### Summary

You searched for: superseeker=-4/5,-108/5

Your search produced exactly one match

1

New Number: 5.47 |  AESZ: 246  |  Superseeker: -4/5 -108/5  |  Hash: f51a0c39f9179dc6a561b9afb6f9d85f

Degree: 5

$5^{2} \theta^4-2^{2} 5 x\left(12\theta^4+48\theta^3+49\theta^2+25\theta+5\right)-2^{4} x^{2}\left(544\theta^4+1792\theta^3+2444\theta^2+1580\theta+405\right)+2^{9} x^{3}\left(112\theta^4+960\theta^3+2306\theta^2+2130\theta+685\right)+2^{12} x^{4}\left(144\theta^4+768\theta^3+1308\theta^2+924\theta+235\right)+2^{20} x^{5}\left((\theta+1)^4\right)$

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Coefficients of the holomorphic solution: 1, 4, 44, 400, 5356, ...
--> OEIS
Normalized instanton numbers (n0=1): -4/5, 22/5, -108/5, 694/5, -1040, ... ; Common denominator:...

#### Discriminant

$(1+16z)(16z+5)^2(16z-1)^2$

#### Local exponents

$-\frac{ 5}{ 16}$$-\frac{ 1}{ 16}$$0$$\frac{ 1}{ 16}$$\infty$
$0$$0$$0$$0$$1$
$1$$1$$0$$\frac{ 1}{ 2}$$1$
$3$$1$$0$$\frac{ 1}{ 2}$$1$
$4$$2$$0$$1$$1$

#### Note:

There is a second MUM-point at infinity,
corresponding to Operator AESZ 247/5.48