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: | $3, 23, 46$ |
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): | $6, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.52-5.0.2-26-26.19.1
| (1,27) (2,28) (3,29) (4,30) (5,31) (6,32) (7,33) (8,34) (9,35) (10,36) (11,37) (12,38) (13,39) (14,40) (15,41) (16,42) (17,43) (18,44) (19,45) (20,46) (21,47) (22,48) (23,49) (24,50) (25,51) (26,52) | |
| (1,16,5,20,9,24,13,15,4,19,8,23,12,14,3,18,7,22,11,26,2,17,6,21,10,25) (27,42,31,46,35,50,39,41,30,45,34,49,38,40,29,44,33,48,37,52,28,43,32,47,36,51) | |
| (1,51,10,47,6,43,2,52,11,48,7,44,3,40,12,49,8,45,4,41,13,50,9,46,5,42) (14,38,23,34,19,30,15,39,24,35,20,31,16,27,25,36,21,32,17,28,26,37,22,33,18,29) |