Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{22}$ |
| Group identifier: | $[44,4]$ |
| Signature: | $[ 0; 2, 22, 22 ]$ |
| Conjugacy classes for this refined passport: | $4, 19, 30$ |
The full automorphism group for this family is $C_{11}:D_4$ with signature $[ 0; 2, 4, 22 ]$.
| Jacobian variety group algebra decomposition: | $A_{5}\times A_{5}$ |
| Corresponding character(s): | $6, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.44-4.0.2-22-22.25.1
| (1,34) (2,35) (3,36) (4,37) (5,38) (6,39) (7,40) (8,41) (9,42) (10,43) (11,44) (12,23) (13,24) (14,25) (15,26) (16,27) (17,28) (18,29) (19,30) (20,31) (21,32) (22,33) | |
| (1,21,8,17,4,13,11,20,7,16,3,12,10,19,6,15,2,22,9,18,5,14) (23,43,30,39,26,35,33,42,29,38,25,34,32,41,28,37,24,44,31,40,27,36) | |
| (1,25,5,29,9,33,2,26,6,30,10,23,3,27,7,31,11,24,4,28,8,32) (12,36,16,40,20,44,13,37,17,41,21,34,14,38,18,42,22,35,15,39,19,43) |