Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_3^2:A_4$ |
| Group identifier: | $[108,22]$ |
| Signature: | $[ 0; 3, 3, 6 ]$ |
| Conjugacy classes for this refined passport: | $8, 9, 16$ |
The full automorphism group for this family is $C_3^2:S_4$ with signature $[ 0; 2, 3, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E^{3}\times E^{3}\times E^{3}$ |
| Corresponding character(s): | $3, 12, 16, 17$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.108-22.0.3-3-6.7.1
| (1,73,37) (2,75,40) (3,76,38) (4,74,39) (5,77,41) (6,79,44) (7,80,42) (8,78,43) (9,81,45) (10,83,48) (11,84,46) (12,82,47) (13,93,53) (14,95,56) (15,96,54) (16,94,55) (17,85,57) (18,87,60) (19,88,58) (20,86,59) (21,89,49) (22,91,52) (23,92,50) (24,90,51) (25,101,69) (26,103,72) (27,104,70) (28,102,71) (29,105,61) (30,107,64) (31,108,62) (32,106,63) (33,97,65) (34,99,68) (35,100,66) (36,98,67) | |
| (1,50,103) (2,51,101) (3,49,102) (4,52,104) (5,54,107) (6,55,105) (7,53,106) (8,56,108) (9,58,99) (10,59,97) (11,57,98) (12,60,100) (13,66,75) (14,67,73) (15,65,74) (16,68,76) (17,70,79) (18,71,77) (19,69,78) (20,72,80) (21,62,83) (22,63,81) (23,61,82) (24,64,84) (25,46,95) (26,47,93) (27,45,94) (28,48,96) (29,38,87) (30,39,85) (31,37,86) (32,40,88) (33,42,91) (34,43,89) (35,41,90) (36,44,92) | |
| (1,26,13,2,25,14) (3,28,15,4,27,16) (5,30,17,6,29,18) (7,32,19,8,31,20) (9,34,21,10,33,22) (11,36,23,12,35,24) (37,62,49,38,61,50) (39,64,51,40,63,52) (41,66,53,42,65,54) (43,68,55,44,67,56) (45,70,57,46,69,58) (47,72,59,48,71,60) (73,98,85,74,97,86) (75,100,87,76,99,88) (77,102,89,78,101,90) (79,104,91,80,103,92) (81,106,93,82,105,94) (83,108,95,84,107,96) |