Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
12.12-2.0.2-4-4-12-12.6 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 4, 4, 12, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.3-3-3-12-12.5 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 3, 12, 12 ]$ |
|
|
$(1,5,3)(2,6,4)(7,11,9)(8,12,10),\ldots$ |
12.12-2.0.3-3-3-12-12.6 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 3, 12, 12 ]$ |
|
|
$(1,5,3)(2,6,4)(7,11,9)(8,12,10),\ldots$ |
12.12-2.0.3-3-3-12-12.1 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 3, 12, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.3-3-3-12-12.2 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 3, 12, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.3-3-3-12-12.3 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 3, 12, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.2-3-6-12-12.4 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 3, 6, 12, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-3-6-12-12.6 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 3, 6, 12, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-3-6-12-12.1 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 3, 6, 12, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-4-4-12-12.1 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 4, 4, 12, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-4-4-12-12.3 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 4, 4, 12, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-4-4-12-12.2 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 4, 4, 12, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.3-3-3-12-12.4 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 3, 12, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.2-4-4-12-12.5 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 4, 4, 12, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-4-4-12-12.4 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 4, 4, 12, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.3-3-4-6-12.5 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 4, 6, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.3-3-4-6-12.6 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 4, 6, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.3-3-4-6-12.2 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 4, 6, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.2-4-6-6-12.3 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 4, 6, 6, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-4-6-6-12.4 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 4, 6, 6, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.3-3-4-6-12.3 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 4, 6, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.3-3-4-6-12.8 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 4, 6, 12 ]$ |
|
|
$(1,5,3)(2,6,4)(7,11,9)(8,12,10),\ldots$ |
12.12-2.0.3-3-4-6-12.7 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 4, 6, 12 ]$ |
|
|
$(1,5,3)(2,6,4)(7,11,9)(8,12,10),\ldots$ |
12.12-2.0.3-3-4-6-12.1 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 4, 6, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.2-4-6-6-12.1 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 4, 6, 6, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-4-6-6-12.2 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 4, 6, 6, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.3-3-4-6-12.4 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 3, 4, 6, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.3-4-4-4-12.1 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 4, 4, 4, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.3-4-4-4-12.2 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 4, 4, 4, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.3-4-4-4-12.3 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 4, 4, 4, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.3-4-4-4-12.5 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 4, 4, 4, 12 ]$ |
|
|
$(1,5,3)(2,6,4)(7,11,9)(8,12,10),\ldots$ |
12.12-2.0.3-4-4-4-12.4 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 4, 4, 4, 12 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.3-4-4-4-12.8 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 4, 4, 4, 12 ]$ |
|
|
$(1,5,3)(2,6,4)(7,11,9)(8,12,10),\ldots$ |
12.12-2.0.3-4-4-4-12.7 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 4, 4, 4, 12 ]$ |
|
|
$(1,5,3)(2,6,4)(7,11,9)(8,12,10),\ldots$ |
12.12-2.0.3-4-4-4-12.6 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 4, 4, 4, 12 ]$ |
|
|
$(1,5,3)(2,6,4)(7,11,9)(8,12,10),\ldots$ |
12.12-2.0.3-4-4-6-6.2 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 4, 4, 6, 6 ]$ |
|
|
$(1,5,3)(2,6,4)(7,11,9)(8,12,10),\ldots$ |
12.12-2.0.3-4-4-6-6.1 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 3, 4, 4, 6, 6 ]$ |
|
|
$(1,3,5)(2,4,6)(7,9,11)(8,10,12),\ldots$ |
12.12-2.0.2-3-6-12-12.5 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 3, 6, 12, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-3-6-12-12.3 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 3, 6, 12, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-3-6-12-12.2 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$2$ |
$[ 0; 2, 3, 6, 12, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-2-3-3-4-4.1 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$3$ |
$[ 0; 2, 2, 3, 3, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-2-2-3-4-12.1 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$3$ |
$[ 0; 2, 2, 2, 3, 4, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-2-2-3-4-12.2 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$3$ |
$[ 0; 2, 2, 2, 3, 4, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-2-2-3-4-12.3 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$3$ |
$[ 0; 2, 2, 2, 3, 4, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-2-2-3-4-12.4 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$3$ |
$[ 0; 2, 2, 2, 3, 4, 12 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-2-2-2-12-12.1 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$3$ |
$[ 0; 2, 2, 2, 2, 12, 12 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |
12.12-2.0.2-2-2-2-12-12.2 |
$12$ |
$0$ |
$C_{12}$ |
$12$ |
$3$ |
$[ 0; 2, 2, 2, 2, 12, 12 ]$ |
✓ |
|
$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$ |