1
New Number: 3.13 | AESZ: | Superseeker: 352 15001120/3 | Hash: b5a6f76d274395537de2c3169fdac9bf
Degree: 3
\(\theta^4-2^{2} x\left(688\theta^4+1232\theta^3+902\theta^2+286\theta+33\right)+2^{4} 3^{2} x^{2}(4\theta+3)(3776\theta^3+10096\theta^2+8268\theta+1515)-2^{10} 3^{4} 5^{2} x^{3}(4\theta+1)(4\theta+3)(4\theta+7)(4\theta+9)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 132, 62748, 43686384, 37830871260, ... --> OEIS Normalized instanton numbers (n0=1): 352, 18676, 15001120/3, 1489325052, 586526654304, ... ; Common denominator:...
\(-(1600z-1)(-1+576z)^2\)
\(0\) | \(\frac{ 1}{ 1600}\) | \(\frac{ 1}{ 576}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 7}{ 4}\) |
\(0\) | \(2\) | \(\frac{ 3}{ 2}\) | \(\frac{ 9}{ 4}\) |
2
New Number: 3.18 | AESZ: 388 | Superseeker: 266 11433160/3 | Hash: 7e11db69c1b7bd8781e54a5eadb0e307
Degree: 3
\(\theta^4-2 x\left(582\theta^4+1164\theta^3+815\theta^2+233\theta+25\right)+2^{2} x^{2}(\theta+1)^2(2316\theta^2+4632\theta+1907)-2^{4} 17^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 50, 17142, 9383540, 6301530550, ... --> OEIS Normalized instanton numbers (n0=1): 266, 19320, 11433160/3, 1106069392, 397606861972, ... ; Common denominator:...
\(-(1156z-1)(4z-1)^2\)
\(0\) | \(\frac{ 1}{ 1156}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(0\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(2\) |
\(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
3
New Number: 3.6 | AESZ: ~33 | Superseeker: 196 2993772 | Hash: 29aeacb8c7e91c8c2838e65ce2750b5a
Degree: 3
\(\theta^4+2^{2} x\left(60\theta^4-8\theta^3+31\theta^2+35\theta+6\right)-2^{10} x^{2}(4\theta+3)(132\theta^3+395\theta^2+363\theta+69)-2^{14} 7^{2} x^{3}(4\theta+1)(4\theta+3)(4\theta+7)(4\theta+9)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -24, 13992, -920832, 1808021160, ... --> OEIS Normalized instanton numbers (n0=1): 196, 17212, 2993772, 789858520, 260782261024, ... ; Common denominator:...
\(-(784z-1)(1+512z)^2\)
\(-\frac{ 1}{ 512}\) | \(0\) | \(\frac{ 1}{ 784}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 7}{ 4}\) |
\(\frac{ 3}{ 2}\) | \(0\) | \(2\) | \(\frac{ 9}{ 4}\) |