Summary

You searched for: inst=-21270

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1

New Number: 11.5 |  AESZ:  |  Superseeker: -32 608  |  Hash: f5f2274632f5544ebf559c6c512159d1  

Degree: 11

\(\theta^4-2^{4} x\theta(7\theta^3-10\theta^2-6\theta-1)+2^{8} x^{2}\left(23\theta^4+68\theta^3+151\theta^2+58\theta+7\right)-2^{13} x^{3}\left(151\theta^4+708\theta^3+927\theta^2+573\theta+138\right)+2^{17} x^{4}\left(780\theta^4+3402\theta^3+6391\theta^2+4237\theta+1031\right)-2^{22} x^{5}\left(493\theta^4+3499\theta^3+6750\theta^2+5338\theta+1478\right)+2^{26} x^{6}\left(527\theta^4+660\theta^3-1166\theta^2-393\theta+19\right)-2^{30} x^{7}\left(2351\theta^4+4852\theta^3-10675\theta^2-13950\theta-4607\right)+2^{34} x^{8}\left(1727\theta^4+11666\theta^3+13271\theta^2+3012\theta-665\right)-2^{39} x^{9}\left(181\theta^4-4344\theta^3-3827\theta^2-648\theta+239\right)+2^{44} 5 x^{10}\left(197\theta^4+370\theta^3+247\theta^2+62\theta+3\right)-2^{49} 5^{2} x^{11}\left((\theta+1)^4\right)\)

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Coefficients of the holomorphic solution: 1, 0, -112, 13824, -136944, ...
--> OEIS
Normalized instanton numbers (n0=1): -32, -616, 608, -21270, -15181664, ... ; Common denominator:...

Discriminant

\(-(-1-80z-9984z^2+8192z^3)(32z-1)^2(40960z^3+1024z^2+64z-1)^2\)

Local exponents

≈\(-0.018565-0.040844I\) ≈\(-0.018565+0.040844I\) ≈\(-0.004021-0.009129I\) ≈\(-0.004021+0.009129I\)\(0\) ≈\(0.012129\)\(\frac{ 1}{ 32}\) ≈\(1.226791\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(1\)\(1\)\(0\)\(1\)\(\frac{ 1}{ 2}\)\(1\)\(1\)
\(3\)\(3\)\(1\)\(1\)\(0\)\(3\)\(\frac{ 1}{ 2}\)\(1\)\(1\)
\(4\)\(4\)\(2\)\(2\)\(0\)\(4\)\(1\)\(2\)\(1\)

Note:

This is operator "11.5" from ...

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