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: | $2, 8, 24$ |
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.
8.34-2.0.2-17-34.6.1
(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) | |
(1,7,13,2,8,14,3,9,15,4,10,16,5,11,17,6,12) (18,24,30,19,25,31,20,26,32,21,27,33,22,28,34,23,29) | |
(1,29,6,34,11,22,16,27,4,32,9,20,14,25,2,30,7,18,12,23,17,28,5,33,10,21,15,26,3,31,8,19,13,24) |