1
New Number: 4.77 | AESZ: | Superseeker: 1 68/9 | Hash: f9623221ffe8be4c1e31a6e6ce195a37
Degree: 4
\(\theta^4-x\left(16+80\theta+161\theta^2+162\theta^3+81\theta^4\right)+2^{3} x^{2}\left(303\theta^4+1212\theta^3+1952\theta^2+1480\theta+440\right)-2^{6} x^{3}(124\theta^2+372\theta+263)(2\theta+3)^2+2^{9} 3 5^{2} x^{4}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 280, 5152, 98200, ... --> OEIS Normalized instanton numbers (n0=1): 1, -2, 68/9, -30, 150, ... ; Common denominator:...
\((25z-1)(24z-1)(-1+16z)^2\)
| \(0\) | \(\frac{ 1}{ 24}\) | \(\frac{ 1}{ 25}\) | \(\infty\) | \(\frac{ 1}{ 16}\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(1\) | \(0\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 2}\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(2\) | \(2\) | \(3\) | \(1\) |
2
New Number: 10.2 | AESZ: | Superseeker: 4 2252/9 | Hash: 4a65f8c6ad1f8eaf4aa56879ebb94205
Degree: 10
\(\theta^4+2^{2} x\left(69\theta^4+42\theta^3+45\theta^2+24\theta+5\right)+2^{4} x^{2}\left(2097\theta^4+2748\theta^3+3311\theta^2+1990\theta+489\right)+2^{8} x^{3}\left(9240\theta^4+19254\theta^3+26269\theta^2+17979\theta+5020\right)+2^{10} 3 x^{4}\left(34845\theta^4+101230\theta^3+156798\theta^2+120187\theta+36857\right)+2^{12} x^{5}\left(792225\theta^4+2972406\theta^3+5205467\theta^2+4394830\theta+1449907\right)+2^{14} x^{6}\left(4064601\theta^4+18714936\theta^3+36737137\theta^2+33711480\theta+11807867\right)+2^{18} x^{7}\left(3474333\theta^4+18927498\theta^3+41213301\theta^2+40674636\theta+14985820\right)+2^{20} x^{8}\left(7544547\theta^4+47365644\theta^3+113299226\theta^2+119329996\theta+45950951\right)+2^{24} 23 x^{9}(2\theta+3)(50786\theta^3+284985\theta^2+515497\theta+282264)+2^{28} 3 7^{2} 23^{2} x^{10}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -20, 436, -9872, 228292, ... --> OEIS Normalized instanton numbers (n0=1): 4, -31, 2252/9, -11109/4, 33312, ... ; Common denominator:...
\((24z+1)(8z+1)(784z^2+52z+1)(32z+1)^2(736z^2+64z+1)^2\)
| \(0\) | \(-\frac{ 1}{ 23}-\frac{ 3}{ 184}\sqrt{ 2}\) | \(-\frac{ 13}{ 392}+\frac{ 3}{ 392}\sqrt{ 3}I\) | \(\infty\) | \(-\frac{ 1}{ 32}\) | \(-\frac{ 1}{ 23}+\frac{ 3}{ 184}\sqrt{ 2}\) | \(-\frac{ 1}{ 24}\) | \(-\frac{ 13}{ 392}-\frac{ 3}{ 392}\sqrt{ 3}I\) | \(-\frac{ 1}{ 8}\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(1\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(3\) | \(1\) | \(\frac{ 5}{ 2}\) | \(\frac{ 1}{ 2}\) | \(3\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(4\) | \(2\) | \(3\) | \(1\) | \(4\) | \(2\) | \(2\) | \(2\) |
3
New Number: 10.3 | AESZ: | Superseeker: 2 421/9 | Hash: 5219414e025733d8e128028821370b4b
Degree: 10
\(\theta^4-x\left(321\theta^4+258\theta^3+258\theta^2+129\theta+26\right)+x^{2}\left(74028\theta^3+14112+55150\theta+89219\theta^2+46467\theta^4\right)-2^{3} x^{3}\left(499260\theta^4+1184748\theta^3+1665809\theta^2+1187841\theta+345452\right)+2^{4} 3 x^{4}\left(4702665\theta^4+14805730\theta^3+23754818\theta^2+18867201\theta+5979118\right)-2^{6} x^{5}\left(136927125\theta^4+537349854\theta^3+968406086\theta^2+839579917\theta+283906432\right)+2^{6} x^{6}\left(3697617171\theta^4+17401686816\theta^3+34821823585\theta^2+32540314464\theta+11600569724\right)-2^{9} x^{7}\left(8571324186\theta^4+47135706036\theta^3+103830096399\theta^2+103713883221\theta+38684901782\right)+2^{12} x^{8}\left(13055773347\theta^4+82367586444\theta^3+198438600506\theta^2+210671505052\theta+81797663483\right)-2^{16} 137 x^{9}(2\theta+3)(21527774\theta^3+121431015\theta^2+220937755\theta+121634574)+2^{20} 3 73^{2} 137^{2} x^{10}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 26, 730, 21320, 638506, ... --> OEIS Normalized instanton numbers (n0=1): 2, -3/2, 421/9, -519/2, 285, ... ; Common denominator:...
\((24z-1)(42632z^3-3675z^2+105z-1)(32z-1)^2(1096z^2-64z+1)^2\)
| \(0\) | \(\frac{ 1}{ 24}\) | \(\frac{ 1}{ 32}\) | \(\infty\) | \(\frac{ 4}{ 137}-\frac{ 3}{ 548}\sqrt{ 2}I\) | ≈\(0.034771\) | \(\frac{ 4}{ 137}+\frac{ 3}{ 548}\sqrt{ 2}I\) | ≈\(0.025716+0.003646I\) | ≈\(0.025716-0.003646I\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(1\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(\frac{ 3}{ 2}\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(\frac{ 5}{ 2}\) | \(3\) | \(1\) | \(3\) | \(1\) | \(1\) |
| \(0\) | \(2\) | \(1\) | \(3\) | \(4\) | \(2\) | \(4\) | \(2\) | \(2\) |
4
New Number: 10.4 | AESZ: | Superseeker: 10 7709/9 | Hash: 6162ae56594cb4ca6830174a8ed00300
Degree: 10
\(\theta^4+x\left(14+63\theta+102\theta^2+78\theta^3+231\theta^4\right)+x^{2}\left(2832+13390\theta+24563\theta^2+19308\theta^3+21987\theta^4\right)+2^{3} x^{3}\left(140700\theta^4+225708\theta^3+290537\theta^2+177465\theta+44084\right)+2^{4} 3 x^{4}\left(713295\theta^4+1769710\theta^3+2523886\theta^2+1767335\theta+499986\right)+2^{6} x^{5}\left(10296675\theta^4+36211314\theta^3+60921650\theta^2+49433683\theta+15811528\right)+2^{6} x^{6}\left(137088291\theta^4+659829216\theta^3+1356977569\theta^2+1291863456\theta+467669756\right)+2^{9} x^{7}\left(179375706\theta^4+1143044916\theta^3+2845532295\theta^2+3114799053\theta+1242790862\right)+2^{12} x^{8}\left(184827267\theta^4+1416425484\theta^3+3980381306\theta^2+4736268700\theta+1991273435\right)+2^{16} 47 x^{9}(2\theta+3)(622034\theta^3+4130865\theta^2+8390461\theta+4891218)+2^{20} 3 17^{2} 47^{2} x^{10}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -14, 250, -5192, 116266, ... --> OEIS Normalized instanton numbers (n0=1): 10, -149/2, 7709/9, -27333/2, 242829, ... ; Common denominator:...
\((24z+1)(2312z^3+75z^2+15z+1)(32z+1)^2(376z^2+64z+1)^2\)
| \(0\) | ≈\(0.011589-0.087422I\) | \(-\frac{ 1}{ 32}\) | \(\infty\) | ≈\(0.011589+0.087422I\) | \(-\frac{ 1}{ 24}\) | \(-\frac{ 4}{ 47}+\frac{ 9}{ 188}\sqrt{ 2}\) | ≈\(-0.055617\) | \(-\frac{ 4}{ 47}-\frac{ 9}{ 188}\sqrt{ 2}\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(1\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(\frac{ 3}{ 2}\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(\frac{ 5}{ 2}\) | \(1\) | \(1\) | \(3\) | \(1\) | \(3\) |
| \(0\) | \(2\) | \(1\) | \(3\) | \(2\) | \(2\) | \(4\) | \(2\) | \(4\) |
5
New Number: 10.5 | AESZ: | Superseeker: 8 -830/9 | Hash: 26cb7b62aea8fead9548cb08c510d8cc
Degree: 10
\(\theta^4-x\left(5+36\theta+102\theta^2+132\theta^3+42\theta^4\right)+x^{2}\left(321+2500\theta+5078\theta^2+2676\theta^3-126\theta^4\right)+x^{3}\left(58511+193314\theta+255284\theta^2+165228\theta^3+36750\theta^4\right)+3 x^{4}\left(149076\theta^4+788140\theta^3+1818454\theta^2+1636604\theta+537147\right)+x^{5}\left(18978161+48287282\theta+41352784\theta^2+10485348\theta^3-282726\theta^4\right)+x^{6}\left(75240839+129474252\theta+18361102\theta^2-64936644\theta^3-20164434\theta^4\right)-x^{7}\left(192652267+790586058\theta+1080753300\theta^2+555817116\theta^3+53729334\theta^4\right)-x^{8}\left(1469856277+3396870740\theta+2385867946\theta^2+267688500\theta^3-184083363\theta^4\right)+2 5 13 x^{9}(2\theta+3)(3678542\theta^3+13483935\theta^2+14333215\theta+4727112)+2^{2} 3 5^{2} 13^{2} 73^{2} x^{10}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 5, 79, 791, -9329, ... --> OEIS Normalized instanton numbers (n0=1): 8, -45/2, -830/9, -5301/2, 2790, ... ; Common denominator:...
\((3z+1)(5329z^3+1587z^2-69z+1)(13z+1)^2(4z+1)^2(5z-1)^2\)
| \(0\) | \(-\frac{ 1}{ 3}\) | \(\frac{ 1}{ 5}\) | \(\infty\) | ≈\(-0.337782\) | ≈\(0.019989+0.01249I\) | ≈\(0.019989-0.01249I\) | \(-\frac{ 1}{ 13}\) | \(-\frac{ 1}{ 4}\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(1\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(3\) | \(\frac{ 5}{ 2}\) | \(1\) | \(1\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(2\) | \(4\) | \(3\) | \(2\) | \(2\) | \(2\) | \(4\) | \(1\) |
6
New Number: 10.6 | AESZ: | Superseeker: 8 2200/9 | Hash: b5aa0abf76ddfbd280ec220a43822aa4
Degree: 10
\(\theta^4+2^{2} x\left(21\theta^4-6\theta^3+3\theta+1\right)+2^{4} x^{2}\left(126\theta^4-96\theta^3-16\theta^2-56\theta-33\right)+2^{6} x^{3}\left(84\theta^4-336\theta^3-226\theta^2-366\theta-163\right)+2^{11} 3 x^{4}\left(39\theta^4+500\theta^3+1230\theta^2+1160\theta+407\right)+2^{12} x^{5}\left(7029\theta^4+50118\theta^3+125086\theta^2+129149\theta+48902\right)+2^{14} x^{6}\left(38550\theta^4+294456\theta^3+806428\theta^2+911232\theta+368273\right)+2^{16} x^{7}\left(77544\theta^4+708720\theta^3+2233434\theta^2+2804346\theta+1214177\right)+2^{20} x^{8}\left(9171\theta^4+117228\theta^3+467444\theta^2+684316\theta+324572\right)-2^{23} x^{9}(2\theta+3)(2114\theta^3+16713\theta^2+37111\theta+22497)+2^{26} 3 5^{2} x^{10}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -4, 52, -688, 2500, ... --> OEIS Normalized instanton numbers (n0=1): 8, -75/2, 2200/9, -8117/2, 47936, ... ; Common denominator:...
\((12z+1)(6400z^3+192z^2-24z+1)(16z+1)^2(32z^2-32z-1)^2\)
| \(0\) | \(\infty\) | \(\frac{ 1}{ 2}+\frac{ 3}{ 8}\sqrt{ 2}\) | \(\frac{ 1}{ 2}-\frac{ 3}{ 8}\sqrt{ 2}\) | ≈\(-0.090507\) | ≈\(0.030254+0.02848I\) | \(-\frac{ 1}{ 16}\) | \(-\frac{ 1}{ 12}\) | ≈\(0.030254-0.02848I\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(1\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) |
| \(0\) | \(\frac{ 5}{ 2}\) | \(3\) | \(3\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) |
| \(0\) | \(3\) | \(4\) | \(4\) | \(2\) | \(2\) | \(1\) | \(2\) | \(2\) |
7
New Number: 10.7 | AESZ: | Superseeker: 4 -628/9 | Hash: d5910f048831bb407eb8998c7c57e09f
Degree: 10
\(\theta^4-2^{2} x\left(48\theta^4+48\theta^3+45\theta^2+21\theta+4\right)+2^{6} x^{2}\left(261\theta^4+489\theta^3+590\theta^2+364\theta+93\right)-2^{6} x^{3}\left(13530\theta^4+35628\theta^3+50795\theta^2+36813\theta+10853\right)+2^{8} 3 x^{4}\left(38616\theta^4+128020\theta^3+206502\theta^2+165712\theta+53013\right)-2^{10} x^{5}\left(685404\theta^4+2714928\theta^3+4854121\theta^2+4193537\theta+1415126\right)+2^{13} x^{6}\left(1419108\theta^4+6542898\theta^3+12841310\theta^2+11823966\theta+4167463\right)-2^{14} x^{7}\left(8117226\theta^4+43045764\theta^3+92299521\theta^2+90336771\theta+33184985\right)+2^{16} x^{8}\left(15319683\theta^4+93106380\theta^3+218052374\theta^2+226725820\theta+86734943\right)-2^{19} 5^{2} x^{9}(2\theta+3)(171838\theta^3+939735\theta^2+1668155\theta+905358)+2^{22} 3 5^{4} 17^{2} x^{10}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 292, 5728, 115012, ... --> OEIS Normalized instanton numbers (n0=1): 4, 5, -628/9, -2823/4, 672, ... ; Common denominator:...
\((12z-1)(18496z^3-2352z^2+84z-1)(16z-1)^2(400z^2-32z+1)^2\)
| \(0\) | \(\infty\) | ≈\(0.024764+0.009119I\) | \(\frac{ 1}{ 25}-\frac{ 3}{ 100}I\) | ≈\(0.024764-0.009119I\) | \(\frac{ 1}{ 12}\) | \(\frac{ 1}{ 25}+\frac{ 3}{ 100}I\) | \(\frac{ 1}{ 16}\) | ≈\(0.077634\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(1\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(0\) | \(\frac{ 5}{ 2}\) | \(1\) | \(3\) | \(1\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(0\) | \(3\) | \(2\) | \(4\) | \(2\) | \(2\) | \(4\) | \(1\) | \(2\) |
8
New Number: 10.8 | AESZ: | Superseeker: 7 -2044/9 | Hash: 772d055ae4c1a5d6a65a2b1f3ffa351b
Degree: 10
\(\theta^4-x\left(147\theta^2+10+60\theta+174\theta^3+111\theta^4\right)+2^{2} x^{2}\left(1269\theta^4+3576\theta^3+4595\theta^2+2722\theta+639\right)-2^{2} x^{3}\left(28236\theta^4+92256\theta^3+135641\theta^2+100407\theta+29996\right)+2^{4} 3 x^{4}\left(34932\theta^4+117280\theta^3+166025\theta^2+128238\theta+41467\right)-2^{6} x^{5}\left(266139\theta^4+937698\theta^3+1398643\theta^2+1056533\theta+325061\right)+2^{8} x^{6}\left(478785\theta^4+1758504\theta^3+2952901\theta^2+2388960\theta+754208\right)-2^{8} x^{7}\left(2371176\theta^4+9770640\theta^3+17775969\theta^2+15468753\theta+5209610\right)+2^{10} x^{8}\left(1853604\theta^4+9368112\theta^3+18957629\theta^2+17669710\theta+6248237\right)-2^{12} 11 x^{9}(2\theta+3)(36502\theta^3+178659\theta^2+286703\theta+145866)+2^{16} 3 5^{2} 11^{2} x^{10}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 10, 154, 2548, 27370, ... --> OEIS Normalized instanton numbers (n0=1): 7, -31/4, -2044/9, -1380, -8520, ... ; Common denominator:...
\((3z-1)(6400z^3-2352z^2+84z-1)(4z-1)^2(88z^2-8z+1)^2\)
| \(0\) | \(\frac{ 1}{ 4}\) | \(\frac{ 1}{ 3}\) | \(\frac{ 1}{ 22}-\frac{ 3}{ 44}\sqrt{ 2}I\) | ≈\(0.019222-0.010265I\) | ≈\(0.329056\) | ≈\(0.019222+0.010265I\) | \(\frac{ 1}{ 22}+\frac{ 3}{ 44}\sqrt{ 2}I\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) | \(3\) | \(\frac{ 5}{ 2}\) |
| \(0\) | \(1\) | \(2\) | \(4\) | \(2\) | \(2\) | \(2\) | \(4\) | \(3\) |
9
New Number: 7.16 | AESZ: | Superseeker: 22/5 68 | Hash: 660211ce6175f36772066594bfc33cbb
Degree: 7
\(5^{2} \theta^4-2 5 x\theta(15+71\theta+112\theta^2+38\theta^3)-2^{2} x^{2}\left(4364\theta^4+15872\theta^3+24679\theta^2+19360\theta+6000\right)-2^{4} 3^{2} 5 x^{3}\left(92\theta^4+224\theta^3+103\theta^2-176\theta-165\right)+2^{6} 3^{2} x^{4}\left(1228\theta^4+10496\theta^3+30154\theta^2+35736\theta+14715\right)+2^{9} 3^{4} x^{5}(\theta+1)(38\theta^3+74\theta^2-304\theta-495)-2^{10} 3^{4} x^{6}(2\theta+13)(2\theta+3)(17\theta+39)(\theta+1)-2^{12} 3^{6} x^{7}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 60, 480, 16524, ... --> OEIS Normalized instanton numbers (n0=1): 22/5, 8, 68, 3292/5, 38826/5, ... ; Common denominator:...
\(-(-1+36z)(12z+5)^2(12z+1)^2(4z-1)^2\)
| \(0\) | \(\frac{ 1}{ 4}\) | \(\infty\) | \(-\frac{ 1}{ 12}\) | \(\frac{ 1}{ 36}\) | \(-\frac{ 5}{ 12}\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(1\) | \(0\) | \(0\) | \(0\) |
| \(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 3}{ 2}\) | \(0\) | \(1\) | \(1\) |
| \(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 5}{ 2}\) | \(1\) | \(1\) | \(3\) |
| \(0\) | \(1\) | \(3\) | \(1\) | \(2\) | \(4\) |
10
New Number: 7.17 | AESZ: | Superseeker: 0 18 | Hash: c248fd7c807d0aae71ef687a9ee40c80
Degree: 7
\(\theta^4+3 x\left(87\theta^4+84\theta^3+86\theta^2+44\theta+9\right)+2 3^{3} x^{2}\left(539\theta^4+1076\theta^3+1366\theta^2+880\theta+233\right)+2 3^{5} x^{3}\left(3699\theta^4+11424\theta^3+17579\theta^2+13389\theta+4088\right)+3^{7} x^{4}\left(30367\theta^4+128696\theta^3+235722\theta^2+205070\theta+69226\right)+3^{9} x^{5}\left(74547\theta^4+405660\theta^3+871096\theta^2+848930\theta+310507\right)+2 3^{11} 5 x^{6}(2\theta+3)(5066\theta^3+26325\theta^2+44815\theta+23766)+2^{2} 3^{14} 5^{2} 7^{2} x^{7}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -27, 783, -23481, 717903, ... --> OEIS Normalized instanton numbers (n0=1): 0, -27/2, 18, -999/2, 1566, ... ; Common denominator:...
\((27z+1)(1323z^2+72z+1)(36z+1)^2(45z+1)^2\)
| \(0\) | \(-\frac{ 4}{ 147}-\frac{ 1}{ 441}\sqrt{ 3}I\) | \(\infty\) | \(-\frac{ 4}{ 147}+\frac{ 1}{ 441}\sqrt{ 3}I\) | \(-\frac{ 1}{ 45}\) | \(-\frac{ 1}{ 27}\) | \(-\frac{ 1}{ 36}\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(1\) | \(0\) | \(0\) | \(0\) | \(0\) |
| \(0\) | \(1\) | \(\frac{ 3}{ 2}\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 5}{ 2}\) | \(1\) | \(3\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(2\) | \(3\) | \(2\) | \(4\) | \(2\) | \(1\) |