1
New Number: 6.33 | AESZ: | Superseeker: 352 26115552 | Hash: 0677bb20f37d2fa88bafbc665d5157c1
Degree: 6
\(\theta^4-2^{4} x\left(96\theta^4+192\theta^3+404\theta^2+308\theta+85\right)+2^{12} x^{2}\left(112\theta^4+448\theta^3+416\theta^2-64\theta-159\right)+2^{20} x^{3}\left(192\theta^4+1152\theta^3+3448\theta^2+5160\theta+3101\right)-2^{28} x^{4}\left(272\theta^4+2176\theta^3+6880\theta^2+10112\theta+5757\right)-2^{38} 3 x^{5}\left(8\theta^4+80\theta^3+315\theta^2+575\theta+407\right)+2^{48} 3^{2} x^{6}\left((\theta+3)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1360, 1516304, 1522167040, 1444349938960, ... --> OEIS Normalized instanton numbers (n0=1): 352, 60664, 26115552, 16623590600, 13165993300256, ... ; Common denominator:...
\((256z-1)^2(768z-1)^2(256z+1)^2\)
\(-\frac{ 1}{ 256}\) | \(0\) | \(\frac{ 1}{ 768}\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(3\) |
\(0\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(3\) |
\(1\) | \(0\) | \(-2\) | \(\frac{ 1}{ 2}\) | \(3\) |
\(1\) | \(0\) | \(3\) | \(1\) | \(3\) |
2
New Number: 7.18 | AESZ: | Superseeker: 352 26115552 | Hash: df2c3b4e6a3366531b24bb05809eb1a4
Degree: 7
\(\theta^4-2^{4} x\left(144\theta^4-192\theta^3-172\theta^2-76\theta-11\right)+2^{14} x^{2}\left(100\theta^4-320\theta^3-25\theta^2+155\theta+36\right)-2^{21} x^{3}\left(72\theta^4-1248\theta^3+628\theta^2-180\theta-97\right)-2^{30} x^{4}\left(212\theta^4+256\theta^3-14\theta^2+86\theta+15\right)+2^{36} 3 x^{5}\left(240\theta^4-320\theta^3-332\theta^2-380\theta-119\right)+2^{46} 3^{2} x^{6}\left(12\theta^4+64\theta^3+99\theta^2+67\theta+17\right)-2^{56} 3^{3} x^{7}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -176, 17168, -4715264, 653856016, ... --> OEIS Normalized instanton numbers (n0=1): 352, 60664, 26115552, 16623590600, 13165993300256, ... ; Common denominator:...
\(-(256z-1)^2(256z+1)^2(768z-1)^3\)
\(-\frac{ 1}{ 256}\) | \(0\) | \(\frac{ 1}{ 768}\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(0\) | \(0\) | \(2\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(1\) | \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(1\) | \(0\) | \(5\) | \(1\) | \(1\) |