Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_{22}$ |
| Group identifier: | $[22,2]$ |
| Signature: | $[ 0; 2, 11, 22 ]$ |
| Conjugacy classes for this refined passport: | $2, 7, 20$ |
| Jacobian variety group algebra decomposition: | $A_{5}$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,12) (2,13) (3,14) (4,15) (5,16) (6,17) (7,18) (8,19) (9,20) (10,21) (11,22) |
| Cyclic trigonal curve(s): | no |
| Equation(s) of curve(s) in this refined passport: |
| $y^2=x^{11}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.22-2.0.2-11-22.5.1
| (1,12) (2,13) (3,14) (4,15) (5,16) (6,17) (7,18) (8,19) (9,20) (10,21) (11,22) | |
| (1,6,11,5,10,4,9,3,8,2,7) (12,17,22,16,21,15,20,14,19,13,18) | |
| (1,18,2,19,3,20,4,21,5,22,6,12,7,13,8,14,9,15,10,16,11,17) |