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The database currently contains 1,141,508 (Galois orbits of) newforms in 62,273 newspaces, and 14,417,694 of their embeddings into the complex numbers. In addition to the statistics below, you can also create your own.

See the completeness knowl for a description of the set of newforms that are included in these statistics.

Distribution of levels and weights

weight
1 2 3 4 5-8 9-16 17-32 33-64 65-316 Total
level
1 2 8 16 126 152
0.02% 0.16% 0.86% 8.58% 0.01%
2-10 4 10 58 154 333 675 1343 2577
0.03% 0.04% 0.26% 1.27% 6.86% 36.43% 91.42% 0.23%
11-100 29 634 570 864 3056 5125 4315 1162 15755
0.15% 0.06% 4.48% 3.04% 13.47% 42.41% 88.88% 62.71% 1.38%
101-1000 2101 32977 8561 12307 18156 6804 199 81105
10.88% 3.18% 67.34% 43.23% 80.00% 56.30% 4.10% 7.11%
1001-5000 17176 68539 3578 15285 1425 106003
88.97% 6.60% 28.14% 53.70% 6.28% 9.29%
5001-10000 76373 76373
7.36% 6.69%
10001-50000 702638 702638
67.69% 61.55%
50001-100000 9836 9836
0.95% 0.86%
100001-1000000 147069 147069
14.17% 12.88%
Total 19306 1038066 12713 28466 22695 12085 4855 1853 1469 1141508
1.69% 90.94% 1.11% 2.49% 1.99% 1.06% 0.43% 0.16% 0.13%

Distribution of levels and absolute dimension

abs. dimension
1 2 3 4 5 6-10 11-20 21-100 101-1000 1001-10000 10001-100000 Total
level
1 6 6 6 6 6 30 60 32 152
3.95% 3.95% 3.95% 3.95% 3.95% 19.74% 39.47% 21.05% 0.01%
2-10 349 184 150 182 138 491 346 616 121 2577
13.54% 7.14% 5.82% 7.06% 5.36% 19.05% 13.43% 23.90% 4.70% 0.23%
11-100 1700 1955 609 1286 336 2083 2077 4197 1454 58 15755
10.79% 12.41% 3.87% 8.16% 2.13% 13.22% 13.18% 26.64% 9.23% 0.37% 1.38%
101-1000 6691 10792 2213 8562 1307 11147 10481 19004 8898 1918 92 81105
8.25% 13.31% 2.73% 10.56% 1.61% 13.74% 12.92% 23.43% 10.97% 2.36% 0.11% 7.11%
1001-5000 19217 19386 5011 11643 2516 15772 12956 17804 1698 106003
18.13% 18.29% 4.73% 10.98% 2.37% 14.88% 12.22% 16.80% 1.60% 9.29%
5001-10000 20728 9505 4288 3923 2009 7757 8302 15430 4431 76373
27.14% 12.45% 5.61% 5.14% 2.63% 10.16% 10.87% 20.20% 5.80% 6.69%
10001-50000 176159 61554 24293 19793 11096 45754 57059 170903 130700 5327 702638
25.07% 8.76% 3.46% 2.82% 1.58% 6.51% 8.12% 24.32% 18.60% 0.76% 61.55%
50001-100000 670 229 17 1 1 8918 9836
6.81% 2.33% 0.17% 0.01% 0.01% 90.67% 0.86%
100001-1000000 7486 1675 92 3 1 23265 114547 147069
5.09% 1.14% 0.06% 0.00% 0.00% 15.82% 77.89% 12.88%
Total 233006 105286 36679 45399 17409 83035 91281 227986 147302 39486 114639 1141508
20.41% 9.22% 3.21% 3.98% 1.53% 7.27% 8.00% 19.97% 12.90% 3.46% 10.04%

Distribution of character orders and relative dimension

rel. dimension
1 2 3 4 5 6-10 11-20 21-100 101-1000 Total
character order
1 229267 84954 35946 29430 17199 66735 76829 201290 137074 878724
26.09% 9.67% 4.09% 3.35% 1.96% 7.59% 8.74% 22.91% 15.60% 88.81%
2 3739 10551 733 6877 210 7120 6403 11172 117 46922
7.97% 22.49% 1.56% 14.66% 0.45% 15.17% 13.65% 23.81% 0.25% 4.74%
3 4023 1547 926 743 454 1684 1303 1032 11 11723
34.32% 13.20% 7.90% 6.34% 3.87% 14.36% 11.11% 8.80% 0.09% 1.18%
4 2218 2058 175 1105 79 1544 1461 1979 102 10721
20.69% 19.20% 1.63% 10.31% 0.74% 14.40% 13.63% 18.46% 0.95% 1.08%
5 551 256 117 141 82 295 252 218 1912
28.82% 13.39% 6.12% 7.37% 4.29% 15.43% 13.18% 11.40% 0.19%
6-10 4991 3645 494 1667 240 2459 2395 4493 259 20643
24.18% 17.66% 2.39% 8.08% 1.16% 11.91% 11.60% 21.77% 1.25% 2.09%
11-20 2534 878 215 373 152 940 1172 2413 254 8931
28.37% 9.83% 2.41% 4.18% 1.70% 10.53% 13.12% 27.02% 2.84% 0.90%
21-100 2498 375 77 146 105 703 1107 3047 267 8325
30.01% 4.50% 0.92% 1.75% 1.26% 8.44% 13.30% 36.60% 3.21% 0.84%
101-1000 595 12 3 18 148 729 45 1550
38.39% 0.77% 0.19% 1.16% 9.55% 47.03% 2.90% 0.16%
Total 250416 104276 38686 40482 18521 81498 91070 226373 138129 989451
25.31% 10.54% 3.91% 4.09% 1.87% 8.24% 9.20% 22.88% 13.96%

Distribution of analytic ranks

analytic rank Unknown 0 1 2 3 \(\mathrm{avg}\ 0.33\)
count 859623 192245 87073 2566 1 281885
proportion 304.96% 68.20% 30.89% 0.91% 0.00% 100.00%

Distribution of projective images for weight 1 forms

projective image \(A_{4}\) \(S_{4}\) \(A_{5}\) \(D_{2}\) \(D_{3}\) \(D_{4}\) \(D_{5}\) \(D_{6}\) \(D_{7}\) \(D_{8}\)
count 458 1033 202 1311 2924 1648 1126 1940 581 536
proportion 2.37% 5.35% 1.05% 6.79% 15.15% 8.54% 5.83% 10.05% 3.01% 2.78%
projective image \(D_{9}\) \(D_{10}\) \(D_{11}\) \(D_{12}\) \(D_{13}\) \(D_{14}\) \(D_{15}\) \(D_{16}\) \(D_{17}\) \(D_{18}\)
count 733 639 267 764 154 258 452 204 75 402
proportion 3.80% 3.31% 1.38% 3.96% 0.80% 1.34% 2.34% 1.06% 0.39% 2.08%
projective image \(D_{19}\) \(D_{20}\) \(D_{21}\) \(D_{22}\) \(D_{23}\) \(D_{24}\) \(D_{25}\) \(D_{26}\) \(D_{27}\) \(D_{28}\)
count 50 234 185 122 59 153 65 87 95 115
proportion 0.26% 1.21% 0.96% 0.63% 0.31% 0.79% 0.34% 0.45% 0.49% 0.60%
projective image \(D_{29}\) \(D_{30}\) \(D_{31}\) \(D_{32}\) \(D_{33}\) \(D_{34}\) \(D_{35}\) \(D_{36}\) \(D_{37}\) \(D_{38}\)
count 42 259 17 49 74 25 60 165 13 18
proportion 0.22% 1.34% 0.09% 0.25% 0.38% 0.13% 0.31% 0.85% 0.07% 0.09%
projective image \(D_{39}\) \(D_{40}\) \(D_{41}\) \(D_{42}\) \(D_{43}\) \(D_{44}\) \(D_{45}\) \(D_{46}\) \(D_{47}\) \(D_{48}\)
count 55 78 26 101 10 42 58 23 5 59
proportion 0.28% 0.40% 0.13% 0.52% 0.05% 0.22% 0.30% 0.12% 0.03% 0.31%
projective image \(D_{49}\) \(D_{50}\) \(D_{51}\) \(D_{52}\) \(D_{53}\) \(D_{54}\) \(D_{55}\) \(D_{56}\) \(D_{57}\) \(D_{58}\)
count 13 33 23 55 12 37 25 24 17 16
proportion 0.07% 0.17% 0.12% 0.28% 0.06% 0.19% 0.13% 0.12% 0.09% 0.08%
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projective image \(A_{4}\) \(S_{4}\) \(A_{5}\) \(D_{2}\) \(D_{3}\) \(D_{4}\) \(D_{5}\) \(D_{6}\) \(D_{7}\) \(D_{8}\)
count 458 1033 202 1311 2924 1648 1126 1940 581 536
proportion 2.37% 5.35% 1.05% 6.79% 15.15% 8.54% 5.83% 10.05% 3.01% 2.78%
projective image \(D_{9}\) \(D_{10}\) \(D_{11}\) \(D_{12}\) \(D_{13}\) \(D_{14}\) \(D_{15}\) \(D_{16}\) \(D_{17}\) \(D_{18}\)
count 733 639 267 764 154 258 452 204 75 402
proportion 3.80% 3.31% 1.38% 3.96% 0.80% 1.34% 2.34% 1.06% 0.39% 2.08%
projective image \(D_{19}\) \(D_{20}\) \(D_{21}\) \(D_{22}\) \(D_{23}\) \(D_{24}\) \(D_{25}\) \(D_{26}\) \(D_{27}\) \(D_{28}\)
count 50 234 185 122 59 153 65 87 95 115
proportion 0.26% 1.21% 0.96% 0.63% 0.31% 0.79% 0.34% 0.45% 0.49% 0.60%
projective image \(D_{29}\) \(D_{30}\) \(D_{31}\) \(D_{32}\) \(D_{33}\) \(D_{34}\) \(D_{35}\) \(D_{36}\) \(D_{37}\) \(D_{38}\)
count 42 259 17 49 74 25 60 165 13 18
proportion 0.22% 1.34% 0.09% 0.25% 0.38% 0.13% 0.31% 0.85% 0.07% 0.09%
projective image \(D_{39}\) \(D_{40}\) \(D_{41}\) \(D_{42}\) \(D_{43}\) \(D_{44}\) \(D_{45}\) \(D_{46}\) \(D_{47}\) \(D_{48}\)
count 55 78 26 101 10 42 58 23 5 59
proportion 0.28% 0.40% 0.13% 0.52% 0.05% 0.22% 0.30% 0.12% 0.03% 0.31%
projective image \(D_{49}\) \(D_{50}\) \(D_{51}\) \(D_{52}\) \(D_{53}\) \(D_{54}\) \(D_{55}\) \(D_{56}\) \(D_{57}\) \(D_{58}\)
count 13 33 23 55 12 37 25 24 17 16
proportion 0.07% 0.17% 0.12% 0.28% 0.06% 0.19% 0.13% 0.12% 0.09% 0.08%
projective image \(D_{59}\) \(D_{60}\) \(D_{61}\) \(D_{62}\) \(D_{63}\) \(D_{64}\) \(D_{65}\) \(D_{66}\) \(D_{67}\) \(D_{68}\)
count 5 83 5 4 27 12 11 42 3 12
proportion 0.03% 0.43% 0.03% 0.02% 0.14% 0.06% 0.06% 0.22% 0.02% 0.06%
projective image \(D_{69}\) \(D_{70}\) \(D_{71}\) \(D_{72}\) \(D_{73}\) \(D_{74}\) \(D_{75}\) \(D_{76}\) \(D_{77}\) \(D_{78}\)
count 21 36 5 34 5 9 22 4 3 42
proportion 0.11% 0.19% 0.03% 0.18% 0.03% 0.05% 0.11% 0.02% 0.02% 0.22%
projective image \(D_{79}\) \(D_{80}\) \(D_{81}\) \(D_{82}\) \(D_{83}\) \(D_{84}\) \(D_{85}\) \(D_{86}\) \(D_{87}\) \(D_{88}\)
count 3 17 19 5 11 19 1 6 5 13
proportion 0.02% 0.09% 0.10% 0.03% 0.06% 0.10% 0.01% 0.03% 0.03% 0.07%
projective image \(D_{89}\) \(D_{90}\) \(D_{91}\) \(D_{92}\) \(D_{93}\) \(D_{94}\) \(D_{95}\) \(D_{96}\) \(D_{97}\) \(D_{98}\)
count 4 32 3 3 3 2 7 28 2 8
proportion 0.02% 0.17% 0.02% 0.02% 0.02% 0.01% 0.04% 0.15% 0.01% 0.04%
projective image \(D_{99}\) \(D_{100}\) \(D_{101}\) \(D_{102}\) \(D_{103}\) \(D_{104}\) \(D_{105}\) \(D_{106}\) \(D_{107}\) \(D_{108}\)
count 10 10 3 10 2 5 18 4 2 16
proportion 0.05% 0.05% 0.02% 0.05% 0.01% 0.03% 0.09% 0.02% 0.01% 0.08%
projective image \(D_{110}\) \(D_{111}\) \(D_{112}\) \(D_{113}\) \(D_{114}\) \(D_{115}\) \(D_{116}\) \(D_{117}\) \(D_{118}\) \(D_{119}\)
count 10 2 16 3 9 2 8 2 1 2
proportion 0.05% 0.01% 0.08% 0.02% 0.05% 0.01% 0.04% 0.01% 0.01% 0.01%
projective image \(D_{120}\) \(D_{121}\) \(D_{122}\) \(D_{123}\) \(D_{124}\) \(D_{125}\) \(D_{126}\) \(D_{127}\) \(D_{128}\) \(D_{129}\)
count 13 1 3 1 1 4 12 1 5 1
proportion 0.07% 0.01% 0.02% 0.01% 0.01% 0.02% 0.06% 0.01% 0.03% 0.01%
projective image \(D_{130}\) \(D_{131}\) \(D_{132}\) \(D_{134}\) \(D_{135}\) \(D_{136}\) \(D_{137}\) \(D_{138}\) \(D_{139}\) \(D_{140}\)
count 4 4 6 1 5 8 1 10 2 9
proportion 0.02% 0.02% 0.03% 0.01% 0.03% 0.04% 0.01% 0.05% 0.01% 0.05%
projective image \(D_{141}\) \(D_{142}\) \(D_{143}\) \(D_{144}\) \(D_{145}\) \(D_{146}\) \(D_{147}\) \(D_{148}\) \(D_{150}\) \(D_{151}\)
count 2 3 1 8 1 2 2 3 7 1
proportion 0.01% 0.02% 0.01% 0.04% 0.01% 0.01% 0.01% 0.02% 0.04% 0.01%
projective image \(D_{153}\) \(D_{154}\) \(D_{155}\) \(D_{156}\) \(D_{158}\) \(D_{159}\) \(D_{160}\) \(D_{161}\) \(D_{162}\) \(D_{163}\)
count 5 1 2 16 2 1 1 1 5 1
proportion 0.03% 0.01% 0.01% 0.08% 0.01% 0.01% 0.01% 0.01% 0.03% 0.01%
projective image \(D_{165}\) \(D_{166}\) \(D_{168}\) \(D_{169}\) \(D_{170}\) \(D_{171}\) \(D_{172}\) \(D_{173}\) \(D_{175}\) \(D_{176}\)
count 6 1 5 1 1 1 3 3 3 2
proportion 0.03% 0.01% 0.03% 0.01% 0.01% 0.01% 0.02% 0.02% 0.02% 0.01%
projective image \(D_{177}\) \(D_{178}\) \(D_{179}\) \(D_{180}\) \(D_{181}\) \(D_{182}\) \(D_{183}\) \(D_{186}\) \(D_{187}\) \(D_{188}\)
count 2 1 1 12 1 1 1 2 1 1
proportion 0.01% 0.01% 0.01% 0.06% 0.01% 0.01% 0.01% 0.01% 0.01% 0.01%
projective image \(D_{189}\) \(D_{190}\) \(D_{192}\) \(D_{193}\) \(D_{194}\) \(D_{195}\) \(D_{196}\) \(D_{198}\) \(D_{199}\) \(D_{200}\)
count 4 1 4 1 1 3 2 2 1 3
proportion 0.02% 0.01% 0.02% 0.01% 0.01% 0.02% 0.01% 0.01% 0.01% 0.02%
projective image \(D_{202}\) \(D_{203}\) \(D_{204}\) \(D_{205}\) \(D_{206}\) \(D_{207}\) \(D_{208}\) \(D_{209}\) \(D_{210}\) \(D_{213}\)
count 2 1 1 3 1 2 3 1 7 2
proportion 0.01% 0.01% 0.01% 0.02% 0.01% 0.01% 0.02% 0.01% 0.04% 0.01%
projective image \(D_{214}\) \(D_{215}\) \(D_{216}\) \(D_{217}\) \(D_{219}\) \(D_{220}\) \(D_{221}\) \(D_{224}\) \(D_{228}\) \(D_{231}\)
count 1 2 2 1 1 2 3 2 2 1
proportion 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.02% 0.01% 0.01% 0.01%
projective image \(D_{232}\) \(D_{233}\) \(D_{234}\) \(D_{235}\) \(D_{238}\) \(D_{243}\) \(D_{244}\) \(D_{245}\) \(D_{249}\) \(D_{253}\)
count 1 1 2 1 1 1 1 2 4 1
proportion 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.02% 0.01%
projective image \(D_{258}\) \(D_{270}\) \(D_{273}\) \(D_{278}\) \(D_{284}\) \(D_{285}\)
count 1 1 1 1 1 1
proportion 0.01% 0.01% 0.01% 0.01% 0.01% 0.01%
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Distribution of number of newforms in \(S_k(N, \chi)\)

newforms Unknown 0 1 2 3 4 5 6 7 8
count 558562 860189 23501 13877 3718 5962 2574 1906 990 1877
proportion 60.55% 93.25% 2.55% 1.50% 0.40% 0.65% 0.28% 0.21% 0.11% 0.20%
newforms 9 10 11 12 13 14 15 16 17 18
count 961 901 602 637 460 425 317 344 248 298
proportion 0.10% 0.10% 0.07% 0.07% 0.05% 0.05% 0.03% 0.04% 0.03% 0.03%
newforms 19 20 21 22 23 24 25 26 27 28
count 201 220 129 187 113 158 95 128 85 107
proportion 0.02% 0.02% 0.01% 0.02% 0.01% 0.02% 0.01% 0.01% 0.01% 0.01%
newforms 29 30 31 32 33 34 35 36 37 38
count 81 92 64 81 50 58 57 65 41 62
proportion 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.00% 0.01%
newforms 39 40 41 42 43 44 45 46 47 48
count 34 43 28 31 27 29 22 30 18 35
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
newforms 49 50 51 52 53 54 55 56 57 58
count 18 23 11 17 17 16 7 18 7 17
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
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newforms Unknown 0 1 2 3 4 5 6 7 8
count 558562 860189 23501 13877 3718 5962 2574 1906 990 1877
proportion 60.55% 93.25% 2.55% 1.50% 0.40% 0.65% 0.28% 0.21% 0.11% 0.20%
newforms 9 10 11 12 13 14 15 16 17 18
count 961 901 602 637 460 425 317 344 248 298
proportion 0.10% 0.10% 0.07% 0.07% 0.05% 0.05% 0.03% 0.04% 0.03% 0.03%
newforms 19 20 21 22 23 24 25 26 27 28
count 201 220 129 187 113 158 95 128 85 107
proportion 0.02% 0.02% 0.01% 0.02% 0.01% 0.02% 0.01% 0.01% 0.01% 0.01%
newforms 29 30 31 32 33 34 35 36 37 38
count 81 92 64 81 50 58 57 65 41 62
proportion 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.00% 0.01%
newforms 39 40 41 42 43 44 45 46 47 48
count 34 43 28 31 27 29 22 30 18 35
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
newforms 49 50 51 52 53 54 55 56 57 58
count 18 23 11 17 17 16 7 18 7 17
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
newforms 59 60 61 62 63 64 65 66 67 68
count 13 8 5 8 8 13 4 7 4 11
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
newforms 69 70 71 72 73 74 75 76 77 78
count 3 5 1 4 3 7 3 6 3 1
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
newforms 79 80 81 82 83 84 85 86 88 90
count 2 6 3 1 3 3 2 1 3 1
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
newforms 92 94 96 99 100 101 105 107 118 128
count 2 1 1 1 1 1 1 1 1 1
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
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Distribution of inner twists

inner twists Unknown 1 2 4 6 8 10 12 16 20
count 416944 607634 72068 38059 30 6263 6 58 392 6
proportion 36.53% 53.23% 6.31% 3.33% 0.00% 0.55% 0.00% 0.01% 0.03% 0.00%
inner twists 24 32 40 44 56
count 14 24 7 1 2
proportion 0.00% 0.00% 0.00% 0.00% 0.00%

Distribution of self twist types by weights

weight
1 2 3 4 5-8 9-16 17-32 33-64 65-316 Total
self twist type
neither 1693 1016807 11173 27903 21484 11303 4492 1690 1367 1097912
8.77% 99.70% 87.89% 98.02% 94.66% 93.53% 92.52% 91.20% 93.06% 97.74%
CM only 15841 3105 1540 563 1211 782 363 163 102 23670
82.05% 0.30% 12.11% 1.98% 5.34% 6.47% 7.48% 8.80% 6.94% 2.11%
RM only 461 461
2.39% 0.04%
both 1311 1311
6.79% 0.12%

Distribution of complex multiplication

CM disc -3 -4 -7 -8 -11 -15 -19 -20 -23 -24
count 4361 3030 1498 1530 1114 857 574 703 514 589
proportion 16.59% 11.52% 5.70% 5.82% 4.24% 3.26% 2.18% 2.67% 1.95% 2.24%
CM disc -31 -35 -39 -40 -43 -47 -51 -52 -55 -56
count 382 374 312 308 121 242 230 173 211 258
proportion 1.45% 1.42% 1.19% 1.17% 0.46% 0.92% 0.87% 0.66% 0.80% 0.98%
CM disc -59 -67 -68 -71 -79 -83 -84 -87 -88 -91
count 205 54 170 122 98 118 169 149 71 88
proportion 0.78% 0.21% 0.65% 0.46% 0.37% 0.45% 0.64% 0.57% 0.27% 0.33%
CM disc -95 -103 -104 -107 -111 -115 -116 -119 -120 -123
count 115 70 127 69 113 58 105 102 99 52
proportion 0.44% 0.27% 0.48% 0.26% 0.43% 0.22% 0.40% 0.39% 0.38% 0.20%
CM disc -127 -131 -132 -136 -139 -143 -148 -151 -152 -155
count 52 63 87 62 45 90 28 41 71 63
proportion 0.20% 0.24% 0.33% 0.24% 0.17% 0.34% 0.11% 0.16% 0.27% 0.24%
CM disc -159 -163 -164 -167 -168 -179 -183 -184 -187 -191
count 70 13 57 34 39 44 51 36 18 41
proportion 0.27% 0.05% 0.22% 0.13% 0.15% 0.17% 0.19% 0.14% 0.07% 0.16%
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CM disc -3 -4 -7 -8 -11 -15 -19 -20 -23 -24
count 4361 3030 1498 1530 1114 857 574 703 514 589
proportion 16.59% 11.52% 5.70% 5.82% 4.24% 3.26% 2.18% 2.67% 1.95% 2.24%
CM disc -31 -35 -39 -40 -43 -47 -51 -52 -55 -56
count 382 374 312 308 121 242 230 173 211 258
proportion 1.45% 1.42% 1.19% 1.17% 0.46% 0.92% 0.87% 0.66% 0.80% 0.98%
CM disc -59 -67 -68 -71 -79 -83 -84 -87 -88 -91
count 205 54 170 122 98 118 169 149 71 88
proportion 0.78% 0.21% 0.65% 0.46% 0.37% 0.45% 0.64% 0.57% 0.27% 0.33%
CM disc -95 -103 -104 -107 -111 -115 -116 -119 -120 -123
count 115 70 127 69 113 58 105 102 99 52
proportion 0.44% 0.27% 0.48% 0.26% 0.43% 0.22% 0.40% 0.39% 0.38% 0.20%
CM disc -127 -131 -132 -136 -139 -143 -148 -151 -152 -155
count 52 63 87 62 45 90 28 41 71 63
proportion 0.20% 0.24% 0.33% 0.24% 0.17% 0.34% 0.11% 0.16% 0.27% 0.24%
CM disc -159 -163 -164 -167 -168 -179 -183 -184 -187 -191
count 70 13 57 34 39 44 51 36 18 41
proportion 0.27% 0.05% 0.22% 0.13% 0.15% 0.17% 0.19% 0.14% 0.07% 0.16%
CM disc -195 -199 -203 -211 -212 -215 -219 -223 -227 -228
count 40 37 35 25 40 35 40 21 18 22
proportion 0.15% 0.14% 0.13% 0.10% 0.15% 0.13% 0.15% 0.08% 0.07% 0.08%
CM disc -231 -232 -235 -239 -244 -247 -248 -251 -255 -259
count 56 9 20 45 31 24 32 26 37 29
proportion 0.21% 0.03% 0.08% 0.17% 0.12% 0.09% 0.12% 0.10% 0.14% 0.11%
CM disc -260 -263 -264 -267 -271 -276 -280 -283 -287 -291
count 36 21 47 10 15 39 13 21 29 16
proportion 0.14% 0.08% 0.18% 0.04% 0.06% 0.15% 0.05% 0.08% 0.11% 0.06%
CM disc -292 -295 -296 -299 -303 -307 -308 -311 -312 -319
count 17 17 28 32 27 12 24 16 10 20
proportion 0.06% 0.06% 0.11% 0.12% 0.10% 0.05% 0.09% 0.06% 0.04% 0.08%
CM disc -323 -327 -328 -331 -335 -339 -340 -344 -347 -355
count 13 33 13 9 19 20 14 17 9 15
proportion 0.05% 0.13% 0.05% 0.03% 0.07% 0.08% 0.05% 0.06% 0.03% 0.06%
CM disc -356 -359 -367 -371 -372 -376 -379 -383 -388 -391
count 24 11 12 19 12 18 9 9 14 20
proportion 0.09% 0.04% 0.05% 0.07% 0.05% 0.07% 0.03% 0.03% 0.05% 0.08%
CM disc -395 -399 -403 -404 -407 -408 -411 -415 -419 -420
count 22 29 8 18 14 10 16 13 16 20
proportion 0.08% 0.11% 0.03% 0.07% 0.05% 0.04% 0.06% 0.05% 0.06% 0.08%
CM disc -424 -427 -431 -435 -436 -439 -440 -443 -447 -451
count 14 8 17 15 14 25 26 8 11 18
proportion 0.05% 0.03% 0.06% 0.06% 0.05% 0.10% 0.10% 0.03% 0.04% 0.07%
CM disc -452 -455 -456 -463 -467 -471 -472 -479 -483 -487
count 3 14 10 4 7 6 6 12 6 4
proportion 0.01% 0.05% 0.04% 0.02% 0.03% 0.02% 0.02% 0.05% 0.02% 0.02%
CM disc -488 -491 -499 -503 -511 -515 -516 -519 -523 -527
count 8 8 6 6 8 5 16 8 7 6
proportion 0.03% 0.03% 0.02% 0.02% 0.03% 0.02% 0.06% 0.03% 0.03% 0.02%
CM disc -532 -535 -536 -543 -547 -548 -551 -552 -555 -559
count 2 7 6 5 6 3 12 10 6 9
proportion 0.01% 0.03% 0.02% 0.02% 0.02% 0.01% 0.05% 0.04% 0.02% 0.03%
CM disc -563 -564 -568 -571 -579 -580 -583 -584 -587 -591
count 6 8 2 7 10 7 2 7 5 5
proportion 0.02% 0.03% 0.01% 0.03% 0.04% 0.03% 0.01% 0.03% 0.02% 0.02%
CM disc -595 -596 -599 -607 -611 -615 -616 -619 -623 -627
count 4 6 6 1 8 6 8 5 2 6
proportion 0.02% 0.02% 0.02% 0.00% 0.03% 0.02% 0.03% 0.02% 0.01% 0.02%
CM disc -628 -631 -632 -635 -643 -644 -647 -651 -655 -659
count 4 3 4 7 2 8 1 10 7 5
proportion 0.02% 0.01% 0.02% 0.03% 0.01% 0.03% 0.00% 0.04% 0.03% 0.02%
CM disc -660 -663 -664 -667 -671 -679 -680 -683 -687 -691
count 4 4 6 4 14 7 10 3 5 5
proportion 0.02% 0.02% 0.02% 0.02% 0.05% 0.03% 0.04% 0.01% 0.02% 0.02%
CM disc -692 -695 -696 -699 -703 -707 -708 -712 -715 -719
count 4 11 12 10 2 4 2 4 4 3
proportion 0.02% 0.04% 0.05% 0.04% 0.01% 0.02% 0.01% 0.02% 0.02% 0.01%
CM disc -723 -724 -727 -728 -731 -739 -740 -743 -744 -751
count 5 6 1 8 9 5 8 3 12 7
proportion 0.02% 0.02% 0.00% 0.03% 0.03% 0.02% 0.03% 0.01% 0.05% 0.03%
CM disc -755 -759 -763 -767 -771 -772 -776 -779 -787 -788
count 16 12 4 2 6 2 10 10 3 4
proportion 0.06% 0.05% 0.02% 0.01% 0.02% 0.01% 0.04% 0.04% 0.01% 0.02%
CM disc -791 -795 -799 -803 -804 -807 -808 -811 -815 -820
count 5 4 4 6 8 2 4 3 6 6
proportion 0.02% 0.02% 0.02% 0.02% 0.03% 0.01% 0.02% 0.01% 0.02% 0.02%
CM disc -823 -824 -827 -831 -835 -836 -839 -843 -851 -852
count 2 8 3 4 4 8 3 4 6 4
proportion 0.01% 0.03% 0.01% 0.02% 0.02% 0.03% 0.01% 0.02% 0.02% 0.02%
CM disc -856 -859 -863 -868 -871 -872 -879 -883 -884 -887
count 4 3 3 4 2 4 2 2 10 1
proportion 0.02% 0.01% 0.01% 0.02% 0.01% 0.02% 0.01% 0.01% 0.04% 0.00%
CM disc -888 -895 -899 -903 -904 -907 -911 -915 -916 -919
count 8 3 6 4 4 2 1 8 4 1
proportion 0.03% 0.01% 0.02% 0.02% 0.02% 0.01% 0.00% 0.03% 0.02% 0.00%
CM disc -920 -923 -932 -935 -939 -943 -947 -948 -951 -952
count 8 6 6 4 6 3 3 8 2 4
proportion 0.03% 0.02% 0.02% 0.02% 0.02% 0.01% 0.01% 0.03% 0.01% 0.02%
CM disc -955 -959 -964 -967 -971 -979 -983 -984 -987 -991
count 4 7 6 1 5 6 3 8 8 1
proportion 0.02% 0.03% 0.02% 0.00% 0.02% 0.02% 0.01% 0.03% 0.03% 0.00%
CM disc -995 -996 -1003 -1007 -1011 -1015 -1016 -1019 -1023 -1027
count 6 8 1 6 4 4 3 1 4 1
proportion 0.02% 0.03% 0.00% 0.02% 0.02% 0.02% 0.01% 0.00% 0.02% 0.00%
CM disc -1028 -1031 -1032 -1039 -1043 -1047 -1048 -1051 -1055 -1059
count 3 3 2 1 2 3 2 1 7 2
proportion 0.01% 0.01% 0.01% 0.00% 0.01% 0.01% 0.01% 0.00% 0.03% 0.01%
CM disc -1060 -1063 -1064 -1067 -1076 -1079 -1087 -1091 -1095 -1096
count 2 1 4 4 2 2 2 1 4 4
proportion 0.01% 0.00% 0.02% 0.02% 0.01% 0.01% 0.01% 0.00% 0.02% 0.02%
CM disc -1099 -1103 -1108 -1111 -1112 -1115 -1119 -1123 -1124 -1128
count 2 1 2 2 2 2 4 1 4 2
proportion 0.01% 0.00% 0.01% 0.01% 0.01% 0.01% 0.02% 0.00% 0.02% 0.01%
CM disc -1131 -1135 -1139 -1140 -1144 -1147 -1151 -1159 -1160 -1163
count 2 4 3 4 4 2 1 3 4 1
proportion 0.01% 0.02% 0.01% 0.02% 0.02% 0.01% 0.00% 0.01% 0.02% 0.00%
CM disc -1167 -1171 -1172 -1187 -1191 -1192 -1195 -1199 -1203 -1204
count 2 1 4 2 6 2 2 2 2 2
proportion 0.01% 0.00% 0.02% 0.01% 0.02% 0.01% 0.01% 0.01% 0.01% 0.01%
CM disc -1207 -1208 -1211 -1219 -1220 -1223 -1227 -1231 -1235 -1236
count 4 4 2 2 4 3 1 3 4 4
proportion 0.02% 0.02% 0.01% 0.01% 0.02% 0.01% 0.00% 0.01% 0.02% 0.02%
CM disc -1239 -1240 -1243 -1247 -1252 -1255 -1256 -1259 -1263 -1267
count 6 2 1 2 2 4 2 3 4 2
proportion 0.02% 0.01% 0.00% 0.01% 0.01% 0.02% 0.01% 0.01% 0.02% 0.01%
CM disc -1268 -1271 -1272 -1279 -1283 -1284 -1288 -1291 -1295 -1299
count 2 6 4 1 1 4 2 2 8 2
proportion 0.01% 0.02% 0.02% 0.00% 0.00% 0.02% 0.01% 0.01% 0.03% 0.01%
CM disc -1303 -1304 -1307 -1311 -1315 -1316 -1319 -1327 -1335 -1336
count 1 2 1 4 2 8 5 3 4 4
proportion 0.00% 0.01% 0.00% 0.02% 0.01% 0.03% 0.02% 0.01% 0.02% 0.02%
CM disc -1339 -1343 -1347 -1348 -1351 -1355 -1363 -1364 -1367 -1371
count 2 2 2 2 6 4 2 4 2 4
proportion 0.01% 0.01% 0.01% 0.01% 0.02% 0.02% 0.01% 0.02% 0.01% 0.02%
CM disc -1379 -1383 -1384 -1387 -1391 -1396 -1399 -1403 -1407 -1411
count 3 4 2 1 4 2 3 2 8 1
proportion 0.01% 0.02% 0.01% 0.00% 0.02% 0.01% 0.01% 0.01% 0.03% 0.00%
CM disc -1412 -1415 -1416 -1419 -1423 -1427 -1432 -1439 -1443 -1447
count 3 2 4 4 2 3 2 3 2 1
proportion 0.01% 0.01% 0.02% 0.02% 0.01% 0.01% 0.01% 0.01% 0.01% 0.00%
CM disc -1448 -1451 -1455 -1459 -1460 -1463 -1464 -1471 -1479 -1480
count 4 1 4 1 4 6 4 1 4 4
proportion 0.02% 0.00% 0.02% 0.00% 0.02% 0.02% 0.02% 0.00% 0.02% 0.02%
CM disc -1483 -1487 -1491 -1492 -1495 -1496 -1499 -1507 -1508 -1511
count 1 1 4 2 4 4 1 1 4 2
proportion 0.00% 0.00% 0.02% 0.01% 0.02% 0.02% 0.00% 0.00% 0.02% 0.01%
CM disc -1515 -1523 -1524 -1527 -1528 -1531 -1535 -1543 -1544 -1547
count 4 1 4 2 2 1 2 1 4 4
proportion 0.02% 0.00% 0.02% 0.01% 0.01% 0.00% 0.01% 0.00% 0.02% 0.02%
CM disc -1551 -1555 -1556 -1559 -1560 -1563 -1567 -1571 -1572 -1576
count 6 1 2 3 4 2 3 1 4 2
proportion 0.02% 0.00% 0.01% 0.01% 0.02% 0.01% 0.01% 0.00% 0.02% 0.01%
CM disc -1579 -1583 -1588 -1591 -1592 -1595 -1599 -1603 -1604 -1607
count 2 3 2 2 4 4 8 2 4 3
proportion 0.01% 0.01% 0.01% 0.01% 0.02% 0.02% 0.03% 0.01% 0.02% 0.01%
CM disc -1608 -1615 -1619 -1623 -1624 -1627 -1631 -1635 -1636 -1639
count 4 8 3 4 4 1 4 2 3 2
proportion 0.02% 0.03% 0.01% 0.02% 0.02% 0.00% 0.02% 0.01% 0.01% 0.01%
CM disc -1640 -1643 -1651 -1652 -1655 -1659 -1663 -1667 -1668 -1671
count 4 2 2 4 4 2 1 1 4 2
proportion 0.02% 0.01% 0.01% 0.02% 0.02% 0.01% 0.00% 0.00% 0.02% 0.01%
CM disc -1672 -1679 -1684 -1687 -1688 -1691 -1695 -1699 -1703 -1704
count 2 4 2 4 2 4 4 1 4 8
proportion 0.01% 0.02% 0.01% 0.02% 0.01% 0.02% 0.02% 0.00% 0.02% 0.03%
CM disc -1707 -1711 -1716 -1720 -1723 -1727 -1731 -1732 -1735 -1736
count 2 4 4 4 1 7 2 4 2 8
proportion 0.01% 0.02% 0.02% 0.02% 0.00% 0.03% 0.01% 0.02% 0.01% 0.03%
CM disc -1739 -1743 -1747 -1748 -1751 -1752 -1759 -1763 -1767 -1768
count 4 8 1 4 8 2 3 4 6 2
proportion 0.02% 0.03% 0.00% 0.02% 0.03% 0.01% 0.01% 0.02% 0.02% 0.01%
CM disc -1771 -1779 -1780 -1783 -1784 -1787 -1795 -1796 -1799 -1803
count 2 2 2 1 4 1 2 4 4 2
proportion 0.01% 0.01% 0.01% 0.00% 0.02% 0.00% 0.01% 0.02% 0.02% 0.01%
CM disc -1807 -1811 -1812 -1816 -1819 -1823 -1828 -1831 -1832 -1835
count 4 1 4 2 2 5 2 1 2 2
proportion 0.02% 0.00% 0.02% 0.01% 0.01% 0.02% 0.01% 0.00% 0.01% 0.01%
CM disc -1839 -1843 -1844 -1847 -1851 -1855 -1860 -1864 -1867 -1871
count 6 2 6 1 2 4 4 2 1 5
proportion 0.02% 0.01% 0.02% 0.00% 0.01% 0.02% 0.02% 0.01% 0.00% 0.02%
CM disc -1876 -1879 -1880 -1883 -1887 -1891 -1892 -1895 -1896 -1903
count 4 3 4 2 4 2 4 8 4 2
proportion 0.02% 0.01% 0.02% 0.01% 0.02% 0.01% 0.02% 0.03% 0.02% 0.01%
CM disc -1907 -1912 -1915 -1919 -1923 -1924 -1927 -1928 -1931 -1939
count 1 2 2 4 2 4 4 4 3 2
proportion 0.00% 0.01% 0.01% 0.02% 0.01% 0.02% 0.02% 0.02% 0.01% 0.01%
CM disc -1940 -1943 -1947 -1951 -1955 -1956 -1959 -1963 -1967 -1972
count 4 4 2 3 4 4 6 2 7 4
proportion 0.02% 0.02% 0.01% 0.01% 0.02% 0.02% 0.02% 0.01% 0.03% 0.02%
CM disc -1976 -1979 -1983 -1987 -1988 -1991 -1992 -1999 -2003 -2004
count 4 1 3 1 8 6 2 3 2 4
proportion 0.02% 0.00% 0.01% 0.00% 0.03% 0.02% 0.01% 0.01% 0.01% 0.02%
CM disc -2008 -2011 -2015 -2019 -2020 -2024 -2027 -2031 -2035 -2036
count 2 1 4 3 2 4 1 2 2 6
proportion 0.01% 0.00% 0.02% 0.01% 0.01% 0.02% 0.00% 0.01% 0.01% 0.02%
CM disc -2039 -2040 -2047 -2051 -2055 -2056 -2059 -2063 -2067 -2068
count 5 4 4 4 4 3 2 5 2 4
proportion 0.02% 0.02% 0.02% 0.02% 0.02% 0.01% 0.01% 0.02% 0.01% 0.02%
CM disc -2071 -2072 -2083 -2084 -2087 -2091 -2095 -2099 -2103 -2104
count 6 4 1 4 3 4 3 1 2 4
proportion 0.02% 0.02% 0.00% 0.02% 0.01% 0.02% 0.01% 0.00% 0.01% 0.02%
CM disc -2111 -2119 -2120 -2123 -2127 -2131 -2132 -2135 -2136 -2139
count 2 2 4 2 4 1 4 4 4 2
proportion 0.01% 0.01% 0.02% 0.01% 0.02% 0.00% 0.02% 0.02% 0.02% 0.01%
CM disc -2143 -2147 -2148 -2152 -2155 -2159 -2163 -2164 -2167 -2168
count 1 2 4 2 4 10 2 2 4 6
proportion 0.00% 0.01% 0.02% 0.01% 0.02% 0.04% 0.01% 0.01% 0.02% 0.02%
CM disc -2171 -2179 -2180 -2183 -2184 -2191 -2195 -2199 -2203 -2207
count 2 1 6 6 8 6 3 7 1 3
proportion 0.01% 0.00% 0.02% 0.02% 0.03% 0.02% 0.01% 0.03% 0.00% 0.01%
CM disc -2211 -2212 -2215 -2216 -2219 -2227 -2228 -2231 -2235 -2239
count 4 2 2 2 6 2 4 2 4 3
proportion 0.02% 0.01% 0.01% 0.01% 0.02% 0.01% 0.02% 0.01% 0.02% 0.01%
CM disc -2243 -2244 -2247 -2248 -2251 -2255 -2260 -2263 -2264 -2267
count 3 4 4 2 1 8 4 2 6 1
proportion 0.01% 0.02% 0.02% 0.01% 0.00% 0.03% 0.02% 0.01% 0.02% 0.00%
CM disc -2271 -2276 -2279 -2280 -2283 -2287 -2291 -2292 -2296 -2307
count 4 4 6 4 2 1 4 4 4 2
proportion 0.02% 0.02% 0.02% 0.02% 0.01% 0.00% 0.02% 0.02% 0.02% 0.01%
CM disc -2308 -2311 -2315 -2319 -2323 -2324 -2327 -2328 -2335 -2339
count 2 1 4 6 2 4 8 4 2 1
proportion 0.01% 0.00% 0.02% 0.02% 0.01% 0.02% 0.03% 0.02% 0.01% 0.00%
CM disc -2343 -2344 -2347 -2351 -2355 -2356 -2359 -2360 -2363 -2371
count 6 4 1 5 4 4 4 4 2 1
proportion 0.02% 0.02% 0.00% 0.02% 0.02% 0.02% 0.02% 0.02% 0.01% 0.00%
CM disc -2372 -2379 -2383 -2387 -2388 -2391 -2392 -2395 -2399 -2404
count 6 6 1 4 4 2 2 2 1 4
proportion 0.02% 0.02% 0.00% 0.02% 0.02% 0.01% 0.01% 0.01% 0.00% 0.02%
CM disc -2407 -2408 -2411 -2415 -2419 -2423 -2424 -2427 -2431 -2435
count 4 8 1 8 2 3 4 2 4 2
proportion 0.02% 0.03% 0.00% 0.03% 0.01% 0.01% 0.02% 0.01% 0.02% 0.01%
CM disc -2436 -2440 -2443 -2447 -2451 -2452 -2455 -2456 -2459 -2463
count 4 4 2 1 2 2 4 2 1 2
proportion 0.02% 0.02% 0.01% 0.00% 0.01% 0.01% 0.02% 0.01% 0.00% 0.01%
CM disc -2467 -2468 -2471 -2472 -2479 -2483 -2487 -2488 -2491 -2495
count 1 4 2 4 6 4 4 4 4 6
proportion 0.00% 0.02% 0.01% 0.02% 0.02% 0.02% 0.02% 0.02% 0.02% 0.02%
CM disc -2503 -2504 -2507 -2515 -2516 -2519 -2531 -2532 -2536 -2539
count 3 7 2 2 8 5 1 4 2 1
proportion 0.01% 0.03% 0.01% 0.01% 0.03% 0.02% 0.00% 0.02% 0.01% 0.00%
CM disc -2543 -2551 -2552 -2555 -2559 -2563 -2564 -2567 -2568 -2571
count 3 1 4 4 6 2 4 4 4 2
proportion 0.01% 0.00% 0.02% 0.02% 0.02% 0.01% 0.02% 0.02% 0.02% 0.01%
CM disc -2579 -2580 -2584 -2587 -2591 -2595 -2596 -2599 -2603 -2607
count 3 4 4 2 3 4 4 6 4 4
proportion 0.01% 0.02% 0.02% 0.01% 0.01% 0.02% 0.02% 0.02% 0.02% 0.02%
CM disc -2611 -2612 -2615 -2616 -2623 -2627 -2631 -2632 -2635 -2639
count 2 2 2 4 2 4 8 2 4 8
proportion 0.01% 0.01% 0.01% 0.02% 0.01% 0.02% 0.03% 0.01% 0.02% 0.03%
CM disc -2643 -2644 -2647 -2648 -2651 -2659 -2660 -2663 -2667 -2671
count 2 4 3 2 2 1 8 1 2 1
proportion 0.01% 0.02% 0.01% 0.01% 0.01% 0.00% 0.03% 0.00% 0.01% 0.00%
CM disc -2676 -2679 -2680 -2683 -2687 -2692 -2696 -2699 -2703 -2707
count 4 4 4 1 3 4 6 3 4 1
proportion 0.02% 0.02% 0.02% 0.00% 0.01% 0.02% 0.02% 0.01% 0.02% 0.00%
CM disc -2708 -2711 -2712 -2715 -2719 -2723 -2724 -2728 -2731 -2735
count 6 1 4 2 1 4 4 4 1 2
proportion 0.02% 0.00% 0.02% 0.01% 0.00% 0.02% 0.02% 0.02% 0.00% 0.01%
CM disc -2739 -2740 -2743 -2747 -2751 -2755 -2756 -2759 -2760 -2767
count 4 4 4 4 8 2 8 6 4 3
proportion 0.02% 0.02% 0.02% 0.02% 0.03% 0.01% 0.03% 0.02% 0.02% 0.01%
CM disc -2771 -2776 -2779 -2787 -2788 -2791 -2792 -2795 -2803 -2804
count 2 2 2 2 2 3 2 4 2 2
proportion 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.02% 0.01% 0.01%
CM disc -2807 -2811 -2815 -2819 -2820 -2823 -2824 -2827 -2831 -2836
count 4 3 2 3 8 2 6 2 4 2
proportion 0.02% 0.01% 0.01% 0.01% 0.03% 0.01% 0.02% 0.01% 0.02% 0.01%
CM disc -2839 -2840 -2843 -2847 -2851 -2852 -2855 -2856 -2859 -2863
count 2 6 3 6 1 8 10 8 4 2
proportion 0.01% 0.02% 0.01% 0.02% 0.00% 0.03% 0.04% 0.03% 0.02% 0.01%
CM disc -2867 -2868 -2872 -2879 -2884 -2887 -2895 -2899 -2903 -2911
count 4 4 4 3 4 2 8 2 1 6
proportion 0.02% 0.02% 0.02% 0.01% 0.02% 0.01% 0.03% 0.01% 0.00% 0.02%
CM disc -2915 -2919 -2920 -2923 -2927 -2931 -2932 -2935 -2936 -2939
count 8 8 4 2 1 2 2 2 6 1
proportion 0.03% 0.03% 0.02% 0.01% 0.00% 0.01% 0.01% 0.01% 0.02% 0.00%
CM disc -2947 -2948 -2951 -2955 -2959 -2963 -2964 -2967 -2968 -2971
count 2 4 6 4 6 1 8 4 2 1
proportion 0.01% 0.02% 0.02% 0.02% 0.02% 0.00% 0.03% 0.02% 0.01% 0.00%
CM disc -2980 -2983 -2984 -2987 -2991 -2995 -2996 -2999 -3007 -3011
count 4 4 2 4 8 2 6 1 4 3
proportion 0.02% 0.02% 0.01% 0.02% 0.03% 0.01% 0.02% 0.00% 0.02% 0.01%
CM disc -3012 -3016 -3019 -3023 -3027 -3028 -3031 -3032 -3035 -3039
count 4 4 1 1 4 2 2 2 4 6
proportion 0.02% 0.02% 0.00% 0.00% 0.02% 0.01% 0.01% 0.01% 0.02% 0.02%
CM disc -3043 -3044 -3047 -3048 -3055 -3059 -3063 -3064 -3067 -3071
count 4 6 2 4 8 8 3 6 1 4
proportion 0.02% 0.02% 0.01% 0.02% 0.03% 0.03% 0.01% 0.02% 0.00% 0.02%
CM disc -3076 -3079 -3080 -3083 -3091 -3092 -3095 -3099 -3103 -3107
count 4 1 8 1 2 2 8 4 4 4
proportion 0.02% 0.00% 0.03% 0.00% 0.01% 0.01% 0.03% 0.02% 0.02% 0.02%
CM disc -3108 -3111 -3112 -3115 -3119 -3124 -3127 -3128 -3131 -3135
count 4 4 2 4 3 4 6 8 4 8
proportion 0.02% 0.02% 0.01% 0.02% 0.01% 0.02% 0.02% 0.03% 0.02% 0.03%
CM disc -3139 -3140 -3143 -3144 -3147 -3151 -3155 -3156 -3160 -3163
count 2 4 6 4 2 2 4 6 4 2
proportion 0.01% 0.02% 0.02% 0.02% 0.01% 0.01% 0.02% 0.02% 0.02% 0.01%
CM disc -3167 -3171 -3172 -3176 -3183 -3187 -3188 -3191 -3192 -3199
count 1 4 2 6 2 1 6 3 4 4
proportion 0.00% 0.02% 0.01% 0.02% 0.01% 0.00% 0.02% 0.01% 0.02% 0.02%
CM disc -3203 -3207 -3208 -3215 -3219 -3220 -3223 -3224 -3227 -3235
count 1 4 4 4 4 4 6 4 2 2
proportion 0.00% 0.02% 0.02% 0.02% 0.02% 0.02% 0.02% 0.02% 0.01% 0.01%
CM disc -3236 -3239 -3243 -3247 -3251 -3252 -3255 -3256 -3259 -3263
count 4 6 2 4 1 4 8 4 2 8
proportion 0.02% 0.02% 0.01% 0.02% 0.00% 0.02% 0.03% 0.02% 0.01% 0.03%
CM disc -3268 -3271 -3272 -3279 -3284 -3287 -3288 -3291 -3295 -3299
count 4 3 4 4 6 2 4 2 4 7
proportion 0.02% 0.01% 0.02% 0.02% 0.02% 0.01% 0.02% 0.01% 0.02% 0.03%
CM disc -3304 -3307 -3311 -3316 -3319 -3320 -3323 -3327 -3331 -3335
count 4 2 14 2 1 4 1 2 3 8
proportion 0.02% 0.01% 0.05% 0.01% 0.00% 0.02% 0.00% 0.01% 0.01% 0.03%
CM disc -3336 -3343 -3347 -3351 -3352 -3355 -3359 -3363 -3367 -3368
count 4 1 1 10 2 2 3 4 4 2
proportion 0.02% 0.00% 0.00% 0.04% 0.01% 0.01% 0.01% 0.02% 0.02% 0.01%
CM disc -3371 -3379 -3383 -3387 -3391 -3395 -3396 -3399 -3403 -3407
count 3 3 2 4 1 4 4 8 2 3
proportion 0.01% 0.01% 0.01% 0.02% 0.00% 0.02% 0.02% 0.03% 0.01% 0.01%
CM disc -3412 -3415 -3416 -3419 -3423 -3427 -3428 -3431 -3432 -3435
count 2 2 4 4 8 2 4 6 4 4
proportion 0.01% 0.01% 0.02% 0.02% 0.03% 0.01% 0.02% 0.02% 0.02% 0.02%
CM disc -3439 -3443 -3444 -3448 -3451 -3455 -3459 -3460 -3463 -3464
count 6 3 8 2 4 4 4 4 1 4
proportion 0.02% 0.01% 0.03% 0.01% 0.02% 0.02% 0.02% 0.02% 0.00% 0.02%
CM disc -3467 -3471 -3476 -3480 -3487 -3491 -3495 -3496 -3499 -3503
count 1 12 6 4 4 1 8 4 1 4
proportion 0.00% 0.05% 0.02% 0.02% 0.02% 0.00% 0.03% 0.02% 0.00% 0.02%
CM disc -3507 -3508 -3511 -3512 -3515 -3523 -3524 -3527 -3531 -3535
count 2 2 1 4 4 2 6 3 4 4
proportion 0.01% 0.01% 0.00% 0.02% 0.02% 0.01% 0.02% 0.01% 0.02% 0.02%
CM disc -3539 -3540 -3543 -3544 -3547 -3551 -3556 -3559 -3560 -3563
count 1 8 4 4 2 2 4 5 8 2
proportion 0.00% 0.03% 0.02% 0.02% 0.01% 0.01% 0.02% 0.02% 0.03% 0.01%
CM disc -3567 -3571 -3572 -3576 -3579 -3583 -3587 -3588 -3592 -3595
count 4 3 4 4 2 1 2 4 4 2
proportion 0.02% 0.01% 0.02% 0.02% 0.01% 0.00% 0.01% 0.02% 0.02% 0.01%
CM disc -3599 -3603 -3604 -3607 -3608 -3611 -3615 -3619 -3620 -3623
count 6 3 8 1 4 2 12 4 8 5
proportion 0.02% 0.01% 0.03% 0.00% 0.02% 0.01% 0.05% 0.02% 0.03% 0.02%
CM disc -3624 -3631 -3635 -3639 -3640 -3643 -3647 -3651 -3652 -3655
count 4 1 2 10 4 2 6 4 4 4
proportion 0.02% 0.00% 0.01% 0.04% 0.02% 0.01% 0.02% 0.02% 0.02% 0.02%
CM disc -3656 -3659 -3667 -3668 -3671 -3679 -3683 -3684 -3687 -3688
count 7 1 2 4 4 4 2 4 6 4
proportion 0.03% 0.00% 0.01% 0.02% 0.02% 0.02% 0.01% 0.02% 0.02% 0.02%
CM disc -3691 -3695 -3704 -3707 -3711 -3715 -3716 -3719 -3720 -3723
count 1 10 6 2 7 2 7 1 8 4
proportion 0.00% 0.04% 0.02% 0.01% 0.03% 0.01% 0.03% 0.00% 0.03% 0.02%
CM disc -3727 -3731 -3732 -3736 -3739 -3743 -3747 -3748 -3752 -3755
count 1 4 4 2 1 6 4 4 4 4
proportion 0.00% 0.02% 0.02% 0.01% 0.00% 0.02% 0.02% 0.02% 0.02% 0.02%
CM disc -3759 -3763 -3764 -3767 -3768 -3779 -3783 -3784 -3787 -3791
count 4 2 2 3 4 1 12 4 2 4
proportion 0.02% 0.01% 0.01% 0.01% 0.02% 0.00% 0.05% 0.02% 0.01% 0.02%
CM disc -3795 -3796 -3799 -3803 -3811 -3812 -3815 -3819 -3823 -3827
count 4 4 2 3 2 4 8 4 1 2
proportion 0.02% 0.02% 0.01% 0.01% 0.01% 0.02% 0.03% 0.02% 0.00% 0.01%
CM disc -3828 -3831 -3832 -3835 -3839 -3847 -3848 -3851 -3855 -3859
count 4 6 3 4 2 1 4 2 4 2
proportion 0.02% 0.02% 0.01% 0.02% 0.01% 0.00% 0.02% 0.01% 0.02% 0.01%
CM disc -3860 -3863 -3864 -3867 -3876 -3880 -3883 -3891 -3892 -3895
count 4 1 8 2 8 4 2 6 4 6
proportion 0.02% 0.00% 0.03% 0.01% 0.03% 0.02% 0.01% 0.02% 0.02% 0.02%
CM disc -3896 -3899 -3903 -3907 -3908 -3911 -3912 -3919 -3923 -3927
count 13 6 2 1 4 1 8 3 1 8
proportion 0.05% 0.02% 0.01% 0.00% 0.02% 0.00% 0.03% 0.01% 0.00% 0.03%
CM disc -3928 -3931 -3935 -3939 -3940 -3943 -3944 -3947 -3955 -3956
count 2 1 6 4 8 3 4 1 4 8
proportion 0.01% 0.00% 0.02% 0.02% 0.03% 0.01% 0.02% 0.00% 0.02% 0.03%
CM disc -3959 -3963 -3967 -3972 -3976 -3979 -3983 -3988 -3991 -3992
count 4 2 3 4 4 4 4 2 6 2
proportion 0.02% 0.01% 0.01% 0.02% 0.02% 0.02% 0.02% 0.01% 0.02% 0.01%
CM disc -3995 -3999
count 4 12
proportion 0.02% 0.05%
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Distribution of real multiplication

RM disc 5 8 12 13 17 21 24 28 29 33
count 168 95 66 78 57 48 40 33 39 30
proportion 9.48% 5.36% 3.72% 4.40% 3.22% 2.71% 2.26% 1.86% 2.20% 1.69%
RM disc 37 40 41 44 53 56 57 60 61 65
count 29 34 24 27 16 20 21 20 22 26
proportion 1.64% 1.92% 1.35% 1.52% 0.90% 1.13% 1.19% 1.13% 1.24% 1.47%
RM disc 69 73 76 77 85 88 89 92 93 97
count 14 10 18 7 17 16 14 4 10 10
proportion 0.79% 0.56% 1.02% 0.40% 0.96% 0.90% 0.79% 0.23% 0.56% 0.56%
RM disc 101 104 105 109 113 120 124 129 133 136
count 10 10 14 13 7 8 12 8 7 10
proportion 0.56% 0.56% 0.79% 0.73% 0.40% 0.45% 0.68% 0.45% 0.40% 0.56%
RM disc 137 140 141 145 149 152 156 157 161 165
count 6 5 6 15 4 3 9 5 8 6
proportion 0.34% 0.28% 0.34% 0.85% 0.23% 0.17% 0.51% 0.28% 0.45% 0.34%
RM disc 168 172 173 177 181 184 185 193 197 201
count 7 4 4 4 7 6 8 4 5 5
proportion 0.40% 0.23% 0.23% 0.23% 0.40% 0.34% 0.45% 0.23% 0.28% 0.28%
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RM disc 5 8 12 13 17 21 24 28 29 33
count 168 95 66 78 57 48 40 33 39 30
proportion 9.48% 5.36% 3.72% 4.40% 3.22% 2.71% 2.26% 1.86% 2.20% 1.69%
RM disc 37 40 41 44 53 56 57 60 61 65
count 29 34 24 27 16 20 21 20 22 26
proportion 1.64% 1.92% 1.35% 1.52% 0.90% 1.13% 1.19% 1.13% 1.24% 1.47%
RM disc 69 73 76 77 85 88 89 92 93 97
count 14 10 18 7 17 16 14 4 10 10
proportion 0.79% 0.56% 1.02% 0.40% 0.96% 0.90% 0.79% 0.23% 0.56% 0.56%
RM disc 101 104 105 109 113 120 124 129 133 136
count 10 10 14 13 7 8 12 8 7 10
proportion 0.56% 0.56% 0.79% 0.73% 0.40% 0.45% 0.68% 0.45% 0.40% 0.56%
RM disc 137 140 141 145 149 152 156 157 161 165
count 6 5 6 15 4 3 9 5 8 6
proportion 0.34% 0.28% 0.34% 0.85% 0.23% 0.17% 0.51% 0.28% 0.45% 0.34%
RM disc 168 172 173 177 181 184 185 193 197 201
count 7 4 4 4 7 6 8 4 5 5
proportion 0.40% 0.23% 0.23% 0.23% 0.40% 0.34% 0.45% 0.23% 0.28% 0.28%
RM disc 204 205 209 213 217 220 221 229 232 233
count 9 3 7 2 4 4 7 12 9 5
proportion 0.51% 0.17% 0.40% 0.11% 0.23% 0.23% 0.40% 0.68% 0.51% 0.28%
RM disc 237 241 249 253 257 264 265 268 269 273
count 3 5 4 4 8 4 10 4 1 8
proportion 0.17% 0.28% 0.23% 0.23% 0.45% 0.23% 0.56% 0.23% 0.06% 0.45%
RM disc 277 280 281 284 285 296 301 305 309 312
count 4 3 3 4 2 2 4 3 3 4
proportion 0.23% 0.17% 0.17% 0.23% 0.11% 0.11% 0.23% 0.17% 0.17% 0.23%
RM disc 313 316 317 321 328 329 332 337 341 344
count 4 8 2 4 4 1 1 5 4 4
proportion 0.23% 0.45% 0.11% 0.23% 0.23% 0.06% 0.06% 0.28% 0.23% 0.23%
RM disc 345 348 349 353 365 373 377 381 385 389
count 7 2 2 3 1 2 3 1 5 1
proportion 0.40% 0.11% 0.11% 0.17% 0.06% 0.11% 0.17% 0.06% 0.28% 0.06%
RM disc 393 397 401 408 409 417 421 424 428 433
count 2 2 8 4 3 4 2 5 2 3
proportion 0.11% 0.11% 0.45% 0.23% 0.17% 0.23% 0.11% 0.28% 0.11% 0.17%
RM disc 440 444 445 449 453 456 457 460 461 465
count 3 1 3 3 1 4 4 3 1 2
proportion 0.17% 0.06% 0.17% 0.17% 0.06% 0.23% 0.23% 0.17% 0.06% 0.11%
RM disc 469 472 473 476 481 485 489 492 493 497
count 9 1 8 2 6 1 3 2 1 2
proportion 0.51% 0.06% 0.45% 0.11% 0.34% 0.06% 0.17% 0.11% 0.06% 0.11%
RM disc 505 508 509 520 521 533 536 541 545 553
count 4 2 1 4 2 1 2 3 5 4
proportion 0.23% 0.11% 0.06% 0.23% 0.11% 0.06% 0.11% 0.17% 0.28% 0.23%
RM disc 557 561 565 568 569 577 589 593 597 601
count 1 2 1 4 3 4 4 1 1 2
proportion 0.06% 0.11% 0.06% 0.23% 0.17% 0.23% 0.23% 0.06% 0.06% 0.11%
RM disc 609 613 616 617 629 633 636 641 645 661
count 1 1 2 1 1 1 1 1 1 1
proportion 0.06% 0.06% 0.11% 0.06% 0.06% 0.06% 0.06% 0.06% 0.06% 0.06%
RM disc 669 673 685 689 696 697 705 709 721 732
count 1 2 1 4 2 6 3 2 2 1
proportion 0.06% 0.11% 0.06% 0.23% 0.11% 0.34% 0.17% 0.11% 0.11% 0.06%
RM disc 733 741 744 745 757 760 761 769 777 785
count 2 2 3 5 1 3 4 3 3 4
proportion 0.11% 0.11% 0.17% 0.28% 0.06% 0.17% 0.23% 0.17% 0.17% 0.23%
RM disc 793 808 809 813 817 829 849 853 857 865
count 8 1 1 1 4 1 1 1 1 3
proportion 0.45% 0.06% 0.06% 0.06% 0.23% 0.06% 0.06% 0.06% 0.06% 0.17%
RM disc 877 881 889 901 904 905 921 924 929 937
count 1 1 2 1 1 4 1 2 1 2
proportion 0.06% 0.06% 0.11% 0.06% 0.06% 0.23% 0.06% 0.11% 0.06% 0.11%
RM disc 940 949 953 969 973 977 985 993 997 1009
count 4 2 1 1 2 1 6 2 1 2
proportion 0.23% 0.11% 0.06% 0.06% 0.11% 0.06% 0.34% 0.11% 0.06% 0.11%
RM disc 1020 1021 1033 1036 1057 1069 1093 1096 1101 1105
count 2 1 1 2 2 1 2 1 2 2
proportion 0.11% 0.06% 0.06% 0.11% 0.11% 0.06% 0.11% 0.06% 0.11% 0.11%
RM disc 1113 1117 1129 1137 1141 1144 1153 1165 1185 1189
count 1 1 3 1 2 2 1 1 1 1
proportion 0.06% 0.06% 0.17% 0.06% 0.11% 0.11% 0.06% 0.06% 0.06% 0.06%
RM disc 1192 1201 1209 1212 1213 1221 1237 1240 1249 1261
count 1 1 2 1 1 1 1 2 1 2
proportion 0.06% 0.06% 0.11% 0.06% 0.06% 0.06% 0.06% 0.11% 0.06% 0.11%
RM disc 1273 1276 1281 1285 1297 1308 1317 1320 1321 1333
count 2 2 2 1 2 1 1 2 1 2
proportion 0.11% 0.11% 0.11% 0.06% 0.11% 0.06% 0.06% 0.11% 0.06% 0.11%
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