Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
13.18-3.0.6-6-6-6.1 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$1$ |
$[ 0; 6, 6, 6, 6 ]$ |
|
|
$(1,13,7,10,4,16)(2,15,8,12,5,18)(3,14,9,11,6,17),\ldots$ |
13.18-3.0.2-3-3-3-6.2 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
✓ |
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.3 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.4 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.5 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.6 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.7 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.8 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.9 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.10 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
✓ |
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.11 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.12 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.13 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.14 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.15 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.1 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.17 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.18 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.19 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.20 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-2-3-6-6.2 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 2, 3, 6, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-2-3-6-6.3 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 2, 3, 6, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-2-3-6-6.4 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 2, 3, 6, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-2-3-6-6.1 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 2, 3, 6, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-2-3-6-6.5 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 2, 3, 6, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-3-3-3-6.16 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$2$ |
$[ 0; 2, 3, 3, 3, 6 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-2-2-2-3-3.2 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-2-2-2-3-3.3 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-2-2-2-3-3.4 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
13.18-3.0.2-2-2-2-3-3.1 |
$13$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |