Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times C_{15}$ |
| Group identifier: | $[45,2]$ |
| Signature: | $[ 0; 3, 15, 15 ]$ |
| Conjugacy classes for this refined passport: | $3, 26, 33$ |
The full automorphism group for this family is $C_3\times D_{15}$ with signature $[ 0; 2, 6, 15 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{4}\times A_{4}\times A_{4}$ |
| Corresponding character(s): | $6, 13, 14, 15$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.45-2.0.3-15-15.17.1
| (1,11,6) (2,12,7) (3,13,8) (4,14,9) (5,15,10) (16,26,21) (17,27,22) (18,28,23) (19,29,24) (20,30,25) (31,41,36) (32,42,37) (33,43,38) (34,44,39) (35,45,40) | |
| (1,34,17,5,33,16,4,32,20,3,31,19,2,35,18) (6,39,22,10,38,21,9,37,25,8,36,24,7,40,23) (11,44,27,15,43,26,14,42,30,13,41,29,12,45,28) | |
| (1,23,45,2,24,41,3,25,42,4,21,43,5,22,44) (6,28,35,7,29,31,8,30,32,9,26,33,10,27,34) (11,18,40,12,19,36,13,20,37,14,16,38,15,17,39) |