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: | $3, 19, 50$ |
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): | $6, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.52-5.0.2-26-26.15.1
| (1,27) (2,28) (3,29) (4,30) (5,31) (6,32) (7,33) (8,34) (9,35) (10,36) (11,37) (12,38) (13,39) (14,40) (15,41) (16,42) (17,43) (18,44) (19,45) (20,46) (21,47) (22,48) (23,49) (24,50) (25,51) (26,52) | |
| (1,19,11,16,8,26,5,23,2,20,12,17,9,14,6,24,3,21,13,18,10,15,7,25,4,22) (27,45,37,42,34,52,31,49,28,46,38,43,35,40,32,50,29,47,39,44,36,41,33,51,30,48) | |
| (1,48,4,51,7,41,10,44,13,47,3,50,6,40,9,43,12,46,2,49,5,52,8,42,11,45) (14,35,17,38,20,28,23,31,26,34,16,37,19,27,22,30,25,33,15,36,18,39,21,29,24,32) |