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,]  0.6526667 -1.0896211  2.6830697 1.0265626
#> [2,] -1.5383844  0.1740326  2.0563814 0.6751539
#> [3,]  1.5357167  1.1396539 -0.2351641 1.2100105
#> 
#> , , 2
#> 
#>           [,1]       [,2]      [,3]        [,4]
#> [1,] 0.3066467  0.4590346 1.4586194 -0.87562958
#> [2,] 1.3359163 -0.5604105 1.4884672  0.33319878
#> [3,] 1.3557884 -2.0639590 0.7363348 -0.05606527
#> 
#> , , 3
#> 
#>            [,1]        [,2]        [,3]       [,4]
#> [1,] -1.4509479 1.295597602  0.43998161 -0.4926560
#> [2,] -1.4616837 1.463482732  1.32663788 -0.1007011
#> [3,] -0.7922854 0.009588493 -0.04490527  1.2147365
#> 
#> , , 4
#> 
#>            [,1]        [,2]      [,3]       [,4]
#> [1,]  0.3860000 -0.46541511 1.8832346  0.5150528
#> [2,] -0.1623570 -0.30446930 0.3943019 -1.5648926
#> [3,] -0.6253358  0.02321297 0.4555854 -1.2459334
#> 
#> , , 5
#> 
#>            [,1]       [,2]       [,3]      [,4]
#> [1,] -1.4640333 -0.1091293 -1.4414021 0.4893841
#> [2,] -0.2925442 -0.3253811  0.6944944 1.0749331
#> [3,]  0.1087961  0.6314550 -1.2050238 0.2448796

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,] 2.551273  1.4349246 -1.0593798 -1.6346104 -1.9728826
#> [2,] 1.890034  0.1723344  0.4519755 -1.5470803  0.1842720
#> [3,] 1.618717 -0.2183948  0.6637939 -0.9615918  0.9088757
#> 
#> , , 2
#> 
#>            [,1]       [,2]       [,3]      [,4]      [,5]
#> [1,] -1.1594394  1.1325748 -1.1610836 -2.178811  2.986677
#> [2,]  4.4143900  0.2099857 -0.3183987 -2.230693 -1.226015
#> [3,]  0.5824986 -2.2912559 -0.9756149  1.862232  2.206508
#> 
#> 
#> 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 -2.812138e-16 -1.725629e-17
#> [2,] -1.469802e-17  1.414214e+00 -9.297046e-17
#> [3,] -1.642554e-16 -2.303829e-16  1.414214e+00
#> 
#> , , 2
#> 
#>               [,1]         [,2]          [,3]
#> [1,]  4.440892e-16 1.870518e-16 -1.548003e-17
#> [2,] -2.604268e-18 0.000000e+00 -6.488855e-17
#> [3,] -4.004137e-17 2.590845e-16  0.000000e+00
#> 
#> 
#> 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,]  0.4328524  0.5563058 -0.23551682 -0.2358421 -0.5036247
#> [2,] -0.2938598 -1.0714200 -0.98734676 -0.4488599  0.8097744
#> [3,] -0.1086021 -1.4698757 -0.04127378 -0.3702015  0.9870754
#> 
#> , , 2
#> 
#>            [,1]       [,2]       [,3]       [,4]      [,5]
#> [1,] -0.5167104 -1.1108181  1.1573558  1.2883883 -1.436665
#> [2,]  0.2109874  0.3402096 -0.7229602 -1.1247580  1.256439
#> [3,] -0.5843409 -0.9948566  0.1233140  0.6783927 -0.862477
#> 
#> 
#> attr(,"class")
#> [1] "Tensor3"
t_tpose(A,"dct")
#> $modes
#> [1] 5 3 2
#> 
#> $data
#> , , 1
#> 
#>            [,1]       [,2]        [,3]
#> [1,]  0.4328524 -0.2938598 -0.10860208
#> [2,]  0.5563058 -1.0714200 -1.46987575
#> [3,] -0.2355168 -0.9873468 -0.04127378
#> [4,] -0.2358421 -0.4488599 -0.37020150
#> [5,] -0.5036247  0.8097744  0.98707543
#> 
#> , , 2
#> 
#>            [,1]       [,2]       [,3]
#> [1,] -0.5167104  0.2109874 -0.5843409
#> [2,] -1.1108181  0.3402096 -0.9948566
#> [3,]  1.1573558 -0.7229602  0.1233140
#> [4,]  1.2883883 -1.1247580  0.6783927
#> [5,] -1.4366647  1.2564391 -0.8624770
#> 
#> 
#> 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,]  0.000000e+00+2.960595e-16i 3.330669e-16+2.220446e-16i
#> [2,]  0.000000e+00-4.440892e-16i 1.526557e-16-3.608225e-16i
#> [3,] -4.440892e-16-1.480297e-16i 1.776357e-15+2.960595e-16i
#>                             [,3]
#> [1,]  2.220446e-16+1.480297e-16i
#> [2,]  3.608225e-16-1.480297e-16i
#> [3,] -1.110223e-16+0.000000e+00i
#> 
#> , , 2
#> 
#>                             [,1]                        [,2]
#> [1,]  2.220446e-16-3.095575e-16i -1.110223e-15-2.129899e-16i
#> [2,] -2.220446e-16+4.727456e-16i  8.881784e-16+6.441853e-16i
#> [3,] -3.330669e-16+1.507882e-16i -1.776357e-15-2.784499e-16i
#>                             [,3]
#> [1,]  9.992007e-16-1.258237e-16i
#> [2,] -2.775558e-16+1.584691e-16i
#> [3,] -8.881784e-16-1.281290e-17i

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,] -5.551115e-16  1.110223e-16 -8.326673e-17
#> [3,]  1.276756e-15 -1.110223e-15  1.748601e-15
#> 
#> , , 2
#> 
#>               [,1]         [,2]          [,3]
#> [1,]  0.000000e+00 0.000000e+00  0.000000e+00
#> [2,] -6.661338e-16 0.000000e+00  1.554312e-15
#> [3,]  1.332268e-15 4.440892e-16 -6.217249e-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,] -1.110223e-16  0.000000e+00  2.220446e-16
#> [2,]  1.942890e-16  0.000000e+00  1.110223e-16
#> [3,]  1.665335e-16 -1.110223e-16 -4.440892e-16
#> 
#> , , 2
#> 
#>               [,1]          [,2]          [,3]
#> [1,]  0.000000e+00  1.110223e-16  1.977585e-16
#> [2,] -2.220446e-16  2.220446e-16  0.000000e+00
#> [3,]  0.000000e+00 -2.775558e-17 -1.110223e-16

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,]  0.37250925 -0.144596150 -0.03132025  0.0248543519  0.0952367856
#>  [2,] -0.25604800  0.241375484  0.20546438  0.0154769429 -0.1190796965
#>  [3,]  0.10883541 -0.309027904  0.07533626 -0.0219204839 -0.2763117749
#>  [4,] -0.10791886  0.248207560  0.00828188  0.0561150352  0.0344321390
#>  [5,] -0.13649577 -0.044784519  0.15329085  0.2313137025  0.2486444156
#>  [6,]  0.61034907 -0.022082253  0.16800991  0.3423697958  0.1782626958
#>  [7,] -0.25767751 -0.022225283 -0.10548577 -0.1085534067  0.0902156126
#>  [8,]  0.25521337 -0.031734274  0.02506066 -0.0204402009 -0.1332452519
#>  [9,] -0.38094040 -0.013008895 -0.06295505  0.0222676633 -0.0382119913
#> [10,] -0.01057281 -0.304608269 -0.08079097 -0.0934715418 -0.0216597501
#> [11,] -0.08334966  0.269344203 -0.13692742 -0.0686538344  0.0003548703
#> [12,]  0.20774054 -0.078715322  0.07602182  0.0218626156 -0.0862212946
#> [13,] -0.20764143  0.098805540 -0.04985159 -0.0833557178 -0.0550789474
#> [14,] -0.13810347 -0.177880346 -0.02851924  0.0624005600  0.0642705854
#> [15,]  0.18758802 -0.020826462  0.02426235  0.0297791397 -0.0900772250
#> [16,]  0.06174734  0.060341914 -0.15883634 -0.0574416862  0.0759035915
#> [17,]  0.08721113  0.024899431 -0.01108143 -0.0160097976 -0.0790401194
#> [18,] -0.14671331 -0.211509714 -0.12004746 -0.0004118486  0.0233878886
#> [19,]  0.09997549  0.133002647 -0.03835771 -0.1970546137 -0.0426308645
#> [20,] -0.38801607 -0.090729186  0.12700604  0.0087438428 -0.1417271818
#> [21,]  0.42836729  0.138026552 -0.14873316 -0.0251668586  0.1374330773
#> [22,] -0.00962308  0.007673551 -0.13189371 -0.2101214882 -0.0735144561
#> [23,] -0.11749120  0.454437390  0.63188287  0.6483583745 -0.1125494441
#> [24,]  0.14165449  0.009666982 -0.26255744  0.0761622370  0.1985093954
#> [25,]  0.36656933  0.283754857  0.07389729  0.0622171289  0.1108328021
#> [26,]  0.15618629  0.187985273 -0.04517762 -0.0142487649  0.0550563956
#> [27,] -0.15427866 -0.012128071  0.16419038  0.2740963195  0.0543281735
#> [28,] -0.46580708  0.032878056 -0.01964089 -0.1790712933 -0.4116266563
#>               [,6]          [,7]          [,8]          [,9]
#>  [1,]  0.032763024 -0.0912353009 -0.0366956342  2.210331e-03
#>  [2,] -0.072315668  0.0815142412  0.0621093824  7.795092e-03
#>  [3,] -0.068022455  0.2507987676 -0.2409904765 -2.659120e-01
#>  [4,] -0.019687395  0.0246720053  0.0329072635 -5.497391e-02
#>  [5,]  0.155677930 -0.0384867858 -0.2290903124 -4.253484e-02
#>  [6,]  0.230874520  0.0115029777  0.1607345209  1.303462e-01
#>  [7,]  0.100215978  0.0362467409  0.3825692381 -3.332389e-01
#>  [8,] -0.054452830 -0.0245855048  0.2473365721  1.344400e-01
#>  [9,] -0.056859026 -0.0008873183  0.2019642123  3.187116e-02
#> [10,] -0.017126960 -0.0123393251 -0.1844274832 -1.465803e-01
#> [11,] -0.065901866  0.0657398512  0.1348844953  2.951386e-02
#> [12,] -0.025981121  0.0375716043 -0.0547346463 -8.958768e-03
#> [13,] -0.092996856  0.0462783720  0.0490275249 -3.545019e-02
#> [14,]  0.012690546  0.0144539374 -0.0049483789  8.897691e-02
#> [15,] -0.009125732  0.0559957188  0.0219847809  2.748739e-02
#> [16,]  0.007991979  0.0378401113  0.1436433111  8.907424e-02
#> [17,] -0.099978018  0.0616731744 -0.0109043748  3.491967e-02
#> [18,] -0.069765272 -0.0730773294 -0.0201503149 -3.092766e-02
#> [19,] -0.015548677 -0.0624588511 -0.0383954029  2.233258e-05
#> [20,] -0.090658110  0.0423063481  0.0804927631  9.057748e-03
#> [21,]  0.157038207  0.0867782984 -0.0696509723  2.201521e-02
#> [22,] -0.007647804  0.0425562906 -0.0321098616 -1.384556e-01
#> [23,] -0.263030170 -0.2758234949  0.3880310676  5.146754e-01
#> [24,]  0.113332292  0.4049005561  0.6897476702  1.376679e-01
#> [25,]  0.130955630  0.0911074403 -0.1879927921  2.624040e-02
#> [26,]  0.055322607  0.0497627108  0.0004012571  5.095260e-02
#> [27,]  0.134755960  0.1476382033  0.2475515158  2.188987e-01
#> [28,] -0.189626357  0.2256524997  0.1200146727 -6.948124e-02
#> 
#> , , 2
#> 
#>               [,1]         [,2]        [,3]         [,4]         [,5]
#>  [1,] -0.260955838 -0.080139417 -0.06415067  0.022172050 -0.194953991
#>  [2,] -0.351847868 -0.169198875  0.02616667 -0.003201900  0.021093152
#>  [3,]  0.169556634 -0.181980659 -0.45793147  0.264658621  0.136965663
#>  [4,]  0.134203827  0.085645270  0.03540206  0.040359122  0.158939797
#>  [5,]  0.319943213 -0.076554975 -0.07285507  0.271352430  0.118304150
#>  [6,] -0.437165074 -0.038667601  0.03005992  0.040291656  0.015117042
#>  [7,]  0.005472007  0.312703817 -0.03262320 -0.386465446 -0.217256827
#>  [8,]  0.080790239  0.094818820 -0.13234857  0.194954213 -0.130969786
#>  [9,] -0.022848324  0.141722690  0.20087911 -0.005418248 -0.076209726
#> [10,] -0.060058242 -0.109537298  0.04080278  0.120914880  0.031420535
#> [11,]  0.039115973 -0.082388898 -0.02608899 -0.046299969  0.048462381
#> [12,]  0.064815484  0.079540068 -0.11651508 -0.077943845  0.053543679
#> [13,]  0.034731411  0.074009573 -0.04889693  0.008101474 -0.005946126
#> [14,]  0.045784981 -0.092283725 -0.00999445 -0.062174533  0.010373037
#> [15,]  0.059257849 -0.107544932 -0.06506978  0.045864573  0.030595884
#> [16,] -0.279238344 -0.015153787  0.05047715  0.040024600 -0.007906803
#> [17,]  0.112710717  0.029821068 -0.02992430  0.004058806 -0.095133469
#> [18,]  0.111522939 -0.052196404  0.09411817  0.059491212 -0.022827416
#> [19,]  0.093021739  0.006487964 -0.09516986  0.006844115  0.117167266
#> [20,] -0.261297299 -0.030406442  0.15729384 -0.173809904 -0.134951386
#> [21,]  0.008764700  0.027354812 -0.05810160 -0.007975719  0.010410989
#> [22,] -0.005135251 -0.072374254 -0.15716558 -0.117619068 -0.099527817
#> [23,] -0.069788840  0.303932303  0.26567404 -0.516699147 -0.205945477
#> [24,] -0.162908901  0.010169525 -0.15171764  0.015358581  0.266731004
#> [25,] -0.298287296  0.070349158  0.01552798 -0.018982091  0.159717261
#> [26,] -0.054672338 -0.191936136 -0.07615293 -0.142322297 -0.027545375
#> [27,]  0.273898196  0.098646516  0.18286196 -0.002820033  0.198379955
#> [28,] -0.211441547 -0.009478356 -0.11271551  0.155421345  0.106969296
#>                [,6]         [,7]         [,8]          [,9]
#>  [1,] -0.1363036988 -0.121753348 -0.083744800  0.2162411411
#>  [2,] -0.0460823178 -0.106959259 -0.015814560  0.1920625825
#>  [3,]  0.5994835096  0.415376612  0.113100575 -0.3862083940
#>  [4,]  0.1669894943  0.050598495 -0.048786825  0.0295490824
#>  [5,]  0.0875569939  0.102204416  0.061798152 -0.0002265188
#>  [6,] -0.0603289894 -0.014777484  0.217922704  0.1620376747
#>  [7,]  0.2370506449  0.234453183  0.251964339  0.2486598936
#>  [8,] -0.0598402251  0.016001858  0.008250362 -0.1352000344
#>  [9,] -0.0005693434 -0.153326013  0.002881604 -0.0694958339
#> [10,] -0.1569543904  0.027684018 -0.030733131 -0.0161471560
#> [11,]  0.0128334713  0.008964487 -0.075677386 -0.0741842582
#> [12,] -0.0009719770 -0.077310737 -0.004994033 -0.0090790313
#> [13,]  0.0406666252  0.088098804 -0.046056201 -0.0214748858
#> [14,]  0.0418253448  0.050001146  0.073005455  0.0883382057
#> [15,]  0.0549426641 -0.154203681  0.032391483 -0.0046534693
#> [16,]  0.0876369412  0.300275927  0.146718026  0.0718600633
#> [17,] -0.1451538536 -0.087827406  0.146660385 -0.0591193253
#> [18,]  0.0162397048  0.115190496 -0.022426764 -0.0817710870
#> [19,] -0.0011767731  0.030266067  0.019221915  0.0222897808
#> [20,]  0.0528306278  0.049305625  0.092664859  0.0495754962
#> [21,] -0.0711994848  0.050661693  0.089191932  0.0043687921
#> [22,] -0.0214608279  0.003128390  0.023742924 -0.0593196653
#> [23,]  0.2614976499  0.073187473  0.828007056  0.5122333350
#> [24,]  0.3188011596 -0.191097927 -0.284850405  0.4097582964
#> [25,]  0.1141754106 -0.045733922  0.171043293 -0.0094626451
#> [26,] -0.0713884381 -0.055834097 -0.097573839 -0.0950244532
#> [27,]  0.3012374230  0.172443180 -0.142804147  0.1449478688
#> [28,] -0.0896002828 -0.011361103 -0.203245362 -0.1338796444
#> 
#> , , 3
#> 
#>                [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.4604153326 -0.034117895  0.145992243 -0.037418994 -0.091458118
#>  [2,] -0.0559072407 -0.024068205 -0.051272129  0.224063093  0.046984274
#>  [3,]  0.1039681030 -0.031790367  0.103426194  0.298341139 -0.459828180
#>  [4,]  0.1515933368 -0.017052079 -0.041313712  0.039070837  0.132656945
#>  [5,]  0.1406749800  0.155673534  0.263706988  0.007384970  0.033153351
#>  [6,]  0.3091184192 -0.171927632 -0.114026780 -0.002155504  0.047478515
#>  [7,]  0.2090841878  0.214091144 -0.160884093 -0.122715668  0.405777625
#>  [8,] -0.1612897266 -0.162296171  0.172722337 -0.154909383  0.003198235
#>  [9,]  0.3821668545 -0.010760974  0.224078431  0.172759636 -0.026027338
#> [10,] -0.1714840822 -0.110251944 -0.108832899 -0.019193145  0.026908430
#> [11,]  0.0139337618 -0.128961220 -0.051229260 -0.037141202 -0.078645901
#> [12,]  0.0004982277  0.400785235  0.119766375  0.219637526  0.013726087
#> [13,] -0.0101176362 -0.058640697  0.066263365  0.032610569  0.004803277
#> [14,] -0.0667139941  0.038199731 -0.001786431 -0.026951500 -0.100357791
#> [15,] -0.0306363847 -0.006770435 -0.022550902 -0.087740666 -0.146583372
#> [16,] -0.0302139384 -0.077607359  0.049667635  0.129146002  0.086294884
#> [17,] -0.0427887660  0.015143884 -0.065717686 -0.035182799  0.004187941
#> [18,] -0.2126717200 -0.184950232 -0.027203807 -0.017436186  0.070767129
#> [19,]  0.0518308551 -0.096814183  0.135764852 -0.005567537 -0.082679698
#> [20,]  0.0646841445  0.386043107 -0.082021363 -0.106535223  0.012926800
#> [21,] -0.2285209443 -0.027554206  0.106100641 -0.104270771 -0.182066572
#> [22,] -0.1060540060 -0.172676812 -0.005645768  0.022501869  0.024206478
#> [23,] -0.3184574954  0.562565017  0.100236462 -0.428498928 -0.232978608
#> [24,] -0.0815573090 -0.034957448  0.352980810  0.027331478 -0.153765697
#> [25,]  0.0040688214  0.164607300 -0.043619439  0.183501965  0.003908874
#> [26,] -0.0006917800 -0.014971024  0.107117308  0.071857992 -0.050336422
#> [27,]  0.3178603698  0.298662580  0.162246527  0.222994614  0.058421948
#> [28,]  0.1516623427 -0.043206703 -0.013864353 -0.123508395 -0.004599418
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.088977805 -0.130066747 -0.158489340 -0.217375823
#>  [2,] -0.001006607 -0.039473906 -0.217365767 -0.162866426
#>  [3,]  0.182529557  0.214770291 -0.166593870 -0.700425131
#>  [4,]  0.072809964  0.092220988 -0.061586522 -0.052266790
#>  [5,]  0.079666993  0.114083186  0.107190179 -0.043091689
#>  [6,]  0.018782069 -0.040742185  0.027908403  0.104014034
#>  [7,] -0.085209244  0.049477502 -0.141983371  0.085128419
#>  [8,]  0.320654315 -0.117727299 -0.175902367  0.093538418
#>  [9,]  0.097306566  0.034107721 -0.176589092  0.083382866
#> [10,]  0.072312705  0.061550508  0.007030128 -0.005061163
#> [11,] -0.019910961 -0.051605819 -0.036151710  0.046717114
#> [12,]  0.072142622  0.145627223  0.006873988 -0.022392649
#> [13,] -0.071116175 -0.003682347 -0.044032539 -0.003979432
#> [14,] -0.012259121  0.021616374 -0.013055506 -0.040355010
#> [15,] -0.185814561  0.138822784 -0.018451758 -0.042090175
#> [16,]  0.047634696  0.014406705  0.014685230  0.035418283
#> [17,]  0.145040842  0.107111519  0.117516710 -0.041174937
#> [18,]  0.096526248  0.075391483  0.114169189  0.190068737
#> [19,] -0.002844558 -0.001346843  0.063461486  0.053212625
#> [20,]  0.032752739 -0.019236199 -0.024465745  0.023963007
#> [21,] -0.083154833 -0.049008309  0.017922567 -0.062971940
#> [22,]  0.008691123 -0.023070584  0.016343685  0.117850864
#> [23,] -0.604824700  0.011861844 -0.294364739 -0.456359352
#> [24,] -0.073572754 -0.359158931 -0.193443427  0.639792735
#> [25,] -0.051150915 -0.114370002 -0.222936175 -0.218045883
#> [26,]  0.026019284  0.020495908  0.044649166  0.145602484
#> [27,]  0.012782741  0.004274401 -0.202216489 -0.084998618
#> [28,]  0.152497717 -0.077588619  0.101148130  0.223231374
#> 
#> , , 4
#> 
#>              [,1]         [,2]         [,3]         [,4]          [,5]
#>  [1,] -0.31410488  0.253146958 -0.006833414 -0.191862343 -0.2707574745
#>  [2,]  0.02700642  0.003258846 -0.069812323 -0.119250167 -0.1669318903
#>  [3,] -0.19708753 -0.370569608 -0.416971726 -0.712032003  0.1847557667
#>  [4,] -0.16404138  0.076984828 -0.022448013  0.025268031  0.0002474739
#>  [5,] -0.32042867  0.206713928  0.277684525  0.113456445  0.0130697995
#>  [6,] -0.07568905  0.280620960  0.078382900  0.076560553  0.0033904604
#>  [7,] -0.22239288  0.112537102  0.192012856  0.103248702 -0.1625911810
#>  [8,] -0.10303140  0.026380098 -0.281119799  0.011832946  0.1943126082
#>  [9,]  0.06285366 -0.047273167 -0.231835359 -0.016674528  0.0265914893
#> [10,]  0.16586064 -0.168431489  0.009258753  0.055518059 -0.2264721625
#> [11,]  0.06717249  0.106817937  0.056491387  0.173333823  0.1901610896
#> [12,] -0.04541147 -0.019287930 -0.027213288 -0.172609463  0.0344287901
#> [13,] -0.24705873 -0.040934348 -0.106950430  0.035287571  0.0922097105
#> [14,]  0.12872384 -0.046780905 -0.098720081 -0.166822151  0.0407887683
#> [15,]  0.19060627  0.108665037  0.033699784  0.015375050 -0.0507895583
#> [16,] -0.02081029  0.117665649 -0.054474224  0.113571456  0.0929515112
#> [17,]  0.27641433 -0.065339515 -0.079477141 -0.004575323 -0.0672238396
#> [18,] -0.32414671  0.047546742 -0.157801218 -0.100477529 -0.0383286933
#> [19,]  0.01951610 -0.023960375  0.180816098  0.180361000  0.0012529430
#> [20,] -0.05740277  0.318383079  0.050961715 -0.034349677  0.1138208140
#> [21,] -0.05892696 -0.268505706 -0.060349926  0.072461627 -0.0384166982
#> [22,]  0.06617202 -0.031456637  0.169160874  0.098883378  0.0394874170
#> [23,]  0.07382348  0.804863109  0.679894718 -0.123398154  0.3882634165
#> [24,]  0.25753857  0.284244542  0.809347311  0.811483259  0.5187282417
#> [25,]  0.33725173 -0.203091873  0.130136038  0.006470626 -0.0752025007
#> [26,] -0.05525555 -0.044041990 -0.028308866  0.056693971  0.0614030044
#> [27,]  0.07837244 -0.146441696  0.112601232 -0.062298640  0.0540369725
#> [28,] -0.18404488 -0.131371709 -0.192075365 -0.087337689  0.0259654062
#>                [,6]         [,7]         [,8]         [,9]
#>  [1,] -0.1299979274 -0.076656851 -0.033006701 -0.234243191
#>  [2,] -0.0453417419 -0.125020510  0.054801049 -0.063830485
#>  [3,]  0.0558477398  0.009693824  0.002156690  0.497946624
#>  [4,]  0.0174097187  0.044284339  0.057279963 -0.006056326
#>  [5,] -0.0468016357  0.132200560  0.041988303  0.003312555
#>  [6,] -0.0025717502  0.185133326 -0.105342885 -0.046481033
#>  [7,]  0.0034865099  0.150427167 -0.210641576 -0.252662308
#>  [8,] -0.0762937104 -0.022172676  0.046845453 -0.018543559
#>  [9,]  0.0585944052 -0.058930472 -0.108638004  0.029551779
#> [10,]  0.0139951048 -0.133116554  0.104797804  0.180779049
#> [11,]  0.0711324909 -0.051067748 -0.078485288 -0.014327528
#> [12,]  0.0374956882 -0.052331000 -0.004551594 -0.017280144
#> [13,] -0.0006193684 -0.008237157  0.024005344  0.036393763
#> [14,]  0.0430553841 -0.027908223  0.073667791  0.001174553
#> [15,]  0.0375996244 -0.004023520 -0.009629123 -0.036528054
#> [16,] -0.0529006876 -0.049150449 -0.026707103 -0.186558315
#> [17,]  0.0520633265  0.046492938  0.089384381  0.047470391
#> [18,]  0.0337590075  0.136153146  0.107285971 -0.075849471
#> [19,] -0.0253738913  0.059540746  0.011243498  0.053098966
#> [20,] -0.0958522389 -0.034014386  0.008721519 -0.029942156
#> [21,]  0.0292952644  0.079024731  0.072849394  0.025261061
#> [22,] -0.0315895932 -0.013937240 -0.033390608  0.120086853
#> [23,] -0.1379221864  0.143692326 -0.419994560 -0.683517284
#> [24,]  0.3314391754  0.023872462  0.346125893 -0.243113611
#> [25,] -0.1763736640 -0.085887116 -0.034770700 -0.064518643
#> [26,]  0.0178366509  0.014025587  0.067548555 -0.122201636
#> [27,]  0.0772932301  0.069706243  0.091109518 -0.147424353
#> [28,] -0.0837898403 -0.035883216  0.049537644  0.138180261
#> 
#> , , 5
#> 
#>               [,1]        [,2]         [,3]        [,4]          [,5]
#>  [1,] -0.085262474 -0.23737249 -0.136580980 -0.28812024  0.0432689668
#>  [2,]  0.124961717  0.07686642 -0.070504876 -0.04178954  0.0351269274
#>  [3,] -0.139281304  0.01338513  0.535954839 -0.28959358  0.1493797354
#>  [4,] -0.097470016 -0.08367039  0.082996933  0.07871279  0.0713883032
#>  [5,]  0.351778585  0.03328848 -0.230044194  0.07458602  0.0921187345
#>  [6,]  0.125802570 -0.05107947  0.120909257  0.13820875 -0.0006385338
#>  [7,]  0.309582849 -0.24109153 -0.340788629 -0.11386590 -0.2690111313
#>  [8,]  0.321871222 -0.15845004 -0.039406484  0.07976587  0.3029755898
#>  [9,] -0.335066943  0.22621437 -0.039704037 -0.27884041  0.0064828329
#> [10,]  0.174160559 -0.02142450 -0.052822663 -0.09966988 -0.1009436279
#> [11,] -0.239836069  0.14359539 -0.011998930  0.13939834  0.0242526122
#> [12,]  0.343688721 -0.12788690 -0.007765505  0.01403000  0.0029877769
#> [13,] -0.150671283  0.08059706  0.021523097 -0.13263970 -0.0338682316
#> [14,] -0.124146409  0.01493830 -0.133916089 -0.06407365 -0.0130641545
#> [15,] -0.035641601 -0.05575048  0.025970708  0.06544923 -0.0445493168
#> [16,]  0.035173718  0.06238715 -0.036661384 -0.06301248 -0.0229707400
#> [17,] -0.044729237 -0.05634352 -0.047551514 -0.02211506  0.0176093553
#> [18,]  0.005031306  0.02952752  0.006480422 -0.01315365  0.0630800102
#> [19,]  0.111349787 -0.09422839  0.095360665  0.11208053  0.0320083738
#> [20,]  0.008967907 -0.14271609 -0.255825449 -0.14217181 -0.1246544412
#> [21,] -0.091310452  0.13514598  0.102530634  0.06203100 -0.0233382980
#> [22,]  0.163141422 -0.07243467  0.032126907  0.09199458  0.0426496873
#> [23,]  0.359953499 -0.26065578 -0.826228417 -0.60311868 -0.2065101129
#> [24,] -0.092698638 -0.42420461 -0.427915546  0.04372859 -0.2010894558
#> [25,]  0.256551674 -0.09900629  0.235256602  0.14708112 -0.0743105395
#> [26,] -0.371919739  0.14302006 -0.016307108 -0.01179780 -0.1073594021
#> [27,] -0.055896557 -0.10301362  0.006011799  0.09951453 -0.1214745466
#> [28,] -0.015249261 -0.23341825  0.182268217  0.02130896  0.0214026171
#>              [,6]         [,7]          [,8]          [,9]
#>  [1,] -0.19712793 -0.447758384 -0.3735457561 -0.0385509133
#>  [2,] -0.08973266  0.004747259  0.0496344227  0.0029165144
#>  [3,] -0.20622017 -0.284959271  0.6626571860  0.8629364650
#>  [4,]  0.05091188  0.136632914  0.0831007426  0.0264119351
#>  [5,]  0.16614357 -0.117117570  0.0155143097 -0.0634409904
#>  [6,] -0.01088089  0.023223242 -0.1266857007  0.0872214335
#>  [7,] -0.27848539  0.371653982 -0.1233862976  0.0149954243
#>  [8,]  0.35196450  0.023114591 -0.1130744117 -0.1569085180
#>  [9,] -0.02411302 -0.008135725 -0.1079269367 -0.1050873621
#> [10,] -0.04265142  0.022926759  0.1202314000  0.1290413680
#> [11,] -0.06845904 -0.006794509 -0.0533435707 -0.0136107612
#> [12,]  0.02768278 -0.048444310  0.0152653443  0.0274629807
#> [13,]  0.03133566  0.055950871  0.0231457055  0.0450302922
#> [14,] -0.03528764 -0.013259732  0.0049209959 -0.0763255884
#> [15,] -0.21570797 -0.137102156 -0.0558617715 -0.0043502159
#> [16,] -0.01220529 -0.047904116 -0.0776696848 -0.0142130194
#> [17,] -0.07672082 -0.023774751 -0.0659339876 -0.0459732894
#> [18,] -0.03730468  0.031680727  0.0707247022  0.0582395407
#> [19,]  0.04246579 -0.001949179 -0.0024731394  0.0477754836
#> [20,] -0.06161447  0.018681479 -0.0072120083  0.0191144797
#> [21,]  0.08243480  0.064348419  0.0606559472 -0.0597741468
#> [22,] -0.01376835 -0.050197175 -0.0003901437  0.0812219510
#> [23,] -0.28249548 -0.110845294 -0.6160142426  0.0678760183
#> [24,]  0.37393331 -0.541101602 -0.4566727824  0.2136001527
#> [25,] -0.01003355  0.089507636  0.1891941783  0.0441851114
#> [26,]  0.02436773 -0.015933233 -0.0464335371  0.0001293969
#> [27,] -0.03006644  0.142119924 -0.0327394012 -0.1259807299
#> [28,] -0.21035914 -0.089418925  0.2378026310  0.1703321671
#> 
#> , , 6
#> 
#>               [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.007187796  0.018549408  0.247899966  0.407491004  0.075061226
#>  [2,]  0.093384040  0.297548781  0.028595291 -0.180407453 -0.033831916
#>  [3,] -0.388054732  0.538745180  0.269756846 -0.234147579  0.049103567
#>  [4,] -0.275752276 -0.075067346  0.043238223  0.013666079  0.085719020
#>  [5,]  0.584277349  0.012602486 -0.287656604 -0.084126731 -0.034237946
#>  [6,] -0.127975852  0.021366147  0.003688386 -0.180626208 -0.191770818
#>  [7,]  0.017002278  0.433313813 -0.293795989  0.064520359 -0.125951424
#>  [8,]  0.188721700  0.010810386  0.014172908  0.084606019  0.149342549
#>  [9,]  0.101152546  0.093146776  0.205485973  0.343422207  0.323973682
#> [10,]  0.118953301 -0.056990779 -0.189647337 -0.242363369 -0.149456596
#> [11,]  0.143639182 -0.049551044 -0.058349870 -0.211278440 -0.014867238
#> [12,] -0.041661960  0.065767265  0.036052967 -0.058424479  0.060173165
#> [13,] -0.050070393 -0.020587188 -0.103740172 -0.064246120 -0.029477736
#> [14,] -0.034938465  0.009018012 -0.035525321 -0.066341844 -0.024227768
#> [15,] -0.058319266 -0.077225577  0.084840705  0.119048344 -0.022702930
#> [16,]  0.019044788  0.182296274  0.077710062  0.155317238  0.310697288
#> [17,] -0.200637528 -0.108394300 -0.025640410  0.073971473 -0.032564220
#> [18,] -0.031733705 -0.283399785 -0.236532220 -0.059447184 -0.006525259
#> [19,]  0.132514279  0.121084821  0.106607451 -0.047623383  0.014949257
#> [20,] -0.097481749  0.213869877  0.334232381 -0.004984915 -0.034389040
#> [21,] -0.041235200 -0.226236404 -0.145003866 -0.027142309 -0.012317477
#> [22,] -0.045157525  0.074810505  0.009450855 -0.044064911 -0.089003615
#> [23,]  0.089975817  0.265683091  0.161641169 -0.179712613 -0.332652486
#> [24,]  0.005129631  0.192622848  0.097803251  0.308712088  0.417341527
#> [25,] -0.119980465 -0.010138087 -0.146161233 -0.085175785 -0.029275020
#> [26,]  0.403036495 -0.164608304 -0.018698987 -0.005242819  0.009901263
#> [27,]  0.237420160  0.090107074  0.138761519  0.014193918  0.003089087
#> [28,] -0.414275672 -0.104483788  0.082571953  0.047957173  0.012095666
#>               [,6]         [,7]        [,8]         [,9]
#>  [1,]  0.189312508  0.008465005  0.03855727  0.145647879
#>  [2,]  0.004609132  0.179454193 -0.01655497  0.001484245
#>  [3,]  0.590576421  0.661520834  0.20272718  0.022445450
#>  [4,]  0.079432614  0.120250155 -0.05488804  0.095660112
#>  [5,]  0.071954728 -0.084953682 -0.16439024 -0.189055938
#>  [6,] -0.269532109 -0.245803842 -0.14634978  0.092088653
#>  [7,]  0.376223135  0.485671478  0.11558350 -0.147662305
#>  [8,] -0.009173758 -0.345887547 -0.16811885 -0.076423594
#>  [9,]  0.074199286  0.189574031 -0.04813596 -0.014968077
#> [10,] -0.192326078  0.059219332  0.28012918  0.199817495
#> [11,]  0.063561814  0.004031075 -0.05453190 -0.018299550
#> [12,] -0.037854421  0.055481691  0.01670322 -0.028839118
#> [13,] -0.017022289  0.069891989 -0.06274366 -0.002674077
#> [14,]  0.031349025  0.072374156  0.09549142  0.045232106
#> [15,]  0.009293640  0.025331804 -0.04345425 -0.114216715
#> [16,]  0.283767503  0.083898382  0.06479429  0.141021243
#> [17,]  0.057123274  0.061800917  0.03692126 -0.137603835
#> [18,]  0.116584054 -0.046558901 -0.10850196 -0.007182030
#> [19,] -0.050851997  0.123537569  0.10533958  0.067268907
#> [20,]  0.008433144  0.004324121  0.08843184  0.063842248
#> [21,]  0.022821571 -0.047772421  0.11902116  0.079023124
#> [22,] -0.015968486 -0.040676471  0.06424820 -0.059696021
#> [23,]  0.107810420  0.395295912  0.30379265  0.141933058
#> [24,] -0.088326014  0.151667055  0.48097094  0.557808459
#> [25,] -0.202300912 -0.095362565 -0.02817351  0.076613851
#> [26,] -0.031254587 -0.002207359  0.03509614 -0.002867416
#> [27,] -0.077276657 -0.179399111 -0.28614850 -0.108376249
#> [28,] -0.047344184  0.095870071  0.12480974 -0.018629165
#> 
#> , , 7
#> 
#>              [,1]         [,2]         [,3]          [,4]         [,5]
#>  [1,]  0.19433388 -0.076400349 -0.006616944  0.0059417708  0.170419190
#>  [2,]  0.15309961 -0.059026772 -0.170497266 -0.1602508170  0.071510339
#>  [3,] -0.28992881 -0.027912913 -0.437655178  0.2363580344  0.509719445
#>  [4,] -0.21287860  0.104785324  0.053442565  0.1469952856  0.136139565
#>  [5,]  0.38218139 -0.067081473  0.054883767 -0.1083789648 -0.130196726
#>  [6,]  0.11638228 -0.134474321  0.038149894  0.0882147965  0.043359916
#>  [7,]  0.08242912 -0.132493320 -0.062894221  0.0299913941 -0.330734057
#>  [8,] -0.05057463  0.184093414  0.075136532  0.1993426495 -0.083173621
#>  [9,]  0.31048065  0.311302722 -0.101207395 -0.1455091918 -0.010177424
#> [10,] -0.01416842  0.029919655  0.028518058 -0.0813655617 -0.096972696
#> [11,] -0.03281281  0.054888368  0.045356520 -0.0216693631  0.017878767
#> [12,] -0.03714981 -0.019924494 -0.098639308  0.0250989296 -0.015996575
#> [13,] -0.08595670  0.043674692 -0.009861847 -0.0257925011  0.013291453
#> [14,]  0.22849285 -0.121099070  0.091485801 -0.0064634287  0.018256847
#> [15,] -0.05152725 -0.025586742 -0.054919853 -0.0819393724  0.093942249
#> [16,] -0.07851261  0.004334095  0.085109106  0.1539309314  0.049895036
#> [17,]  0.08218793 -0.046978188 -0.126749291 -0.0838111226  0.013566776
#> [18,]  0.11596429 -0.043186189 -0.068594646 -0.0494956605  0.016336334
#> [19,] -0.08377738 -0.020666087  0.147463421  0.1213594545  0.001560205
#> [20,]  0.03507430 -0.278724461  0.039170117 -0.0002097868 -0.068276180
#> [21,]  0.15352456 -0.301425888 -0.084184769 -0.1618767617 -0.038071387
#> [22,] -0.07860676  0.200831986  0.053049741 -0.0418234533 -0.054019292
#> [23,] -0.13081474 -0.239686904  0.473481486  0.0910867793  0.084412270
#> [24,] -0.44260512 -0.480280931  0.023161827  0.1770293512 -0.184358585
#> [25,] -0.32538940 -0.075806334 -0.102786676 -0.1354017877 -0.101286050
#> [26,] -0.24989371 -0.143970786  0.140479933 -0.0853781464 -0.100412068
#> [27,]  0.09883162 -0.123877337 -0.010383304 -0.1263424232 -0.073056292
#> [28,] -0.45956047  0.425637046  0.025446529 -0.0754901623 -0.224884157
#>               [,6]          [,7]         [,8]         [,9]
#>  [1,]  0.089703955 -0.1697335632 -0.161076708 -0.220926918
#>  [2,]  0.065493954  0.0231207536  0.098416140  0.030754926
#>  [3,]  0.218308119 -0.4065781349  0.117260546 -0.584497834
#>  [4,]  0.068442925  0.0422322612  0.072900540  0.027993778
#>  [5,] -0.125360778  0.0469677514  0.010113116 -0.114451001
#>  [6,]  0.067695055  0.1266756702  0.081792376 -0.179211131
#>  [7,] -0.396279471  0.1092990051 -0.043290793 -0.075897337
#>  [8,] -0.135242817 -0.3079014750  0.118758447  0.243798567
#>  [9,]  0.211468288 -0.1762354797  0.042727525 -0.046462035
#> [10,]  0.023471524  0.1794324065  0.213958934 -0.024653344
#> [11,]  0.075558475  0.0304417157  0.056956657  0.043184993
#> [12,]  0.035248159 -0.0273524654 -0.004107194  0.005673442
#> [13,] -0.018523402  0.0383708339  0.117286203  0.053635346
#> [14,]  0.044619950 -0.0047391021  0.003913738  0.097522808
#> [15,]  0.006431475 -0.0986508371 -0.006323939  0.084895363
#> [16,] -0.089409820  0.1632183148  0.124628787 -0.098675755
#> [17,]  0.082134818  0.0006597982  0.009582878 -0.045430784
#> [18,] -0.196234624 -0.1032498672 -0.056225023 -0.024045548
#> [19,]  0.030925823  0.0914881800 -0.005402603 -0.021428786
#> [20,]  0.121023590 -0.0106728614  0.013976464 -0.040576408
#> [21,] -0.049650914  0.0047185165 -0.111738248 -0.079356045
#> [22,] -0.076449336  0.0231279675 -0.001485569 -0.128818927
#> [23,] -0.152867052 -0.2122322919 -0.427981918 -0.189372095
#> [24,]  0.104057086 -0.0718268878 -0.198611665  0.050005890
#> [25,]  0.016214578 -0.0051369767  0.088713280  0.095373290
#> [26,] -0.124549205 -0.0753295256 -0.029640962 -0.054572390
#> [27,]  0.112447565 -0.2685198505 -0.121286514  0.084673762
#> [28,]  0.098558351 -0.0283005697 -0.024985439 -0.107747948
#> 
#> , , 8
#> 
#>               [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.215330020 -0.077515396  0.056135789  0.194654147  0.244966130
#>  [2,] -0.049306463  0.148649083 -0.115590703  0.190796014 -0.046146880
#>  [3,] -0.179145408  0.270183754 -0.248897085  0.451024580  0.155334650
#>  [4,]  0.110949287  0.301964357  0.054693771  0.049715208 -0.018426184
#>  [5,]  0.137292407 -0.289893486 -0.075102214 -0.175545097  0.055357708
#>  [6,] -0.023748749 -0.063954966 -0.053732835  0.086451124  0.070314966
#>  [7,]  0.008027922 -0.139819747  0.060743202 -0.090010938 -0.276878987
#>  [8,]  0.080776002 -0.025810150  0.067249597  0.142707662  0.409303126
#>  [9,] -0.027490039  0.141950879  0.006929745 -0.040479525  0.083091597
#> [10,]  0.062927134 -0.304532698 -0.124038540 -0.130506799 -0.004412383
#> [11,] -0.086560146  0.225312363 -0.120947895 -0.077770812 -0.028294963
#> [12,]  0.104333503 -0.083026556  0.100450671  0.136700650  0.014678867
#> [13,] -0.038230336  0.009709991 -0.021982921 -0.088767504 -0.038790218
#> [14,] -0.018430147 -0.144981131 -0.014008242  0.040823995 -0.063554573
#> [15,]  0.143356052  0.191773718 -0.115048706 -0.007142894 -0.005618527
#> [16,] -0.195439381 -0.026443478  0.004145359 -0.011896241 -0.019137593
#> [17,]  0.089772411  0.078539184 -0.049014724  0.114928585  0.143746684
#> [18,] -0.068343207  0.147353950 -0.077985240 -0.158571574 -0.143727999
#> [19,] -0.128108031 -0.176370528  0.195761016  0.103615686 -0.019383239
#> [20,] -0.061717504  0.211968985  0.044268294  0.016224189 -0.020388496
#> [21,] -0.060386413 -0.069480546  0.098483594  0.011436772  0.067687143
#> [22,] -0.177173432  0.008769995 -0.061736425  0.037804080  0.046618548
#> [23,]  0.215277831  0.072080796  0.473816756  0.633448086 -0.682300011
#> [24,] -0.493632902 -0.427099648  0.254267328 -0.086212390  0.038823072
#> [25,]  0.027506810  0.123988794  0.156108491  0.207443896  0.022686212
#> [26,]  0.416632928 -0.290808380 -0.005600298  0.085094365 -0.017836134
#> [27,] -0.336542151  0.273238674  0.075905482 -0.164456131 -0.281990244
#> [28,]  0.271242161  0.185087285 -0.112125472 -0.032229977 -0.015318115
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.049528028  0.060785812  0.252539988  0.366981586
#>  [2,] -0.047094290 -0.045581775  0.000660536 -0.079337122
#>  [3,] -0.096450317 -0.153852207  0.709850351  0.196498732
#>  [4,]  0.024883080  0.004650284  0.080268207 -0.007685293
#>  [5,] -0.016043651 -0.106778835 -0.083349781 -0.046839019
#>  [6,] -0.016907774 -0.095231449 -0.012950197  0.132430713
#>  [7,]  0.274590972  0.332845360  0.098844258 -0.446375638
#>  [8,]  0.135550066 -0.138719746  0.081987398 -0.130329785
#>  [9,]  0.029141620  0.144804981  0.057941939 -0.084853679
#> [10,] -0.202491098 -0.166030747 -0.094442043  0.147208220
#> [11,]  0.054138882  0.067468123  0.092427107  0.017340402
#> [12,]  0.056756972  0.092566167  0.033254268 -0.019761072
#> [13,] -0.014562866 -0.017320507  0.015351486 -0.042067644
#> [14,] -0.026078724 -0.017941557 -0.024325569  0.017538903
#> [15,] -0.003036414  0.143526131  0.147263649 -0.103224804
#> [16,] -0.075119580 -0.154140053  0.052544615  0.168970411
#> [17,]  0.132556105  0.181839144 -0.018481085 -0.121093355
#> [18,]  0.054505224 -0.043859803  0.100197968  0.044959512
#> [19,] -0.077180597 -0.086346149 -0.048508283 -0.001400584
#> [20,] -0.095386655  0.006846730 -0.024095025 -0.035487811
#> [21,]  0.106615319  0.035895681  0.026956040  0.094165954
#> [22,]  0.045625433  0.033694618  0.009019208  0.020345506
#> [23,]  0.102647315  0.166647425 -0.389047359 -1.104840296
#> [24,] -0.052659292 -0.263972886 -0.167866816  0.241596000
#> [25,]  0.057284448  0.001773702 -0.132257385 -0.012497721
#> [26,] -0.046307402 -0.068518761 -0.101399287  0.090293261
#> [27,] -0.186551841 -0.174088521 -0.007599035 -0.205746804
#> [28,] -0.028034346 -0.025593168 -0.007537752 -0.211799845
#> 
#> , , 9
#> 
#>              [,1]         [,2]         [,3]         [,4]          [,5]
#>  [1,]  0.30503334  0.077218667  0.241641046  0.051623310 -3.420471e-02
#>  [2,]  0.54340480 -0.247937108  0.054984520 -0.007343819  3.158063e-02
#>  [3,]  0.11964488 -0.441684958 -0.016538832 -0.589470723 -6.941412e-01
#>  [4,] -0.02533971  0.131693124  0.066463957  0.066630129  1.893437e-05
#>  [5,]  0.09320073  0.155519535 -0.206217504 -0.129598129 -2.144867e-01
#>  [6,] -0.01568942  0.069207194  0.232171908  0.139565721  1.337103e-01
#>  [7,]  0.08552338 -0.151725486 -0.130523879 -0.466916994 -2.313893e-01
#>  [8,]  0.34811036 -0.047845678  0.149475667  0.009156830 -2.292611e-01
#>  [9,] -0.02108602  0.018053055  0.032040124  0.160390160  7.615769e-02
#> [10,] -0.07475837 -0.169111146 -0.098181485  0.074347450 -3.441599e-02
#> [11,]  0.03187122 -0.089918249  0.001564463  0.040907208 -1.290733e-02
#> [12,]  0.08137122 -0.058963644  0.244725553  0.099806032 -1.051034e-01
#> [13,]  0.03794157  0.068434156 -0.065893255  0.010424455 -9.075192e-02
#> [14,]  0.02075266 -0.148261786 -0.024938338  0.007809759  4.630981e-02
#> [15,]  0.02145450  0.064720012  0.222794706 -0.129437373 -6.084063e-02
#> [16,] -0.05561264 -0.008213486 -0.124983327  0.202879544  4.117466e-02
#> [17,]  0.16307523 -0.242295077 -0.055227988 -0.194910183 -9.561812e-02
#> [18,] -0.06238854 -0.136875598 -0.016810051 -0.198144107 -3.753869e-02
#> [19,] -0.14894046 -0.039960041 -0.090275637  0.080661747 -1.698390e-03
#> [20,] -0.02814882  0.138792758 -0.132685269  0.008616507  7.432064e-02
#> [21,]  0.19119466  0.145534931 -0.083492738 -0.117432951 -7.473152e-02
#> [22,] -0.19968653 -0.080846866  0.035500481  0.036567613  3.645155e-02
#> [23,] -0.33036661 -0.440668669 -0.640552114 -0.446352004 -2.990595e-01
#> [24,] -0.51314270  0.332052339 -0.057140209  0.655496087  5.770094e-02
#> [25,]  0.48147645 -0.244081022 -0.115443279 -0.127016867 -9.545904e-02
#> [26,] -0.10770796  0.065506379 -0.022814772  0.102926410  5.391105e-02
#> [27,]  0.16370151  0.031874561  0.004584224 -0.141619746  7.381964e-02
#> [28,]  0.07546095 -0.294154557 -0.128080301  0.053963158  2.514811e-02
#>                [,6]         [,7]         [,8]        [,9]
#>  [1,]  0.1051786504  0.081698030 -0.009431551 -0.12246920
#>  [2,] -0.0063034110 -0.091016963 -0.048136891 -0.02265706
#>  [3,] -0.2444171744  0.186992077 -0.114977235  0.08018044
#>  [4,] -0.0008775204 -0.038931060 -0.061957718  0.01770098
#>  [5,]  0.1595851676  0.002702041 -0.019685510 -0.21429886
#>  [6,]  0.0418980564 -0.124574865  0.066204931 -0.15817608
#>  [7,]  0.1855009738  0.206310395  0.265372691  0.67571068
#>  [8,] -0.3413899903  0.002853610  0.062876918 -0.07801741
#>  [9,]  0.0352748779  0.038717844  0.031419538 -0.06881373
#> [10,]  0.1502243612 -0.141164645 -0.046863253 -0.06623759
#> [11,]  0.1012004308  0.097885045  0.005165724 -0.07927096
#> [12,] -0.0426762936  0.013489950 -0.035303182  0.03308515
#> [13,] -0.0812326774  0.070437529  0.031992938  0.05860223
#> [14,]  0.0699074671 -0.011169016 -0.012358010  0.03009857
#> [15,] -0.0701107425 -0.075500689 -0.038516100 -0.05488886
#> [16,]  0.0779632610 -0.015814222 -0.020673874 -0.08715071
#> [17,] -0.0700142379  0.024513842  0.053601413  0.01081910
#> [18,] -0.0659306080  0.056165927  0.097880043  0.04167736
#> [19,]  0.0380494026  0.053594056 -0.029740635  0.01089137
#> [20,]  0.0473771016  0.013541584  0.039715589  0.03707580
#> [21,] -0.0718787935  0.016249748  0.085114712 -0.02099237
#> [22,]  0.1062392626  0.059762528  0.040068181  0.03410515
#> [23,] -0.5633782710 -0.662742342 -0.500666745 -0.01694032
#> [24,]  0.2036214904  0.717694530  0.286959664  0.20844184
#> [25,] -0.1543302467 -0.174077723 -0.098168111 -0.10636613
#> [26,]  0.0558895476  0.008589559  0.020272308 -0.13186751
#> [27,] -0.0890479812 -0.186442163  0.107249160 -0.07216698
#> [28,]  0.0911450194  0.281310037  0.003964381  0.06211167
#> 
#> , , 10
#> 
#>               [,1]         [,2]         [,3]          [,4]         [,5]
#>  [1,]  0.061005337  0.047089477  0.066597583  0.0226365720  0.021042774
#>  [2,]  0.210215636 -0.113218525 -0.067917499  0.1918447549  0.171438659
#>  [3,] -0.059328921 -0.063805638  0.166360454  0.2980277855 -0.373533334
#>  [4,]  0.155688737 -0.022896458 -0.080833852 -0.0311941413  0.094831223
#>  [5,] -0.118181442 -0.031993223  0.171949605  0.0624569015  0.112055345
#>  [6,] -0.024927248 -0.033471817 -0.167016244 -0.1293836664  0.046035449
#>  [7,] -0.076935733 -0.128451728 -0.294433668 -0.4574661367  0.164423906
#>  [8,]  0.158711431  0.264380378  0.295682353  0.4365386084  0.478396000
#>  [9,]  0.230542222  0.026531477  0.121226414 -0.0126545821  0.091648946
#> [10,] -0.024725672 -0.084127783 -0.137136225 -0.3226894068 -0.087186711
#> [11,] -0.113249349  0.009958737  0.014247911  0.1199318050  0.010684007
#> [12,] -0.037995121 -0.063647137 -0.045130747 -0.0470718080  0.096827278
#> [13,] -0.040136455  0.077936700  0.053679827 -0.0349172299 -0.082896275
#> [14,]  0.011395919  0.097274148 -0.073286637  0.0365408622 -0.102608322
#> [15,] -0.021830902  0.029106402  0.029875335  0.1017278774  0.110780191
#> [16,] -0.090129482  0.029556644  0.102317786  0.0734419326  0.082715289
#> [17,] -0.092801640 -0.068425867 -0.123605492  0.0682027829  0.002277364
#> [18,] -0.198121930  0.059421555  0.128935413  0.1695227503 -0.127787098
#> [19,]  0.362121256  0.094190144 -0.015369989 -0.0503813484  0.181831851
#> [20,] -0.311989490 -0.270196619 -0.220247896  0.0004021551  0.016200285
#> [21,] -0.089724888  0.275673875  0.072147584 -0.0523165683 -0.187713632
#> [22,] -0.009148957  0.023171836  0.125703885  0.1195390134  0.084813169
#> [23,]  0.037120804  0.166832548 -0.253304911  0.0401983832  0.525424937
#> [24,]  0.069364068  0.366037196 -0.329738231 -0.3465761855  0.255312386
#> [25,] -0.158959242  0.070410423 -0.030859770 -0.1265155011 -0.011785285
#> [26,] -0.154356523  0.076833212 -0.021251535 -0.0874992950 -0.030582281
#> [27,] -0.005743661 -0.055636282 -0.059967468 -0.1046663298 -0.149528668
#> [28,] -0.134929888 -0.379172091 -0.007408524  0.0736346853  0.202955733
#>               [,6]         [,7]         [,8]          [,9]
#>  [1,] -0.003354293  0.113934362 -0.024501606 -0.1417330944
#>  [2,]  0.111356470  0.029635360 -0.049973864  0.0220272202
#>  [3,] -0.223257413 -0.270234220 -0.947115920 -0.4363686251
#>  [4,] -0.017978926 -0.063892507 -0.030813835  0.0982920564
#>  [5,]  0.070181714  0.043907023  0.088616680 -0.0687639906
#>  [6,]  0.042888516 -0.025498983  0.010006173 -0.1208589746
#>  [7,] -0.388971289 -0.197891753 -0.113849303 -0.0915847605
#>  [8,]  0.342429618  0.062710891  0.044685939  0.1353334681
#>  [9,] -0.067516969 -0.231923818 -0.085263917  0.0845309473
#> [10,]  0.091655959  0.299758879  0.172619898  0.1330675985
#> [11,] -0.002665428  0.085668412 -0.016912858  0.0754075804
#> [12,] -0.033804828 -0.072068499 -0.001081551  0.0163417610
#> [13,] -0.079952505 -0.100083775 -0.031012023  0.0511365138
#> [14,] -0.063661073 -0.043185488 -0.135931388 -0.1218418817
#> [15,]  0.010039218 -0.025153042 -0.004294389  0.0181411409
#> [16,]  0.067536307  0.143798637 -0.054165305 -0.0185698813
#> [17,]  0.073685359  0.191928776  0.138224249 -0.0215068491
#> [18,]  0.052971159  0.116985258  0.063971909 -0.0051053578
#> [19,]  0.094960935 -0.018027935  0.018878192  0.0131042718
#> [20,] -0.141277263  0.056445137  0.066926216  0.0213587910
#> [21,]  0.112892354  0.056390523 -0.024726744 -0.1606289076
#> [22,]  0.021601989  0.078711203  0.004135760  0.0149520302
#> [23,] -0.170207050 -0.375732594  0.129937776  0.1061453671
#> [24,]  0.050690903 -0.041029517 -0.293684119 -0.1205223817
#> [25,] -0.039501285 -0.100137187 -0.012336887 -0.1405826070
#> [26,]  0.035234798 -0.004759532  0.078330403  0.0078147134
#> [27,] -0.152512164 -0.321288397 -0.244259129 -0.0005229272
#> [28,] -0.215834348  0.069117152  0.155804577  0.2472544662
#> 
#> , , 11
#> 
#>               [,1]        [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.034199701  0.18045284  0.064860039  0.231809438  0.100967289
#>  [2,] -0.070351093  0.12107024  0.011665619 -0.046756667 -0.010395477
#>  [3,]  0.213481623  0.35026909  0.106087918  0.145048116  0.060769988
#>  [4,]  0.052379881  0.37015835  0.011201070  0.036215177 -0.060515783
#>  [5,] -0.280116660 -0.16706334  0.157241086  0.076579512 -0.008370958
#>  [6,] -0.076781914 -0.04440345 -0.131676342 -0.148072405  0.059503711
#>  [7,] -0.085311776 -0.13713585 -0.460548464 -0.128332477 -0.049883000
#>  [8,]  0.273418453 -0.21162522 -0.003350437  0.106513415  0.338255008
#>  [9,]  0.117607989  0.13741947  0.271032052  0.422150424  0.006076697
#> [10,] -0.173144369 -0.05617834 -0.128187549 -0.117635330 -0.381278517
#> [11,]  0.041281634 -0.21954060  0.116120492 -0.015049735  0.056039914
#> [12,]  0.108122414  0.09079985 -0.053549910  0.011409417 -0.025374837
#> [13,]  0.090700765  0.06222655  0.077493815  0.083453980 -0.053077753
#> [14,]  0.049948578 -0.08035721  0.048581953 -0.048762449 -0.032939080
#> [15,] -0.104966648 -0.14051067  0.080234153  0.086102336  0.128386958
#> [16,] -0.024854325  0.13730441 -0.123458211  0.009839519  0.066380265
#> [17,] -0.018786111 -0.15288455 -0.052723049  0.055762787  0.155577684
#> [18,]  0.003041126 -0.05710939  0.017342324  0.064286401  0.143667205
#> [19,]  0.137742471  0.19765396 -0.117325084 -0.205201201 -0.039343210
#> [20,] -0.305425537  0.19344990  0.180549604 -0.036900027 -0.100653809
#> [21,]  0.362355957 -0.20852926 -0.185413884 -0.118474755 -0.033907801
#> [22,] -0.012347763 -0.20264601  0.091185804  0.052270521  0.096952061
#> [23,]  0.304511558 -0.10827939 -0.021793187 -0.049237086  0.657504861
#> [24,]  0.100022236 -0.28319419 -0.354861819  0.045887862 -0.444250466
#> [25,]  0.308310675  0.27974684 -0.288463170 -0.140353856  0.079350888
#> [26,]  0.227956505 -0.01758070 -0.185063932 -0.094242576  0.016120064
#> [27,] -0.063273519 -0.26277131  0.053646084 -0.230663565 -0.250740680
#> [28,]  0.211486074  0.25116794  0.041353063  0.064905518  0.080760705
#>               [,6]        [,7]         [,8]         [,9]
#>  [1,]  0.144046036 -0.06187221 -0.121268971  0.017730991
#>  [2,] -0.015725811  0.03263632  0.079504116  0.010701036
#>  [3,] -0.445046872  0.53318436  0.242536527 -0.647499004
#>  [4,]  0.017332124 -0.03683320 -0.004267541 -0.101994774
#>  [5,]  0.011891846 -0.06064561  0.017860001 -0.038297778
#>  [6,]  0.031201812  0.04655419 -0.055464739  0.233787165
#>  [7,]  0.381376187  0.25173967  0.274937447  0.161954955
#>  [8,] -0.011012567  0.19144250 -0.221927213  0.003439869
#>  [9,]  0.118665481  0.20214088 -0.007391043  0.162368326
#> [10,] -0.119011986 -0.19597917  0.020601957 -0.024000167
#> [11,] -0.089850428  0.01845079 -0.096565568 -0.039782401
#> [12,] -0.044033448  0.04581500  0.088385031  0.053484078
#> [13,] -0.073509846  0.08609510  0.043601723  0.004966603
#> [14,]  0.002839899  0.01922695  0.093930168 -0.012931600
#> [15,]  0.044995482  0.02417541  0.059944565 -0.011623179
#> [16,] -0.152393221 -0.04380245 -0.010717200 -0.063752465
#> [17,]  0.083573325  0.06039227 -0.023850168 -0.132004157
#> [18,] -0.116208450 -0.12885130 -0.108598570 -0.100865444
#> [19,] -0.037425796  0.02841316  0.037230051  0.008218342
#> [20,] -0.042346318 -0.03879047 -0.038277233  0.011741825
#> [21,] -0.062248909  0.00941466  0.073346178  0.035355106
#> [22,]  0.016769932  0.03318168  0.021815906  0.147378628
#> [23,]  0.096117525  0.22844060 -0.034588037 -0.148216963
#> [24,] -0.225850175 -0.23362114 -0.279596863  0.366812220
#> [25,]  0.075184216 -0.03879068 -0.002447053 -0.060046894
#> [26,] -0.003570119  0.02733662 -0.025925463  0.082455188
#> [27,] -0.054890213 -0.23738342 -0.092416870 -0.008241666
#> [28,]  0.028814144  0.23194124  0.181071059  0.064754368
#> 
#> , , 12
#> 
#>                [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.0365898487  0.073167561 -0.279424268 -0.095281728  0.182773526
#>  [2,] -0.3506259309  0.256635505  0.149696122  0.073482711  0.043464212
#>  [3,] -0.4237443268  0.228236494 -0.576405881 -0.669326569 -0.487031564
#>  [4,]  0.0466180708  0.145708975  0.039082594 -0.007159543 -0.022727056
#>  [5,]  0.2736618059 -0.419017290 -0.177414883  0.093469023  0.145989302
#>  [6,] -0.0297769897  0.120580990  0.180082425  0.012950259 -0.075380025
#>  [7,]  0.0886321843 -0.506805313 -0.327744956  0.194053198  0.274865742
#>  [8,] -0.0251485370  0.053988477 -0.161377638  0.083853812 -0.218162201
#>  [9,] -0.0929279490 -0.037414060  0.026946806  0.062028214  0.121939096
#> [10,] -0.0032845077 -0.137772805  0.199719810 -0.156214520  0.058104982
#> [11,] -0.0453813848  0.267917087  0.057794893 -0.009058536 -0.199950718
#> [12,] -0.0943017557 -0.218013403 -0.220855229 -0.056346042  0.138949233
#> [13,] -0.0336053087  0.097305104 -0.024821035 -0.027618656  0.004207368
#> [14,]  0.0809619386 -0.073123318 -0.013732833 -0.074483232 -0.079209546
#> [15,] -0.0835322617  0.100843938 -0.009128888  0.004774761  0.155838251
#> [16,]  0.1939583623 -0.098784404 -0.053513138 -0.092492810 -0.018549711
#> [17,] -0.0889471458  0.178080244 -0.012180808  0.061049756 -0.051201387
#> [18,] -0.1337694789  0.080612844 -0.058220775 -0.004704794 -0.243811469
#> [19,]  0.0196500113 -0.001450352  0.010700272 -0.079607357 -0.015391133
#> [20,]  0.2787049827 -0.252302850  0.223276844  0.022374918  0.037696592
#> [21,] -0.1182355258  0.123303467  0.055530907 -0.057027023 -0.182848336
#> [22,]  0.2361699297 -0.101780713 -0.090482428 -0.100144889 -0.020217531
#> [23,]  0.1205327232 -0.197661431  0.108794954 -0.506692684 -0.630928111
#> [24,]  0.1679109950  0.147861764  0.162082555 -0.555774779 -0.031698582
#> [25,] -0.1960258250 -0.103084899  0.072384310  0.019248639  0.126251658
#> [26,]  0.0007215034  0.228400235  0.147119266 -0.169592359 -0.076432415
#> [27,]  0.0050633283 -0.027258596  0.047437676  0.134162420  0.071108555
#> [28,] -0.3591819799  0.512548147  0.166339356 -0.184780876 -0.219437286
#>               [,6]         [,7]          [,8]         [,9]
#>  [1,]  0.165872514 -0.116881607 -1.174212e-01  0.026741605
#>  [2,]  0.024283993  0.143873290  2.411127e-01 -0.013401909
#>  [3,]  0.082682039  0.507446914  1.693678e-01 -0.232130167
#>  [4,] -0.001294094 -0.036763728  6.416900e-02 -0.045316649
#>  [5,]  0.107238893 -0.083396020 -3.116599e-02  0.013408161
#>  [6,] -0.062400071  0.190171144 -6.159481e-02 -0.237133196
#>  [7,]  0.339384501 -0.052403519 -2.994020e-01 -0.617276315
#>  [8,] -0.054689369  0.222771785 -1.523866e-01 -0.140513708
#>  [9,] -0.105440503 -0.157999792  4.856974e-03 -0.031188758
#> [10,] -0.049681605  0.050123397  1.366697e-01  0.095957110
#> [11,] -0.038323498 -0.122654117 -1.277701e-01 -0.011682038
#> [12,]  0.015031370  0.004315367  4.022642e-02 -0.010269048
#> [13,] -0.052557968 -0.062302715  1.987276e-02  0.048949802
#> [14,]  0.029859990  0.013476929  7.560491e-02  0.047732256
#> [15,]  0.110037627  0.121683633  1.334464e-02  0.085444809
#> [16,] -0.023402154 -0.037814176 -5.524399e-02 -0.169507896
#> [17,]  0.091435507  0.035784329  2.614901e-02 -0.025466783
#> [18,] -0.029656543 -0.060208117 -5.984617e-02 -0.050045460
#> [19,]  0.021910873 -0.014101281  6.949373e-03  0.097438616
#> [20,]  0.040036075  0.005878580 -2.608048e-02  0.001665784
#> [21,]  0.016022701  0.091694787 -5.384817e-05  0.046233288
#> [22,] -0.016459712  0.024310284 -5.123430e-02 -0.015424614
#> [23,]  0.364429003 -0.163369496 -4.139992e-01  0.076188044
#> [24,] -0.349989740 -0.149484076  8.293066e-03  0.403325646
#> [25,]  0.000797169  0.011186490 -1.240515e-01 -0.017971545
#> [26,] -0.003443412  0.025326493 -2.336990e-03 -0.118572199
#> [27,] -0.003594579  0.017205080  1.632757e-01  0.124764049
#> [28,] -0.205622892 -0.167941843 -1.405440e-01  0.138238783
#> 
#> , , 13
#> 
#>              [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.04792296 -0.118651841  0.246642892 -0.140034214  0.037653469
#>  [2,] -0.17093697 -0.082411792  0.249739353  0.236450423  0.140664925
#>  [3,]  0.19321131  0.193554851 -0.399408539 -0.413100858 -0.539853890
#>  [4,] -0.16688840 -0.006807797  0.049141873  0.066774206  0.027009770
#>  [5,]  0.05584278  0.287337478  0.003828545  0.069508154  0.075323255
#>  [6,] -0.11910900 -0.111855480  0.148442797 -0.138182843 -0.167074420
#>  [7,]  0.24253526  0.098613585  0.097549041  0.420154007 -0.217220342
#>  [8,] -0.04992746 -0.313583907  0.145386595 -0.047641507  0.119016331
#>  [9,] -0.31070941  0.131090400 -0.008116943 -0.030046868  0.011106127
#> [10,] -0.04829785 -0.132949881 -0.050822856 -0.023603533 -0.182396472
#> [11,]  0.07711687  0.094866124  0.093422175 -0.028957347 -0.048800452
#> [12,]  0.02130826 -0.269324117  0.038243939  0.091153952  0.059705837
#> [13,] -0.01694021  0.072618664  0.046098304 -0.009928664  0.017856961
#> [14,]  0.11285346  0.004113106  0.083730687  0.049810235 -0.015513554
#> [15,]  0.06114122 -0.108131214 -0.142991022  0.042900997  0.019571288
#> [16,] -0.19375350  0.094387751  0.112796117  0.047561993  0.007542452
#> [17,]  0.07428924 -0.077010711  0.050751459 -0.072881912 -0.026169293
#> [18,]  0.24315739 -0.081792771 -0.083631683  0.050831299  0.015011800
#> [19,]  0.11322357 -0.065485341  0.030545506 -0.094824251  0.057467596
#> [20,] -0.22568521  0.206098516 -0.143554112 -0.090564325 -0.102282169
#> [21,]  0.22124878 -0.029696744 -0.064077909  0.022185149  0.020960510
#> [22,]  0.30329229  0.108955376 -0.117141774 -0.105437441 -0.108109932
#> [23,]  0.08576247 -0.006122420  0.063234371  0.422068551  0.188856151
#> [24,]  0.18962727 -0.048238085 -0.203783194  0.126310029  0.735742333
#> [25,] -0.39354603 -0.007870336  0.212202422  0.150557633  0.085719652
#> [26,]  0.14836630 -0.028357870 -0.139710692  0.086050518  0.094558129
#> [27,] -0.15930255 -0.079689399  0.011380282 -0.083784345  0.107505757
#> [28,]  0.24212261  0.016950034 -0.008013845 -0.109634506 -0.063661799
#>               [,6]        [,7]         [,8]          [,9]
#>  [1,]  0.053531251 -0.06387521 -0.061149601  0.1534946949
#>  [2,]  0.046665193  0.09917344 -0.022593812  0.1390782100
#>  [3,] -0.378945841  0.07330421 -0.554091183 -0.6281254603
#>  [4,] -0.002358701  0.05391224  0.148100889  0.1782504766
#>  [5,]  0.148407575 -0.01663553 -0.079529676 -0.0271270869
#>  [6,] -0.180346878 -0.17236170 -0.298616299  0.1157746490
#>  [7,]  0.168746130  0.42979852  0.295894987  0.1368949853
#>  [8,] -0.050364621 -0.05495311 -0.161559948 -0.2946007980
#>  [9,]  0.163871604  0.02487292  0.022003889  0.0738894602
#> [10,]  0.012098377 -0.23208826 -0.156029715 -0.0215902188
#> [11,] -0.036012130  0.01678885  0.041190272 -0.0005180299
#> [12,]  0.044917354 -0.02856159  0.016127207  0.0227062416
#> [13,] -0.012976430 -0.04312381  0.035668670  0.0397496673
#> [14,] -0.033129469 -0.04845718  0.005021216 -0.0490353643
#> [15,] -0.018915400  0.12911881 -0.018210075 -0.0785692435
#> [16,]  0.094650990  0.12416764  0.021200748 -0.0123649748
#> [17,] -0.151467648 -0.04617809 -0.043104035 -0.0715468282
#> [18,] -0.084792681  0.03874188 -0.006031270  0.0621875525
#> [19,] -0.052882973 -0.10168243  0.014488507 -0.0146558434
#> [20,] -0.005840122  0.04697577  0.054188429 -0.0009498475
#> [21,] -0.008217993  0.07463521  0.010632265 -0.0719111068
#> [22,] -0.080099862 -0.08002284 -0.052023620 -0.0951202925
#> [23,] -0.018331820 -0.13287001  0.192743342 -0.0713695356
#> [24,]  0.604546867 -0.11153794  0.578072011  0.4765054733
#> [25,]  0.133323400  0.16693130  0.050091841  0.0633365598
#> [26,]  0.064584063 -0.01709309  0.044525111  0.0582442504
#> [27,]  0.193656228  0.36656808 -0.025426358 -0.1608705345
#> [28,] -0.093227773 -0.05969812  0.147807141 -0.1024865685
#> 
#> , , 14
#> 
#>                [,1]        [,2]        [,3]        [,4]         [,5]
#>  [1,] -2.427776e-01 -0.04995134 -0.04307780  0.13147928 -0.174099449
#>  [2,]  1.021270e-01 -0.33442753 -0.05216455  0.03854090  0.104178981
#>  [3,] -1.952678e-01 -0.30862548  0.05634721 -0.53249816 -0.730517931
#>  [4,]  9.235283e-02 -0.10236007  0.05894814  0.04452111  0.103822153
#>  [5,] -3.718539e-01  0.22049244  0.26911769  0.17798588  0.164204131
#>  [6,]  1.259218e-02 -0.25304606 -0.28591377 -0.00345967 -0.021966436
#>  [7,]  2.549542e-02 -0.27566470  0.11054949 -0.10244742 -0.076219081
#>  [8,] -3.426565e-01 -0.01037923  0.05483296  0.41375392 -0.169414488
#>  [9,]  1.012313e-01 -0.11960475  0.01787421  0.20115083 -0.069753713
#> [10,]  1.230916e-01 -0.22012144 -0.01114818 -0.17573979  0.102575169
#> [11,] -1.067117e-01  0.06648166 -0.23725509  0.02551721  0.012285603
#> [12,]  5.637090e-02 -0.27879725  0.13659000  0.04013698  0.013687405
#> [13,] -8.319260e-02  0.05805258  0.02347943  0.11493197  0.008248042
#> [14,]  1.300331e-02 -0.03678257  0.01597215  0.02708853 -0.022985042
#> [15,] -2.113533e-01  0.02404185  0.11520323 -0.03549802  0.032116593
#> [16,]  1.260433e-01 -0.15929996 -0.17295154  0.02509073  0.076467804
#> [17,] -2.411931e-01 -0.10310263  0.05610697  0.16252884  0.014201862
#> [18,]  1.253485e-01  0.12890401  0.12075017 -0.01475074 -0.127533667
#> [19,]  8.118437e-02  0.03614753 -0.02512084  0.05530060 -0.051662765
#> [20,]  2.184033e-01  0.04274783  0.08794909  0.01970933  0.025522722
#> [21,] -2.962104e-01 -0.09120573 -0.10425985 -0.11484095 -0.100035595
#> [22,]  1.502941e-03  0.18819808 -0.13374162 -0.15095740 -0.142427620
#> [23,] -3.465353e-01 -0.40805511  0.32783071  0.12635610  0.003067445
#> [24,] -3.275994e-01  0.33616894 -0.38951959 -0.56046929 -0.104571197
#> [25,]  1.829180e-02 -0.07219151  0.10953084 -0.07476091  0.096756126
#> [26,] -8.980970e-02 -0.01741723 -0.05214645  0.01583954  0.022513521
#> [27,]  1.666990e-01 -0.19723067 -0.13671583 -0.14907019  0.103686398
#> [28,]  8.128656e-05  0.23942737  0.06552856  0.08832575 -0.062106733
#>               [,6]         [,7]          [,8]         [,9]
#>  [1,] -0.239433334  0.155844488  0.0020307249  0.221032377
#>  [2,]  0.074753642  0.003564704 -0.0930840585  0.177946074
#>  [3,] -0.373209036 -0.012174302 -0.4518191262  0.268546025
#>  [4,]  0.039232497  0.040822831 -0.0117532668  0.035180031
#>  [5,] -0.076141087  0.045795710  0.0763457546  0.056560544
#>  [6,] -0.035297357 -0.022266264 -0.0292031904  0.030586033
#>  [7,] -0.069770375 -0.164987599 -0.0979599117 -0.165955406
#>  [8,] -0.062426561  0.319817045 -0.0029755525 -0.131774835
#>  [9,] -0.263105534  0.063420579 -0.0122937857 -0.035950460
#> [10,] -0.014892970 -0.180264128 -0.0395335200 -0.013540998
#> [11,] -0.071356055 -0.090583071  0.0049211183 -0.003053222
#> [12,]  0.025959483  0.067572738 -0.0009020837  0.022315379
#> [13,] -0.026806575  0.048589116 -0.0352399173 -0.033334650
#> [14,]  0.009965550 -0.015303809  0.0585800735  0.135588048
#> [15,] -0.015716793 -0.051525567 -0.0609977664  0.063260054
#> [16,] -0.001806742 -0.071858266 -0.0963685847 -0.075004435
#> [17,] -0.072364629 -0.029000327  0.1093925950  0.024425582
#> [18,] -0.018128616 -0.041290352  0.0284656776 -0.059157941
#> [19,] -0.046797995  0.037414744  0.0243278723  0.054696767
#> [20,] -0.069398109  0.103548019  0.0765053929 -0.060153531
#> [21,]  0.013407212  0.049679443  0.0579566818 -0.025461654
#> [22,] -0.064988246 -0.138063437  0.0146872968 -0.102637329
#> [23,] -0.209812251 -0.033347669 -0.5369317281 -0.729299105
#> [24,] -0.293435005  0.056808007 -0.1337527665  0.102523809
#> [25,]  0.035922018  0.141965039  0.1215844092 -0.048140183
#> [26,] -0.027806299 -0.064785091 -0.1399039131 -0.020406763
#> [27,]  0.280933745  0.040304877 -0.0967470178  0.208932272
#> [28,] -0.048240831  0.214196715  0.0517307758 -0.003417932
#> 
#> , , 15
#> 
#>               [,1]        [,2]          [,3]         [,4]         [,5]
#>  [1,]  0.147604320 -0.16465089  0.1659059029 -0.110102412  0.156880897
#>  [2,] -0.297440496  0.12963453 -0.0440150724  0.146271715  0.138808966
#>  [3,] -0.052794635 -0.25009794 -0.6967623393 -0.477001149 -0.012284812
#>  [4,] -0.326392559  0.07981201 -0.1073676217 -0.044124850 -0.114398390
#>  [5,] -0.141813635 -0.06615706  0.1469469032  0.016727258  0.005222095
#>  [6,] -0.062363359 -0.01440689  0.0101960867 -0.112286207  0.114369102
#>  [7,]  0.198231310 -0.39001183 -0.1227389929 -0.283767006 -0.700682081
#>  [8,]  0.381529582 -0.23609080  0.1382414954 -0.200830433  0.328414893
#>  [9,] -0.003729248  0.39944857  0.0804674755  0.005617811 -0.016367041
#> [10,]  0.014287762  0.10833168 -0.0313285614  0.130151959 -0.035349992
#> [11,]  0.043711074 -0.05744502 -0.0676090885  0.007636603  0.048747328
#> [12,]  0.132853969 -0.32221615 -0.0286042924  0.018553418  0.028296038
#> [13,]  0.047384516 -0.05313758 -0.0001304037 -0.028863138  0.026107156
#> [14,]  0.327770568 -0.10953491 -0.0194681250  0.083248170  0.007358391
#> [15,] -0.036021773 -0.13814545 -0.1435617436 -0.301749517 -0.186814832
#> [16,]  0.056808948  0.15260604 -0.0293948908  0.066258104  0.021298631
#> [17,] -0.103307362 -0.20599824 -0.0632080526  0.023362974  0.157347180
#> [18,]  0.148990034  0.25610092  0.0865912541  0.074690236 -0.010814476
#> [19,]  0.016938212  0.07105648  0.0797446193  0.088348849  0.009449075
#> [20,] -0.200566278  0.16450591 -0.1559274040  0.129057925 -0.015138184
#> [21,] -0.156434884 -0.22564447  0.1251652898 -0.047310808  0.110208682
#> [22,]  0.219837945  0.09081964 -0.0725989689 -0.044600200 -0.095954312
#> [23,] -0.080935793 -0.31172521 -0.2828203649 -0.023972838  0.304173199
#> [24,]  0.158728675  0.35936903  0.1983916715  0.436704429  0.373159134
#> [25,] -0.588826503 -0.02404308 -0.1562473432  0.187071698  0.087123053
#> [26,]  0.147726422 -0.13118348  0.1194132665  0.040286569  0.033709536
#> [27,] -0.232122275  0.07855235  0.1038565954  0.122919977  0.072759779
#> [28,] -0.239625180 -0.11738291 -0.3283089588 -0.115305639 -0.046558648
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.252241019 -0.004241764  0.099236385 -0.088941250
#>  [2,]  0.109118591 -0.007948890 -0.072240864 -0.020186408
#>  [3,]  0.524565706 -0.014504535 -0.296297941 -0.480773349
#>  [4,] -0.099537160 -0.095259892 -0.002527703 -0.005418941
#>  [5,]  0.167241017  0.081083553  0.068629461  0.138462341
#>  [6,]  0.071908908  0.032107493 -0.074378981  0.107536116
#>  [7,] -0.523158694 -0.002657321 -0.167582347 -0.209889218
#>  [8,]  0.378245317  0.010512640 -0.163173864 -0.116312630
#>  [9,]  0.108022651 -0.245732957 -0.085222822 -0.198358706
#> [10,] -0.063543932  0.176589588  0.146217485  0.021382436
#> [11,]  0.117694375  0.049004564  0.144728410  0.009423502
#> [12,]  0.064429253 -0.049184431  0.013356752  0.031318505
#> [13,]  0.090225349  0.001699329  0.039262082 -0.028606495
#> [14,] -0.015956215  0.040293409  0.002777573  0.008208019
#> [15,]  0.015536170  0.242854336  0.100445935  0.009226879
#> [16,] -0.002777329 -0.013448119  0.025770232 -0.115814176
#> [17,]  0.018862224  0.139870029  0.014616695 -0.062432957
#> [18,] -0.134360227  0.034306688  0.004958686 -0.124479178
#> [19,] -0.046382549 -0.065093917  0.055515940  0.036438963
#> [20,]  0.105905103  0.005772923 -0.004842132 -0.028160815
#> [21,]  0.021133099  0.150116772  0.023532180  0.089645206
#> [22,] -0.003151745 -0.043913088 -0.033172984 -0.086609987
#> [23,]  0.375133961  0.863888863  0.408043634 -0.297683909
#> [24,]  0.374036635  0.132045647  0.296630244 -0.525468513
#> [25,]  0.142899763  0.199177184 -0.117079173  0.078066910
#> [26,]  0.083283177  0.046631265  0.037986080 -0.006816489
#> [27,] -0.065835667 -0.195559584 -0.244457182 -0.195215845
#> [28,]  0.142046127  0.070960959  0.078098615 -0.063821017
#> 
#> , , 16
#> 
#>               [,1]         [,2]         [,3]         [,4]        [,5]
#>  [1,]  0.041933332 -0.081833889 -0.193603035  0.177001669 -0.07605966
#>  [2,] -0.081304682  0.295211131 -0.093782831 -0.118074712 -0.02418001
#>  [3,]  0.516623392 -0.507187197 -1.049744486 -0.006672368  0.22661401
#>  [4,] -0.001528526 -0.012661059  0.015396924  0.076009446 -0.02093010
#>  [5,]  0.378805541  0.051270314  0.012132462  0.118222882  0.11933543
#>  [6,]  0.154855570  0.003540370  0.011477040  0.096489539  0.10026360
#>  [7,]  0.080864602  0.398486371  0.371005601  0.002268249 -0.24838438
#>  [8,] -0.268538498 -0.234107393 -0.412913893 -0.114487144  0.04181794
#>  [9,] -0.099474371 -0.129673525 -0.057801044 -0.204488287 -0.07130473
#> [10,]  0.201232818 -0.046247417  0.021099430 -0.055360773 -0.07868077
#> [11,] -0.043388893  0.078155274  0.035894899 -0.046904541 -0.02218964
#> [12,] -0.060824595 -0.115934914 -0.044094317  0.082825115  0.05216158
#> [13,] -0.076976841  0.126746109  0.021732322  0.114555499  0.04300721
#> [14,]  0.168273337  0.041734594  0.078185865 -0.046316088 -0.07245076
#> [15,] -0.223218181 -0.100357499  0.004008073  0.120977042 -0.04911559
#> [16,]  0.118522089  0.120078787 -0.028116914 -0.099809128 -0.03672818
#> [17,]  0.058951416 -0.018240729 -0.096669059 -0.043878159 -0.07745590
#> [18,] -0.040421376 -0.041729025 -0.109631476 -0.004379521 -0.01077283
#> [19,]  0.087213265  0.028762344  0.047305657 -0.006048117 -0.11792810
#> [20,] -0.222514890 -0.018393828  0.371871746 -0.035164493 -0.04184560
#> [21,]  0.287357869 -0.057130480 -0.032115901 -0.019647311 -0.04481228
#> [22,] -0.038419622 -0.041345094  0.034611688  0.045590520 -0.04578714
#> [23,]  0.043597740  0.307401978  0.173466596 -0.151927991 -0.14221182
#> [24,] -0.201222344  0.001382968 -0.077921347 -0.152127315 -0.37163264
#> [25,]  0.213767650 -0.029372614 -0.013729233 -0.030314960 -0.03097025
#> [26,]  0.109571075 -0.165888388  0.081576332  0.135365752  0.11802997
#> [27,] -0.103068535  0.220814673  0.079728961 -0.201318035 -0.13263634
#> [28,] -0.257068271  0.046292663 -0.106614523  0.189825123  0.16768730
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.090671911  0.219342145 -0.043452766  0.072220411
#>  [2,]  0.048197145  0.044457720  0.099068361  0.001502113
#>  [3,]  0.827066627  0.363656524  0.583539996 -0.181796148
#>  [4,] -0.088003685 -0.060149577  0.104373547 -0.008782963
#>  [5,]  0.098735575  0.108642070  0.044107266  0.134900486
#>  [6,]  0.110317039  0.029080207  0.010574009 -0.172397120
#>  [7,] -0.424594908 -0.216882264  0.371709254 -0.035083456
#>  [8,] -0.041166033 -0.097701165 -0.236762596 -0.274214917
#>  [9,]  0.011597142  0.266160051  0.193803971  0.123885200
#> [10,] -0.070020626 -0.069206049 -0.057396221  0.061332222
#> [11,] -0.033564872 -0.034670346 -0.008882915 -0.006284833
#> [12,] -0.026221863  0.055441595  0.044789603  0.021621614
#> [13,] -0.021969797  0.031512403  0.057355414 -0.003434907
#> [14,] -0.042643195 -0.058215961 -0.056170894  0.016737880
#> [15,] -0.001216931 -0.014049005  0.093472780  0.013927142
#> [16,]  0.005753390 -0.044309856 -0.030715320  0.038375305
#> [17,]  0.269476937  0.104998326  0.010555426 -0.088935699
#> [18,]  0.068355973 -0.113125896  0.106036388  0.166591585
#> [19,] -0.105035645 -0.005245771 -0.049356732  0.043902038
#> [20,]  0.067031011  0.009026216 -0.015716035  0.004280084
#> [21,]  0.051464219  0.120361974 -0.034146595  0.048548227
#> [22,]  0.027167874 -0.015222046  0.044675878  0.063536424
#> [23,] -0.496340786 -0.563040828  0.097063666  0.259347405
#> [24,] -0.247292531 -0.546084863 -0.868140714 -0.234345243
#> [25,] -0.048563103 -0.079906701 -0.157365627 -0.050020339
#> [26,]  0.007161280  0.027778996  0.019029535  0.226380750
#> [27,] -0.023245087 -0.044044352  0.072600138  0.109521883
#> [28,] -0.010717508 -0.120085779 -0.169934500 -0.108044642
#> 
#> , , 17
#> 
#>               [,1]        [,2]        [,3]         [,4]         [,5]
#>  [1,]  0.101965580 -0.57759006 -0.16693996 -0.148247748  0.013258519
#>  [2,] -0.071573420  0.01970362 -0.05891603 -0.179736627  0.050952874
#>  [3,]  0.135451715  0.10339924 -0.08497023  0.443354925  0.749390189
#>  [4,]  0.153209616  0.11436401  0.04316598 -0.009376662  0.002576128
#>  [5,] -0.205552192  0.22495099 -0.00273780  0.066909856  0.090404200
#>  [6,]  0.016446682 -0.12666801 -0.17423990 -0.058796640  0.007710421
#>  [7,]  0.151236811 -0.05534882 -0.54600359 -0.272742490  0.321595309
#>  [8,] -0.059612050 -0.08506078  0.15615551 -0.088854127 -0.075292157
#>  [9,] -0.047226595 -0.08189888 -0.26180463 -0.181657674  0.059859824
#> [10,] -0.128282062  0.25691220 -0.04045392 -0.180384488 -0.034245729
#> [11,]  0.180418586 -0.07340903  0.15907172  0.154452923  0.018804922
#> [12,] -0.208944522 -0.07354835 -0.08232443 -0.064074151 -0.094897725
#> [13,]  0.057960637  0.03774087  0.02587972 -0.001820097  0.046752801
#> [14,]  0.194778755 -0.04551746 -0.04328279 -0.014143321 -0.036916677
#> [15,]  0.014153561 -0.07659843  0.01147290 -0.001713447  0.155744306
#> [16,] -0.060159708  0.15311318  0.06928203  0.077279459 -0.087758881
#> [17,]  0.199566704 -0.07203002  0.06370576 -0.134810339  0.048531670
#> [18,]  0.220142763 -0.03093698  0.10173691  0.026295304  0.073869264
#> [19,] -0.164423830 -0.06976939  0.06237647 -0.017875368 -0.068117946
#> [20,]  0.085452620  0.37962142  0.03335777 -0.080906124  0.098146256
#> [21,] -0.160802983  0.03743022  0.18339893  0.217559797  0.029034990
#> [22,] -0.227811142 -0.10272388  0.12223199  0.042050096  0.010498062
#> [23,]  0.008454865  0.32518709  0.03878518  0.348228490  0.367915044
#> [24,] -0.187457940 -0.01362220  0.17278576  0.225212857 -0.250108421
#> [25,] -0.087063278  0.27543425  0.23180022  0.072436364 -0.080151873
#> [26,] -0.408504543  0.17364539  0.12785268 -0.004994512 -0.139965409
#> [27,]  0.564619132 -0.24415965 -0.12300968  0.189021891  0.140343493
#> [28,] -0.082860947  0.04461312  0.26706843 -0.208379198  0.011410466
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,] -0.002863704 -0.376816329 -0.525367065 -0.370252794
#>  [2,] -0.048088777  0.081659853 -0.041522264  0.060619315
#>  [3,]  0.522000582  0.490548539 -0.238987292 -0.581000823
#>  [4,]  0.005098234  0.017435311 -0.057204040 -0.033626325
#>  [5,]  0.008056788 -0.006370312  0.040961731 -0.014932731
#>  [6,] -0.059759199 -0.021811118  0.084991997 -0.190912507
#>  [7,]  0.233413131  0.012051221  0.117392204 -0.215358179
#>  [8,] -0.076450704  0.162697765 -0.153673441 -0.347087746
#>  [9,]  0.153672780  0.087670839 -0.035009750 -0.005313205
#> [10,]  0.068299235  0.005297951 -0.077868536  0.012831620
#> [11,] -0.050304067 -0.107749597 -0.117951235 -0.070190403
#> [12,]  0.031199426  0.027761009 -0.017051943  0.046375768
#> [13,]  0.022734488  0.028328461 -0.075960842 -0.035219420
#> [14,]  0.005137529 -0.061186199 -0.120342839 -0.071376942
#> [15,]  0.031117758 -0.005150494 -0.031022892 -0.030099223
#> [16,] -0.123425876 -0.088475691 -0.156874932 -0.366127652
#> [17,] -0.135296378  0.019850180  0.041308796 -0.015624912
#> [18,]  0.012701214  0.011256019 -0.037144069 -0.094459564
#> [19,] -0.042219170  0.067422053  0.093522975  0.057059911
#> [20,]  0.032290333  0.032340454  0.027739950 -0.042105131
#> [21,]  0.099804775 -0.032374423  0.090844626 -0.050185006
#> [22,] -0.068579866  0.006377149  0.050273200  0.019540353
#> [23,] -0.141324364 -0.487178991 -0.555379613 -0.560248279
#> [24,] -0.368376324  0.316621151 -0.273438049  0.106165256
#> [25,] -0.088099847  0.036914732  0.102553720 -0.141385292
#> [26,] -0.007489348  0.005541900  0.019856666 -0.135072624
#> [27,]  0.244974223 -0.090615139  0.004780378  0.101401528
#> [28,]  0.036073836  0.073209935 -0.202846409 -0.195109459
#> 
#> , , 18
#> 
#>               [,1]         [,2]         [,3]         [,4]          [,5]
#>  [1,]  0.105268486  0.223301955 -0.007833438  0.104034128  0.1062756968
#>  [2,] -0.412779615  0.144504861  0.079207157 -0.129077449 -0.0882768525
#>  [3,]  0.132731450 -0.131099157 -0.222436567 -0.210286915 -0.5547902621
#>  [4,]  0.192284149  0.060724157  0.060190876  0.028696719 -0.0015439738
#>  [5,] -0.046604382 -0.287342136 -0.255111879 -0.105713839  0.0714607686
#>  [6,]  0.059230722  0.029168854 -0.007085954 -0.015725399  0.1160345800
#>  [7,] -0.207913369  0.137203982  0.133247040  0.232183222 -0.2066988593
#>  [8,]  0.129691973 -0.237920965 -0.303403188 -0.358517379 -0.1970340192
#>  [9,]  0.211387993  0.258680970 -0.174339914 -0.070092991  0.2270244166
#> [10,]  0.228666494 -0.022121776  0.058298928  0.044400796 -0.0636475017
#> [11,] -0.165027882 -0.111432411 -0.103732473  0.028660414  0.0373961354
#> [12,]  0.057879564  0.034546118  0.006474236 -0.087917880  0.0021412873
#> [13,]  0.048816779  0.018857142 -0.025635901  0.003516698 -0.0001666655
#> [14,] -0.093583187  0.169804777  0.057433554  0.062584816 -0.0442314663
#> [15,]  0.002391330  0.050419281 -0.234207625 -0.150578173 -0.0164013125
#> [16,] -0.077703651 -0.079148132  0.268057920  0.250818912  0.1563640732
#> [17,] -0.166925039  0.004446273 -0.149217295 -0.089363191 -0.0534223134
#> [18,]  0.453949082  0.166546038 -0.102904171  0.005703761  0.0102356859
#> [19,] -0.239194644 -0.287153633  0.130737142 -0.073257377  0.0043393240
#> [20,]  0.089262143  0.037631193  0.193818180 -0.063368151 -0.0310826154
#> [21,] -0.079472147 -0.108658632 -0.161970581  0.078776630 -0.0204505689
#> [22,]  0.098355501 -0.121721171  0.090526484  0.100928354 -0.0174602298
#> [23,]  0.064849986 -0.399953514  0.163572044  0.384273107  0.4971634548
#> [24,] -0.250250203 -0.425401787  0.305964292  0.197012022  0.1532967508
#> [25,] -0.208859896 -0.386877117 -0.041691045 -0.005114722  0.0435348672
#> [26,]  0.001591316 -0.072354374 -0.057916615  0.050554209  0.0950653547
#> [27,]  0.094258780  0.168491451  0.161386668  0.075980373  0.1677659586
#> [28,]  0.409081415 -0.224150794 -0.058370519 -0.124629083  0.0254470360
#>                [,6]         [,7]          [,8]         [,9]
#>  [1,]  0.1108771975 -0.003957958  0.0343075019  0.127383423
#>  [2,] -0.0308883224  0.022682250  0.0658991392 -0.010001514
#>  [3,]  0.1429687571 -0.050603305  0.4743508031  0.159892663
#>  [4,] -0.0344136769  0.012811778 -0.0121555779  0.035480825
#>  [5,]  0.0576259815 -0.081915552  0.1062189698 -0.055568832
#>  [6,]  0.2332566552  0.097310100 -0.0143650928 -0.094708314
#>  [7,]  0.1040817939  0.585834704  0.4682241683  0.262906482
#>  [8,]  0.2015121570 -0.153792555 -0.4914886907 -0.356486293
#>  [9,]  0.0510276284 -0.119418349 -0.1777523644 -0.032023847
#> [10,] -0.0066162225  0.183525473  0.0545633232  0.077688058
#> [11,] -0.0725416160 -0.006963041 -0.0703269695 -0.021583832
#> [12,] -0.0893846839 -0.033084418  0.0561911962  0.039158102
#> [13,] -0.0517001388  0.010691938 -0.0003213485  0.062655593
#> [14,] -0.0126870155 -0.002701319  0.0038289821 -0.026335753
#> [15,]  0.0154705055  0.020156970  0.0624184799  0.106673289
#> [16,]  0.1112264226  0.042817354 -0.0382364440 -0.006283776
#> [17,]  0.0747378236 -0.020095172  0.0469519395 -0.118422257
#> [18,]  0.0658703072  0.003461966 -0.1265707812 -0.041119634
#> [19,] -0.0005008861 -0.027823861 -0.0202153419  0.030350000
#> [20,] -0.0554617623 -0.009892589 -0.0325565426  0.001185712
#> [21,]  0.0048534363 -0.144570800 -0.0141393196 -0.083318142
#> [22,] -0.0077533341  0.039658361 -0.0243012383  0.024828711
#> [23,]  0.7612248419 -0.012131771 -0.5017177236  0.215045300
#> [24,]  0.2524664668  0.194579591 -0.4379808806  0.184814926
#> [25,] -0.1438259959 -0.149507274  0.0425678816  0.190952443
#> [26,]  0.0689462020 -0.011118176  0.0185967931 -0.020357754
#> [27,]  0.1672721571 -0.054869484 -0.1183614962 -0.116131256
#> [28,]  0.0615160518  0.112210116 -0.0111125830  0.253777860
#> 
#> , , 19
#> 
#>              [,1]         [,2]        [,3]         [,4]         [,5]
#>  [1,] -0.15153592  0.101117392 -0.05569718 -0.091812652  0.096077666
#>  [2,]  0.03157548 -0.107557793 -0.15649131 -0.181740049 -0.055832145
#>  [3,]  0.25650924 -0.097404628  0.03281218  0.083435726  0.121780263
#>  [4,] -0.15883942  0.279777193 -0.02602452  0.064603266 -0.059177293
#>  [5,]  0.31934007 -0.151170783 -0.35753651 -0.247981737 -0.057161722
#>  [6,] -0.03585611 -0.105789951 -0.04326339 -0.014896333  0.116442033
#>  [7,]  0.21428460 -0.002472659  0.07074723 -0.091583381  0.079770774
#>  [8,] -0.01870022 -0.163096192 -0.02811638  0.236477890  0.071398443
#>  [9,] -0.47012280  0.138970740  0.25889668 -0.073825282 -0.296957736
#> [10,]  0.09859616 -0.051129499 -0.04393569 -0.056606331  0.105961095
#> [11,]  0.01831132 -0.199157551 -0.10362751 -0.046286933 -0.053808848
#> [12,]  0.15892025 -0.291808035 -0.06751119  0.063282470 -0.049377625
#> [13,] -0.10887239  0.110531409 -0.03614749  0.004835759 -0.089795348
#> [14,]  0.10242615 -0.116515849  0.06028314 -0.004369116  0.021223336
#> [15,]  0.09429046 -0.099051810 -0.05107260 -0.177519093  0.230915968
#> [16,] -0.24193119  0.057320326  0.04690516 -0.010666465 -0.067153722
#> [17,]  0.06699149 -0.221415440 -0.05100470 -0.105107511  0.195375548
#> [18,]  0.04176022 -0.006782737 -0.15404938 -0.102288137  0.065716738
#> [19,]  0.02255241  0.006591611  0.03363238  0.209920094  0.010849167
#> [20,] -0.19751488  0.135422706 -0.03712905  0.047113820 -0.010604179
#> [21,]  0.06313981 -0.054903292  0.04801135 -0.152743822 -0.056898402
#> [22,]  0.24194555 -0.338151293 -0.01274709  0.003649274  0.095530697
#> [23,]  0.17055420  0.037466740  0.36683973  0.424542986 -0.209456216
#> [24,] -0.11233295  0.029138786  0.03405436  0.650392740 -0.018319184
#> [25,]  0.08628993 -0.066882424 -0.03219007 -0.066068638  0.030141380
#> [26,] -0.13029391  0.003441783  0.01770818 -0.017296872 -0.159622845
#> [27,]  0.27311490  0.129398539  0.12583268  0.115951006 -0.009168918
#> [28,] -0.30464633  0.073345091  0.02365416  0.250670069  0.162120848
#>               [,6]         [,7]         [,8]          [,9]
#>  [1,]  0.052469652 -0.039213653 -0.088577953 -0.1533758341
#>  [2,] -0.115179732 -0.179106988  0.036801635 -0.0750629736
#>  [3,] -0.455839384 -0.299307914  0.076294593  0.1207427853
#>  [4,] -0.047814337 -0.095065433  0.089610170  0.0369936517
#>  [5,]  0.035088300  0.014596400 -0.065705861 -0.1331045736
#>  [6,]  0.005612505  0.043193358 -0.265577996  0.0118754676
#>  [7,]  0.044739560 -0.233415158  0.029826145  0.0230763018
#>  [8,] -0.107156729 -0.166189558 -0.167573499  0.0562175416
#>  [9,] -0.141218892  0.019987887 -0.045846731  0.0384216951
#> [10,]  0.127166355  0.068988087  0.083594317 -0.0442231133
#> [11,] -0.061376018 -0.082017197 -0.017686967  0.0163371039
#> [12,] -0.002258397  0.077692930 -0.007025398 -0.0181482473
#> [13,] -0.080131178 -0.033804334  0.016737410  0.0380182405
#> [14,] -0.036397374 -0.037522997  0.088821630  0.0000744296
#> [15,]  0.238092846 -0.074901870  0.008048849 -0.0478330779
#> [16,] -0.094078393 -0.194421781 -0.025303784 -0.0300093632
#> [17,]  0.146792007  0.214812167  0.172595963  0.1252028791
#> [18,]  0.038224226  0.003110658  0.136313868 -0.0111844778
#> [19,] -0.086817489  0.142615378  0.061223439  0.0358392043
#> [20,]  0.077612327  0.028307175 -0.027317759  0.0303807673
#> [21,] -0.032929353  0.004184840 -0.039293387 -0.0834609798
#> [22,]  0.030947922 -0.036308752 -0.112466236  0.0107699300
#> [23,]  0.222401331  0.249276351  0.972338872  0.5940307109
#> [24,]  0.127706789 -0.061990027 -0.118772539  0.0150911984
#> [25,]  0.087792542  0.067703840  0.102999978  0.1295779545
#> [26,] -0.043100784 -0.024634302 -0.032500471 -0.0544717375
#> [27,] -0.098576039 -0.162957496  0.186963004  0.2237420840
#> [28,] -0.063664482 -0.067487864 -0.138873976 -0.2021433880
#> 
#> , , 20
#> 
#>               [,1]        [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.364302766  0.05334922 -0.099676918 -0.137706793  0.150728191
#>  [2,] -0.298171502  0.11018713 -0.176767276  0.091710954 -0.098163940
#>  [3,] -0.047449101  1.09514251  0.175959625 -0.158360798 -0.248880996
#>  [4,] -0.130217256  0.12548980  0.036918462  0.019638733 -0.036518804
#>  [5,]  0.072713986  0.05143650  0.084289817 -0.243810302 -0.061390243
#>  [6,] -0.047436904  0.05398246  0.163086624  0.098242091  0.039569352
#>  [7,]  0.016252474 -0.01389627 -0.015126097 -0.039740125 -0.414099960
#>  [8,] -0.065030391  0.16783524  0.214385101  0.030959018  0.048116492
#>  [9,] -0.068017275 -0.35177117 -0.235029988 -0.119496385  0.046861200
#> [10,]  0.177414553 -0.11269491 -0.058534230 -0.007332431  0.070942201
#> [11,]  0.054394512 -0.09928328  0.001664657  0.199413982  0.058096880
#> [12,] -0.139944543 -0.04884225  0.071968474 -0.140125419 -0.105406203
#> [13,]  0.229209656 -0.01225796 -0.046824776  0.048658171  0.101802333
#> [14,]  0.023112555 -0.02545212  0.028665398 -0.013427237 -0.042962207
#> [15,] -0.231475673  0.05139035 -0.067818570 -0.091902764 -0.074275370
#> [16,]  0.100219708 -0.01265784 -0.046631116  0.018486568  0.102801091
#> [17,] -0.183676050  0.11701352 -0.149866328  0.053154000 -0.129708938
#> [18,]  0.093922431  0.16095800 -0.012876539 -0.017485589  0.003846851
#> [19,] -0.029890482 -0.16721772 -0.019245718 -0.163556040  0.022591412
#> [20,]  0.100093530 -0.06450326  0.155774648  0.053467382 -0.125475111
#> [21,]  0.366156923  0.18703531 -0.041997923 -0.012834682  0.074028926
#> [22,] -0.121756507  0.03855080  0.069219138  0.015370409 -0.016817241
#> [23,] -0.217161596 -0.02014380 -0.107267570 -0.467920336 -0.343262784
#> [24,]  0.041482531 -0.11507349  0.190138391 -0.103221183  0.179729884
#> [25,]  0.001498904  0.32092711  0.035672465  0.145494146  0.176345024
#> [26,]  0.176678559 -0.31940303 -0.027159419 -0.077154907  0.021347607
#> [27,] -0.063561196  0.02861829 -0.098322167 -0.016911484 -0.040169618
#> [28,] -0.010040484 -0.15455289 -0.155935061 -0.052641954 -0.115962903
#>                [,6]         [,7]        [,8]          [,9]
#>  [1,]  0.2675861217 -0.132976520  0.10917646  0.0921513682
#>  [2,]  0.0346902875 -0.123487468 -0.17076690 -0.1647497842
#>  [3,] -0.0266777817 -0.003924550  0.10462156  0.1953590568
#>  [4,] -0.0774406973 -0.026359852 -0.01190665 -0.0363300972
#>  [5,] -0.1859048418 -0.044573563 -0.05215728 -0.1191936450
#>  [6,] -0.0609068812  0.155315820 -0.06869754 -0.0626471285
#>  [7,] -0.1100120279 -0.031016191 -0.27327220  0.1643749810
#>  [8,] -0.0030352066 -0.157285518 -0.16447173 -0.3258663021
#>  [9,]  0.0183401680 -0.013934935  0.05294027  0.0244567805
#> [10,] -0.0942964017 -0.017070297 -0.15315658 -0.1479035960
#> [11,] -0.0360752157 -0.028454837 -0.02889083 -0.0057608000
#> [12,] -0.0042013418 -0.028569825  0.01194008 -0.0163212330
#> [13,]  0.0338701567 -0.005548545 -0.00686000 -0.0763516347
#> [14,]  0.0138591667  0.040582298  0.08179289  0.0557244021
#> [15,] -0.1434332156  0.163405718  0.01885673 -0.0251096017
#> [16,] -0.1505285255 -0.097928646 -0.02156448 -0.0955267614
#> [17,]  0.1739410871 -0.048306846 -0.12992607 -0.2391611649
#> [18,]  0.0207908668  0.047036491 -0.11518563 -0.1850131834
#> [19,]  0.1340534082 -0.032102010  0.01525140  0.0890962943
#> [20,] -0.0334159951  0.068237071  0.07179187  0.0009583088
#> [21,]  0.0472274225 -0.033993595  0.01277285 -0.0148213196
#> [22,]  0.0004970908  0.034193438 -0.06461371 -0.0383162963
#> [23,] -0.5842211113 -0.287924065  0.32265750  0.3403109586
#> [24,]  0.1963933832 -0.144055770  0.08746443 -0.0513147505
#> [25,]  0.0316304429  0.018265823 -0.12068865 -0.3454586945
#> [26,] -0.1171292033 -0.105527489 -0.06422727 -0.0367283089
#> [27,]  0.2636447843  0.165352552  0.11201215  0.0782820413
#> [28,]  0.1173287520 -0.001457654  0.15493652  0.0509134508
#> 
#> , , 21
#> 
#>               [,1]         [,2]        [,3]         [,4]        [,5]
#>  [1,]  0.125183377 -0.006794768  0.33609003  0.145311859 -0.07147370
#>  [2,]  0.356519350 -0.322679641 -0.08227936 -0.112692937  0.03582356
#>  [3,] -0.334206615  0.331231601  0.55291066  0.729043256  0.34089930
#>  [4,]  0.246594618  0.075502188 -0.03762147 -0.008278522  0.02296328
#>  [5,] -0.324523000 -0.248591901  0.00952116 -0.077176602 -0.21077661
#>  [6,]  0.335341107  0.070838149 -0.02578812  0.105484797  0.03057009
#>  [7,] -0.031583306 -0.257065829 -0.18500888 -0.045993510 -0.13468042
#>  [8,] -0.285842909 -0.016434002 -0.13253714 -0.251160649 -0.40724026
#>  [9,] -0.256124846 -0.076305859 -0.10153871 -0.239832062 -0.21268148
#> [10,]  0.265241459  0.088723981 -0.03908967 -0.020664102  0.11320245
#> [11,]  0.039001101  0.032573483 -0.06070680 -0.009718508  0.01715110
#> [12,]  0.094910846 -0.101635982  0.00413206  0.061247832  0.02133060
#> [13,] -0.093092834  0.020011263 -0.02944932  0.029195340 -0.10786264
#> [14,]  0.127947539 -0.122579776  0.04627053 -0.097140138 -0.05737974
#> [15,] -0.044409307  0.050057739  0.30468527  0.174878002 -0.09446134
#> [16,] -0.012241612  0.276481898 -0.03154596 -0.008006313  0.02516000
#> [17,]  0.185710906 -0.029706893  0.09590626  0.029601730  0.08375618
#> [18,]  0.189711849 -0.195139890  0.18786032  0.155704154  0.05057664
#> [19,] -0.066426251  0.056257817 -0.24044973 -0.142860151 -0.01405328
#> [20,] -0.091903124  0.055987990  0.10583884 -0.036856434 -0.09359775
#> [21,] -0.011324363  0.083500400  0.04924713 -0.027714971  0.01546587
#> [22,] -0.185928110  0.168600516 -0.02509285  0.018247685  0.03397162
#> [23,]  0.308347034  0.168127816  0.11859651  0.144015075 -0.12661744
#> [24,]  0.007380446  0.347774250 -0.36312773 -0.125670501  0.43826187
#> [25,]  0.066469661 -0.036098155 -0.28069864 -0.240421458 -0.12389108
#> [26,]  0.387697733  0.163376587  0.01044116  0.058309130 -0.01106505
#> [27,]  0.283559219 -0.274331425  0.08035778 -0.058773584  0.16707189
#> [28,] -0.056259275  0.176041327  0.10933081  0.092812747 -0.03412389
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,] -0.164472286 -0.242947429 -0.207156226 -0.234447797
#>  [2,] -0.002720976 -0.080428162 -0.019025002  0.057611941
#>  [3,] -0.061805965  0.316545238  0.521541072  0.735001721
#>  [4,] -0.001918418  0.039452683 -0.035286080  0.060954500
#>  [5,] -0.214768826 -0.055230419  0.019259661 -0.017747848
#>  [6,]  0.055643797  0.169302137  0.066842541  0.312939070
#>  [7,] -0.022936406 -0.195743843 -0.151942232 -0.141456293
#>  [8,] -0.172415427 -0.015208323 -0.060335810  0.009169880
#>  [9,] -0.054575040 -0.255791464 -0.069169416  0.002233517
#> [10,]  0.161595111 -0.179431306 -0.271807504 -0.286637732
#> [11,]  0.080571726 -0.008922417  0.014879342  0.054479298
#> [12,]  0.009909036 -0.043045667  0.027955140  0.020538040
#> [13,]  0.009442456 -0.037032760 -0.164012029 -0.087792878
#> [14,] -0.052746511 -0.086058286 -0.012220251  0.011161380
#> [15,] -0.071441000 -0.073317004  0.116205241  0.065552068
#> [16,]  0.087275446  0.067593982  0.015528395  0.128975754
#> [17,] -0.134244735 -0.151652481 -0.003693230 -0.013732125
#> [18,] -0.122565332 -0.024008129 -0.158009452 -0.022399069
#> [19,] -0.091235491  0.083102275  0.005805328 -0.055436003
#> [20,]  0.083878347  0.031827812  0.017286240 -0.010841697
#> [21,] -0.060885564  0.057182441  0.073097432 -0.011414959
#> [22,]  0.034720271  0.035776230  0.079067647 -0.019627446
#> [23,]  0.315867038  0.349618970  0.783705251  0.387194446
#> [24,]  0.708877899 -0.003125909 -0.539998253 -0.301780619
#> [25,] -0.088533455 -0.120490193  0.101270716  0.150592481
#> [26,]  0.104168202  0.050621675  0.006836190  0.045740486
#> [27,]  0.143188087  0.293612837  0.211249406  0.218639839
#> [28,]  0.073736042 -0.069576336 -0.109785373 -0.386000274
#> 
#> , , 22
#> 
#>               [,1]         [,2]        [,3]         [,4]         [,5]
#>  [1,]  0.354417766 -0.231740003  0.10851904  0.116760652 -0.094024470
#>  [2,] -0.143982344  0.036758239  0.02854054 -0.060435500 -0.173263041
#>  [3,]  0.006478564  0.147837725  0.02336547  0.158151999 -0.217749226
#>  [4,] -0.130550652  0.045285508 -0.02802313 -0.064112885  0.024846105
#>  [5,]  0.425602427 -0.455883513 -0.29650855 -0.076111760 -0.242041290
#>  [6,] -0.156265588  0.057648570  0.09896750 -0.129104713 -0.100456472
#>  [7,] -0.005167410 -0.014040079 -0.45173020 -0.188926892  0.210240726
#>  [8,] -0.061187997 -0.242602648  0.06392877  0.338644185  0.141141456
#>  [9,] -0.221767707  0.323510873  0.19302245  0.149862759 -0.188232008
#> [10,]  0.029193058 -0.054460024  0.19315879  0.021229604  0.102723563
#> [11,] -0.100972559  0.105370170 -0.15100029 -0.023314238 -0.064797678
#> [12,]  0.099896209 -0.036133840 -0.05367657 -0.000294280 -0.050898907
#> [13,] -0.069622580  0.043254650  0.03732134  0.051731657  0.049930542
#> [14,]  0.158001310  0.038923467  0.05350386  0.027763062 -0.012590731
#> [15,] -0.118397940 -0.144448605 -0.12640549  0.023841068 -0.036399930
#> [16,] -0.161837381  0.282300900  0.16374070 -0.059418549 -0.037370746
#> [17,]  0.193611847 -0.124760355 -0.01510887 -0.070736290 -0.298502351
#> [18,] -0.089448929 -0.094447847 -0.05116415  0.040156150 -0.057300584
#> [19,]  0.224447658  0.097071186  0.01687609 -0.113004413 -0.090716380
#> [20,]  0.147014551  0.074793154  0.00746691  0.062082800  0.090122053
#> [21,] -0.073081758  0.012602723 -0.08868389 -0.049929725 -0.020962992
#> [22,] -0.305518959  0.158716986 -0.03452498 -0.003677906  0.046583209
#> [23,] -0.036450810 -0.012245606  0.02672066  0.149380520  0.608380818
#> [24,]  0.005541970  0.402212424  0.51708571  0.031368423 -0.002966873
#> [25,]  0.373083183  0.080542069 -0.03348917 -0.261102386 -0.220469516
#> [26,] -0.127580350  0.001818086 -0.04482941 -0.082816056  0.044361755
#> [27,] -0.122145733  0.114542846  0.03013757  0.122363359  0.070534090
#> [28,]  0.212575422  0.166561397  0.07289334 -0.145382475 -0.087311159
#>                [,6]         [,7]         [,8]         [,9]
#>  [1,] -0.2834958464 -0.285773972 -0.253882712  0.117332656
#>  [2,] -0.1502414878  0.026156315 -0.036286370 -0.017582688
#>  [3,]  0.8951203622  0.315716006  0.346385775 -0.099930873
#>  [4,] -0.0737713468 -0.001998259  0.027576435  0.065550795
#>  [5,]  0.1017022844 -0.027095946 -0.096368822 -0.246509768
#>  [6,] -0.0238823763 -0.124094054 -0.118426397 -0.001134700
#>  [7,]  0.1505510635 -0.339251035 -0.146683058 -0.253269837
#>  [8,]  0.0111440740  0.142024472  0.357210925  0.100638682
#>  [9,] -0.3077840723  0.067257293  0.042923493 -0.180405671
#> [10,]  0.0753965785  0.076028724 -0.010580536 -0.002290837
#> [11,] -0.0541494550 -0.036822668  0.081803447 -0.025601591
#> [12,]  0.0449510656  0.136903217  0.054650207  0.007939221
#> [13,]  0.0226465698  0.053853758  0.051101648  0.030227516
#> [14,] -0.0380387100 -0.019916909 -0.005378397 -0.031703706
#> [15,]  0.0806108759 -0.008961391 -0.061710338 -0.046003913
#> [16,]  0.0519630439  0.048925426  0.176754837  0.032510670
#> [17,]  0.0690242034  0.183120935  0.033913108 -0.121125891
#> [18,]  0.0861935686 -0.047378997  0.012783811  0.005049753
#> [19,] -0.0585498889 -0.056465102 -0.016076543  0.040500716
#> [20,]  0.0353731705  0.057245824  0.040447988 -0.029481838
#> [21,]  0.0887519077  0.066078620  0.003775793 -0.005093900
#> [22,]  0.1396174310  0.066613264  0.113822051 -0.027780124
#> [23,]  0.1376564991 -0.649406043 -0.500324836 -0.200801580
#> [24,]  0.1606514426  0.058437093  0.139380423  0.386586159
#> [25,] -0.0819749753 -0.015532456 -0.186165140 -0.096435456
#> [26,] -0.0007534048 -0.036117598 -0.011382722 -0.112371685
#> [27,] -0.0203283215  0.022276829 -0.016266424 -0.148513126
#> [28,] -0.0518573376 -0.248024068 -0.067441310 -0.053981859
#> 
#> , , 23
#> 
#>               [,1]        [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.024247281 -0.40194603 -0.228861431 -0.011407690 -0.168175021
#>  [2,] -0.396259157 -0.08408589  0.092710761 -0.102223529 -0.206740315
#>  [3,] -0.170351498 -0.08761064  0.425776943  0.005891622  0.203738755
#>  [4,] -0.331039196 -0.03023945 -0.071102955 -0.105600598 -0.102046843
#>  [5,] -0.113723138  0.01061062  0.028507823  0.058137551 -0.175605780
#>  [6,]  0.039947986 -0.26562305  0.056506866  0.045398351  0.182125460
#>  [7,] -0.114152773 -0.07805611  0.071165189  0.352281067  0.016528848
#>  [8,]  0.005462898 -0.14547073 -0.010920726 -0.242773396  0.210298773
#>  [9,] -0.051932122 -0.01769313 -0.138556525  0.016466024 -0.161288227
#> [10,]  0.117772792 -0.09793114  0.237455651  0.204344857 -0.226218480
#> [11,] -0.092291853  0.20692309 -0.239729300 -0.246215134 -0.038249632
#> [12,] -0.015566546 -0.19211804 -0.109932936 -0.204279539 -0.073659878
#> [13,] -0.138372485  0.11044439 -0.040002126 -0.014644426  0.030220652
#> [14,]  0.137388002 -0.02686624 -0.007955493 -0.069405863 -0.056198140
#> [15,]  0.067559190  0.05761558  0.036883104 -0.057927814 -0.119867410
#> [16,] -0.077577320 -0.16653105  0.015364632  0.114152643  0.031415022
#> [17,]  0.029828284 -0.12327997 -0.045394516 -0.129979526 -0.051260095
#> [18,]  0.213913543  0.02060983  0.046615566  0.068027077 -0.086553732
#> [19,] -0.127323911  0.12489216  0.097368404 -0.061029908 -0.110764560
#> [20,] -0.133686531  0.24207901  0.170513140 -0.066571449  0.014789477
#> [21,]  0.096673729 -0.31054445 -0.119785923  0.022319051  0.030668822
#> [22,]  0.039025595  0.24894801  0.102620813  0.017279037  0.046241096
#> [23,] -0.418336757 -0.37615407 -0.480072627  0.071225888  0.040366687
#> [24,]  0.173347979  0.25876089 -0.536618940 -0.014925571  0.155586678
#> [25,]  0.096155342 -0.44527130  0.059131563  0.056567680 -0.000959508
#> [26,] -0.061689262 -0.05133613 -0.141393065 -0.047809430  0.033402098
#> [27,]  0.039163165  0.02832644 -0.077954653 -0.010557654  0.052398560
#> [28,] -0.064444115  0.23861918  0.011825145 -0.174427850  0.020474127
#>                [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.0677203456 -0.124627606 -0.077236497  0.023396876
#>  [2,] -0.1498088190 -0.041132046  0.078299210 -0.092554561
#>  [3,] -0.7000502665 -0.611248027  0.109917337 -0.143596293
#>  [4,] -0.0336672557  0.051758414  0.083381372 -0.053546891
#>  [5,] -0.1729504279 -0.104647575 -0.035756630 -0.022246313
#>  [6,] -0.0732354217 -0.111917719  0.042543304  0.236989794
#>  [7,]  0.3970049256  0.417778668  0.382655208 -0.313679634
#>  [8,] -0.2054581191  0.019690980  0.062902085  0.289130768
#>  [9,]  0.0081744699 -0.230340189  0.022879001  0.019900977
#> [10,] -0.1503437068  0.026468782 -0.157114481 -0.248198309
#> [11,] -0.0240835520 -0.013646797  0.020120452  0.034964415
#> [12,]  0.1088936854 -0.016574363 -0.009662581 -0.017889076
#> [13,] -0.0022626504 -0.033491229  0.059792674  0.035252246
#> [14,] -0.0446683671  0.052085270  0.005172143  0.027391952
#> [15,] -0.1473191021  0.026377737 -0.072442571 -0.074596735
#> [16,] -0.0751831186  0.056239550  0.039769547  0.089944709
#> [17,] -0.0906130286  0.082173474  0.027650572  0.053410183
#> [18,] -0.0617284993  0.054850800  0.074039662  0.028260677
#> [19,] -0.0630796713  0.049430873  0.044932771  0.010986555
#> [20,] -0.1002207660 -0.016578708 -0.033045775 -0.018707044
#> [21,] -0.0005333471  0.001119099 -0.077408595 -0.043844838
#> [22,]  0.0311988969  0.072696746  0.026265686  0.033660138
#> [23,] -0.1100945163  0.155792787 -0.331587961 -0.545021515
#> [24,]  0.2540950950  0.066094886 -0.279068821  0.264543582
#> [25,] -0.0925174807 -0.045948424 -0.206570359 -0.082349964
#> [26,]  0.0081861746 -0.049807012 -0.003829162  0.143596363
#> [27,]  0.0802984588 -0.121740429 -0.121500021  0.008361982
#> [28,] -0.0498710856  0.231211304  0.292071506  0.063746111
#> 
#> , , 24
#> 
#>              [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.12819270  0.213157713 -0.083962273  0.121424991  0.114907009
#>  [2,]  0.06517567 -0.017005820  0.013327854  0.054327192  0.031835384
#>  [3,] -0.05702713 -0.157280116 -0.608348271  0.440645173  0.432500339
#>  [4,] -0.41843307 -0.085871865 -0.036365341 -0.021524820  0.044200005
#>  [5,]  0.09961594 -0.061687734 -0.044864513 -0.032805957 -0.128673351
#>  [6,]  0.05302187 -0.043414042  0.021214914  0.198298878 -0.031515232
#>  [7,] -0.12911204 -0.096308311 -0.263718974 -0.433288701  0.035772489
#>  [8,]  0.10544788 -0.007188837 -0.052404009  0.025637985 -0.421670722
#>  [9,] -0.16852958 -0.200406724  0.041981608 -0.241987614 -0.213513388
#> [10,] -0.15262142  0.032602207  0.270724312  0.042021110  0.117321253
#> [11,]  0.12216571 -0.081794932  0.104492484  0.053061141 -0.063307454
#> [12,]  0.07524937  0.064783578  0.040041709  0.091706266  0.026741169
#> [13,] -0.04787237 -0.005396422 -0.015648707 -0.001441343  0.008595380
#> [14,] -0.14215273 -0.073432655 -0.048827638 -0.028207128 -0.040907510
#> [15,]  0.10558271  0.088672816  0.088068218  0.066976559 -0.010989983
#> [16,] -0.28661983  0.218178053  0.147912398  0.079882544  0.111703772
#> [17,]  0.03503512  0.044395046 -0.123799683  0.079722077 -0.006754649
#> [18,]  0.01220336  0.081813471 -0.024887012  0.013234057 -0.020979820
#> [19,] -0.10406407 -0.108246216 -0.037731266  0.110342064  0.004167127
#> [20,] -0.03538375  0.106420593  0.001867342 -0.185553899 -0.024782617
#> [21,]  0.04087403 -0.001900157  0.068936235 -0.067766089 -0.258022099
#> [22,]  0.21700906  0.070034315  0.044881734  0.027627531  0.075610186
#> [23,] -0.40068524 -0.652497415 -0.388420288  0.003100719 -0.032541723
#> [24,]  0.29339371  0.048436823  0.058696657  0.395099019  0.671943116
#> [25,] -0.39687293  0.098693352 -0.033218321  0.032963840 -0.053107054
#> [26,]  0.23468585  0.076175560  0.197978843 -0.028882596 -0.056163200
#> [27,] -0.11535840 -0.304506700  0.005913297 -0.148894734 -0.171190190
#> [28,]  0.19225459  0.128315806 -0.235608321  0.035398358 -0.047490089
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.100656420  0.193125285  0.081512061 -0.199586345
#>  [2,] -0.012867109  0.019633631  0.115887931  0.003924510
#>  [3,]  0.950054815 -0.191175456  0.093503057 -0.269947847
#>  [4,] -0.064105013  0.096528537  0.031281218  0.087119722
#>  [5,] -0.267286603 -0.094444850  0.027482663 -0.012557556
#>  [6,] -0.021844551 -0.216195472  0.218005885 -0.079487738
#>  [7,] -0.147620778 -0.176510834 -0.017227024  0.102218032
#>  [8,]  0.087008496  0.140833829  0.026863522  0.039966159
#>  [9,] -0.164714517  0.128366269  0.106597393  0.151017286
#> [10,]  0.022044103  0.054498575  0.010079915 -0.037636281
#> [11,] -0.055790878 -0.025009803 -0.032540303 -0.010241999
#> [12,] -0.039495055 -0.003380584 -0.032722983 -0.017089901
#> [13,]  0.061661431  0.085931269  0.010144935 -0.027728638
#> [14,]  0.022859471  0.058076023  0.008507793  0.007924642
#> [15,] -0.087616816 -0.046030183  0.089510146 -0.008920630
#> [16,] -0.042994169  0.054134894 -0.031928789 -0.116631191
#> [17,]  0.035645355 -0.008969885  0.029962345 -0.119988527
#> [18,]  0.025313735 -0.084148438 -0.048255327 -0.019304233
#> [19,] -0.054886145  0.034457728  0.027708212  0.072854318
#> [20,]  0.064438120  0.005179029 -0.012938719 -0.022532621
#> [21,] -0.208437994 -0.072497606  0.020182509  0.016134021
#> [22,] -0.004806257 -0.054703818  0.037321174  0.064412100
#> [23,]  0.026493173  0.399098396 -0.218072401  0.212219523
#> [24,]  0.835279769  0.378339799 -0.140757040 -0.657646368
#> [25,] -0.139249773 -0.119960448  0.090304912  0.086704985
#> [26,]  0.003403765  0.049302024  0.006713644 -0.102549618
#> [27,] -0.023624718  0.106940524  0.066171063  0.067914177
#> [28,]  0.088965667  0.006843932 -0.202871629 -0.182125642
#> 
#> , , 25
#> 
#>               [,1]          [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.151991760 -0.0999965978 -0.058412259 -0.061816435  0.122086639
#>  [2,]  0.068380366  0.0695839438  0.096523633  0.283637514  0.091073479
#>  [3,]  0.127687020 -0.5137220366 -0.262199715  0.052090725  0.989792878
#>  [4,] -0.115823847 -0.1517760971 -0.090881742 -0.030044141  0.012574497
#>  [5,]  0.038772205 -0.3472123283 -0.073996809 -0.278085995 -0.240555839
#>  [6,]  0.118545491  0.2234628693  0.123300381 -0.079877317 -0.129829134
#>  [7,] -0.578327757  0.0344753732  0.008795593 -0.261456329 -0.045166209
#>  [8,]  0.077599023 -0.0008951033  0.097296763 -0.003096366  0.261750949
#>  [9,] -0.103296463 -0.2550173920 -0.038909008  0.028799816  0.048790939
#> [10,] -0.013864728 -0.0059588681 -0.146970576 -0.028749916 -0.234666092
#> [11,]  0.317977029 -0.0733357578 -0.133271774  0.047636491  0.080241517
#> [12,] -0.245737643  0.0098688666 -0.039754253  0.017390797  0.195838496
#> [13,]  0.007407182 -0.1709384401 -0.040851892 -0.020880770  0.166409305
#> [14,] -0.175262403  0.0489556751 -0.032139552 -0.035527891  0.030278947
#> [15,]  0.198336074 -0.0108501569  0.077077578 -0.028847453 -0.058906727
#> [16,]  0.071710280  0.0169099421 -0.139318108 -0.086922042  0.043935979
#> [17,]  0.086984557  0.1376071413  0.042600143  0.084833276 -0.046279128
#> [18,] -0.022214367 -0.1654338988  0.024723317 -0.031802665  0.079965565
#> [19,]  0.235589686 -0.1312065098 -0.049565776 -0.170381791  0.021637162
#> [20,] -0.256226521 -0.0174525623 -0.306588764 -0.006776459 -0.006890871
#> [21,] -0.002288754 -0.0330231054  0.037553155 -0.014746011 -0.068739456
#> [22,]  0.323684071 -0.0560832397 -0.051412911 -0.030561267 -0.037691590
#> [23,] -0.198757282  0.0708222530 -0.239657989  0.219054862  0.555181758
#> [24,] -0.066039025  0.1573974287  0.088580734 -0.021398044  0.359720781
#> [25,] -0.015386922  0.2394933548  0.014035798  0.184443807  0.056200076
#> [26,]  0.064027700  0.0643573506 -0.172753584 -0.131153618 -0.045598056
#> [27,] -0.311438879 -0.1983938147  0.236192764  0.145663134  0.076550912
#> [28,]  0.468756943 -0.1124941098  0.051538956  0.247928314  0.321625791
#>               [,6]          [,7]         [,8]         [,9]
#>  [1,]  0.175022954 -0.0147392747 -0.171752322 -0.155555226
#>  [2,]  0.058619497  0.0729057993 -0.126852391 -0.053458474
#>  [3,]  0.785953020 -0.3465057166  0.010074434  0.002879397
#>  [4,]  0.069555220  0.1593512996  0.024036613  0.110024038
#>  [5,] -0.101450512 -0.0866865549  0.066318841 -0.104134879
#>  [6,] -0.130896133 -0.2260531923  0.154799273 -0.250652037
#>  [7,]  0.252465405 -0.1026558497  0.226788066  0.580958375
#>  [8,] -0.098300912 -0.1638382340 -0.142046816 -0.164722320
#>  [9,] -0.063543977  0.1035822139 -0.068014105  0.012928591
#> [10,]  0.020484300  0.1141235412 -0.056425122 -0.051768376
#> [11,] -0.002791719 -0.0850032052 -0.135474764 -0.013487455
#> [12,]  0.044747161 -0.0059301826 -0.012497643  0.042573294
#> [13,]  0.112510638 -0.0097637290  0.032660089  0.147047917
#> [14,]  0.049692039  0.1141219060 -0.032742710  0.005165018
#> [15,] -0.077699596  0.0879637104  0.054798107  0.034603320
#> [16,]  0.008283119 -0.0002239995 -0.152330872 -0.127170037
#> [17,] -0.078243403  0.1303402432  0.063502446 -0.050560988
#> [18,] -0.029390967 -0.0406801506 -0.031343363 -0.093926427
#> [19,] -0.069719743 -0.0111582179  0.018005146  0.033444057
#> [20,]  0.061177088  0.0098227741  0.036139668  0.078150419
#> [21,] -0.012045373  0.0485267279  0.133621728 -0.059936062
#> [22,] -0.032921699 -0.1250879639 -0.091145458 -0.011509854
#> [23,]  0.670290686  1.0367112177  0.217000737  0.445856596
#> [24,]  0.226535121 -0.1818735289 -0.444752370  0.539397129
#> [25,] -0.001144038  0.0596821941  0.160981063 -0.144764399
#> [26,] -0.048406260 -0.0492132190 -0.007620268 -0.081456295
#> [27,] -0.012887788  0.1566310170 -0.029012160  0.169370416
#> [28,] -0.027384674 -0.2952921809 -0.208827204  0.021558555
#> 
#> , , 26
#> 
#>              [,1]        [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.17526692  0.14043944 -0.077374818  0.113893461  0.239538804
#>  [2,]  0.16398693 -0.16364047 -0.149124228 -0.061643551  0.074690729
#>  [3,]  0.19365322  0.40163724 -0.218202459  0.041327910  0.108778856
#>  [4,] -0.26162803 -0.03533165 -0.006600450 -0.052200647 -0.081526892
#>  [5,] -0.24047054  0.19661077 -0.058773475 -0.117224324 -0.056923546
#>  [6,] -0.04374435 -0.08324148 -0.127187057  0.045375474 -0.044339234
#>  [7,]  0.29980329  0.04135309 -0.257354984 -0.326205186 -0.422688668
#>  [8,] -0.03405333  0.38280824  0.035607657  0.159604232 -0.057370385
#>  [9,]  0.11409131  0.17158834 -0.086546259  0.050209518  0.142536659
#> [10,]  0.42284835 -0.07033178  0.118474993 -0.060928430  0.004608247
#> [11,] -0.16608395  0.10809138  0.102322707  0.094302412  0.114063255
#> [12,]  0.11494255  0.05040111 -0.061367486  0.020972084  0.017643489
#> [13,] -0.08593868  0.17349640  0.006274953  0.115246969  0.028853381
#> [14,]  0.05508235  0.01550735 -0.009653951 -0.047475826 -0.021817482
#> [15,] -0.13985692  0.05099973  0.146712434 -0.016188555 -0.036344802
#> [16,] -0.15172523  0.04584652 -0.150863054 -0.090407426  0.068188006
#> [17,]  0.07178736 -0.03213472  0.070995352 -0.088523088 -0.011179365
#> [18,] -0.05933482  0.18494722  0.071713860 -0.069682758 -0.053638552
#> [19,]  0.10980269 -0.05224536 -0.103163380 -0.019441070 -0.109407379
#> [20,]  0.09444965 -0.11685285  0.191273261  0.131248752 -0.046218546
#> [21,] -0.14898997  0.18341916 -0.050775387 -0.233100870 -0.156135899
#> [22,]  0.31319698 -0.14549110 -0.073182795 -0.008093591 -0.002380186
#> [23,] -0.19651791  0.01273113 -0.358115546  0.060068368  0.181290398
#> [24,]  0.12987070 -0.53946716  0.147594839 -0.177134756 -0.079589807
#> [25,]  0.11988192 -0.21739234  0.132903537 -0.054415145  0.074240847
#> [26,]  0.03461372 -0.01515148 -0.123728104  0.092988534  0.048742734
#> [27,] -0.15665468 -0.22811670 -0.068789497 -0.129076650 -0.266038513
#> [28,]  0.17774738  0.12104563  0.416793628  0.349410115  0.003344925
#>              [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.02091040  0.114868833  0.086611634  0.216632746
#>  [2,]  0.02744673 -0.091675710  0.026689538  0.087373594
#>  [3,]  0.54958193  0.446536118  0.027831199 -0.464985674
#>  [4,] -0.08702341 -0.017030132  0.001825516 -0.043850865
#>  [5,] -0.03272931  0.258476807  0.177965158  0.029921700
#>  [6,]  0.01528195 -0.080751982 -0.008194275  0.228316547
#>  [7,] -0.29862938 -0.066468746  0.089629217 -0.099585058
#>  [8,] -0.21568876 -0.008672487  0.258197746  0.203674535
#>  [9,] -0.11374016 -0.312576623 -0.027629232  0.110299322
#> [10,]  0.05115694 -0.103437691 -0.130272946  0.116782198
#> [11,]  0.10647051  0.058739392  0.046410710 -0.002623120
#> [12,]  0.01951729 -0.030198559  0.028718921 -0.008779512
#> [13,] -0.06298896 -0.017142891  0.063862059  0.058704825
#> [14,]  0.02619555  0.038110447 -0.046800289 -0.101352542
#> [15,] -0.17709505 -0.033302511 -0.009430875 -0.134839539
#> [16,]  0.03229862  0.078488925  0.015919382  0.007890059
#> [17,]  0.11555866  0.029396608  0.133303107 -0.049663855
#> [18,]  0.01377884  0.110594138  0.013407127 -0.062729585
#> [19,] -0.02315742  0.104327168  0.025608191  0.061792012
#> [20,] -0.09803993 -0.062180602 -0.018504619 -0.004378583
#> [21,]  0.06613237  0.055108394  0.022309555 -0.039614103
#> [22,] -0.02938143 -0.038253829 -0.126570299  0.020609136
#> [23,]  0.14312093  0.048485649  0.182644463 -0.210909180
#> [24,] -0.40852550 -0.918316743 -0.749474361 -0.135495326
#> [25,]  0.07996240  0.032984886  0.128307410  0.205534883
#> [26,]  0.10480686 -0.023091686 -0.021673539  0.064172721
#> [27,] -0.15507968 -0.386781614 -0.064435562 -0.271430581
#> [28,]  0.04991834 -0.047118518 -0.260458153 -0.145537442
#> 
#> , , 27
#> 
#>               [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.371130352  0.069280613  0.371137651 -0.038421675 -0.032512132
#>  [2,]  0.162762059  0.333539445  0.084302270  0.184152902  0.052856944
#>  [3,]  0.027843122 -0.346222880 -0.034205003  0.309267725  0.616334922
#>  [4,] -0.087461715  0.049884782 -0.071715558 -0.125992022 -0.155030748
#>  [5,] -0.204340222  0.311892894  0.070994348  0.061240969  0.121038493
#>  [6,] -0.066326525 -0.126425791  0.050953750 -0.193757560 -0.082411105
#>  [7,]  0.235154054  0.146288210 -0.316088889 -0.143019854 -0.089257670
#>  [8,]  0.148349433 -0.018399292  0.209611621 -0.211084405  0.088424899
#>  [9,]  0.002325238  0.108724158  0.092273599  0.059261999 -0.159360733
#> [10,]  0.090396608  0.045613545  0.104525210 -0.025001976 -0.121540070
#> [11,] -0.354494264  0.070024823 -0.221697598 -0.161421780 -0.051810859
#> [12,]  0.369897183  0.116109607  0.079239571  0.036399341  0.046050508
#> [13,] -0.042801520  0.108461731 -0.011127646 -0.065740701  0.023670816
#> [14,] -0.080584682 -0.052506950 -0.048104368 -0.033992329  0.049205448
#> [15,] -0.042157708 -0.106470682 -0.070221156  0.026263920  0.117488219
#> [16,]  0.040080023 -0.052992935 -0.062726907 -0.097649911 -0.077527840
#> [17,]  0.067846026 -0.001701328  0.094839389  0.103665359  0.078335618
#> [18,] -0.280182373 -0.081428179 -0.029481891 -0.081467793  0.123342618
#> [19,]  0.140202113 -0.103603233  0.005167840 -0.028079374 -0.062189087
#> [20,]  0.010265310  0.097520261  0.004607792  0.088629410  0.006888284
#> [21,]  0.005393349 -0.122460744 -0.195884970 -0.099348686  0.061393849
#> [22,] -0.214160147 -0.120446714  0.035682955  0.026428745  0.054107294
#> [23,] -0.049969342  0.013078159 -0.566353351  0.043595908  0.044489428
#> [24,]  0.161273362  0.048467754  0.343279588  0.324849618 -0.352152184
#> [25,] -0.238743032 -0.077453188  0.014888720 -0.035272522 -0.087696324
#> [26,]  0.002197465  0.070190351  0.081532628 -0.003481282  0.036412731
#> [27,]  0.163484264  0.328339404 -0.003517510 -0.010121152 -0.227260298
#> [28,]  0.157257360 -0.147527513  0.181765622  0.059376440  0.150898079
#>                [,6]        [,7]         [,8]         [,9]
#>  [1,] -0.0010982385 -0.14402275  0.015884184 -0.116786253
#>  [2,]  0.0376000908  0.08215816  0.048821932 -0.013679598
#>  [3,]  0.1387683860 -1.06778076  0.006095353  0.235116017
#>  [4,] -0.1424836136 -0.03002653  0.022074249 -0.070189114
#>  [5,] -0.1403301238  0.06769080  0.063031360  0.052279993
#>  [6,] -0.0753007629 -0.13848868 -0.126712889 -0.144271210
#>  [7,]  0.3847738904 -0.02354944  0.204561908 -0.189083213
#>  [8,]  0.2377126498 -0.18396627  0.019217736  0.123361721
#>  [9,]  0.0113549752  0.12578095 -0.212570763 -0.176447316
#> [10,] -0.0005787608 -0.03663591  0.032448294 -0.060196433
#> [11,]  0.0117600907 -0.05234131 -0.065766895 -0.075151381
#> [12,] -0.0557895292  0.02398826  0.010201110  0.023650573
#> [13,]  0.0662420780  0.01174762  0.048595799  0.032881000
#> [14,]  0.0844044133  0.06338169  0.009364224  0.052654937
#> [15,]  0.0338759258 -0.16755074 -0.122674028  0.014120477
#> [16,] -0.0479401810 -0.05955886  0.164730738 -0.059750723
#> [17,] -0.1455610163 -0.02344429 -0.052579996 -0.044322781
#> [18,]  0.0405290638 -0.07014539  0.050629848 -0.067629569
#> [19,] -0.1200913159  0.02517036  0.049860884  0.054085884
#> [20,]  0.0968226281  0.07740307  0.025057512 -0.044308375
#> [21,]  0.0432679195 -0.10322839 -0.036857115 -0.006948777
#> [22,]  0.0237706095  0.01610387  0.025870137  0.008908638
#> [23,]  0.4699297153  0.10317538  0.649286980  0.470214589
#> [24,] -0.2603740741 -0.52448099  0.310364358 -0.088846564
#> [25,] -0.1639333643 -0.06337043 -0.111566920  0.058385813
#> [26,]  0.0519555414  0.05455355 -0.050895543 -0.164609886
#> [27,] -0.0089363111 -0.01781297 -0.143076724 -0.123748289
#> [28,]  0.1906378007 -0.23979746  0.027211771  0.102163832
#> 
#> , , 28
#> 
#>              [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.32227711 -0.231537996 -0.079543012  0.272167348  0.027599058
#>  [2,]  0.06562780  0.238738264  0.084719901  0.019238611  0.126127144
#>  [3,]  0.06518412 -0.065028553  0.331998383  0.022828397 -0.775850579
#>  [4,] -0.14380945  0.101767144 -0.096799755 -0.088992535 -0.015133466
#>  [5,] -0.16327476 -0.302776068 -0.100956055 -0.043608616 -0.126096915
#>  [6,]  0.09718445  0.097890537  0.155644844  0.008657195 -0.142641756
#>  [7,]  0.03752962 -0.094931349 -0.259090816  0.184889259  0.139694181
#>  [8,]  0.14993305  0.044457479 -0.095758350  0.241781261  0.039006247
#>  [9,] -0.10956850 -0.066404000 -0.273624218 -0.174588587  0.126739170
#> [10,]  0.03489549  0.107281870  0.057360298 -0.220970173 -0.079747169
#> [11,] -0.14323207  0.001330978  0.045083070 -0.025869914 -0.048347592
#> [12,]  0.24224603  0.027814585 -0.047416490  0.138955231  0.010106951
#> [13,] -0.17706430  0.089868000  0.028177962  0.060723654  0.034362660
#> [14,]  0.01212397 -0.112602779  0.030390131 -0.041743050  0.002098585
#> [15,]  0.24812689  0.245054758  0.108342355  0.071295002 -0.143572285
#> [16,] -0.15597878 -0.026761351  0.073668186  0.053565431 -0.142260585
#> [17,]  0.06277027  0.128713811 -0.118920437 -0.009732691  0.020224784
#> [18,] -0.02908937 -0.102452139 -0.037873987  0.095274610  0.147853829
#> [19,] -0.16678032 -0.204973983  0.063339216 -0.023299838 -0.083563719
#> [20,] -0.02901368  0.126892504  0.068793165  0.001595321  0.157067920
#> [21,]  0.09657522 -0.018397727  0.148156464  0.044134845 -0.038586613
#> [22,] -0.15154054 -0.041246141  0.003918364 -0.020833200 -0.052012226
#> [23,]  0.03571538 -0.162044752  0.337562539  0.574114915 -0.003889476
#> [24,]  0.05194653  0.049224666  0.225146198  0.137192268 -0.084263087
#> [25,]  0.06968031  0.327368879  0.023443583  0.078747105 -0.034915657
#> [26,] -0.07263863 -0.192923376  0.188208574  0.169096696  0.039533800
#> [27,] -0.18332733 -0.194366928 -0.115453344 -0.167199010 -0.040259034
#> [28,] -0.25614831  0.406155410  0.124050123  0.085134308  0.198027712
#>               [,6]          [,7]          [,8]         [,9]
#>  [1,]  0.175166861 -0.4250459537 -2.982313e-01  0.075875444
#>  [2,]  0.052378449  0.1020555050 -9.891218e-03  0.121566700
#>  [3,]  0.251543780  0.2061924026 -2.835047e-01 -0.507370706
#>  [4,] -0.065662684  0.0368712423 -7.576311e-03  0.021701860
#>  [5,]  0.061171465  0.0705976509 -9.623235e-02  0.101683165
#>  [6,] -0.225977810 -0.0300318692 -2.107965e-01  0.062205767
#>  [7,] -0.055020167 -0.0296868225  5.173475e-02 -0.111951095
#>  [8,] -0.159746048 -0.3738151925  2.223936e-01  0.087418348
#>  [9,]  0.070059779  0.0647945101  8.051994e-02 -0.059686391
#> [10,] -0.086196188  0.1016310492  1.247917e-01  0.107442783
#> [11,] -0.005987425 -0.0068213014  6.552605e-02  0.058115362
#> [12,]  0.026399682  0.0339307361  2.211720e-02  0.010724598
#> [13,]  0.006214401  0.0254106812  1.081284e-01  0.070738489
#> [14,]  0.033682536  0.0970287626  2.713676e-02  0.011072082
#> [15,] -0.028262094 -0.0191117897 -7.478723e-02 -0.106174351
#> [16,] -0.168856992 -0.1980217392 -1.092544e-01 -0.055941994
#> [17,]  0.059296068 -0.1612258200  1.229633e-01  0.064799073
#> [18,]  0.249584243  0.1798942837  5.566114e-02  0.162446780
#> [19,] -0.131211844 -0.0136381182 -5.506540e-02 -0.041648335
#> [20,]  0.084821003  0.0579006613  6.451636e-02  0.003553964
#> [21,]  0.056099234 -0.0528594681  9.683795e-05  0.003067929
#> [22,]  0.078543729  0.1050969447  6.707881e-02 -0.094970022
#> [23,] -0.710490501 -0.6002378964 -7.629156e-02 -0.093366800
#> [24,] -0.304305411 -1.0659763766 -2.708212e-01 -0.209640381
#> [25,]  0.016008422 -0.0007741003  5.517136e-02 -0.013403778
#> [26,] -0.016258795  0.0172828841  2.878012e-02  0.161654979
#> [27,] -0.161154015 -0.1136153455 -1.242532e-01  0.086408402
#> [28,]  0.123129545  0.0480357139  9.838876e-02 -0.202230994
#> 
#> 
#> attr(,"class")
#> [1] "Tensor3"