Summary

You searched for: inst=-50

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1

New Number: 5.128 |  AESZ:  |  Superseeker: -50 -20600  |  Hash: 5a0123bd26e43e2fd9c7e6c3d21a2a33  

Degree: 5

\(\theta^4+2 5 x\left(60\theta^3+45\theta^2+15\theta+2\right)-2^{2} 5^{4} x^{2}\left(8\theta^4+8\theta^3-29\theta^2-20\theta-4\right)-2^{4} 5^{5} x^{3}\left(16\theta^4+216\theta^3+288\theta^2+147\theta+26\right)+2^{6} 5^{7} x^{4}(13\theta^2+37\theta+27)(2\theta+1)^2-2^{8} 5^{9} x^{5}(2\theta+1)^2(2\theta+3)^2\)

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Coefficients of the holomorphic solution: 1, -20, 900, -38000, 122500, ...
--> OEIS
Normalized instanton numbers (n0=1): -50, -1675/2, -20600, -1433000, -408984396/5, ... ; Common denominator:...

Discriminant

\(-(800000z^3-10000z^2-200z-1)(-1+100z)^2\)

Local exponents

≈\(-0.006091-0.003681I\) ≈\(-0.006091+0.003681I\)\(0\)\(\frac{ 1}{ 100}\) ≈\(0.024681\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(1\)\(1\)\(0\)\(1\)\(1\)\(\frac{ 1}{ 2}\)
\(1\)\(1\)\(0\)\(3\)\(1\)\(\frac{ 3}{ 2}\)
\(2\)\(2\)\(0\)\(4\)\(2\)\(\frac{ 3}{ 2}\)

Note:

This is operator "5.128" from ...

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