| Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
| 2.5-1.0.5-5-5.4 |
$2$ |
$0$ |
$C_5$ |
$5$ |
$0$ |
$[ 0; 5, 5, 5 ]$ |
|
|
$(1,4,2,5,3),\ldots$ |
| 2.5-1.0.5-5-5.1 |
$2$ |
$0$ |
$C_5$ |
$5$ |
$0$ |
$[ 0; 5, 5, 5 ]$ |
|
|
$(1,2,3,4,5),\ldots$ |
| 2.5-1.0.5-5-5.2 |
$2$ |
$0$ |
$C_5$ |
$5$ |
$0$ |
$[ 0; 5, 5, 5 ]$ |
|
|
$(1,2,3,4,5),\ldots$ |
| 2.5-1.0.5-5-5.3 |
$2$ |
$0$ |
$C_5$ |
$5$ |
$0$ |
$[ 0; 5, 5, 5 ]$ |
|
|
$(1,3,5,2,4),\ldots$ |
| 2.6-2.0.3-6-6.2 |
$2$ |
$0$ |
$C_6$ |
$6$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,3,2)(4,6,5),\ldots$ |
| 2.6-2.0.3-6-6.1 |
$2$ |
$0$ |
$C_6$ |
$6$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,2,3)(4,5,6),\ldots$ |
| 2.8-4.0.4-4-4.1 |
$2$ |
$0$ |
$Q_8$ |
$8$ |
$0$ |
$[ 0; 4, 4, 4 ]$ |
|
|
$(1,3,2,4)(5,7,6,8),\ldots$ |
| 2.8-1.0.2-8-8.1 |
$2$ |
$0$ |
$C_8$ |
$8$ |
$0$ |
$[ 0; 2, 8, 8 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
| 2.8-1.0.2-8-8.2 |
$2$ |
$0$ |
$C_8$ |
$8$ |
$0$ |
$[ 0; 2, 8, 8 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
| 2.10-2.0.2-5-10.2 |
$2$ |
$0$ |
$C_{10}$ |
$10$ |
$0$ |
$[ 0; 2, 5, 10 ]$ |
✓ |
|
$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$ |
| 2.10-2.0.2-5-10.4 |
$2$ |
$0$ |
$C_{10}$ |
$10$ |
$0$ |
$[ 0; 2, 5, 10 ]$ |
✓ |
|
$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$ |
| 2.10-2.0.2-5-10.3 |
$2$ |
$0$ |
$C_{10}$ |
$10$ |
$0$ |
$[ 0; 2, 5, 10 ]$ |
✓ |
|
$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$ |
| 2.10-2.0.2-5-10.1 |
$2$ |
$0$ |
$C_{10}$ |
$10$ |
$0$ |
$[ 0; 2, 5, 10 ]$ |
✓ |
|
$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$ |
| 2.12-5.0.2-6-6.6 |
$2$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$0$ |
$[ 0; 2, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
| 2.12-1.0.3-4-4.1 |
$2$ |
$0$ |
$C_3:C_4$ |
$12$ |
$0$ |
$[ 0; 3, 4, 4 ]$ |
|
|
$(1,2,3)(4,5,6)(7,8,9)(10,11,12),\ldots$ |
| 2.12-5.0.2-6-6.4 |
$2$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$0$ |
$[ 0; 2, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
| 2.12-5.0.2-6-6.1 |
$2$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$0$ |
$[ 0; 2, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
| 2.12-5.0.2-6-6.5 |
$2$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$0$ |
$[ 0; 2, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
| 2.12-5.0.2-6-6.3 |
$2$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$0$ |
$[ 0; 2, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
| 2.12-5.0.2-6-6.2 |
$2$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$0$ |
$[ 0; 2, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
| 2.16-8.0.2-4-8.2 |
$2$ |
$0$ |
$\SD_{16}$ |
$16$ |
$0$ |
$[ 0; 2, 4, 8 ]$ |
|
|
$(1,5)(2,6)(3,8)(4,7)(9,13)(10,14)(11,16)(12,15),\ldots$ |
| 2.16-8.0.2-4-8.1 |
$2$ |
$0$ |
$\SD_{16}$ |
$16$ |
$0$ |
$[ 0; 2, 4, 8 ]$ |
|
|
$(1,5)(2,6)(3,8)(4,7)(9,13)(10,14)(11,16)(12,15),\ldots$ |
| 2.24-8.0.2-4-6.2 |
$2$ |
$0$ |
$C_3:D_4$ |
$24$ |
$0$ |
$[ 0; 2, 4, 6 ]$ |
✓ |
|
$(1,13)\cdots(12,20),\ldots$ |
| 2.24-3.0.3-3-4.1 |
$2$ |
$0$ |
$\SL(2,3)$ |
$24$ |
$0$ |
$[ 0; 3, 3, 4 ]$ |
|
|
$(1,9,17)\cdots(8,14,20),\ldots$ |
| 2.24-8.0.2-4-6.1 |
$2$ |
$0$ |
$C_3:D_4$ |
$24$ |
$0$ |
$[ 0; 2, 4, 6 ]$ |
✓ |
|
$(1,13)\cdots(12,20),\ldots$ |
| 2.48-29.0.2-3-8.1 |
$2$ |
$0$ |
$\GL(2,3)$ |
$48$ |
$0$ |
$[ 0; 2, 3, 8 ]$ |
✓ |
|
$(1,25)\cdots(24,39),\ldots$ |
| 2.48-29.0.2-3-8.2 |
$2$ |
$0$ |
$\GL(2,3)$ |
$48$ |
$0$ |
$[ 0; 2, 3, 8 ]$ |
✓ |
|
$(1,25)\cdots(24,39),\ldots$ |
| 3.7-1.0.7-7-7.7 |
$3$ |
$0$ |
$C_7$ |
$7$ |
$0$ |
$[ 0; 7, 7, 7 ]$ |
|
|
$(1,5,2,6,3,7,4),\ldots$ |
| 3.7-1.0.7-7-7.6 |
$3$ |
$0$ |
$C_7$ |
$7$ |
$0$ |
$[ 0; 7, 7, 7 ]$ |
|
|
$(1,4,7,3,6,2,5),\ldots$ |
| 3.7-1.0.7-7-7.5 |
$3$ |
$0$ |
$C_7$ |
$7$ |
$0$ |
$[ 0; 7, 7, 7 ]$ |
|
|
$(1,3,5,7,2,4,6),\ldots$ |
| 3.7-1.0.7-7-7.4 |
$3$ |
$0$ |
$C_7$ |
$7$ |
$0$ |
$[ 0; 7, 7, 7 ]$ |
|
|
$(1,3,5,7,2,4,6),\ldots$ |
| 3.7-1.0.7-7-7.3 |
$3$ |
$0$ |
$C_7$ |
$7$ |
$0$ |
$[ 0; 7, 7, 7 ]$ |
|
|
$(1,2,3,4,5,6,7),\ldots$ |
| 3.7-1.0.7-7-7.2 |
$3$ |
$0$ |
$C_7$ |
$7$ |
$0$ |
$[ 0; 7, 7, 7 ]$ |
|
|
$(1,2,3,4,5,6,7),\ldots$ |
| 3.7-1.0.7-7-7.1 |
$3$ |
$0$ |
$C_7$ |
$7$ |
$0$ |
$[ 0; 7, 7, 7 ]$ |
|
|
$(1,2,3,4,5,6,7),\ldots$ |
| 3.7-1.0.7-7-7.8 |
$3$ |
$0$ |
$C_7$ |
$7$ |
$0$ |
$[ 0; 7, 7, 7 ]$ |
|
|
$(1,5,2,6,3,7,4),\ldots$ |
| 3.8-1.0.4-8-8.1 |
$3$ |
$0$ |
$C_8$ |
$8$ |
$0$ |
$[ 0; 4, 8, 8 ]$ |
|
|
$(1,3,2,4)(5,7,6,8),\ldots$ |
| 3.8-1.0.4-8-8.6 |
$3$ |
$0$ |
$C_8$ |
$8$ |
$0$ |
$[ 0; 4, 8, 8 ]$ |
|
|
$(1,4,2,3)(5,8,6,7),\ldots$ |
| 3.8-1.0.4-8-8.2 |
$3$ |
$0$ |
$C_8$ |
$8$ |
$0$ |
$[ 0; 4, 8, 8 ]$ |
|
|
$(1,3,2,4)(5,7,6,8),\ldots$ |
| 3.8-1.0.4-8-8.4 |
$3$ |
$0$ |
$C_8$ |
$8$ |
$0$ |
$[ 0; 4, 8, 8 ]$ |
|
|
$(1,4,2,3)(5,8,6,7),\ldots$ |
| 3.8-1.0.4-8-8.3 |
$3$ |
$0$ |
$C_8$ |
$8$ |
$0$ |
$[ 0; 4, 8, 8 ]$ |
|
|
$(1,3,2,4)(5,7,6,8),\ldots$ |
| 3.8-1.0.4-8-8.5 |
$3$ |
$0$ |
$C_8$ |
$8$ |
$0$ |
$[ 0; 4, 8, 8 ]$ |
|
|
$(1,4,2,3)(5,8,6,7),\ldots$ |
| 3.9-1.0.3-9-9.2 |
$3$ |
$0$ |
$C_9$ |
$9$ |
$0$ |
$[ 0; 3, 9, 9 ]$ |
|
✓ |
$(1,2,3)(4,5,6)(7,8,9),\ldots$ |
| 3.9-1.0.3-9-9.5 |
$3$ |
$0$ |
$C_9$ |
$9$ |
$0$ |
$[ 0; 3, 9, 9 ]$ |
|
✓ |
$(1,3,2)(4,6,5)(7,9,8),\ldots$ |
| 3.9-1.0.3-9-9.1 |
$3$ |
$0$ |
$C_9$ |
$9$ |
$0$ |
$[ 0; 3, 9, 9 ]$ |
|
✓ |
$(1,2,3)(4,5,6)(7,8,9),\ldots$ |
| 3.9-1.0.3-9-9.6 |
$3$ |
$0$ |
$C_9$ |
$9$ |
$0$ |
$[ 0; 3, 9, 9 ]$ |
|
✓ |
$(1,3,2)(4,6,5)(7,9,8),\ldots$ |
| 3.9-1.0.3-9-9.3 |
$3$ |
$0$ |
$C_9$ |
$9$ |
$0$ |
$[ 0; 3, 9, 9 ]$ |
|
✓ |
$(1,2,3)(4,5,6)(7,8,9),\ldots$ |
| 3.9-1.0.3-9-9.4 |
$3$ |
$0$ |
$C_9$ |
$9$ |
$0$ |
$[ 0; 3, 9, 9 ]$ |
|
✓ |
$(1,3,2)(4,6,5)(7,9,8),\ldots$ |
| 3.12-2.0.3-4-12.2 |
$3$ |
$0$ |
$C_{12}$ |
$12$ |
$0$ |
$[ 0; 3, 4, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
| 3.12-2.0.3-4-12.1 |
$3$ |
$0$ |
$C_{12}$ |
$12$ |
$0$ |
$[ 0; 3, 4, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
| 3.12-2.0.3-4-12.3 |
$3$ |
$0$ |
$C_{12}$ |
$12$ |
$0$ |
$[ 0; 3, 4, 12 ]$ |
|
|
$(1,5,3)(2,6,4)(7,11,9)(8,12,10),\ldots$ |
