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New Number: 11.11 | AESZ: | Superseeker: 256/31 28062/31 | Hash: dbd551a4eb6b44b1575c949fe3158ad8
Degree: 11
\(31^{2} \theta^4-31 x\theta(790\theta^3+2930\theta^2+1868\theta+403)-x^{2}\left(2814085\theta^4+9964954\theta^3+13382605\theta^2+8541027\theta+2183392\right)-x^{3}\left(77649704\theta^4+350426364\theta^3+626329390\theta^2+517109481\theta+165295596\right)-x^{4}\left(1130950485\theta^4+6282081612\theta^3+13577302372\theta^2+13176194701\theta+4791500140\right)-2 x^{5}\left(5087102169\theta^4+33490353027\theta^3+83662730413\theta^2+91498335797\theta+36413643210\right)-x^{6}\left(59691820411\theta^4+451633384578\theta^3+1266886011283\theta^2+1521913712448\theta+648339514868\right)-2^{2} x^{7}\left(57682690343\theta^4+488627614012\theta^3+1504693262559\theta^2+1947925954210\theta+874695283544\right)-2^{2} x^{8}(\theta+1)(143617960931\theta^3+1184948771451\theta^2+3211500965214\theta+2815433689448)-2^{5} x^{9}(\theta+1)(\theta+2)(27089561480\theta^2+184897066731\theta+314481835312)-2^{6} 3 7 53 x^{10}(\theta+3)(\theta+2)(\theta+1)(9822371\theta+40000042)-2^{9} 3^{2} 7^{2} 53^{2} 359 x^{11}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 142, 4632, 227538, ... --> OEIS Normalized instanton numbers (n0=1): 256/31, 1982/31, 28062/31, 591475/31, 15400630/31, ... ; Common denominator:...
\(-(8z+1)(359z^2+74z-1)(7z+1)^2(6z+1)^2(212z^2+225z+31)^2\)
| \(-\frac{ 225}{ 424}-\frac{ 1}{ 424}\sqrt{ 24337}\) | \(-\frac{ 37}{ 359}-\frac{ 24}{ 359}\sqrt{ 3}\) | \(-\frac{ 1}{ 6}\) | \(-\frac{ 225}{ 424}+\frac{ 1}{ 424}\sqrt{ 24337}\) | \(-\frac{ 1}{ 7}\) | \(-\frac{ 1}{ 8}\) | \(0\) | \(-\frac{ 37}{ 359}+\frac{ 24}{ 359}\sqrt{ 3}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(2\) |
| \(3\) | \(1\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(3\) |
| \(4\) | \(2\) | \(1\) | \(4\) | \(1\) | \(2\) | \(0\) | \(2\) | \(4\) |