1
New Number: 2.11 | AESZ: 69 | Superseeker: 64 246848 | Hash: 729adc350de26d9415643078ed8d3867
Degree: 2
\(\theta^4-2^{2} x(4\theta+1)(4\theta+3)(10\theta^2+10\theta+3)+2^{4} 3^{2} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 36, 6300, 1718640, 575675100, ... --> OEIS Normalized instanton numbers (n0=1): 64, 2616, 246848, 32024824, 5160268864, ... ; Common denominator:...
\((576z-1)(64z-1)\)
\(0\) | \(\frac{ 1}{ 576}\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 7}{ 4}\) |
2
New Number: 2.15 | AESZ: 38 | Superseeker: 48 73328 | Hash: 9ce26bb7405c3b98d8aeae5b1102c611
Degree: 2
\(\theta^4-2^{4} x(4\theta+1)(4\theta+3)(3\theta^2+3\theta+1)+2^{9} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 48, 8400, 2069760, 609008400, ... --> OEIS Normalized instanton numbers (n0=1): 48, 998, 73328, 7388135, 857248528, ... ; Common denominator:...
\((512z-1)(256z-1)\)
\(0\) | \(\frac{ 1}{ 512}\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 7}{ 4}\) |
3
New Number: 2.22 | AESZ: 135 | Superseeker: 36 -206716/3 | Hash: 85e55291bd94bb32087b43f104c60645
Degree: 2
\(\theta^4-2^{2} 3 x(4\theta+1)(4\theta+3)(3\theta^2+3\theta+1)+2^{4} 3^{3} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 36, 3780, 388080, 8108100, ... --> OEIS Normalized instanton numbers (n0=1): 36, -477, -206716/3, -4431924, -27005472, ... ; Common denominator:...
\(1-576z+110592z^2\)
\(0\) | \(\frac{ 1}{ 384}-\frac{ 1}{ 1152}\sqrt{ 3}I\) | \(\frac{ 1}{ 384}+\frac{ 1}{ 1152}\sqrt{ 3}I\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 7}{ 4}\) |
4
New Number: 2.26 | AESZ: 139 | Superseeker: 44 22500 | Hash: f5d9215987323abcff6ed8709927af5d
Degree: 2
\(\theta^4-2^{2} x(4\theta+1)(4\theta+3)(17\theta^2+17\theta+6)+2^{7} 3^{2} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 72, 17640, 5765760, 2156754600, ... --> OEIS Normalized instanton numbers (n0=1): 44, 607, 22500, 1444678, 128626784, ... ; Common denominator:...
\((576z-1)(512z-1)\)
\(0\) | \(\frac{ 1}{ 576}\) | \(\frac{ 1}{ 512}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 7}{ 4}\) |
5
New Number: 2.33 | AESZ: | Superseeker: -160 -539680 | Hash: 83a66e92381baa083f87a13e02375bc9
Degree: 2
\(\theta^4-2^{4} x(4\theta+1)(4\theta+3)(32\theta^2+32\theta+13)+2^{16} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 624, 1251600, 3268151040, 9627237219600, ... --> OEIS Normalized instanton numbers (n0=1): -160, -6920, -539680, -54568560, -6402958560, ... ; Common denominator:...
\((4096z-1)^2\)
\(0\) | \(\frac{ 1}{ 4096}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(0\) | \(\frac{ 1}{ 4}\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(\frac{ 3}{ 4}\) | \(\frac{ 5}{ 4}\) |
\(0\) | \(1\) | \(\frac{ 7}{ 4}\) |
6
New Number: 2.37 | AESZ: | Superseeker: -2592 81451104 | Hash: fb56d2f39692cfb98f66d467355b3c99
Degree: 2
\(\theta^4-2^{4} 3 x(4\theta+1)(4\theta+3)(72\theta^2+72\theta+31)+2^{12} 3^{6} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 4464, 62430480, 1125574813440, 22774986122288400, ... --> OEIS Normalized instanton numbers (n0=1): -2592, -307800, 81451104, 144135316512, 98667659422368, ... ; Common denominator:...
\((27648z-1)^2\)
\(0\) | \(\frac{ 1}{ 27648}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(0\) | \(\frac{ 1}{ 6}\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(\frac{ 5}{ 6}\) | \(\frac{ 5}{ 4}\) |
\(0\) | \(1\) | \(\frac{ 7}{ 4}\) |
7
New Number: 2.3 | AESZ: 68 | Superseeker: 52 220220 | Hash: 13a48045ff0a42a9fcfbdb710baf1997
Degree: 2
\(\theta^4-2^{2} x(4\theta+1)(4\theta+3)(7\theta^2+7\theta+2)-2^{7} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 4200, 1034880, 311711400, ... --> OEIS Normalized instanton numbers (n0=1): 52, 2814, 220220, 29135058, 4512922272, ... ; Common denominator:...
\(-(64z+1)(512z-1)\)
\(-\frac{ 1}{ 64}\) | \(0\) | \(\frac{ 1}{ 512}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 7}{ 4}\) |
8
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:...
\(1-704z-4096z^2\)
\(-\frac{ 11}{ 128}-\frac{ 5}{ 128}\sqrt{ 5}\) | \(0\) | \(-\frac{ 11}{ 128}+\frac{ 5}{ 128}\sqrt{ 5}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 7}{ 4}\) |