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: | $2, 32, 49$ |
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.
12.52-5.0.2-26-26.4.1
| (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) | |
| (1,34,2,35,3,36,4,37,5,38,6,39,7,27,8,28,9,29,10,30,11,31,12,32,13,33) (14,47,15,48,16,49,17,50,18,51,19,52,20,40,21,41,22,42,23,43,24,44,25,45,26,46) | |
| (1,46,13,45,12,44,11,43,10,42,9,41,8,40,7,52,6,51,5,50,4,49,3,48,2,47) (14,33,26,32,25,31,24,30,23,29,22,28,21,27,20,39,19,38,18,37,17,36,16,35,15,34) |