1
New Number: 4.17 | AESZ: | Superseeker: -156 -1229332 | Hash: 245e2566c8da93abbfc4296923ccba12
Degree: 4
\(\theta^4-2^{2} 3 x\left(192\theta^4+384\theta^3+457\theta^2+265\theta+59\right)+2^{4} 3^{2} x^{2}\left(7680\theta^4+30720\theta^3+41040\theta^2+20640\theta+2203\right)+2^{12} 3^{4} x^{3}(192\theta^2+576\theta+571)(2\theta+3)^2+2^{18} 3^{6} x^{4}(2\theta+3)(2\theta+5)(4\theta+7)(4\theta+9)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 708, 700740, 738956400, 811309522500, ... --> OEIS Normalized instanton numbers (n0=1): -156, -12549, -1229332, -175559052, -27542017056, ... ; Common denominator:...
\((-1+1152z+110592z^2)^2\)
\(-\frac{ 1}{ 192}-\frac{ 1}{ 288}\sqrt{ 3}\) | \(0\) | \(s_1\) | \(s_2\) | \(-\frac{ 1}{ 192}+\frac{ 1}{ 288}\sqrt{ 3}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) |
\(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 7}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 9}{ 4}\) |
\(\frac{ 3}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
2
New Number: 5.75 | AESZ: 298 | Superseeker: 205/9 97622/9 | Hash: e52d50673ec5c795512e2bc3e1017b12
Degree: 5
\(3^{4} \theta^4-3^{2} x\left(1993\theta^4+3218\theta^3+2437\theta^2+828\theta+108\right)+2^{5} x^{2}\left(17486\theta^4+25184\theta^3+12239\theta^2+2790\theta+297\right)-2^{8} x^{3}\left(23620\theta^4+34776\theta^3+28905\theta^2+12447\theta+2106\right)+2^{15} x^{4}(2\theta+1)(340\theta^3+618\theta^2+455\theta+129)-2^{22} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 708, 63840, 6989220, ... --> OEIS Normalized instanton numbers (n0=1): 205/9, 3206/9, 97622/9, 496806, 254037095/9, ... ; Common denominator:...
\(-(z-1)(1024z^2-192z+1)(-9+128z)^2\)
\(0\) | \(\frac{ 3}{ 32}-\frac{ 1}{ 16}\sqrt{ 2}\) | \(\frac{ 9}{ 128}\) | \(\frac{ 3}{ 32}+\frac{ 1}{ 16}\sqrt{ 2}\) | \(1\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(4\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |