Calabi-Yau differential operator database v.3

New Number: 2.55 |  AESZ: 42  |  Superseeker: 8 1000  |  Hash: c389d3bc0e31801bc4b7b3e186702bc9  

Degree: 2

\(\theta^4-2^{3} x(2\theta+1)^2(3\theta^2+3\theta+1)+2^{6} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)

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Coefficients of the holomorphic solution: 1, 8, 240, 10880, 597520, ...
--> OEIS
Normalized instanton numbers (n₀=1): 8, 63, 1000, 44369/2, 606168, ... ; Common denominator:...

Discriminant

\(1-96z+256z^2\)

Local exponents

\(0\)	\(\frac{ 3}{ 16}-\frac{ 1}{ 8}\sqrt{ 2}\)	\(\frac{ 3}{ 16}+\frac{ 1}{ 8}\sqrt{ 2}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(1\)
\(0\)	\(1\)	\(1\)	\(1\)
\(0\)	\(2\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

Hadamard product $I \ast \epsilon$

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