TensorTools

library(TensorTools)

Introduction

TensorTools is a set of tools to manipulate 3D tensors of data. The package follows the work of Kernfeld, E., Kilmer, M., and Aeron, S. https://doi.org/10.1016/j.laa.2015.07.021. For most operations, the first step is to take a discrete linear transpose along mode 3. The TensorTools package allows manipulation of tensors using one of 6 discrete transforms.

General principles:

  • Results are transformation dependent. In other words, multiplying 2 tensors together using a different transformation will give you a different product.

  • Inverses are not unique. In other words, different transformations yield inverses that are scaled differently. When calculating: tmult(A, tInv(A), "tform") = I, the identity tensor will have zeros for all lateral slices except the first slice and the first lateral slice will be an identity matrix times some scalar. The scalar will be different depending on which transform was used as well as the number of lateral slices.

  • If you calculate the inverse tensor and then use the inverse tensor in a product, you must use the same transformation that was used to find the inverse tensor. The same is true for the tensor transpose function.

S-3 Class

For storing and implementing tensor operations, TensorTools is built around an S-3 class in R. Tensors store multi-dimensional arrays. The modes of a tensor represent the dimensions of the multi-dimensional array that is being stored. Using an S-3 class, one can access the tensor modes by using the standard $ functionality in R. For example, mytensor$modes. Similarly, the data in the tensor can be accessed by mytensor$data.

A <- t_rand(modes=c(3,4,5))
A$modes
#> [1] 3 4 5
A$data
#> , , 1
#> 
#>           [,1]       [,2]        [,3]      [,4]
#> [1,] -1.169704  0.3585726  1.21326760 0.8380304
#> [2,] -1.399304 -1.3433914  0.49591278 0.7165754
#> [3,] -1.535192 -1.2410766 -0.08327957 0.3067835
#> 
#> , , 2
#> 
#>            [,1]       [,2]      [,3]      [,4]
#> [1,]  0.1292711  0.3861184 0.4878557 0.5645443
#> [2,] -0.6051562  0.1817875 1.3465159 0.1276991
#> [3,]  0.4506682 -1.6908141 0.3514618 0.9835504
#> 
#> , , 3
#> 
#>            [,1]        [,2]       [,3]        [,4]
#> [1,] -0.1339859 -1.21182152 -1.0851117 -1.53735777
#> [2,] -0.7035519  0.62133597 -0.3587717 -0.96470457
#> [3,] -1.8017453 -0.05273313  0.7657402  0.03887568
#> 
#> , , 4
#> 
#>           [,1]        [,2]      [,3]        [,4]
#> [1,] 0.1408522  0.03137077 -2.232439 -0.09579496
#> [2,] 0.3439723 -0.16756693  2.835982  1.67630145
#> [3,] 1.2410649 -0.24037063 -1.559198  0.25971827
#> 
#> , , 5
#> 
#>            [,1]       [,2]       [,3]       [,4]
#> [1,] -0.2192646  1.8731039 -1.9164313  0.9711861
#> [2,]  0.6795498 -0.9255441 -1.3380459  0.5498071
#> [3,]  0.8184791  0.6829712 -0.4317155 -0.2413184

Tensor Multiplication

The tensor multiplication function (tmult) multiplies two tensors. Step one is to perform a discrete transform along mode 3. After transformation, the frontal slices are multiplied to together resulting in a new tensor.

Because the frontal faces are multiplied together, the second mode of the first tensor must match the first mode of the second tensor. As a example, we can multiply a 3 × 4 × 2 tensor by a 4 × 5 × 2 tensor. In addition, mode 3 dimensions must also match. If you are using the discrete wavelet transform, there is an additional requirement that the mode 3 dimension must be a of length 2n where n > 1 otherwise you must 0 pad the tensor in that dimension.

A <-t_rand(modes=c(3,4,2))
B <- t_rand(modes=c(4,5,2))
tmult(x=A,y=B,"dct")
#> $modes
#> [1] 3 5 2
#> 
#> $data
#> , , 1
#> 
#>            [,1]      [,2]       [,3]        [,4]     [,5]
#> [1,]  0.2533545 0.2214443 -1.0897240 -0.08169521 1.642567
#> [2,] -0.8347073 3.8361079  0.1250236 -1.74240867 2.142987
#> [3,] -0.8676881 2.3509886  1.0199506 -1.00435957 2.132258
#> 
#> , , 2
#> 
#>            [,1]        [,2]       [,3]        [,4]       [,5]
#> [1,] 0.09232156 -0.09237813  0.5712571 -0.05823035 -1.0965846
#> [2,] 3.08755504 -0.04129310 -3.9005433 -1.63937096 -0.3433381
#> [3,] 2.49229074 -0.12372157 -2.9080207 -0.74881194  2.9773661
#> 
#> 
#> attr(,"class")
#> [1] "Tensor3"

Tensor Inverse

The tensor inverse function (tINV) performs a discrete transformation down mode 3. Then, each of the frontal slices are inverted. Because the slices must be inverted, the mode 1 and mode 2 dimensions must be equal.

A <-  t_rand(modes=c(3,3,2))
Ainv = tINV(A,"dct")
tmult(A,Ainv,"dct") # the result is an identity tensor
#> $modes
#> [1] 3 3 2
#> 
#> $data
#> , , 1
#> 
#>               [,1]         [,2]          [,3]
#> [1,]  1.414214e+00 1.230771e-16 -2.998775e-16
#> [2,] -5.375156e-16 1.414214e+00  1.429647e-16
#> [3,] -2.638887e-17 3.218163e-17  1.414214e+00
#> 
#> , , 2
#> 
#>               [,1]          [,2]          [,3]
#> [1,]  0.000000e+00 -1.682945e-16  2.229665e-17
#> [2,]  3.155890e-16 -1.110223e-16 -5.177902e-16
#> [3,] -1.135698e-16 -1.478831e-16  2.220446e-16
#> 
#> 
#> attr(,"class")
#> [1] "Tensor3"

Tensor Transpose

The tensor transpose (t_tpose) performs a discrete transformation down mode 3. Then, each of the frontal slices are transposed.

A <-  t_rand(modes=c(3,5,2))
A
#> $modes
#> [1] 3 5 2
#> 
#> $data
#> , , 1
#> 
#>            [,1]        [,2]      [,3]        [,4]        [,5]
#> [1,] -1.9575119 -1.11439120 1.5002858  0.04093459 -1.37648651
#> [2,] -0.2692032  0.08462703 0.6113380 -1.58569467  0.48874204
#> [3,]  0.3387797  0.72395247 0.1847394 -0.03751616 -0.03913232
#> 
#> , , 2
#> 
#>            [,1]       [,2]      [,3]        [,4]       [,5]
#> [1,] -0.3094962 -0.9643119 -1.421368 -1.33585330 -1.7415439
#> [2,]  0.8547943 -0.3017661 -0.573449 -0.06010664  0.3076251
#> [3,] -0.7162473  0.3849704  0.387489  0.20114018  1.6568960
#> 
#> 
#> attr(,"class")
#> [1] "Tensor3"
t_tpose(A,"dct")
#> $modes
#> [1] 5 3 2
#> 
#> $data
#> , , 1
#> 
#>             [,1]        [,2]        [,3]
#> [1,] -1.95751190 -0.26920321  0.33877972
#> [2,] -1.11439120  0.08462703  0.72395247
#> [3,]  1.50028582  0.61133797  0.18473936
#> [4,]  0.04093459 -1.58569467 -0.03751616
#> [5,] -1.37648651  0.48874204 -0.03913232
#> 
#> , , 2
#> 
#>            [,1]        [,2]       [,3]
#> [1,] -0.3094962  0.85479431 -0.7162473
#> [2,] -0.9643119 -0.30176614  0.3849704
#> [3,] -1.4213684 -0.57344901  0.3874890
#> [4,] -1.3358533 -0.06010664  0.2011402
#> [5,] -1.7415439  0.30762512  1.6568960
#> 
#> 
#> attr(,"class")
#> [1] "Tensor3"

Eigenvalue Decomposition

The eigenvalue decomposition function (tEIG) performs an eigenvalue decomposition on a tensor whose dimensions are n × n × k using any discrete transform. The function returns 2 tenors, an n × n × k tensor of eigenvectors and a diagonal tensor of eigenvalues which is also n × n × k. Notice that if we multiply PDP−1 we obtain the original tensor.

A = t_rand(modes=c(3,3,2))
result = tEIG(A,"dst")
A$data-tmult(tmult(result$P,result$D,"dst"),tINV(result$P,"dst"),"dst")$data # zero tensor
#> , , 1
#> 
#>                             [,1]                        [,2]
#> [1,]  4.857226e-16+1.063964e-16i -4.440892e-16+1.480297e-16i
#> [2,]  1.165734e-15+0.000000e+00i -8.881784e-16+0.000000e+00i
#> [3,] -1.110223e-16-1.110223e-16i  1.887379e-15-1.110223e-16i
#>                             [,3]
#> [1,] -4.440892e-16+0.000000e+00i
#> [2,] -6.661338e-16-3.700743e-17i
#> [3,] -6.661338e-16+0.000000e+00i
#> 
#> , , 2
#> 
#>                            [,1]                        [,2]
#> [1,] 2.220446e-16-8.569031e-17i  1.110223e-15-2.957648e-16i
#> [2,] 1.332268e-15-9.223034e-17i -6.661338e-16-2.265009e-16i
#> [3,] 4.440892e-16-4.387905e-17i -4.440892e-16+5.639792e-17i
#>                             [,3]
#> [1,] -2.220446e-16+2.900967e-18i
#> [2,]  4.440892e-16+1.042126e-17i
#> [3,] -5.551115e-16+4.341579e-18i

LU Decomposition

The LU decomposition factors a 3-mode tensor into a lower triangular tensor and an upper triangular tensor.

Note: In order to perform this operation, the frontal slices need to be square.

A <- t_rand(modes=c(3,3,2))
result <- tLU(A,"dht")
A$data-tmult(result$L,result$U,"dht")$data
#> , , 1
#> 
#>               [,1]          [,2]          [,3]
#> [1,]  0.000000e+00  0.000000e+00 -1.110223e-16
#> [2,] -1.110223e-16 -5.551115e-17 -2.220446e-16
#> [3,]  5.551115e-17 -6.245005e-16 -1.221245e-15
#> 
#> , , 2
#> 
#>      [,1]         [,2]         [,3]
#> [1,]    0 1.387779e-17 0.000000e+00
#> [2,]    0 1.387779e-17 0.000000e+00
#> [3,]    0 3.330669e-16 1.665335e-15

QR Decomposition

The QR decomposition factors a 3-mode tensor into a left singular tensor object tensor and a right singular tensor object.

Note: In order to perform this operation, the frontal slices need to be square.

A <- t_rand(modes=c(3,3,2))
result <- tQR(A,"fft")
A$data-tmult(result$Q,result$R,"fft")$data
#> , , 1
#> 
#>              [,1]         [,2]         [,3]
#> [1,] 2.220446e-16 8.326673e-17 1.110223e-16
#> [2,] 1.110223e-16 1.110223e-16 1.110223e-16
#> [3,] 5.204170e-18 3.330669e-16 0.000000e+00
#> 
#> , , 2
#> 
#>              [,1]          [,2]         [,3]
#> [1,] 1.665335e-16 -2.220446e-16 5.551115e-17
#> [2,] 0.000000e+00 -2.220446e-16 0.000000e+00
#> [3,] 0.000000e+00 -4.440892e-16 0.000000e+00

Singular Value Decomposition

As an example, we use singular value decomposition (SVD) for image compression. By factoring a tensor $\cal{A}$ into orthogonal tensors $\cal{U},\cal{S}$ and $\cal{V}$ using the SVD, we can then truncate the tensor to the first k singular values and compare different transforms to the original image.

library(raster)
#> Loading required package: sp
library(grid)
data(raytrace)

tform = "dct"

A = raytrace$boat
wSVD = tSVD(A,tform)

k = 30 # number of singular values kept
U = wSVD$U
V = wSVD$V
S = wSVD$S
tV = t_tpose(V,tform)

Uk = t_rand(modes = c(128, k, 128))
Sk = t_rand(modes = c(k, k, 128))
Vk = t_rand(modes = c(k, 128, 128))

Uk = U$data[,1:k,]

Sk = S$data[1:k,1:k,]

Vk = tV$data[1:k,,]

Uk = as.Tensor(Uk)
Vk = as.Tensor(Vk)
Sk = as.Tensor(Sk)

X = tmult(Uk, Sk,tform)
X = tmult(X, Vk, tform)

# See how close the compressed image is to the original image
fnorm(X$data-A$data)
#> [1] 15.9201

# feature scale
if (tform=="fft"){
  Xnew=Re(X$data)
} else {
  Xnew = X$data
}
Xnew = X$data
newX = (Xnew-min(Xnew))/(max(Xnew)-min(Xnew))

# View Images

# Compressed image
library(raster)
library(grid)
data(raytrace)

tform = "dct"

A = raytrace$boat
wSVD = tSVD(A,tform)

k = 30 # number of singular values kept
U = wSVD$U
V = wSVD$V
S = wSVD$S
tV = t_tpose(V,tform)

Uk = t_rand(modes = c(128, k, 128))
Sk = t_rand(modes = c(k, k, 128))
Vk = t_rand(modes = c(k, 128, 128))

Uk = U$data[,1:k,]

Sk = S$data[1:k,1:k,]

Vk = tV$data[1:k,,]

Uk = as.Tensor(Uk)
Vk = as.Tensor(Vk)
Sk = as.Tensor(Sk)

X = tmult(Uk, Sk,tform)
X = tmult(X, Vk, tform)

# See how close the compressed image is to the original image
fnorm(X$data-A$data)
#> [1] 15.9201

# feature scale
if (tform=="fft"){
  Xnew=Re(X$data)
} else {
  Xnew = X$data
}
Xnew = X$data
newX = (Xnew-min(Xnew))/(max(Xnew)-min(Xnew))

# View Images

# Compressed image
grid.raster(newX[,45,])

# Original Image
grid.raster(raytrace$boat$data[,45,])

Linear Discriminate Analysis

The $\tt{tLDA(\cA,nClass,nSamplesPerClass,\texttt{"tform"})}$ function performs tensor linear discriminate analysis on a 3-mode tensor. The function assumes that the classes are sorted.

For illustration purposes, we use a subset of the MNIST handwritten digits provided with the TensorTools package.

data(Mnist)
T <- Mnist$train$images

We sort the digits based on the labels.

myorder <- order(Mnist$train$labels)
T_sorted <- T$data[,myorder,]

Using a small subset, for illustration purposes, we perform tLDA.

T <- T_sorted[,c(1:2,1001:1002,2001:2002,3001:3002,4001:4002,5001:5002,6001:6002,7001:7002,8001:8002,9001:9002),]
tLDA(as.Tensor(T),10,2,"dct")
#> $modes
#> [1] 28  9 28
#> 
#> $data
#> , , 1
#> 
#>              [,1]         [,2]        [,3]         [,4]         [,5]
#>  [1,]  0.12272195 -0.395572719  0.61972638  0.720950181 -0.019428021
#>  [2,]  0.01878684  0.043279945 -0.34606866 -0.514249068  0.271375273
#>  [3,]  0.18494652 -0.256118296 -0.30286542 -0.272182698  0.331767546
#>  [4,] -0.04275312 -0.058278092  0.14572301  0.116555358 -0.173564432
#>  [5,] -0.47399183  0.342008983 -0.01938374 -0.145457060 -0.037101421
#>  [6,]  0.65256058 -0.405642161  0.03543964  0.203541640 -0.219184049
#>  [7,] -0.27821616  0.465847849  0.04726328  0.053624782  0.179846180
#>  [8,]  0.13756111 -0.385358476  0.09822100  0.038352204  0.019199299
#>  [9,] -0.20636945  0.081149271  0.01830344 -0.049260444 -0.067063515
#> [10,] -0.18413386 -0.001736094 -0.08589441  0.049673742 -0.038427858
#> [11,] -0.02962857 -0.142520338  0.18040336 -0.035626442 -0.026288169
#> [12,]  0.12492466  0.026298059  0.13197559  0.088478264 -0.041044539
#> [13,] -0.07119913  0.064725793 -0.01139368  0.136183488 -0.108808928
#> [14,] -0.31574510  0.156872446 -0.15913437 -0.122169632 -0.133142212
#> [15,]  0.17759257  0.045374521 -0.01000768  0.073876265  0.123535120
#> [16,] -0.10881974 -0.013994545 -0.02087393 -0.159697034 -0.002396189
#> [17,]  0.18142781 -0.170547794  0.08681037 -0.130319383 -0.107149323
#> [18,]  0.04427764  0.167935759 -0.21137619 -0.082338614 -0.065565572
#> [19,] -0.05459907 -0.116532953  0.12801814  0.103690448 -0.010514825
#> [20,]  0.10339646  0.016133176  0.06750463  0.082995948  0.031137321
#> [21,] -0.04592470  0.258634505 -0.01079660 -0.157927622 -0.056648247
#> [22,] -0.02234147 -0.291158545 -0.04794815  0.007830591  0.320581371
#> [23,]  0.35450272  0.214656255  0.04447090  0.172474407  0.210644098
#> [24,]  0.05680040  0.197630118 -0.15381838 -0.065855899  0.061276401
#> [25,]  0.03094559 -0.200944970  0.04436599 -0.384358387  0.006798948
#> [26,] -0.07597794  0.122866335  0.25084176 -0.219813158 -0.043026808
#> [27,]  0.20260775 -0.289421126 -0.03829325 -0.047235698 -0.086678382
#> [28,] -0.23977414  0.056236511  0.34344647 -0.722892052 -0.188647494
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,] -0.158569298  0.187026832 -0.155450579 -0.340154326
#>  [2,]  0.160923838 -0.385564193 -0.153949259 -0.368891987
#>  [3,] -0.134118184  0.487214683  0.164435249 -0.269499098
#>  [4,] -0.005663188  0.137623267 -0.027641451 -0.258364118
#>  [5,]  0.128516199  0.121278749  0.015664212  0.086017890
#>  [6,] -0.237478627 -0.014818313  0.184350257 -0.424820100
#>  [7,] -0.025779067  0.119671127 -0.035518634 -0.280734176
#>  [8,]  0.197369246  0.029791067  0.037045468 -0.043632021
#>  [9,] -0.139465259 -0.192472934 -0.134215345 -0.026830339
#> [10,] -0.037491433 -0.006885577 -0.004932062 -0.023856797
#> [11,]  0.047739640  0.039762009  0.049024111  0.042265594
#> [12,] -0.110708563 -0.025191573 -0.005816768  0.009834742
#> [13,] -0.023099737  0.107910251  0.053710780  0.091732481
#> [14,]  0.050877909  0.072865076 -0.034633226 -0.026131788
#> [15,]  0.072717659 -0.013109617 -0.077147706 -0.024990149
#> [16,]  0.028899633  0.044839453  0.037780532 -0.024834575
#> [17,]  0.050405336  0.011392809 -0.005109142 -0.013569477
#> [18,] -0.044909671  0.082513012  0.094329228  0.015334426
#> [19,] -0.039265078 -0.116521299  0.025044534  0.025932978
#> [20,] -0.125259797  0.076584031  0.123072188 -0.012834166
#> [21,]  0.060502271  0.090767772 -0.002855372  0.035865292
#> [22,]  0.125427420  0.125042842 -0.020499992 -0.021974114
#> [23,] -0.052230078  0.012312377 -0.089609947 -0.043075941
#> [24,]  0.151326775  0.014880293  0.180397054  0.048159577
#> [25,]  0.040504408 -0.143464224 -0.066308275  0.148156670
#> [26,] -0.184077145 -0.162397170 -0.070497973  0.205305441
#> [27,] -0.308385703 -0.404727996 -0.712862093 -0.533148204
#> [28,] -0.403347502 -0.048758107  0.569923351  1.102197470
#> 
#> , , 2
#> 
#>                [,1]         [,2]        [,3]        [,4]          [,5]
#>  [1,]  2.665689e-01  0.085951017  0.50677054  0.45873890  1.385594e-01
#>  [2,] -2.804147e-02  0.141884731  0.06582896 -0.15994495 -3.377892e-01
#>  [3,] -1.104093e-01 -0.147652990 -0.32941873 -0.47816642  2.108311e-01
#>  [4,] -2.971399e-01  0.129132264  0.11888523  0.37177757  3.076869e-01
#>  [5,] -2.596707e-02  0.282026705 -0.06045455 -0.13130552 -3.832125e-02
#>  [6,] -3.521989e-01 -0.295420847  0.33259210  0.67925776 -3.287549e-01
#>  [7,]  1.251060e-02 -0.154650978 -0.11885793  0.17006515  1.062247e-01
#>  [8,] -1.133989e-01 -0.267995689 -0.11915468 -0.13860276 -2.365602e-02
#>  [9,] -1.963882e-01  0.041971066 -0.12302623 -0.04881904  7.008605e-04
#> [10,]  4.673316e-02 -0.254119670 -0.09984613 -0.12301860 -9.835730e-03
#> [11,] -1.768885e-01 -0.074888721 -0.07476475  0.06313437  1.424859e-01
#> [12,] -7.424515e-02  0.241336832  0.06228775  0.01172136 -5.500335e-02
#> [13,]  8.490326e-05 -0.062020837 -0.09464664  0.04942508 -4.099643e-02
#> [14,] -1.100569e-01  0.156663110  0.01646825  0.05124016 -7.206755e-02
#> [15,]  1.280417e-01  0.119137193  0.16396131  0.06486925  8.092843e-03
#> [16,]  2.563188e-02 -0.206139012 -0.11452623 -0.07925056 -8.165567e-02
#> [17,] -1.805940e-01  0.037329588 -0.06788695  0.11544928  9.643924e-02
#> [18,]  1.311396e-01  0.125187185 -0.02929234 -0.07223216 -3.288720e-02
#> [19,]  7.117994e-02 -0.003489005 -0.11657653 -0.08337996  4.436396e-02
#> [20,]  1.781666e-01  0.058908271  0.06563343  0.08335828  2.353073e-05
#> [21,]  8.358805e-03  0.091168948 -0.14854152 -0.13925048 -1.638742e-01
#> [22,] -4.169861e-01 -0.141654374 -0.13800874  0.19819792 -1.853401e-01
#> [23,] -1.088380e-02  0.064451533  0.19643207 -0.03520099  2.725657e-01
#> [24,] -3.404047e-01  0.076808343 -0.04349783 -0.05468657  4.371586e-02
#> [25,] -1.473080e-01  0.239549859  0.19082117  0.50853756  6.790079e-02
#> [26,]  1.844325e-01 -0.306621310 -0.20629690 -0.22558548 -4.730605e-02
#> [27,] -8.370809e-02  0.410915190  0.12193252 -0.21689637  2.186092e-01
#> [28,]  5.877419e-03 -0.127819206  0.16463932  0.12647016 -4.204501e-02
#>               [,6]         [,7]         [,8]          [,9]
#>  [1,] -0.656597329 -0.193581143 -0.164538864 -0.1232048568
#>  [2,]  0.092262839 -0.056693694  0.040706456  0.2405072987
#>  [3,]  0.237171423  0.458358070  0.251485591  0.0055566214
#>  [4,]  0.115340035  0.069536034 -0.013042187  0.0560514703
#>  [5,] -0.131056229 -0.061009956 -0.023369133 -0.0389366565
#>  [6,] -0.046689381  0.001793989  0.018254950  0.2890667054
#>  [7,]  0.069813960  0.026267853  0.326476340 -0.1457642229
#>  [8,]  0.096881564  0.100427087 -0.073376264  0.0256632529
#>  [9,]  0.055142461  0.136920160  0.106306211  0.0223040821
#> [10,]  0.044039106 -0.088345977 -0.117377915 -0.0259313225
#> [11,]  0.014474581 -0.051718728 -0.019013322 -0.0479852147
#> [12,]  0.005819433  0.058750205  0.041867478 -0.0120925290
#> [13,] -0.066720643 -0.179173243 -0.181394595 -0.0868337099
#> [14,] -0.175891063  0.007860500  0.210956661  0.0707778870
#> [15,] -0.018148948 -0.113293657 -0.065066900  0.0670072303
#> [16,]  0.042640322  0.021613444 -0.001082792 -0.0319546238
#> [17,] -0.144447428 -0.082290443  0.029822693 -0.0118092940
#> [18,] -0.044577009 -0.148070367 -0.036978943 -0.1243721000
#> [19,]  0.031451454  0.098333296 -0.006896562 -0.0459517956
#> [20,] -0.006941623 -0.008116397 -0.103718255  0.0002282484
#> [21,] -0.260490985 -0.218615085 -0.001096994 -0.0503225982
#> [22,] -0.087975786  0.003300148  0.130457701  0.1262342037
#> [23,]  0.262492906  0.035260869  0.050863508  0.0621834269
#> [24,] -0.007999311  0.026704226 -0.067779320  0.0835228753
#> [25,] -0.038156402  0.274377742  0.195029334 -0.0596968948
#> [26,] -0.042950908 -0.225138434 -0.095077043 -0.0020906286
#> [27,]  0.212876214  0.037662368 -0.451555927  0.1444420376
#> [28,]  0.026315056  0.234126609  0.284500924  0.2900298006
#> 
#> , , 3
#> 
#>              [,1]         [,2]         [,3]         [,4]        [,5]
#>  [1,]  0.19984667 -0.013182910 -0.063844369  0.252273320 -0.11980397
#>  [2,] -0.11429725  0.141219554 -0.114993849 -0.189782848 -0.22208860
#>  [3,] -0.08127158 -0.068376179 -0.187501542 -0.074009685 -0.02338783
#>  [4,] -0.18581817 -0.130745993  0.201352033 -0.105027952 -0.13988484
#>  [5,] -0.34597664  0.096774700 -0.026382257  0.081422970  0.25848301
#>  [6,] -0.03331336  0.345240307  0.192824022  0.063353504 -0.32485945
#>  [7,] -0.01719804 -0.295468730 -0.172959355  0.265936796  0.19783209
#>  [8,] -0.05914853  0.171539521 -0.242081274 -0.054940006 -0.07147022
#>  [9,]  0.08783520  0.194747981  0.143832927  0.083131823  0.08506492
#> [10,]  0.27698394  0.067299443  0.129760438 -0.038792327  0.12453260
#> [11,] -0.05858285  0.087916889 -0.158710183 -0.107279520 -0.03191085
#> [12,]  0.11146747  0.121720442  0.153510260  0.225893156  0.03056230
#> [13,] -0.09181542 -0.031652137  0.048774081 -0.232372578 -0.03991173
#> [14,]  0.06699781 -0.184392762 -0.022543002  0.186796553 -0.09502341
#> [15,] -0.01625984 -0.220229731  0.018881067 -0.005621854 -0.12360468
#> [16,] -0.01355748  0.203875706  0.156233733  0.187309711  0.04363827
#> [17,] -0.04747530  0.199182795  0.122460216 -0.028197561 -0.04307250
#> [18,] -0.08444363 -0.082640242  0.238881508  0.024140196  0.07023840
#> [19,] -0.02248467 -0.012620340 -0.160061749 -0.104773637 -0.01135574
#> [20,] -0.23760650  0.175197814  0.286960350  0.032086660 -0.04765255
#> [21,] -0.07520185 -0.237792245 -0.164691968  0.028656660  0.12171196
#> [22,] -0.01410465  0.014489817  0.065279181  0.011617113 -0.12981284
#> [23,]  0.21324094  0.074536582  0.006838277  0.073546169  0.01116840
#> [24,] -0.21429090  0.218977300 -0.196612271 -0.285599746 -0.05237714
#> [25,] -0.16260100  0.055239446 -0.206182897 -0.126813173  0.03206868
#> [26,]  0.16790537 -0.370025386 -0.339697648  0.016051472  0.08374263
#> [27,] -0.16454754  0.006814812 -0.375775211 -0.103733442 -0.07099493
#> [28,]  0.05453122  0.268913640  0.237689316  0.536336829  0.19415491
#>              [,6]         [,7]         [,8]          [,9]
#>  [1,] -0.51841511 -0.245837693  0.254753572  1.550856e-01
#>  [2,]  0.12717613  0.163046248 -0.606550834 -2.679142e-01
#>  [3,]  0.02582435  0.615607456  0.349973849  1.283913e-01
#>  [4,] -0.21521846 -0.012757656  0.174379594  6.887012e-02
#>  [5,]  0.47911249  0.409717774  0.024936286 -1.640365e-01
#>  [6,]  0.02686625 -0.099127146 -0.149472848  1.268584e-01
#>  [7,]  0.29781204  0.206174273  0.209274260  5.124893e-02
#>  [8,] -0.08101130 -0.100241108 -0.054704613 -2.240561e-02
#>  [9,]  0.18428610  0.212239765  0.219315123  9.818073e-02
#> [10,]  0.01721453 -0.010952566 -0.005920803  8.645851e-02
#> [11,]  0.04035899  0.058171511  0.040777118 -2.962131e-02
#> [12,]  0.02211623  0.067707617 -0.021630588 -8.595716e-03
#> [13,] -0.09392815  0.026872130  0.005976387 -1.064081e-02
#> [14,]  0.03353359  0.007042955 -0.084050780 -1.513987e-02
#> [15,] -0.21494190  0.014671813  0.119964538 -7.113683e-02
#> [16,]  0.17554979 -0.040705918  0.027578840  1.626692e-02
#> [17,] -0.12020330  0.062535043 -0.009718243  2.820166e-02
#> [18,]  0.07374408  0.034130900 -0.011447929  3.723805e-02
#> [19,]  0.01529680  0.059002860  0.034864209  1.912543e-02
#> [20,]  0.01369353  0.021862429  0.022170816 -2.590032e-05
#> [21,]  0.05819541 -0.054147401 -0.137513737 -8.016796e-02
#> [22,]  0.05723719  0.192658942  0.150404527  2.001799e-02
#> [23,] -0.05223717 -0.166591905 -0.106739222  1.394855e-03
#> [24,]  0.10108982  0.001851460 -0.084890222  4.317341e-03
#> [25,] -0.15945397 -0.157966525 -0.074975346  4.609386e-02
#> [26,] -0.15626463 -0.226764854 -0.048828340  1.085417e-03
#> [27,] -0.20312527 -0.240837406 -0.132249827 -6.741534e-02
#> [28,] -0.20556645 -0.524589598  0.352493946 -4.257675e-01
#> 
#> , , 4
#> 
#>              [,1]         [,2]          [,3]         [,4]         [,5]
#>  [1,]  0.29198153  0.083659774 -0.0143367120 -0.284474754  0.079628609
#>  [2,] -0.04643093  0.387404958  0.3257149337 -0.081537628 -0.221964081
#>  [3,]  0.05683376 -0.401603850 -0.1323900665  0.151551612 -0.334736580
#>  [4,]  0.22407536 -0.020526915 -0.0048623202 -0.236938256 -0.129425997
#>  [5,] -0.19730289  0.147809749 -0.0785431799 -0.063516563  0.012186472
#>  [6,] -0.09667245 -0.029137930 -0.1820204843  0.032540178 -0.055003247
#>  [7,]  0.17083574  0.020045849  0.1986307517  0.119586864  0.239278695
#>  [8,] -0.03258178  0.070430680 -0.1313420870  0.044341199  0.089617402
#>  [9,] -0.34659010 -0.158612705 -0.1055985744 -0.074943288 -0.125418966
#> [10,]  0.14147317  0.014799491  0.0837308960  0.084257024 -0.048416843
#> [11,] -0.18240831 -0.086435702 -0.1913984098 -0.052382599 -0.116821424
#> [12,]  0.01257839 -0.011327382  0.2601662690 -0.016597784  0.032844407
#> [13,]  0.03659184  0.180931760  0.0845514114  0.157797025  0.004210091
#> [14,] -0.08972976 -0.127078776 -0.0800408770 -0.207516875 -0.164855095
#> [15,]  0.26490975  0.126676024  0.2881684891  0.083146084  0.081363767
#> [16,] -0.33068648 -0.031047005 -0.2225053014 -0.036131834 -0.042993790
#> [17,] -0.01116913 -0.112173819 -0.2033408573 -0.116365768  0.037077177
#> [18,]  0.03312088 -0.208752218  0.0204190755 -0.009128858  0.057591340
#> [19,]  0.03598993  0.021748675  0.0984891955  0.115281336  0.024658177
#> [20,] -0.25767275  0.001931465 -0.1248940526  0.126851785 -0.003527012
#> [21,]  0.01012405  0.211060621 -0.1023372574 -0.292096008 -0.232587094
#> [22,] -0.02652626 -0.274763408 -0.0006481372  0.029295777  0.108712003
#> [23,]  0.04743143 -0.097675225 -0.0639963771  0.186030274  0.169898351
#> [24,] -0.20200009 -0.053765347 -0.1559298717 -0.198588621 -0.396798121
#> [25,]  0.46096857  0.150318203 -0.1432418148 -0.140397388 -0.187514500
#> [26,] -0.34661001  0.254028172 -0.1948117145  0.113989250  0.071120310
#> [27,] -0.13189582 -0.038297756 -0.3479852039 -0.223208534 -0.587758926
#> [28,]  0.13324624  0.081823080 -0.4058446052  0.113785992  0.530210200
#>               [,6]        [,7]         [,8]         [,9]
#>  [1,] -0.024836468 -0.30234647  0.025116851 -0.634699741
#>  [2,] -0.164234993  0.17203805 -0.096191727 -0.349846734
#>  [3,] -0.258078101 -0.26749803 -0.098383837 -0.060133027
#>  [4,] -0.167123301 -0.36709448 -0.066227120  0.110427981
#>  [5,] -0.151072972  0.03877877  0.249254718  0.067642316
#>  [6,] -0.138834009  0.05967747 -0.027953458 -0.170113968
#>  [7,]  0.158700762  0.03433377  0.088655991  0.412977680
#>  [8,]  0.116470450  0.01949779 -0.105413581 -0.082571348
#>  [9,] -0.129686088 -0.19099165 -0.054695312 -0.001676678
#> [10,]  0.083122364  0.10623671  0.085658457  0.034093998
#> [11,] -0.068919426 -0.03201712  0.060778637  0.065340117
#> [12,] -0.046977690  0.02159765  0.057869839 -0.120220858
#> [13,] -0.018009377 -0.05160276 -0.030997999  0.056320701
#> [14,] -0.053526026 -0.11180751  0.040711001  0.077789449
#> [15,] -0.001488869 -0.06740253 -0.097342581  0.019255080
#> [16,]  0.005957514  0.07759850  0.056623120  0.049811013
#> [17,]  0.010987443 -0.03184523  0.004759454 -0.046954959
#> [18,] -0.011758379  0.01918586 -0.101222843 -0.001304730
#> [19,] -0.007134779  0.01413170  0.028105695  0.031470936
#> [20,] -0.005754951  0.07449213 -0.105435989 -0.109419359
#> [21,] -0.108164729  0.02111988  0.099697510  0.007403235
#> [22,]  0.069105189  0.10241053 -0.120976474 -0.056867006
#> [23,] -0.142585364 -0.08398106  0.343487652 -0.121772825
#> [24,] -0.328430701 -0.02504759 -0.179282594 -0.002803921
#> [25,] -0.025792979 -0.11735275  0.055974504 -0.074059103
#> [26,] -0.169684946  0.26430958  0.085581546  0.053516980
#> [27,] -0.467857385 -0.32804840 -0.017530683 -0.369613224
#> [28,]  0.163770388 -0.07305494 -0.008070987 -0.134711916
#> 
#> , , 5
#> 
#>                [,1]         [,2]         [,3]         [,4]          [,5]
#>  [1,] -0.4374759010 -0.050157280 -0.202541845 -0.147041191  0.1970677984
#>  [2,]  0.1036075688 -0.185235189  0.130065346  0.082035443 -0.1341202148
#>  [3,]  0.0076477919  0.167848102  0.357939915  0.460756219 -0.0956098267
#>  [4,] -0.1736437508  0.456661532  0.131371425  0.117070371  0.1013034945
#>  [5,] -0.2697207040  0.247249876  0.215446785  0.152595406  0.0896856693
#>  [6,]  0.1651635248 -0.137720063 -0.115656365 -0.135392266 -0.0551795207
#>  [7,] -0.3604474564 -0.625618447 -0.143778003  0.135653609  0.1732060944
#>  [8,]  0.0544984425 -0.088981172  0.192671956 -0.022199326 -0.0478271009
#>  [9,] -0.1080802397  0.318534224  0.080625034  0.136870334  0.1441470660
#> [10,]  0.0007757583 -0.176223011  0.189917694  0.166757304 -0.0630510460
#> [11,] -0.3302322766  0.204032297  0.052322698 -0.009810088  0.1502390128
#> [12,]  0.2495022819 -0.198270575 -0.081340320  0.161236894  0.0149061667
#> [13,] -0.0505321847  0.017462949 -0.014365808 -0.140268871 -0.2879375981
#> [14,] -0.1095620310  0.048763272 -0.240555002 -0.042509946  0.0003847636
#> [15,]  0.2307844362  0.018266214 -0.164595625  0.018798310  0.0206717876
#> [16,] -0.0905644901 -0.004685474  0.079187281 -0.073585503  0.0606655216
#> [17,]  0.1104128141  0.158422302 -0.049426666 -0.093427302 -0.0534749885
#> [18,]  0.1349732433  0.027094468 -0.010135877 -0.091310302  0.0171767865
#> [19,] -0.0836099530 -0.084554202  0.157446523  0.083483253  0.0248677721
#> [20,]  0.2113846402  0.013524290  0.022824427 -0.166910342 -0.0209534515
#> [21,] -0.2322223290  0.209485762 -0.129730640  0.133520068  0.1380664746
#> [22,]  0.2057205537 -0.124125454  0.059090672  0.157375509  0.2797097632
#> [23,]  0.0652571882 -0.158331348  0.057975014 -0.327861137  0.1657894909
#> [24,]  0.2295656140 -0.132562458  0.001483514  0.081666859  0.1924230935
#> [25,]  0.0051658719 -0.099228588  0.154797175  0.211197750  0.1957695701
#> [26,]  0.0862540817  0.178231465  0.060557671 -0.113504144 -0.0484721949
#> [27,] -0.2894850208  0.126424404  0.132443640  0.066559742  0.0391278234
#> [28,] -0.0618691580  0.312699521 -0.094078418 -0.191690727  0.3115968730
#>               [,6]        [,7]         [,8]         [,9]
#>  [1,]  0.007172065 -0.28362467 -0.307546520 -0.442508678
#>  [2,] -0.364019221  0.25751845  0.476308960 -0.184613506
#>  [3,] -0.398497547 -0.34458272  0.145467125 -0.098791048
#>  [4,]  0.073327681  0.29377745  0.079620267 -0.356219499
#>  [5,]  0.200161859  0.02990347 -0.133031022 -0.016892117
#>  [6,]  0.022162768 -0.07859737  0.061275014  0.146780699
#>  [7,]  0.006864152 -0.10801933 -0.024064972  0.007213463
#>  [8,]  0.100013613  0.07114273  0.107193475  0.167449029
#>  [9,] -0.121571543 -0.05792593  0.065508854  0.021382565
#> [10,] -0.087866091 -0.10701387 -0.052216805 -0.018132249
#> [11,] -0.106751739  0.03444087 -0.049905884 -0.112832599
#> [12,]  0.076990343  0.05083972  0.042907288  0.085993263
#> [13,] -0.012124574  0.06671198  0.028000357  0.077762012
#> [14,] -0.087839888 -0.08510502 -0.073838489 -0.039840013
#> [15,]  0.037107094  0.04564598 -0.112181706 -0.043923795
#> [16,] -0.014612337  0.08560770  0.105426012  0.048182220
#> [17,]  0.080434969  0.09494189  0.006364480  0.065556383
#> [18,] -0.015823176 -0.04549530 -0.029477128  0.087070246
#> [19,]  0.004771731 -0.03860509  0.040530243 -0.001690429
#> [20,] -0.134973744 -0.07715130  0.019503060 -0.037464095
#> [21,]  0.103299739  0.11456381 -0.070202081 -0.073492325
#> [22,]  0.166884707  0.07546946  0.041936027 -0.012514075
#> [23,] -0.085783402  0.09154633 -0.214827384 -0.126565607
#> [24,]  0.220641217  0.06726018  0.008910307  0.006175697
#> [25,]  0.256064282  0.14604153 -0.130823632 -0.064080613
#> [26,] -0.093350568  0.05627681 -0.035157525  0.246911381
#> [27,] -0.324236758 -0.37256995  0.026163729 -0.146768144
#> [28,]  0.280588504  0.41003928  0.622915669  0.178452214
#> 
#> , , 6
#> 
#>                [,1]         [,2]          [,3]         [,4]         [,5]
#>  [1,]  1.084029e-01  0.266070951  0.0956464651 -0.013676346  0.225371161
#>  [2,] -1.415246e-02  0.148415321  0.2460433558  0.091983862 -0.133443877
#>  [3,] -1.254644e-01  0.093689190  0.5217661937  0.332548337 -0.239956083
#>  [4,] -2.826096e-01 -0.069777345 -0.1729763510 -0.042491792 -0.132665011
#>  [5,]  8.531303e-02 -0.002348170 -0.0919378797 -0.096274163  0.059793485
#>  [6,]  1.655861e-01  0.020569611  0.0442003439  0.327033967  0.286605504
#>  [7,]  4.812351e-02 -0.200996897 -0.0430807351  0.029914159  0.086909237
#>  [8,]  2.054940e-01 -0.071961857  0.1084355621  0.082866465 -0.041362236
#>  [9,] -1.433178e-01  0.109168023 -0.0592316574 -0.134840104  0.008208761
#> [10,]  2.594342e-01  0.230088522 -0.1196674592 -0.254762878 -0.129394980
#> [11,] -1.871135e-01  0.119057307  0.1534493915  0.001449687  0.052120940
#> [12,]  1.461616e-01 -0.001182336  0.1044373731 -0.079638741 -0.026258746
#> [13,] -2.544459e-02  0.095949347 -0.0424031233  0.147118930  0.156137268
#> [14,] -6.913290e-02  0.174098688 -0.1120289679  0.141251769 -0.098467710
#> [15,] -7.047480e-02 -0.193456302  0.0475148839  0.015406010 -0.017476058
#> [16,] -4.090692e-04  0.079811159  0.0982993180  0.027410889 -0.081507236
#> [17,] -7.913605e-02  0.037047981  0.1872735212  0.043315747 -0.026091734
#> [18,]  2.185191e-02 -0.113698004 -0.2787659461 -0.072256650 -0.062559278
#> [19,]  1.269240e-01  0.044493636 -0.0428123976 -0.047800697  0.042071432
#> [20,] -1.112259e-01 -0.195741139 -0.0405615149  0.072279200  0.113348990
#> [21,] -9.126327e-02  0.068575036  0.1283146733 -0.090313709 -0.029428845
#> [22,] -8.998548e-02 -0.081914648 -0.2433430054  0.055272200 -0.171476959
#> [23,]  8.346794e-02 -0.146159796 -0.1464448455 -0.066908931  0.046367803
#> [24,]  1.089313e-01 -0.053884648 -0.0695085255  0.140416393  0.130842622
#> [25,] -7.404168e-02 -0.220665041  0.0009737581 -0.124111211  0.095226593
#> [26,]  8.009663e-05  0.035805896  0.1699419806 -0.080160418 -0.120314732
#> [27,]  1.900077e-01  0.337558922  0.1127742632 -0.067988820  0.056167779
#> [28,] -2.095601e-01  0.024432233  0.6908367843 -0.315031247 -0.219565260
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.023114322 -0.145637760 -0.028573686  0.266342231
#>  [2,] -0.190550575  0.098950831 -0.117170594  0.195865655
#>  [3,] -0.383709773 -0.869984988 -0.145015724 -0.299299581
#>  [4,] -0.082338688  0.154938319  0.067013512  0.084090305
#>  [5,]  0.127158608  0.189587658  0.120653034 -0.020816601
#>  [6,]  0.371975639 -0.063367872 -0.245509946 -0.078131867
#>  [7,] -0.133524760 -0.020741477 -0.029012195  0.404664531
#>  [8,]  0.066940884  0.057874789  0.168202135 -0.227964206
#>  [9,]  0.090670646  0.219789345  0.047421289  0.032701217
#> [10,] -0.097207800 -0.027012522 -0.007533389  0.042891750
#> [11,]  0.139127290  0.087729830  0.011053986  0.044998596
#> [12,]  0.001740692 -0.007084868  0.029624514  0.092120396
#> [13,]  0.013220140  0.010576225 -0.063069546  0.024632313
#> [14,] -0.097073489  0.031405817 -0.071515376 -0.111844028
#> [15,]  0.025766011  0.072731662  0.087021718 -0.055239140
#> [16,] -0.058816280 -0.093117180 -0.085333658  0.044849347
#> [17,] -0.028852407 -0.005264276  0.002889322 -0.080666787
#> [18,]  0.088308118  0.024127951  0.010110177 -0.068745176
#> [19,]  0.009028578 -0.008304386 -0.111087231 -0.041033971
#> [20,]  0.115936069 -0.031353940  0.114754178  0.034586650
#> [21,]  0.051364535  0.021969998 -0.039690057  0.063160376
#> [22,] -0.217552026 -0.061372559 -0.087175974  0.039151382
#> [23,]  0.215947685 -0.268748492 -0.316695437  0.023000797
#> [24,]  0.128029975  0.026945221  0.281403135  0.001009445
#> [25,] -0.072788917 -0.041994910  0.171725278  0.088726456
#> [26,] -0.087046986 -0.082834190  0.108362049 -0.185188353
#> [27,]  0.180298950 -0.147664059 -0.042915328  0.162885581
#> [28,] -0.463273962 -0.008986107 -0.114182192  0.527689741
#> 
#> , , 7
#> 
#>               [,1]        [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.265970372 -0.40592565 -0.336760661 -0.251926216  0.314057749
#>  [2,]  0.271815828  0.04398423  0.185747206  0.114920192 -0.244849248
#>  [3,] -0.014249890  0.15883876 -0.081882549 -0.059873173 -0.604083027
#>  [4,] -0.084521987 -0.14410447  0.102201957  0.098026385  0.280105251
#>  [5,]  0.133651035  0.26435278  0.115216672 -0.104443403  0.138829327
#>  [6,]  0.248866624 -0.09544095 -0.421524710 -0.114911694 -0.231640922
#>  [7,] -0.163386346 -0.23267100  0.009628521  0.025467841 -0.040834077
#>  [8,] -0.259563520 -0.03046764  0.041302140  0.002157312  0.097148529
#>  [9,]  0.072242595  0.14510136 -0.156825414 -0.181046946 -0.152184466
#> [10,] -0.321541127 -0.10509955 -0.161254166  0.142432415  0.110825474
#> [11,]  0.069397348  0.09508840 -0.063026874 -0.183000103 -0.073760007
#> [12,] -0.060579304 -0.20793695 -0.127867887  0.004232182  0.002189774
#> [13,] -0.073869454 -0.02802401  0.016120160  0.138668260  0.171632587
#> [14,] -0.101577663  0.20428476  0.319806924  0.038771661 -0.015099570
#> [15,]  0.095734776  0.03853400 -0.098147558 -0.023412882 -0.015892106
#> [16,] -0.021290507  0.08974798  0.072396885 -0.027085481 -0.121672611
#> [17,] -0.247982417  0.05642353 -0.018894519 -0.011001361  0.063090109
#> [18,]  0.186608997  0.06263787  0.217446653  0.222281195  0.101509660
#> [19,]  0.054201152 -0.10971492 -0.115660346 -0.144637018 -0.109665758
#> [20,] -0.001694858  0.33938030  0.275173518  0.254006401 -0.059314462
#> [21,] -0.001201561 -0.18419589  0.062131276  0.048076656  0.090942700
#> [22,]  0.287026765  0.16831170  0.296900193  0.238757623  0.049552153
#> [23,] -0.142985968 -0.14608639  0.202593597  0.063877210 -0.427084474
#> [24,]  0.253509352  0.20471586  0.195890380  0.157794812 -0.048256269
#> [25,] -0.309036310 -0.01265441  0.260108857 -0.143533726 -0.279944445
#> [26,] -0.238522186  0.25887880  0.099078166 -0.353998180  0.080278007
#> [27,]  0.003805491 -0.13438040 -0.120317681 -0.283652363 -0.350256945
#> [28,] -0.293582601  0.05164055  0.682298769  0.229849610  0.167497958
#>               [,6]         [,7]        [,8]         [,9]
#>  [1,]  0.454230888  0.097576970 -0.10006589  0.240768244
#>  [2,] -0.030110445 -0.347234349 -0.17987083 -0.027908049
#>  [3,] -0.509175881 -0.268821598  0.03205028 -0.709469268
#>  [4,]  0.090433606  0.148110837  0.07530964 -0.150276187
#>  [5,]  0.067382779  0.034186854  0.01496758 -0.212957968
#>  [6,] -0.268063394 -0.094493376  0.16370258 -0.096284974
#>  [7,]  0.430644478  0.304509180  0.12478533  0.285142159
#>  [8,]  0.029514192  0.001764230 -0.11081014  0.120464145
#>  [9,] -0.011295133 -0.159386342 -0.12427614  0.007940128
#> [10,]  0.004494589  0.036408886  0.00390127  0.011859214
#> [11,]  0.063629115 -0.049463360 -0.11299692 -0.061635337
#> [12,] -0.073283463  0.012851229  0.06728911 -0.047281710
#> [13,] -0.050037752  0.006375768  0.09644773 -0.084914889
#> [14,]  0.054820398 -0.149794889 -0.09994616  0.068815655
#> [15,] -0.154722427 -0.056994213 -0.06110353  0.066227598
#> [16,]  0.083030308 -0.033383783 -0.02056868  0.086141447
#> [17,] -0.118675570 -0.098118725  0.02589917 -0.003517855
#> [18,] -0.002681522 -0.022568034 -0.02937817  0.033920255
#> [19,] -0.036423880  0.088756624 -0.03063978 -0.010350210
#> [20,] -0.042891385  0.012718957  0.01286619 -0.032344726
#> [21,]  0.018691647 -0.148804398  0.01078556 -0.064066407
#> [22,]  0.182246270 -0.014385642  0.06491489 -0.022765620
#> [23,]  0.004056301  0.531417357  0.32594651  0.012731873
#> [24,] -0.430530557 -0.145231750  0.04212635 -0.201595862
#> [25,]  0.046065568  0.117806393  0.04005483  0.291440761
#> [26,]  0.148043760 -0.167196580 -0.27149342  0.049973635
#> [27,] -0.140646403 -0.188487237  0.04802690 -0.273040087
#> [28,] -0.016888940  0.120537753  0.07706717  0.462458955
#> 
#> , , 8
#> 
#>              [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.07608484 -0.215022621 -0.103414826  0.196564741  0.261865764
#>  [2,]  0.07066782 -0.274985882 -0.097151536 -0.312718984  0.194645585
#>  [3,]  0.00122388  0.058379240 -0.084644306 -0.128924682 -0.310730318
#>  [4,] -0.14353246  0.485834659  0.144897379  0.036088190  0.085571563
#>  [5,] -0.21638842  0.067410459 -0.049395790  0.002298631  0.226524236
#>  [6,]  0.06078745  0.119305231  0.194592641  0.171647582  0.141475115
#>  [7,]  0.08933967 -0.095609889 -0.299206511 -0.201791117 -0.161336071
#>  [8,] -0.04072343  0.064444158 -0.020115466  0.090633217 -0.048406038
#>  [9,]  0.01030915 -0.009112448  0.052358461  0.077479928 -0.065029990
#> [10,]  0.05325834 -0.046315212  0.059391526 -0.069070355 -0.144716315
#> [11,] -0.01718296  0.006748268 -0.109876981  0.118933116  0.281379941
#> [12,]  0.22644938  0.052320102  0.232492579 -0.067117630 -0.110662389
#> [13,]  0.09326670  0.065528839 -0.136778749 -0.109641004 -0.103826971
#> [14,] -0.03779783 -0.096739160  0.028185486  0.147964642  0.109448932
#> [15,] -0.25088178  0.077418238  0.066048046 -0.055811900  0.049281877
#> [16,]  0.06808055 -0.097772416 -0.181244402 -0.051842042 -0.010387953
#> [17,]  0.06462865  0.250762543  0.126991660  0.047076413  0.114097885
#> [18,] -0.06923231  0.015632161 -0.072706110 -0.138808936 -0.007679978
#> [19,] -0.06888070  0.044927694 -0.013921046  0.113851944  0.042530680
#> [20,] -0.14413172  0.043268105 -0.006496772 -0.034063278 -0.084046143
#> [21,]  0.26332982  0.190735881 -0.023391174 -0.141304741  0.151719074
#> [22,]  0.01310493 -0.157843692 -0.136511090  0.030053820  0.081965635
#> [23,]  0.20832836 -0.313005979 -0.064281841  0.347897371  0.225808165
#> [24,] -0.19282488 -0.236606959  0.169436185 -0.071098738  0.080009461
#> [25,] -0.39643892 -0.029683907 -0.308131310 -0.067294254 -0.027937748
#> [26,]  0.19429030  0.393653484 -0.036560790  0.193999356  0.315701082
#> [27,] -0.23310672  0.178377368 -0.124764878  0.118825895  0.031058872
#> [28,]  0.05750523  0.097700116  0.019233504 -0.343086472 -0.103127193
#>               [,6]         [,7]          [,8]         [,9]
#>  [1,]  0.154371929  0.010424720  0.2151763755  0.465037715
#>  [2,]  0.454983394  0.078526659 -0.3978641293 -0.383604822
#>  [3,] -0.074702650 -0.377962035 -0.3309062478 -0.499990744
#>  [4,] -0.107236612 -0.136755524 -0.0025650630  0.041377089
#>  [5,] -0.034535071 -0.127444863 -0.0740584254 -0.074418198
#>  [6,]  0.449450095  0.435821276 -0.1115188581  0.309855610
#>  [7,] -0.291298926 -0.106071751 -0.2532959044  0.125759063
#>  [8,] -0.044959668 -0.160906659 -0.2274838049 -0.120139543
#>  [9,] -0.029563368  0.007509073 -0.0366655522 -0.048889053
#> [10,]  0.035439788  0.134700951  0.1552088290  0.063408340
#> [11,] -0.011777067 -0.045708011 -0.0557239433  0.015176976
#> [12,]  0.053470895  0.025244365  0.0054740049  0.013586548
#> [13,] -0.043890346  0.024699535 -0.0002672599  0.001993511
#> [14,] -0.008639642  0.001431802  0.0630060758  0.019573344
#> [15,]  0.099935498  0.004041849  0.1238111006  0.037919731
#> [16,] -0.002971932  0.060231984  0.0659763517 -0.027886813
#> [17,]  0.194559537  0.104805915  0.0256947095 -0.009815866
#> [18,] -0.057656798 -0.029870288 -0.0273875676 -0.020492982
#> [19,]  0.053218308  0.029739523  0.0735077733  0.093837432
#> [20,]  0.113632228  0.060533717 -0.0519258346 -0.026116162
#> [21,]  0.058636199  0.095085888  0.0750656326  0.016994348
#> [22,]  0.225676470  0.102970208 -0.1829038178 -0.209227738
#> [23,] -0.029346633 -0.151700948 -0.0097433011  0.040287162
#> [24,]  0.111274452  0.038603472 -0.2985160596 -0.073871232
#> [25,] -0.055080885 -0.239705913 -0.1972451285 -0.301760378
#> [26,] -0.046370482 -0.026087228 -0.0815469892 -0.184970188
#> [27,] -0.109731671 -0.230034167 -0.1219415448 -0.279901228
#> [28,] -0.193808650 -0.003139751  0.3925073874  0.265211142
#> 
#> , , 9
#> 
#>               [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.076513484  0.037923887  0.093675900  0.214598076  0.007011995
#>  [2,]  0.210899520  0.109589698 -0.150365508 -0.213028697  0.124113070
#>  [3,]  0.401214470  0.227107744  0.147519935 -0.077061258 -0.265966645
#>  [4,] -0.525157477  0.100976232 -0.111635352  0.031031731 -0.057521354
#>  [5,] -0.015552681 -0.091054562  0.031263695  0.047967693  0.001504572
#>  [6,]  0.195720365  0.175751251 -0.299836561 -0.248770418 -0.042340231
#>  [7,] -0.318957899  0.115174003 -0.318181264  0.127948520 -0.032775972
#>  [8,]  0.162835619 -0.017707163 -0.028726660  0.229780373  0.252948649
#>  [9,]  0.018894642  0.047948671  0.076891512  0.054045815  0.216440496
#> [10,]  0.009501207 -0.209522600 -0.141295707 -0.027074746  0.054658895
#> [11,]  0.117394575  0.261429856  0.048421597 -0.025883803 -0.038764259
#> [12,] -0.213984599 -0.326725368 -0.191857253  0.001394844  0.057268604
#> [13,] -0.123642489  0.021276299  0.064355644  0.024502599 -0.039401365
#> [14,] -0.090214841  0.138640266  0.091244240  0.156583353 -0.104633080
#> [15,] -0.059591744  0.157683500  0.101236958  0.029871336  0.073102169
#> [16,]  0.105014427 -0.009775809 -0.099689086 -0.086366649  0.068489586
#> [17,]  0.149762251  0.055870957  0.002361666  0.102649622  0.131944347
#> [18,] -0.162373833 -0.063485385  0.065924969 -0.072101035 -0.070979027
#> [19,]  0.138346791 -0.108653518  0.126400898  0.147942953  0.008817100
#> [20,]  0.168200639 -0.088311814  0.224266567  0.045210106 -0.024007929
#> [21,] -0.427938454 -0.092824159 -0.097867377 -0.046309427 -0.177180455
#> [22,] -0.038945694  0.108343995 -0.017417272  0.025678743  0.138368343
#> [23,]  0.375444577  0.152370357  0.134228521 -0.074297700 -0.056017227
#> [24,]  0.260435969  0.033906346 -0.017596604  0.045377730  0.065928986
#> [25,]  0.172680362  0.200563272  0.120816215  0.140985673  0.064783743
#> [26,] -0.362028578 -0.258942403  0.027057842 -0.070998427 -0.007684227
#> [27,]  0.216530128  0.280397209  0.372843969  0.062743355  0.008807382
#> [28,]  0.577575579 -0.034652321 -0.224795196  0.119905321  0.599071036
#>                [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.4527923248  0.204807588  0.088671663  0.271001521
#>  [2,] -0.2575187185 -0.338940701 -0.272743702 -0.381727754
#>  [3,]  0.0811488571 -0.188361914 -0.545200971  0.084892963
#>  [4,] -0.1540131315 -0.009538913 -0.138657694  0.129110422
#>  [5,]  0.1365541493  0.135548210  0.042019151  0.002573924
#>  [6,] -0.1222623932 -0.127324829  0.128591014  0.169909521
#>  [7,] -0.0924810928 -0.027494536 -0.231213842 -0.175023059
#>  [8,]  0.0865179117  0.107004346  0.060044432  0.119203514
#>  [9,] -0.0441267528  0.016493328  0.182321961  0.010654188
#> [10,]  0.0043294519 -0.141735101 -0.155113937 -0.003757837
#> [11,] -0.0895974319 -0.049263833  0.076177636 -0.108212263
#> [12,]  0.0614598988 -0.005437826  0.014886450  0.011528409
#> [13,]  0.0431954537 -0.008527833 -0.056880135 -0.008182279
#> [14,] -0.1835941997  0.034699944  0.051740885 -0.038386292
#> [15,]  0.0656398947  0.044798544 -0.058210922 -0.100399527
#> [16,] -0.1539670177 -0.042821743 -0.043722202  0.022116771
#> [17,]  0.0531670109 -0.041253575 -0.109440433 -0.146646477
#> [18,] -0.0348682121 -0.026973065  0.084743092  0.033456320
#> [19,] -0.0233378310 -0.086703473 -0.023181501  0.002690432
#> [20,]  0.0295390304  0.102022379 -0.060159387  0.012582213
#> [21,]  0.0167476642 -0.028576831 -0.077878099 -0.084563830
#> [22,]  0.0794903660 -0.111784745 -0.166184773  0.145462997
#> [23,] -0.0007705147 -0.128495581  0.139125892  0.087308301
#> [24,]  0.0234739125 -0.173999343 -0.002102685  0.040966473
#> [25,] -0.1015783253  0.222159384  0.214084284  0.220703563
#> [26,]  0.0938807823 -0.123345175  0.358396660  0.012550688
#> [27,]  0.2885291638  0.017557906 -0.429409359 -0.296675464
#> [28,] -0.4715689496 -0.653554340 -0.115147592 -0.422046837
#> 
#> , , 10
#> 
#>               [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.178169963  0.110978170  0.092749843 -0.001069079 -0.194661180
#>  [2,] -0.166515307  0.184802778  0.198716128  0.035123965  0.138953607
#>  [3,] -0.199120701 -0.343594923 -0.274435794  0.301805943  0.427272690
#>  [4,] -0.029248621  0.349522724 -0.166869082 -0.207295128  0.101259530
#>  [5,] -0.026937657  0.012887048 -0.142001766 -0.107741540 -0.023734480
#>  [6,]  0.044863047 -0.246025577  0.064565479  0.042798529 -0.204740997
#>  [7,] -0.211353909  0.298415627 -0.183651234 -0.097302070  0.027537068
#>  [8,]  0.041627749 -0.241729884  0.119263163 -0.063201856 -0.165310635
#>  [9,]  0.175706018  0.059594557 -0.061571696 -0.094778435  0.097616109
#> [10,] -0.203482422  0.243197781 -0.046344594 -0.195288782 -0.015846332
#> [11,]  0.094324441 -0.125678403 -0.031006353  0.057838116  0.117356569
#> [12,]  0.002254011 -0.094116193 -0.001147946 -0.110750645 -0.004789589
#> [13,]  0.185205013  0.165044208  0.082730924  0.103323321  0.100254683
#> [14,] -0.318129099  0.182542436  0.051466923  0.012187631  0.014522752
#> [15,] -0.116456808 -0.109142301 -0.079687410 -0.163235644  0.001494714
#> [16,]  0.056799574  0.074745199 -0.069212253 -0.109379668 -0.157374193
#> [17,] -0.045873197 -0.044682408 -0.047325391 -0.168709426 -0.145145826
#> [18,]  0.034049157  0.010735032  0.012205477  0.026175971  0.073830601
#> [19,]  0.210792215 -0.168814607 -0.044979427 -0.021191546  0.042411799
#> [20,] -0.081375400  0.052299898 -0.169156619 -0.102624823 -0.092972452
#> [21,] -0.116424965 -0.001068032 -0.192378407 -0.018291761 -0.084101634
#> [22,]  0.019242975 -0.004502822  0.162885606  0.154829142 -0.038177988
#> [23,] -0.195882126 -0.035551212  0.040071965  0.175922199  0.271516806
#> [24,] -0.142165960 -0.303617286 -0.198854353 -0.201311538 -0.138254335
#> [25,]  0.399647287 -0.221248949 -0.360055157 -0.093320108 -0.296728194
#> [26,]  0.087566656 -0.240327913 -0.440741093  0.086529206 -0.051926411
#> [27,]  0.054502860 -0.341432788 -0.444384608 -0.192965657 -0.037730258
#> [28,] -0.201107087  0.023833777  0.231322458  0.275338657  0.146735149
#>                [,6]        [,7]         [,8]         [,9]
#>  [1,] -0.2558734400 -0.09725798 -0.069550596  0.470158609
#>  [2,] -0.2341856850 -0.39598999 -0.109304202  0.006517351
#>  [3,]  0.2771523519 -0.25754072 -0.424776150 -0.328345278
#>  [4,]  0.0495539648 -0.02737414  0.204883865  0.003208566
#>  [5,] -0.0994939780  0.05247975  0.037535858  0.035975998
#>  [6,] -0.3213511212 -0.15621183 -0.218194567  0.034019781
#>  [7,] -0.0207725554 -0.08288757 -0.055155603 -0.268940673
#>  [8,] -0.0863774756 -0.05336864  0.019982237  0.086632570
#>  [9,]  0.0205114442 -0.15670640 -0.094597137 -0.101216719
#> [10,] -0.0140586320 -0.02708172  0.001409189 -0.101451175
#> [11,]  0.0585666125  0.05085326  0.020505935  0.136335912
#> [12,] -0.0350075472 -0.03655218 -0.110647992 -0.049840817
#> [13,]  0.1270925318  0.07620369 -0.009135377  0.022768537
#> [14,] -0.0294614625  0.03339937  0.011379074  0.077042017
#> [15,] -0.0007119962 -0.02825120  0.056499090  0.149175976
#> [16,] -0.1182042356 -0.06912448 -0.109585629 -0.181664621
#> [17,]  0.0362591052 -0.04469965  0.077035587  0.281863495
#> [18,] -0.0077792095  0.01738015  0.029550273 -0.027471441
#> [19,]  0.0654143859 -0.07099228 -0.020240310 -0.079128050
#> [20,] -0.1288646548 -0.10389152 -0.004295992  0.044583127
#> [21,] -0.1705823595 -0.02437716  0.053754715  0.214538519
#> [22,] -0.0438802628 -0.12678293 -0.001768043 -0.097480776
#> [23,]  0.0298130670 -0.04307074 -0.236716402 -0.150106737
#> [24,]  0.0623010212  0.13688420 -0.098351727  0.018081510
#> [25,]  0.0471015792  0.20071851  0.111526350 -0.021048493
#> [26,] -0.2653307938 -0.24477556 -0.299235033 -0.112726693
#> [27,] -0.2018528768 -0.11810916 -0.270616328 -0.271690579
#> [28,]  0.3164094179 -0.20340207  0.335587851 -0.427349348
#> 
#> , , 11
#> 
#>               [,1]        [,2]        [,3]        [,4]         [,5]
#>  [1,]  0.557612489  0.29233011  0.15235972  0.04641682 -0.130524070
#>  [2,] -0.232649922 -0.18954420  0.22709329  0.07662285  0.005674429
#>  [3,]  0.083927033  0.44053229  0.02075637 -0.07264746  0.246020705
#>  [4,]  0.378982729 -0.00280694 -0.03958473 -0.14918677  0.191825960
#>  [5,] -0.341627605 -0.10025152  0.03371916 -0.05252279  0.037650215
#>  [6,] -0.003243497 -0.14292972  0.16392338  0.22223649  0.146828218
#>  [7,]  0.037416638  0.16888163  0.01215124 -0.20335193 -0.031215499
#>  [8,]  0.394853376  0.02809937  0.18651935  0.16325073 -0.045939233
#>  [9,] -0.143798395  0.10901799 -0.32268338 -0.21277907 -0.117539874
#> [10,]  0.120528933  0.03317739  0.09539409  0.08812326  0.250820412
#> [11,]  0.151672759 -0.02975401 -0.06571728 -0.20127448 -0.026120848
#> [12,] -0.296798744  0.15243971  0.07566538  0.07308634  0.005431711
#> [13,]  0.285419156 -0.10830070  0.05619439 -0.05844535  0.236508761
#> [14,]  0.101484759 -0.10722026 -0.13719253  0.03796771 -0.029848721
#> [15,] -0.246803091 -0.04977984 -0.17146610  0.05272527 -0.021410058
#> [16,] -0.031473884 -0.11386620  0.20039428  0.16807413  0.061406705
#> [17,]  0.050395949  0.03832950  0.03413098  0.02362394  0.080599308
#> [18,] -0.208787044 -0.03709232 -0.07638213 -0.05629965  0.015015794
#> [19,]  0.012955860  0.10510926  0.04892433 -0.07807425  0.008404973
#> [20,] -0.013371900  0.08588595 -0.06202014  0.05922887 -0.002061127
#> [21,] -0.114262701 -0.12918336  0.06405589 -0.05759403  0.125992339
#> [22,] -0.055874782 -0.12628772  0.20216855  0.12493137 -0.001212705
#> [23,]  0.269728810  0.03478345  0.14917181 -0.10020994 -0.274186303
#> [24,] -0.222930086  0.05723848 -0.19516258 -0.06907671  0.056022355
#> [25,] -0.089274799  0.15463757  0.32221038 -0.02719942 -0.199355088
#> [26,] -0.085962005  0.17266831  0.16439340 -0.20056105 -0.078160705
#> [27,] -0.167188770 -0.01703036 -0.26023542 -0.22902911 -0.185690884
#> [28,] -0.354959038  0.15584033 -0.08389093  0.07839938 -0.340417202
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,] -0.324822192 -0.401995712 -0.014609854 -0.026813967
#>  [2,]  0.052414467  0.095068963  0.059556218  0.011399585
#>  [3,]  0.268140610  0.178610484 -0.034676235  0.386846519
#>  [4,]  0.063599676  0.005099410 -0.178664293  0.130692906
#>  [5,] -0.030426752  0.066977207  0.019677946 -0.025039262
#>  [6,] -0.016786826  0.037497015  0.358665657 -0.387083386
#>  [7,]  0.130682746 -0.096994724 -0.216933221 -0.120622030
#>  [8,] -0.022393690 -0.002031466  0.035475693 -0.063059114
#>  [9,]  0.013364666  0.028101288 -0.090758703 -0.019444595
#> [10,]  0.303336915  0.133789258  0.071265882  0.050548055
#> [11,] -0.012446053 -0.018810280  0.002024517 -0.024095618
#> [12,]  0.025891961 -0.016151647  0.056336591  0.058393799
#> [13,]  0.034930246  0.044107723 -0.036526356 -0.094666857
#> [14,] -0.068527308 -0.087846614 -0.076126547 -0.112375932
#> [15,] -0.043428105  0.164613473  0.136408329 -0.086754048
#> [16,]  0.104399086 -0.016569068 -0.036864938  0.094848134
#> [17,] -0.029495484 -0.010884422  0.023828436 -0.086721211
#> [18,]  0.060059915  0.082203268  0.055893203  0.073150327
#> [19,] -0.035168254  0.032202086 -0.036863261 -0.004592917
#> [20,]  0.008722382 -0.016735345  0.014758422  0.036749459
#> [21,]  0.097210307  0.014892997 -0.082315576 -0.085153783
#> [22,]  0.129332345  0.043763611  0.028989193  0.161132096
#> [23,]  0.101986664 -0.038146626  0.212019823  0.225303663
#> [24,] -0.263372896 -0.155587200 -0.141978726 -0.216505182
#> [25,]  0.032887179  0.050792203  0.010648016  0.129773316
#> [26,]  0.112071463 -0.019082627 -0.217203641  0.029878599
#> [27,] -0.021275779  0.071321574  0.066980433 -0.034159878
#> [28,]  0.019939057  0.034721072  0.267646996  0.401582138
#> 
#> , , 12
#> 
#>              [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.03273786 -0.465056564 -0.072475589 -0.363669759 -0.200907883
#>  [2,]  0.47553113 -0.227529004  0.102505337  0.228619196 -0.079044521
#>  [3,] -0.44269133 -0.017332807 -0.250496309 -0.207989557  0.185024717
#>  [4,]  0.07793494  0.148802380 -0.041511810 -0.150961877  0.062256511
#>  [5,] -0.31279847  0.022288247 -0.068508814 -0.003170037  0.017797595
#>  [6,]  0.14859315  0.004186787 -0.056244819  0.029953780 -0.092044720
#>  [7,] -0.01386940  0.100425515 -0.005603270  0.058799566 -0.119948118
#>  [8,]  0.05085576  0.122653010  0.004983599 -0.102009841  0.009375202
#>  [9,] -0.26240603  0.173859403  0.042658026 -0.076447918 -0.070075242
#> [10,]  0.21703825 -0.144739994 -0.089576046 -0.044205289  0.056532838
#> [11,]  0.01058741  0.142217704  0.057910697 -0.013346817 -0.167250545
#> [12,] -0.36918400 -0.120337849 -0.130800828 -0.040840126  0.117389553
#> [13,]  0.10802601 -0.060974464 -0.131123260 -0.014085106  0.007281893
#> [14,]  0.23204448 -0.269870318 -0.039108602  0.004639478 -0.004622869
#> [15,] -0.02504687 -0.025755190 -0.022792605 -0.109881841 -0.023120520
#> [16,]  0.14764746 -0.115228705  0.055983973  0.032501094 -0.054626131
#> [17,] -0.15123496 -0.090025297 -0.044957671 -0.061239975  0.099268369
#> [18,] -0.05696866  0.202670015 -0.005597749  0.103293895  0.015729101
#> [19,] -0.04479048  0.222893942  0.050790905  0.018768430 -0.112579372
#> [20,]  0.01512630  0.076926888  0.201675188  0.199373170 -0.032489521
#> [21,] -0.06073296  0.055066253  0.006476922  0.022023558 -0.057051269
#> [22,]  0.21165625  0.019926539 -0.251383016  0.043840618  0.029467791
#> [23,]  0.48022747 -0.051724916 -0.006992240  0.101241121 -0.136274357
#> [24,]  0.08629060  0.030466961  0.201879757  0.442555368  0.152155995
#> [25,]  0.09785454  0.436831002  0.180687543  0.097347509 -0.050522032
#> [26,]  0.04141493  0.112804048  0.258993942  0.034460576 -0.132311473
#> [27,] -0.10194800  0.353522697 -0.092130632 -0.159900780 -0.351792520
#> [28,] -0.43700962  0.235143656  0.027522543 -0.153605044 -0.018641393
#>              [,6]          [,7]         [,8]          [,9]
#>  [1,]  0.39417217  0.2821345361 -0.132813841  0.1345069637
#>  [2,]  0.09143272  0.5173197799  0.254006724  0.2149847993
#>  [3,]  0.41404277 -0.1847232141 -0.438114870  0.0872170307
#>  [4,]  0.15746415 -0.2724410426  0.063017163  0.1885073943
#>  [5,] -0.16256136 -0.1004711470  0.013677849  0.3073928159
#>  [6,]  0.26898780  0.2969065175  0.258391213  0.0333497857
#>  [7,]  0.06291335 -0.2825971901  0.067905056 -0.3592205449
#>  [8,] -0.01563924  0.0709513563 -0.051482082  0.0076525908
#>  [9,] -0.04192485  0.0008141642  0.068904779  0.0479667888
#> [10,] -0.03178039 -0.0646968093 -0.019180420 -0.0216902856
#> [11,] -0.15242581 -0.0310056492  0.016917405 -0.0162811831
#> [12,]  0.17311620  0.0755886225 -0.115062749  0.0709353135
#> [13,]  0.03798266 -0.0995248516  0.099901741 -0.0002077072
#> [14,] -0.04835405  0.0043970254  0.044584591  0.1203393758
#> [15,]  0.03821528 -0.0026294809 -0.117509852  0.0355637308
#> [16,]  0.06323100  0.0754896970  0.121250722 -0.0550326309
#> [17,]  0.01526480 -0.0783309670 -0.122027443 -0.0258516407
#> [18,]  0.03017037 -0.0171465181 -0.081496798 -0.0359302612
#> [19,] -0.06978363 -0.0535756794 -0.005780379  0.0180622633
#> [20,]  0.10621659 -0.0020991854 -0.051580675 -0.0078721565
#> [21,] -0.07183614 -0.0297024827  0.104290238  0.0014440311
#> [22,]  0.05501994  0.0155718338  0.196059024 -0.0924799296
#> [23,]  0.32453866 -0.0049928534 -0.233790520  0.0912807403
#> [24,] -0.14184250  0.0773708869  0.260006447 -0.0405661448
#> [25,] -0.12806746 -0.1681814998 -0.062806644  0.0935728273
#> [26,] -0.07606934  0.0517979024  0.228208967 -0.1019308436
#> [27,] -0.08978156  0.1102473329 -0.158708520  0.1098006591
#> [28,] -0.55047807  0.0854923321 -0.240183525  0.0844135740
#> 
#> , , 13
#> 
#>               [,1]        [,2]         [,3]          [,4]         [,5]
#>  [1,]  0.025703603 -0.21959768  0.043563111  0.2887870157  0.102367745
#>  [2,] -0.258962753  0.23756715  0.150342467  0.0820274175 -0.055658870
#>  [3,]  0.226216496  0.07222859 -0.273154095 -0.5335831523  0.147043056
#>  [4,]  0.043468349 -0.27829321 -0.007530413  0.0127787048  0.114541651
#>  [5,]  0.190762606  0.24419898  0.123750119 -0.0684239021 -0.107232962
#>  [6,]  0.007553903  0.11444079 -0.252474022  0.0346006100  0.065656664
#>  [7,] -0.064435821  0.06305772  0.171876681  0.3234982458  0.119169941
#>  [8,] -0.066029594  0.08853374  0.120808207  0.1590264406  0.099299785
#>  [9,]  0.017604053  0.03477619 -0.108570567  0.0399637945 -0.025211507
#> [10,] -0.201067763 -0.01551045  0.162613587 -0.0243713366 -0.066105109
#> [11,]  0.099509383  0.06361422 -0.103442014  0.0948050598  0.143060951
#> [12,] -0.047914801  0.14816178 -0.106420723 -0.1524473070 -0.195665317
#> [13,] -0.096063317  0.01297998  0.259674103  0.1499495832  0.113392459
#> [14,]  0.126491560 -0.07539530  0.091248117  0.0239818357  0.027384649
#> [15,]  0.070152914 -0.04878118 -0.218319985 -0.2037431904 -0.029936085
#> [16,] -0.023424717  0.02027440 -0.057743943 -0.0138830470 -0.011582878
#> [17,]  0.145709341  0.02808621 -0.088217816  0.0007854059  0.016347501
#> [18,]  0.088756786 -0.04130020 -0.015683700 -0.1717737060 -0.088264707
#> [19,] -0.121988868 -0.17309870  0.060541537  0.0963618070 -0.012175786
#> [20,] -0.015397893  0.17376924 -0.096036007 -0.1537584640  0.016273434
#> [21,] -0.073632931  0.07854343 -0.020077894 -0.0308437647 -0.161047557
#> [22,] -0.028400783 -0.07881637 -0.027781156 -0.0214998028  0.108857116
#> [23,]  0.024562231 -0.10130493  0.192434629 -0.0937868901  0.148149158
#> [24,]  0.087475366  0.12581597  0.151090660 -0.1471456690  0.052806935
#> [25,] -0.111199102 -0.54358497 -0.424024471 -0.1245730550  0.187884379
#> [26,]  0.055210728 -0.02842325 -0.083624366  0.0622795957  0.009833744
#> [27,]  0.138277016  0.15615494 -0.103299321 -0.1901548804 -0.001281809
#> [28,] -0.124962418 -0.04519721  0.007066369 -0.1743155409  0.080505758
#>               [,6]         [,7]        [,8]         [,9]
#>  [1,]  0.249017907  0.204559271  0.17799675  0.260450335
#>  [2,]  0.084263596  0.489819588  0.15794267  0.199734234
#>  [3,]  0.261537723 -0.191190190 -0.33545974  0.530683402
#>  [4,] -0.216154610  0.194601323 -0.27546023 -0.198102418
#>  [5,] -0.100039024  0.030043250 -0.24190678 -0.167482869
#>  [6,] -0.018878472 -0.024116946 -0.19831501 -0.201823935
#>  [7,] -0.042067425 -0.201673064  0.18160530 -0.065797147
#>  [8,] -0.088837334 -0.048298884 -0.16066134 -0.140272176
#>  [9,] -0.034417232 -0.016592440 -0.04610355  0.041600791
#> [10,]  0.072728792  0.055474329  0.08090467 -0.021547263
#> [11,]  0.050465913  0.021770304 -0.04860567  0.010370466
#> [12,] -0.097978127 -0.167192554 -0.06167679  0.019127677
#> [13,]  0.040246494  0.111422870  0.07805789  0.018894315
#> [14,] -0.048406594 -0.025094382 -0.03976548 -0.046021141
#> [15,] -0.069648721 -0.080946138  0.07680927 -0.011038861
#> [16,] -0.136194659 -0.043961885 -0.03652295  0.031151283
#> [17,]  0.114750147  0.064458447 -0.02625093 -0.002197214
#> [18,] -0.062136367  0.002409329  0.10629275  0.093031590
#> [19,]  0.077904930 -0.028041726  0.06878019  0.047846042
#> [20,]  0.167791458  0.123244082  0.01302191  0.004818899
#> [21,] -0.087392733  0.014515609 -0.03961695 -0.066007624
#> [22,]  0.080359060 -0.006506483 -0.23900675 -0.225799534
#> [23,] -0.091602926 -0.165451350 -0.14137236  0.077780881
#> [24,]  0.085618961  0.016266428  0.18554725  0.327601462
#> [25,] -0.007689709 -0.200313161 -0.11211186 -0.398707378
#> [26,] -0.204672272 -0.246798164 -0.19151215 -0.429505980
#> [27,] -0.086689020 -0.112044271 -0.63826904 -0.277631852
#> [28,] -0.175254821  0.034908697 -0.57567393  0.107427964
#> 
#> , , 14
#> 
#>                [,1]         [,2]         [,3]         [,4]          [,5]
#>  [1,] -0.2909424161  0.248198764  0.121592524  0.168007730  0.3344672977
#>  [2,] -0.3556717912  0.177697600  0.075022565  0.144938727 -0.1122479990
#>  [3,] -0.2066028490  0.059645201 -0.033839823 -0.136330092  0.4839265687
#>  [4,] -0.0676906746 -0.180266393 -0.321864753 -0.383117016 -0.2879644975
#>  [5,] -0.0964044414 -0.276138349 -0.203390348  0.084389890  0.0334779723
#>  [6,] -0.0281784551 -0.076715551  0.212730171  0.136785514  0.2122460997
#>  [7,] -0.1286342461  0.009578255 -0.292597080 -0.535772989 -0.2708287278
#>  [8,]  0.0951369550  0.109719713  0.096851174  0.233995168 -0.0486029372
#>  [9,]  0.0476807227  0.079291367  0.109138457 -0.093455813  0.0288477385
#> [10,] -0.0383818108  0.022644301 -0.148631289 -0.051360879 -0.0085666105
#> [11,]  0.0571709215 -0.001172689  0.049373835 -0.038787274  0.0002183351
#> [12,] -0.2920511995  0.119400345 -0.004176153 -0.118435029  0.1217652158
#> [13,]  0.1206428407 -0.188141791 -0.125303893 -0.036966210 -0.0993198466
#> [14,]  0.0746268048 -0.024051195 -0.011717340  0.005786554 -0.0646068851
#> [15,] -0.1636299312 -0.105335154  0.061455299  0.082545322 -0.0043494397
#> [16,] -0.0886799169  0.163000851  0.024784648  0.037110585  0.0023762776
#> [17,]  0.0179309674 -0.086157980  0.072947674  0.055800741  0.0447143631
#> [18,]  0.1608658451 -0.022413237 -0.153055405 -0.008765788  0.1418155303
#> [19,]  0.2459198742 -0.038183417  0.010235570  0.094738582  0.1613135275
#> [20,]  0.0954241132  0.229292915 -0.061679966 -0.066929421  0.0826858647
#> [21,] -0.0003648657  0.117730171  0.082102493  0.075977908  0.0563291085
#> [22,] -0.0944169721  0.020139112  0.095033810 -0.039761732 -0.1541962812
#> [23,] -0.1251084681  0.039227203 -0.002780284  0.246937854  0.2873537809
#> [24,] -0.0508749897 -0.085959302  0.185533379  0.114414614 -0.0584449511
#> [25,] -0.0068217855  0.268071848  0.237105521 -0.172261174 -0.1759113077
#> [26,]  0.4187689421  0.259911070 -0.083457501  0.005277917  0.3343916127
#> [27,]  0.0258612892  0.116346147 -0.196725394 -0.263105095  0.0361522888
#> [28,]  0.0869648269  0.135231468  0.109112060 -0.189737349  0.1752582283
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.392066793 -0.035380986  0.082107844 -0.117623929
#>  [2,] -0.485903809 -0.283502948  0.116228589 -0.110541433
#>  [3,]  0.450401416  0.098805515 -0.140439227  0.554541874
#>  [4,] -0.211185397 -0.118828090  0.151955511  0.319236134
#>  [5,]  0.042459918  0.140161642  0.084792347  0.013970788
#>  [6,]  0.096781664 -0.062969298  0.235254694 -0.025537086
#>  [7,] -0.188537275 -0.230717981 -0.032761676  0.107501412
#>  [8,]  0.054660787  0.096481999  0.100169052  0.035637206
#>  [9,] -0.011502692 -0.089435355 -0.011117398 -0.037566439
#> [10,] -0.087931372  0.103231683 -0.001865983  0.019288536
#> [11,] -0.098350318 -0.110238914  0.027412228  0.002304547
#> [12,]  0.038248847 -0.014113937 -0.076620696 -0.035519214
#> [13,] -0.057002291 -0.004923391  0.045699636  0.026707629
#> [14,]  0.001751252  0.004783871  0.037243551  0.006787015
#> [15,]  0.012552288  0.082881418  0.005351988 -0.118056356
#> [16,] -0.076698696 -0.103794717 -0.135404600 -0.049981342
#> [17,]  0.039293616 -0.044894940  0.098018456  0.079318567
#> [18,] -0.080520779  0.065563881 -0.024427310 -0.043929604
#> [19,]  0.099325244 -0.012240284 -0.043486239 -0.076538918
#> [20,] -0.137401588 -0.156492911 -0.062955894  0.051008375
#> [21,] -0.002373268 -0.016703293  0.043894069  0.098191212
#> [22,] -0.194710109 -0.154635326 -0.110843757  0.028892193
#> [23,]  0.159359302  0.052818992 -0.022965781 -0.213772534
#> [24,] -0.110288052 -0.051560646 -0.192961956 -0.387279514
#> [25,]  0.139589350 -0.074535514  0.022886128  0.329404810
#> [26,]  0.401846753  0.482293653  0.327558318  0.201314215
#> [27,] -0.048942476 -0.182372335  0.157509348 -0.100841308
#> [28,]  0.009779035 -0.194030838  0.190864922  0.504532275
#> 
#> , , 15
#> 
#>              [,1]        [,2]          [,3]         [,4]         [,5]
#>  [1,] -0.07781728 -0.21761506 -0.0217762577  0.119705687  0.503191101
#>  [2,]  0.29140012  0.16892620  0.0621567176 -0.149457913  0.136655829
#>  [3,] -0.48031510 -0.12003137 -0.1470936503  0.151609150  0.254586758
#>  [4,] -0.45569836 -0.12765099  0.1030009890  0.104292670  0.239064288
#>  [5,]  0.21745535  0.37039685  0.1824134712 -0.072507127  0.016778433
#>  [6,]  0.02704823  0.07560986 -0.1216256800 -0.413089841 -0.348575443
#>  [7,]  0.17231156  0.02344956  0.0123413459  0.357163800  0.444868099
#>  [8,] -0.10113126 -0.12827872 -0.0736579239  0.066138022  0.009948097
#>  [9,] -0.05022202  0.07950721 -0.1206804054  0.025832742  0.069487321
#> [10,] -0.10551741 -0.08662010 -0.2760949207 -0.024771730 -0.040201574
#> [11,]  0.23423919 -0.11245278  0.0832110435  0.166795154  0.098665794
#> [12,] -0.06899489  0.27674848 -0.1187034534 -0.077858086  0.096788740
#> [13,]  0.03096501 -0.24510612 -0.0829627498 -0.006146911 -0.055355073
#> [14,]  0.31449714  0.23366076  0.1130586085 -0.065702037  0.179634044
#> [15,] -0.17268782  0.13167662  0.0387103548 -0.172814411  0.060970377
#> [16,]  0.06873387 -0.14473270  0.0281458779  0.094567712 -0.082631222
#> [17,]  0.10149941 -0.13048039 -0.0282851610 -0.120192172 -0.003702889
#> [18,] -0.15478051  0.00194737  0.1487987991 -0.036072875 -0.196054722
#> [19,] -0.02078343  0.03308063  0.0001697041  0.006058281  0.012650561
#> [20,] -0.22868998 -0.12731372  0.0731614375 -0.049533341 -0.114888437
#> [21,]  0.16379611 -0.22918511  0.1590759343  0.023496691 -0.040854020
#> [22,]  0.11209318  0.34616079 -0.0737519379 -0.031318255  0.146180306
#> [23,] -0.41599163 -0.42058881 -0.0768537891  0.277024622 -0.161813157
#> [24,]  0.20008230  0.22894871  0.1372024486  0.083606001 -0.331437667
#> [25,]  0.02593465 -0.37743513 -0.2446790969  0.140471595  0.316729881
#> [26,]  0.48377945 -0.30325368  0.3120701444  0.220835712  0.264978255
#> [27,] -0.48560602  0.01291954  0.0308739503  0.105084969 -0.198325629
#> [28,] -0.39232011  0.22053041 -0.2084278904 -0.374106735  0.001484996
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,] -0.075320571 -0.301403623  0.078229228 -0.091678722
#>  [2,] -0.035156048 -0.157156838  0.035013175  0.145333961
#>  [3,]  0.113712058  0.136748211  0.215844810  0.116217536
#>  [4,]  0.316322112  0.038106547 -0.149121333  0.227454895
#>  [5,]  0.263908006  0.088258865 -0.137785212  0.202277788
#>  [6,] -0.318330122 -0.218877993  0.030528339  0.503519356
#>  [7,]  0.179290108  0.079274569 -0.087685655 -0.100240015
#>  [8,] -0.026223847  0.003355303  0.185892201  0.159026789
#>  [9,] -0.003719942  0.057667389 -0.019249798 -0.220697717
#> [10,] -0.016207445  0.035804788  0.032588215 -0.003695766
#> [11,]  0.091182287  0.061981515 -0.002631200 -0.028191678
#> [12,]  0.120064156  0.019567383  0.109085594  0.065879333
#> [13,] -0.025812722 -0.043497627 -0.174987412 -0.136490665
#> [14,]  0.118959690  0.079158066 -0.014917261 -0.030911631
#> [15,]  0.050033209 -0.065213107 -0.014210199  0.175684316
#> [16,] -0.110365399 -0.072509078  0.058316176 -0.101801005
#> [17,]  0.048366335  0.043363724 -0.005829240  0.080606555
#> [18,]  0.061076884  0.046490243  0.005519004  0.005494723
#> [19,] -0.020954859  0.081760622 -0.020797736 -0.017104004
#> [20,] -0.007648034 -0.106422832  0.069845995 -0.025009637
#> [21,] -0.011061381  0.044432626 -0.026202146  0.066137859
#> [22,]  0.216701231  0.040496756 -0.156868503 -0.084699597
#> [23,] -0.202048571 -0.040654633  0.220179560 -0.055140791
#> [24,]  0.107237412  0.255389666 -0.055124840  0.283664241
#> [25,] -0.033185798 -0.153685837 -0.090786060 -0.348172021
#> [26,]  0.246437867  0.202897940  0.131988384  0.271116566
#> [27,] -0.230693991 -0.270579829  0.273465903 -0.156899718
#> [28,]  0.129438737 -0.288768783  0.314193332 -0.154954185
#> 
#> , , 16
#> 
#>              [,1]          [,2]        [,3]         [,4]         [,5]
#>  [1,]  0.14639225 -0.3725569513  0.34252811  0.422207398  0.257241174
#>  [2,]  0.14655951 -0.4540182965 -0.30557217 -0.230924112  0.354827031
#>  [3,]  0.02329779  0.3646568717 -0.34018898 -0.531545773 -0.419124206
#>  [4,]  0.06601448  0.0328957838 -0.48175706 -0.007385779 -0.106752285
#>  [5,] -0.09317157 -0.0175278100 -0.16872365  0.023337638  0.016415125
#>  [6,]  0.14990217 -0.2288841113 -0.10864472 -0.128097786  0.076719683
#>  [7,] -0.38222067 -0.1974093498  0.07795414  0.012006886 -0.280001028
#>  [8,]  0.08194573  0.0699764305  0.27701727 -0.016049695 -0.075476429
#>  [9,] -0.15882089  0.1912441462  0.09334578  0.050639640 -0.026118807
#> [10,]  0.15406675  0.1125686272  0.20234713  0.056283872  0.039842118
#> [11,]  0.11465479 -0.1845541106  0.09197691 -0.079689364 -0.094125578
#> [12,] -0.11168142  0.0924258299 -0.16631416 -0.087892791 -0.106376842
#> [13,] -0.01558513  0.0544807611  0.01213752  0.001625092  0.077244493
#> [14,] -0.18554476 -0.0872938317 -0.02678299  0.203456756  0.105630206
#> [15,]  0.01293120  0.1840806540 -0.35719004 -0.174158232  0.034863811
#> [16,]  0.22989603  0.0122622200  0.24720676  0.044654143 -0.074989315
#> [17,]  0.29984365  0.0298164313 -0.12560710 -0.070515081 -0.035950362
#> [18,] -0.22471523  0.0986788769  0.09578279  0.240297343  0.177585477
#> [19,] -0.04361952 -0.1962790056 -0.07432828 -0.052240462 -0.099277761
#> [20,]  0.10285114  0.0487104482 -0.01721043  0.022867352  0.091143391
#> [21,]  0.28432549 -0.1218582579 -0.14742082  0.044671685  0.068860594
#> [22,] -0.08503961  0.0009407144 -0.21385450 -0.282547509 -0.045547967
#> [23,] -0.08894601  0.1648037258  0.41792587  0.014487827  0.008845444
#> [24,] -0.22575359 -0.2415913435  0.10337470  0.172563376  0.251629093
#> [25,]  0.09065428 -0.0579715936 -0.15976271 -0.185605680 -0.134640102
#> [26,]  0.05407255 -0.1960033453 -0.06577060 -0.035218736 -0.088673577
#> [27,]  0.02134834  0.0862793065  0.18641132  0.107189765 -0.206991705
#> [28,]  0.12827904  0.4894377524 -0.38252137 -0.159032257  0.162459309
#>               [,6]         [,7]        [,8]         [,9]
#>  [1,]  0.435258210  0.479087231  0.21925163 -0.001494708
#>  [2,]  0.589616044  0.084118324 -0.06248413  0.049741050
#>  [3,] -0.109588036  0.284887216  0.44029771 -0.117128399
#>  [4,] -0.090836075 -0.097299092 -0.25360673 -0.055017510
#>  [5,] -0.271818238 -0.373008651  0.01382489 -0.001027415
#>  [6,]  0.048389859  0.128548532 -0.09049398  0.026179396
#>  [7,]  0.073888857  0.152876170  0.32017495  0.363413771
#>  [8,]  0.050582269  0.057334228 -0.04541044 -0.038628588
#>  [9,] -0.162421930 -0.087322984 -0.02745444  0.093924379
#> [10,]  0.036392012 -0.001823491  0.04154141  0.007027324
#> [11,]  0.151277742  0.085608783 -0.03003037  0.054225257
#> [12,] -0.170952275 -0.247524794 -0.16485368 -0.110850536
#> [13,]  0.169985850  0.221816797  0.16318891  0.092353483
#> [14,]  0.082920400  0.058160819  0.05640434 -0.100698976
#> [15,]  0.020749790  0.030827832 -0.02513916 -0.094133157
#> [16,]  0.131007200  0.065360273 -0.05719683  0.042924072
#> [17,] -0.151727465 -0.053601015 -0.02927253 -0.145302020
#> [18,]  0.086738577  0.075771227  0.06166297 -0.022284620
#> [19,] -0.132004502 -0.027921325  0.03291787  0.046567559
#> [20,]  0.050894704  0.007417281 -0.07728677  0.078886804
#> [21,]  0.034217083  0.033251726 -0.04994976 -0.175346458
#> [22,]  0.019118237 -0.094287036  0.09994906 -0.053818728
#> [23,]  0.068189409  0.051971070 -0.24135809 -0.064992424
#> [24,]  0.085431707  0.059081520  0.05169832 -0.086547080
#> [25,]  0.242826952  0.278741985  0.10842137  0.178824780
#> [26,] -0.007268765 -0.126630918 -0.03937368 -0.211778738
#> [27,]  0.081303480 -0.062061636 -0.12463781 -0.175465257
#> [28,]  0.488387540 -0.231608093  0.30934406  0.310889117
#> 
#> , , 17
#> 
#>               [,1]        [,2]         [,3]         [,4]        [,5]
#>  [1,]  0.312772394  0.13889590  0.249365929  0.071831760 -0.11501143
#>  [2,]  0.104393568  0.09373844 -0.349288899 -0.198119500 -0.17402207
#>  [3,] -0.173831304  0.23804854 -0.601234715 -0.258593779 -0.02735132
#>  [4,] -0.195210886 -0.01106507  0.095245752 -0.026169427  0.10524159
#>  [5,] -0.055350508 -0.12525608  0.183454298  0.035852054 -0.05671268
#>  [6,]  0.160812141 -0.25365667 -0.186594628 -0.034844684  0.08604037
#>  [7,]  0.065495778  0.01113145  0.095620824 -0.024702555 -0.11321495
#>  [8,]  0.011860801 -0.02246671 -0.065361642  0.092285050  0.02378126
#>  [9,] -0.115878295 -0.11070930 -0.069910770 -0.143916205 -0.17358585
#> [10,] -0.237436208  0.05454524 -0.148420906 -0.138694385 -0.03047733
#> [11,] -0.068753212 -0.13621963  0.055901984  0.078432060 -0.06803735
#> [12,] -0.004527533  0.16333214 -0.092847350 -0.144402261  0.09025512
#> [13,]  0.067413514 -0.15916095  0.078634699  0.098755854  0.03940844
#> [14,] -0.023477972  0.32053271  0.153334825  0.051033305 -0.26412680
#> [15,]  0.022040919  0.15529587  0.010128660  0.044782306  0.05162156
#> [16,] -0.190961230 -0.19403228 -0.072531595 -0.003465021 -0.05906382
#> [17,] -0.019788993  0.11734885  0.178477906  0.063905186  0.05790985
#> [18,] -0.018373434 -0.15815669 -0.205168990 -0.194139908 -0.06385912
#> [19,]  0.144650269 -0.07022941  0.150032698  0.052774736  0.05414709
#> [20,] -0.272297446  0.08722905 -0.174397668 -0.040405957 -0.03737632
#> [21,] -0.055882455 -0.15694752 -0.008698926 -0.021469132 -0.10260337
#> [22,] -0.149850032 -0.23400714  0.083310249  0.083628460  0.03680327
#> [23,]  0.063582833 -0.09851539 -0.382671174 -0.279522799 -0.02005068
#> [24,]  0.265573411  0.22108634 -0.258828117  0.098154755  0.11709280
#> [25,]  0.077962059  0.27503271  0.499039144  0.281048807 -0.16591379
#> [26,] -0.242605411 -0.02085950 -0.150145471 -0.180219346 -0.02498932
#> [27,] -0.014482015  0.21387989 -0.014243186  0.139207456  0.09746751
#> [28,]  0.108936508  0.44947757 -0.118795956  0.120563940  0.31714908
#>              [,6]          [,7]        [,8]        [,9]
#>  [1,] -0.04117923  0.0439064136 -0.13991309 -0.11921583
#>  [2,]  0.11844974 -0.3422624369 -0.60968102  0.35865796
#>  [3,] -0.45104971 -0.3934104525  0.06114185 -0.36214215
#>  [4,]  0.30953370  0.0476679628  0.05978926 -0.22065234
#>  [5,] -0.03316781 -0.0002624114  0.05520728 -0.09894804
#>  [6,]  0.12601052  0.1461058979 -0.25654782  0.21648194
#>  [7,] -0.20700824  0.0038631022 -0.15946900 -0.02303595
#>  [8,] -0.04250848 -0.0044589419 -0.04499889 -0.20729141
#>  [9,]  0.18317380 -0.0114987854 -0.10017780  0.11628964
#> [10,] -0.06166287  0.0072345342  0.08446792 -0.04273051
#> [11,] -0.16107156 -0.1196265831 -0.12499919  0.05879008
#> [12,]  0.05948098  0.0583216156 -0.02154986  0.08983551
#> [13,] -0.04209093 -0.1002409820  0.03632926 -0.09366987
#> [14,] -0.04597633  0.0032594110  0.07306867  0.07591340
#> [15,]  0.04620477  0.0494215583 -0.01321551 -0.08049662
#> [16,] -0.09237163 -0.1260387165 -0.03803187  0.02735123
#> [17,]  0.09167741  0.0581258438 -0.13201747 -0.07560929
#> [18,] -0.10161169 -0.0191315281  0.01479371 -0.04718609
#> [19,]  0.10330120 -0.0084233672 -0.06654782  0.06520143
#> [20,] -0.04936008  0.1009913013  0.04250202  0.02068223
#> [21,] -0.10192792 -0.0344000586 -0.01923789 -0.02032462
#> [22,] -0.05963191  0.0073659648  0.02336028 -0.11608027
#> [23,] -0.09772113 -0.1467089432 -0.06065427  0.02409070
#> [24,] -0.02783228  0.0107485127  0.21051294  0.05518562
#> [25,] -0.12829384  0.0617258284  0.05398815 -0.12349725
#> [26,] -0.15645772  0.0350726252  0.14070645 -0.25251601
#> [27,] -0.28332525 -0.3822702784 -0.35637354 -0.36390068
#> [28,]  0.93823219  0.4259309086 -0.10029649 -0.23455447
#> 
#> , , 18
#> 
#>               [,1]          [,2]         [,3]        [,4]         [,5]
#>  [1,]  0.168927572  0.1905724293  0.486115464  0.44366839  0.129016888
#>  [2,] -0.081639863 -0.0604754762 -0.331462119 -0.31548037 -0.027987117
#>  [3,] -0.402755278  0.2826013225 -0.019235002 -0.30583999 -0.422698792
#>  [4,]  0.284225448  0.2718719500 -0.161296337 -0.34323059  0.066949520
#>  [5,] -0.157271821  0.0670657622 -0.091608885 -0.14998744 -0.082685597
#>  [6,]  0.025789795 -0.0835549537 -0.200019464 -0.23904356 -0.000432046
#>  [7,] -0.008793220 -0.1490065412 -0.086672145 -0.14557527  0.101728095
#>  [8,] -0.060425213  0.1059578660  0.175401078 -0.07030385 -0.147486658
#>  [9,] -0.180007588 -0.1281541308 -0.149269329 -0.03039730 -0.086998392
#> [10,]  0.091118346  0.2490480932  0.038983635  0.03702727  0.241873640
#> [11,] -0.200275450  0.1210159180 -0.045577935 -0.04889313 -0.156004130
#> [12,]  0.071757727  0.0148599382  0.007511389  0.10418967  0.054293212
#> [13,]  0.217812729  0.0979388799  0.089412802 -0.05378784  0.016196716
#> [14,] -0.274461090  0.0008265184 -0.026548433 -0.19372130 -0.050770799
#> [15,] -0.202213057  0.0068995493 -0.079798325 -0.19588067 -0.019647795
#> [16,]  0.007310527  0.0890756505 -0.112500918 -0.07875283 -0.192169953
#> [17,] -0.138688143 -0.0932993829 -0.132729433 -0.02667079 -0.027437189
#> [18,]  0.172006574 -0.0272971660  0.014354972 -0.03719683 -0.044802154
#> [19,]  0.096593343  0.0171652550  0.018350065  0.01722770  0.049672563
#> [20,]  0.090214935 -0.2197862977 -0.007745394  0.04178268  0.044571892
#> [21,]  0.103253924  0.2031843713  0.070154898 -0.02164181 -0.182382679
#> [22,]  0.014128426  0.2759387717 -0.004507897 -0.05767153  0.363527020
#> [23,]  0.367279112  0.0681025640 -0.048982988 -0.05221575 -0.058599762
#> [24,] -0.209429432 -0.0045596239  0.219886575 -0.07857873  0.045037655
#> [25,] -0.373801339 -0.1414744679 -0.098005417 -0.03722376  0.409268500
#> [26,] -0.279276901  0.2683445024  0.166674971  0.03744490  0.013718206
#> [27,] -0.197498729 -0.2489634897 -0.046889915  0.11186809 -0.091676290
#> [28,] -0.173652505 -0.5822893351 -0.384041858  0.22219058 -0.091561940
#>              [,6]          [,7]          [,8]         [,9]
#>  [1,] -0.06086537  0.3841726733  5.422971e-01  0.250354398
#>  [2,]  0.05644414 -0.0370865960 -2.405666e-01 -0.189520475
#>  [3,] -0.51764139 -0.3469427409  3.144832e-01  0.283395068
#>  [4,] -0.05137074  0.0051696864  4.818632e-01  0.391994668
#>  [5,]  0.11746158 -0.1368559964 -4.159051e-02  0.094647502
#>  [6,]  0.03612011  0.0822055252  9.885476e-03  0.037160529
#>  [7,] -0.11964689  0.1341016227 -2.878483e-01 -0.117313359
#>  [8,] -0.06792708 -0.0883111822  4.816594e-02 -0.010645301
#>  [9,] -0.06190374 -0.0117659502 -7.740178e-02  0.039819029
#> [10,]  0.25101435 -0.0128810250 -3.546774e-02 -0.048948403
#> [11,] -0.04289215 -0.0006350822  2.733402e-06  0.060057254
#> [12,]  0.11840235  0.0690998256  9.693038e-03 -0.020283327
#> [13,]  0.02884664  0.0189094941  8.431639e-02 -0.054683909
#> [14,] -0.05720056  0.0535542663  3.373605e-02  0.069955339
#> [15,]  0.05755731 -0.0489171636  7.445118e-03  0.187701057
#> [16,] -0.25527442 -0.0595991722 -9.418859e-02 -0.105206456
#> [17,]  0.00370014 -0.0093221137  4.752430e-02  0.085386489
#> [18,]  0.03474156  0.0487856999 -3.613412e-02 -0.003451898
#> [19,]  0.05598689  0.0065398598 -3.790601e-02 -0.015114317
#> [20,] -0.10890949  0.0729611927  9.387711e-02 -0.014848913
#> [21,] -0.07679516  0.0870156032  1.300449e-01  0.092896752
#> [22,]  0.20028231  0.0668126720  9.574568e-02  0.112393898
#> [23,] -0.02700688  0.2227841354  1.554947e-01  0.011014686
#> [24,]  0.20352688 -0.0890182713 -3.007288e-02  0.003127543
#> [25,] -0.23058326 -0.1403768525 -6.391799e-02 -0.109055906
#> [26,]  0.15945374  0.1456046200 -1.337791e-01 -0.253103622
#> [27,] -0.14918305 -0.2304028988  2.280359e-01 -0.261726658
#> [28,] -0.75538039 -0.4023103538 -9.521801e-01 -0.762208171
#> 
#> , , 19
#> 
#>              [,1]         [,2]          [,3]         [,4]         [,5]
#>  [1,]  0.21426755  0.339595339  2.371650e-01  0.012096480 -0.035802778
#>  [2,] -0.05481558 -0.165955176 -9.620116e-02  0.156448452  0.098783538
#>  [3,] -0.18352040  0.135161481  4.217391e-01  0.330317938  0.113970953
#>  [4,] -0.28320008  0.300598400  3.025530e-01  0.054603739 -0.020538220
#>  [5,]  0.09519175  0.024005471 -3.313973e-01 -0.083364600 -0.129123812
#>  [6,] -0.07428957 -0.066661184 -3.132312e-02 -0.034079477 -0.058875330
#>  [7,] -0.12232555  0.113114659  2.178607e-01 -0.139482557  0.158593668
#>  [8,]  0.01199487 -0.172752919 -5.667002e-02  0.205202836  0.080273613
#>  [9,] -0.04452732  0.106508001  4.707081e-03  0.017910604  0.166730754
#> [10,]  0.52609611  0.115149275  4.426961e-05 -0.185363226  0.171912183
#> [11,] -0.34645454 -0.081981994 -1.200858e-01  0.152184455 -0.059237797
#> [12,]  0.24428766  0.081322091 -9.068519e-02 -0.152390881 -0.032998159
#> [13,] -0.06759162 -0.007781788  5.236448e-02 -0.012359031  0.057702743
#> [14,] -0.02381714 -0.123488827 -2.444887e-01  0.032175356  0.104515435
#> [15,] -0.05015103 -0.068510197 -1.255350e-01  0.057858204 -0.005315043
#> [16,] -0.10836270  0.035236329  8.403568e-02  0.243290156  0.163744705
#> [17,]  0.07253205 -0.102036180 -2.307191e-01 -0.002063509 -0.008524319
#> [18,] -0.11352203 -0.041566538  4.958645e-02  0.017194236 -0.074602659
#> [19,] -0.05942581  0.149660685 -8.132685e-02 -0.097829598 -0.011552757
#> [20,]  0.15758295 -0.188247458  5.784699e-02  0.024163261  0.018306076
#> [21,] -0.28781213 -0.002833578 -1.008019e-01 -0.052755412 -0.027958206
#> [22,] -0.19332821 -0.261739585 -4.915741e-01 -0.325720255 -0.179413532
#> [23,]  0.15602940  0.023882695  1.931223e-01 -0.014109449  0.191568168
#> [24,]  0.06042005  0.142209883 -2.771041e-02  0.134066843 -0.037595422
#> [25,] -0.21805375 -0.185239726 -3.337852e-02  0.059627484  0.047140200
#> [26,] -0.26438605 -0.146461260 -1.639039e-01  0.013221486 -0.250297797
#> [27,]  0.09539014  0.151815699  1.163986e-01  0.054299181 -0.104107071
#> [28,]  0.03764948 -0.426925736 -4.328284e-02  0.011782817 -0.250884950
#>               [,6]         [,7]         [,8]        [,9]
#>  [1,] -0.205738669  0.358484383  0.386080651 -0.14879547
#>  [2,] -0.059686664 -0.083607841  0.468202606 -0.14974533
#>  [3,] -0.060617415 -0.114825713  0.086245817 -0.07412219
#>  [4,]  0.077047241 -0.255113272 -0.377391623 -0.25533266
#>  [5,]  0.109987370 -0.044482159 -0.113521295  0.13589982
#>  [6,] -0.024187544 -0.135632813  0.127817397  0.41818835
#>  [7,]  0.172633407  0.399522348  0.051749109  0.19846713
#>  [8,]  0.003587418  0.008237195  0.040160310 -0.09269514
#>  [9,]  0.005202809  0.074968001  0.137424650  0.02128736
#> [10,]  0.064608569  0.020207754 -0.046290554 -0.06147699
#> [11,] -0.149154017 -0.010401093  0.049058705  0.06053255
#> [12,] -0.088151084 -0.106559848  0.009550134  0.02441664
#> [13,]  0.042917915 -0.033618808 -0.076615627  0.06303165
#> [14,]  0.048535744  0.113384743  0.143878683 -0.06021330
#> [15,] -0.097383914 -0.124953829 -0.060311696 -0.14813075
#> [16,]  0.130013433  0.102353186 -0.005109514 -0.06151509
#> [17,] -0.080935428 -0.122856081  0.053454248 -0.06538692
#> [18,] -0.084903777 -0.122719043  0.018405995 -0.01018154
#> [19,]  0.045823035  0.046328998  0.040184585  0.01341148
#> [20,] -0.001820177  0.059867692  0.015432666  0.12503399
#> [21,] -0.140957153 -0.125142952 -0.058269127 -0.10236904
#> [22,] -0.214040457 -0.010085629 -0.004675372  0.00958206
#> [23,]  0.153321315 -0.274467565 -0.174376721 -0.21816112
#> [24,]  0.043978142 -0.045165236  0.216199094  0.16057511
#> [25,]  0.016035204  0.037230106 -0.122605782 -0.08227866
#> [26,] -0.085991088  0.138660744  0.031055863  0.10104567
#> [27,] -0.125108667  0.056803871 -0.171929977 -0.13825412
#> [28,] -0.088716299  0.773184431 -0.414838898 -0.03536424
#> 
#> , , 20
#> 
#>              [,1]         [,2]          [,3]        [,4]         [,5]
#>  [1,]  0.26953519  0.222997852  0.2189189183  0.30586443  0.250318342
#>  [2,] -0.14825460  0.252152071  0.4657985065  0.42537417 -0.204195053
#>  [3,]  0.03440017  0.095558413  0.1361557568  0.10593206 -0.231377185
#>  [4,]  0.36482762 -0.028300646 -0.3490396895 -0.26786939 -0.588035342
#>  [5,] -0.28627873 -0.094379691  0.0362066235  0.03534653 -0.067806525
#>  [6,] -0.52171056  0.305903472  0.4884671700  0.22567412  0.160832064
#>  [7,] -0.09243745 -0.041574594 -0.0420858917  0.19624480 -0.095833634
#>  [8,]  0.04370536 -0.132690949 -0.1118624300 -0.24753861 -0.202003640
#>  [9,] -0.10884410 -0.124672540  0.0177208489 -0.05796432  0.039954175
#> [10,] -0.49077415 -0.182033269 -0.1244749525 -0.09211128 -0.157775832
#> [11,]  0.19571944  0.033038176  0.2479203248  0.05707317 -0.021756080
#> [12,] -0.06722047 -0.049987854  0.0313250093  0.07352841  0.014824566
#> [13,]  0.06217424  0.052932939 -0.0157561694 -0.06692093 -0.126929057
#> [14,]  0.11017478 -0.113298224  0.1020159084 -0.13338825 -0.070132159
#> [15,]  0.20204089  0.228988577  0.0068368949 -0.13204468 -0.096088709
#> [16,] -0.23518495 -0.093655972  0.1747499527  0.06054139  0.034092865
#> [17,]  0.06242070  0.046521335 -0.0126734559 -0.18658699 -0.156775828
#> [18,]  0.23148242  0.180363785  0.0671774627  0.13799404 -0.010519695
#> [19,] -0.07677020  0.007900447 -0.0006449199  0.02564257  0.000529568
#> [20,] -0.01283426  0.054114211  0.1079706737 -0.05936356 -0.068796597
#> [21,]  0.10594251 -0.021468438 -0.1356432744 -0.02051362  0.019611606
#> [22,] -0.01056422 -0.022670005  0.1719502629 -0.17784280 -0.162245846
#> [23,]  0.36368199  0.201782060 -0.0994570845  0.10129131  0.328951248
#> [24,] -0.13795119  0.366050298  0.1318521172 -0.30469985 -0.177142293
#> [25,]  0.26326946 -0.065898452 -0.0425287387  0.04864615 -0.289731785
#> [26,]  0.08694857  0.135455762 -0.1601307016  0.19865676  0.203366228
#> [27,]  0.04584628  0.391978931  0.3525270511  0.03119297 -0.160216708
#> [28,]  0.09620982 -0.001458845  0.1071153479 -0.39680622 -0.717218582
#>               [,6]        [,7]         [,8]         [,9]
#>  [1,] -0.074990876  0.51849171  0.329679233 -0.082610546
#>  [2,] -0.183026485 -0.25777905 -0.020392717  0.054858647
#>  [3,] -0.231422873  0.19516076 -0.176861604 -0.150167051
#>  [4,] -0.282091564 -0.12945343  0.101843105  0.378181368
#>  [5,] -0.090155002 -0.03442530 -0.044631118 -0.018593223
#>  [6,]  0.113918313  0.38244042 -0.058324470 -0.138530683
#>  [7,] -0.188223875 -0.20750095 -0.296656136 -0.433302583
#>  [8,]  0.017727083  0.05895709  0.148268026 -0.001661373
#>  [9,] -0.004579273 -0.07194340 -0.018830603 -0.076883271
#> [10,]  0.027972914 -0.10655980 -0.018659912 -0.017452634
#> [11,]  0.104474662  0.03234817  0.085438656  0.100128114
#> [12,] -0.012934211  0.11351791 -0.051313254 -0.202892785
#> [13,] -0.027869637 -0.02992599 -0.035163895 -0.068618808
#> [14,]  0.094467499 -0.06881744 -0.144203375  0.074986882
#> [15,] -0.069588926  0.04782621  0.043073564  0.090027352
#> [16,]  0.078693227 -0.06606607 -0.025073616  0.033391520
#> [17,]  0.068758054  0.12494856  0.061040097  0.123030472
#> [18,]  0.023951269 -0.02292065  0.076447004  0.065890877
#> [19,] -0.165829862 -0.02596495  0.083984996  0.041608769
#> [20,] -0.098372081  0.03850773  0.135343286 -0.105064910
#> [21,]  0.008185217 -0.10107803 -0.109677538  0.015410056
#> [22,] -0.029986503  0.07287888  0.070741616  0.032089449
#> [23,] -0.127717605  0.02861396  0.001584238 -0.140547351
#> [24,]  0.128036454  0.32577811  0.134361785  0.187391534
#> [25,] -0.088514812  0.12744466 -0.009770012 -0.011544606
#> [26,] -0.009915016 -0.22908048  0.086235081  0.021659288
#> [27,] -0.271103668  0.06023084 -0.218995480 -0.341265075
#> [28,] -0.004427224  0.09537140 -0.344633662  0.176454119
#> 
#> , , 21
#> 
#>               [,1]         [,2]        [,3]         [,4]         [,5]
#>  [1,] -0.171432993  0.024012821  0.33746528  0.212266389  0.003235924
#>  [2,] -0.148449988  0.063360069 -0.22898317 -0.101359021 -0.509619288
#>  [3,] -0.175805628 -0.269844750  0.20887819  0.435110108  0.113489184
#>  [4,] -0.163159021 -0.107903476  0.07899675  0.154358743  0.003158955
#>  [5,]  0.084886347  0.139836517 -0.18536858 -0.135443400 -0.007607637
#>  [6,] -0.278824107  0.168997296 -0.03130675 -0.140815612 -0.070363069
#>  [7,]  0.360584763  0.040327741  0.31531433 -0.097257121 -0.258352790
#>  [8,]  0.047809314 -0.101371331  0.15448128  0.215078297  0.127198962
#>  [9,] -0.069554807  0.080337053  0.04213594  0.064544913 -0.038960296
#> [10,]  0.177496843  0.196398087  0.04418406  0.160654263  0.031569611
#> [11,] -0.226729374 -0.306226807  0.08840387  0.088533667 -0.033915042
#> [12,]  0.017901356  0.288830366 -0.04471151 -0.033715246 -0.028411614
#> [13,] -0.085404236 -0.150202988 -0.15881225  0.006045243 -0.111830721
#> [14,] -0.050559510 -0.089711018 -0.04146813 -0.109295171 -0.039924479
#> [15,]  0.021817356  0.007385693 -0.12984832 -0.107328864  0.067003612
#> [16,]  0.107262156 -0.014510194  0.13233211  0.121643688 -0.012998603
#> [17,] -0.279724121  0.063828465 -0.01430207  0.076582087  0.111175647
#> [18,] -0.109232733 -0.010881638 -0.12494960 -0.081103558 -0.018505676
#> [19,]  0.092282756 -0.221633517  0.09151579  0.132525319  0.053363470
#> [20,] -0.130599193  0.005852060 -0.10053480  0.066553582  0.116412450
#> [21,]  0.067076629  0.088979294  0.04541908 -0.092021982  0.035967221
#> [22,]  0.112355387 -0.005986142  0.01475243 -0.095791500 -0.038074446
#> [23,]  0.010154780 -0.412172959  0.07081092 -0.005793051 -0.184674289
#> [24,] -0.009121478 -0.053195243 -0.45842956 -0.213434009  0.088108401
#> [25,] -0.120242705 -0.146331580  0.15303144  0.129540141  0.453982636
#> [26,] -0.161728095 -0.162907277  0.14474549  0.127403859  0.080960993
#> [27,] -0.375090156 -0.141624718 -0.17311362 -0.006703698 -0.151762008
#> [28,] -0.021542659  0.056082254  0.33910670  0.149870769 -0.370367255
#>               [,6]         [,7]          [,8]         [,9]
#>  [1,]  0.071264170  0.659613914  0.6577110533  0.377026928
#>  [2,] -0.382984333 -0.100258182 -0.1389032026 -0.155231544
#>  [3,]  0.117152299 -0.083213630 -0.6834798233 -0.150921529
#>  [4,]  0.125765785  0.385748629 -0.0969012970 -0.156855581
#>  [5,] -0.170892887 -0.222436807  0.0900812581  0.019757899
#>  [6,] -0.259924409 -0.351963530  0.1461145054  0.337370373
#>  [7,] -0.001757225  0.139060229 -0.0677166799 -0.241395863
#>  [8,]  0.045728126  0.051503784 -0.0051796399  0.069267567
#>  [9,]  0.003069009  0.033398331  0.0637337882  0.052862950
#> [10,] -0.101507646 -0.036130667 -0.0735864948 -0.057537979
#> [11,]  0.139469063  0.057032581  0.0003467666  0.055836771
#> [12,] -0.186438514 -0.113050452  0.1172901279  0.075420668
#> [13,]  0.065359781  0.113909356 -0.0301637019 -0.050819137
#> [14,]  0.041521721  0.038788360  0.0021814494  0.017221190
#> [15,]  0.025393157  0.003508397 -0.0856228568 -0.023943332
#> [16,]  0.115711601  0.142121553  0.0986275195  0.019186490
#> [17,] -0.093986625 -0.109346168 -0.1244850822 -0.052777777
#> [18,] -0.035073012 -0.025151837 -0.0290102411  0.029682200
#> [19,]  0.059915079  0.010143972  0.0246572666 -0.028445590
#> [20,]  0.044322689  0.022602756 -0.1153990615  0.051257003
#> [21,]  0.124792702  0.225629261  0.0622879572  0.001091962
#> [22,] -0.104419695  0.108660326  0.1011204177 -0.046183936
#> [23,]  0.011335675 -0.108132034  0.1361037509 -0.034208065
#> [24,]  0.104396510 -0.001751889 -0.1449198095 -0.089253740
#> [25,]  0.542134495  0.434633897  0.2113019895  0.198968679
#> [26,]  0.244532477  0.245898828  0.3223836375  0.172797145
#> [27,] -0.030787335  0.109435078  0.0679530643  0.097131059
#> [28,] -0.098884816 -0.399218964  0.2780794038 -0.134002969
#> 
#> , , 22
#> 
#>              [,1]        [,2]        [,3]        [,4]         [,5]         [,6]
#>  [1,]  0.11183267 -0.07767706  0.01562542  0.30773922  0.714282553  0.613452705
#>  [2,] -0.08338708 -0.02364845  0.01565760  0.05582258 -0.616975286 -0.358390215
#>  [3,]  0.34092222 -0.25505230  0.09808615 -0.07761790 -0.197321630 -0.309001653
#>  [4,] -0.11293627  0.15453826 -0.24119916  0.08220340 -0.048257154 -0.112134410
#>  [5,] -0.05497917  0.21113977  0.01906353  0.02139035 -0.151291440 -0.106208179
#>  [6,] -0.01361394  0.02144280  0.29369597 -0.09894527  0.041715986  0.160932513
#>  [7,]  0.29286548 -0.15874355  0.03958573  0.13959513  0.304969424  0.032588098
#>  [8,]  0.05839731 -0.12490992  0.10165446  0.01903858  0.048400315 -0.005618614
#>  [9,] -0.20744025 -0.03775188 -0.28379658 -0.22292898 -0.176614554  0.030835638
#> [10,] -0.17956459 -0.34968995 -0.21924353 -0.06453192  0.090365729  0.021697244
#> [11,]  0.07675281  0.14255729  0.11207886  0.09104689 -0.031420818 -0.047826653
#> [12,]  0.11790616  0.04248390 -0.10334972 -0.09968871 -0.021143630  0.045705207
#> [13,] -0.22495933  0.15938830  0.01810179 -0.03857716 -0.028058930 -0.082568832
#> [14,]  0.04030481 -0.01624361 -0.04206238  0.08897391  0.016291960 -0.060510622
#> [15,]  0.17543917  0.09940421  0.04623669  0.21253777 -0.095488413  0.030588219
#> [16,]  0.06350959 -0.15296925 -0.08223691 -0.10316903  0.006023284 -0.105428085
#> [17,]  0.12832440  0.17225661  0.05953036 -0.03033852 -0.004889511 -0.032302120
#> [18,] -0.27364364  0.04528922 -0.22509815 -0.19038262 -0.066237584 -0.052037369
#> [19,]  0.01100929 -0.08494860  0.08794489  0.01661597  0.008421520  0.100005346
#> [20,]  0.05794086  0.10243845  0.07754716 -0.08482181 -0.109070318 -0.119725813
#> [21,] -0.23585417  0.12242237 -0.06005034  0.05624796 -0.051726002 -0.090404615
#> [22,]  0.26223189 -0.07464024 -0.09230507 -0.04636171 -0.039088451 -0.153733540
#> [23,]  0.29335393 -0.53844370  0.17097885  0.40093308  0.238696185  0.024392560
#> [24,] -0.04958079 -0.24914181  0.19347216  0.14042283 -0.065584852  0.085117452
#> [25,]  0.62385293  0.01413372  0.17826227  0.12752589  0.009624034 -0.306428400
#> [26,]  0.09086053  0.19926951  0.22778171 -0.15757797  0.150470639  0.091802995
#> [27,]  0.05693669 -0.39291388 -0.34368402 -0.36400571  0.058022844 -0.243684143
#> [28,]  0.05117115  0.05176546 -0.29230884  0.20715987 -0.233926830  0.322696959
#>               [,7]         [,8]         [,9]
#>  [1,]  0.324485386  0.153561938 -0.215608471
#>  [2,]  0.118499311  0.149866855  0.026944500
#>  [3,] -0.168339902 -0.355342356  0.314206313
#>  [4,] -0.001814956  0.195159949 -0.007749806
#>  [5,] -0.196816699 -0.023074810  0.099722601
#>  [6,]  0.028391963 -0.270980708 -0.201375938
#>  [7,] -0.035735709  0.300439525  0.113959344
#>  [8,]  0.027407037 -0.033367744 -0.029384782
#>  [9,]  0.150223549 -0.004519771 -0.030078358
#> [10,]  0.048072533  0.055310343  0.067824508
#> [11,]  0.024983247 -0.018695506 -0.108675196
#> [12,]  0.059415252 -0.011563252  0.041110664
#> [13,] -0.079457426  0.027060566  0.040128353
#> [14,]  0.031525907  0.083923481 -0.063105390
#> [15,]  0.064252116  0.190552951 -0.073844986
#> [16,] -0.064109181 -0.016384377 -0.070207274
#> [17,] -0.106058192 -0.062607873 -0.083004846
#> [18,]  0.014606332 -0.086271561  0.013758510
#> [19,]  0.079030034 -0.020221232  0.022718976
#> [20,] -0.044157507  0.020240697  0.048716508
#> [21,] -0.198277936  0.034797915 -0.049383036
#> [22,] -0.103101237  0.042466990  0.147605084
#> [23,] -0.018731631 -0.152625692 -0.020889186
#> [24,] -0.065664223 -0.283006356  0.106211709
#> [25,] -0.277172313 -0.073604184 -0.361806273
#> [26,]  0.069632293 -0.186915141 -0.071293208
#> [27,] -0.387585268 -0.352922615 -0.050260352
#> [28,] -0.048191416  0.327654744 -0.614383329
#> 
#> , , 23
#> 
#>               [,1]        [,2]         [,3]         [,4]          [,5]
#>  [1,]  0.060762571  0.24413311 -0.435903861 -0.358210579  1.284411e-01
#>  [2,]  0.197245227 -0.16541940 -0.138112550  0.198952186  1.972430e-01
#>  [3,] -0.007877336 -0.43676816  0.025920155 -0.018997118 -6.645425e-02
#>  [4,] -0.174148356 -0.45187774 -0.191340343  0.042304820 -2.211928e-02
#>  [5,] -0.310325914  0.21574332  0.225995705 -0.043419275 -1.761674e-01
#>  [6,] -0.234516150 -0.40106876 -0.099906971  0.289985575  1.044627e-01
#>  [7,]  0.196245989  0.13675299 -0.081937657 -0.148248198  1.739699e-02
#>  [8,]  0.018725404  0.01926527 -0.124345663 -0.141945128 -2.432950e-02
#>  [9,]  0.168651724  0.22154921  0.182186204  0.060995730  3.973309e-02
#> [10,]  0.052717607  0.13374796 -0.031013469 -0.068795947  1.281522e-03
#> [11,] -0.185398101  0.14108207 -0.004533536 -0.082434441 -5.678226e-02
#> [12,]  0.220979260 -0.12798249 -0.048962179  0.080515504 -4.600380e-02
#> [13,] -0.332321858 -0.08123540 -0.021447548  0.094514832  6.754797e-02
#> [14,]  0.087277560  0.26104597  0.013149145 -0.338201933  1.903941e-02
#> [15,] -0.158191597 -0.16736141  0.116556896 -0.112169049 -6.400707e-03
#> [16,]  0.125609665  0.05426986  0.067978497  0.065630819  1.359596e-01
#> [17,] -0.137361333 -0.14507474 -0.097004899 -0.028320952 -2.027614e-02
#> [18,]  0.193527860  0.10512017  0.113272070  0.031942324 -7.174180e-04
#> [19,]  0.010186872  0.04620028 -0.112566403 -0.025293515  1.187426e-02
#> [20,]  0.041985012 -0.20718010 -0.364763284 -0.076120280  1.126181e-01
#> [21,] -0.283634466  0.21749219  0.178908576 -0.009552302 -7.714140e-02
#> [22,]  0.047146293 -0.27611000  0.035083132 -0.038968604  7.446027e-02
#> [23,] -0.068593631 -0.41889276 -0.230831829 -0.275797541 -9.739274e-05
#> [24,] -0.015668867  0.08896508 -0.043319383  0.193457852  7.764060e-02
#> [25,] -0.077522064  0.05270598 -0.122665863 -0.060284805 -2.669008e-02
#> [26,] -0.500259804  0.42919797  0.069210763  0.035953308 -3.030275e-01
#> [27,]  0.220464091 -0.12107816 -0.721047702 -0.341879476  2.087269e-01
#> [28,]  0.470742279  0.33563241 -0.053125130  0.500308834  1.369150e-02
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.371585171  0.321772362  0.133161245  0.207252568
#>  [2,]  0.068689888 -0.141194961 -0.157901117 -0.230102603
#>  [3,] -0.180872457 -0.066936868 -0.143224123 -0.358103409
#>  [4,]  0.004790467  0.076671656 -0.038017649 -0.068488043
#>  [5,]  0.202830477  0.444712843  0.009783889  0.095968119
#>  [6,] -0.043241084  0.299300082  0.424539867 -0.183821244
#>  [7,]  0.077444766 -0.110501078  0.311775200 -0.126956403
#>  [8,] -0.019987325 -0.116318638 -0.026458380 -0.131379301
#>  [9,]  0.073742238  0.078666756 -0.042552183  0.140912217
#> [10,] -0.057856712  0.031336572 -0.007407363 -0.064101967
#> [11,]  0.030215138 -0.084833996 -0.036740265  0.065392078
#> [12,] -0.026091720  0.057311669 -0.056664116 -0.005588562
#> [13,] -0.100873921 -0.048112874  0.062742931  0.048946385
#> [14,]  0.113969070  0.017434339 -0.096134900  0.098149169
#> [15,]  0.006246434 -0.191521776 -0.222976343  0.116970284
#> [16,] -0.037481596  0.058348907  0.094446215 -0.042197895
#> [17,]  0.051761447  0.013824138 -0.109657726  0.053056092
#> [18,] -0.003838679  0.052447725  0.031334960 -0.072136301
#> [19,] -0.010775669 -0.006085022 -0.012265499 -0.032218816
#> [20,] -0.045446057 -0.075484984  0.065755465 -0.028836863
#> [21,] -0.068722876  0.120486041  0.012777912  0.023699678
#> [22,]  0.026488604 -0.072547855  0.117066406 -0.250342709
#> [23,]  0.192180824  0.221315251 -0.128912135  0.250365691
#> [24,] -0.150766287 -0.011024068  0.394842054  0.042351710
#> [25,] -0.188568338 -0.380887255 -0.107439918  0.099042385
#> [26,]  0.001720632  0.172548727  0.227837556 -0.121023707
#> [27,]  0.154237623  0.111455812 -0.058280414  0.179093452
#> [28,] -0.143445372 -0.577856493 -0.165723848  0.102893513
#> 
#> , , 24
#> 
#>               [,1]         [,2]         [,3]          [,4]         [,5]
#>  [1,] -0.493328662  0.170459164  0.173828379 -0.0183938379  0.018488740
#>  [2,] -0.102528306 -0.087162070  0.220607966  0.4301627365  0.397632801
#>  [3,]  0.212782731  0.113646078  0.044498484  0.0348838473 -0.362667202
#>  [4,] -0.099141434  0.342101517  0.208561736  0.0315749872 -0.162064379
#>  [5,]  0.170287747  0.095102353 -0.131115830  0.1165450485  0.002551827
#>  [6,]  0.168719710 -0.007171625 -0.258327806 -0.4193355854  0.028677138
#>  [7,]  0.192272191  0.115813434  0.234068611  0.0048047401 -0.135717564
#>  [8,]  0.178986613 -0.057317332 -0.069595803 -0.0404085400  0.092038586
#>  [9,] -0.019973030 -0.230280407 -0.119268504 -0.0029532149  0.137622596
#> [10,] -0.007228596 -0.037652144  0.129028739  0.0581948162 -0.170735887
#> [11,] -0.020159828  0.070245153 -0.223584713 -0.0136783416  0.026084895
#> [12,] -0.017948535 -0.102357021  0.215903978  0.1635203043  0.005836777
#> [13,]  0.151367824  0.003768654  0.041539769 -0.1775346748 -0.226241169
#> [14,] -0.323305962  0.155820763  0.162589903  0.1519220435  0.115181690
#> [15,] -0.007726977  0.070236543 -0.275549832 -0.0996197548  0.012759815
#> [16,]  0.171435494  0.009003050 -0.052129688  0.0435396306  0.009102985
#> [17,] -0.085756182  0.193745323 -0.113305552 -0.0443659062 -0.074418382
#> [18,] -0.044062373 -0.251319382  0.121478804  0.2112613612 -0.038455879
#> [19,] -0.076738741  0.009567932  0.036218811 -0.0459260854 -0.097000139
#> [20,]  0.113744924  0.090686177 -0.004463805 -0.0885204599 -0.084268278
#> [21,] -0.117621820  0.106167221 -0.226796714  0.0356488345  0.091036513
#> [22,]  0.203007690  0.042747287  0.112641567  0.0004181945  0.103186384
#> [23,]  0.042656108  0.132868864  0.017262070 -0.2329591433 -0.328604655
#> [24,] -0.246716886 -0.238151894 -0.088881903 -0.1618469045 -0.159956308
#> [25,] -0.107834943  0.561036921  0.006473415 -0.1342976842 -0.058995060
#> [26,] -0.041649335  0.037458267 -0.257126451 -0.0195598240 -0.041197040
#> [27,] -0.363442661  0.337701061 -0.003505517 -0.1483542088 -0.083103937
#> [28,] -0.064326135 -0.226794986 -0.064165761  0.5337896672  0.244036073
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.201319205 -0.135848237 -0.155309148  0.056802220
#>  [2,]  0.171527613 -0.235674865 -0.163530637 -0.111446086
#>  [3,] -0.532208108  0.102821647  0.303005705 -0.268967566
#>  [4,]  0.137086146  0.177632327  0.103019697 -0.038402936
#>  [5,] -0.284904359 -0.170790835 -0.048164608 -0.137379361
#>  [6,]  0.014656710  0.066274661  0.195367313 -0.037166179
#>  [7,] -0.095732694 -0.466324292  0.005646222 -0.258849462
#>  [8,]  0.065538040  0.040345652  0.026867443  0.049335287
#>  [9,]  0.061164815 -0.014525397 -0.014442965 -0.063482793
#> [10,] -0.011883964  0.030364728  0.003417707  0.021340395
#> [11,] -0.111194976 -0.179449978 -0.129996695 -0.168829232
#> [12,] -0.032534920  0.047533554  0.120438531  0.043276783
#> [13,] -0.165269698 -0.059447787 -0.049668809  0.050234721
#> [14,]  0.090121797 -0.046570791  0.030461014 -0.076567622
#> [15,] -0.044865568  0.126634079  0.114080768 -0.031201821
#> [16,]  0.184253539 -0.030567174 -0.067181954  0.043963955
#> [17,]  0.050283510  0.164520418  0.140850955  0.056956639
#> [18,]  0.008880519  0.053017308  0.015089543 -0.076187868
#> [19,] -0.070171738 -0.019519930  0.048528845  0.059177971
#> [20,]  0.048773018  0.049918378 -0.040407398 -0.034930704
#> [21,]  0.031132532 -0.101235036 -0.091365601  0.004397114
#> [22,]  0.061584017 -0.053921016 -0.161882700  0.038567752
#> [23,] -0.079565498  0.081434917  0.205122500  0.021801375
#> [24,] -0.103450284 -0.006863417  0.035566437  0.071291770
#> [25,]  0.019147434 -0.027713977  0.194795924  0.140862832
#> [26,]  0.017613933 -0.137642291 -0.329654741  0.456759067
#> [27,]  0.185849199 -0.116308177 -0.191924651  0.227336395
#> [28,]  0.202192954  0.242852130 -0.609619455 -0.741235796
#> 
#> , , 25
#> 
#>              [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.22933995 -0.223073226 -0.143311759 -0.182701019 -0.215065586
#>  [2,] -0.06567180 -0.167260359  0.101601393  0.204468186 -0.074576312
#>  [3,]  0.23877077  0.229901360  0.012859771 -0.211686643 -0.191934717
#>  [4,]  0.33878825  0.129745914  0.059943017 -0.064917394 -0.018070853
#>  [5,] -0.15167047  0.065756522 -0.017118079 -0.038347880 -0.073248129
#>  [6,] -0.02617683  0.031423367  0.205815560 -0.057913713  0.242545120
#>  [7,]  0.17743979  0.217819189  0.387655218  0.050263652  0.188007874
#>  [8,]  0.08604140  0.124332188  0.051913261 -0.025469748  0.029542171
#>  [9,] -0.04523857  0.004008311  0.053296206 -0.010446083  0.062127566
#> [10,] -0.01939784  0.101065761  0.302386448  0.185588527 -0.019833317
#> [11,]  0.13343146 -0.031409183 -0.095631021 -0.153094919 -0.097615578
#> [12,]  0.10076261 -0.118011743  0.017676347  0.032390079  0.032915474
#> [13,] -0.16609928  0.095364155  0.089185485  0.053751197 -0.051710140
#> [14,] -0.12546557  0.173382118 -0.123927599  0.017748082 -0.091460876
#> [15,] -0.02998365  0.035804714  0.007936485  0.044011223  0.006714845
#> [16,]  0.05282878 -0.126987816  0.034462561  0.066132406  0.047011096
#> [17,] -0.10185655 -0.126791973 -0.162714452 -0.053370440 -0.090314604
#> [18,] -0.04396395  0.253424055  0.162465513  0.075040840  0.045369020
#> [19,]  0.19930205 -0.104485948 -0.013350644 -0.006793052  0.006110786
#> [20,]  0.12211481 -0.057468072 -0.102388210 -0.057367464 -0.116246282
#> [21,]  0.31692251  0.109131260 -0.044610335 -0.207211462 -0.043091833
#> [22,] -0.09684861  0.108413601  0.189225924  0.108523821 -0.085832561
#> [23,] -0.05242192  0.194060734 -0.077005262  0.180062831  0.194072602
#> [24,]  0.23407637  0.236268503  0.150241649 -0.051452637 -0.032484670
#> [25,]  0.28659092  0.022381844 -0.136131882  0.123404891 -0.166286162
#> [26,]  0.44394503 -0.137200046 -0.056514322  0.001812323  0.159038282
#> [27,]  0.09905136 -0.004106580 -0.565311259 -0.458543896 -0.296065223
#> [28,]  0.11274372 -0.453726760 -0.168908822 -0.280241438 -0.566912306
#>               [,6]        [,7]         [,8]         [,9]
#>  [1,]  0.085207336 -0.39477151 -0.416113647  0.029313865
#>  [2,] -0.124279375 -0.14806551  0.128656367  0.094221219
#>  [3,]  0.294561349  0.04432102 -0.360648752 -0.315949458
#>  [4,] -0.116516990 -0.42514775 -0.248074880 -0.122257230
#>  [5,]  0.026274253  0.16622807  0.079303599  0.024017607
#>  [6,]  0.119585489 -0.19128501 -0.038272275  0.023455539
#>  [7,]  0.298477581  0.11418926  0.230007911  0.404873322
#>  [8,] -0.006493278 -0.03145088  0.002917654  0.001425595
#>  [9,] -0.219832937 -0.10749114  0.071020622 -0.071366746
#> [10,]  0.015675137 -0.04520647 -0.006493193  0.111322353
#> [11,]  0.055112919  0.02592295  0.030966467  0.002719046
#> [12,]  0.112678698  0.09234704  0.007617837  0.001695011
#> [13,]  0.060671325 -0.07398308  0.024304444  0.049709177
#> [14,] -0.218359106  0.01137860 -0.048339392 -0.083514634
#> [15,]  0.066057929  0.04197729 -0.031827536 -0.089999246
#> [16,] -0.084863448 -0.09607591 -0.033892977 -0.092200113
#> [17,] -0.009288748 -0.01726504 -0.025897033 -0.053724027
#> [18,]  0.119482700  0.09778447  0.027648980 -0.038519084
#> [19,] -0.062294566 -0.05305476  0.064041451 -0.014724754
#> [20,] -0.047694894 -0.15638192 -0.043291853 -0.022867687
#> [21,] -0.015969838 -0.00582667 -0.039048833  0.062412165
#> [22,]  0.049900801  0.03153764  0.010802758  0.102127408
#> [23,]  0.096789775 -0.28133138 -0.384523055 -0.223325484
#> [24,]  0.023529047  0.05978185 -0.119820410 -0.022676335
#> [25,] -0.205032790 -0.09273117 -0.322654347 -0.119544769
#> [26,]  0.254771505  0.25961465 -0.014441129  0.044753446
#> [27,] -0.157874202 -0.74405009 -0.366010444 -0.495230367
#> [28,] -0.381863256  0.61679821 -0.286910507 -0.201115596
#> 
#> , , 26
#> 
#>               [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.260478678 -0.046796666  0.356290055 -0.228542392 -0.448066663
#>  [2,] -0.071889579 -0.160446737 -0.079986655  0.017082237  0.169826127
#>  [3,]  0.313318573 -0.259678987 -0.599329605 -0.240916410  0.131790548
#>  [4,] -0.131744545  0.298361611  0.193219130 -0.202785328 -0.117976333
#>  [5,] -0.136373137 -0.073194381 -0.170599877  0.153617989  0.152318877
#>  [6,] -0.068269799 -0.123030340  0.293947885 -0.164679535 -0.076584074
#>  [7,]  0.348961784  0.133080299  0.087998794 -0.032589388  0.248500099
#>  [8,]  0.111722125 -0.112351233 -0.134678313 -0.073749771  0.120830596
#>  [9,] -0.213062765  0.196398347 -0.071218257  0.080271786 -0.007925600
#> [10,]  0.263074618 -0.165073576 -0.059575241  0.086489990  0.220551096
#> [11,]  0.079022321 -0.111476625 -0.117329461 -0.085915117  0.056399559
#> [12,] -0.090800216 -0.088221409  0.214113510  0.363046143  0.006581992
#> [13,] -0.015646839  0.137623772 -0.040879415 -0.112013645  0.031967981
#> [14,]  0.018177042  0.191256061 -0.012397840 -0.190877465  0.066638267
#> [15,] -0.122827166 -0.242431411  0.070694542 -0.038456836 -0.091872961
#> [16,]  0.144941374  0.015226620 -0.020331653 -0.008359426  0.134329275
#> [17,] -0.193475316 -0.260662786  0.072606359  0.108123238  0.069995176
#> [18,]  0.046352418  0.255742645 -0.107838720  0.034127627  0.069749965
#> [19,]  0.251009494 -0.067326097  0.133527341  0.075694988  0.106128993
#> [20,] -0.251788572  0.129396698  0.063215122 -0.079918015 -0.036207460
#> [21,] -0.146508053 -0.002801883  0.061551526  0.149499554  0.066981747
#> [22,]  0.291921338 -0.242233662  0.108583920 -0.086635398  0.100773080
#> [23,]  0.064154036  0.053466795 -0.021720317 -0.185157094  0.058755722
#> [24,] -0.005219974 -0.248947638 -0.123833701 -0.106281658  0.110277315
#> [25,]  0.107634685 -0.444802366 -0.137720838 -0.119996400  0.109614106
#> [26,] -0.024979323 -0.049079248 -0.171356872  0.128325017 -0.051650365
#> [27,] -0.096740301  0.034000149 -0.004568001 -0.271071110 -0.038971104
#> [28,] -0.074158353 -0.170186075 -0.033070993 -0.255778129 -0.673350581
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,] -0.140718779 -0.279211453  0.250855379  0.436643990
#>  [2,]  0.094401135  0.045898827 -0.233800745 -0.138010367
#>  [3,]  0.190848584  0.301272882 -0.062340797 -0.001872408
#>  [4,]  0.030386457  0.283141544  0.233405770  0.198289372
#>  [5,] -0.021000277 -0.109115453  0.120866605  0.013102407
#>  [6,] -0.209129141 -0.089444287 -0.172597980  0.079212188
#>  [7,]  0.273389192  0.164581244  0.097375876  0.005823378
#>  [8,] -0.071154174 -0.203263779 -0.170434270  0.196367876
#>  [9,]  0.323415717  0.297004519  0.164475651  0.030572308
#> [10,]  0.006735026 -0.043160654 -0.087011880 -0.002366081
#> [11,]  0.015330470  0.091027764  0.109911731 -0.064287423
#> [12,] -0.100548742 -0.126226337 -0.016725459 -0.105338885
#> [13,] -0.034083267  0.111195599  0.005420851  0.020070448
#> [14,]  0.086247521  0.094609307  0.034663985  0.081145406
#> [15,]  0.021930010 -0.050811774 -0.003349631  0.194499522
#> [16,] -0.001779700  0.120873189  0.050079448 -0.005672461
#> [17,] -0.126958725 -0.126969394 -0.007090956 -0.012126508
#> [18,] -0.065953809 -0.052378498 -0.059594896  0.011653460
#> [19,]  0.148105199  0.046259568 -0.063397223 -0.005764043
#> [20,] -0.049656484  0.028829488  0.034845587  0.017849881
#> [21,]  0.027285895  0.120833347  0.055243708 -0.077570254
#> [22,]  0.065071402 -0.210517982 -0.158889921  0.008874198
#> [23,]  0.025108183  0.270535670  0.689853981  0.220400660
#> [24,]  0.094696437 -0.082983354 -0.150421705 -0.024760083
#> [25,]  0.402794098  0.192655400  0.100071488 -0.030785668
#> [26,] -0.045233885 -0.002928724  0.075766578 -0.048334765
#> [27,] -0.166232222 -0.307895555 -0.354167489 -0.142685066
#> [28,]  0.251807753  0.819585452 -0.002812983  0.103457381
#> 
#> , , 27
#> 
#>               [,1]         [,2]        [,3]          [,4]         [,5]
#>  [1,] -0.053802843 -0.463258176  0.22136310  0.4721710706  0.194614253
#>  [2,] -0.087627936  0.163469976 -0.12868186  0.1095986666  0.049821947
#>  [3,]  0.080972788  0.185801752  0.15038188 -0.0859699516  0.022890382
#>  [4,]  0.090006719 -0.169091815  0.12025569  0.5262632758  0.050086805
#>  [5,]  0.021199927  0.514239687 -0.04782484 -0.0884444768 -0.109177710
#>  [6,]  0.090893520  0.204070689  0.09862502  0.1260024671  0.329488101
#>  [7,] -0.134947491 -0.165883731 -0.32798198 -0.6139922655 -0.365401655
#>  [8,]  0.089796811 -0.202696087  0.05759739 -0.0934693183  0.110182808
#>  [9,]  0.044999884  0.475427857  0.02949004 -0.1280452303  0.093152045
#> [10,]  0.151573932 -0.026052999 -0.12794813 -0.3728231509 -0.011862195
#> [11,]  0.104673488  0.173007020  0.11064290  0.0431392556 -0.141728427
#> [12,]  0.064719290 -0.127277313  0.08799246 -0.0132966690  0.018744099
#> [13,] -0.073790392 -0.008454063 -0.14281626 -0.1691426861 -0.087404682
#> [14,]  0.130168913 -0.076634736 -0.08032215  0.0179998973 -0.006661802
#> [15,]  0.126717410 -0.172425967  0.10857297  0.3435991107  0.007988409
#> [16,] -0.014586940  0.299549480 -0.08607673 -0.1700127952 -0.032176411
#> [17,]  0.143091283 -0.021367986  0.11672287  0.1120078150  0.123494487
#> [18,] -0.108540121 -0.107241134 -0.04165620 -0.0001979483 -0.066612477
#> [19,] -0.124887582 -0.015849374  0.10813610  0.1259489813  0.111649677
#> [20,] -0.068321649 -0.013500287 -0.06012667  0.0265267495 -0.163102423
#> [21,] -0.129487443  0.062819721  0.00156472  0.1488399830  0.046272890
#> [22,]  0.430671012 -0.038737044  0.16444953 -0.0702746859 -0.090113678
#> [23,] -0.303216142 -0.263612255  0.14876576  0.0717191495 -0.013391080
#> [24,]  0.036544324  0.300150023  0.21866680  0.0835083071 -0.152279684
#> [25,] -0.185539355  0.029045193  0.26375789  0.3191333093  0.287085732
#> [26,] -0.374572673 -0.069390418 -0.15039464  0.1275466449 -0.174837613
#> [27,]  0.007432339  0.124022182  0.34982570  0.2812520320 -0.068577901
#> [28,] -0.209193260 -0.457008489 -0.07666754 -0.1121005835  0.043872779
#>               [,6]          [,7]          [,8]         [,9]
#>  [1,]  0.268848754 -4.451596e-02 -0.2853989759 -0.196345049
#>  [2,] -0.035242342  2.991339e-05  0.2820854207  0.018656405
#>  [3,]  0.095055160 -1.767637e-01  0.0297486202 -0.350276252
#>  [4,] -0.206680928 -1.183030e-01 -0.1773127651 -0.330832851
#>  [5,] -0.209257318  4.385972e-02  0.1632938067 -0.155990572
#>  [6,] -0.066851079  4.735135e-02  0.1282155194 -0.018629370
#>  [7,] -0.246053671 -1.772610e-01 -0.3241326575  0.053828385
#>  [8,]  0.002898080 -1.101691e-01 -0.0496985082 -0.004480751
#>  [9,]  0.210456751  1.073857e-01  0.0758117736  0.270668656
#> [10,] -0.024398762  2.826671e-02  0.0891902565 -0.006051819
#> [11,] -0.007644061  4.909188e-02 -0.0892775497 -0.011019951
#> [12,]  0.005848423  2.969067e-02  0.0163023879  0.090627475
#> [13,] -0.074753009 -6.520507e-02 -0.0626639697 -0.039471463
#> [14,] -0.061963270  5.051482e-03  0.0155116479  0.037133332
#> [15,]  0.052631337  8.452180e-02  0.1319711220 -0.072315182
#> [16,] -0.037733609 -5.471337e-02 -0.0079408818  0.112170419
#> [17,]  0.135768035  6.278204e-02  0.0914111280 -0.012263995
#> [18,] -0.047232971 -3.100434e-02  0.0668775635  0.074957364
#> [19,]  0.150009019  1.037443e-01 -0.0003430274 -0.023712200
#> [20,] -0.231138338 -1.404264e-01 -0.0832546225 -0.077597407
#> [21,]  0.116912321  6.932733e-02  0.2053519720  0.126781525
#> [22,] -0.123888774 -9.436199e-02  0.1979832431  0.059777126
#> [23,]  0.214159012 -4.884961e-02 -0.3222120135  0.087603619
#> [24,] -0.044229082  1.498119e-01  0.0103635724 -0.095392177
#> [25,]  0.151355284  2.355413e-01 -0.0882497880  0.039722918
#> [26,] -0.034348194  1.410006e-01  0.2438724310  0.056354859
#> [27,] -0.049060994 -3.718807e-03  0.0227405349  0.056719553
#> [28,]  0.059437513  4.728125e-02 -0.3415305147  0.124102525
#> 
#> , , 28
#> 
#>               [,1]         [,2]        [,3]         [,4]         [,5]
#>  [1,] -0.032178024 -0.127375070  0.04609532  0.152297166 -0.639714910
#>  [2,] -0.133465807  0.133767310 -0.08069353  0.137762326 -0.040921497
#>  [3,] -0.431762990  0.463325822  0.27922441  0.235436270  0.120735054
#>  [4,]  0.248597863 -0.040489110  0.02168144  0.144867898 -0.455611790
#>  [5,] -0.013840755 -0.088057245 -0.01660661 -0.104226899  0.077526111
#>  [6,]  0.260980642  0.133497672  0.02226245 -0.077316545  0.185353258
#>  [7,] -0.138799263  0.539906712  0.10965184  0.070499870  0.061427668
#>  [8,]  0.102140728 -0.053794536  0.08343369  0.140705157  0.089983855
#>  [9,] -0.089548348  0.091444180 -0.14337221 -0.076998323  0.113503840
#> [10,] -0.179121604 -0.161661888  0.01316492  0.231220821 -0.101960677
#> [11,]  0.002029146  0.241733251 -0.10079659 -0.055732978  0.099625178
#> [12,] -0.028833108 -0.181209835 -0.02590674  0.071805235 -0.076532224
#> [13,]  0.042553330  0.017275432  0.01330313  0.054992347 -0.040962939
#> [14,] -0.053572081  0.004197641  0.06723756 -0.157611157 -0.007154635
#> [15,]  0.219338449 -0.203965796 -0.01664246 -0.126488080 -0.178233447
#> [16,] -0.160972492  0.239643309  0.11779368  0.190957155  0.214824286
#> [17,]  0.084896057 -0.030570000 -0.20811647 -0.162828367 -0.123703464
#> [18,] -0.039185742 -0.145308062  0.05808460  0.018532437  0.018691974
#> [19,] -0.176844344  0.158357307 -0.10877881 -0.096932396 -0.107225948
#> [20,]  0.111057803 -0.417559008 -0.03177530  0.022582024 -0.010260756
#> [21,] -0.033459796  0.168813912 -0.08246945 -0.204110849  0.133268215
#> [22,]  0.209621369  0.213798684  0.12231122  0.148775083 -0.065015555
#> [23,] -0.307476951 -0.004782878 -0.16750067 -0.016061150 -0.111997854
#> [24,] -0.220475945 -0.043001614 -0.47830241 -0.328624020  0.125899318
#> [25,] -0.252678324  0.290318236  0.05404210  0.003787613 -0.242109736
#> [26,]  0.043321515  0.017753486  0.18294007 -0.172835726 -0.146063199
#> [27,] -0.369145539  0.116821677 -0.10161446  0.188347160 -0.693204446
#> [28,]  0.813424221 -0.392613988 -0.36822188  0.399912980  0.581667950
#>               [,6]         [,7]        [,8]          [,9]
#>  [1,]  0.104294506  0.238554918 -0.17108016  0.1501469427
#>  [2,] -0.307247648  0.053954327  0.25610847  0.3454350191
#>  [3,]  0.319884529  0.037158128  0.52055822 -0.0496040751
#>  [4,] -0.283486649 -0.041227401  0.05610002 -0.0706898628
#>  [5,]  0.076093704 -0.115683512  0.02451164 -0.1342875492
#>  [6,]  0.236237943  0.092721626 -0.23596616 -0.2771776907
#>  [7,]  0.137776064  0.233787611 -0.25671485  0.0449191158
#>  [8,]  0.002600313 -0.029249296  0.03310276 -0.0427476663
#>  [9,] -0.068415068 -0.029581455 -0.08164503 -0.1891929014
#> [10,] -0.021389189 -0.089676474 -0.10383897  0.0067478734
#> [11,] -0.015275249 -0.005121498  0.07065043 -0.0349417696
#> [12,]  0.018280050 -0.022690234 -0.02049964 -0.0194475999
#> [13,] -0.115523653 -0.074628570 -0.01478206  0.0633783270
#> [14,] -0.126329519 -0.014322302 -0.03514747 -0.0008190171
#> [15,] -0.143767836 -0.012184791 -0.02564868  0.0548809331
#> [16,]  0.106814876  0.045581779 -0.01515665  0.0368992604
#> [17,]  0.016662809  0.098264779  0.00177444 -0.0091545467
#> [18,]  0.062208934 -0.095806528 -0.08868957  0.0075894815
#> [19,] -0.103772720 -0.042954080  0.03157190  0.0714679792
#> [20,]  0.161617036  0.095939456  0.03150093 -0.0224310610
#> [21,]  0.058589249 -0.038686133 -0.09475394 -0.0037183774
#> [22,] -0.023510936 -0.002728662 -0.08840101  0.0313758663
#> [23,]  0.162304292  0.094096022  0.08139185 -0.0143102558
#> [24,] -0.150709045 -0.148083843  0.10267162 -0.0590408726
#> [25,] -0.185692160 -0.030510648  0.16606775  0.1960170592
#> [26,]  0.050517790 -0.207831842 -0.31616283  0.1327122054
#> [27,] -0.404562368 -0.292025100 -0.26665254 -0.5798210786
#> [28,]  0.496635401  0.106863714  0.33924834 -0.1879176819
#> 
#> 
#> attr(,"class")
#> [1] "Tensor3"