Kronecker symbol

[Jack Fearnley <jackfe@sympatico.ca>]

I have been having some trouble with kronecker(x,y) which is described in the 
documentation as a generalization of the Legendre symbol (x|y).  I was 
expecting kronecker to behave like a Dirichlet character.  In particular, I 
expected kronecker(3,4) to equal -1 whereas it computes as 1.

I have two questions:

1) What is the precise definition of kronecker in Pari? 

2) Is there a quick and easy way to generate quadratic Dirichlet characters in 
Pari?

2a) What about higher order Dirichlet characters?

Best Regards,
		Jack Fearnley