Summary

You searched for: superseeker=240,31333936

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1

New Number: 11.21 |  AESZ:  |  Superseeker: 240 31333936  |  Hash: 9a8c2dbc999179b3ef13a33cce17dc01  

Degree: 11

\(\theta^4+2^{4} x\left(335\theta^4+70\theta^3+75\theta^2+40\theta+7\right)+2^{11} x^{2}\left(4885\theta^4+4507\theta^3+4770\theta^2+1651\theta+240\right)+2^{16} x^{3}\left(106051\theta^4+301032\theta^3+290379\theta^2+130248\theta+23977\right)+2^{23} x^{4}\left(17380\theta^4+1431056\theta^3+2138970\theta^2+1097984\theta+219987\right)-2^{30} x^{5}\left(1338547\theta^4+865636\theta^3-4612410\theta^2-3296300\theta-790107\right)-2^{38} 3 x^{6}\left(286602\theta^4+1841398\theta^3+732557\theta^2+4912\theta-68177\right)+2^{46} x^{7}\left(1139565\theta^4+743394\theta^3+2546745\theta^2+2056464\theta+544276\right)+2^{56} x^{8}\left(129366\theta^4+43782\theta^3-112971\theta^2-122400\theta-32357\right)+2^{64} x^{9}\left(4615\theta^4-38262\theta^3-45525\theta^2-15420\theta-820\right)-2^{75} x^{10}\left(278\theta^4+718\theta^3+795\theta^2+436\theta+97\right)-2^{86} x^{11}\left((\theta+1)^4\right)\)

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Coefficients of the holomorphic solution: 1, -112, 28304, -9202432, 3381592336, ...
--> OEIS
Normalized instanton numbers (n0=1): 240, -95082, 31333936, -15748488666, 8901200955216, ... ; Common denominator:...

Discriminant

\(-(512z+1)(8192z^2+1136z+1)(16384z^2-512z-1)(-1-1600z+442368z^2+33554432z^3)^2\)

Local exponents

\(-\frac{ 71}{ 1024}-\frac{ 17}{ 1024}\sqrt{ 17}\) ≈\(-0.01604\)\(-\frac{ 1}{ 512}\)\(\frac{ 1}{ 64}-\frac{ 1}{ 128}\sqrt{ 5}\)\(-\frac{ 71}{ 1024}+\frac{ 17}{ 1024}\sqrt{ 17}\) ≈\(-0.000546\)\(0\) ≈\(0.003403\)\(\frac{ 1}{ 64}+\frac{ 1}{ 128}\sqrt{ 5}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(1\)\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)
\(1\)\(3\)\(1\)\(1\)\(1\)\(3\)\(0\)\(3\)\(1\)\(1\)
\(2\)\(4\)\(2\)\(2\)\(2\)\(4\)\(0\)\(4\)\(2\)\(1\)

Note:

This is operator "11.21" from ...

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