Summary

You searched for: superseeker=21/4,-1045/6

Your search produced exactly one match

1

New Number: 11.19 |  AESZ:  |  Superseeker: 21/4 -1045/6  |  Hash: acf903f94ac2a08b9f2b26dff65a52ff  

Degree: 11

\(2^{4} \theta^4-2^{2} 3 x\left(42\theta^4+102\theta^3+79\theta^2+28\theta+4\right)+3^{3} x^{2}\left(315\theta^4+4266\theta^3+5903\theta^2+3052\theta+596\right)+3^{6} x^{3}\left(1318\theta^4+2322\theta^3+1973\theta^2+1480\theta+380\right)-3^{8} x^{4}\left(929\theta^4-9440\theta^3-49249\theta^2-40585\theta-10625\right)-3^{10} x^{5}\left(2379\theta^4-3180\theta^3+21452\theta^2+12663\theta+2214\right)-3^{12} x^{6}\left(1180\theta^4+108042\theta^3+173091\theta^2+112103\theta+25380\right)+3^{13} x^{7}\left(27312\theta^4+432678\theta^3+80098\theta^2-241649\theta-108332\right)+3^{15} x^{8}\left(107658\theta^4+438498\theta^3+811975\theta^2+529736\theta+119035\right)-3^{18} x^{9}\left(96469\theta^4+336390\theta^3+294983\theta^2+82398\theta+582\right)+2 3^{20} 13 x^{10}\left(2902\theta^4+5462\theta^3+3737\theta^2+1006\theta+63\right)+2^{2} 3^{23} 13^{2} x^{11}\left((\theta+1)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 3, -27, -1563, -40491, ...
--> OEIS
Normalized instanton numbers (n0=1): 21/4, -969/16, -1045/6, -35199/4, 536619/4, ... ; Common denominator:...

Discriminant

\((1-36z+1458z^2+18225z^3+761076z^4+177147z^5)(4+9z-1539z^2+18954z^3)^2\)

Local exponents

≈\(-4.272671\) ≈\(-0.039841\) ≈\(-0.024843\) ≈\(-0.024843\)\(0\) ≈\(0.01303\) ≈\(0.01303\) ≈\(0.060519-0.040429I\) ≈\(0.060519+0.040429I\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)\(1\)
\(1\)\(3\)\(1\)\(1\)\(0\)\(1\)\(1\)\(3\)\(3\)\(1\)
\(2\)\(4\)\(2\)\(2\)\(0\)\(2\)\(2\)\(4\)\(4\)\(1\)

Note:

This is operator "11.19" from ...

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