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The goal of lnmCluster is to cluster microbiome count data, or perform biclustering that simultanously clustering observations and taxa.
You can install the released version of lnmCluster from CRAN with:
install.packages("lnmCluster")This is a basic example which shows you how to solve a common problem:
library(lnmCluster)
## basic example code
#generate toy data with n=100, K=5,
#set up parameters
n<-100
p<-5
mu1<-c(-2.8,-1.3,-1.6,-3.9,-2.6)
B1<-matrix(c(1,0,1,0,1,0,0,1,0,1),nrow = p, byrow=TRUE)
T1<-diag(c(2.9,0.5))
D1<-diag(c(0.52, 1.53, 0.56, 0.19, 1.32))
cov1<-B1%*%T1%*%t(B1)+D1
mu2<-c(1.5,-2.7,-1.1,-0.4,-1.4)
B2<-matrix(c(1,0,1,0,0,1,0,1,0,1),nrow = p, byrow=TRUE)
T2<-diag(c(0.2,0.003))
D2<-diag(c(0.01, 0.62, 0.45, 0.01, 0.37))
cov2<-B2%*%T2%*%t(B2)+D2
#generate normal distribution
library(mvtnorm)
#> Warning: package 'mvtnorm' was built under R version 4.5.2
simp<-rmultinom(n,1,c(0.6,0.4))
lab<-as.factor(apply(t(simp),1,which.max))
df<-matrix(0,nrow=n,ncol=p)
for (i in 1:n) {
if(lab[i]==1){df[i,]<-rmvnorm(1,mu1,sigma = cov1)}
else if(lab[i]==2){df[i,]<-rmvnorm(1,mu2,sigma = cov2)}
}
#apply inverse of additive log ratio and transform normal to count data
f_df<-cbind(df,0)
z<-exp(f_df)/rowSums(exp(f_df))
W_count<-matrix(0,nrow=n,ncol=p+1)
for (i in 1:n) {
W_count[i,]<-rmultinom(1,runif(1,10000,20000),z[i,])
}
#for Logistic normal multinomial bicluster mixture model (LNM-BMM)
lnmbiclust(W_count, range_G=2, range_Q = c(2:3), model="GUU",criteria = "BIC")
#> Best model GUU G = 2 Q= 33
#> $best_model
#> $best_model$z_ig
#> [,1] [,2]
#> [1,] 2.346292e-11 1.000000e+00
#> [2,] 6.282247e-08 9.999999e-01
#> [3,] 1.000000e+00 2.058538e-150
#> [4,] 3.119361e-08 1.000000e+00
#> [5,] 2.058434e-09 1.000000e+00
#> [6,] 1.000000e+00 1.377206e-169
#> [7,] 1.000000e+00 9.610490e-155
#> [8,] 1.000000e+00 2.657811e-139
#> [9,] 1.000000e+00 3.646854e-121
#> [10,] 2.215909e-10 1.000000e+00
#> [11,] 1.000000e+00 6.102691e-208
#> [12,] 1.000000e+00 1.131585e-216
#> [13,] 1.000000e+00 1.699165e-170
#> [14,] 7.548693e-12 1.000000e+00
#> [15,] 1.796601e-08 1.000000e+00
#> [16,] 1.000000e+00 1.128075e-67
#> [17,] 1.000000e+00 1.509443e-147
#> [18,] 1.000000e+00 4.315632e-117
#> [19,] 2.522937e-11 1.000000e+00
#> [20,] 2.452633e-09 1.000000e+00
#> [21,] 2.646343e-11 1.000000e+00
#> [22,] 2.600531e-10 1.000000e+00
#> [23,] 1.000000e+00 3.888815e-212
#> [24,] 1.000000e+00 7.321673e-251
#> [25,] 1.000000e+00 4.846402e-171
#> [26,] 1.000000e+00 4.418556e-159
#> [27,] 6.468417e-12 1.000000e+00
#> [28,] 1.000000e+00 6.116696e-270
#> [29,] 3.558954e-12 1.000000e+00
#> [30,] 1.112650e-12 1.000000e+00
#> [31,] 3.455204e-10 1.000000e+00
#> [32,] 7.960142e-11 1.000000e+00
#> [33,] 1.000000e+00 6.179399e-192
#> [34,] 1.451346e-10 1.000000e+00
#> [35,] 8.374028e-12 1.000000e+00
#> [36,] 8.004622e-11 1.000000e+00
#> [37,] 1.000000e+00 1.360395e-91
#> [38,] 1.000000e+00 1.295764e-176
#> [39,] 1.000000e+00 1.454039e-168
#> [40,] 2.062631e-09 1.000000e+00
#> [41,] 1.000000e+00 1.312430e-136
#> [42,] 1.000000e+00 6.611847e-230
#> [43,] 1.000000e+00 1.157349e-188
#> [44,] 5.443968e-11 1.000000e+00
#> [45,] 1.000000e+00 3.621723e-205
#> [46,] 1.000000e+00 1.073115e-156
#> [47,] 5.762581e-11 1.000000e+00
#> [48,] 1.000000e+00 3.413277e-130
#> [49,] 1.000000e+00 4.385773e-128
#> [50,] 3.791841e-10 1.000000e+00
#> [51,] 1.000000e+00 7.332319e-169
#> [52,] 6.282429e-12 1.000000e+00
#> [53,] 1.000000e+00 6.068707e-166
#> [54,] 1.000000e+00 3.346398e-199
#> [55,] 1.000000e+00 8.747135e-195
#> [56,] 3.607100e-12 1.000000e+00
#> [57,] 3.670120e-12 1.000000e+00
#> [58,] 1.000000e+00 2.435308e-67
#> [59,] 9.632512e-11 1.000000e+00
#> [60,] 1.000000e+00 6.764577e-130
#> [61,] 4.878257e-13 1.000000e+00
#> [62,] 1.000000e+00 2.061539e-178
#> [63,] 1.000000e+00 1.124872e-70
#> [64,] 1.148123e-10 1.000000e+00
#> [65,] 1.000000e+00 1.159670e-106
#> [66,] 1.000000e+00 5.231239e-280
#> [67,] 1.000000e+00 2.444900e-216
#> [68,] 2.846967e-10 1.000000e+00
#> [69,] 1.619600e-09 1.000000e+00
#> [70,] 1.000000e+00 7.426792e-144
#> [71,] 2.956201e-09 1.000000e+00
#> [72,] 1.000000e+00 7.627614e-107
#> [73,] 1.000000e+00 1.388631e-193
#> [74,] 1.000000e+00 9.985620e-293
#> [75,] 1.000000e+00 9.025065e-251
#> [76,] 1.562629e-10 1.000000e+00
#> [77,] 1.000000e+00 1.394375e-289
#> [78,] 1.000000e+00 1.239757e-235
#> [79,] 1.584973e-09 1.000000e+00
#> [80,] 1.000000e+00 9.604406e-105
#> [81,] 1.000000e+00 1.419831e-206
#> [82,] 1.600001e-10 1.000000e+00
#> [83,] 1.000000e+00 1.366650e-184
#> [84,] 1.000000e+00 1.189085e-79
#> [85,] 2.102202e-12 1.000000e+00
#> [86,] 4.376196e-12 1.000000e+00
#> [87,] 4.866034e-10 1.000000e+00
#> [88,] 1.099795e-11 1.000000e+00
#> [89,] 9.576660e-09 1.000000e+00
#> [90,] 7.989126e-11 1.000000e+00
#> [91,] 3.726827e-10 1.000000e+00
#> [92,] 3.032427e-10 1.000000e+00
#> [93,] 1.000000e+00 9.647933e-63
#> [94,] 1.000000e+00 4.401909e-222
#> [95,] 3.949680e-11 1.000000e+00
#> [96,] 1.000000e+00 7.158648e-99
#> [97,] 1.000000e+00 3.922472e-135
#> [98,] 1.000000e+00 2.379257e-100
#> [99,] 1.000000e+00 7.506145e-100
#> [100,] 1.000000e+00 1.353893e-63
#>
#> $best_model$cluster
#> [1] 2 2 1 2 2 1 1 1 1 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 2 1 2 2 2 2 1 2 2 2 1
#> [38] 1 1 2 1 1 1 2 1 1 2 1 1 2 1 2 1 1 1 2 2 1 2 1 2 1 1 2 1 1 1 2 2 1 2 1 1 1
#> [75] 1 2 1 1 2 1 1 2 1 1 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1
#>
#> $best_model$mu_g
#> $best_model$mu_g[[1]]
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,8] [,9] [,10] [,11] [,12] [,13] [,14]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,15] [,16] [,17] [,18] [,19] [,20] [,21]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,22] [,23] [,24] [,25] [,26] [,27] [,28]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,29] [,30] [,31] [,32] [,33] [,34] [,35]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,36] [,37] [,38] [,39] [,40] [,41] [,42]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,50] [,51] [,52] [,53] [,54] [,55] [,56]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,57] [,58] [,59] [,60] [,61] [,62] [,63]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,64] [,65] [,66] [,67] [,68] [,69] [,70]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,71] [,72] [,73] [,74] [,75] [,76] [,77]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,78] [,79] [,80] [,81] [,82] [,83] [,84]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,85] [,86] [,87] [,88] [,89] [,90] [,91]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,92] [,93] [,94] [,95] [,96] [,97] [,98]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,99] [,100]
#> [1,] -3.093636 -3.093636
#> [2,] -1.741753 -1.741753
#> [3,] -1.683499 -1.683499
#> [4,] -3.759447 -3.759447
#> [5,] -2.555090 -2.555090
#>
#> $best_model$mu_g[[2]]
#> [,1] [,2] [,3] [,4] [,5] [,6]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,7] [,8] [,9] [,10] [,11] [,12]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,13] [,14] [,15] [,16] [,17] [,18]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,19] [,20] [,21] [,22] [,23] [,24]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,25] [,26] [,27] [,28] [,29] [,30]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,31] [,32] [,33] [,34] [,35] [,36]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,37] [,38] [,39] [,40] [,41] [,42]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,43] [,44] [,45] [,46] [,47] [,48]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,49] [,50] [,51] [,52] [,53] [,54]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,55] [,56] [,57] [,58] [,59] [,60]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,61] [,62] [,63] [,64] [,65] [,66]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,67] [,68] [,69] [,70] [,71] [,72]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,73] [,74] [,75] [,76] [,77] [,78]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,79] [,80] [,81] [,82] [,83] [,84]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,85] [,86] [,87] [,88] [,89] [,90]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,91] [,92] [,93] [,94] [,95] [,96]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,97] [,98] [,99] [,100]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240
#>
#>
#> $best_model$pi_g
#> [1] 0.56 0.44
#>
#> $best_model$B_g
#> $best_model$B_g[[1]]
#> [,1] [,2] [,3]
#> 1 1 0 0
#> 2 1 0 0
#> 3 1 0 0
#> 4 0 0 1
#> 5 0 0 1
#>
#> $best_model$B_g[[2]]
#> [,1] [,2] [,3]
#> 1 1 0 0
#> 2 1 0 0
#> 3 1 0 0
#> 4 0 0 1
#> 5 0 0 1
#>
#>
#> $best_model$T_g
#> $best_model$T_g[[1]]
#> [,1] [,2] [,3]
#> [1,] 4.324268 0.000000 0.0000000
#> [2,] 0.000000 4.565118 0.0000000
#> [3,] 0.000000 0.000000 0.4241664
#>
#> $best_model$T_g[[2]]
#> [,1] [,2] [,3]
#> [1,] 0.05617916 0.00000000 0.0000000000
#> [2,] 0.00000000 0.09943324 0.0000000000
#> [3,] 0.00000000 0.00000000 0.0008258051
#>
#>
#> $best_model$D_g
#> $best_model$D_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.612282 0.000000 0.0000000 0.0000000 0.000000
#> [2,] 0.000000 1.266749 0.0000000 0.0000000 0.000000
#> [3,] 0.000000 0.000000 0.4925185 0.0000000 0.000000
#> [4,] 0.000000 0.000000 0.0000000 0.2548744 0.000000
#> [5,] 0.000000 0.000000 0.0000000 0.0000000 1.197825
#>
#> $best_model$D_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.161736 0.0000000 0.0000000 0.00000000 0.0000000
#> [2,] 0.000000 0.4598897 0.0000000 0.00000000 0.0000000
#> [3,] 0.000000 0.0000000 0.3798805 0.00000000 0.0000000
#> [4,] 0.000000 0.0000000 0.0000000 0.01170746 0.0000000
#> [5,] 0.000000 0.0000000 0.0000000 0.00000000 0.4717137
#>
#>
#> $best_model$COV
#> $best_model$COV[[1]]
#> 1 2 3 4 5
#> 1 4.936550 4.324268 4.324268 0.0000000 0.0000000
#> 2 4.324268 5.591016 4.324268 0.0000000 0.0000000
#> 3 4.324268 4.324268 4.816786 0.0000000 0.0000000
#> 4 0.000000 0.000000 0.000000 0.6790407 0.4241664
#> 5 0.000000 0.000000 0.000000 0.4241664 1.6219913
#>
#> $best_model$COV[[2]]
#> 1 2 3 4 5
#> 1 0.21791515 0.05617916 0.05617916 0.0000000000 0.0000000000
#> 2 0.05617916 0.51606888 0.05617916 0.0000000000 0.0000000000
#> 3 0.05617916 0.05617916 0.43605964 0.0000000000 0.0000000000
#> 4 0.00000000 0.00000000 0.00000000 0.0125332681 0.0008258051
#> 5 0.00000000 0.00000000 0.00000000 0.0008258051 0.4725394571
#>
#>
#> $best_model$beta_g
#> $best_model$beta_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] -3.093636 -1.741753 -1.683499 -3.759447 -2.55509
#>
#> $best_model$beta_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 1.549258 -2.641721 -1.16642 -0.4175862 -1.373124
#>
#>
#> $best_model$Sigma_g
#> $best_model$Sigma_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 4.9837794 4.0038049 4.4828585 -0.2382525 -0.6129037
#> [2,] 4.0038049 4.9699143 4.1080976 -0.1689424 -0.2446030
#> [3,] 4.4828585 4.1080976 5.0265949 -0.1818390 -0.1633716
#> [4,] -0.2382525 -0.1689424 -0.1818390 0.6496205 0.5227455
#> [5,] -0.6129037 -0.2446030 -0.1633716 0.5227455 1.7603113
#>
#> $best_model$Sigma_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.22530895 0.099909099 0.042194604 -0.0163226287 -0.1174788284
#> [2,] 0.09990910 0.512496020 -0.055931410 -0.0040632725 -0.1861161610
#> [3,] 0.04219460 -0.055931410 0.407504873 -0.0082524856 -0.0127850606
#> [4,] -0.01632263 -0.004063273 -0.008252486 0.0124111982 0.0002608523
#> [5,] -0.11747883 -0.186116161 -0.012785061 0.0002608523 0.4724558478
#>
#>
#> $best_model$overall_loglik
#> [1] -Inf -4961.439 -4227.036 -4040.003 -3933.985 -3905.120 -3894.540
#> [8] -3890.267 -3888.241 -3887.169 -3886.554 -3886.167 -3885.902 -3885.705
#> [15] -3885.550 -3885.424 -3885.319 -3885.231 -3885.156 -3885.092 -3885.037
#> [22] -3884.989 -3884.947 -3884.910 -3884.876 -3884.846 -3884.818 -3884.792
#> [29] -3884.767 -3884.745 -3884.723 -3884.703 -3884.684 -3884.667 -3884.650
#> [36] -3884.635 -3884.621 -3884.607 -3884.594 -3884.582 -3884.571 -3884.560
#> [43] -3884.550 -3884.540 -3884.531 -3884.522 -3884.316 -3865.645 -3854.968
#> [50] -3852.583 -3851.995 -3851.757 -3851.636 -3851.568 -3851.525 -3851.492
#> [57] -3851.462 -3851.433 -3851.403 -3851.370 -3851.333 -3851.294 -3851.252
#> [64] -3851.206 -3851.158 -3851.107 -3819.468 -3817.542 -3815.700 -3813.563
#> [71] -3811.061 -3808.382 -3805.920 -3804.056 -3802.902 -3802.308 -3802.043
#> [78] -3801.934 -3801.889 -3801.870 -3801.861
#>
#> $best_model$ICL
#> [1] -7751.088
#>
#> $best_model$BIC
#> [1] -7751.088
#>
#> $best_model$AIC
#> [1] -7667.722
#>
#>
#> $all_fitted_model
#> name AIC BIC ICL
#> 2 GUU G2 Q33 -7667.722 -7751.088 -7751.088
#> 1 GUU G2 Q22 -7794.569 -7872.724 -7872.726
#for Logistic normal multinomial factor analyzer (LNM-FA)
lnmfa(W_count, range_G=2, range_Q = c(2:3), model="GUU",criteria = "BIC")
#> Best model GUU G = 2 Q= 33
#> $best_model
#> $best_model$z_ig
#> [,1] [,2]
#> [1,] 1.623739e-11 1.000000e+00
#> [2,] 3.366848e-08 1.000000e+00
#> [3,] 1.000000e+00 1.464891e-199
#> [4,] 4.849383e-10 1.000000e+00
#> [5,] 1.639690e-09 1.000000e+00
#> [6,] 1.000000e+00 1.045265e-223
#> [7,] 1.000000e+00 9.078540e-199
#> [8,] 1.000000e+00 1.299974e-183
#> [9,] 1.000000e+00 3.562240e-166
#> [10,] 2.870829e-10 1.000000e+00
#> [11,] 1.000000e+00 5.297049e-276
#> [12,] 1.000000e+00 7.788881e-263
#> [13,] 1.000000e+00 4.350256e-216
#> [14,] 1.990869e-12 1.000000e+00
#> [15,] 1.813466e-09 1.000000e+00
#> [16,] 1.000000e+00 1.803458e-95
#> [17,] 1.000000e+00 2.545785e-188
#> [18,] 1.000000e+00 3.180112e-162
#> [19,] 6.390678e-12 1.000000e+00
#> [20,] 2.919130e-10 1.000000e+00
#> [21,] 2.700009e-11 1.000000e+00
#> [22,] 9.799156e-10 1.000000e+00
#> [23,] 1.000000e+00 6.887023e-247
#> [24,] 1.000000e+00 7.232276e-291
#> [25,] 1.000000e+00 1.591854e-228
#> [26,] 1.000000e+00 2.388496e-206
#> [27,] 5.474325e-12 1.000000e+00
#> [28,] 1.000000e+00 8.160870e-293
#> [29,] 1.561654e-12 1.000000e+00
#> [30,] 6.987235e-12 1.000000e+00
#> [31,] 1.206373e-10 1.000000e+00
#> [32,] 2.362889e-10 1.000000e+00
#> [33,] 1.000000e+00 8.393206e-252
#> [34,] 4.018223e-10 1.000000e+00
#> [35,] 2.285648e-12 1.000000e+00
#> [36,] 6.749334e-12 1.000000e+00
#> [37,] 1.000000e+00 4.658439e-118
#> [38,] 1.000000e+00 5.489357e-230
#> [39,] 1.000000e+00 1.634361e-206
#> [40,] 3.718258e-09 1.000000e+00
#> [41,] 1.000000e+00 3.654590e-175
#> [42,] 1.000000e+00 4.962283e-276
#> [43,] 1.000000e+00 1.012761e-248
#> [44,] 5.214896e-11 1.000000e+00
#> [45,] 1.000000e+00 8.519029e-256
#> [46,] 1.000000e+00 4.059436e-213
#> [47,] 7.142085e-12 1.000000e+00
#> [48,] 1.000000e+00 2.948920e-154
#> [49,] 1.000000e+00 8.442309e-170
#> [50,] 7.957404e-10 1.000000e+00
#> [51,] 1.000000e+00 7.011643e-222
#> [52,] 2.836623e-12 1.000000e+00
#> [53,] 1.000000e+00 1.409925e-211
#> [54,] 1.000000e+00 5.891984e-246
#> [55,] 1.000000e+00 2.211360e-252
#> [56,] 1.628521e-12 1.000000e+00
#> [57,] 1.528205e-12 1.000000e+00
#> [58,] 1.000000e+00 3.239808e-89
#> [59,] 3.864609e-12 1.000000e+00
#> [60,] 1.000000e+00 5.110295e-152
#> [61,] 3.196693e-13 1.000000e+00
#> [62,] 1.000000e+00 1.631947e-230
#> [63,] 1.000000e+00 8.913738e-78
#> [64,] 1.382918e-10 1.000000e+00
#> [65,] 1.000000e+00 1.186687e-133
#> [66,] 1.000000e+00 4.131328e-291
#> [67,] 1.000000e+00 4.630353e-287
#> [68,] 2.958614e-10 1.000000e+00
#> [69,] 3.882656e-09 1.000000e+00
#> [70,] 1.000000e+00 6.374561e-194
#> [71,] 8.841316e-10 1.000000e+00
#> [72,] 1.000000e+00 8.722705e-145
#> [73,] 1.000000e+00 8.919039e-249
#> [74,] 1.000000e+00 8.163173e-292
#> [75,] 1.000000e+00 8.285329e-292
#> [76,] 2.274424e-12 1.000000e+00
#> [77,] 1.000000e+00 1.348811e-48
#> [78,] 1.000000e+00 2.316026e-304
#> [79,] 3.396280e-08 1.000000e+00
#> [80,] 1.000000e+00 5.256203e-143
#> [81,] 1.000000e+00 1.891798e-277
#> [82,] 5.208438e-11 1.000000e+00
#> [83,] 1.000000e+00 5.175166e-240
#> [84,] 1.000000e+00 1.803251e-74
#> [85,] 3.224843e-12 1.000000e+00
#> [86,] 2.374338e-11 1.000000e+00
#> [87,] 4.090745e-11 1.000000e+00
#> [88,] 4.893779e-12 1.000000e+00
#> [89,] 8.441400e-10 1.000000e+00
#> [90,] 4.985893e-11 1.000000e+00
#> [91,] 3.309518e-11 1.000000e+00
#> [92,] 1.630165e-11 1.000000e+00
#> [93,] 1.000000e+00 5.878891e-83
#> [94,] 1.000000e+00 3.587699e-288
#> [95,] 2.768577e-11 1.000000e+00
#> [96,] 1.000000e+00 5.127944e-122
#> [97,] 1.000000e+00 2.738594e-179
#> [98,] 1.000000e+00 6.205654e-122
#> [99,] 1.000000e+00 3.821548e-132
#> [100,] 1.000000e+00 1.761360e-65
#>
#> $best_model$cluster
#> [1] 2 2 1 2 2 1 1 1 1 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 2 1 2 2 2 2 1 2 2 2 1
#> [38] 1 1 2 1 1 1 2 1 1 2 1 1 2 1 2 1 1 1 2 2 1 2 1 2 1 1 2 1 1 1 2 2 1 2 1 1 1
#> [75] 1 2 1 1 2 1 1 2 1 1 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1
#>
#> $best_model$mu_g
#> $best_model$mu_g[[1]]
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,8] [,9] [,10] [,11] [,12] [,13] [,14]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,15] [,16] [,17] [,18] [,19] [,20] [,21]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,22] [,23] [,24] [,25] [,26] [,27] [,28]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,29] [,30] [,31] [,32] [,33] [,34] [,35]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,36] [,37] [,38] [,39] [,40] [,41] [,42]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,50] [,51] [,52] [,53] [,54] [,55] [,56]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,57] [,58] [,59] [,60] [,61] [,62] [,63]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,64] [,65] [,66] [,67] [,68] [,69] [,70]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,71] [,72] [,73] [,74] [,75] [,76] [,77]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,78] [,79] [,80] [,81] [,82] [,83] [,84]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,85] [,86] [,87] [,88] [,89] [,90] [,91]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,92] [,93] [,94] [,95] [,96] [,97] [,98]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,99] [,100]
#> [1,] -3.089960 -3.089960
#> [2,] -1.740773 -1.740773
#> [3,] -1.683528 -1.683528
#> [4,] -3.762055 -3.762055
#> [5,] -2.557669 -2.557669
#>
#> $best_model$mu_g[[2]]
#> [,1] [,2] [,3] [,4] [,5] [,6]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,7] [,8] [,9] [,10] [,11] [,12]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,13] [,14] [,15] [,16] [,17] [,18]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,19] [,20] [,21] [,22] [,23] [,24]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,25] [,26] [,27] [,28] [,29] [,30]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,31] [,32] [,33] [,34] [,35] [,36]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,37] [,38] [,39] [,40] [,41] [,42]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,43] [,44] [,45] [,46] [,47] [,48]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,49] [,50] [,51] [,52] [,53] [,54]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,55] [,56] [,57] [,58] [,59] [,60]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,61] [,62] [,63] [,64] [,65] [,66]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,67] [,68] [,69] [,70] [,71] [,72]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,73] [,74] [,75] [,76] [,77] [,78]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,79] [,80] [,81] [,82] [,83] [,84]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,85] [,86] [,87] [,88] [,89] [,90]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,91] [,92] [,93] [,94] [,95] [,96]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,97] [,98] [,99] [,100]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792
#>
#>
#> $best_model$pi_g
#> [1] 0.56 0.44
#>
#> $best_model$Lambda_g
#> $best_model$Lambda_g[[1]]
#> [,1] [,2] [,3]
#> [1,] -1.12801289 -0.33436369 0.93156888
#> [2,] -1.10232911 -0.41496471 0.73543024
#> [3,] -0.97321565 -0.57248762 1.19454893
#> [4,] 0.08335357 0.01683786 -0.08952548
#> [5,] 0.47352164 0.03485944 0.20946317
#>
#> $best_model$Lambda_g[[2]]
#> [,1] [,2] [,3]
#> [1,] -1.12801289 -0.33436369 0.93156888
#> [2,] -1.10232911 -0.41496471 0.73543024
#> [3,] -0.97321565 -0.57248762 1.19454893
#> [4,] 0.08335357 0.01683786 -0.08952548
#> [5,] 0.47352164 0.03485944 0.20946317
#>
#>
#> $best_model$D_g
#> $best_model$D_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.6419823 0.000000 0.0000000 0.0000000 0.000000
#> [2,] 0.0000000 1.329593 0.0000000 0.0000000 0.000000
#> [3,] 0.0000000 0.000000 0.2702572 0.0000000 0.000000
#> [4,] 0.0000000 0.000000 0.0000000 0.6413843 0.000000
#> [5,] 0.0000000 0.000000 0.0000000 0.0000000 1.469307
#>
#> $best_model$D_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.0429006 0.0000000 0.0000000 0.00000000 0.0000000
#> [2,] 0.0000000 0.4412286 0.0000000 0.00000000 0.0000000
#> [3,] 0.0000000 0.0000000 0.4116782 0.00000000 0.0000000
#> [4,] 0.0000000 0.0000000 0.0000000 0.01026659 0.0000000
#> [5,] 0.0000000 0.0000000 0.0000000 0.00000000 0.2408416
#>
#>
#> $best_model$COV
#> $best_model$COV[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 2.8940158 2.0673049 2.4020576 -0.18309476 -0.35070974
#> [2,] 2.0673049 3.2578459 2.1889205 -0.16478023 -0.38248387
#> [3,] 2.4020576 2.1889205 2.9721336 -0.19774505 -0.23057679
#> [4,] -0.1830948 -0.1647802 -0.1977451 0.65665155 0.02130242
#> [5,] -0.3507097 -0.3824839 -0.2305768 0.02130242 1.73863415
#>
#> $best_model$COV[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 2.2950412 2.0673049 2.4020576 -0.18309476 -0.35070974
#> [2,] 2.0673049 2.3693708 2.1889205 -0.16478023 -0.38248387
#> [3,] 2.4020576 2.1889205 3.1134733 -0.19774505 -0.23057679
#> [4,] -0.1830948 -0.1647802 -0.1977451 0.02551900 0.02130242
#> [5,] -0.3507097 -0.3824839 -0.2305768 0.02130242 0.51014867
#>
#>
#> $best_model$beta_g
#> $best_model$beta_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] -3.08996 -1.740773 -1.683528 -3.762055 -2.557669
#>
#> $best_model$beta_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 1.549182 -2.641611 -1.166731 -0.4183387 -1.373179
#>
#>
#> $best_model$overall_loglik
#> [1] -Inf -4419.871 -4062.346 -4011.071 -3988.167 -3969.423 -3951.997
#> [8] -3935.757 -3921.071 -3908.338 -3897.732 -3889.140 -3882.256 -3876.714
#> [15] -3872.191 -3868.445 -3865.316 -3862.692 -3860.485 -3858.619 -3857.023
#> [22] -3855.641 -3854.433 -3853.369 -3852.433 -3851.617 -3850.922 -3850.344
#> [29] -3849.878 -3849.509 -3849.219 -3848.986 -3848.793 -3848.625 -3848.474
#> [36] -3848.334 -3848.199 -3848.070 -3847.944 -3847.823 -3847.705 -3847.593
#> [43] -3847.488 -3847.390 -3847.299 -3847.217 -3847.141 -3847.073 -3847.011
#> [50] -3846.955 -3846.905 -3846.858 -3846.816 -3846.777 -3846.742 -3846.709
#> [57] -3846.679 -3846.651 -3846.625 -3846.602 -3846.579 -3846.559 -3846.540
#> [64] -3846.522 -3846.506 -3846.490 -3846.476 -3846.463 -3846.451 -3846.439
#> [71] -3846.429 -3846.419 -3846.410 -3846.401 -3846.393 -3846.386 -3846.379
#> [78] -3846.373 -3846.367 -3846.361 -3846.356 -3846.351 -3846.346 -3846.342
#> [85] -3846.338 -3846.334 -3846.330 -3846.327 -3846.323 -3846.320 -3846.317
#> [92] -3846.314 -3846.312 -3846.309 -3846.307 -3846.304 -3846.302 -3846.300
#> [99] -3846.298 -3846.296 -3846.295 -3846.293 -3846.291 -3846.290 -3846.288
#> [106] -3846.287 -3846.286 -3846.285 -3846.283 -3846.282 -3846.281 -3846.280
#> [113] -3846.279 -3846.279 -3846.278 -3846.277 -3846.276 -3846.276 -3846.275
#>
#> $best_model$ICL
#> [1] -7844.52
#>
#> $best_model$BIC
#> [1] -7844.52
#>
#> $best_model$AIC
#> [1] -7758.55
#>
#>
#> $all_fitted_model
#> name AIC BIC ICL
#> 2 GUU G2 Q33 -7758.550 -7844.520 -7844.520
#> 1 GUU G2 Q22 -7807.702 -7885.858 -7885.858
#for Penalized logistic normal multinomial factor analyzer (PLNM-FA)
plnmfa(W_count, range_G=2, range_Q = 3, model="UUU",range_tuning=seq(0.7,0.9,by=0.05))
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Best model UUU G = 2 Q= 33 T=0.85
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> $best_model
#> $best_model$z_ig
#> [,1] [,2]
#> [1,] 3.963567e-13 1.000000e+00
#> [2,] 3.396564e-09 1.000000e+00
#> [3,] 1.000000e+00 3.074903e-193
#> [4,] 1.483146e-10 1.000000e+00
#> [5,] 4.564715e-11 1.000000e+00
#> [6,] 1.000000e+00 7.050019e-243
#> [7,] 1.000000e+00 2.288247e-197
#> [8,] 1.000000e+00 1.218513e-185
#> [9,] 1.000000e+00 2.155656e-164
#> [10,] 5.520081e-12 1.000000e+00
#> [11,] 1.000000e+00 1.619426e-293
#> [12,] 1.000000e+00 2.465064e-306
#> [13,] 1.000000e+00 1.004709e-206
#> [14,] 3.390340e-14 1.000000e+00
#> [15,] 1.743225e-10 1.000000e+00
#> [16,] 1.000000e+00 5.105956e-91
#> [17,] 1.000000e+00 2.833349e-218
#> [18,] 1.000000e+00 9.873531e-163
#> [19,] 2.129876e-13 1.000000e+00
#> [20,] 3.658377e-11 1.000000e+00
#> [21,] 5.938598e-13 1.000000e+00
#> [22,] 1.037497e-11 1.000000e+00
#> [23,] 1.000000e+00 8.727016e-287
#> [24,] 1.000000e+00 5.559353e-291
#> [25,] 1.000000e+00 4.025202e-237
#> [26,] 1.000000e+00 2.260877e-199
#> [27,] 1.357533e-13 1.000000e+00
#> [28,] 1.000000e+00 2.439725e-293
#> [29,] 2.273850e-14 1.000000e+00
#> [30,] 2.962595e-14 1.000000e+00
#> [31,] 3.818851e-12 1.000000e+00
#> [32,] 3.717872e-12 1.000000e+00
#> [33,] 1.000000e+00 4.177833e-263
#> [34,] 9.648868e-12 1.000000e+00
#> [35,] 2.738814e-14 1.000000e+00
#> [36,] 1.925396e-12 1.000000e+00
#> [37,] 1.000000e+00 1.091835e-110
#> [38,] 1.000000e+00 2.394661e-235
#> [39,] 1.000000e+00 2.964455e-198
#> [40,] 1.411479e-10 1.000000e+00
#> [41,] 1.000000e+00 7.345944e-170
#> [42,] 1.000000e+00 6.804635e-295
#> [43,] 1.000000e+00 1.349021e-244
#> [44,] 2.305296e-12 1.000000e+00
#> [45,] 1.000000e+00 2.455751e-247
#> [46,] 1.000000e+00 4.140738e-215
#> [47,] 6.597251e-13 1.000000e+00
#> [48,] 1.000000e+00 5.342356e-191
#> [49,] 1.000000e+00 1.469639e-170
#> [50,] 2.302505e-11 1.000000e+00
#> [51,] 1.000000e+00 8.681405e-217
#> [52,] 6.902501e-14 1.000000e+00
#> [53,] 1.000000e+00 7.163666e-204
#> [54,] 1.000000e+00 8.801148e-239
#> [55,] 1.000000e+00 3.215476e-259
#> [56,] 2.189487e-14 1.000000e+00
#> [57,] 1.661977e-14 1.000000e+00
#> [58,] 1.000000e+00 3.670402e-85
#> [59,] 3.286997e-12 1.000000e+00
#> [60,] 1.000000e+00 4.680250e-177
#> [61,] 3.585437e-15 1.000000e+00
#> [62,] 1.000000e+00 3.304519e-243
#> [63,] 1.000000e+00 4.578356e-78
#> [64,] 1.861869e-12 1.000000e+00
#> [65,] 1.000000e+00 5.398334e-128
#> [66,] 1.000000e+00 1.650446e-291
#> [67,] 1.000000e+00 5.288469e-298
#> [68,] 2.652847e-11 1.000000e+00
#> [69,] 1.273757e-10 1.000000e+00
#> [70,] 1.000000e+00 4.740619e-198
#> [71,] 1.431993e-10 1.000000e+00
#> [72,] 1.000000e+00 5.413627e-155
#> [73,] 1.000000e+00 2.278355e-265
#> [74,] 1.000000e+00 1.512848e-292
#> [75,] 1.000000e+00 7.732816e-292
#> [76,] 4.851050e-12 1.000000e+00
#> [77,] 1.000000e+00 6.947277e-57
#> [78,] 1.000000e+00 7.453610e-293
#> [79,] 3.280032e-10 1.000000e+00
#> [80,] 1.000000e+00 1.483666e-145
#> [81,] 1.000000e+00 5.996203e-281
#> [82,] 3.163799e-12 1.000000e+00
#> [83,] 1.000000e+00 1.702435e-250
#> [84,] 1.000000e+00 5.091003e-79
#> [85,] 4.013100e-14 1.000000e+00
#> [86,] 3.650088e-13 1.000000e+00
#> [87,] 5.888976e-12 1.000000e+00
#> [88,] 1.164635e-13 1.000000e+00
#> [89,] 1.051646e-10 1.000000e+00
#> [90,] 2.443114e-12 1.000000e+00
#> [91,] 5.373615e-12 1.000000e+00
#> [92,] 2.168967e-12 1.000000e+00
#> [93,] 1.000000e+00 3.829753e-79
#> [94,] 1.000000e+00 1.571084e-297
#> [95,] 6.417236e-13 1.000000e+00
#> [96,] 1.000000e+00 4.067807e-116
#> [97,] 1.000000e+00 1.209848e-178
#> [98,] 1.000000e+00 7.029996e-117
#> [99,] 1.000000e+00 3.734158e-129
#> [100,] 1.000000e+00 2.748544e-69
#>
#> $best_model$cluster
#> [1] 2 2 1 2 2 1 1 1 1 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 2 1 2 2 2 2 1 2 2 2 1
#> [38] 1 1 2 1 1 1 2 1 1 2 1 1 2 1 2 1 1 1 2 2 1 2 1 2 1 1 2 1 1 1 2 2 1 2 1 1 1
#> [75] 1 2 1 1 2 1 1 2 1 1 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1
#>
#> $best_model$mu_g
#> $best_model$mu_g[[1]]
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,8] [,9] [,10] [,11] [,12] [,13] [,14]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,15] [,16] [,17] [,18] [,19] [,20] [,21]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,22] [,23] [,24] [,25] [,26] [,27] [,28]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,29] [,30] [,31] [,32] [,33] [,34] [,35]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,36] [,37] [,38] [,39] [,40] [,41] [,42]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,50] [,51] [,52] [,53] [,54] [,55] [,56]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,57] [,58] [,59] [,60] [,61] [,62] [,63]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,64] [,65] [,66] [,67] [,68] [,69] [,70]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,71] [,72] [,73] [,74] [,75] [,76] [,77]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,78] [,79] [,80] [,81] [,82] [,83] [,84]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,85] [,86] [,87] [,88] [,89] [,90] [,91]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,92] [,93] [,94] [,95] [,96] [,97] [,98]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,99] [,100]
#> [1,] -3.092367 -3.092367
#> [2,] -1.740169 -1.740169
#> [3,] -1.683572 -1.683572
#> [4,] -3.756661 -3.756661
#> [5,] -2.554798 -2.554798
#>
#> $best_model$mu_g[[2]]
#> [,1] [,2] [,3] [,4] [,5] [,6]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,7] [,8] [,9] [,10] [,11] [,12]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,13] [,14] [,15] [,16] [,17] [,18]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,19] [,20] [,21] [,22] [,23] [,24]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,25] [,26] [,27] [,28] [,29] [,30]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,31] [,32] [,33] [,34] [,35] [,36]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,37] [,38] [,39] [,40] [,41] [,42]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,43] [,44] [,45] [,46] [,47] [,48]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,49] [,50] [,51] [,52] [,53] [,54]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,55] [,56] [,57] [,58] [,59] [,60]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,61] [,62] [,63] [,64] [,65] [,66]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,67] [,68] [,69] [,70] [,71] [,72]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,73] [,74] [,75] [,76] [,77] [,78]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,79] [,80] [,81] [,82] [,83] [,84]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,85] [,86] [,87] [,88] [,89] [,90]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,91] [,92] [,93] [,94] [,95] [,96]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,97] [,98] [,99] [,100]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601
#>
#>
#> $best_model$pi_g
#> [1] 0.56 0.44
#>
#> $best_model$Lambda_g
#> $best_model$Lambda_g[[1]]
#> [,1] [,2] [,3]
#> [1,] -1.646051 0.2380172 0
#> [2,] -1.467575 0.0000000 0
#> [3,] -1.734332 0.0000000 0
#> [4,] 0.000000 -0.3760904 0
#> [5,] 0.000000 -0.8986007 0
#>
#> $best_model$Lambda_g[[2]]
#> [,1] [,2] [,3]
#> [1,] -0.236058658 0 0.22139616
#> [2,] -0.293579622 0 0.00000000
#> [3,] 0.000000000 0 0.05254284
#> [4,] 0.006775865 0 -0.05352619
#> [5,] 0.369890832 0 0.00000000
#>
#>
#> $best_model$D_g
#> $best_model$D_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.5648726 0.000000 0.0000000 0.0000000 0.0000000
#> [2,] 0.0000000 1.342814 0.0000000 0.0000000 0.0000000
#> [3,] 0.0000000 0.000000 0.4005575 0.0000000 0.0000000
#> [4,] 0.0000000 0.000000 0.0000000 0.4450252 0.0000000
#> [5,] 0.0000000 0.000000 0.0000000 0.0000000 0.7003053
#>
#> $best_model$D_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.09574593 0.000000 0.0000000 0.000000000 0.0000000
#> [2,] 0.00000000 0.385747 0.0000000 0.000000000 0.0000000
#> [3,] 0.00000000 0.000000 0.3983646 0.000000000 0.0000000
#> [4,] 0.00000000 0.000000 0.0000000 0.009351399 0.0000000
#> [5,] 0.00000000 0.000000 0.0000000 0.000000000 0.2910304
#>
#>
#> $best_model$COV
#> $best_model$COV[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 3.33099569 2.415725 2.854809 -0.08952718 -0.2140350
#> [2,] 2.41572531 3.496597 2.545261 0.00000000 0.0000000
#> [3,] 2.85480949 2.545261 3.408484 0.00000000 0.0000000
#> [4,] -0.08952718 0.000000 0.000000 0.58648095 0.3380308
#> [5,] -0.21403496 0.000000 0.000000 0.33803081 1.5077258
#>
#> $best_model$COV[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.20054529 0.069444677 0.011431956 -0.013387788 -0.087358635
#> [2,] 0.06944468 0.471953605 0.000000000 -0.002063799 -0.108296101
#> [3,] 0.01143196 0.000000000 0.401186750 -0.002780944 0.000000000
#> [4,] -0.01338779 -0.002063799 -0.002780944 0.012257639 0.002596177
#> [5,] -0.08735864 -0.108296101 0.000000000 0.002596177 0.427939450
#>
#>
#> $best_model$beta_g
#> $best_model$beta_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] -3.092367 -1.740169 -1.683572 -3.756661 -2.554798
#>
#> $best_model$beta_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 1.548738 -2.64187 -1.167006 -0.4187209 -1.37366
#>
#>
#> $best_model$overall_loglik
#> [1] -Inf -4124.544 -3886.945 -3869.154 -3865.734 -3864.190 -3863.096
#> [8] -3862.220 -3861.464 -3860.781 -3860.141 -3859.525 -3858.948 -3858.379
#> [15] -3857.800 -3857.201 -3856.571 -3855.898 -3855.165 -3854.355 -3853.456
#> [22] -3852.472 -3851.588 -3850.925 -3850.441 -3850.000 -3849.574 -3849.151
#> [29] -3848.730 -3848.311 -3847.891 -3847.489 -3847.112 -3846.752 -3846.431
#> [36] -3846.172 -3845.982 -3845.807 -3845.639 -3845.476 -3845.314 -3845.152
#> [43] -3844.987 -3844.819 -3844.645 -3844.465 -3844.276 -3844.077 -3843.865
#> [50] -3843.636 -3843.386 -3843.107 -3842.790 -3842.422 -3842.012 -3841.524
#> [57] -3840.930 -3840.224 -3839.427 -3838.583 -3838.445 -3838.360 -3838.268
#> [64] -3838.164 -3838.047 -3837.918 -3837.785 -3837.653 -3837.524 -3837.403
#> [71] -3837.291 -3837.189 -3837.091 -3836.989 -3836.891 -3836.854 -3836.814
#> [78] -3836.770 -3836.722 -3836.668 -3836.609 -3836.545 -3836.501 -3836.480
#> [85] -3836.461 -3836.445 -3836.432 -3836.420 -3836.415
#>
#> $best_model$ICL
#> [1] -7743.335
#>
#> $best_model$BIC
#> [1] -7743.335
#>
#> $best_model$AIC
#> [1] -7654.759
#>
#> $best_model$tuning
#> [1] 0.85 0.85
#>
#>
#> $all_fitted_model
#> name AIC BIC ICL
#> 4 UUU G2 Q33 T0.85 -7654.759 -7743.335 -7743.335
#> 9 UUU G2 Q33 T0.85 -7654.759 -7743.335 -7743.335
#> 14 UUU G2 Q33 T0.85 -7654.759 -7743.335 -7743.335
#> 19 UUU G2 Q33 T0.85 -7654.759 -7743.335 -7743.335
#> 24 UUU G2 Q33 T0.85 -7654.759 -7743.335 -7743.335
#> 5 UUU G2 Q33 T0.9 -7676.087 -7751.637 -7751.637
#> 10 UUU G2 Q33 T0.9 -7676.087 -7751.637 -7751.637
#> 15 UUU G2 Q33 T0.9 -7676.087 -7751.637 -7751.637
#> 20 UUU G2 Q33 T0.9 -7676.087 -7751.637 -7751.637
#> 25 UUU G2 Q33 T0.9 -7676.087 -7751.637 -7751.637
#> 3 UUU G2 Q33 T0.8 -7656.584 -7755.581 -7755.581
#> 8 UUU G2 Q33 T0.8 -7656.584 -7755.581 -7755.581
#> 13 UUU G2 Q33 T0.8 -7656.584 -7755.581 -7755.581
#> 18 UUU G2 Q33 T0.8 -7656.584 -7755.581 -7755.581
#> 23 UUU G2 Q33 T0.8 -7656.584 -7755.581 -7755.581
#> 2 UUU G2 Q33 T0.75 -7655.891 -7757.493 -7757.493
#> 7 UUU G2 Q33 T0.75 -7655.891 -7757.493 -7757.493
#> 12 UUU G2 Q33 T0.75 -7655.891 -7757.493 -7757.493
#> 17 UUU G2 Q33 T0.75 -7655.891 -7757.493 -7757.493
#> 22 UUU G2 Q33 T0.75 -7655.891 -7757.493 -7757.493
#> 1 UUU G2 Q33 T0.7 -7656.292 -7760.499 -7760.499
#> 6 UUU G2 Q33 T0.7 -7656.292 -7760.499 -7760.499
#> 11 UUU G2 Q33 T0.7 -7656.292 -7760.499 -7760.499
#> 16 UUU G2 Q33 T0.7 -7656.292 -7760.499 -7760.499
#> 21 UUU G2 Q33 T0.7 -7656.292 -7760.499 -7760.499These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
Health stats visible at Monitor.