1
New Number: 2.12 | AESZ: 64 | Superseeker: 432 78259376 | Hash: 43991f21e20c16ab91690259b788b4cd
Degree: 2
\(\theta^4-2^{2} 3 x(6\theta+1)(6\theta+5)(10\theta^2+10\theta+3)+2^{4} 3^{4} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 180, 207900, 379819440, 855338063580, ... --> OEIS Normalized instanton numbers (n0=1): 432, 130842, 78259376, 68104755558, 73096116588720, ... ; Common denominator:...
\((3888z-1)(432z-1)\)
\(0\) | \(\frac{ 1}{ 3888}\) | \(\frac{ 1}{ 432}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 11}{ 6}\) |
2
New Number: 2.16 | AESZ: 65 | Superseeker: 240 19105840 | Hash: 13ba368bcbb10731ac8727b510731ff2
Degree: 2
\(\theta^4-2^{4} 3 x(6\theta+1)(6\theta+5)(3\theta^2+3\theta+1)+2^{9} 3^{2} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 240, 277200, 457416960, 904864680720, ... --> OEIS Normalized instanton numbers (n0=1): 240, 57102, 19105840, 14810143935, 10017820614480, ... ; Common denominator:...
\((3456z-1)(1728z-1)\)
\(0\) | \(\frac{ 1}{ 3456}\) | \(\frac{ 1}{ 1728}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 11}{ 6}\) |
3
New Number: 2.19 | AESZ: 112 | Superseeker: -288 -96055968 | Hash: 9a988f0cb0ca922885043cdadf98dd79
Degree: 2
\(\theta^4-2^{4} 3 x(6\theta+1)(6\theta+5)(8\theta^2+8\theta+3)+2^{12} 3^{2} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 720, 2273040, 9605756160, 46308725583120, ... --> OEIS Normalized instanton numbers (n0=1): -288, 162504, -96055968, 106571782296, -135291308081760, ... ; Common denominator:...
\((6912z-1)^2\)
\(0\) | \(\frac{ 1}{ 6912}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 11}{ 6}\) |
4
New Number: 2.23 | AESZ: 136 | Superseeker: 180 -21847076 | Hash: ff626c2fb953cb886f45f717a6a98a20
Degree: 2
\(\theta^4-2^{2} 3^{2} x(6\theta+1)(6\theta+5)(3\theta^2+3\theta+1)+2^{4} 3^{5} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 180, 124740, 85765680, 12047014980, ... --> OEIS Normalized instanton numbers (n0=1): 180, -15615, -21847076, -7438074210, 255591208800, ... ; Common denominator:...
\(1-3888z+5038848z^2\)
\(0\) | \(\frac{ 1}{ 2592}-\frac{ 1}{ 7776}\sqrt{ 3}I\) | \(\frac{ 1}{ 2592}+\frac{ 1}{ 7776}\sqrt{ 3}I\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 11}{ 6}\) |
5
New Number: 2.27 | AESZ: 140 | Superseeker: 108 -4945756 | Hash: 74692097f8183c067c2c4b1a5c93387b
Degree: 2
\(\theta^4-2^{2} 3 x(6\theta+1)(6\theta+5)(17\theta^2+17\theta+6)+2^{7} 3^{4} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 360, 582120, 1274232960, 3204505984680, ... --> OEIS Normalized instanton numbers (n0=1): 108, 54135, -4945756, 7925523138, -2434666062240, ... ; Common denominator:...
\((3888z-1)(3456z-1)\)
\(0\) | \(\frac{ 1}{ 3888}\) | \(\frac{ 1}{ 3456}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 11}{ 6}\) |
6
New Number: 2.30 | AESZ: 143 | Superseeker: -1008 -607849200 | Hash: e9217db4c6dcfdb9588bab85e6a5f136
Degree: 2
\(\theta^4-2^{2} 3^{2} x(6\theta+1)(6\theta+5)(18\theta^2+18\theta+7)+2^{4} 3^{8} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1260, 6860700, 49707337680, 409490086185180, ... --> OEIS Normalized instanton numbers (n0=1): -1008, 499086, -607849200, 1097705372526, -2467344815777520, ... ; Common denominator:...
\((11664z-1)^2\)
\(0\) | \(\frac{ 1}{ 11664}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(\frac{ 1}{ 3}\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(\frac{ 2}{ 3}\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 11}{ 6}\) |
7
New Number: 2.34 | AESZ: | Superseeker: -3936 -10892932064 | Hash: 3047f1b969ee26b92708d8eab03c0aed
Degree: 2
\(\theta^4-2^{4} 3 x(6\theta+1)(6\theta+5)(32\theta^2+32\theta+13)+2^{16} 3^{2} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 3120, 41302800, 722261379840, 14304149060881680, ... --> OEIS Normalized instanton numbers (n0=1): -3936, 3550992, -10892932064, 48014348072136, -264897451764337440, ... ; Common denominator:...
\((27648z-1)^2\)
\(0\) | \(\frac{ 1}{ 27648}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(\frac{ 1}{ 4}\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(\frac{ 3}{ 4}\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 11}{ 6}\) |
8
New Number: 2.38 | AESZ: 61 | Superseeker: -41184 -5124430612320 | Hash: 191cd9ad5f43862072f3be6811803748
Degree: 2
\(\theta^4-2^{4} 3^{2} x(6\theta+1)(6\theta+5)(72\theta^2+72\theta+31)+2^{12} 3^{8} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 22320, 2060205840, 248752033770240, 33839074380496104720, ... --> OEIS Normalized instanton numbers (n0=1): -41184, 251271360, -5124430612320, 160031225395327320, -6251395923736354968480, ... ; Common denominator:...
\((186624z-1)^2\)
\(0\) | \(\frac{ 1}{ 186624}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(\frac{ 1}{ 6}\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(\frac{ 5}{ 6}\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 11}{ 6}\) |
9
New Number: 2.4 | AESZ: 62 | Superseeker: 372 71562236 | Hash: 07a3fd7577f878056e765831c6820f3d
Degree: 2
\(\theta^4-2^{2} 3 x(6\theta+1)(6\theta+5)(7\theta^2+7\theta+2)-2^{7} 3^{2} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 120, 138600, 228708480, 463140798120, ... --> OEIS Normalized instanton numbers (n0=1): 372, 136182, 71562236, 63364481358, 65860679690400, ... ; Common denominator:...
\(-(432z+1)(3456z-1)\)
\(-\frac{ 1}{ 432}\) | \(0\) | \(\frac{ 1}{ 3456}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 11}{ 6}\) |
10
New Number: 2.66 | AESZ: | Superseeker: -192 -229568 | Hash: 0fb32be57a9fcd1b243f9e1341b39d45
Degree: 2
\(\theta^4-2^{2} 3 x(6\theta+1)(6\theta+5)(2\theta^2+2\theta+1)+2^{4} 3^{2} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 60, 13860, 4084080, 1338557220, ... --> OEIS Normalized instanton numbers (n0=1): -192, 4182, -229568, 19136058, -2006581440, ... ; Common denominator:...
\((432z-1)^2\)
\(0\) | \(\frac{ 1}{ 432}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 11}{ 6}\) |