| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 29.1-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[29, 29, -9w^{5} + 3w^{4} + 64w^{3} + 26w^{2} - 40w - 10]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 29.2-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[29,29,w^{5} - 7w^{3} - 5w^{2} + 2w + 2]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 29.3-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[29,29,-w^{4} + w^{3} + 6w^{2} - 2]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 29.4-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[29,29,5w^{5} - w^{4} - 36w^{3} - 19w^{2} + 21w + 9]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 29.5-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[29,29,w^{5} - w^{4} - 7w^{3} + 2w^{2} + 6w - 1]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 29.6-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[29,29,2w^{5} - 15w^{3} - 10w^{2} + 11w + 5]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 41.1-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[41, 41, 5w^{5} - w^{4} - 36w^{3} - 18w^{2} + 21w + 5]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 41.2-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[41,41,5w^{5} - 2w^{4} - 36w^{3} - 11w^{2} + 25w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 41.3-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[41,41,6w^{5} - w^{4} - 44w^{3} - 23w^{2} + 30w + 8]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 41.4-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[41,41,-13w^{5} + 4w^{4} + 93w^{3} + 39w^{2} - 59w - 16]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 41.5-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[41,41,-4w^{5} + 30w^{3} + 19w^{2} - 19w - 8]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 41.6-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[41,41,w^{5} - 7w^{3} - 6w^{2} + 2w + 3]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 49.1-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[49, 7, -5w^{5} + w^{4} + 36w^{3} + 19w^{2} - 22w - 6]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 49.1-b |
6.6.300125.1 |
$6$ |
$300125$ |
$[49, 7, -5w^{5} + w^{4} + 36w^{3} + 19w^{2} - 22w - 6]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
✓ |
| 64.1-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[64, 2, -2]$ |
$64$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 64.1-b |
6.6.300125.1 |
$6$ |
$300125$ |
$[64, 2, -2]$ |
$64$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 64.1-c |
6.6.300125.1 |
$6$ |
$300125$ |
$[64, 2, -2]$ |
$64$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
✓ |
| 71.1-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[71, 71, -8w^{5} + w^{4} + 58w^{3} + 34w^{2} - 34w - 16]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.1-b |
6.6.300125.1 |
$6$ |
$300125$ |
$[71, 71, -8w^{5} + w^{4} + 58w^{3} + 34w^{2} - 34w - 16]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.1-c |
6.6.300125.1 |
$6$ |
$300125$ |
$[71, 71, -8w^{5} + w^{4} + 58w^{3} + 34w^{2} - 34w - 16]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.1-d |
6.6.300125.1 |
$6$ |
$300125$ |
$[71, 71, -8w^{5} + w^{4} + 58w^{3} + 34w^{2} - 34w - 16]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 71.2-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,6w^{5} - 2w^{4} - 42w^{3} - 18w^{2} + 23w + 6]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.2-b |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,6w^{5} - 2w^{4} - 42w^{3} - 18w^{2} + 23w + 6]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.2-c |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,6w^{5} - 2w^{4} - 42w^{3} - 18w^{2} + 23w + 6]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.2-d |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,6w^{5} - 2w^{4} - 42w^{3} - 18w^{2} + 23w + 6]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 71.3-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,8w^{5} - 2w^{4} - 58w^{3} - 27w^{2} + 38w + 10]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.3-b |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,8w^{5} - 2w^{4} - 58w^{3} - 27w^{2} + 38w + 10]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.3-c |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,8w^{5} - 2w^{4} - 58w^{3} - 27w^{2} + 38w + 10]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.3-d |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,8w^{5} - 2w^{4} - 58w^{3} - 27w^{2} + 38w + 10]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 71.4-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,-2w^{5} + 2w^{4} + 13w^{3} - 3w^{2} - 8w + 1]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.4-b |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,-2w^{5} + 2w^{4} + 13w^{3} - 3w^{2} - 8w + 1]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.4-c |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,-2w^{5} + 2w^{4} + 13w^{3} - 3w^{2} - 8w + 1]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.4-d |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,-2w^{5} + 2w^{4} + 13w^{3} - 3w^{2} - 8w + 1]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 71.5-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,-7w^{5} + 2w^{4} + 50w^{3} + 23w^{2} - 32w - 12]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.5-b |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,-7w^{5} + 2w^{4} + 50w^{3} + 23w^{2} - 32w - 12]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.5-c |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,-7w^{5} + 2w^{4} + 50w^{3} + 23w^{2} - 32w - 12]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.5-d |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,-7w^{5} + 2w^{4} + 50w^{3} + 23w^{2} - 32w - 12]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 71.6-a |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,3w^{5} - w^{4} - 21w^{3} - 9w^{2} + 13w + 2]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.6-b |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,3w^{5} - w^{4} - 21w^{3} - 9w^{2} + 13w + 2]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.6-c |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,3w^{5} - w^{4} - 21w^{3} - 9w^{2} + 13w + 2]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 71.6-d |
6.6.300125.1 |
$6$ |
$300125$ |
$[71,71,3w^{5} - w^{4} - 21w^{3} - 9w^{2} + 13w + 2]$ |
$71$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 13.1-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[13, 13, w^{5} - 5w^{3} + 4w]$ |
$13$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 25.1-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[25, 5, w^{5} - 5w^{3} + 6w - 1]$ |
$25$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
✓ |
| 25.2-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[25,5,w^{3} - w^{2} - 3w + 1]$ |
$25$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
✓ |
| 25.3-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[25,5,-w^{5} + 4w^{3} + w^{2} - 3w - 2]$ |
$25$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
✓ |
| 27.1-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[27, 3, w^{4} - w^{3} - 4w^{2} + 2w + 2]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 27.1-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[27, 3, w^{4} - w^{3} - 4w^{2} + 2w + 2]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 27.2-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[27,3,-w^{4} + w^{3} + 4w^{2} - 2w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 27.2-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[27,3,-w^{4} + w^{3} + 4w^{2} - 2w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 53.1-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
