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: | $2, 11, 20$ |
| 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.
9.27-1.0.3-27-27.2.1
| (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) | |
| (1,19,13,7,25,11,5,23,17,3,21,15,9,27,10,4,22,16,2,20,14,8,26,12,6,24,18) | |
| (1,17,22,6,11,27,8,13,21,2,18,23,4,12,25,9,14,19,3,16,24,5,10,26,7,15,20) |