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: | $2, 9, 31$ |
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.
8.34-2.0.2-17-34.7.1
(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) | |
(1,8,15,5,12,2,9,16,6,13,3,10,17,7,14,4,11) (18,25,32,22,29,19,26,33,23,30,20,27,34,24,31,21,28) | |
(1,28,4,31,7,34,10,20,13,23,16,26,2,29,5,32,8,18,11,21,14,24,17,27,3,30,6,33,9,19,12,22,15,25) |