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You searched for: sol=27330832

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1

New Number: 13.4 |  AESZ:  |  Superseeker: 128 341632  |  Hash: e2189010cb583bd9f4eab25b75b409cf  

Degree: 13

\(\theta^4-2^{5} x\left(4\theta^4+34\theta^3+28\theta^2+11\theta+2\right)-2^{8} x^{2}\left(380\theta^4-872\theta^3-2096\theta^2-1252\theta-351\right)+2^{14} x^{3}\left(1572\theta^4+2760\theta^3-6140\theta^2-4788\theta-1727\right)+2^{18} x^{4}\left(112\theta^4-71968\theta^3+30800\theta^2+34304\theta+16775\right)-2^{25} x^{5}\left(25792\theta^4-66000\theta^3+21380\theta^2+29896\theta+17669\right)+2^{30} x^{6}\left(147184\theta^4-74240\theta^3+128248\theta^2+131808\theta+68259\right)-2^{36} x^{7}\left(204848\theta^4+52096\theta^3+180984\theta^2+135280\theta+61687\right)+2^{42} x^{8}\left(149520\theta^4+15104\theta^3-78056\theta^2-161888\theta-66647\right)-2^{49} x^{9}\left(15408\theta^4-100672\theta^3-280440\theta^2-315312\theta-124965\right)-2^{56} x^{10}\left(10256\theta^4+80960\theta^3+191000\theta^2+198384\theta+76409\right)+2^{63} x^{11}\left(4880\theta^4+28864\theta^3+65080\theta^2+65776\theta+24913\right)-2^{73} x^{12}\left(112\theta^4+648\theta^3+1448\theta^2+1450\theta+545\right)+2^{79} x^{13}\left((2\theta+3)^4\right)\)

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Coefficients of the holomorphic solution: 1, 64, 4496, 339968, 27330832, ...
--> OEIS
Normalized instanton numbers (n0=1): 128, -4796, 341632, -31623118, 3395329408, ... ; Common denominator:...

Discriminant

\((128z-1)(4096z^2+64z-1)(1048576z^3-28672z^2+160z+1)^2(64z-1)^4\)

Local exponents

\(-\frac{ 1}{ 128}-\frac{ 1}{ 128}\sqrt{ 5}\) ≈\(-0.003609\)\(0\)\(\frac{ 1}{ 128}\)\(-\frac{ 1}{ 128}+\frac{ 1}{ 128}\sqrt{ 5}\) ≈\(0.015476-0.004977I\) ≈\(0.015476+0.004977I\)\(\frac{ 1}{ 64}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 3}{ 2}\)
\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)\(0\)\(\frac{ 3}{ 2}\)
\(1\)\(3\)\(0\)\(1\)\(1\)\(3\)\(3\)\(0\)\(\frac{ 3}{ 2}\)
\(2\)\(4\)\(0\)\(2\)\(2\)\(4\)\(4\)\(0\)\(\frac{ 3}{ 2}\)

Note:

This is operator "13.4" from ...

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2

New Number: 12.18 |  AESZ:  |  Superseeker: 128 341632  |  Hash: 476ad437981e1b49db55e9fb4d6b4187  

Degree: 12

\(\theta^4-2^{5} x\left(2\theta^4+34\theta^3+28\theta^2+11\theta+2\right)-2^{8} x^{2}\left(396\theta^4-600\theta^3-1872\theta^2-1164\theta-335\right)+2^{16} x^{3}\left(294\theta^4+840\theta^3-1067\theta^2-906\theta-348\right)+2^{18} x^{4}\left(4816\theta^4-58528\theta^3+13728\theta^2+19808\theta+11207\right)-2^{24} x^{5}\left(46768\theta^4-73472\theta^3+29032\theta^2+39984\theta+24131\right)+2^{34} x^{6}\left(6276\theta^4-48\theta^3+6201\theta^2+5739\theta+2758\right)-2^{36} x^{7}\left(104432\theta^4+52864\theta^3+81768\theta^2+43456\theta+17559\right)+2^{43} x^{8}\left(22544\theta^4-18880\theta^3-79912\theta^2-102672\theta-42103\right)+2^{50} x^{9}\left(3568\theta^4+40896\theta^3+100264\theta^2+106320\theta+41431\right)-2^{57} x^{10}\left(3344\theta^4+20032\theta^3+45368\theta^2+46032\theta+17489\right)+2^{68} x^{11}\left(48\theta^4+276\theta^3+616\theta^2+617\theta+232\right)-2^{73} x^{12}\left((2\theta+3)^4\right)\)

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Coefficients of the holomorphic solution: 1, 64, 4496, 339968, 27330832, ...
--> OEIS
Normalized instanton numbers (n0=1): 128, -4796, 341632, -31623118, 3395329408, ... ; Common denominator:...

Discriminant

\(\)

No data for singularities

Note:

This is operator "12.18" from ...

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