Summary

You searched for: superseeker=-48,-38929520

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1

New Number: 7.14 |  AESZ:  |  Superseeker: -48 -38929520  |  Hash: d8c602210ad81a2daef74d36a78ea933

Degree: 7

$\theta^4+2^{4} 3 x\left(99\theta^4+162\theta^3+151\theta^2+70\theta+13\right)+2^{9} 3^{4} x^{2}\left(135\theta^4+738\theta^3+945\theta^2+506\theta+113\right)-2^{14} 3^{7} x^{3}\left(117\theta^4-738\theta^3-1965\theta^2-1490\theta-409\right)-2^{19} 3^{10} x^{4}\left(333\theta^4+774\theta^3-919\theta^2-1242\theta-439\right)-2^{25} 3^{13} x^{5}\left(27\theta^4+612\theta^3+576\theta^2+154\theta-17\right)+2^{31} 3^{16} x^{6}\left(45\theta^4+18\theta^3-84\theta^2-89\theta-25\right)+2^{37} 3^{19} x^{7}(\theta+1)^2(3\theta+2)(3\theta+4)$

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Coefficients of the holomorphic solution: 1, -624, 633744, -768218880, 1020122073360, ...
--> OEIS
Normalized instanton numbers (n0=1): -48, -160806, -38929520, -13792511646, -7174458915600, ... ; Common denominator:...

Discriminant

$(432z+1)(864z+1)(864z-1)^2(1728z+1)^3$

Local exponents

$-\frac{ 1}{ 432}$$-\frac{ 1}{ 864}$$-\frac{ 1}{ 1728}$$0$$\frac{ 1}{ 864}$$\infty$
$0$$0$$0$$0$$0$$\frac{ 2}{ 3}$
$1$$1$$0$$0$$1$$1$
$1$$1$$2$$0$$3$$1$
$2$$2$$2$$0$$4$$\frac{ 4}{ 3}$

Note:

This is operator "7.14" from ...