Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(143,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.ba (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 143.16 | ||
Character | \(\chi\) | \(=\) | 567.143 |
Dual form | 567.2.ba.a.341.16 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.720590 | − | 0.858766i | 0.509534 | − | 0.607239i | −0.448539 | − | 0.893763i | \(-0.648055\pi\) |
0.958073 | + | 0.286524i | \(0.0924999\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.129068 | + | 0.731979i | 0.0645338 | + | 0.365990i | ||||
\(5\) | 3.14015 | − | 2.63490i | 1.40432 | − | 1.17836i | 0.445172 | − | 0.895445i | \(-0.353142\pi\) |
0.959144 | − | 0.282917i | \(-0.0913020\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.864922 | + | 2.50038i | 0.326910 | + | 0.945056i | ||||
\(8\) | 2.66330 | + | 1.53766i | 0.941619 | + | 0.543644i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 4.59533i | − | 1.45317i | ||||||
\(11\) | 0.647625 | − | 0.771809i | 0.195266 | − | 0.232709i | −0.659523 | − | 0.751684i | \(-0.729242\pi\) |
0.854789 | + | 0.518975i | \(0.173686\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.20956 | + | 3.32323i | −0.335471 | + | 0.921699i | 0.651191 | + | 0.758914i | \(0.274270\pi\) |
−0.986662 | + | 0.162785i | \(0.947952\pi\) | |||||||
\(14\) | 2.77050 | + | 1.05898i | 0.740446 | + | 0.283026i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.84274 | − | 0.670703i | 0.460686 | − | 0.167676i | ||||
\(17\) | −6.15187 | −1.49205 | −0.746024 | − | 0.665919i | \(-0.768039\pi\) | ||||
−0.746024 | + | 0.665919i | \(0.768039\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.40834i | 0.552512i | 0.961084 | + | 0.276256i | \(0.0890937\pi\) | ||||
−0.961084 | + | 0.276256i | \(0.910906\pi\) | |||||||
\(20\) | 2.33398 | + | 1.95844i | 0.521894 | + | 0.437921i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.196131 | − | 1.11232i | −0.0418153 | − | 0.237147i | ||||
\(23\) | 0.696226 | − | 1.91287i | 0.145173 | − | 0.398860i | −0.845700 | − | 0.533659i | \(-0.820817\pi\) |
0.990873 | + | 0.134799i | \(0.0430388\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.04961 | − | 11.6239i | 0.409921 | − | 2.32478i | ||||
\(26\) | 1.98228 | + | 3.43342i | 0.388758 | + | 0.673348i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.71859 | + | 0.955824i | −0.324784 | + | 0.180634i | ||||
\(29\) | −0.707925 | − | 1.94501i | −0.131458 | − | 0.361179i | 0.856447 | − | 0.516234i | \(-0.172667\pi\) |
−0.987906 | + | 0.155055i | \(0.950444\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.819437 | − | 0.144489i | 0.147175 | − | 0.0259510i | −0.0995751 | − | 0.995030i | \(-0.531748\pi\) |
0.246750 | + | 0.969079i | \(0.420637\pi\) | |||||||
\(32\) | −1.35175 | + | 3.71391i | −0.238959 | + | 0.656533i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.43298 | + | 5.28302i | −0.760249 | + | 0.906030i | ||||
\(35\) | 9.30423 | + | 5.57259i | 1.57270 | + | 0.941939i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.98418 | − | 3.43671i | 0.326198 | − | 0.564991i | −0.655556 | − | 0.755146i | \(-0.727566\pi\) |
0.981754 | + | 0.190155i | \(0.0608992\pi\) | |||||||
\(38\) | 2.06820 | + | 1.73543i | 0.335507 | + | 0.281524i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 12.4147 | − | 2.18905i | 1.96294 | − | 0.346119i | ||||
\(41\) | −9.37310 | − | 3.41153i | −1.46383 | − | 0.532791i | −0.517414 | − | 0.855735i | \(-0.673105\pi\) |
−0.946418 | + | 0.322944i | \(0.895327\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.78960 | − | 10.1493i | 0.272912 | − | 1.54776i | −0.472607 | − | 0.881273i | \(-0.656687\pi\) |
0.745518 | − | 0.666485i | \(-0.232202\pi\) | |||||||
\(44\) | 0.648535 | + | 0.374432i | 0.0977704 | + | 0.0564478i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.14101 | − | 1.97629i | −0.168233 | − | 0.291388i | ||||
\(47\) | 1.26362 | − | 7.16632i | 0.184317 | − | 1.04532i | −0.742512 | − | 0.669833i | \(-0.766366\pi\) |
0.926829 | − | 0.375483i | \(-0.122523\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.50382 | + | 4.32527i | −0.786260 | + | 0.617896i | ||||
\(50\) | −8.50528 | − | 10.1362i | −1.20283 | − | 1.43347i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.58865 | − | 0.456449i | −0.358981 | − | 0.0632981i | ||||
\(53\) | 3.60509 | + | 2.08140i | 0.495197 | + | 0.285902i | 0.726728 | − | 0.686925i | \(-0.241040\pi\) |
−0.231531 | + | 0.972828i | \(0.574373\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 4.13002i | − | 0.556892i | ||||||
\(56\) | −1.54118 | + | 7.98922i | −0.205949 | + | 1.06760i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.18043 | − | 0.793611i | −0.286304 | − | 0.104206i | ||||
\(59\) | −2.60824 | − | 0.949323i | −0.339564 | − | 0.123591i | 0.166609 | − | 0.986023i | \(-0.446718\pi\) |
−0.506173 | + | 0.862432i | \(0.668940\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.70113 | + | 0.652610i | 0.473882 | + | 0.0835581i | 0.405488 | − | 0.914100i | \(-0.367102\pi\) |
0.0683935 | + | 0.997658i | \(0.478213\pi\) | |||||||
\(62\) | 0.466396 | − | 0.807822i | 0.0592324 | − | 0.102593i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.17633 | + | 7.23361i | 0.522041 | + | 0.904201i | ||||
\(65\) | 4.95819 | + | 13.6225i | 0.614987 | + | 1.68966i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.49295 | + | 1.25274i | −0.182393 | + | 0.153046i | −0.729413 | − | 0.684074i | \(-0.760207\pi\) |
0.547020 | + | 0.837120i | \(0.315762\pi\) | |||||||
\(68\) | −0.794008 | − | 4.50304i | −0.0962876 | − | 0.546074i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 11.4901 | − | 3.97461i | 1.37333 | − | 0.475056i | ||||
\(71\) | −5.21039 | + | 3.00822i | −0.618360 | + | 0.357010i | −0.776230 | − | 0.630450i | \(-0.782871\pi\) |
0.157870 | + | 0.987460i | \(0.449537\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.29382 | + | 3.63374i | −0.736636 | + | 0.425297i | −0.820845 | − | 0.571151i | \(-0.806497\pi\) |
0.0842090 | + | 0.996448i | \(0.473164\pi\) | |||||||
\(74\) | −1.52154 | − | 4.18040i | −0.176876 | − | 0.485962i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.76286 | + | 0.310839i | −0.202214 | + | 0.0356557i | ||||
\(77\) | 2.48996 | + | 0.951754i | 0.283757 | + | 0.108462i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.62671 | + | 4.72137i | 0.633054 | + | 0.531196i | 0.901876 | − | 0.431994i | \(-0.142190\pi\) |
−0.268822 | + | 0.963190i | \(0.586634\pi\) | |||||||
\(80\) | 4.01925 | − | 6.96154i | 0.449366 | − | 0.778324i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −9.68386 | + | 5.59098i | −1.06940 | + | 0.617421i | ||||
\(83\) | 7.39595 | − | 2.69190i | 0.811811 | − | 0.295475i | 0.0974392 | − | 0.995241i | \(-0.468935\pi\) |
0.714372 | + | 0.699767i | \(0.246713\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −19.3178 | + | 16.2095i | −2.09531 | + | 1.75817i | ||||
\(86\) | −7.42633 | − | 8.85035i | −0.800802 | − | 0.954358i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.91160 | − | 1.05973i | 0.310377 | − | 0.112968i | ||||
\(89\) | −13.1252 | −1.39127 | −0.695633 | − | 0.718397i | \(-0.744876\pi\) | ||||
−0.695633 | + | 0.718397i | \(0.744876\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.35552 | − | 0.150018i | −0.980725 | − | 0.0157262i | ||||
\(92\) | 1.49004 | + | 0.262734i | 0.155347 | + | 0.0273919i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −5.24364 | − | 6.24913i | −0.540841 | − | 0.644549i | ||||
\(95\) | 6.34574 | + | 7.56255i | 0.651059 | + | 0.775902i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.98600 | − | 1.05549i | −0.607786 | − | 0.107169i | −0.138719 | − | 0.990332i | \(-0.544299\pi\) |
−0.469067 | + | 0.883163i | \(0.655410\pi\) | |||||||
\(98\) | −0.251602 | + | 7.84324i | −0.0254156 | + | 0.792287i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.77298 | 0.877298 | ||||||||
\(101\) | 3.53944 | − | 1.28825i | 0.352187 | − | 0.128186i | −0.159868 | − | 0.987138i | \(-0.551107\pi\) |
0.512055 | + | 0.858953i | \(0.328885\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.62314 | − | 6.70140i | −0.554065 | − | 0.660308i | 0.414215 | − | 0.910179i | \(-0.364056\pi\) |
−0.968279 | + | 0.249871i | \(0.919612\pi\) | |||||||
\(104\) | −8.33141 | + | 6.99088i | −0.816962 | + | 0.685512i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.38523 | − | 1.59609i | 0.425931 | − | 0.155026i | ||||
\(107\) | −1.78505 | + | 1.03060i | −0.172568 | + | 0.0996319i | −0.583796 | − | 0.811900i | \(-0.698433\pi\) |
0.411228 | + | 0.911532i | \(0.365100\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.225918 | + | 0.391301i | −0.0216390 | + | 0.0374798i | −0.876642 | − | 0.481143i | \(-0.840222\pi\) |
0.855003 | + | 0.518623i | \(0.173555\pi\) | |||||||
\(110\) | −3.54672 | − | 2.97605i | −0.338166 | − | 0.283755i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.27084 | + | 4.02745i | 0.309066 | + | 0.380559i | ||||
\(113\) | −5.67858 | + | 1.00129i | −0.534196 | + | 0.0941931i | −0.434237 | − | 0.900798i | \(-0.642982\pi\) |
−0.0999585 | + | 0.994992i | \(0.531871\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.85395 | − | 7.84117i | −0.266132 | − | 0.731193i | ||||
\(116\) | 1.33233 | − | 0.769224i | 0.123704 | − | 0.0714206i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.69472 | + | 1.55580i | −0.248069 | + | 0.143223i | ||||
\(119\) | −5.32089 | − | 15.3820i | −0.487765 | − | 1.41007i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.73386 | + | 9.83320i | 0.157624 | + | 0.893927i | ||||
\(122\) | 3.22744 | − | 2.70814i | 0.292199 | − | 0.245184i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.211526 | + | 0.581162i | 0.0189956 | + | 0.0521899i | ||||
\(125\) | −13.9438 | − | 24.1513i | −1.24717 | − | 2.16016i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.738713 | + | 1.27949i | −0.0655502 | + | 0.113536i | −0.896938 | − | 0.442157i | \(-0.854214\pi\) |
0.831388 | + | 0.555693i | \(0.187547\pi\) | |||||||
\(128\) | 1.43696 | + | 0.253374i | 0.127010 | + | 0.0223953i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 15.2714 | + | 5.55832i | 1.33939 | + | 0.487497i | ||||
\(131\) | 4.00000 | + | 1.45588i | 0.349481 | + | 0.127201i | 0.510795 | − | 0.859702i | \(-0.329351\pi\) |
−0.161314 | + | 0.986903i | \(0.551573\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.02178 | + | 2.08303i | −0.522154 | + | 0.180622i | ||||
\(134\) | 2.18481i | 0.188739i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −16.3843 | − | 9.45947i | −1.40494 | − | 0.811143i | ||||
\(137\) | −5.56639 | − | 0.981504i | −0.475568 | − | 0.0838556i | −0.0692738 | − | 0.997598i | \(-0.522068\pi\) |
−0.406295 | + | 0.913742i | \(0.633179\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.0379 | + | 11.9627i | 0.851405 | + | 1.01466i | 0.999669 | + | 0.0257167i | \(0.00818678\pi\) |
−0.148265 | + | 0.988948i | \(0.547369\pi\) | |||||||
\(140\) | −2.87814 | + | 7.52975i | −0.243247 | + | 0.636380i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.17120 | + | 6.64220i | −0.0982849 | + | 0.557401i | ||||
\(143\) | 1.78156 | + | 3.08575i | 0.148982 | + | 0.258044i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.34788 | − | 4.24230i | −0.610208 | − | 0.352304i | ||||
\(146\) | −1.41473 | + | 8.02335i | −0.117084 | + | 0.664017i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.77169 | + | 1.00881i | 0.227832 | + | 0.0829239i | ||||
\(149\) | 8.44056 | − | 1.48830i | 0.691478 | − | 0.121926i | 0.183144 | − | 0.983086i | \(-0.441373\pi\) |
0.508334 | + | 0.861160i | \(0.330262\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.0414 | + | 8.42577i | 0.817161 | + | 0.685679i | 0.952305 | − | 0.305146i | \(-0.0987054\pi\) |
−0.135144 | + | 0.990826i | \(0.543150\pi\) | |||||||
\(152\) | −3.70321 | + | 6.41414i | −0.300370 | + | 0.520256i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.61158 | − | 1.45247i | 0.210447 | − | 0.117043i | ||||
\(155\) | 2.19244 | − | 2.61285i | 0.176101 | − | 0.209869i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.83314 | + | 13.2789i | −0.385726 | + | 1.05977i | 0.583179 | + | 0.812344i | \(0.301809\pi\) |
−0.968906 | + | 0.247431i | \(0.920414\pi\) | |||||||
\(158\) | 8.10910 | − | 1.42985i | 0.645126 | − | 0.113753i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.54107 | + | 15.2240i | 0.438060 | + | 1.20356i | ||||
\(161\) | 5.38508 | + | 0.0863512i | 0.424404 | + | 0.00680543i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.36219 | + | 2.35938i | 0.106695 | + | 0.184801i | 0.914429 | − | 0.404745i | \(-0.132640\pi\) |
−0.807734 | + | 0.589546i | \(0.799307\pi\) | |||||||
\(164\) | 1.28740 | − | 7.30123i | 0.100529 | − | 0.570130i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.01773 | − | 8.29115i | 0.234221 | − | 0.643518i | ||||
\(167\) | 3.82643 | + | 21.7008i | 0.296098 | + | 1.67926i | 0.662706 | + | 0.748880i | \(0.269408\pi\) |
−0.366608 | + | 0.930376i | \(0.619481\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.377731 | + | 0.316954i | 0.0290562 | + | 0.0243811i | ||||
\(170\) | 28.2699i | 2.16820i | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.66008 | 0.584075 | ||||||||
\(173\) | −10.4176 | + | 3.79171i | −0.792038 | + | 0.288278i | −0.706183 | − | 0.708029i | \(-0.749585\pi\) |
−0.0858553 | + | 0.996308i | \(0.527362\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 30.8369 | − | 4.92897i | 2.33105 | − | 0.372595i | ||||
\(176\) | 0.675750 | − | 1.85661i | 0.0509366 | − | 0.139947i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.45787 | + | 11.2715i | −0.708897 | + | 0.844831i | ||||
\(179\) | 12.6666i | 0.946743i | 0.880863 | + | 0.473372i | \(0.156963\pi\) | ||||
−0.880863 | + | 0.473372i | \(0.843037\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.39406 | + | 0.804863i | 0.103620 | + | 0.0598250i | 0.550914 | − | 0.834562i | \(-0.314279\pi\) |
−0.447294 | + | 0.894387i | \(0.647612\pi\) | |||||||
\(182\) | −6.87033 | + | 7.92610i | −0.509263 | + | 0.587522i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.79559 | − | 4.02398i | 0.353536 | − | 0.296652i | ||||
\(185\) | −2.82474 | − | 16.0199i | −0.207679 | − | 1.17780i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.98410 | + | 4.74807i | −0.291346 | + | 0.347213i | ||||
\(188\) | 5.40869 | 0.394469 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 11.0671 | 0.802894 | ||||||||
\(191\) | 8.34977 | − | 9.95086i | 0.604168 | − | 0.720019i | −0.374094 | − | 0.927391i | \(-0.622046\pi\) |
0.978262 | + | 0.207371i | \(0.0664908\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.43784 | − | 13.8257i | −0.175480 | − | 0.995194i | −0.937589 | − | 0.347746i | \(-0.886947\pi\) |
0.762109 | − | 0.647448i | \(-0.224164\pi\) | |||||||
\(194\) | −5.21987 | + | 4.37999i | −0.374765 | + | 0.314465i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.87637 | − | 3.47043i | −0.276884 | − | 0.247888i | ||||
\(197\) | 15.2141 | + | 8.78387i | 1.08396 | + | 0.625825i | 0.931962 | − | 0.362556i | \(-0.118096\pi\) |
0.151998 | + | 0.988381i | \(0.451429\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 22.2758i | − | 1.57909i | −0.613692 | − | 0.789546i | \(-0.710316\pi\) | ||
0.613692 | − | 0.789546i | \(-0.289684\pi\) | |||||||
\(200\) | 23.3323 | − | 27.8063i | 1.64984 | − | 1.96620i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.44418 | − | 3.96785i | 0.101612 | − | 0.279177i | ||||
\(203\) | 4.25096 | − | 3.45236i | 0.298359 | − | 0.242308i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −38.4219 | + | 13.9844i | −2.68350 | + | 0.976716i | ||||
\(206\) | −9.80691 | −0.683280 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 6.93512i | 0.480864i | ||||||||
\(209\) | 1.85878 | + | 1.55970i | 0.128575 | + | 0.107887i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.52016 | − | 19.9638i | −0.242338 | − | 1.37437i | −0.826595 | − | 0.562798i | \(-0.809725\pi\) |
0.584257 | − | 0.811569i | \(-0.301386\pi\) | |||||||
\(212\) | −1.05824 | + | 2.90749i | −0.0726803 | + | 0.199688i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.401247 | + | 2.27558i | −0.0274287 | + | 0.155556i | ||||
\(215\) | −21.1228 | − | 36.5858i | −1.44056 | − | 2.49513i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.07003 | + | 1.92393i | 0.0726381 | + | 0.130605i | ||||
\(218\) | 0.173242 | + | 0.475978i | 0.0117334 | + | 0.0322373i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.02309 | − | 0.533052i | 0.203816 | − | 0.0359383i | ||||
\(221\) | 7.44104 | − | 20.4441i | 0.500539 | − | 1.37522i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 15.6660 | − | 18.6700i | 1.04907 | − | 1.25024i | 0.0817602 | − | 0.996652i | \(-0.473946\pi\) |
0.967313 | − | 0.253585i | \(-0.0816097\pi\) | |||||||
\(224\) | −10.4554 | − | 0.167655i | −0.698578 | − | 0.0112019i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.23206 | + | 5.59809i | −0.214993 | + | 0.372379i | ||||
\(227\) | −0.986418 | − | 0.827703i | −0.0654709 | − | 0.0549366i | 0.609465 | − | 0.792813i | \(-0.291384\pi\) |
−0.674936 | + | 0.737876i | \(0.735829\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.785032 | + | 0.138422i | −0.0518764 | + | 0.00914720i | −0.199526 | − | 0.979893i | \(-0.563940\pi\) |
0.147650 | + | 0.989040i | \(0.452829\pi\) | |||||||
\(230\) | −8.79026 | − | 3.19939i | −0.579612 | − | 0.210962i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.10534 | − | 6.26868i | 0.0725690 | − | 0.411559i | ||||
\(233\) | −11.6293 | − | 6.71420i | −0.761863 | − | 0.439862i | 0.0681010 | − | 0.997678i | \(-0.478306\pi\) |
−0.829964 | + | 0.557816i | \(0.811639\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −14.9146 | − | 25.8328i | −0.972920 | − | 1.68515i | ||||
\(236\) | 0.358245 | − | 2.03171i | 0.0233197 | − | 0.132253i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −17.0437 | − | 6.51474i | −1.10478 | − | 0.422288i | ||||
\(239\) | 11.8688 | + | 14.1447i | 0.767728 | + | 0.914942i | 0.998310 | − | 0.0581107i | \(-0.0185076\pi\) |
−0.230583 | + | 0.973053i | \(0.574063\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.4746 | + | 2.37594i | 0.867975 | + | 0.153047i | 0.589865 | − | 0.807502i | \(-0.299181\pi\) |
0.278110 | + | 0.960549i | \(0.410292\pi\) | |||||||
\(242\) | 9.69382 | + | 5.59673i | 0.623142 | + | 0.359771i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.79338i | 0.178828i | ||||||||
\(245\) | −5.88616 | + | 28.0840i | −0.376053 | + | 1.79422i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.00348 | − | 2.91303i | −0.509250 | − | 0.185352i | ||||
\(248\) | 2.40458 | + | 0.875196i | 0.152691 | + | 0.0555750i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −30.7880 | − | 5.42876i | −1.94721 | − | 0.343345i | ||||
\(251\) | −2.59174 | + | 4.48902i | −0.163589 | + | 0.283345i | −0.936153 | − | 0.351592i | \(-0.885640\pi\) |
0.772564 | + | 0.634937i | \(0.218974\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.02547 | − | 1.77617i | −0.0644710 | − | 0.111667i | ||||
\(254\) | 0.566472 | + | 1.55637i | 0.0355436 | + | 0.0976552i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −11.5440 | + | 9.68654i | −0.721498 | + | 0.605408i | ||||
\(257\) | 2.27199 | + | 12.8851i | 0.141723 | + | 0.803751i | 0.969940 | + | 0.243344i | \(0.0782443\pi\) |
−0.828217 | + | 0.560407i | \(0.810645\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.3092 | + | 1.98873i | 0.640585 | + | 0.123574i | ||||
\(260\) | −9.33145 | + | 5.38751i | −0.578712 | + | 0.334119i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 4.13262 | − | 2.38597i | 0.255314 | − | 0.147406i | ||||
\(263\) | 4.81760 | + | 13.2362i | 0.297066 | + | 0.816182i | 0.994987 | + | 0.100007i | \(0.0318865\pi\) |
−0.697921 | + | 0.716175i | \(0.745891\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 16.8048 | − | 2.96314i | 1.03231 | − | 0.182024i | ||||
\(266\) | −2.55040 | + | 6.67231i | −0.156375 | + | 0.409105i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.10967 | − | 0.931123i | −0.0677838 | − | 0.0568774i | ||||
\(269\) | 7.46330 | − | 12.9268i | 0.455045 | − | 0.788161i | −0.543646 | − | 0.839315i | \(-0.682956\pi\) |
0.998691 | + | 0.0511535i | \(0.0162898\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.04155 | − | 4.64279i | 0.488489 | − | 0.282029i | −0.235458 | − | 0.971884i | \(-0.575659\pi\) |
0.723948 | + | 0.689855i | \(0.242326\pi\) | |||||||
\(272\) | −11.3363 | + | 4.12608i | −0.687365 | + | 0.250180i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.85396 | + | 4.07296i | −0.293239 | + | 0.246057i | ||||
\(275\) | −7.64405 | − | 9.10982i | −0.460953 | − | 0.549343i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 22.9314 | − | 8.34633i | 1.37781 | − | 0.501483i | 0.456298 | − | 0.889827i | \(-0.349175\pi\) |
0.921514 | + | 0.388344i | \(0.126953\pi\) | |||||||
\(278\) | 17.5064 | 1.04996 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 16.2112 | + | 29.1482i | 0.968807 | + | 1.74194i | ||||
\(281\) | −0.562949 | − | 0.0992630i | −0.0335827 | − | 0.00592154i | 0.156832 | − | 0.987625i | \(-0.449872\pi\) |
−0.190414 | + | 0.981704i | \(0.560983\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.9788 | − | 17.8510i | −0.890396 | − | 1.06113i | −0.997759 | − | 0.0669124i | \(-0.978685\pi\) |
0.107363 | − | 0.994220i | \(-0.465759\pi\) | |||||||
\(284\) | −2.87445 | − | 3.42564i | −0.170567 | − | 0.203274i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.93372 | + | 0.693620i | 0.232606 | + | 0.0410146i | ||||
\(287\) | 0.423123 | − | 26.3870i | 0.0249762 | − | 1.55758i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 20.8455 | 1.22621 | ||||||||
\(290\) | −8.93796 | + | 3.25315i | −0.524855 | + | 0.191032i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.47215 | − | 4.13795i | −0.203192 | − | 0.242155i | ||||
\(293\) | −12.0512 | + | 10.1122i | −0.704041 | + | 0.590760i | −0.922920 | − | 0.384992i | \(-0.874204\pi\) |
0.218879 | + | 0.975752i | \(0.429760\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.6916 | + | 3.89144i | −0.622491 | + | 0.226568i | ||||
\(296\) | 10.5689 | − | 6.10199i | 0.614308 | − | 0.354671i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 4.80409 | − | 8.32092i | 0.278293 | − | 0.482018i | ||||
\(299\) | 5.51477 | + | 4.62745i | 0.318928 | + | 0.267612i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 26.9251 | − | 4.30370i | 1.55194 | − | 0.248061i | ||||
\(302\) | 14.4715 | − | 2.55172i | 0.832743 | − | 0.146835i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.61528 | + | 4.43796i | 0.0926429 | + | 0.254534i | ||||
\(305\) | 13.3417 | − | 7.70281i | 0.763942 | − | 0.441062i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −30.0731 | + | 17.3627i | −1.71636 | + | 0.990942i | −0.791034 | + | 0.611772i | \(0.790457\pi\) |
−0.925327 | + | 0.379170i | \(0.876210\pi\) | |||||||
\(308\) | −0.375291 | + | 1.94544i | −0.0213842 | + | 0.110852i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.663974 | − | 3.76559i | −0.0377112 | − | 0.213871i | ||||
\(311\) | −7.47602 | + | 6.27313i | −0.423926 | + | 0.355716i | −0.829654 | − | 0.558277i | \(-0.811462\pi\) |
0.405728 | + | 0.913994i | \(0.367018\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.37179 | − | 9.26391i | −0.190585 | − | 0.523627i | 0.807191 | − | 0.590291i | \(-0.200987\pi\) |
−0.997776 | + | 0.0666635i | \(0.978765\pi\) | |||||||
\(314\) | 7.92079 | + | 13.7192i | 0.446996 | + | 0.774220i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.72972 | + | 4.72801i | −0.153559 | + | 0.265971i | ||||
\(317\) | −11.1490 | − | 1.96588i | −0.626193 | − | 0.110415i | −0.148458 | − | 0.988919i | \(-0.547431\pi\) |
−0.477735 | + | 0.878504i | \(0.658542\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.95964 | − | 0.713252i | −0.109719 | − | 0.0399344i | ||||
\(320\) | 32.1741 | + | 11.7104i | 1.79859 | + | 0.654632i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.95459 | − | 4.56230i | 0.220381 | − | 0.254247i | ||||
\(323\) | − | 14.8158i | − | 0.824374i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 36.1498 | + | 20.8711i | 2.00523 | + | 1.15772i | ||||
\(326\) | 3.00774 | + | 0.530345i | 0.166583 | + | 0.0293731i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −19.7176 | − | 23.4985i | −1.08872 | − | 1.29749i | ||||
\(329\) | 19.0115 | − | 3.03879i | 1.04814 | − | 0.167534i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.717814 | + | 4.07092i | −0.0394546 | + | 0.223758i | −0.998159 | − | 0.0606449i | \(-0.980684\pi\) |
0.958705 | + | 0.284403i | \(0.0917954\pi\) | |||||||
\(332\) | 2.92500 | + | 5.06624i | 0.160530 | + | 0.278046i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 21.3932 | + | 12.3513i | 1.17058 | + | 0.675836i | ||||
\(335\) | −1.38726 | + | 7.86756i | −0.0757942 | + | 0.429851i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.3670 | − | 4.86521i | −0.728149 | − | 0.265025i | −0.0487681 | − | 0.998810i | \(-0.515530\pi\) |
−0.679381 | + | 0.733785i | \(0.737752\pi\) | |||||||
\(338\) | 0.544378 | − | 0.0959885i | 0.0296103 | − | 0.00522109i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −14.3583 | − | 12.0481i | −0.778691 | − | 0.653399i | ||||
\(341\) | 0.419170 | − | 0.726023i | 0.0226993 | − | 0.0393164i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.5752 | − | 10.0206i | −0.840982 | − | 0.541063i | ||||
\(344\) | 20.3724 | − | 24.2789i | 1.09841 | − | 1.30903i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.25066 | + | 11.6786i | −0.228517 | + | 0.627844i | ||||
\(347\) | −7.87722 | + | 1.38897i | −0.422871 | + | 0.0745636i | −0.381034 | − | 0.924561i | \(-0.624432\pi\) |
−0.0418368 | + | 0.999124i | \(0.513321\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.85476 | + | 13.3383i | 0.259869 | + | 0.713985i | 0.999175 | + | 0.0406147i | \(0.0129316\pi\) |
−0.739306 | + | 0.673370i | \(0.764846\pi\) | |||||||
\(350\) | 17.9879 | − | 30.0335i | 0.961496 | − | 1.60536i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.99100 | + | 3.44852i | 0.106121 | + | 0.183807i | ||||
\(353\) | 2.76866 | − | 15.7018i | 0.147361 | − | 0.835724i | −0.818081 | − | 0.575103i | \(-0.804962\pi\) |
0.965441 | − | 0.260620i | \(-0.0839271\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.43505 | + | 23.1751i | −0.447686 | + | 1.23001i | ||||
\(356\) | −1.69404 | − | 9.60735i | −0.0897837 | − | 0.509189i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 10.8776 | + | 9.12740i | 0.574900 | + | 0.482398i | ||||
\(359\) | 14.6420i | 0.772774i | 0.922337 | + | 0.386387i | \(0.126277\pi\) | ||||
−0.922337 | + | 0.386387i | \(0.873723\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 13.1999 | 0.694731 | ||||||||
\(362\) | 1.69574 | − | 0.617198i | 0.0891260 | − | 0.0324392i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.09769 | − | 6.86741i | −0.0575344 | − | 0.359950i | ||||
\(365\) | −10.1890 | + | 27.9940i | −0.533317 | + | 1.46528i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.22653 | − | 7.42049i | 0.325022 | − | 0.387346i | −0.578647 | − | 0.815578i | \(-0.696419\pi\) |
0.903669 | + | 0.428232i | \(0.140863\pi\) | |||||||
\(368\) | − | 3.99188i | − | 0.208091i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −15.7928 | − | 9.11798i | −0.821029 | − | 0.474021i | ||||
\(371\) | −2.08617 | + | 10.8144i | −0.108309 | + | 0.561453i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.0135 | − | 8.40236i | 0.518482 | − | 0.435058i | −0.345620 | − | 0.938374i | \(-0.612332\pi\) |
0.864102 | + | 0.503317i | \(0.167887\pi\) | |||||||
\(374\) | 1.20657 | + | 6.84282i | 0.0623905 | + | 0.353834i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 14.3847 | − | 17.1431i | 0.741836 | − | 0.884086i | ||||
\(377\) | 7.31999 | 0.376999 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.86445 | 0.301236 | 0.150618 | − | 0.988592i | \(-0.451874\pi\) | ||||
0.150618 | + | 0.988592i | \(0.451874\pi\) | |||||||
\(380\) | −4.71660 | + | 5.62103i | −0.241957 | + | 0.288353i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.52870 | − | 14.3410i | −0.129380 | − | 0.733749i | ||||
\(383\) | 22.2042 | − | 18.6316i | 1.13458 | − | 0.952029i | 0.135336 | − | 0.990800i | \(-0.456789\pi\) |
0.999248 | + | 0.0387708i | \(0.0123442\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 10.3266 | − | 3.57214i | 0.526293 | − | 0.182053i | ||||
\(386\) | −13.6297 | − | 7.86911i | −0.693733 | − | 0.400527i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | − | 4.51786i | − | 0.229359i | ||||||
\(389\) | −23.6671 | + | 28.2053i | −1.19997 | + | 1.43007i | −0.325115 | + | 0.945674i | \(0.605403\pi\) |
−0.874852 | + | 0.484391i | \(0.839041\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.28309 | + | 11.7677i | −0.216605 | + | 0.595118i | ||||
\(392\) | −21.3091 | + | 3.05651i | −1.07627 | + | 0.154377i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 18.5064 | − | 6.73579i | 0.932340 | − | 0.339344i | ||||
\(395\) | 30.1090 | 1.51495 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 34.8763i | 1.75039i | 0.483770 | + | 0.875195i | \(0.339267\pi\) | ||||
−0.483770 | + | 0.875195i | \(0.660733\pi\) | |||||||
\(398\) | −19.1297 | − | 16.0517i | −0.958886 | − | 0.804601i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.01929 | − | 22.7945i | −0.200964 | − | 1.13973i | ||||
\(401\) | 12.5163 | − | 34.3882i | 0.625034 | − | 1.71727i | −0.0692825 | − | 0.997597i | \(-0.522071\pi\) |
0.694316 | − | 0.719670i | \(-0.255707\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.510986 | + | 2.89795i | −0.0254540 | + | 0.144357i | ||||
\(404\) | 1.39980 | + | 2.42452i | 0.0696426 | + | 0.120624i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.0984296 | − | 6.13832i | 0.00488498 | − | 0.304640i | ||||
\(407\) | −1.36747 | − | 3.75710i | −0.0677832 | − | 0.186233i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 37.3852 | − | 6.59202i | 1.84858 | − | 0.325955i | 0.864356 | − | 0.502881i | \(-0.167726\pi\) |
0.984224 | + | 0.176926i | \(0.0566154\pi\) | |||||||
\(410\) | −15.6771 | + | 43.0725i | −0.774237 | + | 2.12720i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.17952 | − | 4.98096i | 0.205910 | − | 0.245394i | ||||
\(413\) | 0.117742 | − | 7.34269i | 0.00579371 | − | 0.361310i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 16.1315 | − | 27.9405i | 0.791863 | − | 1.37155i | ||||
\(416\) | −10.7072 | − | 8.98439i | −0.524963 | − | 0.440496i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.67884 | − | 0.472351i | 0.131026 | − | 0.0231035i | ||||
\(419\) | 20.3827 | + | 7.41869i | 0.995759 | + | 0.362427i | 0.787948 | − | 0.615742i | \(-0.211144\pi\) |
0.207811 | + | 0.978169i | \(0.433366\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.52904 | + | 25.6854i | −0.220732 | + | 1.25183i | 0.649947 | + | 0.759980i | \(0.274791\pi\) |
−0.870679 | + | 0.491852i | \(0.836320\pi\) | |||||||
\(422\) | −19.6808 | − | 11.3627i | −0.958049 | − | 0.553130i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.40096 | + | 11.0868i | 0.310858 | + | 0.538422i | ||||
\(425\) | −12.6089 | + | 71.5087i | −0.611622 | + | 3.46868i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.56942 | + | 9.81870i | 0.0759495 | + | 0.475160i | ||||
\(428\) | −0.984771 | − | 1.17360i | −0.0476007 | − | 0.0567283i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −46.6395 | − | 8.22381i | −2.24916 | − | 0.396587i | ||||
\(431\) | 20.8304 | + | 12.0264i | 1.00336 | + | 0.579293i | 0.909242 | − | 0.416268i | \(-0.136662\pi\) |
0.0941228 | + | 0.995561i | \(0.469995\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.41498i | 0.164114i | 0.996628 | + | 0.0820568i | \(0.0261489\pi\) | ||||
−0.996628 | + | 0.0820568i | \(0.973851\pi\) | |||||||
\(434\) | 2.42326 | + | 0.467465i | 0.116320 | + | 0.0224391i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.315583 | − | 0.114863i | −0.0151137 | − | 0.00550093i | ||||
\(437\) | 4.60684 | + | 1.67675i | 0.220375 | + | 0.0802099i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −26.8131 | − | 4.72787i | −1.27972 | − | 0.225649i | −0.507858 | − | 0.861441i | \(-0.669562\pi\) |
−0.771860 | + | 0.635792i | \(0.780673\pi\) | |||||||
\(440\) | 6.35055 | − | 10.9995i | 0.302751 | − | 0.524380i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −12.1947 | − | 21.1219i | −0.580045 | − | 1.00467i | ||||
\(443\) | −5.11471 | − | 14.0525i | −0.243007 | − | 0.667657i | −0.999900 | − | 0.0141181i | \(-0.995506\pi\) |
0.756893 | − | 0.653539i | \(-0.226716\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −41.2150 | + | 34.5835i | −1.95378 | + | 1.63941i | ||||
\(446\) | −4.74441 | − | 26.9069i | −0.224654 | − | 1.27408i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −14.4746 | + | 16.6989i | −0.683860 | + | 0.788950i | ||||
\(449\) | −16.1509 | + | 9.32474i | −0.762209 | + | 0.440062i | −0.830088 | − | 0.557632i | \(-0.811710\pi\) |
0.0678793 | + | 0.997694i | \(0.478377\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −8.70330 | + | 5.02485i | −0.409822 | + | 0.236611i | ||||
\(452\) | −1.46584 | − | 4.02737i | −0.0689474 | − | 0.189431i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.42161 | + | 0.250668i | −0.0667193 | + | 0.0117644i | ||||
\(455\) | −29.7730 | + | 24.1798i | −1.39578 | + | 1.13356i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −24.6881 | − | 20.7158i | −1.15486 | − | 0.969044i | −0.155039 | − | 0.987908i | \(-0.549550\pi\) |
−0.999822 | + | 0.0188644i | \(0.993995\pi\) | |||||||
\(458\) | −0.446814 | + | 0.773904i | −0.0208782 | + | 0.0361622i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5.37122 | − | 3.10107i | 0.250434 | − | 0.144588i | ||||
\(461\) | 14.8218 | − | 5.39468i | 0.690318 | − | 0.251255i | 0.0270466 | − | 0.999634i | \(-0.491390\pi\) |
0.663271 | + | 0.748379i | \(0.269168\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.32062 | − | 4.46453i | 0.247270 | − | 0.207484i | −0.510726 | − | 0.859744i | \(-0.670623\pi\) |
0.757996 | + | 0.652260i | \(0.226179\pi\) | |||||||
\(464\) | −2.60905 | − | 3.10934i | −0.121122 | − | 0.144348i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −14.1459 | + | 5.14869i | −0.655297 | + | 0.238509i | ||||
\(467\) | −14.2646 | −0.660086 | −0.330043 | − | 0.943966i | \(-0.607063\pi\) | ||||
−0.330043 | + | 0.943966i | \(0.607063\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.42361 | − | 2.64943i | −0.204263 | − | 0.122339i | ||||
\(470\) | −32.9316 | − | 5.80674i | −1.51902 | − | 0.267845i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −5.48680 | − | 6.53891i | −0.252550 | − | 0.300978i | ||||
\(473\) | −6.67435 | − | 7.95419i | −0.306887 | − | 0.365734i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 27.9943 | + | 4.93615i | 1.28447 | + | 0.226486i | ||||
\(476\) | 10.5726 | − | 5.88010i | 0.484593 | − | 0.269514i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 20.6995 | 0.946772 | ||||||||
\(479\) | −8.88334 | + | 3.23327i | −0.405890 | + | 0.147732i | −0.536894 | − | 0.843650i | \(-0.680402\pi\) |
0.131003 | + | 0.991382i | \(0.458180\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.02099 | + | 10.7508i | 0.411322 | + | 0.490194i | ||||
\(482\) | 11.7500 | − | 9.85945i | 0.535199 | − | 0.449086i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.97391 | + | 2.53830i | −0.316996 | + | 0.115377i | ||||
\(485\) | −21.5780 | + | 12.4581i | −0.979808 | + | 0.565692i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.47468 | + | 11.2145i | −0.293396 | + | 0.508177i | −0.974610 | − | 0.223907i | \(-0.928119\pi\) |
0.681215 | + | 0.732084i | \(0.261452\pi\) | |||||||
\(488\) | 8.85374 | + | 7.42917i | 0.400790 | + | 0.336303i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 19.8761 | + | 25.2919i | 0.897909 | + | 1.14257i | ||||
\(491\) | 23.2766 | − | 4.10430i | 1.05046 | − | 0.185224i | 0.378340 | − | 0.925667i | \(-0.376495\pi\) |
0.672120 | + | 0.740442i | \(0.265384\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.35506 | + | 11.9654i | 0.196142 | + | 0.538896i | ||||
\(494\) | −8.26884 | + | 4.77402i | −0.372033 | + | 0.214793i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.41310 | − | 0.815855i | 0.0634502 | − | 0.0366330i | ||||
\(497\) | −12.0283 | − | 10.4261i | −0.539543 | − | 0.467674i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.29368 | − | 13.0081i | −0.102679 | − | 0.582323i | −0.992122 | − | 0.125276i | \(-0.960018\pi\) |
0.889443 | − | 0.457047i | \(-0.151093\pi\) | |||||||
\(500\) | 15.8786 | − | 13.3237i | 0.710111 | − | 0.595854i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.98744 | + | 5.46044i | 0.0887037 | + | 0.243711i | ||||
\(503\) | 12.0725 | + | 20.9102i | 0.538286 | + | 0.932339i | 0.998996 | + | 0.0447884i | \(0.0142614\pi\) |
−0.460710 | + | 0.887551i | \(0.652405\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.71995 | − | 13.3713i | 0.343533 | − | 0.595017i | ||||
\(506\) | −2.26426 | − | 0.399251i | −0.100659 | − | 0.0177489i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.03190 | − | 0.375582i | −0.0457833 | − | 0.0166638i | ||||
\(509\) | −15.0961 | − | 5.49452i | −0.669122 | − | 0.243540i | −0.0149520 | − | 0.999888i | \(-0.504760\pi\) |
−0.654170 | + | 0.756348i | \(0.726982\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −14.5294 | − | 12.5941i | −0.642743 | − | 0.557128i | ||||
\(512\) | 19.8118i | 0.875568i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 12.7025 | + | 7.33377i | 0.560282 | + | 0.323479i | ||||
\(515\) | −35.3150 | − | 6.22699i | −1.55616 | − | 0.274394i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.71268 | − | 5.61636i | −0.207264 | − | 0.247007i | ||||
\(518\) | 9.13659 | − | 7.42016i | 0.401439 | − | 0.326023i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7.74160 | + | 43.9048i | −0.339492 | + | 1.92535i | ||||
\(521\) | 4.79393 | + | 8.30333i | 0.210026 | + | 0.363776i | 0.951722 | − | 0.306960i | \(-0.0993118\pi\) |
−0.741696 | + | 0.670736i | \(0.765978\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 22.7408 | + | 13.1294i | 0.994384 | + | 0.574108i | 0.906582 | − | 0.422030i | \(-0.138682\pi\) |
0.0878023 | + | 0.996138i | \(0.472016\pi\) | |||||||
\(524\) | −0.549403 | + | 3.11582i | −0.0240008 | + | 0.136115i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 14.8383 | + | 5.40072i | 0.646983 | + | 0.235482i | ||||
\(527\) | −5.04107 | + | 0.888877i | −0.219592 | + | 0.0387201i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.4447 | + | 12.1205i | 0.628030 | + | 0.526980i | ||||
\(530\) | 9.56473 | − | 16.5666i | 0.415465 | − | 0.719607i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.30195 | − | 4.13896i | −0.0998022 | − | 0.179447i | ||||
\(533\) | 22.6746 | − | 27.0225i | 0.982146 | − | 1.17048i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.88980 | + | 7.93967i | −0.124937 | + | 0.343262i | ||||
\(536\) | −5.90246 | + | 1.04076i | −0.254948 | + | 0.0449541i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.72312 | − | 15.7242i | −0.246741 | − | 0.677916i | ||||
\(539\) | −0.226125 | + | 7.04905i | −0.00973989 | + | 0.303624i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.0613 | − | 20.8908i | −0.518556 | − | 0.898166i | −0.999768 | − | 0.0215613i | \(-0.993136\pi\) |
0.481211 | − | 0.876605i | \(-0.340197\pi\) | |||||||
\(542\) | 1.80759 | − | 10.2514i | 0.0776427 | − | 0.440333i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 8.31581 | − | 22.8475i | 0.356538 | − | 0.979579i | ||||
\(545\) | 0.321622 | + | 1.82401i | 0.0137768 | + | 0.0781321i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 21.4421 | + | 17.9921i | 0.916799 | + | 0.769286i | 0.973400 | − | 0.229111i | \(-0.0735818\pi\) |
−0.0566010 | + | 0.998397i | \(0.518026\pi\) | |||||||
\(548\) | − | 4.20116i | − | 0.179465i | ||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −13.3314 | −0.568454 | ||||||||
\(551\) | 4.68424 | − | 1.70493i | 0.199556 | − | 0.0726323i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.93856 | + | 18.1525i | −0.295058 | + | 0.771925i | ||||
\(554\) | 9.35657 | − | 25.7070i | 0.397522 | − | 1.09218i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.46089 | + | 8.89154i | −0.316412 | + | 0.377085i | ||||
\(557\) | − | 5.93171i | − | 0.251334i | −0.992072 | − | 0.125667i | \(-0.959893\pi\) | ||
0.992072 | − | 0.125667i | \(-0.0401072\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 31.5640 | + | 18.2235i | 1.33501 | + | 0.770770i | ||||
\(560\) | 20.8829 | + | 4.02846i | 0.882462 | + | 0.170234i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.490899 | + | 0.411913i | −0.0207073 | + | 0.0173755i | ||||
\(563\) | −1.83078 | − | 10.3828i | −0.0771580 | − | 0.437585i | −0.998775 | − | 0.0494840i | \(-0.984242\pi\) |
0.921617 | − | 0.388101i | \(-0.126869\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −15.1933 | + | 18.1067i | −0.639187 | + | 0.761753i | ||||
\(566\) | −26.1234 | −1.09805 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −18.5025 | −0.776346 | ||||||||
\(569\) | −9.09551 | + | 10.8396i | −0.381303 | + | 0.454420i | −0.922225 | − | 0.386653i | \(-0.873631\pi\) |
0.540922 | + | 0.841073i | \(0.318075\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.10726 | + | 23.2934i | 0.171884 | + | 0.974800i | 0.941680 | + | 0.336510i | \(0.109247\pi\) |
−0.769796 | + | 0.638290i | \(0.779642\pi\) | |||||||
\(572\) | −2.02877 | + | 1.70234i | −0.0848270 | + | 0.0711783i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −22.3554 | − | 19.3776i | −0.933096 | − | 0.808805i | ||||
\(575\) | −20.8080 | − | 12.0135i | −0.867752 | − | 0.500997i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 44.6938i | 1.86063i | 0.366765 | + | 0.930313i | \(0.380465\pi\) | ||||
−0.366765 | + | 0.930313i | \(0.619535\pi\) | |||||||
\(578\) | 15.0211 | − | 17.9014i | 0.624794 | − | 0.744600i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.15690 | − | 5.92604i | 0.0895605 | − | 0.246065i | ||||
\(581\) | 13.1277 | + | 16.1644i | 0.544629 | + | 0.670613i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.94119 | − | 1.43448i | 0.163227 | − | 0.0594099i | ||||
\(584\) | −22.3498 | −0.924840 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 17.6359i | 0.728534i | ||||||||
\(587\) | −21.3980 | − | 17.9551i | −0.883191 | − | 0.741085i | 0.0836420 | − | 0.996496i | \(-0.473345\pi\) |
−0.966833 | + | 0.255411i | \(0.917789\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.347979 | + | 1.97349i | 0.0143382 | + | 0.0813161i | ||||
\(590\) | −4.36245 | + | 11.9857i | −0.179599 | + | 0.493445i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.35133 | − | 7.66376i | 0.0555392 | − | 0.314979i | ||||
\(593\) | −2.10565 | − | 3.64710i | −0.0864689 | − | 0.149768i | 0.819547 | − | 0.573012i | \(-0.194225\pi\) |
−0.906016 | + | 0.423243i | \(0.860892\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −57.2384 | − | 34.2818i | −2.34655 | − | 1.40542i | ||||
\(596\) | 2.17881 | + | 5.98622i | 0.0892474 | + | 0.245205i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.94778 | − | 1.40141i | 0.325009 | − | 0.0573079i | ||||
\(599\) | −2.62407 | + | 7.20957i | −0.107217 | + | 0.294575i | −0.981686 | − | 0.190505i | \(-0.938987\pi\) |
0.874470 | + | 0.485080i | \(0.161210\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.3311 | + | 20.6544i | −0.706949 | + | 0.842509i | −0.993294 | − | 0.115617i | \(-0.963115\pi\) |
0.286344 | + | 0.958127i | \(0.407560\pi\) | |||||||
\(602\) | 15.7061 | − | 26.2235i | 0.640132 | − | 1.06879i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −4.87146 | + | 8.43762i | −0.198217 | + | 0.343322i | ||||
\(605\) | 31.3540 | + | 26.3092i | 1.27472 | + | 1.06962i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.86956 | − | 0.505981i | 0.116472 | − | 0.0205371i | −0.115108 | − | 0.993353i | \(-0.536722\pi\) |
0.231580 | + | 0.972816i | \(0.425610\pi\) | |||||||
\(608\) | −8.94438 | − | 3.25549i | −0.362742 | − | 0.132027i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.99896 | − | 17.0079i | 0.121424 | − | 0.688631i | ||||
\(611\) | 22.2869 | + | 12.8674i | 0.901633 | + | 0.520558i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.2809 | − | 29.9315i | −0.697971 | − | 1.20892i | −0.969169 | − | 0.246397i | \(-0.920753\pi\) |
0.271198 | − | 0.962523i | \(-0.412580\pi\) | |||||||
\(614\) | −6.75987 | + | 38.3371i | −0.272806 | + | 1.54716i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.16805 | + | 6.36351i | 0.208226 | + | 0.256393i | ||||
\(617\) | 16.2205 | + | 19.3308i | 0.653011 | + | 0.778228i | 0.986365 | − | 0.164574i | \(-0.0526248\pi\) |
−0.333354 | + | 0.942802i | \(0.608180\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 38.8625 | + | 6.85252i | 1.56202 | + | 0.275426i | 0.886786 | − | 0.462180i | \(-0.152933\pi\) |
0.675231 | + | 0.737606i | \(0.264044\pi\) | |||||||
\(620\) | 2.19552 | + | 1.26759i | 0.0881744 | + | 0.0509075i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.9405i | 0.438674i | ||||||||
\(623\) | −11.3523 | − | 32.8179i | −0.454819 | − | 1.31482i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −51.9647 | − | 18.9136i | −2.07859 | − | 0.756544i | ||||
\(626\) | −10.3852 | − | 3.77990i | −0.415076 | − | 0.151075i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.3437 | − | 1.82387i | −0.412759 | − | 0.0727805i | ||||
\(629\) | −12.2064 | + | 21.1422i | −0.486702 | + | 0.842993i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.73033 | + | 16.8534i | 0.387358 | + | 0.670924i | 0.992093 | − | 0.125503i | \(-0.0400544\pi\) |
−0.604735 | + | 0.796427i | \(0.706721\pi\) | |||||||
\(632\) | 7.72577 | + | 21.2264i | 0.307315 | + | 0.844340i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −9.72212 | + | 8.15782i | −0.386115 | + | 0.323989i | ||||
\(635\) | 1.05165 | + | 5.96421i | 0.0417335 | + | 0.236683i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −7.71670 | − | 23.5221i | −0.305747 | − | 0.931981i | ||||
\(638\) | −2.02462 | + | 1.16891i | −0.0801553 | + | 0.0462777i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 5.17987 | − | 2.99060i | 0.204752 | − | 0.118214i | ||||
\(641\) | −16.4862 | − | 45.2954i | −0.651165 | − | 1.78906i | −0.613398 | − | 0.789774i | \(-0.710198\pi\) |
−0.0377667 | − | 0.999287i | \(-0.512024\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −16.8028 | + | 2.96278i | −0.662636 | + | 0.116841i | −0.494844 | − | 0.868982i | \(-0.664775\pi\) |
−0.167792 | + | 0.985822i | \(0.553664\pi\) | |||||||
\(644\) | 0.631832 | + | 3.95291i | 0.0248977 | + | 0.155766i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.7233 | − | 10.6761i | −0.500592 | − | 0.420047i | ||||
\(647\) | −6.85799 | + | 11.8784i | −0.269616 | + | 0.466988i | −0.968763 | − | 0.247990i | \(-0.920230\pi\) |
0.699147 | + | 0.714978i | \(0.253563\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.42186 | + | 1.39826i | −0.0950662 | + | 0.0548865i | ||||
\(650\) | 43.9726 | − | 16.0047i | 1.72475 | − | 0.627756i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.55120 | + | 1.30161i | −0.0607498 | + | 0.0509752i | ||||
\(653\) | −21.3576 | − | 25.4530i | −0.835787 | − | 0.996053i | −0.999954 | − | 0.00962007i | \(-0.996938\pi\) |
0.164166 | − | 0.986433i | \(-0.447507\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 16.3967 | − | 5.96790i | 0.640671 | − | 0.233185i | ||||
\(656\) | −19.5603 | −0.763703 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 11.0899 | − | 18.5161i | 0.432328 | − | 0.721834i | ||||
\(659\) | 1.85923 | + | 0.327832i | 0.0724252 | + | 0.0127705i | 0.209743 | − | 0.977756i | \(-0.432737\pi\) |
−0.137318 | + | 0.990527i | \(0.543848\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −30.0773 | − | 35.8448i | −1.16987 | − | 1.39420i | −0.902545 | − | 0.430595i | \(-0.858304\pi\) |
−0.267328 | − | 0.963606i | \(-0.586141\pi\) | |||||||
\(662\) | 2.97872 | + | 3.54990i | 0.115771 | + | 0.137971i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 23.8369 | + | 4.20308i | 0.925050 | + | 0.163111i | ||||
\(665\) | −13.4207 | + | 22.4078i | −0.520432 | + | 0.868936i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.21342 | −0.163144 | ||||||||
\(668\) | −15.3906 | + | 5.60173i | −0.595482 | + | 0.216738i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 5.75674 | + | 6.86062i | 0.222402 | + | 0.265049i | ||||
\(671\) | 2.90064 | − | 2.43392i | 0.111978 | − | 0.0939605i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 19.5365 | − | 7.11069i | 0.753075 | − | 0.274097i | 0.0631762 | − | 0.998002i | \(-0.479877\pi\) |
0.689899 | + | 0.723905i | \(0.257655\pi\) | |||||||
\(674\) | −13.8102 | + | 7.97334i | −0.531950 | + | 0.307122i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.183251 | + | 0.317400i | −0.00704810 | + | 0.0122077i | ||||
\(677\) | −29.3952 | − | 24.6655i | −1.12975 | − | 0.947973i | −0.130695 | − | 0.991423i | \(-0.541721\pi\) |
−0.999056 | + | 0.0434493i | \(0.986165\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.53829 | − | 15.8802i | −0.0974105 | − | 0.609426i | ||||
\(680\) | −76.3738 | + | 13.4668i | −2.92880 | + | 0.516427i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.321434 | − | 0.883134i | −0.0123084 | − | 0.0338169i | ||||
\(683\) | 12.1220 | − | 6.99865i | 0.463836 | − | 0.267796i | −0.249820 | − | 0.968292i | \(-0.580371\pi\) |
0.713656 | + | 0.700496i | \(0.247038\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −20.0654 | + | 11.5848i | −0.766661 | + | 0.442632i | ||||
\(686\) | −19.8287 | + | 6.15469i | −0.757064 | + | 0.234987i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.50942 | − | 19.9029i | −0.133795 | − | 0.758791i | ||||
\(689\) | −11.2775 | + | 9.46299i | −0.429640 | + | 0.360511i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.8752 | − | 43.6168i | −0.603922 | − | 1.65926i | −0.743248 | − | 0.669016i | \(-0.766716\pi\) |
0.139326 | − | 0.990247i | \(-0.455506\pi\) | |||||||
\(692\) | −4.12003 | − | 7.13611i | −0.156620 | − | 0.271274i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.48345 | + | 7.76556i | −0.170189 | + | 0.294777i | ||||
\(695\) | 63.0410 | + | 11.1158i | 2.39128 | + | 0.421648i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 57.6621 | + | 20.9873i | 2.18411 | + | 0.794950i | ||||
\(698\) | 14.9528 | + | 5.44237i | 0.565972 | + | 0.205997i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 7.58795 | + | 21.9358i | 0.286798 | + | 0.829096i | ||||
\(701\) | − | 25.1102i | − | 0.948399i | −0.880417 | − | 0.474199i | \(-0.842738\pi\) | ||
0.880417 | − | 0.474199i | \(-0.157262\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 8.27676 | + | 4.77859i | 0.312164 | + | 0.180228i | ||||
\(704\) | 8.28766 | + | 1.46134i | 0.312353 | + | 0.0550762i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −11.4891 | − | 13.6922i | −0.432399 | − | 0.515313i | ||||
\(707\) | 6.28245 | + | 7.73571i | 0.236276 | + | 0.290931i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.87398 | − | 21.9704i | 0.145490 | − | 0.825116i | −0.821482 | − | 0.570234i | \(-0.806852\pi\) |
0.966972 | − | 0.254882i | \(-0.0820365\pi\) | |||||||
\(710\) | 13.8238 | + | 23.9435i | 0.518797 | + | 0.898583i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −34.9563 | − | 20.1820i | −1.31004 | − | 0.756353i | ||||
\(713\) | 0.294126 | − | 1.66807i | 0.0110151 | − | 0.0624697i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 13.7250 | + | 4.99550i | 0.513286 | + | 0.186821i | ||||
\(716\) | −9.27166 | + | 1.63484i | −0.346498 | + | 0.0610970i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 12.5740 | + | 10.5509i | 0.469259 | + | 0.393755i | ||||
\(719\) | 1.57773 | − | 2.73271i | 0.0588395 | − | 0.101913i | −0.835105 | − | 0.550090i | \(-0.814593\pi\) |
0.893945 | + | 0.448177i | \(0.147927\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 11.8925 | − | 19.8562i | 0.442899 | − | 0.739483i | ||||
\(722\) | 9.51171 | − | 11.3356i | 0.353989 | − | 0.421868i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.409215 | + | 1.12431i | −0.0152083 | + | 0.0417846i | ||||
\(725\) | −24.0595 | + | 4.24234i | −0.893548 | + | 0.157557i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.93771 | − | 8.07129i | −0.108954 | − | 0.299348i | 0.873219 | − | 0.487328i | \(-0.162028\pi\) |
−0.982173 | + | 0.187980i | \(0.939806\pi\) | |||||||
\(728\) | −24.6859 | − | 14.7851i | −0.914920 | − | 0.547974i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 16.6982 | + | 28.9222i | 0.618029 | + | 1.07046i | ||||
\(731\) | −11.0094 | + | 62.4374i | −0.407197 | + | 2.30933i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.57552 | − | 26.3085i | 0.353680 | − | 0.971727i | −0.627498 | − | 0.778619i | \(-0.715921\pi\) |
0.981177 | − | 0.193109i | \(-0.0618570\pi\) | |||||||
\(734\) | −1.88569 | − | 10.6943i | −0.0696019 | − | 0.394732i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.16309 | + | 5.17145i | 0.227175 | + | 0.190622i | ||||
\(737\) | 1.96358i | 0.0723293i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.6207 | 0.758546 | 0.379273 | − | 0.925285i | \(-0.376174\pi\) | ||||
0.379273 | + | 0.925285i | \(0.376174\pi\) | |||||||
\(740\) | 11.3616 | − | 4.13530i | 0.417662 | − | 0.152017i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 7.78373 | + | 9.58425i | 0.285750 | + | 0.351849i | ||||
\(743\) | −2.11075 | + | 5.79924i | −0.0774359 | + | 0.212753i | −0.972370 | − | 0.233445i | \(-0.925000\pi\) |
0.894934 | + | 0.446198i | \(0.147222\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 22.5831 | − | 26.9135i | 0.827381 | − | 0.986034i | ||||
\(746\) | − | 14.6539i | − | 0.536519i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −3.98971 | − | 2.30346i | −0.145878 | − | 0.0842227i | ||||
\(749\) | −4.12083 | − | 3.57192i | −0.150572 | − | 0.130515i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −15.2733 | + | 12.8158i | −0.557330 | + | 0.467656i | −0.877414 | − | 0.479734i | \(-0.840733\pi\) |
0.320084 | + | 0.947389i | \(0.396289\pi\) | |||||||
\(752\) | −2.47796 | − | 14.0532i | −0.0903618 | − | 0.512467i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 5.27471 | − | 6.28616i | 0.192094 | − | 0.228928i | ||||
\(755\) | 53.7326 | 1.95553 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 14.8634 | 0.540221 | 0.270110 | − | 0.962829i | \(-0.412940\pi\) | ||||
0.270110 | + | 0.962829i | \(0.412940\pi\) | |||||||
\(758\) | 4.22586 | − | 5.03619i | 0.153490 | − | 0.182923i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.27199 | + | 29.8989i | 0.191235 | + | 1.08455i | ||||
\(761\) | −11.7805 | + | 9.88505i | −0.427044 | + | 0.358333i | −0.830835 | − | 0.556519i | \(-0.812137\pi\) |
0.403791 | + | 0.914851i | \(0.367692\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.17380 | − | 0.226436i | −0.0424945 | − | 0.00819752i | ||||
\(764\) | 8.36151 | + | 4.82752i | 0.302509 | + | 0.174654i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 32.4940i | − | 1.17406i | ||||||
\(767\) | 6.30964 | − | 7.51954i | 0.227828 | − | 0.271515i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.80418 | − | 13.1994i | 0.173243 | − | 0.475982i | −0.822434 | − | 0.568860i | \(-0.807385\pi\) |
0.995677 | + | 0.0928784i | \(0.0296068\pi\) | |||||||
\(770\) | 4.37363 | − | 11.4422i | 0.157615 | − | 0.412348i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 9.80546 | − | 3.56890i | 0.352906 | − | 0.128447i | ||||
\(773\) | −20.4197 | −0.734446 | −0.367223 | − | 0.930133i | \(-0.619691\pi\) | ||||
−0.367223 | + | 0.930133i | \(0.619691\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 9.82119i | − | 0.352788i | ||||||
\(776\) | −14.3195 | − | 12.0155i | −0.514041 | − | 0.431332i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7.16750 | + | 40.6489i | 0.256967 | + | 1.45733i | ||||
\(779\) | 8.21613 | − | 22.5736i | 0.294373 | − | 0.808784i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.05261 | + | 5.96963i | −0.0376652 | + | 0.213610i | ||||
\(782\) | 7.01935 | + | 12.1579i | 0.251011 | + | 0.434764i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −7.24115 | + | 11.6618i | −0.258612 | + | 0.416493i | ||||
\(785\) | 19.8119 | + | 54.4326i | 0.707116 | + | 1.94278i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −28.5055 | + | 5.02629i | −1.01611 | + | 0.179168i | −0.656812 | − | 0.754054i | \(-0.728096\pi\) |
−0.359300 | + | 0.933222i | \(0.616984\pi\) | |||||||
\(788\) | −4.46596 | + | 12.2701i | −0.159093 | + | 0.437105i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 21.6963 | − | 25.8566i | 0.771918 | − | 0.919937i | ||||
\(791\) | −7.41513 | − | 13.3326i | −0.263652 | − | 0.474052i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.64551 | + | 11.5104i | −0.235989 | + | 0.408745i | ||||
\(794\) | 29.9506 | + | 25.1315i | 1.06291 | + | 0.891884i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 16.3054 | − | 2.87509i | 0.577931 | − | 0.101905i | ||||
\(797\) | 44.1173 | + | 16.0574i | 1.56271 | + | 0.568781i | 0.971356 | − | 0.237628i | \(-0.0763700\pi\) |
0.591357 | + | 0.806410i | \(0.298592\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −7.77360 | + | 44.0863i | −0.275010 | + | 1.55966i | ||||
\(800\) | 40.3996 | + | 23.3247i | 1.42834 | + | 0.824653i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −20.5123 | − | 35.5284i | −0.724315 | − | 1.25455i | ||||
\(803\) | −1.27148 | + | 7.21092i | −0.0448696 | + | 0.254468i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 17.1375 | − | 13.9180i | 0.604016 | − | 0.490544i | ||||
\(806\) | 2.12045 | + | 2.52705i | 0.0746896 | + | 0.0890115i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 11.4075 | + | 2.01144i | 0.401313 | + | 0.0707624i | ||||
\(809\) | −16.7570 | − | 9.67464i | −0.589144 | − | 0.340142i | 0.175615 | − | 0.984459i | \(-0.443809\pi\) |
−0.764759 | + | 0.644317i | \(0.777142\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 46.9758i | − | 1.64954i | −0.565466 | − | 0.824771i | \(-0.691304\pi\) | ||
0.565466 | − | 0.824771i | \(-0.308696\pi\) | |||||||
\(812\) | 3.07572 | + | 2.66603i | 0.107937 | + | 0.0935592i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −4.21186 | − | 1.53299i | −0.147626 | − | 0.0537313i | ||||
\(815\) | 10.4942 | + | 3.81958i | 0.367596 | + | 0.133794i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 24.4431 | + | 4.30997i | 0.855155 | + | 0.150787i | ||||
\(818\) | 21.2784 | − | 36.8553i | 0.743982 | − | 1.28862i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −15.1953 | − | 26.3191i | −0.530645 | − | 0.919103i | ||||
\(821\) | 6.79548 | + | 18.6704i | 0.237164 | + | 0.651603i | 0.999988 | + | 0.00499598i | \(0.00159028\pi\) |
−0.762824 | + | 0.646607i | \(0.776188\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.44422 | − | 2.05094i | 0.0852001 | − | 0.0714914i | −0.599193 | − | 0.800605i | \(-0.704512\pi\) |
0.684393 | + | 0.729113i | \(0.260067\pi\) | |||||||
\(824\) | −4.67166 | − | 26.4943i | −0.162745 | − | 0.922973i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −6.22081 | − | 5.39218i | −0.216450 | − | 0.187618i | ||||
\(827\) | 22.4378 | − | 12.9545i | 0.780239 | − | 0.450471i | −0.0562757 | − | 0.998415i | \(-0.517923\pi\) |
0.836515 | + | 0.547944i | \(0.184589\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −26.0612 | + | 15.0464i | −0.905143 | + | 0.522585i | −0.878865 | − | 0.477070i | \(-0.841699\pi\) |
−0.0262778 | + | 0.999655i | \(0.508365\pi\) | |||||||
\(830\) | −12.3702 | − | 33.9868i | −0.429376 | − | 1.17970i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −29.0905 | + | 5.12944i | −1.00853 | + | 0.177831i | ||||
\(833\) | 33.8588 | − | 26.6085i | 1.17314 | − | 0.921930i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 69.1948 | + | 58.0613i | 2.39459 | + | 2.00930i | ||||
\(836\) | −0.901761 | + | 1.56190i | −0.0311881 | + | 0.0540193i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 21.0585 | − | 12.1581i | 0.727453 | − | 0.419995i | ||||
\(839\) | 25.0830 | − | 9.12945i | 0.865960 | − | 0.315184i | 0.129430 | − | 0.991589i | \(-0.458685\pi\) |
0.736530 | + | 0.676405i | \(0.236463\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 18.9334 | − | 15.8870i | 0.652876 | − | 0.547828i | ||||
\(842\) | 18.7942 | + | 22.3981i | 0.647691 | + | 0.771888i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 14.1588 | − | 5.15337i | 0.487365 | − | 0.177386i | ||||
\(845\) | 2.02127 | 0.0695338 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −23.0871 | + | 12.8403i | −0.793282 | + | 0.441197i | ||||
\(848\) | 8.03926 | + | 1.41754i | 0.276069 | + | 0.0486785i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 52.3233 | + | 62.3565i | 1.79468 | + | 2.13881i | ||||
\(851\) | −5.19252 | − | 6.18820i | −0.177997 | − | 0.212129i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −36.3817 | − | 6.41508i | −1.24569 | − | 0.219648i | −0.488335 | − | 0.872656i | \(-0.662396\pi\) |
−0.757351 | + | 0.653008i | \(0.773507\pi\) | |||||||
\(854\) | 9.56288 | + | 5.72750i | 0.327235 | + | 0.195991i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6.33884 | −0.216657 | ||||||||
\(857\) | 20.6042 | − | 7.49932i | 0.703827 | − | 0.256172i | 0.0347829 | − | 0.999395i | \(-0.488926\pi\) |
0.669044 | + | 0.743223i | \(0.266704\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.54908 | + | 1.84613i | 0.0528541 | + | 0.0629890i | 0.791824 | − | 0.610750i | \(-0.209132\pi\) |
−0.738970 | + | 0.673739i | \(0.764687\pi\) | |||||||
\(860\) | 24.0538 | − | 20.1835i | 0.820227 | − | 0.688252i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 25.3381 | − | 9.22230i | 0.863018 | − | 0.314113i | ||||
\(863\) | −37.5953 | + | 21.7057i | −1.27976 | + | 0.738869i | −0.976804 | − | 0.214135i | \(-0.931307\pi\) |
−0.302955 | + | 0.953005i | \(0.597973\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −22.7222 | + | 39.3559i | −0.772577 | + | 1.33814i | ||||
\(866\) | 2.93267 | + | 2.46080i | 0.0996562 | + | 0.0836215i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −1.27017 | + | 1.03155i | −0.0431125 | + | 0.0350133i | ||||
\(869\) | 7.28799 | − | 1.28507i | 0.247228 | − | 0.0435930i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.35732 | − | 6.47669i | −0.0798748 | − | 0.219454i | ||||
\(872\) | −1.20337 | + | 0.694768i | −0.0407513 | + | 0.0235278i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 4.75958 | − | 2.74794i | 0.160995 | − | 0.0929506i | ||||
\(875\) | 48.3272 | − | 55.7537i | 1.63376 | − | 1.88482i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.09135 | − | 6.18938i | −0.0368524 | − | 0.209000i | 0.960821 | − | 0.277168i | \(-0.0893959\pi\) |
−0.997674 | + | 0.0681675i | \(0.978285\pi\) | |||||||
\(878\) | −23.3814 | + | 19.6193i | −0.789083 | + | 0.662119i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.77002 | − | 7.61056i | −0.0933773 | − | 0.256552i | ||||
\(881\) | −6.18255 | − | 10.7085i | −0.208295 | − | 0.360778i | 0.742882 | − | 0.669422i | \(-0.233458\pi\) |
−0.951178 | + | 0.308644i | \(0.900125\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 9.12997 | − | 15.8136i | 0.307248 | − | 0.532169i | −0.670511 | − | 0.741899i | \(-0.733925\pi\) |
0.977759 | + | 0.209730i | \(0.0672586\pi\) | |||||||
\(884\) | 15.9251 | + | 2.80802i | 0.535617 | + | 0.0944438i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −15.7535 | − | 5.73379i | −0.529248 | − | 0.192630i | ||||
\(887\) | 7.91282 | + | 2.88003i | 0.265686 | + | 0.0967020i | 0.471428 | − | 0.881904i | \(-0.343739\pi\) |
−0.205742 | + | 0.978606i | \(0.565961\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.83814 | − | 0.740406i | −0.128727 | − | 0.0248324i | ||||
\(890\) | 60.3145i | 2.02175i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 15.6880 | + | 9.05749i | 0.525274 | + | 0.303267i | ||||
\(893\) | 17.2590 | + | 3.04322i | 0.577549 | + | 0.101838i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 33.3751 | + | 39.7749i | 1.11561 | + | 1.32953i | ||||
\(896\) | 0.609324 | + | 3.81209i | 0.0203561 | + | 0.127353i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −3.63043 | + | 20.5892i | −0.121149 | + | 0.687069i | ||||
\(899\) | −0.861132 | − | 1.49152i | −0.0287204 | − | 0.0497451i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −22.1781 | − | 12.8045i | −0.738858 | − | 0.426580i | ||||
\(902\) | −1.95634 | + | 11.0950i | −0.0651390 | + | 0.369421i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −16.6634 | − | 6.06498i | −0.554216 | − | 0.201718i | ||||
\(905\) | 6.49830 | − | 1.14583i | 0.216011 | − | 0.0380885i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −10.0928 | − | 8.46887i | −0.335126 | − | 0.281204i | 0.459659 | − | 0.888096i | \(-0.347972\pi\) |
−0.794785 | + | 0.606892i | \(0.792416\pi\) | |||||||
\(908\) | 0.478547 | − | 0.828867i | 0.0158811 | − | 0.0275069i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.689384 | + | 42.9917i | −0.0228529 | + | 1.42516i | ||||
\(911\) | 15.2020 | − | 18.1170i | 0.503664 | − | 0.600244i | −0.452973 | − | 0.891524i | \(-0.649637\pi\) |
0.956638 | + | 0.291280i | \(0.0940812\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.71216 | − | 7.45160i | 0.0897594 | − | 0.246612i | ||||
\(914\) | −35.5800 | + | 6.27372i | −1.17688 | + | 0.207516i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.202644 | − | 0.556761i | −0.00669556 | − | 0.0183959i | ||||
\(917\) | −0.180569 | + | 11.2607i | −0.00596291 | + | 0.371862i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.87139 | − | 4.97339i | −0.0947183 | − | 0.164057i | 0.814773 | − | 0.579780i | \(-0.196862\pi\) |
−0.909491 | + | 0.415724i | \(0.863528\pi\) | |||||||
\(920\) | 4.45610 | − | 25.2718i | 0.146913 | − | 0.833186i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 6.04764 | − | 16.6158i | 0.199169 | − | 0.547211i | ||||
\(923\) | −3.69475 | − | 20.9540i | −0.121614 | − | 0.689708i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −35.8811 | − | 30.1078i | −1.17976 | − | 0.989939i | ||||
\(926\) | − | 7.78626i | − | 0.255872i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 8.18053 | 0.268539 | ||||||||
\(929\) | 31.8850 | − | 11.6052i | 1.04611 | − | 0.380754i | 0.238918 | − | 0.971040i | \(-0.423207\pi\) |
0.807194 | + | 0.590286i | \(0.200985\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −10.4167 | − | 13.2551i | −0.341395 | − | 0.434418i | ||||
\(932\) | 3.41368 | − | 9.37902i | 0.111819 | − | 0.307220i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −10.2789 | + | 12.2499i | −0.336337 | + | 0.400830i | ||||
\(935\) | 25.4073i | 0.830909i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1.87049 | − | 1.07993i | −0.0611062 | − | 0.0352797i | 0.469136 | − | 0.883126i | \(-0.344566\pi\) |
−0.530242 | + | 0.847846i | \(0.677899\pi\) | |||||||
\(938\) | −5.46285 | + | 1.88969i | −0.178368 | + | 0.0617005i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 16.9841 | − | 14.2513i | 0.553960 | − | 0.464828i | ||||
\(941\) | 1.85768 | + | 10.5354i | 0.0605587 | + | 0.343446i | 1.00000 | 0.000734985i | \(0.000233953\pi\) | |
−0.939441 | + | 0.342711i | \(0.888655\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −13.0516 | + | 15.5543i | −0.425018 | + | 0.506517i | ||||
\(944\) | −5.44303 | −0.177156 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −11.6403 | −0.378457 | ||||||||
\(947\) | 20.1759 | − | 24.0447i | 0.655630 | − | 0.781349i | −0.331122 | − | 0.943588i | \(-0.607427\pi\) |
0.986751 | + | 0.162239i | \(0.0518716\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.46302 | − | 25.3110i | −0.144876 | − | 0.821631i | ||||
\(950\) | 24.4114 | − | 20.4836i | 0.792011 | − | 0.664576i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 9.48115 | − | 49.1487i | 0.307286 | − | 1.59292i | ||||
\(953\) | 7.86126 | + | 4.53870i | 0.254651 | + | 0.147023i | 0.621892 | − | 0.783103i | \(-0.286364\pi\) |
−0.367241 | + | 0.930126i | \(0.619698\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 53.2480i | − | 1.72306i | ||||||
\(956\) | −8.82172 | + | 10.5133i | −0.285315 | + | 0.340025i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.62462 | + | 9.95857i | −0.117106 | + | 0.321747i | ||||
\(959\) | −2.36036 | − | 14.7670i | −0.0762199 | − | 0.476852i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −28.4799 | + | 10.3658i | −0.918706 | + | 0.334381i | ||||
\(962\) | 15.7329 | 0.507247 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 10.1698i | 0.327547i | ||||||||
\(965\) | −44.0844 | − | 36.9912i | −1.41913 | − | 1.19079i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.45036 | + | 30.9105i | 0.175272 | + | 0.994016i | 0.937830 | + | 0.347096i | \(0.112832\pi\) |
−0.762558 | + | 0.646920i | \(0.776057\pi\) | |||||||
\(968\) | −10.5023 | + | 28.8548i | −0.337557 | + | 0.927430i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −4.85034 | + | 27.5077i | −0.155735 | + | 0.883217i | ||||
\(971\) | 14.1550 | + | 24.5172i | 0.454255 | + | 0.786793i | 0.998645 | − | 0.0520390i | \(-0.0165720\pi\) |
−0.544390 | + | 0.838832i | \(0.683239\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −21.2293 | + | 35.4454i | −0.680582 | + | 1.13633i | ||||
\(974\) | 4.96502 | + | 13.6413i | 0.159090 | + | 0.437095i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.25794 | − | 1.27977i | 0.232321 | − | 0.0409645i | ||||
\(977\) | −3.25337 | + | 8.93857i | −0.104085 | + | 0.285970i | −0.980793 | − | 0.195052i | \(-0.937512\pi\) |
0.876708 | + | 0.481023i | \(0.159735\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.50019 | + | 10.1301i | −0.271667 | + | 0.323760i | ||||
\(980\) | −21.3166 | − | 0.683811i | −0.680934 | − | 0.0218435i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 13.2483 | − | 22.9467i | 0.422770 | − | 0.732258i | ||||
\(983\) | −27.5518 | − | 23.1187i | −0.878765 | − | 0.737371i | 0.0871597 | − | 0.996194i | \(-0.472221\pi\) |
−0.965925 | + | 0.258823i | \(0.916665\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 70.9191 | − | 12.5050i | 2.25967 | − | 0.398441i | ||||
\(986\) | 13.4137 | + | 4.88219i | 0.427180 | + | 0.155481i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.09929 | − | 6.23436i | 0.0349730 | − | 0.198341i | ||||
\(989\) | −18.1683 | − | 10.4895i | −0.577720 | − | 0.333547i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 10.9977 | + | 19.0485i | 0.349352 | + | 0.605095i | 0.986134 | − | 0.165948i | \(-0.0530684\pi\) |
−0.636783 | + | 0.771043i | \(0.719735\pi\) | |||||||
\(992\) | −0.571058 | + | 3.23863i | −0.0181311 | + | 0.102827i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −17.6210 | + | 2.81654i | −0.558906 | + | 0.0893353i | ||||
\(995\) | −58.6945 | − | 69.9494i | −1.86074 | − | 2.21754i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 21.0010 | + | 3.70304i | 0.665108 | + | 0.117277i | 0.496002 | − | 0.868321i | \(-0.334801\pi\) |
0.169106 | + | 0.985598i | \(0.445912\pi\) | |||||||
\(998\) | −12.8237 | − | 7.40378i | −0.405928 | − | 0.234363i | ||||
\(999\) | 0 | 0 |
(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 | 567.2.ba.a.143.16 | 132 | ||
3.2 | odd | 2 | 189.2.ba.a.101.7 | ✓ | 132 | ||
7.5 | odd | 6 | 567.2.bd.a.467.7 | 132 | |||
21.5 | even | 6 | 189.2.bd.a.47.16 | yes | 132 | ||
27.4 | even | 9 | 189.2.bd.a.185.16 | yes | 132 | ||
27.23 | odd | 18 | 567.2.bd.a.17.7 | 132 | |||
189.131 | even | 18 | inner | 567.2.ba.a.341.16 | 132 | ||
189.166 | odd | 18 | 189.2.ba.a.131.7 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.7 | ✓ | 132 | 3.2 | odd | 2 | ||
189.2.ba.a.131.7 | yes | 132 | 189.166 | odd | 18 | ||
189.2.bd.a.47.16 | yes | 132 | 21.5 | even | 6 | ||
189.2.bd.a.185.16 | yes | 132 | 27.4 | even | 9 | ||
567.2.ba.a.143.16 | 132 | 1.1 | even | 1 | trivial | ||
567.2.ba.a.341.16 | 132 | 189.131 | even | 18 | inner | ||
567.2.bd.a.17.7 | 132 | 27.23 | odd | 18 | |||
567.2.bd.a.467.7 | 132 | 7.5 | odd | 6 |