Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_5\times S_3$ |
| Group identifier: | $[30,1]$ |
| Signature: | $[ 0; 2, 2, 5, 15 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 5, 15$ |
| Jacobian variety group algebra decomposition: | $A_{4}\times A_{4}^{2}$ |
| Corresponding character(s): | $3, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.30-1.0.2-2-5-15.2.1
| (1,16) (2,18) (3,17) (4,19) (5,21) (6,20) (7,22) (8,24) (9,23) (10,25) (11,27) (12,26) (13,28) (14,30) (15,29) | |
| (1,18) (2,17) (3,16) (4,21) (5,20) (6,19) (7,24) (8,23) (9,22) (10,27) (11,26) (12,25) (13,30) (14,29) (15,28) | |
| (1,7,13,4,10) (2,8,14,5,11) (3,9,15,6,12) (16,22,28,19,25) (17,23,29,20,26) (18,24,30,21,27) | |
| (1,11,6,13,8,3,10,5,15,7,2,12,4,14,9) (16,26,21,28,23,18,25,20,30,22,17,27,19,29,24) |