Let M denote the generator matrix of the lattice. Suppose M is a 2 by 2
matrix.
sage: var('x', domain=ZZ);
sage: var('y', domain=ZZ);
sage: v=vector((x,y));
sage: f=(M*v).norm();minimize(f,[1,1])
But the output is
Warning: Maximum number of iterations has been exceeded
Current function value: 0.000000
Iterations: 400
Function evaluations: 804
Gradient evaluations: 804
(1.07117779258e-121, -7.20701845996e-121)
On Wednesday, September 5, 2012 7:31:48 PM UTC+8, David Loeffler wrote:
>
> > how can I get the minimum norm for the
> > ideal lattice (J,\alpha) using sage?
>
> What have you tried so far?
>
> David
>
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