Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
5.8-2.0.4-4-4-4.2 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$1$ |
$[ 0; 4, 4, 4, 4 ]$ |
|
|
$(1,5,2,6)(3,7,4,8),\ldots$ |
5.8-2.0.4-4-4-4.3 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$1$ |
$[ 0; 4, 4, 4, 4 ]$ |
|
|
$(1,5,2,6)(3,7,4,8),\ldots$ |
5.8-2.0.4-4-4-4.1 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$1$ |
$[ 0; 4, 4, 4, 4 ]$ |
|
|
$(1,5,2,6)(3,7,4,8),\ldots$ |
5.8-2.0.4-4-4-4.4 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$1$ |
$[ 0; 4, 4, 4, 4 ]$ |
|
|
$(1,6,2,5)(3,8,4,7),\ldots$ |
5.8-2.0.4-4-4-4.5 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$1$ |
$[ 0; 4, 4, 4, 4 ]$ |
|
|
$(1,6,2,5)(3,8,4,7),\ldots$ |
5.8-2.0.2-2-2-4-4.8 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.9 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.10 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.12 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.14 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.15 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
5.8-2.0.2-2-2-4-4.16 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
5.8-2.0.2-2-2-4-4.17 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
5.8-2.0.2-2-2-4-4.18 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
5.8-2.0.2-2-2-4-4.19 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
5.8-2.0.2-2-2-4-4.20 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
5.8-2.0.2-2-2-4-4.21 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,4)(2,3)(5,8)(6,7),\ldots$ |
5.8-2.0.2-2-2-4-4.22 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,4)(2,3)(5,8)(6,7),\ldots$ |
5.8-2.0.2-2-2-4-4.1 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.4 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.11 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.2 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.13 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.3 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.5 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.6 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
5.8-2.0.2-2-2-4-4.7 |
$5$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |