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 ofexponential_kamb()(the default), kamb_count, andschmidt_count().- n
integer. Grid size.
128by 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 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, 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 0.4536673
#> [28,] NA NA NA NA NA NA 0.4785302
#> [29,] NA NA NA NA NA 0.5710387 0.5049273
#> [30,] NA NA NA NA NA 0.5953071 0.5313398
#> [31,] NA NA NA NA NA 0.6184162 0.5562353
#> [32,] NA NA NA NA 0.6955995 0.6389269 0.5781639
#> [33,] NA NA NA NA 0.7105510 0.6555357 0.5958515
#> [34,] NA NA NA 0.7694976 0.7208868 0.6671677 0.6082830
#> [35,] NA NA NA 0.7732334 0.7258134 0.6730570 0.6147706
#> [36,] NA NA NA 0.7714713 0.7248844 0.6728086 0.6150036
#> [37,] NA NA 0.8051125 0.7641273 0.7180516 0.6664385 0.6090769
#> [38,] NA NA 0.7924347 0.7515210 0.7056910 0.6543912 0.5974975
#> [39,] NA NA 0.7754626 0.7343848 0.6886053 0.6375328 0.5811716
#> [40,] NA NA 0.7552424 0.7138490 0.6680010 0.6171232 0.5613725
#> [41,] NA 0.7713889 0.7331640 0.6914032 0.6454450 0.5947685 0.5396934
#> [42,] NA 0.7497398 0.7109070 0.6688364 0.6228016 0.5723588 0.5179888
#> [43,] NA 0.7295419 0.6903686 0.6481612 0.6021553 0.5519937 0.4983076
#> [44,] NA 0.7126701 0.6735776 0.6315257 0.5857243 0.5359005 0.4828199
#> [45,] NA 0.7010313 0.6625994 0.6211173 0.5757667 0.5263479 0.4737415
#> [46,] NA 0.6964682 0.6594376 0.6190637 0.5744856 0.5255581 0.4732569
#> [47,] NA 0.7006645 0.6659351 0.6273350 0.5839354 0.5356204 0.4834414
#> [48,] NA 0.7150545 0.6836809 0.6476507 0.6059315 0.5584073 0.5061859
#> [49,] NA 0.7407413 0.7139250 0.6813939 0.6419676 0.5954953 0.5431230
#> [50,] NA 0.7784283 0.7575062 0.7295378 0.6931419 0.6480938 0.5955573
#> [51,] NA 0.8283669 0.8147953 0.7925854 0.7600954 0.7169815 0.6644027
#> [52,] NA 0.8903239 0.8856563 0.8705265 0.8429643 0.8024559 0.7501270
#> [53,] NA 0.9635702 0.9694297 0.9628139 0.9413505 0.9042969 0.8527102
#> [54,] NA 1.0468930 1.0649375 1.0683617 1.0543114 1.0217486 0.9716170
#> [55,] NA 1.1386316 1.1705137 1.1855671 1.1803726 1.1535218 1.1057890
#> [56,] NA 1.2367375 1.2840575 1.3123570 1.3175648 1.2978198 1.2536594
#> [57,] NA 1.3388548 1.4031113 1.4462581 1.4634850 1.4523887 1.4131911
#> [58,] NA 1.4424185 1.5249575 1.5844895 1.6153810 1.6145924 1.5819402
#> [59,] NA 1.5447659 1.6467302 1.7240724 1.7702559 1.7815083 1.7571419
#> [60,] NA 1.6432530 1.7655365 1.8619514 1.9249868 1.9500411 1.9358166
#> [61,] NA NA 1.8785776 1.9951195 2.0764498 2.1170449 2.1148870
#> [62,] NA NA 1.9832626 2.1207376 2.2216434 2.2794473 2.2913001
#> [63,] NA NA 2.0773052 2.2362394 2.3577979 2.4343623 2.4621417
#> [64,] NA NA 2.1587989 2.3394134 2.4824645 2.5791842 2.6247336
#> [65,] NA NA NA 2.4284570 2.5935749 2.7116521 2.7767026
#> [66,] NA NA NA 2.5019987 2.6894674 2.8298799 2.9160148
#> [67,] NA NA NA 2.5590912 2.7688810 2.9323512 3.0409710
#> [68,] NA NA NA NA 2.8309218 3.0178812 3.1501664
#> [69,] NA NA NA NA 2.8750118 3.0855582 3.2424227
#> [70,] NA NA NA NA NA 3.1346761 3.3167076
#> [71,] NA NA NA NA NA 3.1646775 3.3720601
#> [72,] NA NA NA NA NA 3.1751233 3.4075424
#> [73,] NA NA NA NA NA NA 3.4222377
#> [74,] NA NA NA NA NA NA 3.4153066
#> [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 0.000000000
#> [20,] NA NA NA NA 0.01261414 0.000000000
#> [21,] NA NA NA 0.07725640 0.01111833 0.000000000
#> [22,] NA NA NA 0.08048595 0.01638457 0.000000000
#> [23,] NA NA 0.1592642 0.09034159 0.02764915 0.000000000
#> [24,] NA 0.2457518 0.1733442 0.10598847 0.04402247 0.000000000
#> [25,] NA 0.2634242 0.1928335 0.12642699 0.06451405 0.007316455
#> [26,] 0.3579333 0.2859105 0.2166067 0.15052828 0.08806585 0.029656297
#> [27,] 0.3822817 0.3119611 0.2433921 0.17707931 0.11359158 0.053644975
#> [28,] 0.4092671 0.3401770 0.2718292 0.20483470 0.14001917 0.078420846
#> [29,] 0.4374012 0.3690812 0.3005345 0.23257139 0.16633258 0.103198775
#> [30,] 0.4651430 0.3971958 0.3281679 0.25914206 0.19160945 0.127291198
#> [31,] 0.4909873 0.4231216 0.3534979 0.28352337 0.21505147 0.150120531
#> [32,] 0.5135525 0.4456117 0.3754596 0.30485560 0.23600524 0.171222088
#> [33,] 0.5316616 0.4636378 0.3932021 0.32247164 0.25397313 0.190238283
#> [34,] 0.5444119 0.4764424 0.4061238 0.33591457 0.26861482 0.206906482
#> [35,] 0.5512284 0.4835768 0.4138937 0.34494438 0.27974176 0.221044116
#> [36,] 0.5518994 0.4849220 0.4164599 0.34953616 0.28730798 0.232535372
#> [37,] 0.5465931 0.4806947 0.4140472 0.34987228 0.29140070 0.241323714
#> [38,] 0.5358555 0.4714389 0.4071454 0.34633196 0.29223436 0.247413574
#> [39,] 0.5205919 0.4580064 0.3964928 0.33948083 0.29015028 0.250882988
#> [40,] 0.5020357 0.4415283 0.3830555 0.33006228 0.28562286 0.251906863
#> [41,] 0.4817045 0.4233810 0.3680057 0.31899127 0.27927152 0.250788361
#> [42,] 0.4613504 0.4051474 0.3526984 0.30734955 0.27187561 0.247993952
#> [43,] 0.4429033 0.3885756 0.3386478 0.29638026 0.26438843 0.244186378
#> [44,] 0.4284112 0.3755344 0.3274996 0.28747884 0.25794568 0.240249281
#> [45,] 0.4199779 0.3679662 0.3210000 0.28217727 0.25386392 0.237297801
#> [46,] 0.4196981 0.3678356 0.3209578 0.28211854 0.25362522 0.236670831
#> [47,] 0.4295912 0.3770747 0.3291995 0.28901969 0.25884596 0.239902714
#> [48,] 0.4515338 0.3975227 0.3475158 0.30462280 0.27122938 0.248674622
#> [49,] 0.4871915 0.4308629 0.3776011 0.33063496 0.29250373 0.264748230
#> [50,] 0.5379517 0.4785566 0.4209869 0.36865980 0.32434938 0.289886410
#> [51,] 0.6048590 0.5417768 0.4789735 0.42012430 0.36831980 0.325767031
#> [52,] 0.6885576 0.6213461 0.5525620 0.48620569 0.42576214 0.373896677
#> [53,] 0.7892418 0.7176814 0.6423932 0.56776345 0.49774317 0.435530978
#> [54,] 0.9066208 0.8307500 0.7486960 0.66528179 0.58498629 0.511607494
#> [55,] 1.0399008 0.9600423 0.8712520 0.77882709 0.68782428 0.602695868
#> [56,] 1.1877874 1.1045644 1.0093787 0.90802445 0.80617147 0.708968429
#> [57,] 1.3485129 1.2628529 1.1619353 1.05205614 0.93951773 0.830192845
#> [58,] 1.5198869 1.4330154 1.3273526 1.20968346 1.08694506 0.965746818
#> [59,] 1.6993723 1.6127943 1.5036868 1.37929188 1.24716645 1.114653397
#> [60,] 1.8841807 1.7996529 1.6886951 1.55895747 1.41858454 1.275634167
#> [61,] 2.0713837 1.9908777 1.8799292 1.74653081 1.59936655 1.447176346
#> [62,] 2.2580303 2.1836901 2.0748393 1.93973203 1.78752986 1.627608723
#> [63,] 2.4412605 2.3753573 2.2708795 2.13624929 1.98103128 1.815180253
#> [64,] 2.6184050 2.5632910 2.4656046 2.33383067 2.17785144 2.008134199
#> [65,] 2.7870573 2.7451235 2.6567469 2.53035916 2.37606494 2.204769958
#> [66,] 2.9451125 2.9187498 2.8422619 2.72390008 2.57388665 2.403484419
#> [67,] 3.0907655 3.0823298 3.0203350 2.91271221 2.76968540 2.602785182
#> [68,] 3.2224691 3.2342482 3.1893453 3.09521691 2.96195874 2.801269472
#> [69,] 3.3388598 3.3730364 3.3477880 3.26992482 3.14926658 2.997565433
#> [70,] 3.4386636 3.4972680 3.4941642 3.43532598 3.33012661 3.190236828
#> [71,] 3.5206016 3.6054465 3.6268555 3.58975699 3.50288194 3.377657917
#> [72,] 3.5833189 3.6959091 3.7440047 3.73126576 3.66555805 3.557871996
#> [73,] 3.6253598 3.7667724 3.8434316 3.85750081 3.81573350 3.728453949
#> [74,] 3.6452078 3.8159453 3.9226115 3.96565453 3.95045315 3.886403074
#> [75,] 3.6414018 3.8412263 3.9787400 4.05248890 4.06621433 4.028095797
#> [76,] NA 3.8404909 4.0088995 4.11446512 4.15905244 4.149327295
#> [77,] NA 3.8119616 4.0103257 4.14798650 4.22474339 4.245465259
#> [78,] NA NA 3.9807588 4.14974704 4.25912550 4.311727399
#> [79,] NA NA NA 4.11715818 4.25852442 4.343577456
#> [80,] NA NA NA 4.04880761 4.22024381 4.337214092
#> [81,] NA NA NA NA 4.14306576 4.290106080
#> [82,] NA NA NA NA NA 4.201509583
#> [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 0.000000000
#> [14,] NA NA NA NA 0.00000000 0.000000000
#> [15,] NA NA NA 0.00000000 0.00000000 0.000000000
#> [16,] NA NA 0.00000000 0.00000000 0.00000000 0.000000000
#> [17,] NA 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [18,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [19,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [20,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [21,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [22,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [23,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [24,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [25,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [26,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [27,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [28,] 0.02116293 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [29,] 0.04458964 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [30,] 0.06787064 0.01472400 0.00000000 0.00000000 0.00000000 0.000000000
#> [31,] 0.09062809 0.03803420 0.00000000 0.00000000 0.00000000 0.000000000
#> [32,] 0.11255513 0.06147601 0.01868756 0.00000000 0.00000000 0.000000000
#> [33,] 0.13339581 0.08485386 0.04512865 0.01383463 0.00000000 0.000000000
#> [34,] 0.15292205 0.10793277 0.07220530 0.04503350 0.02491777 0.009842952
#> [35,] 0.17091245 0.13041395 0.09951295 0.07714743 0.06145562 0.050097167
#> [36,] 0.18713810 0.15192252 0.12651132 0.10946607 0.09855986 0.091138823
#> [37,] 0.20135999 0.17201211 0.15253782 0.14111804 0.13517281 0.131759043
#> [38,] 0.21334091 0.19018884 0.17684437 0.17112051 0.17011121 0.170620134
#> [39,] 0.22287310 0.20595471 0.19865660 0.19845316 0.20215307 0.206352837
#> [40,] 0.22981957 0.21886730 0.21725076 0.22215052 0.23014279 0.237671034
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#> [67,] 2.42392623 2.24459667 2.07518347 1.92444631 1.79914656 1.703834103
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#> [69,] 2.82743552 2.65136902 2.48088999 2.32587787 2.19408010 2.090823101
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#> [77,] 4.21922574 4.15804090 4.07540267 3.98479595 3.89836372 3.825847941
#> [78,] 4.31495380 4.27964942 4.21868092 4.14541785 4.07230145 4.009654186
#> [79,] 4.37776587 4.37042180 4.33344200 4.27978023 4.22195231 4.170729807
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#> [83,] 4.22531636 4.33536062 4.40791852 4.45085964 4.47380456 4.486750347
#> [84,] NA 4.21692828 4.31564850 4.38412412 4.43043739 4.463570797
#> [85,] NA NA 4.17997384 4.27236940 4.34171034 4.395670313
#> [86,] NA NA NA 4.11911739 4.20990113 4.284326966
#> [87,] NA NA NA NA 4.03983212 4.133133855
#> [88,] NA NA NA NA NA 3.948100033
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#> [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 0.03725169 0.039224841
#> [10,] NA NA NA 0.000000000 0.00000000 0.000000000
#> [11,] NA 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
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#> [38,] 0.16959150 0.16448075 0.15352031 0.135856988 0.11155984 0.081515610
#> [39,] 0.20788235 0.20417969 0.19355122 0.175295226 0.14969016 0.117867448
#> [40,] 0.24149988 0.23908903 0.22884431 0.210226037 0.18371802 0.150679624
#> [41,] 0.26931854 0.26809893 0.25835830 0.239720167 0.21285819 0.179330407
#> [42,] 0.29055676 0.29046208 0.28142510 0.263223513 0.23669379 0.203551188
#> [43,] 0.30487109 0.30588378 0.29783331 0.280632299 0.25524195 0.223482132
#> [44,] 0.31241691 0.31457687 0.30787590 0.292332540 0.26898474 0.239694863
#> [45,] 0.31386794 0.31727432 0.31235526 0.299197597 0.27885982 0.253177263
#> [46,] 0.31039114 0.31519650 0.31254333 0.302542004 0.28620937 0.265279195
#> [47,] 0.30357867 0.30997543 0.31009930 0.304034444 0.29269021 0.277621979
#> [48,] 0.29534348 0.30354312 0.30695260 0.305577373 0.30015243 0.291978427
#> [49,] 0.28778930 0.29799520 0.30516233 0.309164623 0.31049753 0.310133756
#> [50,] 0.28306849 0.29544397 0.30676757 0.316731139 0.32552964 0.333740398
#> [51,] 0.28324273 0.29787616 0.31364408 0.330010338 0.34681520 0.364181314
#> [52,] 0.29016078 0.30703025 0.32738248 0.350414350 0.37556611 0.402456718
#> [53,] 0.30536546 0.32430605 0.34920111 0.378950535 0.41256005 0.449107948
#> [54,] 0.33003870 0.35071561 0.37990306 0.416184288 0.45810835 0.504189447
#> [55,] 0.36498854 0.38687991 0.41988206 0.462253447 0.51207755 0.567295611
#> [56,] 0.41067752 0.43307037 0.46917673 0.516933990 0.57396489 0.637643724
#> [57,] 0.46728650 0.48928896 0.52756648 0.579750648 0.64302166 0.714207730
#> [58,] 0.53480394 0.55537582 0.59469742 0.650120200 0.71841242 0.795890886
#> [59,] 0.61312735 0.63112948 0.67022192 0.727510258 0.79939191 0.881719108
#> [60,] 0.70216204 0.71642287 0.75393319 0.811593049 0.88547799 0.971032097
#> [61,] 0.80190261 0.81129805 0.84587550 0.902372704 0.97659692 1.063646930
#> [62,] 0.91248445 0.91602486 0.94641274 1.000266233 1.07317887 1.159969515
#> [63,] 1.03419661 1.03111275 1.05624238 1.106122895 1.17618572 1.261033479
#> [64,] 1.16745229 1.15727096 1.17634852 1.221173631 1.28706054 1.368453532
#> [65,] 1.31271897 1.29531897 1.30789538 1.346910938 1.40759789 1.484290398
#> [66,] 1.47041554 1.44605600 1.45207069 1.484908888 1.53974412 1.610835916
#> [67,] 1.64078865 1.61010410 1.60989567 1.636601622 1.68534721 1.750338155
#> [68,] 1.82378282 1.78774341 1.78202374 1.803045249 1.84588341 1.904695818
#> [69,] 2.01891979 1.97875929 1.96855183 1.984691496 2.02219282 2.075157177
#> [70,] 2.22520059 2.18231981 2.16886786 2.181201045 2.21425642 2.262060176
#> [71,] 2.44104012 2.39689742 2.38155262 2.391320005 2.42104270 2.464646722
#> [72,] 2.66423879 2.62024236 2.60434759 2.612835018 2.64044407 2.680975696
#> [73,] 2.89199031 2.84940806 2.83419079 2.842612078 2.86931149 2.907947003
#> [74,] 3.12092015 3.08082165 3.06731373 3.076712942 3.10358274 3.141434584
#> [75,] 3.34714653 3.31038762 3.29938476 3.310572938 3.33848799 3.376512085
#> [76,] 3.56635612 3.53361050 3.52567957 3.539216737 3.56880590 3.607742940
#> [77,] 3.77388963 3.74572388 3.74125877 3.757485928 3.78913917 3.829499229
#> [78,] 3.96483802 3.94181811 3.94113673 3.960254462 3.99417833 4.036272262
#> [79,] 4.13415611 4.11696592 4.12043267 4.142614976 4.17892898 4.222942719
#> [80,] 4.27680572 4.26635300 4.27450451 4.300029073 4.33888808 4.384988578
#> [81,] 4.38794174 4.38542557 4.39907418 4.428445387 4.47016723 4.518622660
#> [82,] 4.46315167 4.47006852 4.49035827 4.524397794 4.56957238 4.620865413
#> [83,] 4.49875025 4.51682300 4.54521786 4.585100034 4.63465690 4.689569042
#> [84,] 4.49211802 4.52314314 4.56133554 4.608551015 4.66376634 4.723413959
#> [85,] 4.44205811 4.48767893 4.53741768 4.593657738 4.65608893 4.721896791
#> [86,] 4.34913305 4.41055953 4.47340816 4.540372572 4.61171713 4.685322330
#> [87,] 4.21593577 4.29364251 4.37069027 4.449832067 4.53171660 4.614803238
#> [88,] 4.04724862 4.14069106 4.23224866 4.324478868 4.41819288 4.512265012
#> [89,] 3.85004988 3.95744415 4.06276399 4.168148057 4.27434530 4.380452797
#> [90,] NA 3.75155035 3.86861696 3.986102684 4.10450153 4.222940970
#> [91,] NA NA NA 3.785005840 3.91412947 4.044151920
#> [92,] NA NA NA NA 3.70981988 3.849389658
#> [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 0.40020865 0.43239555 0.47124343
#> [7,] NA 0.24222945 0.260726581 0.28530965 0.31590607 0.35242381
#> [8,] 0.13095912 0.14355229 0.161774783 0.18546842 0.21448222 0.24864930
#> [9,] 0.04679273 0.05965251 0.077555898 0.10028689 0.12763854 0.15939217
#> [10,] 0.00000000 0.00000000 0.006826334 0.02842520 0.05397445 0.08322470
#> [11,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.01828884
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#> [21,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [22,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [23,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [24,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
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#> [26,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [27,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [28,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [29,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [30,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
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#> [33,] 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
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#> [37,] 0.01074936 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
#> [38,] 0.04724231 0.01065763 0.000000000 0.00000000 0.00000000 0.00000000
#> [39,] 0.08160214 0.04306036 0.004541416 0.00000000 0.00000000 0.00000000
#> [40,] 0.11311648 0.07341067 0.034049338 0.00000000 0.00000000 0.00000000
#> [41,] 0.14133389 0.10142213 0.062224351 0.02619822 0.00000000 0.00000000
#> [42,] 0.16613310 0.12710863 0.089193502 0.05490123 0.02634915 0.00512665
#> [43,] 0.18776876 0.15082099 0.115376983 0.08394771 0.05862666 0.04096129
#> [44,] 0.20688671 0.17325615 0.141492899 0.11404159 0.09291839 0.07958794
#> [45,] 0.22450446 0.19543502 0.168534784 0.14611451 0.13005681 0.12170108
#> [46,] 0.24195565 0.21864807 0.197720583 0.18128074 0.17102022 0.16811013
#> [47,] 0.26080123 0.24437053 0.230414397 0.22076807 0.21687524 0.21969632
#> [48,] 0.28271330 0.27415241 0.268025082 0.26582728 0.26869957 0.27735091
#> [49,] 0.30934104 0.30949164 0.311888593 0.31762564 0.32748849 0.34189652
#> [50,] 0.34217088 0.35170124 0.363143611 0.37713239 0.39405139 0.41399597
#> [51,] 0.38239468 0.40178329 0.422612187 0.44500664 0.46890755 0.49405617
#> [52,] 0.43080040 0.46032376 0.490698607 0.52150011 0.55219235 0.58213749
#> [53,] 0.48769907 0.52742174 0.567320015 0.60638804 0.64358728 0.67788154
#> [54,] 0.55289937 0.60266513 0.651881249 0.69894116 0.74228693 0.78047113
#> [55,] 0.62573772 0.68516132 0.743303481 0.79794943 0.84701489 0.88863534
#> [56,] 0.70516588 0.77362639 0.840111569 0.90180387 0.95609647 1.00070947
#> [57,] 0.78989200 0.86652994 0.940578707 1.00863701 1.06759050 1.11475415
#> [58,] 0.87856383 0.96228515 1.042919394 1.11651422 1.17947469 1.22872996
#> [59,] 0.96997586 1.05946664 1.145514003 1.22366083 1.28987054 1.34071553
#> [60,] 1.06327700 1.15703203 1.247141213 1.32870155 1.39728557 1.44914824
#> [61,] 1.15815182 1.25451961 1.347189794 1.43088356 1.50084434 1.55305914
#> [62,] 1.25494881 1.35219332 1.445819641 1.53025203 1.60047616 1.65227012
#> [63,] 1.35473258 1.45110985 1.544044541 1.62774863 1.69702867 1.74752115
#> [64,] 1.45924446 1.55308961 1.643716058 1.72521013 1.79228212 1.84050054
#> [65,] 1.57076665 1.66058439 1.747398692 1.82525458 1.88884956 1.93376110
#> [66,] 1.69189705 1.77644716 1.858139963 1.93105672 1.98996197 2.03051892
#> [67,] 1.82525458 1.90362324 1.979153407 2.04602877 2.09915278 2.13434700
#> [68,] 1.97314561 2.04479407 2.113445682 2.17343751 2.21987154 2.24879197
#> [69,] 2.13722924 2.20201317 2.263428828 2.31599913 2.35506818 2.37695476
#> [70,] 2.31822176 2.37637790 2.430563595 2.47549961 2.50679684 2.52108473
#> [71,] 2.51567770 2.56777821 2.615078501 2.65248811 2.67588874 2.68223802
#> [72,] 2.72787651 2.77475569 2.815801754 2.84608389 2.86173756 2.86004600
#> [73,] 2.95183104 2.99449311 3.030130074 3.05392427 3.06222803 3.05262723
#> [74,] 3.18341865 3.22293829 3.254141431 3.27226395 3.27382097 3.25665888
#> [75,] 3.41761975 3.45504872 3.482840114 3.49621621 3.49178771 3.46760279
#> [76,] 3.64883442 3.68512743 3.710505076 3.72010776 3.71056685 3.68006066
#> [77,] 3.87123848 3.90720922 3.931099031 3.93790409 3.92419977 3.88821481
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#> [98,] 4.34259179 4.38392070 4.406161957 4.41016341 4.39702466 4.36794967
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#> [2,] 3.96702344 4.053198691 4.13005039 4.19736809 4.255177e+00 NA
#> [3,] 3.73038812 3.825196737 3.91145047 3.98859888 4.056315e+00 4.11455733
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#> [8,] 2.24804539 2.368738108 2.48655445 2.59939076 2.705206e+00 2.80218145
#> [9,] 1.99799380 2.122502577 2.24526207 2.36388905 2.476009e+00 2.57942779
#> [10,] 1.78042482 1.909034950 2.03700807 2.16170360 2.280427e+00 2.39061274
#> [11,] 1.59473575 1.727740655 1.86122050 1.99231167 2.118027e+00 2.23544677
#> [12,] 1.43774143 1.575243329 1.71433890 1.85198902 1.984957e+00 2.11000424
#> [13,] 1.30471038 1.446464592 1.59093274 1.73495987 1.875119e+00 2.00790489
#> [14,] 1.19031640 1.335642761 1.48478623 1.63454482 1.781374e+00 1.92156948
#> [15,] 1.08941251 1.237181717 1.38982421 1.54416474 1.696621e+00 1.84337474
#> [16,] 0.99758187 1.146270992 1.30080565 1.45811117 1.614652e+00 1.76658401
#> [17,] 0.91145943 1.059261156 1.21375777 1.37204436 1.530713e+00 1.68598716
#> [18,] 0.82884603 0.973811266 1.12616177 1.28322271 1.441789e+00 1.59823524
#> [19,] 0.74865428 0.888846841 1.03692707 1.19049818 1.346620e+00 1.50189629
#> [20,] 0.67073400 0.804378611 0.94620627 1.09413153 1.245527e+00 1.39728692
#> [21,] 0.59562674 0.721235657 0.85510866 0.99548882 1.140091e+00 1.28614754
#> [22,] 0.52429494 0.640763337 0.76536751 0.89667961 1.032770e+00 1.17123113
#> [23,] 0.45786334 0.564528420 0.67900840 0.80018884 9.264890e-01 1.05586757
#> [24,] 0.39740044 0.494062875 0.59805405 0.70854216 8.242711e-01 0.94355232
#> [25,] 0.34375616 0.430665621 0.52428809 0.62403052 7.289213e-01 0.83759240
#> [26,] 0.29746139 0.375269954 0.45908791 0.54850654 6.427850e-01 0.74082777
#> [27,] 0.25868585 0.328374623 0.40332611 0.48325409 5.675846e-01 0.65543368
#> [28,] 0.22724440 0.290029706 0.35733306 0.42892514 5.043287e-01 0.58280113
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#> [33,] 0.15530068 0.202481889 0.25176586 0.30235462 3.532762e-01 0.40344749
#> [34,] 0.15106782 0.197664125 0.24629505 0.29594813 3.454245e-01 0.39342331
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#> [39,] 0.12853414 0.167673990 0.21045540 0.25500499 2.991382e-01 0.34052810
#> [40,] 0.11946114 0.154576364 0.19390029 0.23549221 2.770766e-01 0.31622069
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#> [70,] 0.25602206 0.206165142 0.16283873 0.12645115 9.732011e-02 0.07561241
#> [71,] 0.31955184 0.266841860 0.22186333 0.18501700 1.565533e-01 0.13651887
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#> [81,] 1.13435134 1.092154905 1.06359232 1.04739481 1.041761e+00 1.04443681
#> [82,] 1.22484075 1.186256357 1.16040338 1.14579357 1.140436e+00 1.14192910
#> [83,] 1.31625000 1.280841984 1.25702644 1.24311705 1.236968e+00 1.23607482
#> [84,] 1.40959832 1.376585733 1.35384376 1.33951660 1.331343e+00 1.32676244
#> [85,] 1.50645463 1.474693978 1.45175270 1.43564067 1.424024e+00 1.41433636
#> [86,] 1.60880358 1.576779756 1.55204226 1.53250839 1.515819e+00 1.49945128
#> [87,] 1.71877276 1.684603085 1.65614302 1.63126597 1.607639e+00 1.58283556
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#> [90,] 2.10847101 2.053488029 1.99947664 1.94454995 1.886821e+00 1.82450626
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#> [92,] 2.40863591 2.326590502 2.24258855 2.15528347 2.063446e+00 1.96604223
#> [93,] 2.55710626 2.458209532 2.35607436 2.24974380 2.138423e+00 2.02154470
#> [94,] 2.69301456 2.575944686 2.45455357 2.32834131 2.197004e+00 2.06047621
#> [95,] 2.80557406 2.670026632 2.52933903 2.38351568 2.232775e+00 2.07757107
#> [96,] 2.88339879 2.730309459 2.57158187 2.40774364 2.239537e+00 2.06791947
#> [97,] 2.91582781 2.747492307 2.57337741 2.39451800 2.212146e+00 2.02767153
#> [98,] 2.89439355 2.714442495 2.52893163 2.33934977 2.147349e+00 1.95470437
#> [99,] 2.81420554 2.627407392 2.43559492 2.24062210 2.044458e+00 NA
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#> [,62] [,63] [,64] [,65] [,66] [,67]
#> [1,] NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA
#> [3,] 4.163629691 4.20421631 4.23740009 NA NA NA
#> [4,] 3.934055580 3.98297534 4.02362840 4.05733714 4.085854e+00 4.11128872
#> [5,] 3.673580977 3.73031289 3.77803038 3.81789130 3.851576e+00 3.88122152
#> [6,] 3.401397512 3.46510510 3.51907387 3.56427971 3.602313e+00 3.63532539
#> [7,] 3.135104671 3.20497802 3.26432890 3.31392621 3.355247e+00 3.39043664
#> [8,] 2.888878888 2.96439798 3.02850437 3.08172255 3.125378e+00 3.16157707
#> [9,] 2.672315965 2.75338488 2.82204533 2.87852837 2.923954e+00 2.96033719
#> [10,] 2.490027131 2.57696704 2.65044664 2.71034829 2.757522e+00 2.79381756
#> [11,] 2.341934480 2.43535729 2.51429851 2.57823904 2.627689e+00 2.66425219
#> [12,] 2.224111087 2.32471786 2.40995846 2.47887121 2.531563e+00 2.56930757
#> [13,] 2.129957059 2.23831341 2.33066167 2.40557586 2.462712e+00 2.50293805
#> [14,] 2.051494115 2.16783036 2.26784751 2.34965815 2.412441e+00 2.45660483
#> [15,] 1.980588526 2.10465884 2.21248839 2.30175715 2.371167e+00 2.42063752
#> [16,] 1.909961786 2.04098017 2.15624769 2.25306480 2.329685e+00 2.38553243
#> [17,] 1.833906883 1.97056112 2.09235172 2.19627251 2.280180e+00 2.34302685
#> [18,] 1.748684316 1.88921664 2.01612327 2.12617811 2.216910e+00 2.28685113
#> [19,] 1.652618429 1.79495387 1.92518033 2.03994567 2.136536e+00 2.21312463
#> [20,] 1.545947054 1.68784761 1.81934573 1.93705775 2.038116e+00 2.12041712
#> [21,] 1.430494764 1.56971883 1.70033917 1.81902994 1.922861e+00 2.00953670
#> [22,] 1.309243746 1.44369393 1.57133214 1.68897004 1.793701e+00 1.88312589
#> [23,] 1.185869365 1.31371643 1.43644211 1.55106198 1.654771e+00 1.74515121
#> [24,] 1.064293841 1.18406955 1.30022894 1.41004224 1.510872e+00 1.60036184
#> [25,] 0.948295001 1.05895052 1.16723869 1.27071820 1.366973e+00 1.45377572
#> [26,] 0.841191102 0.94212088 1.04162255 1.13755970 1.227776e+00 1.31023157
#> [27,] 0.745609588 0.83664303 0.92684338 1.01437881 1.097375e+00 1.17402764
#> [28,] 0.663338498 0.74470317 0.82547185 0.90410144 9.790080e-01 1.04865405
#> [29,] 0.595254105 0.66751573 0.73906813 0.80862779 8.748947e-01 0.93661737
#> [30,] 0.541316468 0.60530159 0.66814238 0.72877524 7.861652e-01 0.83935151
#> [31,] 0.500624592 0.55733263 0.61218709 0.66429721 7.128637e-01 0.75720834
#> [32,] 0.471523459 0.52203531 0.56977403 0.61397088 6.540251e-01 0.68952080
#> [33,] 0.451755178 0.49714535 0.53870829 0.57574641 6.078150e-01 0.63473111
#> [34,] 0.438645298 0.47990423 0.51622977 0.54694772 5.717252e-01 0.59057479
#> [35,] 0.429313028 0.46728516 0.49924894 0.52451187 5.428094e-01 0.55430784
#> [36,] 0.420891145 0.45623280 0.48460037 0.50524968 5.179444e-01 0.52296050
#> [37,] 0.410738928 0.44389809 0.46929391 0.48610674 4.940938e-01 0.49359740
#> [38,] 0.396630275 0.42784826 0.45074191 0.46440243 4.685529e-01 0.46356143
#> [39,] 0.376900286 0.40623308 0.42694197 0.43802513 4.391514e-01 0.43067929
#> [40,] 0.350537128 0.37789245 0.39659868 0.40556587 4.043965e-01 0.39341000
#> [41,] 0.317211767 0.34239647 0.35917435 0.36637947 3.635433e-01 0.35092378
#> [42,] 0.277245318 0.30001711 0.31486693 0.32057044 3.165899e-01 0.30310708
#> [43,] 0.231521071 0.25163851 0.26452211 0.26891009 2.642028e-01 0.25049819
#> [44,] 0.181354580 0.19862017 0.20949388 0.21269908 2.075856e-01 0.19416632
#> [45,] 0.128339346 0.14263171 0.15147329 0.15359524 1.483109e-01 0.13555250
#> [46,] 0.074187114 0.08547986 0.09230711 0.09342901 8.813804e-02 0.07629419
#> [47,] 0.020580441 0.02894724 0.03382706 0.03402794 2.883735e-02 0.01805483
#> [48,] 0.000000000 0.00000000 0.00000000 0.00000000 0.000000e+00 0.00000000
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#> [70,] 0.061296571 0.05411336 0.05356717 0.05893989 6.932711e-02 0.08369473
#> [71,] 0.124718254 0.12069439 0.12373108 0.13287831 1.470001e-01 0.16484257
#> [72,] 0.195414679 0.19495138 0.20183022 0.21484432 2.326090e-01 0.25364233
#> [73,] 0.273424084 0.27672662 0.28747009 0.30417491 3.252007e-01 0.34884014
#> [74,] 0.358449304 0.36548132 0.37983511 0.39975408 4.233476e-01 0.44869792
#> [75,] 0.449808393 0.46026325 0.47767715 0.50002563 5.251870e-01 0.55106154
#> [76,] 0.546426940 0.55972080 0.57935489 0.60306043 6.285177e-01 0.65348704
#> [77,] 0.646881116 0.66216987 0.68292727 0.70667766 7.309497e-01 0.75341629
#> [78,] 0.749493205 0.76571212 0.78629528 0.80860999 8.300902e-01 0.84838285
#> [79,] 0.852472483 0.86839324 0.88737699 0.90669329 9.237455e-01 0.93622039
#> [80,] 0.954085029 0.96838147 0.98429208 0.99905362 1.010106e+00 1.01524135
#> [81,] 1.052828265 1.06413950 1.07552711 1.08426134 1.087884e+00 1.08435482
#> [82,] 1.147581408 1.15456058 1.16005239 1.16142428 1.156381e+00 1.14310058
#> [83,] 1.237702963 1.23904199 1.23736697 1.23020026 1.215461e+00 1.19159002
#> [84,] 1.323051538 1.31747727 1.30745860 1.29072285 1.265445e+00 1.23036253
#> [85,] 1.403916335 1.39016058 1.37068037 1.34344977 1.306933e+00 1.26018308
#> [86,] 1.480857450 1.45761174 1.42756049 1.38895904 1.340585e+00 1.28181987
#> [87,] 1.554471513 1.52034471 1.47857516 1.42772856 1.366914e+00 1.29584626
#> [88,] 1.625112677 1.57861401 1.52392231 1.45993893 1.386117e+00 1.30250614
#> [89,] 1.692610177 1.63217987 1.56333516 1.48533544 1.397987e+00 1.30166784
#> [90,] 1.756029536 1.68013296 1.59596902 1.50317371 1.401909e+00 1.29287177
#> [91,] 1.813523868 1.72081346 1.62038339 1.51225836 1.396952e+00 1.27545597
#> [92,] 1.862314253 1.75184775 1.63462736 1.51106775 1.382017e+00 1.24872773
#> [93,] 1.898824136 1.77031155 1.63642191 1.49794515 1.356030e+00 1.21214252
#> [94,] 1.918973191 1.77301141 1.62341993 1.47132893 1.318137e+00 1.16545435
#> [95,] 1.918612501 1.75685997 1.59351537 1.42999148 1.267865e+00 1.10881358
#> [96,] 1.894057418 1.71930349 1.54516493 1.37325815 1.205252e+00 1.04280250
#> [97,] 1.842650283 1.65874606 1.47768089 1.30117941 1.130908e+00 0.96841225
#> [98,] 1.763266321 1.57490465 1.39144964 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,] 3.90931092 3.93851363 NA NA NA NA
#> [6,] 3.66592467 3.69701493 3.731592875 3.772508407 3.82220596 NA
#> [7,] 3.42221563 3.45371782 3.488281725 3.529195985 3.57941800 3.641284842
#> [8,] 3.19312440 3.22336780 3.255984808 3.294715817 3.34306161 3.403965052
#> [9,] 2.99051716 3.01801727 3.046829532 3.081139620 3.12500648 3.182017378
#> [10,] 2.82203985 2.84582091 2.869412608 2.897408324 2.93440964 2.984659251
#> [11,] 2.69060769 2.71040517 2.728070250 2.748530165 2.77687446 2.817972107
#> [12,] 2.59455923 2.61087562 2.622743467 2.635315936 2.65407531 2.684442384
#> [13,] 2.52838731 2.54240829 2.549419803 2.554667223 2.56389566 2.582960608
#> [14,] 2.48387452 2.49727862 2.501035160 2.500334436 2.50103102 2.509264760
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#> [17,] 2.38504193 2.40781838 2.414309839 2.408718379 2.39628093 2.382968100
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#> [9,] 3.25494275 3.345417290 3.45367492 3.57836503 NA NA
#> [10,] 3.05166489 3.137841362 3.24419863 3.37010361 3.51314243 NA
#> [11,] 2.87607059 2.954404420 3.05484126 3.17759313 3.32101908 3.481544276
#> [12,] 2.73135849 2.798868281 2.88973137 3.00508992 3.14421732 3.304372112
#> [13,] 2.61740210 2.672010972 2.75041555 2.85471512 2.98518388 3.140067208
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#> [82,] 0.79551119 0.722489781 0.64905533 0.57684757 0.50713173 0.440754060
#> [83,] 0.76901508 0.687778287 0.60704005 0.52843037 0.45319400 0.382162727
#> [84,] 0.73484096 0.646372270 0.55941362 0.47556779 0.39604474 0.321647991
#> [85,] 0.69489823 0.600281135 0.50826353 0.42040111 0.33785092 0.261369084
#> [86,] 0.65078396 0.551177376 0.45531759 0.36468905 0.28037220 0.203050516
#> [87,] 0.60371798 0.500345886 0.40190452 0.30977681 0.22493676 0.147964120
#> [88,] 0.55457792 0.448726435 0.34899976 0.25664261 0.17248702 0.096974305
#> [89,] 0.50401134 0.397023126 0.29732876 0.20599290 0.12366718 0.050619649
#> [90,] 0.45258296 0.345838901 0.24748707 0.15836868 0.07891798 0.009199708
#> [91,] 0.40090773 0.295789061 0.20003576 0.11422613 0.03854714 NA
#> [92,] 0.34972646 0.247556606 0.15554134 0.07396696 NA NA
#> [93,] 0.29989952 0.201871631 NA NA NA NA
#> [94,] 0.25231913 NA NA NA NA NA
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#> [96,] NA NA NA NA NA NA
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#> [100,] NA NA NA NA NA NA
#> [,80] [,81] [,82] [,83] [,84] [,85]
#> [1,] NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA
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#> [5,] NA NA NA NA NA NA
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#> [8,] NA NA NA NA NA NA
#> [9,] NA NA NA NA NA NA
#> [10,] NA NA NA NA NA NA
#> [11,] 3.6537181080 NA NA NA NA NA
#> [12,] 3.4807798986 3.66676453 NA NA NA NA
#> [13,] 3.3154915512 3.50550925 3.702299290 NA NA NA
#> [14,] 3.1591820179 3.34781435 3.548642192 3.752833046 NA NA
#> [15,] 3.0122634362 3.19439269 3.393706735 3.602221949 3.810261871 NA
#> [16,] 2.8742319522 3.04545741 3.238096640 3.445303303 3.658305360 3.86676062
#> [17,] 2.7437715568 2.90070544 3.082288638 3.283004940 3.495293289 3.70975627
#> [18,] 2.6189611870 2.75937683 2.926563470 3.116423288 3.322807191 3.53758586
#> [19,] 2.4975560782 2.62039104 2.770996639 2.946682470 3.142800220 3.35269788
#> [20,] 2.3772965817 2.48253606 2.615512192 2.774847511 2.957378767 3.15802172
#> [21,] 2.2561938222 2.34467351 2.459981459 2.601897483 2.768641042 2.95667688
#> [22,] 2.1327500707 2.20592073 2.304337578 2.428745050 2.578580022 2.75174765
#> [23,] 2.0060882986 2.06577972 2.148676064 2.256279139 2.389040103 2.54613095
#> [24,] 1.8759848042 1.92419705 1.993319193 2.085407027 2.201707940 2.34244795
#> [25,] 1.7428162403 1.78155405 1.838833710 1.917078404 2.018117359 2.14300198
#> [26,] 1.6074444616 1.63859988 1.686003429 1.752283388 1.839653288 1.94976438
#> [27,] 1.4710679002 1.49634785 1.535767658 1.592025764 1.667547169 1.76437416
#> [28,] 1.3350670303 1.35595741 1.389141346 1.437279446 1.502863460 1.58814304
#> [29,] 1.2008655905 1.21862190 1.247133339 1.288939281 1.346481787 1.42206334
#> [30,] 1.0698209222 1.08547604 1.110675951 1.147776889 1.199081241 1.26681975
#> [31,] 0.9431483521 0.95753011 0.980573878 1.014409252 1.061132694 1.12280727
#> [32,] 0.8218777227 0.83563146 0.857475003 0.889283639 0.932902533 0.99015738
#> [33,] 0.7068358953 0.72044924 0.741861024 0.772678433 0.814468216 0.86877244
#> [34,] 0.5986474151 0.61247593 0.634053056 0.664716469 0.705743383 0.75836660
#> [35,] 0.4977460176 0.51203896 0.534226358 0.565386047 0.606508630 0.65850988
#> [36,] 0.4043914304 0.41931698 0.442428904 0.474564769 0.516443594 0.56867163
#> [37,] 0.3186880919 0.33435698 0.358600015 0.392042354 0.435156630 0.48825973
#> [38,] 0.2406042832 0.25709076 0.282587009 0.317540145 0.362209593 0.41665305
#> [39,] 0.1699913856 0.18735028 0.214159414 0.250726555 0.297136731 0.35322591
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#> [,99] [,100]
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#> [35,] NA NA
#> [36,] NA NA
#> [37,] NA NA
#> [38,] NA NA
#> [39,] NA NA
#> [40,] NA NA
#> [41,] 1.6255385 NA
#> [42,] 1.4937698 NA
#> [43,] 1.3725567 NA
#> [44,] 1.2624658 NA
#> [45,] 1.1638126 NA
#> [46,] 1.0766934 NA
#> [47,] 1.0010138 NA
#> [48,] 0.9365154 NA
#> [49,] 0.8827981 NA
#> [50,] 0.8393371 NA
#> [51,] 0.8054951 NA
#> [52,] 0.7805291 NA
#> [53,] 0.7635931 NA
#> [54,] 0.7537370 NA
#> [55,] 0.7499066 NA
#> [56,] 0.7509448 NA
#> [57,] 0.7555977 NA
#> [58,] 0.7625286 NA
#> [59,] 0.7703408 NA
#> [60,] 0.7776100 NA
#> [61,] NA NA
#> [62,] NA NA
#> [63,] NA NA
#> [64,] NA NA
#> [65,] NA NA
#> [66,] NA NA
#> [67,] NA NA
#> [68,] NA NA
#> [69,] NA NA
#> [70,] NA NA
#> [71,] NA NA
#> [72,] NA NA
#> [73,] NA NA
#> [74,] NA NA
#> [75,] NA NA
#> [76,] NA NA
#> [77,] NA NA
#> [78,] NA NA
#> [79,] NA NA
#> [80,] NA NA
#> [81,] NA NA
#> [82,] NA NA
#> [83,] NA NA
#> [84,] NA NA
#> [85,] NA NA
#> [86,] NA NA
#> [87,] NA NA
#> [88,] NA NA
#> [89,] NA NA
#> [90,] NA NA
#> [91,] NA NA
#> [92,] NA NA
#> [93,] NA NA
#> [94,] NA NA
#> [95,] NA NA
#> [96,] NA NA
#> [97,] NA NA
#> [98,] NA NA
#> [99,] NA NA
#> [100,] NA NA
#>
#> attr(,"class")
#> [1] "list" "spherical.density"