Summary

You searched for: sol=1260

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1

New Number: 2.30 |  AESZ: 143  |  Superseeker: -1008 -607849200  |  Hash: e9217db4c6dcfdb9588bab85e6a5f136  

Degree: 2

\(\theta^4-2^{2} 3^{2} x(6\theta+1)(6\theta+5)(18\theta^2+18\theta+7)+2^{4} 3^{8} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)

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Coefficients of the holomorphic solution: 1, 1260, 6860700, 49707337680, 409490086185180, ...
--> OEIS
Normalized instanton numbers (n0=1): -1008, 499086, -607849200, 1097705372526, -2467344815777520, ... ; Common denominator:...

Discriminant

\((11664z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 11664}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 6}\)
\(0\)\(\frac{ 1}{ 3}\)\(\frac{ 5}{ 6}\)
\(0\)\(\frac{ 2}{ 3}\)\(\frac{ 7}{ 6}\)
\(0\)\(1\)\(\frac{ 11}{ 6}\)

Note:

$D\ast h^{\tilde{\;}}B\ast\kappa$

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2

New Number: 5.54 |  AESZ: 260  |  Superseeker: -188/5 -450516/5  |  Hash: 03ff8e2e94b897c3891e6981e7fb4ec9  

Degree: 5

\(5^{2} \theta^4+2^{2} 5 x\left(596\theta^4+544\theta^3+397\theta^2+125\theta+15\right)+2^{4} 3 x^{2}\left(30048\theta^4+14784\theta^3-13312\theta^2-10940\theta-2115\right)+2^{8} 3^{3} x^{3}\left(6368\theta^4-6720\theta^3-9052\theta^2-4080\theta-655\right)-2^{12} 3^{6} x^{4}(2\theta+1)^2(76\theta^2+196\theta+139)-2^{16} 3^{9} x^{5}(2\theta+1)^2(2\theta+3)^2\)

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Coefficients of the holomorphic solution: 1, -12, 1260, -188400, 34353900, ...
--> OEIS
Normalized instanton numbers (n0=1): -188/5, 7693/5, -450516/5, 37785946/5, -790482672, ... ; Common denominator:...

Discriminant

\(-(16z+1)(6912z^2-288z-1)(5+432z)^2\)

Local exponents

\(-\frac{ 1}{ 16}\)\(-\frac{ 5}{ 432}\)\(\frac{ 1}{ 48}-\frac{ 1}{ 72}\sqrt{ 3}\)\(0\)\(\frac{ 1}{ 48}+\frac{ 1}{ 72}\sqrt{ 3}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(1\)\(1\)\(1\)\(0\)\(1\)\(\frac{ 1}{ 2}\)
\(1\)\(3\)\(1\)\(0\)\(1\)\(\frac{ 3}{ 2}\)
\(2\)\(4\)\(2\)\(0\)\(2\)\(\frac{ 3}{ 2}\)

Note:

This is operator "5.54" from ...

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