| Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
| 12.12-1.0.3-4-4-6-6.1 |
$12$ |
$0$ |
$C_3:C_4$ |
$12$ |
$2$ |
$[ 0; 3, 4, 4, 6, 6 ]$ |
|
|
$(1,2,3)(4,5,6)(7,8,9)(10,11,12),\ldots$ |
| 12.12-1.0.4-4-4-4-6.1 |
$12$ |
$0$ |
$C_3:C_4$ |
$12$ |
$2$ |
$[ 0; 4, 4, 4, 4, 6 ]$ |
|
|
$(1,7,4,10)(2,9,5,12)(3,8,6,11),\ldots$ |
| 12.12-1.0.4-4-4-4-6.2 |
$12$ |
$0$ |
$C_3:C_4$ |
$12$ |
$2$ |
$[ 0; 4, 4, 4, 4, 6 ]$ |
|
|
$(1,7,4,10)(2,9,5,12)(3,8,6,11),\ldots$ |
| 12.12-1.0.2-2-3-3-4-4.1 |
$12$ |
$0$ |
$C_3:C_4$ |
$12$ |
$3$ |
$[ 0; 2, 2, 3, 3, 4, 4 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
| 12.12-1.0.2-2-2-4-4-6.1 |
$12$ |
$0$ |
$C_3:C_4$ |
$12$ |
$3$ |
$[ 0; 2, 2, 2, 4, 4, 6 ]$ |
✓ |
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
