| Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
| 4.18-5.0.3-6-6.3 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$ |
| 4.18-5.0.3-6-6.6 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17),\ldots$ |
| 4.18-5.0.3-6-6.8 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,4,7)(2,5,8)(3,6,9)(10,13,16)(11,14,17)(12,15,18),\ldots$ |
| 4.18-5.0.3-6-6.9 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,4,7)(2,5,8)(3,6,9)(10,13,16)(11,14,17)(12,15,18),\ldots$ |
| 4.18-5.0.3-6-6.13 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,5,9)(2,6,7)(3,4,8)(10,14,18)(11,15,16)(12,13,17),\ldots$ |
| 4.18-5.0.3-6-6.15 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,5,9)(2,6,7)(3,4,8)(10,14,18)(11,15,16)(12,13,17),\ldots$ |
| 4.18-5.0.3-6-6.16 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,9,5)(2,7,6)(3,8,4)(10,18,14)(11,16,15)(12,17,13),\ldots$ |
| 4.18-5.0.3-6-6.20 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,6,8)(2,4,9)(3,5,7)(10,15,17)(11,13,18)(12,14,16),\ldots$ |
| 4.18-5.0.3-6-6.22 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,8,6)(2,9,4)(3,7,5)(10,17,15)(11,18,13)(12,16,14),\ldots$ |
| 4.18-5.0.3-6-6.23 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,8,6)(2,9,4)(3,7,5)(10,17,15)(11,18,13)(12,16,14),\ldots$ |
| 4.18-5.0.3-6-6.1 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$ |
| 4.18-5.0.3-6-6.7 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,4,7)(2,5,8)(3,6,9)(10,13,16)(11,14,17)(12,15,18),\ldots$ |
| 4.18-5.0.3-6-6.10 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,7,4)(2,8,5)(3,9,6)(10,16,13)(11,17,14)(12,18,15),\ldots$ |
| 4.18-5.0.3-6-6.11 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,7,4)(2,8,5)(3,9,6)(10,16,13)(11,17,14)(12,18,15),\ldots$ |
| 4.18-5.0.3-6-6.12 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,7,4)(2,8,5)(3,9,6)(10,16,13)(11,17,14)(12,18,15),\ldots$ |
| 4.18-5.0.3-6-6.14 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,5,9)(2,6,7)(3,4,8)(10,14,18)(11,15,16)(12,13,17),\ldots$ |
| 4.18-5.0.3-6-6.17 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,9,5)(2,7,6)(3,8,4)(10,18,14)(11,16,15)(12,17,13),\ldots$ |
| 4.18-5.0.3-6-6.18 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,9,5)(2,7,6)(3,8,4)(10,18,14)(11,16,15)(12,17,13),\ldots$ |
| 4.18-5.0.3-6-6.19 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,6,8)(2,4,9)(3,5,7)(10,15,17)(11,13,18)(12,14,16),\ldots$ |
| 4.18-5.0.3-6-6.21 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,6,8)(2,4,9)(3,5,7)(10,15,17)(11,13,18)(12,14,16),\ldots$ |
| 4.18-5.0.3-6-6.24 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,8,6)(2,9,4)(3,7,5)(10,17,15)(11,18,13)(12,16,14),\ldots$ |
| 4.18-5.0.3-6-6.2 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$ |
| 4.18-5.0.3-6-6.4 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17),\ldots$ |
| 4.18-5.0.3-6-6.5 |
$4$ |
$0$ |
$C_3\times C_6$ |
$18$ |
$0$ |
$[ 0; 3, 6, 6 ]$ |
|
|
$(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17),\ldots$ |
