Summary

You searched for: sol=1864

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1

New Number: 13.16 |  AESZ:  |  Superseeker: 5 581/3  |  Hash: 2ab5512d2cfda3cde6ee0ea98a12d6fb  

Degree: 13

\(\theta^4-x\left(106\theta^4+140\theta^3+125\theta^2+55\theta+10\right)+x^{2}\left(2472+4265\theta^4+12596\theta^3+15925\theta^2+9718\theta\right)-2^{3} x^{3}\left(9346\theta^4+58443\theta^3+105118\theta^2+80373\theta+24412\right)+2^{4} 3 x^{4}\left(1747\theta^4+173306\theta^3+488163\theta^2+460544\theta+161900\right)+2^{6} 3 x^{5}\left(108841\theta^4-198029\theta^3-1835967\theta^2-2248271\theta-919518\right)-2^{8} 3 x^{6}\left(510411\theta^4+1710438\theta^3-2652339\theta^2-5816622\theta-2956384\right)+2^{12} 3 x^{7}\left(213944\theta^4+2327365\theta^3+1622852\theta^2-837189\theta-1027734\right)+2^{10} 3 x^{8}\left(4640003\theta^4-76516006\theta^3-140342311\theta^2-92680566\theta-16297224\right)-2^{13} x^{9}\left(56543147\theta^4-21416544\theta^3-251991507\theta^2-314165376\theta-118113840\right)+2^{16} x^{10}\left(70691941\theta^4+213840362\theta^3+253613996\theta^2+121602823\theta+15102754\right)-2^{19} 73 x^{11}(\theta+1)(680053\theta^3+2794143\theta^2+4238129\theta+2311527)+2^{22} 73^{2} x^{12}(\theta+2)(\theta+1)(3707\theta^2+13713\theta+13693)-2^{25} 3^{2} 73^{3} x^{13}(\theta+1)(\theta+2)^2(\theta+3)\)

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Coefficients of the holomorphic solution: 1, 10, 118, 1864, 38566, ...
--> OEIS
Normalized instanton numbers (n0=1): 5, -53/4, 581/3, -1231, 19810, ... ; Common denominator:...

Discriminant

\(-(9z-1)(8z-1)(4672z^3-840z^2+57z-1)(64z^2-8z+1)(1-12z-192z^2+2336z^3)^2\)

Local exponents

≈\(-0.071938\)\(0\) ≈\(0.026164\)\(\frac{ 1}{ 16}-\frac{ 1}{ 16}\sqrt{ 3}I\)\(\frac{ 1}{ 16}+\frac{ 1}{ 16}\sqrt{ 3}I\) ≈\(0.076815-0.047751I\) ≈\(0.076815+0.047751I\) ≈\(0.077065-0.003429I\) ≈\(0.077065+0.003429I\)\(\frac{ 1}{ 9}\)\(\frac{ 1}{ 8}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)\(1\)\(1\)\(1\)\(1\)\(1\)\(2\)
\(3\)\(0\)\(1\)\(1\)\(1\)\(1\)\(1\)\(3\)\(3\)\(1\)\(1\)\(2\)
\(4\)\(0\)\(2\)\(2\)\(2\)\(2\)\(2\)\(4\)\(4\)\(2\)\(2\)\(3\)

Note:

This is operator "13.16" from ...

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