Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
13.15-1.0.5-15-15-15.32 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,5,4,3,2)(6,10,9,8,7)(11,15,14,13,12),\ldots$ |
13.15-1.0.5-15-15-15.28 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,5,4,3,2)(6,10,9,8,7)(11,15,14,13,12),\ldots$ |
13.15-1.0.5-15-15-15.29 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,5,4,3,2)(6,10,9,8,7)(11,15,14,13,12),\ldots$ |
13.15-1.0.5-15-15-15.30 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,5,4,3,2)(6,10,9,8,7)(11,15,14,13,12),\ldots$ |
13.15-1.0.5-15-15-15.31 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,5,4,3,2)(6,10,9,8,7)(11,15,14,13,12),\ldots$ |
13.15-1.0.5-15-15-15.1 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),\ldots$ |
13.15-1.0.5-15-15-15.2 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),\ldots$ |
13.15-1.0.5-15-15-15.3 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),\ldots$ |
13.15-1.0.5-15-15-15.4 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),\ldots$ |
13.15-1.0.5-15-15-15.5 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),\ldots$ |
13.15-1.0.5-15-15-15.6 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),\ldots$ |
13.15-1.0.5-15-15-15.7 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),\ldots$ |
13.15-1.0.5-15-15-15.8 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),\ldots$ |
13.15-1.0.5-15-15-15.9 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,3,5,2,4)(6,8,10,7,9)(11,13,15,12,14),\ldots$ |
13.15-1.0.5-15-15-15.10 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,3,5,2,4)(6,8,10,7,9)(11,13,15,12,14),\ldots$ |
13.15-1.0.5-15-15-15.11 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,3,5,2,4)(6,8,10,7,9)(11,13,15,12,14),\ldots$ |
13.15-1.0.5-15-15-15.12 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,3,5,2,4)(6,8,10,7,9)(11,13,15,12,14),\ldots$ |
13.15-1.0.5-15-15-15.13 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,3,5,2,4)(6,8,10,7,9)(11,13,15,12,14),\ldots$ |
13.15-1.0.5-15-15-15.14 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,3,5,2,4)(6,8,10,7,9)(11,13,15,12,14),\ldots$ |
13.15-1.0.5-15-15-15.15 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,3,5,2,4)(6,8,10,7,9)(11,13,15,12,14),\ldots$ |
13.15-1.0.5-15-15-15.16 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,3,5,2,4)(6,8,10,7,9)(11,13,15,12,14),\ldots$ |
13.15-1.0.5-15-15-15.17 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,4,2,5,3)(6,9,7,10,8)(11,14,12,15,13),\ldots$ |
13.15-1.0.5-15-15-15.18 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,4,2,5,3)(6,9,7,10,8)(11,14,12,15,13),\ldots$ |
13.15-1.0.5-15-15-15.19 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,4,2,5,3)(6,9,7,10,8)(11,14,12,15,13),\ldots$ |
13.15-1.0.5-15-15-15.20 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,4,2,5,3)(6,9,7,10,8)(11,14,12,15,13),\ldots$ |
13.15-1.0.5-15-15-15.21 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,4,2,5,3)(6,9,7,10,8)(11,14,12,15,13),\ldots$ |
13.15-1.0.5-15-15-15.22 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,4,2,5,3)(6,9,7,10,8)(11,14,12,15,13),\ldots$ |
13.15-1.0.5-15-15-15.23 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,4,2,5,3)(6,9,7,10,8)(11,14,12,15,13),\ldots$ |
13.15-1.0.5-15-15-15.24 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,4,2,5,3)(6,9,7,10,8)(11,14,12,15,13),\ldots$ |
13.15-1.0.5-15-15-15.25 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,5,4,3,2)(6,10,9,8,7)(11,15,14,13,12),\ldots$ |
13.15-1.0.5-15-15-15.26 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,5,4,3,2)(6,10,9,8,7)(11,15,14,13,12),\ldots$ |
13.15-1.0.5-15-15-15.27 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$1$ |
$[ 0; 5, 15, 15, 15 ]$ |
|
|
$(1,5,4,3,2)(6,10,9,8,7)(11,15,14,13,12),\ldots$ |
13.15-1.0.3-3-3-5-5.2 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$2$ |
$[ 0; 3, 3, 3, 5, 5 ]$ |
|
✓ |
$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$ |
13.15-1.0.3-3-3-5-5.3 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$2$ |
$[ 0; 3, 3, 3, 5, 5 ]$ |
|
✓ |
$(1,11,6)(2,12,7)(3,13,8)(4,14,9)(5,15,10),\ldots$ |
13.15-1.0.3-3-3-5-5.4 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$2$ |
$[ 0; 3, 3, 3, 5, 5 ]$ |
|
✓ |
$(1,11,6)(2,12,7)(3,13,8)(4,14,9)(5,15,10),\ldots$ |
13.15-1.0.3-3-3-5-5.1 |
$13$ |
$0$ |
$C_{15}$ |
$15$ |
$2$ |
$[ 0; 3, 3, 3, 5, 5 ]$ |
|
✓ |
$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$ |