Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_7:C_6$ |
| Group identifier: | $[42,2]$ |
| Signature: | $[ 0; 3, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $4, 6, 6$ |
The full automorphism group for this family is $C_2\times F_7$ with signature $[ 0; 2, 6, 6 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}^{3}$ |
| Corresponding character(s): | $3, 4, 7$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
8.42-2.0.3-6-6.2.1
| (1,15,8) (2,19,10) (3,16,12) (4,20,14) (5,17,9) (6,21,11) (7,18,13) (22,36,29) (23,40,31) (24,37,33) (25,41,35) (26,38,30) (27,42,32) (28,39,34) | |
| (1,40,14,22,19,35) (2,37,9,23,16,30) (3,41,11,24,20,32) (4,38,13,25,17,34) (5,42,8,26,21,29) (6,39,10,27,18,31) (7,36,12,28,15,33) | |
| (1,41,12,22,20,33) (2,38,14,23,17,35) (3,42,9,24,21,30) (4,39,11,25,18,32) (5,36,13,26,15,34) (6,40,8,27,19,29) (7,37,10,28,16,31) |
8.42-2.0.3-6-6.2.2
| (1,15,8) (2,19,10) (3,16,12) (4,20,14) (5,17,9) (6,21,11) (7,18,13) (22,36,29) (23,40,31) (24,37,33) (25,41,35) (26,38,30) (27,42,32) (28,39,34) | |
| (1,41,12,22,20,33) (2,38,14,23,17,35) (3,42,9,24,21,30) (4,39,11,25,18,32) (5,36,13,26,15,34) (6,40,8,27,19,29) (7,37,10,28,16,31) | |
| (1,37,13,22,16,34) (2,41,8,23,20,29) (3,38,10,24,17,31) (4,42,12,25,21,33) (5,39,14,26,18,35) (6,36,9,27,15,30) (7,40,11,28,19,32) |