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: | $3, 17, 52$ |
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.
12.52-5.0.2-26-26.13.1
| (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) | |
| (1,15,3,17,5,19,7,21,9,23,11,25,13,14,2,16,4,18,6,20,8,22,10,24,12,26) (27,41,29,43,31,45,33,47,35,49,37,51,39,40,28,42,30,44,32,46,34,48,36,50,38,52) | |
| (1,52,12,50,10,48,8,46,6,44,4,42,2,40,13,51,11,49,9,47,7,45,5,43,3,41) (14,39,25,37,23,35,21,33,19,31,17,29,15,27,26,38,24,36,22,34,20,32,18,30,16,28) |