Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $A_5$ |
| Group identifier: | $[60,5]$ |
| Signature: | $[ 0; 5, 5, 5 ]$ |
| Conjugacy classes for this refined passport: | $4, 4, 4$ |
The full automorphism group for this family is $S_3\times A_5$ with signature $[ 0; 2, 3, 10 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}^{4}\times E^{5}$ |
| Corresponding character(s): | $4, 5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.60-5.0.5-5-5.1.1
| (1,2,54,5,3) (4,55,53,51,52) (6,7,39,10,8) (9,40,38,36,37) (11,12,24,15,13) (14,25,23,21,22) (16,17,49,20,18) (19,50,48,46,47) (26,27,59,30,28) (29,60,58,56,57) (31,32,44,35,33) (34,45,43,41,42) | |
| (1,47,25,53,44) (2,30,8,14,36) (3,9,51,12,20) (4,21,7,45,13) (5,33,24,41,27) (6,57,55,38,19) (10,48,54,16,42) (11,32,40,23,29) (15,58,39,26,17) (18,59,46,37,35) (22,50,28,34,56) (31,52,60,43,49) | |
| (1,32,13,34,30) (2,38,4,15,16) (3,49,45,6,47) (5,26,7,23,9) (8,59,20,11,57) (10,41,12,53,14) (17,28,19,40,31) (18,44,55,56,42) (21,52,33,54,50) (22,58,24,35,36) (25,46,27,43,29) (37,48,39,60,51) |