Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.1 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.2 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.3 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.4 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.5 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.6 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.7 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.8 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.9 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.10 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.11 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.12 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.13 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.14 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.15 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.16 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.17 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.18 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.19 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.20 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.21 |
$10$ |
$0$ |
$C_2^2$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
11.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3.1 |
$11$ |
$0$ |
$C_3$ |
$3$ |
$10$ |
$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,2,3),\ldots$ |
11.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3.2 |
$11$ |
$0$ |
$C_3$ |
$3$ |
$10$ |
$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,2,3),\ldots$ |
11.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3.3 |
$11$ |
$0$ |
$C_3$ |
$3$ |
$10$ |
$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,2,3),\ldots$ |
11.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3.4 |
$11$ |
$0$ |
$C_3$ |
$3$ |
$10$ |
$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,2,3),\ldots$ |
11.4-1.0.2-2-2-2-2-2-2-2-2-2-2-4-4.1 |
$11$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
11.4-1.0.2-2-2-2-2-2-2-2-2-2-2-4-4.2 |
$11$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
12.4-1.0.2-2-2-2-2-2-2-2-2-4-4-4-4.1 |
$12$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
12.4-1.0.2-2-2-2-2-2-2-2-2-4-4-4-4.2 |
$12$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
13.4-1.0.2-2-2-2-2-2-2-4-4-4-4-4-4.1 |
$13$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
13.4-1.0.2-2-2-2-2-2-2-4-4-4-4-4-4.2 |
$13$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
13.4-1.0.2-2-2-2-2-2-2-4-4-4-4-4-4.3 |
$13$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
13.4-1.0.2-2-2-2-2-2-2-4-4-4-4-4-4.4 |
$13$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
14.4-1.0.2-2-2-2-2-4-4-4-4-4-4-4-4.3 |
$14$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
14.4-1.0.2-2-2-2-2-4-4-4-4-4-4-4-4.4 |
$14$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
14.4-1.0.2-2-2-2-2-4-4-4-4-4-4-4-4.2 |
$14$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
14.4-1.0.2-2-2-2-2-4-4-4-4-4-4-4-4.1 |
$14$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.4 |
$15$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.5 |
$15$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.6 |
$15$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.1 |
$15$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.2 |
$15$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.3 |
$15$ |
$0$ |
$C_4$ |
$4$ |
$10$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
15.6-1.0.2-2-2-2-2-2-2-2-2-2-2-2-3.1 |
$15$ |
$0$ |
$S_3$ |
$6$ |
$10$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3 ]$ |
|
|
$(1,4)(2,6)(3,5),\ldots$ |