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: | $2, 14, 21$ |
| 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.
8.34-2.0.2-17-34.12.1
| (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) | |
| (1,13,8,3,15,10,5,17,12,7,2,14,9,4,16,11,6) (18,30,25,20,32,27,22,34,29,24,19,31,26,21,33,28,23) | |
| (1,23,11,33,4,26,14,19,7,29,17,22,10,32,3,25,13,18,6,28,16,21,9,31,2,24,12,34,5,27,15,20,8,30) |