Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{26}$ |
| Group identifier: | $[52,5]$ |
| Signature: | $[ 0; 2, 26, 26 ]$ |
| Conjugacy classes for this refined passport: | $4, 22, 35$ |
The full automorphism group for this family is $C_{13}:D_4$ with signature $[ 0; 2, 4, 26 ]$.
| Jacobian variety group algebra decomposition: | $A_{6}\times A_{6}$ |
| Corresponding character(s): | $6, 7$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.52-5.0.2-26-26.30.1
| (1,40) (2,41) (3,42) (4,43) (5,44) (6,45) (7,46) (8,47) (9,48) (10,49) (11,50) (12,51) (13,52) (14,27) (15,28) (16,29) (17,30) (18,31) (19,32) (20,33) (21,34) (22,35) (23,36) (24,37) (25,38) (26,39) | |
| (1,25,10,21,6,17,2,26,11,22,7,18,3,14,12,23,8,19,4,15,13,24,9,20,5,16) (27,51,36,47,32,43,28,52,37,48,33,44,29,40,38,49,34,45,30,41,39,50,35,46,31,42) | |
| (1,29,5,33,9,37,13,28,4,32,8,36,12,27,3,31,7,35,11,39,2,30,6,34,10,38) (14,42,18,46,22,50,26,41,17,45,21,49,25,40,16,44,20,48,24,52,15,43,19,47,23,51) |