Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_5\times S_3$ |
| Group identifier: | $[30,1]$ |
| Signature: | $[ 0; 10, 10, 15 ]$ |
| Conjugacy classes for this refined passport: | $8, 9, 12$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $3, 4, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.30-1.0.10-10-15.2.1
| (1,19,7,25,13,16,4,22,10,28) (2,21,8,27,14,18,5,24,11,30) (3,20,9,26,15,17,6,23,12,29) | |
| (1,27,4,30,7,18,10,21,13,24) (2,26,5,29,8,17,11,20,14,23) (3,25,6,28,9,16,12,19,15,22) | |
| (1,5,9,10,14,3,4,8,12,13,2,6,7,11,15) (16,20,24,25,29,18,19,23,27,28,17,21,22,26,30) |