Summary

You searched for: inst=-5232

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1

New Number: 4.13 |  AESZ: ~37  |  Superseeker: -128 -1546624/3  |  Hash: c03e4e4ca58f9f1f76c98c8616bc2cbd  

Degree: 4

\(\theta^4-2^{2} x\left(640\theta^4+1280\theta^3+1534\theta^2+894\theta+201\right)+2^{4} 3 x^{2}\left(45056\theta^4+180224\theta^3+308352\theta^2+256256\theta+86363\right)-2^{19} x^{3}(320\theta^2+960\theta+957)(2\theta+3)^2+2^{30} x^{4}(2\theta+3)(2\theta+5)(4\theta+7)(4\theta+9)\)

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Coefficients of the holomorphic solution: 1, 804, 655260, 563879792, 505573095132, ...
--> OEIS
Normalized instanton numbers (n0=1): -128, -5232, -1546624/3, -64705008, -7960717440, ... ; Common denominator:...

Discriminant

\((1024z-1)^2(256z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 1024}\)\(\frac{ 1}{ 256}\)\(\infty\)
\(0\)\(0\)\(0\)\(\frac{ 3}{ 2}\)
\(0\)\(-\frac{ 1}{ 2}\)\(-\frac{ 1}{ 2}\)\(\frac{ 7}{ 4}\)
\(0\)\(1\)\(1\)\(\frac{ 9}{ 4}\)
\(0\)\(\frac{ 3}{ 2}\)\(\frac{ 3}{ 2}\)\(\frac{ 5}{ 2}\)

Note:

YY-Operator equivalent to AESZ 37$=C \ast \alpha ~tilde c \ast i$

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