RRHOComparison: Compares two RRHO maps to a third

Description Usage Arguments Details Value Author(s) References See Also Examples

View source: R/RRHO_comparison.R

Description

Comparing two RRHO maps where one of the lists is shared between the two maps as in {RRHO map 1: list1 vs list3} vs {RRHO map 2: list2 vs list3}.

Usage

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  RRHOComparison(list1, list2, list3, 
    stepsize, plots = FALSE, 
    labels, outputdir = NULL,
    log10.ind)

Arguments

list1

A data.frame from experiment 1 with two columns, column 1 is the ‘Gene Identifier’, column 2 is the signed ranking value (e.g. signed -log10 of p-value, or fold change).

list2

Same as list1.

list3

Same as list1.

stepsize

Integer indicating how many genes to increase by in each algorithm iteration.

labels

Character vector carrying the labels for the outputted plots.

plots

Logical. Should comparisons be plotted?

outputdir

Plot destination directory.

log10.ind

Logical. Should pvalues be reported and plotted in -log10 scale and not -log scale?

Details

The difference in {overlap between list1 and list3} compared to the {overlap between list2 and list3}. This is useful for determining if there is a statistically significant difference between two RRHO maps. In other words, this is useful for determining if the overlap between list1 and list3 is statistically different between the overlap between list2 and list3.

RRHO Difference maps are produced by calculating for each pixel the normal approximation of difference in log odds ratio and standard error of overlap between the two RRHO maps. This Z score is then converted to a P-value and corrected for multiple comparisons across pixels [3].

The function will return a RRHO of the significance of overlap between list1 and list3 and list2 and list3. A third RRHO gives the significance of the difference between these two overlap maps.

Note that by default all pvalues are outputted in -log scale. This can be changed with the log10.ind argument.

Value

A oject including:

hypermat1

Pvalues of comparing list1 to list3.

hypermat2

Pvalues of comparing list2 to list3.

Pdiff

The pvalue of the test for a difference in difference between lists 1-3 and 2-3.

Pdiff.by

Pvalues, corrected for the search over all of the list using Benjamini-Yekutieli.

Author(s)

Jason Stein and Jonathan Rosenblatt

References

[1] Plaisier, Seema B., Richard Taschereau, Justin A. Wong, and Thomas G. Graeber. "Rank-rank Hypergeometric Overlap: Identification of Statistically Significant Overlap between Gene-Expression Signatures." Nucleic Acids Research 38, no. 17 (September 1, 2010): e169-e169.

[2] Benjamini, Y., and D. Yekutieli. "The Control of the False Discovery Rate in Multiple Testing under Dependency." ANNALS OF STATISTICS 29, no. 4 (2001): 1165-88.

[3] Stein JL*, de la Torre-Ubieta L*, Tian Y, Parikshak NN, Hernandez IA, Marchetto MC, Baker DK, Lu D, Lowe JK, Wexler EM, Muotri AR, Gage FH, Kosik KS, Geschwind DH. "A quantitative framework to evaluate modeling of cortical development by neural stem cells." Manuscript in press at Neuron. (*) Authors contributed equally to this work.

See Also

RRHO

Examples

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  size<- 500
  list1<- data.frame(GeneIdentifier=paste('gen',1:size, sep=''), 
  RankingVal=-log(runif(size)))
  list2<- data.frame(GeneIdentifier=paste('gen',1:size, sep=''), 
  RankingVal=-log(runif(size)))
  list3<- data.frame(GeneIdentifier=paste('gen',1:size, sep=''), 
  RankingVal=-log(runif(size)))
  (temp.dir<- tempdir())
  RRHOComparison(list1,list2,list3,
                  stepsize=10,
                  labels=c("list1","list2","list3"),
                  plots=TRUE,
                  outputdir=temp.dir,
                  log10.ind=FALSE)

Example output

Loading required package: grid
[1] "/work/tmp/tmp/Rtmp0RxaLj"
$hypermat1
            [,1]      [,2]       [,3]      [,4]       [,5]      [,6]       [,7]
 [1,] 0.00000000 0.0000000 0.00000000 0.0000000 0.00000000 0.0000000 0.00000000
 [2,] 0.00000000 0.0000000 0.96948057 0.6751865 1.48875162 1.1671877 0.92493424
 [3,] 0.00000000 0.9694806 1.52055002 0.9698652 1.41465408 1.8580337 1.40139072
 [4,] 0.00000000 0.6751865 0.96986524 0.5297080 0.74085114 2.4859107 1.81325219
 [5,] 2.50103603 1.4887516 1.41465408 0.7408511 0.82241415 2.2082671 1.51130178
 [6,] 2.28278247 1.1671877 1.01120162 0.9385284 0.89386392 2.0215894 1.88610705
 [7,] 2.10373423 0.9249342 0.72612287 0.6199620 0.54739021 1.3021918 1.14575819
 [8,] 1.95192822 0.7372114 0.52056558 0.7837567 0.61433630 1.2468961 1.02252309
 [9,] 1.82015894 0.5890914 0.79651764 0.9496265 0.67720381 1.2025793 0.92177570
[10,] 1.70374859 0.4708512 1.10745894 1.1186022 0.73728816 1.1660448 0.83708775
[11,] 1.59948758 0.3757802 0.85961381 0.8201595 0.79551775 1.5782972 1.08915116
[12,] 1.50507790 0.2990336 0.66196801 0.5920239 0.54183026 1.1088454 0.99795174
[13,] 1.41881755 0.6517938 0.91943869 0.7193513 0.59253038 1.0858616 0.91777679
[14,] 1.33941078 0.5391986 0.72298763 0.5236906 0.40058549 0.7486463 0.59391775
[15,] 1.26584821 0.9749624 0.97833699 0.6366338 0.44257566 0.7403890 0.54818961
[16,] 1.19732826 0.8292799 0.78157345 0.4654119 0.29547435 0.4975565 0.33866039
[17,] 1.13320373 0.7023633 0.61779213 0.3330288 0.19051038 0.3216370 0.19802587
[18,] 1.07294454 0.5919121 0.48246562 0.2326213 0.21598245 0.3224363 0.18224065
[19,] 1.01611107 0.4959873 0.37168204 0.2962293 0.24219614 0.4907444 0.26522526
[20,] 0.96233467 0.4129285 0.28200215 0.2064806 0.26916241 0.4879405 0.36892635
[21,] 0.91130319 0.3412944 0.21036068 0.2624201 0.29691332 0.4848877 0.49504158
[22,] 0.86274996 0.2798162 0.15400062 0.1819246 0.19588550 0.3203519 0.31305457
[23,] 0.81644540 0.2273643 0.11043264 0.1223260 0.12404226 0.2021066 0.18697629
[24,] 0.77219039 0.4533067 0.17735471 0.1587619 0.13917764 0.2012208 0.17012479
[25,] 0.72981116 0.3774912 0.12847868 0.2016441 0.15496334 0.1998726 0.15420809
[26,] 0.68915516 0.6822686 0.20024288 0.4262855 0.44987292 0.4659002 0.33002835
[27,] 0.65008769 1.1264225 0.29698614 0.5098455 0.48406588 0.4613136 0.30207053
[28,] 0.61248928 0.9812997 0.22271414 0.3754857 0.33677056 0.6575858 0.40564564
[29,] 0.57625343 0.8488074 0.16316872 0.2685249 0.22496214 0.4512419 0.25018920
[30,] 0.54128483 0.7283139 0.11644293 0.1856467 0.14333893 0.2951745 0.14386030
[31,] 0.50749783 0.6192461 0.08067240 0.2299879 0.15646774 0.4398189 0.20318812
[32,] 0.47481519 0.5210767 0.05405507 0.1554053 0.09474134 0.2844868 0.11209862
[33,] 0.44316698 0.9114091 0.08853053 0.3427364 0.48665553 0.8865274 0.54709641
[34,] 0.41248972 0.7805390 0.13892921 0.4137829 0.52222723 0.8819420 0.50297423
[35,] 0.38272562 0.6610006 0.09528025 0.2915813 0.35673678 0.6130607 0.30933722
[36,] 0.35382187 1.1541391 0.58206407 0.9384630 0.89990957 1.2170142 0.60825500
[37,] 0.32573014 0.9945691 0.44603435 0.7103718 0.96765276 1.2210264 0.55836938
[38,] 0.29840604 0.8464871 0.63120354 0.8482984 1.04340970 1.2269020 0.73804988
[39,] 0.27180872 0.7098844 0.48044994 0.6262512 0.75085906 0.8635461 0.46080165
[40,] 0.24590054 0.5848192 0.35286385 0.4420447 0.51218503 0.5713637 0.26105112
[41,] 0.22064667 0.4714135 0.24785525 0.2947030 0.88359950 0.8587515 0.36533107
[42,] 0.19601488 0.9444825 0.37425536 0.3634588 0.96638294 1.2784246 0.77498966
[43,] 0.17197526 1.9126909 0.56254431 1.3970866 2.47326674 2.6963229 1.53657771
[44,] 0.14850001 1.6513812 0.39522017 1.0306868 1.87914182 1.9954707 0.99305344
[45,] 0.12556322 1.3961356 0.61678906 1.3247454 2.18482828 2.1214493 0.91938646
[46,] 0.10314076 1.1466790 0.41450721 0.9267479 1.56837467 1.4433159 0.49147841
[47,] 0.08121006 0.9027545 0.69216636 1.2633476 1.90847379 1.5407748 0.75548944
[48,] 0.05975000 0.6641222 0.42680561 0.8006508 1.23265139 1.7091062 0.65752538
[49,] 0.03874083 0.4305573 0.20709091 0.4037912 0.63939838 0.9058892 0.53633518
[50,] 0.01816397 0.2018489 0.05197938 0.1076113 0.17869254 0.2631945 0.08869975
           [,8]       [,9]     [,10]     [,11]      [,12]      [,13]      [,14]
 [1,] 0.0000000 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000
 [2,] 1.6318074 1.35805257 1.1319502 0.9433979 0.78514525 0.65179376 0.53919865
 [3,] 1.8103175 1.41841045 1.1074589 0.8596138 0.66196801 0.50479811 0.72298763
 [4,] 2.0107581 1.50664375 1.6977616 1.2917524 0.97108424 0.71935135 0.85461892
 [5,] 2.2172299 1.60199908 2.2744595 1.7037407 1.25650720 1.31520780 1.37478034
 [6,] 2.4281651 1.70062475 2.1957878 1.5782972 1.10884539 1.08586164 1.06561687
 [7,] 1.4667472 0.92177570 1.1944226 0.7643431 0.46832568 0.43129373 0.39769858
 [8,] 1.2256602 0.71551654 1.2244069 0.7532877 0.43902167 0.55558889 0.47790213
 [9,] 1.0351882 0.55950795 0.9223117 0.5187615 0.27060782 0.32773302 0.25913525
[10,] 0.8808254 0.43911985 0.6946221 0.3539924 0.16319494 0.28782296 0.31660314
[11,] 1.4194913 1.36535693 1.6980005 0.9815392 0.52414448 0.71614102 0.71059197
[12,] 1.2339687 1.12836236 1.3558393 0.7221160 0.34657316 0.46239559 0.43517391
[13,] 1.0756706 0.93222126 1.0785029 0.5246143 0.22332948 0.28870021 0.36111119
[14,] 0.6828359 0.55638191 0.6337575 0.2590322 0.08804835 0.17337119 0.20935579
[15,] 0.5919815 0.45123069 0.4887759 0.1769661 0.05123926 0.09963545 0.11484838
[16,] 0.3528806 0.36408066 0.3730278 0.1181947 0.02870860 0.08717951 0.09281434
[17,] 0.1969564 0.29189310 0.2812057 0.1219387 0.04720059 0.11697844 0.11361755
[18,] 0.2583364 0.34085007 0.4286371 0.1881184 0.07272322 0.15203591 0.19650974
[19,] 0.3294365 0.39312142 0.6168706 0.2744366 0.10637503 0.19255418 0.22779377
[20,] 0.4106616 0.44881702 0.6490952 0.2755349 0.14918981 0.23875186 0.35434529
[21,] 0.5025058 0.50810431 0.8859540 0.3824220 0.20215899 0.39337087 0.52084828
[22,] 0.3045806 0.29543487 0.5407434 0.1940910 0.08661643 0.18326591 0.24638227
[23,] 0.1723221 0.15833714 0.3055325 0.1325900 0.05140099 0.30898954 0.37389675
[24,] 0.1442186 0.12233713 0.3254054 0.1326607 0.04719293 0.36798625 0.41614623
[25,] 0.1196860 0.09305937 0.2457746 0.1322922 0.04305979 0.32557520 0.46100014
[26,] 0.3447908 0.25028742 0.4976924 0.2716333 0.09453140 0.50697622 0.65148950
[27,] 0.2949156 0.19727133 0.3870010 0.1902157 0.05600818 0.34082485 0.43172320
[28,] 0.3632422 0.22748299 0.4084086 0.2666663 0.07822850 0.40182711 0.47665256
[29,] 0.3104260 0.26066540 0.5784573 0.3640347 0.10672567 0.47038097 0.52481248
[30,] 0.1748009 0.13568725 0.3293478 0.1823745 0.03977796 0.22684092 0.24831708
[31,] 0.2201514 0.23417672 0.4764566 0.3553878 0.08639946 0.36780010 0.37242781
[32,] 0.1160944 0.11807811 0.2593045 0.1747844 0.03014093 0.16559628 0.22499070
[33,] 0.6687066 0.59113406 0.9165458 0.6268892 0.15398709 0.50507328 0.75871621
[34,] 0.5831934 0.66119849 0.9624575 0.6218497 0.13797604 0.44604071 0.65155756
[35,] 0.3504162 0.54359243 0.7756099 0.6165555 0.12245825 0.39037293 0.55284054
[36,] 0.6097787 0.82668114 1.0660940 1.0447914 0.45584424 1.01135836 1.24481447
[37,] 0.7361335 0.92553629 1.1255139 1.3356245 0.57083074 1.16602917 1.36503455
[38,] 0.8874052 1.36330577 1.5293461 1.6976034 0.93192099 1.67102178 1.83966651
[39,] 0.5465221 0.87069210 0.9632146 1.0552479 0.66712321 1.24043392 1.33468327
[40,] 0.3026438 0.50341855 0.5446818 0.5841257 0.31668767 0.65929699 0.69569114
[41,] 0.3784585 0.57276420 0.8041733 0.7956819 0.57646359 1.03368597 1.01915155
[42,] 0.7093328 0.93197349 1.1742584 1.0810848 0.73853767 1.22843298 1.14479607
[43,] 1.7698564 2.00463077 2.2425119 1.9328092 1.27999177 1.89869266 1.67593608
[44,] 1.1265328 1.25839866 1.3899046 1.1145661 0.63300091 1.00839668 0.82333742
[45,] 1.4563520 1.49852880 1.5426228 1.5884646 0.84372793 1.24614055 0.94618826
[46,] 0.8254863 0.81270421 0.8019325 0.7926430 0.31856164 0.51404318 0.32849099
[47,] 1.1270370 0.99302296 0.8850083 0.7951266 0.71849851 1.00187602 0.59317914
[48,] 0.9455509 0.73337981 0.5758626 0.8006194 1.06399155 1.36516819 0.70227137
[49,] 0.7378896 0.96537185 0.6262100 0.8128796 1.02270568 1.25509271 0.47327914
[50,] 0.1305742 0.18129020 0.2408786 0.3093313 0.38662960 0.47276264 0.56773975
           [,15]      [,16]      [,17]      [,18]      [,19]      [,20]
 [1,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
 [2,] 0.44409367 0.36384622 0.70236327 0.59191214 0.49598726 0.87425712
 [3,] 0.56267147 0.43272939 1.03796634 0.83952100 1.09971514 2.05238444
 [4,] 0.63663385 0.46541186 0.88928765 1.02980922 1.18067410 2.49289318
 [5,] 1.02206179 0.74352730 1.13759048 1.19717205 1.25841688 2.30354146
 [6,] 0.74038896 0.49755649 0.72533906 0.71837555 0.71169805 1.31717626
 [7,] 0.23272154 0.12811901 0.19802587 0.18224065 0.16736807 0.36892635
 [8,] 0.27274610 0.14494623 0.30238119 0.38288489 0.32943647 0.57587785
 [9,] 0.12737280 0.09774964 0.19411255 0.23223660 0.18312967 0.31803225
[10,] 0.15241619 0.10865921 0.19004963 0.20900018 0.15285046 0.24718828
[11,] 0.37813105 0.26744956 0.38170667 0.38261489 0.27443662 0.38293671
[12,] 0.20098546 0.12651053 0.17957898 0.24453854 0.15909334 0.21581155
[13,] 0.15244934 0.08717951 0.11697844 0.15203591 0.08844475 0.11532759
[14,] 0.07398251 0.05923168 0.07453430 0.13634648 0.11038241 0.13090613
[15,] 0.03312519 0.02372136 0.02843484 0.05327044 0.03851135 0.04378788
[16,] 0.02372136 0.01521634 0.02801060 0.04750633 0.04947046 0.05110365
[17,] 0.04632445 0.02801060 0.06772684 0.14001075 0.13296557 0.12588858
[18,] 0.12198708 0.07309498 0.14001075 0.24177118 0.21585087 0.19216225
[19,] 0.13418219 0.07541950 0.13296557 0.21585087 0.18086744 0.20716991
[20,] 0.28296083 0.16177975 0.24280965 0.45048124 0.47372370 0.49685348
[21,] 0.40051836 0.22585184 0.30811894 0.52151686 0.52087695 0.65291235
[22,] 0.17085861 0.07990917 0.15751799 0.27780198 0.34802220 0.42772787
[23,] 0.25156362 0.11681260 0.20400676 0.32787662 0.38552868 0.44807367
[24,] 0.26671165 0.16480715 0.25902762 0.38318018 0.42503787 0.46854375
[25,] 0.28191543 0.16437402 0.24344851 0.34366770 0.36370800 0.38358794
[26,] 0.39316546 0.22440532 0.30440436 0.39960707 0.51074726 0.51015744
[27,] 0.31261017 0.22270291 0.28583383 0.35811910 0.43987140 0.41914564
[28,] 0.32817023 0.29651361 0.35331785 0.41495115 0.48152745 0.43726928
[29,] 0.34392523 0.29350564 0.33165705 0.37136512 0.41268751 0.35498336
[30,] 0.14076218 0.10976493 0.17005382 0.18455919 0.19897197 0.21330048
[31,] 0.20659281 0.15230150 0.21500251 0.21814930 0.22066702 0.29579857
[32,] 0.10777062 0.07087549 0.10005160 0.09579366 0.09133670 0.12321208
[33,] 0.40992204 0.27654139 0.33287265 0.29950723 0.26898861 0.32024485
[34,] 0.32047499 0.19713915 0.30883450 0.26120369 0.21987718 0.25006438
[35,] 0.24415095 0.26465425 0.38108257 0.30512766 0.24218432 0.25906037
[36,] 0.60843475 0.60736109 0.77184714 0.76755955 0.60333268 0.60174155
[37,] 0.63574082 0.77403364 0.92602809 1.09200280 0.83425853 0.98724626
[38,] 0.85796396 0.98020784 1.10939106 1.52092935 1.13485346 1.27144686
[39,] 0.52719215 0.59022213 0.65565866 1.15513283 1.00258481 1.33853568
[40,] 0.28951510 0.31396378 0.46206605 0.83900458 0.68098337 0.91200532
[41,] 0.42045223 0.42267443 0.57505019 0.97642241 0.96848044 1.21189355
[42,] 0.43691344 0.41035819 0.71728238 1.14294542 1.36400202 1.60680788
[43,] 0.86455149 0.76198267 1.17616481 1.70342755 1.91269245 2.13474038
[44,] 0.32145979 0.37944548 0.62380485 0.95240262 1.05562477 1.16416124
[45,] 0.32761520 0.35947655 0.57207981 0.85321864 0.90114855 0.95008793
[46,] 0.20323433 0.33495656 0.51508982 0.74904251 0.74446549 0.74011430
[47,] 0.33369643 0.49337259 0.69517571 0.94178976 1.23534098 1.14216166
[48,] 0.57086183 0.76128479 0.98502856 1.24301740 1.53607708 1.30787060
[49,] 0.31360696 0.41483627 0.53432645 0.67292881 0.83142349 0.59211050
[50,] 0.25965411 0.31960653 0.38721340 0.46276305 0.54655244 0.25909702
           [,21]      [,22]     [,23]     [,24]     [,25]     [,26]     [,27]
 [1,] 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [2,] 0.74908707 0.63802954 0.5398131 0.4533067 0.3774912 0.3114362 0.2542823
 [3,] 1.74688338 1.47536461 1.8344823 1.5583697 1.9355410 1.6523592 1.3975177
 [4,] 2.07335902 1.70570669 1.9096138 1.5667686 1.7646423 1.4420305 1.1605910
 [5,] 1.84620325 1.45576563 1.5274464 1.1888552 1.2544739 0.9607211 1.0190618
 [6,] 1.69948176 1.68107110 1.6650459 1.6512338 1.6395040 1.2460382 1.2383717
 [7,] 0.49504158 0.64533291 1.0935948 1.7065219 1.6173613 1.1904837 1.1219078
 [8,] 0.68931766 0.81493864 1.2322352 1.7664927 1.6080344 1.1483805 1.0309503
 [9,] 0.36586163 0.57120980 0.8414284 1.1841299 1.0178543 0.8686968 0.7352730
[10,] 0.37500657 0.54074337 0.7486454 1.0030367 1.0447368 0.8559362 0.6919095
[11,] 0.51554278 0.67418969 0.8609523 1.0781733 1.0715956 1.0657498 0.8403862
[12,] 0.28414323 0.36501439 0.6023478 0.7326433 0.8802443 0.8356962 0.6194155
[13,] 0.14683495 0.18326591 0.3089895 0.4862014 0.5657803 0.5069762 0.4524363
[14,] 0.15317265 0.17721095 0.2788498 0.4161462 0.5946841 0.5086866 0.4317232
[15,] 0.04917316 0.05463449 0.1299201 0.1953314 0.2819154 0.2198485 0.1684494
[16,] 0.05241154 0.05340013 0.1168126 0.1648072 0.2256453 0.1634879 0.1152400
[17,] 0.16721579 0.15751799 0.3628973 0.4451138 0.5388535 0.3980378 0.2858338
[18,] 0.31055530 0.27780198 0.5431549 0.7717624 0.8691659 0.9746424 0.7292605
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[26,] 0.47721756 0.26009899 0.085700368 0.09412800
[27,] 0.27155166 0.20221598 0.045964979 0.02590271
[28,] 0.39398618 0.28507146 0.066517719 0.03410368
[29,] 0.55309391 0.39139336 0.094103343 0.04439466
[30,] 0.50442200 0.31044595 0.048984378 0.05719094
[31,] 0.45785795 0.24069690 0.070599031 0.07297224
[32,] 0.41321537 0.33643625 0.099717061 0.09229264
[33,] 0.58286951 0.45948572 0.138241341 0.11579343
[34,] 0.52960014 0.36331890 0.188389615 0.14421977
[35,] 0.28948843 0.27908757 0.252736209 0.17844275
[36,] 0.13453386 0.20650103 0.141933914 0.04096760
[37,] 0.21481763 0.29828707 0.195384004 0.05322756
[38,] 0.08651485 0.21738640 0.097813684 0.06878055
[39,] 0.06551270 0.31745645 0.139364680 0.08846398
[40,] 0.11528759 0.45389556 0.195891782 0.11334702
[41,] 0.19524690 0.63707244 0.272050984 0.14481607
[42,] 0.15274634 0.49023694 0.373943951 0.18470559
[43,] 0.26100185 0.70246435 0.509758127 0.23550708
[44,] 0.20275121 0.53274515 0.267685645 0.30072024
[45,] 0.14495398 0.37195848 0.091895676 0.38548114
[46,] 0.27305635 0.58647284 0.145753939 0.49777983
[47,] 0.50327891 0.92102788 0.232545512 0.65108688
[48,] 0.92102788 1.45992189 0.377566684 0.87095150
[49,] 0.23254551 0.37756668         NaN        NaN
[50,] 0.65108688 0.87095150         NaN        NaN

$hypermat2
            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
 [1,] 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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[11,] 1.59948758 0.9433979 2.2215503 2.6265890 1.7037407 1.1352554 2.5178635
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[16,] 1.19732826 1.5487387 2.7161873 2.2593885 1.4979700 0.7326514 1.7194627
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[34,] 0.41248972 0.7805390 2.2309270 1.5071279 1.1251076 1.2136183 1.2984010
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[49,] 0.03874083 0.4305573 0.8306253 1.2392999 1.6569596 2.0840086 2.5208788
[50,] 0.01816397 0.2018489 0.3893611 0.5808635 0.7765295 0.9765444 1.1811057
           [,8]       [,9]      [,10]     [,11]     [,12]     [,13]     [,14]
 [1,] 0.0000000 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000
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[10,] 2.1287585 2.12047586 2.12273373 2.1330910 1.7252653 2.1724106 1.7886505
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[12,] 2.0741831 1.88263056 2.14998941 2.4251503 1.8399160 2.0981437 1.6066811
[13,] 1.8309181 1.58854345 1.75555873 1.9250219 1.3797727 1.5363240 1.1029815
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[15,] 1.8272147 1.44914429 1.46644719 1.8332990 1.5094034 1.5343127 1.2733972
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[19,] 1.4839301 0.96660287 1.04591656 1.1242729 0.9623317 1.0371065 0.7101683
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[49,] 1.5135566 1.84948395 1.21698267 1.4913502 1.7874655 1.2550927 0.4732791
[50,] 1.3904250 1.60472891 1.82426070 2.0492818 2.2800738 2.5169405 0.5677398
          [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
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[29,] 0.4335763 0.16293827 0.18388550 0.20620140 0.49290446 0.33264943
[30,] 0.3175215 0.10180060 0.15074479 0.21537931 0.48959719 0.31267857
[31,] 0.2248424 0.05986249 0.08657429 0.12148048 0.29468803 0.22187334
[32,] 0.1099280 0.02117684 0.03029206 0.04219442 0.11756904 0.10889658
[33,] 0.1394047 0.02601378 0.03393864 0.04348717 0.11384855 0.09819812
[34,] 0.1750633 0.04818310 0.05677009 0.06619652 0.15334177 0.17283682
[35,] 0.3853000 0.16996984 0.18118669 0.19242308 0.36137992 0.37897095
[36,] 0.4674224 0.26980633 0.26944873 0.26862575 0.46152805 0.58707271
[37,] 0.2465049 0.11838306 0.11015820 0.10203111 0.18985816 0.24273823
[38,] 0.2232408 0.13890296 0.12014553 0.14868802 0.25127492 0.29974764
[39,] 0.2773540 0.16251720 0.13062210 0.15074268 0.24177946 0.27274439
[40,] 0.4618633 0.26666931 0.20338616 0.21715355 0.31944373 0.33768425
[41,] 0.7418062 0.42489324 0.31030740 0.30917409 0.42012073 0.41781848
[42,] 1.1576154 0.66092295 0.46578119 0.58640298 0.72697150 0.68621996
[43,] 0.8691169 0.42636268 0.26130005 0.32300704 0.39433824 0.34215951
[44,] 0.8266241 0.35636208 0.28414227 0.32880998 0.37797016 0.30120940
[45,] 0.5635892 0.18592972 0.12693564 0.22037716 0.23857343 0.16498787
[46,] 1.0156728 0.50711480 0.33770898 0.50239467 0.49964775 0.49663114
[47,] 0.9783427 0.40713783 0.22693913 0.33528035 0.30248712 0.27155166
[48,] 1.9372804 1.17786930 0.65911807 0.84779450 0.71115026 0.59056260
[49,] 1.4338382 0.64913679 0.79733909 0.96647175 0.70760751 0.50119974
[50,] 1.6588230 0.44425703 0.52165039 0.60774440 0.29555958 0.35280349
           [,28]      [,29]      [,30]      [,31]      [,32]      [,33]
 [1,] 0.61248928 0.57625343 0.54128483 0.50749783 0.47481519 0.44316698
 [2,] 1.74844209 1.55517248 1.37535467 1.20843105 1.90988003 1.70289025
 [3,] 2.52697885 2.19362419 1.88779690 2.36338558 2.94423563 2.57486807
 [4,] 2.48594934 2.08473816 1.72505486 1.96153556 2.23021599 1.84903143
 [5,] 1.95483651 1.55866056 1.21649272 1.29194790 1.37366892 1.05304614
 [6,] 2.60345285 2.07074602 1.60993445 2.07841860 2.08753220 1.61623686
 [7,] 1.37627962 0.99365015 0.93330756 1.16502925 1.44000287 1.03593942
 [8,] 0.92190092 0.61098863 0.53379954 0.85837624 1.30905797 0.90012946
 [9,] 1.05167931 0.68613658 0.57185619 0.84482615 1.20451285 0.79174136
[10,] 0.72499979 0.43038613 0.32934777 0.47645657 0.66904415 0.38436893
[11,] 0.49433418 0.26349824 0.18237451 0.25572951 0.35036218 0.24590525
[12,] 0.58433978 0.30858871 0.28602803 0.48492601 0.77322123 0.56188704
[13,] 0.40182711 0.18831397 0.16105421 0.27105022 0.43200850 0.27881154
[14,] 0.09686805 0.03146759 0.03674558 0.06561207 0.11110461 0.08475544
[15,] 0.12647615 0.04100331 0.04349488 0.06972767 0.10777062 0.11240502
[16,] 0.11382112 0.03378008 0.03275911 0.04881615 0.07087549 0.10057951
[17,] 0.14409930 0.04263332 0.03803511 0.05142751 0.06839028 0.08964138
[18,] 0.17842170 0.11085600 0.09424759 0.11375969 0.13620504 0.16195747
[19,] 0.15983937 0.09198078 0.07221273 0.08144331 0.09133670 0.10192154
[20,] 0.07173462 0.03461841 0.03649018 0.03820827 0.03974602 0.04107467
[21,] 0.06309761 0.02765674 0.02673914 0.03922196 0.03751884 0.03558472
[22,] 0.15473320 0.07272884 0.09441825 0.12089319 0.10992796 0.09914593
[23,] 0.09879256 0.05884099 0.10180060 0.12152048 0.10323437 0.16963677
[24,] 0.12079644 0.09737940 0.15074479 0.16728026 0.13514070 0.27226039
[25,] 0.07500070 0.05481248 0.08281973 0.12148048 0.08984423 0.18009293
[26,] 0.17422452 0.12600577 0.16925714 0.22340895 0.16234662 0.28561547
[27,] 0.15315141 0.14189630 0.17842286 0.22187334 0.15122911 0.25376622
[28,] 0.31640192 0.28216339 0.32702904 0.37715832 0.25637664 0.38759502
[29,] 0.21383939 0.23691365 0.34150917 0.37430338 0.23969846 0.34666801
[30,] 0.18752370 0.19655671 0.27314563 0.28476418 0.16459138 0.30820208
[31,] 0.16300713 0.16079739 0.21440667 0.21092278 0.10808696 0.20233391
[32,] 0.14023782 0.17803402 0.22321581 0.20690802 0.09768724 0.17476487
[33,] 0.11918294 0.14329307 0.17087563 0.14713682 0.05945951 0.10514595
[34,] 0.19380041 0.21633674 0.24057300 0.19716547 0.07749714 0.12557277
[35,] 0.39684393 0.41505964 0.43368678 0.34705718 0.14323697 0.20836758
[36,] 0.58440067 0.58155213 0.57851036 0.44687539 0.18090731 0.24477592
[37,] 0.30583015 0.28564262 0.26578844 0.24622955 0.11244252 0.14664945
[38,] 0.35462179 0.31280798 0.27389609 0.23773749 0.09741800 0.11920100
[39,] 0.41104909 0.34257413 0.28179788 0.31533493 0.12458331 0.20426377
[40,] 0.47683563 0.50104182 0.39509456 0.41536382 0.22895645 0.33670033
[41,] 0.55434641 0.55132685 0.40864067 0.40475868 0.20125936 0.28329099
[42,] 0.84283562 0.79800783 0.57194117 0.53590188 0.25519275 0.33420781
[43,] 0.41594513 0.36056996 0.30977261 0.26329344 0.14459329 0.27412453
[44,] 0.34664125 0.39690325 0.31505888 0.24483692 0.11579986 0.21559322
[45,] 0.27712758 0.29760444 0.31898217 0.22298431 0.08707989 0.15921693
[46,] 0.70997488 0.70647222 0.70296905 0.48153964 0.19191592 0.30569926
[47,] 0.39398618 0.55309391 0.50442200 0.45785795 0.41321537 0.58286951
[48,] 0.76609290 0.97560139 0.82509481 1.04825708 0.88963661 1.12950420
[49,] 0.62518503 0.76987316 0.93729797 1.12967905 0.83892021 1.02169263
[50,] 0.41787530 0.49150826 0.57451332 0.66779770 0.31920326 0.38117081
           [,34]      [,35]      [,36]      [,37]     [,38]     [,39]     [,40]
 [1,] 0.41248972 0.38272562 0.35382187 0.32573014 0.2984060 0.2718087 0.2459005
 [2,] 1.50811827 1.32527353 1.15413909 0.99456910 1.7258642 1.5144724 1.3136883
 [3,] 2.23092704 2.84828612 2.47647934 2.12869415 2.8123857 2.4261541 2.0626183
 [4,] 1.50712791 1.74544511 2.02571455 1.64936649 1.9403533 2.2979066 1.8668071
 [5,] 0.78271378 0.83864935 0.89990957 0.64655094 0.6959419 1.1292526 0.8127389
 [6,] 1.21361831 1.21460844 1.21701422 0.86994647 1.2269020 1.7090921 1.2457714
 [7,] 0.71098210 0.65907165 0.60825500 0.55836938 1.0333609 1.3359546 1.2682478
 [8,] 0.58319335 0.50357014 0.42967732 0.52455971 0.8874052 1.0701601 0.9460639
 [9,] 0.48368617 0.38853277 0.30526735 0.34589843 0.5584980 0.8706921 0.7153838
[10,] 0.19753527 0.13764010 0.14369554 0.22647656 0.3465107 0.5172793 0.7573271
[11,] 0.10987735 0.10519515 0.15327940 0.31646306 0.4352528 0.7998052 1.0616527
[12,] 0.28455595 0.25962303 0.33190781 0.57083074 0.7115238 1.1474617 1.4136952
[13,] 0.16827086 0.13974507 0.16876593 0.28881591 0.4723267 0.7438040 0.8751679
[14,] 0.04017829 0.04536969 0.05089415 0.08846545 0.2158243 0.4664470 0.5179349
[15,] 0.05177206 0.05325206 0.05441543 0.08550427 0.2717066 0.5271921 0.7316465
[16,] 0.06489041 0.06138191 0.05753228 0.08220657 0.3342726 0.5902221 0.7673861
[17,] 0.05294589 0.06970421 0.09074306 0.11701862 0.4035844 0.6556587 0.8031103
[18,] 0.09563067 0.11423511 0.13571235 0.22542268 0.6255588 0.9221096 1.0654953
[19,] 0.05258281 0.05841322 0.06453019 0.10533222 0.3210806 0.6184070 0.6809834
[20,] 0.01704173 0.01717406 0.02772113 0.04361837 0.1463420 0.2939323 0.3022366
[21,] 0.01316911 0.01193263 0.02849986 0.06268319 0.2529213 0.4459428 0.4367302
[22,] 0.04041026 0.03458774 0.06818412 0.17895030 0.5311652 0.8198963 0.7813144
[23,] 0.07135269 0.05772656 0.10050984 0.23190543 0.6157115 0.8939709 1.0271494
[24,] 0.11843304 0.09162528 0.14322159 0.29488536 0.7082781 0.9720510 1.0677728
[25,] 0.09581718 0.09830816 0.19818035 0.36889279 0.8094580 1.0545503 1.3653579
[26,] 0.20952910 0.20368285 0.35477192 0.58471492 1.1325310 1.3932596 1.7123363
[27,] 0.17283682 0.15673053 0.26559656 0.42959036 0.8400892 1.0033540 1.1993985
[28,] 0.26093041 0.22629821 0.35035819 0.52499902 0.9542180 1.0893968 1.5224618
[29,] 0.28944660 0.23767128 0.34750589 0.63509066 1.0796088 1.1815006 1.5809141
[30,] 0.24057300 0.18276813 0.25751450 0.46802580 0.7956832 0.8329902 1.3516240
[31,] 0.14242571 0.13714514 0.18486740 0.33299788 0.5648584 0.5588420 0.9142899
[32,] 0.11248217 0.09994542 0.12773288 0.22693566 0.3826550 0.3519068 0.5793025
[33,] 0.08684235 0.07032337 0.12371425 0.20788467 0.3353425 0.3918804 0.6078073
[34,] 0.09687809 0.07260321 0.11918606 0.18906350 0.2908805 0.4357059 0.8267881
[35,] 0.15488632 0.11106272 0.23325761 0.33212685 0.4642668 0.6389095 1.1019854
[36,] 0.17130382 0.11412572 0.22643519 0.41472704 0.5437129 0.7066942 1.1584694
[37,] 0.13156113 0.07734195 0.15211339 0.27862742 0.4794782 0.7821817 1.2203129
[38,] 0.14483654 0.07800980 0.21028398 0.35251566 0.5639677 0.8668847 1.2886556
[39,] 0.22931840 0.12043963 0.28726732 0.44380546 0.8668847 1.2278909 1.7030576
[40,] 0.35339250 0.18229567 0.38864335 0.55689607 1.0138336 1.7030576 2.6870325
[41,] 0.27762355 0.12113922 0.26417640 0.37006932 0.6946014 1.1997518 1.9394468
[42,] 0.30578380 0.18649848 0.36472475 0.47367202 0.8266808 1.3495644 2.0880945
[43,] 0.22839491 0.11727097 0.23403256 0.29139642 0.5245531 0.8819850 1.4017783
[44,] 0.15911180 0.06449650 0.13199061 0.15396124 0.2885824 0.5050265 0.8333968
[45,] 0.09957002 0.02859927 0.06037191 0.06313186 0.1247673 0.2307234 0.4019472
[46,] 0.18065993 0.09573506 0.16671678 0.15859171 0.2667110 0.4288736 0.6630381
[47,] 0.52960014 0.28948843 0.42773293 0.37883298 0.5538476 0.7885062 1.0972400
[48,] 0.96172601 0.49688839 0.66645913 0.53777416 0.7252992 0.9626698 1.2603622
[49,] 0.74523219 0.51688156 0.65414094 0.81958456 1.0179636 1.2550332 1.5379333
[50,] 0.45265697 0.17844275 0.21948909 0.26858173 0.3271962 0.3971407 0.4806721
          [,41]     [,42]     [,43]     [,44]     [,45]     [,46]      [,47]
 [1,] 0.2206467 0.1960149 0.1719753 0.1485000 0.1255632 0.1031408 0.08121006
 [2,] 1.1236155 0.9444825 1.9126909 1.6513812 1.3961356 1.1466790 0.90275452
 [3,] 1.7223159 1.4061009 2.0562318 1.6780540 1.3227725 0.9928634 0.69216636
 [4,] 2.2593374 2.7829266 3.5310687 2.9133097 2.3269204 1.7751480 1.26334756
 [5,] 1.3440176 1.4833655 1.6560675 1.1884561 0.7900266 0.8876802 0.51057794
 [6,] 1.7834086 1.8361528 1.9045026 1.3352086 0.8576462 0.8609756 0.45458623
 [7,] 1.6611934 2.1891810 2.1485084 1.4760210 0.9193865 0.8411098 0.40900891
 [8,] 1.1562388 1.4226351 1.2745201 0.7575072 0.9774041 0.8254863 0.37039171
 [9,] 0.8140641 0.9319735 0.7533211 0.3754182 0.4324381 0.5037463 0.33677777
[10,] 0.8041733 0.8575992 0.6449263 0.4574562 0.7388290 0.8019325 0.53837349
[11,] 1.0700796 1.0810848 0.7927426 0.7919321 1.1403870 1.1766136 0.79512664
[12,] 1.3684169 1.3239061 0.9508831 0.8987020 1.1932561 1.1501008 0.71849851
[13,] 1.0336860 1.2284330 0.8293099 0.7262993 0.8950747 1.1275481 1.00187602
[14,] 1.0191516 1.1447961 0.7255172 0.5868000 0.6675291 1.1081135 0.91082055
[15,] 1.2885211 1.3780812 0.8645515 0.6715385 0.7134541 1.0911885 0.83072141
[16,] 1.2688474 1.2916375 0.7619827 0.5460870 0.7595731 1.0763220 0.75938090
[17,] 1.2516866 1.2137676 0.8994785 0.6238049 0.8060939 1.0631720 0.69517571
[18,] 1.5401591 1.4446894 1.0485284 0.9524026 1.1541502 1.4302904 0.94178976
[19,] 0.9684804 0.8359012 0.5210403 0.4125396 0.6531875 0.7444655 0.58354581
[20,] 0.4264289 0.3179441 0.2236466 0.1447828 0.3367937 0.3402701 0.34066874
[21,] 0.5699869 0.4143403 0.4004828 0.2636480 0.5275863 0.5108283 0.48896359
[22,] 0.9491473 0.7009441 0.6581738 0.4413947 0.7813670 0.7319510 0.67601932
[23,] 1.1851486 0.8604704 0.7760403 0.5034792 0.8264941 0.7280818 0.90552296
[24,] 1.1785075 0.8138116 0.6910462 0.4094172 0.6389079 0.5048816 0.83764745
[25,] 1.4477613 0.9883939 0.8118369 0.4673352 0.9215245 0.7206497 1.09905354
[26,] 1.7542077 1.1863390 0.9460950 0.5304830 0.9718953 0.7170465 1.02233430
[27,] 1.4374944 1.1296555 0.8493151 0.4319875 0.7625765 0.4966311 0.65770619
[28,] 1.7461655 1.3472659 0.9885426 0.4912913 0.8074535 0.4933315 0.60409897
[29,] 2.0977893 1.5929929 1.1437003 0.7560677 1.1379101 0.7064722 0.81657997
[30,] 1.7471111 1.2308402 0.7964703 0.4524893 0.6620711 0.4858099 0.50442200
[31,] 1.1582455 0.9248957 0.5258628 0.3615942 0.4995865 0.3162973 0.28413819
[32,] 0.9176146 0.8777076 0.6280246 0.4134659 0.5322797 0.3112894 0.25099961
[33,] 0.9167639 0.8316095 0.7455390 0.4713489 0.5669309 0.3056993 0.37034392
[34,] 1.1636807 1.0209967 0.8805969 0.5360635 0.6038350 0.2994747 0.32912817
[35,] 1.4597216 1.2437987 1.0358617 0.6086176 0.6433526 0.4602039 0.47794386
[36,] 1.4712533 1.1915251 0.9307048 0.4888339 0.6859302 0.4535319 0.67465709
[37,] 1.4855232 1.4521975 1.1000623 0.5581933 0.7321269 0.4461675 0.61375740
[38,] 1.5029942 1.7614015 1.2976913 0.6373100 0.7826542 0.4379965 0.85843746
[39,] 1.8982061 2.1290959 1.9389150 1.0078931 1.1657412 0.6679193 1.17447989
[40,] 2.8795326 3.1073823 2.7924642 1.5253511 1.6798803 0.9850650 1.57714797
[41,] 1.9897273 2.0516187 2.1288913 0.9565592 0.9710406 0.6577467 1.02017835
[42,] 2.0516187 2.0202782 1.9950693 1.1026221 1.0518039 0.6519289 0.94260553
[43,] 1.2763508 1.1522770 1.4091249 0.6067003 0.4931272 0.3780086 0.50631713
[44,] 0.9565592 0.7763846 1.2787418 0.4484338 0.8476086 0.6379917 0.78227212
[45,] 0.4293521 0.2727013 0.4931272 0.3036591 0.5757829 0.3372199 0.69686145
[46,] 0.6577467 0.3935811 0.6454228 0.6379917 1.0409630 0.6186736 1.10264347
[47,] 1.0201783 0.5783530 0.8636727 0.7822721 1.1844447 0.6051287 1.01613598
[48,] 1.0660404 0.4902369 0.7024643 0.5327451 0.7891272 0.5864728 0.92102788
[49,] 1.1497731 0.3739440 0.5097581 0.2676856 0.3863675 0.5573042 0.80866091
[50,] 0.5806688 0.7008982 0.8464442 0.3007202 0.3854811 0.4977798 0.65108688
          [,48]      [,49]      [,50]
 [1,] 0.0597500 0.03874083 0.01816397
 [2,] 0.6641222 0.43055727 0.20184892
 [3,] 1.2813625 0.83062526 0.38936113
 [4,] 1.9120308 1.23929987 0.58086349
 [5,] 0.5640954 0.22064510 0.03088303
 [6,] 0.4178412 0.36299405 0.05555510
 [7,] 0.6575254 0.53633518 0.08869975
 [8,] 0.5032995 0.73788958 0.13057415
 [9,] 0.3903710 0.46340295 0.18129020
[10,] 0.5758626 0.62620997 0.24087859
[11,] 0.8006194 0.81287963 0.30933129
[12,] 0.6411389 1.02270568 0.38662960
[13,] 0.8634719 1.25509271 0.47276264
[14,] 0.7022714 0.87976832 0.56773975
[15,] 0.9243859 1.08134612 0.67159885
[16,] 0.7612848 1.30469785 0.78441245
[17,] 0.6254554 0.94450594 0.38721340
[18,] 0.8196533 1.14346395 0.46276305
[19,] 0.6794704 0.83142349 0.21146465
[20,] 0.3352656 0.31698886 0.08200176
[21,] 0.4583756 0.41025943 0.10487849
[22,] 0.6090553 0.52054218 0.13215801
[23,] 0.7896808 0.64913679 0.16433411
[24,] 0.6591181 0.79733909 0.20192410
[25,] 0.8477945 0.96647175 0.24547304
[26,] 0.7111503 0.70760751 0.29555958
[27,] 0.9093323 0.86391182 0.35280349
[28,] 1.1425855 1.04269232 0.41787530
[29,] 1.4139732 1.24577409 0.49150826
[30,] 1.2225170 0.93729797 0.57451332
[31,] 0.6896181 0.37193686 0.26565574
[32,] 0.5680379 0.23681885 0.09229264
[33,] 0.7454388 0.31144722 0.11579343
[34,] 0.6147419 0.40379867 0.14421977
[35,] 0.8076237 0.51688156 0.17844275
[36,] 1.0442274 0.65414094 0.21948909
[37,] 0.8787197 0.43650017 0.05322756
[38,] 1.1414586 0.56356051 0.06878055
[39,] 1.4639710 0.72044009 0.08846398
[40,] 1.8576673 0.91326802 0.11334702
[41,] 1.0660404 1.14977315 0.14481607
[42,] 0.8802315 0.80604070 0.18470559
[43,] 0.3549660 0.50975813 0.23550708
[44,] 0.5327451 0.69086097 0.30072024
[45,] 0.7891272 0.93378924 0.38548114
[46,] 1.1600498 1.26416354 0.49777983
[47,] 0.9210279 1.72527228 0.65108688
[48,] 0.6664004 1.19394528 0.87095150
[49,] 1.1939453 1.83711945 1.21604642
[50,] 0.8709515 1.21604642        NaN

$Pdiff
      [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
 [1,]  NaN       NaN       NaN       NaN       NaN       NaN       NaN
 [2,]  NaN       NaN 0.0000000 0.6311326 0.0000000 0.0000000 0.0000000
 [3,]  NaN       NaN 0.0000000 1.0126485 0.8800653 0.3626568 0.3601030
 [4,]  NaN       NaN 0.0000000 0.9810018 0.8430846 0.3196378 0.3167483
 [5,]  NaN       NaN 0.0000000 0.8430846 0.7444326 0.2911159 0.2879065
 [6,]  NaN 0.6244329 0.8704199 1.2101238 1.0876446 0.0000000 0.2541987
 [7,]  NaN 0.5005100 1.9554181 2.2257484 2.0035509 0.5512842 0.2400286
 [8,]  NaN 0.4991458 1.9417277 1.5712900 1.4177030 0.2413995 0.4940045
 [9,]  NaN 0.4981371 1.2653784 1.4794342 1.3371750 0.4998791 1.0832865
[10,]  NaN 0.4973645 0.7275867 0.9829551 0.8922227 0.2223152 1.0420065
[11,]  NaN 0.4967570 0.7254271 0.9784364 0.5285973 0.2150594 0.6919156
[12,]  NaN 0.4962697 0.7237064 0.9748559 0.5264003 0.2140110 0.6730254
[13,]  NaN 0.0000000 0.3115169 0.5755813 0.5073623 0.2080477 0.6567459
[14,]  NaN 0.0000000 0.3110479 0.5742324 0.5058680 0.2073401 0.6534349
[15,]  NaN 0.4142406 1.0932604 1.2991821 1.1343671 0.1986246 1.2087269
[16,]  NaN 0.4139799 1.0917102 1.2964941 1.1314751 0.1981145 1.2038259
[17,]  NaN 0.4137621 1.0904203 1.7361526 1.5063324 0.4264201 1.5245887
[18,]  NaN 0.9449340 1.5864037 2.2222477 1.8808595 0.6745138 1.8471897
[19,]  NaN 0.9445345 1.5849960 1.6985971 1.8484698 0.6565250 1.8024060
[20,]  NaN 0.9442060 1.5838428 1.6967604 1.8233251 0.6492618 1.4335692
[21,]  NaN 0.9439406 1.5829143 1.2411809 1.4073149 0.3988828 0.8341262
[22,]  NaN 0.9437319 1.5821881 1.2403658 1.4060246 0.6427927 1.1086128
[23,]  NaN 0.9435753 2.1470653 1.6708336 1.8017264 1.2259427 1.7439865
[24,]  NaN 0.4053436 1.5634053 1.2266280 1.3941561 0.9125455 1.4048301
[25,]  NaN 0.4053192 1.5631867 0.8412160 1.0327863 0.6353096 1.0981641
[26,]  NaN 0.0000000 1.0619085 0.5108630 0.4388061 0.1809489 0.8214903
[27,]  NaN 0.0000000 1.5811061 1.2391751 1.0386880 0.9123083 1.7420582
[28,]  NaN 0.0000000 1.5813403 1.2394257 1.0389729 0.3954930 1.1068490
[29,]  NaN 0.0000000 1.5817414 1.2398677 1.0394760 0.3957019 1.1076696
[30,]  NaN 0.0000000 2.1850606 1.6943507 1.8197240 0.9253697 1.7646131
[31,]  NaN 0.0000000 2.1861470 1.2611099 1.4222937 0.6548319 1.4426214
[32,]  NaN 0.0000000 2.1875286 1.2621764 1.4239918 0.6556857 1.4452675
[33,]  NaN 0.0000000 2.2539014 0.8979878 0.4661408 0.0000000 0.3788378
[34,]  NaN 0.0000000 2.3528718 0.9271218 0.4763044 0.1974136 0.6249487
[35,]  NaN 0.0000000 2.3552506 0.9283064 0.4770713 0.4347042 1.2203678
[36,]  NaN 0.4950905 0.7705325 0.0000000 0.2258102 0.0000000 0.6614727
[37,]  NaN 0.4953251 0.7713061 0.0000000 0.5048686 0.2120378 0.6780247
[38,]  NaN 0.4956065 0.3537807 0.2745622 0.8451695 0.4720462 0.1970978
[39,]  NaN 0.4959460 0.3542113 0.2751010 0.8478542 0.4736875 0.1978754
[40,]  NaN       NaN 2.2658101 0.6742543 0.0000000 0.2273945 1.0578403
[41,]  NaN       NaN 2.2700001 1.7947663 0.0000000 0.2474385 1.1422570
[42,]  NaN       NaN 1.7333728 1.2930205 0.0000000 0.0000000 0.5276124
[43,]  NaN       NaN 1.1763841 0.0000000 1.2642692 1.1240441 0.2592933
[44,]  NaN       NaN 1.1791498 0.0000000 1.2709208 1.1311894 0.0000000
[45,]  NaN       NaN 0.5961276 0.0000000 1.4469152 1.2608700 0.0000000
[46,]  NaN       NaN 0.5979501 0.5891693 0.9433259 0.8076709 0.3046231
[47,]  NaN       NaN       NaN       NaN 1.1571078 0.9442350 0.0000000
[48,]  NaN       NaN       NaN       NaN 0.0000000 0.0000000 1.1591398
[49,]  NaN       NaN       NaN       NaN       NaN       NaN       NaN
[50,]  NaN       NaN       NaN       NaN       NaN       NaN       NaN
           [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
 [1,]       NaN       NaN       NaN       NaN       NaN       NaN       NaN
 [2,] 0.4991458 0.4981371 0.4973645 0.4967570 0.4962697 0.0000000 0.0000000
 [3,] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.3286717 0.0000000
 [4,] 0.6845625 0.0000000 0.0000000 0.2651222 0.2642959 0.9355400 0.5559006
 [5,] 0.9979061 0.2559694 0.5313787 0.0000000 0.0000000 0.2219416 0.0000000
 [6,] 0.8781145 0.2309646 0.4807880 0.0000000 0.0000000 0.4398466 0.1992455
 [7,] 0.2285918 0.2191404 0.2058540 0.7079736 0.7032869 1.2892200 0.9464761
 [8,] 0.0000000 0.4513217 0.1932219 0.6606347 0.9304816 1.1792054 0.8694933
 [9,] 0.4394802 0.9873798 0.6419545 1.1933150 1.4971447 1.7588549 1.3989465
[10,] 0.6816601 1.2599025 0.8802842 1.4574392 1.7686147 1.6671949 1.3103977
[11,] 0.1846777 0.1757794 0.0000000 0.5607099 0.7837622 0.7488389 0.5151131
[12,] 0.3871886 0.3679913 0.3481777 1.0234417 1.2763998 1.2188337 0.9357447
[13,] 0.3789633 0.3603988 0.3413658 1.0003924 1.2459644 1.1902571 0.6874609
[14,] 0.3768566 0.3581414 0.3388807 0.9913399 1.2338978 0.9228567 0.4786032
[15,] 0.8405272 0.7959096 0.7514181 1.8081841 2.4221827 1.9737314 1.6130474
[16,] 0.8367717 0.5530030 0.5234772 1.4822840 2.0497995 1.3655073 1.0747897
[17,] 1.1048927 0.5449137 0.5163061 1.1791046 1.4035471 0.8581196 0.6303977
[18,] 1.0757709 0.5329480 0.5023004 1.1452579 1.6313188 1.0559408 0.6131397
[19,] 1.0528695 0.5232211 0.3087311 0.8852293 1.3288225 1.0341900 0.6019183
[20,] 0.7804516 0.3229901 0.1433487 0.8729929 1.0632332 1.0166819 0.4206686
[21,] 0.3392101 0.0000000 0.3031073 0.2909505 0.6293503 0.4286912 0.0000000
[22,] 1.2972884 0.7197106 0.3005936 1.0842520 1.5317447 1.4612329 0.7633701
[23,] 1.9250664 1.2066622 0.6750943 1.3234656 1.7939297 0.9865753 0.4096968
[24,] 1.5908042 0.9472728 0.4753314 1.3153839 1.7816486 0.7780032 0.2576289
[25,] 1.2858394 0.7129154 0.2978147 0.8442424 1.2559561 0.4193867 0.1216396
[26,] 0.7576717 0.4999557 0.1394917 0.6373435 1.0189175 0.2643060 0.2566924
[27,] 1.5901451 1.1937972 0.6702712 1.3090344 1.7659611 0.7767628 0.1215344
[28,] 1.0148012 0.7102682 0.2980162 1.0701726 1.7702849 0.7800393 0.1218543
[29,] 0.7652248 0.5030478 0.0000000 0.8513747 1.5091393 0.5958046 0.0000000
[30,] 1.3035129 0.9498103 0.3006954 1.3305715 2.0786147 0.9952234 0.2596640
[31,] 1.0335783 0.7244437 0.1425288 0.8669985 1.5321336 0.6047969 0.0000000
[32,] 1.0357701 0.7261833 0.1428612 0.8696771 1.5384526 0.6070974 0.1243395
[33,] 0.0000000 0.1527495 0.7027969 0.0000000 0.6368304 0.0000000 0.7865594
[34,] 0.1655042 0.1553078 0.7151606 0.0000000 0.6455271 0.1320930 0.6060699
[35,] 0.8342725 0.1584431 0.3215747 0.3101474 1.1044512 0.4550432 0.2761666
[36,] 0.3740175 0.1622522 0.7479274 0.1489367 0.1413197 0.2938899 1.3002645
[37,] 0.1779046 0.1668669 0.7692588 0.3281402 0.0000000 0.4804449 1.6044435
[38,] 0.0000000 0.5996457 1.0662109 0.5458295 0.3193536 0.9339202 1.9729493
[39,] 0.0000000 0.6033630 0.8125583 0.3448785 0.1527976 0.7229692 1.7155859
[40,] 0.6713746 0.1804191 0.1720800 0.5804822 0.7756491 0.1544466 0.5040456
[41,] 0.7127835 0.1890743 0.0000000 0.3803422 0.5807917 0.1640267 0.5330630
[42,] 0.2145228 0.1999646 0.4141686 0.0000000 0.6223597 0.3790267 0.3528075
[43,] 0.8416083 1.4898397 1.7930336 0.9964543 0.1880638 0.4009292 1.1477967
[44,] 0.5297578 1.1427844 1.4422400 0.7142847 0.0000000 0.1901732 0.6265097
[45,] 0.9603979 1.6789922 2.0079255 1.5161360 0.4516547 0.7222800 0.9730025
[46,] 0.6083931 1.3012576 1.2339122 0.8282431 0.0000000 0.2145553 0.2045681
[47,] 0.7246046 1.0627532 0.9915422 0.5802418 0.2543995 0.5503566 0.5110991
[48,] 0.4533387 0.0000000 0.0000000 0.0000000 0.0000000 0.3125488 0.2776838
[49,] 0.5975998 0.5967158 0.4648594 0.4642294 0.4637243 0.0000000 0.0000000
[50,]       NaN       NaN       NaN       NaN       NaN       NaN 0.0000000
          [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
 [1,]       NaN       NaN       NaN       NaN       NaN       NaN       NaN
 [2,] 0.4399938 0.9850899 1.6055139 1.6046038 1.6038480 0.9442359 0.9439645
 [3,] 0.6857208 1.6272343 1.5704125 1.5686734 1.0645749 0.2860248 0.2858825
 [4,] 1.2991821 2.2303019 2.1674611 1.6657012 1.2248415 0.2327890 0.2326123
 [5,] 0.4694504 1.0868850 1.0564696 0.7274637 0.4441127 0.2021022 0.2019009
 [6,] 0.6906924 1.3080769 1.2695400 0.9393394 0.6503163 0.3949927 0.0000000
 [7,] 1.5884031 2.3395012 2.2599278 1.8471897 1.4768930 1.1259033 0.5859538
 [8,] 1.4542760 2.1374663 2.0496556 1.3523778 1.0528695 0.7758162 0.3376501
 [9,] 2.0483460 2.7485709 2.6436074 1.8833783 1.5491710 1.2308316 0.9585972
[10,] 1.9149731 2.5713846 2.4817809 1.7732755 1.4607671 1.1635849 0.6842427
[11,] 0.9531638 1.4545455 1.4119832 0.8942473 0.6710761 0.4672992 0.4607951
[12,] 1.4365007 1.9915882 1.9316966 1.0899615 0.8544103 0.6364834 0.8260528
[13,] 1.1336958 1.9231627 1.8666459 1.0559408 0.8284284 0.6177796 0.8004511
[14,] 0.8796813 1.3251359 1.2874562 0.4384267 0.1290205 0.0000000 0.2648978
[15,] 2.1727979 2.7524722 2.6729221 1.4645489 0.9863189 0.7695055 1.1661213
[16,] 1.5545630 2.0649948 1.7222285 0.9756334 0.4128601 0.5699837 0.9283613
[17,] 1.0260814 1.4659010 1.1841592 0.4068274 0.0000000 0.1186629 0.3896547
[18,] 0.7876899 1.1867693 0.9423429 0.2516496 0.1179845 0.0000000 0.1148002
[19,] 0.7731523 1.1645113 1.1313434 0.3915991 0.0000000 0.1146017 0.2382624
[20,] 0.4103914 0.7411557 0.7226548 0.0000000 0.5337119 0.3754542 0.2350865
[21,] 0.1212892 0.5566333 0.5438521 0.1146361 0.6918643 0.6811826 0.5131924
[22,] 1.1435659 1.8173987 1.5258345 0.5295374 0.0000000 0.0000000 0.1097248
[23,] 0.7362364 1.3221611 1.2884067 0.3754784 0.1115893 0.1102355 0.0000000
[24,] 0.5576179 0.8997321 1.0725792 0.2369244 0.1110505 0.1097404 0.0000000
[25,] 0.2506462 0.7126674 0.8760921 0.1122631 0.2331296 0.2302828 0.0000000
[26,] 0.1185437 0.5419774 0.6959804 0.0000000 0.3668261 0.3622430 0.0000000
[27,] 0.3958745 0.7118148 0.8762553 0.1121999 0.2328825 0.2301094 0.1083902
[28,] 0.3969238 0.5438531 0.6991453 0.2368883 0.0000000 0.0000000 0.2285193
[29,] 0.2520289 0.3894428 0.5353188 0.1129177 0.1113740 0.0000000 0.2294840
[30,] 0.5618067 0.7202864 0.8886388 0.3770959 0.1119190 0.1106942 0.3635982
[31,] 0.4036158 0.5531990 0.7129103 0.2408426 0.0000000 0.1115239 0.1105718
[32,] 0.2564591 0.3966671 0.5466913 0.2425667 0.0000000 0.0000000 0.1115149
[33,] 0.2603972 0.1204207 0.0000000 0.1165862 0.2423693 0.2398195 0.1129265
[34,] 0.1246293 0.0000000 0.0000000 0.0000000 0.1164870 0.1153274 0.0000000
[35,] 0.4267550 0.2630491 0.2590371 0.4028321 0.2504488 0.2477052 0.3880031
[36,] 0.2750344 0.2690643 0.2648810 0.2604455 0.2560864 0.2530950 0.1188256
[37,] 0.4463431 0.6155656 0.6049679 0.7831524 0.7675329 0.9559093 0.7503260
[38,] 0.6499744 0.8380142 0.8224288 1.2537955 1.2246941 1.2097860 0.9761749
[39,] 0.4707612 0.6498700 0.6383805 1.0542174 1.2660372 1.2550901 1.0109288
[40,] 0.1433953 0.0000000 0.1384371 0.2924043 0.4557758 0.4522758 0.2812341
[41,] 0.1500543 0.1469369 0.0000000 0.1437175 0.4782761 0.4742602 0.2936430
[42,] 0.3381692 0.5310138 0.1527523 0.0000000 0.5069560 0.3152019 0.1452051
[43,] 0.3578923 0.1628636 0.1623150 0.3456845 1.0201471 0.7617526 0.7477656
[44,] 0.0000000 0.0000000 0.0000000 0.1681501 0.8079444 0.5633028 0.5580388
[45,] 0.1839555 0.1810511 0.1805700 0.1801761 0.8734466 0.6067569 0.6009035
[46,] 0.2003494 0.0000000 0.0000000 0.0000000 0.1930944 0.0000000 0.0000000
[47,] 0.0000000 0.2228003 0.2224308 0.2221259 0.4818020 0.2174101 0.2138326
[48,] 0.0000000 0.2659018 0.2655959 0.2653426 0.2651341 0.0000000 0.2564674
[49,] 0.3347294 0.0000000 0.0000000 0.0000000 0.0000000 0.3177356 0.7047493
[50,] 0.5152947 0.5150730 0.5148877 0.5147330 0.5146048 1.1381162 1.1378783
          [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
 [1,]       NaN       NaN       NaN       NaN       NaN       NaN       NaN
 [2,] 0.9437503 0.9435887 0.9434763 1.6328547 1.6328127 1.6328547 1.6329812
 [3,] 0.2857702 0.0000000 0.2899147 0.6819508 0.6819092 0.6819230 0.3091945
 [4,] 0.2324731 0.0000000 0.2338156 0.5256843 0.5256335 0.8738449 0.5363072
 [5,] 0.2017436 0.4391353 0.0000000 0.2022352 0.4421971 0.4456915 0.4505420
 [6,] 0.1813775 0.3919347 0.0000000 0.3954241 0.6418228 0.6468922 0.6533794
 [7,] 0.1679705 0.3594235 0.3580902 0.0000000 0.1670859 0.1676992 0.1685324
 [8,] 0.0000000 0.5356583 0.5333838 0.1554858 0.0000000 0.0000000 0.0000000
 [9,] 0.3163207 0.1473398 0.1466481 0.1465830 0.3133735 0.3139543 0.3148284
[10,] 0.3005936 0.1404189 0.1397026 0.0000000 0.1396091 0.1397767 0.0000000
[11,] 0.1352043 0.2860105 0.2845747 0.1337529 0.1338129 0.1339471 0.2852760
[12,] 0.4404730 0.1299710 0.1292872 0.0000000 0.0000000 0.1291009 0.0000000
[13,] 0.6010654 0.0000000 0.1254485 0.0000000 0.0000000 0.1249678 0.1252259
[14,] 0.1240069 0.4127918 0.5753436 0.5719726 0.5711195 0.4064874 0.7521403
[15,] 0.9426417 0.1202428 0.0000000 0.0000000 0.0000000 0.1186206 0.1187629
[16,] 0.7297027 0.0000000 0.1170040 0.1164150 0.1162528 0.0000000 0.0000000
[17,] 0.3861185 0.3833423 0.5339765 0.5316775 0.5311060 0.3791521 0.2406201
[18,] 0.1139160 0.6909783 1.0534859 1.0492588 1.0476709 0.8591840 0.6853941
[19,] 0.2364212 0.5185885 0.8488930 0.8457598 0.8445417 0.6728519 0.5147970
[20,] 0.2333360 1.2245628 1.6528697 1.6467082 1.6444144 1.4224058 1.2159324
[21,] 0.5090973 1.4184983 1.8671842 1.8604046 1.6237185 1.4050655 1.2015897
[22,] 0.1088970 0.8231801 1.1898785 1.1862869 0.9939869 0.8166292 0.6526400
[23,] 0.2276150 0.9964109 1.3850204 1.3803792 1.1764614 0.9881434 0.8135450
[24,] 0.2266308 1.1816773 1.1750103 1.1713979 0.9819080 0.8071314 0.6454634
[25,] 0.3558717 1.1780395 1.3730251 1.3687693 1.3675368 1.1686555 0.9840058
[26,] 0.3554810 1.1766041 1.3717244 1.1668774 0.9782416 0.6411609 0.6432987
[27,] 0.2260411 0.9881434 1.1718650 0.9802926 0.6411069 0.4908185 0.4925333
[28,] 0.0000000 0.6483536 0.8096506 0.6436193 0.2236633 0.1066034 0.1069341
[29,] 0.0000000 0.6515248 0.8138159 0.8116425 0.2246918 0.1071058 0.2258004
[30,] 0.0000000 0.6560208 0.6532019 0.4978908 0.0000000 0.0000000 0.1082064
[31,] 0.2308364 1.0132235 1.0088372 1.0063658 0.3591569 0.2285028 0.2294107
[32,] 0.2330031 1.0254131 1.2186223 1.2160901 0.5081871 0.2312299 0.0000000
[33,] 0.5208986 1.4572060 1.9237261 1.9193569 1.0337450 0.6764384 0.3704658
[34,] 0.2393285 0.8667508 1.2588928 1.2565028 0.6858503 0.2374913 0.0000000
[35,] 0.1155428 0.2421494 0.5339939 0.5329902 0.2409304 0.1145698 0.3829025
[36,] 0.1179407 0.3906558 0.7168639 0.9000699 0.5443638 0.0000000 0.2469539
[37,] 0.7435147 1.1368874 1.5937207 1.8442281 1.3511527 0.7345099 0.2528253
[38,] 0.9663157 1.1735286 1.6474089 1.6434265 1.3953831 0.9531689 0.4105561
[39,] 0.7928816 0.9925865 1.4520599 1.4487151 1.2081538 0.9872138 0.5954531
[40,] 0.2791105 0.4396780 0.8141982 0.8125514 0.6159564 0.4378368 0.1303706
[41,] 0.2920149 0.4595656 0.8529752 0.8503762 0.6432152 0.4561327 0.2873246
[42,] 0.1442928 0.4845797 0.9014643 0.6784785 0.4786272 0.2999855 0.1410235
[43,] 0.7413892 1.2289907 1.8105588 1.4952076 1.4923491 1.2092327 0.9534785
[44,] 0.3457794 0.7770108 1.3112871 1.0248470 1.0233139 1.0235051 1.3052891
[45,] 0.3709245 1.1242357 1.7727495 1.1171496 1.1162965 1.1194087 1.1199156
[46,] 0.1885592 0.1859552 0.6496319 0.4004042 0.3996850 0.1846286 0.1846869
[47,] 0.0000000 0.4548420 1.0645622 0.7358535 0.7347094 0.7358778 0.7360816
[48,] 0.5612473 0.0000000 0.5389775 0.2422468 0.2404320 0.2398546 0.2398993
[49,] 1.1624589 0.3017612 0.3017094 0.6764156 0.6763958 0.6853251 0.6854048
[50,] 1.1376920 0.0000000 0.0000000 0.4541773 0.4673342 0.4673421 0.4673659
          [,29]     [,30]     [,31]     [,32]     [,33]     [,34]     [,35]
 [1,]       NaN       NaN       NaN       NaN       NaN       NaN       NaN
 [2,] 1.6331951 1.6335006 0.9831574 1.7334978 1.7341020 1.7348367 1.7357213
 [3,] 0.3092438 0.3093168 0.3266837 0.7685510 0.7689120 0.7693539 1.3513066
 [4,] 0.5364533 0.5366714 0.0000000 0.2613548 0.2615321 0.2617500 0.2734476
 [5,] 0.2076420 0.2077492 0.2145139 0.0000000 0.0000000 0.0000000 0.0000000
 [6,] 0.4056568 0.4059304 0.1934534 0.1968845 0.1971206 0.1974136 0.2015418
 [7,] 0.0000000 0.0000000 0.1740700 0.1782992 0.1785675 0.1789018 0.1817384
 [8,] 0.3368916 0.5451440 0.7983418 0.5766386 0.5777734 0.5791964 0.5883473
 [9,] 0.0000000 0.1488566 0.7426694 0.7647885 0.7666161 0.7689207 0.7800826
[10,] 0.2994758 0.4802216 1.1679225 1.1964606 1.2001765 1.4912693 1.5119868
[11,] 0.8492830 1.0813280 1.9257720 1.9678999 1.6773643 1.9994415 2.0431609
[12,] 0.4370837 0.4396376 0.8327281 0.6431578 0.4584677 0.6520546 0.6634431
[13,] 0.7813801 0.7858521 1.4849634 1.2612403 1.0352222 1.0460776 1.3105493
[14,] 1.6404626 1.4017334 2.2314039 1.9739655 1.7184623 1.7374980 1.7749383
[15,] 0.7330320 0.5603923 1.1470470 0.9488440 0.5782659 0.5838752 0.9899723
[16,] 0.5447989 0.5472935 1.1163593 0.9233361 0.4017323 0.2565314 0.5810271
[17,] 0.8808721 0.8857837 1.5353877 1.3222433 0.7272391 0.5599850 0.7508397
[18,] 1.0562194 1.0631865 1.7491394 1.5290637 0.9024715 0.7257878 0.9334719
[19,] 0.8510597 1.2482751 1.9662854 1.7386117 1.2954910 1.0987242 1.3418522
[20,] 1.8989540 2.1705119 3.0670129 2.7987038 2.2584109 2.0208164 2.6449747
[21,] 1.8752721 2.1426165 2.7240332 2.4703093 1.9642123 1.7425923 2.3173611
[22,] 1.1963902 1.2054558 1.6542835 1.6757202 1.4690416 1.2712413 1.7675382
[23,] 1.1880680 1.0036811 1.4185527 1.4364786 0.8533356 0.6895263 1.0796787
[24,] 0.8139104 0.6532019 1.0089807 1.2186018 0.5161318 0.5241289 0.8809548
[25,] 1.1795259 0.9967106 1.2002417 1.4257900 0.6746465 0.5233816 0.6993508
[26,] 0.8113766 0.6513346 0.8250482 1.0182187 0.3678274 0.1125495 0.2410827
[27,] 0.4951066 0.3567215 0.5029190 0.6663918 0.1111238 0.0000000 0.1147435
[28,] 0.1074403 0.0000000 0.1089549 0.2316239 0.0000000 0.1132012 0.0000000
[29,] 0.2268721 0.0000000 0.1094660 0.2328571 0.0000000 0.2398340 0.0000000
[30,] 0.1087289 0.1094446 0.0000000 0.1116316 0.2378841 0.5362101 0.2467810
[31,] 0.2306332 0.0000000 0.1113250 0.3742443 0.0000000 0.2451662 0.1182351
[32,] 0.0000000 0.0000000 0.1125148 0.3789231 0.0000000 0.1176852 0.0000000
[33,] 0.3724066 0.5247659 0.6949870 1.0846810 0.5458922 0.2513974 0.5686147
[34,] 0.0000000 0.1145202 0.2436620 0.5483033 0.1189023 0.0000000 0.2610496
[35,] 0.3850817 0.2454136 0.1174666 0.2515484 0.1208755 0.1231873 0.1254551
[36,] 0.2482212 0.1183290 0.0000000 0.4051750 0.0000000 0.0000000 0.2708179
[37,] 0.2542672 0.4051236 0.4092508 0.9688751 0.4223607 0.4302782 0.8173662
[38,] 0.4129690 0.5848541 0.5912869 1.2245986 0.8054300 0.6219043 1.0637311
[39,] 0.5989575 0.7951795 0.6093872 1.2667468 0.6289647 0.6387506 1.0953410
[40,] 0.0000000 0.1320578 0.1331394 0.6428204 0.1366960 0.1386781 0.4824947
[41,] 0.1358679 0.2911699 0.2937757 1.1219953 0.4813847 0.6906691 1.1965981
[42,] 0.0000000 0.1427103 0.3064239 1.1792929 0.7116400 0.9576959 1.2506705
[43,] 0.7232798 0.7295353 0.9774311 1.8727908 1.2710037 1.5953228 1.9872689
[44,] 1.0287518 1.0376732 1.3357439 2.4006339 1.6924831 2.0851523 2.5703928
[45,] 0.8440500 0.5962242 0.8626129 1.8604805 1.1888099 1.9212126 2.4472869
[46,] 0.0000000 0.1871768 0.1887529 0.9716102 0.4226291 1.0062582 1.7800581
[47,] 0.2075560 0.0000000 0.2112026 0.4653320 0.0000000 0.2179374 0.8004947
[48,] 0.2405578 0.2424548 0.2425846 0.0000000 0.5496014 0.2508111 0.2573266
[49,] 1.7417003 1.7422369 1.7429529 1.2064502 1.8245366 1.2753383 0.7857241
[50,] 0.4674060 0.4674634 0.4675391 0.0000000 0.0000000 0.0000000 0.5149221
          [,36]     [,37]     [,38]     [,39]     [,40]     [,41]     [,42]
 [1,]       NaN       NaN       NaN       NaN       NaN       NaN       NaN
 [2,] 1.7367816 1.7380515 2.5744153 1.9043192 1.9063841 1.2575865 0.6201974
 [3,] 1.3524575 0.8477598 1.5114995 0.9700430 0.9712393 0.4605243 0.0000000
 [4,] 0.2887677 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [5,] 0.0000000 0.2328867 0.5448441 0.2646304 0.6083838 0.3031447 0.7997485
 [6,] 0.2063739 0.0000000 0.0000000 0.2352609 0.0000000 0.2604148 0.0000000
 [7,] 0.1849889 0.4134406 0.2018535 0.0000000 0.0000000 0.0000000 0.0000000
 [8,] 0.5987266 0.6209601 0.4050827 0.4271335 0.4416335 0.4750100 0.8796028
 [9,] 0.7926781 0.8181419 0.5996457 0.6402312 0.6598808 0.7023391 1.5389524
[10,] 1.2508317 1.0167734 0.7947715 0.8397298 0.6217033 0.6566596 1.4027550
[11,] 1.7790292 1.2458663 1.0183859 0.8137219 0.6021274 0.6344701 1.3421899
[12,] 0.4801448 0.1452649 0.1501097 0.0000000 0.1636008 0.1731902 0.6520939
[13,] 1.0922464 0.8921190 0.7012276 0.5180897 0.3367575 0.5761820 0.8946617
[14,] 1.8202220 1.5933390 1.1238675 0.7015790 0.5139294 0.3428890 0.5908267
[15,] 1.0115045 1.2824097 0.6499744 0.3004274 0.0000000 0.1543637 0.0000000
[16,] 0.5923344 0.8027705 0.1326481 0.1370837 0.4811452 0.5102326 0.3365593
[17,] 0.5828793 0.7891826 0.1306350 0.1348615 0.4720898 0.4988401 0.3284287
[18,] 0.7570636 0.7802151 0.2749197 0.0000000 0.2940324 0.3098213 0.1522554
[19,] 1.1472637 1.1820392 0.6016729 0.1312981 0.1353605 0.1415604 0.1484054
[20,] 2.1204451 2.1884373 1.4474702 0.8097455 0.4505905 0.4719556 1.1858690
[21,] 1.5742197 1.3786259 0.7726875 0.4317926 0.1322890 0.2936430 1.1756019
[22,] 1.1118450 0.7424199 0.2618725 0.0000000 0.1316719 0.0000000 0.6940517
[23,] 0.5471131 0.2527247 0.1228971 0.2682453 0.6212391 0.2898110 0.3042473
[24,] 0.3889416 0.1193022 0.1224759 0.1262251 0.4391148 0.1357050 0.4826247
[25,] 0.2458629 0.0000000 0.2583133 0.1258728 0.6172070 0.2875216 0.3013318
[26,] 0.0000000 0.2514741 0.5741819 0.4218851 0.8127946 0.4564859 0.1410700
[27,] 0.1169027 0.2520953 0.5750646 0.4220012 0.8130059 0.6434254 0.0000000
[28,] 0.2474846 0.2528253 0.5766662 0.4229748 1.0298585 0.8512149 0.1409427
[29,] 0.2489392 0.4019478 0.7625438 0.5979671 1.2703649 1.3288320 0.3009151
[30,] 0.5593700 0.7518840 1.1942003 1.0085504 2.1240585 2.2269880 0.9097198
[31,] 0.4035691 0.5793850 0.9893940 0.8106045 1.8600555 1.9491599 0.9239637
[32,] 0.2588689 0.4188245 0.7980827 0.6264870 1.6145213 1.9936354 1.1946928
[33,] 0.1235918 0.0000000 0.2738718 0.2819720 1.1046495 1.4171658 0.7166211
[34,] 0.0000000 0.1285398 0.4448311 0.4565601 1.6657378 2.0605093 1.2330819
[35,] 0.2708179 0.4397219 0.8435883 0.8680207 2.3496676 2.4519880 1.5512897
[36,] 0.1302830 0.4481245 0.8619852 0.8874577 2.4155474 2.5231807 1.5965837
[37,] 0.2827451 0.0000000 0.4723790 0.6842896 2.1233978 2.2180718 1.6276910
[38,] 0.2892109 0.0000000 0.4844774 0.7028870 2.1975570 2.2995785 2.0242880
[39,] 0.2966511 0.0000000 0.7028870 0.9561382 2.2518168 2.3577427 2.0750529
[40,] 0.0000000 0.1468208 0.7265161 0.9791247 2.6843486 2.8116915 2.5115229
[41,] 0.5107791 0.5188636 0.0000000 0.1566203 1.3560363 1.4183440 1.1571090
[42,] 0.5315341 0.5400834 0.0000000 0.1624248 1.1058833 1.1571090 0.9021835
[43,] 1.0681957 1.0883389 0.3649639 0.1715645 0.6210394 0.3985004 0.1912354
[44,] 1.8225616 1.8629604 0.9063852 0.6421984 0.1913624 0.1968343 0.0000000
[45,] 1.6644450 1.7122323 1.0227170 0.7229386 0.2161528 0.2246177 0.0000000
[46,] 1.0552623 1.0866740 0.7654607 0.4768379 0.2285823 0.0000000 0.2495902
[47,] 0.2281115 0.2349867 0.2355080 0.0000000 0.5524248 0.2554395 0.0000000
[48,] 0.0000000 0.2663527 0.2668148 0.0000000 0.6400056 0.2942695 0.0000000
[49,] 1.3791538 1.3805320 1.3821907 1.3841979 2.1243977 1.5412013 0.4650041
[50,] 0.5151142 0.5153440 0.5156197 0.5159522 0.0000000 0.0000000 0.0000000
          [,43]     [,44]     [,45]     [,46]     [,47]     [,48]     [,49]
 [1,]       NaN       NaN       NaN       NaN       NaN       NaN       NaN
 [2,]       NaN       NaN       NaN       NaN       NaN       NaN       NaN
 [3,] 0.5939154 0.5948530 0.5961276 0.0000000 0.0000000       NaN       NaN
 [4,] 0.5851083 0.5860515 0.5873344 0.0000000 0.0000000       NaN       NaN
 [5,] 0.3764552 0.3777508 0.3795267 0.4504272 0.4538831 0.5925597       NaN
 [6,] 0.3005717 0.0000000 0.3333380 0.3784347 0.3824728 0.4568219 0.6004759
 [7,] 0.2758888 0.0000000 0.3013846 0.3335654 0.3381717 0.0000000 0.0000000
 [8,] 0.5531653 0.9490566 0.6443014 0.7123575 0.7246046 0.3856593 0.0000000
 [9,] 1.1785432 1.6509328 1.3452466 1.0373838 1.1495962 0.8243185 0.4656611
[10,] 1.0740671 1.5606118 0.8925714 0.6011731 0.6594651 0.8218381 0.4648594
[11,] 1.0285169 1.1243426 0.5259146 0.2611580 0.2833405 0.3414947 0.4642294
[12,] 0.4128225 0.4426019 0.0000000 0.0000000 0.0000000 0.0000000 0.3985676
[13,] 0.6415938 0.6864957 0.2088003 0.0000000 0.2537175 0.2927720 0.3981080
[14,] 0.3760490 0.3982000 0.0000000 0.4749112 0.8534957 0.9852845 1.2803416
[15,] 0.0000000 0.0000000 0.4080341 1.0577047 1.5744052 1.8844989 2.4435239
[16,] 0.1628636 0.1730325 0.4000895 1.0307690 1.5341783 1.8266567 3.1111841
[17,] 0.3431051 0.0000000 0.1829198 0.7066227 1.1223703 1.3261869 2.3546494
[18,] 0.1586705 0.0000000 0.1825377 0.7052308 1.1203497 1.3243491 2.3522993
[19,] 0.1546059 0.5694252 0.1778034 0.1930944 0.7560003 1.2990070 2.3029690
[20,] 0.9850699 1.6725713 0.8718053 0.4118639 0.2093607 0.5342261 1.1319809
[21,] 0.7379442 1.3445107 0.8705128 0.4113967 0.2091763 0.5338418 1.1313865
[22,] 0.3226289 0.7856801 0.6052196 0.1885592 0.4550946 0.8762341 1.1309190
[23,] 0.0000000 0.5472115 0.3706296 0.0000000 1.0650323 1.2725959 1.6694719
[24,] 0.1488555 0.7736425 0.5919284 0.4019027 0.7360297 0.8731206 1.6690819
[25,] 0.0000000 0.7712455 0.3664116 0.1850713 0.7358535 0.8729555 1.6688542
[26,] 0.1482776 1.0247674 0.5891821 0.4003820 0.4506880 0.5302228 1.1378388
[27,] 0.0000000 1.0230673 0.5864028 0.3997333 0.4520041 0.8754269 1.6921655
[28,] 0.0000000 1.0241077 0.5863035 0.6479295 0.2074753 0.8756037 1.6923923
[29,] 0.0000000 0.7710582 0.5867642 0.6483216 0.2075560 0.8759027 1.6927808
[30,] 0.3213386 0.3421093 0.5904452 0.4045539 0.0000000 0.8837792 1.7422369
[31,] 0.3266605 0.1617786 0.3714306 0.1905242 0.2138638 0.5487521 0.7359536
[32,] 0.7554642 0.1644374 0.0000000 0.0000000 0.2174485 0.2503840 0.3336807
[33,] 0.5350738 0.0000000 0.1761015 0.1957500 0.2176678 0.2505761 0.3338276
[34,] 0.7736461 0.1682296 0.0000000 0.1991426 0.2221822 0.2570522 0.3340069
[35,] 1.0503827 0.3698034 0.1830059 0.2031495 0.2277415 0.5809263 0.3342235
[36,] 1.0828257 0.3818140 0.4070065 0.4597808 0.8499668 0.9820507 0.7863639
[37,] 1.1045297 0.1787349 0.1898319 0.2134247 0.5270350 0.6056050 0.3591511
[38,] 1.4554953 0.3985504 0.4263041 0.4905881 1.3190209 1.0317591 0.8619759
[39,] 1.8338491 0.6552503 0.7042315 0.8216422 1.8382379 1.0341077 0.8630305
[40,] 2.2632009 0.9571547 1.0332193 0.8249816 1.8450019 1.0369875 0.8643171
[41,] 1.2252256 0.1968343 0.2109537 0.2380723 0.9879542 0.2942695 0.8659059
[42,] 0.9562908 0.2031605 0.2185698 0.2495902 1.0583533 0.3148556 0.4000021
[43,] 0.1976130 0.4674540 0.5102757 0.2638059 0.3065264 0.3435475 0.0000000
[44,] 0.2105492 0.8168079 0.2384123 0.0000000 0.7254538 0.0000000 0.4669566
[45,] 0.2468349 0.2617726 0.2805977 0.3340220 0.8133423 0.3877011 1.1919861
[46,] 0.0000000 0.2656619 0.2841476 0.3369243 0.8202856 0.3902366 1.1973800
[47,] 0.0000000 0.2874877 0.0000000 0.0000000 0.3870820 0.0000000 1.2057213
[48,] 0.0000000 0.3449660 0.0000000 0.0000000 0.0000000 0.4667672 0.6085348
[49,] 0.4658478 0.0000000 0.5990809 0.6008990 0.6036972 0.6085348       NaN
[50,] 0.0000000 0.6355958 0.0000000 0.0000000 0.0000000 0.0000000       NaN
          [,50]
 [1,]       NaN
 [2,]       NaN
 [3,]       NaN
 [4,]       NaN
 [5,]       NaN
 [6,]       NaN
 [7,] 0.6365495
 [8,] 0.6353924
 [9,] 0.6345339
[10,] 0.6338745
[11,] 0.6333549
[12,] 0.0000000
[13,] 0.0000000
[14,] 1.1410849
[15,] 1.8747835
[16,] 1.8735799
[17,] 1.0726017
[18,] 1.0721504
[19,] 1.0718099
[20,] 0.4676350
[21,] 0.4675391
[22,] 0.4674634
[23,] 0.4674060
[24,] 0.4673659
[25,] 0.4673421
[26,] 0.4673342
[27,] 1.1374138
[28,] 1.1374740
[29,] 1.1375772
[30,] 1.1377253
[31,] 0.5144301
[32,] 0.0000000
[33,] 0.0000000
[34,] 0.0000000
[35,] 0.0000000
[36,] 0.6319246
[37,] 0.0000000
[38,] 0.0000000
[39,] 0.0000000
[40,] 0.0000000
[41,] 0.0000000
[42,] 0.0000000
[43,] 0.0000000
[44,] 0.0000000
[45,] 0.0000000
[46,] 0.0000000
[47,] 0.0000000
[48,] 0.0000000
[49,]       NaN
[50,]       NaN

$Pdiff.by
      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
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      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
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[14,]     0     0     0     0     0     0     0     0     0     0     0     0
[15,]     0     0     0     0     0     0     0     0     0     0     0     0
[16,]     0     0     0     0     0     0     0     0     0     0     0     0
[17,]     0     0     0     0     0     0     0     0     0     0     0     0
[18,]     0     0     0     0     0     0     0     0     0     0     0     0
[19,]     0     0     0     0     0     0     0     0     0     0     0     0
[20,]     0     0     0     0     0     0     0     0     0     0     0     0
[21,]     0     0     0     0     0     0     0     0     0     0     0     0
[22,]     0     0     0     0     0     0     0     0     0     0     0     0
[23,]     0     0     0     0     0     0     0     0     0     0     0     0
[24,]     0     0     0     0     0     0     0     0     0     0     0     0
[25,]     0     0     0     0     0     0     0     0     0     0     0     0
[26,]     0     0     0     0     0     0     0     0     0     0     0     0
[27,]     0     0     0     0     0     0     0     0     0     0     0     0
[28,]     0     0     0     0     0     0     0     0     0     0     0     0
[29,]     0     0     0     0     0     0     0     0     0     0     0     0
[30,]     0     0     0     0     0     0     0     0     0     0     0     0
[31,]     0     0     0     0     0     0     0     0     0     0     0     0
[32,]     0     0     0     0     0     0     0     0     0     0     0     0
[33,]     0     0     0     0     0     0     0     0     0     0     0     0
[34,]     0     0     0     0     0     0     0     0     0     0     0     0
[35,]     0     0     0     0     0     0     0     0     0     0     0     0
[36,]     0     0     0     0     0     0     0     0     0     0     0     0
[37,]     0     0     0     0     0     0     0     0     0     0     0     0
[38,]     0     0     0     0     0     0     0     0     0     0     0     0
[39,]     0     0     0     0     0     0     0     0     0     0     0     0
[40,]     0     0     0     0     0     0     0     0     0     0     0     0
[41,]     0     0     0     0     0     0     0     0     0     0     0     0
[42,]     0     0     0     0     0     0     0     0     0     0     0     0
[43,]     0     0     0     0     0     0     0     0     0     0     0     0
[44,]     0     0     0     0     0     0     0     0     0     0     0     0
[45,]     0     0     0     0     0     0     0     0     0     0     0     0
[46,]     0     0     0     0     0     0     0     0     0     0     0     0
[47,]     0     0     0     0     0     0     0     0     0     0     0     0
[48,]     0     0     0     0     0     0     0     0     0     0     0     0
[49,]     0     0     0     0     0     0     0     0     0     0     0     0
[50,]     0     0     0     0     0     0     0     0     0     0     0     0
      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
 [1,]     0     0     0     0     0     0     0     0     0     0     0     0
 [2,]     0     0     0     0     0     0     0     0     0     0     0     0
 [3,]     0     0     0     0     0     0     0     0     0     0     0     0
 [4,]     0     0     0     0     0     0     0     0     0     0     0     0
 [5,]     0     0     0     0     0     0     0     0     0     0     0     0
 [6,]     0     0     0     0     0     0     0     0     0     0     0     0
 [7,]     0     0     0     0     0     0     0     0     0     0     0     0
 [8,]     0     0     0     0     0     0     0     0     0     0     0     0
 [9,]     0     0     0     0     0     0     0     0     0     0     0     0
[10,]     0     0     0     0     0     0     0     0     0     0     0     0
[11,]     0     0     0     0     0     0     0     0     0     0     0     0
[12,]     0     0     0     0     0     0     0     0     0     0     0     0
[13,]     0     0     0     0     0     0     0     0     0     0     0     0
[14,]     0     0     0     0     0     0     0     0     0     0     0     0
[15,]     0     0     0     0     0     0     0     0     0     0     0     0
[16,]     0     0     0     0     0     0     0     0     0     0     0     0
[17,]     0     0     0     0     0     0     0     0     0     0     0     0
[18,]     0     0     0     0     0     0     0     0     0     0     0     0
[19,]     0     0     0     0     0     0     0     0     0     0     0     0
[20,]     0     0     0     0     0     0     0     0     0     0     0     0
[21,]     0     0     0     0     0     0     0     0     0     0     0     0
[22,]     0     0     0     0     0     0     0     0     0     0     0     0
[23,]     0     0     0     0     0     0     0     0     0     0     0     0
[24,]     0     0     0     0     0     0     0     0     0     0     0     0
[25,]     0     0     0     0     0     0     0     0     0     0     0     0
[26,]     0     0     0     0     0     0     0     0     0     0     0     0
[27,]     0     0     0     0     0     0     0     0     0     0     0     0
[28,]     0     0     0     0     0     0     0     0     0     0     0     0
[29,]     0     0     0     0     0     0     0     0     0     0     0     0
[30,]     0     0     0     0     0     0     0     0     0     0     0     0
[31,]     0     0     0     0     0     0     0     0     0     0     0     0
[32,]     0     0     0     0     0     0     0     0     0     0     0     0
[33,]     0     0     0     0     0     0     0     0     0     0     0     0
[34,]     0     0     0     0     0     0     0     0     0     0     0     0
[35,]     0     0     0     0     0     0     0     0     0     0     0     0
[36,]     0     0     0     0     0     0     0     0     0     0     0     0
[37,]     0     0     0     0     0     0     0     0     0     0     0     0
[38,]     0     0     0     0     0     0     0     0     0     0     0     0
[39,]     0     0     0     0     0     0     0     0     0     0     0     0
[40,]     0     0     0     0     0     0     0     0     0     0     0     0
[41,]     0     0     0     0     0     0     0     0     0     0     0     0
[42,]     0     0     0     0     0     0     0     0     0     0     0     0
[43,]     0     0     0     0     0     0     0     0     0     0     0     0
[44,]     0     0     0     0     0     0     0     0     0     0     0     0
[45,]     0     0     0     0     0     0     0     0     0     0     0     0
[46,]     0     0     0     0     0     0     0     0     0     0     0     0
[47,]     0     0     0     0     0     0     0     0     0     0     0     0
[48,]     0     0     0     0     0     0     0     0     0     0     0     0
[49,]     0     0     0     0     0     0     0     0     0     0     0     0
[50,]     0     0     0     0     0     0     0     0     0     0     0     0
      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
 [1,]     0     0     0     0     0     0     0     0     0     0     0     0
 [2,]     0     0     0     0     0     0     0     0     0     0     0     0
 [3,]     0     0     0     0     0     0     0     0     0     0     0     0
 [4,]     0     0     0     0     0     0     0     0     0     0     0     0
 [5,]     0     0     0     0     0     0     0     0     0     0     0     0
 [6,]     0     0     0     0     0     0     0     0     0     0     0     0
 [7,]     0     0     0     0     0     0     0     0     0     0     0     0
 [8,]     0     0     0     0     0     0     0     0     0     0     0     0
 [9,]     0     0     0     0     0     0     0     0     0     0     0     0
[10,]     0     0     0     0     0     0     0     0     0     0     0     0
[11,]     0     0     0     0     0     0     0     0     0     0     0     0
[12,]     0     0     0     0     0     0     0     0     0     0     0     0
[13,]     0     0     0     0     0     0     0     0     0     0     0     0
[14,]     0     0     0     0     0     0     0     0     0     0     0     0
[15,]     0     0     0     0     0     0     0     0     0     0     0     0
[16,]     0     0     0     0     0     0     0     0     0     0     0     0
[17,]     0     0     0     0     0     0     0     0     0     0     0     0
[18,]     0     0     0     0     0     0     0     0     0     0     0     0
[19,]     0     0     0     0     0     0     0     0     0     0     0     0
[20,]     0     0     0     0     0     0     0     0     0     0     0     0
[21,]     0     0     0     0     0     0     0     0     0     0     0     0
[22,]     0     0     0     0     0     0     0     0     0     0     0     0
[23,]     0     0     0     0     0     0     0     0     0     0     0     0
[24,]     0     0     0     0     0     0     0     0     0     0     0     0
[25,]     0     0     0     0     0     0     0     0     0     0     0     0
[26,]     0     0     0     0     0     0     0     0     0     0     0     0
[27,]     0     0     0     0     0     0     0     0     0     0     0     0
[28,]     0     0     0     0     0     0     0     0     0     0     0     0
[29,]     0     0     0     0     0     0     0     0     0     0     0     0
[30,]     0     0     0     0     0     0     0     0     0     0     0     0
[31,]     0     0     0     0     0     0     0     0     0     0     0     0
[32,]     0     0     0     0     0     0     0     0     0     0     0     0
[33,]     0     0     0     0     0     0     0     0     0     0     0     0
[34,]     0     0     0     0     0     0     0     0     0     0     0     0
[35,]     0     0     0     0     0     0     0     0     0     0     0     0
[36,]     0     0     0     0     0     0     0     0     0     0     0     0
[37,]     0     0     0     0     0     0     0     0     0     0     0     0
[38,]     0     0     0     0     0     0     0     0     0     0     0     0
[39,]     0     0     0     0     0     0     0     0     0     0     0     0
[40,]     0     0     0     0     0     0     0     0     0     0     0     0
[41,]     0     0     0     0     0     0     0     0     0     0     0     0
[42,]     0     0     0     0     0     0     0     0     0     0     0     0
[43,]     0     0     0     0     0     0     0     0     0     0     0     0
[44,]     0     0     0     0     0     0     0     0     0     0     0     0
[45,]     0     0     0     0     0     0     0     0     0     0     0     0
[46,]     0     0     0     0     0     0     0     0     0     0     0     0
[47,]     0     0     0     0     0     0     0     0     0     0     0     0
[48,]     0     0     0     0     0     0     0     0     0     0     0     0
[49,]     0     0     0     0     0     0     0     0     0     0     0     0
[50,]     0     0     0     0     0     0     0     0     0     0     0     0
      [,50]
 [1,]     0
 [2,]     0
 [3,]     0
 [4,]     0
 [5,]     0
 [6,]     0
 [7,]     0
 [8,]     0
 [9,]     0
[10,]     0
[11,]     0
[12,]     0
[13,]     0
[14,]     0
[15,]     0
[16,]     0
[17,]     0
[18,]     0
[19,]     0
[20,]     0
[21,]     0
[22,]     0
[23,]     0
[24,]     0
[25,]     0
[26,]     0
[27,]     0
[28,]     0
[29,]     0
[30,]     0
[31,]     0
[32,]     0
[33,]     0
[34,]     0
[35,]     0
[36,]     0
[37,]     0
[38,]     0
[39,]     0
[40,]     0
[41,]     0
[42,]     0
[43,]     0
[44,]     0
[45,]     0
[46,]     0
[47,]     0
[48,]     0
[49,]     0
[50,]     0

Warning messages:
1: In phyper(k - 1, M, N - M, s, lower.tail = FALSE, log.p = TRUE) :
  NaNs produced
2: In phyper(k - 1, M, N - M, s, lower.tail = FALSE, log.p = TRUE) :
  NaNs produced
3: In phyper(k - 1, M, N - M, s, lower.tail = FALSE, log.p = TRUE) :
  NaNs produced
4: In phyper(k - 1, M, N - M, s, lower.tail = FALSE, log.p = TRUE) :
  NaNs produced
5: In phyper(k - 1, M, N - M, s, lower.tail = FALSE, log.p = TRUE) :
  NaNs produced

RRHO documentation built on Nov. 8, 2020, 5:46 p.m.