1
New Number: 3.32 | AESZ: | Superseeker: 128 382592 | Hash: 9b39b616939718654c472dbfb37cdd4e
Degree: 3
\(\theta^4-2^{4} x(6\theta^2+6\theta-1)(2\theta+1)^2-2^{10} x^{2}(60\theta^2+120\theta+97)(\theta+1)^2-2^{21} x^{3}(\theta+1)^2(\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, -16, 4624, 678656, 238896400, ... --> OEIS Normalized instanton numbers (n0=1): 128, 4084, 382592, 51510860, 8644861312, ... ; Common denominator:...
\(-(512z-1)(1+64z)^2\)
\(-\frac{ 1}{ 64}\) | \(0\) | \(\frac{ 1}{ 512}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(1\) |
\(-\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) |
\(1\) | \(0\) | \(1\) | \(2\) |
\(\frac{ 3}{ 2}\) | \(0\) | \(2\) | \(2\) |
2
New Number: 5.90 | AESZ: 330 | Superseeker: 352 3284448 | Hash: ba5b66d5fe92237e6416a117563571e9
Degree: 5
\(\theta^4+2^{4} x\left(112\theta^4-64\theta^3-32\theta^2+1\right)+2^{14} x^{2}\left(56\theta^4-64\theta^3+3\theta^2-10\theta-4\right)+2^{20} x^{3}\left(32\theta^4-384\theta^3-436\theta^2-264\theta-55\right)-2^{29} 3 x^{4}(2\theta+1)(10\theta+7)(2\theta^2+4\theta+3)-2^{38} 3^{2} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -16, 4368, -344320, 107445520, ... --> OEIS Normalized instanton numbers (n0=1): 352, -23368, 3284448, -578330224, 120252731680, ... ; Common denominator:...
\(-(-1+256z)(256z+1)^2(768z+1)^2\)
\(-\frac{ 1}{ 256}\) | \(-\frac{ 1}{ 768}\) | \(0\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(1\) |
\(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(1\) | \(1\) |
\(1\) | \(4\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
3
New Number: 5.95 | AESZ: 338 | Superseeker: -140/3 -66092 | Hash: eb4f6d6e59fafa4e794fb664dbdeab3f
Degree: 5
\(3^{2} \theta^4+2^{2} 3 x\left(278\theta^4+424\theta^3+311\theta^2+99\theta+12\right)+2^{5} x^{2}\left(5210\theta^4+3944\theta^3-2635\theta^2-2433\theta-492\right)+2^{8} x^{3}\left(8190\theta^4-3528\theta^3-3991\theta^2-585\theta+114\right)-2^{11} 11 x^{4}(2\theta+1)(86\theta^3+57\theta^2-39\theta-32)+2^{15} 11^{2} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -16, 1608, -243520, 44810920, ... --> OEIS Normalized instanton numbers (n0=1): -140/3, 1293, -66092, 5236719, -1553321056/3, ... ; Common denominator:...
\((2048z^3-640z^2+312z+1)(3+88z)^2\)
\(-\frac{ 3}{ 88}\) | ≈\(-0.003184\) | \(0\) | ≈\(0.157842-0.358378I\) | ≈\(0.157842+0.358378I\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
\(3\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
\(4\) | \(2\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
4
New Number: 14.10 | AESZ: | Superseeker: 2 38 | Hash: 364dddcd3359111a8e01be8efc1de60c
Degree: 14
\(\theta^4+2 x\left(72\theta^4+48\theta^3+59\theta^2+35\theta+8\right)+2^{2} x^{2}\left(2277\theta^4+3252\theta^3+4573\theta^2+3266\theta+992\right)+2^{4} x^{3}\left(20907\theta^4+47634\theta^3+77375\theta^2+65724\theta+24022\right)+2^{7} x^{4}\left(62171\theta^4+199492\theta^3+375946\theta^2+371450\theta+156488\right)+2^{9} x^{5}\left(253302\theta^4+1066440\theta^3+2327568\theta^2+2630202\theta+1250623\right)+2^{10} x^{6}\left(1459436\theta^4+7698000\theta^3+19344508\theta^2+24706800\theta+13098093\right)+2^{12} x^{7}\left(3024300\theta^4+19348248\theta^3+55554208\theta^2+79484188\theta+46581901\right)+2^{15} x^{8}\left(2268548\theta^4+17191376\theta^3+55960360\theta^2+89050336\theta+57303573\right)+2^{18} x^{9}\left(1227744\theta^4+10826688\theta^3+39662704\theta^2+69775740\theta+49021017\right)+2^{20} x^{10}\left(945104\theta^4+9566080\theta^3+39177592\theta^2+75788768\theta+57836847\right)+2^{22} x^{11}\left(502368\theta^4+5772864\theta^3+26266668\theta^2+55590540\theta+45853745\right)+2^{25} x^{12}\left(87264\theta^4+1128192\theta^3+5668024\theta^2+13052400\theta+11573495\right)+2^{30} 5 x^{13}\left(444\theta^4+6408\theta^3+35315\theta^2+87905\theta+83203\right)+2^{35} 5^{2} x^{14}\left((\theta+4)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -16, 196, -2352, 29920, ... --> OEIS Normalized instanton numbers (n0=1): 2, -29/4, 38, -2077/8, 2034, ... ; Common denominator:...
\((4z+1)(2z+1)^2(64z^2+24z+1)^2(160z^2+32z+1)^2(8z+1)^3\)
\(-\frac{ 1}{ 2}\) | \(-\frac{ 3}{ 16}-\frac{ 1}{ 16}\sqrt{ 5}\) | \(-\frac{ 1}{ 4}\) | \(-\frac{ 1}{ 10}-\frac{ 1}{ 40}\sqrt{ 6}\) | \(-\frac{ 1}{ 8}\) | \(-\frac{ 3}{ 16}+\frac{ 1}{ 16}\sqrt{ 5}\) | \(-\frac{ 1}{ 10}+\frac{ 1}{ 40}\sqrt{ 6}\) | \(0\) | \(\infty\) |
---|---|---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(4\) |
\(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(4\) |
\(-2\) | \(\frac{ 1}{ 2}\) | \(1\) | \(3\) | \(0\) | \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(4\) |
\(3\) | \(1\) | \(2\) | \(4\) | \(0\) | \(1\) | \(4\) | \(0\) | \(4\) |