| Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
| 8.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1 |
$8$ |
$0$ |
$C_2$ |
$2$ |
$15$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2),\ldots$ |
| 8.4-1.0.2-2-2-2-2-2-2-2-4-4.1 |
$8$ |
$0$ |
$C_4$ |
$4$ |
$7$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
| 8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.1 |
$8$ |
$0$ |
$C_2^2$ |
$4$ |
$8$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
| 8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.11 |
$8$ |
$0$ |
$C_2^2$ |
$4$ |
$8$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
| 8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.15 |
$8$ |
$0$ |
$C_2^2$ |
$4$ |
$8$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
| 8.6-2.0.2-2-2-2-2-2-3-3.1 |
$8$ |
$0$ |
$C_6$ |
$6$ |
$5$ |
$[ 0; 2, 2, 2, 2, 2, 2, 3, 3 ]$ |
✓ |
|
$(1,4)(2,5)(3,6),\ldots$ |
| 8.8-1.0.2-2-2-2-8-8.1 |
$8$ |
$0$ |
$C_8$ |
$8$ |
$3$ |
$[ 0; 2, 2, 2, 2, 8, 8 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
| 8.8-4.0.2-2-2-4-4-4.1 |
$8$ |
$0$ |
$Q_8$ |
$8$ |
$3$ |
$[ 0; 2, 2, 2, 4, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
| 8.8-1.0.2-2-2-2-8-8.2 |
$8$ |
$0$ |
$C_8$ |
$8$ |
$3$ |
$[ 0; 2, 2, 2, 2, 8, 8 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
| 8.8-3.0.2-2-2-2-2-2-4.1 |
$8$ |
$0$ |
$D_4$ |
$8$ |
$4$ |
$[ 0; 2, 2, 2, 2, 2, 2, 4 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
| 8.12-5.0.2-2-2-6-6.14 |
$8$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$2$ |
$[ 0; 2, 2, 2, 6, 6 ]$ |
✓ |
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
| 8.12-5.0.2-2-2-6-6.2 |
$8$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$2$ |
$[ 0; 2, 2, 2, 6, 6 ]$ |
✓ |
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
| 8.12-5.0.2-2-2-6-6.1 |
$8$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$2$ |
$[ 0; 2, 2, 2, 6, 6 ]$ |
✓ |
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
| 8.12-1.0.2-2-3-4-4.1 |
$8$ |
$0$ |
$C_3:C_4$ |
$12$ |
$2$ |
$[ 0; 2, 2, 3, 4, 4 ]$ |
✓ |
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
| 8.12-5.0.2-2-2-6-6.21 |
$8$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$2$ |
$[ 0; 2, 2, 2, 6, 6 ]$ |
✓ |
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
| 8.12-5.0.2-2-2-6-6.20 |
$8$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$2$ |
$[ 0; 2, 2, 2, 6, 6 ]$ |
✓ |
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
| 8.12-5.0.2-2-2-6-6.15 |
$8$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$2$ |
$[ 0; 2, 2, 2, 6, 6 ]$ |
✓ |
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
| 8.12-4.0.2-2-2-2-2-3.1 |
$8$ |
$0$ |
$D_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 2, 2, 2, 3 ]$ |
✓ |
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
| 8.16-9.0.2-4-4-8.2 |
$8$ |
$0$ |
$Q_{16}$ |
$16$ |
$1$ |
$[ 0; 2, 4, 4, 8 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$ |
| 8.16-9.0.2-4-4-8.1 |
$8$ |
$0$ |
$Q_{16}$ |
$16$ |
$1$ |
$[ 0; 2, 4, 4, 8 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$ |
| 8.16-7.0.2-2-2-2-8.1 |
$8$ |
$0$ |
$D_8$ |
$16$ |
$2$ |
$[ 0; 2, 2, 2, 2, 8 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$ |
| 8.16-7.0.2-2-2-2-8.2 |
$8$ |
$0$ |
$D_8$ |
$16$ |
$2$ |
$[ 0; 2, 2, 2, 2, 8 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$ |
| 8.24-8.0.2-2-4-6.1 |
$8$ |
$0$ |
$C_3:D_4$ |
$24$ |
$1$ |
$[ 0; 2, 2, 4, 6 ]$ |
✓ |
|
$(1,4)\cdots(21,24),\ldots$ |
| 8.24-3.0.2-3-3-4.1 |
$8$ |
$0$ |
$\SL(2,3)$ |
$24$ |
$1$ |
$[ 0; 2, 3, 3, 4 ]$ |
✓ |
|
$(1,2)\cdots(23,24),\ldots$ |
| 8.24-8.0.2-2-4-6.2 |
$8$ |
$0$ |
$C_3:D_4$ |
$24$ |
$1$ |
$[ 0; 2, 2, 4, 6 ]$ |
✓ |
|
$(1,4)\cdots(21,24),\ldots$ |
| 8.32-18.0.2-2-2-16.1 |
$8$ |
$0$ |
$D_{16}$ |
$32$ |
$1$ |
$[ 0; 2, 2, 2, 16 ]$ |
✓ |
|
$(1,2)\cdots(31,32),\ldots$ |
| 8.32-18.0.2-2-2-16.2 |
$8$ |
$0$ |
$D_{16}$ |
$32$ |
$1$ |
$[ 0; 2, 2, 2, 16 ]$ |
✓ |
|
$(1,2)\cdots(31,32),\ldots$ |
| 8.32-18.0.2-2-2-16.3 |
$8$ |
$0$ |
$D_{16}$ |
$32$ |
$1$ |
$[ 0; 2, 2, 2, 16 ]$ |
✓ |
|
$(1,2)\cdots(31,32),\ldots$ |
| 8.32-18.0.2-2-2-16.4 |
$8$ |
$0$ |
$D_{16}$ |
$32$ |
$1$ |
$[ 0; 2, 2, 2, 16 ]$ |
✓ |
|
$(1,2)\cdots(31,32),\ldots$ |
| 8.34-2.0.2-17-34.12 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.13 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.14 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.15 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.16 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.11 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.2 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.3 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.4 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.5 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.6 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.7 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.8 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.9 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.10 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.34-2.0.2-17-34.1 |
$8$ |
$0$ |
$C_{34}$ |
$34$ |
$0$ |
$[ 0; 2, 17, 34 ]$ |
✓ |
|
$(1,18)\cdots(17,34),\ldots$ |
| 8.36-4.0.2-2-2-9.3 |
$8$ |
$0$ |
$D_{18}$ |
$36$ |
$1$ |
$[ 0; 2, 2, 2, 9 ]$ |
✓ |
|
$(1,10)\cdots(27,36),\ldots$ |
| 8.36-4.0.2-2-2-9.1 |
$8$ |
$0$ |
$D_{18}$ |
$36$ |
$1$ |
$[ 0; 2, 2, 2, 9 ]$ |
✓ |
|
$(1,10)\cdots(27,36),\ldots$ |
| 8.36-4.0.2-2-2-9.2 |
$8$ |
$0$ |
$D_{18}$ |
$36$ |
$1$ |
$[ 0; 2, 2, 2, 9 ]$ |
✓ |
|
$(1,10)\cdots(27,36),\ldots$ |
| 8.48-28.0.3-4-8.2 |
$8$ |
$0$ |
$C_2.S_4$ |
$48$ |
$0$ |
$[ 0; 3, 4, 8 ]$ |
✓ |
|
$(1,9,17)\cdots(32,37,44),\ldots$ |
| 8.48-28.0.3-4-8.1 |
$8$ |
$0$ |
$C_2.S_4$ |
$48$ |
$0$ |
$[ 0; 3, 4, 8 ]$ |
✓ |
|
$(1,9,17)\cdots(32,37,44),\ldots$ |
