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: | $2, 16, 20$ |
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.
8.34-2.0.2-17-34.14.1
(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) | |
(1,15,12,9,6,3,17,14,11,8,5,2,16,13,10,7,4) (18,32,29,26,23,20,34,31,28,25,22,19,33,30,27,24,21) | |
(1,21,7,27,13,33,2,22,8,28,14,34,3,23,9,29,15,18,4,24,10,30,16,19,5,25,11,31,17,20,6,26,12,32) |