Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2:S_4$ |
| Group identifier: | $[96,227]$ |
| Signature: | $[ 0; 3, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $7, 8, 9$ |
The full automorphism group for this family is $C_2^3:S_4$ with signature $[ 0; 2, 4, 6 ]$.
| Jacobian variety group algebra decomposition: | $E^{3}\times E^{6}$ |
| Corresponding character(s): | $5, 10$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.96-227.0.3-4-4.1.1
| (1,17,33) (2,19,36) (3,20,34) (4,18,35) (5,29,41) (6,31,44) (7,32,42) (8,30,43) (9,21,45) (10,23,48) (11,24,46) (12,22,47) (13,25,37) (14,27,40) (15,28,38) (16,26,39) (49,65,81) (50,67,84) (51,68,82) (52,66,83) (53,77,89) (54,79,92) (55,80,90) (56,78,91) (57,69,93) (58,71,96) (59,72,94) (60,70,95) (61,73,85) (62,75,88) (63,76,86) (64,74,87) | |
| (1,62,4,63) (2,64,3,61) (5,54,8,55) (6,56,7,53) (9,58,12,59) (10,60,11,57) (13,50,16,51) (14,52,15,49) (17,94,20,95) (18,96,19,93) (21,86,24,87) (22,88,23,85) (25,90,28,91) (26,92,27,89) (29,82,32,83) (30,84,31,81) (33,78,36,79) (34,80,35,77) (37,70,40,71) (38,72,39,69) (41,74,44,75) (42,76,43,73) (45,66,48,67) (46,68,47,65) | |
| (1,86,9,94) (2,85,10,93) (3,87,11,95) (4,88,12,96) (5,90,13,82) (6,89,14,81) (7,91,15,83) (8,92,16,84) (17,70,25,78) (18,69,26,77) (19,71,27,79) (20,72,28,80) (21,74,29,66) (22,73,30,65) (23,75,31,67) (24,76,32,68) (33,54,41,62) (34,53,42,61) (35,55,43,63) (36,56,44,64) (37,58,45,50) (38,57,46,49) (39,59,47,51) (40,60,48,52) |