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()", or"Plane()".- ...
arguments passed to
density_calc()- FUN
density estimation function if
kamb=TRUE; one ofexponential_kamb()(the default), kamb_count, andschmidt_count().- n
integer. Gridzise.
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 0.5756658
#> [28,] NA NA NA NA NA NA 0.6173486
#> [29,] NA NA NA NA NA 0.6156023 0.6517741
#> [30,] NA NA NA NA NA 0.6462562 0.6778524
#> [31,] NA NA NA NA NA 0.6688181 0.6948631
#> [32,] NA NA NA NA 0.6476563 0.6826415 0.7024697
#> [33,] NA NA NA NA 0.6580837 0.6874301 0.7007118
#> [34,] NA NA NA 0.6215848 0.6599550 0.6832390 0.6899781
#> [35,] NA NA NA 0.6206743 0.6533684 0.6704596 0.6709681
#> [36,] NA NA NA 0.6119881 0.6387486 0.6497936 0.6446466
#> [37,] NA NA 0.5611743 0.5960069 0.6168278 0.6222182 0.6121973
#> [38,] NA NA 0.5446213 0.5735089 0.5886163 0.5889465 0.5749785
#> [39,] NA NA 0.5225046 0.5455420 0.5553663 0.5513862 0.5344823
#> [40,] NA NA 0.4958939 0.5133857 0.5185282 0.5110977 0.4922999
#> [41,] NA 0.4434546 0.4660654 0.4785053 0.4797048 0.4697521 0.4500898
#> [42,] NA 0.4172178 0.4344527 0.4424994 0.4406013 0.4290897 0.4095492
#> [43,] NA 0.3901043 0.4025899 0.4070437 0.4029738 0.3908774 0.3723851
#> [44,] NA 0.3635185 0.3720517 0.3738326 0.3685764 0.3568661 0.3402841
#> [45,] NA 0.3388649 0.3443922 0.3445196 0.3391080 0.3287459 0.3148783
#> [46,] NA 0.3174881 0.3210837 0.3206598 0.3161589 0.3080992 0.2977068
#> [47,] NA 0.3006162 0.3034608 0.3036540 0.3011592 0.2963537 0.2901727
#> [48,] NA 0.2893102 0.2926681 0.2946988 0.2953296 0.2947349 0.2934963
#> [49,] NA 0.2844210 0.2896173 0.2947421 0.2996368 0.3042196 0.3086671
#> [50,] NA 0.2865565 0.2949523 0.3044477 0.3147556 0.3254956 0.3363977
#> [51,] NA 0.2960593 0.3090264 0.3241698 0.3410404 0.3589272 0.3770830
#> [52,] NA 0.3129966 0.3318908 0.3539394 0.3785074 0.4045320 0.4307692
#> [53,] NA 0.3371621 0.3632959 0.3934641 0.4268305 0.4619710 0.4971357
#> [54,] NA 0.3680894 0.4027057 0.4421411 0.4853521 0.5305540 0.5754943
#> [55,] NA 0.4050767 0.4493235 0.4990836 0.5531075 0.6092618 0.6648053
#> [56,] NA 0.4472191 0.5021278 0.5631586 0.6288642 0.6967835 0.7637127
#> [57,] NA 0.4934478 0.5599153 0.6330342 0.7111715 0.7915681 0.8705950
#> [58,] NA 0.5425720 0.6213482 0.7072316 0.7984178 0.8918858 0.9836285
#> [59,] NA 0.5933214 0.6850012 0.7841781 0.8888898 0.9958926 1.1008570
#> [60,] NA 0.6443853 0.7494050 0.8622567 0.9808288 1.1016939 1.2202616
#> [61,] NA NA 0.8130843 0.9398476 1.0724779 1.2073994 1.3398231
#> [62,] NA NA 0.8745857 1.0153590 1.1621180 1.3111647 1.4575709
#> [63,] NA NA 0.9324998 1.0872474 1.2480884 1.4112163 1.5716138
#> [64,] NA NA 0.9854756 1.1540272 1.3287938 1.5058587 1.6801513
#> [65,] NA NA NA 1.2142753 1.4027023 1.5934683 1.7814665
#> [66,] NA NA NA 1.2666366 1.4683389 1.6724786 1.8739072
#> [67,] NA NA NA 1.3098374 1.5242856 1.7413668 1.9558630
#> [68,] NA NA NA NA 1.5691952 1.7986522 2.0257509
#> [69,] NA NA NA NA 1.6018290 1.8429179 2.0820203
#> [70,] NA NA NA NA NA 1.8728624 2.1231892
#> [71,] NA NA NA NA NA 1.8873865 2.1479168
#> [72,] NA NA NA NA NA 1.8857111 2.1551157
#> [73,] NA NA NA NA NA NA 2.1440948
#> [74,] NA NA NA NA NA NA 2.1147190
#> [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] [,14]
#> [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 0.2369864
#> [19,] NA NA NA NA NA 0.2774316 0.2859865
#> [20,] NA NA NA NA 0.3194524 0.3311976 0.3366783
#> [21,] NA NA NA 0.3604666 0.3761656 0.3852298 0.3860178
#> [22,] NA NA NA 0.4185200 0.4319002 0.4366012 0.4312414
#> [23,] NA NA 0.4563476 0.4745648 0.4839001 0.4827145 0.4700387
#> [24,] NA 0.4880889 0.5115491 0.5260509 0.5297684 0.5214596 0.5006901
#> [25,] NA 0.5414957 0.5616068 0.5707977 0.5676083 0.5513320 0.5221536
#> [26,] 0.5632281 0.5893797 0.6045543 0.6071142 0.5961181 0.5714962 0.5340918
#> [27,] 0.6082999 0.6299750 0.6388866 0.6338751 0.6146346 0.5817897 0.5368373
#> [28,] 0.6460479 0.6619367 0.6636201 0.6505464 0.6231197 0.5826711 0.5313041
#> [29,] 0.6752631 0.6843894 0.6783071 0.6571618 0.6220966 0.5751183 0.5188547
#> [30,] 0.6951534 0.6969373 0.6830086 0.6542552 0.6125455 0.5604934 0.5011417
#> [31,] 0.7053544 0.6996387 0.6782305 0.6427622 0.5957737 0.5403889 0.4799383
#> [32,] 0.7059113 0.6929534 0.6648375 0.6239027 0.5732762 0.5164736 0.4569779
#> [33,] 0.6972390 0.6776709 0.6439535 0.5990616 0.5466018 0.4903525 0.4338148
#> [34,] 0.6800677 0.6548316 0.6168637 0.5696777 0.5172379 0.4634541 0.4117208
#> [35,] 0.6553825 0.6256497 0.5849272 0.5371539 0.4865241 0.4369542 0.3916219
#> [36,] 0.6243640 0.5914457 0.5495085 0.5027936 0.4556006 0.4117393 0.3740812
#> [37,] 0.5883356 0.5535936 0.5119311 0.4677679 0.4253921 0.3884117 0.3593254
#> [38,] 0.5487198 0.5134850 0.4734558 0.4331112 0.3966259 0.3673304 0.3473095
#> [39,] 0.5070056 0.4725099 0.4352793 0.3997431 0.3698770 0.3486819 0.3378118
#> [40,] 0.4647257 0.4320515 0.3985507 0.3685078 0.3456337 0.3325694 0.3305460
#> [41,] 0.4234405 0.3934900 0.3643980 0.3402250 0.3243714 0.3191102 0.3252785
#> [42,] 0.3847264 0.3582106 0.3339575 0.3157416 0.3066259 0.3085274 0.3219374
#> [43,] 0.3501639 0.3276101 0.3083998 0.2959758 0.2930547 0.3012261 0.3206994
#> [44,] 0.3213215 0.3030972 0.2889454 0.2819469 0.2844783 0.2978442 0.3220468
#> [45,] 0.2997341 0.2860816 0.2768645 0.2747847 0.2818962 0.2992714 0.3267870
#> [46,] 0.2868719 0.2779509 0.2734600 0.2757151 0.2864743 0.3066353 0.3360344
#> [47,] 0.2841015 0.2800341 0.2800315 0.2860240 0.2995043 0.3212550 0.3511555
#> [48,] 0.2926391 0.2935532 0.2978236 0.3069995 0.3223393 0.3445679 0.3736856
#> [49,] 0.3134985 0.3195661 0.3279622 0.3398603 0.3563131 0.3780382 0.4052267
#> [50,] 0.3474386 0.3589056 0.3713845 0.3856759 0.4026490 0.4230561 0.4473365
#> [51,] 0.3949145 0.4121214 0.4287698 0.4452862 0.4623707 0.4808388 0.5014222
#> [52,] 0.4560363 0.4794282 0.5004775 0.5192302 0.5362202 0.5523418 0.5686462
#> [53,] 0.5305427 0.5606691 0.5864998 0.6076880 0.6245931 0.6381885 0.6498546
#> [54,] 0.6177906 0.6552955 0.6864327 0.7104438 0.7274951 0.7386229 0.7455283
#> [55,] 0.7167652 0.7623695 0.7994692 0.8268719 0.8445215 0.8534864 0.8557615
#> [56,] 0.8261098 0.8805874 0.9244163 0.9559464 0.9748620 0.9822191 0.9802619
#> [57,] 0.9441744 1.0083237 1.0597334 1.0962735 1.1173264 1.1238807 1.1183687
#> [58,] 1.0690789 1.1436921 1.2035886 1.2461414 1.2703881 1.2771864 1.2690829
#> [59,] 1.1987856 1.2846180 1.3539279 1.4035836 1.4322384 1.4405520 1.4311012
#> [60,] 1.3311734 1.4289144 1.5085498 1.5664480 1.6008462 1.6121411 1.6028493
#> [61,] 1.4641063 1.5743541 1.6651769 1.7324641 1.7740170 1.7899102 1.7825093
#> [62,] 1.5954900 1.7187312 1.8215196 1.8993033 1.9494439 1.9716464 1.9680388
#> [63,] 1.7233088 1.8599048 1.9753232 2.0646260 2.1247497 2.1549973 2.1571835
#> [64,] 1.8456435 1.9958227 2.1243974 2.2261135 2.2975157 2.3374922 2.3474837
#> [65,] 1.9606672 2.1245242 2.2666253 2.3814822 2.4652992 2.5165572 2.5362822
#> [66,] 2.0666268 2.2441250 2.3999566 2.5284857 2.6256424 2.6895285 2.7207368
#> [67,] 2.1618161 2.3527932 2.5223897 2.6649077 2.7760776 2.8536687 2.8978455
#> [68,] 2.2445534 2.4487243 2.6319530 2.7885536 2.9141345 3.0061921 3.0644894
#> [69,] 2.3131739 2.5301290 2.7266940 2.8972512 3.0373578 3.1443042 3.2174963
#> [70,] 2.3660515 2.5952443 2.8046895 2.9888677 3.1433410 3.2652592 3.3537276
#> [71,] 2.4016564 2.6423797 2.8640852 3.0613522 3.2297815 3.3664376 3.4701853
#> [72,] 2.4186545 2.6700024 2.9031718 3.1128095 3.2945614 3.4454439 3.5641368
#> [73,] 2.4160447 2.6768639 2.9204988 3.1416059 3.3358528 3.5002215 3.6332481
#> [74,] 2.3933230 2.6621581 2.9150219 3.1465046 3.3522461 3.5291800 3.6757203
#> [75,] 2.3506542 2.6256966 2.8862716 3.1268219 3.3428915 3.5313272 3.6904175
#> [76,] NA 2.5680786 2.8345243 3.0825886 3.3076449 3.5063963 3.6769791
#> [77,] NA 2.4908258 2.7609516 3.0146971 3.2472008 3.4549575 3.6359070
#> [78,] NA NA 2.6677185 2.9250094 3.1631928 3.3784989 3.5686182
#> [79,] NA NA NA 2.8164014 3.0582431 3.2794633 3.4774561
#> [80,] NA NA NA 2.6927197 2.9359384 3.1612242 3.3656500
#> [81,] NA NA NA NA 2.8007179 3.0279895 3.2372156
#> [82,] NA NA NA NA NA 2.8846253 3.0967923
#> [83,] NA NA NA NA NA NA 2.9494176
#> [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
#> [,15] [,16] [,17] [,18] [,19] [,20] [,21]
#> [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 0.27717733
#> [12,] NA NA NA NA NA 0.2135170 0.24207742
#> [13,] NA NA NA NA 0.1739659 0.1943416 0.21747239
#> [14,] NA NA NA 0.1561595 0.1700260 0.1850529 0.20136248
#> [15,] NA NA 0.1570876 0.1663160 0.1750556 0.1833690 0.19166317
#> [16,] NA 0.1733005 0.1798163 0.1842500 0.1865041 0.1869368 0.18629189
#> [17,] 0.2011428 0.2067884 0.2089154 0.2071782 0.2017820 0.1934436 0.18327131
#> [18,] 0.2434047 0.2451041 0.2414257 0.2323292 0.2183978 0.2007431 0.18083967
#> [19,] 0.2889049 0.2851825 0.2744631 0.2571005 0.2341026 0.2069828 0.17755485
#> [20,] 0.3345507 0.3241051 0.3053919 0.2792179 0.2470294 0.2107166 0.17237955
#> [21,] 0.3774664 0.3592807 0.3319902 0.2968781 0.2558081 0.2109916 0.16473838
#> [22,] 0.4151745 0.3886088 0.3525887 0.3088584 0.2596442 0.2073970 0.15454082
#> [23,] 0.4457492 0.4106072 0.3661661 0.3145803 0.2583529 0.2000716 0.14216847
#> [24,] 0.4679253 0.4244866 0.3723918 0.3141201 0.2523433 0.1896691 0.12842745
#> [25,] 0.4811500 0.4301679 0.3716090 0.3081661 0.2425555 0.1772832 0.11446996
#> [26,] 0.4855724 0.4282376 0.3647628 0.2979261 0.2303570 0.1643402 0.10169048
#> [27,] 0.4819742 0.4198488 0.3532808 0.2849958 0.2174066 0.1524672 0.09160385
#> [28,] 0.4716502 0.4065801 0.3389179 0.2711989 0.2054988 0.1433457 0.08571328
#> [29,] 0.4562527 0.3902662 0.3235817 0.2584155 0.1964000 0.1385617 0.08537727
#> [30,] 0.4376179 0.3728171 0.3091538 0.2484107 0.1916906 0.1394633 0.09168481
#> [31,] 0.4175902 0.3560440 0.2973224 0.2426796 0.1926245 0.1470369 0.10534839
#> [32,] 0.3978618 0.3415060 0.2894404 0.2423195 0.2000169 0.1618115 0.12662397
#> [33,] 0.3798417 0.3303901 0.2864205 0.2479405 0.2141716 0.1838002 0.15526598
#> [34,] 0.3645636 0.3234351 0.2886747 0.2596220 0.2348518 0.2124851 0.19052369
#> [35,] 0.3526407 0.3209036 0.2961047 0.2769188 0.2613006 0.2468493 0.23118229
#> [36,] 0.3442677 0.3226043 0.3081415 0.2989166 0.2923098 0.2854555 0.27564820
#> [37,] 0.3392692 0.3279601 0.3238321 0.3243338 0.3263329 0.3265671 0.32207373
#> [38,] 0.3371870 0.3361160 0.3419646 0.3516598 0.3616332 0.3683009 0.36851160
#> [39,] 0.3373969 0.3460751 0.3612192 0.3793181 0.3964531 0.4087999 0.41308559
#> [40,] 0.3392415 0.3568483 0.3803312 0.4058368 0.4291899 0.4464077 0.45416064
#> [41,] 0.3421647 0.3676018 0.3982479 0.4300116 0.4585583 0.4798285 0.49049464
#> [42,] 0.3458332 0.3777884 0.4142647 0.4510420 0.4837244 0.5082532 0.52135521
#> [43,] 0.3502318 0.3872467 0.4281251 0.4686285 0.5043955 0.5314402 0.54658830
#> [44,] 0.3557228 0.3962596 0.4400742 0.4830189 0.5208570 0.5497413 0.56663094
#> [45,] 0.3630631 0.4055655 0.4508626 0.4950015 0.5339543 0.5640695 0.58246726
#> [46,] 0.3733783 0.4163237 0.4617000 0.5058468 0.5450210 0.5758166 0.59553430
#> [47,] 0.3880986 0.4300382 0.4741672 0.5172068 0.5557674 0.5867301 0.60759039
#> [48,] 0.4088640 0.4484513 0.4900976 0.5309859 0.5681409 0.5987667 0.62056421
#> [49,] 0.4374107 0.4734199 0.5114442 0.5492000 0.5841797 0.6139428 0.63640414
#> [50,] 0.4754524 0.5067887 0.5401471 0.5738404 0.6058761 0.6341990 0.65694766
#> [51,] 0.5245670 0.5502741 0.5780170 0.6067587 0.6350656 0.6612961 0.68382628
#> [52,] 0.5861018 0.6053700 0.6266442 0.6495835 0.6733523 0.6967526 0.71841600
#> [53,] 0.6611017 0.6732810 0.6873404 0.7036724 0.7220754 0.7418261 0.76183532
#> [54,] 0.7502650 0.7548853 0.7611125 0.7701006 0.7823137 0.7975354 0.81498537
#> [55,] 0.8539256 0.8507250 0.8486646 0.8496768 0.8549181 0.8647113 0.87861924
#> [56,] 0.9720560 0.9610164 0.9504180 0.9429768 0.9405606 0.9440614 0.95342265
#> [57,] 1.1042863 1.0856710 1.0665389 1.0503795 1.0397807 1.0362290 1.04008561
#> [58,] 1.2499287 1.2243184 1.1969610 1.1720921 1.1530157 1.1418294 1.13934541
#> [59,] 1.4080020 1.3763217 1.3413934 1.3081531 1.2806001 1.2614478 1.25198547
#> [60,] 1.5772492 1.5407791 1.4993079 1.4584055 1.4227276 1.3955923 1.37878092
#> [61,] 1.7561445 1.7165096 1.6699021 1.6224394 1.5793742 1.5446001 1.52039056
#> [62,] 1.9428900 1.9020238 1.8520440 1.7995092 1.7501894 1.7085049 1.67720417
#> [63,] 2.1354055 2.0954870 2.0442046 1.9884360 1.9343689 1.8868819 1.84916252
#> [64,] 2.3313150 2.2946814 2.2443928 2.1875117 2.1305282 2.0786916 2.03557447
#> [65,] 2.5279407 2.4969800 2.4501051 2.3944228 2.3365980 2.2821480 2.23495928
#> [66,] 2.7223101 2.6993435 2.6583069 2.6062117 2.5497644 2.4946361 2.44494206
#> [67,] 2.9111861 2.8983500 2.8654572 2.8192924 2.7664712 2.7126997 2.66222656
#> [68,] 3.0911245 3.0902637 3.0675845 3.0295290 2.9824979 2.9321144 2.88266096
#> [69,] 3.2585624 3.2711463 3.2604171 3.2323806 3.1931143 3.1480489 3.10140208
#> [70,] 3.4099367 3.4370069 3.4395624 3.4231069 3.3933076 3.3553080 3.31316998
#> [71,] 3.5418260 3.5839808 3.6007231 3.5970179 3.5780625 3.5486381 3.51257287
#> [72,] 3.6511090 3.7085265 3.7399329 3.7497489 3.7426705 3.7230668 3.69447115
#> [73,] 3.7351256 3.8076206 3.8537899 3.8775313 3.8830376 3.8742418 3.85434240
#> [74,] 3.7918306 3.8789367 3.9396650 3.9774340 3.9959568 3.9987325 3.98860700
#> [75,] 3.8199263 3.9209901 3.9958653 4.0475486 4.0793172 4.0942610 4.09487732
#> [76,] 3.8189649 3.9332370 4.0217372 4.0871012 4.1322266 4.1598364 4.17210198
#> [77,] 3.7894129 3.9161214 4.0177000 4.0964793 4.1550362 4.1957786 4.22058927
#> [78,] 3.7326730 3.8710659 3.9852110 4.0771747 4.1492662 4.2036313 4.24190832
#> [79,] 3.6510605 3.8004108 3.9266664 4.0316511 4.1174438 4.1859745 4.23868120
#> [80,] 3.5477333 3.7073054 3.8452512 3.9631515 4.0628732 4.1461614 4.21429076
#> [81,] 3.4265727 3.5955571 3.7447488 3.8754665 3.9893618 4.0880076 4.17253739
#> [82,] 3.2920178 3.4694475 3.6293269 3.7726831 3.9009316 4.0154646 4.11728057
#> [83,] 3.1488541 3.3335197 3.5033111 3.6589346 3.8015384 3.9323101 4.05210042
#> [84,] 3.0019660 3.1923486 3.3709589 3.5381669 3.6948236 3.8418791 3.98000993
#> [85,] NA 3.0503057 3.2362470 3.4139378 3.5839148 3.7468601 3.90324286
#> [86,] NA NA 3.1026903 3.2892636 3.4712918 3.6491720 3.82313656
#> [87,] NA NA NA 3.1665291 3.3587313 3.5499359 3.74012367
#> [88,] NA NA NA NA 3.2473427 3.4495510 3.65384125
#> [89,] NA NA NA NA NA 3.3478786 3.56335922
#> [90,] NA NA NA NA NA NA 3.46751993
#> [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
#> [,22] [,23] [,24] [,25] [,26] [,27]
#> [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 0.958761756
#> [8,] NA NA NA NA 0.77135461 0.853846425
#> [9,] NA NA 0.54165620 0.607757211 0.67961725 0.756204496
#> [10,] NA 0.415067172 0.46981607 0.530191800 0.59551543 0.664981032
#> [11,] 0.31527318 0.358726484 0.40725487 0.460518323 0.51807853 0.579365132
#> [12,] 0.27482421 0.311696641 0.35265402 0.397612313 0.44638147 0.498617844
#> [13,] 0.24343722 0.272431895 0.30468900 0.340388529 0.37957871 0.422120963
#> [14,] 0.21930477 0.239368494 0.26207013 0.287844016 0.31695316 0.349433203
#> [15,] 0.20060242 0.210983428 0.22359827 0.239110811 0.25796460 0.280331853
#> [16,] 0.18556893 0.185866519 0.18822651 0.193504434 0.20228139 0.214823691
#> [17,] 0.17259731 0.162795512 0.15511576 0.150556294 0.14978635 0.153121048
#> [18,] 0.16032508 0.140802694 0.12367474 0.110024882 0.10055736 0.095590607
#> [19,] 0.14771210 0.119224516 0.09358061 0.071887349 0.05483059 0.042689360
#> [20,] 0.13409698 0.097729867 0.06478075 0.036317271 0.01295699 0.000000000
#> [21,] 0.11922701 0.076326070 0.03747889 0.003655138 0.00000000 0.000000000
#> [22,] 0.10325938 0.055343723 0.01210893 0.000000000 0.00000000 0.000000000
#> [23,] 0.08673446 0.035402296 0.00000000 0.000000000 0.00000000 0.000000000
#> [24,] 0.07052290 0.017358527 0.00000000 0.000000000 0.00000000 0.000000000
#> [25,] 0.05575010 0.002239663 0.00000000 0.000000000 0.00000000 0.000000000
#> [26,] 0.04370224 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [27,] 0.03571898 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [28,] 0.03307901 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [29,] 0.03688548 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [30,] 0.04795932 0.007710684 0.00000000 0.000000000 0.00000000 0.000000000
#> [31,] 0.06674872 0.030384215 0.00000000 0.000000000 0.00000000 0.000000000
#> [32,] 0.09326359 0.060646789 0.02795999 0.000000000 0.00000000 0.000000000
#> [33,] 0.12704240 0.097869421 0.06691157 0.033829898 0.00000000 0.000000000
#> [34,] 0.16715778 0.141006909 0.11126820 0.077764116 0.04089759 0.001535477
#> [35,] 0.21226397 0.188649072 0.15961704 0.125192456 0.08606469 0.043432768
#> [36,] 0.26068552 0.239109990 0.21032554 0.174589027 0.13289391 0.086777431
#> [37,] 0.31054247 0.290550227 0.26165794 0.224372352 0.17999473 0.130392324
#> [38,] 0.35990210 0.341122448 0.31191160 0.273030101 0.22607598 0.173223729
#> [39,] 0.40694389 0.389127043 0.35956041 0.319247950 0.27005867 0.214437478
#> [40,] 0.45012106 0.433161739 0.40338982 0.362028225 0.31117718 0.253502292
#> [41,] 0.48830130 0.472248598 0.44260802 0.400783896 0.34905553 0.290248619
#> [42,] 0.52087089 0.505923358 0.47691926 0.435395404 0.38374789 0.324893414
#> [43,] 0.54778970 0.534275942 0.50654952 0.466221780 0.41573591 0.358025045
#> [44,] 0.56959065 0.557936673 0.53222023 0.494063019 0.44588123 0.390547516
#> [45,] 0.58732376 0.578009614 0.55507248 0.520077015 0.47533717 0.423588763
#> [46,] 0.60245246 0.595961438 0.57655084 0.545660749 0.50542946 0.458383122
#> [47,] 0.61671588 0.613480385 0.59826167 0.572310658 0.53752111 0.496142381
#> [48,] 0.63197583 0.632324080 0.62182480 0.601480587 0.57287872 0.537932301
#> [49,] 0.65006860 0.654176611 0.64873828 0.634456575 0.61255896 0.584571723
#> [50,] 0.67268117 0.680533877 0.68027488 0.672265851 0.65733107 0.636569089
#> [51,] 0.70126717 0.712631993 0.71742400 0.715632857 0.70764709 0.694106604
#> [52,] 0.73701161 0.751426965 0.76088630 0.764988447 0.76366486 0.757075924
#> [53,] 0.78084568 0.797625840 0.81112029 0.820530556 0.82532111 0.825161911
#> [54,] 0.83350462 0.851761260 0.86843186 0.882326592 0.89244440 0.897963706
#> [55,] 0.89561451 0.914294072 0.93309056 0.950440813 0.96489087 0.975136139
#> [56,] 0.96778838 0.985723352 1.00545127 1.025065036 1.04268119 1.056530213
#> [57,] 1.05070992 1.066680919 1.08605772 1.106628972 1.12611533 1.142309867
#> [58,] 1.14518382 1.157988483 1.17570552 1.195867776 1.21584301 1.233023671
#> [59,] 1.25213596 1.260660077 1.27544700 1.293829073 1.31287249 1.329614748
#> [60,] 1.37255426 1.375839869 1.38652763 1.401809351 1.41850785 1.433359486
#> [61,] 1.50736949 1.504675012 1.51025381 1.521219372 1.53421436 1.545734940
#> [62,] 1.65728588 1.648133576 1.64780232 1.653388990 1.66142242 1.668225088
#> [63,] 1.82258032 1.806787472 1.79999171 1.799332067 1.80129052 1.802086025
#> [64,] 2.00289646 1.980588138 1.96704468 1.959500524 1.95445611 1.948098430
#> [65,] 2.19706422 2.168667261 2.14837457 2.133561656 2.12080860 2.106340827
#> [66,] 2.40297528 2.369195164 2.34243028 2.320233526 2.29931934 2.276018185
#> [67,] 2.61754085 2.579325048 2.54662913 2.517208991 2.48795962 2.455376633
#> [68,] 2.83674951 2.795242413 2.75739818 2.721189801 2.68372859 2.641726389
#> [69,] 3.05583105 3.012326517 2.97033178 2.928039112 2.88279999 2.831582173
#> [70,] 3.26951857 3.225416114 3.18045765 3.133045119 3.08078088 3.020914765
#> [71,] 3.47238735 3.429157106 3.38258864 3.331272648 3.27305920 3.205491157
#> [72,] 3.65923715 3.618397120 3.57172387 3.517965664 3.45520302 3.381266252
#> [73,] 3.82547702 3.788583628 3.74345404 3.688954205 3.62336409 3.544778890
#> [74,] 3.96746893 3.936119448 3.89432272 3.841015937 3.77463508 3.693500905
#> [75,] 4.08279041 4.058633117 4.02209897 3.972146219 3.90731309 3.826091229
#> [76,] 4.17038505 4.155131313 4.12592711 4.081701074 4.02103282 3.942517498
#> [77,] 4.23058371 4.226014867 4.20633419 4.170393191 4.11674894 4.044023954
#> [78,] 4.26499463 4.272956775 4.26509398 4.240139762 4.19656648 4.132944229
#> [79,] 4.27627671 4.298657264 4.30496342 4.293779493 4.26343751 4.212377649
#> [80,] 4.26782271 4.306504953 4.32932278 4.334691717 4.32075875 4.285765009
#> [81,] 4.24338842 4.300182456 4.34176028 4.366360924 4.37191576 4.356411635
#> [82,] 4.20670714 4.283258679 4.34564588 4.391934111 4.41982399 4.427010604
#> [83,] 4.16112779 4.258808837 4.34373779 4.413816607 4.46651457 4.499217204
#> [84,] 4.10931058 4.229098231 4.33785925 4.433345677 4.51280643 4.573318423
#> [85,] 4.05300767 4.195358910 4.32867580 4.450572653 4.55809607 4.648030648
#> [86,] 3.99294971 4.157681110 4.31559499 4.464175411 4.60028661 4.720447258
#> [87,] 3.92885301 4.115034592 4.29680356 4.471515045 4.63586850 4.786147138
#> [88,] 3.85955588 4.065428428 4.26945000 4.468843455 4.66015640 4.839465984
#> [89,] 3.78328507 4.006209981 4.22997288 4.451661015 4.66767920 4.873923920
#> [90,] 3.69804280 3.934492965 4.17456475 4.415213506 4.65271063 4.882793689
#> [91,] NA 3.847689186 4.09974630 4.355103424 4.60991505 4.859781878
#> [92,] NA NA 4.00300617 4.267972012 4.53506561 4.799780194
#> [93,] NA NA NA NA 4.42577146 4.699625379
#> [94,] NA NA NA NA NA 4.558787077
#> [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
#> [,28] [,29] [,30] [,31] [,32] [,33]
#> [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 1.71649442 1.819970711
#> [6,] NA 1.26768001 1.36969575 1.471880721 1.57238845 1.669531794
#> [7,] 1.05067016 1.14577710 1.24234204 1.338626693 1.43296882 1.523856172
#> [8,] 0.94045465 1.02969833 1.12003622 1.209924688 1.29788277 1.382560076
#> [9,] 0.83635720 0.91880715 1.00221675 1.085229500 1.16653084 1.244914009
#> [10,] 0.73765120 0.81246889 0.88828817 0.963922181 1.03820380 1.110052046
#> [11,] 0.64365901 0.71009835 0.77770824 0.845450233 0.91228559 0.977243927
#> [12,] 0.55380144 0.61124163 0.67010996 0.729494476 0.78846706 0.846154871
#> [13,] 0.46766692 0.51566868 0.56541824 0.616108320 0.66690457 0.717019388
#> [14,] 0.38507458 0.42344122 0.46391886 0.505783205 0.54827681 0.590684477
#> [15,] 0.30610545 0.33492887 0.36625463 0.399419732 0.43372639 0.468517904
#> [16,] 0.23108825 0.25076550 0.27334823 0.298213530 0.32470602 0.352212958
#> [17,] 0.16054265 0.17175717 0.18627285 0.203487189 0.22277119 0.243542181
#> [18,] 0.09509558 0.09876559 0.10610294 0.116509148 0.12936826 0.144116050
#> [19,] 0.03539130 0.03259409 0.03377804 0.038337160 0.04565957 0.055191629
#> [20,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [21,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [22,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [23,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [24,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [25,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [26,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [27,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [28,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [29,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [30,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [31,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [32,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [33,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [34,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [35,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [36,] 0.03808883 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [37,] 0.07773445 0.02423376 0.00000000 0.000000000 0.00000000 0.000000000
#> [38,] 0.11693208 0.05966360 0.00365054 0.000000000 0.00000000 0.000000000
#> [39,] 0.15508926 0.09468134 0.03559967 0.000000000 0.00000000 0.000000000
#> [40,] 0.19190031 0.12918930 0.06785925 0.009904238 0.00000000 0.000000000
#> [41,] 0.22738849 0.16338319 0.10077254 0.041563762 0.00000000 0.000000000
#> [42,] 0.26191626 0.19774945 0.13492599 0.075420573 0.02058515 0.000000000
#> [43,] 0.29615928 0.23302982 0.17110612 0.112285610 0.05783888 0.008438947
#> [44,] 0.33104398 0.27015413 0.21022898 0.153046616 0.09976728 0.050972216
#> [45,] 0.36765431 0.31014690 0.25324805 0.198578238 0.14716219 0.099476413
#> [46,] 0.40711753 0.35401779 0.30105009 0.249644086 0.20066809 0.154484452
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#> [2,] NA 3.11153890 3.18903365 3.26375143 3.33734402 3.411595689
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#> [98,] 5.73330938 5.73273130 5.70993873 5.66706799 5.60631486 5.529807828
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#> [2,] 3.48833246 3.56933186 3.65623626 3.750472100 3.85317712 3.96513730
#> [3,] 3.19127697 3.26215795 3.33942570 3.424543423 3.51868610 3.62268204
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#> [73,] 1.04352256 0.98067150 0.92123265 0.863563450 0.80651021 0.74944934
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#> [80,] 2.10437343 2.06765649 2.03511864 2.004801518 1.97517901 1.94517871
#> [81,] 2.33389128 2.29937247 2.26955357 2.242454184 2.21645650 2.19033132
#> [82,] 2.59195716 2.55832532 2.52988981 2.504660211 2.48092640 2.45729163
#> [83,] 2.87997067 2.84560673 2.81683149 2.791663165 2.76830838 2.74520435
#> [84,] 3.19752724 3.16058416 3.12943139 3.102122540 3.07680193 3.05175760
#> [85,] 3.54182132 3.50034698 3.46458949 3.432673145 3.40271394 3.37288446
#> [86,] 3.90716225 3.85925831 3.81665249 3.777582524 3.74018253 3.70255996
#> [87,] 4.28471621 4.22871879 4.17721145 4.128593086 4.08107233 4.03275577
#> [88,] 4.66257772 4.59723919 4.53518586 4.475026519 4.41510633 4.35360443
#> [89,] 5.02623845 4.95088543 4.87725105 4.804199112 4.73027306 4.65380040
#> [90,] 5.35946259 5.27410506 5.18861618 5.102151265 5.01350727 4.92123066
#> [91,] 5.64550813 5.55087894 5.45409978 5.354641361 5.25159679 5.14378949
#> [92,] 5.86856559 5.76607910 5.65939416 5.548305303 5.43222755 5.31030069
#> [93,] 6.01523831 5.90686996 5.79237021 5.671849999 5.54505280 5.41145230
#> [94,] 6.07587205 5.96397477 5.84426218 5.717139787 5.58266746 5.44064799
#> [95,] 6.04556177 5.93264748 5.81058785 5.680050082 5.54138262 5.39469298
#> [96,] 5.92471470 5.81323577 5.69169999 5.560996409 5.42172321 5.27425357
#> [97,] 5.71911601 5.61128064 5.49291527 5.365088169 5.22860239 5.08404918
#> [98,] 5.43951045 5.33715612 5.22421539 5.101893091 4.97115064 4.83274677
#> [99,] 5.10076151 5.00529497 4.89954869 4.784822424 4.66219036 4.53252925
#> [100,] NA NA NA NA NA NA
#> [,52] [,53] [,54] [,55] [,56] [,57]
#> [1,] NA NA NA NA NA NA
#> [2,] 4.08673538 4.21791230 4.35814323 4.50642909 4.66130427 4.82086053
#> [3,] 3.73696536 3.86154117 3.99596477 4.13933597 4.29030912 4.44711854
#> [4,] 3.40984370 3.52657193 3.65341013 3.78954781 3.93375591 4.08441402
#> [5,] 3.11292489 3.22126830 3.33953666 3.46699602 3.60252325 3.74463531
#> [6,] 2.84924470 2.94937756 3.05891132 3.17716992 3.30311724 3.43538825
#> [7,] 2.61805419 2.71082847 2.81226172 2.92171142 3.03820107 3.16045329
#> [8,] 2.41577328 2.50262785 2.59730515 2.69916727 2.80726312 2.92036336
#> [9,] 2.23703673 2.31984241 2.40965587 2.50581316 2.60735070 2.71304204
#> [10,] 2.07571007 2.15655984 2.24372221 2.33647853 2.43381569 2.53446441
#> [11,] 1.92577113 2.00673972 2.09351923 2.18531391 2.28102977 2.37931413
#> [12,] 1.78198453 1.86488978 1.95334184 2.04645527 2.14303430 2.24161263
#> [13,] 1.64033374 1.72653313 1.81826533 1.91455487 2.01409694 2.11529616
#> [14,] 1.49821357 1.58846302 1.68446383 1.78516320 1.88915511 1.99471685
#> [15,] 1.35441591 1.44880689 1.54935735 1.65496160 1.76413504 1.87504660
#> [16,] 1.20896141 1.30693939 1.41161300 1.52185730 1.63614392 1.75256762
#> [17,] 1.06283614 1.16329110 1.27103440 1.38496070 1.50354083 1.62484106
#> [18,] 0.91768874 1.01909951 1.12837509 1.24446944 1.36589900 1.49075341
#> [19,] 0.77553220 0.87614117 0.98510907 1.10148539 1.22387694 1.35044941
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#> [25,] 0.08897149 0.15440849 0.22768668 0.30868851 0.39699702 0.49185985
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#> [71,] 0.46774224 0.41145335 0.35663065 0.30392273 0.25405272 0.20771411
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#> [76,] 1.11729083 1.06685529 1.01639057 0.96668777 0.91856925 0.87276947
#> [77,] 1.28866789 1.24227628 1.19556335 1.14920919 1.10391868 1.06030770
#> [78,] 1.47768000 1.43591459 1.39350887 1.35097924 1.30886299 1.26761302
#> [79,] 1.68580479 1.64887182 1.61093528 1.57229778 1.53328249 1.49413973
#> [80,] 1.91414602 1.88176540 1.84795669 1.81276495 1.77626023 1.73845885
#> [81,] 2.16321133 2.13452547 2.10391145 2.07112373 2.03595167 1.99815832
#> [82,] 2.43265797 2.40617738 2.37718400 2.34512358 2.30949287 2.26979793
#> [83,] 2.72101942 2.69462381 2.66504487 2.63142042 2.59296161 2.54893203
#> [84,] 3.02543907 2.99645029 2.96352984 2.92553022 2.88140501 2.83020922
#> [85,] 3.34145027 3.30678638 3.26738359 3.22185418 3.16894342 3.10755029
#> [86,] 3.66285089 3.61926018 3.57009373 3.51378976 3.44895338 3.37439577
#> [87,] 3.98172130 3.92608061 3.86403573 3.79393381 3.71432206 3.62400233
#> [88,] 4.28862315 4.21827029 4.14073689 4.05437193 3.95775387 3.84975686
#> [89,] 4.57299446 4.48605264 4.39125110 4.28703473 4.17210069 4.04547173
#> [90,] 4.82372762 4.71937360 4.60661955 4.48409207 4.35068358 4.20562818
#> [91,] 5.02988724 4.90851771 4.77838081 4.63835324 4.48758020 4.32554941
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#> [64,] 0.3633658 0.4182754 0.4698226 0.5155438 0.5522748 NA NA
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#> [71,] 0.5344962 0.5934528 NA NA NA NA NA
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#> [73,] 0.5607007 NA NA NA NA NA NA
#> [74,] 0.5692992 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" "spherical.density"