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: | $9, 14, 32$ |
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): | $4, 11, 13, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.45-2.0.3-15-15.85.1
| (1,36,26) (2,37,27) (3,38,28) (4,39,29) (5,40,30) (6,41,16) (7,42,17) (8,43,18) (9,44,19) (10,45,20) (11,31,21) (12,32,22) (13,33,23) (14,34,24) (15,35,25) | |
| (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) (31,37,43,34,40,41,32,38,44,35,36,42,33,39,45) | |
| (1,25,44,3,22,41,5,24,43,2,21,45,4,23,42) (6,30,34,8,27,31,10,29,33,7,26,35,9,28,32) (11,20,39,13,17,36,15,19,38,12,16,40,14,18,37) |