Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_7:C_6$ |
| Group identifier: | $[42,2]$ |
| Signature: | $[ 0; 6, 6, 7 ]$ |
| Conjugacy classes for this refined passport: | $5, 6, 7$ |
| Jacobian variety group algebra decomposition: | $A_{3}^{3}\times E^{3}$ |
| Corresponding character(s): | $7, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.42-2.0.6-6-7.1.1
| (1,29,15,22,8,36) (2,31,19,23,10,40) (3,33,16,24,12,37) (4,35,20,25,14,41) (5,30,17,26,9,38) (6,32,21,27,11,42) (7,34,18,28,13,39) | |
| (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) | |
| (1,3,5,7,2,4,6) (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) |