Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times D_5$ |
| Group identifier: | $[30,2]$ |
| Signature: | $[ 0; 6, 6, 15 ]$ |
| Conjugacy classes for this refined passport: | $7, 7, 9$ |
The full automorphism group for this family is $C_3\times D_{10}$ with signature $[ 0; 2, 6, 30 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{4}^{2}$ |
| Corresponding character(s): | $3, 5, 9$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.30-2.0.6-6-15.1.1
| (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) | |
| (1,25,11,20,6,30) (2,24,12,19,7,29) (3,23,13,18,8,28) (4,22,14,17,9,27) (5,21,15,16,10,26) | |
| (1,7,13,4,10,11,2,8,14,5,6,12,3,9,15) (16,22,28,19,25,26,17,23,29,20,21,27,18,24,30) |