Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_{52}$ |
| Group identifier: | $[52,2]$ |
| Signature: | $[ 0; 2, 52, 52 ]$ |
| Conjugacy classes for this refined passport: | $2, 29, 40$ |
The full automorphism group for this family is $C_4\times D_{13}$ with signature $[ 0; 2, 4, 52 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{12}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.52-2.0.2-52-52.1.1
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) (25,26) (27,28) (29,30) (31,32) (33,34) (35,36) (37,38) (39,40) (41,42) (43,44) (45,46) (47,48) (49,50) (51,52) | |
| (1,29,6,34,9,37,14,42,17,45,22,50,25,27,4,32,7,35,12,40,15,43,20,48,23,51,2,30,5,33,10,38,13,41,18,46,21,49,26,28,3,31,8,36,11,39,16,44,19,47,24,52) | |
| (1,51,24,48,19,43,16,40,11,35,8,32,3,27,26,50,21,45,18,42,13,37,10,34,5,29,2,52,23,47,20,44,15,39,12,36,7,31,4,28,25,49,22,46,17,41,14,38,9,33,6,30) |