| Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
| 12.6-1.0.2-2-3-3-3-3-3-3-3.1 |
$12$ |
$0$ |
$S_3$ |
$6$ |
$6$ |
$[ 0; 2, 2, 3, 3, 3, 3, 3, 3, 3 ]$ |
|
✓ |
$(1,4)(2,6)(3,5),\ldots$ |
| 12.12-4.0.2-2-3-3-3-6.1 |
$12$ |
$0$ |
$D_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 3, 3, 3, 6 ]$ |
|
✓ |
$(1,7)(2,9)(3,8)(4,10)(5,12)(6,11),\ldots$ |
| 12.18-1.0.2-2-3-3-9.1 |
$12$ |
$0$ |
$D_9$ |
$18$ |
$2$ |
$[ 0; 2, 2, 3, 3, 9 ]$ |
|
✓ |
$(1,10)(2,12)(3,11)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13),\ldots$ |
| 12.18-1.0.2-2-3-3-9.2 |
$12$ |
$0$ |
$D_9$ |
$18$ |
$2$ |
$[ 0; 2, 2, 3, 3, 9 ]$ |
|
✓ |
$(1,10)(2,12)(3,11)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13),\ldots$ |
| 12.18-1.0.2-2-3-3-9.3 |
$12$ |
$0$ |
$D_9$ |
$18$ |
$2$ |
$[ 0; 2, 2, 3, 3, 9 ]$ |
|
✓ |
$(1,10)(2,12)(3,11)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13),\ldots$ |
| 12.36-4.0.2-2-3-18.2 |
$12$ |
$0$ |
$D_{18}$ |
$36$ |
$1$ |
$[ 0; 2, 2, 3, 18 ]$ |
|
✓ |
$(1,19)\cdots(18,33),\ldots$ |
| 12.36-4.0.2-2-3-18.3 |
$12$ |
$0$ |
$D_{18}$ |
$36$ |
$1$ |
$[ 0; 2, 2, 3, 18 ]$ |
|
✓ |
$(1,19)\cdots(18,33),\ldots$ |
| 12.36-4.0.2-2-3-18.1 |
$12$ |
$0$ |
$D_{18}$ |
$36$ |
$1$ |
$[ 0; 2, 2, 3, 18 ]$ |
|
✓ |
$(1,19)\cdots(18,33),\ldots$ |
| 12.42-5.0.2-2-3-7.2 |
$12$ |
$0$ |
$D_{21}$ |
$42$ |
$1$ |
$[ 0; 2, 2, 3, 7 ]$ |
|
✓ |
$(1,22)\cdots(21,30),\ldots$ |
| 12.42-5.0.2-2-3-7.3 |
$12$ |
$0$ |
$D_{21}$ |
$42$ |
$1$ |
$[ 0; 2, 2, 3, 7 ]$ |
|
✓ |
$(1,22)\cdots(21,30),\ldots$ |
| 12.42-5.0.2-2-3-7.1 |
$12$ |
$0$ |
$D_{21}$ |
$42$ |
$1$ |
$[ 0; 2, 2, 3, 7 ]$ |
|
✓ |
$(1,22)\cdots(21,30),\ldots$ |
| 12.84-8.0.2-6-14.1 |
$12$ |
$0$ |
$S_3\times D_7$ |
$84$ |
$0$ |
$[ 0; 2, 6, 14 ]$ |
|
✓ |
$(1,64)\cdots(42,51),\ldots$ |
| 12.84-8.0.2-6-14.2 |
$12$ |
$0$ |
$S_3\times D_7$ |
$84$ |
$0$ |
$[ 0; 2, 6, 14 ]$ |
|
✓ |
$(1,64)\cdots(42,51),\ldots$ |
| 12.84-8.0.2-6-14.3 |
$12$ |
$0$ |
$S_3\times D_7$ |
$84$ |
$0$ |
$[ 0; 2, 6, 14 ]$ |
|
✓ |
$(1,64)\cdots(42,51),\ldots$ |
