Summary

You searched for: inst=357/11

Your search produced exactly one match

1

New Number: 8.37 |  AESZ: 345  |  Superseeker: -12/11 357/11  |  Hash: 60f282ab4e1936cd96eb5ba12983db2d  

Degree: 8

\(11^{2} \theta^4+3 11 x\left(113\theta^4+184\theta^3+158\theta^2+66\theta+11\right)+2 x^{2}\left(28397\theta^4+95138\theta^3+128420\theta^2+77715\theta+17622\right)-3 x^{3}\left(3165\theta^4+180822\theta^3+560611\theta^2+539022\theta+167508\right)-3 x^{4}\left(233330\theta^4+1052614\theta^3+1424797\theta^2+774518\theta+145896\right)-3^{2} x^{5}\left(12866\theta^4-98902\theta^3-52127\theta^2+102028\theta+63723\right)+3^{2} x^{6}\left(183763\theta^4+473778\theta^3+427847\theta^2+147060\theta+11268\right)-2^{3} 3^{3} x^{7}\left(5006\theta^4+13414\theta^3+14935\theta^2+8228\theta+1869\right)+2^{6} 3^{7} x^{8}\left((\theta+1)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, -3, 9, 141, -3879, ...
--> OEIS
Normalized instanton numbers (n0=1): -12/11, -28/11, 357/11, -1172/11, -5250/11, ... ; Common denominator:...

Discriminant

\((3z-1)(81z^3-457z^2-30z-1)(-11-21z+24z^2)^2\)

Local exponents

\(\frac{ 7}{ 16}-\frac{ 1}{ 48}\sqrt{ 1497}\) ≈\(-0.032637-0.033136I\) ≈\(-0.032637+0.033136I\)\(0\)\(\frac{ 1}{ 3}\)\(\frac{ 7}{ 16}+\frac{ 1}{ 48}\sqrt{ 1497}\) ≈\(5.707249\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)
\(3\)\(1\)\(1\)\(0\)\(1\)\(3\)\(1\)\(1\)
\(4\)\(2\)\(2\)\(0\)\(2\)\(4\)\(2\)\(1\)

Note:

This operator has a second MUM point at infinity corresponding to operator 8.38.

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