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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