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: | $2, 8, 18$ |
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.
6.26-2.0.2-13-26.6.1
(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) | |
(1,7,13,6,12,5,11,4,10,3,9,2,8) (14,20,26,19,25,18,24,17,23,16,22,15,21) | |
(1,21,2,22,3,23,4,24,5,25,6,26,7,14,8,15,9,16,10,17,11,18,12,19,13,20) |