1
New Number: 3.4.1 | AESZ: | Superseeker: | Hash: c059a405cf4b3046b11c01197518c49c
\(\theta^3-5 x(2\theta+1)(26\theta^2+26\theta+5)+x^{2}(\theta+1)(774\theta^2+1548\theta+823)-2 193 x^{3}(2\theta+3)(\theta+2)(\theta+1)+257 x^{4}(\theta+3)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\((257z-1)(z-1)^3\)
| \(0\) | \(1\) | \(\infty\) | \(\frac{ 1}{ 257}\) |
|---|---|---|---|
| \(0\) | \(-\frac{ 3}{ 4}\) | \(1\) | \(0\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(2\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(-\frac{ 1}{ 4}\) | \(3\) | \(1\) |
| \(\) | \(\) | \(\) | \(\) |
2
New Number: 3.4.2 | AESZ: | Superseeker: | Hash: 7ed881d5c6011878b75d16414ccae150
\(\theta^3-x(2\theta+1)(866\theta^2+866\theta+121)+x^{2}(\theta+1)(5190\theta^2+10380\theta+5431)-2 1297 x^{3}(2\theta+3)(\theta+2)(\theta+1)+7 13 19 x^{4}(\theta+3)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\((1729z-1)(z-1)^3\)
| \(0\) | \(1\) | \(\infty\) | \(\frac{ 1}{ 1729}\) |
|---|---|---|---|
| \(0\) | \(-\frac{ 5}{ 6}\) | \(1\) | \(0\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(2\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(-\frac{ 1}{ 6}\) | \(3\) | \(1\) |
| \(\) | \(\) | \(\) | \(\) |
3
New Number: 3.4.3 | AESZ: | Superseeker: | Hash: 8fae5b30dfb4b545adfd8cf16005fd33
\(\theta^3-x(2\theta+1)(56\theta^2+56\theta+13)+5 x^{2}(\theta+1)(66\theta^2+132\theta+71)-2^{2} 41 x^{3}(2\theta+3)(\theta+2)(\theta+1)+109 x^{4}(\theta+3)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\((109z-1)(z-1)^3\)
| \(0\) | \(1\) | \(\infty\) | \(\frac{ 1}{ 109}\) |
|---|---|---|---|
| \(0\) | \(-\frac{ 2}{ 3}\) | \(1\) | \(0\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(2\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(-\frac{ 1}{ 3}\) | \(3\) | \(1\) |
| \(\) | \(\) | \(\) | \(\) |
4
New Number: 3.4.4 | AESZ: | Superseeker: | Hash: 35a2fcb3c8a3c4d7ee29cbf9ba85f7ba
\(5^{4} \theta^3-2 5^{3} x(2\theta+1)(17\theta^2+17\theta+6)-2^{3} 5^{2} 7 x^{2}(\theta+1)(11\theta^2+22\theta+12)-2 3^{2} 5 7 x^{3}(2\theta+3)(\theta+2)(\theta+1)-2^{5} 47 x^{4}(\theta+3)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(-(8z+5)(188z^3+40z^2+1900z-125)\)
| \(0\) | \(s_1\) | \(s_3\) | \(s_2\) | \(\infty\) | \(-\frac{ 5}{ 8}\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(1\) | \(0\) |
| \(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(2\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(1\) |
| \(\) | \(\) | \(\) | \(\) | \(\) | \(\) |