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These calculations are conditional on the latent factors X and Y.

Usage

expected_edges(factor_model, ...)

expected_degrees(factor_model, ...)

expected_degree(factor_model, ...)

expected_in_degree(factor_model, ...)

expected_out_degree(factor_model, ...)

expected_density(factor_model, ...)

Arguments

factor_model

A directed_factor_model() or undirected_factor_model().

...

Ignored. Do not use.

Value

Expected edge counts, or graph densities.

Details

Note that the runtime of the fastRG algorithm is proportional to the expected number of edges in the graph. Expected edge count will be an underestimate of expected number of edges for Bernoulli graphs. See the Rohe et al for details.

References

Rohe, Karl, Jun Tao, Xintian Han, and Norbert Binkiewicz. 2017. "A Note on Quickly Sampling a Sparse Matrix with Low Rank Expectation." Journal of Machine Learning Research; 19(77):1-13, 2018. https://www.jmlr.org/papers/v19/17-128.html

Examples


##### an undirected blockmodel example

n <- 100
pop <- n / 2
a <- .1
b <- .05

B <- matrix(c(a, b, b, a), nrow = 2)

b_model <- sbm(n = n, B = B, poisson_edges = FALSE)

b_model
#> Undirected Stochastic Blockmodel
#> --------------------------------
#> 
#> Nodes (n): 100 (arranged by block)
#> Blocks (k): 2
#> 
#> Traditional SBM parameterization:
#> 
#> Block memberships (z): 100 [factor] 
#> Block probabilities (pi): 2 [numeric] 
#> Factor model parameterization:
#> 
#> X: 100 x 2 [dgeMatrix] 
#> S: 2 x 2 [dsyMatrix] 
#> 
#> Poisson edges: FALSE 
#> Allow self loops: TRUE 
#> 
#> Expected edges: 783
#> Expected degree: 7.8
#> Expected density: 0.15824

A <- sample_sparse(b_model)

# compare
mean(rowSums(triu(A)))
#> [1] 3.76

pop * a + pop * b # analytical average degree
#> [1] 7.5

##### more generic examples

n <- 1000
k <- 5

X <- matrix(rpois(n = n * k, 1), nrow = n)
S <- matrix(runif(n = k * k, 0, .1), nrow = k)

ufm <- undirected_factor_model(X, S)

expected_edges(ufm)
#> [1] 1161970
expected_degree(ufm)
#> [1] 1161.97
eigs_sym(ufm)
#> $values
#> [1] 1408.47590   66.58648   37.12592   29.93549  -40.66645
#> 
#> $vectors
#>                  [,1]          [,2]          [,3]          [,4]          [,5]
#>    [1,] -5.136848e-02  2.067505e-02 -5.929315e-02 -3.157521e-02  9.757189e-03
#>    [2,] -1.468500e-02  5.974606e-02  2.456625e-02  5.252154e-02  2.884105e-02
#>    [3,] -2.872055e-02 -8.728371e-04 -1.922743e-02  3.490778e-02 -5.754056e-02
#>    [4,] -3.740034e-02  1.763338e-02  5.155571e-02  1.207684e-02 -2.672135e-02
#>    [5,] -1.621357e-02 -6.388201e-02  5.675315e-02  1.371689e-02 -2.354925e-03
#>    [6,] -1.720562e-02 -3.045476e-02  4.550788e-02 -1.267034e-02 -1.492336e-02
#>    [7,] -1.029952e-02 -1.378651e-03  2.710647e-02  2.207948e-02  8.828708e-03
#>    [8,] -2.775735e-02  9.409164e-03  1.685579e-03  4.161840e-02  2.150185e-02
#>    [9,] -1.495125e-02  6.881522e-03 -7.935075e-03 -3.133094e-02  7.378002e-03
#>   [10,] -2.950220e-02  1.328224e-02  4.439957e-02  7.321388e-02  9.599144e-03
#>   [11,] -2.925893e-02  1.627060e-03  1.169277e-03  2.296286e-03 -1.465244e-03
#>   [12,] -4.455865e-02  2.979985e-02 -9.716414e-04  9.536281e-03 -2.287692e-02
#>   [13,] -2.925893e-02  1.627060e-03  1.169277e-03  2.296286e-03 -1.465244e-03
#>   [14,] -3.404872e-02  1.190632e-02  4.679416e-02  5.215013e-02  4.800251e-02
#>   [15,] -3.580250e-02  4.536679e-02 -2.465091e-02  4.503728e-02  5.263191e-02
#>   [16,] -3.049424e-02  4.670949e-02  3.315430e-02  4.682666e-02 -2.969289e-03
#>   [17,] -3.065530e-02 -1.579113e-02  3.808911e-02 -4.679163e-03  1.542173e-02
#>   [18,] -3.076050e-02 -6.155043e-03  6.529745e-04 -3.702583e-02 -2.443234e-02
#>   [19,] -3.692676e-02 -2.741583e-02 -4.062911e-02 -1.317916e-02 -8.019471e-03
#>   [20,] -2.872055e-02 -8.728371e-04 -1.922743e-02  3.490778e-02 -5.754056e-02
#>   [21,] -4.119407e-02  4.581165e-02 -8.953103e-06 -6.696963e-02  1.101628e-02
#>   [22,] -5.173687e-02  5.608817e-02  7.032781e-02  2.602745e-02  3.090938e-02
#>   [23,] -5.404524e-03 -2.129400e-02  1.891772e-02  4.572297e-03 -7.849751e-04
#>   [24,] -2.035577e-02 -1.441248e-02  1.098264e-02 -2.675864e-02  6.593027e-03
#>   [25,] -3.640829e-02 -1.579387e-02  6.280098e-02  3.846407e-02 -1.415292e-02
#>   [26,] -1.379815e-02  3.595489e-02 -1.624616e-03  4.656211e-02  1.555411e-03
#>   [27,] -2.200435e-02  9.411900e-03 -2.302630e-02 -1.524831e-03  5.107650e-02
#>   [28,] -5.547290e-02 -3.152069e-03 -5.723414e-04 -1.366579e-02 -6.430094e-02
#>   [29,] -9.789998e-03  3.983070e-02  1.637750e-02  3.501436e-02  1.922737e-02
#>   [30,] -4.421018e-02  8.508583e-03 -6.765798e-03 -2.903465e-02  5.912758e-03
#>   [31,] -3.466345e-02 -1.966694e-02  2.008699e-02  6.868583e-03 -2.250219e-03
#>   [32,] -3.415392e-02  2.154241e-02  9.358026e-03  1.980347e-02  8.148439e-03
#>   [33,] -2.385440e-02  2.292106e-02 -1.774844e-02 -2.276011e-03 -6.802693e-04
#>   [34,] -3.415392e-02  2.154241e-02  9.358026e-03  1.980347e-02  8.148439e-03
#>   [35,] -3.291860e-02 -2.354002e-02 -2.262700e-02 -2.472690e-02  9.652483e-03
#>   [36,] -3.206061e-02 -3.621929e-03 -3.915012e-02 -5.036295e-02  4.884082e-02
#>   [37,] -8.903150e-03  1.603954e-02 -9.813365e-03  2.905493e-02 -8.058271e-03
#>   [38,] -4.851745e-02 -5.584876e-02  6.083332e-02  3.427154e-02  5.755029e-02
#>   [39,] -3.530703e-02 -7.530958e-03  3.047567e-03 -5.808958e-02  1.397103e-02
#>   [40,] -3.600397e-02  3.505158e-02  1.463588e-02  1.905229e-02 -4.360833e-02
#>   [41,] -1.745783e-02  1.078781e-02 -2.542089e-02  1.953892e-02  1.267314e-02
#>   [42,] -1.984625e-02  2.679687e-02  2.536745e-04 -1.382376e-02  1.699168e-02
#>   [43,] -3.666050e-02  2.544870e-02 -8.127787e-03  7.067333e-02  1.344357e-02
#>   [44,] -1.279315e-02  2.426650e-02  1.534489e-02 -4.362986e-02 -2.670682e-02
#>   [45,] -5.715033e-02  6.438156e-02 -2.491354e-02 -8.108593e-03  4.665651e-02
#>   [46,] -5.448085e-02 -3.657932e-02  1.067293e-02  1.272144e-02 -5.173251e-02
#>   [47,] -1.529972e-02  2.817279e-02 -2.140918e-03  7.239995e-03 -2.141168e-02
#>   [48,] -4.270860e-02  1.629069e-02 -6.249496e-03  1.028746e-02  2.887985e-02
#>   [49,] -1.710936e-02 -1.050345e-02 -3.121504e-02 -1.903201e-02  4.146282e-02
#>   [50,] -2.877640e-02 -7.300955e-02  2.314351e-02  1.574863e-02  7.045305e-04
#>   [51,] -4.229534e-02  3.754874e-02  5.974446e-02  2.958402e-02 -1.710767e-02
#>   [52,] -1.080905e-02 -4.258801e-02  3.783543e-02  9.144594e-03 -1.569950e-03
#>   [53,] -4.120703e-02  2.407279e-02 -5.733194e-03  4.960957e-02  5.184694e-02
#>   [54,] -3.052124e-02 -6.913647e-02  6.585750e-02  4.734411e-02 -1.119817e-02
#>   [55,] -2.522192e-02 -3.820638e-02  9.503652e-03  1.042515e-02 -5.026727e-02
#>   [56,] -1.984625e-02  2.679687e-02  2.536745e-04 -1.382376e-02  1.699168e-02
#>   [57,] -2.111751e-02 -1.437926e-02 -4.921716e-02 -7.484267e-03  2.379087e-02
#>   [58,] -3.641723e-02  1.379353e-02 -5.135808e-02 -2.442715e-04  2.379186e-03
#>   [59,] -2.337188e-02 -5.171554e-02  4.225797e-03  1.117633e-02  1.489506e-03
#>   [60,] -4.397092e-02 -5.447284e-02  5.843873e-02  5.533529e-02  1.914692e-02
#>   [61,] -2.891045e-02 -1.966421e-02 -4.624880e-03 -3.627465e-02  2.732444e-02
#>   [62,] -2.525077e-02  5.502872e-03  1.917139e-02 -9.251460e-03  1.620671e-02
#>   [63,] -1.885420e-02 -6.630377e-03  1.149894e-02  1.256347e-02  2.956012e-02
#>   [64,] -1.129157e-02  3.204860e-02  1.586120e-02 -4.307750e-03 -3.739725e-03
#>   [65,] -2.200435e-02  9.411900e-03 -2.302630e-02 -1.524831e-03  5.107650e-02
#>   [66,] -2.689935e-02  2.932725e-02 -1.483755e-02  1.598235e-02  6.069019e-02
#>   [67,] -2.474125e-02  4.671223e-02  8.442424e-03  3.683425e-03  2.660537e-02
#>   [68,] -5.404524e-03 -2.129400e-02  1.891772e-02  4.572297e-03 -7.849751e-04
#>   [69,] -1.882535e-02 -5.033963e-02  1.831204e-03  3.224009e-02 -3.691386e-02
#>   [70,] -1.495125e-02  6.881522e-03 -7.935075e-03 -3.133094e-02  7.378002e-03
#>   [71,] -2.636098e-02  2.682735e-02 -3.523425e-02  4.859385e-02  4.614867e-03
#>   [72,] -3.476865e-02 -1.003086e-02 -1.734914e-02 -2.547808e-02 -4.210429e-02
#>   [73,] -3.364440e-02  6.275177e-02 -1.370941e-03  3.273835e-02  1.854710e-02
#>   [74,] -8.903150e-03  1.603954e-02 -9.813365e-03  2.905493e-02 -8.058271e-03
#>   [75,] -2.610877e-02 -1.441522e-02  3.569452e-02  1.638459e-02 -2.298163e-02
#>   [76,] -2.035577e-02 -1.441248e-02  1.098264e-02 -2.675864e-02  6.593027e-03
#>   [77,] -2.821103e-02  4.033652e-02 -2.995640e-02  4.784267e-02 -4.714190e-02
#>   [78,] -3.877680e-02 -1.390667e-02 -3.535126e-02 -1.393034e-02 -5.977624e-02
#>   [79,] -1.180110e-02 -9.160754e-03  2.659016e-02 -1.724264e-02 -1.413838e-02
#>   [80,] -3.966365e-02  9.884497e-03 -9.160391e-03 -7.970900e-03 -3.249061e-02
#>   [81,] -6.672386e-20  1.420372e-18  1.998616e-18  8.184416e-18  2.583323e-18
#>   [82,] -4.293892e-02  4.968472e-02  4.270504e-02 -3.537414e-02 -8.864229e-04
#>   [83,] -3.291860e-02 -2.354002e-02 -2.262700e-02 -2.472690e-02  9.652483e-03
#>   [84,] -3.141703e-02 -1.575791e-02 -2.211069e-02  1.459521e-02  3.261957e-02
#>   [85,] -4.219908e-02  5.750004e-02 -1.697846e-02  2.322235e-02  3.927851e-02
#>   [86,] -5.404524e-03 -2.129400e-02  1.891772e-02  4.572297e-03 -7.849751e-04
#>   [87,] -2.837208e-02 -2.216410e-02 -2.502159e-02 -3.663150e-03 -2.875088e-02
#>   [88,] -1.669610e-02  1.075460e-02  3.477891e-02  2.645463e-04 -4.524700e-03
#>   [89,] -4.747849e-02  1.244809e-02 -8.445141e-02  4.110958e-02  2.840573e-02
#>   [90,] -2.872055e-02 -8.728371e-04 -1.922743e-02  3.490778e-02 -5.754056e-02
#>   [91,] -1.129157e-02  3.204860e-02  1.586120e-02 -4.307750e-03 -3.739725e-03
#>   [92,] -1.669610e-02  1.075460e-02  3.477891e-02  2.645463e-04 -4.524700e-03
#>   [93,] -2.425872e-02 -2.792438e-02  3.041666e-02  1.713577e-02  2.877514e-02
#>   [94,] -2.159109e-02  3.066995e-02  4.296766e-02  1.777173e-02  5.088983e-03
#>   [95,] -8.903150e-03  1.603954e-02 -9.813365e-03  2.905493e-02 -8.058271e-03
#>   [96,] -2.864420e-02  3.320033e-02  2.787644e-02  4.757784e-02  4.878748e-02
#>   [97,] -2.874940e-02  4.283641e-02 -9.559691e-03  1.523117e-02  8.933414e-03
#>   [98,] -4.735139e-02 -5.036533e-03  7.286802e-02 -4.414617e-03  1.089703e-02
#>   [99,] -3.943333e-02 -2.350954e-02 -5.811492e-02  3.769070e-02 -2.724335e-03
#>  [100,] -3.049424e-02  4.670949e-02  3.315430e-02  4.682666e-02 -2.969289e-03
#>  [101,] -9.412675e-03 -2.516981e-02  9.156022e-04  1.612004e-02 -1.845693e-02
#>  [102,] -3.301487e-02 -4.349132e-02  5.409593e-02 -1.836523e-02 -4.673370e-02
#>  [103,] -3.692676e-02 -2.741583e-02 -4.062911e-02 -1.317916e-02 -8.019471e-03
#>  [104,] -6.573201e-02 -5.671612e-02 -7.817856e-03 -1.710714e-02  5.915904e-02
#>  [105,] -1.180110e-02 -9.160754e-03  2.659016e-02 -1.724264e-02 -1.413838e-02
#>  [106,] -1.971220e-02 -2.654847e-02  2.802207e-02  3.819952e-02 -9.628222e-03
#>  [107,] -3.751850e-02  5.530616e-03  8.395338e-03  9.630938e-02 -2.574476e-02
#>  [108,] -4.808428e-02 -4.871257e-02  3.000481e-03  3.453637e-02 -3.837910e-02
#>  [109,] -1.570405e-02 -2.267265e-02  4.602418e-02  2.665178e-02  8.043733e-03
#>  [110,] -2.471240e-02  3.002975e-03 -1.225316e-03  2.336004e-02 -3.986861e-02
#>  [111,] -3.466345e-02 -1.966694e-02  2.008699e-02  6.868583e-03 -2.250219e-03
#>  [112,] -3.832313e-02 -4.483402e-02 -3.709278e-03 -2.015461e-02  8.867508e-03
#>  [113,] -6.396573e-03  1.213325e-02  7.672447e-03 -2.181493e-02 -1.335341e-02
#>  [114,] -2.990250e-02  1.376304e-02 -1.587015e-02 -6.266188e-02  1.475600e-02
#>  [115,] -2.134782e-02  1.901477e-02 -2.626277e-04 -5.314587e-02 -5.975406e-03
#>  [116,] -5.524258e-02 -3.654610e-02 -4.952687e-02  3.199581e-02 -3.453467e-02
#>  [117,] -4.356660e-02 -3.627402e-03  1.027363e-02  3.592351e-02 -1.030849e-02
#>  [118,] -3.298787e-02  7.235464e-02  2.139273e-02 -1.888269e-02 -3.850481e-02
#>  [119,] -2.286235e-02 -1.050619e-02 -6.503171e-03  2.411122e-02  1.188816e-02
#>  [120,] -1.180110e-02 -9.160754e-03  2.659016e-02 -1.724264e-02 -1.413838e-02
#>  [121,] -4.267975e-02 -2.741857e-02 -1.591724e-02  2.996407e-02 -3.759413e-02
#>  [122,] -3.616502e-02 -2.744905e-02  1.957069e-02 -3.245353e-02 -2.521731e-02
#>  [123,] -2.337188e-02 -5.171554e-02  4.225797e-03  1.117633e-02  1.489506e-03
#>  [124,] -4.532038e-02  2.983307e-02 -6.117144e-02  2.881066e-02 -5.679085e-03
#>  [125,] -2.786255e-02  1.904525e-02 -3.575056e-02  9.271735e-03 -1.835222e-02
#>  [126,] -3.867160e-02 -2.354275e-02  2.084879e-03  1.841633e-02 -1.992217e-02
#>  [127,] -2.035577e-02 -1.441248e-02  1.098264e-02 -2.675864e-02  6.593027e-03
#>  [128,] -4.808428e-02 -4.871257e-02  3.000481e-03  3.453637e-02 -3.837910e-02
#>  [129,] -2.860239e-02  1.122993e-02  2.393294e-02 -4.932475e-02 -5.851715e-02
#>  [130,] -2.425872e-02 -2.792438e-02  3.041666e-02  1.713577e-02  2.877514e-02
#>  [131,] -4.256160e-02 -1.531580e-02  2.724314e-02 -5.426846e-02 -3.857072e-02
#>  [132,] -4.147328e-02 -2.879174e-02 -3.823452e-02 -3.424291e-02  3.038389e-02
#>  [133,] -3.113782e-02  5.884547e-02  1.611487e-02 -1.813151e-02  1.325196e-02
#>  [134,] -4.585876e-02  3.233296e-02 -4.077474e-02 -3.800842e-03  5.039623e-02
#>  [135,] -3.664755e-02  4.718756e-02 -2.403546e-03 -4.590588e-02 -2.738708e-02
#>  [136,] -2.425872e-02 -2.792438e-02  3.041666e-02  1.713577e-02  2.877514e-02
#>  [137,] -2.786255e-02  1.904525e-02 -3.575056e-02  9.271735e-03 -1.835222e-02
#>  [138,] -1.180110e-02 -9.160754e-03  2.659016e-02 -1.724264e-02 -1.413838e-02
#>  [139,] -6.396573e-03  1.213325e-02  7.672447e-03 -2.181493e-02 -1.335341e-02
#>  [140,] -3.425913e-02  3.117850e-02 -2.807811e-02 -1.254320e-02 -3.170563e-02
#>  [141,] -2.408472e-02  5.631510e-02  3.120609e-02 -4.793761e-02 -3.044654e-02
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#>  [913,] -2.286235e-02 -1.050619e-02 -6.503171e-03  2.411122e-02  1.188816e-02
#>  [914,] -6.396573e-03  1.213325e-02  7.672447e-03 -2.181493e-02 -1.335341e-02
#>  [915,] -4.537623e-02 -4.230364e-02 -1.880050e-02  9.651502e-03  5.256601e-02
#>  [916,] -3.727523e-02 -6.124563e-03 -3.483495e-02  2.539178e-02 -3.680915e-02
#>  [917,] -5.404524e-03 -2.129400e-02  1.891772e-02  4.572297e-03 -7.849751e-04
#>  [918,] -1.180110e-02 -9.160754e-03  2.659016e-02 -1.724264e-02 -1.413838e-02
#>  [919,] -3.316187e-02 -1.188484e-02  2.060330e-02  4.619070e-02  2.071687e-02
#>  [920,] -3.654235e-02  3.755147e-02  3.503259e-02 -1.355921e-02  1.246698e-02
#>  [921,] -2.687050e-02 -1.438200e-02 -2.450529e-02  3.565896e-02 -5.783791e-03
#>  [922,] -1.342083e-02 -2.904563e-02 -1.708651e-02  2.766779e-02 -3.612888e-02
#>  [923,] -3.727523e-02 -6.124563e-03 -3.483495e-02  2.539178e-02 -3.680915e-02
#>  [924,] -3.603097e-02 -8.079439e-02  4.733909e-02  1.956975e-02 -5.183722e-02
#>  [925,] -4.899997e-02  1.878785e-02  3.885909e-02  2.081919e-02  5.538051e-02
#>  [926,] -2.786255e-02  1.904525e-02 -3.575056e-02  9.271735e-03 -1.835222e-02
#>  [927,] -6.022228e-02 -4.505821e-02  1.070056e-02  1.066723e-02  9.979808e-02
#>  [928,] -8.903150e-03  1.603954e-02 -9.813365e-03  2.905493e-02 -8.058271e-03
#>  [929,] -2.134782e-02  1.901477e-02 -2.626277e-04 -5.314587e-02 -5.975406e-03
#>  [930,] -5.404524e-03 -2.129400e-02  1.891772e-02  4.572297e-03 -7.849751e-04
#>  [931,] -1.680130e-02  2.039069e-02 -2.657220e-03 -3.208212e-02 -4.437877e-02
#>  [932,] -2.242918e-02 -3.369998e-03 -6.433601e-02  2.437605e-02 -8.404122e-02
#>  [933,] -2.108157e-02  7.187930e-02  3.223870e-02  3.070661e-02  1.548764e-02
#>  [934,] -1.984625e-02  2.679687e-02  2.536745e-04 -1.382376e-02  1.699168e-02
#>  [935,] -2.826688e-02 -3.180019e-02  1.241455e-02  2.868351e-02  1.110319e-02
#>  [936,] -1.720562e-02 -3.045476e-02  4.550788e-02 -1.267034e-02 -1.492336e-02
#>  [937,] -4.601981e-02 -3.016766e-02 -3.583993e-02 -5.530666e-02  6.878726e-02
#>  [938,] -4.933549e-02  6.181797e-02  5.037748e-02 -5.718907e-02 -1.423983e-02
#>  [939,] -2.232398e-02 -1.300609e-02 -2.689988e-02  5.672272e-02 -4.418715e-02
#>  [940,] -4.502776e-02 -6.359491e-02 -2.459466e-02 -2.891943e-02  8.135569e-02
#>  [941,] -1.519452e-02  1.853670e-02  3.529522e-02  3.958666e-02  1.844239e-02
#>  [942,] -3.189062e-02  2.929130e-02  7.007413e-02  3.985121e-02  1.391769e-02
#>  [943,] -2.891045e-02 -1.966421e-02 -4.624880e-03 -3.627465e-02  2.732444e-02
#>  [944,] -1.580925e-02 -1.303657e-02  8.588050e-03 -5.694889e-03 -3.181034e-02
#>  [945,] -2.309267e-02  2.288785e-02  4.245136e-02 -2.155039e-02 -1.787811e-02
#>  [946,] -6.128359e-02  8.426370e-02  4.347501e-02 -9.875786e-03  3.907235e-02
#>  [947,] -2.891045e-02 -1.966421e-02 -4.624880e-03 -3.627465e-02  2.732444e-02
#>  [948,] -1.680130e-02  2.039069e-02 -2.657220e-03 -3.208212e-02 -4.437877e-02
#>  [949,] -2.385440e-02  2.292106e-02 -1.774844e-02 -2.276011e-03 -6.802693e-04
#>  [950,] -6.782131e-02  1.977447e-02 -6.774453e-02 -1.022283e-01 -5.831900e-03
#>  [951,] -2.474125e-02  4.671223e-02  8.442424e-03  3.683425e-03  2.660537e-02
#>  [952,] -1.657098e-02 -1.300335e-02 -5.161175e-02  1.357949e-02 -1.461250e-02
#>  [953,]  1.757237e-20  5.225015e-19  7.175883e-19  3.220558e-18  9.175231e-19
#>  [954,] -2.057913e-02 -1.687916e-02 -6.961387e-02  2.512723e-02 -3.228445e-02
#>  [955,] -1.745783e-02  1.078781e-02 -2.542089e-02  1.953892e-02  1.267314e-02
#>  [956,] -3.507671e-02 -4.092499e-02 -4.590697e-02 -1.242798e-02  4.373730e-02
#>  [957,] -3.141703e-02 -1.575791e-02 -2.211069e-02  1.459521e-02  3.261957e-02
#>  [958,] -3.530703e-02 -7.530958e-03  3.047567e-03 -5.808958e-02  1.397103e-02
#>  [959,] -2.057913e-02 -1.687916e-02 -6.961387e-02  2.512723e-02 -3.228445e-02
#>  [960,] -3.164735e-02  1.763612e-02  2.684384e-02 -3.106639e-02  2.853302e-03
#>  [961,] -1.029952e-02 -1.378651e-03  2.710647e-02  2.207948e-02  8.828708e-03
#>  [962,] -2.070425e-02  6.878786e-03  1.677680e-02  1.181229e-02 -2.219665e-02
#>  [963,] -3.425913e-02  3.117850e-02 -2.807811e-02 -1.254320e-02 -3.170563e-02
#>  [964,] -5.061970e-02 -1.097025e-03 -4.817592e-03  6.572962e-02  3.339001e-02
#>  [965,] -2.331603e-02  2.042117e-02 -3.814515e-02  3.033549e-02 -5.675559e-02
#>  [966,] -1.481720e-02 -4.646382e-02  1.983332e-02  2.069234e-02 -1.924190e-02
#>  [967,] -2.535598e-02  1.513896e-02 -1.826474e-02 -4.159812e-02 -2.364736e-02
#>  [968,] -3.431498e-02 -4.095821e-02  1.429284e-02 -3.170235e-02  2.653946e-02
#>  [969,] -2.309267e-02  2.288785e-02  4.245136e-02 -2.155039e-02 -1.787811e-02
#>  [970,] -2.235283e-02  3.070317e-02 -1.723214e-02  3.704610e-02  2.228682e-02
#>  [971,] -4.635934e-02 -3.846378e-02  8.411329e-02  2.197261e-02  2.346547e-02
#>  [972,] -4.497191e-02  8.541799e-03 -6.696560e-02 -9.760278e-03  2.311060e-02
#>  [973,] -3.870045e-02  2.016650e-02  1.175262e-02 -1.260285e-03  4.655180e-02
#>  [974,] -2.652203e-02 -3.567327e-02 -3.029944e-02 -2.911970e-03  2.300589e-02
#>  [975,] -4.429239e-02  8.266438e-02  3.152968e-02  9.338876e-02 -1.413877e-03
#>  [976,] -4.410497e-02 -1.127505e-03  3.067034e-02  3.312012e-03  4.576683e-02
#>  [977,] -3.076050e-02 -6.155043e-03  6.529745e-04 -3.702583e-02 -2.443234e-02
#>  [978,] -3.826728e-02  2.730269e-02 -4.608022e-02 -9.954513e-04 -4.937759e-02
#>  [979,] -2.976845e-02 -3.958229e-02  1.189824e-02 -1.063860e-02 -1.186390e-02
#>  [980,] -5.404524e-03 -2.129400e-02  1.891772e-02  4.572297e-03 -7.849751e-04
#>  [981,] -1.657098e-02 -1.300335e-02 -5.161175e-02  1.357949e-02 -1.461250e-02
#>  [982,] -1.029952e-02 -1.378651e-03  2.710647e-02  2.207948e-02  8.828708e-03
#>  [983,] -2.601251e-02  5.536088e-03 -4.102841e-02  1.002291e-02  3.340455e-02
#>  [984,] -2.337188e-02 -5.171554e-02  4.225797e-03  1.117633e-02  1.489506e-03
#>  [985,] -2.471240e-02  3.002975e-03 -1.225316e-03  2.336004e-02 -3.986861e-02
#>  [986,] -1.256283e-02 -9.127538e-03 -3.360964e-02  2.031739e-03  3.059456e-03
#>  [987,] -8.903150e-03  1.603954e-02 -9.813365e-03  2.905493e-02 -8.058271e-03
#>  [988,] -2.019472e-02  4.808814e-02  6.047831e-03  2.474718e-02 -1.179800e-02
#>  [989,] -3.326708e-02 -2.248751e-03 -1.683284e-02  1.384403e-02 -1.913720e-02
#>  [990,] -3.654235e-02  3.755147e-02  3.503259e-02 -1.355921e-02  1.246698e-02
#>  [991,]  1.032360e-20 -3.361263e-19 -5.108853e-19 -2.028351e-18 -6.591705e-19
#>  [992,] -2.022172e-02 -6.775782e-02  3.875104e-02  2.526464e-02 -2.002688e-02
#>  [993,] -3.025097e-02  3.505431e-02 -1.007599e-02 -2.409094e-02 -1.403368e-02
#>  [994,] -2.210062e-02 -1.053940e-02  5.369663e-02  4.836843e-03 -5.309675e-03
#>  [995,] -1.256283e-02 -9.127538e-03 -3.360964e-02  2.031739e-03  3.059456e-03
#>  [996,] -3.565550e-02  1.376031e-02  8.841724e-03 -1.951865e-02 -1.481865e-02
#>  [997,] -1.029952e-02 -1.378651e-03  2.710647e-02  2.207948e-02  8.828708e-03
#>  [998,] -1.279315e-02  2.426650e-02  1.534489e-02 -4.362986e-02 -2.670682e-02
#>  [999,] -2.699562e-02  9.375947e-03  6.188538e-02  2.234402e-02  4.304008e-03
#> [1000,] -1.029952e-02 -1.378651e-03  2.710647e-02  2.207948e-02  8.828708e-03
#> 
#> $nconv
#> [1] 5
#> 
#> $niter
#> [1] 1
#> 
#> $nops
#> [1] 20
#> 

n <- 1000
d <- 100

k1 <- 5
k2 <- 3

X <- matrix(rpois(n = n * k1, 1), nrow = n)
Y <- matrix(rpois(n = d * k2, 1), nrow = d)
S <- matrix(runif(n = k1 * k2, 0, .1), nrow = k1)

dfm <- directed_factor_model(X = X, S = S, Y = Y)

expected_edges(dfm)
#> [1] 84668.29
expected_in_degree(dfm)
#> [1] 846.6829
expected_out_degree(dfm)
#> [1] 84.66829

svds(dfm)
#> $d
#> [1] 342.476888  16.497489   6.751594
#> 
#> $u
#>                [,1]          [,2]          [,3]
#>    [1,] 0.027196203  2.685820e-02 -3.647083e-02
#>    [2,] 0.024018038  4.407837e-02  6.719794e-03
#>    [3,] 0.023649504  3.391167e-02 -5.891414e-03
#>    [4,] 0.015859095 -2.298579e-02 -1.288972e-02
#>    [5,] 0.012748186  4.262782e-02 -2.526785e-02
#>    [6,] 0.050795498 -7.634958e-02 -1.845544e-02
#>    [7,] 0.048053123 -5.692773e-04 -1.822236e-02
#>    [8,] 0.013790729  2.524494e-02 -3.956580e-02
#>    [9,] 0.018034765 -1.299513e-02  2.162195e-02
#>   [10,] 0.027564737  3.702490e-02 -2.385962e-02
#>   [11,] 0.010901318 -8.716147e-03  1.937644e-02
#>   [12,] 0.038318701 -3.974061e-02 -7.572311e-02
#>   [13,] 0.024675326  3.063807e-03  3.508261e-02
#>   [14,] 0.037219379  1.484827e-02  3.678153e-02
#>   [15,] 0.038590408 -2.195863e-03 -2.830955e-02
#>   [16,] 0.033400974 -1.564301e-02  1.994738e-02
#>   [17,] 0.009694373  2.934337e-02 -5.903592e-03
#>   [18,] 0.063815717 -9.836802e-02  2.730029e-02
#>   [19,] 0.036947673 -2.269648e-02 -1.063203e-02
#>   [20,] 0.022992542 -2.726477e-02 -1.064421e-02
#>   [21,] 0.028936084 -2.171127e-02  4.099838e-02
#>   [22,] 0.035922176 -9.403962e-02 -2.799603e-02
#>   [23,] 0.032375151  1.520486e-02 -2.102664e-02
#>   [24,] 0.006640561  1.605893e-02  1.346067e-02
#>   [25,] 0.042562411  2.421032e-02 -3.814539e-02
#>   [26,] 0.009694373  2.934337e-02 -5.903592e-03
#>   [27,] 0.038137570  2.797001e-02  4.630995e-02
#>   [28,] 0.046041854 -3.123659e-02 -1.315605e-02
#>   [29,] 0.040041534  4.159269e-04  3.340805e-02
#>   [30,] 0.032358430  1.739867e-03  3.424533e-02
#>   [31,] 0.000000000  0.000000e+00  0.000000e+00
#>   [32,] 0.031989896 -8.426832e-03  2.163412e-02
#>   [33,] 0.029592727  8.115720e-02 -8.419791e-02
#>   [34,] 0.003218214 -7.392207e-03  2.021372e-02
#>   [35,] 0.053423680  5.666207e-03 -8.217330e-02
#>   [36,] 0.015859095 -2.298579e-02 -1.288972e-02
#>   [37,] 0.025717869 -1.431907e-02  2.078466e-02
#>   [38,] 0.010901318 -8.716147e-03  1.937644e-02
#>   [39,] 0.052789720  4.304374e-02  8.140200e-03
#>   [40,] 0.033893860 -3.598092e-02  8.732227e-03
#>   [41,] 0.042341557 -2.009802e-02  4.409335e-02
#>   [42,] 0.018912907 -9.701351e-03 -3.225398e-02
#>   [43,] 0.050024662 -2.142196e-02  4.325607e-02
#>   [44,] 0.038358750 -2.991265e-02 -1.231877e-02
#>   [45,] 0.036579138 -3.286318e-02 -2.324324e-02
#>   [46,] 0.017541879  7.342786e-03  3.283710e-02
#>   [47,] 0.049095667 -1.795215e-02 -3.252031e-02
#>   [48,] 0.021088578  2.893146e-04  2.257687e-03
#>   [49,] 0.022992542 -2.726477e-02 -1.064421e-02
#>   [50,] 0.039984438  7.931398e-02  1.665661e-03
#>   [51,] 0.014448017 -1.576962e-02 -1.120298e-02
#>   [52,] 0.014612419 -3.644627e-02  2.837500e-02
#>   [53,] 0.018034765 -1.299513e-02  2.162195e-02
#>   [54,] 0.039344197  3.160252e-02 -5.835911e-02
#>   [55,] 0.006640561  1.605893e-02  1.346067e-02
#>   [56,] 0.034386746 -5.631883e-02 -2.482930e-03
#>   [57,] 0.022402828  2.045119e-02  3.537330e-02
#>   [58,] 0.019077309 -3.037800e-02  7.323998e-03
#>   [59,] 0.039401293 -4.729552e-02 -2.661672e-02
#>   [60,] 0.019077309 -3.037800e-02  7.323998e-03
#>   [61,] 0.026210756 -3.465698e-02  9.569508e-03
#>   [62,] 0.035208110 -1.581904e-02  4.184784e-02
#>   [63,] 0.043859940  3.090721e-02  5.024220e-02
#>   [64,] 0.044506424  6.484194e-03  1.235705e-02
#>   [65,] 0.035797498  3.865600e-02 -2.777969e-02
#>   [66,] 0.021638235  3.244354e-03 -8.251035e-04
#>   [67,] 0.053832263  2.566087e-02 -6.157747e-03
#>   [68,] 0.031825495  1.224982e-02 -1.794385e-02
#>   [69,] 0.024527646  3.720544e-02 -5.976734e-02
#>   [70,] 0.030182759 -8.250799e-03 -2.663328e-04
#>   [71,] 0.014816551 -5.602919e-03  1.408229e-03
#>   [72,] 0.023649504  3.391167e-02 -5.891414e-03
#>   [73,] 0.024471194 -2.777954e-02  6.204938e-02
#>   [74,] 0.024018038  4.407837e-02  6.719794e-03
#>   [75,] 0.030675646 -2.858871e-02 -1.148149e-02
#>   [76,] 0.040715543 -2.713364e-02  6.498895e-03
#>   [77,] 0.017870364  7.681522e-03 -1.795603e-02
#>   [78,] 0.034018212 -6.648553e-02 -1.509414e-02
#>   [79,] 0.021638235  3.244354e-03 -8.251035e-04
#>   [80,] 0.019717550  1.733345e-02  6.734877e-02
#>   [81,] 0.019077309 -3.037800e-02  7.323998e-03
#>   [82,] 0.029649824  2.259150e-03 -5.245552e-02
#>   [83,] 0.017173345 -2.823913e-03  2.022589e-02
#>   [84,] 0.052914072  1.253913e-02 -1.568617e-02
#>   [85,] 0.020964226  3.079393e-02  2.608405e-02
#>   [86,] 0.035287890  4.552892e-02  3.870744e-02
#>   [87,] 0.037095027  4.535289e-02  6.060789e-02
#>   [88,] 0.027564737  3.702490e-02 -2.385962e-02
#>   [89,] 0.048177476 -3.107389e-02 -4.204873e-02
#>   [90,] 0.017377477  2.801943e-02 -6.740873e-03
#>   [91,] 0.029140216  9.132074e-03  1.403161e-02
#>   [92,] 0.028936084 -2.171127e-02  4.099838e-02
#>   [93,] 0.042602460  3.403828e-02  2.525895e-02
#>   [94,] 0.030823000  3.946065e-02  5.975844e-02
#>   [95,] 0.021966720  3.583090e-03 -5.161824e-02
#>   [96,] 0.028607280  1.964202e-02 -3.815757e-02
#>   [97,] 0.009858775  8.666726e-03  3.367438e-02
#>   [98,] 0.010901318 -8.716147e-03  1.937644e-02
#>   [99,] 0.017501830 -2.485177e-03 -3.056724e-02
#>  [100,] 0.020595691  2.062723e-02  1.347284e-02
#>  [101,] 0.039877133  2.109258e-02 -6.169925e-03
#>  [102,] 0.031151485  3.979939e-02  8.965304e-03
#>  [103,] 0.028607280  1.964202e-02 -3.815757e-02
#>  [104,] 0.020924176  2.096596e-02 -3.732029e-02
#>  [105,] 0.017008943  1.785274e-02 -1.935208e-02
#>  [106,] 0.009694373  2.934337e-02 -5.903592e-03
#>  [107,] 0.057911898  8.097449e-03  1.545202e-02
#>  [108,] 0.032703962 -8.664741e-02 -4.820975e-02
#>  [109,] 0.018912907 -9.701351e-03 -3.225398e-02
#>  [110,] 0.041905449 -3.696612e-02 -4.289819e-02
#>  [111,] 0.018912907 -9.701351e-03 -3.225398e-02
#>  [112,] 0.021638235  3.244354e-03 -8.251035e-04
#>  [113,] 0.031497010  1.191108e-02  3.284928e-02
#>  [114,] 0.026538915  6.787276e-02 -6.483365e-02
#>  [115,] 0.035700997 -3.615695e-02  3.063268e-02
#>  [116,] 0.014448017 -1.576962e-02 -1.120298e-02
#>  [117,] 0.042069851 -5.764277e-02 -3.320211e-03
#>  [118,] 0.029689873  1.208711e-02  1.094882e-02
#>  [119,] 0.047560237  1.976864e-02 -7.007205e-03
#>  [120,] 0.025224983  6.018846e-03  3.199982e-02
#>  [121,] 0.019570195 -5.071591e-02 -3.891159e-03
#>  [122,] 0.025553468  6.357582e-03 -1.879331e-02
#>  [123,] 0.042233926  2.387158e-02  1.264774e-02
#>  [124,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [125,] 0.035576644 -5.652340e-03  5.445905e-02
#>  [126,] 0.020760093 -4.942092e-05  5.305082e-02
#>  [127,] 0.035536595 -1.548030e-02 -8.945293e-03
#>  [128,] 0.029814225 -1.841750e-02 -1.287754e-02
#>  [129,] 0.014816551 -5.602919e-03  1.408229e-03
#>  [130,] 0.026760413 -3.170194e-02  6.486717e-03
#>  [131,] 0.012748186  4.262782e-02 -2.526785e-02
#>  [132,] 0.012912587  2.195117e-02  1.431013e-02
#>  [133,] 0.018912907 -9.701351e-03 -3.225398e-02
#>  [134,] 0.036619188 -2.303521e-02  4.016110e-02
#>  [135,] 0.043588233 -6.637545e-03  2.828635e-03
#>  [136,] 0.031168532 -4.892662e-02 -2.269665e-02
#>  [137,] 0.018651678  3.835335e-02 -3.702960e-02
#>  [138,] 0.007683104 -1.323940e-03 -8.372809e-04
#>  [139,] 0.049061898  5.730887e-02  5.441362e-02
#>  [140,] 0.033729458 -1.530427e-02 -3.084575e-02
#>  [141,] 0.029043389  3.651013e-02  4.883397e-02
#>  [142,] 0.044959261 -2.368168e-02 -6.226244e-02
#>  [143,] 0.012748186  4.262782e-02 -2.526785e-02
#>  [144,] 0.061350966  4.501358e-02 -4.657300e-02
#>  [145,] 0.032358430  1.739867e-03  3.424533e-02
#>  [146,] 0.032154298 -2.910348e-02  6.121210e-02
#>  [147,] 0.029140216  9.132074e-03  1.403161e-02
#>  [148,] 0.049243021  5.009721e-02  3.871962e-02
#>  [149,] 0.018584422 -1.004009e-02  1.853916e-02
#>  [150,] 0.022295523 -3.777021e-02  2.753771e-02
#>  [151,] 0.006640561  1.605893e-02  1.346067e-02
#>  [152,] 0.017337428  1.819147e-02 -7.014521e-02
#>  [153,] 0.013955131  4.568294e-03  1.217738e-05
#>  [154,] 0.045837722 -6.207994e-02  1.381072e-02
#>  [155,] 0.024510925  2.374045e-02 -4.495363e-03
#>  [156,] 0.033343877  6.325504e-02 -1.179501e-02
#>  [157,] 0.033893860 -3.598092e-02  8.732227e-03
#>  [158,] 0.012912587  2.195117e-02  1.431013e-02
#>  [159,] 0.045066567  3.453972e-02 -5.442686e-02
#>  [160,] 0.006640561  1.605893e-02  1.346067e-02
#>  [161,] 0.062172656 -1.667763e-02  2.136779e-02
#>  [162,] 0.027196203  2.685820e-02 -3.647083e-02
#>  [163,] 0.039837083  1.126461e-02 -6.957427e-02
#>  [164,] 0.008175991 -2.166185e-02 -1.205244e-02
#>  [165,] 0.030307112 -3.875541e-02 -2.409270e-02
#>  [166,] 0.051764224 -2.829940e-02 -9.223803e-03
#>  [167,] 0.011229803 -8.377411e-03 -3.141670e-02
#>  [168,] 0.033893860 -3.598092e-02  8.732227e-03
#>  [169,] 0.031225303 -2.563367e-02 -1.456428e-02
#>  [170,] 0.023445371  3.068321e-03  2.107535e-02
#>  [171,] 0.027071851  5.736281e-02 -1.264446e-02
#>  [172,] 0.020595691  2.062723e-02  1.347284e-02
#>  [173,] 0.028607280  1.964202e-02 -3.815757e-02
#>  [174,] 0.028567549 -3.187797e-02  2.838717e-02
#>  [175,] 0.014119532 -1.610835e-02  3.959015e-02
#>  [176,] 0.017870364  7.681522e-03 -1.795603e-02
#>  [177,] 0.025224983  6.018846e-03  3.199982e-02
#>  [178,] 0.006640561  1.605893e-02  1.346067e-02
#>  [179,] 0.034001165  2.224048e-02  1.656781e-02
#>  [180,] 0.019921682  4.817680e-02  4.038200e-02
#>  [181,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [182,] 0.028278796  1.930329e-02  1.263556e-02
#>  [183,] 0.014323665  1.473499e-02  1.262339e-02
#>  [184,] 0.038154617 -6.075600e-02  1.464800e-02
#>  [185,] 0.013790729  2.524494e-02 -3.956580e-02
#>  [186,] 0.013076989  1.274519e-03  5.388810e-02
#>  [187,] 0.022992542 -2.726477e-02 -1.064421e-02
#>  [188,] 0.033672680  2.190175e-02  6.736094e-02
#>  [189,] 0.027525006 -1.449510e-02  4.268512e-02
#>  [190,] 0.032868038 -5.133057e-03 -3.224180e-02
#>  [191,] 0.013076989  1.274519e-03  5.388810e-02
#>  [192,] 0.026210756 -3.465698e-02  9.569508e-03
#>  [193,] 0.041044028 -2.679491e-02 -4.429424e-02
#>  [194,] 0.013076989  1.274519e-03  5.388810e-02
#>  [195,] 0.032375151  1.520486e-02 -2.102664e-02
#>  [196,] 0.009325839  1.917668e-02 -1.851480e-02
#>  [197,] 0.014323665  1.473499e-02  1.262339e-02
#>  [198,] 0.006640561  1.605893e-02  1.346067e-02
#>  [199,] 0.011229803 -8.377411e-03 -3.141670e-02
#>  [200,] 0.046313561  6.308161e-03  3.425751e-02
#>  [201,] 0.006436428 -1.478441e-02  4.042743e-02
#>  [202,] 0.008175991 -2.166185e-02 -1.205244e-02
#>  [203,] 0.039491877 -2.539113e-03  3.649084e-02
#>  [204,] 0.042562411  2.421032e-02 -3.814539e-02
#>  [205,] 0.047191703  9.601936e-03 -1.961841e-02
#>  [206,] 0.022131121 -1.709356e-02 -1.204026e-02
#>  [207,] 0.015926669 -1.628439e-02  6.149061e-02
#>  [208,] 0.043038251  9.259842e-02 -1.769860e-02
#>  [209,] 0.027088898 -3.136320e-02 -4.430642e-02
#>  [210,] 0.059668500 -2.700703e-02  3.764926e-02
#>  [211,] 0.030799998 -5.909332e-02 -3.530786e-02
#>  [212,] 0.006272027  5.892234e-03  8.494582e-04
#>  [213,] 0.038261923 -2.534598e-03  2.248358e-02
#>  [214,] 0.039877133  2.109258e-02 -6.169925e-03
#>  [215,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [216,] 0.021088578  2.893146e-04  2.257687e-03
#>  [217,] 0.023649504  3.391167e-02 -5.891414e-03
#>  [218,] 0.014816551 -5.602919e-03  1.408229e-03
#>  [219,] 0.036783271 -2.019829e-03 -5.021001e-02
#>  [220,] 0.052421186  3.287704e-02 -4.471008e-03
#>  [221,] 0.021457112  1.045601e-02  1.486890e-02
#>  [222,] 0.014612419 -3.644627e-02  2.837500e-02
#>  [223,] 0.036930626  6.602953e-02  2.102992e-02
#>  [224,] 0.035576644 -5.652340e-03  5.445905e-02
#>  [225,] 0.003218214 -7.392207e-03  2.021372e-02
#>  [226,] 0.017870364  7.681522e-03 -1.795603e-02
#>  [227,] 0.007683104 -1.323940e-03 -8.372809e-04
#>  [228,] 0.028936084 -2.171127e-02  4.099838e-02
#>  [229,] 0.035412243  1.502431e-02  1.488107e-02
#>  [230,] 0.021252980 -2.038733e-02  4.183566e-02
#>  [231,] 0.043095347  1.370037e-02  1.404379e-02
#>  [232,] 0.015859095 -2.298579e-02 -1.288972e-02
#>  [233,] 0.020884445 -3.055403e-02  2.922445e-02
#>  [234,] 0.047480457 -4.157932e-02 -3.866804e-03
#>  [235,] 0.014283616  4.907030e-03 -5.078096e-02
#>  [236,] 0.038851311  5.194044e-02 -4.714395e-02
#>  [237,] 0.050245515  2.288638e-02 -3.898267e-02
#>  [238,] 0.012912587  2.195117e-02  1.431013e-02
#>  [239,] 0.028239065 -3.221671e-02  7.918031e-02
#>  [240,] 0.058036250 -2.240716e-02 -8.374345e-03
#>  [241,] 0.027400654  1.600951e-02  6.651149e-02
#>  [242,] 0.015859095 -2.298579e-02 -1.288972e-02
#>  [243,] 0.074904120  1.248519e-02  5.137191e-02
#>  [244,] 0.027400654  1.600951e-02  6.651149e-02
#>  [245,] 0.022131121 -1.709356e-02 -1.204026e-02
#>  [246,] 0.021966720  3.583090e-03 -5.161824e-02
#>  [247,] 0.031151485  3.979939e-02  8.965304e-03
#>  [248,] 0.015966400  3.523561e-02 -5.054134e-03
#>  [249,] 0.048528963  6.781882e-02  2.224431e-03
#>  [250,] 0.025677820 -2.414703e-02 -4.261968e-02
#>  [251,] 0.039632951 -1.957874e-02 -4.260750e-02
#>  [252,] 0.040312923  7.965271e-02 -4.912747e-02
#>  [253,] 0.009325839  1.917668e-02 -1.851480e-02
#>  [254,] 0.020720044 -9.877384e-03 -1.035352e-02
#>  [255,] 0.040165887 -3.008868e-02  9.581685e-03
#>  [256,] 0.039140390 -1.014318e-01 -7.782318e-03
#>  [257,] 0.030618550  5.030934e-02 -4.322388e-02
#>  [258,] 0.024527646  3.720544e-02 -5.976734e-02
#>  [259,] 0.048767182 -1.829089e-02  1.827282e-02
#>  [260,] 0.066580775 -3.390232e-02 -7.815574e-03
#>  [261,] 0.040165887 -3.008868e-02  9.581685e-03
#>  [262,] 0.018034765 -1.299513e-02  2.162195e-02
#>  [263,] 0.016130802  1.455896e-02  3.452384e-02
#>  [264,] 0.008175991 -2.166185e-02 -1.205244e-02
#>  [265,] 0.026046354 -1.398033e-02 -3.000847e-02
#>  [266,] 0.024306792 -7.102892e-03  2.247140e-02
#>  [267,] 0.023139896  4.078459e-02  6.059572e-02
#>  [268,] 0.038261923 -2.534598e-03  2.248358e-02
#>  [269,] 0.034715224  4.518873e-03  5.306300e-02
#>  [270,] 0.020431290  4.130388e-02 -2.610513e-02
#>  [271,] 0.025553468  6.357582e-03 -1.879331e-02
#>  [272,] 0.036930626  6.602953e-02  2.102992e-02
#>  [273,] 0.023649504  3.391167e-02 -5.891414e-03
#>  [274,] 0.013076989  1.274519e-03  5.388810e-02
#>  [275,] 0.030799998 -5.909332e-02 -3.530786e-02
#>  [276,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [277,] 0.059940214 -4.996125e-02 -2.127624e-02
#>  [278,] 0.025020532  1.686753e-02 -7.098249e-02
#>  [279,] 0.068223184  8.878930e-02 -4.910312e-02
#>  [280,] 0.027196203  2.685820e-02 -3.647083e-02
#>  [281,] 0.021966720  3.583090e-03 -5.161824e-02
#>  [282,] 0.032851317 -1.859805e-02  2.303017e-02
#>  [283,] 0.014323665  1.473499e-02  1.262339e-02
#>  [284,] 0.017008943  1.785274e-02 -1.935208e-02
#>  [285,] 0.030732416 -5.295759e-03 -3.349123e-03
#>  [286,] 0.044795178 -4.469707e-02  2.810866e-02
#>  [287,] 0.060546642 -2.371326e-02 -1.622666e-02
#>  [288,] 0.024306792 -7.102892e-03  2.247140e-02
#>  [289,] 0.016499336  2.472566e-02  4.713505e-02
#>  [290,] 0.036619188 -2.303521e-02  4.016110e-02
#>  [291,] 0.010736917  1.196050e-02 -2.020154e-02
#>  [292,] 0.056410236 -2.944279e-02 -4.596880e-02
#>  [293,] 0.015366208 -2.647880e-03 -1.674562e-03
#>  [294,] 0.033343877  6.325504e-02 -1.179501e-02
#>  [295,] 0.023542199 -2.430973e-02 -1.372700e-02
#>  [296,] 0.062393835 -7.456030e-02 -3.726093e-02
#>  [297,] 0.006272027  5.892234e-03  8.494582e-04
#>  [298,] 0.025553468  6.357582e-03 -1.879331e-02
#>  [299,] 0.027088898 -3.136320e-02 -4.430642e-02
#>  [300,] 0.025184934 -3.809117e-03 -3.140452e-02
#>  [301,] 0.015966400  3.523561e-02 -5.054134e-03
#>  [302,] 0.054965391  5.303441e-02  4.265186e-02
#>  [303,] 0.048217525 -2.124593e-02  2.135561e-02
#>  [304,] 0.018420021  1.063656e-02 -2.103882e-02
#>  [305,] 0.019077309 -3.037800e-02  7.323998e-03
#>  [306,] 0.052931119 -7.618688e-02 -4.734812e-02
#>  [307,] 0.011394205 -2.905406e-02  8.161279e-03
#>  [308,] 0.015966400  3.523561e-02 -5.054134e-03
#>  [309,] 0.040386740  1.421965e-02 -7.265706e-02
#>  [310,] 0.022935764  9.941245e-03  8.756248e-02
#>  [311,] 0.025224983  6.018846e-03  3.199982e-02
#>  [312,] 0.051764224 -2.829940e-02 -9.223803e-03
#>  [313,] 0.017008943  1.785274e-02 -1.935208e-02
#>  [314,] 0.003053813  1.328444e-02 -1.936426e-02
#>  [315,] 0.025717869 -1.431907e-02  2.078466e-02
#>  [316,] 0.016499336  2.472566e-02  4.713505e-02
#>  [317,] 0.012912587  2.195117e-02  1.431013e-02
#>  [318,] 0.007683104 -1.323940e-03 -8.372809e-04
#>  [319,] 0.039384246  4.143049e-02  5.045232e-03
#>  [320,] 0.017541879  7.342786e-03  3.283710e-02
#>  [321,] 0.033196523 -4.794321e-03 -8.303493e-02
#>  [322,] 0.038998991  1.779880e-02  4.770600e-02
#>  [323,] 0.006272027  5.892234e-03  8.494582e-04
#>  [324,] 0.059668500 -2.700703e-02  3.764926e-02
#>  [325,] 0.046659093 -8.207912e-02 -4.819757e-02
#>  [326,] 0.051928300  5.321496e-02  6.744149e-03
#>  [327,] 0.053520826 -6.340388e-02  1.297343e-02
#>  [328,] 0.018034765 -1.299513e-02  2.162195e-02
#>  [329,] 0.014612419 -3.644627e-02  2.837500e-02
#>  [330,] 0.054325150  5.322957e-03 -1.737290e-02
#>  [331,] 0.048200478  6.748009e-02  5.301756e-02
#>  [332,] 0.037587914  2.501497e-02  4.939274e-02
#>  [333,] 0.054013712 -8.374179e-02  1.758277e-03
#>  [334,] 0.026596011 -1.102529e-02 -3.309126e-02
#>  [335,] 0.016844542  3.852938e-02 -5.893006e-02
#>  [336,] 0.006272027  5.892234e-03  8.494582e-04
#>  [337,] 0.073294827  1.891456e-02 -4.149452e-02
#>  [338,] 0.022131121 -1.709356e-02 -1.204026e-02
#>  [339,] 0.025224983  6.018846e-03  3.199982e-02
#>  [340,] 0.028936084 -2.171127e-02  4.099838e-02
#>  [341,] 0.020555642  1.079926e-02 -4.993150e-02
#>  [342,] 0.026046354 -1.398033e-02 -3.000847e-02
#>  [343,] 0.026596011 -1.102529e-02 -3.309126e-02
#>  [344,] 0.041559917  5.142115e-02  3.955690e-02
#>  [345,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [346,] 0.010901318 -8.716147e-03  1.937644e-02
#>  [347,] 0.027400654  1.600951e-02  6.651149e-02
#>  [348,] 0.059282926 -8.946689e-03 -4.963906e-02
#>  [349,] 0.024018038  4.407837e-02  6.719794e-03
#>  [350,] 0.033893860 -3.598092e-02  8.732227e-03
#>  [351,] 0.010736917  1.196050e-02 -2.020154e-02
#>  [352,] 0.031661093  3.292646e-02 -5.752183e-02
#>  [353,] 0.025020532  1.686753e-02 -7.098249e-02
#>  [354,] 0.026596011 -1.102529e-02 -3.309126e-02
#>  [355,] 0.018420021  1.063656e-02 -2.103882e-02
#>  [356,] 0.016499336  2.472566e-02  4.713505e-02
#>  [357,] 0.020595691  2.062723e-02  1.347284e-02
#>  [358,] 0.027910261  9.136588e-03  2.435476e-05
#>  [359,] 0.013955131  4.568294e-03  1.217738e-05
#>  [360,] 0.013955131  4.568294e-03  1.217738e-05
#>  [361,] 0.025842222 -4.482368e-02 -3.041701e-03
#>  [362,] 0.027088898 -3.136320e-02 -4.430642e-02
#>  [363,] 0.022131121 -1.709356e-02 -1.204026e-02
#>  [364,] 0.044506424  6.484194e-03  1.235705e-02
#>  [365,] 0.033876813  5.274509e-02  4.039418e-02
#>  [366,] 0.037865863 -9.574739e-03 -1.103614e-03
#>  [367,] 0.032194029  2.241651e-02 -5.332644e-03
#>  [368,] 0.028114394  3.997994e-02 -2.694241e-02
#>  [369,] 0.026334782  3.702941e-02 -3.786688e-02
#>  [370,] 0.012379652  3.246112e-02 -3.787906e-02
#>  [371,] 0.017173345 -2.823913e-03  2.022589e-02
#>  [372,] 0.036454786 -2.358565e-03  5.831254e-04
#>  [373,] 0.015966400  3.523561e-02 -5.054134e-03
#>  [374,] 0.020431290  4.130388e-02 -2.610513e-02
#>  [375,] 0.049735908  2.975930e-02  2.750446e-02
#>  [376,] 0.035961900  1.797935e-02  1.179828e-02
#>  [377,] 0.023542199 -2.430973e-02 -1.372700e-02
#>  [378,] 0.041315735  1.074984e-02  3.119323e-03
#>  [379,] 0.049735908  2.975930e-02  2.750446e-02
#>  [380,] 0.040919676  3.709702e-03 -2.046787e-02
#>  [381,] 0.029814225 -1.841750e-02 -1.287754e-02
#>  [382,] 0.018034765 -1.299513e-02  2.162195e-02
#>  [383,] 0.020924176  2.096596e-02 -3.732029e-02
#>  [384,] 0.017666231 -2.316183e-02  9.010737e-03
#>  [385,] 0.013281122  3.211787e-02  2.692133e-02
#>  [386,] 0.035247841  3.570096e-02 -2.469690e-02
#>  [387,] 0.017173345 -2.823913e-03  2.022589e-02
#>  [388,] 0.049095667 -1.795215e-02 -3.252031e-02
#>  [389,] 0.040313241  3.796068e-02  8.082161e-02
#>  [390,] 0.040919676  3.709702e-03 -2.046787e-02
#>  [391,] 0.024182440  2.340172e-02  4.629777e-02
#>  [392,] 0.042891214 -1.714298e-02  4.101056e-02
#>  [393,] 0.052670209 -6.982421e-02  7.782534e-02
#>  [394,] 0.030635597 -3.841668e-02 -7.488583e-02
#>  [395,] 0.019921682  4.817680e-02  4.038200e-02
#>  [396,] 0.014448017 -1.576962e-02 -1.120298e-02
#>  [397,] 0.027253299 -5.203985e-02 -4.728440e-03
#>  [398,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [399,] 0.049554785  3.697096e-02  4.319846e-02
#>  [400,] 0.041865718 -8.848612e-02  2.364656e-02
#>  [401,] 0.042562411  2.421032e-02 -3.814539e-02
#>  [402,] 0.078728769 -2.915799e-02 -2.970385e-02
#>  [403,] 0.006272027  5.892234e-03  8.494582e-04
#>  [404,] 0.017377477  2.801943e-02 -6.740873e-03
#>  [405,] 0.048710085  6.060716e-02 -1.346957e-02
#>  [406,] 0.039015712  3.126379e-02 -7.565976e-03
#>  [407,] 0.036783271 -2.019829e-03 -5.021001e-02
#>  [408,] 0.006107625  2.656888e-02 -3.872852e-02
#>  [409,] 0.023485102  5.458832e-02 -4.546939e-02
#>  [410,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [411,] 0.038261923 -2.534598e-03  2.248358e-02
#>  [412,] 0.029881800 -1.171609e-02  6.150279e-02
#>  [413,] 0.027729139  1.634825e-02  1.571835e-02
#>  [414,] 0.026562243  6.423573e-02  5.384267e-02
#>  [415,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [416,] 0.007683104 -1.323940e-03 -8.372809e-04
#>  [417,] 0.040041534  4.159269e-04  3.340805e-02
#>  [418,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [419,] 0.021802636 -1.743229e-02  3.875287e-02
#>  [420,] 0.025621042  1.305899e-02  5.558702e-02
#>  [421,] 0.012748186  4.262782e-02 -2.526785e-02
#>  [422,] 0.028114394  3.997994e-02 -2.694241e-02
#>  [423,] 0.021088578  2.893146e-04  2.257687e-03
#>  [424,] 0.033689727 -6.682427e-02  3.569899e-02
#>  [425,] 0.023978307 -7.441628e-03  7.326454e-02
#>  [426,] 0.043095347  1.370037e-02  1.404379e-02
#>  [427,] 0.027088898 -3.136320e-02 -4.430642e-02
#>  [428,] 0.014448017 -1.576962e-02 -1.120298e-02
#>  [429,] 0.026760413 -3.170194e-02  6.486717e-03
#>  [430,] 0.009161438  3.985332e-02 -5.809278e-02
#>  [431,] 0.045288065 -6.503498e-02  1.689351e-02
#>  [432,] 0.021457112  1.045601e-02  1.486890e-02
#>  [433,] 0.035429290 -7.370170e-02 -1.678088e-02
#>  [434,] 0.027253299 -5.203985e-02 -4.728440e-03
#>  [435,] 0.024142390  1.357376e-02 -1.710657e-02
#>  [436,] 0.015859095 -2.298579e-02 -1.288972e-02
#>  [437,] 0.013790729  2.524494e-02 -3.956580e-02
#>  [438,] 0.010736917  1.196050e-02 -2.020154e-02
#>  [439,] 0.037316207 -1.252978e-02  1.979177e-03
#>  [440,] 0.022006769  1.341105e-02  1.178611e-02
#>  [441,] 0.024018038  4.407837e-02  6.719794e-03
#>  [442,] 0.024018038  4.407837e-02  6.719794e-03
#>  [443,] 0.018420021  1.063656e-02 -2.103882e-02
#>  [444,] 0.006640561  1.605893e-02  1.346067e-02
#>  [445,] 0.019184614  2.784340e-02  1.515958e-02
#>  [446,] 0.034386421  4.587217e-02 -2.609295e-02
#>  [447,] 0.030142710 -1.807876e-02 -6.367067e-02
#>  [448,] 0.003218214 -7.392207e-03  2.021372e-02
#>  [449,] 0.013790729  2.524494e-02 -3.956580e-02
#>  [450,] 0.047174982 -3.863053e-03  3.565356e-02
#>  [451,] 0.044080794  7.521554e-02 -3.199655e-02
#>  [452,] 0.025717869 -1.431907e-02  2.078466e-02
#>  [453,] 0.025456641  3.373564e-02  1.600904e-02
#>  [454,] 0.017501830 -2.485177e-03 -3.056724e-02
#>  [455,] 0.031718189 -4.597158e-02 -2.577944e-02
#>  [456,] 0.015966400  3.523561e-02 -5.054134e-03
#>  [457,] 0.051639871  2.205215e-03  1.460256e-02
#>  [458,] 0.032211076 -6.630950e-02 -3.699459e-02
#>  [459,] 0.013281122  3.211787e-02  2.692133e-02
#>  [460,] 0.023649504  3.391167e-02 -5.891414e-03
#>  [461,] 0.014816551 -5.602919e-03  1.408229e-03
#>  [462,] 0.015966400  3.523561e-02 -5.054134e-03
#>  [463,] 0.025717869 -1.431907e-02  2.078466e-02
#>  [464,] 0.003218214 -7.392207e-03  2.021372e-02
#>  [465,] 0.018584422 -1.004009e-02  1.853916e-02
#>  [466,] 0.037423512  4.569162e-02  9.814762e-03
#>  [467,] 0.056869355  2.548032e-02  2.974997e-02
#>  [468,] 0.035429290 -7.370170e-02 -1.678088e-02
#>  [469,] 0.006640561  1.605893e-02  1.346067e-02
#>  [470,] 0.030782951  2.963269e-02 -3.645905e-03
#>  [471,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [472,] 0.055243341  1.844470e-02 -7.844486e-03
#>  [473,] 0.030374686 -3.205401e-02  5.028763e-02
#>  [474,] 0.031825495  1.224982e-02 -1.794385e-02
#>  [475,] 0.028403148 -1.120132e-02 -1.119080e-02
#>  [476,] 0.072376962 -9.639818e-02 -2.741291e-02
#>  [477,] 0.033236572  5.033642e-03 -1.963059e-02
#>  [478,] 0.017870364  7.681522e-03 -1.795603e-02
#>  [479,] 0.018420021  1.063656e-02 -2.103882e-02
#>  [480,] 0.026596011 -1.102529e-02 -3.309126e-02
#>  [481,] 0.027581784 -5.170112e-02 -5.552157e-02
#>  [482,] 0.017541879  7.342786e-03  3.283710e-02
#>  [483,] 0.016130802  1.455896e-02  3.452384e-02
#>  [484,] 0.031989896 -8.426832e-03  2.163412e-02
#>  [485,] 0.022992542 -2.726477e-02 -1.064421e-02
#>  [486,] 0.042930945  3.437702e-02 -2.553418e-02
#>  [487,] 0.009858775  8.666726e-03  3.367438e-02
#>  [488,] 0.027746186 -7.237776e-02 -1.594360e-02
#>  [489,] 0.022006769  1.341105e-02  1.178611e-02
#>  [490,] 0.018034765 -1.299513e-02  2.162195e-02
#>  [491,] 0.022131121 -1.709356e-02 -1.204026e-02
#>  [492,] 0.026760413 -3.170194e-02  6.486717e-03
#>  [493,] 0.030085614  6.081929e-02 -9.541306e-02
#>  [494,] 0.035519548  7.324571e-02  2.271666e-02
#>  [495,] 0.048602780  2.385762e-03 -2.130515e-02
#>  [496,] 0.040715543 -2.713364e-02  6.498895e-03
#>  [497,] 0.061458597  1.043977e-03 -1.512739e-02
#>  [498,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [499,] 0.025184934 -3.809117e-03 -3.140452e-02
#>  [500,] 0.024018038  4.407837e-02  6.719794e-03
#>  [501,] 0.011229803 -8.377411e-03 -3.141670e-02
#>  [502,] 0.024102660 -3.794624e-02  4.943817e-02
#>  [503,] 0.048234246 -7.780937e-03 -3.391636e-02
#>  [504,] 0.040845859  6.914276e-02  3.061712e-03
#>  [505,] 0.000000000  0.000000e+00  0.000000e+00
#>  [506,] 0.044778131  4.402895e-02  5.977061e-02
#>  [507,] 0.041026981  6.193110e-02 -1.263229e-02
#>  [508,] 0.053447008  2.029181e-03  3.650302e-02
#>  [509,] 0.006436428 -1.478441e-02  4.042743e-02
#>  [510,] 0.014816551 -5.602919e-03  1.408229e-03
#>  [511,] 0.009694373  2.934337e-02 -5.903592e-03
#>  [512,] 0.027893540 -4.328401e-03  5.529633e-02
#>  [513,] 0.024306792 -7.102892e-03  2.247140e-02
#>  [514,] 0.014119532 -1.610835e-02  3.959015e-02
#>  [515,] 0.034550822  2.519552e-02  1.348502e-02
#>  [516,] 0.019184614  2.784340e-02  1.515958e-02
#>  [517,] 0.038358750 -2.991265e-02 -1.231877e-02
#>  [518,] 0.011229803 -8.377411e-03 -3.141670e-02
#>  [519,] 0.027196203  2.685820e-02 -3.647083e-02
#>  [520,] 0.024306792 -7.102892e-03  2.247140e-02
#>  [521,] 0.011394205 -2.905406e-02  8.161279e-03
#>  [522,] 0.024856449 -4.147853e-03  1.938861e-02
#>  [523,] 0.019570195 -5.071591e-02 -3.891159e-03
#>  [524,] 0.006640561  1.605893e-02  1.346067e-02
#>  [525,] 0.043055616 -3.781963e-02  8.058853e-02
#>  [526,] 0.032194029  2.241651e-02 -5.332644e-03
#>  [527,] 0.036947673 -2.269648e-02 -1.063203e-02
#>  [528,] 0.018584422 -1.004009e-02  1.853916e-02
#>  [529,] 0.034879307  2.553426e-02 -3.730811e-02
#>  [530,] 0.017377477  2.801943e-02 -6.740873e-03
#>  [531,] 0.020760093 -4.942092e-05  5.305082e-02
#>  [532,] 0.027088898 -3.136320e-02 -4.430642e-02
#>  [533,] 0.012748186  4.262782e-02 -2.526785e-02
#>  [534,] 0.027236252  3.668616e-02  2.693351e-02
#>  [535,] 0.040658773 -5.042660e-02 -1.633472e-03
#>  [536,] 0.023977989  3.425040e-02 -5.668455e-02
#>  [537,] 0.034443517 -3.302588e-02  5.649436e-03
#>  [538,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [539,] 0.014816551 -5.602919e-03  1.408229e-03
#>  [540,] 0.068467692  2.726961e-02  1.094448e-02
#>  [541,] 0.041865718 -8.848612e-02  2.364656e-02
#>  [542,] 0.017830633 -4.383847e-02  4.858871e-02
#>  [543,] 0.017008943  1.785274e-02 -1.935208e-02
#>  [544,] 0.024510925  2.374045e-02 -4.495363e-03
#>  [545,] 0.003053813  1.328444e-02 -1.936426e-02
#>  [546,] 0.048727132 -2.811885e-02 -4.513152e-02
#>  [547,] 0.022295523 -3.777021e-02  2.753771e-02
#>  [548,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [549,] 0.021638235  3.244354e-03 -8.251035e-04
#>  [550,] 0.028647330  2.946999e-02  2.524677e-02
#>  [551,] 0.040879945 -4.781029e-02  4.607687e-02
#>  [552,] 0.034017886  3.570547e-02 -3.870416e-02
#>  [553,] 0.039508599  1.092588e-02 -1.878113e-02
#>  [554,] 0.007683104 -1.323940e-03 -8.372809e-04
#>  [555,] 0.017008943  1.785274e-02 -1.935208e-02
#>  [556,] 0.024675326  3.063807e-03  3.508261e-02
#>  [557,] 0.028278796  1.930329e-02  1.263556e-02
#>  [558,] 0.013955131  4.568294e-03  1.217738e-05
#>  [559,] 0.025224983  6.018846e-03  3.199982e-02
#>  [560,] 0.045491871  6.799937e-02 -3.368328e-02
#>  [561,] 0.029428970 -4.204919e-02  2.978322e-02
#>  [562,] 0.006107625  2.656888e-02 -3.872852e-02
#>  [563,] 0.042052804  3.108324e-02  2.834174e-02
#>  [564,] 0.053849310 -6.306514e-02 -3.781970e-02
#>  [565,] 0.020964226  3.079393e-02  2.608405e-02
#>  [566,] 0.024182440  2.340172e-02  4.629777e-02
#>  [567,] 0.027236252  3.668616e-02  2.693351e-02
#>  [568,] 0.030290065  4.997060e-02  7.569252e-03
#>  [569,] 0.033672680  2.190175e-02  6.736094e-02
#>  [570,] 0.036250654 -3.320191e-02  2.754989e-02
#>  [571,] 0.066087889 -1.356440e-02  3.399583e-03
#>  [572,] 0.003218214 -7.392207e-03  2.021372e-02
#>  [573,] 0.038794540  2.864748e-02 -5.527632e-02
#>  [574,] 0.020431290  4.130388e-02 -2.610513e-02
#>  [575,] 0.015859095 -2.298579e-02 -1.288972e-02
#>  [576,] 0.031701142  4.275443e-02  5.882513e-03
#>  [577,] 0.029633103 -1.120584e-02  2.816458e-03
#>  [578,] 0.036947673 -2.269648e-02 -1.063203e-02
#>  [579,] 0.017501830 -2.485177e-03 -3.056724e-02
#>  [580,] 0.028647330  2.946999e-02  2.524677e-02
#>  [581,] 0.027253299 -5.203985e-02 -4.728440e-03
#>  [582,] 0.039984438  7.931398e-02  1.665661e-03
#>  [583,] 0.041684269  2.091654e-02  1.573053e-02
#>  [584,] 0.023813906  1.323502e-02  3.368656e-02
#>  [585,] 0.053758446  9.109393e-02  1.737184e-02
#>  [586,] 0.014448017 -1.576962e-02 -1.120298e-02
#>  [587,] 0.013955131  4.568294e-03  1.217738e-05
#>  [588,] 0.018912907 -9.701351e-03 -3.225398e-02
#>  [589,] 0.021252980 -2.038733e-02  4.183566e-02
#>  [590,] 0.037990216 -4.007935e-02 -2.492998e-02
#>  [591,] 0.022624008 -3.743147e-02 -2.325542e-02
#>  [592,] 0.041412562 -1.662821e-02 -3.168303e-02
#>  [593,] 0.028278796  1.930329e-02  1.263556e-02
#>  [594,] 0.014816551 -5.602919e-03  1.408229e-03
#>  [595,] 0.031292877 -1.893227e-02  5.981605e-02
#>  [596,] 0.017541879  7.342786e-03  3.283710e-02
#>  [597,] 0.040534421 -1.992199e-02  2.219289e-02
#>  [598,] 0.039797353 -4.025538e-02 -3.029523e-03
#>  [599,] 0.009490241 -1.499973e-03  2.106318e-02
#>  [600,] 0.052806767 -4.568227e-02 -2.352175e-02
#>  [601,] 0.046806447 -1.402975e-02  2.304235e-02
#>  [602,] 0.048834438  3.010255e-02 -3.729593e-02
#>  [603,] 0.021088578  2.893146e-04  2.257687e-03
#>  [604,] 0.044137890 -3.682505e-03 -2.541554e-04
#>  [605,] 0.033893860 -3.598092e-02  8.732227e-03
#>  [606,] 0.035740728  1.536304e-02 -3.591206e-02
#>  [607,] 0.029264568 -2.137254e-02 -9.794751e-03
#>  [608,] 0.018034765 -1.299513e-02  2.162195e-02
#>  [609,] 0.033837082  1.225098e-03  1.069389e-01
#>  [610,] 0.035355146  9.392236e-02 -1.686132e-02
#>  [611,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [612,] 0.029264568 -2.137254e-02 -9.794751e-03
#>  [613,] 0.028936084 -2.171127e-02  4.099838e-02
#>  [614,] 0.013076989  1.274519e-03  5.388810e-02
#>  [615,] 0.038998991  1.779880e-02  4.770600e-02
#>  [616,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [617,] 0.018912907 -9.701351e-03 -3.225398e-02
#>  [618,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [619,] 0.021966720  3.583090e-03 -5.161824e-02
#>  [620,] 0.057871849 -1.730515e-03 -4.795232e-02
#>  [621,] 0.023049312 -3.971819e-03 -2.511843e-03
#>  [622,] 0.052806767 -4.568227e-02 -2.352175e-02
#>  [623,] 0.011394205 -2.905406e-02  8.161279e-03
#>  [624,] 0.030799998 -5.909332e-02 -3.530786e-02
#>  [625,] 0.027236252  3.668616e-02  2.693351e-02
#>  [626,] 0.028114394  3.997994e-02 -2.694241e-02
#>  [627,] 0.015859095 -2.298579e-02 -1.288972e-02
#>  [628,] 0.050614049  3.305308e-02 -2.637146e-02
#>  [629,] 0.044466375 -3.343769e-03 -5.104729e-02
#>  [630,] 0.016351981 -4.332370e-02 -2.410488e-02
#>  [631,] 0.032194029  2.241651e-02 -5.332644e-03
#>  [632,] 0.025553468  6.357582e-03 -1.879331e-02
#>  [633,] 0.027360605  6.181549e-03  3.107145e-03
#>  [634,] 0.017666231 -2.316183e-02  9.010737e-03
#>  [635,] 0.012544053  1.178447e-02  1.698916e-03
#>  [636,] 0.024018038  4.407837e-02  6.719794e-03
#>  [637,] 0.030471513 -5.943206e-02  1.548528e-02
#>  [638,] 0.027564737  3.702490e-02 -2.385962e-02
#>  [639,] 0.010736917  1.196050e-02 -2.020154e-02
#>  [640,] 0.025677820 -2.414703e-02 -4.261968e-02
#>  [641,] 0.033032439 -2.580971e-02  7.336175e-03
#>  [642,] 0.020720044 -9.877384e-03 -1.035352e-02
#>  [643,] 0.018034765 -1.299513e-02  2.162195e-02
#>  [644,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [645,] 0.037990216 -4.007935e-02 -2.492998e-02
#>  [646,] 0.031168532 -4.892662e-02 -2.269665e-02
#>  [647,] 0.009325839  1.917668e-02 -1.851480e-02
#>  [648,] 0.017377477  2.801943e-02 -6.740873e-03
#>  [649,] 0.021252980 -2.038733e-02  4.183566e-02
#>  [650,] 0.023139896  4.078459e-02  6.059572e-02
#>  [651,] 0.003218214 -7.392207e-03  2.021372e-02
#>  [652,] 0.027236252  3.668616e-02  2.693351e-02
#>  [653,] 0.028097673  2.651495e-02  2.832956e-02
#>  [654,] 0.049491726 -1.091201e-02 -8.933115e-03
#>  [655,] 0.034001165  2.224048e-02  1.656781e-02
#>  [656,] 0.029264568 -2.137254e-02 -9.794751e-03
#>  [657,] 0.020595691  2.062723e-02  1.347284e-02
#>  [658,] 0.008175991 -2.166185e-02 -1.205244e-02
#>  [659,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [660,] 0.028607280  1.964202e-02 -3.815757e-02
#>  [661,] 0.042602460  3.403828e-02  2.525895e-02
#>  [662,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [663,] 0.029814225 -1.841750e-02 -1.287754e-02
#>  [664,] 0.034369699  3.240718e-02  2.917902e-02
#>  [665,] 0.020227157  1.046053e-02  8.616356e-04
#>  [666,] 0.033032439 -2.580971e-02  7.336175e-03
#>  [667,] 0.047644540 -2.056394e-02 -9.423791e-02
#>  [668,] 0.045475150  5.453438e-02  2.158869e-02
#>  [669,] 0.040165887 -3.008868e-02  9.581685e-03
#>  [670,] 0.036783271 -2.019829e-03 -5.021001e-02
#>  [671,] 0.029757129  6.048055e-02 -4.461993e-02
#>  [672,] 0.035780777  2.519101e-02  2.749228e-02
#>  [673,] 0.014119532 -1.610835e-02  3.959015e-02
#>  [674,] 0.032211076 -6.630950e-02 -3.699459e-02
#>  [675,] 0.029100167 -6.958896e-04 -4.937273e-02
#>  [676,] 0.026596011 -1.102529e-02 -3.309126e-02
#>  [677,] 0.027196203  2.685820e-02 -3.647083e-02
#>  [678,] 0.037604961 -6.371104e-02  1.773079e-02
#>  [679,] 0.030675646 -2.858871e-02 -1.148149e-02
#>  [680,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [681,] 0.035700997 -3.615695e-02  3.063268e-02
#>  [682,] 0.022992542 -2.726477e-02 -1.064421e-02
#>  [683,] 0.046823169 -5.647627e-04 -3.222962e-02
#>  [684,] 0.033508279  4.257839e-02  2.778297e-02
#>  [685,] 0.046970849 -3.470640e-02  6.262033e-02
#>  [686,] 0.010736917  1.196050e-02 -2.020154e-02
#>  [687,] 0.024182440  2.340172e-02  4.629777e-02
#>  [688,] 0.024018038  4.407837e-02  6.719794e-03
#>  [689,] 0.078796344 -2.245658e-02  4.467648e-02
#>  [690,] 0.012912587  2.195117e-02  1.431013e-02
#>  [691,] 0.017337428  1.819147e-02 -7.014521e-02
#>  [692,] 0.040273192  2.813272e-02  1.741727e-02
#>  [693,] 0.041808622 -9.588070e-03 -8.095834e-03
#>  [694,] 0.009161438  3.985332e-02 -5.809278e-02
#>  [695,] 0.043769356 -1.384920e-02 -1.286536e-02
#>  [696,] 0.044466375 -3.343769e-03 -5.104729e-02
#>  [697,] 0.055883582  6.615615e-02  5.218028e-02
#>  [698,] 0.022006769  1.341105e-02  1.178611e-02
#>  [699,] 0.023773856  3.407057e-03 -2.971778e-02
#>  [700,] 0.017377477  2.801943e-02 -6.740873e-03
#>  [701,] 0.029978627 -3.909415e-02  2.670043e-02
#>  [702,] 0.033236572  5.033642e-03 -1.963059e-02
#>  [703,] 0.009694373  2.934337e-02 -5.903592e-03
#>  [704,] 0.036414737 -1.218653e-02 -6.282122e-02
#>  [705,] 0.014612419 -3.644627e-02  2.837500e-02
#>  [706,] 0.006272027  5.892234e-03  8.494582e-04
#>  [707,] 0.028403148 -1.120132e-02 -1.119080e-02
#>  [708,] 0.010901318 -8.716147e-03  1.937644e-02
#>  [709,] 0.010736917  1.196050e-02 -2.020154e-02
#>  [710,] 0.041684269  2.091654e-02  1.573053e-02
#>  [711,] 0.045616549 -6.469624e-02 -3.389963e-02
#>  [712,] 0.036930626  6.602953e-02  2.102992e-02
#>  [713,] 0.026210756 -3.465698e-02  9.569508e-03
#>  [714,] 0.006272027  5.892234e-03  8.494582e-04
#>  [715,] 0.017501830 -2.485177e-03 -3.056724e-02
#>  [716,] 0.014119532 -1.610835e-02  3.959015e-02
#>  [717,] 0.053282607  2.270583e-02 -3.074957e-03
#>  [718,] 0.034369699  3.240718e-02  2.917902e-02
#>  [719,] 0.015859095 -2.298579e-02 -1.288972e-02
#>  [720,] 0.028607280  1.964202e-02 -3.815757e-02
#>  [721,] 0.030578819 -1.210658e-03  2.332086e-02
#>  [722,] 0.024306792 -7.102892e-03  2.247140e-02
#>  [723,] 0.045820675  2.664607e-02  4.547267e-02
#>  [724,] 0.036823320  7.808134e-03  1.319433e-02
#>  [725,] 0.051067205 -3.880483e-02  2.895812e-02
#>  [726,] 0.020227157  1.046053e-02  8.616356e-04
#>  [727,] 0.042217205  1.040659e-02  6.791972e-02
#>  [728,] 0.014612419 -3.644627e-02  2.837500e-02
#>  [729,] 0.028114394  3.997994e-02 -2.694241e-02
#>  [730,] 0.035208110 -1.581904e-02  4.184784e-02
#>  [731,] 0.043939720  9.225517e-02  4.710179e-02
#>  [732,] 0.009858775  8.666726e-03  3.367438e-02
#>  [733,] 0.066211915  5.812199e-02 -4.403681e-02
#>  [734,] 0.029978627 -3.909415e-02  2.670043e-02
#>  [735,] 0.053027939 -4.306597e-02  2.418859e-02
#>  [736,] 0.045763904  3.353121e-03  3.734030e-02
#>  [737,] 0.010901318 -8.716147e-03  1.937644e-02
#>  [738,] 0.013955131  4.568294e-03  1.217738e-05
#>  [739,] 0.017337746 -2.350056e-02  5.980387e-02
#>  [740,] 0.023649504  3.391167e-02 -5.891414e-03
#>  [741,] 0.045475150  5.453438e-02  2.158869e-02
#>  [742,] 0.009858775  8.666726e-03  3.367438e-02
#>  [743,] 0.047577284 -6.895738e-02 -3.866916e-02
#>  [744,] 0.046517693  3.715151e-02  7.290742e-03
#>  [745,] 0.006640561  1.605893e-02  1.346067e-02
#>  [746,] 0.037893389 -1.270130e-02  9.872373e-03
#>  [747,] 0.014283616  4.907030e-03 -5.078096e-02
#>  [748,] 0.010736917  1.196050e-02 -2.020154e-02
#>  [749,] 0.046698816  2.993985e-02 -8.403257e-03
#>  [750,] 0.014283616  4.907030e-03 -5.078096e-02
#>  [751,] 0.033400974 -1.564301e-02  1.994738e-02
#>  [752,] 0.024675326  3.063807e-03  3.508261e-02
#>  [753,] 0.039780306  4.847063e-02  2.863243e-02
#>  [754,] 0.020595691  2.062723e-02  1.347284e-02
#>  [755,] 0.046041854 -3.123659e-02 -1.315605e-02
#>  [756,] 0.046166206 -6.174120e-02 -3.698242e-02
#>  [757,] 0.014283616  4.907030e-03 -5.078096e-02
#>  [758,] 0.009694373  2.934337e-02 -5.903592e-03
#>  [759,] 0.026267526 -1.136403e-02  1.770187e-02
#>  [760,] 0.040148840  5.863733e-02  4.124364e-02
#>  [761,] 0.022606961  5.129454e-02  8.406533e-03
#>  [762,] 0.011394205 -2.905406e-02  8.161279e-03
#>  [763,] 0.006436428 -1.478441e-02  4.042743e-02
#>  [764,] 0.007683104 -1.323940e-03 -8.372809e-04
#>  [765,] 0.014323665  1.473499e-02  1.262339e-02
#>  [766,] 0.052421186  3.287704e-02 -4.471008e-03
#>  [767,] 0.021966720  3.583090e-03 -5.161824e-02
#>  [768,] 0.014816551 -5.602919e-03  1.408229e-03
#>  [769,] 0.018584422 -1.004009e-02  1.853916e-02
#>  [770,] 0.006107625  2.656888e-02 -3.872852e-02
#>  [771,] 0.030182759 -8.250799e-03 -2.663328e-04
#>  [772,] 0.017541879  7.342786e-03  3.283710e-02
#>  [773,] 0.018034765 -1.299513e-02  2.162195e-02
#>  [774,] 0.038590408 -2.195863e-03 -2.830955e-02
#>  [775,] 0.037990216 -4.007935e-02 -2.492998e-02
#>  [776,] 0.050302611 -5.601167e-02 -7.240282e-03
#>  [777,] 0.009694373  2.934337e-02 -5.903592e-03
#>  [778,] 0.015859095 -2.298579e-02 -1.288972e-02
#>  [779,] 0.017830633 -4.383847e-02  4.858871e-02
#>  [780,] 0.050409917  2.209729e-03  5.953028e-04
#>  [781,] 0.019184614  2.784340e-02  1.515958e-02
#>  [782,] 0.011394205 -2.905406e-02  8.161279e-03
#>  [783,] 0.029264568 -2.137254e-02 -9.794751e-03
#>  [784,] 0.019077309 -3.037800e-02  7.323998e-03
#>  [785,] 0.014448017 -1.576962e-02 -1.120298e-02
#>  [786,] 0.031701142  4.275443e-02  5.882513e-03
#>  [787,] 0.027032120  5.842813e-03  5.390028e-02
#>  [788,] 0.028403148 -1.120132e-02 -1.119080e-02
#>  [789,] 0.038851636 -5.025056e-02 -2.353393e-02
#>  [790,] 0.023938258 -1.726959e-02  9.860195e-03
#>  [791,] 0.017377477  2.801943e-02 -6.740873e-03
#>  [792,] 0.017008943  1.785274e-02 -1.935208e-02
#>  [793,] 0.006272027  5.892234e-03  8.494582e-04
#>  [794,] 0.053225510  1.016039e-01 -3.481735e-02
#>  [795,] 0.009858775  8.666726e-03  3.367438e-02
#>  [796,] 0.025456641  3.373564e-02  1.600904e-02
#>  [797,] 0.039877133  2.109258e-02 -6.169925e-03
#>  [798,] 0.003218214 -7.392207e-03  2.021372e-02
#>  [799,] 0.007683104 -1.323940e-03 -8.372809e-04
#>  [800,] 0.041576964 -3.730486e-02  7.894946e-03
#>  [801,] 0.036930626  6.602953e-02  2.102992e-02
#>  [802,] 0.043112394 -7.502564e-02 -1.761816e-02
#>  [803,] 0.035208110 -1.581904e-02  4.184784e-02
#>  [804,] 0.042726813  3.533669e-03  1.432584e-03
#>  [805,] 0.027893540 -4.328401e-03  5.529633e-02
#>  [806,] 0.048546010 -2.090719e-02 -2.943752e-02
#>  [807,] 0.010736917  1.196050e-02 -2.020154e-02
#>  [808,] 0.030414417  1.946599e-02 -1.625711e-02
#>  [809,] 0.014119532 -1.610835e-02  3.959015e-02
#>  [810,] 0.036454786 -2.358565e-03  5.831254e-04
#>  [811,] 0.039877133  2.109258e-02 -6.169925e-03
#>  [812,] 0.032318381 -8.088097e-03 -2.915901e-02
#>  [813,] 0.035412243  1.502431e-02  1.488107e-02
#>  [814,] 0.017830633 -4.383847e-02  4.858871e-02
#>  [815,] 0.027196203  2.685820e-02 -3.647083e-02
#>  [816,] 0.025842222 -4.482368e-02 -3.041701e-03
#>  [817,] 0.032743685  2.537155e-02 -8.415434e-03
#>  [818,] 0.023542199 -2.430973e-02 -1.372700e-02
#>  [819,] 0.035151014  6.307901e-02  1.010545e-02
#>  [820,] 0.018034765 -1.299513e-02  2.162195e-02
#>  [821,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [822,] 0.057707766 -2.274590e-02  4.241879e-02
#>  [823,] 0.019553148  3.801010e-02  2.777079e-02
#>  [824,] 0.003218214 -7.392207e-03  2.021372e-02
#>  [825,] 0.014323665  1.473499e-02  1.262339e-02
#>  [826,] 0.033893860 -3.598092e-02  8.732227e-03
#>  [827,] 0.014119532 -1.610835e-02  3.959015e-02
#>  [828,] 0.031989896 -8.426832e-03  2.163412e-02
#>  [829,] 0.033689727 -6.682427e-02  3.569899e-02
#>  [830,] 0.020431290  4.130388e-02 -2.610513e-02
#>  [831,] 0.015859095 -2.298579e-02 -1.288972e-02
#>  [832,] 0.053571361 -2.847543e-02  1.267665e-02
#>  [833,] 0.009694373  2.934337e-02 -5.903592e-03
#>  [834,] 0.024510925  2.374045e-02 -4.495363e-03
#>  [835,] 0.045123663 -4.435833e-02 -2.268447e-02
#>  [836,] 0.058569186 -3.291711e-02  4.381484e-02
#>  [837,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [838,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [839,] 0.072269331 -5.242858e-02 -5.885852e-02
#>  [840,] 0.017377477  2.801943e-02 -6.740873e-03
#>  [841,] 0.033400974 -1.564301e-02  1.994738e-02
#>  [842,] 0.024018038  4.407837e-02  6.719794e-03
#>  [843,] 0.008175991 -2.166185e-02 -1.205244e-02
#>  [844,] 0.031168532 -4.892662e-02 -2.269665e-02
#>  [845,] 0.019020212  4.852005e-02 -2.441839e-02
#>  [846,] 0.056245835 -8.766141e-03 -8.554677e-02
#>  [847,] 0.046602315 -4.487310e-02  5.000912e-02
#>  [848,] 0.032647184 -4.944139e-02  4.999694e-02
#>  [849,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [850,] 0.021473833  2.392100e-02 -4.040308e-02
#>  [851,] 0.054365199  1.515092e-02  4.603144e-02
#>  [852,] 0.031825495  1.224982e-02 -1.794385e-02
#>  [853,] 0.055656447 -6.324118e-02 -1.591924e-02
#>  [854,] 0.043973489  1.699414e-02 -3.983213e-02
#>  [855,] 0.018034765 -1.299513e-02  2.162195e-02
#>  [856,] 0.034329969 -1.911281e-02  9.572376e-02
#>  [857,] 0.049038896 -4.124510e-02 -4.065268e-02
#>  [858,] 0.047191703  9.601936e-03 -1.961841e-02
#>  [859,] 0.016351981 -4.332370e-02 -2.410488e-02
#>  [860,] 0.031151485  3.979939e-02  8.965304e-03
#>  [861,] 0.041412562 -1.662821e-02 -3.168303e-02
#>  [862,] 0.020760093 -4.942092e-05  5.305082e-02
#>  [863,] 0.030454466  2.929395e-02  4.714723e-02
#>  [864,] 0.027253299 -5.203985e-02 -4.728440e-03
#>  [865,] 0.018912907 -9.701351e-03 -3.225398e-02
#>  [866,] 0.033950630 -1.268797e-02  1.686459e-02
#>  [867,] 0.027088898 -3.136320e-02 -4.430642e-02
#>  [868,] 0.018420021  1.063656e-02 -2.103882e-02
#>  [869,] 0.007683104 -1.323940e-03 -8.372809e-04
#>  [870,] 0.022992542 -2.726477e-02 -1.064421e-02
#>  [871,] 0.030823000  3.946065e-02  5.975844e-02
#>  [872,] 0.039123343 -1.270581e-02  2.387963e-02
#>  [873,] 0.037973169  4.864666e-02  6.731972e-03
#>  [874,] 0.012215250  5.313776e-02 -7.745703e-02
#>  [875,] 0.020760093 -4.942092e-05  5.305082e-02
#>  [876,] 0.038630457  7.632101e-03  3.509479e-02
#>  [877,] 0.017377477  2.801943e-02 -6.740873e-03
#>  [878,] 0.024306792 -7.102892e-03  2.247140e-02
#>  [879,] 0.023813906  1.323502e-02  3.368656e-02
#>  [880,] 0.017501830 -2.485177e-03 -3.056724e-02
#>  [881,] 0.018584422 -1.004009e-02  1.853916e-02
#>  [882,] 0.024142390  1.357376e-02 -1.710657e-02
#>  [883,] 0.039673000 -9.750772e-03  2.079684e-02
#>  [884,] 0.025717869 -1.431907e-02  2.078466e-02
#>  [885,] 0.033893860 -3.598092e-02  8.732227e-03
#>  [886,] 0.015859095 -2.298579e-02 -1.288972e-02
#>  [887,] 0.022131121 -1.709356e-02 -1.204026e-02
#>  [888,] 0.041412562 -1.662821e-02 -3.168303e-02
#>  [889,] 0.034879307  2.553426e-02 -3.730811e-02
#>  [890,] 0.042726813  3.533669e-03  1.432584e-03
#>  [891,] 0.035083758  1.468557e-02  6.567421e-02
#>  [892,] 0.055203617 -9.357427e-02 -4.763880e-02
#>  [893,] 0.037316207 -1.252978e-02  1.979177e-03
#>  [894,] 0.051599822 -7.622749e-03 -4.880178e-02
#>  [895,] 0.003053813  1.328444e-02 -1.936426e-02
#>  [896,] 0.044590727 -3.384838e-02 -7.487365e-02
#>  [897,] 0.038358750 -2.991265e-02 -1.231877e-02
#>  [898,] 0.000000000  0.000000e+00  0.000000e+00
#>  [899,] 0.045984758  4.766146e-02 -4.489844e-02
#>  [900,] 0.003053813  1.328444e-02 -1.936426e-02
#>  [901,] 0.031989896 -8.426832e-03  2.163412e-02
#>  [902,] 0.014816551 -5.602919e-03  1.408229e-03
#>  [903,] 0.030250334 -1.549394e-03  7.411399e-02
#>  [904,] 0.044999311 -1.385372e-02  1.141896e-03
#>  [905,] 0.045945027 -3.858538e-03  2.164630e-02
#>  [906,] 0.040534421 -1.992199e-02  2.219289e-02
#>  [907,] 0.017870364  7.681522e-03 -1.795603e-02
#>  [908,] 0.014323665  1.473499e-02  1.262339e-02
#>  [909,] 0.015859095 -2.298579e-02 -1.288972e-02
#>  [910,] 0.009858775  8.666726e-03  3.367438e-02
#>  [911,] 0.008175991 -2.166185e-02 -1.205244e-02
#>  [912,] 0.035247841  3.570096e-02 -2.469690e-02
#>  [913,] 0.018034765 -1.299513e-02  2.162195e-02
#>  [914,] 0.024018038  4.407837e-02  6.719794e-03
#>  [915,] 0.015762267  4.392261e-03  2.191263e-02
#>  [916,] 0.045271018  2.369103e-02  4.855546e-02
#>  [917,] 0.014323665  1.473499e-02  1.262339e-02
#>  [918,] 0.039401293 -4.729552e-02 -2.661672e-02
#>  [919,] 0.009858775  8.666726e-03  3.367438e-02
#>  [920,] 0.045616224  3.749476e-02 -5.750965e-02
#>  [921,] 0.030618868  8.617305e-03  8.672520e-02
#>  [922,] 0.044755129 -5.452503e-02 -3.529568e-02
#>  [923,] 0.037825814 -1.940270e-02 -6.450795e-02
#>  [924,] 0.050393196 -1.125526e-02  5.586728e-02
#>  [925,] 0.023542199 -2.430973e-02 -1.372700e-02
#>  [926,] 0.007683104 -1.323940e-03 -8.372809e-04
#>  [927,] 0.019921682  4.817680e-02  4.038200e-02
#>  [928,] 0.018912907 -9.701351e-03 -3.225398e-02
#>  [929,] 0.019388747  5.868675e-02 -1.180718e-02
#>  [930,] 0.052115711  7.059331e-02  3.504936e-02
#>  [931,] 0.027031801  4.753484e-02 -7.604881e-02
#>  [932,] 0.030307112 -3.875541e-02 -2.409270e-02
#>  [933,] 0.041412562 -1.662821e-02 -3.168303e-02
#>  [934,] 0.036619188 -2.303521e-02  4.016110e-02
#>  [935,] 0.038137570  2.797001e-02  4.630995e-02
#>  [936,] 0.041026981  6.193110e-02 -1.263229e-02
#>  [937,] 0.020062756  3.113718e-02 -3.871634e-02
#>  [938,] 0.028181650  8.837337e-02 -8.251117e-02
#>  [939,] 0.022499655 -6.926859e-03  5.709480e-04
#>  [940,] 0.031225303 -2.563367e-02 -1.456428e-02
#>  [941,] 0.028097673  2.651495e-02  2.832956e-02
#>  [942,] 0.030618868  8.617305e-03  8.672520e-02
#>  [943,] 0.028647330  2.946999e-02  2.524677e-02
#>  [944,] 0.043095347  1.370037e-02  1.404379e-02
#>  [945,] 0.036414737 -1.218653e-02 -6.282122e-02
#>  [946,] 0.032743685  2.537155e-02 -8.415434e-03
#>  [947,] 0.055169523  8.387775e-02  1.568510e-02
#>  [948,] 0.006436428 -1.478441e-02  4.042743e-02
#>  [949,] 0.025184934 -3.809117e-03 -3.140452e-02
#>  [950,] 0.043463881  2.386707e-02  2.665500e-02
#>  [951,] 0.020062756  3.113718e-02 -3.871634e-02
#>  [952,] 0.028647330  2.946999e-02  2.524677e-02
#>  [953,] 0.036947673 -2.269648e-02 -1.063203e-02
#>  [954,] 0.003218214 -7.392207e-03  2.021372e-02
#>  [955,] 0.028771682 -1.034625e-03  1.420406e-03
#>  [956,] 0.033525326 -4.614762e-02 -3.878982e-03
#>  [957,] 0.009694373  2.934337e-02 -5.903592e-03
#>  [958,] 0.017870364  7.681522e-03 -1.795603e-02
#>  [959,] 0.010736917  1.196050e-02 -2.020154e-02
#>  [960,] 0.022295523 -3.777021e-02  2.753771e-02
#>  [961,] 0.025717869 -1.431907e-02  2.078466e-02
#>  [962,] 0.046001805 -4.106455e-02 -7.656039e-02
#>  [963,] 0.047134932 -1.369102e-02 -2.775078e-02
#>  [964,] 0.030947353  8.956041e-03  3.593207e-02
#>  [965,] 0.019184614  2.784340e-02  1.515958e-02
#>  [966,] 0.024510925  2.374045e-02 -4.495363e-03
#>  [967,] 0.020431290  4.130388e-02 -2.610513e-02
#>  [968,] 0.017541879  7.342786e-03  3.283710e-02
#>  [969,] 0.022006769  1.341105e-02  1.178611e-02
#>  [970,] 0.014448017 -1.576962e-02 -1.120298e-02
#>  [971,] 0.019077309 -3.037800e-02  7.323998e-03
#>  [972,] 0.043588233 -6.637545e-03  2.828635e-03
#>  [973,] 0.041888402  5.175989e-02 -1.123624e-02
#>  [974,] 0.013955131  4.568294e-03  1.217738e-05
#>  [975,] 0.037933120  3.881870e-02 -5.667237e-02
#>  [976,] 0.025224983  6.018846e-03  3.199982e-02
#>  [977,] 0.053503779  2.532213e-02  4.463539e-02
#>  [978,] 0.019553148  3.801010e-02  2.777079e-02
#>  [979,] 0.003218214 -7.392207e-03  2.021372e-02
#>  [980,] 0.023542199 -2.430973e-02 -1.372700e-02
#>  [981,] 0.033950630 -1.268797e-02  1.686459e-02
#>  [982,] 0.039015712  3.126379e-02 -7.565976e-03
#>  [983,] 0.034919356  3.536222e-02  2.609623e-02
#>  [984,] 0.024182440  2.340172e-02  4.629777e-02
#>  [985,] 0.015966400  3.523561e-02 -5.054134e-03
#>  [986,] 0.041044028 -2.679491e-02 -4.429424e-02
#>  [987,] 0.014612419 -3.644627e-02  2.837500e-02
#>  [988,] 0.031718189 -4.597158e-02 -2.577944e-02
#>  [989,] 0.029978627 -3.909415e-02  2.670043e-02
#>  [990,] 0.032743685  2.537155e-02 -8.415434e-03
#>  [991,] 0.043752635 -2.731419e-02  4.240661e-02
#>  [992,] 0.029083120  8.803012e-02 -1.771078e-02
#>  [993,] 0.024182440  2.340172e-02  4.629777e-02
#>  [994,] 0.033236572  5.033642e-03 -1.963059e-02
#>  [995,] 0.017870364  7.681522e-03 -1.795603e-02
#>  [996,] 0.014816551 -5.602919e-03  1.408229e-03
#>  [997,] 0.029428970 -4.204919e-02  2.978322e-02
#>  [998,] 0.021088578  2.893146e-04  2.257687e-03
#>  [999,] 0.039837083  1.126461e-02 -6.957427e-02
#> [1000,] 0.026760413 -3.170194e-02  6.486717e-03
#> 
#> $v
#>                 [,1]          [,2]          [,3]
#>   [1,]  6.243477e-02 -4.791908e-02 -5.101317e-02
#>   [2,]  1.121003e-01  1.476307e-01  5.546759e-03
#>   [3,]  8.253232e-02  5.768142e-03  2.009312e-02
#>   [4,]  9.954402e-02 -1.504544e-01  1.230655e-01
#>   [5,]  4.657971e-02 -1.435999e-02  8.842603e-02
#>   [6,] -3.164840e-18 -2.029398e-17  5.103778e-16
#>   [7,]  3.595261e-02  2.012813e-02 -6.833291e-02
#>   [8,]  9.838738e-02 -2.779095e-02 -1.193461e-01
#>   [9,]  1.059286e-01 -2.721889e-01  6.927897e-02
#>  [10,]  1.745351e-01  9.971163e-02 -4.546641e-02
#>  [11,]  5.296431e-02 -1.360944e-01  3.463949e-02
#>  [12,]  1.586801e-01  1.332707e-01  9.397279e-02
#>  [13,]  2.648215e-02 -6.804721e-02  1.731974e-02
#>  [14,]  1.840056e-01  1.878870e-01 -1.311191e-01
#>  [15,]  7.190523e-02  4.025626e-02 -1.366658e-01
#>  [16,]  8.253232e-02  5.768142e-03  2.009312e-02
#>  [17,]  2.009756e-02  5.368723e-02  7.110629e-02
#>  [18,]  1.639080e-01  1.341997e-01 -2.022254e-01
#>  [19,]  8.253232e-02  5.768142e-03  2.009312e-02
#>  [20,]  5.296431e-02 -1.360944e-01  3.463949e-02
#>  [21,]  4.019512e-02  1.073745e-01  1.422126e-01
#>  [22,]  1.153991e-01 -1.840135e-01 -1.637368e-02
#>  [23,]  8.253232e-02  5.768142e-03  2.009312e-02
#>  [24,]  1.927034e-01 -1.791744e-01  2.999176e-01
#>  [25,]  6.243477e-02 -4.791908e-02 -5.101317e-02
#>  [26,]  5.605017e-02  7.381535e-02  2.773379e-03
#>  [27,]  1.248695e-01 -9.583817e-02 -1.020263e-01
#>  [28,]  1.321979e-01  2.013179e-01  7.665305e-02
#>  [29,]  2.009756e-02  5.368723e-02  7.110629e-02
#>  [30,]  2.009756e-02  5.368723e-02  7.110629e-02
#>  [31,]  9.315942e-02 -2.871998e-02  1.768521e-01
#>  [32,]  2.648215e-02 -6.804721e-02  1.731974e-02
#>  [33,]  2.648215e-02 -6.804721e-02  1.731974e-02
#>  [34,]  1.153991e-01 -1.840135e-01 -1.637368e-02
#>  [35,]  7.614773e-02  1.275026e-01  7.387967e-02
#>  [36,]  4.657971e-02 -1.435999e-02  8.842603e-02
#>  [37,]  9.838738e-02 -2.779095e-02 -1.193461e-01
#>  [38,]  1.840056e-01  1.878870e-01 -1.311191e-01
#>  [39,]  7.190523e-02  4.025626e-02 -1.366658e-01
#>  [40,]  5.605017e-02  7.381535e-02  2.773379e-03
#>  [41,]  1.090145e-01 -6.227907e-02  3.741286e-02
#>  [42,]  1.555942e-01 -7.663906e-02  1.258389e-01
#>  [43,]  1.163428e-01  2.348770e-01  2.160922e-01
#>  [44,]  1.248695e-01 -9.583817e-02 -1.020263e-01
#>  [45,]  4.838567e-19  1.335378e-18 -2.347467e-16
#>  [46,]  6.243477e-02 -4.791908e-02 -5.101317e-02
#>  [47,]  1.090145e-01 -6.227907e-02  3.741286e-02
#>  [48,]  2.168723e-01 -1.894683e-03 -1.675859e-01
#>  [49,]  7.190523e-02  4.025626e-02 -1.366658e-01
#>  [50,]  9.954402e-02 -1.504544e-01  1.230655e-01
#>  [51,]  1.354966e-01 -1.303263e-01  5.473261e-02
#>  [52,]  3.595261e-02  2.012813e-02 -6.833291e-02
#>  [53,]  6.243477e-02 -4.791908e-02 -5.101317e-02
#>  [54,]  5.605017e-02  7.381535e-02  2.773379e-03
#>  [55,]  1.248695e-01 -9.583817e-02 -1.020263e-01
#>  [56,]  6.243477e-02 -4.791908e-02 -5.101317e-02
#>  [57,]  4.019512e-02  1.073745e-01  1.422126e-01
#>  [58,]  1.438105e-01  8.051252e-02 -2.733316e-01
#>  [59,]  9.838738e-02 -2.779095e-02 -1.193461e-01
#>  [60,]  9.315942e-02 -2.871998e-02  1.768521e-01
#>  [61,]  1.265598e-18 -8.902129e-18 -5.988784e-16
#>  [62,]  1.787776e-01  1.869579e-01  1.650791e-01
#>  [63,]  8.253232e-02  5.768142e-03  2.009312e-02
#>  [64,]  8.253232e-02  5.768142e-03  2.009312e-02
#>  [65,]  8.891692e-02 -1.159663e-01 -3.369343e-02
#>  [66,]  9.200278e-02  9.394348e-02 -6.555953e-02
#>  [67,]  6.667727e-02  3.932724e-02  1.595323e-01
#>  [68,]  5.605017e-02  7.381535e-02  2.773379e-03
#>  [69,]  3.595261e-02  2.012813e-02 -6.833291e-02
#>  [70,]  3.595261e-02  2.012813e-02 -6.833291e-02
#>  [71,]  1.714492e-01 -1.101982e-01 -1.360030e-02
#>  [72,]  2.648215e-02 -6.804721e-02  1.731974e-02
#>  [73,]  8.253232e-02  5.768142e-03  2.009312e-02
#>  [74,]  7.944646e-02 -2.041416e-01  5.195923e-02
#>  [75,]  1.714492e-01 -1.101982e-01 -1.360030e-02
#>  [76,]  1.343400e-01 -7.662824e-03 -1.876790e-01
#>  [77,]  7.306186e-02 -8.240720e-02  1.057458e-01
#>  [78,]  1.163428e-01  2.348770e-01  2.160922e-01
#>  [79,]  9.838738e-02 -2.779095e-02 -1.193461e-01
#>  [80,]  1.090145e-01 -6.227907e-02  3.741286e-02
#>  [81,]  2.074019e-01 -9.007003e-02 -8.193321e-02
#>  [82,] -3.091541e-18 -6.384692e-18  5.962858e-16
#>  [83,]  3.595261e-02  2.012813e-02 -6.833291e-02
#>  [84,]  9.624529e-02  1.811898e-01  1.449860e-01
#>  [85,]  3.910909e-18  1.252071e-17 -6.254434e-16
#>  [86,]  7.614773e-02  1.275026e-01  7.387967e-02
#>  [87,]  7.306186e-02 -8.240720e-02  1.057458e-01
#>  [88,]  5.605017e-02  7.381535e-02  2.773379e-03
#>  [89,]  8.253232e-02  5.768142e-03  2.009312e-02
#>  [90,]  5.296431e-02 -1.360944e-01  3.463949e-02
#>  [91,]  7.190523e-02  4.025626e-02 -1.366658e-01
#>  [92,]  1.851622e-01  6.522351e-02  1.112925e-01
#>  [93,]  8.253232e-02  5.768142e-03  2.009312e-02
#>  [94,]  1.026299e-01  5.945537e-02  9.119941e-02
#>  [95,]  1.248695e-01 -9.583817e-02 -1.020263e-01
#>  [96,]  5.296431e-02 -1.360944e-01  3.463949e-02
#>  [97,]  1.090145e-01 -6.227907e-02  3.741286e-02
#>  [98,]  4.657971e-02 -1.435999e-02  8.842603e-02
#>  [99,]  3.595261e-02  2.012813e-02 -6.833291e-02
#> [100,]  1.279554e-01  1.140716e-01 -1.338924e-01
#> 
#> $niter
#> [1] 1
#> 
#> $nops
#> [1] 43
#>