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New Number: 8.48 | AESZ: | Superseeker: 359/13 393749/13 | Hash: de7301c14448dbf584c01cc3722d0e58
Degree: 8
\(13^{2} \theta^4-13 x\left(5249\theta^4+4930\theta^3+3687\theta^2+1222\theta+156\right)+2^{4} 3 x^{2}\left(175601\theta^4+188064\theta^3+90243\theta^2+19422\theta+1547\right)-2^{7} x^{3}\left(3336915\theta^4+3777024\theta^3+2377229\theta^2+746148\theta+94185\right)+2^{10} x^{4}\left(8591694\theta^4+11872968\theta^3+7381951\theta^2+2132674\theta+236280\right)-2^{12} x^{5}\left(15421829\theta^4+18326342\theta^3+7032841\theta^2+833608\theta-2718\right)+2^{16} 3^{2} x^{6}\left(334895\theta^4+615600\theta^3+867965\theta^2+590850\theta+138536\right)-2^{19} 3^{4} 7 x^{7}(\theta+1)(2\theta+1)(646\theta^2+1715\theta+1044)+2^{22} 3^{6} 7^{2} x^{8}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 852, 94800, 12860820, ... --> OEIS Normalized instanton numbers (n0=1): 359/13, 9162/13, 393749/13, 23364200/13, 1734245216/13, ... ; Common denominator:...
\((1-261z+6896z^2-6656z^3+36864z^4)(13-928z+4032z^2)^2\)
| \(0\) | \(\frac{ 29}{ 252}-\frac{ 1}{ 504}\sqrt{ 2545}\) | \(\frac{ 29}{ 252}+\frac{ 1}{ 504}\sqrt{ 2545}\) | \(#ND+#NDI\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(3\) | \(3\) | \(1\) | \(1\) |
| \(0\) | \(4\) | \(4\) | \(2\) | \(\frac{ 3}{ 2}\) |