Summary

You searched for: Spectrum0=4,5,5,6

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1

New Number: 14.1 |  AESZ:  |  Superseeker: 0 0  |  Hash: a8cf56492aecc07971e82c9104785180  

Degree: 14

\(\theta^4-x\left(13\theta^4+14\theta^3+16\theta^2+9\theta+2\right)+x^{2}\left(33\theta^4-88\theta^3-265\theta^2-324\theta-148\right)+x^{3}\left(217\theta^4+2362\theta^3+6403\theta^2+8178\theta+4160\right)-2 x^{4}\left(677\theta^4+4134\theta^3+8089\theta^2+6210\theta+360\right)+2^{2} 3 x^{5}\left(151\theta^4-1266\theta^3-11610\theta^2-28955\theta-25110\right)+2^{2} x^{6}\left(1895\theta^4+37302\theta^3+176991\theta^2+355848\theta+268836\right)-2^{2} x^{7}\left(9635\theta^4+89170\theta^3+185885\theta^2-107394\theta-522464\right)+2^{3} x^{8}\left(5907\theta^4-10636\theta^3-416125\theta^2-1666326\theta-2051920\right)+2^{5} x^{9}\left(2947\theta^4+80284\theta^3+519934\theta^2+1328475\theta+1205150\right)-2^{6} x^{10}\left(6122\theta^4+84852\theta^3+397555\theta^2+722745\theta+356430\right)+2^{6} 3 x^{11}\left(2259\theta^4+13398\theta^3-46549\theta^2-456244\theta-796656\right)+2^{7} 3^{2} x^{12}(\theta+4)(371\theta^3+8580\theta^2+53325\theta+101564)-2^{10} 3^{3} x^{13}(\theta+4)(\theta+5)(51\theta^2+519\theta+1330)+2^{11} 3^{4} 5 x^{14}(\theta+4)(\theta+5)^2(\theta+6)\)

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Coefficients of the holomorphic solution: 1, 2, 16, 48, 264, ...
--> OEIS
Normalized instanton numbers (n0=1): 0, 1/4, 0, -1/2, 0, ... ; Common denominator:...

Discriminant

\((z-1)(6z-1)(4z-1)(3z+1)(4z+1)(5z-1)(2z+1)^2(2z-1)^2(6z^2-2z+1)^2\)

Local exponents

\(-\frac{ 1}{ 2}\)\(-\frac{ 1}{ 3}\)\(-\frac{ 1}{ 4}\)\(0\)\(\frac{ 1}{ 6}-\frac{ 1}{ 6}\sqrt{ 5}I\)\(\frac{ 1}{ 6}\)\(\frac{ 1}{ 6}+\frac{ 1}{ 6}\sqrt{ 5}I\)\(\frac{ 1}{ 5}\)\(\frac{ 1}{ 4}\)\(\frac{ 1}{ 2}\)\(1\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(4\)
\(0\)\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)\(1\)\(0\)\(1\)\(5\)
\(-1\)\(1\)\(1\)\(0\)\(3\)\(1\)\(3\)\(1\)\(1\)\(-1\)\(1\)\(5\)
\(1\)\(2\)\(2\)\(0\)\(4\)\(2\)\(4\)\(2\)\(2\)\(1\)\(2\)\(6\)

Note:

This is operator "14.1" from ...

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