Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
12.18-2.0.2-9-9-18.1 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 9, 9, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-9-9-18.2 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 9, 9, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-9-9-18.3 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 9, 9, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-9-9-18.4 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 9, 9, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-9-9-18.5 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 9, 9, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-9-9-18.6 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 9, 9, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-9-9-18.7 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 9, 9, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-9-9-18.8 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 9, 9, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-9-9-18.9 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 9, 9, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-9-9-18.10 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 9, 9, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-9-9-18.11 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 9, 9, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-9-9-18.12 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 9, 9, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-6-18-18.1 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 6, 18, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-6-18-18.2 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 6, 18, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-6-18-18.3 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 6, 18, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-6-18-18.4 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 6, 18, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-6-18-18.5 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 6, 18, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.2-6-18-18.6 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 2, 6, 18, 18 ]$ |
|
|
$(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$ |
12.18-2.0.3-3-18-18.4 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 3, 3, 18, 18 ]$ |
|
|
$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$ |
12.18-2.0.3-3-18-18.5 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 3, 3, 18, 18 ]$ |
|
|
$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$ |
12.18-2.0.3-3-18-18.6 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 3, 3, 18, 18 ]$ |
|
|
$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$ |
12.18-2.0.3-3-18-18.1 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 3, 3, 18, 18 ]$ |
|
|
$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$ |
12.18-2.0.3-3-18-18.7 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 3, 3, 18, 18 ]$ |
|
|
$(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17),\ldots$ |
12.18-2.0.3-3-18-18.3 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 3, 3, 18, 18 ]$ |
|
|
$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$ |
12.18-2.0.3-3-18-18.2 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 3, 3, 18, 18 ]$ |
|
|
$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$ |
12.18-2.0.3-3-18-18.9 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 3, 3, 18, 18 ]$ |
|
|
$(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17),\ldots$ |
12.18-2.0.3-3-18-18.8 |
$12$ |
$0$ |
$C_{18}$ |
$18$ |
$1$ |
$[ 0; 3, 3, 18, 18 ]$ |
|
|
$(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17),\ldots$ |