Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [880,2,Mod(17,880)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(880, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 0, 5, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("880.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 880 = 2^{4} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 880.cm (of order \(20\), degree \(8\), not 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: | \(7.02683537787\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 220) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 337.5 | ||
Character | \(\chi\) | \(=\) | 880.337 |
Dual form | 880.2.cm.b.833.5 |
$q$-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 \(\left(\mathbb{Z}/880\mathbb{Z}\right)^\times\).
\(n\) | \(111\) | \(177\) | \(321\) | \(661\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | 0.748461 | + | 1.46894i | 0.432124 | + | 0.848091i | 0.999693 | + | 0.0247656i | \(0.00788393\pi\) |
−0.567569 | + | 0.823326i | \(0.692116\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.857567 | + | 2.06509i | 0.383516 | + | 0.923534i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.43189 | − | 1.23911i | −0.919168 | − | 0.468340i | −0.0706471 | − | 0.997501i | \(-0.522506\pi\) |
−0.848521 | + | 0.529162i | \(0.822506\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.165773 | − | 0.228167i | 0.0552577 | − | 0.0760557i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.97907 | + | 2.66145i | −0.596711 | + | 0.802456i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.103452 | − | 0.653168i | −0.0286923 | − | 0.181156i | 0.969180 | − | 0.246353i | \(-0.0792324\pi\) |
−0.997872 | + | 0.0651971i | \(0.979232\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.39163 | + | 2.80535i | −0.617515 | + | 0.724338i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.465103 | + | 2.93654i | −0.112804 | + | 0.712216i | 0.864855 | + | 0.502021i | \(0.167410\pi\) |
−0.977659 | + | 0.210195i | \(0.932590\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.21346 | + | 6.81233i | −0.507803 | + | 1.56286i | 0.288205 | + | 0.957569i | \(0.406942\pi\) |
−0.796007 | + | 0.605287i | \(0.793058\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 4.49972i | − | 0.981919i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.404388 | − | 0.404388i | 0.0843207 | − | 0.0843207i | −0.663688 | − | 0.748009i | \(-0.731010\pi\) |
0.748009 | + | 0.663688i | \(0.231010\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.52916 | + | 3.54190i | −0.705831 | + | 0.708380i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.34423 | + | 0.846442i | 1.02850 | + | 0.162898i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.22290 | + | 6.84138i | 0.412782 | + | 1.27041i | 0.914220 | + | 0.405219i | \(0.132805\pi\) |
−0.501437 | + | 0.865194i | \(0.667195\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.39431 | − | 3.19265i | −0.789241 | − | 0.573417i | 0.118497 | − | 0.992954i | \(-0.462192\pi\) |
−0.907738 | + | 0.419537i | \(0.862192\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −5.39075 | − | 0.915135i | −0.938409 | − | 0.159305i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.473359 | − | 6.08468i | 0.0800122 | − | 1.02850i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.83080 | + | 3.59315i | −0.300982 | + | 0.590710i | −0.991120 | − | 0.132967i | \(-0.957550\pi\) |
0.690139 | + | 0.723677i | \(0.257550\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.882034 | − | 0.640835i | 0.141238 | − | 0.102616i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −7.20357 | − | 2.34058i | −1.12501 | − | 0.365537i | −0.313331 | − | 0.949644i | \(-0.601445\pi\) |
−0.811677 | + | 0.584107i | \(0.801445\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.687486 | − | 0.687486i | −0.104841 | − | 0.104841i | 0.652741 | − | 0.757581i | \(-0.273619\pi\) |
−0.757581 | + | 0.652741i | \(0.773619\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.613346 | + | 0.146667i | 0.0914323 | + | 0.0218638i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 9.01236 | − | 4.59203i | 1.31459 | − | 0.669816i | 0.350791 | − | 0.936454i | \(-0.385913\pi\) |
0.963797 | + | 0.266638i | \(0.0859129\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.264199 | + | 0.363639i | 0.0377428 | + | 0.0519485i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.66171 | + | 1.51468i | −0.652770 | + | 0.212098i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.71491 | − | 0.271614i | 0.235560 | − | 0.0373091i | −0.0375380 | − | 0.999295i | \(-0.511952\pi\) |
0.273098 | + | 0.961986i | \(0.411952\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.19330 | − | 1.80457i | −0.969944 | − | 0.243328i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −11.6636 | + | 1.84733i | −1.54488 | + | 0.244685i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.76174 | + | 0.897345i | −0.359548 | + | 0.116824i | −0.483220 | − | 0.875499i | \(-0.660533\pi\) |
0.123672 | + | 0.992323i | \(0.460533\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.28978 | − | 8.65715i | −0.805324 | − | 1.10843i | −0.992028 | − | 0.126018i | \(-0.959780\pi\) |
0.186704 | − | 0.982416i | \(-0.440220\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.685866 | + | 0.349466i | −0.0864110 | + | 0.0440286i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.26013 | − | 0.773772i | 0.156300 | − | 0.0959747i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.32148 | + | 8.32148i | 1.01663 | + | 1.01663i | 0.999859 | + | 0.0167718i | \(0.00533889\pi\) |
0.0167718 | + | 0.999859i | \(0.494661\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.896689 | + | 0.291352i | 0.107949 | + | 0.0350746i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.26577 | − | 6.00543i | 0.980966 | − | 0.712714i | 0.0230418 | − | 0.999735i | \(-0.492665\pi\) |
0.957924 | + | 0.287021i | \(0.0926649\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.27272 | − | 10.3483i | 0.617125 | − | 1.21118i | −0.345009 | − | 0.938599i | \(-0.612124\pi\) |
0.962134 | − | 0.272576i | \(-0.0878757\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.84426 | − | 2.53314i | −0.905778 | − | 0.292501i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 8.11070 | − | 4.02007i | 0.924300 | − | 0.458129i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.56236 | − | 1.13512i | −0.175780 | − | 0.127711i | 0.496417 | − | 0.868084i | \(-0.334649\pi\) |
−0.672196 | + | 0.740373i | \(0.734649\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.49512 | + | 7.67918i | 0.277235 | + | 0.853242i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 8.65490 | + | 1.37080i | 0.949998 | + | 0.150465i | 0.612155 | − | 0.790738i | \(-0.290303\pi\) |
0.337843 | + | 0.941202i | \(0.390303\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.46307 | + | 1.55781i | −0.701018 | + | 0.168968i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −8.38581 | + | 8.38581i | −0.899053 | + | 0.899053i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 10.8016i | 1.14497i | 0.819916 | + | 0.572484i | \(0.194020\pi\) | ||||
−0.819916 | + | 0.572484i | \(0.805980\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.557764 | + | 1.71662i | −0.0584696 | + | 0.179951i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.40084 | − | 8.84454i | 0.145260 | − | 0.917136i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −15.9662 | + | 1.27105i | −1.63810 | + | 0.130407i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.72728 | + | 17.2194i | 0.276913 | + | 1.74836i | 0.598170 | + | 0.801369i | \(0.295895\pi\) |
−0.321257 | + | 0.946992i | \(0.604105\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.279179 | + | 0.892754i | 0.0280585 | + | 0.0897252i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 4.43283 | − | 6.10127i | 0.441083 | − | 0.607099i | −0.529369 | − | 0.848392i | \(-0.677571\pi\) |
0.970452 | + | 0.241293i | \(0.0775713\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 11.6977 | + | 5.96029i | 1.15261 | + | 0.587284i | 0.922545 | − | 0.385891i | \(-0.126106\pi\) |
0.230066 | + | 0.973175i | \(0.426106\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 9.29230 | − | 3.85881i | 0.906836 | − | 0.376581i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.80705 | − | 9.43436i | −0.464715 | − | 0.912054i | −0.997819 | − | 0.0660047i | \(-0.978975\pi\) |
0.533105 | − | 0.846049i | \(-0.321025\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.499098 | 0.0478049 | 0.0239025 | − | 0.999714i | \(-0.492391\pi\) | ||||
0.0239025 | + | 0.999714i | \(0.492391\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.64839 | −0.631038 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 8.22363 | + | 16.1398i | 0.773614 | + | 1.51830i | 0.853263 | + | 0.521480i | \(0.174620\pi\) |
−0.0796494 | + | 0.996823i | \(0.525380\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.18189 | + | 0.488306i | 0.110211 | + | 0.0455347i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.166181 | − | 0.0846735i | −0.0153634 | − | 0.00782807i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.76978 | − | 6.56504i | 0.437245 | − | 0.601816i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.16660 | − | 10.5344i | −0.287872 | − | 0.957669i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.95342 | − | 12.3334i | −0.176134 | − | 1.11207i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −10.3408 | − | 4.25059i | −0.924911 | − | 0.380185i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.82245 | + | 11.5065i | −0.161716 | + | 1.02104i | 0.764659 | + | 0.644435i | \(0.222907\pi\) |
−0.926375 | + | 0.376602i | \(0.877093\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.495317 | − | 1.52443i | 0.0436102 | − | 0.134219i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.79946i | 0.768812i | 0.923164 | + | 0.384406i | \(0.125594\pi\) | ||||
−0.923164 | + | 0.384406i | \(0.874406\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 13.8241 | − | 13.8241i | 1.19870 | − | 1.19870i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.83506 | + | 11.7622i | 0.244003 | + | 1.01233i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2.83003 | − | 0.448233i | −0.241786 | − | 0.0382951i | 0.0343653 | − | 0.999409i | \(-0.489059\pi\) |
−0.276151 | + | 0.961114i | \(0.589059\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.49638 | + | 4.60538i | 0.126921 | + | 0.390623i | 0.994246 | − | 0.107119i | \(-0.0341626\pi\) |
−0.867325 | + | 0.497742i | \(0.834163\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 13.4908 | + | 9.80164i | 1.13613 | + | 0.825447i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.94311 | + | 1.01733i | 0.162491 | + | 0.0850736i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.2218 | + | 10.4574i | −1.01496 | + | 0.868442i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.336420 | + | 0.660262i | −0.0277475 | + | 0.0544575i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 8.42069 | − | 6.11799i | 0.689850 | − | 0.501205i | −0.186761 | − | 0.982405i | \(-0.559799\pi\) |
0.876611 | + | 0.481200i | \(0.159799\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.31672 | − | 1.07767i | −0.269911 | − | 0.0876994i | 0.170934 | − | 0.985282i | \(-0.445321\pi\) |
−0.440846 | + | 0.897583i | \(0.645321\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.592921 | + | 0.592921i | 0.0479348 | + | 0.0479348i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.82468 | − | 11.8125i | 0.226884 | − | 0.948806i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 18.5631 | − | 9.45835i | 1.48149 | − | 0.754858i | 0.488448 | − | 0.872593i | \(-0.337563\pi\) |
0.993045 | + | 0.117735i | \(0.0375633\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.68252 | + | 2.31580i | 0.133433 | + | 0.183655i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.48451 | + | 0.482346i | −0.116996 | + | 0.0380142i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.40247 | + | 0.697283i | −0.344828 | + | 0.0546154i | −0.326447 | − | 0.945216i | \(-0.605851\pi\) |
−0.0183815 | + | 0.999831i | \(0.505851\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.73310 | − | 11.9172i | −0.212772 | − | 0.927749i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 13.1208 | − | 2.07813i | 1.01532 | − | 0.160810i | 0.373469 | − | 0.927643i | \(-0.378168\pi\) |
0.641848 | + | 0.766832i | \(0.278168\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.9478 | − | 3.88208i | 0.919062 | − | 0.298621i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.18742 | + | 1.63434i | 0.0908041 | + | 0.124981i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −15.7647 | + | 8.03251i | −1.19857 | + | 0.610700i | −0.935243 | − | 0.354007i | \(-0.884819\pi\) |
−0.263324 | + | 0.964707i | \(0.584819\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.9713 | − | 4.24050i | 0.980540 | − | 0.320551i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −3.38520 | − | 3.38520i | −0.254447 | − | 0.254447i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 8.16791 | + | 2.65391i | 0.610498 | + | 0.198363i | 0.597917 | − | 0.801558i | \(-0.295995\pi\) |
0.0125810 | + | 0.999921i | \(0.495995\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.6600 | + | 9.19801i | −0.941009 | + | 0.683683i | −0.948663 | − | 0.316288i | \(-0.897564\pi\) |
0.00765439 | + | 0.999971i | \(0.497564\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.00915 | − | 15.7188i | 0.592053 | − | 1.16197i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −8.99020 | − | 0.699394i | −0.660972 | − | 0.0514204i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.89498 | − | 7.04946i | −0.504211 | − | 0.515507i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −11.9477 | − | 8.68054i | −0.869070 | − | 0.631416i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.00219 | − | 12.3175i | −0.289588 | − | 0.891261i | −0.984986 | − | 0.172636i | \(-0.944772\pi\) |
0.695398 | − | 0.718625i | \(-0.255228\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.65484 | + | 1.37079i | 0.622989 | + | 0.0986718i | 0.459946 | − | 0.887947i | \(-0.347869\pi\) |
0.163044 | + | 0.986619i | \(0.447869\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 2.07978 | + | 1.27192i | 0.148936 | + | 0.0910838i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 11.9910 | − | 11.9910i | 0.854324 | − | 0.854324i | −0.136338 | − | 0.990662i | \(-0.543533\pi\) |
0.990662 | + | 0.136338i | \(0.0435333\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 8.98487i | − | 0.636921i | −0.947936 | − | 0.318460i | \(-0.896834\pi\) | ||
0.947936 | − | 0.318460i | \(-0.103166\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −5.99543 | + | 18.4520i | −0.422885 | + | 1.30151i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.07138 | − | 19.3919i | 0.215568 | − | 1.36105i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.34404 | − | 16.8832i | −0.0938721 | − | 1.17917i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.0252314 | − | 0.159305i | −0.00175370 | − | 0.0110724i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −13.7501 | − | 19.3731i | −0.951112 | − | 1.34006i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.10685 | − | 8.40536i | 0.420413 | − | 0.578649i | −0.545306 | − | 0.838237i | \(-0.683587\pi\) |
0.965719 | + | 0.259588i | \(0.0835867\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 15.0082 | + | 7.64706i | 1.02835 | + | 0.523968i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.830152 | − | 2.00928i | 0.0566159 | − | 0.137032i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.73043 | + | 13.2092i | 0.456891 | + | 0.896699i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 19.1474 | 1.29386 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.96617 | 0.132259 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.85907 | + | 3.64864i | 0.124493 | + | 0.244331i | 0.944838 | − | 0.327537i | \(-0.106219\pi\) |
−0.820345 | + | 0.571868i | \(0.806219\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.223106 | + | 1.39239i | 0.0148737 | + | 0.0928260i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −6.92984 | − | 3.53093i | −0.459949 | − | 0.234356i | 0.208633 | − | 0.977994i | \(-0.433099\pi\) |
−0.668582 | + | 0.743638i | \(0.733099\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.91469 | + | 6.76448i | −0.324772 | + | 0.447010i | −0.939917 | − | 0.341404i | \(-0.889097\pi\) |
0.615145 | + | 0.788414i | \(0.289097\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 11.9758 | + | 8.90524i | 0.787947 | + | 0.585922i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.59393 | − | 16.3775i | −0.169934 | − | 1.07292i | −0.914266 | − | 0.405113i | \(-0.867232\pi\) |
0.744332 | − | 0.667810i | \(-0.232768\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 17.2116 | + | 14.6733i | 1.12276 | + | 0.957182i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.498057 | − | 3.14461i | 0.0323523 | − | 0.204264i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −9.38570 | + | 28.8862i | −0.607110 | + | 1.86849i | −0.125534 | + | 0.992089i | \(0.540064\pi\) |
−0.481576 | + | 0.876404i | \(0.659936\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 28.0900i | 1.80944i | 0.426011 | + | 0.904718i | \(0.359918\pi\) | ||||
−0.426011 | + | 0.904718i | \(0.640082\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 2.06539 | − | 2.06539i | 0.132495 | − | 0.132495i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.524377 | + | 0.857439i | −0.0335012 | + | 0.0547798i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.67858 | + | 0.741015i | 0.297691 | + | 0.0471497i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.46423 | + | 13.7395i | 0.282909 | + | 0.870705i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.23967 | − | 1.62722i | −0.141367 | − | 0.102709i | 0.514854 | − | 0.857278i | \(-0.327846\pi\) |
−0.656221 | + | 0.754569i | \(0.727846\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.275947 | + | 1.87657i | 0.0173486 | + | 0.117979i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −7.12567 | − | 8.32789i | −0.446227 | − | 0.521512i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 6.67056 | − | 13.0917i | 0.416098 | − | 0.816638i | −0.583891 | − | 0.811832i | \(-0.698470\pi\) |
0.999988 | − | 0.00480567i | \(-0.00152970\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.90461 | − | 6.46958i | 0.553306 | − | 0.402000i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.92948 | + | 0.626925i | 0.119432 | + | 0.0388057i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −14.9775 | − | 14.9775i | −0.923555 | − | 0.923555i | 0.0737237 | − | 0.997279i | \(-0.476512\pi\) |
−0.997279 | + | 0.0737237i | \(0.976512\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.03155 | + | 3.30850i | 0.124797 | + | 0.203240i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −15.8669 | + | 8.08458i | −0.971037 | + | 0.494768i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.07765 | + | 2.85964i | 0.126676 | + | 0.174355i | 0.867644 | − | 0.497185i | \(-0.165633\pi\) |
−0.740968 | + | 0.671540i | \(0.765633\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 13.2794 | − | 4.31475i | 0.806669 | − | 0.262103i | 0.123482 | − | 0.992347i | \(-0.460594\pi\) |
0.683186 | + | 0.730244i | \(0.260594\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.93907 | + | 0.465504i | −0.177881 | + | 0.0281736i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.44214 | − | 16.4023i | −0.147267 | − | 0.989097i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.4578 | − | 1.81474i | 0.688432 | − | 0.109037i | 0.197589 | − | 0.980285i | \(-0.436689\pi\) |
0.490843 | + | 0.871248i | \(0.336689\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.45692 | + | 0.473381i | −0.0872233 | + | 0.0283406i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.42669 | − | 8.84557i | −0.383384 | − | 0.527683i | 0.573093 | − | 0.819490i | \(-0.305743\pi\) |
−0.956477 | + | 0.291808i | \(0.905743\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.470400 | − | 0.239681i | 0.0279624 | − | 0.0142476i | −0.439953 | − | 0.898021i | \(-0.645005\pi\) |
0.467916 | + | 0.883773i | \(0.345005\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −13.8172 | − | 22.5021i | −0.818460 | − | 1.33291i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 14.6180 | + | 14.6180i | 0.862876 | + | 0.862876i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.76100 | + | 2.52170i | 0.456529 | + | 0.148335i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −23.2529 | + | 16.8942i | −1.36311 | + | 0.990357i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 6.69792 | − | 13.1454i | 0.391297 | − | 0.767963i | −0.608373 | − | 0.793651i | \(-0.708178\pi\) |
0.999670 | + | 0.0256880i | \(0.00817763\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.22148 | − | 4.93370i | −0.245784 | − | 0.287251i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −12.8293 | + | 12.5482i | −0.744434 | + | 0.728121i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.305968 | − | 0.222299i | −0.0176946 | − | 0.0128559i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.820019 | + | 2.52376i | 0.0472651 | + | 0.145467i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 12.2802 | + | 1.94499i | 0.705478 | + | 0.111737i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 12.4838 | − | 20.4130i | 0.714822 | − | 1.16885i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −21.0899 | + | 21.0899i | −1.20366 | + | 1.20366i | −0.230620 | + | 0.973044i | \(0.574075\pi\) |
−0.973044 | + | 0.230620i | \(0.925925\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 21.6443i | 1.23130i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.47776 | − | 7.62577i | 0.140501 | − | 0.432418i | −0.855904 | − | 0.517135i | \(-0.826999\pi\) |
0.996405 | + | 0.0847168i | \(0.0269986\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.87639 | − | 11.8471i | 0.106060 | − | 0.669636i | −0.876177 | − | 0.481990i | \(-0.839914\pi\) |
0.982237 | − | 0.187646i | \(-0.0600858\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.30985 | − | 1.11668i | −0.0738019 | − | 0.0629179i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.43562 | − | 15.3779i | −0.136798 | − | 0.863707i | −0.956673 | − | 0.291165i | \(-0.905957\pi\) |
0.819875 | − | 0.572542i | \(-0.194043\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −22.6072 | − | 7.62342i | −1.26576 | − | 0.426829i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 10.2606 | − | 14.1225i | 0.572691 | − | 0.788241i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −18.9752 | − | 9.66835i | −1.05581 | − | 0.537962i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.67855 | + | 1.93872i | 0.148579 | + | 0.107541i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.373555 | + | 0.733144i | 0.0206577 | + | 0.0405429i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −27.6071 | −1.52203 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.93255 | −0.490977 | −0.245489 | − | 0.969399i | \(-0.578948\pi\) | ||||
−0.245489 | + | 0.969399i | \(0.578948\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.516341 | + | 1.01338i | 0.0282953 | + | 0.0555327i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −10.0483 | + | 24.3208i | −0.549000 | + | 1.32879i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.62939 | + | 3.88737i | 0.415600 | + | 0.211759i | 0.649271 | − | 0.760557i | \(-0.275074\pi\) |
−0.233672 | + | 0.972316i | \(0.575074\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −17.5533 | + | 24.1600i | −0.953362 | + | 1.31219i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 17.1937 | − | 5.37675i | 0.931091 | − | 0.291167i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.79686 | + | 17.6587i | 0.151016 | + | 0.953480i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.167304 | + | 2.10159i | 0.00900737 | + | 0.113146i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 5.04583 | − | 31.8581i | 0.270874 | − | 1.71023i | −0.358833 | − | 0.933402i | \(-0.616825\pi\) |
0.629708 | − | 0.776832i | \(-0.283175\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −10.6888 | + | 32.8969i | −0.572160 | + | 1.76093i | 0.0734902 | + | 0.997296i | \(0.476586\pi\) |
−0.645651 | + | 0.763633i | \(0.723414\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 3.57825i | − | 0.190993i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 3.39118 | − | 3.39118i | 0.180494 | − | 0.180494i | −0.611077 | − | 0.791571i | \(-0.709263\pi\) |
0.791571 | + | 0.611077i | \(0.209263\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 19.4902 | + | 11.9195i | 1.03443 | + | 0.632619i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 13.2136 | + | 2.09283i | 0.699339 | + | 0.110764i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −2.79571 | − | 8.60432i | −0.147552 | − | 0.454118i | 0.849778 | − | 0.527140i | \(-0.176736\pi\) |
−0.997330 | + | 0.0730218i | \(0.976736\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −26.1371 | − | 18.9897i | −1.37564 | − | 0.999459i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 13.1042 | − | 12.5361i | 0.687794 | − | 0.657974i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 25.8918 | + | 2.01426i | 1.35524 | + | 0.105431i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.66686 | − | 13.0845i | 0.348007 | − | 0.683003i | −0.648960 | − | 0.760823i | \(-0.724796\pi\) |
0.996967 | + | 0.0778194i | \(0.0247958\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.72820 | + | 1.25561i | −0.0899666 | + | 0.0653646i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.50702 | − | 1.46442i | −0.233993 | − | 0.0760289i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.3954 | + | 13.3954i | 0.693587 | + | 0.693587i | 0.963019 | − | 0.269433i | \(-0.0868361\pi\) |
−0.269433 | + | 0.963019i | \(0.586836\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.49584 | − | 18.3714i | −0.0772449 | − | 0.948696i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 4.23861 | − | 2.15968i | 0.218300 | − | 0.111229i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −13.1427 | − | 18.0893i | −0.675094 | − | 0.929187i | 0.324768 | − | 0.945794i | \(-0.394714\pi\) |
−0.999862 | + | 0.0166063i | \(0.994714\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −18.2664 | + | 5.93510i | −0.935814 | + | 0.304064i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −6.57440 | + | 1.04128i | −0.335936 | + | 0.0532071i | −0.322124 | − | 0.946698i | \(-0.604397\pi\) |
−0.0138125 | + | 0.999905i | \(0.504397\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 15.2572 | + | 13.3018i | 0.777581 | + | 0.677923i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.270828 | + | 0.0428950i | −0.0137670 | + | 0.00218047i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −2.93098 | + | 0.952333i | −0.148607 | + | 0.0482852i | −0.382376 | − | 0.924007i | \(-0.624894\pi\) |
0.233769 | + | 0.972292i | \(0.424894\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.999421 | + | 1.37558i | 0.0505429 | + | 0.0695663i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −12.9259 | + | 6.58605i | −0.652023 | + | 0.332222i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.00430 | − | 4.19986i | 0.0505316 | − | 0.211318i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −21.9943 | − | 21.9943i | −1.10386 | − | 1.10386i | −0.993940 | − | 0.109921i | \(-0.964940\pi\) |
−0.109921 | − | 0.993940i | \(-0.535060\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 30.6536 | + | 9.95995i | 1.53460 | + | 0.498621i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.90003 | − | 2.10700i | 0.144821 | − | 0.105218i | −0.513016 | − | 0.858379i | \(-0.671472\pi\) |
0.657836 | + | 0.753161i | \(0.271472\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.63074 | + | 3.20051i | −0.0812330 | + | 0.159429i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −13.7184 | + | 11.7380i | −0.681675 | + | 0.583268i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.93970 | − | 11.9837i | −0.294420 | − | 0.594008i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 20.0092 | + | 14.5375i | 0.989392 | + | 0.718835i | 0.959788 | − | 0.280727i | \(-0.0905754\pi\) |
0.0296038 | + | 0.999562i | \(0.490575\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.45974 | − | 4.49262i | −0.0720037 | − | 0.221605i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 7.82817 | + | 1.23986i | 0.385199 | + | 0.0610095i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.59133 | + | 19.0487i | 0.225380 | + | 0.935062i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −5.64503 | + | 5.64503i | −0.276438 | + | 0.276438i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 32.1254i | 1.56943i | 0.619857 | + | 0.784715i | \(0.287191\pi\) | ||||
−0.619857 | + | 0.784715i | \(0.712809\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.16343 | + | 12.8137i | −0.202913 | + | 0.624503i | 0.796879 | + | 0.604138i | \(0.206483\pi\) |
−0.999793 | + | 0.0203643i | \(0.993517\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.446257 | − | 2.81756i | 0.0216978 | − | 0.136994i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −8.75952 | − | 12.0109i | −0.424899 | − | 0.582613i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.56891 | + | 28.8470i | 0.221105 | + | 1.39600i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.0400546 | + | 3.61574i | −0.00193386 | + | 0.174570i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −16.8253 | + | 23.1581i | −0.810447 | + | 1.11548i | 0.180808 | + | 0.983519i | \(0.442129\pi\) |
−0.991254 | + | 0.131966i | \(0.957871\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −35.2157 | − | 17.9433i | −1.69236 | − | 0.862301i | −0.988366 | − | 0.152095i | \(-0.951398\pi\) |
−0.703994 | − | 0.710206i | \(-0.748602\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −24.5088 | − | 10.1260i | −1.17511 | − | 0.485505i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.85973 | + | 3.64992i | 0.0889628 | + | 0.174599i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −20.6650 | −0.986286 | −0.493143 | − | 0.869948i | \(-0.664152\pi\) | ||||
−0.493143 | + | 0.869948i | \(0.664152\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.126768 | 0.00603656 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 4.12682 | + | 8.09934i | 0.196071 | + | 0.384811i | 0.968020 | − | 0.250873i | \(-0.0807178\pi\) |
−0.771949 | + | 0.635685i | \(0.780718\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −22.3062 | + | 9.26310i | −1.05742 | + | 0.439113i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 15.2895 | + | 7.79039i | 0.723169 | + | 0.368473i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.17770 | − | 8.50288i | 0.291544 | − | 0.401276i | −0.637971 | − | 0.770060i | \(-0.720226\pi\) |
0.929515 | + | 0.368785i | \(0.120226\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 20.4857 | − | 14.5397i | 0.964632 | − | 0.684650i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.899410 | − | 5.67865i | −0.0422580 | − | 0.266806i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −4.02329 | + | 0.320288i | −0.188615 | + | 0.0150153i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.98281 | + | 31.4602i | −0.233086 | + | 1.47165i | 0.542314 | + | 0.840176i | \(0.317548\pi\) |
−0.775400 | + | 0.631471i | \(0.782452\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −4.97123 | + | 15.2999i | −0.232037 | + | 0.714137i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 31.1938i | 1.45284i | 0.687250 | + | 0.726421i | \(0.258817\pi\) | ||||
−0.687250 | + | 0.726421i | \(0.741183\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −23.0136 | + | 23.0136i | −1.06953 | + | 1.06953i | −0.0721400 | + | 0.997395i | \(0.522983\pi\) |
−0.997395 | + | 0.0721400i | \(0.977017\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 19.4660 | − | 4.69194i | 0.902716 | − | 0.217583i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 21.1044 | + | 3.34260i | 0.976593 | + | 0.154677i | 0.624276 | − | 0.781204i | \(-0.285394\pi\) |
0.352317 | + | 0.935881i | \(0.385394\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −9.92570 | − | 30.5482i | −0.458326 | − | 1.41058i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 27.7874 | + | 20.1888i | 1.28038 | + | 0.930249i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.19029 | − | 0.469127i | 0.146690 | − | 0.0215705i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −16.3169 | − | 31.8816i | −0.748672 | − | 1.46283i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.222312 | − | 0.436312i | 0.0101790 | − | 0.0199773i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −0.590214 | + | 0.428815i | −0.0269676 | + | 0.0195931i | −0.601187 | − | 0.799108i | \(-0.705305\pi\) |
0.574220 | + | 0.818701i | \(0.305305\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.53633 | + | 0.824104i | 0.115647 | + | 0.0375759i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.81963 | − | 1.81963i | −0.0827961 | − | 0.0827961i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −33.2206 | + | 20.3988i | −1.50847 | + | 0.926263i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.964210 | − | 0.491290i | 0.0436925 | − | 0.0222625i | −0.432008 | − | 0.901870i | \(-0.642195\pi\) |
0.475700 | + | 0.879607i | \(0.342195\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −4.31934 | − | 5.94507i | −0.195327 | − | 0.268845i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 20.1190 | − | 6.53706i | 0.907958 | − | 0.295013i | 0.182440 | − | 0.983217i | \(-0.441600\pi\) |
0.725518 | + | 0.688203i | \(0.241600\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −21.1239 | + | 3.34570i | −0.951372 | + | 0.150683i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.60420 | + | 1.34212i | −0.0721034 | + | 0.0603240i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −27.5428 | + | 4.36236i | −1.23546 | + | 0.195678i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 30.9627 | − | 10.0604i | 1.38608 | − | 0.450365i | 0.481418 | − | 0.876491i | \(-0.340122\pi\) |
0.904664 | + | 0.426126i | \(0.140122\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.8730 | + | 17.7182i | 0.575125 | + | 0.791591i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −9.16560 | + | 4.67011i | −0.408674 | + | 0.208230i | −0.646228 | − | 0.763145i | \(-0.723654\pi\) |
0.237554 | + | 0.971374i | \(0.423654\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 16.4011 | + | 3.92193i | 0.729839 | + | 0.174524i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 14.6450 | + | 14.6450i | 0.650407 | + | 0.650407i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −5.03977 | − | 1.63752i | −0.223384 | − | 0.0725818i | 0.195187 | − | 0.980766i | \(-0.437469\pi\) |
−0.418570 | + | 0.908184i | \(0.637469\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −25.6453 | + | 18.6324i | −1.13448 | + | 0.824250i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −17.5955 | + | 34.5331i | −0.776859 | + | 1.52467i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −2.27692 | + | 29.2681i | −0.100333 | + | 1.28971i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.61462 | + | 33.0738i | −0.246931 | + | 1.45459i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −23.5985 | − | 17.1453i | −1.03586 | − | 0.752596i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.32349 | − | 19.4617i | −0.277037 | − | 0.852633i | −0.988673 | − | 0.150084i | \(-0.952045\pi\) |
0.711636 | − | 0.702548i | \(-0.247955\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 24.1816 | + | 3.83000i | 1.05739 | + | 0.167474i | 0.660830 | − | 0.750535i | \(-0.270204\pi\) |
0.396559 | + | 0.918009i | \(0.370204\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 15.9376 | + | 15.8802i | 0.695572 | + | 0.693069i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 11.4192 | − | 11.4192i | 0.497427 | − | 0.497427i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.6729i | 0.985780i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.253078 | + | 0.778895i | −0.0109827 | + | 0.0338012i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.783572 | + | 4.94728i | −0.0339403 | + | 0.214290i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 15.3604 | − | 18.0176i | 0.664088 | − | 0.778967i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 2.21493 | + | 13.9845i | 0.0955811 | + | 0.603475i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.49067 | − | 0.0165135i | −0.0642079 | − | 0.000711285i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.6521 | − | 20.1669i | 0.629943 | − | 0.867042i | −0.368086 | − | 0.929792i | \(-0.619987\pi\) |
0.998029 | + | 0.0627495i | \(0.0199869\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −22.9868 | − | 11.7124i | −0.986458 | − | 0.502626i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.428010 | + | 1.03068i | 0.0183339 | + | 0.0441495i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.1235 | − | 21.8311i | −0.475607 | − | 0.933432i | −0.996796 | − | 0.0799903i | \(-0.974511\pi\) |
0.521188 | − | 0.853442i | \(-0.325489\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −3.01795 | −0.128803 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −51.5261 | −2.19508 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.39295 | + | 4.69644i | 0.101759 | + | 0.199713i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −5.70144 | − | 13.7295i | −0.242013 | − | 0.582785i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −18.5955 | − | 9.47486i | −0.787915 | − | 0.401463i | 0.0132455 | − | 0.999912i | \(-0.495784\pi\) |
−0.801161 | + | 0.598449i | \(0.795784\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.377922 | + | 0.520166i | −0.0159844 | + | 0.0220007i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 5.19459 | − | 15.4045i | 0.219316 | − | 0.650380i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 4.35533 | + | 27.4985i | 0.183555 | + | 1.15892i | 0.891623 | + | 0.452779i | \(0.149567\pi\) |
−0.708068 | + | 0.706145i | \(0.750433\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −26.2777 | + | 30.8234i | −1.10551 | + | 1.29675i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 3.44750 | − | 21.7666i | 0.144781 | − | 0.914113i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 4.26019 | − | 13.1115i | 0.178596 | − | 0.549663i | −0.821183 | − | 0.570665i | \(-0.806686\pi\) |
0.999779 | + | 0.0210019i | \(0.00668560\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 6.81131i | − | 0.285045i | −0.989792 | − | 0.142522i | \(-0.954479\pi\) | ||
0.989792 | − | 0.142522i | \(-0.0455213\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 15.0981 | − | 15.0981i | 0.630733 | − | 0.630733i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.00515303 | + | 2.85945i | 0.000214896 | + | 0.119247i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 20.8978 | + | 3.30988i | 0.869986 | + | 0.137792i | 0.575439 | − | 0.817845i | \(-0.304831\pi\) |
0.294547 | + | 0.955637i | \(0.404831\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 4.46420 | + | 13.7394i | 0.185526 | + | 0.570990i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −19.3492 | − | 14.0580i | −0.802739 | − | 0.583224i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.67102 | + | 5.10167i | −0.110623 | + | 0.211290i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.0323465 | − | 0.415791i | 0.00133737 | − | 0.0171909i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −11.1480 | + | 21.8792i | −0.460127 | + | 0.903050i | 0.538063 | + | 0.842905i | \(0.319156\pi\) |
−0.998190 | + | 0.0601452i | \(0.980844\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 31.4760 | − | 22.8687i | 1.29695 | − | 0.942287i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 26.5889 | + | 8.63924i | 1.09372 | + | 0.355371i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −27.1378 | − | 27.1378i | −1.11442 | − | 1.11442i | −0.992546 | − | 0.121869i | \(-0.961111\pi\) |
−0.121869 | − | 0.992546i | \(-0.538889\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 17.6478 | + | 4.22004i | 0.723488 | + | 0.173005i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 13.1982 | − | 6.72482i | 0.540167 | − | 0.275229i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −8.05679 | − | 11.0892i | −0.329191 | − | 0.453093i | 0.612054 | − | 0.790816i | \(-0.290343\pi\) |
−0.941246 | + | 0.337723i | \(0.890343\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 28.8515 | − | 9.37441i | 1.17688 | − | 0.382390i | 0.345671 | − | 0.938356i | \(-0.387651\pi\) |
0.831205 | + | 0.555966i | \(0.187651\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.27817 | − | 0.519211i | 0.133497 | − | 0.0211439i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 19.0388 | − | 15.5732i | 0.774036 | − | 0.633141i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.2838 | + | 2.26233i | −0.579762 | + | 0.0918253i | −0.439426 | − | 0.898279i | \(-0.644818\pi\) |
−0.140336 | + | 0.990104i | \(0.544818\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 30.7843 | − | 10.0024i | 1.24744 | − | 0.405319i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −3.93171 | − | 5.41153i | −0.159060 | − | 0.218927i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −30.9853 | + | 15.7878i | −1.25149 | + | 0.637664i | −0.948936 | − | 0.315470i | \(-0.897838\pi\) |
−0.302550 | + | 0.953134i | \(0.597838\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 23.7944 | − | 14.6107i | 0.959482 | − | 0.589161i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −0.800590 | − | 0.800590i | −0.0322306 | − | 0.0322306i | 0.690808 | − | 0.723038i | \(-0.257255\pi\) |
−0.723038 | + | 0.690808i | \(0.757255\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −9.45441 | − | 3.07192i | −0.380005 | − | 0.123471i | 0.112785 | − | 0.993619i | \(-0.464023\pi\) |
−0.492790 | + | 0.870148i | \(0.664023\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.50343 | − | 1.81885i | 0.100459 | − | 0.0729879i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 13.3844 | − | 26.2683i | 0.536234 | − | 1.05242i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.0901049 | − | 24.9998i | −0.00360420 | − | 0.999994i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 18.1664 | − | 34.6980i | 0.725497 | − | 1.38570i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −9.69993 | − | 7.04741i | −0.386761 | − | 0.280999i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.103041 | + | 0.317127i | 0.00410199 | + | 0.0126246i | 0.953087 | − | 0.302698i | \(-0.0978873\pi\) |
−0.948985 | + | 0.315322i | \(0.897887\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 16.9177 | + | 2.67950i | 0.672418 | + | 0.106500i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −25.3248 | + | 6.10408i | −1.00498 | + | 0.242233i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.210186 | − | 0.210186i | 0.00832786 | − | 0.00832786i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 2.88152i | − | 0.113991i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 14.3766 | − | 44.2465i | 0.567840 | − | 1.74763i | −0.0915201 | − | 0.995803i | \(-0.529173\pi\) |
0.659360 | − | 0.751828i | \(-0.270827\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −5.87523 | + | 37.0947i | −0.231696 | + | 1.46287i | 0.547875 | + | 0.836560i | \(0.315437\pi\) |
−0.779572 | + | 0.626313i | \(0.784563\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 3.57285 | − | 0.284428i | 0.140681 | − | 0.0111994i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.471294 | − | 2.97563i | −0.0185285 | − | 0.116984i | 0.976691 | − | 0.214652i | \(-0.0688617\pi\) |
−0.995219 | + | 0.0976678i | \(0.968862\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.07744 | − | 9.12614i | 0.120800 | − | 0.358232i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −14.3660 | + | 19.7731i | −0.563049 | + | 0.774971i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 14.7169 | + | 7.49862i | 0.575916 | + | 0.293444i | 0.717586 | − | 0.696470i | \(-0.245247\pi\) |
−0.141670 | + | 0.989914i | \(0.545247\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −18.1716 | + | 7.54613i | −0.710025 | + | 0.294852i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.48706 | − | 2.91853i | −0.0580159 | − | 0.113863i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −15.0069 | −0.584587 | −0.292294 | − | 0.956329i | \(-0.594418\pi\) | ||||
−0.292294 | + | 0.956329i | \(0.594418\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.50307 | 0.136254 | 0.0681268 | − | 0.997677i | \(-0.478298\pi\) | ||||
0.0681268 | + | 0.997677i | \(0.478298\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.47160 | + | 2.88818i | 0.0571523 | + | 0.112168i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 40.4031 | + | 16.6929i | 1.56676 | + | 0.647322i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.66549 | + | 1.86766i | 0.141928 | + | 0.0723160i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −3.96818 | + | 5.46173i | −0.153419 | + | 0.211163i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 35.4884 | + | 0.393136i | 1.37002 | + | 0.0151768i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.12248 | − | 19.7146i | −0.120363 | − | 0.759941i | −0.971856 | − | 0.235576i | \(-0.924302\pi\) |
0.851493 | − | 0.524366i | \(-0.175698\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −21.8586 | + | 15.9415i | −0.841339 | + | 0.613588i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 0.658819 | − | 4.15962i | 0.0253205 | − | 0.159867i | −0.971788 | − | 0.235855i | \(-0.924211\pi\) |
0.997109 | + | 0.0759877i | \(0.0242110\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.7042 | − | 45.2550i | 0.564297 | − | 1.73673i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 12.8223i | − | 0.491350i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 11.4089 | − | 11.4089i | 0.436550 | − | 0.436550i | −0.454299 | − | 0.890849i | \(-0.650110\pi\) |
0.890849 | + | 0.454299i | \(0.150110\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.50130 | − | 6.22865i | −0.0573618 | − | 0.237984i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −13.6151 | − | 2.15641i | −0.519447 | − | 0.0822723i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −0.354820 | − | 1.09202i | −0.0135176 | − | 0.0416028i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −29.2679 | − | 21.2644i | −1.11340 | − | 0.808934i | −0.130207 | − | 0.991487i | \(-0.541564\pi\) |
−0.983196 | + | 0.182553i | \(0.941564\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.427288 | − | 2.51701i | 0.0162313 | − | 0.0956134i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −8.22725 | + | 7.03957i | −0.312077 | + | 0.267026i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 10.2236 | − | 20.0650i | 0.387247 | − | 0.760015i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 22.1160 | − | 16.0682i | 0.836504 | − | 0.607756i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 29.6610 | + | 9.63745i | 1.12028 | + | 0.364002i | 0.809875 | − | 0.586602i | \(-0.199535\pi\) |
0.310407 | + | 0.950604i | \(0.399535\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −20.4253 | − | 20.4253i | −0.770355 | − | 0.770355i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −8.67195 | + | 36.2652i | −0.326605 | + | 1.36583i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −18.3403 | + | 9.34485i | −0.689758 | + | 0.351449i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −17.5377 | − | 24.1385i | −0.658641 | − | 0.906542i | 0.340794 | − | 0.940138i | \(-0.389304\pi\) |
−0.999435 | + | 0.0335959i | \(0.989304\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.517996 | + | 0.168307i | −0.0194264 | + | 0.00631201i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −3.06807 | + | 0.485935i | −0.114900 | + | 0.0181984i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.434530 | + | 4.88512i | −0.0162505 | + | 0.182693i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −49.4569 | + | 7.83320i | −1.84700 | + | 0.292536i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 12.2810 | − | 3.99034i | 0.458004 | − | 0.148815i | −0.0709230 | − | 0.997482i | \(-0.522594\pi\) |
0.528927 | + | 0.848667i | \(0.322594\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −21.0621 | − | 28.9895i | −0.784394 | − | 1.07963i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −41.2624 | + | 21.0243i | −1.53457 | + | 0.781901i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −32.0765 | − | 16.2710i | −1.19129 | − | 0.604291i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.3834 | − | 10.3834i | −0.385099 | − | 0.385099i | 0.487836 | − | 0.872935i | \(-0.337786\pi\) |
−0.872935 | + | 0.487836i | \(0.837786\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 27.6173 | + | 8.97342i | 1.02286 | + | 0.332349i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.33858 | − | 1.69908i | 0.0864956 | − | 0.0628427i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 12.4945 | − | 24.5219i | 0.461497 | − | 0.905738i | −0.536586 | − | 0.843846i | \(-0.680286\pi\) |
0.998083 | − | 0.0618926i | \(-0.0197136\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.65200 | − | 0.128518i | −0.0609350 | − | 0.00474044i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −38.6160 | + | 5.67842i | −1.42244 | + | 0.209167i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −28.1908 | − | 20.4818i | −1.03701 | − | 0.753435i | −0.0673143 | − | 0.997732i | \(-0.521443\pi\) |
−0.969701 | + | 0.244296i | \(0.921443\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.41323 | + | 7.42717i | 0.0886523 | + | 0.272844i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 49.4995 | + | 7.83995i | 1.81596 | + | 0.287620i | 0.969547 | − | 0.244906i | \(-0.0787572\pi\) |
0.846414 | + | 0.532526i | \(0.178757\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 19.8555 | + | 12.1429i | 0.727449 | + | 0.444880i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.74752 | − | 1.74752i | 0.0639384 | − | 0.0639384i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 28.8998i | 1.05598i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.99712 | − | 15.3795i | 0.182347 | − | 0.561208i | −0.817545 | − | 0.575864i | \(-0.804666\pi\) |
0.999893 | + | 0.0146569i | \(0.00466559\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.713972 | − | 4.50784i | 0.0260186 | − | 0.164275i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.618835 | − | 7.77349i | −0.0225217 | − | 0.282906i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.83230 | − | 24.1962i | −0.139287 | − | 0.879426i | −0.954054 | − | 0.299636i | \(-0.903135\pi\) |
0.814766 | − | 0.579790i | \(-0.196865\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −2.55002 | + | 1.80989i | −0.0925600 | + | 0.0656947i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 0.852430 | − | 1.17327i | 0.0309006 | − | 0.0425310i | −0.793287 | − | 0.608848i | \(-0.791632\pi\) |
0.824188 | + | 0.566317i | \(0.191632\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.21375 | − | 0.618437i | −0.0439408 | − | 0.0223889i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.715963 | + | 1.73290i | −0.0258857 | + | 0.0626532i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.871825 | + | 1.71105i | 0.0314798 | + | 0.0617825i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.2732 | −0.370462 | −0.185231 | − | 0.982695i | \(-0.559303\pi\) | ||||
−0.185231 | + | 0.982695i | \(0.559303\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 24.2235 | 0.872389 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 18.5975 | + | 36.4996i | 0.668904 | + | 1.31280i | 0.936974 | + | 0.349399i | \(0.113614\pi\) |
−0.268070 | + | 0.963400i | \(0.586386\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 26.8163 | − | 4.29683i | 0.963268 | − | 0.154347i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 16.1682 | + | 8.23809i | 0.580030 | + | 0.295540i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 31.8896 | − | 43.8923i | 1.14256 | − | 1.57260i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.375362 | + | 33.8840i | −0.0134315 | + | 1.21247i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 6.08884 | + | 38.4435i | 0.217598 | + | 1.37386i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 35.4514 | + | 30.2231i | 1.26531 | + | 1.07871i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.368757 | − | 2.32824i | 0.0131448 | − | 0.0829927i | −0.980244 | − | 0.197793i | \(-0.936623\pi\) |
0.993389 | + | 0.114800i | \(0.0366227\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 10.7910 | − | 33.2112i | 0.384169 | − | 1.18235i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | − | 49.4402i | − | 1.75789i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.00388 | + | 5.00388i | −0.177693 | + | 0.177693i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −3.33944 | + | 5.46051i | −0.118438 | + | 0.193664i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 7.59442 | + | 1.20284i | 0.269008 | + | 0.0426067i | 0.289481 | − | 0.957184i | \(-0.406517\pi\) |
−0.0204731 | + | 0.999790i | \(0.506517\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.29301 | + | 28.6009i | 0.328763 | + | 1.01183i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 2.46457 | + | 1.79062i | 0.0870813 | + | 0.0632683i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 17.1064 | + | 34.5130i | 0.603670 | + | 1.21794i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.26915 | − | 2.65199i | −0.0799771 | − | 0.0934704i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.64559 | + | 5.19226i | −0.0931291 | + | 0.182776i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 27.0136 | − | 19.6265i | 0.949747 | − | 0.690032i | −0.000999838 | − | 1.00000i | \(-0.500318\pi\) |
0.950747 | + | 0.309968i | \(0.100318\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 51.0085 | + | 16.5737i | 1.79115 | + | 0.581980i | 0.999577 | − | 0.0290941i | \(-0.00926225\pi\) |
0.791573 | + | 0.611074i | \(0.209262\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 16.2772 | + | 16.2772i | 0.570868 | + | 0.570868i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −5.21537 | − | 8.49351i | −0.182686 | − | 0.297515i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 6.20510 | − | 3.16166i | 0.217089 | − | 0.110612i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.299214 | + | 0.411833i | 0.0104554 | + | 0.0143906i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −37.9455 | + | 12.3292i | −1.32431 | + | 0.430294i | −0.883972 | − | 0.467539i | \(-0.845141\pi\) |
−0.440336 | + | 0.897833i | \(0.645141\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.4991 | − | 2.77159i | 0.609981 | − | 0.0966115i | 0.156201 | − | 0.987725i | \(-0.450075\pi\) |
0.453780 | + | 0.891114i | \(0.350075\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 22.2661 | − | 15.8638i | 0.775207 | − | 0.552308i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.3060 | − | 5.75031i | 1.26248 | − | 0.199958i | 0.510926 | − | 0.859625i | \(-0.329303\pi\) |
0.751558 | + | 0.659667i | \(0.229303\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −46.4693 | + | 15.0988i | −1.61395 | + | 0.524403i | −0.970503 | − | 0.241090i | \(-0.922495\pi\) |
−0.643444 | + | 0.765493i | \(0.722495\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 11.2414 | + | 15.4725i | 0.389961 | + | 0.536736i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.19072 | + | 0.606703i | −0.0412561 | + | 0.0210210i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 15.5435 | + | 25.3134i | 0.537904 | + | 0.876007i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −20.7818 | − | 20.7818i | −0.718323 | − | 0.718323i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −3.92426 | − | 1.27507i | −0.135480 | − | 0.0440203i | 0.240492 | − | 0.970651i | \(-0.422691\pi\) |
−0.375972 | + | 0.926631i | \(0.622691\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −18.4017 | + | 13.3696i | −0.634543 | + | 0.461022i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 8.18347 | − | 16.0610i | 0.281854 | − | 0.553169i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 18.2629 | + | 21.3441i | 0.628262 | + | 0.734259i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.35241 | + | 29.5422i | −0.183911 | + | 1.01508i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0.704153 | + | 0.511597i | 0.0241665 | + | 0.0175580i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.712672 | + | 2.19338i | 0.0244301 | + | 0.0751881i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 41.1879 | + | 6.52352i | 1.41025 | + | 0.223361i | 0.814664 | − | 0.579934i | \(-0.196922\pi\) |
0.595582 | + | 0.803295i | \(0.296922\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.35676 | + | 3.85368i | −0.0805995 | + | 0.131793i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 10.0809 | − | 10.0809i | 0.344355 | − | 0.344355i | −0.513647 | − | 0.858002i | \(-0.671706\pi\) |
0.858002 | + | 0.513647i | \(0.171706\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.0021i | 0.409508i | 0.978813 | + | 0.204754i | \(0.0656394\pi\) | ||||
−0.978813 | + | 0.204754i | \(0.934361\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −10.5320 | + | 32.4140i | −0.358928 | + | 1.10467i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 3.55801 | − | 22.4644i | 0.121116 | − | 0.764696i | −0.850122 | − | 0.526586i | \(-0.823472\pi\) |
0.971238 | − | 0.238110i | \(-0.0765280\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −30.1071 | − | 25.6670i | −1.02367 | − | 0.872704i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 2.10458 | + | 13.2878i | 0.0714754 | + | 0.451278i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 6.11309 | − | 1.91166i | 0.207372 | − | 0.0648487i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.57446 | − | 6.29620i | 0.155000 | − | 0.213339i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 4.38100 | + | 2.23223i | 0.148274 | + | 0.0755496i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 19.8808 | + | 23.1504i | 0.672093 | + | 0.782626i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.58348 | + | 7.03297i | 0.121005 | + | 0.237487i | 0.943561 | − | 0.331198i | \(-0.107453\pi\) |
−0.822556 | + | 0.568684i | \(0.807453\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 24.3229 | 0.820391 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 27.7099 | 0.933570 | 0.466785 | − | 0.884371i | \(-0.345412\pi\) | ||||
0.466785 | + | 0.884371i | \(0.345412\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.21785 | − | 6.31538i | −0.108289 | − | 0.212529i | 0.830502 | − | 0.557015i | \(-0.188053\pi\) |
−0.938792 | + | 0.344485i | \(0.888053\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 4.08769 | − | 9.89377i | 0.137406 | − | 0.332575i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −39.3366 | − | 20.0430i | −1.32079 | − | 0.672978i | −0.355630 | − | 0.934627i | \(-0.615734\pi\) |
−0.965163 | + | 0.261649i | \(0.915734\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 18.6898 | − | 25.7243i | 0.626837 | − | 0.862766i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −25.3757 | − | 8.55698i | −0.850119 | − | 0.286670i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 11.3339 | + | 71.5594i | 0.379274 | + | 2.39464i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.52397 | + | 19.1433i | 0.0509407 | + | 0.639891i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.0975378 | − | 0.615830i | 0.00325669 | − | 0.0205620i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 12.0740 | − | 37.1601i | 0.402692 | − | 1.23936i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.16222i | 0.171979i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −3.09349 | + | 3.09349i | −0.102945 | + | 0.102945i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −29.8515 | − | 18.2560i | −0.992296 | − | 0.606851i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 4.53051 | + | 0.717563i | 0.150433 | + | 0.0238263i | 0.231197 | − | 0.972907i | \(-0.425736\pi\) |
−0.0807636 | + | 0.996733i | \(0.525736\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −0.657265 | − | 2.02285i | −0.0218001 | − | 0.0670938i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −16.0774 | − | 11.6809i | −0.532668 | − | 0.387006i | 0.288687 | − | 0.957424i | \(-0.406781\pi\) |
−0.821355 | + | 0.570418i | \(0.806781\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −20.7769 | + | 20.3216i | −0.687616 | + | 0.672548i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 39.3291 | + | 3.05961i | 1.30018 | + | 0.101148i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 10.9035 | − | 21.3993i | 0.360065 | − | 0.706668i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.99757 | + | 3.63095i | −0.164855 | + | 0.119774i | −0.667154 | − | 0.744920i | \(-0.732488\pi\) |
0.502299 | + | 0.864694i | \(0.332488\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −46.7647 | − | 15.1948i | −1.54095 | − | 0.500685i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −4.77767 | − | 4.77767i | −0.157259 | − | 0.157259i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −6.26539 | − | 19.1653i | −0.206005 | − | 0.630151i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 3.29911 | − | 1.68098i | 0.108357 | − | 0.0552106i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 2.73706 | + | 3.76724i | 0.0898000 | + | 0.123599i | 0.851553 | − | 0.524268i | \(-0.175661\pi\) |
−0.761753 | + | 0.647867i | \(0.775661\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3.06202 | + | 0.994912i | −0.100354 | + | 0.0326069i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 13.0563 | − | 2.06791i | 0.427444 | − | 0.0677005i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 8.64482 | − | 20.2841i | 0.282716 | − | 0.663362i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −23.1004 | + | 3.65875i | −0.754658 | + | 0.119526i | −0.521898 | − | 0.853008i | \(-0.674776\pi\) |
−0.232760 | + | 0.972534i | \(0.574776\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 18.8070 | − | 6.11077i | 0.613743 | − | 0.199417i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6.83496 | + | 9.40752i | 0.222813 | + | 0.306676i | 0.905759 | − | 0.423793i | \(-0.139302\pi\) |
−0.682946 | + | 0.730469i | \(0.739302\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −3.85954 | + | 1.96653i | −0.125684 | + | 0.0640391i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 7.68007 | − | 32.1172i | 0.249833 | − | 1.04477i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 6.63605 | + | 6.63605i | 0.215643 | + | 0.215643i | 0.806659 | − | 0.591017i | \(-0.201273\pi\) |
−0.591017 | + | 0.806659i | \(0.701273\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −7.30465 | − | 2.37342i | −0.237119 | − | 0.0770446i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 20.7662 | − | 15.0875i | 0.673389 | − | 0.489246i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.58309 | − | 7.03220i | 0.116068 | − | 0.227795i | −0.825663 | − | 0.564164i | \(-0.809199\pi\) |
0.941731 | + | 0.336368i | \(0.109199\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 22.0045 | − | 18.8279i | 0.712048 | − | 0.609257i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −5.72231 | − | 38.9144i | −0.184976 | − | 1.25793i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 6.32691 | + | 4.59677i | 0.204307 | + | 0.148438i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.462610 | − | 1.42377i | −0.0149229 | − | 0.0459279i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −2.94949 | − | 0.467153i | −0.0950460 | − | 0.0150538i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.59131 | + | 19.0485i | 0.147799 | + | 0.613194i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −23.5445 | + | 23.5445i | −0.757141 | + | 0.757141i | −0.975801 | − | 0.218660i | \(-0.929831\pi\) |
0.218660 | + | 0.975801i | \(0.429831\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 35.1098i | − | 1.12789i | ||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −7.03544 | + | 21.6529i | −0.225778 | + | 0.694873i | 0.772434 | + | 0.635095i | \(0.219039\pi\) |
−0.998212 | + | 0.0597777i | \(0.980961\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 2.06754 | − | 13.0539i | 0.0662823 | − | 0.418490i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.843062 | + | 5.38568i | −0.0269996 | + | 0.172480i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 4.85790 | + | 30.6715i | 0.155418 | + | 0.981270i | 0.934917 | + | 0.354866i | \(0.115474\pi\) |
−0.779499 | + | 0.626403i | \(0.784526\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −28.7479 | − | 21.3771i | −0.918786 | − | 0.683214i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.0827371 | − | 0.113878i | 0.00264159 | − | 0.00363584i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −19.3389 | − | 9.85367i | −0.616816 | − | 0.314283i | 0.117519 | − | 0.993071i | \(-0.462506\pi\) |
−0.734335 | + | 0.678787i | \(0.762506\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 35.0456 | + | 14.4794i | 1.11664 | + | 0.461351i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −20.6628 | − | 40.5531i | −0.657705 | − | 1.29082i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.556022 | −0.0176805 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −53.4629 | −1.69830 | −0.849152 | − | 0.528148i | \(-0.822887\pi\) | ||||
−0.849152 | + | 0.528148i | \(0.822887\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −6.68566 | − | 13.1214i | −0.212163 | − | 0.416394i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 18.5545 | − | 7.70513i | 0.588218 | − | 0.244269i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 21.5590 | + | 10.9849i | 0.682780 | + | 0.347894i | 0.760735 | − | 0.649063i | \(-0.224839\pi\) |
−0.0779545 | + | 0.996957i | \(0.524839\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −12.8256 | + | 17.6529i | −0.405784 | + | 0.558514i |
(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 | 880.2.cm.b.337.5 | 48 | ||
4.3 | odd | 2 | 220.2.u.a.117.2 | yes | 48 | ||
5.3 | odd | 4 | inner | 880.2.cm.b.513.2 | 48 | ||
11.8 | odd | 10 | inner | 880.2.cm.b.657.2 | 48 | ||
20.3 | even | 4 | 220.2.u.a.73.5 | ✓ | 48 | ||
44.19 | even | 10 | 220.2.u.a.217.5 | yes | 48 | ||
55.8 | even | 20 | inner | 880.2.cm.b.833.5 | 48 | ||
220.63 | odd | 20 | 220.2.u.a.173.2 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
220.2.u.a.73.5 | ✓ | 48 | 20.3 | even | 4 | ||
220.2.u.a.117.2 | yes | 48 | 4.3 | odd | 2 | ||
220.2.u.a.173.2 | yes | 48 | 220.63 | odd | 20 | ||
220.2.u.a.217.5 | yes | 48 | 44.19 | even | 10 | ||
880.2.cm.b.337.5 | 48 | 1.1 | even | 1 | trivial | ||
880.2.cm.b.513.2 | 48 | 5.3 | odd | 4 | inner | ||
880.2.cm.b.657.2 | 48 | 11.8 | odd | 10 | inner | ||
880.2.cm.b.833.5 | 48 | 55.8 | even | 20 | inner |