| Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
| 8.18-2.0.9-18-18.2 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 9, 18, 18 ]$ |
|
|
$(1,4,7,2,5,8,3,6,9)(10,13,16,11,14,17,12,15,18),\ldots$ |
| 8.18-2.0.9-18-18.4 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 9, 18, 18 ]$ |
|
|
$(1,7,5,3,9,4,2,8,6)(10,16,14,12,18,13,11,17,15),\ldots$ |
| 8.18-2.0.9-18-18.6 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 9, 18, 18 ]$ |
|
|
$(1,5,9,2,6,7,3,4,8)(10,14,18,11,15,16,12,13,17),\ldots$ |
| 8.18-2.0.9-18-18.8 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 9, 18, 18 ]$ |
|
|
$(1,8,4,3,7,6,2,9,5)(10,17,13,12,16,15,11,18,14),\ldots$ |
| 8.18-2.0.9-18-18.9 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 9, 18, 18 ]$ |
|
|
$(1,6,8,2,4,9,3,5,7)(10,15,17,11,13,18,12,14,16),\ldots$ |
| 8.18-2.0.9-18-18.11 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 9, 18, 18 ]$ |
|
|
$(1,9,6,3,8,5,2,7,4)(10,18,15,12,17,14,11,16,13),\ldots$ |
| 8.18-2.0.9-18-18.1 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 9, 18, 18 ]$ |
|
|
$(1,4,7,2,5,8,3,6,9)(10,13,16,11,14,17,12,15,18),\ldots$ |
| 8.18-2.0.9-18-18.3 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 9, 18, 18 ]$ |
|
|
$(1,7,5,3,9,4,2,8,6)(10,16,14,12,18,13,11,17,15),\ldots$ |
| 8.18-2.0.9-18-18.5 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 9, 18, 18 ]$ |
|
|
$(1,5,9,2,6,7,3,4,8)(10,14,18,11,15,16,12,13,17),\ldots$ |
| 8.18-2.0.9-18-18.7 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 9, 18, 18 ]$ |
|
|
$(1,8,4,3,7,6,2,9,5)(10,17,13,12,16,15,11,18,14),\ldots$ |
| 8.18-2.0.9-18-18.10 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 9, 18, 18 ]$ |
|
|
$(1,6,8,2,4,9,3,5,7)(10,15,17,11,13,18,12,14,16),\ldots$ |
| 8.18-2.0.9-18-18.12 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$0$ |
$[ 0; 9, 18, 18 ]$ |
|
|
$(1,9,6,3,8,5,2,7,4)(10,18,15,12,17,14,11,16,13),\ldots$ |
| 8.18-2.0.2-2-9-9.1 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 2, 9, 9 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
| 8.18-2.0.2-2-9-9.2 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 2, 9, 9 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
| 8.18-2.0.2-2-9-9.3 |
$8$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 2, 9, 9 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
