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: | $2, 7, 32$ |
| 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.
8.34-2.0.2-17-34.5.1
| (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) | |
| (1,6,11,16,4,9,14,2,7,12,17,5,10,15,3,8,13) (18,23,28,33,21,26,31,19,24,29,34,22,27,32,20,25,30) | |
| (1,30,8,20,15,27,5,34,12,24,2,31,9,21,16,28,6,18,13,25,3,32,10,22,17,29,7,19,14,26,4,33,11,23) |