### Summary

You searched for: sol=5650

1

New Number: 3.26 |  AESZ: 407  |  Superseeker: 2 440  |  Hash: c46d32ba4b3738ba34fe1e6c16e6f242

Degree: 3

$\theta^4+2 x\left(132\theta^4+264\theta^3+293\theta^2+161\theta+35\right)+2^{2} 5^{2} x^{2}(\theta+1)^2(228\theta^2+456\theta+335)+2^{6} 5^{4} x^{3}(\theta+1)(\theta+2)(4\theta+5)(4\theta+7)$

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Coefficients of the holomorphic solution: 1, -70, 5650, -484900, 43071250, ...
--> OEIS
Normalized instanton numbers (n0=1): 2, -44, 440, -4844, 46268, ... ; Common denominator:...

#### Discriminant

$(64z+1)(1+100z)^2$

#### Local exponents

$-\frac{ 1}{ 64}$$-\frac{ 1}{ 100}$$0$$\infty$
$0$$0$$0$$1$
$1$$-\frac{ 1}{ 2}$$0$$\frac{ 5}{ 4}$
$1$$1$$0$$\frac{ 7}{ 4}$
$2$$\frac{ 3}{ 2}$$0$$2$

#### Note:

This is operator "3.26" from ...

2

New Number: 6.26 |  AESZ:  |  Superseeker: 58/43 1024/43  |  Hash: 38ef7a13fad0ecbb53ba25dafe26b113

Degree: 6

$43^{2} \theta^4-43 x\left(830\theta^4+1750\theta^3+1434\theta^2+559\theta+86\right)-x^{2}\left(1342738\theta^3+368510+1383525\theta+354697\theta^4+2007703\theta^2\right)-x^{3}\left(2348230+6951423\theta+774028\theta^4+3928308\theta^3+7763518\theta^2\right)-3 5 x^{4}\left(44423\theta^4+264028\theta^3+597368\theta^2+599643\theta+221430\right)-2 3^{2} 5^{2} x^{5}(\theta+2)(\theta+1)(533\theta^2+1694\theta+1290)-3^{3} 5^{3} x^{6}(3\theta+5)(3\theta+4)(\theta+2)(\theta+1)$

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Coefficients of the holomorphic solution: 1, 2, 26, 344, 5650, ...
--> OEIS
Normalized instanton numbers (n0=1): 58/43, 211/43, 1024/43, 7544/43, 64880/43, ... ; Common denominator:...

#### Discriminant

$-(5z+1)(27z-1)(15z+43)^2(z+1)^2$

#### Local exponents

$-\frac{ 43}{ 15}$$-1$$-\frac{ 1}{ 5}$$0$$\frac{ 1}{ 27}$$\infty$
$0$$0$$0$$0$$0$$1$
$1$$\frac{ 1}{ 2}$$1$$0$$1$$\frac{ 4}{ 3}$
$3$$\frac{ 1}{ 2}$$1$$0$$1$$\frac{ 5}{ 3}$
$4$$1$$2$$0$$2$$2$

#### Note:

This is operator "6.26" from ...