GUniFrac: Generalized UniFrac distances for comparing microbial...

In MiSPU: Microbiome Based Sum of Powered Score (MiSPU) Tests

Description

A generalized version of commonly used UniFrac distances. It is defined as:

d^{(α)} = [∑_{i=1}^m b_i (p^A_{i} + p^B_{i})^α |p^A_{i} - p^B_{i}|/(p^A_{i} + p^B_{i})]/ [ ∑_{i=1}^m b_i (p^A_{i} + p^B_{i})^α],

where m is the number of branches, b_i is the length of ith branch, p^A_{i}, p^B_{i} are the branch proportion for community A and B.

Generalized UniFrac distance contains an extra parameter α controlling the weight on abundant lineages so the distance is not dominated by highly abundant lineages. α=0.5 has overall the best power.

Usage

GUniFrac(otu.tab, tree,alpha = c(0,0.5,1))

Arguments

otu.tab	OTU count table, row - n sample, column - q OTU
tree	Rooted phylogenetic tree of R class “phylo”
alpha	Parameter controlling weight on abundant lineages

Value

Return a list containing

d0	UniFrac(0)
d5	UniFrac(0.5)
d1	UniFrac(1), weighted UniFrac

or a list containing

GUniFrac	The distance matrix for different alpha
alpha	The weight

Note

The time consuming part is written in C and faster than the original one. The function only accepts rooted tree.

Author(s)

Chong Wu <[e-mail]>

References

Chen, Jun, et al (2012). "Associating microbiome composition with environmental covariates using generalized UniFrac distances." Bioinformatics 28(16):2106-2113.

Examples

data(throat.otu.tab)
data(throat.tree)
data(throat.meta)

groups <- throat.meta$SmokingStatus

# Calculate the UniFracs
unifracs <- GUniFrac(throat.otu.tab, throat.tree)
unifracs

Example output

Loading required package: vegan
Loading required package: permute
Loading required package: lattice
This is vegan 2.5-2
Loading required package: ape
Loading required package: aSPU
Loading required package: gee
Loading required package: MASS
Loading required package: mvtnorm
Loading required package: fields
Loading required package: spam
Loading required package: dotCall64
Loading required package: grid
Spam version 2.2-0 (2018-06-19) is loaded.
Type 'help( Spam)' or 'demo( spam)' for a short introduction 
and overview of this package.
Help for individual functions is also obtained by adding the
suffix '.spam' to the function name, e.g. 'help( chol.spam)'.

Attaching package: 'spam'

The following objects are masked from 'package:base':

    backsolve, forwardsolve

Loading required package: maps
See www.image.ucar.edu/~nychka/Fields for
 a vignette and other supplements. 
Loading required package: matrixStats
Loading required package: cluster

Attaching package: 'cluster'

The following object is masked from 'package:maps':

    votes.repub

$d0
           [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
 [1,] 0.0000000 0.8709453 0.8266061 0.8277429 0.8734761 0.8151938 0.8227872
 [2,] 0.8709453 0.0000000 0.7784067 0.7882528 0.7702984 0.7966651 0.8652106
 [3,] 0.8266061 0.7784067 0.0000000 0.7163331 0.7294751 0.7286243 0.7728203
 [4,] 0.8277429 0.7882528 0.7163331 0.0000000 0.6844593 0.7177270 0.7391091
 [5,] 0.8734761 0.7702984 0.7294751 0.6844593 0.0000000 0.7958099 0.8237709
 [6,] 0.8151938 0.7966651 0.7286243 0.7177270 0.7958099 0.0000000 0.6624173
 [7,] 0.8227872 0.8652106 0.7728203 0.7391091 0.8237709 0.6624173 0.0000000
 [8,] 0.8029354 0.8093993 0.7984083 0.7476173 0.8155159 0.5992311 0.7301205
 [9,] 0.8316786 0.8419093 0.8158377 0.7785962 0.8159950 0.6472190 0.7616413
[10,] 0.7923084 0.8325137 0.7677941 0.7944363 0.8130337 0.6452791 0.7408651
[11,] 0.8062768 0.7957992 0.7581907 0.7409839 0.7535053 0.6758470 0.7599553
[12,] 0.8552661 0.8420927 0.7919091 0.7943583 0.8556603 0.7160459 0.6882959
[13,] 0.8121977 0.8649926 0.8577943 0.8255756 0.8559605 0.7517226 0.8045438
[14,] 0.7844440 0.8843327 0.8571712 0.8550225 0.8792557 0.7831627 0.8077218
[15,] 0.8139030 0.8524537 0.8411429 0.7742898 0.8327762 0.6998638 0.7990245
[16,] 0.8257171 0.8501672 0.7967578 0.7786387 0.8514047 0.6749319 0.7218844
[17,] 0.7765530 0.8697637 0.8274880 0.7978512 0.8551665 0.7955048 0.8041147
[18,] 0.7923510 0.8720554 0.8140568 0.8190976 0.8563109 0.7551373 0.7694043
[19,] 0.7828275 0.8060515 0.7187278 0.7541679 0.8154240 0.6897697 0.6704854
[20,] 0.8142405 0.8386759 0.7854456 0.7584455 0.8204234 0.6830049 0.7198746
[21,] 0.8535553 0.8736897 0.8914490 0.8640643 0.8738634 0.7453172 0.7928932
[22,] 0.8075560 0.8684877 0.8323699 0.8522635 0.8490856 0.8156343 0.8367600
[23,] 0.8206820 0.8677144 0.8604413 0.8731082 0.8683560 0.7875798 0.7905490
[24,] 0.8484974 0.8472721 0.8551726 0.8340176 0.8414455 0.7488370 0.8176656
[25,] 0.7537030 0.8404770 0.8798001 0.8633025 0.8449148 0.8588917 0.8754178
[26,] 0.7491501 0.8971295 0.8762852 0.9070567 0.9078640 0.8773021 0.8781935
[27,] 0.8141226 0.8616640 0.8148480 0.7768760 0.8231435 0.7329927 0.7596853
[28,] 0.9165720 0.8695534 0.8865144 0.8761251 0.8838777 0.8492918 0.9182165
[29,] 0.8387417 0.7858903 0.7333377 0.6851483 0.7547782 0.6479323 0.7240113
[30,] 0.8305504 0.8274594 0.7995602 0.7597890 0.8155926 0.6574852 0.7765326
[31,] 0.8217177 0.8476536 0.7793506 0.7661718 0.8043328 0.6631460 0.7605445
[32,] 0.7901833 0.7727839 0.7159555 0.7282477 0.7380545 0.6802968 0.7426930
[33,] 0.8200902 0.8284650 0.7004022 0.6993112 0.7334433 0.7739007 0.7497001
[34,] 0.8120784 0.8387574 0.7820560 0.7578316 0.7953306 0.7395280 0.7911676
[35,] 0.8248173 0.8680078 0.8150897 0.8080028 0.8470789 0.7244700 0.7121165
[36,] 0.8268174 0.8227856 0.8057997 0.7831359 0.8049495 0.6456329 0.7294194
[37,] 0.7656933 0.8866876 0.8605371 0.8807902 0.9040616 0.8412837 0.8381524
[38,] 0.8252273 0.8429878 0.7322899 0.7641004 0.8000455 0.7131070 0.6856591
[39,] 0.8111728 0.8693971 0.8409703 0.8309154 0.8609364 0.7135544 0.7450460
[40,] 0.9004321 0.9277134 0.9240663 0.9139889 0.9227724 0.9125436 0.9216082
[41,] 0.8528662 0.8897368 0.9061000 0.8618482 0.8791225 0.8078508 0.8628124
[42,] 0.7774733 0.8698011 0.8121738 0.8076822 0.8617718 0.7202444 0.7698052
[43,] 0.8250278 0.8607240 0.8229587 0.8138366 0.8693067 0.7193965 0.7462413
[44,] 0.8533577 0.8078038 0.7522095 0.7397751 0.7748474 0.7688131 0.7838866
[45,] 0.8014467 0.8436303 0.8179426 0.7962073 0.7792594 0.7344429 0.8034953
[46,] 0.7853590 0.8411894 0.7863391 0.7820312 0.8105735 0.7003829 0.7149940
[47,] 0.8052901 0.7737416 0.7658027 0.7513582 0.7681251 0.6920416 0.7064481
[48,] 0.8233589 0.7471934 0.7103619 0.6933640 0.7094898 0.7162808 0.7501835
[49,] 0.8177088 0.8441543 0.7937220 0.8299126 0.8583230 0.7199054 0.7436857
[50,] 0.8298702 0.7733573 0.7945110 0.7514289 0.7707386 0.7694207 0.7651781
[51,] 0.8659947 0.8000066 0.7780437 0.7860510 0.7371816 0.8232321 0.8435479
[52,] 0.8186029 0.8211780 0.7450298 0.7658532 0.8246486 0.7163636 0.7132843
[53,] 0.8686555 0.9227806 0.8736019 0.9029934 0.8977557 0.7811944 0.8103092
[54,] 0.9015894 0.8958359 0.9020807 0.8977549 0.8920329 0.9101860 0.9213052
[55,] 0.8472425 0.8241601 0.7847984 0.7686342 0.7497379 0.7874309 0.8143743
[56,] 0.8171471 0.8425765 0.8163735 0.7610570 0.8062043 0.7148712 0.7461003
[57,] 0.8281458 0.7448237 0.7127995 0.6380048 0.7633011 0.6689888 0.7281498
[58,] 0.8381973 0.8434176 0.7408688 0.7266054 0.8080463 0.6820363 0.6866068
[59,] 0.8125483 0.8475553 0.7759107 0.7153898 0.7976447 0.7201935 0.7417100
[60,] 0.8486647 0.7709760 0.8266101 0.8235415 0.7973313 0.8418440 0.8807224
           [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
 [1,] 0.8029354 0.8316786 0.7923084 0.8062768 0.8552661 0.8121977 0.7844440
 [2,] 0.8093993 0.8419093 0.8325137 0.7957992 0.8420927 0.8649926 0.8843327
 [3,] 0.7984083 0.8158377 0.7677941 0.7581907 0.7919091 0.8577943 0.8571712
 [4,] 0.7476173 0.7785962 0.7944363 0.7409839 0.7943583 0.8255756 0.8550225
 [5,] 0.8155159 0.8159950 0.8130337 0.7535053 0.8556603 0.8559605 0.8792557
 [6,] 0.5992311 0.6472190 0.6452791 0.6758470 0.7160459 0.7517226 0.7831627
 [7,] 0.7301205 0.7616413 0.7408651 0.7599553 0.6882959 0.8045438 0.8077218
 [8,] 0.0000000 0.7071756 0.7246352 0.6933620 0.7518859 0.7103264 0.7528249
 [9,] 0.7071756 0.0000000 0.7141600 0.7530649 0.7118387 0.7900386 0.7546440
[10,] 0.7246352 0.7141600 0.0000000 0.7752372 0.7591218 0.7835618 0.7400122
[11,] 0.6933620 0.7530649 0.7752372 0.0000000 0.7680430 0.7297227 0.7766397
[12,] 0.7518859 0.7118387 0.7591218 0.7680430 0.0000000 0.8241105 0.8177710
[13,] 0.7103264 0.7900386 0.7835618 0.7297227 0.8241105 0.0000000 0.7437188
[14,] 0.7528249 0.7546440 0.7400122 0.7766397 0.8177710 0.7437188 0.0000000
[15,] 0.7183337 0.6784635 0.6757146 0.7759286 0.7845827 0.7496309 0.7513613
[16,] 0.7004302 0.7094044 0.7354702 0.7656477 0.7918572 0.7589419 0.7947150
[17,] 0.7788792 0.8322204 0.7891161 0.7909703 0.8485605 0.8130867 0.7541508
[18,] 0.7192740 0.7892619 0.7465895 0.7440399 0.8101197 0.7373122 0.6840997
[19,] 0.7375115 0.7600922 0.7644184 0.7519798 0.7252410 0.8198510 0.7987353
[20,] 0.7012816 0.7796881 0.7316775 0.7186912 0.7799822 0.7604063 0.7761705
[21,] 0.7527935 0.7289736 0.7632633 0.8262494 0.7678305 0.7900011 0.7710585
[22,] 0.8040465 0.8294492 0.7747006 0.7975438 0.8491564 0.8188642 0.7277807
[23,] 0.7532392 0.7626699 0.7650507 0.8170978 0.8332473 0.7751217 0.7074490
[24,] 0.7228854 0.7402319 0.7563012 0.7444416 0.7976387 0.7197489 0.7499318
[25,] 0.8548872 0.8412437 0.8377973 0.8595175 0.8811746 0.8503162 0.8208160
[26,] 0.8660929 0.8772106 0.8741598 0.8479593 0.8723548 0.8728712 0.8299937
[27,] 0.7495144 0.7865462 0.7632841 0.7510988 0.8051280 0.7217204 0.7534045
[28,] 0.8509552 0.8849167 0.8917967 0.8480143 0.8936835 0.8390605 0.8629780
[29,] 0.6805095 0.7635747 0.7443794 0.6853908 0.7426596 0.7975724 0.8000238
[30,] 0.6864096 0.6985358 0.7043135 0.7097126 0.7421791 0.7621848 0.7792338
[31,] 0.6094966 0.7057112 0.7300178 0.6771748 0.7253237 0.6739781 0.7354783
[32,] 0.6458724 0.7537015 0.7073068 0.7329197 0.7531707 0.7816500 0.7886263
[33,] 0.7866749 0.8276126 0.7896731 0.7150050 0.7855291 0.8123854 0.8305200
[34,] 0.7426933 0.7867960 0.7938074 0.6763041 0.7944718 0.7533936 0.7863480
[35,] 0.7490370 0.7504198 0.7463225 0.7573139 0.7511145 0.7674809 0.7103960
[36,] 0.6667559 0.7081504 0.7169469 0.6655218 0.7240899 0.7132499 0.7519174
[37,] 0.8159583 0.8317130 0.7775166 0.8290640 0.8282218 0.8210422 0.7322629
[38,] 0.7350294 0.7618667 0.7368762 0.7364951 0.7539433 0.7929569 0.8167976
[39,] 0.7540411 0.7038574 0.7266561 0.7870452 0.7884639 0.7529182 0.7009117
[40,] 0.8899805 0.9048435 0.9010391 0.8520387 0.9014790 0.8533390 0.8612725
[41,] 0.7926235 0.8000067 0.8260852 0.7703076 0.8298313 0.7483564 0.7674176
[42,] 0.7478492 0.7464841 0.7253067 0.7994166 0.7447309 0.7573014 0.6875055
[43,] 0.7586269 0.6685768 0.7382975 0.7798024 0.7488641 0.7351412 0.7292229
[44,] 0.7929498 0.8348338 0.8268450 0.7880849 0.8206834 0.8538130 0.8585647
[45,] 0.7375618 0.7929488 0.7639583 0.7066846 0.8049345 0.7357041 0.7620818
[46,] 0.7326579 0.7946071 0.7240847 0.7547630 0.7923299 0.7569447 0.7516605
[47,] 0.6702285 0.7823540 0.7297903 0.7051451 0.7606518 0.7539539 0.7854834
[48,] 0.7234197 0.8183778 0.7868241 0.6862088 0.7797770 0.7912526 0.8236296
[49,] 0.7642069 0.7393069 0.7285838 0.8286364 0.7200283 0.8051346 0.7629785
[50,] 0.7065131 0.8112977 0.7935441 0.6663385 0.8269819 0.7670828 0.7978826
[51,] 0.8055968 0.8617261 0.8352718 0.7837738 0.8597571 0.8391310 0.8479611
[52,] 0.7119514 0.7705425 0.7206884 0.7479436 0.7042993 0.8250949 0.7459069
[53,] 0.7953578 0.7705241 0.8246423 0.7982996 0.8536624 0.7959970 0.7620385
[54,] 0.8858737 0.8977277 0.9022547 0.8503119 0.9023566 0.8307331 0.8637782
[55,] 0.7808831 0.8560507 0.8035502 0.7826684 0.8565460 0.8028672 0.8215799
[56,] 0.7061502 0.7581894 0.7424194 0.7279099 0.7698861 0.7496229 0.7343113
[57,] 0.7218722 0.7277779 0.7466680 0.6724992 0.7500320 0.7844082 0.8259590
[58,] 0.7581558 0.7554699 0.7817347 0.7260054 0.7131647 0.8483043 0.8370186
[59,] 0.7635279 0.7945626 0.7928595 0.6426155 0.7835028 0.7540405 0.7816233
[60,] 0.8046969 0.8679793 0.8270328 0.8176067 0.8798087 0.8463567 0.8778088
          [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
 [1,] 0.8139030 0.8257171 0.7765530 0.7923510 0.7828275 0.8142405 0.8535553
 [2,] 0.8524537 0.8501672 0.8697637 0.8720554 0.8060515 0.8386759 0.8736897
 [3,] 0.8411429 0.7967578 0.8274880 0.8140568 0.7187278 0.7854456 0.8914490
 [4,] 0.7742898 0.7786387 0.7978512 0.8190976 0.7541679 0.7584455 0.8640643
 [5,] 0.8327762 0.8514047 0.8551665 0.8563109 0.8154240 0.8204234 0.8738634
 [6,] 0.6998638 0.6749319 0.7955048 0.7551373 0.6897697 0.6830049 0.7453172
 [7,] 0.7990245 0.7218844 0.8041147 0.7694043 0.6704854 0.7198746 0.7928932
 [8,] 0.7183337 0.7004302 0.7788792 0.7192740 0.7375115 0.7012816 0.7527935
 [9,] 0.6784635 0.7094044 0.8322204 0.7892619 0.7600922 0.7796881 0.7289736
[10,] 0.6757146 0.7354702 0.7891161 0.7465895 0.7644184 0.7316775 0.7632633
[11,] 0.7759286 0.7656477 0.7909703 0.7440399 0.7519798 0.7186912 0.8262494
[12,] 0.7845827 0.7918572 0.8485605 0.8101197 0.7252410 0.7799822 0.7678305
[13,] 0.7496309 0.7589419 0.8130867 0.7373122 0.8198510 0.7604063 0.7900011
[14,] 0.7513613 0.7947150 0.7541508 0.6840997 0.7987353 0.7761705 0.7710585
[15,] 0.0000000 0.7437353 0.8570467 0.7845023 0.7968001 0.7697280 0.7055950
[16,] 0.7437353 0.0000000 0.8212463 0.7637237 0.7507947 0.7672610 0.7548649
[17,] 0.8570467 0.8212463 0.0000000 0.7226545 0.7978102 0.7908204 0.8563191
[18,] 0.7845023 0.7637237 0.7226545 0.0000000 0.7528523 0.7173982 0.8148906
[19,] 0.7968001 0.7507947 0.7978102 0.7528523 0.0000000 0.7183906 0.8372747
[20,] 0.7697280 0.7672610 0.7908204 0.7173982 0.7183906 0.0000000 0.8421013
[21,] 0.7055950 0.7548649 0.8563191 0.8148906 0.8372747 0.8421013 0.0000000
[22,] 0.8143770 0.8365339 0.7474481 0.7235033 0.8358235 0.7613703 0.8504776
[23,] 0.7215441 0.7951093 0.8243496 0.7588347 0.8259257 0.8108147 0.7548640
[24,] 0.7305214 0.7930195 0.8437974 0.7594579 0.8393265 0.7433703 0.7881700
[25,] 0.8552186 0.8637722 0.8344260 0.8248857 0.8514894 0.8594079 0.8689240
[26,] 0.8830643 0.8766872 0.8017771 0.7893965 0.8484926 0.8303114 0.9079418
[27,] 0.7866418 0.7711116 0.7755207 0.6995876 0.7432194 0.6821637 0.8071459
[28,] 0.8817269 0.8802112 0.8866788 0.8510553 0.9045491 0.8343994 0.9017703
[29,] 0.7741497 0.7740702 0.8015850 0.7460379 0.7140927 0.6729536 0.8136655
[30,] 0.6937433 0.7550928 0.8614232 0.7896410 0.7932976 0.7464379 0.7409592
[31,] 0.6945889 0.7453987 0.8163368 0.7246045 0.7772085 0.7061780 0.7878541
[32,] 0.7974023 0.7150486 0.7762717 0.7593951 0.7351832 0.7506135 0.8044445
[33,] 0.8395541 0.7958722 0.7736442 0.7709288 0.7183703 0.7088800 0.8496432
[34,] 0.7687395 0.7745603 0.7788823 0.6987526 0.7810854 0.6908957 0.8447022
[35,] 0.7761801 0.7432925 0.8096670 0.7387338 0.7426551 0.7080995 0.7625367
[36,] 0.7292029 0.7531482 0.8145944 0.7392135 0.7658062 0.7166387 0.7434619
[37,] 0.8203721 0.8469427 0.8018267 0.7753458 0.8358076 0.7655658 0.8564888
[38,] 0.8085690 0.7764734 0.7958797 0.7592158 0.7047502 0.7131332 0.8115650
[39,] 0.7295783 0.7641370 0.8135107 0.7268041 0.7705702 0.7262163 0.7707488
[40,] 0.8709691 0.9255320 0.9129655 0.8698183 0.9172272 0.8367908 0.8982696
[41,] 0.7773361 0.8368210 0.8499363 0.7582865 0.8703795 0.8093407 0.8248895
[42,] 0.7820972 0.7350651 0.7715251 0.7384563 0.7972273 0.7702580 0.7902580
[43,] 0.7116036 0.7054188 0.7957473 0.7344453 0.7713650 0.7654926 0.7173284
[44,] 0.8509326 0.7927621 0.8045734 0.8274203 0.7787809 0.8159849 0.8568525
[45,] 0.7648903 0.7873769 0.8105590 0.7288490 0.7951757 0.6980713 0.8277661
[46,] 0.7837881 0.7396632 0.7587184 0.6959331 0.7717570 0.7082032 0.8095381
[47,] 0.7740106 0.7440387 0.7839803 0.7445109 0.7541552 0.6835410 0.7924426
[48,] 0.8213464 0.7982740 0.7733144 0.7596458 0.7623182 0.7464793 0.8379318
[49,] 0.7711547 0.7654796 0.8328974 0.7835043 0.7814466 0.7632746 0.7588591
[50,] 0.7734928 0.7748653 0.8322532 0.7683120 0.8032243 0.7321545 0.8323599
[51,] 0.8716837 0.8516196 0.8271563 0.8068716 0.8409572 0.8286251 0.8686480
[52,] 0.7756161 0.7770461 0.7735108 0.7411318 0.7488336 0.7372148 0.8285700
[53,] 0.7676454 0.8150509 0.8664320 0.7961360 0.8759997 0.7903547 0.7889957
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 [4,] 0.8138366 0.7397751 0.7962073 0.7820312 0.7513582 0.6933640 0.8299126
 [5,] 0.8693067 0.7748474 0.7792594 0.8105735 0.7681251 0.7094898 0.8583230
 [6,] 0.7193965 0.7688131 0.7344429 0.7003829 0.6920416 0.7162808 0.7199054
 [7,] 0.7462413 0.7838866 0.8034953 0.7149940 0.7064481 0.7501835 0.7436857
 [8,] 0.7586269 0.7929498 0.7375618 0.7326579 0.6702285 0.7234197 0.7642069
 [9,] 0.6685768 0.8348338 0.7929488 0.7946071 0.7823540 0.8183778 0.7393069
[10,] 0.7382975 0.8268450 0.7639583 0.7240847 0.7297903 0.7868241 0.7285838
[11,] 0.7798024 0.7880849 0.7066846 0.7547630 0.7051451 0.6862088 0.8286364
[12,] 0.7488641 0.8206834 0.8049345 0.7923299 0.7606518 0.7797770 0.7200283
[13,] 0.7351412 0.8538130 0.7357041 0.7569447 0.7539539 0.7912526 0.8051346
[14,] 0.7292229 0.8585647 0.7620818 0.7516605 0.7854834 0.8236296 0.7629785
[15,] 0.7116036 0.8509326 0.7648903 0.7837881 0.7740106 0.8213464 0.7711547
[16,] 0.7054188 0.7927621 0.7873769 0.7396632 0.7440387 0.7982740 0.7654796
[17,] 0.7957473 0.8045734 0.8105590 0.7587184 0.7839803 0.7733144 0.8328974
[18,] 0.7344453 0.8274203 0.7288490 0.6959331 0.7445109 0.7596458 0.7835043
[19,] 0.7713650 0.7787809 0.7951757 0.7717570 0.7541552 0.7623182 0.7814466
[20,] 0.7654926 0.8159849 0.6980713 0.7082032 0.6835410 0.7464793 0.7632746
[21,] 0.7173284 0.8568525 0.8277661 0.8095381 0.7924426 0.8379318 0.7588591
[22,] 0.8158364 0.8996275 0.7311233 0.7715222 0.7747555 0.8234195 0.8458913
[23,] 0.6935376 0.8825525 0.7728784 0.7694550 0.7496100 0.8194426 0.8034690
[24,] 0.7956292 0.8457609 0.6918641 0.7585495 0.7832145 0.8112502 0.7963160
[25,] 0.8451123 0.8834150 0.8391769 0.8631550 0.8487769 0.8083543 0.8414700
[26,] 0.8611441 0.8916923 0.8245325 0.8378958 0.8507859 0.8348105 0.8770959
[27,] 0.7633653 0.7923827 0.6703156 0.6958107 0.7662690 0.7279461 0.7973772
[28,] 0.8978133 0.8796738 0.7914682 0.8564414 0.8643457 0.8373868 0.9004100
[29,] 0.7746492 0.7555944 0.7080311 0.7419464 0.7412145 0.6672606 0.7569013
[30,] 0.7853802 0.8364280 0.7551692 0.7659058 0.7224300 0.7557007 0.7439631
[31,] 0.7108321 0.8341437 0.6608165 0.7044281 0.6775695 0.7394272 0.7259378
[32,] 0.7817264 0.7434668 0.7343713 0.7177239 0.6485949 0.7326883 0.7873281
[33,] 0.7890794 0.7525366 0.7633008 0.7335120 0.7086812 0.7216717 0.8240888
[34,] 0.7788347 0.7989563 0.6718514 0.7253709 0.7239262 0.7293170 0.8185712
[35,] 0.7078062 0.8219689 0.7317212 0.7374633 0.7290669 0.7959611 0.7139020
[36,] 0.7097388 0.8167885 0.7139102 0.7377902 0.6506654 0.6830551 0.7557036
[37,] 0.7876084 0.8945064 0.7963520 0.7729337 0.8385662 0.8361126 0.8194945
[38,] 0.8020276 0.7370966 0.7911250 0.7650307 0.7166896 0.7261612 0.7776895
[39,] 0.6375024 0.8769366 0.7090407 0.7498564 0.7625940 0.8041366 0.7458527
[40,] 0.9072315 0.9210258 0.8267085 0.8797268 0.9081454 0.9076332 0.9078912
[41,] 0.8122338 0.8615398 0.7475656 0.7974978 0.8231662 0.8122859 0.8340476
[42,] 0.6995580 0.8648330 0.7748139 0.7320161 0.7430533 0.7971993 0.7307415
[43,] 0.0000000 0.8589328 0.7901885 0.7509010 0.7637789 0.7970880 0.6903319
[44,] 0.8589328 0.0000000 0.8404219 0.8143642 0.7841925 0.7325300 0.8579260
[45,] 0.7901885 0.8404219 0.0000000 0.6787207 0.6717270 0.7472098 0.8167972
[46,] 0.7509010 0.8143642 0.6787207 0.0000000 0.7035379 0.7672686 0.7465943
[47,] 0.7637789 0.7841925 0.6717270 0.7035379 0.0000000 0.7093401 0.7715798
[48,] 0.7970880 0.7325300 0.7472098 0.7672686 0.7093401 0.0000000 0.8060387
[49,] 0.6903319 0.8579260 0.8167972 0.7465943 0.7715798 0.8060387 0.0000000
[50,] 0.8039501 0.8003482 0.6956170 0.7493969 0.7257634 0.6686125 0.8275866
[51,] 0.8447142 0.7709695 0.8019091 0.8216044 0.7621923 0.6943984 0.8721435
[52,] 0.7484736 0.8037091 0.7591033 0.7575711 0.6667646 0.7270170 0.7692822
[53,] 0.7495893 0.8960307 0.7531512 0.7650683 0.8298220 0.8655459 0.7990719
[54,] 0.9072158 0.9329592 0.8014409 0.8646020 0.8549501 0.8761789 0.9112944
[55,] 0.8109024 0.7864195 0.7981742 0.7748490 0.7545913 0.7145264 0.8269895
[56,] 0.7363616 0.8473377 0.6789080 0.7239752 0.7292138 0.7161784 0.7450909
[57,] 0.7477036 0.7665925 0.7525659 0.7516234 0.7384071 0.6976784 0.7874226
[58,] 0.7992364 0.7738158 0.8140655 0.7962923 0.7634274 0.7530459 0.8050176
[59,] 0.7764238 0.7626322 0.6911943 0.7334372 0.7734880 0.6516034 0.8231791
[60,] 0.8902666 0.8384909 0.8255935 0.8549527 0.7668357 0.8100336 0.8747519
          [,50]     [,51]     [,52]     [,53]     [,54]     [,55]     [,56]
 [1,] 0.8298702 0.8659947 0.8186029 0.8686555 0.9015894 0.8472425 0.8171471
 [2,] 0.7733573 0.8000066 0.8211780 0.9227806 0.8958359 0.8241601 0.8425765
 [3,] 0.7945110 0.7780437 0.7450298 0.8736019 0.9020807 0.7847984 0.8163735
 [4,] 0.7514289 0.7860510 0.7658532 0.9029934 0.8977549 0.7686342 0.7610570
 [5,] 0.7707386 0.7371816 0.8246486 0.8977557 0.8920329 0.7497379 0.8062043
 [6,] 0.7694207 0.8232321 0.7163636 0.7811944 0.9101860 0.7874309 0.7148712
 [7,] 0.7651781 0.8435479 0.7132843 0.8103092 0.9213052 0.8143743 0.7461003
 [8,] 0.7065131 0.8055968 0.7119514 0.7953578 0.8858737 0.7808831 0.7061502
 [9,] 0.8112977 0.8617261 0.7705425 0.7705241 0.8977277 0.8560507 0.7581894
[10,] 0.7935441 0.8352718 0.7206884 0.8246423 0.9022547 0.8035502 0.7424194
[11,] 0.6663385 0.7837738 0.7479436 0.7982996 0.8503119 0.7826684 0.7279099
[12,] 0.8269819 0.8597571 0.7042993 0.8536624 0.9023566 0.8565460 0.7698861
[13,] 0.7670828 0.8391310 0.8250949 0.7959970 0.8307331 0.8028672 0.7496229
[14,] 0.7978826 0.8479611 0.7459069 0.7620385 0.8637782 0.8215799 0.7343113
[15,] 0.7734928 0.8716837 0.7756161 0.7676454 0.9082804 0.8564834 0.7536317
[16,] 0.7748653 0.8516196 0.7770461 0.8150509 0.9223295 0.8223569 0.7910743
[17,] 0.8322532 0.8271563 0.7735108 0.8664320 0.8975054 0.8083520 0.7945807
[18,] 0.7683120 0.8068716 0.7411318 0.7961360 0.8619381 0.7878995 0.7255790
[19,] 0.8032243 0.8409572 0.7488336 0.8759997 0.9106605 0.8534777 0.7911899
[20,] 0.7321545 0.8286251 0.7372148 0.7903547 0.8426683 0.7857646 0.7272348
[21,] 0.8323599 0.8686480 0.8285700 0.7889957 0.9200924 0.8325397 0.8244371
[22,] 0.8256122 0.8534581 0.7834136 0.8405485 0.8037024 0.8330373 0.7954886
[23,] 0.8418839 0.8123937 0.7513160 0.7504245 0.8972084 0.8194796 0.7709596
[24,] 0.7460435 0.8488694 0.8140584 0.7591045 0.7774270 0.8337814 0.7521224
[25,] 0.8580755 0.8483562 0.8270564 0.8997869 0.9015716 0.8671300 0.8480281
[26,] 0.8537587 0.8672337 0.8561858 0.8482341 0.8864684 0.8512940 0.8321781
[27,] 0.7370035 0.8325152 0.7593048 0.7778250 0.8503157 0.7869148 0.7332269
[28,] 0.8444946 0.8706410 0.8928148 0.8663086 0.6967881 0.8660075 0.8448651
[29,] 0.6981516 0.7964822 0.7242081 0.8413550 0.8926758 0.7957648 0.6861461
[30,] 0.7081498 0.8233814 0.7890201 0.8190457 0.8894863 0.7960802 0.7241716
[31,] 0.6879487 0.8309569 0.7464301 0.7488067 0.8686828 0.7904334 0.6848854
[32,] 0.7446269 0.7671406 0.7189580 0.8561698 0.9165045 0.7605924 0.7566408
[33,] 0.7472516 0.7535065 0.7563375 0.8732871 0.8843837 0.7557686 0.7792123
[34,] 0.6639493 0.8056302 0.7602293 0.7963435 0.8464337 0.7907174 0.7411519
[35,] 0.7673984 0.8233753 0.7459649 0.8047125 0.8816520 0.7903451 0.7556019
[36,] 0.7243452 0.8041307 0.7371862 0.7756091 0.8762472 0.7645716 0.6933533
[37,] 0.8564287 0.8683651 0.8314047 0.7914580 0.8245255 0.8386852 0.8104630
[38,] 0.7646724 0.8037937 0.7112378 0.8576338 0.8971691 0.8000136 0.7556672
[39,] 0.7798154 0.8190229 0.7448150 0.7348727 0.8723844 0.7880783 0.7074700
[40,] 0.8849014 0.9068425 0.9189731 0.8548080 0.7417550 0.9275805 0.8887230
[41,] 0.7868647 0.8451250 0.8498563 0.7897544 0.7416976 0.8551018 0.7731177
[42,] 0.8233249 0.7998708 0.7343230 0.8051328 0.8950728 0.7983711 0.7328443
[43,] 0.8039501 0.8447142 0.7484736 0.7495893 0.9072158 0.8109024 0.7363616
[44,] 0.8003482 0.7709695 0.8037091 0.8960307 0.9329592 0.7864195 0.8473377
[45,] 0.6956170 0.8019091 0.7591033 0.7531512 0.8014409 0.7981742 0.6789080
[46,] 0.7493969 0.8216044 0.7575711 0.7650683 0.8646020 0.7748490 0.7239752
[47,] 0.7257634 0.7621923 0.6667646 0.8298220 0.8549501 0.7545913 0.7292138
[48,] 0.6686125 0.6943984 0.7270170 0.8655459 0.8761789 0.7145264 0.7161784
[49,] 0.8275866 0.8721435 0.7692822 0.7990719 0.9112944 0.8269895 0.7450909
[50,] 0.0000000 0.7435095 0.7724427 0.8094260 0.8629929 0.7438283 0.7435929
[51,] 0.7435095 0.0000000 0.7792359 0.8876637 0.8581186 0.7318548 0.7979938
[52,] 0.7724427 0.7792359 0.0000000 0.8319467 0.9108412 0.7756859 0.7205897
[53,] 0.8094260 0.8876637 0.8319467 0.0000000 0.8599279 0.8418958 0.7633361
[54,] 0.8629929 0.8581186 0.9108412 0.8599279 0.0000000 0.8908199 0.8406519
[55,] 0.7438283 0.7318548 0.7756859 0.8418958 0.8908199 0.0000000 0.7744127
[56,] 0.7435929 0.7979938 0.7205897 0.7633361 0.8406519 0.7744127 0.0000000
[57,] 0.7270171 0.8087565 0.7385233 0.8477755 0.9057926 0.7857056 0.7454992
[58,] 0.7986881 0.8449760 0.7208286 0.8714112 0.9171511 0.8604458 0.8148340
[59,] 0.6885604 0.7953354 0.7659706 0.8146416 0.8549364 0.7744171 0.7273546
[60,] 0.7884647 0.7412248 0.8476884 0.9063853 0.8624093 0.8324976 0.8332579
          [,57]     [,58]     [,59]     [,60]
 [1,] 0.8281458 0.8381973 0.8125483 0.8486647
 [2,] 0.7448237 0.8434176 0.8475553 0.7709760
 [3,] 0.7127995 0.7408688 0.7759107 0.8266101
 [4,] 0.6380048 0.7266054 0.7153898 0.8235415
 [5,] 0.7633011 0.8080463 0.7976447 0.7973313
 [6,] 0.6689888 0.6820363 0.7201935 0.8418440
 [7,] 0.7281498 0.6866068 0.7417100 0.8807224
 [8,] 0.7218722 0.7581558 0.7635279 0.8046969
 [9,] 0.7277779 0.7554699 0.7945626 0.8679793
[10,] 0.7466680 0.7817347 0.7928595 0.8270328
[11,] 0.6724992 0.7260054 0.6426155 0.8176067
[12,] 0.7500320 0.7131647 0.7835028 0.8798087
[13,] 0.7844082 0.8483043 0.7540405 0.8463567
[14,] 0.8259590 0.8370186 0.7816233 0.8778088
[15,] 0.7337093 0.8200028 0.8120658 0.8614857
[16,] 0.7035045 0.7604738 0.7575270 0.8795086
[17,] 0.7978304 0.8053651 0.7960243 0.8738860
[18,] 0.7724018 0.8174119 0.7186053 0.8733307
[19,] 0.7109992 0.6891056 0.7483323 0.8634155
[20,] 0.6913738 0.7504602 0.7045724 0.8631370
[21,] 0.8047643 0.8699076 0.8584589 0.8759868
[22,] 0.8396623 0.8674803 0.8152813 0.8675927
[23,] 0.8267035 0.8712874 0.8396898 0.8386451
[24,] 0.7805410 0.8354641 0.7365024 0.8422423
[25,] 0.8408983 0.8547121 0.8505633 0.8618795
[26,] 0.8796334 0.8468886 0.8283765 0.9048040
[27,] 0.7674001 0.7972893 0.6970182 0.8658537
[28,] 0.8636041 0.9186996 0.8243923 0.8739760
[29,] 0.6357545 0.7030368 0.6831160 0.8528732
[30,] 0.7386544 0.8131624 0.7784705 0.7956887
[31,] 0.7179555 0.7647655 0.7053392 0.8315358
[32,] 0.6927213 0.7637564 0.7797384 0.7950759
[33,] 0.7281458 0.7371526 0.7354886 0.8255348
[34,] 0.7321789 0.8036593 0.6675361 0.8420651
[35,] 0.7450246 0.7856234 0.7313143 0.8755295
[36,] 0.7340707 0.7770528 0.7233698 0.8093095
[37,] 0.8341305 0.8699726 0.7780601 0.9039663
[38,] 0.7541673 0.7009874 0.7336104 0.8393135
[39,] 0.7913504 0.8470035 0.7718650 0.8632209
[40,] 0.9145074 0.9212212 0.8526538 0.9025164
[41,] 0.8547976 0.8675876 0.7640987 0.8698807
[42,] 0.7776989 0.8155925 0.8019562 0.8599457
[43,] 0.7477036 0.7992364 0.7764238 0.8902666
[44,] 0.7665925 0.7738158 0.7626322 0.8384909
[45,] 0.7525659 0.8140655 0.6911943 0.8255935
[46,] 0.7516234 0.7962923 0.7334372 0.8549527
[47,] 0.7384071 0.7634274 0.7734880 0.7668357
[48,] 0.6976784 0.7530459 0.6516034 0.8100336
[49,] 0.7874226 0.8050176 0.8231791 0.8747519
[50,] 0.7270171 0.7986881 0.6885604 0.7884647
[51,] 0.8087565 0.8449760 0.7953354 0.7412248
[52,] 0.7385233 0.7208286 0.7659706 0.8476884
[53,] 0.8477755 0.8714112 0.8146416 0.9063853
[54,] 0.9057926 0.9171511 0.8549364 0.8624093
[55,] 0.7857056 0.8604458 0.7744171 0.8324976
[56,] 0.7454992 0.8148340 0.7273546 0.8332579
[57,] 0.0000000 0.7328878 0.7075209 0.8559740
[58,] 0.7328878 0.0000000 0.7654991 0.8784106
[59,] 0.7075209 0.7654991 0.0000000 0.8602199
[60,] 0.8559740 0.8784106 0.8602199 0.0000000

$dw
           [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
 [1,] 0.0000000 0.3038448 0.2708932 0.2875414 0.3042837 0.2619925 0.2607950
 [2,] 0.3038448 0.0000000 0.1431624 0.1823744 0.1630297 0.2547851 0.2583165
 [3,] 0.2708932 0.1431624 0.0000000 0.1282493 0.1276438 0.2303520 0.1806354
 [4,] 0.2875414 0.1823744 0.1282493 0.0000000 0.1392867 0.2012496 0.1525452
 [5,] 0.3042837 0.1630297 0.1276438 0.1392867 0.0000000 0.2439716 0.2096186
 [6,] 0.2619925 0.2547851 0.2303520 0.2012496 0.2439716 0.0000000 0.1864760
 [7,] 0.2607950 0.2583165 0.1806354 0.1525452 0.2096186 0.1864760 0.0000000
 [8,] 0.2836026 0.2194924 0.2068268 0.2035366 0.2174098 0.1255142 0.2083257
 [9,] 0.2919893 0.3313677 0.3021864 0.2952461 0.3333875 0.1592088 0.2563855
[10,] 0.2351046 0.2857315 0.2523106 0.2451694 0.2821514 0.1385484 0.2133597
[11,] 0.2689264 0.1683912 0.1538279 0.1607485 0.1621889 0.1853751 0.2084025
[12,] 0.2721078 0.2830176 0.2351392 0.2135461 0.2717395 0.1834148 0.1491804
[13,] 0.3287600 0.3147444 0.3131680 0.3095136 0.3120389 0.1982560 0.3061745
[14,] 0.2506361 0.3544005 0.3413703 0.3139246 0.3530733 0.2016886 0.2774449
[15,] 0.3352122 0.3689167 0.3501663 0.3313437 0.3694648 0.2066461 0.2939915
[16,] 0.2516513 0.2675510 0.2237025 0.2395694 0.2696607 0.1509827 0.2084962
[17,] 0.2302165 0.2531132 0.2233761 0.2109964 0.2444715 0.2153777 0.2293315
[18,] 0.2339741 0.2405526 0.2095739 0.2116228 0.2369795 0.1771484 0.1987423
[19,] 0.2633116 0.2756414 0.2043116 0.2044302 0.2589564 0.2254150 0.1391211
[20,] 0.2541226 0.2357068 0.2165330 0.1890027 0.2355017 0.1593607 0.1890855
[21,] 0.3217605 0.3551976 0.3483805 0.3272694 0.3571360 0.1788951 0.2948451
[22,] 0.3451010 0.3357056 0.3423257 0.3356457 0.3376343 0.2872267 0.3479626
[23,] 0.3090720 0.3481399 0.3611182 0.3434469 0.3641270 0.1815962 0.3074082
[24,] 0.3199281 0.2828633 0.2913608 0.2859290 0.2877097 0.1955487 0.2823452
[25,] 0.2040504 0.3246874 0.3164809 0.3050163 0.3216688 0.2847826 0.2959975
[26,] 0.2725863 0.3430819 0.3187227 0.3501477 0.3521469 0.3193866 0.3292648
[27,] 0.2975240 0.2922833 0.2511291 0.2100988 0.2776875 0.1849581 0.1991065
[28,] 0.4301400 0.3600318 0.3884080 0.3818024 0.3637998 0.3470165 0.4096628
[29,] 0.2772323 0.2356579 0.1865081 0.1528318 0.2066027 0.1673632 0.1509834
[30,] 0.2851153 0.2388017 0.2217542 0.2144683 0.2402175 0.1567904 0.2184993
[31,] 0.2804318 0.2428990 0.2295589 0.2318483 0.2482341 0.1519591 0.2219235
[32,] 0.2541629 0.2110351 0.1617357 0.1498719 0.1853734 0.1390598 0.1681265
[33,] 0.2696241 0.2214720 0.1553173 0.1595457 0.1894454 0.2340552 0.1634637
[34,] 0.2830244 0.2189274 0.1986532 0.1810825 0.2070468 0.1993908 0.2070401
[35,] 0.2443324 0.2353671 0.1918848 0.1896453 0.2351334 0.1847145 0.1620413
[36,] 0.2960750 0.2510203 0.2421260 0.2372869 0.2519367 0.1354484 0.2254589
[37,] 0.2347230 0.3119638 0.3018644 0.2880940 0.3228769 0.2448302 0.2690867
[38,] 0.2377330 0.2303042 0.1520549 0.1783965 0.2044316 0.2074312 0.1403412
[39,] 0.2872469 0.3220606 0.3088505 0.2836458 0.3238455 0.1410469 0.2583851
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           [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
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 [9,] 0.2201156 0.0000000 0.1914967 0.2826198 0.2137063 0.2450612 0.2085713
[10,] 0.1861890 0.1914967 0.0000000 0.2321816 0.1917384 0.2453293 0.1994911
[11,] 0.1548522 0.2826198 0.2321816 0.0000000 0.2347027 0.2371792 0.2755866
[12,] 0.2078145 0.2137063 0.1917384 0.2347027 0.0000000 0.2863220 0.2654403
[13,] 0.1859722 0.2450612 0.2453293 0.2371792 0.2863220 0.0000000 0.2218743
[14,] 0.2335519 0.2085713 0.1994911 0.2755866 0.2654403 0.2218743 0.0000000
[15,] 0.2501406 0.2052870 0.1995394 0.3151899 0.2466537 0.1787536 0.1988058
[16,] 0.1936956 0.1426428 0.1677602 0.2330501 0.2019201 0.2676993 0.2458824
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[25,] 0.2988585 0.3156010 0.2574341 0.2898455 0.3052595 0.3385858 0.2915245
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[30,] 0.1375553 0.2292072 0.1748266 0.1616454 0.2104291 0.2084376 0.2119243
[31,] 0.1275681 0.2379078 0.1936667 0.1611536 0.1914360 0.1658766 0.2258301
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[35,] 0.2030969 0.2040359 0.1954894 0.1790905 0.1659889 0.2737039 0.2391193
[36,] 0.1180410 0.2067739 0.1898105 0.1745191 0.2015099 0.1472808 0.2069234
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[38,] 0.2132762 0.2548448 0.2280152 0.1798079 0.1704630 0.2963326 0.2800432
[39,] 0.1836024 0.1537491 0.1690780 0.2465039 0.2420700 0.1982585 0.1508544
[40,] 0.3759879 0.4236721 0.4124028 0.3864653 0.4399980 0.3677075 0.3801424
[41,] 0.2500347 0.3157545 0.3011940 0.2807796 0.3292270 0.2458497 0.2693236
[42,] 0.2015959 0.1686424 0.1679147 0.2689216 0.2123100 0.2092346 0.1511595
[43,] 0.2075566 0.1370277 0.1629210 0.2683739 0.2202649 0.1841012 0.1676051
[44,] 0.2409520 0.3048365 0.2690104 0.1711014 0.2257285 0.3405843 0.3246480
[45,] 0.1705437 0.2598686 0.2433482 0.1925086 0.2548214 0.1682476 0.2022222
[46,] 0.1614250 0.2321659 0.1909788 0.1737068 0.2217790 0.2357835 0.2098696
[47,] 0.1351162 0.2549126 0.2092897 0.1241218 0.2006934 0.2155626 0.2621541
[48,] 0.1829928 0.3102052 0.2454822 0.1358411 0.2131600 0.2894527 0.3215225
[49,] 0.1966022 0.2136898 0.1553100 0.2262184 0.1662657 0.2719695 0.2278266
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[51,] 0.2162741 0.3314679 0.2852694 0.1544815 0.2707149 0.3088807 0.3373455
[52,] 0.1624378 0.2332471 0.1735436 0.1570428 0.1396266 0.2730931 0.2550465
[53,] 0.2421109 0.1949094 0.2469509 0.2872641 0.3046086 0.2219433 0.2086552
[54,] 0.3202892 0.4079257 0.3885486 0.3232365 0.4087563 0.2976674 0.3825074
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[56,] 0.1283889 0.2451428 0.2005928 0.1646354 0.1857781 0.2111432 0.2269581
[57,] 0.1994066 0.2224466 0.2101629 0.1470990 0.1970726 0.2894183 0.2903082
[58,] 0.2337497 0.2674742 0.2373448 0.2143400 0.1699473 0.3190678 0.2998526
[59,] 0.1988747 0.2866960 0.2544521 0.1578877 0.2110184 0.2841922 0.2888034
[60,] 0.2381999 0.3698811 0.3211620 0.2247993 0.3301433 0.2501559 0.3557849
          [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
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[10,] 0.1995394 0.1677602 0.2339814 0.1915268 0.2449227 0.1939126 0.1823920
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[12,] 0.2466537 0.2019201 0.2466885 0.2135515 0.1776701 0.1971000 0.2618286
[13,] 0.1787536 0.2676993 0.3097167 0.2480255 0.3239492 0.2669357 0.1934110
[14,] 0.1988058 0.2458824 0.2489252 0.2081761 0.2908680 0.2413543 0.1879804
[15,] 0.0000000 0.2322898 0.3310682 0.2839474 0.3167756 0.2777765 0.1184828
[16,] 0.2322898 0.0000000 0.2450250 0.1931873 0.2132989 0.2015762 0.2162415
[17,] 0.3310682 0.2450250 0.0000000 0.1852960 0.2429185 0.2158795 0.3184818
[18,] 0.2839474 0.1931873 0.1852960 0.0000000 0.2083782 0.1841392 0.2777729
[19,] 0.3167756 0.2132989 0.2429185 0.2083782 0.0000000 0.2005120 0.3109345
[20,] 0.2777765 0.2015762 0.2158795 0.1841392 0.2005120 0.0000000 0.2646753
[21,] 0.1184828 0.2162415 0.3184818 0.2777729 0.3109345 0.2646753 0.0000000
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[23,] 0.1291868 0.2325409 0.3244927 0.2790339 0.3394424 0.2657508 0.1272187
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[39,] 0.1743354 0.1995383 0.2817838 0.2230109 0.2808382 0.1833128 0.1443326
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[42,] 0.1708796 0.1915614 0.2639235 0.2295901 0.2697879 0.2310101 0.1558450
[43,] 0.1264166 0.1921826 0.2869912 0.2478503 0.2796417 0.2372315 0.1084516
[44,] 0.3539027 0.2381533 0.2248626 0.2112669 0.1940027 0.2280076 0.3463758
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[59,] 0.3336081 0.2367002 0.2280630 0.1763838 0.1941444 0.1383938 0.3242238
[60,] 0.3725944 0.3366903 0.2984120 0.3040493 0.3509669 0.2994616 0.3622145
          [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
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[13,] 0.2807681 0.1684690 0.2127446 0.3385858 0.3628952 0.2473433 0.3101195
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[19,] 0.3657881 0.3394424 0.3165778 0.2987951 0.3115969 0.1940652 0.4308864
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[21,] 0.3182710 0.1272187 0.2472966 0.3022107 0.3587558 0.2555046 0.3815180
[22,] 0.0000000 0.3018965 0.1608829 0.3319250 0.2871396 0.2467352 0.1914395
[23,] 0.3018965 0.0000000 0.2477243 0.3167715 0.3377599 0.2639305 0.3652727
[24,] 0.1608829 0.2477243 0.0000000 0.3269164 0.2970087 0.2066240 0.2052321
[25,] 0.3319250 0.3167715 0.3269164 0.0000000 0.2960027 0.2987612 0.4064795
[26,] 0.2871396 0.3377599 0.2970087 0.2960027 0.0000000 0.3011545 0.3859218
[27,] 0.2467352 0.2639305 0.2066240 0.2987612 0.3011545 0.0000000 0.3205261
[28,] 0.1914395 0.3652727 0.2052321 0.4064795 0.3859218 0.3205261 0.0000000
[29,] 0.2679292 0.2826859 0.2187615 0.2781590 0.3045821 0.1477305 0.3269068
[30,] 0.2866509 0.2164620 0.1795345 0.2797182 0.3508710 0.2041090 0.3096051
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[33,] 0.3506038 0.3401056 0.2899834 0.2915948 0.3191034 0.2012233 0.4019060
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[35,] 0.3002150 0.2741222 0.2138796 0.2927603 0.2608756 0.1988279 0.3657916
[36,] 0.2675253 0.1955916 0.1660995 0.3033115 0.3386930 0.1903712 0.3007364
[37,] 0.2114602 0.2745716 0.2067212 0.2697460 0.2510577 0.2157512 0.3235920
[38,] 0.3337023 0.3122408 0.2651308 0.2920660 0.2870454 0.2279823 0.3971229
[39,] 0.2546347 0.1541590 0.1779381 0.2971401 0.3010365 0.1881084 0.3229473
[40,] 0.2231856 0.3885476 0.2401161 0.4376408 0.3897641 0.3399580 0.1600292
[41,] 0.1507749 0.2854211 0.1182141 0.3699732 0.3366222 0.2380746 0.1384780
[42,] 0.2839094 0.1602360 0.2290672 0.2623782 0.3033083 0.2212001 0.3757914
[43,] 0.3044029 0.1249911 0.2256195 0.3104930 0.3499790 0.2232234 0.3749075
[44,] 0.3664424 0.3572033 0.3063078 0.3081853 0.3382134 0.2374656 0.4076955
[45,] 0.2213670 0.2208904 0.1639746 0.3232975 0.3268350 0.2044604 0.2742440
[46,] 0.2357730 0.2394274 0.1888129 0.2803972 0.2943238 0.1683419 0.3172791
[47,] 0.2829699 0.2621380 0.2020097 0.2986244 0.3136454 0.2252291 0.3211064
[48,] 0.3076787 0.3391358 0.2526483 0.2981968 0.3311739 0.2277324 0.3536792
[49,] 0.3319726 0.2350638 0.2364867 0.2561938 0.3343770 0.2289879 0.3854488
[50,] 0.2679139 0.3280021 0.2353733 0.3047488 0.3268972 0.2381202 0.2928350
[51,] 0.3079136 0.3468894 0.2703393 0.3131243 0.3306241 0.2745190 0.3385920
[52,] 0.2996124 0.2780326 0.2402040 0.2590407 0.2996670 0.2054843 0.3711323
[53,] 0.2666818 0.1743889 0.2017399 0.3598486 0.3245908 0.2452789 0.3190357
[54,] 0.2028601 0.3822116 0.2205914 0.3985740 0.3804859 0.3318966 0.1050837
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[12,] 0.2453458 0.2707149 0.1396266 0.3046086 0.4087563 0.2559597 0.1857781
[13,] 0.2550924 0.3088807 0.2730931 0.2219433 0.2976674 0.2957951 0.2111432
[14,] 0.3081810 0.3373455 0.2550465 0.2086552 0.3825074 0.3235244 0.2269581
[15,] 0.3356648 0.3743453 0.2837344 0.1934129 0.4176027 0.3621021 0.2627382
[16,] 0.2398690 0.2841649 0.1870223 0.2689867 0.4121105 0.2555926 0.2299582
[17,] 0.2405552 0.2367542 0.2050507 0.3390037 0.3972467 0.2327758 0.2339494
[18,] 0.2194227 0.2246370 0.1667957 0.2920096 0.3705875 0.2129435 0.1811350
[19,] 0.2639281 0.2758298 0.1832831 0.3676677 0.4372224 0.2597860 0.2382790
[20,] 0.1901039 0.2377337 0.1591460 0.2532256 0.3244095 0.2105587 0.1848538
[21,] 0.3145450 0.3504143 0.2698607 0.1630342 0.3965713 0.3387028 0.2494941
[22,] 0.2679139 0.3079136 0.2996124 0.2666818 0.2028601 0.3090291 0.2709740
[23,] 0.3280021 0.3468894 0.2780326 0.1743889 0.3822116 0.3383806 0.2396521
[24,] 0.2353733 0.2703393 0.2402040 0.2017399 0.2205914 0.2598103 0.1936022
[25,] 0.3047488 0.3131243 0.2590407 0.3598486 0.3985740 0.3064543 0.2959888
[26,] 0.3268972 0.3306241 0.2996670 0.3245908 0.3804859 0.3147290 0.3304683
[27,] 0.2381202 0.2745190 0.2054843 0.2452789 0.3318966 0.2615333 0.1960964
[28,] 0.2928350 0.3385920 0.3711323 0.3190357 0.1050837 0.3366422 0.3214195
[29,] 0.1775798 0.2066352 0.1309848 0.2878751 0.3326085 0.1848233 0.1681901
[30,] 0.1896736 0.2415514 0.1774214 0.2528325 0.3367540 0.2088594 0.1586721
[31,] 0.1855781 0.2431396 0.1806815 0.2184997 0.2868290 0.2070159 0.1361769
[32,] 0.1854392 0.2005010 0.1331553 0.2867674 0.3573869 0.1702542 0.1530507
[33,] 0.2206966 0.2085029 0.1669222 0.3638636 0.4045979 0.1831027 0.2206065
[34,] 0.1528185 0.1917093 0.1642665 0.2797853 0.2785718 0.1813735 0.1796578
[35,] 0.2072705 0.2274369 0.1442998 0.2673451 0.3648231 0.1977288 0.1886740
[36,] 0.2003341 0.2552778 0.1856381 0.2147047 0.3192797 0.2228300 0.1549238
[37,] 0.2675394 0.2896242 0.2410192 0.2419351 0.3223859 0.2828406 0.2280373
[38,] 0.2283897 0.2280526 0.1371927 0.3274579 0.4016329 0.1783375 0.1906310
[39,] 0.2659126 0.3095404 0.2336622 0.1451752 0.3429866 0.2914942 0.1951616
[40,] 0.3723980 0.3943199 0.4227819 0.3260023 0.1832784 0.4056598 0.3804935
[41,] 0.2833352 0.3208963 0.3196652 0.2444893 0.1597222 0.3258379 0.2542102
[42,] 0.2946960 0.3181424 0.2132062 0.2091852 0.3912651 0.3045835 0.2029207
[43,] 0.2997997 0.3330163 0.2392538 0.1593775 0.3910861 0.3216068 0.2132447
[44,] 0.2166130 0.1721257 0.1655679 0.3842501 0.4138360 0.1481454 0.2383092
[45,] 0.1866910 0.2408403 0.2258084 0.2041231 0.2927458 0.2429804 0.1788793
[46,] 0.1956767 0.2352930 0.1890227 0.2247026 0.3323757 0.2270882 0.1646538
[47,] 0.1552351 0.1598785 0.1520035 0.2835961 0.3398864 0.1390622 0.1535190
[48,] 0.1430189 0.1387598 0.1457765 0.3471781 0.3549737 0.1196444 0.1626719
[49,] 0.2639615 0.2887827 0.1745618 0.2786828 0.4045165 0.2576423 0.1774052
[50,] 0.0000000 0.1454947 0.1774173 0.2979781 0.2968187 0.1587676 0.1930584
[51,] 0.1454947 0.0000000 0.1963784 0.3469736 0.3273436 0.1280524 0.2085878
[52,] 0.1774173 0.1963784 0.0000000 0.3113474 0.3779890 0.1757653 0.1641333
[53,] 0.2979781 0.3469736 0.3113474 0.0000000 0.3326435 0.3486458 0.2513262
[54,] 0.2968187 0.3273436 0.3779890 0.3326435 0.0000000 0.3434310 0.3357645
[55,] 0.1587676 0.1280524 0.1757653 0.3486458 0.3434310 0.0000000 0.1920608
[56,] 0.1930584 0.2085878 0.1641333 0.2513262 0.3357645 0.1920608 0.0000000
[57,] 0.1656390 0.1893314 0.1393568 0.3159550 0.3978587 0.1705868 0.2020784
[58,] 0.2553921 0.2707011 0.1445795 0.3506479 0.4197967 0.2469449 0.2229955
[59,] 0.1556405 0.1839808 0.1627816 0.2847063 0.3268287 0.1640506 0.1750100
[60,] 0.1841617 0.2180402 0.2822361 0.3599633 0.2695087 0.2545750 0.2697685
          [,57]     [,58]     [,59]     [,60]
 [1,] 0.2467426 0.2735518 0.2750884 0.3560502
 [2,] 0.1843220 0.2797681 0.2259631 0.2320737
 [3,] 0.1376053 0.2062922 0.1732579 0.2805891
 [4,] 0.1382536 0.1753874 0.1653474 0.2523912
 [5,] 0.1756026 0.2459171 0.1851755 0.2553359
 [6,] 0.1759712 0.2174979 0.2080172 0.3012393
 [7,] 0.1642615 0.1340987 0.1611120 0.3304929
 [8,] 0.1994066 0.2337497 0.1988747 0.2381999
 [9,] 0.2224466 0.2674742 0.2866960 0.3698811
[10,] 0.2101629 0.2373448 0.2544521 0.3211620
[11,] 0.1470990 0.2143400 0.1578877 0.2247993
[12,] 0.1970726 0.1699473 0.2110184 0.3301433
[13,] 0.2894183 0.3190678 0.2841922 0.2501559
[14,] 0.2903082 0.2998526 0.2888034 0.3557849
[15,] 0.2938802 0.3170525 0.3336081 0.3725944
[16,] 0.1461663 0.2192939 0.2367002 0.3366903
[17,] 0.1959621 0.2484601 0.2280630 0.2984120
[18,] 0.1786896 0.2284605 0.1763838 0.3040493
[19,] 0.1739103 0.1802139 0.1941444 0.3509669
[20,] 0.1592700 0.2054309 0.1383938 0.2994616
[21,] 0.2817840 0.3160808 0.3242238 0.3622145
[22,] 0.3357190 0.3599171 0.2626030 0.3172591
[23,] 0.3108976 0.3362536 0.3355531 0.3521013
[24,] 0.2600395 0.2868658 0.2138682 0.2862752
[25,] 0.2920289 0.2913428 0.3113382 0.3454007
[26,] 0.3041616 0.3164738 0.2720489 0.3908372
[27,] 0.2289575 0.2313292 0.1896995 0.3107551
[28,] 0.3895027 0.4190073 0.3219321 0.3078690
[29,] 0.1717328 0.1745781 0.1459246 0.2782111
[30,] 0.1955707 0.2224606 0.2254194 0.2486557
[31,] 0.2121544 0.2345692 0.1804911 0.2523582
[32,] 0.1584742 0.2030066 0.2020428 0.2670247
[33,] 0.1589766 0.1635213 0.1695804 0.3095473
[34,] 0.1726002 0.2328918 0.1161769 0.2564673
[35,] 0.1278487 0.1816075 0.1575431 0.3139577
[36,] 0.2178679 0.2479186 0.2273722 0.2559771
[37,] 0.2684383 0.2908972 0.2222251 0.3325801
[38,] 0.1649966 0.1489682 0.1451733 0.3275337
[39,] 0.2496104 0.2863391 0.2403538 0.3272394
[40,] 0.4326447 0.4452840 0.3557890 0.3918673
[41,] 0.3390259 0.3609219 0.2643019 0.3267333
[42,] 0.2591914 0.2431536 0.2830546 0.3453541
[43,] 0.2548381 0.2766060 0.2884192 0.3508891
[44,] 0.1607582 0.1840978 0.1856867 0.2942404
[45,] 0.2508599 0.2813977 0.1967228 0.2596566
[46,] 0.1935350 0.2328512 0.1727686 0.2903907
[47,] 0.1507688 0.2217543 0.1866317 0.2366681
[48,] 0.1516451 0.2087953 0.1377342 0.2415959
[49,] 0.2002424 0.1990387 0.2323380 0.3367635
[50,] 0.1656390 0.2553921 0.1556405 0.1841617
[51,] 0.1893314 0.2707011 0.1839808 0.2180402
[52,] 0.1393568 0.1445795 0.1627816 0.2822361
[53,] 0.3159550 0.3506479 0.2847063 0.3599633
[54,] 0.3978587 0.4197967 0.3268287 0.2695087
[55,] 0.1705868 0.2469449 0.1640506 0.2545750
[56,] 0.2020784 0.2229955 0.1750100 0.2697685
[57,] 0.0000000 0.2042392 0.1672459 0.2796976
[58,] 0.2042392 0.0000000 0.2108665 0.3454197
[59,] 0.1672459 0.2108665 0.0000000 0.2759952
[60,] 0.2796976 0.3454197 0.2759952 0.0000000

$d5
           [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
 [1,] 0.0000000 0.6450521 0.6021028 0.6171042 0.6475643 0.5887685 0.5954144
 [2,] 0.6450521 0.0000000 0.4290502 0.4600146 0.4229178 0.5264349 0.5867494
 [3,] 0.6021028 0.4290502 0.0000000 0.3539822 0.3760418 0.4808265 0.4542947
 [4,] 0.6171042 0.4600146 0.3539822 0.0000000 0.3597411 0.4412025 0.4001619
 [5,] 0.6475643 0.4229178 0.3760418 0.3597411 0.0000000 0.5234255 0.5152095
 [6,] 0.5887685 0.5264349 0.4808265 0.4412025 0.5234255 0.0000000 0.4107474
 [7,] 0.5954144 0.5867494 0.4542947 0.4001619 0.5152095 0.4107474 0.0000000
 [8,] 0.5994925 0.4955147 0.4865243 0.4624172 0.5154652 0.3203960 0.4621784
 [9,] 0.6235863 0.6231668 0.5957198 0.5718213 0.6268899 0.3821559 0.5251018
[10,] 0.5487741 0.5866641 0.5333880 0.5411739 0.5882061 0.3728985 0.4884772
[11,] 0.5930827 0.4562015 0.4292775 0.4260401 0.4340322 0.4146135 0.4850130
[12,] 0.6220137 0.5948605 0.5292037 0.4956938 0.5900445 0.4259453 0.3864254
[13,] 0.6137455 0.5932525 0.5999140 0.5764784 0.6019249 0.4315312 0.5758368
[14,] 0.5480036 0.6808371 0.6650232 0.6398335 0.6840994 0.5001666 0.5816800
[15,] 0.6280313 0.6343120 0.6207814 0.5855347 0.6424028 0.4385179 0.5640476
[16,] 0.5823499 0.5589706 0.4951554 0.5005990 0.5646645 0.3605498 0.4604408
[17,] 0.5391951 0.6028537 0.5580838 0.5295454 0.5909710 0.5285464 0.5545617
[18,] 0.5550820 0.5952817 0.5404082 0.5314702 0.5790733 0.4596204 0.5085292
[19,] 0.5782916 0.5718351 0.4619655 0.4533806 0.5437701 0.4555847 0.3672645
[20,] 0.5826564 0.5366381 0.5121412 0.4609453 0.5443779 0.4063556 0.4527495
[21,] 0.6402954 0.6412021 0.6587802 0.6266595 0.6583416 0.4296579 0.5764639
[22,] 0.6341543 0.6408777 0.6388899 0.6477885 0.6513290 0.5832155 0.6494602
[23,] 0.6116998 0.6358220 0.6695360 0.6613974 0.6755891 0.4647091 0.5932380
[24,] 0.6373637 0.5738670 0.5988098 0.5837153 0.5888723 0.4511945 0.5645200
[25,] 0.4845343 0.6135970 0.6428719 0.6290958 0.6283186 0.6135335 0.6413000
[26,] 0.5571689 0.6882136 0.6668656 0.7059975 0.7073312 0.6654911 0.6822953
[27,] 0.6143665 0.5994699 0.5376961 0.4777662 0.5759196 0.4404839 0.4713167
[28,] 0.7533586 0.6325777 0.6864279 0.6781282 0.6612078 0.6375942 0.7252961
[29,] 0.6083295 0.5062964 0.4326007 0.3845751 0.4694670 0.3855892 0.3992571
[30,] 0.6067087 0.5112236 0.5038991 0.4760576 0.5246261 0.3813006 0.4976548
[31,] 0.6048285 0.5417018 0.5145863 0.5050532 0.5551831 0.3683161 0.4891691
[32,] 0.5666112 0.4611003 0.4021250 0.3946409 0.4380950 0.3575298 0.4337760
[33,] 0.5955367 0.5225791 0.3837235 0.3790962 0.4261695 0.4981779 0.4369076
[34,] 0.6074536 0.5181583 0.4795546 0.4457088 0.5007721 0.4460708 0.4978528
[35,] 0.5892360 0.5767837 0.5139517 0.4870436 0.5664439 0.4288432 0.4194045
[36,] 0.6183070 0.5298261 0.5291832 0.5117989 0.5451046 0.3472512 0.4770298
[37,] 0.5258965 0.6566498 0.6415046 0.6404733 0.6847330 0.5856878 0.5983435
[38,] 0.5705606 0.5629512 0.4215622 0.4562329 0.5119581 0.4554637 0.3851604
[39,] 0.6019324 0.6376184 0.6190744 0.5899759 0.6475978 0.3873959 0.5272619
[40,] 0.7409769 0.7071166 0.7481351 0.7283193 0.7254707 0.6986972 0.7460767
[41,] 0.6772731 0.6403848 0.6713273 0.6380517 0.6485918 0.5355983 0.6384031
[42,] 0.5655683 0.6465645 0.6013779 0.5644110 0.6389625 0.4169549 0.5182972
[43,] 0.6206221 0.6333417 0.5987649 0.5776619 0.6424128 0.3801708 0.5043919
[44,] 0.6198497 0.4609306 0.3600641 0.3629515 0.4182267 0.5243734 0.4527420
[45,] 0.6182062 0.5644461 0.5628154 0.5377505 0.5395147 0.4319244 0.5546731
[46,] 0.5651686 0.5805677 0.5098752 0.4764621 0.5384014 0.3881323 0.4600813
[47,] 0.5878710 0.4333958 0.4257553 0.4295749 0.4440172 0.3880003 0.4485306
[48,] 0.6162261 0.4116511 0.3778496 0.3444038 0.3558498 0.4557449 0.4423727
[49,] 0.5795334 0.5800244 0.5539190 0.5394999 0.5993283 0.4276543 0.4513259
[50,] 0.6217894 0.4536899 0.4648602 0.4300965 0.4403837 0.4875735 0.5118291
[51,] 0.6525797 0.4762225 0.4746771 0.4741462 0.4059452 0.5596538 0.5715305
[52,] 0.5682370 0.5271300 0.4483252 0.4349013 0.5170500 0.4122133 0.4071384
[53,] 0.6838844 0.7047672 0.6882604 0.6927306 0.7088594 0.4925455 0.6325882
[54,] 0.7381966 0.6537585 0.7045779 0.6923891 0.6749181 0.6887931 0.7333117
[55,] 0.6247041 0.4152735 0.4129492 0.4340895 0.3659303 0.5146977 0.5294642
[56,] 0.6076554 0.5586974 0.5404578 0.4691962 0.5366393 0.4141258 0.4520749
[57,] 0.5837338 0.4366398 0.3896942 0.3393393 0.4319740 0.3846021 0.4146260
[58,] 0.6069480 0.5932069 0.4611252 0.4163559 0.5367294 0.4530416 0.3786813
[59,] 0.6024249 0.5459019 0.4453338 0.4022405 0.4731086 0.4561690 0.4210531
[60,] 0.6589965 0.4625200 0.5658729 0.5286341 0.5165412 0.5955683 0.6413691
           [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
 [1,] 0.5994925 0.6235863 0.5487741 0.5930827 0.6220137 0.6137455 0.5480036
 [2,] 0.4955147 0.6231668 0.5866641 0.4562015 0.5948605 0.5932525 0.6808371
 [3,] 0.4865243 0.5957198 0.5333880 0.4292775 0.5292037 0.5999140 0.6650232
 [4,] 0.4624172 0.5718213 0.5411739 0.4260401 0.4956938 0.5764784 0.6398335
 [5,] 0.5154652 0.6268899 0.5882061 0.4340322 0.5900445 0.6019249 0.6840994
 [6,] 0.3203960 0.3821559 0.3728985 0.4146135 0.4259453 0.4315312 0.5001666
 [7,] 0.4621784 0.5251018 0.4884772 0.4850130 0.3864254 0.5758368 0.5816800
 [8,] 0.0000000 0.4549473 0.4450112 0.3971480 0.4644537 0.4104321 0.5135353
 [9,] 0.4549473 0.0000000 0.4473039 0.5471384 0.4548799 0.4950003 0.4850352
[10,] 0.4450112 0.4473039 0.0000000 0.5261385 0.4636556 0.5115178 0.4751351
[11,] 0.3971480 0.5471384 0.5261385 0.0000000 0.5142983 0.4486820 0.5543346
[12,] 0.4644537 0.4548799 0.4636556 0.5142983 0.0000000 0.5582057 0.5692836
[13,] 0.4104321 0.4950003 0.5115178 0.4486820 0.5582057 0.0000000 0.4840743
[14,] 0.5135353 0.4850352 0.4751351 0.5543346 0.5692836 0.4840743 0.0000000
[15,] 0.4797280 0.4171791 0.4233481 0.5708046 0.4902229 0.4161050 0.4772241
[16,] 0.4143766 0.3748174 0.4203127 0.4905360 0.4861098 0.5043193 0.5412775
[17,] 0.5314861 0.6142183 0.5435687 0.5308879 0.5897572 0.6022893 0.5248665
[18,] 0.4461268 0.5329730 0.4707283 0.4587368 0.5407333 0.4907010 0.4362959
[19,] 0.4866654 0.5282170 0.5265079 0.4901106 0.4306166 0.5847228 0.5830394
[20,] 0.4210107 0.5256246 0.4714693 0.4353188 0.4832378 0.5192573 0.5322301
[21,] 0.4801416 0.4033743 0.4497060 0.5767053 0.5152976 0.4483014 0.4852205
[22,] 0.5711496 0.6354244 0.5613236 0.5744724 0.6460938 0.5747620 0.5277506
[23,] 0.5058088 0.4495371 0.4854559 0.5839320 0.5717098 0.4487292 0.4355947
[24,] 0.4188391 0.4927566 0.5085276 0.4878370 0.5335747 0.4391224 0.4990135
[25,] 0.6237512 0.6289124 0.5866385 0.6172551 0.6405926 0.6351115 0.6078150
[26,] 0.6664498 0.6562938 0.6567211 0.6581190 0.6742664 0.6731615 0.6295177
[27,] 0.4726274 0.5504023 0.5056976 0.4757120 0.5308407 0.4864578 0.5142008
[28,] 0.5949406 0.6862815 0.6850903 0.6037649 0.7039015 0.5939573 0.6826249
[29,] 0.3986127 0.5447317 0.4908126 0.3944359 0.4459178 0.5163258 0.5597645
[30,] 0.3557132 0.4560388 0.4273769 0.4040699 0.4599145 0.4435900 0.5004906
[31,] 0.3323065 0.4723425 0.4552927 0.4019606 0.4304290 0.3658434 0.4875913
[32,] 0.3250189 0.4871872 0.4349788 0.4032985 0.4401756 0.4856279 0.5360728
[33,] 0.5155009 0.5894199 0.5455124 0.4043635 0.5030115 0.5721981 0.6131961
[34,] 0.4314332 0.5460139 0.5373422 0.3697414 0.5017771 0.4852229 0.5595609
[35,] 0.4600465 0.4499125 0.4591280 0.4466695 0.4241974 0.5150175 0.4888203
[36,] 0.3401788 0.4434102 0.4454266 0.3973996 0.4410320 0.3788849 0.4858670
[37,] 0.5743702 0.6033853 0.5057193 0.5867487 0.5612289 0.6069379 0.5025775
[38,] 0.4706389 0.5278728 0.5017903 0.4436854 0.4362924 0.5484254 0.5784195
[39,] 0.4496500 0.3887011 0.4345991 0.5283565 0.5262169 0.4524998 0.4033393
[40,] 0.6735030 0.7129571 0.7215501 0.6639535 0.7323535 0.6342809 0.6685736
[41,] 0.5114495 0.5700411 0.5905128 0.5318723 0.6052721 0.4720017 0.5286960
[42,] 0.4694026 0.4420567 0.4363606 0.5563963 0.4715857 0.4737443 0.4151676
[43,] 0.4706682 0.3377734 0.4240008 0.5332587 0.4636139 0.4329650 0.4484079
[44,] 0.5270483 0.6072262 0.5878477 0.4488417 0.5290646 0.6296997 0.6509530
[45,] 0.4249352 0.5397914 0.5180371 0.4284133 0.5347545 0.4147413 0.4922914
[46,] 0.4316900 0.5199724 0.4582940 0.4550362 0.5190059 0.4860614 0.4870442
[47,] 0.3566958 0.5256863 0.4698753 0.3673807 0.4652861 0.4462304 0.5457702
[48,] 0.4309639 0.5961560 0.5349170 0.3773888 0.4881148 0.5498895 0.6291794
[49,] 0.4651987 0.4693562 0.4179119 0.5445232 0.4161397 0.5404427 0.5161623
[50,] 0.4094425 0.5774708 0.5497703 0.3322420 0.5444437 0.5020561 0.6009682
[51,] 0.5258503 0.6529225 0.6079225 0.4562425 0.6056982 0.6081951 0.6590244
[52,] 0.4054550 0.5041725 0.4382477 0.4336667 0.3953708 0.5543282 0.5325898
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[36,] 0.4545009 0.5217338 0.4732263 0.5426099
[37,] 0.5943550 0.6413172 0.5377234 0.6704473
[38,] 0.4409376 0.3884166 0.3951626 0.6230055
[39,] 0.5271325 0.6007924 0.5211886 0.6344392
[40,] 0.7235039 0.7458127 0.6407869 0.6825462
[41,] 0.6148347 0.6602529 0.5236382 0.6280118
[42,] 0.5323245 0.5454397 0.5713334 0.6521899
[43,] 0.5038036 0.5526145 0.5569427 0.6631725
[44,] 0.4247862 0.4619269 0.4495498 0.5716859
[45,] 0.4940639 0.5643114 0.4230927 0.5470484
[46,] 0.4508741 0.5273069 0.4331134 0.5967265
[47,] 0.3933522 0.4961552 0.4608984 0.4998093
[48,] 0.3758181 0.4774389 0.3567677 0.5191973
[49,] 0.4819922 0.5131009 0.5347736 0.6439797
[50,] 0.3913095 0.5393179 0.3730207 0.4511294
[51,] 0.4918306 0.5914048 0.4999402 0.4662503
[52,] 0.3950287 0.4039214 0.4457921 0.5933076
[53,] 0.6164821 0.6674626 0.5832383 0.6810370
[54,] 0.6962758 0.7292466 0.6218013 0.5676376
[55,] 0.4462880 0.5693837 0.4568504 0.5265009
[56,] 0.4668755 0.5375296 0.4426278 0.5787817
[57,] 0.0000000 0.4602800 0.4059119 0.5609425
[58,] 0.4602800 0.0000000 0.4759268 0.6573166
[59,] 0.4059119 0.4759268 0.0000000 0.5763663
[60,] 0.5609425 0.6573166 0.5763663 0.0000000

MiSPU documentation built on May 1, 2019, 8:41 p.m.