Family Information
Genus: | $15$ |
Quotient genus: | $0$ |
Group name: | $C_{12}$ |
Group identifier: | $[12,2]$ |
Signature: | $[ 0; 2, 2, 2, 2, 2, 12, 12 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 2, 2, 2, 9, 10$ |
Jacobian variety group algebra decomposition: | $A_{5}\times A_{10}$ |
Other Data
Hyperelliptic curve(s): | yes |
Hyperelliptic involution: | (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) |
Cyclic trigonal curve(s): | no |
Equation(s) of curve(s) in this refined passport: |
$y^2=x(x^{30}+a_{1}x^{24}+a_{2}x^{18}+a_{3}x^{12}+a_{4}x^{6}+1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.12-2.0.2-2-2-2-2-12-12.1.1
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) | |
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) | |
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) | |
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) | |
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) | |
(1,9,6,8,3,11,2,10,5,7,4,12) | |
(1,11,4,8,5,9,2,12,3,7,6,10) |