Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{30}$ |
| Group identifier: | $[60,13]$ |
| Signature: | $[ 0; 2, 30, 30 ]$ |
| Conjugacy classes for this refined passport: | $2, 45, 60$ |
The full automorphism group for this family is $C_{15}:D_4$ with signature $[ 0; 2, 4, 30 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times A_{2}\times A_{4}\times A_{4}$ |
| Corresponding character(s): | $7, 8, 15, 16, 19, 20$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.60-13.0.2-30-30.1.1
| (1,16) (2,17) (3,18) (4,19) (5,20) (6,21) (7,22) (8,23) (9,24) (10,25) (11,26) (12,27) (13,28) (14,29) (15,30) (31,46) (32,47) (33,48) (34,49) (35,50) (36,51) (37,52) (38,53) (39,54) (40,55) (41,56) (42,57) (43,58) (44,59) (45,60) | |
| (1,37,13,34,10,41,2,38,14,35,6,42,3,39,15,31,7,43,4,40,11,32,8,44,5,36,12,33,9,45) (16,52,28,49,25,56,17,53,29,50,21,57,18,54,30,46,22,58,19,55,26,47,23,59,20,51,27,48,24,60) | |
| (1,60,9,48,12,51,5,59,8,47,11,55,4,58,7,46,15,54,3,57,6,50,14,53,2,56,10,49,13,52) (16,45,24,33,27,36,20,44,23,32,26,40,19,43,22,31,30,39,18,42,21,35,29,38,17,41,25,34,28,37) |