You searched for: Spectrum0=0,1,1,2
Your search produced 482 matches
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181-210 211-240 241-270 271-300 301-330 331-360
361-390 391-420 421-450 451-480 481-482
121
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:...
\(-(-1+324z)(24z-1)^2(4z-1)^2\)
| \(0\) | \(\frac{ 1}{ 324}\) | \(\frac{ 1}{ 24}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(0\) | \(2\) | \(4\) | \(1\) | \(\frac{ 3}{ 2}\) |
122
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:...
\(-(4z-1)(16z-1)(54z-1)(7+2z)^2\)
| \(-\frac{ 7}{ 2}\) | \(0\) | \(\frac{ 1}{ 54}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 4}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 5}{ 4}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 4}{ 3}\) |
123
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:...
\(-(4z-1)(108z-1)(8z-1)(-3+64z)^2\)
| \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 3}{ 64}\) | \(\frac{ 1}{ 8}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(2\) | \(4\) | \(2\) | \(2\) | \(\frac{ 4}{ 3}\) |
124
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:...
\(-(108z-1)(4z+1)^2(10z-1)^2\)
| \(-\frac{ 1}{ 4}\) | \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 10}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
| \(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(3\) | \(1\) |
| \(1\) | \(0\) | \(2\) | \(4\) | \(\frac{ 7}{ 6}\) |
125
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:...
\(-(16z+1)(8z+1)(64z-1)(-1+24z)^2\)
| \(-\frac{ 1}{ 8}\) | \(-\frac{ 1}{ 16}\) | \(0\) | \(\frac{ 1}{ 64}\) | \(\frac{ 1}{ 24}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(1\) |
| \(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(\frac{ 5}{ 4}\) |
126
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:...
\(-(27z+1)(1024z^2-64z-1)(5+16z)^2\)
| \(-\frac{ 5}{ 16}\) | \(-\frac{ 1}{ 27}\) | \(\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 2}\) | \(0\) | \(\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(3\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(4\) | \(2\) | \(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
127
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:...
\(-(-1+768z)(3072z-1)^2(1024z-1)^2\)
| \(0\) | \(\frac{ 1}{ 3072}\) | \(\frac{ 1}{ 1024}\) | \(\frac{ 1}{ 768}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) |
| \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) |
| \(0\) | \(4\) | \(1\) | \(2\) | \(\frac{ 3}{ 2}\) |
128
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:...
\(-(-1+2187z)(8748z-1)^2(2916z-1)^2\)
| \(0\) | \(\frac{ 1}{ 8748}\) | \(\frac{ 1}{ 2916}\) | \(\frac{ 1}{ 2187}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(0\) | \(4\) | \(1\) | \(2\) | \(\frac{ 3}{ 2}\) |
129
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:...
\(-(-1+12288z)(49152z-1)^2(16384z-1)^2\)
| \(0\) | \(\frac{ 1}{ 49152}\) | \(\frac{ 1}{ 16384}\) | \(\frac{ 1}{ 12288}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(4\) | \(1\) | \(2\) | \(\frac{ 3}{ 2}\) |
130
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:...
\(-(-1+559872z)(2239488z-1)^2(746496z-1)^2\)
| \(0\) | \(\frac{ 1}{ 2239488}\) | \(\frac{ 1}{ 746496}\) | \(\frac{ 1}{ 559872}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(4\) | \(1\) | \(2\) | \(\frac{ 5}{ 3}\) |
131
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:...
\((1+768z)(1024z+1)^2(3072z+1)^2\)
| \(-\frac{ 1}{ 768}\) | \(-\frac{ 1}{ 1024}\) | \(-\frac{ 1}{ 3072}\) | \(0\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(1\) |
| \(2\) | \(1\) | \(4\) | \(0\) | \(\frac{ 3}{ 2}\) |
132
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:...
\((4z-1)(500z-1)(12z+1)(1+120z)^2\)
| \(-\frac{ 1}{ 12}\) | \(-\frac{ 1}{ 120}\) | \(0\) | \(\frac{ 1}{ 500}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
133
New Number: 5.11 | AESZ: 71 | Superseeker: 112 378800 | Hash: cf4de65b0566a4f6294132c167d227eb
Degree: 5
\(\theta^4+2^{4} x\left(39\theta^4-42\theta^3-29\theta^2-8\theta-1\right)+2^{11} x^{2}\theta(37\theta^3-137\theta^2-10\theta-1)-2^{16} x^{3}\left(181\theta^4+456\theta^3+353\theta^2+132\theta+19\right)-2^{23} 5 x^{4}\left(36\theta^4+60\theta^3+36\theta^2+6\theta-1\right)+2^{30} 5^{2} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 656, 40192, 3006736, ... --> OEIS Normalized instanton numbers (n0=1): 112, -4570, 378800, -40565898, 5098744272, ... ; Common denominator:...
\((16z-1)(128z-1)(128z+1)(1+320z)^2\)
| \(-\frac{ 1}{ 128}\) | \(-\frac{ 1}{ 320}\) | \(0\) | \(\frac{ 1}{ 128}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(1\) |
134
New Number: 5.120 | AESZ: | Superseeker: 48 171120 | Hash: 3eb6b52ff225f7b2f94716d73344b578
Degree: 5
\(\theta^4-2^{4} x\left(41\theta^4+34\theta^3+25\theta^2+8\theta+1\right)+2^{10} x^{2}\left(126\theta^4+108\theta^3+33\theta^2+6\theta+1\right)-2^{14} x^{3}\left(564\theta^4+504\theta^3+429\theta^2+195\theta+34\right)+2^{21} x^{4}(2\theta+1)(44\theta^3+78\theta^2+59\theta+17)-2^{28} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 1680, 298240, 64975120, ... --> OEIS Normalized instanton numbers (n0=1): 48, 2286, 171120, 17540830, 2229934864, ... ; Common denominator:...
\(-(16z-1)(4096z^2-384z+1)(-1+128z)^2\)
| \(0\) | \(\frac{ 3}{ 64}-\frac{ 1}{ 32}\sqrt{ 2}\) | \(\frac{ 1}{ 128}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 3}{ 64}+\frac{ 1}{ 32}\sqrt{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(2\) | \(4\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
135
New Number: 5.121 | AESZ: | Superseeker: 272 1143760 | Hash: 36da1ed5dd29b416116a3ac9f4b4c4da
Degree: 5
\(\theta^4-2^{4} x\left(17\theta^4+130\theta^3+91\theta^2+26\theta+3\right)-2^{11} x^{2}\left(150\theta^4+204\theta^3-163\theta^2-110\theta-21\right)-2^{16} x^{3}\left(564\theta^4-648\theta^3-595\theta^2-189\theta-18\right)+2^{24} x^{4}(2\theta+1)(52\theta^3+66\theta^2+29\theta+3)-2^{32} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 48, 10128, 3521280, 1516853520, ... --> OEIS Normalized instanton numbers (n0=1): 272, -142, 1143760, 76778666, 28997783216, ... ; Common denominator:...
\(-(16z-1)(16384z^2-768z+1)(1+256z)^2\)
| \(-\frac{ 1}{ 256}\) | \(0\) | \(\frac{ 3}{ 128}-\frac{ 1}{ 64}\sqrt{ 2}\) | \(\frac{ 3}{ 128}+\frac{ 1}{ 64}\sqrt{ 2}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
136
New Number: 5.122 | AESZ: | Superseeker: 19 18641/3 | Hash: 7cc1a0411f21ffd93f1a9f6468627432
Degree: 5
\(\theta^4+x\left(119\theta^4-194\theta^3-143\theta^2-46\theta-6\right)-2^{2} 3^{2} x^{2}\left(46\theta^4+748\theta^3+379\theta^2+150\theta+27\right)-2^{2} 3^{4} x^{3}\left(2164\theta^4+6264\theta^3+7421\theta^2+4131\theta+846\right)-2^{5} 3^{8} x^{4}(2\theta+1)(76\theta^3+222\theta^2+235\theta+85)-2^{8} 3^{12} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 162, 7620, 334530, ... --> OEIS Normalized instanton numbers (n0=1): 19, -170, 18641/3, -163734, 6446745, ... ; Common denominator:...
\(-(81z-1)(1296z^2+56z+1)(1+72z)^2\)
| \(-\frac{ 7}{ 324}-\frac{ 1}{ 81}\sqrt{ 2}I\) | \(-\frac{ 7}{ 324}+\frac{ 1}{ 81}\sqrt{ 2}I\) | \(-\frac{ 1}{ 72}\) | \(0\) | \(\frac{ 1}{ 81}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(3\) | \(0\) | \(1\) | \(1\) |
| \(2\) | \(2\) | \(4\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
137
New Number: 5.123 | AESZ: | Superseeker: 96 266464 | Hash: b9a4a4eae678c9ce13a407517f92c30e
Degree: 5
\(\theta^4+2^{4} x\left(28\theta^4-40\theta^3-28\theta^2-8\theta-1\right)+2^{13} x^{2}\left(6\theta^4-12\theta^3+17\theta^2+10\theta+2\right)+2^{18} x^{3}\left(12\theta^4+72\theta^3+35\theta^2-3\theta-4\right)+2^{26} x^{4}(2\theta+1)(4\theta^3-6\theta^2-15\theta-7)-2^{34} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, -240, -24320, 2075920, ... --> OEIS Normalized instanton numbers (n0=1): 96, -4200, 266464, -20295944, 1778341408, ... ; Common denominator:...
\(-(64z-1)(16384z^2+1)(1+256z)^2\)
| \(-\frac{ 1}{ 256}\) | \(0-\frac{ 1}{ 128}I\) | \(0\) | \(0+\frac{ 1}{ 128}I\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(4\) | \(2\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
138
New Number: 5.124 | AESZ: | Superseeker: 307 4336475 | Hash: 782c2ecb639a2462baac59dfaf17de0e
Degree: 5
\(\theta^4-x\left(1081\theta^4+2594\theta^3+1807\theta^2+510\theta+54\right)-2^{2} 3^{2} x^{2}\left(4686\theta^4+4908\theta^3-2213\theta^2-1738\theta-293\right)-2^{2} 3^{4} x^{3}\left(18484\theta^4-3336\theta^3-4883\theta^2-1101\theta-50\right)+2^{5} 3^{7} x^{4}(2\theta+1)(92\theta^3+134\theta^2+79\theta+17)-2^{8} 3^{8} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 54, 19746, 11427300, 8114331330, ... --> OEIS Normalized instanton numbers (n0=1): 307, 19410, 4336475, 1291393654, 484327566649, ... ; Common denominator:...
\(-(z-1)(1296z^2-1224z+1)(1+72z)^2\)
| \(-\frac{ 1}{ 72}\) | \(0\) | \(\frac{ 17}{ 36}-\frac{ 1}{ 3}\sqrt{ 2}\) | \(\frac{ 17}{ 36}+\frac{ 1}{ 3}\sqrt{ 2}\) | \(1\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
139
New Number: 5.125 | AESZ: | Superseeker: 229 10128562/3 | Hash: ce147b64cc67dee1204a2d16f6ac4210
Degree: 5
\(\theta^4-x\left(1217\theta^4+2050\theta^3+1437\theta^2+412\theta+44\right)+2^{5} x^{2}(\theta+1)(4550\theta^3-186\theta^2-899\theta-171)-2^{8} x^{3}\left(18484\theta^4+3192\theta^3+1005\theta^2+1107\theta+258\right)+2^{14} x^{4}(2\theta+1)(268\theta^3+414\theta^2+267\theta+65)-2^{20} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 44, 14532, 7508960, 4749338020, ... --> OEIS Normalized instanton numbers (n0=1): 229, 18542, 10128562/3, 938391582, 323686899951, ... ; Common denominator:...
\(-(z-1)(1024z^2-1088z+1)(-1+64z)^2\)
| \(0\) | \(\frac{ 17}{ 32}-\frac{ 3}{ 8}\sqrt{ 2}\) | \(\frac{ 1}{ 64}\) | \(1\) | \(\frac{ 17}{ 32}+\frac{ 3}{ 8}\sqrt{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(2\) | \(4\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
140
New Number: 5.126 | AESZ: | Superseeker: 110 729096 | Hash: 511069e41e6328e47a1ea996049096b4
Degree: 5
\(\theta^4-x\left(881\theta^4+1222\theta^3+878\theta^2+267\theta+30\right)+3 x^{2}\left(50601\theta^4+60024\theta^3+17189\theta^2+280\theta-340\right)-3^{2} 5 x^{3}\left(195867\theta^4+207846\theta^3+142719\theta^2+49068\theta+6316\right)+2^{2} 3^{4} 5^{2} x^{4}(3\theta+1)(3\theta+2)(1902\theta^2+1767\theta+386)+2^{2} 3^{6} 5^{4} x^{5}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 30, 6210, 2004240, 789638850, ... --> OEIS Normalized instanton numbers (n0=1): 110, 12935/2, 729096, 247828991/2, 26419290920, ... ; Common denominator:...
\((675z-1)(27z-1)(z+1)(-1+90z)^2\)
| \(-1\) | \(0\) | \(\frac{ 1}{ 675}\) | \(\frac{ 1}{ 90}\) | \(\frac{ 1}{ 27}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(1\) | \(0\) | \(1\) | \(3\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(2\) | \(0\) | \(2\) | \(4\) | \(2\) | \(\frac{ 5}{ 3}\) |
141
New Number: 5.127 | AESZ: | Superseeker: 957/10 1581774/5 | Hash: 8b1c933faa73767af598d82d1e214624
Degree: 5
\(2^{2} 5^{2} \theta^4-2 3 5 x\left(1812\theta^4+3858\theta^3+2799\theta^2+870\theta+100\right)-3 x^{2}\left(293697\theta^4-124614\theta^3-930203\theta^2-562390\theta-95700\right)+3^{3} x^{3}\left(62631\theta^4+977400\theta^3+677140\theta^2+104550\theta-6300\right)+3^{5} 5 13 x^{4}(3\theta+1)(3\theta+2)(308\theta^2-16\theta-231)-3^{8} 13^{2} x^{5}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 30, 5130, 1369200, 446603850, ... --> OEIS Normalized instanton numbers (n0=1): 957/10, 32493/10, 1581774/5, 423123141/10, 14142369903/2, ... ; Common denominator:...
\(-(6561z^3-4320z^2+567z-1)(10+117z)^2\)
| \(-\frac{ 10}{ 117}\) | \(0\) | ≈\(0.001788\) | ≈\(0.178154\) | ≈\(0.478494\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 5}{ 3}\) |
142
New Number: 5.128 | AESZ: | Superseeker: -50 -20600 | Hash: 5a0123bd26e43e2fd9c7e6c3d21a2a33
Degree: 5
\(\theta^4+2 5 x\left(60\theta^3+45\theta^2+15\theta+2\right)-2^{2} 5^{4} x^{2}\left(8\theta^4+8\theta^3-29\theta^2-20\theta-4\right)-2^{4} 5^{5} x^{3}\left(16\theta^4+216\theta^3+288\theta^2+147\theta+26\right)+2^{6} 5^{7} x^{4}(13\theta^2+37\theta+27)(2\theta+1)^2-2^{8} 5^{9} x^{5}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, -20, 900, -38000, 122500, ... --> OEIS Normalized instanton numbers (n0=1): -50, -1675/2, -20600, -1433000, -408984396/5, ... ; Common denominator:...
\(-(800000z^3-10000z^2-200z-1)(-1+100z)^2\)
| ≈\(-0.006091-0.003681I\) | ≈\(-0.006091+0.003681I\) | \(0\) | \(\frac{ 1}{ 100}\) | ≈\(0.024681\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(3\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(2\) | \(2\) | \(0\) | \(4\) | \(2\) | \(\frac{ 3}{ 2}\) |
143
New Number: 5.129 | AESZ: | Superseeker: -26 -8344 | Hash: 6c96cbe2aa88f7096e6b9f02e290d167
Degree: 5
\(\theta^4+2 x\left(24\theta^4+228\theta^3+181\theta^2+67\theta+10\right)-2^{2} 5 x^{2}\left(584\theta^4+392\theta^3-1717\theta^2-1320\theta-300\right)-2^{4} 3 5^{2} x^{3}\left(128\theta^4+2328\theta^3+3008\theta^2+1563\theta+290\right)+2^{6} 3^{2} 5^{3} x^{4}(2\theta+1)(266\theta^3+831\theta^2+883\theta+315)-2^{8} 3^{3} 5^{4} x^{5}(2\theta+1)(6\theta+5)(6\theta+7)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -20, 900, -52400, 3482500, ... --> OEIS Normalized instanton numbers (n0=1): -26, -561/2, -8344, -278334, -11536332, ... ; Common denominator:...
\(-(20z-1)(108z+1)(80z+1)(-1+60z)^2\)
| \(-\frac{ 1}{ 80}\) | \(-\frac{ 1}{ 108}\) | \(0\) | \(\frac{ 1}{ 60}\) | \(\frac{ 1}{ 20}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(1\) | \(0\) | \(3\) | \(1\) | \(\frac{ 7}{ 6}\) |
| \(2\) | \(2\) | \(0\) | \(4\) | \(2\) | \(\frac{ 3}{ 2}\) |
144
New Number: 5.12 | AESZ: 74 | Superseeker: -30 -14632 | Hash: e668180adb7c88d4e5fbab5eb7ee61c7
Degree: 5
\(\theta^4-2 3 x\left(99\theta^4+36\theta^3+39\theta^2+21\theta+4\right)+2^{2} 3^{2} x^{2}\left(3807\theta^4+3564\theta^3+3798\theta^2+1683\theta+284\right)-2^{3} 3^{5} x^{3}\left(7857\theta^4+13608\theta^3+14562\theta^2+7317\theta+1444\right)+2^{4} 3^{9} x^{4}\left(2592\theta^4+7128\theta^3+8550\theta^2+4851\theta+1052\right)-2^{5} 3^{13} x^{5}(3\theta+2)(3\theta+4)(6\theta+5)(6\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 1152, 71520, 5101200, ... --> OEIS Normalized instanton numbers (n0=1): -30, -516, -14632, -4227807/8, -22139868, ... ; Common denominator:...
\(-(-1+54z)(162z-1)^2(108z-1)^2\)
| \(0\) | \(\frac{ 1}{ 162}\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 54}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 5}{ 6}\) |
| \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 7}{ 6}\) |
| \(0\) | \(4\) | \(1\) | \(2\) | \(\frac{ 4}{ 3}\) |
145
New Number: 5.130 | AESZ: | Superseeker: 108 122756 | Hash: 829aca3d7a00547e299bf794c8643162
Degree: 5
\(\theta^4-2^{2} 3 x\left(12\theta^4+96\theta^3+71\theta^2+23\theta+3\right)-2^{4} 3^{3} x^{2}\left(160\theta^4+64\theta^3-544\theta^2-340\theta-65\right)+2^{8} 3^{5} x^{3}\left(32\theta^4+576\theta^3+588\theta^2+240\theta+35\right)+2^{12} 3^{7} x^{4}(28\theta^2+52\theta+31)(2\theta+1)^2+2^{16} 3^{9} x^{5}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 36, 3780, 558000, 98828100, ... --> OEIS Normalized instanton numbers (n0=1): 108, -1782, 122756, -5930658, 607239072, ... ; Common denominator:...
\((144z-1)(6912z^2+288z-1)(1+144z)^2\)
| \(-\frac{ 1}{ 48}-\frac{ 1}{ 72}\sqrt{ 3}\) | \(-\frac{ 1}{ 144}\) | \(0\) | \(-\frac{ 1}{ 48}+\frac{ 1}{ 72}\sqrt{ 3}\) | \(\frac{ 1}{ 144}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
146
New Number: 5.131 | AESZ: | Superseeker: 325 9106834/3 | Hash: 79657f8be76c1fed5fd1a658989ca15a
Degree: 5
\(\theta^4-x\left(60+460\theta+1565\theta^2+2210\theta^3-623\theta^4\right)-2^{5} 3^{2} x^{2}\left(550\theta^4+2764\theta^3-3581\theta^2-2190\theta-459\right)-2^{8} 3^{4} x^{3}\left(2164\theta^4-17928\theta^3-13315\theta^2-3645\theta-126\right)+2^{14} 3^{8} x^{4}(2\theta+1)(148\theta^3+114\theta^2-35\theta-41)-2^{20} 3^{12} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 60, 5508, 362400, -34621020, ... --> OEIS Normalized instanton numbers (n0=1): 325, -24254, 9106834/3, -514805406, 102077718255, ... ; Common denominator:...
\(-(81z-1)(82944z^2-448z+1)(1+576z)^2\)
| \(-\frac{ 1}{ 576}\) | \(0\) | \(\frac{ 7}{ 2592}-\frac{ 1}{ 648}\sqrt{ 2}I\) | \(\frac{ 7}{ 2592}+\frac{ 1}{ 648}\sqrt{ 2}I\) | \(\frac{ 1}{ 81}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
147
New Number: 5.132 | AESZ: | Superseeker: 388 3446444 | Hash: 55a5cb23b8c035363ff67bcc0d5fd556
Degree: 5
\(\theta^4+2^{2} x\left(92\theta^4-680\theta^3-481\theta^2-141\theta-18\right)-2^{8} 3^{2} x^{2}\left(192\theta^4+456\theta^3-514\theta^2-323\theta-67\right)-2^{14} 3^{4} x^{3}\left(88\theta^4-312\theta^3-248\theta^2-75\theta-5\right)+2^{20} 3^{7} x^{4}(2\theta+1)(8\theta^3+8\theta^2+\theta-1)-2^{26} 3^{8} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 72, 12456, 3202560, 1030375080, ... --> OEIS Normalized instanton numbers (n0=1): 388, -23196, 3446444, -571523888, 119779121440, ... ; Common denominator:...
\(-(144z-1)(576z-1)(64z-1)(1+576z)^2\)
| \(-\frac{ 1}{ 576}\) | \(0\) | \(\frac{ 1}{ 576}\) | \(\frac{ 1}{ 144}\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
148
New Number: 5.133 | AESZ: | Superseeker: 192 1016256 | Hash: 0f3cb34d2bc462fbc58cdf15040595d1
Degree: 5
\(\theta^4+2^{4} x\left(24\theta^4-96\theta^3-70\theta^2-22\theta-3\right)-2^{10} x^{2}\left(124\theta^4+496\theta^3-271\theta^2-202\theta-45\right)-2^{17} 3^{2} x^{3}\left(32\theta^4-56\theta^3-66\theta^2-31\theta-5\right)+2^{24} 3^{3} x^{4}(\theta+1)(2\theta+1)(6\theta^2+11\theta+6)+2^{32} 3^{3} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 48, 5136, 710400, 112104720, ... --> OEIS Normalized instanton numbers (n0=1): 192, -9940, 1016256, -134713756, 20854352960, ... ; Common denominator:...
\((256z-1)(64z+1)(192z-1)(1+384z)^2\)
| \(-\frac{ 1}{ 64}\) | \(-\frac{ 1}{ 384}\) | \(0\) | \(\frac{ 1}{ 256}\) | \(\frac{ 1}{ 192}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
149
New Number: 5.134 | AESZ: | Superseeker: 176 1215248/3 | Hash: 5bd656df18dc5d02b2f2a068ba88ab74
Degree: 5
\(\theta^4+2^{2} x\left(4\theta^4-352\theta^3-250\theta^2-74\theta-9\right)-2^{4} 3 x^{2}\left(3168\theta^4+5952\theta^3-3712\theta^2-2648\theta-519\right)-2^{8} 3^{3} x^{3}\left(2912\theta^4-3008\theta^3-3152\theta^2-1160\theta-145\right)+2^{12} 3^{3} 5 x^{4}(2\theta+1)(824\theta^3+1668\theta^2+1342\theta+405)+2^{16} 3^{4} 5^{2} x^{5}(2\theta+1)(6\theta+5)(6\theta+7)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 36, 4572, 918000, 228519900, ... --> OEIS Normalized instanton numbers (n0=1): 176, -3238, 1215248/3, -18807038, 3651829680, ... ; Common denominator:...
\((48z-1)(432z-1)(16z+1)(1+240z)^2\)
| \(-\frac{ 1}{ 16}\) | \(-\frac{ 1}{ 240}\) | \(0\) | \(\frac{ 1}{ 432}\) | \(\frac{ 1}{ 48}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 7}{ 6}\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
150
New Number: 5.13 | AESZ: 83 | Superseeker: -80 -174096 | Hash: 171e1251d8e4f7de878d0d07de6f58ab
Degree: 5
\(\theta^4-2^{4} x\left(88\theta^4+32\theta^3+33\theta^2+17\theta+3\right)+2^{9} x^{2}\left(1504\theta^4+1408\theta^3+1436\theta^2+596\theta+93\right)-2^{18} x^{3}\left(776\theta^4+1344\theta^3+1381\theta^2+651\theta+117\right)+2^{23} 3 x^{4}(2\theta+1)(512\theta^3+1152\theta^2+1054\theta+339)-2^{31} 3^{2} x^{5}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 48, 5328, 779520, 131619600, ... --> OEIS Normalized instanton numbers (n0=1): -80, -2954, -174096, -13270953, -1179175536, ... ; Common denominator:...
\(-(128z-1)(384z-1)^2(256z-1)^2\)
| \(0\) | \(\frac{ 1}{ 384}\) | \(\frac{ 1}{ 256}\) | \(\frac{ 1}{ 128}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 5}{ 4}\) |
| \(0\) | \(4\) | \(1\) | \(2\) | \(\frac{ 3}{ 2}\) |