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: | $3, 3, 15$ |
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.
13.52-1.0.4-4-26.5.1
| (1,27,14,40) (2,39,15,52) (3,38,16,51) (4,37,17,50) (5,36,18,49) (6,35,19,48) (7,34,20,47) (8,33,21,46) (9,32,22,45) (10,31,23,44) (11,30,24,43) (12,29,25,42) (13,28,26,41) | |
| (1,31,14,44) (2,30,15,43) (3,29,16,42) (4,28,17,41) (5,27,18,40) (6,39,19,52) (7,38,20,51) (8,37,21,50) (9,36,22,49) (10,35,23,48) (11,34,24,47) (12,33,25,46) (13,32,26,45) | |
| (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) |