Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
4.2-1.1.2-2-2-2-2-2.1 |
$4$ |
$1$ |
$C_2$ |
$2$ |
$6$ |
$[ 1; 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2),\ldots$ |
6.4-2.0.2-2-2-2-2-2-2-2-2.1 |
$6$ |
$0$ |
$C_2^2$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
6.4-2.0.2-2-2-2-2-2-2-2-2.2 |
$6$ |
$0$ |
$C_2^2$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
6.4-2.0.2-2-2-2-2-2-2-2-2.3 |
$6$ |
$0$ |
$C_2^2$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
6.4-2.0.2-2-2-2-2-2-2-2-2.4 |
$6$ |
$0$ |
$C_2^2$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
6.4-2.0.2-2-2-2-2-2-2-2-2.5 |
$6$ |
$0$ |
$C_2^2$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
6.4-2.0.2-2-2-2-2-2-2-2-2.6 |
$6$ |
$0$ |
$C_2^2$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
6.4-2.0.2-2-2-2-2-2-2-2-2.7 |
$6$ |
$0$ |
$C_2^2$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
6.4-2.0.2-2-2-2-2-2-2-2-2.8 |
$6$ |
$0$ |
$C_2^2$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
6.4-2.0.2-2-2-2-2-2-2-2-2.9 |
$6$ |
$0$ |
$C_2^2$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
6.4-2.0.2-2-2-2-2-2-2-2-2.10 |
$6$ |
$0$ |
$C_2^2$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
7.3-1.0.3-3-3-3-3-3-3-3-3.4 |
$7$ |
$0$ |
$C_3$ |
$3$ |
$6$ |
$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$ |
|
✓ |
$(1,3,2),\ldots$ |
7.3-1.0.3-3-3-3-3-3-3-3-3.1 |
$7$ |
$0$ |
$C_3$ |
$3$ |
$6$ |
$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$ |
|
✓ |
$(1,2,3),\ldots$ |
7.3-1.0.3-3-3-3-3-3-3-3-3.2 |
$7$ |
$0$ |
$C_3$ |
$3$ |
$6$ |
$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$ |
|
✓ |
$(1,2,3),\ldots$ |
7.3-1.0.3-3-3-3-3-3-3-3-3.3 |
$7$ |
$0$ |
$C_3$ |
$3$ |
$6$ |
$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$ |
|
✓ |
$(1,2,3),\ldots$ |
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 |
$7$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ |
✓ |
|
$(1,2)(3,4),\ldots$ |
8.4-1.0.2-2-2-2-2-4-4-4-4.1 |
$8$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
8.4-1.0.2-2-2-2-2-4-4-4-4.2 |
$8$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
9.4-1.0.2-2-2-4-4-4-4-4-4.4 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
9.4-1.0.2-2-2-4-4-4-4-4-4.1 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
9.4-1.0.2-2-2-4-4-4-4-4-4.2 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
9.4-1.0.2-2-2-4-4-4-4-4-4.3 |
$9$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
9.6-1.0.2-2-2-2-2-2-2-2-3.1 |
$9$ |
$0$ |
$S_3$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 3 ]$ |
|
|
$(1,4)(2,6)(3,5),\ldots$ |
10.4-1.0.2-4-4-4-4-4-4-4-4.1 |
$10$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-1.0.2-4-4-4-4-4-4-4-4.4 |
$10$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-1.0.2-4-4-4-4-4-4-4-4.2 |
$10$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.4-1.0.2-4-4-4-4-4-4-4-4.3 |
$10$ |
$0$ |
$C_4$ |
$4$ |
$6$ |
$[ 0; 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4),\ldots$ |
10.6-1.0.2-2-2-2-2-2-3-3-3.1 |
$10$ |
$0$ |
$S_3$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 3, 3, 3 ]$ |
|
|
$(1,4)(2,6)(3,5),\ldots$ |
10.6-2.0.2-2-2-2-2-2-3-3-3.2 |
$10$ |
$0$ |
$C_6$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 3, 3, 3 ]$ |
|
|
$(1,4)(2,5)(3,6),\ldots$ |
10.6-2.0.2-2-2-2-2-2-2-3-6.2 |
$10$ |
$0$ |
$C_6$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 3, 6 ]$ |
✓ |
|
$(1,4)(2,5)(3,6),\ldots$ |
10.6-2.0.2-2-2-2-2-2-3-3-3.1 |
$10$ |
$0$ |
$C_6$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 3, 3, 3 ]$ |
|
|
$(1,4)(2,5)(3,6),\ldots$ |
10.6-2.0.2-2-2-2-2-2-2-3-6.1 |
$10$ |
$0$ |
$C_6$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 3, 6 ]$ |
✓ |
|
$(1,4)(2,5)(3,6),\ldots$ |
11.6-2.0.2-2-2-2-3-3-3-3-3.1 |
$11$ |
$0$ |
$C_6$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,4)(2,5)(3,6),\ldots$ |
11.6-2.0.2-2-2-2-2-2-3-6-6.2 |
$11$ |
$0$ |
$C_6$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 3, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6),\ldots$ |
11.6-2.0.2-2-2-2-3-3-3-3-3.2 |
$11$ |
$0$ |
$C_6$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,4)(2,5)(3,6),\ldots$ |
11.6-2.0.2-2-2-2-2-3-3-3-6.2 |
$11$ |
$0$ |
$C_6$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 3, 3, 3, 6 ]$ |
|
|
$(1,4)(2,5)(3,6),\ldots$ |
11.6-2.0.2-2-2-2-2-2-3-6-6.1 |
$11$ |
$0$ |
$C_6$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 3, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6),\ldots$ |
11.6-1.0.2-2-2-2-3-3-3-3-3.1 |
$11$ |
$0$ |
$S_3$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,4)(2,6)(3,5),\ldots$ |
11.6-2.0.2-2-2-2-2-3-3-3-6.1 |
$11$ |
$0$ |
$C_6$ |
$6$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 3, 3, 3, 6 ]$ |
|
|
$(1,4)(2,5)(3,6),\ldots$ |
11.8-5.0.2-2-2-2-2-2-2-2-2.4 |
$11$ |
$0$ |
$C_2^3$ |
$8$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
11.8-5.0.2-2-2-2-2-2-2-2-2.5 |
$11$ |
$0$ |
$C_2^3$ |
$8$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
11.8-5.0.2-2-2-2-2-2-2-2-2.3 |
$11$ |
$0$ |
$C_2^3$ |
$8$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
11.8-5.0.2-2-2-2-2-2-2-2-2.2 |
$11$ |
$0$ |
$C_2^3$ |
$8$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
11.8-5.0.2-2-2-2-2-2-2-2-2.1 |
$11$ |
$0$ |
$C_2^3$ |
$8$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
11.8-3.0.2-2-2-2-2-2-2-2-2.1 |
$11$ |
$0$ |
$D_4$ |
$8$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
11.8-3.0.2-2-2-2-2-2-2-2-2.5 |
$11$ |
$0$ |
$D_4$ |
$8$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
11.8-3.0.2-2-2-2-2-2-2-2-2.2 |
$11$ |
$0$ |
$D_4$ |
$8$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
11.8-3.0.2-2-2-2-2-2-2-2-2.3 |
$11$ |
$0$ |
$D_4$ |
$8$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
11.8-3.0.2-2-2-2-2-2-2-2-2.4 |
$11$ |
$0$ |
$D_4$ |
$8$ |
$6$ |
$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |