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The database currently contains 281,219 (Galois orbits of) newforms and 62,142 nonzero newspaces, corresponding to 14,398,359 modular forms over the complex numbers. In addition to the statistics below, you can also create your own.

Note that the newforms in the database do not constitute a representative sample; for example, the extent of newforms with trivial character is larger than for nontrivial character.

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% 0.05%
2-10 4 10 58 154 333 675 1343 2577
0.03% 0.04% 0.26% 1.27% 6.86% 36.43% 91.42% 0.92%
11-100 29 634 570 864 3056 5125 4315 1162 15755
0.15% 0.36% 4.50% 3.04% 13.50% 42.41% 88.88% 62.71% 5.60%
101-1000 2101 32977 8544 12281 18104 6804 199 81010
10.88% 18.53% 67.51% 43.18% 80.00% 56.30% 4.10% 28.81%
1001-2000 4309 20033 2310 10293 1411 38356
22.32% 11.26% 18.25% 36.19% 6.24% 13.64%
2001-4000 12867 32793 1170 4992 51822
66.65% 18.43% 9.25% 17.55% 18.43%
4001-6000 30161 57 30218
16.95% 0.45% 10.75%
6001-8000 30552 30552
17.17% 10.86%
8001-10000 30777 30777
17.30% 10.94%
Total 19306 177927 12655 28440 22629 12085 4855 1853 1469 281219
6.87% 63.27% 4.50% 10.11% 8.05% 4.30% 1.73% 0.66% 0.52%

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% 0.05%
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% 0.92%
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% 5.60%
101-1000 6688 10772 2213 8557 1307 11131 10470 18969 8893 1918 92 81010
8.26% 13.30% 2.73% 10.56% 1.61% 13.74% 12.92% 23.42% 10.98% 2.37% 0.11% 28.81%
1001-2000 5605 7166 1575 4531 840 6065 5023 7087 464 38356
14.61% 18.68% 4.11% 11.81% 2.19% 15.81% 13.10% 18.48% 1.21% 13.64%
2001-4000 9650 9819 2496 5954 1239 7741 6192 7843 888 51822
18.62% 18.95% 4.82% 11.49% 2.39% 14.94% 11.95% 15.13% 1.71% 18.43%
4001-6000 8037 4353 1802 1981 831 3655 3174 5496 889 30218
26.60% 14.41% 5.96% 6.56% 2.75% 12.10% 10.50% 18.19% 2.94% 10.75%
6001-8000 8366 3881 1758 1612 787 3092 3326 6000 1730 30552
27.38% 12.70% 5.75% 5.28% 2.58% 10.12% 10.89% 19.64% 5.66% 10.86%
8001-10000 8287 3517 1668 1398 828 2875 3459 6626 2119 30777
26.93% 11.43% 5.42% 4.54% 2.69% 9.34% 11.24% 21.53% 6.89% 10.94%
Total 48688 41653 12277 25507 6312 37163 34127 56866 16558 1976 92 281219
17.31% 14.81% 4.37% 9.07% 2.24% 13.21% 12.14% 20.22% 5.89% 0.70% 0.03%

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 44952 21496 11544 9633 6102 20980 19770 30387 6374 171238
26.25% 12.55% 6.74% 5.63% 3.56% 12.25% 11.55% 17.75% 3.72% 60.89%
2 3736 10506 733 6843 210 7079 6368 11074 92 46641
8.01% 22.53% 1.57% 14.67% 0.45% 15.18% 13.65% 23.74% 0.20% 16.59%
3 3972 1513 919 732 444 1655 1247 965 11 11458
34.67% 13.20% 8.02% 6.39% 3.88% 14.44% 10.88% 8.42% 0.10% 4.07%
4 2162 2050 171 1081 79 1540 1453 1979 102 10617
20.36% 19.31% 1.61% 10.18% 0.74% 14.51% 13.69% 18.64% 0.96% 3.78%
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% 0.68%
6-10 4952 3634 493 1644 236 2448 2388 4493 259 20547
24.10% 17.69% 2.40% 8.00% 1.15% 11.91% 11.62% 21.87% 1.26% 7.31%
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% 3.18%
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% 2.96%
101-1000 595 12 3 18 148 729 45 1550
38.39% 0.77% 0.19% 1.16% 9.55% 47.03% 2.90% 0.55%
Total 65952 40720 14272 20593 7410 35658 33905 55305 7404 281219
23.45% 14.48% 5.08% 7.32% 2.63% 12.68% 12.06% 19.67% 2.63%

Distribution of analytic ranks

analytic rank 0 1 2 3 \(\mathrm{avg}\ 0.33\)
count 191520 87052 2566 1 281139
proportion 68.12% 30.96% 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 0 1 2 3 4 5 6 7 8 9
count 860189 23480 13845 3706 5950 2561 1901 982 1875 958
proportion 93.26% 2.55% 1.50% 0.40% 0.65% 0.28% 0.21% 0.11% 0.20% 0.10%
newforms 10 11 12 13 14 15 16 17 18 19
count 899 600 632 459 420 316 343 247 298 200
proportion 0.10% 0.07% 0.07% 0.05% 0.05% 0.03% 0.04% 0.03% 0.03% 0.02%
newforms 20 21 22 23 24 25 26 27 28 29
count 220 128 187 113 158 95 128 85 107 81
proportion 0.02% 0.01% 0.02% 0.01% 0.02% 0.01% 0.01% 0.01% 0.01% 0.01%
newforms 30 31 32 33 34 35 36 37 38 39
count 92 64 80 50 58 57 65 41 61 34
proportion 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.00% 0.01% 0.00%
newforms 40 41 42 43 44 45 46 47 48 49
count 42 28 31 27 29 22 30 18 35 18
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
newforms 50 51 52 53 54 55 56 57 58 59
count 23 11 17 17 16 7 18 7 17 13
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 0 1 2 3 4 5 6 7 8 9
count 860189 23480 13845 3706 5950 2561 1901 982 1875 958
proportion 93.26% 2.55% 1.50% 0.40% 0.65% 0.28% 0.21% 0.11% 0.20% 0.10%
newforms 10 11 12 13 14 15 16 17 18 19
count 899 600 632 459 420 316 343 247 298 200
proportion 0.10% 0.07% 0.07% 0.05% 0.05% 0.03% 0.04% 0.03% 0.03% 0.02%
newforms 20 21 22 23 24 25 26 27 28 29
count 220 128 187 113 158 95 128 85 107 81
proportion 0.02% 0.01% 0.02% 0.01% 0.02% 0.01% 0.01% 0.01% 0.01% 0.01%
newforms 30 31 32 33 34 35 36 37 38 39
count 92 64 80 50 58 57 65 41 61 34
proportion 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.01% 0.00% 0.01% 0.00%
newforms 40 41 42 43 44 45 46 47 48 49
count 42 28 31 27 29 22 30 18 35 18
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
newforms 50 51 52 53 54 55 56 57 58 59
count 23 11 17 17 16 7 18 7 17 13
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
newforms 60 61 62 63 64 65 66 67 68 69
count 8 5 8 8 13 4 7 4 11 3
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
newforms 70 71 72 73 74 75 76 77 78 79
count 5 1 4 3 7 3 6 3 1 2
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
newforms 80 81 82 83 84 85 86 88 90 92
count 6 3 1 3 3 2 1 3 1 2
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
newforms 94 96 99 100 101 105 107 118 128 None
count 1 1 1 1 1 1 1 1 1 922331
proportion 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 100.00%
newforms 1- 1-
count 62142 62142
proportion 6.74% 6.74%
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Distribution of inner twists

inner twists Unknown 1 2 4 6 8 10 12 16 20
count 73993 129197 47492 25803 24 4295 6 51 311 3
proportion 26.31% 45.94% 16.89% 9.18% 0.01% 1.53% 0.00% 0.02% 0.11% 0.00%
inner twists 24 32 40 44 56
count 14 20 7 1 2
proportion 0.00% 0.01% 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 174853 11117 27877 21426 11303 4492 1690 1367 255818
8.77% 98.27% 87.85% 98.02% 94.68% 93.53% 92.52% 91.20% 93.06% 90.97%
CM only 15841 3074 1538 563 1203 782 363 163 102 23629
82.05% 1.73% 12.15% 1.98% 5.32% 6.47% 7.48% 8.80% 6.94% 8.40%
RM only 461 461
2.39% 0.16%
both 1311 1311
6.79% 0.47%

Distribution of complex multiplication

CM disc -3 -4 -7 -8 -11 -15 -19 -20 -23 -24
count 4351 3006 1498 1530 1113 856 573 703 514 589
proportion 16.57% 11.45% 5.71% 5.83% 4.24% 3.26% 2.18% 2.68% 1.96% 2.24%
CM disc -31 -35 -39 -40 -43 -47 -51 -52 -55 -56
count 382 373 312 308 121 242 230 173 211 258
proportion 1.46% 1.42% 1.19% 1.17% 0.46% 0.92% 0.88% 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% 0.34%
CM disc -95 -103 -104 -107 -111 -115 -116 -119 -120 -123
count 114 70 127 69 113 58 105 102 99 52
proportion 0.43% 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 61
proportion 0.20% 0.24% 0.33% 0.24% 0.17% 0.34% 0.11% 0.16% 0.27% 0.23%
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 4351 3006 1498 1530 1113 856 573 703 514 589
proportion 16.57% 11.45% 5.71% 5.83% 4.24% 3.26% 2.18% 2.68% 1.96% 2.24%
CM disc -31 -35 -39 -40 -43 -47 -51 -52 -55 -56
count 382 373 312 308 121 242 230 173 211 258
proportion 1.46% 1.42% 1.19% 1.17% 0.46% 0.92% 0.88% 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% 0.34%
CM disc -95 -103 -104 -107 -111 -115 -116 -119 -120 -123
count 114 70 127 69 113 58 105 102 99 52
proportion 0.43% 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 61
proportion 0.20% 0.24% 0.33% 0.24% 0.17% 0.34% 0.11% 0.16% 0.27% 0.23%
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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