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: | $3, 11, 30$ |
| 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.
9.30-4.0.3-10-30.1.1
| (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) | |
| (1,17,3,19,5,16,2,18,4,20) (6,22,8,24,10,21,7,23,9,25) (11,27,13,29,15,26,12,28,14,30) | |
| (1,30,9,18,12,21,5,29,8,17,11,25,4,28,7,16,15,24,3,27,6,20,14,23,2,26,10,19,13,22) |