Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [574,2,Mod(43,574)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(574, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("574.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 574 = 2 \cdot 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 574.u (of order \(20\), degree \(8\), 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: | \(4.58341307602\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 169.2 | ||
Character | \(\chi\) | \(=\) | 574.169 |
Dual form | 574.2.u.a.197.2 |
$q$-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 \(\left(\mathbb{Z}/574\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(493\) |
\(\chi(n)\) | \(e\left(\frac{11}{20}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587785 | − | 0.809017i | −0.415627 | − | 0.572061i | ||||
\(3\) | −1.38661 | − | 1.38661i | −0.800558 | − | 0.800558i | 0.182625 | − | 0.983183i | \(-0.441541\pi\) |
−0.983183 | + | 0.182625i | \(0.941541\pi\) | |||||||
\(4\) | −0.309017 | + | 0.951057i | −0.154508 | + | 0.475528i | ||||
\(5\) | 1.51658 | + | 0.492765i | 0.678233 | + | 0.220371i | 0.627822 | − | 0.778357i | \(-0.283947\pi\) |
0.0504115 | + | 0.998729i | \(0.483947\pi\) | |||||||
\(6\) | −0.306761 | + | 1.93682i | −0.125235 | + | 0.790702i | ||||
\(7\) | 0.156434 | + | 0.987688i | 0.0591267 | + | 0.373311i | ||||
\(8\) | 0.951057 | − | 0.309017i | 0.336249 | − | 0.109254i | ||||
\(9\) | 0.845358i | 0.281786i | ||||||||
\(10\) | −0.492765 | − | 1.51658i | −0.155826 | − | 0.479583i | ||||
\(11\) | −1.27582 | + | 2.50394i | −0.384675 | + | 0.754967i | −0.999430 | − | 0.0337508i | \(-0.989255\pi\) |
0.614755 | + | 0.788718i | \(0.289255\pi\) | |||||||
\(12\) | 1.74723 | − | 0.890256i | 0.504381 | − | 0.256995i | ||||
\(13\) | −5.14839 | − | 0.815424i | −1.42791 | − | 0.226158i | −0.605856 | − | 0.795574i | \(-0.707169\pi\) |
−0.822049 | + | 0.569416i | \(0.807169\pi\) | |||||||
\(14\) | 0.707107 | − | 0.707107i | 0.188982 | − | 0.188982i | ||||
\(15\) | −1.41962 | − | 2.78617i | −0.366545 | − | 0.719385i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | −5.11559 | − | 2.60652i | −1.24071 | − | 0.632175i | −0.294479 | − | 0.955658i | \(-0.595146\pi\) |
−0.946234 | + | 0.323483i | \(0.895146\pi\) | |||||||
\(18\) | 0.683909 | − | 0.496889i | 0.161199 | − | 0.117118i | ||||
\(19\) | −1.87485 | + | 0.296947i | −0.430119 | + | 0.0681242i | −0.367741 | − | 0.929928i | \(-0.619869\pi\) |
−0.0623786 | + | 0.998053i | \(0.519869\pi\) | |||||||
\(20\) | −0.937295 | + | 1.29008i | −0.209586 | + | 0.288470i | ||||
\(21\) | 1.15262 | − | 1.58645i | 0.251523 | − | 0.346191i | ||||
\(22\) | 2.77564 | − | 0.439618i | 0.591769 | − | 0.0937270i | ||||
\(23\) | 0.969791 | − | 0.704595i | 0.202215 | − | 0.146918i | −0.482069 | − | 0.876133i | \(-0.660115\pi\) |
0.684285 | + | 0.729215i | \(0.260115\pi\) | |||||||
\(24\) | −1.74723 | − | 0.890256i | −0.356651 | − | 0.181723i | ||||
\(25\) | −1.98790 | − | 1.44430i | −0.397580 | − | 0.288859i | ||||
\(26\) | 2.36645 | + | 4.64443i | 0.464100 | + | 0.910847i | ||||
\(27\) | −2.98764 | + | 2.98764i | −0.574972 | + | 0.574972i | ||||
\(28\) | −0.987688 | − | 0.156434i | −0.186656 | − | 0.0295633i | ||||
\(29\) | −1.95086 | + | 0.994011i | −0.362265 | + | 0.184583i | −0.625643 | − | 0.780109i | \(-0.715163\pi\) |
0.263378 | + | 0.964693i | \(0.415163\pi\) | |||||||
\(30\) | −1.41962 | + | 2.78617i | −0.259186 | + | 0.508682i | ||||
\(31\) | 1.60902 | + | 4.95206i | 0.288989 | + | 0.889416i | 0.985175 | + | 0.171554i | \(0.0548789\pi\) |
−0.696186 | + | 0.717861i | \(0.745121\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 5.24105 | − | 1.70292i | 0.912349 | − | 0.296440i | ||||
\(34\) | 0.898147 | + | 5.67068i | 0.154031 | + | 0.972513i | ||||
\(35\) | −0.249454 | + | 1.57499i | −0.0421654 | + | 0.266222i | ||||
\(36\) | −0.803983 | − | 0.261230i | −0.133997 | − | 0.0435383i | ||||
\(37\) | 0.437468 | − | 1.34639i | 0.0719192 | − | 0.221345i | −0.908636 | − | 0.417590i | \(-0.862875\pi\) |
0.980555 | + | 0.196245i | \(0.0628749\pi\) | |||||||
\(38\) | 1.34224 | + | 1.34224i | 0.217740 | + | 0.217740i | ||||
\(39\) | 6.00811 | + | 8.26946i | 0.962068 | + | 1.32417i | ||||
\(40\) | 1.59462 | 0.252132 | ||||||||
\(41\) | −5.55050 | + | 3.19248i | −0.866843 | + | 0.498582i | ||||
\(42\) | −1.96096 | −0.302582 | ||||||||
\(43\) | −1.05360 | − | 1.45015i | −0.160672 | − | 0.221146i | 0.721089 | − | 0.692842i | \(-0.243642\pi\) |
−0.881761 | + | 0.471696i | \(0.843642\pi\) | |||||||
\(44\) | −1.98714 | − | 1.98714i | −0.299573 | − | 0.299573i | ||||
\(45\) | −0.416563 | + | 1.28205i | −0.0620975 | + | 0.191117i | ||||
\(46\) | −1.14006 | − | 0.370427i | −0.168092 | − | 0.0546165i | ||||
\(47\) | −0.915936 | + | 5.78299i | −0.133603 | + | 0.843536i | 0.826305 | + | 0.563222i | \(0.190439\pi\) |
−0.959908 | + | 0.280314i | \(0.909561\pi\) | |||||||
\(48\) | 0.306761 | + | 1.93682i | 0.0442772 | + | 0.279555i | ||||
\(49\) | −0.951057 | + | 0.309017i | −0.135865 | + | 0.0441453i | ||||
\(50\) | 2.45718i | 0.347498i | ||||||||
\(51\) | 3.47909 | + | 10.7075i | 0.487170 | + | 1.49936i | ||||
\(52\) | 2.36645 | − | 4.64443i | 0.328168 | − | 0.644066i | ||||
\(53\) | 0.828181 | − | 0.421979i | 0.113759 | − | 0.0579633i | −0.396185 | − | 0.918171i | \(-0.629666\pi\) |
0.509944 | + | 0.860207i | \(0.329666\pi\) | |||||||
\(54\) | 4.17315 | + | 0.660961i | 0.567893 | + | 0.0899454i | ||||
\(55\) | −3.16874 | + | 3.16874i | −0.427272 | + | 0.427272i | ||||
\(56\) | 0.453990 | + | 0.891007i | 0.0606670 | + | 0.119066i | ||||
\(57\) | 3.01142 | + | 2.18793i | 0.398873 | + | 0.289798i | ||||
\(58\) | 1.95086 | + | 0.994011i | 0.256160 | + | 0.130520i | ||||
\(59\) | 6.29541 | − | 4.57388i | 0.819592 | − | 0.595469i | −0.0970034 | − | 0.995284i | \(-0.530926\pi\) |
0.916596 | + | 0.399815i | \(0.130926\pi\) | |||||||
\(60\) | 3.08849 | − | 0.489169i | 0.398722 | − | 0.0631514i | ||||
\(61\) | 3.77924 | − | 5.20167i | 0.483881 | − | 0.666006i | −0.495364 | − | 0.868686i | \(-0.664965\pi\) |
0.979245 | + | 0.202680i | \(0.0649651\pi\) | |||||||
\(62\) | 3.06054 | − | 4.21247i | 0.388689 | − | 0.534984i | ||||
\(63\) | −0.834950 | + | 0.132243i | −0.105194 | + | 0.0166611i | ||||
\(64\) | 0.809017 | − | 0.587785i | 0.101127 | − | 0.0734732i | ||||
\(65\) | −7.40610 | − | 3.77360i | −0.918614 | − | 0.468057i | ||||
\(66\) | −4.45830 | − | 3.23915i | −0.548779 | − | 0.398711i | ||||
\(67\) | −1.15389 | − | 2.26463i | −0.140970 | − | 0.276668i | 0.809718 | − | 0.586820i | \(-0.199620\pi\) |
−0.950687 | + | 0.310151i | \(0.899620\pi\) | |||||||
\(68\) | 4.05976 | − | 4.05976i | 0.492318 | − | 0.492318i | ||||
\(69\) | −2.32171 | − | 0.367724i | −0.279502 | − | 0.0442687i | ||||
\(70\) | 1.42082 | − | 0.723943i | 0.169820 | − | 0.0865278i | ||||
\(71\) | −6.26660 | + | 12.2989i | −0.743709 | + | 1.45961i | 0.139298 | + | 0.990251i | \(0.455516\pi\) |
−0.883007 | + | 0.469361i | \(0.844484\pi\) | |||||||
\(72\) | 0.261230 | + | 0.803983i | 0.0307862 | + | 0.0947503i | ||||
\(73\) | 5.70230i | 0.667404i | 0.942679 | + | 0.333702i | \(0.108298\pi\) | ||||
−0.942679 | + | 0.333702i | \(0.891702\pi\) | |||||||
\(74\) | −1.34639 | + | 0.437468i | −0.156514 | + | 0.0508546i | ||||
\(75\) | 0.753769 | + | 4.75911i | 0.0870377 | + | 0.549534i | ||||
\(76\) | 0.296947 | − | 1.87485i | 0.0340621 | − | 0.215060i | ||||
\(77\) | −2.67270 | − | 0.868412i | −0.304582 | − | 0.0989647i | ||||
\(78\) | 3.15865 | − | 9.72133i | 0.357647 | − | 1.10072i | ||||
\(79\) | 6.80085 | + | 6.80085i | 0.765156 | + | 0.765156i | 0.977249 | − | 0.212094i | \(-0.0680282\pi\) |
−0.212094 | + | 0.977249i | \(0.568028\pi\) | |||||||
\(80\) | −0.937295 | − | 1.29008i | −0.104793 | − | 0.144235i | ||||
\(81\) | 10.8214 | 1.20238 | ||||||||
\(82\) | 5.84527 | + | 2.61396i | 0.645503 | + | 0.288663i | ||||
\(83\) | −15.3729 | −1.68740 | −0.843698 | − | 0.536818i | \(-0.819626\pi\) | ||||
−0.843698 | + | 0.536818i | \(0.819626\pi\) | |||||||
\(84\) | 1.15262 | + | 1.58645i | 0.125761 | + | 0.173096i | ||||
\(85\) | −6.47378 | − | 6.47378i | −0.702180 | − | 0.702180i | ||||
\(86\) | −0.553909 | + | 1.70476i | −0.0597295 | + | 0.183829i | ||||
\(87\) | 4.08337 | + | 1.32677i | 0.437784 | + | 0.142245i | ||||
\(88\) | −0.439618 | + | 2.77564i | −0.0468635 | + | 0.295884i | ||||
\(89\) | −2.63706 | − | 16.6498i | −0.279528 | − | 1.76487i | −0.583426 | − | 0.812166i | \(-0.698288\pi\) |
0.303898 | − | 0.952704i | \(-0.401712\pi\) | |||||||
\(90\) | 1.28205 | − | 0.416563i | 0.135140 | − | 0.0439096i | ||||
\(91\) | − | 5.21256i | − | 0.546425i | ||||||
\(92\) | 0.370427 | + | 1.14006i | 0.0386197 | + | 0.118859i | ||||
\(93\) | 4.63548 | − | 9.09763i | 0.480677 | − | 0.943381i | ||||
\(94\) | 5.21691 | − | 2.65815i | 0.538084 | − | 0.274167i | ||||
\(95\) | −2.98967 | − | 0.473517i | −0.306734 | − | 0.0485819i | ||||
\(96\) | 1.38661 | − | 1.38661i | 0.141520 | − | 0.141520i | ||||
\(97\) | −4.73263 | − | 9.28831i | −0.480526 | − | 0.943085i | −0.996266 | − | 0.0863398i | \(-0.972483\pi\) |
0.515740 | − | 0.856745i | \(-0.327517\pi\) | |||||||
\(98\) | 0.809017 | + | 0.587785i | 0.0817231 | + | 0.0593753i | ||||
\(99\) | −2.11673 | − | 1.07853i | −0.212739 | − | 0.108396i | ||||
\(100\) | 1.98790 | − | 1.44430i | 0.198790 | − | 0.144430i | ||||
\(101\) | −13.4030 | + | 2.12282i | −1.33365 | + | 0.211229i | −0.782224 | − | 0.622998i | \(-0.785915\pi\) |
−0.551422 | + | 0.834226i | \(0.685915\pi\) | |||||||
\(102\) | 6.61762 | − | 9.10838i | 0.655242 | − | 0.901864i | ||||
\(103\) | 5.94159 | − | 8.17789i | 0.585442 | − | 0.805792i | −0.408837 | − | 0.912608i | \(-0.634065\pi\) |
0.994279 | + | 0.106816i | \(0.0340655\pi\) | |||||||
\(104\) | −5.14839 | + | 0.815424i | −0.504841 | + | 0.0799589i | ||||
\(105\) | 2.52979 | − | 1.83800i | 0.246882 | − | 0.179370i | ||||
\(106\) | −0.828181 | − | 0.421979i | −0.0804401 | − | 0.0409863i | ||||
\(107\) | −0.231562 | − | 0.168240i | −0.0223859 | − | 0.0162643i | 0.576536 | − | 0.817072i | \(-0.304404\pi\) |
−0.598922 | + | 0.800807i | \(0.704404\pi\) | |||||||
\(108\) | −1.91818 | − | 3.76465i | −0.184577 | − | 0.362253i | ||||
\(109\) | 1.82502 | − | 1.82502i | 0.174805 | − | 0.174805i | −0.614282 | − | 0.789087i | \(-0.710554\pi\) |
0.789087 | + | 0.614282i | \(0.210554\pi\) | |||||||
\(110\) | 4.42610 | + | 0.701025i | 0.422012 | + | 0.0668401i | ||||
\(111\) | −2.47351 | + | 1.26031i | −0.234775 | + | 0.119624i | ||||
\(112\) | 0.453990 | − | 0.891007i | 0.0428981 | − | 0.0841922i | ||||
\(113\) | −0.353531 | − | 1.08806i | −0.0332574 | − | 0.102356i | 0.933050 | − | 0.359747i | \(-0.117137\pi\) |
−0.966307 | + | 0.257391i | \(0.917137\pi\) | |||||||
\(114\) | − | 3.72232i | − | 0.348628i | ||||||
\(115\) | 1.81796 | − | 0.590691i | 0.169526 | − | 0.0550823i | ||||
\(116\) | −0.342513 | − | 2.16254i | −0.0318015 | − | 0.200787i | ||||
\(117\) | 0.689325 | − | 4.35223i | 0.0637281 | − | 0.402363i | ||||
\(118\) | −7.40070 | − | 2.40463i | −0.681289 | − | 0.221364i | ||||
\(119\) | 1.77418 | − | 5.46036i | 0.162639 | − | 0.500551i | ||||
\(120\) | −2.21111 | − | 2.21111i | −0.201846 | − | 0.201846i | ||||
\(121\) | 1.82363 | + | 2.51002i | 0.165785 | + | 0.228183i | ||||
\(122\) | −6.42962 | −0.582110 | ||||||||
\(123\) | 12.1231 | + | 3.26965i | 1.09310 | + | 0.294814i | ||||
\(124\) | −5.20690 | −0.467593 | ||||||||
\(125\) | −6.98958 | − | 9.62033i | −0.625167 | − | 0.860469i | ||||
\(126\) | 0.597758 | + | 0.597758i | 0.0532525 | + | 0.0532525i | ||||
\(127\) | 4.60589 | − | 14.1755i | 0.408707 | − | 1.25787i | −0.509054 | − | 0.860735i | \(-0.670004\pi\) |
0.917760 | − | 0.397135i | \(-0.129996\pi\) | |||||||
\(128\) | −0.951057 | − | 0.309017i | −0.0840623 | − | 0.0273135i | ||||
\(129\) | −0.549866 | + | 3.47172i | −0.0484130 | + | 0.305668i | ||||
\(130\) | 1.30029 | + | 8.20973i | 0.114043 | + | 0.720041i | ||||
\(131\) | −9.94063 | + | 3.22991i | −0.868517 | + | 0.282198i | −0.709181 | − | 0.705026i | \(-0.750935\pi\) |
−0.159335 | + | 0.987225i | \(0.550935\pi\) | |||||||
\(132\) | 5.51076i | 0.479650i | ||||||||
\(133\) | −0.586581 | − | 1.80531i | −0.0508630 | − | 0.156540i | ||||
\(134\) | −1.15389 | + | 2.26463i | −0.0996805 | + | 0.195634i | ||||
\(135\) | −6.00319 | + | 3.05878i | −0.516672 | + | 0.263258i | ||||
\(136\) | −5.67068 | − | 0.898147i | −0.486257 | − | 0.0770155i | ||||
\(137\) | 3.12810 | − | 3.12810i | 0.267252 | − | 0.267252i | −0.560740 | − | 0.827992i | \(-0.689483\pi\) |
0.827992 | + | 0.560740i | \(0.189483\pi\) | |||||||
\(138\) | 1.06718 | + | 2.09445i | 0.0908440 | + | 0.178291i | ||||
\(139\) | 5.07936 | + | 3.69037i | 0.430825 | + | 0.313013i | 0.781979 | − | 0.623305i | \(-0.214210\pi\) |
−0.351153 | + | 0.936318i | \(0.614210\pi\) | |||||||
\(140\) | −1.42082 | − | 0.723943i | −0.120081 | − | 0.0611844i | ||||
\(141\) | 9.28878 | − | 6.74869i | 0.782257 | − | 0.568343i | ||||
\(142\) | 13.6334 | − | 2.15932i | 1.14409 | − | 0.181206i | ||||
\(143\) | 8.61020 | − | 11.8509i | 0.720021 | − | 0.991024i | ||||
\(144\) | 0.496889 | − | 0.683909i | 0.0414074 | − | 0.0569924i | ||||
\(145\) | −3.44843 | + | 0.546178i | −0.286377 | + | 0.0453576i | ||||
\(146\) | 4.61326 | − | 3.35173i | 0.381796 | − | 0.277391i | ||||
\(147\) | 1.74723 | + | 0.890256i | 0.144109 | + | 0.0734271i | ||||
\(148\) | 1.14531 | + | 0.832113i | 0.0941435 | + | 0.0683993i | ||||
\(149\) | 3.58859 | + | 7.04301i | 0.293989 | + | 0.576986i | 0.990004 | − | 0.141042i | \(-0.0450452\pi\) |
−0.696015 | + | 0.718027i | \(0.745045\pi\) | |||||||
\(150\) | 3.40714 | − | 3.40714i | 0.278192 | − | 0.278192i | ||||
\(151\) | 11.2927 | + | 1.78858i | 0.918983 | + | 0.145553i | 0.597967 | − | 0.801521i | \(-0.295976\pi\) |
0.321016 | + | 0.947074i | \(0.395976\pi\) | |||||||
\(152\) | −1.69132 | + | 0.861772i | −0.137184 | + | 0.0698990i | ||||
\(153\) | 2.20345 | − | 4.32451i | 0.178138 | − | 0.349616i | ||||
\(154\) | 0.868412 | + | 2.67270i | 0.0699786 | + | 0.215372i | ||||
\(155\) | 8.30304i | 0.666916i | ||||||||
\(156\) | −9.72133 | + | 3.15865i | −0.778330 | + | 0.252895i | ||||
\(157\) | 0.105036 | + | 0.663174i | 0.00838282 | + | 0.0529271i | 0.991525 | − | 0.129915i | \(-0.0414704\pi\) |
−0.983142 | + | 0.182842i | \(0.941470\pi\) | |||||||
\(158\) | 1.50456 | − | 9.49945i | 0.119697 | − | 0.755735i | ||||
\(159\) | −1.73348 | − | 0.563242i | −0.137474 | − | 0.0446680i | ||||
\(160\) | −0.492765 | + | 1.51658i | −0.0389565 | + | 0.119896i | ||||
\(161\) | 0.847629 | + | 0.847629i | 0.0668025 | + | 0.0668025i | ||||
\(162\) | −6.36068 | − | 8.75473i | −0.499743 | − | 0.687837i | ||||
\(163\) | −10.5489 | −0.826255 | −0.413127 | − | 0.910673i | \(-0.635564\pi\) | ||||
−0.413127 | + | 0.910673i | \(0.635564\pi\) | |||||||
\(164\) | −1.32103 | − | 6.26537i | −0.103155 | − | 0.489243i | ||||
\(165\) | 8.78758 | 0.684112 | ||||||||
\(166\) | 9.03597 | + | 12.4369i | 0.701327 | + | 0.965294i | ||||
\(167\) | −7.12293 | − | 7.12293i | −0.551189 | − | 0.551189i | 0.375595 | − | 0.926784i | \(-0.377438\pi\) |
−0.926784 | + | 0.375595i | \(0.877438\pi\) | |||||||
\(168\) | 0.605969 | − | 1.86498i | 0.0467516 | − | 0.143887i | ||||
\(169\) | 13.4772 | + | 4.37901i | 1.03671 | + | 0.336847i | ||||
\(170\) | −1.43221 | + | 9.04259i | −0.109845 | + | 0.693535i | ||||
\(171\) | −0.251026 | − | 1.58492i | −0.0191964 | − | 0.121202i | ||||
\(172\) | 1.70476 | − | 0.553909i | 0.129986 | − | 0.0422352i | ||||
\(173\) | 12.0211i | 0.913949i | 0.889480 | + | 0.456975i | \(0.151067\pi\) | ||||
−0.889480 | + | 0.456975i | \(0.848933\pi\) | |||||||
\(174\) | −1.32677 | − | 4.08337i | −0.100582 | − | 0.309560i | ||||
\(175\) | 1.11554 | − | 2.18936i | 0.0843267 | − | 0.165500i | ||||
\(176\) | 2.50394 | − | 1.27582i | 0.188742 | − | 0.0961687i | ||||
\(177\) | −15.0714 | − | 2.38708i | −1.13284 | − | 0.179424i | ||||
\(178\) | −11.9199 | + | 11.9199i | −0.893435 | + | 0.893435i | ||||
\(179\) | −0.124335 | − | 0.244021i | −0.00929324 | − | 0.0182390i | 0.886313 | − | 0.463086i | \(-0.153258\pi\) |
−0.895606 | + | 0.444847i | \(0.853258\pi\) | |||||||
\(180\) | −1.09058 | − | 0.792350i | −0.0812867 | − | 0.0590583i | ||||
\(181\) | 3.41087 | + | 1.73793i | 0.253528 | + | 0.129179i | 0.576137 | − | 0.817353i | \(-0.304560\pi\) |
−0.322608 | + | 0.946533i | \(0.604560\pi\) | |||||||
\(182\) | −4.21705 | + | 3.06387i | −0.312589 | + | 0.227109i | ||||
\(183\) | −12.4530 | + | 1.97236i | −0.920551 | + | 0.145801i | ||||
\(184\) | 0.704595 | − | 0.969791i | 0.0519434 | − | 0.0714940i | ||||
\(185\) | 1.32691 | − | 1.82633i | 0.0975560 | − | 0.134274i | ||||
\(186\) | −10.0848 | + | 1.59728i | −0.739454 | + | 0.117118i | ||||
\(187\) | 13.0532 | − | 9.48369i | 0.954543 | − | 0.693516i | ||||
\(188\) | −5.21691 | − | 2.65815i | −0.380482 | − | 0.193866i | ||||
\(189\) | −3.41823 | − | 2.48349i | −0.248640 | − | 0.180647i | ||||
\(190\) | 1.37420 | + | 2.69702i | 0.0996950 | + | 0.195662i | ||||
\(191\) | 12.5634 | − | 12.5634i | 0.909056 | − | 0.909056i | −0.0871400 | − | 0.996196i | \(-0.527773\pi\) |
0.996196 | + | 0.0871400i | \(0.0277728\pi\) | |||||||
\(192\) | −1.93682 | − | 0.306761i | −0.139778 | − | 0.0221386i | ||||
\(193\) | 21.5759 | − | 10.9935i | 1.55307 | − | 0.791326i | 0.553917 | − | 0.832572i | \(-0.313133\pi\) |
0.999149 | + | 0.0412456i | \(0.0131326\pi\) | |||||||
\(194\) | −4.73263 | + | 9.28831i | −0.339783 | + | 0.666862i | ||||
\(195\) | 5.03686 | + | 15.5018i | 0.360697 | + | 1.11011i | ||||
\(196\) | − | 1.00000i | − | 0.0714286i | ||||||
\(197\) | −20.2846 | + | 6.59087i | −1.44522 | + | 0.469580i | −0.923520 | − | 0.383549i | \(-0.874702\pi\) |
−0.521699 | + | 0.853130i | \(0.674702\pi\) | |||||||
\(198\) | 0.371635 | + | 2.34641i | 0.0264109 | + | 0.166752i | ||||
\(199\) | −3.07463 | + | 19.4125i | −0.217955 | + | 1.37611i | 0.599617 | + | 0.800287i | \(0.295320\pi\) |
−0.817572 | + | 0.575827i | \(0.804680\pi\) | |||||||
\(200\) | −2.33692 | − | 0.759311i | −0.165245 | − | 0.0536914i | ||||
\(201\) | −1.54016 | + | 4.74014i | −0.108635 | + | 0.334343i | ||||
\(202\) | 9.59547 | + | 9.59547i | 0.675135 | + | 0.675135i | ||||
\(203\) | −1.28695 | − | 1.77134i | −0.0903265 | − | 0.124324i | ||||
\(204\) | −11.2586 | −0.788258 | ||||||||
\(205\) | −9.99090 | + | 2.10655i | −0.697795 | + | 0.147128i | ||||
\(206\) | −10.1084 | −0.704288 | ||||||||
\(207\) | 0.595634 | + | 0.819820i | 0.0413995 | + | 0.0569815i | ||||
\(208\) | 3.68584 | + | 3.68584i | 0.255567 | + | 0.255567i | ||||
\(209\) | 1.64843 | − | 5.07336i | 0.114025 | − | 0.350932i | ||||
\(210\) | −2.97394 | − | 0.966292i | −0.205221 | − | 0.0666805i | ||||
\(211\) | −1.70401 | + | 10.7587i | −0.117309 | + | 0.740659i | 0.856979 | + | 0.515352i | \(0.172339\pi\) |
−0.974288 | + | 0.225307i | \(0.927661\pi\) | |||||||
\(212\) | 0.145404 | + | 0.918046i | 0.00998640 | + | 0.0630517i | ||||
\(213\) | 25.7431 | − | 8.36443i | 1.76389 | − | 0.573121i | ||||
\(214\) | 0.286226i | 0.0195660i | ||||||||
\(215\) | −0.883275 | − | 2.71844i | −0.0602389 | − | 0.185396i | ||||
\(216\) | −1.91818 | + | 3.76465i | −0.130516 | + | 0.256152i | ||||
\(217\) | −4.63938 | + | 2.36388i | −0.314942 | + | 0.160471i | ||||
\(218\) | −2.54919 | − | 0.403753i | −0.172653 | − | 0.0273456i | ||||
\(219\) | 7.90685 | − | 7.90685i | 0.534296 | − | 0.534296i | ||||
\(220\) | −2.03445 | − | 3.99284i | −0.137163 | − | 0.269197i | ||||
\(221\) | 24.2116 | + | 17.5908i | 1.62865 | + | 1.18328i | ||||
\(222\) | 2.47351 | + | 1.26031i | 0.166011 | + | 0.0845867i | ||||
\(223\) | 19.6518 | − | 14.2779i | 1.31598 | − | 0.956117i | 0.316009 | − | 0.948756i | \(-0.397657\pi\) |
0.999973 | − | 0.00736017i | \(-0.00234284\pi\) | |||||||
\(224\) | −0.987688 | + | 0.156434i | −0.0659927 | + | 0.0104522i | ||||
\(225\) | 1.22095 | − | 1.68049i | 0.0813964 | − | 0.112033i | ||||
\(226\) | −0.672456 | + | 0.925556i | −0.0447311 | + | 0.0615671i | ||||
\(227\) | −18.9839 | + | 3.00676i | −1.26001 | + | 0.199565i | −0.750482 | − | 0.660891i | \(-0.770179\pi\) |
−0.509524 | + | 0.860456i | \(0.670179\pi\) | |||||||
\(228\) | −3.01142 | + | 2.18793i | −0.199436 | + | 0.144899i | ||||
\(229\) | −7.24080 | − | 3.68937i | −0.478486 | − | 0.243801i | 0.198076 | − | 0.980187i | \(-0.436531\pi\) |
−0.676562 | + | 0.736386i | \(0.736531\pi\) | |||||||
\(230\) | −1.54645 | − | 1.12356i | −0.101970 | − | 0.0740855i | ||||
\(231\) | 2.50183 | + | 4.91013i | 0.164609 | + | 0.323063i | ||||
\(232\) | −1.54821 | + | 1.54821i | −0.101645 | + | 0.101645i | ||||
\(233\) | 17.2148 | + | 2.72655i | 1.12778 | + | 0.178622i | 0.692322 | − | 0.721589i | \(-0.256588\pi\) |
0.435454 | + | 0.900211i | \(0.356588\pi\) | |||||||
\(234\) | −3.92620 | + | 2.00050i | −0.256664 | + | 0.130777i | ||||
\(235\) | −4.23874 | + | 8.31900i | −0.276505 | + | 0.542672i | ||||
\(236\) | 2.40463 | + | 7.40070i | 0.156528 | + | 0.481744i | ||||
\(237\) | − | 18.8602i | − | 1.22510i | ||||||
\(238\) | −5.46036 | + | 1.77418i | −0.353943 | + | 0.115003i | ||||
\(239\) | −1.77418 | − | 11.2018i | −0.114762 | − | 0.724582i | −0.976225 | − | 0.216760i | \(-0.930451\pi\) |
0.861462 | − | 0.507821i | \(-0.169549\pi\) | |||||||
\(240\) | −0.489169 | + | 3.08849i | −0.0315757 | + | 0.199361i | ||||
\(241\) | −16.9873 | − | 5.51949i | −1.09425 | − | 0.355542i | −0.294360 | − | 0.955695i | \(-0.595106\pi\) |
−0.799885 | + | 0.600153i | \(0.795106\pi\) | |||||||
\(242\) | 0.958741 | − | 2.95070i | 0.0616302 | − | 0.189678i | ||||
\(243\) | −6.04216 | − | 6.04216i | −0.387605 | − | 0.387605i | ||||
\(244\) | 3.77924 | + | 5.20167i | 0.241941 | + | 0.333003i | ||||
\(245\) | −1.59462 | −0.101877 | ||||||||
\(246\) | −4.48057 | − | 11.7296i | −0.285671 | − | 0.747854i | ||||
\(247\) | 9.89457 | 0.629576 | ||||||||
\(248\) | 3.06054 | + | 4.21247i | 0.194344 | + | 0.267492i | ||||
\(249\) | 21.3162 | + | 21.3162i | 1.35086 | + | 1.35086i | ||||
\(250\) | −3.67464 | + | 11.3094i | −0.232405 | + | 0.715268i | ||||
\(251\) | −11.7192 | − | 3.80780i | −0.739709 | − | 0.240346i | −0.0851616 | − | 0.996367i | \(-0.527141\pi\) |
−0.654547 | + | 0.756021i | \(0.727141\pi\) | |||||||
\(252\) | 0.132243 | − | 0.834950i | 0.00833053 | − | 0.0525969i | ||||
\(253\) | 0.526983 | + | 3.32724i | 0.0331311 | + | 0.209182i | ||||
\(254\) | −14.1755 | + | 4.60589i | −0.889448 | + | 0.288999i | ||||
\(255\) | 17.9532i | 1.12427i | ||||||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 10.9265 | − | 21.4445i | 0.681577 | − | 1.33767i | −0.247899 | − | 0.968786i | \(-0.579740\pi\) |
0.929476 | − | 0.368884i | \(-0.120260\pi\) | |||||||
\(258\) | 3.13188 | − | 1.59577i | 0.194982 | − | 0.0993485i | ||||
\(259\) | 1.39825 | + | 0.221460i | 0.0868828 | + | 0.0137609i | ||||
\(260\) | 5.87752 | − | 5.87752i | 0.364508 | − | 0.364508i | ||||
\(261\) | −0.840295 | − | 1.64917i | −0.0520129 | − | 0.102081i | ||||
\(262\) | 8.45600 | + | 6.14364i | 0.522414 | + | 0.379556i | ||||
\(263\) | 4.17085 | + | 2.12515i | 0.257185 | + | 0.131043i | 0.577830 | − | 0.816157i | \(-0.303900\pi\) |
−0.320645 | + | 0.947200i | \(0.603900\pi\) | |||||||
\(264\) | 4.45830 | − | 3.23915i | 0.274390 | − | 0.199356i | ||||
\(265\) | 1.46394 | − | 0.231865i | 0.0899289 | − | 0.0142433i | ||||
\(266\) | −1.11574 | + | 1.53569i | −0.0684106 | + | 0.0941592i | ||||
\(267\) | −19.4301 | + | 26.7432i | −1.18910 | + | 1.63666i | ||||
\(268\) | 2.51036 | − | 0.397602i | 0.153345 | − | 0.0242874i | ||||
\(269\) | 1.67881 | − | 1.21972i | 0.102359 | − | 0.0743678i | −0.535429 | − | 0.844580i | \(-0.679850\pi\) |
0.637787 | + | 0.770213i | \(0.279850\pi\) | |||||||
\(270\) | 6.00319 | + | 3.05878i | 0.365343 | + | 0.186151i | ||||
\(271\) | −5.33236 | − | 3.87419i | −0.323918 | − | 0.235340i | 0.413928 | − | 0.910310i | \(-0.364157\pi\) |
−0.737845 | + | 0.674970i | \(0.764157\pi\) | |||||||
\(272\) | 2.60652 | + | 5.11559i | 0.158044 | + | 0.310178i | ||||
\(273\) | −7.22777 | + | 7.22777i | −0.437445 | + | 0.437445i | ||||
\(274\) | −4.36934 | − | 0.692036i | −0.263962 | − | 0.0418074i | ||||
\(275\) | 6.15264 | − | 3.13493i | 0.371018 | − | 0.189043i | ||||
\(276\) | 1.06718 | − | 2.09445i | 0.0642364 | − | 0.126071i | ||||
\(277\) | −4.08875 | − | 12.5839i | −0.245669 | − | 0.756091i | −0.995526 | − | 0.0944911i | \(-0.969878\pi\) |
0.749857 | − | 0.661600i | \(-0.230122\pi\) | |||||||
\(278\) | − | 6.27843i | − | 0.376555i | ||||||
\(279\) | −4.18626 | + | 1.36020i | −0.250625 | + | 0.0814329i | ||||
\(280\) | 0.249454 | + | 1.57499i | 0.0149077 | + | 0.0941236i | ||||
\(281\) | −4.00195 | + | 25.2673i | −0.238736 | + | 1.50732i | 0.519008 | + | 0.854769i | \(0.326301\pi\) |
−0.757744 | + | 0.652552i | \(0.773699\pi\) | |||||||
\(282\) | −10.9196 | − | 3.54800i | −0.650254 | − | 0.211280i | ||||
\(283\) | 4.18696 | − | 12.8861i | 0.248889 | − | 0.766001i | −0.746084 | − | 0.665852i | \(-0.768068\pi\) |
0.994972 | − | 0.100149i | \(-0.0319319\pi\) | |||||||
\(284\) | −9.76046 | − | 9.76046i | −0.579177 | − | 0.579177i | ||||
\(285\) | 3.48892 | + | 4.80208i | 0.206666 | + | 0.284451i | ||||
\(286\) | −14.6485 | −0.866187 | ||||||||
\(287\) | −4.02147 | − | 4.98275i | −0.237380 | − | 0.294122i | ||||
\(288\) | −0.845358 | −0.0498132 | ||||||||
\(289\) | 9.38297 | + | 12.9145i | 0.551939 | + | 0.759679i | ||||
\(290\) | 2.46881 | + | 2.46881i | 0.144973 | + | 0.144973i | ||||
\(291\) | −6.31694 | + | 19.4415i | −0.370305 | + | 1.13968i | ||||
\(292\) | −5.42321 | − | 1.76211i | −0.317369 | − | 0.103120i | ||||
\(293\) | 3.64840 | − | 23.0351i | 0.213142 | − | 1.34573i | −0.616467 | − | 0.787381i | \(-0.711437\pi\) |
0.829609 | − | 0.558345i | \(-0.188563\pi\) | |||||||
\(294\) | −0.306761 | − | 1.93682i | −0.0178907 | − | 0.112957i | ||||
\(295\) | 11.8013 | − | 3.83448i | 0.687099 | − | 0.223252i | ||||
\(296\) | − | 1.41568i | − | 0.0822845i | ||||||
\(297\) | −3.66918 | − | 11.2926i | −0.212908 | − | 0.655262i | ||||
\(298\) | 3.58859 | − | 7.04301i | 0.207881 | − | 0.407990i | ||||
\(299\) | −5.56740 | + | 2.83673i | −0.321971 | + | 0.164053i | ||||
\(300\) | −4.75911 | − | 0.753769i | −0.274767 | − | 0.0435189i | ||||
\(301\) | 1.26748 | − | 1.26748i | 0.0730563 | − | 0.0730563i | ||||
\(302\) | −5.19066 | − | 10.1872i | −0.298689 | − | 0.586210i | ||||
\(303\) | 21.5282 | + | 15.6411i | 1.23676 | + | 0.898560i | ||||
\(304\) | 1.69132 | + | 0.861772i | 0.0970041 | + | 0.0494260i | ||||
\(305\) | 8.29470 | − | 6.02645i | 0.474953 | − | 0.345074i | ||||
\(306\) | −4.79375 | + | 0.759256i | −0.274041 | + | 0.0434038i | ||||
\(307\) | −17.3871 | + | 23.9313i | −0.992337 | + | 1.36583i | −0.0624257 | + | 0.998050i | \(0.519884\pi\) |
−0.929911 | + | 0.367785i | \(0.880116\pi\) | |||||||
\(308\) | 1.65182 | − | 2.27353i | 0.0941211 | − | 0.129547i | ||||
\(309\) | −19.5782 | + | 3.10088i | −1.11376 | + | 0.176403i | ||||
\(310\) | 6.71730 | − | 4.88040i | 0.381517 | − | 0.277188i | ||||
\(311\) | 1.05596 | + | 0.538037i | 0.0598778 | + | 0.0305093i | 0.483673 | − | 0.875249i | \(-0.339302\pi\) |
−0.423795 | + | 0.905758i | \(0.639302\pi\) | |||||||
\(312\) | 8.26946 | + | 6.00811i | 0.468166 | + | 0.340142i | ||||
\(313\) | 9.65018 | + | 18.9395i | 0.545460 | + | 1.07053i | 0.985041 | + | 0.172323i | \(0.0551273\pi\) |
−0.439580 | + | 0.898203i | \(0.644873\pi\) | |||||||
\(314\) | 0.474780 | − | 0.474780i | 0.0267934 | − | 0.0267934i | ||||
\(315\) | −1.33143 | − | 0.210878i | −0.0750175 | − | 0.0118816i | ||||
\(316\) | −8.56957 | + | 4.36642i | −0.482076 | + | 0.245630i | ||||
\(317\) | −8.35680 | + | 16.4011i | −0.469365 | + | 0.921180i | 0.528043 | + | 0.849218i | \(0.322926\pi\) |
−0.997407 | + | 0.0719620i | \(0.977074\pi\) | |||||||
\(318\) | 0.563242 | + | 1.73348i | 0.0315851 | + | 0.0972088i | ||||
\(319\) | − | 6.15301i | − | 0.344503i | ||||||
\(320\) | 1.51658 | − | 0.492765i | 0.0847791 | − | 0.0275464i | ||||
\(321\) | 0.0878032 | + | 0.554368i | 0.00490070 | + | 0.0309418i | ||||
\(322\) | 0.187522 | − | 1.18397i | 0.0104502 | − | 0.0659800i | ||||
\(323\) | 10.3650 | + | 3.36778i | 0.576721 | + | 0.187388i | ||||
\(324\) | −3.34401 | + | 10.2918i | −0.185778 | + | 0.571767i | ||||
\(325\) | 9.05677 | + | 9.05677i | 0.502379 | + | 0.502379i | ||||
\(326\) | 6.20050 | + | 8.53425i | 0.343414 | + | 0.472668i | ||||
\(327\) | −5.06117 | −0.279884 | ||||||||
\(328\) | −4.29231 | + | 4.75143i | −0.237003 | + | 0.262354i | ||||
\(329\) | −5.85508 | −0.322801 | ||||||||
\(330\) | −5.16521 | − | 7.10930i | −0.284336 | − | 0.391354i | ||||
\(331\) | −25.1860 | − | 25.1860i | −1.38435 | − | 1.38435i | −0.836727 | − | 0.547620i | \(-0.815534\pi\) |
−0.547620 | − | 0.836727i | \(-0.684466\pi\) | |||||||
\(332\) | 4.75049 | − | 14.6205i | 0.260717 | − | 0.802404i | ||||
\(333\) | 1.13818 | + | 0.369817i | 0.0623718 | + | 0.0202658i | ||||
\(334\) | −1.57582 | + | 9.94933i | −0.0862250 | + | 0.544403i | ||||
\(335\) | −0.634025 | − | 4.00307i | −0.0346405 | − | 0.218711i | ||||
\(336\) | −1.86498 | + | 0.605969i | −0.101743 | + | 0.0330583i | ||||
\(337\) | 28.4126i | 1.54773i | 0.633350 | + | 0.773866i | \(0.281679\pi\) | ||||
−0.633350 | + | 0.773866i | \(0.718321\pi\) | |||||||
\(338\) | −4.37901 | − | 13.4772i | −0.238187 | − | 0.733064i | ||||
\(339\) | −1.01850 | + | 1.99892i | −0.0553172 | + | 0.108566i | ||||
\(340\) | 8.15744 | − | 4.15642i | 0.442399 | − | 0.225414i | ||||
\(341\) | −14.4525 | − | 2.28905i | −0.782646 | − | 0.123959i | ||||
\(342\) | −1.13467 | + | 1.13467i | −0.0613562 | + | 0.0613562i | ||||
\(343\) | −0.453990 | − | 0.891007i | −0.0245132 | − | 0.0481098i | ||||
\(344\) | −1.45015 | − | 1.05360i | −0.0781870 | − | 0.0568062i | ||||
\(345\) | −3.33985 | − | 1.70174i | −0.179812 | − | 0.0916186i | ||||
\(346\) | 9.72530 | − | 7.06584i | 0.522835 | − | 0.379862i | ||||
\(347\) | −23.2936 | + | 3.68934i | −1.25047 | + | 0.198054i | −0.746333 | − | 0.665572i | \(-0.768187\pi\) |
−0.504132 | + | 0.863627i | \(0.668187\pi\) | |||||||
\(348\) | −2.52366 | + | 3.47353i | −0.135283 | + | 0.186200i | ||||
\(349\) | 11.3078 | − | 15.5639i | 0.605293 | − | 0.833114i | −0.390887 | − | 0.920439i | \(-0.627832\pi\) |
0.996180 | + | 0.0873244i | \(0.0278317\pi\) | |||||||
\(350\) | −2.42693 | + | 0.384388i | −0.129725 | + | 0.0205464i | ||||
\(351\) | 17.8177 | − | 12.9453i | 0.951040 | − | 0.690971i | ||||
\(352\) | −2.50394 | − | 1.27582i | −0.133461 | − | 0.0680016i | ||||
\(353\) | −12.7991 | − | 9.29906i | −0.681225 | − | 0.494939i | 0.192539 | − | 0.981289i | \(-0.438328\pi\) |
−0.873764 | + | 0.486350i | \(0.838328\pi\) | |||||||
\(354\) | 6.92758 | + | 13.5961i | 0.368197 | + | 0.722626i | ||||
\(355\) | −15.5642 | + | 15.5642i | −0.826064 | + | 0.826064i | ||||
\(356\) | 16.6498 | + | 2.63706i | 0.882435 | + | 0.139764i | ||||
\(357\) | −10.0315 | + | 5.11129i | −0.530921 | + | 0.270518i | ||||
\(358\) | −0.124335 | + | 0.244021i | −0.00657131 | + | 0.0128969i | ||||
\(359\) | −1.03993 | − | 3.20058i | −0.0548855 | − | 0.168920i | 0.919856 | − | 0.392256i | \(-0.128305\pi\) |
−0.974742 | + | 0.223336i | \(0.928305\pi\) | |||||||
\(360\) | 1.34803i | 0.0710472i | ||||||||
\(361\) | −14.6432 | + | 4.75786i | −0.770695 | + | 0.250414i | ||||
\(362\) | −0.598849 | − | 3.78098i | −0.0314748 | − | 0.198724i | ||||
\(363\) | 0.951743 | − | 6.00907i | 0.0499535 | − | 0.315394i | ||||
\(364\) | 4.95744 | + | 1.61077i | 0.259840 | + | 0.0844273i | ||||
\(365\) | −2.80990 | + | 8.64797i | −0.147077 | + | 0.452656i | ||||
\(366\) | 8.91535 | + | 8.91535i | 0.466013 | + | 0.466013i | ||||
\(367\) | 7.66467 | + | 10.5495i | 0.400092 | + | 0.550680i | 0.960767 | − | 0.277356i | \(-0.0894582\pi\) |
−0.560675 | + | 0.828036i | \(0.689458\pi\) | |||||||
\(368\) | −1.19873 | −0.0624880 | ||||||||
\(369\) | −2.69879 | − | 4.69216i | −0.140493 | − | 0.244264i | ||||
\(370\) | −2.25747 | −0.117360 | ||||||||
\(371\) | 0.546340 | + | 0.751973i | 0.0283646 | + | 0.0390405i | ||||
\(372\) | 7.21992 | + | 7.21992i | 0.374336 | + | 0.374336i | ||||
\(373\) | 6.50860 | − | 20.0314i | 0.337002 | − | 1.03719i | −0.628725 | − | 0.777628i | \(-0.716423\pi\) |
0.965727 | − | 0.259559i | \(-0.0835771\pi\) | |||||||
\(374\) | −15.3449 | − | 4.98587i | −0.793467 | − | 0.257813i | ||||
\(375\) | −3.64782 | + | 23.0314i | −0.188373 | + | 1.18934i | ||||
\(376\) | 0.915936 | + | 5.78299i | 0.0472358 | + | 0.298235i | ||||
\(377\) | 10.8543 | − | 3.52678i | 0.559025 | − | 0.181638i | ||||
\(378\) | 4.22516i | 0.217319i | ||||||||
\(379\) | 5.37379 | + | 16.5388i | 0.276033 | + | 0.849543i | 0.988944 | + | 0.148288i | \(0.0473764\pi\) |
−0.712911 | + | 0.701255i | \(0.752624\pi\) | |||||||
\(380\) | 1.37420 | − | 2.69702i | 0.0704950 | − | 0.138354i | ||||
\(381\) | −26.0424 | + | 13.2692i | −1.33419 | + | 0.679804i | ||||
\(382\) | −17.5486 | − | 2.77942i | −0.897864 | − | 0.142208i | ||||
\(383\) | −4.79766 | + | 4.79766i | −0.245149 | + | 0.245149i | −0.818976 | − | 0.573827i | \(-0.805458\pi\) |
0.573827 | + | 0.818976i | \(0.305458\pi\) | |||||||
\(384\) | 0.890256 | + | 1.74723i | 0.0454307 | + | 0.0891628i | ||||
\(385\) | −3.62542 | − | 2.63402i | −0.184769 | − | 0.134242i | ||||
\(386\) | −21.5759 | − | 10.9935i | −1.09818 | − | 0.559552i | ||||
\(387\) | 1.22590 | − | 0.890667i | 0.0623159 | − | 0.0452751i | ||||
\(388\) | 10.2962 | − | 1.63075i | 0.522709 | − | 0.0827890i | ||||
\(389\) | −8.60303 | + | 11.8411i | −0.436191 | + | 0.600365i | −0.969360 | − | 0.245643i | \(-0.921001\pi\) |
0.533169 | + | 0.846009i | \(0.321001\pi\) | |||||||
\(390\) | 9.58067 | − | 13.1867i | 0.485136 | − | 0.667732i | ||||
\(391\) | −6.79760 | + | 1.07663i | −0.343769 | + | 0.0544477i | ||||
\(392\) | −0.809017 | + | 0.587785i | −0.0408615 | + | 0.0296876i | ||||
\(393\) | 18.2623 | + | 9.30513i | 0.921214 | + | 0.469382i | ||||
\(394\) | 17.2551 | + | 12.5366i | 0.869301 | + | 0.631584i | ||||
\(395\) | 6.96278 | + | 13.6652i | 0.350336 | + | 0.687572i | ||||
\(396\) | 1.67984 | − | 1.67984i | 0.0844153 | − | 0.0844153i | ||||
\(397\) | 35.4027 | + | 5.60723i | 1.77681 | + | 0.281419i | 0.956761 | − | 0.290877i | \(-0.0939469\pi\) |
0.820048 | + | 0.572295i | \(0.193947\pi\) | |||||||
\(398\) | 17.5123 | − | 8.92294i | 0.877810 | − | 0.447266i | ||||
\(399\) | −1.68990 | + | 3.31662i | −0.0846008 | + | 0.166038i | ||||
\(400\) | 0.759311 | + | 2.33692i | 0.0379655 | + | 0.116846i | ||||
\(401\) | − | 8.50575i | − | 0.424757i | −0.977188 | − | 0.212378i | \(-0.931879\pi\) | ||
0.977188 | − | 0.212378i | \(-0.0681209\pi\) | |||||||
\(402\) | 4.74014 | − | 1.54016i | 0.236416 | − | 0.0768164i | ||||
\(403\) | −4.24583 | − | 26.8071i | −0.211500 | − | 1.33536i | ||||
\(404\) | 2.12282 | − | 13.4030i | 0.105614 | − | 0.666823i | ||||
\(405\) | 16.4115 | + | 5.33243i | 0.815496 | + | 0.264971i | ||||
\(406\) | −0.676592 | + | 2.08234i | −0.0335787 | + | 0.103345i | ||||
\(407\) | 2.81314 | + | 2.81314i | 0.139442 | + | 0.139442i | ||||
\(408\) | 6.61762 | + | 9.10838i | 0.327621 | + | 0.450932i | ||||
\(409\) | −12.5365 | −0.619890 | −0.309945 | − | 0.950755i | \(-0.600311\pi\) | ||||
−0.309945 | + | 0.950755i | \(0.600311\pi\) | |||||||
\(410\) | 7.57673 | + | 6.84461i | 0.374188 | + | 0.338031i | ||||
\(411\) | −8.67490 | −0.427901 | ||||||||
\(412\) | 5.94159 | + | 8.17789i | 0.292721 | + | 0.402896i | ||||
\(413\) | 5.50239 | + | 5.50239i | 0.270755 | + | 0.270755i | ||||
\(414\) | 0.313144 | − | 0.963757i | 0.0153902 | − | 0.0473661i | ||||
\(415\) | −23.3142 | − | 7.57523i | −1.14445 | − | 0.371854i | ||||
\(416\) | 0.815424 | − | 5.14839i | 0.0399795 | − | 0.252420i | ||||
\(417\) | −1.92598 | − | 12.1602i | −0.0943157 | − | 0.595486i | ||||
\(418\) | −5.07336 | + | 1.64843i | −0.248146 | + | 0.0806276i | ||||
\(419\) | − | 9.40573i | − | 0.459500i | −0.973250 | − | 0.229750i | \(-0.926209\pi\) | ||
0.973250 | − | 0.229750i | \(-0.0737908\pi\) | |||||||
\(420\) | 0.966292 | + | 2.97394i | 0.0471502 | + | 0.145113i | ||||
\(421\) | 5.63664 | − | 11.0625i | 0.274713 | − | 0.539154i | −0.711891 | − | 0.702290i | \(-0.752161\pi\) |
0.986604 | + | 0.163136i | \(0.0521609\pi\) | |||||||
\(422\) | 9.70556 | − | 4.94523i | 0.472459 | − | 0.240730i | ||||
\(423\) | −4.88870 | − | 0.774294i | −0.237697 | − | 0.0376474i | ||||
\(424\) | 0.657248 | − | 0.657248i | 0.0319188 | − | 0.0319188i | ||||
\(425\) | 6.40470 | + | 12.5699i | 0.310674 | + | 0.609732i | ||||
\(426\) | −21.8984 | − | 15.9101i | −1.06098 | − | 0.770846i | ||||
\(427\) | 5.72883 | + | 2.91899i | 0.277238 | + | 0.141260i | ||||
\(428\) | 0.231562 | − | 0.168240i | 0.0111930 | − | 0.00813217i | ||||
\(429\) | −28.3715 | + | 4.49361i | −1.36979 | + | 0.216954i | ||||
\(430\) | −1.68009 | + | 2.31244i | −0.0810211 | + | 0.111516i | ||||
\(431\) | −12.7126 | + | 17.4975i | −0.612346 | + | 0.842823i | −0.996768 | − | 0.0803351i | \(-0.974401\pi\) |
0.384421 | + | 0.923158i | \(0.374401\pi\) | |||||||
\(432\) | 4.17315 | − | 0.660961i | 0.200781 | − | 0.0318005i | ||||
\(433\) | 24.3330 | − | 17.6790i | 1.16937 | − | 0.849596i | 0.178436 | − | 0.983952i | \(-0.442896\pi\) |
0.990933 | + | 0.134355i | \(0.0428963\pi\) | |||||||
\(434\) | 4.63938 | + | 2.36388i | 0.222697 | + | 0.113470i | ||||
\(435\) | 5.53896 | + | 4.02429i | 0.265573 | + | 0.192950i | ||||
\(436\) | 1.17174 | + | 2.29966i | 0.0561160 | + | 0.110134i | ||||
\(437\) | −1.60898 | + | 1.60898i | −0.0769681 | + | 0.0769681i | ||||
\(438\) | −11.0443 | − | 1.74925i | −0.527717 | − | 0.0835822i | ||||
\(439\) | 29.1685 | − | 14.8621i | 1.39214 | − | 0.709329i | 0.412660 | − | 0.910885i | \(-0.364600\pi\) |
0.979477 | + | 0.201556i | \(0.0645997\pi\) | |||||||
\(440\) | −2.03445 | + | 3.99284i | −0.0969888 | + | 0.190351i | ||||
\(441\) | −0.261230 | − | 0.803983i | −0.0124395 | − | 0.0382849i | ||||
\(442\) | − | 29.9272i | − | 1.42349i | ||||||
\(443\) | 5.93584 | − | 1.92867i | 0.282020 | − | 0.0916339i | −0.164592 | − | 0.986362i | \(-0.552631\pi\) |
0.446612 | + | 0.894728i | \(0.352631\pi\) | |||||||
\(444\) | −0.434275 | − | 2.74190i | −0.0206098 | − | 0.130125i | ||||
\(445\) | 4.20512 | − | 26.5501i | 0.199342 | − | 1.25859i | ||||
\(446\) | −23.1021 | − | 7.50632i | −1.09391 | − | 0.355434i | ||||
\(447\) | 4.78992 | − | 14.7418i | 0.226555 | − | 0.697265i | ||||
\(448\) | 0.707107 | + | 0.707107i | 0.0334077 | + | 0.0334077i | ||||
\(449\) | −2.42187 | − | 3.33342i | −0.114295 | − | 0.157314i | 0.748037 | − | 0.663657i | \(-0.230997\pi\) |
−0.862332 | + | 0.506344i | \(0.830997\pi\) | |||||||
\(450\) | −2.07720 | −0.0979200 | ||||||||
\(451\) | −0.912338 | − | 17.9712i | −0.0429603 | − | 0.846230i | ||||
\(452\) | 1.14405 | 0.0538116 | ||||||||
\(453\) | −13.1784 | − | 18.1385i | −0.619176 | − | 0.852222i | ||||
\(454\) | 13.5910 | + | 13.5910i | 0.637856 | + | 0.637856i | ||||
\(455\) | 2.56857 | − | 7.90524i | 0.120416 | − | 0.370603i | ||||
\(456\) | 3.54014 | + | 1.15026i | 0.165782 | + | 0.0538659i | ||||
\(457\) | −0.154455 | + | 0.975188i | −0.00722508 | + | 0.0456174i | −0.991037 | − | 0.133584i | \(-0.957351\pi\) |
0.983812 | + | 0.179201i | \(0.0573514\pi\) | |||||||
\(458\) | 1.27127 | + | 8.02649i | 0.0594026 | + | 0.375053i | ||||
\(459\) | 23.0709 | − | 7.49620i | 1.07686 | − | 0.349893i | ||||
\(460\) | 1.91152i | 0.0891250i | ||||||||
\(461\) | 3.93457 | + | 12.1094i | 0.183251 | + | 0.563990i | 0.999914 | − | 0.0131259i | \(-0.00417823\pi\) |
−0.816663 | + | 0.577116i | \(0.804178\pi\) | |||||||
\(462\) | 2.50183 | − | 4.91013i | 0.116396 | − | 0.228440i | ||||
\(463\) | 10.9463 | − | 5.57744i | 0.508719 | − | 0.259205i | −0.180739 | − | 0.983531i | \(-0.557849\pi\) |
0.689458 | + | 0.724326i | \(0.257849\pi\) | |||||||
\(464\) | 2.16254 | + | 0.342513i | 0.100393 | + | 0.0159008i | ||||
\(465\) | 11.5130 | − | 11.5130i | 0.533905 | − | 0.533905i | ||||
\(466\) | −7.91275 | − | 15.5297i | −0.366551 | − | 0.719397i | ||||
\(467\) | 23.9441 | + | 17.3964i | 1.10800 | + | 0.805011i | 0.982348 | − | 0.187063i | \(-0.0598969\pi\) |
0.125654 | + | 0.992074i | \(0.459897\pi\) | |||||||
\(468\) | 3.92620 | + | 2.00050i | 0.181489 | + | 0.0924731i | ||||
\(469\) | 2.05624 | − | 1.49395i | 0.0949483 | − | 0.0689840i | ||||
\(470\) | 9.22169 | − | 1.46057i | 0.425365 | − | 0.0673711i | ||||
\(471\) | 0.773918 | − | 1.06521i | 0.0356602 | − | 0.0490821i | ||||
\(472\) | 4.57388 | − | 6.29541i | 0.210530 | − | 0.289770i | ||||
\(473\) | 4.97530 | − | 0.788010i | 0.228765 | − | 0.0362328i | ||||
\(474\) | −15.2582 | + | 11.0858i | −0.700834 | + | 0.509186i | ||||
\(475\) | 4.15589 | + | 2.11753i | 0.190685 | + | 0.0971590i | ||||
\(476\) | 4.64486 | + | 3.37469i | 0.212897 | + | 0.154679i | ||||
\(477\) | 0.356724 | + | 0.700109i | 0.0163332 | + | 0.0320558i | ||||
\(478\) | −8.01958 | + | 8.01958i | −0.366807 | + | 0.366807i | ||||
\(479\) | −41.0388 | − | 6.49991i | −1.87511 | − | 0.296988i | −0.888349 | − | 0.459168i | \(-0.848147\pi\) |
−0.986761 | + | 0.162180i | \(0.948147\pi\) | |||||||
\(480\) | 2.78617 | − | 1.41962i | 0.127170 | − | 0.0647966i | ||||
\(481\) | −3.35013 | + | 6.57500i | −0.152753 | + | 0.299794i | ||||
\(482\) | 5.51949 | + | 16.9873i | 0.251406 | + | 0.773748i | ||||
\(483\) | − | 2.35066i | − | 0.106959i | ||||||
\(484\) | −2.95070 | + | 0.958741i | −0.134123 | + | 0.0435791i | ||||
\(485\) | −2.60043 | − | 16.4185i | −0.118080 | − | 0.745526i | ||||
\(486\) | −1.33672 | + | 8.43971i | −0.0606348 | + | 0.382833i | ||||
\(487\) | −24.2038 | − | 7.86428i | −1.09678 | − | 0.356365i | −0.295916 | − | 0.955214i | \(-0.595625\pi\) |
−0.800862 | + | 0.598849i | \(0.795625\pi\) | |||||||
\(488\) | 1.98686 | − | 6.11493i | 0.0899410 | − | 0.276810i | ||||
\(489\) | 14.6272 | + | 14.6272i | 0.661465 | + | 0.661465i | ||||
\(490\) | 0.937295 | + | 1.29008i | 0.0423427 | + | 0.0582797i | ||||
\(491\) | 29.0134 | 1.30936 | 0.654679 | − | 0.755907i | \(-0.272804\pi\) | ||||
0.654679 | + | 0.755907i | \(0.272804\pi\) | |||||||
\(492\) | −6.85586 | + | 10.5194i | −0.309086 | + | 0.474249i | ||||
\(493\) | 12.5707 | 0.566156 | ||||||||
\(494\) | −5.81588 | − | 8.00488i | −0.261669 | − | 0.360156i | ||||
\(495\) | −2.67872 | − | 2.67872i | −0.120399 | − | 0.120399i | ||||
\(496\) | 1.60902 | − | 4.95206i | 0.0722472 | − | 0.222354i | ||||
\(497\) | −13.1278 | − | 4.26548i | −0.588862 | − | 0.191333i | ||||
\(498\) | 4.71581 | − | 29.7745i | 0.211321 | − | 1.33423i | ||||
\(499\) | −0.0732329 | − | 0.462374i | −0.00327835 | − | 0.0206987i | 0.985995 | − | 0.166775i | \(-0.0533354\pi\) |
−0.989273 | + | 0.146077i | \(0.953335\pi\) | |||||||
\(500\) | 11.3094 | − | 3.67464i | 0.505771 | − | 0.164335i | ||||
\(501\) | 19.7534i | 0.882518i | ||||||||
\(502\) | 3.80780 | + | 11.7192i | 0.169950 | + | 0.523053i | ||||
\(503\) | −13.8531 | + | 27.1882i | −0.617678 | + | 1.21226i | 0.344229 | + | 0.938886i | \(0.388140\pi\) |
−0.961907 | + | 0.273376i | \(0.911860\pi\) | |||||||
\(504\) | −0.753219 | + | 0.383784i | −0.0335510 | + | 0.0170951i | ||||
\(505\) | −21.3727 | − | 3.38510i | −0.951071 | − | 0.150635i | ||||
\(506\) | 2.38204 | − | 2.38204i | 0.105895 | − | 0.105895i | ||||
\(507\) | −12.6156 | − | 24.7596i | −0.560280 | − | 1.09961i | ||||
\(508\) | 12.0584 | + | 8.76092i | 0.535004 | + | 0.388703i | ||||
\(509\) | −2.27859 | − | 1.16100i | −0.100997 | − | 0.0514603i | 0.402762 | − | 0.915305i | \(-0.368050\pi\) |
−0.503759 | + | 0.863844i | \(0.668050\pi\) | |||||||
\(510\) | 14.5244 | − | 10.5526i | 0.643152 | − | 0.467277i | ||||
\(511\) | −5.63210 | + | 0.892037i | −0.249149 | + | 0.0394614i | ||||
\(512\) | 0.587785 | − | 0.809017i | 0.0259767 | − | 0.0357538i | ||||
\(513\) | 4.71420 | − | 6.48854i | 0.208137 | − | 0.286476i | ||||
\(514\) | −23.7714 | + | 3.76502i | −1.04851 | + | 0.166068i | ||||
\(515\) | 13.0406 | − | 9.47459i | 0.574640 | − | 0.417500i | ||||
\(516\) | −3.13188 | − | 1.59577i | −0.137873 | − | 0.0702500i | ||||
\(517\) | −13.3117 | − | 9.67152i | −0.585448 | − | 0.425353i | ||||
\(518\) | −0.642703 | − | 1.26138i | −0.0282388 | − | 0.0554217i | ||||
\(519\) | 16.6686 | − | 16.6686i | 0.731669 | − | 0.731669i | ||||
\(520\) | −8.20973 | − | 1.30029i | −0.360020 | − | 0.0570216i | ||||
\(521\) | 5.26153 | − | 2.68088i | 0.230512 | − | 0.117452i | −0.334920 | − | 0.942246i | \(-0.608709\pi\) |
0.565432 | + | 0.824795i | \(0.308709\pi\) | |||||||
\(522\) | −0.840295 | + | 1.64917i | −0.0367787 | + | 0.0721823i | ||||
\(523\) | −0.0152453 | − | 0.0469204i | −0.000666632 | − | 0.00205168i | 0.950723 | − | 0.310043i | \(-0.100343\pi\) |
−0.951389 | + | 0.307991i | \(0.900343\pi\) | |||||||
\(524\) | − | 10.4522i | − | 0.456606i | ||||||
\(525\) | −4.58260 | + | 1.48898i | −0.200001 | + | 0.0649843i | ||||
\(526\) | −0.732278 | − | 4.62342i | −0.0319288 | − | 0.201591i | ||||
\(527\) | 4.67656 | − | 29.5267i | 0.203714 | − | 1.28620i | ||||
\(528\) | −5.24105 | − | 1.70292i | −0.228087 | − | 0.0741101i | ||||
\(529\) | −6.66335 | + | 20.5077i | −0.289711 | + | 0.891638i | ||||
\(530\) | −1.04806 | − | 1.04806i | −0.0455249 | − | 0.0455249i | ||||
\(531\) | 3.86657 | + | 5.32187i | 0.167795 | + | 0.230950i | ||||
\(532\) | 1.89822 | 0.0822981 | ||||||||
\(533\) | 31.1793 | − | 11.9101i | 1.35053 | − | 0.515884i | ||||
\(534\) | 33.0565 | 1.43049 | ||||||||
\(535\) | −0.268279 | − | 0.369254i | −0.0115987 | − | 0.0159642i | ||||
\(536\) | −1.79722 | − | 1.79722i | −0.0776280 | − | 0.0776280i | ||||
\(537\) | −0.165958 | + | 0.510766i | −0.00716161 | + | 0.0220412i | ||||
\(538\) | −1.97355 | − | 0.641247i | −0.0850859 | − | 0.0276461i | ||||
\(539\) | 0.439618 | − | 2.77564i | 0.0189357 | − | 0.119555i | ||||
\(540\) | −1.05398 | − | 6.65459i | −0.0453562 | − | 0.286368i | ||||
\(541\) | −24.2987 | + | 7.89512i | −1.04468 | + | 0.339438i | −0.780579 | − | 0.625057i | \(-0.785076\pi\) |
−0.264103 | + | 0.964495i | \(0.585076\pi\) | |||||||
\(542\) | 6.59116i | 0.283115i | ||||||||
\(543\) | −2.31972 | − | 7.13936i | −0.0995487 | − | 0.306379i | ||||
\(544\) | 2.60652 | − | 5.11559i | 0.111754 | − | 0.219329i | ||||
\(545\) | 3.66709 | − | 1.86848i | 0.157081 | − | 0.0800367i | ||||
\(546\) | 10.0958 | + | 1.59901i | 0.432059 | + | 0.0684314i | ||||
\(547\) | 14.1269 | − | 14.1269i | 0.604022 | − | 0.604022i | −0.337355 | − | 0.941377i | \(-0.609532\pi\) |
0.941377 | + | 0.337355i | \(0.109532\pi\) | |||||||
\(548\) | 2.00837 | + | 3.94164i | 0.0857932 | + | 0.168379i | ||||
\(549\) | 4.39727 | + | 3.19481i | 0.187671 | + | 0.136351i | ||||
\(550\) | −6.15264 | − | 3.13493i | −0.262349 | − | 0.133674i | ||||
\(551\) | 3.36239 | − | 2.44292i | 0.143243 | − | 0.104072i | ||||
\(552\) | −2.32171 | + | 0.367724i | −0.0988187 | + | 0.0156514i | ||||
\(553\) | −5.65324 | + | 7.78101i | −0.240400 | + | 0.330882i | ||||
\(554\) | −7.77726 | + | 10.7045i | −0.330424 | + | 0.454790i | ||||
\(555\) | −4.37230 | + | 0.692504i | −0.185594 | + | 0.0293951i | ||||
\(556\) | −5.07936 | + | 3.69037i | −0.215413 | + | 0.156507i | ||||
\(557\) | −23.7847 | − | 12.1189i | −1.00779 | − | 0.513495i | −0.129478 | − | 0.991582i | \(-0.541330\pi\) |
−0.878312 | + | 0.478087i | \(0.841330\pi\) | |||||||
\(558\) | 3.56104 | + | 2.58725i | 0.150751 | + | 0.109527i | ||||
\(559\) | 4.24184 | + | 8.32507i | 0.179411 | + | 0.352113i | ||||
\(560\) | 1.12757 | − | 1.12757i | 0.0476484 | − | 0.0476484i | ||||
\(561\) | −31.2498 | − | 4.94948i | −1.31937 | − | 0.208967i | ||||
\(562\) | 22.7940 | − | 11.6141i | 0.961505 | − | 0.489911i | ||||
\(563\) | −11.1975 | + | 21.9763i | −0.471918 | + | 0.926192i | 0.525247 | + | 0.850950i | \(0.323973\pi\) |
−0.997165 | + | 0.0752419i | \(0.976027\pi\) | |||||||
\(564\) | 3.54800 | + | 10.9196i | 0.149398 | + | 0.459799i | ||||
\(565\) | − | 1.82433i | − | 0.0767500i | ||||||
\(566\) | −12.8861 | + | 4.18696i | −0.541644 | + | 0.175991i | ||||
\(567\) | 1.69285 | + | 10.6882i | 0.0710929 | + | 0.448863i | ||||
\(568\) | −2.15932 | + | 13.6334i | −0.0906032 | + | 0.572046i | ||||
\(569\) | 25.9885 | + | 8.44416i | 1.08949 | + | 0.353998i | 0.798050 | − | 0.602591i | \(-0.205865\pi\) |
0.291443 | + | 0.956588i | \(0.405865\pi\) | |||||||
\(570\) | 1.83423 | − | 5.64519i | 0.0768275 | − | 0.236451i | ||||
\(571\) | −29.1124 | − | 29.1124i | −1.21832 | − | 1.21832i | −0.968221 | − | 0.250096i | \(-0.919538\pi\) |
−0.250096 | − | 0.968221i | \(-0.580462\pi\) | |||||||
\(572\) | 8.61020 | + | 11.8509i | 0.360011 | + | 0.495512i | ||||
\(573\) | −34.8410 | −1.45550 | ||||||||
\(574\) | −1.66737 | + | 6.18222i | −0.0695947 | + | 0.258041i | ||||
\(575\) | −2.94549 | −0.122836 | ||||||||
\(576\) | 0.496889 | + | 0.683909i | 0.0207037 | + | 0.0284962i | ||||
\(577\) | −7.66363 | − | 7.66363i | −0.319041 | − | 0.319041i | 0.529358 | − | 0.848399i | \(-0.322433\pi\) |
−0.848399 | + | 0.529358i | \(0.822433\pi\) | |||||||
\(578\) | 4.93292 | − | 15.1820i | 0.205182 | − | 0.631486i | ||||
\(579\) | −45.1609 | − | 14.6737i | −1.87682 | − | 0.609816i | ||||
\(580\) | 0.546178 | − | 3.44843i | 0.0226788 | − | 0.143188i | ||||
\(581\) | −2.40485 | − | 15.1836i | −0.0997701 | − | 0.629923i | ||||
\(582\) | 19.4415 | − | 6.31694i | 0.805877 | − | 0.261845i | ||||
\(583\) | 2.61209i | 0.108182i | ||||||||
\(584\) | 1.76211 | + | 5.42321i | 0.0729166 | + | 0.224414i | ||||
\(585\) | 3.19004 | − | 6.26080i | 0.131892 | − | 0.258852i | ||||
\(586\) | −20.7803 | + | 10.5881i | −0.858425 | + | 0.437389i | ||||
\(587\) | 24.1330 | + | 3.82230i | 0.996077 | + | 0.157763i | 0.633129 | − | 0.774046i | \(-0.281770\pi\) |
0.362948 | + | 0.931809i | \(0.381770\pi\) | |||||||
\(588\) | −1.38661 | + | 1.38661i | −0.0571827 | + | 0.0571827i | ||||
\(589\) | −4.48716 | − | 8.80655i | −0.184890 | − | 0.362868i | ||||
\(590\) | −10.0388 | − | 7.29361i | −0.413291 | − | 0.300273i | ||||
\(591\) | 37.2657 | + | 18.9878i | 1.53291 | + | 0.781056i | ||||
\(592\) | −1.14531 | + | 0.832113i | −0.0470718 | + | 0.0341996i | ||||
\(593\) | 22.0817 | − | 3.49739i | 0.906786 | − | 0.143621i | 0.314414 | − | 0.949286i | \(-0.398192\pi\) |
0.592371 | + | 0.805665i | \(0.298192\pi\) | |||||||
\(594\) | −6.97920 | + | 9.60605i | −0.286360 | + | 0.394141i | ||||
\(595\) | 5.38135 | − | 7.40680i | 0.220614 | − | 0.303649i | ||||
\(596\) | −7.80723 | + | 1.23654i | −0.319797 | + | 0.0506508i | ||||
\(597\) | 31.1808 | − | 22.6542i | 1.27614 | − | 0.927173i | ||||
\(598\) | 5.56740 | + | 2.83673i | 0.227668 | + | 0.116003i | ||||
\(599\) | 2.57877 | + | 1.87359i | 0.105366 | + | 0.0765527i | 0.639221 | − | 0.769024i | \(-0.279257\pi\) |
−0.533855 | + | 0.845576i | \(0.679257\pi\) | |||||||
\(600\) | 2.18752 | + | 4.29325i | 0.0893052 | + | 0.175271i | ||||
\(601\) | −5.48424 | + | 5.48424i | −0.223707 | + | 0.223707i | −0.810057 | − | 0.586351i | \(-0.800564\pi\) |
0.586351 | + | 0.810057i | \(0.300564\pi\) | |||||||
\(602\) | −1.77042 | − | 0.280407i | −0.0721569 | − | 0.0114285i | ||||
\(603\) | 1.91442 | − | 0.975446i | 0.0779612 | − | 0.0397232i | ||||
\(604\) | −5.19066 | + | 10.1872i | −0.211205 | + | 0.414513i | ||||
\(605\) | 1.52883 | + | 4.70525i | 0.0621557 | + | 0.191296i | ||||
\(606\) | − | 26.6103i | − | 1.08097i | ||||||
\(607\) | −20.6722 | + | 6.71682i | −0.839061 | + | 0.272627i | −0.696857 | − | 0.717210i | \(-0.745419\pi\) |
−0.142204 | + | 0.989837i | \(0.545419\pi\) | |||||||
\(608\) | −0.296947 | − | 1.87485i | −0.0120428 | − | 0.0760351i | ||||
\(609\) | −0.671653 | + | 4.24065i | −0.0272168 | + | 0.171840i | ||||
\(610\) | −9.75100 | − | 3.16829i | −0.394807 | − | 0.128280i | ||||
\(611\) | 9.43118 | − | 29.0262i | 0.381545 | − | 1.17427i | ||||
\(612\) | 3.43195 | + | 3.43195i | 0.138728 | + | 0.138728i | ||||
\(613\) | −17.1427 | − | 23.5949i | −0.692386 | − | 0.952988i | −0.999999 | − | 0.00147605i | \(-0.999530\pi\) |
0.307613 | − | 0.951512i | \(-0.400470\pi\) | |||||||
\(614\) | 29.5808 | 1.19378 | ||||||||
\(615\) | 16.7744 | + | 10.9325i | 0.676409 | + | 0.440841i | ||||
\(616\) | −2.81024 | −0.113228 | ||||||||
\(617\) | −19.2010 | − | 26.4280i | −0.773005 | − | 1.06395i | −0.996020 | − | 0.0891351i | \(-0.971590\pi\) |
0.223014 | − | 0.974815i | \(-0.428410\pi\) | |||||||
\(618\) | 14.0164 | + | 14.0164i | 0.563823 | + | 0.563823i | ||||
\(619\) | −2.60664 | + | 8.02243i | −0.104770 | + | 0.322449i | −0.989676 | − | 0.143320i | \(-0.954222\pi\) |
0.884906 | + | 0.465769i | \(0.154222\pi\) | |||||||
\(620\) | −7.89666 | − | 2.56578i | −0.317137 | − | 0.103044i | ||||
\(621\) | −0.792313 | + | 5.00247i | −0.0317944 | + | 0.200742i | ||||
\(622\) | −0.185395 | − | 1.17054i | −0.00743366 | − | 0.0469343i | ||||
\(623\) | 16.0322 | − | 5.20919i | 0.642318 | − | 0.208702i | ||||
\(624\) | − | 10.2216i | − | 0.409192i | ||||||
\(625\) | −2.06311 | − | 6.34959i | −0.0825242 | − | 0.253983i | ||||
\(626\) | 9.65018 | − | 18.9395i | 0.385699 | − | 0.756976i | ||||
\(627\) | −9.32049 | + | 4.74902i | −0.372224 | + | 0.189658i | ||||
\(628\) | −0.663174 | − | 0.105036i | −0.0264635 | − | 0.00419141i | ||||
\(629\) | −5.74730 | + | 5.74730i | −0.229160 | + | 0.229160i | ||||
\(630\) | 0.611991 | + | 1.20110i | 0.0243823 | + | 0.0478530i | ||||
\(631\) | −12.3357 | − | 8.96239i | −0.491075 | − | 0.356787i | 0.314522 | − | 0.949250i | \(-0.398156\pi\) |
−0.805598 | + | 0.592463i | \(0.798156\pi\) | |||||||
\(632\) | 8.56957 | + | 4.36642i | 0.340879 | + | 0.173687i | ||||
\(633\) | 17.2809 | − | 12.5553i | 0.686853 | − | 0.499028i | ||||
\(634\) | 18.1808 | − | 2.87956i | 0.722052 | − | 0.114362i | ||||
\(635\) | 13.9704 | − | 19.2286i | 0.554397 | − | 0.763062i | ||||
\(636\) | 1.07135 | − | 1.47459i | 0.0424818 | − | 0.0584712i | ||||
\(637\) | 5.14839 | − | 0.815424i | 0.203986 | − | 0.0323083i | ||||
\(638\) | −4.97789 | + | 3.61665i | −0.197077 | + | 0.143185i | ||||
\(639\) | −10.3970 | − | 5.29752i | −0.411298 | − | 0.209567i | ||||
\(640\) | −1.29008 | − | 0.937295i | −0.0509947 | − | 0.0370498i | ||||
\(641\) | 7.63945 | + | 14.9933i | 0.301740 | + | 0.592198i | 0.991238 | − | 0.132090i | \(-0.0421686\pi\) |
−0.689498 | + | 0.724288i | \(0.742169\pi\) | |||||||
\(642\) | 0.396883 | − | 0.396883i | 0.0156637 | − | 0.0156637i | ||||
\(643\) | −38.0159 | − | 6.02113i | −1.49920 | − | 0.237450i | −0.647738 | − | 0.761863i | \(-0.724285\pi\) |
−0.851464 | + | 0.524413i | \(0.824285\pi\) | |||||||
\(644\) | −1.06807 | + | 0.544211i | −0.0420880 | + | 0.0214449i | ||||
\(645\) | −2.54465 | + | 4.99417i | −0.100196 | + | 0.196645i | ||||
\(646\) | −3.36778 | − | 10.3650i | −0.132503 | − | 0.407804i | ||||
\(647\) | 42.2338i | 1.66038i | 0.557479 | + | 0.830191i | \(0.311769\pi\) | ||||
−0.557479 | + | 0.830191i | \(0.688231\pi\) | |||||||
\(648\) | 10.2918 | − | 3.34401i | 0.404300 | − | 0.131365i | ||||
\(649\) | 3.42091 | + | 21.5988i | 0.134283 | + | 0.847827i | ||||
\(650\) | 2.00365 | − | 12.6505i | 0.0785894 | − | 0.496194i | ||||
\(651\) | 9.71078 | + | 3.15522i | 0.380595 | + | 0.123663i | ||||
\(652\) | 3.25979 | − | 10.0326i | 0.127663 | − | 0.392908i | ||||
\(653\) | −2.12400 | − | 2.12400i | −0.0831184 | − | 0.0831184i | 0.664325 | − | 0.747444i | \(-0.268719\pi\) |
−0.747444 | + | 0.664325i | \(0.768719\pi\) | |||||||
\(654\) | 2.97488 | + | 4.09458i | 0.116327 | + | 0.160111i | ||||
\(655\) | −16.6673 | −0.651245 | ||||||||
\(656\) | 6.36694 | + | 0.679730i | 0.248587 | + | 0.0265390i | ||||
\(657\) | −4.82048 | −0.188065 | ||||||||
\(658\) | 3.44153 | + | 4.73686i | 0.134165 | + | 0.184662i | ||||
\(659\) | 30.5077 | + | 30.5077i | 1.18841 | + | 1.18841i | 0.977507 | + | 0.210903i | \(0.0676403\pi\) |
0.210903 | + | 0.977507i | \(0.432360\pi\) | |||||||
\(660\) | −2.71551 | + | 8.35749i | −0.105701 | + | 0.325315i | ||||
\(661\) | 27.7069 | + | 9.00250i | 1.07767 | + | 0.350157i | 0.793471 | − | 0.608608i | \(-0.208272\pi\) |
0.284201 | + | 0.958765i | \(0.408272\pi\) | |||||||
\(662\) | −5.57194 | + | 35.1798i | −0.216560 | + | 1.36730i | ||||
\(663\) | −9.18051 | − | 57.9635i | −0.356542 | − | 2.25112i | ||||
\(664\) | −14.6205 | + | 4.75049i | −0.567386 | + | 0.184355i | ||||
\(665\) | − | 3.02694i | − | 0.117380i | ||||||
\(666\) | −0.369817 | − | 1.13818i | −0.0143301 | − | 0.0441035i | ||||
\(667\) | −1.19155 | + | 2.33855i | −0.0461369 | + | 0.0905489i | ||||
\(668\) | 8.97542 | − | 4.57320i | 0.347269 | − | 0.176943i | ||||
\(669\) | −47.0471 | − | 7.45153i | −1.81895 | − | 0.288093i | ||||
\(670\) | −2.86588 | + | 2.86588i | −0.110719 | + | 0.110719i | ||||
\(671\) | 8.20305 | + | 16.0994i | 0.316675 | + | 0.621510i | ||||
\(672\) | 1.58645 | + | 1.15262i | 0.0611986 | + | 0.0444634i | ||||
\(673\) | 27.6798 | + | 14.1035i | 1.06698 | + | 0.543652i | 0.897106 | − | 0.441815i | \(-0.145665\pi\) |
0.169870 | + | 0.985466i | \(0.445665\pi\) | |||||||
\(674\) | 22.9862 | − | 16.7005i | 0.885397 | − | 0.643279i | ||||
\(675\) | 10.2542 | − | 1.62410i | 0.394683 | − | 0.0625117i | ||||
\(676\) | −8.32938 | + | 11.4644i | −0.320361 | + | 0.440939i | ||||
\(677\) | −11.1030 | + | 15.2820i | −0.426723 | + | 0.587334i | −0.967197 | − | 0.254027i | \(-0.918245\pi\) |
0.540474 | + | 0.841361i | \(0.318245\pi\) | |||||||
\(678\) | 2.21581 | − | 0.350951i | 0.0850979 | − | 0.0134782i | ||||
\(679\) | 8.43361 | − | 6.12738i | 0.323652 | − | 0.235147i | ||||
\(680\) | −8.15744 | − | 4.15642i | −0.312823 | − | 0.159391i | ||||
\(681\) | 30.4924 | + | 22.1540i | 1.16847 | + | 0.848944i | ||||
\(682\) | 6.64308 | + | 13.0378i | 0.254377 | + | 0.499242i | ||||
\(683\) | −19.9186 | + | 19.9186i | −0.762166 | + | 0.762166i | −0.976713 | − | 0.214548i | \(-0.931172\pi\) |
0.214548 | + | 0.976713i | \(0.431172\pi\) | |||||||
\(684\) | 1.58492 | + | 0.251026i | 0.0606008 | + | 0.00959822i | ||||
\(685\) | 6.28543 | − | 3.20258i | 0.240154 | − | 0.122364i | ||||
\(686\) | −0.453990 | + | 0.891007i | −0.0173334 | + | 0.0340188i | ||||
\(687\) | 4.92443 | + | 15.1559i | 0.187879 | + | 0.578232i | ||||
\(688\) | 1.79249i | 0.0683379i | ||||||||
\(689\) | −4.60789 | + | 1.49719i | −0.175547 | + | 0.0570385i | ||||
\(690\) | 0.586380 | + | 3.70226i | 0.0223231 | + | 0.140943i | ||||
\(691\) | −7.35682 | + | 46.4491i | −0.279866 | + | 1.76701i | 0.301597 | + | 0.953435i | \(0.402480\pi\) |
−0.581464 | + | 0.813572i | \(0.697520\pi\) | |||||||
\(692\) | −11.4328 | − | 3.71473i | −0.434609 | − | 0.141213i | ||||
\(693\) | 0.734119 | − | 2.25939i | 0.0278869 | − | 0.0858269i | ||||
\(694\) | 16.6764 | + | 16.6764i | 0.633026 | + | 0.633026i | ||||
\(695\) | 5.88474 | + | 8.09965i | 0.223221 | + | 0.307237i | ||||
\(696\) | 4.29351 | 0.162745 | ||||||||
\(697\) | 36.7154 | − | 1.86392i | 1.39069 | − | 0.0706010i | ||||
\(698\) | −19.2380 | −0.728169 | ||||||||
\(699\) | −20.0894 | − | 27.6507i | −0.759852 | − | 1.04585i | ||||
\(700\) | 1.73749 | + | 1.73749i | 0.0656709 | + | 0.0656709i | ||||
\(701\) | 2.75404 | − | 8.47606i | 0.104019 | − | 0.320136i | −0.885480 | − | 0.464677i | \(-0.846170\pi\) |
0.989499 | + | 0.144541i | \(0.0461705\pi\) | |||||||
\(702\) | −20.9460 | − | 6.80577i | −0.790556 | − | 0.256867i | ||||
\(703\) | −0.420380 | + | 2.65417i | −0.0158549 | + | 0.100104i | ||||
\(704\) | 0.439618 | + | 2.77564i | 0.0165687 | + | 0.104611i | ||||
\(705\) | 17.4127 | − | 5.65772i | 0.655799 | − | 0.213082i | ||||
\(706\) | 15.8205i | 0.595413i | ||||||||
\(707\) | −4.19337 | − | 12.9059i | −0.157708 | − | 0.485376i | ||||
\(708\) | 6.92758 | − | 13.5961i | 0.260354 | − | 0.510974i | ||||
\(709\) | −38.9182 | + | 19.8298i | −1.46160 | + | 0.744725i | −0.990521 | − | 0.137364i | \(-0.956137\pi\) |
−0.471084 | + | 0.882088i | \(0.656137\pi\) | |||||||
\(710\) | 21.7402 | + | 3.44331i | 0.815894 | + | 0.129225i | ||||
\(711\) | −5.74915 | + | 5.74915i | −0.215610 | + | 0.215610i | ||||
\(712\) | −7.65305 | − | 15.0200i | −0.286810 | − | 0.562897i | ||||
\(713\) | 5.04961 | + | 3.66875i | 0.189109 | + | 0.137396i | ||||
\(714\) | 10.0315 | + | 5.11129i | 0.375418 | + | 0.191285i | ||||
\(715\) | 18.8977 | − | 13.7300i | 0.706735 | − | 0.513473i | ||||
\(716\) | 0.270500 | − | 0.0428429i | 0.0101090 | − | 0.00160112i | ||||
\(717\) | −13.0723 | + | 17.9925i | −0.488196 | + | 0.671944i | ||||
\(718\) | −1.97807 | + | 2.72258i | −0.0738208 | + | 0.101606i | ||||
\(719\) | 8.55548 | − | 1.35505i | 0.319065 | − | 0.0505350i | 0.00515237 | − | 0.999987i | \(-0.498360\pi\) |
0.313913 | + | 0.949452i | \(0.398360\pi\) | |||||||
\(720\) | 1.09058 | − | 0.792350i | 0.0406434 | − | 0.0295291i | ||||
\(721\) | 9.00668 | + | 4.58913i | 0.335426 | + | 0.170908i | ||||
\(722\) | 12.4563 | + | 9.05000i | 0.463574 | + | 0.336806i | ||||
\(723\) | 15.9013 | + | 31.2080i | 0.591375 | + | 1.16064i | ||||
\(724\) | −2.70688 | + | 2.70688i | −0.100601 | + | 0.100601i | ||||
\(725\) | 5.31376 | + | 0.841616i | 0.197348 | + | 0.0312568i | ||||
\(726\) | −5.42086 | + | 2.76206i | −0.201187 | + | 0.102510i | ||||
\(727\) | −16.7126 | + | 32.8002i | −0.619834 | + | 1.21649i | 0.341181 | + | 0.939998i | \(0.389173\pi\) |
−0.961015 | + | 0.276496i | \(0.910827\pi\) | |||||||
\(728\) | −1.61077 | − | 4.95744i | −0.0596991 | − | 0.183735i | ||||
\(729\) | − | 15.7081i | − | 0.581782i | ||||||
\(730\) | 8.64797 | − | 2.80990i | 0.320076 | − | 0.103999i | ||||
\(731\) | 1.60992 | + | 10.1646i | 0.0595449 | + | 0.375952i | ||||
\(732\) | 1.97236 | − | 12.4530i | 0.0729005 | − | 0.460276i | ||||
\(733\) | −30.1878 | − | 9.80862i | −1.11501 | − | 0.362290i | −0.307151 | − | 0.951661i | \(-0.599376\pi\) |
−0.807862 | + | 0.589371i | \(0.799376\pi\) | |||||||
\(734\) | 4.02955 | − | 12.4017i | 0.148734 | − | 0.457755i | ||||
\(735\) | 2.21111 | + | 2.21111i | 0.0815582 | + | 0.0815582i | ||||
\(736\) | 0.704595 | + | 0.969791i | 0.0259717 | + | 0.0357470i | ||||
\(737\) | 7.14265 | 0.263103 | ||||||||
\(738\) | −2.20973 | + | 4.94135i | −0.0813412 | + | 0.181894i | ||||
\(739\) | 5.55669 | 0.204406 | 0.102203 | − | 0.994764i | \(-0.467411\pi\) | ||||
0.102203 | + | 0.994764i | \(0.467411\pi\) | |||||||
\(740\) | 1.32691 | + | 1.82633i | 0.0487780 | + | 0.0671372i | ||||
\(741\) | −13.7199 | − | 13.7199i | −0.504012 | − | 0.504012i | ||||
\(742\) | 0.287228 | − | 0.883997i | 0.0105445 | − | 0.0324526i | ||||
\(743\) | 16.9047 | + | 5.49267i | 0.620173 | + | 0.201506i | 0.602217 | − | 0.798332i | \(-0.294284\pi\) |
0.0179559 | + | 0.999839i | \(0.494284\pi\) | |||||||
\(744\) | 1.59728 | − | 10.0848i | 0.0585590 | − | 0.369727i | ||||
\(745\) | 1.97182 | + | 12.4496i | 0.0722419 | + | 0.456117i | ||||
\(746\) | −20.0314 | + | 6.50860i | −0.733402 | + | 0.238297i | ||||
\(747\) | − | 12.9956i | − | 0.475484i | ||||||
\(748\) | 4.98587 | + | 15.3449i | 0.182301 | + | 0.561066i | ||||
\(749\) | 0.129944 | − | 0.255029i | 0.00474805 | − | 0.00931857i | ||||
\(750\) | 20.7769 | − | 10.5864i | 0.758667 | − | 0.386560i | ||||
\(751\) | 5.11600 | + | 0.810295i | 0.186685 | + | 0.0295681i | 0.249077 | − | 0.968484i | \(-0.419873\pi\) |
−0.0623916 | + | 0.998052i | \(0.519873\pi\) | |||||||
\(752\) | 4.14017 | − | 4.14017i | 0.150976 | − | 0.150976i | ||||
\(753\) | 10.9700 | + | 21.5298i | 0.399769 | + | 0.784590i | ||||
\(754\) | −9.23322 | − | 6.70833i | −0.336254 | − | 0.244303i | ||||
\(755\) | 16.2448 | + | 8.27714i | 0.591209 | + | 0.301236i | ||||
\(756\) | 3.41823 | − | 2.48349i | 0.124320 | − | 0.0903236i | ||||
\(757\) | −31.1069 | + | 4.92685i | −1.13060 | + | 0.179069i | −0.693578 | − | 0.720382i | \(-0.743967\pi\) |
−0.437021 | + | 0.899451i | \(0.643967\pi\) | |||||||
\(758\) | 10.2216 | − | 14.0688i | 0.371264 | − | 0.511001i | ||||
\(759\) | 3.88285 | − | 5.34429i | 0.140939 | − | 0.193985i | ||||
\(760\) | −2.98967 | + | 0.473517i | −0.108447 | + | 0.0171763i | ||||
\(761\) | 11.4462 | − | 8.31612i | 0.414923 | − | 0.301459i | −0.360669 | − | 0.932694i | \(-0.617452\pi\) |
0.775592 | + | 0.631235i | \(0.217452\pi\) | |||||||
\(762\) | 26.0424 | + | 13.2692i | 0.943415 | + | 0.480694i | ||||
\(763\) | 2.08805 | + | 1.51706i | 0.0755924 | + | 0.0549211i | ||||
\(764\) | 8.06620 | + | 15.8308i | 0.291825 | + | 0.572739i | ||||
\(765\) | 5.47266 | − | 5.47266i | 0.197864 | − | 0.197864i | ||||
\(766\) | 6.70138 | + | 1.06139i | 0.242131 | + | 0.0383497i | ||||
\(767\) | −36.1408 | + | 18.4147i | −1.30497 | + | 0.664915i | ||||
\(768\) | 0.890256 | − | 1.74723i | 0.0321244 | − | 0.0630476i | ||||
\(769\) | 2.47729 | + | 7.62431i | 0.0893334 | + | 0.274940i | 0.985735 | − | 0.168302i | \(-0.0538283\pi\) |
−0.896402 | + | 0.443242i | \(0.853828\pi\) | |||||||
\(770\) | 4.48127i | 0.161494i | ||||||||
\(771\) | −44.8858 | + | 14.5843i | −1.61652 | + | 0.525240i | ||||
\(772\) | 3.78809 | + | 23.9170i | 0.136336 | + | 0.860793i | ||||
\(773\) | −3.37116 | + | 21.2846i | −0.121252 | + | 0.765555i | 0.849874 | + | 0.526987i | \(0.176678\pi\) |
−0.971126 | + | 0.238569i | \(0.923322\pi\) | |||||||
\(774\) | −1.44113 | − | 0.468251i | −0.0518003 | − | 0.0168309i | ||||
\(775\) | 3.95366 | − | 12.1681i | 0.142020 | − | 0.437091i | ||||
\(776\) | −7.37124 | − | 7.37124i | −0.264612 | − | 0.264612i | ||||
\(777\) | −1.63174 | − | 2.24590i | −0.0585383 | − | 0.0805711i | ||||
\(778\) | 14.6364 | 0.524739 | ||||||||
\(779\) | 9.45834 | − | 7.63362i | 0.338880 | − | 0.273503i | ||||
\(780\) | −16.2996 | −0.583620 | ||||||||
\(781\) | −22.8007 | − | 31.3824i | −0.815872 | − | 1.12295i | ||||
\(782\) | 4.86654 | + | 4.86654i | 0.174027 | + | 0.174027i | ||||
\(783\) | 2.85871 | − | 8.79821i | 0.102162 | − | 0.314422i | ||||
\(784\) | 0.951057 | + | 0.309017i | 0.0339663 | + | 0.0110363i | ||||
\(785\) | −0.167493 | + | 1.05751i | −0.00597810 | + | 0.0377442i | ||||
\(786\) | −3.20633 | − | 20.2440i | −0.114366 | − | 0.722079i | ||||
\(787\) | 23.9237 | − | 7.77327i | 0.852786 | − | 0.277087i | 0.150174 | − | 0.988660i | \(-0.452017\pi\) |
0.702613 | + | 0.711573i | \(0.252017\pi\) | |||||||
\(788\) | − | 21.3285i | − | 0.759797i | ||||||
\(789\) | −2.83657 | − | 8.73008i | −0.100985 | − | 0.310799i | ||||
\(790\) | 6.96278 | − | 13.6652i | 0.247725 | − | 0.486187i | ||||
\(791\) | 1.01936 | − | 0.519388i | 0.0362441 | − | 0.0184673i | ||||
\(792\) | −2.34641 | − | 0.371635i | −0.0833760 | − | 0.0132055i | ||||
\(793\) | −23.6985 | + | 23.6985i | −0.841559 | + | 0.841559i | ||||
\(794\) | −16.2728 | − | 31.9372i | −0.577501 | − | 1.13341i | ||||
\(795\) | −2.35141 | − | 1.70840i | −0.0833959 | − | 0.0605907i | ||||
\(796\) | −17.5123 | − | 8.92294i | −0.620705 | − | 0.316265i | ||||
\(797\) | −42.7358 | + | 31.0494i | −1.51378 | + | 1.09983i | −0.549314 | + | 0.835616i | \(0.685111\pi\) |
−0.964465 | + | 0.264209i | \(0.914889\pi\) | |||||||
\(798\) | 3.67650 | − | 0.582300i | 0.130147 | − | 0.0206132i | ||||
\(799\) | 19.7591 | − | 27.1960i | 0.699026 | − | 0.962126i | ||||
\(800\) | 1.44430 | − | 1.98790i | 0.0510635 | − | 0.0702829i | ||||
\(801\) | 14.0750 | − | 2.22926i | 0.497316 | − | 0.0787670i | ||||
\(802\) | −6.88129 | + | 4.99955i | −0.242987 | + | 0.176540i | ||||
\(803\) | −14.2782 | − | 7.27513i | −0.503868 | − | 0.256734i | ||||
\(804\) | −4.03220 | − | 2.92956i | −0.142205 | − | 0.103318i | ||||
\(805\) | 0.867811 | + | 1.70317i | 0.0305863 | + | 0.0600290i | ||||
\(806\) | −19.1918 | + | 19.1918i | −0.676002 | + | 0.676002i | ||||
\(807\) | −4.01912 | − | 0.636566i | −0.141480 | − | 0.0224082i | ||||
\(808\) | −12.0910 | + | 6.16067i | −0.425360 | + | 0.216732i | ||||
\(809\) | −11.1090 | + | 21.8026i | −0.390571 | + | 0.766539i | −0.999647 | − | 0.0265732i | \(-0.991540\pi\) |
0.609076 | + | 0.793112i | \(0.291540\pi\) | |||||||
\(810\) | −5.33243 | − | 16.4115i | −0.187363 | − | 0.576643i | ||||
\(811\) | 21.3417i | 0.749410i | 0.927144 | + | 0.374705i | \(0.122256\pi\) | ||||
−0.927144 | + | 0.374705i | \(0.877744\pi\) | |||||||
\(812\) | 2.08234 | − | 0.676592i | 0.0730757 | − | 0.0237437i | ||||
\(813\) | 2.02191 | + | 12.7659i | 0.0709116 | + | 0.447718i | ||||
\(814\) | 0.622357 | − | 3.92941i | 0.0218136 | − | 0.137726i | ||||
\(815\) | −15.9982 | − | 5.19814i | −0.560393 | − | 0.182083i | ||||
\(816\) | 3.47909 | − | 10.7075i | 0.121793 | − | 0.374839i | ||||
\(817\) | 2.40595 | + | 2.40595i | 0.0841736 | + | 0.0841736i | ||||
\(818\) | 7.36877 | + | 10.1422i | 0.257643 | + | 0.354615i | ||||
\(819\) | 4.40648 | 0.153975 | ||||||||
\(820\) | 1.08391 | − | 10.1529i | 0.0378519 | − | 0.354553i | ||||
\(821\) | −29.7498 | −1.03827 | −0.519137 | − | 0.854691i | \(-0.673747\pi\) | ||||
−0.519137 | + | 0.854691i | \(0.673747\pi\) | |||||||
\(822\) | 5.09898 | + | 7.01814i | 0.177847 | + | 0.244786i | ||||
\(823\) | −7.95191 | − | 7.95191i | −0.277186 | − | 0.277186i | 0.554799 | − | 0.831985i | \(-0.312795\pi\) |
−0.831985 | + | 0.554799i | \(0.812795\pi\) | |||||||
\(824\) | 3.12368 | − | 9.61369i | 0.108818 | − | 0.334909i | ||||
\(825\) | −12.8782 | − | 4.18438i | −0.448362 | − | 0.145682i | ||||
\(826\) | 1.21730 | − | 7.68575i | 0.0423554 | − | 0.267421i | ||||
\(827\) | 6.91323 | + | 43.6484i | 0.240397 | + | 1.51780i | 0.752334 | + | 0.658782i | \(0.228928\pi\) |
−0.511937 | + | 0.859023i | \(0.671072\pi\) | |||||||
\(828\) | −0.963757 | + | 0.313144i | −0.0334929 | + | 0.0108825i | ||||
\(829\) | 2.66311i | 0.0924935i | 0.998930 | + | 0.0462468i | \(0.0147261\pi\) | ||||
−0.998930 | + | 0.0462468i | \(0.985274\pi\) | |||||||
\(830\) | 7.57523 | + | 23.3142i | 0.262940 | + | 0.809247i | ||||
\(831\) | −11.7794 | + | 23.1184i | −0.408623 | + | 0.801967i | ||||
\(832\) | −4.64443 | + | 2.36645i | −0.161016 | + | 0.0820420i | ||||
\(833\) | 5.67068 | + | 0.898147i | 0.196477 | + | 0.0311190i | ||||
\(834\) | −8.70572 | + | 8.70572i | −0.301454 | + | 0.301454i | ||||
\(835\) | −7.29253 | − | 14.3124i | −0.252368 | − | 0.495301i | ||||
\(836\) | 4.31566 | + | 3.13551i | 0.149260 | + | 0.108444i | ||||
\(837\) | −19.6021 | − | 9.98779i | −0.677549 | − | 0.345229i | ||||
\(838\) | −7.60939 | + | 5.52855i | −0.262862 | + | 0.190981i | ||||
\(839\) | 34.2982 | − | 5.43230i | 1.18410 | − | 0.187544i | 0.466838 | − | 0.884343i | \(-0.345393\pi\) |
0.717266 | + | 0.696799i | \(0.245393\pi\) | |||||||
\(840\) | 1.83800 | − | 2.52979i | 0.0634169 | − | 0.0872859i | ||||
\(841\) | −14.2280 | + | 19.5831i | −0.490620 | + | 0.675281i | ||||
\(842\) | −12.2629 | + | 1.94225i | −0.422607 | + | 0.0669344i | ||||
\(843\) | 40.5849 | − | 29.4867i | 1.39782 | − | 1.01558i | ||||
\(844\) | −9.70556 | − | 4.94523i | −0.334079 | − | 0.170222i | ||||
\(845\) | 18.2814 | + | 13.2822i | 0.628899 | + | 0.456922i | ||||
\(846\) | 2.24709 | + | 4.41016i | 0.0772565 | + | 0.151624i | ||||
\(847\) | −2.19383 | + | 2.19383i | −0.0753810 | + | 0.0753810i | ||||
\(848\) | −0.918046 | − | 0.145404i | −0.0315258 | − | 0.00499320i | ||||
\(849\) | −23.6737 | + | 12.0623i | −0.812478 | + | 0.413978i | ||||
\(850\) | 6.40470 | − | 12.5699i | 0.219680 | − | 0.431145i | ||||
\(851\) | −0.524405 | − | 1.61395i | −0.0179764 | − | 0.0553256i | ||||
\(852\) | 27.0679i | 0.927329i | ||||||||
\(853\) | −28.1564 | + | 9.14857i | −0.964057 | + | 0.313241i | −0.748414 | − | 0.663231i | \(-0.769185\pi\) |
−0.215642 | + | 0.976472i | \(0.569185\pi\) | |||||||
\(854\) | −1.00581 | − | 6.35046i | −0.0344182 | − | 0.217308i | ||||
\(855\) | 0.400292 | − | 2.52734i | 0.0136897 | − | 0.0864332i | ||||
\(856\) | −0.272217 | − | 0.0884488i | −0.00930420 | − | 0.00302312i | ||||
\(857\) | −15.7564 | + | 48.4933i | −0.538229 | + | 1.65650i | 0.198337 | + | 0.980134i | \(0.436446\pi\) |
−0.736566 | + | 0.676366i | \(0.763554\pi\) | |||||||
\(858\) | 20.3118 | + | 20.3118i | 0.693433 | + | 0.693433i | ||||
\(859\) | 0.621635 | + | 0.855607i | 0.0212099 | + | 0.0291929i | 0.819490 | − | 0.573093i | \(-0.194257\pi\) |
−0.798280 | + | 0.602286i | \(0.794257\pi\) | |||||||
\(860\) | 2.85834 | 0.0974686 | ||||||||
\(861\) | −1.33292 | + | 12.4853i | −0.0454259 | + | 0.425498i | ||||
\(862\) | 21.6280 | 0.736654 | ||||||||
\(863\) | −21.9103 | − | 30.1569i | −0.745834 | − | 1.02655i | −0.998262 | − | 0.0589364i | \(-0.981229\pi\) |
0.252428 | − | 0.967616i | \(-0.418771\pi\) | |||||||
\(864\) | −2.98764 | − | 2.98764i | −0.101642 | − | 0.101642i | ||||
\(865\) | −5.92359 | + | 18.2309i | −0.201408 | + | 0.619871i | ||||
\(866\) | −28.6051 | − | 9.29438i | −0.972043 | − | 0.315836i | ||||
\(867\) | 4.89691 | − | 30.9179i | 0.166308 | − | 1.05003i | ||||
\(868\) | −0.814539 | − | 5.14279i | −0.0276472 | − | 0.174558i | ||||
\(869\) | −25.7056 | + | 8.35226i | −0.872004 | + | 0.283331i | ||||
\(870\) | − | 6.84653i | − | 0.232119i | ||||||
\(871\) | 4.09402 | + | 12.6001i | 0.138720 | + | 0.426938i | ||||
\(872\) | 1.17174 | − | 2.29966i | 0.0396800 | − | 0.0778764i | ||||
\(873\) | 7.85194 | − | 4.00077i | 0.265748 | − | 0.135405i | ||||
\(874\) | 2.24743 | + | 0.355958i | 0.0760205 | + | 0.0120405i | ||||
\(875\) | 8.40848 | − | 8.40848i | 0.284258 | − | 0.284258i | ||||
\(876\) | 5.07651 | + | 9.96321i | 0.171519 | + | 0.336626i | ||||
\(877\) | 41.7537 | + | 30.3359i | 1.40992 | + | 1.02437i | 0.993334 | + | 0.115275i | \(0.0367750\pi\) |
0.416590 | + | 0.909094i | \(0.363225\pi\) | |||||||
\(878\) | −29.1685 | − | 14.8621i | −0.984390 | − | 0.501572i | ||||
\(879\) | −36.9995 | + | 26.8817i | −1.24796 | + | 0.906699i | ||||
\(880\) | 4.42610 | − | 0.701025i | 0.149204 | − | 0.0236316i | ||||
\(881\) | 10.1794 | − | 14.0108i | 0.342954 | − | 0.472035i | −0.602347 | − | 0.798234i | \(-0.705768\pi\) |
0.945301 | + | 0.326199i | \(0.105768\pi\) | |||||||
\(882\) | −0.496889 | + | 0.683909i | −0.0167311 | + | 0.0230284i | ||||
\(883\) | 22.8221 | − | 3.61466i | 0.768024 | − | 0.121643i | 0.239885 | − | 0.970801i | \(-0.422890\pi\) |
0.528138 | + | 0.849158i | \(0.322890\pi\) | |||||||
\(884\) | −24.2116 | + | 17.5908i | −0.814325 | + | 0.591642i | ||||
\(885\) | −21.6807 | − | 11.0469i | −0.728788 | − | 0.371336i | ||||
\(886\) | −5.04932 | − | 3.66855i | −0.169635 | − | 0.123247i | ||||
\(887\) | −1.59912 | − | 3.13844i | −0.0536930 | − | 0.105379i | 0.862601 | − | 0.505885i | \(-0.168834\pi\) |
−0.916294 | + | 0.400507i | \(0.868834\pi\) | |||||||
\(888\) | −1.96299 | + | 1.96299i | −0.0658735 | + | 0.0658735i | ||||
\(889\) | 14.7215 | + | 2.33165i | 0.493742 | + | 0.0782011i | ||||
\(890\) | −23.9512 | + | 12.2037i | −0.802845 | + | 0.409070i | ||||
\(891\) | −13.8062 | + | 27.0963i | −0.462526 | + | 0.907759i | ||||
\(892\) | 7.50632 | + | 23.1021i | 0.251330 | + | 0.773515i | ||||
\(893\) | − | 11.1142i | − | 0.371923i | ||||||
\(894\) | −14.7418 | + | 4.78992i | −0.493041 | + | 0.160199i | ||||
\(895\) | −0.0683183 | − | 0.431345i | −0.00228363 | − | 0.0144183i | ||||
\(896\) | 0.156434 | − | 0.987688i | 0.00522611 | − | 0.0329964i | ||||
\(897\) | 11.6532 | + | 3.78636i | 0.389090 | + | 0.126423i | ||||
\(898\) | −1.27325 | + | 3.91867i | −0.0424890 | + | 0.130768i | ||||
\(899\) | −8.06137 | − | 8.06137i | −0.268862 | − | 0.268862i | ||||
\(900\) | 1.22095 | + | 1.68049i | 0.0406982 | + | 0.0560163i | ||||
\(901\) | −5.33654 | −0.177786 | ||||||||
\(902\) | −14.0027 | + | 11.3013i | −0.466240 | + | 0.376292i | ||||
\(903\) | −3.51499 | −0.116972 | ||||||||
\(904\) | −0.672456 | − | 0.925556i | −0.0223656 | − | 0.0307835i | ||||
\(905\) | 4.31646 | + | 4.31646i | 0.143484 | + | 0.143484i | ||||
\(906\) | −6.92830 | + | 21.3231i | −0.230177 | + | 0.708413i | ||||
\(907\) | −46.0328 | − | 14.9570i | −1.52850 | − | 0.496638i | −0.580321 | − | 0.814388i | \(-0.697073\pi\) |
−0.948175 | + | 0.317750i | \(0.897073\pi\) | |||||||
\(908\) | 3.00676 | − | 18.9839i | 0.0997827 | − | 0.630003i | ||||
\(909\) | −1.79454 | − | 11.3303i | −0.0595213 | − | 0.375803i | ||||
\(910\) | −7.90524 | + | 2.56857i | −0.262056 | + | 0.0851472i | ||||
\(911\) | 24.7234i | 0.819123i | 0.912283 | + | 0.409561i | \(0.134318\pi\) | ||||
−0.912283 | + | 0.409561i | \(0.865682\pi\) | |||||||
\(912\) | −1.15026 | − | 3.54014i | −0.0380890 | − | 0.117226i | ||||
\(913\) | 19.6131 | − | 38.4929i | 0.649099 | − | 1.27393i | ||||
\(914\) | 0.879730 | − | 0.448245i | 0.0290989 | − | 0.0148266i | ||||
\(915\) | −19.8578 | − | 3.14517i | −0.656479 | − | 0.103976i | ||||
\(916\) | 5.74633 | − | 5.74633i | 0.189864 | − | 0.189864i | ||||
\(917\) | −4.74520 | − | 9.31297i | −0.156700 | − | 0.307541i | ||||
\(918\) | −19.6253 | − | 14.2586i | −0.647731 | − | 0.470604i | ||||
\(919\) | −24.8092 | − | 12.6409i | −0.818380 | − | 0.416986i | −0.00590607 | − | 0.999983i | \(-0.501880\pi\) |
−0.812474 | + | 0.582997i | \(0.801880\pi\) | |||||||
\(920\) | 1.54645 | − | 1.12356i | 0.0509850 | − | 0.0370427i | ||||
\(921\) | 57.2925 | − | 9.07424i | 1.88785 | − | 0.299006i | ||||
\(922\) | 7.48400 | − | 10.3008i | 0.246472 | − | 0.339240i | ||||
\(923\) | 42.2917 | − | 58.2095i | 1.39205 | − | 1.91599i | ||||
\(924\) | −5.44292 | + | 0.862073i | −0.179059 | + | 0.0283601i | ||||
\(925\) | −2.81422 | + | 2.04465i | −0.0925311 | + | 0.0672278i | ||||
\(926\) | −10.9463 | − | 5.57744i | −0.359719 | − | 0.183286i | ||||
\(927\) | 6.91325 | + | 5.02277i | 0.227061 | + | 0.164969i | ||||
\(928\) | −0.994011 | − | 1.95086i | −0.0326300 | − | 0.0640400i | ||||
\(929\) | 5.31690 | − | 5.31690i | 0.174442 | − | 0.174442i | −0.614486 | − | 0.788928i | \(-0.710637\pi\) |
0.788928 | + | 0.614486i | \(0.210637\pi\) | |||||||
\(930\) | −16.0815 | − | 2.54705i | −0.527332 | − | 0.0835211i | ||||
\(931\) | 1.69132 | − | 0.861772i | 0.0554309 | − | 0.0282435i | ||||
\(932\) | −7.91275 | + | 15.5297i | −0.259191 | + | 0.508691i | ||||
\(933\) | −0.718151 | − | 2.21024i | −0.0235112 | − | 0.0723601i | ||||
\(934\) | − | 29.5966i | − | 0.968430i | ||||||
\(935\) | 24.4694 | − | 7.95058i | 0.800233 | − | 0.260012i | ||||
\(936\) | −0.689325 | − | 4.35223i | −0.0225313 | − | 0.142257i | ||||
\(937\) | −4.62956 | + | 29.2299i | −0.151241 | + | 0.954899i | 0.789001 | + | 0.614392i | \(0.210599\pi\) |
−0.940242 | + | 0.340507i | \(0.889401\pi\) | |||||||
\(938\) | −2.41725 | − | 0.785414i | −0.0789262 | − | 0.0256447i | ||||
\(939\) | 12.8807 | − | 39.6427i | 0.420346 | − | 1.29369i | ||||
\(940\) | −6.60200 | − | 6.60200i | −0.215333 | − | 0.215333i | ||||
\(941\) | −14.1980 | − | 19.5419i | −0.462841 | − | 0.637046i | 0.512254 | − | 0.858834i | \(-0.328811\pi\) |
−0.975095 | + | 0.221788i | \(0.928811\pi\) | |||||||
\(942\) | −1.31667 | −0.0428993 | ||||||||
\(943\) | −3.13342 | + | 7.00689i | −0.102038 | + | 0.228176i | ||||
\(944\) | −7.78155 | −0.253268 | ||||||||
\(945\) | −3.96023 | − | 5.45078i | −0.128826 | − | 0.177314i | ||||
\(946\) | −3.56192 | − | 3.56192i | −0.115808 | − | 0.115808i | ||||
\(947\) | −10.9041 | + | 33.5594i | −0.354336 | + | 1.09053i | 0.602058 | + | 0.798453i | \(0.294348\pi\) |
−0.956394 | + | 0.292081i | \(0.905652\pi\) | |||||||
\(948\) | 17.9371 | + | 5.82813i | 0.582571 | + | 0.189289i | ||||
\(949\) | 4.64979 | − | 29.3576i | 0.150939 | − | 0.952990i | ||||
\(950\) | −0.729652 | − | 4.60684i | −0.0236730 | − | 0.149466i | ||||
\(951\) | 34.3295 | − | 11.1543i | 1.11321 | − | 0.361704i | ||||
\(952\) | − | 5.74136i | − | 0.186079i | ||||||
\(953\) | 14.2246 | + | 43.7787i | 0.460779 | + | 1.41813i | 0.864215 | + | 0.503123i | \(0.167816\pi\) |
−0.403436 | + | 0.915008i | \(0.632184\pi\) | |||||||
\(954\) | 0.356724 | − | 0.700109i | 0.0115494 | − | 0.0226669i | ||||
\(955\) | 25.2442 | − | 12.8625i | 0.816882 | − | 0.416222i | ||||
\(956\) | 11.2018 | + | 1.77418i | 0.362291 | + | 0.0573812i | ||||
\(957\) | −8.53181 | + | 8.53181i | −0.275794 | + | 0.275794i | ||||
\(958\) | 18.8635 | + | 37.0216i | 0.609451 | + | 1.19611i | ||||
\(959\) | 3.57893 | + | 2.60025i | 0.115570 | + | 0.0839664i | ||||
\(960\) | −2.78617 | − | 1.41962i | −0.0899231 | − | 0.0458181i | ||||
\(961\) | 3.14561 | − | 2.28542i | 0.101471 | − | 0.0737233i | ||||
\(962\) | 7.28844 | − | 1.15438i | 0.234989 | − | 0.0372186i | ||||
\(963\) | 0.142223 | − | 0.195753i | 0.00458306 | − | 0.00630804i | ||||
\(964\) | 10.4987 | − | 14.4502i | 0.338140 | − | 0.465410i | ||||
\(965\) | 38.1386 | − | 6.04057i | 1.22773 | − | 0.194453i | ||||
\(966\) | −1.90172 | + | 1.38168i | −0.0611868 | + | 0.0444548i | ||||
\(967\) | −46.1849 | − | 23.5324i | −1.48521 | − | 0.756750i | −0.491726 | − | 0.870750i | \(-0.663634\pi\) |
−0.993481 | + | 0.114000i | \(0.963634\pi\) | |||||||
\(968\) | 2.51002 | + | 1.82363i | 0.0806749 | + | 0.0586138i | ||||
\(969\) | −9.70233 | − | 19.0419i | −0.311684 | − | 0.611714i | ||||
\(970\) | −11.7543 | + | 11.7543i | −0.377409 | + | 0.377409i | ||||
\(971\) | 44.2535 | + | 7.00907i | 1.42016 | + | 0.224932i | 0.818816 | − | 0.574056i | \(-0.194631\pi\) |
0.601347 | + | 0.798988i | \(0.294631\pi\) | |||||||
\(972\) | 7.61357 | − | 3.87931i | 0.244205 | − | 0.124429i | ||||
\(973\) | −2.85035 | + | 5.59412i | −0.0913780 | + | 0.179339i | ||||
\(974\) | 7.86428 | + | 24.2038i | 0.251988 | + | 0.775539i | ||||
\(975\) | − | 25.1164i | − | 0.804367i | ||||||
\(976\) | −6.11493 | + | 1.98686i | −0.195734 | + | 0.0635979i | ||||
\(977\) | −5.83301 | − | 36.8282i | −0.186615 | − | 1.17824i | −0.886067 | − | 0.463558i | \(-0.846573\pi\) |
0.699452 | − | 0.714680i | \(-0.253427\pi\) | |||||||
\(978\) | 3.23600 | − | 20.4313i | 0.103476 | − | 0.653321i | ||||
\(979\) | 45.0545 | + | 14.6391i | 1.43995 | + | 0.467867i | ||||
\(980\) | 0.492765 | − | 1.51658i | 0.0157408 | − | 0.0484452i | ||||
\(981\) | 1.54280 | + | 1.54280i | 0.0492577 | + | 0.0492577i | ||||
\(982\) | −17.0537 | − | 23.4724i | −0.544205 | − | 0.749033i | ||||
\(983\) | 7.32017 | 0.233477 | 0.116739 | − | 0.993163i | \(-0.462756\pi\) | ||||
0.116739 | + | 0.993163i | \(0.462756\pi\) | |||||||
\(984\) | 12.5401 | − | 0.636621i | 0.399764 | − | 0.0202947i | ||||
\(985\) | −34.0109 | −1.08368 | ||||||||
\(986\) | −7.38887 | − | 10.1699i | −0.235310 | − | 0.323876i | ||||
\(987\) | 8.11869 | + | 8.11869i | 0.258421 | + | 0.258421i | ||||
\(988\) | −3.05759 | + | 9.41030i | −0.0972749 | + | 0.299381i | ||||
\(989\) | −2.04354 | − | 0.663986i | −0.0649808 | − | 0.0211135i | ||||
\(990\) | −0.592617 | + | 3.74164i | −0.0188346 | + | 0.118917i | ||||
\(991\) | −3.55909 | − | 22.4712i | −0.113058 | − | 0.713822i | −0.977476 | − | 0.211047i | \(-0.932313\pi\) |
0.864418 | − | 0.502775i | \(-0.167687\pi\) | |||||||
\(992\) | −4.95206 | + | 1.60902i | −0.157228 | + | 0.0510865i | ||||
\(993\) | 69.8461i | 2.21650i | ||||||||
\(994\) | 4.26548 | + | 13.1278i | 0.135293 | + | 0.416388i | ||||
\(995\) | −14.2287 | + | 27.9254i | −0.451080 | + | 0.885295i | ||||
\(996\) | −26.8599 | + | 13.6858i | −0.851090 | + | 0.433652i | ||||
\(997\) | 2.25040 | + | 0.356428i | 0.0712708 | + | 0.0112882i | 0.191968 | − | 0.981401i | \(-0.438513\pi\) |
−0.120697 | + | 0.992689i | \(0.538513\pi\) | |||||||
\(998\) | −0.331023 | + | 0.331023i | −0.0104784 | + | 0.0104784i | ||||
\(999\) | 2.71553 | + | 5.32952i | 0.0859154 | + | 0.168619i |
(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 | 574.2.u.a.169.2 | ✓ | 80 | |
41.33 | even | 20 | inner | 574.2.u.a.197.2 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
574.2.u.a.169.2 | ✓ | 80 | 1.1 | even | 1 | trivial | |
574.2.u.a.197.2 | yes | 80 | 41.33 | even | 20 | inner |