Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_3^3:C_4$ |
| Group identifier: | $[108,37]$ |
| Signature: | $[ 0; 3, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $6, 10, 11$ |
The full automorphism group for this family is $S_3^2:S_3$ with signature $[ 0; 2, 4, 6 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times E^{4}\times E^{4}$ |
| Corresponding character(s): | $5, 8, 9$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.108-37.0.3-4-4.2.1
| (1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) (19,27,23) (20,25,24) (21,26,22) (28,36,32) (29,34,33) (30,35,31) (37,45,41) (38,43,42) (39,44,40) (46,54,50) (47,52,51) (48,53,49) (55,63,59) (56,61,60) (57,62,58) (64,72,68) (65,70,69) (66,71,67) (73,81,77) (74,79,78) (75,80,76) (82,90,86) (83,88,87) (84,89,85) (91,99,95) (92,97,96) (93,98,94) (100,108,104) (101,106,105) (102,107,103) | |
| (1,55,28,82) (2,57,29,84) (3,56,30,83) (4,67,34,106) (5,69,35,108) (6,68,36,107) (7,79,31,94) (8,81,32,96) (9,80,33,95) (10,76,46,97) (11,78,47,99) (12,77,48,98) (13,61,52,85) (14,63,53,87) (15,62,54,86) (16,64,49,100) (17,66,50,102) (18,65,51,101) (19,70,37,103) (20,72,38,105) (21,71,39,104) (22,73,43,91) (23,75,44,93) (24,74,45,92) (25,58,40,88) (26,60,41,90) (27,59,42,89) | |
| (1,86,46,80) (2,85,47,79) (3,87,48,81) (4,101,52,56) (5,100,53,55) (6,102,54,57) (7,98,49,68) (8,97,50,67) (9,99,51,69) (10,92,37,65) (11,91,38,64) (12,93,39,66) (13,89,43,77) (14,88,44,76) (15,90,45,78) (16,104,40,62) (17,103,41,61) (18,105,42,63) (19,107,28,59) (20,106,29,58) (21,108,30,60) (22,95,34,71) (23,94,35,70) (24,96,36,72) (25,83,31,74) (26,82,32,73) (27,84,33,75) |