| Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
| 13.18-4.0.2-2-2-2-3-3.1 |
$13$ |
$0$ |
$C_3:S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,16)(5,18)(6,17)(7,13)(8,15)(9,14),\ldots$ |
| 13.18-4.0.2-2-2-2-3-3.2 |
$13$ |
$0$ |
$C_3:S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,16)(5,18)(6,17)(7,13)(8,15)(9,14),\ldots$ |
| 13.18-4.0.2-2-2-2-3-3.3 |
$13$ |
$0$ |
$C_3:S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,16)(5,18)(6,17)(7,13)(8,15)(9,14),\ldots$ |
| 13.18-4.0.2-2-2-2-3-3.4 |
$13$ |
$0$ |
$C_3:S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,16)(5,18)(6,17)(7,13)(8,15)(9,14),\ldots$ |
| 13.18-4.0.2-2-2-2-3-3.5 |
$13$ |
$0$ |
$C_3:S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,16)(5,18)(6,17)(7,13)(8,15)(9,14),\ldots$ |
| 13.18-4.0.2-2-2-2-3-3.6 |
$13$ |
$0$ |
$C_3:S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,16)(5,18)(6,17)(7,13)(8,15)(9,14),\ldots$ |
| 13.18-4.0.2-2-2-2-3-3.7 |
$13$ |
$0$ |
$C_3:S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,16)(5,18)(6,17)(7,13)(8,15)(9,14),\ldots$ |
| 13.18-4.0.2-2-2-2-3-3.8 |
$13$ |
$0$ |
$C_3:S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,16)(5,18)(6,17)(7,13)(8,15)(9,14),\ldots$ |
| 13.18-4.0.2-2-2-2-3-3.9 |
$13$ |
$0$ |
$C_3:S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,16)(5,18)(6,17)(7,13)(8,15)(9,14),\ldots$ |
| 13.18-4.0.2-2-2-2-3-3.10 |
$13$ |
$0$ |
$C_3:S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,16)(5,18)(6,17)(7,13)(8,15)(9,14),\ldots$ |
