1
New Number: 3.22 | AESZ: 392 | Superseeker: 166 1016100 | Hash: 5862be5cc4d3ec1686e6b9a6ec08f7e7
Degree: 3
\(\theta^4-2 x\left(230\theta^4+496\theta^3+323\theta^2+75\theta+6\right)-2^{2} 3 x^{2}(6\theta+5)(1866\theta^3+5341\theta^2+4760\theta+1084)-2^{4} 3^{2} 13^{2} x^{3}(6\theta+5)(6\theta+11)(3\theta+1)(3\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 5760, 1664544, 681014880, ... --> OEIS Normalized instanton numbers (n0=1): 166, 8076, 1016100, 189329096, 43879949258, ... ; Common denominator:...
\(-(676z-1)(1+108z)^2\)
| \(-\frac{ 1}{ 108}\) | \(0\) | \(\frac{ 1}{ 676}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(\frac{ 1}{ 3}\) | \(0\) | \(1\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(0\) | \(1\) | \(\frac{ 11}{ 6}\) |
| \(\frac{ 4}{ 3}\) | \(0\) | \(2\) | \(\frac{ 7}{ 3}\) |
2
New Number: 5.108 | AESZ: 365 | Superseeker: 4 1268 | Hash: f84624e83cd4eb2cc90693bd5627efcf
Degree: 5
\(\theta^4-2^{2} x\left(99\theta^4+78\theta^3+65\theta^2+26\theta+4\right)+2^{6} x^{2}\left(938\theta^4+1382\theta^3+1269\theta^2+554\theta+92\right)-2^{10} x^{3}\left(4171\theta^4+8736\theta^3+8690\theta^2+3948\theta+680\right)+2^{15} 5 x^{4}(2\theta+1)(418\theta^3+951\theta^2+846\theta+260)-2^{19} 3 5^{2} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 720, 44800, 3245200, ... --> OEIS Normalized instanton numbers (n0=1): 4, 107/2, 1268, 89439/4, 396908, ... ; Common denominator:...
\(-(108z-1)(2048z^2-128z+1)(-1+80z)^2\)
| \(0\) | \(\frac{ 1}{ 32}-\frac{ 1}{ 64}\sqrt{ 2}\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 80}\) | \(\frac{ 1}{ 32}+\frac{ 1}{ 64}\sqrt{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(3\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(0\) | \(2\) | \(2\) | \(4\) | \(2\) | \(\frac{ 3}{ 2}\) |