### Summary

You searched for: superseeker=-1/3,-5/3

Your search produced exactly one match

1

New Number: 7.8 |  AESZ:  |  Superseeker: -1/3 -5/3  |  Hash: d5b8cfd5049e5d8670dac5bb5499d46a

Degree: 7

$3^{2} \theta^4-3 x\left(272\theta^4+340\theta^3+347\theta^2+177\theta+36\right)+x^{2}\left(31273\theta^4+76540\theta^3+103783\theta^2+71112\theta+19728\right)-2 x^{3}\left(328219\theta^4+1181160\theta^3+1977957\theta^2+1620036\theta+522288\right)+2^{2} x^{4}\left(2036999\theta^4+9602752\theta^3+19022113\theta^2+17726192\theta+6309408\right)-2^{3} 17 x^{5}(\theta+1)(439669\theta^3+2114103\theta^2+3708554\theta+2306280)+2^{6} 3^{3} 17^{2} x^{6}(\theta+1)(\theta+2)(481\theta^2+1875\theta+1962)-2^{10} 3^{4} 17^{3} x^{7}(\theta+1)(\theta+2)^2(\theta+3)$

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Coefficients of the holomorphic solution: 1, 12, 156, 2136, 30348, ...
--> OEIS
Normalized instanton numbers (n0=1): -1/3, 11/12, -5/3, 19/3, -29, ... ; Common denominator:...

#### Discriminant

$-(17z-1)(9z-1)(8z-1)(18z-1)(16z-1)(-3+34z)^2$

#### Local exponents

$0$$\frac{ 1}{ 18}$$\frac{ 1}{ 17}$$\frac{ 1}{ 16}$$\frac{ 3}{ 34}$$\frac{ 1}{ 9}$$\frac{ 1}{ 8}$$\infty$
$0$$0$$0$$0$$0$$0$$0$$1$
$0$$1$$1$$1$$1$$1$$1$$2$
$0$$1$$1$$1$$3$$1$$1$$2$
$0$$2$$2$$2$$4$$2$$2$$3$

#### Note:

This is operator "7.8" from ...