Summary of Totally Ramified 17-adic Fields of Degree 34
| g=1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 16 | 17 | 21 | 22 | 41 | 55 | Total |
j=1 | | | | | | | | | | | | | | | | | | 16 | 16 |
2 | | | | | | | | 16 | 16 | | | | | | | | | | 32 |
3 | | | | | | | | | | | | | | | | | | 16 | 16 |
4 | | | | | | 8 | 8 | | 16 | | | | | | | | | | 32 |
5 | | | | | | | | | | | | | | | | | | 16 | 16 |
6 | | | | | | | | 16 | 16 | | | | | | | | | | 32 |
7 | | | | | | | | | | | | | | | | | | 16 | 16 |
8 | | | | 4 | 4 | | 8 | | 16 | | | | | | | | | | 32 |
9 | | | | | | | | | | | | | | | | | | 16 | 16 |
10 | | | | | | | | 16 | 16 | | | | | | | | | | 32 |
11 | | | | | | | | | | | | | | | | | | 16 | 16 |
12 | | | | | | 8 | 8 | | 16 | | | | | | | | | | 32 |
13 | | | | | | | | | | | | | | | | | | 16 | 16 |
14 | | | | | | | | 16 | 16 | | | | | | | | | | 32 |
15 | | | | | | | | | | | | | | | | | | 16 | 16 |
16 | | 2 | 2 | | 4 | | 8 | | 16 | 16 | | | | | | | | | 48 |
18 | | | | | | | | 16 | 16 | | | | | | | 128 | 128 | | 288 |
19 | | | | | | | | | | | | | | | | | | 272 | 272 |
20 | | | | | | 8 | 8 | | 16 | | | | | 64 | 64 | | 128 | | 288 |
21 | | | | | | | | | | | | | | | | | | 272 | 272 |
22 | | | | | | | | 16 | 16 | | | | | | | 128 | 128 | | 288 |
23 | | | | | | | | | | | | | | | | | | 272 | 272 |
24 | | | | 4 | 4 | | 8 | | 16 | | | 32 | 32 | | 64 | | 128 | | 288 |
25 | | | | | | | | | | | | | | | | | | 272 | 272 |
26 | | | | | | | | 16 | 16 | | | | | | | 128 | 128 | | 288 |
27 | | | | | | | | | | | | | | | | | | 272 | 272 |
28 | | | | | | 8 | 8 | | 16 | | | | | 64 | 64 | | 128 | | 288 |
29 | | | | | | | | | | | | | | | | | | 272 | 272 |
30 | | | | | | | | 16 | 16 | | | | | | | 128 | 128 | | 288 |
31 | | | | | | | | | | | | | | | | | | 272 | 272 |
32 | 34 | | 2 | | 4 | | 8 | | 16 | 272 | 16 | | 32 | | 64 | | 128 | | 576 |
33 | | | | | | | | | | | | | | | | | | 272 | 272 |
34 | | | | | | | | 17 | 17 | | | | | | | 136 | 136 | | 306 |
Total | 34 | 2 | 4 | 8 | 16 | 32 | 64 | 145 | 273 | 288 | 16 | 32 | 64 | 128 | 256 | 648 | 1160 | 2304 | 5474 |