Summary

You searched for: sol=50

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1

New Number: 3.18 |  AESZ: 388  |  Superseeker: 266 11433160/3  |  Hash: 7e11db69c1b7bd8781e54a5eadb0e307  

Degree: 3

\(\theta^4-2 x\left(582\theta^4+1164\theta^3+815\theta^2+233\theta+25\right)+2^{2} x^{2}(\theta+1)^2(2316\theta^2+4632\theta+1907)-2^{4} 17^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

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Coefficients of the holomorphic solution: 1, 50, 17142, 9383540, 6301530550, ...
--> OEIS
Normalized instanton numbers (n0=1): 266, 19320, 11433160/3, 1106069392, 397606861972, ... ; Common denominator:...

Discriminant

\(-(1156z-1)(4z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 1156}\)\(\frac{ 1}{ 4}\)\(\infty\)
\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(0\)\(1\)\(0\)\(1\)
\(0\)\(1\)\(1\)\(2\)
\(0\)\(2\)\(1\)\(\frac{ 5}{ 2}\)

Note:

This is operator "3.18" from ...

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2

New Number: 6.13 |  AESZ:  |  Superseeker: 0 0  |  Hash: b7b28238d79425febad0c26d36cce7ef  

Degree: 6

\(3 \theta^4-2 3 5^{2} x\left(8\theta^4+10\theta^3+10\theta^2+5\theta+1\right)+2^{2} 3 5 x^{2}\left(3129\theta^4+7266\theta^3+9285\theta^2+5913\theta+1490\right)-2^{3} 3 5^{3} x^{3}\left(4774\theta^4+15120\theta^3+22026\theta^2+15303\theta+4073\right)+2^{4} 3 5^{5} x^{4}\left(3552\theta^4+13296\theta^3+20195\theta^2+13733\theta+3492\right)-2^{6} 3 5^{7} x^{5}(\theta+1)^2(524\theta^2+1096\theta+611)+2^{10} 5^{9} x^{6}(\theta+1)^2(\theta+2)^2\)

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Coefficients of the holomorphic solution: 1, 50, 3450, 267500, 22029250, ...
--> OEIS
Normalized instanton numbers (n0=1): 0, 165/4, 0, -44335/8, 0, ... ; Common denominator:...

Discriminant

\(\)

No data for singularities

Note:

This is operator "6.13" from ...

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