| Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
| 4.18-2.0.2-9-18.2 |
$4$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 2, 9, 18 ]$ |
✓ |
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
| 4.18-2.0.2-9-18.4 |
$4$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 2, 9, 18 ]$ |
✓ |
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
| 4.18-2.0.2-9-18.6 |
$4$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 2, 9, 18 ]$ |
✓ |
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
| 4.18-2.0.2-9-18.1 |
$4$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 2, 9, 18 ]$ |
✓ |
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
| 4.18-2.0.2-9-18.3 |
$4$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 2, 9, 18 ]$ |
✓ |
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
| 4.18-2.0.2-9-18.5 |
$4$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 2, 9, 18 ]$ |
✓ |
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
