### Summary

You searched for: superseeker=138/7,42984/7

Your search produced exactly one match

1

New Number: 5.35 |  AESZ: 218  |  Superseeker: 138/7 42984/7  |  Hash: a76111af659715caf2c4344eedd9d678

Degree: 5

$7^{2} \theta^4-2 3 7 x\left(192\theta^4+396\theta^3+303\theta^2+105\theta+14\right)+2^{2} 3 x^{2}\left(1188\theta^4+11736\theta^3+20431\theta^2+12152\theta+2436\right)+2^{2} 3^{3} x^{3}\left(532\theta^4+504\theta^3-3455\theta^2-3829\theta-1036\right)-2^{4} 3^{4} x^{4}(2\theta+1)(36\theta^3+306\theta^2+421\theta+156)-2^{6} 3^{4} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)$

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Coefficients of the holomorphic solution: 1, 12, 612, 48000, 4580100, ...
--> OEIS
Normalized instanton numbers (n0=1): 138/7, 1506/7, 42984/7, 235596, 78950334/7, ... ; Common denominator:...

#### Discriminant

$-(1296z^3-864z^2+168z-1)(7+12z)^2$

#### Local exponents

$-\frac{ 7}{ 12}$$0$ ≈$0.006145$ ≈$0.330261-0.128447I$ ≈$0.330261+0.128447I$$\infty$
$0$$0$$0$$0$$0$$\frac{ 1}{ 2}$
$1$$0$$1$$1$$1$$\frac{ 2}{ 3}$
$3$$0$$1$$1$$1$$\frac{ 4}{ 3}$
$4$$0$$2$$2$$2$$\frac{ 3}{ 2}$

#### Note:

This is operator "5.35" from ...