### Summary

You searched for: superseeker=-16/3,208/3

Your search produced exactly one match

1

New Number: 5.92 |  AESZ: 332  |  Superseeker: -16/3 208/3  |  Hash: f788b099648b78746af9d38e85874401

Degree: 5

$3^{2} \theta^4+2^{2} 3 x\left(67\theta^4+122\theta^3+100\theta^2+39\theta+6\right)+2^{5} x^{2}\left(1172\theta^4+4298\theta^3+5831\theta^2+3315\theta+678\right)+2^{8} x^{3}\left(3021\theta^4+15912\theta^3+29314\theta^2+20925\theta+4926\right)+2^{11} x^{4}(2\theta+1)(826\theta^3+3543\theta^2+4321\theta+1594)+2^{16} x^{5}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)$

Maple   LaTex

Coefficients of the holomorphic solution: 1, -8, 72, 640, -51800, ...
--> OEIS
Normalized instanton numbers (n0=1): -16/3, -257/6, 208/3, 10444/3, -116608/3, ... ; Common denominator:...

#### Discriminant

$(32z+1)(2048z^2+52z+1)(8z+3)^2$

#### Local exponents

$-\frac{ 3}{ 8}$$-\frac{ 1}{ 32}$$-\frac{ 13}{ 1024}-\frac{ 7}{ 1024}\sqrt{ 7}I$$-\frac{ 13}{ 1024}+\frac{ 7}{ 1024}\sqrt{ 7}I$$0$$\infty$
$0$$0$$0$$0$$0$$\frac{ 1}{ 2}$
$1$$1$$1$$1$$0$$\frac{ 3}{ 4}$
$3$$1$$1$$1$$0$$\frac{ 5}{ 4}$
$4$$2$$2$$2$$0$$\frac{ 3}{ 2}$

#### Note:

This is operator "5.92" from ...