Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_{27}$ |
| Group identifier: | $[27,1]$ |
| Signature: | $[ 0; 3, 27, 27 ]$ |
| Conjugacy classes for this refined passport: | $2, 12, 19$ |
| Jacobian variety group algebra decomposition: | $A_{9}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) (25,26,27) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.27-1.0.3-27-27.3.1
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) (25,26,27) | |
| (1,13,25,5,17,21,9,10,22,2,14,26,6,18,19,7,11,23,3,15,27,4,16,20,8,12,24) | |
| (1,23,10,8,19,17,4,26,13,3,22,12,7,21,16,6,25,15,2,24,11,9,20,18,5,27,14) |