Summary

You searched for: inst=26

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1

New Number: 3.5 |  AESZ:  |  Superseeker: 26 103520/9  |  Hash: 4ed9bc316d49a71649da0a1148f7ea9d  

Degree: 3

\(\theta^4-2 x\left(102\theta^4+204\theta^3+155\theta^2+53\theta+7\right)+2^{2} x^{2}(\theta+1)^2(396\theta^2+792\theta+311)-2^{4} 7^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

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Coefficients of the holomorphic solution: 1, 14, 834, 78260, 8970850, ...
--> OEIS
Normalized instanton numbers (n0=1): 26, 348, 103520/9, 539764, 31290280, ... ; Common denominator:...

Discriminant

\(-(196z-1)(4z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 196}\)\(\frac{ 1}{ 4}\)\(\infty\)
\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(0\)\(1\)\(\frac{ 1}{ 4}\)\(1\)
\(0\)\(1\)\(\frac{ 3}{ 4}\)\(2\)
\(0\)\(2\)\(1\)\(\frac{ 5}{ 2}\)

Note:

Operator equivalent to AESZ 214

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2

New Number: 11.15 |  AESZ:  |  Superseeker: 26 1205094  |  Hash: 3569012dbdb9fd87263426cf2bb6fc1e  

Degree: 11

\(\theta^4+x\left(1621\theta^4+668\theta^3+604\theta^2+270\theta+45\right)+3 x^{2}\left(254941\theta^4+548152\theta^3+559862\theta^2+194162\theta+28968\right)-3^{2} x^{3}\left(1325117\theta^4-108701676\theta^3-124717610\theta^2-59094684\theta-11443095\right)-2 3^{7} x^{4}\left(20947985\theta^4-10090640\theta^3-84622092\theta^2-45836384\theta-9522442\right)-2 3^{12} x^{5}\left(14540887\theta^4+64060996\theta^3-24278536\theta^2-23929102\theta-6530971\right)+2 3^{17} x^{6}\left(9831565\theta^4-28112664\theta^3+362922\theta^2+7678170\theta+2970162\right)+2 3^{22} x^{7}\left(10348339\theta^4+14853308\theta^3+24479278\theta^2+15836460\theta+3742209\right)+3^{30} x^{8}\left(4877\theta^4-351136\theta^3-673240\theta^2-473040\theta-113516\right)-3^{35} x^{9}\left(31925\theta^4+116220\theta^3+114644\theta^2+42510\theta+4601\right)-3^{43} x^{10}\left(111\theta^4+264\theta^3+266\theta^2+134\theta+28\right)-3^{48} x^{11}\left((\theta+1)^4\right)\)

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Coefficients of the holomorphic solution: 1, -45, 3591, -147771, -62088201, ...
--> OEIS
Normalized instanton numbers (n0=1): 26, -15173, 1205094, -256830529, 38564264386, ... ; Common denominator:...

Discriminant

\(-(243z+1)(14348907z^4+5668704z^3-75330z^2-520z-1)(-1-429z+137781z^2+4782969z^3)^2\)

Local exponents

≈\(-0.031447\)\(-\frac{ 1}{ 243}\) ≈\(-0.001576\)\(0\) ≈\(0.004217\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)
\(3\)\(1\)\(3\)\(0\)\(3\)\(1\)\(1\)
\(4\)\(2\)\(4\)\(0\)\(4\)\(2\)\(1\)

Note:

This is operator "11.15" from ...

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