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: | $4, 26, 31$ |
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.
12.52-5.0.2-26-26.34.1
| (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) | |
| (1,22,4,25,7,15,10,18,13,21,3,24,6,14,9,17,12,20,2,23,5,26,8,16,11,19) (27,48,30,51,33,41,36,44,39,47,29,50,32,40,35,43,38,46,28,49,31,52,34,42,37,45) | |
| (1,32,11,29,8,39,5,36,2,33,12,30,9,27,6,37,3,34,13,31,10,28,7,38,4,35) (14,45,24,42,21,52,18,49,15,46,25,43,22,40,19,50,16,47,26,44,23,41,20,51,17,48) |