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: | $8, 18, 31$ |
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.
13.45-2.0.3-15-15.77.1
| (1,26,36) (2,27,37) (3,28,38) (4,29,39) (5,30,40) (6,16,41) (7,17,42) (8,18,43) (9,19,44) (10,20,45) (11,21,31) (12,22,32) (13,23,33) (14,24,34) (15,25,35) | |
| (1,14,7,5,13,6,4,12,10,3,11,9,2,15,8) (16,29,22,20,28,21,19,27,25,18,26,24,17,30,23) (31,44,37,35,43,36,34,42,40,33,41,39,32,45,38) | |
| (1,43,25,2,44,21,3,45,22,4,41,23,5,42,24) (6,33,30,7,34,26,8,35,27,9,31,28,10,32,29) (11,38,20,12,39,16,13,40,17,14,36,18,15,37,19) |