Summary

You searched for: inst=59200

Your search produced 2 matches

You can download all data as plain text or as JSON

1

New Number: 12.16 |  AESZ:  |  Superseeker: 288 -8252768  |  Hash: e5412f8624ff9afc10459abda2d297d0  

Degree: 12

\(\theta^4-2^{4} x\left(160\theta^4+224\theta^3+200\theta^2+88\theta+17\right)+2^{12} x^{2}\left(992\theta^4+1184\theta^3+1664\theta^2+1368\theta+399\right)-2^{22} x^{3}\left(1172\theta^4+1104\theta^3+542\theta^2+912\theta+331\right)+2^{28} x^{4}\left(16624\theta^4+15104\theta^3+5408\theta^2-752\theta-1829\right)-2^{37} x^{5}\left(23072\theta^4+16784\theta^3+23748\theta^2+1100\theta-4281\right)+2^{47} x^{6}\left(12696\theta^4+8556\theta^3+18218\theta^2+6591\theta+144\right)-2^{52} x^{7}\left(167440\theta^4+175808\theta^3+289048\theta^2+160176\theta+37033\right)+2^{61} x^{8}\left(96496\theta^4+172672\theta^3+241896\theta^2+158752\theta+44823\right)-2^{70} x^{9}\left(36784\theta^4+100224\theta^3+148008\theta^2+108576\theta+32891\right)+2^{79} x^{10}\left(8720\theta^4+32704\theta^3+54968\theta^2+44784\theta+14529\right)-2^{91} x^{11}\left(144\theta^4+696\theta^3+1352\theta^2+1222\theta+427\right)+2^{99} x^{12}\left((2\theta+3)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 272, 85264, 30040320, 11678489872, ...
--> OEIS
Normalized instanton numbers (n0=1): 288, 59200, -8252768, -1223488576, 585571467872, ... ; Common denominator:...

Discriminant

\((512z-1)(65536z^2-768z+1)(134217728z^3-655360z^2+256z-1)^2(256z-1)^3\)

Local exponents

\(0\) ≈\(3.7e-05-0.001244I\) ≈\(3.7e-05+0.001244I\)\(\frac{ 3}{ 512}-\frac{ 1}{ 512}\sqrt{ 5}\)\(\frac{ 1}{ 512}\)\(\frac{ 1}{ 256}\) ≈\(0.004808\)\(\frac{ 3}{ 512}+\frac{ 1}{ 512}\sqrt{ 5}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 3}{ 2}\)
\(0\)\(1\)\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(\frac{ 3}{ 2}\)
\(0\)\(3\)\(3\)\(1\)\(1\)\(0\)\(3\)\(1\)\(\frac{ 3}{ 2}\)
\(0\)\(4\)\(4\)\(2\)\(2\)\(0\)\(4\)\(2\)\(\frac{ 3}{ 2}\)

Note:

This is operator "12.16" from ...

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

2

New Number: 13.2 |  AESZ:  |  Superseeker: 288 -8252768  |  Hash: ad47c122958add1c452a9858793ef177  

Degree: 13

\(\theta^4-2^{4} x\left(192\theta^4+352\theta^3+392\theta^2+216\theta+49\right)+2^{12} x^{2}\left(1312\theta^4+2912\theta^3+5328\theta^2+4968\theta+1777\right)-2^{21} x^{3}\left(3336\theta^4+7360\theta^3+12252\theta^2+14040\theta+6269\right)+2^{28} x^{4}\left(26000\theta^4+61440\theta^3+92496\theta^2+79216\theta+30659\right)-2^{38} x^{5}\left(19848\theta^4+49192\theta^3+87106\theta^2+61486\theta+15137\right)+2^{46} x^{6}\left(48464\theta^4+126184\theta^3+248968\theta^2+204418\theta+60711\right)-2^{52} x^{7}\left(370576\theta^4+1125248\theta^3+2210040\theta^2+2071840\theta+776313\right)+2^{64} x^{8}\left(32992\theta^4+127280\theta^3+257876\theta^2+261776\theta+109291\right)-2^{71} x^{9}\left(66640\theta^4+329440\theta^3+743448\theta^2+827560\theta+373765\right)+2^{81} x^{10}\left(11376\theta^4+70016\theta^3+181088\theta^2+224296\theta+110253\right)-2^{88} x^{11}\left(9872\theta^4+73152\theta^3+216216\theta^2+297488\theta+159121\right)+2^{99} x^{12}\left(304\theta^4+2640\theta^3+8824\theta^2+13396\theta+7763\right)-2^{108} x^{13}\left((2\theta+5)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 784, 486672, 279216384, 154637278480, ...
--> OEIS
Normalized instanton numbers (n0=1): 288, 59200, -8252768, -1223488576, 585571467872, ... ; Common denominator:...

Discriminant

\(-(1-768z+65536z^2)(512z-1)^2(134217728z^3-655360z^2+256z-1)^2(256z-1)^3\)

Local exponents

\(0\) ≈\(3.7e-05-0.001244I\) ≈\(3.7e-05+0.001244I\)\(\frac{ 3}{ 512}-\frac{ 1}{ 512}\sqrt{ 5}\)\(\frac{ 1}{ 512}\)\(\frac{ 1}{ 256}\) ≈\(0.004808\)\(\frac{ 3}{ 512}+\frac{ 1}{ 512}\sqrt{ 5}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 5}{ 2}\)
\(0\)\(1\)\(1\)\(1\)\(0\)\(0\)\(1\)\(1\)\(\frac{ 5}{ 2}\)
\(0\)\(3\)\(3\)\(1\)\(-1\)\(0\)\(3\)\(1\)\(\frac{ 5}{ 2}\)
\(0\)\(4\)\(4\)\(2\)\(1\)\(0\)\(4\)\(2\)\(\frac{ 5}{ 2}\)

Note:

This is operator "13.2" from ...

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