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You searched for: inst=31474/51

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1

New Number: 11.6 |  AESZ:  |  Superseeker: 95/102 1421/102  |  Hash: e79a3108441c74cdc23a53a603a6181e  

Degree: 11

\(2^{2} 3^{2} 17^{2} \theta^4-2 3 17 x\theta(116\theta^3+1414\theta^2+911\theta+204)-x^{2}\left(2596259\theta^4+9892670\theta^3+14508941\theta^2+9947652\theta+2663424\right)-3 x^{3}\left(8561767\theta^4+41744696\theta^3+79668236\theta^2+68977704\theta+22655832\right)-2^{2} x^{4}\left(28089475\theta^4+171762758\theta^3+396877187\theta^2+402013525\theta+149622901\right)-2 x^{5}\left(127339346\theta^4+963856934\theta^3+2636877099\theta^2+3042828449\theta+1247694978\right)-x^{6}\left(283337071\theta^4+2758627602\theta^3+9101625228\theta^2+11995897911\theta+5385015134\right)-2 x^{7}\left(43252385\theta^4+777895672\theta^3+3537873325\theta^2+5604936458\theta+2806067360\right)+2^{2} 3 x^{8}(\theta+1)(7613560\theta^3+27844427\theta^2-51849552\theta-134696600)+x^{9}(\theta+1)(\theta+2)(60585089\theta^2+495871401\theta+595115780)-2^{3} 3 5^{2} x^{10}(\theta+3)(\theta+2)(\theta+1)(10279\theta-113205)-2^{4} 5^{4} 7 97 x^{11}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)

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Coefficients of the holomorphic solution: 1, 0, 16, 114, 1680, ...
--> OEIS
Normalized instanton numbers (n0=1): 95/102, 58/17, 1421/102, 1451/17, 31474/51, ... ; Common denominator:...

Discriminant

\(-(-1+7z+219z^2+1115z^3+1934z^4+679z^5)(z+1)^2(100z^2-197z-102)^2\)

Local exponents

\(-1\)\(\frac{ 197}{ 200}-\frac{ 1}{ 200}\sqrt{ 79609}\)\(0\)\(\frac{ 197}{ 200}+\frac{ 1}{ 200}\sqrt{ 79609}\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(\frac{ 1}{ 3}\)\(1\)\(0\)\(1\)\(1\)\(2\)
\(\frac{ 2}{ 3}\)\(3\)\(0\)\(3\)\(1\)\(3\)
\(1\)\(4\)\(0\)\(4\)\(2\)\(4\)

Note:

This is operator "11.6" from ...

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2

New Number: 9.6 |  AESZ:  |  Superseeker: 95/102 1421/102  |  Hash: 04982735f3d6178049251771352a0277  

Degree: 9

\(2^{2} 3^{2} 17^{2} \theta^4-2 3 17 x\left(1238\theta^4+2434\theta^3+1931\theta^2+714\theta+102\right)-x^{2}\left(1905719\theta^4+7435898\theta^3+11481377\theta^2+8054838\theta+2175150\right)-x^{3}\left(65375064\theta+31069026\theta^3+4568070\theta^4+22153074+70031651\theta^2\right)+x^{4}\left(4512344\theta^4-46914039-80101802\theta^2-111691663\theta-9395414\theta^3\right)+x^{5}\left(36577126+121266438\theta^3+23432568\theta^4+137186363\theta+194777323\theta^2\right)+x^{6}\left(69502656\theta^3-1312570+57037497\theta+121320734\theta^2+4255715\theta^4\right)-3 13 x^{7}\left(877789\theta^4+3969932\theta^3+7763293\theta^2+7084011\theta+2438016\right)-3^{2} 5 13^{2} x^{8}(\theta+1)(1514\theta^3+4164\theta^2+3373\theta+681)+3^{3} 5^{2} 13^{3} x^{9}(3\theta+5)(3\theta+4)(\theta+2)(\theta+1)\)

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Coefficients of the holomorphic solution: 1, 1, 17, 163, 2233, ...
--> OEIS
Normalized instanton numbers (n0=1): 95/102, 58/17, 1421/102, 1451/17, 31474/51, ... ; Common denominator:...

Discriminant

\((1-12z-181z^2-510z^3-328z^4+351z^5)(-102+7z+195z^2)^2\)

Local exponents

\(-\frac{ 7}{ 390}-\frac{ 1}{ 390}\sqrt{ 79609}\)\(0\)\(-\frac{ 7}{ 390}+\frac{ 1}{ 390}\sqrt{ 79609}\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(0\)\(1\)\(1\)\(\frac{ 4}{ 3}\)
\(3\)\(0\)\(3\)\(1\)\(\frac{ 5}{ 3}\)
\(4\)\(0\)\(4\)\(2\)\(2\)

Note:

This is operator "9.6" from ...

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