Summary of Totally Ramified 19-adic Fields of Degree 38
| g=1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 14 | 15 | 19 | 22 | 24 | 30 | 36 | Total |
j=1 | | | | | | | | | | | | | | | | | | 18 | 18 |
2 | | | | | | | | 18 | 18 | | | | | | | | | | 36 |
3 | | | | | | | | | | | | | | | | 6 | | 12 | 18 |
4 | | | | | | | 18 | | 18 | | | | | | | | | | 36 |
5 | | | | | | | | | | | | | | | | | | 18 | 18 |
6 | | | | | 6 | 6 | | 12 | 12 | | | | | | | | | | 36 |
7 | | | | | | | | | | | | | | | | | | 18 | 18 |
8 | | | | | | | 18 | | 18 | | | | | | | | | | 36 |
9 | | | | | | | | | | | | | 2 | | | 4 | | 12 | 18 |
10 | | | | | | | | 18 | 18 | | | | | | | | | | 36 |
11 | | | | | | | | | | | | | | | | | | 18 | 18 |
12 | | | | 6 | | 6 | 12 | | 12 | | | | | | | | | | 36 |
13 | | | | | | | | | | | | | | | | | | 18 | 18 |
14 | | | | | | | | 18 | 18 | | | | | | | | | | 36 |
15 | | | | | | | | | | | | | | | | 6 | | 12 | 18 |
16 | | | | | | | 18 | | 18 | | | | | | | | | | 36 |
17 | | | | | | | | | | | | | | | | | | 18 | 18 |
18 | | 2 | 2 | | 4 | 4 | | 12 | 12 | 18 | | | | | | | | | 54 |
20 | | | | | | | 18 | | 18 | | | | | | 162 | | 162 | | 360 |
21 | | | | | | | | | | | | | | | | 114 | | 228 | 342 |
22 | | | | | | | | 18 | 18 | | | | | | 162 | | 162 | | 360 |
23 | | | | | | | | | | | | | | | | | | 342 | 342 |
24 | | | | 6 | | 6 | 12 | | 12 | | | 54 | | 54 | 108 | | 108 | | 360 |
25 | | | | | | | | | | | | | | | | | | 342 | 342 |
26 | | | | | | | | 18 | 18 | | | | | | 162 | | 162 | | 360 |
27 | | | | | | | | | | | | | 38 | | | 76 | | 228 | 342 |
28 | | | | | | | 18 | | 18 | | | | | | 162 | | 162 | | 360 |
29 | | | | | | | | | | | | | | | | | | 342 | 342 |
30 | | | | | 6 | 6 | | 12 | 12 | | | 54 | | 54 | 108 | | 108 | | 360 |
31 | | | | | | | | | | | | | | | | | | 342 | 342 |
32 | | | | | | | 18 | | 18 | | | | | | 162 | | 162 | | 360 |
33 | | | | | | | | | | | | | | | | 114 | | 228 | 342 |
34 | | | | | | | | 18 | 18 | | | | | | 162 | | 162 | | 360 |
35 | | | | | | | | | | | | | | | | | | 342 | 342 |
36 | 38 | | 2 | 4 | | 4 | 12 | | 12 | 342 | 18 | 36 | | 36 | 108 | | 108 | | 720 |
37 | | | | | | | | | | | | | | | | | | 342 | 342 |
38 | | | | | | | | 19 | 19 | | | | | | 171 | | 171 | | 380 |
Total | 38 | 2 | 4 | 16 | 16 | 32 | 144 | 163 | 307 | 360 | 18 | 144 | 40 | 144 | 1467 | 320 | 1467 | 2880 | 7562 |