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: | $2, 15, 16$ |
| 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.
9.27-1.0.3-27-27.6.1
| (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) | |
| (1,25,17,9,22,14,6,19,11,3,27,16,8,24,13,5,21,10,2,26,18,7,23,15,4,20,12) | |
| (1,11,21,4,14,24,7,17,27,2,12,19,5,15,22,8,18,25,3,10,20,6,13,23,9,16,26) |