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: | $3, 3, 3, 12, 17$ |
| Jacobian variety group algebra decomposition: | $E\times E\times A_{6}\times A_{6}$ |
| Corresponding character(s): | $2, 4, 6, 8$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,11) (2,12) (3,13) (4,14) (5,15) (6,16) (7,17) (8,18) (9,19) (10,20) |
| 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.
14.20-5.0.2-2-2-10-10.30.1
| (1,11) (2,12) (3,13) (4,14) (5,15) (6,16) (7,17) (8,18) (9,19) (10,20) | |
| (1,11) (2,12) (3,13) (4,14) (5,15) (6,16) (7,17) (8,18) (9,19) (10,20) | |
| (1,11) (2,12) (3,13) (4,14) (5,15) (6,16) (7,17) (8,18) (9,19) (10,20) | |
| (1,10,4,8,2,6,5,9,3,7) (11,20,14,18,12,16,15,19,13,17) | |
| (1,17,3,19,5,16,2,18,4,20) (6,12,8,14,10,11,7,13,9,15) |