# Properties

 Label 14.20-4.0.2-2-2-2-2-5.2 Genus $$14$$ Quotient genus $$0$$ Group $$D_{10}$$ Signature $$[ 0; 2, 2, 2, 2, 2, 5 ]$$ Generating Vectors $$1$$

# Related objects

## Family Information

 Genus: $14$ Quotient genus: $0$ Group name: $D_{10}$ Group identifier: $[20,4]$ Signature: $[ 0; 2, 2, 2, 2, 2, 5 ]$
 Conjugacy classes for this refined passport: $2, 2, 2, 3, 4, 6$

 Jacobian variety group algebra decomposition: $E\times E\times A_{6}^{2}$ Corresponding character(s): $3, 4, 5$

## Other Data

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

 Equation(s) of curve(s) in this refined passport:
 $y^2=(x^{10}+a_{1}x^{5}+1)(x^{10}+a_{2}x^{5}+1)(x^{10}+a_{3}x^{5}+1)$

## Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.20-4.0.2-2-2-2-2-5.2.1

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