Summary

You searched for: sol=-1025424441

Your search produced exactly one match

1

New Number: 7.21 |  AESZ:  |  Superseeker: 90 413926  |  Hash: f2cdf32038c22a3da2f5752ad59eaa27  

Degree: 7

\(\theta^4-3^{2} x\left(27\theta^4+216\theta^3+234\theta^2+126\theta+28\right)-3^{6} x^{2}\left(75\theta^4-672\theta^3-2378\theta^2-2602\theta-1076\right)+3^{9} x^{3}\left(1843\theta^4+6360\theta^3-2836\theta^2-13692\theta-9828\right)-3^{14} x^{4}\left(373\theta^4+9344\theta^3+16396\theta^2+10260\theta+540\right)-3^{19} x^{5}\left(875\theta^4+152\theta^3-6794\theta^2-11462\theta-5400\right)+3^{26} x^{6}\left(71\theta^4+480\theta^3+1218\theta^2+1386\theta+600\right)+3^{33} x^{7}\left((\theta+2)^4\right)\)

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Coefficients of the holomorphic solution: 1, 252, 40419, 2460816, -1025424441, ...
--> OEIS
Normalized instanton numbers (n0=1): 90, -4365, 413926, -38862153, 4502063682, ... ; Common denominator:...

Discriminant

\((1+27z)(243z+1)^2(59049z^2-378z+1)^2\)

Local exponents

\(-\frac{ 1}{ 27}\)\(-\frac{ 1}{ 243}\)\(0\)\(\frac{ 7}{ 2187}-\frac{ 4}{ 2187}\sqrt{ 2}I\)\(\frac{ 7}{ 2187}+\frac{ 4}{ 2187}\sqrt{ 2}I\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(2\)
\(1\)\(1\)\(0\)\(-\frac{ 1}{ 2}\)\(-\frac{ 1}{ 2}\)\(2\)
\(1\)\(3\)\(0\)\(1\)\(1\)\(2\)
\(2\)\(4\)\(0\)\(\frac{ 3}{ 2}\)\(\frac{ 3}{ 2}\)\(2\)

Note:

This is operator "7.21" from ...

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