Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 155.15 | ||
Character | \(\chi\) | \(=\) | 648.155 |
Dual form | 648.2.bb.b.347.15 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{43}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30287 | + | 0.550037i | −0.921265 | + | 0.388935i | ||||
\(3\) | −1.22792 | − | 1.22156i | −0.708938 | − | 0.705271i | ||||
\(4\) | 1.39492 | − | 1.43325i | 0.697459 | − | 0.716624i | ||||
\(5\) | −2.79167 | + | 1.83611i | −1.24847 | + | 0.821134i | −0.989469 | − | 0.144742i | \(-0.953765\pi\) |
−0.259004 | + | 0.965876i | \(0.583394\pi\) | |||||||
\(6\) | 2.27172 | + | 0.916136i | 0.927424 | + | 0.374011i | ||||
\(7\) | −1.37351 | − | 1.29584i | −0.519137 | − | 0.489780i | 0.381491 | − | 0.924373i | \(-0.375411\pi\) |
−0.900627 | + | 0.434593i | \(0.856892\pi\) | |||||||
\(8\) | −1.02905 | + | 2.63459i | −0.363825 | + | 0.931467i | ||||
\(9\) | 0.0155586 | + | 2.99996i | 0.00518620 | + | 0.999987i | ||||
\(10\) | 2.62724 | − | 3.92773i | 0.830808 | − | 1.24206i | ||||
\(11\) | 1.73366 | + | 3.45199i | 0.522717 | + | 1.04082i | 0.987826 | + | 0.155562i | \(0.0497189\pi\) |
−0.465109 | + | 0.885253i | \(0.653985\pi\) | |||||||
\(12\) | −3.46365 | + | 0.0559256i | −0.999870 | + | 0.0161443i | ||||
\(13\) | −0.329892 | + | 0.142302i | −0.0914957 | + | 0.0394674i | −0.441336 | − | 0.897342i | \(-0.645495\pi\) |
0.349840 | + | 0.936809i | \(0.386236\pi\) | |||||||
\(14\) | 2.50225 | + | 0.932822i | 0.668755 | + | 0.249307i | ||||
\(15\) | 5.67087 | + | 1.15562i | 1.46421 | + | 0.298379i | ||||
\(16\) | −0.108402 | − | 3.99853i | −0.0271005 | − | 0.999633i | ||||
\(17\) | −2.24947 | − | 2.68082i | −0.545578 | − | 0.650194i | 0.420851 | − | 0.907130i | \(-0.361732\pi\) |
−0.966428 | + | 0.256936i | \(0.917287\pi\) | |||||||
\(18\) | −1.67036 | − | 3.89999i | −0.393707 | − | 0.919236i | ||||
\(19\) | 4.69816 | + | 3.94222i | 1.07783 | + | 0.904408i | 0.995739 | − | 0.0922169i | \(-0.0293953\pi\) |
0.0820924 | + | 0.996625i | \(0.473840\pi\) | |||||||
\(20\) | −1.26255 | + | 6.56238i | −0.282315 | + | 1.46739i | ||||
\(21\) | 0.103603 | + | 3.26901i | 0.0226080 | + | 0.713356i | ||||
\(22\) | −4.15745 | − | 3.54391i | −0.886371 | − | 0.755564i | ||||
\(23\) | −2.70963 | − | 2.87204i | −0.564998 | − | 0.598863i | 0.380384 | − | 0.924829i | \(-0.375792\pi\) |
−0.945381 | + | 0.325966i | \(0.894310\pi\) | |||||||
\(24\) | 4.48191 | − | 1.97800i | 0.914866 | − | 0.403757i | ||||
\(25\) | 2.44173 | − | 5.66056i | 0.488345 | − | 1.13211i | ||||
\(26\) | 0.351534 | − | 0.366853i | 0.0689416 | − | 0.0719458i | ||||
\(27\) | 3.64554 | − | 3.70271i | 0.701585 | − | 0.712586i | ||||
\(28\) | −3.77318 | + | 0.160989i | −0.713065 | + | 0.0304240i | ||||
\(29\) | 3.12225 | − | 0.364939i | 0.579787 | − | 0.0677674i | 0.178855 | − | 0.983875i | \(-0.442761\pi\) |
0.400932 | + | 0.916108i | \(0.368686\pi\) | |||||||
\(30\) | −8.02401 | + | 1.61357i | −1.46498 | + | 0.294597i | ||||
\(31\) | −1.70184 | − | 7.18063i | −0.305660 | − | 1.28968i | −0.881526 | − | 0.472136i | \(-0.843483\pi\) |
0.575866 | − | 0.817544i | \(-0.304665\pi\) | |||||||
\(32\) | 2.34057 | + | 5.14992i | 0.413759 | + | 0.910387i | ||||
\(33\) | 2.08805 | − | 6.35654i | 0.363483 | − | 1.10653i | ||||
\(34\) | 4.40531 | + | 2.25545i | 0.755505 | + | 0.386807i | ||||
\(35\) | 6.21368 | + | 1.09564i | 1.05030 | + | 0.185197i | ||||
\(36\) | 4.32139 | + | 4.16240i | 0.720232 | + | 0.693734i | ||||
\(37\) | −10.0274 | + | 1.76809i | −1.64849 | + | 0.290673i | −0.919275 | − | 0.393616i | \(-0.871224\pi\) |
−0.729211 | + | 0.684289i | \(0.760113\pi\) | |||||||
\(38\) | −8.28944 | − | 2.55203i | −1.34472 | − | 0.413994i | ||||
\(39\) | 0.578911 | + | 0.228250i | 0.0927000 | + | 0.0365493i | ||||
\(40\) | −1.96462 | − | 9.24436i | −0.310633 | − | 1.46166i | ||||
\(41\) | −4.99836 | − | 3.72114i | −0.780612 | − | 0.581144i | 0.131389 | − | 0.991331i | \(-0.458056\pi\) |
−0.912002 | + | 0.410186i | \(0.865464\pi\) | |||||||
\(42\) | −1.93305 | − | 4.20209i | −0.298277 | − | 0.648397i | ||||
\(43\) | 0.0897814 | − | 1.54149i | 0.0136915 | − | 0.235075i | −0.984519 | − | 0.175278i | \(-0.943918\pi\) |
0.998211 | − | 0.0597969i | \(-0.0190453\pi\) | |||||||
\(44\) | 7.36588 | + | 2.33049i | 1.11045 | + | 0.351335i | ||||
\(45\) | −5.55169 | − | 8.34633i | −0.827598 | − | 1.24420i | ||||
\(46\) | 5.11002 | + | 2.25149i | 0.753431 | + | 0.331964i | ||||
\(47\) | 9.42770 | + | 2.23441i | 1.37517 | + | 0.325922i | 0.850765 | − | 0.525546i | \(-0.176139\pi\) |
0.524407 | + | 0.851468i | \(0.324287\pi\) | |||||||
\(48\) | −4.75136 | + | 5.04228i | −0.685799 | + | 0.727791i | ||||
\(49\) | −0.199686 | − | 3.42848i | −0.0285266 | − | 0.489783i | ||||
\(50\) | −0.0677267 | + | 8.71798i | −0.00957799 | + | 1.23291i | ||||
\(51\) | −0.512627 | + | 6.03970i | −0.0717822 | + | 0.845727i | ||||
\(52\) | −0.256220 | + | 0.671317i | −0.0355313 | + | 0.0930949i | ||||
\(53\) | −5.46674 | − | 9.46867i | −0.750915 | − | 1.30062i | −0.947380 | − | 0.320111i | \(-0.896280\pi\) |
0.196465 | − | 0.980511i | \(-0.437054\pi\) | |||||||
\(54\) | −2.71303 | + | 6.82931i | −0.369196 | + | 0.929352i | ||||
\(55\) | −11.1780 | − | 6.45365i | −1.50725 | − | 0.870210i | ||||
\(56\) | 4.82740 | − | 2.28514i | 0.645089 | − | 0.305364i | ||||
\(57\) | −0.953266 | − | 10.5798i | −0.126263 | − | 1.40133i | ||||
\(58\) | −3.86714 | + | 2.19282i | −0.507781 | + | 0.287931i | ||||
\(59\) | 2.69050 | − | 5.35723i | 0.350274 | − | 0.697452i | −0.647645 | − | 0.761943i | \(-0.724246\pi\) |
0.997918 | + | 0.0644903i | \(0.0205422\pi\) | |||||||
\(60\) | 9.56669 | − | 6.51577i | 1.23505 | − | 0.841183i | ||||
\(61\) | 8.17064 | − | 2.44613i | 1.04614 | − | 0.313195i | 0.282794 | − | 0.959181i | \(-0.408739\pi\) |
0.763350 | + | 0.645986i | \(0.223553\pi\) | |||||||
\(62\) | 6.16688 | + | 8.41933i | 0.783195 | + | 1.06926i | ||||
\(63\) | 3.86609 | − | 4.14062i | 0.487081 | − | 0.521670i | ||||
\(64\) | −5.88210 | − | 5.42226i | −0.735262 | − | 0.677782i | ||||
\(65\) | 0.659669 | − | 1.00298i | 0.0818219 | − | 0.124404i | ||||
\(66\) | 0.775881 | + | 9.43022i | 0.0955043 | + | 1.16078i | ||||
\(67\) | 3.47825 | + | 0.406549i | 0.424936 | + | 0.0496679i | 0.325873 | − | 0.945413i | \(-0.394342\pi\) |
0.0990622 | + | 0.995081i | \(0.468416\pi\) | |||||||
\(68\) | −6.98011 | − | 0.515470i | −0.846463 | − | 0.0625099i | ||||
\(69\) | −0.181184 | + | 6.83662i | −0.0218119 | + | 0.823033i | ||||
\(70\) | −8.69823 | + | 1.99028i | −1.03964 | + | 0.237884i | ||||
\(71\) | 7.42810 | + | 2.70361i | 0.881553 | + | 0.320859i | 0.742837 | − | 0.669473i | \(-0.233480\pi\) |
0.138717 | + | 0.990332i | \(0.455702\pi\) | |||||||
\(72\) | −7.91967 | − | 3.04613i | −0.933342 | − | 0.358989i | ||||
\(73\) | 15.3949 | − | 5.60329i | 1.80184 | − | 0.655815i | 0.803685 | − | 0.595055i | \(-0.202870\pi\) |
0.998152 | − | 0.0607600i | \(-0.0193524\pi\) | |||||||
\(74\) | 12.0918 | − | 7.81900i | 1.40564 | − | 0.908940i | ||||
\(75\) | −9.91297 | + | 3.96796i | −1.14465 | + | 0.458181i | ||||
\(76\) | 12.2037 | − | 1.23455i | 1.39986 | − | 0.141612i | ||||
\(77\) | 2.09203 | − | 6.98787i | 0.238409 | − | 0.796342i | ||||
\(78\) | −0.879790 | + | 0.0210428i | −0.0996166 | + | 0.00238263i | ||||
\(79\) | −7.12987 | + | 5.30800i | −0.802174 | + | 0.597196i | −0.918230 | − | 0.396046i | \(-0.870382\pi\) |
0.116057 | + | 0.993243i | \(0.462975\pi\) | |||||||
\(80\) | 7.64437 | + | 10.9635i | 0.854666 | + | 1.22576i | ||||
\(81\) | −8.99952 | + | 0.0933504i | −0.999946 | + | 0.0103723i | ||||
\(82\) | 8.55895 | + | 2.09886i | 0.945178 | + | 0.231781i | ||||
\(83\) | 2.75125 | − | 2.04823i | 0.301988 | − | 0.224822i | −0.435489 | − | 0.900194i | \(-0.643424\pi\) |
0.737477 | + | 0.675372i | \(0.236017\pi\) | |||||||
\(84\) | 4.82982 | + | 4.41151i | 0.526976 | + | 0.481335i | ||||
\(85\) | 11.2021 | + | 3.35368i | 1.21504 | + | 0.363758i | ||||
\(86\) | 0.730902 | + | 2.05773i | 0.0788151 | + | 0.221891i | ||||
\(87\) | −4.27966 | − | 3.36592i | −0.458828 | − | 0.360864i | ||||
\(88\) | −10.8786 | + | 1.01518i | −1.15966 | + | 0.108219i | ||||
\(89\) | −4.05959 | − | 11.1536i | −0.430316 | − | 1.18228i | −0.945619 | − | 0.325276i | \(-0.894543\pi\) |
0.515303 | − | 0.857008i | \(-0.327679\pi\) | |||||||
\(90\) | 11.8239 | + | 7.82052i | 1.24635 | + | 0.824355i | ||||
\(91\) | 0.637509 | + | 0.232034i | 0.0668291 | + | 0.0243238i | ||||
\(92\) | −7.89607 | − | 0.122690i | −0.823222 | − | 0.0127914i | ||||
\(93\) | −6.68189 | + | 10.8961i | −0.692880 | + | 1.12988i | ||||
\(94\) | −13.5120 | + | 2.27445i | −1.39366 | + | 0.234592i | ||||
\(95\) | −20.3541 | − | 2.37905i | −2.08828 | − | 0.244085i | ||||
\(96\) | 3.41694 | − | 9.18284i | 0.348740 | − | 0.937220i | ||||
\(97\) | 10.8409 | + | 7.13016i | 1.10073 | + | 0.723959i | 0.963801 | − | 0.266623i | \(-0.0859078\pi\) |
0.136925 | + | 0.990581i | \(0.456278\pi\) | |||||||
\(98\) | 2.14595 | + | 4.35701i | 0.216774 | + | 0.440125i | ||||
\(99\) | −10.3289 | + | 5.25461i | −1.03809 | + | 0.528108i | ||||
\(100\) | −4.70697 | − | 11.3956i | −0.470697 | − | 1.13956i | ||||
\(101\) | 2.44893 | + | 8.17999i | 0.243678 | + | 0.813940i | 0.989087 | + | 0.147333i | \(0.0470688\pi\) |
−0.745409 | + | 0.666607i | \(0.767746\pi\) | |||||||
\(102\) | −2.65417 | − | 8.15088i | −0.262802 | − | 0.807058i | ||||
\(103\) | 0.542162 | − | 1.07953i | 0.0534208 | − | 0.106370i | −0.865338 | − | 0.501188i | \(-0.832896\pi\) |
0.918759 | + | 0.394819i | \(0.129193\pi\) | |||||||
\(104\) | −0.0354295 | − | 1.01557i | −0.00347415 | − | 0.0995845i | ||||
\(105\) | −6.29148 | − | 8.93576i | −0.613986 | − | 0.872041i | ||||
\(106\) | 12.3305 | + | 9.32950i | 1.19765 | + | 0.906161i | ||||
\(107\) | −2.71062 | − | 1.56498i | −0.262046 | − | 0.151292i | 0.363222 | − | 0.931703i | \(-0.381677\pi\) |
−0.625267 | + | 0.780411i | \(0.715010\pi\) | |||||||
\(108\) | −0.221664 | − | 10.3899i | −0.0213296 | − | 0.999772i | ||||
\(109\) | 5.35044 | − | 3.08908i | 0.512479 | − | 0.295880i | −0.221373 | − | 0.975189i | \(-0.571054\pi\) |
0.733852 | + | 0.679309i | \(0.237721\pi\) | |||||||
\(110\) | 18.1132 | + | 2.25990i | 1.72703 | + | 0.215473i | ||||
\(111\) | 14.4726 | + | 10.0780i | 1.37368 | + | 0.956560i | ||||
\(112\) | −5.03255 | + | 5.63248i | −0.475531 | + | 0.532219i | ||||
\(113\) | 2.46265 | − | 0.143433i | 0.231667 | − | 0.0134931i | 0.0580813 | − | 0.998312i | \(-0.481502\pi\) |
0.173585 | + | 0.984819i | \(0.444465\pi\) | |||||||
\(114\) | 7.06127 | + | 13.2598i | 0.661349 | + | 1.24189i | ||||
\(115\) | 12.8378 | + | 3.04261i | 1.19713 | + | 0.283725i | ||||
\(116\) | 3.83224 | − | 4.98402i | 0.355814 | − | 0.462755i | ||||
\(117\) | −0.432032 | − | 0.987450i | −0.0399414 | − | 0.0912898i | ||||
\(118\) | −0.558690 | + | 8.45963i | −0.0514316 | + | 0.778772i | ||||
\(119\) | −0.384236 | + | 6.59707i | −0.0352228 | + | 0.604753i | ||||
\(120\) | −8.88020 | + | 13.7512i | −0.810647 | + | 1.25531i | ||||
\(121\) | −2.34196 | + | 3.14579i | −0.212905 | + | 0.285981i | ||||
\(122\) | −9.29979 | + | 7.68114i | −0.841964 | + | 0.695417i | ||||
\(123\) | 1.59195 | + | 10.6751i | 0.143542 | + | 0.962538i | ||||
\(124\) | −12.6656 | − | 7.57724i | −1.13740 | − | 0.680456i | ||||
\(125\) | 0.675803 | + | 3.83267i | 0.0604457 | + | 0.342805i | ||||
\(126\) | −2.75950 | + | 7.52117i | −0.245835 | + | 0.670039i | ||||
\(127\) | 14.2571 | + | 2.51391i | 1.26511 | + | 0.223073i | 0.765647 | − | 0.643261i | \(-0.222419\pi\) |
0.499464 | + | 0.866335i | \(0.333530\pi\) | |||||||
\(128\) | 10.6460 | + | 3.82911i | 0.940985 | + | 0.338448i | ||||
\(129\) | −1.99327 | + | 1.78314i | −0.175498 | + | 0.156997i | ||||
\(130\) | −0.307786 | + | 1.66959i | −0.0269946 | + | 0.146433i | ||||
\(131\) | 1.59631 | + | 6.73536i | 0.139470 | + | 0.588471i | 0.997227 | + | 0.0744159i | \(0.0237092\pi\) |
−0.857757 | + | 0.514055i | \(0.828143\pi\) | |||||||
\(132\) | −6.19784 | − | 11.8595i | −0.539452 | − | 1.03224i | ||||
\(133\) | −1.34447 | − | 11.5027i | −0.116581 | − | 0.997411i | ||||
\(134\) | −4.75531 | + | 1.38349i | −0.410796 | + | 0.119515i | ||||
\(135\) | −3.37857 | + | 17.0304i | −0.290781 | + | 1.46574i | ||||
\(136\) | 9.37768 | − | 3.16773i | 0.804129 | − | 0.271631i | ||||
\(137\) | −11.5792 | − | 4.99477i | −0.989276 | − | 0.426732i | −0.160941 | − | 0.986964i | \(-0.551453\pi\) |
−0.828336 | + | 0.560232i | \(0.810712\pi\) | |||||||
\(138\) | −3.52434 | − | 9.00686i | −0.300012 | − | 0.766715i | ||||
\(139\) | −12.2238 | − | 12.9565i | −1.03681 | − | 1.09895i | −0.995005 | − | 0.0998266i | \(-0.968171\pi\) |
−0.0418033 | − | 0.999126i | \(-0.513310\pi\) | |||||||
\(140\) | 10.2379 | − | 7.37741i | 0.865260 | − | 0.623505i | ||||
\(141\) | −8.84696 | − | 14.2602i | −0.745048 | − | 1.20093i | ||||
\(142\) | −11.1649 | + | 0.563291i | −0.936938 | + | 0.0472703i | ||||
\(143\) | −1.06315 | − | 0.892085i | −0.0889047 | − | 0.0745999i | ||||
\(144\) | 11.9937 | − | 0.387413i | 0.999479 | − | 0.0322844i | ||||
\(145\) | −8.04623 | + | 6.75159i | −0.668203 | + | 0.560689i | ||||
\(146\) | −16.9755 | + | 15.7681i | −1.40490 | + | 1.30498i | ||||
\(147\) | −3.94291 | + | 4.45382i | −0.325206 | + | 0.367345i | ||||
\(148\) | −11.4532 | + | 16.8380i | −0.941449 | + | 1.38408i | ||||
\(149\) | −3.03419 | − | 7.03404i | −0.248570 | − | 0.576251i | 0.747554 | − | 0.664201i | \(-0.231228\pi\) |
−0.996125 | + | 0.0879494i | \(0.971969\pi\) | |||||||
\(150\) | 10.7327 | − | 10.6222i | 0.876325 | − | 0.867301i | ||||
\(151\) | −1.60563 | − | 3.19708i | −0.130664 | − | 0.260174i | 0.818781 | − | 0.574106i | \(-0.194650\pi\) |
−0.949446 | + | 0.313931i | \(0.898354\pi\) | |||||||
\(152\) | −15.2208 | + | 8.32095i | −1.23457 | + | 0.674918i | ||||
\(153\) | 8.00735 | − | 6.79004i | 0.647356 | − | 0.548942i | ||||
\(154\) | 1.11795 | + | 10.2550i | 0.0900870 | + | 0.826368i | ||||
\(155\) | 17.9354 | + | 16.9212i | 1.44061 | + | 1.35914i | ||||
\(156\) | 1.13467 | − | 0.511333i | 0.0908466 | − | 0.0409394i | ||||
\(157\) | −2.12311 | − | 3.22804i | −0.169443 | − | 0.257626i | 0.740777 | − | 0.671751i | \(-0.234458\pi\) |
−0.910220 | + | 0.414126i | \(0.864087\pi\) | |||||||
\(158\) | 6.36968 | − | 10.8373i | 0.506744 | − | 0.862169i | ||||
\(159\) | −4.85390 | + | 18.3047i | −0.384939 | + | 1.45166i | ||||
\(160\) | −15.9899 | − | 10.0793i | −1.26412 | − | 0.796842i | ||||
\(161\) | 7.45601i | 0.587616i | ||||||||
\(162\) | 11.6738 | − | 5.07169i | 0.917182 | − | 0.398469i | ||||
\(163\) | −4.41560 | −0.345856 | −0.172928 | − | 0.984934i | \(-0.555323\pi\) | ||||
−0.172928 | + | 0.984934i | \(0.555323\pi\) | |||||||
\(164\) | −12.3056 | + | 1.97320i | −0.960908 | + | 0.154081i | ||||
\(165\) | 5.84216 | + | 21.5792i | 0.454811 | + | 1.67994i | ||||
\(166\) | −2.45790 | + | 4.18185i | −0.190770 | + | 0.324575i | ||||
\(167\) | −8.75537 | + | 5.75850i | −0.677511 | + | 0.445606i | −0.841069 | − | 0.540928i | \(-0.818073\pi\) |
0.163558 | + | 0.986534i | \(0.447703\pi\) | |||||||
\(168\) | −8.71909 | − | 3.09103i | −0.672693 | − | 0.238478i | ||||
\(169\) | −8.83256 | + | 9.36197i | −0.679428 | + | 0.720151i | ||||
\(170\) | −16.4394 | + | 1.79216i | −1.26085 | + | 0.137452i | ||||
\(171\) | −11.7534 | + | 14.1556i | −0.898806 | + | 1.08251i | ||||
\(172\) | −2.08410 | − | 2.27893i | −0.158911 | − | 0.173767i | ||||
\(173\) | −7.11516 | + | 3.57337i | −0.540956 | + | 0.271678i | −0.698226 | − | 0.715877i | \(-0.746027\pi\) |
0.157270 | + | 0.987556i | \(0.449731\pi\) | |||||||
\(174\) | 7.42720 | + | 2.03137i | 0.563054 | + | 0.153998i | ||||
\(175\) | −10.6889 | + | 4.61073i | −0.808003 | + | 0.348539i | ||||
\(176\) | 13.6150 | − | 7.30628i | 1.02627 | − | 0.550732i | ||||
\(177\) | −9.84792 | + | 3.29161i | −0.740215 | + | 0.247413i | ||||
\(178\) | 11.4240 | + | 12.2988i | 0.856267 | + | 0.921832i | ||||
\(179\) | −7.22510 | − | 8.61054i | −0.540029 | − | 0.643582i | 0.425165 | − | 0.905116i | \(-0.360216\pi\) |
−0.965194 | + | 0.261534i | \(0.915772\pi\) | |||||||
\(180\) | −19.7065 | − | 3.68550i | −1.46884 | − | 0.274701i | ||||
\(181\) | −12.0375 | + | 14.3457i | −0.894737 | + | 1.06631i | 0.102697 | + | 0.994713i | \(0.467253\pi\) |
−0.997434 | + | 0.0715934i | \(0.977192\pi\) | |||||||
\(182\) | −0.958216 | + | 0.0483438i | −0.0710277 | + | 0.00358348i | ||||
\(183\) | −13.0210 | − | 6.97733i | −0.962538 | − | 0.515779i | ||||
\(184\) | 10.3550 | − | 4.18328i | 0.763381 | − | 0.308396i | ||||
\(185\) | 24.7467 | − | 23.3473i | 1.81941 | − | 1.71652i | ||||
\(186\) | 2.71233 | − | 17.8715i | 0.198878 | − | 1.31040i | ||||
\(187\) | 5.35436 | − | 12.4128i | 0.391549 | − | 0.907713i | ||||
\(188\) | 16.3533 | − | 10.3954i | 1.19269 | − | 0.758164i | ||||
\(189\) | −9.80527 | + | 0.361666i | −0.713229 | + | 0.0263073i | ||||
\(190\) | 27.8272 | − | 8.09591i | 2.01880 | − | 0.587339i | ||||
\(191\) | 20.7577 | − | 2.42623i | 1.50198 | − | 0.175556i | 0.675011 | − | 0.737807i | \(-0.264139\pi\) |
0.826966 | + | 0.562251i | \(0.190065\pi\) | |||||||
\(192\) | 0.599087 | + | 13.8434i | 0.0432354 | + | 0.999065i | ||||
\(193\) | −10.6507 | + | 2.52427i | −0.766656 | + | 0.181701i | −0.595295 | − | 0.803508i | \(-0.702965\pi\) |
−0.171361 | + | 0.985208i | \(0.554816\pi\) | |||||||
\(194\) | −18.0461 | − | 3.32676i | −1.29563 | − | 0.238847i | ||||
\(195\) | −2.03522 | + | 0.425745i | −0.145745 | + | 0.0304882i | ||||
\(196\) | −5.19241 | − | 4.49625i | −0.370886 | − | 0.321161i | ||||
\(197\) | 0.780679 | − | 4.42745i | 0.0556211 | − | 0.315443i | −0.944285 | − | 0.329128i | \(-0.893245\pi\) |
0.999906 | + | 0.0136853i | \(0.00435631\pi\) | |||||||
\(198\) | 10.5669 | − | 12.5273i | 0.750957 | − | 0.890277i | ||||
\(199\) | 19.1767 | − | 3.38136i | 1.35940 | − | 0.239698i | 0.554041 | − | 0.832489i | \(-0.313085\pi\) |
0.805356 | + | 0.592791i | \(0.201974\pi\) | |||||||
\(200\) | 12.4006 | + | 12.2580i | 0.876852 | + | 0.866768i | ||||
\(201\) | −3.77437 | − | 4.74811i | −0.266224 | − | 0.334906i | ||||
\(202\) | −7.68992 | − | 9.31043i | −0.541061 | − | 0.655080i | ||||
\(203\) | −4.76133 | − | 3.54468i | −0.334180 | − | 0.248788i | ||||
\(204\) | 7.94132 | + | 9.15962i | 0.556003 | + | 0.641301i | ||||
\(205\) | 20.7862 | + | 1.21066i | 1.45177 | + | 0.0845560i | ||||
\(206\) | −0.112581 | + | 1.70470i | −0.00784391 | + | 0.118772i | ||||
\(207\) | 8.57386 | − | 8.17348i | 0.595924 | − | 0.568096i | ||||
\(208\) | 0.604759 | + | 1.30366i | 0.0419325 | + | 0.0903925i | ||||
\(209\) | −5.46354 | + | 23.0525i | −0.377921 | + | 1.59457i | ||||
\(210\) | 13.1120 | + | 8.18155i | 0.904811 | + | 0.564581i | ||||
\(211\) | 0.343375 | + | 5.89553i | 0.0236389 | + | 0.405865i | 0.989284 | + | 0.146001i | \(0.0466404\pi\) |
−0.965645 | + | 0.259863i | \(0.916323\pi\) | |||||||
\(212\) | −21.1966 | − | 5.37283i | −1.45579 | − | 0.369008i | ||||
\(213\) | −5.81846 | − | 12.3937i | −0.398674 | − | 0.849203i | ||||
\(214\) | 4.39237 | + | 0.548015i | 0.300256 | + | 0.0374615i | ||||
\(215\) | 2.57970 | + | 4.46817i | 0.175934 | + | 0.304727i | ||||
\(216\) | 6.00365 | + | 13.4148i | 0.408497 | + | 0.912760i | ||||
\(217\) | −6.96744 | + | 12.0680i | −0.472980 | + | 0.819226i | ||||
\(218\) | −5.27179 | + | 6.96759i | −0.357051 | + | 0.471905i | ||||
\(219\) | −25.7484 | − | 11.9255i | −1.73992 | − | 0.805851i | ||||
\(220\) | −24.8421 | + | 7.01860i | −1.67486 | + | 0.473194i | ||||
\(221\) | 1.12357 | + | 0.564278i | 0.0755795 | + | 0.0379574i | ||||
\(222\) | −24.3991 | − | 5.16981i | −1.63756 | − | 0.346975i | ||||
\(223\) | 24.4351 | − | 7.31539i | 1.63630 | − | 0.489875i | 0.668944 | − | 0.743313i | \(-0.266747\pi\) |
0.967352 | + | 0.253438i | \(0.0815614\pi\) | |||||||
\(224\) | 3.45867 | − | 10.1065i | 0.231092 | − | 0.675266i | ||||
\(225\) | 17.0194 | + | 7.23701i | 1.13463 | + | 0.482467i | ||||
\(226\) | −3.12961 | + | 1.54142i | −0.208179 | + | 0.102534i | ||||
\(227\) | 6.76517 | − | 10.2859i | 0.449020 | − | 0.682702i | −0.538064 | − | 0.842904i | \(-0.680844\pi\) |
0.987084 | + | 0.160202i | \(0.0512146\pi\) | |||||||
\(228\) | −16.4932 | − | 13.3917i | −1.09229 | − | 0.886889i | ||||
\(229\) | 0.283576 | − | 2.42615i | 0.0187392 | − | 0.160324i | −0.980629 | − | 0.195876i | \(-0.937245\pi\) |
0.999368 | + | 0.0355520i | \(0.0113189\pi\) | |||||||
\(230\) | −18.3995 | + | 3.09714i | −1.21323 | + | 0.204220i | ||||
\(231\) | −11.1050 | + | 6.02497i | −0.730654 | + | 0.396414i | ||||
\(232\) | −2.25150 | + | 8.60138i | −0.147818 | + | 0.564708i | ||||
\(233\) | −1.57538 | + | 4.32833i | −0.103207 | + | 0.283558i | −0.980539 | − | 0.196326i | \(-0.937099\pi\) |
0.877332 | + | 0.479884i | \(0.159321\pi\) | |||||||
\(234\) | 1.10601 | + | 1.04888i | 0.0723024 | + | 0.0685675i | ||||
\(235\) | −30.4217 | + | 11.0726i | −1.98449 | + | 0.722296i | ||||
\(236\) | −3.92521 | − | 11.3291i | −0.255509 | − | 0.737459i | ||||
\(237\) | 15.2390 | + | 2.19183i | 0.989876 | + | 0.142375i | ||||
\(238\) | −3.12802 | − | 8.80644i | −0.202760 | − | 0.570837i | ||||
\(239\) | 2.78142 | − | 9.29059i | 0.179915 | − | 0.600958i | −0.819689 | − | 0.572809i | \(-0.805854\pi\) |
0.999604 | − | 0.0281489i | \(-0.00896126\pi\) | |||||||
\(240\) | 4.00603 | − | 22.8004i | 0.258588 | − | 1.47176i | ||||
\(241\) | 8.26855 | + | 11.1066i | 0.532624 | + | 0.715439i | 0.984253 | − | 0.176768i | \(-0.0565641\pi\) |
−0.451628 | + | 0.892206i | \(0.649157\pi\) | |||||||
\(242\) | 1.32095 | − | 5.38671i | 0.0849141 | − | 0.346271i | ||||
\(243\) | 11.1647 | + | 10.8789i | 0.716215 | + | 0.697880i | ||||
\(244\) | 7.89147 | − | 15.1227i | 0.505200 | − | 0.968133i | ||||
\(245\) | 6.85253 | + | 9.20454i | 0.437792 | + | 0.588057i | ||||
\(246\) | −7.94578 | − | 13.0325i | −0.506605 | − | 0.830925i | ||||
\(247\) | −2.11087 | − | 0.631954i | −0.134312 | − | 0.0402102i | ||||
\(248\) | 20.6693 | + | 2.90560i | 1.31250 | + | 0.184506i | ||||
\(249\) | −5.88034 | − | 0.845774i | −0.372652 | − | 0.0535987i | ||||
\(250\) | −2.98859 | − | 4.62174i | −0.189015 | − | 0.292305i | ||||
\(251\) | 4.98379 | + | 13.6929i | 0.314574 | + | 0.864286i | 0.991718 | + | 0.128435i | \(0.0409954\pi\) |
−0.677144 | + | 0.735851i | \(0.736782\pi\) | |||||||
\(252\) | −0.541666 | − | 11.3169i | −0.0341217 | − | 0.712898i | ||||
\(253\) | 5.21671 | − | 14.3328i | 0.327971 | − | 0.901094i | ||||
\(254\) | −19.9578 | + | 4.56663i | −1.25226 | + | 0.286536i | ||||
\(255\) | −9.65847 | − | 17.8021i | −0.604837 | − | 1.11481i | ||||
\(256\) | −15.9765 | + | 0.866897i | −0.998531 | + | 0.0541811i | ||||
\(257\) | 3.21344 | − | 27.4927i | 0.200449 | − | 1.71495i | −0.401035 | − | 0.916063i | \(-0.631349\pi\) |
0.601484 | − | 0.798885i | \(-0.294577\pi\) | |||||||
\(258\) | 1.61617 | − | 3.41957i | 0.100618 | − | 0.212893i | ||||
\(259\) | 16.0638 | + | 10.5653i | 0.998155 | + | 0.656497i | ||||
\(260\) | −0.517332 | − | 2.34454i | −0.0320836 | − | 0.145402i | ||||
\(261\) | 1.14338 | + | 9.36094i | 0.0707734 | + | 0.579428i | ||||
\(262\) | −5.78447 | − | 7.89724i | −0.357366 | − | 0.487893i | ||||
\(263\) | −6.29825 | − | 21.0376i | −0.388367 | − | 1.29724i | −0.899193 | − | 0.437552i | \(-0.855846\pi\) |
0.510826 | − | 0.859684i | \(-0.329340\pi\) | |||||||
\(264\) | 14.5981 | + | 12.0424i | 0.898453 | + | 0.741156i | ||||
\(265\) | 32.6469 | + | 16.3959i | 2.00548 | + | 1.00719i | ||||
\(266\) | 8.07858 | + | 14.2470i | 0.495330 | + | 0.873538i | ||||
\(267\) | −8.64005 | + | 18.6548i | −0.528763 | + | 1.14166i | ||||
\(268\) | 5.43456 | − | 4.41809i | 0.331969 | − | 0.269878i | ||||
\(269\) | −8.39301 | + | 14.5371i | −0.511731 | + | 0.886343i | 0.488177 | + | 0.872745i | \(0.337662\pi\) |
−0.999908 | + | 0.0135987i | \(0.995671\pi\) | |||||||
\(270\) | −4.96550 | − | 24.0466i | −0.302191 | − | 1.46343i | ||||
\(271\) | 22.5096 | − | 12.9959i | 1.36736 | − | 0.789446i | 0.376770 | − | 0.926307i | \(-0.377035\pi\) |
0.990590 | + | 0.136861i | \(0.0437013\pi\) | |||||||
\(272\) | −10.4755 | + | 9.28520i | −0.635170 | + | 0.562998i | ||||
\(273\) | −0.499363 | − | 1.06368i | −0.0302228 | − | 0.0643767i | ||||
\(274\) | 17.8334 | + | 0.138541i | 1.07736 | + | 0.00836957i | ||||
\(275\) | 23.7733 | − | 1.38464i | 1.43359 | − | 0.0834968i | ||||
\(276\) | 9.54584 | + | 9.79622i | 0.574592 | + | 0.589663i | ||||
\(277\) | 3.71181 | − | 15.6614i | 0.223021 | − | 0.941001i | −0.740220 | − | 0.672364i | \(-0.765279\pi\) |
0.963242 | − | 0.268636i | \(-0.0865730\pi\) | |||||||
\(278\) | 23.0525 | + | 10.1570i | 1.38260 | + | 0.609176i | ||||
\(279\) | 21.5151 | − | 5.21718i | 1.28808 | − | 0.312344i | ||||
\(280\) | −9.28076 | + | 15.2430i | −0.554631 | + | 0.910944i | ||||
\(281\) | −13.1940 | − | 0.768465i | −0.787090 | − | 0.0458428i | −0.340109 | − | 0.940386i | \(-0.610464\pi\) |
−0.446981 | + | 0.894543i | \(0.647501\pi\) | |||||||
\(282\) | 19.3700 | + | 13.7130i | 1.15347 | + | 0.816597i | ||||
\(283\) | −8.62299 | + | 11.5827i | −0.512584 | + | 0.688520i | −0.980783 | − | 0.195104i | \(-0.937496\pi\) |
0.468199 | + | 0.883623i | \(0.344903\pi\) | |||||||
\(284\) | 14.2365 | − | 6.87500i | 0.844783 | − | 0.407956i | ||||
\(285\) | 22.0869 | + | 27.7851i | 1.30832 | + | 1.64585i | ||||
\(286\) | 1.87581 | + | 0.577498i | 0.110919 | + | 0.0341482i | ||||
\(287\) | 2.04329 | + | 11.5881i | 0.120611 | + | 0.684022i | ||||
\(288\) | −15.4131 | + | 7.10175i | −0.908229 | + | 0.418475i | ||||
\(289\) | 0.825363 | − | 4.68086i | 0.0485507 | − | 0.275345i | ||||
\(290\) | 6.76953 | − | 13.2221i | 0.397521 | − | 0.776430i | ||||
\(291\) | −4.60175 | − | 21.9981i | −0.269759 | − | 1.28955i | ||||
\(292\) | 13.4437 | − | 29.8809i | 0.786736 | − | 1.74864i | ||||
\(293\) | 17.8304 | − | 4.22588i | 1.04166 | − | 0.246878i | 0.326032 | − | 0.945359i | \(-0.394288\pi\) |
0.715629 | + | 0.698480i | \(0.246140\pi\) | |||||||
\(294\) | 2.68732 | − | 7.97147i | 0.156728 | − | 0.464906i | ||||
\(295\) | 2.32547 | + | 19.8957i | 0.135394 | + | 1.15837i | ||||
\(296\) | 5.66048 | − | 28.2374i | 0.329009 | − | 1.64127i | ||||
\(297\) | 19.1018 | + | 6.16516i | 1.10840 | + | 0.357739i | ||||
\(298\) | 7.82212 | + | 7.49550i | 0.453123 | + | 0.434202i | ||||
\(299\) | 1.30258 | + | 0.561880i | 0.0753304 | + | 0.0324944i | ||||
\(300\) | −8.14071 | + | 19.7427i | −0.470004 | + | 1.13985i | ||||
\(301\) | −2.12083 | + | 2.00090i | −0.122243 | + | 0.115330i | ||||
\(302\) | 3.85043 | + | 3.28221i | 0.221568 | + | 0.188870i | ||||
\(303\) | 6.98531 | − | 13.0359i | 0.401296 | − | 0.748891i | ||||
\(304\) | 15.2538 | − | 19.2131i | 0.874866 | − | 1.10195i | ||||
\(305\) | −18.3184 | + | 21.8310i | −1.04891 | + | 1.25004i | ||||
\(306\) | −6.69773 | + | 13.2509i | −0.382884 | + | 0.757501i | ||||
\(307\) | 11.7059 | − | 9.82239i | 0.668089 | − | 0.560593i | −0.244410 | − | 0.969672i | \(-0.578594\pi\) |
0.912499 | + | 0.409079i | \(0.134150\pi\) | |||||||
\(308\) | −7.09714 | − | 12.7459i | −0.404397 | − | 0.726266i | ||||
\(309\) | −1.98445 | + | 0.663291i | −0.112891 | + | 0.0377333i | ||||
\(310\) | −32.6747 | − | 12.1809i | −1.85580 | − | 0.691829i | ||||
\(311\) | −11.0028 | − | 25.5072i | −0.623909 | − | 1.44638i | −0.877741 | − | 0.479135i | \(-0.840950\pi\) |
0.253832 | − | 0.967248i | \(-0.418309\pi\) | |||||||
\(312\) | −1.19708 | + | 1.29031i | −0.0677711 | + | 0.0730494i | ||||
\(313\) | 15.8629 | − | 7.96666i | 0.896625 | − | 0.450302i | 0.0600759 | − | 0.998194i | \(-0.480866\pi\) |
0.836549 | + | 0.547892i | \(0.184569\pi\) | |||||||
\(314\) | 4.54167 | + | 3.03791i | 0.256301 | + | 0.171439i | ||||
\(315\) | −3.19020 | + | 18.6578i | −0.179747 | + | 1.05125i | ||||
\(316\) | −2.33792 | + | 17.6231i | −0.131518 | + | 0.991377i | ||||
\(317\) | −16.7927 | + | 17.7992i | −0.943173 | + | 0.999705i | 0.0568263 | + | 0.998384i | \(0.481902\pi\) |
−0.999999 | + | 0.00132067i | \(0.999580\pi\) | |||||||
\(318\) | −3.74429 | − | 26.5184i | −0.209970 | − | 1.48708i | ||||
\(319\) | 6.67268 | + | 10.1453i | 0.373598 | + | 0.568028i | ||||
\(320\) | 26.3768 | + | 4.33698i | 1.47451 | + | 0.242444i | ||||
\(321\) | 1.41669 | + | 5.23286i | 0.0790722 | + | 0.292070i | ||||
\(322\) | −4.10108 | − | 9.71418i | −0.228544 | − | 0.541350i | ||||
\(323\) | − | 21.4628i | − | 1.19422i | ||||||
\(324\) | −12.4198 | + | 13.0288i | −0.689989 | + | 0.723820i | ||||
\(325\) | 2.21484i | 0.122857i | ||||||||
\(326\) | 5.75293 | − | 2.42874i | 0.318625 | − | 0.134516i | ||||
\(327\) | −10.3434 | − | 2.74278i | −0.571991 | − | 0.151676i | ||||
\(328\) | 14.9472 | − | 9.33936i | 0.825323 | − | 0.515680i | ||||
\(329\) | −10.0536 | − | 15.2857i | −0.554272 | − | 0.842730i | ||||
\(330\) | −19.4809 | − | 24.9015i | −1.07239 | − | 1.37078i | ||||
\(331\) | 19.6391 | − | 20.8162i | 1.07946 | − | 1.14416i | 0.0905149 | − | 0.995895i | \(-0.471149\pi\) |
0.988947 | − | 0.148268i | \(-0.0473698\pi\) | |||||||
\(332\) | 0.902147 | − | 6.80033i | 0.0495118 | − | 0.373217i | ||||
\(333\) | −5.46022 | − | 30.0541i | −0.299218 | − | 1.64696i | ||||
\(334\) | 8.23969 | − | 12.3183i | 0.450856 | − | 0.674029i | ||||
\(335\) | −10.4566 | + | 5.25150i | −0.571305 | + | 0.286920i | ||||
\(336\) | 13.0600 | − | 0.768627i | 0.712481 | − | 0.0419320i | ||||
\(337\) | 5.32313 | + | 12.3404i | 0.289969 | + | 0.672225i | 0.999472 | − | 0.0324777i | \(-0.0103398\pi\) |
−0.709503 | + | 0.704702i | \(0.751081\pi\) | |||||||
\(338\) | 6.35822 | − | 17.0556i | 0.345841 | − | 0.927704i | ||||
\(339\) | −3.19914 | − | 2.83216i | −0.173754 | − | 0.153822i | ||||
\(340\) | 20.4326 | − | 11.3772i | 1.10812 | − | 0.617018i | ||||
\(341\) | 21.8371 | − | 18.3235i | 1.18255 | − | 0.992273i | ||||
\(342\) | 7.52701 | − | 24.9077i | 0.407014 | − | 1.34685i | ||||
\(343\) | −12.6649 | + | 15.0935i | −0.683843 | + | 0.814972i | ||||
\(344\) | 3.96879 | + | 1.82281i | 0.213983 | + | 0.0982793i | ||||
\(345\) | −12.0470 | − | 19.4183i | −0.648588 | − | 1.04545i | ||||
\(346\) | 7.30462 | − | 8.56922i | 0.392699 | − | 0.460684i | ||||
\(347\) | −6.92438 | + | 6.53282i | −0.371720 | + | 0.350700i | −0.849321 | − | 0.527877i | \(-0.822988\pi\) |
0.477600 | + | 0.878577i | \(0.341507\pi\) | |||||||
\(348\) | −10.7940 | + | 1.43863i | −0.578618 | + | 0.0771188i | ||||
\(349\) | −25.6660 | − | 11.0712i | −1.37387 | − | 0.592630i | −0.424111 | − | 0.905610i | \(-0.639413\pi\) |
−0.949759 | + | 0.312981i | \(0.898672\pi\) | |||||||
\(350\) | 11.3901 | − | 11.8864i | 0.608827 | − | 0.635357i | ||||
\(351\) | −0.675735 | + | 1.74026i | −0.0360681 | + | 0.0928883i | ||||
\(352\) | −13.7198 | + | 17.0078i | −0.731266 | + | 0.906521i | ||||
\(353\) | −0.121435 | − | 1.03895i | −0.00646335 | − | 0.0552975i | 0.989622 | − | 0.143697i | \(-0.0458990\pi\) |
−0.996085 | + | 0.0883992i | \(0.971825\pi\) | |||||||
\(354\) | 11.0200 | − | 9.70525i | 0.585707 | − | 0.515828i | ||||
\(355\) | −25.7009 | + | 6.09123i | −1.36406 | + | 0.323289i | ||||
\(356\) | −21.6487 | − | 9.74002i | −1.14738 | − | 0.516220i | ||||
\(357\) | 8.53056 | − | 7.63129i | 0.451485 | − | 0.403890i | ||||
\(358\) | 14.1494 | + | 7.24430i | 0.747821 | + | 0.382873i | ||||
\(359\) | 2.13892 | − | 12.1304i | 0.112888 | − | 0.640219i | −0.874886 | − | 0.484328i | \(-0.839064\pi\) |
0.987774 | − | 0.155891i | \(-0.0498247\pi\) | |||||||
\(360\) | 27.7021 | − | 6.03760i | 1.46003 | − | 0.318210i | ||||
\(361\) | 3.23225 | + | 18.3310i | 0.170119 | + | 0.964790i | ||||
\(362\) | 7.79254 | − | 25.3115i | 0.409567 | − | 1.33035i | ||||
\(363\) | 6.71852 | − | 1.00192i | 0.352631 | − | 0.0525872i | ||||
\(364\) | 1.22184 | − | 0.590040i | 0.0640416 | − | 0.0309265i | ||||
\(365\) | −32.6893 | + | 43.9093i | −1.71103 | + | 2.29832i | ||||
\(366\) | 20.8024 | + | 1.92851i | 1.08736 | + | 0.100805i | ||||
\(367\) | −30.2256 | − | 1.76044i | −1.57776 | − | 0.0918941i | −0.753248 | − | 0.657737i | \(-0.771514\pi\) |
−0.824513 | + | 0.565842i | \(0.808551\pi\) | |||||||
\(368\) | −11.1902 | + | 11.1459i | −0.583331 | + | 0.581020i | ||||
\(369\) | 11.0855 | − | 15.0528i | 0.577088 | − | 0.783616i | ||||
\(370\) | −19.3997 | + | 44.0299i | −1.00854 | + | 2.28901i | ||||
\(371\) | −4.76125 | + | 20.0893i | −0.247192 | + | 1.04298i | ||||
\(372\) | 6.29616 | + | 24.7760i | 0.326441 | + | 1.28458i | ||||
\(373\) | −29.2207 | + | 1.70191i | −1.51299 | + | 0.0881218i | −0.794436 | − | 0.607347i | \(-0.792234\pi\) |
−0.718556 | + | 0.695469i | \(0.755197\pi\) | |||||||
\(374\) | −0.148515 | + | 19.1173i | −0.00767952 | + | 0.988532i | ||||
\(375\) | 3.85203 | − | 5.53174i | 0.198918 | − | 0.285658i | ||||
\(376\) | −15.5883 | + | 22.5388i | −0.803908 | + | 1.16235i | ||||
\(377\) | −0.978075 | + | 0.564692i | −0.0503734 | + | 0.0290831i | ||||
\(378\) | 12.5760 | − | 5.86446i | 0.646841 | − | 0.301635i | ||||
\(379\) | −6.19182 | + | 10.7245i | −0.318052 | + | 0.550883i | −0.980082 | − | 0.198595i | \(-0.936362\pi\) |
0.662029 | + | 0.749478i | \(0.269695\pi\) | |||||||
\(380\) | −31.8020 | + | 25.8539i | −1.63141 | + | 1.32627i | ||||
\(381\) | −14.4356 | − | 20.5028i | −0.739558 | − | 1.05039i | ||||
\(382\) | −25.7100 | + | 14.5786i | −1.31544 | + | 0.745905i | ||||
\(383\) | 16.3932 | + | 8.23297i | 0.837652 | + | 0.420685i | 0.815281 | − | 0.579065i | \(-0.196582\pi\) |
0.0223710 | + | 0.999750i | \(0.492879\pi\) | |||||||
\(384\) | −8.39494 | − | 17.7066i | −0.428402 | − | 0.903588i | ||||
\(385\) | 6.99024 | + | 23.3490i | 0.356256 | + | 1.18998i | ||||
\(386\) | 12.4880 | − | 9.14707i | 0.635624 | − | 0.465574i | ||||
\(387\) | 4.62580 | + | 0.245357i | 0.235142 | + | 0.0124722i | ||||
\(388\) | 25.3415 | − | 5.59168i | 1.28652 | − | 0.283875i | ||||
\(389\) | 4.46390 | + | 2.93595i | 0.226329 | + | 0.148859i | 0.657609 | − | 0.753359i | \(-0.271568\pi\) |
−0.431281 | + | 0.902218i | \(0.641938\pi\) | |||||||
\(390\) | 2.41745 | − | 1.67414i | 0.122412 | − | 0.0847732i | ||||
\(391\) | −1.60418 | + | 13.7246i | −0.0811268 | + | 0.694084i | ||||
\(392\) | 9.23812 | + | 3.00200i | 0.466595 | + | 0.151624i | ||||
\(393\) | 6.26754 | − | 10.2205i | 0.316156 | − | 0.515554i | ||||
\(394\) | 1.41814 | + | 6.19778i | 0.0714449 | + | 0.312239i | ||||
\(395\) | 10.1582 | − | 27.9094i | 0.511114 | − | 1.40428i | ||||
\(396\) | −6.87678 | + | 22.1336i | −0.345571 | + | 1.11225i | ||||
\(397\) | 6.56854 | + | 18.0469i | 0.329665 | + | 0.905748i | 0.988196 | + | 0.153194i | \(0.0489560\pi\) |
−0.658531 | + | 0.752554i | \(0.728822\pi\) | |||||||
\(398\) | −23.1247 | + | 14.9533i | −1.15914 | + | 0.749543i | ||||
\(399\) | −12.4004 | + | 15.7667i | −0.620797 | + | 0.789324i | ||||
\(400\) | −22.8986 | − | 9.14970i | −1.14493 | − | 0.457485i | ||||
\(401\) | −18.1182 | − | 5.42424i | −0.904781 | − | 0.270874i | −0.199580 | − | 0.979881i | \(-0.563958\pi\) |
−0.705201 | + | 0.709008i | \(0.749143\pi\) | |||||||
\(402\) | 7.52914 | + | 4.11011i | 0.375519 | + | 0.204994i | ||||
\(403\) | 1.58324 | + | 2.12666i | 0.0788669 | + | 0.105937i | ||||
\(404\) | 15.1400 | + | 7.90050i | 0.753244 | + | 0.393065i | ||||
\(405\) | 24.9523 | − | 16.7847i | 1.23989 | − | 0.834039i | ||||
\(406\) | 8.15308 | + | 1.99933i | 0.404630 | + | 0.0992253i | ||||
\(407\) | −23.4874 | − | 31.5491i | −1.16423 | − | 1.56383i | ||||
\(408\) | −15.3846 | − | 7.56573i | −0.761651 | − | 0.374560i | ||||
\(409\) | −10.1880 | + | 34.0304i | −0.503766 | + | 1.68270i | 0.206240 | + | 0.978502i | \(0.433877\pi\) |
−0.710006 | + | 0.704196i | \(0.751308\pi\) | |||||||
\(410\) | −27.7475 | + | 9.85585i | −1.37035 | + | 0.486746i | ||||
\(411\) | 8.11683 | + | 20.2779i | 0.400374 | + | 1.00023i | ||||
\(412\) | −0.790967 | − | 2.28291i | −0.0389682 | − | 0.112471i | ||||
\(413\) | −10.6375 | + | 3.87174i | −0.523438 | + | 0.190516i | ||||
\(414\) | −6.67487 | + | 15.3649i | −0.328052 | + | 0.755143i | ||||
\(415\) | −3.91980 | + | 10.7696i | −0.192416 | + | 0.528657i | ||||
\(416\) | −1.50498 | − | 1.36585i | −0.0737877 | − | 0.0669665i | ||||
\(417\) | −0.817361 | + | 30.8416i | −0.0400264 | + | 1.51032i | ||||
\(418\) | −5.56145 | − | 33.0394i | −0.272020 | − | 1.61601i | ||||
\(419\) | 4.54838 | − | 38.9139i | 0.222203 | − | 1.90107i | −0.177011 | − | 0.984209i | \(-0.556643\pi\) |
0.399214 | − | 0.916858i | \(-0.369283\pi\) | |||||||
\(420\) | −21.5833 | − | 3.44741i | −1.05316 | − | 0.168216i | ||||
\(421\) | 2.33002 | − | 3.54263i | 0.113558 | − | 0.172657i | −0.774237 | − | 0.632896i | \(-0.781866\pi\) |
0.887795 | + | 0.460239i | \(0.152236\pi\) | |||||||
\(422\) | −3.69013 | − | 7.49221i | −0.179633 | − | 0.364715i | ||||
\(423\) | −6.55645 | + | 28.3175i | −0.318785 | + | 1.37684i | ||||
\(424\) | 30.5716 | − | 4.65884i | 1.48469 | − | 0.226253i | ||||
\(425\) | −20.6675 | + | 6.18745i | −1.00252 | + | 0.300135i | ||||
\(426\) | 14.3977 | + | 12.9470i | 0.697569 | + | 0.627283i | ||||
\(427\) | −14.3922 | − | 7.22804i | −0.696488 | − | 0.349789i | ||||
\(428\) | −6.02410 | + | 1.70198i | −0.291186 | + | 0.0822681i | ||||
\(429\) | 0.215714 | + | 2.39411i | 0.0104148 | + | 0.115589i | ||||
\(430\) | −5.81867 | − | 4.40250i | −0.280601 | − | 0.212307i | ||||
\(431\) | 2.19710 | − | 3.80549i | 0.105831 | − | 0.183304i | −0.808247 | − | 0.588844i | \(-0.799583\pi\) |
0.914077 | + | 0.405540i | \(0.132917\pi\) | |||||||
\(432\) | −15.2006 | − | 14.1754i | −0.731338 | − | 0.682015i | ||||
\(433\) | −14.5527 | − | 25.2061i | −0.699360 | − | 1.21133i | −0.968689 | − | 0.248279i | \(-0.920135\pi\) |
0.269328 | − | 0.963048i | \(-0.413198\pi\) | |||||||
\(434\) | 2.43982 | − | 19.5553i | 0.117115 | − | 0.938683i | ||||
\(435\) | 18.1276 | + | 1.53860i | 0.869152 | + | 0.0737704i | ||||
\(436\) | 3.03601 | − | 11.9775i | 0.145399 | − | 0.573619i | ||||
\(437\) | −1.40805 | − | 24.1753i | −0.0673562 | − | 1.15646i | ||||
\(438\) | 40.1062 | + | 1.37474i | 1.91635 | + | 0.0656878i | ||||
\(439\) | 1.04629 | − | 4.41463i | 0.0499365 | − | 0.210699i | −0.942357 | − | 0.334610i | \(-0.891396\pi\) |
0.992293 | + | 0.123911i | \(0.0395437\pi\) | |||||||
\(440\) | 28.5055 | − | 22.8084i | 1.35895 | − | 1.08735i | ||||
\(441\) | 10.2822 | − | 0.652393i | 0.489628 | − | 0.0310663i | ||||
\(442\) | −1.77423 | − | 0.117174i | −0.0843917 | − | 0.00557339i | ||||
\(443\) | 3.27835 | + | 0.190942i | 0.155759 | + | 0.00907194i | 0.135847 | − | 0.990730i | \(-0.456624\pi\) |
0.0199120 | + | 0.999802i | \(0.493661\pi\) | |||||||
\(444\) | 34.6324 | − | 6.68484i | 1.64358 | − | 0.317248i | ||||
\(445\) | 31.8124 | + | 23.6834i | 1.50805 | + | 1.12270i | ||||
\(446\) | −27.8119 | + | 22.9712i | −1.31693 | + | 1.08772i | ||||
\(447\) | −4.86681 | + | 12.3437i | −0.230192 | + | 0.583836i | ||||
\(448\) | 1.05274 | + | 15.0697i | 0.0497373 | + | 0.711979i | ||||
\(449\) | −21.0782 | + | 3.71666i | −0.994744 | + | 0.175400i | −0.647246 | − | 0.762281i | \(-0.724080\pi\) |
−0.347497 | + | 0.937681i | \(0.612968\pi\) | |||||||
\(450\) | −26.1547 | − | 0.0675375i | −1.23294 | − | 0.00318375i | ||||
\(451\) | 4.17992 | − | 23.7055i | 0.196825 | − | 1.11625i | ||||
\(452\) | 3.22962 | − | 3.72967i | 0.151909 | − | 0.175429i | ||||
\(453\) | −1.93385 | + | 5.88713i | −0.0908604 | + | 0.276601i | ||||
\(454\) | −3.15646 | + | 17.1223i | −0.148140 | + | 0.803589i | ||||
\(455\) | −2.20576 | + | 0.522774i | −0.103407 | + | 0.0245080i | ||||
\(456\) | 28.8544 | + | 8.37574i | 1.35123 | + | 0.392230i | ||||
\(457\) | −31.8363 | + | 3.72113i | −1.48924 | + | 0.174067i | −0.821448 | − | 0.570283i | \(-0.806834\pi\) |
−0.667790 | + | 0.744350i | \(0.732759\pi\) | |||||||
\(458\) | 0.965009 | + | 3.31692i | 0.0450919 | + | 0.154990i | ||||
\(459\) | −18.1268 | − | 1.44389i | −0.846088 | − | 0.0673951i | ||||
\(460\) | 22.2685 | − | 14.1556i | 1.03827 | − | 0.660006i | ||||
\(461\) | 11.4913 | − | 26.6399i | 0.535204 | − | 1.24074i | −0.409347 | − | 0.912379i | \(-0.634244\pi\) |
0.944551 | − | 0.328364i | \(-0.106497\pi\) | |||||||
\(462\) | 11.1543 | − | 13.9579i | 0.518947 | − | 0.649379i | ||||
\(463\) | −14.4760 | + | 13.6574i | −0.672757 | + | 0.634713i | −0.944829 | − | 0.327564i | \(-0.893772\pi\) |
0.272073 | + | 0.962277i | \(0.412291\pi\) | |||||||
\(464\) | −1.79768 | − | 12.4449i | −0.0834550 | − | 0.577738i | ||||
\(465\) | −1.35286 | − | 42.6871i | −0.0627375 | − | 1.97957i | ||||
\(466\) | −0.328228 | − | 6.50575i | −0.0152049 | − | 0.301373i | ||||
\(467\) | −4.05064 | + | 4.82737i | −0.187441 | + | 0.223384i | −0.851579 | − | 0.524227i | \(-0.824355\pi\) |
0.664137 | + | 0.747610i | \(0.268799\pi\) | |||||||
\(468\) | −2.01791 | − | 0.758204i | −0.0932780 | − | 0.0350480i | ||||
\(469\) | −4.25057 | − | 5.06564i | −0.196273 | − | 0.233909i | ||||
\(470\) | 33.5450 | − | 31.1591i | 1.54732 | − | 1.43726i | ||||
\(471\) | −1.33625 | + | 6.55728i | −0.0615712 | + | 0.302144i | ||||
\(472\) | 11.3454 | + | 12.6012i | 0.522216 | + | 0.580019i | ||||
\(473\) | 5.47686 | − | 2.36249i | 0.251826 | − | 0.108627i | ||||
\(474\) | −21.0599 | + | 5.52633i | −0.967313 | + | 0.253833i | ||||
\(475\) | 33.7868 | − | 16.9684i | 1.55024 | − | 0.778562i | ||||
\(476\) | 8.91926 | + | 9.75309i | 0.408814 | + | 0.447032i | ||||
\(477\) | 28.3206 | − | 16.5473i | 1.29671 | − | 0.757650i | ||||
\(478\) | 1.48635 | + | 13.6343i | 0.0679840 | + | 0.623617i | ||||
\(479\) | 16.8995 | − | 17.9125i | 0.772160 | − | 0.818442i | −0.215261 | − | 0.976557i | \(-0.569060\pi\) |
0.987421 | + | 0.158115i | \(0.0505416\pi\) | |||||||
\(480\) | 7.32174 | + | 31.9093i | 0.334190 | + | 1.45646i | ||||
\(481\) | 3.05634 | − | 2.01019i | 0.139357 | − | 0.0916568i | ||||
\(482\) | −16.8818 | − | 9.92239i | −0.768947 | − | 0.451953i | ||||
\(483\) | 9.10800 | − | 9.15536i | 0.414428 | − | 0.416583i | ||||
\(484\) | 1.24186 | + | 7.74473i | 0.0564484 | + | 0.352033i | ||||
\(485\) | −43.3560 | −1.96869 | ||||||||
\(486\) | −20.5299 | − | 8.03271i | −0.931254 | − | 0.364371i | ||||
\(487\) | 15.7224i | 0.712450i | 0.934400 | + | 0.356225i | \(0.115936\pi\) | ||||
−0.934400 | + | 0.356225i | \(0.884064\pi\) | |||||||
\(488\) | −1.96348 | + | 24.0435i | −0.0888827 | + | 1.08840i | ||||
\(489\) | 5.42199 | + | 5.39394i | 0.245191 | + | 0.243922i | ||||
\(490\) | −13.9908 | − | 8.22314i | −0.632038 | − | 0.371484i | ||||
\(491\) | 15.7305 | + | 23.9170i | 0.709907 | + | 1.07936i | 0.992750 | + | 0.120195i | \(0.0383520\pi\) |
−0.282843 | + | 0.959166i | \(0.591278\pi\) | |||||||
\(492\) | 17.5207 | + | 12.6092i | 0.789893 | + | 0.568466i | ||||
\(493\) | −8.00175 | − | 7.54927i | −0.360381 | − | 0.340002i | ||||
\(494\) | 3.09778 | − | 0.337706i | 0.139376 | − | 0.0151941i | ||||
\(495\) | 19.1868 | − | 33.6341i | 0.862381 | − | 1.51174i | ||||
\(496\) | −28.5275 | + | 7.58326i | −1.28092 | + | 0.340498i | ||||
\(497\) | −6.69911 | − | 13.3390i | −0.300496 | − | 0.598337i | ||||
\(498\) | 8.12650 | − | 2.13248i | 0.364157 | − | 0.0955585i | ||||
\(499\) | −13.2276 | − | 30.6651i | −0.592150 | − | 1.37276i | −0.905997 | − | 0.423284i | \(-0.860877\pi\) |
0.313847 | − | 0.949474i | \(-0.398382\pi\) | |||||||
\(500\) | 6.43586 | + | 4.37767i | 0.287820 | + | 0.195775i | ||||
\(501\) | 17.7852 | + | 3.62430i | 0.794586 | + | 0.161922i | ||||
\(502\) | −14.0248 | − | 15.0987i | −0.625957 | − | 0.673888i | ||||
\(503\) | −16.0678 | + | 13.4825i | −0.716429 | + | 0.601155i | −0.926395 | − | 0.376553i | \(-0.877109\pi\) |
0.209966 | + | 0.977709i | \(0.432665\pi\) | |||||||
\(504\) | 6.93043 | + | 14.4465i | 0.308706 | + | 0.643497i | ||||
\(505\) | −21.8560 | − | 18.3393i | −0.972578 | − | 0.816090i | ||||
\(506\) | 1.08689 | + | 21.5431i | 0.0483181 | + | 0.957706i | ||||
\(507\) | 22.2819 | − | 0.706170i | 0.989574 | − | 0.0313621i | ||||
\(508\) | 23.4905 | − | 16.9272i | 1.04222 | − | 0.751024i | ||||
\(509\) | 5.28831 | + | 5.60528i | 0.234400 | + | 0.248450i | 0.833887 | − | 0.551935i | \(-0.186110\pi\) |
−0.599487 | + | 0.800384i | \(0.704629\pi\) | |||||||
\(510\) | 22.3755 | + | 17.8812i | 0.990804 | + | 0.791794i | ||||
\(511\) | −28.4059 | − | 12.2531i | −1.25660 | − | 0.542046i | ||||
\(512\) | 20.3384 | − | 9.91711i | 0.898839 | − | 0.438279i | ||||
\(513\) | 31.7242 | − | 3.02437i | 1.40066 | − | 0.133529i | ||||
\(514\) | 10.9353 | + | 37.5868i | 0.482336 | + | 1.65788i | ||||
\(515\) | 0.468605 | + | 4.00917i | 0.0206492 | + | 0.176665i | ||||
\(516\) | −0.224763 | + | 5.34419i | −0.00989463 | + | 0.235265i | ||||
\(517\) | 8.63124 | + | 36.4181i | 0.379602 | + | 1.60167i | ||||
\(518\) | −26.7403 | − | 4.92952i | −1.17490 | − | 0.216591i | ||||
\(519\) | 13.1019 | + | 4.30383i | 0.575111 | + | 0.188917i | ||||
\(520\) | 1.96360 | + | 2.77008i | 0.0861096 | + | 0.121476i | ||||
\(521\) | 24.9147 | + | 4.39314i | 1.09153 | + | 0.192467i | 0.690310 | − | 0.723513i | \(-0.257474\pi\) |
0.401223 | + | 0.915980i | \(0.368585\pi\) | |||||||
\(522\) | −6.63853 | − | 11.5672i | −0.290561 | − | 0.506281i | ||||
\(523\) | −0.0744076 | − | 0.421987i | −0.00325362 | − | 0.0184522i | 0.983138 | − | 0.182867i | \(-0.0585377\pi\) |
−0.986391 | + | 0.164414i | \(0.947427\pi\) | |||||||
\(524\) | 11.8802 | + | 7.10737i | 0.518988 | + | 0.310487i | ||||
\(525\) | 18.7574 | + | 7.39556i | 0.818638 | + | 0.322769i | ||||
\(526\) | 19.7773 | + | 23.9449i | 0.862329 | + | 1.04405i | ||||
\(527\) | −15.4217 | + | 20.7150i | −0.671781 | + | 0.902359i | ||||
\(528\) | −25.6432 | − | 7.66007i | −1.11598 | − | 0.333362i | ||||
\(529\) | 0.430809 | − | 7.39671i | 0.0187308 | − | 0.321596i | ||||
\(530\) | −51.5528 | − | 3.40465i | −2.23931 | − | 0.147888i | ||||
\(531\) | 16.1133 | + | 7.98805i | 0.699259 | + | 0.346652i | ||||
\(532\) | −18.3617 | − | 14.1184i | −0.796079 | − | 0.612110i | ||||
\(533\) | 2.17845 | + | 0.516301i | 0.0943589 | + | 0.0223635i | ||||
\(534\) | 0.996005 | − | 29.0571i | 0.0431014 | − | 1.25742i | ||||
\(535\) | 10.4406 | − | 0.608098i | 0.451388 | − | 0.0262904i | ||||
\(536\) | −4.65039 | + | 8.74539i | −0.200866 | + | 0.377743i | ||||
\(537\) | −1.64651 | + | 19.3989i | −0.0710522 | + | 0.837126i | ||||
\(538\) | 2.93901 | − | 23.5564i | 0.126710 | − | 1.01559i | ||||
\(539\) | 11.4889 | − | 6.63312i | 0.494862 | − | 0.285709i | ||||
\(540\) | 19.6959 | + | 28.5983i | 0.847576 | + | 1.23067i | ||||
\(541\) | −7.81139 | − | 4.50991i | −0.335838 | − | 0.193896i | 0.322592 | − | 0.946538i | \(-0.395446\pi\) |
−0.658430 | + | 0.752642i | \(0.728779\pi\) | |||||||
\(542\) | −22.1788 | + | 29.3131i | −0.952659 | + | 1.25910i | ||||
\(543\) | 32.3052 | − | 2.91077i | 1.38635 | − | 0.124913i | ||||
\(544\) | 8.54096 | − | 17.8593i | 0.366191 | − | 0.765710i | ||||
\(545\) | −9.26477 | + | 18.4477i | −0.396859 | + | 0.790212i | ||||
\(546\) | 1.23566 | + | 1.11116i | 0.0528816 | + | 0.0475533i | ||||
\(547\) | −5.73713 | − | 19.1633i | −0.245302 | − | 0.819366i | −0.988621 | − | 0.150428i | \(-0.951935\pi\) |
0.743319 | − | 0.668937i | \(-0.233251\pi\) | |||||||
\(548\) | −23.3108 | + | 9.62854i | −0.995787 | + | 0.411311i | ||||
\(549\) | 7.46542 | + | 24.4735i | 0.318616 | + | 1.04451i | ||||
\(550\) | −30.2119 | + | 14.8802i | −1.28824 | + | 0.634494i | ||||
\(551\) | 16.1075 | + | 10.5941i | 0.686202 | + | 0.451322i | ||||
\(552\) | −17.8252 | − | 7.51259i | −0.758692 | − | 0.319757i | ||||
\(553\) | 16.6712 | + | 1.94859i | 0.708932 | + | 0.0828623i | ||||
\(554\) | 3.77834 | + | 22.4463i | 0.160526 | + | 0.953652i | ||||
\(555\) | −58.9070 | − | 1.56115i | −2.50046 | − | 0.0662671i | ||||
\(556\) | −35.6210 | − | 0.553485i | −1.51067 | − | 0.0234730i | ||||
\(557\) | 32.6685 | + | 11.8904i | 1.38421 | + | 0.503811i | 0.923452 | − | 0.383714i | \(-0.125355\pi\) |
0.460758 | + | 0.887526i | \(0.347577\pi\) | |||||||
\(558\) | −25.1617 | + | 18.6314i | −1.06518 | + | 0.788730i | ||||
\(559\) | 0.189738 | + | 0.521301i | 0.00802507 | + | 0.0220487i | ||||
\(560\) | 3.70737 | − | 24.9643i | 0.156665 | − | 1.05494i | ||||
\(561\) | −21.7377 | + | 8.70118i | −0.917768 | + | 0.367364i | ||||
\(562\) | 17.6127 | − | 6.25600i | 0.742948 | − | 0.263893i | ||||
\(563\) | 5.15086 | + | 1.54207i | 0.217083 | + | 0.0649904i | 0.393498 | − | 0.919326i | \(-0.371265\pi\) |
−0.176415 | + | 0.984316i | \(0.556450\pi\) | |||||||
\(564\) | −32.7792 | − | 7.21195i | −1.38025 | − | 0.303678i | ||||
\(565\) | −6.61155 | + | 4.92212i | −0.278150 | + | 0.207075i | ||||
\(566\) | 4.86370 | − | 19.8337i | 0.204436 | − | 0.833671i | ||||
\(567\) | 12.4819 | + | 11.5337i | 0.524189 | + | 0.484369i | ||||
\(568\) | −14.7668 | + | 16.7878i | −0.619601 | + | 0.704402i | ||||
\(569\) | 5.05378 | − | 3.76240i | 0.211866 | − | 0.157728i | −0.485995 | − | 0.873961i | \(-0.661543\pi\) |
0.697861 | + | 0.716233i | \(0.254135\pi\) | |||||||
\(570\) | −44.0591 | − | 24.0516i | −1.84543 | − | 1.00741i | ||||
\(571\) | −0.905551 | + | 3.02475i | −0.0378961 | + | 0.126582i | −0.974845 | − | 0.222886i | \(-0.928452\pi\) |
0.936948 | + | 0.349468i | \(0.113638\pi\) | |||||||
\(572\) | −2.76158 | + | 0.279365i | −0.115467 | + | 0.0116808i | ||||
\(573\) | −28.4526 | − | 22.3777i | −1.18862 | − | 0.934843i | ||||
\(574\) | −9.03599 | − | 13.9738i | −0.377155 | − | 0.583255i | ||||
\(575\) | −22.8735 | + | 8.32529i | −0.953893 | + | 0.347189i | ||||
\(576\) | 16.1750 | − | 17.7304i | 0.673960 | − | 0.738768i | ||||
\(577\) | −14.7181 | − | 5.35696i | −0.612724 | − | 0.223013i | 0.0169706 | − | 0.999856i | \(-0.494598\pi\) |
−0.629695 | + | 0.776843i | \(0.716820\pi\) | |||||||
\(578\) | 1.49931 | + | 6.55252i | 0.0623631 | + | 0.272549i | ||||
\(579\) | 16.1618 | + | 9.91096i | 0.671660 | + | 0.411885i | ||||
\(580\) | −1.54713 | + | 20.9502i | −0.0642413 | + | 0.869908i | ||||
\(581\) | −6.43302 | − | 0.751912i | −0.266887 | − | 0.0311946i | ||||
\(582\) | 18.0952 | + | 26.1294i | 0.750071 | + | 1.08310i | ||||
\(583\) | 23.2084 | − | 35.2866i | 0.961192 | − | 1.46142i | ||||
\(584\) | −1.07982 | + | 46.3253i | −0.0446834 | + | 1.91695i | ||||
\(585\) | 3.01916 | + | 1.96338i | 0.124827 | + | 0.0811756i | ||||
\(586\) | −20.9062 | + | 15.3131i | −0.863627 | + | 0.632579i | ||||
\(587\) | 11.7213 | − | 3.50913i | 0.483790 | − | 0.144837i | −0.0356148 | − | 0.999366i | \(-0.511339\pi\) |
0.519405 | + | 0.854528i | \(0.326154\pi\) | |||||||
\(588\) | 0.883383 | + | 11.8639i | 0.0364301 | + | 0.489258i | ||||
\(589\) | 20.3121 | − | 40.4448i | 0.836947 | − | 1.66650i | ||||
\(590\) | −13.9731 | − | 24.6423i | −0.575265 | − | 1.01451i | ||||
\(591\) | −6.36703 | + | 4.48289i | −0.261904 | + | 0.184401i | ||||
\(592\) | 8.15676 | + | 39.9030i | 0.335241 | + | 1.64000i | ||||
\(593\) | −18.9800 | − | 10.9581i | −0.779414 | − | 0.449995i | 0.0568089 | − | 0.998385i | \(-0.481907\pi\) |
−0.836222 | + | 0.548390i | \(0.815241\pi\) | |||||||
\(594\) | −28.2782 | + | 2.47433i | −1.16027 | + | 0.101523i | ||||
\(595\) | −11.0403 | − | 19.1224i | −0.452608 | − | 0.783940i | ||||
\(596\) | −14.3140 | − | 5.46317i | −0.586323 | − | 0.223780i | ||||
\(597\) | −27.6779 | − | 19.2735i | −1.13278 | − | 0.788812i | ||||
\(598\) | −2.00615 | − | 0.0155850i | −0.0820375 | − | 0.000637317i | ||||
\(599\) | 0.0952808 | + | 1.63591i | 0.00389307 | + | 0.0668414i | 0.999695 | − | 0.0246915i | \(-0.00786036\pi\) |
−0.995802 | + | 0.0915329i | \(0.970823\pi\) | |||||||
\(600\) | −0.252977 | − | 30.1998i | −0.0103277 | − | 1.23290i | ||||
\(601\) | −16.3286 | − | 3.86996i | −0.666059 | − | 0.157859i | −0.116341 | − | 0.993209i | \(-0.537117\pi\) |
−0.549718 | + | 0.835351i | \(0.685265\pi\) | |||||||
\(602\) | 1.66259 | − | 3.77344i | 0.0677621 | − | 0.153794i | ||||
\(603\) | −1.16551 | + | 10.4409i | −0.0474634 | + | 0.425188i | ||||
\(604\) | −6.82193 | − | 2.15839i | −0.277580 | − | 0.0878238i | ||||
\(605\) | 0.761946 | − | 13.0821i | 0.0309775 | − | 0.531864i | ||||
\(606\) | −1.93071 | + | 20.8262i | −0.0784298 | + | 0.846005i | ||||
\(607\) | 5.28961 | + | 3.93797i | 0.214699 | + | 0.159837i | 0.699136 | − | 0.714989i | \(-0.253568\pi\) |
−0.484437 | + | 0.874826i | \(0.660976\pi\) | |||||||
\(608\) | −9.30577 | + | 33.4222i | −0.377399 | + | 1.35545i | ||||
\(609\) | 1.51646 | + | 10.1688i | 0.0614501 | + | 0.412062i | ||||
\(610\) | 11.8585 | − | 38.5187i | 0.480138 | − | 1.55957i | ||||
\(611\) | −3.42809 | + | 0.604464i | −0.138686 | + | 0.0244540i | ||||
\(612\) | 1.43779 | − | 20.9481i | 0.0581192 | − | 0.846776i | ||||
\(613\) | −4.48564 | − | 0.790939i | −0.181173 | − | 0.0319457i | 0.0823253 | − | 0.996606i | \(-0.473765\pi\) |
−0.263499 | + | 0.964660i | \(0.584876\pi\) | |||||||
\(614\) | −9.84850 | + | 19.2359i | −0.397453 | + | 0.776298i | ||||
\(615\) | −24.0448 | − | 26.8783i | −0.969581 | − | 1.08384i | ||||
\(616\) | 16.2573 | + | 12.7025i | 0.655027 | + | 0.511799i | ||||
\(617\) | 3.17167 | + | 13.3823i | 0.127686 | + | 0.538751i | 0.998858 | + | 0.0477731i | \(0.0152124\pi\) |
−0.871172 | + | 0.490978i | \(0.836639\pi\) | |||||||
\(618\) | 2.22064 | − | 1.95570i | 0.0893271 | − | 0.0786698i | ||||
\(619\) | −37.5255 | + | 4.38611i | −1.50828 | + | 0.176293i | −0.829689 | − | 0.558225i | \(-0.811483\pi\) |
−0.678589 | + | 0.734518i | \(0.737408\pi\) | |||||||
\(620\) | 49.2707 | − | 2.10221i | 1.97876 | − | 0.0844270i | ||||
\(621\) | −20.5124 | − | 0.437175i | −0.823135 | − | 0.0175432i | ||||
\(622\) | 28.3650 | + | 27.1806i | 1.13733 | + | 1.08984i | ||||
\(623\) | −8.87742 | + | 20.5802i | −0.355666 | + | 0.824527i | ||||
\(624\) | 0.849911 | − | 2.33954i | 0.0340237 | − | 0.0936564i | ||||
\(625\) | 12.2286 | + | 12.9616i | 0.489146 | + | 0.518464i | ||||
\(626\) | −16.2853 | + | 19.1047i | −0.650891 | + | 0.763576i | ||||
\(627\) | 34.8689 | − | 21.6325i | 1.39253 | − | 0.863917i | ||||
\(628\) | −7.58815 | − | 1.45990i | −0.302800 | − | 0.0582564i | ||||
\(629\) | 27.2962 | + | 22.9042i | 1.08837 | + | 0.913252i | ||||
\(630\) | −6.10609 | − | 26.0634i | −0.243273 | − | 1.03839i | ||||
\(631\) | 30.0636 | + | 35.8284i | 1.19681 | + | 1.42631i | 0.878115 | + | 0.478449i | \(0.158801\pi\) |
0.318697 | + | 0.947857i | \(0.396755\pi\) | |||||||
\(632\) | −6.64736 | − | 24.2465i | −0.264418 | − | 0.964473i | ||||
\(633\) | 6.78013 | − | 7.65867i | 0.269486 | − | 0.304405i | ||||
\(634\) | 12.0884 | − | 32.4266i | 0.480092 | − | 1.28783i | ||||
\(635\) | −44.4169 | + | 19.1596i | −1.76263 | + | 0.760324i | ||||
\(636\) | 19.4644 | + | 32.4904i | 0.771814 | + | 1.28833i | ||||
\(637\) | 0.553753 | + | 1.10261i | 0.0219405 | + | 0.0436871i | ||||
\(638\) | −14.2739 | − | 9.54776i | −0.565109 | − | 0.378000i | ||||
\(639\) | −7.99514 | + | 22.3261i | −0.316283 | + | 0.883206i | ||||
\(640\) | −36.7509 | + | 8.85769i | −1.45271 | + | 0.350131i | ||||
\(641\) | 4.20629 | + | 3.96843i | 0.166138 | + | 0.156744i | 0.764821 | − | 0.644243i | \(-0.222827\pi\) |
−0.598683 | + | 0.800986i | \(0.704309\pi\) | |||||||
\(642\) | −4.72403 | − | 6.03848i | −0.186443 | − | 0.238320i | ||||
\(643\) | 2.96448 | − | 1.94977i | 0.116908 | − | 0.0768914i | −0.489709 | − | 0.871886i | \(-0.662897\pi\) |
0.606616 | + | 0.794995i | \(0.292526\pi\) | |||||||
\(644\) | 10.6863 | + | 10.4005i | 0.421100 | + | 0.409838i | ||||
\(645\) | 2.29051 | − | 8.63782i | 0.0901886 | − | 0.340114i | ||||
\(646\) | 11.8054 | + | 27.9632i | 0.464475 | + | 1.10020i | ||||
\(647\) | 12.1790 | 0.478807 | 0.239403 | − | 0.970920i | \(-0.423048\pi\) | ||||
0.239403 | + | 0.970920i | \(0.423048\pi\) | |||||||
\(648\) | 9.01504 | − | 23.8061i | 0.354144 | − | 0.935191i | ||||
\(649\) | 23.1575 | 0.909013 | ||||||||
\(650\) | −1.21824 | − | 2.88563i | −0.0477834 | − | 0.113184i | ||||
\(651\) | 23.2972 | − | 6.30727i | 0.913090 | − | 0.247201i | ||||
\(652\) | −6.15940 | + | 6.32865i | −0.241221 | + | 0.247849i | ||||
\(653\) | −3.35363 | + | 2.20572i | −0.131238 | + | 0.0863163i | −0.613430 | − | 0.789749i | \(-0.710211\pi\) |
0.482193 | + | 0.876065i | \(0.339840\pi\) | |||||||
\(654\) | 14.9847 | − | 2.11578i | 0.585948 | − | 0.0827334i | ||||
\(655\) | −16.8232 | − | 15.8719i | −0.657338 | − | 0.620167i | ||||
\(656\) | −14.3373 | + | 20.3895i | −0.559776 | + | 0.796075i | ||||
\(657\) | 17.0492 | + | 46.0969i | 0.665151 | + | 1.79841i | ||||
\(658\) | 21.5062 | + | 14.3854i | 0.838398 | + | 0.560802i | ||||
\(659\) | −4.69181 | − | 9.34216i | −0.182767 | − | 0.363919i | 0.783528 | − | 0.621357i | \(-0.213418\pi\) |
−0.966295 | + | 0.257438i | \(0.917122\pi\) | |||||||
\(660\) | 39.0778 | + | 21.7280i | 1.52110 | + | 0.845763i | ||||
\(661\) | 4.99646 | − | 2.15526i | 0.194340 | − | 0.0838300i | −0.296686 | − | 0.954975i | \(-0.595881\pi\) |
0.491026 | + | 0.871145i | \(0.336622\pi\) | |||||||
\(662\) | −14.1374 | + | 37.9230i | −0.549466 | + | 1.47392i | ||||
\(663\) | −0.690348 | − | 2.06540i | −0.0268109 | − | 0.0802135i | ||||
\(664\) | 2.56505 | + | 9.35613i | 0.0995434 | + | 0.363088i | ||||
\(665\) | 24.8736 | + | 29.6432i | 0.964556 | + | 1.14951i | ||||
\(666\) | 23.6448 | + | 36.1532i | 0.916218 | + | 1.40091i | ||||
\(667\) | −9.50827 | − | 7.97839i | −0.368162 | − | 0.308924i | ||||
\(668\) | −3.95967 | + | 20.5813i | −0.153204 | + | 0.796313i | ||||
\(669\) | −38.9405 | − | 20.8664i | −1.50553 | − | 0.806741i | ||||
\(670\) | 10.7350 | − | 12.5935i | 0.414730 | − | 0.486530i | ||||
\(671\) | 22.6091 | + | 23.9643i | 0.872816 | + | 0.925130i | ||||
\(672\) | −16.5926 | + | 8.18489i | −0.640075 | + | 0.315739i | ||||
\(673\) | 3.32014 | − | 7.69695i | 0.127982 | − | 0.296696i | −0.842162 | − | 0.539224i | \(-0.818718\pi\) |
0.970144 | + | 0.242529i | \(0.0779768\pi\) | |||||||
\(674\) | −13.7230 | − | 13.1500i | −0.528590 | − | 0.506518i | ||||
\(675\) | −12.0580 | − | 29.6768i | −0.464111 | − | 1.14226i | ||||
\(676\) | 1.09732 | + | 25.7184i | 0.0422045 | + | 0.989171i | ||||
\(677\) | −31.7495 | + | 3.71098i | −1.22023 | + | 0.142625i | −0.701724 | − | 0.712449i | \(-0.747586\pi\) |
−0.518507 | + | 0.855073i | \(0.673512\pi\) | |||||||
\(678\) | 5.72585 | + | 1.93028i | 0.219900 | + | 0.0741321i | ||||
\(679\) | −5.65050 | − | 23.8413i | −0.216846 | − | 0.914947i | ||||
\(680\) | −20.3631 | + | 26.0617i | −0.780889 | + | 0.999422i | ||||
\(681\) | −20.8720 | + | 4.36618i | −0.799817 | + | 0.167313i | ||||
\(682\) | −18.3722 | + | 35.8843i | −0.703508 | + | 1.37408i | ||||
\(683\) | −40.0512 | − | 7.06211i | −1.53252 | − | 0.270224i | −0.657179 | − | 0.753734i | \(-0.728250\pi\) |
−0.875339 | + | 0.483510i | \(0.839362\pi\) | |||||||
\(684\) | 3.89346 | + | 36.5915i | 0.148870 | + | 1.39911i | ||||
\(685\) | 41.4962 | − | 7.31690i | 1.58549 | − | 0.279565i | ||||
\(686\) | 8.19875 | − | 26.6310i | 0.313030 | − | 1.01678i | ||||
\(687\) | −3.31190 | + | 2.63270i | −0.126357 | + | 0.100444i | ||||
\(688\) | −6.17342 | − | 0.191893i | −0.235359 | − | 0.00731587i | ||||
\(689\) | 3.15084 | + | 2.34572i | 0.120038 | + | 0.0893647i | ||||
\(690\) | 26.3764 | + | 18.6731i | 1.00413 | + | 0.710874i | ||||
\(691\) | −0.0634606 | + | 1.08958i | −0.00241416 | + | 0.0414495i | −0.999300 | − | 0.0374076i | \(-0.988090\pi\) |
0.996886 | + | 0.0788570i | \(0.0251271\pi\) | |||||||
\(692\) | −4.80355 | + | 15.1824i | −0.182604 | + | 0.577147i | ||||
\(693\) | 20.9959 | + | 6.16729i | 0.797568 | + | 0.234276i | ||||
\(694\) | 5.42825 | − | 12.3201i | 0.206054 | − | 0.467663i | ||||
\(695\) | 57.9143 | + | 13.7259i | 2.19681 | + | 0.520655i | ||||
\(696\) | 13.2718 | − | 7.81143i | 0.503066 | − | 0.296091i | ||||
\(697\) | 1.26798 | + | 21.7703i | 0.0480280 | + | 0.824609i | ||||
\(698\) | 39.5290 | + | 0.307085i | 1.49619 | + | 0.0116233i | ||||
\(699\) | 7.22178 | − | 3.39040i | 0.273153 | − | 0.128237i | ||||
\(700\) | −8.30180 | + | 21.7514i | −0.313778 | + | 0.822126i | ||||
\(701\) | 5.91154 | + | 10.2391i | 0.223276 | + | 0.386725i | 0.955801 | − | 0.294015i | \(-0.0949916\pi\) |
−0.732525 | + | 0.680740i | \(0.761658\pi\) | |||||||
\(702\) | −0.0768160 | − | 2.63901i | −0.00289923 | − | 0.0996029i | ||||
\(703\) | −54.0803 | − | 31.2233i | −2.03968 | − | 1.17761i | ||||
\(704\) | 8.52007 | − | 29.7053i | 0.321112 | − | 1.11956i | ||||
\(705\) | 50.8811 | + | 23.5658i | 1.91629 | + | 0.887541i | ||||
\(706\) | 0.729672 | + | 1.28681i | 0.0274616 | + | 0.0484298i | ||||
\(707\) | 7.23631 | − | 14.4087i | 0.272149 | − | 0.541894i | ||||
\(708\) | −9.01936 | + | 18.7060i | −0.338968 | + | 0.703016i | ||||
\(709\) | −13.6925 | + | 4.09927i | −0.514233 | + | 0.153951i | −0.533397 | − | 0.845865i | \(-0.679085\pi\) |
0.0191638 | + | 0.999816i | \(0.493900\pi\) | |||||||
\(710\) | 30.1345 | − | 22.0725i | 1.13093 | − | 0.828367i | ||||
\(711\) | −16.0347 | − | 21.3068i | −0.601348 | − | 0.799066i | ||||
\(712\) | 33.5628 | + | 0.782335i | 1.25782 | + | 0.0293192i | ||||
\(713\) | −16.0117 | + | 24.3447i | −0.599644 | + | 0.911714i | ||||
\(714\) | −6.91669 | + | 14.6347i | −0.258851 | + | 0.547689i | ||||
\(715\) | 4.60592 | + | 0.538355i | 0.172252 | + | 0.0201333i | ||||
\(716\) | −22.4195 | − | 1.65564i | −0.837855 | − | 0.0618742i | ||||
\(717\) | −14.7644 | + | 8.01038i | −0.551387 | + | 0.299153i | ||||
\(718\) | 3.88545 | + | 16.9808i | 0.145004 | + | 0.633717i | ||||
\(719\) | −45.7708 | − | 16.6592i | −1.70696 | − | 0.621284i | −0.710376 | − | 0.703823i | \(-0.751475\pi\) |
−0.996588 | + | 0.0825390i | \(0.973697\pi\) | |||||||
\(720\) | −32.7713 | + | 23.1034i | −1.22131 | + | 0.861012i | ||||
\(721\) | −2.14356 | + | 0.780193i | −0.0798304 | + | 0.0290559i | ||||
\(722\) | −14.2939 | − | 22.1050i | −0.531965 | − | 0.822663i | ||||
\(723\) | 3.41433 | − | 23.7385i | 0.126980 | − | 0.882846i | ||||
\(724\) | 3.76965 | + | 37.2637i | 0.140098 | + | 1.38490i | ||||
\(725\) | 5.55792 | − | 18.5647i | 0.206416 | − | 0.689477i | ||||
\(726\) | −8.20224 | + | 5.00080i | −0.304414 | + | 0.185597i | ||||
\(727\) | −1.20400 | + | 0.896348i | −0.0446540 | + | 0.0332437i | −0.619254 | − | 0.785191i | \(-0.712565\pi\) |
0.574600 | + | 0.818434i | \(0.305158\pi\) | |||||||
\(728\) | −1.26735 | + | 1.44080i | −0.0469709 | + | 0.0533995i | ||||
\(729\) | −0.420067 | − | 26.9967i | −0.0155581 | − | 0.999879i | ||||
\(730\) | 18.4380 | − | 75.1882i | 0.682421 | − | 2.78284i | ||||
\(731\) | −4.33441 | + | 3.22685i | −0.160314 | + | 0.119349i | ||||
\(732\) | −28.1635 | + | 8.92949i | −1.04095 | + | 0.330043i | ||||
\(733\) | 33.8317 | + | 10.1286i | 1.24960 | + | 0.374107i | 0.842212 | − | 0.539147i | \(-0.181253\pi\) |
0.407392 | + | 0.913253i | \(0.366438\pi\) | |||||||
\(734\) | 40.3482 | − | 14.3316i | 1.48928 | − | 0.528987i | ||||
\(735\) | 2.82961 | − | 19.6732i | 0.104372 | − | 0.725657i | ||||
\(736\) | 8.44872 | − | 20.6766i | 0.311424 | − | 0.762151i | ||||
\(737\) | 4.62668 | + | 12.7117i | 0.170426 | + | 0.468242i | ||||
\(738\) | −6.16334 | + | 25.7092i | −0.226876 | + | 0.946368i | ||||
\(739\) | 8.84127 | + | 3.21796i | 0.325231 | + | 0.118375i | 0.499476 | − | 0.866328i | \(-0.333526\pi\) |
−0.174244 | + | 0.984702i | \(0.555748\pi\) | |||||||
\(740\) | 1.05715 | − | 68.0356i | 0.0388616 | − | 2.50104i | ||||
\(741\) | 1.82000 | + | 3.35455i | 0.0668595 | + | 0.123233i | ||||
\(742\) | −4.84658 | − | 28.7925i | −0.177923 | − | 1.05701i | ||||
\(743\) | 34.0802 | + | 3.98341i | 1.25028 | + | 0.146137i | 0.715355 | − | 0.698761i | \(-0.246265\pi\) |
0.534927 | + | 0.844898i | \(0.320339\pi\) | |||||||
\(744\) | −21.8308 | − | 28.8167i | −0.800355 | − | 1.05647i | ||||
\(745\) | 21.3857 | + | 14.0656i | 0.783513 | + | 0.515325i | ||||
\(746\) | 37.1346 | − | 18.2898i | 1.35959 | − | 0.669639i | ||||
\(747\) | 6.18740 | + | 8.22176i | 0.226385 | + | 0.300818i | ||||
\(748\) | −10.3217 | − | 24.9890i | −0.377400 | − | 0.913687i | ||||
\(749\) | 1.69510 | + | 5.66203i | 0.0619376 | + | 0.206886i | ||||
\(750\) | −1.97601 | + | 9.32587i | −0.0721538 | + | 0.340533i | ||||
\(751\) | −4.10117 | + | 8.16611i | −0.149654 | + | 0.297985i | −0.955951 | − | 0.293525i | \(-0.905172\pi\) |
0.806298 | + | 0.591510i | \(0.201468\pi\) | |||||||
\(752\) | 7.91236 | − | 37.9392i | 0.288534 | − | 1.38350i | ||||
\(753\) | 10.6070 | − | 22.9017i | 0.386542 | − | 0.834585i | ||||
\(754\) | 0.963699 | − | 1.27370i | 0.0350959 | − | 0.0463852i | ||||
\(755\) | 10.3526 | + | 5.97707i | 0.376769 | + | 0.217528i | ||||
\(756\) | −13.1592 | + | 14.5579i | −0.478596 | + | 0.529465i | ||||
\(757\) | 23.9020 | − | 13.7998i | 0.868732 | − | 0.501563i | 0.00180534 | − | 0.999998i | \(-0.499425\pi\) |
0.866927 | + | 0.498436i | \(0.166092\pi\) | |||||||
\(758\) | 2.16822 | − | 17.3784i | 0.0787531 | − | 0.631211i | ||||
\(759\) | −23.9141 | + | 11.2269i | −0.868027 | + | 0.407511i | ||||
\(760\) | 27.2132 | − | 51.1764i | 0.987128 | − | 1.85636i | ||||
\(761\) | 38.8111 | − | 2.26049i | 1.40690 | − | 0.0819426i | 0.662192 | − | 0.749334i | \(-0.269626\pi\) |
0.744707 | + | 0.667391i | \(0.232589\pi\) | |||||||
\(762\) | 30.0849 | + | 18.7723i | 1.08986 | + | 0.680049i | ||||
\(763\) | −11.3518 | − | 2.69042i | −0.410962 | − | 0.0973999i | ||||
\(764\) | 25.4780 | − | 33.1354i | 0.921761 | − | 1.19880i | ||||
\(765\) | −9.88662 | + | 33.6579i | −0.357451 | + | 1.21691i | ||||
\(766\) | −25.8866 | − | 1.70960i | −0.935319 | − | 0.0617702i | ||||
\(767\) | −0.125233 | + | 2.15017i | −0.00452191 | + | 0.0776383i | ||||
\(768\) | 20.6768 | + | 18.4519i | 0.746109 | + | 0.665824i | ||||
\(769\) | 5.38065 | − | 7.22747i | 0.194031 | − | 0.260629i | −0.694451 | − | 0.719540i | \(-0.744353\pi\) |
0.888482 | + | 0.458911i | \(0.151760\pi\) | |||||||
\(770\) | −21.9502 | − | 26.5758i | −0.791030 | − | 0.957725i | ||||
\(771\) | −37.5300 | + | 29.8333i | −1.35161 | + | 1.07442i | ||||
\(772\) | −11.2390 | + | 18.7863i | −0.404500 | + | 0.676133i | ||||
\(773\) | 2.76737 | + | 15.6946i | 0.0995355 | + | 0.564494i | 0.993263 | + | 0.115883i | \(0.0369699\pi\) |
−0.893727 | + | 0.448611i | \(0.851919\pi\) | |||||||
\(774\) | −6.16175 | + | 2.22469i | −0.221479 | + | 0.0799649i | ||||
\(775\) | −44.8018 | − | 7.89977i | −1.60933 | − | 0.283768i | ||||
\(776\) | −29.9409 | + | 21.2239i | −1.07482 | + | 0.761895i | ||||
\(777\) | −6.81877 | − | 32.5963i | −0.244622 | − | 1.16939i | ||||
\(778\) | −7.43074 | − | 1.36984i | −0.266405 | − | 0.0491113i | ||||
\(779\) | −8.81351 | − | 37.1871i | −0.315777 | − | 1.33237i | ||||
\(780\) | −2.22877 | + | 3.51086i | −0.0798028 | + | 0.125709i | ||||
\(781\) | 3.54494 | + | 30.3289i | 0.126848 | + | 1.08525i | ||||
\(782\) | −5.45902 | − | 18.7637i | −0.195214 | − | 0.670989i | ||||
\(783\) | 10.0310 | − | 12.8912i | 0.358480 | − | 0.460693i | ||||
\(784\) | −13.6872 | + | 1.17011i | −0.488830 | + | 0.0417895i | ||||
\(785\) | 11.8541 | + | 5.11335i | 0.423090 | + | 0.182503i | ||||
\(786\) | −2.54414 | + | 16.7633i | −0.0907465 | + | 0.597926i | ||||
\(787\) | −13.1088 | − | 13.8945i | −0.467278 | − | 0.495285i | 0.450280 | − | 0.892887i | \(-0.351324\pi\) |
−0.917558 | + | 0.397602i | \(0.869843\pi\) | |||||||
\(788\) | −5.25665 | − | 7.29484i | −0.187261 | − | 0.259868i | ||||
\(789\) | −17.9651 | + | 33.5262i | −0.639575 | + | 1.19356i | ||||
\(790\) | 2.11644 | + | 41.9496i | 0.0752995 | + | 1.49250i | ||||
\(791\) | −3.56833 | − | 2.99419i | −0.126875 | − | 0.106461i | ||||
\(792\) | −3.21477 | − | 32.6196i | −0.114232 | − | 1.15909i | ||||
\(793\) | −2.34735 | + | 1.96966i | −0.0833567 | + | 0.0699446i | ||||
\(794\) | −18.4844 | − | 19.8998i | −0.655986 | − | 0.706216i | ||||
\(795\) | −20.0590 | − | 60.0131i | −0.711420 | − | 2.12844i | ||||
\(796\) | 21.9036 | − | 32.2016i | 0.776351 | − | 1.14136i | ||||
\(797\) | 5.31327 | + | 12.3175i | 0.188206 | + | 0.436310i | 0.986027 | − | 0.166584i | \(-0.0532736\pi\) |
−0.797822 | + | 0.602893i | \(0.794014\pi\) | |||||||
\(798\) | 7.48378 | − | 27.3626i | 0.264923 | − | 0.968626i | ||||
\(799\) | −15.2173 | − | 30.3002i | −0.538351 | − | 1.07194i | ||||
\(800\) | 34.8665 | − | 0.674240i | 1.23272 | − | 0.0238380i | ||||
\(801\) | 33.3973 | − | 12.3522i | 1.18004 | − | 0.436442i | ||||
\(802\) | 26.5891 | − | 2.89863i | 0.938895 | − | 0.102354i | ||||
\(803\) | 46.0320 | + | 43.4290i | 1.62443 | + | 1.53257i | ||||
\(804\) | −12.0702 | − | 1.21362i | −0.425682 | − | 0.0428011i | ||||
\(805\) | −13.6901 | − | 20.8147i | −0.482511 | − | 0.733623i | ||||
\(806\) | −3.23249 | − | 1.89991i | −0.113860 | − | 0.0669216i | ||||
\(807\) | 28.0639 | − | 7.59776i | 0.987897 | − | 0.267454i | ||||
\(808\) | −24.0710 | − | 1.96573i | −0.846814 | − | 0.0691541i | ||||
\(809\) | 8.14288i | 0.286288i | 0.989702 | + | 0.143144i | \(0.0457213\pi\) | ||||
−0.989702 | + | 0.143144i | \(0.954279\pi\) | |||||||
\(810\) | −23.2773 | + | 35.5929i | −0.817880 | + | 1.25061i | ||||
\(811\) | −10.1600 | −0.356767 | −0.178384 | − | 0.983961i | \(-0.557087\pi\) | ||||
−0.178384 | + | 0.983961i | \(0.557087\pi\) | |||||||
\(812\) | −11.7221 | + | 1.87963i | −0.411364 | + | 0.0659620i | ||||
\(813\) | −43.5153 | − | 11.5390i | −1.52615 | − | 0.404691i | ||||
\(814\) | 47.9541 | + | 28.1853i | 1.68079 | + | 0.987894i | ||||
\(815\) | 12.3269 | − | 8.10753i | 0.431792 | − | 0.283994i | ||||
\(816\) | 24.2055 | + | 1.39504i | 0.847362 | + | 0.0488362i | ||||
\(817\) | 6.49869 | − | 6.88821i | 0.227360 | − | 0.240988i | ||||
\(818\) | −5.44434 | − | 49.9409i | −0.190357 | − | 1.74614i | ||||
\(819\) | −0.686175 | + | 1.91611i | −0.0239769 | + | 0.0669543i | ||||
\(820\) | 30.7302 | − | 28.1030i | 1.07315 | − | 0.981400i | ||||
\(821\) | 36.8175 | − | 18.4905i | 1.28494 | − | 0.645321i | 0.330523 | − | 0.943798i | \(-0.392775\pi\) |
0.954417 | + | 0.298477i | \(0.0964785\pi\) | |||||||
\(822\) | −21.7287 | − | 21.9548i | −0.757877 | − | 0.765762i | ||||
\(823\) | 28.0636 | − | 12.1054i | 0.978235 | − | 0.421969i | 0.153909 | − | 0.988085i | \(-0.450814\pi\) |
0.824326 | + | 0.566116i | \(0.191555\pi\) | |||||||
\(824\) | 2.28621 | + | 2.53927i | 0.0796439 | + | 0.0884597i | ||||
\(825\) | −30.8831 | − | 27.3404i | −1.07521 | − | 0.951872i | ||||
\(826\) | 11.7297 | − | 10.8954i | 0.408127 | − | 0.379099i | ||||
\(827\) | 5.29035 | + | 6.30479i | 0.183963 | + | 0.219239i | 0.850142 | − | 0.526553i | \(-0.176516\pi\) |
−0.666179 | + | 0.745792i | \(0.732071\pi\) | |||||||
\(828\) | 0.245215 | − | 23.6898i | 0.00852180 | − | 0.823278i | ||||
\(829\) | −31.0711 | + | 37.0291i | −1.07914 | + | 1.28607i | −0.123245 | + | 0.992376i | \(0.539330\pi\) |
−0.955899 | + | 0.293697i | \(0.905114\pi\) | |||||||
\(830\) | −0.816682 | − | 16.1873i | −0.0283475 | − | 0.561871i | ||||
\(831\) | −23.6892 | + | 14.6966i | −0.821769 | + | 0.509821i | ||||
\(832\) | 2.71206 | + | 0.951730i | 0.0940237 | + | 0.0329953i | ||||
\(833\) | −8.74194 | + | 8.24760i | −0.302890 | + | 0.285762i | ||||
\(834\) | −15.8991 | − | 40.6320i | −0.550541 | − | 1.40697i | ||||
\(835\) | 13.8689 | − | 32.1517i | 0.479952 | − | 1.11265i | ||||
\(836\) | 25.4187 | + | 39.9869i | 0.879125 | + | 1.38298i | ||||
\(837\) | −32.7919 | − | 19.8759i | −1.13345 | − | 0.687011i | ||||
\(838\) | 15.4781 | + | 53.2013i | 0.534683 | + | 1.83781i | ||||
\(839\) | −34.1265 | + | 3.98881i | −1.17818 | + | 0.137709i | −0.682558 | − | 0.730831i | \(-0.739133\pi\) |
−0.495618 | + | 0.868540i | \(0.665058\pi\) | |||||||
\(840\) | 30.0163 | − | 7.38009i | 1.03566 | − | 0.254637i | ||||
\(841\) | −18.6030 | + | 4.40900i | −0.641484 | + | 0.152035i | ||||
\(842\) | −1.08713 | + | 5.89717i | −0.0374650 | + | 0.203230i | ||||
\(843\) | 15.2624 | + | 17.0610i | 0.525666 | + | 0.587611i | ||||
\(844\) | 8.92873 | + | 7.73164i | 0.307340 | + | 0.266134i | ||||
\(845\) | 7.46799 | − | 42.3531i | 0.256907 | − | 1.45699i | ||||
\(846\) | −7.03349 | − | 40.5002i | −0.241816 | − | 1.39242i | ||||
\(847\) | 7.29313 | − | 1.28597i | 0.250595 | − | 0.0441866i | ||||
\(848\) | −37.2682 | + | 22.8854i | −1.27979 | + | 0.785886i | ||||
\(849\) | 24.7373 | − | 3.68903i | 0.848983 | − | 0.126607i | ||||
\(850\) | 23.5237 | − | 19.4293i | 0.806856 | − | 0.666420i | ||||
\(851\) | 32.2485 | + | 24.0081i | 1.10546 | + | 0.822987i | ||||
\(852\) | −25.8795 | − | 8.94893i | −0.886619 | − | 0.306585i | ||||
\(853\) | −15.4933 | − | 0.902381i | −0.530480 | − | 0.0308969i | −0.209185 | − | 0.977876i | \(-0.567081\pi\) |
−0.321295 | + | 0.946979i | \(0.604118\pi\) | |||||||
\(854\) | 22.7268 | + | 1.50092i | 0.777696 | + | 0.0513605i | ||||
\(855\) | 6.82037 | − | 61.0984i | 0.233252 | − | 2.08952i | ||||
\(856\) | 6.91244 | − | 5.53092i | 0.236262 | − | 0.189043i | ||||
\(857\) | 1.42662 | − | 6.01936i | 0.0487323 | − | 0.205618i | −0.943232 | − | 0.332134i | \(-0.892231\pi\) |
0.991965 | + | 0.126516i | \(0.0403796\pi\) | |||||||
\(858\) | −1.59789 | − | 3.00055i | −0.0545512 | − | 0.102437i | ||||
\(859\) | −0.995709 | − | 17.0957i | −0.0339732 | − | 0.583297i | −0.971743 | − | 0.236040i | \(-0.924150\pi\) |
0.937770 | − | 0.347257i | \(-0.112887\pi\) | |||||||
\(860\) | 10.0025 | + | 2.53539i | 0.341082 | + | 0.0864560i | ||||
\(861\) | 11.6466 | − | 16.7252i | 0.396914 | − | 0.569993i | ||||
\(862\) | −0.769367 | + | 6.16652i | −0.0262047 | + | 0.210033i | ||||
\(863\) | 11.3745 | + | 19.7013i | 0.387194 | + | 0.670639i | 0.992071 | − | 0.125679i | \(-0.0401111\pi\) |
−0.604877 | + | 0.796319i | \(0.706778\pi\) | |||||||
\(864\) | 27.6013 | + | 10.1078i | 0.939016 | + | 0.343875i | ||||
\(865\) | 13.3021 | − | 23.0399i | 0.452285 | − | 0.783380i | ||||
\(866\) | 32.8246 | + | 24.8356i | 1.11542 | + | 0.843949i | ||||
\(867\) | −6.73146 | + | 4.73948i | −0.228612 | + | 0.160961i | ||||
\(868\) | 7.57737 | + | 26.8199i | 0.257193 | + | 0.910326i | ||||
\(869\) | −30.6839 | − | 15.4100i | −1.04088 | − | 0.522750i | ||||
\(870\) | −24.4641 | + | 7.96625i | −0.829411 | + | 0.270081i | ||||
\(871\) | −1.20530 | + | 0.360843i | −0.0408400 | + | 0.0122267i | ||||
\(872\) | 2.63256 | + | 17.2750i | 0.0891496 | + | 0.585006i | ||||
\(873\) | −21.2215 | + | 32.6332i | −0.718240 | + | 1.10447i | ||||
\(874\) | 15.1318 | + | 30.7227i | 0.511841 | + | 1.03921i | ||||
\(875\) | 4.03829 | − | 6.13993i | 0.136519 | − | 0.207567i | ||||
\(876\) | −53.0092 | + | 20.2688i | −1.79101 | + | 0.684819i | ||||
\(877\) | 4.77369 | − | 40.8416i | 0.161196 | − | 1.37912i | −0.634265 | − | 0.773116i | \(-0.718697\pi\) |
0.795461 | − | 0.606005i | \(-0.207229\pi\) | |||||||
\(878\) | 1.06504 | + | 6.32716i | 0.0359433 | + | 0.213531i | ||||
\(879\) | −27.0564 | − | 16.5919i | −0.912590 | − | 0.559632i | ||||
\(880\) | −24.5934 | + | 45.3953i | −0.829043 | + | 1.53028i | ||||
\(881\) | −17.1492 | + | 47.1171i | −0.577772 | + | 1.58742i | 0.214155 | + | 0.976800i | \(0.431300\pi\) |
−0.791927 | + | 0.610616i | \(0.790922\pi\) | |||||||
\(882\) | −13.0375 | + | 6.50556i | −0.438995 | + | 0.219054i | ||||
\(883\) | 6.32671 | − | 2.30274i | 0.212911 | − | 0.0774932i | −0.233363 | − | 0.972390i | \(-0.574973\pi\) |
0.446274 | + | 0.894897i | \(0.352751\pi\) | |||||||
\(884\) | 2.37604 | − | 0.823233i | 0.0799148 | − | 0.0276883i | ||||
\(885\) | 21.4484 | − | 27.2710i | 0.720980 | − | 0.916704i | ||||
\(886\) | −4.37628 | + | 1.55444i | −0.147024 | + | 0.0522225i | ||||
\(887\) | 5.49735 | − | 18.3624i | 0.184583 | − | 0.616550i | −0.814742 | − | 0.579823i | \(-0.803122\pi\) |
0.999325 | − | 0.0367268i | \(-0.0116931\pi\) | |||||||
\(888\) | −41.4444 | + | 27.7585i | −1.39078 | + | 0.931515i | ||||
\(889\) | −16.3246 | − | 21.9277i | −0.547508 | − | 0.735431i | ||||
\(890\) | −54.4740 | − | 13.3584i | −1.82597 | − | 0.447773i | ||||
\(891\) | −15.9243 | − | 30.9044i | −0.533485 | − | 1.03534i | ||||
\(892\) | 23.6002 | − | 45.2259i | 0.790194 | − | 1.51428i | ||||
\(893\) | 35.4843 | + | 47.6637i | 1.18744 | + | 1.59500i | ||||
\(894\) | −0.448680 | − | 18.7591i | −0.0150061 | − | 0.627397i | ||||
\(895\) | 35.9800 | + | 10.7717i | 1.20268 | + | 0.360058i | ||||
\(896\) | −9.66049 | − | 19.0548i | −0.322734 | − | 0.636577i | ||||
\(897\) | −0.913092 | − | 2.28113i | −0.0304873 | − | 0.0761648i | ||||
\(898\) | 25.4178 | − | 16.4361i | 0.848204 | − | 0.548480i | ||||
\(899\) | −7.93407 | − | 21.7987i | −0.264616 | − | 0.727026i | ||||
\(900\) | 34.1132 | − | 14.2980i | 1.13711 | − | 0.476601i | ||||
\(901\) | −13.0865 | + | 35.9549i | −0.435975 | + | 1.19783i | ||||
\(902\) | 7.59302 | + | 33.1842i | 0.252820 | + | 1.10491i | ||||
\(903\) | 5.04843 | + | 0.133793i | 0.168001 | + | 0.00445236i | ||||
\(904\) | −2.15631 | + | 6.63567i | −0.0717179 | + | 0.220699i | ||||
\(905\) | 7.26436 | − | 62.1505i | 0.241475 | − | 2.06595i | ||||
\(906\) | −0.718585 | − | 8.73383i | −0.0238734 | − | 0.290162i | ||||
\(907\) | 38.8231 | + | 25.5343i | 1.28910 | + | 0.847854i | 0.994187 | − | 0.107670i | \(-0.0343391\pi\) |
0.294912 | + | 0.955524i | \(0.404710\pi\) | |||||||
\(908\) | −5.30544 | − | 24.0442i | −0.176067 | − | 0.797935i | ||||
\(909\) | −24.5015 | + | 7.47396i | −0.812665 | + | 0.247895i | ||||
\(910\) | 2.58626 | − | 1.89435i | 0.0857337 | − | 0.0627971i | ||||
\(911\) | −8.95676 | − | 29.9177i | −0.296751 | − | 0.991216i | −0.968202 | − | 0.250168i | \(-0.919514\pi\) |
0.671452 | − | 0.741048i | \(-0.265671\pi\) | |||||||
\(912\) | −42.2004 | + | 4.95854i | −1.39740 | + | 0.164194i | ||||
\(913\) | 11.8402 | + | 5.94636i | 0.391853 | + | 0.196796i | ||||
\(914\) | 39.4316 | − | 22.3592i | 1.30428 | − | 0.739578i | ||||
\(915\) | 49.1614 | − | 4.42955i | 1.62523 | − | 0.146437i | ||||
\(916\) | −3.08171 | − | 3.79071i | −0.101822 | − | 0.125249i | ||||
\(917\) | 6.53538 | − | 11.3196i | 0.215817 | − | 0.373807i | ||||
\(918\) | 24.4110 | − | 8.08923i | 0.805684 | − | 0.266984i | ||||
\(919\) | −42.0596 | + | 24.2831i | −1.38742 | + | 0.801026i | −0.993024 | − | 0.117916i | \(-0.962379\pi\) |
−0.394394 | + | 0.918941i | \(0.629045\pi\) | |||||||
\(920\) | −21.2268 | + | 30.6913i | −0.699827 | + | 1.01186i | ||||
\(921\) | −26.3725 | − | 2.23840i | −0.869004 | − | 0.0737578i | ||||
\(922\) | −0.318737 | + | 41.0288i | −0.0104970 | + | 1.35121i | ||||
\(923\) | −2.83520 | + | 0.165132i | −0.0933218 | + | 0.00543538i | ||||
\(924\) | −6.85526 | + | 24.3205i | −0.225522 | + | 0.800087i | ||||
\(925\) | −14.4757 | + | 61.0776i | −0.475957 | + | 2.00822i | ||||
\(926\) | 11.3482 | − | 25.7561i | 0.372925 | − | 0.846398i | ||||
\(927\) | 3.24699 | + | 1.60967i | 0.106645 | + | 0.0528684i | ||||
\(928\) | 9.18726 | + | 15.2252i | 0.301587 | + | 0.499791i | ||||
\(929\) | −34.1877 | − | 1.99121i | −1.12166 | − | 0.0653294i | −0.512729 | − | 0.858550i | \(-0.671366\pi\) |
−0.608934 | + | 0.793221i | \(0.708403\pi\) | |||||||
\(930\) | 25.2421 | + | 54.8715i | 0.827720 | + | 1.79931i | ||||
\(931\) | 12.5777 | − | 16.8947i | 0.412217 | − | 0.553703i | ||||
\(932\) | 4.00604 | + | 8.29559i | 0.131222 | + | 0.271731i | ||||
\(933\) | −17.6483 | + | 44.7614i | −0.577779 | + | 1.46542i | ||||
\(934\) | 2.62221 | − | 8.51742i | 0.0858015 | − | 0.278698i | ||||
\(935\) | 7.84366 | + | 44.4836i | 0.256515 | + | 1.45477i | ||||
\(936\) | 3.04611 | − | 0.122088i | 0.0995651 | − | 0.00399056i | ||||
\(937\) | 8.68886 | − | 49.2770i | 0.283853 | − | 1.60981i | −0.425503 | − | 0.904957i | \(-0.639903\pi\) |
0.709355 | − | 0.704851i | \(-0.248986\pi\) | |||||||
\(938\) | 8.32422 | + | 4.26187i | 0.271795 | + | 0.139155i | ||||
\(939\) | −29.2101 | − | 9.59519i | −0.953236 | − | 0.313127i | ||||
\(940\) | −26.5660 | + | 59.0472i | −0.866487 | + | 1.92591i | ||||
\(941\) | −1.76349 | + | 0.417955i | −0.0574881 | + | 0.0136249i | −0.259259 | − | 0.965808i | \(-0.583478\pi\) |
0.201771 | + | 0.979433i | \(0.435330\pi\) | |||||||
\(942\) | −1.86579 | − | 9.27825i | −0.0607908 | − | 0.302302i | ||||
\(943\) | 2.85644 | + | 24.4384i | 0.0930186 | + | 0.795825i | ||||
\(944\) | −21.7127 | − | 10.1773i | −0.706689 | − | 0.331244i | ||||
\(945\) | 26.7090 | − | 19.0132i | 0.868845 | − | 0.618500i | ||||
\(946\) | −5.83616 | + | 6.09047i | −0.189750 | + | 0.198018i | ||||
\(947\) | 29.9229 | + | 12.9075i | 0.972362 | + | 0.419436i | 0.822183 | − | 0.569223i | \(-0.192756\pi\) |
0.150179 | + | 0.988659i | \(0.452015\pi\) | |||||||
\(948\) | 24.3985 | − | 18.7838i | 0.792428 | − | 0.610069i | ||||
\(949\) | −4.28131 | + | 4.03920i | −0.138977 | + | 0.131118i | ||||
\(950\) | −34.6864 | + | 40.6915i | −1.12538 | + | 1.32021i | ||||
\(951\) | 42.3630 | − | 1.34259i | 1.37371 | − | 0.0435365i | ||||
\(952\) | −16.9852 | − | 7.80104i | −0.550492 | − | 0.252833i | ||||
\(953\) | 18.1061 | − | 21.5781i | 0.586515 | − | 0.698982i | −0.388417 | − | 0.921484i | \(-0.626978\pi\) |
0.974932 | + | 0.222502i | \(0.0714223\pi\) | |||||||
\(954\) | −27.7963 | + | 37.1363i | −0.899938 | + | 1.20233i | ||||
\(955\) | −53.4940 | + | 44.8868i | −1.73102 | + | 1.45250i | ||||
\(956\) | −9.43587 | − | 16.9461i | −0.305178 | − | 0.548075i | ||||
\(957\) | 4.19967 | − | 20.6087i | 0.135756 | − | 0.666185i | ||||
\(958\) | −12.1653 | + | 32.6329i | −0.393044 | + | 1.05432i | ||||
\(959\) | 9.43167 | + | 21.8651i | 0.304565 | + | 0.706060i | ||||
\(960\) | −27.0906 | − | 37.5464i | −0.874344 | − | 1.21180i | ||||
\(961\) | −20.9626 | + | 10.5278i | −0.676214 | + | 0.339607i | ||||
\(962\) | −2.87633 | + | 4.30011i | −0.0927366 | + | 0.138641i | ||||
\(963\) | 4.65270 | − | 8.15610i | 0.149931 | − | 0.262827i | ||||
\(964\) | 27.4525 | + | 3.64191i | 0.884184 | + | 0.117298i | ||||
\(965\) | 25.0985 | − | 26.6028i | 0.807949 | − | 0.856375i | ||||
\(966\) | −6.83072 | + | 16.9379i | −0.219775 | + | 0.544969i | ||||
\(967\) | −10.2818 | − | 15.6327i | −0.330640 | − | 0.502713i | 0.631461 | − | 0.775408i | \(-0.282456\pi\) |
−0.962101 | + | 0.272694i | \(0.912085\pi\) | |||||||
\(968\) | −5.87787 | − | 9.40728i | −0.188922 | − | 0.302361i | ||||
\(969\) | −26.2182 | + | 26.3546i | −0.842252 | + | 0.846631i | ||||
\(970\) | 56.4870 | − | 23.8474i | 1.81369 | − | 0.765693i | ||||
\(971\) | − | 58.8221i | − | 1.88769i | −0.330388 | − | 0.943845i | \(-0.607180\pi\) | ||
0.330388 | − | 0.943845i | \(-0.392820\pi\) | |||||||
\(972\) | 31.1660 | − | 0.826636i | 0.999648 | − | 0.0265144i | ||||
\(973\) | 33.6358i | 1.07831i | ||||||||
\(974\) | −8.64790 | − | 20.4842i | −0.277097 | − | 0.656355i | ||||
\(975\) | 2.70557 | − | 2.71963i | 0.0866475 | − | 0.0870980i | ||||
\(976\) | −10.6666 | − | 32.4054i | −0.341431 | − | 1.03727i | ||||
\(977\) | 9.67437 | + | 14.7092i | 0.309511 | + | 0.470588i | 0.956426 | − | 0.291973i | \(-0.0943119\pi\) |
−0.646916 | + | 0.762561i | \(0.723941\pi\) | |||||||
\(978\) | −10.0310 | − | 4.04529i | −0.320755 | − | 0.129354i | ||||
\(979\) | 31.4644 | − | 33.3503i | 1.00561 | − | 1.06588i | ||||
\(980\) | 22.7511 | + | 3.01822i | 0.726758 | + | 0.0964134i | ||||
\(981\) | 9.35035 | + | 16.0030i | 0.298534 | + | 0.510937i | ||||
\(982\) | −33.6500 | − | 22.5084i | −1.07381 | − | 0.718270i | ||||
\(983\) | −47.8195 | + | 24.0159i | −1.52520 | + | 0.765987i | −0.996561 | − | 0.0828573i | \(-0.973595\pi\) |
−0.528643 | + | 0.848844i | \(0.677299\pi\) | |||||||
\(984\) | −29.7626 | − | 6.79107i | −0.948797 | − | 0.216491i | ||||
\(985\) | 5.94989 | + | 13.7934i | 0.189579 | + | 0.439494i | ||||
\(986\) | 14.5776 | + | 5.43442i | 0.464245 | + | 0.173067i | ||||
\(987\) | −6.32755 | + | 31.0507i | −0.201408 | + | 0.988355i | ||||
\(988\) | −3.85024 | + | 2.14388i | −0.122492 | + | 0.0682059i | ||||
\(989\) | −4.67049 | + | 3.91901i | −0.148513 | + | 0.124617i | ||||
\(990\) | −6.49779 | + | 54.3741i | −0.206513 | + | 1.72812i | ||||
\(991\) | 9.73171 | − | 11.5978i | 0.309138 | − | 0.368416i | −0.588998 | − | 0.808135i | \(-0.700477\pi\) |
0.898136 | + | 0.439718i | \(0.144922\pi\) | |||||||
\(992\) | 32.9964 | − | 25.5712i | 1.04764 | − | 0.811885i | ||||
\(993\) | −49.5435 | + | 1.57016i | −1.57222 | + | 0.0498275i | ||||
\(994\) | 16.0650 | + | 13.6942i | 0.509551 | + | 0.434354i | ||||
\(995\) | −47.3264 | + | 44.6501i | −1.50035 | + | 1.41550i | ||||
\(996\) | −9.41480 | + | 7.24821i | −0.298319 | + | 0.229668i | ||||
\(997\) | 4.03114 | + | 1.73886i | 0.127667 | + | 0.0550704i | 0.458955 | − | 0.888459i | \(-0.348224\pi\) |
−0.331288 | + | 0.943530i | \(0.607483\pi\) | |||||||
\(998\) | 34.1007 | + | 32.6768i | 1.07944 | + | 1.03437i | ||||
\(999\) | −30.0084 | + | 43.5740i | −0.949423 | + | 1.37862i |
(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 | 648.2.bb.b.155.15 | ✓ | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.155.28 | yes | 1872 | |
81.23 | odd | 54 | inner | 648.2.bb.b.347.28 | yes | 1872 | |
648.347 | even | 54 | inner | 648.2.bb.b.347.15 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.155.15 | ✓ | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.155.28 | yes | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.347.15 | yes | 1872 | 648.347 | even | 54 | inner | |
648.2.bb.b.347.28 | yes | 1872 | 81.23 | odd | 54 | inner |