1
New Number: 3.24 | AESZ: | Superseeker: -2 -108 | Hash: 3c89cc2017daa2eba88c016b8ae5865c
Degree: 3
\(\theta^4+2 x(2\theta+1)^2(3\theta^2+3\theta+1)-2^{2} x^{2}(2\theta+1)(2\theta+3)(47\theta^2+94\theta+51)+2^{4} 7 x^{3}(2\theta+1)(2\theta+3)^2(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -2, 54, -980, 26950, ... --> OEIS Normalized instanton numbers (n0=1): -2, 17, -108, 1498, -19630, ... ; Common denominator:...
\((16z-1)(112z^2-40z-1)\)
\(\frac{ 5}{ 28}-\frac{ 1}{ 7}\sqrt{ 2}\) | \(0\) | \(\frac{ 1}{ 16}\) | \(\frac{ 5}{ 28}+\frac{ 1}{ 7}\sqrt{ 2}\) | \(\infty\) |
---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
\(2\) | \(0\) | \(2\) | \(2\) | \(\frac{ 5}{ 2}\) |
2
New Number: 5.96 | AESZ: 339 | Superseeker: 12 28 | Hash: 41593acc689cf76c174442db98218947
Degree: 5
\(\theta^4-2^{2} x\left(10\theta^4+50\theta^3+39\theta^2+14\theta+2\right)+2^{4} x^{2}\left(177\theta^4+1158\theta^3+2007\theta^2+1158\theta+230\right)+2^{8} x^{3}\left(539\theta^4+1344\theta^3-300\theta^2-1068\theta-340\right)+2^{10} 5 x^{4}(2\theta+1)(4\theta^3-642\theta^2-1002\theta-385)-2^{13} 3 5^{2} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 0, -6400, -249200, ... --> OEIS Normalized instanton numbers (n0=1): 12, -339/2, 28, 27639/2, 634692, ... ; Common denominator:...
\(-(55296z^3-5632z^2+80z-1)(1+20z)^2\)
\(-\frac{ 1}{ 20}\) | \(0\) | ≈\(0.007072-0.012497I\) | ≈\(0.007072+0.012497I\) | ≈\(0.087707\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 2}{ 3}\) |
\(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 4}{ 3}\) |
\(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
3
New Number: 1.7 | AESZ: 7 | Superseeker: 14752 711860273440 | Hash: b899892fb606c7eeb86a2cc55f92d6f2
Degree: 1
\(\theta^4-2^{4} x(8\theta+1)(8\theta+3)(8\theta+5)(8\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1680, 32432400, 999456057600, 37905932634570000, ... --> OEIS Normalized instanton numbers (n0=1): 14752, 64417456, 711860273440, 11596528012396656, 233938237312624658400, ... ; Common denominator:...
\(1-65536z\)
\(0\) | \(\frac{ 1}{ 65536}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 8}\) |
\(0\) | \(1\) | \(\frac{ 3}{ 8}\) |
\(0\) | \(1\) | \(\frac{ 5}{ 8}\) |
\(0\) | \(2\) | \(\frac{ 7}{ 8}\) |