Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
15.12-5.0.2-3-3-6-6-6.1 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.2 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.3 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.4 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.5 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.6 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.7 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.8 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.9 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.10 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.11 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.12 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.13 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.14 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.15 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.16 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.17 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.18 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.19 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.20 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.21 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.22 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.23 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.24 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$ |
15.12-5.0.2-3-3-6-6-6.25 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
15.12-5.0.2-3-3-6-6-6.26 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
15.12-5.0.2-3-3-6-6-6.27 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
15.12-5.0.2-3-3-6-6-6.28 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
15.12-5.0.2-3-3-6-6-6.29 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
15.12-5.0.2-3-3-6-6-6.30 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
15.12-5.0.2-3-3-6-6-6.31 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
15.12-5.0.2-3-3-6-6-6.32 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
15.12-5.0.2-3-3-6-6-6.33 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
15.12-5.0.2-3-3-6-6-6.34 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
15.12-5.0.2-3-3-6-6-6.35 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
15.12-5.0.2-3-3-6-6-6.36 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 3, 3, 6, 6, 6 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$ |
15.12-5.0.2-2-6-6-6-6.1 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.2 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.3 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.4 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.5 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.6 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.7 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.8 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.9 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.10 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.11 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.12 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.13 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |
15.12-5.0.2-2-6-6-6-6.14 |
$15$ |
$0$ |
$C_2\times C_6$ |
$12$ |
$3$ |
$[ 0; 2, 2, 6, 6, 6, 6 ]$ |
|
|
$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$ |