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: | $4, 21, 36$ |
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.
12.52-5.0.2-26-26.29.1
| (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) | |
| (1,23,6,15,11,20,3,25,8,17,13,22,5,14,10,19,2,24,7,16,12,21,4,26,9,18) (27,49,32,41,37,46,29,51,34,43,39,48,31,40,36,45,28,50,33,42,38,47,30,52,35,44) | |
| (1,31,9,39,4,34,12,29,7,37,2,32,10,27,5,35,13,30,8,38,3,33,11,28,6,36) (14,44,22,52,17,47,25,42,20,50,15,45,23,40,18,48,26,43,21,51,16,46,24,41,19,49) |