Bill Allombert on Sun, 03 Jul 2016 21:45:18 +0200


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non-self L functions and L functions of lattices


Dear PARI developers,

We added support for non-self-dual L functions and for L functions
of non-self dual lattices.

For example for D8:

D8={
[2,-1,0,0,0,0,0,0;
-1,2,-1,0,0,0,0,0;
0,-1,2,-1,0,0,0,0;
0,0,-1,2,-1,0,0,0;
0,0,0,-1,2,-1,0,0;
0,0,0,0,-1,2,-1,-1;
0,0,0,0,0,-1,2,0;
0,0,0,0,0,-1,0,2];
}
L=lfunqf(D8);
lfuncheckfeq(L)
%3 = -124
lfun(L,2)+2*Pi^2
%4 = 0.E-37

Cheers,
Bill.