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: | $2, 14, 15$ |
| 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.
6.26-2.0.2-13-26.12.1
| (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) | |
| (1,13,12,11,10,9,8,7,6,5,4,3,2) (14,26,25,24,23,22,21,20,19,18,17,16,15) | |
| (1,15,3,17,5,19,7,21,9,23,11,25,13,14,2,16,4,18,6,20,8,22,10,24,12,26) |