dominant.freqs: Dominant Frequencies in Multiple (Genetic) Time Series
In GeneCycle: Identification of Periodically Expressed Genes

Description Usage Arguments Value Author(s) See Also Examples

dominant.freqs returns the m dominant frequencies (highest peaks) in each of the periodogram computed for the individual time series.

1	dominant.freqs(x, m=1, ...)

`x`	multivariate (genetic) time series (each column of this matrix corresponds to a separate variable/time series), or a vector with a single time series
`m`	number of dominant frequences
`...`	arguments passed to `periodogram`

A matrix (or vector, if only 1 time series is considered) with the dominant frequencies. In a matrix, each column corresponds to one time series.

Konstantinos Fokianos and Korbinian Strimmer (https://www.strimmerlab.org/).

periodogram, spectrum.

# load GeneCycle library
library("GeneCycle")

# load data set
data(caulobacter)

# how many samples and how many genes?
dim(caulobacter)

# first three dominant frequencies for each gene
dominant.freqs(caulobacter, 3)

# first four dominant frequencies for gene no. 1000
dominant.freqs(caulobacter[,1000], 4)

Loading required package: MASS
Loading required package: longitudinal
Loading required package: corpcor
Loading required package: fdrtool
[1]   11 1444
           [,1]       [,2]       [,3]       [,4]       [,5]       [,6]
[1,] 0.09090909 0.09090909 0.09090909 0.09090909 0.09090909 0.09090909
[2,] 0.27272727 0.18181818 0.18181818 0.18181818 0.18181818 0.18181818
[3,] 0.36363636 0.45454545 0.45454545 0.36363636 0.27272727 0.27272727
          [,7]       [,8]       [,9]      [,10]      [,11]      [,12]
[1,] 0.3636364 0.09090909 0.09090909 0.09090909 0.09090909 0.27272727
[2,] 0.2727273 0.18181818 0.45454545 0.18181818 0.36363636 0.45454545
[3,] 0.1818182 0.27272727 0.27272727 0.36363636 0.18181818 0.09090909
          [,13]     [,14]      [,15]      [,16]      [,17]      [,18]
[1,] 0.09090909 0.3636364 0.18181818 0.09090909 0.09090909 0.09090909
[2,] 0.36363636 0.4545455 0.09090909 0.36363636 0.18181818 0.45454545
[3,] 0.18181818 0.1818182 0.27272727 0.18181818 0.36363636 0.27272727
          [,19]      [,20]      [,21]     [,22]      [,23]      [,24]
[1,] 0.09090909 0.27272727 0.36363636 0.3636364 0.09090909 0.45454545
[2,] 0.18181818 0.18181818 0.18181818 0.1818182 0.18181818 0.09090909
[3,] 0.27272727 0.09090909 0.09090909 0.4545455 0.27272727 0.27272727
          [,25]      [,26]      [,27]      [,28]      [,29]      [,30]
[1,] 0.18181818 0.45454545 0.09090909 0.27272727 0.18181818 0.09090909
[2,] 0.09090909 0.18181818 0.27272727 0.09090909 0.09090909 0.18181818
[3,] 0.27272727 0.09090909 0.18181818 0.45454545 0.27272727 0.27272727
          [,31]     [,32]      [,33]      [,34]      [,35]      [,36]
[1,] 0.09090909 0.2727273 0.09090909 0.45454545 0.09090909 0.09090909
[2,] 0.27272727 0.1818182 0.45454545 0.09090909 0.27272727 0.18181818
[3,] 0.18181818 0.4545455 0.36363636 0.27272727 0.45454545 0.45454545
          [,37]      [,38]      [,39]     [,40]      [,41]      [,42]
[1,] 0.18181818 0.09090909 0.09090909 0.2727273 0.36363636 0.27272727
[2,] 0.09090909 0.18181818 0.18181818 0.1818182 0.27272727 0.18181818
[3,] 0.27272727 0.27272727 0.27272727 0.3636364 0.09090909 0.09090909
          [,43]      [,44]      [,45]     [,46]      [,47]      [,48]
[1,] 0.09090909 0.09090909 0.27272727 0.2727273 0.18181818 0.27272727
[2,] 0.45454545 0.18181818 0.09090909 0.1818182 0.27272727 0.18181818
[3,] 0.27272727 0.27272727 0.45454545 0.4545455 0.09090909 0.09090909
          [,49]      [,50]     [,51]      [,52]     [,53]     [,54]     [,55]
[1,] 0.27272727 0.09090909 0.1818182 0.09090909 0.3636364 0.2727273 0.3636364
[2,] 0.18181818 0.18181818 0.2727273 0.18181818 0.2727273 0.1818182 0.2727273
[3,] 0.09090909 0.27272727 0.3636364 0.45454545 0.4545455 0.4545455 0.1818182
          [,56]      [,57]      [,58]      [,59]      [,60]      [,61]
[1,] 0.45454545 0.27272727 0.09090909 0.09090909 0.09090909 0.18181818
[2,] 0.36363636 0.09090909 0.18181818 0.45454545 0.18181818 0.09090909
[3,] 0.09090909 0.18181818 0.45454545 0.18181818 0.27272727 0.27272727
          [,62]      [,63]      [,64]      [,65]      [,66]      [,67]
[1,] 0.27272727 0.09090909 0.09090909 0.09090909 0.09090909 0.09090909
[2,] 0.09090909 0.36363636 0.18181818 0.18181818 0.45454545 0.18181818
[3,] 0.18181818 0.45454545 0.27272727 0.45454545 0.18181818 0.45454545
         [,68]     [,69]      [,70]     [,71]      [,72]      [,73]      [,74]
[1,] 0.2727273 0.1818182 0.27272727 0.1818182 0.18181818 0.18181818 0.18181818
[2,] 0.4545455 0.2727273 0.36363636 0.2727273 0.45454545 0.45454545 0.09090909
[3,] 0.1818182 0.3636364 0.09090909 0.4545455 0.09090909 0.09090909 0.45454545
         [,75]      [,76]      [,77]      [,78]      [,79]      [,80]
[1,] 0.1818182 0.09090909 0.09090909 0.09090909 0.09090909 0.09090909
[2,] 0.4545455 0.45454545 0.18181818 0.36363636 0.18181818 0.18181818
[3,] 0.2727273 0.18181818 0.45454545 0.45454545 0.27272727 0.27272727
          [,81]     [,82]     [,83]      [,84]      [,85]      [,86]      [,87]
[1,] 0.18181818 0.4545455 0.4545455 0.09090909 0.36363636 0.45454545 0.27272727
[2,] 0.45454545 0.1818182 0.1818182 0.36363636 0.45454545 0.09090909 0.18181818
[3,] 0.09090909 0.2727273 0.2727273 0.45454545 0.09090909 0.27272727 0.09090909
         [,88]     [,89]     [,90]     [,91]      [,92]      [,93]      [,94]
[1,] 0.4545455 0.4545455 0.4545455 0.3636364 0.45454545 0.09090909 0.09090909
[2,] 0.3636364 0.2727273 0.3636364 0.1818182 0.09090909 0.45454545 0.45454545
[3,] 0.1818182 0.3636364 0.1818182 0.4545455 0.18181818 0.27272727 0.36363636
          [,95]      [,96]      [,97]      [,98]      [,99]     [,100]
[1,] 0.27272727 0.09090909 0.09090909 0.27272727 0.18181818 0.18181818
[2,] 0.09090909 0.36363636 0.45454545 0.09090909 0.09090909 0.09090909
[3,] 0.18181818 0.27272727 0.36363636 0.45454545 0.36363636 0.36363636
         [,101]     [,102]    [,103]     [,104]     [,105]     [,106]    [,107]
[1,] 0.09090909 0.09090909 0.4545455 0.45454545 0.27272727 0.09090909 0.4545455
[2,] 0.27272727 0.18181818 0.2727273 0.18181818 0.09090909 0.18181818 0.2727273
[3,] 0.18181818 0.27272727 0.1818182 0.09090909 0.36363636 0.27272727 0.3636364
        [,108]     [,109]    [,110]     [,111]     [,112]    [,113]     [,114]
[1,] 0.4545455 0.09090909 0.4545455 0.09090909 0.09090909 0.1818182 0.09090909
[2,] 0.3636364 0.45454545 0.1818182 0.27272727 0.45454545 0.4545455 0.18181818
[3,] 0.1818182 0.18181818 0.3636364 0.36363636 0.36363636 0.2727273 0.27272727
         [,115]    [,116]    [,117]    [,118]    [,119]     [,120]     [,121]
[1,] 0.09090909 0.4545455 0.2727273 0.1818182 0.4545455 0.09090909 0.45454545
[2,] 0.27272727 0.3636364 0.3636364 0.4545455 0.1818182 0.45454545 0.09090909
[3,] 0.18181818 0.1818182 0.4545455 0.2727273 0.3636364 0.27272727 0.36363636
         [,122]    [,123]     [,124]    [,125]     [,126]     [,127]     [,128]
[1,] 0.09090909 0.4545455 0.09090909 0.1818182 0.18181818 0.09090909 0.36363636
[2,] 0.45454545 0.2727273 0.18181818 0.2727273 0.27272727 0.36363636 0.09090909
[3,] 0.36363636 0.3636364 0.27272727 0.4545455 0.09090909 0.18181818 0.27272727
         [,129]     [,130]    [,131]     [,132]     [,133]     [,134]
[1,] 0.36363636 0.18181818 0.2727273 0.27272727 0.09090909 0.09090909
[2,] 0.45454545 0.09090909 0.1818182 0.18181818 0.18181818 0.45454545
[3,] 0.09090909 0.45454545 0.4545455 0.09090909 0.27272727 0.27272727
         [,135]    [,136]     [,137]     [,138]     [,139]     [,140]
[1,] 0.09090909 0.1818182 0.09090909 0.09090909 0.09090909 0.45454545
[2,] 0.27272727 0.4545455 0.27272727 0.18181818 0.45454545 0.18181818
[3,] 0.45454545 0.2727273 0.18181818 0.45454545 0.18181818 0.09090909
         [,141]     [,142]     [,143]     [,144]     [,145]    [,146]
[1,] 0.09090909 0.09090909 0.09090909 0.45454545 0.09090909 0.4545455
[2,] 0.45454545 0.18181818 0.36363636 0.27272727 0.36363636 0.2727273
[3,] 0.18181818 0.27272727 0.18181818 0.09090909 0.18181818 0.1818182
         [,147]     [,148]     [,149]     [,150]    [,151]     [,152]
[1,] 0.09090909 0.09090909 0.09090909 0.18181818 0.4545455 0.09090909
[2,] 0.27272727 0.18181818 0.18181818 0.09090909 0.1818182 0.45454545
[3,] 0.18181818 0.27272727 0.27272727 0.27272727 0.2727273 0.18181818
         [,153]     [,154]     [,155]     [,156]    [,157]     [,158]
[1,] 0.09090909 0.09090909 0.45454545 0.09090909 0.1818182 0.36363636
[2,] 0.18181818 0.45454545 0.09090909 0.18181818 0.2727273 0.27272727
[3,] 0.45454545 0.27272727 0.18181818 0.27272727 0.4545455 0.09090909
         [,159]     [,160]     [,161]     [,162]     [,163]    [,164]    [,165]
[1,] 0.09090909 0.36363636 0.09090909 0.18181818 0.09090909 0.4545455 0.3636364
[2,] 0.18181818 0.27272727 0.45454545 0.09090909 0.18181818 0.3636364 0.1818182
[3,] 0.27272727 0.09090909 0.36363636 0.36363636 0.45454545 0.1818182 0.4545455
        [,166]    [,167]     [,168]    [,169]     [,170]     [,171]    [,172]
[1,] 0.3636364 0.4545455 0.09090909 0.4545455 0.09090909 0.09090909 0.1818182
[2,] 0.4545455 0.3636364 0.36363636 0.1818182 0.45454545 0.45454545 0.3636364
[3,] 0.1818182 0.1818182 0.18181818 0.2727273 0.36363636 0.27272727 0.4545455
         [,173]     [,174]     [,175]     [,176]     [,177]     [,178]
[1,] 0.09090909 0.09090909 0.36363636 0.36363636 0.09090909 0.09090909
[2,] 0.18181818 0.27272727 0.09090909 0.18181818 0.36363636 0.18181818
[3,] 0.27272727 0.45454545 0.45454545 0.09090909 0.18181818 0.45454545
        [,179]     [,180]    [,181]    [,182]     [,183]     [,184]    [,185]
[1,] 0.2727273 0.09090909 0.1818182 0.4545455 0.09090909 0.45454545 0.1818182
[2,] 0.4545455 0.36363636 0.3636364 0.3636364 0.18181818 0.18181818 0.3636364
[3,] 0.3636364 0.45454545 0.4545455 0.1818182 0.27272727 0.09090909 0.4545455
        [,186]     [,187]     [,188]     [,189]    [,190]     [,191]    [,192]
[1,] 0.4545455 0.18181818 0.27272727 0.09090909 0.3636364 0.09090909 0.1818182
[2,] 0.3636364 0.36363636 0.45454545 0.27272727 0.2727273 0.18181818 0.4545455
[3,] 0.2727273 0.09090909 0.09090909 0.45454545 0.1818182 0.27272727 0.3636364
         [,193]     [,194]     [,195]     [,196]     [,197]     [,198]
[1,] 0.18181818 0.09090909 0.18181818 0.09090909 0.09090909 0.36363636
[2,] 0.09090909 0.27272727 0.45454545 0.36363636 0.27272727 0.09090909
[3,] 0.27272727 0.18181818 0.09090909 0.45454545 0.18181818 0.27272727
         [,199]     [,200]     [,201]     [,202]    [,203]     [,204]    [,205]
[1,] 0.36363636 0.18181818 0.18181818 0.45454545 0.3636364 0.45454545 0.1818182
[2,] 0.09090909 0.36363636 0.45454545 0.09090909 0.2727273 0.09090909 0.2727273
[3,] 0.45454545 0.09090909 0.09090909 0.27272727 0.4545455 0.27272727 0.3636364
         [,206]     [,207]     [,208]     [,209]     [,210]     [,211]
[1,] 0.09090909 0.09090909 0.18181818 0.09090909 0.36363636 0.09090909
[2,] 0.27272727 0.36363636 0.27272727 0.18181818 0.18181818 0.18181818
[3,] 0.36363636 0.27272727 0.09090909 0.36363636 0.09090909 0.27272727
         [,212]    [,213]    [,214]     [,215]     [,216]    [,217]     [,218]
[1,] 0.09090909 0.1818182 0.3636364 0.18181818 0.09090909 0.4545455 0.45454545
[2,] 0.18181818 0.2727273 0.4545455 0.45454545 0.27272727 0.3636364 0.09090909
[3,] 0.27272727 0.4545455 0.2727273 0.09090909 0.45454545 0.2727273 0.18181818
         [,219]     [,220]     [,221]    [,222]    [,223]     [,224]     [,225]
[1,] 0.09090909 0.09090909 0.09090909 0.1818182 0.1818182 0.09090909 0.18181818
[2,] 0.18181818 0.18181818 0.18181818 0.4545455 0.4545455 0.18181818 0.45454545
[3,] 0.45454545 0.27272727 0.45454545 0.3636364 0.2727273 0.27272727 0.09090909
        [,226]     [,227]     [,228]     [,229]     [,230]     [,231]
[1,] 0.4545455 0.18181818 0.45454545 0.18181818 0.09090909 0.09090909
[2,] 0.1818182 0.36363636 0.36363636 0.27272727 0.36363636 0.18181818
[3,] 0.2727273 0.09090909 0.09090909 0.09090909 0.27272727 0.27272727
         [,232]     [,233]     [,234]     [,235]     [,236]    [,237]
[1,] 0.09090909 0.09090909 0.09090909 0.18181818 0.09090909 0.2727273
[2,] 0.36363636 0.36363636 0.18181818 0.09090909 0.27272727 0.1818182
[3,] 0.45454545 0.27272727 0.45454545 0.27272727 0.18181818 0.4545455
         [,238]     [,239]     [,240]     [,241]     [,242]     [,243]
[1,] 0.27272727 0.09090909 0.09090909 0.18181818 0.09090909 0.09090909
[2,] 0.18181818 0.45454545 0.18181818 0.36363636 0.45454545 0.18181818
[3,] 0.09090909 0.27272727 0.45454545 0.09090909 0.36363636 0.36363636
         [,244]    [,245]    [,246]     [,247]     [,248]     [,249]    [,250]
[1,] 0.18181818 0.1818182 0.3636364 0.09090909 0.45454545 0.18181818 0.4545455
[2,] 0.09090909 0.2727273 0.4545455 0.18181818 0.36363636 0.09090909 0.1818182
[3,] 0.45454545 0.4545455 0.2727273 0.27272727 0.09090909 0.45454545 0.2727273
         [,251]    [,252]     [,253]     [,254]     [,255]     [,256]
[1,] 0.09090909 0.1818182 0.09090909 0.09090909 0.09090909 0.09090909
[2,] 0.18181818 0.4545455 0.18181818 0.18181818 0.18181818 0.18181818
[3,] 0.27272727 0.3636364 0.27272727 0.27272727 0.27272727 0.27272727
         [,257]     [,258]     [,259]     [,260]    [,261]     [,262]
[1,] 0.09090909 0.18181818 0.09090909 0.27272727 0.1818182 0.09090909
[2,] 0.18181818 0.09090909 0.27272727 0.09090909 0.3636364 0.18181818
[3,] 0.27272727 0.36363636 0.36363636 0.36363636 0.2727273 0.27272727
         [,263]     [,264]     [,265]     [,266]     [,267]    [,268]    [,269]
[1,] 0.09090909 0.09090909 0.09090909 0.09090909 0.09090909 0.2727273 0.4545455
[2,] 0.18181818 0.27272727 0.18181818 0.27272727 0.18181818 0.3636364 0.2727273
[3,] 0.27272727 0.18181818 0.27272727 0.18181818 0.27272727 0.1818182 0.1818182
         [,270]     [,271]     [,272]     [,273]     [,274]     [,275]
[1,] 0.36363636 0.09090909 0.09090909 0.36363636 0.09090909 0.09090909
[2,] 0.09090909 0.45454545 0.45454545 0.27272727 0.18181818 0.27272727
[3,] 0.27272727 0.18181818 0.36363636 0.09090909 0.27272727 0.18181818
         [,276]     [,277]     [,278]    [,279]     [,280]     [,281]
[1,] 0.09090909 0.27272727 0.09090909 0.1818182 0.09090909 0.09090909
[2,] 0.45454545 0.45454545 0.18181818 0.3636364 0.45454545 0.18181818
[3,] 0.27272727 0.09090909 0.27272727 0.4545455 0.18181818 0.27272727
         [,282]     [,283]     [,284]     [,285]     [,286]     [,287]
[1,] 0.09090909 0.09090909 0.09090909 0.09090909 0.27272727 0.09090909
[2,] 0.27272727 0.27272727 0.18181818 0.27272727 0.18181818 0.18181818
[3,] 0.36363636 0.18181818 0.27272727 0.18181818 0.09090909 0.27272727
         [,288]     [,289]     [,290]     [,291]     [,292]     [,293]
[1,] 0.27272727 0.09090909 0.09090909 0.18181818 0.45454545 0.09090909
[2,] 0.18181818 0.27272727 0.45454545 0.36363636 0.09090909 0.18181818
[3,] 0.09090909 0.18181818 0.27272727 0.09090909 0.27272727 0.36363636
         [,294]     [,295]    [,296]    [,297]    [,298]     [,299]     [,300]
[1,] 0.27272727 0.45454545 0.4545455 0.2727273 0.1818182 0.09090909 0.09090909
[2,] 0.36363636 0.27272727 0.2727273 0.1818182 0.2727273 0.27272727 0.45454545
[3,] 0.09090909 0.09090909 0.3636364 0.3636364 0.3636364 0.18181818 0.27272727
         [,301]     [,302]     [,303]    [,304]    [,305]     [,306]    [,307]
[1,] 0.09090909 0.09090909 0.09090909 0.4545455 0.1818182 0.27272727 0.2727273
[2,] 0.18181818 0.45454545 0.27272727 0.2727273 0.3636364 0.09090909 0.1818182
[3,] 0.27272727 0.27272727 0.36363636 0.1818182 0.4545455 0.18181818 0.3636364
         [,308]     [,309]    [,310]    [,311]     [,312]     [,313]     [,314]
[1,] 0.18181818 0.09090909 0.2727273 0.1818182 0.09090909 0.09090909 0.09090909
[2,] 0.09090909 0.18181818 0.4545455 0.2727273 0.45454545 0.18181818 0.27272727
[3,] 0.27272727 0.27272727 0.3636364 0.3636364 0.27272727 0.27272727 0.36363636
        [,315]    [,316]     [,317]     [,318]     [,319]     [,320]    [,321]
[1,] 0.2727273 0.4545455 0.45454545 0.36363636 0.45454545 0.09090909 0.3636364
[2,] 0.3636364 0.3636364 0.09090909 0.18181818 0.18181818 0.18181818 0.1818182
[3,] 0.4545455 0.1818182 0.18181818 0.09090909 0.09090909 0.27272727 0.2727273
         [,322]    [,323]     [,324]     [,325]    [,326]    [,327]     [,328]
[1,] 0.27272727 0.3636364 0.09090909 0.09090909 0.4545455 0.4545455 0.09090909
[2,] 0.36363636 0.2727273 0.45454545 0.27272727 0.2727273 0.3636364 0.36363636
[3,] 0.09090909 0.1818182 0.18181818 0.36363636 0.3636364 0.2727273 0.45454545
        [,329]     [,330]     [,331]     [,332]     [,333]     [,334]
[1,] 0.2727273 0.27272727 0.09090909 0.09090909 0.09090909 0.09090909
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        [,1005]    [,1006]    [,1007]    [,1008]    [,1009]   [,1010]
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[2,] 0.45454545 0.18181818 0.45454545 0.45454545 0.18181818 0.3636364
[3,] 0.09090909 0.45454545 0.27272727 0.09090909 0.45454545 0.2727273
        [,1011]    [,1012]    [,1013]    [,1014]   [,1015]    [,1016]
[1,] 0.27272727 0.09090909 0.09090909 0.27272727 0.4545455 0.09090909
[2,] 0.09090909 0.18181818 0.18181818 0.09090909 0.1818182 0.18181818
[3,] 0.18181818 0.36363636 0.27272727 0.45454545 0.2727273 0.27272727
        [,1017]    [,1018]    [,1019]    [,1020]    [,1021]    [,1022]
[1,] 0.36363636 0.27272727 0.09090909 0.09090909 0.09090909 0.36363636
[2,] 0.27272727 0.09090909 0.18181818 0.45454545 0.18181818 0.09090909
[3,] 0.09090909 0.18181818 0.27272727 0.36363636 0.45454545 0.45454545
        [,1023]   [,1024]    [,1025]    [,1026]    [,1027]    [,1028]   [,1029]
[1,] 0.36363636 0.4545455 0.09090909 0.18181818 0.36363636 0.18181818 0.1818182
[2,] 0.18181818 0.2727273 0.45454545 0.09090909 0.27272727 0.09090909 0.2727273
[3,] 0.09090909 0.3636364 0.18181818 0.45454545 0.09090909 0.36363636 0.4545455
        [,1030]    [,1031]   [,1032]    [,1033]    [,1034]    [,1035]
[1,] 0.18181818 0.18181818 0.1818182 0.09090909 0.09090909 0.09090909
[2,] 0.36363636 0.27272727 0.3636364 0.27272727 0.18181818 0.18181818
[3,] 0.09090909 0.09090909 0.2727273 0.45454545 0.45454545 0.45454545
        [,1036]    [,1037]    [,1038]   [,1039]    [,1040]   [,1041]    [,1042]
[1,] 0.36363636 0.09090909 0.09090909 0.1818182 0.09090909 0.4545455 0.09090909
[2,] 0.09090909 0.18181818 0.36363636 0.2727273 0.45454545 0.1818182 0.18181818
[3,] 0.18181818 0.27272727 0.45454545 0.4545455 0.27272727 0.2727273 0.27272727
        [,1043]    [,1044]    [,1045]   [,1046]    [,1047]    [,1048]
[1,] 0.09090909 0.45454545 0.09090909 0.1818182 0.18181818 0.45454545
[2,] 0.18181818 0.18181818 0.36363636 0.4545455 0.09090909 0.18181818
[3,] 0.36363636 0.09090909 0.27272727 0.3636364 0.27272727 0.09090909
        [,1049]    [,1050]    [,1051]   [,1052]    [,1053]    [,1054]
[1,] 0.09090909 0.09090909 0.09090909 0.3636364 0.09090909 0.09090909
[2,] 0.18181818 0.18181818 0.18181818 0.4545455 0.36363636 0.18181818
[3,] 0.45454545 0.27272727 0.45454545 0.2727273 0.27272727 0.36363636
        [,1055]    [,1056]    [,1057]    [,1058]    [,1059]    [,1060]
[1,] 0.09090909 0.09090909 0.36363636 0.09090909 0.09090909 0.09090909
[2,] 0.18181818 0.18181818 0.09090909 0.18181818 0.27272727 0.18181818
[3,] 0.27272727 0.27272727 0.18181818 0.27272727 0.45454545 0.45454545
        [,1061]    [,1062]    [,1063]    [,1064]   [,1065]   [,1066]   [,1067]
[1,] 0.09090909 0.09090909 0.09090909 0.09090909 0.4545455 0.2727273 0.3636364
[2,] 0.18181818 0.45454545 0.45454545 0.18181818 0.1818182 0.4545455 0.2727273
[3,] 0.27272727 0.27272727 0.18181818 0.36363636 0.2727273 0.1818182 0.4545455
        [,1068]    [,1069]   [,1070]    [,1071]    [,1072]    [,1073]   [,1074]
[1,] 0.27272727 0.09090909 0.3636364 0.18181818 0.09090909 0.36363636 0.2727273
[2,] 0.09090909 0.45454545 0.1818182 0.09090909 0.36363636 0.18181818 0.4545455
[3,] 0.36363636 0.27272727 0.2727273 0.27272727 0.27272727 0.09090909 0.3636364
        [,1075]    [,1076]    [,1077]    [,1078]    [,1079]    [,1080]
[1,] 0.27272727 0.09090909 0.45454545 0.09090909 0.09090909 0.27272727
[2,] 0.36363636 0.18181818 0.36363636 0.45454545 0.18181818 0.09090909
[3,] 0.09090909 0.36363636 0.09090909 0.27272727 0.27272727 0.36363636
       [,1081]    [,1082]    [,1083]    [,1084]    [,1085]   [,1086]    [,1087]
[1,] 0.4545455 0.09090909 0.09090909 0.09090909 0.09090909 0.3636364 0.18181818
[2,] 0.3636364 0.36363636 0.36363636 0.18181818 0.18181818 0.1818182 0.09090909
[3,] 0.1818182 0.45454545 0.27272727 0.45454545 0.36363636 0.2727273 0.27272727
        [,1088]    [,1089]    [,1090]    [,1091]    [,1092]   [,1093]
[1,] 0.09090909 0.45454545 0.09090909 0.18181818 0.09090909 0.3636364
[2,] 0.45454545 0.09090909 0.36363636 0.27272727 0.18181818 0.2727273
[3,] 0.27272727 0.27272727 0.18181818 0.09090909 0.27272727 0.4545455
        [,1094]    [,1095]   [,1096]    [,1097]   [,1098]    [,1099]    [,1100]
[1,] 0.09090909 0.45454545 0.1818182 0.36363636 0.1818182 0.09090909 0.36363636
[2,] 0.18181818 0.09090909 0.3636364 0.09090909 0.2727273 0.18181818 0.45454545
[3,] 0.27272727 0.27272727 0.2727273 0.18181818 0.4545455 0.27272727 0.09090909
       [,1101]    [,1102]   [,1103]    [,1104]    [,1105]    [,1106]    [,1107]
[1,] 0.3636364 0.09090909 0.3636364 0.09090909 0.27272727 0.09090909 0.09090909
[2,] 0.2727273 0.45454545 0.4545455 0.18181818 0.09090909 0.18181818 0.18181818
[3,] 0.4545455 0.27272727 0.2727273 0.45454545 0.36363636 0.36363636 0.45454545
        [,1108]    [,1109]   [,1110]    [,1111]    [,1112]    [,1113]   [,1114]
[1,] 0.09090909 0.27272727 0.4545455 0.09090909 0.09090909 0.09090909 0.2727273
[2,] 0.27272727 0.45454545 0.2727273 0.18181818 0.45454545 0.27272727 0.4545455
[3,] 0.45454545 0.09090909 0.3636364 0.45454545 0.36363636 0.18181818 0.1818182
        [,1115]    [,1116]   [,1117]    [,1118]    [,1119]   [,1120]    [,1121]
[1,] 0.09090909 0.09090909 0.3636364 0.27272727 0.18181818 0.1818182 0.09090909
[2,] 0.36363636 0.18181818 0.2727273 0.09090909 0.09090909 0.2727273 0.45454545
[3,] 0.18181818 0.27272727 0.1818182 0.36363636 0.45454545 0.4545455 0.27272727
        [,1122]    [,1123]    [,1124]    [,1125]    [,1126]    [,1127]
[1,] 0.09090909 0.27272727 0.18181818 0.36363636 0.09090909 0.09090909
[2,] 0.18181818 0.18181818 0.09090909 0.09090909 0.45454545 0.18181818
[3,] 0.36363636 0.09090909 0.36363636 0.45454545 0.18181818 0.27272727
        [,1128]    [,1129]   [,1130]    [,1131]    [,1132]   [,1133]    [,1134]
[1,] 0.18181818 0.09090909 0.1818182 0.09090909 0.27272727 0.4545455 0.09090909
[2,] 0.09090909 0.18181818 0.2727273 0.45454545 0.09090909 0.2727273 0.36363636
[3,] 0.45454545 0.45454545 0.3636364 0.18181818 0.36363636 0.1818182 0.45454545
       [,1135]    [,1136]   [,1137]    [,1138]    [,1139]    [,1140]    [,1141]
[1,] 0.3636364 0.18181818 0.4545455 0.09090909 0.09090909 0.09090909 0.09090909
[2,] 0.4545455 0.09090909 0.2727273 0.36363636 0.18181818 0.18181818 0.18181818
[3,] 0.2727273 0.27272727 0.1818182 0.45454545 0.45454545 0.45454545 0.45454545
        [,1142]    [,1143]    [,1144]    [,1145]    [,1146]    [,1147]
[1,] 0.27272727 0.09090909 0.27272727 0.09090909 0.09090909 0.18181818
[2,] 0.36363636 0.18181818 0.09090909 0.18181818 0.27272727 0.09090909
[3,] 0.09090909 0.27272727 0.36363636 0.45454545 0.18181818 0.36363636
        [,1148]    [,1149]    [,1150]   [,1151]    [,1152]    [,1153]
[1,] 0.09090909 0.09090909 0.27272727 0.4545455 0.27272727 0.09090909
[2,] 0.18181818 0.18181818 0.09090909 0.3636364 0.09090909 0.18181818
[3,] 0.27272727 0.36363636 0.45454545 0.2727273 0.45454545 0.36363636
        [,1154]    [,1155]    [,1156]   [,1157]    [,1158]    [,1159]   [,1160]
[1,] 0.09090909 0.09090909 0.09090909 0.2727273 0.27272727 0.27272727 0.2727273
[2,] 0.18181818 0.45454545 0.36363636 0.1818182 0.09090909 0.18181818 0.1818182
[3,] 0.36363636 0.18181818 0.45454545 0.3636364 0.18181818 0.09090909 0.4545455
        [,1161]    [,1162]    [,1163]    [,1164]   [,1165]   [,1166]    [,1167]
[1,] 0.09090909 0.18181818 0.18181818 0.09090909 0.2727273 0.4545455 0.09090909
[2,] 0.27272727 0.27272727 0.09090909 0.36363636 0.3636364 0.3636364 0.18181818
[3,] 0.18181818 0.09090909 0.45454545 0.18181818 0.4545455 0.2727273 0.45454545
        [,1168]    [,1169]    [,1170]    [,1171]    [,1172]    [,1173]
[1,] 0.09090909 0.09090909 0.09090909 0.18181818 0.09090909 0.18181818
[2,] 0.18181818 0.36363636 0.18181818 0.09090909 0.18181818 0.36363636
[3,] 0.45454545 0.27272727 0.45454545 0.36363636 0.36363636 0.09090909
        [,1174]   [,1175]    [,1176]    [,1177]    [,1178]    [,1179]
[1,] 0.27272727 0.1818182 0.09090909 0.09090909 0.45454545 0.09090909
[2,] 0.09090909 0.2727273 0.45454545 0.18181818 0.36363636 0.27272727
[3,] 0.45454545 0.4545455 0.27272727 0.27272727 0.09090909 0.36363636
        [,1180]    [,1181]    [,1182]   [,1183]    [,1184]    [,1185]
[1,] 0.27272727 0.27272727 0.09090909 0.3636364 0.09090909 0.09090909
[2,] 0.18181818 0.09090909 0.18181818 0.4545455 0.18181818 0.45454545
[3,] 0.09090909 0.18181818 0.27272727 0.2727273 0.27272727 0.18181818
        [,1186]    [,1187]    [,1188]    [,1189]   [,1190]    [,1191]
[1,] 0.09090909 0.09090909 0.36363636 0.09090909 0.2727273 0.18181818
[2,] 0.18181818 0.45454545 0.09090909 0.36363636 0.4545455 0.36363636
[3,] 0.36363636 0.27272727 0.18181818 0.18181818 0.3636364 0.09090909
        [,1192]   [,1193]    [,1194]    [,1195]    [,1196]    [,1197]   [,1198]
[1,] 0.09090909 0.2727273 0.09090909 0.09090909 0.09090909 0.09090909 0.1818182
[2,] 0.27272727 0.3636364 0.27272727 0.27272727 0.18181818 0.36363636 0.3636364
[3,] 0.18181818 0.4545455 0.45454545 0.45454545 0.27272727 0.27272727 0.2727273
        [,1199]    [,1200]    [,1201]    [,1202]    [,1203]    [,1204]
[1,] 0.27272727 0.09090909 0.09090909 0.09090909 0.45454545 0.09090909
[2,] 0.36363636 0.36363636 0.27272727 0.27272727 0.09090909 0.45454545
[3,] 0.09090909 0.27272727 0.18181818 0.18181818 0.27272727 0.27272727
        [,1205]   [,1206]   [,1207]   [,1208]    [,1209]   [,1210]    [,1211]
[1,] 0.27272727 0.2727273 0.1818182 0.2727273 0.09090909 0.2727273 0.09090909
[2,] 0.09090909 0.4545455 0.2727273 0.4545455 0.36363636 0.4545455 0.27272727
[3,] 0.18181818 0.3636364 0.3636364 0.1818182 0.45454545 0.1818182 0.18181818
       [,1212]    [,1213]    [,1214]    [,1215]    [,1216]    [,1217]   [,1218]
[1,] 0.1818182 0.09090909 0.09090909 0.09090909 0.09090909 0.09090909 0.1818182
[2,] 0.4545455 0.18181818 0.18181818 0.45454545 0.27272727 0.27272727 0.2727273
[3,] 0.3636364 0.45454545 0.45454545 0.18181818 0.18181818 0.18181818 0.3636364
        [,1219]    [,1220]    [,1221]    [,1222]    [,1223]    [,1224]
[1,] 0.36363636 0.18181818 0.27272727 0.09090909 0.45454545 0.09090909
[2,] 0.09090909 0.27272727 0.09090909 0.18181818 0.36363636 0.36363636
[3,] 0.18181818 0.09090909 0.36363636 0.45454545 0.09090909 0.18181818
        [,1225]    [,1226]    [,1227]   [,1228]    [,1229]    [,1230]
[1,] 0.09090909 0.09090909 0.36363636 0.2727273 0.18181818 0.45454545
[2,] 0.45454545 0.27272727 0.09090909 0.4545455 0.09090909 0.27272727
[3,] 0.18181818 0.36363636 0.18181818 0.1818182 0.27272727 0.09090909
        [,1231]    [,1232]    [,1233]    [,1234]    [,1235]    [,1236]
[1,] 0.09090909 0.18181818 0.09090909 0.09090909 0.27272727 0.09090909
[2,] 0.18181818 0.09090909 0.18181818 0.18181818 0.09090909 0.18181818
[3,] 0.36363636 0.27272727 0.27272727 0.36363636 0.45454545 0.27272727
        [,1237]    [,1238]    [,1239]    [,1240]    [,1241]   [,1242]
[1,] 0.18181818 0.09090909 0.09090909 0.09090909 0.09090909 0.4545455
[2,] 0.09090909 0.18181818 0.18181818 0.18181818 0.45454545 0.1818182
[3,] 0.27272727 0.27272727 0.36363636 0.27272727 0.27272727 0.2727273
        [,1243]    [,1244]   [,1245]    [,1246]    [,1247]   [,1248]    [,1249]
[1,] 0.09090909 0.09090909 0.1818182 0.18181818 0.09090909 0.4545455 0.09090909
[2,] 0.45454545 0.27272727 0.2727273 0.09090909 0.27272727 0.3636364 0.45454545
[3,] 0.18181818 0.18181818 0.3636364 0.27272727 0.36363636 0.1818182 0.27272727
        [,1250]    [,1251]    [,1252]    [,1253]    [,1254]    [,1255]
[1,] 0.09090909 0.09090909 0.45454545 0.45454545 0.09090909 0.09090909
[2,] 0.18181818 0.27272727 0.27272727 0.09090909 0.36363636 0.18181818
[3,] 0.45454545 0.18181818 0.09090909 0.27272727 0.27272727 0.27272727
        [,1256]    [,1257]   [,1258]    [,1259]    [,1260]    [,1261]
[1,] 0.09090909 0.09090909 0.4545455 0.09090909 0.09090909 0.09090909
[2,] 0.18181818 0.18181818 0.3636364 0.36363636 0.18181818 0.36363636
[3,] 0.36363636 0.27272727 0.2727273 0.45454545 0.45454545 0.27272727
        [,1262]   [,1263]    [,1264]   [,1265]    [,1266]    [,1267]    [,1268]
[1,] 0.09090909 0.1818182 0.09090909 0.2727273 0.09090909 0.09090909 0.09090909
[2,] 0.18181818 0.2727273 0.18181818 0.1818182 0.18181818 0.45454545 0.45454545
[3,] 0.36363636 0.4545455 0.27272727 0.3636364 0.27272727 0.18181818 0.27272727
        [,1269]    [,1270]    [,1271]    [,1272]    [,1273]    [,1274]
[1,] 0.09090909 0.18181818 0.18181818 0.09090909 0.09090909 0.09090909
[2,] 0.18181818 0.09090909 0.09090909 0.36363636 0.18181818 0.18181818
[3,] 0.27272727 0.36363636 0.27272727 0.27272727 0.36363636 0.36363636
        [,1275]    [,1276]    [,1277]    [,1278]    [,1279]    [,1280]
[1,] 0.18181818 0.18181818 0.09090909 0.18181818 0.09090909 0.18181818
[2,] 0.09090909 0.09090909 0.27272727 0.09090909 0.18181818 0.09090909
[3,] 0.36363636 0.27272727 0.45454545 0.36363636 0.45454545 0.45454545
        [,1281]   [,1282]    [,1283]    [,1284]   [,1285]    [,1286]    [,1287]
[1,] 0.18181818 0.3636364 0.09090909 0.09090909 0.2727273 0.09090909 0.45454545
[2,] 0.45454545 0.1818182 0.45454545 0.18181818 0.3636364 0.27272727 0.27272727
[3,] 0.09090909 0.4545455 0.18181818 0.27272727 0.4545455 0.18181818 0.09090909
        [,1288]   [,1289]    [,1290]   [,1291]    [,1292]   [,1293]    [,1294]
[1,] 0.09090909 0.4545455 0.09090909 0.1818182 0.45454545 0.3636364 0.09090909
[2,] 0.18181818 0.1818182 0.45454545 0.2727273 0.09090909 0.4545455 0.18181818
[3,] 0.45454545 0.2727273 0.36363636 0.3636364 0.18181818 0.2727273 0.27272727
        [,1295]   [,1296]    [,1297]    [,1298]   [,1299]    [,1300]    [,1301]
[1,] 0.18181818 0.2727273 0.09090909 0.18181818 0.1818182 0.18181818 0.09090909
[2,] 0.09090909 0.4545455 0.18181818 0.09090909 0.2727273 0.36363636 0.45454545
[3,] 0.36363636 0.1818182 0.45454545 0.27272727 0.3636364 0.09090909 0.27272727
        [,1302]    [,1303]    [,1304]   [,1305]    [,1306]   [,1307]    [,1308]
[1,] 0.18181818 0.18181818 0.09090909 0.1818182 0.09090909 0.3636364 0.09090909
[2,] 0.36363636 0.09090909 0.36363636 0.2727273 0.18181818 0.2727273 0.27272727
[3,] 0.09090909 0.45454545 0.27272727 0.4545455 0.27272727 0.1818182 0.36363636
       [,1309]    [,1310]    [,1311]    [,1312]    [,1313]    [,1314]
[1,] 0.2727273 0.45454545 0.09090909 0.36363636 0.09090909 0.09090909
[2,] 0.1818182 0.18181818 0.18181818 0.09090909 0.27272727 0.27272727
[3,] 0.3636364 0.09090909 0.36363636 0.18181818 0.18181818 0.36363636
        [,1315]   [,1316]    [,1317]    [,1318]    [,1319]    [,1320]   [,1321]
[1,] 0.45454545 0.1818182 0.09090909 0.18181818 0.09090909 0.09090909 0.4545455
[2,] 0.09090909 0.2727273 0.18181818 0.09090909 0.27272727 0.18181818 0.3636364
[3,] 0.27272727 0.4545455 0.36363636 0.27272727 0.18181818 0.45454545 0.1818182
        [,1322]   [,1323]    [,1324]    [,1325]    [,1326]   [,1327]   [,1328]
[1,] 0.09090909 0.4545455 0.18181818 0.09090909 0.09090909 0.1818182 0.2727273
[2,] 0.45454545 0.1818182 0.09090909 0.18181818 0.45454545 0.4545455 0.3636364
[3,] 0.36363636 0.2727273 0.45454545 0.27272727 0.27272727 0.2727273 0.1818182
       [,1329]    [,1330]    [,1331]    [,1332]    [,1333]   [,1334]    [,1335]
[1,] 0.2727273 0.36363636 0.09090909 0.09090909 0.18181818 0.1818182 0.36363636
[2,] 0.4545455 0.18181818 0.18181818 0.18181818 0.09090909 0.3636364 0.18181818
[3,] 0.1818182 0.09090909 0.36363636 0.36363636 0.36363636 0.4545455 0.09090909
        [,1336]    [,1337]    [,1338]    [,1339]    [,1340]   [,1341]
[1,] 0.45454545 0.09090909 0.27272727 0.45454545 0.09090909 0.1818182
[2,] 0.09090909 0.18181818 0.09090909 0.09090909 0.45454545 0.4545455
[3,] 0.18181818 0.36363636 0.18181818 0.27272727 0.18181818 0.3636364
        [,1342]    [,1343]    [,1344]    [,1345]    [,1346]    [,1347]
[1,] 0.27272727 0.09090909 0.27272727 0.09090909 0.09090909 0.09090909
[2,] 0.09090909 0.36363636 0.09090909 0.36363636 0.18181818 0.18181818
[3,] 0.18181818 0.27272727 0.18181818 0.27272727 0.45454545 0.45454545
        [,1348]    [,1349]    [,1350]    [,1351]    [,1352]   [,1353]
[1,] 0.09090909 0.18181818 0.36363636 0.18181818 0.09090909 0.1818182
[2,] 0.45454545 0.09090909 0.09090909 0.36363636 0.36363636 0.4545455
[3,] 0.18181818 0.45454545 0.18181818 0.09090909 0.27272727 0.3636364
        [,1354]    [,1355]    [,1356]    [,1357]    [,1358]    [,1359]
[1,] 0.18181818 0.18181818 0.09090909 0.09090909 0.09090909 0.09090909
[2,] 0.09090909 0.09090909 0.18181818 0.36363636 0.18181818 0.18181818
[3,] 0.36363636 0.45454545 0.27272727 0.27272727 0.45454545 0.36363636
        [,1360]    [,1361]    [,1362]    [,1363]    [,1364]    [,1365]
[1,] 0.09090909 0.09090909 0.18181818 0.18181818 0.18181818 0.09090909
[2,] 0.27272727 0.18181818 0.09090909 0.45454545 0.09090909 0.18181818
[3,] 0.36363636 0.27272727 0.27272727 0.09090909 0.27272727 0.36363636
        [,1366]    [,1367]    [,1368]   [,1369]   [,1370]    [,1371]    [,1372]
[1,] 0.09090909 0.27272727 0.09090909 0.2727273 0.4545455 0.09090909 0.09090909
[2,] 0.45454545 0.09090909 0.18181818 0.3636364 0.2727273 0.18181818 0.18181818
[3,] 0.36363636 0.36363636 0.27272727 0.1818182 0.3636364 0.27272727 0.27272727
        [,1373]    [,1374]    [,1375]    [,1376]    [,1377]    [,1378]
[1,] 0.09090909 0.09090909 0.09090909 0.09090909 0.09090909 0.09090909
[2,] 0.18181818 0.18181818 0.45454545 0.18181818 0.18181818 0.27272727
[3,] 0.27272727 0.36363636 0.18181818 0.27272727 0.36363636 0.36363636
        [,1379]    [,1380]    [,1381]    [,1382]   [,1383]    [,1384]
[1,] 0.09090909 0.18181818 0.09090909 0.45454545 0.4545455 0.09090909
[2,] 0.18181818 0.45454545 0.27272727 0.09090909 0.1818182 0.18181818
[3,] 0.36363636 0.09090909 0.18181818 0.36363636 0.2727273 0.27272727
        [,1385]   [,1386]    [,1387]    [,1388]    [,1389]    [,1390]
[1,] 0.09090909 0.3636364 0.09090909 0.18181818 0.09090909 0.09090909
[2,] 0.18181818 0.2727273 0.18181818 0.27272727 0.18181818 0.36363636
[3,] 0.36363636 0.4545455 0.27272727 0.09090909 0.36363636 0.45454545
        [,1391]    [,1392]    [,1393]    [,1394]   [,1395]    [,1396]
[1,] 0.09090909 0.09090909 0.45454545 0.45454545 0.3636364 0.09090909
[2,] 0.45454545 0.45454545 0.18181818 0.09090909 0.4545455 0.45454545
[3,] 0.36363636 0.18181818 0.09090909 0.18181818 0.1818182 0.27272727
        [,1397]    [,1398]   [,1399]    [,1400]    [,1401]    [,1402]
[1,] 0.18181818 0.09090909 0.1818182 0.09090909 0.09090909 0.09090909
[2,] 0.27272727 0.18181818 0.2727273 0.18181818 0.18181818 0.27272727
[3,] 0.09090909 0.36363636 0.4545455 0.45454545 0.27272727 0.18181818
        [,1403]    [,1404]    [,1405]    [,1406]    [,1407]    [,1408]
[1,] 0.36363636 0.18181818 0.36363636 0.09090909 0.45454545 0.09090909
[2,] 0.09090909 0.09090909 0.09090909 0.45454545 0.09090909 0.45454545
[3,] 0.45454545 0.36363636 0.18181818 0.27272727 0.36363636 0.18181818
        [,1409]    [,1410]    [,1411]    [,1412]    [,1413]    [,1414]
[1,] 0.18181818 0.09090909 0.09090909 0.09090909 0.18181818 0.09090909
[2,] 0.09090909 0.18181818 0.18181818 0.18181818 0.45454545 0.18181818
[3,] 0.36363636 0.27272727 0.27272727 0.27272727 0.09090909 0.27272727
        [,1415]    [,1416]    [,1417]    [,1418]    [,1419]    [,1420]
[1,] 0.09090909 0.27272727 0.09090909 0.18181818 0.09090909 0.18181818
[2,] 0.27272727 0.09090909 0.18181818 0.09090909 0.45454545 0.09090909
[3,] 0.36363636 0.18181818 0.27272727 0.27272727 0.18181818 0.36363636
        [,1421]    [,1422]    [,1423]   [,1424]    [,1425]    [,1426]   [,1427]
[1,] 0.09090909 0.09090909 0.18181818 0.2727273 0.18181818 0.18181818 0.3636364
[2,] 0.18181818 0.27272727 0.09090909 0.4545455 0.09090909 0.45454545 0.2727273
[3,] 0.45454545 0.45454545 0.45454545 0.3636364 0.45454545 0.09090909 0.4545455
        [,1428]    [,1429]    [,1430]    [,1431]    [,1432]    [,1433]
[1,] 0.45454545 0.18181818 0.09090909 0.27272727 0.27272727 0.09090909
[2,] 0.09090909 0.09090909 0.18181818 0.18181818 0.18181818 0.36363636
[3,] 0.36363636 0.45454545 0.27272727 0.09090909 0.09090909 0.27272727
       [,1434]   [,1435]   [,1436]    [,1437]    [,1438]    [,1439]    [,1440]
[1,] 0.1818182 0.1818182 0.1818182 0.09090909 0.09090909 0.09090909 0.18181818
[2,] 0.4545455 0.4545455 0.2727273 0.18181818 0.18181818 0.18181818 0.45454545
[3,] 0.2727273 0.3636364 0.3636364 0.36363636 0.27272727 0.27272727 0.09090909
       [,1441]    [,1442]    [,1443]    [,1444]
[1,] 0.2727273 0.09090909 0.09090909 0.09090909
[2,] 0.3636364 0.27272727 0.36363636 0.18181818
[3,] 0.1818182 0.36363636 0.18181818 0.36363636
           [,1]
[1,] 0.27272727
[2,] 0.09090909
[3,] 0.18181818
[4,] 0.36363636