Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $A_5$ |
| Group identifier: | $[60,5]$ |
| Signature: | $[ 0; 2, 5, 5 ]$ |
| Conjugacy classes for this refined passport: | $2, 4, 5$ |
The full automorphism group for this family is $S_5$ with signature $[ 0; 2, 4, 5 ]$.
| Jacobian variety group algebra decomposition: | $E^{4}$ |
| Corresponding character(s): | $4$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.60-5.0.2-5-5.1.1
| (1,14) (2,10) (3,53) (4,6) (5,12) (7,15) (8,38) (9,11) (13,23) (16,39) (17,60) (18,48) (19,56) (20,37) (21,34) (22,30) (24,26) (25,32) (27,35) (28,58) (29,31) (33,43) (36,59) (40,57) (41,54) (42,50) (44,46) (45,52) (47,55) (49,51) | |
| (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) | |
| (1,53,47,44,25) (2,14,30,36,8) (3,12,9,20,51) (4,45,21,13,7) (5,41,33,27,24) (6,38,57,19,55) (10,16,48,42,54) (11,23,32,29,40) (15,26,58,17,39) (18,37,59,35,46) (22,34,50,56,28) (31,43,52,49,60) |