Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(7,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.l (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 107.10 | ||
Character | \(\chi\) | \(=\) | 230.107 |
Dual form | 230.2.l.a.43.10 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{17}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.800541 | − | 0.599278i | 0.566068 | − | 0.423753i | ||||
\(3\) | 1.22288 | + | 0.456112i | 0.706032 | + | 0.263336i | 0.676727 | − | 0.736234i | \(-0.263398\pi\) |
0.0293051 | + | 0.999571i | \(0.490671\pi\) | |||||||
\(4\) | 0.281733 | − | 0.959493i | 0.140866 | − | 0.479746i | ||||
\(5\) | 2.22567 | + | 0.215423i | 0.995348 | + | 0.0963403i | ||||
\(6\) | 1.25231 | − | 0.367710i | 0.511252 | − | 0.150117i | ||||
\(7\) | −2.43114 | + | 0.528861i | −0.918883 | + | 0.199891i | −0.647045 | − | 0.762452i | \(-0.723995\pi\) |
−0.271839 | + | 0.962343i | \(0.587632\pi\) | |||||||
\(8\) | −0.349464 | − | 0.936950i | −0.123554 | − | 0.331262i | ||||
\(9\) | −0.979843 | − | 0.849039i | −0.326614 | − | 0.283013i | ||||
\(10\) | 1.91084 | − | 1.16134i | 0.604260 | − | 0.367247i | ||||
\(11\) | 3.01707 | − | 0.433789i | 0.909680 | − | 0.130792i | 0.328440 | − | 0.944525i | \(-0.393477\pi\) |
0.581240 | + | 0.813733i | \(0.302568\pi\) | |||||||
\(12\) | 0.782162 | − | 1.04485i | 0.225791 | − | 0.301621i | ||||
\(13\) | −0.464228 | + | 2.13402i | −0.128754 | + | 0.591871i | 0.866879 | + | 0.498518i | \(0.166122\pi\) |
−0.995633 | + | 0.0933533i | \(0.970241\pi\) | |||||||
\(14\) | −1.62929 | + | 1.88030i | −0.435446 | + | 0.502532i | ||||
\(15\) | 2.62347 | + | 1.27859i | 0.677378 | + | 0.330131i | ||||
\(16\) | −0.841254 | − | 0.540641i | −0.210313 | − | 0.135160i | ||||
\(17\) | −2.42878 | + | 4.44798i | −0.589066 | + | 1.07879i | 0.397833 | + | 0.917458i | \(0.369762\pi\) |
−0.986899 | + | 0.161337i | \(0.948419\pi\) | |||||||
\(18\) | −1.29322 | − | 0.0924926i | −0.304814 | − | 0.0218007i | ||||
\(19\) | −5.85563 | − | 1.71937i | −1.34337 | − | 0.394450i | −0.470501 | − | 0.882399i | \(-0.655927\pi\) |
−0.872872 | + | 0.487949i | \(0.837745\pi\) | |||||||
\(20\) | 0.833740 | − | 2.07482i | 0.186430 | − | 0.463944i | ||||
\(21\) | −3.21422 | − | 0.462135i | −0.701400 | − | 0.100846i | ||||
\(22\) | 2.15533 | − | 2.15533i | 0.459517 | − | 0.459517i | ||||
\(23\) | 1.66639 | − | 4.49702i | 0.347466 | − | 0.937693i | ||||
\(24\) | − | 1.30517i | − | 0.266418i | ||||||
\(25\) | 4.90719 | + | 0.958922i | 0.981437 | + | 0.191784i | ||||
\(26\) | 0.907238 | + | 1.98657i | 0.177924 | + | 0.389599i | ||||
\(27\) | −2.68749 | − | 4.92177i | −0.517207 | − | 0.947195i | ||||
\(28\) | −0.177492 | + | 2.48166i | −0.0335428 | + | 0.468989i | ||||
\(29\) | 1.38545 | + | 4.71841i | 0.257271 | + | 0.876186i | 0.982276 | + | 0.187442i | \(0.0600195\pi\) |
−0.725004 | + | 0.688744i | \(0.758162\pi\) | |||||||
\(30\) | 2.86643 | − | 0.548624i | 0.523336 | − | 0.100165i | ||||
\(31\) | 0.735099 | − | 1.60964i | 0.132028 | − | 0.289100i | −0.832059 | − | 0.554686i | \(-0.812838\pi\) |
0.964087 | + | 0.265586i | \(0.0855655\pi\) | |||||||
\(32\) | −0.997452 | + | 0.0713392i | −0.176326 | + | 0.0126111i | ||||
\(33\) | 3.88738 | + | 0.845647i | 0.676705 | + | 0.147208i | ||||
\(34\) | 0.721236 | + | 5.01631i | 0.123691 | + | 0.860290i | ||||
\(35\) | −5.52483 | + | 0.653345i | −0.933867 | + | 0.110436i | ||||
\(36\) | −1.09070 | + | 0.700951i | −0.181783 | + | 0.116825i | ||||
\(37\) | −0.219832 | − | 3.07366i | −0.0361402 | − | 0.505306i | −0.982993 | − | 0.183640i | \(-0.941212\pi\) |
0.946853 | − | 0.321666i | \(-0.104243\pi\) | |||||||
\(38\) | −5.71805 | + | 2.13272i | −0.927590 | + | 0.345973i | ||||
\(39\) | −1.54105 | + | 2.39792i | −0.246765 | + | 0.383975i | ||||
\(40\) | −0.575950 | − | 2.16062i | −0.0910657 | − | 0.341624i | ||||
\(41\) | −2.35022 | − | 2.71229i | −0.367042 | − | 0.423589i | 0.541945 | − | 0.840414i | \(-0.317688\pi\) |
−0.908987 | + | 0.416825i | \(0.863143\pi\) | |||||||
\(42\) | −2.85006 | + | 1.55625i | −0.439774 | + | 0.240135i | ||||
\(43\) | −3.49433 | + | 9.36866i | −0.532880 | + | 1.42871i | 0.339838 | + | 0.940484i | \(0.389628\pi\) |
−0.872718 | + | 0.488224i | \(0.837645\pi\) | |||||||
\(44\) | 0.433789 | − | 3.01707i | 0.0653961 | − | 0.454840i | ||||
\(45\) | −1.99790 | − | 2.10076i | −0.297830 | − | 0.313163i | ||||
\(46\) | −1.36095 | − | 4.59868i | −0.200661 | − | 0.678038i | ||||
\(47\) | −1.99697 | − | 1.99697i | −0.291288 | − | 0.291288i | 0.546301 | − | 0.837589i | \(-0.316036\pi\) |
−0.837589 | + | 0.546301i | \(0.816036\pi\) | |||||||
\(48\) | −0.782162 | − | 1.04485i | −0.112895 | − | 0.150811i | ||||
\(49\) | −0.736692 | + | 0.336436i | −0.105242 | + | 0.0480623i | ||||
\(50\) | 4.50306 | − | 2.17311i | 0.636830 | − | 0.307324i | ||||
\(51\) | −4.99890 | + | 4.33157i | −0.699985 | + | 0.606541i | ||||
\(52\) | 1.91679 | + | 1.04665i | 0.265811 | + | 0.145144i | ||||
\(53\) | 2.52515 | + | 11.6079i | 0.346856 | + | 1.59447i | 0.738435 | + | 0.674325i | \(0.235565\pi\) |
−0.391579 | + | 0.920144i | \(0.628071\pi\) | |||||||
\(54\) | −5.10095 | − | 2.32953i | −0.694151 | − | 0.317008i | ||||
\(55\) | 6.80843 | − | 0.315522i | 0.918049 | − | 0.0425450i | ||||
\(56\) | 1.34511 | + | 2.09303i | 0.179748 | + | 0.279694i | ||||
\(57\) | −6.37653 | − | 4.77341i | −0.844592 | − | 0.632253i | ||||
\(58\) | 3.93674 | + | 2.94701i | 0.516920 | + | 0.386961i | ||||
\(59\) | −3.76041 | − | 5.85131i | −0.489564 | − | 0.761776i | 0.505306 | − | 0.862940i | \(-0.331380\pi\) |
−0.994870 | + | 0.101164i | \(0.967743\pi\) | |||||||
\(60\) | 1.96592 | − | 2.15698i | 0.253799 | − | 0.278465i | ||||
\(61\) | −2.41690 | − | 1.10376i | −0.309452 | − | 0.141322i | 0.254635 | − | 0.967037i | \(-0.418045\pi\) |
−0.564087 | + | 0.825715i | \(0.690772\pi\) | |||||||
\(62\) | −0.376146 | − | 1.72911i | −0.0477705 | − | 0.219598i | ||||
\(63\) | 2.83116 | + | 1.54593i | 0.356692 | + | 0.194769i | ||||
\(64\) | −0.755750 | + | 0.654861i | −0.0944687 | + | 0.0818576i | ||||
\(65\) | −1.49294 | + | 4.64962i | −0.185176 | + | 0.576714i | ||||
\(66\) | 3.61878 | − | 1.65264i | 0.445441 | − | 0.203426i | ||||
\(67\) | 5.36609 | + | 7.16826i | 0.655573 | + | 0.875743i | 0.997962 | − | 0.0638157i | \(-0.0203270\pi\) |
−0.342389 | + | 0.939558i | \(0.611236\pi\) | |||||||
\(68\) | 3.58354 | + | 3.58354i | 0.434568 | + | 0.434568i | ||||
\(69\) | 4.08894 | − | 4.73927i | 0.492251 | − | 0.570541i | ||||
\(70\) | −4.03132 | + | 3.83394i | −0.481835 | + | 0.458243i | ||||
\(71\) | 1.05444 | − | 7.33376i | 0.125138 | − | 0.870357i | −0.826456 | − | 0.563001i | \(-0.809647\pi\) |
0.951595 | − | 0.307356i | \(-0.0994442\pi\) | |||||||
\(72\) | −0.453087 | + | 1.21477i | −0.0533968 | + | 0.143162i | ||||
\(73\) | 8.78164 | − | 4.79514i | 1.02781 | − | 0.561229i | 0.125403 | − | 0.992106i | \(-0.459978\pi\) |
0.902410 | + | 0.430877i | \(0.141796\pi\) | |||||||
\(74\) | −2.01796 | − | 2.32885i | −0.234583 | − | 0.270723i | ||||
\(75\) | 5.56354 | + | 3.41087i | 0.642422 | + | 0.393854i | ||||
\(76\) | −3.29944 | + | 5.13403i | −0.378472 | + | 0.588914i | ||||
\(77\) | −7.10549 | + | 2.65021i | −0.809745 | + | 0.302019i | ||||
\(78\) | 0.203346 | + | 2.84315i | 0.0230244 | + | 0.321923i | ||||
\(79\) | 11.0765 | − | 7.11843i | 1.24620 | − | 0.800886i | 0.259869 | − | 0.965644i | \(-0.416321\pi\) |
0.986334 | + | 0.164758i | \(0.0526842\pi\) | |||||||
\(80\) | −1.75588 | − | 1.38451i | −0.196314 | − | 0.154793i | ||||
\(81\) | −0.488066 | − | 3.39458i | −0.0542296 | − | 0.377175i | ||||
\(82\) | −3.50686 | − | 0.762871i | −0.387268 | − | 0.0842450i | ||||
\(83\) | −12.5055 | + | 0.894411i | −1.37266 | + | 0.0981744i | −0.738095 | − | 0.674697i | \(-0.764274\pi\) |
−0.634562 | + | 0.772872i | \(0.718820\pi\) | |||||||
\(84\) | −1.34896 | + | 2.95382i | −0.147184 | + | 0.322288i | ||||
\(85\) | −6.36386 | + | 9.37651i | −0.690258 | + | 1.01703i | ||||
\(86\) | 2.81707 | + | 9.59408i | 0.303773 | + | 1.03456i | ||||
\(87\) | −0.457879 | + | 6.40198i | −0.0490897 | + | 0.686364i | ||||
\(88\) | −1.46079 | − | 2.67525i | −0.155721 | − | 0.285182i | ||||
\(89\) | −0.366362 | − | 0.802220i | −0.0388342 | − | 0.0850351i | 0.889221 | − | 0.457479i | \(-0.151247\pi\) |
−0.928055 | + | 0.372443i | \(0.878520\pi\) | |||||||
\(90\) | −2.85834 | − | 0.484447i | −0.301296 | − | 0.0510651i | ||||
\(91\) | − | 5.43361i | − | 0.569597i | ||||||
\(92\) | −3.84538 | − | 2.86584i | −0.400908 | − | 0.298785i | ||||
\(93\) | 1.63312 | − | 1.63312i | 0.169346 | − | 0.169346i | ||||
\(94\) | −2.79540 | − | 0.401918i | −0.288324 | − | 0.0414547i | ||||
\(95\) | −12.6623 | − | 5.08818i | −1.29912 | − | 0.522036i | ||||
\(96\) | −1.25231 | − | 0.367710i | −0.127813 | − | 0.0375293i | ||||
\(97\) | 17.4198 | + | 1.24589i | 1.76872 | + | 0.126501i | 0.917353 | − | 0.398074i | \(-0.130321\pi\) |
0.851364 | + | 0.524575i | \(0.175776\pi\) | |||||||
\(98\) | −0.388134 | + | 0.710814i | −0.0392074 | + | 0.0718031i | ||||
\(99\) | −3.32456 | − | 2.13656i | −0.334130 | − | 0.214733i | ||||
\(100\) | 2.30259 | − | 4.43825i | 0.230259 | − | 0.443825i | ||||
\(101\) | 10.4687 | − | 12.0815i | 1.04167 | − | 1.20216i | 0.0627291 | − | 0.998031i | \(-0.480020\pi\) |
0.978945 | − | 0.204125i | \(-0.0654350\pi\) | |||||||
\(102\) | −1.40601 | + | 6.46333i | −0.139216 | + | 0.639965i | ||||
\(103\) | 3.69443 | − | 4.93518i | 0.364023 | − | 0.486278i | −0.580714 | − | 0.814108i | \(-0.697226\pi\) |
0.944737 | + | 0.327830i | \(0.106317\pi\) | |||||||
\(104\) | 2.16170 | − | 0.310806i | 0.211972 | − | 0.0304770i | ||||
\(105\) | −7.05422 | − | 1.72098i | −0.688421 | − | 0.167950i | ||||
\(106\) | 8.97784 | + | 7.77935i | 0.872005 | + | 0.755597i | ||||
\(107\) | 3.02362 | + | 8.10663i | 0.292304 | + | 0.783698i | 0.997227 | + | 0.0744143i | \(0.0237087\pi\) |
−0.704923 | + | 0.709284i | \(0.749019\pi\) | |||||||
\(108\) | −5.47955 | + | 1.19200i | −0.527270 | + | 0.114701i | ||||
\(109\) | 12.7770 | − | 3.75166i | 1.22381 | − | 0.359344i | 0.394901 | − | 0.918724i | \(-0.370779\pi\) |
0.828911 | + | 0.559380i | \(0.188961\pi\) | |||||||
\(110\) | 5.26135 | − | 4.33273i | 0.501650 | − | 0.413110i | ||||
\(111\) | 1.13310 | − | 3.85899i | 0.107549 | − | 0.366279i | ||||
\(112\) | 2.33113 | + | 0.869465i | 0.220271 | + | 0.0821567i | ||||
\(113\) | −1.41726 | + | 1.06095i | −0.133325 | + | 0.0998056i | −0.663859 | − | 0.747858i | \(-0.731082\pi\) |
0.530534 | + | 0.847664i | \(0.321991\pi\) | |||||||
\(114\) | −7.96527 | −0.746016 | ||||||||
\(115\) | 4.67759 | − | 9.64988i | 0.436187 | − | 0.899856i | ||||
\(116\) | 4.91760 | 0.456588 | ||||||||
\(117\) | 2.26674 | − | 1.69686i | 0.209560 | − | 0.156875i | ||||
\(118\) | −6.51692 | − | 2.43069i | −0.599931 | − | 0.223763i | ||||
\(119\) | 3.55234 | − | 12.0981i | 0.325642 | − | 1.10904i | ||||
\(120\) | 0.281165 | − | 2.90488i | 0.0256668 | − | 0.265178i | ||||
\(121\) | −1.63990 | + | 0.481519i | −0.149082 | + | 0.0437745i | ||||
\(122\) | −2.59629 | + | 0.564787i | −0.235057 | + | 0.0511335i | ||||
\(123\) | −1.63693 | − | 4.38878i | −0.147597 | − | 0.395723i | ||||
\(124\) | −1.33734 | − | 1.15881i | −0.120097 | − | 0.104064i | ||||
\(125\) | 10.7152 | + | 3.19136i | 0.958395 | + | 0.285444i | ||||
\(126\) | 3.19290 | − | 0.459070i | 0.284446 | − | 0.0408972i | ||||
\(127\) | 2.13889 | − | 2.85722i | 0.189796 | − | 0.253537i | −0.695543 | − | 0.718485i | \(-0.744836\pi\) |
0.885338 | + | 0.464948i | \(0.153927\pi\) | |||||||
\(128\) | −0.212565 | + | 0.977147i | −0.0187883 | + | 0.0863684i | ||||
\(129\) | −8.54632 | + | 9.86298i | −0.752461 | + | 0.868387i | ||||
\(130\) | 1.59126 | + | 4.61689i | 0.139562 | + | 0.404928i | ||||
\(131\) | −0.487548 | − | 0.313328i | −0.0425973 | − | 0.0273756i | 0.519169 | − | 0.854672i | \(-0.326242\pi\) |
−0.561766 | + | 0.827296i | \(0.689878\pi\) | |||||||
\(132\) | 1.90659 | − | 3.49166i | 0.165948 | − | 0.303910i | ||||
\(133\) | 15.1451 | + | 1.08320i | 1.31325 | + | 0.0939255i | ||||
\(134\) | 8.59156 | + | 2.52271i | 0.742198 | + | 0.217929i | ||||
\(135\) | −4.92119 | − | 11.5332i | −0.423549 | − | 0.992617i | ||||
\(136\) | 5.01631 | + | 0.721236i | 0.430145 | + | 0.0618455i | ||||
\(137\) | −9.05313 | + | 9.05313i | −0.773461 | + | 0.773461i | −0.978710 | − | 0.205249i | \(-0.934200\pi\) |
0.205249 | + | 0.978710i | \(0.434200\pi\) | |||||||
\(138\) | 0.433230 | − | 6.24439i | 0.0368790 | − | 0.531558i | ||||
\(139\) | − | 13.6198i | − | 1.15522i | −0.816314 | − | 0.577608i | \(-0.803986\pi\) | ||
0.816314 | − | 0.577608i | \(-0.196014\pi\) | |||||||
\(140\) | −0.929644 | + | 5.48510i | −0.0785693 | + | 0.463576i | ||||
\(141\) | −1.53122 | − | 3.35291i | −0.128952 | − | 0.282366i | ||||
\(142\) | −3.55084 | − | 6.50287i | −0.297980 | − | 0.545709i | ||||
\(143\) | −0.474892 | + | 6.63986i | −0.0397125 | + | 0.555253i | ||||
\(144\) | 0.365271 | + | 1.24400i | 0.0304393 | + | 0.103667i | ||||
\(145\) | 2.06709 | + | 10.8001i | 0.171663 | + | 0.896896i | ||||
\(146\) | 4.15645 | − | 9.10135i | 0.343990 | − | 0.753233i | ||||
\(147\) | −1.05434 | + | 0.0754080i | −0.0869606 | + | 0.00621954i | ||||
\(148\) | −3.01109 | − | 0.655022i | −0.247510 | − | 0.0538425i | ||||
\(149\) | 0.703198 | + | 4.89085i | 0.0576083 | + | 0.400674i | 0.998140 | + | 0.0609677i | \(0.0194187\pi\) |
−0.940531 | + | 0.339707i | \(0.889672\pi\) | |||||||
\(150\) | 6.49790 | − | 0.603559i | 0.530552 | − | 0.0492804i | ||||
\(151\) | −7.13450 | + | 4.58506i | −0.580597 | + | 0.373127i | −0.797730 | − | 0.603015i | \(-0.793966\pi\) |
0.217133 | + | 0.976142i | \(0.430330\pi\) | |||||||
\(152\) | 0.435371 | + | 6.08729i | 0.0353133 | + | 0.493744i | ||||
\(153\) | 6.15634 | − | 2.29620i | 0.497711 | − | 0.185636i | ||||
\(154\) | −4.10002 | + | 6.37976i | −0.330389 | + | 0.514096i | ||||
\(155\) | 1.98284 | − | 3.42417i | 0.159266 | − | 0.275036i | ||||
\(156\) | 1.86662 | + | 2.15420i | 0.149450 | + | 0.172474i | ||||
\(157\) | 12.6803 | − | 6.92399i | 1.01200 | − | 0.552595i | 0.114415 | − | 0.993433i | \(-0.463501\pi\) |
0.897587 | + | 0.440838i | \(0.145319\pi\) | |||||||
\(158\) | 4.60127 | − | 12.3365i | 0.366058 | − | 0.981439i | ||||
\(159\) | −2.20655 | + | 15.3469i | −0.174991 | + | 1.21709i | ||||
\(160\) | −2.23536 | − | 0.0560973i | −0.176721 | − | 0.00443488i | ||||
\(161\) | −1.67292 | + | 11.8141i | −0.131845 | + | 0.931085i | ||||
\(162\) | −2.42501 | − | 2.42501i | −0.190527 | − | 0.190527i | ||||
\(163\) | −3.22123 | − | 4.30306i | −0.252306 | − | 0.337042i | 0.656450 | − | 0.754370i | \(-0.272057\pi\) |
−0.908756 | + | 0.417328i | \(0.862967\pi\) | |||||||
\(164\) | −3.26456 | + | 1.49087i | −0.254919 | + | 0.116418i | ||||
\(165\) | 8.46983 | + | 2.71956i | 0.659376 | + | 0.211717i | ||||
\(166\) | −9.47517 | + | 8.21028i | −0.735416 | + | 0.637241i | ||||
\(167\) | −11.5821 | − | 6.32430i | −0.896249 | − | 0.489389i | −0.0360516 | − | 0.999350i | \(-0.511478\pi\) |
−0.860198 | + | 0.509961i | \(0.829660\pi\) | |||||||
\(168\) | 0.690257 | + | 3.17306i | 0.0532545 | + | 0.244807i | ||||
\(169\) | 7.48667 | + | 3.41905i | 0.575898 | + | 0.263004i | ||||
\(170\) | 0.524601 | + | 11.3200i | 0.0402351 | + | 0.868205i | ||||
\(171\) | 4.27779 | + | 6.65637i | 0.327131 | + | 0.509025i | ||||
\(172\) | 8.00470 | + | 5.99224i | 0.610353 | + | 0.456904i | ||||
\(173\) | −14.0562 | − | 10.5223i | −1.06867 | − | 0.799998i | −0.0880914 | − | 0.996112i | \(-0.528077\pi\) |
−0.980581 | + | 0.196114i | \(0.937168\pi\) | |||||||
\(174\) | 3.47001 | + | 5.39944i | 0.263061 | + | 0.409331i | ||||
\(175\) | −12.4372 | + | 0.263952i | −0.940162 | + | 0.0199529i | ||||
\(176\) | −2.77264 | − | 1.26622i | −0.208996 | − | 0.0954452i | ||||
\(177\) | −1.92969 | − | 8.87064i | −0.145044 | − | 0.666758i | ||||
\(178\) | −0.774040 | − | 0.422658i | −0.0580168 | − | 0.0316795i | ||||
\(179\) | 3.98854 | − | 3.45609i | 0.298118 | − | 0.258320i | −0.492938 | − | 0.870064i | \(-0.664077\pi\) |
0.791056 | + | 0.611744i | \(0.209532\pi\) | |||||||
\(180\) | −2.57854 | + | 1.32512i | −0.192193 | + | 0.0987687i | ||||
\(181\) | −9.67381 | + | 4.41788i | −0.719048 | + | 0.328378i | −0.741115 | − | 0.671378i | \(-0.765703\pi\) |
0.0220666 | + | 0.999757i | \(0.492975\pi\) | |||||||
\(182\) | −3.25624 | − | 4.34983i | −0.241369 | − | 0.322431i | ||||
\(183\) | −2.45215 | − | 2.45215i | −0.181268 | − | 0.181268i | ||||
\(184\) | −4.79582 | + | 0.0102236i | −0.353553 | + | 0.000753692i | ||||
\(185\) | 0.172864 | − | 6.88829i | 0.0127092 | − | 0.506437i | ||||
\(186\) | 0.328687 | − | 2.28607i | 0.0241005 | − | 0.167623i | ||||
\(187\) | −5.39831 | + | 14.4734i | −0.394764 | + | 1.05840i | ||||
\(188\) | −2.47869 | + | 1.35347i | −0.180777 | + | 0.0987119i | ||||
\(189\) | 9.13659 | + | 10.5442i | 0.664589 | + | 0.766976i | ||||
\(190\) | −13.1859 | + | 3.51493i | −0.956607 | + | 0.255000i | ||||
\(191\) | −2.14804 | + | 3.34241i | −0.155426 | + | 0.241848i | −0.910230 | − | 0.414102i | \(-0.864096\pi\) |
0.754804 | + | 0.655950i | \(0.227732\pi\) | |||||||
\(192\) | −1.22288 | + | 0.456112i | −0.0882540 | + | 0.0329170i | ||||
\(193\) | 1.12307 | + | 15.7025i | 0.0808401 | + | 1.13029i | 0.862321 | + | 0.506363i | \(0.169010\pi\) |
−0.781480 | + | 0.623930i | \(0.785535\pi\) | |||||||
\(194\) | 14.6919 | − | 9.44194i | 1.05482 | − | 0.677891i | ||||
\(195\) | −3.94643 | + | 5.00499i | −0.282610 | + | 0.358415i | ||||
\(196\) | 0.115258 | + | 0.801636i | 0.00823270 | + | 0.0572597i | ||||
\(197\) | 15.3802 | + | 3.34575i | 1.09579 | + | 0.238375i | 0.723903 | − | 0.689902i | \(-0.242346\pi\) |
0.371890 | + | 0.928277i | \(0.378710\pi\) | |||||||
\(198\) | −3.94184 | + | 0.281926i | −0.280134 | + | 0.0200356i | ||||
\(199\) | 3.43839 | − | 7.52902i | 0.243741 | − | 0.533718i | −0.747737 | − | 0.663995i | \(-0.768860\pi\) |
0.991478 | + | 0.130277i | \(0.0415868\pi\) | |||||||
\(200\) | −0.816424 | − | 4.93289i | −0.0577299 | − | 0.348808i | ||||
\(201\) | 3.29258 | + | 11.2135i | 0.232240 | + | 0.790938i | ||||
\(202\) | 1.14044 | − | 15.9454i | 0.0802409 | − | 1.12191i | ||||
\(203\) | −5.86360 | − | 10.7384i | −0.411544 | − | 0.753686i | ||||
\(204\) | 2.74776 | + | 6.01675i | 0.192381 | + | 0.421257i | ||||
\(205\) | −4.64651 | − | 6.54295i | −0.324526 | − | 0.456980i | ||||
\(206\) | − | 6.16480i | − | 0.429522i | ||||||
\(207\) | −5.45094 | + | 2.99154i | −0.378867 | + | 0.207927i | ||||
\(208\) | 1.54427 | − | 1.54427i | 0.107076 | − | 0.107076i | ||||
\(209\) | −18.4127 | − | 2.64734i | −1.27363 | − | 0.183120i | ||||
\(210\) | −6.67854 | + | 2.84973i | −0.460863 | + | 0.196650i | ||||
\(211\) | 15.6941 | + | 4.60820i | 1.08043 | + | 0.317242i | 0.773049 | − | 0.634346i | \(-0.218731\pi\) |
0.307376 | + | 0.951588i | \(0.400549\pi\) | |||||||
\(212\) | 11.8491 | + | 0.847466i | 0.813801 | + | 0.0582042i | ||||
\(213\) | 4.63446 | − | 8.48739i | 0.317548 | − | 0.581546i | ||||
\(214\) | 7.27866 | + | 4.67771i | 0.497559 | + | 0.319762i | ||||
\(215\) | −9.79545 | + | 20.0988i | −0.668044 | + | 1.37072i | ||||
\(216\) | −3.67227 | + | 4.23802i | −0.249866 | + | 0.288361i | ||||
\(217\) | −0.935849 | + | 4.30203i | −0.0635295 | + | 0.292041i | ||||
\(218\) | 7.98021 | − | 10.6603i | 0.540488 | − | 0.722007i | ||||
\(219\) | 12.9260 | − | 1.85848i | 0.873461 | − | 0.125585i | ||||
\(220\) | 1.61542 | − | 6.62154i | 0.108911 | − | 0.446424i | ||||
\(221\) | −8.36459 | − | 7.24796i | −0.562663 | − | 0.487550i | ||||
\(222\) | −1.40551 | − | 3.76833i | −0.0943318 | − | 0.252913i | ||||
\(223\) | −0.673756 | + | 0.146567i | −0.0451180 | + | 0.00981483i | −0.235068 | − | 0.971979i | \(-0.575531\pi\) |
0.189950 | + | 0.981794i | \(0.439168\pi\) | |||||||
\(224\) | 2.38721 | − | 0.700949i | 0.159502 | − | 0.0468341i | ||||
\(225\) | −3.99411 | − | 5.10599i | −0.266274 | − | 0.340399i | ||||
\(226\) | −0.498773 | + | 1.69867i | −0.0331779 | + | 0.112994i | ||||
\(227\) | 0.0445550 | + | 0.0166181i | 0.00295722 | + | 0.00110298i | 0.350942 | − | 0.936397i | \(-0.385861\pi\) |
−0.347985 | + | 0.937500i | \(0.613134\pi\) | |||||||
\(228\) | −6.37653 | + | 4.77341i | −0.422296 | + | 0.316127i | ||||
\(229\) | −28.5127 | −1.88417 | −0.942087 | − | 0.335370i | \(-0.891139\pi\) | ||||
−0.942087 | + | 0.335370i | \(0.891139\pi\) | |||||||
\(230\) | −2.03835 | − | 10.5283i | −0.134405 | − | 0.694216i | ||||
\(231\) | −9.89797 | −0.651239 | ||||||||
\(232\) | 3.93674 | − | 2.94701i | 0.258460 | − | 0.193481i | ||||
\(233\) | −8.20511 | − | 3.06035i | −0.537535 | − | 0.200490i | 0.0660104 | − | 0.997819i | \(-0.478973\pi\) |
−0.603545 | + | 0.797329i | \(0.706246\pi\) | |||||||
\(234\) | 0.797728 | − | 2.71681i | 0.0521491 | − | 0.177604i | ||||
\(235\) | −4.01440 | − | 4.87479i | −0.261871 | − | 0.317996i | ||||
\(236\) | −6.67372 | + | 1.95958i | −0.434422 | + | 0.127558i | ||||
\(237\) | 16.7921 | − | 3.65289i | 1.09076 | − | 0.237281i | ||||
\(238\) | −4.40636 | − | 11.8139i | −0.285622 | − | 0.765781i | ||||
\(239\) | 21.5819 | + | 18.7008i | 1.39601 | + | 1.20965i | 0.949059 | + | 0.315098i | \(0.102037\pi\) |
0.446956 | + | 0.894556i | \(0.352508\pi\) | |||||||
\(240\) | −1.51575 | − | 2.49398i | −0.0978411 | − | 0.160985i | ||||
\(241\) | −28.8077 | + | 4.14193i | −1.85567 | + | 0.266805i | −0.977406 | − | 0.211372i | \(-0.932207\pi\) |
−0.878264 | + | 0.478177i | \(0.841298\pi\) | |||||||
\(242\) | −1.02425 | + | 1.36823i | −0.0658411 | + | 0.0879534i | ||||
\(243\) | −2.62455 | + | 12.0649i | −0.168365 | + | 0.773962i | ||||
\(244\) | −1.73997 | + | 2.00803i | −0.111390 | + | 0.128551i | ||||
\(245\) | −1.71211 | + | 0.590094i | −0.109383 | + | 0.0376997i | ||||
\(246\) | −3.94053 | − | 2.53242i | −0.251239 | − | 0.161461i | ||||
\(247\) | 6.38752 | − | 11.6979i | 0.406428 | − | 0.744317i | ||||
\(248\) | −1.76504 | − | 0.126238i | −0.112080 | − | 0.00801615i | ||||
\(249\) | −15.7007 | − | 4.61015i | −0.994993 | − | 0.292156i | ||||
\(250\) | 10.4905 | − | 3.86655i | 0.663475 | − | 0.244542i | ||||
\(251\) | −16.0177 | − | 2.30299i | −1.01103 | − | 0.145364i | −0.383157 | − | 0.923683i | \(-0.625163\pi\) |
−0.627868 | + | 0.778320i | \(0.716072\pi\) | |||||||
\(252\) | 2.28094 | − | 2.28094i | 0.143686 | − | 0.143686i | ||||
\(253\) | 3.07685 | − | 14.2907i | 0.193440 | − | 0.898446i | ||||
\(254\) | − | 3.56911i | − | 0.223946i | ||||||
\(255\) | −12.0590 | + | 8.56375i | −0.755164 | + | 0.536283i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | 0.681514 | + | 1.24810i | 0.0425117 | + | 0.0778543i | 0.898071 | − | 0.439850i | \(-0.144968\pi\) |
−0.855559 | + | 0.517705i | \(0.826787\pi\) | |||||||
\(258\) | −0.931018 | + | 13.0173i | −0.0579627 | + | 0.810424i | ||||
\(259\) | 2.15998 | + | 7.35622i | 0.134215 | + | 0.457093i | ||||
\(260\) | 4.04067 | + | 2.74241i | 0.250592 | + | 0.170077i | ||||
\(261\) | 2.64859 | − | 5.79960i | 0.163943 | − | 0.358986i | ||||
\(262\) | −0.578073 | + | 0.0413446i | −0.0357135 | + | 0.00255428i | ||||
\(263\) | −22.5616 | − | 4.90798i | −1.39121 | − | 0.302639i | −0.546318 | − | 0.837578i | \(-0.683971\pi\) |
−0.844891 | + | 0.534939i | \(0.820334\pi\) | |||||||
\(264\) | −0.566170 | − | 3.93780i | −0.0348454 | − | 0.242355i | ||||
\(265\) | 3.11952 | + | 26.3793i | 0.191630 | + | 1.62047i | ||||
\(266\) | 12.7734 | − | 8.20900i | 0.783190 | − | 0.503326i | ||||
\(267\) | −0.0821154 | − | 1.14812i | −0.00502538 | − | 0.0702640i | ||||
\(268\) | 8.38970 | − | 3.12920i | 0.512483 | − | 0.191146i | ||||
\(269\) | −9.56131 | + | 14.8777i | −0.582963 | + | 0.907109i | −0.999998 | − | 0.00178176i | \(-0.999433\pi\) |
0.417035 | + | 0.908890i | \(0.363069\pi\) | |||||||
\(270\) | −10.8512 | − | 6.28361i | −0.660382 | − | 0.382409i | ||||
\(271\) | 17.7962 | + | 20.5379i | 1.08104 | + | 1.24759i | 0.967181 | + | 0.254090i | \(0.0817760\pi\) |
0.113860 | + | 0.993497i | \(0.463679\pi\) | |||||||
\(272\) | 4.44798 | − | 2.42878i | 0.269699 | − | 0.147267i | ||||
\(273\) | 2.47834 | − | 6.64467i | 0.149996 | − | 0.402154i | ||||
\(274\) | −1.82206 | + | 12.6727i | −0.110075 | + | 0.765588i | ||||
\(275\) | 15.2213 | + | 0.764449i | 0.917877 | + | 0.0460980i | ||||
\(276\) | −3.39530 | − | 5.25852i | −0.204373 | − | 0.316525i | ||||
\(277\) | 7.69809 | + | 7.69809i | 0.462533 | + | 0.462533i | 0.899485 | − | 0.436952i | \(-0.143942\pi\) |
−0.436952 | + | 0.899485i | \(0.643942\pi\) | |||||||
\(278\) | −8.16204 | − | 10.9032i | −0.489526 | − | 0.653931i | ||||
\(279\) | −2.08693 | + | 0.953070i | −0.124941 | + | 0.0570588i | ||||
\(280\) | 2.54288 | + | 4.94817i | 0.151966 | + | 0.295710i | ||||
\(281\) | −7.00710 | + | 6.07169i | −0.418009 | + | 0.362206i | −0.838325 | − | 0.545171i | \(-0.816465\pi\) |
0.420316 | + | 0.907378i | \(0.361919\pi\) | |||||||
\(282\) | −3.23513 | − | 1.76651i | −0.192649 | − | 0.105194i | ||||
\(283\) | 3.22653 | + | 14.8321i | 0.191797 | + | 0.881678i | 0.967952 | + | 0.251136i | \(0.0808040\pi\) |
−0.776155 | + | 0.630543i | \(0.782832\pi\) | |||||||
\(284\) | −6.73962 | − | 3.07788i | −0.399923 | − | 0.182639i | ||||
\(285\) | −13.1637 | − | 11.9977i | −0.779751 | − | 0.710681i | ||||
\(286\) | 3.59895 | + | 5.60008i | 0.212810 | + | 0.331140i | ||||
\(287\) | 7.14812 | + | 5.35102i | 0.421940 | + | 0.315861i | ||||
\(288\) | 1.03792 | + | 0.776975i | 0.0611598 | + | 0.0457837i | ||||
\(289\) | −4.69468 | − | 7.30506i | −0.276158 | − | 0.429710i | ||||
\(290\) | 8.12703 | + | 7.40713i | 0.477235 | + | 0.434962i | ||||
\(291\) | 20.7342 | + | 9.46898i | 1.21546 | + | 0.555081i | ||||
\(292\) | −2.12683 | − | 9.77687i | −0.124463 | − | 0.572148i | ||||
\(293\) | 17.7410 | + | 9.68731i | 1.03644 | + | 0.565939i | 0.905012 | − | 0.425387i | \(-0.139862\pi\) |
0.131428 | + | 0.991326i | \(0.458044\pi\) | |||||||
\(294\) | −0.798853 | + | 0.692210i | −0.0465901 | + | 0.0403705i | ||||
\(295\) | −7.10891 | − | 13.8331i | −0.413897 | − | 0.805397i | ||||
\(296\) | −2.80304 | + | 1.28010i | −0.162923 | + | 0.0744046i | ||||
\(297\) | −10.2433 | − | 13.6835i | −0.594379 | − | 0.793997i | ||||
\(298\) | 3.49392 | + | 3.49392i | 0.202397 | + | 0.202397i | ||||
\(299\) | 8.82315 | + | 5.64375i | 0.510256 | + | 0.326387i | ||||
\(300\) | 4.84014 | − | 4.37722i | 0.279446 | − | 0.252719i | ||||
\(301\) | 3.54047 | − | 24.6245i | 0.204069 | − | 1.41933i | ||||
\(302\) | −2.96373 | + | 7.94608i | −0.170544 | + | 0.457245i | ||||
\(303\) | 18.3125 | − | 9.99939i | 1.05203 | − | 0.574450i | ||||
\(304\) | 3.99651 | + | 4.61222i | 0.229215 | + | 0.264529i | ||||
\(305\) | −5.14143 | − | 2.97726i | −0.294398 | − | 0.170477i | ||||
\(306\) | 3.55234 | − | 5.52756i | 0.203074 | − | 0.315989i | ||||
\(307\) | −21.2270 | + | 7.91725i | −1.21149 | + | 0.451861i | −0.872353 | − | 0.488877i | \(-0.837407\pi\) |
−0.339134 | + | 0.940738i | \(0.610134\pi\) | |||||||
\(308\) | 0.541011 | + | 7.56432i | 0.0308269 | + | 0.431017i | ||||
\(309\) | 6.76885 | − | 4.35007i | 0.385066 | − | 0.247467i | ||||
\(310\) | −0.464683 | − | 3.92946i | −0.0263922 | − | 0.223178i | ||||
\(311\) | −0.533938 | − | 3.71362i | −0.0302768 | − | 0.210580i | 0.969067 | − | 0.246797i | \(-0.0793782\pi\) |
−0.999344 | + | 0.0362174i | \(0.988469\pi\) | |||||||
\(312\) | 2.78527 | + | 0.605899i | 0.157685 | + | 0.0343023i | ||||
\(313\) | −12.4297 | + | 0.888986i | −0.702565 | + | 0.0502485i | −0.418051 | − | 0.908423i | \(-0.637287\pi\) |
−0.284514 | + | 0.958672i | \(0.591832\pi\) | |||||||
\(314\) | 6.00174 | − | 13.1420i | 0.338698 | − | 0.741645i | ||||
\(315\) | 5.96818 | + | 4.05062i | 0.336269 | + | 0.228227i | ||||
\(316\) | −3.70948 | − | 12.6333i | −0.208674 | − | 0.710679i | ||||
\(317\) | 0.995962 | − | 13.9254i | 0.0559388 | − | 0.782126i | −0.889625 | − | 0.456691i | \(-0.849035\pi\) |
0.945564 | − | 0.325435i | \(-0.105511\pi\) | |||||||
\(318\) | 7.43060 | + | 13.6081i | 0.416688 | + | 0.763106i | ||||
\(319\) | 6.22678 | + | 13.6348i | 0.348633 | + | 0.763400i | ||||
\(320\) | −1.82312 | + | 1.29470i | −0.101915 | + | 0.0723757i | ||||
\(321\) | 11.2926i | 0.630290i | ||||||||
\(322\) | 5.74071 | + | 10.4603i | 0.319917 | + | 0.582927i | ||||
\(323\) | 21.8698 | − | 21.8698i | 1.21687 | − | 1.21687i | ||||
\(324\) | −3.39458 | − | 0.488066i | −0.188588 | − | 0.0271148i | ||||
\(325\) | −4.32441 | + | 10.0269i | −0.239875 | + | 0.556192i | ||||
\(326\) | −5.15746 | − | 1.51437i | −0.285645 | − | 0.0838730i | ||||
\(327\) | 17.3359 | + | 1.23989i | 0.958679 | + | 0.0685660i | ||||
\(328\) | −1.71997 | + | 3.14988i | −0.0949693 | + | 0.173923i | ||||
\(329\) | 5.91104 | + | 3.79879i | 0.325886 | + | 0.209434i | ||||
\(330\) | 8.41022 | − | 2.89866i | 0.462967 | − | 0.159566i | ||||
\(331\) | −1.98627 | + | 2.29227i | −0.109175 | + | 0.125995i | −0.807707 | − | 0.589584i | \(-0.799292\pi\) |
0.698532 | + | 0.715579i | \(0.253837\pi\) | |||||||
\(332\) | −2.66503 | + | 12.2509i | −0.146262 | + | 0.672357i | ||||
\(333\) | −2.39425 | + | 3.19835i | −0.131204 | + | 0.175268i | ||||
\(334\) | −13.0620 | + | 1.87803i | −0.714718 | + | 0.102761i | ||||
\(335\) | 10.3989 | + | 17.1101i | 0.568154 | + | 0.934827i | ||||
\(336\) | 2.45412 | + | 2.12651i | 0.133883 | + | 0.116011i | ||||
\(337\) | −4.58023 | − | 12.2801i | −0.249501 | − | 0.668939i | −0.999968 | − | 0.00803015i | \(-0.997444\pi\) |
0.750467 | − | 0.660908i | \(-0.229829\pi\) | |||||||
\(338\) | 8.04235 | − | 1.74951i | 0.437446 | − | 0.0951606i | ||||
\(339\) | −2.21706 | + | 0.650986i | −0.120414 | + | 0.0353567i | ||||
\(340\) | 7.20379 | + | 8.74775i | 0.390680 | + | 0.474413i | ||||
\(341\) | 1.51960 | − | 5.17528i | 0.0822908 | − | 0.280257i | ||||
\(342\) | 7.41356 | + | 2.76511i | 0.400879 | + | 0.149520i | ||||
\(343\) | 15.5553 | − | 11.6445i | 0.839906 | − | 0.628746i | ||||
\(344\) | 9.99911 | 0.539116 | ||||||||
\(345\) | 10.1216 | − | 9.66717i | 0.544927 | − | 0.520463i | ||||
\(346\) | −17.5584 | −0.943943 | ||||||||
\(347\) | −7.88816 | + | 5.90500i | −0.423459 | + | 0.316997i | −0.789667 | − | 0.613536i | \(-0.789747\pi\) |
0.366208 | + | 0.930533i | \(0.380656\pi\) | |||||||
\(348\) | 6.01365 | + | 2.24298i | 0.322366 | + | 0.120236i | ||||
\(349\) | 5.34908 | − | 18.2173i | 0.286330 | − | 0.975149i | −0.683212 | − | 0.730220i | \(-0.739417\pi\) |
0.969541 | − | 0.244928i | \(-0.0787644\pi\) | |||||||
\(350\) | −9.79829 | + | 7.66463i | −0.523741 | + | 0.409691i | ||||
\(351\) | 11.7508 | − | 3.45034i | 0.627210 | − | 0.184165i | ||||
\(352\) | −2.97843 | + | 0.647919i | −0.158751 | + | 0.0345342i | ||||
\(353\) | −11.0680 | − | 29.6745i | −0.589091 | − | 1.57941i | −0.798765 | − | 0.601643i | \(-0.794513\pi\) |
0.209674 | − | 0.977771i | \(-0.432760\pi\) | |||||||
\(354\) | −6.86077 | − | 5.94489i | −0.364646 | − | 0.315967i | ||||
\(355\) | 3.92668 | − | 16.0953i | 0.208407 | − | 0.854252i | ||||
\(356\) | −0.872940 | + | 0.125510i | −0.0462657 | + | 0.00665201i | ||||
\(357\) | 9.86220 | − | 13.1744i | 0.521963 | − | 0.697261i | ||||
\(358\) | 1.12183 | − | 5.15699i | 0.0592907 | − | 0.272555i | ||||
\(359\) | 21.2634 | − | 24.5393i | 1.12224 | − | 1.29514i | 0.171488 | − | 0.985186i | \(-0.445143\pi\) |
0.950753 | − | 0.309949i | \(-0.100312\pi\) | |||||||
\(360\) | −1.27011 | + | 2.60607i | −0.0669407 | + | 0.137352i | ||||
\(361\) | 15.3483 | + | 9.86378i | 0.807808 | + | 0.519146i | ||||
\(362\) | −5.09675 | + | 9.33399i | −0.267879 | + | 0.490584i | ||||
\(363\) | −2.22504 | − | 0.159138i | −0.116784 | − | 0.00835257i | ||||
\(364\) | −5.21351 | − | 1.53083i | −0.273262 | − | 0.0802371i | ||||
\(365\) | 20.5780 | − | 8.78061i | 1.07710 | − | 0.459598i | ||||
\(366\) | −3.43256 | − | 0.493528i | −0.179423 | − | 0.0257971i | ||||
\(367\) | −3.53259 | + | 3.53259i | −0.184399 | + | 0.184399i | −0.793270 | − | 0.608870i | \(-0.791623\pi\) |
0.608870 | + | 0.793270i | \(0.291623\pi\) | |||||||
\(368\) | −3.83313 | + | 2.88221i | −0.199815 | + | 0.150246i | ||||
\(369\) | 4.65305i | 0.242228i | ||||||||
\(370\) | −3.98962 | − | 5.61796i | −0.207410 | − | 0.292064i | ||||
\(371\) | −12.2780 | − | 26.8850i | −0.637439 | − | 1.39580i | ||||
\(372\) | −1.10686 | − | 2.02707i | −0.0573881 | − | 0.105099i | ||||
\(373\) | 1.07249 | − | 14.9954i | 0.0555316 | − | 0.776433i | −0.891037 | − | 0.453930i | \(-0.850021\pi\) |
0.946569 | − | 0.322502i | \(-0.104524\pi\) | |||||||
\(374\) | 4.35204 | + | 14.8217i | 0.225038 | + | 0.766411i | ||||
\(375\) | 11.6478 | + | 8.78999i | 0.601490 | + | 0.453913i | ||||
\(376\) | −1.17319 | + | 2.56893i | −0.0605028 | + | 0.132483i | ||||
\(377\) | −10.7123 | + | 0.766162i | −0.551714 | + | 0.0394594i | ||||
\(378\) | 13.6331 | + | 2.96570i | 0.701211 | + | 0.152539i | ||||
\(379\) | 1.48550 | + | 10.3319i | 0.0763050 | + | 0.530713i | 0.991742 | + | 0.128251i | \(0.0409363\pi\) |
−0.915437 | + | 0.402462i | \(0.868155\pi\) | |||||||
\(380\) | −8.44945 | + | 10.7159i | −0.433448 | + | 0.549712i | ||||
\(381\) | 3.91882 | − | 2.51847i | 0.200767 | − | 0.129025i | ||||
\(382\) | 0.283440 | + | 3.96301i | 0.0145020 | + | 0.202765i | ||||
\(383\) | −11.0848 | + | 4.13441i | −0.566406 | + | 0.211259i | −0.616321 | − | 0.787495i | \(-0.711378\pi\) |
0.0499150 | + | 0.998753i | \(0.484105\pi\) | |||||||
\(384\) | −0.705631 | + | 1.09798i | −0.0360091 | + | 0.0560312i | ||||
\(385\) | −16.3854 | + | 4.36780i | −0.835076 | + | 0.222603i | ||||
\(386\) | 10.3092 | + | 11.8975i | 0.524726 | + | 0.605566i | ||||
\(387\) | 11.3783 | − | 6.21300i | 0.578389 | − | 0.315824i | ||||
\(388\) | 6.10316 | − | 16.3632i | 0.309841 | − | 0.830716i | ||||
\(389\) | −4.84163 | + | 33.6743i | −0.245480 | + | 1.70735i | 0.378241 | + | 0.925707i | \(0.376529\pi\) |
−0.623721 | + | 0.781647i | \(0.714380\pi\) | |||||||
\(390\) | −0.159901 | + | 6.37171i | −0.00809688 | + | 0.322644i | ||||
\(391\) | 15.9554 | + | 18.3343i | 0.806897 | + | 0.927208i | ||||
\(392\) | 0.572671 | + | 0.572671i | 0.0289243 | + | 0.0289243i | ||||
\(393\) | −0.453302 | − | 0.605541i | −0.0228661 | − | 0.0305455i | ||||
\(394\) | 14.3175 | − | 6.53858i | 0.721305 | − | 0.329409i | ||||
\(395\) | 26.1861 | − | 13.4571i | 1.31756 | − | 0.677101i | ||||
\(396\) | −2.98665 | + | 2.58795i | −0.150085 | + | 0.130049i | ||||
\(397\) | 11.1906 | + | 6.11051i | 0.561638 | + | 0.306678i | 0.734875 | − | 0.678203i | \(-0.237241\pi\) |
−0.173237 | + | 0.984880i | \(0.555423\pi\) | |||||||
\(398\) | −1.75940 | − | 8.08784i | −0.0881908 | − | 0.405407i | ||||
\(399\) | 18.0267 | + | 8.23251i | 0.902463 | + | 0.412141i | ||||
\(400\) | −3.60975 | − | 3.45972i | −0.180488 | − | 0.172986i | ||||
\(401\) | −18.0058 | − | 28.0176i | −0.899169 | − | 1.39913i | −0.916825 | − | 0.399290i | \(-0.869257\pi\) |
0.0176554 | − | 0.999844i | \(-0.494380\pi\) | |||||||
\(402\) | 9.35584 | + | 7.00369i | 0.466627 | + | 0.349312i | ||||
\(403\) | 3.09376 | + | 2.31596i | 0.154111 | + | 0.115366i | ||||
\(404\) | −8.64276 | − | 13.4484i | −0.429993 | − | 0.669083i | ||||
\(405\) | −0.355002 | − | 7.66034i | −0.0176402 | − | 0.380645i | ||||
\(406\) | −11.1293 | − | 5.08259i | −0.552339 | − | 0.252245i | ||||
\(407\) | −1.99657 | − | 9.17807i | −0.0989661 | − | 0.454940i | ||||
\(408\) | 5.80540 | + | 3.16999i | 0.287410 | + | 0.156938i | ||||
\(409\) | −3.95942 | + | 3.43086i | −0.195781 | + | 0.169645i | −0.747234 | − | 0.664561i | \(-0.768619\pi\) |
0.551454 | + | 0.834205i | \(0.314073\pi\) | |||||||
\(410\) | −7.64076 | − | 2.45336i | −0.377350 | − | 0.121163i | ||||
\(411\) | −15.2002 | + | 6.94168i | −0.749768 | + | 0.342408i | ||||
\(412\) | −3.69443 | − | 4.93518i | −0.182011 | − | 0.243139i | ||||
\(413\) | 12.2366 | + | 12.2366i | 0.602124 | + | 0.602124i | ||||
\(414\) | −2.57094 | + | 5.66148i | −0.126355 | + | 0.278247i | ||||
\(415\) | −28.0258 | − | 0.703317i | −1.37573 | − | 0.0345245i | ||||
\(416\) | 0.310806 | − | 2.16170i | 0.0152385 | − | 0.105986i | ||||
\(417\) | 6.21215 | − | 16.6554i | 0.304210 | − | 0.815619i | ||||
\(418\) | −16.3266 | + | 8.91499i | −0.798560 | + | 0.436047i | ||||
\(419\) | −1.32065 | − | 1.52411i | −0.0645181 | − | 0.0744579i | 0.722573 | − | 0.691295i | \(-0.242959\pi\) |
−0.787091 | + | 0.616837i | \(0.788414\pi\) | |||||||
\(420\) | −3.63867 | + | 6.28362i | −0.177549 | + | 0.306609i | ||||
\(421\) | 8.51535 | − | 13.2501i | 0.415013 | − | 0.645772i | −0.569316 | − | 0.822119i | \(-0.692792\pi\) |
0.984328 | + | 0.176347i | \(0.0564281\pi\) | |||||||
\(422\) | 15.3254 | − | 5.71606i | 0.746027 | − | 0.278254i | ||||
\(423\) | 0.261213 | + | 3.65223i | 0.0127006 | + | 0.177577i | ||||
\(424\) | 9.99358 | − | 6.42248i | 0.485331 | − | 0.311903i | ||||
\(425\) | −16.1838 | + | 19.4981i | −0.785027 | + | 0.945795i | ||||
\(426\) | −1.37622 | − | 9.57184i | −0.0666782 | − | 0.463757i | ||||
\(427\) | 6.45955 | + | 1.40519i | 0.312599 | + | 0.0680018i | ||||
\(428\) | 8.63011 | − | 0.617238i | 0.417152 | − | 0.0298353i | ||||
\(429\) | −3.60926 | + | 7.90318i | −0.174257 | + | 0.381569i | ||||
\(430\) | 4.20308 | + | 21.9601i | 0.202691 | + | 1.05901i | ||||
\(431\) | 3.79095 | + | 12.9108i | 0.182603 | + | 0.621890i | 0.999013 | + | 0.0444170i | \(0.0141430\pi\) |
−0.816410 | + | 0.577473i | \(0.804039\pi\) | |||||||
\(432\) | −0.400049 | + | 5.59342i | −0.0192474 | + | 0.269114i | ||||
\(433\) | −4.97063 | − | 9.10303i | −0.238873 | − | 0.437464i | 0.730550 | − | 0.682860i | \(-0.239264\pi\) |
−0.969423 | + | 0.245396i | \(0.921082\pi\) | |||||||
\(434\) | 1.82892 | + | 4.00478i | 0.0877911 | + | 0.192236i | ||||
\(435\) | −2.39822 | + | 14.1500i | −0.114986 | + | 0.678442i | ||||
\(436\) | − | 13.3164i | − | 0.637739i | ||||||
\(437\) | −17.4898 | + | 23.4677i | −0.836649 | + | 1.12261i | ||||
\(438\) | 9.23408 | − | 9.23408i | 0.441221 | − | 0.441221i | ||||
\(439\) | −37.5961 | − | 5.40551i | −1.79437 | − | 0.257991i | −0.837069 | − | 0.547098i | \(-0.815733\pi\) |
−0.957297 | + | 0.289107i | \(0.906642\pi\) | |||||||
\(440\) | −2.67493 | − | 6.26890i | −0.127522 | − | 0.298858i | ||||
\(441\) | 1.00749 | + | 0.295826i | 0.0479757 | + | 0.0140869i | ||||
\(442\) | −11.0397 | − | 0.789578i | −0.525107 | − | 0.0375564i | ||||
\(443\) | −16.1623 | + | 29.5990i | −0.767892 | + | 1.40629i | 0.141323 | + | 0.989964i | \(0.454864\pi\) |
−0.909215 | + | 0.416326i | \(0.863318\pi\) | |||||||
\(444\) | −3.38344 | − | 2.17441i | −0.160571 | − | 0.103193i | ||||
\(445\) | −0.642582 | − | 1.86440i | −0.0304613 | − | 0.0883809i | ||||
\(446\) | −0.451535 | + | 0.521099i | −0.0213808 | + | 0.0246748i | ||||
\(447\) | −1.37085 | + | 6.30168i | −0.0648388 | + | 0.298059i | ||||
\(448\) | 1.49100 | − | 1.99174i | 0.0704431 | − | 0.0941010i | ||||
\(449\) | −34.6147 | + | 4.97684i | −1.63357 | + | 0.234872i | −0.897173 | − | 0.441680i | \(-0.854383\pi\) |
−0.736395 | + | 0.676551i | \(0.763474\pi\) | |||||||
\(450\) | −6.25735 | − | 1.69397i | −0.294974 | − | 0.0798545i | ||||
\(451\) | −8.26732 | − | 7.16367i | −0.389293 | − | 0.337324i | ||||
\(452\) | 0.618684 | + | 1.65876i | 0.0291004 | + | 0.0780213i | ||||
\(453\) | −10.8160 | + | 2.35287i | −0.508178 | + | 0.110547i | ||||
\(454\) | 0.0456270 | − | 0.0133973i | 0.00214138 | − | 0.000628766i | ||||
\(455\) | 1.17053 | − | 12.0934i | 0.0548752 | − | 0.566948i | ||||
\(456\) | −2.24408 | + | 7.64262i | −0.105088 | + | 0.357898i | ||||
\(457\) | −30.7838 | − | 11.4818i | −1.44001 | − | 0.537094i | −0.496379 | − | 0.868106i | \(-0.665337\pi\) |
−0.943627 | + | 0.331012i | \(0.892610\pi\) | |||||||
\(458\) | −22.8256 | + | 17.0870i | −1.06657 | + | 0.798425i | ||||
\(459\) | 28.4193 | 1.32650 | ||||||||
\(460\) | −7.94116 | − | 7.20680i | −0.370259 | − | 0.336019i | ||||
\(461\) | 34.0748 | 1.58702 | 0.793512 | − | 0.608555i | \(-0.208250\pi\) | ||||
0.793512 | + | 0.608555i | \(0.208250\pi\) | |||||||
\(462\) | −7.92374 | + | 5.93163i | −0.368646 | + | 0.275965i | ||||
\(463\) | −12.2705 | − | 4.57667i | −0.570259 | − | 0.212696i | 0.0477598 | − | 0.998859i | \(-0.484792\pi\) |
−0.618019 | + | 0.786163i | \(0.712065\pi\) | |||||||
\(464\) | 1.38545 | − | 4.71841i | 0.0643179 | − | 0.219046i | ||||
\(465\) | 3.98659 | − | 3.28296i | 0.184874 | − | 0.152244i | ||||
\(466\) | −8.40253 | + | 2.46720i | −0.389240 | + | 0.114291i | ||||
\(467\) | −9.70739 | + | 2.11171i | −0.449204 | + | 0.0977184i | −0.431476 | − | 0.902124i | \(-0.642007\pi\) |
−0.0177284 | + | 0.999843i | \(0.505643\pi\) | |||||||
\(468\) | −0.989511 | − | 2.65298i | −0.0457402 | − | 0.122634i | ||||
\(469\) | −16.8367 | − | 14.5891i | −0.777448 | − | 0.673662i | ||||
\(470\) | −6.13505 | − | 1.49673i | −0.282989 | − | 0.0690390i | ||||
\(471\) | 18.6647 | − | 2.68358i | 0.860024 | − | 0.123653i | ||||
\(472\) | −4.16826 | + | 5.56814i | −0.191860 | + | 0.256294i | ||||
\(473\) | −6.47861 | + | 29.7817i | −0.297887 | + | 1.36936i | ||||
\(474\) | 11.2536 | − | 12.9874i | 0.516897 | − | 0.596531i | ||||
\(475\) | −27.0859 | − | 14.0523i | −1.24279 | − | 0.644766i | ||||
\(476\) | −10.6073 | − | 6.81688i | −0.486184 | − | 0.312451i | ||||
\(477\) | 7.38132 | − | 13.5179i | 0.337968 | − | 0.618941i | ||||
\(478\) | 28.4841 | + | 2.03723i | 1.30283 | + | 0.0931805i | ||||
\(479\) | 4.10224 | + | 1.20453i | 0.187436 | + | 0.0550362i | 0.374103 | − | 0.927387i | \(-0.377950\pi\) |
−0.186667 | + | 0.982423i | \(0.559769\pi\) | |||||||
\(480\) | −2.70800 | − | 1.08818i | −0.123603 | − | 0.0496682i | ||||
\(481\) | 6.66131 | + | 0.957751i | 0.303729 | + | 0.0436697i | ||||
\(482\) | −20.5796 | + | 20.5796i | −0.937376 | + | 0.937376i | ||||
\(483\) | −7.43436 | + | 13.6843i | −0.338275 | + | 0.622657i | ||||
\(484\) | 1.70914i | 0.0776880i | ||||||||
\(485\) | 38.5024 | + | 6.52558i | 1.74830 | + | 0.296311i | ||||
\(486\) | 5.12915 | + | 11.2313i | 0.232663 | + | 0.509461i | ||||
\(487\) | −3.71574 | − | 6.80487i | −0.168376 | − | 0.308358i | 0.779843 | − | 0.625975i | \(-0.215299\pi\) |
−0.948219 | + | 0.317618i | \(0.897117\pi\) | |||||||
\(488\) | −0.189549 | + | 2.65024i | −0.00858047 | + | 0.119971i | ||||
\(489\) | −1.97651 | − | 6.73138i | −0.0893810 | − | 0.304404i | ||||
\(490\) | −1.01698 | + | 1.49842i | −0.0459426 | + | 0.0676918i | ||||
\(491\) | −13.1772 | + | 28.8541i | −0.594680 | + | 1.30217i | 0.337892 | + | 0.941185i | \(0.390286\pi\) |
−0.932572 | + | 0.360983i | \(0.882441\pi\) | |||||||
\(492\) | −4.67218 | + | 0.334161i | −0.210638 | + | 0.0150651i | ||||
\(493\) | −24.3523 | − | 5.29753i | −1.09677 | − | 0.238589i | ||||
\(494\) | −1.89680 | − | 13.1925i | −0.0853410 | − | 0.593559i | ||||
\(495\) | −6.93909 | − | 5.47146i | −0.311889 | − | 0.245924i | ||||
\(496\) | −1.48864 | + | 0.956693i | −0.0668420 | + | 0.0429568i | ||||
\(497\) | 1.31507 | + | 18.3870i | 0.0589887 | + | 0.824770i | ||||
\(498\) | −15.3318 | + | 5.71848i | −0.687036 | + | 0.256251i | ||||
\(499\) | 13.0805 | − | 20.3536i | 0.585563 | − | 0.911154i | −0.414436 | − | 0.910078i | \(-0.636021\pi\) |
0.999999 | − | 0.00107571i | \(-0.000342408\pi\) | |||||||
\(500\) | 6.08091 | − | 9.38203i | 0.271946 | − | 0.419577i | ||||
\(501\) | −11.2790 | − | 13.0166i | −0.503907 | − | 0.581539i | ||||
\(502\) | −14.2029 | + | 7.75539i | −0.633908 | + | 0.346140i | ||||
\(503\) | 3.52917 | − | 9.46207i | 0.157358 | − | 0.421893i | −0.834216 | − | 0.551438i | \(-0.814079\pi\) |
0.991573 | + | 0.129546i | \(0.0413519\pi\) | |||||||
\(504\) | 0.459070 | − | 3.19290i | 0.0204486 | − | 0.142223i | ||||
\(505\) | 25.9025 | − | 24.6342i | 1.15264 | − | 1.09621i | ||||
\(506\) | −6.10093 | − | 13.2841i | −0.271219 | − | 0.590552i | ||||
\(507\) | 7.59586 | + | 7.59586i | 0.337344 | + | 0.337344i | ||||
\(508\) | −2.13889 | − | 2.85722i | −0.0948978 | − | 0.126769i | ||||
\(509\) | 21.2159 | − | 9.68898i | 0.940378 | − | 0.429456i | 0.114575 | − | 0.993415i | \(-0.463449\pi\) |
0.825803 | + | 0.563958i | \(0.190722\pi\) | |||||||
\(510\) | −4.52166 | + | 14.0823i | −0.200223 | + | 0.623576i | ||||
\(511\) | −18.8134 | + | 16.3019i | −0.832256 | + | 0.721154i | ||||
\(512\) | 0.877679 | + | 0.479249i | 0.0387883 | + | 0.0211800i | ||||
\(513\) | 7.27461 | + | 33.4408i | 0.321182 | + | 1.47645i | ||||
\(514\) | 1.29354 | + | 0.590739i | 0.0570555 | + | 0.0260564i | ||||
\(515\) | 9.28572 | − | 10.1882i | 0.409178 | − | 0.448946i | ||||
\(516\) | 7.05568 | + | 10.9789i | 0.310609 | + | 0.483317i | ||||
\(517\) | −6.89126 | − | 5.15874i | −0.303077 | − | 0.226881i | ||||
\(518\) | 6.13757 | + | 4.59453i | 0.269669 | + | 0.201872i | ||||
\(519\) | −12.3897 | − | 19.2788i | −0.543848 | − | 0.846245i | ||||
\(520\) | 4.87819 | − | 0.226069i | 0.213923 | − | 0.00991378i | ||||
\(521\) | 40.1014 | + | 18.3137i | 1.75688 | + | 0.802338i | 0.986294 | + | 0.164996i | \(0.0527611\pi\) |
0.770581 | + | 0.637342i | \(0.219966\pi\) | |||||||
\(522\) | −1.35527 | − | 6.23006i | −0.0593184 | − | 0.272682i | ||||
\(523\) | −5.81979 | − | 3.17785i | −0.254482 | − | 0.138958i | 0.346945 | − | 0.937885i | \(-0.387219\pi\) |
−0.601427 | + | 0.798928i | \(0.705401\pi\) | |||||||
\(524\) | −0.437995 | + | 0.379525i | −0.0191339 | + | 0.0165796i | ||||
\(525\) | −15.3296 | − | 5.34996i | −0.669039 | − | 0.233491i | ||||
\(526\) | −21.0027 | + | 9.59163i | −0.915763 | + | 0.418215i | ||||
\(527\) | 5.37427 | + | 7.17918i | 0.234107 | + | 0.312730i | ||||
\(528\) | −2.81308 | − | 2.81308i | −0.122423 | − | 0.122423i | ||||
\(529\) | −17.4463 | − | 14.9876i | −0.758535 | − | 0.651633i | ||||
\(530\) | 18.3058 | + | 19.2483i | 0.795155 | + | 0.836092i | ||||
\(531\) | −1.28338 | + | 8.92610i | −0.0556939 | + | 0.387360i | ||||
\(532\) | 5.30620 | − | 14.2265i | 0.230053 | − | 0.616796i | ||||
\(533\) | 6.87913 | − | 3.75629i | 0.297968 | − | 0.162703i | ||||
\(534\) | −0.753781 | − | 0.869910i | −0.0326193 | − | 0.0376447i | ||||
\(535\) | 4.98321 | + | 18.6940i | 0.215443 | + | 0.808213i | ||||
\(536\) | 4.84104 | − | 7.53281i | 0.209101 | − | 0.325368i | ||||
\(537\) | 6.45388 | − | 2.40717i | 0.278506 | − | 0.103877i | ||||
\(538\) | 1.26164 | + | 17.6401i | 0.0543933 | + | 0.760518i | ||||
\(539\) | −2.07671 | + | 1.33462i | −0.0894501 | + | 0.0574861i | ||||
\(540\) | −12.4524 | + | 1.47258i | −0.535868 | + | 0.0633697i | ||||
\(541\) | −2.79130 | − | 19.4139i | −0.120007 | − | 0.834670i | −0.957544 | − | 0.288288i | \(-0.906914\pi\) |
0.837536 | − | 0.546382i | \(-0.183995\pi\) | |||||||
\(542\) | 26.5545 | + | 5.77657i | 1.14061 | + | 0.248125i | ||||
\(543\) | −13.8450 | + | 0.990213i | −0.594145 | + | 0.0424941i | ||||
\(544\) | 2.10528 | − | 4.60992i | 0.0902631 | − | 0.197649i | ||||
\(545\) | 29.2455 | − | 5.59748i | 1.25274 | − | 0.239770i | ||||
\(546\) | −1.99800 | − | 6.80455i | −0.0855063 | − | 0.291208i | ||||
\(547\) | −0.144101 | + | 2.01479i | −0.00616131 | + | 0.0861464i | −0.999602 | − | 0.0281994i | \(-0.991023\pi\) |
0.993441 | + | 0.114346i | \(0.0364772\pi\) | |||||||
\(548\) | 6.13585 | + | 11.2370i | 0.262111 | + | 0.480020i | ||||
\(549\) | 1.43105 | + | 3.13355i | 0.0610756 | + | 0.133737i | ||||
\(550\) | 12.6434 | − | 8.50980i | 0.539115 | − | 0.362859i | ||||
\(551\) | − | 30.0113i | − | 1.27853i | ||||||
\(552\) | −5.86939 | − | 2.17493i | −0.249818 | − | 0.0925711i | ||||
\(553\) | −23.1638 | + | 23.1638i | −0.985026 | + | 0.985026i | ||||
\(554\) | 10.7759 | + | 1.54935i | 0.457826 | + | 0.0658254i | ||||
\(555\) | 3.35323 | − | 8.34473i | 0.142336 | − | 0.354214i | ||||
\(556\) | −13.0681 | − | 3.83714i | −0.554211 | − | 0.162731i | ||||
\(557\) | −43.1494 | − | 3.08610i | −1.82830 | − | 0.130762i | −0.885608 | − | 0.464433i | \(-0.846258\pi\) |
−0.942690 | + | 0.333670i | \(0.891713\pi\) | |||||||
\(558\) | −1.09952 | + | 2.01362i | −0.0465464 | + | 0.0852434i | ||||
\(559\) | −18.3708 | − | 11.8062i | −0.777001 | − | 0.499348i | ||||
\(560\) | 5.00101 | + | 2.43732i | 0.211331 | + | 0.102996i | ||||
\(561\) | −13.2030 | + | 15.2371i | −0.557432 | + | 0.643311i | ||||
\(562\) | −1.97085 | + | 9.05983i | −0.0831351 | + | 0.382166i | ||||
\(563\) | −4.08124 | + | 5.45190i | −0.172004 | + | 0.229770i | −0.878257 | − | 0.478190i | \(-0.841293\pi\) |
0.706253 | + | 0.707960i | \(0.250384\pi\) | |||||||
\(564\) | −3.64849 | + | 0.524573i | −0.153629 | + | 0.0220885i | ||||
\(565\) | −3.38290 | + | 2.05601i | −0.142320 | + | 0.0864968i | ||||
\(566\) | 11.4715 | + | 9.94014i | 0.482184 | + | 0.417815i | ||||
\(567\) | 2.98182 | + | 7.99456i | 0.125225 | + | 0.335740i | ||||
\(568\) | −7.23985 | + | 1.57493i | −0.303777 | + | 0.0660827i | ||||
\(569\) | −3.78252 | + | 1.11065i | −0.158571 | + | 0.0465608i | −0.360055 | − | 0.932931i | \(-0.617242\pi\) |
0.201483 | + | 0.979492i | \(0.435424\pi\) | |||||||
\(570\) | −17.7280 | − | 1.71591i | −0.742546 | − | 0.0718714i | ||||
\(571\) | −3.50406 | + | 11.9337i | −0.146640 | + | 0.499411i | −0.999751 | − | 0.0223193i | \(-0.992895\pi\) |
0.853111 | + | 0.521730i | \(0.174713\pi\) | |||||||
\(572\) | 6.23711 | + | 2.32632i | 0.260787 | + | 0.0972684i | ||||
\(573\) | −4.15131 | + | 3.10763i | −0.173423 | + | 0.129823i | ||||
\(574\) | 8.92911 | 0.372694 | ||||||||
\(575\) | 12.4896 | − | 20.4698i | 0.520851 | − | 0.853648i | ||||
\(576\) | 1.29652 | 0.0540216 | ||||||||
\(577\) | 1.75196 | − | 1.31150i | 0.0729350 | − | 0.0545984i | −0.562188 | − | 0.827009i | \(-0.690040\pi\) |
0.635123 | + | 0.772411i | \(0.280949\pi\) | |||||||
\(578\) | −8.13605 | − | 3.03459i | −0.338415 | − | 0.126222i | ||||
\(579\) | −5.78873 | + | 19.7146i | −0.240571 | + | 0.819311i | ||||
\(580\) | 10.9449 | + | 1.05937i | 0.454464 | + | 0.0439878i | ||||
\(581\) | 29.9296 | − | 8.78811i | 1.24169 | − | 0.364592i | ||||
\(582\) | 22.2731 | − | 4.84522i | 0.923250 | − | 0.200841i | ||||
\(583\) | 12.6539 | + | 33.9265i | 0.524072 | + | 1.40509i | ||||
\(584\) | −7.56167 | − | 6.55223i | −0.312904 | − | 0.271133i | ||||
\(585\) | 5.41055 | − | 3.28834i | 0.223699 | − | 0.135956i | ||||
\(586\) | 20.0078 | − | 2.87669i | 0.826514 | − | 0.118835i | ||||
\(587\) | 20.9594 | − | 27.9985i | 0.865087 | − | 1.15562i | −0.121533 | − | 0.992587i | \(-0.538781\pi\) |
0.986621 | − | 0.163034i | \(-0.0521279\pi\) | |||||||
\(588\) | −0.224689 | + | 1.03288i | −0.00926601 | + | 0.0425952i | ||||
\(589\) | −7.07203 | + | 8.16156i | −0.291398 | + | 0.336291i | ||||
\(590\) | −13.9809 | − | 6.81380i | −0.575583 | − | 0.280520i | ||||
\(591\) | 17.2821 | + | 11.1065i | 0.710892 | + | 0.456862i | ||||
\(592\) | −1.47681 | + | 2.70458i | −0.0606965 | + | 0.111157i | ||||
\(593\) | −1.08568 | − | 0.0776497i | −0.0445837 | − | 0.00318869i | 0.0490295 | − | 0.998797i | \(-0.484387\pi\) |
−0.0936132 | + | 0.995609i | \(0.529842\pi\) | |||||||
\(594\) | −16.4004 | − | 4.81560i | −0.672918 | − | 0.197586i | ||||
\(595\) | 10.5125 | − | 26.1612i | 0.430972 | − | 1.07250i | ||||
\(596\) | 4.89085 | + | 0.703198i | 0.200337 | + | 0.0288041i | ||||
\(597\) | 7.63882 | − | 7.63882i | 0.312636 | − | 0.312636i | ||||
\(598\) | 10.4455 | − | 0.769459i | 0.427147 | − | 0.0314655i | ||||
\(599\) | 33.7924i | 1.38072i | 0.723467 | + | 0.690359i | \(0.242548\pi\) | ||||
−0.723467 | + | 0.690359i | \(0.757452\pi\) | |||||||
\(600\) | 1.25156 | − | 6.40474i | 0.0510947 | − | 0.261472i | ||||
\(601\) | 3.37331 | + | 7.38653i | 0.137600 | + | 0.301303i | 0.965870 | − | 0.259027i | \(-0.0834018\pi\) |
−0.828270 | + | 0.560329i | \(0.810675\pi\) | |||||||
\(602\) | −11.9226 | − | 21.8347i | −0.485930 | − | 0.889915i | ||||
\(603\) | 0.828203 | − | 11.5798i | 0.0337271 | − | 0.471566i | ||||
\(604\) | 2.38932 | + | 8.13726i | 0.0972199 | + | 0.331101i | ||||
\(605\) | −3.75361 | + | 0.718428i | −0.152606 | + | 0.0292083i | ||||
\(606\) | 8.66751 | − | 18.9792i | 0.352094 | − | 0.770977i | ||||
\(607\) | 6.42986 | − | 0.459873i | 0.260980 | − | 0.0186657i | 0.0597640 | − | 0.998213i | \(-0.480965\pi\) |
0.201216 | + | 0.979547i | \(0.435511\pi\) | |||||||
\(608\) | 5.96337 | + | 1.29725i | 0.241846 | + | 0.0526105i | ||||
\(609\) | −2.27259 | − | 15.8062i | −0.0920902 | − | 0.640501i | ||||
\(610\) | −5.90014 | + | 0.697728i | −0.238890 | + | 0.0282502i | ||||
\(611\) | 5.18864 | − | 3.33453i | 0.209910 | − | 0.134901i | ||||
\(612\) | −0.468743 | − | 6.55388i | −0.0189478 | − | 0.264925i | ||||
\(613\) | 13.8353 | − | 5.16030i | 0.558802 | − | 0.208422i | −0.0541633 | − | 0.998532i | \(-0.517249\pi\) |
0.612966 | + | 0.790110i | \(0.289976\pi\) | |||||||
\(614\) | −12.2484 | + | 19.0589i | −0.494306 | + | 0.769156i | ||||
\(615\) | −2.69781 | − | 10.1206i | −0.108786 | − | 0.408102i | ||||
\(616\) | 4.96623 | + | 5.73133i | 0.200095 | + | 0.230922i | ||||
\(617\) | 1.20351 | − | 0.657165i | 0.0484514 | − | 0.0264565i | −0.454841 | − | 0.890573i | \(-0.650304\pi\) |
0.503292 | + | 0.864116i | \(0.332122\pi\) | |||||||
\(618\) | 2.81184 | − | 7.53883i | 0.113109 | − | 0.303256i | ||||
\(619\) | 2.00344 | − | 13.9342i | 0.0805249 | − | 0.560063i | −0.909121 | − | 0.416532i | \(-0.863245\pi\) |
0.989646 | − | 0.143531i | \(-0.0458456\pi\) | |||||||
\(620\) | −2.72684 | − | 2.86722i | −0.109512 | − | 0.115150i | ||||
\(621\) | −26.6117 | + | 3.88410i | −1.06789 | + | 0.155864i | ||||
\(622\) | −2.65293 | − | 2.65293i | −0.106373 | − | 0.106373i | ||||
\(623\) | 1.31494 | + | 1.75655i | 0.0526819 | + | 0.0703748i | ||||
\(624\) | 2.59283 | − | 1.18410i | 0.103796 | − | 0.0474021i | ||||
\(625\) | 23.1609 | + | 9.41121i | 0.926438 | + | 0.376449i | ||||
\(626\) | −9.41770 | + | 8.16048i | −0.376407 | + | 0.326158i | ||||
\(627\) | −21.3091 | − | 11.6356i | −0.851002 | − | 0.464682i | ||||
\(628\) | −3.07106 | − | 14.1174i | −0.122548 | − | 0.563346i | ||||
\(629\) | 14.2055 | + | 6.48744i | 0.566410 | + | 0.258671i | ||||
\(630\) | 7.20522 | − | 0.333911i | 0.287063 | − | 0.0133033i | ||||
\(631\) | 21.3186 | + | 33.1724i | 0.848682 | + | 1.32057i | 0.945617 | + | 0.325284i | \(0.105460\pi\) |
−0.0969349 | + | 0.995291i | \(0.530904\pi\) | |||||||
\(632\) | −10.5405 | − | 7.89048i | −0.419277 | − | 0.313867i | ||||
\(633\) | 17.0902 | + | 12.7935i | 0.679274 | + | 0.508498i | ||||
\(634\) | −7.54785 | − | 11.7447i | −0.299763 | − | 0.466441i | ||||
\(635\) | 5.37596 | − | 5.89845i | 0.213339 | − | 0.234073i | ||||
\(636\) | 14.1036 | + | 6.44088i | 0.559242 | + | 0.255397i | ||||
\(637\) | −0.375969 | − | 1.72830i | −0.0148964 | − | 0.0684778i | ||||
\(638\) | 13.1558 | + | 7.18361i | 0.520843 | + | 0.284402i | ||||
\(639\) | −7.25983 | + | 6.29068i | −0.287194 | + | 0.248855i | ||||
\(640\) | −0.683600 | + | 2.12901i | −0.0270217 | + | 0.0841566i | ||||
\(641\) | 9.63402 | − | 4.39971i | 0.380521 | − | 0.173778i | −0.215966 | − | 0.976401i | \(-0.569290\pi\) |
0.596487 | + | 0.802623i | \(0.296563\pi\) | |||||||
\(642\) | 6.76739 | + | 9.04017i | 0.267087 | + | 0.356787i | ||||
\(643\) | 13.5230 | + | 13.5230i | 0.533297 | + | 0.533297i | 0.921552 | − | 0.388255i | \(-0.126922\pi\) |
−0.388255 | + | 0.921552i | \(0.626922\pi\) | |||||||
\(644\) | 10.8643 | + | 4.93359i | 0.428112 | + | 0.194411i | ||||
\(645\) | −21.1460 | + | 20.1106i | −0.832622 | + | 0.791855i | ||||
\(646\) | 4.40159 | − | 30.6137i | 0.173178 | − | 1.20448i | ||||
\(647\) | −12.9416 | + | 34.6979i | −0.508789 | + | 1.36412i | 0.388001 | + | 0.921659i | \(0.373166\pi\) |
−0.896790 | + | 0.442456i | \(0.854107\pi\) | |||||||
\(648\) | −3.00999 | + | 1.64358i | −0.118243 | + | 0.0645658i | ||||
\(649\) | −13.8836 | − | 16.0226i | −0.544980 | − | 0.628941i | ||||
\(650\) | 2.54702 | + | 10.6185i | 0.0999022 | + | 0.416490i | ||||
\(651\) | −3.10664 | + | 4.83402i | −0.121759 | + | 0.189460i | ||||
\(652\) | −5.03628 | + | 1.87844i | −0.197236 | + | 0.0735652i | ||||
\(653\) | −0.569572 | − | 7.96366i | −0.0222891 | − | 0.311642i | −0.996350 | − | 0.0853577i | \(-0.972797\pi\) |
0.974061 | − | 0.226284i | \(-0.0726579\pi\) | |||||||
\(654\) | 14.6212 | − | 9.39645i | 0.571732 | − | 0.367430i | ||||
\(655\) | −1.01762 | − | 0.802394i | −0.0397618 | − | 0.0313521i | ||||
\(656\) | 0.510751 | + | 3.55235i | 0.0199415 | + | 0.138696i | ||||
\(657\) | −12.6759 | − | 2.75747i | −0.494534 | − | 0.107579i | ||||
\(658\) | 7.00856 | − | 0.501262i | 0.273222 | − | 0.0195412i | ||||
\(659\) | 19.4908 | − | 42.6788i | 0.759252 | − | 1.66253i | 0.0102639 | − | 0.999947i | \(-0.496733\pi\) |
0.748988 | − | 0.662583i | \(-0.230540\pi\) | |||||||
\(660\) | 4.99563 | − | 7.36056i | 0.194454 | − | 0.286509i | ||||
\(661\) | 3.95730 | + | 13.4773i | 0.153921 | + | 0.524207i | 0.999960 | − | 0.00891366i | \(-0.00283734\pi\) |
−0.846039 | + | 0.533121i | \(0.821019\pi\) | |||||||
\(662\) | −0.216380 | + | 3.02538i | −0.00840984 | + | 0.117585i | ||||
\(663\) | −6.92304 | − | 12.6786i | −0.268868 | − | 0.492396i | ||||
\(664\) | 5.20824 | + | 11.4045i | 0.202119 | + | 0.442579i | ||||
\(665\) | 33.4747 | + | 5.67347i | 1.29809 | + | 0.220008i | ||||
\(666\) | 3.99523i | 0.154812i | ||||||||
\(667\) | 23.5274 | + | 1.63231i | 0.910986 | + | 0.0632034i | ||||
\(668\) | −9.33118 | + | 9.33118i | −0.361034 | + | 0.361034i | ||||
\(669\) | −0.890776 | − | 0.128074i | −0.0344394 | − | 0.00495163i | ||||
\(670\) | 18.5785 | + | 7.46553i | 0.717750 | + | 0.288419i | ||||
\(671\) | −7.77074 | − | 2.28170i | −0.299986 | − | 0.0880839i | ||||
\(672\) | 3.23900 | + | 0.231658i | 0.124947 | + | 0.00893638i | ||||
\(673\) | 18.6660 | − | 34.1843i | 0.719523 | − | 1.31771i | −0.220093 | − | 0.975479i | \(-0.570636\pi\) |
0.939616 | − | 0.342230i | \(-0.111182\pi\) | |||||||
\(674\) | −11.0258 | − | 7.08588i | −0.424700 | − | 0.272938i | ||||
\(675\) | −8.46841 | − | 26.7291i | −0.325949 | − | 1.02880i | ||||
\(676\) | 5.38979 | − | 6.22015i | 0.207300 | − | 0.239237i | ||||
\(677\) | −1.24625 | + | 5.72894i | −0.0478975 | + | 0.220181i | −0.994874 | − | 0.101121i | \(-0.967757\pi\) |
0.946977 | + | 0.321302i | \(0.104121\pi\) | |||||||
\(678\) | −1.38472 | + | 1.84977i | −0.0531800 | + | 0.0710401i | ||||
\(679\) | −43.0089 | + | 6.18375i | −1.65053 | + | 0.237311i | ||||
\(680\) | 11.0093 | + | 2.68586i | 0.422186 | + | 0.102998i | ||||
\(681\) | 0.0469058 | + | 0.0406441i | 0.00179743 | + | 0.00155748i | ||||
\(682\) | −1.88493 | − | 5.05368i | −0.0721776 | − | 0.193516i | ||||
\(683\) | 19.2856 | − | 4.19531i | 0.737941 | − | 0.160529i | 0.172142 | − | 0.985072i | \(-0.444931\pi\) |
0.565799 | + | 0.824543i | \(0.308568\pi\) | |||||||
\(684\) | 7.59193 | − | 2.22919i | 0.290285 | − | 0.0852353i | ||||
\(685\) | −22.0995 | + | 18.1990i | −0.844379 | + | 0.695348i | ||||
\(686\) | 5.47433 | − | 18.6439i | 0.209011 | − | 0.711826i | ||||
\(687\) | −34.8677 | − | 13.0050i | −1.33029 | − | 0.496171i | ||||
\(688\) | 8.00470 | − | 5.99224i | 0.305176 | − | 0.228452i | ||||
\(689\) | −25.9438 | −0.988379 | ||||||||
\(690\) | 2.30941 | − | 13.8046i | 0.0879178 | − | 0.525532i | ||||
\(691\) | 38.8273 | 1.47706 | 0.738529 | − | 0.674221i | \(-0.235521\pi\) | ||||
0.738529 | + | 0.674221i | \(0.235521\pi\) | |||||||
\(692\) | −14.0562 | + | 10.5223i | −0.534336 | + | 0.399999i | ||||
\(693\) | 9.21240 | + | 3.43605i | 0.349950 | + | 0.130525i | ||||
\(694\) | −2.77606 | + | 9.45440i | −0.105378 | + | 0.358884i | ||||
\(695\) | 2.93402 | − | 30.3131i | 0.111294 | − | 1.14984i | ||||
\(696\) | 6.15834 | − | 1.80825i | 0.233431 | − | 0.0685417i | ||||
\(697\) | 17.7724 | − | 3.86615i | 0.673178 | − | 0.146441i | ||||
\(698\) | −6.63505 | − | 17.7893i | −0.251140 | − | 0.673334i | ||||
\(699\) | −8.63803 | − | 7.48490i | −0.326720 | − | 0.283105i | ||||
\(700\) | −3.25070 | + | 12.0077i | −0.122865 | + | 0.453850i | ||||
\(701\) | −5.17559 | + | 0.744137i | −0.195479 | + | 0.0281057i | −0.239359 | − | 0.970931i | \(-0.576937\pi\) |
0.0438797 | + | 0.999037i | \(0.486028\pi\) | |||||||
\(702\) | 7.33927 | − | 9.80411i | 0.277003 | − | 0.370032i | ||||
\(703\) | −3.99749 | + | 18.3762i | −0.150768 | + | 0.693070i | ||||
\(704\) | −1.99608 | + | 2.30359i | −0.0752299 | + | 0.0868200i | ||||
\(705\) | −2.68569 | − | 7.79232i | −0.101149 | − | 0.293476i | ||||
\(706\) | −26.6437 | − | 17.1229i | −1.00275 | − | 0.644427i | ||||
\(707\) | −19.0614 | + | 34.9083i | −0.716877 | + | 1.31286i | ||||
\(708\) | −9.05497 | − | 0.647624i | −0.340307 | − | 0.0243392i | ||||
\(709\) | 35.7470 | + | 10.4963i | 1.34251 | + | 0.394196i | 0.872564 | − | 0.488500i | \(-0.162456\pi\) |
0.469944 | + | 0.882696i | \(0.344274\pi\) | |||||||
\(710\) | −6.50211 | − | 15.2382i | −0.244020 | − | 0.571878i | ||||
\(711\) | −16.8971 | − | 2.42943i | −0.633689 | − | 0.0911108i | ||||
\(712\) | −0.623609 | + | 0.623609i | −0.0233708 | + | 0.0233708i | ||||
\(713\) | −6.01363 | − | 5.98804i | −0.225212 | − | 0.224254i | ||||
\(714\) | − | 16.4568i | − | 0.615881i | ||||||
\(715\) | −2.48733 | + | 14.6758i | −0.0930211 | + | 0.548845i | ||||
\(716\) | −2.19239 | − | 4.80067i | −0.0819336 | − | 0.179409i | ||||
\(717\) | 17.8624 | + | 32.7126i | 0.667085 | + | 1.22168i | ||||
\(718\) | 2.31639 | − | 32.3874i | 0.0864471 | − | 1.20869i | ||||
\(719\) | 4.20882 | + | 14.3339i | 0.156963 | + | 0.534565i | 0.999995 | − | 0.00329804i | \(-0.00104980\pi\) |
−0.843032 | + | 0.537863i | \(0.819232\pi\) | |||||||
\(720\) | 0.544986 | + | 2.84742i | 0.0203104 | + | 0.106117i | ||||
\(721\) | −6.37164 | + | 13.9519i | −0.237292 | + | 0.519597i | ||||
\(722\) | 18.1981 | − | 1.30156i | 0.677264 | − | 0.0484389i | ||||
\(723\) | −37.1177 | − | 8.07446i | −1.38042 | − | 0.300292i | ||||
\(724\) | 1.51350 | + | 10.5266i | 0.0562487 | + | 0.391218i | ||||
\(725\) | 2.27407 | + | 24.4826i | 0.0844570 | + | 0.909262i | ||||
\(726\) | −1.87660 | + | 1.20602i | −0.0696473 | + | 0.0447596i | ||||
\(727\) | −0.141825 | − | 1.98297i | −0.00525999 | − | 0.0735443i | 0.994144 | − | 0.108063i | \(-0.0344648\pi\) |
−0.999404 | + | 0.0345185i | \(0.989010\pi\) | |||||||
\(728\) | −5.09102 | + | 1.89885i | −0.188686 | + | 0.0703762i | ||||
\(729\) | −14.2748 | + | 22.2120i | −0.528697 | + | 0.822668i | ||||
\(730\) | 11.2115 | − | 19.3612i | 0.414957 | − | 0.716589i | ||||
\(731\) | −33.1847 | − | 38.2972i | −1.22738 | − | 1.41647i | ||||
\(732\) | −3.04367 | + | 1.66197i | −0.112497 | + | 0.0614281i | ||||
\(733\) | −14.4596 | + | 38.7678i | −0.534079 | + | 1.43192i | 0.337341 | + | 0.941383i | \(0.390473\pi\) |
−0.871420 | + | 0.490538i | \(0.836800\pi\) | |||||||
\(734\) | −0.710981 | + | 4.94498i | −0.0262428 | + | 0.182523i | ||||
\(735\) | −2.36286 | − | 0.0592968i | −0.0871553 | − | 0.00218720i | ||||
\(736\) | −1.34133 | + | 4.60444i | −0.0494421 | + | 0.169722i | ||||
\(737\) | 19.2994 | + | 19.2994i | 0.710902 | + | 0.710902i | ||||
\(738\) | 2.78847 | + | 3.72496i | 0.102645 | + | 0.137118i | ||||
\(739\) | −17.8158 | + | 8.13620i | −0.655364 | + | 0.299295i | −0.715207 | − | 0.698913i | \(-0.753667\pi\) |
0.0598423 | + | 0.998208i | \(0.480940\pi\) | |||||||
\(740\) | −6.56057 | − | 2.10652i | −0.241171 | − | 0.0774372i | ||||
\(741\) | 13.1467 | − | 11.3917i | 0.482957 | − | 0.418485i | ||||
\(742\) | −25.9406 | − | 14.1646i | −0.952308 | − | 0.520000i | ||||
\(743\) | −2.98156 | − | 13.7060i | −0.109383 | − | 0.502825i | −0.998941 | − | 0.0460033i | \(-0.985352\pi\) |
0.889559 | − | 0.456821i | \(-0.151012\pi\) | |||||||
\(744\) | −2.10086 | − | 0.959433i | −0.0770214 | − | 0.0351745i | ||||
\(745\) | 0.511481 | + | 11.0369i | 0.0187392 | + | 0.404361i | ||||
\(746\) | −8.12784 | − | 12.6472i | −0.297581 | − | 0.463045i | ||||
\(747\) | 13.0128 | + | 9.74128i | 0.476114 | + | 0.356415i | ||||
\(748\) | 12.3663 | + | 9.25728i | 0.452156 | + | 0.338480i | ||||
\(749\) | −11.6381 | − | 18.1093i | −0.425247 | − | 0.661698i | ||||
\(750\) | 14.5922 | + | 0.0564796i | 0.532831 | + | 0.00206234i | ||||
\(751\) | −1.04482 | − | 0.477154i | −0.0381261 | − | 0.0174116i | 0.396261 | − | 0.918138i | \(-0.370308\pi\) |
−0.434387 | + | 0.900726i | \(0.643035\pi\) | |||||||
\(752\) | 0.600315 | + | 2.75961i | 0.0218913 | + | 0.100632i | ||||
\(753\) | −18.5373 | − | 10.1221i | −0.675537 | − | 0.368871i | ||||
\(754\) | −8.11653 | + | 7.03302i | −0.295587 | + | 0.256127i | ||||
\(755\) | −16.8667 | + | 8.66789i | −0.613844 | + | 0.315457i | ||||
\(756\) | 12.6911 | − | 5.79585i | 0.461572 | − | 0.210793i | ||||
\(757\) | −19.4902 | − | 26.0359i | −0.708385 | − | 0.946291i | 0.291563 | − | 0.956552i | \(-0.405825\pi\) |
−0.999947 | + | 0.0102604i | \(0.996734\pi\) | |||||||
\(758\) | 7.38087 | + | 7.38087i | 0.268085 | + | 0.268085i | ||||
\(759\) | 10.2808 | − | 16.0724i | 0.373168 | − | 0.583392i | ||||
\(760\) | −0.342353 | + | 13.6421i | −0.0124184 | + | 0.494850i | ||||
\(761\) | −4.41903 | + | 30.7350i | −0.160190 | + | 1.11414i | 0.738085 | + | 0.674708i | \(0.235730\pi\) |
−0.898274 | + | 0.439435i | \(0.855179\pi\) | |||||||
\(762\) | 1.62791 | − | 4.36460i | 0.0589730 | − | 0.158113i | ||||
\(763\) | −29.0785 | + | 15.8780i | −1.05271 | + | 0.574824i | ||||
\(764\) | 2.60185 | + | 3.00269i | 0.0941315 | + | 0.108634i | ||||
\(765\) | 14.1966 | − | 3.78435i | 0.513280 | − | 0.136823i | ||||
\(766\) | −6.39617 | + | 9.95263i | −0.231103 | + | 0.359603i | ||||
\(767\) | 14.2325 | − | 5.30845i | 0.513906 | − | 0.191677i | ||||
\(768\) | 0.0931101 | + | 1.30185i | 0.00335982 | + | 0.0469764i | ||||
\(769\) | 34.5590 | − | 22.2097i | 1.24623 | − | 0.800904i | 0.259893 | − | 0.965637i | \(-0.416313\pi\) |
0.986338 | + | 0.164733i | \(0.0526764\pi\) | |||||||
\(770\) | −10.4996 | + | 13.3160i | −0.378381 | + | 0.479875i | ||||
\(771\) | 0.264139 | + | 1.83713i | 0.00951273 | + | 0.0661625i | ||||
\(772\) | 15.3829 | + | 3.34634i | 0.553642 | + | 0.120437i | ||||
\(773\) | 12.7014 | − | 0.908425i | 0.456839 | − | 0.0326738i | 0.158976 | − | 0.987282i | \(-0.449181\pi\) |
0.297863 | + | 0.954609i | \(0.403726\pi\) | |||||||
\(774\) | 5.38545 | − | 11.7925i | 0.193576 | − | 0.423873i | ||||
\(775\) | 5.15079 | − | 7.19391i | 0.185022 | − | 0.258413i | ||||
\(776\) | −4.92027 | − | 16.7569i | −0.176628 | − | 0.601538i | ||||
\(777\) | −0.713855 | + | 9.98099i | −0.0256094 | + | 0.358066i | ||||
\(778\) | 16.3043 | + | 29.8591i | 0.584538 | + | 1.07050i | ||||
\(779\) | 9.09856 | + | 19.9231i | 0.325990 | + | 0.713818i | ||||
\(780\) | 3.69042 | + | 5.19664i | 0.132138 | + | 0.186070i | ||||
\(781\) | − | 22.5838i | − | 0.808113i | ||||||
\(782\) | 23.7603 | + | 5.11571i | 0.849666 | + | 0.182937i | ||||
\(783\) | 19.4995 | − | 19.4995i | 0.696856 | − | 0.696856i | ||||
\(784\) | 0.801636 | + | 0.115258i | 0.0286299 | + | 0.00411635i | ||||
\(785\) | 29.7138 | − | 12.6789i | 1.06053 | − | 0.452528i | ||||
\(786\) | −0.725774 | − | 0.213106i | −0.0258875 | − | 0.00760126i | ||||
\(787\) | 36.3924 | + | 2.60284i | 1.29725 | + | 0.0927812i | 0.702821 | − | 0.711367i | \(-0.251923\pi\) |
0.594429 | + | 0.804148i | \(0.297378\pi\) | |||||||
\(788\) | 7.54332 | − | 13.8146i | 0.268720 | − | 0.492124i | ||||
\(789\) | −25.3516 | − | 16.2925i | −0.902542 | − | 0.580028i | ||||
\(790\) | 12.8985 | − | 26.4657i | 0.458907 | − | 0.941608i | ||||
\(791\) | 2.88446 | − | 3.32884i | 0.102560 | − | 0.118360i | ||||
\(792\) | −0.840038 | + | 3.86159i | −0.0298495 | + | 0.137216i | ||||
\(793\) | 3.47744 | − | 4.64532i | 0.123488 | − | 0.164960i | ||||
\(794\) | 12.6204 | − | 1.81454i | 0.447881 | − | 0.0643956i | ||||
\(795\) | −8.21711 | + | 33.6817i | −0.291431 | + | 1.19457i | ||||
\(796\) | −6.25533 | − | 5.42028i | −0.221714 | − | 0.192117i | ||||
\(797\) | −7.29027 | − | 19.5460i | −0.258235 | − | 0.692354i | −0.999770 | − | 0.0214402i | \(-0.993175\pi\) |
0.741536 | − | 0.670914i | \(-0.234098\pi\) | |||||||
\(798\) | 19.3647 | − | 4.21252i | 0.685501 | − | 0.149122i | ||||
\(799\) | 13.7327 | − | 4.03229i | 0.485829 | − | 0.142652i | ||||
\(800\) | −4.96309 | − | 0.606404i | −0.175472 | − | 0.0214396i | ||||
\(801\) | −0.322139 | + | 1.09711i | −0.0113822 | + | 0.0387643i | ||||
\(802\) | −31.2048 | − | 11.6388i | −1.10188 | − | 0.410980i | ||||
\(803\) | 24.4147 | − | 18.2766i | 0.861577 | − | 0.644968i | ||||
\(804\) | 11.6869 | 0.412165 | ||||||||
\(805\) | −6.26841 | + | 25.9340i | −0.220932 | + | 0.914052i | ||||
\(806\) | 3.86458 | 0.136124 | ||||||||
\(807\) | −18.4783 | + | 13.8326i | −0.650465 | + | 0.486932i | ||||
\(808\) | −14.9782 | − | 5.58658i | −0.526931 | − | 0.196535i | ||||
\(809\) | −8.58402 | + | 29.2345i | −0.301798 | + | 1.02783i | 0.659359 | + | 0.751828i | \(0.270828\pi\) |
−0.961157 | + | 0.276002i | \(0.910990\pi\) | |||||||
\(810\) | −4.87486 | − | 5.91967i | −0.171285 | − | 0.207996i | ||||
\(811\) | 24.2785 | − | 7.12881i | 0.852534 | − | 0.250326i | 0.173864 | − | 0.984770i | \(-0.444375\pi\) |
0.678670 | + | 0.734443i | \(0.262557\pi\) | |||||||
\(812\) | −11.9554 | + | 2.60073i | −0.419551 | + | 0.0912678i | ||||
\(813\) | 12.3951 | + | 33.2325i | 0.434714 | + | 1.16551i | ||||
\(814\) | −7.09854 | − | 6.15092i | −0.248804 | − | 0.215590i | ||||
\(815\) | −6.24241 | − | 10.2711i | −0.218662 | − | 0.359781i | ||||
\(816\) | 6.54716 | − | 0.941340i | 0.229196 | − | 0.0329535i | ||||
\(817\) | 36.5697 | − | 48.8514i | 1.27941 | − | 1.70909i | ||||
\(818\) | −1.11364 | + | 5.11933i | −0.0389376 | + | 0.178993i | ||||
\(819\) | −4.61335 | + | 5.32409i | −0.161203 | + | 0.186039i | ||||
\(820\) | −7.58699 | + | 2.61493i | −0.264949 | + | 0.0913172i | ||||
\(821\) | −34.3843 | − | 22.0975i | −1.20002 | − | 0.771207i | −0.221061 | − | 0.975260i | \(-0.570952\pi\) |
−0.978960 | + | 0.204053i | \(0.934588\pi\) | |||||||
\(822\) | −8.00836 | + | 14.6662i | −0.279324 | + | 0.511543i | ||||
\(823\) | 15.0192 | + | 1.07420i | 0.523538 | + | 0.0374441i | 0.330607 | − | 0.943768i | \(-0.392746\pi\) |
0.192930 | + | 0.981212i | \(0.438201\pi\) | |||||||
\(824\) | −5.91508 | − | 1.73683i | −0.206062 | − | 0.0605052i | ||||
\(825\) | 18.2652 | + | 7.87744i | 0.635911 | + | 0.274257i | ||||
\(826\) | 17.1290 | + | 2.46278i | 0.595995 | + | 0.0856911i | ||||
\(827\) | −10.2287 | + | 10.2287i | −0.355687 | + | 0.355687i | −0.862220 | − | 0.506533i | \(-0.830927\pi\) |
0.506533 | + | 0.862220i | \(0.330927\pi\) | |||||||
\(828\) | 1.33466 | + | 6.07296i | 0.0463825 | + | 0.211050i | ||||
\(829\) | 7.48983i | 0.260133i | 0.991505 | + | 0.130066i | \(0.0415190\pi\) | ||||
−0.991505 | + | 0.130066i | \(0.958481\pi\) | |||||||
\(830\) | −22.8573 | + | 16.2322i | −0.793387 | + | 0.563427i | ||||
\(831\) | 5.90268 | + | 12.9251i | 0.204762 | + | 0.448365i | ||||
\(832\) | −1.04665 | − | 1.91679i | −0.0362860 | − | 0.0664528i | ||||
\(833\) | 0.292803 | − | 4.09393i | 0.0101450 | − | 0.141846i | ||||
\(834\) | −5.00814 | − | 17.0561i | −0.173418 | − | 0.590606i | ||||
\(835\) | −24.4155 | − | 16.5708i | −0.844932 | − | 0.573458i | ||||
\(836\) | −7.72755 | + | 16.9210i | −0.267263 | + | 0.585224i | ||||
\(837\) | −9.89786 | + | 0.707909i | −0.342120 | + | 0.0244689i | ||||
\(838\) | −1.97060 | − | 0.428679i | −0.0680734 | − | 0.0148085i | ||||
\(839\) | −1.23420 | − | 8.58408i | −0.0426095 | − | 0.296355i | −0.999972 | − | 0.00746650i | \(-0.997623\pi\) |
0.957363 | − | 0.288889i | \(-0.0932858\pi\) | |||||||
\(840\) | 0.852730 | + | 7.21087i | 0.0294220 | + | 0.248799i | ||||
\(841\) | 4.05247 | − | 2.60436i | 0.139740 | − | 0.0898056i | ||||
\(842\) | −1.12363 | − | 15.7103i | −0.0387227 | − | 0.541414i | ||||
\(843\) | −11.3382 | + | 4.22894i | −0.390510 | + | 0.145653i | ||||
\(844\) | 8.84307 | − | 13.7601i | 0.304391 | − | 0.473642i | ||||
\(845\) | 15.9263 | + | 9.22247i | 0.547881 | + | 0.317263i | ||||
\(846\) | 2.39781 | + | 2.76722i | 0.0824384 | + | 0.0951390i | ||||
\(847\) | 3.73218 | − | 2.03792i | 0.128239 | − | 0.0700238i | ||||
\(848\) | 4.15142 | − | 11.1304i | 0.142560 | − | 0.382219i | ||||
\(849\) | −2.81944 | + | 19.6096i | −0.0967628 | + | 0.673000i | ||||
\(850\) | −1.27101 | + | 25.3076i | −0.0435952 | + | 0.868043i | ||||
\(851\) | −14.1886 | − | 4.13332i | −0.486379 | − | 0.141688i | ||||
\(852\) | −6.83791 | − | 6.83791i | −0.234263 | − | 0.234263i | ||||
\(853\) | 15.0133 | + | 20.0555i | 0.514046 | + | 0.686686i | 0.980198 | − | 0.198019i | \(-0.0634508\pi\) |
−0.466152 | + | 0.884705i | \(0.654360\pi\) | |||||||
\(854\) | 6.01323 | − | 2.74615i | 0.205769 | − | 0.0939714i | ||||
\(855\) | 8.08699 | + | 15.7364i | 0.276569 | + | 0.538173i | ||||
\(856\) | 6.53886 | − | 5.66596i | 0.223494 | − | 0.193658i | ||||
\(857\) | −36.9782 | − | 20.1916i | −1.26315 | − | 0.689733i | −0.298790 | − | 0.954319i | \(-0.596583\pi\) |
−0.964362 | + | 0.264586i | \(0.914765\pi\) | |||||||
\(858\) | 1.84684 | + | 8.48977i | 0.0630499 | + | 0.289836i | ||||
\(859\) | 47.3336 | + | 21.6165i | 1.61500 | + | 0.737546i | 0.998749 | − | 0.0500029i | \(-0.0159231\pi\) |
0.616252 | + | 0.787549i | \(0.288650\pi\) | |||||||
\(860\) | 16.5249 | + | 15.0611i | 0.563495 | + | 0.513581i | ||||
\(861\) | 6.30066 | + | 9.80401i | 0.214726 | + | 0.334120i | ||||
\(862\) | 10.7719 | + | 8.06378i | 0.366894 | + | 0.274653i | ||||
\(863\) | 24.5191 | + | 18.3548i | 0.834641 | + | 0.624804i | 0.928729 | − | 0.370760i | \(-0.120903\pi\) |
−0.0940882 | + | 0.995564i | \(0.529994\pi\) | |||||||
\(864\) | 3.03176 | + | 4.71750i | 0.103142 | + | 0.160493i | ||||
\(865\) | −29.0176 | − | 26.4472i | −0.986629 | − | 0.899233i | ||||
\(866\) | −9.43444 | − | 4.30857i | −0.320595 | − | 0.146411i | ||||
\(867\) | −2.40912 | − | 11.0745i | −0.0818180 | − | 0.376111i | ||||
\(868\) | 3.86410 | + | 2.10996i | 0.131156 | + | 0.0716167i | ||||
\(869\) | 30.3306 | − | 26.2816i | 1.02890 | − | 0.891544i | ||||
\(870\) | 6.55992 | + | 12.7649i | 0.222402 | + | 0.432770i | ||||
\(871\) | −17.7883 | + | 8.12366i | −0.602734 | + | 0.275260i | ||||
\(872\) | −7.98021 | − | 10.6603i | −0.270244 | − | 0.361004i | ||||
\(873\) | −16.0109 | − | 16.0109i | −0.541887 | − | 0.541887i | ||||
\(874\) | 0.0623928 | + | 29.2681i | 0.00211047 | + | 0.990009i | ||||
\(875\) | −27.7379 | − | 2.09179i | −0.937711 | − | 0.0707154i | ||||
\(876\) | 1.85848 | − | 12.9260i | 0.0627924 | − | 0.436730i | ||||
\(877\) | −5.85076 | + | 15.6865i | −0.197566 | + | 0.529695i | −0.997521 | − | 0.0703646i | \(-0.977584\pi\) |
0.799955 | + | 0.600060i | \(0.204856\pi\) | |||||||
\(878\) | −33.3367 | + | 18.2032i | −1.12506 | + | 0.614328i | ||||
\(879\) | 17.2767 | + | 19.9383i | 0.582727 | + | 0.672503i | ||||
\(880\) | −5.89820 | − | 3.41548i | −0.198828 | − | 0.115136i | ||||
\(881\) | 3.05949 | − | 4.76065i | 0.103077 | − | 0.160390i | −0.785884 | − | 0.618374i | \(-0.787792\pi\) |
0.888961 | + | 0.457983i | \(0.151428\pi\) | |||||||
\(882\) | 0.983819 | − | 0.366946i | 0.0331269 | − | 0.0123557i | ||||
\(883\) | −2.90397 | − | 40.6028i | −0.0977263 | − | 1.36639i | −0.775605 | − | 0.631219i | \(-0.782555\pi\) |
0.677879 | − | 0.735174i | \(-0.262900\pi\) | |||||||
\(884\) | −9.31094 | + | 5.98378i | −0.313161 | + | 0.201256i | ||||
\(885\) | −2.38390 | − | 20.1588i | −0.0801340 | − | 0.677630i | ||||
\(886\) | 4.79945 | + | 33.3809i | 0.161241 | + | 1.12145i | ||||
\(887\) | −3.65066 | − | 0.794152i | −0.122577 | − | 0.0266650i | 0.150858 | − | 0.988555i | \(-0.451796\pi\) |
−0.273435 | + | 0.961890i | \(0.588160\pi\) | |||||||
\(888\) | −4.01166 | + | 0.286920i | −0.134623 | + | 0.00962839i | ||||
\(889\) | −3.68885 | + | 8.07746i | −0.123720 | + | 0.270909i | ||||
\(890\) | −1.63170 | − | 1.10744i | −0.0546949 | − | 0.0371215i | ||||
\(891\) | −2.94506 | − | 10.0299i | −0.0986632 | − | 0.336016i | ||||
\(892\) | −0.0491893 | + | 0.687757i | −0.00164698 | + | 0.0230278i | ||||
\(893\) | 8.26000 | + | 15.1271i | 0.276410 | + | 0.506208i | ||||
\(894\) | 2.67904 | + | 5.86627i | 0.0896004 | + | 0.196197i | ||||
\(895\) | 9.62169 | − | 6.83288i | 0.321617 | − | 0.228398i | ||||
\(896\) | − | 2.48800i | − | 0.0831181i | ||||||
\(897\) | 8.21550 | + | 10.9260i | 0.274307 | + | 0.364808i | ||||
\(898\) | −24.7280 | + | 24.7280i | −0.825183 | + | 0.825183i | ||||
\(899\) | 8.61339 | + | 1.23842i | 0.287273 | + | 0.0413036i | ||||
\(900\) | −6.02443 | + | 2.39380i | −0.200814 | + | 0.0797933i | ||||
\(901\) | −57.7648 | − | 16.9613i | −1.92443 | − | 0.565062i | ||||
\(902\) | −10.9114 | − | 0.780396i | −0.363309 | − | 0.0259843i | ||||
\(903\) | 15.5611 | − | 28.4981i | 0.517842 | − | 0.948356i | ||||
\(904\) | 1.48934 | + | 0.957139i | 0.0495346 | + | 0.0318340i | ||||
\(905\) | −22.4824 | + | 7.74876i | −0.747340 | + | 0.257578i | ||||
\(906\) | −7.24860 | + | 8.36533i | −0.240819 | + | 0.277920i | ||||
\(907\) | −9.23169 | + | 42.4374i | −0.306533 | + | 1.40911i | 0.523799 | + | 0.851842i | \(0.324514\pi\) |
−0.830333 | + | 0.557268i | \(0.811850\pi\) | |||||||
\(908\) | 0.0284976 | − | 0.0380683i | 0.000945725 | − | 0.00126334i | ||||
\(909\) | −20.5154 | + | 2.94966i | −0.680452 | + | 0.0978342i | ||||
\(910\) | −6.31026 | − | 10.3827i | −0.209183 | − | 0.344185i | ||||
\(911\) | −15.7576 | − | 13.6541i | −0.522073 | − | 0.452379i | 0.353521 | − | 0.935427i | \(-0.384984\pi\) |
−0.875594 | + | 0.483047i | \(0.839530\pi\) | |||||||
\(912\) | 2.78358 | + | 7.46306i | 0.0921734 | + | 0.247126i | ||||
\(913\) | −37.3419 | + | 8.12324i | −1.23584 | + | 0.268840i | ||||
\(914\) | −31.5245 | + | 9.25642i | −1.04274 | + | 0.306175i | ||||
\(915\) | −4.92941 | − | 5.98591i | −0.162961 | − | 0.197888i | ||||
\(916\) | −8.03296 | + | 27.3577i | −0.265416 | + | 0.903925i | ||||
\(917\) | 1.35100 | + | 0.503899i | 0.0446141 | + | 0.0166402i | ||||
\(918\) | 22.7508 | − | 17.0310i | 0.750888 | − | 0.562108i | ||||
\(919\) | −10.3781 | −0.342343 | −0.171172 | − | 0.985241i | \(-0.554755\pi\) | ||||
−0.171172 | + | 0.985241i | \(0.554755\pi\) | |||||||
\(920\) | −10.6761 | − | 1.01038i | −0.351981 | − | 0.0333112i | ||||
\(921\) | −29.5692 | −0.974340 | ||||||||
\(922\) | 27.2783 | − | 20.4203i | 0.898363 | − | 0.672506i | ||||
\(923\) | 15.1609 | + | 5.65472i | 0.499027 | + | 0.186128i | ||||
\(924\) | −2.78858 | + | 9.49704i | −0.0917376 | + | 0.312430i | ||||
\(925\) | 1.86864 | − | 15.2938i | 0.0614405 | − | 0.502857i | ||||
\(926\) | −12.5657 | + | 3.68964i | −0.412936 | + | 0.121249i | ||||
\(927\) | −7.81012 | + | 1.69899i | −0.256518 | + | 0.0558021i | ||||
\(928\) | −1.71853 | − | 4.60755i | −0.0564134 | − | 0.151250i | ||||
\(929\) | −15.1341 | − | 13.1137i | −0.496532 | − | 0.430248i | 0.370252 | − | 0.928931i | \(-0.379271\pi\) |
−0.866784 | + | 0.498684i | \(0.833817\pi\) | |||||||
\(930\) | 1.22402 | − | 5.01722i | 0.0401372 | − | 0.164521i | ||||
\(931\) | 4.89225 | − | 0.703400i | 0.160337 | − | 0.0230530i | ||||
\(932\) | −5.24803 | + | 7.01055i | −0.171905 | + | 0.229638i | ||||
\(933\) | 1.04088 | − | 4.78486i | 0.0340770 | − | 0.156649i | ||||
\(934\) | −6.50566 | + | 7.50793i | −0.212872 | + | 0.245667i | ||||
\(935\) | −15.1328 | + | 31.0501i | −0.494894 | + | 1.01545i | ||||
\(936\) | −2.38202 | − | 1.53083i | −0.0778586 | − | 0.0500367i | ||||
\(937\) | 19.4876 | − | 35.6888i | 0.636631 | − | 1.16590i | −0.337800 | − | 0.941218i | \(-0.609683\pi\) |
0.974431 | − | 0.224685i | \(-0.0721353\pi\) | |||||||
\(938\) | −22.2214 | − | 1.58931i | −0.725555 | − | 0.0518927i | ||||
\(939\) | −15.6055 | − | 4.58218i | −0.509266 | − | 0.149534i | ||||
\(940\) | −5.80832 | + | 2.47840i | −0.189446 | + | 0.0808366i | ||||
\(941\) | −18.9971 | − | 2.73138i | −0.619289 | − | 0.0890403i | −0.174473 | − | 0.984662i | \(-0.555822\pi\) |
−0.444817 | + | 0.895622i | \(0.646731\pi\) | |||||||
\(942\) | 13.3336 | − | 13.3336i | 0.434434 | − | 0.434434i | ||||
\(943\) | −16.1136 | + | 6.04922i | −0.524731 | + | 0.196990i | ||||
\(944\) | 6.95547i | 0.226381i | ||||||||
\(945\) | 18.0635 | + | 25.4361i | 0.587607 | + | 0.827435i | ||||
\(946\) | 12.6611 | + | 27.7239i | 0.411648 | + | 0.901383i | ||||
\(947\) | −12.1825 | − | 22.3107i | −0.395879 | − | 0.724999i | 0.601382 | − | 0.798962i | \(-0.294617\pi\) |
−0.997261 | + | 0.0739630i | \(0.976435\pi\) | |||||||
\(948\) | 1.22595 | − | 17.1410i | 0.0398170 | − | 0.556714i | ||||
\(949\) | 6.15625 | + | 20.9663i | 0.199840 | + | 0.680593i | ||||
\(950\) | −30.1047 | + | 4.98250i | −0.976724 | + | 0.161654i | ||||
\(951\) | 7.56947 | − | 16.5748i | 0.245457 | − | 0.537475i | ||||
\(952\) | −12.5768 | + | 0.899508i | −0.407615 | + | 0.0291532i | ||||
\(953\) | −17.1137 | − | 3.72286i | −0.554367 | − | 0.120595i | −0.0733500 | − | 0.997306i | \(-0.523369\pi\) |
−0.481017 | + | 0.876711i | \(0.659733\pi\) | |||||||
\(954\) | −2.19191 | − | 15.2451i | −0.0709658 | − | 0.493578i | ||||
\(955\) | −5.50085 | + | 6.97635i | −0.178003 | + | 0.225749i | ||||
\(956\) | 24.0236 | − | 15.4390i | 0.776979 | − | 0.499334i | ||||
\(957\) | 1.39566 | + | 19.5138i | 0.0451151 | + | 0.630792i | ||||
\(958\) | 4.00586 | − | 1.49411i | 0.129423 | − | 0.0482724i | ||||
\(959\) | 17.2215 | − | 26.7972i | 0.556113 | − | 0.865328i | ||||
\(960\) | −2.81999 | + | 0.751715i | −0.0910147 | + | 0.0242615i | ||||
\(961\) | 18.2501 | + | 21.0617i | 0.588713 | + | 0.679411i | ||||
\(962\) | 5.90661 | − | 3.22525i | 0.190437 | − | 0.103986i | ||||
\(963\) | 3.92018 | − | 10.5104i | 0.126326 | − | 0.338693i | ||||
\(964\) | −4.14193 | + | 28.8077i | −0.133402 | + | 0.927835i | ||||
\(965\) | −0.883120 | + | 35.1905i | −0.0284286 | + | 1.13282i | ||||
\(966\) | 2.24918 | + | 15.4101i | 0.0723660 | + | 0.495811i | ||||
\(967\) | −19.7772 | − | 19.7772i | −0.635991 | − | 0.635991i | 0.313573 | − | 0.949564i | \(-0.398474\pi\) |
−0.949564 | + | 0.313573i | \(0.898474\pi\) | |||||||
\(968\) | 1.02425 | + | 1.36823i | 0.0329206 | + | 0.0439767i | ||||
\(969\) | 36.7192 | − | 16.7691i | 1.17959 | − | 0.538702i | ||||
\(970\) | 34.7334 | − | 17.8496i | 1.11522 | − | 0.573117i | ||||
\(971\) | −7.40146 | + | 6.41340i | −0.237524 | + | 0.205816i | −0.765487 | − | 0.643452i | \(-0.777502\pi\) |
0.527962 | + | 0.849268i | \(0.322956\pi\) | |||||||
\(972\) | 10.8367 | + | 5.91731i | 0.347589 | + | 0.189798i | ||||
\(973\) | 7.20298 | + | 33.1116i | 0.230917 | + | 1.06151i | ||||
\(974\) | −7.05261 | − | 3.22082i | −0.225980 | − | 0.103202i | ||||
\(975\) | −9.86163 | + | 10.2893i | −0.315825 | + | 0.329521i | ||||
\(976\) | 1.43649 | + | 2.23522i | 0.0459808 | + | 0.0715475i | ||||
\(977\) | 6.71908 | + | 5.02984i | 0.214963 | + | 0.160919i | 0.701333 | − | 0.712834i | \(-0.252589\pi\) |
−0.486371 | + | 0.873753i | \(0.661679\pi\) | |||||||
\(978\) | −5.61625 | − | 4.20427i | −0.179588 | − | 0.134438i | ||||
\(979\) | −1.45333 | − | 2.26143i | −0.0464487 | − | 0.0722755i | ||||
\(980\) | 0.0838344 | + | 1.80900i | 0.00267799 | + | 0.0577865i | ||||
\(981\) | −15.7047 | − | 7.17211i | −0.501414 | − | 0.228988i | ||||
\(982\) | 6.74271 | + | 30.9957i | 0.215168 | + | 0.989114i | ||||
\(983\) | −39.4425 | − | 21.5373i | −1.25802 | − | 0.686932i | −0.294779 | − | 0.955565i | \(-0.595246\pi\) |
−0.963242 | + | 0.268634i | \(0.913428\pi\) | |||||||
\(984\) | −3.54002 | + | 3.06744i | −0.112852 | + | 0.0977865i | ||||
\(985\) | 33.5104 | + | 10.7598i | 1.06773 | + | 0.342835i | ||||
\(986\) | −22.6697 | + | 10.3529i | −0.721952 | + | 0.329704i | ||||
\(987\) | 5.49583 | + | 7.34157i | 0.174934 | + | 0.233685i | ||||
\(988\) | −9.42445 | − | 9.42445i | −0.299832 | − | 0.299832i | ||||
\(989\) | 36.3081 | + | 31.3259i | 1.15453 | + | 0.996105i | ||||
\(990\) | −8.83395 | − | 0.221691i | −0.280761 | − | 0.00704582i | ||||
\(991\) | 1.08467 | − | 7.54407i | 0.0344558 | − | 0.239645i | −0.965314 | − | 0.261091i | \(-0.915918\pi\) |
0.999770 | + | 0.0214456i | \(0.00682687\pi\) | |||||||
\(992\) | −0.618396 | + | 1.65798i | −0.0196341 | + | 0.0526410i | ||||
\(993\) | −3.47450 | + | 1.89722i | −0.110260 | + | 0.0602065i | ||||
\(994\) | 12.0717 | + | 13.9315i | 0.382891 | + | 0.441880i | ||||
\(995\) | 9.27463 | − | 16.0164i | 0.294026 | − | 0.507753i | ||||
\(996\) | −8.84681 | + | 13.7659i | −0.280322 | + | 0.436189i | ||||
\(997\) | −39.2259 | + | 14.6305i | −1.24230 | + | 0.463353i | −0.882780 | − | 0.469786i | \(-0.844331\pi\) |
−0.359517 | + | 0.933139i | \(0.617058\pi\) | |||||||
\(998\) | −1.72601 | − | 24.1328i | −0.0546359 | − | 0.763910i | ||||
\(999\) | −14.5370 | + | 9.34238i | −0.459931 | + | 0.295580i |
(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 | 230.2.l.a.107.10 | yes | 240 | |
5.3 | odd | 4 | inner | 230.2.l.a.153.3 | yes | 240 | |
23.20 | odd | 22 | inner | 230.2.l.a.227.3 | yes | 240 | |
115.43 | even | 44 | inner | 230.2.l.a.43.10 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.l.a.43.10 | ✓ | 240 | 115.43 | even | 44 | inner | |
230.2.l.a.107.10 | yes | 240 | 1.1 | even | 1 | trivial | |
230.2.l.a.153.3 | yes | 240 | 5.3 | odd | 4 | inner | |
230.2.l.a.227.3 | yes | 240 | 23.20 | odd | 22 | inner |