Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $C_{15}:C_4$ |
| Group identifier: | $[60,7]$ |
| Signature: | $[ 0; 4, 4, 6 ]$ |
| Conjugacy classes for this refined passport: | $4, 4, 7$ |
The full automorphism group for this family is $S_3\times F_5$ with signature $[ 0; 2, 4, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}^{4}$ |
| Corresponding character(s): | $3, 6, 8$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
11.60-7.0.4-4-6.1.1
| (1,31,16,46) (2,34,20,48) (3,32,19,50) (4,35,18,47) (5,33,17,49) (6,41,21,56) (7,44,25,58) (8,42,24,60) (9,45,23,57) (10,43,22,59) (11,36,26,51) (12,39,30,53) (13,37,29,55) (14,40,28,52) (15,38,27,54) | |
| (1,44,18,60) (2,42,17,57) (3,45,16,59) (4,43,20,56) (5,41,19,58) (6,39,23,55) (7,37,22,52) (8,40,21,54) (9,38,25,51) (10,36,24,53) (11,34,28,50) (12,32,27,47) (13,35,26,49) (14,33,30,46) (15,31,29,48) | |
| (1,24,11,19,6,29) (2,23,12,18,7,28) (3,22,13,17,8,27) (4,21,14,16,9,26) (5,25,15,20,10,30) (31,54,41,49,36,59) (32,53,42,48,37,58) (33,52,43,47,38,57) (34,51,44,46,39,56) (35,55,45,50,40,60) |
11.60-7.0.4-4-6.1.2
| (1,31,16,46) (2,34,20,48) (3,32,19,50) (4,35,18,47) (5,33,17,49) (6,41,21,56) (7,44,25,58) (8,42,24,60) (9,45,23,57) (10,43,22,59) (11,36,26,51) (12,39,30,53) (13,37,29,55) (14,40,28,52) (15,38,27,54) | |
| (1,42,20,59) (2,45,19,56) (3,43,18,58) (4,41,17,60) (5,44,16,57) (6,37,25,54) (7,40,24,51) (8,38,23,53) (9,36,22,55) (10,39,21,52) (11,32,30,49) (12,35,29,46) (13,33,28,48) (14,31,27,50) (15,34,26,47) | |
| (1,22,11,17,6,27) (2,21,12,16,7,26) (3,25,13,20,8,30) (4,24,14,19,9,29) (5,23,15,18,10,28) (31,52,41,47,36,57) (32,51,42,46,37,56) (33,55,43,50,38,60) (34,54,44,49,39,59) (35,53,45,48,40,58) |