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: | $10, 11, 18$ |
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.
10.108-22.0.3-3-6.17.1
| (1,101,49) (2,103,52) (3,104,50) (4,102,51) (5,105,53) (6,107,56) (7,108,54) (8,106,55) (9,97,57) (10,99,60) (11,100,58) (12,98,59) (13,73,65) (14,75,68) (15,76,66) (16,74,67) (17,77,69) (18,79,72) (19,80,70) (20,78,71) (21,81,61) (22,83,64) (23,84,62) (24,82,63) (25,93,45) (26,95,48) (27,96,46) (28,94,47) (29,85,37) (30,87,40) (31,88,38) (32,86,39) (33,89,41) (34,91,44) (35,92,42) (36,90,43) | |
| (1,63,96) (2,62,94) (3,64,93) (4,61,95) (5,67,88) (6,66,86) (7,68,85) (8,65,87) (9,71,92) (10,70,90) (11,72,89) (12,69,91) (13,43,104) (14,42,102) (15,44,101) (16,41,103) (17,47,108) (18,46,106) (19,48,105) (20,45,107) (21,39,100) (22,38,98) (23,40,97) (24,37,99) (25,59,76) (26,58,74) (27,60,73) (28,57,75) (29,51,80) (30,50,78) (31,52,77) (32,49,79) (33,55,84) (34,54,82) (35,56,81) (36,53,83) | |
| (1,27,13,3,25,15) (2,28,14,4,26,16) (5,31,17,7,29,19) (6,32,18,8,30,20) (9,35,21,11,33,23) (10,36,22,12,34,24) (37,63,49,39,61,51) (38,64,50,40,62,52) (41,67,53,43,65,55) (42,68,54,44,66,56) (45,71,57,47,69,59) (46,72,58,48,70,60) (73,99,85,75,97,87) (74,100,86,76,98,88) (77,103,89,79,101,91) (78,104,90,80,102,92) (81,107,93,83,105,95) (82,108,94,84,106,96) |