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: | $5, 9, 33$ |
| 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.
15.42-6.0.6-7-42.3.1
| (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) | |
| (1,4,7,3,6,2,5) (8,11,14,10,13,9,12) (15,18,21,17,20,16,19) (22,25,28,24,27,23,26) (29,32,35,31,34,30,33) (36,39,42,38,41,37,40) | |
| (1,40,9,27,17,35,4,36,12,23,20,31,7,39,8,26,16,34,3,42,11,22,19,30,6,38,14,25,15,33,2,41,10,28,18,29,5,37,13,24,21,32) |