Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_5\times Q_8$ |
| Group identifier: | $[40,11]$ |
| Signature: | $[ 0; 4, 20, 20 ]$ |
| Conjugacy classes for this refined passport: | $3, 19, 24$ |
The full automorphism group for this family is $Q_8:D_5$ with signature $[ 0; 2, 8, 20 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $5, 6, 21, 22$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.40-11.0.4-20-20.2.1
| (1,11,2,12) (3,13,4,14) (5,15,6,16) (7,17,8,18) (9,19,10,20) (21,31,22,32) (23,33,24,34) (25,35,26,36) (27,37,28,38) (29,39,30,40) | |
| (1,28,4,29,5,22,8,23,9,26,2,27,3,30,6,21,7,24,10,25) (11,37,14,40,15,31,18,34,19,35,12,38,13,39,16,32,17,33,20,36) | |
| (1,36,10,33,7,32,6,39,3,38,2,35,9,34,8,31,5,40,4,37) (11,26,20,23,17,22,16,29,13,28,12,25,19,24,18,21,15,30,14,27) |