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: | $2, 7, 24$ |
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.
6.26-2.0.2-13-26.5.1
(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) | |
(1,6,11,3,8,13,5,10,2,7,12,4,9) (14,19,24,16,21,26,18,23,15,20,25,17,22) | |
(1,22,4,25,7,15,10,18,13,21,3,24,6,14,9,17,12,20,2,23,5,26,8,16,11,19) |