Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(9,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.g (of order \(21\), degree \(12\), 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: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 23.2 | ||
Character | \(\chi\) | \(=\) | 98.23 |
Dual form | 98.2.g.a.81.2 |
$q$-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 \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{19}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0747301 | + | 0.997204i | −0.0528422 | + | 0.705130i | ||||
\(3\) | 1.52870 | − | 0.471543i | 0.882598 | − | 0.272245i | 0.179858 | − | 0.983693i | \(-0.442436\pi\) |
0.702740 | + | 0.711447i | \(0.251960\pi\) | |||||||
\(4\) | −0.988831 | − | 0.149042i | −0.494415 | − | 0.0745211i | ||||
\(5\) | −0.144243 | − | 0.133838i | −0.0645072 | − | 0.0598539i | 0.647260 | − | 0.762269i | \(-0.275915\pi\) |
−0.711768 | + | 0.702415i | \(0.752105\pi\) | |||||||
\(6\) | 0.355984 | + | 1.55967i | 0.145330 | + | 0.636732i | ||||
\(7\) | 2.44775 | + | 1.00425i | 0.925162 | + | 0.379573i | ||||
\(8\) | 0.222521 | − | 0.974928i | 0.0786730 | − | 0.344689i | ||||
\(9\) | −0.364133 | + | 0.248262i | −0.121378 | + | 0.0827539i | ||||
\(10\) | 0.144243 | − | 0.133838i | 0.0456135 | − | 0.0423231i | ||||
\(11\) | −3.03693 | − | 2.07055i | −0.915670 | − | 0.624293i | 0.0110939 | − | 0.999938i | \(-0.496469\pi\) |
−0.926763 | + | 0.375646i | \(0.877421\pi\) | |||||||
\(12\) | −1.58191 | + | 0.238434i | −0.456658 | + | 0.0688301i | ||||
\(13\) | −1.91301 | + | 0.921256i | −0.530573 | + | 0.255510i | −0.679935 | − | 0.733272i | \(-0.737992\pi\) |
0.149363 | + | 0.988783i | \(0.452278\pi\) | |||||||
\(14\) | −1.18437 | + | 2.36586i | −0.316535 | + | 0.632302i | ||||
\(15\) | −0.283614 | − | 0.136581i | −0.0732289 | − | 0.0352652i | ||||
\(16\) | 0.955573 | + | 0.294755i | 0.238893 | + | 0.0736888i | ||||
\(17\) | 1.42755 | − | 3.63734i | 0.346232 | − | 0.882184i | −0.646618 | − | 0.762814i | \(-0.723817\pi\) |
0.992850 | − | 0.119370i | \(-0.0380875\pi\) | |||||||
\(18\) | −0.220356 | − | 0.381667i | −0.0519383 | − | 0.0899598i | ||||
\(19\) | −2.48143 | + | 4.29797i | −0.569280 | + | 0.986022i | 0.427357 | + | 0.904083i | \(0.359445\pi\) |
−0.996637 | + | 0.0819393i | \(0.973889\pi\) | |||||||
\(20\) | 0.122684 | + | 0.153841i | 0.0274330 | + | 0.0343999i | ||||
\(21\) | 4.21543 | + | 0.380991i | 0.919883 | + | 0.0831390i | ||||
\(22\) | 2.29171 | − | 2.87371i | 0.488593 | − | 0.612677i | ||||
\(23\) | −1.79216 | − | 4.56635i | −0.373691 | − | 0.952149i | −0.986770 | − | 0.162127i | \(-0.948164\pi\) |
0.613079 | − | 0.790022i | \(-0.289931\pi\) | |||||||
\(24\) | −0.119552 | − | 1.59530i | −0.0244034 | − | 0.325640i | ||||
\(25\) | −0.370757 | − | 4.94741i | −0.0741514 | − | 0.989482i | ||||
\(26\) | −0.775721 | − | 1.97650i | −0.152131 | − | 0.387624i | ||||
\(27\) | −3.43192 | + | 4.30349i | −0.660473 | + | 0.828207i | ||||
\(28\) | −2.27073 | − | 1.35786i | −0.429128 | − | 0.256611i | ||||
\(29\) | −0.499073 | − | 0.625818i | −0.0926755 | − | 0.116211i | 0.733332 | − | 0.679871i | \(-0.237964\pi\) |
−0.826007 | + | 0.563660i | \(0.809393\pi\) | |||||||
\(30\) | 0.157394 | − | 0.272614i | 0.0287361 | − | 0.0497724i | ||||
\(31\) | −0.00876390 | − | 0.0151795i | −0.00157404 | − | 0.00272632i | 0.865237 | − | 0.501363i | \(-0.167168\pi\) |
−0.866811 | + | 0.498636i | \(0.833834\pi\) | |||||||
\(32\) | −0.365341 | + | 0.930874i | −0.0645838 | + | 0.164557i | ||||
\(33\) | −5.61892 | − | 1.73321i | −0.978129 | − | 0.301713i | ||||
\(34\) | 3.52049 | + | 1.69538i | 0.603758 | + | 0.290755i | ||||
\(35\) | −0.218662 | − | 0.472457i | −0.0369607 | − | 0.0798598i | ||||
\(36\) | 0.397067 | − | 0.191218i | 0.0661779 | − | 0.0318696i | ||||
\(37\) | 8.77401 | − | 1.32247i | 1.44244 | − | 0.217413i | 0.619255 | − | 0.785190i | \(-0.287435\pi\) |
0.823182 | + | 0.567777i | \(0.192196\pi\) | |||||||
\(38\) | −4.10052 | − | 2.79568i | −0.665191 | − | 0.453520i | ||||
\(39\) | −2.49001 | + | 2.31039i | −0.398721 | + | 0.369959i | ||||
\(40\) | −0.162579 | + | 0.110844i | −0.0257060 | + | 0.0175260i | ||||
\(41\) | −0.431178 | + | 1.88911i | −0.0673387 | + | 0.295030i | −0.997372 | − | 0.0724440i | \(-0.976920\pi\) |
0.930034 | + | 0.367474i | \(0.119777\pi\) | |||||||
\(42\) | −0.694945 | + | 4.17517i | −0.107232 | + | 0.644243i | ||||
\(43\) | 2.17526 | + | 9.53045i | 0.331725 | + | 1.45338i | 0.815790 | + | 0.578348i | \(0.196303\pi\) |
−0.484065 | + | 0.875032i | \(0.660840\pi\) | |||||||
\(44\) | 2.69441 | + | 2.50005i | 0.406198 | + | 0.376897i | ||||
\(45\) | 0.0857502 | + | 0.0129248i | 0.0127829 | + | 0.00192671i | ||||
\(46\) | 4.68751 | − | 1.44590i | 0.691135 | − | 0.213187i | ||||
\(47\) | −0.497265 | + | 6.63553i | −0.0725335 | + | 0.967892i | 0.835634 | + | 0.549286i | \(0.185100\pi\) |
−0.908168 | + | 0.418606i | \(0.862519\pi\) | |||||||
\(48\) | 1.59978 | 0.230908 | ||||||||
\(49\) | 4.98294 | + | 4.91633i | 0.711849 | + | 0.702332i | ||||
\(50\) | 4.96128 | 0.701631 | ||||||||
\(51\) | 0.467141 | − | 6.23356i | 0.0654128 | − | 0.872873i | ||||
\(52\) | 2.02895 | − | 0.625847i | 0.281364 | − | 0.0867894i | ||||
\(53\) | 1.69859 | + | 0.256021i | 0.233319 | + | 0.0351672i | 0.264661 | − | 0.964342i | \(-0.414740\pi\) |
−0.0313419 | + | 0.999509i | \(0.509978\pi\) | |||||||
\(54\) | −4.03499 | − | 3.74392i | −0.549093 | − | 0.509484i | ||||
\(55\) | 0.160938 | + | 0.705116i | 0.0217009 | + | 0.0950778i | ||||
\(56\) | 1.52375 | − | 2.16291i | 0.203620 | − | 0.289031i | ||||
\(57\) | −1.76670 | + | 7.74043i | −0.234005 | + | 1.02524i | ||||
\(58\) | 0.661364 | − | 0.450910i | 0.0868413 | − | 0.0592074i | ||||
\(59\) | −10.5015 | + | 9.74393i | −1.36717 | + | 1.26855i | −0.437966 | + | 0.898991i | \(0.644301\pi\) |
−0.929207 | + | 0.369560i | \(0.879508\pi\) | |||||||
\(60\) | 0.260090 | + | 0.177326i | 0.0335775 | + | 0.0228927i | ||||
\(61\) | 9.87335 | − | 1.48817i | 1.26415 | − | 0.190540i | 0.517459 | − | 0.855708i | \(-0.326878\pi\) |
0.746694 | + | 0.665168i | \(0.231640\pi\) | |||||||
\(62\) | 0.0157920 | − | 0.00760503i | 0.00200559 | − | 0.000965839i | ||||
\(63\) | −1.14062 | + | 0.242000i | −0.143705 | + | 0.0304891i | ||||
\(64\) | −0.900969 | − | 0.433884i | −0.112621 | − | 0.0542355i | ||||
\(65\) | 0.399236 | + | 0.123148i | 0.0495191 | + | 0.0152746i | ||||
\(66\) | 2.14826 | − | 5.47369i | 0.264433 | − | 0.673764i | ||||
\(67\) | −3.63377 | − | 6.29387i | −0.443936 | − | 0.768919i | 0.554042 | − | 0.832489i | \(-0.313085\pi\) |
−0.997977 | + | 0.0635698i | \(0.979751\pi\) | |||||||
\(68\) | −1.95372 | + | 3.38395i | −0.236924 | + | 0.410364i | ||||
\(69\) | −4.89291 | − | 6.13551i | −0.589037 | − | 0.738629i | ||||
\(70\) | 0.487476 | − | 0.182744i | 0.0582646 | − | 0.0218421i | ||||
\(71\) | 6.28782 | − | 7.88468i | 0.746227 | − | 0.935739i | −0.253272 | − | 0.967395i | \(-0.581507\pi\) |
0.999499 | + | 0.0316561i | \(0.0100781\pi\) | |||||||
\(72\) | 0.161010 | + | 0.410247i | 0.0189752 | + | 0.0483480i | ||||
\(73\) | −0.0400528 | − | 0.534467i | −0.00468782 | − | 0.0625546i | 0.994369 | − | 0.105971i | \(-0.0337950\pi\) |
−0.999057 | + | 0.0434160i | \(0.986176\pi\) | |||||||
\(74\) | 0.663089 | + | 8.84830i | 0.0770825 | + | 1.02859i | ||||
\(75\) | −2.89969 | − | 7.38830i | −0.334828 | − | 0.853127i | ||||
\(76\) | 3.09430 | − | 3.88013i | 0.354940 | − | 0.445081i | ||||
\(77\) | −5.35429 | − | 8.11803i | −0.610178 | − | 0.925135i | ||||
\(78\) | −2.11785 | − | 2.65570i | −0.239800 | − | 0.300699i | ||||
\(79\) | 3.58658 | − | 6.21213i | 0.403521 | − | 0.698919i | −0.590627 | − | 0.806945i | \(-0.701119\pi\) |
0.994148 | + | 0.108025i | \(0.0344528\pi\) | |||||||
\(80\) | −0.0983849 | − | 0.170408i | −0.0109998 | − | 0.0190522i | ||||
\(81\) | −2.73408 | + | 6.96632i | −0.303787 | + | 0.774036i | ||||
\(82\) | −1.85161 | − | 0.571146i | −0.204476 | − | 0.0630725i | ||||
\(83\) | 5.11559 | + | 2.46354i | 0.561509 | + | 0.270409i | 0.693035 | − | 0.720904i | \(-0.256273\pi\) |
−0.131525 | + | 0.991313i | \(0.541988\pi\) | |||||||
\(84\) | −4.11157 | − | 1.00501i | −0.448609 | − | 0.109656i | ||||
\(85\) | −0.692726 | + | 0.333599i | −0.0751366 | + | 0.0361839i | ||||
\(86\) | −9.66636 | + | 1.45697i | −1.04235 | + | 0.157109i | ||||
\(87\) | −1.05803 | − | 0.721356i | −0.113433 | − | 0.0773375i | ||||
\(88\) | −2.69441 | + | 2.50005i | −0.287225 | + | 0.266506i | ||||
\(89\) | 11.0777 | − | 7.55263i | 1.17423 | − | 0.800577i | 0.190759 | − | 0.981637i | \(-0.438905\pi\) |
0.983472 | + | 0.181060i | \(0.0579527\pi\) | |||||||
\(90\) | −0.0192967 | + | 0.0845445i | −0.00203405 | + | 0.00891177i | ||||
\(91\) | −5.60774 | + | 0.333855i | −0.587851 | + | 0.0349975i | ||||
\(92\) | 1.09156 | + | 4.78245i | 0.113803 | + | 0.498605i | ||||
\(93\) | −0.0205552 | − | 0.0190724i | −0.00213147 | − | 0.00197772i | ||||
\(94\) | −6.57982 | − | 0.991748i | −0.678657 | − | 0.102291i | ||||
\(95\) | 0.933158 | − | 0.287841i | 0.0957400 | − | 0.0295319i | ||||
\(96\) | −0.119552 | + | 1.59530i | −0.0122017 | + | 0.162820i | ||||
\(97\) | −14.8313 | −1.50589 | −0.752946 | − | 0.658083i | \(-0.771368\pi\) | ||||
−0.752946 | + | 0.658083i | \(0.771368\pi\) | |||||||
\(98\) | −5.27496 | + | 4.60161i | −0.532851 | + | 0.464833i | ||||
\(99\) | 1.61988 | 0.162804 | ||||||||
\(100\) | −0.370757 | + | 4.94741i | −0.0370757 | + | 0.494741i | ||||
\(101\) | 11.6090 | − | 3.58091i | 1.15514 | − | 0.356314i | 0.342749 | − | 0.939427i | \(-0.388642\pi\) |
0.812391 | + | 0.583113i | \(0.198166\pi\) | |||||||
\(102\) | 6.18122 | + | 0.931670i | 0.612032 | + | 0.0922490i | ||||
\(103\) | 10.7283 | + | 9.95445i | 1.05710 | + | 0.980841i | 0.999847 | − | 0.0175184i | \(-0.00557657\pi\) |
0.0572492 | + | 0.998360i | \(0.481767\pi\) | |||||||
\(104\) | 0.472474 | + | 2.07004i | 0.0463299 | + | 0.202984i | ||||
\(105\) | −0.557054 | − | 0.619138i | −0.0543629 | − | 0.0604217i | ||||
\(106\) | −0.382241 | + | 1.67471i | −0.0371265 | + | 0.162662i | ||||
\(107\) | −12.2697 | + | 8.36532i | −1.18615 | + | 0.808706i | −0.985286 | − | 0.170913i | \(-0.945328\pi\) |
−0.200867 | + | 0.979618i | \(0.564376\pi\) | |||||||
\(108\) | 4.03499 | − | 3.74392i | 0.388267 | − | 0.360259i | ||||
\(109\) | −2.65254 | − | 1.80847i | −0.254067 | − | 0.173220i | 0.429589 | − | 0.903025i | \(-0.358659\pi\) |
−0.683656 | + | 0.729805i | \(0.739611\pi\) | |||||||
\(110\) | −0.715171 | + | 0.107795i | −0.0681889 | + | 0.0102778i | ||||
\(111\) | 12.7893 | − | 6.15898i | 1.21390 | − | 0.584585i | ||||
\(112\) | 2.04299 | + | 1.68113i | 0.193045 | + | 0.158851i | ||||
\(113\) | −15.1173 | − | 7.28013i | −1.42212 | − | 0.684857i | −0.444606 | − | 0.895726i | \(-0.646656\pi\) |
−0.977514 | + | 0.210869i | \(0.932371\pi\) | |||||||
\(114\) | −7.58676 | − | 2.34021i | −0.710565 | − | 0.219180i | ||||
\(115\) | −0.352643 | + | 0.898519i | −0.0328841 | + | 0.0837874i | ||||
\(116\) | 0.400225 | + | 0.693211i | 0.0371600 | + | 0.0643630i | ||||
\(117\) | 0.467876 | − | 0.810386i | 0.0432552 | − | 0.0749202i | ||||
\(118\) | −8.93191 | − | 11.2003i | −0.822249 | − | 1.03107i | ||||
\(119\) | 7.14710 | − | 7.46966i | 0.655173 | − | 0.684743i | ||||
\(120\) | −0.196267 | + | 0.246111i | −0.0179167 | + | 0.0224668i | ||||
\(121\) | 0.917049 | + | 2.33660i | 0.0833680 | + | 0.212418i | ||||
\(122\) | 0.746170 | + | 9.95695i | 0.0675551 | + | 0.901460i | ||||
\(123\) | 0.231654 | + | 3.09121i | 0.0208876 | + | 0.278725i | ||||
\(124\) | 0.00640362 | + | 0.0163162i | 0.000575062 | + | 0.00146523i | ||||
\(125\) | −1.22209 | + | 1.53245i | −0.109307 | + | 0.137067i | ||||
\(126\) | −0.156084 | − | 1.15552i | −0.0139051 | − | 0.102942i | ||||
\(127\) | −10.7383 | − | 13.4654i | −0.952868 | − | 1.19486i | −0.980754 | − | 0.195248i | \(-0.937449\pi\) |
0.0278858 | − | 0.999611i | \(-0.491123\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 7.81935 | + | 13.5435i | 0.688455 | + | 1.19244i | ||||
\(130\) | −0.152638 | + | 0.388916i | −0.0133873 | + | 0.0341102i | ||||
\(131\) | 4.11482 | + | 1.26925i | 0.359513 | + | 0.110895i | 0.469250 | − | 0.883066i | \(-0.344524\pi\) |
−0.109736 | + | 0.993961i | \(0.535001\pi\) | |||||||
\(132\) | 5.29784 | + | 2.55131i | 0.461118 | + | 0.222063i | ||||
\(133\) | −10.3902 | + | 8.02836i | −0.900943 | + | 0.696147i | ||||
\(134\) | 6.54783 | − | 3.15327i | 0.565646 | − | 0.272401i | ||||
\(135\) | 1.07100 | − | 0.161427i | 0.0921768 | − | 0.0138934i | ||||
\(136\) | −3.22848 | − | 2.20114i | −0.276840 | − | 0.188746i | ||||
\(137\) | 7.10952 | − | 6.59667i | 0.607407 | − | 0.563592i | −0.315349 | − | 0.948976i | \(-0.602122\pi\) |
0.922756 | + | 0.385384i | \(0.125931\pi\) | |||||||
\(138\) | 6.48400 | − | 4.42072i | 0.551955 | − | 0.376317i | ||||
\(139\) | 3.88249 | − | 17.0103i | 0.329309 | − | 1.44280i | −0.491142 | − | 0.871080i | \(-0.663420\pi\) |
0.820451 | − | 0.571717i | \(-0.193722\pi\) | |||||||
\(140\) | 0.145804 | + | 0.499770i | 0.0123227 | + | 0.0422383i | ||||
\(141\) | 2.36877 | + | 10.3782i | 0.199486 | + | 0.874006i | ||||
\(142\) | 7.39274 | + | 6.85946i | 0.620385 | + | 0.575633i | ||||
\(143\) | 7.71718 | + | 1.16318i | 0.645343 | + | 0.0972698i | ||||
\(144\) | −0.421132 | + | 0.129902i | −0.0350943 | + | 0.0108252i | ||||
\(145\) | −0.0117703 | + | 0.157064i | −0.000977473 | + | 0.0130435i | ||||
\(146\) | 0.535966 | 0.0443568 | ||||||||
\(147\) | 9.93570 | + | 5.16594i | 0.819483 | + | 0.426079i | ||||
\(148\) | −8.87311 | −0.729365 | ||||||||
\(149\) | −0.994206 | + | 13.2668i | −0.0814486 | + | 1.08686i | 0.795399 | + | 0.606086i | \(0.207261\pi\) |
−0.876847 | + | 0.480769i | \(0.840358\pi\) | |||||||
\(150\) | 7.58433 | − | 2.33946i | 0.619258 | − | 0.191016i | ||||
\(151\) | 8.66989 | + | 1.30678i | 0.705546 | + | 0.106344i | 0.492008 | − | 0.870591i | \(-0.336263\pi\) |
0.213538 | + | 0.976935i | \(0.431501\pi\) | |||||||
\(152\) | 3.63804 | + | 3.37561i | 0.295084 | + | 0.273798i | ||||
\(153\) | 0.383193 | + | 1.67888i | 0.0309794 | + | 0.135729i | ||||
\(154\) | 8.49546 | − | 4.73266i | 0.684583 | − | 0.381368i | ||||
\(155\) | −0.000767462 | 0.00336247i | −6.16440e−5 | 0.000270080i | ||||||
\(156\) | 2.80655 | − | 1.91347i | 0.224703 | − | 0.153200i | ||||
\(157\) | −16.8299 | + | 15.6159i | −1.34317 | + | 1.24628i | −0.398953 | + | 0.916972i | \(0.630626\pi\) |
−0.944221 | + | 0.329312i | \(0.893183\pi\) | |||||||
\(158\) | 5.92674 | + | 4.04078i | 0.471506 | + | 0.321467i | ||||
\(159\) | 2.71736 | − | 0.409577i | 0.215501 | − | 0.0324815i | ||||
\(160\) | 0.177284 | − | 0.0853752i | 0.0140155 | − | 0.00674951i | ||||
\(161\) | 0.199022 | − | 12.9771i | 0.0156851 | − | 1.02274i | ||||
\(162\) | −6.74253 | − | 3.24703i | −0.529743 | − | 0.255111i | ||||
\(163\) | 2.45356 | + | 0.756824i | 0.192178 | + | 0.0592790i | 0.389350 | − | 0.921090i | \(-0.372700\pi\) |
−0.197172 | + | 0.980369i | \(0.563176\pi\) | |||||||
\(164\) | 0.707920 | − | 1.80375i | 0.0552792 | − | 0.140849i | ||||
\(165\) | 0.578519 | + | 1.00202i | 0.0450377 | + | 0.0780075i | ||||
\(166\) | −2.83894 | + | 4.91719i | −0.220344 | + | 0.381648i | ||||
\(167\) | 8.17208 | + | 10.2475i | 0.632375 | + | 0.792973i | 0.990026 | − | 0.140882i | \(-0.0449939\pi\) |
−0.357652 | + | 0.933855i | \(0.616422\pi\) | |||||||
\(168\) | 1.30946 | − | 4.02496i | 0.101027 | − | 0.310533i | ||||
\(169\) | −5.29448 | + | 6.63907i | −0.407268 | + | 0.510698i | ||||
\(170\) | −0.280899 | − | 0.715718i | −0.0215440 | − | 0.0548931i | ||||
\(171\) | −0.163449 | − | 2.18108i | −0.0124993 | − | 0.166791i | ||||
\(172\) | −0.730527 | − | 9.74821i | −0.0557022 | − | 0.743294i | ||||
\(173\) | −2.22728 | − | 5.67503i | −0.169337 | − | 0.431464i | 0.820862 | − | 0.571127i | \(-0.193494\pi\) |
−0.990199 | + | 0.139662i | \(0.955398\pi\) | |||||||
\(174\) | 0.798406 | − | 1.00117i | 0.0605270 | − | 0.0758984i | ||||
\(175\) | 4.06094 | − | 12.4823i | 0.306978 | − | 0.943577i | ||||
\(176\) | −2.29171 | − | 2.87371i | −0.172744 | − | 0.216614i | ||||
\(177\) | −11.4589 | + | 19.8475i | −0.861307 | + | 1.49183i | ||||
\(178\) | 6.70368 | + | 11.6111i | 0.502462 | + | 0.870289i | ||||
\(179\) | −4.21718 | + | 10.7452i | −0.315207 | + | 0.803134i | 0.682200 | + | 0.731166i | \(0.261023\pi\) |
−0.997407 | + | 0.0719687i | \(0.977072\pi\) | |||||||
\(180\) | −0.0828661 | − | 0.0255608i | −0.00617647 | − | 0.00190519i | ||||
\(181\) | −5.69072 | − | 2.74051i | −0.422988 | − | 0.203700i | 0.210266 | − | 0.977644i | \(-0.432567\pi\) |
−0.633254 | + | 0.773944i | \(0.718281\pi\) | |||||||
\(182\) | 0.0861449 | − | 5.61701i | 0.00638549 | − | 0.416360i | ||||
\(183\) | 14.3917 | − | 6.93067i | 1.06386 | − | 0.512330i | ||||
\(184\) | −4.85065 | + | 0.731118i | −0.357595 | + | 0.0538987i | ||||
\(185\) | −1.44258 | − | 0.983535i | −0.106061 | − | 0.0723109i | ||||
\(186\) | 0.0205552 | − | 0.0190724i | 0.00150718 | − | 0.00139846i | ||||
\(187\) | −11.8666 | + | 8.09054i | −0.867775 | + | 0.591639i | ||||
\(188\) | 1.48069 | − | 6.48731i | 0.107990 | − | 0.473135i | ||||
\(189\) | −12.7223 | + | 7.08734i | −0.925410 | + | 0.515528i | ||||
\(190\) | 0.217301 | + | 0.952059i | 0.0157647 | + | 0.0690696i | ||||
\(191\) | −13.4230 | − | 12.4547i | −0.971253 | − | 0.901191i | 0.0238817 | − | 0.999715i | \(-0.492398\pi\) |
−0.995135 | + | 0.0985237i | \(0.968588\pi\) | |||||||
\(192\) | −1.58191 | − | 0.238434i | −0.114164 | − | 0.0172075i | ||||
\(193\) | 14.0027 | − | 4.31926i | 1.00794 | − | 0.310907i | 0.253539 | − | 0.967325i | \(-0.418405\pi\) |
0.754397 | + | 0.656418i | \(0.227929\pi\) | |||||||
\(194\) | 1.10835 | − | 14.7898i | 0.0795746 | − | 1.06185i | ||||
\(195\) | 0.668383 | 0.0478639 | ||||||||
\(196\) | −4.19455 | − | 5.60408i | −0.299611 | − | 0.400292i | ||||
\(197\) | −11.6028 | −0.826664 | −0.413332 | − | 0.910580i | \(-0.635635\pi\) | ||||
−0.413332 | + | 0.910580i | \(0.635635\pi\) | |||||||
\(198\) | −0.121054 | + | 1.61535i | −0.00860294 | + | 0.114798i | ||||
\(199\) | −6.49881 | + | 2.00462i | −0.460689 | + | 0.142104i | −0.516408 | − | 0.856343i | \(-0.672731\pi\) |
0.0557190 | + | 0.998446i | \(0.482255\pi\) | |||||||
\(200\) | −4.90587 | − | 0.739441i | −0.346897 | − | 0.0522864i | ||||
\(201\) | −8.52279 | − | 7.90799i | −0.601151 | − | 0.557787i | ||||
\(202\) | 2.70335 | + | 11.8442i | 0.190207 | + | 0.833352i | ||||
\(203\) | −0.593124 | − | 2.03304i | −0.0416292 | − | 0.142691i | ||||
\(204\) | −1.39099 | + | 6.09432i | −0.0973886 | + | 0.426687i | ||||
\(205\) | 0.315028 | − | 0.214783i | 0.0220025 | − | 0.0150011i | ||||
\(206\) | −10.7283 | + | 9.95445i | −0.747480 | + | 0.693560i | ||||
\(207\) | 1.78623 | + | 1.21783i | 0.124152 | + | 0.0846452i | ||||
\(208\) | −2.09956 | + | 0.316458i | −0.145578 | + | 0.0219424i | ||||
\(209\) | 16.4351 | − | 7.91472i | 1.13684 | − | 0.547473i | ||||
\(210\) | 0.659035 | − | 0.509228i | 0.0454778 | − | 0.0351401i | ||||
\(211\) | −16.0956 | − | 7.75123i | −1.10807 | − | 0.533617i | −0.211881 | − | 0.977296i | \(-0.567959\pi\) |
−0.896186 | + | 0.443679i | \(0.853673\pi\) | |||||||
\(212\) | −1.64146 | − | 0.506323i | −0.112736 | − | 0.0347744i | ||||
\(213\) | 5.89425 | − | 15.0183i | 0.403868 | − | 1.02904i | ||||
\(214\) | −7.42501 | − | 12.8605i | −0.507563 | − | 0.879126i | ||||
\(215\) | 0.961766 | − | 1.66583i | 0.0655919 | − | 0.113609i | ||||
\(216\) | 3.43192 | + | 4.30349i | 0.233513 | + | 0.292816i | ||||
\(217\) | −0.00620771 | − | 0.0459568i | −0.000421407 | − | 0.00311975i | ||||
\(218\) | 2.00164 | − | 2.50997i | 0.135568 | − | 0.169997i | ||||
\(219\) | −0.313253 | − | 0.798155i | −0.0211677 | − | 0.0539343i | ||||
\(220\) | −0.0540485 | − | 0.721227i | −0.00364395 | − | 0.0486251i | ||||
\(221\) | 0.620005 | + | 8.27339i | 0.0417061 | + | 0.556529i | ||||
\(222\) | 5.18602 | + | 13.2138i | 0.348063 | + | 0.886849i | ||||
\(223\) | −10.6188 | + | 13.3156i | −0.711089 | + | 0.891677i | −0.997797 | − | 0.0663407i | \(-0.978868\pi\) |
0.286708 | + | 0.958018i | \(0.407439\pi\) | |||||||
\(224\) | −1.82910 | + | 1.91165i | −0.122212 | + | 0.127727i | ||||
\(225\) | 1.36326 | + | 1.70947i | 0.0908838 | + | 0.113965i | ||||
\(226\) | 8.38950 | − | 14.5310i | 0.558061 | − | 0.966590i | ||||
\(227\) | −1.22823 | − | 2.12736i | −0.0815205 | − | 0.141198i | 0.822383 | − | 0.568935i | \(-0.192644\pi\) |
−0.903903 | + | 0.427737i | \(0.859311\pi\) | |||||||
\(228\) | 2.90062 | − | 7.39066i | 0.192098 | − | 0.489458i | ||||
\(229\) | −6.71788 | − | 2.07219i | −0.443930 | − | 0.136934i | 0.0647279 | − | 0.997903i | \(-0.479382\pi\) |
−0.508658 | + | 0.860969i | \(0.669858\pi\) | |||||||
\(230\) | −0.869654 | − | 0.418803i | −0.0573433 | − | 0.0276151i | ||||
\(231\) | −12.0131 | − | 9.88529i | −0.790405 | − | 0.650404i | ||||
\(232\) | −0.721181 | + | 0.347303i | −0.0473479 | + | 0.0228015i | ||||
\(233\) | 11.6605 | − | 1.75754i | 0.763907 | − | 0.115140i | 0.244479 | − | 0.969655i | \(-0.421383\pi\) |
0.519428 | + | 0.854514i | \(0.326145\pi\) | |||||||
\(234\) | 0.773155 | + | 0.527128i | 0.0505427 | + | 0.0344595i | ||||
\(235\) | 0.959810 | − | 0.890574i | 0.0626111 | − | 0.0580946i | ||||
\(236\) | 11.8364 | − | 8.06994i | 0.770485 | − | 0.525308i | ||||
\(237\) | 2.55353 | − | 11.1877i | 0.165869 | − | 0.726721i | ||||
\(238\) | 6.91467 | + | 7.68532i | 0.448212 | + | 0.498165i | ||||
\(239\) | 2.91267 | + | 12.7612i | 0.188405 | + | 0.825456i | 0.977458 | + | 0.211131i | \(0.0677147\pi\) |
−0.789053 | + | 0.614325i | \(0.789428\pi\) | |||||||
\(240\) | −0.230756 | − | 0.214110i | −0.0148952 | − | 0.0138208i | ||||
\(241\) | 11.1274 | + | 1.67719i | 0.716779 | + | 0.108037i | 0.497298 | − | 0.867580i | \(-0.334325\pi\) |
0.219481 | + | 0.975617i | \(0.429564\pi\) | |||||||
\(242\) | −2.39860 | + | 0.739870i | −0.154188 | + | 0.0475606i | ||||
\(243\) | 0.339346 | − | 4.52826i | 0.0217691 | − | 0.290488i | ||||
\(244\) | −9.98487 | −0.639216 | ||||||||
\(245\) | −0.0607635 | − | 1.37605i | −0.00388204 | − | 0.0879125i | ||||
\(246\) | −3.09988 | −0.197641 | ||||||||
\(247\) | 0.787472 | − | 10.5081i | 0.0501057 | − | 0.668614i | ||||
\(248\) | −0.0167491 | + | 0.00516641i | −0.00106357 | + | 0.000328067i | ||||
\(249\) | 8.98189 | + | 1.35380i | 0.569204 | + | 0.0857937i | ||||
\(250\) | −1.43684 | − | 1.33319i | −0.0908738 | − | 0.0843185i | ||||
\(251\) | 2.82158 | + | 12.3621i | 0.178097 | + | 0.780292i | 0.982508 | + | 0.186219i | \(0.0596236\pi\) |
−0.804412 | + | 0.594072i | \(0.797519\pi\) | |||||||
\(252\) | 1.16395 | − | 0.0692956i | 0.0733221 | − | 0.00436521i | ||||
\(253\) | −4.01216 | + | 17.5784i | −0.252243 | + | 1.10515i | ||||
\(254\) | 14.2302 | − | 9.70198i | 0.892882 | − | 0.608757i | ||||
\(255\) | −0.901666 | + | 0.836624i | −0.0564645 | + | 0.0523914i | ||||
\(256\) | 0.826239 | + | 0.563320i | 0.0516399 | + | 0.0352075i | ||||
\(257\) | −22.3835 | + | 3.37378i | −1.39625 | + | 0.210450i | −0.803676 | − | 0.595068i | \(-0.797125\pi\) |
−0.592571 | + | 0.805518i | \(0.701887\pi\) | |||||||
\(258\) | −14.0900 | + | 6.78538i | −0.877204 | + | 0.422439i | ||||
\(259\) | 22.8047 | + | 5.57427i | 1.41701 | + | 0.346368i | ||||
\(260\) | −0.376422 | − | 0.181275i | −0.0233447 | − | 0.0112422i | ||||
\(261\) | 0.337095 | + | 0.103980i | 0.0208657 | + | 0.00643621i | ||||
\(262\) | −1.57321 | + | 4.00846i | −0.0971929 | + | 0.247644i | ||||
\(263\) | 6.19224 | + | 10.7253i | 0.381830 | + | 0.661349i | 0.991324 | − | 0.131442i | \(-0.0419606\pi\) |
−0.609494 | + | 0.792791i | \(0.708627\pi\) | |||||||
\(264\) | −2.94008 | + | 5.09237i | −0.180949 | + | 0.313414i | ||||
\(265\) | −0.210743 | − | 0.264264i | −0.0129459 | − | 0.0162336i | ||||
\(266\) | −7.22945 | − | 10.9611i | −0.443266 | − | 0.672068i | ||||
\(267\) | 13.3731 | − | 16.7693i | 0.818420 | − | 1.02627i | ||||
\(268\) | 2.65513 | + | 6.76516i | 0.162188 | + | 0.413248i | ||||
\(269\) | −1.33638 | − | 17.8328i | −0.0814807 | − | 1.08728i | −0.876724 | − | 0.480994i | \(-0.840276\pi\) |
0.795243 | − | 0.606291i | \(-0.207343\pi\) | |||||||
\(270\) | 0.0809398 | + | 1.08007i | 0.00492584 | + | 0.0657307i | ||||
\(271\) | 1.94494 | + | 4.95562i | 0.118147 | + | 0.301033i | 0.977698 | − | 0.210017i | \(-0.0673520\pi\) |
−0.859551 | + | 0.511050i | \(0.829257\pi\) | |||||||
\(272\) | 2.43625 | − | 3.05496i | 0.147719 | − | 0.185234i | ||||
\(273\) | −8.41514 | + | 3.15465i | −0.509308 | + | 0.190928i | ||||
\(274\) | 6.04693 | + | 7.58261i | 0.365308 | + | 0.458082i | ||||
\(275\) | −9.11787 | + | 15.7926i | −0.549828 | + | 0.952331i | ||||
\(276\) | 3.92381 | + | 6.79623i | 0.236185 | + | 0.409085i | ||||
\(277\) | 3.94288 | − | 10.0463i | 0.236905 | − | 0.603623i | −0.762136 | − | 0.647417i | \(-0.775849\pi\) |
0.999041 | + | 0.0437938i | \(0.0139444\pi\) | |||||||
\(278\) | 16.6726 | + | 5.14282i | 0.999957 | + | 0.308446i | ||||
\(279\) | 0.00695971 | + | 0.00335162i | 0.000416667 | + | 0.000200656i | ||||
\(280\) | −0.509268 | + | 0.108049i | −0.0304346 | + | 0.00645714i | ||||
\(281\) | 29.3399 | − | 14.1293i | 1.75027 | − | 0.842886i | 0.771980 | − | 0.635646i | \(-0.219266\pi\) |
0.978290 | − | 0.207239i | \(-0.0664479\pi\) | |||||||
\(282\) | −10.5262 | + | 1.58658i | −0.626829 | + | 0.0944793i | ||||
\(283\) | −19.7701 | − | 13.4790i | −1.17521 | − | 0.801246i | −0.191588 | − | 0.981475i | \(-0.561364\pi\) |
−0.983625 | + | 0.180229i | \(0.942316\pi\) | |||||||
\(284\) | −7.39274 | + | 6.85946i | −0.438678 | + | 0.407034i | ||||
\(285\) | 1.29079 | − | 0.880048i | 0.0764600 | − | 0.0521295i | ||||
\(286\) | −1.73663 | + | 7.60867i | −0.102689 | + | 0.449910i | ||||
\(287\) | −2.95257 | + | 4.19106i | −0.174284 | + | 0.247391i | ||||
\(288\) | −0.0980675 | − | 0.429662i | −0.00577868 | − | 0.0253181i | ||||
\(289\) | 1.26956 | + | 1.17798i | 0.0746797 | + | 0.0692927i | ||||
\(290\) | −0.155745 | − | 0.0234748i | −0.00914569 | − | 0.00137849i | ||||
\(291\) | −22.6727 | + | 6.99360i | −1.32910 | + | 0.409972i | ||||
\(292\) | −0.0400528 | + | 0.534467i | −0.00234391 | + | 0.0312773i | ||||
\(293\) | 5.87190 | 0.343040 | 0.171520 | − | 0.985181i | \(-0.445132\pi\) | ||||
0.171520 | + | 0.985181i | \(0.445132\pi\) | |||||||
\(294\) | −5.89399 | + | 9.52187i | −0.343744 | + | 0.555327i | ||||
\(295\) | 2.81886 | 0.164120 | ||||||||
\(296\) | 0.663089 | − | 8.84830i | 0.0385412 | − | 0.514297i | ||||
\(297\) | 19.3331 | − | 5.96347i | 1.12182 | − | 0.346035i | ||||
\(298\) | −13.1554 | − | 1.98285i | −0.762070 | − | 0.114864i | ||||
\(299\) | 7.63519 | + | 7.08442i | 0.441554 | + | 0.409702i | ||||
\(300\) | 1.76614 | + | 7.73795i | 0.101968 | + | 0.446751i | ||||
\(301\) | −4.24651 | + | 25.5127i | −0.244765 | + | 1.47053i | ||||
\(302\) | −1.95102 | + | 8.54799i | −0.112269 | + | 0.491882i | ||||
\(303\) | 16.0582 | − | 10.9483i | 0.922519 | − | 0.628963i | ||||
\(304\) | −3.63804 | + | 3.37561i | −0.208656 | + | 0.193604i | ||||
\(305\) | −1.62333 | − | 1.10677i | −0.0929516 | − | 0.0633733i | ||||
\(306\) | −1.70282 | + | 0.256659i | −0.0973438 | + | 0.0146722i | ||||
\(307\) | 15.3333 | − | 7.38412i | 0.875116 | − | 0.421434i | 0.0582780 | − | 0.998300i | \(-0.481439\pi\) |
0.816838 | + | 0.576867i | \(0.195725\pi\) | |||||||
\(308\) | 4.08456 | + | 8.82537i | 0.232739 | + | 0.502872i | ||||
\(309\) | 21.0944 | + | 10.1585i | 1.20002 | + | 0.577899i | ||||
\(310\) | −0.00329572 | − | 0.00101659i | −0.000187184 | − | 5.77386e-5i | ||||
\(311\) | 8.71956 | − | 22.2171i | 0.494441 | − | 1.25982i | −0.438157 | − | 0.898898i | \(-0.644369\pi\) |
0.932598 | − | 0.360917i | \(-0.117536\pi\) | |||||||
\(312\) | 1.69839 | + | 2.94169i | 0.0961522 | + | 0.166540i | ||||
\(313\) | 6.16976 | − | 10.6863i | 0.348735 | − | 0.604027i | −0.637290 | − | 0.770624i | \(-0.719945\pi\) |
0.986025 | + | 0.166597i | \(0.0532779\pi\) | |||||||
\(314\) | −14.3145 | − | 17.9498i | −0.807815 | − | 1.01297i | ||||
\(315\) | 0.196915 | + | 0.117752i | 0.0110949 | + | 0.00663455i | ||||
\(316\) | −4.47239 | + | 5.60820i | −0.251591 | + | 0.315486i | ||||
\(317\) | 0.149514 | + | 0.380955i | 0.00839754 | + | 0.0213966i | 0.935011 | − | 0.354619i | \(-0.115389\pi\) |
−0.926614 | + | 0.376015i | \(0.877294\pi\) | |||||||
\(318\) | 0.205362 | + | 2.74037i | 0.0115162 | + | 0.153672i | ||||
\(319\) | 0.219867 | + | 2.93392i | 0.0123102 | + | 0.164268i | ||||
\(320\) | 0.0718881 | + | 0.183168i | 0.00401867 | + | 0.0102394i | ||||
\(321\) | −14.8121 | + | 18.5738i | −0.826730 | + | 1.03669i | ||||
\(322\) | 12.9259 | + | 1.16824i | 0.720332 | + | 0.0651036i | ||||
\(323\) | 12.0908 | + | 15.1614i | 0.672750 | + | 0.843602i | ||||
\(324\) | 3.74182 | − | 6.48102i | 0.207879 | − | 0.360057i | ||||
\(325\) | 5.26709 | + | 9.12287i | 0.292166 | + | 0.506046i | ||||
\(326\) | −0.938062 | + | 2.39014i | −0.0519545 | + | 0.132378i | ||||
\(327\) | −4.90772 | − | 1.51383i | −0.271397 | − | 0.0837150i | ||||
\(328\) | 1.74580 | + | 0.840735i | 0.0963959 | + | 0.0464218i | ||||
\(329\) | −7.88095 | + | 15.7427i | −0.434491 | + | 0.867925i | ||||
\(330\) | −1.04246 | + | 0.502020i | −0.0573853 | + | 0.0276353i | ||||
\(331\) | −2.91244 | + | 0.438979i | −0.160082 | + | 0.0241285i | −0.228594 | − | 0.973522i | \(-0.573413\pi\) |
0.0685122 | + | 0.997650i | \(0.478175\pi\) | |||||||
\(332\) | −4.69128 | − | 3.19846i | −0.257468 | − | 0.175539i | ||||
\(333\) | −2.86659 | + | 2.65980i | −0.157088 | + | 0.145756i | ||||
\(334\) | −10.8295 | + | 7.38344i | −0.592565 | + | 0.404004i | ||||
\(335\) | −0.318212 | + | 1.39418i | −0.0173858 | + | 0.0761721i | ||||
\(336\) | 3.91585 | + | 1.60658i | 0.213627 | + | 0.0876464i | ||||
\(337\) | −5.56058 | − | 24.3625i | −0.302904 | − | 1.32711i | −0.865721 | − | 0.500527i | \(-0.833139\pi\) |
0.562817 | − | 0.826582i | \(-0.309718\pi\) | |||||||
\(338\) | −6.22485 | − | 5.77582i | −0.338587 | − | 0.314163i | ||||
\(339\) | −26.5428 | − | 4.00069i | −1.44161 | − | 0.217288i | ||||
\(340\) | 0.734709 | − | 0.226628i | 0.0398452 | − | 0.0122906i | ||||
\(341\) | −0.00481451 | + | 0.0642452i | −0.000260720 | + | 0.00347907i | ||||
\(342\) | 2.18719 | 0.118270 | ||||||||
\(343\) | 7.25975 | + | 17.0381i | 0.391990 | + | 0.919970i | ||||
\(344\) | 9.77554 | 0.527062 | ||||||||
\(345\) | −0.115396 | + | 1.53986i | −0.00621273 | + | 0.0829031i | ||||
\(346\) | 5.82560 | − | 1.79696i | 0.313186 | − | 0.0966052i | ||||
\(347\) | −20.7503 | − | 3.12761i | −1.11394 | − | 0.167899i | −0.433818 | − | 0.901001i | \(-0.642834\pi\) |
−0.680119 | + | 0.733102i | \(0.738072\pi\) | |||||||
\(348\) | 0.938705 | + | 0.870991i | 0.0503199 | + | 0.0466900i | ||||
\(349\) | −6.66288 | − | 29.1920i | −0.356656 | − | 1.56261i | −0.761462 | − | 0.648209i | \(-0.775518\pi\) |
0.404807 | − | 0.914402i | \(-0.367339\pi\) | |||||||
\(350\) | 12.1440 | + | 4.98239i | 0.649122 | + | 0.266320i | ||||
\(351\) | 2.60067 | − | 11.3943i | 0.138814 | − | 0.608182i | ||||
\(352\) | 3.03693 | − | 2.07055i | 0.161869 | − | 0.110360i | ||||
\(353\) | 1.13992 | − | 1.05769i | 0.0606717 | − | 0.0562951i | −0.649254 | − | 0.760571i | \(-0.724919\pi\) |
0.709926 | + | 0.704276i | \(0.248728\pi\) | |||||||
\(354\) | −18.9356 | − | 12.9101i | −1.00642 | − | 0.686164i | ||||
\(355\) | −1.96224 | + | 0.295760i | −0.104145 | + | 0.0156973i | ||||
\(356\) | −12.0796 | + | 5.81723i | −0.640218 | + | 0.308313i | ||||
\(357\) | 7.40353 | − | 14.7891i | 0.391836 | − | 0.782720i | ||||
\(358\) | −10.4000 | − | 5.00838i | −0.549658 | − | 0.264701i | ||||
\(359\) | 18.6430 | + | 5.75059i | 0.983938 | + | 0.303505i | 0.744658 | − | 0.667446i | \(-0.232612\pi\) |
0.239280 | + | 0.970951i | \(0.423089\pi\) | |||||||
\(360\) | 0.0316819 | − | 0.0807242i | 0.00166978 | − | 0.00425454i | ||||
\(361\) | −2.81504 | − | 4.87579i | −0.148160 | − | 0.256620i | ||||
\(362\) | 3.15811 | − | 5.47001i | 0.165987 | − | 0.287497i | ||||
\(363\) | 2.50370 | + | 3.13954i | 0.131410 | + | 0.164783i | ||||
\(364\) | 5.59486 | + | 0.505663i | 0.293250 | + | 0.0265040i | ||||
\(365\) | −0.0657544 | + | 0.0824534i | −0.00344174 | + | 0.00431581i | ||||
\(366\) | 5.83580 | + | 14.8694i | 0.305042 | + | 0.777235i | ||||
\(367\) | −0.553681 | − | 7.38836i | −0.0289019 | − | 0.385669i | −0.992832 | − | 0.119515i | \(-0.961866\pi\) |
0.963930 | − | 0.266154i | \(-0.0857530\pi\) | |||||||
\(368\) | −0.366584 | − | 4.89172i | −0.0191095 | − | 0.254999i | ||||
\(369\) | −0.311988 | − | 0.794933i | −0.0162415 | − | 0.0413826i | ||||
\(370\) | 1.08859 | − | 1.36505i | 0.0565930 | − | 0.0709654i | ||||
\(371\) | 3.90060 | + | 2.33249i | 0.202509 | + | 0.121097i | ||||
\(372\) | 0.0174830 | + | 0.0219230i | 0.000906452 | + | 0.00113665i | ||||
\(373\) | 14.0282 | − | 24.2975i | 0.726351 | − | 1.25808i | −0.232065 | − | 0.972700i | \(-0.574548\pi\) |
0.958416 | − | 0.285376i | \(-0.0921185\pi\) | |||||||
\(374\) | −7.18112 | − | 12.4381i | −0.371327 | − | 0.643157i | ||||
\(375\) | −1.14560 | + | 2.91893i | −0.0591584 | + | 0.150733i | ||||
\(376\) | 6.35852 | + | 1.96134i | 0.327915 | + | 0.101149i | ||||
\(377\) | 1.53127 | + | 0.737420i | 0.0788643 | + | 0.0379791i | ||||
\(378\) | −6.11679 | − | 13.2163i | −0.314614 | − | 0.679775i | ||||
\(379\) | 10.4271 | − | 5.02142i | 0.535603 | − | 0.257933i | −0.146472 | − | 0.989215i | \(-0.546792\pi\) |
0.682075 | + | 0.731282i | \(0.261078\pi\) | |||||||
\(380\) | −0.965636 | + | 0.145546i | −0.0495361 | + | 0.00746636i | ||||
\(381\) | −22.7651 | − | 15.5210i | −1.16629 | − | 0.795166i | ||||
\(382\) | 13.4230 | − | 12.4547i | 0.686780 | − | 0.637238i | ||||
\(383\) | −29.8737 | + | 20.3676i | −1.52648 | + | 1.04073i | −0.547488 | + | 0.836813i | \(0.684416\pi\) |
−0.978987 | + | 0.203920i | \(0.934632\pi\) | |||||||
\(384\) | 0.355984 | − | 1.55967i | 0.0181662 | − | 0.0795915i | ||||
\(385\) | −0.314180 | + | 1.88757i | −0.0160121 | + | 0.0961995i | ||||
\(386\) | 3.26076 | + | 14.2863i | 0.165968 | + | 0.727155i | ||||
\(387\) | −3.15813 | − | 2.93032i | −0.160537 | − | 0.148956i | ||||
\(388\) | 14.6657 | + | 2.21049i | 0.744536 | + | 0.112221i | ||||
\(389\) | −3.72117 | + | 1.14783i | −0.188671 | + | 0.0581972i | −0.387651 | − | 0.921806i | \(-0.626713\pi\) |
0.198980 | + | 0.980004i | \(0.436237\pi\) | |||||||
\(390\) | −0.0499483 | + | 0.666514i | −0.00252923 | + | 0.0337502i | ||||
\(391\) | −19.1677 | −0.969354 | ||||||||
\(392\) | 5.90187 | − | 3.76403i | 0.298090 | − | 0.190112i | ||||
\(393\) | 6.88885 | 0.347496 | ||||||||
\(394\) | 0.867077 | − | 11.5703i | 0.0436827 | − | 0.582905i | ||||
\(395\) | −1.34875 | + | 0.416035i | −0.0678631 | + | 0.0209330i | ||||
\(396\) | −1.60179 | − | 0.241431i | −0.0804930 | − | 0.0121324i | ||||
\(397\) | 8.47918 | + | 7.86753i | 0.425558 | + | 0.394860i | 0.863668 | − | 0.504061i | \(-0.168161\pi\) |
−0.438110 | + | 0.898921i | \(0.644352\pi\) | |||||||
\(398\) | −1.51336 | − | 6.63045i | −0.0758577 | − | 0.332354i | ||||
\(399\) | −12.0978 | + | 17.1724i | −0.605648 | + | 0.859695i | ||||
\(400\) | 1.10399 | − | 4.83689i | 0.0551995 | − | 0.241845i | ||||
\(401\) | −14.4114 | + | 9.82550i | −0.719669 | + | 0.490662i | −0.866926 | − | 0.498436i | \(-0.833908\pi\) |
0.147257 | + | 0.989098i | \(0.452956\pi\) | |||||||
\(402\) | 8.52279 | − | 7.90799i | 0.425078 | − | 0.394415i | ||||
\(403\) | 0.0307496 | + | 0.0209647i | 0.00153175 | + | 0.00104433i | ||||
\(404\) | −12.0131 | + | 1.81068i | −0.597672 | + | 0.0900846i | ||||
\(405\) | 1.32673 | − | 0.638918i | 0.0659255 | − | 0.0317481i | ||||
\(406\) | 2.07168 | − | 0.439537i | 0.102816 | − | 0.0218138i | ||||
\(407\) | −29.3843 | − | 14.1507i | −1.45653 | − | 0.701426i | ||||
\(408\) | −5.97333 | − | 1.84253i | −0.295724 | − | 0.0912187i | ||||
\(409\) | −6.41167 | + | 16.3367i | −0.317037 | + | 0.807796i | 0.680167 | + | 0.733058i | \(0.261907\pi\) |
−0.997203 | + | 0.0747385i | \(0.976188\pi\) | |||||||
\(410\) | 0.190640 | + | 0.330198i | 0.00941504 | + | 0.0163073i | ||||
\(411\) | 7.75774 | − | 13.4368i | 0.382661 | − | 0.662788i | ||||
\(412\) | −9.12489 | − | 11.4422i | −0.449551 | − | 0.563719i | ||||
\(413\) | −35.4903 | + | 13.3045i | −1.74636 | + | 0.654674i | ||||
\(414\) | −1.34791 | + | 1.69023i | −0.0662463 | + | 0.0830702i | ||||
\(415\) | −0.408172 | − | 1.04001i | −0.0200364 | − | 0.0510519i | ||||
\(416\) | −0.158673 | − | 2.11734i | −0.00777957 | − | 0.103811i | ||||
\(417\) | −2.08591 | − | 27.8345i | −0.102147 | − | 1.36306i | ||||
\(418\) | 6.66440 | + | 16.9806i | 0.325966 | + | 0.830549i | ||||
\(419\) | −10.9814 | + | 13.7703i | −0.536478 | + | 0.672723i | −0.974016 | − | 0.226477i | \(-0.927279\pi\) |
0.437538 | + | 0.899200i | \(0.355851\pi\) | |||||||
\(420\) | 0.458554 | + | 0.695247i | 0.0223752 | + | 0.0339246i | ||||
\(421\) | 10.8224 | + | 13.5709i | 0.527451 | + | 0.661403i | 0.972173 | − | 0.234266i | \(-0.0752687\pi\) |
−0.444721 | + | 0.895669i | \(0.646697\pi\) | |||||||
\(422\) | 8.93238 | − | 15.4713i | 0.434822 | − | 0.753133i | ||||
\(423\) | −1.46628 | − | 2.53967i | −0.0712929 | − | 0.123483i | ||||
\(424\) | 0.627573 | − | 1.59903i | 0.0304777 | − | 0.0776558i | ||||
\(425\) | −18.5247 | − | 5.71410i | −0.898579 | − | 0.277175i | ||||
\(426\) | 14.5358 | + | 7.00009i | 0.704264 | + | 0.339156i | ||||
\(427\) | 25.6620 | + | 6.27270i | 1.24187 | + | 0.303557i | ||||
\(428\) | 13.3794 | − | 6.44319i | 0.646718 | − | 0.311443i | ||||
\(429\) | 12.3458 | − | 1.86082i | 0.596059 | − | 0.0898415i | ||||
\(430\) | 1.58930 | + | 1.08356i | 0.0766427 | + | 0.0522541i | ||||
\(431\) | −11.5057 | + | 10.6757i | −0.554208 | + | 0.514230i | −0.906808 | − | 0.421544i | \(-0.861488\pi\) |
0.352600 | + | 0.935774i | \(0.385298\pi\) | |||||||
\(432\) | −4.54793 | + | 3.10072i | −0.218812 | + | 0.149184i | ||||
\(433\) | −4.27028 | + | 18.7093i | −0.205217 | + | 0.899113i | 0.762483 | + | 0.647008i | \(0.223980\pi\) |
−0.967700 | + | 0.252105i | \(0.918877\pi\) | |||||||
\(434\) | 0.0462922 | − | 0.00275600i | 0.00222210 | − | 0.000132292i | ||||
\(435\) | 0.0560691 | + | 0.245655i | 0.00268831 | + | 0.0117782i | ||||
\(436\) | 2.35337 | + | 2.18361i | 0.112706 | + | 0.104576i | ||||
\(437\) | 24.0732 | + | 3.62844i | 1.15158 | + | 0.173572i | ||||
\(438\) | 0.819333 | − | 0.252731i | 0.0391492 | − | 0.0120759i | ||||
\(439\) | 0.451112 | − | 6.01967i | 0.0215304 | − | 0.287303i | −0.976038 | − | 0.217602i | \(-0.930176\pi\) |
0.997568 | − | 0.0697010i | \(-0.0222045\pi\) | |||||||
\(440\) | 0.723250 | 0.0344796 | ||||||||
\(441\) | −3.03499 | − | 0.553123i | −0.144523 | − | 0.0263392i | ||||
\(442\) | −8.29659 | −0.394629 | ||||||||
\(443\) | −0.0468400 | + | 0.625036i | −0.00222543 | + | 0.0296963i | −0.998206 | − | 0.0598736i | \(-0.980930\pi\) |
0.995981 | + | 0.0895700i | \(0.0285493\pi\) | |||||||
\(444\) | −13.5644 | + | 4.18405i | −0.643736 | + | 0.198566i | ||||
\(445\) | −2.60870 | − | 0.393198i | −0.123664 | − | 0.0186394i | ||||
\(446\) | −12.4848 | − | 11.5842i | −0.591173 | − | 0.548528i | ||||
\(447\) | 4.73600 | + | 20.7498i | 0.224005 | + | 0.981430i | ||||
\(448\) | −1.76962 | − | 1.96684i | −0.0836065 | − | 0.0929245i | ||||
\(449\) | −4.20152 | + | 18.4081i | −0.198282 | + | 0.868731i | 0.773677 | + | 0.633580i | \(0.218415\pi\) |
−0.971959 | + | 0.235150i | \(0.924442\pi\) | |||||||
\(450\) | −1.80657 | + | 1.23170i | −0.0851623 | + | 0.0580627i | ||||
\(451\) | 5.22095 | − | 4.84434i | 0.245845 | − | 0.228111i | ||||
\(452\) | 13.8635 | + | 9.45194i | 0.652082 | + | 0.444582i | ||||
\(453\) | 13.8699 | − | 2.09055i | 0.651665 | − | 0.0982226i | ||||
\(454\) | 2.21319 | − | 1.06582i | 0.103870 | − | 0.0500213i | ||||
\(455\) | 0.853556 | + | 0.702369i | 0.0400153 | + | 0.0329276i | ||||
\(456\) | 7.15323 | + | 3.44481i | 0.334981 | + | 0.161318i | ||||
\(457\) | 13.2386 | + | 4.08356i | 0.619275 | + | 0.191021i | 0.588489 | − | 0.808505i | \(-0.299723\pi\) |
0.0307856 | + | 0.999526i | \(0.490199\pi\) | |||||||
\(458\) | 2.56843 | − | 6.54424i | 0.120015 | − | 0.305792i | ||||
\(459\) | 10.7540 | + | 18.6265i | 0.501955 | + | 0.869411i | ||||
\(460\) | 0.482622 | − | 0.835925i | 0.0225023 | − | 0.0389752i | ||||
\(461\) | 20.1828 | + | 25.3084i | 0.940007 | + | 1.17873i | 0.983724 | + | 0.179687i | \(0.0575085\pi\) |
−0.0437171 | + | 0.999044i | \(0.513920\pi\) | |||||||
\(462\) | 10.7554 | − | 11.2408i | 0.500386 | − | 0.522970i | ||||
\(463\) | 3.23684 | − | 4.05887i | 0.150429 | − | 0.188632i | −0.700907 | − | 0.713252i | \(-0.747221\pi\) |
0.851336 | + | 0.524621i | \(0.175793\pi\) | |||||||
\(464\) | −0.292438 | − | 0.745119i | −0.0135761 | − | 0.0345913i | ||||
\(465\) | 0.000412326 | 0.00550211i | 1.91212e−5 | 0.000255154i | ||||||
\(466\) | 0.881236 | + | 11.7593i | 0.0408225 | + | 0.544738i | ||||
\(467\) | −1.70393 | − | 4.34154i | −0.0788484 | − | 0.200902i | 0.886014 | − | 0.463659i | \(-0.153464\pi\) |
−0.964862 | + | 0.262756i | \(0.915368\pi\) | |||||||
\(468\) | −0.583432 | + | 0.731601i | −0.0269692 | + | 0.0338183i | ||||
\(469\) | −2.57390 | − | 19.0551i | −0.118852 | − | 0.879881i | ||||
\(470\) | 0.816357 | + | 1.02368i | 0.0376557 | + | 0.0472188i | ||||
\(471\) | −18.3644 | + | 31.8081i | −0.846187 | + | 1.46564i | ||||
\(472\) | 7.16283 | + | 12.4064i | 0.329696 | + | 0.571050i | ||||
\(473\) | 13.1271 | − | 33.4473i | 0.603585 | − | 1.53791i | ||||
\(474\) | 10.9656 | + | 3.38245i | 0.503668 | + | 0.155361i | ||||
\(475\) | 22.1838 | + | 10.6832i | 1.01786 | + | 0.490177i | ||||
\(476\) | −8.18057 | + | 6.32101i | −0.374956 | + | 0.289723i | ||||
\(477\) | −0.682072 | + | 0.328468i | −0.0312299 | + | 0.0150395i | ||||
\(478\) | −12.9432 | + | 1.95088i | −0.592009 | + | 0.0892311i | ||||
\(479\) | 5.00626 | + | 3.41321i | 0.228742 | + | 0.155954i | 0.672268 | − | 0.740308i | \(-0.265320\pi\) |
−0.443526 | + | 0.896261i | \(0.646273\pi\) | |||||||
\(480\) | 0.230756 | − | 0.214110i | 0.0105325 | − | 0.00977275i | ||||
\(481\) | −15.5664 | + | 10.6130i | −0.709767 | + | 0.483911i | ||||
\(482\) | −2.50405 | + | 10.9710i | −0.114056 | + | 0.499713i | ||||
\(483\) | −5.81499 | − | 19.9319i | −0.264591 | − | 0.906934i | ||||
\(484\) | −0.558553 | − | 2.44718i | −0.0253888 | − | 0.111236i | ||||
\(485\) | 2.13931 | + | 1.98499i | 0.0971409 | + | 0.0901336i | ||||
\(486\) | 4.49024 | + | 0.676795i | 0.203682 | + | 0.0307001i | ||||
\(487\) | 5.66957 | − | 1.74883i | 0.256913 | − | 0.0792471i | −0.163623 | − | 0.986523i | \(-0.552318\pi\) |
0.420536 | + | 0.907276i | \(0.361842\pi\) | |||||||
\(488\) | 0.746170 | − | 9.95695i | 0.0337775 | − | 0.450730i | ||||
\(489\) | 4.10765 | 0.185754 | ||||||||
\(490\) | 1.37674 | + | 0.0422386i | 0.0621948 | + | 0.00190814i | ||||
\(491\) | −7.10630 | −0.320703 | −0.160352 | − | 0.987060i | \(-0.551263\pi\) | ||||
−0.160352 | + | 0.987060i | \(0.551263\pi\) | |||||||
\(492\) | 0.231654 | − | 3.09121i | 0.0104438 | − | 0.139363i | ||||
\(493\) | −2.98876 | + | 0.921911i | −0.134607 | + | 0.0415208i | ||||
\(494\) | 10.4199 | + | 1.57054i | 0.468812 | + | 0.0706620i | ||||
\(495\) | −0.233656 | − | 0.216801i | −0.0105021 | − | 0.00974449i | ||||
\(496\) | −0.00390030 | − | 0.0170883i | −0.000175129 | − | 0.000767289i | ||||
\(497\) | 23.3092 | − | 12.9851i | 1.04556 | − | 0.582463i | ||||
\(498\) | −2.02123 | + | 8.85561i | −0.0905737 | + | 0.396829i | ||||
\(499\) | 10.8119 | − | 7.37142i | 0.484007 | − | 0.329990i | −0.296612 | − | 0.954998i | \(-0.595857\pi\) |
0.780618 | + | 0.625008i | \(0.214904\pi\) | |||||||
\(500\) | 1.43684 | − | 1.33319i | 0.0642575 | − | 0.0596222i | ||||
\(501\) | 17.3248 | + | 11.8119i | 0.774016 | + | 0.527715i | ||||
\(502\) | −12.5384 | + | 1.88987i | −0.559618 | + | 0.0843488i | ||||
\(503\) | 0.870907 | − | 0.419407i | 0.0388318 | − | 0.0187004i | −0.414367 | − | 0.910110i | \(-0.635997\pi\) |
0.453199 | + | 0.891409i | \(0.350283\pi\) | |||||||
\(504\) | −0.0178804 | + | 1.16588i | −0.000796456 | + | 0.0519322i | ||||
\(505\) | −2.15377 | − | 1.03720i | −0.0958416 | − | 0.0461549i | ||||
\(506\) | −17.2295 | − | 5.31458i | −0.765943 | − | 0.236262i | ||||
\(507\) | −4.96309 | + | 12.6457i | −0.220419 | + | 0.561617i | ||||
\(508\) | 8.61143 | + | 14.9154i | 0.382070 | + | 0.661765i | ||||
\(509\) | 6.80981 | − | 11.7949i | 0.301840 | − | 0.522801i | −0.674713 | − | 0.738080i | \(-0.735733\pi\) |
0.976553 | + | 0.215279i | \(0.0690660\pi\) | |||||||
\(510\) | −0.766903 | − | 0.961666i | −0.0339590 | − | 0.0425833i | ||||
\(511\) | 0.438702 | − | 1.34846i | 0.0194070 | − | 0.0596525i | ||||
\(512\) | −0.623490 | + | 0.781831i | −0.0275546 | + | 0.0345524i | ||||
\(513\) | −9.98020 | − | 25.4291i | −0.440637 | − | 1.12272i | ||||
\(514\) | −1.69162 | − | 22.5731i | −0.0746141 | − | 0.995656i | ||||
\(515\) | −0.215205 | − | 2.87171i | −0.00948307 | − | 0.126543i | ||||
\(516\) | −5.71346 | − | 14.5577i | −0.251521 | − | 0.640865i | ||||
\(517\) | 15.2493 | − | 19.1221i | 0.670665 | − | 0.840987i | ||||
\(518\) | −7.26288 | + | 22.3243i | −0.319112 | + | 0.980875i | ||||
\(519\) | −6.08088 | − | 7.62518i | −0.266921 | − | 0.334708i | ||||
\(520\) | 0.208899 | − | 0.361823i | 0.00916081 | − | 0.0158670i | ||||
\(521\) | 10.5561 | + | 18.2836i | 0.462469 | + | 0.801020i | 0.999083 | − | 0.0428074i | \(-0.0136302\pi\) |
−0.536614 | + | 0.843828i | \(0.680297\pi\) | |||||||
\(522\) | −0.128881 | + | 0.328382i | −0.00564095 | + | 0.0143729i | ||||
\(523\) | 2.30274 | + | 0.710302i | 0.100692 | + | 0.0310594i | 0.344692 | − | 0.938716i | \(-0.387983\pi\) |
−0.244000 | + | 0.969775i | \(0.578460\pi\) | |||||||
\(524\) | −3.87969 | − | 1.86836i | −0.169485 | − | 0.0816196i | ||||
\(525\) | 0.322015 | − | 20.9967i | 0.0140539 | − | 0.916372i | ||||
\(526\) | −11.1580 | + | 5.37343i | −0.486514 | + | 0.234293i | ||||
\(527\) | −0.0677239 | + | 0.0102077i | −0.00295010 | + | 0.000444656i | ||||
\(528\) | −4.85842 | − | 3.31241i | −0.211435 | − | 0.144154i | ||||
\(529\) | −0.779496 | + | 0.723267i | −0.0338911 | + | 0.0314464i | ||||
\(530\) | 0.279274 | − | 0.190406i | 0.0121309 | − | 0.00827069i | ||||
\(531\) | 1.40488 | − | 6.15519i | 0.0609667 | − | 0.267113i | ||||
\(532\) | 11.4707 | − | 6.39011i | 0.497318 | − | 0.277046i | ||||
\(533\) | −0.915510 | − | 4.01111i | −0.0396552 | − | 0.173741i | ||||
\(534\) | 15.7231 | + | 14.5889i | 0.680404 | + | 0.631323i | ||||
\(535\) | 2.88940 | + | 0.435507i | 0.124920 | + | 0.0188286i | ||||
\(536\) | −6.94466 | + | 2.14215i | −0.299964 | + | 0.0925266i | ||||
\(537\) | −1.38000 | + | 18.4148i | −0.0595514 | + | 0.794658i | ||||
\(538\) | 17.8828 | 0.770982 | ||||||||
\(539\) | −4.95339 | − | 25.2480i | −0.213357 | − | 1.08751i | ||||
\(540\) | −1.08309 | −0.0466090 | ||||||||
\(541\) | 0.118847 | − | 1.58590i | 0.00510962 | − | 0.0681831i | −0.994066 | − | 0.108778i | \(-0.965306\pi\) |
0.999176 | + | 0.0405949i | \(0.0129253\pi\) | |||||||
\(542\) | −5.08711 | + | 1.56917i | −0.218510 | + | 0.0674015i | ||||
\(543\) | −9.99170 | − | 1.50601i | −0.428785 | − | 0.0646289i | ||||
\(544\) | 2.86436 | + | 2.65774i | 0.122808 | + | 0.113950i | ||||
\(545\) | 0.140568 | + | 0.615867i | 0.00602126 | + | 0.0263809i | ||||
\(546\) | −2.51697 | − | 8.62736i | −0.107716 | − | 0.369217i | ||||
\(547\) | 1.49828 | − | 6.56438i | 0.0640617 | − | 0.280673i | −0.932744 | − | 0.360540i | \(-0.882592\pi\) |
0.996806 | + | 0.0798671i | \(0.0254496\pi\) | |||||||
\(548\) | −8.01330 | + | 5.46337i | −0.342311 | + | 0.233384i | ||||
\(549\) | −3.22576 | + | 2.99306i | −0.137672 | + | 0.127741i | ||||
\(550\) | −15.0671 | − | 10.2726i | −0.642462 | − | 0.438023i | ||||
\(551\) | 3.92816 | − | 0.592075i | 0.167345 | − | 0.0252233i | ||||
\(552\) | −7.07046 | + | 3.40495i | −0.300939 | + | 0.144924i | ||||
\(553\) | 15.0176 | − | 11.6039i | 0.638613 | − | 0.493448i | ||||
\(554\) | 9.72355 | + | 4.68262i | 0.413114 | + | 0.198945i | ||||
\(555\) | −2.66906 | − | 0.823295i | −0.113295 | − | 0.0349469i | ||||
\(556\) | −6.37439 | + | 16.2417i | −0.270334 | + | 0.688800i | ||||
\(557\) | −5.10031 | − | 8.83400i | −0.216107 | − | 0.374309i | 0.737507 | − | 0.675339i | \(-0.236003\pi\) |
−0.953615 | + | 0.301030i | \(0.902669\pi\) | |||||||
\(558\) | −0.00386235 | + | 0.00668979i | −0.000163506 | + | 0.000283201i | ||||
\(559\) | −12.9413 | − | 16.2279i | −0.547358 | − | 0.686365i | ||||
\(560\) | −0.0696888 | − | 0.515919i | −0.00294489 | − | 0.0218015i | ||||
\(561\) | −14.3256 | + | 17.9637i | −0.604825 | + | 0.758427i | ||||
\(562\) | 11.8973 | + | 30.3137i | 0.501856 | + | 1.27871i | ||||
\(563\) | 2.11398 | + | 28.2090i | 0.0890935 | + | 1.18887i | 0.845211 | + | 0.534433i | \(0.179475\pi\) |
−0.756117 | + | 0.654436i | \(0.772906\pi\) | |||||||
\(564\) | −0.795513 | − | 10.6154i | −0.0334971 | − | 0.446988i | ||||
\(565\) | 1.20621 | + | 3.07337i | 0.0507456 | + | 0.129298i | ||||
\(566\) | 14.9188 | − | 18.7076i | 0.627083 | − | 0.786337i | ||||
\(567\) | −13.6883 | + | 14.3061i | −0.574855 | + | 0.600799i | ||||
\(568\) | −6.28782 | − | 7.88468i | −0.263831 | − | 0.330834i | ||||
\(569\) | −9.95541 | + | 17.2433i | −0.417352 | + | 0.722875i | −0.995672 | − | 0.0929347i | \(-0.970375\pi\) |
0.578320 | + | 0.815810i | \(0.303709\pi\) | |||||||
\(570\) | 0.781126 | + | 1.35295i | 0.0327178 | + | 0.0566688i | ||||
\(571\) | 3.05924 | − | 7.79483i | 0.128025 | − | 0.326203i | −0.852461 | − | 0.522791i | \(-0.824891\pi\) |
0.980486 | + | 0.196588i | \(0.0629861\pi\) | |||||||
\(572\) | −7.45762 | − | 2.30037i | −0.311819 | − | 0.0961833i | ||||
\(573\) | −26.3927 | − | 12.7101i | −1.10257 | − | 0.530970i | ||||
\(574\) | −3.95870 | − | 3.25751i | −0.165233 | − | 0.135966i | ||||
\(575\) | −21.9271 | + | 10.5595i | −0.914424 | + | 0.440364i | ||||
\(576\) | 0.435789 | − | 0.0656846i | 0.0181579 | − | 0.00273686i | ||||
\(577\) | 26.4022 | + | 18.0007i | 1.09914 | + | 0.749378i | 0.970208 | − | 0.242275i | \(-0.0778937\pi\) |
0.128929 | + | 0.991654i | \(0.458846\pi\) | |||||||
\(578\) | −1.26956 | + | 1.17798i | −0.0528065 | + | 0.0489973i | ||||
\(579\) | 19.3693 | − | 13.2057i | 0.804959 | − | 0.548812i | ||||
\(580\) | 0.0350481 | − | 0.153556i | 0.00145529 | − | 0.00637605i | ||||
\(581\) | 10.0477 | + | 11.1675i | 0.416847 | + | 0.463305i | ||||
\(582\) | −5.27971 | − | 23.1319i | −0.218851 | − | 0.958849i | ||||
\(583\) | −4.62839 | − | 4.29452i | −0.191688 | − | 0.177861i | ||||
\(584\) | −0.529979 | − | 0.0798815i | −0.0219307 | − | 0.00330552i | ||||
\(585\) | −0.175948 | + | 0.0542727i | −0.00727454 | + | 0.00224390i | ||||
\(586\) | −0.438807 | + | 5.85548i | −0.0181270 | + | 0.241887i | ||||
\(587\) | 0.421212 | 0.0173853 | 0.00869264 | − | 0.999962i | \(-0.497233\pi\) | ||||
0.00869264 | + | 0.999962i | \(0.497233\pi\) | |||||||
\(588\) | −9.05479 | − | 6.58908i | −0.373413 | − | 0.271729i | ||||
\(589\) | 0.0869882 | 0.00358428 | ||||||||
\(590\) | −0.210654 | + | 2.81098i | −0.00867247 | + | 0.115726i | ||||
\(591\) | −17.7372 | + | 5.47121i | −0.729612 | + | 0.225055i | ||||
\(592\) | 8.77401 | + | 1.32247i | 0.360609 | + | 0.0543531i | ||||
\(593\) | −21.1750 | − | 19.6476i | −0.869555 | − | 0.806829i | 0.112846 | − | 0.993612i | \(-0.464003\pi\) |
−0.982401 | + | 0.186784i | \(0.940194\pi\) | |||||||
\(594\) | 4.50203 | + | 19.7247i | 0.184720 | + | 0.809313i | ||||
\(595\) | −2.03064 | + | 0.120893i | −0.0832480 | + | 0.00495615i | ||||
\(596\) | 2.96041 | − | 12.9704i | 0.121263 | − | 0.531288i | ||||
\(597\) | −8.98950 | + | 6.12894i | −0.367916 | + | 0.250841i | ||||
\(598\) | −7.63519 | + | 7.08442i | −0.312226 | + | 0.289703i | ||||
\(599\) | 5.36021 | + | 3.65453i | 0.219012 | + | 0.149320i | 0.667857 | − | 0.744290i | \(-0.267212\pi\) |
−0.448844 | + | 0.893610i | \(0.648164\pi\) | |||||||
\(600\) | −7.84830 | + | 1.18294i | −0.320405 | + | 0.0482933i | ||||
\(601\) | −4.80424 | + | 2.31360i | −0.195969 | + | 0.0943737i | −0.529295 | − | 0.848438i | \(-0.677543\pi\) |
0.333326 | + | 0.942812i | \(0.391829\pi\) | |||||||
\(602\) | −25.1240 | − | 6.14120i | −1.02398 | − | 0.250296i | ||||
\(603\) | 2.88570 | + | 1.38968i | 0.117515 | + | 0.0565922i | ||||
\(604\) | −8.37829 | − | 2.58436i | −0.340908 | − | 0.105156i | ||||
\(605\) | 0.180448 | − | 0.459773i | 0.00733623 | − | 0.0186924i | ||||
\(606\) | 9.71765 | + | 16.8315i | 0.394752 | + | 0.683731i | ||||
\(607\) | 3.78912 | − | 6.56294i | 0.153796 | − | 0.266382i | −0.778824 | − | 0.627242i | \(-0.784184\pi\) |
0.932620 | + | 0.360861i | \(0.117517\pi\) | |||||||
\(608\) | −3.09430 | − | 3.88013i | −0.125490 | − | 0.157360i | ||||
\(609\) | −1.86538 | − | 2.82823i | −0.0755889 | − | 0.114606i | ||||
\(610\) | 1.22498 | − | 1.53608i | 0.0495982 | − | 0.0621941i | ||||
\(611\) | −5.16175 | − | 13.1519i | −0.208822 | − | 0.532070i | ||||
\(612\) | −0.128689 | − | 1.71724i | −0.00520196 | − | 0.0694153i | ||||
\(613\) | 2.23150 | + | 29.7774i | 0.0901296 | + | 1.20270i | 0.840549 | + | 0.541735i | \(0.182232\pi\) |
−0.750420 | + | 0.660961i | \(0.770149\pi\) | |||||||
\(614\) | 6.21761 | + | 15.8422i | 0.250922 | + | 0.639340i | ||||
\(615\) | 0.380306 | − | 0.476889i | 0.0153354 | − | 0.0192300i | ||||
\(616\) | −9.10593 | + | 3.41362i | −0.366889 | + | 0.137539i | ||||
\(617\) | −23.2601 | − | 29.1672i | −0.936416 | − | 1.17423i | −0.984500 | − | 0.175386i | \(-0.943883\pi\) |
0.0480833 | − | 0.998843i | \(-0.484689\pi\) | |||||||
\(618\) | −11.7065 | + | 20.2763i | −0.470905 | + | 0.815632i | ||||
\(619\) | −10.2390 | − | 17.7345i | −0.411541 | − | 0.712811i | 0.583517 | − | 0.812101i | \(-0.301676\pi\) |
−0.995059 | + | 0.0992902i | \(0.968343\pi\) | |||||||
\(620\) | 0.00126004 | − | 0.00321053i | 5.06044e−5 | − | 0.000128938i | ||||
\(621\) | 25.8018 | + | 7.95880i | 1.03539 | + | 0.319376i | ||||
\(622\) | 21.5033 | + | 10.3555i | 0.862206 | + | 0.415216i | ||||
\(623\) | 34.7001 | − | 7.36213i | 1.39023 | − | 0.294958i | ||||
\(624\) | −3.06039 | + | 1.47380i | −0.122514 | + | 0.0589994i | ||||
\(625\) | −24.1480 | + | 3.63972i | −0.965919 | + | 0.145589i | ||||
\(626\) | 10.1954 | + | 6.95109i | 0.407489 | + | 0.277822i | ||||
\(627\) | 21.3923 | − | 19.8491i | 0.854325 | − | 0.792698i | ||||
\(628\) | 18.9694 | − | 12.9331i | 0.756960 | − | 0.516087i | ||||
\(629\) | 7.71507 | − | 33.8019i | 0.307620 | − | 1.34777i | ||||
\(630\) | −0.132138 | + | 0.187565i | −0.00526450 | + | 0.00747276i | ||||
\(631\) | 5.07634 | + | 22.2409i | 0.202086 | + | 0.885396i | 0.969664 | + | 0.244441i | \(0.0786044\pi\) |
−0.767578 | + | 0.640955i | \(0.778538\pi\) | |||||||
\(632\) | −5.25829 | − | 4.87898i | −0.209164 | − | 0.194075i | ||||
\(633\) | −28.2604 | − | 4.25958i | −1.12325 | − | 0.169303i | ||||
\(634\) | −0.391063 | + | 0.120627i | −0.0155311 | + | 0.00479071i | ||||
\(635\) | −0.253256 | + | 3.37946i | −0.0100502 | + | 0.134110i | ||||
\(636\) | −2.74806 | −0.108968 | ||||||||
\(637\) | −14.0616 | − | 4.81440i | −0.557141 | − | 0.190754i | ||||
\(638\) | −2.94215 | −0.116481 | ||||||||
\(639\) | −0.332140 | + | 4.43209i | −0.0131392 | + | 0.175331i | ||||
\(640\) | −0.188028 | + | 0.0579989i | −0.00743246 | + | 0.00229261i | ||||
\(641\) | −11.4914 | − | 1.73205i | −0.453883 | − | 0.0684118i | −0.0818773 | − | 0.996642i | \(-0.526092\pi\) |
−0.372005 | + | 0.928231i | \(0.621330\pi\) | |||||||
\(642\) | −17.4149 | − | 16.1587i | −0.687312 | − | 0.637733i | ||||
\(643\) | −8.66781 | − | 37.9761i | −0.341825 | − | 1.49763i | −0.795219 | − | 0.606323i | \(-0.792644\pi\) |
0.453394 | − | 0.891310i | \(-0.350213\pi\) | |||||||
\(644\) | −2.13093 | + | 12.8024i | −0.0839703 | + | 0.504487i | ||||
\(645\) | 0.684747 | − | 3.00007i | 0.0269619 | − | 0.118128i | ||||
\(646\) | −16.0225 | + | 10.9240i | −0.630398 | + | 0.429798i | ||||
\(647\) | 30.8095 | − | 28.5870i | 1.21125 | − | 1.12387i | 0.222397 | − | 0.974956i | \(-0.428612\pi\) |
0.988850 | − | 0.148917i | \(-0.0475786\pi\) | |||||||
\(648\) | 6.18327 | + | 4.21568i | 0.242902 | + | 0.165608i | ||||
\(649\) | 52.0675 | − | 7.84791i | 2.04383 | − | 0.308057i | ||||
\(650\) | −9.49097 | + | 4.57061i | −0.372266 | + | 0.179274i | ||||
\(651\) | −0.0311604 | − | 0.0673272i | −0.00122127 | − | 0.00263876i | ||||
\(652\) | −2.31336 | − | 1.11406i | −0.0905981 | − | 0.0436298i | ||||
\(653\) | 12.6974 | + | 3.91663i | 0.496888 | + | 0.153270i | 0.533063 | − | 0.846076i | \(-0.321041\pi\) |
−0.0361744 | + | 0.999345i | \(0.511517\pi\) | |||||||
\(654\) | 1.87635 | − | 4.78087i | 0.0733711 | − | 0.186947i | ||||
\(655\) | −0.423658 | − | 0.733797i | −0.0165537 | − | 0.0286718i | ||||
\(656\) | −0.968848 | + | 1.67809i | −0.0378272 | + | 0.0655185i | ||||
\(657\) | 0.147272 | + | 0.184673i | 0.00574563 | + | 0.00720480i | ||||
\(658\) | −15.1098 | − | 9.03537i | −0.589040 | − | 0.352235i | ||||
\(659\) | 0.317674 | − | 0.398351i | 0.0123748 | − | 0.0155175i | −0.775606 | − | 0.631218i | \(-0.782555\pi\) |
0.787980 | + | 0.615700i | \(0.211127\pi\) | |||||||
\(660\) | −0.422714 | − | 1.07706i | −0.0164541 | − | 0.0419244i | ||||
\(661\) | −0.0694395 | − | 0.926606i | −0.00270088 | − | 0.0360408i | 0.995691 | − | 0.0927383i | \(-0.0295620\pi\) |
−0.998391 | + | 0.0566975i | \(0.981943\pi\) | |||||||
\(662\) | −0.220105 | − | 2.93710i | −0.00855463 | − | 0.114154i | ||||
\(663\) | 4.84906 | + | 12.3552i | 0.188322 | + | 0.479837i | ||||
\(664\) | 3.54010 | − | 4.43915i | 0.137383 | − | 0.172272i | ||||
\(665\) | 2.57320 | + | 0.232566i | 0.0997845 | + | 0.00901852i | ||||
\(666\) | −2.43815 | − | 3.05734i | −0.0944762 | − | 0.118469i | ||||
\(667\) | −1.96328 | + | 3.40050i | −0.0760186 | + | 0.131668i | ||||
\(668\) | −6.55350 | − | 11.3510i | −0.253563 | − | 0.439183i | ||||
\(669\) | −9.95417 | + | 25.3628i | −0.384850 | + | 0.980583i | ||||
\(670\) | −1.36650 | − | 0.421510i | −0.0527925 | − | 0.0162843i | ||||
\(671\) | −33.0660 | − | 15.9238i | −1.27650 | − | 0.614730i | ||||
\(672\) | −1.89472 | + | 3.78484i | −0.0730906 | + | 0.146004i | ||||
\(673\) | −28.3312 | + | 13.6436i | −1.09209 | + | 0.525922i | −0.891162 | − | 0.453684i | \(-0.850109\pi\) |
−0.200926 | + | 0.979606i | \(0.564395\pi\) | |||||||
\(674\) | 24.7099 | − | 3.72442i | 0.951790 | − | 0.143459i | ||||
\(675\) | 22.5635 | + | 15.3836i | 0.868471 | + | 0.592114i | ||||
\(676\) | 6.22485 | − | 5.77582i | 0.239417 | − | 0.222147i | ||||
\(677\) | −2.63298 | + | 1.79514i | −0.101194 | + | 0.0689927i | −0.612860 | − | 0.790192i | \(-0.709981\pi\) |
0.511666 | + | 0.859184i | \(0.329029\pi\) | |||||||
\(678\) | 5.97305 | − | 26.1697i | 0.229394 | − | 1.00504i | ||||
\(679\) | −36.3033 | − | 14.8944i | −1.39319 | − | 0.571595i | ||||
\(680\) | 0.171089 | + | 0.749590i | 0.00656097 | + | 0.0287455i | ||||
\(681\) | −2.88074 | − | 2.67293i | −0.110390 | − | 0.102427i | ||||
\(682\) | −0.0637058 | − | 0.00960210i | −0.00243942 | − | 0.000367683i | ||||
\(683\) | 8.44697 | − | 2.60554i | 0.323214 | − | 0.0996984i | −0.128902 | − | 0.991657i | \(-0.541145\pi\) |
0.452116 | + | 0.891959i | \(0.350669\pi\) | |||||||
\(684\) | −0.163449 | + | 2.18108i | −0.00624964 | + | 0.0833956i | ||||
\(685\) | −1.90838 | −0.0729153 | ||||||||
\(686\) | −17.5330 | + | 5.96619i | −0.669411 | + | 0.227790i | ||||
\(687\) | −11.2468 | −0.429091 | ||||||||
\(688\) | −0.730527 | + | 9.74821i | −0.0278511 | + | 0.371647i | ||||
\(689\) | −3.48527 | + | 1.07506i | −0.132778 | + | 0.0409567i | ||||
\(690\) | −1.52693 | − | 0.230147i | −0.0581291 | − | 0.00876156i | ||||
\(691\) | 12.9815 | + | 12.0451i | 0.493839 | + | 0.458216i | 0.887345 | − | 0.461106i | \(-0.152547\pi\) |
−0.393506 | + | 0.919322i | \(0.628738\pi\) | |||||||
\(692\) | 1.35659 | + | 5.94360i | 0.0515697 | + | 0.225942i | ||||
\(693\) | 3.96507 | + | 1.62678i | 0.150620 | + | 0.0617961i | ||||
\(694\) | 4.66954 | − | 20.4586i | 0.177253 | − | 0.776598i | ||||
\(695\) | −2.83664 | + | 1.93399i | −0.107600 | + | 0.0733604i | ||||
\(696\) | −0.938705 | + | 0.870991i | −0.0355815 | + | 0.0330148i | ||||
\(697\) | 6.25582 | + | 4.26514i | 0.236956 | + | 0.161554i | ||||
\(698\) | 29.6083 | − | 4.46273i | 1.12069 | − | 0.168917i | ||||
\(699\) | 16.9968 | − | 8.18521i | 0.642876 | − | 0.309593i | ||||
\(700\) | −5.87598 | + | 11.7377i | −0.222091 | + | 0.443643i | ||||
\(701\) | 31.3004 | + | 15.0735i | 1.18220 | + | 0.569318i | 0.918552 | − | 0.395301i | \(-0.129360\pi\) |
0.263648 | + | 0.964619i | \(0.415074\pi\) | |||||||
\(702\) | 11.1681 | + | 3.44490i | 0.421512 | + | 0.130019i | ||||
\(703\) | −16.0882 | + | 40.9920i | −0.606778 | + | 1.54604i | ||||
\(704\) | 1.83781 | + | 3.18317i | 0.0692649 | + | 0.119970i | ||||
\(705\) | 1.04732 | − | 1.81401i | 0.0394444 | − | 0.0683197i | ||||
\(706\) | 0.969545 | + | 1.21577i | 0.0364893 | + | 0.0457561i | ||||
\(707\) | 32.0121 | + | 2.89325i | 1.20394 | + | 0.108812i | ||||
\(708\) | 14.2891 | − | 17.9179i | 0.537016 | − | 0.673397i | ||||
\(709\) | −13.0240 | − | 33.1846i | −0.489127 | − | 1.24628i | −0.936102 | − | 0.351729i | \(-0.885594\pi\) |
0.446975 | − | 0.894546i | \(-0.352501\pi\) | |||||||
\(710\) | −0.148294 | − | 1.97885i | −0.00556539 | − | 0.0742650i | ||||
\(711\) | 0.236243 | + | 3.15245i | 0.00885982 | + | 0.118226i | ||||
\(712\) | −4.89826 | − | 12.4806i | −0.183570 | − | 0.467729i | ||||
\(713\) | −0.0536086 | + | 0.0672231i | −0.00200766 | + | 0.00251752i | ||||
\(714\) | 14.1944 | + | 8.48802i | 0.531214 | + | 0.317656i | ||||
\(715\) | −0.957468 | − | 1.20063i | −0.0358073 | − | 0.0449009i | ||||
\(716\) | 5.77157 | − | 9.99665i | 0.215694 | − | 0.373592i | ||||
\(717\) | 10.4701 | + | 18.1347i | 0.391013 | + | 0.677254i | ||||
\(718\) | −7.12770 | + | 18.1611i | −0.266004 | + | 0.677766i | ||||
\(719\) | 40.4093 | + | 12.4646i | 1.50701 | + | 0.464851i | 0.934776 | − | 0.355238i | \(-0.115600\pi\) |
0.572235 | + | 0.820089i | \(0.306076\pi\) | |||||||
\(720\) | 0.0781309 | + | 0.0376258i | 0.00291177 | + | 0.00140223i | ||||
\(721\) | 16.2635 | + | 35.1400i | 0.605684 | + | 1.30868i | ||||
\(722\) | 5.07252 | − | 2.44280i | 0.188780 | − | 0.0909115i | ||||
\(723\) | 17.8014 | − | 2.68313i | 0.662040 | − | 0.0997865i | ||||
\(724\) | 5.21871 | + | 3.55806i | 0.193952 | + | 0.132234i | ||||
\(725\) | −2.91114 | + | 2.70114i | −0.108117 | + | 0.100318i | ||||
\(726\) | −3.31787 | + | 2.26208i | −0.123138 | + | 0.0839538i | ||||
\(727\) | −4.50381 | + | 19.7325i | −0.167037 | + | 0.731837i | 0.820134 | + | 0.572171i | \(0.193899\pi\) |
−0.987171 | + | 0.159666i | \(0.948958\pi\) | |||||||
\(728\) | −0.922354 | + | 5.54143i | −0.0341847 | + | 0.205379i | ||||
\(729\) | −6.61231 | − | 28.9704i | −0.244900 | − | 1.07298i | ||||
\(730\) | −0.0773090 | − | 0.0717323i | −0.00286134 | − | 0.00265493i | ||||
\(731\) | 37.7708 | + | 5.69303i | 1.39700 | + | 0.210564i | ||||
\(732\) | −15.2639 | + | 4.70829i | −0.564170 | + | 0.174024i | ||||
\(733\) | −2.46473 | + | 32.8895i | −0.0910367 | + | 1.21480i | 0.745355 | + | 0.666668i | \(0.232280\pi\) |
−0.836392 | + | 0.548132i | \(0.815339\pi\) | |||||||
\(734\) | 7.40908 | 0.273474 | ||||||||
\(735\) | −0.741755 | − | 2.07492i | −0.0273600 | − | 0.0765345i | ||||
\(736\) | 4.90544 | 0.180817 | ||||||||
\(737\) | −1.99624 | + | 26.6380i | −0.0735324 | + | 0.981222i | ||||
\(738\) | 0.816025 | − | 0.251710i | 0.0300383 | − | 0.00926559i | ||||
\(739\) | 15.2344 | + | 2.29622i | 0.560407 | + | 0.0844678i | 0.423137 | − | 0.906066i | \(-0.360929\pi\) |
0.137270 | + | 0.990534i | \(0.456167\pi\) | |||||||
\(740\) | 1.27988 | + | 1.18756i | 0.0470493 | + | 0.0436554i | ||||
\(741\) | −3.75120 | − | 16.4351i | −0.137804 | − | 0.603758i | ||||
\(742\) | −2.61746 | + | 3.71539i | −0.0960900 | + | 0.136396i | ||||
\(743\) | 1.57164 | − | 6.88579i | 0.0576577 | − | 0.252615i | −0.937882 | − | 0.346953i | \(-0.887216\pi\) |
0.995540 | + | 0.0943380i | \(0.0300734\pi\) | |||||||
\(744\) | −0.0231682 | + | 0.0157958i | −0.000849388 | + | 0.000579103i | ||||
\(745\) | 1.91900 | − | 1.78057i | 0.0703066 | − | 0.0652350i | ||||
\(746\) | 23.1812 | + | 15.8047i | 0.848725 | + | 0.578651i | ||||
\(747\) | −2.47436 | + | 0.372949i | −0.0905320 | + | 0.0136455i | ||||
\(748\) | 12.9399 | − | 6.23155i | 0.473131 | − | 0.227848i | ||||
\(749\) | −38.4340 | + | 8.15432i | −1.40435 | + | 0.297952i | ||||
\(750\) | −2.82516 | − | 1.36053i | −0.103160 | − | 0.0496794i | ||||
\(751\) | 4.50332 | + | 1.38909i | 0.164328 | + | 0.0506886i | 0.375828 | − | 0.926690i | \(-0.377358\pi\) |
−0.211499 | + | 0.977378i | \(0.567835\pi\) | |||||||
\(752\) | −2.43103 | + | 6.19416i | −0.0886506 | + | 0.225878i | ||||
\(753\) | 10.1426 | + | 17.5676i | 0.369618 | + | 0.640198i | ||||
\(754\) | −0.849790 | + | 1.47188i | −0.0309475 | + | 0.0536027i | ||||
\(755\) | −1.07567 | − | 1.34885i | −0.0391477 | − | 0.0490896i | ||||
\(756\) | 13.6365 | − | 5.11203i | 0.495955 | − | 0.185923i | ||||
\(757\) | −21.9244 | + | 27.4924i | −0.796857 | + | 0.999227i | 0.202942 | + | 0.979191i | \(0.434950\pi\) |
−0.999799 | + | 0.0200362i | \(0.993622\pi\) | |||||||
\(758\) | 4.22816 | + | 10.7732i | 0.153574 | + | 0.391299i | ||||
\(759\) | 2.15557 | + | 28.7641i | 0.0782424 | + | 1.04407i | ||||
\(760\) | −0.0729772 | − | 0.973813i | −0.00264716 | − | 0.0353239i | ||||
\(761\) | 1.58662 | + | 4.04264i | 0.0575149 | + | 0.146545i | 0.956743 | − | 0.290935i | \(-0.0939662\pi\) |
−0.899228 | + | 0.437480i | \(0.855871\pi\) | |||||||
\(762\) | 17.1789 | − | 21.5416i | 0.622324 | − | 0.780370i | ||||
\(763\) | −4.67658 | − | 7.09050i | −0.169304 | − | 0.256693i | ||||
\(764\) | 11.4168 | + | 14.3162i | 0.413045 | + | 0.517942i | ||||
\(765\) | 0.169424 | − | 0.293452i | 0.00612555 | − | 0.0106098i | ||||
\(766\) | −18.0781 | − | 31.3123i | −0.653190 | − | 1.13136i | ||||
\(767\) | 11.1127 | − | 28.3147i | 0.401257 | − | 1.02239i | ||||
\(768\) | 1.52870 | + | 0.471543i | 0.0551624 | + | 0.0170153i | ||||
\(769\) | −14.8184 | − | 7.13615i | −0.534364 | − | 0.257336i | 0.147184 | − | 0.989109i | \(-0.452979\pi\) |
−0.681549 | + | 0.731773i | \(0.738693\pi\) | |||||||
\(770\) | −1.85881 | − | 0.454360i | −0.0669870 | − | 0.0163740i | ||||
\(771\) | −32.6269 | + | 15.7123i | −1.17503 | + | 0.565865i | ||||
\(772\) | −14.4901 | + | 2.18402i | −0.521509 | + | 0.0786048i | ||||
\(773\) | −39.9887 | − | 27.2638i | −1.43829 | − | 0.980611i | −0.996509 | − | 0.0834893i | \(-0.973394\pi\) |
−0.441783 | − | 0.897122i | \(-0.645654\pi\) | |||||||
\(774\) | 3.15813 | − | 2.93032i | 0.113517 | − | 0.105328i | ||||
\(775\) | −0.0718500 | + | 0.0489865i | −0.00258093 | + | 0.00175965i | ||||
\(776\) | −3.30028 | + | 14.4595i | −0.118473 | + | 0.519064i | ||||
\(777\) | 37.4901 | − | 2.23196i | 1.34495 | − | 0.0800712i | ||||
\(778\) | −0.866536 | − | 3.79654i | −0.0310668 | − | 0.136113i | ||||
\(779\) | −7.04942 | − | 6.54090i | −0.252572 | − | 0.234352i | ||||
\(780\) | −0.660917 | − | 0.0996172i | −0.0236646 | − | 0.00356687i | ||||
\(781\) | −35.4213 | + | 10.9260i | −1.26747 | + | 0.390964i | ||||
\(782\) | 1.43241 | − | 19.1141i | 0.0512228 | − | 0.683520i | ||||
\(783\) | 4.40598 | 0.157457 | ||||||||
\(784\) | 3.31245 | + | 6.16666i | 0.118302 | + | 0.220238i | ||||
\(785\) | 4.51758 | 0.161239 | ||||||||
\(786\) | −0.514804 | + | 6.86958i | −0.0183625 | + | 0.245030i | ||||
\(787\) | −14.1650 | + | 4.36933i | −0.504928 | + | 0.155750i | −0.536746 | − | 0.843744i | \(-0.680347\pi\) |
0.0318175 | + | 0.999494i | \(0.489870\pi\) | |||||||
\(788\) | 11.4732 | + | 1.72931i | 0.408716 | + | 0.0616039i | ||||
\(789\) | 14.5235 | + | 13.4759i | 0.517052 | + | 0.479754i | ||||
\(790\) | −0.314079 | − | 1.37607i | −0.0111744 | − | 0.0489584i | ||||
\(791\) | −29.6924 | − | 33.0016i | −1.05574 | − | 1.17340i | ||||
\(792\) | 0.360458 | − | 1.57927i | 0.0128083 | − | 0.0561169i | ||||
\(793\) | −17.5168 | + | 11.9428i | −0.622040 | + | 0.424100i | ||||
\(794\) | −8.47918 | + | 7.86753i | −0.300915 | + | 0.279208i | ||||
\(795\) | −0.446776 | − | 0.304607i | −0.0158455 | − | 0.0108033i | ||||
\(796\) | 6.72500 | − | 1.01363i | 0.238361 | − | 0.0359272i | ||||
\(797\) | −37.9876 | + | 18.2939i | −1.34559 | + | 0.648002i | −0.961375 | − | 0.275242i | \(-0.911242\pi\) |
−0.384214 | + | 0.923244i | \(0.625528\pi\) | |||||||
\(798\) | −16.2203 | − | 13.3473i | −0.574193 | − | 0.472488i | ||||
\(799\) | 23.4258 | + | 11.2813i | 0.828745 | + | 0.399103i | ||||
\(800\) | 4.74087 | + | 1.46236i | 0.167615 | + | 0.0517024i | ||||
\(801\) | −2.15872 | + | 5.50032i | −0.0762745 | + | 0.194344i | ||||
\(802\) | −8.72107 | − | 15.1053i | −0.307952 | − | 0.533388i | ||||
\(803\) | −0.985001 | + | 1.70607i | −0.0347599 | + | 0.0602059i | ||||
\(804\) | 7.24897 | + | 9.08992i | 0.255652 | + | 0.320577i | ||||
\(805\) | −1.76552 | + | 1.84521i | −0.0622265 | + | 0.0650350i | ||||
\(806\) | −0.0232040 | + | 0.0290969i | −0.000817327 | + | 0.00102490i | ||||
\(807\) | −10.4519 | − | 26.6309i | −0.367923 | − | 0.937452i | ||||
\(808\) | −0.907877 | − | 12.1148i | −0.0319390 | − | 0.426196i | ||||
\(809\) | 0.774414 | + | 10.3338i | 0.0272270 | + | 0.363318i | 0.994131 | + | 0.108180i | \(0.0345021\pi\) |
−0.966904 | + | 0.255139i | \(0.917879\pi\) | |||||||
\(810\) | 0.537985 | + | 1.37076i | 0.0189029 | + | 0.0481637i | ||||
\(811\) | 16.2145 | − | 20.3323i | 0.569367 | − | 0.713964i | −0.410891 | − | 0.911684i | \(-0.634782\pi\) |
0.980258 | + | 0.197720i | \(0.0633538\pi\) | |||||||
\(812\) | 0.283491 | + | 2.09873i | 0.00994858 | + | 0.0736511i | ||||
\(813\) | 5.31003 | + | 6.65856i | 0.186231 | + | 0.233526i | ||||
\(814\) | 16.3071 | − | 28.2446i | 0.571562 | − | 0.989974i | ||||
\(815\) | −0.252617 | − | 0.437545i | −0.00884877 | − | 0.0153265i | ||||
\(816\) | 2.28376 | − | 5.81893i | 0.0799477 | − | 0.203703i | ||||
\(817\) | −46.3594 | − | 14.3000i | −1.62191 | − | 0.500293i | ||||
\(818\) | −15.8118 | − | 7.61458i | −0.552848 | − | 0.266238i | ||||
\(819\) | 1.95908 | − | 1.51375i | 0.0684557 | − | 0.0528948i | ||||
\(820\) | −0.343522 | + | 0.165431i | −0.0119963 | + | 0.00577711i | ||||
\(821\) | 32.3018 | − | 4.86872i | 1.12734 | − | 0.169919i | 0.441215 | − | 0.897402i | \(-0.354548\pi\) |
0.686127 | + | 0.727482i | \(0.259310\pi\) | |||||||
\(822\) | 12.8195 | + | 8.74018i | 0.447131 | + | 0.304849i | ||||
\(823\) | −18.2521 | + | 16.9354i | −0.636227 | + | 0.590333i | −0.930904 | − | 0.365264i | \(-0.880979\pi\) |
0.294677 | + | 0.955597i | \(0.404788\pi\) | |||||||
\(824\) | 12.0922 | − | 8.24429i | 0.421250 | − | 0.287204i | ||||
\(825\) | −6.49163 | + | 28.4417i | −0.226010 | + | 0.990213i | ||||
\(826\) | −10.6151 | − | 36.3853i | −0.369348 | − | 1.26601i | ||||
\(827\) | 10.9598 | + | 48.0181i | 0.381110 | + | 1.66975i | 0.694009 | + | 0.719966i | \(0.255843\pi\) |
−0.312899 | + | 0.949787i | \(0.601300\pi\) | |||||||
\(828\) | −1.58477 | − | 1.47045i | −0.0550747 | − | 0.0511018i | ||||
\(829\) | −49.0703 | − | 7.39615i | −1.70428 | − | 0.256879i | −0.776530 | − | 0.630080i | \(-0.783022\pi\) |
−0.927751 | + | 0.373201i | \(0.878260\pi\) | |||||||
\(830\) | 1.06760 | − | 0.329311i | 0.0370569 | − | 0.0114306i | ||||
\(831\) | 1.29024 | − | 17.2170i | 0.0447579 | − | 0.597253i | ||||
\(832\) | 2.12328 | 0.0736114 | ||||||||
\(833\) | 24.9957 | − | 11.1063i | 0.866051 | − | 0.384812i | ||||
\(834\) | 27.9126 | 0.966533 | ||||||||
\(835\) | 0.192734 | − | 2.57185i | 0.00666982 | − | 0.0890026i | ||||
\(836\) | −17.4312 | + | 5.37680i | −0.602869 | + | 0.185961i | ||||
\(837\) | 0.0954019 | + | 0.0143795i | 0.00329757 | + | 0.000497029i | ||||
\(838\) | −12.9111 | − | 11.9798i | −0.446008 | − | 0.413835i | ||||
\(839\) | −2.28368 | − | 10.0055i | −0.0788415 | − | 0.345427i | 0.920087 | − | 0.391715i | \(-0.128118\pi\) |
−0.998928 | + | 0.0462877i | \(0.985261\pi\) | |||||||
\(840\) | −0.727571 | + | 0.405316i | −0.0251036 | + | 0.0139847i | ||||
\(841\) | 6.31053 | − | 27.6483i | 0.217605 | − | 0.953388i | ||||
\(842\) | −14.3417 | + | 9.77798i | −0.494247 | + | 0.336972i | ||||
\(843\) | 38.1894 | − | 35.4346i | 1.31531 | − | 1.22043i | ||||
\(844\) | 14.7606 | + | 10.0636i | 0.508080 | + | 0.346403i | ||||
\(845\) | 1.65225 | − | 0.249036i | 0.0568390 | − | 0.00856710i | ||||
\(846\) | 2.64214 | − | 1.27239i | 0.0908387 | − | 0.0437456i | ||||
\(847\) | −0.101840 | + | 6.64036i | −0.00349925 | + | 0.228166i | ||||
\(848\) | 1.54766 | + | 0.745314i | 0.0531469 | + | 0.0255942i | ||||
\(849\) | −36.5786 | − | 11.2830i | −1.25538 | − | 0.387232i | ||||
\(850\) | 7.08248 | − | 18.0459i | 0.242927 | − | 0.618968i | ||||
\(851\) | −21.7633 | − | 37.6951i | −0.746035 | − | 1.29217i | ||||
\(852\) | −8.06678 | + | 13.9721i | −0.276363 | + | 0.478676i | ||||
\(853\) | 19.4821 | + | 24.4298i | 0.667056 | + | 0.836462i | 0.994091 | − | 0.108551i | \(-0.0346209\pi\) |
−0.327035 | + | 0.945012i | \(0.606049\pi\) | |||||||
\(854\) | −8.17288 | + | 25.1215i | −0.279670 | + | 0.859639i | ||||
\(855\) | −0.268334 | + | 0.336480i | −0.00917682 | + | 0.0115074i | ||||
\(856\) | 5.42532 | + | 13.8235i | 0.185434 | + | 0.472478i | ||||
\(857\) | 0.357260 | + | 4.76731i | 0.0122038 | + | 0.162848i | 0.999976 | + | 0.00694348i | \(0.00221020\pi\) |
−0.987772 | + | 0.155905i | \(0.950171\pi\) | |||||||
\(858\) | 0.933021 | + | 12.4503i | 0.0318528 | + | 0.425046i | ||||
\(859\) | −16.4703 | − | 41.9656i | −0.561959 | − | 1.43185i | −0.875940 | − | 0.482420i | \(-0.839758\pi\) |
0.313981 | − | 0.949429i | \(-0.398337\pi\) | |||||||
\(860\) | −1.19930 | + | 1.50388i | −0.0408959 | + | 0.0512818i | ||||
\(861\) | −2.53734 | + | 7.79915i | −0.0864722 | + | 0.265794i | ||||
\(862\) | −9.78602 | − | 12.2713i | −0.333313 | − | 0.417961i | ||||
\(863\) | 14.7669 | − | 25.5771i | 0.502673 | − | 0.870655i | −0.497322 | − | 0.867566i | \(-0.665683\pi\) |
0.999995 | − | 0.00308902i | \(-0.000983267\pi\) | |||||||
\(864\) | −2.75219 | − | 4.76693i | −0.0936313 | − | 0.162174i | ||||
\(865\) | −0.438262 | + | 1.11667i | −0.0149014 | + | 0.0379681i | ||||
\(866\) | −18.3379 | − | 5.65649i | −0.623147 | − | 0.192215i | ||||
\(867\) | 2.49624 | + | 1.20213i | 0.0847768 | + | 0.0408263i | ||||
\(868\) | −0.000711132 | 0.0463687i | −2.41374e−5 | 0.00157386i | ||||||
\(869\) | −23.7547 | + | 11.4397i | −0.805823 | + | 0.388064i | ||||
\(870\) | −0.249158 | + | 0.0375545i | −0.00844725 | + | 0.00127322i | ||||
\(871\) | 12.7497 | + | 8.69260i | 0.432007 | + | 0.294537i | ||||
\(872\) | −2.35337 | + | 2.18361i | −0.0796953 | + | 0.0739464i | ||||
\(873\) | 5.40057 | − | 3.68205i | 0.182782 | − | 0.124618i | ||||
\(874\) | −5.41729 | + | 23.7347i | −0.183242 | + | 0.802838i | ||||
\(875\) | −4.53034 | + | 2.52377i | −0.153153 | + | 0.0853189i | ||||
\(876\) | 0.190795 | + | 0.835928i | 0.00644637 | + | 0.0282434i | ||||
\(877\) | 31.6936 | + | 29.4074i | 1.07022 | + | 0.993017i | 0.999990 | − | 0.00451432i | \(-0.00143696\pi\) |
0.0702276 | + | 0.997531i | \(0.477627\pi\) | |||||||
\(878\) | 5.96913 | + | 0.899701i | 0.201448 | + | 0.0303635i | ||||
\(879\) | 8.97639 | − | 2.76885i | 0.302766 | − | 0.0933910i | ||||
\(880\) | −0.0540485 | + | 0.721227i | −0.00182197 | + | 0.0243126i | ||||
\(881\) | 32.9543 | 1.11026 | 0.555128 | − | 0.831765i | \(-0.312669\pi\) | ||||
0.555128 | + | 0.831765i | \(0.312669\pi\) | |||||||
\(882\) | 0.778381 | − | 2.98517i | 0.0262095 | − | 0.100516i | ||||
\(883\) | 29.3434 | 0.987485 | 0.493742 | − | 0.869608i | \(-0.335629\pi\) | ||||
0.493742 | + | 0.869608i | \(0.335629\pi\) | |||||||
\(884\) | 0.620005 | − | 8.27339i | 0.0208530 | − | 0.278264i | ||||
\(885\) | 4.30920 | − | 1.32921i | 0.144852 | − | 0.0446810i | ||||
\(886\) | −0.619788 | − | 0.0934180i | −0.0208222 | − | 0.00313844i | ||||
\(887\) | −29.9213 | − | 27.7629i | −1.00466 | − | 0.932189i | −0.00696055 | − | 0.999976i | \(-0.502216\pi\) |
−0.997700 | + | 0.0677872i | \(0.978406\pi\) | |||||||
\(888\) | −3.15869 | − | 13.8391i | −0.105999 | − | 0.464410i | ||||
\(889\) | −12.7619 | − | 43.7438i | −0.428022 | − | 1.46712i | ||||
\(890\) | 0.587047 | − | 2.57202i | 0.0196778 | − | 0.0862143i | ||||
\(891\) | 22.7273 | − | 15.4952i | 0.761393 | − | 0.519109i | ||||
\(892\) | 12.4848 | − | 11.5842i | 0.418022 | − | 0.387868i | ||||
\(893\) | −27.2854 | − | 18.6029i | −0.913071 | − | 0.622521i | ||||
\(894\) | −21.0457 | + | 3.17212i | −0.703872 | + | 0.106092i | ||||
\(895\) | 2.04641 | − | 0.985498i | 0.0684039 | − | 0.0329416i | ||||
\(896\) | 2.09358 | − | 1.61768i | 0.0699417 | − | 0.0540431i | ||||
\(897\) | 15.0125 | + | 7.22966i | 0.501254 | + | 0.241391i | ||||
\(898\) | −18.0426 | − | 5.56541i | −0.602090 | − | 0.185720i | ||||
\(899\) | −0.00512578 | + | 0.0130603i | −0.000170954 | + | 0.000435585i | ||||
\(900\) | −1.09325 | − | 1.89356i | −0.0364416 | − | 0.0631186i | ||||
\(901\) | 3.35605 | − | 5.81285i | 0.111806 | − | 0.193654i | ||||
\(902\) | 4.44063 | + | 5.56837i | 0.147857 | + | 0.185407i | ||||
\(903\) | 5.53866 | + | 41.0037i | 0.184315 | + | 1.36452i | ||||
\(904\) | −10.4615 | + | 13.1183i | −0.347945 | + | 0.436310i | ||||
\(905\) | 0.454061 | + | 1.15693i | 0.0150935 | + | 0.0384576i | ||||
\(906\) | 1.04821 | + | 13.9873i | 0.0348243 | + | 0.464698i | ||||
\(907\) | −0.0720073 | − | 0.960870i | −0.00239096 | − | 0.0319052i | 0.995881 | − | 0.0906731i | \(-0.0289018\pi\) |
−0.998272 | + | 0.0587679i | \(0.981283\pi\) | |||||||
\(908\) | 0.897445 | + | 2.28665i | 0.0297828 | + | 0.0758852i | ||||
\(909\) | −3.33822 | + | 4.18600i | −0.110722 | + | 0.138841i | ||||
\(910\) | −0.764192 | + | 0.798682i | −0.0253327 | + | 0.0264760i | ||||
\(911\) | 17.8323 | + | 22.3610i | 0.590810 | + | 0.740852i | 0.983914 | − | 0.178642i | \(-0.0571704\pi\) |
−0.393105 | + | 0.919494i | \(0.628599\pi\) | |||||||
\(912\) | −3.96974 | + | 6.87580i | −0.131451 | + | 0.227680i | ||||
\(913\) | −10.4348 | − | 18.0737i | −0.345343 | − | 0.598151i | ||||
\(914\) | −5.06147 | + | 12.8964i | −0.167418 | + | 0.426575i | ||||
\(915\) | −3.00348 | − | 0.926450i | −0.0992919 | − | 0.0306275i | ||||
\(916\) | 6.33400 | + | 3.05030i | 0.209281 | + | 0.100785i | ||||
\(917\) | 8.79739 | + | 7.23914i | 0.290515 | + | 0.239057i | ||||
\(918\) | −19.3781 | + | 9.33199i | −0.639572 | + | 0.308001i | ||||
\(919\) | −26.0800 | + | 3.93093i | −0.860300 | + | 0.129669i | −0.564352 | − | 0.825534i | \(-0.690874\pi\) |
−0.295949 | + | 0.955204i | \(0.595636\pi\) | |||||||
\(920\) | 0.797521 | + | 0.543741i | 0.0262935 | + | 0.0179266i | ||||
\(921\) | 19.9581 | − | 18.5184i | 0.657642 | − | 0.610203i | ||||
\(922\) | −26.7459 | + | 18.2351i | −0.880830 | + | 0.600540i | ||||
\(923\) | −4.76484 | + | 20.8761i | −0.156837 | + | 0.687146i | ||||
\(924\) | 10.4056 | + | 11.5653i | 0.342320 | + | 0.380472i | ||||
\(925\) | −9.79582 | − | 42.9183i | −0.322085 | − | 1.41114i | ||||
\(926\) | 3.80563 | + | 3.53111i | 0.125061 | + | 0.116039i | ||||
\(927\) | −6.37785 | − | 0.961307i | −0.209476 | − | 0.0315735i | ||||
\(928\) | 0.764889 | − | 0.235937i | 0.0251087 | − | 0.00774501i | ||||
\(929\) | −1.92954 | + | 25.7479i | −0.0633062 | + | 0.844763i | 0.871679 | + | 0.490077i | \(0.163031\pi\) |
−0.934985 | + | 0.354686i | \(0.884588\pi\) | |||||||
\(930\) | −0.00551754 | −0.000180927 | ||||||||
\(931\) | −33.4951 | + | 9.21701i | −1.09776 | + | 0.302075i | ||||
\(932\) | −11.7922 | −0.386268 | ||||||||
\(933\) | 2.85333 | − | 38.0750i | 0.0934137 | − | 1.24652i | ||||
\(934\) | 4.45673 | − | 1.37472i | 0.145829 | − | 0.0449822i | ||||
\(935\) | 2.79449 | + | 0.421202i | 0.0913897 | + | 0.0137748i | ||||
\(936\) | −0.685955 | − | 0.636474i | −0.0224212 | − | 0.0208038i | ||||
\(937\) | 7.91046 | + | 34.6580i | 0.258423 | + | 1.13223i | 0.922937 | + | 0.384951i | \(0.125782\pi\) |
−0.664514 | + | 0.747276i | \(0.731361\pi\) | |||||||
\(938\) | 19.1941 | − | 1.14272i | 0.626710 | − | 0.0373110i | ||||
\(939\) | 4.39267 | − | 19.2455i | 0.143349 | − | 0.628054i | ||||
\(940\) | −1.08182 | + | 0.737574i | −0.0352852 | + | 0.0240570i | ||||
\(941\) | −7.10291 | + | 6.59054i | −0.231548 | + | 0.214845i | −0.787410 | − | 0.616429i | \(-0.788579\pi\) |
0.555862 | + | 0.831274i | \(0.312388\pi\) | |||||||
\(942\) | −30.3468 | − | 20.6901i | −0.988751 | − | 0.674119i | ||||
\(943\) | 9.39909 | − | 1.41668i | 0.306076 | − | 0.0461336i | ||||
\(944\) | −12.9070 | + | 6.21567i | −0.420086 | + | 0.202303i | ||||
\(945\) | 2.78365 | + | 0.680422i | 0.0905520 | + | 0.0221341i | ||||
\(946\) | 32.3728 | + | 15.5899i | 1.05253 | + | 0.506872i | ||||
\(947\) | 12.5127 | + | 3.85965i | 0.406608 | + | 0.125422i | 0.491311 | − | 0.870984i | \(-0.336518\pi\) |
−0.0847030 | + | 0.996406i | \(0.526994\pi\) | |||||||
\(948\) | −4.19245 | + | 10.6822i | −0.136164 | + | 0.346941i | ||||
\(949\) | 0.569002 | + | 0.985540i | 0.0184706 | + | 0.0319920i | ||||
\(950\) | −12.3111 | + | 21.3234i | −0.399425 | + | 0.691824i | ||||
\(951\) | 0.408199 | + | 0.511866i | 0.0132368 | + | 0.0165984i | ||||
\(952\) | −5.69200 | − | 8.63006i | −0.184479 | − | 0.279702i | ||||
\(953\) | 16.7278 | − | 20.9760i | 0.541868 | − | 0.679480i | −0.433223 | − | 0.901287i | \(-0.642624\pi\) |
0.975091 | + | 0.221806i | \(0.0711953\pi\) | |||||||
\(954\) | −0.276579 | − | 0.704711i | −0.00895457 | − | 0.0228159i | ||||
\(955\) | 0.269258 | + | 3.59300i | 0.00871298 | + | 0.116267i | ||||
\(956\) | −0.978174 | − | 13.0528i | −0.0316364 | − | 0.422159i | ||||
\(957\) | 1.71958 | + | 4.38142i | 0.0555861 | + | 0.141631i | ||||
\(958\) | −3.77778 | + | 4.73719i | −0.122055 | + | 0.153052i | ||||
\(959\) | 24.0271 | − | 9.00722i | 0.775874 | − | 0.290858i | ||||
\(960\) | 0.196267 | + | 0.246111i | 0.00633449 | + | 0.00794320i | ||||
\(961\) | 15.4998 | − | 26.8465i | 0.499995 | − | 0.866017i | ||||
\(962\) | −9.42004 | − | 16.3160i | −0.303714 | − | 0.526049i | ||||
\(963\) | 2.39100 | − | 6.09218i | 0.0770490 | − | 0.196318i | ||||
\(964\) | −10.7532 | − | 3.31691i | −0.346336 | − | 0.106830i | ||||
\(965\) | −2.59786 | − | 1.25107i | −0.0836282 | − | 0.0402732i | ||||
\(966\) | 20.3107 | − | 4.30922i | 0.653487 | − | 0.138647i | ||||
\(967\) | −13.5780 | + | 6.53884i | −0.436640 | + | 0.210275i | −0.639273 | − | 0.768980i | \(-0.720765\pi\) |
0.202633 | + | 0.979255i | \(0.435050\pi\) | |||||||
\(968\) | 2.48208 | − | 0.374113i | 0.0797771 | − | 0.0120245i | ||||
\(969\) | 25.6325 | + | 17.4759i | 0.823434 | + | 0.561408i | ||||
\(970\) | −2.13931 | + | 1.98499i | −0.0686890 | + | 0.0637341i | ||||
\(971\) | −10.8037 | + | 7.36582i | −0.346707 | + | 0.236381i | −0.724135 | − | 0.689658i | \(-0.757761\pi\) |
0.377428 | + | 0.926039i | \(0.376808\pi\) | |||||||
\(972\) | −1.01046 | + | 4.42711i | −0.0324105 | + | 0.142000i | ||||
\(973\) | 26.5861 | − | 37.7380i | 0.852310 | − | 1.20982i | ||||
\(974\) | 1.32025 | + | 5.78441i | 0.0423037 | + | 0.185344i | ||||
\(975\) | 12.3536 | + | 11.4625i | 0.395633 | + | 0.367094i | ||||
\(976\) | 9.87335 | + | 1.48817i | 0.316038 | + | 0.0476351i | ||||
\(977\) | 22.5139 | − | 6.94462i | 0.720284 | − | 0.222178i | 0.0871220 | − | 0.996198i | \(-0.472233\pi\) |
0.633162 | + | 0.774020i | \(0.281757\pi\) | |||||||
\(978\) | −0.306965 | + | 4.09616i | −0.00981565 | + | 0.130981i | ||||
\(979\) | −49.2802 | −1.57500 | ||||||||
\(980\) | −0.145004 | + | 1.36974i | −0.00463200 | + | 0.0437546i | ||||
\(981\) | 1.41485 | 0.0451727 | ||||||||
\(982\) | 0.531055 | − | 7.08643i | 0.0169466 | − | 0.226137i | ||||
\(983\) | −40.7798 | + | 12.5789i | −1.30067 | + | 0.401205i | −0.866298 | − | 0.499527i | \(-0.833507\pi\) |
−0.434376 | + | 0.900732i | \(0.643031\pi\) | |||||||
\(984\) | 3.06526 | + | 0.462013i | 0.0977169 | + | 0.0147285i | ||||
\(985\) | 1.67361 | + | 1.55289i | 0.0533258 | + | 0.0494791i | ||||
\(986\) | −0.695983 | − | 3.04930i | −0.0221646 | − | 0.0971095i | ||||
\(987\) | −4.62426 | + | 27.7822i | −0.147192 | + | 0.884317i | ||||
\(988\) | −2.34483 | + | 10.2734i | −0.0745989 | + | 0.326839i | ||||
\(989\) | 39.6209 | − | 27.0131i | 1.25987 | − | 0.858966i | ||||
\(990\) | 0.233656 | − | 0.216801i | 0.00742608 | − | 0.00689039i | ||||
\(991\) | −0.882301 | − | 0.601543i | −0.0280272 | − | 0.0191086i | 0.549225 | − | 0.835674i | \(-0.314923\pi\) |
−0.577253 | + | 0.816566i | \(0.695875\pi\) | |||||||
\(992\) | 0.0173320 | − | 0.00261238i | 0.000550292 | − | 8.29432e-5i | ||||
\(993\) | −4.24526 | + | 2.04441i | −0.134719 | + | 0.0648774i | ||||
\(994\) | 11.2069 | + | 24.2144i | 0.355462 | + | 0.768035i | ||||
\(995\) | 1.20570 | + | 0.580634i | 0.0382232 | + | 0.0184073i | ||||
\(996\) | −8.67980 | − | 2.67736i | −0.275030 | − | 0.0848355i | ||||
\(997\) | 9.00950 | − | 22.9558i | 0.285334 | − | 0.727018i | −0.714297 | − | 0.699843i | \(-0.753253\pi\) |
0.999631 | − | 0.0271756i | \(-0.00865134\pi\) | |||||||
\(998\) | 6.54284 | + | 11.3325i | 0.207110 | + | 0.358725i | ||||
\(999\) | −24.4205 | + | 42.2975i | −0.772629 | + | 1.33823i |
(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 | 98.2.g.a.23.2 | ✓ | 24 | |
3.2 | odd | 2 | 882.2.z.d.415.2 | 24 | |||
4.3 | odd | 2 | 784.2.bg.a.513.1 | 24 | |||
7.2 | even | 3 | 686.2.e.f.491.1 | 24 | |||
7.3 | odd | 6 | 686.2.g.c.263.2 | 24 | |||
7.4 | even | 3 | 686.2.g.a.263.1 | 24 | |||
7.5 | odd | 6 | 686.2.e.e.491.4 | 24 | |||
7.6 | odd | 2 | 686.2.g.b.275.1 | 24 | |||
49.9 | even | 21 | 4802.2.a.i.1.11 | 12 | |||
49.12 | odd | 42 | 686.2.e.e.197.4 | 24 | |||
49.17 | odd | 42 | 686.2.g.b.459.1 | 24 | |||
49.20 | odd | 14 | 686.2.g.c.373.2 | 24 | |||
49.29 | even | 7 | 686.2.g.a.373.1 | 24 | |||
49.32 | even | 21 | inner | 98.2.g.a.81.2 | yes | 24 | |
49.37 | even | 21 | 686.2.e.f.197.1 | 24 | |||
49.40 | odd | 42 | 4802.2.a.k.1.2 | 12 | |||
147.32 | odd | 42 | 882.2.z.d.865.2 | 24 | |||
196.179 | odd | 42 | 784.2.bg.a.81.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.g.a.23.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
98.2.g.a.81.2 | yes | 24 | 49.32 | even | 21 | inner | |
686.2.e.e.197.4 | 24 | 49.12 | odd | 42 | |||
686.2.e.e.491.4 | 24 | 7.5 | odd | 6 | |||
686.2.e.f.197.1 | 24 | 49.37 | even | 21 | |||
686.2.e.f.491.1 | 24 | 7.2 | even | 3 | |||
686.2.g.a.263.1 | 24 | 7.4 | even | 3 | |||
686.2.g.a.373.1 | 24 | 49.29 | even | 7 | |||
686.2.g.b.275.1 | 24 | 7.6 | odd | 2 | |||
686.2.g.b.459.1 | 24 | 49.17 | odd | 42 | |||
686.2.g.c.263.2 | 24 | 7.3 | odd | 6 | |||
686.2.g.c.373.2 | 24 | 49.20 | odd | 14 | |||
784.2.bg.a.81.1 | 24 | 196.179 | odd | 42 | |||
784.2.bg.a.513.1 | 24 | 4.3 | odd | 2 | |||
882.2.z.d.415.2 | 24 | 3.2 | odd | 2 | |||
882.2.z.d.865.2 | 24 | 147.32 | odd | 42 | |||
4802.2.a.i.1.11 | 12 | 49.9 | even | 21 | |||
4802.2.a.k.1.2 | 12 | 49.40 | odd | 42 |