Summary

You searched for: inst=108

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1

New Number: 2.27 |  AESZ: 140  |  Superseeker: 108 -4945756  |  Hash: 74692097f8183c067c2c4b1a5c93387b  

Degree: 2

\(\theta^4-2^{2} 3 x(6\theta+1)(6\theta+5)(17\theta^2+17\theta+6)+2^{7} 3^{4} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)

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Coefficients of the holomorphic solution: 1, 360, 582120, 1274232960, 3204505984680, ...
--> OEIS
Normalized instanton numbers (n0=1): 108, 54135, -4945756, 7925523138, -2434666062240, ... ; Common denominator:...

Discriminant

\((3888z-1)(3456z-1)\)

Local exponents

\(0\)\(\frac{ 1}{ 3888}\)\(\frac{ 1}{ 3456}\)\(\infty\)
\(0\)\(0\)\(0\)\(\frac{ 1}{ 6}\)
\(0\)\(1\)\(1\)\(\frac{ 5}{ 6}\)
\(0\)\(1\)\(1\)\(\frac{ 7}{ 6}\)
\(0\)\(2\)\(2\)\(\frac{ 11}{ 6}\)

Note:

Hadamard product $D \ast g$

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2

New Number: 5.130 |  AESZ:  |  Superseeker: 108 122756  |  Hash: 829aca3d7a00547e299bf794c8643162  

Degree: 5

\(\theta^4-2^{2} 3 x\left(12\theta^4+96\theta^3+71\theta^2+23\theta+3\right)-2^{4} 3^{3} x^{2}\left(160\theta^4+64\theta^3-544\theta^2-340\theta-65\right)+2^{8} 3^{5} x^{3}\left(32\theta^4+576\theta^3+588\theta^2+240\theta+35\right)+2^{12} 3^{7} x^{4}(28\theta^2+52\theta+31)(2\theta+1)^2+2^{16} 3^{9} x^{5}(2\theta+1)^2(2\theta+3)^2\)

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Coefficients of the holomorphic solution: 1, 36, 3780, 558000, 98828100, ...
--> OEIS
Normalized instanton numbers (n0=1): 108, -1782, 122756, -5930658, 607239072, ... ; Common denominator:...

Discriminant

\((144z-1)(6912z^2+288z-1)(1+144z)^2\)

Local exponents

\(-\frac{ 1}{ 48}-\frac{ 1}{ 72}\sqrt{ 3}\)\(-\frac{ 1}{ 144}\)\(0\)\(-\frac{ 1}{ 48}+\frac{ 1}{ 72}\sqrt{ 3}\)\(\frac{ 1}{ 144}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(1\)\(1\)\(0\)\(1\)\(1\)\(\frac{ 1}{ 2}\)
\(1\)\(3\)\(0\)\(1\)\(1\)\(\frac{ 3}{ 2}\)
\(2\)\(4\)\(0\)\(2\)\(2\)\(\frac{ 3}{ 2}\)

Note:

This is operator "5.130" from ...

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