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: | $2, 6, 25$ |
| 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.
8.34-2.0.2-17-34.4.1
| (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) | |
| (1,5,9,13,17,4,8,12,16,3,7,11,15,2,6,10,14) (18,22,26,30,34,21,25,29,33,20,24,28,32,19,23,27,31) | |
| (1,31,10,23,2,32,11,24,3,33,12,25,4,34,13,26,5,18,14,27,6,19,15,28,7,20,16,29,8,21,17,30,9,22) |