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: | $4, 4, 4, 9, 16$ |
| Jacobian variety group algebra decomposition: | $E\times E\times A_{6}\times A_{6}$ |
| Corresponding character(s): | $2, 3, 6, 7$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,16) (2,17) (3,18) (4,19) (5,20) (6,11) (7,12) (8,13) (9,14) (10,15) |
| 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.
14.20-5.0.2-2-2-10-10.39.1
| (1,16) (2,17) (3,18) (4,19) (5,20) (6,11) (7,12) (8,13) (9,14) (10,15) | |
| (1,16) (2,17) (3,18) (4,19) (5,20) (6,11) (7,12) (8,13) (9,14) (10,15) | |
| (1,16) (2,17) (3,18) (4,19) (5,20) (6,11) (7,12) (8,13) (9,14) (10,15) | |
| (1,7,3,9,5,6,2,8,4,10) (11,17,13,19,15,16,12,18,14,20) | |
| (1,15,4,13,2,11,5,14,3,12) (6,20,9,18,7,16,10,19,8,17) |