Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(41,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.p (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{14} + 15x^{12} - 59x^{10} + 104x^{8} - 59x^{6} + 15x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 161.2 | ||
Root | \(0.280526 - 0.386111i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 165.161 |
Dual form | 165.2.p.a.41.2 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.453901 | − | 0.329779i | −0.320957 | − | 0.233189i | 0.415627 | − | 0.909535i | \(-0.363562\pi\) |
−0.736584 | + | 0.676347i | \(0.763562\pi\) | |||||||
\(3\) | 1.08779 | − | 1.34786i | 0.628033 | − | 0.778187i | ||||
\(4\) | −0.520762 | − | 1.60274i | −0.260381 | − | 0.801370i | ||||
\(5\) | −0.587785 | − | 0.809017i | −0.262866 | − | 0.361803i | ||||
\(6\) | −0.938242 | + | 0.253067i | −0.383036 | + | 0.103314i | ||||
\(7\) | −0.254663 | + | 0.0827449i | −0.0962534 | + | 0.0312746i | −0.356748 | − | 0.934201i | \(-0.616114\pi\) |
0.260494 | + | 0.965475i | \(0.416114\pi\) | |||||||
\(8\) | −0.638924 | + | 1.96641i | −0.225894 | + | 0.695230i | ||||
\(9\) | −0.633446 | − | 2.93236i | −0.211149 | − | 0.977454i | ||||
\(10\) | 0.561053i | 0.177420i | ||||||||
\(11\) | −1.79264 | + | 2.79042i | −0.540500 | + | 0.841344i | ||||
\(12\) | −2.72674 | − | 1.04152i | −0.787143 | − | 0.300662i | ||||
\(13\) | 1.44781 | − | 1.99274i | 0.401551 | − | 0.552687i | −0.559581 | − | 0.828775i | \(-0.689038\pi\) |
0.961132 | + | 0.276088i | \(0.0890381\pi\) | |||||||
\(14\) | 0.142879 | + | 0.0464242i | 0.0381861 | + | 0.0124074i | ||||
\(15\) | −1.72982 | − | 0.0877853i | −0.446639 | − | 0.0226661i | ||||
\(16\) | −1.78826 | + | 1.29924i | −0.447064 | + | 0.324811i | ||||
\(17\) | 3.05095 | − | 2.21665i | 0.739964 | − | 0.537616i | −0.152736 | − | 0.988267i | \(-0.548808\pi\) |
0.892700 | + | 0.450652i | \(0.148808\pi\) | |||||||
\(18\) | −0.679508 | + | 1.53990i | −0.160162 | + | 0.362958i | ||||
\(19\) | 6.82402 | + | 2.21726i | 1.56554 | + | 0.508674i | 0.958280 | − | 0.285832i | \(-0.0922699\pi\) |
0.607257 | + | 0.794506i | \(0.292270\pi\) | |||||||
\(20\) | −0.990547 | + | 1.36337i | −0.221493 | + | 0.304859i | ||||
\(21\) | −0.165490 | + | 0.433258i | −0.0361128 | + | 0.0945446i | ||||
\(22\) | 1.73390 | − | 0.675403i | 0.369669 | − | 0.143996i | ||||
\(23\) | − | 6.58084i | − | 1.37220i | −0.727507 | − | 0.686101i | \(-0.759321\pi\) | ||
0.727507 | − | 0.686101i | \(-0.240679\pi\) | |||||||
\(24\) | 1.95543 | + | 3.00021i | 0.399150 | + | 0.612415i | ||||
\(25\) | −0.309017 | + | 0.951057i | −0.0618034 | + | 0.190211i | ||||
\(26\) | −1.31433 | + | 0.427051i | −0.257761 | + | 0.0837516i | ||||
\(27\) | −4.64146 | − | 2.33598i | −0.893250 | − | 0.449560i | ||||
\(28\) | 0.265237 | + | 0.365067i | 0.0501251 | + | 0.0689912i | ||||
\(29\) | −0.678415 | − | 2.08795i | −0.125979 | − | 0.387722i | 0.868100 | − | 0.496390i | \(-0.165341\pi\) |
−0.994078 | + | 0.108668i | \(0.965341\pi\) | |||||||
\(30\) | 0.756220 | + | 0.610305i | 0.138066 | + | 0.111426i | ||||
\(31\) | 5.54859 | + | 4.03129i | 0.996556 | + | 0.724041i | 0.961347 | − | 0.275339i | \(-0.0887902\pi\) |
0.0352093 | + | 0.999380i | \(0.488790\pi\) | |||||||
\(32\) | 5.37536 | 0.950238 | ||||||||
\(33\) | 1.81109 | + | 5.45160i | 0.315271 | + | 0.949002i | ||||
\(34\) | −2.11583 | −0.362862 | ||||||||
\(35\) | 0.216629 | + | 0.157390i | 0.0366170 | + | 0.0266038i | ||||
\(36\) | −4.36994 | + | 2.54231i | −0.728323 | + | 0.423718i | ||||
\(37\) | 0.374036 | + | 1.15116i | 0.0614911 | + | 0.189250i | 0.977083 | − | 0.212859i | \(-0.0682774\pi\) |
−0.915592 | + | 0.402109i | \(0.868277\pi\) | |||||||
\(38\) | −2.36623 | − | 3.25683i | −0.383852 | − | 0.528328i | ||||
\(39\) | −1.11103 | − | 4.11912i | −0.177907 | − | 0.659588i | ||||
\(40\) | 1.96641 | − | 0.638924i | 0.310916 | − | 0.101023i | ||||
\(41\) | −3.83351 | + | 11.7983i | −0.598693 | + | 1.84259i | −0.0632828 | + | 0.997996i | \(0.520157\pi\) |
−0.535410 | + | 0.844592i | \(0.679843\pi\) | |||||||
\(42\) | 0.217995 | − | 0.142081i | 0.0336374 | − | 0.0219236i | ||||
\(43\) | − | 0.181260i | − | 0.0276419i | −0.999904 | − | 0.0138209i | \(-0.995601\pi\) | ||
0.999904 | − | 0.0138209i | \(-0.00439948\pi\) | |||||||
\(44\) | 5.40586 | + | 1.41998i | 0.814963 | + | 0.214070i | ||||
\(45\) | −2.00000 | + | 2.23607i | −0.298142 | + | 0.333333i | ||||
\(46\) | −2.17022 | + | 2.98705i | −0.319982 | + | 0.440417i | ||||
\(47\) | 9.04803 | + | 2.93988i | 1.31979 | + | 0.428826i | 0.882423 | − | 0.470457i | \(-0.155911\pi\) |
0.437368 | + | 0.899283i | \(0.355911\pi\) | |||||||
\(48\) | −0.194041 | + | 3.82361i | −0.0280074 | + | 0.551891i | ||||
\(49\) | −5.60511 | + | 4.07235i | −0.800730 | + | 0.581765i | ||||
\(50\) | 0.453901 | − | 0.329779i | 0.0641913 | − | 0.0466377i | ||||
\(51\) | 0.331054 | − | 6.52349i | 0.0463569 | − | 0.913471i | ||||
\(52\) | −3.94781 | − | 1.28272i | −0.547463 | − | 0.177882i | ||||
\(53\) | 1.15116 | − | 1.58444i | 0.158125 | − | 0.217640i | −0.722603 | − | 0.691264i | \(-0.757054\pi\) |
0.880727 | + | 0.473624i | \(0.157054\pi\) | |||||||
\(54\) | 1.33641 | + | 2.59096i | 0.181862 | + | 0.352585i | ||||
\(55\) | 3.31118 | − | 0.189896i | 0.446480 | − | 0.0256056i | ||||
\(56\) | − | 0.553638i | − | 0.0739830i | ||||||
\(57\) | 10.4116 | − | 6.78591i | 1.37905 | − | 0.898816i | ||||
\(58\) | −0.380627 | + | 1.17145i | −0.0499787 | + | 0.153819i | ||||
\(59\) | −5.22194 | + | 1.69671i | −0.679839 | + | 0.220893i | −0.628525 | − | 0.777789i | \(-0.716341\pi\) |
−0.0513141 | + | 0.998683i | \(0.516341\pi\) | |||||||
\(60\) | 0.760129 | + | 2.81817i | 0.0981323 | + | 0.363825i | ||||
\(61\) | −0.499172 | − | 0.687052i | −0.0639125 | − | 0.0879680i | 0.775864 | − | 0.630900i | \(-0.217314\pi\) |
−0.839777 | + | 0.542932i | \(0.817314\pi\) | |||||||
\(62\) | −1.18908 | − | 3.65961i | −0.151013 | − | 0.464771i | ||||
\(63\) | 0.403953 | + | 0.694348i | 0.0508933 | + | 0.0874797i | ||||
\(64\) | 1.13663 | + | 0.825809i | 0.142079 | + | 0.103226i | ||||
\(65\) | −2.46317 | −0.305518 | ||||||||
\(66\) | 0.975764 | − | 3.07175i | 0.120108 | − | 0.378106i | ||||
\(67\) | −0.419155 | −0.0512080 | −0.0256040 | − | 0.999672i | \(-0.508151\pi\) | ||||
−0.0256040 | + | 0.999672i | \(0.508151\pi\) | |||||||
\(68\) | −5.14152 | − | 3.73554i | −0.623501 | − | 0.453000i | ||||
\(69\) | −8.87005 | − | 7.15855i | −1.06783 | − | 0.861788i | ||||
\(70\) | −0.0464242 | − | 0.142879i | −0.00554876 | − | 0.0170773i | ||||
\(71\) | −1.47652 | − | 2.03225i | −0.175231 | − | 0.241184i | 0.712364 | − | 0.701811i | \(-0.247625\pi\) |
−0.887594 | + | 0.460627i | \(0.847625\pi\) | |||||||
\(72\) | 6.17094 | + | 0.627944i | 0.727252 | + | 0.0740039i | ||||
\(73\) | −7.26034 | + | 2.35903i | −0.849758 | + | 0.276103i | −0.701345 | − | 0.712822i | \(-0.747417\pi\) |
−0.148413 | + | 0.988925i | \(0.547417\pi\) | |||||||
\(74\) | 0.209854 | − | 0.645864i | 0.0243950 | − | 0.0750801i | ||||
\(75\) | 0.945746 | + | 1.45106i | 0.109205 | + | 0.167554i | ||||
\(76\) | − | 12.0918i | − | 1.38702i | ||||||
\(77\) | 0.225624 | − | 0.858947i | 0.0257122 | − | 0.0978862i | ||||
\(78\) | −0.854102 | + | 2.23607i | −0.0967080 | + | 0.253185i | ||||
\(79\) | 3.27183 | − | 4.50328i | 0.368109 | − | 0.506659i | −0.584276 | − | 0.811555i | \(-0.698622\pi\) |
0.952386 | + | 0.304896i | \(0.0986216\pi\) | |||||||
\(80\) | 2.10222 | + | 0.683053i | 0.235035 | + | 0.0763676i | ||||
\(81\) | −8.19749 | + | 3.71499i | −0.910832 | + | 0.412777i | ||||
\(82\) | 5.63087 | − | 4.09106i | 0.621825 | − | 0.451782i | ||||
\(83\) | 2.09613 | − | 1.52293i | 0.230080 | − | 0.167163i | −0.466772 | − | 0.884378i | \(-0.654583\pi\) |
0.696853 | + | 0.717214i | \(0.254583\pi\) | |||||||
\(84\) | 0.780580 | + | 0.0396129i | 0.0851683 | + | 0.00432212i | ||||
\(85\) | −3.58661 | − | 1.16536i | −0.389022 | − | 0.126401i | ||||
\(86\) | −0.0597756 | + | 0.0822741i | −0.00644577 | + | 0.00887184i | ||||
\(87\) | −3.55223 | − | 1.35683i | −0.380839 | − | 0.145467i | ||||
\(88\) | −4.34175 | − | 5.30792i | −0.462832 | − | 0.565826i | ||||
\(89\) | − | 7.27491i | − | 0.771139i | −0.922679 | − | 0.385570i | \(-0.874005\pi\) | ||
0.922679 | − | 0.385570i | \(-0.125995\pi\) | |||||||
\(90\) | 1.64521 | − | 0.355397i | 0.173420 | − | 0.0374621i | ||||
\(91\) | −0.203814 | + | 0.627276i | −0.0213655 | + | 0.0657564i | ||||
\(92\) | −10.5474 | + | 3.42705i | −1.09964 | + | 0.357295i | ||||
\(93\) | 11.4693 | − | 3.09354i | 1.18931 | − | 0.320785i | ||||
\(94\) | −3.13740 | − | 4.31826i | −0.323598 | − | 0.445395i | ||||
\(95\) | −2.21726 | − | 6.82402i | −0.227486 | − | 0.700129i | ||||
\(96\) | 5.84724 | − | 7.24523i | 0.596781 | − | 0.739463i | ||||
\(97\) | −15.1281 | − | 10.9912i | −1.53603 | − | 1.11599i | −0.952767 | − | 0.303701i | \(-0.901778\pi\) |
−0.583258 | − | 0.812287i | \(-0.698222\pi\) | |||||||
\(98\) | 3.88714 | 0.392661 | ||||||||
\(99\) | 9.31807 | + | 3.48907i | 0.936501 | + | 0.350665i | ||||
\(100\) | 1.68522 | 0.168522 | ||||||||
\(101\) | 8.53811 | + | 6.20330i | 0.849574 | + | 0.617252i | 0.925029 | − | 0.379898i | \(-0.124041\pi\) |
−0.0754545 | + | 0.997149i | \(0.524041\pi\) | |||||||
\(102\) | −2.30157 | + | 2.85184i | −0.227890 | + | 0.282375i | ||||
\(103\) | 0.626792 | + | 1.92907i | 0.0617596 | + | 0.190077i | 0.977176 | − | 0.212432i | \(-0.0681384\pi\) |
−0.915416 | + | 0.402509i | \(0.868138\pi\) | |||||||
\(104\) | 2.99350 | + | 4.12020i | 0.293537 | + | 0.404019i | ||||
\(105\) | 0.447785 | − | 0.120779i | 0.0436994 | − | 0.0117868i | ||||
\(106\) | −1.04503 | + | 0.339551i | −0.101502 | + | 0.0329801i | ||||
\(107\) | −4.18861 | + | 12.8912i | −0.404928 | + | 1.24624i | 0.516028 | + | 0.856572i | \(0.327410\pi\) |
−0.920956 | + | 0.389668i | \(0.872590\pi\) | |||||||
\(108\) | −1.32688 | + | 8.65555i | −0.127679 | + | 0.832880i | ||||
\(109\) | 7.75667i | 0.742954i | 0.928442 | + | 0.371477i | \(0.121149\pi\) | ||||
−0.928442 | + | 0.371477i | \(0.878851\pi\) | |||||||
\(110\) | −1.56557 | − | 1.00576i | −0.149272 | − | 0.0958958i | ||||
\(111\) | 1.95848 | + | 0.748072i | 0.185890 | + | 0.0710038i | ||||
\(112\) | 0.347896 | − | 0.478838i | 0.0328731 | − | 0.0452459i | ||||
\(113\) | −2.78927 | − | 0.906289i | −0.262393 | − | 0.0852565i | 0.174866 | − | 0.984592i | \(-0.444051\pi\) |
−0.437259 | + | 0.899336i | \(0.644051\pi\) | |||||||
\(114\) | −6.96369 | − | 0.353394i | −0.652209 | − | 0.0330984i | ||||
\(115\) | −5.32402 | + | 3.86812i | −0.496467 | + | 0.360704i | ||||
\(116\) | −2.99314 | + | 2.17465i | −0.277906 | + | 0.201911i | ||||
\(117\) | −6.76056 | − | 2.98321i | −0.625014 | − | 0.275798i | ||||
\(118\) | 2.92979 | + | 0.951945i | 0.269709 | + | 0.0876336i | ||||
\(119\) | −0.593547 | + | 0.816947i | −0.0544104 | + | 0.0748894i | ||||
\(120\) | 1.27785 | − | 3.34545i | 0.116651 | − | 0.305397i | ||||
\(121\) | −4.57291 | − | 10.0044i | −0.415720 | − | 0.909493i | ||||
\(122\) | 0.476470i | 0.0431376i | ||||||||
\(123\) | 11.7324 | + | 18.0011i | 1.05788 | + | 1.62310i | ||||
\(124\) | 3.57161 | − | 10.9923i | 0.320740 | − | 0.987136i | ||||
\(125\) | 0.951057 | − | 0.309017i | 0.0850651 | − | 0.0276393i | ||||
\(126\) | 0.0456264 | − | 0.448381i | 0.00406472 | − | 0.0399449i | ||||
\(127\) | 11.9844 | + | 16.4951i | 1.06344 | + | 1.46370i | 0.876542 | + | 0.481326i | \(0.159845\pi\) |
0.186902 | + | 0.982379i | \(0.440155\pi\) | |||||||
\(128\) | −3.56574 | − | 10.9742i | −0.315170 | − | 0.969993i | ||||
\(129\) | −0.244313 | − | 0.197172i | −0.0215105 | − | 0.0173600i | ||||
\(130\) | 1.11803 | + | 0.812299i | 0.0980581 | + | 0.0712434i | ||||
\(131\) | 14.5776 | 1.27365 | 0.636825 | − | 0.771009i | \(-0.280247\pi\) | ||||
0.636825 | + | 0.771009i | \(0.280247\pi\) | |||||||
\(132\) | 7.79435 | − | 5.74169i | 0.678411 | − | 0.499750i | ||||
\(133\) | −1.92129 | −0.166597 | ||||||||
\(134\) | 0.190255 | + | 0.138228i | 0.0164355 | + | 0.0119411i | ||||
\(135\) | 0.838333 | + | 5.12808i | 0.0721522 | + | 0.441355i | ||||
\(136\) | 2.40950 | + | 7.41568i | 0.206613 | + | 0.635889i | ||||
\(137\) | −2.15358 | − | 2.96415i | −0.183993 | − | 0.253244i | 0.707050 | − | 0.707163i | \(-0.250026\pi\) |
−0.891043 | + | 0.453919i | \(0.850026\pi\) | |||||||
\(138\) | 1.66539 | + | 6.17442i | 0.141768 | + | 0.525602i | ||||
\(139\) | −10.6100 | + | 3.44740i | −0.899930 | + | 0.292405i | −0.722208 | − | 0.691676i | \(-0.756873\pi\) |
−0.177722 | + | 0.984081i | \(0.556873\pi\) | |||||||
\(140\) | 0.139443 | − | 0.429162i | 0.0117851 | − | 0.0362708i | ||||
\(141\) | 13.8049 | − | 8.99750i | 1.16258 | − | 0.757726i | ||||
\(142\) | 1.40937i | 0.118271i | ||||||||
\(143\) | 2.96519 | + | 7.61227i | 0.247962 | + | 0.636570i | ||||
\(144\) | 4.94262 | + | 4.42081i | 0.411885 | + | 0.368401i | ||||
\(145\) | −1.29042 | + | 1.77611i | −0.107164 | + | 0.147498i | ||||
\(146\) | 4.07343 | + | 1.32354i | 0.337120 | + | 0.109537i | ||||
\(147\) | −0.608203 | + | 11.9847i | −0.0501637 | + | 0.988485i | ||||
\(148\) | 1.65023 | − | 1.19896i | 0.135648 | − | 0.0985542i | ||||
\(149\) | −9.27921 | + | 6.74174i | −0.760183 | + | 0.552305i | −0.898966 | − | 0.438018i | \(-0.855681\pi\) |
0.138784 | + | 0.990323i | \(0.455681\pi\) | |||||||
\(150\) | 0.0492522 | − | 0.970523i | 0.00402142 | − | 0.0792429i | ||||
\(151\) | −8.20244 | − | 2.66513i | −0.667505 | − | 0.216886i | −0.0443883 | − | 0.999014i | \(-0.514134\pi\) |
−0.623117 | + | 0.782129i | \(0.714134\pi\) | |||||||
\(152\) | −8.72006 | + | 12.0021i | −0.707290 | + | 0.973502i | ||||
\(153\) | −8.43262 | − | 7.54237i | −0.681737 | − | 0.609764i | ||||
\(154\) | −0.385673 | + | 0.315471i | −0.0310785 | + | 0.0254214i | ||||
\(155\) | − | 6.85844i | − | 0.550883i | ||||||
\(156\) | −6.02330 | + | 3.92577i | −0.482250 | + | 0.314313i | ||||
\(157\) | −1.95358 | + | 6.01249i | −0.155912 | + | 0.479849i | −0.998252 | − | 0.0590979i | \(-0.981178\pi\) |
0.842340 | + | 0.538947i | \(0.181178\pi\) | |||||||
\(158\) | −2.97017 | + | 0.965068i | −0.236294 | + | 0.0767767i | ||||
\(159\) | −0.883384 | − | 3.27514i | −0.0700569 | − | 0.259735i | ||||
\(160\) | −3.15956 | − | 4.34876i | −0.249785 | − | 0.343799i | ||||
\(161\) | 0.544531 | + | 1.67589i | 0.0429151 | + | 0.132079i | ||||
\(162\) | 4.94597 | + | 1.01712i | 0.388592 | + | 0.0799124i | ||||
\(163\) | 6.76250 | + | 4.91325i | 0.529680 | + | 0.384835i | 0.820238 | − | 0.572022i | \(-0.193841\pi\) |
−0.290558 | + | 0.956857i | \(0.593841\pi\) | |||||||
\(164\) | 20.9060 | 1.63248 | ||||||||
\(165\) | 3.34590 | − | 4.66957i | 0.260478 | − | 0.363526i | ||||
\(166\) | −1.45367 | −0.112826 | ||||||||
\(167\) | −16.8415 | − | 12.2361i | −1.30323 | − | 0.946855i | −0.303253 | − | 0.952910i | \(-0.598073\pi\) |
−0.999982 | + | 0.00605473i | \(0.998073\pi\) | |||||||
\(168\) | −0.746226 | − | 0.602239i | −0.0575726 | − | 0.0464638i | ||||
\(169\) | 2.14236 | + | 6.59350i | 0.164797 | + | 0.507192i | ||||
\(170\) | 1.24366 | + | 1.71174i | 0.0953840 | + | 0.131285i | ||||
\(171\) | 2.17915 | − | 21.4150i | 0.166644 | − | 1.63765i | ||||
\(172\) | −0.290512 | + | 0.0943932i | −0.0221514 | + | 0.00719741i | ||||
\(173\) | 1.24954 | − | 3.84569i | 0.0950009 | − | 0.292383i | −0.892253 | − | 0.451536i | \(-0.850876\pi\) |
0.987254 | + | 0.159153i | \(0.0508763\pi\) | |||||||
\(174\) | 1.16491 | + | 1.78732i | 0.0883114 | + | 0.135496i | ||||
\(175\) | − | 0.267768i | − | 0.0202414i | ||||||
\(176\) | −0.419748 | − | 7.31906i | −0.0316397 | − | 0.551695i | ||||
\(177\) | −3.39342 | + | 8.88410i | −0.255065 | + | 0.667770i | ||||
\(178\) | −2.39911 | + | 3.30209i | −0.179821 | + | 0.247502i | ||||
\(179\) | 1.67348 | + | 0.543746i | 0.125082 | + | 0.0406415i | 0.370889 | − | 0.928677i | \(-0.379053\pi\) |
−0.245807 | + | 0.969319i | \(0.579053\pi\) | |||||||
\(180\) | 4.62536 | + | 2.04102i | 0.344754 | + | 0.152129i | ||||
\(181\) | −3.06801 | + | 2.22904i | −0.228044 | + | 0.165683i | −0.695940 | − | 0.718100i | \(-0.745012\pi\) |
0.467896 | + | 0.883783i | \(0.345012\pi\) | |||||||
\(182\) | 0.299374 | − | 0.217508i | 0.0221911 | − | 0.0161227i | ||||
\(183\) | −1.46904 | − | 0.0745510i | −0.108595 | − | 0.00551097i | ||||
\(184\) | 12.9406 | + | 4.20466i | 0.953995 | + | 0.309972i | ||||
\(185\) | 0.711458 | − | 0.979238i | 0.0523075 | − | 0.0719950i | ||||
\(186\) | −6.22611 | − | 2.37816i | −0.456520 | − | 0.174375i | ||||
\(187\) | 0.716134 | + | 12.4871i | 0.0523689 | + | 0.913146i | ||||
\(188\) | − | 16.0326i | − | 1.16930i | ||||||
\(189\) | 1.37530 | + | 0.210830i | 0.100038 | + | 0.0153356i | ||||
\(190\) | −1.24400 | + | 3.82863i | −0.0902491 | + | 0.277758i | ||||
\(191\) | 13.1500 | − | 4.27269i | 0.951500 | − | 0.309161i | 0.208175 | − | 0.978092i | \(-0.433248\pi\) |
0.743325 | + | 0.668931i | \(0.233248\pi\) | |||||||
\(192\) | 2.34948 | − | 0.633712i | 0.169559 | − | 0.0457342i | ||||
\(193\) | −4.42871 | − | 6.09559i | −0.318785 | − | 0.438770i | 0.619311 | − | 0.785146i | \(-0.287412\pi\) |
−0.938096 | + | 0.346376i | \(0.887412\pi\) | |||||||
\(194\) | 3.24200 | + | 9.97784i | 0.232762 | + | 0.716367i | ||||
\(195\) | −2.67940 | + | 3.32000i | −0.191875 | + | 0.237750i | ||||
\(196\) | 9.44585 | + | 6.86281i | 0.674703 | + | 0.490201i | ||||
\(197\) | 1.44184 | 0.102727 | 0.0513633 | − | 0.998680i | \(-0.483643\pi\) | ||||
0.0513633 | + | 0.998680i | \(0.483643\pi\) | |||||||
\(198\) | −3.07886 | − | 4.65659i | −0.218805 | − | 0.330930i | ||||
\(199\) | 3.24040 | 0.229706 | 0.114853 | − | 0.993382i | \(-0.463360\pi\) | ||||
0.114853 | + | 0.993382i | \(0.463360\pi\) | |||||||
\(200\) | −1.67273 | − | 1.21531i | −0.118280 | − | 0.0859351i | ||||
\(201\) | −0.455951 | + | 0.564962i | −0.0321603 | + | 0.0398493i | ||||
\(202\) | −1.82974 | − | 5.63137i | −0.128740 | − | 0.396222i | ||||
\(203\) | 0.345534 | + | 0.475587i | 0.0242517 | + | 0.0333796i | ||||
\(204\) | −10.6278 | + | 2.86659i | −0.744098 | + | 0.200701i | ||||
\(205\) | 11.7983 | − | 3.83351i | 0.824030 | − | 0.267744i | ||||
\(206\) | 0.351663 | − | 1.08231i | 0.0245015 | − | 0.0754080i | ||||
\(207\) | −19.2974 | + | 4.16861i | −1.34126 | + | 0.289739i | ||||
\(208\) | 5.44459i | 0.377515i | ||||||||
\(209\) | −18.4201 | + | 15.0672i | −1.27414 | + | 1.04222i | ||||
\(210\) | −0.243080 | − | 0.0928485i | −0.0167741 | − | 0.00640715i | ||||
\(211\) | −9.85407 | + | 13.5630i | −0.678382 | + | 0.933713i | −0.999913 | − | 0.0131863i | \(-0.995803\pi\) |
0.321531 | + | 0.946899i | \(0.395803\pi\) | |||||||
\(212\) | −3.13893 | − | 1.01990i | −0.215582 | − | 0.0700470i | ||||
\(213\) | −4.34533 | − | 0.220517i | −0.297737 | − | 0.0151096i | ||||
\(214\) | 6.15245 | − | 4.47002i | 0.420573 | − | 0.305564i | ||||
\(215\) | −0.146642 | + | 0.106542i | −0.0100009 | + | 0.00726610i | ||||
\(216\) | 7.55904 | − | 7.63449i | 0.514327 | − | 0.519461i | ||||
\(217\) | −1.74659 | − | 0.567500i | −0.118566 | − | 0.0385244i | ||||
\(218\) | 2.55798 | − | 3.52076i | 0.173248 | − | 0.238456i | ||||
\(219\) | −4.71805 | + | 12.3520i | −0.318816 | + | 0.834672i | ||||
\(220\) | −2.02869 | − | 5.20807i | −0.136774 | − | 0.351128i | ||||
\(221\) | − | 9.28905i | − | 0.624849i | ||||||
\(222\) | −0.642257 | − | 0.985414i | −0.0431055 | − | 0.0661367i | ||||
\(223\) | 7.03190 | − | 21.6420i | 0.470891 | − | 1.44925i | −0.380529 | − | 0.924769i | \(-0.624258\pi\) |
0.851420 | − | 0.524485i | \(-0.175742\pi\) | |||||||
\(224\) | −1.36890 | + | 0.444783i | −0.0914637 | + | 0.0297183i | ||||
\(225\) | 2.98459 | + | 0.303706i | 0.198972 | + | 0.0202471i | ||||
\(226\) | 0.967179 | + | 1.33121i | 0.0643358 | + | 0.0885506i | ||||
\(227\) | 7.36480 | + | 22.6665i | 0.488819 | + | 1.50443i | 0.826372 | + | 0.563124i | \(0.190401\pi\) |
−0.337553 | + | 0.941307i | \(0.609599\pi\) | |||||||
\(228\) | −16.2980 | − | 13.1533i | −1.07936 | − | 0.871096i | ||||
\(229\) | −13.4107 | − | 9.74343i | −0.886203 | − | 0.643864i | 0.0486825 | − | 0.998814i | \(-0.484498\pi\) |
−0.934885 | + | 0.354950i | \(0.884498\pi\) | |||||||
\(230\) | 3.69220 | 0.243457 | ||||||||
\(231\) | −0.912309 | − | 1.23846i | −0.0600256 | − | 0.0814847i | ||||
\(232\) | 4.53921 | 0.298014 | ||||||||
\(233\) | −1.98178 | − | 1.43985i | −0.129831 | − | 0.0943276i | 0.520975 | − | 0.853572i | \(-0.325569\pi\) |
−0.650805 | + | 0.759245i | \(0.725569\pi\) | |||||||
\(234\) | 2.08482 | + | 3.58357i | 0.136289 | + | 0.234265i | ||||
\(235\) | −2.93988 | − | 9.04803i | −0.191777 | − | 0.590228i | ||||
\(236\) | 5.43877 | + | 7.48583i | 0.354034 | + | 0.487286i | ||||
\(237\) | −2.51075 | − | 9.30857i | −0.163090 | − | 0.604657i | ||||
\(238\) | 0.538823 | − | 0.175074i | 0.0349267 | − | 0.0113484i | ||||
\(239\) | 1.51541 | − | 4.66395i | 0.0980236 | − | 0.301686i | −0.890006 | − | 0.455948i | \(-0.849300\pi\) |
0.988030 | + | 0.154263i | \(0.0493002\pi\) | |||||||
\(240\) | 3.20742 | − | 2.09048i | 0.207038 | − | 0.134940i | ||||
\(241\) | − | 16.9902i | − | 1.09443i | −0.836991 | − | 0.547216i | \(-0.815688\pi\) | ||
0.836991 | − | 0.547216i | \(-0.184312\pi\) | |||||||
\(242\) | −1.22359 | + | 6.04907i | −0.0786555 | + | 0.388849i | ||||
\(243\) | −3.90983 | + | 15.0902i | −0.250816 | + | 0.968035i | ||||
\(244\) | −0.841215 | + | 1.15783i | −0.0538533 | + | 0.0741227i | ||||
\(245\) | 6.58921 | + | 2.14096i | 0.420969 | + | 0.136781i | ||||
\(246\) | 0.610997 | − | 12.0398i | 0.0389557 | − | 0.767630i | ||||
\(247\) | 14.2983 | − | 10.3883i | 0.909780 | − | 0.660994i | ||||
\(248\) | −11.4723 | + | 8.33510i | −0.728491 | + | 0.529279i | ||||
\(249\) | 0.227448 | − | 4.48191i | 0.0144139 | − | 0.284029i | ||||
\(250\) | −0.533593 | − | 0.173375i | −0.0337474 | − | 0.0109652i | ||||
\(251\) | 9.10254 | − | 12.5286i | 0.574547 | − | 0.790796i | −0.418537 | − | 0.908200i | \(-0.637457\pi\) |
0.993084 | + | 0.117403i | \(0.0374571\pi\) | |||||||
\(252\) | 0.902496 | − | 1.00902i | 0.0568519 | − | 0.0635624i | ||||
\(253\) | 18.3633 | + | 11.7971i | 1.15449 | + | 0.741675i | ||||
\(254\) | − | 11.4393i | − | 0.717769i | ||||||
\(255\) | −5.47220 | + | 3.56658i | −0.342682 | + | 0.223348i | ||||
\(256\) | −1.13226 | + | 3.48474i | −0.0707663 | + | 0.217796i | ||||
\(257\) | 21.9221 | − | 7.12294i | 1.36747 | − | 0.444316i | 0.468937 | − | 0.883232i | \(-0.344637\pi\) |
0.898529 | + | 0.438915i | \(0.144637\pi\) | |||||||
\(258\) | 0.0458708 | + | 0.170066i | 0.00285579 | + | 0.0105878i | ||||
\(259\) | −0.190506 | − | 0.262209i | −0.0118375 | − | 0.0162929i | ||||
\(260\) | 1.28272 | + | 3.94781i | 0.0795510 | + | 0.244833i | ||||
\(261\) | −5.69288 | + | 3.31196i | −0.352380 | + | 0.205005i | ||||
\(262\) | −6.61678 | − | 4.80738i | −0.408786 | − | 0.297001i | ||||
\(263\) | −21.7115 | −1.33879 | −0.669394 | − | 0.742908i | \(-0.733446\pi\) | ||||
−0.669394 | + | 0.742908i | \(0.733446\pi\) | |||||||
\(264\) | −11.8772 | + | 0.0781852i | −0.730992 | + | 0.00481197i | ||||
\(265\) | −1.95848 | −0.120308 | ||||||||
\(266\) | 0.872075 | + | 0.633599i | 0.0534703 | + | 0.0388485i | ||||
\(267\) | −9.80555 | − | 7.91354i | −0.600090 | − | 0.484301i | ||||
\(268\) | 0.218280 | + | 0.671796i | 0.0133336 | + | 0.0410365i | ||||
\(269\) | −14.5298 | − | 19.9985i | −0.885897 | − | 1.21933i | −0.974753 | − | 0.223288i | \(-0.928321\pi\) |
0.0888558 | − | 0.996044i | \(-0.471679\pi\) | |||||||
\(270\) | 1.31061 | − | 2.60411i | 0.0797612 | − | 0.158481i | ||||
\(271\) | 24.2430 | − | 7.87704i | 1.47266 | − | 0.478496i | 0.540749 | − | 0.841184i | \(-0.318141\pi\) |
0.931911 | + | 0.362687i | \(0.118141\pi\) | |||||||
\(272\) | −2.57592 | + | 7.92786i | −0.156188 | + | 0.480697i | ||||
\(273\) | 0.623773 | + | 0.957055i | 0.0377525 | + | 0.0579236i | ||||
\(274\) | 2.05564i | 0.124186i | ||||||||
\(275\) | −2.09989 | − | 2.56719i | −0.126628 | − | 0.154807i | ||||
\(276\) | −6.85410 | + | 17.9443i | −0.412568 | + | 1.08012i | ||||
\(277\) | 16.2136 | − | 22.3161i | 0.974182 | − | 1.34085i | 0.0342760 | − | 0.999412i | \(-0.489087\pi\) |
0.939906 | − | 0.341434i | \(-0.110913\pi\) | |||||||
\(278\) | 5.95278 | + | 1.93417i | 0.357024 | + | 0.116004i | ||||
\(279\) | 8.30646 | − | 18.8241i | 0.497295 | − | 1.12697i | ||||
\(280\) | −0.447903 | + | 0.325420i | −0.0267673 | + | 0.0194476i | ||||
\(281\) | −15.6805 | + | 11.3925i | −0.935419 | + | 0.679622i | −0.947314 | − | 0.320307i | \(-0.896214\pi\) |
0.0118943 | + | 0.999929i | \(0.496214\pi\) | |||||||
\(282\) | −9.23322 | − | 0.468568i | −0.549831 | − | 0.0279028i | ||||
\(283\) | 15.0760 | + | 4.89849i | 0.896175 | + | 0.291185i | 0.720657 | − | 0.693291i | \(-0.243840\pi\) |
0.175518 | + | 0.984476i | \(0.443840\pi\) | |||||||
\(284\) | −2.48826 | + | 3.42479i | −0.147651 | + | 0.203224i | ||||
\(285\) | −11.6097 | − | 4.43451i | −0.687700 | − | 0.262678i | ||||
\(286\) | 1.16446 | − | 4.43308i | 0.0688559 | − | 0.262133i | ||||
\(287\) | − | 3.32179i | − | 0.196079i | ||||||
\(288\) | −3.40500 | − | 15.7625i | −0.200642 | − | 0.928814i | ||||
\(289\) | −0.858505 | + | 2.64221i | −0.0505003 | + | 0.155424i | ||||
\(290\) | 1.17145 | − | 0.380627i | 0.0687898 | − | 0.0223512i | ||||
\(291\) | −31.2707 | + | 8.43447i | −1.83312 | + | 0.494437i | ||||
\(292\) | 7.56181 | + | 10.4079i | 0.442521 | + | 0.609078i | ||||
\(293\) | 6.46030 | + | 19.8828i | 0.377415 | + | 1.16156i | 0.941835 | + | 0.336076i | \(0.109100\pi\) |
−0.564420 | + | 0.825488i | \(0.690900\pi\) | |||||||
\(294\) | 4.22838 | − | 5.23932i | 0.246604 | − | 0.305563i | ||||
\(295\) | 4.44205 | + | 3.22734i | 0.258626 | + | 0.187903i | ||||
\(296\) | −2.50264 | −0.145463 | ||||||||
\(297\) | 14.8388 | − | 8.76408i | 0.861036 | − | 0.508543i | ||||
\(298\) | 6.43513 | 0.372777 | ||||||||
\(299\) | −13.1139 | − | 9.52783i | −0.758398 | − | 0.551009i | ||||
\(300\) | 1.83316 | − | 2.27144i | 0.105837 | − | 0.131142i | ||||
\(301\) | 0.0149983 | + | 0.0461601i | 0.000864489 | + | 0.00266062i | ||||
\(302\) | 2.84419 | + | 3.91470i | 0.163665 | + | 0.225265i | ||||
\(303\) | 17.6488 | − | 4.76031i | 1.01390 | − | 0.273473i | ||||
\(304\) | −15.0838 | + | 4.90104i | −0.865118 | + | 0.281094i | ||||
\(305\) | −0.262430 | + | 0.807678i | −0.0150267 | + | 0.0462475i | ||||
\(306\) | 1.34027 | + | 6.20439i | 0.0766180 | + | 0.354681i | ||||
\(307\) | 22.3320i | 1.27456i | 0.770634 | + | 0.637278i | \(0.219940\pi\) | ||||
−0.770634 | + | 0.637278i | \(0.780060\pi\) | |||||||
\(308\) | −1.49417 | + | 0.0856904i | −0.0851380 | + | 0.00488266i | ||||
\(309\) | 3.28193 | + | 1.25358i | 0.186702 | + | 0.0713139i | ||||
\(310\) | −2.26177 | + | 3.11305i | −0.128460 | + | 0.176810i | ||||
\(311\) | −1.22331 | − | 0.397476i | −0.0693673 | − | 0.0225388i | 0.274128 | − | 0.961693i | \(-0.411611\pi\) |
−0.343495 | + | 0.939154i | \(0.611611\pi\) | |||||||
\(312\) | 8.80974 | + | 0.447077i | 0.498753 | + | 0.0253108i | ||||
\(313\) | −19.1931 | + | 13.9446i | −1.08486 | + | 0.788196i | −0.978524 | − | 0.206134i | \(-0.933912\pi\) |
−0.106335 | + | 0.994330i | \(0.533912\pi\) | |||||||
\(314\) | 2.86952 | − | 2.08483i | 0.161936 | − | 0.117654i | ||||
\(315\) | 0.324302 | − | 0.734933i | 0.0182723 | − | 0.0414088i | ||||
\(316\) | −8.92143 | − | 2.89875i | −0.501870 | − | 0.163067i | ||||
\(317\) | 13.3718 | − | 18.4048i | 0.751038 | − | 1.03371i | −0.246869 | − | 0.969049i | \(-0.579402\pi\) |
0.997907 | − | 0.0646661i | \(-0.0205982\pi\) | |||||||
\(318\) | −0.679101 | + | 1.77791i | −0.0380821 | + | 0.0997002i | ||||
\(319\) | 7.04241 | + | 1.84986i | 0.394299 | + | 0.103572i | ||||
\(320\) | − | 1.40495i | − | 0.0785391i | ||||||
\(321\) | 12.8192 | + | 19.6685i | 0.715499 | + | 1.09779i | ||||
\(322\) | 0.305511 | − | 0.940265i | 0.0170254 | − | 0.0523989i | ||||
\(323\) | 25.7346 | − | 8.36168i | 1.43191 | − | 0.465256i | ||||
\(324\) | 10.2231 | + | 11.2038i | 0.567950 | + | 0.622434i | ||||
\(325\) | 1.44781 | + | 1.99274i | 0.0803102 | + | 0.110537i | ||||
\(326\) | −1.44923 | − | 4.46026i | −0.0802652 | − | 0.247031i | ||||
\(327\) | 10.4549 | + | 8.43759i | 0.578157 | + | 0.466600i | ||||
\(328\) | −20.7510 | − | 15.0765i | −1.14578 | − | 0.832459i | ||||
\(329\) | −2.54745 | −0.140446 | ||||||||
\(330\) | −3.05864 | + | 1.01612i | −0.168372 | + | 0.0559355i | ||||
\(331\) | 16.1892 | 0.889838 | 0.444919 | − | 0.895571i | \(-0.353232\pi\) | ||||
0.444919 | + | 0.895571i | \(0.353232\pi\) | |||||||
\(332\) | −3.53244 | − | 2.56647i | −0.193868 | − | 0.140853i | ||||
\(333\) | 3.13870 | − | 1.82601i | 0.172000 | − | 0.100065i | ||||
\(334\) | 3.60919 | + | 11.1079i | 0.197486 | + | 0.607799i | ||||
\(335\) | 0.246373 | + | 0.339104i | 0.0134608 | + | 0.0185272i | ||||
\(336\) | −0.266969 | − | 0.989787i | −0.0145644 | − | 0.0539973i | ||||
\(337\) | −17.9300 | + | 5.82582i | −0.976712 | + | 0.317353i | −0.753522 | − | 0.657422i | \(-0.771647\pi\) |
−0.223189 | + | 0.974775i | \(0.571647\pi\) | |||||||
\(338\) | 1.20198 | − | 3.69930i | 0.0653789 | − | 0.201215i | ||||
\(339\) | −4.25568 | + | 2.77370i | −0.231137 | + | 0.150647i | ||||
\(340\) | 6.35527i | 0.344663i | ||||||||
\(341\) | −21.1956 | + | 8.25628i | −1.14781 | + | 0.447103i | ||||
\(342\) | −8.05133 | + | 9.00166i | −0.435366 | + | 0.486754i | ||||
\(343\) | 2.19218 | − | 3.01727i | 0.118366 | − | 0.162917i | ||||
\(344\) | 0.356431 | + | 0.115811i | 0.0192175 | + | 0.00624413i | ||||
\(345\) | −0.577701 | + | 11.3837i | −0.0311024 | + | 0.612878i | ||||
\(346\) | −1.83540 | + | 1.33349i | −0.0986715 | + | 0.0716890i | ||||
\(347\) | 9.54895 | − | 6.93772i | 0.512614 | − | 0.372436i | −0.301200 | − | 0.953561i | \(-0.597387\pi\) |
0.813814 | + | 0.581125i | \(0.197387\pi\) | |||||||
\(348\) | −0.324782 | + | 6.39988i | −0.0174101 | + | 0.343070i | ||||
\(349\) | −13.5845 | − | 4.41387i | −0.727161 | − | 0.236269i | −0.0780361 | − | 0.996951i | \(-0.524865\pi\) |
−0.649125 | + | 0.760681i | \(0.724865\pi\) | |||||||
\(350\) | −0.0883042 | + | 0.121540i | −0.00472006 | + | 0.00649660i | ||||
\(351\) | −11.3750 | + | 5.86718i | −0.607152 | + | 0.313167i | ||||
\(352\) | −9.63606 | + | 14.9995i | −0.513604 | + | 0.799477i | ||||
\(353\) | 3.37221i | 0.179484i | 0.995965 | + | 0.0897422i | \(0.0286043\pi\) | ||||
−0.995965 | + | 0.0897422i | \(0.971396\pi\) | |||||||
\(354\) | 4.47006 | − | 2.91342i | 0.237581 | − | 0.154847i | ||||
\(355\) | −0.776252 | + | 2.38906i | −0.0411992 | + | 0.126798i | ||||
\(356\) | −11.6598 | + | 3.78849i | −0.617968 | + | 0.200790i | ||||
\(357\) | 0.455478 | + | 1.68868i | 0.0241064 | + | 0.0893744i | ||||
\(358\) | −0.580278 | − | 0.798684i | −0.0306686 | − | 0.0422117i | ||||
\(359\) | 6.38318 | + | 19.6454i | 0.336891 | + | 1.03684i | 0.965783 | + | 0.259352i | \(0.0835089\pi\) |
−0.628892 | + | 0.777493i | \(0.716491\pi\) | |||||||
\(360\) | −3.11917 | − | 5.36149i | −0.164395 | − | 0.282575i | ||||
\(361\) | 26.2796 | + | 19.0933i | 1.38314 | + | 1.00491i | ||||
\(362\) | 2.12767 | 0.111828 | ||||||||
\(363\) | −18.4589 | − | 4.71902i | −0.968841 | − | 0.247684i | ||||
\(364\) | 1.11150 | 0.0582584 | ||||||||
\(365\) | 6.17601 | + | 4.48713i | 0.323267 | + | 0.234867i | ||||
\(366\) | 0.642214 | + | 0.518297i | 0.0335691 | + | 0.0270918i | ||||
\(367\) | −7.69229 | − | 23.6744i | −0.401534 | − | 1.23580i | −0.923755 | − | 0.382985i | \(-0.874896\pi\) |
0.522221 | − | 0.852810i | \(-0.325104\pi\) | |||||||
\(368\) | 8.55012 | + | 11.7682i | 0.445706 | + | 0.613461i | ||||
\(369\) | 37.0253 | + | 3.76762i | 1.92746 | + | 0.196135i | ||||
\(370\) | −0.645864 | + | 0.209854i | −0.0335769 | + | 0.0109098i | ||||
\(371\) | −0.162054 | + | 0.498751i | −0.00841342 | + | 0.0258938i | ||||
\(372\) | −10.9309 | − | 16.7713i | −0.566741 | − | 0.869550i | ||||
\(373\) | 22.3371i | 1.15657i | 0.815834 | + | 0.578286i | \(0.196278\pi\) | ||||
−0.815834 | + | 0.578286i | \(0.803722\pi\) | |||||||
\(374\) | 3.79292 | − | 5.90407i | 0.196127 | − | 0.305292i | ||||
\(375\) | 0.618034 | − | 1.61803i | 0.0319151 | − | 0.0835549i | ||||
\(376\) | −11.5620 | + | 15.9137i | −0.596265 | + | 0.820689i | ||||
\(377\) | −5.14296 | − | 1.67105i | −0.264876 | − | 0.0860634i | ||||
\(378\) | −0.554722 | − | 0.549240i | −0.0285318 | − | 0.0282498i | ||||
\(379\) | 6.20372 | − | 4.50727i | 0.318664 | − | 0.231523i | −0.416941 | − | 0.908933i | \(-0.636898\pi\) |
0.735605 | + | 0.677411i | \(0.236898\pi\) | |||||||
\(380\) | −9.78246 | + | 7.10737i | −0.501829 | + | 0.364600i | ||||
\(381\) | 35.2695 | + | 1.78986i | 1.80691 | + | 0.0916973i | ||||
\(382\) | −7.37784 | − | 2.39720i | −0.377483 | − | 0.122652i | ||||
\(383\) | −14.1228 | + | 19.4384i | −0.721641 | + | 0.993254i | 0.277826 | + | 0.960631i | \(0.410386\pi\) |
−0.999468 | + | 0.0326227i | \(0.989614\pi\) | |||||||
\(384\) | −18.6704 | − | 7.13148i | −0.952772 | − | 0.363927i | ||||
\(385\) | −0.827522 | + | 0.322343i | −0.0421744 | + | 0.0164281i | ||||
\(386\) | 4.22729i | 0.215163i | ||||||||
\(387\) | −0.531520 | + | 0.114818i | −0.0270187 | + | 0.00583655i | ||||
\(388\) | −9.73791 | + | 29.9702i | −0.494367 | + | 1.52151i | ||||
\(389\) | 25.0663 | − | 8.14452i | 1.27091 | − | 0.412944i | 0.405540 | − | 0.914077i | \(-0.367083\pi\) |
0.865370 | + | 0.501133i | \(0.167083\pi\) | |||||||
\(390\) | 2.31105 | − | 0.623345i | 0.117024 | − | 0.0315643i | ||||
\(391\) | −14.5874 | − | 20.0778i | −0.737717 | − | 1.01538i | ||||
\(392\) | −4.42666 | − | 13.6239i | −0.223580 | − | 0.688109i | ||||
\(393\) | 15.8573 | − | 19.6485i | 0.799894 | − | 0.991137i | ||||
\(394\) | −0.654451 | − | 0.475486i | −0.0329708 | − | 0.0239547i | ||||
\(395\) | −5.56637 | −0.280074 | ||||||||
\(396\) | 0.739583 | − | 16.7514i | 0.0371655 | − | 0.841790i | ||||
\(397\) | −1.65141 | −0.0828819 | −0.0414410 | − | 0.999141i | \(-0.513195\pi\) | ||||
−0.0414410 | + | 0.999141i | \(0.513195\pi\) | |||||||
\(398\) | −1.47082 | − | 1.06862i | −0.0737257 | − | 0.0535648i | ||||
\(399\) | −2.08995 | + | 2.58962i | −0.104628 | + | 0.129643i | ||||
\(400\) | −0.683053 | − | 2.10222i | −0.0341526 | − | 0.105111i | ||||
\(401\) | 5.46506 | + | 7.52201i | 0.272912 | + | 0.375631i | 0.923370 | − | 0.383911i | \(-0.125423\pi\) |
−0.650458 | + | 0.759542i | \(0.725423\pi\) | |||||||
\(402\) | 0.393269 | − | 0.106074i | 0.0196145 | − | 0.00529050i | ||||
\(403\) | 16.0666 | − | 5.22037i | 0.800336 | − | 0.260045i | ||||
\(404\) | 5.49596 | − | 16.9148i | 0.273434 | − | 0.841543i | ||||
\(405\) | 7.82385 | + | 4.44829i | 0.388770 | + | 0.221038i | ||||
\(406\) | − | 0.329819i | − | 0.0163686i | ||||||
\(407\) | −3.88274 | − | 1.01990i | −0.192460 | − | 0.0505545i | ||||
\(408\) | 12.6163 | + | 4.81900i | 0.624600 | + | 0.238576i | ||||
\(409\) | 7.71962 | − | 10.6251i | 0.381711 | − | 0.525380i | −0.574326 | − | 0.818627i | \(-0.694736\pi\) |
0.956037 | + | 0.293247i | \(0.0947358\pi\) | |||||||
\(410\) | −6.61948 | − | 2.15080i | −0.326913 | − | 0.106220i | ||||
\(411\) | −6.33789 | − | 0.321636i | −0.312625 | − | 0.0158651i | ||||
\(412\) | 2.76538 | − | 2.00917i | 0.136241 | − | 0.0989846i | ||||
\(413\) | 1.18944 | − | 0.864178i | 0.0585285 | − | 0.0425234i | ||||
\(414\) | 10.1338 | + | 4.47174i | 0.498051 | + | 0.219774i | ||||
\(415\) | −2.46415 | − | 0.800651i | −0.120960 | − | 0.0393024i | ||||
\(416\) | 7.78251 | − | 10.7117i | 0.381569 | − | 0.525185i | ||||
\(417\) | −6.89480 | + | 18.0508i | −0.337640 | + | 0.883953i | ||||
\(418\) | 13.3297 | − | 0.764459i | 0.651977 | − | 0.0373909i | ||||
\(419\) | 36.8981i | 1.80259i | 0.433205 | + | 0.901296i | \(0.357383\pi\) | ||||
−0.433205 | + | 0.901296i | \(0.642617\pi\) | |||||||
\(420\) | −0.426766 | − | 0.654786i | −0.0208240 | − | 0.0319503i | ||||
\(421\) | −9.07289 | + | 27.9235i | −0.442186 | + | 1.36091i | 0.443355 | + | 0.896346i | \(0.353788\pi\) |
−0.885541 | + | 0.464562i | \(0.846212\pi\) | |||||||
\(422\) | 8.94555 | − | 2.90658i | 0.435462 | − | 0.141490i | ||||
\(423\) | 2.88936 | − | 28.3943i | 0.140485 | − | 1.38058i | ||||
\(424\) | 2.38015 | + | 3.27599i | 0.115590 | + | 0.159096i | ||||
\(425\) | 1.16536 | + | 3.58661i | 0.0565282 | + | 0.173976i | ||||
\(426\) | 1.89963 | + | 1.53309i | 0.0920372 | + | 0.0742784i | ||||
\(427\) | 0.183970 | + | 0.133662i | 0.00890296 | + | 0.00646838i | ||||
\(428\) | 22.8425 | 1.10413 | ||||||||
\(429\) | 13.4858 | + | 4.28385i | 0.651099 | + | 0.206826i | ||||
\(430\) | 0.101696 | 0.00490424 | ||||||||
\(431\) | −27.4746 | − | 19.9615i | −1.32341 | − | 0.961511i | −0.999883 | − | 0.0152912i | \(-0.995132\pi\) |
−0.323524 | − | 0.946220i | \(-0.604868\pi\) | |||||||
\(432\) | 11.3351 | − | 1.85306i | 0.545362 | − | 0.0891552i | ||||
\(433\) | −10.5560 | − | 32.4880i | −0.507288 | − | 1.56127i | −0.796890 | − | 0.604124i | \(-0.793523\pi\) |
0.289602 | − | 0.957147i | \(-0.406477\pi\) | |||||||
\(434\) | 0.605628 | + | 0.833576i | 0.0290711 | + | 0.0400129i | ||||
\(435\) | 0.990248 | + | 3.67134i | 0.0474788 | + | 0.176027i | ||||
\(436\) | 12.4319 | − | 4.03937i | 0.595381 | − | 0.193451i | ||||
\(437\) | 14.5914 | − | 44.9078i | 0.698002 | − | 2.14823i | ||||
\(438\) | 6.21496 | − | 4.05069i | 0.296962 | − | 0.193549i | ||||
\(439\) | − | 33.7166i | − | 1.60921i | −0.593812 | − | 0.804604i | \(-0.702378\pi\) | ||
0.593812 | − | 0.804604i | \(-0.297622\pi\) | |||||||
\(440\) | −1.74218 | + | 6.63247i | −0.0830553 | + | 0.316190i | ||||
\(441\) | 15.4922 | + | 13.8566i | 0.737721 | + | 0.659838i | ||||
\(442\) | −3.06333 | + | 4.21631i | −0.145708 | + | 0.200549i | ||||
\(443\) | −7.69930 | − | 2.50166i | −0.365805 | − | 0.118857i | 0.120346 | − | 0.992732i | \(-0.461600\pi\) |
−0.486151 | + | 0.873875i | \(0.661600\pi\) | |||||||
\(444\) | 0.179064 | − | 3.52849i | 0.00849801 | − | 0.167455i | ||||
\(445\) | −5.88553 | + | 4.27609i | −0.279001 | + | 0.202706i | ||||
\(446\) | −10.3288 | + | 7.50435i | −0.489085 | + | 0.355341i | ||||
\(447\) | −1.00687 | + | 19.8406i | −0.0476235 | + | 0.938430i | ||||
\(448\) | −0.357788 | − | 0.116252i | −0.0169039 | − | 0.00549241i | ||||
\(449\) | 1.77372 | − | 2.44131i | 0.0837069 | − | 0.115213i | −0.765110 | − | 0.643900i | \(-0.777315\pi\) |
0.848817 | + | 0.528687i | \(0.177315\pi\) | |||||||
\(450\) | −1.25455 | − | 1.12211i | −0.0591402 | − | 0.0528966i | ||||
\(451\) | −26.0502 | − | 31.8472i | −1.22666 | − | 1.49963i | ||||
\(452\) | 4.94244i | 0.232473i | ||||||||
\(453\) | −12.5147 | + | 8.15664i | −0.587993 | + | 0.383232i | ||||
\(454\) | 4.13204 | − | 12.7171i | 0.193926 | − | 0.596844i | ||||
\(455\) | 0.627276 | − | 0.203814i | 0.0294072 | − | 0.00955496i | ||||
\(456\) | 6.69163 | + | 24.8092i | 0.313364 | + | 1.16179i | ||||
\(457\) | −1.23392 | − | 1.69835i | −0.0577204 | − | 0.0794454i | 0.779181 | − | 0.626799i | \(-0.215635\pi\) |
−0.836901 | + | 0.547354i | \(0.815635\pi\) | |||||||
\(458\) | 2.87395 | + | 8.84511i | 0.134291 | + | 0.413305i | ||||
\(459\) | −19.3389 | + | 3.16151i | −0.902664 | + | 0.147567i | ||||
\(460\) | 8.97214 | + | 6.51864i | 0.418328 | + | 0.303933i | ||||
\(461\) | −34.3921 | −1.60180 | −0.800899 | − | 0.598799i | \(-0.795645\pi\) | ||||
−0.800899 | + | 0.598799i | \(0.795645\pi\) | |||||||
\(462\) | 0.00568094 | + | 0.862998i | 0.000264301 | + | 0.0401503i | ||||
\(463\) | −21.6267 | −1.00508 | −0.502539 | − | 0.864555i | \(-0.667601\pi\) | ||||
−0.502539 | + | 0.864555i | \(0.667601\pi\) | |||||||
\(464\) | 3.92593 | + | 2.85236i | 0.182257 | + | 0.132417i | ||||
\(465\) | −9.24420 | − | 7.46051i | −0.428690 | − | 0.345973i | ||||
\(466\) | 0.424702 | + | 1.30710i | 0.0196739 | + | 0.0605501i | ||||
\(467\) | −9.24080 | − | 12.7189i | −0.427613 | − | 0.588559i | 0.539790 | − | 0.841800i | \(-0.318504\pi\) |
−0.967403 | + | 0.253241i | \(0.918504\pi\) | |||||||
\(468\) | −1.26068 | + | 12.3890i | −0.0582748 | + | 0.572679i | ||||
\(469\) | 0.106743 | − | 0.0346829i | 0.00492894 | − | 0.00160151i | ||||
\(470\) | −1.64943 | + | 5.07642i | −0.0760825 | + | 0.234158i | ||||
\(471\) | 5.97891 | + | 9.17344i | 0.275494 | + | 0.422690i | ||||
\(472\) | − | 11.3525i | − | 0.522543i | ||||||
\(473\) | 0.505792 | + | 0.324933i | 0.0232563 | + | 0.0149404i | ||||
\(474\) | −1.93014 | + | 5.05316i | −0.0886541 | + | 0.232099i | ||||
\(475\) | −4.21747 | + | 5.80485i | −0.193511 | + | 0.266345i | ||||
\(476\) | 1.61845 | + | 0.525866i | 0.0741815 | + | 0.0241030i | ||||
\(477\) | −5.37536 | − | 2.37197i | −0.246121 | − | 0.108605i | ||||
\(478\) | −2.22592 | + | 1.61722i | −0.101811 | + | 0.0739700i | ||||
\(479\) | 8.54553 | − | 6.20869i | 0.390455 | − | 0.283682i | −0.375187 | − | 0.926949i | \(-0.622421\pi\) |
0.765642 | + | 0.643267i | \(0.222421\pi\) | |||||||
\(480\) | −9.29843 | − | 0.471877i | −0.424413 | − | 0.0215382i | ||||
\(481\) | 2.83551 | + | 0.921312i | 0.129288 | + | 0.0420082i | ||||
\(482\) | −5.60299 | + | 7.71186i | −0.255209 | + | 0.351265i | ||||
\(483\) | 2.85120 | + | 1.08906i | 0.129734 | + | 0.0495541i | ||||
\(484\) | −13.6531 | + | 12.5391i | −0.620595 | + | 0.569959i | ||||
\(485\) | 18.6994i | 0.849094i | ||||||||
\(486\) | 6.75109 | − | 5.56007i | 0.306236 | − | 0.252210i | ||||
\(487\) | 11.1213 | − | 34.2280i | 0.503956 | − | 1.55102i | −0.298562 | − | 0.954390i | \(-0.596507\pi\) |
0.802518 | − | 0.596628i | \(-0.203493\pi\) | |||||||
\(488\) | 1.66996 | − | 0.542602i | 0.0755954 | − | 0.0245624i | ||||
\(489\) | 13.9785 | − | 3.77034i | 0.632130 | − | 0.170501i | ||||
\(490\) | −2.28480 | − | 3.14476i | −0.103217 | − | 0.142066i | ||||
\(491\) | 2.51408 | + | 7.73755i | 0.113459 | + | 0.349191i | 0.991623 | − | 0.129170i | \(-0.0412312\pi\) |
−0.878164 | + | 0.478361i | \(0.841231\pi\) | |||||||
\(492\) | 22.7412 | − | 28.1783i | 1.02525 | − | 1.27038i | ||||
\(493\) | −6.69805 | − | 4.86642i | −0.301665 | − | 0.219172i | ||||
\(494\) | −9.91587 | −0.446136 | ||||||||
\(495\) | −2.65430 | − | 9.58930i | −0.119302 | − | 0.431007i | ||||
\(496\) | −15.1599 | −0.680701 | ||||||||
\(497\) | 0.544173 | + | 0.395365i | 0.0244095 | + | 0.0177345i | ||||
\(498\) | −1.58128 | + | 1.95934i | −0.0708587 | + | 0.0878000i | ||||
\(499\) | 2.40273 | + | 7.39484i | 0.107561 | + | 0.331038i | 0.990323 | − | 0.138782i | \(-0.0443187\pi\) |
−0.882762 | + | 0.469820i | \(0.844319\pi\) | |||||||
\(500\) | −0.990547 | − | 1.36337i | −0.0442986 | − | 0.0609718i | ||||
\(501\) | −34.8124 | + | 9.38975i | −1.55530 | + | 0.419503i | ||||
\(502\) | −8.26331 | + | 2.68491i | −0.368809 | + | 0.119833i | ||||
\(503\) | −2.89733 | + | 8.91707i | −0.129186 | + | 0.397592i | −0.994640 | − | 0.103395i | \(-0.967030\pi\) |
0.865455 | + | 0.500987i | \(0.167030\pi\) | |||||||
\(504\) | −1.62347 | + | 0.350700i | −0.0723150 | + | 0.0156214i | ||||
\(505\) | − | 10.5537i | − | 0.469633i | ||||||
\(506\) | −4.44472 | − | 11.4105i | −0.197592 | − | 0.507260i | ||||
\(507\) | 11.2175 | + | 4.28471i | 0.498188 | + | 0.190291i | ||||
\(508\) | 20.1963 | − | 27.7979i | 0.896068 | − | 1.23333i | ||||
\(509\) | 10.5380 | + | 3.42400i | 0.467088 | + | 0.151766i | 0.533099 | − | 0.846053i | \(-0.321027\pi\) |
−0.0660110 | + | 0.997819i | \(0.521027\pi\) | |||||||
\(510\) | 3.66002 | + | 0.185739i | 0.162068 | + | 0.00822466i | ||||
\(511\) | 1.65374 | − | 1.20151i | 0.0731571 | − | 0.0531517i | ||||
\(512\) | −17.0073 | + | 12.3565i | −0.751624 | + | 0.546087i | ||||
\(513\) | −26.4939 | − | 26.2321i | −1.16974 | − | 1.15818i | ||||
\(514\) | −12.2995 | − | 3.99634i | −0.542507 | − | 0.176271i | ||||
\(515\) | 1.19223 | − | 1.64096i | 0.0525359 | − | 0.0723094i | ||||
\(516\) | −0.188786 | + | 0.494249i | −0.00831086 | + | 0.0217581i | ||||
\(517\) | −24.4233 | + | 19.9777i | −1.07414 | + | 0.878617i | ||||
\(518\) | 0.181842i | 0.00798966i | ||||||||
\(519\) | −3.82422 | − | 5.86750i | −0.167865 | − | 0.257554i | ||||
\(520\) | 1.57378 | − | 4.84359i | 0.0690147 | − | 0.212405i | ||||
\(521\) | 12.1704 | − | 3.95440i | 0.533195 | − | 0.173246i | −0.0300302 | − | 0.999549i | \(-0.509560\pi\) |
0.563225 | + | 0.826303i | \(0.309560\pi\) | |||||||
\(522\) | 3.67622 | + | 0.374085i | 0.160904 | + | 0.0163733i | ||||
\(523\) | −19.8308 | − | 27.2947i | −0.867139 | − | 1.19351i | −0.979820 | − | 0.199883i | \(-0.935944\pi\) |
0.112681 | − | 0.993631i | \(-0.464056\pi\) | |||||||
\(524\) | −7.59145 | − | 23.3641i | −0.331634 | − | 1.02066i | ||||
\(525\) | −0.360914 | − | 0.291274i | −0.0157516 | − | 0.0127122i | ||||
\(526\) | 9.85487 | + | 7.15999i | 0.429693 | + | 0.312190i | ||||
\(527\) | 25.8644 | 1.12667 | ||||||||
\(528\) | −10.3217 | − | 7.39580i | −0.449192 | − | 0.321861i | ||||
\(529\) | −20.3075 | −0.882936 | ||||||||
\(530\) | 0.888955 | + | 0.645864i | 0.0386137 | + | 0.0280545i | ||||
\(531\) | 8.28319 | + | 14.2378i | 0.359460 | + | 0.617870i | ||||
\(532\) | 1.00053 | + | 3.07932i | 0.0433786 | + | 0.133506i | ||||
\(533\) | 17.9608 | + | 24.7209i | 0.777969 | + | 1.07078i | ||||
\(534\) | 1.84104 | + | 6.82563i | 0.0796695 | + | 0.295374i | ||||
\(535\) | 12.8912 | − | 4.18861i | 0.557335 | − | 0.181089i | ||||
\(536\) | 0.267808 | − | 0.824230i | 0.0115676 | − | 0.0356013i | ||||
\(537\) | 2.55328 | − | 1.66413i | 0.110182 | − | 0.0718126i | ||||
\(538\) | 13.8690i | 0.597934i | ||||||||
\(539\) | −1.31566 | − | 22.9409i | −0.0566695 | − | 0.988134i | ||||
\(540\) | 7.78240 | − | 4.01414i | 0.334901 | − | 0.172741i | ||||
\(541\) | −10.9782 | + | 15.1102i | −0.471990 | + | 0.649639i | −0.976941 | − | 0.213509i | \(-0.931511\pi\) |
0.504951 | + | 0.863148i | \(0.331511\pi\) | |||||||
\(542\) | −13.6016 | − | 4.41944i | −0.584240 | − | 0.189831i | ||||
\(543\) | −0.332906 | + | 6.55997i | −0.0142863 | + | 0.281515i | ||||
\(544\) | 16.4000 | − | 11.9153i | 0.703142 | − | 0.510863i | ||||
\(545\) | 6.27528 | − | 4.55926i | 0.268803 | − | 0.195297i | ||||
\(546\) | 0.0324846 | − | 0.640115i | 0.00139021 | − | 0.0273944i | ||||
\(547\) | −2.07526 | − | 0.674293i | −0.0887318 | − | 0.0288307i | 0.264315 | − | 0.964436i | \(-0.414854\pi\) |
−0.353046 | + | 0.935606i | \(0.614854\pi\) | |||||||
\(548\) | −3.62926 | + | 4.99524i | −0.155034 | + | 0.213386i | ||||
\(549\) | −1.69849 | + | 1.89896i | −0.0724896 | + | 0.0810458i | ||||
\(550\) | 0.106542 | + | 1.85775i | 0.00454296 | + | 0.0792147i | ||||
\(551\) | − | 15.7524i | − | 0.671075i | ||||||
\(552\) | 19.7439 | − | 12.8684i | 0.840356 | − | 0.547714i | ||||
\(553\) | −0.460588 | + | 1.41754i | −0.0195862 | + | 0.0602801i | ||||
\(554\) | −14.7188 | + | 4.78242i | −0.625340 | + | 0.203185i | ||||
\(555\) | −0.545961 | − | 2.02415i | −0.0231748 | − | 0.0859202i | ||||
\(556\) | 11.0506 | + | 15.2098i | 0.468649 | + | 0.645040i | ||||
\(557\) | 9.11439 | + | 28.0512i | 0.386189 | + | 1.18857i | 0.935614 | + | 0.353025i | \(0.114847\pi\) |
−0.549425 | + | 0.835543i | \(0.685153\pi\) | |||||||
\(558\) | −9.97809 | + | 5.80498i | −0.422406 | + | 0.245744i | ||||
\(559\) | −0.361204 | − | 0.262430i | −0.0152773 | − | 0.0110996i | ||||
\(560\) | −0.591876 | −0.0250113 | ||||||||
\(561\) | 17.6098 | + | 12.6180i | 0.743487 | + | 0.532733i | ||||
\(562\) | 10.8744 | 0.458709 | ||||||||
\(563\) | −20.5384 | − | 14.9220i | −0.865591 | − | 0.628888i | 0.0638095 | − | 0.997962i | \(-0.479675\pi\) |
−0.929400 | + | 0.369074i | \(0.879675\pi\) | |||||||
\(564\) | −21.6097 | − | 17.4400i | −0.909932 | − | 0.734358i | ||||
\(565\) | 0.906289 | + | 2.78927i | 0.0381279 | + | 0.117346i | ||||
\(566\) | −5.22760 | − | 7.19517i | −0.219732 | − | 0.302436i | ||||
\(567\) | 1.78020 | − | 1.62437i | 0.0747613 | − | 0.0682171i | ||||
\(568\) | 4.93962 | − | 1.60498i | 0.207262 | − | 0.0673435i | ||||
\(569\) | −5.13410 | + | 15.8011i | −0.215233 | + | 0.662418i | 0.783904 | + | 0.620882i | \(0.213225\pi\) |
−0.999137 | + | 0.0415366i | \(0.986775\pi\) | |||||||
\(570\) | 3.80725 | + | 5.84146i | 0.159468 | + | 0.244672i | ||||
\(571\) | − | 16.4821i | − | 0.689756i | −0.938648 | − | 0.344878i | \(-0.887920\pi\) | ||
0.938648 | − | 0.344878i | \(-0.112080\pi\) | |||||||
\(572\) | 10.6563 | − | 8.71661i | 0.445563 | − | 0.364460i | ||||
\(573\) | 8.54538 | − | 22.3721i | 0.356988 | − | 0.934608i | ||||
\(574\) | −1.09546 | + | 1.50777i | −0.0457234 | + | 0.0629329i | ||||
\(575\) | 6.25876 | + | 2.03359i | 0.261008 | + | 0.0848067i | ||||
\(576\) | 1.70158 | − | 3.85611i | 0.0708991 | − | 0.160671i | ||||
\(577\) | 20.1803 | − | 14.6618i | 0.840116 | − | 0.610380i | −0.0822869 | − | 0.996609i | \(-0.526222\pi\) |
0.922403 | + | 0.386229i | \(0.126222\pi\) | |||||||
\(578\) | 1.26102 | − | 0.916184i | 0.0524515 | − | 0.0381082i | ||||
\(579\) | −13.0335 | − | 0.661424i | −0.541653 | − | 0.0274878i | ||||
\(580\) | 3.51865 | + | 1.14328i | 0.146104 | + | 0.0474721i | ||||
\(581\) | −0.407792 | + | 0.561277i | −0.0169180 | + | 0.0232857i | ||||
\(582\) | 16.9753 | + | 6.48400i | 0.703650 | + | 0.268770i | ||||
\(583\) | 2.35764 | + | 6.05256i | 0.0976436 | + | 0.250671i | ||||
\(584\) | − | 15.7840i | − | 0.653147i | ||||||
\(585\) | 1.56028 | + | 7.22289i | 0.0645098 | + | 0.298630i | ||||
\(586\) | 3.62457 | − | 11.1553i | 0.149730 | − | 0.460820i | ||||
\(587\) | −9.97820 | + | 3.24211i | −0.411844 | + | 0.133816i | −0.507609 | − | 0.861588i | \(-0.669470\pi\) |
0.0957644 | + | 0.995404i | \(0.469470\pi\) | |||||||
\(588\) | 19.5252 | − | 5.26640i | 0.805204 | − | 0.217183i | ||||
\(589\) | 28.9253 | + | 39.8122i | 1.19185 | + | 1.64043i | ||||
\(590\) | −0.951945 | − | 2.92979i | −0.0391910 | − | 0.120617i | ||||
\(591\) | 1.56841 | − | 1.94339i | 0.0645157 | − | 0.0799404i | ||||
\(592\) | −2.16451 | − | 1.57261i | −0.0889610 | − | 0.0646339i | ||||
\(593\) | 5.90159 | 0.242349 | 0.121175 | − | 0.992631i | \(-0.461334\pi\) | ||||
0.121175 | + | 0.992631i | \(0.461334\pi\) | |||||||
\(594\) | −9.62557 | − | 0.915504i | −0.394942 | − | 0.0375636i | ||||
\(595\) | 1.00980 | 0.0413979 | ||||||||
\(596\) | 15.6375 | + | 11.3613i | 0.640537 | + | 0.465378i | ||||
\(597\) | 3.52486 | − | 4.36760i | 0.144263 | − | 0.178754i | ||||
\(598\) | 2.81036 | + | 8.64939i | 0.114924 | + | 0.353700i | ||||
\(599\) | 7.46551 | + | 10.2754i | 0.305032 | + | 0.419841i | 0.933824 | − | 0.357733i | \(-0.116450\pi\) |
−0.628792 | + | 0.777574i | \(0.716450\pi\) | |||||||
\(600\) | −3.45763 | + | 0.932606i | −0.141157 | + | 0.0380735i | ||||
\(601\) | −6.19862 | + | 2.01405i | −0.252847 | + | 0.0821549i | −0.432698 | − | 0.901539i | \(-0.642438\pi\) |
0.179851 | + | 0.983694i | \(0.442438\pi\) | |||||||
\(602\) | 0.00841486 | − | 0.0258983i | 0.000342964 | − | 0.00105553i | ||||
\(603\) | 0.265512 | + | 1.22911i | 0.0108125 | + | 0.0500534i | ||||
\(604\) | 14.5343i | 0.591391i | ||||||||
\(605\) | −5.40586 | + | 9.58002i | −0.219779 | + | 0.389483i | ||||
\(606\) | −9.58066 | − | 3.65949i | −0.389188 | − | 0.148657i | ||||
\(607\) | −4.00608 | + | 5.51390i | −0.162602 | + | 0.223802i | −0.882542 | − | 0.470234i | \(-0.844169\pi\) |
0.719940 | + | 0.694036i | \(0.244169\pi\) | |||||||
\(608\) | 36.6815 | + | 11.9186i | 1.48763 | + | 0.483361i | ||||
\(609\) | 1.01689 | + | 0.0516052i | 0.0412065 | + | 0.00209115i | ||||
\(610\) | 0.385472 | − | 0.280062i | 0.0156073 | − | 0.0113394i | ||||
\(611\) | 18.9583 | − | 13.7740i | 0.766970 | − | 0.557236i | ||||
\(612\) | −7.69706 | + | 17.4431i | −0.311135 | + | 0.705094i | ||||
\(613\) | 9.64609 | + | 3.13420i | 0.389602 | + | 0.126589i | 0.497266 | − | 0.867598i | \(-0.334337\pi\) |
−0.107664 | + | 0.994187i | \(0.534337\pi\) | |||||||
\(614\) | 7.36463 | − | 10.1365i | 0.297212 | − | 0.409077i | ||||
\(615\) | 7.66701 | − | 20.0725i | 0.309164 | − | 0.809401i | ||||
\(616\) | 1.54488 | + | 0.992471i | 0.0622451 | + | 0.0399878i | ||||
\(617\) | − | 35.7937i | − | 1.44100i | −0.693455 | − | 0.720500i | \(-0.743913\pi\) | ||
0.693455 | − | 0.720500i | \(-0.256087\pi\) | |||||||
\(618\) | −1.07626 | − | 1.65131i | −0.0432937 | − | 0.0664255i | ||||
\(619\) | −12.9402 | + | 39.8257i | −0.520109 | + | 1.60073i | 0.253680 | + | 0.967288i | \(0.418359\pi\) |
−0.773789 | + | 0.633443i | \(0.781641\pi\) | |||||||
\(620\) | −10.9923 | + | 3.57161i | −0.441461 | + | 0.143439i | ||||
\(621\) | −15.3727 | + | 30.5447i | −0.616887 | + | 1.22572i | ||||
\(622\) | 0.424181 | + | 0.583835i | 0.0170081 | + | 0.0234096i | ||||
\(623\) | 0.601962 | + | 1.85265i | 0.0241171 | + | 0.0742248i | ||||
\(624\) | 7.33854 | + | 5.92255i | 0.293777 | + | 0.237092i | ||||
\(625\) | −0.809017 | − | 0.587785i | −0.0323607 | − | 0.0235114i | ||||
\(626\) | 13.3104 | 0.531991 | ||||||||
\(627\) | 0.271326 | + | 41.2175i | 0.0108357 | + | 1.64607i | ||||
\(628\) | 10.6538 | 0.425133 | ||||||||
\(629\) | 3.69289 | + | 2.68304i | 0.147245 | + | 0.106980i | ||||
\(630\) | −0.389566 | + | 0.226639i | −0.0155207 | + | 0.00902951i | ||||
\(631\) | 4.53227 | + | 13.9489i | 0.180427 | + | 0.555297i | 0.999840 | − | 0.0179068i | \(-0.00570023\pi\) |
−0.819413 | + | 0.573204i | \(0.805700\pi\) | |||||||
\(632\) | 6.76484 | + | 9.31100i | 0.269091 | + | 0.370372i | ||||
\(633\) | 7.56185 | + | 28.0355i | 0.300556 | + | 1.11431i | ||||
\(634\) | −12.1390 | + | 3.94420i | −0.482101 | + | 0.156644i | ||||
\(635\) | 6.30057 | − | 19.3912i | 0.250031 | − | 0.769515i | ||||
\(636\) | −4.78916 | + | 3.12140i | −0.189903 | + | 0.123772i | ||||
\(637\) | 17.0656i | 0.676162i | ||||||||
\(638\) | −2.58651 | − | 3.16209i | −0.102401 | − | 0.125188i | ||||
\(639\) | −5.02401 | + | 5.61701i | −0.198747 | + | 0.222206i | ||||
\(640\) | −6.78244 | + | 9.33522i | −0.268099 | + | 0.369007i | ||||
\(641\) | 6.53215 | + | 2.12242i | 0.258004 | + | 0.0838307i | 0.435163 | − | 0.900352i | \(-0.356691\pi\) |
−0.177159 | + | 0.984182i | \(0.556691\pi\) | |||||||
\(642\) | 0.667594 | − | 13.1551i | 0.0263478 | − | 0.519189i | ||||
\(643\) | −33.0408 | + | 24.0055i | −1.30300 | + | 0.946686i | −0.999980 | − | 0.00629741i | \(-0.997995\pi\) |
−0.303022 | + | 0.952984i | \(0.597995\pi\) | |||||||
\(644\) | 2.40245 | − | 1.74548i | 0.0946698 | − | 0.0687817i | ||||
\(645\) | −0.0159119 | + | 0.313548i | −0.000626532 | + | 0.0123459i | ||||
\(646\) | −14.4385 | − | 4.69134i | −0.568074 | − | 0.184578i | ||||
\(647\) | −21.3260 | + | 29.3527i | −0.838412 | + | 1.15397i | 0.147887 | + | 0.989004i | \(0.452753\pi\) |
−0.986298 | + | 0.164971i | \(0.947247\pi\) | |||||||
\(648\) | −2.06760 | − | 18.4932i | −0.0812231 | − | 0.726482i | ||||
\(649\) | 4.62650 | − | 17.6130i | 0.181606 | − | 0.691371i | ||||
\(650\) | − | 1.38197i | − | 0.0542052i | ||||||
\(651\) | −2.66482 | + | 1.73683i | −0.104443 | + | 0.0680719i | ||||
\(652\) | 4.35300 | − | 13.3972i | 0.170477 | − | 0.524673i | ||||
\(653\) | −12.3737 | + | 4.02045i | −0.484219 | + | 0.157332i | −0.540946 | − | 0.841058i | \(-0.681934\pi\) |
0.0567270 | + | 0.998390i | \(0.481934\pi\) | |||||||
\(654\) | −1.96295 | − | 7.27763i | −0.0767575 | − | 0.284578i | ||||
\(655\) | −8.56849 | − | 11.7935i | −0.334799 | − | 0.460811i | ||||
\(656\) | −8.47360 | − | 26.0791i | −0.330839 | − | 1.01822i | ||||
\(657\) | 11.5166 | + | 19.7956i | 0.449303 | + | 0.772300i | ||||
\(658\) | 1.15629 | + | 0.840096i | 0.0450770 | + | 0.0327503i | ||||
\(659\) | −3.12428 | −0.121705 | −0.0608523 | − | 0.998147i | \(-0.519382\pi\) | ||||
−0.0608523 | + | 0.998147i | \(0.519382\pi\) | |||||||
\(660\) | −9.22653 | − | 2.93088i | −0.359142 | − | 0.114084i | ||||
\(661\) | −3.26339 | −0.126931 | −0.0634655 | − | 0.997984i | \(-0.520215\pi\) | ||||
−0.0634655 | + | 0.997984i | \(0.520215\pi\) | |||||||
\(662\) | −7.34829 | − | 5.33885i | −0.285599 | − | 0.207500i | ||||
\(663\) | −12.5203 | − | 10.1045i | −0.486249 | − | 0.392426i | ||||
\(664\) | 1.65543 | + | 5.09488i | 0.0642431 | + | 0.197720i | ||||
\(665\) | 1.12930 | + | 1.55435i | 0.0437926 | + | 0.0602753i | ||||
\(666\) | −2.02684 | − | 0.206247i | −0.0785383 | − | 0.00799192i | ||||
\(667\) | −13.7405 | + | 4.46455i | −0.532033 | + | 0.172868i | ||||
\(668\) | −10.8408 | + | 33.3646i | −0.419444 | + | 1.29092i | ||||
\(669\) | −21.5211 | − | 33.0198i | −0.832055 | − | 1.27662i | ||||
\(670\) | − | 0.235168i | − | 0.00908534i | ||||||
\(671\) | 2.81200 | − | 0.161268i | 0.108556 | − | 0.00622569i | ||||
\(672\) | −0.889567 | + | 2.32892i | −0.0343158 | + | 0.0898399i | ||||
\(673\) | −5.17062 | + | 7.11675i | −0.199313 | + | 0.274331i | −0.896961 | − | 0.442110i | \(-0.854230\pi\) |
0.697648 | + | 0.716441i | \(0.254230\pi\) | |||||||
\(674\) | 10.0597 | + | 3.26860i | 0.387485 | + | 0.125902i | ||||
\(675\) | 3.65594 | − | 3.69244i | 0.140717 | − | 0.142122i | ||||
\(676\) | 9.45200 | − | 6.86728i | 0.363538 | − | 0.264126i | ||||
\(677\) | −20.6961 | + | 15.0366i | −0.795416 | + | 0.577904i | −0.909566 | − | 0.415560i | \(-0.863586\pi\) |
0.114150 | + | 0.993464i | \(0.463586\pi\) | |||||||
\(678\) | 2.84636 | + | 0.144447i | 0.109314 | + | 0.00554747i | ||||
\(679\) | 4.76203 | + | 1.54728i | 0.182750 | + | 0.0593790i | ||||
\(680\) | 4.58314 | − | 6.30815i | 0.175756 | − | 0.241907i | ||||
\(681\) | 38.5626 | + | 14.7296i | 1.47772 | + | 0.564440i | ||||
\(682\) | 12.3435 | + | 3.24232i | 0.472655 | + | 0.124155i | ||||
\(683\) | 31.8661i | 1.21932i | 0.792662 | + | 0.609661i | \(0.208694\pi\) | ||||
−0.792662 | + | 0.609661i | \(0.791306\pi\) | |||||||
\(684\) | −35.4575 | + | 7.65950i | −1.35575 | + | 0.292868i | ||||
\(685\) | −1.13220 | + | 3.48457i | −0.0432593 | + | 0.133138i | ||||
\(686\) | −1.99006 | + | 0.646611i | −0.0759810 | + | 0.0246877i | ||||
\(687\) | −27.7207 | + | 7.47694i | −1.05761 | + | 0.285263i | ||||
\(688\) | 0.235501 | + | 0.324139i | 0.00897838 | + | 0.0123577i | ||||
\(689\) | −1.49071 | − | 4.58795i | −0.0567917 | − | 0.174787i | ||||
\(690\) | 4.01632 | − | 4.97657i | 0.152899 | − | 0.189455i | ||||
\(691\) | 23.0137 | + | 16.7204i | 0.875482 | + | 0.636075i | 0.932052 | − | 0.362324i | \(-0.118017\pi\) |
−0.0565706 | + | 0.998399i | \(0.518017\pi\) | |||||||
\(692\) | −6.81436 | −0.259043 | ||||||||
\(693\) | −2.66167 | − | 0.117514i | −0.101108 | − | 0.00446399i | ||||
\(694\) | −6.62219 | −0.251375 | ||||||||
\(695\) | 9.02542 | + | 6.55735i | 0.342354 | + | 0.248734i | ||||
\(696\) | 4.93769 | − | 6.11821i | 0.187163 | − | 0.231910i | ||||
\(697\) | 14.4569 | + | 44.4936i | 0.547592 | + | 1.68532i | ||||
\(698\) | 4.71042 | + | 6.48334i | 0.178292 | + | 0.245398i | ||||
\(699\) | −4.09646 | + | 1.10492i | −0.154942 | + | 0.0417917i | ||||
\(700\) | −0.429162 | + | 0.139443i | −0.0162208 | + | 0.00527046i | ||||
\(701\) | 1.83233 | − | 5.63933i | 0.0692061 | − | 0.212994i | −0.910472 | − | 0.413571i | \(-0.864281\pi\) |
0.979678 | + | 0.200576i | \(0.0642814\pi\) | |||||||
\(702\) | 7.09799 | + | 1.08811i | 0.267896 | + | 0.0410679i | ||||
\(703\) | 8.68489i | 0.327557i | ||||||||
\(704\) | −4.34192 | + | 1.69130i | −0.163642 | + | 0.0637432i | ||||
\(705\) | −15.3934 | − | 5.87976i | −0.579750 | − | 0.221445i | ||||
\(706\) | 1.11208 | − | 1.53065i | 0.0418537 | − | 0.0576067i | ||||
\(707\) | −2.68763 | − | 0.873264i | −0.101079 | − | 0.0328425i | ||||
\(708\) | 16.0061 | + | 0.812276i | 0.601545 | + | 0.0305272i | ||||
\(709\) | 18.2975 | − | 13.2939i | 0.687177 | − | 0.499263i | −0.188554 | − | 0.982063i | \(-0.560380\pi\) |
0.875731 | + | 0.482800i | \(0.160380\pi\) | |||||||
\(710\) | 1.14020 | − | 0.828405i | 0.0427910 | − | 0.0310895i | ||||
\(711\) | −15.2778 | − | 6.74159i | −0.572962 | − | 0.252829i | ||||
\(712\) | 14.3054 | + | 4.64812i | 0.536119 | + | 0.174196i | ||||
\(713\) | 26.5293 | − | 36.5144i | 0.993529 | − | 1.36748i | ||||
\(714\) | 0.350149 | − | 0.916701i | 0.0131040 | − | 0.0343067i | ||||
\(715\) | 4.41556 | − | 6.87327i | 0.165133 | − | 0.257046i | ||||
\(716\) | − | 2.96531i | − | 0.110819i | ||||||
\(717\) | −4.63790 | − | 7.11593i | −0.173206 | − | 0.265749i | ||||
\(718\) | 3.58130 | − | 11.0221i | 0.133653 | − | 0.411342i | ||||
\(719\) | −3.19887 | + | 1.03938i | −0.119298 | + | 0.0387622i | −0.368058 | − | 0.929803i | \(-0.619977\pi\) |
0.248760 | + | 0.968565i | \(0.419977\pi\) | |||||||
\(720\) | 0.671314 | − | 6.59715i | 0.0250184 | − | 0.245861i | ||||
\(721\) | −0.319241 | − | 0.439397i | −0.0118892 | − | 0.0163640i | ||||
\(722\) | −5.63181 | − | 17.3329i | −0.209594 | − | 0.645064i | ||||
\(723\) | −22.9003 | − | 18.4816i | −0.851673 | − | 0.687340i | ||||
\(724\) | 5.17028 | + | 3.75643i | 0.192152 | + | 0.139606i | ||||
\(725\) | 2.19540 | 0.0815350 | ||||||||
\(726\) | 6.82228 | + | 8.22932i | 0.253199 | + | 0.305419i | ||||
\(727\) | 20.2830 | 0.752254 | 0.376127 | − | 0.926568i | \(-0.377256\pi\) | ||||
0.376127 | + | 0.926568i | \(0.377256\pi\) | |||||||
\(728\) | −1.10326 | − | 0.801564i | −0.0408895 | − | 0.0297079i | ||||
\(729\) | 16.0864 | + | 21.6848i | 0.595791 | + | 0.803139i | ||||
\(730\) | −1.32354 | − | 4.07343i | −0.0489863 | − | 0.150764i | ||||
\(731\) | −0.401789 | − | 0.553015i | −0.0148607 | − | 0.0204540i | ||||
\(732\) | 0.645534 | + | 2.39331i | 0.0238596 | + | 0.0884594i | ||||
\(733\) | 32.0577 | − | 10.4162i | 1.18408 | − | 0.384730i | 0.350198 | − | 0.936676i | \(-0.386114\pi\) |
0.833880 | + | 0.551945i | \(0.186114\pi\) | |||||||
\(734\) | −4.31578 | + | 13.2826i | −0.159298 | + | 0.490270i | ||||
\(735\) | 10.0534 | − | 6.55241i | 0.370824 | − | 0.241689i | ||||
\(736\) | − | 35.3744i | − | 1.30392i | ||||||
\(737\) | 0.751392 | − | 1.16962i | 0.0276779 | − | 0.0430835i | ||||
\(738\) | −15.5633 | − | 13.9203i | −0.572894 | − | 0.512412i | ||||
\(739\) | 13.7763 | − | 18.9615i | 0.506770 | − | 0.697509i | −0.476601 | − | 0.879120i | \(-0.658131\pi\) |
0.983370 | + | 0.181611i | \(0.0581313\pi\) | |||||||
\(740\) | −1.93996 | − | 0.630333i | −0.0713145 | − | 0.0231715i | ||||
\(741\) | 1.55149 | − | 30.5724i | 0.0569954 | − | 1.12310i | ||||
\(742\) | 0.238034 | − | 0.172942i | 0.00873849 | − | 0.00634889i | ||||
\(743\) | −7.73729 | + | 5.62147i | −0.283854 | + | 0.206232i | −0.720597 | − | 0.693355i | \(-0.756132\pi\) |
0.436743 | + | 0.899586i | \(0.356132\pi\) | |||||||
\(744\) | −1.24484 | + | 24.5298i | −0.0456381 | + | 0.899307i | ||||
\(745\) | 10.9084 | + | 3.54434i | 0.399652 | + | 0.129855i | ||||
\(746\) | 7.36631 | − | 10.1389i | 0.269700 | − | 0.371210i | ||||
\(747\) | −5.79356 | − | 5.18192i | −0.211975 | − | 0.189597i | ||||
\(748\) | 19.6406 | − | 7.65057i | 0.718131 | − | 0.279732i | ||||
\(749\) | − | 3.62949i | − | 0.132619i | ||||||
\(750\) | −0.814119 | + | 0.530613i | −0.0297274 | + | 0.0193753i | ||||
\(751\) | 0.0841462 | − | 0.258975i | 0.00307054 | − | 0.00945014i | −0.949510 | − | 0.313738i | \(-0.898419\pi\) |
0.952580 | + | 0.304288i | \(0.0984186\pi\) | |||||||
\(752\) | −19.9998 | + | 6.49833i | −0.729318 | + | 0.236970i | ||||
\(753\) | −6.98513 | − | 25.8973i | −0.254552 | − | 0.943751i | ||||
\(754\) | 1.78332 | + | 2.45453i | 0.0649447 | + | 0.0893887i | ||||
\(755\) | 2.66513 | + | 8.20244i | 0.0969942 | + | 0.298517i | ||||
\(756\) | −0.378296 | − | 2.31404i | −0.0137585 | − | 0.0841607i | ||||
\(757\) | −21.5853 | − | 15.6826i | −0.784531 | − | 0.569995i | 0.121805 | − | 0.992554i | \(-0.461132\pi\) |
−0.906335 | + | 0.422559i | \(0.861132\pi\) | |||||||
\(758\) | −4.30228 | −0.156266 | ||||||||
\(759\) | 35.8761 | − | 11.9185i | 1.30222 | − | 0.432615i | ||||
\(760\) | 14.8355 | 0.538138 | ||||||||
\(761\) | −7.81465 | − | 5.67767i | −0.283281 | − | 0.205816i | 0.437066 | − | 0.899429i | \(-0.356017\pi\) |
−0.720347 | + | 0.693614i | \(0.756017\pi\) | |||||||
\(762\) | −15.4186 | − | 12.4436i | −0.558558 | − | 0.450782i | ||||
\(763\) | −0.641825 | − | 1.97533i | −0.0232356 | − | 0.0715119i | ||||
\(764\) | −13.6960 | − | 18.8509i | −0.495504 | − | 0.682003i | ||||
\(765\) | −1.14533 | + | 11.2554i | −0.0414096 | + | 0.406941i | ||||
\(766\) | 12.8207 | − | 4.16570i | 0.463231 | − | 0.150513i | ||||
\(767\) | −4.17928 | + | 12.8625i | −0.150905 | + | 0.464438i | ||||
\(768\) | 3.46528 | + | 5.31677i | 0.125043 | + | 0.191853i | ||||
\(769\) | − | 1.13921i | − | 0.0410809i | −0.999789 | − | 0.0205405i | \(-0.993461\pi\) | ||
0.999789 | − | 0.0205405i | \(-0.00653869\pi\) | |||||||
\(770\) | 0.481915 | + | 0.126587i | 0.0173670 | + | 0.00456188i | ||||
\(771\) | 14.2459 | − | 37.2962i | 0.513052 | − | 1.34319i | ||||
\(772\) | −7.46334 | + | 10.2724i | −0.268612 | + | 0.369712i | ||||
\(773\) | −34.5364 | − | 11.2215i | −1.24219 | − | 0.403611i | −0.387072 | − | 0.922050i | \(-0.626514\pi\) |
−0.855115 | + | 0.518439i | \(0.826514\pi\) | |||||||
\(774\) | 0.279122 | + | 0.123168i | 0.0100328 | + | 0.00442717i | ||||
\(775\) | −5.54859 | + | 4.03129i | −0.199311 | + | 0.144808i | ||||
\(776\) | 31.2789 | − | 22.7254i | 1.12285 | − | 0.815796i | ||||
\(777\) | −0.560650 | − | 0.0284519i | −0.0201132 | − | 0.00102071i | ||||
\(778\) | −14.0635 | − | 4.56951i | −0.504201 | − | 0.163825i | ||||
\(779\) | −52.3198 | + | 72.0120i | −1.87455 | + | 2.58010i | ||||
\(780\) | 6.71642 | + | 2.56544i | 0.240486 | + | 0.0918576i | ||||
\(781\) | 8.31771 | − | 0.477021i | 0.297631 | − | 0.0170691i | ||||
\(782\) | 13.9240i | 0.497920i | ||||||||
\(783\) | −1.72857 | + | 11.2759i | −0.0617741 | + | 0.402968i | ||||
\(784\) | 4.73239 | − | 14.5648i | 0.169014 | − | 0.520172i | ||||
\(785\) | 6.01249 | − | 1.95358i | 0.214595 | − | 0.0697261i | ||||
\(786\) | −13.6773 | + | 3.68910i | −0.487853 | + | 0.131586i | ||||
\(787\) | −7.74724 | − | 10.6632i | −0.276159 | − | 0.380101i | 0.648298 | − | 0.761387i | \(-0.275481\pi\) |
−0.924457 | + | 0.381286i | \(0.875481\pi\) | |||||||
\(788\) | −0.750853 | − | 2.31089i | −0.0267480 | − | 0.0823219i | ||||
\(789\) | −23.6174 | + | 29.2640i | −0.840803 | + | 1.04183i | ||||
\(790\) | 2.52658 | + | 1.83567i | 0.0898917 | + | 0.0653101i | ||||
\(791\) | 0.785314 | 0.0279225 | ||||||||
\(792\) | −12.8145 | + | 16.0939i | −0.455343 | + | 0.571870i | ||||
\(793\) | −2.09183 | −0.0742829 | ||||||||
\(794\) | 0.749577 | + | 0.544600i | 0.0266015 | + | 0.0193271i | ||||
\(795\) | −2.13040 | + | 2.63975i | −0.0755576 | + | 0.0936223i | ||||
\(796\) | −1.68748 | − | 5.19352i | −0.0598110 | − | 0.184079i | ||||
\(797\) | −15.4667 | − | 21.2880i | −0.547857 | − | 0.754061i | 0.441862 | − | 0.897083i | \(-0.354318\pi\) |
−0.989720 | + | 0.143022i | \(0.954318\pi\) | |||||||
\(798\) | 1.80263 | − | 0.486214i | 0.0638125 | − | 0.0172118i | ||||
\(799\) | 34.1218 | − | 11.0868i | 1.20714 | − | 0.392224i | ||||
\(800\) | −1.66108 | + | 5.11227i | −0.0587280 | + | 0.180746i | ||||
\(801\) | −21.3327 | + | 4.60827i | −0.753753 | + | 0.162825i | ||||
\(802\) | − | 5.21651i | − | 0.184201i | ||||||
\(803\) | 6.43246 | − | 24.4883i | 0.226997 | − | 0.864173i | ||||
\(804\) | 1.14293 | + | 0.436560i | 0.0403080 | + | 0.0153963i | ||||
\(805\) | 1.03576 | − | 1.42560i | 0.0365057 | − | 0.0502458i | ||||
\(806\) | −9.01423 | − | 2.92890i | −0.317513 | − | 0.103166i | ||||
\(807\) | −42.7605 | − | 2.17001i | −1.50524 | − | 0.0763880i | ||||
\(808\) | −17.6534 | + | 12.8260i | −0.621045 | + | 0.451216i | ||||
\(809\) | 25.8066 | − | 18.7496i | 0.907312 | − | 0.659201i | −0.0330214 | − | 0.999455i | \(-0.510513\pi\) |
0.940334 | + | 0.340254i | \(0.110513\pi\) | |||||||
\(810\) | −2.08430 | − | 4.59923i | −0.0732350 | − | 0.161600i | ||||
\(811\) | −30.0560 | − | 9.76580i | −1.05541 | − | 0.342923i | −0.270621 | − | 0.962686i | \(-0.587229\pi\) |
−0.784789 | + | 0.619763i | \(0.787229\pi\) | |||||||
\(812\) | 0.582301 | − | 0.801468i | 0.0204347 | − | 0.0281260i | ||||
\(813\) | 15.7541 | − | 41.2447i | 0.552520 | − | 1.44652i | ||||
\(814\) | 1.42604 | + | 1.74338i | 0.0499827 | + | 0.0611054i | ||||
\(815\) | − | 8.35891i | − | 0.292800i | ||||||
\(816\) | 7.88359 | + | 12.0958i | 0.275981 | + | 0.423437i | ||||
\(817\) | 0.401900 | − | 1.23692i | 0.0140607 | − | 0.0432744i | ||||
\(818\) | −7.00789 | + | 2.27700i | −0.245025 | + | 0.0796135i | ||||
\(819\) | 1.96851 | + | 0.200312i | 0.0687852 | + | 0.00699945i | ||||
\(820\) | −12.2882 | − | 16.9133i | −0.429123 | − | 0.590638i | ||||
\(821\) | −12.5257 | − | 38.5501i | −0.437149 | − | 1.34541i | −0.890868 | − | 0.454262i | \(-0.849903\pi\) |
0.453719 | − | 0.891145i | \(-0.350097\pi\) | |||||||
\(822\) | 2.77071 | + | 2.23609i | 0.0966395 | + | 0.0779926i | ||||
\(823\) | −2.68157 | − | 1.94827i | −0.0934736 | − | 0.0679125i | 0.540067 | − | 0.841622i | \(-0.318399\pi\) |
−0.633540 | + | 0.773710i | \(0.718399\pi\) | |||||||
\(824\) | −4.19380 | −0.146098 | ||||||||
\(825\) | −5.74444 | + | 0.0378144i | −0.199996 | + | 0.00131653i | ||||
\(826\) | −0.824875 | −0.0287011 | ||||||||
\(827\) | 32.3370 | + | 23.4942i | 1.12447 | + | 0.816973i | 0.984880 | − | 0.173237i | \(-0.0554227\pi\) |
0.139586 | + | 0.990210i | \(0.455423\pi\) | |||||||
\(828\) | 16.7306 | + | 28.7579i | 0.581427 | + | 0.999405i | ||||
\(829\) | −4.83903 | − | 14.8930i | −0.168067 | − | 0.517256i | 0.831183 | − | 0.556000i | \(-0.187664\pi\) |
−0.999249 | + | 0.0387437i | \(0.987664\pi\) | |||||||
\(830\) | 0.854443 | + | 1.17604i | 0.0296582 | + | 0.0408210i | ||||
\(831\) | −12.4421 | − | 46.1288i | −0.431610 | − | 1.60019i | ||||
\(832\) | 3.29125 | − | 1.06939i | 0.114104 | − | 0.0370745i | ||||
\(833\) | −8.07396 | + | 24.8491i | −0.279746 | + | 0.860970i | ||||
\(834\) | 9.08234 | − | 5.91954i | 0.314496 | − | 0.204977i | ||||
\(835\) | 20.8172i | 0.720410i | ||||||||
\(836\) | 33.7412 | + | 21.6762i | 1.16696 | + | 0.749686i | ||||
\(837\) | −16.3366 | − | 31.6725i | −0.564674 | − | 1.09476i | ||||
\(838\) | 12.1682 | − | 16.7481i | 0.420344 | − | 0.578554i | ||||
\(839\) | 22.4895 | + | 7.30729i | 0.776425 | + | 0.252276i | 0.670313 | − | 0.742078i | \(-0.266160\pi\) |
0.106112 | + | 0.994354i | \(0.466160\pi\) | |||||||
\(840\) | −0.0486012 | + | 0.957697i | −0.00167690 | + | 0.0330437i | ||||
\(841\) | 19.5622 | − | 14.2128i | 0.674559 | − | 0.490096i | ||||
\(842\) | 13.3268 | − | 9.68246i | 0.459271 | − | 0.333680i | ||||
\(843\) | −1.70147 | + | 33.5277i | −0.0586016 | + | 1.15476i | ||||
\(844\) | 26.8695 | + | 8.73043i | 0.924887 | + | 0.300514i | ||||
\(845\) | 4.07501 | − | 5.60876i | 0.140184 | − | 0.192947i | ||||
\(846\) | −10.6753 | + | 11.9354i | −0.367025 | + | 0.410347i | ||||
\(847\) | 1.99236 | + | 2.16937i | 0.0684585 | + | 0.0745403i | ||||
\(848\) | 4.32903i | 0.148659i | ||||||||
\(849\) | 23.0019 | − | 14.9918i | 0.789424 | − | 0.514518i | ||||
\(850\) | 0.653828 | − | 2.01228i | 0.0224261 | − | 0.0690205i | ||||
\(851\) | 7.57563 | − | 2.46147i | 0.259689 | − | 0.0843782i | ||||
\(852\) | 1.90945 | + | 7.07926i | 0.0654166 | + | 0.242532i | ||||
\(853\) | −13.3183 | − | 18.3310i | −0.456008 | − | 0.627642i | 0.517667 | − | 0.855582i | \(-0.326801\pi\) |
−0.973675 | + | 0.227941i | \(0.926801\pi\) | |||||||
\(854\) | −0.0394254 | − | 0.121339i | −0.00134911 | − | 0.00415214i | ||||
\(855\) | −18.6060 | + | 10.8244i | −0.636311 | + | 0.370188i | ||||
\(856\) | −22.6731 | − | 16.4730i | −0.774952 | − | 0.563036i | ||||
\(857\) | −32.2688 | −1.10228 | −0.551140 | − | 0.834413i | \(-0.685807\pi\) | ||||
−0.551140 | + | 0.834413i | \(0.685807\pi\) | |||||||
\(858\) | −4.70848 | − | 6.39176i | −0.160745 | − | 0.218211i | ||||
\(859\) | −5.71807 | −0.195098 | −0.0975491 | − | 0.995231i | \(-0.531100\pi\) | ||||
−0.0975491 | + | 0.995231i | \(0.531100\pi\) | |||||||
\(860\) | 0.247125 | + | 0.179547i | 0.00842688 | + | 0.00612249i | ||||
\(861\) | −4.47731 | − | 3.61340i | −0.152586 | − | 0.123144i | ||||
\(862\) | 5.88790 | + | 18.1211i | 0.200543 | + | 0.617207i | ||||
\(863\) | −28.7130 | − | 39.5200i | −0.977401 | − | 1.34528i | −0.938218 | − | 0.346046i | \(-0.887524\pi\) |
−0.0391838 | − | 0.999232i | \(-0.512476\pi\) | |||||||
\(864\) | −24.9495 | − | 12.5568i | −0.848800 | − | 0.427189i | ||||
\(865\) | −3.84569 | + | 1.24954i | −0.130758 | + | 0.0424857i | ||||
\(866\) | −5.92246 | + | 18.2275i | −0.201253 | + | 0.619394i | ||||
\(867\) | 2.62745 | + | 4.03130i | 0.0892329 | + | 0.136910i | ||||
\(868\) | 3.09486i | 0.105046i | ||||||||
\(869\) | 6.70087 | + | 17.2025i | 0.227311 | + | 0.583556i | ||||
\(870\) | 0.761253 | − | 1.99299i | 0.0258089 | − | 0.0675686i | ||||
\(871\) | −0.606858 | + | 0.835268i | −0.0205626 | + | 0.0283020i | ||||
\(872\) | −15.2528 | − | 4.95593i | −0.516524 | − | 0.167829i | ||||
\(873\) | −22.6474 | + | 51.3234i | −0.766497 | + | 1.73703i | ||||
\(874\) | −21.4327 | + | 15.5718i | −0.724972 | + | 0.526723i | ||||
\(875\) | −0.216629 | + | 0.157390i | −0.00732339 | + | 0.00532076i | ||||
\(876\) | 22.2540 | + | 1.12935i | 0.751895 | + | 0.0381572i | ||||
\(877\) | 21.9146 | + | 7.12047i | 0.740002 | + | 0.240441i | 0.654674 | − | 0.755912i | \(-0.272806\pi\) |
0.0853283 | + | 0.996353i | \(0.472806\pi\) | |||||||
\(878\) | −11.1190 | + | 15.3040i | −0.375249 | + | 0.516486i | ||||
\(879\) | 33.8266 | + | 12.9206i | 1.14094 | + | 0.435801i | ||||
\(880\) | −5.67452 | + | 4.64162i | −0.191288 | + | 0.156469i | ||||
\(881\) | 21.7744i | 0.733599i | 0.930300 | + | 0.366800i | \(0.119547\pi\) | ||||
−0.930300 | + | 0.366800i | \(0.880453\pi\) | |||||||
\(882\) | −2.46230 | − | 11.3985i | −0.0829098 | − | 0.383808i | ||||
\(883\) | −3.04912 | + | 9.38424i | −0.102611 | + | 0.315805i | −0.989162 | − | 0.146826i | \(-0.953094\pi\) |
0.886551 | + | 0.462631i | \(0.153094\pi\) | |||||||
\(884\) | −14.8879 | + | 4.83738i | −0.500735 | + | 0.162699i | ||||
\(885\) | 9.18199 | − | 2.47660i | 0.308649 | − | 0.0832502i | ||||
\(886\) | 2.66973 | + | 3.67457i | 0.0896914 | + | 0.123450i | ||||
\(887\) | −4.47768 | − | 13.7809i | −0.150346 | − | 0.462717i | 0.847314 | − | 0.531093i | \(-0.178218\pi\) |
−0.997660 | + | 0.0683756i | \(0.978218\pi\) | |||||||
\(888\) | −2.72233 | + | 3.37320i | −0.0913555 | + | 0.113197i | ||||
\(889\) | −4.41686 | − | 3.20904i | −0.148137 | − | 0.107628i | ||||
\(890\) | 4.08161 | 0.136816 | ||||||||
\(891\) | 4.32873 | − | 29.5341i | 0.145018 | − | 0.989429i | ||||
\(892\) | −38.3484 | −1.28400 | ||||||||
\(893\) | 55.2254 | + | 40.1236i | 1.84805 | + | 1.34269i | ||||
\(894\) | 7.00004 | − | 8.67364i | 0.234116 | − | 0.290090i | ||||
\(895\) | −0.543746 | − | 1.67348i | −0.0181754 | − | 0.0559382i | ||||
\(896\) | 1.81612 | + | 2.49967i | 0.0606723 | + | 0.0835083i | ||||
\(897\) | −27.1073 | + | 7.31150i | −0.905087 | + | 0.244124i | ||||
\(898\) | −1.61018 | + | 0.523181i | −0.0537325 | + | 0.0174588i | ||||
\(899\) | 4.65287 | − | 14.3201i | 0.155182 | − | 0.477601i | ||||
\(900\) | −1.06750 | − | 4.94167i | −0.0355832 | − | 0.164722i | ||||
\(901\) | − | 7.38577i | − | 0.246056i | ||||||
\(902\) | 1.32170 | + | 23.0463i | 0.0440079 | + | 0.767357i | ||||
\(903\) | 0.0785323 | + | 0.0299967i | 0.00261339 | + | 0.000998226i | ||||
\(904\) | 3.56427 | − | 4.90579i | 0.118546 | − | 0.163164i | ||||
\(905\) | 3.60667 | + | 1.17188i | 0.119890 | + | 0.0389545i | ||||
\(906\) | 8.37033 | + | 0.424778i | 0.278086 | + | 0.0141123i | ||||
\(907\) | 19.1998 | − | 13.9494i | 0.637518 | − | 0.463184i | −0.221479 | − | 0.975165i | \(-0.571088\pi\) |
0.858996 | + | 0.511982i | \(0.171088\pi\) | |||||||
\(908\) | 32.4932 | − | 23.6077i | 1.07833 | − | 0.783450i | ||||
\(909\) | 12.7819 | − | 28.9663i | 0.423949 | − | 0.960751i | ||||
\(910\) | −0.351935 | − | 0.114351i | −0.0116665 | − | 0.00379069i | ||||
\(911\) | 9.88739 | − | 13.6088i | 0.327584 | − | 0.450880i | −0.613180 | − | 0.789943i | \(-0.710110\pi\) |
0.940764 | + | 0.339063i | \(0.110110\pi\) | |||||||
\(912\) | −9.80207 | + | 25.6622i | −0.324579 | + | 0.849759i | ||||
\(913\) | 0.492014 | + | 8.57915i | 0.0162833 | + | 0.283928i | ||||
\(914\) | 1.17780i | 0.0389583i | ||||||||
\(915\) | 0.803168 | + | 1.23230i | 0.0265519 | + | 0.0407385i | ||||
\(916\) | −8.63241 | + | 26.5678i | −0.285223 | + | 0.877826i | ||||
\(917\) | −3.71237 | + | 1.20622i | −0.122593 | + | 0.0398329i | ||||
\(918\) | 9.82056 | + | 4.94255i | 0.324127 | + | 0.163128i | ||||
\(919\) | −5.09382 | − | 7.01104i | −0.168029 | − | 0.231273i | 0.716695 | − | 0.697386i | \(-0.245654\pi\) |
−0.884725 | + | 0.466114i | \(0.845654\pi\) | |||||||
\(920\) | −4.20466 | − | 12.9406i | −0.138624 | − | 0.426640i | ||||
\(921\) | 30.1004 | + | 24.2925i | 0.991843 | + | 0.800464i | ||||
\(922\) | 15.6106 | + | 11.3418i | 0.514108 | + | 0.373521i | ||||
\(923\) | −6.18748 | −0.203663 | ||||||||
\(924\) | −1.50983 | + | 2.10714i | −0.0496698 | + | 0.0693197i | ||||
\(925\) | −1.21041 | −0.0397979 | ||||||||
\(926\) | 9.81639 | + | 7.13202i | 0.322586 | + | 0.234373i | ||||
\(927\) | 5.25968 | − | 3.05994i | 0.172751 | − | 0.100502i | ||||
\(928\) | −3.64673 | − | 11.2235i | −0.119710 | − | 0.368428i | ||||
\(929\) | −5.75783 | − | 7.92497i | −0.188908 | − | 0.260010i | 0.704049 | − | 0.710151i | \(-0.251374\pi\) |
−0.892957 | + | 0.450141i | \(0.851374\pi\) | |||||||
\(930\) | 1.73564 | + | 6.43487i | 0.0569139 | + | 0.211008i | ||||
\(931\) | −47.2788 | + | 15.3618i | −1.54950 | + | 0.503463i | ||||
\(932\) | −1.27567 | + | 3.92610i | −0.0417858 | + | 0.128604i | ||||
\(933\) | −1.86643 | + | 1.21647i | −0.0611043 | + | 0.0398256i | ||||
\(934\) | 8.82053i | 0.288616i | ||||||||
\(935\) | 9.68133 | − | 7.91909i | 0.316613 | − | 0.258982i | ||||
\(936\) | 10.1857 | − | 11.3880i | 0.332930 | − | 0.372227i | ||||
\(937\) | 3.60653 | − | 4.96396i | 0.117820 | − | 0.162166i | −0.746033 | − | 0.665908i | \(-0.768044\pi\) |
0.863854 | + | 0.503743i | \(0.168044\pi\) | |||||||
\(938\) | −0.0598885 | − | 0.0194590i | −0.00195543 | − | 0.000635358i | ||||
\(939\) | −2.08262 | + | 41.0384i | −0.0679636 | + | 1.33924i | ||||
\(940\) | −12.9707 | + | 9.42373i | −0.423056 | + | 0.307368i | ||||
\(941\) | 0.827605 | − | 0.601290i | 0.0269792 | − | 0.0196015i | −0.574214 | − | 0.818705i | \(-0.694692\pi\) |
0.601193 | + | 0.799104i | \(0.294692\pi\) | |||||||
\(942\) | 0.311367 | − | 6.13555i | 0.0101449 | − | 0.199907i | ||||
\(943\) | 77.6429 | + | 25.2277i | 2.52840 | + | 0.821527i | ||||
\(944\) | 7.13372 | − | 9.81873i | 0.232183 | − | 0.319572i | ||||
\(945\) | −0.637814 | − | 1.23656i | −0.0207481 | − | 0.0402254i | ||||
\(946\) | −0.122424 | − | 0.314287i | −0.00398033 | − | 0.0102183i | ||||
\(947\) | 21.6769i | 0.704404i | 0.935924 | + | 0.352202i | \(0.114567\pi\) | ||||
−0.935924 | + | 0.352202i | \(0.885433\pi\) | |||||||
\(948\) | −13.6117 | + | 8.87162i | −0.442088 | + | 0.288137i | ||||
\(949\) | −5.81067 | + | 17.8834i | −0.188622 | + | 0.580520i | ||||
\(950\) | 3.82863 | − | 1.24400i | 0.124217 | − | 0.0403606i | ||||
\(951\) | −10.2613 | − | 38.0438i | −0.332746 | − | 1.23365i | ||||
\(952\) | −1.22722 | − | 1.68912i | −0.0397744 | − | 0.0547448i | ||||
\(953\) | −12.9538 | − | 39.8678i | −0.419616 | − | 1.29145i | −0.908056 | − | 0.418848i | \(-0.862434\pi\) |
0.488440 | − | 0.872598i | \(-0.337566\pi\) | |||||||
\(954\) | 1.65766 | + | 2.84932i | 0.0536686 | + | 0.0922500i | ||||
\(955\) | −11.1860 | − | 8.12714i | −0.361972 | − | 0.262988i | ||||
\(956\) | −8.26426 | −0.267285 | ||||||||
\(957\) | 10.1540 | − | 7.47991i | 0.328232 | − | 0.241791i | ||||
\(958\) | −5.92632 | −0.191471 | ||||||||
\(959\) | 0.793705 | + | 0.576660i | 0.0256301 | + | 0.0186213i | ||||
\(960\) | −1.89367 | − | 1.52828i | −0.0611181 | − | 0.0493252i | ||||
\(961\) | 4.95606 | + | 15.2532i | 0.159873 | + | 0.492038i | ||||
\(962\) | −0.983211 | − | 1.35327i | −0.0317000 | − | 0.0436313i | ||||
\(963\) | 40.4549 | + | 4.11662i | 1.30364 | + | 0.132656i | ||||
\(964\) | −27.2308 | + | 8.84782i | −0.877045 | + | 0.284969i | ||||
\(965\) | −2.32831 | + | 7.16580i | −0.0749509 | + | 0.230675i | ||||
\(966\) | −0.935015 | − | 1.43459i | −0.0300836 | − | 0.0461572i | ||||
\(967\) | 1.51551i | 0.0487355i | 0.999703 | + | 0.0243678i | \(0.00775727\pi\) | ||||
−0.999703 | + | 0.0243678i | \(0.992243\pi\) | |||||||
\(968\) | 22.5945 | − | 2.60014i | 0.726215 | − | 0.0835718i | ||||
\(969\) | 16.7234 | − | 43.7823i | 0.537232 | − | 1.40649i | ||||
\(970\) | 6.16665 | − | 8.48766i | 0.197999 | − | 0.272522i | ||||
\(971\) | 3.29270 | + | 1.06986i | 0.105668 | + | 0.0343336i | 0.361374 | − | 0.932421i | \(-0.382308\pi\) |
−0.255706 | + | 0.966755i | \(0.582308\pi\) | |||||||
\(972\) | 26.2217 | − | 1.59194i | 0.841061 | − | 0.0510616i | ||||
\(973\) | 2.41672 | − | 1.75585i | 0.0774764 | − | 0.0562899i | ||||
\(974\) | −16.3356 | + | 11.8685i | −0.523428 | + | 0.380293i | ||||
\(975\) | 4.26085 | + | 0.216230i | 0.136456 | + | 0.00692489i | ||||
\(976\) | 1.78530 | + | 0.580078i | 0.0571459 | + | 0.0185678i | ||||
\(977\) | 25.9758 | − | 35.7526i | 0.831039 | − | 1.14383i | −0.156690 | − | 0.987648i | \(-0.550082\pi\) |
0.987729 | − | 0.156179i | \(-0.0499177\pi\) | |||||||
\(978\) | −7.58824 | − | 2.89845i | −0.242645 | − | 0.0926822i | ||||
\(979\) | 20.3001 | + | 13.0413i | 0.648793 | + | 0.416801i | ||||
\(980\) | − | 11.6757i | − | 0.372967i | ||||||
\(981\) | 22.7454 | − | 4.91343i | 0.726203 | − | 0.156874i | ||||
\(982\) | 1.41053 | − | 4.34118i | 0.0450119 | − | 0.138532i | ||||
\(983\) | −25.7179 | + | 8.35625i | −0.820273 | + | 0.266523i | −0.688943 | − | 0.724816i | \(-0.741925\pi\) |
−0.131330 | + | 0.991339i | \(0.541925\pi\) | |||||||
\(984\) | −42.8936 | + | 11.5694i | −1.36740 | + | 0.368820i | ||||
\(985\) | −0.847490 | − | 1.16647i | −0.0270033 | − | 0.0371668i | ||||
\(986\) | 1.43541 | + | 4.41775i | 0.0457129 | + | 0.140690i | ||||
\(987\) | −2.77108 | + | 3.43361i | −0.0882045 | + | 0.109293i | ||||
\(988\) | −24.0958 | − | 17.5066i | −0.766590 | − | 0.556960i | ||||
\(989\) | −1.19284 | −0.0379302 | ||||||||
\(990\) | −1.95755 | + | 5.22793i | −0.0622152 | + | 0.166154i | ||||
\(991\) | −10.2731 | −0.326335 | −0.163168 | − | 0.986598i | \(-0.552171\pi\) | ||||
−0.163168 | + | 0.986598i | \(0.552171\pi\) | |||||||
\(992\) | 29.8257 | + | 21.6696i | 0.946966 | + | 0.688011i | ||||
\(993\) | 17.6104 | − | 21.8207i | 0.558848 | − | 0.692460i | ||||
\(994\) | −0.116618 | − | 0.358913i | −0.00369889 | − | 0.0113840i | ||||
\(995\) | −1.90466 | − | 2.62154i | −0.0603818 | − | 0.0831084i | ||||
\(996\) | −7.30178 | + | 1.96947i | −0.231366 | + | 0.0624049i | ||||
\(997\) | −38.2873 | + | 12.4403i | −1.21257 | + | 0.393988i | −0.844372 | − | 0.535758i | \(-0.820026\pi\) |
−0.368200 | + | 0.929747i | \(0.620026\pi\) | |||||||
\(998\) | 1.34806 | − | 4.14889i | 0.0426720 | − | 0.131331i | ||||
\(999\) | 0.953026 | − | 6.21683i | 0.0301524 | − | 0.196692i |
(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 | 165.2.p.a.161.2 | yes | 16 | |
3.2 | odd | 2 | inner | 165.2.p.a.161.3 | yes | 16 | |
5.2 | odd | 4 | 825.2.bs.f.524.3 | 16 | |||
5.3 | odd | 4 | 825.2.bs.e.524.2 | 16 | |||
5.4 | even | 2 | 825.2.bi.d.326.3 | 16 | |||
11.8 | odd | 10 | inner | 165.2.p.a.41.3 | yes | 16 | |
15.2 | even | 4 | 825.2.bs.e.524.1 | 16 | |||
15.8 | even | 4 | 825.2.bs.f.524.4 | 16 | |||
15.14 | odd | 2 | 825.2.bi.d.326.2 | 16 | |||
33.8 | even | 10 | inner | 165.2.p.a.41.2 | ✓ | 16 | |
55.8 | even | 20 | 825.2.bs.e.74.1 | 16 | |||
55.19 | odd | 10 | 825.2.bi.d.701.2 | 16 | |||
55.52 | even | 20 | 825.2.bs.f.74.4 | 16 | |||
165.8 | odd | 20 | 825.2.bs.f.74.3 | 16 | |||
165.74 | even | 10 | 825.2.bi.d.701.3 | 16 | |||
165.107 | odd | 20 | 825.2.bs.e.74.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.p.a.41.2 | ✓ | 16 | 33.8 | even | 10 | inner | |
165.2.p.a.41.3 | yes | 16 | 11.8 | odd | 10 | inner | |
165.2.p.a.161.2 | yes | 16 | 1.1 | even | 1 | trivial | |
165.2.p.a.161.3 | yes | 16 | 3.2 | odd | 2 | inner | |
825.2.bi.d.326.2 | 16 | 15.14 | odd | 2 | |||
825.2.bi.d.326.3 | 16 | 5.4 | even | 2 | |||
825.2.bi.d.701.2 | 16 | 55.19 | odd | 10 | |||
825.2.bi.d.701.3 | 16 | 165.74 | even | 10 | |||
825.2.bs.e.74.1 | 16 | 55.8 | even | 20 | |||
825.2.bs.e.74.2 | 16 | 165.107 | odd | 20 | |||
825.2.bs.e.524.1 | 16 | 15.2 | even | 4 | |||
825.2.bs.e.524.2 | 16 | 5.3 | odd | 4 | |||
825.2.bs.f.74.3 | 16 | 165.8 | odd | 20 | |||
825.2.bs.f.74.4 | 16 | 55.52 | even | 20 | |||
825.2.bs.f.524.3 | 16 | 5.2 | odd | 4 | |||
825.2.bs.f.524.4 | 16 | 15.8 | even | 4 |