### Summary

You searched for: superseeker=1565472,28381748186959008

Your search produced exactly one match

1

New Number: 4.67 |  AESZ: 305  |  Superseeker: 1565472 28381748186959008  |  Hash: 4ce63e568901a8cef3f9c2f60b6ce2d2

Degree: 4

$\theta^4+2^{4} 3 x\left(81552\theta^4-94944\theta^3-53688\theta^2-6216\theta-379\right)+2^{20} 3 x^{2}\left(1091952\theta^4-2917008\theta^3+1388032\theta^2+225284\theta+19545\right)-2^{34} 3^{3} 7 x^{3}\left(207504\theta^4-221184\theta^3-157480\theta^2-52224\theta-5855\right)+2^{59} 3^{5} 7^{2} x^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)$

Maple   LaTex

Coefficients of the holomorphic solution: 1, 18192, 178183440, -132466290835200, -18938901463932265200, ...
--> OEIS
Normalized instanton numbers (n0=1): 1565472, -155959736064, 28381748186959008, -6798945051352302862848, 1905341636283453444266170464, ... ; Common denominator:...

#### Discriminant

$(57982058496z^2-214272z+1)(1+2064384z)^2$

#### Local exponents

$-\frac{ 1}{ 2064384}$$0$$s_1$$s_2$$\frac{ 31}{ 16777216}-\frac{ 145}{ 150994944}\sqrt{ 15}I$$\frac{ 31}{ 16777216}+\frac{ 145}{ 150994944}\sqrt{ 15}I$$\infty$
$0$$0$$0$$0$$0$$0$$\frac{ 1}{ 3}$
$1$$0$$1$$1$$1$$1$$\frac{ 1}{ 2}$
$3$$0$$1$$1$$1$$1$$\frac{ 1}{ 2}$
$4$$0$$2$$2$$2$$2$$\frac{ 2}{ 3}$