Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_{26}$ |
| Group identifier: | $[26,2]$ |
| Signature: | $[ 0; 2, 13, 26 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 26$ |
| Jacobian variety group algebra decomposition: | $A_{6}$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,14) (2,15) (3,16) (4,17) (5,18) (6,19) (7,20) (8,21) (9,22) (10,23) (11,24) (12,25) (13,26) |
| Cyclic trigonal curve(s): | no |
| Equation(s) of curve(s) in this refined passport: |
| $y^2=x^{13}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.26-2.0.2-13-26.1.1
| (1,14) (2,15) (3,16) (4,17) (5,18) (6,19) (7,20) (8,21) (9,22) (10,23) (11,24) (12,25) (13,26) | |
| (1,2,3,4,5,6,7,8,9,10,11,12,13) (14,15,16,17,18,19,20,21,22,23,24,25,26) | |
| (1,26,12,24,10,22,8,20,6,18,4,16,2,14,13,25,11,23,9,21,7,19,5,17,3,15) |