Summary

You searched for: sol=-4778502402800

Your search produced exactly one match

1

New Number: 7.5 |  AESZ:  |  Superseeker: 8096 9215266592  |  Hash: 90403d92f72b2839164c2bbd30933deb  

Degree: 7

\(\theta^4+2^{4} x\left(1088\theta^4-2048\theta^3-1260\theta^2-236\theta-19\right)+2^{15} x^{2}\left(1216\theta^4-5504\theta^3+11272\theta^2+3654\theta+423\right)+2^{24} x^{3}\left(11712\theta^4+190848\theta^3+97220\theta^2+27432\theta+2835\right)+2^{35} x^{4}\left(159712\theta^4+253376\theta^3+235372\theta^2+78648\theta+9491\right)-2^{46} x^{5}\left(81760\theta^4+62656\theta^3-46316\theta^2-33048\theta-5403\right)+2^{57} 3 x^{6}\left(3040\theta^4-2112\theta^3-2036\theta^2-528\theta-41\right)+2^{69} 3^{2} x^{7}\left((2\theta+1)^4\right)\)

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Coefficients of the holomorphic solution: 1, 304, -113904, -2048902400, -4778502402800, ...
--> OEIS
Normalized instanton numbers (n0=1): 8096, -9179600, 9215266592, -8060820053720, 27014124083677664, ... ; Common denominator:...

Discriminant

\((2147483648z^3+40894464z^2-5120z+1)(-1-11264z+6291456z^2)^2\)

Local exponents

≈\(-0.019169\)\(\frac{ 11}{ 12288}-\frac{ 1}{ 12288}\sqrt{ 145}\)\(0\) ≈\(6.3e-05-0.000143I\) ≈\(6.3e-05+0.000143I\)\(\frac{ 11}{ 12288}+\frac{ 1}{ 12288}\sqrt{ 145}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(\frac{ 1}{ 2}\)
\(1\)\(3\)\(0\)\(1\)\(1\)\(3\)\(\frac{ 1}{ 2}\)
\(2\)\(4\)\(0\)\(2\)\(2\)\(4\)\(\frac{ 1}{ 2}\)

Note:

This is operator "7.5" from ...

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