Family Information
Genus: | $14$ |
Quotient genus: | $0$ |
Group name: | $C_2\times C_6$ |
Group identifier: | $[12,5]$ |
Signature: | $[ 0; 2, 2, 2, 2, 2, 6, 6 ]$ |
Conjugacy classes for this refined passport: | $4, 4, 4, 4, 4, 8, 9$ |
Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{5}\times A_{5}$ |
Corresponding character(s): | $2, 3, 6, 7$ |
Other Data
Hyperelliptic curve(s): | yes |
Hyperelliptic involution: | (1,10) (2,11) (3,12) (4,7) (5,8) (6,9) |
Cyclic trigonal curve(s): | no |
Equation(s) of curve(s) in this refined passport: |
$y^2=x^{30}+a_{1}x^{24}+a_{2}x^{18}+a_{3}x^{12}+a_{4}x^{6}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.12-5.0.2-2-2-2-2-6-6.45.1
(1,10) (2,11) (3,12) (4,7) (5,8) (6,9) | |
(1,10) (2,11) (3,12) (4,7) (5,8) (6,9) | |
(1,10) (2,11) (3,12) (4,7) (5,8) (6,9) | |
(1,10) (2,11) (3,12) (4,7) (5,8) (6,9) | |
(1,10) (2,11) (3,12) (4,7) (5,8) (6,9) | |
(1,6,2,4,3,5) (7,12,8,10,9,11) | |
(1,8,3,7,2,9) (4,11,6,10,5,12) |