Family Information
Genus: | 5 |
Quotient Genus: | 0 |
Group name: | $C_2^3$ |
Group identifier: | [8,5] |
Signature: | $[ 0; 2, 2, 2, 2, 2, 2 ]$ |
Conjugacy classes for this refined passport: | 2, 4, 4, 4, 6, 8 |
Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}$ |
Corresponding character(s): | 3, 4, 7, 8 |
Other Data
Hyperelliptic curve(s): | Yes |
Hyperelliptic involution: | (1,4) (2,3) (5,8) (6,7) |
Cyclic trigonal curve(s): | No |
Equation(s) of curve(s) in this refined passport: |
$y^2=(x^{4}+a_{1}x^{2}+1)(x^{4}+a_{2}x^{2}+1)(x^{4}+a_{3}x^{2}+1)$ |
Generating Vector(s)
Displaying the unique generating vector for this refined passport.
5.8-5.0.2-2-2-2-2-2.35.1
(1,2) (3,4) (5,6) (7,8) | |
(1,4) (2,3) (5,8) (6,7) | |
(1,4) (2,3) (5,8) (6,7) | |
(1,4) (2,3) (5,8) (6,7) | |
(1,6) (2,5) (3,8) (4,7) | |
(1,8) (2,7) (3,6) (4,5) |