Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_{33}$ |
| Group identifier: | $[33,1]$ |
| Signature: | $[ 0; 3, 11, 33 ]$ |
| Conjugacy classes for this refined passport: | $2, 6, 19$ |
| Jacobian variety group algebra decomposition: | $A_{10}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,12,23) (2,13,24) (3,14,25) (4,15,26) (5,16,27) (6,17,28) (7,18,29) (8,19,30) (9,20,31) (10,21,32) (11,22,33) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.33-1.0.3-11-33.3.1
| (1,12,23) (2,13,24) (3,14,25) (4,15,26) (5,16,27) (6,17,28) (7,18,29) (8,19,30) (9,20,31) (10,21,32) (11,22,33) | |
| (1,4,7,10,2,5,8,11,3,6,9) (12,15,18,21,13,16,19,22,14,17,20) (23,26,29,32,24,27,30,33,25,28,31) | |
| (1,31,17,3,33,19,5,24,21,7,26,12,9,28,14,11,30,16,2,32,18,4,23,20,6,25,22,8,27,13,10,29,15) |