Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $A_5$ |
| Group identifier: | $[60,5]$ |
| Signature: | $[ 0; 3, 3, 5 ]$ |
| Conjugacy classes for this refined passport: | $3, 3, 4$ |
The full automorphism group for this family is $C_2\times A_5$ with signature $[ 0; 2, 3, 10 ]$.
| Jacobian variety group algebra decomposition: | $E^{5}$ |
| Corresponding character(s): | $5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.60-5.0.3-3-5.1.1
| (1,4,42) (2,21,24) (3,13,8) (5,45,25) (6,9,17) (7,51,54) (10,20,55) (11,14,27) (12,36,39) (15,30,40) (16,19,52) (18,38,58) (22,41,44) (23,33,28) (26,29,37) (31,34,47) (32,56,59) (35,50,60) (43,53,48) (46,49,57) | |
| (1,8,55) (2,42,22) (3,25,11) (4,19,34) (5,51,43) (6,13,40) (7,17,52) (9,29,49) (10,36,18) (12,27,37) (14,44,59) (15,21,28) (16,58,50) (20,46,53) (23,45,31) (24,39,54) (26,33,60) (30,56,38) (32,47,57) (35,41,48) | |
| (1,20,43,7,19) (2,44,11,45,28) (3,27,39,21,40) (4,31,5,48,22) (6,30,18,12,29) (8,42,24,51,25) (9,46,10,58,52) (13,17,54,36,55) (14,56,15,33,37) (16,35,53,57,34) (23,47,59,41,60) (26,50,38,32,49) |