Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $\He_3:C_3$ |
| Group identifier: | $[81,9]$ |
| Signature: | $[ 0; 3, 3, 9 ]$ |
| Conjugacy classes for this refined passport: | $6, 9, 16$ |
The full automorphism group for this family is $\He_3.C_6$ with signature $[ 0; 2, 3, 18 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{3}^{3}$ |
| Corresponding character(s): | $2, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.81-9.0.3-3-9.3.1
| (1,28,55) (2,29,56) (3,30,57) (4,32,60) (5,33,58) (6,31,59) (7,36,62) (8,34,63) (9,35,61) (10,40,71) (11,41,72) (12,42,70) (13,44,64) (14,45,65) (15,43,66) (16,39,69) (17,37,67) (18,38,68) (19,52,78) (20,53,76) (21,54,77) (22,47,80) (23,48,81) (24,46,79) (25,51,73) (26,49,74) (27,50,75) | |
| (1,78,38) (2,76,39) (3,77,37) (4,80,42) (5,81,40) (6,79,41) (7,73,43) (8,74,44) (9,75,45) (10,57,50) (11,55,51) (12,56,49) (13,59,54) (14,60,52) (15,58,53) (16,61,46) (17,62,47) (18,63,48) (19,70,34) (20,71,35) (21,72,36) (22,66,29) (23,64,30) (24,65,28) (25,68,33) (26,69,31) (27,67,32) | |
| (1,18,23,3,17,22,2,16,24) (4,12,26,6,11,25,5,10,27) (7,15,20,9,14,19,8,13,21) (28,45,50,30,44,49,29,43,51) (31,39,53,33,38,52,32,37,54) (34,42,47,36,41,46,35,40,48) (55,72,77,57,71,76,56,70,78) (58,66,80,60,65,79,59,64,81) (61,69,74,63,68,73,62,67,75) |