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: | $2, 38, 43$ |
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.
12.52-5.0.2-26-26.10.1
| (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) | |
| (1,35,4,38,7,28,10,31,13,34,3,37,6,27,9,30,12,33,2,36,5,39,8,29,11,32) (14,48,17,51,20,41,23,44,26,47,16,50,19,40,22,43,25,46,15,49,18,52,21,42,24,45) | |
| (1,45,11,42,8,52,5,49,2,46,12,43,9,40,6,50,3,47,13,44,10,41,7,51,4,48) (14,32,24,29,21,39,18,36,15,33,25,30,22,27,19,37,16,34,26,31,23,28,20,38,17,35) |