1
New Number: 9.10 | AESZ: | Superseeker: 307/31 30366/31 | Hash: 7a61ae3114ae9cdc48f662244260cd65
Degree: 9
\(31^{2} \theta^4-31 x\left(2424\theta^4+5574\theta^3+4337\theta^2+1550\theta+217\right)-x^{2}\left(184202+713186\theta+1382715\theta^2+1756478\theta^3+914057\theta^4\right)-x^{3}\left(2273850+8903076\theta+13251149\theta^2+8635710\theta^3+3075537\theta^4\right)-x^{4}\left(11927218+37908836\theta+46269935\theta^2+23766918\theta^3+2064696\theta^4\right)-x^{5}\left(30324779+80902562\theta+70842936\theta^2+13913564\theta^3-3177385\theta^4\right)+2 x^{6}\left(2606232\theta^4+10916676\theta^3-6409705\theta^2-26416695\theta-14341608\right)+2^{2} 7 x^{7}\left(74376\theta^4+1138248\theta^3+2184799\theta^2+1451482\theta+280295\right)-2^{4} 5 7^{2} x^{8}(\theta+1)(592\theta^3-1128\theta^2-5448\theta-4091)-2^{6} 5^{2} 7^{3} x^{9}(\theta+2)(\theta+1)(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 7, 211, 9217, 485611, ... --> OEIS Normalized instanton numbers (n0=1): 307/31, 1814/31, 30366/31, 639686/31, 17126962/31, ... ; Common denominator:...
\(-(z+1)(z^2+z+1)(112z^2+88z-1)(-31-121z+140z^2)^2\)
| \(-1\) | \(-\frac{ 11}{ 28}-\frac{ 2}{ 7}\sqrt{ 2}\) | \(-\frac{ 1}{ 2}-\frac{ 1}{ 2}\sqrt{ 3}I\) | \(-\frac{ 1}{ 2}+\frac{ 1}{ 2}\sqrt{ 3}I\) | \(\frac{ 121}{ 280}-\frac{ 1}{ 280}\sqrt{ 32001}\) | \(0\) | \(-\frac{ 11}{ 28}+\frac{ 2}{ 7}\sqrt{ 2}\) | \(\frac{ 121}{ 280}+\frac{ 1}{ 280}\sqrt{ 32001}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(1\) | \(1\) | \(1\) | \(1\) | \(3\) | \(0\) | \(1\) | \(3\) | \(\frac{ 3}{ 2}\) |
| \(2\) | \(2\) | \(2\) | \(2\) | \(4\) | \(0\) | \(2\) | \(4\) | \(2\) |
2
New Number: 9.1 | AESZ: | Superseeker: -4/7 955/63 | Hash: d32eab6005ac34ecc01a9db7675daa24
Degree: 9
\(7^{2} \theta^4-7 x\theta(-7-32\theta-50\theta^2+29\theta^3)+3 x^{2}\theta(532+1165\theta+512\theta^2+1235\theta^3)-2 3^{2} x^{3}\left(5373\theta^4+29040\theta^3+61493\theta^2+51786\theta+15876\right)+2^{2} 3^{3} x^{4}\left(10813\theta^4+68120\theta^3+160529\theta^2+154570\theta+53396\right)-2^{3} 3^{4} x^{5}\left(13929\theta^4+84348\theta^3+181015\theta^2+171080\theta+59172\right)+2^{5} 3^{5} x^{6}\left(6160\theta^4+35964\theta^3+69935\theta^2+58677\theta+18110\right)-2^{8} 3^{6} x^{7}\left(944\theta^4+5308\theta^3+10916\theta^2+9657\theta+3109\right)+2^{11} 3^{7} x^{8}(96\theta^2+300\theta+265)(\theta+1)^2-2^{15} 3^{9} x^{9}(\theta+1)^2(\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 0, 72, -432, ... --> OEIS Normalized instanton numbers (n0=1): -4/7, -4/7, 955/63, -262/7, -1002/7, ... ; Common denominator:...
\(-(6z-1)(27z^2-9z+1)(192z^2+16z+1)(7-18z+144z^2)^2\)
| \(-\frac{ 1}{ 24}-\frac{ 1}{ 24}\sqrt{ 2}I\) | \(-\frac{ 1}{ 24}+\frac{ 1}{ 24}\sqrt{ 2}I\) | \(0\) | \(\frac{ 1}{ 16}-\frac{ 1}{ 48}\sqrt{ 103}I\) | \(\frac{ 1}{ 16}+\frac{ 1}{ 48}\sqrt{ 103}I\) | \(\frac{ 1}{ 6}-\frac{ 1}{ 18}\sqrt{ 3}I\) | \(\frac{ 1}{ 6}\) | \(\frac{ 1}{ 6}+\frac{ 1}{ 18}\sqrt{ 3}I\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(3\) | \(3\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(2\) | \(2\) | \(0\) | \(4\) | \(4\) | \(2\) | \(2\) | \(2\) | \(2\) |
3
New Number: 9.2 | AESZ: | Superseeker: 9/7 49/3 | Hash: 356d4564e48d7a04e815fa223b6ccc46
Degree: 9
\(7^{2} \theta^4+7 x\theta(165\theta^3-102\theta^2-65\theta-14)-2^{3} x^{2}\left(920\theta^4+11726\theta^3+15277\theta^2+9478\theta+2352\right)-2^{4} 3^{2} x^{3}\left(4035\theta^4+19554\theta^3+29157\theta^2+20706\theta+5761\right)-2^{8} 3^{2} x^{4}\left(4156\theta^4+17951\theta^3+28198\theta^2+21045\theta+6096\right)-2^{11} 3^{3} x^{5}\left(1538\theta^4+6560\theta^3+10755\theta^2+8234\theta+2420\right)-2^{13} 3^{4} x^{6}\left(695\theta^4+3051\theta^3+5285\theta^2+4191\theta+1259\right)-2^{14} 3^{5} x^{7}\left(385\theta^4+1802\theta^3+3319\theta^2+2754\theta+855\right)-2^{18} 3^{6} x^{8}(\theta+1)^2(15\theta^2+48\theta+43)-2^{20} 3^{7} x^{9}(\theta+1)^2(\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 24, 144, 3240, ... --> OEIS Normalized instanton numbers (n0=1): 9/7, 47/7, 49/3, 1370/7, 10063/7, ... ; Common denominator:...
\(-(8z+1)(24z-1)(3z+1)(4z+1)(12z+1)(7+72z+288z^2)^2\)
| \(-\frac{ 1}{ 3}\) | \(-\frac{ 1}{ 4}\) | \(-\frac{ 1}{ 8}-\frac{ 1}{ 24}\sqrt{ 5}I\) | \(-\frac{ 1}{ 8}\) | \(-\frac{ 1}{ 8}+\frac{ 1}{ 24}\sqrt{ 5}I\) | \(-\frac{ 1}{ 12}\) | \(0\) | \(\frac{ 1}{ 24}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(3\) | \(1\) | \(3\) | \(1\) | \(0\) | \(1\) | \(2\) |
| \(2\) | \(2\) | \(4\) | \(2\) | \(4\) | \(2\) | \(0\) | \(2\) | \(2\) |
4
New Number: 9.3 | AESZ: | Superseeker: 10 3394/3 | Hash: 40e3715abcc5c4cb07e700ca79f80abf
Degree: 9
\(\theta^4-x\left(57\theta^4+116\theta^3+84\theta^2+26\theta+3\right)-2 x^{2}\left(894\theta^4+3208\theta^3+4571\theta^2+2771\theta+651\right)-2 x^{3}\left(7322\theta^4+56368\theta^3+124783\theta^2+101099\theta+29757\right)+2 3^{2} x^{4}\left(6967\theta^4-27080\theta^3-139991\theta^2-138507\theta-45297\right)+2 3^{4} x^{5}\left(17617\theta^4+49068\theta^3-31255\theta^2-79893\theta-34578\right)+2 3^{8} x^{6}\left(1082\theta^4+8360\theta^3+7967\theta^2+1439\theta-773\right)-2 3^{11} x^{7}\left(198\theta^4-864\theta^3-1545\theta^2-909\theta-155\right)-3^{15} x^{8}\left(69\theta^4+144\theta^3+126\theta^2+54\theta+10\right)-3^{20} x^{9}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 3, 135, 5349, 258039, ... --> OEIS Normalized instanton numbers (n0=1): 10, 77, 3394/3, 24029, 640402, ... ; Common denominator:...
\(-(-1+81z)(-1+9z)^2(81z^2+14z+1)^3\)
| \(-\frac{ 7}{ 81}-\frac{ 4}{ 81}\sqrt{ 2}I\) | \(-\frac{ 7}{ 81}+\frac{ 4}{ 81}\sqrt{ 2}I\) | \(0\) | \(\frac{ 1}{ 81}\) | \(\frac{ 1}{ 9}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(0\) | \(1\) | \(3\) | \(1\) |
| \(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(1\) |
5
New Number: 9.4 | AESZ: | Superseeker: -90 -413926 | Hash: e2329b2f9cd1e3f65d29644e6ce39d24
Degree: 9
\(\theta^4+3^{2} x\left(69\theta^4+132\theta^3+108\theta^2+42\theta+7\right)+2 3^{5} x^{2}\left(198\theta^4+1656\theta^3+2235\theta^2+1203\theta+271\right)-2 3^{9} x^{3}\left(1082\theta^4-4032\theta^3-10621\theta^2-6257\theta-1523\right)-2 3^{12} x^{4}\left(17617\theta^4+21400\theta^3-72757\theta^2-59353\theta-17391\right)-2 3^{17} x^{5}\left(6967\theta^4+54948\theta^3-16949\theta^2-32367\theta-12734\right)+2 3^{22} x^{6}\left(7322\theta^4-27080\theta^3-389\theta^2+8651\theta+4395\right)+2 3^{29} x^{7}\left(894\theta^4+368\theta^3+311\theta^2+323\theta+137\right)+3^{36} x^{8}\left(57\theta^4+112\theta^3+78\theta^2+22\theta+2\right)-3^{43} x^{9}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -63, 4455, 34551, -114913161, ... --> OEIS Normalized instanton numbers (n0=1): -90, -8685/2, -413926, -38862153, -4502063682, ... ; Common denominator:...
\(-(-1+27z)(-1+243z)^2(59049z^2+378z+1)^3\)
| \(-\frac{ 7}{ 2187}-\frac{ 4}{ 2187}\sqrt{ 2}I\) | \(-\frac{ 7}{ 2187}+\frac{ 4}{ 2187}\sqrt{ 2}I\) | \(0\) | \(\frac{ 1}{ 243}\) | \(\frac{ 1}{ 27}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(0\) | \(3\) | \(1\) | \(1\) |
| \(2\) | \(2\) | \(0\) | \(4\) | \(2\) | \(1\) |
6
New Number: 9.5 | AESZ: | Superseeker: 17/3 4127/9 | Hash: 98a7e046a956f1c9ec13973072ab8283
Degree: 9
\(3^{2} \theta^4-3 x\left(152\theta^4+316\theta^3+245\theta^2+87\theta+12\right)-x^{2}\left(5808+25608\theta+43193\theta^2+31076\theta^3+8807\theta^4\right)-2 x^{3}\left(10633\theta^4+106320\theta^3+235087\theta^2+185292\theta+52896\right)+2^{2} x^{4}\left(65651\theta^4+19144\theta^3-434467\theta^2-508704\theta-175376\right)+2^{3} x^{5}\left(151497\theta^4+645060\theta^3+272053\theta^2-269230\theta-183720\right)-2^{8} x^{6}\left(3386\theta^4-52470\theta^3-83275\theta^2-46299\theta-7926\right)-2^{10} x^{7}\left(11425\theta^4+14072\theta^3-3794\theta^2-13632\theta-5575\right)-2^{15} x^{8}(590\theta^2+1126\theta+597)(\theta+1)^2-2^{20} 3^{2} x^{9}(\theta+1)^2(\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 4, 108, 3496, 137548, ... --> OEIS Normalized instanton numbers (n0=1): 17/3, 257/6, 4127/9, 23827/3, 496999/3, ... ; Common denominator:...
\(-(9z+1)(2z+1)(z+1)(128z^2+64z-1)(-3-2z+64z^2)^2\)
| \(-1\) | \(-\frac{ 1}{ 4}-\frac{ 3}{ 16}\sqrt{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 1}{ 64}-\frac{ 1}{ 64}\sqrt{ 193}\) | \(-\frac{ 1}{ 9}\) | \(0\) | \(-\frac{ 1}{ 4}+\frac{ 3}{ 16}\sqrt{ 2}\) | \(\frac{ 1}{ 64}+\frac{ 1}{ 64}\sqrt{ 193}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(3\) | \(1\) | \(0\) | \(1\) | \(3\) | \(2\) |
| \(2\) | \(2\) | \(2\) | \(4\) | \(2\) | \(0\) | \(2\) | \(4\) | \(2\) |
7
New Number: 9.6 | AESZ: | Superseeker: 95/102 1421/102 | Hash: 04982735f3d6178049251771352a0277
Degree: 9
\(2^{2} 3^{2} 17^{2} \theta^4-2 3 17 x\left(1238\theta^4+2434\theta^3+1931\theta^2+714\theta+102\right)-x^{2}\left(1905719\theta^4+7435898\theta^3+11481377\theta^2+8054838\theta+2175150\right)-x^{3}\left(65375064\theta+31069026\theta^3+4568070\theta^4+22153074+70031651\theta^2\right)+x^{4}\left(4512344\theta^4-46914039-80101802\theta^2-111691663\theta-9395414\theta^3\right)+x^{5}\left(36577126+121266438\theta^3+23432568\theta^4+137186363\theta+194777323\theta^2\right)+x^{6}\left(69502656\theta^3-1312570+57037497\theta+121320734\theta^2+4255715\theta^4\right)-3 13 x^{7}\left(877789\theta^4+3969932\theta^3+7763293\theta^2+7084011\theta+2438016\right)-3^{2} 5 13^{2} x^{8}(\theta+1)(1514\theta^3+4164\theta^2+3373\theta+681)+3^{3} 5^{2} 13^{3} x^{9}(3\theta+5)(3\theta+4)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1, 17, 163, 2233, ... --> OEIS Normalized instanton numbers (n0=1): 95/102, 58/17, 1421/102, 1451/17, 31474/51, ... ; Common denominator:...
\((1-12z-181z^2-510z^3-328z^4+351z^5)(-102+7z+195z^2)^2\)
| \(-\frac{ 7}{ 390}-\frac{ 1}{ 390}\sqrt{ 79609}\) | \(0\) | \(-\frac{ 7}{ 390}+\frac{ 1}{ 390}\sqrt{ 79609}\) | \(#ND+#NDI\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(3\) | \(0\) | \(3\) | \(1\) | \(\frac{ 5}{ 3}\) |
| \(4\) | \(0\) | \(4\) | \(2\) | \(2\) |
8
New Number: 9.7 | AESZ: | Superseeker: 9 2564/3 | Hash: 9bb7a7f3a3d5f66018396173696c194c
Degree: 9
\(\theta^4+3 x\left(93\theta^4+42\theta^3+49\theta^2+28\theta+6\right)+2^{2} 3^{3} x^{2}\left(307\theta^4+328\theta^3+401\theta^2+230\theta+53\right)+2^{2} 3^{5} x^{3}\left(2268\theta^4+4128\theta^3+5443\theta^2+3525\theta+932\right)+2^{4} 3^{7} x^{4}\left(2588\theta^4+6880\theta^3+10145\theta^2+7398\theta+2167\right)+2^{6} 3^{9} x^{5}\left(1897\theta^4+6694\theta^3+11167\theta^2+9015\theta+2853\right)+2^{8} 3^{11} x^{6}\left(895\theta^4+3912\theta^3+7309\theta^2+6408\theta+2150\right)+2^{8} 3^{13} x^{7}\left(1048\theta^4+5360\theta^3+10939\theta^2+10155\theta+3534\right)+2^{10} 3^{15} x^{8}(\theta+1)(172\theta^3+804\theta^2+1295\theta+699)+2^{12} 3^{18} x^{9}(\theta+2)(\theta+1)(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, -18, 378, -8676, 213354, ... --> OEIS Normalized instanton numbers (n0=1): 9, -72, 2564/3, -12924, 228024, ... ; Common denominator:...
\((27z+1)(432z^2+36z+1)(36z+1)^2(648z^2+72z+1)^2\)
| \(-\frac{ 1}{ 18}-\frac{ 1}{ 36}\sqrt{ 2}\) | \(-\frac{ 1}{ 24}-\frac{ 1}{ 72}\sqrt{ 3}I\) | \(-\frac{ 1}{ 24}+\frac{ 1}{ 72}\sqrt{ 3}I\) | \(-\frac{ 1}{ 27}\) | \(-\frac{ 1}{ 36}\) | \(-\frac{ 1}{ 18}+\frac{ 1}{ 36}\sqrt{ 2}\) | \(0\) | \(\infty\) |
|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(3\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(4\) | \(2\) | \(2\) | \(2\) | \(1\) | \(4\) | \(0\) | \(2\) |
9
New Number: 9.8 | AESZ: | Superseeker: 6/17 688/17 | Hash: 0574d9effd306eb6c9288752b7670904
Degree: 9
\(17^{2} \theta^4-2 17 x\left(164\theta^4-164\theta^3-167\theta^2-85\theta-17\right)-2^{2} x^{2}\left(35300\theta^4+95864\theta^3+121575\theta^2+70856\theta+16235\right)+2^{2} x^{3}\left(427984\theta^4-277824\theta^3-1460293\theta^2-1490475\theta-492694\right)+2^{4} x^{4}\left(2088512\theta^4+6692704\theta^3+7319011\theta^2+3820745\theta+794302\right)-2^{6} x^{5}\left(1379872\theta^4-6413120\theta^3-11843583\theta^2-9110135\theta-2589134\right)-2^{8} x^{6}\left(13237904\theta^4+37140384\theta^3+64254239\theta^2+57084594\theta+19379105\right)-2^{10} 3^{2} 5 x^{7}\left(255072\theta^4+803200\theta^3+1114259\theta^2+709496\theta+167515\right)+2^{12} 3^{3} 5^{2} 7 x^{8}(2224\theta^2+11008\theta+12225)(\theta+1)^2+2^{18} 3^{3} 5^{4} 7^{2} x^{9}(\theta+1)^2(\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, -2, 18, -20, 1330, ... --> OEIS Normalized instanton numbers (n0=1): 6/17, 83/17, 688/17, 7350/17, 5150, ... ; Common denominator:...
\((4z-1)(12z+1)(1600z^3+272z^2+8z-1)(-17+164z+1680z^2)^2\)
| \(-\frac{ 41}{ 840}-\frac{ 1}{ 840}\sqrt{ 8821}\) | ≈\(-0.106819-0.053966I\) | ≈\(-0.106819+0.053966I\) | \(-\frac{ 1}{ 12}\) | \(0\) | ≈\(0.043637\) | \(-\frac{ 41}{ 840}+\frac{ 1}{ 840}\sqrt{ 8821}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(1\) | \(2\) |
| \(4\) | \(2\) | \(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(2\) | \(2\) |
10
New Number: 9.9 | AESZ: | Superseeker: 256/31 28062/31 | Hash: 924a831431fc249044fe63cfea0eb535
Degree: 9
\(31^{2} \theta^4-31 x\left(2836\theta^4+4790\theta^3+3728\theta^2+1333\theta+186\right)-x^{2}\left(1539241\theta^2+1291677\theta+342550-558095\theta^4+131134\theta^3\right)+x^{3}\left(6495560\theta^2+387046\theta^4+6264048\theta^3+558+2100591\theta\right)+x^{4}\left(3388169\theta-7521396\theta^3-5037573\theta^4+2030450-2351908\theta^2\right)-2 x^{5}\left(2014896\theta^4+11047341\theta^3+24693967\theta^2+23008058\theta+7682256\right)+x^{6}\left(37321692\theta+8697364+6817193\theta^4+33832842\theta^3+56561513\theta^2\right)+2 11 x^{7}\left(351229\theta^4+2420534\theta^3+6030705\theta^2+6243956\theta+2275780\right)+2^{2} 11^{2} x^{8}(3667\theta^2+17036\theta+18316)(\theta+1)^2+2^{3} 11^{4} x^{9}(\theta+1)^2(\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 178, 7404, 370674, ... --> OEIS Normalized instanton numbers (n0=1): 256/31, 1982/31, 28062/31, 591475/31, 15400630/31, ... ; Common denominator:...
\((2z+1)(121z^2-86z+1)(z+1)^2(22z^2+147z-31)^2\)
| \(-\frac{ 147}{ 44}-\frac{ 1}{ 44}\sqrt{ 24337}\) | \(-1\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(\frac{ 43}{ 121}-\frac{ 24}{ 121}\sqrt{ 3}\) | \(-\frac{ 147}{ 44}+\frac{ 1}{ 44}\sqrt{ 24337}\) | \(\frac{ 43}{ 121}+\frac{ 24}{ 121}\sqrt{ 3}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(3\) | \(1\) | \(2\) |
| \(4\) | \(1\) | \(2\) | \(0\) | \(2\) | \(4\) | \(2\) | \(2\) |