Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
2.4-1.0.2-2-4-4.1 |
$2$ |
$0$ |
$C_4$ |
$4$ |
$1$ |
$[ 0; 2, 2, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
3.4-1.0.4-4-4-4.2 |
$3$ |
$0$ |
$C_4$ |
$4$ |
$1$ |
$[ 0; 4, 4, 4, 4 ]$ |
|
|
$(1,3,2,4),\ldots$ |
3.4-1.0.4-4-4-4.3 |
$3$ |
$0$ |
$C_4$ |
$4$ |
$1$ |
$[ 0; 4, 4, 4, 4 ]$ |
|
|
$(1,4,2,3),\ldots$ |
3.4-1.0.4-4-4-4.1 |
$3$ |
$0$ |
$C_4$ |
$4$ |
$1$ |
$[ 0; 4, 4, 4, 4 ]$ |
|
|
$(1,3,2,4),\ldots$ |
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 |
$3$ |
$0$ |
$C_4$ |
$4$ |
$2$ |
$[ 0; 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
3.4-1.1.2-2.1 |
$3$ |
$1$ |
$C_4$ |
$4$ |
$2$ |
$[ 1; 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
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 |
$4$ |
$0$ |
$C_4$ |
$4$ |
$2$ |
$[ 0; 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
4.4-1.0.2-2-2-2-4-4.1 |
$4$ |
$0$ |
$C_4$ |
$4$ |
$3$ |
$[ 0; 2, 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
4.4-1.1.4-4.1 |
$4$ |
$1$ |
$C_4$ |
$4$ |
$2$ |
$[ 1; 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
5.4-1.0.2-2-4-4-4-4.3 |
$5$ |
$0$ |
$C_4$ |
$4$ |
$3$ |
$[ 0; 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
5.4-1.0.2-2-4-4-4-4.1 |
$5$ |
$0$ |
$C_4$ |
$4$ |
$3$ |
$[ 0; 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
5.4-1.0.2-2-4-4-4-4.2 |
$5$ |
$0$ |
$C_4$ |
$4$ |
$3$ |
$[ 0; 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
5.4-1.0.2-2-2-2-2-4-4.1 |
$5$ |
$0$ |
$C_4$ |
$4$ |
$4$ |
$[ 0; 2, 2, 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
5.4-1.0.2-2-2-2-2-4-4.2 |
$5$ |
$0$ |
$C_4$ |
$4$ |
$4$ |
$[ 0; 2, 2, 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
6.4-1.0.4-4-4-4-4-4.1 |
$6$ |
$0$ |
$C_4$ |
$4$ |
$3$ |
$[ 0; 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,3,2,4),\ldots$ |
6.4-1.0.4-4-4-4-4-4.2 |
$6$ |
$0$ |
$C_4$ |
$4$ |
$3$ |
$[ 0; 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,3,2,4),\ldots$ |
6.4-1.0.4-4-4-4-4-4.3 |
$6$ |
$0$ |
$C_4$ |
$4$ |
$3$ |
$[ 0; 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,3,2,4),\ldots$ |
6.4-1.0.2-2-2-4-4-4-4.2 |
$6$ |
$0$ |
$C_4$ |
$4$ |
$4$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
6.4-1.0.2-2-2-4-4-4-4.1 |
$6$ |
$0$ |
$C_4$ |
$4$ |
$4$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
6.4-1.0.2-2-2-2-2-2-4-4.1 |
$6$ |
$0$ |
$C_4$ |
$4$ |
$5$ |
$[ 0; 2, 2, 2, 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
7.4-1.0.2-4-4-4-4-4-4.4 |
$7$ |
$0$ |
$C_4$ |
$4$ |
$4$ |
$[ 0; 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
7.4-1.0.2-4-4-4-4-4-4.3 |
$7$ |
$0$ |
$C_4$ |
$4$ |
$4$ |
$[ 0; 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
7.4-1.0.2-4-4-4-4-4-4.2 |
$7$ |
$0$ |
$C_4$ |
$4$ |
$4$ |
$[ 0; 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
7.4-1.0.2-4-4-4-4-4-4.1 |
$7$ |
$0$ |
$C_4$ |
$4$ |
$4$ |
$[ 0; 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
7.4-1.0.2-2-2-2-4-4-4-4.1 |
$7$ |
$0$ |
$C_4$ |
$4$ |
$5$ |
$[ 0; 2, 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
7.4-1.0.2-2-2-2-4-4-4-4.2 |
$7$ |
$0$ |
$C_4$ |
$4$ |
$5$ |
$[ 0; 2, 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
7.4-1.0.2-2-2-2-4-4-4-4.3 |
$7$ |
$0$ |
$C_4$ |
$4$ |
$5$ |
$[ 0; 2, 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
7.4-1.0.2-2-2-2-2-2-2-4-4.2 |
$7$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
7.4-1.0.2-2-2-2-2-2-2-4-4.1 |
$7$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
8.4-1.0.2-2-4-4-4-4-4-4.3 |
$8$ |
$0$ |
$C_4$ |
$4$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
8.4-1.0.2-2-4-4-4-4-4-4.1 |
$8$ |
$0$ |
$C_4$ |
$4$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
8.4-1.0.2-2-4-4-4-4-4-4.2 |
$8$ |
$0$ |
$C_4$ |
$4$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
8.4-1.0.2-2-2-2-2-4-4-4-4.1 |
$8$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
8.4-1.0.2-2-2-2-2-4-4-4-4.2 |
$8$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
8.4-1.0.2-2-2-2-2-2-2-2-4-4.1 |
$8$ |
$0$ |
$C_4$ |
$4$ |
$7$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
9.4-1.0.4-4-4-4-4-4-4-4.5 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$5$ |
$[ 0; 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,4,2,3),\ldots$ |
9.4-1.0.4-4-4-4-4-4-4-4.4 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$5$ |
$[ 0; 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,3,2,4),\ldots$ |
9.4-1.0.4-4-4-4-4-4-4-4.3 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$5$ |
$[ 0; 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,3,2,4),\ldots$ |
9.4-1.0.4-4-4-4-4-4-4-4.2 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$5$ |
$[ 0; 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,3,2,4),\ldots$ |
9.4-1.0.4-4-4-4-4-4-4-4.1 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$5$ |
$[ 0; 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,3,2,4),\ldots$ |
9.4-1.0.2-2-2-4-4-4-4-4-4.2 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
9.4-1.0.2-2-2-4-4-4-4-4-4.1 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
9.4-1.0.2-2-2-4-4-4-4-4-4.3 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
9.4-1.0.2-2-2-4-4-4-4-4-4.4 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
9.4-1.0.2-2-2-2-2-2-4-4-4-4.1 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$7$ |
$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
9.4-1.0.2-2-2-2-2-2-4-4-4-4.3 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$7$ |
$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
9.4-1.0.2-2-2-2-2-2-4-4-4-4.2 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$7$ |
$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
9.4-1.0.2-2-2-2-2-2-2-2-2-4-4.1 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$8$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |