# Properties

 Label 6.26-2.0.2-13-26.8 Genus $$6$$ Quotient genus $$0$$ Group $$C_{26}$$ Signature $$[ 0; 2, 13, 26 ]$$ Generating Vectors $$1$$

# Related objects

## 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: $2, 10, 17$

 Jacobian variety group algebra decomposition: $A_{6}$ Corresponding character(s): $4$

## 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.

6.26-2.0.2-13-26.8.1

 (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) (1,9,4,12,7,2,10,5,13,8,3,11,6) (14,22,17,25,20,15,23,18,26,21,16,24,19) (1,19,11,16,8,26,5,23,2,20,12,17,9,14,6,24,3,21,13,18,10,15,7,25,4,22)