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: | $2, 25, 44$ |
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.
10.44-4.0.2-22-22.1.1
| (1,12) (2,13) (3,14) (4,15) (5,16) (6,17) (7,18) (8,19) (9,20) (10,21) (11,22) (23,34) (24,35) (25,36) (26,37) (27,38) (28,39) (29,40) (30,41) (31,42) (32,43) (33,44) | |
| (1,24,3,26,5,28,7,30,9,32,11,23,2,25,4,27,6,29,8,31,10,33) (12,35,14,37,16,39,18,41,20,43,22,34,13,36,15,38,17,40,19,42,21,44) | |
| (1,44,10,42,8,40,6,38,4,36,2,34,11,43,9,41,7,39,5,37,3,35) (12,33,21,31,19,29,17,27,15,25,13,23,22,32,20,30,18,28,16,26,14,24) |