Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:C_{12}$ |
| Group identifier: | $[36,6]$ |
| Signature: | $[ 0; 4, 6, 12 ]$ |
| Conjugacy classes for this refined passport: | $8, 13, 16$ |
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times A_{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $3, 7, 9, 14, 17$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.36-6.0.4-6-12.1.1
| (1,19,4,22) (2,21,5,24) (3,20,6,23) (7,25,10,28) (8,27,11,30) (9,26,12,29) (13,31,16,34) (14,33,17,36) (15,32,18,35) | |
| (1,11,15,4,8,18) (2,12,13,5,9,16) (3,10,14,6,7,17) (19,29,33,22,26,36) (20,30,31,23,27,34) (21,28,32,24,25,35) | |
| (1,32,10,23,13,26,4,35,7,20,16,29) (2,31,11,22,14,25,5,34,8,19,17,28) (3,33,12,24,15,27,6,36,9,21,18,30) |