1
New Number: 4.61 | AESZ: 289 | Superseeker: 8224 15542388128 | Hash: 673413653f5554d4f0cc1a8af33e8bbe
Degree: 4
\(\theta^4-2^{4} x\left(400\theta^4+2720\theta^3+1752\theta^2+392\theta+33\right)-2^{15} x^{2}\left(4272\theta^4+6288\theta^3-3184\theta^2-1484\theta-177\right)-2^{24} 5 x^{3}\left(4688\theta^4-1536\theta^3-1384\theta^2-336\theta-27\right)+2^{36} 5^{2} x^{4}(4\theta+1)(2\theta+1)^2(4\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 528, 2434320, 18496262400, 174225386134800, ... --> OEIS Normalized instanton numbers (n0=1): 8224, 3407456, 15542388128, 54609260446560, 282477571639256928, ... ; Common denominator:...
\((16384z-1)(256z-1)(1+5120z)^2\)
\(-\frac{ 1}{ 5120}\) | \(0\) | \(\frac{ 1}{ 16384}\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
\(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
\(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 4}\) |
2
New Number: 1.12 | AESZ: 12 | Superseeker: 7776 66942277344 | Hash: ad7e2e881b3939396323eb746eb17a58
Degree: 1
\(\theta^4-2^{4} 3 x(6\theta+1)(4\theta+1)(4\theta+3)(6\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 720, 5821200, 75473798400, 1205906199498000, ... --> OEIS Normalized instanton numbers (n0=1): 7776, 13952088, 66942277344, 475338414733416, 4184555647748620320, ... ; Common denominator:...
\(1-27648z\)
\(0\) | \(\frac{ 1}{ 27648}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 1}{ 4}\) |
\(0\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(2\) | \(\frac{ 5}{ 6}\) |
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:...
\(1-65536z\)
\(0\) | \(\frac{ 1}{ 65536}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 8}\) |
\(0\) | \(1\) | \(\frac{ 3}{ 8}\) |
\(0\) | \(1\) | \(\frac{ 5}{ 8}\) |
\(0\) | \(2\) | \(\frac{ 7}{ 8}\) |