Summary

You searched for: inst=39744

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1

New Number: 12.2 |  AESZ:  |  Superseeker: 64 39744  |  Hash: b92032007ecbbf3af5801c4b1e4cf97a  

Degree: 12

\(\theta^4+2^{5} x\theta(4\theta^3-10\theta^2-6\theta-1)-2^{8} x^{2}\left(92\theta^4+248\theta^3+200\theta^2+228\theta+89\right)-2^{14} x^{3}\left(84\theta^4+336\theta^3+664\theta^2+132\theta-51\right)+2^{18} x^{4}\left(944\theta^4+1312\theta^3+8928\theta^2+7384\theta+2567\right)-2^{26} x^{5}\left(176\theta^4-1456\theta^3-3477\theta^2-3814\theta-1741\right)-2^{32} x^{6}\left(216\theta^4+1200\theta^3+576\theta^2+1314\theta+697\right)+2^{38} x^{7}\left(456\theta^4+624\theta^3-3085\theta^2-5590\theta-3089\right)-2^{43} x^{8}\left(176\theta^4-3616\theta^3-2404\theta^2-288\theta+1027\right)-2^{50} x^{9}\left(208\theta^4+1824\theta^3+2581\theta^2+1434\theta+73\right)+2^{57} x^{10}\left(122\theta^4-44\theta^3-718\theta^2-1005\theta-410\right)-2^{62} 5 x^{11}\left(4\theta^4-32\theta^3-145\theta^2-190\theta-82\right)-2^{66} 5^{2} x^{12}\left((2\theta+3)^4\right)\)

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Coefficients of the holomorphic solution: 1, 0, 1424, 13312, 4213008, ...
--> OEIS
Normalized instanton numbers (n0=1): 64, -692, 39744, -2001358, 95440576, ... ; Common denominator:...

Discriminant

\(-(-1+64z+4096z^2)(64z-1)^2(64z+1)^2(655360z^3-4096z^2+96z+1)^2\)

Local exponents

\(-\frac{ 1}{ 128}-\frac{ 1}{ 128}\sqrt{ 5}\)\(-\frac{ 1}{ 64}\) ≈\(-0.006598\)\(0\) ≈\(0.006424-0.013784I\) ≈\(0.006424+0.013784I\)\(-\frac{ 1}{ 128}+\frac{ 1}{ 128}\sqrt{ 5}\)\(\frac{ 1}{ 64}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 3}{ 2}\)
\(1\)\(0\)\(1\)\(0\)\(1\)\(1\)\(1\)\(\frac{ 1}{ 2}\)\(\frac{ 3}{ 2}\)
\(1\)\(1\)\(3\)\(0\)\(3\)\(3\)\(1\)\(\frac{ 1}{ 2}\)\(\frac{ 3}{ 2}\)
\(2\)\(1\)\(4\)\(0\)\(4\)\(4\)\(2\)\(1\)\(\frac{ 3}{ 2}\)

Note:

This is operator "12.2" from ...

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