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Table 4 Evaluation of E[|Z|], E[X], fraction of unrealized inverse pairs, and chromosomal length

From: Inversion symmetry of DNA k-mer counts: validity and deviations

  k HG38 HG38M HG18 HG18M Mouse MouseM C eleg Cerevisiae Ecoli
E[|Z|] 1 4.154 3.943 4.560 5.406 6.928 11.001 2.814 2.057 1.273
2 2.581 2.316 3.260 3.417 3.695 5.652 1.548 1.682 1.479
3 1.707 1.769 1.983 2.152 2.780 3.904 1.589 1.434 1.318
4 1.446 1.392 1.339 1.492 1.809 2.342 1.397 1.000 1.012
5 1.202 1.186 1.069 1.133 1.262 1.490 1.216 0.867 0.921
6 1.057 1.001 0.930 0.943 0.990 1.070 1.075 0.791 0.852
7 0.984 0.935 0.894 0.884 0.892 0.902 0.980 0.780 0.837
8 0.929 0.883 0.867 0.845 0.843 0.839 0.893 0.787 0.815
9 0.881 0.855 0.843 0.828 0.823 0.819 0.851 0.841 0.811
10 0.844 0.831 0.825 0.816 0.815 0.813 0.824 0.902 0.815
11 0.825 0.821 0.816 0.814 0.813 0.814 0.835 0.940 0.856
12 0.824 0.829 0.821 0.826 0.822 0.828 0.881 0.956 0.916
E[X] 1 0.00038 0.00050 0.00041 0.00067 0.00068 0.00152 0.00099 0.00672 0.00083
2 0.00046 0.00058 0.00058 0.00083 0.00070 0.00150 0.00111 0.01021 0.00196
3 0.00067 0.00095 0.00077 0.00106 0.00121 0.00218 0.00260 0.01752 0.00350
4 0.00134 0.00179 0.00115 0.00170 0.00165 0.00283 0.00474 0.02527 0.00554
5 0.00247 0.00329 0.00206 0.00284 0.00260 0.00397 0.00839 0.04547 0.01067
6 0.00470 0.00593 0.00402 0.00537 0.00461 0.00636 0.01535 0.08576 0.02075
7 0.00942 0.01205 0.00852 0.01123 0.00941 0.01222 0.02905 0.18223 0.04362
8 0.01918 0.02472 0.01809 0.02355 0.01954 0.02505 0.05593 0.38663 0.08975
9 0.03951 0.05169 0.03850 0.04998 0.04226 0.05334 0.11437 0.64905 0.18551
10 0.08380 0.10979 0.08334 0.10736 0.09343 0.11601 0.24551 0.82906 0.36850
11 0.17518 0.22274 0.17538 0.21909 0.19196 0.23044 0.47655 0.91443 0.61571
12 0.31969 0.38249 0.32051 0.37838 0.33829 0.38843 0.68957 0.94564 0.81471
Fraction of null pairs 7         0.00110  
8         0.04863 0.00079
9   0.00001   0.00001   0.00002   0.48397 0.00954
10 0.00042 0.00130 0.00042 0.00127 0.00101 0.00217 0.00552 2.39166 0.06538
11 0.01460 0.02590 0.01471 0.02515 0.02289 0.03312 0.14178 9.83436 0.30279
12 0.09259 0.14336 0.09292 0.13934 0.11537 0.15551 0.85693 39.18 0.66052
length   2.3E + 08 1.1E + 08 2.2E + 08 1.2E + 08 1.9E + 08 1.1E + 08 1.5E + 07 230218 4639664
  1. Displayed results are for chr1 of HG38, HG18, mouse, C elegans, and S cerevisiae, and for the full bacterial chromosome of E coli. M refers to masked chromomes. Centromere regions were removed from the HG 38 data. Highlighted results are the ones determining the k-limit, KL, of the different chromosomes