1
New Number: 15.2 | AESZ: | Superseeker: 2 38 | Hash: 76d5c5e186c39f14d8f32dfa0f13e22a
Degree: 15
\(\theta^4+2 x\left(73\theta^4+40\theta^3+47\theta^2+27\theta+6\right)+2^{2} x^{2}\left(2349\theta^4+2724\theta^3+3516\theta^2+2273\theta+614\right)+2^{3} x^{3}\left(44091\theta^4+80304\theta^3+115043\theta^2+84574\theta+26356\right)+2^{5} x^{4}\left(269591\theta^4+678346\theta^3+1084179\theta^2+893856\theta+309842\right)+2^{8} x^{5}\left(568775\theta^4+1835004\theta^3+3266314\theta^2+2971734\theta+1120498\right)+2^{11} x^{6}\left(856369\theta^4+3369012\theta^3+6631886\theta^2+6564309\theta+2651780\right)+2^{11} x^{7}\left(7508036\theta^4+34719008\theta^3+74840604\theta^2+79593816\theta+34039943\right)+2^{13} x^{8}\left(12098492\theta^4+63919352\theta^3+149239952\theta^2+168641212\theta+75569097\right)+2^{16} x^{9}\left(7179524\theta^4+42349744\theta^3+105902696\theta^2+125838704\theta+58525593\right)+2^{19} x^{10}\left(3117952\theta^4+20136896\theta^3+53326176\theta^2+65967996\theta+31556287\right)+2^{21} x^{11}\left(1949840\theta^4+13550976\theta^3+37571920\theta^2+47915544\theta+23371681\right)+2^{23} x^{12}\left(851424\theta^4+6266688\theta^3+17985676\theta^2+23424156\theta+11560933\right)+2^{26} x^{13}\left(122784\theta^4+942720\theta^3+2770088\theta^2+3654240\theta+1815239\right)+2^{31} 5 x^{14}\left(524\theta^4+4136\theta^3+12323\theta^2+16373\theta+8173\right)+2^{36} 5^{2} x^{15}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -12, 136, -1632, 21296, ... --> OEIS Normalized instanton numbers (n0=1): 2, -29/4, 38, -2077/8, 2034, ... ; Common denominator:...
\((4z+1)(64z^2+24z+1)^2(160z^2+32z+1)^2(2z+1)^3(8z+1)^3\)
| \(-\frac{ 1}{ 2}\) | \(-\frac{ 3}{ 16}-\frac{ 1}{ 16}\sqrt{ 5}\) | \(-\frac{ 1}{ 4}\) | \(-\frac{ 1}{ 10}-\frac{ 1}{ 40}\sqrt{ 6}\) | \(-\frac{ 1}{ 8}\) | \(-\frac{ 3}{ 16}+\frac{ 1}{ 16}\sqrt{ 5}\) | \(-\frac{ 1}{ 10}+\frac{ 1}{ 40}\sqrt{ 6}\) | \(0\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(2\) |
| \(2\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(2\) |
| \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(3\) | \(0\) | \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(2\) |
| \(5\) | \(1\) | \(2\) | \(4\) | \(0\) | \(1\) | \(4\) | \(0\) | \(2\) |
2
New Number: 16.16 | AESZ: | Superseeker: 368 2223792 | Hash: cb63667ce6ab5ee8bbd15f2f42131e1b
Degree: 16
\(\theta^4-2^{3} x\left(8\theta^4+340\theta^3+268\theta^2+98\theta+17\right)-2^{6} x^{2}\left(8168\theta^4+12440\theta^3-15934\theta^2-17544\theta-6943\right)-2^{11} x^{3}\left(45916\theta^4-111756\theta^3-171918\theta^2-131805\theta-24415\right)+2^{12} x^{4}\left(3809536\theta^4+5399840\theta^3+9867864\theta^2+7180376\theta+2158825\right)-2^{20} x^{5}\left(551864\theta^4+2050994\theta^3+3153877\theta^2+2299060\theta+833317\right)+2^{22} x^{6}\left(365384\theta^4+2086728\theta^3+60954\theta^2-7175844\theta-6824113\right)+2^{25} x^{7}\left(7491184\theta^4+56611952\theta^3+184122960\theta^2+289483532\theta+180904967\right)-2^{28} x^{8}\left(15242656\theta^4+143150176\theta^3+536869976\theta^2+940895864\theta+642764281\right)-2^{35} x^{9}\left(344968\theta^4+4155516\theta^3+19641672\theta^2+42019650\theta+34190687\right)+2^{38} x^{10}\left(2533416\theta^4+33180600\theta^3+165711314\theta^2+371280128\theta+313733969\right)-2^{42} x^{11}\left(789320\theta^4+11533112\theta^3+62901156\theta^2+151695242\theta+136669133\right)-2^{44} x^{12}\left(121856\theta^4-421728\theta^3-13434024\theta^2-56826792\theta-71106279\right)+2^{52} x^{13}\left(8320\theta^4+101786\theta^3+440511\theta^2+790310\theta+476913\right)-2^{54} x^{14}\left(1928\theta^4+38504\theta^3+239914\theta^2+609892\theta+553167\right)-2^{57} 3 x^{15}\left(208\theta^4+2064\theta^3+7104\theta^2+9252\theta+2691\right)+2^{60} 3^{2} x^{16}\left((2\theta+7)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 136, 21936, 6207872, 2654088976, ... --> OEIS Normalized instanton numbers (n0=1): 368, -6434, 2223792, 7045475, 63017278672, ... ; Common denominator:...
\(\)
No data for singularities