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New Number: 8.39 | AESZ: | Superseeker: -12/5 136/3 | Hash: c1330764e09752f7bb8e86b15541c588
Degree: 8
\(5^{2} \theta^4+2 3 5 x\left(51\theta^4+84\theta^3+72\theta^2+30\theta+5\right)+2^{2} 3 x^{2}\left(3297\theta^4+10236\theta^3+13562\theta^2+8110\theta+1830\right)+2^{2} 3^{3} x^{3}\left(3866\theta^4+14088\theta^3+21137\theta^2+14355\theta+3600\right)+2^{3} 3^{3} x^{4}\left(11680\theta^4+38792\theta^3+45641\theta^2+24205\theta+4854\right)+2^{4} 3^{5} x^{5}\left(2624\theta^4+8240\theta^3+8275\theta^2+2971\theta+216\right)+2^{5} 3^{5} x^{6}\left(3248\theta^4+8832\theta^3+9739\theta^2+4803\theta+882\right)+2^{7} 3^{7} x^{7}\left(144\theta^4+384\theta^3+428\theta^2+233\theta+51\right)+2^{9} 3^{7} x^{8}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -6, 54, -348, -3690, ... --> OEIS Normalized instanton numbers (n0=1): -12/5, -21/5, 136/3, -1743/10, -1056/5, ... ; Common denominator:...
\((1+54z+1152z^2+6048z^3+3456z^4)(5+18z+72z^2)^2\)
≈\(-1.540068\) | ≈\(-0.152177\) | \(-\frac{ 1}{ 8}-\frac{ 1}{ 24}\sqrt{ 31}I\) | \(-\frac{ 1}{ 8}+\frac{ 1}{ 24}\sqrt{ 31}I\) | ≈\(-0.028878\) | ≈\(-0.028878\) | \(0\) | \(\infty\) |
---|---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
\(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) |
\(1\) | \(1\) | \(3\) | \(3\) | \(1\) | \(1\) | \(0\) | \(1\) |
\(2\) | \(2\) | \(4\) | \(4\) | \(2\) | \(2\) | \(0\) | \(\frac{ 5}{ 4}\) |