Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
3.12-3.0.2-2-3-3.1 |
$3$ |
$0$ |
$A_4$ |
$12$ |
$1$ |
$[ 0; 2, 2, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
4.12-3.0.2-3-3-3.1 |
$4$ |
$0$ |
$A_4$ |
$12$ |
$1$ |
$[ 0; 2, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
4.12-3.0.2-3-3-3.2 |
$4$ |
$0$ |
$A_4$ |
$12$ |
$1$ |
$[ 0; 2, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
4.12-3.1.2.1 |
$4$ |
$1$ |
$A_4$ |
$12$ |
$1$ |
$[ 1; 2 ]$ |
|
|
$(1,9,5)(2,11,8)(3,12,6)(4,10,7),\ldots$ |
5.12-3.0.3-3-3-3.1 |
$5$ |
$0$ |
$A_4$ |
$12$ |
$1$ |
$[ 0; 3, 3, 3, 3 ]$ |
|
|
$(1,5,9)(2,8,11)(3,6,12)(4,7,10),\ldots$ |
6.12-3.0.2-2-2-3-3.1 |
$6$ |
$0$ |
$A_4$ |
$12$ |
$2$ |
$[ 0; 2, 2, 2, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
7.12-3.0.2-2-3-3-3.2 |
$7$ |
$0$ |
$A_4$ |
$12$ |
$2$ |
$[ 0; 2, 2, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
7.12-3.0.2-2-3-3-3.1 |
$7$ |
$0$ |
$A_4$ |
$12$ |
$2$ |
$[ 0; 2, 2, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
8.12-3.0.2-3-3-3-3.1 |
$8$ |
$0$ |
$A_4$ |
$12$ |
$2$ |
$[ 0; 2, 3, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
9.12-3.0.3-3-3-3-3.2 |
$9$ |
$0$ |
$A_4$ |
$12$ |
$2$ |
$[ 0; 3, 3, 3, 3, 3 ]$ |
|
|
$(1,5,9)(2,8,11)(3,6,12)(4,7,10),\ldots$ |
9.12-3.0.3-3-3-3-3.1 |
$9$ |
$0$ |
$A_4$ |
$12$ |
$2$ |
$[ 0; 3, 3, 3, 3, 3 ]$ |
|
|
$(1,5,9)(2,8,11)(3,6,12)(4,7,10),\ldots$ |
9.12-3.0.2-2-2-2-3-3.1 |
$9$ |
$0$ |
$A_4$ |
$12$ |
$3$ |
$[ 0; 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
10.12-3.0.2-2-2-3-3-3.2 |
$10$ |
$0$ |
$A_4$ |
$12$ |
$3$ |
$[ 0; 2, 2, 2, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
10.12-3.0.2-2-2-3-3-3.1 |
$10$ |
$0$ |
$A_4$ |
$12$ |
$3$ |
$[ 0; 2, 2, 2, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
11.12-3.0.2-2-3-3-3-3.1 |
$11$ |
$0$ |
$A_4$ |
$12$ |
$3$ |
$[ 0; 2, 2, 3, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-3.0.2-3-3-3-3-3.2 |
$12$ |
$0$ |
$A_4$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-3.0.2-3-3-3-3-3.1 |
$12$ |
$0$ |
$A_4$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-3.0.2-2-2-2-2-3-3.1 |
$12$ |
$0$ |
$A_4$ |
$12$ |
$4$ |
$[ 0; 2, 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
13.12-3.0.3-3-3-3-3-3.2 |
$13$ |
$0$ |
$A_4$ |
$12$ |
$3$ |
$[ 0; 3, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,5,9)(2,8,11)(3,6,12)(4,7,10),\ldots$ |
13.12-3.0.3-3-3-3-3-3.3 |
$13$ |
$0$ |
$A_4$ |
$12$ |
$3$ |
$[ 0; 3, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,9,5)(2,11,8)(3,12,6)(4,10,7),\ldots$ |
13.12-3.0.3-3-3-3-3-3.1 |
$13$ |
$0$ |
$A_4$ |
$12$ |
$3$ |
$[ 0; 3, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,5,9)(2,8,11)(3,6,12)(4,7,10),\ldots$ |
13.12-3.0.2-2-2-2-3-3-3.1 |
$13$ |
$0$ |
$A_4$ |
$12$ |
$4$ |
$[ 0; 2, 2, 2, 2, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
13.12-3.0.2-2-2-2-3-3-3.2 |
$13$ |
$0$ |
$A_4$ |
$12$ |
$4$ |
$[ 0; 2, 2, 2, 2, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
14.12-3.0.2-2-2-3-3-3-3.1 |
$14$ |
$0$ |
$A_4$ |
$12$ |
$4$ |
$[ 0; 2, 2, 2, 3, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
15.12-3.0.2-2-3-3-3-3-3.2 |
$15$ |
$0$ |
$A_4$ |
$12$ |
$4$ |
$[ 0; 2, 2, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
15.12-3.0.2-2-3-3-3-3-3.1 |
$15$ |
$0$ |
$A_4$ |
$12$ |
$4$ |
$[ 0; 2, 2, 3, 3, 3, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
15.12-3.0.2-2-2-2-2-2-3-3.1 |
$15$ |
$0$ |
$A_4$ |
$12$ |
$5$ |
$[ 0; 2, 2, 2, 2, 2, 2, 3, 3 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |