# Properties

 Label 14.20-5.0.2-2-2-10-10.42 Genus $$14$$ Quotient genus $$0$$ Group $$C_2\times C_{10}$$ Signature $$[ 0; 2, 2, 2, 10, 10 ]$$ Generating Vectors $$1$$

# Related objects

## Family Information

 Genus: $14$ Quotient genus: $0$ Group name: $C_2\times C_{10}$ Group identifier: $[20,5]$ Signature: $[ 0; 2, 2, 2, 10, 10 ]$
 Conjugacy classes for this refined passport: $4, 4, 4, 12, 13$

 Jacobian variety group algebra decomposition: $E\times E\times A_{6}\times A_{6}$ Corresponding character(s): $2, 3, 6, 7$

## Other Data

 Hyperelliptic curve(s): yes Hyperelliptic involution: (1,16) (2,17) (3,18) (4,19) (5,20) (6,11) (7,12) (8,13) (9,14) (10,15) Cyclic trigonal curve(s): no

 Equation(s) of curve(s) in this refined passport:
 $y^2=x^{30}+a_{1}x^{20}+a_{2}x^{10}+1$

## Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.20-5.0.2-2-2-10-10.42.1

 (1,16) (2,17) (3,18) (4,19) (5,20) (6,11) (7,12) (8,13) (9,14) (10,15) (1,16) (2,17) (3,18) (4,19) (5,20) (6,11) (7,12) (8,13) (9,14) (10,15) (1,16) (2,17) (3,18) (4,19) (5,20) (6,11) (7,12) (8,13) (9,14) (10,15) (1,10,4,8,2,6,5,9,3,7) (11,20,14,18,12,16,15,19,13,17) (1,12,3,14,5,11,2,13,4,15) (6,17,8,19,10,16,7,18,9,20)