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: | $9, 12, 19$ |
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.
10.108-22.0.3-3-6.15.1
| (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) | |
| (1,94,64) (2,96,61) (3,95,63) (4,93,62) (5,86,68) (6,88,65) (7,87,67) (8,85,66) (9,90,72) (10,92,69) (11,91,71) (12,89,70) (13,102,44) (14,104,41) (15,103,43) (16,101,42) (17,106,48) (18,108,45) (19,107,47) (20,105,46) (21,98,40) (22,100,37) (23,99,39) (24,97,38) (25,74,60) (26,76,57) (27,75,59) (28,73,58) (29,78,52) (30,80,49) (31,79,51) (32,77,50) (33,82,56) (34,84,53) (35,83,55) (36,81,54) | |
| (1,22,29,2,21,30) (3,24,31,4,23,32) (5,14,33,6,13,34) (7,16,35,8,15,36) (9,18,25,10,17,26) (11,20,27,12,19,28) (37,58,65,38,57,66) (39,60,67,40,59,68) (41,50,69,42,49,70) (43,52,71,44,51,72) (45,54,61,46,53,62) (47,56,63,48,55,64) (73,94,101,74,93,102) (75,96,103,76,95,104) (77,86,105,78,85,106) (79,88,107,80,87,108) (81,90,97,82,89,98) (83,92,99,84,91,100) |