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: | $3, 25, 44$ |
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.
12.52-5.0.2-26-26.21.1
| (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) | |
| (1,20,13,19,12,18,11,17,10,16,9,15,8,14,7,26,6,25,5,24,4,23,3,22,2,21) (27,46,39,45,38,44,37,43,36,42,35,41,34,40,33,52,32,51,31,50,30,49,29,48,28,47) | |
| (1,47,2,48,3,49,4,50,5,51,6,52,7,40,8,41,9,42,10,43,11,44,12,45,13,46) (14,34,15,35,16,36,17,37,18,38,19,39,20,27,21,28,22,29,23,30,24,31,25,32,26,33) |