Summary

You searched for: inst=284

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1

New Number: 3.31 |  AESZ:  |  Superseeker: 4 284  |  Hash: 660b0951ad934fc17fda7eb9b1750649  

Degree: 3

\(\theta^4-2^{2} x(2\theta+1)^2(5\theta^2+5\theta+2)+2^{5} x^{2}(2\theta+1)(2\theta+3)(7\theta^2+14\theta+8)-2^{4} 11 x^{3}(2\theta+1)(2\theta+3)^2(2\theta+5)\)

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Coefficients of the holomorphic solution: 1, 8, 168, 5360, 210280, ...
--> OEIS
Normalized instanton numbers (n0=1): 4, 27, 284, 4368, 80968, ... ; Common denominator:...

Discriminant

\(1-80z+896z^2-2816z^3\)

No data for singularities

Note:

This is operator "3.31" from ...

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2

New Number: 4.37 |  AESZ: 206  |  Superseeker: 4 284  |  Hash: bd5dae321e1369e7fae153775f84a351  

Degree: 4

\(\theta^4-2^{2} x\theta(\theta+1)(2\theta+1)^2-2^{5} x^{2}(2\theta+1)(2\theta+3)(11\theta^2+22\theta+12)-2^{4} 3 5^{2} x^{3}(2\theta+1)(2\theta+3)^2(2\theta+5)-2^{8} 19 x^{4}(2\theta+1)(2\theta+3)(2\theta+5)(2\theta+7)\)

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Coefficients of the holomorphic solution: 1, 0, 72, 1200, 44520, ...
--> OEIS
Normalized instanton numbers (n0=1): 4, 27, 284, 4368, 80968, ... ; Common denominator:...

Discriminant

\(-(16z+1)(4864z^3+896z^2+32z-1)\)

Local exponents

≈\(-0.10185-0.013248I\) ≈\(-0.10185+0.013248I\)\(-\frac{ 1}{ 16}\)\(0\)\(s_1\)\(s_3\)\(s_2\) ≈\(0.019489\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)\(\frac{ 3}{ 2}\)
\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)\(\frac{ 5}{ 2}\)
\(2\)\(2\)\(2\)\(0\)\(2\)\(2\)\(2\)\(2\)\(\frac{ 7}{ 2}\)

Note:

Sporadic Operator.

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