Summary

You searched for: superseeker=-90,-413926

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1

New Number: 9.4 |  AESZ:  |  Superseeker: -90 -413926  |  Hash: e2329b2f9cd1e3f65d29644e6ce39d24

Degree: 9

$\theta^4+3^{2} x\left(69\theta^4+132\theta^3+108\theta^2+42\theta+7\right)+2 3^{5} x^{2}\left(198\theta^4+1656\theta^3+2235\theta^2+1203\theta+271\right)-2 3^{9} x^{3}\left(1082\theta^4-4032\theta^3-10621\theta^2-6257\theta-1523\right)-2 3^{12} x^{4}\left(17617\theta^4+21400\theta^3-72757\theta^2-59353\theta-17391\right)-2 3^{17} x^{5}\left(6967\theta^4+54948\theta^3-16949\theta^2-32367\theta-12734\right)+2 3^{22} x^{6}\left(7322\theta^4-27080\theta^3-389\theta^2+8651\theta+4395\right)+2 3^{29} x^{7}\left(894\theta^4+368\theta^3+311\theta^2+323\theta+137\right)+3^{36} x^{8}\left(57\theta^4+112\theta^3+78\theta^2+22\theta+2\right)-3^{43} x^{9}\left((\theta+1)^4\right)$

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Coefficients of the holomorphic solution: 1, -63, 4455, 34551, -114913161, ...
--> OEIS
Normalized instanton numbers (n0=1): -90, -8685/2, -413926, -38862153, -4502063682, ... ; Common denominator:...

Discriminant

$-(-1+27z)(-1+243z)^2(59049z^2+378z+1)^3$

Local exponents

$-\frac{ 7}{ 2187}-\frac{ 4}{ 2187}\sqrt{ 2}I$$-\frac{ 7}{ 2187}+\frac{ 4}{ 2187}\sqrt{ 2}I$$0$$\frac{ 1}{ 243}$$\frac{ 1}{ 27}$$\infty$
$0$$0$$0$$0$$0$$1$
$\frac{ 1}{ 2}$$\frac{ 1}{ 2}$$0$$1$$1$$1$
$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$0$$3$$1$$1$
$2$$2$$0$$4$$2$$1$

Note:

This is operator "9.4" from ...