Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_{30}$ |
| Group identifier: | $[30,4]$ |
| Signature: | $[ 0; 3, 10, 30 ]$ |
| Conjugacy classes for this refined passport: | $3, 13, 29$ |
| Jacobian variety group algebra decomposition: | $E\times A_{4}\times A_{4}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) (16,21,26) (17,22,27) (18,23,28) (19,24,29) (20,25,30) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.30-4.0.3-10-30.3.1
| (1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) (16,21,26) (17,22,27) (18,23,28) (19,24,29) (20,25,30) | |
| (1,18,5,17,4,16,3,20,2,19) (6,23,10,22,9,21,8,25,7,24) (11,28,15,27,14,26,13,30,12,29) | |
| (1,29,7,20,13,21,4,27,10,18,11,24,2,30,8,16,14,22,5,28,6,19,12,25,3,26,9,17,15,23) |