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: | $4, 4, 16$ |
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.
13.52-1.0.4-4-26.12.1
| (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) | |
| (1,42,14,29) (2,41,15,28) (3,40,16,27) (4,52,17,39) (5,51,18,38) (6,50,19,37) (7,49,20,36) (8,48,21,35) (9,47,22,34) (10,46,23,33) (11,45,24,32) (12,44,25,31) (13,43,26,30) | |
| (1,25,10,21,6,17,2,26,11,22,7,18,3,14,12,23,8,19,4,15,13,24,9,20,5,16) (27,51,36,47,32,43,28,52,37,48,33,44,29,40,38,49,34,45,30,41,39,50,35,46,31,42) |