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: | $4, 4, 14$ |
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.
13.52-1.0.4-4-26.10.1
| (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) | |
| (1,46,14,33) (2,45,15,32) (3,44,16,31) (4,43,17,30) (5,42,18,29) (6,41,19,28) (7,40,20,27) (8,52,21,39) (9,51,22,38) (10,50,23,37) (11,49,24,36) (12,48,25,35) (13,47,26,34) | |
| (1,21,2,22,3,23,4,24,5,25,6,26,7,14,8,15,9,16,10,17,11,18,12,19,13,20) (27,47,28,48,29,49,30,50,31,51,32,52,33,40,34,41,35,42,36,43,37,44,38,45,39,46) |