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: | $2, 4, 26$ |
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.
8.34-2.0.2-17-34.2.1
(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) | |
(1,3,5,7,9,11,13,15,17,2,4,6,8,10,12,14,16) (18,20,22,24,26,28,30,32,34,19,21,23,25,27,29,31,33) | |
(1,33,14,29,10,25,6,21,2,34,15,30,11,26,7,22,3,18,16,31,12,27,8,23,4,19,17,32,13,28,9,24,5,20) |