# Properties

 Label 14.16-8.0.2-2-2-2-4-8.2 Genus $$14$$ Quotient genus $$0$$ Group $$\SD_{16}$$ Signature $$[ 0; 2, 2, 2, 2, 4, 8 ]$$ Generating Vectors $$1$$

# Related objects

## Family Information

 Genus: $14$ Quotient genus: $0$ Group name: $\SD_{16}$ Group identifier: $[16,8]$ Signature: $[ 0; 2, 2, 2, 2, 4, 8 ]$
 Conjugacy classes for this refined passport: $2, 2, 2, 3, 5, 7$

 Jacobian variety group algebra decomposition: $A_{7}^{2}$ Corresponding character(s): $6$

## Other Data

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

 Equation(s) of curve(s) in this refined passport:
 $y^2=x(x^{4}-1)(x^{8}+a_{1}x^{4}+1)(x^{8}+a_{2}x^{4}+1)(x^{8}+a_{3}x^{4}+1)$

## Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.16-8.0.2-2-2-2-4-8.2.1

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