Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times D_5$ |
| Group identifier: | $[30,2]$ |
| Signature: | $[ 0; 5, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $5, 7, 8$ |
The full automorphism group for this family is $S_3\times D_5$ with signature $[ 0; 2, 6, 10 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}^{2}$ |
| Corresponding character(s): | $9$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.30-2.0.5-6-6.1.1
| (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) | |
| (1,21,11,16,6,26) (2,25,12,20,7,30) (3,24,13,19,8,29) (4,23,14,18,9,28) (5,22,15,17,10,27) | |
| (1,30,6,20,11,25) (2,29,7,19,12,24) (3,28,8,18,13,23) (4,27,9,17,14,22) (5,26,10,16,15,21) |