Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{18}$ |
| Group identifier: | $[36,5]$ |
| Signature: | $[ 0; 6, 18, 18 ]$ |
| Conjugacy classes for this refined passport: | $8, 30, 35$ |
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}\times A_{3}\times A_{3}\times E\times E$ |
| Corresponding character(s): | $5, 6, 7, 8, 14, 16$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.36-5.0.6-18-18.12.1
| (1,12,2,10,3,11) (4,15,5,13,6,14) (7,18,8,16,9,17) (19,30,20,28,21,29) (22,33,23,31,24,32) (25,36,26,34,27,35) | |
| (1,27,6,21,8,23,2,25,4,19,9,24,3,26,5,20,7,22) (10,36,15,30,17,32,11,34,13,28,18,33,12,35,14,29,16,31) | |
| (1,32,9,29,6,34,3,31,8,28,5,36,2,33,7,30,4,35) (10,23,18,20,15,25,12,22,17,19,14,27,11,24,16,21,13,26) |