1
New Number: 5.83 | AESZ: 316 | Superseeker: 852/11 1678156/11 | Hash: b8201d587a016cc013e2477aadb5c1ff
Degree: 5
\(11^{2} \theta^4-2^{2} 3 11 x\left(364\theta^4+824\theta^3+599\theta^2+187\theta+22\right)-2^{5} x^{2}\left(62164\theta^4+84496\theta^3+12499\theta^2-6402\theta-1584\right)-2^{4} 3 x^{3}\left(484016\theta^4+474144\theta^3+366952\theta^2+161832\theta+27027\right)-2^{11} 3^{2} x^{4}(964\theta^2+1360\theta+669)(2\theta+1)^2-2^{16} 3^{4} x^{5}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 3240, 675600, 171901800, ... --> OEIS Normalized instanton numbers (n0=1): 852/11, 21572/11, 1678156/11, 15912512, 22956446184/11, ... ; Common denominator:...
\(-(2304z^3+1664z^2+432z-1)(11+192z)^2\)
≈\(-0.362258-0.240689I\) | ≈\(-0.362258+0.240689I\) | \(-\frac{ 11}{ 192}\) | \(0\) | ≈\(0.002294\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(1\) | \(3\) | \(0\) | \(1\) | \(\frac{ 3}{ 2}\) |
\(2\) | \(2\) | \(4\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
2
New Number: 8.32 | AESZ: 317 | Superseeker: 69/4 14365/12 | Hash: cda8cce31025f51636125bea67a820d1
Degree: 8
\(2^{4} \theta^4-2^{2} 3 x\left(162\theta^4+414\theta^3+335\theta^2+128\theta+20\right)+3^{3} x^{2}\left(1219\theta^4+10906\theta^3+18963\theta^2+11824\theta+2708\right)+3^{5} 5 x^{3}\left(922\theta^4+162\theta^3-6403\theta^2-6576\theta-1964\right)-3^{7} x^{4}\left(10358\theta^4+58054\theta^3+62251\theta^2+29672\theta+4907\right)-3^{9} 5 x^{5}\left(1519\theta^4-1262\theta^3+1371\theta^2+4264\theta+1802\right)+2 3^{11} 5 x^{6}\left(1727\theta^4+3702\theta^3+3085\theta^2+882\theta+17\right)-3^{13} 5^{2} x^{7}\left(239\theta^4+460\theta^3+314\theta^2+84\theta+6\right)-3^{16} 5^{2} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 15, 459, 19545, 1019259, ... --> OEIS Normalized instanton numbers (n0=1): 69/4, -30, 14365/12, 3015/2, 1376205/4, ... ; Common denominator:...
\(-(27z-1)(243z^3+2214z^2-117z+1)(-4-45z+405z^2)^2\)
≈\(-9.163702\) | \(\frac{ 1}{ 18}-\frac{ 1}{ 90}\sqrt{ 105}\) | \(0\) | ≈\(0.010727\) | \(\frac{ 1}{ 27}\) | ≈\(0.041864\) | \(\frac{ 1}{ 18}+\frac{ 1}{ 90}\sqrt{ 105}\) | \(\infty\) |
---|---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
\(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(1\) |
\(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(4\) | \(1\) |