| Label |
Degree |
Group |
abc |
Ramification type |
Genus |
Orbit Size |
Base field |
Triples |
Primitivization |
| 9T33-5.2.2_4.2.1.1.1_4.3.2-a |
$9$ |
9T33 |
$[10, 4, 12]$ |
$[[5, 2, 2], [4, 2, 1, 1, 1], [4, 3, 2]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[9, 6, 8, 7, 1, 2, 4, 5, 3], [2, 3, 4, 1, 6, 5, 7, 8, 9], [6, 5, 9, 7, 8, 1, 3, 2, 4]], [[5, 7, 6, 9, 8, 3, 2, 4, 1], [2, 4, 1, 3, 6, 5, 7, 8, 9], [9, 7, 5, 8, 3, 4, 1, 6, 2]], [[2, 8, 6, 5, 4, 3, 9, 7, 1], [2, 4, 1, 3, 6, 5, 7, 8, 9], [9, 3, 5, 6, 2, 4, 8, 1, 7]], [[9, 8, 5, 1, 3, 4, 6, 2, 7], [2, 4, 1, 3, 6, 5, 7, 8, 9], [2, 8, 6, 5, 4, 7, 9, 1, 3]], [[3, 6, 5, 8, 7, 2, 9, 4, 1], [2, 3, 4, 1, 6, 5, 7, 8, 9], [9, 5, 4, 8, 2, 1, 6, 3, 7]], [[5, 3, 2, 9, 8, 7, 1, 6, 4], [2, 4, 1, 3, 6, 5, 7, 8, 9], [7, 4, 1, 9, 3, 8, 5, 6, 2]], [[5, 8, 7, 6, 2, 4, 3, 9, 1], [2, 4, 1, 3, 6, 5, 7, 8, 9], [9, 6, 7, 5, 3, 2, 4, 1, 8]], [[7, 4, 8, 2, 1, 9, 6, 3, 5], [2, 3, 4, 1, 6, 5, 7, 8, 9], [6, 3, 8, 1, 9, 7, 4, 2, 5]], [[9, 6, 5, 7, 3, 2, 1, 4, 8], [2, 3, 4, 1, 6, 5, 7, 8, 9], [7, 5, 6, 8, 2, 1, 3, 9, 4]], [[8, 7, 5, 6, 3, 1, 2, 9, 4], [2, 3, 4, 1, 6, 5, 7, 8, 9], [5, 7, 6, 9, 2, 3, 1, 4, 8]], [[6, 8, 7, 1, 4, 9, 3, 2, 5], [2, 4, 1, 3, 6, 5, 7, 8, 9], [2, 8, 7, 6, 9, 3, 4, 1, 5]], [[4, 8, 9, 6, 7, 2, 5, 1, 3], [2, 4, 1, 3, 6, 5, 7, 8, 9], [8, 5, 9, 3, 7, 2, 6, 1, 4]], [[8, 9, 1, 6, 7, 3, 5, 4, 2], [2, 3, 4, 1, 6, 5, 7, 8, 9], [2, 9, 5, 8, 7, 3, 6, 4, 1]], [[7, 8, 5, 9, 3, 4, 6, 2, 1], [4, 3, 1, 2, 6, 5, 7, 8, 9], [9, 8, 6, 5, 2, 7, 3, 4, 1]], [[5, 6, 8, 7, 9, 2, 1, 3, 4], [4, 3, 1, 2, 6, 5, 7, 8, 9], [7, 5, 8, 9, 3, 4, 1, 2, 6]]]$ |
9T33-5.2.2_4.2.1.1.1_4.3.2-a |
| 9T33-5.2.2_4.3.2_3.2.2.1.1-a |
$9$ |
9T33 |
$[10, 12, 6]$ |
$[[5, 2, 2], [4, 3, 2], [3, 2, 2, 1, 1]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[2, 3, 4, 5, 1, 7, 6, 9, 8], [3, 6, 9, 5, 4, 7, 8, 2, 1], [4, 9, 8, 1, 5, 6, 2, 3, 7]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [6, 4, 8, 2, 1, 7, 5, 9, 3], [7, 5, 4, 9, 2, 6, 1, 8, 3]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [2, 1, 5, 8, 9, 7, 4, 6, 3], [3, 2, 1, 9, 7, 6, 8, 5, 4]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [7, 8, 2, 5, 4, 3, 9, 6, 1], [4, 9, 3, 6, 5, 1, 8, 7, 2]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [7, 3, 2, 8, 4, 5, 9, 6, 1], [6, 9, 3, 2, 5, 1, 8, 7, 4]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [7, 9, 6, 3, 4, 5, 8, 1, 2], [6, 8, 9, 4, 5, 1, 3, 2, 7]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [8, 6, 2, 3, 9, 4, 1, 7, 5], [9, 7, 3, 4, 6, 8, 2, 5, 1]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [8, 9, 2, 6, 3, 7, 4, 1, 5], [9, 8, 3, 5, 7, 6, 4, 2, 1]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [8, 9, 6, 2, 4, 7, 3, 1, 5], [9, 8, 4, 7, 5, 6, 3, 2, 1]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [7, 6, 2, 5, 8, 3, 1, 9, 4], [4, 7, 3, 6, 9, 1, 2, 8, 5]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [7, 3, 8, 6, 4, 5, 1, 9, 2], [6, 7, 9, 2, 5, 1, 4, 8, 3]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [7, 6, 8, 3, 2, 5, 1, 9, 4], [6, 7, 5, 4, 9, 1, 2, 8, 3]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [2, 7, 5, 3, 4, 8, 9, 6, 1], [3, 9, 1, 4, 5, 2, 8, 7, 6]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [8, 7, 2, 6, 4, 9, 3, 1, 5], [9, 8, 3, 7, 5, 2, 4, 6, 1]], [[2, 3, 4, 5, 1, 7, 6, 9, 8], [9, 1, 6, 3, 8, 4, 2, 5, 7], [8, 2, 7, 4, 6, 9, 3, 1, 5]]]$ |
9T33-5.2.2_4.3.2_3.2.2.1.1-a |
| 9T33-7.1.1_3.3.1.1.1_4.3.2-a |
$9$ |
9T33 |
$[7, 3, 12]$ |
$[[7, 1, 1], [3, 3, 1, 1, 1], [4, 3, 2]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[9, 6, 3, 4, 1, 7, 5, 2, 8], [2, 3, 1, 5, 6, 4, 7, 8, 9], [4, 8, 2, 6, 7, 1, 5, 9, 3]], [[4, 9, 3, 5, 2, 6, 1, 7, 8], [2, 3, 1, 5, 6, 4, 7, 8, 9], [7, 4, 2, 3, 6, 5, 8, 9, 1]], [[9, 4, 3, 8, 1, 6, 5, 7, 2], [2, 3, 1, 5, 6, 4, 7, 8, 9], [4, 9, 2, 1, 7, 5, 8, 6, 3]], [[9, 8, 3, 4, 6, 1, 5, 7, 2], [2, 3, 1, 5, 6, 4, 7, 8, 9], [5, 9, 2, 6, 7, 4, 8, 1, 3]], [[9, 8, 3, 4, 6, 7, 1, 5, 2], [2, 3, 1, 5, 6, 4, 7, 8, 9], [7, 9, 2, 6, 8, 4, 5, 1, 3]], [[9, 5, 3, 4, 6, 7, 8, 1, 2], [2, 3, 1, 5, 6, 4, 7, 8, 9], [8, 9, 2, 6, 1, 4, 5, 7, 3]], [[6, 9, 3, 4, 2, 8, 5, 7, 1], [2, 3, 1, 5, 6, 4, 7, 8, 9], [9, 4, 2, 6, 7, 3, 8, 5, 1]], [[2, 7, 3, 4, 1, 9, 6, 5, 8], [2, 3, 1, 5, 6, 4, 7, 8, 9], [4, 3, 2, 6, 8, 7, 1, 9, 5]], [[9, 8, 5, 4, 2, 6, 1, 7, 3], [2, 3, 1, 5, 6, 4, 7, 8, 9], [7, 4, 9, 6, 2, 5, 8, 1, 3]], [[5, 8, 9, 4, 3, 6, 1, 7, 2], [2, 3, 1, 5, 6, 4, 7, 8, 9], [7, 9, 4, 6, 3, 5, 8, 1, 2]], [[7, 9, 3, 8, 2, 6, 4, 5, 1], [2, 3, 1, 5, 6, 4, 7, 8, 9], [9, 4, 2, 7, 8, 5, 3, 6, 1]], [[4, 2, 1, 9, 5, 7, 3, 6, 8], [2, 3, 1, 5, 6, 4, 7, 8, 9], [2, 1, 7, 3, 4, 8, 5, 9, 6]], [[4, 8, 3, 7, 9, 6, 5, 1, 2], [2, 3, 1, 5, 6, 4, 7, 8, 9], [8, 9, 2, 3, 7, 5, 6, 1, 4]], [[9, 7, 3, 5, 1, 6, 4, 2, 8], [2, 3, 1, 5, 6, 4, 7, 8, 9], [4, 8, 2, 7, 6, 5, 1, 9, 3]], [[9, 4, 3, 5, 7, 6, 1, 2, 8], [2, 3, 1, 5, 6, 4, 7, 8, 9], [7, 8, 2, 1, 6, 5, 4, 9, 3]]]$ |
9T33-7.1.1_3.3.1.1.1_4.3.2-a |
| 9T34-5.2.2_3.3.2.1_4.2.2.1-a |
$9$ |
9T34 |
$[10, 6, 4]$ |
$[[5, 2, 2], [3, 3, 2, 1], [4, 2, 2, 1]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[6, 8, 2, 7, 9, 3, 4, 1, 5], [5, 8, 3, 9, 7, 4, 1, 2, 6], [2, 3, 9, 5, 4, 7, 6, 8, 1]], [[6, 1, 8, 7, 9, 3, 4, 2, 5], [5, 2, 8, 9, 7, 4, 1, 3, 6], [2, 3, 9, 5, 4, 7, 6, 8, 1]], [[2, 4, 6, 5, 8, 3, 9, 1, 7], [7, 8, 1, 4, 2, 9, 3, 5, 6], [2, 3, 9, 5, 4, 7, 6, 8, 1]], [[2, 7, 9, 8, 6, 1, 5, 4, 3], [3, 6, 8, 9, 5, 7, 2, 1, 4], [2, 8, 4, 3, 6, 5, 7, 9, 1]], [[6, 5, 4, 3, 2, 7, 9, 1, 8], [3, 8, 5, 4, 1, 2, 9, 6, 7], [2, 3, 4, 1, 6, 5, 8, 7, 9]], [[3, 8, 7, 5, 1, 9, 4, 2, 6], [6, 5, 7, 1, 9, 4, 3, 8, 2], [2, 8, 4, 3, 6, 5, 7, 9, 1]], [[3, 7, 5, 9, 6, 8, 2, 1, 4], [9, 8, 7, 1, 5, 3, 6, 2, 4], [2, 3, 4, 1, 6, 5, 8, 7, 9]], [[3, 7, 8, 9, 6, 1, 2, 5, 4], [9, 6, 7, 1, 5, 8, 3, 2, 4], [2, 3, 4, 1, 6, 5, 8, 7, 9]], [[3, 6, 2, 9, 7, 8, 5, 1, 4], [9, 8, 3, 1, 2, 7, 6, 5, 4], [2, 3, 4, 1, 6, 5, 8, 7, 9]], [[5, 3, 4, 1, 2, 8, 9, 6, 7], [7, 2, 5, 1, 3, 8, 4, 9, 6], [7, 3, 2, 5, 4, 6, 8, 9, 1]], [[3, 1, 5, 9, 8, 7, 6, 2, 4], [9, 2, 8, 1, 7, 3, 5, 6, 4], [2, 3, 4, 1, 6, 5, 8, 7, 9]], [[7, 1, 8, 2, 4, 9, 5, 3, 6], [6, 2, 5, 8, 9, 7, 1, 4, 3], [2, 8, 4, 3, 6, 5, 7, 9, 1]], [[5, 1, 8, 7, 4, 9, 2, 3, 6], [6, 2, 5, 8, 9, 1, 4, 7, 3], [2, 8, 4, 3, 6, 5, 7, 9, 1]], [[7, 3, 2, 9, 4, 8, 5, 6, 1], [5, 9, 3, 2, 8, 7, 6, 1, 4], [2, 3, 4, 1, 6, 5, 8, 7, 9]], [[8, 3, 2, 1, 4, 7, 6, 9, 5], [5, 4, 3, 2, 7, 9, 1, 6, 8], [2, 3, 4, 1, 6, 5, 8, 7, 9]]]$ |
9T34-5.2.2_3.3.2.1_4.2.2.1-a |
| 9T34-6.1.1.1_5.2.2_4.3.1.1-a |
$9$ |
9T34 |
$[6, 10, 12]$ |
$[[6, 1, 1, 1], [5, 2, 2], [4, 3, 1, 1]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[2, 3, 4, 5, 6, 1, 7, 8, 9], [6, 8, 4, 3, 7, 2, 5, 9, 1], [1, 9, 6, 4, 3, 7, 5, 2, 8]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [2, 7, 4, 3, 6, 5, 8, 9, 1], [5, 9, 1, 4, 3, 6, 2, 7, 8]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 7, 4, 3, 6, 5, 8, 1, 2], [5, 8, 9, 4, 3, 6, 2, 7, 1]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [6, 8, 7, 5, 4, 2, 3, 9, 1], [1, 9, 6, 7, 5, 4, 3, 2, 8]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [3, 8, 2, 5, 4, 7, 6, 9, 1], [7, 9, 3, 1, 5, 4, 6, 2, 8]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [6, 4, 7, 2, 8, 5, 3, 9, 1], [1, 9, 4, 7, 2, 6, 3, 5, 8]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 3, 2, 6, 7, 5, 8, 4, 1], [4, 9, 3, 2, 8, 6, 5, 7, 1]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [6, 3, 2, 7, 9, 4, 8, 1, 5], [1, 8, 3, 2, 6, 9, 4, 7, 5]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [5, 3, 2, 7, 4, 9, 8, 1, 6], [9, 8, 3, 2, 5, 1, 4, 7, 6]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 7, 2, 5, 4, 8, 6, 3, 1], [7, 9, 3, 8, 5, 4, 2, 6, 1]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [8, 6, 2, 3, 9, 7, 4, 1, 5], [2, 8, 3, 4, 7, 9, 6, 1, 5]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [8, 7, 2, 3, 9, 4, 6, 1, 5], [7, 8, 3, 4, 6, 9, 2, 1, 5]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 8, 4, 3, 7, 5, 2, 6, 1], [8, 9, 7, 4, 3, 6, 5, 2, 1]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [6, 7, 9, 3, 8, 4, 2, 5, 1], [1, 9, 7, 4, 6, 8, 2, 5, 3]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [7, 3, 2, 9, 6, 5, 8, 4, 1], [5, 9, 3, 2, 8, 6, 1, 7, 4]]]$ |
9T34-6.1.1.1_5.2.2_4.3.1.1-a |
| 9T34-6.1.1.1_5.4_3.2.2.1.1-a |
$9$ |
9T34 |
$[6, 20, 6]$ |
$[[6, 1, 1, 1], [5, 4], [3, 2, 2, 1, 1]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[2, 3, 4, 5, 6, 1, 7, 8, 9], [6, 8, 5, 3, 7, 2, 4, 9, 1], [1, 9, 6, 4, 7, 3, 5, 2, 8]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [3, 8, 2, 6, 7, 5, 4, 9, 1], [4, 9, 3, 1, 7, 6, 5, 2, 8]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 8, 2, 6, 7, 5, 4, 1, 3], [4, 8, 3, 9, 7, 6, 5, 2, 1]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [3, 8, 2, 6, 4, 7, 5, 9, 1], [4, 9, 3, 1, 5, 7, 6, 2, 8]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [6, 7, 5, 9, 4, 2, 8, 1, 3], [1, 8, 6, 9, 5, 3, 2, 7, 4]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [6, 9, 7, 3, 8, 2, 5, 4, 1], [1, 9, 6, 4, 8, 7, 3, 5, 2]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [3, 8, 7, 9, 4, 5, 2, 1, 6], [9, 8, 7, 1, 5, 6, 3, 2, 4]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [6, 8, 5, 9, 4, 7, 2, 1, 3], [1, 8, 7, 9, 5, 3, 6, 2, 4]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [6, 4, 2, 9, 8, 7, 5, 1, 3], [1, 8, 3, 9, 2, 7, 6, 5, 4]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [2, 8, 6, 3, 7, 5, 4, 9, 1], [3, 9, 1, 4, 7, 6, 5, 2, 8]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [2, 8, 6, 7, 4, 5, 3, 9, 1], [3, 9, 1, 7, 5, 6, 4, 2, 8]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 5, 7, 3, 4, 8, 2, 1, 6], [9, 8, 7, 4, 5, 2, 3, 6, 1]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 8, 6, 3, 7, 5, 4, 1, 2], [3, 8, 9, 4, 7, 6, 5, 2, 1]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [2, 7, 6, 3, 4, 9, 8, 1, 5], [3, 8, 1, 4, 5, 9, 2, 7, 6]], [[2, 3, 4, 5, 6, 1, 7, 8, 9], [7, 8, 6, 3, 4, 9, 2, 1, 5], [3, 8, 7, 4, 5, 9, 1, 2, 6]]]$ |
9T34-6.1.1.1_5.4_3.2.2.1.1-a |
| 9T34-7.1.1_4.3.1.1_3.2.2.2-a |
$9$ |
9T34 |
$[7, 12, 6]$ |
$[[7, 1, 1], [4, 3, 1, 1], [3, 2, 2, 2]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[2, 3, 4, 5, 6, 7, 1, 8, 9], [5, 2, 1, 4, 3, 7, 8, 9, 6], [6, 3, 2, 5, 4, 1, 9, 7, 8]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [2, 9, 3, 7, 5, 4, 8, 6, 1], [4, 9, 1, 3, 6, 5, 8, 7, 2]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [3, 2, 9, 7, 5, 4, 8, 6, 1], [4, 9, 2, 1, 6, 5, 8, 7, 3]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [9, 2, 1, 7, 5, 4, 8, 6, 3], [4, 3, 2, 9, 6, 5, 8, 7, 1]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [1, 3, 9, 7, 5, 4, 8, 6, 2], [4, 1, 9, 2, 6, 5, 8, 7, 3]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [8, 6, 3, 2, 5, 4, 9, 7, 1], [8, 9, 4, 3, 6, 5, 2, 1, 7]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [2, 9, 7, 4, 5, 3, 8, 6, 1], [3, 9, 1, 6, 4, 5, 8, 7, 2]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [1, 2, 7, 5, 9, 3, 8, 6, 4], [3, 1, 2, 6, 9, 4, 8, 7, 5]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [1, 7, 4, 9, 5, 2, 8, 6, 3], [2, 1, 6, 9, 3, 5, 8, 7, 4]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [1, 7, 3, 5, 9, 2, 8, 6, 4], [2, 1, 6, 3, 9, 4, 8, 7, 5]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [1, 7, 9, 4, 3, 2, 8, 6, 5], [2, 1, 6, 5, 4, 9, 8, 7, 3]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [1, 7, 5, 4, 9, 2, 8, 6, 3], [2, 1, 6, 9, 4, 3, 8, 7, 5]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [9, 2, 1, 5, 8, 3, 7, 4, 6], [7, 3, 2, 6, 8, 4, 9, 5, 1]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [9, 2, 1, 4, 3, 7, 8, 6, 5], [6, 3, 2, 5, 4, 9, 8, 7, 1]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [5, 2, 1, 4, 9, 7, 8, 6, 3], [6, 3, 2, 9, 4, 1, 8, 7, 5]]]$ |
9T34-7.1.1_4.3.1.1_3.2.2.2-a |
| 9T34-7.1.1_6.1.1.1_3.3.2.1-a |
$9$ |
9T34 |
$[7, 6, 6]$ |
$[[7, 1, 1], [6, 1, 1, 1], [3, 3, 2, 1]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[8, 7, 2, 4, 3, 1, 6, 5, 9], [2, 3, 4, 5, 9, 6, 7, 8, 1], [6, 2, 4, 3, 8, 7, 1, 9, 5]], [[5, 9, 3, 7, 4, 6, 2, 1, 8], [2, 3, 4, 5, 6, 1, 7, 8, 9], [8, 7, 2, 4, 6, 5, 3, 9, 1]], [[7, 9, 3, 2, 4, 6, 5, 1, 8], [2, 3, 4, 5, 6, 1, 7, 8, 9], [8, 3, 2, 4, 7, 5, 6, 9, 1]], [[8, 2, 9, 4, 3, 5, 6, 7, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 1, 4, 3, 5, 7, 8, 6, 2]], [[5, 9, 2, 4, 7, 6, 3, 1, 8], [2, 3, 4, 5, 6, 1, 7, 8, 9], [8, 2, 7, 3, 6, 5, 4, 9, 1]], [[6, 9, 8, 4, 5, 3, 2, 7, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 7, 5, 3, 4, 6, 8, 2, 1]], [[4, 9, 8, 3, 5, 6, 2, 7, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 7, 3, 6, 4, 5, 8, 2, 1]], [[6, 9, 3, 4, 2, 8, 5, 7, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 4, 2, 3, 7, 6, 8, 5, 1]], [[6, 9, 3, 2, 5, 7, 4, 1, 8], [2, 3, 4, 5, 6, 1, 7, 8, 9], [8, 3, 2, 7, 4, 6, 5, 9, 1]], [[8, 9, 2, 4, 5, 3, 6, 7, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 2, 5, 3, 4, 7, 8, 6, 1]], [[8, 9, 3, 4, 2, 5, 6, 7, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 4, 2, 3, 5, 7, 8, 6, 1]], [[4, 9, 2, 8, 5, 6, 3, 7, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 2, 7, 6, 4, 5, 8, 3, 1]], [[6, 9, 3, 8, 5, 7, 4, 2, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9], [9, 8, 2, 7, 4, 6, 5, 3, 1]], [[7, 8, 2, 4, 6, 3, 5, 1, 9], [2, 3, 4, 5, 9, 6, 7, 8, 1], [8, 2, 6, 3, 7, 4, 9, 1, 5]], [[9, 2, 7, 3, 5, 8, 1, 4, 6], [2, 3, 4, 5, 6, 1, 7, 8, 9], [7, 1, 3, 8, 4, 9, 2, 5, 6]]]$ |
9T34-7.1.1_6.1.1.1_3.3.2.1-a |
| 9T34-7.2_3.2.2.1.1_6.1.1.1-a |
$9$ |
9T34 |
$[14, 6, 6]$ |
$[[7, 2], [3, 2, 2, 1, 1], [6, 1, 1, 1]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[9, 7, 4, 3, 2, 5, 8, 1, 6], [9, 8, 5, 4, 3, 6, 2, 7, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9]], [[6, 8, 7, 5, 4, 3, 2, 9, 1], [1, 9, 7, 6, 5, 4, 3, 2, 8], [2, 3, 4, 5, 6, 1, 7, 8, 9]], [[9, 7, 2, 5, 4, 3, 8, 1, 6], [9, 8, 3, 6, 5, 4, 2, 7, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9]], [[9, 8, 4, 3, 7, 5, 2, 1, 6], [9, 8, 7, 4, 3, 6, 5, 2, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9]], [[4, 8, 7, 3, 6, 5, 2, 9, 1], [5, 9, 7, 4, 1, 6, 3, 2, 8], [2, 3, 4, 5, 6, 1, 7, 8, 9]], [[4, 8, 2, 7, 6, 5, 3, 9, 1], [5, 9, 3, 7, 1, 6, 4, 2, 8], [2, 3, 4, 5, 6, 1, 7, 8, 9]], [[9, 8, 7, 3, 6, 5, 2, 1, 4], [5, 8, 7, 4, 9, 6, 3, 2, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9]], [[5, 8, 7, 3, 4, 9, 2, 1, 6], [9, 8, 7, 4, 5, 1, 3, 2, 6], [2, 3, 4, 5, 6, 1, 7, 8, 9]], [[9, 8, 2, 7, 6, 5, 3, 1, 4], [5, 8, 3, 7, 9, 6, 4, 2, 1], [2, 3, 4, 5, 6, 1, 7, 8, 9]], [[5, 8, 2, 7, 4, 9, 3, 1, 6], [9, 8, 3, 7, 5, 1, 4, 2, 6], [2, 3, 4, 5, 6, 1, 7, 8, 9]], [[5, 1, 2, 7, 6, 4, 3, 9, 8], [8, 2, 3, 7, 6, 5, 4, 9, 1], [2, 3, 4, 5, 9, 6, 7, 8, 1]], [[5, 6, 2, 3, 7, 1, 4, 9, 8], [8, 6, 3, 4, 7, 2, 5, 9, 1], [2, 3, 4, 5, 9, 6, 7, 8, 1]], [[5, 1, 8, 3, 6, 4, 9, 2, 7], [7, 2, 8, 4, 6, 5, 9, 3, 1], [2, 3, 4, 5, 9, 6, 7, 8, 1]], [[5, 1, 8, 6, 4, 3, 9, 2, 7], [7, 2, 8, 6, 5, 4, 9, 3, 1], [2, 3, 4, 5, 9, 6, 7, 8, 1]], [[6, 7, 4, 3, 2, 9, 8, 1, 5], [1, 8, 5, 4, 3, 9, 2, 7, 6], [2, 3, 4, 5, 6, 1, 7, 8, 9]]]$ |
9T34-7.2_3.2.2.1.1_6.1.1.1-a |
| 9T34-9_3.2.1.1.1.1_4.3.1.1-a |
$9$ |
9T34 |
$[9, 6, 12]$ |
$[[9], [3, 2, 1, 1, 1, 1], [4, 3, 1, 1]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[3, 7, 9, 1, 4, 5, 6, 2, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9], [5, 8, 3, 4, 6, 7, 1, 9, 2]], [[9, 7, 2, 1, 4, 5, 6, 3, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9], [5, 2, 8, 4, 6, 7, 1, 9, 3]], [[3, 7, 9, 6, 4, 1, 5, 2, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9], [6, 8, 3, 4, 7, 5, 1, 9, 2]], [[9, 7, 2, 6, 4, 1, 5, 3, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9], [6, 2, 8, 4, 7, 5, 1, 9, 3]], [[3, 5, 9, 6, 4, 7, 1, 2, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9], [7, 8, 3, 4, 1, 5, 6, 9, 2]], [[9, 5, 2, 6, 4, 7, 1, 3, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9], [7, 2, 8, 4, 1, 5, 6, 9, 3]], [[3, 8, 9, 5, 2, 1, 6, 7, 4], [2, 3, 1, 5, 4, 6, 7, 8, 9], [6, 4, 3, 9, 5, 7, 8, 1, 2]], [[9, 8, 2, 5, 3, 1, 6, 7, 4], [2, 3, 1, 5, 4, 6, 7, 8, 9], [6, 2, 4, 9, 5, 7, 8, 1, 3]], [[3, 9, 2, 8, 1, 5, 6, 7, 4], [2, 3, 1, 5, 4, 6, 7, 8, 9], [4, 2, 3, 9, 6, 7, 8, 5, 1]], [[3, 8, 4, 5, 9, 1, 6, 7, 2], [2, 3, 1, 5, 4, 6, 7, 8, 9], [6, 9, 3, 2, 5, 7, 8, 1, 4]], [[4, 8, 2, 5, 9, 1, 6, 7, 3], [2, 3, 1, 5, 4, 6, 7, 8, 9], [6, 2, 9, 3, 5, 7, 8, 1, 4]], [[3, 4, 2, 8, 9, 5, 6, 7, 1], [2, 3, 1, 5, 4, 6, 7, 8, 9], [9, 2, 3, 1, 6, 7, 8, 5, 4]], [[3, 7, 2, 1, 9, 5, 6, 4, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9], [5, 2, 3, 8, 6, 7, 1, 9, 4]], [[3, 7, 2, 6, 9, 1, 5, 4, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9], [6, 2, 3, 8, 7, 5, 1, 9, 4]], [[5, 1, 2, 7, 9, 3, 6, 4, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9], [1, 2, 6, 8, 3, 7, 5, 9, 4]]]$ |
9T34-9_3.2.1.1.1.1_4.3.1.1-a |
| 9T34-9_3.2.1.1.1.1_5.2.1.1-a |
$9$ |
9T34 |
$[9, 6, 10]$ |
$[[9], [3, 2, 1, 1, 1, 1], [5, 2, 1, 1]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[3, 8, 9, 1, 4, 5, 6, 7, 2], [2, 3, 1, 5, 4, 6, 7, 8, 9], [5, 9, 3, 4, 6, 7, 8, 1, 2]], [[9, 8, 2, 1, 4, 5, 6, 7, 3], [2, 3, 1, 5, 4, 6, 7, 8, 9], [5, 2, 9, 4, 6, 7, 8, 1, 3]], [[3, 8, 9, 6, 4, 1, 5, 7, 2], [2, 3, 1, 5, 4, 6, 7, 8, 9], [6, 9, 3, 4, 7, 5, 8, 1, 2]], [[9, 8, 2, 6, 4, 1, 5, 7, 3], [2, 3, 1, 5, 4, 6, 7, 8, 9], [6, 2, 9, 4, 7, 5, 8, 1, 3]], [[3, 7, 9, 6, 4, 8, 5, 1, 2], [2, 3, 1, 5, 4, 6, 7, 8, 9], [8, 9, 3, 4, 7, 5, 1, 6, 2]], [[9, 7, 2, 6, 4, 8, 5, 1, 3], [2, 3, 1, 5, 4, 6, 7, 8, 9], [8, 2, 9, 4, 7, 5, 1, 6, 3]], [[3, 5, 9, 6, 4, 8, 1, 7, 2], [2, 3, 1, 5, 4, 6, 7, 8, 9], [7, 9, 3, 4, 1, 5, 8, 6, 2]], [[9, 5, 2, 6, 4, 8, 1, 7, 3], [2, 3, 1, 5, 4, 6, 7, 8, 9], [7, 2, 9, 4, 1, 5, 8, 6, 3]], [[3, 9, 4, 5, 2, 1, 6, 7, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9], [6, 4, 3, 2, 5, 7, 8, 9, 1]], [[4, 9, 2, 5, 3, 1, 6, 7, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9], [6, 2, 4, 3, 5, 7, 8, 9, 1]], [[3, 4, 2, 9, 1, 5, 6, 7, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9], [4, 2, 3, 1, 6, 7, 8, 9, 5]], [[3, 8, 2, 1, 9, 5, 6, 7, 4], [2, 3, 1, 5, 4, 6, 7, 8, 9], [5, 2, 3, 9, 6, 7, 8, 1, 4]], [[3, 8, 2, 6, 9, 1, 5, 7, 4], [2, 3, 1, 5, 4, 6, 7, 8, 9], [6, 2, 3, 9, 7, 5, 8, 1, 4]], [[3, 9, 2, 8, 6, 7, 1, 5, 4], [2, 3, 1, 5, 4, 6, 7, 8, 9], [7, 2, 3, 9, 8, 4, 6, 5, 1]], [[5, 1, 2, 8, 9, 3, 6, 7, 4], [2, 3, 1, 5, 4, 6, 7, 8, 9], [1, 2, 6, 9, 3, 7, 8, 5, 4]]]$ |
9T34-9_3.2.1.1.1.1_5.2.1.1-a |
| 9T34-9_3.3.2.1_3.2.1.1.1.1-a |
$9$ |
9T34 |
$[9, 6, 6]$ |
$[[9], [3, 3, 2, 1], [3, 2, 1, 1, 1, 1]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[8, 4, 2, 6, 7, 5, 1, 9, 3], [9, 7, 3, 6, 2, 4, 5, 1, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[7, 4, 9, 5, 6, 1, 8, 3, 2], [8, 6, 9, 4, 2, 5, 1, 7, 3], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[3, 4, 8, 6, 7, 5, 1, 9, 2], [1, 7, 9, 6, 2, 4, 5, 3, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[7, 4, 8, 5, 6, 1, 3, 9, 2], [7, 6, 9, 4, 2, 5, 1, 3, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[8, 6, 9, 5, 2, 7, 1, 3, 4], [8, 7, 5, 4, 9, 2, 6, 1, 3], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[9, 4, 2, 6, 8, 7, 5, 1, 3], [9, 8, 3, 7, 2, 4, 6, 5, 1], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[9, 6, 2, 1, 7, 5, 8, 4, 3], [9, 4, 3, 6, 8, 2, 5, 7, 1], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[8, 6, 4, 5, 2, 7, 1, 9, 3], [9, 7, 5, 4, 3, 2, 6, 1, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[8, 4, 2, 6, 1, 7, 5, 9, 3], [9, 5, 3, 7, 2, 4, 6, 1, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[3, 4, 9, 6, 8, 7, 5, 1, 2], [1, 8, 9, 7, 2, 4, 6, 5, 3], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[7, 6, 9, 5, 2, 1, 8, 3, 4], [8, 6, 5, 4, 9, 2, 1, 7, 3], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[3, 7, 9, 6, 2, 5, 8, 1, 4], [1, 8, 5, 6, 9, 4, 2, 7, 3], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[3, 4, 8, 6, 1, 7, 5, 9, 2], [1, 5, 9, 7, 2, 4, 6, 3, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[3, 7, 8, 6, 1, 5, 4, 9, 2], [1, 5, 9, 6, 7, 4, 2, 3, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9]], [[7, 6, 2, 3, 8, 1, 5, 9, 4], [4, 6, 3, 7, 9, 2, 1, 5, 8], [2, 3, 1, 5, 4, 6, 7, 8, 9]]]$ |
9T34-9_3.3.2.1_3.2.1.1.1.1-a |
| 9T34-9_4.2.2.1_3.2.1.1.1.1-a |
$9$ |
9T34 |
$[9, 4, 6]$ |
$[[9], [4, 2, 2, 1], [3, 2, 1, 1, 1, 1]]$ |
$0$ |
$15$ |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
$[[[7, 1, 2, 3, 4, 5, 9, 6, 8], [2, 3, 4, 1, 6, 5, 8, 7, 9], [1, 2, 3, 6, 5, 7, 4, 9, 8]], [[6, 1, 2, 3, 7, 5, 9, 4, 8], [2, 3, 4, 1, 6, 5, 8, 7, 9], [1, 2, 3, 7, 5, 4, 6, 9, 8]], [[7, 1, 2, 9, 6, 3, 8, 4, 5], [2, 3, 4, 1, 6, 5, 8, 7, 9], [1, 2, 5, 7, 9, 6, 4, 8, 3]], [[7, 1, 2, 5, 6, 9, 8, 4, 3], [2, 3, 4, 1, 6, 5, 8, 7, 9], [1, 2, 9, 7, 3, 6, 4, 8, 5]], [[9, 1, 2, 3, 7, 4, 8, 6, 5], [2, 3, 4, 1, 6, 5, 8, 7, 9], [1, 2, 3, 5, 9, 7, 6, 8, 4]], [[5, 1, 2, 3, 7, 9, 8, 6, 4], [2, 3, 4, 1, 6, 5, 8, 7, 9], [1, 2, 3, 9, 4, 7, 6, 8, 5]], [[4, 8, 2, 3, 9, 5, 1, 6, 7], [2, 3, 4, 1, 6, 5, 8, 7, 9], [8, 2, 3, 4, 5, 7, 9, 1, 6]], [[4, 8, 2, 3, 7, 5, 1, 9, 6], [2, 3, 4, 1, 6, 5, 8, 7, 9], [8, 2, 3, 4, 5, 9, 6, 1, 7]], [[7, 1, 9, 3, 6, 2, 8, 4, 5], [2, 3, 4, 1, 6, 5, 8, 7, 9], [1, 5, 3, 7, 9, 6, 4, 8, 2]], [[7, 1, 5, 3, 6, 9, 8, 4, 2], [2, 3, 4, 1, 6, 5, 8, 7, 9], [1, 9, 3, 7, 2, 6, 4, 8, 5]], [[9, 1, 2, 7, 6, 4, 8, 3, 5], [2, 3, 4, 1, 6, 5, 8, 7, 9], [1, 2, 7, 5, 9, 6, 3, 8, 4]], [[5, 1, 2, 7, 6, 9, 8, 3, 4], [2, 3, 4, 1, 6, 5, 8, 7, 9], [1, 2, 7, 9, 4, 6, 3, 8, 5]], [[7, 9, 2, 3, 4, 5, 8, 6, 1], [2, 3, 4, 1, 6, 5, 8, 7, 9], [9, 2, 3, 6, 5, 7, 4, 8, 1]], [[7, 1, 9, 3, 4, 5, 8, 6, 2], [2, 3, 4, 1, 6, 5, 8, 7, 9], [1, 9, 3, 6, 5, 7, 4, 8, 2]], [[4, 9, 8, 3, 2, 5, 6, 7, 1], [2, 3, 4, 1, 6, 5, 8, 7, 9], [9, 6, 3, 4, 5, 8, 7, 2, 1]]]$ |
9T34-9_4.2.2.1_3.2.1.1.1.1-a |
