1
New Number: 4.76 | AESZ: | Superseeker: 6015 9668470011 | Hash: f16cc33931b60f0c5d3a1a0239a01062
Degree: 4
\(\theta^4-3 x\left(2871\theta^4+10926\theta^3+7069\theta^2+1606\theta+136\right)-2^{6} 3^{4} x^{2}\left(12573\theta^4+16677\theta^3-5762\theta^2-2938\theta-348\right)-2^{10} 3^{8} x^{3}\left(14085\theta^4+864\theta^3-29\theta^2+204\theta+44\right)-2^{17} 3^{12} x^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 408, 1616760, 10409448000, 82877787531000, ... --> OEIS Normalized instanton numbers (n0=1): 6015, 3451026, 9668470011, 32924097729576, 144270059475420597, ... ; Common denominator:...
\(-(27z+1)(13824z-1)(1+2592z)^2\)
| \(-\frac{ 1}{ 27}\) | \(-\frac{ 1}{ 2592}\) | \(0\) | \(\frac{ 1}{ 13824}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(\frac{ 2}{ 3}\) |
2
New Number: 8.77 | AESZ: | Superseeker: 91/5 25991/5 | Hash: fa37d863a8d0cc4b7a34e7d9b5e3a1a5
Degree: 8
\(5^{2} \theta^4-5 x\left(693\theta^4+1242\theta^3+931\theta^2+310\theta+40\right)-2^{4} x^{2}\left(659\theta^4+9977\theta^3+17174\theta^2+10200\theta+2160\right)-2^{5} x^{3}\left(7235\theta^4-19374\theta^3-34715\theta^2-7290\theta+1560\right)-2^{8} x^{4}\left(14861\theta^4+40168\theta^3-70511\theta^2-88342\theta-26424\right)-2^{10} x^{5}\left(6973\theta^4+29386\theta^3+99859\theta^2+58446\theta+9864\right)-2^{14} x^{6}\left(6951\theta^4-25713\theta^3-34544\theta^2-14472\theta-1680\right)-2^{15} 11 x^{7}\left(2029\theta^4+5030\theta^3+5139\theta^2+2570\theta+520\right)+2^{18} 3 11^{2} x^{8}(\theta+1)^2(3\theta+2)(3\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 408, 28160, 2360440, ... --> OEIS Normalized instanton numbers (n0=1): 91/5, 1158/5, 25991/5, 192163, 42855113/5, ... ; Common denominator:...
\((z-1)(8z+1)(864z^2+136z-1)(5-24z+352z^2)^2\)
| \(-\frac{ 17}{ 216}-\frac{ 7}{ 216}\sqrt{ 7}\) | \(-\frac{ 1}{ 8}\) | \(0\) | \(-\frac{ 17}{ 216}+\frac{ 7}{ 216}\sqrt{ 7}\) | \(\frac{ 3}{ 88}-\frac{ 1}{ 88}\sqrt{ 101}I\) | \(\frac{ 3}{ 88}+\frac{ 1}{ 88}\sqrt{ 101}I\) | \(1\) | \(\infty\) |
|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(3\) | \(1\) | \(1\) |
| \(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(4\) | \(2\) | \(\frac{ 4}{ 3}\) |
3
New Number: 16.12 | AESZ: | Superseeker: 644 33686276/3 | Hash: 7404efbb9f6ea7f9f47767e4c0319a14
Degree: 16
\(\theta^4+2^{2} x\left(244\theta^4-1096\theta^3-1017\theta^2-469\theta-102\right)-2^{7} x^{2}\left(6880\theta^4+23416\theta^3-23704\theta^2-32167\theta-15345\right)-2^{12} x^{3}\left(113153\theta^4-550050\theta^3-602160\theta^2-409347\theta-5121\right)+2^{16} x^{4}\left(5180356\theta^4+4909796\theta^3+3805572\theta^2-964483\theta-632775\right)-2^{20} x^{5}\left(57912116\theta^4+220612856\theta^3+369961747\theta^2+321640069\theta+133205688\right)+2^{26} 3^{2} x^{6}\left(3335230\theta^4+23883174\theta^3+55731471\theta^2+59241423\theta+26111727\right)+2^{30} 3 x^{7}\left(138627389\theta^4+1043758594\theta^3+3398672757\theta^2+5428677484\theta+3474324555\right)-2^{36} 3 x^{8}\left(178212361\theta^4+1781109910\theta^3+6943057886\theta^2+12445880096\theta+8609393916\right)-2^{41} x^{9}\left(306347392\theta^4+3494924784\theta^3+15467273775\theta^2+31401487755\theta+24645250080\right)+2^{46} x^{10}\left(1346555872\theta^4+18540298208\theta^3+95714831970\theta^2+219162899618\theta+187657830249\right)-2^{50} x^{11}\left(386398880\theta^4+5738560448\theta^3+31530165304\theta^2+76167521656\theta+68494914693\right)-2^{56} x^{12}\left(65461088\theta^4+737270976\theta^3+2844482520\theta^2+4211538840\theta+1624907583\right)+2^{63} x^{13}\left(2159168\theta^4+27966784\theta^3+131159148\theta^2+265135132\theta+194618469\right)+2^{69} x^{14}\left(95936\theta^4+748544\theta^3+1701484\theta^2+328684\theta-1876743\right)-2^{74} 3 x^{15}\left(3440\theta^4+40416\theta^3+177864\theta^2+347256\theta+253575\right)+2^{80} 3^{2} x^{16}\left((2\theta+7)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 408, 126120, 35465344, 9778724520, ... --> OEIS Normalized instanton numbers (n0=1): 644, -56540, 33686276/3, -2690029452, 784608924960, ... ; Common denominator:...
\(\)
No data for singularities