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: | $3, 3, 8$ |
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.
7.28-1.0.4-4-14.1.1
| (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) | |
| (1,21,8,28) (2,20,9,27) (3,19,10,26) (4,18,11,25) (5,17,12,24) (6,16,13,23) (7,15,14,22) | |
| (1,9,3,11,5,13,7,8,2,10,4,12,6,14) (15,23,17,25,19,27,21,22,16,24,18,26,20,28) |