31
New Number: 4.22 | AESZ: | Superseeker: -1488 -517984144 | Hash: 7d70f749f0fd6381c088f4c1fac4d6df
Degree: 4
\(\theta^4-2^{4} 3 x\left(432\theta^4+864\theta^3+1023\theta^2+591\theta+131\right)+2^{9} 3^{2} x^{2}\left(24624\theta^4+98496\theta^3+151722\theta^2+106452\theta+29023\right)-2^{14} 3^{10} x^{3}(16\theta^2+48\theta+47)(2\theta+3)^2+2^{22} 3^{10} x^{4}(2\theta+3)(2\theta+5)(3\theta+5)(3\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6288, 49006800, 416705452800, 3698851729136400, ... --> OEIS Normalized instanton numbers (n0=1): -1488, -704730, -517984144, -469396561641, -493072108113648, ... ; Common denominator:...
\((2985984z^2-10368z+1)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 1}{ 576}-\frac{ 1}{ 864}\sqrt{ 2}\) | \(\frac{ 1}{ 576}+\frac{ 1}{ 864}\sqrt{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 5}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 7}{ 3}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
32
New Number: 4.23 | AESZ: | Superseeker: -1116 -349462868 | Hash: 4cde44ecce8658b2c2ca6b3c279f4e62
Degree: 4
\(\theta^4-2^{2} 3^{2} x\left(432\theta^4+864\theta^3+1023\theta^2+591\theta+131\right)+2^{4} 3^{5} 5 x^{2}\left(2592\theta^4+10368\theta^3+13788\theta^2+6840\theta+689\right)+2^{8} 3^{14} x^{3}(16\theta^2+48\theta+47)(2\theta+3)^2+2^{14} 3^{16} x^{4}(2\theta+3)(2\theta+5)(3\theta+5)(3\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 4716, 31430916, 223425214992, 1654537886846532, ... --> OEIS Normalized instanton numbers (n0=1): -1116, -586989, -349462868, -300569202144, -280354383814176, ... ; Common denominator:...
\((5038848z^2+7776z-1)^2\)
| \(-\frac{ 1}{ 1296}-\frac{ 1}{ 1944}\sqrt{ 3}\) | \(0\) | \(s_1\) | \(s_2\) | \(-\frac{ 1}{ 1296}+\frac{ 1}{ 1944}\sqrt{ 3}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 5}{ 3}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 7}{ 3}\) |
| \(\frac{ 3}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
33
New Number: 4.24 | AESZ: | Superseeker: -612 51318900 | Hash: dc90e303db3462d0c0bd472762000ad5
Degree: 4
\(\theta^4-2^{2} 3 x\left(1584\theta^4+3168\theta^3+3799\theta^2+2215\theta+501\right)+2^{4} 3^{2} x^{2}\left(951264\theta^4+3805056\theta^3+6812388\theta^2+6014664\theta+2151443\right)-2^{8} 3^{8} 5^{3} x^{3}(528\theta^2+1584\theta+1567)(2\theta+3)^2+2^{14} 3^{10} 5^{6} x^{4}(2\theta+3)(2\theta+5)(3\theta+5)(3\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6012, 31439916, 155468925360, 741919701370860, ... --> OEIS Normalized instanton numbers (n0=1): -612, -87372, 51318900, 24336059400, 14111081636400, ... ; Common denominator:...
\((23328000z^2-9504z+1)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 11}{ 54000}-\frac{ 1}{ 27000}I\) | \(\frac{ 11}{ 54000}+\frac{ 1}{ 27000}I\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 5}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 7}{ 3}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
34
New Number: 4.25 | AESZ: 32 | Superseeker: -33 -13051 | Hash: bf53401dcbe0436fb67761f590ee3295
Degree: 4
\(\theta^4-x\left(540\theta^4+1080\theta^3+1296\theta^2+756\theta+339/2\right)+x^{2}\left(72846\theta^4+291384\theta^3+881067/2\theta^2+298299\theta+305217/4\right)+x^{3}\left(14580\theta^4+87480\theta^3+209547\theta^2+234981\theta+205497/2\right)+x^{4}9/16(6\theta+11)^2(6\theta+13)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 339/2, 287415/8, 131845323/16, 251852894379/128, ... --> OEIS Normalized instanton numbers (n0=1): -33, -1995/4, -13051, -435975, -16838124, ... ; Common denominator:...
\((-1+270z+27z^2)^2\)
| \(-5-\frac{ 26}{ 9}\sqrt{ 3}\) | \(0\) | \(s_1\) | \(s_2\) | \(-5+\frac{ 26}{ 9}\sqrt{ 3}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(\frac{ 11}{ 6}\) |
| \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 11}{ 6}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 13}{ 6}\) |
| \(\frac{ 3}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 13}{ 6}\) |
35
New Number: 4.26 | AESZ: 60 | Superseeker: -10 -870 | Hash: 033b6632bf7cbbfe2a70e1f1eee4bf04
Degree: 4
\(\theta^4-x\left(248\theta^4+496\theta^3+604\theta^2+356\theta+81\right)+x^{2}\left(18832\theta^4+75328\theta^3+126798\theta^2+102940\theta+33889\right)-2^{3} 3 x^{3}\left(17856\theta^4+107136\theta^3+256985\theta^2+288843\theta+126617\right)+3^{2} x^{4}(24\theta+41)(24\theta+47)(24\theta+49)(24\theta+55)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 81, 13837/2, 1263327/2, 480917043/8, ... --> OEIS Normalized instanton numbers (n0=1): -10, -65, -870, -13905, -248910, ... ; Common denominator:...
\((108z-1)^2(16z-1)^2\)
| \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 41}{ 24}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 47}{ 24}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 49}{ 24}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 55}{ 24}\) |
36
New Number: 4.27 | AESZ: 189 | Superseeker: -30 -11360 | Hash: 2ce243b7535bf4eefb88252a3c164466
Degree: 4
\(\theta^4-2 x\left(260\theta^4+520\theta^3+625\theta^2+365\theta+82\right)+2^{2} x^{2}\left(17412\theta^4+69648\theta^3+107199\theta^2+75102\theta+20320\right)-2^{4} x^{3}\left(33280\theta^4+199680\theta^3+476760\theta^2+531720\theta+230741\right)+2^{8} x^{4}(8\theta+13)(8\theta+15)(8\theta+17)(8\theta+19)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 164, 32886, 7144704, 1616497596, ... --> OEIS Normalized instanton numbers (n0=1): -30, -885/2, -11360, -365910, -13641180, ... ; Common denominator:...
\((256z-1)^2(4z-1)^2\)
| \(0\) | \(\frac{ 1}{ 256}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 13}{ 8}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 15}{ 8}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 17}{ 8}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 19}{ 8}\) |
37
New Number: 4.2 | AESZ: ~44 | Superseeker: -76 -92996 | Hash: 79f5f70bb79e740c1cd7e835ff99a64c
Degree: 4
\(\theta^4-2^{2} x\left(272\theta^4+544\theta^3+649\theta^2+377\theta+84\right)+2^{6} 3 x^{2}\left(1544\theta^4+6176\theta^3+9307\theta^2+6262\theta+1588\right)-2^{8} x^{3}(272\theta^2+816\theta+819)(2\theta+3)^2+2^{14} x^{4}(\theta+2)^2(2\theta+3)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 336, 142728, 65762368, 31568339880, ... --> OEIS Normalized instanton numbers (n0=1): -76, -2002, -92996, -5555506, -384650592, ... ; Common denominator:...
\((1-544z+256z^2)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 17}{ 16}-\frac{ 3}{ 4}\sqrt{ 2}\) | \(\frac{ 17}{ 16}+\frac{ 3}{ 4}\sqrt{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(2\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
38
New Number: 4.30 | AESZ: 281 | Superseeker: 5 -420 | Hash: d24d5f19c8a8bf23ea9abd62ea9242b2
Degree: 4
\(\theta^4+x\left(164\theta^4+328\theta^3+402\theta^2+238\theta+109/2\right)+x^{2}\left(12974\theta^4+51896\theta^3+200863/2\theta^2+97071\theta+151081/4\right)+5 x^{3}\left(102500\theta^4+615000\theta^3+1476125\theta^2+1660875\theta+728918\right)+x^{4}15625/16(10\theta+17)(10\theta+19)(10\theta+21)(10\theta+23)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -109/2, 13447/8, 58747/16, -556301557/128, ... --> OEIS Normalized instanton numbers (n0=1): 5, 95/4, -420, 2555, 19930, ... ; Common denominator:...
\((1+82z+3125z^2)^2\)
| \(-\frac{ 41}{ 3125}-\frac{ 38}{ 3125}I\) | \(-\frac{ 41}{ 3125}+\frac{ 38}{ 3125}I\) | \(0\) | \(s_1\) | \(s_2\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 17}{ 10}\) |
| \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(0\) | \(\frac{ 19}{ 10}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 21}{ 10}\) |
| \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 23}{ 10}\) |
39
New Number: 4.31 | AESZ: | Superseeker: -10 -340 | Hash: dc534a2a8e7bca49a87c29d9ed4e3ae8
Degree: 4
\(\theta^4-2 x\left(172\theta^4+344\theta^3+421\theta^2+249\theta+57\right)+2^{2} x^{2}\left(10852\theta^4+43408\theta^3+78043\theta^2+69270\theta+24987\right)-2^{4} 3 x^{3}\left(49536\theta^4+297216\theta^3+712240\theta^2+799248\theta+349521\right)+2^{14} 3^{2} x^{4}(3\theta+5)(3\theta+7)(6\theta+11)(6\theta+13)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 114, 11466, 1123804, 109952106, ... --> OEIS Normalized instanton numbers (n0=1): -10, -40, -340, -5820, -114610, ... ; Common denominator:...
\((108z-1)^2(64z-1)^2\)
| \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 3}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 11}{ 6}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 13}{ 6}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 7}{ 3}\) |
40
New Number: 4.32 | AESZ: 356 | Superseeker: -14 -196 | Hash: e73c971c3ed3a4fd581234510642c285
Degree: 4
\(\theta^4-2 x\left(236\theta^4+472\theta^3+577\theta^2+341\theta+78\right)+2^{2} x^{2}\left(20836\theta^4+83344\theta^3+150531\theta^2+134374\theta+48664\right)-2^{6} 3 x^{3}\left(33984\theta^4+203904\theta^3+487828\theta^2+545916\theta+237757\right)+2^{10} 3^{2} x^{4}(12\theta+19)(12\theta+23)(12\theta+25)(12\theta+29)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 156, 21062, 2714208, 342489420, ... --> OEIS Normalized instanton numbers (n0=1): -14, -42, -196, -1218, -208446/5, ... ; Common denominator:...
\((128z-1)^2(108z-1)^2\)
| \(0\) | \(\frac{ 1}{ 128}\) | \(\frac{ 1}{ 108}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 19}{ 12}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 23}{ 12}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 25}{ 12}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 29}{ 12}\) |
41
New Number: 4.3 | AESZ: | Superseeker: -20 5924 | Hash: 4163e7dfeb4b46f62bda072d071020fc
Degree: 4
\(\theta^4-2^{2} x\left(112\theta^4+224\theta^3+271\theta^2+159\theta+36\right)+2^{6} x^{2}\left(1432\theta^4+5728\theta^3+10849\theta^2+10242\theta+3888\right)-2^{8} 3^{4} x^{3}(112\theta^2+336\theta+341)(2\theta+3)^2+2^{14} 3^{8} x^{4}(\theta+2)^2(2\theta+3)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 144, 13320, 432320, -127603800, ... --> OEIS Normalized instanton numbers (n0=1): -20, 199, 5924, 82010, -1170848, ... ; Common denominator:...
\((1-224z+20736z^2)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 7}{ 1296}-\frac{ 1}{ 324}\sqrt{ 2}I\) | \(\frac{ 7}{ 1296}+\frac{ 1}{ 324}\sqrt{ 2}I\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(2\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
42
New Number: 4.4 | AESZ: | Superseeker: -48 -32368 | Hash: a0903e578f379289d79849a566639775
Degree: 4
\(\theta^4-2^{4} x\left(48\theta^4+96\theta^3+115\theta^2+67\theta+15\right)+2^{9} x^{2}\left(304\theta^4+1216\theta^3+1890\theta^2+1348\theta+375\right)-2^{14} x^{3}(48\theta^2+144\theta+145)(2\theta+3)^2+2^{22} x^{4}(\theta+2)^2(2\theta+3)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 240, 69840, 22068480, 7268490000, ... --> OEIS Normalized instanton numbers (n0=1): -48, -910, -32368, -1409193, -71439120, ... ; Common denominator:...
\((1-384z+4096z^2)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 3}{ 64}-\frac{ 1}{ 32}\sqrt{ 2}\) | \(\frac{ 3}{ 64}+\frac{ 1}{ 32}\sqrt{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(2\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
43
New Number: 4.5 | AESZ: | Superseeker: -36 -62596/3 | Hash: f5b4785eb6dd46eea771050179115d33
Degree: 4
\(\theta^4-2^{2} 3 x\left(48\theta^4+96\theta^3+115\theta^2+67\theta+15\right)+2^{4} 3^{2} x^{2}\left(480\theta^4+1920\theta^3+2580\theta^2+1320\theta+151\right)+2^{8} 3^{4} x^{3}(48\theta^2+144\theta+145)(2\theta+3)^2+2^{14} 3^{6} x^{4}(\theta+2)^2(2\theta+3)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 180, 44676, 11798640, 3241596996, ... --> OEIS Normalized instanton numbers (n0=1): -36, -756, -62596/3, -839088, -37432800, ... ; Common denominator:...
\((-1+288z+6912z^2)^2\)
| \(-\frac{ 1}{ 48}-\frac{ 1}{ 72}\sqrt{ 3}\) | \(0\) | \(s_1\) | \(s_2\) | \(-\frac{ 1}{ 48}+\frac{ 1}{ 72}\sqrt{ 3}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(2\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(\frac{ 3}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
44
New Number: 4.6 | AESZ: | Superseeker: -28 1036 | Hash: e42780ff25b428328423d5eea814a37a
Degree: 4
\(\theta^4-2^{2} x\left(176\theta^4+352\theta^3+427\theta^2+251\theta+57\right)+2^{4} x^{2}\left(11744\theta^4+46976\theta^3+84756\theta^2+75560\theta+27275\right)-2^{8} 5^{3} x^{3}(176\theta^2+528\theta+537)(2\theta+3)^2+2^{14} 5^{6} x^{4}(\theta+2)^2(2\theta+3)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 228, 44716, 8258768, 1469227500, ... --> OEIS Normalized instanton numbers (n0=1): -28, -21, 1036, 53976, 1260496, ... ; Common denominator:...
\((1-352z+32000z^2)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 11}{ 2000}-\frac{ 1}{ 1000}I\) | \(\frac{ 11}{ 2000}+\frac{ 1}{ 1000}I\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(2\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
45
New Number: 4.7 | AESZ: | Superseeker: -54 -40552 | Hash: ee8508b4e5567367ca11f74e074e8099
Degree: 4
\(\theta^4-2 3 x\left(180\theta^4+360\theta^3+433\theta^2+253\theta+57\right)+2^{2} 3^{4} 11 x^{2}\left(108\theta^4+432\theta^3+741\theta^2+618\theta+209\right)-2^{5} 3^{8} x^{3}(60\theta^2+180\theta+181)(2\theta+3)^2+2^{8} 3^{10} x^{4}(2\theta+3)(2\theta+5)(6\theta+11)(6\theta+13)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 342, 117990, 42901884, 16240501782, ... --> OEIS Normalized instanton numbers (n0=1): -54, -864, -40552, -2192400, -123334380, ... ; Common denominator:...
\((432z-1)^2(108z-1)^2\)
| \(0\) | \(\frac{ 1}{ 432}\) | \(\frac{ 1}{ 108}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 11}{ 6}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 13}{ 6}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
46
New Number: 4.8 | AESZ: | Superseeker: -135 -417685 | Hash: f5702d0b3fd53e9b80a42c76a335b648
Degree: 4
\(\theta^4-x\left(1836\theta^4+3672\theta^3+4368\theta^2+2532\theta+1125/2\right)+x^{2}\left(844182\theta^4+3376728\theta^3+10153755/2\theta^2+3400299\theta+3426705/4\right)-x^{3}6561/2(2\theta+3)^2(102\theta^2+306\theta+305)+x^{4}59049/16(2\theta+3)(2\theta+5)(6\theta+11)(6\theta+13)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1125/2, 3219615/8, 5002535925/16, 32404173968475/128, ... --> OEIS Normalized instanton numbers (n0=1): -135, -22815/4, -417685, -78983235/2, -4331084310, ... ; Common denominator:...
\((1-918z+729z^2)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 17}{ 27}-\frac{ 4}{ 9}\sqrt{ 2}\) | \(\frac{ 17}{ 27}+\frac{ 4}{ 9}\sqrt{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 11}{ 6}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 13}{ 6}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
47
New Number: 4.9 | AESZ: | Superseeker: -33 29693 | Hash: c444fb1a912bd488ee5947b8bc1e2c53
Degree: 4
\(\theta^4-x\left(756\theta^4+1512\theta^3+1824\theta^2+1068\theta+483/2\right)+x^{2}\left(260982\theta^4+1043928\theta^3+3947211/2\theta^2+1859355\theta+2817729/4\right)-x^{3}531441/2(2\theta+3)^2(42\theta^2+126\theta+127)+x^{4}387420489/16(2\theta+3)(2\theta+5)(6\theta+11)(6\theta+13)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 483/2, 300015/8, 32162403/16, -132658029189/128, ... --> OEIS Normalized instanton numbers (n0=1): -33, 1095/2, 29693, 1241103/2, -16117818, ... ; Common denominator:...
\((1-378z+59049z^2)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 7}{ 2187}-\frac{ 4}{ 2187}\sqrt{ 2}I\) | \(\frac{ 7}{ 2187}+\frac{ 4}{ 2187}\sqrt{ 2}I\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 11}{ 6}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 13}{ 6}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
48
New Number: 5.60 | AESZ: 268 | Superseeker: -828/5 -4270932/5 | Hash: 638e2881183378c7a47b7508d9acc072
Degree: 5
\(5^{2} \theta^4-2^{2} 3 5 x\left(108\theta^4+432\theta^3+661\theta^2+445\theta+105\right)-2^{4} 3^{2} x^{2}\left(44064\theta^4+145152\theta^3+239004\theta^2+186300\theta+58045\right)+2^{9} 3^{5} x^{3}\left(9072\theta^4+77760\theta^3+180954\theta^2+164970\theta+53965\right)+2^{12} 3^{8} x^{4}\left(11664\theta^4+62208\theta^3+104940\theta^2+73836\theta+18659\right)+2^{20} 3^{15} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 252, 87084, 31502448, 12121584876, ... --> OEIS Normalized instanton numbers (n0=1): -828/5, 25533/5, -4270932/5, 598304142/5, -24767201520, ... ; Common denominator:...
\((1+432z)(432z+5)^2(432z-1)^2\)
| \(-\frac{ 5}{ 432}\) | \(-\frac{ 1}{ 432}\) | \(0\) | \(\frac{ 1}{ 432}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(1\) |
| \(3\) | \(1\) | \(0\) | \(1\) | \(1\) |
| \(4\) | \(2\) | \(0\) | \(\frac{ 3}{ 2}\) | \(1\) |
49
New Number: 5.61 | AESZ: 269 | Superseeker: 549216 5134247872650720 | Hash: f6285c6dd849b8edc6913a248c74c2ac
Degree: 5
\(\theta^4+2^{4} 3^{2} x\left(11664\theta^4-15552\theta^3-11700\theta^2-3924\theta-781\right)+2^{13} 3^{8} x^{2}\left(9072\theta^4-41472\theta^3+2106\theta^2-54\theta+1261\right)-2^{20} 3^{14} x^{3}\left(44064\theta^4+31104\theta^3+67932\theta^2+32508\theta+9661\right)-2^{30} 3^{22} 5 x^{4}\left(108\theta^4+13\theta^2+13\theta-3\right)+2^{40} 3^{30} 5^{2} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 112464, 16304096016, 2572332025515264, 423329707157060783376, ... --> OEIS Normalized instanton numbers (n0=1): 549216, -39437661960, 5134247872650720, -893529522332436373560, 182442495912657901797814560, ... ; Common denominator:...
\((1+186624z)(933120z+1)^2(186624z-1)^2\)
| \(-\frac{ 1}{ 186624}\) | \(-\frac{ 1}{ 933120}\) | \(0\) | \(\frac{ 1}{ 186624}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) |
| \(2\) | \(4\) | \(0\) | \(\frac{ 3}{ 2}\) | \(1\) |
50
New Number: 6.1 | AESZ: | Superseeker: -2 -70/3 | Hash: 28ce9053a8969d292554c4f160bc469e
Degree: 6
\(\theta^4-x\left(112\theta^4+224\theta^3+280\theta^2+168\theta+39\right)+3 x^{2}\left(1568\theta^4+6272\theta^3+11538\theta^2+10532\theta+3923\right)-2^{3} x^{3}\left(11552\theta^4+69312\theta^3+172218\theta^2+204750\theta+96687\right)+x^{4}\left(872704\theta^4+6981632\theta^3+21940576\theta^2+31909248\theta+18039321\right)-2^{7} 3^{2} x^{5}(784\theta^2+3920\theta+5547)(2\theta+5)^2+2^{14} 3^{4} x^{6}(2\theta+5)(2\theta+7)(\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 39, 2541/2, 80689/2, 10329363/8, ... --> OEIS Normalized instanton numbers (n0=1): -2, -9/2, -70/3, -145, -1060, ... ; Common denominator:...
\((4z-1)^2(36z-1)^2(16z-1)^2\)
| \(0\) | \(\frac{ 1}{ 36}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 2}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(3\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(3\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 7}{ 2}\) |
51
New Number: 6.2 | AESZ: | Superseeker: -8 -1552/3 | Hash: fd7b14f2d0f2a78723588771a9b1a984
Degree: 6
\(\theta^4-x\left(280\theta^4+560\theta^3+686\theta^2+406\theta+93\right)+3 x^{2}\left(9296\theta^4+37184\theta^3+66322\theta^2+58276\theta+20863\right)-2 x^{3}\left(594560\theta^4+3567360\theta^3+8664912\theta^2+9941616\theta+4484205\right)+x^{4}\left(21204736\theta^4+169637888\theta^3+520783424\theta^2+726030592\theta+387696585\right)-2^{3} 3^{2} 5^{2} x^{5}(4\theta+9)(4\theta+11)(4144\theta^2+20720\theta+28335)+2^{4} 3^{4} 5^{4} x^{6}(4\theta+9)(4\theta+11)(4\theta+13)(4\theta+15)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 93, 15717/2, 1345795/2, 473123715/8, ... --> OEIS Normalized instanton numbers (n0=1): -8, -44, -1552/3, -8044, -138528, ... ; Common denominator:...
\((100z-1)^2(4z-1)^2(36z-1)^2\)
| \(0\) | \(\frac{ 1}{ 100}\) | \(\frac{ 1}{ 36}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 9}{ 4}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 11}{ 4}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 13}{ 4}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 15}{ 4}\) |
52
New Number: 6.35 | AESZ: | Superseeker: | Hash: de26083962cade55a4938b4011d0008e
Degree: 6
\(\theta^4-3 x\left(63\theta^4+234\theta^3+247\theta^2+130\theta+28\right)+2 3^{4} x^{2}\left(9\theta^4+522\theta^3+1207\theta^2+1058\theta+356\right)+2^{2} 3^{7} x^{3}\left(135\theta^4+270\theta^3-730\theta^2-1395\theta-696\right)-2^{3} 3^{10} x^{4}\left(63\theta^4+774\theta^3+1372\theta^2+817\theta+88\right)-2^{4} 3^{13} x^{5}\left(72\theta^4+72\theta^3-325\theta^2-629\theta-308\right)+2^{5} 3^{16} x^{6}(3\theta+5)(3\theta+4)(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 84, 7452, 692688, 66448116, ... --> OEIS Normalized instanton numbers (n0=1): 21, -1617/4, 7941, -986355/4, 8179455, ... ; Common denominator:...
\((54z-1)(27z-1)(54z+1)^2(108z-1)^2\)
| \(-\frac{ 1}{ 54}\) | \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 54}\) | \(\frac{ 1}{ 27}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 4}{ 3}\) |
| \(1\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(4\) | \(0\) | \(\frac{ 3}{ 2}\) | \(2\) | \(2\) | \(\frac{ 5}{ 3}\) |
53
New Number: 6.36 | AESZ: | Superseeker: 10/7 508/7 | Hash: b890cacbc73012eb6554263c3ea04707
Degree: 6
\(7^{2} \theta^4-2 7 x\left(60\theta^4+24\theta^3-9\theta^2-21\theta-7\right)-2^{2} x^{2}\left(6492\theta^4+30192\theta^3+46665\theta^2+30786\theta+7777\right)+2^{4} x^{3}\left(3632\theta^4-27552\theta^3-133920\theta^2-173880\theta-76083\right)+2^{9} x^{4}\left(1776\theta^4+10272\theta^3+15264\theta^2+7608\theta+121\right)-2^{14} x^{5}\left(48\theta^4-480\theta^3-2016\theta^2-2568\theta-1091\right)-2^{19} x^{6}\left((2\theta+3)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -2, 38, 204, 7462, ... --> OEIS Normalized instanton numbers (n0=1): 10/7, 100/7, 508/7, 808, 59910/7, ... ; Common denominator:...
\(-(16z+1)(32z-1)(4z+1)^2(32z-7)^2\)
| \(-\frac{ 1}{ 4}\) | \(-\frac{ 1}{ 16}\) | \(0\) | \(\frac{ 1}{ 32}\) | \(\frac{ 7}{ 32}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(-\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(\frac{ 3}{ 2}\) |
| \(\frac{ 3}{ 2}\) | \(2\) | \(0\) | \(2\) | \(4\) | \(\frac{ 3}{ 2}\) |
54
New Number: 6.37 | AESZ: | Superseeker: 80 249872 | Hash: 0c2998041752cbd976fcc2e18f2072ad
Degree: 6
\(\theta^4-2^{4} x\left(6\theta^4+96\theta^3+99\theta^2+51\theta+11\right)-2^{9} x^{2}\left(222\theta^4+48\theta^3-873\theta^2-897\theta-328\right)+2^{14} x^{3}\left(454\theta^4+6168\theta^3+4887\theta^2+891\theta-651\right)+2^{19} x^{4}\left(6492\theta^4+8760\theta^3-1557\theta^2-6945\theta-2438\right)-2^{28} 7 x^{5}\left(60\theta^4+336\theta^3+693\theta^2+642\theta+227\right)-2^{33} 7^{2} x^{6}\left((2\theta+3)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 176, 35792, 7805184, 1768710928, ... --> OEIS Normalized instanton numbers (n0=1): 80, -4222, 249872, -22251117, 2195810928, ... ; Common denominator:...
\(-(32z+1)(64z-1)(224z+1)^2(256z-1)^2\)
| \(-\frac{ 1}{ 32}\) | \(-\frac{ 1}{ 224}\) | \(0\) | \(\frac{ 1}{ 256}\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(2\) | \(4\) | \(0\) | \(\frac{ 3}{ 2}\) | \(2\) | \(\frac{ 3}{ 2}\) |
55
New Number: 6.38 | AESZ: | Superseeker: 2 952 | Hash: ab13475ec61ba4278f6e59d858b5c527
Degree: 6
\(\theta^4-2 x\left(84\theta^4+264\theta^3+299\theta^2+167\theta+37\right)+2^{2} x^{2}\left(260\theta^4+10640\theta^3+22443\theta^2+18950\theta+6071\right)+2^{7} x^{3}\left(4550\theta^4+16140\theta^3+7327\theta^2-8178\theta-6485\right)+2^{12} x^{4}\left(935\theta^4-8660\theta^3-28587\theta^2-29234\theta-10036\right)-2^{18} 3 x^{5}\left(414\theta^4+2385\theta^3+5123\theta^2+4909\theta+1773\right)-2^{22} 3^{2} x^{6}(3\theta+5)^2(3\theta+4)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 74, 6354, 585020, 55958290, ... --> OEIS Normalized instanton numbers (n0=1): 2, -172, 952, -45148, 17303644/25, ... ; Common denominator:...
\(-(-1+16z+256z^2)(32z+1)^2(108z-1)^2\)
| \(-\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 5}\) | \(-\frac{ 1}{ 32}\) | \(0\) | \(\frac{ 1}{ 108}\) | \(-\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 5}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 4}{ 3}\) |
| \(1\) | \(1\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 3}\) |
| \(2\) | \(4\) | \(0\) | \(\frac{ 3}{ 2}\) | \(2\) | \(\frac{ 5}{ 3}\) |
56
New Number: 7.20 | AESZ: | Superseeker: 10 3394/3 | Hash: 9d5791eaabb9d0e9cb4b5cd0b2158b12
Degree: 7
\(\theta^4-x\left(88\theta^3-4+71\theta^4+42\theta^2-2\theta\right)-x^{2}\left(10462\theta+13294\theta^2+875\theta^4+6848\theta^3+3132\right)+3^{2} x^{3}\left(373\theta^4-6360\theta^3-30716\theta^2-44868\theta-23180\right)+3^{4} x^{4}\left(1843\theta^4+8384\theta^3+3236\theta^2-14996\theta-15180\right)+3^{8} x^{5}\left(75\theta^4+1272\theta^3+3454\theta^2+3554\theta+1192\right)-3^{11} x^{6}\left(27\theta^4-414\theta^2-918\theta-584\right)-3^{16} x^{7}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -4, 147, 4496, 223111, ... --> OEIS Normalized instanton numbers (n0=1): 10, 77, 3394/3, 24029, 640402, ... ; Common denominator:...
\(-(-1+81z)(9z-1)^2(81z^2+14z+1)^2\)
| \(-\frac{ 7}{ 81}-\frac{ 4}{ 81}\sqrt{ 2}I\) | \(-\frac{ 7}{ 81}+\frac{ 4}{ 81}\sqrt{ 2}I\) | \(0\) | \(\frac{ 1}{ 81}\) | \(\frac{ 1}{ 9}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(2\) |
| \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) | \(2\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(2\) |
| \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(0\) | \(2\) | \(4\) | \(2\) |
57
New Number: 7.21 | AESZ: | Superseeker: 90 413926 | Hash: f2cdf32038c22a3da2f5752ad59eaa27
Degree: 7
\(\theta^4-3^{2} x\left(27\theta^4+216\theta^3+234\theta^2+126\theta+28\right)-3^{6} x^{2}\left(75\theta^4-672\theta^3-2378\theta^2-2602\theta-1076\right)+3^{9} x^{3}\left(1843\theta^4+6360\theta^3-2836\theta^2-13692\theta-9828\right)-3^{14} x^{4}\left(373\theta^4+9344\theta^3+16396\theta^2+10260\theta+540\right)-3^{19} x^{5}\left(875\theta^4+152\theta^3-6794\theta^2-11462\theta-5400\right)+3^{26} x^{6}\left(71\theta^4+480\theta^3+1218\theta^2+1386\theta+600\right)+3^{33} x^{7}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 252, 40419, 2460816, -1025424441, ... --> OEIS Normalized instanton numbers (n0=1): 90, -4365, 413926, -38862153, 4502063682, ... ; Common denominator:...
\((1+27z)(243z+1)^2(59049z^2-378z+1)^2\)
| \(-\frac{ 1}{ 27}\) | \(-\frac{ 1}{ 243}\) | \(0\) | \(\frac{ 7}{ 2187}-\frac{ 4}{ 2187}\sqrt{ 2}I\) | \(\frac{ 7}{ 2187}+\frac{ 4}{ 2187}\sqrt{ 2}I\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(2\) |
| \(1\) | \(1\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(2\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(2\) |
| \(2\) | \(4\) | \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(2\) |