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: | $9, 12, 17$ |
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.
10.108-22.0.3-3-6.14.1
| (1,49,101) (2,52,103) (3,50,104) (4,51,102) (5,53,105) (6,56,107) (7,54,108) (8,55,106) (9,57,97) (10,60,99) (11,58,100) (12,59,98) (13,65,73) (14,68,75) (15,66,76) (16,67,74) (17,69,77) (18,72,79) (19,70,80) (20,71,78) (21,61,81) (22,64,83) (23,62,84) (24,63,82) (25,45,93) (26,48,95) (27,46,96) (28,47,94) (29,37,85) (30,40,87) (31,38,88) (32,39,86) (33,41,89) (34,44,91) (35,42,92) (36,43,90) | |
| (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) | |
| (1,24,29,4,21,32) (2,23,30,3,22,31) (5,16,33,8,13,36) (6,15,34,7,14,35) (9,20,25,12,17,28) (10,19,26,11,18,27) (37,60,65,40,57,68) (38,59,66,39,58,67) (41,52,69,44,49,72) (42,51,70,43,50,71) (45,56,61,48,53,64) (46,55,62,47,54,63) (73,96,101,76,93,104) (74,95,102,75,94,103) (77,88,105,80,85,108) (78,87,106,79,86,107) (81,92,97,84,89,100) (82,91,98,83,90,99) |