| Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
| 7.18-2.0.6-9-18.4 |
$7$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 6, 9, 18 ]$ |
|
|
$(1,11,3,10,2,12)(4,14,6,13,5,15)(7,17,9,16,8,18),\ldots$ |
| 7.18-2.0.6-9-18.5 |
$7$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 6, 9, 18 ]$ |
|
|
$(1,11,3,10,2,12)(4,14,6,13,5,15)(7,17,9,16,8,18),\ldots$ |
| 7.18-2.0.6-9-18.7 |
$7$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 6, 9, 18 ]$ |
|
|
$(1,12,2,10,3,11)(4,15,5,13,6,14)(7,18,8,16,9,17),\ldots$ |
| 7.18-2.0.6-9-18.9 |
$7$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 6, 9, 18 ]$ |
|
|
$(1,12,2,10,3,11)(4,15,5,13,6,14)(7,18,8,16,9,17),\ldots$ |
| 7.18-2.0.6-9-18.10 |
$7$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 6, 9, 18 ]$ |
|
|
$(1,12,2,10,3,11)(4,15,5,13,6,14)(7,18,8,16,9,17),\ldots$ |
| 7.18-2.0.6-9-18.12 |
$7$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 6, 9, 18 ]$ |
|
|
$(1,12,2,10,3,11)(4,15,5,13,6,14)(7,18,8,16,9,17),\ldots$ |
| 7.18-2.0.6-9-18.1 |
$7$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 6, 9, 18 ]$ |
|
|
$(1,11,3,10,2,12)(4,14,6,13,5,15)(7,17,9,16,8,18),\ldots$ |
| 7.18-2.0.6-9-18.2 |
$7$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 6, 9, 18 ]$ |
|
|
$(1,11,3,10,2,12)(4,14,6,13,5,15)(7,17,9,16,8,18),\ldots$ |
| 7.18-2.0.6-9-18.3 |
$7$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 6, 9, 18 ]$ |
|
|
$(1,11,3,10,2,12)(4,14,6,13,5,15)(7,17,9,16,8,18),\ldots$ |
| 7.18-2.0.6-9-18.6 |
$7$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 6, 9, 18 ]$ |
|
|
$(1,11,3,10,2,12)(4,14,6,13,5,15)(7,17,9,16,8,18),\ldots$ |
| 7.18-2.0.6-9-18.8 |
$7$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 6, 9, 18 ]$ |
|
|
$(1,12,2,10,3,11)(4,15,5,13,6,14)(7,18,8,16,9,17),\ldots$ |
| 7.18-2.0.6-9-18.11 |
$7$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 6, 9, 18 ]$ |
|
|
$(1,12,2,10,3,11)(4,15,5,13,6,14)(7,18,8,16,9,17),\ldots$ |
