Summary

You searched for: sol=3944556

Your search produced exactly one match

1

New Number: 11.4 |  AESZ:  |  Superseeker: 116/5 29628/5  |  Hash: 4222cdacde3dbaf06ed32adadb70f0d6  

Degree: 11

\(5^{2} \theta^4-2^{2} 5 x\left(197\theta^4+418\theta^3+319\theta^2+110\theta+15\right)+2^{4} x^{2}\left(181\theta^4+5068\theta^3+10291\theta^2+6750\theta+1585\right)-2^{6} x^{3}\left(1727\theta^4-4758\theta^3-11365\theta^2-4560\theta-345\right)+2^{9} x^{4}\left(2351\theta^4+4552\theta^3-11125\theta^2-12552\theta-3833\right)-2^{12} x^{5}\left(527\theta^4+1448\theta^3+16\theta^2-1811\theta-887\right)+2^{15} x^{6}\left(493\theta^4-1527\theta^3-789\theta^2-363\theta-116\right)-2^{17} x^{7}\left(780\theta^4-282\theta^3+865\theta^2+1459\theta+563\right)+2^{20} x^{8}\left(151\theta^4-104\theta^3-291\theta^2-239\theta-65\right)-2^{22} x^{9}\left(23\theta^4+24\theta^3+85\theta^2+132\theta+55\right)+2^{25} x^{10}(\theta+1)(7\theta^3+31\theta^2+35\theta+12)-2^{28} x^{11}\left((\theta+1)^4\right)\)

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Coefficients of the holomorphic solution: 1, 12, 572, 42960, 3944556, ...
--> OEIS
Normalized instanton numbers (n0=1): 116/5, 1059/5, 29628/5, 2227181/10, 51562768/5, ... ; Common denominator:...

Discriminant

\(-(-1+156z+160z^2+256z^3)(4z-1)^2(256z^3-128z^2-16z-5)^2\)

Local exponents

≈\(-0.315684-0.716756I\) ≈\(-0.315684+0.716756I\) ≈\(-0.072055-0.158527I\) ≈\(-0.072055+0.158527I\)\(0\) ≈\(0.006368\)\(\frac{ 1}{ 4}\) ≈\(0.64411\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(1\)\(1\)\(0\)\(1\)\(\frac{ 1}{ 2}\)\(1\)\(1\)
\(1\)\(1\)\(3\)\(3\)\(0\)\(1\)\(\frac{ 1}{ 2}\)\(3\)\(1\)
\(2\)\(2\)\(4\)\(4\)\(0\)\(2\)\(1\)\(4\)\(1\)

Note:

This is operator "11.4" from ...

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