Summary

You searched for: inst=-3316

Your search produced exactly one match

1

New Number: 11.1 |  AESZ:  |  Superseeker: -4 550/3  |  Hash: 9e36d74a520997fe52f0cbbfafae6aaf  

Degree: 11

\(\theta^4+x\left(6+38\theta+96\theta^2+116\theta^3+91\theta^4\right)+x^{2}\left(1218+5950\theta+11076\theta^2+9388\theta^3+3649\theta^4\right)+x^{3}\left(32814+148542\theta+258070\theta^2+203832\theta^3+63585\theta^4\right)+2 x^{4}\left(244543\theta^4+938432\theta^3+1417427\theta^2+933049\theta+226317\right)+2^{2} x^{5}\left(374407\theta^4+1908784\theta^3+3407293\theta^2+2501538\theta+653454\right)+2^{2} 3 x^{6}\left(130530\theta^4+686256\theta^3+1382165\theta^2+1159645\theta+333030\right)+2^{3} x^{7}\left(276464\theta^4-92912\theta^3-3194335\theta^2-3755703\theta-1224450\right)+2^{4} x^{8}\left(341712\theta^4+1614816\theta^3+1576879\theta^2+219863\theta-145632\right)-2^{5} x^{9}\left(29968\theta^4+412128\theta^3+489227\theta^2+156573\theta-3258\right)+2^{8} 3 x^{10}\left(6368\theta^4+13600\theta^3+11014\theta^2+4187\theta+681\right)-2^{11} 3^{2} x^{11}(4\theta+3)(\theta+1)^2(4\theta+5)\)

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Coefficients of the holomorphic solution: 1, -6, 54, 12, -26010, ...
--> OEIS
Normalized instanton numbers (n0=1): -4, -11, 550/3, -2965/2, -3316, ... ; Common denominator:...

Discriminant

\(-(4z+1)(3z+1)(96z^3-1576z^2-62z-1)(1+11z-6z^2+16z^3)^2\)

Local exponents

\(-\frac{ 1}{ 3}\)\(-\frac{ 1}{ 4}\) ≈\(-0.085955\) ≈\(-0.019642-0.015722I\) ≈\(-0.019642+0.015722I\)\(0\) ≈\(0.230478-0.820976I\) ≈\(0.230478+0.820976I\) ≈\(16.455951\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 3}{ 4}\)
\(1\)\(1\)\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)
\(1\)\(1\)\(3\)\(1\)\(1\)\(0\)\(3\)\(3\)\(1\)\(1\)
\(2\)\(2\)\(4\)\(2\)\(2\)\(0\)\(4\)\(4\)\(2\)\(\frac{ 5}{ 4}\)

Note:

This is operator "11.1" from ...

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