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researchv10 Dan Cross

scale = s(m);
sm = s(m)/scale; smm1 = s(m-1)/scale; emm1 = e(m-1)/scale;
sl = s(l)/scale; el = e(l)/scale;
b = ((smm1 + sm)*(smm1 - sm) + emm1**2)/2;
c = (sm*emm1)**2;
shift = sqrt(b**2+c); if b < 0, shift = -shift;
shift = c/(b + shift)
f = (sl + sm)*(sl-sm) - shift
g = sl*el
for k = l: m-1, exec('qrstep',ip)
e(m-1) = f

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