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: | $4, 4, 15$ |
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.
13.52-1.0.4-4-26.11.1
| (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) | |
| (1,44,14,31) (2,43,15,30) (3,42,16,29) (4,41,17,28) (5,40,18,27) (6,52,19,39) (7,51,20,38) (8,50,21,37) (9,49,22,36) (10,48,23,35) (11,47,24,34) (12,46,25,33) (13,45,26,32) | |
| (1,23,6,15,11,20,3,25,8,17,13,22,5,14,10,19,2,24,7,16,12,21,4,26,9,18) (27,49,32,41,37,46,29,51,34,43,39,48,31,40,36,45,28,50,33,42,38,47,30,52,35,44) |