Summary

You searched for: sol=635716

Your search produced exactly one match

1

New Number: 8.67 |  AESZ:  |  Superseeker: -49/5 -5776/5  |  Hash: 807c6166f3d1991fadc5a93fdf4671e8  

Degree: 8

\(5^{2} \theta^4+5 x\left(477\theta^4+978\theta^3+769\theta^2+280\theta+40\right)-2^{2} x^{2}\left(46\theta^4-2582\theta^3-5689\theta^2-4120\theta-1040\right)+2^{2} x^{3}\left(772\theta^4-4872\theta^3-11765\theta^2-7335\theta-1480\right)+2^{4} 3 x^{4}\left(140\theta^4+500\theta^3-672\theta^2-1313\theta-512\right)-2^{6} x^{5}\left(31\theta^4+154\theta^3-596\theta^2-729\theta-227\right)+2^{7} x^{6}\left(32\theta^4-264\theta^3-500\theta^2-303\theta-58\right)+2^{8} x^{7}\left(12\theta^4+72\theta^3+121\theta^2+85\theta+22\right)-2^{12} x^{8}\left((\theta+1)^4\right)\)

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Coefficients of the holomorphic solution: 1, -8, 244, -11312, 635716, ...
--> OEIS
Normalized instanton numbers (n0=1): -49/5, 1441/20, -5776/5, 26480, -748058, ... ; Common denominator:...

Discriminant

\(-(z+1)(64z^3-48z^2-96z-1)(5-4z+8z^2)^2\)

Local exponents

\(-1\) ≈\(-0.899067\) ≈\(-0.010472\)\(0\)\(\frac{ 1}{ 4}-\frac{ 3}{ 4}I\)\(\frac{ 1}{ 4}+\frac{ 3}{ 4}I\) ≈\(1.659539\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)
\(1\)\(1\)\(1\)\(0\)\(3\)\(3\)\(1\)\(1\)
\(2\)\(2\)\(2\)\(0\)\(4\)\(4\)\(2\)\(1\)

Note:

This is operator "8.67" from ...

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