Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2:C_9$ |
| Group identifier: | $[36,3]$ |
| Signature: | $[ 0; 6, 9, 9 ]$ |
| Conjugacy classes for this refined passport: | $5, 7, 10$ |
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}^{3}$ |
| Corresponding character(s): | $4, 11$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.36-3.0.6-9-9.1.1
| (1,6,9,2,5,10) (3,8,11,4,7,12) (13,18,21,14,17,22) (15,20,23,16,19,24) (25,30,33,26,29,34) (27,32,35,28,31,36) | |
| (1,13,25,5,17,29,9,21,33) (2,16,27,6,20,31,10,24,35) (3,14,28,7,18,32,11,22,36) (4,15,26,8,19,30,12,23,34) | |
| (1,30,16,9,26,24,5,34,20) (2,32,13,10,28,21,6,36,17) (3,31,15,11,27,23,7,35,19) (4,29,14,12,25,22,8,33,18) |