You searched for: Spectrum0=0,1,3,4
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31
New Number: 4.66 | AESZ: 300 | Superseeker: -1616 -283183120 | Hash: edc54887effd2ebcaa636dcc93baf0b7
Degree: 4
\(\theta^4+2^{4} x\left(371\theta^4+862\theta^3+591\theta^2+160\theta+15\right)+2^{11} 5 x^{2}\left(224\theta^4+2069\theta^3+3277\theta^2+1363\theta+159\right)-2^{16} 5^{2} x^{3}\left(2089\theta^4+7500\theta^3+5533\theta^2+1500\theta+135\right)+2^{23} 5^{3} x^{4}(5\theta+1)(5\theta+2)(5\theta+3)(5\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -240, 378000, -941740800, 2908743037200, ... --> OEIS Normalized instanton numbers (n0=1): -1616, 265534, -283183120, 351860487150, -525536710386800, ... ; Common denominator:...
\((6400000z^2+6576z+1)(-1+320z)^2\)
| ≈\(-0.000842\) | ≈\(-0.000186\) | \(0\) | \(s_2\) | \(s_1\) | \(\frac{ 1}{ 320}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 5}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 2}{ 5}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(3\) | \(\frac{ 3}{ 5}\) |
| \(2\) | \(2\) | \(0\) | \(2\) | \(2\) | \(4\) | \(\frac{ 4}{ 5}\) |
32
New Number: 4.67 | AESZ: 305 | Superseeker: 1565472 28381748186959008 | Hash: 4ce63e568901a8cef3f9c2f60b6ce2d2
Degree: 4
\(\theta^4+2^{4} 3 x\left(81552\theta^4-94944\theta^3-53688\theta^2-6216\theta-379\right)+2^{20} 3 x^{2}\left(1091952\theta^4-2917008\theta^3+1388032\theta^2+225284\theta+19545\right)-2^{34} 3^{3} 7 x^{3}\left(207504\theta^4-221184\theta^3-157480\theta^2-52224\theta-5855\right)+2^{59} 3^{5} 7^{2} x^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 18192, 178183440, -132466290835200, -18938901463932265200, ... --> OEIS Normalized instanton numbers (n0=1): 1565472, -155959736064, 28381748186959008, -6798945051352302862848, 1905341636283453444266170464, ... ; Common denominator:...
\((57982058496z^2-214272z+1)(1+2064384z)^2\)
| \(-\frac{ 1}{ 2064384}\) | \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 31}{ 16777216}-\frac{ 145}{ 150994944}\sqrt{ 15}I\) | \(\frac{ 31}{ 16777216}+\frac{ 145}{ 150994944}\sqrt{ 15}I\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(2\) | \(\frac{ 2}{ 3}\) |
33
New Number: 4.68 | AESZ: 337 | Superseeker: 2043/5 88982631/5 | Hash: dc26e94a7c1daba6f627be36c42019b7
Degree: 4
\(5^{2} \theta^4-3 5 x\left(3483\theta^4+6102\theta^3+4241\theta^2+1190\theta+120\right)+2^{5} 3^{2} x^{2}\left(31428\theta^4+35559\theta^3+243\theta^2-4320\theta-740\right)-2^{8} 3^{5} x^{3}\left(7371\theta^4+4860\theta^3+2997\theta^2+1080\theta+140\right)+2^{13} 3^{8} x^{4}(3\theta+1)^2(3\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 72, 41400, 37396800, 41397463800, ... --> OEIS Normalized instanton numbers (n0=1): 2043/5, 279018/5, 88982631/5, 8604708876, 25774859896713/5, ... ; Common denominator:...
\((23328z^2-1917z+1)(-5+432z)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 71}{ 1728}-\frac{ 17}{ 1728}\sqrt{ 17}\) | \(\frac{ 5}{ 432}\) | \(\frac{ 71}{ 1728}+\frac{ 17}{ 1728}\sqrt{ 17}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(2\) | \(2\) | \(2\) | \(4\) | \(2\) | \(\frac{ 2}{ 3}\) |
34
New Number: 4.69 | AESZ: 350 | Superseeker: 49 173876/9 | Hash: e6de16eb3758d2ed5687f4b2a2abf36b
Degree: 4
\(\theta^4-x\left(24+184\theta+545\theta^2+722\theta^3+289\theta^4\right)+2^{3} 3 x^{2}\left(214\theta^4+2734\theta^3+4861\theta^2+2640\theta+468\right)+2^{6} 3^{2} x^{3}\left(1391\theta^4+5184\theta^3+4252\theta^2+1296\theta+126\right)+2^{10} 3^{6} x^{4}\left((2\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 1944, 232800, 34133400, ... --> OEIS Normalized instanton numbers (n0=1): 49, 136, 173876/9, 781152, 57087750, ... ; Common denominator:...
\((256z-1)(81z-1)(1+24z)^2\)
| \(-\frac{ 1}{ 24}\) | \(0\) | \(\frac{ 1}{ 256}\) | \(\frac{ 1}{ 81}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 1}{ 2}\) |
35
New Number: 4.70 | AESZ: | Superseeker: 177184 45194569320864 | Hash: 56776b8a011d3f76a664ac5c7f492c1a
Degree: 4
\(\theta^4+2^{4} x\left(22256\theta^4-38432\theta^3-23000\theta^2-3784\theta-321\right)+2^{18} 3^{3} x^{2}\left(1712\theta^4-18448\theta^3+8648\theta^2+2220\theta+279\right)-2^{30} 3^{6} x^{3}\left(4624\theta^4-2304\theta^3-1672\theta^2-576\theta-63\right)+2^{46} 3^{10} x^{4}\left((2\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 5136, 98870544, 2900370796800, 105956691416931600, ... --> OEIS Normalized instanton numbers (n0=1): 177184, -1960034336, 45194569320864, -1351787074724461344, 47485667264376266736480, ... ; Common denominator:...
\((65536z-1)(20736z-1)(1+221184z)^2\)
| \(-\frac{ 1}{ 221184}\) | \(0\) | \(\frac{ 1}{ 65536}\) | \(\frac{ 1}{ 20736}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 1}{ 2}\) |
36
New Number: 4.72 | AESZ: 361 | Superseeker: 20 -119332/9 | Hash: f55eaa640956f064f5230c04d8173d60
Degree: 4
\(\theta^4-2^{2} x\left(80\theta^4+88\theta^3+67\theta^2+23\theta+3\right)+2^{4} 3 x^{2}\left(928\theta^4+2080\theta^3+2176\theta^2+972\theta+153\right)-2^{10} 3^{2} x^{3}\left(272\theta^4+648\theta^3+511\theta^2+162\theta+18\right)+2^{12} 3^{6} x^{4}\left((2\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 324, -6000, -2778300, ... --> OEIS Normalized instanton numbers (n0=1): 20, -139, -119332/9, -462222, -2113440, ... ; Common denominator:...
\((20736z^2-224z+1)(-1+48z)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 7}{ 1296}-\frac{ 1}{ 324}\sqrt{ 2}I\) | \(\frac{ 7}{ 1296}+\frac{ 1}{ 324}\sqrt{ 2}I\) | \(\frac{ 1}{ 48}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(2\) | \(2\) | \(2\) | \(2\) | \(4\) | \(\frac{ 1}{ 2}\) |
37
New Number: 4.73 | AESZ: 362 | Superseeker: -2656 -2493879008 | Hash: 57a424b3b32b72260817cb8c45a8ae8f
Degree: 4
\(\theta^4-2^{4} x\left(1088\theta^4-416\theta^3-212\theta^2-4\theta+3\right)+2^{12} 3^{3} x^{2}\left(928\theta^4-224\theta^3+448\theta^2+108\theta+9\right)-2^{20} 3^{6} x^{3}\left(320\theta^4+288\theta^3+220\theta^2+72\theta+9\right)+2^{28} 3^{10} x^{4}\left((2\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 48, -40176, -103200000, -153639990000, ... --> OEIS Normalized instanton numbers (n0=1): -2656, -1985680, -2493879008, -3906525894360, -6910084057179168, ... ; Common denominator:...
\((5308416z^2-3584z+1)(-1+6912z)^2\)
| \(0\) | \(s_2\) | \(s_1\) | \(\frac{ 1}{ 6912}\) | \(\frac{ 7}{ 20736}-\frac{ 1}{ 5184}\sqrt{ 2}I\) | \(\frac{ 7}{ 20736}+\frac{ 1}{ 5184}\sqrt{ 2}I\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(3\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(2\) | \(2\) | \(4\) | \(2\) | \(2\) | \(\frac{ 1}{ 2}\) |
38
New Number: 4.74 | AESZ: 363 | Superseeker: -207 621972 | Hash: 15f3be0c25c6a6ea1d78414f1cb31713
Degree: 4
\(\theta^4+3^{2} x\left(231\theta^4+318\theta^3+231\theta^2+72\theta+8\right)+2^{3} 3^{5} x^{2}\left(774\theta^4+1854\theta^3+1869\theta^2+768\theta+100\right)+2^{6} 3^{8} x^{3}\left(951\theta^4+2304\theta^3+1740\theta^2+504\theta+50\right)+2^{10} 3^{12} x^{4}(4\theta+1)(2\theta+1)^2(4\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -72, 22680, -9424800, 4199995800, ... --> OEIS Normalized instanton numbers (n0=1): -207, 5544, 621972, -241386048, 59946723846, ... ; Common denominator:...
\((746496z^2+1647z+1)(1+216z)^2\)
| \(-\frac{ 1}{ 216}\) | \(-\frac{ 61}{ 55296}-\frac{ 5}{ 55296}\sqrt{ 15}I\) | \(-\frac{ 61}{ 55296}+\frac{ 5}{ 55296}\sqrt{ 15}I\) | \(0\) | \(s_1\) | \(s_2\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(3\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(4\) | \(2\) | \(2\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 4}\) |
39
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:...
\(-(27z+1)(13824z-1)(1+2592z)^2\)
| \(-\frac{ 1}{ 27}\) | \(-\frac{ 1}{ 2592}\) | \(0\) | \(\frac{ 1}{ 13824}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(\frac{ 2}{ 3}\) |
40
New Number: 5.100 | AESZ: 347 | Superseeker: 15 27140/3 | Hash: f00de20026c099e75b447c475ab287e4
Degree: 5
\(\theta^4-3 x\left(213\theta^4+186\theta^3+149\theta^2+56\theta+8\right)+2^{3} 3^{3} x^{2}\left(702\theta^4+1078\theta^3+949\theta^2+392\theta+60\right)-2^{6} 3^{3} x^{3}\left(9277\theta^4+18432\theta^3+16008\theta^2+6000\theta+840\right)+2^{13} 3^{4} 5 x^{4}(2\theta+1)^2(51\theta^2+69\theta+32)-2^{14} 3^{6} 5^{2} x^{5}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 1944, 218400, 28488600, ... --> OEIS Normalized instanton numbers (n0=1): 15, 1329/4, 27140/3, 220680, 5952570, ... ; Common denominator:...
\(-(192z-1)(1728z^2-207z+1)(-1+120z)^2\)
| \(0\) | \(\frac{ 23}{ 384}-\frac{ 11}{ 1152}\sqrt{ 33}\) | \(\frac{ 1}{ 192}\) | \(\frac{ 1}{ 120}\) | \(\frac{ 23}{ 384}+\frac{ 11}{ 1152}\sqrt{ 33}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(3\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(2\) | \(2\) | \(4\) | \(2\) | \(\frac{ 3}{ 2}\) |
41
New Number: 5.101 | AESZ: 348 | Superseeker: -52 -44772 | Hash: 8759f016475d17d0fc88f4b98a374d3f
Degree: 5
\(\theta^4+2^{2} x\left(70\theta^4+194\theta^3+145\theta^2+48\theta+6\right)-2^{4} 3 x^{2}\left(141\theta^4-858\theta^3-2111\theta^2-1192\theta-206\right)-2^{8} 3^{2} x^{3}\left(18\theta^4-324\theta^3-2364\theta^2-1953\theta-403\right)-2^{10} 3^{4} x^{4}(3\theta+1)(3\theta+2)(42\theta^2+258\theta+223)+2^{14} 3^{6} x^{5}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -24, 2160, -309120, 54608400, ... --> OEIS Normalized instanton numbers (n0=1): -52, 461/2, -44772, 3546761/2, -178670332, ... ; Common denominator:...
\((746496z^3+17280z^2+352z+1)(-1+36z)^2\)
| ≈\(-0.009925-0.017537I\) | ≈\(-0.009925+0.017537I\) | ≈\(-0.003299\) | \(0\) | \(\frac{ 1}{ 36}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(3\) | \(\frac{ 4}{ 3}\) |
| \(2\) | \(2\) | \(2\) | \(0\) | \(4\) | \(\frac{ 5}{ 3}\) |
42
New Number: 5.102 | AESZ: 352 | Superseeker: 1 -12 | Hash: fc8b141522720827b1dd2cd28a232c1b
Degree: 5
\(\theta^4-x\left(70\theta^4+86\theta^3+77\theta^2+34\theta+6\right)+3 x^{2}\left(675\theta^4+1602\theta^3+1933\theta^2+1130\theta+258\right)-2^{2} 3^{3} x^{3}\left(271\theta^4+888\theta^3+1259\theta^2+831\theta+207\right)+2^{2} 3^{5} x^{4}\left(212\theta^4+808\theta^3+1189\theta^2+773\theta+186\right)-2^{4} 3^{7} x^{5}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 54, 492, 3510, ... --> OEIS Normalized instanton numbers (n0=1): 1, -7/8, -12, -131/4, 90, ... ; Common denominator:...
\(-(16z-1)(432z^2-36z+1)(-1+9z)^2\)
| \(0\) | \(\frac{ 1}{ 24}-\frac{ 1}{ 72}\sqrt{ 3}I\) | \(\frac{ 1}{ 24}+\frac{ 1}{ 72}\sqrt{ 3}I\) | \(\frac{ 1}{ 16}\) | \(\frac{ 1}{ 9}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(1\) |
| \(0\) | \(2\) | \(2\) | \(2\) | \(4\) | \(\frac{ 5}{ 4}\) |
43
New Number: 5.103 | AESZ: 354 | Superseeker: 25 17175 | Hash: 0d4263e8c85dceb5c51f8614f7c1bc79
Degree: 5
\(\theta^4-5 x\left(170\theta^4+160\theta^3+125\theta^2+45\theta+6\right)+3 5^{3} x^{2}\left(725\theta^4+1220\theta^3+1105\theta^2+460\theta+68\right)-3^{2} 5^{5} x^{3}\left(1421\theta^4+3186\theta^3+3053\theta^2+1272\theta+188\right)+2^{2} 3^{3} 5^{7} x^{4}(3\theta+1)(3\theta+2)(34\theta^2+61\theta+36)-2^{2} 3^{4} 5^{9} x^{5}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 30, 3150, 462000, 78828750, ... --> OEIS Normalized instanton numbers (n0=1): 25, 2175/4, 17175, 351250, 23000351/5, ... ; Common denominator:...
\(-(2278125z^3-84375z^2+550z-1)(-1+150z)^2\)
| \(0\) | ≈\(0.003863-0.000232I\) | ≈\(0.003863+0.000232I\) | \(\frac{ 1}{ 150}\) | ≈\(0.029311\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(3\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(0\) | \(2\) | \(2\) | \(4\) | \(2\) | \(\frac{ 5}{ 3}\) |
44
New Number: 5.104 | AESZ: 357 | Superseeker: 7/13 21/13 | Hash: afee0651c9b3b8e98079f5c2d5bfa8a5
Degree: 5
\(13^{2} \theta^4-13 x\left(441\theta^4+690\theta^3+631\theta^2+286\theta+52\right)+2^{4} x^{2}\left(5121\theta^4+15576\theta^3+21215\theta^2+13702\theta+3445\right)-2^{10} x^{3}\left(640\theta^4+2847\theta^3+5078\theta^2+4056\theta+1196\right)+2^{14} x^{4}\left(125\theta^4+562\theta^3+905\theta^2+624\theta+157\right)-2^{21} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 4, 20, 112, 916, ... --> OEIS Normalized instanton numbers (n0=1): 7/13, -10/13, 21/13, 296/13, 608/13, ... ; Common denominator:...
\(-(16z-1)(128z^2-13z+1)(-13+32z)^2\)
| \(0\) | \(\frac{ 13}{ 256}-\frac{ 7}{ 256}\sqrt{ 7}I\) | \(\frac{ 13}{ 256}+\frac{ 7}{ 256}\sqrt{ 7}I\) | \(\frac{ 1}{ 16}\) | \(\frac{ 13}{ 32}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(1\) |
| \(0\) | \(2\) | \(2\) | \(2\) | \(4\) | \(1\) |
45
New Number: 5.105 | AESZ: 358 | Superseeker: -336 -4761360 | Hash: f026b6514e3be9b730646bc9410b1049
Degree: 5
\(\theta^4-2^{4} x\left(125\theta^4-62\theta^3-31\theta^2+1\right)+2^{11} x^{2}\left(640\theta^4-287\theta^3+377\theta^2+119\theta+11\right)-2^{16} x^{3}\left(5121\theta^4+4908\theta^3+5213\theta^2+2484\theta+503\right)+2^{23} 13 x^{4}\left(441\theta^4+1074\theta^3+1207\theta^2+670\theta+148\right)-2^{34} 13^{2} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, -880, -180992, -12537584, ... --> OEIS Normalized instanton numbers (n0=1): -336, -30306, -4761360, -962369202, -225176272240, ... ; Common denominator:...
\(-(128z-1)(32768z^2-208z+1)(-1+832z)^2\)
| \(0\) | \(\frac{ 1}{ 832}\) | \(\frac{ 13}{ 4096}-\frac{ 7}{ 4096}\sqrt{ 7}I\) | \(\frac{ 13}{ 4096}+\frac{ 7}{ 4096}\sqrt{ 7}I\) | \(\frac{ 1}{ 128}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(3\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(4\) | \(2\) | \(2\) | \(2\) | \(1\) |
46
New Number: 5.106 | AESZ: 360 | Superseeker: 3169/17 16293835/17 | Hash: 502b9ea354d34405e6925ab32d7f1cd2
Degree: 5
\(17^{2} \theta^4+17 x\left(10622\theta^4-19904\theta^3-13913\theta^2-3961\theta-510\right)+3^{2} x^{2}\left(1596891\theta^4-10821444\theta^3+10580847\theta^2+6358884\theta+1355036\right)-3^{5} x^{3}\left(5472387\theta^4-81131922\theta^3-52565469\theta^2-9898488\theta+1434596\right)+2^{2} 3^{8} 127 x^{4}\left(318018\theta^4+157911\theta^3-445563\theta^2-476706\theta-130792\right)-2^{2} 3^{12} 5 127^{2} x^{5}(5\theta+3)(5\theta+4)(5\theta+6)(5\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 30, 414, -73680, -4205250, ... --> OEIS Normalized instanton numbers (n0=1): 3169/17, -723497/68, 16293835/17, -1870341966/17, 251152956621/17, ... ; Common denominator:...
\(-(2278125z^3-33831z^2+182z-1)(17+6858z)^2\)
| \(-\frac{ 17}{ 6858}\) | \(0\) | ≈\(0.001817-0.005986I\) | ≈\(0.001817+0.005986I\) | ≈\(0.011217\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 5}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 4}{ 5}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 6}{ 5}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 7}{ 5}\) |
47
New Number: 5.107 | AESZ: 364 | Superseeker: 11/5 71/5 | Hash: c5b4bc60bc9d39ea420bd49fad182557
Degree: 5
\(5^{2} \theta^4-5 x\left(553\theta^4+722\theta^3+611\theta^2+250\theta+40\right)+2^{6} x^{2}\left(1914\theta^4+4722\theta^3+5519\theta^2+3010\theta+610\right)-2^{12} x^{3}\left(685\theta^4+2400\theta^3+3466\theta^2+2220\theta+500\right)+2^{19} x^{4}(2\theta+1)(30\theta^3+105\theta^2+122\theta+46)-2^{25} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 120, 2240, 50680, ... --> OEIS Normalized instanton numbers (n0=1): 11/5, -8/5, 71/5, 738, 26841/5, ... ; Common denominator:...
\(-(32768z^3-2560z^2+85z-1)(-5+64z)^2\)
| \(0\) | ≈\(0.023029\) | ≈\(0.027548-0.023797I\) | ≈\(0.027548+0.023797I\) | \(\frac{ 5}{ 64}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(1\) |
| \(0\) | \(2\) | \(2\) | \(2\) | \(4\) | \(\frac{ 3}{ 2}\) |
48
New Number: 5.108 | AESZ: 365 | Superseeker: 4 1268 | Hash: f84624e83cd4eb2cc90693bd5627efcf
Degree: 5
\(\theta^4-2^{2} x\left(99\theta^4+78\theta^3+65\theta^2+26\theta+4\right)+2^{6} x^{2}\left(938\theta^4+1382\theta^3+1269\theta^2+554\theta+92\right)-2^{10} x^{3}\left(4171\theta^4+8736\theta^3+8690\theta^2+3948\theta+680\right)+2^{15} 5 x^{4}(2\theta+1)(418\theta^3+951\theta^2+846\theta+260)-2^{19} 3 5^{2} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 720, 44800, 3245200, ... --> OEIS Normalized instanton numbers (n0=1): 4, 107/2, 1268, 89439/4, 396908, ... ; Common denominator:...
\(-(108z-1)(2048z^2-128z+1)(-1+80z)^2\)
| \(0\) | \(\frac{ 1}{ 32}-\frac{ 1}{ 64}\sqrt{ 2}\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 80}\) | \(\frac{ 1}{ 32}+\frac{ 1}{ 64}\sqrt{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(3\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(0\) | \(2\) | \(2\) | \(4\) | \(2\) | \(\frac{ 3}{ 2}\) |
49
New Number: 5.109 | AESZ: 373 | Superseeker: 50 68472 | Hash: 8b0fbfc0016c3fb02fd42d4ff919e0f8
Degree: 5
\(\theta^4-2 x\left(190\theta^4+308\theta^3+227\theta^2+73\theta+9\right)+2^{2} x^{2}\left(4780\theta^4+6304\theta^3+2395\theta^2+642\theta+135\right)-2^{4} 3 x^{3}\left(6700\theta^4+8472\theta^3+7607\theta^2+3615\theta+648\right)+2^{7} 3^{2} x^{4}(2\theta+1)(760\theta^3+1464\theta^2+1211\theta+375)-2^{10} 3^{6} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 18, 1782, 276660, 52396470, ... --> OEIS Normalized instanton numbers (n0=1): 50, 1299, 68472, 5536032, 555252324, ... ; Common denominator:...
\(-(-1+324z)(24z-1)^2(4z-1)^2\)
| \(0\) | \(\frac{ 1}{ 324}\) | \(\frac{ 1}{ 24}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(0\) | \(2\) | \(4\) | \(1\) | \(\frac{ 3}{ 2}\) |
50
New Number: 5.10 | AESZ: 59 | Superseeker: 30/7 124 | Hash: f47563daeb0f7328bd675f13cfb84a55
Degree: 5
\(7^{2} \theta^4-2 7 x\left(257\theta^4+520\theta^3+435\theta^2+175\theta+28\right)+2^{2} x^{2}\left(13497\theta^4+55536\theta^3+81222\theta^2+50337\theta+11396\right)-2^{3} x^{3}\left(17201\theta^4+114996\theta^3+248466\theta^2+202629\theta+55412\right)-2^{4} x^{4}\left(5762\theta^4+29668\theta^3+48150\theta^2+31741\theta+7412\right)-2^{5} 3 x^{5}(4\theta+5)(3\theta+2)(3\theta+4)(4\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 144, 3680, 114400, ... --> OEIS Normalized instanton numbers (n0=1): 30/7, 129/14, 124, 72129/56, 130434/7, ... ; Common denominator:...
\(-(4z-1)(16z-1)(54z-1)(7+2z)^2\)
| \(-\frac{ 7}{ 2}\) | \(0\) | \(\frac{ 1}{ 54}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 4}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 5}{ 4}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 4}{ 3}\) |
51
New Number: 5.110 | AESZ: 377 | Superseeker: 32/3 6752/3 | Hash: 4b8e1b4341fae957e1766a0071de5ba5
Degree: 5
\(3^{2} \theta^4-2^{3} 3 x\left(61\theta^4+74\theta^3+58\theta^2+21\theta+3\right)+2^{4} x^{2}\left(3883\theta^4+5356\theta^3+3451\theta^2+1278\theta+228\right)-2^{7} x^{3}\left(8067\theta^4+13410\theta^3+12875\theta^2+6336\theta+1236\right)+2^{14} x^{4}\left(413\theta^4+1069\theta^3+1206\theta^2+658\theta+140\right)-2^{19} 3 x^{5}(\theta+1)^2(3\theta+2)(3\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 264, 13760, 873640, ... --> OEIS Normalized instanton numbers (n0=1): 32/3, 731/6, 6752/3, 355219/6, 5936896/3, ... ; Common denominator:...
\(-(4z-1)(108z-1)(8z-1)(-3+64z)^2\)
| \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 3}{ 64}\) | \(\frac{ 1}{ 8}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(2\) | \(4\) | \(2\) | \(2\) | \(\frac{ 4}{ 3}\) |
52
New Number: 5.111 | AESZ: 380 | Superseeker: 12 2320 | Hash: 85214e3836a67470a05358a4d38fb124
Degree: 5
\(\theta^4-2 x\left(60\theta^4+90\theta^3+68\theta^2+23\theta+3\right)+2^{2} x^{2}\left(313\theta^4-398\theta^3-1417\theta^2-1033\theta-252\right)+2^{3} x^{3}\left(654\theta^4+5064\theta^3+3574\theta^2+129\theta-405\right)-2^{4} 5 x^{4}\left(628\theta^4-40\theta^3-1699\theta^2-1661\theta-480\right)-2^{6} 3 5^{2} x^{5}(\theta+1)^2(6\theta+5)(6\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 246, 13020, 832950, ... --> OEIS Normalized instanton numbers (n0=1): 12, 511/4, 2320, 63507, 2180312, ... ; Common denominator:...
\(-(108z-1)(4z+1)^2(10z-1)^2\)
| \(-\frac{ 1}{ 4}\) | \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 10}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
| \(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(3\) | \(1\) |
| \(1\) | \(0\) | \(2\) | \(4\) | \(\frac{ 7}{ 6}\) |
53
New Number: 5.112 | AESZ: 395 | Superseeker: 4 940 | Hash: 2d13c01eaf16983977dfb0325c5f376e
Degree: 5
\(\theta^4-2^{2} x\theta(22\theta^3+8\theta^2+5\theta+1)+2^{5} x^{2}\left(34\theta^4-152\theta^3-265\theta^2-163\theta-36\right)+2^{8} x^{3}\left(142\theta^4+600\theta^3+335\theta^2-39\theta-54\right)-2^{11} 3 x^{4}\left(68\theta^4-56\theta^3-295\theta^2-261\theta-72\right)-2^{15} 3^{2} x^{5}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 72, 1728, 72360, ... --> OEIS Normalized instanton numbers (n0=1): 4, 60, 940, 19091, 463904, ... ; Common denominator:...
\(-(16z+1)(8z+1)(64z-1)(-1+24z)^2\)
| \(-\frac{ 1}{ 8}\) | \(-\frac{ 1}{ 16}\) | \(0\) | \(\frac{ 1}{ 64}\) | \(\frac{ 1}{ 24}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(1\) |
| \(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(\frac{ 5}{ 4}\) |
54
New Number: 5.113 | AESZ: 403 | Superseeker: -29/5 -1481/5 | Hash: 492c8a69e87d470c87b9557834f0fc5b
Degree: 5
\(5^{2} \theta^4+5 x\left(487\theta^4+878\theta^3+709\theta^2+270\theta+40\right)+2^{5} x^{2}\left(1013\theta^4+2639\theta^3+2943\theta^2+1520\theta+280\right)-2^{8} x^{3}\left(2169\theta^4+14880\theta^3+30789\theta^2+22440\theta+5240\right)-2^{12} x^{4}(2\theta+1)(518\theta^3+2397\theta^2+2940\theta+1048)-2^{16} 3 x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -8, 216, -8000, 359800, ... --> OEIS Normalized instanton numbers (n0=1): -29/5, 229/5, -1481/5, 43173/5, -155267, ... ; Common denominator:...
\(-(27z+1)(1024z^2-64z-1)(5+16z)^2\)
| \(-\frac{ 5}{ 16}\) | \(-\frac{ 1}{ 27}\) | \(\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 2}\) | \(0\) | \(\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(3\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(4\) | \(2\) | \(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
55
New Number: 5.114 | AESZ: 412 | Superseeker: -1312 -127846048 | Hash: 4a9870395db313fa368bbafcfc6a7435
Degree: 5
\(\theta^4-2^{4} x\left(560\theta^4-32\theta^3+56\theta^2+72\theta+15\right)+2^{15} x^{2}\left(896\theta^4+272\theta^3+604\theta^2+196\theta+21\right)-2^{24} 3^{2} x^{3}\left(288\theta^4+352\theta^3+364\theta^2+164\theta+29\right)+2^{35} 3^{3} x^{4}(2\theta+1)(16\theta^3+32\theta^2+28\theta+9)-2^{46} 3^{3} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 240, 118032, 72810240, 50454043920, ... --> OEIS Normalized instanton numbers (n0=1): -1312, -301048, -127846048, -70845744192, -45645879602784, ... ; Common denominator:...
\(-(-1+768z)(3072z-1)^2(1024z-1)^2\)
| \(0\) | \(\frac{ 1}{ 3072}\) | \(\frac{ 1}{ 1024}\) | \(\frac{ 1}{ 768}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) |
| \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) |
| \(0\) | \(4\) | \(1\) | \(2\) | \(\frac{ 3}{ 2}\) |
56
New Number: 5.115 | AESZ: 413 | Superseeker: -3843 -2715123387 | Hash: 2cc16ba9e49744872ae72bfd6b36d064
Degree: 5
\(\theta^4-3^{2} x\left(2835\theta^4-162\theta^3+261\theta^2+342\theta+68\right)+2^{2} 3^{9} x^{2}\left(3024\theta^4+918\theta^3+1977\theta^2+606\theta+64\right)-2^{2} 3^{16} x^{3}\left(5832\theta^4+7128\theta^3+7137\theta^2+3087\theta+524\right)+2^{4} 3^{25} x^{4}(2\theta+1)(72\theta^3+144\theta^2+121\theta+36)-2^{6} 3^{31} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 612, 836244, 1455469200, 2860801391700, ... --> OEIS Normalized instanton numbers (n0=1): -3843, -9668061/4, -2715123387, -3984527414448, -6798579266503881, ... ; Common denominator:...
\(-(-1+2187z)(8748z-1)^2(2916z-1)^2\)
| \(0\) | \(\frac{ 1}{ 8748}\) | \(\frac{ 1}{ 2916}\) | \(\frac{ 1}{ 2187}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(0\) | \(4\) | \(1\) | \(2\) | \(\frac{ 3}{ 2}\) |
57
New Number: 5.116 | AESZ: 414 | Superseeker: -22432 -425234532128 | Hash: 973fceefe183415b5d0e15e5a0bd12f5
Degree: 5
\(\theta^4-2^{4} x\left(8960\theta^4-512\theta^3+736\theta^2+992\theta+183\right)+2^{19} x^{2}\left(14336\theta^4+4352\theta^3+9008\theta^2+2544\theta+261\right)-2^{32} 3^{2} x^{3}\left(4608\theta^4+5632\theta^3+5408\theta^2+2208\theta+351\right)+2^{49} 3^{3} x^{4}(2\theta+1)^2(32\theta^2+48\theta+27)-2^{64} 3^{3} x^{5}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2928, 21778704, 210543916800, 2314156512099600, ... --> OEIS Normalized instanton numbers (n0=1): -22432, -74752296, -425234532128, -3159114140624208, -27288043319514722784, ... ; Common denominator:...
\(-(-1+12288z)(49152z-1)^2(16384z-1)^2\)
| \(0\) | \(\frac{ 1}{ 49152}\) | \(\frac{ 1}{ 16384}\) | \(\frac{ 1}{ 12288}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(4\) | \(1\) | \(2\) | \(\frac{ 3}{ 2}\) |
58
New Number: 5.117 | AESZ: 415 | Superseeker: -1083168 -32204207145918624 | Hash: 480ebcdf255c1fe6ad1cac7896e482fa
Degree: 5
\(\theta^4-2^{4} 3^{2} x\left(45360\theta^4-2592\theta^3+3096\theta^2+4392\theta+695\right)+2^{15} 3^{9} x^{2}\left(24192\theta^4+7344\theta^3+14340\theta^2+3516\theta+335\right)-2^{24} 3^{16} x^{3}\left(23328\theta^4+28512\theta^3+25740\theta^2+9540\theta+1325\right)+2^{35} 3^{25} x^{4}(2\theta+1)(144\theta^3+288\theta^2+212\theta+45)-2^{46} 3^{31} x^{5}(2\theta+1)(3\theta+1)(3\theta+5)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 100080, 32388472080, 14040210456518400, 6986717866758049635600, ... --> OEIS Normalized instanton numbers (n0=1): -1083168, -148187321784, -32204207145918624, -9094164085684648886400, -2986312705706358630596895840, ... ; Common denominator:...
\(-(-1+559872z)(2239488z-1)^2(746496z-1)^2\)
| \(0\) | \(\frac{ 1}{ 2239488}\) | \(\frac{ 1}{ 746496}\) | \(\frac{ 1}{ 559872}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(4\) | \(1\) | \(2\) | \(\frac{ 5}{ 3}\) |
59
New Number: 5.118 | AESZ: 416 | Superseeker: 1312 127846048 | Hash: 3ae3241981d64d9c9cc38b29974fa202
Degree: 5
\(\theta^4+2^{4} x\left(560\theta^4-32\theta^3+56\theta^2+72\theta+15\right)+2^{15} x^{2}\left(896\theta^4+272\theta^3+604\theta^2+196\theta+21\right)+2^{24} 3^{2} x^{3}\left(288\theta^4+352\theta^3+364\theta^2+164\theta+29\right)+2^{35} 3^{3} x^{4}(2\theta+1)(16\theta^3+32\theta^2+28\theta+9)+2^{46} 3^{3} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -240, 118032, -72810240, 50454043920, ... --> OEIS Normalized instanton numbers (n0=1): 1312, -301376, 127846048, -70845744192, 45645879602784, ... ; Common denominator:...
\((1+768z)(1024z+1)^2(3072z+1)^2\)
| \(-\frac{ 1}{ 768}\) | \(-\frac{ 1}{ 1024}\) | \(-\frac{ 1}{ 3072}\) | \(0\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(1\) |
| \(2\) | \(1\) | \(4\) | \(0\) | \(\frac{ 3}{ 2}\) |
60
New Number: 5.119 | AESZ: | Superseeker: 138 278872 | Hash: 61d7a82df3cf3c429b6286bc39ccb426
Degree: 5
\(\theta^4-2 3 x\left(42\theta^4+204\theta^3+145\theta^2+43\theta+5\right)-2^{2} x^{2}\left(26932\theta^4+40768\theta^3-6943\theta^2-8482\theta-1635\right)-2^{4} 3^{2} 5 x^{3}\left(11156\theta^4+3848\theta^3+1777\theta^2+901\theta+180\right)-2^{7} 3^{3} 5^{2} x^{4}(2\theta+1)(304\theta^3+356\theta^2+97\theta-15)+2^{10} 3^{3} 5^{5} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 30, 4530, 1074900, 312527250, ... --> OEIS Normalized instanton numbers (n0=1): 138, 1139, 278872, 21493934, 3832908140, ... ; Common denominator:...
\((4z-1)(500z-1)(12z+1)(1+120z)^2\)
| \(-\frac{ 1}{ 12}\) | \(-\frac{ 1}{ 120}\) | \(0\) | \(\frac{ 1}{ 500}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |