Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $\GU(2,3)$ |
| Group identifier: | $[96,67]$ |
| Signature: | $[ 0; 3, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $4, 8, 11$ |
The full automorphism group for this family is $D_4.S_4$ with signature $[ 0; 2, 4, 6 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times E^{2}\times E^{2}\times E^{3}$ |
| Corresponding character(s): | $6, 7, 9, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.96-67.0.3-4-4.1.1
| (1,9,17) (2,10,18) (3,15,22) (4,16,21) (5,12,24) (6,11,23) (7,14,19) (8,13,20) (25,33,41) (26,34,42) (27,39,46) (28,40,45) (29,36,48) (30,35,47) (31,38,43) (32,37,44) (49,57,65) (50,58,66) (51,63,70) (52,64,69) (53,60,72) (54,59,71) (55,62,67) (56,61,68) (73,81,89) (74,82,90) (75,87,94) (76,88,93) (77,84,96) (78,83,95) (79,86,91) (80,85,92) | |
| (1,51,31,77) (2,52,32,78) (3,55,29,74) (4,56,30,73) (5,50,28,80) (6,49,27,79) (7,53,26,76) (8,54,25,75) (9,67,39,93) (10,68,40,94) (11,71,37,90) (12,72,38,89) (13,66,36,96) (14,65,35,95) (15,69,34,92) (16,70,33,91) (17,59,47,85) (18,60,48,86) (19,63,45,82) (20,64,46,81) (21,58,44,88) (22,57,43,87) (23,61,42,84) (24,62,41,83) | |
| (1,96,29,67) (2,95,30,68) (3,90,32,69) (4,89,31,70) (5,92,26,72) (6,91,25,71) (7,93,27,65) (8,94,28,66) (9,88,37,59) (10,87,38,60) (11,82,40,61) (12,81,39,62) (13,84,34,64) (14,83,33,63) (15,85,35,57) (16,86,36,58) (17,80,45,51) (18,79,46,52) (19,74,48,53) (20,73,47,54) (21,76,42,56) (22,75,41,55) (23,77,43,49) (24,78,44,50) |