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: | $2, 5, 25$ |
| 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.
6.26-2.0.2-13-26.3.1
| (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) | |
| (1,4,7,10,13,3,6,9,12,2,5,8,11) (14,17,20,23,26,16,19,22,25,15,18,21,24) | |
| (1,24,8,18,2,25,9,19,3,26,10,20,4,14,11,21,5,15,12,22,6,16,13,23,7,17) |