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: | $7, 10, 19$ |
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.
10.108-22.0.3-3-6.3.1
| (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) | |
| (1,102,52) (2,104,49) (3,103,51) (4,101,50) (5,106,56) (6,108,53) (7,107,55) (8,105,54) (9,98,60) (10,100,57) (11,99,59) (12,97,58) (13,74,68) (14,76,65) (15,75,67) (16,73,66) (17,78,72) (18,80,69) (19,79,71) (20,77,70) (21,82,64) (22,84,61) (23,83,63) (24,81,62) (25,94,48) (26,96,45) (27,95,47) (28,93,46) (29,86,40) (30,88,37) (31,87,39) (32,85,38) (33,90,44) (34,92,41) (35,91,43) (36,89,42) | |
| (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) |