Summary

You searched for: sol=-8442

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1

New Number: 12.7 |  AESZ:  |  Superseeker: -24/7 117  |  Hash: fedf397077a0af56af404f5156e1b5c0  

Degree: 12

\(7^{2} \theta^4+2 3 7 x\left(111\theta^4+120\theta^3+102\theta^2+42\theta+7\right)+2^{2} 3 x^{2}\left(16827\theta^4+34008\theta^3+38464\theta^2+20846\theta+4494\right)+3^{3} x^{3}\left(178553\theta^4+439878\theta^3+528099\theta^2+313502\theta+74536\right)+2 3^{3} x^{4}\left(1355053\theta^4+3438698\theta^3+3854711\theta^2+2221354\theta+519896\right)+2^{2} 3^{4} x^{5}\left(2406561\theta^4+5708802\theta^3+5082043\theta^2+2161754\theta+336752\right)+2^{3} 3^{5} x^{6}\left(3133411\theta^4+6625998\theta^3+4266961\theta^2+238710\theta-485736\right)+2^{6} 3^{6} x^{7}\left(746186\theta^4+1366021\theta^3+743388\theta^2-203279\theta-212552\right)+2^{7} 3^{7} x^{8}\left(506499\theta^4+760668\theta^3+404459\theta^2-112958\theta-117216\right)+2^{11} 3^{8} x^{9}\left(27992\theta^4+34962\theta^3+7197\theta^2-14685\theta-7604\right)+2^{14} 3^{9} x^{10}\left(1381\theta^4+1244\theta^3-2460\theta^2-4030\theta-1571\right)-2^{18} 3^{10} x^{11}(22\theta^2+98\theta+105)(\theta+1)^2-2^{22} 3^{11} x^{12}(\theta+1)^2(\theta+2)^2\)

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Coefficients of the holomorphic solution: 1, -6, 54, -276, -8442, ...
--> OEIS
Normalized instanton numbers (n0=1): -24/7, -24/7, 117, -564, 948/7, ... ; Common denominator:...

Discriminant

\(-(6z+1)(10368z^5-864z^4-7371z^3-1440z^2-60z-1)(7+102z+648z^2+3456z^3)^2\)

Local exponents

\(-\frac{ 1}{ 6}\) ≈\(-0.097659\) ≈\(-0.04492-0.136829I\) ≈\(-0.04492+0.136829I\)\(0\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)
\(1\)\(3\)\(3\)\(3\)\(0\)\(1\)\(2\)
\(2\)\(4\)\(4\)\(4\)\(0\)\(2\)\(2\)

Note:

This is operator "12.7" from ...

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