| Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
| 2.12-4.0.2-2-2-3.1 |
$2$ |
$0$ |
$D_6$ |
$12$ |
$1$ |
$[ 0; 2, 2, 2, 3 ]$ |
✓ |
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
| 3.24-12.0.2-2-2-3.1 |
$3$ |
$0$ |
$S_4$ |
$24$ |
$1$ |
$[ 0; 2, 2, 2, 3 ]$ |
|
|
$(1,2)\cdots(23,24),\ldots$ |
| 4.36-10.0.2-2-2-3.1 |
$4$ |
$0$ |
$S_3^2$ |
$36$ |
$1$ |
$[ 0; 2, 2, 2, 3 ]$ |
|
✓ |
$(1,10)\cdots(27,33),\ldots$ |
| 5.48-48.0.2-2-2-3.1 |
$5$ |
$0$ |
$C_2\times S_4$ |
$48$ |
$1$ |
$[ 0; 2, 2, 2, 3 ]$ |
|
|
$(1,14)\cdots(36,47),\ldots$ |
| 6.60-5.0.2-2-2-3.1 |
$6$ |
$0$ |
$A_5$ |
$60$ |
$1$ |
$[ 0; 2, 2, 2, 3 ]$ |
|
|
$(1,14)\cdots(49,51),\ldots$ |
| 9.96-227.0.2-2-2-3.1 |
$9$ |
$0$ |
$C_2^2:S_4$ |
$96$ |
$1$ |
$[ 0; 2, 2, 2, 3 ]$ |
|
|
$(1,6)\cdots(92,95),\ldots$ |
| 9.96-193.0.2-2-2-3.1 |
$9$ |
$0$ |
$\GL(2,3):C_2$ |
$96$ |
$1$ |
$[ 0; 2, 2, 2, 3 ]$ |
|
|
$(1,27)\cdots(72,93),\ldots$ |
| 10.108-17.0.2-2-2-3.1 |
$10$ |
$0$ |
$C_3^2:D_6$ |
$108$ |
$1$ |
$[ 0; 2, 2, 2, 3 ]$ |
|
|
$(1,28)\cdots(81,98),\ldots$ |
| 10.108-40.0.2-2-2-3.1 |
$10$ |
$0$ |
$C_3:S_3^2$ |
$108$ |
$1$ |
$[ 0; 2, 2, 2, 3 ]$ |
|
|
$(1,28)\cdots(81,96),\ldots$ |
| 10.108-40.0.2-2-2-3.2 |
$10$ |
$0$ |
$C_3:S_3^2$ |
$108$ |
$1$ |
$[ 0; 2, 2, 2, 3 ]$ |
|
|
$(1,28)\cdots(81,96),\ldots$ |
| 11.120-35.0.2-2-2-3.1 |
$11$ |
$0$ |
$C_2\times A_5$ |
$120$ |
$1$ |
$[ 0; 2, 2, 2, 3 ]$ |
|
|
$(1,6)\cdots(117,120),\ldots$ |
| 13.144-183.0.2-2-2-3.1 |
$13$ |
$0$ |
$S_3\times S_4$ |
$144$ |
$1$ |
$[ 0; 2, 2, 2, 3 ]$ |
|
|
$(1,37)\cdots(108,132),\ldots$ |
