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: | $8, 11, 16$ |
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.
10.81-9.0.3-3-9.15.1
| (1,37,76) (2,38,77) (3,39,78) (4,41,81) (5,42,79) (6,40,80) (7,45,74) (8,43,75) (9,44,73) (10,49,55) (11,50,56) (12,51,57) (13,53,60) (14,54,58) (15,52,59) (16,48,62) (17,46,63) (18,47,61) (19,36,71) (20,34,72) (21,35,70) (22,28,64) (23,29,65) (24,30,66) (25,32,69) (26,33,67) (27,31,68) | |
| (1,71,47) (2,72,48) (3,70,46) (4,64,51) (5,65,49) (6,66,50) (7,69,52) (8,67,53) (9,68,54) (10,78,31) (11,76,32) (12,77,33) (13,80,35) (14,81,36) (15,79,34) (16,73,30) (17,74,28) (18,75,29) (19,57,43) (20,55,44) (21,56,45) (22,59,38) (23,60,39) (24,58,37) (25,61,42) (26,62,40) (27,63,41) | |
| (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) |