1
New Number: 2.59 | AESZ: 47 | Superseeker: -384 -164736 | Hash: 792da990d2d2e5263bb789ad37b00d44
Degree: 2
\(\theta^4-2^{4} 3 x(2\theta+1)^2(18\theta^2+18\theta+13)+2^{10} 3^{6} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 624, 685584, 883925760, 1229988226320, ... --> OEIS Normalized instanton numbers (n0=1): -384, -1356, -164736, 96211836, -3267254400, ... ; Common denominator:...
\((1728z-1)^2\)
\(0\) | \(\frac{ 1}{ 1728}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(-\frac{ 1}{ 6}\) | \(1\) |
\(0\) | \(1\) | \(1\) |
\(0\) | \(\frac{ 7}{ 6}\) | \(\frac{ 3}{ 2}\) |
2
New Number: 5.64 | AESZ: 272 | Superseeker: 468/5 11885484 | Hash: 467bb784f4bd6e978748e98f6ea4a573
Degree: 5
\(5^{2} \theta^4-2^{2} 3 5 x\left(1332\theta^4+3528\theta^3+3289\theta^2+1525\theta+285\right)+2^{4} 3^{2} x^{2}\left(331776\theta^4+2602368\theta^3+4533336\theta^2+2996640\theta+724415\right)+2^{8} 3^{5} x^{3}\left(539136\theta^4+622080\theta^3-3024864\theta^2-4008960\theta-1315985\right)-2^{15} 3^{8} x^{4}\left(41472\theta^4+393984\theta^3+735984\theta^2+510912\theta+120811\right)-2^{20} 3^{11} x^{5}(12\theta+7)(12\theta+11)(12\theta+13)(12\theta+17)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 684, 761004, 985011120, 1373164693740, ... --> OEIS Normalized instanton numbers (n0=1): 468/5, -315477/5, 11885484, -14354122356/5, 808514230608, ... ; Common denominator:...
\(-(-1+432z)(1728z+5)^2(1728z-1)^2\)
\(-\frac{ 5}{ 1728}\) | \(0\) | \(\frac{ 1}{ 1728}\) | \(\frac{ 1}{ 432}\) | \(\infty\) |
---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 7}{ 12}\) |
\(1\) | \(0\) | \(-\frac{ 1}{ 6}\) | \(1\) | \(\frac{ 11}{ 12}\) |
\(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 13}{ 12}\) |
\(4\) | \(0\) | \(\frac{ 7}{ 6}\) | \(2\) | \(\frac{ 17}{ 12}\) |
3
New Number: 8.76 | AESZ: | Superseeker: -204 66054580/3 | Hash: a1b606169a188129e64002b152d24330
Degree: 8
\(\theta^4+2^{2} 3 x\left(444\theta^4+744\theta^3+697\theta^2+325\theta+62\right)+2^{7} 3^{2} x^{2}\left(10116\theta^4+27720\theta^3+38031\theta^2+24393\theta+5891\right)+2^{12} 3^{4} x^{3}\left(45468\theta^4+131544\theta^3+190749\theta^2+142371\theta+37390\right)+2^{17} 3^{6} x^{4}\left(148068\theta^4+401112\theta^3+412641\theta^2+216243\theta+39599\right)+2^{23} 3^{9} x^{5}\left(58320\theta^4+161352\theta^3+168390\theta^2+50175\theta-1409\right)+2^{29} 3^{12} x^{6}\left(16200\theta^4+40824\theta^3+53397\theta^2+29754\theta+6131\right)+2^{35} 3^{17} x^{7}\left(360\theta^4+936\theta^3+1038\theta^2+558\theta+119\right)+2^{43} 3^{20} x^{8}(\theta+1)^2(3\theta+2)(3\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -744, 843624, -1099121280, 1536242069160, ... --> OEIS Normalized instanton numbers (n0=1): -204, 6654, 66054580/3, 6573546582, 118182295200, ... ; Common denominator:...
\((432z+1)(864z+1)(1728z+1)^2(497664z^2+288z+1)^2\)
\(-\frac{ 1}{ 432}\) | \(-\frac{ 1}{ 864}\) | \(-\frac{ 1}{ 1728}\) | \(-\frac{ 1}{ 3456}-\frac{ 1}{ 3456}\sqrt{ 23}I\) | \(-\frac{ 1}{ 3456}+\frac{ 1}{ 3456}\sqrt{ 23}I\) | \(0\) | \(\infty\) |
---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
\(1\) | \(1\) | \(-\frac{ 1}{ 6}\) | \(1\) | \(1\) | \(0\) | \(1\) |
\(1\) | \(1\) | \(1\) | \(3\) | \(3\) | \(0\) | \(1\) |
\(2\) | \(2\) | \(\frac{ 7}{ 6}\) | \(4\) | \(4\) | \(0\) | \(\frac{ 4}{ 3}\) |