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: | $2, 4, 33$ |
| 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.
10.33-1.0.3-11-33.1.1
| (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) | |
| (1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22) (23,24,25,26,27,28,29,30,31,32,33) | |
| (1,33,21,9,30,18,6,27,15,3,24,12,11,32,20,8,29,17,5,26,14,2,23,22,10,31,19,7,28,16,4,25,13) |