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: | $4, 4, 8$ |
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.
7.28-1.0.4-4-14.4.1
| (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) | |
| (1,28,8,21) (2,27,9,20) (3,26,10,19) (4,25,11,18) (5,24,12,17) (6,23,13,16) (7,22,14,15) | |
| (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) |