1
New Number: 2.7 | AESZ: 51 | Superseeker: 92 585396 | Hash: e09b9b149b6845daa8d5ef03df33f22d
Degree: 2
\(\theta^4-2^{2} x(4\theta+1)(4\theta+3)(11\theta^2+11\theta+3)-2^{4} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 36, 7980, 2716560, 1127025900, ... --> OEIS Normalized instanton numbers (n0=1): 92, 5052, 585396, 99982012, 21054159152, ... ; Common denominator:...
\(1-704z-4096z^2\)
\(-\frac{ 11}{ 128}-\frac{ 5}{ 128}\sqrt{ 5}\) | \(0\) | \(-\frac{ 11}{ 128}+\frac{ 5}{ 128}\sqrt{ 5}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 7}{ 4}\) |
2
New Number: 4.44 | AESZ: 232 | Superseeker: 379/5 1364199/5 | Hash: 8d5ff690c87757ed51a092dee764eede
Degree: 4
\(5^{2} \theta^4-5 x\left(2617\theta^4+4658\theta^3+3379\theta^2+1050\theta+120\right)+2^{6} 3 x^{2}\left(673\theta^4-4871\theta^3-10282\theta^2-5410\theta-860\right)+2^{10} 3^{2} x^{3}\left(955\theta^4+4320\theta^3+3477\theta^2+1020\theta+100\right)-2^{17} 3^{3} x^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 3960, 974400, 292030200, ... --> OEIS Normalized instanton numbers (n0=1): 379/5, 3346, 1364199/5, 177727432/5, 5658116533, ... ; Common denominator:...
\(-(27z+1)(512z-1)(-5+96z)^2\)
\(-\frac{ 1}{ 27}\) | \(0\) | \(\frac{ 1}{ 512}\) | \(\frac{ 5}{ 96}\) | \(\infty\) |
---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) |
\(2\) | \(0\) | \(2\) | \(4\) | \(\frac{ 2}{ 3}\) |
3
New Number: 5.37 | AESZ: 221 | Superseeker: 492/5 872164/5 | Hash: b7ce7a734c057660ce3d6341a7572078
Degree: 5
\(5^{2} \theta^4-2^{2} 5 x\left(404\theta^4+1096\theta^3+773\theta^2+225\theta+25\right)-2^{4} x^{2}\left(66896\theta^4+137408\theta^3+101096\theta^2+52800\theta+11625\right)-2^{8} 3 5 x^{3}(2\theta+1)(5672\theta^3+9500\theta^2+8422\theta+2689)-2^{15} 3^{2} x^{4}(2\theta+1)(1208\theta^3+2892\theta^2+2842\theta+969)-2^{20} 3^{3} x^{5}(2\theta+1)(6\theta+5)(6\theta+7)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 20, 2988, 618320, 156299500, ... --> OEIS Normalized instanton numbers (n0=1): 492/5, 10376/5, 872164/5, 91316176/5, 12181916784/5, ... ; Common denominator:...
\(-(-1+432z)(16z+1)^2(192z+5)^2\)
\(-\frac{ 1}{ 16}\) | \(-\frac{ 5}{ 192}\) | \(0\) | \(\frac{ 1}{ 432}\) | \(\infty\) |
---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(\frac{ 1}{ 4}\) | \(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(\frac{ 3}{ 4}\) | \(3\) | \(0\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(1\) | \(4\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |