Summary

You searched for: superseeker=0,18

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1

New Number: 7.17 |  AESZ:  |  Superseeker: 0 18  |  Hash: c248fd7c807d0aae71ef687a9ee40c80

Degree: 7

$\theta^4+3 x\left(87\theta^4+84\theta^3+86\theta^2+44\theta+9\right)+2 3^{3} x^{2}\left(539\theta^4+1076\theta^3+1366\theta^2+880\theta+233\right)+2 3^{5} x^{3}\left(3699\theta^4+11424\theta^3+17579\theta^2+13389\theta+4088\right)+3^{7} x^{4}\left(30367\theta^4+128696\theta^3+235722\theta^2+205070\theta+69226\right)+3^{9} x^{5}\left(74547\theta^4+405660\theta^3+871096\theta^2+848930\theta+310507\right)+2 3^{11} 5 x^{6}(2\theta+3)(5066\theta^3+26325\theta^2+44815\theta+23766)+2^{2} 3^{14} 5^{2} 7^{2} x^{7}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)$

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Coefficients of the holomorphic solution: 1, -27, 783, -23481, 717903, ...
--> OEIS
Normalized instanton numbers (n0=1): 0, -27/2, 18, -999/2, 1566, ... ; Common denominator:...

Discriminant

$(27z+1)(1323z^2+72z+1)(36z+1)^2(45z+1)^2$

Local exponents

$-\frac{ 1}{ 27}$$-\frac{ 1}{ 36}$$-\frac{ 4}{ 147}-\frac{ 1}{ 441}\sqrt{ 3}I$$-\frac{ 4}{ 147}+\frac{ 1}{ 441}\sqrt{ 3}I$$-\frac{ 1}{ 45}$$0$$\infty$
$0$$0$$0$$0$$0$$0$$1$
$1$$\frac{ 1}{ 2}$$1$$1$$1$$0$$\frac{ 3}{ 2}$
$1$$\frac{ 1}{ 2}$$1$$1$$3$$0$$\frac{ 5}{ 2}$
$2$$1$$2$$2$$4$$0$$3$

Note:

This is operator "7.17" from ...

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