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Spherical density estimation

Usage

# S3 method for class 'spherical'
density(x, ...)

density_calc(
  x,
  FUN = exponential_kamb,
  n = 128L,
  sigma = 3,
  weights = NULL,
  upper.hem = FALSE,
  r = 1
)

Arguments

x

object of class "Vec3", "Line", "Ray", or "Plane", where the rows are the observations and the columns are the coordinates.

...

arguments passed to density_calc()

FUN

density estimation function if kamb=TRUE; one of exponential_kamb() (the default), kamb_count, and schmidt_count().

n

integer. Grid size. 128 by default.

sigma

numeric. Radius for Kamb circle used for counting. 3 by default.

weights

(optional) numeric vector of length of nrow(x). The relative weight to be applied to each input measurement. The array will be normalized to sum to 1, so absolute value of the weights do not affect the result. Defaults to NULL

upper.hem

logical. Whether the projection is shown for upper hemisphere (TRUE) or lower hemisphere (FALSE, the default).

r

numeric. radius of stereonet circle

Examples

set.seed(20250411)
test <- rfb(100, mu = Line(120, 10), k = 5, A = diag(c(-1, 0, 1)))
density(x = test, n = 100, sigma = 3, weights = runif(100))
#> $x
#>   [1] -1.00000000 -0.97979798 -0.95959596 -0.93939394 -0.91919192 -0.89898990
#>   [7] -0.87878788 -0.85858586 -0.83838384 -0.81818182 -0.79797980 -0.77777778
#>  [13] -0.75757576 -0.73737374 -0.71717172 -0.69696970 -0.67676768 -0.65656566
#>  [19] -0.63636364 -0.61616162 -0.59595960 -0.57575758 -0.55555556 -0.53535354
#>  [25] -0.51515152 -0.49494949 -0.47474747 -0.45454545 -0.43434343 -0.41414141
#>  [31] -0.39393939 -0.37373737 -0.35353535 -0.33333333 -0.31313131 -0.29292929
#>  [37] -0.27272727 -0.25252525 -0.23232323 -0.21212121 -0.19191919 -0.17171717
#>  [43] -0.15151515 -0.13131313 -0.11111111 -0.09090909 -0.07070707 -0.05050505
#>  [49] -0.03030303 -0.01010101  0.01010101  0.03030303  0.05050505  0.07070707
#>  [55]  0.09090909  0.11111111  0.13131313  0.15151515  0.17171717  0.19191919
#>  [61]  0.21212121  0.23232323  0.25252525  0.27272727  0.29292929  0.31313131
#>  [67]  0.33333333  0.35353535  0.37373737  0.39393939  0.41414141  0.43434343
#>  [73]  0.45454545  0.47474747  0.49494949  0.51515152  0.53535354  0.55555556
#>  [79]  0.57575758  0.59595960  0.61616162  0.63636364  0.65656566  0.67676768
#>  [85]  0.69696970  0.71717172  0.73737374  0.75757576  0.77777778  0.79797980
#>  [91]  0.81818182  0.83838384  0.85858586  0.87878788  0.89898990  0.91919192
#>  [97]  0.93939394  0.95959596  0.97979798  1.00000000
#> 
#> $y
#>   [1] -1.00000000 -0.97979798 -0.95959596 -0.93939394 -0.91919192 -0.89898990
#>   [7] -0.87878788 -0.85858586 -0.83838384 -0.81818182 -0.79797980 -0.77777778
#>  [13] -0.75757576 -0.73737374 -0.71717172 -0.69696970 -0.67676768 -0.65656566
#>  [19] -0.63636364 -0.61616162 -0.59595960 -0.57575758 -0.55555556 -0.53535354
#>  [25] -0.51515152 -0.49494949 -0.47474747 -0.45454545 -0.43434343 -0.41414141
#>  [31] -0.39393939 -0.37373737 -0.35353535 -0.33333333 -0.31313131 -0.29292929
#>  [37] -0.27272727 -0.25252525 -0.23232323 -0.21212121 -0.19191919 -0.17171717
#>  [43] -0.15151515 -0.13131313 -0.11111111 -0.09090909 -0.07070707 -0.05050505
#>  [49] -0.03030303 -0.01010101  0.01010101  0.03030303  0.05050505  0.07070707
#>  [55]  0.09090909  0.11111111  0.13131313  0.15151515  0.17171717  0.19191919
#>  [61]  0.21212121  0.23232323  0.25252525  0.27272727  0.29292929  0.31313131
#>  [67]  0.33333333  0.35353535  0.37373737  0.39393939  0.41414141  0.43434343
#>  [73]  0.45454545  0.47474747  0.49494949  0.51515152  0.53535354  0.55555556
#>  [79]  0.57575758  0.59595960  0.61616162  0.63636364  0.65656566  0.67676768
#>  [85]  0.69696970  0.71717172  0.73737374  0.75757576  0.77777778  0.79797980
#>  [91]  0.81818182  0.83838384  0.85858586  0.87878788  0.89898990  0.91919192
#>  [97]  0.93939394  0.95959596  0.97979798  1.00000000
#> 
#> $density
#>        [,1]      [,2]       [,3]        [,4]       [,5]       [,6]       [,7]
#>   [1,]   NA        NA         NA          NA         NA         NA         NA
#>   [2,]   NA        NA         NA          NA         NA         NA         NA
#>   [3,]   NA        NA         NA          NA         NA         NA         NA
#>   [4,]   NA        NA         NA          NA         NA         NA         NA
#>   [5,]   NA        NA         NA          NA         NA         NA         NA
#>   [6,]   NA        NA         NA          NA         NA         NA         NA
#>   [7,]   NA        NA         NA          NA         NA         NA         NA
#>   [8,]   NA        NA         NA          NA         NA         NA         NA
#>   [9,]   NA        NA         NA          NA         NA         NA         NA
#>  [10,]   NA        NA         NA          NA         NA         NA         NA
#>  [11,]   NA        NA         NA          NA         NA         NA         NA
#>  [12,]   NA        NA         NA          NA         NA         NA         NA
#>  [13,]   NA        NA         NA          NA         NA         NA         NA
#>  [14,]   NA        NA         NA          NA         NA         NA         NA
#>  [15,]   NA        NA         NA          NA         NA         NA         NA
#>  [16,]   NA        NA         NA          NA         NA         NA         NA
#>  [17,]   NA        NA         NA          NA         NA         NA         NA
#>  [18,]   NA        NA         NA          NA         NA         NA         NA
#>  [19,]   NA        NA         NA          NA         NA         NA         NA
#>  [20,]   NA        NA         NA          NA         NA         NA         NA
#>  [21,]   NA        NA         NA          NA         NA         NA         NA
#>  [22,]   NA        NA         NA          NA         NA         NA         NA
#>  [23,]   NA        NA         NA          NA         NA         NA         NA
#>  [24,]   NA        NA         NA          NA         NA         NA         NA
#>  [25,]   NA        NA         NA          NA         NA         NA         NA
#>  [26,]   NA        NA         NA          NA         NA         NA         NA
#>  [27,]   NA        NA         NA          NA         NA         NA 0.14688497
#>  [28,]   NA        NA         NA          NA         NA         NA 0.08610574
#>  [29,]   NA        NA         NA          NA         NA 0.09073662 0.03176513
#>  [30,]   NA        NA         NA          NA         NA 0.03919566 0.00000000
#>  [31,]   NA        NA         NA          NA         NA 0.00000000 0.00000000
#>  [32,]   NA        NA         NA          NA 0.01305846 0.00000000 0.00000000
#>  [33,]   NA        NA         NA          NA 0.00000000 0.00000000 0.00000000
#>  [34,]   NA        NA         NA 0.012727549 0.00000000 0.00000000 0.00000000
#>  [35,]   NA        NA         NA 0.000000000 0.00000000 0.00000000 0.00000000
#>  [36,]   NA        NA         NA 0.000000000 0.00000000 0.00000000 0.00000000
#>  [37,]   NA        NA 0.03097798 0.000000000 0.00000000 0.00000000 0.00000000
#>  [38,]   NA        NA 0.02423026 0.000000000 0.00000000 0.00000000 0.00000000
#>  [39,]   NA        NA 0.02373942 0.000000000 0.00000000 0.00000000 0.00000000
#>  [40,]   NA        NA 0.02936251 0.000000000 0.00000000 0.00000000 0.00000000
#>  [41,]   NA 0.1321931 0.04103526 0.000000000 0.00000000 0.00000000 0.00000000
#>  [42,]   NA 0.1512956 0.05879747 0.000000000 0.00000000 0.00000000 0.00000000
#>  [43,]   NA 0.1770456 0.08280648 0.009291036 0.00000000 0.00000000 0.00000000
#>  [44,]   NA 0.2096205 0.11333862 0.037995946 0.00000000 0.00000000 0.00000000
#>  [45,]   NA 0.2492798 0.15077845 0.073396373 0.01503086 0.00000000 0.00000000
#>  [46,]   NA 0.2963475 0.19559658 0.116104965 0.05576072 0.01121935 0.00000000
#>  [47,]   NA 0.3511841 0.24831707 0.166802766 0.10452663 0.05807992 0.02353168
#>  [48,]   NA 0.4141516 0.30947623 0.226193227 0.16219004 0.11399001 0.07755991
#>  [49,]   NA 0.4855713 0.37957508 0.294949308 0.22958701 0.17993737 0.14185031
#>  [50,]   NA 0.5656799 0.45902828 0.373656588 0.30746624 0.25682430 0.21744593
#>  [51,]   NA 0.6545843 0.54811306 0.462755849 0.39642605 0.34539996 0.30523779
#>  [52,]   NA 0.7522208 0.64692150 0.562489060 0.49685425 0.44619495 0.40589531
#>  [53,]   NA 0.8583210 0.75532020 0.672852809 0.60887552 0.55946282 0.51980278
#>  [54,]   NA 0.9723860 0.87292041 0.793563106 0.73231030 0.68513305 0.64700677
#>  [55,]   NA 1.0936743 0.99906154 0.924034781 0.86664937 0.82278001 0.78717904
#>  [56,]   NA 1.2212005 1.13280941 1.063377676 1.01104674 0.97161128 0.93959922
#>  [57,]   NA 1.3537481 1.27296956 1.210410240 1.16433218 1.13047732 1.10315984
#>  [58,]   NA 1.4898922 1.41811387 1.363689328 1.32504279 1.29790276 1.27639462
#>  [59,]   NA 1.6280305 1.56661751 1.521553011 1.49147071 1.47213673 1.45752871
#>  [60,]   NA 1.7664187 1.71670139 1.682171449 1.66172190 1.65121793 1.64454669
#>  [61,]   NA        NA 1.86647498 1.843599554 1.83377934 1.83304719 1.83527203
#>  [62,]   NA        NA 2.01397404 2.003824742 2.00556276 2.01545942 2.02744937
#>  [63,]   NA        NA 2.15718883 2.160803641 2.17497709 2.19628572 2.21882005
#>  [64,]   NA        NA 2.29408058 2.312483443 2.33994346 2.37339761 2.40718123
#>  [65,]   NA        NA         NA 2.456806467 2.49840883 2.54472717 2.59042064
#>  [66,]   NA        NA         NA 2.591700163 2.64833453 2.70826085 2.76652180
#>  [67,]   NA        NA         NA 2.715058734 2.78766816 2.86200895 2.93353911
#>  [68,]   NA        NA         NA          NA 2.91430797 3.00395816 3.08954742
#>  [69,]   NA        NA         NA          NA 3.02607231 3.13201910 3.23257587
#>  [70,]   NA        NA         NA          NA         NA 3.24398426 3.36054094
#>  [71,]   NA        NA         NA          NA         NA 3.33751330 3.47119644
#>  [72,]   NA        NA         NA          NA         NA 3.41016056 3.56211890
#>  [73,]   NA        NA         NA          NA         NA         NA 3.63074437
#>  [74,]   NA        NA         NA          NA         NA         NA 3.67446650
#>  [75,]   NA        NA         NA          NA         NA         NA         NA
#>  [76,]   NA        NA         NA          NA         NA         NA         NA
#>  [77,]   NA        NA         NA          NA         NA         NA         NA
#>  [78,]   NA        NA         NA          NA         NA         NA         NA
#>  [79,]   NA        NA         NA          NA         NA         NA         NA
#>  [80,]   NA        NA         NA          NA         NA         NA         NA
#>  [81,]   NA        NA         NA          NA         NA         NA         NA
#>  [82,]   NA        NA         NA          NA         NA         NA         NA
#>  [83,]   NA        NA         NA          NA         NA         NA         NA
#>  [84,]   NA        NA         NA          NA         NA         NA         NA
#>  [85,]   NA        NA         NA          NA         NA         NA         NA
#>  [86,]   NA        NA         NA          NA         NA         NA         NA
#>  [87,]   NA        NA         NA          NA         NA         NA         NA
#>  [88,]   NA        NA         NA          NA         NA         NA         NA
#>  [89,]   NA        NA         NA          NA         NA         NA         NA
#>  [90,]   NA        NA         NA          NA         NA         NA         NA
#>  [91,]   NA        NA         NA          NA         NA         NA         NA
#>  [92,]   NA        NA         NA          NA         NA         NA         NA
#>  [93,]   NA        NA         NA          NA         NA         NA         NA
#>  [94,]   NA        NA         NA          NA         NA         NA         NA
#>  [95,]   NA        NA         NA          NA         NA         NA         NA
#>  [96,]   NA        NA         NA          NA         NA         NA         NA
#>  [97,]   NA        NA         NA          NA         NA         NA         NA
#>  [98,]   NA        NA         NA          NA         NA         NA         NA
#>  [99,]   NA        NA         NA          NA         NA         NA         NA
#> [100,]   NA        NA         NA          NA         NA         NA         NA
#>              [,8]       [,9]       [,10]      [,11]       [,12]      [,13]
#>   [1,]         NA         NA          NA         NA          NA         NA
#>   [2,]         NA         NA          NA         NA          NA         NA
#>   [3,]         NA         NA          NA         NA          NA         NA
#>   [4,]         NA         NA          NA         NA          NA         NA
#>   [5,]         NA         NA          NA         NA          NA         NA
#>   [6,]         NA         NA          NA         NA          NA         NA
#>   [7,]         NA         NA          NA         NA          NA         NA
#>   [8,]         NA         NA          NA         NA          NA         NA
#>   [9,]         NA         NA          NA         NA          NA         NA
#>  [10,]         NA         NA          NA         NA          NA         NA
#>  [11,]         NA         NA          NA         NA          NA         NA
#>  [12,]         NA         NA          NA         NA          NA         NA
#>  [13,]         NA         NA          NA         NA          NA         NA
#>  [14,]         NA         NA          NA         NA          NA         NA
#>  [15,]         NA         NA          NA         NA          NA         NA
#>  [16,]         NA         NA          NA         NA          NA         NA
#>  [17,]         NA         NA          NA         NA          NA         NA
#>  [18,]         NA         NA          NA         NA          NA         NA
#>  [19,]         NA         NA          NA         NA          NA 0.32380098
#>  [20,]         NA         NA          NA         NA 0.320382230 0.23991002
#>  [21,]         NA         NA          NA 0.31542230 0.238643957 0.16195267
#>  [22,]         NA         NA          NA 0.23565430 0.162294032 0.09063368
#>  [23,]         NA         NA 0.230845844 0.16088985 0.092205397 0.02648689
#>  [24,]         NA 0.22468745 0.157782060 0.09213146 0.029053826 0.00000000
#>  [25,]         NA 0.15353944 0.090560969 0.03015469 0.000000000 0.00000000
#>  [26,] 0.14931550 0.08813374 0.030015093 0.00000000 0.000000000 0.00000000
#>  [27,] 0.08604700 0.02932044 0.000000000 0.00000000 0.000000000 0.00000000
#>  [28,] 0.02929446 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [29,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [30,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [31,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [32,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [33,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [34,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [35,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [36,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [37,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [38,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [39,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [40,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [41,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [42,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [43,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [44,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [45,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [46,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [47,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#>  [48,] 0.04894959 0.02474711 0.002356281 0.00000000 0.000000000 0.00000000
#>  [49,] 0.11125378 0.08464207 0.059378221 0.03382719 0.007345051 0.00000000
#>  [50,] 0.18511312 0.15620177 0.128014925 0.09893503 0.068418300 0.03686321
#>  [51,] 0.27154748 0.24055659 0.209483325 0.17671397 0.141806758 0.10535379
#>  [52,] 0.37135816 0.33862795 0.304807030 0.26826539 0.228659361 0.18678934
#>  [53,] 0.48506074 0.45105925 0.414747572 0.37445170 0.329914272 0.28215170
#>  [54,] 0.61282765 0.57815511 0.539742304 0.49583523 0.446241317 0.39219103
#>  [55,] 0.75444539 0.71983373 0.679853529 0.63262630 0.577991606 0.51737970
#>  [56,] 0.90929087 0.87559705 0.834733356 0.78464457 0.725157849 0.65787460
#>  [57,] 1.07633020 1.04452240 1.003608226 0.95129751 0.887348727 0.81349018
#>  [58,] 1.25414162 1.22527800 1.185285908 1.13157878 1.063780003 0.98368463
#>  [59,] 1.44096211 1.41616285 1.378186125 1.32408842 1.253284183 1.16756051
#>  [60,] 1.63475460 1.61516886 1.580393897 1.52707451 1.454339225 1.36388064
#>  [61,] 1.83329007 1.82006078 1.789732308 1.73849449 1.665115290 1.57109892
#>  [62,] 2.03423660 2.02846693 2.003849070 1.95609192 1.883536939 1.78740468
#>  [63,] 2.23524571 2.23797167 2.220309134 2.17748256 2.107356518 2.01077828
#>  [64,] 2.43402566 2.44619954 2.436684149 2.40024230 2.334233125 2.23905437
#>  [65,] 2.62839228 2.65088097 2.650628929 2.62198805 2.561810397 2.46998871
#>  [66,] 2.81629009 2.84989074 2.859935648 2.84044297 2.787785751 2.70132314
#>  [67,] 2.99578006 3.04125334 3.062558223 3.05347790 3.009963643 2.93084327
#>  [68,] 3.16499559 3.22311327 3.256602369 3.25912271 3.226286008 3.15642230
#>  [69,] 3.32207324 3.39367364 3.440280951 3.45554426 3.434834494 3.37604526
#>  [70,] 3.46507093 3.55111166 3.611839185 3.64099126 3.633801360 3.58780775
#>  [71,] 3.59189021 3.69348530 3.769459558 3.81371111 3.821429167 3.78988545
#>  [72,] 3.70022240 3.81864924 3.911161389 3.97184868 3.995923613 3.98047279
#>  [73,] 3.78753791 3.92420080 4.034714000 4.11334203 4.155348827 4.15769386
#>  [74,] 3.85113523 4.00747594 4.137584739 4.23583433 4.297519850 4.31949362
#>  [75,] 3.88825855 4.06561184 4.216942546 4.33662398 4.419912086 4.46352431
#>  [76,]         NA 4.09568461 4.269733935 4.41267468 4.519611157 4.58704844
#>  [77,]         NA 4.09492043 4.292840422 4.46070389 4.593327520 4.68688488
#>  [78,]         NA         NA 4.283315017 4.47735983 4.637496915 4.75942672
#>  [79,]         NA         NA          NA 4.45948505 4.648479248 4.80075613
#>  [80,]         NA         NA          NA 4.40444850 4.622854465 4.80687188
#>  [81,]         NA         NA          NA         NA 4.557795516 4.77402796
#>  [82,]         NA         NA          NA         NA          NA 4.69915969
#>  [83,]         NA         NA          NA         NA          NA         NA
#>  [84,]         NA         NA          NA         NA          NA         NA
#>  [85,]         NA         NA          NA         NA          NA         NA
#>  [86,]         NA         NA          NA         NA          NA         NA
#>  [87,]         NA         NA          NA         NA          NA         NA
#>  [88,]         NA         NA          NA         NA          NA         NA
#>  [89,]         NA         NA          NA         NA          NA         NA
#>  [90,]         NA         NA          NA         NA          NA         NA
#>  [91,]         NA         NA          NA         NA          NA         NA
#>  [92,]         NA         NA          NA         NA          NA         NA
#>  [93,]         NA         NA          NA         NA          NA         NA
#>  [94,]         NA         NA          NA         NA          NA         NA
#>  [95,]         NA         NA          NA         NA          NA         NA
#>  [96,]         NA         NA          NA         NA          NA         NA
#>  [97,]         NA         NA          NA         NA          NA         NA
#>  [98,]         NA         NA          NA         NA          NA         NA
#>  [99,]         NA         NA          NA         NA          NA         NA
#> [100,]         NA         NA          NA         NA          NA         NA
#>              [,14]      [,15]       [,16]       [,17]       [,18]       [,19]
#>   [1,]          NA         NA          NA          NA          NA          NA
#>   [2,]          NA         NA          NA          NA          NA          NA
#>   [3,]          NA         NA          NA          NA          NA          NA
#>   [4,]          NA         NA          NA          NA          NA          NA
#>   [5,]          NA         NA          NA          NA          NA          NA
#>   [6,]          NA         NA          NA          NA          NA          NA
#>   [7,]          NA         NA          NA          NA          NA          NA
#>   [8,]          NA         NA          NA          NA          NA          NA
#>   [9,]          NA         NA          NA          NA          NA          NA
#>  [10,]          NA         NA          NA          NA          NA          NA
#>  [11,]          NA         NA          NA          NA          NA          NA
#>  [12,]          NA         NA          NA          NA          NA          NA
#>  [13,]          NA         NA          NA          NA          NA 0.380132962
#>  [14,]          NA         NA          NA          NA 0.358030388 0.269046653
#>  [15,]          NA         NA          NA 0.343512322 0.253954657 0.170275858
#>  [16,]          NA         NA 0.334655490 0.245319742 0.160950020 0.083652622
#>  [17,]          NA 0.32956126 0.241275722 0.156938855 0.078855193 0.008609556
#>  [18,] 0.326457291 0.24004979 0.156516105 0.078308258 0.007218331 0.000000000
#>  [19,] 0.240042691 0.15809422 0.080478735 0.009151925 0.000000000 0.000000000
#>  [20,] 0.160283403 0.08399519 0.013096151 0.000000000 0.000000000 0.000000000
#>  [21,] 0.087688015 0.01790226 0.000000000 0.000000000 0.000000000 0.000000000
#>  [22,] 0.022611586 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [23,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [24,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [25,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [26,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [27,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [28,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [29,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [30,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [31,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [32,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [33,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [34,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [35,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [36,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [37,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [38,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [39,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [40,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [41,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [42,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [43,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [44,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [45,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [46,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [47,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [48,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [49,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [50,] 0.005391268 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [51,] 0.068741458 0.03385485 0.002770218 0.000000000 0.000000000 0.000000000
#>  [52,] 0.144339204 0.10354739 0.066859855 0.036608915 0.014750337 0.002677234
#>  [53,] 0.233172846 0.18561373 0.142345645 0.106107643 0.079202430 0.063278847
#>  [54,] 0.336037287 0.28085204 0.229984628 0.186641459 0.153533438 0.132620474
#>  [55,] 0.453495011 0.38987415 0.330391016 0.278777524 0.238215646 0.211036892
#>  [56,] 0.585843382 0.51308105 0.444022502 0.382977694 0.333661570 0.298841463
#>  [57,] 0.733089827 0.65064362 0.571170083 0.499600347 0.440240170 0.396358342
#>  [58,] 0.894936173 0.80248892 0.711950131 0.628901890 0.558290867 0.503951280
#>  [59,] 1.070773000 0.96829181 0.866297259 0.771034936 0.688130700 0.622042706
#>  [60,] 1.259684409 1.14747155 1.033956595 0.926040400 0.830050282 0.751117067
#>  [61,] 1.460463193 1.33919326 1.214474641 1.093831664 0.984295405 0.891703735
#>  [62,] 1.671635978 1.54237420 1.407188756 1.274170415 1.151033081 1.044337257
#>  [63,] 1.891497538 1.75569544 1.611216512 1.466635739 1.330303502 1.209495920
#>  [64,] 2.118153086 1.97761953 1.825447348 1.670590104 1.521962322 1.387523420
#>  [65,] 2.349566867 2.20641534 2.048539945 1.885147749 1.725620450 1.578542011
#>  [66,] 2.583614682 2.44019067 2.278929096 2.109152133 1.940590508 1.782368431
#>  [67,] 2.818137117 2.67693240 2.514845316 2.341169097 2.165849878 1.998445338
#>  [68,] 3.050989082 2.91455271 2.754348801 2.579500966 2.400029136 2.225800501
#>  [69,] 3.280080059 3.15093733 2.995376580 2.822223731 2.641431678 2.463043182
#>  [70,] 3.503398446 3.38398948 3.235798008 3.067244998 2.888085348 2.708401976
#>  [71,] 3.719012928 3.61166103 3.473469802 3.312374953 3.137820466 2.959801319
#>  [72,] 3.925044613 3.83196054 3.706278226 3.555397203 3.388361622 3.214965640
#>  [73,] 4.119606150 4.04292882 3.932154217 3.794122104 3.637414290 3.471532055
#>  [74,] 4.300708716 4.24257530 4.149047989 4.026403581 3.882723251 3.727146190
#>  [75,] 4.466144587 4.42877462 4.354854272 4.250102834 4.122079690 3.979513064
#>  [76,] 4.613361460 4.59913228 4.547287994 4.462989588 4.353259016 4.226377637
#>  [77,] 4.739353476 4.75083905 4.723722620 4.662583880 4.573882654 4.465418921
#>  [78,] 4.840600915 4.88054555 4.881017846 4.845957675 4.781213827 4.694057573
#>  [79,] 4.913093276 4.98429646 5.015377080 5.009533328 4.971917654 4.909198368
#>  [80,] 4.952466391 5.05756716 5.122284368 5.148931133 5.141836030 5.106952587
#>  [81,] 4.954271515 5.09543812 5.196571005 5.258926293 5.285842795 5.282406291
#>  [82,] 4.914372979 5.09292565 5.232650774 5.333571795 5.397848929 5.429512524
#>  [83,] 4.829443274 5.04545951 5.224938240 5.366524997 5.471016356 5.541182770
#>  [84,]          NA 4.94946370 5.168428860 5.351582042 5.498210196 5.609631319
#>  [85,]          NA         NA 5.059378717 5.283379702 5.472674968 5.626985385
#>  [86,]          NA         NA          NA 5.158177557 5.388867428 5.586118734
#>  [87,]          NA         NA          NA          NA 5.243329081 5.481607867
#>  [88,]          NA         NA          NA          NA          NA 5.310662210
#>  [89,]          NA         NA          NA          NA          NA          NA
#>  [90,]          NA         NA          NA          NA          NA          NA
#>  [91,]          NA         NA          NA          NA          NA          NA
#>  [92,]          NA         NA          NA          NA          NA          NA
#>  [93,]          NA         NA          NA          NA          NA          NA
#>  [94,]          NA         NA          NA          NA          NA          NA
#>  [95,]          NA         NA          NA          NA          NA          NA
#>  [96,]          NA         NA          NA          NA          NA          NA
#>  [97,]          NA         NA          NA          NA          NA          NA
#>  [98,]          NA         NA          NA          NA          NA          NA
#>  [99,]          NA         NA          NA          NA          NA          NA
#> [100,]          NA         NA          NA          NA          NA          NA
#>              [,20]      [,21]      [,22]      [,23]      [,24]      [,25]
#>   [1,]          NA         NA         NA         NA         NA         NA
#>   [2,]          NA         NA         NA         NA         NA         NA
#>   [3,]          NA         NA         NA         NA         NA         NA
#>   [4,]          NA         NA         NA         NA         NA         NA
#>   [5,]          NA         NA         NA         NA         NA         NA
#>   [6,]          NA         NA         NA         NA         NA         NA
#>   [7,]          NA         NA         NA         NA         NA         NA
#>   [8,]          NA         NA         NA         NA         NA         NA
#>   [9,]          NA         NA         NA         NA 0.50340206 0.43696953
#>  [10,]          NA         NA         NA 0.43019483 0.35927953 0.29766770
#>  [11,]          NA 0.45432868 0.37147774 0.29679899 0.23131830 0.17541605
#>  [12,] 0.411670357 0.32606057 0.24824967 0.17944939 0.12018868 0.07044013
#>  [13,] 0.292476242 0.21211852 0.14048063 0.07826671 0.02558111 0.00000000
#>  [14,] 0.186722889 0.11270630 0.04790136 0.00000000 0.00000000 0.00000000
#>  [15,] 0.094356598 0.02732177 0.00000000 0.00000000 0.00000000 0.00000000
#>  [16,] 0.014783826 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [17,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [18,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [19,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [20,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [21,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [22,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [23,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [24,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [25,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [26,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [27,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [28,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [29,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [30,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [31,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [32,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [33,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [34,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [35,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [36,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [37,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [38,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [39,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [40,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [41,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [42,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [43,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [44,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [45,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [46,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [47,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [48,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [49,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [50,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.01890096
#>  [51,] 0.000000000 0.00000000 0.00000000 0.00368940 0.03573542 0.07229970
#>  [52,] 0.001116042 0.01009886 0.02899902 0.05661310 0.09127194 0.13096539
#>  [53,] 0.059208889 0.06705413 0.08610738 0.11499042 0.15178765 0.19419697
#>  [54,] 0.124964371 0.13068619 0.14901296 0.17839234 0.21665144 0.26117780
#>  [55,] 0.198545262 0.20096151 0.21747301 0.24636540 0.28520858 0.33107085
#>  [56,] 0.280123653 0.27787954 0.29129564 0.31852109 0.35688161 0.40312899
#>  [57,] 0.369929906 0.36153831 0.37042119 0.39463127 0.43127768 0.47681157
#>  [58,] 0.468297582 0.45219578 0.45499931 0.47471940 0.50829137 0.55189583
#>  [59,] 0.575696440 0.55031764 0.54545133 0.55913604 0.58819104 0.62857087
#>  [60,] 0.692745784 0.65660222 0.64250710 0.64860685 0.67167614 0.70750164
#>  [61,] 0.820201939 0.77197488 0.74720742 0.74424320 0.75989498 0.78985189
#>  [62,] 0.958916361 0.89754696 0.86086607 0.84750832 0.85441515 0.87725821
#>  [63,] 1.109764697 1.03453891 0.98498999 0.96013685 0.95714394 0.97175203
#>  [64,] 1.273551530 1.18417204 1.12116171 1.08401130 1.07020165 1.07563199
#>  [65,] 1.450900028 1.34753848 1.27089382 1.22100512 1.19575716 1.19129571
#>  [66,] 1.642139385 1.52546341 1.43547010 1.37280735 1.33584082 1.32104546
#>  [67,] 1.847205221 1.71837675 1.61579199 1.54074826 1.49215430 1.46688755
#>  [68,] 2.065568203 1.92621184 1.81224984 1.72564699 1.66589922 1.63034701
#>  [69,] 2.296203701 2.14834722 2.02463758 1.92770147 1.85764598 1.81231995
#>  [70,] 2.537610280 2.38360231 2.25212431 2.14643656 2.06726067 2.01298228
#>  [71,] 2.787877351 2.63029070 2.49328962 2.38071990 2.29390136 2.23176801
#>  [72,] 3.044793313 2.88632499 2.74621956 2.62884492 2.53608614 2.46742136
#>  [73,] 3.305976106 3.14935703 3.00864928 2.88867009 2.79182436 2.71811703
#>  [74,] 3.568999862 3.41692771 3.27812798 3.15779162 3.05879091 2.98163103
#>  [75,] 3.831486336 3.68659317 3.55217277 3.43371757 3.33451326 3.25553403
#>  [76,] 4.091129853 3.95599210 3.82837384 3.71400441 3.61653250 3.53737011
#>  [77,] 4.345631386 4.22282310 4.10441439 3.99631647 3.90249732 3.82477920
#>  [78,] 4.592531717 4.48471271 4.37797878 4.27837559 4.19015354 4.11552313
#>  [79,] 4.828954985 4.73897531 4.64654002 4.55778318 4.47720450 4.40738491
#>  [80,] 5.051299508 4.98229197 4.90704323 4.83172162 4.76103949 4.69793009
#>  [81,] 5.254938282 5.21036380 5.15553197 5.09657128 5.03835638 4.98414627
#>  [82,] 5.434010544 5.41762021 5.38679294 5.34751164 5.30473760 5.26201003
#>  [83,] 5.581391605 5.59707610 5.59411518 5.57820057 5.55426858 5.52606288
#>  [84,] 5.688914895 5.74042757 5.76926424 5.78063807 5.77930643 5.76910223
#>  [85,] 5.747885431 5.83844902 5.90275361 5.94531181 5.97050645 5.98210060
#>  [86,] 5.749870219 5.88170510 5.98445303 6.06168700 6.11718783 6.15444895
#>  [87,] 5.687687183 5.86152558 6.00451012 6.11904447 6.20806777 6.27457567
#>  [88,] 5.556454431 5.77112319 5.95448842 6.10759668 6.23232116 6.33092434
#>  [89,] 5.354522930 5.60668029 5.82855966 6.01973757 6.18084401 6.31319369
#>  [90,]          NA 5.36820876 5.62454880 5.85122821 6.04753396 6.21366933
#>  [91,]          NA         NA         NA 5.60210510 5.83036885 6.02843075
#>  [92,]          NA         NA         NA         NA 5.53208066 5.75821631
#>  [93,]          NA         NA         NA         NA         NA         NA
#>  [94,]          NA         NA         NA         NA         NA         NA
#>  [95,]          NA         NA         NA         NA         NA         NA
#>  [96,]          NA         NA         NA         NA         NA         NA
#>  [97,]          NA         NA         NA         NA         NA         NA
#>  [98,]          NA         NA         NA         NA         NA         NA
#>  [99,]          NA         NA         NA         NA         NA         NA
#> [100,]          NA         NA         NA         NA         NA         NA
#>              [,26]      [,27]      [,28]      [,29]      [,30]      [,31]
#>   [1,]          NA         NA         NA         NA         NA         NA
#>   [2,]          NA         NA         NA         NA         NA         NA
#>   [3,]          NA         NA         NA         NA         NA         NA
#>   [4,]          NA         NA         NA         NA         NA         NA
#>   [5,]          NA         NA         NA         NA         NA         NA
#>   [6,]          NA         NA         NA 0.73126462 0.70256928 0.68278454
#>   [7,]          NA 0.64154485 0.59610039 0.56002218 0.53293752 0.51420397
#>   [8,] 0.530849646 0.47910017 0.43678715 0.40357619 0.37884521 0.36179573
#>   [9,] 0.379886173 0.33231011 0.29395744 0.26423368 0.24235162 0.22742764
#>  [10,] 0.245616872 0.20290882 0.16898629 0.14307809 0.12430275 0.11174702
#>  [11,] 0.128958293 0.09143792 0.06210703 0.04008902 0.02446488 0.01433329
#>  [12,] 0.029763466 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [13,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [14,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [15,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [16,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [17,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [18,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [19,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [20,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [21,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [22,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [23,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [24,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [25,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [26,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [27,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [28,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [29,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [30,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [31,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [32,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [33,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [34,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [35,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [36,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [37,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [38,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [39,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [40,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [41,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [42,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [43,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [44,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [45,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [46,] 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [47,] 0.000000000 0.00000000 0.00000000 0.00000000 0.01215971 0.02797255
#>  [48,] 0.000000000 0.00000000 0.01507292 0.04096357 0.06337997 0.08119157
#>  [49,] 0.003200525 0.03570579 0.06720702 0.09615507 0.12110629 0.14078560
#>  [50,] 0.054462923 0.09059887 0.12550402 0.15743109 0.18476268 0.20608113
#>  [51,] 0.111440959 0.15112061 0.18929629 0.22400867 0.25346250 0.27610253
#>  [52,] 0.173468907 0.21646425 0.25765044 0.29484411 0.32607004 0.34964259
#>  [53,] 0.239683161 0.28562347 0.32943951 0.36871354 0.40128941 0.42535895
#>  [54,] 0.309103932 0.35748191 0.40343988 0.44431668 0.47777427 0.50188883
#>  [55,] 0.380738440 0.43092312 0.47844663 0.52039626 0.55425001 0.57797250
#>  [56,] 0.453698578 0.50495328 0.55339916 0.59586440 0.62963893 0.65257556
#>  [57,] 0.527323648 0.57882712 0.62750720 0.66992604 0.70317859 0.72500017
#>  [58,] 0.601296900 0.65216584 0.70036664 0.74218924 0.77452386 0.79497669
#>  [59,] 0.675743535 0.72505530 0.77205395 0.81275243 0.84382403 0.86272847
#>  [60,] 0.751297915 0.79811277 0.84318890 0.88225970 0.91176786 0.92900476
#>  [61,] 0.829129201 0.87251231 0.91495656 0.95191666 0.97959110 0.99507820
#>  [62,] 0.910917637 0.94996144 0.98908247 1.02346216 1.04904321 1.06270570
#>  [63,] 0.998778182 1.03262613 1.06775832 1.09909409 1.12231273 1.13405314
#>  [64,] 1.095133716 1.12300606 1.15352019 1.18135133 1.20191366 1.21158678
#>  [65,] 1.202546129 1.22376787 1.24908652 1.27295848 1.29053863 1.29793648
#>  [66,] 1.323519402 1.33754973 1.35716774 1.37664383 1.39088807 1.39573821
#>  [67,] 1.460293494 1.46675479 1.48026393 1.49494526 1.50548777 1.50746607
#>  [68,] 1.614650642 1.61335426 1.62046963 1.63002130 1.63650978 1.63526597
#>  [69,] 1.787756031 1.77872144 1.77930598 1.78348548 1.78561282 1.78080479
#>  [70,] 1.980052268 1.96351601 1.95759877 1.95628194 1.95381826 1.94514926
#>  [71,] 2.191221801 2.16763333 2.15541746 2.14861669 2.14143590 2.12868768
#>  [72,] 2.420223556 2.39022645 2.37208392 2.35995426 2.34804962 2.33110530
#>  [73,] 2.665400255 2.62979963 2.60625154 2.58908240 2.57256738 2.55141926
#>  [74,] 2.924641906 2.88436148 2.85604601 2.83423868 2.81333230 2.78807284
#>  [75,] 3.195579999 3.15161550 3.11924841 3.09328327 3.06828262 3.03908048
#>  [76,] 3.475777489 3.42915561 3.39349162 3.36389211 3.33513838 3.30220524
#>  [77,] 3.762873558 3.71462744 3.67643276 3.64373613 3.61158377 3.57514115
#>  [78,] 4.054641622 4.00581330 3.96586046 3.93060654 3.89540663 3.85566419
#>  [79,] 4.348926091 4.30060372 4.25969789 4.22244597 4.18455505 4.14171186
#>  [80,] 4.643439547 4.59683130 4.55587260 4.51725321 4.47707549 4.43135367
#>  [81,] 4.935427264 4.89196538 4.85204458 4.81284622 4.77091164 4.72262649
#>  [82,] 5.221238020 5.18269682 5.14521228 5.10649460 5.06356716 5.01323039
#>  [83,] 5.495874182 5.46447629 5.43125048 5.39446602 5.35166757 5.30011172
#>  [84,] 5.752622386 5.73110089 5.70446717 5.67156539 5.63049160 5.57899451
#>  [85,] 5.982879965 5.97446326 5.95729032 5.93077284 5.89357207 5.84395433
#>  [86,] 6.176283349 6.18457588 6.18020055 6.16309741 6.13248246 6.08714807
#>  [87,] 6.321208246 6.34995493 6.36200512 6.35774984 6.33691786 6.29881217
#>  [88,] 6.405649017 6.45839230 6.49049983 6.50269599 6.49514415 6.46761283
#>  [89,] 6.418405714 6.49806852 6.55349406 6.58558617 6.59482829 6.58137685
#>  [90,] 6.350428586 6.45887830 6.54009261 6.59497551 6.62418505 6.62815670
#>  [91,] 6.196112448 6.33377440 6.44205671 6.52167555 6.57329861 6.59750665
#>  [92,] 5.954316748 6.11990605 6.25502565 6.36002791 6.43542172 6.48178570
#>  [93,] 5.628922255 5.81934749 5.97938647 6.10888459 6.20803852 6.27727834
#>  [94,]          NA 5.43928298 5.62063611 5.77212387 5.89350997 5.98494632
#>  [95,]          NA         NA         NA 5.35861801 5.49919748 5.61069121
#>  [96,]          NA         NA         NA         NA         NA         NA
#>  [97,]          NA         NA         NA         NA         NA         NA
#>  [98,]          NA         NA         NA         NA         NA         NA
#>  [99,]          NA         NA         NA         NA         NA         NA
#> [100,]          NA         NA         NA         NA         NA         NA
#>              [,32]       [,33]       [,34]      [,35]      [,36]       [,37]
#>   [1,]          NA          NA          NA         NA         NA          NA
#>   [2,]          NA          NA          NA         NA         NA          NA
#>   [3,]          NA          NA          NA         NA         NA 1.328681161
#>   [4,]          NA          NA 1.050781844 1.06511371 1.08591356 1.112291750
#>   [5,] 0.853274945 0.850298932 0.854700023 0.86559211 0.88208146 0.903312165
#>   [6,] 0.671253139 0.667162455 0.669626596 0.67774855 0.69066443 0.707573362
#>   [7,] 0.503014867 0.498484862 0.499713798 0.50583104 0.51602385 0.529554472
#>   [8,] 0.351543086 0.347183623 0.347840490 0.35269179 0.36098588 0.372048749
#>   [9,] 0.218553766 0.214846553 0.215476422 0.21968239 0.22677739 0.236148891
#>  [10,] 0.104519480 0.101782711 0.102768838 0.10678389 0.11320598 0.121481646
#>  [11,] 0.008847197 0.007231796 0.008789239 0.01289545 0.01899364 0.026588049
#>  [12,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [13,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [14,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [15,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [16,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [17,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [18,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [19,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [20,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [21,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [22,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [23,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [24,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [25,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [26,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [27,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [28,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [29,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [30,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [31,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [32,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [33,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [34,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [35,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [36,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [37,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [38,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [39,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [40,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [41,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [42,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [43,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [44,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [45,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [46,] 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
#>  [47,] 0.038954622 0.044514398 0.044311197 0.03827503 0.02661071 0.009784062
#>  [48,] 0.093467823 0.099526654 0.098973521 0.09172622 0.07802115 0.058398177
#>  [49,] 0.154147108 0.160428714 0.159196228 0.15037127 0.13423796 0.111425064
#>  [50,] 0.220234431 0.226395194 0.224107394 0.21331505 0.19436723 0.167995898
#>  [51,] 0.290683352 0.296330169 0.292585484 0.27943576 0.25731241 0.227063520
#>  [52,] 0.364237650 0.368952595 0.363349829 0.34747841 0.32186842 0.287494853
#>  [53,] 0.439534290 0.442904256 0.435071654 0.41616671 0.38683223 0.348177780
#>  [54,] 0.515221782 0.516870195 0.506494756 0.48432206 0.45111802 0.408130663
#>  [55,] 0.590083525 0.589700377 0.576553950 0.55097723 0.51386472 0.466602313
#>  [56,] 0.663155590 0.660521682 0.644480153 0.61547365 0.57452477 0.523151839
#>  [57,] 0.733829350 0.728830860 0.709883105 0.67753374 0.63292629 0.577701035
#>  [58,] 0.801931191 0.794561645 0.772805854 0.73730332 0.68930446 0.630556205
#>  [59,] 0.867773788 0.858122080 0.833748592 0.79536320 0.74430260 0.682400747
#>  [60,] 0.932175743 0.920400861 0.893662564 0.85271224 0.79894657 0.734263551
#>  [61,] 0.996448443 0.982743733 0.953917057 0.91072675 0.85459897 0.787470599
#>  [62,] 1.062350700 1.046902379 1.016243715 0.97110198 0.91289998 0.843587563
#>  [63,] 1.132013083 1.114959044 1.082662563 1.03578105 0.97570097 0.904359930
#>  [64,] 1.207835118 1.189230387 1.155393551 1.10687533 1.04499481 0.971654407
#>  [65,] 1.292359749 1.272154295 1.236756590 1.18657838 1.12284426 1.047402048
#>  [66,] 1.388130976 1.366163816 1.329062509 1.27707420 1.21130749 1.133540519
#>  [67,] 1.497542273 1.473553270 1.434497432 1.38043989 1.31235829 1.231951021
#>  [68,] 1.622685203 1.596343013 1.555004118 1.49854319 1.42779911 1.344385326
#>  [69,] 1.765209266 1.736151029 1.692165529 1.63293761 1.55916653 1.472380319
#>  [70,] 1.926205102 1.894081228 1.847098230 1.78476026 1.70763255 1.617161222
#>  [71,] 2.106123240 2.070639461 2.020365349 1.95464101 1.87390879 1.779539678
#>  [72,] 2.304739279 2.265688283 2.211920280 2.14263416 2.05816502 1.959818020
#>  [73,] 2.521173255 2.478449876 2.421092075 2.34818510 2.25997598 2.157715150
#>  [74,] 2.753965749 2.707562601 2.646621022 2.57014352 2.47831072 2.372331043
#>  [75,] 3.001205937 2.951190323 2.886747470 2.80683003 2.71157571 2.602164820
#>  [76,] 3.260697583 3.207174768 3.139348674 3.05615575 2.95771533 2.845194812
#>  [77,] 3.530138850 3.473210790 3.402107651 3.31578304 3.21436289 3.099018102
#>  [78,] 3.807282469 3.747013870 3.672686530 3.58330327 3.47902145 3.361032825
#>  [79,] 4.090036656 4.026441194 3.948866928 3.85639585 3.74924059 3.628631613
#>  [80,] 4.376467199 4.309525145 4.228614998 4.13292511 4.02274533 3.899362426
#>  [81,] 4.664670051 4.594384265 4.510032194 4.41093244 4.29747135 4.171008005
#>  [82,] 4.952503107 4.878993573 4.791167052 4.68849275 4.57146925 4.441541031
#>  [83,] 5.237194938 5.160823524 5.069688870 4.96342757 4.84266194 4.708930798
#>  [84,] 5.514883296 5.436391604 5.342458283 5.23290060 5.10847158 4.970807985
#>  [85,] 5.780170166 5.700805982 5.605066330 5.49295897 5.36537012 5.224032220
#>  [86,] 6.025803849 5.947407632 5.851443645 5.73811635 5.60844323 5.464244338
#>  [87,] 6.242602476 6.167626237 6.073654887 5.96109149 5.83107888 5.685511309
#>  [88,] 6.419710835 6.351148362 6.261982355 6.15281087 6.02489216 5.880176978
#>  [89,] 6.545232399 6.486451915 6.405363660 6.30274976 6.17996983 6.039010023
#>  [90,] 6.607207721 6.561693974 6.492185571 6.39962850 6.28546479 6.151692471
#>  [91,] 6.594833255 6.565863107 6.511361790 6.43240796 6.33050136 6.207626216
#>  [92,] 6.499750655 6.490040800 6.453554325 6.39145957 6.30528271 6.196966435
#>  [93,] 6.317204643 6.328578862 6.312355432 6.26973835 6.20224205 6.111737715
#>  [94,] 6.046880214 6.080004027 6.085244018 6.06377735 6.01706243 5.946866572
#>  [95,] 5.693287342 5.747509389 5.774170302 5.77435383 5.74941388 5.700979744
#>  [96,] 5.265649442 5.338972978 5.385695598 5.40674265 5.40331407 5.376866372
#>  [97,]          NA          NA 4.930698561 4.97055130 4.98709087 4.981567724
#>  [98,]          NA          NA          NA         NA         NA 4.526118440
#>  [99,]          NA          NA          NA         NA         NA          NA
#> [100,]          NA          NA          NA         NA         NA          NA
#>             [,38]       [,39]      [,40]      [,41]       [,42]      [,43]
#>   [1,]         NA          NA         NA         NA          NA         NA
#>   [2,]         NA          NA         NA 1.75380466 1.816164526 1.88161976
#>   [3,] 1.36633221 1.408743048 1.45516968 1.50498861 1.557721852 1.61305755
#>   [4,] 1.14340215 1.178477842 1.21685828 1.25801081 1.301548956 1.34724875
#>   [5,] 0.92849853 0.956948376 0.98808072 1.02144084 1.056714609 1.09374280
#>   [6,] 0.72775731 0.750594935 0.77557295 0.80229743 0.830506348 0.86008337
#>   [7,] 0.54577045 0.564112173 0.58412051 0.60544643 0.627863049 0.65127984
#>   [8,] 0.38528787 0.400195943 0.41635677 0.43345440 0.451285456 0.46977390
#>   [9,] 0.24725874 0.259644959 0.27292704 0.28681518 0.301123062 0.31578292
#>  [10,] 0.13112348 0.141711051 0.15289617 0.16441235 0.176087741 0.18786019
#>  [11,] 0.03524051 0.044571071 0.05426326 0.06407352 0.073843966 0.08351701
#>  [12,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [13,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [14,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [15,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [16,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [17,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [18,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [19,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [20,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [21,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [22,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [23,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [24,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [25,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [26,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [27,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [28,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [29,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [30,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [31,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [32,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [33,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [34,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [35,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [36,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [37,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [38,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [39,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [40,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [41,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [42,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [43,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [44,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [45,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [46,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [47,] 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#>  [48,] 0.03366392 0.004835747 0.00000000 0.00000000 0.000000000 0.00000000
#>  [49,] 0.08286313 0.049719522 0.01331730 0.00000000 0.000000000 0.00000000
#>  [50,] 0.13526595 0.097500870 0.05619059 0.01289097 0.000000000 0.00000000
#>  [51,] 0.18989596 0.147291485 0.10090415 0.05244929 0.003595221 0.00000000
#>  [52,] 0.24571081 0.198154212 0.14663565 0.09301833 0.039101830 0.00000000
#>  [53,] 0.30170329 0.249196521 0.19261254 0.13394638 0.075110937 0.01783179
#>  [54,] 0.35700341 0.299663678 0.23819528 0.17470561 0.111200051 0.04947473
#>  [55,] 0.41096972 0.349020620 0.28294917 0.21495377 0.147109989 0.08126363
#>  [56,] 0.46325999 0.397013317 0.32669668 0.25457769 0.182780245 0.11317977
#>  [57,] 0.51387448 0.443703858 0.36954513 0.29371466 0.218364879 0.14538337
#>  [58,] 0.56316977 0.489477783 0.41188918 0.33275143 0.254229430 0.17820947
#>  [59,] 0.61184512 0.535026603 0.45439154 0.37230490 0.290932952 0.21215243
#>  [60,] 0.66090756 0.581312034 0.49794865 0.41319125 0.329201990 0.24784564
#>  [61,] 0.71162358 0.629520446 0.54365013 0.45639195 0.369904462 0.28604390
#>  [62,] 0.76546593 0.681015990 0.59274003 0.50302460 0.414030684 0.32761487
#>  [63,] 0.82406203 0.737298831 0.64658603 0.55432374 0.462686053 0.37354317
#>  [64,] 0.88914737 0.799971289 0.70665871 0.61163309 0.517095789 0.42494686
#>  [65,] 0.96252349 0.870710385 0.77451812 0.67640557 0.578617280 0.48310072
#>  [66,] 1.04601626 0.951241267 0.85180126 0.75020329 0.648751128 0.54945683
#>  [67,] 1.14142819 1.043303341 0.94020031 0.83468637 0.729138979 0.62564974
#>  [68,] 1.25047790 1.148600420 1.04142180 0.93157936 0.821535536 0.71347284
#>  [69,] 1.37472200 1.268728271 1.15711815 1.04260538 0.927744349 0.81481491
#>  [70,] 1.51545882 1.405077427 1.28878837 1.16938395 1.049512110 0.93155090
#>  [71,] 1.67361916 1.558715566 1.43765146 1.31329500 1.188383727 1.06538865
#>  [72,] 1.84965536 1.730260839 1.60450376 1.47532074 1.345529396 1.21768270
#>  [73,] 2.04344551 1.919763983 1.78957914 1.65588461 1.521563683 1.38923529
#>  [74,] 2.25423224 2.126621127 1.99243600 1.85471306 1.716383496 1.58011235
#>  [75,] 2.48061488 2.349539311 2.21189595 2.07074795 1.929054880 1.78950615
#>  [76,] 2.72060764 2.586571768 2.44605542 2.30213390 2.157776254 2.01567479
#>  [77,] 2.97176606 2.835229596 2.69238100 2.54629593 2.399937034 2.25598090
#>  [78,] 3.23136899 3.092661377 2.94788439 2.80010734 2.652275978 2.50703792
#>  [79,] 3.49662716 3.355874846 3.20935459 3.06012921 2.911124445 2.76495331
#>  [80,] 3.76487518 3.621958519 3.47360679 3.32288343 3.172699531 3.02563710
#>  [81,] 4.03369589 3.888250747 3.73769488 3.58510616 3.433394972 3.28512564
#>  [82,] 4.30092895 4.152403412 3.99903084 3.84392238 3.690008774 3.53985896
#>  [83,] 4.56453143 4.412300541 4.25536459 4.09688882 3.939849778 3.78685002
#>  [84,] 4.82228714 4.665818719 4.50460137 4.34187333 4.180682915 4.02369815
#>  [85,] 5.07139924 4.910453044 4.74446938 4.57677234 4.410503479 4.24842625
#>  [86,] 5.30803927 5.142872121 4.97209058 4.79910723 4.627169260 4.45915810
#>  [87,] 5.52695563 5.358498441 5.18354245 5.00557832 4.827957836 4.65369043
#>  [88,] 5.72125481 5.551226105 5.37351970 5.19167949 5.009144723 4.82904635
#>  [89,] 5.88245346 5.713378717 5.53520157 5.35148043 5.165708151 4.98111205
#>  [90,] 6.00085683 5.835974743 5.66040232 5.47766257 5.291253029 5.10445395
#>  [91,] 6.06625810 5.909311271 5.74003222 5.56185166 5.378211669 5.19238671
#>  [92,] 6.06888555 5.923812726 5.76483576 5.59523434 5.418329367 5.23732075
#>  [93,] 6.00046998 5.871035026 5.72631769 5.56939149 5.403391091 5.23136995
#>  [94,] 5.85527676 5.744683282 5.61773135 5.47724137 5.326103700 5.16715760
#>  [95,] 5.63095510 5.541500820 5.43499520 5.31397007 5.181025461 5.03872969
#>  [96,] 5.32909628 5.261917392 5.17742355 5.07783569 4.965432923 4.84247187
#>  [97,] 4.95545037 4.910392589 4.84819530 4.77075942 4.680029086 4.57792731
#>  [98,] 4.51980584 4.495438702 4.45452446 4.39864664 4.329416079 4.24841924
#>  [99,]         NA          NA         NA 3.97140378 3.922270875 3.86138894
#> [100,]         NA          NA         NA         NA          NA         NA
#>              [,44]      [,45]       [,46]       [,47]       [,48]      [,49]
#>   [1,]          NA         NA          NA          NA          NA         NA
#>   [2,] 1.949935991 2.02107883 2.095223801 2.172759394 2.254281965 2.34058131
#>   [3,] 1.670867008 1.73121806 1.794384008 1.860846780 1.931292774 2.00660002
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#>  [68,] 0.609227509 0.51025929 0.417651884 0.332137007 0.254134518 0.18380122
#>  [69,] 0.705747578 0.60208663 0.504986097 0.415231352 0.333278648 0.25930488
#>  [70,] 0.817524620 0.70906013 0.607378118 0.513312438 0.427349238 0.34967815
#>  [71,] 0.946421642 0.83318498 0.726958217 0.628615417 0.538664290 0.45729911
#>  [72,] 1.093968284 0.97615173 0.865559636 0.763095098 0.669277279 0.58429631
#>  [73,] 1.261146073 1.13910847 1.024480645 0.918180908 0.820728032 0.73229838
#>  [74,] 1.448184826 1.32244034 1.204250243 1.094531900 0.993790185 0.90217700
#>  [75,] 1.654403014 1.52558992 1.404431088 1.291825035 1.188247679 1.09381443
#>  [76,] 1.878124325 1.74695210 1.623494309 1.508611798 1.402735278 1.30593015
#>  [77,] 2.116695822 1.98387143 1.858796104 1.742274518 1.634675411 1.53599936
#>  [78,] 2.366619820 2.23275748 2.106674835 1.989103827 1.880335103 1.78028900
#>  [79,] 2.623793046 2.48931602 2.362670504 2.244503099 2.135012564 2.03402426
#>  [80,] 2.883825473 2.74887275 2.621847982 2.503306029 2.393344426 2.29168151
#>  [81,] 3.142391497 3.00674580 2.879184495 2.760172670 2.649704196 2.54738352
#>  [82,] 3.395552393 3.25860777 3.129964811 3.010011099 2.898643605 2.79535392
#>  [83,] 3.639985803 3.50077157 3.370118606 3.248360422 3.135314859 3.03037209
#>  [84,] 3.873068150 3.73034104 3.596436919 3.471669492 3.355806946 3.24816154
#>  [85,] 4.092779492 3.94518651 3.806619844 3.677416481 3.557335263 3.44564638
#>  [86,] 4.297434344 4.14373636 3.999134372 3.864036800 3.738241555 3.62102331
#>  [87,] 4.485279963 4.32461197 4.172895493 4.030658148 3.897788860 3.77362039
#>  [88,] 4.654037261 4.48616871 4.326819169 4.176676529 4.035770125 3.90354590
#>  [89,] 4.800480632 4.62603100 4.459325359 4.301239877 4.151984365 4.01116784
#>  [90,] 4.920155637 4.74072005 4.567887017 4.402730371 4.245664848 4.09650026
#>  [91,] 5.007316341 4.82546532 4.648722798 4.478347901 4.314964336 4.15860241
#>  [92,] 5.055130441 4.87426594 4.696716826 4.523892957 4.356608672 4.19511292
#>  [93,] 5.056157915 4.88023311 4.705620630 4.533827451 4.365819106 4.20203934
#>  [94,] 5.003066671 4.83620338 4.668554706 4.501658215 4.336574790 4.17390019
#>  [95,] 4.889514224 4.73557418 4.578784863 4.420643288 4.262240821 4.10426963
#>  [96,] 4.711101104 4.57327925 4.430705283 4.284769015 4.136527167 3.98670792
#>  [97,] 4.466288552 4.34679439 4.220919094 4.089891229 3.954676059 3.81598101
#>  [98,] 4.157166288 4.05704297 3.949271197 3.834882753 3.714709606 3.58939245
#>  [99,] 3.789953329 3.70905661 3.619662592 3.522591619 3.418519176 3.30798865
#> [100,]          NA         NA          NA          NA          NA         NA
#>             [,50]       [,51]      [,52]      [,53]       [,54]      [,55]
#>   [1,]         NA          NA         NA         NA          NA         NA
#>   [2,] 2.43261600 2.531478051 2.63834715 2.75443539 2.880924127 3.01889518
#>   [3,] 2.08781556 2.176122521 2.27279705 2.37915610 2.496497446 2.62603440
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#>   [8,] 0.64410487 0.684263722 0.73158408 0.78743732 0.853217168 0.93029401
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#>  [71,] 0.38446014 0.319893898 0.26321070 0.21393720 0.171563267 0.13558294
#>  [72,] 0.50807591 0.440337734 0.38066319 0.32855042 0.283465281 0.24488578
#>  [73,] 0.65279180 0.581899869 0.51917194 0.46407627 0.416054887 0.37457133
#>  [74,] 0.81956040 0.745596521 0.67979955 0.62160665 0.570436383 0.52573952
#>  [75,] 1.00835244 0.931476019 0.86266007 0.80130853 0.746815960 0.69862122
#>  [76,] 1.21797186 1.138424519 1.06671764 1.00221771 0.944292747 0.89236864
#>  [77,] 1.44595729 1.364052272 1.28965938 1.22210036 1.160711143 1.10490083
#>  [78,] 1.68859736 1.604688703 1.52787139 1.45741158 1.392603918 1.33283353
#>  [79,] 1.94107565 1.855505184 1.77653934 1.70337442 1.635251072 1.57151985
#>  [80,] 2.19774602 2.110770375 2.02988242 1.95419203 1.882870431 1.81522028
#>  [81,] 2.45251979 2.364225405 2.28151350 2.20339067 2.128942414 2.05740881
#>  [82,] 2.69932723 2.609546937 2.52489919 2.44427309 2.366653717 2.29120476
#>  [83,] 2.93259847 2.840847901 2.75387448 2.67044167 2.589424220 2.50989904
#>  [84,] 3.14769792 3.053151458 2.96314980 2.87633201 2.791460648 2.70752168
#>  [85,] 3.34124311 3.242766774 3.14873733 3.05768300 2.968262917 2.87937668
#>  [86,] 3.51124700 3.407498241 3.30822228 3.21186368 3.116999369 3.02245747
#>  [87,] 3.65704229 3.546634901 3.44081492 3.33798383 3.236669993 3.13565571
#>  [88,] 3.77897619 3.660694429 3.54714495 3.43673754 3.327996441 3.21969348
#>  [89,] 3.87790219 3.750934506 3.62879759 3.50996738 3.393015633 3.27674628
#>  [90,] 3.95453638 3.818689547 3.68764003 3.55998831 3.434407629 3.30978008
#>  [91,] 4.00878310 3.864635629 3.72503799 3.58876782 3.454650567 3.32169165
#>  [92,] 4.03916126 3.888122021 3.74110645 3.59711022 3.455153214 3.31440401
#>  [93,] 4.04246990 3.886723799 3.73416240 3.58402434 3.435553348 3.28811192
#>  [94,] 4.01381363 3.856157701 3.70054095 3.54645189 3.393372307 3.24087757
#>  [95,] 3.94706194 3.790657346 3.63489058 3.47948954 3.324172537 3.16873387
#>  [96,] 3.83574329 3.683825491 3.53098062 3.37715085 3.222275392 3.06636072
#>  [97,] 3.67428378 3.529879945 3.38294412 3.23359751 3.081973290 2.92827203
#>  [98,] 3.45940693 3.325104569 3.18676375 3.04464426 2.899038737 2.75031456
#>  [99,] 3.19143727 3.069232503 2.94171481 2.80924150 2.672226231 2.53116919
#> [100,]         NA          NA         NA         NA          NA         NA
#>             [,56]       [,57]      [,58]       [,59]       [,60]      [,61]
#>   [1,]         NA          NA         NA          NA          NA         NA
#>   [2,] 3.16925892 3.332682129 3.50951811 3.699741693 3.902890962         NA
#>   [3,] 2.76882745 2.925715728 3.09725085 3.283635352 3.484667463 3.69969332
#>   [4,] 2.36899378 2.517382789 2.68122218 2.860908290 3.056467669 3.26751306
#>   [5,] 1.98448618 2.122817031 2.27698141 2.447535456 2.634700589 2.83832387
#>   [6,] 1.62677444 1.753939027 1.89692711 2.056420286 2.232800471 2.42611479
#>   [7,] 1.30377121 1.419146554 1.54998416 1.697055762 1.860868106 2.04163255
#>   [8,] 1.01996792 1.123422430 1.24168129 1.375569797 1.525682318 1.69235678
#>   [9,] 0.77687423 0.868736220 0.97451193 1.095043261 1.230973726 1.38272839
#>  [10,] 0.57362528 0.654613042 0.74846072 0.855991087 0.977858370 1.11453438
#>  [11,] 0.40763787 0.478759179 0.56159372 0.656912940 0.765345465 0.88737016
#>  [12,] 0.27522748 0.337661461 0.41063527 0.494842759 0.590855149 0.69912165
#>  [13,] 0.17213099 0.227107699 0.29148163 0.365850676 0.450703698 0.54642898
#>  [14,] 0.09391100 0.142602981 0.19962583 0.265472201 0.340532284 0.42510972
#>  [15,] 0.03624106 0.079678060 0.13048722 0.189056089 0.255669253 0.33053101
#>  [16,] 0.00000000 0.034100279 0.07965217 0.132033309 0.191424994 0.25792701
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#>  [68,] 0.00000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
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#>  [70,] 0.01703242 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
#>  [71,] 0.10552935 0.081003367 0.06169495 0.047396297 0.038005395 0.03351923
#>  [72,] 0.21233974 0.185434994 0.16388102 0.147500648 0.136230477 0.13010913
#>  [73,] 0.33915086 0.309412041 0.28508845 0.266038777 0.252243783 0.24378929
#>  [74,] 0.48704154 0.453975530 0.42630380 0.403926266 0.386873848 0.37528595
#>  [75,] 0.65625205 0.619359235 0.58773806 0.561335022 0.540237569 0.52464605
#>  [76,] 0.84597585 0.804784716 0.76862696 0.737500688 0.711556561 0.69106418
#>  [77,] 1.05420059 1.008300383 0.96707051 0.930565101 0.899004776 0.87273744
#>  [78,] 1.27762744 1.226692877 1.17993924 1.137480094 1.099612414 1.06677165
#>  [79,] 1.51169571 1.455498334 1.40287476 1.354000036 1.309252824 1.26916467
#>  [80,] 1.75073393 1.689136401 1.63040884 1.574787859 1.522737375 1.47489153
#>  [81,] 1.98824756 1.921180097 1.85621617 1.793651744 1.734036621 1.67811051
#>  [82,] 2.21733719 2.144759207 2.07350196 2.003915779 1.936633107 1.87249699
#>  [83,] 2.43122041 2.353074107 2.27550431 2.198907832 2.123991638 2.05169327
#>  [84,] 2.62380694 2.539972585 2.45606707 2.372522845 2.290108030 2.20983830
#>  [85,] 2.79025413 2.700518083 2.61021302 2.519793758 2.430071024 2.34211480
#>  [86,] 2.92741401 2.831459495 2.73462770 2.637381104 2.540550292 2.44522950
#>  [87,] 3.03407981 2.931507040 2.82795650 2.723883546 2.620113712 2.51773175
#>  [88,] 3.11095487 3.001332155 2.89082951 2.779882374 2.669286857 2.56008455
#>  [89,] 3.16030407 3.043245525 2.92556442 2.807667510 2.690301134 2.57443456
#>  [90,] 3.18530436 3.060564899 2.93555488 2.810649846 2.686533396 2.56408239
#>  [91,] 3.18918034 3.056755174 2.92442407 2.792536516 2.661710703 2.53272376
#>  [92,] 3.17427705 3.034492591 2.89509343 2.756416604 2.619023978 2.48360054
#>  [93,] 3.14126916 2.994853811 2.84896716 2.703955079 2.560343716 2.41874814
#>  [94,] 3.08871329 2.936840201 2.78544294 2.634902969 2.485740515 2.33853477
#>  [95,] 3.01310796 2.857405358 2.70191725 2.547089403 2.393470719 2.24164522
#>  [96,] 2.90953184 2.752059170 2.59435855 2.436966196 2.280493463 2.12556980
#>  [97,] 2.77280043 2.615989163 2.45838854 2.300643956 2.143456110 1.98753317
#>  [98,] 2.59894102 2.445498812 2.29067143 2.135220728 1.979951180 1.82566932
#>  [99,] 2.38667419 2.239450817 2.09030186 1.940098532 1.789747551         NA
#> [100,]         NA          NA         NA          NA          NA         NA
#>             [,62]      [,63]      [,64]       [,65]       [,66]      [,67]
#>   [1,]         NA         NA         NA          NA          NA         NA
#>   [2,]         NA         NA         NA          NA          NA         NA
#>   [3,] 3.92756705 4.16661892 4.41463146          NA          NA         NA
#>   [4,] 3.49320665 3.73223012 3.98276037 4.242450345 4.508414703 4.77722201
#>   [5,] 3.05784560 3.29227318 3.54015981 3.799586040 4.068142707 4.34291471
#>   [6,] 2.63604780 2.86190002 3.10257105 3.356544746 3.621873959 3.89616261
#>   [7,] 2.23924187 2.45325351 2.68287751 2.926966434 3.184004208 3.45209072
#>   [8,] 1.87565619 2.07535655 2.29093933 2.521586188 2.766172503 3.02325631
#>   [9,] 1.55050054 1.73424433 1.93367173 2.148251502 2.377207082 2.61950983
#>  [10,] 1.26630107 1.43324848 1.61527637 1.812097169 2.023237411 2.24803450
#>  [11,] 1.02331554 1.17336402 1.33755887 1.515811346 1.707905345 1.91349647
#>  [12,] 0.81997669 0.95365161 1.10028813 1.259950500 1.432633397 1.61826274
#>  [13,] 0.65332999 0.77164571 0.90157197 1.043279904 1.196927947 1.36266439
#>  [14,] 0.51944629 0.62375182 0.73823468 0.863128094 0.998707533 1.14529589
#>  [15,] 0.41379884 0.50562327 0.60618865 0.715748731 0.834651122 0.96334643
#>  [16,] 0.33159911 0.41251078 0.50079280 0.596683153 0.700560294 0.81295784
#>  [17,] 0.26808805 0.33957872 0.41718965 0.501113960 0.591725004 0.68959849
#>  [18,] 0.21877963 0.28218087 0.35061075 0.424196628 0.503277814 0.58843653
#>  [19,] 0.17965417 0.23608883 0.29663900 0.361354094 0.430518362 0.50469164
#>  [20,] 0.14729905 0.19766641 0.25141737 0.308519561 0.369189442 0.43394305
#>  [21,] 0.11899616 0.16398569 0.21179570 0.262315501 0.315688857 0.37237436
#>  [22,] 0.09275695 0.13288347 0.17541160 0.220161545 0.267206387 0.31694102
#>  [23,] 0.06730856 0.10295999 0.14070566 0.180309712 0.221781976 0.26545401
#>  [24,] 0.04203626 0.07352566 0.10687641 0.141811336 0.178288271 0.21658112
#>  [25,] 0.01688992 0.04450433 0.07378402 0.104425214 0.136346905 0.16977494
#>  [26,] 0.00000000 0.01630372 0.04181522 0.068480364 0.096192761 0.12514212
#>  [27,] 0.00000000 0.00000000 0.01172318 0.034709084 0.058503312 0.08327218
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#>  [71,] 0.03401662 0.03963164 0.05052011 0.066822185 0.088625507 0.11593266
#>  [72,] 0.12925346 0.13382428 0.14398437 0.159853230 0.181463498 0.20872436
#>  [73,] 0.24083542 0.24357414 0.25217868 0.266750190 0.287267675 0.31354772
#>  [74,] 0.36937254 0.36936331 0.37544833 0.387716555 0.406099530 0.43032776
#>  [75,] 0.51482848 0.51106126 0.51356092 0.522414563 0.537517333 0.55852581
#>  [76,] 0.67635953 0.66777707 0.66557262 0.669845568 0.680470200 0.69704611
#>  [77,] 0.85217832 0.83773334 0.82971289 0.828245716 0.833203930 0.84415027
#>  [78,] 1.03946420 1.01818180 1.00330590 0.995012958 0.993192752 0.99739226
#>  [79,] 1.23434445 1.20538343 1.18274989 1.166685220 1.157115376 1.15359087
#>  [80,] 1.43197070 1.39467668 1.36357695 1.338991394 1.320896364 1.30886067
#>  [81,] 1.62670996 1.58065304 1.54061290 1.506994787 1.479832780 1.45872182
#>  [82,] 1.81245832 1.75744960 1.70824760 1.665340808 1.628819330 1.59830365
#>  [83,] 1.98306790 1.91915107 1.86081075 1.808606109 1.762671671 1.72264434
#>  [84,] 2.13285374 2.06027106 1.99302611 1.931725632 1.876527747 1.82706947
#>  [85,] 2.25712160 2.17625745 2.10049290 2.030450349 1.966283849 1.90761009
#>  [86,] 2.35263575 2.26394476 2.18012166 2.101767242 2.029001025 1.96139903
#>  [87,] 2.41793499 2.32186553 2.23044044 2.144201459 2.063205351 1.98697214
#>  [88,] 2.45341329 2.35033969 2.25169352 2.157925538 2.069009368 1.98440331
#>  [89,] 2.46111204 2.35129030 2.24568199 2.144626253 2.048005805 1.95522460
#>  [90,] 2.44422439 2.32778487 2.21534428 2.107125281 2.002927789 1.90212336
#>  [91,] 2.40637871 2.28336546 2.16413536 2.048807899 1.937124877 1.82846092
#>  [92,] 2.35083418 2.22129376 2.09532357 1.972970751 1.853958159 1.73770883
#>  [93,] 2.27976726 2.14388078 2.01136453 1.882237970 1.756253808 1.63293286
#>  [94,] 2.19383496 2.05207657 1.91351653 1.778198874 1.645957580 1.51645751
#>  [95,] 2.09215889 1.94545384 1.80182113 1.661381019 1.524094817 1.38980726
#>  [96,] 1.97278380 1.82263265 1.67548924 1.531592721 1.391064838 1.25394938
#>  [97,] 1.83354350 1.68207723 1.53362329 1.388566118 1.247202129 1.10977280
#>  [98,] 1.67314516 1.52308205 1.37609987          NA          NA         NA
#>  [99,]         NA         NA         NA          NA          NA         NA
#> [100,]         NA         NA         NA          NA          NA         NA
#>             [,68]      [,69]      [,70]      [,71]      [,72]      [,73]
#>   [1,]         NA         NA         NA         NA         NA         NA
#>   [2,]         NA         NA         NA         NA         NA         NA
#>   [3,]         NA         NA         NA         NA         NA         NA
#>   [4,]         NA         NA         NA         NA         NA         NA
#>   [5,] 4.62046708 4.89683747         NA         NA         NA         NA
#>   [6,] 4.17654442 4.45965990 4.74163621 5.01807846 5.28408419         NA
#>   [7,] 3.72891974 4.01174945 4.29736749 4.58205591 4.86156572 5.13111439
#>   [8,] 3.29105912 3.56743637 3.84983675 4.13525308 4.42017083 4.70052494
#>   [9,] 2.87386404 3.13868044 3.41203597 3.69161988 3.97466899 4.25789915
#>  [10,] 2.48562528 2.73492327 2.99458154 3.26293991 3.53795650 3.81712737
#>  [11,] 2.13210283 2.36308476 2.60561093 2.85860876 3.12069812 3.39010888
#>  [12,] 1.81668720 2.02765846 2.25079870 2.48555380 2.73113101 2.98642023
#>  [13,] 1.54061866 1.73088021 1.93346486 2.14826847 2.37500752 2.61314594
#>  [14,] 1.30325434 1.47295860 1.65476183 1.84894559 2.05566065 2.27485785
#>  [15,] 1.10237946 1.25236261 1.41393351 1.58770074 1.77418110 1.97373131
#>  [16,] 0.93455762 1.06616079 1.20863988 1.36287708 1.52969494 1.70978469
#>  [17,] 0.79550917 0.91040118 1.03533513 1.17141827 1.31972614 1.48122397
#>  [18,] 0.68050020 0.78051302 0.88967969 1.00928800 1.14062049 1.28486601
#>  [19,] 0.58471891 0.67170540 0.76695910 0.87190751 0.98799974 1.11660675
#>  [20,] 0.50361411 0.57933472 0.66247925 0.75457773 0.85720994 0.97189467
#>  [21,] 0.43317266 0.49921443 0.57190815 0.65285300 0.74372766 0.84616991
#>  [22,] 0.37011850 0.42784625 0.49153998 0.56283895 0.64349266 0.73523350
#>  [23,] 0.31202375 0.36256039 0.41846593 0.48139552 0.55314526 0.63552116
#>  [24,] 0.25733159 0.30156238 0.35064718 0.40623815 0.47015788 0.54426817
#>  [25,] 0.20529908 0.24389352 0.28689543 0.33594083 0.39286316 0.45956526
#>  [26,] 0.15587468 0.18931964 0.22677552 0.26985489 0.32039127 0.38031699
#>  [27,] 0.10952968 0.13816797 0.17045023 0.20796398 0.25253705 0.30612331
#>  [28,] 0.06706468 0.09113437 0.11849060 0.15069941 0.18958200 0.23710963
#>  [29,] 0.02941137 0.04908286 0.07167493 0.09874008 0.13209652 0.17373230
#>  [30,] 0.00000000 0.01285679 0.03079713 0.05281927 0.08074576 0.11658421
#>  [31,] 0.00000000 0.00000000 0.00000000 0.01355599 0.03611820 0.06622070
#>  [32,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.02302045
#>  [33,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [34,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [35,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [36,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [37,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [38,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [39,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [40,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [41,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [42,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [43,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [44,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [45,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [46,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [47,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [48,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [49,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [50,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [51,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [52,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [53,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [54,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [55,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [56,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [57,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [58,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [59,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [60,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [61,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [62,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [63,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [64,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [65,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#>  [66,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04184163
#>  [67,] 0.00000000 0.00000000 0.00000000 0.00000000 0.04226471 0.09745539
#>  [68,] 0.00000000 0.00000000 0.00725039 0.05220775 0.10281954 0.15900590
#>  [69,] 0.00000000 0.03127072 0.07240976 0.11881978 0.17033491 0.22666295
#>  [70,] 0.06679712 0.10398880 0.14628627 0.19341808 0.24500109 0.30053055
#>  [71,] 0.14863663 0.18650630 0.22918208 0.27617971 0.32689837 0.38062818
#>  [72,] 0.24139628 0.27907992 0.32121972 0.36712012 0.41596978 0.46686799
#>  [73,] 0.34521930 0.38171721 0.42229492 0.46605444 0.51198789 0.55902347
#>  [74,] 0.45990624 0.49411321 0.53202310 0.57255080 0.61451113 0.65668427
#>  [75,] 0.58483460 0.61558079 0.64967744 0.68587247 0.72282570 0.75919325
#>  [76,] 0.71887593 0.74497566 0.77411846 0.80490794 0.83587207 0.86556536
#>  [77,] 0.86031685 0.88062097 0.90371890 0.92809279 0.95216046 0.97439384
#>  [78,] 1.00679497 1.02024182 1.03629426 1.05333385 1.06968688 1.08375750
#>  [79,] 1.15526633 1.16092601 1.16905556 1.17795351 1.18586943 1.19115059
#>  [80,] 1.30202514 1.29913244 1.29860714 1.29867841 1.29753082 1.29346334
#>  [81,] 1.44279747 1.43077022 1.42101376 1.41169853 1.40095457 1.38704161
#>  [82,] 1.57292541 1.55136678 1.53195734 1.51281849 1.49203757 1.46784813
#>  [83,] 1.68764654 1.65633201 1.62699190 1.59771006 1.56654776 1.53173247
#>  [84,] 1.78245438 1.74130635 1.70188577 1.66225551 1.62047491 1.57479500
#>  [85,] 1.85350314 1.80255789 1.75301696 1.70294653 1.65043757 1.59380433
#>  [86,] 1.89799835 1.83737170 1.77776502 1.71728137 1.65408633 1.58660542
#>  [87,] 1.91450179 1.84436065 1.77482862 1.70408830 1.63043009 1.55244339
#>  [88,] 1.90308072 1.82362799 1.74439887 1.66370482 1.58001437 1.49213229
#>  [89,] 1.86525227 1.77673187 1.68813778 1.59796201 1.50490191 1.40802137
#>  [90,] 1.80371259 1.70643961 1.60894874 1.50996098 1.40844416 1.30375083
#>  [91,] 1.72189127 1.61630877 1.51057395 1.40367588 1.29487946 1.18383616
#>  [92,] 1.62342035 1.51017944 1.39709986 1.28346282 1.16883737 1.05316207
#>  [93,] 1.51164046 1.39169343 1.27248126 1.15358205 1.03485442 0.91649001
#>  [94,] 1.38926800 1.26395775 1.14019559 1.01784032 0.89700408 0.77807841
#>  [95,] 1.25831285 1.12943519 1.00310555 0.87942664 0.75871004         NA
#>  [96,] 1.12026784 0.99008125         NA         NA         NA         NA
#>  [97,]         NA         NA         NA         NA         NA         NA
#>  [98,]         NA         NA         NA         NA         NA         NA
#>  [99,]         NA         NA         NA         NA         NA         NA
#> [100,]         NA         NA         NA         NA         NA         NA
#>              [,74]      [,75]       [,76]       [,77]       [,78]       [,79]
#>   [1,]          NA         NA          NA          NA          NA          NA
#>   [2,]          NA         NA          NA          NA          NA          NA
#>   [3,]          NA         NA          NA          NA          NA          NA
#>   [4,]          NA         NA          NA          NA          NA          NA
#>   [5,]          NA         NA          NA          NA          NA          NA
#>   [6,]          NA         NA          NA          NA          NA          NA
#>   [7,] 5.385422668         NA          NA          NA          NA          NA
#>   [8,] 4.971680051 5.22845191          NA          NA          NA          NA
#>   [9,] 4.537444610 4.80882135 5.066934216 5.306148235          NA          NA
#>  [10,] 4.097401471 4.37510354 4.645882036 4.904703490 5.145915587          NA
#>  [11,] 3.664585974 3.94128957 4.216703122 4.486567814 4.745866104 4.988879154
#>  [12,] 3.249899508 3.51952779 3.792632405 4.065804421 4.334821307 4.594622066
#>  [13,] 2.861806790 3.11966878 3.384849527 3.654782468 3.926101060 4.194551439
#>  [14,] 2.506207782 2.74900719 3.002069849 3.263602711 3.531073605 3.801085099
#>  [15,] 2.186474039 2.41221593 2.650352790 2.899757690 3.158651012 3.424458857
#>  [16,] 1.903635012 2.11145977 2.333119474 2.568028580 2.815041630 3.072316244
#>  [17,] 1.656693372 1.84666582 2.051358260 2.270601807 2.503751913 2.749570767
#>  [18,] 1.443040125 1.61591894 1.803984398 2.007372169 2.225808306 2.458519823
#>  [19,] 1.258932088 1.41594101 1.588309422 1.776385904 1.980152640 2.199167069
#>  [20,] 1.099988636 1.24260673 1.400568590 1.574368010 1.764152560 1.969694145
#>  [21,] 0.961663603 1.09144712 1.236452406 1.397274630 1.574163000 1.767014268
#>  [22,] 0.839652722 0.95809621 1.091592078 1.240814275 1.406076363 1.587339734
#>  [23,] 0.730206592 0.83864586 0.961958335 1.100891029 1.255807715 1.426702684
#>  [24,] 0.630332133 0.72988750 0.844147089 0.973937135 1.119675519 1.281382258
#>  [25,] 0.537879603 0.62943435 0.735541411 0.857119285 0.994656067 1.148209151
#>  [26,] 0.451525235 0.53573208 0.634354818 0.748419770 0.878507809 1.024737687
#>  [27,] 0.370669542 0.44797710 0.539573627 0.646607959 0.769777740 0.909293079
#>  [28,] 0.295277358 0.36596879 0.450824619 0.551127623 0.667713795 0.800915141
#>  [29,] 0.225687574 0.28992487 0.368198023 0.461930713 0.572113825 0.699228156
#>  [30,] 0.162418732 0.22028751 0.292055148 0.379288380 0.483143139 0.604269487
#>  [31,] 0.105992218 0.15754361 0.222845869 0.303606402 0.401149658 0.516307632
#>  [32,] 0.056788820 0.10207647 0.160954862 0.235265876 0.326499708 0.435674941
#>  [33,] 0.014948031 0.05405919 0.106588366 0.174502644 0.259449938 0.362632687
#>  [34,] 0.000000000 0.01339389 0.059706343 0.121331586 0.200063101 0.297278255
#>  [35,] 0.000000000 0.00000000 0.019999061 0.075515569 0.148168624 0.239496820
#>  [36,] 0.000000000 0.00000000 0.000000000 0.036574006 0.103363552 0.188954102
#>  [37,] 0.000000000 0.00000000 0.000000000 0.003822817 0.065045908 0.145122745
#>  [38,] 0.000000000 0.00000000 0.000000000 0.000000000 0.032470680 0.107332673
#>  [39,] 0.000000000 0.00000000 0.000000000 0.000000000 0.004818239 0.074835191
#>  [40,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.046871234
#>  [41,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.022735568
#>  [42,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.001830715
#>  [43,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [44,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [45,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [46,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [47,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [48,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [49,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [50,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [51,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [52,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [53,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [54,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
#>  [55,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.009627748
#>  [56,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.039829214
#>  [57,] 0.000000000 0.00000000 0.000000000 0.000000000 0.000000000 0.074503966
#>  [58,] 0.000000000 0.00000000 0.000000000 0.000000000 0.034264076 0.113202041
#>  [59,] 0.000000000 0.00000000 0.000000000 0.000000000 0.072763950 0.155346788
#>  [60,] 0.000000000 0.00000000 0.000000000 0.037239383 0.114508074 0.200262617
#>  [61,] 0.000000000 0.00000000 0.006507044 0.078391977 0.158964481 0.247211394
#>  [62,] 0.000000000 0.00000000 0.047352842 0.122452520 0.205576222 0.295435938
#>  [63,] 0.000000000 0.02208623 0.091526196 0.169056942 0.253796589 0.344208376
#>  [64,] 0.003378293 0.06717724 0.138850195 0.217866369 0.303125843 0.392880467
#>  [65,] 0.050354266 0.11618562 0.189174198 0.268590772 0.353147277 0.440932404
#>  [66,] 0.102118213 0.16911842 0.242384548 0.321010652 0.403560064 0.488016039
#>  [67,] 0.158799770 0.22599734 0.298413227 0.374995183 0.454205925 0.533988052
#>  [68,] 0.220513986 0.28685663 0.357243681 0.430514743 0.505086153 0.578928231
#>  [69,] 0.287350673 0.35173915 0.418912173 0.487645010 0.556364980 0.623137858
#>  [70,] 0.359362844 0.42068921 0.483501997 0.546558908 0.608354816 0.667113337
#>  [71,] 0.436552025 0.49373867 0.551126535 0.607501891 0.661478735 0.711490902
#>  [72,] 0.518846515 0.57088200 0.621896251 0.670745785 0.716206177 0.756959850
#>  [73,] 0.606067418 0.65203485 0.695864584 0.736517163 0.772959645 0.804144598
#>  [74,] 0.697877144 0.73697117 0.772949184 0.804898736 0.831993617 0.853460265
#>  [75,] 0.793706978 0.82523707 0.852828543 0.875706677 0.893252188 0.904952337
#>  [76,] 0.892664615 0.91604430 0.934819981 0.948353361 0.956218788 0.958137728
#>  [77,] 0.993429350 1.00815380 1.017752654 1.021712718 1.019778719 1.011871118
#>  [78,] 1.094150950 1.09976826 1.099857498 1.094012946 1.082121506 1.064264991
#>  [79,] 1.192376352 1.18846016 1.178702578 1.162786339 1.140713106 1.112692277
#>  [80,] 1.285033594 1.27116577 1.251204602 1.224906026 1.192365376 1.153895107
#>  [81,] 1.368502072 1.34427357 1.313742927 1.276732454 1.233420533 1.184210798
#>  [82,] 1.438789989 1.40382499 1.362389803 1.314377473 1.260051258 1.199907387
#>  [83,] 1.491823205 1.44582730 1.393250382 1.334072295 1.268654587 1.197598434
#>  [84,] 1.523826269 1.46665361 1.402881073 1.332600776 1.256293859 1.174684719
#>  [85,] 1.531750751 1.46347993 1.388730585 1.307737091 1.221123479 1.129754744
#>  [86,] 1.513684533 1.43468953 1.349531029 1.258613566 1.162722267 1.062871993
#>  [87,] 1.469165721 1.38016780 1.285563310 1.185945710 1.082267484 0.975688347
#>  [88,] 1.399331918 1.30142132 1.198735571 1.092060319 0.982504621 0.871349923
#>  [89,] 1.306861343 1.20148380 1.092445091 0.980706921 0.867504618 0.754199491
#>  [90,] 1.195703211 1.08461321 0.971237113 0.856676016 0.742242615 0.629320177
#>  [91,] 1.070641385 0.95583070 0.840317993 0.725288861 0.612069906          NA
#>  [92,] 0.936774873 0.82038783 0.705012571 0.591851204          NA          NA
#>  [93,] 0.799018444 0.68326454          NA          NA          NA          NA
#>  [94,] 0.661718375         NA          NA          NA          NA          NA
#>  [95,]          NA         NA          NA          NA          NA          NA
#>  [96,]          NA         NA          NA          NA          NA          NA
#>  [97,]          NA         NA          NA          NA          NA          NA
#>  [98,]          NA         NA          NA          NA          NA          NA
#>  [99,]          NA         NA          NA          NA          NA          NA
#> [100,]          NA         NA          NA          NA          NA          NA
#>              [,80]      [,81]     [,82]     [,83]     [,84]     [,85]     [,86]
#>   [1,]          NA         NA        NA        NA        NA        NA        NA
#>   [2,]          NA         NA        NA        NA        NA        NA        NA
#>   [3,]          NA         NA        NA        NA        NA        NA        NA
#>   [4,]          NA         NA        NA        NA        NA        NA        NA
#>   [5,]          NA         NA        NA        NA        NA        NA        NA
#>   [6,]          NA         NA        NA        NA        NA        NA        NA
#>   [7,]          NA         NA        NA        NA        NA        NA        NA
#>   [8,]          NA         NA        NA        NA        NA        NA        NA
#>   [9,]          NA         NA        NA        NA        NA        NA        NA
#>  [10,]          NA         NA        NA        NA        NA        NA        NA
#>  [11,] 5.209339708         NA        NA        NA        NA        NA        NA
#>  [12,] 4.839362229 5.06257294        NA        NA        NA        NA        NA
#>  [13,] 4.454961704 4.70129883 4.9268403        NA        NA        NA        NA
#>  [14,] 4.069278738 4.33030193 4.5778729 4.8049732        NA        NA        NA
#>  [15,] 3.693676860 3.96176804 4.2231325 4.4711890 4.6985999        NA        NA
#>  [16,] 3.337161024 3.60588964 3.8737161 4.1347353 4.3820336 4.6079585        NA
#>  [17,] 3.006080531 3.27039917 3.5385868 3.8055453 4.0650220 4.3097642 4.5318476
#>  [18,] 2.704109238 2.96039457 3.2242330 3.4913651 3.7563302 4.0125100 4.2523433
#>  [19,] 2.432467466 2.67843435 2.9346151 3.1975393 3.4625712 3.7238583 3.9744340
#>  [20,] 2.190329181 2.42485234 2.6713608 2.9270651 3.1881061 3.4494322 3.7048032
#>  [21,] 1.975345632 2.19822529 2.4341486 2.6808651 2.9351845 3.1928106 3.4482671
#>  [22,] 1.784213163 1.99591892 2.2212066 2.4582104 2.7042659 2.9557265 3.2078381
#>  [23,] 1.613218192 1.81464029 2.0298502 2.2572188 2.4944510 2.7384069 2.9849530
#>  [24,] 1.458704875 1.65093504 1.8569922 2.0753570 2.3039516 2.5399848 2.7798025
#>  [25,] 1.317428703 1.50158465 1.6995740 1.9098889 2.1305363 2.3589185 2.5917021
#>  [26,] 1.186779010 1.36387901 1.5548830 1.7582289 1.9719044 2.1933670 2.4194466
#>  [27,] 1.064872324 1.23575909 1.4207448 1.6181795 1.8259596 2.0414868 2.2616117
#>  [28,] 0.950533881 1.11584204 1.2955958 1.4880519 1.6909751 1.9016323 2.1167774
#>  [29,] 0.843194996 1.00335293 1.1784555 1.3666822 1.5656555 1.7724601 1.9836668
#>  [30,] 0.742738686 0.89799429 1.0688268 1.2533699 1.4491161 1.6529508 1.8612073
#>  [31,] 0.649325319 0.79978543 0.9665561 1.1477655 1.3408052 1.5423693 1.7485289
#>  [32,] 0.563225510 0.70890034 0.8716827 1.0497376 1.2403963 1.4401873 1.6449228
#>  [33,] 0.484680274 0.62552633 0.7843002 0.9592447 1.1476752 1.3459947 1.5497786
#>  [34,] 0.413800408 0.54975759 0.7044482 0.8762287 1.0624433 1.2594155 1.4625230
#>  [35,] 0.350509342 0.48153021 0.6320414 0.8005418 0.9844456 1.1800459 1.3825698
#>  [36,] 0.294527374 0.42059807 0.5668383 0.7319103 0.9133338 1.1074182 1.3092925
#>  [37,] 0.245390649 0.36654423 0.5084452 0.6699324 0.8486594 1.0409946 1.2420208
#>  [38,] 0.202495602 0.31881920 0.4563484 0.6141045 0.7898955 0.9801850 1.1800590
#>  [39,] 0.165158702 0.27679595 0.4099640 0.5638656 0.7364766 0.9243841 1.1227217
#>  [40,] 0.132681725 0.23983217 0.3686967 0.5186530 0.6878499 0.8730193 1.0693786
#>  [41,] 0.104414196 0.20733080 0.3319983 0.4779574 0.6435284 0.8255998 1.0195021
#>  [42,] 0.079806482 0.17879231 0.2994189 0.4413728 0.6031375 0.7817620 0.9727094
#>  [43,] 0.058449162 0.15385387 0.2706450 0.4086338 0.5664511 0.7413023 0.9287943
#>  [44,] 0.040096298 0.13231268 0.2455232 0.3796374 0.5334122 0.7041963 0.8877428
#>  [45,] 0.024672093 0.11413273 0.2240659 0.3544487 0.5041358 0.6705995 0.8497321
#>  [46,] 0.012261883 0.09943556 0.2064411 0.3332881 0.4788950 0.6408304 0.8151111
#>  [47,] 0.003089569 0.08847692 0.1929479 0.3165047 0.4580906 0.6153367 0.7843631
#>  [48,] 0.000000000 0.08161196 0.1839783 0.3045351 0.4422064 0.5946472 0.7580541
#>  [49,] 0.000000000 0.07925206 0.1799715 0.2978531 0.4317545 0.5793126 0.7367696
#>  [50,] 0.000000000 0.08181659 0.1813611 0.2969126 0.4272138 0.5698392 0.7210444
#>  [51,] 0.006058783 0.08968305 0.1885209 0.3020887 0.4289656 0.5666205 0.7112913
#>  [52,] 0.018625197 0.10313873 0.2017117 0.3136199 0.4372327 0.5698732 0.7077333
#>  [53,] 0.036474590 0.12233704 0.2210339 0.3315571 0.4520246 0.5795797 0.7103468
#>  [54,] 0.059670823 0.14726135 0.2463883 0.3557221 0.4730956 0.5954468 0.7188192
#>  [55,] 0.088111567 0.17769896 0.2774486 0.3856803 0.4999184 0.6168809 0.7325284
#>  [56,] 0.121515021 0.21322752 0.3136493 0.4207312 0.5316781 0.6429872 0.7505466
#>  [57,] 0.159418409 0.25321563 0.3541899 0.4599180 0.5672892 0.6725937 0.7716710
#>  [58,] 0.201189109 0.29683913 0.3980585 0.5020597 0.6054364 0.7043014 0.7944828
#>  [59,] 0.246048727 0.34311324 0.4440737 0.5458040 0.6446391 0.7365596 0.8174312
#>  [60,] 0.293109725 0.39094010 0.4909442 0.5897003 0.6833373 0.7677628 0.8389392
#>  [61,] 0.341423316 0.43916989 0.5373447 0.6322892 0.7199937 0.7963633 0.8575220
#>  [62,] 0.390036387 0.48667230 0.5820017 0.6722020 0.7532047 0.8209899 0.8719098
#>  [63,] 0.438054215 0.53241392 0.6237845 0.7082639 0.7818119 0.8405634 0.8811622
#>  [64,] 0.484704742 0.57553567 0.6617943 0.7395910 0.8050029 0.8543971 0.8847622
#>  [65,] 0.529399402 0.61542388 0.6954424 0.7656712 0.8223911 0.8622691 0.8826775
#>  [66,] 0.571784826 0.65176735 0.7245083 0.7864196 0.8340624 0.8644564 0.8753780
#>  [67,] 0.611779426 0.68459344 0.7491709 0.8021994 0.8405815 0.8617233 0.8638029
#>  [68,] 0.649588831 0.71427587 0.7700041 0.8138003 0.8429500 0.8552561 0.8492739
#>  [69,] 0.685694502 0.74150876 0.7879309 0.8223706 0.8425140 0.8465475 0.8333578
#>  [70,] 0.720810820 0.76724269 0.8041360 0.8293033 0.8408246 0.8372341 0.8176863
#>  [71,] 0.755807605 0.79258173 0.8199353 0.8360794 0.8394580 0.8288988 0.8037501
#>  [72,] 0.791597717 0.81864406 0.8366105 0.8440793 0.8398100 0.8228573 0.7926855
#>  [73,] 0.828993291 0.84639335 0.8552190 0.8543781 0.8428842 0.8199484 0.7850802
#>  [74,] 0.868539298 0.87645405 0.8763973 0.8675444 0.8490974 0.8203579 0.7808242
#>  [75,] 0.910339218 0.90892931 0.9001791 0.8834698 0.8581298 0.8234989 0.7790302
#>  [76,] 0.953893882 0.94324589 0.9258563 0.9012543 0.8688456 0.8279756 0.7780448
#>  [77,] 0.997979758 0.97805344 0.9519081 0.9191751 0.8793066 0.8316459 0.7755607
#>  [78,] 1.040595247 1.01120548 0.9760242 0.9347566 0.8868927 0.8317905 0.7688287
#>  [79,] 1.079001305 1.03984418 0.9952376 0.9449525 0.8885301 0.8253806 0.7549546
#>  [80,] 1.109874361 1.06059989 1.0061704 0.9464333 0.8810121 0.8094206 0.7312482
#>  [81,] 1.129574740 1.06989979 1.0053766 0.9359540 0.8613799 0.7813265 0.6955832
#>  [82,] 1.134513971 1.06436001 0.9897488 0.9107634 0.8273178 0.7392903 0.6467146
#>  [83,] 1.121582427 1.04121524 0.9569371 0.8689951 0.7775029 0.6825746 0.5845055
#>  [84,] 1.088579526 0.99872439 0.9057155 0.8099833 0.7118557 0.6116871 0.5100205
#>  [85,] 1.034577535 0.93648497 0.8362354 0.7344432 0.6316416 0.5284005        NA
#>  [86,] 0.960151498 0.85559574 0.7501129 0.6444793 0.5393988        NA        NA
#>  [87,] 0.867424303 0.75862833 0.6503252 0.5434090        NA        NA        NA
#>  [88,] 0.759905883 0.64940052 0.5409228        NA        NA        NA        NA
#>  [89,] 0.642143695 0.53258124        NA        NA        NA        NA        NA
#>  [90,] 0.519239072         NA        NA        NA        NA        NA        NA
#>  [91,]          NA         NA        NA        NA        NA        NA        NA
#>  [92,]          NA         NA        NA        NA        NA        NA        NA
#>  [93,]          NA         NA        NA        NA        NA        NA        NA
#>  [94,]          NA         NA        NA        NA        NA        NA        NA
#>  [95,]          NA         NA        NA        NA        NA        NA        NA
#>  [96,]          NA         NA        NA        NA        NA        NA        NA
#>  [97,]          NA         NA        NA        NA        NA        NA        NA
#>  [98,]          NA         NA        NA        NA        NA        NA        NA
#>  [99,]          NA         NA        NA        NA        NA        NA        NA
#> [100,]          NA         NA        NA        NA        NA        NA        NA
#>            [,87]     [,88]     [,89]     [,90]     [,91]     [,92]     [,93]
#>   [1,]        NA        NA        NA        NA        NA        NA        NA
#>   [2,]        NA        NA        NA        NA        NA        NA        NA
#>   [3,]        NA        NA        NA        NA        NA        NA        NA
#>   [4,]        NA        NA        NA        NA        NA        NA        NA
#>   [5,]        NA        NA        NA        NA        NA        NA        NA
#>   [6,]        NA        NA        NA        NA        NA        NA        NA
#>   [7,]        NA        NA        NA        NA        NA        NA        NA
#>   [8,]        NA        NA        NA        NA        NA        NA        NA
#>   [9,]        NA        NA        NA        NA        NA        NA        NA
#>  [10,]        NA        NA        NA        NA        NA        NA        NA
#>  [11,]        NA        NA        NA        NA        NA        NA        NA
#>  [12,]        NA        NA        NA        NA        NA        NA        NA
#>  [13,]        NA        NA        NA        NA        NA        NA        NA
#>  [14,]        NA        NA        NA        NA        NA        NA        NA
#>  [15,]        NA        NA        NA        NA        NA        NA        NA
#>  [16,]        NA        NA        NA        NA        NA        NA        NA
#>  [17,]        NA        NA        NA        NA        NA        NA        NA
#>  [18,] 4.4677256        NA        NA        NA        NA        NA        NA
#>  [19,] 4.2065084 4.4119431        NA        NA        NA        NA        NA
#>  [20,] 3.9469699 4.1680519 4.3600805        NA        NA        NA        NA
#>  [21,] 3.6949772 3.9255369 4.1321762 4.3073471        NA        NA        NA
#>  [22,] 3.4547376 3.6896268 3.9051422 4.0938818        NA        NA        NA
#>  [23,] 3.2289024 3.4641079 3.6837388 3.8807326 4.0483499        NA        NA
#>  [24,] 3.0187980 3.2514439 3.4714902 3.6723355 3.8475268 3.9912820        NA
#>  [25,] 2.8247239 3.0529872 3.2707993 3.4720698 3.6507459 3.8013041        NA
#>  [26,] 2.6462668 2.8692317 3.0831252 3.2823523 3.4613115 3.6148415 3.7386316
#>  [27,] 2.4825865 2.7000637 2.9091833 3.1047753 3.2816812 3.4351518 3.5612332
#>  [28,] 2.3326454 2.5449813 2.7491359 2.9402544 3.1135623 3.2647200 3.3901772
#>  [29,] 2.1953710 2.4032632 2.6027534 2.7891669 2.9580153 3.1053209 3.2279386
#>  [30,] 2.0697478 2.2740825 2.4695350 2.6514661 2.8155502 2.9580866 3.0762975
#>  [31,] 1.9548522 2.1565695 2.3487907 2.5267700 2.6862092 2.8235747 2.9363839
#>  [32,] 1.8498449 2.0498363 2.2396896 2.4144249 2.5696358 2.7018314 2.8087280
#>  [33,] 1.7539402 1.9529760 2.1412866 2.3135521 2.4651326 2.5924526 2.6933158
#>  [34,] 1.6663686 1.8650525 2.0525383 2.2230861 2.3717155 2.4946457 2.5896512
#>  [35,] 1.5863459 1.7850922 1.9723177 2.1418108 2.2881671 2.4072947 2.4968251
#>  [36,] 1.5130588 1.7120855 1.8994352 2.0684003 2.2130948 2.3290304 2.4135939
#>  [37,] 1.4456684 1.6450032 1.8326699 2.0014663 2.1449944 2.2583083 2.3384649
#>  [38,] 1.3833333 1.5828267 1.7708109 1.9396132 2.0823190 2.1934894 2.2697882
#>  [39,] 1.3252457 1.5245889 1.7127066 1.8814979 2.0235510 2.1329245 2.2058504
#>  [40,] 1.2706765 1.4694215 1.6573165 1.8258898 1.9672725 2.0750360 2.1449667
#>  [41,] 1.2190216 1.4166021 1.6037625 1.7717277 1.9122301 2.0183919 2.0855653
#>  [42,] 1.1698422 1.3655948 1.5513707 1.7181672 1.8573899 1.9617703 2.0262614
#>  [43,] 1.1228950 1.3160791 1.4997024 1.6646145 1.8019771 1.9042070 1.9659149
#>  [44,] 1.0781459 1.2679635 1.4485681 1.6107433 1.7454986 1.8450260 1.9036699
#>  [45,] 1.0357669 1.2213808 1.3980229 1.5564929 1.6877455 1.7838488 1.8389733
#>  [46,] 0.9961143 1.1766644 1.3483430 1.5020467 1.6287758 1.7205845 1.7715737
#>  [47,] 0.9596884 1.1343071 1.2999840 1.4477919 1.5688785 1.6553990 1.7014993
#>  [48,] 0.9270790 1.0949039 1.2535236 1.3942636 1.5085208 1.5886691 1.6290191
#>  [49,] 0.8988990 1.0590840 1.2095928 1.3420772 1.4482837 1.5209228 1.5545909
#>  [50,] 0.8757114 1.0274358 1.1688005 1.2918546 1.3887914 1.4527725 1.4788000
#>  [51,] 0.8579549 1.0004317 1.1316584 1.2441495 1.3306381 1.3848463 1.4022951
#>  [52,] 0.8458758 0.9783585 1.0985113 1.1993796 1.2743229 1.3177243 1.3257271
#>  [53,] 0.8394695 0.9612601 1.0694816 1.1577714 1.2201946 1.2518847 1.2496966
#>  [54,] 0.8384406 0.9488993 1.0444313 1.1193234 1.1684156 1.1876665 1.1747141
#>  [55,] 0.8421851 0.9407419 1.0229489 1.0837933 1.1189475 1.1252520 1.1011784
#>  [56,] 0.8497986 0.9359695 1.0043633 1.0507113 1.0715607 1.0646709 1.0293727
#>  [57,] 0.8601136 0.9335198 0.9877853 1.0194195 1.0258694 1.0058263 0.9594809
#>  [58,] 0.8717640 0.9321554 0.9721769 0.9891367 0.9813873 0.9485401 0.8916177
#>  [59,] 0.8832763 0.9305565 0.9564410 0.9590422 0.9376009 0.8926109 0.8258713
#>  [60,] 0.8931790 0.9274308 0.9395270 0.9283708 0.8940509 0.8378788 0.7623496
#>  [61,] 0.9001234 0.9216314 0.9205399 0.8965094 0.8504117 0.7842866 0.7012218
#>  [62,] 0.9030048 0.9122702 0.8988424 0.8630833 0.8065599 0.7319287 0.6427491
#>  [63,] 0.9010706 0.8988157 0.8741370 0.8280204 0.7626189 0.6810777 0.5872952
#>  [64,] 0.8940034 0.8811604 0.8465160 0.7915825 0.7189730 0.6321822 0.5353125
#>  [65,] 0.8819665 0.8596491 0.8164708 0.7543563 0.6762428 0.5858327 0.4873022
#>  [66,] 0.8656029 0.8350572 0.7848522 0.7171996 0.6352223 0.5426943 0.4437503
#>  [67,] 0.8459811 0.8085186 0.7527834 0.6811453 0.5967802 0.5034136 0.4050447
#>  [68,] 0.8244886 0.7814035 0.7215284 0.6472685 0.5617348 0.4685075 0.3713859
#>  [69,] 0.8026778 0.7551545 0.6923288 0.6165316 0.5307159 0.4382503 0.3427024
#>  [70,] 0.7820769 0.7310982 0.6662238 0.5896244 0.5040325 0.4125738 0.3185861
#>  [71,] 0.7639835 0.7102494 0.6438767 0.5668203 0.4815652 0.3909988 0.2982624
#>  [72,] 0.7492643 0.6931336 0.6254293 0.5478697 0.4627019 0.3726125 0.2806034
#>  [73,] 0.7381859 0.6796527 0.6104089 0.5319515 0.4463329 0.3561019 0.2641929
#>  [74,] 0.7303021 0.6690159 0.5977060 0.5176960 0.4309131 0.3398472 0.2474382
#>  [75,] 0.7244208 0.6597541 0.5856339 0.5032844 0.4145921 0.3220688 0.2287221
#>  [76,] 0.7186636 0.6498261 0.5720745 0.4866221 0.3954013 0.3010149        NA
#>  [77,] 0.7106234 0.6368123 0.5546968 0.4655679 0.3714784 0.2751661        NA
#>  [78,] 0.6976103 0.6181822 0.5312285 0.4381943 0.3413007        NA        NA
#>  [79,] 0.6769626 0.5916025 0.4997469 0.4030438        NA        NA        NA
#>  [80,] 0.6463865 0.5552512 0.4589492 0.3593441        NA        NA        NA
#>  [81,] 0.6042794 0.5080881 0.4083607        NA        NA        NA        NA
#>  [82,] 0.5499874 0.4500434        NA        NA        NA        NA        NA
#>  [83,] 0.4839556        NA        NA        NA        NA        NA        NA
#>  [84,]        NA        NA        NA        NA        NA        NA        NA
#>  [85,]        NA        NA        NA        NA        NA        NA        NA
#>  [86,]        NA        NA        NA        NA        NA        NA        NA
#>  [87,]        NA        NA        NA        NA        NA        NA        NA
#>  [88,]        NA        NA        NA        NA        NA        NA        NA
#>  [89,]        NA        NA        NA        NA        NA        NA        NA
#>  [90,]        NA        NA        NA        NA        NA        NA        NA
#>  [91,]        NA        NA        NA        NA        NA        NA        NA
#>  [92,]        NA        NA        NA        NA        NA        NA        NA
#>  [93,]        NA        NA        NA        NA        NA        NA        NA
#>  [94,]        NA        NA        NA        NA        NA        NA        NA
#>  [95,]        NA        NA        NA        NA        NA        NA        NA
#>  [96,]        NA        NA        NA        NA        NA        NA        NA
#>  [97,]        NA        NA        NA        NA        NA        NA        NA
#>  [98,]        NA        NA        NA        NA        NA        NA        NA
#>  [99,]        NA        NA        NA        NA        NA        NA        NA
#> [100,]        NA        NA        NA        NA        NA        NA        NA
#>            [,94]     [,95]      [,96]      [,97]      [,98]     [,99] [,100]
#>   [1,]        NA        NA         NA         NA         NA        NA     NA
#>   [2,]        NA        NA         NA         NA         NA        NA     NA
#>   [3,]        NA        NA         NA         NA         NA        NA     NA
#>   [4,]        NA        NA         NA         NA         NA        NA     NA
#>   [5,]        NA        NA         NA         NA         NA        NA     NA
#>   [6,]        NA        NA         NA         NA         NA        NA     NA
#>   [7,]        NA        NA         NA         NA         NA        NA     NA
#>   [8,]        NA        NA         NA         NA         NA        NA     NA
#>   [9,]        NA        NA         NA         NA         NA        NA     NA
#>  [10,]        NA        NA         NA         NA         NA        NA     NA
#>  [11,]        NA        NA         NA         NA         NA        NA     NA
#>  [12,]        NA        NA         NA         NA         NA        NA     NA
#>  [13,]        NA        NA         NA         NA         NA        NA     NA
#>  [14,]        NA        NA         NA         NA         NA        NA     NA
#>  [15,]        NA        NA         NA         NA         NA        NA     NA
#>  [16,]        NA        NA         NA         NA         NA        NA     NA
#>  [17,]        NA        NA         NA         NA         NA        NA     NA
#>  [18,]        NA        NA         NA         NA         NA        NA     NA
#>  [19,]        NA        NA         NA         NA         NA        NA     NA
#>  [20,]        NA        NA         NA         NA         NA        NA     NA
#>  [21,]        NA        NA         NA         NA         NA        NA     NA
#>  [22,]        NA        NA         NA         NA         NA        NA     NA
#>  [23,]        NA        NA         NA         NA         NA        NA     NA
#>  [24,]        NA        NA         NA         NA         NA        NA     NA
#>  [25,]        NA        NA         NA         NA         NA        NA     NA
#>  [26,]        NA        NA         NA         NA         NA        NA     NA
#>  [27,] 3.6570142        NA         NA         NA         NA        NA     NA
#>  [28,] 3.4874159        NA         NA         NA         NA        NA     NA
#>  [29,] 3.3237839 3.3918550         NA         NA         NA        NA     NA
#>  [30,] 3.1685357 3.2343064         NA         NA         NA        NA     NA
#>  [31,] 3.0233968 3.0846287         NA         NA         NA        NA     NA
#>  [32,] 2.8894331 2.9444473 2.97541468         NA         NA        NA     NA
#>  [33,] 2.7670943 2.8147246 2.83845118         NA         NA        NA     NA
#>  [34,] 2.6562703 2.6958049 2.71105755 2.70577399         NA        NA     NA
#>  [35,] 2.5563581 2.5874757 2.59347741 2.57881391         NA        NA     NA
#>  [36,] 2.4663417 2.4890424 2.48541830 2.46056924         NA        NA     NA
#>  [37,] 2.3848812 2.3994174 2.38613495 2.35071445 2.29956311        NA     NA
#>  [38,] 2.3104105 2.3172181 2.29452439 2.24851280 2.18632586        NA     NA
#>  [39,] 2.2412379 2.2408708 2.20922889 2.15291475 2.07972760        NA     NA
#>  [40,] 2.1756461 2.1687154 2.12874160 2.06266129 1.97884395        NA     NA
#>  [41,] 2.1119856 2.0991052 2.05150974 1.97638683 1.88258504 1.7793733     NA
#>  [42,] 2.0487582 2.0304978 1.97603024 1.89271673 1.78979189 1.6771036     NA
#>  [43,] 1.9846840 1.9615316 1.90093320 1.81035477 1.69932482 1.5781619     NA
#>  [44,] 1.9187518 1.8910854 1.82504963 1.72815670 1.61014026 1.4816783     NA
#>  [45,] 1.8502482 1.8183184 1.74746078 1.64518723 1.52135272 1.3868828     NA
#>  [46,] 1.7787657 1.7426888 1.66752774 1.56075845 1.43228011 1.2931553     NA
#>  [47,] 1.7041917 1.6639540 1.58490153 1.47444960 1.34247146 1.2000593     NA
#>  [48,] 1.6266790 1.5821511 1.49951460 1.38610872 1.25171748 1.1073596     NA
#>  [49,] 1.5466015 1.4975625 1.41155659 1.29583810 1.16004508 1.0150252     NA
#>  [50,] 1.4645010 1.4106706 1.32143742 1.20396638 1.06769814 0.9232180     NA
#>  [51,] 1.3810279 1.3221053 1.22974209 1.11101082 0.97510758 0.8322705     NA
#>  [52,] 1.2968842 1.2325900 1.13718140 1.01763349 0.88285372 0.7426554     NA
#>  [53,] 1.2127704 1.1428913 1.04454318 0.92459554 0.79162480 0.6549496     NA
#>  [54,] 1.1293453 1.0537749 0.95264778 0.83271283 0.70217456 0.5697951     NA
#>  [55,] 1.0471975 0.9659735 0.86231091 0.74281610 0.61528185 0.4878611     NA
#>  [56,] 0.9668342 0.8801660 0.77431550 0.65571727 0.53171417 0.4098072     NA
#>  [57,] 0.8886842 0.7969691 0.68939299 0.57218289 0.45219636 0.3362512     NA
#>  [58,] 0.8131145 0.7169392 0.60821291 0.49291406 0.37738455 0.2677406     NA
#>  [59,] 0.7404555 0.6405821 0.53137825 0.41853160 0.30784486 0.2047285     NA
#>  [60,] 0.6710286 0.5683636 0.45942335 0.34956408 0.24403576 0.1475545     NA
#>  [61,] 0.6051704 0.5007186 0.39281059 0.28643664 0.18629277        NA     NA
#>  [62,] 0.5432469 0.4380523 0.33192256 0.22945825 0.13481451        NA     NA
#>  [63,] 0.4856512 0.3807292 0.27704741 0.17880654 0.08964981        NA     NA
#>  [64,] 0.4327830 0.3290503 0.22835686 0.13451028 0.05068632        NA     NA
#>  [65,] 0.3850079 0.2832169 0.18587828 0.09643117         NA        NA     NA
#>  [66,] 0.3426017 0.2432868 0.14946465 0.06424830         NA        NA     NA
#>  [67,] 0.3056841 0.2091269 0.11876784 0.03744960         NA        NA     NA
#>  [68,] 0.2741534 0.1803741 0.09322207         NA         NA        NA     NA
#>  [69,] 0.2476326 0.1564096 0.07204407         NA         NA        NA     NA
#>  [70,] 0.2254392 0.1363588         NA         NA         NA        NA     NA
#>  [71,] 0.2065879 0.1191211         NA         NA         NA        NA     NA
#>  [72,] 0.1898345 0.1034327         NA         NA         NA        NA     NA
#>  [73,] 0.1737598        NA         NA         NA         NA        NA     NA
#>  [74,] 0.1568892        NA         NA         NA         NA        NA     NA
#>  [75,]        NA        NA         NA         NA         NA        NA     NA
#>  [76,]        NA        NA         NA         NA         NA        NA     NA
#>  [77,]        NA        NA         NA         NA         NA        NA     NA
#>  [78,]        NA        NA         NA         NA         NA        NA     NA
#>  [79,]        NA        NA         NA         NA         NA        NA     NA
#>  [80,]        NA        NA         NA         NA         NA        NA     NA
#>  [81,]        NA        NA         NA         NA         NA        NA     NA
#>  [82,]        NA        NA         NA         NA         NA        NA     NA
#>  [83,]        NA        NA         NA         NA         NA        NA     NA
#>  [84,]        NA        NA         NA         NA         NA        NA     NA
#>  [85,]        NA        NA         NA         NA         NA        NA     NA
#>  [86,]        NA        NA         NA         NA         NA        NA     NA
#>  [87,]        NA        NA         NA         NA         NA        NA     NA
#>  [88,]        NA        NA         NA         NA         NA        NA     NA
#>  [89,]        NA        NA         NA         NA         NA        NA     NA
#>  [90,]        NA        NA         NA         NA         NA        NA     NA
#>  [91,]        NA        NA         NA         NA         NA        NA     NA
#>  [92,]        NA        NA         NA         NA         NA        NA     NA
#>  [93,]        NA        NA         NA         NA         NA        NA     NA
#>  [94,]        NA        NA         NA         NA         NA        NA     NA
#>  [95,]        NA        NA         NA         NA         NA        NA     NA
#>  [96,]        NA        NA         NA         NA         NA        NA     NA
#>  [97,]        NA        NA         NA         NA         NA        NA     NA
#>  [98,]        NA        NA         NA         NA         NA        NA     NA
#>  [99,]        NA        NA         NA         NA         NA        NA     NA
#> [100,]        NA        NA         NA         NA         NA        NA     NA
#> 
#> attr(,"class")
#> [1] "list"        "sph_density"