| Label |
Degree |
Group |
abc |
Ramification type |
Genus |
Orbit Size |
Base field |
Triples |
Primitivization |
| 6T15-5.1_5.1_4.2-a |
$6$ |
6T15 |
$[5, 5, 4]$ |
$[[5, 1], [5, 1], [4, 2]]$ |
$1$ |
$4$ |
\(\Q(\sqrt{-6}, \sqrt{10})\) |
$[[[3, 1, 4, 5, 2, 6], [3, 2, 5, 1, 6, 4], [2, 3, 4, 1, 6, 5]], [[2, 4, 3, 5, 6, 1], [2, 6, 1, 3, 5, 4], [2, 3, 4, 1, 6, 5]], [[3, 2, 4, 5, 6, 1], [3, 6, 2, 1, 5, 4], [2, 3, 4, 1, 6, 5]], [[2, 4, 5, 3, 1, 6], [2, 5, 1, 4, 6, 3], [2, 3, 4, 1, 6, 5]]]$ |
6T15-5.1_5.1_4.2-a |
| 6T15-5.1_5.1_4.2-b |
$6$ |
6T15 |
$[5, 5, 4]$ |
$[[5, 1], [5, 1], [4, 2]]$ |
$1$ |
$4$ |
4.2.24000.2 |
$[[[2, 3, 5, 4, 6, 1], [4, 6, 1, 2, 5, 3], [2, 3, 4, 1, 6, 5]], [[5, 1, 3, 6, 4, 2], [5, 2, 6, 3, 4, 1], [2, 3, 4, 1, 6, 5]], [[4, 6, 3, 5, 2, 1], [1, 6, 5, 3, 2, 4], [2, 3, 4, 1, 6, 5]], [[3, 4, 2, 5, 1, 6], [2, 5, 3, 1, 6, 4], [2, 3, 4, 1, 6, 5]]]$ |
6T15-5.1_5.1_4.2-b |
| 6T15-5.1_5.1_5.1-a |
$6$ |
6T15 |
$[5, 5, 5]$ |
$[[5, 1], [5, 1], [5, 1]]$ |
$1$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
$[[[2, 3, 4, 5, 1, 6], [3, 1, 5, 4, 6, 2], [3, 2, 6, 1, 4, 5]], [[2, 3, 4, 5, 1, 6], [3, 2, 5, 6, 4, 1], [3, 6, 2, 1, 5, 4]]]$ |
6T15-5.1_5.1_5.1-a |
| 6T15-5.1_5.1_5.1-b |
$6$ |
6T15 |
$[5, 5, 5]$ |
$[[5, 1], [5, 1], [5, 1]]$ |
$1$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
$[[[2, 3, 4, 5, 1, 6], [3, 1, 4, 6, 5, 2], [5, 2, 6, 1, 3, 4]], [[2, 3, 4, 5, 1, 6], [1, 3, 5, 6, 4, 2], [3, 1, 6, 2, 5, 4]]]$ |
6T15-5.1_5.1_5.1-b |
| 6T15-5.1_5.1_5.1-c |
$6$ |
6T15 |
$[5, 5, 5]$ |
$[[5, 1], [5, 1], [5, 1]]$ |
$1$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$[[[2, 3, 4, 5, 1, 6], [2, 5, 3, 6, 4, 1], [2, 6, 1, 3, 5, 4]], [[2, 3, 4, 5, 1, 6], [4, 1, 3, 5, 6, 2], [4, 2, 6, 3, 1, 5]]]$ |
6T15-5.1_5.1_5.1-c |
| 6T15-5.1_5.1_5.1-d |
$6$ |
6T15 |
$[5, 5, 5]$ |
$[[5, 1], [5, 1], [5, 1]]$ |
$1$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
$[[[2, 3, 4, 5, 1, 6], [4, 2, 5, 3, 6, 1], [3, 6, 2, 4, 1, 5]], [[2, 3, 4, 5, 1, 6], [4, 1, 3, 6, 2, 5], [6, 2, 5, 3, 1, 4]]]$ |
6T15-5.1_5.1_5.1-d |
| 6T16-6_5.1_3.2.1-a |
$6$ |
6T16 |
$[6, 5, 6]$ |
$[[6], [5, 1], [3, 2, 1]]$ |
$1$ |
$8$ |
8.0.\(\cdots\).17 |
$[[[2, 3, 6, 1, 4, 5], [2, 3, 4, 5, 1, 6], [3, 5, 1, 4, 6, 2]], [[4, 6, 2, 5, 3, 1], [2, 3, 4, 5, 1, 6], [6, 2, 4, 5, 3, 1]], [[6, 3, 5, 1, 4, 2], [2, 3, 4, 5, 1, 6], [3, 6, 1, 4, 2, 5]], [[4, 1, 6, 5, 3, 2], [2, 3, 4, 5, 1, 6], [1, 6, 4, 5, 3, 2]], [[4, 6, 5, 3, 2, 1], [2, 3, 4, 5, 1, 6], [6, 4, 3, 5, 2, 1]], [[3, 5, 2, 1, 6, 4], [2, 3, 4, 5, 1, 6], [3, 2, 5, 6, 1, 4]], [[6, 4, 5, 3, 1, 2], [2, 3, 4, 5, 1, 6], [4, 6, 3, 1, 2, 5]], [[5, 3, 4, 1, 6, 2], [2, 3, 4, 5, 1, 6], [3, 6, 1, 2, 5, 4]]]$ |
6T16-6_5.1_3.2.1-a |
| 7T6-7_4.2.1_3.2.2-a |
$7$ |
7T6 |
$[7, 4, 6]$ |
$[[7], [4, 2, 1], [3, 2, 2]]$ |
$1$ |
$2$ |
\(\Q(\sqrt{70}) \) |
$[[[2, 3, 6, 5, 7, 4, 1], [2, 7, 1, 4, 6, 5, 3], [2, 3, 1, 5, 4, 7, 6]], [[7, 5, 2, 3, 6, 1, 4], [4, 6, 3, 2, 7, 1, 5], [2, 3, 1, 5, 4, 7, 6]]]$ |
7T6-7_4.2.1_3.2.2-a |
| 7T6-7_4.2.1_3.2.2-b |
$7$ |
7T6 |
$[7, 4, 6]$ |
$[[7], [4, 2, 1], [3, 2, 2]]$ |
$1$ |
$6$ |
6.2.62233920.1 |
$[[[3, 7, 4, 6, 2, 5, 1], [1, 7, 5, 6, 3, 2, 4], [2, 3, 1, 5, 4, 7, 6]], [[7, 3, 6, 5, 1, 4, 2], [2, 5, 7, 4, 6, 1, 3], [2, 3, 1, 5, 4, 7, 6]], [[2, 7, 4, 5, 6, 1, 3], [7, 6, 1, 4, 3, 2, 5], [2, 3, 1, 5, 4, 7, 6]], [[6, 4, 5, 3, 1, 7, 2], [4, 5, 7, 3, 2, 6, 1], [2, 3, 1, 5, 4, 7, 6]], [[3, 6, 4, 2, 7, 5, 1], [1, 7, 4, 6, 3, 5, 2], [2, 3, 1, 5, 4, 7, 6]], [[6, 7, 4, 5, 2, 3, 1], [6, 7, 5, 4, 3, 2, 1], [2, 3, 1, 5, 4, 7, 6]]]$ |
7T6-7_4.2.1_3.2.2-b |
| 7T6-7_5.1.1_3.3.1-a |
$7$ |
7T6 |
$[7, 5, 3]$ |
$[[7], [5, 1, 1], [3, 3, 1]]$ |
$1$ |
$3$ |
3.1.175.1 |
$[[[3, 1, 4, 5, 6, 7, 2], [1, 2, 7, 5, 3, 4, 6], [2, 3, 1, 5, 6, 4, 7]], [[2, 3, 4, 6, 7, 5, 1], [2, 7, 1, 4, 3, 6, 5], [2, 3, 1, 5, 6, 4, 7]], [[5, 1, 4, 6, 3, 7, 2], [5, 2, 7, 4, 3, 1, 6], [2, 3, 1, 5, 6, 4, 7]]]$ |
7T6-7_5.1.1_3.3.1-a |
| 7T6-7_5.1.1_3.3.1-b |
$7$ |
7T6 |
$[7, 5, 3]$ |
$[[7], [5, 1, 1], [3, 3, 1]]$ |
$1$ |
$5$ |
5.1.4630500.1 |
$[[[3, 1, 4, 5, 7, 2, 6], [1, 2, 6, 7, 3, 4, 5], [2, 3, 1, 5, 6, 4, 7]], [[7, 3, 4, 6, 1, 5, 2], [2, 5, 7, 4, 3, 6, 1], [2, 3, 1, 5, 6, 4, 7]], [[3, 6, 5, 2, 4, 7, 1], [1, 7, 4, 2, 5, 3, 6], [2, 3, 1, 5, 6, 4, 7]], [[3, 5, 4, 6, 1, 7, 2], [1, 5, 7, 4, 3, 2, 6], [2, 3, 1, 5, 6, 4, 7]], [[7, 4, 2, 6, 3, 1, 5], [5, 6, 3, 4, 2, 7, 1], [2, 3, 1, 5, 6, 4, 7]]]$ |
7T6-7_5.1.1_3.3.1-b |
| 7T6-7_7_3.3.1-a |
$7$ |
7T6 |
$[7, 7, 3]$ |
$[[7], [7], [3, 3, 1]]$ |
$2$ |
$1$ |
\(\Q\) |
$[[[5, 6, 4, 2, 3, 7, 1], [5, 7, 4, 2, 3, 1, 6], [2, 3, 1, 5, 6, 4, 7]]]$ |
7T6-7_7_3.3.1-a |
| 7T6-7_7_3.3.1-b |
$7$ |
7T6 |
$[7, 7, 3]$ |
$[[7], [7], [3, 3, 1]]$ |
$2$ |
$2$ |
\(\Q(\sqrt{5}) \) |
$[[[2, 4, 5, 3, 6, 7, 1], [4, 7, 1, 5, 2, 3, 6], [2, 3, 1, 5, 6, 4, 7]], [[7, 3, 4, 5, 1, 2, 6], [2, 5, 6, 7, 3, 4, 1], [2, 3, 1, 5, 6, 4, 7]]]$ |
7T6-7_7_3.3.1-b |
| 7T6-7_7_3.3.1-c |
$7$ |
7T6 |
$[7, 7, 3]$ |
$[[7], [7], [3, 3, 1]]$ |
$2$ |
$5$ |
5.1.46305.1 |
$[[[2, 3, 4, 5, 6, 7, 1], [2, 7, 1, 5, 3, 4, 6], [2, 3, 1, 5, 6, 4, 7]], [[6, 3, 4, 5, 1, 7, 2], [2, 5, 7, 1, 3, 4, 6], [2, 3, 1, 5, 6, 4, 7]], [[4, 3, 5, 2, 6, 7, 1], [2, 7, 4, 5, 1, 3, 6], [2, 3, 1, 5, 6, 4, 7]], [[6, 5, 4, 1, 3, 7, 2], [5, 4, 7, 1, 3, 2, 6], [2, 3, 1, 5, 6, 4, 7]], [[4, 6, 5, 3, 2, 7, 1], [4, 7, 5, 2, 1, 3, 6], [2, 3, 1, 5, 6, 4, 7]]]$ |
7T6-7_7_3.3.1-c |
| 7T7-4.2.1_4.3_4.3-a |
$7$ |
7T7 |
$[4, 12, 12]$ |
$[[4, 2, 1], [4, 3], [4, 3]]$ |
$1$ |
$8$ |
8.2.\(\cdots\).6 |
$[[[2, 3, 4, 1, 6, 5, 7], [6, 3, 4, 5, 2, 7, 1], [3, 7, 5, 2, 1, 4, 6]], [[2, 3, 4, 1, 6, 5, 7], [3, 4, 5, 6, 1, 7, 2], [2, 5, 7, 1, 4, 3, 6]], [[2, 3, 4, 1, 6, 5, 7], [6, 3, 5, 7, 2, 4, 1], [6, 7, 5, 2, 1, 3, 4]], [[2, 3, 4, 1, 6, 5, 7], [3, 4, 7, 5, 2, 1, 6], [2, 6, 5, 1, 7, 4, 3]], [[2, 3, 4, 1, 6, 5, 7], [2, 4, 5, 6, 7, 1, 3], [2, 6, 1, 7, 4, 3, 5]], [[2, 3, 4, 1, 6, 5, 7], [2, 3, 6, 7, 4, 1, 5], [5, 6, 1, 2, 3, 7, 4]], [[2, 3, 4, 1, 6, 5, 7], [3, 7, 4, 5, 1, 2, 6], [3, 5, 6, 1, 7, 4, 2]], [[2, 3, 4, 1, 6, 5, 7], [3, 5, 7, 6, 4, 2, 1], [5, 7, 6, 1, 4, 2, 3]]]$ |
7T7-4.2.1_4.3_4.3-a |
| 7T7-5.1.1_4.3_4.3-a |
$7$ |
7T7 |
$[5, 12, 12]$ |
$[[5, 1, 1], [4, 3], [4, 3]]$ |
$1$ |
$2$ |
\(\Q(\sqrt{105}) \) |
$[[[3, 2, 7, 5, 1, 6, 4], [2, 3, 4, 1, 6, 7, 5], [7, 1, 4, 6, 3, 5, 2]], [[5, 7, 3, 4, 6, 2, 1], [2, 3, 4, 1, 6, 7, 5], [6, 5, 2, 3, 4, 7, 1]]]$ |
7T7-5.1.1_4.3_4.3-a |
| 7T7-5.1.1_4.3_4.3-b |
$7$ |
7T7 |
$[5, 12, 12]$ |
$[[5, 1, 1], [4, 3], [4, 3]]$ |
$1$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
$[[[2, 6, 3, 5, 1, 4, 7], [2, 3, 4, 1, 6, 7, 5], [7, 4, 2, 5, 3, 1, 6]], [[2, 7, 6, 4, 5, 1, 3], [2, 3, 4, 1, 6, 7, 5], [5, 4, 6, 3, 7, 2, 1]]]$ |
7T7-5.1.1_4.3_4.3-b |
| 7T7-5.1.1_4.3_4.3-c |
$7$ |
7T7 |
$[5, 12, 12]$ |
$[[5, 1, 1], [4, 3], [4, 3]]$ |
$1$ |
$4$ |
4.4.3704400.1 |
$[[[3, 7, 4, 2, 5, 6, 1], [2, 3, 4, 1, 6, 7, 5], [6, 3, 4, 2, 7, 5, 1]], [[3, 2, 6, 5, 1, 4, 7], [2, 3, 4, 1, 6, 7, 5], [7, 1, 4, 5, 3, 2, 6]], [[7, 2, 3, 1, 6, 4, 5], [2, 3, 4, 1, 6, 7, 5], [3, 1, 2, 5, 6, 7, 4]], [[6, 2, 7, 4, 1, 3, 5], [2, 3, 4, 1, 6, 7, 5], [7, 1, 5, 3, 6, 4, 2]]]$ |
7T7-5.1.1_4.3_4.3-c |
| 7T7-6.1_3.3.1_4.3-a |
$7$ |
7T7 |
$[6, 3, 12]$ |
$[[6, 1], [3, 3, 1], [4, 3]]$ |
$1$ |
$8$ |
8.2.4096770048.3 |
$[[[5, 2, 7, 1, 3, 4, 6], [2, 3, 1, 5, 6, 4, 7], [6, 1, 4, 5, 3, 7, 2]], [[2, 7, 4, 1, 3, 6, 5], [2, 3, 1, 5, 6, 4, 7], [6, 3, 4, 2, 7, 5, 1]], [[3, 6, 4, 2, 1, 5, 7], [2, 7, 4, 5, 3, 6, 1], [4, 3, 7, 5, 6, 1, 2]], [[3, 5, 6, 2, 1, 4, 7], [2, 7, 4, 5, 3, 6, 1], [4, 3, 7, 6, 1, 5, 2]], [[3, 5, 4, 2, 6, 1, 7], [2, 7, 4, 5, 3, 6, 1], [6, 3, 7, 5, 1, 4, 2]], [[6, 2, 7, 5, 3, 4, 1], [2, 3, 1, 5, 6, 4, 7], [7, 1, 4, 5, 6, 3, 2]], [[4, 6, 1, 2, 3, 5, 7], [2, 7, 4, 5, 3, 6, 1], [5, 3, 4, 7, 6, 1, 2]], [[2, 7, 4, 1, 5, 3, 6], [2, 3, 1, 5, 6, 4, 7], [6, 3, 5, 2, 4, 7, 1]]]$ |
7T7-6.1_3.3.1_4.3-a |
| 7T7-7_4.1.1.1_5.2-a |
$7$ |
7T7 |
$[7, 4, 10]$ |
$[[7], [4, 1, 1, 1], [5, 2]]$ |
$1$ |
$2$ |
\(\Q(\sqrt{14}) \) |
$[[[2, 3, 7, 1, 4, 5, 6], [2, 3, 4, 1, 5, 6, 7], [3, 4, 1, 5, 6, 7, 2]], [[5, 6, 7, 1, 3, 4, 2], [2, 3, 4, 1, 5, 6, 7], [3, 7, 5, 6, 4, 1, 2]]]$ |
7T7-7_4.1.1.1_5.2-a |
| 7T7-7_4.1.1.1_5.2-b |
$7$ |
7T7 |
$[7, 4, 10]$ |
$[[7], [4, 1, 1, 1], [5, 2]]$ |
$1$ |
$6$ |
6.2.153664000.3 |
$[[[5, 7, 1, 2, 4, 3, 6], [2, 3, 4, 1, 5, 6, 7], [2, 3, 6, 5, 4, 7, 1]], [[5, 6, 7, 2, 4, 3, 1], [2, 3, 4, 1, 5, 6, 7], [7, 3, 6, 5, 4, 1, 2]], [[2, 7, 1, 5, 3, 4, 6], [2, 3, 4, 1, 5, 6, 7], [2, 4, 5, 6, 3, 7, 1]], [[3, 6, 7, 1, 4, 5, 2], [2, 3, 4, 1, 5, 6, 7], [3, 7, 4, 5, 6, 1, 2]], [[5, 3, 7, 1, 2, 4, 6], [2, 3, 4, 1, 5, 6, 7], [3, 5, 1, 6, 4, 7, 2]], [[5, 7, 6, 2, 3, 4, 1], [2, 3, 4, 1, 5, 6, 7], [7, 3, 5, 6, 4, 2, 1]]]$ |
7T7-7_4.1.1.1_5.2-b |
| 8T36-7.1_6.2_3.3.1.1-a |
$8$ |
8T36 |
$[7, 6, 3]$ |
$[[7, 1], [6, 2], [3, 3, 1, 1]]$ |
$1$ |
$8$ |
8.0.21781872.1 |
$[[[7, 8, 3, 5, 6, 1, 2, 4], [6, 5, 1, 7, 3, 8, 4, 2], [1, 4, 5, 6, 7, 2, 3, 8]], [[6, 1, 2, 4, 7, 8, 3, 5], [2, 1, 5, 3, 7, 4, 8, 6], [1, 4, 5, 6, 7, 2, 3, 8]], [[2, 7, 1, 3, 5, 8, 6, 4], [3, 8, 5, 7, 2, 1, 4, 6], [1, 6, 7, 2, 3, 4, 5, 8]], [[5, 1, 3, 2, 8, 4, 6, 7], [2, 6, 1, 7, 8, 4, 3, 5], [1, 6, 7, 2, 3, 4, 5, 8]], [[2, 7, 1, 3, 5, 8, 6, 4], [3, 7, 2, 1, 4, 8, 5, 6], [1, 4, 5, 6, 7, 2, 3, 8]], [[3, 7, 5, 4, 6, 2, 8, 1], [8, 5, 2, 6, 1, 4, 3, 7], [1, 4, 5, 6, 7, 2, 3, 8]], [[7, 1, 6, 3, 4, 2, 5, 8], [8, 5, 4, 7, 6, 3, 2, 1], [7, 5, 3, 2, 4, 6, 8, 1]], [[8, 6, 1, 4, 3, 5, 2, 7], [8, 5, 4, 7, 6, 3, 2, 1], [6, 4, 2, 3, 5, 7, 1, 8]]]$ |
8T36-7.1_6.2_3.3.1.1-a |
| 8T45-6.2_6.2_4.2.1.1-a |
$8$ |
8T45 |
$[6, 6, 4]$ |
$[[6, 2], [6, 2], [4, 2, 1, 1]]$ |
$1$ |
$8$ |
8.0.191102976.7 |
$[[[6, 7, 5, 8, 1, 2, 3, 4], [4, 5, 6, 1, 3, 8, 2, 7], [2, 3, 8, 6, 5, 4, 7, 1]], [[6, 7, 5, 8, 1, 2, 3, 4], [5, 4, 7, 2, 8, 3, 1, 6], [1, 8, 3, 5, 6, 7, 4, 2]], [[6, 7, 5, 8, 1, 2, 3, 4], [5, 7, 6, 3, 1, 2, 8, 4], [1, 3, 2, 7, 4, 5, 6, 8]], [[6, 7, 5, 8, 1, 2, 3, 4], [4, 7, 5, 8, 3, 2, 1, 6], [3, 8, 2, 4, 5, 7, 6, 1]], [[6, 7, 5, 8, 1, 2, 3, 4], [7, 5, 4, 8, 3, 2, 1, 6], [2, 8, 1, 4, 5, 7, 6, 3]], [[6, 7, 5, 8, 1, 2, 3, 4], [4, 7, 5, 2, 3, 1, 8, 6], [3, 8, 2, 7, 5, 6, 4, 1]], [[6, 7, 5, 8, 1, 2, 3, 4], [6, 4, 5, 1, 3, 8, 2, 7], [3, 1, 8, 6, 5, 4, 7, 2]], [[6, 7, 5, 8, 1, 2, 3, 4], [6, 5, 7, 3, 2, 8, 1, 4], [2, 1, 3, 6, 4, 7, 5, 8]]]$ |
2T1-2_2_1.1-a |
| 8T47-8_6.2_3.2.1.1.1-a |
$8$ |
8T47 |
$[8, 6, 6]$ |
$[[8], [6, 2], [3, 2, 1, 1, 1]]$ |
$1$ |
$8$ |
8.2.1528823808.1 |
$[[[6, 7, 4, 8, 1, 2, 3, 5], [4, 5, 7, 3, 1, 8, 2, 6], [2, 8, 3, 4, 6, 5, 7, 1]], [[7, 5, 4, 8, 3, 1, 2, 6], [4, 6, 5, 3, 8, 2, 1, 7], [2, 8, 3, 4, 6, 5, 7, 1]], [[5, 7, 4, 2, 8, 3, 1, 6], [5, 7, 6, 3, 8, 1, 2, 4], [2, 8, 3, 4, 6, 5, 7, 1]], [[6, 4, 5, 1, 2, 8, 3, 7], [6, 4, 7, 2, 1, 3, 8, 5], [2, 8, 3, 4, 6, 5, 7, 1]], [[4, 6, 7, 8, 3, 1, 2, 5], [4, 6, 5, 1, 2, 8, 3, 7], [2, 8, 3, 4, 6, 5, 7, 1]], [[4, 6, 5, 2, 8, 3, 1, 7], [5, 7, 6, 1, 2, 3, 8, 4], [2, 8, 3, 4, 6, 5, 7, 1]], [[6, 7, 5, 1, 8, 2, 3, 4], [5, 4, 7, 8, 1, 3, 2, 6], [2, 8, 3, 4, 6, 5, 7, 1]], [[7, 5, 6, 3, 1, 2, 8, 4], [7, 5, 4, 8, 3, 2, 1, 6], [2, 8, 3, 4, 6, 5, 7, 1]]]$ |
2T1-2_2_1.1-a |
| 8T48-7.1_3.3.1.1_4.4-a |
$8$ |
8T48 |
$[7, 3, 4]$ |
$[[7, 1], [3, 3, 1, 1], [4, 4]]$ |
$1$ |
$4$ |
\(\Q(\sqrt{2}, \sqrt{-7})\) |
$[[[8, 6, 4, 7, 5, 3, 1, 2], [3, 7, 4, 1, 2, 6, 5, 8], [2, 8, 6, 1, 7, 5, 3, 4]], [[7, 1, 6, 3, 4, 2, 5, 8], [5, 2, 1, 8, 3, 4, 7, 6], [2, 8, 6, 1, 7, 5, 3, 4]], [[8, 1, 7, 3, 5, 4, 2, 6], [6, 2, 3, 1, 8, 4, 5, 7], [2, 8, 6, 1, 7, 5, 3, 4]], [[5, 1, 2, 4, 7, 3, 8, 6], [4, 2, 5, 7, 8, 6, 1, 3], [2, 8, 6, 1, 7, 5, 3, 4]]]$ |
8T48-7.1_3.3.1.1_4.4-a |
| 8T48-7.1_3.3.1.1_4.4-b |
$8$ |
8T48 |
$[7, 3, 4]$ |
$[[7, 1], [3, 3, 1, 1], [4, 4]]$ |
$1$ |
$4$ |
4.0.1372.1 |
$[[[2, 7, 5, 3, 1, 4, 6, 8], [1, 8, 5, 2, 7, 6, 3, 4], [3, 1, 8, 6, 7, 5, 4, 2]], [[7, 5, 2, 1, 6, 4, 3, 8], [3, 8, 4, 1, 5, 6, 2, 7], [3, 1, 8, 6, 7, 5, 4, 2]], [[4, 5, 1, 2, 6, 7, 3, 8], [4, 8, 3, 6, 5, 1, 2, 7], [3, 1, 8, 6, 7, 5, 4, 2]], [[4, 6, 2, 7, 3, 1, 5, 8], [3, 8, 6, 4, 2, 1, 7, 5], [3, 1, 8, 6, 7, 5, 4, 2]]]$ |
8T48-7.1_3.3.1.1_4.4-b |
| 8T48-7.1_4.2.1.1_4.4-a |
$8$ |
8T48 |
$[7, 4, 4]$ |
$[[7, 1], [4, 2, 1, 1], [4, 4]]$ |
$1$ |
$4$ |
4.0.1568.1 |
$[[[8, 7, 5, 4, 6, 1, 3, 2], [4, 6, 2, 1, 5, 7, 3, 8], [2, 8, 6, 1, 7, 5, 3, 4]], [[7, 3, 6, 8, 5, 1, 4, 2], [7, 6, 1, 4, 3, 2, 5, 8], [2, 8, 6, 1, 7, 5, 3, 4]], [[4, 5, 1, 2, 6, 7, 3, 8], [1, 3, 6, 8, 5, 7, 2, 4], [2, 8, 6, 1, 7, 5, 3, 4]], [[4, 1, 2, 6, 5, 8, 3, 7], [1, 2, 8, 6, 4, 7, 5, 3], [2, 8, 6, 1, 7, 5, 3, 4]]]$ |
8T48-7.1_4.2.1.1_4.4-a |
| 8T48-7.1_4.2.1.1_4.4-b |
$8$ |
8T48 |
$[7, 4, 4]$ |
$[[7, 1], [4, 2, 1, 1], [4, 4]]$ |
$1$ |
$4$ |
4.0.2744.1 |
$[[[8, 2, 7, 3, 6, 4, 1, 5], [2, 1, 7, 3, 5, 6, 8, 4], [3, 1, 8, 6, 7, 5, 4, 2]], [[5, 4, 1, 3, 6, 7, 2, 8], [7, 8, 3, 6, 5, 2, 1, 4], [3, 1, 8, 6, 7, 5, 4, 2]], [[2, 4, 6, 3, 1, 7, 5, 8], [1, 8, 5, 6, 3, 2, 7, 4], [3, 1, 8, 6, 7, 5, 4, 2]], [[7, 3, 4, 1, 6, 2, 5, 8], [6, 8, 4, 1, 5, 3, 7, 2], [3, 1, 8, 6, 7, 5, 4, 2]]]$ |
8T48-7.1_4.2.1.1_4.4-b |
| 8T48-7.1_6.2_4.2.1.1-a |
$8$ |
8T48 |
$[7, 6, 4]$ |
$[[7, 1], [6, 2], [4, 2, 1, 1]]$ |
$1$ |
$8$ |
8.0.9913171968.3 |
$[[[8, 7, 3, 6, 2, 5, 1, 4], [8, 7, 6, 2, 3, 4, 5, 1], [2, 7, 5, 1, 3, 6, 4, 8]], [[3, 5, 8, 1, 4, 2, 7, 6], [7, 6, 2, 8, 4, 5, 1, 3], [5, 2, 7, 6, 3, 4, 1, 8]], [[3, 2, 7, 5, 8, 1, 4, 6], [7, 6, 4, 3, 1, 8, 2, 5], [2, 7, 5, 1, 3, 6, 4, 8]], [[3, 6, 8, 4, 2, 7, 1, 5], [4, 7, 8, 6, 1, 2, 5, 3], [2, 7, 5, 1, 3, 6, 4, 8]], [[2, 3, 6, 8, 5, 4, 1, 7], [6, 7, 5, 8, 2, 3, 1, 4], [2, 7, 5, 1, 3, 6, 4, 8]], [[3, 1, 4, 5, 8, 2, 7, 6], [7, 6, 4, 8, 2, 3, 1, 5], [5, 2, 7, 6, 3, 4, 1, 8]], [[7, 2, 8, 3, 1, 4, 6, 5], [6, 5, 8, 1, 4, 7, 2, 3], [2, 7, 5, 1, 3, 6, 4, 8]], [[3, 2, 7, 1, 4, 5, 8, 6], [5, 4, 6, 3, 1, 8, 2, 7], [2, 7, 5, 1, 3, 6, 4, 8]]]$ |
8T48-7.1_6.2_4.2.1.1-a |
| 8T48-7.1_7.1_3.3.1.1-a |
$8$ |
8T48 |
$[7, 7, 3]$ |
$[[7, 1], [7, 1], [3, 3, 1, 1]]$ |
$1$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$[[[3, 4, 7, 1, 2, 5, 6, 8], [8, 1, 6, 2, 5, 4, 3, 7], [6, 5, 2, 4, 3, 8, 7, 1]], [[7, 2, 6, 8, 4, 1, 5, 3], [6, 3, 1, 2, 8, 5, 7, 4], [1, 4, 5, 6, 7, 2, 3, 8]]]$ |
8T48-7.1_7.1_3.3.1.1-a |
| 8T48-7.1_7.1_3.3.1.1-b |
$8$ |
8T48 |
$[7, 7, 3]$ |
$[[7, 1], [7, 1], [3, 3, 1, 1]]$ |
$1$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$[[[3, 4, 7, 1, 2, 5, 6, 8], [8, 4, 1, 7, 2, 6, 3, 5], [2, 8, 3, 5, 6, 4, 7, 1]], [[8, 5, 7, 4, 6, 3, 1, 2], [7, 5, 3, 8, 6, 4, 2, 1], [1, 4, 5, 6, 7, 2, 3, 8]]]$ |
8T48-7.1_7.1_3.3.1.1-b |
| 8T48-7.1_7.1_3.3.1.1-c |
$8$ |
8T48 |
$[7, 7, 3]$ |
$[[7, 1], [7, 1], [3, 3, 1, 1]]$ |
$1$ |
$4$ |
\(\Q(i, \sqrt{7})\) |
$[[[2, 6, 4, 5, 7, 3, 1, 8], [8, 1, 7, 4, 2, 3, 5, 6], [3, 2, 8, 6, 4, 5, 7, 1]], [[2, 6, 4, 5, 7, 3, 1, 8], [7, 1, 2, 6, 5, 3, 8, 4], [1, 2, 4, 6, 8, 3, 5, 7]], [[8, 6, 3, 2, 7, 1, 4, 5], [6, 7, 8, 2, 5, 4, 3, 1], [1, 6, 7, 2, 3, 4, 5, 8]], [[7, 1, 2, 6, 5, 3, 8, 4], [2, 8, 5, 4, 1, 3, 6, 7], [1, 6, 7, 2, 3, 4, 5, 8]]]$ |
8T48-7.1_7.1_3.3.1.1-c |
| 8T49-5.3_3.3.1.1_4.2.1.1-a |
$8$ |
8T49 |
$[15, 3, 4]$ |
$[[5, 3], [3, 3, 1, 1], [4, 2, 1, 1]]$ |
$0$ |
$8$ |
8.2.\(\cdots\).1 |
$[[[3, 1, 7, 5, 6, 4, 8, 2], [6, 2, 8, 1, 5, 4, 3, 7], [2, 3, 4, 1, 6, 5, 7, 8]], [[4, 5, 2, 7, 3, 8, 6, 1], [1, 8, 3, 5, 7, 2, 4, 6], [2, 3, 4, 1, 6, 5, 7, 8]], [[8, 7, 2, 1, 6, 4, 3, 5], [6, 4, 3, 7, 5, 8, 2, 1], [2, 3, 4, 1, 6, 5, 7, 8]], [[6, 4, 2, 3, 1, 7, 8, 5], [2, 5, 3, 4, 1, 8, 6, 7], [2, 3, 4, 1, 6, 5, 7, 8]], [[3, 7, 2, 5, 6, 4, 8, 1], [6, 8, 3, 1, 5, 4, 2, 7], [2, 3, 4, 1, 6, 5, 7, 8]], [[2, 5, 8, 3, 6, 7, 1, 4], [8, 7, 1, 4, 5, 2, 6, 3], [2, 3, 4, 1, 6, 5, 7, 8]], [[4, 5, 8, 6, 7, 3, 2, 1], [7, 6, 3, 2, 1, 4, 5, 8], [8, 1, 2, 5, 4, 6, 7, 3]], [[6, 7, 8, 3, 2, 4, 5, 1], [5, 4, 3, 7, 6, 1, 2, 8], [8, 1, 2, 5, 4, 6, 7, 3]]]$ |
8T49-5.3_3.3.1.1_4.2.1.1-a |
| 8T49-5.3_5.1.1.1_4.2.1.1-a |
$8$ |
8T49 |
$[15, 5, 4]$ |
$[[5, 3], [5, 1, 1, 1], [4, 2, 1, 1]]$ |
$0$ |
$8$ |
8.4.\(\cdots\).1 |
$[[[4, 5, 2, 3, 1, 7, 8, 6], [1, 5, 3, 4, 8, 2, 6, 7], [2, 3, 4, 1, 6, 5, 7, 8]], [[4, 5, 7, 3, 6, 2, 8, 1], [1, 8, 6, 4, 5, 2, 3, 7], [2, 3, 4, 1, 6, 5, 7, 8]], [[4, 7, 5, 3, 6, 1, 8, 2], [1, 6, 8, 4, 5, 3, 2, 7], [2, 3, 4, 1, 6, 5, 7, 8]], [[4, 7, 2, 8, 6, 1, 3, 5], [1, 6, 3, 7, 5, 8, 2, 4], [2, 3, 4, 1, 6, 5, 7, 8]], [[5, 4, 2, 3, 6, 7, 8, 1], [2, 8, 3, 4, 5, 1, 6, 7], [2, 3, 4, 1, 6, 5, 7, 8]], [[7, 4, 2, 3, 6, 1, 8, 5], [2, 6, 3, 4, 5, 8, 1, 7], [2, 3, 4, 1, 6, 5, 7, 8]], [[8, 4, 2, 3, 6, 7, 1, 5], [2, 7, 3, 4, 5, 8, 6, 1], [2, 3, 4, 1, 6, 5, 7, 8]], [[4, 3, 7, 5, 6, 8, 2, 1], [7, 2, 6, 4, 1, 5, 3, 8], [8, 1, 2, 5, 4, 6, 7, 3]]]$ |
8T49-5.3_5.1.1.1_4.2.1.1-a |
| 8T49-5.1.1.1_5.3_4.4-a |
$8$ |
8T49 |
$[5, 15, 4]$ |
$[[5, 1, 1, 1], [5, 3], [4, 4]]$ |
$1$ |
$8$ |
\(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
$[[[2, 3, 4, 5, 1, 6, 7, 8], [2, 6, 4, 5, 3, 7, 8, 1], [4, 8, 1, 5, 3, 2, 6, 7]], [[2, 3, 4, 5, 1, 6, 7, 8], [3, 6, 4, 1, 7, 5, 8, 2], [6, 4, 8, 1, 3, 2, 5, 7]], [[2, 3, 4, 5, 1, 6, 7, 8], [4, 7, 1, 5, 6, 3, 8, 2], [4, 3, 8, 6, 1, 5, 2, 7]], [[2, 3, 4, 5, 1, 6, 7, 8], [7, 5, 6, 2, 3, 4, 8, 1], [2, 8, 4, 5, 6, 3, 1, 7]], [[2, 3, 4, 5, 1, 6, 7, 8], [4, 3, 1, 8, 6, 7, 5, 2], [7, 3, 8, 2, 1, 5, 6, 4]], [[2, 3, 4, 5, 1, 6, 7, 8], [3, 5, 6, 8, 7, 4, 2, 1], [2, 8, 7, 1, 6, 3, 5, 4]], [[2, 3, 4, 5, 1, 6, 7, 8], [3, 4, 5, 6, 7, 2, 8, 1], [3, 8, 6, 1, 2, 4, 5, 7]], [[2, 3, 4, 5, 1, 6, 7, 8], [8, 4, 6, 7, 3, 5, 1, 2], [6, 7, 8, 5, 2, 3, 4, 1]]]$ |
8T49-5.1.1.1_5.3_4.4-a |
| 8T50-5.2.1_3.3.1.1_3.3.2-a |
$8$ |
8T50 |
$[10, 3, 6]$ |
$[[5, 2, 1], [3, 3, 1, 1], [3, 3, 2]]$ |
$0$ |
$8$ |
8.2.\(\cdots\).1 |
$[[[2, 7, 8, 1, 5, 4, 6, 3], [2, 3, 1, 5, 6, 4, 7, 8], [6, 3, 8, 5, 4, 7, 1, 2]], [[4, 8, 1, 7, 3, 6, 5, 2], [2, 3, 1, 5, 6, 4, 7, 8], [2, 8, 4, 3, 7, 5, 6, 1]], [[2, 6, 8, 7, 5, 4, 1, 3], [2, 3, 1, 5, 6, 4, 7, 8], [7, 3, 8, 5, 4, 1, 6, 2]], [[4, 7, 8, 2, 5, 1, 6, 3], [2, 8, 4, 5, 3, 6, 7, 1], [6, 3, 2, 8, 4, 7, 1, 5]], [[3, 7, 4, 2, 6, 5, 1, 8], [2, 8, 4, 5, 3, 6, 7, 1], [7, 3, 8, 5, 6, 4, 1, 2]], [[6, 7, 8, 4, 2, 5, 1, 3], [2, 8, 4, 5, 3, 6, 7, 1], [7, 4, 2, 3, 6, 8, 1, 5]], [[4, 8, 5, 2, 3, 6, 1, 7], [2, 3, 1, 5, 6, 4, 7, 8], [7, 6, 4, 3, 2, 5, 8, 1]], [[8, 6, 4, 7, 5, 2, 1, 3], [2, 3, 1, 5, 6, 4, 7, 8], [7, 5, 8, 2, 4, 1, 6, 3]]]$ |
8T50-5.2.1_3.3.1.1_3.3.2-a |
| 8T50-6.1.1_5.3_3.2.1.1.1-a |
$8$ |
8T50 |
$[6, 15, 6]$ |
$[[6, 1, 1], [5, 3], [3, 2, 1, 1, 1]]$ |
$0$ |
$8$ |
8.2.\(\cdots\).1 |
$[[[8, 5, 3, 4, 6, 7, 1, 2], [3, 7, 8, 2, 4, 5, 6, 1], [2, 3, 1, 5, 4, 6, 7, 8]], [[8, 6, 3, 4, 7, 5, 1, 2], [3, 7, 8, 6, 4, 2, 5, 1], [2, 3, 1, 5, 4, 6, 7, 8]], [[5, 2, 6, 4, 3, 7, 8, 1], [5, 8, 2, 1, 4, 3, 6, 7], [2, 3, 1, 5, 4, 6, 7, 8]], [[5, 7, 3, 4, 6, 2, 8, 1], [3, 8, 6, 1, 4, 5, 2, 7], [2, 3, 1, 5, 4, 6, 7, 8]], [[4, 1, 5, 3, 6, 2, 7, 8], [8, 4, 6, 1, 3, 5, 2, 7], [7, 3, 2, 4, 5, 6, 8, 1]], [[6, 7, 3, 4, 2, 5, 8, 1], [3, 8, 5, 6, 4, 1, 2, 7], [2, 3, 1, 5, 4, 6, 7, 8]], [[4, 2, 3, 6, 8, 7, 5, 1], [3, 8, 2, 7, 1, 4, 6, 5], [2, 3, 1, 5, 4, 6, 7, 8]], [[8, 6, 3, 4, 1, 7, 5, 2], [3, 5, 8, 7, 4, 2, 6, 1], [2, 3, 1, 5, 4, 6, 7, 8]]]$ |
8T50-6.1.1_5.3_3.2.1.1.1-a |
| 8T50-7.1_6.1.1_3.2.1.1.1-a |
$8$ |
8T50 |
$[7, 6, 6]$ |
$[[7, 1], [6, 1, 1], [3, 2, 1, 1, 1]]$ |
$0$ |
$8$ |
8.0.\(\cdots\).1 |
$[[[3, 1, 4, 6, 5, 7, 8, 2], [1, 2, 8, 5, 3, 4, 6, 7], [2, 3, 1, 5, 4, 6, 7, 8]], [[3, 2, 4, 5, 6, 7, 8, 1], [1, 8, 2, 4, 3, 5, 6, 7], [2, 3, 1, 5, 4, 6, 7, 8]], [[3, 1, 6, 4, 7, 5, 8, 2], [1, 2, 8, 6, 4, 3, 5, 7], [2, 3, 1, 5, 4, 6, 7, 8]], [[3, 2, 6, 5, 7, 4, 8, 1], [1, 8, 2, 4, 6, 3, 5, 7], [2, 3, 1, 5, 4, 6, 7, 8]], [[3, 1, 6, 4, 8, 7, 5, 2], [1, 2, 8, 7, 4, 3, 6, 5], [2, 3, 1, 5, 4, 6, 7, 8]], [[3, 7, 2, 4, 1, 8, 6, 5], [1, 5, 3, 8, 4, 7, 2, 6], [2, 3, 1, 5, 4, 6, 7, 8]], [[3, 2, 6, 5, 8, 7, 4, 1], [1, 8, 2, 4, 7, 3, 6, 5], [2, 3, 1, 5, 4, 6, 7, 8]], [[3, 2, 6, 5, 1, 7, 8, 4], [1, 5, 2, 4, 8, 3, 6, 7], [2, 3, 1, 5, 4, 6, 7, 8]]]$ |
8T50-7.1_6.1.1_3.2.1.1.1-a |
| 8T50-8_3.3.1.1_3.3.2-a |
$8$ |
8T50 |
$[8, 3, 6]$ |
$[[8], [3, 3, 1, 1], [3, 3, 2]]$ |
$1$ |
$8$ |
\(\mathbb{Q}[x]/(x^{8} + \cdots)\) |
$[[[4, 6, 8, 5, 3, 1, 2, 7], [2, 3, 1, 5, 6, 4, 7, 8], [5, 7, 4, 3, 6, 1, 8, 2]], [[5, 7, 8, 1, 3, 4, 6, 2], [2, 3, 1, 5, 6, 4, 7, 8], [6, 8, 4, 5, 3, 7, 1, 2]], [[4, 8, 6, 5, 3, 2, 1, 7], [2, 3, 1, 5, 6, 4, 7, 8], [7, 5, 4, 3, 6, 2, 8, 1]], [[5, 6, 8, 7, 3, 4, 1, 2], [2, 3, 1, 5, 6, 4, 7, 8], [7, 8, 4, 5, 3, 1, 6, 2]], [[8, 7, 5, 1, 2, 4, 6, 3], [2, 3, 1, 5, 6, 4, 7, 8], [6, 4, 8, 5, 2, 7, 1, 3]], [[8, 6, 5, 7, 2, 4, 1, 3], [2, 3, 1, 5, 6, 4, 7, 8], [7, 4, 8, 5, 2, 1, 6, 3]], [[7, 6, 8, 1, 2, 3, 5, 4], [2, 3, 1, 5, 6, 4, 7, 8], [6, 4, 5, 8, 7, 1, 3, 2]], [[5, 8, 4, 1, 2, 7, 3, 6], [2, 3, 1, 5, 6, 4, 7, 8], [6, 4, 7, 2, 3, 8, 5, 1]]]$ |
8T50-8_3.3.1.1_3.3.2-a |
| 8T50-8_4.4_3.2.1.1.1-a |
$8$ |
8T50 |
$[8, 4, 6]$ |
$[[8], [4, 4], [3, 2, 1, 1, 1]]$ |
$1$ |
$8$ |
\(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
$[[[2, 4, 6, 3, 7, 5, 8, 1], [4, 8, 1, 6, 2, 3, 5, 7], [2, 3, 1, 5, 4, 6, 7, 8]], [[2, 3, 4, 6, 1, 7, 8, 5], [2, 5, 1, 8, 3, 4, 6, 7], [2, 3, 1, 5, 4, 6, 7, 8]], [[2, 8, 6, 3, 7, 5, 1, 4], [4, 7, 1, 6, 8, 3, 5, 2], [2, 3, 1, 5, 4, 6, 7, 8]], [[7, 8, 5, 3, 6, 1, 2, 4], [4, 6, 7, 3, 8, 5, 1, 2], [2, 3, 1, 5, 4, 6, 7, 8]], [[5, 3, 6, 7, 8, 4, 1, 2], [2, 7, 8, 1, 6, 3, 4, 5], [2, 3, 1, 5, 4, 6, 7, 8]], [[2, 4, 5, 6, 7, 3, 8, 1], [6, 8, 1, 3, 2, 4, 5, 7], [2, 3, 1, 5, 4, 6, 7, 8]], [[4, 3, 7, 2, 8, 5, 6, 1], [2, 8, 4, 6, 1, 7, 3, 5], [2, 3, 1, 5, 4, 6, 7, 8]], [[8, 3, 6, 2, 1, 7, 5, 4], [2, 5, 4, 7, 8, 3, 6, 1], [2, 3, 1, 5, 4, 6, 7, 8]]]$ |
8T50-8_4.4_3.2.1.1.1-a |
| 9T32-6.2.1_6.2.1_2.2.2.2.1-a |
$9$ |
9T32 |
$[6, 6, 2]$ |
$[[6, 2, 1], [6, 2, 1], [2, 2, 2, 2, 1]]$ |
$0$ |
$8$ |
8.0.82301184.1 |
$[[[6, 1, 5, 3, 2, 4, 7, 9, 8], [8, 9, 6, 4, 7, 1, 3, 5, 2], [9, 8, 4, 3, 7, 6, 5, 2, 1]], [[6, 1, 5, 3, 2, 4, 7, 9, 8], [2, 8, 6, 4, 9, 7, 1, 3, 5], [1, 9, 4, 3, 8, 7, 6, 5, 2]], [[6, 1, 5, 3, 2, 4, 7, 9, 8], [4, 8, 2, 1, 7, 6, 3, 9, 5], [3, 9, 1, 6, 7, 4, 5, 8, 2]], [[6, 1, 5, 3, 2, 4, 7, 9, 8], [2, 1, 3, 9, 4, 5, 8, 6, 7], [1, 6, 5, 8, 3, 2, 9, 4, 7]], [[7, 3, 5, 2, 1, 6, 4, 9, 8], [8, 2, 4, 3, 7, 1, 6, 9, 5], [9, 3, 2, 5, 4, 7, 6, 8, 1]], [[5, 7, 1, 8, 4, 3, 2, 6, 9], [9, 6, 7, 1, 5, 2, 8, 4, 3], [9, 3, 2, 5, 4, 7, 6, 8, 1]], [[9, 2, 8, 6, 7, 1, 5, 4, 3], [1, 9, 2, 7, 8, 5, 4, 3, 6], [9, 3, 2, 5, 4, 7, 6, 8, 1]], [[2, 6, 4, 1, 5, 8, 9, 3, 7], [3, 9, 2, 4, 7, 8, 1, 6, 5], [4, 7, 6, 1, 9, 3, 2, 8, 5]]]$ |
9T32-6.2.1_6.2.1_2.2.2.2.1-a |
| 9T32-6.2.1_6.2.1_3.3.1.1.1-a |
$9$ |
9T32 |
$[6, 6, 3]$ |
$[[6, 2, 1], [6, 2, 1], [3, 3, 1, 1, 1]]$ |
$0$ |
$8$ |
8.0.82301184.1 |
$[[[2, 5, 4, 6, 3, 1, 7, 9, 8], [2, 1, 5, 4, 7, 8, 6, 9, 3], [7, 2, 3, 9, 1, 4, 5, 8, 6]], [[2, 5, 4, 6, 3, 1, 7, 9, 8], [6, 9, 5, 4, 3, 2, 1, 7, 8], [1, 7, 3, 5, 6, 4, 8, 2, 9]], [[2, 5, 4, 6, 3, 1, 7, 9, 8], [9, 2, 5, 3, 8, 4, 6, 7, 1], [7, 9, 3, 4, 2, 6, 8, 1, 5]], [[2, 5, 4, 6, 3, 1, 7, 9, 8], [8, 1, 2, 3, 7, 4, 5, 6, 9], [8, 2, 7, 4, 3, 6, 5, 9, 1]], [[6, 1, 5, 3, 2, 4, 7, 9, 8], [9, 2, 4, 6, 3, 7, 8, 5, 1], [2, 8, 3, 4, 5, 9, 6, 1, 7]], [[6, 1, 5, 3, 2, 4, 7, 9, 8], [7, 6, 5, 4, 3, 1, 8, 9, 2], [9, 3, 4, 2, 5, 6, 1, 8, 7]], [[6, 1, 5, 3, 2, 4, 7, 9, 8], [2, 1, 9, 4, 3, 7, 5, 6, 8], [1, 7, 4, 8, 5, 2, 6, 3, 9]], [[6, 1, 5, 3, 2, 4, 7, 9, 8], [9, 5, 7, 6, 4, 1, 3, 8, 2], [9, 2, 5, 4, 7, 6, 3, 1, 8]]]$ |
9T32-6.2.1_6.2.1_3.3.1.1.1-a |
| 9T33-4.2.1.1.1_4.4.1_4.4.1-a |
$9$ |
9T33 |
$[4, 4, 4]$ |
$[[4, 2, 1, 1, 1], [4, 4, 1], [4, 4, 1]]$ |
$0$ |
$8$ |
8.0.\(\cdots\).3 |
$[[[2, 7, 9, 4, 5, 1, 6, 8, 3], [2, 4, 1, 3, 6, 7, 8, 5, 9], [5, 3, 9, 2, 8, 6, 1, 7, 4]], [[7, 2, 5, 4, 3, 8, 6, 1, 9], [2, 3, 9, 5, 6, 7, 4, 8, 1], [8, 1, 4, 7, 2, 6, 9, 5, 3]], [[5, 1, 7, 4, 9, 6, 3, 8, 2], [2, 3, 4, 1, 6, 7, 8, 5, 9], [1, 9, 6, 3, 4, 5, 2, 7, 8]], [[7, 9, 3, 1, 5, 4, 6, 8, 2], [2, 3, 4, 1, 6, 7, 8, 5, 9], [3, 9, 2, 5, 8, 6, 4, 7, 1]], [[9, 2, 5, 4, 3, 1, 6, 8, 7], [2, 4, 1, 3, 6, 7, 8, 5, 9], [5, 1, 8, 2, 4, 6, 9, 7, 3]], [[5, 6, 3, 4, 8, 2, 7, 9, 1], [2, 3, 4, 1, 6, 7, 8, 5, 9], [9, 5, 2, 3, 4, 1, 6, 8, 7]], [[9, 8, 3, 4, 6, 5, 7, 1, 2], [2, 3, 4, 1, 6, 7, 8, 5, 9], [7, 9, 2, 3, 5, 8, 6, 1, 4]], [[9, 7, 3, 4, 6, 5, 1, 8, 2], [2, 3, 4, 1, 6, 7, 8, 5, 9], [6, 9, 2, 3, 5, 8, 1, 7, 4]]]$ |
9T33-4.2.1.1.1_4.4.1_4.4.1-a |
| 9T33-4.3.2_3.3.1.1.1_4.4.1-a |
$9$ |
9T33 |
$[12, 3, 4]$ |
$[[4, 3, 2], [3, 3, 1, 1, 1], [4, 4, 1]]$ |
$0$ |
$8$ |
8.2.\(\cdots\).1 |
$[[[4, 5, 2, 6, 3, 9, 8, 7, 1], [1, 9, 3, 5, 7, 2, 4, 8, 6], [2, 3, 4, 1, 6, 7, 8, 5, 9]], [[4, 5, 2, 9, 3, 7, 6, 1, 8], [1, 8, 3, 5, 9, 2, 7, 6, 4], [2, 3, 4, 1, 6, 7, 8, 5, 9]], [[7, 4, 2, 3, 6, 5, 9, 1, 8], [2, 8, 3, 4, 9, 6, 5, 1, 7], [2, 3, 4, 1, 6, 7, 8, 5, 9]], [[8, 3, 2, 5, 9, 1, 6, 7, 4], [9, 6, 3, 2, 1, 4, 7, 8, 5], [2, 3, 4, 1, 6, 7, 8, 5, 9]], [[4, 8, 9, 7, 2, 1, 6, 5, 3], [3, 6, 5, 4, 1, 8, 7, 2, 9], [2, 3, 9, 5, 6, 7, 4, 8, 1]], [[5, 1, 4, 3, 6, 2, 9, 7, 8], [4, 2, 3, 6, 9, 1, 5, 8, 7], [2, 4, 1, 3, 6, 7, 8, 5, 9]], [[4, 1, 9, 6, 8, 2, 5, 7, 3], [9, 2, 1, 6, 5, 7, 4, 8, 3], [2, 4, 1, 3, 6, 7, 8, 5, 9]], [[4, 6, 9, 2, 8, 1, 5, 7, 3], [9, 6, 1, 4, 5, 7, 2, 8, 3], [2, 4, 1, 3, 6, 7, 8, 5, 9]]]$ |
9T33-4.3.2_3.3.1.1.1_4.4.1-a |
| 9T33-5.2.2_4.4.1_4.2.1.1.1-a |
$9$ |
9T33 |
$[10, 4, 4]$ |
$[[5, 2, 2], [4, 4, 1], [4, 2, 1, 1, 1]]$ |
$0$ |
$8$ |
8.2.\(\cdots\).1 |
$[[[9, 5, 2, 8, 1, 7, 6, 4, 3], [8, 5, 3, 9, 7, 2, 6, 4, 1], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[9, 1, 6, 8, 7, 2, 5, 4, 3], [8, 2, 6, 9, 3, 7, 5, 4, 1], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[8, 6, 4, 3, 7, 1, 5, 9, 2], [4, 6, 3, 9, 2, 7, 5, 1, 8], [2, 4, 1, 3, 6, 5, 7, 8, 9]], [[6, 1, 5, 7, 3, 9, 4, 2, 8], [7, 2, 8, 5, 1, 3, 4, 9, 6], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[8, 1, 6, 7, 2, 3, 4, 9, 5], [6, 2, 7, 5, 3, 9, 4, 1, 8], [2, 4, 1, 3, 6, 5, 7, 8, 9]], [[8, 5, 4, 3, 2, 9, 1, 6, 7], [4, 7, 3, 5, 8, 2, 9, 1, 6], [2, 4, 1, 3, 6, 5, 7, 8, 9]], [[7, 4, 6, 2, 8, 3, 9, 1, 5], [6, 8, 2, 4, 3, 9, 1, 5, 7], [2, 4, 1, 3, 6, 5, 7, 8, 9]], [[8, 9, 7, 5, 6, 1, 3, 4, 2], [7, 6, 8, 9, 5, 4, 3, 1, 2], [2, 4, 1, 3, 6, 5, 7, 8, 9]]]$ |
9T33-5.2.2_4.4.1_4.2.1.1.1-a |
| 9T33-6.2.1_5.2.2_3.3.1.1.1-a |
$9$ |
9T33 |
$[6, 10, 3]$ |
$[[6, 2, 1], [5, 2, 2], [3, 3, 1, 1, 1]]$ |
$0$ |
$8$ |
8.2.\(\cdots\).11 |
$[[[9, 4, 6, 2, 5, 7, 8, 1, 3], [9, 8, 4, 3, 2, 5, 6, 7, 1], [2, 3, 1, 5, 6, 4, 7, 8, 9]], [[6, 2, 9, 1, 8, 7, 5, 4, 3], [9, 4, 2, 1, 8, 7, 6, 5, 3], [2, 3, 1, 5, 6, 4, 7, 8, 9]], [[4, 9, 3, 7, 1, 8, 6, 5, 2], [3, 5, 9, 7, 1, 8, 4, 6, 2], [2, 3, 1, 5, 6, 4, 7, 8, 9]], [[4, 9, 3, 7, 8, 2, 6, 5, 1], [3, 9, 6, 7, 1, 8, 4, 5, 2], [2, 3, 1, 5, 6, 4, 7, 8, 9]], [[2, 4, 3, 7, 8, 9, 6, 5, 1], [3, 9, 1, 7, 2, 8, 4, 5, 6], [2, 3, 1, 5, 6, 4, 7, 8, 9]], [[2, 6, 3, 1, 7, 8, 5, 9, 4], [3, 4, 1, 2, 9, 7, 5, 6, 8], [2, 3, 1, 5, 6, 4, 7, 8, 9]], [[7, 9, 5, 4, 6, 8, 3, 1, 2], [7, 8, 9, 5, 4, 3, 1, 6, 2], [2, 3, 1, 5, 6, 4, 7, 8, 9]], [[6, 2, 4, 3, 8, 7, 5, 9, 1], [4, 9, 2, 1, 3, 7, 6, 5, 8], [2, 3, 1, 5, 6, 4, 7, 8, 9]]]$ |
9T33-6.2.1_5.2.2_3.3.1.1.1-a |
| 9T33-6.2.1_5.3.1_2.2.2.2.1-a |
$9$ |
9T33 |
$[6, 15, 2]$ |
$[[6, 2, 1], [5, 3, 1], [2, 2, 2, 2, 1]]$ |
$0$ |
$8$ |
8.0.\(\cdots\).1 |
$[[[2, 3, 4, 5, 6, 1, 8, 7, 9], [1, 6, 4, 7, 2, 5, 9, 3, 8], [2, 1, 5, 8, 3, 6, 9, 4, 7]], [[2, 3, 4, 5, 6, 1, 8, 7, 9], [1, 6, 2, 5, 7, 3, 9, 4, 8], [2, 1, 3, 6, 8, 4, 9, 5, 7]], [[2, 3, 4, 5, 6, 1, 8, 7, 9], [2, 9, 6, 4, 3, 7, 8, 5, 1], [3, 9, 1, 5, 4, 8, 7, 6, 2]], [[2, 3, 4, 5, 6, 1, 8, 7, 9], [7, 2, 1, 5, 9, 3, 8, 6, 4], [8, 3, 2, 6, 9, 4, 7, 1, 5]], [[2, 3, 4, 5, 6, 1, 8, 7, 9], [8, 1, 7, 4, 3, 9, 6, 2, 5], [7, 2, 8, 5, 4, 9, 1, 3, 6]], [[2, 3, 4, 5, 6, 1, 8, 7, 9], [5, 7, 2, 9, 8, 6, 4, 1, 3], [6, 8, 3, 9, 7, 1, 5, 2, 4]], [[2, 3, 4, 5, 6, 1, 8, 7, 9], [6, 8, 3, 2, 7, 9, 1, 4, 5], [1, 7, 4, 3, 8, 9, 2, 5, 6]], [[2, 3, 4, 5, 6, 1, 8, 7, 9], [9, 2, 1, 8, 4, 7, 3, 5, 6], [9, 3, 2, 7, 5, 8, 4, 6, 1]]]$ |
9T33-6.2.1_5.3.1_2.2.2.2.1-a |
| 9T33-7.1.1_5.3.1_2.2.2.2.1-a |
$9$ |
9T33 |
$[7, 15, 2]$ |
$[[7, 1, 1], [5, 3, 1], [2, 2, 2, 2, 1]]$ |
$0$ |
$8$ |
8.0.\(\cdots\).2 |
$[[[2, 3, 4, 5, 6, 7, 1, 8, 9], [1, 7, 2, 6, 9, 8, 3, 5, 4], [2, 1, 3, 7, 9, 8, 4, 6, 5]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [1, 7, 5, 9, 8, 2, 6, 4, 3], [2, 1, 6, 9, 8, 3, 7, 5, 4]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [7, 2, 1, 5, 9, 3, 8, 6, 4], [1, 3, 2, 6, 9, 4, 8, 7, 5]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [2, 9, 7, 8, 5, 4, 6, 3, 1], [3, 9, 1, 8, 6, 5, 7, 4, 2]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [2, 9, 7, 3, 5, 4, 8, 6, 1], [3, 9, 1, 4, 6, 5, 8, 7, 2]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [2, 9, 7, 4, 3, 8, 6, 5, 1], [3, 9, 1, 5, 4, 8, 7, 6, 2]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [8, 2, 1, 5, 9, 3, 6, 7, 4], [8, 3, 2, 6, 9, 4, 7, 1, 5]], [[2, 3, 4, 5, 6, 7, 1, 8, 9], [2, 9, 7, 4, 3, 5, 8, 6, 1], [3, 9, 1, 5, 4, 6, 8, 7, 2]]]$ |
9T33-7.1.1_5.3.1_2.2.2.2.1-a |
| 9T33-7.1.1_7.1.1_4.2.1.1.1-a |
$9$ |
9T33 |
$[7, 7, 4]$ |
$[[7, 1, 1], [7, 1, 1], [4, 2, 1, 1, 1]]$ |
$0$ |
$8$ |
8.0.\(\cdots\).25 |
$[[[6, 1, 3, 4, 8, 5, 2, 9, 7], [4, 2, 7, 3, 1, 6, 9, 5, 8], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[9, 1, 3, 4, 6, 8, 2, 7, 5], [4, 2, 7, 3, 5, 9, 8, 6, 1], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[9, 1, 3, 4, 8, 5, 6, 2, 7], [4, 2, 8, 3, 7, 6, 9, 5, 1], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[4, 2, 3, 8, 1, 5, 6, 9, 7], [1, 5, 2, 3, 7, 6, 9, 4, 8], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[4, 1, 3, 7, 5, 8, 6, 9, 2], [1, 2, 9, 3, 7, 5, 4, 6, 8], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[4, 1, 3, 5, 8, 6, 2, 9, 7], [1, 2, 7, 3, 6, 4, 9, 5, 8], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[9, 1, 2, 4, 5, 8, 6, 3, 7], [4, 2, 3, 8, 7, 5, 9, 6, 1], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[8, 1, 3, 2, 5, 4, 6, 9, 7], [3, 2, 6, 4, 7, 5, 9, 1, 8], [2, 4, 1, 3, 6, 5, 7, 8, 9]]]$ |
9T33-7.1.1_7.1.1_4.2.1.1.1-a |
| 9T33-9_3.3.1.1.1_4.2.1.1.1-a |
$9$ |
9T33 |
$[9, 3, 4]$ |
$[[9], [3, 3, 1, 1, 1], [4, 2, 1, 1, 1]]$ |
$0$ |
$8$ |
8.0.\(\cdots\).1 |
$[[[4, 8, 7, 3, 6, 2, 5, 9, 1], [1, 9, 6, 4, 5, 7, 3, 2, 8], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[4, 1, 6, 9, 8, 5, 3, 2, 7], [1, 2, 8, 7, 3, 6, 9, 5, 4], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[4, 8, 6, 3, 9, 5, 1, 7, 2], [1, 7, 9, 4, 3, 6, 8, 2, 5], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[6, 1, 7, 3, 8, 5, 9, 4, 2], [8, 2, 9, 4, 1, 6, 3, 5, 7], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[4, 8, 2, 9, 3, 5, 1, 7, 6], [1, 7, 3, 5, 9, 6, 8, 2, 4], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[4, 8, 7, 3, 1, 5, 9, 6, 2], [1, 5, 9, 4, 8, 6, 3, 2, 7], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[4, 1, 6, 3, 8, 7, 9, 2, 5], [1, 2, 8, 4, 3, 9, 6, 5, 7], [2, 3, 4, 1, 6, 5, 7, 8, 9]], [[4, 1, 2, 9, 3, 7, 8, 5, 6], [1, 2, 3, 5, 9, 8, 6, 7, 4], [2, 3, 4, 1, 6, 5, 7, 8, 9]]]$ |
9T33-9_3.3.1.1.1_4.2.1.1.1-a |
