### Summary

You searched for: sol=66448116

Your search produced exactly one match

1

New Number: 6.35 |  AESZ:  |  Superseeker:  |  Hash: de26083962cade55a4938b4011d0008e

Degree: 6

$\theta^4-3 x\left(63\theta^4+234\theta^3+247\theta^2+130\theta+28\right)+2 3^{4} x^{2}\left(9\theta^4+522\theta^3+1207\theta^2+1058\theta+356\right)+2^{2} 3^{7} x^{3}\left(135\theta^4+270\theta^3-730\theta^2-1395\theta-696\right)-2^{3} 3^{10} x^{4}\left(63\theta^4+774\theta^3+1372\theta^2+817\theta+88\right)-2^{4} 3^{13} x^{5}\left(72\theta^4+72\theta^3-325\theta^2-629\theta-308\right)+2^{5} 3^{16} x^{6}(3\theta+5)(3\theta+4)(2\theta+3)^2$

Maple   LaTex

Coefficients of the holomorphic solution: 1, 84, 7452, 692688, 66448116, ...
--> OEIS
Normalized instanton numbers (n0=1): 21, -1617/4, 7941, -986355/4, 8179455, ... ; Common denominator:...

#### Discriminant

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

#### Local exponents

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

#### Note:

This is operator "6.35" from ...