Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_7:C_4$ |
| Group identifier: | $[28,1]$ |
| Signature: | $[ 0; 4, 4, 14 ]$ |
| Conjugacy classes for this refined passport: | $4, 4, 10$ |
The full automorphism group for this family is $C_4\times D_7$ with signature $[ 0; 2, 4, 28 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{6}$ |
| Corresponding character(s): | $3, 5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.28-1.0.4-4-14.6.1
| (1,22,8,15) (2,28,9,21) (3,27,10,20) (4,26,11,19) (5,25,12,18) (6,24,13,17) (7,23,14,16) | |
| (1,24,8,17) (2,23,9,16) (3,22,10,15) (4,28,11,21) (5,27,12,20) (6,26,13,19) (7,25,14,18) | |
| (1,13,4,9,7,12,3,8,6,11,2,14,5,10) (15,27,18,23,21,26,17,22,20,25,16,28,19,24) |