Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_{34}$ |
| Group identifier: | $[34,2]$ |
| Signature: | $[ 0; 2, 17, 34 ]$ |
| Conjugacy classes for this refined passport: | $2, 17, 27$ |
| Jacobian variety group algebra decomposition: | $A_{8}$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,18) (2,19) (3,20) (4,21) (5,22) (6,23) (7,24) (8,25) (9,26) (10,27) (11,28) (12,29) (13,30) (14,31) (15,32) (16,33) (17,34) |
| Cyclic trigonal curve(s): | no |
| Equation(s) of curve(s) in this refined passport: |
| $y^2=x^{17}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.34-2.0.2-17-34.15.1
| (1,18) (2,19) (3,20) (4,21) (5,22) (6,23) (7,24) (8,25) (9,26) (10,27) (11,28) (12,29) (13,30) (14,31) (15,32) (16,33) (17,34) | |
| (1,16,14,12,10,8,6,4,2,17,15,13,11,9,7,5,3) (18,33,31,29,27,25,23,21,19,34,32,30,28,26,24,22,20) | |
| (1,20,5,24,9,28,13,32,17,19,4,23,8,27,12,31,16,18,3,22,7,26,11,30,15,34,2,21,6,25,10,29,14,33) |