Family Information
Genus: | $4$ |
Quotient genus: | $0$ |
Group name: | $C_{15}$ |
Group identifier: | $[15,1]$ |
Signature: | $[ 0; 3, 5, 15 ]$ |
Conjugacy classes for this refined passport: | $2, 7, 13$ |
Jacobian variety group algebra decomposition: | $A_{4}$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | yes |
Trigonal automorphism: | (1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) |
Equation(s) of curve(s) in this refined passport: |
$y^3 = x^5-1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.15-1.0.3-5-15.4.1
(1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) | |
(1,5,4,3,2) (6,10,9,8,7) (11,15,14,13,12) | |
(1,12,8,4,15,6,2,13,9,5,11,7,3,14,10) |