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: | $4, 28, 29$ |
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.
12.52-5.0.2-26-26.36.1
| (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) | |
| (1,26,12,24,10,22,8,20,6,18,4,16,2,14,13,25,11,23,9,21,7,19,5,17,3,15) (27,52,38,50,36,48,34,46,32,44,30,42,28,40,39,51,37,49,35,47,33,45,31,43,29,41) | |
| (1,28,3,30,5,32,7,34,9,36,11,38,13,27,2,29,4,31,6,33,8,35,10,37,12,39) (14,41,16,43,18,45,20,47,22,49,24,51,26,40,15,42,17,44,19,46,21,48,23,50,25,52) |