Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times \He_3$ |
| Group identifier: | $[54,10]$ |
| Signature: | $[ 0; 3, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $5, 17, 20$ |
The full automorphism group for this family is $C_3^2:D_6$ with signature $[ 0; 2, 6, 6 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times E\times A_{2}^{3}$ |
| Corresponding character(s): | $4, 5, 6, 10, 19$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.54-10.0.3-6-6.1.1
| (1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18) (19,22,25) (20,23,26) (21,24,27) (28,31,34) (29,32,35) (30,33,36) (37,40,43) (38,41,44) (39,42,45) (46,49,52) (47,50,53) (48,51,54) | |
| (1,37,19,28,10,46) (2,38,20,29,11,47) (3,39,21,30,12,48) (4,41,24,31,14,51) (5,42,22,32,15,49) (6,40,23,33,13,50) (7,45,26,34,18,53) (8,43,27,35,16,54) (9,44,25,36,17,52) | |
| (1,52,14,28,25,41) (2,53,15,29,26,42) (3,54,13,30,27,40) (4,48,18,31,21,45) (5,46,16,32,19,43) (6,47,17,33,20,44) (7,50,10,34,23,37) (8,51,11,35,24,38) (9,49,12,36,22,39) |