1
New Number: 2.35 | AESZ: ~67 | Superseeker: 480 -16034720 | Hash: f06ee3928cd6d738db065f3f83d12160
Degree: 2
\(\theta^4-2^{4} 3 x(2\theta+1)^2(72\theta^2+72\theta+31)+2^{12} 3^{6} x^{2}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1488, 5351184, 24363091200, 123873273392400, ... --> OEIS Normalized instanton numbers (n0=1): 480, -226968, -16034720, 10943202744, -4352645747040, ... ; Common denominator:...
\((6912z-1)^2\)
| \(0\) | \(\frac{ 1}{ 6912}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(\frac{ 1}{ 6}\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(\frac{ 5}{ 6}\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 3}{ 2}\) |
2
New Number: 4.53 | AESZ: 264 | Superseeker: 37216 464865119712 | Hash: 625990ef22ba977bc3dd247ccc791780
Degree: 4
\(\theta^4+2^{4} x\left(3392\theta^4-9344\theta^3-5764\theta^2-1092\theta-93\right)-2^{17} 3 x^{2}\left(1952\theta^4+15200\theta^3-7758\theta^2-2593\theta-323\right)-2^{26} 3^{2} 7 x^{3}\left(11584\theta^4-6912\theta^3-5364\theta^2-1632\theta-167\right)+2^{42} 3^{3} 7^{2} x^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1488, 11258640, 139962144000, 2191135140810000, ... --> OEIS Normalized instanton numbers (n0=1): 37216, -75619080, 464865119712, -2749454414283384, 24030314100181942560, ... ; Common denominator:...
\((27648z-1)(4096z-1)(1+43008z)^2\)
| \(-\frac{ 1}{ 43008}\) | \(0\) | \(\frac{ 1}{ 27648}\) | \(\frac{ 1}{ 4096}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 2}{ 3}\) |
3
New Number: 5.91 | AESZ: 331 | Superseeker: 112 186800 | Hash: a30093d8c1ab2f66122cef8935b79efb
Degree: 5
\(\theta^4+2^{4} x\left(18\theta^4-48\theta^3-33\theta^2-9\theta-1\right)-2^{9} x^{2}\left(86\theta^4+512\theta^3+125\theta^2+45\theta+10\right)-2^{14} x^{3}\left(1138\theta^4+2040\theta^3+1883\theta^2+879\theta+157\right)-2^{19} 7 x^{4}(2\theta+1)(186\theta^3+375\theta^2+317\theta+100)-2^{27} 7^{2} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 1488, 183040, 27611920, ... --> OEIS Normalized instanton numbers (n0=1): 112, -2242, 186800, -11675813, 1250599376, ... ; Common denominator:...
\(-(32z+1)(256z-1)(64z+1)(1+224z)^2\)
| \(-\frac{ 1}{ 32}\) | \(-\frac{ 1}{ 64}\) | \(-\frac{ 1}{ 224}\) | \(0\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(3\) | \(0\) | \(1\) | \(1\) |
| \(2\) | \(2\) | \(4\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |