Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $F_7$ |
| Group identifier: | $[42,1]$ |
| Signature: | $[ 0; 6, 6, 7 ]$ |
| Conjugacy classes for this refined passport: | $5, 6, 7$ |
| Jacobian variety group algebra decomposition: | $A_{2}^{6}$ |
| Corresponding character(s): | $7$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.42-1.0.6-6-7.1.1
| (1,29,15,22,8,36) (2,34,19,28,10,39) (3,32,16,27,12,42) (4,30,20,26,14,38) (5,35,17,25,9,41) (6,33,21,24,11,37) (7,31,18,23,13,40) | |
| (1,41,14,24,19,32) (2,37,9,23,16,30) (3,40,11,22,20,35) (4,36,13,28,17,33) (5,39,8,27,21,31) (6,42,10,26,18,29) (7,38,12,25,15,34) | |
| (1,3,5,7,2,4,6) (8,10,12,14,9,11,13) (15,17,19,21,16,18,20) (22,24,26,28,23,25,27) (29,31,33,35,30,32,34) (36,38,40,42,37,39,41) |