Computes a pairwise distance matrix in Rust and returns a standard
stats::dist object, so the result works anywhere a dist does:
shoal_hclust(), stats::cmdscale(), stats::as.dendrogram(),
cluster::pam() and so on.
Usage
shoal_dist(
x,
metric = c("euclidean", "maximum", "manhattan", "canberra", "binary", "minkowski",
"cosine", "correlation", "mahalanobis"),
p = 2,
cov = NULL
)Arguments
- x
A numeric matrix or data frame. Data frames are coerced to a matrix using their numeric columns (non-numeric columns are dropped). Rows containing missing or non-finite values are removed.
- metric
Distance metric. One of
"euclidean","maximum","manhattan","canberra","binary","minkowski","cosine","correlation"or"mahalanobis".- p
Power for
metric = "minkowski". Ignored otherwise. Default2.- cov
Covariance matrix for
metric = "mahalanobis",ncol(x)square and positive definite.NULL(default) usesstats::cov()ofx, which needs more rows than columns. Ignored for other metrics.
Value
An object of class "dist": the lower triangle of the distance
matrix stored column-major, with Size, Labels, Diag, Upper,
method and call attributes.
Details
Metrics shared with stats::dist() follow its definitions exactly, including
the way "canberra" drops and rescales degenerate terms and the way
"binary" treats non-zero entries as "on". Note that "canberra" divides
by |x| + |y|, which is what stats::dist() computes; its documentation
writes |x + y|, and the two differ on signed data. "cosine" matches the
metric = "cosine" option on shoal_dbscan() and shoal_hdbscan().
"mahalanobis" is the Euclidean distance after the columns have been
decorrelated and scaled by a covariance matrix, by default the sample
covariance of x: features on different scales or correlated with one
another then count once rather than several times. It is computed by
whitening x with the Cholesky factor of the covariance and taking
Euclidean distances, so it costs the same as "euclidean" plus one
p x p factorisation. Pass cov to measure against a reference
covariance rather than the sample's own.
See also
shoal_hclust(), which consumes the result.
Examples
d <- shoal_dist(as.matrix(iris[, 1:4]))
d
#> 1 2 3 4 5 6 7
#> 2 0.5385165
#> 3 0.5099020 0.3000000
#> 4 0.6480741 0.3316625 0.2449490
#> 5 0.1414214 0.6082763 0.5099020 0.6480741
#> 6 0.6164414 1.0908712 1.0862780 1.1661904 0.6164414
#> 7 0.5196152 0.5099020 0.2645751 0.3316625 0.4582576 0.9949874
#> 8 0.1732051 0.4242641 0.4123106 0.5000000 0.2236068 0.7000000 0.4242641
#> 9 0.9219544 0.5099020 0.4358899 0.3000000 0.9219544 1.4594520 0.5477226
#> 10 0.4690416 0.1732051 0.3162278 0.3162278 0.5291503 1.0099505 0.4795832
#> 11 0.3741657 0.8660254 0.8831761 1.0000000 0.4242641 0.3464102 0.8660254
#> 12 0.3741657 0.4582576 0.3741657 0.3741657 0.3464102 0.8124038 0.3000000
#> 13 0.5916080 0.1414214 0.2645751 0.2645751 0.6403124 1.1618950 0.4898979
#> 14 0.9949874 0.6782330 0.5000000 0.5196152 0.9746794 1.5716234 0.6164414
#> 15 0.8831761 1.3601471 1.3638182 1.5297059 0.9165151 0.6782330 1.3601471
#> 16 1.1045361 1.6278821 1.5874508 1.7146428 1.0862780 0.6164414 1.4933185
#> 17 0.5477226 1.0535654 1.0099505 1.1661904 0.5477226 0.4000000 0.9539392
#> 18 0.1000000 0.5477226 0.5196152 0.6557439 0.1732051 0.5916080 0.5099020
#> 19 0.7416198 1.1747340 1.2369317 1.3228757 0.7937254 0.3316625 1.2083046
#> 20 0.3316625 0.8366600 0.7549834 0.8660254 0.2645751 0.3872983 0.6480741
#> 21 0.4358899 0.7071068 0.8306624 0.8774964 0.5385165 0.5385165 0.8602325
#> 22 0.3000000 0.7615773 0.7000000 0.8062258 0.2645751 0.4123106 0.6000000
#> 23 0.6480741 0.7810250 0.5099020 0.7071068 0.5656854 1.1224972 0.4582576
#> 24 0.4690416 0.5567764 0.6480741 0.6480741 0.5291503 0.6782330 0.6244998
#> 25 0.5916080 0.6480741 0.6403124 0.5385165 0.5744563 0.8306624 0.5477226
#> 26 0.5477226 0.2236068 0.4690416 0.4242641 0.6324555 1.0099505 0.6082763
#> 27 0.3162278 0.5000000 0.5099020 0.5477226 0.3464102 0.6480741 0.4582576
#> 28 0.1414214 0.5916080 0.6164414 0.7211103 0.2449490 0.5291503 0.6244998
#> 29 0.1414214 0.5000000 0.5477226 0.6782330 0.2828427 0.6480741 0.6082763
#> 30 0.5385165 0.3464102 0.3000000 0.1732051 0.5385165 1.0148892 0.3162278
#> 31 0.5385165 0.2449490 0.3316625 0.2236068 0.5744563 1.0246951 0.4242641
#> 32 0.3872983 0.6782330 0.7810250 0.8774964 0.5000000 0.5385165 0.8124038
#> 33 0.6244998 1.1489125 1.0535654 1.1704700 0.5567764 0.4582576 0.9486833
#> 34 0.8062258 1.3416408 1.2845233 1.4247807 0.7810250 0.4795832 1.2083046
#> 35 0.4582576 0.1414214 0.3000000 0.3000000 0.5196152 0.9848858 0.4472136
#> 36 0.3741657 0.3000000 0.3162278 0.5099020 0.4472136 0.9695360 0.5000000
#> 37 0.4123106 0.7874008 0.8544004 1.0049876 0.5196152 0.6082763 0.9165151
#> 38 0.2449490 0.6082763 0.4690416 0.6000000 0.1414214 0.7211103 0.4123106
#> 39 0.8660254 0.5099020 0.3605551 0.3000000 0.8544004 1.4177447 0.4690416
#> 40 0.1414214 0.4582576 0.4898979 0.5830952 0.2449490 0.6480741 0.5196152
#> 41 0.1732051 0.5291503 0.4358899 0.6082763 0.1732051 0.7000000 0.4242641
#> 42 1.3490738 0.8185353 0.9273618 0.8366600 1.4000000 1.8814888 1.1090537
#> 43 0.7681146 0.5477226 0.3000000 0.3000000 0.7280110 1.3000000 0.3162278
#> 44 0.4582576 0.6782330 0.6557439 0.7000000 0.4582576 0.6082763 0.5477226
#> 45 0.6164414 0.9848858 0.9591663 0.9695360 0.5830952 0.3741657 0.8185353
#> 46 0.5916080 0.1414214 0.2645751 0.2645751 0.6403124 1.1269428 0.4472136
#> 47 0.3605551 0.8485281 0.7810250 0.8660254 0.3000000 0.3872983 0.6782330
#> 48 0.5830952 0.3605551 0.1414214 0.1414214 0.5656854 1.1224972 0.2236068
#> 49 0.3000000 0.8124038 0.8062258 0.9219544 0.3316625 0.3605551 0.7745967
#> 50 0.2236068 0.3162278 0.3316625 0.4582576 0.3000000 0.8062258 0.4242641
#> 51 4.0037482 4.0963398 4.2766810 4.1773197 4.0607881 3.6124784 4.2308392
#> 52 3.6166283 3.6864617 3.8496753 3.7336309 3.6633318 3.2465366 3.7854986
#> 53 4.1641326 4.2367440 4.4158804 4.3058100 4.2190046 3.7868192 4.3669211
#> 54 3.0935417 2.9698485 3.1543621 2.9849623 3.1480152 2.9444864 3.1272992
#> 55 3.7920970 3.8118237 3.9974992 3.8729833 3.8496753 3.4698703 3.9560081
#> 56 3.4161382 3.3911650 3.5510562 3.3926391 3.4568772 3.1543621 3.4899857
#> 57 3.7854986 3.8600518 4.0112342 3.8897301 3.8249183 3.4073450 3.9344631
#> 58 2.3452079 2.1470911 2.3065125 2.1118712 2.3874673 2.3280893 2.2781571
#> 59 3.7496667 3.7881394 3.9749214 3.8548671 3.8078866 3.4146742 3.9357337
#> 60 2.8879058 2.8053520 2.9495762 2.7784888 2.9223278 2.7055499 2.8827071
#> 61 2.7037012 2.4617067 2.6476405 2.4515301 2.7586228 2.7147744 2.6495283
#> 62 3.2280025 3.2449961 3.4029399 3.2680269 3.2710854 2.9189039 3.3361655
#> 63 3.1464265 3.0413813 3.2588341 3.1080541 3.2186954 2.9832868 3.2634338
#> 64 3.7000000 3.7121422 3.8794329 3.7376463 3.7456642 3.3896903 3.8209946
#> 65 2.5806976 2.5592968 2.7202941 2.5806976 2.6267851 2.3366643 2.6627054
#> 66 3.6276714 3.7000000 3.8807216 3.7762415 3.6851052 3.2588341 3.8353618
#> 67 3.4351128 3.4336569 3.5749126 3.4205263 3.4669872 3.1464265 3.4942810
#> 68 3.0099834 2.9715316 3.1527766 3.0000000 3.0626786 2.7784888 3.1160873
#> 69 3.7682887 3.6918830 3.8961519 3.7496667 3.8340579 3.5468296 3.8794329
#> 70 2.8827071 2.7928480 2.9782545 2.8160256 2.9376862 2.7073973 2.9495762
#> 71 3.8535698 3.8935845 4.0311289 3.8923001 3.8845849 3.5085610 3.9420807
#> 72 3.0757113 3.0740852 3.2588341 3.1304952 3.1336879 2.7928480 3.2202484
#> 73 4.0472213 4.0187063 4.2071368 4.0620192 4.1036569 3.7709415 4.1701319
#> 74 3.6578682 3.6565011 3.8314488 3.6851052 3.7067506 3.3674916 3.7828561
#> 75 3.4161382 3.4467376 3.6318040 3.5114100 3.4741906 3.0935417 3.5916570
#> 76 3.5972211 3.6510273 3.8340579 3.7229021 3.6551334 3.2465366 3.7907783
#> 77 4.0472213 4.0804412 4.2731721 4.1545156 4.1085277 3.7121422 4.2391037
#> 78 4.2449971 4.2953463 4.4698993 4.3497126 4.2965102 3.8832976 4.4147480
#> 79 3.5312887 3.5383612 3.7027017 3.5623026 3.5763109 3.2264532 3.6414283
#> 80 2.4939928 2.4186773 2.6153394 2.4698178 2.5573424 2.3194827 2.5980762
#> 81 2.8178006 2.7000000 2.8879058 2.7202941 2.8740216 2.6758176 2.8653098
#> 82 2.7018512 2.5787594 2.7712813 2.6038433 2.7604347 2.5729361 2.7549955
#> 83 2.8948230 2.8548205 3.0364453 2.8913665 2.9495762 2.6608269 2.9983329
#> 84 4.1352146 4.1170378 4.2825226 4.1279535 4.1785165 3.8470768 4.2225585
#> 85 3.4117444 3.3985291 3.5298725 3.3674916 3.4380227 3.1400637 3.4423829
#> 86 3.5199432 3.5972211 3.7322915 3.6069378 3.5510562 3.1448370 3.6414283
#> 87 3.9115214 3.9786933 4.1545156 4.0422766 3.9648455 3.5411862 4.1024383
#> 88 3.6180105 3.5580894 3.7669616 3.6262929 3.6864617 3.3867388 3.7549967
#> 89 3.0000000 2.9983329 3.1464265 2.9966648 3.0364453 2.7239677 3.0740852
#> 90 3.0215890 2.9291637 3.1032241 2.9376862 3.0708305 2.8407745 3.0626786
#> 91 3.3120990 3.2434549 3.4073450 3.2357379 3.3541020 3.1032241 3.3555923
#> 92 3.5958309 3.6221541 3.7854986 3.6482873 3.6400549 3.2726136 3.7229021
#> 93 3.0099834 2.9546573 3.1400637 2.9899833 3.0659419 2.7892651 3.1064449
#> 94 2.3874673 2.1794495 2.3537205 2.1633308 2.4372115 2.3748684 2.3388031
#> 95 3.1527766 3.1032241 3.2680269 3.1080541 3.1968735 2.9223278 3.2140317
#> 96 3.0740852 3.0789609 3.2326460 3.0838288 3.1128765 2.7910571 3.1654384
#> 97 3.1256999 3.1144823 3.2726136 3.1224990 3.1670175 2.8548205 3.2093613
#> 98 3.3451457 3.3645208 3.5425979 3.4132096 3.3985291 3.0347982 3.4957117
#> 99 2.0904545 1.9131126 2.0856654 1.9157244 2.1424285 2.0566964 2.0639767
#> 100 3.0577770 3.0298515 3.1953091 3.0446675 3.1032241 2.8053520 3.1400637
#> 101 5.2848841 5.3385391 5.4726593 5.3357286 5.3131911 4.9061186 5.3758720
#> 102 4.2083251 4.1809090 4.3347434 4.1773197 4.2461747 3.9255573 4.2638011
#> 103 5.3018865 5.3572381 5.5290144 5.4064776 5.3507009 4.9223978 5.4680892
#> 104 4.6904158 4.7085029 4.8682646 4.7222876 4.7307505 4.3566042 4.7989582
#> 105 5.0566788 5.0911688 5.2469038 5.1097945 5.0960769 4.6978719 5.1710734
#> 106 6.0950800 6.1595454 6.3364028 6.2153037 6.1457302 5.7052607 6.2801274
#> 107 3.5916570 3.4799425 3.6083237 3.4205263 3.6166283 3.4263683 3.5312887
#> 108 5.6364883 5.6868269 5.8660038 5.7384667 5.6877060 5.2659282 5.8137767
#> 109 5.0477718 5.0408333 5.2249402 5.0813384 5.1009803 4.7349762 5.1797683
#> 110 5.6391489 5.7471732 5.8940648 5.7844619 5.6762664 5.2057660 5.8077534
#> 111 4.3566042 4.4192760 4.5738387 4.4519659 4.3977267 3.9774364 4.4977772
#> 112 4.5199558 4.5210618 4.6936127 4.5530210 4.5683695 4.2011903 4.6368092
#> 113 4.8538644 4.9020404 5.0695167 4.9457052 4.9010203 4.4833024 5.0049975
#> 114 4.1904654 4.1340053 4.2918527 4.1303753 4.2308392 3.9370039 4.2272923
#> 115 4.4170126 4.4022721 4.5442271 4.3965896 4.4508426 4.1146081 4.4609416
#> 116 4.6260134 4.6808119 4.8270074 4.7010637 4.6626173 4.2497059 4.7423623
#> 117 4.6454279 4.6829478 4.8456166 4.7095647 4.6882833 4.2918527 4.7780749
#> 118 6.2401923 6.3694584 6.5207362 6.4140471 6.2785349 5.7913729 6.4397205
#> 119 6.4984614 6.5314623 6.7178866 6.5901442 6.5536250 6.1343296 6.6708320
#> 120 4.1412558 4.0620192 4.2508823 4.0877867 4.1964271 3.9179076 4.2190046
#> 121 5.1215232 5.1903757 5.3488316 5.2297227 5.1643005 4.7275787 5.2744668
#> 122 4.0286474 4.0024992 4.1436699 3.9862263 4.0607881 3.7483330 4.0620192
#> 123 6.2112801 6.2617889 6.4467046 6.3229740 6.2657801 5.8360946 6.3992187
#> 124 4.1097445 4.1060930 4.2813549 4.1436699 4.1605288 3.8013156 4.2284749
#> 125 4.9699095 5.0428167 5.1942276 5.0695167 5.0079936 4.5760245 5.1137071
#> 126 5.3122500 5.3898052 5.5587768 5.4387499 5.3591044 4.9173163 5.4963624
#> 127 3.9774364 3.9812058 4.1496988 4.0124805 4.0249224 3.6633318 4.0902323
#> 128 4.0074930 4.0311289 4.1856899 4.0472213 4.0472213 3.6742346 4.1121770
#> 129 4.8404545 4.8518038 5.0149776 4.8733972 4.8836462 4.5066617 4.9477268
#> 130 5.0970580 5.1584882 5.3385391 5.2172790 5.1497573 4.7222876 5.2886671
#> 131 5.5461698 5.5919585 5.7775427 5.6550862 5.6017854 5.1788030 5.7314920
#> 132 6.0141500 6.1546730 6.3126856 6.2153037 6.0572271 5.5596762 6.2401923
#> 133 4.8805737 4.8918299 5.0537115 4.9132474 4.9234135 4.5453273 4.9849774
#> 134 4.1605288 4.1689327 4.3416587 4.1988094 4.2083251 3.8457769 4.2871902
#> 135 4.5705580 4.5475268 4.7169906 4.5552168 4.6141088 4.2883563 4.6626173
#> 136 5.7887823 5.8600341 6.0406953 5.9321160 5.8438001 5.3916602 5.9883220
#> 137 4.8918299 4.9598387 5.0921508 4.9628621 4.9203658 4.5022217 4.9939964
#> 138 4.6065171 4.6508064 4.8062459 4.6690470 4.6454279 4.2473521 4.7318073
#> 139 3.8961519 3.9153544 4.0669399 3.9268308 3.9344631 3.5693137 3.9912404
#> 140 4.7968740 4.8600412 5.0269275 4.9101935 4.8445846 4.4124823 4.9618545
#> 141 5.0199602 5.0724747 5.2287666 5.1048996 5.0616203 4.6411206 5.1526692
#> 142 4.6368092 4.7021272 4.8682646 4.7602521 4.6861498 4.2497059 4.8031240
#> 143 4.2083251 4.1809090 4.3347434 4.1773197 4.2461747 3.9255573 4.2638011
#> 144 5.2573758 5.3207142 5.4753995 5.3497664 5.2971691 4.8682646 5.3972215
#> 145 5.1361464 5.2067264 5.3535035 5.2325902 5.1730069 4.7391982 5.2678269
#> 146 4.6540305 4.7000000 4.8641546 4.7455242 4.7010637 4.2848571 4.7968740
#> 147 4.2766810 4.2497059 4.4305756 4.2883563 4.3301270 3.9887341 4.3840620
#> 148 4.4598206 4.4988888 4.6615448 4.5332108 4.5044423 4.1024383 4.5934736
#> 149 4.6508064 4.7180504 4.8487112 4.7191101 4.6786750 4.2649736 4.7497368
#> 150 4.1400483 4.1533119 4.2988371 4.1496988 4.1737274 3.8183766 4.2178193
#> 8 9 10 11 12 13 14
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9 0.7874008
#> 10 0.3316625 0.5567764
#> 11 0.5000000 1.2845233 0.7874008
#> 12 0.2236068 0.6708204 0.3464102 0.6782330
#> 13 0.4690416 0.4242641 0.1732051 0.9327379 0.4582576
#> 14 0.9055385 0.3464102 0.7280110 1.3674794 0.8185353 0.5830952
#> 15 1.0440307 1.7916473 1.3114877 0.5830952 1.2328828 1.4317821 1.8083141
#> 16 1.2369317 1.9974984 1.5556349 0.7874008 1.3638182 1.6941074 2.0420578
#> 17 0.7000000 1.4317821 1.0099505 0.3464102 0.8602325 1.1269428 1.4662878
#> 18 0.2000000 0.9273618 0.5000000 0.3872983 0.3872983 0.6164414 1.0099505
#> 19 0.8366600 1.6124515 1.1000000 0.3872983 0.9949874 1.2569805 1.7320508
#> 20 0.4242641 1.1489125 0.7549834 0.3316625 0.5196152 0.8831761 1.2165525
#> 21 0.4472136 1.1575837 0.6244998 0.3605551 0.6082763 0.7874008 1.3190906
#> 22 0.3741657 1.0862780 0.7000000 0.3605551 0.4795832 0.8246211 1.1747340
#> 23 0.6708204 0.8306624 0.7745967 0.9486833 0.6633250 0.7549834 0.6855655
#> 24 0.3872983 0.9110434 0.5291503 0.6164414 0.4472136 0.6557439 1.1180340
#> 25 0.4472136 0.8124038 0.5196152 0.7810250 0.3000000 0.6480741 1.0295630
#> 26 0.4123106 0.6403124 0.2000000 0.8124038 0.4472136 0.3000000 0.8660254
#> 27 0.2236068 0.8306624 0.4472136 0.5477226 0.2828427 0.5744563 0.9949874
#> 28 0.2236068 1.0049876 0.5099020 0.2828427 0.4242641 0.6557439 1.1090537
#> 29 0.2236068 0.9433981 0.4472136 0.3741657 0.4472136 0.5744563 1.0344080
#> 30 0.3741657 0.4690416 0.2645751 0.8660254 0.2236068 0.3162278 0.6782330
#> 31 0.3741657 0.4898979 0.1732051 0.8544004 0.3000000 0.2449490 0.7211103
#> 32 0.4472136 1.1401754 0.6557439 0.3605551 0.6403124 0.7874008 1.2727922
#> 33 0.7348469 1.4491377 1.0440307 0.4582576 0.8185353 1.1747340 1.4764823
#> 34 0.9486833 1.7029386 1.2609520 0.5196152 1.0816654 1.3928388 1.7262677
#> 35 0.3162278 0.5477226 0.1000000 0.7810250 0.3316625 0.2000000 0.7348469
#> 36 0.3605551 0.7000000 0.3464102 0.7071068 0.4898979 0.3605551 0.7416198
#> 37 0.5477226 1.2569805 0.7549834 0.3000000 0.7681146 0.8717798 1.3190906
#> 38 0.2645751 0.8660254 0.5099020 0.5291503 0.3162278 0.6082763 0.9000000
#> 39 0.7483315 0.1414214 0.5567764 1.2369317 0.6403124 0.4242641 0.2449490
#> 40 0.1000000 0.8660254 0.3741657 0.4242641 0.3162278 0.5196152 0.9848858
#> 41 0.2449490 0.8602325 0.5000000 0.5000000 0.3872983 0.5830952 0.9055385
#> 42 1.2288206 0.6244998 0.9380832 1.6792856 1.1832160 0.7937254 0.7810250
#> 43 0.6633250 0.3162278 0.5567764 1.1357817 0.5385165 0.4690416 0.3162278
#> 44 0.4242641 0.9591663 0.6557439 0.6082763 0.4582576 0.7615773 1.1135529
#> 45 0.6082763 1.2609520 0.8831761 0.5477226 0.6164414 1.0344080 1.4177447
#> 46 0.4690416 0.4242641 0.2645751 0.9327379 0.4582576 0.2000000 0.6164414
#> 47 0.4242641 1.1575837 0.7416198 0.3316625 0.5000000 0.8831761 1.2409674
#> 48 0.4582576 0.3605551 0.3464102 0.9486833 0.3464102 0.3000000 0.4795832
#> 49 0.4242641 1.2083046 0.7280110 0.1000000 0.5916080 0.8717798 1.2884099
#> 50 0.1414214 0.7211103 0.2645751 0.5744563 0.3000000 0.3741657 0.8246211
#> 51 3.9648455 4.3794977 4.0435133 3.8065733 3.9912404 4.1785165 4.6882833
#> 52 3.5623026 3.9230090 3.6359318 3.4554305 3.5637059 3.7643060 4.2391037
#> 53 4.1170378 4.4977772 4.1856899 3.9824616 4.1327957 4.3162484 4.8135226
#> 54 2.9866369 3.0886890 2.9478806 3.0708305 2.9444864 3.0298515 3.4322005
#> 55 3.7296112 4.0435133 3.7709415 3.6496575 3.7336309 3.8897301 4.3692105
#> 56 3.3256578 3.5383612 3.3421550 3.3331667 3.2848135 3.4496377 3.8729833
#> 57 3.7282704 4.0767634 3.8065733 3.6290495 3.7188708 3.9344631 4.3931765
#> 58 2.2113344 2.1794495 2.1307276 2.4124676 2.1307276 2.1886069 2.5238859
#> 59 3.6918830 4.0360872 3.7389838 3.5916570 3.7013511 3.8639358 4.3577517
#> 60 2.7802878 2.8930952 2.7748874 2.8705400 2.7166155 2.8618176 3.2295511
#> 61 2.5690465 2.4939928 2.4556058 2.7730849 2.5000000 2.5019992 2.8390139
#> 62 3.1543621 3.4336569 3.2031235 3.1176915 3.1336879 3.3181320 3.7589892
#> 63 3.0545049 3.2326460 3.0133038 3.0822070 3.0463092 3.1064449 3.5707142
#> 64 3.6249138 3.9012818 3.6619667 3.5791060 3.6041643 3.7788887 4.2308392
#> 65 2.4959968 2.7367864 2.5258662 2.5099801 2.4698178 2.6324893 3.0643107
#> 66 3.5818989 3.9711459 3.6523965 3.4496377 3.6027767 3.7828561 4.2836900
#> 67 3.3481338 3.5707142 3.3852622 3.3496268 3.3015148 3.4942810 3.9000000
#> 68 2.9206164 3.1511903 2.9223278 2.9257478 2.8948230 3.0315013 3.4856850
#> 69 3.6837481 3.8768544 3.6687873 3.6851052 3.6742346 3.7643060 4.2154478
#> 70 2.7820855 2.9427878 2.7586228 2.8372522 2.7477263 2.8530685 3.2832910
#> 71 3.7815341 4.0570926 3.8457769 3.7349699 3.7483330 3.9623226 4.3794977
#> 72 3.0049958 3.2969683 3.0364453 2.9597297 3.0033315 3.1511903 3.6235342
#> 73 3.9686270 4.2083251 3.9799497 3.9370039 3.9547440 4.0877867 4.5442271
#> 74 3.5791060 3.8457769 3.6027767 3.5411862 3.5580894 3.7188708 4.1773197
#> 75 3.3555923 3.6905284 3.4014703 3.2695565 3.3630343 3.5242020 4.0124805
#> 76 3.5454196 3.9102430 3.6055513 3.4322005 3.5608988 3.7322915 4.2272923
#> 77 3.9912404 4.3324358 4.0348482 3.8858718 4.0049969 4.1581246 4.6551047
#> 78 4.1892720 4.5287967 4.2497059 4.0841156 4.1928511 4.3737855 4.8507731
#> 79 3.4554305 3.7229021 3.4942810 3.4190642 3.4336569 3.6083237 4.0521599
#> 80 2.4020824 2.6134269 2.3874673 2.4372115 2.3874673 2.4879711 2.9478806
#> 81 2.7110883 2.8337255 2.6720778 2.7928480 2.6720778 2.7586228 3.1764760
#> 82 2.5942244 2.7184554 2.5495098 2.6795522 2.5573424 2.6362853 3.0610456
#> 83 2.8089144 3.0413813 2.8178006 2.8142495 2.7892651 2.9240383 3.3749074
#> 84 4.0509258 4.2720019 4.0718546 4.0348482 4.0174619 4.1797129 4.6076024
#> 85 3.3181320 3.5085610 3.3496268 3.3436507 3.2588341 3.4539832 3.8379682
#> 86 3.4583233 3.7920970 3.5425979 3.3778692 3.4365681 3.6687873 4.1060930
#> 87 3.8613469 4.2320208 3.9293765 3.7389838 3.8729833 4.0583248 4.5486262
#> 88 3.5383612 3.7656341 3.5284558 3.5199432 3.5369478 3.6304270 4.1012193
#> 89 2.9137605 3.1543621 2.9495762 2.9154759 2.8740216 3.0610456 3.4828150
#> 90 2.9189039 3.0561414 2.9000000 2.9849623 2.8757608 2.9899833 3.3970576
#> 91 3.2093613 3.3615473 3.1984371 3.2603681 3.1575307 3.2954514 3.7013511
#> 92 3.5242020 3.8183766 3.5707142 3.4684290 3.5057096 3.6905284 4.1448764
#> 93 2.9206164 3.1320920 2.9189039 2.9359837 2.8982753 3.0215890 3.4684290
#> 94 2.2561028 2.2293497 2.1679483 2.4494897 2.1863211 2.2248595 2.5748786
#> 95 3.0577770 3.2449961 3.0626786 3.0886890 3.0166206 3.1638584 3.5818989
#> 96 2.9899833 3.2465366 3.0248967 2.9782545 2.9546573 3.1400637 3.5749126
#> 97 3.0397368 3.2771939 3.0675723 3.0380915 3.0049958 3.1780497 3.6083237
#> 98 3.2771939 3.5860842 3.3181320 3.2140317 3.2726136 3.4380227 3.9115214
#> 99 1.9697716 2.0049938 1.9104973 2.1424285 1.9157244 1.9748418 2.3452079
#> 100 2.9698485 3.1937439 2.9883106 2.9782545 2.9376862 3.0951575 3.5270384
#> 101 5.2191953 5.4972721 5.2924474 5.1487863 5.1874849 5.4092513 5.8189346
#> 102 4.1206796 4.3104524 4.1436699 4.1243181 4.0779897 4.2449971 4.6454279
#> 103 5.2478567 5.5821143 5.3113087 5.1332251 5.2488094 5.4350713 5.9059292
#> 104 4.6162756 4.8795492 4.6583259 4.5628938 4.5891176 4.7738873 5.2105662
#> 105 4.9899900 5.2706736 5.0467812 4.9183331 4.9689033 5.1633323 5.5982140
#> 106 6.0448325 6.3953108 6.1081912 5.9118525 6.0506198 6.2353829 6.7186308
#> 107 3.4741906 3.5028560 3.4525353 3.5972211 3.3882149 3.5256205 3.8379682
#> 108 5.5803226 5.9143892 5.6329388 5.4635154 5.5812185 5.7584720 6.2401923
#> 109 4.9749372 5.2316345 4.9979996 4.9173163 4.9618545 5.1097945 5.5668663
#> 110 5.5973208 5.9757845 5.6973678 5.4497706 5.5982140 5.8283788 6.2872888
#> 111 4.3000000 4.6292548 4.3749286 4.2023803 4.2918527 4.4977772 4.9487372
#> 112 4.4474712 4.7053161 4.4821870 4.3965896 4.4305756 4.5934736 5.0378567
#> 113 4.7968740 5.1176166 4.8600412 4.6968074 4.7937459 4.9809638 5.4415071
#> 114 4.0975602 4.2485292 4.1060930 4.1255303 4.0521599 4.1988094 4.5858478
#> 115 4.3358967 4.5276926 4.3760713 4.3324358 4.2953463 4.4743715 4.8559242
#> 116 4.5661800 4.8692915 4.6411206 4.4833024 4.5497253 4.7592016 5.1894123
#> 117 4.5793013 4.8774994 4.6324939 4.5011110 4.5628938 4.7528939 5.2048055
#> 118 6.2040309 6.6174013 6.3071388 6.0282667 6.2112801 6.4459289 6.9260378
#> 119 6.4420494 6.7557383 6.4876806 6.3300869 6.4459289 6.6075714 7.0851958
#> 120 4.0472213 4.2071368 4.0286474 4.0681691 4.0162171 4.1231056 4.5497253
#> 121 5.0695167 5.4074023 5.1468437 4.9547957 5.0665570 5.2706736 5.7271284
#> 122 3.9395431 4.1158231 3.9686270 3.9560081 3.8897301 4.0669399 4.4474712
#> 123 6.1587336 6.4984614 6.2112801 6.0315835 6.1660360 6.3364028 6.8242216
#> 124 4.0373258 4.2965102 4.0706265 3.9912404 4.0236799 4.1809090 4.6281746
#> 125 4.9142650 5.2488094 4.9919936 4.8062459 4.9030603 5.1176166 5.5686623
#> 126 5.2621288 5.6258333 5.3329167 5.1283526 5.2649786 5.4635154 5.9455866
#> 127 3.9051248 4.1677332 3.9446166 3.8600518 3.8884444 4.0558600 4.4977772
#> 128 3.9357337 4.2083251 3.9874804 3.8858718 3.9115214 4.1024383 4.5354162
#> 129 4.7686476 5.0259327 4.8114447 4.7148701 4.7465777 4.9234135 5.3572381
#> 130 5.0447993 5.4009258 5.1029403 4.9173163 5.0517324 5.2316345 5.7227616
#> 131 5.4927225 5.8300943 5.5443665 5.3721504 5.5009090 5.6683331 6.1554854
#> 132 5.9849812 6.4265076 6.0917978 5.7887823 6.0041652 6.2337790 6.7305275
#> 133 4.8093659 5.0645829 4.8538644 4.7560488 4.7874837 4.9648766 5.3953684
#> 134 4.0865633 4.3588989 4.1194660 4.0336088 4.0681691 4.2355637 4.6904158
#> 135 4.4833024 4.6968074 4.4933284 4.4665423 4.4463468 4.6021734 5.0338852
#> 136 5.7463032 6.1155539 5.8180753 5.5991071 5.7645468 5.9447456 6.4342832
#> 137 4.8311489 5.1322510 4.9142650 4.7486840 4.8052055 5.0338852 5.4497706
#> 138 4.5398238 4.8383882 4.5978256 4.4631827 4.5188494 4.7191101 5.1643005
#> 139 3.8223030 4.0853396 3.8729833 3.7815341 3.7947332 3.9862263 4.4124823
#> 140 4.7455242 5.0892043 4.8176758 4.6292548 4.7486840 4.9416596 5.4092513
#> 141 4.9628621 5.2735187 5.0338852 4.8682646 4.9537864 5.1526692 5.5955339
#> 142 4.5902070 4.9386233 4.6690470 4.4698993 4.6000000 4.7906158 5.2545219
#> 143 4.1206796 4.3104524 4.1436699 4.1243181 4.0779897 4.2449971 4.6454279
#> 144 5.2009614 5.5235858 5.2744668 5.0970580 5.1903757 5.3972215 5.8455111
#> 145 5.0823223 5.4064776 5.1652686 4.9779514 5.0714889 5.2867760 5.7245087
#> 146 4.5989129 4.9142650 4.6669048 4.5033321 4.5978256 4.7843495 5.2354560
#> 147 4.2000000 4.4294469 4.2201896 4.1701319 4.1844952 4.3243497 4.7644517
#> 148 4.3977267 4.7010637 4.4575778 4.3162484 4.3874822 4.5760245 5.0259327
#> 149 4.5891176 4.8887626 4.6722586 4.5110974 4.5617979 4.7916594 5.2057660
#> 150 4.0607881 4.3023250 4.1060930 4.0323690 4.0224371 4.2178193 4.6314145
#> 15 16 17 18 19 20 21
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
#> 11
#> 12
#> 13
#> 14
#> 15
#> 16 0.5477226
#> 17 0.4690416 0.6164414
#> 18 0.8888194 1.0908712 0.5196152
#> 19 0.5567764 0.6403124 0.5196152 0.7348469
#> 20 0.7937254 0.8544004 0.3872983 0.3162278 0.6324555
#> 21 0.8774964 1.0816654 0.6708204 0.4472136 0.5099020 0.5477226
#> 22 0.8426150 0.9219544 0.4123106 0.2449490 0.6480741 0.1414214 0.5099020
#> 23 1.2806248 1.4628739 0.9273618 0.6557439 1.3228757 0.7416198 1.0816654
#> 24 1.1489125 1.2727922 0.7874008 0.4123106 0.8062258 0.5744563 0.4358899
#> 25 1.3601471 1.4177447 1.0049876 0.6000000 1.0099505 0.6480741 0.6324555
#> 26 1.3416408 1.5811388 1.0488088 0.5567764 1.0723805 0.8185353 0.5744563
#> 27 1.0954451 1.2247449 0.7071068 0.2645751 0.8185353 0.4358899 0.4582576
#> 28 0.8366600 1.0488088 0.5291503 0.1732051 0.6244998 0.3316625 0.3000000
#> 29 0.8717798 1.1401754 0.5830952 0.1732051 0.7141428 0.4358899 0.3605551
#> 30 1.4177447 1.5779734 1.0535654 0.5477226 1.1747340 0.7348469 0.7348469
#> 31 1.4035669 1.5968719 1.0630146 0.5477226 1.1489125 0.7745967 0.6782330
#> 32 0.8062258 1.0440307 0.5385165 0.3464102 0.5477226 0.5099020 0.2828427
#> 33 0.6855655 0.6557439 0.4582576 0.6480741 0.6480741 0.3741657 0.7615773
#> 34 0.4123106 0.3605551 0.3872983 0.8124038 0.5477226 0.5830952 0.8602325
#> 35 1.3076697 1.5394804 0.9848858 0.4690416 1.0862780 0.7348469 0.6164414
#> 36 1.1313708 1.4352700 0.8366600 0.3872983 1.0535654 0.6855655 0.6708204
#> 37 0.5916080 0.9643651 0.4582576 0.4242641 0.5477226 0.5477226 0.4242641
#> 38 1.0099505 1.1747340 0.6633250 0.3000000 0.9000000 0.3605551 0.6244998
#> 39 1.7233688 1.9313208 1.3601471 0.8717798 1.5811388 1.0862780 1.1489125
#> 40 0.9695360 1.1832160 0.6480741 0.1732051 0.7549834 0.4123106 0.3605551
#> 41 0.9539392 1.1618950 0.5744563 0.1414214 0.8602325 0.3741657 0.5830952
#> 42 2.1447611 2.4289916 1.8384776 1.3453624 1.9621417 1.6278821 1.4798649
#> 43 1.6155494 1.7916473 1.2369317 0.7745967 1.4899664 0.9486833 1.0954451
#> 44 1.1000000 1.1618950 0.6708204 0.3741657 0.8246211 0.4472136 0.5830952
#> 45 1.0295630 0.9380832 0.6782330 0.5916080 0.6403124 0.4123106 0.5744563
#> 46 1.4317821 1.6703293 1.0908712 0.5830952 1.2409674 0.8602325 0.7874008
#> 47 0.8306624 0.8774964 0.4795832 0.3741657 0.6164414 0.1414214 0.5099020
#> 48 1.4560220 1.6431677 1.0862780 0.5916080 1.2922848 0.7937254 0.8774964
#> 49 0.6557439 0.8306624 0.3605551 0.3162278 0.4690416 0.2449490 0.3741657
#> 50 1.0816654 1.3228757 0.7549834 0.2449490 0.9165151 0.5291503 0.5099020
#> 51 3.9711459 3.7907783 3.9509493 3.9749214 3.5014283 3.9268308 3.6110940
#> 52 3.6851052 3.4842503 3.5972211 3.5818989 3.1827661 3.5341194 3.2511536
#> 53 4.1713307 3.9874804 4.1303753 4.1340053 3.6891733 4.0902323 3.7775654
#> 54 3.4684290 3.3926391 3.2664966 3.0594117 2.9291637 3.1080541 2.7784888
#> 55 3.8961519 3.7443290 3.8105118 3.7589892 3.3896903 3.7429935 3.4161382
#> 56 3.6810325 3.5171011 3.5142567 3.3852622 3.1368774 3.3704599 3.0822070
#> 57 3.8665230 3.6400549 3.7643060 3.7496667 3.3615473 3.6905284 3.4322005
#> 58 2.9017236 2.8705400 2.6191602 2.3130067 2.3769729 2.3937418 2.1095023
#> 59 3.8236109 3.6715120 3.7603191 3.7215588 3.3211444 3.6972963 3.3630343
#> 60 3.2832910 3.1464265 3.0397368 2.8478062 2.7404379 2.8618176 2.6095977
#> 61 3.2511536 3.2572995 2.9949958 2.6758176 2.7313001 2.7820855 2.4494897
#> 62 3.4205263 3.2403703 3.2680269 3.1890437 2.8930952 3.1638584 2.8896367
#> 63 3.4292856 3.3970576 3.3015148 3.1224990 2.9034462 3.1796226 2.7802878
#> 64 3.8716921 3.6945906 3.7483330 3.6687873 3.3436507 3.6414283 3.3436507
#> 65 2.8670542 2.7349589 2.6720778 2.5396850 2.3302360 2.5436195 2.2605309
#> 66 3.6469165 3.4785054 3.5972211 3.5958309 3.1606961 3.5594943 3.2419130
#> 67 3.6905284 3.4899857 3.5071356 3.3985291 3.1511903 3.3660065 3.1192948
#> 68 3.2771939 3.1654384 3.1304952 2.9849623 2.7331301 2.9916551 2.6551836
#> 69 3.9974992 3.9115214 3.8704005 3.7349699 3.4770677 3.7696154 3.4073450
#> 70 3.2233523 3.1416556 3.0413813 2.8530685 2.6795522 2.8879058 2.5495098
#> 71 4.0211939 3.7854986 3.8665230 3.8131352 3.5014283 3.7603191 3.5298725
#> 72 3.2526912 3.1272992 3.1304952 3.0413813 2.7294688 3.0413813 2.7110883
#> 73 4.2284749 4.0914545 4.1158231 4.0162171 3.7054015 4.0162171 3.6810325
#> 74 3.8444766 3.6878178 3.7282704 3.6318040 3.3120990 3.6124784 3.2939338
#> 75 3.5199432 3.3749074 3.4365681 3.3852622 3.0099834 3.3674916 3.0364453
#> 76 3.6496575 3.4899857 3.5860842 3.5651087 3.1543621 3.5369478 3.2140317
#> 77 4.1036569 3.9572718 4.0521599 4.0187063 3.6097091 3.9987498 3.6565011
#> 78 4.3011626 4.1109610 4.2284749 4.2107007 3.8065733 4.1725292 3.8716921
#> 79 3.7188708 3.5425979 3.5791060 3.4957117 3.1906112 3.4727511 3.1843367
#> 80 2.8106939 2.7568098 2.6419690 2.4637370 2.2737634 2.5079872 2.1470911
#> 81 3.1968735 3.1336879 3.0000000 2.7874720 2.6551836 2.8372522 2.4959968
#> 82 3.0886890 3.0397368 2.8948230 2.6739484 2.5475478 2.7294688 2.3769729
#> 83 3.1591138 3.0495901 3.0000000 2.8618176 2.6210685 2.8757608 2.5475478
#> 84 4.3474130 4.1689327 4.2047592 4.1024383 3.8144462 4.0828911 3.7907783
#> 85 3.7067506 3.5014283 3.5014283 3.3749074 3.1638584 3.3421550 3.1128765
#> 86 3.6400549 3.3955854 3.5057096 3.4813790 3.1272992 3.4146742 3.1874755
#> 87 3.9446166 3.7603191 3.8858718 3.8794329 3.4539832 3.8379682 3.5312887
#> 88 3.8196859 3.7403208 3.7134889 3.5888717 3.3015148 3.6193922 3.2434549
#> 89 3.2649655 3.0886890 3.0822070 2.9647934 2.7221315 2.9410882 2.6776856
#> 90 3.3749074 3.2726136 3.1733263 2.9866369 2.8319605 3.0166206 2.7055499
#> 91 3.6455452 3.5114100 3.4568772 3.2832910 3.0951575 3.2893768 2.9899833
#> 92 3.7536649 3.5679126 3.6318040 3.5637059 3.2280025 3.5298725 3.2403703
#> 93 3.2863353 3.1843367 3.1272992 2.9782545 2.7477263 2.9983329 2.6627054
#> 94 2.9291637 2.9154759 2.6608269 2.3558438 2.4062419 2.4474477 2.1377558
#> 95 3.4554305 3.3166248 3.2710854 3.1192948 2.9103264 3.1224990 2.8266588
#> 96 3.3181320 3.1448370 3.1543621 3.0430248 2.7748874 3.0166206 2.7386128
#> 97 3.3808283 3.2171416 3.2109189 3.0919250 2.8390139 3.0757113 2.7928480
#> 98 3.4914181 3.3391616 3.3837849 3.3136083 2.9698485 3.2954514 2.9765752
#> 99 2.6057628 2.5903668 2.3302360 2.0493902 2.0928450 2.1400935 1.8439089
#> 100 3.3271610 3.1827661 3.1543621 3.0232433 2.7856777 3.0199338 2.7239677
#> 101 5.3916602 5.1215232 5.2602281 5.2421370 4.8928519 5.1749396 4.9598387
#> 102 4.4485953 4.2555846 4.2766810 4.1689327 3.9166312 4.1496988 3.8858718
#> 103 5.3282267 5.1156622 5.2678269 5.2668776 4.8456166 5.2191953 4.9295030
#> 104 4.8352870 4.6238512 4.7180504 4.6572524 4.3162484 4.6162756 4.3393548
#> 105 5.1623638 4.9325450 5.0507425 5.0179677 4.6583259 4.9699095 4.7095647
#> 106 6.0835845 5.8711157 6.0522723 6.0646517 5.6124861 6.0116553 5.7113921
#> 107 4.0249224 3.8652296 3.7603191 3.5510562 3.4828150 3.5623026 3.3391616
#> 108 5.6595053 5.4598535 5.6187187 5.6089215 5.1749396 5.5623736 5.2516664
#> 109 5.1749396 5.0059964 5.0852729 5.0169712 4.6636895 4.9989999 4.6765372
#> 110 5.6053546 5.3347915 5.5479726 5.5991071 5.1468437 5.5181519 5.2848841
#> 111 4.4249294 4.1952354 4.3243497 4.3162484 3.9306488 4.2626283 4.0062451
#> 112 4.6636895 4.4799554 4.5486262 4.4833024 4.1496988 4.4609416 4.1641326
#> 113 4.9091751 4.6968074 4.8270074 4.8155997 4.4192760 4.7717921 4.4911023
#> 114 4.4654227 4.2918527 4.2778499 4.1484937 3.9331921 4.1460825 3.8768544
#> 115 4.6357308 4.4192760 4.4508426 4.3680659 4.1206796 4.3428102 4.1133928
#> 116 4.7138095 4.4698993 4.5934736 4.5814845 4.2201896 4.5265881 4.2906876
#> 117 4.7476310 4.5343136 4.6497312 4.6119410 4.2391037 4.5661800 4.2860238
#> 118 6.1562976 5.8855756 6.1400326 6.2088646 5.7105166 6.1163715 5.8694122
#> 119 6.5169011 6.3253458 6.4768820 6.4668385 6.0398675 6.4311741 6.1139185
#> 120 4.4056782 4.2883563 4.2602817 4.1109610 3.8704005 4.1303753 3.7920970
#> 121 5.1487863 4.9122296 5.0705029 5.0813384 4.6690470 5.0239427 4.7644517
#> 122 4.2906876 4.0853396 4.0951190 3.9849718 3.7603191 3.9623226 3.7255872
#> 123 6.2080593 6.0133186 6.1822326 6.1830413 5.7349804 6.1392182 5.8215118
#> 124 4.2649736 4.0951190 4.1436699 4.0718546 3.7496667 4.0570926 3.7549967
#> 125 5.0159745 4.7686476 4.9295030 4.9325450 4.5265881 4.8672374 4.6162756
#> 126 5.3103672 5.0892043 5.2706736 5.2829916 4.8321838 5.2220686 4.9325450
#> 127 4.1376322 3.9572718 4.0074930 3.9382737 3.6207734 3.9179076 3.6290495
#> 128 4.1641326 3.9547440 4.0274061 3.9686270 3.6455452 3.9306488 3.6674242
#> 129 4.9769469 4.7696960 4.8569538 4.8020829 4.4654227 4.7686476 4.4922155
#> 130 5.1068581 4.9132474 5.0734604 5.0705029 4.6249324 5.0229473 4.7085029
#> 131 5.5587768 5.3721504 5.5226805 5.5163394 5.0803543 5.4781384 5.1584882
#> 132 5.8932164 5.6364883 5.9016947 5.9849812 5.4607692 5.8940648 5.6338264
#> 133 5.0159745 4.8062459 4.8928519 4.8404545 4.5066617 4.8072861 4.5354162
#> 134 4.3116122 4.1340053 4.2035699 4.1303753 3.7894591 4.1036569 3.7973675
#> 135 4.7801674 4.6054316 4.6551047 4.5453273 4.2449971 4.5232732 4.2166337
#> 136 5.7471732 5.5434646 5.7227616 5.7532599 5.2915026 5.7061370 5.4055527
#> 137 4.9809638 4.7085029 4.8528342 4.8476799 4.4877611 4.7770284 4.5672749
#> 138 4.7138095 4.4877611 4.6086874 4.5727453 4.2035699 4.5199558 4.2532341
#> 139 4.0693980 3.8600518 3.9217343 3.8561639 3.5482390 3.8196859 3.5623026
#> 140 4.8238988 4.6076024 4.7528939 4.7581509 4.3428102 4.7095647 4.4317040
#> 141 5.0813384 4.8476799 4.9819675 4.9769469 4.5945620 4.9264592 4.6722586
#> 142 4.6518813 4.4384682 4.5760245 4.5923850 4.1821047 4.5486262 4.2790186
#> 143 4.4485953 4.2555846 4.2766810 4.1689327 3.9166312 4.1496988 3.8858718
#> 144 5.3047149 5.0616203 5.2172790 5.2182373 4.8176758 5.1584882 4.9040799
#> 145 5.1807335 4.9254441 5.0813384 5.0921508 4.7000000 5.0289164 4.7947888
#> 146 4.7138095 4.5011110 4.6173586 4.6097722 4.2296572 4.5705580 4.3023250
#> 147 4.4530888 4.2976738 4.3255058 4.2379240 3.9370039 4.2355637 3.9242834
#> 148 4.5530210 4.3416587 4.4485953 4.4204072 4.0521599 4.3794977 4.1060930
#> 149 4.7507894 4.4799554 4.6162756 4.6065171 4.2544095 4.5365185 4.3289722
#> 150 4.3335897 4.1133928 4.1785165 4.1024383 3.8065733 4.0607881 3.8118237
#> 22 23 24 25 26 27 28
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
#> 11
#> 12
#> 13
#> 14
#> 15
#> 16
#> 17
#> 18
#> 19
#> 20
#> 21
#> 22
#> 23 0.7416198
#> 24 0.4582576 0.9591663
#> 25 0.6164414 0.9433981 0.4795832
#> 26 0.7416198 0.9380832 0.4472136 0.5385165
#> 27 0.3316625 0.7745967 0.2000000 0.4123106 0.4472136
#> 28 0.3000000 0.7874008 0.4242641 0.5744563 0.5477226 0.3162278
#> 29 0.3872983 0.7483315 0.4472136 0.6403124 0.4898979 0.3464102 0.1414214
#> 30 0.6782330 0.7280110 0.5196152 0.3741657 0.3605551 0.4123106 0.5916080
#> 31 0.7071068 0.8062258 0.4795832 0.4242641 0.2236068 0.4123106 0.5744563
#> 32 0.4242641 0.9848858 0.3872983 0.7483315 0.6082763 0.4123106 0.3000000
#> 33 0.5099020 0.9327379 0.9219544 0.9055385 1.1269428 0.7937254 0.6082763
#> 34 0.6782330 1.1532563 1.0723805 1.1747340 1.3152946 0.9848858 0.7681146
#> 35 0.6633250 0.7681146 0.4582576 0.5099020 0.1732051 0.3872983 0.5000000
#> 36 0.6244998 0.6000000 0.6000000 0.7549834 0.4472136 0.4898979 0.4690416
#> 37 0.5291503 0.9539392 0.6708204 0.9273618 0.7681146 0.6244998 0.3605551
#> 38 0.3872983 0.5099020 0.6164414 0.5567764 0.6480741 0.4242641 0.3464102
#> 39 1.0295630 0.7000000 0.9110434 0.8246211 0.6708204 0.8062258 0.9643651
#> 40 0.3605551 0.7348469 0.3741657 0.5000000 0.4242641 0.2449490 0.1414214
#> 41 0.3162278 0.5196152 0.5000000 0.6480741 0.5916080 0.3316625 0.3000000
#> 42 1.5394804 1.3416408 1.2489996 1.2922848 0.9165151 1.2489996 1.4071247
#> 43 0.9055385 0.5385165 0.8660254 0.7483315 0.7000000 0.7280110 0.8774964
#> 44 0.3162278 0.8306624 0.2645751 0.5477226 0.6403124 0.2236068 0.4582576
#> 45 0.4123106 1.0677078 0.5477226 0.5385165 0.8831761 0.5099020 0.5477226
#> 46 0.7745967 0.7549834 0.5567764 0.6480741 0.3000000 0.5000000 0.6557439
#> 47 0.2449490 0.8062258 0.5916080 0.5830952 0.8062258 0.4582576 0.3316625
#> 48 0.7416198 0.5656854 0.6633250 0.5744563 0.4898979 0.5291503 0.6782330
#> 49 0.2828427 0.8660254 0.5744563 0.7071068 0.7681146 0.4795832 0.2236068
#> 50 0.4690416 0.6403124 0.4358899 0.5477226 0.3605551 0.3000000 0.3000000
#> 51 3.8858718 4.5880279 3.6646964 3.7629775 3.8845849 3.8275318 3.8742741
#> 52 3.4856850 4.1641326 3.2465366 3.3241540 3.4785054 3.4088121 3.4957117
#> 53 4.0459857 4.7370877 3.8105118 3.8974351 4.0249224 3.9749214 4.0373258
#> 54 3.0298515 3.5651087 2.6627054 2.7055499 2.7766887 2.8337255 2.9983329
#> 55 3.6864617 4.3474130 3.4088121 3.4971417 3.6027767 3.5805028 3.6715120
#> 56 3.3136083 3.9127995 3.0149627 3.0232433 3.1859065 3.1733263 3.3090784
#> 57 3.6441734 4.3162484 3.4132096 3.4727511 3.6537652 3.5707142 3.6674242
#> 58 2.3086793 2.7313001 1.9131126 1.9000000 1.9748418 2.0639767 2.2759613
#> 59 3.6482873 4.3197222 3.3852622 3.4626579 3.5749126 3.5524639 3.6249138
#> 60 2.7874720 3.3196385 2.4535688 2.4677925 2.6191602 2.6115130 2.8000000
#> 61 2.6944387 3.1000000 2.2781571 2.2803509 2.2912878 2.4351591 2.6324893
#> 62 3.1032241 3.7389838 2.8248894 2.8896367 3.0430248 2.9899833 3.1176915
#> 63 3.1096624 3.6823905 2.7495454 2.8160256 2.8354894 2.9257478 3.0364453
#> 64 3.5888717 4.2272923 3.3120990 3.3496268 3.5028560 3.4741906 3.5846897
#> 65 2.4718414 3.0757113 2.1587033 2.2338308 2.3622024 2.3280893 2.4779023
#> 66 3.5114100 4.2023803 3.2710854 3.3749074 3.4899857 3.4380227 3.5014283
#> 67 3.3090784 3.9115214 3.0298515 3.0413813 3.2341923 3.1843367 3.3316662
#> 68 2.9342802 3.5355339 2.6191602 2.6400758 2.7604347 2.7820855 2.8982753
#> 69 3.6972963 4.2965102 3.3555923 3.4423829 3.4899857 3.5355339 3.6578682
#> 70 2.8178006 3.3808283 2.4677925 2.5019992 2.5903668 2.6362853 2.7802878
#> 71 3.7067506 4.3416587 3.4568772 3.4957117 3.6945906 3.6124784 3.7456642
#> 72 2.9782545 3.6193922 2.6795522 2.7694765 2.8670542 2.8530685 2.9597297
#> 73 3.9560081 4.5825757 3.6496575 3.7080992 3.8105118 3.8209946 3.9319207
#> 74 3.5623026 4.1928511 3.2771939 3.3000000 3.4438351 3.4380227 3.5411862
#> 75 3.3136083 3.9786933 3.0413813 3.1272992 3.2357379 3.2109189 3.2939338
#> 76 3.4856850 4.1665333 3.2310989 3.3301652 3.4409301 3.4000000 3.4727511
#> 77 3.9484174 4.6216880 3.6823905 3.7696154 3.8678159 3.8522721 3.9217343
#> 78 4.1218928 4.7979162 3.8704005 3.9534795 4.0865633 4.0373258 4.1231056
#> 79 3.4146742 4.0484565 3.1320920 3.1843367 3.3331667 3.2969683 3.4190642
#> 80 2.4351591 3.0166206 2.0832667 2.1563859 2.2135944 2.2583180 2.3874673
#> 81 2.7622455 3.3015148 2.3958297 2.4310492 2.5019992 2.5651511 2.7202941
#> 82 2.6551836 3.1906112 2.2847319 2.3173260 2.3790755 2.4535688 2.6038433
#> 83 2.8089144 3.4146742 2.4859606 2.5475478 2.6495283 2.6570661 2.7856777
#> 84 4.0261644 4.6411206 3.7336309 3.7589892 3.9115214 3.8961519 4.0249224
#> 85 3.2848135 3.8652296 3.0033315 2.9949958 3.2031235 3.1527766 3.3136083
#> 86 3.3674916 4.0261644 3.1416556 3.1874755 3.3955854 3.2939338 3.4073450
#> 87 3.7907783 4.4766059 3.5496479 3.6373067 3.7682887 3.7148351 3.7868192
#> 88 3.5524639 4.1653331 3.2202484 3.3045423 3.3511192 3.3985291 3.5028560
#> 89 2.8827071 3.4899857 2.5961510 2.6172505 2.7964263 2.7531800 2.8948230
#> 90 2.9427878 3.4971417 2.5942244 2.6305893 2.7331301 2.7622455 2.9240383
#> 91 3.2280025 3.7907783 2.9034462 2.8948230 3.0413813 3.0610456 3.2109189
#> 92 3.4785054 4.1243181 3.2109189 3.2526912 3.4132096 3.3719431 3.4799425
#> 93 2.9308702 3.5270384 2.6000000 2.6551836 2.7495454 2.7712813 2.9017236
#> 94 2.3600847 2.7892651 1.9544820 1.9621417 2.0049938 2.1118712 2.3151674
#> 95 3.0577770 3.6414283 2.7386128 2.7622455 2.9017236 2.9017236 3.0495901
#> 96 2.9631065 3.5791060 2.6814175 2.6944387 2.8722813 2.8372522 2.9647934
#> 97 3.0166206 3.6262929 2.7221315 2.7495454 2.9103264 2.8827071 3.0182777
#> 98 3.2403703 3.8923001 2.9614186 3.0298515 3.1543621 3.1288976 3.2264532
#> 99 2.0445048 2.5039968 1.6401219 1.7088007 1.7406895 1.8083141 2.0174241
#> 100 2.9563491 3.5594943 2.6476405 2.6870058 2.8266588 2.8124722 2.9512709
#> 101 5.1244512 5.7680153 4.8918299 4.9355851 5.1410116 5.0467812 5.1759057
#> 102 4.0865633 4.6850827 3.7907783 3.8236109 3.9837169 3.9534795 4.1048752
#> 103 5.1710734 5.8506410 4.9284886 5.0059964 5.1487863 5.0941143 5.1797683
#> 104 4.5661800 5.2057660 4.3011626 4.3301270 4.5011110 4.4609416 4.5760245
#> 105 4.9173163 5.5686623 4.6636895 4.7180504 4.8877398 4.8259714 4.9426713
#> 106 5.9699246 6.6580778 5.7367238 5.8051701 5.9472683 5.9000000 5.9690870
#> 107 3.4885527 3.9749214 3.1559468 3.1352831 3.3045423 3.3045423 3.5128336
#> 108 5.5208695 6.1991935 5.2773099 5.3310412 5.4726593 5.4396691 5.5108983
#> 109 4.9446941 5.5874860 4.6583259 4.7106263 4.8311489 4.8270074 4.9295030
#> 110 5.4763126 6.1692787 5.2782573 5.3600373 5.5443665 5.4350713 5.5190579
#> 111 4.2107007 4.8805737 3.9724048 4.0509258 4.2166337 4.1352146 4.2402830
#> 112 4.4022721 5.0428167 4.1194660 4.1833001 4.3162484 4.2883563 4.4056782
#> 113 4.7191101 5.3907328 4.4698993 4.5530210 4.6968074 4.6368092 4.7349762
#> 114 4.0755368 4.6540305 3.7603191 3.8039453 3.9420807 3.9268308 4.0914545
#> 115 4.2731721 4.8713448 3.9887341 4.0546270 4.2154478 4.1533119 4.3185646
#> 116 4.4710178 5.1283526 4.2308392 4.3092923 4.4833024 4.3931765 4.5144213
#> 117 4.5177428 5.1749396 4.2638011 4.3092923 4.4743715 4.4249294 4.5276926
#> 118 6.0868711 6.7926431 5.9076222 5.9674115 6.1595454 6.0580525 6.1139185
#> 119 6.3827894 7.0590368 6.1261734 6.2016127 6.3206012 6.2952363 6.3741666
#> 120 4.0644803 4.6486557 3.7296112 3.7656341 3.8587563 3.9000000 4.0336088
#> 121 4.9739320 5.6524331 4.7423623 4.8270074 4.9869831 4.9061186 5.0029991
#> 122 3.8961519 4.4821870 3.6041643 3.6386811 3.8118237 3.7643060 3.9306488
#> 123 6.0967204 6.7808554 5.8532043 5.9203040 6.0481402 6.0183054 6.0844063
#> 124 3.9949969 4.6335731 3.7054015 3.7815341 3.9025633 3.8768544 3.9962482
#> 125 4.8218254 5.4954527 4.5956501 4.6551047 4.8373546 4.7539457 4.8518038
#> 126 5.1836281 5.8719673 4.9598387 5.0169712 5.1768716 5.1185936 5.1865210
#> 127 3.8561639 4.4944410 3.5721142 3.6455452 3.7788887 3.7416574 3.8652296
#> 128 3.8742741 4.5144213 3.6083237 3.6619667 3.8288379 3.7709415 3.8961519
#> 129 4.7116876 5.3525695 4.4395946 4.4966654 4.6486557 4.6054316 4.7275787
#> 130 4.9829710 5.6674509 4.7455242 4.8052055 4.9436828 4.9071377 4.9699095
#> 131 5.4323107 6.1139185 5.1826634 5.2583267 5.3795911 5.3497664 5.4203321
#> 132 5.8668561 6.5825527 5.6947344 5.7671483 5.9439044 5.8455111 5.8847260
#> 133 4.7486840 5.3888774 4.4766059 4.5398238 4.6904158 4.6432747 4.7686476
#> 134 4.0521599 4.6936127 3.7749172 3.8131352 3.9585351 3.9382737 4.0435133
#> 135 4.4743715 5.0842895 4.1844952 4.1785165 4.3370497 4.3416587 4.4575778
#> 136 5.6586217 6.3553127 5.4267854 5.5335341 5.6524331 5.5955339 5.6630381
#> 137 4.7265209 5.3786615 4.5022217 4.5585085 4.7634021 4.6572524 4.7822589
#> 138 4.4732538 5.1283526 4.2261093 4.2626283 4.4429720 4.3840620 4.4899889
#> 139 3.7616486 4.3954522 3.4928498 3.5454196 3.7148351 3.6551334 3.7868192
#> 140 4.6583259 5.3394756 4.4192760 4.5122057 4.6551047 4.5858478 4.6765372
#> 141 4.8713448 5.5371473 4.6281746 4.7148701 4.8723711 4.7937459 4.9050994
#> 142 4.4911023 5.1730069 4.2520583 4.3760713 4.5033321 4.4226689 4.5188494
#> 143 4.0865633 4.6850827 3.7907783 3.8236109 3.9837169 3.9534795 4.1048752
#> 144 5.1097945 5.7810034 4.8764741 4.9446941 5.1166395 5.0378567 5.1400389
#> 145 4.9769469 5.6462377 4.7497368 4.8321838 5.0079936 4.9112117 5.0219518
#> 146 4.5110974 5.1788030 4.2591079 4.3669211 4.5011110 4.4294469 4.5387223
#> 147 4.1689327 4.7947888 3.8639358 3.9446166 4.0484565 4.0385641 4.1653331
#> 148 4.3243497 4.9849774 4.0681691 4.1448764 4.2953463 4.2343831 4.3439613
#> 149 4.4855323 5.1351728 4.2602817 4.3150898 4.5221676 4.4147480 4.5420260
#> 150 4.0062451 4.6281746 3.7389838 3.7643060 3.9522146 3.8961519 4.0323690
#> 29 30 31 32 33 34 35
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
#> 11
#> 12
#> 13
#> 14
#> 15
#> 16
#> 17
#> 18
#> 19
#> 20
#> 21
#> 22
#> 23
#> 24
#> 25
#> 26
#> 27
#> 28
#> 29
#> 30 0.5744563
#> 31 0.5385165 0.1414214
#> 32 0.3000000 0.7615773 0.7071068
#> 33 0.7141428 1.0392305 1.0862780 0.7874008
#> 34 0.8544004 1.2961481 1.3190906 0.8366600 0.3464102
#> 35 0.4358899 0.2449490 0.1414214 0.6164414 1.0488088 1.2569805
#> 36 0.3464102 0.5000000 0.4582576 0.5744563 0.9746794 1.1357817 0.3316625
#> 37 0.3316625 0.9055385 0.8602325 0.3162278 0.7071068 0.7071068 0.7483315
#> 38 0.3741657 0.5000000 0.5567764 0.6244998 0.5916080 0.8544004 0.5196152
#> 39 0.9000000 0.4690416 0.5099020 1.1135529 1.3784049 1.6309506 0.5477226
#> 40 0.1414214 0.4582576 0.4358899 0.3605551 0.7141428 0.9000000 0.3605551
#> 41 0.2645751 0.5291503 0.5477226 0.4690416 0.6928203 0.8717798 0.4690416
#> 42 1.3114877 0.9746794 0.9110434 1.4387495 1.9519221 2.1517435 0.9219544
#> 43 0.8306624 0.4242641 0.5099020 1.0583005 1.2247449 1.4899664 0.5477226
#> 44 0.5000000 0.5830952 0.6000000 0.4690416 0.8124038 0.9695360 0.5830952
#> 45 0.6782330 0.8062258 0.8426150 0.6403124 0.5916080 0.7810250 0.8544004
#> 46 0.5744563 0.3162278 0.2449490 0.7348469 1.1916375 1.3928388 0.2000000
#> 47 0.4582576 0.7211103 0.7615773 0.5477226 0.3464102 0.6000000 0.7348469
#> 48 0.6324555 0.2236068 0.3000000 0.8544004 1.0908712 1.3453624 0.3316625
#> 49 0.3316625 0.7874008 0.7874008 0.3741657 0.4242641 0.5477226 0.7211103
#> 50 0.2236068 0.3741657 0.3464102 0.4690416 0.8366600 1.0295630 0.2449490
#> 51 3.9509493 4.0422766 3.9874804 3.7202150 3.9974992 3.9471509 4.0124805
#> 52 3.5749126 3.6041643 3.5594943 3.3541020 3.6345564 3.6207734 3.5986108
#> 53 4.1133928 4.1749251 4.1218928 3.8871583 4.1725292 4.1364236 4.1533119
#> 54 3.0446675 2.9017236 2.8460499 2.8774989 3.3196385 3.4029399 2.9086079
#> 55 3.7389838 3.7536649 3.6972963 3.5199432 3.8665230 3.8587563 3.7349699
#> 56 3.3808283 3.2832910 3.2434549 3.2031235 3.5185224 3.5805028 3.3075671
#> 57 3.7509999 3.7603191 3.7229021 3.5355339 3.7868192 3.7815341 3.7682887
#> 58 2.3108440 2.0518285 2.0074860 2.2022716 2.6514147 2.8017851 2.0904545
#> 59 3.6959437 3.7296112 3.6728735 3.4799425 3.8013156 3.7881394 3.7080992
#> 60 2.8600699 2.6888659 2.6551836 2.7000000 3.0675723 3.1670175 2.7294688
#> 61 2.6551836 2.4041631 2.3452079 2.5455844 3.0430248 3.1843367 2.4207437
#> 62 3.1906112 3.1511903 3.1096624 2.9849623 3.3090784 3.3361655 3.1606961
#> 63 3.0789609 3.0149627 2.9410882 2.9000000 3.3630343 3.4132096 2.9849623
#> 64 3.6592349 3.6193922 3.5749126 3.4612137 3.7656341 3.7920970 3.6276714
#> 65 2.5416530 2.4718414 2.4269322 2.3473389 2.7294688 2.7838822 2.4799194
#> 66 3.5749126 3.6455452 3.5902646 3.3451457 3.6537652 3.6180105 3.6180105
#> 67 3.4088121 3.3090784 3.2787193 3.2264532 3.5114100 3.5707142 3.3451457
#> 68 2.9631065 2.8896367 2.8372522 2.7874720 3.1448370 3.2046841 2.8930952
#> 69 3.7067506 3.6537652 3.5874782 3.5057096 3.9458839 3.9736633 3.6318040
#> 70 2.8337255 2.7202941 2.6645825 2.6645825 3.0789609 3.1559468 2.7239677
#> 71 3.8275318 3.7735925 3.7443290 3.6249138 3.8832976 3.9089641 3.8026307
#> 72 3.0232433 3.0149627 2.9580399 2.8124722 3.1921779 3.2078030 2.9983329
#> 73 3.9949969 3.9534795 3.8974351 3.7934153 4.1581246 4.1797129 3.9458839
#> 74 3.6138622 3.5679126 3.5199432 3.4249088 3.7349699 3.7696154 3.5735137
#> 75 3.3630343 3.3882149 3.3316662 3.1464265 3.4871192 3.4813790 3.3674916
#> 76 3.5440090 3.5958309 3.5397740 3.3181320 3.6428011 3.6180105 3.5707142
#> 77 3.9899875 4.0311289 3.9711459 3.7696154 4.1024383 4.0804412 4.0037482
#> 78 4.1976184 4.2249260 4.1749251 3.9736633 4.2743421 4.2532341 4.2130749
#> 79 3.4914181 3.4467376 3.4029399 3.2893768 3.6110940 3.6386811 3.4554305
#> 80 2.4372115 2.3685439 2.3043437 2.2561028 2.7037012 2.7658633 2.3515952
#> 81 2.7676705 2.6324893 2.5748786 2.6057628 3.0446675 3.1320920 2.6362853
#> 82 2.6495283 2.5159491 2.4556058 2.4919872 2.9376862 3.0282008 2.5159491
#> 83 2.8460499 2.7838822 2.7294688 2.6551836 3.0479501 3.0967725 2.7802878
#> 84 4.0963398 4.0187063 3.9761791 3.9051248 4.2201896 4.2602817 4.0360872
#> 85 3.3911650 3.2603681 3.2357379 3.2202484 3.4942810 3.5707142 3.3090784
#> 86 3.4942810 3.4785054 3.4496377 3.2863353 3.5185224 3.5298725 3.5014283
#> 87 3.8626416 3.9127995 3.8613469 3.6373067 3.9306488 3.9025633 3.8948684
#> 88 3.5538711 3.5242020 3.4554305 3.3526109 3.7815341 3.8026307 3.4957117
#> 89 2.9698485 2.8827071 2.8478062 2.7874720 3.0935417 3.1543621 2.9103264
#> 90 2.9782545 2.8460499 2.7964263 2.8071338 3.2155870 3.2954514 2.8600699
#> 91 3.2756679 3.1368774 3.0951575 3.1144823 3.4583233 3.5440090 3.1654384
#> 92 3.5566838 3.5270384 3.4842503 3.3555923 3.6496575 3.6715120 3.5355339
#> 93 2.9597297 2.8861739 2.8301943 2.7730849 3.1733263 3.2264532 2.8827071
#> 94 2.3452079 2.1047565 2.0518285 2.2293497 2.7073973 2.8478062 2.1283797
#> 95 3.1144823 3.0049958 2.9614186 2.9376862 3.2939338 3.3630343 3.0248967
#> 96 3.0413813 2.9664794 2.9291637 2.8600699 3.1559468 3.2124757 2.9899833
#> 97 3.0903074 3.0099834 2.9698485 2.9051678 3.2280025 3.2832910 3.0298515
#> 98 3.2969683 3.2924155 3.2403703 3.0886890 3.4234486 3.4351128 3.2832910
#> 99 2.0469489 1.8493242 1.7944358 1.9078784 2.4124676 2.5337719 1.8601075
#> 100 3.0182777 2.9359837 2.8913665 2.8319605 3.1843367 3.2403703 2.9495762
#> 101 5.2602281 5.2172790 5.1903757 5.0477718 5.2782573 5.2820451 5.2478567
#> 102 4.1749251 4.0743098 4.0373258 3.9824616 4.3034870 4.3497126 4.1012193
#> 103 5.2564246 5.2820451 5.2345009 5.0299105 5.3084838 5.2782573 5.2744668
#> 104 4.6540305 4.6054316 4.5661800 4.4530888 4.7275787 4.7465777 4.6227697
#> 105 5.0209561 4.9919936 4.9537864 4.8062459 5.0793700 5.0793700 5.0059964
#> 106 6.0473135 6.0876925 6.0382117 5.8223707 6.0811183 6.0415230 6.0761830
#> 107 3.5721142 3.3451457 3.3211444 3.4278273 3.7696154 3.8871583 3.4073450
#> 108 5.5883808 5.6124861 5.5623736 5.3721504 5.6373753 5.6124861 5.6035703
#> 109 4.9979996 4.9689033 4.9162994 4.7906158 5.1176166 5.1234754 4.9648766
#> 110 5.6053546 5.6524331 5.6169387 5.3712196 5.5830099 5.5344376 5.6559703
#> 111 4.3197222 4.3278170 4.2883563 4.0951190 4.3669211 4.3508620 4.3324358
#> 112 4.4754888 4.4407207 4.3931765 4.2638011 4.5912961 4.6000000 4.4429720
#> 113 4.8104054 4.8238988 4.7780749 4.5836667 4.8754487 4.8528342 4.8197510
#> 114 4.1545156 4.0360872 3.9962482 3.9635842 4.3208795 4.3737855 4.0607881
#> 115 4.3874822 4.2965102 4.2638011 4.1809090 4.5055521 4.5365185 4.3243497
#> 116 4.5934736 4.5814845 4.5464272 4.3692105 4.6400431 4.6292548 4.5945620
#> 117 4.6065171 4.5880279 4.5464272 4.3965896 4.6679760 4.6701178 4.5967380
#> 118 6.2048368 6.2745518 6.2377881 5.9774577 6.1473572 6.0901560 6.2745518
#> 119 6.4459289 6.4699304 6.4156060 6.2209324 6.5192024 6.4853681 6.4544558
#> 120 4.0902323 3.9924930 3.9370039 3.9064050 4.2965102 4.3474130 3.9949969
#> 121 5.0823223 5.1048996 5.0635956 4.8518038 5.1166395 5.0852729 5.1048996
#> 122 4.0012498 3.8858718 3.8548671 3.8105118 4.1255303 4.1785165 3.9217343
#> 123 6.1595454 6.1975802 6.1441029 5.9371710 6.2120850 6.1749494 6.1814238
#> 124 4.0632499 4.0323690 3.9824616 3.8496753 4.1976184 4.2071368 4.0298883
#> 125 4.9355851 4.9426713 4.9061186 4.7148701 4.9527770 4.9345719 4.9527770
#> 126 5.2687759 5.3075418 5.2621288 5.0487622 5.2867760 5.2545219 5.3018865
#> 127 3.9344631 3.9000000 3.8535698 3.7215588 4.0583248 4.0706265 3.9025633
#> 128 3.9724048 3.9306488 3.8923001 3.7643060 4.0583248 4.0755368 3.9458839
#> 129 4.8010416 4.7602521 4.7180504 4.5891176 4.8928519 4.9010203 4.7707442
#> 130 5.0477718 5.0882217 5.0368641 4.8301139 5.0941143 5.0645829 5.0744458
#> 131 5.4936327 5.5308227 5.4763126 5.2697249 5.5614746 5.5272054 5.5127126
#> 132 5.9741108 6.0728906 6.0315835 5.7428216 5.9160798 5.8446557 6.0613530
#> 133 4.8414874 4.8010416 4.7592016 4.6270941 4.9345719 4.9406477 4.8114447
#> 134 4.1170378 4.0816663 4.0348482 3.9166312 4.2213742 4.2402830 4.0865633
#> 135 4.5310043 4.4452222 4.4022721 4.3520110 4.6432747 4.6904158 4.4654227
#> 136 5.7367238 5.8051701 5.7515215 5.4972721 5.7844619 5.7253821 5.7810034
#> 137 4.8672374 4.8414874 4.8145612 4.6497312 4.8785244 4.8744230 4.8682646
#> 138 4.5716518 4.5464272 4.5088801 4.3646306 4.6184413 4.6249324 4.5617979
#> 139 3.8626416 3.8118237 3.7749172 3.6565011 3.9534795 3.9761791 3.8301436
#> 140 4.7528939 4.7853944 4.7391982 4.5210618 4.8062459 4.7728398 4.7770284
#> 141 4.9819675 4.9849774 4.9446941 4.7528939 5.0348784 5.0129831 4.9889879
#> 142 4.5912961 4.6378875 4.5902070 4.3485630 4.6572524 4.6119410 4.6227697
#> 143 4.1749251 4.0743098 4.0373258 3.9824616 4.3034870 4.3497126 4.1012193
#> 144 5.2211110 5.2258971 5.1874849 4.9969991 5.2507142 5.2297227 5.2335456
#> 145 5.1029403 5.1097945 5.0744458 4.8733972 5.1273775 5.1019604 5.1195703
#> 146 4.6108568 4.6270941 4.5814845 4.3760713 4.6893496 4.6615448 4.6206060
#> 147 4.2272923 4.1833001 4.1303753 4.0149720 4.3886217 4.4022721 4.1785165
#> 148 4.4192760 4.4136153 4.3703547 4.1976184 4.4944410 4.4855323 4.4158804
#> 149 4.6270941 4.5978256 4.5716518 4.4113490 4.6411206 4.6411206 4.6260134
#> 150 4.1109610 4.0360872 4.0037482 3.9153544 4.1892720 4.2249260 4.0657103
#> 36 37 38 39 40 41 42
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
#> 11
#> 12
#> 13
#> 14
#> 15
#> 16
#> 17
#> 18
#> 19
#> 20
#> 21
#> 22
#> 23
#> 24
#> 25
#> 26
#> 27
#> 28
#> 29
#> 30
#> 31
#> 32
#> 33
#> 34
#> 35
#> 36
#> 37 0.5916080
#> 38 0.4690416 0.6244998
#> 39 0.6403124 1.2083046 0.7937254
#> 40 0.3741657 0.4582576 0.3162278 0.8306624
#> 41 0.3316625 0.5099020 0.2645751 0.7874008 0.2645751
#> 42 1.0392305 1.5652476 1.3784049 0.7141428 1.2727922 1.3000000
#> 43 0.6082763 1.1401754 0.6557439 0.2000000 0.7549834 0.6782330 0.9110434
#> 44 0.6403124 0.7071068 0.5567764 0.9273618 0.4358899 0.4242641 1.3674794
#> 45 0.9486833 0.8062258 0.6480741 1.2369317 0.6000000 0.6855655 1.7262677
#> 46 0.3605551 0.8717798 0.6403124 0.4242641 0.5196152 0.5477226 0.7681146
#> 47 0.7280110 0.5830952 0.3605551 1.1045361 0.4123106 0.4472136 1.6462078
#> 48 0.4472136 0.9539392 0.5099020 0.3000000 0.5477226 0.5196152 0.9165151
#> 49 0.6557439 0.3464102 0.4358899 1.1575837 0.3605551 0.4242641 1.6278821
#> 50 0.2236068 0.5477226 0.3316625 0.6782330 0.1732051 0.2449490 1.1269428
#> 51 4.2059482 3.9166312 4.1412558 4.4497191 3.9153544 4.1060930 4.4530888
#> 52 3.8131352 3.5818989 3.7389838 3.9962482 3.5242020 3.7054015 4.0124805
#> 53 4.3588989 4.0951190 4.2965102 4.5727453 4.0718546 4.2626283 4.5607017
#> 54 3.1796226 3.1527766 3.2015621 3.1937439 2.9715316 3.1591138 3.0479501
#> 55 3.9572718 3.7509999 3.9242834 4.1267421 3.6905284 3.8820098 4.0718546
#> 56 3.5707142 3.4612137 3.5114100 3.6304270 3.3060551 3.4957117 3.5958309
#> 57 3.9887341 3.7682887 3.8974351 4.1496988 3.6945906 3.8704005 4.1821047
#> 58 2.3874673 2.4919872 2.4207437 2.2912878 2.2181073 2.3895606 2.1587033
#> 59 3.9268308 3.6972963 3.8807216 4.1170378 3.6496575 3.8483763 4.0816663
#> 60 3.0033315 2.9883106 2.9732137 2.9883106 2.7748874 2.9410882 2.9359837
#> 61 2.7147744 2.8248894 2.7910571 2.6153394 2.5709920 2.7531800 2.3811762
#> 62 3.3970576 3.2419130 3.3406586 3.5142567 3.1272992 3.3030289 3.5071356
#> 63 3.2372828 3.1416556 3.2771939 3.3361655 3.0232433 3.2357379 3.1685959
#> 64 3.8716921 3.7040518 3.8091994 3.9874804 3.5958309 3.7868192 3.9610605
#> 65 2.7239677 2.6210685 2.6944387 2.8195744 2.4738634 2.6476405 2.8035692
#> 66 3.8183766 3.5566838 3.7656341 4.0435133 3.5355339 3.7242449 4.0373258
#> 67 3.6027767 3.4914181 3.5242020 3.6565011 3.3316662 3.5057096 3.6578682
#> 68 3.1527766 3.0347982 3.1176915 3.2449961 2.8948230 3.1000000 3.1906112
#> 69 3.8755645 3.7563280 3.9012818 3.9761791 3.6523965 3.8483763 3.8183766
#> 70 2.9916551 2.9291637 2.9916551 3.0430248 2.7622455 2.9597297 2.9410882
#> 71 4.0410395 3.8807216 3.9509493 4.1352146 3.7589892 3.9242834 4.1557190
#> 72 3.2280025 3.0577770 3.2062439 3.3808283 2.9698485 3.1606961 3.3316662
#> 73 4.1904654 4.0360872 4.1689327 4.3023250 3.9370039 4.1340053 4.2047592
#> 74 3.8236109 3.6619667 3.7656341 3.9357337 3.5496479 3.7509999 3.8961519
#> 75 3.5874782 3.3734256 3.5482390 3.7709415 3.3151169 3.5099858 3.7376463
#> 76 3.7788887 3.5369478 3.7336309 3.9862263 3.5014283 3.6918830 3.9648455
#> 77 4.2190046 3.9837169 4.1833001 4.4147480 3.9471509 4.1460825 4.3588989
#> 78 4.4294469 4.1988094 4.3726422 4.6076024 4.1496988 4.3347434 4.5803930
#> 79 3.6972963 3.5411862 3.6428011 3.8078866 3.4278273 3.6110940 3.7802116
#> 80 2.6038433 2.5159491 2.6191602 2.7073973 2.3748684 2.5748786 2.6191602
#> 81 2.9086079 2.8757608 2.9257478 2.9376862 2.6944387 2.8896367 2.8106939
#> 82 2.7892651 2.7586228 2.8106939 2.8231188 2.5768197 2.7766887 2.6944387
#> 83 3.0298515 2.9137605 3.0133038 3.1320920 2.7820855 2.9748950 3.0692019
#> 84 4.2918527 4.1581246 4.2379240 4.3646306 4.0274061 4.2154478 4.3058100
#> 85 3.5749126 3.4914181 3.4899857 3.5958309 3.3075671 3.4770677 3.6027767
#> 86 3.7269290 3.5298725 3.6207734 3.8626416 3.4307434 3.5972211 3.9230090
#> 87 4.1036569 3.8535698 4.0422766 4.3069711 3.8183766 4.0062451 4.2988371
#> 88 3.7349699 3.5916570 3.7536649 3.8626416 3.5028560 3.7067506 3.7215588
#> 89 3.1654384 3.0512293 3.0951575 3.2388269 2.8948230 3.0740852 3.2465366
#> 90 3.1288976 3.0822070 3.1256999 3.1559468 2.9034462 3.0886890 3.0545049
#> 91 3.4423829 3.3793490 3.4014703 3.4612137 3.1953091 3.3882149 3.3926391
#> 92 3.7749172 3.5972211 3.7054015 3.9012818 3.4942810 3.6823905 3.8923001
#> 93 3.1368774 3.0315013 3.1272992 3.2264532 2.8948230 3.0903074 3.1432467
#> 94 2.4207437 2.5159491 2.4738634 2.3430749 2.2583180 2.4351591 2.1771541
#> 95 3.2893768 3.2046841 3.2526912 3.3391616 3.0397368 3.2264532 3.2832910
#> 96 3.2449961 3.1144823 3.1701735 3.3316662 2.9681644 3.1559468 3.3391616
#> 97 3.2848135 3.1654384 3.2264532 3.3645208 3.0182777 3.2031235 3.3481338
#> 98 3.5142567 3.3256578 3.4684290 3.6687873 3.2419130 3.4351128 3.6400549
#> 99 2.1330729 2.2045408 2.1931712 2.1071308 1.9672316 2.1307276 1.9824228
#> 100 3.2046841 3.0951575 3.1638584 3.2832910 2.9478806 3.1336879 3.2449961
#> 101 5.4799635 5.2971691 5.3823787 5.5749439 5.1951901 5.3535035 5.5830099
#> 102 4.3577517 4.2497059 4.3069711 4.4022721 4.1024383 4.2755117 4.3416587
#> 103 5.4909016 5.2516664 5.4267854 5.6621551 5.2086467 5.3907328 5.6258333
#> 104 4.8682646 4.6957428 4.7937459 4.9668904 4.5891176 4.7738873 4.9335586
#> 105 5.2392748 5.0497525 5.1662365 5.3535035 4.9608467 5.1341991 5.3244718
#> 106 6.2904690 6.0299254 6.2201286 6.4761099 6.0024995 6.1919302 6.4366140
#> 107 3.6932371 3.7215588 3.6578682 3.6041643 3.4785054 3.6345564 3.5213634
#> 108 5.8266629 5.5821143 5.7576037 5.9983331 5.5398556 5.7358522 5.9539903
#> 109 5.2057660 5.0249378 5.1672043 5.3244718 4.9416596 5.1371198 5.2325902
#> 110 5.8566202 5.5883808 5.7567352 6.0440053 5.5587768 5.7210139 6.0712437
#> 111 4.5497253 4.3324358 4.4743715 4.7042534 4.2661458 4.4350874 4.7053161
#> 112 4.6808119 4.5099889 4.6378875 4.7937459 4.4170126 4.6000000 4.7254629
#> 113 5.0378567 4.8155997 4.9779514 5.1971146 4.7602521 4.9365980 5.1633323
#> 114 4.3197222 4.2391037 4.2918527 4.3439613 4.0816663 4.2508823 4.2497059
#> 115 4.5661800 4.4564560 4.5199558 4.6130250 4.3185646 4.4698993 4.5596052
#> 116 4.8145612 4.6162756 4.7391982 4.9446941 4.5365185 4.6957428 4.9416596
#> 117 4.8311489 4.6314145 4.7560488 4.9608467 4.5475268 4.7318073 4.9376108
#> 118 6.4730209 6.1717096 6.3545259 6.6850580 6.1611687 6.3364028 6.7275553
#> 119 6.6745786 6.4358372 6.6279710 6.8425142 6.4007812 6.5924199 6.7594378
#> 120 4.2579338 4.1617304 4.2532341 4.3104524 4.0236799 4.2213742 4.1701319
#> 121 5.3169540 5.0813384 5.2430907 5.4827001 5.0328918 5.2019227 5.4708317
#> 122 4.1773197 4.0865633 4.1218928 4.2047592 3.9255573 4.0865633 4.1605288
#> 123 6.3984373 6.1424751 6.3387696 6.5825527 6.1155539 6.3111013 6.5222695
#> 124 4.2649736 4.0987803 4.2320208 4.3840620 4.0062451 4.1880783 4.3139309
#> 125 5.1730069 4.9446941 5.0813384 5.3244718 4.8805737 5.0527220 5.3329167
#> 126 5.5172457 5.2564246 5.4313902 5.7035077 5.2211110 5.4101756 5.6956123
#> 127 4.1376322 3.9736633 4.0963398 4.2532341 3.8755645 4.0533936 4.2000000
#> 128 4.1833001 4.0162171 4.1158231 4.2906876 3.9089641 4.0828911 4.2731721
#> 129 5.0089919 4.8373546 4.9527770 5.1127292 4.7402532 4.9173163 5.0586559
#> 130 5.2915026 5.0348784 5.2211110 5.4817880 5.0019996 5.1990384 5.4516053
#> 131 5.7288742 5.4799635 5.6762664 5.9135438 5.4497706 5.6435804 5.8532043
#> 132 6.2489999 5.9245253 6.1359596 6.4915329 5.9371710 6.1155539 6.5352888
#> 133 5.0477718 4.8774994 4.9939964 5.1507281 4.7812132 4.9547957 5.0950957
#> 134 4.3301270 4.1545156 4.2720019 4.4474712 4.0558600 4.2497059 4.4011362
#> 135 4.7296934 4.5934736 4.6658333 4.7937459 4.4598206 4.6604721 4.7275787
#> 136 5.9791304 5.7043843 5.9270566 6.1919302 5.7000000 5.8804762 6.1457302
#> 137 5.0921508 4.8969378 4.9929951 5.2057660 4.8052055 4.9598387 5.2297227
#> 138 4.7979162 4.6010868 4.7116876 4.9203658 4.5099889 4.6914816 4.9132474
#> 139 4.0693980 3.9127995 4.0024992 4.1677332 3.7973675 3.9686270 4.1521079
#> 140 4.9869831 4.7476310 4.9244289 5.1652686 4.7063787 4.8805737 5.1429563
#> 141 5.2057660 4.9929951 5.1400389 5.3507009 4.9295030 5.0941143 5.3272882
#> 142 4.8207883 4.5793013 4.7728398 5.0109879 4.5497253 4.7127487 4.9839743
#> 143 4.3577517 4.2497059 4.3069711 4.4022721 4.1024383 4.2755117 4.3416587
#> 144 5.4534393 5.2297227 5.3721504 5.6008928 5.1672043 5.3376025 5.5910643
#> 145 5.3329167 5.1117512 5.2516664 5.4799635 5.0497525 5.2086467 5.4808758
#> 146 4.8311489 4.6162756 4.7833043 4.9909919 4.5628938 4.7275787 4.9537864
#> 147 4.4170126 4.2684892 4.4011362 4.5210618 4.1701319 4.3520110 4.4192760
#> 148 4.6400431 4.4384682 4.5793013 4.7812132 4.3646306 4.5387223 4.7528939
#> 149 4.8507731 4.6604721 4.7507894 4.9618545 4.5639895 4.7180504 4.9909919
#> 150 4.3150898 4.1725292 4.2355637 4.3874822 4.0398020 4.2130749 4.3749286
#> 43 44 45 46 47 48 49
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
#> 11
#> 12
#> 13
#> 14
#> 15
#> 16
#> 17
#> 18
#> 19
#> 20
#> 21
#> 22
#> 23
#> 24
#> 25
#> 26
#> 27
#> 28
#> 29
#> 30
#> 31
#> 32
#> 33
#> 34
#> 35
#> 36
#> 37
#> 38
#> 39
#> 40
#> 41
#> 42
#> 43
#> 44 0.8366600
#> 45 1.1180340 0.4795832
#> 46 0.4690416 0.6480741 0.9949874
#> 47 0.9695360 0.5099020 0.3605551 0.8831761
#> 48 0.2236068 0.6708204 0.9486833 0.3000000 0.8062258
#> 49 1.0488088 0.5477226 0.5000000 0.8717798 0.2449490 0.8660254
#> 50 0.6164414 0.4898979 0.7416198 0.3741657 0.5477226 0.4123106 0.5099020
#> 51 4.4452222 3.7868192 3.5791060 4.1206796 3.8755645 4.2532341 3.8496753
#> 52 3.9912404 3.3570821 3.1654384 3.6945906 3.4856850 3.8131352 3.4856850
#> 53 4.5727453 3.9331921 3.7336309 4.2555846 4.0385641 4.3863424 4.0211939
#> 54 3.2434549 2.8178006 2.7622455 2.9563491 3.0626786 3.0967725 3.0757113
#> 55 4.1412558 3.5425979 3.3852622 3.8223030 3.6945906 3.9623226 3.6810325
#> 56 3.6469165 3.1432467 2.9883106 3.3852622 3.3136083 3.4914181 3.3436507
#> 57 4.1400483 3.5128336 3.3120990 3.8626416 3.6414283 3.9686270 3.6551334
#> 58 2.3515952 2.0663978 2.0784610 2.1142375 2.3515952 2.2315914 2.3937418
#> 59 4.1267421 3.5227830 3.3406586 3.8065733 3.6428011 3.9420807 3.6262929
#> 60 3.0149627 2.5709920 2.4939928 2.7766887 2.8195744 2.8809721 2.8653098
#> 61 2.6981475 2.4535688 2.4839485 2.4372115 2.7386128 2.5787594 2.7604347
#> 62 3.5199432 2.9376862 2.7892651 3.2388269 3.1192948 3.3555923 3.1352831
#> 63 3.3896903 2.9342802 2.8530685 3.0545049 3.1256999 3.2186954 3.1032241
#> 64 3.9974992 3.4380227 3.2634338 3.7148351 3.5860842 3.8301436 3.6000000
#> 65 2.8337255 2.2825424 2.1817424 2.5475478 2.5039968 2.6720778 2.5199206
#> 66 4.0435133 3.3955854 3.2093613 3.7188708 3.5114100 3.8548671 3.4885527
#> 67 3.6619667 3.1352831 2.9765752 3.4190642 3.3151169 3.5128336 3.3570821
#> 68 3.2695565 2.7730849 2.6267851 2.9782545 2.9308702 3.1016125 2.9410882
#> 69 4.0211939 3.5142567 3.4263683 3.6945906 3.7242449 3.8548671 3.7080992
#> 70 3.0822070 2.6267851 2.5357445 2.7892651 2.8354894 2.9240383 2.8460499
#> 71 4.1303753 3.5468296 3.3719431 3.8807216 3.7148351 3.9761791 3.7496667
#> 72 3.3985291 2.8195744 2.6870058 3.0805844 2.9949958 3.2218007 2.9849623
#> 73 4.3301270 3.7934153 3.6523965 4.0236799 3.9635842 4.1617304 3.9610605
#> 74 3.9509493 3.4161382 3.2372828 3.6646964 3.5510562 3.7815341 3.5623026
#> 75 3.7815341 3.1780497 3.0116441 3.4612137 3.3166248 3.5986108 3.3015148
#> 76 3.9912404 3.3600595 3.1843367 3.6674242 3.4885527 3.8052595 3.4684290
#> 77 4.4283180 3.8223030 3.6469165 4.1000000 3.9458839 4.2426407 3.9230090
#> 78 4.6119410 3.9887341 3.8078866 4.3046487 4.1243181 4.4339599 4.1170378
#> 79 3.8183766 3.2526912 3.0967725 3.5355339 3.4234486 3.6537652 3.4380227
#> 80 2.7440845 2.2516660 2.1725561 2.4228083 2.4596748 2.5729361 2.4515301
#> 81 2.9849623 2.5592968 2.4939928 2.6925824 2.7874720 2.8319605 2.7982137
#> 82 2.8722813 2.4556058 2.3916521 2.5748786 2.6776856 2.7166155 2.6851443
#> 83 3.1575307 2.6324893 2.5179357 2.8548205 2.8266588 2.9899833 2.8301943
#> 84 4.3829214 3.8587563 3.7013511 4.1121770 4.0286474 4.2261093 4.0509258
#> 85 3.6013886 3.1032241 2.9495762 3.3778692 3.2908965 3.4612137 3.3451457
#> 86 3.8470768 3.2280025 3.0282008 3.5916570 3.3674916 3.6837481 3.3970576
#> 87 4.3069711 3.6701499 3.4785054 3.9937451 3.7881394 4.1231056 3.7749172
#> 88 3.9038443 3.3852622 3.2787193 3.5693137 3.5693137 3.7296112 3.5468296
#> 89 3.2449961 2.7110883 2.5573424 2.9883106 2.8896367 3.0886890 2.9240383
#> 90 3.1937439 2.7386128 2.6589472 2.9154759 2.9698485 3.0446675 2.9899833
#> 91 3.4899857 3.0430248 2.9137605 3.2341923 3.2310989 3.3421550 3.2649655
#> 92 3.9064050 3.3316662 3.1511903 3.6249138 3.4756294 3.7376463 3.4899857
#> 93 3.2572995 2.7513633 2.6419690 2.9546573 2.9478806 3.0919250 2.9512709
#> 94 2.4103942 2.1189620 2.1400935 2.1517435 2.4062419 2.2847319 2.4351591
#> 95 3.3630343 2.8722813 2.7495454 3.0935417 3.0708305 3.2093613 3.0967725
#> 96 3.3376639 2.8035692 2.6324893 3.0757113 2.9597297 3.1764760 2.9899833
#> 97 3.3763886 2.8460499 2.6962938 3.1080541 3.0232433 3.2171416 3.0495901
#> 98 3.6796739 3.0951575 2.9308702 3.3734256 3.2434549 3.5028560 3.2403703
#> 99 2.1633308 1.7944358 1.8411953 1.8814888 2.1118712 2.0273135 2.1307276
#> 100 3.3015148 2.7784888 2.6476405 3.0232433 2.9698485 3.1416556 2.9899833
#> 101 5.5677644 4.9699095 4.7864392 5.3235327 5.1322510 5.4175640 5.1672043
#> 102 4.4204072 3.9012818 3.7669616 4.1641326 4.1036569 4.2743421 4.1352146
#> 103 5.6656862 5.0398413 4.8507731 5.3646994 5.1710734 5.4909016 5.1672043
#> 104 4.9749372 4.4147480 4.2308392 4.7063787 4.5617979 4.8145612 4.5836667
#> 105 5.3572381 4.7644517 4.5880279 5.0852729 4.9234135 5.1971146 4.9416596
#> 106 6.4791975 5.8532043 5.6453521 6.1741396 5.9581876 6.3000000 5.9497899
#> 107 3.6373067 3.2603681 3.1906112 3.4394767 3.5199432 3.5270384 3.5846897
#> 108 6.0049979 5.4018515 5.1932649 5.7026310 5.5045436 5.8266629 5.4990908
#> 109 5.3469618 4.7927028 4.6281746 5.0467812 4.9446941 5.1788030 4.9446941
#> 110 6.0274373 5.3581713 5.1478151 5.7489129 5.4763126 5.8566202 5.4836119
#> 111 4.7000000 4.0681691 3.8884444 4.4170126 4.2201896 4.5321077 4.2296572
#> 112 4.8104054 4.2402830 4.0877867 4.5188494 4.4136153 4.6465041 4.4204072
#> 113 5.2009614 4.5771170 4.4022721 4.9040799 4.7275787 5.0299105 4.7275787
#> 114 4.3714986 3.8742741 3.7709415 4.1121770 4.1048752 4.2308392 4.1340053
#> 115 4.6260134 4.0767634 3.9661064 4.3749286 4.3104524 4.4866469 4.3428102
#> 116 4.9406477 4.3162484 4.1496988 4.6701178 4.4888751 4.7812132 4.5066617
#> 117 4.9648766 4.3760713 4.1856899 4.6850827 4.5133136 4.7979162 4.5265881
#> 118 6.6640828 5.9958319 5.7480431 6.3835727 6.0638272 6.4853681 6.0671245
#> 119 6.8571131 6.2513998 6.0671245 6.5436993 6.3796552 6.6805688 6.3671030
#> 120 4.3520110 3.8807216 3.7669616 4.0595566 4.0767634 4.1964271 4.0841156
#> 121 5.4790510 4.8373546 4.6529560 5.1903757 4.9819675 5.3094256 4.9859803
#> 122 4.2190046 3.7013511 3.5791060 3.9774364 3.9217343 4.0804412 3.9623226
#> 123 6.5916614 5.9791304 5.7758116 6.2793312 6.0835845 6.4109282 6.0704201
#> 124 4.4022721 3.8288379 3.6891733 4.1036569 4.0124805 4.2367440 4.0149720
#> 125 5.3169540 4.6893496 4.4877611 5.0428167 4.8197510 5.1497573 4.8342528
#> 126 5.7000000 5.0724747 4.8518038 5.4046276 5.1662365 5.5208695 5.1643005
#> 127 4.2673177 3.6891733 3.5468296 3.9761791 3.8742741 4.1036569 3.8820098
#> 128 4.2953463 3.7134889 3.5496479 4.0236799 3.8845849 4.1352146 3.9051248
#> 129 5.1244512 4.5497253 4.3897608 4.8456166 4.7222876 4.9648766 4.7370877
#> 130 5.4854353 4.8713448 4.6583259 5.1778374 4.9648766 5.3028294 4.9547957
#> 131 5.9236813 5.3094256 5.1166395 5.6080300 5.4249424 5.7428216 5.4101756
#> 132 6.4699304 5.7879185 5.5362442 6.1757591 5.8412327 6.2841069 5.8326666
#> 133 5.1623638 4.5836667 4.4294469 4.8836462 4.7634021 5.0039984 4.7780749
#> 134 4.4609416 3.9038443 3.7269290 4.1737274 4.0472213 4.2930176 4.0570926
#> 135 4.8145612 4.3197222 4.1388404 4.5497253 4.4586994 4.6572524 4.4833024
#> 136 6.1951594 5.5389530 5.3525695 5.8736701 5.6621551 6.0124870 5.6409219
#> 137 5.1942276 4.5760245 4.3920383 4.9457052 4.7370877 5.0408333 4.7686476
#> 138 4.9203658 4.3324358 4.1352146 4.6508064 4.4665423 4.7560488 4.4866469
#> 139 4.1725292 3.5958309 3.4380227 3.9051248 3.7749172 4.0149720 3.7986840
#> 140 5.1652686 4.5232732 4.3439613 4.8641546 4.6669048 4.9909919 4.6626173
#> 141 5.3507009 4.7212287 4.5541190 5.0665570 4.8877398 5.1865210 4.8959167
#> 142 5.0109879 4.3485630 4.1928511 4.7021272 4.5155288 4.8373546 4.5044423
#> 143 4.4204072 3.9012818 3.7669616 4.1641326 4.1036569 4.2743421 4.1352146
#> 144 5.5973208 4.9709154 4.7812132 5.3188345 5.1137071 5.4313902 5.1254268
#> 145 5.4726593 4.8321838 4.6540305 5.1990384 4.9909919 5.3103672 5.0049975
#> 146 4.9949975 4.3577517 4.2071368 4.6957428 4.5354162 4.8270074 4.5332108
#> 147 4.5475268 3.9924930 3.8716921 4.2449971 4.1928511 4.3852024 4.1928511
#> 148 4.7853944 4.1737274 4.0062451 4.4966654 4.3358967 4.6184413 4.3428102
#> 149 4.9497475 4.3335897 4.1509035 4.7031904 4.4966654 4.7968740 4.5299007
#> 150 4.3920383 3.8405729 3.6715120 4.1412558 4.0112342 4.2402830 4.0459857
#> 50 51 52 53 54 55 56
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
#> 11
#> 12
#> 13
#> 14
#> 15
#> 16
#> 17
#> 18
#> 19
#> 20
#> 21
#> 22
#> 23
#> 24
#> 25
#> 26
#> 27
#> 28
#> 29
#> 30
#> 31
#> 32
#> 33
#> 34
#> 35
#> 36
#> 37
#> 38
#> 39
#> 40
#> 41
#> 42
#> 43
#> 44
#> 45
#> 46
#> 47
#> 48
#> 49
#> 50
#> 51 4.0422766
#> 52 3.6428011 0.6403124
#> 53 4.1940434 0.2645751 0.6480741
#> 54 3.0364453 1.8867962 1.3820275 1.8574176
#> 55 3.7986840 0.6557439 0.4242641 0.5830952 1.2845233
#> 56 3.4000000 1.3784049 0.8306624 1.3152946 0.7348469 0.8306624
#> 57 3.8131352 0.7348469 0.2645751 0.6708204 1.4899664 0.5567764 0.8602325
#> 58 2.2516660 2.6776856 2.1400935 2.7018512 0.9746794 2.1587033 1.5264338
#> 59 3.7643060 0.5196152 0.4242641 0.5099020 1.3892444 0.2449490 0.9110434
#> 60 2.8442925 2.0322401 1.4352700 2.0149442 0.5196152 1.4832397 0.7937254
#> 61 2.5961510 2.6532998 2.1563859 2.6514147 0.8246211 2.0856654 1.4899664
#> 62 3.2295511 1.2288206 0.6164414 1.2247449 0.8544004 0.7483315 0.4582576
#> 63 3.1000000 1.6278821 1.2884099 1.6370706 0.5916080 1.1045361 0.8888194
#> 64 3.7013511 0.9486833 0.4795832 0.8544004 1.1045361 0.4358899 0.4690416
#> 65 2.5632011 1.8083141 1.2569805 1.8601075 0.7280110 1.3638182 0.9110434
#> 66 3.6565011 0.4358899 0.3464102 0.5477226 1.5000000 0.4242641 1.0535654
#> 67 3.4278273 1.4317821 0.8246211 1.3638182 0.8888194 0.9273618 0.3000000
#> 68 2.9883106 1.4866069 1.0099505 1.5033296 0.5916080 1.0000000 0.5196152
#> 69 3.7349699 1.3000000 1.0198039 1.2083046 0.8888194 0.6782330 0.8062258
#> 70 2.8390139 1.7832555 1.2845233 1.7916473 0.3162278 1.2449900 0.7071068
#> 71 3.8652296 1.1747340 0.6557439 1.0535654 1.3638182 0.8062258 0.7348469
#> 72 3.0708305 1.2124356 0.7348469 1.2569805 0.7810250 0.7483315 0.6403124
#> 73 4.0336088 1.0148892 0.8124038 0.8485281 1.2369317 0.4690416 0.8062258
#> 74 3.6537652 1.0049876 0.6164414 0.9273618 1.0535654 0.5099020 0.4582576
#> 75 3.4263683 0.7874008 0.4123106 0.8306624 1.1224972 0.3872983 0.7348469
#> 76 3.6180105 0.5385165 0.3162278 0.6000000 1.3674794 0.3162278 0.9327379
#> 77 4.0607881 0.4582576 0.6480741 0.3464102 1.6093477 0.3741657 1.1445523
#> 78 4.2649736 0.5567764 0.6480741 0.3162278 1.7578396 0.5291503 1.2041595
#> 79 3.5298725 1.0677078 0.5000000 1.0049876 0.9486833 0.5196152 0.3741657
#> 80 2.4556058 1.9104973 1.4491377 1.9748418 0.6855655 1.4628739 1.0630146
#> 81 2.7622455 1.9467922 1.4491377 1.9544820 0.3000000 1.4000000 0.8544004
#> 82 2.6438608 2.0124612 1.5297059 2.0346990 0.4358899 1.4899664 0.9643651
#> 83 2.8722813 1.5394804 1.0295630 1.5684387 0.5196152 1.0392305 0.6244998
#> 84 4.1243181 1.2041595 0.8831761 1.0099505 1.3076697 0.7211103 0.7416198
#> 85 3.3985291 1.6278821 1.0198039 1.5556349 0.8888194 1.1224972 0.4123106
#> 86 3.5468296 1.0583005 0.4582576 1.0344080 1.3416408 0.7937254 0.7348469
#> 87 3.9382737 0.3316625 0.3741657 0.2828427 1.6155494 0.3741657 1.0816654
#> 88 3.5916570 1.1832160 0.9327379 1.1357817 0.8944272 0.6082763 0.7874008
#> 89 2.9916551 1.5394804 0.9380832 1.5427249 0.7141428 1.0677078 0.4582576
#> 90 2.9765752 1.8000000 1.2609520 1.7804494 0.2000000 1.2206556 0.6164414
#> 91 3.2771939 1.6552945 1.1269428 1.5968719 0.5099020 1.0816654 0.3162278
#> 92 3.6027767 0.9273618 0.3872983 0.8660254 1.1045361 0.4582576 0.4690416
#> 93 2.9816103 1.5264338 1.0295630 1.5362291 0.4358899 0.9899495 0.5567764
#> 94 2.2912878 2.6324893 2.1118712 2.6570661 0.9110434 2.1071308 1.5066519
#> 95 3.1256999 1.5716234 1.0099505 1.5427249 0.4582576 1.0099505 0.3316625
#> 96 3.0692019 1.4212670 0.8426150 1.4247807 0.7615773 0.9643651 0.3741657
#> 97 3.1144823 1.4282857 0.8426150 1.4177447 0.6633250 0.9219544 0.3162278
#> 98 3.3496268 0.9486833 0.4582576 0.9643651 0.9695360 0.4795832 0.5477226
#> 99 2.0049938 2.6608269 2.1424285 2.7147744 1.1135529 2.1840330 1.6552945
#> 100 3.0397368 1.4899664 0.9219544 1.4866069 0.5477226 0.9643651 0.4000000
#> 101 5.3047149 1.8439089 1.8083141 1.6155494 2.6608269 1.8027756 2.0736441
#> 102 4.1928511 1.4491377 1.0630146 1.2529964 1.3490738 0.9539392 0.8602325
#> 103 5.3254108 1.4071247 1.6881943 1.1874342 2.7018512 1.5652476 2.1447611
#> 104 4.6957428 1.2449900 1.1832160 0.9899495 1.9519221 1.0677078 1.3527749
#> 105 5.0695167 1.4628739 1.4933185 1.2124356 2.3537205 1.4035669 1.7832555
#> 106 6.1237244 2.1213203 2.5000000 1.9364917 3.5071356 2.3685439 2.9495762
#> 107 3.5369478 2.2427661 1.6673332 2.1354157 0.9000000 1.6431677 0.9433981
#> 108 5.6586217 1.7029386 2.0566964 1.5000000 3.0232433 1.9052559 2.4617067
#> 109 5.0447993 1.3964240 1.5362291 1.1401754 2.2293497 1.2884099 1.7406895
#> 110 5.6841886 1.8357560 2.0880613 1.6673332 3.2295511 2.0928450 2.6248809
#> 111 4.3806392 0.8774964 0.7874008 0.6782330 1.8734994 0.8124038 1.2845233
#> 112 4.5188494 1.1045361 1.0246951 0.8544004 1.7378147 0.8185353 1.2247449
#> 113 4.8733972 1.1000000 1.2489996 0.8602325 2.2516660 1.1401754 1.7000000
#> 114 4.1629317 1.6217275 1.2165525 1.4352700 1.2529964 1.0677078 0.9110434
#> 115 4.4068129 1.6613248 1.3000000 1.4662878 1.6613248 1.2449900 1.2569805
#> 116 4.6465041 1.2369317 1.1313708 1.0295630 2.0760539 1.1401754 1.5132746
#> 117 4.6593991 1.0440307 1.0677078 0.7874008 1.9974984 0.9695360 1.3892444
#> 118 6.2952363 2.3430749 2.7166155 2.2045408 3.8974351 2.7092434 3.2634338
#> 119 6.5145990 2.5495098 2.9068884 2.3515952 3.7868192 2.7221315 3.2863353
#> 120 4.1060930 1.4491377 1.1874342 1.2767145 1.1401754 0.8774964 0.8602325
#> 121 5.1497573 1.3490738 1.5264338 1.1357817 2.5806976 1.4730920 2.0099751
#> 122 4.0124805 1.5874508 1.1000000 1.4247807 1.2489996 1.0723805 0.8124038
#> 123 6.2345810 2.2383029 2.6343880 2.0542639 3.5874782 2.4698178 3.0545049
#> 124 4.1060930 0.9695360 0.7141428 0.7810250 1.3638182 0.4795832 0.8831761
#> 125 4.9989999 1.2609520 1.3784049 1.0392305 2.4433583 1.3638182 1.8248288
#> 126 5.3450912 1.3747727 1.7262677 1.1832160 2.8195744 1.6431677 2.2158520
#> 127 3.9761791 0.9848858 0.6164414 0.8246211 1.2767145 0.4690416 0.7681146
#> 128 4.0137264 1.0246951 0.6164414 0.8602325 1.3820275 0.6164414 0.7810250
#> 129 4.8435524 1.3490738 1.3152946 1.0908712 2.0639767 1.1704700 1.5297059
#> 130 5.1234754 1.1532563 1.5427249 0.9591663 2.5903668 1.4071247 2.0174241
#> 131 5.5668663 1.5905974 1.9697716 1.3928388 2.9376862 1.7944358 2.4103942
#> 132 6.0745370 2.1023796 2.5436195 1.9974984 3.7762415 2.5396850 3.1527766
#> 133 4.8836462 1.4035669 1.3638182 1.1489125 2.1047565 1.2247449 1.5842980
#> 134 4.1617304 0.9055385 0.7280110 0.7000000 1.4628739 0.5385165 0.8717798
#> 135 4.5585085 1.4071247 1.2922848 1.1789826 1.7378147 1.1000000 1.1916375
#> 136 5.8206529 1.8165902 2.2203603 1.6522712 3.2771939 2.0904545 2.7568098
#> 137 4.9173163 1.5297059 1.4387495 1.3228757 2.3706539 1.4866069 1.7720045
#> 138 4.6227697 1.0816654 1.0488088 0.8366600 1.9874607 1.0000000 1.3527749
#> 139 3.9000000 1.1000000 0.6164414 0.9591663 1.2767145 0.6480741 0.6855655
#> 140 4.8228622 1.0000000 1.1958261 0.7810250 2.2803509 1.1180340 1.7262677
#> 141 5.0408333 1.3820275 1.4560220 1.1575837 2.4186773 1.3928388 1.8734994
#> 142 4.6636895 0.9949874 1.1224972 0.8246211 2.1931712 1.0677078 1.7000000
#> 143 4.1928511 1.4491377 1.0630146 1.2529964 1.3490738 0.9539392 0.8602325
#> 144 5.2829916 1.5132746 1.6613248 1.2884099 2.6664583 1.6062378 2.0808652
#> 145 5.1643005 1.5198684 1.5937377 1.3114877 2.6019224 1.5811388 2.0322401
#> 146 4.6722586 1.0908712 1.1224972 0.8831761 2.0904545 1.0392305 1.5905974
#> 147 4.2638011 1.1489125 0.9539392 0.9433981 1.4282857 0.6708204 1.0295630
#> 148 4.4743715 0.9486833 0.8888194 0.7141428 1.8493242 0.8062258 1.2884099
#> 149 4.6754679 1.4071247 1.2369317 1.2124356 2.1587033 1.3152946 1.5556349
#> 150 4.1412558 1.2529964 0.8602325 1.0677078 1.4525839 0.8602325 0.8306624
#> 57 58 59 60 61 62 63
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
#> 11
#> 12
#> 13
#> 14
#> 15
#> 16
#> 17
#> 18
#> 19
#> 20
#> 21
#> 22
#> 23
#> 24
#> 25
#> 26
#> 27
#> 28
#> 29
#> 30
#> 31
#> 32
#> 33
#> 34
#> 35
#> 36
#> 37
#> 38
#> 39
#> 40
#> 41
#> 42
#> 43
#> 44
#> 45
#> 46
#> 47
#> 48
#> 49
#> 50
#> 51
#> 52
#> 53
#> 54
#> 55
#> 56
#> 57
#> 58 2.2561028
#> 59 0.5916080 2.2181073
#> 60 1.5000000 0.8366600 1.5811388
#> 61 2.2759613 0.4582576 2.1610183 0.9219544
#> 62 0.7141428 1.5556349 0.8366600 0.8246211 1.5968719
#> 63 1.4662878 1.3190906 1.1401754 1.0295630 1.1357817 0.9695360
#> 64 0.4898979 1.9519221 0.5196152 1.2206556 1.9026298 0.5567764 1.0723805
#> 65 1.3964240 0.9591663 1.4142136 0.5477226 1.1269428 0.7071068 0.9486833
#> 66 0.5744563 2.2583180 0.3162278 1.6309506 2.2516660 0.8366600 1.2727922
#> 67 0.7937254 1.5937377 1.0295630 0.7874008 1.6155494 0.4242641 1.1401754
#> 68 1.1532563 1.2409674 1.0099505 0.7483315 1.2206556 0.6000000 0.5477226
#> 69 1.1269428 1.8493242 0.8366600 1.2727922 1.6522712 0.9055385 0.7348469
#> 70 1.4212670 0.9327379 1.3000000 0.5385165 0.8831761 0.7681146 0.5196152
#> 71 0.4690416 2.1283797 0.9327379 1.3076697 2.1400935 0.7000000 1.5132746
#> 72 0.9327379 1.4764823 0.7874008 0.9165151 1.4798649 0.4000000 0.6782330
#> 73 0.8306624 2.1863211 0.6164414 1.5033296 2.0371549 0.9486833 1.1135529
#> 74 0.6708204 1.8973666 0.5291503 1.2247449 1.8248288 0.6480741 0.9486833
#> 75 0.6480741 1.8947295 0.3605551 1.2845233 1.8708287 0.5567764 0.9110434
#> 76 0.5567764 2.1494185 0.2449490 1.5165751 2.1283797 0.7348469 1.1489125
#> 77 0.7416198 2.4859606 0.3162278 1.8384776 2.3937418 1.1045361 1.3416408
#> 78 0.5916080 2.6419690 0.5830952 1.9078784 2.5748786 1.1489125 1.6186414
#> 79 0.5477226 1.7748239 0.6403124 1.0246951 1.7492856 0.3316625 0.9949874
#> 80 1.6278821 0.8485281 1.4832397 0.7615773 0.9219544 0.9695360 0.7071068
#> 81 1.5842980 0.7874008 1.4628739 0.5291503 0.7141428 0.9165151 0.5830952
#> 82 1.6763055 0.7211103 1.5362291 0.6164414 0.6708204 1.0099505 0.6164414
#> 83 1.1874342 1.1401754 1.0862780 0.6324555 1.1532563 0.5291503 0.5830952
#> 84 0.7810250 2.2135944 0.8602325 1.4560220 2.1000000 0.9591663 1.3490738
#> 85 0.9746794 1.5165751 1.2247449 0.7071068 1.5524175 0.5830952 1.2247449
#> 86 0.3741657 2.0024984 0.8426150 1.2369317 2.0784610 0.5196152 1.4317821
#> 87 0.4582576 2.4372115 0.3162278 1.7492856 2.4062419 0.9486833 1.4282857
#> 88 1.0862780 1.8083141 0.7000000 1.2767145 1.6370706 0.8544004 0.5916080
#> 89 1.0148892 1.2569805 1.1224972 0.5477226 1.3453624 0.3741657 0.9486833
#> 90 1.3638182 0.9746794 1.3152946 0.3872983 0.9165151 0.7000000 0.6557439
#> 91 1.1747340 1.2845233 1.1618950 0.6244998 1.2083046 0.6708204 0.7810250
#> 92 0.4242641 1.9104973 0.5196152 1.1789826 1.8920888 0.4582576 1.0816654
#> 93 1.1789826 1.1747340 1.0488088 0.6480741 1.1357817 0.5477226 0.4898979
#> 94 2.2383029 0.1414214 2.1679483 0.8485281 0.3605551 1.5362291 1.2247449
#> 95 1.0908712 1.2165525 1.0954451 0.5099020 1.1958261 0.4690416 0.7348469
#> 96 0.9273618 1.3601471 0.9949874 0.6855655 1.4212670 0.3605551 0.9000000
#> 97 0.9273618 1.3379088 0.9848858 0.6244998 1.3711309 0.3000000 0.8426150
#> 98 0.6480741 1.7406895 0.5000000 1.1000000 1.7262677 0.3872983 0.8426150
#> 99 2.2847319 0.3872983 2.2383029 0.9746794 0.7211103 1.5779734 1.3820275
#> 100 1.0295630 1.2369317 1.0344080 0.5567764 1.2569805 0.3605551 0.7416198
#> 101 1.5811388 3.5085610 1.9104973 2.6814175 3.4467376 2.1189620 2.7477263
#> 102 0.9273618 2.2248595 1.1357817 1.4317821 2.1213203 1.0344080 1.5198684
#> 103 1.5556349 3.6290495 1.6093477 2.8618176 3.5185224 2.1656408 2.5826343
#> 104 1.0049876 2.8530685 1.1575837 2.0736441 2.7477263 1.4899664 1.9442222
#> 105 1.3038405 3.2572995 1.5066519 2.4556058 3.1591138 1.8466185 2.3600847
#> 106 2.3748684 4.4440972 2.3769729 3.6918830 4.3104524 3.0016662 3.3421550
#> 107 1.6278821 1.3928388 1.7944358 0.7615773 1.3228757 1.1747340 1.4282857
#> 108 1.9390719 3.9560081 1.9052559 3.2202484 3.8183766 2.5436195 2.8478062
#> 109 1.4317821 3.1843367 1.3638182 2.4617067 3.0116441 1.8814888 2.1118712
#> 110 1.9157244 4.1012193 2.1307276 3.2954514 4.0509258 2.5806976 3.1717503
#> 111 0.6082763 2.7276363 0.9165151 1.9339080 2.6925824 1.2083046 1.8601075
#> 112 0.9055385 2.6739484 0.9643651 1.9104973 2.5495098 1.3076697 1.7058722
#> 113 1.1090537 3.1654384 1.2247449 2.3874673 3.0740852 1.6911535 2.1771541
#> 114 1.1180340 2.1307276 1.2727922 1.3638182 1.9974984 1.0862780 1.4764823
#> 115 1.1401754 2.4839485 1.4525839 1.6763055 2.4083189 1.2922848 1.8894444
#> 116 0.9327379 2.9291637 1.2727922 2.1118712 2.8861739 1.4628739 2.1307276
#> 117 0.9000000 2.8982753 1.0392305 2.1213203 2.8089144 1.4628739 1.9442222
#> 118 2.5632011 4.7749346 2.6907248 3.9924930 4.7127487 3.2588341 3.7656341
#> 119 2.7892651 4.7465777 2.7549955 4.0087405 4.5716518 3.3660065 3.6262929
#> 120 1.1832160 2.0952327 1.0246951 1.4525839 1.8814888 1.1357817 1.1180340
#> 121 1.3638182 3.4770677 1.5459625 2.6814175 3.4029399 1.9824228 2.5278449
#> 122 0.9695360 2.0518285 1.2609520 1.2369317 1.9899749 0.9327379 1.5264338
#> 123 2.5238859 4.5343136 2.4738634 3.8026307 4.3783559 3.1272992 3.3970576
#> 124 0.6633250 2.2912878 0.6855655 1.5394804 2.1863211 0.9110434 1.3379088
#> 125 1.1874342 3.3196385 1.4212670 2.5179357 3.2603681 1.8275667 2.4083189
#> 126 1.5968719 3.7229021 1.6309506 2.9698485 3.6290495 2.2494444 2.6608269
#> 127 0.5567764 2.1771541 0.6782330 1.4071247 2.1000000 0.7615773 1.2961481
#> 128 0.4582576 2.2360680 0.7745967 1.4352700 2.1931712 0.7874008 1.4491377
#> 129 1.1489125 2.9849623 1.3000000 2.1977261 2.8670542 1.6155494 2.0712315
#> 130 1.4525839 3.5014283 1.3784049 2.7820855 3.3896903 2.0639767 2.3832751
#> 131 1.8734994 3.8807216 1.8055470 3.1527766 3.7376463 2.4617067 2.7459060
#> 132 2.4207437 4.6443514 2.4959968 3.8871583 4.5891176 3.1192948 3.5958309
#> 133 1.1958261 3.0232433 1.3638182 2.2315914 2.9068884 1.6552945 2.1260292
#> 134 0.6480741 2.3685439 0.6244998 1.6340135 2.2671568 1.0049876 1.3820275
#> 135 1.1747340 2.6324893 1.1618950 1.9261360 2.4779023 1.4730920 1.7000000
#> 136 2.1213203 4.2107007 2.1142375 3.4626579 4.0914545 2.7367864 3.1032241
#> 137 1.2083046 3.1953091 1.5968719 2.3643181 3.1654384 1.7578396 2.4596748
#> 138 0.8544004 2.8670542 1.0677078 2.0784610 2.7946377 1.4282857 1.9646883
#> 139 0.4795832 2.1118712 0.8124038 1.3038405 2.0808652 0.6782330 1.3856406
#> 140 1.0677078 3.1796226 1.1874342 2.4062419 3.1048349 1.6763055 2.1886069
#> 141 1.2845233 3.3136083 1.5033296 2.5099801 3.2357379 1.8493242 2.4124676
#> 142 1.0246951 3.0692019 1.1747340 2.3021729 3.0116441 1.5684387 2.1260292
#> 143 0.9273618 2.2248595 1.1357817 1.4317821 2.1213203 1.0344080 1.5198684
#> 144 1.4798649 3.5637059 1.6792856 2.7604347 3.4828150 2.0928450 2.6343880
#> 145 1.4035669 3.4727511 1.6792856 2.6570661 3.4161382 1.9949937 2.6153394
#> 146 0.9949874 2.9832868 1.1747340 2.2000000 2.9103264 1.5099669 2.0639767
#> 147 0.9055385 2.3811762 0.8774964 1.6462078 2.2360680 1.1000000 1.4106736
#> 148 0.7348469 2.7440845 0.9327379 1.9570386 2.6720778 1.2688578 1.8248288
#> 149 1.0000000 2.9647934 1.4317821 2.1330729 2.9495762 1.5264338 2.2649503
#> 150 0.6708204 2.2891046 1.0000000 1.4764823 2.2383029 0.9486833 1.5811388
#> 64 65 66 67 68 69 70
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
#> 11
#> 12
#> 13
#> 14
#> 15
#> 16
#> 17
#> 18
#> 19
#> 20
#> 21
#> 22
#> 23
#> 24
#> 25
#> 26
#> 27
#> 28
#> 29
#> 30
#> 31
#> 32
#> 33
#> 34
#> 35
#> 36
#> 37
#> 38
#> 39
#> 40
#> 41
#> 42
#> 43
#> 44
#> 45
#> 46
#> 47
#> 48
#> 49
#> 50
#> 51
#> 52
#> 53
#> 54
#> 55
#> 56
#> 57
#> 58
#> 59
#> 60
#> 61
#> 62
#> 63
#> 64
#> 65 1.2124356
#> 66 0.7000000 1.3784049
#> 67 0.5567764 0.9273618 1.1135529
#> 68 0.8062258 0.6480741 1.1045361 0.7348469
#> 69 0.7416198 1.3038405 1.0392305 1.0000000 0.9055385
#> 70 1.0677078 0.5385165 1.3820275 0.8774964 0.3605551 0.9848858
#> 71 0.5477226 1.3674794 0.9848858 0.5567764 1.1789826 1.1269428 1.3711309
#> 72 0.7141428 0.6480741 0.7874008 0.7615773 0.4472136 0.8124038 0.6244998
#> 73 0.5000000 1.5427249 0.8831761 0.9486833 1.0862780 0.5099020 1.2845233
#> 74 0.2236068 1.2165525 0.7615773 0.6480741 0.7071068 0.7071068 0.9949874
#> 75 0.5099020 1.0630146 0.3872983 0.8544004 0.7280110 0.7810250 1.0000000
#> 76 0.5916080 1.2884099 0.1414214 1.0099505 0.9899495 0.9055385 1.2609520
#> 77 0.7141428 1.7029386 0.5099020 1.2569805 1.2884099 0.9055385 1.5588457
#> 78 0.7416198 1.8275667 0.6782330 1.2247449 1.4832397 1.0862780 1.7406895
#> 79 0.2449490 1.0049876 0.7416198 0.4123106 0.7000000 0.7280110 0.9165151
#> 80 1.3601471 0.4472136 1.4899664 1.1916375 0.6164414 1.2884099 0.4358899
#> 81 1.2288206 0.5830952 1.5427249 1.0099505 0.5291503 1.0862780 0.1732051
#> 82 1.3304135 0.6000000 1.6062378 1.1224972 0.5830952 1.1916375 0.2645751
#> 83 0.9000000 0.4242641 1.1224972 0.7615773 0.2828427 0.9273618 0.3000000
#> 84 0.5000000 1.5937377 1.0862780 0.7874008 1.1832160 0.8124038 1.3747727
#> 85 0.7416198 0.9486833 1.3114877 0.2000000 0.8124038 1.1313708 0.9000000
#> 86 0.5830952 1.1445523 0.7937254 0.5744563 1.0246951 1.2206556 1.2569805
#> 87 0.6403124 1.5811388 0.3162278 1.1224972 1.2569805 1.0488088 1.5394804
#> 88 0.7071068 1.2206556 0.9000000 1.0148892 0.7681146 0.2645751 0.9055385
#> 89 0.7937254 0.5099020 1.1489125 0.4472136 0.4690416 1.0954451 0.5744563
#> 90 1.0099505 0.5744563 1.4035669 0.7416198 0.4795832 0.9327379 0.2449490
#> 91 0.7615773 0.8660254 1.3152946 0.5196152 0.4795832 0.8660254 0.5291503
#> 92 0.1414214 1.1269428 0.6403124 0.5196152 0.7681146 0.8185353 1.0392305
#> 93 0.8426150 0.5477226 1.1224972 0.7348469 0.2449490 0.8124038 0.2645751
#> 94 1.9209373 0.9486833 2.2135944 1.5937377 1.2000000 1.7720045 0.8774964
#> 95 0.7416198 0.6324555 1.1916375 0.4690416 0.3741657 0.8602325 0.4123106
#> 96 0.6782330 0.6244998 1.0440307 0.4358899 0.3872983 1.0344080 0.6000000
#> 97 0.6480741 0.6082763 1.0440307 0.3872983 0.3872983 0.9327379 0.5477226
#> 98 0.4242641 0.9219544 0.5567764 0.6708204 0.5744563 0.7549834 0.8485281
#> 99 2.0346990 0.9000000 2.2293497 1.7058722 1.3228757 1.9261360 1.0295630
#> 100 0.7348469 0.5196152 1.0908712 0.5000000 0.3316625 0.9000000 0.4242641
#> 101 1.7606817 2.8017851 1.9924859 1.9570386 2.5436195 2.1142375 2.7386128
#> 102 0.7348469 1.6401219 1.3076697 0.8062258 1.3453624 0.9643651 1.4696938
#> 103 1.7146428 2.8618176 1.7058722 2.1377558 2.4959968 1.9416488 2.7386128
#> 104 1.0049876 2.1771541 1.3416408 1.3416408 1.7832555 1.3416408 2.0074860
#> 105 1.4212670 2.5436195 1.6278821 1.7291616 2.2158520 1.7058722 2.4248711
#> 106 2.5219040 3.6945906 2.4799194 2.9614186 3.2848135 2.7147744 3.5411862
#> 107 1.3152946 1.2727922 1.9235384 0.8831761 1.2247449 1.3490738 1.1000000
#> 108 2.0396078 3.2295511 2.0420578 2.4959968 2.7874720 2.2427661 3.0495901
#> 109 1.3747727 2.5416530 1.5748016 1.8000000 2.0928450 1.4560220 2.3043437
#> 110 2.2068076 3.2771939 2.1447611 2.5455844 3.0033315 2.5534291 3.2511536
#> 111 0.8774964 1.9078784 0.9486833 1.2083046 1.6552945 1.3038405 1.8841444
#> 112 0.8602325 1.9824228 1.1445523 1.2369317 1.6155494 1.0440307 1.8110770
#> 113 1.2767145 2.3874673 1.3114877 1.6733201 2.0639767 1.5362291 2.2912878
#> 114 0.8774964 1.6186414 1.4422205 0.8717798 1.3638182 0.9165151 1.4247807
#> 115 1.1224972 1.8734994 1.5459625 1.1180340 1.7233688 1.3000000 1.8055470
#> 116 1.1618950 2.1494185 1.3114877 1.4000000 1.9339080 1.5231546 2.1283797
#> 117 0.9848858 2.1633308 1.1916375 1.3784049 1.7832555 1.3490738 2.0273135
#> 118 2.8301943 3.9547440 2.7239677 3.2218007 3.6083237 3.1843367 3.8923001
#> 119 2.8809721 4.0484565 2.8827071 3.3120990 3.6262929 2.9681644 3.8548671
#> 120 0.7745967 1.6278821 1.2922848 1.0246951 1.1618950 0.5385165 1.2727922
#> 121 1.5937377 2.6814175 1.5968719 1.9519221 2.3895606 1.8894444 2.6191602
#> 122 0.8124038 1.4798649 1.3820275 0.6708204 1.3000000 1.0630146 1.3784049
#> 123 2.6324893 3.8105118 2.5961510 3.0886890 3.3734256 2.7748874 3.6262929
#> 124 0.5291503 1.5716234 0.8544004 0.9110434 1.2369317 0.7141428 1.4212670
#> 125 1.4177447 2.5337719 1.4899664 1.7606817 2.2226111 1.8055470 2.4677925
#> 126 1.7748239 2.9427878 1.7262677 2.2226111 2.5416530 2.0832667 2.8195744
#> 127 0.4358899 1.4352700 0.8124038 0.7615773 1.1401754 0.7348469 1.3228757
#> 128 0.4582576 1.4832397 0.8831761 0.7071068 1.2083046 0.9486833 1.4106736
#> 129 1.1832160 2.3000000 1.4525839 1.5000000 1.9570386 1.4035669 2.1494185
#> 130 1.5716234 2.7386128 1.5033296 2.0639767 2.3021729 1.8275667 2.5826343
#> 131 1.9773720 3.1400637 1.9287302 2.4494897 2.7166155 2.1260292 2.9681644
#> 132 2.7018512 3.7986840 2.5079872 3.1288976 3.4510868 3.0512293 3.7469988
#> 133 1.2449900 2.3366643 1.5033296 1.5427249 2.0149442 1.4491377 2.1977261
#> 134 0.4690416 1.6703293 0.8660254 0.9433981 1.2288206 0.8544004 1.4764823
#> 135 0.9486833 2.0856654 1.4317821 1.2767145 1.5842980 1.1789826 1.8000000
#> 136 2.3108440 3.4161382 2.1702534 2.7586228 3.0643107 2.4677925 3.3075671
#> 137 1.4491377 2.4392622 1.6401219 1.6340135 2.2248595 1.8627936 2.4248711
#> 138 0.9643651 2.1307276 1.2083046 1.3190906 1.7663522 1.3928388 2.0124612
#> 139 0.4358899 1.3638182 0.9055385 0.5830952 1.1224972 0.9273618 1.3076697
#> 140 1.2884099 2.3685439 1.2369317 1.6941074 2.0663978 1.5716234 2.3021729
#> 141 1.4866069 2.5416530 1.5620499 1.8000000 2.2759613 1.7549929 2.4799194
#> 142 1.2845233 2.2315914 1.1575837 1.6431677 2.0149442 1.5165751 2.2203603
#> 143 0.7348469 1.6401219 1.3076697 0.8062258 1.3453624 0.9643651 1.4696938
#> 144 1.6822604 2.7964263 1.7549929 2.0199010 2.4859606 1.9899749 2.7147744
#> 145 1.6522712 2.6870058 1.7146428 1.9339080 2.4454039 1.9748418 2.6551836
#> 146 1.1958261 2.1863211 1.2083046 1.5297059 1.9493589 1.4212670 2.1424285
#> 147 0.7348469 1.7233688 1.0630146 1.0723805 1.3820275 0.7141428 1.5297059
#> 148 0.8831761 1.9672316 1.0246951 1.2449900 1.6703293 1.2124356 1.8867962
#> 149 1.2489996 2.2022716 1.4662878 1.4035669 2.0074860 1.7000000 2.2045408
#> 150 0.6082763 1.6124515 1.1401754 0.7348469 1.3190906 1.0862780 1.5066519
#> 71 72 73 74 75 76 77
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
#> 11
#> 12
#> 13
#> 14
#> 15
#> 16
#> 17
#> 18
#> 19
#> 20
#> 21
#> 22
#> 23
#> 24
#> 25
#> 26
#> 27
#> 28
#> 29
#> 30
#> 31
#> 32
#> 33
#> 34
#> 35
#> 36
#> 37
#> 38
#> 39
#> 40
#> 41
#> 42
#> 43
#> 44
#> 45
#> 46
#> 47
#> 48
#> 49
#> 50
#> 51
#> 52
#> 53
#> 54
#> 55
#> 56
#> 57
#> 58
#> 59
#> 60
#> 61
#> 62
#> 63
#> 64
#> 65
#> 66
#> 67
#> 68
#> 69
#> 70
#> 71
#> 72 1.0440307
#> 73 0.8660254 0.9899495
#> 74 0.7549834 0.7071068 0.5099020
#> 75 0.9165151 0.4358899 0.7549834 0.5196152
#> 76 0.9219544 0.6782330 0.7745967 0.6480741 0.2645751
#> 77 1.0630146 1.0677078 0.6000000 0.7348469 0.6557439 0.4898979
#> 78 0.8544004 1.2489996 0.6782330 0.8602325 0.8660254 0.6782330 0.4242641
#> 79 0.5291503 0.5567764 0.6403124 0.3872983 0.4898979 0.6244998 0.8660254
#> 80 1.6522712 0.7348469 1.6062378 1.2961481 1.1445523 1.3928388 1.7606817
#> 81 1.5132746 0.7745967 1.4212670 1.1575837 1.1618950 1.4212670 1.7146428
#> 82 1.6278821 0.8366600 1.5297059 1.2489996 1.2288206 1.4899664 1.7944358
#> 83 1.1958261 0.3464102 1.1747340 0.8602325 0.7549834 1.0099505 1.3638182
#> 84 0.6244998 1.1489125 0.4242641 0.5830952 0.9643651 0.9899495 0.8831761
#> 85 0.6855655 0.9055385 1.1045361 0.8124038 1.0440307 1.2083046 1.4491377
#> 86 0.4242641 0.8426150 1.0344080 0.7549834 0.7348469 0.7549834 1.0630146
#> 87 0.8660254 0.9899495 0.7483315 0.7348469 0.5744563 0.3464102 0.3464102
#> 88 1.1747340 0.6708204 0.5744563 0.6244998 0.6164414 0.7681146 0.8185353
#> 89 0.9327379 0.5477226 1.1916375 0.8124038 0.8306624 1.0488088 1.4071247
#> 90 1.2409674 0.6708204 1.2206556 0.9746794 1.0295630 1.2767145 1.5588457
#> 91 1.0198039 0.7549834 0.9949874 0.7000000 0.9591663 1.1874342 1.3892444
#> 92 0.5291503 0.6403124 0.6244998 0.3000000 0.4472136 0.5385165 0.7549834
#> 93 1.1704700 0.3741657 1.0770330 0.7874008 0.7416198 1.0000000 1.3114877
#> 94 2.1236761 1.4282857 2.1307276 1.8601075 1.8466185 2.1023796 2.4289916
#> 95 0.9746794 0.5477226 1.0295630 0.7211103 0.8306624 1.0677078 1.3490738
#> 96 0.8944272 0.5000000 1.0908712 0.6708204 0.7211103 0.9433981 1.2845233
#> 97 0.8602325 0.4582576 1.0246951 0.6557439 0.7071068 0.9327379 1.2609520
#> 98 0.8246211 0.3316625 0.7549834 0.4358899 0.2000000 0.4358899 0.7937254
#> 99 2.2045408 1.4594520 2.2825424 1.9974984 1.8920888 2.1330729 2.5119713
#> 100 0.9695360 0.4123106 1.0630146 0.7280110 0.7348469 0.9746794 1.3076697
#> 101 1.4491377 2.3937418 1.6881943 1.9157244 2.1213203 1.9874607 1.7748239
#> 102 0.6000000 1.2922848 0.7000000 0.8660254 1.1832160 1.2124356 1.1618950
#> 103 1.6673332 2.3000000 1.5000000 1.8138357 1.9235384 1.7291616 1.3527749
#> 104 0.9433981 1.6911535 0.8602325 1.1045361 1.3964240 1.3038405 1.0295630
#> 105 1.2489996 2.0615528 1.2609520 1.5524175 1.7549929 1.6155494 1.3304135
#> 106 2.5019992 3.1128765 2.2781571 2.5903668 2.7166155 2.5159491 2.1000000
#> 107 1.2609520 1.3928388 1.4696938 1.3490738 1.6155494 1.8000000 1.9697716
#> 108 2.0736441 2.6438608 1.7916473 2.0904545 2.2494444 2.0663978 1.6340135
#> 109 1.4594520 1.9849433 1.0295630 1.4212670 1.6583124 1.5427249 1.1224972
#> 110 2.0074860 2.7748874 2.1118712 2.3452079 2.4103942 2.1954498 1.9235384
#> 111 0.7000000 1.4212670 0.9055385 1.0583005 1.1090537 0.9486833 0.8366600
#> 112 0.8717798 1.4662878 0.6082763 0.9746794 1.1832160 1.0908712 0.8185353
#> 113 1.1958261 1.8493242 1.1045361 1.4071247 1.5000000 1.3190906 1.0099505
#> 114 0.7810250 1.3190906 0.7874008 0.9899495 1.2767145 1.3341664 1.3038405
#> 115 0.7874008 1.5842980 1.0908712 1.3000000 1.4899664 1.4730920 1.4456832
#> 116 0.8660254 1.7146428 1.1401754 1.3490738 1.4456832 1.3038405 1.1747340
#> 117 0.9433981 1.6431677 0.8602325 1.0954451 1.3076697 1.1747340 0.8831761
#> 118 2.7147744 3.4146742 2.7166155 2.9257478 3.0116441 2.7892651 2.4617067
#> 119 2.8740216 3.4655447 2.5709920 2.9410882 3.0886890 2.9034462 2.4637370
#> 120 1.0677078 1.1874342 0.4358899 0.7416198 1.0862780 1.1704700 1.0246951
#> 121 1.4352700 2.1656408 1.4594520 1.7349352 1.8165902 1.6217275 1.3379088
#> 122 0.5477226 1.2449900 0.9110434 0.9643651 1.2247449 1.2845233 1.3453624
#> 123 2.6551836 3.2155870 2.3537205 2.6832816 2.8195744 2.6267851 2.1863211
#> 124 0.6480741 1.0535654 0.3605551 0.6708204 0.8124038 0.7681146 0.6557439
#> 125 1.2449900 2.0346990 1.3416408 1.5556349 1.6881943 1.5099669 1.2489996
#> 126 1.7691806 2.3706539 1.6124515 1.8493242 1.9672316 1.7663522 1.3856406
#> 127 0.5000000 0.9486833 0.4472136 0.6164414 0.7416198 0.7211103 0.7211103
#> 128 0.3000000 1.0488088 0.6164414 0.6633250 0.8426150 0.8124038 0.8366600
#> 129 1.0677078 1.8138357 0.9746794 1.3076697 1.5297059 1.4177447 1.1357817
#> 130 1.6643317 2.1400935 1.3711309 1.6186414 1.7291616 1.5362291 1.1135529
#> 131 2.0273135 2.5416530 1.7029386 2.0346990 2.1470911 1.9544820 1.5165751
#> 132 2.6381812 3.2388269 2.5980762 2.7874720 2.8213472 2.5865034 2.2649503
#> 133 1.1000000 1.8601075 1.0392305 1.3784049 1.5842980 1.4696938 1.2000000
#> 134 0.7071068 1.1357817 0.3605551 0.5385165 0.8366600 0.7937254 0.5916080
#> 135 1.0954451 1.6155494 0.7416198 0.9433981 1.3711309 1.3601471 1.0816654
#> 136 2.2847319 2.8301943 2.0712315 2.4020824 2.4372115 2.2158520 1.8303005
#> 137 1.0954451 2.0420578 1.4525839 1.6278821 1.7776389 1.6401219 1.5000000
#> 138 0.8660254 1.6370706 0.9055385 1.0862780 1.3152946 1.1916375 0.9486833
#> 139 0.2236068 0.9695360 0.6633250 0.6480741 0.8185353 0.8246211 0.9165151
#> 140 1.2083046 1.8248288 1.1532563 1.4247807 1.4628739 1.2609520 0.9746794
#> 141 1.2845233 2.0542639 1.3490738 1.6431677 1.7406895 1.5684387 1.3190906
#> 142 1.1618950 1.7146428 1.1832160 1.4491377 1.3892444 1.1832160 1.0000000
#> 143 0.6000000 1.2922848 0.7000000 0.8660254 1.1832160 1.2124356 1.1618950
#> 144 1.5066519 2.2934690 1.5427249 1.8165902 1.9519221 1.7720045 1.4764823
#> 145 1.3964240 2.2226111 1.5620499 1.8165902 1.9104973 1.7320508 1.5099669
#> 146 1.0440307 1.6852300 1.0677078 1.3638182 1.3820275 1.2083046 1.0099505
#> 147 0.8366600 1.2206556 0.4123106 0.8426150 1.0099505 0.9746794 0.7937254
#> 148 0.7745967 1.4594520 0.7937254 1.0440307 1.1489125 1.0049876 0.8062258
#> 149 0.8602325 1.8248288 1.3076697 1.4387495 1.5811388 1.4594520 1.3747727
#> 150 0.3605551 1.2409674 0.7348469 0.7745967 1.0723805 1.0677078 1.0488088
#> 78 79 80 81 82 83 84
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
#> 11
#> 12
#> 13
#> 14
#> 15
#> 16
#> 17
#> 18
#> 19
#> 20
#> 21
#> 22
#> 23
#> 24
#> 25
#> 26
#> 27
#> 28
#> 29
#> 30
#> 31
#> 32
#> 33
#> 34
#> 35
#> 36
#> 37
#> 38
#> 39
#> 40
#> 41
#> 42
#> 43
#> 44
#> 45
#> 46
#> 47
#> 48
#> 49
#> 50
#> 51
#> 52
#> 53
#> 54
#> 55
#> 56
#> 57
#> 58
#> 59
#> 60
#> 61
#> 62
#> 63
#> 64
#> 65
#> 66
#> 67
#> 68
#> 69
#> 70
#> 71
#> 72
#> 73
#> 74
#> 75
#> 76
#> 77
#> 78
#> 79 0.8888194
#> 80 1.9748418 1.1958261
#> 81 1.8973666 1.0723805 0.4242641
#> 82 1.9949937 1.1789826 0.3464102 0.1414214
#> 83 1.5362291 0.7280110 0.4690416 0.4472136 0.5099020
#> 84 0.7745967 0.6403124 1.7378147 1.5099669 1.6309506 1.2806248
#> 85 1.4071247 0.6082763 1.2247449 1.0099505 1.1224972 0.8366600 0.9055385
#> 86 0.9539392 0.5099020 1.4456832 1.4106736 1.5000000 1.0246951 0.9219544
#> 87 0.3741657 0.7549834 1.7146428 1.7029386 1.7832555 1.3038405 0.9055385
#> 88 1.0816654 0.7071068 1.1618950 1.0246951 1.1090537 0.8185353 0.9110434
#> 89 1.4764823 0.6082763 0.7874008 0.7071068 0.7874008 0.4242641 1.1575837
#> 90 1.6881943 0.8366600 0.6244998 0.3000000 0.4358899 0.3872983 1.2609520
#> 91 1.4866069 0.6633250 0.9433981 0.6403124 0.7549834 0.5916080 0.9539392
#> 92 0.7810250 0.2000000 1.3000000 1.2041595 1.3000000 0.8426150 0.6244998
#> 93 1.4899664 0.6855655 0.5477226 0.4242641 0.5099020 0.1414214 1.1916375
#> 94 2.6000000 1.7464249 0.7874008 0.7211103 0.6480741 1.0954451 2.1817424
#> 95 1.4491377 0.5744563 0.7745967 0.5477226 0.6633250 0.3741657 1.0295630
#> 96 1.3747727 0.5291503 0.8306624 0.7549834 0.8306624 0.4358899 1.0723805
#> 97 1.3453624 0.4690416 0.8185353 0.7000000 0.7937254 0.3872983 1.0148892
#> 98 0.9539392 0.3464102 1.0344080 1.0148892 1.0908712 0.6082763 0.9000000
#> 99 2.6776856 1.8384776 0.7937254 0.9000000 0.8185353 1.1618950 2.3473389
#> 100 1.4177447 0.5477226 0.7000000 0.5744563 0.6708204 0.2645751 1.0908712
#> 101 1.3747727 1.8708287 3.0577770 2.8722813 2.9983329 2.5903668 1.4387495
#> 102 0.9746794 0.7745967 1.8411953 1.5842980 1.7175564 1.3892444 0.3605551
#> 103 1.0630146 1.8814888 3.0149627 2.8861739 2.9949958 2.5670995 1.4798649
#> 104 0.7348469 1.1789826 2.3452079 2.1494185 2.2671568 1.8814888 0.6480741
#> 105 0.9643651 1.5620499 2.7440845 2.5632011 2.6851443 2.2781571 1.0908712
#> 106 1.8788294 2.7092434 3.8196859 3.6891733 3.7934153 3.3808283 2.2693611
#> 107 1.9339080 1.1874342 1.4628739 1.1045361 1.2247449 1.2083046 1.2727922
#> 108 1.4387495 2.2405357 3.3361655 3.1984371 3.3000000 2.9000000 1.7916473
#> 109 0.9486833 1.5588457 2.6343880 2.4372115 2.5495098 2.1954498 1.0295630
#> 110 1.5684387 2.3430749 3.5014283 3.4029399 3.5128336 3.0495901 2.0149442
#> 111 0.4242641 0.9746794 2.1354157 2.0346990 2.1447611 1.6792856 0.8124038
#> 112 0.5567764 1.0000000 2.1330729 1.9467922 2.0663978 1.6763055 0.5385165
#> 113 0.6480741 1.4177447 2.5651511 2.4372115 2.5495098 2.1118712 1.0677078
#> 114 1.1575837 0.8660254 1.8055470 1.5165751 1.6552945 1.3784049 0.5477226
#> 115 1.1618950 1.1045361 2.1377558 1.9052559 2.0420578 1.7000000 0.8306624
#> 116 0.7615773 1.2369317 2.4041631 2.2671568 2.3874673 1.9442222 0.9695360
#> 117 0.5477226 1.1618950 2.3323808 2.1771541 2.2891046 1.8708287 0.7348469
#> 118 2.1863211 3.0049958 4.1376322 4.0521599 4.1521079 3.6959437 2.6495283
#> 119 2.2649503 3.0626786 4.1533119 3.9912404 4.1000000 3.7188708 2.5748786
#> 120 1.0816654 0.8602325 1.6583124 1.3747727 1.4933185 1.2609520 0.5196152
#> 121 0.9643651 1.7262677 2.8861739 2.7658633 2.8792360 2.4310492 1.3820275
#> 122 1.1618950 0.7615773 1.7349352 1.4798649 1.6155494 1.3000000 0.6082763
#> 123 2.0049938 2.8266588 3.9089641 3.7709415 3.8729833 3.4785054 2.3706539
#> 124 0.5196152 0.6164414 1.7233688 1.5588457 1.6763055 1.2688578 0.4123106
#> 125 0.8602325 1.5652476 2.7459060 2.6191602 2.7313001 2.2847319 1.2083046
#> 126 1.1401754 1.9672316 3.0822070 2.9765752 3.0757113 2.6419690 1.5937377
#> 127 0.5830952 0.4795832 1.6186414 1.4628739 1.5811388 1.1575837 0.4242641
#> 128 0.6164414 0.5196152 1.7088007 1.5556349 1.6733201 1.2409674 0.4242641
#> 129 0.8062258 1.3190906 2.4799194 2.2825424 2.4062419 2.0174241 0.8185353
#> 130 0.9486833 1.7748239 2.8390139 2.7386128 2.8319605 2.4124676 1.4212670
#> 131 1.3341664 2.1656408 3.2403703 3.1144823 3.2155870 2.8106939 1.7492856
#> 132 2.0322401 2.8774989 3.9610605 3.9102430 4.0012498 3.5369478 2.5826343
#> 133 0.8602325 1.3674794 2.5258662 2.3280893 2.4535688 2.0639767 0.8831761
#> 134 0.5000000 0.6782330 1.7916473 1.6278821 1.7349352 1.3379088 0.3316625
#> 135 0.9848858 1.1489125 2.1748563 1.9313208 2.0420578 1.7406895 0.5567764
#> 136 1.6031220 2.4698178 3.5510562 3.4539832 3.5566838 3.1224990 2.1142375
#> 137 1.0816654 1.5362291 2.7147744 2.5632011 2.6851443 2.2516660 1.2124356
#> 138 0.6000000 1.1357817 2.3194827 2.1633308 2.2759613 1.8547237 0.7211103
#> 139 0.7348469 0.4358899 1.6062378 1.4491377 1.5684387 1.1401754 0.4690416
#> 140 0.6082763 1.4212670 2.5514702 2.4515301 2.5592968 2.1047565 1.1445523
#> 141 0.9273618 1.5968719 2.7604347 2.6191602 2.7386128 2.3021729 1.2409674
#> 142 0.6480741 1.3601471 2.4372115 2.3622024 2.4698178 2.0049938 1.2083046
#> 143 0.9746794 0.7745967 1.8411953 1.5842980 1.7175564 1.3892444 0.3605551
#> 144 1.1045361 1.8248288 3.0033315 2.8600699 2.9765752 2.5416530 1.4212670
#> 145 1.1045361 1.7578396 2.9291637 2.7964263 2.9154759 2.4698178 1.4212670
#> 146 0.6324555 1.2767145 2.3958297 2.2803509 2.3958297 1.9493589 1.0392305
#> 147 0.6708204 0.8124038 1.8520259 1.6522712 1.7748239 1.4106736 0.4795832
#> 148 0.4123106 1.0000000 2.1656408 2.0322401 2.1470911 1.7058722 0.7141428
#> 149 0.9643651 1.3190906 2.4879711 2.3430749 2.4637370 2.0273135 1.0535654
#> 150 0.8124038 0.6855655 1.8439089 1.6431677 1.7663522 1.3784049 0.3741657
#> 85 86 87 88 89 90 91
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
#> 11
#> 12
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#> 14
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#> 25
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#> 30
#> 31
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#> 33
#> 34
#> 35
#> 36
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#> 40
#> 41
#> 42
#> 43
#> 44
#> 45
#> 46
#> 47
#> 48
#> 49
#> 50
#> 51
#> 52
#> 53
#> 54
#> 55
#> 56
#> 57
#> 58
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#> 60
#> 61
#> 62
#> 63
#> 64
#> 65
#> 66
#> 67
#> 68
#> 69
#> 70
#> 71
#> 72
#> 73
#> 74
#> 75
#> 76
#> 77
#> 78
#> 79
#> 80
#> 81
#> 82
#> 83
#> 84
#> 85
#> 86 0.7280110
#> 87 1.3190906 0.7937254
#> 88 1.1618950 1.1832160 0.9643651
#> 89 0.4898979 0.7549834 1.2727922 1.0344080
#> 90 0.7416198 1.1832160 1.5264338 0.9165151 0.5196152
#> 91 0.5196152 1.0295630 1.3674794 0.8602325 0.5196152 0.4242641
#> 92 0.7141428 0.4690416 0.6244998 0.7615773 0.7141428 0.9899495 0.7745967
#> 93 0.8124038 1.0440307 1.2806248 0.7141428 0.4690416 0.3316625 0.5000000
#> 94 1.5297059 2.0024984 2.3958297 1.7291616 1.2569805 0.9327379 1.2609520
#> 95 0.5099020 0.9110434 1.2884099 0.8306624 0.3162278 0.3000000 0.2645751
#> 96 0.5196152 0.7071068 1.1618950 0.9486833 0.1732051 0.5830952 0.4898979
#> 97 0.4795832 0.7211103 1.1532563 0.8717798 0.1732051 0.4898979 0.4242641
#> 98 0.8544004 0.6480741 0.7000000 0.6164414 0.6403124 0.8602325 0.7745967
#> 99 1.6583124 2.0297783 2.4433583 1.8654758 1.3228757 1.0954451 1.4628739
#> 100 0.5744563 0.8366600 1.2206556 0.8366600 0.2236068 0.3741657 0.4242641
#> 101 2.0371549 1.7776389 1.7000000 2.2360680 2.3727621 2.5922963 2.3194827
#> 102 0.8774964 0.9899495 1.1357817 1.1224972 1.2206556 1.3038405 1.0392305
#> 103 2.2825424 1.8920888 1.4035669 2.0049938 2.4758837 2.6570661 2.4041631
#> 104 1.4560220 1.2609520 1.0488088 1.4317821 1.7320508 1.9000000 1.5905974
#> 105 1.8411953 1.5684387 1.3228757 1.8165902 2.1236761 2.3021729 2.0297783
#> 106 3.1000000 2.7166155 2.1886069 2.7676705 3.3000000 3.4727511 3.1968735
#> 107 0.7348469 1.4247807 1.9183326 1.4730920 1.0295630 0.8774964 0.7937254
#> 108 2.6362853 2.2847319 1.7464249 2.2847319 2.8266588 2.9899833 2.7018512
#> 109 1.9287302 1.7406895 1.2884099 1.5524175 2.1447611 2.2203603 1.9416488
#> 110 2.6758176 2.2022716 1.8601075 2.6134269 2.8913665 3.1543621 2.9103264
#> 111 1.3638182 0.9000000 0.6782330 1.3527749 1.5297059 1.7860571 1.5779734
#> 112 1.3747727 1.1747340 0.8774964 1.1575837 1.5905974 1.7029386 1.4560220
#> 113 1.8220867 1.4317821 1.0099505 1.6093477 2.0099751 2.1977261 1.9672316
#> 114 0.9165151 1.1445523 1.3038405 1.1180340 1.2489996 1.2369317 1.0246951
#> 115 1.1704700 1.1832160 1.3674794 1.4832397 1.5132746 1.6124515 1.4352700
#> 116 1.5231546 1.1532563 1.0488088 1.6217275 1.7663522 1.9974984 1.7860571
#> 117 1.5165751 1.2041595 0.8831761 1.4106736 1.7378147 1.9364917 1.6522712
#> 118 3.3555923 2.8722813 2.4454039 3.2109189 3.5524639 3.8249183 3.5454196
#> 119 3.4423829 3.1272992 2.5942244 3.0495901 3.6619667 3.7762415 3.5071356
#> 120 1.1180340 1.3038405 1.1789826 0.7071068 1.2845233 1.1747340 0.9273618
#> 121 2.0904545 1.6673332 1.3000000 1.9646883 2.3000000 2.5179357 2.2847319
#> 122 0.7000000 0.9165151 1.2609520 1.2165525 1.0816654 1.1832160 0.9695360
#> 123 3.2280025 2.8722813 2.3108440 2.8266588 3.4205263 3.5651087 3.2878564
#> 124 1.0723805 0.8831761 0.6708204 0.8124038 1.2124356 1.3190906 1.1224972
#> 125 1.8920888 1.4798649 1.1832160 1.8681542 2.1213203 2.3685439 2.1047565
#> 126 2.3706539 1.9416488 1.4282857 2.1047565 2.5416530 2.7622455 2.4839485
#> 127 0.9273618 0.7280110 0.6633250 0.8185353 1.0677078 1.2124356 1.0246951
#> 128 0.8602325 0.6082763 0.7071068 1.0148892 1.0677078 1.2922848 1.0630146
#> 129 1.6155494 1.4071247 1.1618950 1.5297059 1.8894444 2.0248457 1.7606817
#> 130 2.2226111 1.8138357 1.2165525 1.8303005 2.3537205 2.5436195 2.2737634
#> 131 2.6000000 2.2293497 1.6431677 2.1702534 2.7640550 2.9103264 2.6514147
#> 132 3.2787193 2.7459060 2.2516660 3.0495901 3.4219877 3.7013511 3.4409301
#> 133 1.6552945 1.4456832 1.2165525 1.5842980 1.9339080 2.0663978 1.8138357
#> 134 1.1000000 0.9055385 0.6403124 0.8831761 1.2529964 1.4071247 1.1224972
#> 135 1.3674794 1.3784049 1.1958261 1.2569805 1.6340135 1.7146428 1.3564660
#> 136 2.9137605 2.4698178 1.9000000 2.5179357 3.0675723 3.2403703 3.0166206
#> 137 1.7291616 1.3928388 1.3674794 1.9646883 2.0273135 2.2847319 2.0396078
#> 138 1.4491377 1.1357817 0.9055385 1.4525839 1.6911535 1.9157244 1.6217275
#> 139 0.7348469 0.5385165 0.7745967 0.9949874 0.9486833 1.1789826 0.9643651
#> 140 1.8520259 1.4000000 0.9433981 1.6248077 2.0074860 2.2181073 2.0049938
#> 141 1.9287302 1.5588457 1.2727922 1.8574176 2.1633308 2.3600847 2.1377558
#> 142 1.8055470 1.3228757 0.9165151 1.5779734 1.9235384 2.1283797 1.9773720
#> 143 0.8774964 0.9899495 1.1357817 1.1224972 1.2206556 1.3038405 1.0392305
#> 144 2.1447611 1.7691806 1.4491377 2.0760539 2.3916521 2.6057628 2.3473389
#> 145 2.0542639 1.6583124 1.4282857 2.0712315 2.3021729 2.5317978 2.3043437
#> 146 1.6792856 1.2767145 0.9486833 1.5132746 1.8493242 2.0322401 1.8574176
#> 147 1.2124356 1.1135529 0.8774964 0.8717798 1.3820275 1.4142136 1.2247449
#> 148 1.3964240 1.0295630 0.7416198 1.2884099 1.5842980 1.7832555 1.5620499
#> 149 1.5000000 1.1575837 1.2124356 1.7944358 1.7916473 2.0639767 1.8275667
#> 150 0.8366600 0.7549834 0.9486833 1.1789826 1.1575837 1.3674794 1.0816654
#> 92 93 94 95 96 97 98
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
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#> 80
#> 81
#> 82
#> 83
#> 84
#> 85
#> 86
#> 87
#> 88
#> 89
#> 90
#> 91
#> 92
#> 93 0.8062258
#> 94 1.8841444 1.1224972
#> 95 0.7141428 0.3162278 1.1916375
#> 96 0.6000000 0.4582576 1.3527749 0.3316625
#> 97 0.5830952 0.3872983 1.3228757 0.2236068 0.1414214
#> 98 0.3464102 0.5916080 1.7000000 0.6403124 0.5291503 0.5099020
#> 99 1.9748418 1.2288206 0.3872983 1.3304135 1.4352700 1.4142136 1.7606817
#> 100 0.6782330 0.2645751 1.2124356 0.1732051 0.2449490 0.1414214 0.5477226
#> 101 1.8165902 2.5357445 3.4971417 2.3515952 2.3194827 2.2803509 2.1213203
#> 102 0.8246211 1.3076697 2.2022716 1.1000000 1.1832160 1.1045361 1.0954451
#> 103 1.7832555 2.5039968 3.5874782 2.4228083 2.3790755 2.3452079 2.0049938
#> 104 1.1000000 1.8055470 2.8248894 1.6552945 1.6401219 1.6031220 1.3964240
#> 105 1.4966630 2.2113344 3.2295511 2.0663978 2.0493902 2.0049938 1.7776389
#> 106 2.5961510 3.3120990 4.3988635 3.2388269 3.1906112 3.1654384 2.8106939
#> 107 1.3379088 1.1489125 1.4071247 0.8831761 1.1090537 1.0246951 1.4317821
#> 108 2.1213203 2.8266588 3.9102430 2.7549955 2.7092434 2.6870058 2.3366643
#> 109 1.4866069 2.1023796 3.1336879 2.0149442 2.0420578 1.9924859 1.7058722
#> 110 2.2427661 3.0099834 4.0767634 2.9017236 2.8124722 2.7910571 2.4839485
#> 111 0.9000000 1.6431677 2.7018512 1.5362291 1.4594520 1.4247807 1.1445523
#> 112 0.9591663 1.5968719 2.6324893 1.4866069 1.5099669 1.4491377 1.2000000
#> 113 1.3379088 2.0542639 3.1272992 1.9646883 1.9261360 1.8841444 1.5652476
#> 114 0.9643651 1.2884099 2.1023796 1.0862780 1.2369317 1.1357817 1.1789826
#> 115 1.1747340 1.6401219 2.4677925 1.4387495 1.5165751 1.4282857 1.4212670
#> 116 1.1958261 1.9026298 2.9086079 1.7606817 1.7175564 1.6703293 1.4594520
#> 117 1.0630146 1.8055470 2.8670542 1.6852300 1.6401219 1.6093477 1.3379088
#> 118 2.8722813 3.6523965 4.7476310 3.5608988 3.4481879 3.4452866 3.1032241
#> 119 2.9698485 3.6373067 4.6936127 3.5651087 3.5580894 3.5185224 3.1780497
#> 120 0.9055385 1.1357817 2.0371549 1.0440307 1.2083046 1.1224972 1.0295630
#> 121 1.6431677 2.3811762 3.4452866 2.2781571 2.2226111 2.1863211 1.8814888
#> 122 0.8602325 1.2369317 2.0420578 0.9949874 1.0862780 1.0000000 1.1045361
#> 123 2.7147744 3.4029399 4.4833024 3.3406586 3.3060551 3.2787193 2.9171904
#> 124 0.6164414 1.1958261 2.2472205 1.1090537 1.1401754 1.0677078 0.8124038
#> 125 1.4662878 2.2360680 3.2954514 2.1118712 2.0371549 2.0124612 1.7349352
#> 126 1.8357560 2.5845696 3.6851052 2.5099801 2.4269322 2.4145393 2.0566964
#> 127 0.5000000 1.0954451 2.1400935 0.9899495 1.0049876 0.9327379 0.7141428
#> 128 0.5000000 1.1916375 2.2135944 1.0392305 1.0049876 0.9539392 0.7937254
#> 129 1.2727922 1.9416488 2.9512709 1.8027756 1.8165902 1.7606817 1.5427249
#> 130 1.6401219 2.3494680 3.4554305 2.3021729 2.2293497 2.2158520 1.8303005
#> 131 2.0566964 2.7386128 3.8288379 2.6870058 2.6514147 2.6210685 2.2472205
#> 132 2.7349589 3.5000000 4.6119410 3.4394767 3.3105891 3.3136083 2.9325757
#> 133 1.3304135 1.9899749 2.9899833 1.8493242 1.8681542 1.8083141 1.5968719
#> 134 0.5830952 1.2609520 2.3302360 1.1618950 1.1401754 1.1045361 0.8366600
#> 135 1.0770330 1.6401219 2.5980762 1.4933185 1.5231546 1.4899664 1.3416408
#> 136 2.3706539 3.0643107 4.1605288 3.0182777 2.9698485 2.9359837 2.5495098
#> 137 1.4832397 2.2113344 3.1859065 2.0371549 1.9798990 1.9442222 1.7776389
#> 138 1.0344080 1.7944358 2.8425341 1.6552945 1.5968719 1.5716234 1.3304135
#> 139 0.4582576 1.0954451 2.0928450 0.9273618 0.9000000 0.8426150 0.7416198
#> 140 1.3341664 2.0566964 3.1416556 1.9824228 1.9235384 1.8867962 1.5427249
#> 141 1.5394804 2.2494444 3.2832910 2.1307276 2.1000000 2.0518285 1.7860571
#> 142 1.3076697 1.9697716 3.0298515 1.9131126 1.8627936 1.8138357 1.4730920
#> 143 0.8246211 1.3076697 2.2022716 1.1000000 1.1832160 1.1045361 1.0954451
#> 144 1.7406895 2.4859606 3.5355339 2.3622024 2.3130067 2.2781571 2.0024984
#> 145 1.6941074 2.4248711 3.4496377 2.2934690 2.2427661 2.2022716 1.9519221
#> 146 1.2369317 1.9026298 2.9461840 1.8165902 1.7916473 1.7349352 1.4387495
#> 147 0.8366600 1.3228757 2.3302360 1.2369317 1.3190906 1.2328828 1.0099505
#> 148 0.9380832 1.6522712 2.7110883 1.5459625 1.5099669 1.4628739 1.1832160
#> 149 1.2727922 1.9924859 2.9580399 1.8138357 1.7492856 1.7146428 1.5684387
#> 150 0.6708204 1.3190906 2.2759613 1.1135529 1.1000000 1.0535654 0.9949874
#> 99 100 101 102 103 104 105
#> 2
#> 3
#> 4
#> 5
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#> 7
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#> 93
#> 94
#> 95
#> 96
#> 97
#> 98
#> 99
#> 100 1.3038405
#> 101 3.6110940 2.3790755
#> 102 2.3622024 1.1747340 1.3341664
#> 103 3.6959437 2.4248711 0.9486833 1.5684387
#> 104 2.9748950 1.6941074 0.9000000 0.7416198 0.9110434
#> 105 3.3555923 2.0928450 0.5099020 1.0770330 0.6164414 0.5000000
#> 106 4.5232732 3.2465366 1.5165751 2.3706539 0.8602325 1.6703293 1.3638182
#> 107 1.6278821 1.0246951 2.3430749 1.1180340 2.6851443 1.8275667 2.1794495
#> 108 4.0472213 2.7676705 1.3190906 1.9339080 0.5477226 1.2206556 1.0295630
#> 109 3.3000000 2.0566964 1.1532563 1.1618950 0.7141428 0.6000000 0.6708204
#> 110 4.1460825 2.8861739 0.9539392 2.0322401 0.7549834 1.4282857 1.0148892
#> 111 2.7694765 1.5132746 1.0535654 0.8660254 1.0246951 0.6480741 0.7549834
#> 112 2.7676705 1.5165751 1.1045361 0.6324555 0.9899495 0.3872983 0.6633250
#> 113 3.2233523 1.9621417 0.8660254 1.1357817 0.5000000 0.6000000 0.4358899
#> 114 2.2737634 1.1789826 1.5000000 0.2645751 1.7406895 0.9591663 1.2529964
#> 115 2.5845696 1.4899664 1.1489125 0.5099020 1.5684387 0.9327379 1.0295630
#> 116 2.9849623 1.7578396 0.7416198 0.9000000 0.9643651 0.6633250 0.5567764
#> 117 2.9916551 1.7000000 0.9327379 0.8660254 0.7810250 0.2449490 0.5000000
#> 118 4.8321838 3.5454196 1.6703293 2.7331301 1.2845233 2.0346990 1.7000000
#> 119 4.8394215 3.5888717 1.8165902 2.6495283 1.2489996 1.9974984 1.6792856
#> 120 2.2494444 1.1401754 1.8165902 0.6782330 1.7378147 1.0148892 1.4212670
#> 121 3.5298725 2.2715633 0.7071068 1.4071247 0.4000000 0.8426150 0.4690416
#> 122 2.1817424 1.0677078 1.4832397 0.3162278 1.8165902 1.0148892 1.3038405
#> 123 4.6206060 3.3541020 1.7175564 2.4879711 1.0246951 1.7944358 1.5264338
#> 124 2.3622024 1.1224972 1.4352700 0.5477226 1.3490738 0.7280110 1.0488088
#> 125 3.3896903 2.1095023 0.6403124 1.2529964 0.5385165 0.6480741 0.3872983
#> 126 3.7934153 2.5039968 1.1445523 1.7406895 0.3872983 1.0295630 0.8544004
#> 127 2.2427661 0.9949874 1.4798649 0.5196152 1.4662878 0.8124038 1.1357817
#> 128 2.3130067 1.0440307 1.3527749 0.4795832 1.4456832 0.7348469 1.0630146
#> 129 3.0886890 1.8384776 0.7615773 0.8124038 0.7874008 0.3316625 0.3162278
#> 130 3.5707142 2.2956481 1.3228757 1.6217275 0.5196152 0.9486833 0.9219544
#> 131 3.9534795 2.6925824 1.3527749 1.8894444 0.4582576 1.2165525 1.0148892
#> 132 4.6797436 3.4088121 1.7944358 2.7055499 1.2409674 2.0124612 1.7320508
#> 133 3.1224990 1.8841444 0.7141428 0.8426150 0.7937254 0.4242641 0.3000000
#> 134 2.4698178 1.1832160 1.4352700 0.6480741 1.2961481 0.5916080 1.0295630
#> 135 2.8035692 1.5684387 1.3784049 0.7745967 1.3190906 0.5385165 1.0000000
#> 136 4.2497059 3.0066593 1.4491377 2.2045408 0.6633250 1.5716234 1.2409674
#> 137 3.2710854 2.0445048 0.4242641 1.1135529 0.9899495 0.7810250 0.5291503
#> 138 2.9647934 1.6703293 0.8888194 0.8306624 0.8660254 0.2449490 0.5196152
#> 139 2.1886069 0.9327379 1.4525839 0.4795832 1.5842980 0.8602325 1.1874342
#> 140 3.2186954 1.9646883 0.9591663 1.2247449 0.5477226 0.7280110 0.5830952
#> 141 3.3719431 2.1330729 0.6082763 1.2124356 0.5916080 0.7483315 0.3605551
#> 142 3.0740852 1.8788294 1.1180340 1.2369317 0.8544004 0.9486833 0.8185353
#> 143 2.3622024 1.1747340 1.3341664 0.0000000 1.5684387 0.7416198 1.0770330
#> 144 3.6373067 2.3685439 0.5567764 1.4317821 0.4123106 0.8246211 0.3872983
#> 145 3.5284558 2.2912878 0.5000000 1.3747727 0.6708204 0.9055385 0.4795832
#> 146 3.0149627 1.8027756 0.9643651 1.0344080 0.8306624 0.7615773 0.6403124
#> 147 2.4657656 1.2727922 1.4142136 0.5477226 1.3190906 0.7280110 1.0099505
#> 148 2.8035692 1.5427249 1.0099505 0.7745967 0.9273618 0.5000000 0.6324555
#> 149 3.0364453 1.8165902 0.6480741 0.9486833 1.1224972 0.7416198 0.6480741
#> 150 2.4062419 1.1532563 1.2449900 0.3316625 1.4730920 0.6480741 1.0049876
#> 106 107 108 109 110 111 112
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
#> 11
#> 12
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#> 35
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#> 40
#> 41
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#> 44
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#> 49
#> 50
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#> 94
#> 95
#> 96
#> 97
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#> 99
#> 100
#> 101
#> 102
#> 103
#> 104
#> 105
#> 106
#> 107 3.4799425
#> 108 0.5291503 3.0282008
#> 109 1.3379088 2.2226111 0.8774964
#> 110 0.9643651 3.1144823 1.0148892 1.4282857
#> 111 1.8734994 1.8708287 1.4866069 1.0295630 1.3784049
#> 112 1.8055470 1.7233688 1.3638182 0.6244998 1.5652476 0.5567764
#> 113 1.3601471 2.2405357 0.9949874 0.6633250 1.0198039 0.5477226 0.5744563
#> 114 2.5357445 0.9899495 2.1095023 1.2961481 2.2181073 1.0677078 0.7937254
#> 115 2.3706539 1.3228757 2.0149442 1.3228757 1.9000000 0.9000000 0.8124038
#> 116 1.7916473 1.9339080 1.4662878 1.0392305 1.2165525 0.3741657 0.6403124
#> 117 1.5842980 1.9544820 1.1357817 0.6164414 1.3038405 0.4898979 0.3872983
#> 118 0.8185353 3.8236109 1.1357817 1.9131126 0.8602325 2.0976177 2.2248595
#> 119 0.5477226 3.7376463 0.9273618 1.5716234 1.3892444 2.2649503 2.1023796
#> 120 2.4738634 1.2609520 1.9899749 1.1445523 2.3685439 1.2288206 0.8124038
#> 121 1.1747340 2.5079872 0.9273618 0.8888194 0.6708204 0.7810250 0.9055385
#> 122 2.6343880 0.9110434 2.2135944 1.4662878 2.2113344 1.0049876 0.9055385
#> 123 0.2645751 3.5860842 0.6082763 1.3928388 1.2247449 2.0396078 1.9157244
#> 124 2.1817424 1.4730920 1.7320508 1.0049876 1.8841444 0.6082763 0.4242641
#> 125 1.3076697 2.3409400 0.9848858 0.8602325 0.8124038 0.6480741 0.8062258
#> 126 0.8062258 2.8354894 0.4358899 0.8831761 0.8124038 1.1575837 1.1789826
#> 127 2.3086793 1.3711309 1.8627936 1.1575837 1.9544820 0.6164414 0.5567764
#> 128 2.2869193 1.3638182 1.8466185 1.1916375 1.8708287 0.5291503 0.5916080
#> 129 1.5748016 1.9261360 1.1832160 0.5567764 1.3000000 0.6557439 0.3741657
#> 130 1.0246951 2.6907248 0.5567764 0.7348469 1.1224972 1.0862780 1.0344080
#> 131 0.6082763 2.9899833 0.2645751 0.8246211 1.0198039 1.4071247 1.2845233
#> 132 0.8831761 3.7934153 1.1045361 1.8788294 0.9327379 2.0024984 2.1633308
#> 133 1.5779734 1.9493589 1.2124356 0.6164414 1.2727922 0.6782330 0.4358899
#> 134 2.0832667 1.5652476 1.5937377 0.9110434 1.8574176 0.6708204 0.4690416
#> 135 1.9748418 1.6583124 1.4764823 0.7549834 1.9157244 1.0630146 0.6633250
#> 136 0.5477226 3.3181320 0.6782330 1.2609520 0.8062258 1.6031220 1.6062378
#> 137 1.7146428 2.1142375 1.4491377 1.1704700 1.0535654 0.7000000 0.9165151
#> 138 1.6583124 1.9026298 1.2206556 0.7348469 1.3190906 0.4690416 0.4582576
#> 139 2.4269322 1.2489996 1.9874607 1.3190906 1.9949937 0.6480741 0.7141428
#> 140 1.3928388 2.3086793 1.0488088 0.8062258 0.9949874 0.5196152 0.6782330
#> 141 1.3820275 2.3021729 1.1180340 0.8717798 0.8717798 0.6782330 0.7681146
#> 142 1.6703293 2.2538855 1.3747727 1.0677078 1.1747340 0.5099020 0.7810250
#> 143 2.3706539 1.1180340 1.9339080 1.1618950 2.0322401 0.8660254 0.6324555
#> 144 1.1000000 2.5337719 0.8660254 0.8717798 0.6324555 0.9055385 0.9643651
#> 145 1.3674794 2.4413111 1.1704700 1.0677078 0.7071068 0.8124038 0.9848858
#> 146 1.6763055 2.0832667 1.3527749 0.9273618 1.2083046 0.4242641 0.5916080
#> 147 2.1307276 1.5000000 1.6911535 0.9000000 1.8947295 0.7416198 0.3741657
#> 148 1.7832555 1.8411953 1.3784049 0.8306624 1.3820275 0.2236068 0.3464102
#> 149 1.8973666 1.9157244 1.5874508 1.2124356 1.2529964 0.5567764 0.8366600
#> 150 2.2869193 1.2727922 1.8466185 1.1747340 1.8814888 0.6633250 0.6244998
#> 113 114 115 116 117 118 119
#> 2
#> 3
#> 4
#> 5
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#> 101
#> 102
#> 103
#> 104
#> 105
#> 106
#> 107
#> 108
#> 109
#> 110
#> 111
#> 112
#> 113
#> 114 1.3114877
#> 115 1.1357817 0.5196152
#> 116 0.5291503 1.0770330 0.7549834
#> 117 0.4242641 1.0862780 1.0246951 0.5830952
#> 118 1.7029386 2.9359837 2.6851443 2.0049938 1.9183326
#> 119 1.7233688 2.7766887 2.6267851 2.1470911 1.9519221 1.2206556
#> 120 1.3747727 0.6557439 1.1045361 1.3747727 1.1090537 2.9715316 2.7018512
#> 121 0.3605551 1.5842980 1.3190906 0.6403124 0.7000000 1.4177447 1.5620499
#> 122 1.3601471 0.3316625 0.4898979 1.0246951 1.1180340 2.9478806 2.9223278
#> 123 1.5165751 2.6419690 2.5159491 1.9748418 1.7204651 1.0198039 0.4123106
#> 124 0.8888194 0.6708204 0.8124038 0.8185353 0.7000000 2.5632011 2.4939928
#> 125 0.3741657 1.4628739 1.2288206 0.5477226 0.5099020 1.5033296 1.7233688
#> 126 0.7348469 1.9442222 1.8138357 1.1747340 0.8831761 1.1224972 1.2922848
#> 127 0.9899495 0.6480741 0.7810250 0.8366600 0.7874008 2.6495283 2.6362853
#> 128 0.9695360 0.6782330 0.7280110 0.7348469 0.7211103 2.5690465 2.6400758
#> 129 0.4582576 0.9746794 0.8366600 0.5385165 0.3872983 1.9773720 1.8601075
#> 130 0.7071068 1.8165902 1.7691806 1.1916375 0.7874008 1.4352700 1.4525839
#> 131 0.8944272 2.0493902 1.9519221 1.4000000 1.1045361 1.2409674 0.9643651
#> 132 1.6340135 2.9137605 2.6944387 1.9773720 1.8574176 0.4123106 1.3490738
#> 133 0.4690416 0.9899495 0.8062258 0.5099020 0.4690416 1.9748418 1.8520259
#> 134 0.9000000 0.8426150 1.0295630 0.9219544 0.5744563 2.4515301 2.4248711
#> 135 1.0723805 0.9433981 1.1747340 1.1618950 0.7000000 2.4186773 2.2494444
#> 136 1.1000000 2.3558438 2.1587033 1.5394804 1.4317821 1.0049876 0.8944272
#> 137 0.7141428 1.3000000 0.9273618 0.3872983 0.7549834 1.8357560 2.0736441
#> 138 0.5099020 1.0677078 0.9848858 0.5477226 0.1414214 1.9442222 2.0371549
#> 139 1.1045361 0.6480741 0.7280110 0.8366600 0.8602325 2.7018512 2.7766887
#> 140 0.1732051 1.4035669 1.2165525 0.5567764 0.5196152 1.6822604 1.7832555
#> 141 0.3464102 1.3711309 1.0723805 0.4472136 0.6480741 1.6552945 1.7175564
#> 142 0.4690416 1.3784049 1.1445523 0.5477226 0.7615773 1.9235384 2.0322401
#> 143 1.1357817 0.2645751 0.5099020 0.9000000 0.8660254 2.7331301 2.6495283
#> 144 0.4898979 1.6124515 1.3453624 0.7211103 0.7348469 1.3490738 1.4730920
#> 145 0.5477226 1.5427249 1.1958261 0.5477226 0.8124038 1.5297059 1.7233688
#> 146 0.3741657 1.1747340 0.9327379 0.3741657 0.6164414 1.9748418 2.0124612
#> 147 0.8888194 0.6082763 0.7745967 0.8660254 0.7416198 2.5748786 2.3958297
#> 148 0.4358899 0.9643651 0.8366600 0.3872983 0.3605551 2.0904545 2.1400935
#> 149 0.7549834 1.1445523 0.7874008 0.3000000 0.7141428 2.0273135 2.2671568
#> 150 1.0295630 0.5830952 0.6403124 0.7615773 0.7211103 2.5690465 2.6248809
#> 120 121 122 123 124 125 126
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
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#> 12
#> 13
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#> 99
#> 100
#> 101
#> 102
#> 103
#> 104
#> 105
#> 106
#> 107
#> 108
#> 109
#> 110
#> 111
#> 112
#> 113
#> 114
#> 115
#> 116
#> 117
#> 118
#> 119
#> 120
#> 121 1.7146428
#> 122 0.8831761 1.6062378
#> 123 2.5278449 1.3747727 2.7658633
#> 124 0.6633250 1.2247449 0.7348469 2.2912878
#> 125 1.5968719 0.3000000 1.4525839 1.5033296 1.1180340
#> 126 1.8788294 0.6557439 1.9924859 0.9695360 1.5066519 0.6633250
#> 127 0.7280110 1.3076697 0.6403124 2.4289916 0.1732051 1.1832160 1.6124515
#> 128 0.8660254 1.2529964 0.5744563 2.4248711 0.3605551 1.0862780 1.5684387
#> 129 1.1135529 0.6782330 1.0677078 1.7058722 0.7745967 0.5916080 1.0246951
#> 130 1.6522712 0.7937254 1.8894444 1.1224972 1.3228757 0.7745967 0.3464102
#> 131 1.9209373 0.8544004 2.1656408 0.6782330 1.6340135 0.9695360 0.4690416
#> 132 2.8948230 1.3928388 2.9223278 1.0630146 2.4617067 1.4798649 1.0246951
#> 133 1.1704700 0.6557439 1.0816654 1.7146428 0.8185353 0.6000000 1.0583005
#> 134 0.6782330 1.2328828 0.8831761 2.1840330 0.3741657 1.0630146 1.3674794
#> 135 0.7348469 1.3490738 1.0677078 2.0420578 0.8366600 1.1618950 1.3747727
#> 136 2.3194827 0.9165151 2.4454039 0.7000000 1.9339080 1.1357817 0.7416198
#> 137 1.6431677 0.6480741 1.2247449 1.9209373 1.1575837 0.5196152 1.1704700
#> 138 1.1445523 0.7416198 1.0630146 1.8055470 0.7280110 0.5099020 0.9486833
#> 139 0.8774964 1.3820275 0.5000000 2.5651511 0.4358899 1.2165525 1.7088007
#> 140 1.4628739 0.3741657 1.4282857 1.5588457 0.9273618 0.4123106 0.7416198
#> 141 1.5716234 0.2645751 1.3964240 1.5684387 1.0816654 0.3741657 0.8831761
#> 142 1.5066519 0.6082763 1.3820275 1.8384776 0.9000000 0.6928203 1.0770330
#> 143 0.6782330 1.4071247 0.3162278 2.4879711 0.5477226 1.2529964 1.7406895
#> 144 1.7578396 0.2236068 1.6401219 1.3038405 1.3228757 0.3162278 0.6480741
#> 145 1.7860571 0.3000000 1.5329710 1.5811388 1.2845233 0.4000000 0.9165151
#> 146 1.3453624 0.5744563 1.1958261 1.8384776 0.7681146 0.6164414 1.0862780
#> 147 0.5830952 1.2247449 0.7745967 2.2248595 0.2449490 1.1532563 1.5198684
#> 148 1.0862780 0.7348469 0.9695360 1.9313208 0.5099020 0.6244998 1.1000000
#> 149 1.5099669 0.7874008 1.0295630 2.0952327 1.0000000 0.6244998 1.2845233
#> 150 0.8660254 1.2845233 0.4582576 2.4248711 0.5385165 1.0862780 1.5937377
#> 127 128 129 130 131 132 133
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
#> 9
#> 10
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#> 105
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#> 110
#> 111
#> 112
#> 113
#> 114
#> 115
#> 116
#> 117
#> 118
#> 119
#> 120
#> 121
#> 122
#> 123
#> 124
#> 125
#> 126
#> 127
#> 128 0.2449490
#> 129 0.8774964 0.8426150
#> 130 1.4422205 1.4352700 0.9848858
#> 131 1.7720045 1.7832555 1.1357817 0.5099020
#> 132 2.5475478 2.4839485 1.9748418 1.2845233 1.1618950
#> 133 0.9165151 0.8831761 0.1000000 1.0392305 1.1575837 1.9824228
#> 134 0.4358899 0.4582576 0.7874008 1.1618950 1.5394804 2.3452079 0.8660254
#> 135 0.9219544 0.9000000 0.7874008 1.2041595 1.4933185 2.3832751 0.8774964
#> 136 2.0566964 2.0615528 1.4212670 0.9110434 0.5385165 0.9273618 1.4106736
#> 137 1.1704700 1.0246951 0.6782330 1.2845233 1.4387495 1.8761663 0.6403124
#> 138 0.7874008 0.6782330 0.4358899 0.8831761 1.2083046 1.8947295 0.5099020
#> 139 0.2828427 0.1414214 0.9643651 1.5748016 1.9235384 2.6172505 1.0000000
#> 140 1.0148892 0.9949874 0.6164414 0.7141428 0.9327379 1.5811388 0.6244998
#> 141 1.1575837 1.1045361 0.5196152 0.9695360 1.0392305 1.6522712 0.4690416
#> 142 0.9591663 0.9695360 0.7937254 1.0392305 1.2247449 1.8083141 0.7745967
#> 143 0.5196152 0.4795832 0.8124038 1.6217275 1.8894444 2.7055499 0.8426150
#> 144 1.4071247 1.3341664 0.6708204 0.8366600 0.8485281 1.3820275 0.6480741
#> 145 1.3416408 1.2569805 0.7141428 1.0770330 1.1224972 1.5588457 0.6633250
#> 146 0.8366600 0.8366600 0.5744563 1.0488088 1.2247449 1.9000000 0.5477226
#> 147 0.3872983 0.5567764 0.7071068 1.3379088 1.5842980 2.4939928 0.7416198
#> 148 0.5744563 0.5385165 0.4690416 1.0049876 1.2922848 2.0099751 0.5000000
#> 149 0.9848858 0.8185353 0.6928203 1.3453624 1.5652476 2.0346990 0.6708204
#> 150 0.4690416 0.2828427 0.7937254 1.4899664 1.8165902 2.5238859 0.8366600
#> 134 135 136 137 138 139 140
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
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#> 10
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#> 100
#> 101
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#> 109
#> 110
#> 111
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#> 113
#> 114
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#> 116
#> 117
#> 118
#> 119
#> 120
#> 121
#> 122
#> 123
#> 124
#> 125
#> 126
#> 127
#> 128
#> 129
#> 130
#> 131
#> 132
#> 133
#> 134
#> 135 0.5830952
#> 136 1.9078784 1.9442222
#> 137 1.1916375 1.2961481 1.5427249
#> 138 0.5916080 0.7141428 1.5198684 0.6855655
#> 139 0.5567764 0.9848858 2.1977261 1.1180340 0.8124038
#> 140 0.9486833 1.1916375 1.0862780 0.7615773 0.5916080 1.1269428
#> 141 1.1445523 1.2688578 1.1269428 0.5000000 0.6782330 1.2247449 0.4123106
#> 142 1.0440307 1.3964240 1.2845233 0.8426150 0.8124038 1.0770330 0.3605551
#> 143 0.6480741 0.7745967 2.2045408 1.1135529 0.8306624 0.4795832 1.2247449
#> 144 1.3000000 1.3228757 0.9433981 0.6244998 0.7615773 1.4628739 0.5567764
#> 145 1.3304135 1.4387495 1.1357817 0.4358899 0.8124038 1.3711309 0.5744563
#> 146 0.9219544 1.2206556 1.3453624 0.7000000 0.6633250 0.9486833 0.3605551
#> 147 0.5099020 0.8124038 1.8920888 1.1916375 0.7937254 0.6244998 0.9591663
#> 148 0.5830952 0.9165151 1.5297059 0.7211103 0.3872983 0.6708204 0.4690416
#> 149 1.0488088 1.2247449 1.7029386 0.2449490 0.6244998 0.9000000 0.7874008
#> 150 0.5385165 0.7810250 2.1189620 0.9643651 0.6480741 0.3162278 1.0908712
#> 141 142 143 144 145 146 147
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
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#> 130
#> 131
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#> 133
#> 134
#> 135
#> 136
#> 137
#> 138
#> 139
#> 140
#> 141
#> 142 0.5477226
#> 143 1.2124356 1.2369317
#> 144 0.3464102 0.8124038 1.4317821
#> 145 0.2449490 0.6928203 1.3747727 0.3162278
#> 146 0.4242641 0.2449490 1.0344080 0.7348469 0.6164414
#> 147 1.0630146 0.9433981 0.5477226 1.3076697 1.2845233 0.7810250
#> 148 0.6082763 0.5196152 0.7745967 0.8426150 0.7937254 0.3605551 0.5830952
#> 149 0.6244998 0.8185353 0.9486833 0.8062258 0.6244998 0.6708204 1.0677078
#> 150 1.1224972 1.1224972 0.3316625 1.3190906 1.2569805 0.9486833 0.6557439
#> 148 149
#> 2
#> 3
#> 4
#> 5
#> 6
#> 7
#> 8
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#> 95
#> 96
#> 97
#> 98
#> 99
#> 100
#> 101
#> 102
#> 103
#> 104
#> 105
#> 106
#> 107
#> 108
#> 109
#> 110
#> 111
#> 112
#> 113
#> 114
#> 115
#> 116
#> 117
#> 118
#> 119
#> 120
#> 121
#> 122
#> 123
#> 124
#> 125
#> 126
#> 127
#> 128
#> 129
#> 130
#> 131
#> 132
#> 133
#> 134
#> 135
#> 136
#> 137
#> 138
#> 139
#> 140
#> 141
#> 142
#> 143
#> 144
#> 145
#> 146
#> 147
#> 148
#> 149 0.6164414
#> 150 0.6403124 0.7681146
# Mahalanobis: petal length and width are strongly correlated in iris, so
# their shared variation counts once.
m <- shoal_dist(as.matrix(iris[, 1:4]), metric = "mahalanobis")