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: | $4, 18, 39$ |
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.
12.52-5.0.2-26-26.26.1
| (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) | |
| (1,17,7,23,13,16,6,22,12,15,5,21,11,14,4,20,10,26,3,19,9,25,2,18,8,24) (27,43,33,49,39,42,32,48,38,41,31,47,37,40,30,46,36,52,29,45,35,51,28,44,34,50) | |
| (1,37,8,31,2,38,9,32,3,39,10,33,4,27,11,34,5,28,12,35,6,29,13,36,7,30) (14,50,21,44,15,51,22,45,16,52,23,46,17,40,24,47,18,41,25,48,19,42,26,49,20,43) |