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: | $2, 3, 34$ |
| 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.
8.34-2.0.2-17-34.1.1
| (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) | |
| (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17) (18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34) | |
| (1,34,16,32,14,30,12,28,10,26,8,24,6,22,4,20,2,18,17,33,15,31,13,29,11,27,9,25,7,23,5,21,3,19) |