tr(v)=if (v>=0, 1+2*v, -2*v)
big = 100000
s = []
S = []
seen(z)=my (x=tr(real(z)),y=tr(imag(z)));if (max(x,y)>big, setsearch(S,z), x>#s, 0, bittest(s[x],y))
see(z)=my (x=tr(real(z)),y=tr(imag(z)));if (max(x,y)>big, S=setunion(S,Set(z)); return, x>#s, s=concat(s,vector(x-#s))); s[x]=bitor(s[x],2^y)

\\ knight moves
moves = concat(apply(k -> [2+I,2-I]*I^k, [0..3]))

compute(n) = {
	if (n==1,
			z=0,
	    n==2,
			z=2+I,
			my (best=oo);
			for (k=1, #moves,
				my (zz=z+moves[k]);
				if (!seen(zz),
					if (best==oo
					    || norm(best)>norm(zz)
						|| (norm(best)==norm(zz) && imag(zz/z)>0),
						best = zz;
					)
				);
			);
			if (best==oo,
				quit,
				z = best
			);
	);
	see(z);
	return (z);
}

for (n=1, oo, z=compute(n); print (n " " real(z)))

quit