| Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
| 4.18-3.0.3-6-6.2 |
$4$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,5,9)(2,6,7)(3,4,8)(10,14,18)(11,15,16)(12,13,17),\ldots$ |
| 4.18-3.0.3-6-6.3 |
$4$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,9,5)(2,7,6)(3,8,4)(10,18,14)(11,16,15)(12,17,13),\ldots$ |
| 4.18-3.0.3-6-6.1 |
$4$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$ |
| 4.18-3.0.2-2-3-3.1 |
$4$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$1$ |
$[ 0; 2, 2, 3, 3 ]$ |
|
✓ |
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
| 4.18-3.0.2-2-3-3.2 |
$4$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$1$ |
$[ 0; 2, 2, 3, 3 ]$ |
|
✓ |
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
| 4.18-3.0.2-2-3-3.3 |
$4$ |
$0$ |
$C_3\times S_3$ |
$18$ |
$1$ |
$[ 0; 2, 2, 3, 3 ]$ |
|
|
$(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$ |
