### Summary

You searched for: sol=6250050

Your search produced exactly one match

1

New Number: 7.12 |  AESZ:  |  Superseeker: -21 -7941  |  Hash: 0841b278bc566a089b643bbe2460fe8b

Degree: 7

$\theta^4+3 x\left(99\theta^4+162\theta^3+139\theta^2+58\theta+10\right)+2 3^{4} x^{2}\left(135\theta^4+738\theta^3+945\theta^2+518\theta+116\right)-2^{2} 3^{7} x^{3}\left(117\theta^4-738\theta^3-2010\theta^2-1493\theta-406\right)-2^{3} 3^{10} x^{4}\left(333\theta^4+774\theta^3-898\theta^2-1269\theta-454\right)-2^{4} 3^{13} x^{5}\left(54\theta^4+1224\theta^3+1179\theta^2+347\theta-22\right)+2^{5} 3^{16} x^{6}\left(180\theta^4+72\theta^3-327\theta^2-359\theta-106\right)+2^{7} 3^{19} x^{7}(\theta+1)^2(6\theta+5)(6\theta+7)$

Maple   LaTex

Coefficients of the holomorphic solution: 1, -30, 1458, -89076, 6250050, ...
--> OEIS
Normalized instanton numbers (n0=1): -21, -399, -7941, -986355/4, -8179455, ... ; Common denominator:...

#### Discriminant

$(27z+1)(54z+1)(54z-1)^2(108z+1)^3$

#### Local exponents

$-\frac{ 1}{ 27}$$-\frac{ 1}{ 54}$$-\frac{ 1}{ 108}$$0$$\frac{ 1}{ 54}$$\infty$
$0$$0$$0$$0$$0$$\frac{ 5}{ 6}$
$1$$1$$\frac{ 1}{ 2}$$0$$1$$1$
$1$$1$$\frac{ 3}{ 2}$$0$$3$$1$
$2$$2$$2$$0$$4$$\frac{ 7}{ 6}$

#### Note:

This is operator "7.12" from ...

Show more...  or download as   plain text  |  PDF  |  Maple  |  LaTex