| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 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 |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 53.1-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 53.1-c |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 53.2-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,w^{4} - w^{3} - 4w^{2} + 3w + 4]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 53.2-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,w^{4} - w^{3} - 4w^{2} + 3w + 4]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 53.2-c |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,w^{4} - w^{3} - 4w^{2} + 3w + 4]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 53.3-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,w^{5} - w^{4} - 4w^{3} + 4w^{2} + 3w - 1]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 53.3-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,w^{5} - w^{4} - 4w^{3} + 4w^{2} + 3w - 1]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 53.3-c |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,w^{5} - w^{4} - 4w^{3} + 4w^{2} + 3w - 1]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 53.4-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,-w^{3} + 2w + 2]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 53.4-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,-w^{3} + 2w + 2]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 53.4-c |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,-w^{3} + 2w + 2]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 53.5-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,-w^{5} + 5w^{3} + w^{2} - 5w]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 53.5-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,-w^{5} + 5w^{3} + w^{2} - 5w]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 53.5-c |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,-w^{5} + 5w^{3} + w^{2} - 5w]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 53.6-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,w^{4} - 4w^{2} - w + 4]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 53.6-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,w^{4} - 4w^{2} - w + 4]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 53.6-c |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[53,53,w^{4} - 4w^{2} - w + 4]$ |
$53$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 64.1-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[64, 2, -2]$ |
$64$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 64.1-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[64, 2, -2]$ |
$64$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 64.1-c |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[64, 2, -2]$ |
$64$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 64.1-d |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[64, 2, -2]$ |
$64$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
✓ |
| 79.1-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.1-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.1-c |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.1-d |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.1-e |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$5$ |
|
|
| 79.2-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.2-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.2-c |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.2-d |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.2-e |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$5$ |
|
|
| 79.3-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,-w^{3} + w^{2} + 4w - 1]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.3-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,-w^{3} + w^{2} + 4w - 1]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.3-c |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,-w^{3} + w^{2} + 4w - 1]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.3-d |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,-w^{3} + w^{2} + 4w - 1]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.3-e |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,-w^{3} + w^{2} + 4w - 1]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$5$ |
|
|
| 79.4-a |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,w^{5} - 3w^{3} - w^{2} + 2]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.4-b |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,w^{5} - 3w^{3} - w^{2} + 2]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.4-c |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,w^{5} - 3w^{3} - w^{2} + 2]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 79.4-d |
\(\Q(\zeta_{13})^+\) |
$6$ |
$371293$ |
$[79,79,w^{5} - 3w^{3} - w^{2} + 2]$ |
$79$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
