Summary

You searched for: sol=624

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1

New Number: 2.33 |  AESZ:  |  Superseeker: -160 -539680  |  Hash: 83a66e92381baa083f87a13e02375bc9  

Degree: 2

\(\theta^4-2^{4} x(4\theta+1)(4\theta+3)(32\theta^2+32\theta+13)+2^{16} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)

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Coefficients of the holomorphic solution: 1, 624, 1251600, 3268151040, 9627237219600, ...
--> OEIS
Normalized instanton numbers (n0=1): -160, -6920, -539680, -54568560, -6402958560, ... ; Common denominator:...

Discriminant

\((4096z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 4096}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 4}\)
\(0\)\(\frac{ 1}{ 4}\)\(\frac{ 3}{ 4}\)
\(0\)\(\frac{ 3}{ 4}\)\(\frac{ 5}{ 4}\)
\(0\)\(1\)\(\frac{ 7}{ 4}\)

Note:

This is operator "2.33" from ...

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2

New Number: 2.59 |  AESZ: 47  |  Superseeker: -384 -164736  |  Hash: 792da990d2d2e5263bb789ad37b00d44  

Degree: 2

\(\theta^4-2^{4} 3 x(2\theta+1)^2(18\theta^2+18\theta+13)+2^{10} 3^{6} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)

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Coefficients of the holomorphic solution: 1, 624, 685584, 883925760, 1229988226320, ...
--> OEIS
Normalized instanton numbers (n0=1): -384, -1356, -164736, 96211836, -3267254400, ... ; Common denominator:...

Discriminant

\((1728z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 1728}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(0\)\(-\frac{ 1}{ 6}\)\(1\)
\(0\)\(1\)\(1\)
\(0\)\(\frac{ 7}{ 6}\)\(\frac{ 3}{ 2}\)

Note:

Hadamard product $I \ast \kappa$

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