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: | $2, 24, 25$ |
| 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.
9.27-1.0.3-27-27.9.1
| (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) | |
| (1,15,26,5,16,19,9,12,23,2,13,27,6,17,20,7,10,24,3,14,25,4,18,21,8,11,22) | |
| (1,24,12,8,20,16,4,27,15,3,23,11,7,19,18,6,26,14,2,22,10,9,21,17,5,25,13) |