1
New Number: 3.10 | AESZ: ~103 | Superseeker: 10 664 | Hash: 9239615e8ac132ca232c13367a39ae3b
Degree: 3
\(\theta^4-2 x\left(86\theta^4+172\theta^3+143\theta^2+57\theta+9\right)+2^{2} 3^{2} x^{2}(\theta+1)^2(236\theta^2+472\theta+187)-2^{4} 3^{4} 5^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 18, 630, 28980, 1593270, ... --> OEIS Normalized instanton numbers (n0=1): 10, 24, 664, 9088, 234388, ... ; Common denominator:...
\(-(100z-1)(-1+36z)^2\)
\(0\) | \(\frac{ 1}{ 100}\) | \(\frac{ 1}{ 36}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(2\) |
\(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
2
New Number: 3.15 | AESZ: | Superseeker: -32 -16288 | Hash: e21c92d8f9a2222be40fdc71ea51ee35
Degree: 3
\(\theta^4+2^{3} x\left(21\theta^4+42\theta^3+30\theta^2+9\theta+1\right)-2^{6} x^{2}(\theta+1)^2(96\theta^2+192\theta+77)+2^{9} 5^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -8, 720, -68480, 8123920, ... --> OEIS Normalized instanton numbers (n0=1): -32, 468, -16288, 1681645/2, -53608288, ... ; Common denominator:...
\((200z+1)(-1+16z)^2\)
\(-\frac{ 1}{ 200}\) | \(0\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(\frac{ 1}{ 6}\) | \(1\) |
\(1\) | \(0\) | \(\frac{ 5}{ 6}\) | \(2\) |
\(2\) | \(0\) | \(1\) | \(\frac{ 5}{ 2}\) |
3
New Number: 3.16 | AESZ: 386 | Superseeker: 10 18328 | Hash: 7d032616d3bd41272e22a4d23747d7a0
Degree: 3
\(\theta^4-2 x\left(422\theta^4+844\theta^3+751\theta^2+329\theta+57\right)+2^{2} 3^{4} x^{2}(\theta+1)^2(716\theta^2+1432\theta+579)-2^{4} 3^{8} 7^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 114, 22518, 5236980, 1321024950, ... --> OEIS Normalized instanton numbers (n0=1): 10, -872, 18328, -432528, 13706388, ... ; Common denominator:...
\(-(196z-1)(-1+324z)^2\)
\(0\) | \(\frac{ 1}{ 324}\) | \(\frac{ 1}{ 196}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(0\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(2\) |
\(0\) | \(1\) | \(2\) | \(\frac{ 5}{ 2}\) |
4
New Number: 3.17 | AESZ: 387 | Superseeker: 68 125636/3 | Hash: 06864aab02693f4b84eb494138bb3428
Degree: 3
\(\theta^4-2^{2} x\left(228\theta^4+456\theta^3+385\theta^2+157\theta+26\right)+2^{11} x^{2}(\theta+1)^2(132\theta^2+264\theta+109)-2^{18} 5^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 104, 18600, 3925760, 906368680, ... --> OEIS Normalized instanton numbers (n0=1): 68, 204, 125636/3, 841384, 123715360, ... ; Common denominator:...
\(-(400z-1)(-1+256z)^2\)
\(0\) | \(\frac{ 1}{ 400}\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(0\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(2\) |
\(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
5
New Number: 3.18 | AESZ: 388 | Superseeker: 266 11433160/3 | Hash: 7e11db69c1b7bd8781e54a5eadb0e307
Degree: 3
\(\theta^4-2 x\left(582\theta^4+1164\theta^3+815\theta^2+233\theta+25\right)+2^{2} x^{2}(\theta+1)^2(2316\theta^2+4632\theta+1907)-2^{4} 17^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 50, 17142, 9383540, 6301530550, ... --> OEIS Normalized instanton numbers (n0=1): 266, 19320, 11433160/3, 1106069392, 397606861972, ... ; Common denominator:...
\(-(1156z-1)(4z-1)^2\)
\(0\) | \(\frac{ 1}{ 1156}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(0\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(2\) |
\(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
6
New Number: 3.20 | AESZ: 390 | Superseeker: 19 4455 | Hash: cd8ca8746f3610e70893770a090533f9
Degree: 3
\(\theta^4-x\left(561\theta^4+1122\theta^3+975\theta^2+414\theta+70\right)+2^{2} 7^{2} x^{2}(\theta+1)^2(534\theta^2+1068\theta+433)-2^{2} 7^{4} 13^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 70, 8442, 1192660, 182057050, ... --> OEIS Normalized instanton numbers (n0=1): 19, -276, 4455, -104648, 2969383, ... ; Common denominator:...
\(-(169z-1)(-1+196z)^2\)
\(0\) | \(\frac{ 1}{ 196}\) | \(\frac{ 1}{ 169}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(\frac{ 1}{ 6}\) | \(1\) | \(1\) |
\(0\) | \(\frac{ 5}{ 6}\) | \(1\) | \(2\) |
\(0\) | \(1\) | \(2\) | \(\frac{ 5}{ 2}\) |
7
New Number: 3.11 | AESZ: | Superseeker: 37 15270 | Hash: e7db0935aa1b331d8fb696a009d2d7bb
Degree: 3
\(\theta^4-x\left(865\theta^4+1730\theta^3+1501\theta^2+636\theta+108\right)+2^{5} 3^{2} x^{2}(\theta+1)^2(866\theta^2+1732\theta+709)-2^{8} 3^{4} 17^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 108, 19908, 4278240, 990152100, ... --> OEIS Normalized instanton numbers (n0=1): 37, -570, 15270, -529994, 21300463, ... ; Common denominator:...
\(-(289z-1)(-1+288z)^2\)
\(0\) | \(\frac{ 1}{ 289}\) | \(\frac{ 1}{ 288}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(2\) |
\(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
8
New Number: 3.19 | AESZ: 389 | Superseeker: 66 69048 | Hash: c5cca5b7bfc61c4e8b38fab025244078
Degree: 3
\(\theta^4-2 x\left(742\theta^4+1484\theta^3+1295\theta^2+553\theta+95\right)+2^{2} 5^{3} x^{2}(\theta+1)^2(1468\theta^2+2936\theta+1211)-2^{4} 5^{6} 11^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 190, 61170, 22892500, 9212271250, ... --> OEIS Normalized instanton numbers (n0=1): 66, -1780, 69048, -3847892, 244783420, ... ; Common denominator:...
\(-(484z-1)(-1+500z)^2\)
\(0\) | \(\frac{ 1}{ 500}\) | \(\frac{ 1}{ 484}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(0\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(2\) |
\(0\) | \(1\) | \(2\) | \(\frac{ 5}{ 2}\) |
9
New Number: 3.34 | AESZ: | Superseeker: 16 1744 | Hash: 931a876bfe4d4aa192c6e18e74047640
Degree: 3
\(\theta^4-2^{4} x\left(25\theta^4+50\theta^3+43\theta^2+18\theta+3\right)+2^{11} x^{2}(26\theta^2+52\theta+21)(\theta+1)^2-2^{16} 3^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 48, 3984, 387840, 40818960, ... --> OEIS Normalized instanton numbers (n0=1): 16, -110, 1744, -29526, 644016, ... ; Common denominator:...
\(-(144z-1)(-1+128z)^2\)
\(0\) | \(\frac{ 1}{ 144}\) | \(\frac{ 1}{ 128}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(2\) |
\(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
10
New Number: 3.4 | AESZ: | Superseeker: -9 -748 | Hash: 350ef7c6e038467a3f50bfbe164fa73a
Degree: 3
\(\theta^4+3^{2} x\left(33\theta^4+66\theta^3+57\theta^2+24\theta+4\right)+2^{3} 3^{6} x^{2}(\theta+1)^2(5\theta^2+10\theta+4)+2^{2} 3^{10} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -36, 2268, -168840, 13664700, ... --> OEIS Normalized instanton numbers (n0=1): -9, -279/4, -748, -9612, -155448, ... ; Common denominator:...
\((81z+1)(1+108z)^2\)
\(-\frac{ 1}{ 81}\) | \(-\frac{ 1}{ 108}\) | \(0\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(\frac{ 1}{ 2}\) | \(0\) | \(1\) |
\(1\) | \(\frac{ 1}{ 2}\) | \(0\) | \(2\) |
\(2\) | \(1\) | \(0\) | \(\frac{ 5}{ 2}\) |
11
New Number: 3.5 | AESZ: | Superseeker: 26 103520/9 | Hash: 4ed9bc316d49a71649da0a1148f7ea9d
Degree: 3
\(\theta^4-2 x\left(102\theta^4+204\theta^3+155\theta^2+53\theta+7\right)+2^{2} x^{2}(\theta+1)^2(396\theta^2+792\theta+311)-2^{4} 7^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 14, 834, 78260, 8970850, ... --> OEIS Normalized instanton numbers (n0=1): 26, 348, 103520/9, 539764, 31290280, ... ; Common denominator:...
\(-(196z-1)(4z-1)^2\)
\(0\) | \(\frac{ 1}{ 196}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(\frac{ 1}{ 4}\) | \(1\) |
\(0\) | \(1\) | \(\frac{ 3}{ 4}\) | \(2\) |
\(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
12
New Number: 3.7 | AESZ: ~73 | Superseeker: 90 151648 | Hash: 9f672e1168859bdcc8ddc7a201c57968
Degree: 3
\(\theta^4-2 3^{2} x\left(6\theta^4+12\theta^3+3\theta^2-3\theta-1\right)-2^{2} 3^{6} x^{2}(\theta+1)^2(20\theta^2+40\theta+17)-2^{4} 3^{10} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -18, 2754, 37620, 43789410, ... --> OEIS Normalized instanton numbers (n0=1): 90, 2196, 151648, 14813388, 1820806056, ... ; Common denominator:...
\(-(324z-1)(1+108z)^2\)
\(-\frac{ 1}{ 108}\) | \(0\) | \(\frac{ 1}{ 324}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(0\) | \(1\) | \(1\) |
\(1\) | \(0\) | \(1\) | \(2\) |
\(1\) | \(0\) | \(2\) | \(\frac{ 5}{ 2}\) |
13
New Number: 3.8 | AESZ: ~100 | Superseeker: 5 454 | Hash: 82a1ac6ac6fb9ab2e4d6b5d5790d1d9b
Degree: 3
\(\theta^4+x\left(15\theta^4+30\theta^3+35\theta^2+20\theta+4\right)-2^{5} x^{2}(\theta+1)^2(66\theta^2+132\theta+53)-2^{8} 7^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -4, 132, -1120, 72100, ... --> OEIS Normalized instanton numbers (n0=1): 5, 42, 454, 7498, 154351, ... ; Common denominator:...
\(-(49z-1)(1+32z)^2\)
\(-\frac{ 1}{ 32}\) | \(0\) | \(\frac{ 1}{ 49}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) |
\(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(2\) |
\(1\) | \(0\) | \(2\) | \(\frac{ 5}{ 2}\) |
14
New Number: 3.9 | AESZ: ~101 | Superseeker: 13 2650 | Hash: a6878d847acf199583e8168a33967174
Degree: 3
\(\theta^4-x\left(113\theta^4+226\theta^3+173\theta^2+60\theta+8\right)-2^{3} x^{2}(\theta+1)^2(119\theta^2+238\theta+92)-2^{2} 11^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 336, 19880, 1420720, ... --> OEIS Normalized instanton numbers (n0=1): 13, 128, 2650, 79400, 2921395, ... ; Common denominator:...
\(-(121z-1)(4z+1)^2\)
\(-\frac{ 1}{ 4}\) | \(0\) | \(\frac{ 1}{ 121}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) |
\(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(2\) |
\(1\) | \(0\) | \(2\) | \(\frac{ 5}{ 2}\) |
15
New Number: 6.11 | AESZ: | Superseeker: 27296 369676901920 | Hash: 480dfd541eda896f1434450e820ef263
Degree: 6
\(\theta^4+2^{4} x\left(4480\theta^4-6016\theta^3-3632\theta^2-624\theta-57\right)+2^{14} x^{2}\left(56512\theta^4-238208\theta^3+88016\theta^2+21584\theta+2943\right)-2^{24} 3^{2} x^{3}\left(93952\theta^4+21248\theta^3+15264\theta^2+2176\theta+155\right)-2^{34} 3^{3} x^{4}\left(41664\theta^4+57088\theta^3+4448\theta^2-21248\theta-7191\right)+2^{48} 3^{3} 13 x^{5}(\theta+1)(808\theta^3+2352\theta^2+2099\theta+582)-2^{58} 3^{5} 13^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 912, 2320656, 9507313920, 49468269165840, ... --> OEIS Normalized instanton numbers (n0=1): 27296, -70540912, 369676901920, -2547102730999216, 20534034788092596960, ... ; Common denominator:...
\(-(3072z+1)(9216z-1)(39936z+1)^2(1024z-1)^2\)
\(-\frac{ 1}{ 3072}\) | \(-\frac{ 1}{ 39936}\) | \(0\) | \(\frac{ 1}{ 9216}\) | \(\frac{ 1}{ 1024}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(1\) | \(3\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(2\) |
\(2\) | \(4\) | \(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
16
New Number: 6.40 | AESZ: | Superseeker: 24586 329889747608 | Hash: 36fe35d15f62636c9a59974b02c3c153
Degree: 6
\(\theta^4+2 x\left(31252\theta^4-47788\theta^3-30351\theta^2-6457\theta-777\right)+2^{2} x^{2}\left(141990396\theta^4-851496456\theta^3+348245465\theta^2+120244516\theta+24723417\right)-2^{4} 7 x^{3}\left(114890001328\theta^4-55808058864\theta^3-39178895096\theta^2-22533986391\theta-2840254281\right)+2^{6} 7^{2} x^{4}\left(12756705884284\theta^4+28777665785840\theta^3+28025191186334\theta^2+13259372733985\theta+2453710035513\right)+2^{8} 3^{4} 7^{3} 13 101 x^{5}(\theta+1)(6017971352\theta^3+13862309856\theta^2+7944674578\theta+1672187649)-2^{10} 3^{10} 5^{2} 7^{5} 13^{2} 37^{2} 101^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1554, 4332150, 14528884020, 53714646216630, ... --> OEIS Normalized instanton numbers (n0=1): 24586, -65016808, 329889747608, -2211583844012928, 17318548806048850836, ... ; Common denominator:...
\(-(2916z-1)(5476z-1)(2268z+1)(4900z-1)(1+36764z)^2\)
\(-\frac{ 1}{ 2268}\) | \(-\frac{ 1}{ 36764}\) | \(0\) | \(\frac{ 1}{ 5476}\) | \(\frac{ 1}{ 4900}\) | \(\frac{ 1}{ 2916}\) | \(\infty\) |
---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
\(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(2\) |
\(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 5}{ 2}\) |
17
New Number: 6.3 | AESZ: | Superseeker: 178/7 129516/7 | Hash: ec9e21dc2ccd3b4b4156ae1438454b96
Degree: 6
\(7^{2} \theta^4-2 7 x\left(1488\theta^4+1452\theta^3+1125\theta^2+399\theta+56\right)+2^{2} x^{2}\left(766392\theta^4+1184952\theta^3+1010797\theta^2+454076\theta+83776\right)-2^{4} x^{3}\left(12943616\theta^4+28354200\theta^3+30710572\theta^2+16054731\theta+3215254\right)+2^{6} x^{4}\left(105973188\theta^4+333359304\theta^3+436182381\theta^2+261265857\theta+57189166\right)-2^{11} 127 x^{5}(\theta+1)(390972\theta^3+1350660\theta^2+1486781\theta+460439)+2^{14} 23^{2} 127^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 864, 80800, 9624160, ... --> OEIS Normalized instanton numbers (n0=1): 178/7, 3375/7, 129516/7, 6515900/7, 409239710/7, ... ; Common denominator:...
\((1-248z+8464z^2)(508z-7)^2(16z-1)^2\)
\(0\) | \(\frac{ 31}{ 2116}-\frac{ 3}{ 529}\sqrt{ 3}\) | \(\frac{ 7}{ 508}\) | \(\frac{ 31}{ 2116}+\frac{ 3}{ 529}\sqrt{ 3}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 3}\) | \(1\) |
\(0\) | \(1\) | \(3\) | \(1\) | \(\frac{ 2}{ 3}\) | \(2\) |
\(0\) | \(2\) | \(4\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
18
New Number: 6.4 | AESZ: | Superseeker: 370/19 140636/19 | Hash: 0f3ddf420018e2870561a3e9fd2551cc
Degree: 6
\(19^{2} \theta^4-19 x\left(4333\theta^4+6212\theta^3+4778\theta^2+1672\theta+228\right)+x^{2}\left(4307495\theta^4+7600484\theta^3+6216406\theta^2+2802424\theta+530556\right)-x^{3}\left(93729369\theta^4+213316800\theta^3+236037196\theta^2+125748612\theta+25260804\right)+2^{2} x^{4}\left(240813800\theta^4+778529200\theta^3+1041447759\theta^2+631802809\theta+138510993\right)-2^{2} 409 x^{5}(\theta+1)(2851324\theta^3+10035516\theta^2+11221241\theta+3481470)+2^{2} 3^{2} 19^{2} 409^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 588, 46200, 4446540, ... --> OEIS Normalized instanton numbers (n0=1): 370/19, 276, 140636/19, 5568700/19, 277119292/19, ... ; Common denominator:...
\((9z-1)(5776z^3-1920z^2+176z-1)(-19+409z)^2\)
\(0\) | ≈\(0.006077\) | \(\frac{ 19}{ 409}\) | \(\frac{ 1}{ 9}\) | ≈\(0.163166-0.043179I\) | ≈\(0.163166+0.043179I\) | \(\infty\) |
---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) | \(2\) |
\(0\) | \(2\) | \(4\) | \(2\) | \(2\) | \(2\) | \(\frac{ 5}{ 2}\) |
19
New Number: 6.8 | AESZ: | Superseeker: 567/13 512341/13 | Hash: 00104510dfaa4ae75940f08df0a52bf5
Degree: 6
\(13^{2} \theta^4-13 x\left(5041\theta^4+7634\theta^3+5767\theta^2+1950\theta+260\right)+2^{3} x^{2}\left(744635\theta^4+1560842\theta^3+1510101\theta^2+768170\theta+156078\right)-2^{6} 3 x^{3}\left(1232985\theta^4+3409302\theta^3+4189688\theta^2+2419209\theta+518414\right)+2^{9} x^{4}\left(9225025\theta^4+33675338\theta^3+49289090\theta^2+31849807\theta+7296732\right)-2^{12} 3 17 x^{5}(\theta+1)(222704\theta^3+833160\theta^2+989659\theta+317310)+2^{15} 3^{2} 17^{2} 23^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 20, 1524, 196400, 31587220, ... --> OEIS Normalized instanton numbers (n0=1): 567/13, 11392/13, 512341/13, 34191454/13, 2850663840/13, ... ; Common denominator:...
\((1-293z+4232z^2)(408z-13)^2(16z-1)^2\)
\(0\) | \(\frac{ 293}{ 8464}-\frac{ 41}{ 8464}\sqrt{ 41}\) | \(\frac{ 13}{ 408}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 293}{ 8464}+\frac{ 41}{ 8464}\sqrt{ 41}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(2\) |
\(0\) | \(2\) | \(4\) | \(1\) | \(2\) | \(\frac{ 5}{ 2}\) |