1
New Number: 3.6 | AESZ: ~33 | Superseeker: 196 2993772 | Hash: 29aeacb8c7e91c8c2838e65ce2750b5a
Degree: 3
\(\theta^4+2^{2} x\left(60\theta^4-8\theta^3+31\theta^2+35\theta+6\right)-2^{10} x^{2}(4\theta+3)(132\theta^3+395\theta^2+363\theta+69)-2^{14} 7^{2} x^{3}(4\theta+1)(4\theta+3)(4\theta+7)(4\theta+9)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -24, 13992, -920832, 1808021160, ... --> OEIS Normalized instanton numbers (n0=1): 196, 17212, 2993772, 789858520, 260782261024, ... ; Common denominator:...
\(-(784z-1)(1+512z)^2\)
\(-\frac{ 1}{ 512}\) | \(0\) | \(\frac{ 1}{ 784}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 7}{ 4}\) |
\(\frac{ 3}{ 2}\) | \(0\) | \(2\) | \(\frac{ 9}{ 4}\) |
2
New Number: 8.85 | AESZ: | Superseeker: 196 1986884/3 | Hash: d959f61fe3ba327116d3bae5ae5a0ade
Degree: 8
\(\theta^4+2^{2} x\left(68\theta^4-296\theta^3-201\theta^2-53\theta-6\right)-2^{7} x^{2}\left(1192\theta^4+2392\theta^3-1108\theta^2-439\theta-57\right)-2^{12} 3^{2} x^{3}\left(881\theta^4-450\theta^3+2012\theta^2+915\theta+153\right)+2^{16} 3^{2} x^{4}\left(7060\theta^4-11260\theta^3-6320\theta^2-3471\theta-783\right)+2^{20} 3^{4} x^{5}\left(308\theta^4+5480\theta^3-2459\theta^2-3341\theta-990\right)-2^{26} 3^{4} x^{6}\left(2174\theta^4+2754\theta^3+3787\theta^2+2808\theta+801\right)+2^{30} 3^{6} 5 x^{7}(107\theta^2+216\theta+108)(\theta+1)^2-2^{36} 3^{8} 5^{2} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 2472, 412800, 83283624, ... --> OEIS Normalized instanton numbers (n0=1): 196, -5988, 1986884/3, -62128884, 8854857504, ... ; Common denominator:...
\(-(64z+1)(331776z^3-9216z^2+368z-1)(-1-288z+23040z^2)^2\)
\(-\frac{ 1}{ 64}\) | \(\frac{ 1}{ 160}-\frac{ 1}{ 480}\sqrt{ 19}\) | \(0\) | ≈\(0.002907\) | ≈\(0.012435-0.029703I\) | ≈\(0.012435+0.029703I\) | \(\frac{ 1}{ 160}+\frac{ 1}{ 480}\sqrt{ 19}\) | \(\infty\) |
---|---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
\(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(1\) |
\(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(4\) | \(1\) |