You searched for: Spectrum0=0,0,0,0
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31
New Number: 2.38 | AESZ: 61 | Superseeker: -41184 -5124430612320 | Hash: 191cd9ad5f43862072f3be6811803748
Degree: 2
\(\theta^4-2^{4} 3^{2} x(6\theta+1)(6\theta+5)(72\theta^2+72\theta+31)+2^{12} 3^{8} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 22320, 2060205840, 248752033770240, 33839074380496104720, ... --> OEIS Normalized instanton numbers (n0=1): -41184, 251271360, -5124430612320, 160031225395327320, -6251395923736354968480, ... ; Common denominator:...
\((186624z-1)^2\)
\(0\) | \(\frac{ 1}{ 186624}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(\frac{ 1}{ 6}\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(\frac{ 5}{ 6}\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 11}{ 6}\) |
32
New Number: 2.39 | AESZ: ~80,~81 | Superseeker: -2450 -623291900 | Hash: a4500006693bca99ed7ce6d889944382
Degree: 2
\(\theta^4-2 5 x\left(2500\theta^4+5000\theta^3+5875\theta^2+3375\theta+738\right)+2^{2} 5^{6} x^{2}(5\theta+4)(5\theta+6)(10\theta+9)(10\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 7380, 71382150, 753157832000, 8295076883047500, ... --> OEIS Normalized instanton numbers (n0=1): -2450, -1825075/2, -623291900, -559511912750, -584671005670010, ... ; Common denominator:...
\((12500z-1)^2\)
\(0\) | \(\frac{ 1}{ 12500}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 4}{ 5}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 9}{ 10}\) |
\(0\) | \(1\) | \(\frac{ 11}{ 10}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 6}{ 5}\) |
33
New Number: 2.3 | AESZ: 68 | Superseeker: 52 220220 | Hash: 13a48045ff0a42a9fcfbdb710baf1997
Degree: 2
\(\theta^4-2^{2} x(4\theta+1)(4\theta+3)(7\theta^2+7\theta+2)-2^{7} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 4200, 1034880, 311711400, ... --> OEIS Normalized instanton numbers (n0=1): 52, 2814, 220220, 29135058, 4512922272, ... ; Common denominator:...
\(-(64z+1)(512z-1)\)
\(-\frac{ 1}{ 64}\) | \(0\) | \(\frac{ 1}{ 512}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 7}{ 4}\) |
34
New Number: 2.40 | AESZ: | Superseeker: -791200 -4288711075194400 | Hash: 43d26d7aa358d5634e12c133ddc42a01
Degree: 2
\(\theta^4-2^{4} 5 x\left(80000\theta^4+160000\theta^3+186000\theta^2+106000\theta+22811\right)+2^{16} 5^{6} x^{2}(10\theta+7)(10\theta+9)(10\theta+11)(10\theta+13)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1824880, 4485741488400, 12079072308276832000, 33999719248816985649610000, ... --> OEIS Normalized instanton numbers (n0=1): -791200, -41486886600, -4288711075194400, -585926703697412494000, -93381074165698184340671200, ... ; Common denominator:...
\((3200000z-1)^2\)
\(0\) | \(\frac{ 1}{ 3200000}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 7}{ 10}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 9}{ 10}\) |
\(0\) | \(1\) | \(\frac{ 11}{ 10}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 13}{ 10}\) |
35
New Number: 2.41 | AESZ: | Superseeker: -522 -9879192 | Hash: 73d9f98b2c49f1c35df531f020cf1721
Degree: 2
\(\theta^4-2 3^{2} x\left(324\theta^4+648\theta^3+765\theta^2+441\theta+97\right)+2^{2} 3^{10} x^{2}(\theta+1)^2(6\theta+5)(6\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1746, 3951990, 9740271348, 25043989159350, ... --> OEIS Normalized instanton numbers (n0=1): -522, -105291/2, -9879192, -2420127936, -689420749716, ... ; Common denominator:...
\((2916z-1)^2\)
\(0\) | \(\frac{ 1}{ 2916}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(1\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 7}{ 6}\) |
36
New Number: 2.42 | AESZ: ~98 | Superseeker: -288 -2339616 | Hash: acfee9d4b5fefd1a945cfa6b1bc61373
Degree: 2
\(\theta^4-2^{2} 3 x\left(288\theta^4+576\theta^3+682\theta^2+394\theta+87\right)+2^{4} 3^{2} x^{2}(12\theta+11)^2(12\theta+13)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1044, 1403100, 2051002800, 3126485684700, ... --> OEIS Normalized instanton numbers (n0=1): -288, -19260, -2339616, -369882612, -67925445408, ... ; Common denominator:...
\((1728z-1)^2\)
\(0\) | \(\frac{ 1}{ 1728}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 11}{ 12}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 11}{ 12}\) |
\(0\) | \(1\) | \(\frac{ 13}{ 12}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 13}{ 12}\) |
37
New Number: 2.43 | AESZ: ~77, ~78,~97 | Superseeker: -736 -26911072 | Hash: 3d2cd06eccf32145816b35cb63878900
Degree: 2
\(\theta^4-2^{4} x\left(512\theta^4+1024\theta^3+1208\theta^2+696\theta+153\right)+2^{12} x^{2}(8\theta+7)^2(8\theta+9)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2448, 7779600, 26927622400, 97242114301200, ... --> OEIS Normalized instanton numbers (n0=1): -736, -104512, -26911072, -9061573696, -3547993303456, ... ; Common denominator:...
\((4096z-1)^2\)
\(0\) | \(\frac{ 1}{ 4096}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 7}{ 8}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 7}{ 8}\) |
\(0\) | \(1\) | \(\frac{ 9}{ 8}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 9}{ 8}\) |
38
New Number: 2.44 | AESZ: | Superseeker: -57760 -3869123234080 | Hash: db68f352287fb91ca91e65eb38318ac4
Degree: 2
\(\theta^4-2^{4} x\left(32768\theta^4+65536\theta^3+76544\theta^2+43776\theta+9495\right)+2^{26} x^{2}(4\theta+3)(4\theta+5)(8\theta+7)(8\theta+9)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 151920, 30692221200, 6779721385465600, 1564471951791288368400, ... --> OEIS Normalized instanton numbers (n0=1): -57760, -354010600, -3869123234080, -56296618019665040, -953499788550226132960, ... ; Common denominator:...
\((262144z-1)^2\)
\(0\) | \(\frac{ 1}{ 262144}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 7}{ 8}\) |
\(0\) | \(1\) | \(\frac{ 9}{ 8}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 4}\) |
39
New Number: 2.45 | AESZ: ~82 | Superseeker: -10080 -24400330080 | Hash: 11afa89027677e0616228cad62a9f990
Degree: 2
\(\theta^4-2^{2} 3^{2} x\left(2592\theta^4+5184\theta^3+6066\theta^2+3474\theta+755\right)+2^{4} 3^{10} x^{2}(4\theta+3)(4\theta+5)(12\theta+11)(12\theta+13)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 27180, 978471900, 38487760088400, 1581137831289447900, ... --> OEIS Normalized instanton numbers (n0=1): -10080, -11338740, -24400330080, -69157402598340, -228492096441648480, ... ; Common denominator:...
\((46656z-1)^2\)
\(0\) | \(\frac{ 1}{ 46656}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 11}{ 12}\) |
\(0\) | \(1\) | \(\frac{ 13}{ 12}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 4}\) |
40
New Number: 2.46 | AESZ: | Superseeker: -2710944 -302270555492914464 | Hash: a06fc8c91c1e4c766fdb1e79370bef7a
Degree: 2
\(\theta^4-2^{4} 3^{2} x\left(165888\theta^4+331776\theta^3+386496\theta^2+220608\theta+47711\right)+2^{22} 3^{10} x^{2}(4\theta+3)(4\theta+5)(6\theta+5)(6\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6870384, 63135105483024, 634962415293388429056, 6673257595142837863377354000, ... --> OEIS Normalized instanton numbers (n0=1): -2710944, -717640301160, -302270555492914464, -171507700573958028578832, -113303073680022744870130144224, ... ; Common denominator:...
\((11943936z-1)^2\)
\(0\) | \(\frac{ 1}{ 11943936}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 4}\) |
41
New Number: 2.47 | AESZ: | Superseeker: -3488 -1142687008 | Hash: 413005461e43cfa75125577c2d4c2fde
Degree: 2
\(\theta^4-2^{4} x\left(2048\theta^4+4096\theta^3+4800\theta^2+2752\theta+599\right)+2^{24} x^{2}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 9584, 121274640, 1675847866112, 24182028281658640, ... --> OEIS Normalized instanton numbers (n0=1): -3488, -1406056, -1142687008, -1211614451216, -1500013956719584, ... ; Common denominator:...
\((16384z-1)^2\)
\(0\) | \(\frac{ 1}{ 16384}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(1\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 4}\) |
42
New Number: 2.48 | AESZ: ~94 | Superseeker: -1344 -109320512 | Hash: 892e497a83d12667b7f189a3d743fb7c
Degree: 2
\(\theta^4-2^{2} 3 x\left(1152\theta^4+2304\theta^3+2710\theta^2+1558\theta+341\right)+2^{4} 3^{2} x^{2}(24\theta+19)(24\theta+23)(24\theta+25)(24\theta+29)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 4092, 21900060, 127808119824, 778493560064220, ... --> OEIS Normalized instanton numbers (n0=1): -1344, -278040, -109320512, -56290146024, -33748229589312, ... ; Common denominator:...
\((6912z-1)^2\)
\(0\) | \(\frac{ 1}{ 6912}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 19}{ 24}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 23}{ 24}\) |
\(0\) | \(1\) | \(\frac{ 25}{ 24}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 29}{ 24}\) |
43
New Number: 2.49 | AESZ: | Superseeker: -26400 -230398034080 | Hash: ffdc338b55d1f4e1f989f4359b06df6c
Degree: 2
\(\theta^4-2^{4} 3 x\left(4608\theta^4+9216\theta^3+10744\theta^2+6136\theta+1325\right)+2^{12} 3^{2} x^{2}(24\theta+17)(24\theta+23)(24\theta+25)(24\theta+31)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 63600, 5412963600, 504140776339200, 49063316029156400400, ... --> OEIS Normalized instanton numbers (n0=1): -26400, -52511160, -230398034080, -1287524740195200, -8504689433002312800, ... ; Common denominator:...
\((110592z-1)^2\)
\(0\) | \(\frac{ 1}{ 110592}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 17}{ 24}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 23}{ 24}\) |
\(0\) | \(1\) | \(\frac{ 25}{ 24}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 31}{ 24}\) |
44
New Number: 2.4 | AESZ: 62 | Superseeker: 372 71562236 | Hash: 07a3fd7577f878056e765831c6820f3d
Degree: 2
\(\theta^4-2^{2} 3 x(6\theta+1)(6\theta+5)(7\theta^2+7\theta+2)-2^{7} 3^{2} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 120, 138600, 228708480, 463140798120, ... --> OEIS Normalized instanton numbers (n0=1): 372, 136182, 71562236, 63364481358, 65860679690400, ... ; Common denominator:...
\(-(432z+1)(3456z-1)\)
\(-\frac{ 1}{ 432}\) | \(0\) | \(\frac{ 1}{ 3456}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 11}{ 6}\) |
45
New Number: 2.50 | AESZ: | Superseeker: -201888 -40177844666400 | Hash: 5309f0b5a4362f22faafad07a0eb1bb8
Degree: 2
\(\theta^4-2^{4} 3^{2} x\left(10368\theta^4+20736\theta^3+24048\theta^2+13680\theta+2927\right)+2^{20} 3^{10} x^{2}(\theta+1)^2(3\theta+2)(3\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 421488, 241251334416, 151434902650832640, 99396938275247309913360, ... --> OEIS Normalized instanton numbers (n0=1): -201888, -1567499400, -40177844666400, -988883543512335600, -35724019937142805037280, ... ; Common denominator:...
\((746496z-1)^2\)
\(0\) | \(\frac{ 1}{ 746496}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(1\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 4}{ 3}\) |
46
New Number: 2.51 | AESZ: ~88,~89 | Superseeker: -5472 -6444589536 | Hash: 02d09c6c320ab036e45834cf0d3951e7
Degree: 2
\(\theta^4-2^{4} 3 x\left(1152\theta^4+2304\theta^3+2704\theta^2+1552\theta+339\right)+2^{16} 3^{2} x^{2}(6\theta+5)^2(6\theta+7)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16272, 347859216, 8115450239232, 197661638029770000, ... --> OEIS Normalized instanton numbers (n0=1): -5472, -4476528, -6444589536, -12228845295024, -27012506850929952, ... ; Common denominator:...
\((27648z-1)^2\)
\(0\) | \(\frac{ 1}{ 27648}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 7}{ 6}\) |
47
New Number: 2.52 | AESZ: 16 | Superseeker: 4 644/3 | Hash: 05af0662662bfbec63e3186c4f363313
Degree: 2
\(\theta^4-2^{2} x(2\theta+1)^2(5\theta^2+5\theta+2)+2^{8} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 168, 5120, 190120, ... --> OEIS Normalized instanton numbers (n0=1): 4, 20, 644/3, 3072, 52512, ... ; Common denominator:...
\((64z-1)(16z-1)\)
\(0\) | \(\frac{ 1}{ 64}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
48
New Number: 2.53 | AESZ: 29 | Superseeker: 14 10424/3 | Hash: 92e8a038051b3fb8e0cc6ad6a52b8bfb
Degree: 2
\(\theta^4-2 x(2\theta+1)^2(17\theta^2+17\theta+5)+2^{2} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 10, 438, 28900, 2310070, ... --> OEIS Normalized instanton numbers (n0=1): 14, 303/2, 10424/3, 113664, 4579068, ... ; Common denominator:...
\(1-136z+16z^2\)
\(0\) | \(\frac{ 17}{ 4}-3\sqrt{ 2}\) | \(\frac{ 17}{ 4}+3\sqrt{ 2}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
49
New Number: 2.54 | AESZ: 41 | Superseeker: 2 -104 | Hash: a9ddeed4299f59fb9ac9f6f248383b8f
Degree: 2
\(\theta^4-2 x(2\theta+1)^2(7\theta^2+7\theta+3)+2^{2} 3^{4} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 54, 60, -19530, ... --> OEIS Normalized instanton numbers (n0=1): 2, -7, -104, -588, 3300, ... ; Common denominator:...
\(1-56z+1296z^2\)
\(0\) | \(\frac{ 7}{ 324}-\frac{ 1}{ 81}\sqrt{ 2}I\) | \(\frac{ 7}{ 324}+\frac{ 1}{ 81}\sqrt{ 2}I\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
50
New Number: 2.55 | AESZ: 42 | Superseeker: 8 1000 | Hash: c389d3bc0e31801bc4b7b3e186702bc9
Degree: 2
\(\theta^4-2^{3} x(2\theta+1)^2(3\theta^2+3\theta+1)+2^{6} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 240, 10880, 597520, ... --> OEIS Normalized instanton numbers (n0=1): 8, 63, 1000, 44369/2, 606168, ... ; Common denominator:...
\(1-96z+256z^2\)
\(0\) | \(\frac{ 3}{ 16}-\frac{ 1}{ 8}\sqrt{ 2}\) | \(\frac{ 3}{ 16}+\frac{ 1}{ 8}\sqrt{ 2}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
51
New Number: 2.56 | AESZ: 185 | Superseeker: 6 608 | Hash: 80506439e4d4fdc41f5b16e246a69fbf
Degree: 2
\(\theta^4-2 3 x(2\theta+1)^2(3\theta^2+3\theta+1)-2^{2} 3^{3} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 162, 6180, 284130, ... --> OEIS Normalized instanton numbers (n0=1): 6, 93/2, 608, 11754, 275352, ... ; Common denominator:...
\(1-72z-432z^2\)
\(-\frac{ 1}{ 12}-\frac{ 1}{ 18}\sqrt{ 3}\) | \(0\) | \(-\frac{ 1}{ 12}+\frac{ 1}{ 18}\sqrt{ 3}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(1\) |
\(1\) | \(0\) | \(1\) | \(1\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
52
New Number: 2.57 | AESZ: 184 | Superseeker: 2 -8 | Hash: ee8bb517b329e58eeb4352dc3cdc3f81
Degree: 2
\(\theta^4-2 x(2\theta+1)^2(11\theta^2+11\theta+5)+2^{2} 5^{3} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 10, 210, 5500, 159250, ... --> OEIS Normalized instanton numbers (n0=1): 2, 4, -8, -194, -2820, ... ; Common denominator:...
\(1-88z+2000z^2\)
\(0\) | \(\frac{ 11}{ 500}-\frac{ 1}{ 250}I\) | \(\frac{ 11}{ 500}+\frac{ 1}{ 250}I\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
53
New Number: 2.58 | AESZ: 46 | Superseeker: -6 -104 | Hash: 2226ec115674e71c483ba2c0350e8adf
Degree: 2
\(\theta^4-2 3 x(2\theta+1)^2(9\theta^2+9\theta+5)+2^{2} 3^{6} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 30, 1782, 129900, 10463670, ... --> OEIS Normalized instanton numbers (n0=1): -6, -6, -104, 36, -4812, ... ; Common denominator:...
\((108z-1)^2\)
\(0\) | \(\frac{ 1}{ 108}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(\frac{ 1}{ 6}\) | \(1\) |
\(0\) | \(\frac{ 5}{ 6}\) | \(1\) |
\(0\) | \(1\) | \(\frac{ 3}{ 2}\) |
54
New Number: 2.59 | AESZ: 47 | Superseeker: -384 -164736 | Hash: 792da990d2d2e5263bb789ad37b00d44
Degree: 2
\(\theta^4-2^{4} 3 x(2\theta+1)^2(18\theta^2+18\theta+13)+2^{10} 3^{6} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 624, 685584, 883925760, 1229988226320, ... --> OEIS Normalized instanton numbers (n0=1): -384, -1356, -164736, 96211836, -3267254400, ... ; Common denominator:...
\((1728z-1)^2\)
\(0\) | \(\frac{ 1}{ 1728}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(-\frac{ 1}{ 6}\) | \(1\) |
\(0\) | \(1\) | \(1\) |
\(0\) | \(\frac{ 7}{ 6}\) | \(\frac{ 3}{ 2}\) |
55
New Number: 2.5 | AESZ: 25 | Superseeker: 20 8220 | Hash: 93279abcbeeade30c29508de7784e582
Degree: 2
\(\theta^4-2^{2} x(2\theta+1)^2(11\theta^2+11\theta+3)-2^{4} x^{2}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 684, 58800, 6129900, ... --> OEIS Normalized instanton numbers (n0=1): 20, 277, 8220, 352994, 18651536, ... ; Common denominator:...
\(1-176z-256z^2\)
\(-\frac{ 11}{ 32}-\frac{ 5}{ 32}\sqrt{ 5}\) | \(0\) | \(-\frac{ 11}{ 32}+\frac{ 5}{ 32}\sqrt{ 5}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 3}{ 2}\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
56
New Number: 2.60 | AESZ: 18 | Superseeker: 4 364 | Hash: bb479f8a4185bf4a943dba2d433e13e5
Degree: 2
\(\theta^4-2^{2} x(2\theta+1)^2(3\theta^2+3\theta+1)-2^{4} x^{2}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 4, 108, 3280, 126700, ... --> OEIS Normalized instanton numbers (n0=1): 4, 39, 364, 6800, 662416/5, ... ; Common denominator:...
\(-(16z+1)(64z-1)\)
\(-\frac{ 1}{ 16}\) | \(0\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
57
New Number: 2.61 | AESZ: 26 | Superseeker: 10 1724 | Hash: f3fc09474973b19b8bdb783e3322eb65
Degree: 2
\(\theta^4-2 x(2\theta+1)^2(13\theta^2+13\theta+4)-2^{2} 3 x^{2}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 288, 15200, 968800, ... --> OEIS Normalized instanton numbers (n0=1): 10, 191/2, 1724, 45680, 1478214, ... ; Common denominator:...
\(-(4z+1)(108z-1)\)
\(-\frac{ 1}{ 4}\) | \(0\) | \(\frac{ 1}{ 108}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 4}{ 3}\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
58
New Number: 2.62 | AESZ: 28 | Superseeker: 5 312 | Hash: 06dd455cafc5097e4f671d385984c1a2
Degree: 2
\(\theta^4-x\left(65\theta^4+130\theta^3+105\theta^2+40\theta+6\right)+2^{2} x^{2}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 126, 3948, 149310, ... --> OEIS Normalized instanton numbers (n0=1): 5, 28, 312, 4808, 91048, ... ; Common denominator:...
\((64z-1)(z-1)\)
\(0\) | \(\frac{ 1}{ 64}\) | \(1\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 5}{ 4}\) |
59
New Number: 2.63 | AESZ: 84 | Superseeker: -4 -44 | Hash: 908b978c0c447d3643c3018c40e7f5d1
Degree: 2
\(\theta^4-2^{2} x\left(32\theta^4+64\theta^3+63\theta^2+31\theta+6\right)+2^{8} x^{2}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 936, 43008, 2145960, ... --> OEIS Normalized instanton numbers (n0=1): -4, -11, -44, -156, -288, ... ; Common denominator:...
\((64z-1)^2\)
\(0\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(0\) | \(1\) |
\(0\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(\frac{ 5}{ 4}\) |
60
New Number: 2.64 | AESZ: 182 | Superseeker: 1 7 | Hash: 89ba4729efa82413b33fe6928ff8d2c9
Degree: 2
\(\theta^4-x\left(43\theta^4+86\theta^3+77\theta^2+34\theta+6\right)+2^{2} 3 x^{2}(\theta+1)^2(6\theta+5)(6\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 66, 924, 14850, ... --> OEIS Normalized instanton numbers (n0=1): 1, 7/4, 7, 40, 270, ... ; Common denominator:...
\((27z-1)(16z-1)\)
\(0\) | \(\frac{ 1}{ 27}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 7}{ 6}\) |