Spherical density estimation
Usage
density(x, ...)
# S3 method for class 'spherical'
density(
x,
kamb = TRUE,
FUN = exponential_kamb,
ngrid = 128L,
sigma = 3,
vmf_hw = NULL,
vmf_optimal = c("cross", "rot"),
weights = NULL,
upper.hem = FALSE,
r = 1
)Arguments
- x
object of class
"Vec3()","Line()", or"Plane()".- ...
parameters passed to
stereo_point(),stereo_smallcircle(),stereo_greatcircle(), orfault_plot()- kamb
logical. Whether to use the von Mises-Fisher kernel density estimation (
FALSE) or Kamb's method (TRUE, the default).- FUN
density estimation function if
kamb=TRUE; one ofexponential_kamb()(the default), kamb_count, andschmidt_count().- ngrid
integer. Gridzise. 128 by default.
- sigma
numeric. Radius for Kamb circle used for counting. 3 by default.
- vmf_hw
numeric. Kernel bandwidth in degree.
- vmf_optimal
character. Calculates an optimal kernel bandwidth using the cross-validation algorithm (
'cross') or the rule-of-thumb ('rot') suggested by Garcia-Portugues (2013). Ignored whenvmf_hwis specified.- weights
(optional) numeric vector of length of
azi. The relative weight to be applied to each input measurement. The array will be normalized to sum to 1, so absolute value of theweightsdo not affect the result. Defaults toNULL- 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, ngrid = 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 0.00000000
#> [28,] NA NA NA NA NA NA 0.00000000
#> [29,] NA NA NA NA NA 0.000000000 0.00000000
#> [30,] NA NA NA NA NA 0.000000000 0.00000000
#> [31,] NA NA NA NA NA 0.000000000 0.00000000
#> [32,] NA NA NA NA 0.0000000 0.000000000 0.00000000
#> [33,] NA NA NA NA 0.0000000 0.000000000 0.00000000
#> [34,] NA NA NA 0.00000000 0.0000000 0.000000000 0.00000000
#> [35,] NA NA NA 0.00000000 0.0000000 0.000000000 0.00000000
#> [36,] NA NA NA 0.00000000 0.0000000 0.000000000 0.00000000
#> [37,] NA NA 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000
#> [38,] NA NA 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000
#> [39,] NA NA 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000
#> [40,] NA NA 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000
#> [41,] NA 0.00000000 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000
#> [42,] NA 0.00000000 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000
#> [43,] NA 0.00000000 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000
#> [44,] NA 0.00000000 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000
#> [45,] NA 0.00000000 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000
#> [46,] NA 0.00000000 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000
#> [47,] NA 0.00000000 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000
#> [48,] NA 0.00000000 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000
#> [49,] NA 0.00000000 0.00000000 0.00000000 0.0000000 0.003331994 0.02674688
#> [50,] NA 0.00000000 0.00000000 0.01962189 0.0500502 0.080015311 0.10882148
#> [51,] NA 0.01848928 0.05641172 0.09396358 0.1311915 0.167747009 0.20276281
#> [52,] NA 0.08646801 0.13238566 0.17787799 0.2229060 0.266989822 0.30906933
#> [53,] NA 0.16200743 0.21703082 0.27155247 0.3254206 0.378001037 0.42801997
#> [54,] NA 0.24503040 0.31030337 0.37497313 0.4387441 0.500802984 0.55964323
#> [55,] NA 0.33528079 0.41195910 0.48790575 0.5626460 0.635161364 0.70369478
#> [56,] NA 0.43231605 0.52154365 0.60988444 0.6966446 0.780572850 0.85964524
#> [57,] NA 0.53550667 0.63839029 0.74020854 0.8400041 0.936262647 1.02667869
#> [58,] NA 0.64404269 0.76162527 0.87794777 0.9917399 1.101191808 1.20370187
#> [59,] NA 0.75694660 0.89018013 1.02195473 1.1506330 1.274073262 1.38936285
#> [60,] NA 0.87309177 1.02280987 1.17088357 1.3152499 1.453394640 1.58207712
#> [61,] NA NA 1.15811560 1.32321305 1.4839671 1.637445426 1.78005841
#> [62,] NA NA 1.29457039 1.47727227 1.6549977 1.824345682 1.98135079
#> [63,] NA NA 1.43054726 1.63126776 1.8264183 2.012073800 2.18385911
#> [64,] NA NA 1.56434875 1.78331131 1.9961947 2.198491487 2.38537494
#> [65,] NA NA NA 1.93144891 2.1622069 2.381365477 2.58359672
#> [66,] NA NA NA 2.07369210 2.3222751 2.558387198 2.77614451
#> [67,] NA NA NA 2.20805424 2.4741894 2.727193535 2.96057201
#> [68,] NA NA NA NA 2.6157472 2.885393567 3.13438077
#> [69,] NA NA NA NA 2.7448021 3.030607105 3.29504374
#> [70,] NA NA NA NA NA 3.160520603 3.44004574
#> [71,] NA NA NA NA NA 3.272963965 3.56694807
#> [72,] NA NA NA NA NA 3.366007821 3.67348094
#> [73,] NA NA NA NA NA NA 3.75766251
#> [74,] NA NA NA NA NA NA 3.81793575
#> [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
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#> [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 0.000000000
#> [20,] NA NA NA NA 0.000000000 0.000000000
#> [21,] NA NA NA 0.000000000 0.000000000 0.000000000
#> [22,] NA NA NA 0.000000000 0.000000000 0.000000000
#> [23,] NA NA 0.00000000 0.000000000 0.000000000 0.000000000
#> [24,] NA 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [25,] NA 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [26,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [27,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [28,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [29,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [30,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [31,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [32,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [33,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [34,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [35,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [36,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [37,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [38,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [39,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [40,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [41,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [42,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [43,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [44,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [45,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [46,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [47,] 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000
#> [48,] 0.00000000 0.00000000 0.00000000 0.006951047 0.008679624 0.004677956
#> [49,] 0.04837153 0.06698053 0.08123801 0.089909939 0.092067512 0.087243737
#> [50,] 0.13532438 0.15805449 0.17542694 0.185991641 0.188672270 0.182949138
#> [51,] 0.23486403 0.26231256 0.28325168 0.295997406 0.299316302 0.292637072
#> [52,] 0.34751717 0.38030479 0.40528378 0.420521118 0.424618725 0.416956187
#> [53,] 0.47357845 0.51233947 0.54184711 0.559907699 0.564953678 0.556319412
#> [54,] 0.61307850 0.65845018 0.69298409 0.714218821 0.720415544 0.710868755
#> [55,] 0.76576103 0.81837239 0.85843180 0.883208205 0.890793286 0.880448448
#> [56,] 0.93107072 0.99153138 1.03760945 1.066308218 1.075555600 1.064588106
#> [57,] 1.10815273 1.17704224 1.22961824 1.262628778 1.273847955 1.262497030
#> [58,] 1.29586363 1.37372202 1.43325377 1.470968803 1.484501926 1.473070260
#> [59,] 1.49279263 1.58011282 1.64702993 1.689839591 1.706056482 1.694906342
#> [60,] 1.69729106 1.79451407 1.86921277 1.917498656 1.936790173 1.926336236
#> [61,] 1.90750708 2.01502083 2.09786136 2.151991667 2.174762356 2.165462067
#> [62,] 2.12142212 2.23956457 2.33087224 2.391199311 2.417860773 2.410203676
#> [63,] 2.33688528 2.46595238 2.56602339 2.632885127 2.663851978 2.658350072
#> [64,] 2.55164231 2.69190046 2.80101311 2.874739823 2.910430336 2.907611936
#> [65,] 2.76335664 2.91505864 3.03348982 3.114417455 3.155260766 3.155670466
#> [66,] 2.96962189 3.13302375 3.26106953 3.349559243 3.396010370 3.400217330
#> [67,] 3.16796731 3.34334224 3.48133954 3.577802176 3.630364740 3.638980523
#> [68,] 3.35586070 3.54350498 3.69184981 3.796771768 3.856026474 3.869731975
#> [69,] 3.53071575 3.73094061 3.89009663 4.004061607 4.070696188 4.090274934
#> [70,] 3.68991304 3.90301667 4.07350705 4.197206278 4.272040233 4.298412628
#> [71,] 3.83084435 4.05705993 4.23943546 4.373658202 4.457653685 4.491904195
#> [72,] 3.95098839 4.19040706 4.38518586 4.530782135 4.625031474 4.668418748
#> [73,] 4.04802169 4.30049453 4.50807203 4.665882320 4.771563443 4.825502744
#> [74,] 4.11996147 4.38499046 4.60552451 4.776275484 4.894569626 4.960578302
#> [75,] 4.16532845 4.44196269 4.67524545 4.859417454 4.991388886 5.070989461
#> [76,] NA 4.47006669 4.71540185 4.913081789 5.059526856 5.154108676
#> [77,] NA 4.46872619 4.72483594 4.935576660 5.096857911 5.207506627
#> [78,] NA NA 4.70325977 4.925972931 5.101862219 5.229175560
#> [79,] NA NA NA 4.884305185 5.073865115 5.217781585
#> [80,] NA NA NA 4.811701518 5.013235527 5.172907668
#> [81,] NA NA NA NA 4.921496611 5.095240247
#> [82,] NA NA NA NA NA 4.986652022
#> [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 0.00000000
#> [14,] NA NA NA NA 0.00000000 0.00000000
#> [15,] NA NA NA 0.000000000 0.00000000 0.00000000
#> [16,] NA NA 0.0000000 0.000000000 0.00000000 0.00000000
#> [17,] NA 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [18,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [19,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [20,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [21,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [22,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [23,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [24,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [25,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [26,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [27,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [28,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [29,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [30,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [31,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [32,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [33,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [34,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [35,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [36,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [37,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [38,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [39,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [40,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [41,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [42,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [43,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [44,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [45,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [46,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [47,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [48,] 0.00000000 0.00000000 0.0000000 0.000000000 0.00000000 0.00000000
#> [49,] 0.07551748 0.05751542 0.0343380 0.007427767 0.00000000 0.00000000
#> [50,] 0.16895563 0.14747713 0.1198599 0.087852091 0.05340705 0.01848143
#> [51,] 0.27616051 0.25085479 0.2183452 0.180724565 0.14032003 0.09945462
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#> [56,] 1.03414415 0.98643859 0.9249341 0.853960226 0.77825054 0.70247274
#> [57,] 1.22945736 1.17724225 1.1097437 1.031809207 0.94872728 0.86570451
#> [58,] 1.43770657 1.38122990 1.3079688 1.223296601 1.13306526 1.04302830
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#> [60,] 1.88749106 1.82368786 1.7401224 1.643211492 1.53992640 1.43710898
#> [61,] 2.12561227 2.05894561 1.9710749 1.868918422 1.75998728 1.65165017
#> [62,] 2.36992001 2.30103171 2.2095492 2.102868924 1.98901838 1.87587273
#> [63,] 2.61824509 2.54783529 2.4535043 2.343096759 2.22512656 2.10794919
#> [64,] 2.86832746 2.79713680 2.7007685 2.587479803 2.46623547 2.34584019
#> [65,] 3.11787036 3.04666638 2.9491010 2.833804434 2.71015192 2.58736216
#> [66,] 3.36458841 3.29415966 3.1962548 3.079834890 2.95464108 2.83026767
#> [67,] 3.60624397 3.53740482 3.4400348 3.323381200 3.19750432 3.07233250
#> [68,] 3.84066610 3.77427426 3.6783421 3.562357806 3.43665141 3.31144132
#> [69,] 4.06574806 4.00273493 3.9091996 3.794824309 3.67015784 3.54566183
#> [70,] 4.27942232 4.22083380 4.1307507 4.019000494 3.89629744 3.77329644
#> [71,] 4.47961593 4.42665844 4.3412297 4.233250045 4.11354251 3.99290125
#> [72,] 4.66419455 4.61827771 4.5389052 4.436031497 4.32052675 4.20326474
#> [73,] 4.83090843 4.79367326 4.7220039 4.625820541 4.51597146 4.40334315
#> [74,] 4.97735782 4.95067804 4.8886286 4.801014309 4.69858244 4.59215584
#> [75,] 5.10099693 5.08694121 5.0366895 4.959834556 4.86693141 4.76865159
#> [76,] 5.19919357 5.19993976 5.1638696 5.100251344 5.01934279 4.93156399
#> [77,] 5.26935473 5.28705314 5.2676457 5.219950463 5.15380997 5.07928031
#> [78,] 5.30911772 5.34570857 5.3453792 5.316365056 5.26796586 5.20975126
#> [79,] 5.31659169 5.37359195 5.3944816 5.386784128 5.35912747 5.32046717
#> [80,] 5.29061931 5.36890391 5.4126430 5.428538105 5.42442459 5.40851965
#> [81,] 5.23101562 5.33062515 5.3981001 5.439245988 5.46100803 5.47075530
#> [82,] 5.13873488 5.25874486 5.3499010 5.417092671 5.46631666 5.50401212
#> [83,] 5.01591975 5.15440252 5.2681194 5.361092577 5.43836693 5.50541227
#> [84,] NA 5.01990241 5.1539711 5.271290742 5.37601827 5.47267013
#> [85,] NA NA 5.0097977 5.148858197 5.27916670 5.40436738
#> [86,] NA NA NA 4.996056010 5.14882909 5.30014923
#> [87,] NA NA NA NA 4.98710204 5.16081100
#> [88,] NA NA NA NA NA 4.98826883
#> [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 0.38706227 0.426197910
#> [10,] NA NA NA 0.24770724 0.28344391 0.319359708
#> [11,] NA 0.09703641 0.12799812 0.16007281 0.19297795 0.226466133
#> [12,] 6.299058e-05 0.02681475 0.05508087 0.08465634 0.11535378 0.147027902
#> [13,] 0.000000e+00 0.00000000 0.00000000 0.02063905 0.04959132 0.079900998
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#> [51,] 6.023533e-02 0.02439107 0.00000000 0.00000000 0.00000000 0.000000000
#> [52,] 1.475109e-01 0.10635007 0.07070756 0.04142535 0.01875112 0.002402752
#> [53,] 2.475571e-01 0.20081603 0.16058037 0.12781145 0.10277832 0.085131966
#> [54,] 3.611150e-01 0.30861581 0.26369446 0.22743872 0.20013852 0.181370599
#> [55,] 4.887508e-01 0.43041489 0.38080274 0.34113384 0.31171793 0.292050534
#> [56,] 6.308151e-01 0.56667370 0.51245997 0.46952845 0.43820672 0.417902451
#> [57,] 7.874056e-01 0.71760573 0.65897741 0.61301103 0.58004892 0.559404485
#> [58,] 9.583335e-01 0.88313943 0.82038083 0.77168214 0.73739603 0.716735283
#> [59,] 1.143098e+00 1.06288662 0.99637461 0.94531562 0.91006680 0.889733855
#> [60,] 1.340868e+00 1.25612038 1.18631504 1.13332865 1.09751587 1.077868619
#> [61,] 1.550481e+00 1.46176566 1.38919605 1.33476416 1.29881436 1.280218145
#> [62,] 1.770456e+00 1.67840584 1.60365108 1.54828885 1.51264559 1.495466300
#> [63,] 1.999017e+00 1.90430826 1.82797419 1.77221039 1.73731925 1.721914715
#> [64,] 2.234152e+00 2.13747065 2.06016312 2.00451692 1.97080729 1.957515590
#> [65,] 2.473672e+00 2.37568882 2.29798546 2.24294053 2.21080387 2.199927603
#> [66,] 2.715302e+00 2.61664409 2.53906728 2.48504521 2.45481070 2.446596893
#> [67,] 2.956775e+00 2.85800565 2.78100055 2.72833681 2.70024669 2.694863457
#> [68,] 3.195926e+00 3.09754066 3.02146279 2.97038962 2.94457797 2.942090756
#> [69,] 3.430790e+00 3.33322143 3.25833909 3.20898061 3.18546086 3.185812880
#> [70,] 3.659668e+00 3.56331725 3.48983354 3.44221878 3.42088614 3.423889471
#> [71,] 3.881171e+00 3.78645698 3.71455527 3.66865443 3.64930968 3.654654268
#> [72,] 4.094215e+00 4.00164954 3.93156401 3.88735125 3.86975131 3.877039237
#> [73,] 4.297970e+00 4.20825205 4.14036150 4.09790491 4.08184326 4.090653758
#> [74,] 4.491766e+00 4.40588083 4.34081972 4.30039465 4.28581057 4.295798076
#> [75,] 4.674941e+00 4.59426759 4.53304346 4.49526040 4.48237084 4.493393197
#> [76,] 4.846680e+00 4.77307238 4.71717392 4.68310650 4.67254849 4.684816079
#> [77,] 5.005837e+00 4.94167362 4.89315031 4.86444446 4.85740973 4.871639512
#> [78,] 5.150788e+00 5.09896388 5.06045640 5.03939833 5.03773767 5.055289858
#> [79,] 5.279335e+00 5.24318489 5.21788697 5.20740786 5.21368021 5.236651308
#> [80,] 5.388693e+00 5.37183494 5.36337301 5.36697155 5.38441491 5.415660253
#> [81,] 5.475578e+00 5.48167640 5.49390212 5.51547439 5.54788164 5.590944735
#> [82,] 5.536392e+00 5.56885842 5.60556185 5.64913944 5.70063316 5.759568596
#> [83,] 5.567501e+00 5.62915276 5.69371755 5.76312967 5.83784466 5.916935175
#> [84,] 5.565560e+00 5.65828122 5.75331615 5.85180595 5.95350422 6.056889958
#> [85,] 5.527852e+00 5.65229501 5.77928568 5.90912331 6.04078131 6.172036170
#> [86,] 5.452587e+00 5.60795530 5.76698220 5.92912347 6.09254137 6.254245474
#> [87,] 5.339108e+00 5.52306295 5.71262684 5.90646472 6.10194988 6.295313518
#> [88,] 5.187997e+00 5.39669702 5.61367885 5.83692396 6.06309336 6.287684639
#> [89,] 5.001074e+00 5.22934486 5.46910720 5.71781481 5.97154435 6.225158802
#> [90,] NA 5.02293573 5.27955068 5.54828851 5.82481367 6.103501519
#> [91,] NA NA NA 5.32951571 5.62266360 5.920903770
#> [92,] NA NA NA NA 5.36729081 5.678277234
#> [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 1.012861460 1.05205791 1.08727560
#> [7,] NA 0.770396656 0.81252734 0.851710799 0.88783337 0.92097672
#> [8,] 0.588690662 0.629272439 0.66793183 0.704487568 0.73891978 0.77136608
#> [9,] 0.464697665 0.502234212 0.53859560 0.573700394 0.60759979 0.64046505
#> [10,] 0.355157983 0.390627311 0.42565999 0.460259373 0.49453337 0.52867332
#> [11,] 0.260350712 0.294526620 0.32898212 0.363797948 0.39913183 0.43518833
#> [12,] 0.179597648 0.213061512 0.24750190 0.283075315 0.31998711 0.35845181
#> [13,] 0.111593752 0.144773741 0.17961958 0.216364594 0.25526104 0.29653047
#> [14,] 0.054720310 0.087937396 0.12351401 0.161760800 0.20297464 0.24737901
#> [15,] 0.007293023 0.040797377 0.07736452 0.117379616 0.16117832 0.20897746
#> [16,] 0.000000000 0.001712803 0.03947135 0.081451794 0.12801827 0.17936892
#> [17,] 0.000000000 0.000000000 0.00829435 0.052341292 0.10173553 0.15664213
#> [18,] 0.000000000 0.000000000 0.00000000 0.028524808 0.08064023 0.13890518
#> [19,] 0.000000000 0.000000000 0.00000000 0.008567544 0.06309636 0.12428531
#> [20,] 0.000000000 0.000000000 0.00000000 0.000000000 0.04753788 0.11097121
#> [21,] 0.000000000 0.000000000 0.00000000 0.000000000 0.03251952 0.09729516
#> [22,] 0.000000000 0.000000000 0.00000000 0.000000000 0.01679163 0.08183787
#> [23,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.06353134
#> [24,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.04173553
#> [25,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.01627143
#> [26,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
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#> [29,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
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#> [38,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [39,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [40,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [41,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [42,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [43,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [44,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [45,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [46,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [47,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [48,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [49,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [50,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [51,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [52,] 0.000000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
#> [53,] 0.074015314 0.068191770 0.06617895 0.066378248 0.06719430 0.06714064
#> [54,] 0.170123411 0.164943023 0.16408529 0.165664100 0.16778947 0.16869134
#> [55,] 0.280953358 0.276738248 0.27737833 0.280675606 0.28441847 0.28652487
#> [56,] 0.407259920 0.404342449 0.40682290 0.412170937 0.41783037 0.42138250
#> [57,] 0.549535482 0.548245334 0.55289317 0.560600742 0.56844971 0.57366526
#> [58,] 0.707963517 0.708615852 0.71572858 0.726065561 0.73633503 0.74339326
#> [59,] 0.882379915 0.885266147 0.89510123 0.908286899 0.92115364 0.93018357
#> [60,] 1.072244192 1.077626520 1.09039580 1.106592941 1.12217328 1.13324742
#> [61,] 1.276622439 1.284732542 1.30060254 1.319918589 1.33826983 1.35140566
#> [62,] 1.494183934 1.505225273 1.52432309 1.546818611 1.56794890 1.58311910
#> [63,] 1.723213610 1.737365744 1.75978915 1.785492390 1.80937830 1.82652956
#> [64,] 1.961642857 1.979065315 2.00489420 2.033819171 2.06042851 2.07950717
#> [65,] 2.207101389 2.227934127 2.25723988 2.289403825 2.31871983 2.33970042
#> [66,] 2.456992617 2.481350272 2.51419897 2.549634669 2.58167629 2.60458783
#> [67,] 2.708594099 2.736552135 2.77299834 2.811756375 2.84658893 2.87153281
#> [68,] 2.959182664 2.990755257 3.03082438 3.072961908 3.11069316 3.13784625
#> [69,] 3.206180772 3.241292706 3.28495256 3.330507072 3.37126538 3.40086368
#> [70,] 3.447316611 3.485774213 3.53289923 3.581849240 3.62574358 3.65804429
#> [71,] 3.680785632 3.722254422 3.77258960 3.824807701 3.87187350 3.90709710
#> [72,] 3.905396361 3.949395039 4.00252938 4.057737149 4.10787606 4.14613526
#> [73,] 4.120679323 4.166600231 4.22196131 4.279698438 4.33262437 4.37385122
#> [74,] 4.326935778 4.374100606 4.43098192 4.490603232 4.54580972 4.58969616
#> [75,] 4.525203877 4.572959667 4.63058976 4.691302849 4.74806717 4.79403649
#> [76,] 4.717124725 4.764979266 4.82263654 4.883588588 4.94102556 4.98825105
#> [77,] 4.904700232 4.952488099 5.00965752 5.070072891 5.12724527 5.17472784
#> [78,] 5.089948356 5.138010189 5.19456875 5.253929426 5.31001270 5.35672110
#> [79,] 5.274478277 5.323827903 5.38023614 5.438486337 5.49297444 5.53804053
#> [80,] 5.459026107 5.511474561 5.56894338 5.626689705 5.67961660 5.72256536
#> [81,] 5.643007725 5.701212002 5.76181004 5.820481271 5.87262351 5.91360592
#> [82,] 5.824155594 5.891564542 5.95823255 6.020161443 6.07318175 6.11317039
#> [83,] 5.998307302 6.078988003 6.15543514 6.223829657 6.28032303 6.32122812
#> [84,] 6.159402492 6.257747091 6.34821914 6.427003116 6.49041662 6.53508620
#> [85,] 6.299721230 6.420054260 6.52898381 6.622506456 6.69692105 6.74900341
#> [86,] 6.410363098 6.556489298 6.68806000 6.800696442 6.89048194 6.95414993
#> [87,] 6.481927802 6.656675754 6.81435194 6.950039238 7.05941778 7.13897932
#> [88,] 6.505323024 6.710146403 6.89623074 7.058000174 7.19057375 7.29001623
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#> [86,] 6.98918036 6.99381714 6.96702994 6.908447343 6.81828690 6.697300984
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#> [92,] 7.44214673 7.55057470 7.61018146 7.620443977 7.58230985 7.498013303
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#> [94,] 6.99508072 7.14885804 7.25417422 7.309238693 7.31392364 7.269634042
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#> [96,] 6.20592360 6.39391238 6.53858839 6.636745316 6.68685090 6.689000795
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#> [98,] NA NA NA NA NA 5.791227513
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#> [100,] NA NA NA NA NA NA
#> [,38] [,39] [,40] [,41] [,42] [,43]
#> [1,] NA NA NA NA NA NA
#> [2,] NA NA NA 2.14490020 2.18273455 2.22863839
#> [3,] 1.84835274 1.87069909 1.89576894 1.92524791 1.96076040 2.00383549
#> [4,] 1.63914774 1.66083679 1.68533361 1.71402298 1.74821979 1.78915254
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#> [21,] 0.64886759 0.71569092 0.77221412 0.81671749 0.84816501 0.86631754
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#> [23,] 0.59500494 0.65628357 0.70681418 0.74502423 0.77002133 0.78168871
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#> [29,] 0.18308650 0.21218148 0.23420020 0.24844008 0.25459363 0.25278093
#> [30,] 0.10361935 0.12757220 0.14540730 0.15655623 0.16078610 0.15822437
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#> [61,] 1.07159981 0.97328808 0.86583462 0.75257921 0.63698474 0.52240637
#> [62,] 1.27607915 1.16703267 1.04751614 0.92117702 0.79182339 0.66317086
#> [63,] 1.49249004 1.37283438 1.24134877 1.10196096 0.95879941 0.81592044
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#> [67,] 2.44556011 2.28862966 2.11448607 1.92777244 1.73349376 1.53670382
#> [68,] 2.69733164 2.53327482 2.35071997 2.15437211 1.94933458 1.74079688
#> [69,] 2.95109868 2.78110011 2.59134082 2.38654151 2.17185625 1.95256519
#> [70,] 3.20508298 3.03044152 2.83479186 2.62282651 2.39970630 2.17076120
#> [71,] 3.45742199 3.27951675 3.07936636 2.86159409 2.63132786 2.39391196
#> [72,] 3.70616972 3.52641495 3.32319121 3.10101387 2.86494272 2.62030615
#> [73,] 3.94934507 3.76913168 3.56425272 3.33907918 3.09857098 2.84801499
#> [74,] 4.18504325 4.00566623 3.80048270 3.57368470 3.33010324 3.07496093
#> [75,] 4.41161462 4.23418838 4.02991332 3.80277040 3.55743446 3.29904235
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#> [81,] 5.57622603 5.41397094 5.22343929 5.00712041 4.76841996 4.51155281
#> [82,] 5.75712933 5.59416599 5.40359640 5.18777550 4.94994601 4.69415686
#> [83,] 5.94341329 5.77818022 5.58609799 5.36947660 5.13145889 4.87596313
#> [84,] 6.13743330 5.96855004 5.77351869 5.55470995 5.31524901 5.05897886
#> [85,] 6.33942674 6.16594673 5.96680963 5.74455996 5.50240109 5.24417392
#> [86,] 6.54674842 6.36839249 6.16451755 5.93795107 5.69207548 5.43081462
#> [87,] 6.75340391 6.57073765 6.36222925 6.13108170 5.88095122 5.61593282
#> [88,] 6.95002236 6.76454548 6.55238846 6.31719373 6.06296814 5.79405821
#> [89,] 7.12434521 6.93847320 6.72458172 6.48677829 6.22946827 5.95731106
#> [90,] 7.26221481 7.07915033 6.86630855 6.62824385 6.36977089 6.09589427
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#> [98,] 5.79507817 5.75789430 5.68236144 5.57216657 5.43176478 5.26613975
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#> [,44] [,45] [,46] [,47] [,48] [,49]
#> [1,] NA NA NA NA NA NA
#> [2,] 2.28428233 2.35117377 2.43063483 2.52378690 2.63153941 2.75458093
#> [3,] 2.05588317 2.11817919 2.19185598 2.27789701 2.37713201 2.49023115
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#> [26,] 2.87080109 3.01102133 3.156983907 3.30921886 3.46687873 3.62737134
#> [27,] 2.60881920 2.74104692 2.878861514 3.02338661 3.17460532 3.33091419
#> [28,] 2.34179670 2.46649132 2.596481076 2.73330336 2.87759896 3.02861817
#> [29,] 2.07385291 2.19137451 2.313865532 2.44311570 2.58025134 2.72522201
#> [30,] 1.80935547 1.91992034 2.035166469 2.15700125 2.28687839 2.42528873
#> [31,] 1.55261422 1.65629231 1.764441315 1.87898244 2.00156126 2.13306124
#> [32,] 1.30759740 1.40434120 1.505436271 1.61274433 1.72799446 1.85233206
#> [33,] 1.07769800 1.16739053 1.261397074 1.36147403 1.46935334 1.58633447
#> [34,] 0.86556861 0.94807834 1.034925033 1.12773644 1.22819224 1.33766215
#> [35,] 0.67303298 0.74826536 0.827888972 0.91339639 1.00638135 1.10822282
#> [36,] 0.50107221 0.56901056 0.641396188 0.71959117 0.80508627 0.89922834
#> [37,] 0.34987574 0.41060736 0.475818543 0.54675171 0.62478934 0.71122063
#> [38,] 0.21894163 0.27266846 0.330864332 0.39466533 0.46534772 0.54412913
#> [39,] 0.10720875 0.15424372 0.205683211 0.26256997 0.32607998 0.39735330
#> [40,] 0.01320315 0.05395547 0.098990173 0.14926774 0.20587108 0.26986165
#> [41,] 0.00000000 0.00000000 0.009195283 0.05324596 0.10328564 0.16029849
#> [42,] 0.00000000 0.00000000 0.000000000 0.00000000 0.01667967 0.06709014
#> [43,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [44,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [45,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [46,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [47,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [48,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [49,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [50,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [51,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [52,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [53,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [54,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [55,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [56,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [57,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [58,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [59,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [60,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [61,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [62,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [63,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [64,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [65,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [66,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [67,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [68,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [69,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [70,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [71,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [72,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [73,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [74,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [75,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [76,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [77,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [78,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [79,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 NA
#> [80,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 NA
#> [81,] 0.00000000 0.00000000 0.000000000 0.00000000 NA NA
#> [82,] 0.00000000 0.00000000 0.000000000 NA NA NA
#> [83,] 0.00000000 0.00000000 NA NA NA NA
#> [84,] 0.00000000 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
#> [,92] [,93] [,94] [,95] [,96] [,97]
#> [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 NA
#> [20,] NA NA NA NA NA NA
#> [21,] NA NA NA NA NA NA
#> [22,] NA NA NA NA NA NA
#> [23,] NA NA NA NA NA NA
#> [24,] 4.33721102 NA NA NA NA NA
#> [25,] 4.07074075 NA NA NA NA NA
#> [26,] 3.78625657 3.93745887 NA NA NA NA
#> [27,] 3.48889734 3.64339677 3.78788656 NA NA NA
#> [28,] 3.18389924 3.33921209 3.48880398 NA NA NA
#> [29,] 2.87641147 3.03047588 3.18246897 3.32624204 NA NA
#> [30,] 2.57133080 2.72246726 2.87454350 3.02208401 NA NA
#> [31,] 2.27315759 2.42001585 2.57022204 2.71898171 NA NA
#> [32,] 1.98587552 2.12737915 2.27409427 2.42188208 2.56556670 NA
#> [33,] 1.71285852 1.84815480 1.99005178 2.13501760 2.27843926 NA
#> [34,] 1.45680762 1.58522742 1.72123591 1.86184551 2.00297946 2.13987085
#> [35,] 1.21972014 1.34074928 1.47002316 1.60503023 1.74218965 1.87719895
#> [36,] 1.00289162 1.11615252 1.23804393 1.36646265 1.49827646 1.62962352
#> [37,] 0.80694892 0.91219003 1.02622943 1.14730936 1.27269723 1.39894099
#> [38,] 0.63191050 0.72900030 0.83488105 0.94808486 1.06623159 1.18624525
#> [39,] 0.47726795 0.56619052 0.66375617 0.76873947 0.87906966 0.99201317
#> [40,] 0.34208182 0.42293147 0.51216374 0.60875627 0.71090970 0.81620106
#> [41,] 0.22508394 0.29805750 0.37906364 0.46725083 0.56105829 0.65834458
#> [42,] 0.12477909 0.19016529 0.26316397 0.34306817 0.42852760 0.51765633
#> [43,] 0.03953997 0.09770596 0.16301149 0.23487265 0.31212556 0.39311642
#> [44,] 0.00000000 0.01906653 0.07707175 0.14122755 0.21053552 0.28355304
#> [45,] 0.00000000 0.00000000 0.00379637 0.06066217 0.12238398 0.18771109
#> [46,] 0.00000000 0.00000000 0.00000000 0.00000000 0.04629523 0.10430824
#> [47,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.03207857
#> [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 0.00000000
#> [67,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#> [68,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 NA
#> [69,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 NA
#> [70,] 0.00000000 0.00000000 0.00000000 0.00000000 NA NA
#> [71,] 0.00000000 0.00000000 0.00000000 0.00000000 NA NA
#> [72,] 0.00000000 0.00000000 0.00000000 0.00000000 NA NA
#> [73,] 0.00000000 0.00000000 0.00000000 NA NA NA
#> [74,] 0.00000000 0.00000000 0.00000000 NA NA NA
#> [75,] 0.00000000 0.00000000 NA NA NA NA
#> [76,] 0.00000000 NA NA NA NA NA
#> [77,] 0.00000000 NA NA NA NA NA
#> [78,] NA NA NA NA NA NA
#> [79,] NA NA NA NA NA NA
#> [80,] NA NA NA NA NA NA
#> [81,] NA NA NA NA NA NA
#> [82,] NA NA NA NA NA NA
#> [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
#> [,98] [,99] [,100]
#> [1,] NA NA NA
#> [2,] NA NA NA
#> [3,] NA NA NA
#> [4,] NA NA NA
#> [5,] NA NA NA
#> [6,] NA NA NA
#> [7,] NA NA NA
#> [8,] NA NA NA
#> [9,] NA NA NA
#> [10,] NA NA NA
#> [11,] NA NA NA
#> [12,] NA NA NA
#> [13,] NA NA NA
#> [14,] NA NA NA
#> [15,] NA NA NA
#> [16,] NA NA NA
#> [17,] NA NA NA
#> [18,] NA NA NA
#> [19,] NA NA NA
#> [20,] NA NA NA
#> [21,] NA NA NA
#> [22,] NA NA NA
#> [23,] NA NA NA
#> [24,] NA NA NA
#> [25,] NA NA NA
#> [26,] NA NA NA
#> [27,] NA NA NA
#> [28,] NA NA NA
#> [29,] NA NA NA
#> [30,] NA NA NA
#> [31,] NA NA NA
#> [32,] NA NA NA
#> [33,] NA NA NA
#> [34,] NA NA NA
#> [35,] NA NA NA
#> [36,] NA NA NA
#> [37,] 1.52225277 NA NA
#> [38,] 1.30470595 NA NA
#> [39,] 1.10449412 NA NA
#> [40,] 0.92187392 NA NA
#> [41,] 0.75664902 0.85352253 NA
#> [42,] 0.60826705 0.69818064 NA
#> [43,] 0.47591064 0.55857974 NA
#> [44,] 0.35857895 0.43391737 NA
#> [45,] 0.25515775 0.32324366 NA
#> [46,] 0.16447728 0.22552139 NA
#> [47,] 0.08535800 0.13967432 NA
#> [48,] 0.01664508 0.06462446 NA
#> [49,] 0.00000000 0.00000000 NA
#> [50,] 0.00000000 0.00000000 NA
#> [51,] 0.00000000 0.00000000 NA
#> [52,] 0.00000000 0.00000000 NA
#> [53,] 0.00000000 0.00000000 NA
#> [54,] 0.00000000 0.00000000 NA
#> [55,] 0.00000000 0.00000000 NA
#> [56,] 0.00000000 0.00000000 NA
#> [57,] 0.00000000 0.00000000 NA
#> [58,] 0.00000000 0.00000000 NA
#> [59,] 0.00000000 0.00000000 NA
#> [60,] 0.00000000 0.00000000 NA
#> [61,] 0.00000000 NA NA
#> [62,] 0.00000000 NA NA
#> [63,] 0.00000000 NA NA
#> [64,] 0.00000000 NA NA
#> [65,] NA NA NA
#> [66,] NA NA NA
#> [67,] NA NA NA
#> [68,] NA NA NA
#> [69,] NA NA NA
#> [70,] NA NA NA
#> [71,] NA NA NA
#> [72,] NA NA NA
#> [73,] NA NA NA
#> [74,] NA NA NA
#> [75,] NA NA NA
#> [76,] NA NA NA
#> [77,] NA NA NA
#> [78,] NA NA NA
#> [79,] NA NA NA
#> [80,] NA NA NA
#> [81,] NA NA NA
#> [82,] NA NA NA
#> [83,] NA NA NA
#> [84,] NA NA NA
#> [85,] NA NA NA
#> [86,] NA NA NA
#> [87,] NA NA NA
#> [88,] NA NA NA
#> [89,] NA NA NA
#> [90,] NA NA NA
#> [91,] NA NA NA
#> [92,] NA NA NA
#> [93,] NA NA NA
#> [94,] NA NA NA
#> [95,] NA NA NA
#> [96,] NA NA NA
#> [97,] NA NA NA
#> [98,] NA NA NA
#> [99,] NA NA NA
#> [100,] NA NA NA
#>
#> attr(,"class")
#> [1] "list" "spherical.density"