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: | $2, 34, 47$ |
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): | $7, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.52-5.0.2-26-26.6.1
| (1,14) (2,15) (3,16) (4,17) (5,18) (6,19) (7,20) (8,21) (9,22) (10,23) (11,24) (12,25) (13,26) (27,40) (28,41) (29,42) (30,43) (31,44) (32,45) (33,46) (34,47) (35,48) (36,49) (37,50) (38,51) (39,52) | |
| (1,38,10,34,6,30,2,39,11,35,7,31,3,27,12,36,8,32,4,28,13,37,9,33,5,29) (14,51,23,47,19,43,15,52,24,48,20,44,16,40,25,49,21,45,17,41,26,50,22,46,18,42) | |
| (1,42,5,46,9,50,13,41,4,45,8,49,12,40,3,44,7,48,11,52,2,43,6,47,10,51) (14,29,18,33,22,37,26,28,17,32,21,36,25,27,16,31,20,35,24,39,15,30,19,34,23,38) |