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: | $3, 14, 25$ |
| 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.
9.30-4.0.3-10-30.4.1
| (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) | |
| (1,20,4,18,2,16,5,19,3,17) (6,25,9,23,7,21,10,24,8,22) (11,30,14,28,12,26,15,29,13,27) | |
| (1,27,8,19,15,21,2,28,9,20,11,22,3,29,10,16,12,23,4,30,6,17,13,24,5,26,7,18,14,25) |