Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(20,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.be (of order \(18\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 20.12 | ||
Character | \(\chi\) | \(=\) | 189.20 |
Dual form | 189.2.be.a.104.12 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0448460 | − | 0.123213i | −0.0317109 | − | 0.0871250i | 0.922827 | − | 0.385215i | \(-0.125873\pi\) |
−0.954538 | + | 0.298090i | \(0.903650\pi\) | |||||||
\(3\) | 1.62941 | + | 0.587383i | 0.940741 | + | 0.339125i | ||||
\(4\) | 1.51892 | − | 1.27452i | 0.759459 | − | 0.637262i | ||||
\(5\) | 0.231324 | + | 1.31190i | 0.103451 | + | 0.586701i | 0.991828 | + | 0.127585i | \(0.0407227\pi\) |
−0.888376 | + | 0.459116i | \(0.848166\pi\) | |||||||
\(6\) | −0.000699206 | − | 0.227107i | −0.000285450 | − | 0.0927161i | ||||
\(7\) | −0.772696 | − | 2.53040i | −0.292051 | − | 0.956403i | ||||
\(8\) | −0.452264 | − | 0.261115i | −0.159899 | − | 0.0923180i | ||||
\(9\) | 2.30996 | + | 1.91418i | 0.769988 | + | 0.638059i | ||||
\(10\) | 0.151270 | − | 0.0873359i | 0.0478358 | − | 0.0276180i | ||||
\(11\) | −4.31014 | − | 0.759994i | −1.29956 | − | 0.229147i | −0.519292 | − | 0.854597i | \(-0.673804\pi\) |
−0.780264 | + | 0.625450i | \(0.784915\pi\) | |||||||
\(12\) | 3.22358 | − | 1.18454i | 0.930566 | − | 0.341947i | ||||
\(13\) | −1.38870 | + | 3.81541i | −0.385155 | + | 1.05821i | 0.584000 | + | 0.811754i | \(0.301487\pi\) |
−0.969155 | + | 0.246452i | \(0.920735\pi\) | |||||||
\(14\) | −0.277127 | + | 0.208685i | −0.0740654 | + | 0.0557734i | ||||
\(15\) | −0.393667 | + | 2.27351i | −0.101645 | + | 0.587017i | ||||
\(16\) | 0.676731 | − | 3.83793i | 0.169183 | − | 0.959483i | ||||
\(17\) | 1.85685 | + | 3.21617i | 0.450353 | + | 0.780035i | 0.998408 | − | 0.0564079i | \(-0.0179647\pi\) |
−0.548055 | + | 0.836443i | \(0.684631\pi\) | |||||||
\(18\) | 0.132259 | − | 0.370462i | 0.0311738 | − | 0.0873186i | ||||
\(19\) | −4.31784 | − | 2.49291i | −0.990581 | − | 0.571912i | −0.0851328 | − | 0.996370i | \(-0.527131\pi\) |
−0.905448 | + | 0.424458i | \(0.860465\pi\) | |||||||
\(20\) | 2.02342 | + | 1.69785i | 0.452450 | + | 0.379650i | ||||
\(21\) | 0.227276 | − | 4.57694i | 0.0495956 | − | 0.998769i | ||||
\(22\) | 0.0996512 | + | 0.565150i | 0.0212457 | + | 0.120490i | ||||
\(23\) | 0.242663 | + | 0.289194i | 0.0505987 | + | 0.0603012i | 0.790750 | − | 0.612139i | \(-0.209691\pi\) |
−0.740152 | + | 0.672440i | \(0.765246\pi\) | |||||||
\(24\) | −0.583550 | − | 0.691115i | −0.119117 | − | 0.141073i | ||||
\(25\) | 3.03088 | − | 1.10315i | 0.606176 | − | 0.220630i | ||||
\(26\) | 0.532388 | 0.104410 | ||||||||
\(27\) | 2.63953 | + | 4.47581i | 0.507977 | + | 0.861370i | ||||
\(28\) | −4.39872 | − | 2.85866i | −0.831280 | − | 0.540236i | ||||
\(29\) | 1.57190 | + | 4.31876i | 0.291895 | + | 0.801974i | 0.995789 | + | 0.0916699i | \(0.0292204\pi\) |
−0.703895 | + | 0.710304i | \(0.748557\pi\) | |||||||
\(30\) | 0.297781 | − | 0.0534526i | 0.0543671 | − | 0.00975907i | ||||
\(31\) | −0.693448 | − | 0.826419i | −0.124547 | − | 0.148429i | 0.700168 | − | 0.713979i | \(-0.253109\pi\) |
−0.824714 | + | 0.565549i | \(0.808664\pi\) | |||||||
\(32\) | −1.53182 | + | 0.270102i | −0.270791 | + | 0.0477477i | ||||
\(33\) | −6.57659 | − | 3.77004i | −1.14484 | − | 0.656281i | ||||
\(34\) | 0.313002 | − | 0.373021i | 0.0536794 | − | 0.0639727i | ||||
\(35\) | 3.14090 | − | 1.59905i | 0.530910 | − | 0.270288i | ||||
\(36\) | 5.94831 | − | 0.0366271i | 0.991385 | − | 0.00610451i | ||||
\(37\) | −0.172576 | − | 0.298911i | −0.0283713 | − | 0.0491406i | 0.851491 | − | 0.524369i | \(-0.175699\pi\) |
−0.879862 | + | 0.475228i | \(0.842365\pi\) | |||||||
\(38\) | −0.113522 | + | 0.643813i | −0.0184156 | + | 0.104440i | ||||
\(39\) | −4.50387 | + | 5.40118i | −0.721196 | + | 0.864882i | ||||
\(40\) | 0.237938 | − | 0.653729i | 0.0376213 | − | 0.103364i | ||||
\(41\) | −5.09719 | − | 1.85523i | −0.796047 | − | 0.289738i | −0.0881999 | − | 0.996103i | \(-0.528111\pi\) |
−0.707848 | + | 0.706365i | \(0.750334\pi\) | |||||||
\(42\) | −0.574132 | + | 0.177254i | −0.0885905 | + | 0.0273509i | ||||
\(43\) | −0.390810 | + | 2.21639i | −0.0595979 | + | 0.337997i | −0.999998 | − | 0.00207394i | \(-0.999340\pi\) |
0.940400 | + | 0.340071i | \(0.110451\pi\) | |||||||
\(44\) | −7.51538 | + | 4.33901i | −1.13299 | + | 0.654130i | ||||
\(45\) | −1.97686 | + | 3.47325i | −0.294694 | + | 0.517761i | ||||
\(46\) | 0.0247502 | − | 0.0428686i | 0.00364921 | − | 0.00632062i | ||||
\(47\) | −9.77186 | − | 8.19957i | −1.42537 | − | 1.19603i | −0.948386 | − | 0.317119i | \(-0.897284\pi\) |
−0.476987 | − | 0.878910i | \(-0.658271\pi\) | |||||||
\(48\) | 3.35701 | − | 5.85607i | 0.484542 | − | 0.845251i | ||||
\(49\) | −5.80588 | + | 3.91046i | −0.829412 | + | 0.558638i | ||||
\(50\) | −0.271846 | − | 0.323973i | −0.0384448 | − | 0.0458167i | ||||
\(51\) | 1.13646 | + | 6.33114i | 0.159136 | + | 0.886537i | ||||
\(52\) | 2.75352 | + | 7.56523i | 0.381844 | + | 1.04911i | ||||
\(53\) | − | 9.19872i | − | 1.26354i | −0.775155 | − | 0.631771i | \(-0.782328\pi\) | ||
0.775155 | − | 0.631771i | \(-0.217672\pi\) | |||||||
\(54\) | 0.433108 | − | 0.525947i | 0.0589385 | − | 0.0715724i | ||||
\(55\) | − | 5.83030i | − | 0.786157i | ||||||
\(56\) | −0.311263 | + | 1.34617i | −0.0415943 | + | 0.179890i | ||||
\(57\) | −5.57125 | − | 6.59819i | −0.737930 | − | 0.873952i | ||||
\(58\) | 0.461636 | − | 0.387359i | 0.0606158 | − | 0.0508627i | ||||
\(59\) | 2.24314 | + | 12.7215i | 0.292032 | + | 1.65620i | 0.679026 | + | 0.734115i | \(0.262403\pi\) |
−0.386993 | + | 0.922082i | \(0.626486\pi\) | |||||||
\(60\) | 2.29969 | + | 3.95501i | 0.296889 | + | 0.510590i | ||||
\(61\) | 1.14717 | − | 1.36715i | 0.146880 | − | 0.175045i | −0.687588 | − | 0.726101i | \(-0.741330\pi\) |
0.834468 | + | 0.551056i | \(0.185775\pi\) | |||||||
\(62\) | −0.0707275 | + | 0.122504i | −0.00898240 | + | 0.0155580i | ||||
\(63\) | 3.05874 | − | 7.32421i | 0.385365 | − | 0.922764i | ||||
\(64\) | −3.79516 | − | 6.57342i | −0.474395 | − | 0.821677i | ||||
\(65\) | −5.32670 | − | 0.939241i | −0.660696 | − | 0.116498i | ||||
\(66\) | −0.169586 | + | 0.979395i | −0.0208746 | + | 0.120555i | ||||
\(67\) | 5.40821 | + | 1.96843i | 0.660718 | + | 0.240482i | 0.650546 | − | 0.759467i | \(-0.274540\pi\) |
0.0101714 | + | 0.999948i | \(0.496762\pi\) | |||||||
\(68\) | 6.91949 | + | 2.51849i | 0.839111 | + | 0.305412i | ||||
\(69\) | 0.225530 | + | 0.613753i | 0.0271506 | + | 0.0738872i | ||||
\(70\) | −0.337881 | − | 0.315291i | −0.0403845 | − | 0.0376844i | ||||
\(71\) | 2.30444 | − | 1.33047i | 0.273487 | − | 0.157898i | −0.356984 | − | 0.934110i | \(-0.616195\pi\) |
0.630471 | + | 0.776213i | \(0.282862\pi\) | |||||||
\(72\) | −0.544894 | − | 1.46888i | −0.0642164 | − | 0.173109i | ||||
\(73\) | 4.63485 | + | 2.67593i | 0.542469 | + | 0.313194i | 0.746079 | − | 0.665858i | \(-0.231934\pi\) |
−0.203610 | + | 0.979052i | \(0.565268\pi\) | |||||||
\(74\) | −0.0290904 | + | 0.0346686i | −0.00338169 | + | 0.00403015i | ||||
\(75\) | 5.58652 | − | 0.0171995i | 0.645076 | − | 0.00198603i | ||||
\(76\) | −9.73572 | + | 1.71667i | −1.11676 | + | 0.196916i | ||||
\(77\) | 1.40733 | + | 11.4936i | 0.160381 | + | 1.30982i | ||||
\(78\) | 0.867479 | + | 0.312715i | 0.0982226 | + | 0.0354080i | ||||
\(79\) | 5.48206 | − | 1.99531i | 0.616780 | − | 0.224489i | −0.0146875 | − | 0.999892i | \(-0.504675\pi\) |
0.631467 | + | 0.775403i | \(0.282453\pi\) | |||||||
\(80\) | 5.19155 | 0.580432 | ||||||||
\(81\) | 1.67186 | + | 8.84335i | 0.185763 | + | 0.982595i | ||||
\(82\) | 0.711242i | 0.0785435i | ||||||||
\(83\) | 4.03800 | − | 1.46971i | 0.443228 | − | 0.161322i | −0.110759 | − | 0.993847i | \(-0.535328\pi\) |
0.553987 | + | 0.832526i | \(0.313106\pi\) | |||||||
\(84\) | −5.48820 | − | 7.24166i | −0.598812 | − | 0.790130i | ||||
\(85\) | −3.78977 | + | 3.17999i | −0.411058 | + | 0.344918i | ||||
\(86\) | 0.290615 | − | 0.0512433i | 0.0313379 | − | 0.00552571i | ||||
\(87\) | 0.0245079 | + | 7.96035i | 0.00262753 | + | 0.853439i | ||||
\(88\) | 1.75088 | + | 1.46916i | 0.186644 | + | 0.156613i | ||||
\(89\) | 5.59352 | − | 9.68826i | 0.592912 | − | 1.02695i | −0.400926 | − | 0.916110i | \(-0.631312\pi\) |
0.993838 | − | 0.110843i | \(-0.0353550\pi\) | |||||||
\(90\) | 0.516605 | + | 0.0878150i | 0.0544549 | + | 0.00925652i | ||||
\(91\) | 10.7276 | + | 0.565811i | 1.12456 | + | 0.0593131i | ||||
\(92\) | 0.737171 | + | 0.129983i | 0.0768554 | + | 0.0135517i | ||||
\(93\) | −0.644488 | − | 1.75390i | −0.0668303 | − | 0.181871i | ||||
\(94\) | −0.572067 | + | 1.57174i | −0.0590042 | + | 0.162113i | ||||
\(95\) | 2.27163 | − | 6.24126i | 0.233065 | − | 0.640340i | ||||
\(96\) | −2.65463 | − | 0.459660i | −0.270937 | − | 0.0469138i | ||||
\(97\) | 14.5132 | + | 2.55906i | 1.47359 | + | 0.259833i | 0.852013 | − | 0.523521i | \(-0.175382\pi\) |
0.621575 | + | 0.783354i | \(0.286493\pi\) | |||||||
\(98\) | 0.742192 | + | 0.539994i | 0.0749727 | + | 0.0545476i | ||||
\(99\) | −8.50151 | − | 10.0059i | −0.854434 | − | 1.00563i | ||||
\(100\) | 3.19767 | − | 5.53853i | 0.319767 | − | 0.553853i | ||||
\(101\) | −9.33893 | − | 7.83629i | −0.929258 | − | 0.779740i | 0.0464262 | − | 0.998922i | \(-0.485217\pi\) |
−0.975684 | + | 0.219182i | \(0.929661\pi\) | |||||||
\(102\) | 0.729116 | − | 0.423953i | 0.0721932 | − | 0.0419776i | ||||
\(103\) | 8.85590 | − | 1.56153i | 0.872597 | − | 0.153862i | 0.280622 | − | 0.959818i | \(-0.409459\pi\) |
0.591976 | + | 0.805956i | \(0.298348\pi\) | |||||||
\(104\) | 1.62432 | − | 1.36297i | 0.159278 | − | 0.133650i | ||||
\(105\) | 6.05708 | − | 0.760592i | 0.591110 | − | 0.0742262i | ||||
\(106\) | −1.13341 | + | 0.412526i | −0.110086 | + | 0.0400680i | ||||
\(107\) | − | 18.2346i | − | 1.76280i | −0.472370 | − | 0.881401i | \(-0.656601\pi\) | ||
0.472370 | − | 0.881401i | \(-0.343399\pi\) | |||||||
\(108\) | 9.71376 | + | 3.43425i | 0.934707 | + | 0.330461i | ||||
\(109\) | −10.0889 | −0.966342 | −0.483171 | − | 0.875526i | \(-0.660515\pi\) | ||||
−0.483171 | + | 0.875526i | \(0.660515\pi\) | |||||||
\(110\) | −0.718371 | + | 0.261466i | −0.0684940 | + | 0.0249298i | ||||
\(111\) | −0.105623 | − | 0.588416i | −0.0100253 | − | 0.0558500i | ||||
\(112\) | −10.2344 | + | 1.25315i | −0.967062 | + | 0.118412i | ||||
\(113\) | 16.1779 | − | 2.85260i | 1.52189 | − | 0.268350i | 0.650714 | − | 0.759323i | \(-0.274470\pi\) |
0.871175 | + | 0.490973i | \(0.163359\pi\) | |||||||
\(114\) | −0.563138 | + | 0.982355i | −0.0527427 | + | 0.0920060i | ||||
\(115\) | −0.323262 | + | 0.385248i | −0.0301443 | + | 0.0359246i | ||||
\(116\) | 7.89196 | + | 4.55642i | 0.732750 | + | 0.423053i | ||||
\(117\) | −10.5112 | + | 6.15526i | −0.971762 | + | 0.569054i | ||||
\(118\) | 1.46686 | − | 0.846893i | 0.135036 | − | 0.0779628i | ||||
\(119\) | 6.70341 | − | 7.18371i | 0.614501 | − | 0.658529i | ||||
\(120\) | 0.771688 | − | 0.925433i | 0.0704452 | − | 0.0844801i | ||||
\(121\) | 7.66310 | + | 2.78914i | 0.696646 | + | 0.253558i | ||||
\(122\) | −0.219897 | − | 0.0800359i | −0.0199085 | − | 0.00724611i | ||||
\(123\) | −7.21569 | − | 6.01693i | −0.650617 | − | 0.542528i | ||||
\(124\) | −2.10658 | − | 0.371447i | −0.189177 | − | 0.0333569i | ||||
\(125\) | 5.47870 | + | 9.48939i | 0.490030 | + | 0.848757i | ||||
\(126\) | −1.03961 | − | 0.0484157i | −0.0926161 | − | 0.00431321i | ||||
\(127\) | −10.9612 | + | 18.9854i | −0.972652 | + | 1.68468i | −0.285175 | + | 0.958475i | \(0.592052\pi\) |
−0.687476 | + | 0.726207i | \(0.741281\pi\) | |||||||
\(128\) | −2.63939 | + | 3.14550i | −0.233291 | + | 0.278026i | ||||
\(129\) | −1.93866 | + | 3.38186i | −0.170689 | + | 0.297756i | ||||
\(130\) | 0.123154 | + | 0.698442i | 0.0108013 | + | 0.0612574i | ||||
\(131\) | −8.67264 | + | 7.27721i | −0.757732 | + | 0.635813i | −0.937535 | − | 0.347890i | \(-0.886898\pi\) |
0.179803 | + | 0.983703i | \(0.442454\pi\) | |||||||
\(132\) | −14.7943 | + | 2.65563i | −1.28768 | + | 0.231143i | ||||
\(133\) | −2.97168 | + | 12.8521i | −0.257678 | + | 1.11442i | ||||
\(134\) | − | 0.754639i | − | 0.0651909i | ||||||
\(135\) | −5.26125 | + | 4.49817i | −0.452816 | + | 0.387141i | ||||
\(136\) | − | 1.93941i | − | 0.166303i | ||||||
\(137\) | 3.91826 | + | 10.7653i | 0.334760 | + | 0.919745i | 0.986855 | + | 0.161608i | \(0.0516680\pi\) |
−0.652095 | + | 0.758137i | \(0.726110\pi\) | |||||||
\(138\) | 0.0655084 | − | 0.0553127i | 0.00557645 | − | 0.00470853i | ||||
\(139\) | 9.59685 | + | 11.4371i | 0.813994 | + | 0.970081i | 0.999922 | − | 0.0124827i | \(-0.00397348\pi\) |
−0.185928 | + | 0.982563i | \(0.559529\pi\) | |||||||
\(140\) | 2.73275 | − | 6.43198i | 0.230960 | − | 0.543601i | ||||
\(141\) | −11.1061 | − | 19.1003i | −0.935303 | − | 1.60853i | ||||
\(142\) | −0.267277 | − | 0.224272i | −0.0224294 | − | 0.0188205i | ||||
\(143\) | 8.88517 | − | 15.3896i | 0.743016 | − | 1.28694i | ||||
\(144\) | 8.90970 | − | 7.57010i | 0.742475 | − | 0.630842i | ||||
\(145\) | −5.30219 | + | 3.06122i | −0.440322 | + | 0.254220i | ||||
\(146\) | 0.121856 | − | 0.691081i | 0.0100849 | − | 0.0571943i | ||||
\(147\) | −11.7571 | + | 2.96148i | −0.969710 | + | 0.244259i | ||||
\(148\) | −0.643098 | − | 0.234068i | −0.0528623 | − | 0.0192403i | ||||
\(149\) | −1.04227 | + | 2.86360i | −0.0853857 | + | 0.234595i | −0.975036 | − | 0.222047i | \(-0.928726\pi\) |
0.889650 | + | 0.456643i | \(0.150948\pi\) | |||||||
\(150\) | −0.252653 | − | 0.687563i | −0.0206290 | − | 0.0561393i | ||||
\(151\) | −0.106414 | + | 0.603503i | −0.00865984 | + | 0.0491124i | −0.988831 | − | 0.149038i | \(-0.952382\pi\) |
0.980172 | + | 0.198150i | \(0.0634934\pi\) | |||||||
\(152\) | 1.30187 | + | 2.25490i | 0.105596 | + | 0.182897i | ||||
\(153\) | −1.86704 | + | 10.9836i | −0.150941 | + | 0.887969i | ||||
\(154\) | 1.35306 | − | 0.688846i | 0.109032 | − | 0.0555088i | ||||
\(155\) | 0.923771 | − | 1.10091i | 0.0741991 | − | 0.0884270i | ||||
\(156\) | 0.0429309 | + | 13.9442i | 0.00343722 | + | 1.11643i | ||||
\(157\) | −1.89383 | + | 0.333933i | −0.151144 | + | 0.0266507i | −0.248708 | − | 0.968579i | \(-0.580006\pi\) |
0.0975643 | + | 0.995229i | \(0.468895\pi\) | |||||||
\(158\) | −0.491697 | − | 0.585981i | −0.0391173 | − | 0.0466182i | ||||
\(159\) | 5.40317 | − | 14.9885i | 0.428499 | − | 1.18867i | ||||
\(160\) | −0.708696 | − | 1.94713i | −0.0560273 | − | 0.153934i | ||||
\(161\) | 0.544274 | − | 0.837495i | 0.0428948 | − | 0.0660038i | ||||
\(162\) | 1.01464 | − | 0.602585i | 0.0797179 | − | 0.0473435i | ||||
\(163\) | 14.3745 | 1.12590 | 0.562949 | − | 0.826492i | \(-0.309667\pi\) | ||||
0.562949 | + | 0.826492i | \(0.309667\pi\) | |||||||
\(164\) | −10.1067 | + | 3.67856i | −0.789204 | + | 0.287247i | ||||
\(165\) | 3.42461 | − | 9.49995i | 0.266606 | − | 0.739570i | ||||
\(166\) | −0.362176 | − | 0.431625i | −0.0281103 | − | 0.0335006i | ||||
\(167\) | −2.72667 | − | 15.4637i | −0.210996 | − | 1.19662i | −0.887720 | − | 0.460383i | \(-0.847712\pi\) |
0.676724 | − | 0.736237i | \(-0.263399\pi\) | |||||||
\(168\) | −1.29789 | + | 2.01064i | −0.100135 | + | 0.155124i | ||||
\(169\) | −2.67033 | − | 2.24067i | −0.205410 | − | 0.172359i | ||||
\(170\) | 0.561773 | + | 0.324340i | 0.0430861 | + | 0.0248757i | ||||
\(171\) | −5.20219 | − | 14.0236i | −0.397822 | − | 1.07241i | ||||
\(172\) | 2.23124 | + | 3.86462i | 0.170130 | + | 0.294674i | ||||
\(173\) | −0.759414 | + | 4.30685i | −0.0577372 | + | 0.327444i | −0.999972 | − | 0.00750984i | \(-0.997610\pi\) |
0.942235 | + | 0.334954i | \(0.108721\pi\) | |||||||
\(174\) | 0.979723 | − | 0.360010i | 0.0742726 | − | 0.0272923i | ||||
\(175\) | −5.13336 | − | 6.81695i | −0.388046 | − | 0.515313i | ||||
\(176\) | −5.83361 | + | 16.0277i | −0.439725 | + | 1.20813i | ||||
\(177\) | −3.81738 | + | 22.0461i | −0.286932 | + | 1.65709i | ||||
\(178\) | −1.44457 | − | 0.254717i | −0.108275 | − | 0.0190918i | ||||
\(179\) | −12.1181 | + | 6.99637i | −0.905747 | + | 0.522933i | −0.879060 | − | 0.476710i | \(-0.841829\pi\) |
−0.0266868 | + | 0.999644i | \(0.508496\pi\) | |||||||
\(180\) | 1.42404 | + | 7.79514i | 0.106142 | + | 0.581015i | ||||
\(181\) | −18.7936 | − | 10.8505i | −1.39691 | − | 0.806509i | −0.402846 | − | 0.915268i | \(-0.631979\pi\) |
−0.994068 | + | 0.108759i | \(0.965312\pi\) | |||||||
\(182\) | −0.411374 | − | 1.34716i | −0.0304930 | − | 0.0998578i | ||||
\(183\) | 2.67225 | − | 1.55381i | 0.197539 | − | 0.114861i | ||||
\(184\) | −0.0342348 | − | 0.194155i | −0.00252382 | − | 0.0143133i | ||||
\(185\) | 0.352221 | − | 0.295548i | 0.0258958 | − | 0.0217292i | ||||
\(186\) | −0.187201 | + | 0.158065i | −0.0137262 | + | 0.0115899i | ||||
\(187\) | −5.55904 | − | 15.2733i | −0.406517 | − | 1.11690i | ||||
\(188\) | −25.2932 | −1.84470 | ||||||||
\(189\) | 9.28606 | − | 10.1375i | 0.675461 | − | 0.737395i | ||||
\(190\) | −0.870881 | −0.0631803 | ||||||||
\(191\) | −7.16981 | − | 19.6989i | −0.518789 | − | 1.42536i | −0.871855 | − | 0.489763i | \(-0.837083\pi\) |
0.353066 | − | 0.935598i | \(-0.385139\pi\) | |||||||
\(192\) | −2.32277 | − | 12.9400i | −0.167632 | − | 0.933865i | ||||
\(193\) | 1.16810 | − | 0.980152i | 0.0840817 | − | 0.0705529i | −0.599778 | − | 0.800166i | \(-0.704744\pi\) |
0.683860 | + | 0.729614i | \(0.260300\pi\) | |||||||
\(194\) | −0.335547 | − | 1.90298i | −0.0240908 | − | 0.136626i | ||||
\(195\) | −8.12769 | − | 4.65922i | −0.582036 | − | 0.333654i | ||||
\(196\) | −3.83468 | + | 13.3394i | −0.273906 | + | 0.952815i | ||||
\(197\) | 21.6293 | + | 12.4877i | 1.54102 | + | 0.889709i | 0.998775 | + | 0.0494899i | \(0.0157596\pi\) |
0.542247 | + | 0.840219i | \(0.317574\pi\) | |||||||
\(198\) | −0.851605 | + | 1.49623i | −0.0605210 | + | 0.106332i | ||||
\(199\) | 0.716693 | − | 0.413783i | 0.0508050 | − | 0.0293323i | −0.474382 | − | 0.880319i | \(-0.657329\pi\) |
0.525187 | + | 0.850987i | \(0.323995\pi\) | |||||||
\(200\) | −1.65881 | − | 0.292492i | −0.117295 | − | 0.0206823i | ||||
\(201\) | 7.65597 | + | 6.38406i | 0.540011 | + | 0.450297i | ||||
\(202\) | −0.546722 | + | 1.50211i | −0.0384672 | + | 0.105688i | ||||
\(203\) | 9.71361 | − | 7.31463i | 0.681762 | − | 0.513387i | ||||
\(204\) | 9.79538 | + | 8.16804i | 0.685814 | + | 0.571877i | ||||
\(205\) | 1.25478 | − | 7.11618i | 0.0876373 | − | 0.497016i | ||||
\(206\) | −0.589553 | − | 1.02114i | −0.0410761 | − | 0.0711460i | ||||
\(207\) | 0.00697361 | + | 1.13253i | 0.000484700 | + | 0.0787162i | ||||
\(208\) | 13.7035 | + | 7.91174i | 0.950169 | + | 0.548580i | ||||
\(209\) | 16.7159 | + | 14.0263i | 1.15626 | + | 0.970220i | ||||
\(210\) | −0.365351 | − | 0.712203i | −0.0252116 | − | 0.0491467i | ||||
\(211\) | 1.02986 | + | 5.84064i | 0.0708987 | + | 0.402086i | 0.999518 | + | 0.0310519i | \(0.00988572\pi\) |
−0.928619 | + | 0.371034i | \(0.879003\pi\) | |||||||
\(212\) | −11.7240 | − | 13.9721i | −0.805207 | − | 0.959608i | ||||
\(213\) | 4.53638 | − | 0.814294i | 0.310827 | − | 0.0557945i | ||||
\(214\) | −2.24674 | + | 0.817747i | −0.153584 | + | 0.0559000i | ||||
\(215\) | −2.99810 | −0.204469 | ||||||||
\(216\) | −0.0250629 | − | 2.71347i | −0.00170532 | − | 0.184628i | ||||
\(217\) | −1.55535 | + | 2.39327i | −0.105584 | + | 0.162466i | ||||
\(218\) | 0.452447 | + | 1.24309i | 0.0306436 | + | 0.0841926i | ||||
\(219\) | 5.98029 | + | 7.08263i | 0.404110 | + | 0.478600i | ||||
\(220\) | −7.43085 | − | 8.85575i | −0.500988 | − | 0.597054i | ||||
\(221\) | −14.8496 | + | 2.61839i | −0.998893 | + | 0.176132i | ||||
\(222\) | −0.0677640 | + | 0.0394022i | −0.00454802 | + | 0.00264451i | ||||
\(223\) | 9.34376 | − | 11.1355i | 0.625705 | − | 0.745686i | −0.356336 | − | 0.934358i | \(-0.615974\pi\) |
0.982040 | + | 0.188672i | \(0.0604184\pi\) | |||||||
\(224\) | 1.86710 | + | 3.66743i | 0.124751 | + | 0.245040i | ||||
\(225\) | 9.11285 | + | 3.25340i | 0.607523 | + | 0.216893i | ||||
\(226\) | −1.07699 | − | 1.86541i | −0.0716405 | − | 0.124085i | ||||
\(227\) | 1.15766 | − | 6.56541i | 0.0768366 | − | 0.435762i | −0.921985 | − | 0.387226i | \(-0.873433\pi\) |
0.998821 | − | 0.0485359i | \(-0.0154555\pi\) | |||||||
\(228\) | −16.8718 | − | 2.92143i | −1.11736 | − | 0.193476i | ||||
\(229\) | −6.09035 | + | 16.7331i | −0.402462 | + | 1.10575i | 0.558604 | + | 0.829434i | \(0.311337\pi\) |
−0.961066 | + | 0.276320i | \(0.910885\pi\) | |||||||
\(230\) | 0.0619647 | + | 0.0225533i | 0.00408583 | + | 0.00148712i | ||||
\(231\) | −4.45804 | + | 19.5545i | −0.293317 | + | 1.28659i | ||||
\(232\) | 0.416778 | − | 2.36367i | 0.0273628 | − | 0.155182i | ||||
\(233\) | −13.8987 | + | 8.02444i | −0.910537 | + | 0.525699i | −0.880604 | − | 0.473853i | \(-0.842863\pi\) |
−0.0299330 | + | 0.999552i | \(0.509529\pi\) | |||||||
\(234\) | 1.22980 | + | 1.01908i | 0.0803943 | + | 0.0666196i | ||||
\(235\) | 8.49658 | − | 14.7165i | 0.554256 | − | 0.959999i | ||||
\(236\) | 19.6210 | + | 16.4640i | 1.27722 | + | 1.07171i | ||||
\(237\) | 10.1045 | − | 0.0311094i | 0.656360 | − | 0.00202077i | ||||
\(238\) | −1.18575 | − | 0.503790i | −0.0768608 | − | 0.0326558i | ||||
\(239\) | −1.31201 | − | 1.56359i | −0.0848668 | − | 0.101140i | 0.721940 | − | 0.691956i | \(-0.243251\pi\) |
−0.806807 | + | 0.590815i | \(0.798806\pi\) | |||||||
\(240\) | 8.45916 | + | 3.04942i | 0.546037 | + | 0.196839i | ||||
\(241\) | −3.55423 | − | 9.76517i | −0.228948 | − | 0.629030i | 0.771021 | − | 0.636809i | \(-0.219746\pi\) |
−0.999970 | + | 0.00777897i | \(0.997524\pi\) | |||||||
\(242\) | − | 1.06928i | − | 0.0687359i | ||||||
\(243\) | −2.47028 | + | 15.3915i | −0.158468 | + | 0.987364i | ||||
\(244\) | − | 3.53868i | − | 0.226541i | ||||||
\(245\) | −6.47319 | − | 6.71218i | −0.413557 | − | 0.428825i | ||||
\(246\) | −0.417771 | + | 1.15891i | −0.0266361 | + | 0.0738891i | ||||
\(247\) | 15.5076 | − | 13.0125i | 0.986728 | − | 0.827963i | ||||
\(248\) | 0.0978313 | + | 0.554829i | 0.00621230 | + | 0.0352317i | ||||
\(249\) | 7.44285 | − | 0.0229147i | 0.471671 | − | 0.00145216i | ||||
\(250\) | 0.923522 | − | 1.10061i | 0.0584086 | − | 0.0696087i | ||||
\(251\) | −11.7343 | + | 20.3243i | −0.740660 | + | 1.28286i | 0.211535 | + | 0.977370i | \(0.432154\pi\) |
−0.952195 | + | 0.305490i | \(0.901180\pi\) | |||||||
\(252\) | −4.68891 | − | 15.0233i | −0.295374 | − | 0.946380i | ||||
\(253\) | −0.826126 | − | 1.43089i | −0.0519381 | − | 0.0899594i | ||||
\(254\) | 2.83082 | + | 0.499151i | 0.177622 | + | 0.0313195i | ||||
\(255\) | −8.04296 | + | 2.95547i | −0.503670 | + | 0.185079i | ||||
\(256\) | −13.7592 | − | 5.00794i | −0.859951 | − | 0.312996i | ||||
\(257\) | −4.71223 | − | 1.71511i | −0.293941 | − | 0.106986i | 0.190841 | − | 0.981621i | \(-0.438879\pi\) |
−0.484781 | + | 0.874635i | \(0.661101\pi\) | |||||||
\(258\) | 0.503632 | + | 0.0872059i | 0.0313547 | + | 0.00542920i | ||||
\(259\) | −0.623015 | + | 0.667654i | −0.0387123 | + | 0.0414860i | ||||
\(260\) | −9.28790 | + | 5.36237i | −0.576011 | + | 0.332560i | ||||
\(261\) | −4.63584 | + | 12.9851i | −0.286951 | + | 0.803756i | ||||
\(262\) | 1.28558 | + | 0.742232i | 0.0794236 | + | 0.0458552i | ||||
\(263\) | 3.92830 | − | 4.68156i | 0.242229 | − | 0.288678i | −0.631209 | − | 0.775613i | \(-0.717441\pi\) |
0.873438 | + | 0.486935i | \(0.161885\pi\) | |||||||
\(264\) | 1.98994 | + | 3.42230i | 0.122472 | + | 0.210628i | ||||
\(265\) | 12.0678 | − | 2.12789i | 0.741321 | − | 0.130715i | ||||
\(266\) | 1.71682 | − | 0.210216i | 0.105265 | − | 0.0128892i | ||||
\(267\) | 14.8049 | − | 12.5006i | 0.906042 | − | 0.765026i | ||||
\(268\) | 10.7234 | − | 3.90301i | 0.655038 | − | 0.238414i | ||||
\(269\) | −4.75791 | −0.290095 | −0.145048 | − | 0.989425i | \(-0.546334\pi\) | ||||
−0.145048 | + | 0.989425i | \(0.546334\pi\) | |||||||
\(270\) | 0.790181 | + | 0.446532i | 0.0480889 | + | 0.0271750i | ||||
\(271\) | 11.7607i | 0.714413i | 0.934025 | + | 0.357206i | \(0.116271\pi\) | ||||
−0.934025 | + | 0.357206i | \(0.883729\pi\) | |||||||
\(272\) | 13.6000 | − | 4.95000i | 0.824622 | − | 0.300138i | ||||
\(273\) | 17.1473 | + | 7.22313i | 1.03780 | + | 0.437164i | ||||
\(274\) | 1.15072 | − | 0.965565i | 0.0695173 | − | 0.0583319i | ||||
\(275\) | −13.9019 | + | 2.45128i | −0.838317 | + | 0.147818i | ||||
\(276\) | 1.12480 | + | 0.644797i | 0.0677053 | + | 0.0388122i | ||||
\(277\) | −3.40027 | − | 2.85316i | −0.204302 | − | 0.171430i | 0.534896 | − | 0.844918i | \(-0.320351\pi\) |
−0.739198 | + | 0.673488i | \(0.764795\pi\) | |||||||
\(278\) | 0.978821 | − | 1.69537i | 0.0587058 | − | 0.101681i | ||||
\(279\) | −0.0199282 | − | 3.23638i | −0.00119307 | − | 0.193757i | ||||
\(280\) | −1.83805 | − | 0.0969454i | −0.109845 | − | 0.00579360i | ||||
\(281\) | 8.77039 | + | 1.54646i | 0.523198 | + | 0.0922539i | 0.429009 | − | 0.903300i | \(-0.358863\pi\) |
0.0941892 | + | 0.995554i | \(0.469974\pi\) | |||||||
\(282\) | −1.85535 | + | 2.22499i | −0.110484 | + | 0.132496i | ||||
\(283\) | 8.13265 | − | 22.3443i | 0.483436 | − | 1.32823i | −0.423093 | − | 0.906086i | \(-0.639056\pi\) |
0.906529 | − | 0.422143i | \(-0.138722\pi\) | |||||||
\(284\) | 1.80454 | − | 4.95794i | 0.107080 | − | 0.294200i | ||||
\(285\) | 7.36744 | − | 8.83527i | 0.436409 | − | 0.523356i | ||||
\(286\) | −2.29467 | − | 0.404612i | −0.135686 | − | 0.0239252i | ||||
\(287\) | −0.755893 | + | 14.3315i | −0.0446190 | + | 0.845960i | ||||
\(288\) | −4.05548 | − | 2.30826i | −0.238972 | − | 0.136015i | ||||
\(289\) | 1.60419 | − | 2.77853i | 0.0943639 | − | 0.163443i | ||||
\(290\) | 0.614965 | + | 0.516017i | 0.0361120 | + | 0.0303016i | ||||
\(291\) | 22.1448 | + | 12.6945i | 1.29815 | + | 0.744167i | ||||
\(292\) | 10.4505 | − | 1.84271i | 0.611570 | − | 0.107836i | ||||
\(293\) | 20.3420 | − | 17.0689i | 1.18839 | − | 0.997178i | 0.188505 | − | 0.982072i | \(-0.439636\pi\) |
0.999886 | − | 0.0151056i | \(-0.00480846\pi\) | |||||||
\(294\) | 0.892153 | + | 1.31582i | 0.0520314 | + | 0.0767404i | ||||
\(295\) | −16.1705 | + | 5.88558i | −0.941482 | + | 0.342671i | ||||
\(296\) | 0.180249i | 0.0104767i | ||||||||
\(297\) | −7.97515 | − | 21.2974i | −0.462765 | − | 1.23580i | ||||
\(298\) | 0.399576 | 0.0231468 | ||||||||
\(299\) | −1.44038 | + | 0.524256i | −0.0832995 | + | 0.0303185i | ||||
\(300\) | 8.46355 | − | 7.14628i | 0.488643 | − | 0.412591i | ||||
\(301\) | 5.91034 | − | 0.723690i | 0.340666 | − | 0.0417128i | ||||
\(302\) | 0.0791319 | − | 0.0139531i | 0.00455353 | − | 0.000802910i | ||||
\(303\) | −10.6141 | − | 18.2541i | −0.609761 | − | 1.04867i | ||||
\(304\) | −12.4896 | + | 14.8846i | −0.716329 | + | 0.853688i | ||||
\(305\) | 2.05893 | + | 1.18873i | 0.117894 | + | 0.0680662i | ||||
\(306\) | 1.43705 | − | 0.262525i | 0.0821508 | − | 0.0150075i | ||||
\(307\) | −27.6153 | + | 15.9437i | −1.57609 | + | 0.909956i | −0.580693 | + | 0.814123i | \(0.697218\pi\) |
−0.995397 | + | 0.0958335i | \(0.969448\pi\) | |||||||
\(308\) | 16.7865 | + | 15.6642i | 0.956502 | + | 0.892552i | ||||
\(309\) | 15.3471 | + | 2.65742i | 0.873067 | + | 0.151175i | ||||
\(310\) | −0.177074 | − | 0.0644497i | −0.0100571 | − | 0.00366050i | ||||
\(311\) | −5.67000 | − | 2.06371i | −0.321516 | − | 0.117022i | 0.176220 | − | 0.984351i | \(-0.443613\pi\) |
−0.497736 | + | 0.867328i | \(0.665835\pi\) | |||||||
\(312\) | 3.44727 | − | 1.26673i | 0.195163 | − | 0.0717147i | ||||
\(313\) | −4.63763 | − | 0.817739i | −0.262134 | − | 0.0462213i | 0.0410364 | − | 0.999158i | \(-0.486934\pi\) |
−0.303170 | + | 0.952936i | \(0.598045\pi\) | |||||||
\(314\) | 0.126076 | + | 0.218369i | 0.00711485 | + | 0.0123233i | ||||
\(315\) | 10.3162 | + | 2.31850i | 0.581254 | + | 0.130633i | ||||
\(316\) | 5.78373 | − | 10.0177i | 0.325360 | − | 0.563541i | ||||
\(317\) | −9.57584 | + | 11.4120i | −0.537833 | + | 0.640964i | −0.964700 | − | 0.263350i | \(-0.915173\pi\) |
0.426867 | + | 0.904314i | \(0.359617\pi\) | |||||||
\(318\) | −2.08909 | + | 0.00643180i | −0.117151 | + | 0.000360678i | ||||
\(319\) | −3.49288 | − | 19.8091i | −0.195564 | − | 1.10910i | ||||
\(320\) | 7.74578 | − | 6.49948i | 0.433002 | − | 0.363332i | ||||
\(321\) | 10.7107 | − | 29.7116i | 0.597811 | − | 1.65834i | ||||
\(322\) | −0.127599 | − | 0.0295036i | −0.00711082 | − | 0.00164417i | ||||
\(323\) | − | 18.5159i | − | 1.03025i | ||||||
\(324\) | 13.8105 | + | 11.3015i | 0.767249 | + | 0.627861i | ||||
\(325\) | 13.0960i | 0.726436i | ||||||||
\(326\) | −0.644639 | − | 1.77113i | −0.0357032 | − | 0.0980938i | ||||
\(327\) | −16.4390 | − | 5.92605i | −0.909078 | − | 0.327711i | ||||
\(328\) | 1.82085 | + | 2.17000i | 0.100540 | + | 0.119818i | ||||
\(329\) | −13.1975 | + | 31.0625i | −0.727604 | + | 1.71253i | ||||
\(330\) | −1.32410 | + | 0.00407658i | −0.0728894 | + | 0.000224408i | ||||
\(331\) | 8.22997 | + | 6.90576i | 0.452360 | + | 0.379575i | 0.840311 | − | 0.542105i | \(-0.182373\pi\) |
−0.387951 | + | 0.921680i | \(0.626817\pi\) | |||||||
\(332\) | 4.26021 | − | 7.37890i | 0.233809 | − | 0.404970i | ||||
\(333\) | 0.173523 | − | 1.02081i | 0.00950899 | − | 0.0559402i | ||||
\(334\) | −1.78306 | + | 1.02945i | −0.0975646 | + | 0.0563290i | ||||
\(335\) | −1.33134 | + | 7.55039i | −0.0727388 | + | 0.412522i | ||||
\(336\) | −17.4122 | − | 3.96962i | −0.949912 | − | 0.216561i | ||||
\(337\) | −8.99836 | − | 3.27514i | −0.490172 | − | 0.178408i | 0.0850964 | − | 0.996373i | \(-0.472880\pi\) |
−0.575268 | + | 0.817965i | \(0.695102\pi\) | |||||||
\(338\) | −0.156327 | + | 0.429506i | −0.00850308 | + | 0.0233620i | ||||
\(339\) | 28.0360 | + | 4.85455i | 1.52271 | + | 0.263663i | ||||
\(340\) | −1.70337 | + | 9.66030i | −0.0923782 | + | 0.523903i | ||||
\(341\) | 2.36078 | + | 4.08900i | 0.127844 | + | 0.221432i | ||||
\(342\) | −1.49460 | + | 1.26988i | −0.0808188 | + | 0.0686674i | ||||
\(343\) | 14.3812 | + | 11.6696i | 0.776513 | + | 0.630101i | ||||
\(344\) | 0.755482 | − | 0.900348i | 0.0407328 | − | 0.0485435i | ||||
\(345\) | −0.753014 | + | 0.437850i | −0.0405409 | + | 0.0235730i | ||||
\(346\) | 0.564718 | − | 0.0995751i | 0.0303594 | − | 0.00535319i | ||||
\(347\) | 14.4006 | + | 17.1620i | 0.773065 | + | 0.921303i | 0.998598 | − | 0.0529329i | \(-0.0168569\pi\) |
−0.225533 | + | 0.974235i | \(0.572412\pi\) | |||||||
\(348\) | 10.1829 | + | 12.0599i | 0.545860 | + | 0.646478i | ||||
\(349\) | −4.98766 | − | 13.7035i | −0.266983 | − | 0.733531i | −0.998654 | − | 0.0518722i | \(-0.983481\pi\) |
0.731670 | − | 0.681659i | \(-0.238741\pi\) | |||||||
\(350\) | −0.609729 | + | 0.938212i | −0.0325914 | + | 0.0501496i | ||||
\(351\) | −20.7426 | + | 3.85534i | −1.10716 | + | 0.205783i | ||||
\(352\) | 6.80766 | 0.362849 | ||||||||
\(353\) | −7.53944 | + | 2.74413i | −0.401284 | + | 0.146055i | −0.534775 | − | 0.844995i | \(-0.679604\pi\) |
0.133491 | + | 0.991050i | \(0.457381\pi\) | |||||||
\(354\) | 2.88757 | − | 0.518328i | 0.153473 | − | 0.0275488i | ||||
\(355\) | 2.27852 | + | 2.71544i | 0.120931 | + | 0.144120i | ||||
\(356\) | −3.85182 | − | 21.8447i | −0.204146 | − | 1.15777i | ||||
\(357\) | 15.1422 | − | 7.76775i | 0.801410 | − | 0.411113i | ||||
\(358\) | 1.40549 | + | 1.17935i | 0.0742827 | + | 0.0623305i | ||||
\(359\) | −1.26586 | − | 0.730844i | −0.0668095 | − | 0.0385725i | 0.466223 | − | 0.884667i | \(-0.345614\pi\) |
−0.533033 | + | 0.846095i | \(0.678948\pi\) | |||||||
\(360\) | 1.80098 | − | 1.05464i | 0.0949200 | − | 0.0555842i | ||||
\(361\) | 2.92916 | + | 5.07346i | 0.154167 | + | 0.267024i | ||||
\(362\) | −0.494107 | + | 2.80222i | −0.0259697 | + | 0.147281i | ||||
\(363\) | 10.8481 | + | 9.04583i | 0.569375 | + | 0.474783i | ||||
\(364\) | 17.0155 | − | 12.8131i | 0.891852 | − | 0.671591i | ||||
\(365\) | −2.43842 | + | 6.69949i | −0.127633 | + | 0.350668i | ||||
\(366\) | −0.311291 | − | 0.259575i | −0.0162714 | − | 0.0135682i | ||||
\(367\) | −25.7879 | − | 4.54711i | −1.34612 | − | 0.237357i | −0.546296 | − | 0.837592i | \(-0.683963\pi\) |
−0.799824 | + | 0.600235i | \(0.795074\pi\) | |||||||
\(368\) | 1.27413 | − | 0.735617i | 0.0664184 | − | 0.0383467i | ||||
\(369\) | −8.22310 | − | 14.0424i | −0.428077 | − | 0.731019i | ||||
\(370\) | −0.0522112 | − | 0.0301442i | −0.00271433 | − | 0.00156712i | ||||
\(371\) | −23.2765 | + | 7.10781i | −1.20845 | + | 0.369019i | ||||
\(372\) | −3.21431 | − | 1.84261i | −0.166654 | − | 0.0955349i | ||||
\(373\) | −2.15588 | − | 12.2266i | −0.111627 | − | 0.633069i | −0.988365 | − | 0.152101i | \(-0.951396\pi\) |
0.876738 | − | 0.480969i | \(-0.159715\pi\) | |||||||
\(374\) | −1.63258 | + | 1.36990i | −0.0844186 | + | 0.0708356i | ||||
\(375\) | 3.35316 | + | 18.6802i | 0.173156 | + | 0.964642i | ||||
\(376\) | 2.27843 | + | 6.25995i | 0.117501 | + | 0.322832i | ||||
\(377\) | −18.6608 | −0.961078 | ||||||||
\(378\) | −1.66552 | − | 0.689540i | −0.0856651 | − | 0.0354661i | ||||
\(379\) | 7.53240 | 0.386913 | 0.193457 | − | 0.981109i | \(-0.438030\pi\) | ||||
0.193457 | + | 0.981109i | \(0.438030\pi\) | |||||||
\(380\) | −4.50421 | − | 12.3752i | −0.231061 | − | 0.634835i | ||||
\(381\) | −29.0120 | + | 24.4966i | −1.48633 | + | 1.25500i | ||||
\(382\) | −2.10563 | + | 1.76683i | −0.107733 | + | 0.0903991i | ||||
\(383\) | 0.508365 | + | 2.88308i | 0.0259762 | + | 0.147319i | 0.995037 | − | 0.0995025i | \(-0.0317251\pi\) |
−0.969061 | + | 0.246821i | \(0.920614\pi\) | |||||||
\(384\) | −6.14827 | + | 3.57499i | −0.313752 | + | 0.182435i | ||||
\(385\) | −14.7530 | + | 4.50504i | −0.751883 | + | 0.229598i | ||||
\(386\) | −0.173152 | − | 0.0999696i | −0.00881323 | − | 0.00508832i | ||||
\(387\) | −5.14532 | + | 4.37171i | −0.261551 | + | 0.222226i | ||||
\(388\) | 25.3059 | − | 14.6104i | 1.28471 | − | 0.741729i | ||||
\(389\) | −24.4465 | − | 4.31058i | −1.23949 | − | 0.218555i | −0.484791 | − | 0.874630i | \(-0.661104\pi\) |
−0.754696 | + | 0.656075i | \(0.772216\pi\) | |||||||
\(390\) | −0.209584 | + | 1.21039i | −0.0106127 | + | 0.0612904i | ||||
\(391\) | −0.479508 | + | 1.31744i | −0.0242497 | + | 0.0666256i | ||||
\(392\) | 3.64687 | − | 0.252560i | 0.184195 | − | 0.0127562i | ||||
\(393\) | −18.4058 | + | 6.76341i | −0.928450 | + | 0.341169i | ||||
\(394\) | 0.568661 | − | 3.22504i | 0.0286487 | − | 0.162475i | ||||
\(395\) | 3.88578 | + | 6.73037i | 0.195515 | + | 0.338642i | ||||
\(396\) | −25.6659 | − | 4.36281i | −1.28976 | − | 0.219240i | ||||
\(397\) | −18.3498 | − | 10.5942i | −0.920948 | − | 0.531710i | −0.0370106 | − | 0.999315i | \(-0.511784\pi\) |
−0.883937 | + | 0.467605i | \(0.845117\pi\) | |||||||
\(398\) | −0.0831244 | − | 0.0697497i | −0.00416665 | − | 0.00349624i | ||||
\(399\) | −12.3912 | + | 19.1959i | −0.620337 | + | 0.960997i | ||||
\(400\) | −2.18273 | − | 12.3789i | −0.109136 | − | 0.618943i | ||||
\(401\) | −0.873706 | − | 1.04124i | −0.0436308 | − | 0.0519972i | 0.743788 | − | 0.668416i | \(-0.233027\pi\) |
−0.787419 | + | 0.616419i | \(0.788583\pi\) | |||||||
\(402\) | 0.443262 | − | 1.22962i | 0.0221079 | − | 0.0613278i | ||||
\(403\) | 4.11612 | − | 1.49815i | 0.205039 | − | 0.0746279i | ||||
\(404\) | −24.1726 | −1.20263 | ||||||||
\(405\) | −11.2149 | + | 4.23901i | −0.557272 | + | 0.210638i | ||||
\(406\) | −1.33688 | − | 0.868815i | −0.0663481 | − | 0.0431186i | ||||
\(407\) | 0.516657 | + | 1.41950i | 0.0256097 | + | 0.0703622i | ||||
\(408\) | 1.13917 | − | 3.16009i | 0.0563975 | − | 0.156448i | ||||
\(409\) | −17.0261 | − | 20.2910i | −0.841889 | − | 1.00332i | −0.999874 | − | 0.0158823i | \(-0.994944\pi\) |
0.157985 | − | 0.987441i | \(-0.449500\pi\) | |||||||
\(410\) | −0.933081 | + | 0.164527i | −0.0460816 | + | 0.00812543i | ||||
\(411\) | 0.0610907 | + | 19.8427i | 0.00301338 | + | 0.978768i | ||||
\(412\) | 11.4612 | − | 13.6589i | 0.564651 | − | 0.672925i | ||||
\(413\) | 30.4572 | − | 15.5059i | 1.49870 | − | 0.762995i | ||||
\(414\) | 0.139230 | − | 0.0516486i | 0.00684278 | − | 0.00253839i | ||||
\(415\) | 2.86221 | + | 4.95749i | 0.140500 | + | 0.243354i | ||||
\(416\) | 1.09669 | − | 6.21964i | 0.0537696 | − | 0.304943i | ||||
\(417\) | 8.91928 | + | 24.2727i | 0.436779 | + | 1.18864i | ||||
\(418\) | 0.978588 | − | 2.68865i | 0.0478643 | − | 0.131506i | ||||
\(419\) | −16.0247 | − | 5.83250i | −0.782856 | − | 0.284936i | −0.0804931 | − | 0.996755i | \(-0.525649\pi\) |
−0.702363 | + | 0.711819i | \(0.747872\pi\) | |||||||
\(420\) | 8.23081 | − | 8.87517i | 0.401623 | − | 0.433064i | ||||
\(421\) | −3.15843 | + | 17.9124i | −0.153933 | + | 0.872995i | 0.805823 | + | 0.592157i | \(0.201724\pi\) |
−0.959755 | + | 0.280838i | \(0.909388\pi\) | |||||||
\(422\) | 0.673460 | − | 0.388822i | 0.0327835 | − | 0.0189276i | ||||
\(423\) | −6.87724 | − | 37.6458i | −0.334383 | − | 1.83040i | ||||
\(424\) | −2.40192 | + | 4.16025i | −0.116648 | + | 0.202040i | ||||
\(425\) | 9.17582 | + | 7.69943i | 0.445093 | + | 0.373477i | ||||
\(426\) | −0.303770 | − | 0.522425i | −0.0147177 | − | 0.0253116i | ||||
\(427\) | −4.34584 | − | 1.84642i | −0.210310 | − | 0.0893545i | ||||
\(428\) | −23.2404 | − | 27.6968i | −1.12337 | − | 1.33878i | ||||
\(429\) | 23.5172 | − | 19.8570i | 1.13542 | − | 0.958703i | ||||
\(430\) | 0.134453 | + | 0.369406i | 0.00648389 | + | 0.0178143i | ||||
\(431\) | 3.52787i | 0.169932i | 0.996384 | + | 0.0849658i | \(0.0270781\pi\) | ||||
−0.996384 | + | 0.0849658i | \(0.972922\pi\) | |||||||
\(432\) | 18.9641 | − | 7.10141i | 0.912412 | − | 0.341667i | ||||
\(433\) | 19.5602i | 0.940001i | 0.882666 | + | 0.470001i | \(0.155746\pi\) | ||||
−0.882666 | + | 0.470001i | \(0.844254\pi\) | |||||||
\(434\) | 0.364635 | + | 0.0843111i | 0.0175030 | + | 0.00404706i | ||||
\(435\) | −10.4375 | + | 1.87357i | −0.500442 | + | 0.0898309i | ||||
\(436\) | −15.3242 | + | 12.8586i | −0.733897 | + | 0.615813i | ||||
\(437\) | −0.326845 | − | 1.85363i | −0.0156351 | − | 0.0886712i | ||||
\(438\) | 0.604483 | − | 1.05448i | 0.0288833 | − | 0.0503850i | ||||
\(439\) | 5.11723 | − | 6.09848i | 0.244232 | − | 0.291064i | −0.629977 | − | 0.776613i | \(-0.716936\pi\) |
0.874209 | + | 0.485549i | \(0.161380\pi\) | |||||||
\(440\) | −1.52238 | + | 2.63683i | −0.0725765 | + | 0.125706i | ||||
\(441\) | −20.8967 | − | 2.08045i | −0.995081 | − | 0.0990692i | ||||
\(442\) | 0.988566 | + | 1.71225i | 0.0470213 | + | 0.0814433i | ||||
\(443\) | 27.4654 | + | 4.84288i | 1.30492 | + | 0.230092i | 0.782529 | − | 0.622614i | \(-0.213929\pi\) |
0.522390 | + | 0.852707i | \(0.325041\pi\) | |||||||
\(444\) | −0.910383 | − | 0.759138i | −0.0432049 | − | 0.0360271i | ||||
\(445\) | 14.0040 | + | 5.09703i | 0.663852 | + | 0.241622i | ||||
\(446\) | −1.79107 | − | 0.651896i | −0.0848095 | − | 0.0308681i | ||||
\(447\) | −3.38031 | + | 4.05378i | −0.159883 | + | 0.191737i | ||||
\(448\) | −13.7009 | + | 14.6825i | −0.647306 | + | 0.693685i | ||||
\(449\) | −15.1431 | + | 8.74287i | −0.714647 | + | 0.412602i | −0.812779 | − | 0.582572i | \(-0.802047\pi\) |
0.0981322 | + | 0.995173i | \(0.468713\pi\) | |||||||
\(450\) | −0.00781227 | − | 1.26873i | −0.000368274 | − | 0.0598084i | ||||
\(451\) | 20.5596 | + | 11.8701i | 0.968116 | + | 0.558942i | ||||
\(452\) | 20.9372 | − | 24.9520i | 0.984803 | − | 1.17364i | ||||
\(453\) | −0.527879 | + | 0.920849i | −0.0248019 | + | 0.0432653i | ||||
\(454\) | −0.860863 | + | 0.151793i | −0.0404023 | + | 0.00712402i | ||||
\(455\) | 1.73926 | + | 14.2044i | 0.0815377 | + | 0.665915i | ||||
\(456\) | 0.796790 | + | 4.43886i | 0.0373131 | + | 0.207869i | ||||
\(457\) | −25.2787 | + | 9.20069i | −1.18249 | + | 0.430390i | −0.857080 | − | 0.515184i | \(-0.827724\pi\) |
−0.325407 | + | 0.945574i | \(0.605501\pi\) | |||||||
\(458\) | 2.33487 | 0.109101 | ||||||||
\(459\) | −9.49373 | + | 16.8001i | −0.443130 | + | 0.784161i | ||||
\(460\) | 0.997166i | 0.0464931i | ||||||||
\(461\) | 17.3925 | − | 6.33036i | 0.810050 | − | 0.294834i | 0.0964058 | − | 0.995342i | \(-0.469265\pi\) |
0.713645 | + | 0.700508i | \(0.247043\pi\) | |||||||
\(462\) | 2.60930 | − | 0.327652i | 0.121396 | − | 0.0152438i | ||||
\(463\) | −11.6402 | + | 9.76728i | −0.540966 | + | 0.453924i | −0.871868 | − | 0.489741i | \(-0.837091\pi\) |
0.330902 | + | 0.943665i | \(0.392647\pi\) | |||||||
\(464\) | 17.6389 | − | 3.11021i | 0.818864 | − | 0.144388i | ||||
\(465\) | 2.15186 | − | 1.25122i | 0.0997900 | − | 0.0580242i | ||||
\(466\) | 1.61202 | + | 1.35265i | 0.0746755 | + | 0.0626602i | ||||
\(467\) | −12.8706 | + | 22.2926i | −0.595581 | + | 1.03158i | 0.397884 | + | 0.917436i | \(0.369745\pi\) |
−0.993465 | + | 0.114140i | \(0.963589\pi\) | |||||||
\(468\) | −8.12065 | + | 22.7461i | −0.375377 | + | 1.05144i | ||||
\(469\) | 0.802015 | − | 15.2059i | 0.0370336 | − | 0.702145i | ||||
\(470\) | −2.19431 | − | 0.386916i | −0.101216 | − | 0.0178471i | ||||
\(471\) | −3.28197 | − | 0.568287i | −0.151225 | − | 0.0261853i | ||||
\(472\) | 2.30728 | − | 6.33919i | 0.106201 | − | 0.291785i | ||||
\(473\) | 3.36889 | − | 9.25595i | 0.154902 | − | 0.425589i | ||||
\(474\) | −0.456981 | − | 1.24362i | −0.0209898 | − | 0.0571213i | ||||
\(475\) | −15.8369 | − | 2.79247i | −0.726647 | − | 0.128128i | ||||
\(476\) | 1.02613 | − | 19.4551i | 0.0470327 | − | 0.891724i | ||||
\(477\) | 17.6080 | − | 21.2487i | 0.806213 | − | 0.972911i | ||||
\(478\) | −0.133817 | + | 0.231778i | −0.00612065 | + | 0.0106013i | ||||
\(479\) | −1.75513 | − | 1.47273i | −0.0801939 | − | 0.0672907i | 0.601810 | − | 0.798640i | \(-0.294447\pi\) |
−0.682003 | + | 0.731349i | \(0.738891\pi\) | |||||||
\(480\) | −0.0110495 | − | 3.58895i | −0.000504337 | − | 0.163812i | ||||
\(481\) | 1.38012 | − | 0.243353i | 0.0629282 | − | 0.0110959i | ||||
\(482\) | −1.04381 | + | 0.875858i | −0.0475441 | + | 0.0398942i | ||||
\(483\) | 1.37878 | − | 1.04493i | 0.0627365 | − | 0.0475458i | ||||
\(484\) | 15.1945 | − | 5.53033i | 0.690657 | − | 0.251379i | ||||
\(485\) | 19.6319i | 0.891436i | ||||||||
\(486\) | 2.00722 | − | 0.385875i | 0.0910493 | − | 0.0175037i | ||||
\(487\) | 35.0917 | 1.59016 | 0.795078 | − | 0.606507i | \(-0.207430\pi\) | ||||
0.795078 | + | 0.606507i | \(0.207430\pi\) | |||||||
\(488\) | −0.875806 | + | 0.318767i | −0.0396459 | + | 0.0144299i | ||||
\(489\) | 23.4220 | + | 8.44333i | 1.05918 | + | 0.381820i | ||||
\(490\) | −0.536733 | + | 1.09860i | −0.0242471 | + | 0.0496296i | ||||
\(491\) | 22.3682 | − | 3.94412i | 1.00946 | − | 0.177996i | 0.355624 | − | 0.934629i | \(-0.384268\pi\) |
0.653840 | + | 0.756633i | \(0.273157\pi\) | |||||||
\(492\) | −18.6288 | + | 0.0573534i | −0.839850 | + | 0.00258569i | ||||
\(493\) | −10.9711 | + | 13.0748i | −0.494112 | + | 0.588860i | ||||
\(494\) | −2.29877 | − | 1.32719i | −0.103426 | − | 0.0597132i | ||||
\(495\) | 11.1602 | − | 13.4678i | 0.501614 | − | 0.605331i | ||||
\(496\) | −3.64102 | + | 2.10214i | −0.163487 | + | 0.0943890i | ||||
\(497\) | −5.14726 | − | 4.80312i | −0.230886 | − | 0.215449i | ||||
\(498\) | −0.336605 | − | 0.916031i | −0.0150836 | − | 0.0410483i | ||||
\(499\) | −18.3536 | − | 6.68017i | −0.821621 | − | 0.299046i | −0.103206 | − | 0.994660i | \(-0.532910\pi\) |
−0.718415 | + | 0.695615i | \(0.755132\pi\) | |||||||
\(500\) | 20.4161 | + | 7.43087i | 0.913038 | + | 0.332319i | ||||
\(501\) | 4.64025 | − | 26.7984i | 0.207311 | − | 1.19726i | ||||
\(502\) | 3.03046 | + | 0.534353i | 0.135256 | + | 0.0238493i | ||||
\(503\) | −6.03294 | − | 10.4494i | −0.268995 | − | 0.465914i | 0.699607 | − | 0.714528i | \(-0.253358\pi\) |
−0.968603 | + | 0.248614i | \(0.920025\pi\) | |||||||
\(504\) | −3.29582 | + | 2.51380i | −0.146807 | + | 0.111973i | ||||
\(505\) | 8.12014 | − | 14.0645i | 0.361342 | − | 0.625862i | ||||
\(506\) | −0.139257 | + | 0.165960i | −0.00619071 | + | 0.00737780i | ||||
\(507\) | −3.03493 | − | 5.21948i | −0.134786 | − | 0.231805i | ||||
\(508\) | 7.54814 | + | 42.8076i | 0.334895 | + | 1.89928i | ||||
\(509\) | 25.0698 | − | 21.0360i | 1.11120 | − | 0.932406i | 0.113072 | − | 0.993587i | \(-0.463931\pi\) |
0.998127 | + | 0.0611805i | \(0.0194865\pi\) | |||||||
\(510\) | 0.724848 | + | 0.858459i | 0.0320968 | + | 0.0380132i | ||||
\(511\) | 3.18986 | − | 13.7957i | 0.141111 | − | 0.610287i | ||||
\(512\) | 10.1322i | 0.447786i | ||||||||
\(513\) | −0.239280 | − | 25.9059i | −0.0105645 | − | 1.14378i | ||||
\(514\) | 0.657525i | 0.0290022i | ||||||||
\(515\) | 4.09716 | + | 11.2569i | 0.180543 | + | 0.496037i | ||||
\(516\) | 1.36560 | + | 7.60764i | 0.0601170 | + | 0.334908i | ||||
\(517\) | 35.8865 | + | 42.7678i | 1.57829 | + | 1.88093i | ||||
\(518\) | 0.110204 | + | 0.0468222i | 0.00484207 | + | 0.00205725i | ||||
\(519\) | −3.76717 | + | 6.57156i | −0.165360 | + | 0.288460i | ||||
\(520\) | 2.16382 | + | 1.81566i | 0.0948900 | + | 0.0796221i | ||||
\(521\) | −0.373097 | + | 0.646223i | −0.0163457 | + | 0.0283115i | −0.874083 | − | 0.485777i | \(-0.838537\pi\) |
0.857737 | + | 0.514089i | \(0.171870\pi\) | |||||||
\(522\) | 1.80783 | − | 0.0111319i | 0.0791268 | − | 0.000487228i | ||||
\(523\) | 0.0341810 | − | 0.0197344i | 0.00149463 | − | 0.000862925i | −0.499252 | − | 0.866457i | \(-0.666392\pi\) |
0.500747 | + | 0.865594i | \(0.333059\pi\) | |||||||
\(524\) | −3.89806 | + | 22.1070i | −0.170287 | + | 0.965748i | ||||
\(525\) | −4.36020 | − | 14.1229i | −0.190295 | − | 0.616373i | ||||
\(526\) | −0.753000 | − | 0.274070i | −0.0328324 | − | 0.0119500i | ||||
\(527\) | 1.37027 | − | 3.76478i | 0.0596898 | − | 0.163996i | ||||
\(528\) | −18.9198 | + | 22.6892i | −0.823377 | + | 0.987420i | ||||
\(529\) | 3.96916 | − | 22.5102i | 0.172572 | − | 0.978705i | ||||
\(530\) | −0.803378 | − | 1.39149i | −0.0348965 | − | 0.0604426i | ||||
\(531\) | −19.1696 | + | 33.6799i | −0.831889 | + | 1.46159i | ||||
\(532\) | 11.8666 | + | 23.3088i | 0.514483 | + | 1.01057i | ||||
\(533\) | 14.1569 | − | 16.8715i | 0.613204 | − | 0.730788i | ||||
\(534\) | −2.20418 | − | 1.26355i | −0.0953843 | − | 0.0546793i | ||||
\(535\) | 23.9220 | − | 4.21809i | 1.03424 | − | 0.182364i | ||||
\(536\) | −1.93195 | − | 2.30241i | −0.0834476 | − | 0.0994490i | ||||
\(537\) | −23.8549 | + | 4.28202i | −1.02941 | + | 0.184783i | ||||
\(538\) | 0.213373 | + | 0.586239i | 0.00919918 | + | 0.0252745i | ||||
\(539\) | 27.9961 | − | 12.4422i | 1.20588 | − | 0.535924i | ||||
\(540\) | −2.25838 | + | 13.5379i | −0.0971854 | + | 0.582580i | ||||
\(541\) | −44.3075 | −1.90493 | −0.952465 | − | 0.304648i | \(-0.901461\pi\) | ||||
−0.952465 | + | 0.304648i | \(0.901461\pi\) | |||||||
\(542\) | 1.44908 | − | 0.527421i | 0.0622432 | − | 0.0226547i | ||||
\(543\) | −24.2491 | − | 28.7189i | −1.04063 | − | 1.23244i | ||||
\(544\) | −3.71307 | − | 4.42506i | −0.159196 | − | 0.189723i | ||||
\(545\) | −2.33381 | − | 13.2357i | −0.0999693 | − | 0.566954i | ||||
\(546\) | 0.120999 | − | 2.43670i | 0.00517827 | − | 0.104281i | ||||
\(547\) | 1.85944 | + | 1.56025i | 0.0795038 | + | 0.0667116i | 0.681673 | − | 0.731657i | \(-0.261252\pi\) |
−0.602170 | + | 0.798368i | \(0.705697\pi\) | |||||||
\(548\) | 19.6722 | + | 11.3578i | 0.840355 | + | 0.485179i | ||||
\(549\) | 5.26688 | − | 0.962169i | 0.224785 | − | 0.0410644i | ||||
\(550\) | 0.925476 | + | 1.60297i | 0.0394624 | + | 0.0683509i | ||||
\(551\) | 3.97905 | − | 22.5663i | 0.169513 | − | 0.961358i | ||||
\(552\) | 0.0582608 | − | 0.336468i | 0.00247974 | − | 0.0143210i | ||||
\(553\) | −9.28489 | − | 12.3301i | −0.394834 | − | 0.524327i | ||||
\(554\) | −0.199059 | + | 0.546911i | −0.00845722 | + | 0.0232360i | ||||
\(555\) | 0.747513 | − | 0.274682i | 0.0317302 | − | 0.0116596i | ||||
\(556\) | 29.1537 | + | 5.14058i | 1.23639 | + | 0.218009i | ||||
\(557\) | −0.292925 | + | 0.169120i | −0.0124116 | + | 0.00716586i | −0.506193 | − | 0.862420i | \(-0.668948\pi\) |
0.493781 | + | 0.869586i | \(0.335614\pi\) | |||||||
\(558\) | −0.397872 | + | 0.147594i | −0.0168432 | + | 0.00624816i | ||||
\(559\) | −7.91374 | − | 4.56900i | −0.334715 | − | 0.193248i | ||||
\(560\) | −4.01148 | − | 13.1367i | −0.169516 | − | 0.555127i | ||||
\(561\) | −0.0866724 | − | 28.1518i | −0.00365931 | − | 1.18857i | ||||
\(562\) | −0.202773 | − | 1.14998i | −0.00855346 | − | 0.0485091i | ||||
\(563\) | −12.3087 | + | 10.3282i | −0.518748 | + | 0.435282i | −0.864195 | − | 0.503157i | \(-0.832172\pi\) |
0.345447 | + | 0.938438i | \(0.387727\pi\) | |||||||
\(564\) | −41.2130 | − | 14.8568i | −1.73538 | − | 0.625584i | ||||
\(565\) | 7.48467 | + | 20.5640i | 0.314883 | + | 0.865133i | ||||
\(566\) | −3.11783 | −0.131052 | ||||||||
\(567\) | 21.0854 | − | 11.0637i | 0.885504 | − | 0.464632i | ||||
\(568\) | −1.38962 | −0.0583072 | ||||||||
\(569\) | 8.08739 | + | 22.2199i | 0.339041 | + | 0.931507i | 0.985667 | + | 0.168700i | \(0.0539570\pi\) |
−0.646627 | + | 0.762807i | \(0.723821\pi\) | |||||||
\(570\) | −1.41902 | − | 0.511540i | −0.0594363 | − | 0.0214261i | ||||
\(571\) | −0.278581 | + | 0.233758i | −0.0116583 | + | 0.00978245i | −0.648598 | − | 0.761131i | \(-0.724644\pi\) |
0.636940 | + | 0.770913i | \(0.280200\pi\) | |||||||
\(572\) | −6.11852 | − | 34.6999i | −0.255828 | − | 1.45087i | ||||
\(573\) | −0.111786 | − | 36.3090i | −0.00466995 | − | 1.51683i | ||||
\(574\) | 1.79973 | − | 0.549573i | 0.0751192 | − | 0.0229387i | ||||
\(575\) | 1.05451 | + | 0.608820i | 0.0439760 | + | 0.0253896i | ||||
\(576\) | 3.81598 | − | 22.4490i | 0.158999 | − | 0.935373i | ||||
\(577\) | −7.66829 | + | 4.42729i | −0.319235 | + | 0.184310i | −0.651052 | − | 0.759034i | \(-0.725672\pi\) |
0.331817 | + | 0.943344i | \(0.392339\pi\) | |||||||
\(578\) | −0.414294 | − | 0.0730512i | −0.0172324 | − | 0.00303853i | ||||
\(579\) | 2.47904 | − | 0.910950i | 0.103025 | − | 0.0378578i | ||||
\(580\) | −4.15199 | + | 11.4075i | −0.172402 | + | 0.473671i | ||||
\(581\) | −6.83911 | − | 9.08213i | −0.283734 | − | 0.376790i | ||||
\(582\) | 0.571033 | − | 3.29783i | 0.0236701 | − | 0.136700i | ||||
\(583\) | −6.99097 | + | 39.6478i | −0.289536 | + | 1.64204i | ||||
\(584\) | −1.39745 | − | 2.42046i | −0.0578270 | − | 0.100159i | ||||
\(585\) | −10.5066 | − | 12.3658i | −0.434395 | − | 0.511265i | ||||
\(586\) | −3.01538 | − | 1.74093i | −0.124564 | − | 0.0719171i | ||||
\(587\) | 22.0136 | + | 18.4716i | 0.908598 | + | 0.762405i | 0.971852 | − | 0.235593i | \(-0.0757032\pi\) |
−0.0632534 | + | 0.997997i | \(0.520148\pi\) | |||||||
\(588\) | −14.0836 | + | 19.4830i | −0.580799 | + | 0.803464i | ||||
\(589\) | 0.934012 | + | 5.29705i | 0.0384853 | + | 0.218261i | ||||
\(590\) | 1.45036 | + | 1.72848i | 0.0597105 | + | 0.0711602i | ||||
\(591\) | 27.9079 | + | 33.0522i | 1.14798 | + | 1.35959i | ||||
\(592\) | −1.26399 | + | 0.460053i | −0.0519495 | + | 0.0189081i | ||||
\(593\) | −7.83158 | −0.321605 | −0.160802 | − | 0.986987i | \(-0.551408\pi\) | ||||
−0.160802 | + | 0.986987i | \(0.551408\pi\) | |||||||
\(594\) | −2.26647 | + | 1.93775i | −0.0929945 | + | 0.0795068i | ||||
\(595\) | 10.9750 | + | 7.13247i | 0.449931 | + | 0.292403i | ||||
\(596\) | 2.06661 | + | 5.67797i | 0.0846517 | + | 0.232579i | ||||
\(597\) | 1.41084 | − | 0.253250i | 0.0577417 | − | 0.0103648i | ||||
\(598\) | 0.129191 | + | 0.153964i | 0.00528300 | + | 0.00629604i | ||||
\(599\) | −25.0073 | + | 4.40946i | −1.02177 | + | 0.180166i | −0.659339 | − | 0.751845i | \(-0.729164\pi\) |
−0.362430 | + | 0.932011i | \(0.618053\pi\) | |||||||
\(600\) | −2.53107 | − | 1.45095i | −0.103331 | − | 0.0592346i | ||||
\(601\) | 28.8206 | − | 34.3470i | 1.17562 | − | 1.40104i | 0.277819 | − | 0.960633i | \(-0.410388\pi\) |
0.897796 | − | 0.440411i | \(-0.145167\pi\) | |||||||
\(602\) | −0.354224 | − | 0.695779i | −0.0144371 | − | 0.0283578i | ||||
\(603\) | 8.72485 | + | 14.8992i | 0.355303 | + | 0.606744i | ||||
\(604\) | 0.607545 | + | 1.05230i | 0.0247207 | + | 0.0428174i | ||||
\(605\) | −1.88643 | + | 10.6985i | −0.0766941 | + | 0.434954i | ||||
\(606\) | −1.77315 | + | 2.12642i | −0.0720292 | + | 0.0863797i | ||||
\(607\) | −3.35939 | + | 9.22986i | −0.136354 | + | 0.374628i | −0.989011 | − | 0.147842i | \(-0.952767\pi\) |
0.852657 | + | 0.522470i | \(0.174990\pi\) | |||||||
\(608\) | 7.28751 | + | 2.65244i | 0.295548 | + | 0.107571i | ||||
\(609\) | 20.1240 | − | 6.21294i | 0.815464 | − | 0.251761i | ||||
\(610\) | 0.0541320 | − | 0.306998i | 0.00219174 | − | 0.0124300i | ||||
\(611\) | 44.8549 | − | 25.8970i | 1.81464 | − | 1.04768i | ||||
\(612\) | 11.1629 | + | 19.0627i | 0.451235 | + | 0.770565i | ||||
\(613\) | −16.3106 | + | 28.2507i | −0.658778 | + | 1.14104i | 0.322154 | + | 0.946687i | \(0.395593\pi\) |
−0.980932 | + | 0.194350i | \(0.937740\pi\) | |||||||
\(614\) | 3.20292 | + | 2.68757i | 0.129259 | + | 0.108461i | ||||
\(615\) | 6.22447 | − | 10.8582i | 0.250995 | − | 0.437843i | ||||
\(616\) | 2.36467 | − | 5.56564i | 0.0952753 | − | 0.224246i | ||||
\(617\) | 0.764441 | + | 0.911025i | 0.0307752 | + | 0.0366765i | 0.781213 | − | 0.624265i | \(-0.214602\pi\) |
−0.750437 | + | 0.660942i | \(0.770157\pi\) | |||||||
\(618\) | −0.360827 | − | 2.01015i | −0.0145146 | − | 0.0808599i | ||||
\(619\) | 12.4466 | + | 34.1968i | 0.500271 | + | 1.37448i | 0.891011 | + | 0.453982i | \(0.149997\pi\) |
−0.390740 | + | 0.920501i | \(0.627781\pi\) | |||||||
\(620\) | − | 2.84956i | − | 0.114441i | ||||||
\(621\) | −0.653864 | + | 1.84945i | −0.0262387 | + | 0.0742159i | ||||
\(622\) | 0.791169i | 0.0317230i | ||||||||
\(623\) | −28.8373 | − | 6.66778i | −1.15534 | − | 0.267139i | ||||
\(624\) | 17.6815 | + | 20.9407i | 0.707825 | + | 0.838299i | ||||
\(625\) | 1.17217 | − | 0.983570i | 0.0468869 | − | 0.0393428i | ||||
\(626\) | 0.107223 | + | 0.608090i | 0.00428548 | + | 0.0243042i | ||||
\(627\) | 18.9983 | + | 32.6733i | 0.758718 | + | 1.30484i | ||||
\(628\) | −2.45096 | + | 2.92094i | −0.0978040 | + | 0.116558i | ||||
\(629\) | 0.640897 | − | 1.11007i | 0.0255542 | − | 0.0442612i | ||||
\(630\) | −0.176971 | − | 1.37507i | −0.00705069 | − | 0.0547842i | ||||
\(631\) | 17.0123 | + | 29.4661i | 0.677248 | + | 1.17303i | 0.975806 | + | 0.218637i | \(0.0701610\pi\) |
−0.298558 | + | 0.954391i | \(0.596506\pi\) | |||||||
\(632\) | −3.00034 | − | 0.529041i | −0.119347 | − | 0.0210441i | ||||
\(633\) | −1.75262 | + | 10.1217i | −0.0696604 | + | 0.402303i | ||||
\(634\) | 1.83556 | + | 0.668088i | 0.0728992 | + | 0.0265331i | ||||
\(635\) | −27.4426 | − | 9.98830i | −1.08903 | − | 0.396374i | ||||
\(636\) | −10.8962 | − | 29.6528i | −0.432064 | − | 1.17581i | ||||
\(637\) | −6.85742 | − | 27.5823i | −0.271701 | − | 1.09285i | ||||
\(638\) | −2.28411 | + | 1.31873i | −0.0904286 | + | 0.0522090i | ||||
\(639\) | 7.86993 | + | 1.33777i | 0.311329 | + | 0.0529213i | ||||
\(640\) | −4.73715 | − | 2.73500i | −0.187252 | − | 0.108110i | ||||
\(641\) | 25.3403 | − | 30.1994i | 1.00088 | − | 1.19280i | 0.0196832 | − | 0.999806i | \(-0.493734\pi\) |
0.981199 | − | 0.192999i | \(-0.0618213\pi\) | |||||||
\(642\) | −4.14120 | + | 0.0127497i | −0.163440 | + | 0.000503191i | ||||
\(643\) | 1.58947 | − | 0.280266i | 0.0626824 | − | 0.0110526i | −0.142219 | − | 0.989835i | \(-0.545424\pi\) |
0.204901 | + | 0.978783i | \(0.434313\pi\) | |||||||
\(644\) | −0.240699 | − | 1.96578i | −0.00948486 | − | 0.0774624i | ||||
\(645\) | −4.88513 | − | 1.76103i | −0.192352 | − | 0.0693405i | ||||
\(646\) | −2.28140 | + | 0.830362i | −0.0897605 | + | 0.0326702i | ||||
\(647\) | 20.9883 | 0.825137 | 0.412568 | − | 0.910927i | \(-0.364632\pi\) | ||||
0.412568 | + | 0.910927i | \(0.364632\pi\) | |||||||
\(648\) | 1.55301 | − | 4.43608i | 0.0610078 | − | 0.174266i | ||||
\(649\) | − | 56.5362i | − | 2.21924i | ||||||
\(650\) | 1.61360 | − | 0.587304i | 0.0632908 | − | 0.0230360i | ||||
\(651\) | −3.94007 | + | 2.98604i | −0.154424 | + | 0.117032i | ||||
\(652\) | 21.8337 | − | 18.3206i | 0.855073 | − | 0.717492i | ||||
\(653\) | 7.06142 | − | 1.24512i | 0.276335 | − | 0.0487253i | −0.0337633 | − | 0.999430i | \(-0.510749\pi\) |
0.310098 | + | 0.950705i | \(0.399638\pi\) | |||||||
\(654\) | 0.00705423 | + | 2.29126i | 0.000275842 | + | 0.0895954i | ||||
\(655\) | −11.5532 | − | 9.69428i | −0.451421 | − | 0.378787i | ||||
\(656\) | −10.5697 | + | 18.3072i | −0.412676 | + | 0.714776i | ||||
\(657\) | 5.58414 | + | 15.0532i | 0.217858 | + | 0.587283i | ||||
\(658\) | 4.41918 | + | 0.233083i | 0.172277 | + | 0.00908652i | ||||
\(659\) | −29.4274 | − | 5.18885i | −1.14633 | − | 0.202129i | −0.431957 | − | 0.901894i | \(-0.642177\pi\) |
−0.714372 | + | 0.699766i | \(0.753288\pi\) | |||||||
\(660\) | −6.90621 | − | 18.7944i | −0.268824 | − | 0.731571i | ||||
\(661\) | −8.06882 | + | 22.1689i | −0.313841 | + | 0.862270i | 0.678032 | + | 0.735033i | \(0.262833\pi\) |
−0.991872 | + | 0.127238i | \(0.959389\pi\) | |||||||
\(662\) | 0.481801 | − | 1.32374i | 0.0187257 | − | 0.0514485i | ||||
\(663\) | −25.7341 | − | 4.45597i | −0.999431 | − | 0.173056i | ||||
\(664\) | −2.21001 | − | 0.389684i | −0.0857649 | − | 0.0151227i | ||||
\(665\) | −17.5482 | − | 0.925554i | −0.680490 | − | 0.0358915i | ||||
\(666\) | −0.133560 | + | 0.0243991i | −0.00517533 | + | 0.000945445i | ||||
\(667\) | −0.867520 | + | 1.50259i | −0.0335905 | + | 0.0581805i | ||||
\(668\) | −23.8505 | − | 20.0129i | −0.922803 | − | 0.774324i | ||||
\(669\) | 21.7656 | − | 12.6559i | 0.841507 | − | 0.489305i | ||||
\(670\) | 0.990015 | − | 0.174566i | 0.0382476 | − | 0.00674409i | ||||
\(671\) | −5.98349 | + | 5.02075i | −0.230990 | + | 0.193824i | ||||
\(672\) | 0.888093 | + | 7.07245i | 0.0342589 | + | 0.272826i | ||||
\(673\) | 14.5070 | − | 5.28011i | 0.559203 | − | 0.203533i | −0.0469277 | − | 0.998898i | \(-0.514943\pi\) |
0.606131 | + | 0.795365i | \(0.292721\pi\) | |||||||
\(674\) | 1.25560i | 0.0483637i | ||||||||
\(675\) | 12.9376 | + | 10.6539i | 0.497968 | + | 0.410067i | ||||
\(676\) | −6.91181 | −0.265839 | ||||||||
\(677\) | 35.5524 | − | 12.9400i | 1.36639 | − | 0.497325i | 0.448366 | − | 0.893850i | \(-0.352006\pi\) |
0.918024 | + | 0.396525i | \(0.129784\pi\) | |||||||
\(678\) | −0.659157 | − | 3.67212i | −0.0253148 | − | 0.141027i | ||||
\(679\) | −4.73880 | − | 38.7015i | −0.181858 | − | 1.48523i | ||||
\(680\) | 2.54432 | − | 0.448632i | 0.0975701 | − | 0.0172042i | ||||
\(681\) | 5.74271 | − | 10.0178i | 0.220061 | − | 0.383882i | ||||
\(682\) | 0.397948 | − | 0.474256i | 0.0152382 | − | 0.0181602i | ||||
\(683\) | −13.2112 | − | 7.62750i | −0.505513 | − | 0.291858i | 0.225474 | − | 0.974249i | \(-0.427607\pi\) |
−0.730987 | + | 0.682391i | \(0.760940\pi\) | |||||||
\(684\) | −25.7752 | − | 14.6704i | −0.985538 | − | 0.560938i | ||||
\(685\) | −13.2167 | + | 7.63067i | −0.504985 | + | 0.291553i | ||||
\(686\) | 0.792914 | − | 2.29530i | 0.0302736 | − | 0.0876348i | ||||
\(687\) | −19.7524 | + | 23.6877i | −0.753601 | + | 0.903743i | ||||
\(688\) | 8.24189 | + | 2.99980i | 0.314219 | + | 0.114366i | ||||
\(689\) | 35.0969 | + | 12.7742i | 1.33709 | + | 0.486660i | ||||
\(690\) | 0.0877186 | + | 0.0731457i | 0.00333939 | + | 0.00278461i | ||||
\(691\) | 32.7662 | + | 5.77757i | 1.24649 | + | 0.219789i | 0.757693 | − | 0.652611i | \(-0.226326\pi\) |
0.488792 | + | 0.872400i | \(0.337438\pi\) | |||||||
\(692\) | 4.33570 | + | 7.50964i | 0.164818 | + | 0.285474i | ||||
\(693\) | −18.7500 | + | 29.2438i | −0.712252 | + | 1.11088i | ||||
\(694\) | 1.46877 | − | 2.54399i | 0.0557539 | − | 0.0965686i | ||||
\(695\) | −12.7844 | + | 15.2358i | −0.484939 | + | 0.577928i | ||||
\(696\) | 2.06748 | − | 3.60658i | 0.0783676 | − | 0.136707i | ||||
\(697\) | −3.49803 | − | 19.8383i | −0.132497 | − | 0.751429i | ||||
\(698\) | −1.46478 | + | 1.22909i | −0.0554426 | + | 0.0465219i | ||||
\(699\) | −27.3602 | + | 4.91124i | −1.03486 | + | 0.185760i | ||||
\(700\) | −16.4855 | − | 3.81180i | −0.623095 | − | 0.144072i | ||||
\(701\) | 1.67746i | 0.0633567i | 0.999498 | + | 0.0316783i | \(0.0100852\pi\) | ||||
−0.999498 | + | 0.0316783i | \(0.989915\pi\) | |||||||
\(702\) | 1.40525 | + | 2.38287i | 0.0530378 | + | 0.0899355i | ||||
\(703\) | 1.72086i | 0.0649036i | ||||||||
\(704\) | 11.3619 | + | 31.2166i | 0.428219 | + | 1.17652i | ||||
\(705\) | 22.4886 | − | 18.9885i | 0.846971 | − | 0.715148i | ||||
\(706\) | 0.676227 | + | 0.805896i | 0.0254501 | + | 0.0303303i | ||||
\(707\) | −12.6128 | + | 29.6863i | −0.474354 | + | 1.11647i | ||||
\(708\) | 22.3000 | + | 38.3516i | 0.838086 | + | 1.44134i | ||||
\(709\) | −21.9319 | − | 18.4031i | −0.823671 | − | 0.691142i | 0.130158 | − | 0.991493i | \(-0.458452\pi\) |
−0.953829 | + | 0.300351i | \(0.902896\pi\) | |||||||
\(710\) | 0.232395 | − | 0.402521i | 0.00872165 | − | 0.0151063i | ||||
\(711\) | 16.4827 | + | 5.88454i | 0.618150 | + | 0.220687i | ||||
\(712\) | −5.05949 | + | 2.92110i | −0.189613 | + | 0.109473i | ||||
\(713\) | 0.0707217 | − | 0.401083i | 0.00264855 | − | 0.0150207i | ||||
\(714\) | −1.63616 | − | 1.51737i | −0.0612317 | − | 0.0567861i | ||||
\(715\) | 22.2450 | + | 8.09652i | 0.831916 | + | 0.302793i | ||||
\(716\) | −9.48932 | + | 26.0717i | −0.354633 | + | 0.974345i | ||||
\(717\) | −1.21938 | − | 3.31839i | −0.0455384 | − | 0.123927i | ||||
\(718\) | −0.0332810 | + | 0.188746i | −0.00124204 | + | 0.00704395i | ||||
\(719\) | 6.37063 | + | 11.0343i | 0.237584 | + | 0.411508i | 0.960021 | − | 0.279929i | \(-0.0903110\pi\) |
−0.722436 | + | 0.691438i | \(0.756978\pi\) | |||||||
\(720\) | 11.9923 | + | 9.93753i | 0.446926 | + | 0.370350i | ||||
\(721\) | −10.7942 | − | 21.2024i | −0.401998 | − | 0.789619i | ||||
\(722\) | 0.493757 | − | 0.588437i | 0.0183757 | − | 0.0218994i | ||||
\(723\) | −0.0554150 | − | 17.9992i | −0.00206091 | − | 0.669397i | ||||
\(724\) | −42.3750 | + | 7.47186i | −1.57486 | + | 0.277690i | ||||
\(725\) | 9.52849 | + | 11.3556i | 0.353879 | + | 0.421737i | ||||
\(726\) | 0.628076 | − | 1.74230i | 0.0233101 | − | 0.0646627i | ||||
\(727\) | −15.1297 | − | 41.5685i | −0.561129 | − | 1.54169i | −0.817985 | − | 0.575240i | \(-0.804909\pi\) |
0.256856 | − | 0.966450i | \(-0.417313\pi\) | |||||||
\(728\) | −4.70396 | − | 3.05702i | −0.174340 | − | 0.113301i | ||||
\(729\) | −13.0658 | + | 23.6281i | −0.483918 | + | 0.875113i | ||||
\(730\) | 0.934821 | 0.0345993 | ||||||||
\(731\) | −7.85396 | + | 2.85861i | −0.290489 | + | 0.105729i | ||||
\(732\) | 2.07856 | − | 5.76597i | 0.0768258 | − | 0.213116i | ||||
\(733\) | −13.1054 | − | 15.6184i | −0.484060 | − | 0.576880i | 0.467637 | − | 0.883921i | \(-0.345106\pi\) |
−0.951696 | + | 0.307041i | \(0.900661\pi\) | |||||||
\(734\) | 0.596221 | + | 3.38134i | 0.0220069 | + | 0.124807i | ||||
\(735\) | −6.60488 | − | 14.7391i | −0.243625 | − | 0.543661i | ||||
\(736\) | −0.449829 | − | 0.377452i | −0.0165809 | − | 0.0139130i | ||||
\(737\) | −21.8141 | − | 12.5944i | −0.803534 | − | 0.463921i | ||||
\(738\) | −1.36144 | + | 1.64294i | −0.0501154 | + | 0.0604775i | ||||
\(739\) | −20.0545 | − | 34.7355i | −0.737718 | − | 1.27777i | −0.953520 | − | 0.301328i | \(-0.902570\pi\) |
0.215802 | − | 0.976437i | \(-0.430763\pi\) | |||||||
\(740\) | 0.158311 | − | 0.897828i | 0.00581964 | − | 0.0330048i | ||||
\(741\) | 32.9116 | − | 12.0937i | 1.20904 | − | 0.444274i | ||||
\(742\) | 1.91963 | + | 2.54922i | 0.0704720 | + | 0.0935847i | ||||
\(743\) | −3.63149 | + | 9.97743i | −0.133226 | + | 0.366037i | −0.988311 | − | 0.152452i | \(-0.951283\pi\) |
0.855084 | + | 0.518489i | \(0.173505\pi\) | |||||||
\(744\) | −0.166489 | + | 0.961509i | −0.00610380 | + | 0.0352506i | ||||
\(745\) | −3.99787 | − | 0.704933i | −0.146471 | − | 0.0258267i | ||||
\(746\) | −1.40980 | + | 0.813947i | −0.0516164 | + | 0.0298007i | ||||
\(747\) | 12.1409 | + | 4.33446i | 0.444213 | + | 0.158590i | ||||
\(748\) | −27.9099 | − | 16.1138i | −1.02049 | − | 0.589179i | ||||
\(749\) | −46.1408 | + | 14.0898i | −1.68595 | + | 0.514829i | ||||
\(750\) | 2.15128 | − | 1.25089i | 0.0785535 | − | 0.0456759i | ||||
\(751\) | 7.18177 | + | 40.7298i | 0.262066 | + | 1.48625i | 0.777260 | + | 0.629179i | \(0.216609\pi\) |
−0.515194 | + | 0.857074i | \(0.672280\pi\) | |||||||
\(752\) | −38.0823 | + | 31.9549i | −1.38872 | + | 1.16527i | ||||
\(753\) | −31.0581 | + | 26.2242i | −1.13182 | + | 0.955663i | ||||
\(754\) | 0.836861 | + | 2.29926i | 0.0304767 | + | 0.0837340i | ||||
\(755\) | −0.816354 | −0.0297102 | ||||||||
\(756\) | 1.18427 | − | 27.2334i | 0.0430714 | − | 0.990468i | ||||
\(757\) | −23.7006 | −0.861412 | −0.430706 | − | 0.902492i | \(-0.641735\pi\) | ||||
−0.430706 | + | 0.902492i | \(0.641735\pi\) | |||||||
\(758\) | −0.337798 | − | 0.928092i | −0.0122694 | − | 0.0337098i | ||||
\(759\) | −0.505618 | − | 2.81676i | −0.0183528 | − | 0.102242i | ||||
\(760\) | −2.65706 | + | 2.22954i | −0.0963818 | + | 0.0808740i | ||||
\(761\) | 2.04815 | + | 11.6156i | 0.0742454 | + | 0.421066i | 0.999163 | + | 0.0408995i | \(0.0130223\pi\) |
−0.924918 | + | 0.380167i | \(0.875867\pi\) | |||||||
\(762\) | 4.31938 | + | 2.47610i | 0.156475 | + | 0.0896996i | ||||
\(763\) | 7.79565 | + | 25.5290i | 0.282222 | + | 0.924212i | ||||
\(764\) | −35.9971 | − | 20.7829i | −1.30233 | − | 0.751899i | ||||
\(765\) | −14.8413 | + | 0.0913861i | −0.536588 | + | 0.00330407i | ||||
\(766\) | 0.332436 | − | 0.191932i | 0.0120114 | − | 0.00693479i | ||||
\(767\) | −51.6528 | − | 9.10778i | −1.86507 | − | 0.328863i | ||||
\(768\) | −19.4778 | − | 16.2419i | −0.702846 | − | 0.586080i | ||||
\(769\) | −8.33433 | + | 22.8984i | −0.300544 | + | 0.825737i | 0.693862 | + | 0.720108i | \(0.255908\pi\) |
−0.994406 | + | 0.105629i | \(0.966314\pi\) | |||||||
\(770\) | 1.21670 | + | 1.61573i | 0.0438467 | + | 0.0582270i | ||||
\(771\) | −6.67073 | − | 5.56250i | −0.240240 | − | 0.200328i | ||||
\(772\) | 0.525021 | − | 2.97754i | 0.0188959 | − | 0.107164i | ||||
\(773\) | −1.44939 | − | 2.51041i | −0.0521309 | − | 0.0902933i | 0.838782 | − | 0.544467i | \(-0.183268\pi\) |
−0.890913 | + | 0.454173i | \(0.849935\pi\) | |||||||
\(774\) | 0.769400 | + | 0.437919i | 0.0276555 | + | 0.0157407i | ||||
\(775\) | −3.01342 | − | 1.73980i | −0.108245 | − | 0.0624955i | ||||
\(776\) | −5.89557 | − | 4.94697i | −0.211639 | − | 0.177586i | ||||
\(777\) | −1.40732 | + | 0.721935i | −0.0504872 | + | 0.0258993i | ||||
\(778\) | 0.565207 | + | 3.20545i | 0.0202637 | + | 0.114921i | ||||
\(779\) | 17.3840 | + | 20.7174i | 0.622845 | + | 0.742277i | ||||
\(780\) | −18.2836 | + | 3.28196i | −0.654657 | + | 0.117513i | ||||
\(781\) | −10.9436 | + | 3.98315i | −0.391593 | + | 0.142528i | ||||
\(782\) | 0.183830 | 0.00657374 | ||||||||
\(783\) | −15.1809 | + | 18.4350i | −0.542521 | + | 0.658814i | ||||
\(784\) | 11.0791 | + | 24.9289i | 0.395681 | + | 0.890319i | ||||
\(785\) | −0.876175 | − | 2.40727i | −0.0312720 | − | 0.0859192i | ||||
\(786\) | 1.65877 | + | 1.96453i | 0.0591664 | + | 0.0700725i | ||||
\(787\) | 5.60311 | + | 6.67753i | 0.199729 | + | 0.238028i | 0.856608 | − | 0.515969i | \(-0.172568\pi\) |
−0.656878 | + | 0.753997i | \(0.728123\pi\) | |||||||
\(788\) | 48.7689 | − | 8.59928i | 1.73732 | − | 0.306337i | ||||
\(789\) | 9.15068 | − | 5.32078i | 0.325773 | − | 0.189425i | ||||
\(790\) | 0.655010 | − | 0.780611i | 0.0233042 | − | 0.0277729i | ||||
\(791\) | −19.7188 | − | 38.7324i | −0.701120 | − | 1.37717i | ||||
\(792\) | 1.23223 | + | 6.74519i | 0.0437854 | + | 0.239680i | ||||
\(793\) | 3.62315 | + | 6.27549i | 0.128662 | + | 0.222849i | ||||
\(794\) | −0.482439 | + | 2.73605i | −0.0171211 | + | 0.0970986i | ||||
\(795\) | 20.9134 | + | 3.62124i | 0.741720 | + | 0.128432i | ||||
\(796\) | 0.561222 | − | 1.54195i | 0.0198920 | − | 0.0546528i | ||||
\(797\) | 11.0381 | + | 4.01755i | 0.390990 | + | 0.142309i | 0.530032 | − | 0.847978i | \(-0.322180\pi\) |
−0.139042 | + | 0.990287i | \(0.544402\pi\) | |||||||
\(798\) | 2.92089 | + | 0.665904i | 0.103398 | + | 0.0235727i | ||||
\(799\) | 8.22624 | − | 46.6533i | 0.291023 | − | 1.65048i | ||||
\(800\) | −4.34482 | + | 2.50848i | −0.153612 | + | 0.0886882i | ||||
\(801\) | 31.4658 | − | 11.6725i | 1.11179 | − | 0.412429i | ||||
\(802\) | −0.0891128 | + | 0.154348i | −0.00314668 | + | 0.00545021i | ||||
\(803\) | −17.9432 | − | 15.0561i | −0.633201 | − | 0.531319i | ||||
\(804\) | 19.7654 | − | 0.0608529i | 0.697073 | − | 0.00214612i | ||||
\(805\) | 1.22462 | + | 0.520303i | 0.0431621 | + | 0.0183383i | ||||
\(806\) | −0.369183 | − | 0.439975i | −0.0130039 | − | 0.0154975i | ||||
\(807\) | −7.75260 | − | 2.79471i | −0.272904 | − | 0.0983786i | ||||
\(808\) | 2.17749 | + | 5.98260i | 0.0766038 | + | 0.210467i | ||||
\(809\) | 13.3913i | 0.470814i | 0.971897 | + | 0.235407i | \(0.0756423\pi\) | ||||
−0.971897 | + | 0.235407i | \(0.924358\pi\) | |||||||
\(810\) | 1.02525 | + | 1.19172i | 0.0360234 | + | 0.0418728i | ||||
\(811\) | − | 14.2545i | − | 0.500543i | −0.968176 | − | 0.250272i | \(-0.919480\pi\) | ||
0.968176 | − | 0.250272i | \(-0.0805200\pi\) | |||||||
\(812\) | 5.43151 | − | 23.4906i | 0.190609 | − | 0.824357i | ||||
\(813\) | −6.90804 | + | 19.1631i | −0.242276 | + | 0.672078i | ||||
\(814\) | 0.151732 | − | 0.127318i | 0.00531820 | − | 0.00446250i | ||||
\(815\) | 3.32517 | + | 18.8580i | 0.116476 | + | 0.660566i | ||||
\(816\) | 25.0676 | − | 0.0771768i | 0.877540 | − | 0.00270173i | ||||
\(817\) | 7.21271 | − | 8.59577i | 0.252341 | − | 0.300728i | ||||
\(818\) | −1.73656 | + | 3.00782i | −0.0607176 | + | 0.105166i | ||||
\(819\) | 23.6973 | + | 21.8415i | 0.828049 | + | 0.763203i | ||||
\(820\) | −7.16385 | − | 12.4081i | −0.250172 | − | 0.433311i | ||||
\(821\) | 53.2811 | + | 9.39490i | 1.85952 | + | 0.327884i | 0.987004 | − | 0.160695i | \(-0.0513735\pi\) |
0.872520 | + | 0.488579i | \(0.162485\pi\) | |||||||
\(822\) | 2.44215 | − | 0.897393i | 0.0851796 | − | 0.0313002i | ||||
\(823\) | −24.0026 | − | 8.73623i | −0.836678 | − | 0.304526i | −0.112081 | − | 0.993699i | \(-0.535752\pi\) |
−0.724597 | + | 0.689173i | \(0.757974\pi\) | |||||||
\(824\) | −4.41294 | − | 1.60618i | −0.153732 | − | 0.0559539i | ||||
\(825\) | −24.0918 | − | 4.17159i | −0.838768 | − | 0.145236i | ||||
\(826\) | −3.27642 | − | 3.05736i | −0.114001 | − | 0.106379i | ||||
\(827\) | 35.7068 | − | 20.6154i | 1.24165 | − | 0.716866i | 0.272219 | − | 0.962235i | \(-0.412243\pi\) |
0.969430 | + | 0.245369i | \(0.0789092\pi\) | |||||||
\(828\) | 1.45403 | + | 1.71133i | 0.0505309 | + | 0.0594728i | ||||
\(829\) | 19.7340 | + | 11.3934i | 0.685389 | + | 0.395710i | 0.801883 | − | 0.597482i | \(-0.203832\pi\) |
−0.116493 | + | 0.993191i | \(0.537165\pi\) | |||||||
\(830\) | 0.482471 | − | 0.574986i | 0.0167468 | − | 0.0199581i | ||||
\(831\) | −3.86454 | − | 6.64623i | −0.134059 | − | 0.230555i | ||||
\(832\) | 30.3506 | − | 5.35164i | 1.05222 | − | 0.185535i | ||||
\(833\) | −23.3574 | − | 11.4115i | −0.809285 | − | 0.395386i | ||||
\(834\) | 2.59073 | − | 2.18751i | 0.0897097 | − | 0.0757473i | ||||
\(835\) | 19.6562 | − | 7.15427i | 0.680231 | − | 0.247584i | ||||
\(836\) | 43.2670 | 1.49642 | ||||||||
\(837\) | 1.86852 | − | 5.28510i | 0.0645855 | − | 0.182680i | ||||
\(838\) | 2.23602i | 0.0772420i | ||||||||
\(839\) | −17.3731 | + | 6.32330i | −0.599786 | + | 0.218304i | −0.624028 | − | 0.781402i | \(-0.714505\pi\) |
0.0242419 | + | 0.999706i | \(0.492283\pi\) | |||||||
\(840\) | −2.93800 | − | 1.23760i | −0.101371 | − | 0.0427014i | ||||
\(841\) | 6.03445 | − | 5.06350i | 0.208084 | − | 0.174604i | ||||
\(842\) | 2.34869 | − | 0.414137i | 0.0809411 | − | 0.0142721i | ||||
\(843\) | 13.3822 | + | 7.67139i | 0.460908 | + | 0.264217i | ||||
\(844\) | 9.00832 | + | 7.55887i | 0.310079 | + | 0.260187i | ||||
\(845\) | 2.32184 | − | 4.02154i | 0.0798736 | − | 0.138345i | ||||
\(846\) | −4.33005 | + | 2.53563i | −0.148870 | + | 0.0871768i | ||||
\(847\) | 1.13641 | − | 21.5459i | 0.0390474 | − | 0.740326i | ||||
\(848\) | −35.3041 | − | 6.22506i | −1.21235 | − | 0.213769i | ||||
\(849\) | 26.3761 | − | 31.6311i | 0.905225 | − | 1.08557i | ||||
\(850\) | 0.537174 | − | 1.47587i | 0.0184249 | − | 0.0506220i | ||||
\(851\) | 0.0445655 | − | 0.122443i | 0.00152768 | − | 0.00419728i | ||||
\(852\) | 5.85255 | − | 7.01857i | 0.200505 | − | 0.240452i | ||||
\(853\) | 52.2825 | + | 9.21881i | 1.79012 | + | 0.315646i | 0.967485 | − | 0.252927i | \(-0.0813932\pi\) |
0.822633 | + | 0.568573i | \(0.192504\pi\) | |||||||
\(854\) | −0.0326098 | + | 0.618271i | −0.00111588 | + | 0.0211568i | ||||
\(855\) | 17.1943 | − | 10.0688i | 0.588031 | − | 0.344345i | ||||
\(856\) | −4.76131 | + | 8.24683i | −0.162738 | + | 0.281871i | ||||
\(857\) | −5.81262 | − | 4.87737i | −0.198555 | − | 0.166608i | 0.538089 | − | 0.842888i | \(-0.319146\pi\) |
−0.736644 | + | 0.676280i | \(0.763591\pi\) | |||||||
\(858\) | −3.50129 | − | 2.00713i | −0.119532 | − | 0.0685221i | ||||
\(859\) | −53.9268 | + | 9.50876i | −1.83996 | + | 0.324435i | −0.981942 | − | 0.189184i | \(-0.939416\pi\) |
−0.858018 | + | 0.513619i | \(0.828305\pi\) | |||||||
\(860\) | −4.55387 | + | 3.82115i | −0.155286 | + | 0.130300i | ||||
\(861\) | −9.64972 | + | 22.9079i | −0.328862 | + | 0.780698i | ||||
\(862\) | 0.434681 | − | 0.158211i | 0.0148053 | − | 0.00538869i | ||||
\(863\) | 17.9590i | 0.611331i | 0.952139 | + | 0.305666i | \(0.0988789\pi\) | ||||
−0.952139 | + | 0.305666i | \(0.901121\pi\) | |||||||
\(864\) | −5.25222 | − | 6.14322i | −0.178684 | − | 0.208997i | ||||
\(865\) | −5.82585 | −0.198085 | ||||||||
\(866\) | 2.41007 | − | 0.877195i | 0.0818976 | − | 0.0298083i | ||||
\(867\) | 4.24594 | − | 3.58510i | 0.144200 | − | 0.121756i | ||||
\(868\) | 0.687835 | + | 5.61752i | 0.0233466 | + | 0.190671i | ||||
\(869\) | −25.1449 | + | 4.43372i | −0.852981 | + | 0.150404i | ||||
\(870\) | 0.698932 | + | 1.20202i | 0.0236960 | + | 0.0407524i | ||||
\(871\) | −15.0207 | + | 17.9010i | −0.508958 | + | 0.606552i | ||||
\(872\) | 4.56285 | + | 2.63436i | 0.154518 | + | 0.0892108i | ||||
\(873\) | 28.6264 | + | 33.6921i | 0.968856 | + | 1.14030i | ||||
\(874\) | −0.213735 | + | 0.123400i | −0.00722968 | + | 0.00417406i | ||||
\(875\) | 19.7786 | − | 21.1957i | 0.668639 | − | 0.716546i | ||||
\(876\) | 18.1106 | + | 3.13592i | 0.611899 | + | 0.105953i | ||||
\(877\) | 4.40950 | + | 1.60493i | 0.148898 | + | 0.0541946i | 0.415394 | − | 0.909642i | \(-0.363644\pi\) |
−0.266496 | + | 0.963836i | \(0.585866\pi\) | |||||||
\(878\) | −0.980901 | − | 0.357019i | −0.0331038 | − | 0.0120488i | ||||
\(879\) | 43.1714 | − | 15.8638i | 1.45614 | − | 0.535073i | ||||
\(880\) | −22.3763 | − | 3.94554i | −0.754305 | − | 0.133004i | ||||
\(881\) | −2.44317 | − | 4.23170i | −0.0823125 | − | 0.142569i | 0.821930 | − | 0.569588i | \(-0.192897\pi\) |
−0.904243 | + | 0.427019i | \(0.859564\pi\) | |||||||
\(882\) | 0.680793 | + | 2.66805i | 0.0229235 | + | 0.0898380i | ||||
\(883\) | 11.8954 | − | 20.6034i | 0.400312 | − | 0.693361i | −0.593451 | − | 0.804870i | \(-0.702235\pi\) |
0.993763 | + | 0.111509i | \(0.0355684\pi\) | |||||||
\(884\) | −19.2182 | + | 22.9033i | −0.646376 | + | 0.770321i | ||||
\(885\) | −29.8055 | + | 0.0917636i | −1.00190 | + | 0.00308460i | ||||
\(886\) | −0.635004 | − | 3.60128i | −0.0213334 | − | 0.120988i | ||||
\(887\) | −17.0442 | + | 14.3018i | −0.572290 | + | 0.480208i | −0.882405 | − | 0.470491i | \(-0.844077\pi\) |
0.310115 | + | 0.950699i | \(0.399632\pi\) | |||||||
\(888\) | −0.105875 | + | 0.293699i | −0.00355293 | + | 0.00985590i | ||||
\(889\) | 56.5104 | + | 13.0664i | 1.89530 | + | 0.438233i | ||||
\(890\) | − | 1.95406i | − | 0.0655002i | ||||||
\(891\) | −0.485071 | − | 39.3867i | −0.0162505 | − | 1.31950i | ||||
\(892\) | − | 28.8227i | − | 0.965056i | ||||||
\(893\) | 21.7526 | + | 59.7648i | 0.727923 | + | 1.99995i | ||||
\(894\) | 0.651073 | + | 0.234704i | 0.0217751 | + | 0.00784967i | ||||
\(895\) | −11.9818 | − | 14.2793i | −0.400506 | − | 0.477305i | ||||
\(896\) | 9.99884 | + | 4.24821i | 0.334038 | + | 0.141923i | ||||
\(897\) | −2.65491 | + | 0.00817382i | −0.0886450 | + | 0.000272916i | ||||
\(898\) | 1.75635 | + | 1.47375i | 0.0586100 | + | 0.0491797i | ||||
\(899\) | 2.47908 | − | 4.29389i | 0.0826818 | − | 0.143209i | ||||
\(900\) | 17.9882 | − | 6.67289i | 0.599607 | − | 0.222430i | ||||
\(901\) | 29.5846 | − | 17.0807i | 0.985606 | − | 0.569040i | ||||
\(902\) | 0.540539 | − | 3.06555i | 0.0179980 | − | 0.102072i | ||||
\(903\) | 10.0555 | + | 2.29244i | 0.334625 | + | 0.0762877i | ||||
\(904\) | −8.06153 | − | 2.93416i | −0.268123 | − | 0.0975887i | ||||
\(905\) | 9.88737 | − | 27.1653i | 0.328667 | − | 0.903006i | ||||
\(906\) | 0.137134 | + | 0.0237454i | 0.00455598 | + | 0.000788887i | ||||
\(907\) | −3.61323 | + | 20.4917i | −0.119975 | + | 0.680414i | 0.864191 | + | 0.503165i | \(0.167831\pi\) |
−0.984166 | + | 0.177249i | \(0.943280\pi\) | |||||||
\(908\) | −6.60939 | − | 11.4478i | −0.219340 | − | 0.379908i | ||||
\(909\) | −6.57254 | − | 35.9779i | −0.217998 | − | 1.19331i | ||||
\(910\) | 1.67218 | − | 0.851312i | 0.0554322 | − | 0.0282207i | ||||
\(911\) | −9.26438 | + | 11.0409i | −0.306942 | + | 0.365800i | −0.897361 | − | 0.441298i | \(-0.854518\pi\) |
0.590418 | + | 0.807097i | \(0.298963\pi\) | |||||||
\(912\) | −29.0937 | + | 16.9169i | −0.963388 | + | 0.560174i | ||||
\(913\) | −18.5213 | + | 3.26581i | −0.612966 | + | 0.108082i | ||||
\(914\) | 2.26730 | + | 2.70206i | 0.0749955 | + | 0.0893761i | ||||
\(915\) | 2.65661 | + | 3.14630i | 0.0878249 | + | 0.104014i | ||||
\(916\) | 12.0760 | + | 33.1785i | 0.399002 | + | 1.09625i | ||||
\(917\) | 25.1156 | + | 16.3222i | 0.829390 | + | 0.539007i | ||||
\(918\) | 2.49575 | + | 0.416338i | 0.0823721 | + | 0.0137412i | ||||
\(919\) | −23.8940 | −0.788192 | −0.394096 | − | 0.919069i | \(-0.628942\pi\) | ||||
−0.394096 | + | 0.919069i | \(0.628942\pi\) | |||||||
\(920\) | 0.246794 | − | 0.0898255i | 0.00813655 | − | 0.00296146i | ||||
\(921\) | −54.3618 | + | 9.75812i | −1.79128 | + | 0.321541i | ||||
\(922\) | −1.55997 | − | 1.85910i | −0.0513749 | − | 0.0612262i | ||||
\(923\) | 1.87612 | + | 10.6400i | 0.0617533 | + | 0.350220i | ||||
\(924\) | 18.1513 | + | 35.3836i | 0.597134 | + | 1.16403i | ||||
\(925\) | −0.852801 | − | 0.715585i | −0.0280399 | − | 0.0235283i | ||||
\(926\) | 1.72548 | + | 0.996204i | 0.0567027 | + | 0.0327373i | ||||
\(927\) | 23.4458 | + | 13.3447i | 0.770063 | + | 0.438296i | ||||
\(928\) | −3.57438 | − | 6.19101i | −0.117335 | − | 0.203230i | ||||
\(929\) | −8.22973 | + | 46.6731i | −0.270009 | + | 1.53129i | 0.484375 | + | 0.874861i | \(0.339047\pi\) |
−0.754383 | + | 0.656434i | \(0.772064\pi\) | |||||||
\(930\) | −0.250670 | − | 0.209025i | −0.00821979 | − | 0.00685421i | ||||
\(931\) | 34.8173 | − | 2.41123i | 1.14109 | − | 0.0790249i | ||||
\(932\) | −10.8837 | + | 29.9028i | −0.356508 | + | 0.979497i | ||||
\(933\) | −8.02658 | − | 6.69309i | −0.262778 | − | 0.219122i | ||||
\(934\) | 3.32394 | + | 0.586100i | 0.108763 | + | 0.0191778i | ||||
\(935\) | 18.7512 | − | 10.8260i | 0.613230 | − | 0.354048i | ||||
\(936\) | 6.36107 | − | 0.0391687i | 0.207918 | − | 0.00128027i | ||||
\(937\) | −3.48018 | − | 2.00928i | −0.113693 | − | 0.0656404i | 0.442075 | − | 0.896978i | \(-0.354242\pi\) |
−0.555768 | + | 0.831337i | \(0.687576\pi\) | |||||||
\(938\) | −1.90954 | + | 0.583107i | −0.0623488 | + | 0.0190391i | ||||
\(939\) | −7.07628 | − | 4.05649i | −0.230926 | − | 0.132379i | ||||
\(940\) | −5.85093 | − | 33.1823i | −0.190836 | − | 1.08229i | ||||
\(941\) | 17.4001 | − | 14.6004i | 0.567227 | − | 0.475960i | −0.313497 | − | 0.949589i | \(-0.601501\pi\) |
0.880725 | + | 0.473629i | \(0.157056\pi\) | |||||||
\(942\) | 0.0771626 | + | 0.429868i | 0.00251409 | + | 0.0140058i | ||||
\(943\) | −0.700379 | − | 1.92427i | −0.0228075 | − | 0.0626630i | ||||
\(944\) | 50.3422 | 1.63850 | ||||||||
\(945\) | 15.4475 | + | 9.83737i | 0.502508 | + | 0.320010i | ||||
\(946\) | −1.29154 | −0.0419915 | ||||||||
\(947\) | −16.2795 | − | 44.7277i | −0.529014 | − | 1.45345i | −0.860234 | − | 0.509900i | \(-0.829682\pi\) |
0.331220 | − | 0.943554i | \(-0.392540\pi\) | |||||||
\(948\) | 15.3083 | − | 12.9257i | 0.497191 | − | 0.419808i | ||||
\(949\) | −16.6462 | + | 13.9678i | −0.540359 | + | 0.453415i | ||||
\(950\) | 0.366152 | + | 2.07655i | 0.0118795 | + | 0.0673722i | ||||
\(951\) | −22.3062 | + | 12.9702i | −0.723329 | + | 0.420589i | ||||
\(952\) | −4.90748 | + | 1.49857i | −0.159052 | + | 0.0485690i | ||||
\(953\) | −33.3461 | − | 19.2524i | −1.08019 | − | 0.623646i | −0.149240 | − | 0.988801i | \(-0.547683\pi\) |
−0.930947 | + | 0.365155i | \(0.881016\pi\) | |||||||
\(954\) | −3.40777 | − | 1.21662i | −0.110331 | − | 0.0393894i | ||||
\(955\) | 24.1845 | − | 13.9629i | 0.782592 | − | 0.451830i | ||||
\(956\) | −3.98567 | − | 0.702781i | −0.128906 | − | 0.0227296i | ||||
\(957\) | 5.94419 | − | 34.3289i | 0.192148 | − | 1.10969i | ||||
\(958\) | −0.102749 | + | 0.282301i | −0.00331968 | + | 0.00912074i | ||||
\(959\) | 24.2130 | − | 18.2331i | 0.781880 | − | 0.588778i | ||||
\(960\) | 16.4387 | − | 6.04059i | 0.530558 | − | 0.194959i | ||||
\(961\) | 5.18100 | − | 29.3829i | 0.167129 | − | 0.947835i | ||||
\(962\) | −0.0918774 | − | 0.159136i | −0.00296225 | − | 0.00513076i | ||||
\(963\) | 34.9041 | − | 42.1212i | 1.12477 | − | 1.35734i | ||||
\(964\) | −17.8445 | − | 10.3025i | −0.574734 | − | 0.331823i | ||||
\(965\) | 1.55608 | + | 1.30570i | 0.0500918 | + | 0.0420320i | ||||
\(966\) | −0.190582 | − | 0.123023i | −0.00613186 | − | 0.00395820i | ||||
\(967\) | 0.214600 | + | 1.21706i | 0.00690107 | + | 0.0391379i | 0.988064 | − | 0.154045i | \(-0.0492301\pi\) |
−0.981163 | + | 0.193183i | \(0.938119\pi\) | |||||||
\(968\) | −2.73746 | − | 3.26238i | −0.0879853 | − | 0.104857i | ||||
\(969\) | 10.8759 | − | 30.1699i | 0.349384 | − | 0.969198i | ||||
\(970\) | 2.41891 | − | 0.880410i | 0.0776664 | − | 0.0282683i | ||||
\(971\) | 55.5761 | 1.78352 | 0.891761 | − | 0.452507i | \(-0.149470\pi\) | ||||
0.891761 | + | 0.452507i | \(0.149470\pi\) | |||||||
\(972\) | 15.8647 | + | 26.5268i | 0.508859 | + | 0.850849i | ||||
\(973\) | 21.5250 | − | 33.1213i | 0.690059 | − | 1.06182i | ||||
\(974\) | −1.57372 | − | 4.32376i | −0.0504253 | − | 0.138542i | ||||
\(975\) | −7.69237 | + | 21.3388i | −0.246353 | + | 0.683388i | ||||
\(976\) | −4.47069 | − | 5.32796i | −0.143103 | − | 0.170544i | ||||
\(977\) | −13.4072 | + | 2.36405i | −0.428933 | + | 0.0756325i | −0.383947 | − | 0.923355i | \(-0.625436\pi\) |
−0.0449862 | + | 0.998988i | \(0.514324\pi\) | |||||||
\(978\) | −0.0100507 | − | 3.26455i | −0.000321387 | − | 0.104389i | ||||
\(979\) | −31.4719 | + | 37.5067i | −1.00585 | + | 1.19872i | ||||
\(980\) | −18.3871 | − | 1.94501i | −0.587354 | − | 0.0621311i | ||||
\(981\) | −23.3050 | − | 19.3119i | −0.744072 | − | 0.616583i | ||||
\(982\) | −1.48909 | − | 2.57919i | −0.0475189 | − | 0.0823052i | ||||
\(983\) | 1.53261 | − | 8.69187i | 0.0488827 | − | 0.277228i | −0.950563 | − | 0.310533i | \(-0.899492\pi\) |
0.999445 | + | 0.0333057i | \(0.0106035\pi\) | |||||||
\(984\) | 1.69229 | + | 4.60536i | 0.0539482 | + | 0.146814i | ||||
\(985\) | −11.3792 | + | 31.2642i | −0.362573 | + | 0.996161i | ||||
\(986\) | 2.10300 | + | 0.765429i | 0.0669732 | + | 0.0243762i | ||||
\(987\) | −39.7498 | + | 42.8616i | −1.26525 | + | 1.36430i | ||||
\(988\) | 6.97016 | − | 39.5297i | 0.221750 | − | 1.25761i | ||||
\(989\) | −0.735803 | + | 0.424816i | −0.0233972 | + | 0.0135084i | ||||
\(990\) | −2.15990 | − | 0.771112i | −0.0686462 | − | 0.0245075i | ||||
\(991\) | 7.38836 | − | 12.7970i | 0.234699 | − | 0.406511i | −0.724486 | − | 0.689289i | \(-0.757923\pi\) |
0.959185 | + | 0.282779i | \(0.0912562\pi\) | |||||||
\(992\) | 1.28546 | + | 1.07863i | 0.0408133 | + | 0.0342465i | ||||
\(993\) | 9.35368 | + | 16.0865i | 0.296830 | + | 0.510489i | ||||
\(994\) | −0.360974 | + | 0.849611i | −0.0114494 | + | 0.0269480i | ||||
\(995\) | 0.708632 | + | 0.844515i | 0.0224651 | + | 0.0267729i | ||||
\(996\) | 11.2759 | − | 9.52089i | 0.357290 | − | 0.301681i | ||||
\(997\) | −0.491617 | − | 1.35071i | −0.0155697 | − | 0.0427773i | 0.931664 | − | 0.363320i | \(-0.118357\pi\) |
−0.947234 | + | 0.320543i | \(0.896135\pi\) | |||||||
\(998\) | 2.56099i | 0.0810667i | ||||||||
\(999\) | 0.882348 | − | 1.56140i | 0.0279163 | − | 0.0494005i |
(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 | 189.2.be.a.20.12 | yes | 132 | |
3.2 | odd | 2 | 567.2.be.a.62.11 | 132 | |||
7.6 | odd | 2 | inner | 189.2.be.a.20.11 | ✓ | 132 | |
21.20 | even | 2 | 567.2.be.a.62.12 | 132 | |||
27.4 | even | 9 | 567.2.be.a.503.12 | 132 | |||
27.23 | odd | 18 | inner | 189.2.be.a.104.11 | yes | 132 | |
189.104 | even | 18 | inner | 189.2.be.a.104.12 | yes | 132 | |
189.139 | odd | 18 | 567.2.be.a.503.11 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.20.11 | ✓ | 132 | 7.6 | odd | 2 | inner | |
189.2.be.a.20.12 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.be.a.104.11 | yes | 132 | 27.23 | odd | 18 | inner | |
189.2.be.a.104.12 | yes | 132 | 189.104 | even | 18 | inner | |
567.2.be.a.62.11 | 132 | 3.2 | odd | 2 | |||
567.2.be.a.62.12 | 132 | 21.20 | even | 2 | |||
567.2.be.a.503.11 | 132 | 189.139 | odd | 18 | |||
567.2.be.a.503.12 | 132 | 27.4 | even | 9 |