You searched for: Spectrum0=0,0,0,0
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541
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:...
\((1-12z-181z^2-510z^3-328z^4+351z^5)(-102+7z+195z^2)^2\)
| \(-\frac{ 7}{ 390}-\frac{ 1}{ 390}\sqrt{ 79609}\) | \(0\) | \(-\frac{ 7}{ 390}+\frac{ 1}{ 390}\sqrt{ 79609}\) | \(#ND+#NDI\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(3\) | \(0\) | \(3\) | \(1\) | \(\frac{ 5}{ 3}\) |
| \(4\) | \(0\) | \(4\) | \(2\) | \(2\) |
542
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:...
\((27z+1)(432z^2+36z+1)(36z+1)^2(648z^2+72z+1)^2\)
| \(-\frac{ 1}{ 18}-\frac{ 1}{ 36}\sqrt{ 2}\) | \(-\frac{ 1}{ 24}-\frac{ 1}{ 72}\sqrt{ 3}I\) | \(-\frac{ 1}{ 24}+\frac{ 1}{ 72}\sqrt{ 3}I\) | \(-\frac{ 1}{ 27}\) | \(-\frac{ 1}{ 36}\) | \(-\frac{ 1}{ 18}+\frac{ 1}{ 36}\sqrt{ 2}\) | \(0\) | \(\infty\) |
|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(3\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(4\) | \(2\) | \(2\) | \(2\) | \(1\) | \(4\) | \(0\) | \(2\) |
543
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:...
\((4z-1)(12z+1)(1600z^3+272z^2+8z-1)(-17+164z+1680z^2)^2\)
| \(-\frac{ 41}{ 840}-\frac{ 1}{ 840}\sqrt{ 8821}\) | ≈\(-0.106819-0.053966I\) | ≈\(-0.106819+0.053966I\) | \(-\frac{ 1}{ 12}\) | \(0\) | ≈\(0.043637\) | \(-\frac{ 41}{ 840}+\frac{ 1}{ 840}\sqrt{ 8821}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(1\) | \(2\) |
| \(4\) | \(2\) | \(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(2\) | \(2\) |
544
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:...
\((2z+1)(121z^2-86z+1)(z+1)^2(22z^2+147z-31)^2\)
| \(-\frac{ 147}{ 44}-\frac{ 1}{ 44}\sqrt{ 24337}\) | \(-1\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(\frac{ 43}{ 121}-\frac{ 24}{ 121}\sqrt{ 3}\) | \(-\frac{ 147}{ 44}+\frac{ 1}{ 44}\sqrt{ 24337}\) | \(\frac{ 43}{ 121}+\frac{ 24}{ 121}\sqrt{ 3}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(3\) | \(1\) | \(2\) |
| \(4\) | \(1\) | \(2\) | \(0\) | \(2\) | \(4\) | \(2\) | \(2\) |
545
New Number: 8.87 | AESZ: | Superseeker: 10 18994/9 | Hash: 038b62cbc5b6e43ac232ededcc3b6a59
Degree: 8
\(\theta^4+2 x\theta(-2-13\theta-22\theta^2+88\theta^3)+2^{2} x^{2}\left(3323\theta^4+722\theta^3+2365\theta^2+1306\theta+256\right)+2^{4} 3 x^{3}\left(12903\theta^4+16874\theta^3+21943\theta^2+11164\theta+2164\right)+2^{5} x^{4}\left(618707\theta^4+1367710\theta^3+1570347\theta^2+801712\theta+157652\right)+2^{9} 3 x^{5}\left(248985\theta^4+660583\theta^3+726977\theta^2+362865\theta+69886\right)+2^{11} x^{6}\left(1818051\theta^4+4794576\theta^3+4692593\theta^2+2080392\theta+357884\right)+2^{17} 5 7 x^{7}\left(3223\theta^4+8030\theta^3+8618\theta^2+4603\theta+1002\right)+2^{23} 5^{2} 7^{2} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, -64, 576, 22716, ... --> OEIS Normalized instanton numbers (n0=1): 10, -581/4, 18994/9, -274969/8, 3458142/5, ... ; Common denominator:...
\((1+44z+2008z^2+39424z^3+32768z^4)(10z+1)^2(56z+1)^2\)
| \(-\frac{ 1}{ 10}\) | \(-\frac{ 1}{ 56}\) | \(0\) | \(s_1\) | \(s_3\) | \(s_2\) | \(s_4\) | \(\infty\) |
|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(4\) | \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(2\) | \(1\) |
546
New Number: 1.11 | AESZ: 11 | Superseeker: 324 10792428 | Hash: 8ac8b98b80383c9f0ea125ccd6e6a55d
Degree: 1
\(\theta^4-2^{2} 3 x(4\theta+1)(3\theta+1)(3\theta+2)(4\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 72, 37800, 31046400, 31216185000, ... --> OEIS Normalized instanton numbers (n0=1): 324, 37260, 10792428, 4580482284, 2405245303584, ... ; Common denominator:...
\(1-1728z\)
| \(0\) | \(\frac{ 1}{ 1728}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(2\) | \(\frac{ 3}{ 4}\) |
547
New Number: 1.12 | AESZ: 12 | Superseeker: 7776 66942277344 | Hash: ad7e2e881b3939396323eb746eb17a58
Degree: 1
\(\theta^4-2^{4} 3 x(6\theta+1)(4\theta+1)(4\theta+3)(6\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 720, 5821200, 75473798400, 1205906199498000, ... --> OEIS Normalized instanton numbers (n0=1): 7776, 13952088, 66942277344, 475338414733416, 4184555647748620320, ... ; Common denominator:...
\(1-27648z\)
| \(0\) | \(\frac{ 1}{ 27648}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 4}\) |
| \(0\) | \(1\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(2\) | \(\frac{ 5}{ 6}\) |
548
New Number: 1.13 | AESZ: 13 | Superseeker: 67104 28583248229280 | Hash: f833f256db6c016c021add7a2104d2c7
Degree: 1
\(\theta^4-2^{4} 3^{2} x(6\theta+1)^2(6\theta+5)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 3600, 192099600, 16679709446400, 1791735431214128400, ... --> OEIS Normalized instanton numbers (n0=1): 67104, 847288224, 28583248229280, 1431885139218997920, 88985016340513371957600, ... ; Common denominator:...
\(1-186624z\)
| \(0\) | \(\frac{ 1}{ 186624}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 6}\) |
| \(0\) | \(1\) | \(\frac{ 5}{ 6}\) |
| \(0\) | \(2\) | \(\frac{ 5}{ 6}\) |
549
New Number: 1.14 | AESZ: 14 | Superseeker: 1248 683015008 | Hash: 03af56f4ae0cea2c4b219620b08dc49b
Degree: 1
\(\theta^4-2^{4} 3 x(6\theta+1)(2\theta+1)^2(6\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 240, 498960, 1633632000, 6558930378000, ... --> OEIS Normalized instanton numbers (n0=1): 1248, 597192, 683015008, 1149904141056, 2394928461766560, ... ; Common denominator:...
\(1-6912z\)
| \(0\) | \(\frac{ 1}{ 6912}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(2\) | \(\frac{ 5}{ 6}\) |
550
New Number: 1.1 | AESZ: 1 | Superseeker: 575 63441275 | Hash: c86f1c284d8c5119801c6ba1343172bb
Degree: 1
\(\theta^4-5 x(5\theta+1)(5\theta+2)(5\theta+3)(5\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 120, 113400, 168168000, 305540235000, ... --> OEIS Normalized instanton numbers (n0=1): 575, 121850, 63441275, 48493506000, 45861177777525, ... ; Common denominator:...
\(1-3125z\)
| \(0\) | \(\frac{ 1}{ 3125}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 5}\) |
| \(0\) | \(1\) | \(\frac{ 2}{ 5}\) |
| \(0\) | \(1\) | \(\frac{ 3}{ 5}\) |
| \(0\) | \(2\) | \(\frac{ 4}{ 5}\) |
551
New Number: 1.2 | AESZ: 2 | Superseeker: 231200 1700894366474400 | Hash: 709cba5c90462e9488c8a3dbbee8f89c
Degree: 1
\(\theta^4-2^{4} 5 x(10\theta+1)(10\theta+3)(10\theta+7)(10\theta+9)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 15120, 3491888400, 1304290155168000, 601680868708529610000, ... --> OEIS Normalized instanton numbers (n0=1): 231200, 12215785600, 1700894366474400, 350154658851324656000, 89338191421813572850115680, ... ; Common denominator:...
\(1-800000z\)
| \(0\) | \(\frac{ 1}{ 800000}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 10}\) |
| \(0\) | \(1\) | \(\frac{ 3}{ 10}\) |
| \(0\) | \(1\) | \(\frac{ 7}{ 10}\) |
| \(0\) | \(2\) | \(\frac{ 9}{ 10}\) |
552
New Number: 1.3 | AESZ: 3 | Superseeker: 32 26016 | Hash: e7a9c334fb603aceccc0517dab63e7d4
Degree: 1
\(\theta^4-2^{4} x\left((2\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 1296, 160000, 24010000, ... --> OEIS Normalized instanton numbers (n0=1): 32, 608, 26016, 1606496, 122373984, ... ; Common denominator:...
\(1-256z\)
| \(0\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(2\) | \(\frac{ 1}{ 2}\) |
553
New Number: 1.4 | AESZ: 4 | Superseeker: 117 713814 | Hash: 1f2a9672b7cdc68eae658b2304b40dbd
Degree: 1
\(\theta^4-3^{2} x(3\theta+1)^2(3\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 36, 8100, 2822400, 1200622500, ... --> OEIS Normalized instanton numbers (n0=1): 117, 5868, 713814, 126605376, 27754210287, ... ; Common denominator:...
\(1-729z\)
| \(0\) | \(\frac{ 1}{ 729}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(2\) | \(\frac{ 2}{ 3}\) |
554
New Number: 1.5 | AESZ: 5 | Superseeker: 60 134292 | Hash: a6c4fb927cb2a4bb1103c1c739a252b0
Degree: 1
\(\theta^4-2^{2} 3 x(3\theta+1)(2\theta+1)^2(3\theta+2)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 3240, 672000, 169785000, ... --> OEIS Normalized instanton numbers (n0=1): 60, 1869, 134292, 14016600, 1806410976, ... ; Common denominator:...
\(1-432z\)
| \(0\) | \(\frac{ 1}{ 432}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(2\) | \(\frac{ 2}{ 3}\) |
555
New Number: 1.6 | AESZ: 6 | Superseeker: 160 1956896 | Hash: 483b4ca5270ed3bfca9243827b62064e
Degree: 1
\(\theta^4-2^{4} x(4\theta+1)(2\theta+1)^2(4\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 48, 15120, 7392000, 4414410000, ... --> OEIS Normalized instanton numbers (n0=1): 160, 11536, 1956896, 485487816, 148865410272, ... ; Common denominator:...
\(1-1024z\)
| \(0\) | \(\frac{ 1}{ 1024}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(2\) | \(\frac{ 3}{ 4}\) |
556
New Number: 1.7 | AESZ: 7 | Superseeker: 14752 711860273440 | Hash: b899892fb606c7eeb86a2cc55f92d6f2
Degree: 1
\(\theta^4-2^{4} x(8\theta+1)(8\theta+3)(8\theta+5)(8\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1680, 32432400, 999456057600, 37905932634570000, ... --> OEIS Normalized instanton numbers (n0=1): 14752, 64417456, 711860273440, 11596528012396656, 233938237312624658400, ... ; Common denominator:...
\(1-65536z\)
| \(0\) | \(\frac{ 1}{ 65536}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 8}\) |
| \(0\) | \(1\) | \(\frac{ 3}{ 8}\) |
| \(0\) | \(1\) | \(\frac{ 5}{ 8}\) |
| \(0\) | \(2\) | \(\frac{ 7}{ 8}\) |
557
New Number: 1.8 | AESZ: 8 | Superseeker: 2628 3966805740 | Hash: 1a7187fdf63fe8761c969fdab1af1c36
Degree: 1
\(\theta^4-2^{2} 3^{2} x(6\theta+1)(3\theta+1)(3\theta+2)(6\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 360, 1247400, 6861254400, 46381007673000, ... --> OEIS Normalized instanton numbers (n0=1): 2628, 2009484, 3966805740, 11533584001896, 41531678111043360, ... ; Common denominator:...
\(1-11664z\)
| \(0\) | \(\frac{ 1}{ 11664}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(2\) | \(\frac{ 5}{ 6}\) |
558
New Number: 1.9 | AESZ: 9 | Superseeker: 678816 69080128815414048 | Hash: 33dd5470a0dc987468fcd11c1de8ee11
Degree: 1
\(\theta^4-2^{4} 3^{2} x(12\theta+1)(12\theta+5)(12\theta+7)(12\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 55440, 48188059920, 67388324683680000, 116214168909224876490000, ... --> OEIS Normalized instanton numbers (n0=1): 678816, 137685060720, 69080128815414048, 51172489466251340674608, 46928387692914781844159094240, ... ; Common denominator:...
\(1-2985984z\)
| \(0\) | \(\frac{ 1}{ 2985984}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 12}\) |
| \(0\) | \(1\) | \(\frac{ 5}{ 12}\) |
| \(0\) | \(1\) | \(\frac{ 7}{ 12}\) |
| \(0\) | \(2\) | \(\frac{ 11}{ 12}\) |
559
New Number: 2.71 | AESZ: | Superseeker: 0 0 | Hash: 757b011780c5986bd45a5bf434c76c28
Degree: 2
\(\theta^4-2^{5} x(2\theta+1)^2(2\theta^2+2\theta+1)+2^{8} x^{2}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 32, 2160, 181760, 17021200, ... --> OEIS Normalized instanton numbers (n0=1): 0, -20, 0, -865, 0, ... ; Common denominator:...
\((-1+128z)^2\)
| \(0\) | \(\frac{ 1}{ 128}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(\frac{ 1}{ 4}\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(\frac{ 3}{ 4}\) | \(\frac{ 5}{ 4}\) |
| \(0\) | \(1\) | \(\frac{ 3}{ 2}\) |
560
New Number: 8.88 | AESZ: | Superseeker: 571/15 394769/15 | Hash: 96ea6b0b71373481f874100af7f89d67
Degree: 8
\(3^{2} 5^{2} \theta^4-3 5 x\left(4063\theta^4+7682\theta^3+5731\theta^2+1890\theta+240\right)+2 x^{2}\left(605228\theta^4+1651274\theta^3+1743713\theta^2+827790\theta+149520\right)-2^{2} x^{3}\left(122453\theta^4+9232248\theta^3+20066474\theta^2+11895930\theta+2347980\right)-2^{3} x^{4}\left(14154736\theta^4-3374404\theta^3-69996921\theta^2-57156850\theta-13566428\right)+2^{4} x^{5}\left(30476536\theta^4+168961384\theta^3-11782973\theta^2-90041748\theta-28710648\right)+2^{6} 23 x^{6}\left(1194624\theta^4-7988712\theta^3-9497764\theta^2-3726021\theta-451296\right)-2^{8} 7 23^{2} x^{7}(2\theta+1)(8454\theta^3+5577\theta^2-4303\theta-3155)+2^{10} 7^{2} 23^{3} x^{8}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 1224, 146320, 21334600, ... --> OEIS Normalized instanton numbers (n0=1): 571/15, 3038/5, 394769/15, 23541584/15, 352406944/3, ... ; Common denominator:...
\((1-261z+2952z^2-12368z^3+23552z^4)(-15+74z+1288z^2)^2\)
| \(0\) | \(s_1\) | \(s_3\) | \(s_2\) | \(s_5\) | \(s_4\) | \(s_6\) | \(\infty\) |
|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(3\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) | \(\frac{ 5}{ 4}\) |
| \(0\) | \(4\) | \(2\) | \(4\) | \(2\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
561
New Number: 32.1 | AESZ: | Superseeker: 13 1275 | Hash: 5c2e3e1d3e85022a77a9136d2272db2f
Degree: 32
\(\theta^4+x\left(52\theta^4-36\theta-142\theta^3-5-107\theta^2\right)-x^{2}\left(620\theta+8686\theta^3+170+2477\theta^2+1603\theta^4\right)-2 x^{3}\left(57842\theta^4+88182\theta^3+89923\theta^2+53586\theta+14064\right)-x^{4}\left(2697348\theta^3+3016956\theta+1218741\theta^4+4034478\theta^2+1011862\right)+x^{5}\left(4154284\theta^4-36611635\theta^2-9502094\theta^3-20359939-44530432\theta\right)-x^{6}\left(337605744\theta-48775967\theta^4+194246629\theta^2-5346306\theta^3+193227408\right)-2^{2} x^{7}\left(20258471\theta^4-183191522\theta^3-458704813\theta^2-332600094\theta-41903870\right)-2^{3} x^{8}\left(66325647\theta^4-411353730\theta^3-1541171000\theta^2-2130504013\theta-1105449340\right)+2^{5} 3 x^{9}\left(1066771\theta^4-131777420\theta^3+79983198\theta^2+543150745\theta+463708954\right)-2^{4} x^{10}\left(143783659\theta^4+4053640514\theta^3+9858746999\theta^2+7077509476\theta-502326500\right)+2^{7} x^{11}\left(138368083\theta^4+183238033\theta^3-3310018192\theta^2-6653286340\theta-3889203872\right)+2^{7} x^{12}\left(496481718\theta^4+4322462304\theta^3+199787519\theta^2-15317512629\theta-16640068710\right)-2^{8} x^{13}\left(289743462\theta^4-4401242298\theta^3-13355918183\theta^2-7397020754\theta+6375065509\right)-2^{10} x^{14}\left(396133743\theta^4-1333996518\theta^3-15885985865\theta^2-33541445647\theta-23107708481\right)-2^{11} x^{15}\left(453981938\theta^4+4435638750\theta^3+3949663684\theta^2-11263025013\theta-17739853167\right)-2^{12} x^{16}\left(227785391\theta^4+9832817848\theta^3+42310236910\theta^2+74461395968\theta+49621401789\right)+2^{15} x^{17}\left(198897592\theta^4+11771212\theta^3-3867168178\theta^2-11297299537\theta-10235944704\right)+2^{16} x^{18}\left(383086368\theta^4+3420815388\theta^3+11952116012\theta^2+20508953472\theta+14439167835\right)+2^{17} x^{19}\left(190788296\theta^4+2425061392\theta^3+10401497028\theta^2+20606177314\theta+16211593657\right)-2^{19} x^{20}\left(54126314\theta^4+419989028\theta^3+1520710075\theta^2+2841733138\theta+2156782988\right)-2^{21} 3 x^{21}\left(13401434\theta^4+146502422\theta^3+639965165\theta^2+1327396637\theta+1086335005\right)-2^{22} x^{22}\left(10981880\theta^4+141779260\theta^3+691712182\theta^2+1569642590\theta+1393845167\right)+2^{23} x^{23}\left(6721988\theta^4+71373164\theta^3+305959012\theta^2+607082692\theta+457859591\right)+2^{24} x^{24}\left(5172254\theta^4+63781560\theta^3+312564510\theta^2+712915992\theta+628949703\right)+2^{27} x^{25}\left(151244\theta^4+2505628\theta^3+15500094\theta^2+43116865\theta+45072668\right)-2^{28} x^{26}\left(133829\theta^4+1536890\theta^3+6680129\theta^2+12566244\theta+8313095\right)-2^{29} x^{27}\left(54212\theta^4+746052\theta^3+3929140\theta^2+9277842\theta+8249757\right)-2^{31} x^{28}\left(1640\theta^4+35404\theta^3+249484\theta^2+728729\theta+767131\right)+2^{32} x^{29}\left(1266\theta^4+15354\theta^3+69999\theta^2+141732\theta+107131\right)+2^{34} x^{30}\left(187\theta^4+2670\theta^3+14509\theta^2+35511\theta+32982\right)+2^{35} x^{31}\left(22\theta^4+338\theta^3+1960\theta^2+5079\theta+4958\right)+2^{36} x^{32}\left((\theta+4)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 5, 85, 2033, 56701, ... --> OEIS Normalized instanton numbers (n0=1): 13, -305/4, 1275, -82705/4, 456346, ... ; Common denominator:...
\((2z+1)(z+1)(8z^2+16z+1)(8z^3+28z^2+46z-1)(8z^3+8z^2+z-1)(z-1)^2(8z^2+1)^2(1024z^8+2560z^7-1792z^6-3520z^5-1616z^4+920z^3+36z^2-41z-1)^2\)
| \(-1\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(s_18\) | \(s_15\) | \(s_14\) | \(s_17\) | \(s_16\) | \(s_11\) | \(s_10\) | \(s_13\) | \(s_12\) | \(s_1\) | \(s_3\) | \(s_2\) | \(s_5\) | \(s_4\) | \(s_7\) | \(s_6\) | \(s_9\) | \(s_8\) | \(1\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(4\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(4\) |
| \(1\) | \(1\) | \(0\) | \(3\) | \(3\) | \(3\) | \(3\) | \(3\) | \(3\) | \(1\) | \(3\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(4\) |
| \(2\) | \(2\) | \(0\) | \(4\) | \(4\) | \(4\) | \(4\) | \(4\) | \(4\) | \(2\) | \(4\) | \(4\) | \(1\) | \(2\) | \(1\) | \(2\) | \(2\) | \(2\) | \(2\) | \(2\) | \(2\) | \(1\) | \(4\) |