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: | $3, 3, 10$ |
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.
7.28-1.0.4-4-14.3.1
| (1,15,8,22) (2,21,9,28) (3,20,10,27) (4,19,11,26) (5,18,12,25) (6,17,13,24) (7,16,14,23) | |
| (1,17,8,24) (2,16,9,23) (3,15,10,22) (4,21,11,28) (5,20,12,27) (6,19,13,26) (7,18,14,25) | |
| (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) |