Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_{42}$ |
| Group identifier: | $[42,6]$ |
| Signature: | $[ 0; 6, 7, 42 ]$ |
| Conjugacy classes for this refined passport: | $5, 7, 42$ |
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{6}\times A_{6}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.42-6.0.6-7-42.1.1
| (1,29,15,22,8,36) (2,30,16,23,9,37) (3,31,17,24,10,38) (4,32,18,25,11,39) (5,33,19,26,12,40) (6,34,20,27,13,41) (7,35,21,28,14,42) | |
| (1,2,3,4,5,6,7) (8,9,10,11,12,13,14) (15,16,17,18,19,20,21) (22,23,24,25,26,27,28) (29,30,31,32,33,34,35) (36,37,38,39,40,41,42) | |
| (1,42,13,26,18,31,2,36,14,27,19,32,3,37,8,28,20,33,4,38,9,22,21,34,5,39,10,23,15,35,6,40,11,24,16,29,7,41,12,25,17,30) |