Family Information
Genus: | $14$ |
Quotient genus: | $0$ |
Group name: | $C_2\times C_{10}$ |
Group identifier: | $[20,5]$ |
Signature: | $[ 0; 2, 2, 2, 10, 10 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 2, 16, 17$ |
Jacobian variety group algebra decomposition: | $E\times E\times A_{6}\times A_{6}$ |
Corresponding character(s): | $3, 4, 7, 8$ |
Other Data
Hyperelliptic curve(s): | yes |
Hyperelliptic involution: | (1,6) (2,7) (3,8) (4,9) (5,10) (11,16) (12,17) (13,18) (14,19) (15,20) |
Cyclic trigonal curve(s): | no |
Equation(s) of curve(s) in this refined passport: |
$y^2=x^{30}+a_{1}x^{20}+a_{2}x^{10}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.20-5.0.2-2-2-10-10.4.1
(1,6) (2,7) (3,8) (4,9) (5,10) (11,16) (12,17) (13,18) (14,19) (15,20) | |
(1,6) (2,7) (3,8) (4,9) (5,10) (11,16) (12,17) (13,18) (14,19) (15,20) | |
(1,6) (2,7) (3,8) (4,9) (5,10) (11,16) (12,17) (13,18) (14,19) (15,20) | |
(1,15,4,13,2,11,5,14,3,12) (6,20,9,18,7,16,10,19,8,17) | |
(1,17,3,19,5,16,2,18,4,20) (6,12,8,14,10,11,7,13,9,15) |