Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
2.2-1.1.2-2.1 |
$2$ |
$1$ |
$C_2$ |
$2$ |
$2$ |
$[ 1; 2, 2 ]$ |
|
|
$(1,2),\ldots$ |
2.4-2.0.2-2-2-2-2.2 |
$2$ |
$0$ |
$C_2^2$ |
$4$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
2.4-2.0.2-2-2-2-2.3 |
$2$ |
$0$ |
$C_2^2$ |
$4$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
2.4-2.0.2-2-2-2-2.1 |
$2$ |
$0$ |
$C_2^2$ |
$4$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
3.3-1.0.3-3-3-3-3.1 |
$3$ |
$0$ |
$C_3$ |
$3$ |
$2$ |
$[ 0; 3, 3, 3, 3, 3 ]$ |
|
✓ |
$(1,2,3),\ldots$ |
3.3-1.0.3-3-3-3-3.2 |
$3$ |
$0$ |
$C_3$ |
$3$ |
$2$ |
$[ 0; 3, 3, 3, 3, 3 ]$ |
|
✓ |
$(1,2,3),\ldots$ |
3.3-1.1.3-3.1 |
$3$ |
$1$ |
$C_3$ |
$3$ |
$2$ |
$[ 1; 3, 3 ]$ |
|
|
$(1,2,3),\ldots$ |
3.4-1.0.2-2-2-4-4.1 |
$3$ |
$0$ |
$C_4$ |
$4$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
3.4-1.0.2-2-2-4-4.2 |
$3$ |
$0$ |
$C_4$ |
$4$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
3.4-2.1.2-2.3 |
$3$ |
$1$ |
$C_2^2$ |
$4$ |
$2$ |
$[ 1; 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
3.4-2.1.2-2.1 |
$3$ |
$1$ |
$C_2^2$ |
$4$ |
$2$ |
$[ 1; 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
3.4-1.1.2-2.1 |
$3$ |
$1$ |
$C_4$ |
$4$ |
$2$ |
$[ 1; 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
3.4-2.1.2-2.2 |
$3$ |
$1$ |
$C_2^2$ |
$4$ |
$2$ |
$[ 1; 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
3.6-1.0.2-2-2-2-3.1 |
$3$ |
$0$ |
$S_3$ |
$6$ |
$2$ |
$[ 0; 2, 2, 2, 2, 3 ]$ |
|
|
$(1,4)(2,6)(3,5),\ldots$ |
3.8-5.0.2-2-2-2-2.13 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.14 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.15 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.16 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.17 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
3.8-5.0.2-2-2-2-2.18 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
3.8-5.0.2-2-2-2-2.19 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
3.8-5.0.2-2-2-2-2.20 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
3.8-5.0.2-2-2-2-2.21 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
3.8-5.0.2-2-2-2-2.22 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
3.8-5.0.2-2-2-2-2.23 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
3.8-5.0.2-2-2-2-2.24 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,3)(2,4)(5,7)(6,8),\ldots$ |
3.8-5.0.2-2-2-2-2.25 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,4)(2,3)(5,8)(6,7),\ldots$ |
3.8-5.0.2-2-2-2-2.26 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,4)(2,3)(5,8)(6,7),\ldots$ |
3.8-5.0.2-2-2-2-2.27 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,4)(2,3)(5,8)(6,7),\ldots$ |
3.8-5.0.2-2-2-2-2.28 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,4)(2,3)(5,8)(6,7),\ldots$ |
3.8-5.0.2-2-2-2-2.1 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-3.0.2-2-2-2-2.1 |
$3$ |
$0$ |
$D_4$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.2 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.3 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.4 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.5 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.6 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.7 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.8 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.9 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.10 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.11 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
3.8-5.0.2-2-2-2-2.12 |
$3$ |
$0$ |
$C_2^3$ |
$8$ |
$2$ |
$[ 0; 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
4.4-1.0.2-4-4-4-4.2 |
$4$ |
$0$ |
$C_4$ |
$4$ |
$2$ |
$[ 0; 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
4.4-1.0.2-4-4-4-4.1 |
$4$ |
$0$ |
$C_4$ |
$4$ |
$2$ |
$[ 0; 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
4.4-1.1.4-4.1 |
$4$ |
$1$ |
$C_4$ |
$4$ |
$2$ |
$[ 1; 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
4.6-2.0.2-2-3-3-3.1 |
$4$ |
$0$ |
$C_6$ |
$6$ |
$2$ |
$[ 0; 2, 2, 3, 3, 3 ]$ |
|
✓ |
$(1,4)(2,5)(3,6),\ldots$ |
4.6-2.0.2-2-2-3-6.1 |
$4$ |
$0$ |
$C_6$ |
$6$ |
$2$ |
$[ 0; 2, 2, 2, 3, 6 ]$ |
✓ |
|
$(1,4)(2,5)(3,6),\ldots$ |
4.6-1.0.2-2-3-3-3.1 |
$4$ |
$0$ |
$S_3$ |
$6$ |
$2$ |
$[ 0; 2, 2, 3, 3, 3 ]$ |
|
✓ |
$(1,4)(2,6)(3,5),\ldots$ |
4.6-2.0.2-2-3-3-3.2 |
$4$ |
$0$ |
$C_6$ |
$6$ |
$2$ |
$[ 0; 2, 2, 3, 3, 3 ]$ |
|
✓ |
$(1,4)(2,5)(3,6),\ldots$ |