1
New Number: 6.2 | AESZ: | Superseeker: -8 -1552/3 | Hash: fd7b14f2d0f2a78723588771a9b1a984
Degree: 6
\(\theta^4-x\left(280\theta^4+560\theta^3+686\theta^2+406\theta+93\right)+3 x^{2}\left(9296\theta^4+37184\theta^3+66322\theta^2+58276\theta+20863\right)-2 x^{3}\left(594560\theta^4+3567360\theta^3+8664912\theta^2+9941616\theta+4484205\right)+x^{4}\left(21204736\theta^4+169637888\theta^3+520783424\theta^2+726030592\theta+387696585\right)-2^{3} 3^{2} 5^{2} x^{5}(4\theta+9)(4\theta+11)(4144\theta^2+20720\theta+28335)+2^{4} 3^{4} 5^{4} x^{6}(4\theta+9)(4\theta+11)(4\theta+13)(4\theta+15)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 93, 15717/2, 1345795/2, 473123715/8, ... --> OEIS Normalized instanton numbers (n0=1): -8, -44, -1552/3, -8044, -138528, ... ; Common denominator:...
\((100z-1)^2(4z-1)^2(36z-1)^2\)
| \(0\) | \(\frac{ 1}{ 100}\) | \(\frac{ 1}{ 36}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 9}{ 4}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 11}{ 4}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 13}{ 4}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 15}{ 4}\) |
2
New Number: 8.16 | AESZ: 196 | Superseeker: 189/47 9277/47 | Hash: fdeee36c14d9c003b59c1738c024d479
Degree: 8
\(47^{2} \theta^4-47 x\left(2489\theta^4+4984\theta^3+4043\theta^2+1551\theta+235\right)-x^{2}\left(161022+701851\theta+1135848\theta^2+790072\theta^3+208867\theta^4\right)+x^{3}\left(38352+149319\theta+383912\theta^2+637644\theta^3+370857\theta^4\right)-x^{4}\left(1770676+5161283\theta+4424049\theta^2+511820\theta^3-291161\theta^4\right)+x^{5}\left(2151-260936\theta-750755\theta^2-749482\theta^3-406192\theta^4\right)+3^{3} x^{6}\left(5305\theta^4+90750\theta^3+152551\theta^2+91194\theta+17914\right)+2 3^{6} x^{7}\left(106\theta^4+230\theta^3+197\theta^2+82\theta+15\right)-2^{2} 3^{10} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 5, 93, 2507, 81229, ... --> OEIS Normalized instanton numbers (n0=1): 189/47, 979/47, 9277/47, 124795/47, 2049020/47, ... ; Common denominator:...
\(-(-1+53z+90z^2-50z^3+81z^4)(-47-z+54z^2)^2\)
| \(\frac{ 1}{ 108}-\frac{ 1}{ 108}\sqrt{ 10153}\) | \(0\) | \(\frac{ 1}{ 108}+\frac{ 1}{ 108}\sqrt{ 10153}\) | \(#ND+#NDI\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(0\) | \(3\) | \(1\) | \(1\) |
| \(4\) | \(0\) | \(4\) | \(2\) | \(1\) |