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: | $2, 46, 59$ |
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.
14.60-13.0.2-30-30.2.1
| (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) | |
| (1,38,15,32,9,41,3,40,12,34,6,43,5,37,14,31,8,45,2,39,11,33,10,42,4,36,13,35,7,44) (16,53,30,47,24,56,18,55,27,49,21,58,20,52,29,46,23,60,17,54,26,48,25,57,19,51,28,50,22,59) | |
| (1,59,7,50,13,51,4,57,10,48,11,54,2,60,8,46,14,52,5,58,6,49,12,55,3,56,9,47,15,53) (16,44,22,35,28,36,19,42,25,33,26,39,17,45,23,31,29,37,20,43,21,34,27,40,18,41,24,32,30,38) |