Package Comparison Details, by dataset
| Table of Contents |
|---|
Female Mouse Liver (UCLA Tutorial)
Modules (3.7% different)
blue green brown red turquoise yellow grey black pink magenta purple greenyellow tan salmon cyan midnightblue lightcyan grey60
turquoise 522 0 0 0 0 171 0 0 0 0 0 0 0 0 0 0 0 0
blue 0 373 0 0 0 0 0 0 0 0 0 0 0 0 39 0 0 0
brown 0 0 358 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
yellow 0 0 0 331 0 0 0 0 0 0 0 0 0 0 0 0 0 0
green 0 0 0 0 323 0 0 0 0 0 0 0 0 0 0 0 0 0
red 0 0 0 0 0 256 0 0 0 0 0 0 0 0 0 0 0 0
black 0 0 0 0 203 0 0 0 0 0 0 0 0 0 0 0 0 0
grey 0 0 0 0 0 0 168 0 0 0 0 0 0 0 0 0 0 0
pink 0 0 0 0 0 0 0 134 0 0 0 0 0 0 0 0 0 0
magenta 0 0 0 0 0 0 0 0 122 0 0 0 0 0 0 0 0 0
purple 0 0 0 0 0 0 0 0 0 120 0 0 0 0 0 0 0 0
greenyellow 0 0 0 0 0 0 0 0 0 0 99 0 0 0 0 0 0 0
tan 0 0 0 0 0 0 0 0 0 0 0 86 0 0 0 0 0 0
salmon 0 0 0 0 0 0 0 0 0 0 0 0 76 0 0 0 0 0
cyan 0 0 72 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
midnightblue 0 0 0 0 0 0 0 0 0 0 0 0 0 43 0 0 0 0
lightcyan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 37 0 0
grey60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 34 0
lightgreen 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 33
Cranio Dataset
Soft Threshold Choice
Comparing the Sage code base to the UCLA-based package, we see a difference in the selection of the 'soft threshold' (beta). The former picked a value of 4.0 and the latter 4.5. Both packages save the details of the optimization process:This is the output from the UCLA algorithm::
Sage power table / Package power table (The optimum chosen by each is highlighted)
| Power | p-value | Adj R^2 | Truncated Adj R^2 | slope | mean(k) | median(k) | max(k) |
|
| Power | SFT.R.sq | slope | truncated.R.sq | mean.k. | median.k. | max.k. | |||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 0.736501290349614 1 | -1 | 0.707 | 0.991 | 1.18 | 700 | 700 | 1120 |
| 1 | 1 | 0.737 | 1.13578366310746 14 | 0.994431751751329 | 699.572313034948 | 699.648966320864 | 1116.02918233716 994 | 700 | 700 | 1120 |
2 | 1.5 | -1 | 0.231 | 0.969 | 0.332 | 440 | 424 | 840 |
| 2 | 1.5 | 0.251519543919548 252 | 0.297533023504088 298 | 0.97937139813633 | 439.899479746776 | 423.612496822198 | 840.47949387766 979 | 440 | 424 | 840 |
3 | 2 | -1 | 0.0114 | 0.903 | -0.136 | 296 | 269 | 668 |
| 3 | 2 | 0.119730110387487 12 | -0.163692811558184 164 | 0.91713459200463 | 295.588422458769 | 268.94730085273 | 667.945223302198 .917 | 296 | 269 | 668 |
4 | 2.5 | -1 | 0.523 | 0.921 | -0.444 | 209 | 178 | 549 |
| 4 | 2.5 | 0.622896623436384 623 | -0.491086993626836 491 | 0.900740857562872 | 208.537727229792 | 177.79413914117 | 549.155319758776 901 | 209 | 178 | 549 |
5 | 3 | -1 | 0.749 | 0.914 | -0.66 | 153 | 120 | 463 |
| 5 | 3 | 0.788460807596207 788 | -0.68266797986082 683 | 0.904 | 153 | 120 | 463 | |||
6 | 3.5 | -1 | 0.903728452209731 819 | 152 0.800323593864 892 | 120.243286725551 | 463.29082261878 -0.798 | 115 | 83.7 | 399 |
| 6 | 3.5 | 0.863229344305799 863 | -0.85737992139182 857 | 0.889320106067623 889 | 115 .448359595823 | 83.7476291500883 7 | 399 .156919651325 | ||
7 | 4 | -1 | 0.864 | 0.892 | -0.918 | 89.5 | 59.4 | 351 |
| 7 | 4 | 0.894834165325891895 | -0.951860705585135952 | 0.894194460202712894 | 89.4956876275135 | 59.4342800786908 350.910943247122 .4 | 351 | |||
8 | 4.5 | -1 | 0.884 | 0.888 | -1.01 | 70.9 | 42.2 | 313 |
| 8 | 4.5 | 0.906475253699557 906 | -1.04323304332767 04 | 0.88699005785024 887 | 70.9224191593446 9 | 42.2148824089728 312.992004152579 .2 | 313 | |||
9 | 5 | -1 | 0.879 | 0.872 | -1.08 | 57.3 | 30.5 | 283 |
| 9 | 5 | 0.917140610429364 917 | -1.08867663568657 09 | 0.893779632076047 894 | 57.2968574266249 3 | 30.4851790719122 282.652362917002 .5 | 283 | |||
10 | 5.5 | -1 | 0.887 | 0.878 | -1.12 | 47.1 | 22.6 | 258 |
| 10 | 5.5 | 0.902963257559623 903 | -1.12874378525066 13 | 0.876283735962727 876 | 47.0867813585159 1 | 22.5831735990022 257.887940247821 6 | 258 | |||
11 | 6 | -1 | 0.872 | 0.864 | -1.14 | 39.3 | 16.8 | 237 |
| 11 | 6 | 0.893657667984861 894 | -1.138641996747 14 | 0.872082886273499 872 | 39.2934112572874 3 | 16.7925249162364 8 | 237 .362271809525 | |||
12 | 6.5 | -1 | 0.853 | 0.849 | -1.16 | 33.2 | 12.5 | 220 |
| 12 | 6.5 | 0.877096891199445 877 | -1.16563222664169 17 | 0.860765166816465 861 | 33.2467401837027 2 | 12.5431252833217 5 | 220 .116544465302 | |||
13 | 7 | -1 | 0.849 | 0.857 | -1.16 | 28.5 | 9.75 | 205 |
| 13 | 7 | 0.867836927064159 868 | -1.17261710771242 17 | 0.86332246600206 863 | 28.4861111749774 5 | 9.75194877632007 75 | 205 .448215921732 | |||
14 | 7.5 | -1 | 0.836 | 0.861 | -1.16 | 24.7 | 7.44 | 193 |
| 14 | 7.5 | 0.868548947706417 869 | -1.15942033025233 16 | 0.888456324814093 888 | 24.6879610646154 7 | 7.43724266918352 192.83304720061 .44 | 193 | |||
15 | 8 | -1 | 0.831 | 0.873 | -1.15 | 21.6 | 5.73 | 182 |
| 15 | 8 | 0.85993341256465 86 | -1.14979252940141 15 | 0.889730024616774 89 | 21.6207148555113 | 5.72770680062926 | 181.87355758458 .6 | 5.73 | 182 | |
16 | 8.5 | -1 | 0.807 | 0.87 | -1.15 | 19.1 | 4.43 | 172 |
| 16 | 8.5 | 0.839526774373017 84 | -1.1454863855111 15 | 0.889555649590024 89 | 19.1158525842939 1 | 4.42968785517107 43 | 172 .264089318976 | |||
17 | 9 | -1 | 0.78 | 0.858 | -1.14 | 17 | 3.49 | 164 |
| 17 | 9 | 0.828450334938823 828 | -1.12976930526696 13 | 0.896114026911798 896 | 17 .0489014282755 | 3.48574207332117 | 163.766610421789 | 3.49 | 164 | |
18 | 9.5 | -1 | 0.792 | 0.889 | -1.11 | 15.3 | 2.75 | 156 |
| 18 | 9.5 | 0.824533609394867 825 | -1.10327784158547 1 | 0.912422650093755 912 | 15.3266812705319 3 | 2.74605181254734 75 | 156 .193631947154 | |||
19 | 10 | -1 | 0.782 | 0.906 | -1.09 | 13.9 | 2.18 | 149 |
| 19 | 10 | 0.805943284944799 806 | -1.08884406876998 09 | 0.914807175372563 915 | 13.8785832450612 9 | 2.18328519701562 18 | 149 .395941841956 | |||
20 | 10.5 | -1 | 0.759 | 0.897 | -1.07 | 12.7 | 1.74 | 143 |
| 20 | 10.5 | 0.800039898486579 8 | -1.0763656575682 08 | 0.920931944553393 921 | 12.6505039786172 7 | 1.74424089765862 74 | 143 .266795277355 | |||
21 | 11 | -1 | 0.747 | 0.902 | -1.06 | 11.6 | 1.4 | 138 |
| 21 | 11 | 0.788808310243576 789 | -1.05656008289991 06 | 0.933254569845571 | 11.6005616530767 | 1.40321696471758 | 137.745622540377 933 | 11.6 | 1.4 | 138 |
22 | 11.5 | -1 | 0.752 | 0.914 | -1.04 | 10.7 | 1.14 | 133 |
| 22 | 11.5 | 0.779205608927366 779 | -1.03924741920651 04 | 0.935482608107987 935 | 10.696027985041 | 1.14073738236037 | 132.707798864861 .7 | 1.14 | 133 | |
23 | 12 | -1 | 0.743 | 0.924 | -1.01 | 9.91 | 0.926 | 128 |
| 23 | 12 | 0.779321654012786 779 | -1.02460870779617 02 | 0.947336705575843 947 | 9.91110282257499 91 | 0.925552317403238 128.118730788473 926 | 128 |
Both algorithms try to find the lowest power whose R^2 is above the given threshold (0.90). If no power achieves the threshold then the threshold is decremented repeatedly by 0.05 until a solution is found. Since the Sage version finds a maximum of 0.887, it carries out the decrementing procedure. The UCLA version finds three values just above 0.90, and picks the lowest.
Modules
Unequal beta, module diff=44% | Identical beta, module diff=0.9% |
|---|---|
turquoise blue grey | turquoise blue grey |
Colon cancer, top 5K genes
Soft Threshold Choice
Cut | p-value | Adj R^2 | Truncated Adj R^2 | slope | mean(k) | median(k) | max(k) | Power | SFT.R.sq | slope | truncated.R.sq | mean.k. | median.k. | max.k. |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | -1 | 0.0227 | 0.628 | 0.245 | 1120 | 1080 | 2090 | 1 | 0.076261431 | 0.197158442 | 0.578527312 | 1124.638974 | 1080.609612 | 2089.60932 |
1.5 | -1 | 0.303 | 0.63 | -0.361 | 664 | 583 | 1560 | 1.5 | 0.48169911 | -0.404715749 | 0.667548985 | 664.3731336 | 582.9224274 | 1556.715216 |
2 | -1 | 0.693 | 0.795 | -0.657 | 427 | 330 | 1220 | 2 | 0.804272633 | -0.671388746 | 0.848889263 | 426.8848938 | 329.8816149 | 1215.968849 |
2.5 | -1 | 0.794 | 0.851 | -0.821 | 292 | 195 | 988 | 2.5 | 0.83774129 | -0.824722962 | 0.860045069 | 291.5785624 | 194.5178802 | 987.8658261 |
3 | -1 | 0.803 | 0.858 | -0.921 | 209 | 121 | 822 | 3 | 0.835678099 | -0.929654091 | 0.857157416 | 208.5830425 | 120.747754 | 822.3388256 |
3.5 | -1 | 0.778 | 0.843 | -1.01 | 155 | 77.7 | 697 | 3.5 | 0.854303701 | -0.991173832 | 0.88464139 | 154.6909499 | 77.68335319 | 697.1742337 |
4 | -1 | 0.797 | 0.86 | -1.06 | 118 | 50.4 | 600 | 4 | 0.858882119 | -1.038499794 | 0.896861118 | 118.0810366 | 50.39027229 | 599.5206128 |
4.5 | -1 | 0.805 | 0.875 | -1.1 | 92.3 | 33.2 | 521 | 4.5 | 0.838656539 | -1.088724946 | 0.885484443 | 92.28466832 | 33.16210354 | 521.4428092 |
5 | -1 | 0.806 | 0.881 | -1.14 | 73.6 | 22.7 | 458 | 5 | 0.825292656 | -1.128907991 | 0.87822147 | 73.55040348 | 22.67682493 | 457.77922 |
5.5 | -1 | 0.796 | 0.881 | -1.17 | 59.6 | 15.6 | 405 | 5.5 | 0.83215391 | -1.150386899 | 0.897853335 | 59.59567098 | 15.64824143 | 405.0274823 |
6 | -1 | 0.804 | 0.895 | -1.2 | 49 | 11.1 | 361 | 6 | 0.845996532 | -1.170462192 | 0.912613381 | 48.974624 | 11.08447179 | 360.7272536 |
6.5 | -1 | 0.802 | 0.902 | -1.22 | 40.7 | 8.15 | 323 | 6.5 | 0.847401052 | -1.190785046 | 0.919920844 | 40.73957671 | 8.15415001 | 323.099656 |
7 | -1 | 0.82 | 0.916 | -1.23 | 34.3 | 6 | 291 | 7 | 0.852903615 | -1.206125559 | 0.930763629 | 34.25083811 | 6.002829394 | 290.8269204 |
7.5 | -1 | 0.824 | 0.925 | -1.25 | 29.1 | 4.56 | 263 | 7.5 | 0.853122377 | -1.223895553 | 0.937931424 | 29.06544208 | 4.562225559 | 262.9124211 |
8 | -1 | 0.828 | 0.933 | -1.26 | 24.9 | 3.46 | 239 | 8 | 0.852375009 | -1.242759963 | 0.940436732 | 24.8696934 | 3.456350492 | 238.5887885 |
8.5 | -1 | 0.837 | 0.943 | -1.28 | 21.4 | 2.68 | 217 | 8.5 | 0.864808 | -1.252939098 | 0.94865967 | 21.43698937 | 2.680344008 | 217.2558463 |
9 | -1 | 0.845 | 0.948 | -1.29 | 18.6 | 2.14 | 198 | 9 | 0.868297799 | -1.270639687 | 0.954031038 | 18.60071642 | 2.140872759 | 198.437645 |
9.5 | -1 | 0.844 | 0.948 | -1.31 | 16.2 | 1.79 | 182 | 9.5 | 0.865440466 | -1.29104469 | 0.95381823 | 16.2364064 | 1.79054592 | 181.7520694 |
10 | -1 | 0.845 | 0.952 | -1.33 | 14.2 | 1.55 | 167 | 10 | 0.867269282 | -1.305137195 | 0.956043538 | 14.24973176 | 1.546465871 | 166.888929 |
10.5 | -1 | 0.828 | 0.937 | -1.36 | 12.6 | 1.34 | 154 | 10.5 | 0.844737719 | -1.338309611 | 0.935054066 | 12.5682699 | 1.342608295 | 153.5938942 |
11 | -1 | 0.839 | 0.945 | -1.37 | 11.1 | 1.15 | 142 | 11 | 0.852293764 | -1.338837015 | 0.942845287 | 11.13575271 | 1.153365724 | 141.6565405 |
11.5 | -1 | 0.798 | 0.908 | -1.41 | 9.91 | 1.02 | 131 | 11.5 | 0.822451916 | -1.370539998 | 0.915807049 | 9.907986177 | 1.023113579 | 130.9013282 |
12 | -1 | 0.805 | 0.911 | -1.42 | 8.85 | 0.917 | 121 | 12 | 0.831943361 | -1.384756316 | 0.921983468 | 8.849912231 | 0.91731928 | 121.1807115 |
Modules
Unequal beta, module diff=11% | Identical beta, module diff=0.5% |
|---|---|
turquoise blue brown yellow green grey | turquoise blue brown yellow green grey |
Human liver cohort, top 5K genes
Modules
Identical beta, module diff=1.0%
grey turquoise blue brown yellow green red black
grey 3573 0 0 0 0 0 0 0
turquoise 30 730 0 0 0 0 0 0
blue 0 0 261 0 0 0 0 0
brown 0 0 0 136 0 0 0 0
yellow 0 0 0 0 100 0 0 0
green 0 0 0 0 0 88 0 0
red 0 0 0 0 0 0 51 0
black 0 0 0 0 0 0 0 43
Comparison to published results
Module membership of P450 genes in the published Genome Research paper (as gathered from the supplemental materials):
NOT P450
grey 2005 9
turquoise 1314 47
blue 617 0
brown 451 0
yellow 192 0
green 106 0
red 75 0
black 71 0
pink 70 0
magenta 55 0
i.e. 47/56 are grouped into a single module and the remaining 6 are in no module.
Comparison of newly run Sage code to published modules:
grey turquoise brown blue green yellow red pink black magenta
grey 2006 677 259 250 106 104 71 70 48 12
turquoise 4 680 7 16 0 0 2 0 21 0
blue 4 2 2 253 0 0 0 0 0 0
brown 0 2 132 0 0 0 2 0 0 0
yellow 0 0 0 98 0 0 0 0 2 0
green 0 0 0 0 0 88 0 0 0 0
red 0 0 51 0 0 0 0 0 0 0
black 0 0 0 0 0 0 0 0 0 43
There is 39% difference. Checking the P450 genes:
NOT P450
grey 3580 23
turquoise 697 33
blue 261 0
brown 136 0
yellow 100 0
green 88 0
red 51 0
black 43 0
only 33 are grouped together, the remaining ones are unclustered.
The publication says beta was set to 5.5, not 11. The regression statistics for selecting beta are below, where "Cut" is the value of beta and "Adj R^2" is the value which should exceed a chosen threshold. When the threshold is set to the nominal value of 0.90 , beta=11 is the smallest value for which "Adj R^2" exceeds the threshold. The value of 5.5 would be selected if the threshold were set to 0.80.
Cut | p-value | Adj R^2 | Truncated Adj R^2 | slope | mean(k) | median(k) | max(k) |
|---|---|---|---|---|---|---|---|
1 | -1 | 0.12 | 0.871 | 0.841 | 949 | 939 | 1640 |
1.5 | -1 | -0.0707 | 0.854 | -0.11 | 508 | 486 | 1110 |
2 | -1 | 0.164 | 0.895 | -0.688 | 294 | 268 | 787 |
2.5 | -1 | 0.41 | 0.939 | -1.03 | 181 | 156 | 583 |
3 | -1 | 0.554 | 0.953 | -1.28 | 117 | 94.7 | 445 |
3.5 | -1 | 0.656 | 0.966 | -1.47 | 79 | 59.7 | 347 |
4 | -1 | 0.713 | 0.973 | -1.58 | 54.9 | 38.4 | 276 |
4.5 | -1 | 0.76 | 0.981 | -1.67 | 39.3 | 25.3 | 223 |
5 | -1 | 0.786 | 0.983 | -1.72 | 28.8 | 17 | 182 |
5.5 | -1 | 0.801 | 0.983 | -1.75 | 21.5 | 11.7 | 150 |
6 | -1 | 0.821 | 0.987 | -1.78 | 16.4 | 8.33 | 125 |
6.5 | -1 | 0.825 | 0.979 | -1.79 | 12.7 | 6.04 | 104 |
7 | -1 | 0.824 | 0.969 | -1.8 | 10 | 4.5 | 88.1 |
7.5 | -1 | 0.83 | 0.971 | -1.8 | 8.03 | 3.35 | 74.8 |
8 | -1 | 0.835 | 0.977 | -1.79 | 6.52 | 2.54 | 63.9 |
8.5 | -1 | 0.843 | 0.983 | -1.77 | 5.36 | 1.93 | 54.8 |
9 | -1 | 0.849 | 0.984 | -1.74 | 4.45 | 1.53 | 47.2 |
9.5 | -1 | 0.845 | 0.975 | -1.72 | 3.75 | 1.22 | 40.9 |
10 | -1 | 0.859 | 0.976 | -1.66 | 3.19 | 0.994 | 35.5 |
10.5 | -1 | 0.873 | 0.973 | -1.61 | 2.74 | 0.835 | 31 |
11 | -1 | 0.904 | 0.98 | -1.53 | 2.38 | 0.694 | 27.1 |
11.5 | -1 | 0.907 | 0.983 | -1.53 | 2.08 | 0.564 | 24.7 |
12 | -1 | 0.877 | 0.963 | -1.58 | 1.84 | 0.462 | 23.4 |
We reran the Sage code with beta=5.5:
grey blue turquoise brown yellow green red black pink magenta
grey 971 0 0 0 0 0 0 0 0 0
blue 4 617 0 0 0 0 0 0 0 0
brown 0 0 602 0 0 0 0 0 0 0
turquoise 170 0 0 439 0 0 75 0 0 0
yellow 5 0 347 0 0 0 0 0 0 0
green 0 0 272 0 0 0 0 0 0 0
red 39 0 0 0 192 0 0 0 0 0
magenta 148 0 0 0 0 0 0 0 0 0
black 126 0 0 12 0 0 0 0 70 0
pink 58 0 0 0 0 106 0 0 0 0
purple 0 0 104 0 0 0 0 0 0 0
tan 80 0 0 0 0 0 0 0 0 0
greenyellow 18 0 0 0 0 0 0 71 0 0
salmon 59 0 0 0 0 0 0 0 0 0
cyan 56 0 0 0 0 0 0 0 0 0
midnightblue 0 0 0 0 0 0 0 0 0 55
lightcyan 45 0 0 0 0 0 0 0 0 0
lightgreen 44 0 0 0 0 0 0 0 0 0
grey60 44 0 0 0 0 0 0 0 0 0
lightyellow 39 0 0 0 0 0 0 0 0 0
coral 38 0 0 0 0 0 0 0 0 0
sienna 0 0 36 0 0 0 0 0 0 0
gold 36 0 0 0 0 0 0 0 0 0
peru 34 0 0 0 0 0 0 0 0 0
and still got 18% difference in module membership. Checking the P450 genes:
NOT P450
grey 966 5
turquoise 682 2
blue 621 0
brown 591 11
yellow 349 3
green 244 28
red 231 0
black 208 0
pink 164 0
magenta 148 0
purple 101 3
greenyellow 89 0
tan 80 0
salmon 59 0
cyan 56 0
midnightblue 55 0
lightcyan 45 0
lightgreen 44 0
grey60 44 0
lightyellow 39 0
coral 38 0
sienna 34 2
peru 34 0
gold 34 2
i.e. 28 are grouped together. The rest are scattered across modules.
PARC
Modules
Unequal beta, module diff=4.7% | identical beta, module diff=0.6% |
|---|---|
grey turquoise brown blue yellow red green black magenta purple greenyellow pink | grey turquoise blue brown yellow green black red pink magenta purple greenyellow |
Methylation (full set)
Soft Threshold Choice
Cut | p-value | Adj R^2 | Truncated Adj R^2 | slope | mean(k) | median(k) | max(k) | Power | SFT.R.sq | slope | truncated.R.sq | mean.k. | median.k. | max.k. |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | -1 | -0.00512 | -0.0562 | 0.247 | 2120 | 2230 | 3640 | 1 | 0.039759972 | 0.169460948 | -0.042121587 | 7249.755797 | 7583.706845 | 12508.45604 |
1.5 | -1 | 0.0167 | 0.413 | -0.215 | 1410 | 1350 | 2880 | 1.5 | 0.140389955 | -0.269553255 | 0.59303507 | 4828.992487 | 4542.145536 | 10029.03836 |
2 | -1 | 0.184 | 0.688 | -0.366 | 1020 | 845 | 2400 | 2 | 0.276562808 | -0.390168503 | 0.631322022 | 3491.738926 | 2824.215768 | 8386.544599 |
2.5 | -1 | 0.257 | 0.645 | -0.414 | 778 | 541 | 2040 | 2.5 | 0.362446542 | -0.458433391 | 0.523661313 | 2655.348672 | 1808.299631 | 7173.887246 |
3 | -1 | 0.323 | 0.563 | -0.453 | 611 | 356 | 1760 | 3 | 0.42871745 | -0.515750913 | 0.431061197 | 2086.334341 | 1176.893287 | 6223.960796 |
3.5 | -1 | 0.386 | 0.51 | -0.49 | 491 | 238 | 1540 | 3.5 | 0.46604534 | -0.560354757 | 0.369873339 | 1676.348853 | 781.2514422 | 5452.12826 |
4 | -1 | 0.451 | 0.509 | -0.516 | 401 | 160 | 1350 | 4 | 0.493523645 | -0.60630005 | 0.358279952 | 1368.885142 | 527.8374153 | 4809.805129 |
4.5 | -1 | 0.504 | 0.513 | -0.545 | 331 | 112 | 1190 | 4.5 | 0.51122219 | -0.643452727 | 0.371756376 | 1131.587843 | 368.4541959 | 4266.321824 |
5 | -1 | 0.542 | 0.521 | -0.577 | 276 | 81 | 1050 | 5 | 0.522934331 | -0.681405777 | 0.399981701 | 944.5030783 | 259.4558865 | 3800.880221 |
5.5 | -1 | 0.571 | 0.536 | -0.608 | 232 | 57.9 | 939 | 5.5 | 0.532765178 | -0.72250099 | 0.440336737 | 794.5816675 | 186.1875426 | 3398.594443 |
6 | -1 | 0.588 | 0.556 | -0.636 | 196 | 42.3 | 838 | 6 | 0.543038666 | -0.754901305 | 0.481364519 | 672.8857753 | 135.1591844 | 3048.3654 |
6.5 | -1 | 0.612 | 0.591 | -0.664 | 167 | 30.8 | 750 | 6.5 | 0.546592526 | -0.787367292 | 0.521630192 | 573.065346 | 99.6082135 | 2741.653967 |
7 | -1 | 0.635 | 0.628 | -0.688 | 143 | 23 | 673 | 7 | 0.546688103 | -0.824100826 | 0.556997344 | 490.4753338 | 72.92787987 | 2471.728523 |
7.5 | -1 | 0.634 | 0.646 | -0.724 | 123 | 17.1 | 606 | 7.5 | 0.540586249 | -0.867631489 | 0.58655908 | 421.6371568 | 54.2456294 | 2233.179306 |
8 | -1 | 0.652 | 0.682 | -0.744 | 106 | 12.7 | 547 | 8 | 0.548418618 | -0.896985225 | 0.619099353 | 363.8954176 | 40.26400042 | 2021.591247 |
8.5 | -1 | 0.646 | 0.691 | -0.776 | 91.5 | 9.69 | 494 | 8.5 | 0.564768173 | -0.919427493 | 0.659981637 | 315.1907849 | 30.24453177 | 1833.315466 |
9 | -1 | 0.65 | 0.714 | -0.803 | 79.5 | 7.35 | 448 | 9 | 0.571866178 | -0.945524396 | 0.689291949 | 273.9048972 | 22.6602808 | 1665.30474 |
9.5 | -1 | 0.633 | 0.716 | -0.84 | 69.2 | 5.47 | 406 | 9.5 | 0.573099177 | -0.977455448 | 0.712350288 | 238.7515604 | 17.41343565 | 1514.991934 |
10 | -1 | 0.625 | 0.727 | -0.867 | 60.5 | 4.25 | 369 | 10 | 0.578839688 | -1.000683008 | 0.734565322 | 208.6986492 | 13.25463367 | 1380.198191 |
10.5 | -1 | 0.626 | 0.742 | -0.893 | 53 | 3.29 | 336 | 10.5 | 0.588455603 | -1.026903911 | 0.755386914 | 182.9109323 | 10.10196054 | 1259.062284 |
11 | -1 | 0.643 | 0.769 | -0.905 | 46.5 | 2.61 | 306 | 11 | 0.597054452 | -1.052133963 | 0.775670911 | 160.707503 | 7.788443435 | 1149.985372 |
11.5 | -1 | 0.657 | 0.79 | -0.926 | 40.9 | 2.05 | 279 | 11.5 | 0.608963051 | -1.071230234 | 0.793960474 | 141.5296132 | 6.067481982 | 1051.587206 |
12 | -1 | 0.669 | 0.809 | -0.941 | 36.1 | 1.57 | 255 | 12 | 0.605496603 | -1.104019616 | 0.800156429 | 124.9160557 | 4.734398295 | 962.6709874 |
Modules
Unequal beta, module diff=14% | Identical beta, module diff=0.2% |
|---|---|
turquoise grey blue brown yellow green red pink magenta black purple | turquoise grey blue brown yellow green red black pink magenta purple |