1
New Number: 2.14 | AESZ: 48 | Superseeker: 24 5832 | Hash: 8081a3989d09a7d612953dac3341d90c
Degree: 2
\(\theta^4-2^{2} 3 x(3\theta+1)(3\theta+2)(3\theta^2+3\theta+1)+2^{5} 3^{2} x^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 1800, 188160, 23423400, ... --> OEIS Normalized instanton numbers (n0=1): 24, 291/2, 5832, 247116, 12634944, ... ; Common denominator:...
\((216z-1)(108z-1)\)
\(0\) | \(\frac{ 1}{ 216}\) | \(\frac{ 1}{ 108}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 2}{ 3}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 4}{ 3}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 5}{ 3}\) |
2
New Number: 2.1 | AESZ: 45 | Superseeker: 12 3204 | Hash: cdf289f6febf84eb577a238542a57457
Degree: 2
\(\theta^4-2^{2} x(2\theta+1)^2(7\theta^2+7\theta+2)-2^{7} x^{2}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 360, 22400, 1695400, ... --> OEIS Normalized instanton numbers (n0=1): 12, 163, 3204, 107582, 4203360, ... ; Common denominator:...
\(-(16z+1)(128z-1)\)
\(-\frac{ 1}{ 16}\) | \(0\) | \(\frac{ 1}{ 128}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 3}{ 2}\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
3
New Number: 2.26 | AESZ: 139 | Superseeker: 44 22500 | Hash: f5d9215987323abcff6ed8709927af5d
Degree: 2
\(\theta^4-2^{2} x(4\theta+1)(4\theta+3)(17\theta^2+17\theta+6)+2^{7} 3^{2} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 72, 17640, 5765760, 2156754600, ... --> OEIS Normalized instanton numbers (n0=1): 44, 607, 22500, 1444678, 128626784, ... ; Common denominator:...
\((576z-1)(512z-1)\)
\(0\) | \(\frac{ 1}{ 576}\) | \(\frac{ 1}{ 512}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 7}{ 4}\) |
4
New Number: 2.53 | AESZ: 29 | Superseeker: 14 10424/3 | Hash: 92e8a038051b3fb8e0cc6ad6a52b8bfb
Degree: 2
\(\theta^4-2 x(2\theta+1)^2(17\theta^2+17\theta+5)+2^{2} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 10, 438, 28900, 2310070, ... --> OEIS Normalized instanton numbers (n0=1): 14, 303/2, 10424/3, 113664, 4579068, ... ; Common denominator:...
\(1-136z+16z^2\)
\(0\) | \(\frac{ 17}{ 4}-3\sqrt{ 2}\) | \(\frac{ 17}{ 4}+3\sqrt{ 2}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
5
New Number: 2.9 | AESZ: 58 | Superseeker: 16 11056/3 | Hash: 1ca6d3d1c4514db0651efce420265f5a
Degree: 2
\(\theta^4-2^{2} x(2\theta+1)^2(10\theta^2+10\theta+3)+2^{4} 3^{2} x^{2}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 540, 37200, 3131100, ... --> OEIS Normalized instanton numbers (n0=1): 16, 142, 11056/3, 121470, 4971792, ... ; Common denominator:...
\((144z-1)(16z-1)\)
\(0\) | \(\frac{ 1}{ 144}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
6
New Number: 5.42 | AESZ: 231 | Superseeker: 460/3 894404/3 | Hash: 6f793238336123adfdcd7ee17d64e5ec
Degree: 5
\(3^{2} \theta^4-2^{2} 3 x\left(28\theta^4+1016\theta^3+739\theta^2+231\theta+30\right)-2^{9} x^{2}\left(1168\theta^4-968\theta^3-9518\theta^2-5325\theta-1005\right)+2^{16} x^{3}\left(988\theta^4+8208\theta^3-743\theta^2-4230\theta-1245\right)+2^{24} 5 x^{4}(2\theta+1)^2(9\theta^2-279\theta-277)-2^{33} 5^{2} x^{5}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 40, 3240, 313600, 39327400, ... --> OEIS Normalized instanton numbers (n0=1): 460/3, -16828/3, 894404/3, -42271624/3, 2076730720/3, ... ; Common denominator:...
\(-(256z-1)(32768z^2-208z+1)(3+640z)^2\)
\(-\frac{ 3}{ 640}\) | \(0\) | \(\frac{ 13}{ 4096}-\frac{ 7}{ 4096}\sqrt{ 7}I\) | \(\frac{ 13}{ 4096}+\frac{ 7}{ 4096}\sqrt{ 7}I\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
\(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
\(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |