Summary

You searched for: sol=489/16

Your search produced exactly one match

1

New Number: 6.22 |  AESZ: 376  |  Superseeker: 5/4 35/2  |  Hash: 24fee66b67ff1a8a852f7a562f7665c1  

Degree: 6

\(2^{12} \theta^4-2^{10} x\left(106\theta^4+212\theta^3+183\theta^2+77\theta+13\right)+2^{8} x^{2}\left(19\theta^4+76\theta^3-43\theta^2-238\theta-141\right)+2^{6} 3 x^{3}\left(2988\theta^4+17928\theta^3+39970\theta^2+39234\theta+14267\right)+2^{4} 3^{3} x^{4}\left(309\theta^4+2472\theta^3+7618\theta^2+10696\theta+5311\right)-2^{2} 3^{3} 5 7^{2} x^{5}(\theta+4)(\theta+1)(22\theta^2+110\theta+123)-3^{5} 5^{2} 7^{2} x^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

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Coefficients of the holomorphic solution: 1, 13/4, 489/16, 25429/64, 1591057/256, ...
--> OEIS
Normalized instanton numbers (n0=1): 5/4, 57/16, 35/2, 459/4, 3615/4, ... ; Common denominator:...

Discriminant

\(-(7z+4)(5z-4)(105z-4)(9z-4)(4+3z)^2\)

Local exponents

\(-\frac{ 4}{ 3}\)\(-\frac{ 4}{ 7}\)\(0\)\(\frac{ 4}{ 105}\)\(\frac{ 4}{ 9}\)\(\frac{ 4}{ 5}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(\frac{ 1}{ 3}\)\(1\)\(0\)\(1\)\(1\)\(1\)\(2\)
\(\frac{ 2}{ 3}\)\(1\)\(0\)\(1\)\(1\)\(1\)\(4\)
\(1\)\(2\)\(0\)\(2\)\(2\)\(2\)\(5\)

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