Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,10,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.75560921479\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 9.5 | ||
Character | \(\chi\) | \(=\) | 17.9 |
Dual form | 17.10.d.a.2.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −10.5264 | + | 10.5264i | −0.465204 | + | 0.465204i | −0.900357 | − | 0.435153i | \(-0.856694\pi\) |
0.435153 | + | 0.900357i | \(0.356694\pi\) | |||||||
\(3\) | −129.909 | − | 53.8103i | −0.925966 | − | 0.383548i | −0.131819 | − | 0.991274i | \(-0.542082\pi\) |
−0.794147 | + | 0.607726i | \(0.792082\pi\) | |||||||
\(4\) | 290.392i | 0.567171i | ||||||||
\(5\) | −588.452 | + | 1420.65i | −0.421062 | + | 1.01653i | 0.560973 | + | 0.827834i | \(0.310427\pi\) |
−0.982035 | + | 0.188699i | \(0.939573\pi\) | |||||||
\(6\) | 1933.90 | − | 801.047i | 0.609191 | − | 0.252335i | ||||
\(7\) | −818.389 | − | 1975.77i | −0.128831 | − | 0.311024i | 0.846282 | − | 0.532735i | \(-0.178836\pi\) |
−0.975112 | + | 0.221711i | \(0.928836\pi\) | |||||||
\(8\) | −8446.26 | − | 8446.26i | −0.729054 | − | 0.729054i | ||||
\(9\) | 62.9403 | + | 62.9403i | 0.00319770 | + | 0.00319770i | ||||
\(10\) | −8760.00 | − | 21148.5i | −0.277015 | − | 0.668774i | ||||
\(11\) | 77662.6 | − | 32168.9i | 1.59935 | − | 0.662474i | 0.608031 | − | 0.793914i | \(-0.291960\pi\) |
0.991324 | + | 0.131439i | \(0.0419598\pi\) | |||||||
\(12\) | 15626.1 | − | 37724.6i | 0.217537 | − | 0.525181i | ||||
\(13\) | 12765.7i | 0.123965i | 0.998077 | + | 0.0619826i | \(0.0197423\pi\) | ||||
−0.998077 | + | 0.0619826i | \(0.980258\pi\) | |||||||
\(14\) | 29412.3 | + | 12183.0i | 0.204622 | + | 0.0847572i | ||||
\(15\) | 152891. | − | 152891.i | 0.779778 | − | 0.779778i | ||||
\(16\) | 29136.1 | 0.111146 | ||||||||
\(17\) | −319104. | − | 129462.i | −0.926643 | − | 0.375944i | ||||
\(18\) | −1325.06 | −0.00297516 | ||||||||
\(19\) | 552253. | − | 552253.i | 0.972181 | − | 0.972181i | −0.0274427 | − | 0.999623i | \(-0.508736\pi\) |
0.999623 | + | 0.0274427i | \(0.00873638\pi\) | |||||||
\(20\) | −412545. | − | 170882.i | −0.576548 | − | 0.238814i | ||||
\(21\) | 300708.i | 0.337411i | ||||||||
\(22\) | −478883. | + | 1.15613e6i | −0.435840 | + | 1.05221i | ||||
\(23\) | −1.22417e6 | + | 507067.i | −0.912149 | + | 0.377825i | −0.788879 | − | 0.614548i | \(-0.789338\pi\) |
−0.123270 | + | 0.992373i | \(0.539338\pi\) | |||||||
\(24\) | 642754. | + | 1.55174e6i | 0.395452 | + | 0.954706i | ||||
\(25\) | −290899. | − | 290899.i | −0.148940 | − | 0.148940i | ||||
\(26\) | −134376. | − | 134376.i | −0.0576691 | − | 0.0576691i | ||||
\(27\) | 1.05436e6 | + | 2.54544e6i | 0.381813 | + | 0.921779i | ||||
\(28\) | 573746. | − | 237653.i | 0.176404 | − | 0.0730690i | ||||
\(29\) | 836814. | − | 2.02025e6i | 0.219704 | − | 0.530412i | −0.775145 | − | 0.631784i | \(-0.782323\pi\) |
0.994849 | + | 0.101372i | \(0.0323231\pi\) | |||||||
\(30\) | 3.21877e6i | 0.725511i | ||||||||
\(31\) | −2.69168e6 | − | 1.11493e6i | −0.523474 | − | 0.216830i | 0.105268 | − | 0.994444i | \(-0.466430\pi\) |
−0.628742 | + | 0.777614i | \(0.716430\pi\) | |||||||
\(32\) | 4.01779e6 | − | 4.01779e6i | 0.677348 | − | 0.677348i | ||||
\(33\) | −1.18201e7 | −1.73504 | ||||||||
\(34\) | 4.72177e6 | − | 1.99624e6i | 0.605968 | − | 0.256187i | ||||
\(35\) | 3.28845e6 | 0.370412 | ||||||||
\(36\) | −18277.3 | + | 18277.3i | −0.00181364 | + | 0.00181364i | ||||
\(37\) | 888857. | + | 368177.i | 0.0779694 | + | 0.0322960i | 0.421327 | − | 0.906909i | \(-0.361564\pi\) |
−0.343358 | + | 0.939205i | \(0.611564\pi\) | |||||||
\(38\) | 1.16264e7i | 0.904524i | ||||||||
\(39\) | 686926. | − | 1.65839e6i | 0.0475466 | − | 0.114788i | ||||
\(40\) | 1.69694e7 | − | 7.02895e6i | 1.04808 | − | 0.434131i | ||||
\(41\) | −1.11895e7 | − | 2.70139e7i | −0.618420 | − | 1.49300i | −0.853538 | − | 0.521031i | \(-0.825547\pi\) |
0.235117 | − | 0.971967i | \(-0.424453\pi\) | |||||||
\(42\) | −3.16536e6 | − | 3.16536e6i | −0.156965 | − | 0.156965i | ||||
\(43\) | −6.88677e6 | − | 6.88677e6i | −0.307190 | − | 0.307190i | 0.536628 | − | 0.843819i | \(-0.319698\pi\) |
−0.843819 | + | 0.536628i | \(0.819698\pi\) | |||||||
\(44\) | 9.34158e6 | + | 2.25526e7i | 0.375736 | + | 0.907108i | ||||
\(45\) | −126453. | + | 52378.7i | −0.00459699 | + | 0.00190414i | ||||
\(46\) | 7.54846e6 | − | 1.82236e7i | 0.248570 | − | 0.600101i | ||||
\(47\) | − | 1.22741e7i | − | 0.366902i | −0.983029 | − | 0.183451i | \(-0.941273\pi\) | ||
0.983029 | − | 0.183451i | \(-0.0587268\pi\) | |||||||
\(48\) | −3.78506e6 | − | 1.56782e6i | −0.102917 | − | 0.0426296i | ||||
\(49\) | 2.53004e7 | − | 2.53004e7i | 0.626968 | − | 0.626968i | ||||
\(50\) | 6.12420e6 | 0.138575 | ||||||||
\(51\) | 3.44882e7 | + | 3.39894e7i | 0.713847 | + | 0.703523i | ||||
\(52\) | −3.70706e6 | −0.0703095 | ||||||||
\(53\) | −3.83659e7 | + | 3.83659e7i | −0.667888 | + | 0.667888i | −0.957227 | − | 0.289339i | \(-0.906565\pi\) |
0.289339 | + | 0.957227i | \(0.406565\pi\) | |||||||
\(54\) | −3.78928e7 | − | 1.56957e7i | −0.606436 | − | 0.251194i | ||||
\(55\) | 1.29261e8i | 1.90474i | ||||||||
\(56\) | −9.77551e6 | + | 2.36002e7i | −0.132829 | + | 0.320678i | ||||
\(57\) | −1.01460e8 | + | 4.20260e7i | −1.27308 | + | 0.527329i | ||||
\(58\) | 1.24572e7 | + | 3.00744e7i | 0.144543 | + | 0.348957i | ||||
\(59\) | −7.83688e7 | − | 7.83688e7i | −0.841995 | − | 0.841995i | 0.147124 | − | 0.989118i | \(-0.452999\pi\) |
−0.989118 | + | 0.147124i | \(0.952999\pi\) | |||||||
\(60\) | 4.43983e7 | + | 4.43983e7i | 0.442268 | + | 0.442268i | ||||
\(61\) | −3.25243e7 | − | 7.85206e7i | −0.300762 | − | 0.726105i | −0.999938 | − | 0.0111544i | \(-0.996449\pi\) |
0.699175 | − | 0.714950i | \(-0.253551\pi\) | |||||||
\(62\) | 4.00697e7 | − | 1.65974e7i | 0.344392 | − | 0.142652i | ||||
\(63\) | 72845.6 | − | 175865.i | 0.000582601 | − | 0.00140652i | ||||
\(64\) | 9.95030e7i | 0.741355i | ||||||||
\(65\) | −1.81356e7 | − | 7.51200e6i | −0.126015 | − | 0.0521970i | ||||
\(66\) | 1.24423e8 | − | 1.24423e8i | 0.807146 | − | 0.807146i | ||||
\(67\) | 1.27439e8 | 0.772619 | 0.386310 | − | 0.922369i | \(-0.373750\pi\) | ||||
0.386310 | + | 0.922369i | \(0.373750\pi\) | |||||||
\(68\) | 3.75947e7 | − | 9.26652e7i | 0.213224 | − | 0.525565i | ||||
\(69\) | 1.86317e8 | 0.989533 | ||||||||
\(70\) | −3.46154e7 | + | 3.46154e7i | −0.172317 | + | 0.172317i | ||||
\(71\) | −3.23928e8 | − | 1.34175e8i | −1.51282 | − | 0.626629i | −0.536679 | − | 0.843787i | \(-0.680321\pi\) |
−0.976136 | + | 0.217158i | \(0.930321\pi\) | |||||||
\(72\) | − | 1.06322e6i | − | 0.00466259i | ||||||
\(73\) | 9.63630e7 | − | 2.32641e8i | 0.397153 | − | 0.958811i | −0.591186 | − | 0.806536i | \(-0.701340\pi\) |
0.988338 | − | 0.152275i | \(-0.0486601\pi\) | |||||||
\(74\) | −1.32320e7 | + | 5.48087e6i | −0.0512959 | + | 0.0212474i | ||||
\(75\) | 2.21371e7 | + | 5.34438e7i | 0.0807878 | + | 0.195039i | ||||
\(76\) | 1.60370e8 | + | 1.60370e8i | 0.551393 | + | 0.551393i | ||||
\(77\) | −1.27116e8 | − | 1.27116e8i | −0.412091 | − | 0.412091i | ||||
\(78\) | 1.02259e7 | + | 2.46876e7i | 0.0312808 | + | 0.0755184i | ||||
\(79\) | 1.51347e8 | − | 6.26901e7i | 0.437173 | − | 0.181083i | −0.153232 | − | 0.988190i | \(-0.548968\pi\) |
0.590405 | + | 0.807107i | \(0.298968\pi\) | |||||||
\(80\) | −1.71452e7 | + | 4.13922e7i | −0.0467991 | + | 0.112983i | ||||
\(81\) | − | 3.89165e8i | − | 1.00450i | ||||||
\(82\) | 4.02142e8 | + | 1.66573e8i | 0.982239 | + | 0.406857i | ||||
\(83\) | −5.56409e8 | + | 5.56409e8i | −1.28689 | + | 1.28689i | −0.350230 | + | 0.936664i | \(0.613897\pi\) |
−0.936664 | + | 0.350230i | \(0.886103\pi\) | |||||||
\(84\) | −8.73232e7 | −0.191370 | ||||||||
\(85\) | 3.71698e8 | − | 3.77153e8i | 0.772333 | − | 0.783668i | ||||
\(86\) | 1.44985e8 | 0.285812 | ||||||||
\(87\) | −2.17420e8 | + | 2.17420e8i | −0.406877 | + | 0.406877i | ||||
\(88\) | −9.27665e8 | − | 3.84252e8i | −1.64900 | − | 0.683036i | ||||
\(89\) | 2.83737e8i | 0.479360i | 0.970852 | + | 0.239680i | \(0.0770425\pi\) | ||||
−0.970852 | + | 0.239680i | \(0.922958\pi\) | |||||||
\(90\) | 779736. | − | 1.88245e6i | 0.00125273 | − | 0.00302435i | ||||
\(91\) | 2.52221e7 | − | 1.04473e7i | 0.0385562 | − | 0.0159705i | ||||
\(92\) | −1.47248e8 | − | 3.55488e8i | −0.214291 | − | 0.517345i | ||||
\(93\) | 2.89680e8 | + | 2.89680e8i | 0.401555 | + | 0.401555i | ||||
\(94\) | 1.29202e8 | + | 1.29202e8i | 0.170684 | + | 0.170684i | ||||
\(95\) | 4.59583e8 | + | 1.10953e9i | 0.578906 | + | 1.39760i | ||||
\(96\) | −7.38147e8 | + | 3.05750e8i | −0.886997 | + | 0.367406i | ||||
\(97\) | −1.00334e8 | + | 2.42227e8i | −0.115073 | + | 0.277811i | −0.970914 | − | 0.239428i | \(-0.923040\pi\) |
0.855841 | + | 0.517239i | \(0.173040\pi\) | |||||||
\(98\) | 5.32642e8i | 0.583335i | ||||||||
\(99\) | 6.91282e6 | + | 2.86339e6i | 0.00723264 | + | 0.00299586i | ||||
\(100\) | 8.44745e7 | − | 8.44745e7i | 0.0844745 | − | 0.0844745i | ||||
\(101\) | 1.01701e9 | 0.972477 | 0.486238 | − | 0.873826i | \(-0.338369\pi\) | ||||
0.486238 | + | 0.873826i | \(0.338369\pi\) | |||||||
\(102\) | −7.20820e8 | + | 5.25072e6i | −0.659366 | + | 0.00480306i | ||||
\(103\) | 1.11236e9 | 0.973814 | 0.486907 | − | 0.873454i | \(-0.338125\pi\) | ||||
0.486907 | + | 0.873454i | \(0.338125\pi\) | |||||||
\(104\) | 1.07822e8 | − | 1.07822e8i | 0.0903773 | − | 0.0903773i | ||||
\(105\) | −4.27201e8 | − | 1.76952e8i | −0.342989 | − | 0.142071i | ||||
\(106\) | − | 8.07706e8i | − | 0.621408i | ||||||
\(107\) | 4.49497e8 | − | 1.08518e9i | 0.331512 | − | 0.800342i | −0.666960 | − | 0.745093i | \(-0.732405\pi\) |
0.998473 | − | 0.0552485i | \(-0.0175951\pi\) | |||||||
\(108\) | −7.39176e8 | + | 3.06177e8i | −0.522806 | + | 0.216554i | ||||
\(109\) | 4.34048e8 | + | 1.04789e9i | 0.294523 | + | 0.711041i | 0.999997 | + | 0.00230568i | \(0.000733922\pi\) |
−0.705475 | + | 0.708735i | \(0.749266\pi\) | |||||||
\(110\) | −1.36065e9 | − | 1.36065e9i | −0.886092 | − | 0.886092i | ||||
\(111\) | −9.56593e7 | − | 9.56593e7i | −0.0598100 | − | 0.0598100i | ||||
\(112\) | −2.38447e7 | − | 5.75662e7i | −0.0143189 | − | 0.0345690i | ||||
\(113\) | −1.27036e9 | + | 5.26199e8i | −0.732948 | + | 0.303597i | −0.717763 | − | 0.696288i | \(-0.754834\pi\) |
−0.0151850 | + | 0.999885i | \(0.504834\pi\) | |||||||
\(114\) | 6.25621e8 | − | 1.51038e9i | 0.346928 | − | 0.837558i | ||||
\(115\) | − | 2.03750e9i | − | 1.08632i | ||||||
\(116\) | 5.86663e8 | + | 2.43004e8i | 0.300835 | + | 0.124610i | ||||
\(117\) | −803477. | + | 803477.i | −0.000396403 | + | 0.000396403i | ||||
\(118\) | 1.64988e9 | 0.783398 | ||||||||
\(119\) | 5.36440e6 | + | 7.36426e8i | 0.00245222 | + | 0.336641i | ||||
\(120\) | −2.58271e9 | −1.13700 | ||||||||
\(121\) | 3.32932e9 | − | 3.32932e9i | 1.41196 | − | 1.41196i | ||||
\(122\) | 1.16890e9 | + | 4.84173e8i | 0.477702 | + | 0.197871i | ||||
\(123\) | 4.11147e9i | 1.61966i | ||||||||
\(124\) | 3.23766e8 | − | 7.81641e8i | 0.122980 | − | 0.296900i | ||||
\(125\) | −2.19026e9 | + | 9.07235e8i | −0.802418 | + | 0.332372i | ||||
\(126\) | 1.08442e6 | + | 2.61802e6i | 0.000383291 | + | 0.000925347i | ||||
\(127\) | 1.15794e9 | + | 1.15794e9i | 0.394974 | + | 0.394974i | 0.876456 | − | 0.481482i | \(-0.159901\pi\) |
−0.481482 | + | 0.876456i | \(0.659901\pi\) | |||||||
\(128\) | 1.00970e9 | + | 1.00970e9i | 0.332467 | + | 0.332467i | ||||
\(129\) | 5.24078e8 | + | 1.26524e9i | 0.166626 | + | 0.402270i | ||||
\(130\) | 2.69976e8 | − | 1.11828e8i | 0.0829048 | − | 0.0343403i | ||||
\(131\) | 1.87492e9 | − | 4.52645e9i | 0.556239 | − | 1.34288i | −0.356484 | − | 0.934302i | \(-0.616024\pi\) |
0.912723 | − | 0.408579i | \(-0.133976\pi\) | |||||||
\(132\) | − | 3.43247e9i | − | 0.984064i | ||||||
\(133\) | −1.54308e9 | − | 6.39165e8i | −0.427618 | − | 0.177125i | ||||
\(134\) | −1.34147e9 | + | 1.34147e9i | −0.359425 | + | 0.359425i | ||||
\(135\) | −4.23662e9 | −1.09779 | ||||||||
\(136\) | 1.60177e9 | + | 3.78871e9i | 0.401489 | + | 0.949655i | ||||
\(137\) | −3.10441e9 | −0.752899 | −0.376449 | − | 0.926437i | \(-0.622855\pi\) | ||||
−0.376449 | + | 0.926437i | \(0.622855\pi\) | |||||||
\(138\) | −1.96123e9 | + | 1.96123e9i | −0.460334 | + | 0.460334i | ||||
\(139\) | 2.60628e8 | + | 1.07956e8i | 0.0592181 | + | 0.0245289i | 0.412096 | − | 0.911140i | \(-0.364797\pi\) |
−0.352878 | + | 0.935669i | \(0.614797\pi\) | |||||||
\(140\) | 9.54939e8i | 0.210087i | ||||||||
\(141\) | −6.60473e8 | + | 1.59452e9i | −0.140724 | + | 0.339738i | ||||
\(142\) | 4.82216e9 | − | 1.99740e9i | 0.995277 | − | 0.412257i | ||||
\(143\) | 4.10659e8 | + | 9.91418e8i | 0.0821238 | + | 0.198264i | ||||
\(144\) | 1.83384e6 | + | 1.83384e6i | 0.000355410 | + | 0.000355410i | ||||
\(145\) | 2.37764e9 | + | 2.37764e9i | 0.446673 | + | 0.446673i | ||||
\(146\) | 1.43451e9 | + | 3.46321e9i | 0.261286 | + | 0.630799i | ||||
\(147\) | −4.64819e9 | + | 1.92534e9i | −0.821023 | + | 0.340079i | ||||
\(148\) | −1.06915e8 | + | 2.58117e8i | −0.0183174 | + | 0.0442220i | ||||
\(149\) | − | 1.55842e9i | − | 0.259028i | −0.991578 | − | 0.129514i | \(-0.958658\pi\) | ||
0.991578 | − | 0.129514i | \(-0.0413417\pi\) | |||||||
\(150\) | −7.95592e8 | − | 3.29545e8i | −0.128316 | − | 0.0531501i | ||||
\(151\) | −5.92882e9 | + | 5.92882e9i | −0.928051 | + | 0.928051i | −0.997580 | − | 0.0695289i | \(-0.977850\pi\) |
0.0695289 | + | 0.997580i | \(0.477850\pi\) | |||||||
\(152\) | −9.32895e9 | −1.41754 | ||||||||
\(153\) | −1.19361e7 | − | 2.82329e7i | −0.00176097 | − | 0.00416528i | ||||
\(154\) | 2.67615e9 | 0.383413 | ||||||||
\(155\) | 3.16785e9 | − | 3.16785e9i | 0.440830 | − | 0.440830i | ||||
\(156\) | 4.81582e8 | + | 1.99478e8i | 0.0651042 | + | 0.0269671i | ||||
\(157\) | − | 8.18273e9i | − | 1.07486i | −0.843310 | − | 0.537428i | \(-0.819396\pi\) | ||
0.843310 | − | 0.537428i | \(-0.180604\pi\) | |||||||
\(158\) | −9.33237e8 | + | 2.25303e9i | −0.119134 | + | 0.287615i | ||||
\(159\) | 7.04857e9 | − | 2.91961e9i | 0.874609 | − | 0.362275i | ||||
\(160\) | 3.34359e9 | + | 8.07214e9i | 0.403342 | + | 0.973753i | ||||
\(161\) | 2.00369e9 | + | 2.00369e9i | 0.235025 | + | 0.235025i | ||||
\(162\) | 4.09648e9 | + | 4.09648e9i | 0.467298 | + | 0.467298i | ||||
\(163\) | −3.53544e9 | − | 8.53531e9i | −0.392283 | − | 0.947055i | −0.989442 | − | 0.144932i | \(-0.953704\pi\) |
0.597159 | − | 0.802123i | \(-0.296296\pi\) | |||||||
\(164\) | 7.84460e9 | − | 3.24934e9i | 0.846786 | − | 0.350750i | ||||
\(165\) | 6.95557e9 | − | 1.67922e10i | 0.730559 | − | 1.76373i | ||||
\(166\) | − | 1.17139e10i | − | 1.19734i | ||||||
\(167\) | −9.94146e9 | − | 4.11789e9i | −0.989067 | − | 0.409685i | −0.171291 | − | 0.985221i | \(-0.554794\pi\) |
−0.817777 | + | 0.575535i | \(0.804794\pi\) | |||||||
\(168\) | 2.53986e9 | − | 2.53986e9i | 0.245990 | − | 0.245990i | ||||
\(169\) | 1.04415e10 | 0.984633 | ||||||||
\(170\) | 5.74202e7 | + | 7.88266e9i | 0.00527284 | + | 0.723857i | ||||
\(171\) | 6.95179e7 | 0.00621748 | ||||||||
\(172\) | 1.99986e9 | − | 1.99986e9i | 0.174230 | − | 0.174230i | ||||
\(173\) | −1.52806e10 | − | 6.32944e9i | −1.29698 | − | 0.537227i | −0.375922 | − | 0.926651i | \(-0.622674\pi\) |
−0.921059 | + | 0.389424i | \(0.872674\pi\) | |||||||
\(174\) | − | 4.57728e9i | − | 0.378561i | ||||||
\(175\) | −3.36679e8 | + | 8.12816e8i | −0.0271360 | + | 0.0655120i | ||||
\(176\) | 2.26279e9 | − | 9.37277e8i | 0.177761 | − | 0.0736311i | ||||
\(177\) | 5.96380e9 | + | 1.43979e10i | 0.456713 | + | 1.10260i | ||||
\(178\) | −2.98672e9 | − | 2.98672e9i | −0.223000 | − | 0.223000i | ||||
\(179\) | 8.52450e9 | + | 8.52450e9i | 0.620627 | + | 0.620627i | 0.945692 | − | 0.325065i | \(-0.105386\pi\) |
−0.325065 | + | 0.945692i | \(0.605386\pi\) | |||||||
\(180\) | −1.52103e7 | − | 3.67210e7i | −0.00107997 | − | 0.00260728i | ||||
\(181\) | −1.89837e10 | + | 7.86330e9i | −1.31470 | + | 0.544567i | −0.926252 | − | 0.376904i | \(-0.876989\pi\) |
−0.388448 | + | 0.921471i | \(0.626989\pi\) | |||||||
\(182\) | −1.55524e8 | + | 3.75468e8i | −0.0105069 | + | 0.0253660i | ||||
\(183\) | 1.19507e10i | 0.787705i | ||||||||
\(184\) | 1.46225e10 | + | 6.05682e9i | 0.940460 | + | 0.389551i | ||||
\(185\) | −1.04610e9 | + | 1.04610e9i | −0.0656599 | + | 0.0656599i | ||||
\(186\) | −6.09854e9 | −0.373610 | ||||||||
\(187\) | −2.89471e10 | + | 2.10862e8i | −1.73108 | + | 0.0126099i | ||||
\(188\) | 3.56430e9 | 0.208096 | ||||||||
\(189\) | 4.16633e9 | − | 4.16633e9i | 0.237506 | − | 0.237506i | ||||
\(190\) | −1.65171e10 | − | 6.84159e9i | −0.919479 | − | 0.380861i | ||||
\(191\) | 3.26529e10i | 1.77530i | 0.460517 | + | 0.887651i | \(0.347664\pi\) | ||||
−0.460517 | + | 0.887651i | \(0.652336\pi\) | |||||||
\(192\) | 5.35428e9 | − | 1.29264e10i | 0.284345 | − | 0.686470i | ||||
\(193\) | 2.57010e10 | − | 1.06457e10i | 1.33334 | − | 0.552289i | 0.401736 | − | 0.915756i | \(-0.368407\pi\) |
0.931607 | + | 0.363467i | \(0.118407\pi\) | |||||||
\(194\) | −1.49362e9 | − | 3.60592e9i | −0.0757064 | − | 0.182771i | ||||
\(195\) | 1.95176e9 | + | 1.95176e9i | 0.0966654 | + | 0.0966654i | ||||
\(196\) | 7.34703e9 | + | 7.34703e9i | 0.355598 | + | 0.355598i | ||||
\(197\) | −1.05700e10 | − | 2.55183e10i | −0.500009 | − | 1.20713i | −0.949478 | − | 0.313833i | \(-0.898387\pi\) |
0.449469 | − | 0.893296i | \(-0.351613\pi\) | |||||||
\(198\) | −1.02908e8 | + | 4.26258e7i | −0.00475834 | + | 0.00197097i | ||||
\(199\) | −1.43774e10 | + | 3.47100e10i | −0.649891 | + | 1.56897i | 0.163043 | + | 0.986619i | \(0.447869\pi\) |
−0.812934 | + | 0.582356i | \(0.802131\pi\) | |||||||
\(200\) | 4.91401e9i | 0.217171i | ||||||||
\(201\) | −1.65555e10 | − | 6.85752e9i | −0.715419 | − | 0.296336i | ||||
\(202\) | −1.07054e10 | + | 1.07054e10i | −0.452400 | + | 0.452400i | ||||
\(203\) | −4.67638e9 | −0.193276 | ||||||||
\(204\) | −9.87025e9 | + | 1.00151e10i | −0.399018 | + | 0.404874i | ||||
\(205\) | 4.49617e10 | 1.77808 | ||||||||
\(206\) | −1.17091e10 | + | 1.17091e10i | −0.453022 | + | 0.453022i | ||||
\(207\) | −1.08964e8 | − | 4.51346e7i | −0.00412495 | − | 0.00170861i | ||||
\(208\) | 3.71943e8i | 0.0137782i | ||||||||
\(209\) | 2.51240e10 | − | 6.06548e10i | 0.910817 | − | 2.19891i | ||||
\(210\) | 6.35953e9 | − | 2.63421e9i | 0.225652 | − | 0.0934680i | ||||
\(211\) | 1.41079e9 | + | 3.40596e9i | 0.0489996 | + | 0.118296i | 0.946484 | − | 0.322751i | \(-0.104608\pi\) |
−0.897484 | + | 0.441046i | \(0.854608\pi\) | |||||||
\(212\) | −1.11411e10 | − | 1.11411e10i | −0.378807 | − | 0.378807i | ||||
\(213\) | 3.48613e10 | + | 3.48613e10i | 1.16047 | + | 1.16047i | ||||
\(214\) | 6.69144e9 | + | 1.61546e10i | 0.218101 | + | 0.526543i | ||||
\(215\) | 1.38362e10 | − | 5.73115e9i | 0.441615 | − | 0.182923i | ||||
\(216\) | 1.25941e10 | − | 3.04049e10i | 0.393664 | − | 0.950389i | ||||
\(217\) | 6.23057e9i | 0.190748i | ||||||||
\(218\) | −1.55994e10 | − | 6.46147e9i | −0.467792 | − | 0.193766i | ||||
\(219\) | −2.50369e10 | + | 2.50369e10i | −0.735500 | + | 0.735500i | ||||
\(220\) | −3.75363e10 | −1.08031 | ||||||||
\(221\) | 1.65268e9 | − | 4.07359e9i | 0.0466039 | − | 0.114871i | ||||
\(222\) | 2.01389e9 | 0.0556477 | ||||||||
\(223\) | −8.94485e9 | + | 8.94485e9i | −0.242215 | + | 0.242215i | −0.817766 | − | 0.575551i | \(-0.804788\pi\) |
0.575551 | + | 0.817766i | \(0.304788\pi\) | |||||||
\(224\) | −1.12263e10 | − | 4.65010e9i | −0.297935 | − | 0.123409i | ||||
\(225\) | − | 3.66185e7i | − | 0.000952530i | ||||||
\(226\) | 7.83327e9 | − | 1.89112e10i | 0.199736 | − | 0.482204i | ||||
\(227\) | 4.09024e10 | − | 1.69423e10i | 1.02243 | − | 0.423503i | 0.192453 | − | 0.981306i | \(-0.438356\pi\) |
0.829973 | + | 0.557803i | \(0.188356\pi\) | |||||||
\(228\) | −1.22040e10 | − | 2.94631e10i | −0.299086 | − | 0.722057i | ||||
\(229\) | −4.72078e10 | − | 4.72078e10i | −1.13437 | − | 1.13437i | −0.989443 | − | 0.144925i | \(-0.953706\pi\) |
−0.144925 | − | 0.989443i | \(-0.546294\pi\) | |||||||
\(230\) | 2.14474e10 | + | 2.14474e10i | 0.505359 | + | 0.505359i | ||||
\(231\) | 9.67346e9 | + | 2.33538e10i | 0.223526 | + | 0.539639i | ||||
\(232\) | −2.41315e10 | + | 9.99558e9i | −0.546875 | + | 0.226523i | ||||
\(233\) | 2.38301e10 | − | 5.75309e10i | 0.529692 | − | 1.27879i | −0.402033 | − | 0.915625i | \(-0.631696\pi\) |
0.931725 | − | 0.363165i | \(-0.118304\pi\) | |||||||
\(234\) | − | 1.69154e7i | − | 0.000368816i | ||||||
\(235\) | 1.74372e10 | + | 7.22272e9i | 0.372968 | + | 0.154488i | ||||
\(236\) | 2.27577e10 | − | 2.27577e10i | 0.477555 | − | 0.477555i | ||||
\(237\) | −2.30348e10 | −0.474261 | ||||||||
\(238\) | −7.80834e9 | − | 7.69541e9i | −0.157748 | − | 0.155466i | ||||
\(239\) | 6.82772e10 | 1.35358 | 0.676792 | − | 0.736174i | \(-0.263370\pi\) | ||||
0.676792 | + | 0.736174i | \(0.263370\pi\) | |||||||
\(240\) | 4.45465e9 | − | 4.45465e9i | 0.0866688 | − | 0.0866688i | ||||
\(241\) | −5.72975e10 | − | 2.37334e10i | −1.09410 | − | 0.453193i | −0.238668 | − | 0.971101i | \(-0.576711\pi\) |
−0.855436 | + | 0.517908i | \(0.826711\pi\) | |||||||
\(242\) | 7.00912e10i | 1.31369i | ||||||||
\(243\) | −1.88125e8 | + | 4.54174e8i | −0.00346114 | + | 0.00835592i | ||||
\(244\) | 2.28017e10 | − | 9.44478e9i | 0.411826 | − | 0.170584i | ||||
\(245\) | 2.10549e10 | + | 5.08311e10i | 0.373341 | + | 0.901326i | ||||
\(246\) | −4.32788e10 | − | 4.32788e10i | −0.753471 | − | 0.753471i | ||||
\(247\) | 7.04990e9 | + | 7.04990e9i | 0.120517 | + | 0.120517i | ||||
\(248\) | 1.33176e10 | + | 3.21516e10i | 0.223560 | + | 0.539722i | ||||
\(249\) | 1.02223e11 | − | 4.23423e10i | 1.68521 | − | 0.698035i | ||||
\(250\) | 1.35056e10 | − | 3.26053e10i | 0.218667 | − | 0.527908i | ||||
\(251\) | 8.72683e10i | 1.38779i | 0.720074 | + | 0.693897i | \(0.244108\pi\) | ||||
−0.720074 | + | 0.693897i | \(0.755892\pi\) | |||||||
\(252\) | 5.10697e7 | + | 2.11538e7i | 0.000797739 | + | 0.000330434i | ||||
\(253\) | −7.87603e10 | + | 7.87603e10i | −1.20855 | + | 1.20855i | ||||
\(254\) | −2.43777e10 | −0.367486 | ||||||||
\(255\) | −6.85817e10 | + | 2.89945e10i | −1.01573 | + | 0.429423i | ||||
\(256\) | −7.22025e10 | −1.05069 | ||||||||
\(257\) | −1.64355e10 | + | 1.64355e10i | −0.235009 | + | 0.235009i | −0.814780 | − | 0.579771i | \(-0.803142\pi\) |
0.579771 | + | 0.814780i | \(0.303142\pi\) | |||||||
\(258\) | −1.88350e10 | − | 7.80169e9i | −0.264652 | − | 0.109623i | ||||
\(259\) | − | 2.05749e9i | − | 0.0284111i | ||||||
\(260\) | 2.18142e9 | − | 5.26642e9i | 0.0296047 | − | 0.0714719i | ||||
\(261\) | 1.79824e8 | − | 7.44856e7i | 0.00239864 | − | 0.000993551i | ||||
\(262\) | 2.79110e10 | + | 6.73831e10i | 0.365948 | + | 0.883477i | ||||
\(263\) | −1.80017e10 | − | 1.80017e10i | −0.232014 | − | 0.232014i | 0.581519 | − | 0.813533i | \(-0.302459\pi\) |
−0.813533 | + | 0.581519i | \(0.802459\pi\) | |||||||
\(264\) | 9.98358e10 | + | 9.98358e10i | 1.26494 | + | 1.26494i | ||||
\(265\) | −3.19280e10 | − | 7.70809e10i | −0.397708 | − | 0.960153i | ||||
\(266\) | 2.29711e10 | − | 9.51494e9i | 0.281329 | − | 0.116530i | ||||
\(267\) | 1.52680e10 | − | 3.68602e10i | 0.183857 | − | 0.443871i | ||||
\(268\) | 3.70072e10i | 0.438207i | ||||||||
\(269\) | 1.53860e10 | + | 6.37307e9i | 0.179159 | + | 0.0742102i | 0.470460 | − | 0.882421i | \(-0.344088\pi\) |
−0.291301 | + | 0.956632i | \(0.594088\pi\) | |||||||
\(270\) | 4.45962e10 | − | 4.45962e10i | 0.510694 | − | 0.510694i | ||||
\(271\) | −7.55383e10 | −0.850756 | −0.425378 | − | 0.905016i | \(-0.639859\pi\) | ||||
−0.425378 | + | 0.905016i | \(0.639859\pi\) | |||||||
\(272\) | −9.29746e9 | − | 3.77203e9i | −0.102992 | − | 0.0417844i | ||||
\(273\) | −3.83876e9 | −0.0418272 | ||||||||
\(274\) | 3.26781e10 | − | 3.26781e10i | 0.350251 | − | 0.350251i | ||||
\(275\) | −3.19498e10 | − | 1.32341e10i | −0.336877 | − | 0.139539i | ||||
\(276\) | 5.41048e10i | 0.561235i | ||||||||
\(277\) | 1.18144e10 | − | 2.85226e10i | 0.120574 | − | 0.291092i | −0.852056 | − | 0.523451i | \(-0.824644\pi\) |
0.972630 | + | 0.232359i | \(0.0746444\pi\) | |||||||
\(278\) | −3.87984e9 | + | 1.60708e9i | −0.0389594 | + | 0.0161375i | ||||
\(279\) | −9.92410e7 | − | 2.39589e8i | −0.000980555 | − | 0.00236727i | ||||
\(280\) | −2.77751e10 | − | 2.77751e10i | −0.270050 | − | 0.270050i | ||||
\(281\) | 4.17258e10 | + | 4.17258e10i | 0.399233 | + | 0.399233i | 0.877962 | − | 0.478729i | \(-0.158903\pi\) |
−0.478729 | + | 0.877962i | \(0.658903\pi\) | |||||||
\(282\) | −9.83214e9 | − | 2.37369e10i | −0.0925821 | − | 0.223513i | ||||
\(283\) | −1.69623e11 | + | 7.02599e10i | −1.57197 | + | 0.651132i | −0.987116 | − | 0.160006i | \(-0.948849\pi\) |
−0.584855 | + | 0.811138i | \(0.698849\pi\) | |||||||
\(284\) | 3.89634e10 | − | 9.40660e10i | 0.355406 | − | 0.858025i | ||||
\(285\) | − | 1.68869e11i | − | 1.51617i | ||||||
\(286\) | −1.47588e10 | − | 6.11328e9i | −0.130438 | − | 0.0540290i | ||||
\(287\) | −4.42157e10 | + | 4.42157e10i | −0.384687 | + | 0.384687i | ||||
\(288\) | 5.05761e8 | 0.00433191 | ||||||||
\(289\) | 8.50670e10 | + | 8.26238e10i | 0.717333 | + | 0.696731i | ||||
\(290\) | −5.00557e10 | −0.415587 | ||||||||
\(291\) | 2.60686e10 | − | 2.60686e10i | 0.213108 | − | 0.213108i | ||||
\(292\) | 6.75570e10 | + | 2.79830e10i | 0.543810 | + | 0.225253i | ||||
\(293\) | − | 8.80276e10i | − | 0.697774i | −0.937165 | − | 0.348887i | \(-0.886560\pi\) | ||
0.937165 | − | 0.348887i | \(-0.113440\pi\) | |||||||
\(294\) | 2.86616e10 | − | 6.91953e10i | 0.223737 | − | 0.540149i | ||||
\(295\) | 1.57451e11 | − | 6.52183e10i | 1.21045 | − | 0.501384i | ||||
\(296\) | −4.39780e9 | − | 1.06172e10i | −0.0332984 | − | 0.0803894i | ||||
\(297\) | 1.63768e11 | + | 1.63768e11i | 1.22131 | + | 1.22131i | ||||
\(298\) | 1.64045e10 | + | 1.64045e10i | 0.120501 | + | 0.120501i | ||||
\(299\) | −6.47307e9 | − | 1.56274e10i | −0.0468371 | − | 0.113075i | ||||
\(300\) | −1.55196e10 | + | 6.42844e9i | −0.110621 | + | 0.0458205i | ||||
\(301\) | −7.97059e9 | + | 1.92427e10i | −0.0559682 | + | 0.135119i | ||||
\(302\) | − | 1.24818e11i | − | 0.863465i | ||||||
\(303\) | −1.32119e11 | − | 5.47256e10i | −0.900481 | − | 0.372991i | ||||
\(304\) | 1.60905e10 | − | 1.60905e10i | 0.108054 | − | 0.108054i | ||||
\(305\) | 1.30689e11 | 0.864749 | ||||||||
\(306\) | 4.22833e8 | + | 1.71546e8i | 0.00275691 | + | 0.00111849i | ||||
\(307\) | 1.25066e11 | 0.803558 | 0.401779 | − | 0.915737i | \(-0.368392\pi\) | ||||
0.401779 | + | 0.915737i | \(0.368392\pi\) | |||||||
\(308\) | 3.69136e10 | − | 3.69136e10i | 0.233726 | − | 0.233726i | ||||
\(309\) | −1.44506e11 | − | 5.98561e10i | −0.901719 | − | 0.373504i | ||||
\(310\) | 6.66917e10i | 0.410152i | ||||||||
\(311\) | 4.73166e10 | − | 1.14232e11i | 0.286808 | − | 0.692416i | −0.713155 | − | 0.701006i | \(-0.752734\pi\) |
0.999963 | + | 0.00859042i | \(0.00273445\pi\) | |||||||
\(312\) | −1.98091e10 | + | 8.20520e9i | −0.118350 | + | 0.0490223i | ||||
\(313\) | −1.88470e10 | − | 4.55007e10i | −0.110992 | − | 0.267959i | 0.858617 | − | 0.512618i | \(-0.171324\pi\) |
−0.969609 | + | 0.244658i | \(0.921324\pi\) | |||||||
\(314\) | 8.61344e10 | + | 8.61344e10i | 0.500027 | + | 0.500027i | ||||
\(315\) | 2.06976e8 | + | 2.06976e8i | 0.00118447 | + | 0.00118447i | ||||
\(316\) | 1.82047e10 | + | 4.39500e10i | 0.102705 | + | 0.247952i | ||||
\(317\) | −2.71663e11 | + | 1.12526e11i | −1.51100 | + | 0.625875i | −0.975763 | − | 0.218829i | \(-0.929776\pi\) |
−0.535233 | + | 0.844705i | \(0.679776\pi\) | |||||||
\(318\) | −4.34629e10 | + | 1.04929e11i | −0.238340 | + | 0.575403i | ||||
\(319\) | − | 1.83817e11i | − | 0.993865i | ||||||
\(320\) | −1.41359e11 | − | 5.85527e10i | −0.753612 | − | 0.312156i | ||||
\(321\) | −1.16788e11 | + | 1.16788e11i | −0.613939 | + | 0.613939i | ||||
\(322\) | −4.21832e10 | −0.218669 | ||||||||
\(323\) | −2.47722e11 | + | 1.04730e11i | −1.26635 | + | 0.535379i | ||||
\(324\) | 1.13010e11 | 0.569725 | ||||||||
\(325\) | 3.71353e9 | − | 3.71353e9i | 0.0184634 | − | 0.0184634i | ||||
\(326\) | 1.27061e11 | + | 5.26304e10i | 0.623065 | + | 0.258082i | ||||
\(327\) | − | 1.59487e11i | − | 0.771363i | ||||||
\(328\) | −1.33657e11 | + | 3.22676e11i | −0.637614 | + | 1.53934i | ||||
\(329\) | −2.42508e10 | + | 1.00450e10i | −0.114115 | + | 0.0472681i | ||||
\(330\) | 1.03544e11 | + | 2.49978e11i | 0.480633 | + | 1.16035i | ||||
\(331\) | −2.17162e10 | − | 2.17162e10i | −0.0994395 | − | 0.0994395i | 0.655637 | − | 0.755076i | \(-0.272400\pi\) |
−0.755076 | + | 0.655637i | \(0.772400\pi\) | |||||||
\(332\) | −1.61577e11 | − | 1.61577e11i | −0.729889 | − | 0.729889i | ||||
\(333\) | 3.27718e7 | + | 7.91181e7i | 0.000146050 | + | 0.000352595i | ||||
\(334\) | 1.47994e11 | − | 6.13010e10i | 0.650705 | − | 0.269531i | ||||
\(335\) | −7.49917e10 | + | 1.81046e11i | −0.325321 | + | 0.785393i | ||||
\(336\) | 8.76148e9i | 0.0375017i | ||||||||
\(337\) | 3.94971e11 | + | 1.63602e11i | 1.66813 | + | 0.690963i | 0.998654 | − | 0.0518683i | \(-0.0165176\pi\) |
0.669479 | + | 0.742831i | \(0.266518\pi\) | |||||||
\(338\) | −1.09911e11 | + | 1.09911e11i | −0.458055 | + | 0.458055i | ||||
\(339\) | 1.93346e11 | 0.795129 | ||||||||
\(340\) | 1.09522e11 | + | 1.07938e11i | 0.444474 | + | 0.438045i | ||||
\(341\) | −2.44909e11 | −0.980866 | ||||||||
\(342\) | −7.31770e8 | + | 7.31770e8i | −0.00289239 | + | 0.00289239i | ||||
\(343\) | −1.50423e11 | − | 6.23071e10i | −0.586799 | − | 0.243060i | ||||
\(344\) | 1.16335e11i | 0.447917i | ||||||||
\(345\) | −1.09638e11 | + | 2.64690e11i | −0.416655 | + | 1.00589i | ||||
\(346\) | 2.27475e11 | − | 9.42233e10i | 0.853280 | − | 0.353440i | ||||
\(347\) | 5.02641e10 | + | 1.21348e11i | 0.186112 | + | 0.449315i | 0.989205 | − | 0.146540i | \(-0.0468136\pi\) |
−0.803093 | + | 0.595854i | \(0.796814\pi\) | |||||||
\(348\) | −6.31370e10 | − | 6.31370e10i | −0.230769 | − | 0.230769i | ||||
\(349\) | −1.34700e11 | − | 1.34700e11i | −0.486018 | − | 0.486018i | 0.421029 | − | 0.907047i | \(-0.361669\pi\) |
−0.907047 | + | 0.421029i | \(0.861669\pi\) | |||||||
\(350\) | −5.01198e9 | − | 1.21000e10i | −0.0178527 | − | 0.0431002i | ||||
\(351\) | −3.24944e10 | + | 1.34596e10i | −0.114268 | + | 0.0473316i | ||||
\(352\) | 1.82784e11 | − | 4.41280e11i | 0.634594 | − | 1.53205i | ||||
\(353\) | − | 5.20746e10i | − | 0.178501i | −0.996009 | − | 0.0892503i | \(-0.971553\pi\) | ||
0.996009 | − | 0.0892503i | \(-0.0284471\pi\) | |||||||
\(354\) | −2.14335e11 | − | 8.87803e10i | −0.725400 | − | 0.300470i | ||||
\(355\) | 3.81232e11 | − | 3.81232e11i | 1.27398 | − | 1.27398i | ||||
\(356\) | −8.23950e10 | −0.271879 | ||||||||
\(357\) | 3.89304e10 | − | 9.59573e10i | 0.126847 | − | 0.312659i | ||||
\(358\) | −1.79464e11 | −0.577435 | ||||||||
\(359\) | 4.35039e11 | − | 4.35039e11i | 1.38230 | − | 1.38230i | 0.541788 | − | 0.840515i | \(-0.317747\pi\) |
0.840515 | − | 0.541788i | \(-0.182253\pi\) | |||||||
\(360\) | 1.51046e9 | + | 6.25654e8i | 0.00473967 | + | 0.00196324i | ||||
\(361\) | − | 2.87279e11i | − | 0.890271i | ||||||
\(362\) | 1.17057e11 | − | 2.82601e11i | 0.358269 | − | 0.864938i | ||||
\(363\) | −6.11662e11 | + | 2.53359e11i | −1.84898 | + | 0.765871i | ||||
\(364\) | 3.03381e9 | + | 7.32427e9i | 0.00905801 | + | 0.0218680i | ||||
\(365\) | 2.73796e11 | + | 2.73796e11i | 0.807438 | + | 0.807438i | ||||
\(366\) | −1.25797e11 | − | 1.25797e11i | −0.366443 | − | 0.366443i | ||||
\(367\) | 2.14315e11 | + | 5.17401e11i | 0.616672 | + | 1.48878i | 0.855545 | + | 0.517728i | \(0.173222\pi\) |
−0.238873 | + | 0.971051i | \(0.576778\pi\) | |||||||
\(368\) | −3.56675e10 | + | 1.47740e10i | −0.101381 | + | 0.0419935i | ||||
\(369\) | 9.95989e8 | − | 2.40453e9i | 0.00279664 | − | 0.00675168i | ||||
\(370\) | − | 2.20232e10i | − | 0.0610904i | ||||||
\(371\) | 1.07200e11 | + | 4.44038e10i | 0.293774 | + | 0.121685i | ||||
\(372\) | −8.41206e10 | + | 8.41206e10i | −0.227750 | + | 0.227750i | ||||
\(373\) | 2.00817e10 | 0.0537169 | 0.0268585 | − | 0.999639i | \(-0.491450\pi\) | ||||
0.0268585 | + | 0.999639i | \(0.491450\pi\) | |||||||
\(374\) | 3.02488e11 | − | 3.06927e11i | 0.799440 | − | 0.811172i | ||||
\(375\) | 3.33354e11 | 0.870492 | ||||||||
\(376\) | −1.03670e11 | + | 1.03670e11i | −0.267491 | + | 0.267491i | ||||
\(377\) | 2.57899e10 | + | 1.06825e10i | 0.0657526 | + | 0.0272356i | ||||
\(378\) | 8.77125e10i | 0.220978i | ||||||||
\(379\) | 8.50937e9 | − | 2.05434e10i | 0.0211846 | − | 0.0511442i | −0.912933 | − | 0.408109i | \(-0.866188\pi\) |
0.934118 | + | 0.356965i | \(0.116188\pi\) | |||||||
\(380\) | −3.22199e11 | + | 1.33459e11i | −0.792680 | + | 0.328339i | ||||
\(381\) | −8.81181e10 | − | 2.12736e11i | −0.214241 | − | 0.517223i | ||||
\(382\) | −3.43717e11 | − | 3.43717e11i | −0.825877 | − | 0.825877i | ||||
\(383\) | 7.48749e10 | + | 7.48749e10i | 0.177804 | + | 0.177804i | 0.790398 | − | 0.612594i | \(-0.209874\pi\) |
−0.612594 | + | 0.790398i | \(0.709874\pi\) | |||||||
\(384\) | −7.68376e10 | − | 1.85502e11i | −0.180336 | − | 0.435370i | ||||
\(385\) | 2.55390e11 | − | 1.05786e11i | 0.592421 | − | 0.245389i | ||||
\(386\) | −1.58477e11 | + | 3.82598e11i | −0.363349 | + | 0.877203i | ||||
\(387\) | − | 8.66911e8i | − | 0.00196460i | ||||||
\(388\) | −7.03407e10 | − | 2.91361e10i | −0.157567 | − | 0.0652662i | ||||
\(389\) | −4.53778e10 | + | 4.53778e10i | −0.100478 | + | 0.100478i | −0.755559 | − | 0.655081i | \(-0.772635\pi\) |
0.655081 | + | 0.755559i | \(0.272635\pi\) | |||||||
\(390\) | −4.10899e10 | −0.0899381 | ||||||||
\(391\) | 4.56283e11 | − | 3.32374e9i | 0.987277 | − | 0.00719169i | ||||
\(392\) | −4.27388e11 | −0.914187 | ||||||||
\(393\) | −4.87139e11 | + | 4.87139e11i | −1.03012 | + | 1.03012i | ||||
\(394\) | 3.79878e11 | + | 1.57351e11i | 0.794166 | + | 0.328955i | ||||
\(395\) | 2.51902e11i | 0.520648i | ||||||||
\(396\) | −8.31503e8 | + | 2.00743e9i | −0.00169917 | + | 0.00410215i | ||||
\(397\) | −1.26626e11 | + | 5.24501e10i | −0.255838 | + | 0.105971i | −0.506916 | − | 0.861995i | \(-0.669215\pi\) |
0.251079 | + | 0.967967i | \(0.419215\pi\) | |||||||
\(398\) | −2.14029e11 | − | 5.16711e11i | −0.427561 | − | 1.03222i | ||||
\(399\) | 1.66067e11 | + | 1.66067e11i | 0.328024 | + | 0.328024i | ||||
\(400\) | −8.47566e9 | − | 8.47566e9i | −0.0165540 | − | 0.0165540i | ||||
\(401\) | −1.84954e11 | − | 4.46519e11i | −0.357202 | − | 0.862363i | −0.995691 | − | 0.0927318i | \(-0.970440\pi\) |
0.638489 | − | 0.769631i | \(-0.279560\pi\) | |||||||
\(402\) | 2.46454e11 | − | 1.02085e11i | 0.470672 | − | 0.194959i | ||||
\(403\) | 1.42329e10 | − | 3.43612e10i | 0.0268794 | − | 0.0648926i | ||||
\(404\) | 2.95331e11i | 0.551561i | ||||||||
\(405\) | 5.52866e11 | + | 2.29005e11i | 1.02111 | + | 0.422957i | ||||
\(406\) | 4.92252e10 | − | 4.92252e10i | 0.0899125 | − | 0.0899125i | ||||
\(407\) | 8.08748e10 | 0.146096 | ||||||||
\(408\) | −4.21314e9 | − | 5.78380e11i | −0.00752722 | − | 1.03334i | ||||
\(409\) | −2.08768e11 | −0.368900 | −0.184450 | − | 0.982842i | \(-0.559050\pi\) | ||||
−0.184450 | + | 0.982842i | \(0.559050\pi\) | |||||||
\(410\) | −4.73283e11 | + | 4.73283e11i | −0.827167 | + | 0.827167i | ||||
\(411\) | 4.03292e11 | + | 1.67049e11i | 0.697159 | + | 0.288773i | ||||
\(412\) | 3.23019e11i | 0.552319i | ||||||||
\(413\) | −9.07023e10 | + | 2.18975e11i | −0.153406 | + | 0.370355i | ||||
\(414\) | 1.62210e9 | − | 6.71896e8i | 0.00271379 | − | 0.00112409i | ||||
\(415\) | −4.63042e11 | − | 1.11788e12i | −0.766309 | − | 1.85003i | ||||
\(416\) | 5.12899e10 | + | 5.12899e10i | 0.0839676 | + | 0.0839676i | ||||
\(417\) | −2.80489e10 | − | 2.80489e10i | −0.0454259 | − | 0.0454259i | ||||
\(418\) | 3.74009e11 | + | 9.02938e11i | 0.599224 | + | 1.44665i | ||||
\(419\) | 1.66284e11 | − | 6.88770e10i | 0.263564 | − | 0.109172i | −0.246988 | − | 0.969018i | \(-0.579441\pi\) |
0.510553 | + | 0.859847i | \(0.329441\pi\) | |||||||
\(420\) | 5.13855e10 | − | 1.24056e11i | 0.0805785 | − | 0.194534i | ||||
\(421\) | 1.24378e12i | 1.92963i | 0.262937 | + | 0.964813i | \(0.415309\pi\) | ||||
−0.262937 | + | 0.964813i | \(0.584691\pi\) | |||||||
\(422\) | −5.07029e10 | − | 2.10018e10i | −0.0778263 | − | 0.0322367i | ||||
\(423\) | 7.72536e8 | − | 7.72536e8i | 0.00117324 | − | 0.00117324i | ||||
\(424\) | 6.48097e11 | 0.973853 | ||||||||
\(425\) | 5.51666e10 | + | 1.30487e11i | 0.0820211 | + | 0.194007i | ||||
\(426\) | −7.33925e11 | −1.07971 | ||||||||
\(427\) | −1.28521e11 | + | 1.28521e11i | −0.187089 | + | 0.187089i | ||||
\(428\) | 3.15128e11 | + | 1.30530e11i | 0.453931 | + | 0.188024i | ||||
\(429\) | − | 1.50892e11i | − | 0.215084i | ||||||
\(430\) | −8.53168e10 | + | 2.05973e11i | −0.120345 | + | 0.290538i | ||||
\(431\) | −7.85580e11 | + | 3.25398e11i | −1.09659 | + | 0.454221i | −0.856299 | − | 0.516481i | \(-0.827242\pi\) |
−0.240288 | + | 0.970702i | \(0.577242\pi\) | |||||||
\(432\) | 3.07199e10 | + | 7.41644e10i | 0.0424368 | + | 0.102452i | ||||
\(433\) | −4.88725e11 | − | 4.88725e11i | −0.668142 | − | 0.668142i | 0.289144 | − | 0.957286i | \(-0.406629\pi\) |
−0.957286 | + | 0.289144i | \(0.906629\pi\) | |||||||
\(434\) | −6.55852e10 | − | 6.55852e10i | −0.0887365 | − | 0.0887365i | ||||
\(435\) | −1.80936e11 | − | 4.36819e11i | −0.242283 | − | 0.584924i | ||||
\(436\) | −3.04297e11 | + | 1.26044e11i | −0.403282 | + | 0.167045i | ||||
\(437\) | −3.96021e11 | + | 9.56080e11i | −0.519460 | + | 1.25409i | ||||
\(438\) | − | 5.27095e11i | − | 0.684314i | ||||||
\(439\) | −1.83436e11 | − | 7.59816e10i | −0.235719 | − | 0.0976378i | 0.261697 | − | 0.965150i | \(-0.415718\pi\) |
−0.497416 | + | 0.867512i | \(0.665718\pi\) | |||||||
\(440\) | 1.09177e12 | − | 1.09177e12i | 1.38866 | − | 1.38866i | ||||
\(441\) | 3.18483e9 | 0.00400971 | ||||||||
\(442\) | 2.54834e10 | + | 6.02767e10i | 0.0317583 | + | 0.0751189i | ||||
\(443\) | 1.17901e12 | 1.45445 | 0.727227 | − | 0.686397i | \(-0.240809\pi\) | ||||
0.727227 | + | 0.686397i | \(0.240809\pi\) | |||||||
\(444\) | 2.77787e10 | − | 2.77787e10i | 0.0339225 | − | 0.0339225i | ||||
\(445\) | −4.03091e11 | − | 1.66966e11i | −0.487285 | − | 0.201840i | ||||
\(446\) | − | 1.88313e11i | − | 0.225359i | ||||||
\(447\) | −8.38591e10 | + | 2.02454e11i | −0.0993496 | + | 0.239851i | ||||
\(448\) | 1.96595e11 | − | 8.14322e10i | 0.230580 | − | 0.0955092i | ||||
\(449\) | 2.95767e10 | + | 7.14045e10i | 0.0343432 | + | 0.0829119i | 0.940121 | − | 0.340842i | \(-0.110712\pi\) |
−0.905777 | + | 0.423754i | \(0.860712\pi\) | |||||||
\(450\) | 3.85459e8 | + | 3.85459e8i | 0.000443120 | + | 0.000443120i | ||||
\(451\) | −1.73801e12 | − | 1.73801e12i | −1.97815 | − | 1.97815i | ||||
\(452\) | −1.52804e11 | − | 3.68901e11i | −0.172191 | − | 0.415707i | ||||
\(453\) | 1.08924e12 | − | 4.51178e11i | 1.21530 | − | 0.503392i | ||||
\(454\) | −2.52212e11 | + | 6.08893e11i | −0.278621 | + | 0.672651i | ||||
\(455\) | 4.19794e10i | 0.0459182i | ||||||||
\(456\) | 1.21192e12 | + | 5.01993e11i | 1.31260 | + | 0.543696i | ||||
\(457\) | 1.85350e11 | − | 1.85350e11i | 0.198778 | − | 0.198778i | −0.600698 | − | 0.799476i | \(-0.705110\pi\) |
0.799476 | + | 0.600698i | \(0.205110\pi\) | |||||||
\(458\) | 9.93851e11 | 1.05542 | ||||||||
\(459\) | −6.91113e9 | − | 9.48761e11i | −0.00726762 | − | 0.997700i | ||||
\(460\) | 5.91672e11 | 0.616128 | ||||||||
\(461\) | 5.55612e11 | − | 5.55612e11i | 0.572951 | − | 0.572951i | −0.360001 | − | 0.932952i | \(-0.617224\pi\) |
0.932952 | + | 0.360001i | \(0.117224\pi\) | |||||||
\(462\) | −3.47657e11 | − | 1.44004e11i | −0.355027 | − | 0.147057i | ||||
\(463\) | − | 1.23202e12i | − | 1.24596i | −0.782237 | − | 0.622981i | \(-0.785921\pi\) | ||
0.782237 | − | 0.622981i | \(-0.214079\pi\) | |||||||
\(464\) | 2.43815e10 | − | 5.88622e10i | 0.0244191 | − | 0.0589529i | ||||
\(465\) | −5.81996e11 | + | 2.41071e11i | −0.577273 | + | 0.239114i | ||||
\(466\) | 3.54747e11 | + | 8.56434e11i | 0.348483 | + | 0.841313i | ||||
\(467\) | −3.93738e10 | − | 3.93738e10i | −0.0383073 | − | 0.0383073i | 0.687694 | − | 0.726001i | \(-0.258623\pi\) |
−0.726001 | + | 0.687694i | \(0.758623\pi\) | |||||||
\(468\) | −2.33323e8 | − | 2.33323e8i | −0.000224828 | − | 0.000224828i | ||||
\(469\) | −1.04295e11 | − | 2.51790e11i | −0.0995369 | − | 0.240303i | ||||
\(470\) | −2.59579e11 | + | 1.07521e11i | −0.245374 | + | 0.101637i | ||||
\(471\) | −4.40315e11 | + | 1.06301e12i | −0.412258 | + | 0.995280i | ||||
\(472\) | 1.32385e12i | 1.22772i | ||||||||
\(473\) | −7.56385e11 | − | 3.13305e11i | −0.694812 | − | 0.287801i | ||||
\(474\) | 2.42473e11 | − | 2.42473e11i | 0.220628 | − | 0.220628i | ||||
\(475\) | −3.21299e11 | −0.289593 | ||||||||
\(476\) | −2.13852e11 | + | 1.55778e9i | −0.190933 | + | 0.00139083i | ||||
\(477\) | −4.82952e9 | −0.00427141 | ||||||||
\(478\) | −7.18710e11 | + | 7.18710e11i | −0.629692 | + | 0.629692i | ||||
\(479\) | 1.50881e12 | + | 6.24968e11i | 1.30955 | + | 0.542435i | 0.924754 | − | 0.380565i | \(-0.124270\pi\) |
0.384800 | + | 0.923000i | \(0.374270\pi\) | |||||||
\(480\) | − | 1.22857e12i | − | 1.05636i | ||||||
\(481\) | −4.70004e9 | + | 1.13469e10i | −0.00400358 | + | 0.00966550i | ||||
\(482\) | 8.52960e11 | − | 3.53307e11i | 0.719808 | − | 0.298154i | ||||
\(483\) | −1.52479e11 | − | 3.68118e11i | −0.127482 | − | 0.307769i | ||||
\(484\) | 9.66807e11 | + | 9.66807e11i | 0.800821 | + | 0.800821i | ||||
\(485\) | −2.85078e11 | − | 2.85078e11i | −0.233952 | − | 0.233952i | ||||
\(486\) | −2.80053e9 | − | 6.76107e9i | −0.00227707 | − | 0.00549734i | ||||
\(487\) | 6.43277e11 | − | 2.66454e11i | 0.518224 | − | 0.214656i | −0.108212 | − | 0.994128i | \(-0.534513\pi\) |
0.626437 | + | 0.779472i | \(0.284513\pi\) | |||||||
\(488\) | −3.88497e11 | + | 9.37914e11i | −0.310097 | + | 0.748641i | ||||
\(489\) | 1.29906e12i | 1.02740i | ||||||||
\(490\) | −7.56698e11 | − | 3.13434e11i | −0.592980 | − | 0.245620i | ||||
\(491\) | −5.22311e10 | + | 5.22311e10i | −0.0405567 | + | 0.0405567i | −0.727094 | − | 0.686538i | \(-0.759130\pi\) |
0.686538 | + | 0.727094i | \(0.259130\pi\) | |||||||
\(492\) | −1.19394e12 | −0.918624 | ||||||||
\(493\) | −5.28576e11 | + | 5.36333e11i | −0.402992 | + | 0.408906i | ||||
\(494\) | −1.48420e11 | −0.112129 | ||||||||
\(495\) | −8.13573e9 | + | 8.13573e9i | −0.00609078 | + | 0.00609078i | ||||
\(496\) | −7.84251e10 | − | 3.24847e10i | −0.0581818 | − | 0.0240997i | ||||
\(497\) | 7.49814e11i | 0.551251i | ||||||||
\(498\) | −6.30329e11 | + | 1.52175e12i | −0.459235 | + | 1.10869i | ||||
\(499\) | 4.08981e11 | − | 1.69406e11i | 0.295291 | − | 0.122314i | −0.230119 | − | 0.973162i | \(-0.573912\pi\) |
0.525411 | + | 0.850849i | \(0.323912\pi\) | |||||||
\(500\) | −2.63454e11 | − | 6.36033e11i | −0.188512 | − | 0.455108i | ||||
\(501\) | 1.06990e12 | + | 1.06990e12i | 0.758709 | + | 0.758709i | ||||
\(502\) | −9.18617e11 | − | 9.18617e11i | −0.645607 | − | 0.645607i | ||||
\(503\) | −2.93709e11 | − | 7.09076e11i | −0.204579 | − | 0.493898i | 0.787974 | − | 0.615708i | \(-0.211130\pi\) |
−0.992553 | + | 0.121810i | \(0.961130\pi\) | |||||||
\(504\) | −2.10067e9 | + | 8.70128e8i | −0.00145018 | + | 0.000600683i | ||||
\(505\) | −5.98462e11 | + | 1.44481e12i | −0.409473 | + | 0.988555i | ||||
\(506\) | − | 1.65812e12i | − | 1.12444i | ||||||
\(507\) | −1.35645e12 | − | 5.61862e11i | −0.911737 | − | 0.377654i | ||||
\(508\) | −3.36255e11 | + | 3.36255e11i | −0.224018 | + | 0.224018i | ||||
\(509\) | −1.23640e12 | −0.816452 | −0.408226 | − | 0.912881i | \(-0.633852\pi\) | ||||
−0.408226 | + | 0.912881i | \(0.633852\pi\) | |||||||
\(510\) | 4.16709e11 | − | 1.02712e12i | 0.272751 | − | 0.672289i | ||||
\(511\) | −5.38506e11 | −0.349379 | ||||||||
\(512\) | 2.43062e11 | − | 2.43062e11i | 0.156315 | − | 0.156315i | ||||
\(513\) | 1.98800e12 | + | 8.23457e11i | 1.26733 | + | 0.524944i | ||||
\(514\) | − | 3.46012e11i | − | 0.218654i | ||||||
\(515\) | −6.54568e11 | + | 1.58027e12i | −0.410036 | + | 0.989915i | ||||
\(516\) | −3.67414e11 | + | 1.52188e11i | −0.228156 | + | 0.0945053i | ||||
\(517\) | −3.94845e11 | − | 9.53239e11i | −0.243063 | − | 0.586806i | ||||
\(518\) | 2.16578e10 | + | 2.16578e10i | 0.0132169 | + | 0.0132169i | ||||
\(519\) | 1.64451e12 | + | 1.64451e12i | 0.994908 | + | 0.994908i | ||||
\(520\) | 8.97295e10 | + | 2.16626e11i | 0.0538171 | + | 0.129926i | ||||
\(521\) | −6.25988e11 | + | 2.59293e11i | −0.372217 | + | 0.154177i | −0.560947 | − | 0.827852i | \(-0.689563\pi\) |
0.188730 | + | 0.982029i | \(0.439563\pi\) | |||||||
\(522\) | −1.10883e9 | + | 2.67695e9i | −0.000653654 | + | 0.00157806i | ||||
\(523\) | − | 1.65170e12i | − | 0.965324i | −0.875807 | − | 0.482662i | \(-0.839670\pi\) | ||
0.875807 | − | 0.482662i | \(-0.160330\pi\) | |||||||
\(524\) | 1.31444e12 | + | 5.44461e11i | 0.761643 | + | 0.315483i | ||||
\(525\) | 8.74757e10 | − | 8.74757e10i | 0.0502540 | − | 0.0502540i | ||||
\(526\) | 3.78985e11 | 0.215867 | ||||||||
\(527\) | 7.14584e11 | + | 7.04249e11i | 0.403558 | + | 0.397721i | ||||
\(528\) | −3.44393e11 | −0.192842 | ||||||||
\(529\) | −3.21356e10 | + | 3.21356e10i | −0.0178417 | + | 0.0178417i | ||||
\(530\) | 1.14747e12 | + | 4.75296e11i | 0.631682 | + | 0.261651i | ||||
\(531\) | − | 9.86511e9i | − | 0.00538489i | ||||||
\(532\) | 1.85608e11 | − | 4.48098e11i | 0.100460 | − | 0.242533i | ||||
\(533\) | 3.44851e11 | − | 1.42842e11i | 0.185080 | − | 0.0766626i | ||||
\(534\) | 2.27287e11 | + | 5.48719e11i | 0.120959 | + | 0.292021i | ||||
\(535\) | 1.27715e12 | + | 1.27715e12i | 0.673987 | + | 0.673987i | ||||
\(536\) | −1.07638e12 | − | 1.07638e12i | −0.563281 | − | 0.563281i | ||||
\(537\) | −6.48708e11 | − | 1.56612e12i | −0.336639 | − | 0.812719i | ||||
\(538\) | −2.29043e11 | + | 9.48728e10i | −0.117868 | + | 0.0488227i | ||||
\(539\) | 1.15101e12 | − | 2.77878e12i | 0.587394 | − | 1.41809i | ||||
\(540\) | − | 1.23028e12i | − | 0.622633i | ||||||
\(541\) | −9.10224e10 | − | 3.77027e10i | −0.0456836 | − | 0.0189228i | 0.359725 | − | 0.933059i | \(-0.382871\pi\) |
−0.405408 | + | 0.914136i | \(0.632871\pi\) | |||||||
\(542\) | 7.95143e11 | − | 7.95143e11i | 0.395775 | − | 0.395775i | ||||
\(543\) | 2.88929e12 | 1.42624 | ||||||||
\(544\) | −1.80224e12 | + | 7.61941e11i | −0.882305 | + | 0.373015i | ||||
\(545\) | −1.74409e12 | −0.846809 | ||||||||
\(546\) | 4.04081e10 | − | 4.04081e10i | 0.0194582 | − | 0.0194582i | ||||
\(547\) | −1.46845e11 | − | 6.08251e10i | −0.0701319 | − | 0.0290496i | 0.347342 | − | 0.937739i | \(-0.387084\pi\) |
−0.417474 | + | 0.908689i | \(0.637084\pi\) | |||||||
\(548\) | − | 9.01495e11i | − | 0.427022i | ||||||
\(549\) | 2.89502e9 | − | 6.98919e9i | 0.00136012 | − | 0.00328361i | ||||
\(550\) | 4.75622e11 | − | 1.97009e11i | 0.221630 | − | 0.0918023i | ||||
\(551\) | −6.53555e11 | − | 1.57782e12i | −0.302065 | − | 0.729248i | ||||
\(552\) | −1.57368e12 | − | 1.57368e12i | −0.721423 | − | 0.721423i | ||||
\(553\) | −2.47722e11 | − | 2.47722e11i | −0.112642 | − | 0.112642i | ||||
\(554\) | 1.75876e11 | + | 4.24602e11i | 0.0793254 | + | 0.191509i | ||||
\(555\) | 1.92189e11 | − | 7.96073e10i | 0.0859826 | − | 0.0356151i | ||||
\(556\) | −3.13494e10 | + | 7.56842e10i | −0.0139121 | + | 0.0335868i | ||||
\(557\) | 2.80868e12i | 1.23639i | 0.786026 | + | 0.618194i | \(0.212135\pi\) | ||||
−0.786026 | + | 0.618194i | \(0.787865\pi\) | |||||||
\(558\) | 3.56664e9 | + | 1.47735e9i | 0.00155742 | + | 0.000645105i | ||||
\(559\) | 8.79145e10 | − | 8.79145e10i | 0.0380809 | − | 0.0380809i | ||||
\(560\) | 9.58128e10 | 0.0411697 | ||||||||
\(561\) | 3.77185e12 | + | 1.53026e12i | 1.60776 | + | 0.652277i | ||||
\(562\) | −8.78442e11 | −0.371449 | ||||||||
\(563\) | 2.12265e11 | − | 2.12265e11i | 0.0890412 | − | 0.0890412i | −0.661183 | − | 0.750224i | \(-0.729945\pi\) |
0.750224 | + | 0.661183i | \(0.229945\pi\) | |||||||
\(564\) | −4.63036e11 | − | 1.91796e11i | −0.192690 | − | 0.0798148i | ||||
\(565\) | − | 2.11437e12i | − | 0.872899i | ||||||
\(566\) | 1.04593e12 | − | 2.52509e12i | 0.428378 | − | 1.03420i | ||||
\(567\) | −7.68898e11 | + | 3.18488e11i | −0.312425 | + | 0.129410i | ||||
\(568\) | 1.60270e12 | + | 3.86926e12i | 0.646078 | + | 1.55977i | ||||
\(569\) | −3.03201e12 | − | 3.03201e12i | −1.21262 | − | 1.21262i | −0.970161 | − | 0.242461i | \(-0.922045\pi\) |
−0.242461 | − | 0.970161i | \(-0.577955\pi\) | |||||||
\(570\) | 1.77757e12 | + | 1.77757e12i | 0.705328 | + | 0.705328i | ||||
\(571\) | 6.42120e10 | + | 1.55021e11i | 0.0252786 | + | 0.0610280i | 0.936015 | − | 0.351961i | \(-0.114485\pi\) |
−0.910736 | + | 0.412989i | \(0.864485\pi\) | |||||||
\(572\) | −2.87900e11 | + | 1.19252e11i | −0.112450 | + | 0.0465782i | ||||
\(573\) | 1.75706e12 | − | 4.24193e12i | 0.680913 | − | 1.64387i | ||||
\(574\) | − | 9.30860e11i | − | 0.357916i | ||||||
\(575\) | 5.03614e11 | + | 2.08604e11i | 0.192129 | + | 0.0795824i | ||||
\(576\) | −6.26275e9 | + | 6.26275e9i | −0.00237063 | + | 0.00237063i | ||||
\(577\) | −7.33555e11 | −0.275513 | −0.137756 | − | 0.990466i | \(-0.543989\pi\) | ||||
−0.137756 | + | 0.990466i | \(0.543989\pi\) | |||||||
\(578\) | −1.76517e12 | + | 2.57177e10i | −0.657827 | + | 0.00958423i | ||||
\(579\) | −3.91165e12 | −1.44646 | ||||||||
\(580\) | −6.90446e11 | + | 6.90446e11i | −0.253340 | + | 0.253340i | ||||
\(581\) | 1.55469e12 | + | 6.43975e11i | 0.566047 | + | 0.234464i | ||||
\(582\) | 5.48815e11i | 0.198277i | ||||||||
\(583\) | −1.74541e12 | + | 4.21378e12i | −0.625731 | + | 1.51065i | ||||
\(584\) | −2.77885e12 | + | 1.15104e12i | −0.988570 | + | 0.409479i | ||||
\(585\) | −6.68651e8 | − | 1.61427e9i | −0.000236047 | − | 0.000569867i | ||||
\(586\) | 9.26610e11 | + | 9.26610e11i | 0.324607 | + | 0.324607i | ||||
\(587\) | 2.62755e12 | + | 2.62755e12i | 0.913439 | + | 0.913439i | 0.996541 | − | 0.0831023i | \(-0.0264828\pi\) |
−0.0831023 | + | 0.996541i | \(0.526483\pi\) | |||||||
\(588\) | −5.59103e11 | − | 1.34979e12i | −0.192883 | − | 0.465661i | ||||
\(589\) | −2.10221e12 | + | 8.70764e11i | −0.719710 | + | 0.298114i | ||||
\(590\) | −9.70873e11 | + | 2.34389e12i | −0.329859 | + | 0.796350i | ||||
\(591\) | 3.88384e12i | 1.30954i | ||||||||
\(592\) | 2.58979e10 | + | 1.07272e10i | 0.00866595 | + | 0.00358955i | ||||
\(593\) | −1.99919e11 | + | 1.99919e11i | −0.0663910 | + | 0.0663910i | −0.739523 | − | 0.673132i | \(-0.764949\pi\) |
0.673132 | + | 0.739523i | \(0.264949\pi\) | |||||||
\(594\) | −3.44777e12 | −1.13632 | ||||||||
\(595\) | −1.04936e12 | − | 4.25730e11i | −0.343240 | − | 0.139254i | ||||
\(596\) | 4.52553e11 | 0.146913 | ||||||||
\(597\) | 3.73551e12 | − | 3.73551e12i | 1.20355 | − | 1.20355i | ||||
\(598\) | 2.32637e11 | + | 9.63615e10i | 0.0743916 | + | 0.0308140i | ||||
\(599\) | 5.50565e12i | 1.74738i | 0.486482 | + | 0.873691i | \(0.338280\pi\) | ||||
−0.486482 | + | 0.873691i | \(0.661720\pi\) | |||||||
\(600\) | 2.64424e11 | − | 6.38376e11i | 0.0832953 | − | 0.201093i | ||||
\(601\) | 1.42529e12 | − | 5.90373e11i | 0.445622 | − | 0.184583i | −0.148577 | − | 0.988901i | \(-0.547469\pi\) |
0.594199 | + | 0.804318i | \(0.297469\pi\) | |||||||
\(602\) | −1.18654e11 | − | 2.86457e11i | −0.0368213 | − | 0.0888945i | ||||
\(603\) | 8.02104e9 | + | 8.02104e9i | 0.00247060 | + | 0.00247060i | ||||
\(604\) | −1.72168e12 | − | 1.72168e12i | −0.526364 | − | 0.526364i | ||||
\(605\) | 2.77065e12 | + | 6.68894e12i | 0.840780 | + | 2.02982i | ||||
\(606\) | 1.96680e12 | − | 8.14673e11i | 0.592424 | − | 0.245390i | ||||
\(607\) | 1.37442e12 | − | 3.31815e12i | 0.410933 | − | 0.992079i | −0.573955 | − | 0.818887i | \(-0.694592\pi\) |
0.984888 | − | 0.173192i | \(-0.0554083\pi\) | |||||||
\(608\) | − | 4.43767e12i | − | 1.31701i | ||||||
\(609\) | 6.07505e11 | + | 2.51637e11i | 0.178967 | + | 0.0741304i | ||||
\(610\) | −1.37568e12 | + | 1.37568e12i | −0.402284 | + | 0.402284i | ||||
\(611\) | 1.56688e11 | 0.0454830 | ||||||||
\(612\) | 8.19859e9 | − | 3.46615e9i | 0.00236242 | − | 0.000998771i | ||||
\(613\) | 5.79969e12 | 1.65895 | 0.829474 | − | 0.558546i | \(-0.188641\pi\) | ||||
0.829474 | + | 0.558546i | \(0.188641\pi\) | |||||||
\(614\) | −1.31649e12 | + | 1.31649e12i | −0.373818 | + | 0.373818i | ||||
\(615\) | −5.84095e12 | − | 2.41940e12i | −1.64644 | − | 0.681977i | ||||
\(616\) | 2.14732e12i | 0.600873i | ||||||||
\(617\) | 1.96784e12 | − | 4.75079e12i | 0.546647 | − | 1.31972i | −0.373311 | − | 0.927706i | \(-0.621778\pi\) |
0.919958 | − | 0.392017i | \(-0.128222\pi\) | |||||||
\(618\) | 2.15118e12 | − | 8.91049e11i | 0.593238 | − | 0.245727i | ||||
\(619\) | −6.35351e10 | − | 1.53387e11i | −0.0173943 | − | 0.0419934i | 0.914944 | − | 0.403581i | \(-0.132235\pi\) |
−0.932338 | + | 0.361588i | \(0.882235\pi\) | |||||||
\(620\) | 9.19916e11 | + | 9.19916e11i | 0.250026 | + | 0.250026i | ||||
\(621\) | −2.58142e12 | − | 2.58142e12i | −0.696541 | − | 0.696541i | ||||
\(622\) | 7.04379e11 | + | 1.70052e12i | 0.188690 | + | 0.455539i | ||||
\(623\) | 5.60599e11 | − | 2.32208e11i | 0.149093 | − | 0.0617561i | ||||
\(624\) | 2.00144e10 | − | 4.83189e10i | 0.00528459 | − | 0.0127581i | ||||
\(625\) | − | 4.44895e12i | − | 1.16627i | ||||||
\(626\) | 6.77347e11 | + | 2.80566e11i | 0.176290 | + | 0.0730216i | ||||
\(627\) | −6.52770e12 | + | 6.52770e12i | −1.68677 | + | 1.68677i | ||||
\(628\) | 2.37620e12 | 0.609627 | ||||||||
\(629\) | −2.35973e11 | − | 2.32560e11i | −0.0601083 | − | 0.0592389i | ||||
\(630\) | −4.35741e9 | −0.00110204 | ||||||||
\(631\) | 1.51720e12 | − | 1.51720e12i | 0.380986 | − | 0.380986i | −0.490471 | − | 0.871457i | \(-0.663175\pi\) |
0.871457 | + | 0.490471i | \(0.163175\pi\) | |||||||
\(632\) | −1.80782e12 | − | 7.48822e11i | −0.450741 | − | 0.186703i | ||||
\(633\) | − | 5.18382e11i | − | 0.128331i | ||||||
\(634\) | 1.67513e12 | − | 4.04411e12i | 0.411761 | − | 0.994080i | ||||
\(635\) | −2.32641e12 | + | 9.63631e11i | −0.567812 | + | 0.235195i | ||||
\(636\) | 8.47831e11 | + | 2.04685e12i | 0.205472 | + | 0.496053i | ||||
\(637\) | 3.22978e11 | + | 3.22978e11i | 0.0777222 | + | 0.0777222i | ||||
\(638\) | 1.93492e12 | + | 1.93492e12i | 0.462350 | + | 0.462350i | ||||
\(639\) | −1.19431e10 | − | 2.88331e10i | −0.00283376 | − | 0.00684129i | ||||
\(640\) | −2.02860e12 | + | 8.40272e11i | −0.477953 | + | 0.197975i | ||||
\(641\) | −2.43313e11 | + | 5.87409e11i | −0.0569251 | + | 0.137429i | −0.949783 | − | 0.312909i | \(-0.898697\pi\) |
0.892858 | + | 0.450338i | \(0.148697\pi\) | |||||||
\(642\) | − | 2.45870e12i | − | 0.571213i | ||||||
\(643\) | −4.03076e12 | − | 1.66959e12i | −0.929902 | − | 0.385178i | −0.134261 | − | 0.990946i | \(-0.542866\pi\) |
−0.795641 | + | 0.605768i | \(0.792866\pi\) | |||||||
\(644\) | −5.81856e11 | + | 5.81856e11i | −0.133300 | + | 0.133300i | ||||
\(645\) | −2.10585e12 | −0.479081 | ||||||||
\(646\) | 1.50518e12 | − | 3.71004e12i | 0.340050 | − | 0.838170i | ||||
\(647\) | 5.37030e12 | 1.20484 | 0.602419 | − | 0.798180i | \(-0.294204\pi\) | ||||
0.602419 | + | 0.798180i | \(0.294204\pi\) | |||||||
\(648\) | −3.28699e12 | + | 3.28699e12i | −0.732336 | + | 0.732336i | ||||
\(649\) | −8.60737e12 | − | 3.56529e12i | −1.90445 | − | 0.788848i | ||||
\(650\) | 7.81798e10i | 0.0171785i | ||||||||
\(651\) | 3.35269e11 | − | 8.09410e11i | 0.0731608 | − | 0.176626i | ||||
\(652\) | 2.47858e12 | − | 1.02666e12i | 0.537142 | − | 0.222492i | ||||
\(653\) | −7.31072e11 | − | 1.76496e12i | −0.157344 | − | 0.379862i | 0.825474 | − | 0.564441i | \(-0.190908\pi\) |
−0.982818 | + | 0.184578i | \(0.940908\pi\) | |||||||
\(654\) | 1.67881e12 | + | 1.67881e12i | 0.358841 | + | 0.358841i | ||||
\(655\) | 5.32720e12 | + | 5.32720e12i | 1.13087 | + | 1.13087i | ||||
\(656\) | −3.26019e11 | − | 7.87079e11i | −0.0687346 | − | 0.165940i | ||||
\(657\) | 2.07076e10 | − | 8.57736e9i | 0.00433596 | − | 0.00179601i | ||||
\(658\) | 1.49535e11 | − | 3.61009e11i | 0.0310976 | − | 0.0750762i | ||||
\(659\) | − | 4.74561e11i | − | 0.0980184i | −0.998798 | − | 0.0490092i | \(-0.984394\pi\) | ||
0.998798 | − | 0.0490092i | \(-0.0156064\pi\) | |||||||
\(660\) | 4.87633e12 | + | 2.01984e12i | 1.00033 | + | 0.414352i | ||||
\(661\) | 4.66928e12 | − | 4.66928e12i | 0.951356 | − | 0.951356i | −0.0475145 | − | 0.998871i | \(-0.515130\pi\) |
0.998871 | + | 0.0475145i | \(0.0151300\pi\) | |||||||
\(662\) | 4.57186e11 | 0.0925192 | ||||||||
\(663\) | −4.33899e11 | + | 4.40267e11i | −0.0872123 | + | 0.0884922i | ||||
\(664\) | 9.39915e12 | 1.87643 | ||||||||
\(665\) | 1.81606e12 | − | 1.81606e12i | 0.360108 | − | 0.360108i | ||||
\(666\) | −1.17779e9 | − | 4.87858e8i | −0.000231972 | − | 9.60857e-5i | ||||
\(667\) | 2.89744e12i | 0.566825i | ||||||||
\(668\) | 1.19580e12 | − | 2.88692e12i | 0.232362 | − | 0.560971i | ||||
\(669\) | 1.64334e12 | − | 6.80696e11i | 0.317184 | − | 0.131382i | ||||
\(670\) | −1.11636e12 | − | 2.69514e12i | −0.214027 | − | 0.516708i | ||||
\(671\) | −5.05184e12 | − | 5.05184e12i | −0.962051 | − | 0.962051i | ||||
\(672\) | 1.20818e12 | + | 1.20818e12i | 0.228545 | + | 0.228545i | ||||
\(673\) | 1.05048e12 | + | 2.53609e12i | 0.197388 | + | 0.476537i | 0.991320 | − | 0.131469i | \(-0.0419695\pi\) |
−0.793932 | + | 0.608006i | \(0.791969\pi\) | |||||||
\(674\) | −5.87974e12 | + | 2.43547e12i | −1.09746 | + | 0.454583i | ||||
\(675\) | 4.33755e11 | − | 1.04718e12i | 0.0804225 | − | 0.194157i | ||||
\(676\) | 3.03214e12i | 0.558455i | ||||||||
\(677\) | −1.06996e12 | − | 4.43192e11i | −0.195758 | − | 0.0810855i | 0.282651 | − | 0.959223i | \(-0.408786\pi\) |
−0.478409 | + | 0.878137i | \(0.658786\pi\) | |||||||
\(678\) | −2.03523e12 | + | 2.03523e12i | −0.369897 | + | 0.369897i | ||||
\(679\) | 5.60696e11 | 0.101231 | ||||||||
\(680\) | −6.32498e12 | + | 4.60735e10i | −1.13441 | + | 0.00826345i | ||||
\(681\) | −6.22527e12 | −1.10917 | ||||||||
\(682\) | 2.57800e12 | − | 2.57800e12i | 0.456302 | − | 0.456302i | ||||
\(683\) | −5.65216e12 | − | 2.34120e12i | −0.993852 | − | 0.411667i | −0.174313 | − | 0.984690i | \(-0.555770\pi\) |
−0.819539 | + | 0.573023i | \(0.805770\pi\) | |||||||
\(684\) | 2.01874e10i | 0.00352637i | ||||||||
\(685\) | 1.82680e12 | − | 4.41027e12i | 0.317017 | − | 0.765346i | ||||
\(686\) | 2.23927e12 | − | 9.27535e11i | 0.386054 | − | 0.159909i | ||||
\(687\) | 3.59247e12 | + | 8.67300e12i | 0.615302 | + | 1.48547i | ||||
\(688\) | −2.00654e11 | − | 2.00654e11i | −0.0341428 | − | 0.0341428i | ||||
\(689\) | −4.89768e11 | − | 4.89768e11i | −0.0827949 | − | 0.0827949i | ||||
\(690\) | −1.63213e12 | − | 3.94032e12i | −0.274116 | − | 0.661775i | ||||
\(691\) | 2.20254e12 | − | 9.12323e11i | 0.367513 | − | 0.152229i | −0.191281 | − | 0.981535i | \(-0.561264\pi\) |
0.558794 | + | 0.829306i | \(0.311264\pi\) | |||||||
\(692\) | 1.83802e12 | − | 4.43737e12i | 0.304700 | − | 0.735610i | ||||
\(693\) | − | 1.60015e10i | − | 0.00263549i | ||||||
\(694\) | −1.80645e12 | − | 7.48257e11i | −0.295603 | − | 0.122443i | ||||
\(695\) | −3.06734e11 | + | 3.06734e11i | −0.0498690 | + | 0.0498690i | ||||
\(696\) | 3.67277e12 | 0.593270 | ||||||||
\(697\) | 7.33453e10 | + | 1.00689e13i | 0.0117713 | + | 1.61597i | ||||
\(698\) | 2.83579e12 | 0.452194 | ||||||||
\(699\) | −6.19150e12 | + | 6.19150e12i | −0.980954 | + | 0.980954i | ||||
\(700\) | −2.36035e11 | − | 9.77689e10i | −0.0371565 | − | 0.0153907i | ||||
\(701\) | 3.30170e12i | 0.516424i | 0.966088 | + | 0.258212i | \(0.0831334\pi\) | ||||
−0.966088 | + | 0.258212i | \(0.916867\pi\) | |||||||
\(702\) | 2.00367e11 | − | 4.83728e11i | 0.0311393 | − | 0.0751769i | ||||
\(703\) | 6.94201e11 | − | 2.87548e11i | 0.107198 | − | 0.0444028i | ||||
\(704\) | 3.20090e12 | + | 7.72766e12i | 0.491129 | + | 1.18569i | ||||
\(705\) | −1.87660e12 | − | 1.87660e12i | −0.286102 | − | 0.286102i | ||||
\(706\) | 5.48156e11 | + | 5.48156e11i | 0.0830391 | + | 0.0830391i | ||||
\(707\) | −8.32310e11 | − | 2.00937e12i | −0.125285 | − | 0.302464i | ||||
\(708\) | −4.18103e12 | + | 1.73184e12i | −0.625365 | + | 0.259035i | ||||
\(709\) | −2.48788e12 | + | 6.00628e12i | −0.369762 | + | 0.892684i | 0.624027 | + | 0.781403i | \(0.285495\pi\) |
−0.993789 | + | 0.111281i | \(0.964505\pi\) | |||||||
\(710\) | 8.02597e12i | 1.18532i | ||||||||
\(711\) | 1.34716e10 | + | 5.58011e9i | 0.00197699 | + | 0.000818897i | ||||
\(712\) | 2.39652e12 | − | 2.39652e12i | 0.349479 | − | 0.349479i | ||||
\(713\) | 3.86041e12 | 0.559411 | ||||||||
\(714\) | 6.00286e11 | + | 1.41988e12i | 0.0864403 | + | 0.204460i | ||||
\(715\) | −1.65011e12 | −0.236122 | ||||||||
\(716\) | −2.47544e12 | + | 2.47544e12i | −0.352002 | + | 0.352002i | ||||
\(717\) | −8.86985e12 | − | 3.67401e12i | −1.25337 | − | 0.519164i | ||||
\(718\) | 9.15875e12i | 1.28610i | ||||||||
\(719\) | −9.07004e11 | + | 2.18970e12i | −0.126570 | + | 0.305566i | −0.974444 | − | 0.224631i | \(-0.927882\pi\) |
0.847874 | + | 0.530197i | \(0.177882\pi\) | |||||||
\(720\) | −3.68436e9 | + | 1.52611e9i | −0.000510935 | + | 0.000211636i | ||||
\(721\) | −9.10340e11 | − | 2.19775e12i | −0.125457 | − | 0.302880i | ||||
\(722\) | 3.02400e12 | + | 3.02400e12i | 0.414157 | + | 0.414157i | ||||
\(723\) | 6.16638e12 | + | 6.16638e12i | 0.839283 | + | 0.839283i | ||||
\(724\) | −2.28344e12 | − | 5.51270e12i | −0.308863 | − | 0.745660i | ||||
\(725\) | −8.31115e11 | + | 3.44259e11i | −0.111722 | + | 0.0462769i | ||||
\(726\) | 3.77163e12 | − | 9.10551e12i | 0.503865 | − | 1.21644i | ||||
\(727\) | − | 6.84668e12i | − | 0.909023i | −0.890741 | − | 0.454512i | \(-0.849814\pi\) | ||
0.890741 | − | 0.454512i | \(-0.150186\pi\) | |||||||
\(728\) | −3.01273e11 | − | 1.24791e11i | −0.0397529 | − | 0.0164662i | ||||
\(729\) | −5.36751e12 | + | 5.36751e12i | −0.703880 | + | 0.703880i | ||||
\(730\) | −5.76414e12 | −0.751246 | ||||||||
\(731\) | 1.30602e12 | + | 3.08917e12i | 0.169169 | + | 0.400142i | ||||
\(732\) | −3.47039e12 | −0.446764 | ||||||||
\(733\) | 8.62793e12 | − | 8.62793e12i | 1.10392 | − | 1.10392i | 0.109991 | − | 0.993933i | \(-0.464918\pi\) |
0.993933 | − | 0.109991i | \(-0.0350821\pi\) | |||||||
\(734\) | −7.70230e12 | − | 3.19040e12i | −0.979463 | − | 0.405707i | ||||
\(735\) | − | 7.73641e12i | − | 0.977792i | ||||||
\(736\) | −2.88116e12 | + | 6.95574e12i | −0.361924 | + | 0.873762i | ||||
\(737\) | 9.89724e12 | − | 4.09957e12i | 1.23569 | − | 0.511841i | ||||
\(738\) | 1.48268e10 | + | 3.57951e10i | 0.00183990 | + | 0.00444191i | ||||
\(739\) | −4.53771e12 | − | 4.53771e12i | −0.559676 | − | 0.559676i | 0.369539 | − | 0.929215i | \(-0.379516\pi\) |
−0.929215 | + | 0.369539i | \(0.879516\pi\) | |||||||
\(740\) | −3.03779e11 | − | 3.03779e11i | −0.0372404 | − | 0.0372404i | ||||
\(741\) | −5.36492e11 | − | 1.29521e12i | −0.0653704 | − | 0.157818i | ||||
\(742\) | −1.59584e12 | + | 6.61018e11i | −0.193273 | + | 0.0800563i | ||||
\(743\) | 7.16314e10 | − | 1.72933e11i | 0.00862291 | − | 0.0208175i | −0.919509 | − | 0.393068i | \(-0.871414\pi\) |
0.928132 | + | 0.372250i | \(0.121414\pi\) | |||||||
\(744\) | − | 4.89342e12i | − | 0.585510i | ||||||
\(745\) | 2.21397e12 | + | 9.17056e11i | 0.263311 | + | 0.109067i | ||||
\(746\) | −2.11387e11 | + | 2.11387e11i | −0.0249893 | + | 0.0249893i | ||||
\(747\) | −7.00411e10 | −0.00823019 | ||||||||
\(748\) | −6.12324e10 | − | 8.40600e12i | −0.00715195 | − | 0.981821i | ||||
\(749\) | −2.51193e12 | −0.291635 | ||||||||
\(750\) | −3.50900e12 | + | 3.50900e12i | −0.404956 | + | 0.404956i | ||||
\(751\) | 1.36617e13 | + | 5.65886e12i | 1.56720 | + | 0.649156i | 0.986321 | − | 0.164834i | \(-0.0527087\pi\) |
0.580880 | + | 0.813989i | \(0.302709\pi\) | |||||||
\(752\) | − | 3.57620e11i | − | 0.0407795i | ||||||
\(753\) | 4.69593e12 | − | 1.13370e13i | 0.532285 | − | 1.28505i | ||||
\(754\) | −3.83921e11 | + | 1.59025e11i | −0.0432585 | + | 0.0179183i | ||||
\(755\) | −4.93394e12 | − | 1.19116e13i | −0.552628 | − | 1.33416i | ||||
\(756\) | 1.20987e12 | + | 1.20987e12i | 0.134707 | + | 0.134707i | ||||
\(757\) | 1.00156e13 | + | 1.00156e13i | 1.10853 | + | 1.10853i | 0.993344 | + | 0.115185i | \(0.0367461\pi\) |
0.115185 | + | 0.993344i | \(0.463254\pi\) | |||||||
\(758\) | 1.26675e11 | + | 3.05820e11i | 0.0139373 | + | 0.0336477i | ||||
\(759\) | 1.44698e13 | − | 5.99360e12i | 1.58261 | − | 0.655541i | ||||
\(760\) | 5.48964e12 | − | 1.32532e13i | 0.596874 | − | 1.44098i | ||||
\(761\) | − | 1.94664e12i | − | 0.210404i | −0.994451 | − | 0.105202i | \(-0.966451\pi\) | ||
0.994451 | − | 0.105202i | \(-0.0335490\pi\) | |||||||
\(762\) | 3.16689e12 | + | 1.31177e12i | 0.340280 | + | 0.140949i | ||||
\(763\) | 1.71516e12 | − | 1.71516e12i | 0.183208 | − | 0.183208i | ||||
\(764\) | −9.48215e12 | −1.00690 | ||||||||
\(765\) | 4.71328e10 | − | 3.43333e8i | 0.00497562 | − | 3.62443e-5i | ||||
\(766\) | −1.57632e12 | −0.165430 | ||||||||
\(767\) | 1.00043e12 | − | 1.00043e12i | 0.104378 | − | 0.104378i | ||||
\(768\) | 9.37979e12 | + | 3.88524e12i | 0.972899 | + | 0.402988i | ||||
\(769\) | 9.54772e12i | 0.984535i | 0.870444 | + | 0.492267i | \(0.163832\pi\) | ||||
−0.870444 | + | 0.492267i | \(0.836168\pi\) | |||||||
\(770\) | −1.57478e12 | + | 3.80186e12i | −0.161441 | + | 0.389752i | ||||
\(771\) | 3.01953e12 | − | 1.25073e12i | 0.307747 | − | 0.127473i | ||||
\(772\) | 3.09142e12 | + | 7.46335e12i | 0.313242 | + | 0.756234i | ||||
\(773\) | 4.34703e12 | + | 4.34703e12i | 0.437910 | + | 0.437910i | 0.891308 | − | 0.453398i | \(-0.149788\pi\) |
−0.453398 | + | 0.891308i | \(0.649788\pi\) | |||||||
\(774\) | 9.12541e9 | + | 9.12541e9i | 0.000913941 | + | 0.000913941i | ||||
\(775\) | 4.58674e11 | + | 1.10734e12i | 0.0456716 | + | 0.110261i | ||||
\(776\) | 2.89336e12 | − | 1.19847e12i | 0.286434 | − | 0.118645i | ||||
\(777\) | −1.10714e11 | + | 2.67287e11i | −0.0108970 | + | 0.0263077i | ||||
\(778\) | − | 9.55327e11i | − | 0.0934854i | ||||||
\(779\) | −2.10979e13 | − | 8.73905e12i | −2.05268 | − | 0.850248i | ||||
\(780\) | −5.66775e11 | + | 5.66775e11i | −0.0548258 | + | 0.0548258i | ||||
\(781\) | −2.94734e13 | −2.83465 | ||||||||
\(782\) | −4.76801e12 | + | 4.83799e12i | −0.455939 | + | 0.462630i | ||||
\(783\) | 6.02473e12 | 0.572808 | ||||||||
\(784\) | 7.37156e11 | − | 7.37156e11i | 0.0696847 | − | 0.0696847i | ||||
\(785\) | 1.16248e13 | + | 4.81514e12i | 1.09263 | + | 0.452581i | ||||
\(786\) | − | 1.02556e13i | − | 0.958429i | ||||||
\(787\) | −3.63852e12 | + | 8.78417e12i | −0.338095 | + | 0.816234i | 0.659804 | + | 0.751438i | \(0.270639\pi\) |
−0.997899 | + | 0.0647954i | \(0.979361\pi\) | |||||||
\(788\) | 7.41030e12 | − | 3.06945e12i | 0.684649 | − | 0.283591i | ||||
\(789\) | 1.36992e12 | + | 3.30727e12i | 0.125848 | + | 0.303825i | ||||
\(790\) | −2.65160e12 | − | 2.65160e12i | −0.242207 | − | 0.242207i | ||||
\(791\) | 2.07929e12 | + | 2.07929e12i | 0.188852 | + | 0.188852i | ||||
\(792\) | −3.42026e10 | − | 8.25724e10i | −0.00308884 | − | 0.00745713i | ||||
\(793\) | 1.00237e12 | − | 4.15195e11i | 0.0900117 | − | 0.0372841i | ||||
\(794\) | 7.80799e11 | − | 1.88501e12i | 0.0697183 | − | 0.168315i | ||||
\(795\) | 1.17316e13i | 1.04161i | ||||||||
\(796\) | −1.00795e13 | − | 4.17507e12i | −0.889877 | − | 0.368599i | ||||
\(797\) | −3.23160e12 | + | 3.23160e12i | −0.283697 | + | 0.283697i | −0.834581 | − | 0.550885i | \(-0.814290\pi\) |
0.550885 | + | 0.834581i | \(0.314290\pi\) | |||||||
\(798\) | −3.49616e12 | −0.305196 | ||||||||
\(799\) | −1.58903e12 | + | 3.91672e12i | −0.137934 | + | 0.339987i | ||||
\(800\) | −2.33754e12 | −0.201769 | ||||||||
\(801\) | −1.78585e10 | + | 1.78585e10i | −0.00153285 | + | 0.00153285i | ||||
\(802\) | 6.64711e12 | + | 2.75332e12i | 0.567346 | + | 0.235003i | ||||
\(803\) | − | 2.11674e13i | − | 1.79658i | ||||||
\(804\) | 1.99137e12 | − | 4.80759e12i | 0.168073 | − | 0.405765i | ||||
\(805\) | −4.02562e12 | + | 1.66747e12i | −0.337871 | + | 0.139951i | ||||
\(806\) | 2.11878e11 | + | 5.11518e11i | 0.0176839 | + | 0.0426927i | ||||
\(807\) | −1.65584e12 | − | 1.65584e12i | −0.137432 | − | 0.137432i | ||||
\(808\) | −8.58993e12 | − | 8.58993e12i | −0.708988 | − | 0.708988i | ||||
\(809\) | 4.13814e12 | + | 9.99036e12i | 0.339654 | + | 0.819998i | 0.997749 | + | 0.0670628i | \(0.0213628\pi\) |
−0.658094 | + | 0.752935i | \(0.728637\pi\) | |||||||
\(810\) | −8.23025e12 | + | 3.40908e12i | −0.671785 | + | 0.278262i | ||||
\(811\) | −6.37873e12 | + | 1.53996e13i | −0.517774 | + | 1.25002i | 0.421494 | + | 0.906831i | \(0.361506\pi\) |
−0.939268 | + | 0.343185i | \(0.888494\pi\) | |||||||
\(812\) | − | 1.35798e12i | − | 0.109620i | ||||||
\(813\) | 9.81314e12 | + | 4.06473e12i | 0.787772 | + | 0.326306i | ||||
\(814\) | −8.51317e11 | + | 8.51317e11i | −0.0679644 | + | 0.0679644i | ||||
\(815\) | 1.42061e13 | 1.12789 | ||||||||
\(816\) | 1.00485e12 | + | 9.90320e11i | 0.0793409 | + | 0.0781934i | ||||
\(817\) | −7.60648e12 | −0.597289 | ||||||||
\(818\) | 2.19756e12 | − | 2.19756e12i | 0.171614 | − | 0.171614i | ||||
\(819\) | 2.24504e9 | + | 9.29926e8i | 0.000174360 | + | 7.22222e-5i | ||||
\(820\) | 1.30565e13i | 1.00847i | ||||||||
\(821\) | −2.69613e12 | + | 6.50904e12i | −0.207108 | + | 0.500003i | −0.992965 | − | 0.118405i | \(-0.962222\pi\) |
0.785857 | + | 0.618408i | \(0.212222\pi\) | |||||||
\(822\) | −6.00362e12 | + | 2.48678e12i | −0.458659 | + | 0.189983i | ||||
\(823\) | 1.58136e12 | + | 3.81774e12i | 0.120152 | + | 0.290073i | 0.972500 | − | 0.232902i | \(-0.0748221\pi\) |
−0.852348 | + | 0.522975i | \(0.824822\pi\) | |||||||
\(824\) | −9.39524e12 | − | 9.39524e12i | −0.709963 | − | 0.709963i | ||||
\(825\) | 3.43846e12 | + | 3.43846e12i | 0.258417 | + | 0.258417i | ||||
\(826\) | −1.35024e12 | − | 3.25977e12i | −0.100926 | − | 0.243656i | ||||
\(827\) | −3.58277e12 | + | 1.48403e12i | −0.266345 | + | 0.110324i | −0.511859 | − | 0.859069i | \(-0.671043\pi\) |
0.245515 | + | 0.969393i | \(0.421043\pi\) | |||||||
\(828\) | 1.31067e10 | − | 3.16424e10i | 0.000969074 | − | 0.00233955i | ||||
\(829\) | 2.77616e12i | 0.204150i | 0.994777 | + | 0.102075i | \(0.0325482\pi\) | ||||
−0.994777 | + | 0.102075i | \(0.967452\pi\) | |||||||
\(830\) | 1.66414e13 | + | 6.89308e12i | 1.21713 | + | 0.504152i | ||||
\(831\) | −3.06962e12 | + | 3.06962e12i | −0.223295 | + | 0.223295i | ||||
\(832\) | −1.27023e12 | −0.0919023 | ||||||||
\(833\) | −1.13489e13 | + | 4.79802e12i | −0.816680 | + | 0.345271i | ||||
\(834\) | 5.90506e11 | 0.0422646 | ||||||||
\(835\) | 1.17001e13 | − | 1.17001e13i | 0.832917 | − | 0.832917i | ||||
\(836\) | 1.76136e13 | + | 7.29581e12i | 1.24716 | + | 0.516589i | ||||
\(837\) | − | 8.02705e12i | − | 0.565316i | ||||||
\(838\) | −1.02534e12 | + | 2.47539e12i | −0.0718239 | + | 0.173398i | ||||
\(839\) | 1.02203e13 | − | 4.23338e12i | 0.712089 | − | 0.294957i | 0.00292037 | − | 0.999996i | \(-0.499070\pi\) |
0.709169 | + | 0.705039i | \(0.249070\pi\) | |||||||
\(840\) | 2.11366e12 | + | 5.10284e12i | 0.146480 | + | 0.353635i | ||||
\(841\) | 6.87696e12 | + | 6.87696e12i | 0.474040 | + | 0.474040i | ||||
\(842\) | −1.30924e13 | − | 1.30924e13i | −0.897669 | − | 0.897669i | ||||
\(843\) | −3.17530e12 | − | 7.66586e12i | −0.216551 | − | 0.522801i | ||||
\(844\) | −9.89062e11 | + | 4.09683e11i | −0.0670938 | + | 0.0277912i | ||||
\(845\) | −6.14434e12 | + | 1.48338e13i | −0.414591 | + | 1.00091i | ||||
\(846\) | 1.62640e10i | 0.00109159i | ||||||||
\(847\) | −9.30264e12 | − | 3.85328e12i | −0.621056 | − | 0.257250i | ||||
\(848\) | −1.11783e12 | + | 1.11783e12i | −0.0742328 | + | 0.0742328i | ||||
\(849\) | 2.58163e13 | 1.70533 | ||||||||
\(850\) | −1.95426e12 | − | 7.92852e11i | −0.128409 | − | 0.0520963i | ||||
\(851\) | −1.27480e12 | −0.0833220 | ||||||||
\(852\) | −1.01234e13 | + | 1.01234e13i | −0.658187 | + | 0.658187i | ||||
\(853\) | −2.31408e13 | − | 9.58524e12i | −1.49661 | − | 0.619915i | −0.523865 | − | 0.851802i | \(-0.675510\pi\) |
−0.972743 | + | 0.231886i | \(0.925510\pi\) | |||||||
\(854\) | − | 2.70571e12i | − | 0.174069i | ||||||
\(855\) | −4.09079e10 | + | 9.87605e10i | −0.00261794 | + | 0.00632027i | ||||
\(856\) | −1.29623e13 | + | 5.36916e12i | −0.825183 | + | 0.341802i | ||||
\(857\) | −8.16149e11 | − | 1.97036e12i | −0.0516840 | − | 0.124776i | 0.895929 | − | 0.444198i | \(-0.146511\pi\) |
−0.947613 | + | 0.319422i | \(0.896511\pi\) | |||||||
\(858\) | 1.58835e12 | + | 1.58835e12i | 0.100058 | + | 0.100058i | ||||
\(859\) | 3.38081e11 | + | 3.38081e11i | 0.0211861 | + | 0.0211861i | 0.717620 | − | 0.696434i | \(-0.245231\pi\) |
−0.696434 | + | 0.717620i | \(0.745231\pi\) | |||||||
\(860\) | 1.66428e12 | + | 4.01792e12i | 0.103749 | + | 0.250472i | ||||
\(861\) | 8.12330e12 | − | 3.36478e12i | 0.503754 | − | 0.208662i | ||||
\(862\) | 4.84404e12 | − | 1.16946e13i | 0.298831 | − | 0.721441i | ||||
\(863\) | 8.51279e12i | 0.522424i | 0.965281 | + | 0.261212i | \(0.0841222\pi\) | ||||
−0.965281 | + | 0.261212i | \(0.915878\pi\) | |||||||
\(864\) | 1.44632e13 | + | 5.99087e12i | 0.882986 | + | 0.365745i | ||||
\(865\) | 1.79838e13 | − | 1.79838e13i | 1.09222 | − | 1.09222i | ||||
\(866\) | 1.02890e13 | 0.621644 | ||||||||
\(867\) | −6.60500e12 | − | 1.53111e13i | −0.396996 | − | 0.920280i | ||||
\(868\) | −1.80931e12 | −0.108187 | ||||||||
\(869\) | 9.73736e12 | − | 9.73736e12i | 0.579231 | − | 0.579231i | ||||
\(870\) | 6.50271e12 | + | 2.69351e12i | 0.384820 | + | 0.159398i | ||||
\(871\) | 1.62685e12i | 0.0957779i | ||||||||
\(872\) | 5.18463e12 | − | 1.25168e13i | 0.303664 | − | 0.733110i | ||||
\(873\) | −2.15609e10 | + | 8.93081e9i | −0.00125633 | + | 0.000520387i | ||||
\(874\) | −5.89538e12 | − | 1.42327e13i | −0.341751 | − | 0.825061i | ||||
\(875\) | 3.58497e12 | + | 3.58497e12i | 0.206752 | + | 0.206752i | ||||
\(876\) | −7.27051e12 | − | 7.27051e12i | −0.417154 | − | 0.417154i | ||||
\(877\) | −7.21921e12 | − | 1.74287e13i | −0.412089 | − | 0.994872i | −0.984576 | − | 0.174958i | \(-0.944021\pi\) |
0.572487 | − | 0.819914i | \(-0.305979\pi\) | |||||||
\(878\) | 2.73072e12 | − | 1.13110e12i | 0.155079 | − | 0.0642357i | ||||
\(879\) | −4.73679e12 | + | 1.14356e13i | −0.267630 | + | 0.646115i | ||||
\(880\) | 3.76617e12i | 0.211703i | ||||||||
\(881\) | 2.76905e12 | + | 1.14698e12i | 0.154860 | + | 0.0641450i | 0.458767 | − | 0.888557i | \(-0.348291\pi\) |
−0.303907 | + | 0.952702i | \(0.598291\pi\) | |||||||
\(882\) | −3.35247e10 | + | 3.35247e10i | −0.00186533 | + | 0.00186533i | ||||
\(883\) | 9.35302e12 | 0.517760 | 0.258880 | − | 0.965909i | \(-0.416647\pi\) | ||||
0.258880 | + | 0.965909i | \(0.416647\pi\) | |||||||
\(884\) | 1.18294e12 | + | 4.79923e11i | 0.0651518 | + | 0.0264324i | ||||
\(885\) | −2.39638e13 | −1.31314 | ||||||||
\(886\) | −1.24107e13 | + | 1.24107e13i | −0.676617 | + | 0.676617i | ||||
\(887\) | 9.26070e12 | + | 3.83591e12i | 0.502328 | + | 0.208071i | 0.619435 | − | 0.785048i | \(-0.287362\pi\) |
−0.117107 | + | 0.993119i | \(0.537362\pi\) | |||||||
\(888\) | 1.61593e12i | 0.0872094i | ||||||||
\(889\) | 1.34017e12 | − | 3.23546e12i | 0.0719618 | − | 0.173731i | ||||
\(890\) | 6.00062e12 | − | 2.48554e12i | 0.320583 | − | 0.132790i | ||||
\(891\) | −1.25190e13 | − | 3.02235e13i | −0.665457 | − | 1.60655i | ||||
\(892\) | −2.59751e12 | − | 2.59751e12i | −0.137377 | − | 0.137377i | ||||
\(893\) | −6.77842e12 | − | 6.77842e12i | −0.356695 | − | 0.356695i | ||||
\(894\) | −1.24837e12 | − | 3.01383e12i | −0.0653618 | − | 0.157797i | ||||
\(895\) | −1.71266e13 | + | 7.09406e12i | −0.892210 | + | 0.369565i | ||||
\(896\) | 1.16861e12 | − | 2.82127e12i | 0.0605735 | − | 0.146237i | ||||
\(897\) | 2.37846e12i | 0.122668i | ||||||||
\(898\) | −1.06296e12 | − | 4.40294e11i | −0.0545475 | − | 0.0225943i | ||||
\(899\) | −4.50487e12 | + | 4.50487e12i | −0.230019 | + | 0.230019i | ||||
\(900\) | 1.06337e10 | 0.000540248 | ||||||||
\(901\) | 1.72096e13 | − | 7.27578e12i | 0.869982 | − | 0.367805i | ||||
\(902\) | 3.65899e13 | 1.84048 | ||||||||
\(903\) | 2.07091e12 | − | 2.07091e12i | 0.103649 | − | 0.103649i | ||||
\(904\) | 1.51742e13 | + | 6.28535e12i | 0.755697 | + | 0.313020i | ||||
\(905\) | − | 3.15963e13i | − | 1.56573i | ||||||
\(906\) | −6.71647e12 | + | 1.62150e13i | −0.331180 | + | 0.799540i | ||||
\(907\) | −9.21854e12 | + | 3.81845e12i | −0.452303 | + | 0.187350i | −0.597193 | − | 0.802098i | \(-0.703717\pi\) |
0.144890 | + | 0.989448i | \(0.453717\pi\) | |||||||
\(908\) | 4.91991e12 | + | 1.18777e13i | 0.240199 | + | 0.579891i | ||||
\(909\) | 6.40109e10 | + | 6.40109e10i | 0.00310969 | + | 0.00310969i | ||||
\(910\) | −4.41890e11 | − | 4.41890e11i | −0.0213613 | − | 0.0213613i | ||||
\(911\) | 7.92028e12 | + | 1.91213e13i | 0.380985 | + | 0.919780i | 0.991776 | + | 0.127987i | \(0.0408517\pi\) |
−0.610791 | + | 0.791792i | \(0.709148\pi\) | |||||||
\(912\) | −2.95615e12 | + | 1.22448e12i | −0.141498 | + | 0.0586102i | ||||
\(913\) | −2.53131e13 | + | 6.11112e13i | −1.20567 | + | 2.91073i | ||||
\(914\) | 3.90212e12i | 0.184945i | ||||||||
\(915\) | −1.69777e13 | − | 7.03241e12i | −0.800728 | − | 0.331673i | ||||
\(916\) | 1.37087e13 | − | 1.37087e13i | 0.643381 | − | 0.643381i | ||||
\(917\) | −1.04776e13 | −0.489329 | ||||||||
\(918\) | 1.00597e13 | + | 9.91425e12i | 0.467514 | + | 0.460753i | ||||
\(919\) | 1.75832e13 | 0.813164 | 0.406582 | − | 0.913614i | \(-0.366721\pi\) | ||||
0.406582 | + | 0.913614i | \(0.366721\pi\) | |||||||
\(920\) | −1.72092e13 | + | 1.72092e13i | −0.791984 | + | 0.791984i | ||||
\(921\) | −1.62473e13 | − | 6.72984e12i | −0.744067 | − | 0.308203i | ||||
\(922\) | 1.16971e13i | 0.533078i | ||||||||
\(923\) | 1.71284e12 | − | 4.13517e12i | 0.0776801 | − | 0.187536i | ||||
\(924\) | −6.78175e12 | + | 2.80909e12i | −0.306068 | + | 0.126778i | ||||
\(925\) | −1.51465e11 | − | 3.65669e11i | −0.00680260 | − | 0.0164229i | ||||
\(926\) | 1.29687e13 | + | 1.29687e13i | 0.579626 | + | 0.579626i | ||||
\(927\) | 7.00120e10 | + | 7.00120e10i | 0.00311396 | + | 0.00311396i | ||||
\(928\) | −4.75478e12 | − | 1.14791e13i | −0.210458 | − | 0.508090i | ||||
\(929\) | 2.31614e13 | − | 9.59375e12i | 1.02022 | − | 0.422588i | 0.191046 | − | 0.981581i | \(-0.438812\pi\) |
0.829173 | + | 0.558993i | \(0.188812\pi\) | |||||||
\(930\) | 3.58870e12 | − | 8.66389e12i | 0.157313 | − | 0.379787i | ||||
\(931\) | − | 2.79445e13i | − | 1.21905i | ||||||
\(932\) | 1.67065e13 | + | 6.92005e12i | 0.725293 | + | 0.300426i | ||||
\(933\) | −1.22937e13 | + | 1.22937e13i | −0.531149 | + | 0.531149i | ||||
\(934\) | 8.28926e11 | 0.0356414 | ||||||||
\(935\) | 1.67344e13 | − | 4.12477e13i | 0.716075 | − | 1.76501i | ||||
\(936\) | 1.35728e10 | 0.000577998 | ||||||||
\(937\) | −2.54302e13 | + | 2.54302e13i | −1.07776 | + | 1.07776i | −0.0810493 | + | 0.996710i | \(0.525827\pi\) |
−0.996710 | + | 0.0810493i | \(0.974173\pi\) | |||||||
\(938\) | 3.74827e12 | + | 1.55258e12i | 0.158095 | + | 0.0654851i | ||||
\(939\) | 6.92514e12i | 0.290692i | ||||||||
\(940\) | −2.09742e12 | + | 5.06362e12i | −0.0876213 | + | 0.211537i | ||||
\(941\) | −4.08171e13 | + | 1.69070e13i | −1.69703 | + | 0.702932i | −0.999902 | − | 0.0140168i | \(-0.995538\pi\) |
−0.697126 | + | 0.716949i | \(0.745538\pi\) | |||||||
\(942\) | −6.55476e12 | − | 1.58246e13i | −0.271224 | − | 0.654792i | ||||
\(943\) | 2.73957e13 | + | 2.73957e13i | 1.12818 | + | 1.12818i | ||||
\(944\) | −2.28336e12 | − | 2.28336e12i | −0.0935839 | − | 0.0935839i | ||||
\(945\) | 3.46720e12 | + | 8.37057e12i | 0.141428 | + | 0.341438i | ||||
\(946\) | 1.12599e13 | − | 4.66402e12i | 0.457115 | − | 0.189343i | ||||
\(947\) | 4.91118e12 | − | 1.18566e13i | 0.198432 | − | 0.479056i | −0.793073 | − | 0.609126i | \(-0.791520\pi\) |
0.991505 | + | 0.130070i | \(0.0415202\pi\) | |||||||
\(948\) | − | 6.68912e12i | − | 0.268987i | ||||||
\(949\) | 2.96982e12 | + | 1.23014e12i | 0.118859 | + | 0.0492331i | ||||
\(950\) | 3.38211e12 | − | 3.38211e12i | 0.134720 | − | 0.134720i | ||||
\(951\) | 4.13466e13 | 1.63918 | ||||||||
\(952\) | 6.17473e12 | − | 6.26535e12i | 0.243642 | − | 0.247217i | ||||
\(953\) | −3.92880e13 | −1.54291 | −0.771457 | − | 0.636281i | \(-0.780472\pi\) | ||||
−0.771457 | + | 0.636281i | \(0.780472\pi\) | |||||||
\(954\) | 5.08372e10 | − | 5.08372e10i | 0.00198707 | − | 0.00198707i | ||||
\(955\) | −4.63884e13 | − | 1.92147e13i | −1.80465 | − | 0.747512i | ||||
\(956\) | 1.98271e13i | 0.767714i | ||||||||
\(957\) | −9.89124e12 | + | 2.38796e13i | −0.381195 | + | 0.920286i | ||||
\(958\) | −2.24609e13 | + | 9.30359e12i | −0.861552 | + | 0.356867i | ||||
\(959\) | 2.54062e12 | + | 6.13359e12i | 0.0969963 | + | 0.234170i | ||||
\(960\) | 1.52131e13 | + | 1.52131e13i | 0.578093 | + | 0.578093i | ||||
\(961\) | −1.26936e13 | − | 1.26936e13i | −0.480097 | − | 0.480097i | ||||
\(962\) | −6.99672e10 | − | 1.68916e11i | −0.00263394 | − | 0.00635890i | ||||
\(963\) | 9.65931e10 | − | 4.00102e10i | 0.00361933 | − | 0.00149917i | ||||
\(964\) | 6.89198e12 | − | 1.66387e13i | 0.257038 | − | 0.620545i | ||||
\(965\) | 4.27765e13i | 1.58794i | ||||||||
\(966\) | 5.47999e12 | + | 2.26989e12i | 0.202480 | + | 0.0838701i | ||||
\(967\) | 1.03354e13 | − | 1.03354e13i | 0.380109 | − | 0.380109i | −0.491032 | − | 0.871142i | \(-0.663380\pi\) |
0.871142 | + | 0.491032i | \(0.163380\pi\) | |||||||
\(968\) | −5.62406e13 | −2.05878 | ||||||||
\(969\) | 3.78170e13 | − | 2.75473e11i | 1.37794 | − | 0.0100374i | ||||
\(970\) | 6.00167e12 | 0.217670 | ||||||||
\(971\) | 1.69333e13 | − | 1.69333e13i | 0.611299 | − | 0.611299i | −0.331985 | − | 0.943285i | \(-0.607718\pi\) |
0.943285 | + | 0.331985i | \(0.107718\pi\) | |||||||
\(972\) | −1.31888e11 | − | 5.46300e10i | −0.00473924 | − | 0.00196306i | ||||
\(973\) | − | 6.03290e11i | − | 0.0215783i | ||||||
\(974\) | −3.96657e12 | + | 9.57616e12i | −0.141221 | + | 0.340938i | ||||
\(975\) | −6.82248e11 | + | 2.82596e11i | −0.0241781 | + | 0.0100149i | ||||
\(976\) | −9.47632e11 | − | 2.28779e12i | −0.0334284 | − | 0.0807033i | ||||
\(977\) | −3.21612e13 | − | 3.21612e13i | −1.12929 | − | 1.12929i | −0.990292 | − | 0.139000i | \(-0.955611\pi\) |
−0.139000 | − | 0.990292i | \(-0.544389\pi\) | |||||||
\(978\) | −1.36744e13 | − | 1.36744e13i | −0.477950 | − | 0.477950i | ||||
\(979\) | 9.12752e12 | + | 2.20358e13i | 0.317564 | + | 0.766666i | ||||
\(980\) | −1.47609e13 | + | 6.11417e12i | −0.511206 | + | 0.211749i | ||||
\(981\) | −3.86351e10 | + | 9.32733e10i | −0.00133190 | + | 0.00321549i | ||||
\(982\) | − | 1.09961e12i | − | 0.0377343i | ||||||
\(983\) | −3.60230e12 | − | 1.49212e12i | −0.123052 | − | 0.0509699i | 0.320308 | − | 0.947314i | \(-0.396214\pi\) |
−0.443360 | + | 0.896344i | \(0.646214\pi\) | |||||||
\(984\) | 3.47265e13 | − | 3.47265e13i | 1.18082 | − | 1.18082i | ||||
\(985\) | 4.24725e13 | 1.43762 | ||||||||
\(986\) | −8.16550e10 | − | 1.12096e13i | −0.00275129 | − | 0.377698i | ||||
\(987\) | 3.69093e12 | 0.123797 | ||||||||
\(988\) | −2.04723e12 | + | 2.04723e12i | −0.0683535 | + | 0.0683535i | ||||
\(989\) | 1.19226e13 | + | 4.93851e12i | 0.396268 | + | 0.164139i | ||||
\(990\) | − | 1.71279e11i | − | 0.00566691i | ||||||
\(991\) | −7.14743e12 | + | 1.72554e13i | −0.235407 | + | 0.568322i | −0.996797 | − | 0.0799716i | \(-0.974517\pi\) |
0.761391 | + | 0.648294i | \(0.224517\pi\) | |||||||
\(992\) | −1.52941e13 | + | 6.33504e12i | −0.501444 | + | 0.207705i | ||||
\(993\) | 1.65259e12 | + | 3.98970e12i | 0.0539378 | + | 0.130217i | ||||
\(994\) | −7.89281e12 | − | 7.89281e12i | −0.256444 | − | 0.256444i | ||||
\(995\) | −4.08503e13 | − | 4.08503e13i | −1.32127 | − | 1.32127i | ||||
\(996\) | 1.22958e13 | + | 2.96848e13i | 0.395905 | + | 0.955800i | ||||
\(997\) | 4.35524e13 | − | 1.80400e13i | 1.39600 | − | 0.578240i | 0.447286 | − | 0.894391i | \(-0.352390\pi\) |
0.948709 | + | 0.316151i | \(0.102390\pi\) | |||||||
\(998\) | −2.52186e12 | + | 6.08830e12i | −0.0804699 | + | 0.194271i | ||||
\(999\) | 2.65073e12i | 0.0842016i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 17.10.d.a.9.5 | yes | 52 | |
17.2 | even | 8 | inner | 17.10.d.a.2.5 | ✓ | 52 | |
17.6 | odd | 16 | 289.10.a.i.1.17 | 52 | |||
17.11 | odd | 16 | 289.10.a.i.1.18 | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.10.d.a.2.5 | ✓ | 52 | 17.2 | even | 8 | inner | |
17.10.d.a.9.5 | yes | 52 | 1.1 | even | 1 | trivial | |
289.10.a.i.1.17 | 52 | 17.6 | odd | 16 | |||
289.10.a.i.1.18 | 52 | 17.11 | odd | 16 |