### Summary

You searched for: sol=55720

Your search produced exactly one match

1

New Number: 7.11 |  AESZ:  |  Superseeker: -8 -3784/3  |  Hash: cb1bf6566f9c1a0dbfe98fb55f81944c

Degree: 7

$\theta^4+2^{2} x\left(23\theta^4-34\theta^3-30\theta^2-13\theta-2\right)+2^{5} x^{2}\left(177\theta^4+108\theta^3+577\theta^2+518\theta+116\right)+2^{10} x^{3}\left(355\theta^4+960\theta^3+1178\theta^2+139\theta-44\right)+2^{15} x^{4}\left(451\theta^4+1228\theta^3+997\theta^2+489\theta+103\right)+2^{20} x^{5}\left(285\theta^4+720\theta^3+766\theta^2+410\theta+83\right)+2^{26} x^{6}(2\theta+1)(20\theta^3+50\theta^2+49\theta+17)+2^{31} x^{7}(2\theta+1)(\theta+1)^2(2\theta+3)$

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Coefficients of the holomorphic solution: 1, 8, -120, -4480, 55720, ...
--> OEIS
Normalized instanton numbers (n0=1): -8, 43/2, -3784/3, 51036, -1659840, ... ; Common denominator:...

#### Discriminant

$(8z+1)(32768z^3+3072z^2-12z+1)(32z+1)^3$

#### Local exponents

$-\frac{ 1}{ 8}$ ≈$-0.100423$$-\frac{ 1}{ 32}$$0$ ≈$0.003336-0.01711I$ ≈$0.003336+0.01711I$$\infty$
$0$$0$$0$$0$$0$$0$$\frac{ 1}{ 2}$
$1$$1$$2$$0$$1$$1$$1$
$1$$1$$3$$0$$1$$1$$1$
$2$$2$$5$$0$$2$$2$$\frac{ 3}{ 2}$

#### Note:

This is operator "7.11" from ...