Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_{13}:C_4$ |
| Group identifier: | $[52,1]$ |
| Signature: | $[ 0; 4, 4, 26 ]$ |
| Conjugacy classes for this refined passport: | $4, 4, 12$ |
The full automorphism group for this family is $C_4\times D_{13}$ with signature $[ 0; 2, 4, 52 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{12}$ |
| Corresponding character(s): | $3, 5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.52-1.0.4-4-26.8.1
| (1,40,14,27) (2,52,15,39) (3,51,16,38) (4,50,17,37) (5,49,18,36) (6,48,19,35) (7,47,20,34) (8,46,21,33) (9,45,22,32) (10,44,23,31) (11,43,24,30) (12,42,25,29) (13,41,26,28) | |
| (1,50,14,37) (2,49,15,36) (3,48,16,35) (4,47,17,34) (5,46,18,33) (6,45,19,32) (7,44,20,31) (8,43,21,30) (9,42,22,29) (10,41,23,28) (11,40,24,27) (12,52,25,39) (13,51,26,38) | |
| (1,17,7,23,13,16,6,22,12,15,5,21,11,14,4,20,10,26,3,19,9,25,2,18,8,24) (27,43,33,49,39,42,32,48,38,41,31,47,37,40,30,46,36,52,29,45,35,51,28,44,34,50) |