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: | $7, 12, 18$ |
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.
10.108-22.0.3-3-6.5.1
| (1,37,73) (2,40,75) (3,38,76) (4,39,74) (5,41,77) (6,44,79) (7,42,80) (8,43,78) (9,45,81) (10,48,83) (11,46,84) (12,47,82) (13,53,93) (14,56,95) (15,54,96) (16,55,94) (17,57,85) (18,60,87) (19,58,88) (20,59,86) (21,49,89) (22,52,91) (23,50,92) (24,51,90) (25,69,101) (26,72,103) (27,70,104) (28,71,102) (29,61,105) (30,64,107) (31,62,108) (32,63,106) (33,65,97) (34,68,99) (35,66,100) (36,67,98) | |
| (1,96,63) (2,94,62) (3,93,64) (4,95,61) (5,88,67) (6,86,66) (7,85,68) (8,87,65) (9,92,71) (10,90,70) (11,89,72) (12,91,69) (13,104,43) (14,102,42) (15,101,44) (16,103,41) (17,108,47) (18,106,46) (19,105,48) (20,107,45) (21,100,39) (22,98,38) (23,97,40) (24,99,37) (25,76,59) (26,74,58) (27,73,60) (28,75,57) (29,80,51) (30,78,50) (31,77,52) (32,79,49) (33,84,55) (34,82,54) (35,81,56) (36,83,53) | |
| (1,32,21,4,29,24) (2,31,22,3,30,23) (5,36,13,8,33,16) (6,35,14,7,34,15) (9,28,17,12,25,20) (10,27,18,11,26,19) (37,68,57,40,65,60) (38,67,58,39,66,59) (41,72,49,44,69,52) (42,71,50,43,70,51) (45,64,53,48,61,56) (46,63,54,47,62,55) (73,104,93,76,101,96) (74,103,94,75,102,95) (77,108,85,80,105,88) (78,107,86,79,106,87) (81,100,89,84,97,92) (82,99,90,83,98,91) |