The database currently contains $1{,}111$ Galois orbits of Belyi maps in $1{,}007$ passports, with degree at most $9$.
Distribution of degrees
| degree |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
\(\mathrm{avg}\ 8.00\) |
| count |
1 |
1 |
3 |
8 |
23 |
82 |
182 |
334 |
477 |
1111 |
| proportion |
0.09% |
0.09% |
0.27% |
0.72% |
2.07% |
7.38% |
16.38% |
30.06% |
42.93% |
100.00% |
|
| size |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| count |
329 |
195 |
106 |
121 |
44 |
88 |
25 |
50 |
29 |
27 |
| proportion |
29.61% |
17.55% |
9.54% |
10.89% |
3.96% |
7.92% |
2.25% |
4.50% |
2.61% |
2.43% |
|
| size |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
20 |
21 |
| count |
15 |
31 |
5 |
14 |
13 |
5 |
2 |
5 |
1 |
1 |
| proportion |
1.35% |
2.79% |
0.45% |
1.26% |
1.17% |
0.45% |
0.18% |
0.45% |
0.09% |
0.09% |
|
| size |
22 |
24 |
25 |
28 |
\(\mathrm{avg}\ 4.26\) |
| count |
2 |
1 |
1 |
1 |
1111 |
| proportion |
0.18% |
0.09% |
0.09% |
0.09% |
100.00% |
|
Distribution of genus
| genus |
0 |
1 |
2 |
\(\mathrm{avg}\ 0.27\) |
| count |
833 |
251 |
27 |
1111 |
| proportion |
74.98% |
22.59% |
2.43% |
100.00% |
|
| pass size |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| count |
278 |
155 |
92 |
114 |
42 |
78 |
28 |
48 |
34 |
24 |
| proportion |
27.61% |
15.39% |
9.14% |
11.32% |
4.17% |
7.75% |
2.78% |
4.77% |
3.38% |
2.38% |
|
| pass size |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
20 |
21 |
| count |
22 |
28 |
8 |
14 |
16 |
9 |
2 |
7 |
1 |
1 |
| proportion |
2.18% |
2.78% |
0.79% |
1.39% |
1.59% |
0.89% |
0.20% |
0.70% |
0.10% |
0.10% |
|
| pass size |
22 |
24 |
25 |
28 |
\(\mathrm{avg}\ 4.70\) |
| count |
3 |
1 |
1 |
1 |
1007 |
| proportion |
0.30% |
0.10% |
0.10% |
0.10% |
100.00% |
|
| num orbits |
1 |
2 |
3 |
4 |
\(\mathrm{avg}\ 1.10\) |
| count |
925 |
66 |
11 |
5 |
1007 |
| proportion |
91.86% |
6.55% |
1.09% |
0.50% |
100.00% |
|
