Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_{15}:C_4$ |
| Group identifier: | $[60,3]$ |
| Signature: | $[ 0; 4, 4, 15 ]$ |
| Conjugacy classes for this refined passport: | $4, 5, 12$ |
The full automorphism group for this family is $C_{15}:D_4$ with signature $[ 0; 2, 4, 30 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{4}\times A_{8}$ |
| Corresponding character(s): | $5, 9, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.60-3.0.4-4-15.2.1
| (1,31,16,46) (2,35,17,50) (3,34,18,49) (4,33,19,48) (5,32,20,47) (6,41,21,56) (7,45,22,60) (8,44,23,59) (9,43,24,58) (10,42,25,57) (11,36,26,51) (12,40,27,55) (13,39,28,54) (14,38,29,53) (15,37,30,52) | |
| (1,58,16,43) (2,57,17,42) (3,56,18,41) (4,60,19,45) (5,59,20,44) (6,53,21,38) (7,52,22,37) (8,51,23,36) (9,55,24,40) (10,54,25,39) (11,48,26,33) (12,47,27,32) (13,46,28,31) (14,50,29,35) (15,49,30,34) | |
| (1,9,12,5,8,11,4,7,15,3,6,14,2,10,13) (16,24,27,20,23,26,19,22,30,18,21,29,17,25,28) (31,39,42,35,38,41,34,37,45,33,36,44,32,40,43) (46,54,57,50,53,56,49,52,60,48,51,59,47,55,58) |