### Summary

You searched for: superseeker=-11/13,-385/39

Your search produced exactly one match

1

New Number: 6.25 |  AESZ:  |  Superseeker: -11/13 -385/39  |  Hash: 47050ee8c9a3655ea77ba8df999a7459

Degree: 6

$13^{6} \theta^4+13^{5} x(48\theta^2+48\theta+11)(3\theta^2+3\theta+1)-13^{4} x^{2}\left(20766\theta^4+83064\theta^3+129875\theta^2+93622\theta+26145\right)+13^{3} x^{3}\left(1368558\theta^4+8211348\theta^3+18296041\theta^2+17937057\theta+6515866\right)-13^{2} x^{4}\left(48595515\theta^4+388764120\theta^3+1109406129\theta^2+1327511556\theta+560261752\right)+7 13 31 229 x^{5}(\theta+4)(\theta+1)(19935\theta^2+99675\theta+113198)-2^{2} 7^{2} 31^{2} 229^{2} x^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)$

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Coefficients of the holomorphic solution: 1, -11/13, 2149/169, -279167/2197, 42641173/28561, ...
--> OEIS
Normalized instanton numbers (n0=1): -11/13, 131/52, -385/39, 672/13, -4437/13, ... ; Common denominator:...

#### Discriminant

$-(28z-13)(1603z^2-559z+169)(220069z^3-108004z^2+36335z+2197)$

#### Local exponents

≈$-0.051688$$0$$\frac{ 559}{ 3206}-\frac{ 507}{ 3206}\sqrt{ 3}I$$\frac{ 559}{ 3206}+\frac{ 507}{ 3206}\sqrt{ 3}I$ ≈$0.27123-0.345803I$ ≈$0.27123+0.345803I$$\frac{ 13}{ 28}$$\infty$
$0$$0$$0$$0$$0$$0$$0$$1$
$1$$0$$1$$1$$1$$1$$1$$2$
$1$$0$$1$$1$$1$$1$$1$$4$
$2$$0$$2$$2$$2$$2$$2$$5$

#### Note:

This is operator "6.25" from ...