Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [640,2,Mod(21,640)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(640, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 13, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("640.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 640 = 2^{7} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 640.bm (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.11042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 221.43 | ||
Character | \(\chi\) | \(=\) | 640.221 |
Dual form | 640.2.bm.a.501.43 |
$q$-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 \(\left(\mathbb{Z}/640\mathbb{Z}\right)^\times\).
\(n\) | \(257\) | \(261\) | \(511\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{11}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.763134 | + | 1.19064i | 0.539618 | + | 0.841910i | ||||
\(3\) | −2.62320 | − | 0.258362i | −1.51450 | − | 0.149166i | −0.693653 | − | 0.720309i | \(-0.744000\pi\) |
−0.820850 | + | 0.571144i | \(0.806500\pi\) | |||||||
\(4\) | −0.835252 | + | 1.81724i | −0.417626 | + | 0.908619i | ||||
\(5\) | −0.471397 | − | 0.881921i | −0.210815 | − | 0.394407i | ||||
\(6\) | −1.69423 | − | 3.32045i | −0.691669 | − | 1.35557i | ||||
\(7\) | 0.894514 | + | 4.49703i | 0.338095 | + | 1.69972i | 0.658619 | + | 0.752476i | \(0.271141\pi\) |
−0.320525 | + | 0.947240i | \(0.603859\pi\) | |||||||
\(8\) | −2.80109 | + | 0.392312i | −0.990334 | + | 0.138703i | ||||
\(9\) | 3.87205 | + | 0.770199i | 1.29068 | + | 0.256733i | ||||
\(10\) | 0.690312 | − | 1.23429i | 0.218296 | − | 0.390316i | ||||
\(11\) | −2.43432 | − | 1.99780i | −0.733975 | − | 0.602358i | 0.191354 | − | 0.981521i | \(-0.438712\pi\) |
−0.925330 | + | 0.379163i | \(0.876212\pi\) | |||||||
\(12\) | 2.66054 | − | 4.55118i | 0.768030 | − | 1.31381i | ||||
\(13\) | 0.202318 | + | 0.108141i | 0.0561128 | + | 0.0299929i | 0.499215 | − | 0.866478i | \(-0.333622\pi\) |
−0.443102 | + | 0.896471i | \(0.646122\pi\) | |||||||
\(14\) | −4.67171 | + | 4.49688i | −1.24857 | + | 1.20184i | ||||
\(15\) | 1.00871 | + | 2.43524i | 0.260448 | + | 0.628777i | ||||
\(16\) | −2.60471 | − | 3.03570i | −0.651177 | − | 0.758926i | ||||
\(17\) | 0.635942 | − | 1.53530i | 0.154239 | − | 0.372365i | −0.827806 | − | 0.561015i | \(-0.810411\pi\) |
0.982044 | + | 0.188650i | \(0.0604111\pi\) | |||||||
\(18\) | 2.03787 | + | 5.19799i | 0.480330 | + | 1.22518i | ||||
\(19\) | −6.29184 | + | 1.90861i | −1.44345 | + | 0.437865i | −0.912338 | − | 0.409438i | \(-0.865725\pi\) |
−0.531109 | + | 0.847303i | \(0.678225\pi\) | |||||||
\(20\) | 1.99640 | − | 0.120014i | 0.446408 | − | 0.0268359i | ||||
\(21\) | −1.18462 | − | 12.0277i | −0.258506 | − | 2.62466i | ||||
\(22\) | 0.520943 | − | 4.42299i | 0.111065 | − | 0.942984i | ||||
\(23\) | 1.91576 | − | 1.28007i | 0.399463 | − | 0.266913i | −0.339571 | − | 0.940580i | \(-0.610282\pi\) |
0.739035 | + | 0.673667i | \(0.235282\pi\) | |||||||
\(24\) | 7.44916 | − | 0.305416i | 1.52055 | − | 0.0623429i | ||||
\(25\) | −0.555570 | + | 0.831470i | −0.111114 | + | 0.166294i | ||||
\(26\) | 0.0256384 | + | 0.323414i | 0.00502811 | + | 0.0634267i | ||||
\(27\) | −2.39100 | − | 0.725303i | −0.460149 | − | 0.139585i | ||||
\(28\) | −8.91931 | − | 2.13060i | −1.68559 | − | 0.402646i | ||||
\(29\) | −4.93048 | − | 6.00781i | −0.915568 | − | 1.11562i | −0.992940 | − | 0.118620i | \(-0.962153\pi\) |
0.0773719 | − | 0.997002i | \(-0.475347\pi\) | |||||||
\(30\) | −2.12972 | + | 3.05943i | −0.388832 | + | 0.558573i | ||||
\(31\) | 3.13804 | − | 3.13804i | 0.563608 | − | 0.563608i | −0.366722 | − | 0.930330i | \(-0.619520\pi\) |
0.930330 | + | 0.366722i | \(0.119520\pi\) | |||||||
\(32\) | 1.62669 | − | 5.41792i | 0.287561 | − | 0.957762i | ||||
\(33\) | 5.86955 | + | 5.86955i | 1.02176 | + | 1.02176i | ||||
\(34\) | 2.31330 | − | 0.414462i | 0.396728 | − | 0.0710796i | ||||
\(35\) | 3.54435 | − | 2.90877i | 0.599105 | − | 0.491673i | ||||
\(36\) | −4.63378 | + | 6.39313i | −0.772296 | + | 1.06552i | ||||
\(37\) | 2.62619 | − | 8.65738i | 0.431743 | − | 1.42326i | −0.423905 | − | 0.905707i | \(-0.639341\pi\) |
0.855648 | − | 0.517558i | \(-0.173159\pi\) | |||||||
\(38\) | −7.07399 | − | 6.03480i | −1.14755 | − | 0.978973i | ||||
\(39\) | −0.502780 | − | 0.335947i | −0.0805092 | − | 0.0537945i | ||||
\(40\) | 1.66641 | + | 2.28540i | 0.263483 | + | 0.361354i | ||||
\(41\) | −2.50918 | − | 3.75525i | −0.391868 | − | 0.586472i | 0.582111 | − | 0.813109i | \(-0.302227\pi\) |
−0.973979 | + | 0.226637i | \(0.927227\pi\) | |||||||
\(42\) | 13.4166 | − | 10.5892i | 2.07023 | − | 1.63395i | ||||
\(43\) | 5.63510 | − | 0.555009i | 0.859345 | − | 0.0846381i | 0.341262 | − | 0.939968i | \(-0.389146\pi\) |
0.518083 | + | 0.855330i | \(0.326646\pi\) | |||||||
\(44\) | 5.66374 | − | 2.75508i | 0.853841 | − | 0.415344i | ||||
\(45\) | −1.14602 | − | 3.77792i | −0.170838 | − | 0.563179i | ||||
\(46\) | 2.98608 | + | 1.30412i | 0.440274 | + | 0.192281i | ||||
\(47\) | −11.0074 | − | 4.55942i | −1.60560 | − | 0.665060i | −0.613405 | − | 0.789769i | \(-0.710200\pi\) |
−0.992193 | + | 0.124708i | \(0.960200\pi\) | |||||||
\(48\) | 6.04835 | + | 8.63620i | 0.873005 | + | 1.24653i | ||||
\(49\) | −12.9559 | + | 5.36653i | −1.85085 | + | 0.766646i | ||||
\(50\) | −1.41396 | − | 0.0269616i | −0.199964 | − | 0.00381294i | ||||
\(51\) | −2.06486 | + | 3.86309i | −0.289139 | + | 0.540941i | ||||
\(52\) | −0.365504 | + | 0.277334i | −0.0506863 | + | 0.0384594i | ||||
\(53\) | −0.888015 | + | 1.08205i | −0.121978 | + | 0.148631i | −0.830419 | − | 0.557139i | \(-0.811899\pi\) |
0.708441 | + | 0.705770i | \(0.249399\pi\) | |||||||
\(54\) | −0.961081 | − | 3.40033i | −0.130787 | − | 0.462726i | ||||
\(55\) | −0.614368 | + | 3.08863i | −0.0828413 | + | 0.416471i | ||||
\(56\) | −4.26985 | − | 12.2456i | −0.570583 | − | 1.63639i | ||||
\(57\) | 16.9978 | − | 3.38108i | 2.25142 | − | 0.447835i | ||||
\(58\) | 3.39052 | − | 10.4552i | 0.445198 | − | 1.37284i | ||||
\(59\) | −8.90062 | + | 4.75748i | −1.15876 | + | 0.619371i | −0.934782 | − | 0.355222i | \(-0.884405\pi\) |
−0.223981 | + | 0.974594i | \(0.571905\pi\) | |||||||
\(60\) | −5.26795 | − | 0.200973i | −0.680089 | − | 0.0259456i | ||||
\(61\) | −1.38381 | + | 14.0501i | −0.177179 | + | 1.79893i | 0.337272 | + | 0.941407i | \(0.390496\pi\) |
−0.514451 | + | 0.857520i | \(0.672004\pi\) | |||||||
\(62\) | 6.13102 | + | 1.34153i | 0.778640 | + | 0.170375i | ||||
\(63\) | 18.1017i | 2.28060i | ||||||||
\(64\) | 7.69218 | − | 2.19780i | 0.961523 | − | 0.274725i | ||||
\(65\) | − | 0.229406i | − | 0.0284543i | ||||||
\(66\) | −2.50927 | + | 11.4678i | −0.308870 | + | 1.41159i | ||||
\(67\) | −1.13343 | + | 11.5079i | −0.138471 | + | 1.40591i | 0.635210 | + | 0.772339i | \(0.280913\pi\) |
−0.773681 | + | 0.633576i | \(0.781587\pi\) | |||||||
\(68\) | 2.25883 | + | 2.43802i | 0.273924 | + | 0.295653i | ||||
\(69\) | −5.35613 | + | 2.86291i | −0.644803 | + | 0.344654i | ||||
\(70\) | 6.16812 | + | 2.00026i | 0.737232 | + | 0.239077i | ||||
\(71\) | −9.07252 | + | 1.80464i | −1.07671 | + | 0.214171i | −0.701429 | − | 0.712740i | \(-0.747454\pi\) |
−0.375282 | + | 0.926911i | \(0.622454\pi\) | |||||||
\(72\) | −11.1481 | − | 0.638342i | −1.31382 | − | 0.0752294i | ||||
\(73\) | 0.122829 | − | 0.617502i | 0.0143760 | − | 0.0722731i | −0.972931 | − | 0.231094i | \(-0.925769\pi\) |
0.987307 | + | 0.158821i | \(0.0507694\pi\) | |||||||
\(74\) | 12.3120 | − | 3.47990i | 1.43124 | − | 0.404530i | ||||
\(75\) | 1.67219 | − | 2.03757i | 0.193088 | − | 0.235278i | ||||
\(76\) | 1.78687 | − | 13.0279i | 0.204968 | − | 1.49441i | ||||
\(77\) | 6.80661 | − | 12.7343i | 0.775685 | − | 1.45120i | ||||
\(78\) | 0.0163033 | − | 0.855002i | 0.00184599 | − | 0.0968100i | ||||
\(79\) | 9.87774 | − | 4.09150i | 1.11133 | − | 0.460329i | 0.249936 | − | 0.968262i | \(-0.419590\pi\) |
0.861397 | + | 0.507933i | \(0.169590\pi\) | |||||||
\(80\) | −1.44940 | + | 3.72817i | −0.162048 | + | 0.416822i | ||||
\(81\) | −4.85751 | − | 2.01204i | −0.539723 | − | 0.223561i | ||||
\(82\) | 2.55631 | − | 5.85329i | 0.282298 | − | 0.646388i | ||||
\(83\) | −1.51380 | − | 4.99033i | −0.166161 | − | 0.547760i | 0.833830 | − | 0.552022i | \(-0.186143\pi\) |
−0.999991 | + | 0.00426176i | \(0.998643\pi\) | |||||||
\(84\) | 22.8466 | + | 7.89341i | 2.49277 | + | 0.861241i | ||||
\(85\) | −1.65379 | + | 0.162885i | −0.179379 | + | 0.0176673i | ||||
\(86\) | 4.96116 | + | 6.28584i | 0.534975 | + | 0.677819i | ||||
\(87\) | 11.3814 | + | 17.0335i | 1.22022 | + | 1.82619i | ||||
\(88\) | 7.60251 | + | 4.64099i | 0.810430 | + | 0.494731i | ||||
\(89\) | 4.70001 | + | 3.14045i | 0.498201 | + | 0.332887i | 0.779152 | − | 0.626835i | \(-0.215650\pi\) |
−0.280951 | + | 0.959722i | \(0.590650\pi\) | |||||||
\(90\) | 3.62358 | − | 4.24755i | 0.381958 | − | 0.447732i | ||||
\(91\) | −0.305337 | + | 1.00656i | −0.0320080 | + | 0.105516i | ||||
\(92\) | 0.726050 | + | 4.55057i | 0.0756959 | + | 0.474430i | ||||
\(93\) | −9.04244 | + | 7.42094i | −0.937657 | + | 0.769515i | ||||
\(94\) | −2.97151 | − | 16.5853i | −0.306488 | − | 1.71065i | ||||
\(95\) | 4.64920 | + | 4.64920i | 0.476997 | + | 0.476997i | ||||
\(96\) | −5.66691 | + | 13.7920i | −0.578377 | + | 1.40764i | ||||
\(97\) | −4.23813 | + | 4.23813i | −0.430317 | + | 0.430317i | −0.888736 | − | 0.458419i | \(-0.848416\pi\) |
0.458419 | + | 0.888736i | \(0.348416\pi\) | |||||||
\(98\) | −16.2767 | − | 11.3305i | −1.64420 | − | 1.14455i | ||||
\(99\) | −7.88712 | − | 9.61049i | −0.792686 | − | 0.965890i | ||||
\(100\) | −1.04694 | − | 1.70409i | −0.104694 | − | 0.170409i | ||||
\(101\) | 2.69341 | + | 0.817036i | 0.268004 | + | 0.0812981i | 0.421427 | − | 0.906863i | \(-0.361530\pi\) |
−0.153422 | + | 0.988161i | \(0.549030\pi\) | |||||||
\(102\) | −6.17532 | + | 0.489545i | −0.611448 | + | 0.0484721i | ||||
\(103\) | −8.09979 | + | 12.1222i | −0.798096 | + | 1.19444i | 0.179461 | + | 0.983765i | \(0.442565\pi\) |
−0.977557 | + | 0.210671i | \(0.932435\pi\) | |||||||
\(104\) | −0.609135 | − | 0.223541i | −0.0597306 | − | 0.0219200i | ||||
\(105\) | −10.0491 | + | 6.71456i | −0.980687 | + | 0.655274i | ||||
\(106\) | −1.96601 | − | 0.231558i | −0.190955 | − | 0.0224909i | ||||
\(107\) | 0.949935 | + | 9.64485i | 0.0918337 | + | 0.932403i | 0.925149 | + | 0.379605i | \(0.123940\pi\) |
−0.833315 | + | 0.552798i | \(0.813560\pi\) | |||||||
\(108\) | 3.31514 | − | 3.73921i | 0.318999 | − | 0.359806i | ||||
\(109\) | −3.44449 | + | 1.04488i | −0.329923 | + | 0.100081i | −0.450900 | − | 0.892574i | \(-0.648897\pi\) |
0.120978 | + | 0.992655i | \(0.461397\pi\) | |||||||
\(110\) | −4.14630 | + | 1.62555i | −0.395334 | + | 0.154990i | ||||
\(111\) | −9.12575 | + | 22.0315i | −0.866178 | + | 2.09114i | ||||
\(112\) | 11.3217 | − | 14.4289i | 1.06980 | − | 1.36341i | ||||
\(113\) | −1.13475 | − | 2.73952i | −0.106748 | − | 0.257712i | 0.861475 | − | 0.507799i | \(-0.169541\pi\) |
−0.968223 | + | 0.250087i | \(0.919541\pi\) | |||||||
\(114\) | 16.9973 | + | 17.6581i | 1.59194 | + | 1.65383i | ||||
\(115\) | −2.03200 | − | 1.08613i | −0.189485 | − | 0.101282i | ||||
\(116\) | 15.0358 | − | 3.94183i | 1.39604 | − | 0.365990i | ||||
\(117\) | 0.700095 | + | 0.574553i | 0.0647238 | + | 0.0531175i | ||||
\(118\) | −12.4568 | − | 6.96685i | −1.14674 | − | 0.641350i | ||||
\(119\) | 7.47314 | + | 1.48650i | 0.685062 | + | 0.136267i | ||||
\(120\) | −3.78086 | − | 6.42560i | −0.345144 | − | 0.586575i | ||||
\(121\) | −0.211262 | − | 1.06208i | −0.0192056 | − | 0.0965531i | ||||
\(122\) | −17.7846 | + | 9.07447i | −1.61014 | + | 0.821564i | ||||
\(123\) | 5.61185 | + | 10.4990i | 0.506004 | + | 0.946666i | ||||
\(124\) | 3.08151 | + | 8.32361i | 0.276728 | + | 0.747482i | ||||
\(125\) | 0.995185 | + | 0.0980171i | 0.0890120 | + | 0.00876692i | ||||
\(126\) | −21.5526 | + | 13.8140i | −1.92006 | + | 1.23065i | ||||
\(127\) | −1.89410 | −0.168074 | −0.0840372 | − | 0.996463i | \(-0.526781\pi\) | ||||
−0.0840372 | + | 0.996463i | \(0.526781\pi\) | |||||||
\(128\) | 8.48696 | + | 7.48141i | 0.750148 | + | 0.661269i | ||||
\(129\) | −14.9254 | −1.31411 | ||||||||
\(130\) | 0.273140 | − | 0.175067i | 0.0239559 | − | 0.0153544i | ||||
\(131\) | 6.00421 | + | 0.591363i | 0.524590 | + | 0.0516676i | 0.356847 | − | 0.934163i | \(-0.383852\pi\) |
0.167744 | + | 0.985831i | \(0.446352\pi\) | |||||||
\(132\) | −15.5689 | + | 5.76382i | −1.35510 | + | 0.501676i | ||||
\(133\) | −14.2112 | − | 26.5873i | −1.23227 | − | 2.30541i | ||||
\(134\) | −14.5667 | + | 7.43257i | −1.25838 | + | 0.642077i | ||||
\(135\) | 0.487451 | + | 2.45058i | 0.0419531 | + | 0.210912i | ||||
\(136\) | −1.17901 | + | 4.55000i | −0.101099 | + | 0.390159i | ||||
\(137\) | −0.231053 | − | 0.0459594i | −0.0197402 | − | 0.00392657i | 0.185210 | − | 0.982699i | \(-0.440703\pi\) |
−0.204951 | + | 0.978772i | \(0.565703\pi\) | |||||||
\(138\) | −7.49615 | − | 4.19244i | −0.638115 | − | 0.356885i | ||||
\(139\) | −13.7216 | − | 11.2610i | −1.16385 | − | 0.955149i | −0.164341 | − | 0.986404i | \(-0.552550\pi\) |
−0.999511 | + | 0.0312543i | \(0.990050\pi\) | |||||||
\(140\) | 2.32551 | + | 8.87049i | 0.196541 | + | 0.749693i | ||||
\(141\) | 27.6967 | + | 14.8042i | 2.33248 | + | 1.24674i | ||||
\(142\) | −9.07223 | − | 9.42494i | −0.761325 | − | 0.790923i | ||||
\(143\) | −0.276463 | − | 0.667440i | −0.0231190 | − | 0.0558141i | ||||
\(144\) | −7.74748 | − | 13.7605i | −0.645623 | − | 1.14671i | ||||
\(145\) | −2.97420 | + | 7.18036i | −0.246994 | + | 0.596297i | ||||
\(146\) | 0.828958 | − | 0.324992i | 0.0686050 | − | 0.0268965i | ||||
\(147\) | 35.3725 | − | 10.7301i | 2.91747 | − | 0.885006i | ||||
\(148\) | 13.5390 | + | 12.0035i | 1.11290 | + | 0.986682i | ||||
\(149\) | −0.540111 | − | 5.48384i | −0.0442476 | − | 0.449254i | −0.991626 | − | 0.129139i | \(-0.958779\pi\) |
0.947379 | − | 0.320114i | \(-0.103721\pi\) | |||||||
\(150\) | 3.70212 | + | 0.436039i | 0.302277 | + | 0.0356024i | ||||
\(151\) | 2.18514 | − | 1.46006i | 0.177824 | − | 0.118818i | −0.463473 | − | 0.886111i | \(-0.653397\pi\) |
0.641297 | + | 0.767293i | \(0.278397\pi\) | |||||||
\(152\) | 16.8752 | − | 7.81454i | 1.36876 | − | 0.633843i | ||||
\(153\) | 3.64489 | − | 5.45496i | 0.294672 | − | 0.441008i | ||||
\(154\) | 20.3563 | − | 1.61373i | 1.64036 | − | 0.130038i | ||||
\(155\) | −4.24676 | − | 1.28824i | −0.341108 | − | 0.103474i | ||||
\(156\) | 1.03044 | − | 0.633070i | 0.0825014 | − | 0.0506862i | ||||
\(157\) | 0.234376 | + | 0.285588i | 0.0187053 | + | 0.0227924i | 0.782279 | − | 0.622928i | \(-0.214057\pi\) |
−0.763574 | + | 0.645721i | \(0.776557\pi\) | |||||||
\(158\) | 12.4095 | + | 8.63848i | 0.987251 | + | 0.687241i | ||||
\(159\) | 2.60900 | − | 2.60900i | 0.206907 | − | 0.206907i | ||||
\(160\) | −5.54500 | + | 1.11938i | −0.438370 | + | 0.0884947i | ||||
\(161\) | 7.47018 | + | 7.47018i | 0.588733 | + | 0.588733i | ||||
\(162\) | −1.31131 | − | 7.31901i | −0.103026 | − | 0.575035i | ||||
\(163\) | −0.588093 | + | 0.482635i | −0.0460630 | + | 0.0378029i | −0.657143 | − | 0.753766i | \(-0.728235\pi\) |
0.611080 | + | 0.791569i | \(0.290735\pi\) | |||||||
\(164\) | 8.91998 | − | 1.42319i | 0.696533 | − | 0.111133i | ||||
\(165\) | 2.40959 | − | 7.94337i | 0.187587 | − | 0.618390i | ||||
\(166\) | 4.78646 | − | 5.61069i | 0.371501 | − | 0.435474i | ||||
\(167\) | −15.1477 | − | 10.1214i | −1.17217 | − | 0.783216i | −0.191999 | − | 0.981395i | \(-0.561497\pi\) |
−0.980166 | + | 0.198179i | \(0.936497\pi\) | |||||||
\(168\) | 8.03685 | + | 33.2259i | 0.620056 | + | 2.56343i | ||||
\(169\) | −7.19318 | − | 10.7653i | −0.553321 | − | 0.828104i | ||||
\(170\) | −1.45600 | − | 1.84477i | −0.111670 | − | 0.141488i | ||||
\(171\) | −25.8324 | + | 2.54426i | −1.97545 | + | 0.194565i | ||||
\(172\) | −3.69814 | + | 10.7039i | −0.281981 | + | 0.816164i | ||||
\(173\) | 6.35769 | + | 20.9585i | 0.483366 | + | 1.59344i | 0.771748 | + | 0.635929i | \(0.219383\pi\) |
−0.288381 | + | 0.957516i | \(0.593117\pi\) | |||||||
\(174\) | −11.5952 | + | 26.5501i | −0.879033 | + | 2.01276i | ||||
\(175\) | −4.23611 | − | 1.75465i | −0.320220 | − | 0.132639i | ||||
\(176\) | 0.275985 | + | 12.5936i | 0.0208032 | + | 0.949275i | ||||
\(177\) | 24.5772 | − | 10.1802i | 1.84734 | − | 0.765193i | ||||
\(178\) | −0.152405 | + | 7.99261i | −0.0114232 | + | 0.599072i | ||||
\(179\) | 6.68750 | − | 12.5114i | 0.499847 | − | 0.935149i | −0.497846 | − | 0.867266i | \(-0.665875\pi\) |
0.997693 | − | 0.0678833i | \(-0.0216245\pi\) | |||||||
\(180\) | 7.82259 | + | 1.07292i | 0.583061 | + | 0.0799709i | ||||
\(181\) | 1.15033 | − | 1.40169i | 0.0855037 | − | 0.104187i | −0.728501 | − | 0.685044i | \(-0.759783\pi\) |
0.814005 | + | 0.580858i | \(0.197283\pi\) | |||||||
\(182\) | −1.43147 | + | 0.404595i | −0.106107 | + | 0.0299906i | ||||
\(183\) | 7.26002 | − | 36.4986i | 0.536676 | − | 2.69805i | ||||
\(184\) | −4.86402 | + | 4.33716i | −0.358580 | + | 0.319740i | ||||
\(185\) | −8.87311 | + | 1.76497i | −0.652364 | + | 0.129763i | ||||
\(186\) | −15.7363 | − | 5.10312i | −1.15384 | − | 0.374179i | ||||
\(187\) | −4.61530 | + | 2.46693i | −0.337504 | + | 0.180400i | ||||
\(188\) | 17.4795 | − | 16.1948i | 1.27483 | − | 1.18113i | ||||
\(189\) | 1.12292 | − | 11.4012i | 0.0816804 | − | 0.829315i | ||||
\(190\) | −1.98756 | + | 9.08348i | −0.144193 | + | 0.658985i | ||||
\(191\) | 6.16017i | 0.445734i | 0.974849 | + | 0.222867i | \(0.0715416\pi\) | ||||
−0.974849 | + | 0.222867i | \(0.928458\pi\) | |||||||
\(192\) | −20.7459 | + | 3.77789i | −1.49721 | + | 0.272646i | ||||
\(193\) | 5.44079i | 0.391636i | 0.980640 | + | 0.195818i | \(0.0627362\pi\) | ||||
−0.980640 | + | 0.195818i | \(0.937264\pi\) | |||||||
\(194\) | −8.28035 | − | 1.81183i | −0.594495 | − | 0.130082i | ||||
\(195\) | −0.0592698 | + | 0.601776i | −0.00424440 | + | 0.0430941i | ||||
\(196\) | 1.06921 | − | 28.0264i | 0.0763725 | − | 2.00189i | ||||
\(197\) | 9.32171 | − | 4.98256i | 0.664144 | − | 0.354992i | −0.104632 | − | 0.994511i | \(-0.533366\pi\) |
0.768776 | + | 0.639519i | \(0.220866\pi\) | |||||||
\(198\) | 5.42370 | − | 16.7248i | 0.385446 | − | 1.18858i | ||||
\(199\) | −25.5251 | + | 5.07727i | −1.80943 | + | 0.359918i | −0.980047 | − | 0.198763i | \(-0.936307\pi\) |
−0.829382 | + | 0.558681i | \(0.811307\pi\) | |||||||
\(200\) | 1.23001 | − | 2.54698i | 0.0869745 | − | 0.180098i | ||||
\(201\) | 5.94642 | − | 29.8947i | 0.419428 | − | 2.10861i | ||||
\(202\) | 1.08264 | + | 3.83039i | 0.0761739 | + | 0.269505i | ||||
\(203\) | 22.6069 | − | 27.5466i | 1.58669 | − | 1.93339i | ||||
\(204\) | −5.29547 | − | 6.97900i | −0.370757 | − | 0.488628i | ||||
\(205\) | −2.12902 | + | 3.98311i | −0.148697 | + | 0.278192i | ||||
\(206\) | −20.6144 | − | 0.393079i | −1.43627 | − | 0.0273871i | ||||
\(207\) | 8.40383 | − | 3.48098i | 0.584107 | − | 0.241945i | ||||
\(208\) | −0.198695 | − | 0.895853i | −0.0137770 | − | 0.0621162i | ||||
\(209\) | 19.1294 | + | 7.92364i | 1.32321 | + | 0.548090i | ||||
\(210\) | −15.6634 | − | 6.84070i | −1.08088 | − | 0.472053i | ||||
\(211\) | −3.46520 | − | 11.4232i | −0.238554 | − | 0.786408i | −0.991702 | − | 0.128557i | \(-0.958966\pi\) |
0.753148 | − | 0.657851i | \(-0.228534\pi\) | |||||||
\(212\) | −1.22463 | − | 2.51752i | −0.0841076 | − | 0.172904i | ||||
\(213\) | 24.2653 | − | 2.38992i | 1.66263 | − | 0.163755i | ||||
\(214\) | −10.7586 | + | 8.49135i | −0.735444 | + | 0.580457i | ||||
\(215\) | −3.14584 | − | 4.70809i | −0.214545 | − | 0.321089i | ||||
\(216\) | 6.98195 | + | 1.09362i | 0.475062 | + | 0.0744112i | ||||
\(217\) | 16.9189 | + | 11.3048i | 1.14853 | + | 0.767421i | ||||
\(218\) | −3.87268 | − | 3.30377i | −0.262291 | − | 0.223760i | ||||
\(219\) | −0.481743 | + | 1.58809i | −0.0325532 | + | 0.107313i | ||||
\(220\) | −5.09963 | − | 3.69624i | −0.343817 | − | 0.249200i | ||||
\(221\) | 0.294691 | − | 0.241847i | 0.0198231 | − | 0.0162684i | ||||
\(222\) | −33.1958 | + | 5.94751i | −2.22796 | + | 0.399171i | ||||
\(223\) | −10.4258 | − | 10.4258i | −0.698160 | − | 0.698160i | 0.265854 | − | 0.964013i | \(-0.414346\pi\) |
−0.964013 | + | 0.265854i | \(0.914346\pi\) | |||||||
\(224\) | 25.8196 | + | 2.46885i | 1.72515 | + | 0.164957i | ||||
\(225\) | −2.79160 | + | 2.79160i | −0.186106 | + | 0.186106i | ||||
\(226\) | 2.39582 | − | 3.44170i | 0.159368 | − | 0.228938i | ||||
\(227\) | 4.89760 | + | 5.96774i | 0.325065 | + | 0.396093i | 0.909742 | − | 0.415173i | \(-0.136279\pi\) |
−0.584678 | + | 0.811266i | \(0.698779\pi\) | |||||||
\(228\) | −8.05325 | + | 33.7132i | −0.533339 | + | 2.23271i | ||||
\(229\) | −26.9919 | − | 8.18791i | −1.78368 | − | 0.541072i | −0.786598 | − | 0.617466i | \(-0.788159\pi\) |
−0.997078 | + | 0.0763937i | \(0.975659\pi\) | |||||||
\(230\) | −0.257503 | − | 3.24825i | −0.0169792 | − | 0.214183i | ||||
\(231\) | −21.1451 | + | 31.6459i | −1.39125 | + | 2.08215i | ||||
\(232\) | 16.1677 | + | 14.8941i | 1.06146 | + | 0.977847i | ||||
\(233\) | −14.2092 | + | 9.49430i | −0.930877 | + | 0.621992i | −0.925808 | − | 0.377995i | \(-0.876614\pi\) |
−0.00506927 | + | 0.999987i | \(0.501614\pi\) | |||||||
\(234\) | −0.149820 | + | 1.27202i | −0.00979403 | + | 0.0831547i | ||||
\(235\) | 1.16781 | + | 11.8570i | 0.0761796 | + | 0.773464i | ||||
\(236\) | −1.21122 | − | 20.1482i | −0.0788435 | − | 1.31154i | ||||
\(237\) | −26.9684 | + | 8.18076i | −1.75178 | + | 0.531397i | ||||
\(238\) | 3.93312 | + | 10.0322i | 0.254947 | + | 0.650293i | ||||
\(239\) | 8.21692 | − | 19.8374i | 0.531508 | − | 1.28317i | −0.399016 | − | 0.916944i | \(-0.630648\pi\) |
0.930524 | − | 0.366231i | \(-0.119352\pi\) | |||||||
\(240\) | 4.76528 | − | 9.40525i | 0.307597 | − | 0.607106i | ||||
\(241\) | 11.2213 | + | 27.0905i | 0.722825 | + | 1.74505i | 0.665140 | + | 0.746719i | \(0.268372\pi\) |
0.0576846 | + | 0.998335i | \(0.481628\pi\) | |||||||
\(242\) | 1.10334 | − | 1.06205i | 0.0709254 | − | 0.0682712i | ||||
\(243\) | 18.8330 | + | 10.0665i | 1.20814 | + | 0.645764i | ||||
\(244\) | −24.3765 | − | 14.2501i | −1.56054 | − | 0.912266i | ||||
\(245\) | 10.8402 | + | 8.89635i | 0.692557 | + | 0.568367i | ||||
\(246\) | −8.21799 | + | 14.6939i | −0.523960 | + | 0.936847i | ||||
\(247\) | −1.47935 | − | 0.294261i | −0.0941288 | − | 0.0187234i | ||||
\(248\) | −7.55883 | + | 10.0210i | −0.479986 | + | 0.636334i | ||||
\(249\) | 2.68168 | + | 13.4817i | 0.169945 | + | 0.854370i | ||||
\(250\) | 0.642757 | + | 1.25971i | 0.0406515 | + | 0.0796709i | ||||
\(251\) | −13.7756 | − | 25.7723i | −0.869506 | − | 1.62673i | −0.775666 | − | 0.631143i | \(-0.782586\pi\) |
−0.0938394 | − | 0.995587i | \(-0.529914\pi\) | |||||||
\(252\) | −32.8951 | − | 15.1195i | −2.07219 | − | 0.952437i | ||||
\(253\) | −7.22089 | − | 0.711196i | −0.453973 | − | 0.0447125i | ||||
\(254\) | −1.44546 | − | 2.25520i | −0.0906959 | − | 0.141504i | ||||
\(255\) | 4.38031 | 0.274306 | ||||||||
\(256\) | −2.43098 | + | 15.8142i | −0.151936 | + | 0.988390i | ||||
\(257\) | 17.7530 | 1.10740 | 0.553700 | − | 0.832716i | \(-0.313215\pi\) | ||||
0.553700 | + | 0.832716i | \(0.313215\pi\) | |||||||
\(258\) | −11.3901 | − | 17.7708i | −0.709115 | − | 1.10636i | ||||
\(259\) | 41.2816 | + | 4.06589i | 2.56512 | + | 0.252642i | ||||
\(260\) | 0.416885 | + | 0.191611i | 0.0258541 | + | 0.0118832i | ||||
\(261\) | −14.4639 | − | 27.0600i | −0.895292 | − | 1.67497i | ||||
\(262\) | 3.87792 | + | 7.60015i | 0.239579 | + | 0.469539i | ||||
\(263\) | 4.44515 | + | 22.3473i | 0.274100 | + | 1.37799i | 0.835064 | + | 0.550152i | \(0.185430\pi\) |
−0.560964 | + | 0.827840i | \(0.689570\pi\) | |||||||
\(264\) | −18.7438 | − | 14.1384i | −1.15360 | − | 0.870160i | ||||
\(265\) | 1.37289 | + | 0.273085i | 0.0843359 | + | 0.0167755i | ||||
\(266\) | 20.8109 | − | 37.2101i | 1.27600 | − | 2.28150i | ||||
\(267\) | −11.5177 | − | 9.45232i | −0.704871 | − | 0.578473i | ||||
\(268\) | −19.9659 | − | 11.6717i | −1.21961 | − | 0.712963i | ||||
\(269\) | −5.33931 | − | 2.85392i | −0.325544 | − | 0.174007i | 0.300526 | − | 0.953773i | \(-0.402838\pi\) |
−0.626070 | + | 0.779767i | \(0.715338\pi\) | |||||||
\(270\) | −2.54577 | + | 2.45050i | −0.154931 | + | 0.149133i | ||||
\(271\) | −3.28191 | − | 7.92324i | −0.199362 | − | 0.481302i | 0.792306 | − | 0.610124i | \(-0.208880\pi\) |
−0.991668 | + | 0.128822i | \(0.958880\pi\) | |||||||
\(272\) | −6.31716 | + | 2.06848i | −0.383034 | + | 0.125420i | ||||
\(273\) | 1.06102 | − | 2.56152i | 0.0642157 | − | 0.155030i | ||||
\(274\) | −0.121604 | − | 0.310175i | −0.00734635 | − | 0.0187383i | ||||
\(275\) | 3.01354 | − | 0.914148i | 0.181723 | − | 0.0551252i | ||||
\(276\) | −0.728875 | − | 12.1246i | −0.0438731 | − | 0.729817i | ||||
\(277\) | 1.48849 | + | 15.1129i | 0.0894346 | + | 0.908044i | 0.930300 | + | 0.366800i | \(0.119547\pi\) |
−0.840865 | + | 0.541244i | \(0.817953\pi\) | |||||||
\(278\) | 2.93642 | − | 24.9312i | 0.176115 | − | 1.49527i | ||||
\(279\) | 14.5676 | − | 9.73373i | 0.872137 | − | 0.582743i | ||||
\(280\) | −8.78689 | + | 9.53823i | −0.525117 | + | 0.570018i | ||||
\(281\) | −4.12550 | + | 6.17425i | −0.246107 | + | 0.368325i | −0.933871 | − | 0.357609i | \(-0.883592\pi\) |
0.687765 | + | 0.725934i | \(0.258592\pi\) | |||||||
\(282\) | 3.50982 | + | 44.2743i | 0.209007 | + | 2.63650i | ||||
\(283\) | −2.27710 | − | 0.690751i | −0.135360 | − | 0.0410609i | 0.221878 | − | 0.975074i | \(-0.428781\pi\) |
−0.357238 | + | 0.934014i | \(0.616281\pi\) | |||||||
\(284\) | 4.29839 | − | 17.9943i | 0.255062 | − | 1.06776i | ||||
\(285\) | −10.9946 | − | 13.3969i | −0.651263 | − | 0.793566i | ||||
\(286\) | 0.583703 | − | 0.838514i | 0.0345151 | − | 0.0495824i | ||||
\(287\) | 14.6430 | − | 14.6430i | 0.864347 | − | 0.864347i | ||||
\(288\) | 10.4715 | − | 19.7256i | 0.617039 | − | 1.16234i | ||||
\(289\) | 10.0681 | + | 10.0681i | 0.592241 | + | 0.592241i | ||||
\(290\) | −10.8189 | + | 1.93837i | −0.635311 | + | 0.113825i | ||||
\(291\) | 12.2124 | − | 10.0225i | 0.715905 | − | 0.587528i | ||||
\(292\) | 1.01955 | + | 0.738978i | 0.0596649 | + | 0.0432454i | ||||
\(293\) | −5.61662 | + | 18.5155i | −0.328126 | + | 1.08169i | 0.625382 | + | 0.780319i | \(0.284943\pi\) |
−0.953508 | + | 0.301368i | \(0.902557\pi\) | |||||||
\(294\) | 39.7697 | + | 33.9274i | 2.31942 | + | 1.97869i | ||||
\(295\) | 8.39145 | + | 5.60699i | 0.488569 | + | 0.326451i | ||||
\(296\) | −3.95979 | + | 25.2804i | −0.230158 | + | 1.46939i | ||||
\(297\) | 4.37146 | + | 6.54236i | 0.253658 | + | 0.379626i | ||||
\(298\) | 6.11711 | − | 4.82798i | 0.354354 | − | 0.279678i | ||||
\(299\) | 0.526020 | − | 0.0518085i | 0.0304205 | − | 0.00299616i | ||||
\(300\) | 2.30605 | + | 4.74065i | 0.133140 | + | 0.273702i | ||||
\(301\) | 7.53657 | + | 24.8447i | 0.434401 | + | 1.43203i | ||||
\(302\) | 3.40596 | + | 1.48749i | 0.195991 | + | 0.0855955i | ||||
\(303\) | −6.85425 | − | 2.83912i | −0.393766 | − | 0.163103i | ||||
\(304\) | 22.1824 | + | 14.1288i | 1.27225 | + | 0.810341i | ||||
\(305\) | 13.0434 | − | 5.40274i | 0.746862 | − | 0.309360i | ||||
\(306\) | 9.27644 | + | 0.176885i | 0.530299 | + | 0.0101118i | ||||
\(307\) | 10.7127 | − | 20.0420i | 0.611406 | − | 1.14386i | −0.365625 | − | 0.930762i | \(-0.619145\pi\) |
0.977031 | − | 0.213097i | \(-0.0683551\pi\) | |||||||
\(308\) | 17.4560 | + | 23.0055i | 0.994646 | + | 1.31086i | ||||
\(309\) | 24.3793 | − | 29.7062i | 1.38689 | − | 1.68993i | ||||
\(310\) | −1.70702 | − | 6.03947i | −0.0969521 | − | 0.343019i | ||||
\(311\) | −2.86015 | + | 14.3790i | −0.162184 | + | 0.815355i | 0.810950 | + | 0.585116i | \(0.198951\pi\) |
−0.973134 | + | 0.230240i | \(0.926049\pi\) | |||||||
\(312\) | 1.54013 | + | 0.743769i | 0.0871924 | + | 0.0421076i | ||||
\(313\) | −7.13492 | + | 1.41922i | −0.403290 | + | 0.0802193i | −0.392568 | − | 0.919723i | \(-0.628413\pi\) |
−0.0107223 | + | 0.999943i | \(0.503413\pi\) | |||||||
\(314\) | −0.161172 | + | 0.497000i | −0.00909549 | + | 0.0280473i | ||||
\(315\) | 15.9643 | − | 8.53308i | 0.899484 | − | 0.480784i | ||||
\(316\) | −0.815181 | + | 21.3676i | −0.0458575 | + | 1.20202i | ||||
\(317\) | −2.60767 | + | 26.4761i | −0.146461 | + | 1.48705i | 0.588256 | + | 0.808675i | \(0.299815\pi\) |
−0.734717 | + | 0.678373i | \(0.762685\pi\) | |||||||
\(318\) | 5.09740 | + | 1.11536i | 0.285848 | + | 0.0625465i | ||||
\(319\) | 24.4750i | 1.37034i | ||||||||
\(320\) | −5.56436 | − | 5.74786i | −0.311057 | − | 0.321315i | ||||
\(321\) | − | 25.5458i | − | 1.42583i | ||||||
\(322\) | −3.19355 | + | 14.5951i | −0.177970 | + | 0.813350i | ||||
\(323\) | −1.07096 | + | 10.8736i | −0.0595897 | + | 0.605025i | ||||
\(324\) | 7.71360 | − | 7.14668i | 0.428534 | − | 0.397038i | ||||
\(325\) | −0.202318 | + | 0.108141i | −0.0112226 | + | 0.00599859i | ||||
\(326\) | −1.02344 | − | 0.331892i | −0.0566831 | − | 0.0183818i | ||||
\(327\) | 9.30554 | − | 1.85099i | 0.514598 | − | 0.102360i | ||||
\(328\) | 8.50166 | + | 9.53440i | 0.469426 | + | 0.526449i | ||||
\(329\) | 10.6576 | − | 53.5792i | 0.587570 | − | 2.95391i | ||||
\(330\) | 11.2965 | − | 3.19289i | 0.621854 | − | 0.175763i | ||||
\(331\) | 3.66760 | − | 4.46898i | 0.201589 | − | 0.245637i | −0.662396 | − | 0.749154i | \(-0.730461\pi\) |
0.863986 | + | 0.503516i | \(0.167961\pi\) | |||||||
\(332\) | 10.3330 | + | 1.41725i | 0.567098 | + | 0.0777815i | ||||
\(333\) | 16.8367 | − | 31.4992i | 0.922643 | − | 1.72614i | ||||
\(334\) | 0.491186 | − | 25.7595i | 0.0268765 | − | 1.40949i | ||||
\(335\) | 10.6834 | − | 4.42520i | 0.583695 | − | 0.241774i | ||||
\(336\) | −33.4269 | + | 34.9248i | −1.82359 | + | 1.90530i | ||||
\(337\) | 0.304565 | + | 0.126155i | 0.0165907 | + | 0.00687210i | 0.390963 | − | 0.920406i | \(-0.372142\pi\) |
−0.374373 | + | 0.927278i | \(0.622142\pi\) | |||||||
\(338\) | 7.32830 | − | 16.7799i | 0.398607 | − | 0.912706i | ||||
\(339\) | 2.26887 | + | 7.47948i | 0.123228 | + | 0.406229i | ||||
\(340\) | 1.08533 | − | 3.14139i | 0.0588605 | − | 0.170366i | ||||
\(341\) | −13.9081 | + | 1.36983i | −0.753168 | + | 0.0741806i | ||||
\(342\) | −22.7429 | − | 28.8154i | −1.22979 | − | 1.55816i | ||||
\(343\) | −17.8912 | − | 26.7760i | −0.966031 | − | 1.44577i | ||||
\(344\) | −15.5667 | + | 3.76535i | −0.839299 | + | 0.203014i | ||||
\(345\) | 5.04973 | + | 3.37412i | 0.271868 | + | 0.181657i | ||||
\(346\) | −20.1023 | + | 23.5639i | −1.08070 | + | 1.26680i | ||||
\(347\) | −8.84433 | + | 29.1558i | −0.474788 | + | 1.56517i | 0.313331 | + | 0.949644i | \(0.398555\pi\) |
−0.788119 | + | 0.615523i | \(0.788945\pi\) | |||||||
\(348\) | −40.4603 | + | 6.45550i | −2.16890 | + | 0.346051i | ||||
\(349\) | −24.7864 | + | 20.3416i | −1.32678 | + | 1.08886i | −0.337740 | + | 0.941240i | \(0.609662\pi\) |
−0.989044 | + | 0.147623i | \(0.952838\pi\) | |||||||
\(350\) | −1.14356 | − | 6.38272i | −0.0611257 | − | 0.341171i | ||||
\(351\) | −0.405307 | − | 0.405307i | −0.0216337 | − | 0.0216337i | ||||
\(352\) | −14.7838 | + | 9.93917i | −0.787978 | + | 0.529760i | ||||
\(353\) | 13.3517 | − | 13.3517i | 0.710641 | − | 0.710641i | −0.256028 | − | 0.966669i | \(-0.582414\pi\) |
0.966669 | + | 0.256028i | \(0.0824139\pi\) | |||||||
\(354\) | 30.8767 | + | 21.4938i | 1.64108 | + | 1.14238i | ||||
\(355\) | 5.86831 | + | 7.15055i | 0.311457 | + | 0.379512i | ||||
\(356\) | −9.63264 | + | 5.91798i | −0.510529 | + | 0.313652i | ||||
\(357\) | −19.2195 | − | 5.83016i | −1.01720 | − | 0.308565i | ||||
\(358\) | 20.0001 | − | 1.58549i | 1.05704 | − | 0.0837960i | ||||
\(359\) | 0.378423 | − | 0.566349i | 0.0199724 | − | 0.0298908i | −0.821349 | − | 0.570426i | \(-0.806778\pi\) |
0.841321 | + | 0.540535i | \(0.181778\pi\) | |||||||
\(360\) | 4.69222 | + | 10.1327i | 0.247302 | + | 0.534039i | ||||
\(361\) | 20.1465 | − | 13.4615i | 1.06034 | − | 0.708499i | ||||
\(362\) | 2.54677 | + | 0.299960i | 0.133855 | + | 0.0157656i | ||||
\(363\) | 0.279778 | + | 2.84064i | 0.0146846 | + | 0.149095i | ||||
\(364\) | −1.57413 | − | 1.39560i | −0.0825068 | − | 0.0731495i | ||||
\(365\) | −0.602489 | + | 0.182763i | −0.0315357 | + | 0.00956625i | ||||
\(366\) | 48.9971 | − | 19.2092i | 2.56112 | − | 1.00408i | ||||
\(367\) | 10.8758 | − | 26.2566i | 0.567715 | − | 1.37058i | −0.335762 | − | 0.941947i | \(-0.608994\pi\) |
0.903477 | − | 0.428638i | \(-0.141006\pi\) | |||||||
\(368\) | −8.87590 | − | 2.48147i | −0.462688 | − | 0.129355i | ||||
\(369\) | −6.82338 | − | 16.4731i | −0.355211 | − | 0.857555i | ||||
\(370\) | −8.87282 | − | 9.21777i | −0.461276 | − | 0.479209i | ||||
\(371\) | −5.66035 | − | 3.02552i | −0.293871 | − | 0.157077i | ||||
\(372\) | −5.93290 | − | 22.6306i | −0.307606 | − | 1.17334i | ||||
\(373\) | 0.248064 | + | 0.203581i | 0.0128443 | + | 0.0105410i | 0.640794 | − | 0.767713i | \(-0.278605\pi\) |
−0.627949 | + | 0.778254i | \(0.716105\pi\) | |||||||
\(374\) | −6.45933 | − | 3.61257i | −0.334004 | − | 0.186801i | ||||
\(375\) | −2.58524 | − | 0.514236i | −0.133501 | − | 0.0265551i | ||||
\(376\) | 32.6215 | + | 8.45300i | 1.68232 | + | 0.435930i | ||||
\(377\) | −0.347833 | − | 1.74867i | −0.0179143 | − | 0.0900613i | ||||
\(378\) | 14.4317 | − | 7.36365i | 0.742285 | − | 0.378745i | ||||
\(379\) | 6.55527 | + | 12.2641i | 0.336722 | + | 0.629962i | 0.992116 | − | 0.125325i | \(-0.0399974\pi\) |
−0.655394 | + | 0.755287i | \(0.727497\pi\) | |||||||
\(380\) | −12.3319 | + | 4.56545i | −0.632615 | + | 0.234202i | ||||
\(381\) | 4.96861 | + | 0.489365i | 0.254549 | + | 0.0250709i | ||||
\(382\) | −7.33455 | + | 4.70104i | −0.375268 | + | 0.240526i | ||||
\(383\) | −14.6457 | −0.748361 | −0.374180 | − | 0.927356i | \(-0.622076\pi\) | ||||
−0.374180 | + | 0.927356i | \(0.622076\pi\) | |||||||
\(384\) | −20.3301 | − | 21.8179i | −1.03746 | − | 1.11339i | ||||
\(385\) | −14.4392 | −0.735891 | ||||||||
\(386\) | −6.47802 | + | 4.15205i | −0.329723 | + | 0.211334i | ||||
\(387\) | 22.2469 | + | 2.19113i | 1.13087 | + | 0.111381i | ||||
\(388\) | −4.16178 | − | 11.2416i | −0.211283 | − | 0.570705i | ||||
\(389\) | 1.42690 | + | 2.66953i | 0.0723465 | + | 0.135351i | 0.915494 | − | 0.402331i | \(-0.131800\pi\) |
−0.843148 | + | 0.537682i | \(0.819300\pi\) | |||||||
\(390\) | −0.761730 | + | 0.388667i | −0.0385717 | + | 0.0196809i | ||||
\(391\) | −0.746978 | − | 3.75531i | −0.0377763 | − | 0.189914i | ||||
\(392\) | 34.1854 | − | 20.1149i | 1.72662 | − | 1.01595i | ||||
\(393\) | −15.5974 | − | 3.10252i | −0.786787 | − | 0.156502i | ||||
\(394\) | 13.0461 | + | 7.29645i | 0.657256 | + | 0.367590i | ||||
\(395\) | −8.26471 | − | 6.78267i | −0.415843 | − | 0.341273i | ||||
\(396\) | 24.0523 | − | 6.30560i | 1.20867 | − | 0.316869i | ||||
\(397\) | −24.2588 | − | 12.9666i | −1.21751 | − | 0.650775i | −0.267673 | − | 0.963510i | \(-0.586255\pi\) |
−0.949840 | + | 0.312735i | \(0.898755\pi\) | |||||||
\(398\) | −25.5243 | − | 26.5166i | −1.27942 | − | 1.32916i | ||||
\(399\) | 30.4096 | + | 73.4153i | 1.52239 | + | 3.67536i | ||||
\(400\) | 3.97119 | − | 0.479191i | 0.198560 | − | 0.0239595i | ||||
\(401\) | 0.0327152 | − | 0.0789815i | 0.00163372 | − | 0.00394415i | −0.923061 | − | 0.384655i | \(-0.874321\pi\) |
0.924694 | + | 0.380710i | \(0.124321\pi\) | |||||||
\(402\) | 40.1317 | − | 15.7336i | 2.00159 | − | 0.784721i | ||||
\(403\) | 0.974231 | − | 0.295530i | 0.0485299 | − | 0.0147214i | ||||
\(404\) | −3.73442 | + | 4.21213i | −0.185794 | + | 0.209561i | ||||
\(405\) | 0.515347 | + | 5.23241i | 0.0256078 | + | 0.260000i | ||||
\(406\) | 50.0502 | + | 5.89495i | 2.48395 | + | 0.292562i | ||||
\(407\) | −23.6887 | + | 15.8283i | −1.17420 | + | 0.784578i | ||||
\(408\) | 4.26833 | − | 11.6309i | 0.211314 | − | 0.575817i | ||||
\(409\) | −13.3535 | + | 19.9850i | −0.660289 | + | 0.988193i | 0.338593 | + | 0.940933i | \(0.390049\pi\) |
−0.998883 | + | 0.0472599i | \(0.984951\pi\) | |||||||
\(410\) | −6.36718 | + | 0.504754i | −0.314453 | + | 0.0249280i | ||||
\(411\) | 0.594224 | + | 0.180256i | 0.0293109 | + | 0.00889137i | ||||
\(412\) | −15.2636 | − | 24.8443i | −0.751981 | − | 1.22399i | ||||
\(413\) | −29.3563 | − | 35.7707i | −1.44453 | − | 1.76016i | ||||
\(414\) | 10.5579 | + | 7.34949i | 0.518890 | + | 0.361208i | ||||
\(415\) | −3.68748 | + | 3.68748i | −0.181011 | + | 0.181011i | ||||
\(416\) | 0.915008 | − | 0.920230i | 0.0448620 | − | 0.0451180i | ||||
\(417\) | 33.0851 | + | 33.0851i | 1.62018 | + | 1.62018i | ||||
\(418\) | 5.16407 | + | 28.8230i | 0.252583 | + | 1.40978i | ||||
\(419\) | −6.14095 | + | 5.03975i | −0.300005 | + | 0.246208i | −0.772337 | − | 0.635213i | \(-0.780912\pi\) |
0.472332 | + | 0.881421i | \(0.343412\pi\) | |||||||
\(420\) | −3.80847 | − | 23.8699i | −0.185834 | − | 1.16473i | ||||
\(421\) | 4.26770 | − | 14.0687i | 0.207995 | − | 0.685668i | −0.789423 | − | 0.613850i | \(-0.789620\pi\) |
0.997418 | − | 0.0718177i | \(-0.0228800\pi\) | |||||||
\(422\) | 10.9566 | − | 12.8433i | 0.533357 | − | 0.625201i | ||||
\(423\) | −39.1097 | − | 26.1323i | −1.90158 | − | 1.27059i | ||||
\(424\) | 2.06291 | − | 3.37929i | 0.100184 | − | 0.164113i | ||||
\(425\) | 0.923245 | + | 1.38173i | 0.0447839 | + | 0.0670239i | ||||
\(426\) | 21.3632 | + | 27.0674i | 1.03505 | + | 1.31142i | ||||
\(427\) | −64.4214 | + | 6.34495i | −3.11757 | + | 0.307054i | ||||
\(428\) | −18.3204 | − | 6.32962i | −0.885551 | − | 0.305954i | ||||
\(429\) | 0.552774 | + | 1.82225i | 0.0266882 | + | 0.0879792i | ||||
\(430\) | 3.20494 | − | 7.33847i | 0.154556 | − | 0.353893i | ||||
\(431\) | −6.48919 | − | 2.68791i | −0.312573 | − | 0.129472i | 0.220882 | − | 0.975301i | \(-0.429107\pi\) |
−0.533455 | + | 0.845829i | \(0.679107\pi\) | |||||||
\(432\) | 4.02606 | + | 9.14758i | 0.193704 | + | 0.440113i | ||||
\(433\) | 26.8808 | − | 11.1344i | 1.29181 | − | 0.535084i | 0.372284 | − | 0.928119i | \(-0.378575\pi\) |
0.919524 | + | 0.393035i | \(0.128575\pi\) | |||||||
\(434\) | −0.548618 | + | 28.7714i | −0.0263345 | + | 1.38107i | ||||
\(435\) | 9.65705 | − | 18.0671i | 0.463020 | − | 0.866250i | ||||
\(436\) | 0.978231 | − | 7.13220i | 0.0468488 | − | 0.341570i | ||||
\(437\) | −9.61050 | + | 11.7104i | −0.459732 | + | 0.560186i | ||||
\(438\) | −2.25848 | + | 0.638346i | −0.107915 | + | 0.0305014i | ||||
\(439\) | 5.52471 | − | 27.7746i | 0.263680 | − | 1.32561i | −0.591092 | − | 0.806604i | \(-0.701303\pi\) |
0.854772 | − | 0.519004i | \(-0.173697\pi\) | |||||||
\(440\) | 0.509189 | − | 8.89256i | 0.0242746 | − | 0.423936i | ||||
\(441\) | −54.2994 | + | 10.8008i | −2.58569 | + | 0.514325i | ||||
\(442\) | 0.512842 | + | 0.166310i | 0.0243934 | + | 0.00791055i | ||||
\(443\) | 6.99902 | − | 3.74106i | 0.332534 | − | 0.177743i | −0.296677 | − | 0.954978i | \(-0.595878\pi\) |
0.629210 | + | 0.777235i | \(0.283378\pi\) | |||||||
\(444\) | −32.4142 | − | 34.9855i | −1.53831 | − | 1.66034i | ||||
\(445\) | 0.554058 | − | 5.62544i | 0.0262648 | − | 0.266671i | ||||
\(446\) | 4.45708 | − | 20.3696i | 0.211049 | − | 0.964527i | ||||
\(447\) | 14.5247i | 0.686996i | ||||||||
\(448\) | 16.7643 | + | 32.6260i | 0.792041 | + | 1.54143i | ||||
\(449\) | − | 8.06954i | − | 0.380825i | −0.981704 | − | 0.190413i | \(-0.939017\pi\) | ||
0.981704 | − | 0.190413i | \(-0.0609826\pi\) | |||||||
\(450\) | −5.45415 | − | 1.19343i | −0.257111 | − | 0.0562586i | ||||
\(451\) | −1.39408 | + | 14.1543i | −0.0656446 | + | 0.666501i | ||||
\(452\) | 5.92616 | + | 0.226084i | 0.278743 | + | 0.0106341i | ||||
\(453\) | −6.10927 | + | 3.26547i | −0.287039 | + | 0.153425i | ||||
\(454\) | −3.36791 | + | 10.3855i | −0.158064 | + | 0.487414i | ||||
\(455\) | 1.03164 | − | 0.205207i | 0.0483642 | − | 0.00962024i | ||||
\(456\) | −46.2860 | + | 16.1392i | −2.16754 | + | 0.755786i | ||||
\(457\) | −0.0419584 | + | 0.210939i | −0.00196273 | + | 0.00986731i | −0.981754 | − | 0.190154i | \(-0.939101\pi\) |
0.979792 | + | 0.200022i | \(0.0641012\pi\) | |||||||
\(458\) | −10.8496 | − | 38.3861i | −0.506968 | − | 1.79367i | ||||
\(459\) | −2.63410 | + | 3.20966i | −0.122949 | + | 0.149814i | ||||
\(460\) | 3.67099 | − | 2.78544i | 0.171161 | − | 0.129872i | ||||
\(461\) | 8.96746 | − | 16.7769i | 0.417656 | − | 0.781380i | −0.581834 | − | 0.813308i | \(-0.697665\pi\) |
0.999490 | + | 0.0319277i | \(0.0101646\pi\) | |||||||
\(462\) | −53.8155 | − | 1.02616i | −2.50372 | − | 0.0477414i | ||||
\(463\) | −28.0010 | + | 11.5984i | −1.30132 | + | 0.539024i | −0.922339 | − | 0.386381i | \(-0.873725\pi\) |
−0.378980 | + | 0.925405i | \(0.623725\pi\) | |||||||
\(464\) | −5.39545 | + | 30.6161i | −0.250478 | + | 1.42132i | ||||
\(465\) | 10.8073 | + | 4.47651i | 0.501175 | + | 0.207593i | ||||
\(466\) | −22.1478 | − | 9.67265i | −1.02598 | − | 0.448077i | ||||
\(467\) | 8.44020 | + | 27.8236i | 0.390566 | + | 1.28752i | 0.903312 | + | 0.428983i | \(0.141128\pi\) |
−0.512746 | + | 0.858540i | \(0.671372\pi\) | |||||||
\(468\) | −1.62886 | + | 0.792343i | −0.0752939 | + | 0.0366261i | ||||
\(469\) | −52.7652 | + | 5.19692i | −2.43647 | + | 0.239972i | ||||
\(470\) | −13.2262 | + | 10.4389i | −0.610080 | + | 0.481511i | ||||
\(471\) | −0.541030 | − | 0.809708i | −0.0249293 | − | 0.0373094i | ||||
\(472\) | 23.0650 | − | 16.8179i | 1.06165 | − | 0.774109i | ||||
\(473\) | −14.8264 | − | 9.90671i | −0.681721 | − | 0.455511i | ||||
\(474\) | −30.3208 | − | 25.8666i | −1.39268 | − | 1.18809i | ||||
\(475\) | 1.90861 | − | 6.29184i | 0.0875730 | − | 0.288689i | ||||
\(476\) | −8.94328 | + | 12.3389i | −0.409915 | + | 0.565552i | ||||
\(477\) | −4.27184 | + | 3.50580i | −0.195594 | + | 0.160520i | ||||
\(478\) | 29.8898 | − | 5.35520i | 1.36713 | − | 0.244941i | ||||
\(479\) | 3.19891 | + | 3.19891i | 0.146162 | + | 0.146162i | 0.776401 | − | 0.630239i | \(-0.217043\pi\) |
−0.630239 | + | 0.776401i | \(0.717043\pi\) | |||||||
\(480\) | 14.8348 | − | 1.50374i | 0.677114 | − | 0.0686358i | ||||
\(481\) | 1.46754 | − | 1.46754i | 0.0669142 | − | 0.0669142i | ||||
\(482\) | −23.6917 | + | 34.0342i | −1.07913 | + | 1.55021i | ||||
\(483\) | −17.6657 | − | 21.5258i | −0.803819 | − | 0.979456i | ||||
\(484\) | 2.10652 | + | 0.503195i | 0.0957508 | + | 0.0228725i | ||||
\(485\) | 5.73554 | + | 1.73986i | 0.260437 | + | 0.0790028i | ||||
\(486\) | 2.38659 | + | 30.1055i | 0.108258 | + | 1.36561i | ||||
\(487\) | 11.7563 | − | 17.5946i | 0.532730 | − | 0.797287i | −0.463310 | − | 0.886196i | \(-0.653338\pi\) |
0.996040 | + | 0.0889096i | \(0.0283382\pi\) | |||||||
\(488\) | −1.63584 | − | 39.8984i | −0.0740509 | − | 1.80611i | ||||
\(489\) | 1.66738 | − | 1.11411i | 0.0754014 | − | 0.0503816i | ||||
\(490\) | −2.31980 | + | 19.6959i | −0.104798 | + | 0.889772i | ||||
\(491\) | −2.00107 | − | 20.3172i | −0.0903069 | − | 0.916902i | −0.928452 | − | 0.371454i | \(-0.878859\pi\) |
0.838145 | − | 0.545448i | \(-0.183641\pi\) | |||||||
\(492\) | −23.7666 | + | 1.42873i | −1.07148 | + | 0.0644123i | ||||
\(493\) | −12.3593 | + | 3.74915i | −0.556635 | + | 0.168853i | ||||
\(494\) | −0.778584 | − | 1.98593i | −0.0350301 | − | 0.0893514i | ||||
\(495\) | −4.75773 | + | 11.4862i | −0.213844 | + | 0.516265i | ||||
\(496\) | −17.6998 | − | 1.35247i | −0.794745 | − | 0.0607278i | ||||
\(497\) | −16.2310 | − | 39.1851i | −0.728060 | − | 1.75769i | ||||
\(498\) | −14.0054 | + | 13.4813i | −0.627598 | + | 0.604111i | ||||
\(499\) | −24.3319 | − | 13.0057i | −1.08924 | − | 0.582213i | −0.173850 | − | 0.984772i | \(-0.555621\pi\) |
−0.915394 | + | 0.402559i | \(0.868121\pi\) | |||||||
\(500\) | −1.00935 | + | 1.72662i | −0.0451395 | + | 0.0772167i | ||||
\(501\) | 37.1204 | + | 30.4640i | 1.65842 | + | 1.36103i | ||||
\(502\) | 20.1729 | − | 36.0694i | 0.900361 | − | 1.60986i | ||||
\(503\) | −10.0505 | − | 1.99917i | −0.448130 | − | 0.0891386i | −0.0341340 | − | 0.999417i | \(-0.510867\pi\) |
−0.413996 | + | 0.910279i | \(0.635867\pi\) | |||||||
\(504\) | −7.10151 | − | 50.7044i | −0.316326 | − | 2.25855i | ||||
\(505\) | −0.549102 | − | 2.76052i | −0.0244347 | − | 0.122842i | ||||
\(506\) | −4.66373 | − | 9.14022i | −0.207328 | − | 0.406333i | ||||
\(507\) | 16.0878 | + | 30.0981i | 0.714482 | + | 1.33670i | ||||
\(508\) | 1.58205 | − | 3.44204i | 0.0701923 | − | 0.152716i | ||||
\(509\) | 24.0565 | + | 2.36936i | 1.06629 | + | 0.105020i | 0.615908 | − | 0.787818i | \(-0.288789\pi\) |
0.450378 | + | 0.892838i | \(0.351289\pi\) | |||||||
\(510\) | 3.34277 | + | 5.21538i | 0.148020 | + | 0.230941i | ||||
\(511\) | 2.88679 | 0.127704 | ||||||||
\(512\) | −20.6843 | + | 9.17397i | −0.914123 | + | 0.405436i | ||||
\(513\) | 16.4281 | 0.725319 | ||||||||
\(514\) | 13.5479 | + | 21.1374i | 0.597573 | + | 0.932332i | ||||
\(515\) | 14.5090 | + | 1.42902i | 0.639345 | + | 0.0629700i | ||||
\(516\) | 12.4664 | − | 27.1230i | 0.548805 | − | 1.19402i | ||||
\(517\) | 17.6868 | + | 33.0897i | 0.777865 | + | 1.45528i | ||||
\(518\) | 26.6624 | + | 52.2544i | 1.17148 | + | 2.29593i | ||||
\(519\) | −11.2626 | − | 56.6208i | −0.494373 | − | 2.48538i | ||||
\(520\) | 0.0899986 | + | 0.642585i | 0.00394670 | + | 0.0281792i | ||||
\(521\) | 4.39455 | + | 0.874131i | 0.192529 | + | 0.0382964i | 0.290413 | − | 0.956901i | \(-0.406207\pi\) |
−0.0978839 | + | 0.995198i | \(0.531207\pi\) | |||||||
\(522\) | 21.1809 | − | 37.8717i | 0.927062 | − | 1.65760i | ||||
\(523\) | 7.79084 | + | 6.39377i | 0.340670 | + | 0.279580i | 0.789135 | − | 0.614220i | \(-0.210529\pi\) |
−0.448465 | + | 0.893800i | \(0.648029\pi\) | |||||||
\(524\) | −6.08967 | + | 10.4171i | −0.266029 | + | 0.455075i | ||||
\(525\) | 10.6588 | + | 5.69725i | 0.465188 | + | 0.248648i | ||||
\(526\) | −23.2153 | + | 22.3466i | −1.01224 | + | 0.974356i | ||||
\(527\) | −2.82222 | − | 6.81344i | −0.122938 | − | 0.296798i | ||||
\(528\) | 2.52974 | − | 33.1067i | 0.110093 | − | 1.44078i | ||||
\(529\) | −6.77016 | + | 16.3446i | −0.294355 | + | 0.710636i | ||||
\(530\) | 0.722553 | + | 1.84302i | 0.0313857 | + | 0.0800556i | ||||
\(531\) | −38.1279 | + | 11.5660i | −1.65461 | + | 0.501920i | ||||
\(532\) | 60.1854 | − | 3.61806i | 2.60937 | − | 0.156863i | ||||
\(533\) | −0.101554 | − | 1.03110i | −0.00439881 | − | 0.0446619i | ||||
\(534\) | 2.46478 | − | 20.9268i | 0.106661 | − | 0.905592i | ||||
\(535\) | 8.05820 | − | 5.38432i | 0.348386 | − | 0.232784i | ||||
\(536\) | −1.33986 | − | 32.6793i | −0.0578729 | − | 1.41153i | ||||
\(537\) | −20.7751 | + | 31.0922i | −0.896513 | + | 1.34173i | ||||
\(538\) | −0.676617 | − | 8.53513i | −0.0291710 | − | 0.367976i | ||||
\(539\) | 42.2601 | + | 12.8195i | 1.82027 | + | 0.552174i | ||||
\(540\) | −4.86043 | − | 1.16104i | −0.209160 | − | 0.0499631i | ||||
\(541\) | 16.3441 | + | 19.9154i | 0.702690 | + | 0.856230i | 0.994977 | − | 0.100101i | \(-0.0319165\pi\) |
−0.292288 | + | 0.956330i | \(0.594416\pi\) | |||||||
\(542\) | 6.92919 | − | 9.95408i | 0.297634 | − | 0.427564i | ||||
\(543\) | −3.37970 | + | 3.37970i | −0.145037 | + | 0.145037i | ||||
\(544\) | −7.28366 | − | 5.94294i | −0.312284 | − | 0.254801i | ||||
\(545\) | 2.54522 | + | 2.54522i | 0.109025 | + | 0.109025i | ||||
\(546\) | 3.85955 | − | 0.691495i | 0.165174 | − | 0.0295933i | ||||
\(547\) | 29.1531 | − | 23.9253i | 1.24650 | − | 1.02297i | 0.247967 | − | 0.968769i | \(-0.420238\pi\) |
0.998530 | − | 0.0542046i | \(-0.0172623\pi\) | |||||||
\(548\) | 0.276507 | − | 0.381491i | 0.0118118 | − | 0.0162965i | ||||
\(549\) | −16.1795 | + | 53.3368i | −0.690526 | + | 2.27636i | ||||
\(550\) | 3.38816 | + | 2.89043i | 0.144472 | + | 0.123248i | ||||
\(551\) | 42.4884 | + | 28.3898i | 1.81007 | + | 1.20945i | ||||
\(552\) | 13.8798 | − | 10.1205i | 0.590765 | − | 0.430759i | ||||
\(553\) | 27.2353 | + | 40.7606i | 1.15816 | + | 1.73332i | ||||
\(554\) | −16.8581 | + | 13.3054i | −0.716231 | + | 0.565293i | ||||
\(555\) | 23.7319 | − | 2.33739i | 1.00736 | − | 0.0992166i | ||||
\(556\) | 31.9250 | − | 15.5296i | 1.35392 | − | 0.658604i | ||||
\(557\) | −1.24556 | − | 4.10607i | −0.0527762 | − | 0.173980i | 0.926590 | − | 0.376073i | \(-0.122726\pi\) |
−0.979366 | + | 0.202093i | \(0.935226\pi\) | |||||||
\(558\) | 22.7064 | + | 9.91659i | 0.961238 | + | 0.419803i | ||||
\(559\) | 1.20010 | + | 0.497098i | 0.0507588 | + | 0.0210250i | ||||
\(560\) | −18.0622 | − | 3.18309i | −0.763267 | − | 0.134510i | ||||
\(561\) | 12.7442 | − | 5.27882i | 0.538061 | − | 0.222872i | ||||
\(562\) | −10.4996 | − | 0.200209i | −0.442900 | − | 0.00844530i | ||||
\(563\) | −16.3432 | + | 30.5760i | −0.688783 | + | 1.28862i | 0.257811 | + | 0.966195i | \(0.416999\pi\) |
−0.946594 | + | 0.322427i | \(0.895501\pi\) | |||||||
\(564\) | −50.0364 | + | 37.9662i | −2.10691 | + | 1.59867i | ||||
\(565\) | −1.88113 | + | 2.29216i | −0.0791395 | + | 0.0964318i | ||||
\(566\) | −0.915298 | − | 3.23835i | −0.0384729 | − | 0.136118i | ||||
\(567\) | 4.70311 | − | 23.6441i | 0.197512 | − | 0.992960i | ||||
\(568\) | 24.7050 | − | 8.61421i | 1.03660 | − | 0.361444i | ||||
\(569\) | 1.52759 | − | 0.303857i | 0.0640399 | − | 0.0127383i | −0.162966 | − | 0.986632i | \(-0.552106\pi\) |
0.227006 | + | 0.973893i | \(0.427106\pi\) | |||||||
\(570\) | 7.56059 | − | 23.3143i | 0.316678 | − | 0.976527i | ||||
\(571\) | 32.1675 | − | 17.1939i | 1.34617 | − | 0.719542i | 0.368487 | − | 0.929633i | \(-0.379876\pi\) |
0.977682 | + | 0.210090i | \(0.0673758\pi\) | |||||||
\(572\) | 1.44381 | + | 0.0550818i | 0.0603688 | + | 0.00230309i | ||||
\(573\) | 1.59156 | − | 16.1593i | 0.0664882 | − | 0.675066i | ||||
\(574\) | 28.6091 | + | 6.25996i | 1.19412 | + | 0.261286i | ||||
\(575\) | 2.30406i | 0.0960861i | ||||||||
\(576\) | 31.4773 | − | 2.58549i | 1.31155 | − | 0.107729i | ||||
\(577\) | − | 24.0155i | − | 0.999780i | −0.866089 | − | 0.499890i | \(-0.833374\pi\) | ||
0.866089 | − | 0.499890i | \(-0.166626\pi\) | |||||||
\(578\) | −4.30417 | + | 19.6708i | −0.179030 | + | 0.818197i | ||||
\(579\) | 1.40569 | − | 14.2723i | 0.0584187 | − | 0.593135i | ||||
\(580\) | −10.5642 | − | 11.4022i | −0.438655 | − | 0.473452i | ||||
\(581\) | 21.0875 | − | 11.2715i | 0.874858 | − | 0.467621i | ||||
\(582\) | 21.2529 | + | 6.89211i | 0.880960 | + | 0.285687i | ||||
\(583\) | 4.32343 | − | 0.859983i | 0.179058 | − | 0.0356169i | ||||
\(584\) | −0.101801 | + | 1.77786i | −0.00421254 | + | 0.0735685i | ||||
\(585\) | 0.176688 | − | 0.888271i | 0.00730515 | − | 0.0367255i | ||||
\(586\) | −26.3316 | + | 7.44245i | −1.08775 | + | 0.307445i | ||||
\(587\) | 8.57818 | − | 10.4525i | 0.354060 | − | 0.431423i | −0.565273 | − | 0.824904i | \(-0.691229\pi\) |
0.919333 | + | 0.393481i | \(0.128729\pi\) | |||||||
\(588\) | −10.0457 | + | 73.2426i | −0.414279 | + | 3.02047i | ||||
\(589\) | −13.7547 | + | 25.7333i | −0.566754 | + | 1.06032i | ||||
\(590\) | −0.272105 | + | 14.2701i | −0.0112024 | + | 0.587490i | ||||
\(591\) | −25.7400 | + | 10.6618i | −1.05880 | + | 0.438570i | ||||
\(592\) | −33.1217 | + | 14.5776i | −1.36129 | + | 0.599137i | ||||
\(593\) | −11.5498 | − | 4.78409i | −0.474295 | − | 0.196459i | 0.132714 | − | 0.991154i | \(-0.457631\pi\) |
−0.607009 | + | 0.794695i | \(0.707631\pi\) | |||||||
\(594\) | −4.45358 | + | 10.1975i | −0.182733 | + | 0.418410i | ||||
\(595\) | −2.21184 | − | 7.29146i | −0.0906766 | − | 0.298921i | ||||
\(596\) | 10.4166 | + | 3.59888i | 0.426679 | + | 0.147416i | ||||
\(597\) | 68.2693 | − | 6.72394i | 2.79407 | − | 0.275192i | ||||
\(598\) | 0.463109 | + | 0.586764i | 0.0189379 | + | 0.0239946i | ||||
\(599\) | −15.8752 | − | 23.7589i | −0.648641 | − | 0.970760i | −0.999412 | − | 0.0342989i | \(-0.989080\pi\) |
0.350770 | − | 0.936462i | \(-0.385920\pi\) | |||||||
\(600\) | −3.88459 | + | 6.36343i | −0.158588 | + | 0.259786i | ||||
\(601\) | 3.44659 | + | 2.30294i | 0.140589 | + | 0.0939388i | 0.623876 | − | 0.781523i | \(-0.285557\pi\) |
−0.483287 | + | 0.875462i | \(0.660557\pi\) | |||||||
\(602\) | −23.8298 | + | 27.9332i | −0.971228 | + | 1.13847i | ||||
\(603\) | −13.2521 | + | 43.6863i | −0.539667 | + | 1.77904i | ||||
\(604\) | 0.828141 | + | 5.19044i | 0.0336966 | + | 0.211196i | ||||
\(605\) | −0.837087 | + | 0.686979i | −0.0340324 | + | 0.0279297i | ||||
\(606\) | −1.85034 | − | 10.3276i | −0.0751648 | − | 0.419529i | ||||
\(607\) | −8.39673 | − | 8.39673i | −0.340813 | − | 0.340813i | 0.515860 | − | 0.856673i | \(-0.327472\pi\) |
−0.856673 | + | 0.515860i | \(0.827472\pi\) | |||||||
\(608\) | 0.105831 | + | 37.1934i | 0.00429200 | + | 1.50839i | ||||
\(609\) | −66.4194 | + | 66.4194i | −2.69145 | + | 2.69145i | ||||
\(610\) | 16.3866 | + | 11.4070i | 0.663473 | + | 0.461854i | ||||
\(611\) | −1.73394 | − | 2.11281i | −0.0701475 | − | 0.0854750i | ||||
\(612\) | 6.86857 | + | 11.1799i | 0.277645 | + | 0.451921i | ||||
\(613\) | −37.7722 | − | 11.4581i | −1.52560 | − | 0.462787i | −0.587524 | − | 0.809206i | \(-0.699897\pi\) |
−0.938080 | + | 0.346419i | \(0.887397\pi\) | |||||||
\(614\) | 32.0381 | − | 2.53980i | 1.29295 | − | 0.102498i | ||||
\(615\) | 6.61392 | − | 9.89842i | 0.266699 | − | 0.399143i | ||||
\(616\) | −14.0701 | + | 38.3401i | −0.566900 | + | 1.54477i | ||||
\(617\) | 22.1594 | − | 14.8064i | 0.892105 | − | 0.596085i | −0.0228068 | − | 0.999740i | \(-0.507260\pi\) |
0.914911 | + | 0.403655i | \(0.132260\pi\) | |||||||
\(618\) | 53.9741 | + | 6.35711i | 2.17116 | + | 0.255721i | ||||
\(619\) | 3.82234 | + | 38.8088i | 0.153633 | + | 1.55986i | 0.694961 | + | 0.719047i | \(0.255422\pi\) |
−0.541328 | + | 0.840811i | \(0.682078\pi\) | |||||||
\(620\) | 5.88816 | − | 6.64137i | 0.236474 | − | 0.266724i | ||||
\(621\) | −5.50902 | + | 1.67114i | −0.221069 | + | 0.0670607i | ||||
\(622\) | −19.3028 | + | 7.56766i | −0.773974 | + | 0.303435i | ||||
\(623\) | −9.91845 | + | 23.9453i | −0.397375 | + | 0.959347i | ||||
\(624\) | 0.289761 | + | 2.40133i | 0.0115997 | + | 0.0961302i | ||||
\(625\) | −0.382683 | − | 0.923880i | −0.0153073 | − | 0.0369552i | ||||
\(626\) | −7.13469 | − | 7.41207i | −0.285160 | − | 0.296246i | ||||
\(627\) | −48.1329 | − | 25.7276i | −1.92224 | − | 1.02746i | ||||
\(628\) | −0.714745 | + | 0.187379i | −0.0285214 | + | 0.00747725i | ||||
\(629\) | −11.6216 | − | 9.53758i | −0.463383 | − | 0.380288i | ||||
\(630\) | 22.3427 | + | 12.4958i | 0.890155 | + | 0.497845i | ||||
\(631\) | 39.3449 | + | 7.82619i | 1.56630 | + | 0.311556i | 0.900594 | − | 0.434662i | \(-0.143132\pi\) |
0.665702 | + | 0.746217i | \(0.268132\pi\) | |||||||
\(632\) | −26.0633 | + | 15.3358i | −1.03674 | + | 0.610025i | ||||
\(633\) | 6.13857 | + | 30.8607i | 0.243986 | + | 1.22660i | ||||
\(634\) | −33.5136 | + | 17.1001i | −1.33099 | + | 0.679130i | ||||
\(635\) | 0.892874 | + | 1.67045i | 0.0354326 | + | 0.0662898i | ||||
\(636\) | 2.56200 | + | 6.92034i | 0.101590 | + | 0.274409i | ||||
\(637\) | −3.20156 | − | 0.315326i | −0.126850 | − | 0.0124937i | ||||
\(638\) | −29.1410 | + | 18.6777i | −1.15370 | + | 0.739459i | ||||
\(639\) | −36.5192 | −1.44468 | ||||||||
\(640\) | 2.59729 | − | 11.0115i | 0.102667 | − | 0.435269i | ||||
\(641\) | −23.4725 | −0.927108 | −0.463554 | − | 0.886069i | \(-0.653426\pi\) | ||||
−0.463554 | + | 0.886069i | \(0.653426\pi\) | |||||||
\(642\) | 30.4158 | − | 19.4949i | 1.20042 | − | 0.769401i | ||||
\(643\) | −4.10284 | − | 0.404095i | −0.161800 | − | 0.0159359i | 0.0167926 | − | 0.999859i | \(-0.494654\pi\) |
−0.178593 | + | 0.983923i | \(0.557154\pi\) | |||||||
\(644\) | −19.8146 | + | 7.33561i | −0.780804 | + | 0.289064i | ||||
\(645\) | 7.03577 | + | 13.1630i | 0.277033 | + | 0.518293i | ||||
\(646\) | −13.7639 | + | 7.02291i | −0.541532 | + | 0.276313i | ||||
\(647\) | −2.37745 | − | 11.9522i | −0.0934671 | − | 0.469891i | −0.998963 | − | 0.0455352i | \(-0.985501\pi\) |
0.905496 | − | 0.424356i | \(-0.139499\pi\) | |||||||
\(648\) | 14.3956 | + | 3.73026i | 0.565514 | + | 0.146538i | ||||
\(649\) | 31.1715 | + | 6.20039i | 1.22359 | + | 0.243387i | ||||
\(650\) | −0.283153 | − | 0.158362i | −0.0111062 | − | 0.00621145i | ||||
\(651\) | −41.4607 | − | 34.0260i | −1.62497 | − | 1.33358i | ||||
\(652\) | −0.385858 | − | 1.47183i | −0.0151114 | − | 0.0576412i | ||||
\(653\) | 9.34501 | + | 4.99501i | 0.365698 | + | 0.195470i | 0.644003 | − | 0.765023i | \(-0.277272\pi\) |
−0.278305 | + | 0.960493i | \(0.589772\pi\) | |||||||
\(654\) | 9.30524 | + | 9.66701i | 0.363864 | + | 0.378010i | ||||
\(655\) | −2.30883 | − | 5.57401i | −0.0902134 | − | 0.217794i | ||||
\(656\) | −4.86414 | + | 17.3985i | −0.189913 | + | 0.679295i | ||||
\(657\) | 0.951199 | − | 2.29640i | 0.0371098 | − | 0.0895910i | ||||
\(658\) | 71.9267 | − | 28.1988i | 2.80399 | − | 1.09930i | ||||
\(659\) | 20.0514 | − | 6.08252i | 0.781091 | − | 0.236941i | 0.125536 | − | 0.992089i | \(-0.459935\pi\) |
0.655555 | + | 0.755148i | \(0.272435\pi\) | |||||||
\(660\) | 12.4224 | + | 11.0135i | 0.483540 | + | 0.428700i | ||||
\(661\) | 1.54231 | + | 15.6594i | 0.0599891 | + | 0.609080i | 0.977438 | + | 0.211225i | \(0.0677452\pi\) |
−0.917448 | + | 0.397855i | \(0.869755\pi\) | |||||||
\(662\) | 8.11982 | + | 0.956359i | 0.315586 | + | 0.0371700i | ||||
\(663\) | −0.835517 | + | 0.558275i | −0.0324488 | + | 0.0216816i | ||||
\(664\) | 6.19805 | + | 13.3845i | 0.240531 | + | 0.519418i | ||||
\(665\) | −16.7488 | + | 25.0663i | −0.649490 | + | 0.972030i | ||||
\(666\) | 50.3528 | − | 3.99169i | 1.95113 | − | 0.154675i | ||||
\(667\) | −17.1360 | − | 5.19816i | −0.663510 | − | 0.201274i | ||||
\(668\) | 31.0451 | − | 19.0731i | 1.20117 | − | 0.737960i | ||||
\(669\) | 24.6552 | + | 30.0424i | 0.953224 | + | 1.16151i | ||||
\(670\) | 13.4217 | + | 9.34303i | 0.518524 | + | 0.360953i | ||||
\(671\) | 31.4378 | − | 31.4378i | 1.21364 | − | 1.21364i | ||||
\(672\) | −67.0921 | − | 13.1471i | −2.58814 | − | 0.507161i | ||||
\(673\) | 20.5887 | + | 20.5887i | 0.793636 | + | 0.793636i | 0.982083 | − | 0.188447i | \(-0.0603454\pi\) |
−0.188447 | + | 0.982083i | \(0.560345\pi\) | |||||||
\(674\) | 0.0822188 | + | 0.458901i | 0.00316695 | + | 0.0176762i | ||||
\(675\) | 1.93144 | − | 1.58509i | 0.0743411 | − | 0.0610101i | ||||
\(676\) | 25.5713 | − | 4.07994i | 0.983512 | − | 0.156921i | ||||
\(677\) | −8.22389 | + | 27.1105i | −0.316070 | + | 1.04194i | 0.644663 | + | 0.764467i | \(0.276998\pi\) |
−0.960733 | + | 0.277476i | \(0.910502\pi\) | |||||||
\(678\) | −7.17391 | + | 8.40926i | −0.275513 | + | 0.322956i | ||||
\(679\) | −22.8500 | − | 15.2679i | −0.876904 | − | 0.585929i | ||||
\(680\) | 4.56852 | − | 1.10506i | 0.175195 | − | 0.0423770i | ||||
\(681\) | −11.3055 | − | 16.9199i | −0.433228 | − | 0.648372i | ||||
\(682\) | −12.2448 | − | 15.5142i | −0.468876 | − | 0.594071i | ||||
\(683\) | −13.1951 | + | 1.29960i | −0.504896 | + | 0.0497279i | −0.347259 | − | 0.937769i | \(-0.612888\pi\) |
−0.157637 | + | 0.987497i | \(0.550388\pi\) | |||||||
\(684\) | 16.9530 | − | 49.0686i | 0.648213 | − | 1.87619i | ||||
\(685\) | 0.0683853 | + | 0.225436i | 0.00261287 | + | 0.00861347i | ||||
\(686\) | 18.2272 | − | 41.7356i | 0.695920 | − | 1.59347i | ||||
\(687\) | 68.6896 | + | 28.4522i | 2.62067 | + | 1.08552i | ||||
\(688\) | −16.3626 | − | 15.6609i | −0.623820 | − | 0.597065i | ||||
\(689\) | −0.296675 | + | 0.122887i | −0.0113024 | + | 0.00468162i | ||||
\(690\) | −0.163745 | + | 8.58732i | −0.00623365 | + | 0.326914i | ||||
\(691\) | −8.94351 | + | 16.7321i | −0.340227 | + | 0.636520i | −0.992607 | − | 0.121372i | \(-0.961271\pi\) |
0.652380 | + | 0.757892i | \(0.273771\pi\) | |||||||
\(692\) | −43.3968 | − | 5.95218i | −1.64970 | − | 0.226268i | ||||
\(693\) | 36.1635 | − | 44.0653i | 1.37374 | − | 1.67390i | ||||
\(694\) | −41.4635 | + | 11.7194i | −1.57393 | + | 0.444863i | ||||
\(695\) | −3.46303 | + | 17.4098i | −0.131360 | + | 0.660392i | ||||
\(696\) | −38.5629 | − | 43.2473i | −1.46172 | − | 1.63929i | ||||
\(697\) | −7.36113 | + | 1.46422i | −0.278823 | + | 0.0554613i | ||||
\(698\) | −43.1349 | − | 13.9882i | −1.63268 | − | 0.529463i | ||||
\(699\) | 39.7265 | − | 21.2343i | 1.50260 | − | 0.803154i | ||||
\(700\) | 6.72684 | − | 6.23244i | 0.254251 | − | 0.235564i | ||||
\(701\) | 0.619296 | − | 6.28782i | 0.0233905 | − | 0.237488i | −0.976380 | − | 0.216061i | \(-0.930679\pi\) |
0.999770 | − | 0.0214269i | \(-0.00682090\pi\) | |||||||
\(702\) | 0.173271 | − | 0.791879i | 0.00653971 | − | 0.0298876i | ||||
\(703\) | 59.4832i | 2.24345i | ||||||||
\(704\) | −23.1160 | − | 10.0173i | −0.871217 | − | 0.377540i | ||||
\(705\) | − | 31.4049i | − | 1.18278i | ||||||
\(706\) | 26.0863 | + | 5.70796i | 0.981771 | + | 0.214822i | ||||
\(707\) | −1.26494 | + | 12.8432i | −0.0475731 | + | 0.483017i | ||||
\(708\) | −2.02829 | + | 53.1657i | −0.0762276 | + | 1.99809i | ||||
\(709\) | 5.85246 | − | 3.12820i | 0.219794 | − | 0.117482i | −0.357826 | − | 0.933788i | \(-0.616482\pi\) |
0.577619 | + | 0.816306i | \(0.303982\pi\) | |||||||
\(710\) | −4.03543 | + | 12.4439i | −0.151447 | + | 0.467010i | ||||
\(711\) | 41.3984 | − | 8.23466i | 1.55256 | − | 0.308824i | ||||
\(712\) | −14.3972 | − | 6.95280i | −0.539557 | − | 0.260567i | ||||
\(713\) | 1.99482 | − | 10.0286i | 0.0747065 | − | 0.375575i | ||||
\(714\) | −7.72541 | − | 27.3327i | −0.289116 | − | 1.02290i | ||||
\(715\) | −0.458306 | + | 0.558447i | −0.0171397 | + | 0.0208847i | ||||
\(716\) | 17.1505 | + | 22.6030i | 0.640945 | + | 0.844713i | ||||
\(717\) | −26.6798 | + | 49.9145i | −0.996377 | + | 1.86409i | ||||
\(718\) | 0.963106 | + | 0.0183647i | 0.0359428 | + | 0.000685364i | ||||
\(719\) | 20.7851 | − | 8.60948i | 0.775155 | − | 0.321080i | 0.0401962 | − | 0.999192i | \(-0.487202\pi\) |
0.734958 | + | 0.678112i | \(0.237202\pi\) | |||||||
\(720\) | −8.48359 | + | 13.3193i | −0.316165 | + | 0.496383i | ||||
\(721\) | −61.7592 | − | 25.5815i | −2.30003 | − | 0.952705i | ||||
\(722\) | 31.4023 | + | 13.7144i | 1.16867 | + | 0.510396i | ||||
\(723\) | −22.4364 | − | 73.9629i | −0.834419 | − | 2.75071i | ||||
\(724\) | 1.58638 | + | 3.26119i | 0.0589573 | + | 0.121201i | ||||
\(725\) | 7.73454 | − | 0.761786i | 0.287254 | − | 0.0282920i | ||||
\(726\) | −3.16867 | + | 2.50090i | −0.117600 | + | 0.0928173i | ||||
\(727\) | 13.0294 | + | 19.4999i | 0.483235 | + | 0.723212i | 0.990338 | − | 0.138673i | \(-0.0442838\pi\) |
−0.507103 | + | 0.861885i | \(0.669284\pi\) | |||||||
\(728\) | 0.460390 | − | 2.93926i | 0.0170632 | − | 0.108936i | ||||
\(729\) | −33.6871 | − | 22.5090i | −1.24767 | − | 0.833665i | ||||
\(730\) | −0.677385 | − | 0.577875i | −0.0250711 | − | 0.0213881i | ||||
\(731\) | 2.73149 | − | 9.00453i | 0.101028 | − | 0.333044i | ||||
\(732\) | 60.2627 | + | 43.6787i | 2.22737 | + | 1.61441i | ||||
\(733\) | −18.0981 | + | 14.8528i | −0.668470 | + | 0.548599i | −0.906262 | − | 0.422717i | \(-0.861076\pi\) |
0.237792 | + | 0.971316i | \(0.423576\pi\) | |||||||
\(734\) | 39.5619 | − | 7.08810i | 1.46026 | − | 0.261627i | ||||
\(735\) | −26.1376 | − | 26.1376i | −0.964100 | − | 0.964100i | ||||
\(736\) | −3.81897 | − | 12.4617i | −0.140769 | − | 0.459345i | ||||
\(737\) | 25.7496 | − | 25.7496i | 0.948498 | − | 0.948498i | ||||
\(738\) | 14.4064 | − | 20.6954i | 0.530307 | − | 0.761808i | ||||
\(739\) | 11.5539 | + | 14.0785i | 0.425017 | + | 0.517885i | 0.940859 | − | 0.338799i | \(-0.110021\pi\) |
−0.515842 | + | 0.856684i | \(0.672521\pi\) | |||||||
\(740\) | 4.20391 | − | 17.5987i | 0.154539 | − | 0.646943i | ||||
\(741\) | 3.80460 | + | 1.15411i | 0.139765 | + | 0.0423974i | ||||
\(742\) | −0.717299 | − | 9.04832i | −0.0263329 | − | 0.332174i | ||||
\(743\) | −23.6647 | + | 35.4168i | −0.868175 | + | 1.29932i | 0.0848408 | + | 0.996395i | \(0.472962\pi\) |
−0.953016 | + | 0.302921i | \(0.902038\pi\) | |||||||
\(744\) | 22.4173 | − | 24.3342i | 0.821859 | − | 0.892133i | ||||
\(745\) | −4.58171 | + | 3.06140i | −0.167861 | + | 0.112161i | ||||
\(746\) | −0.0530855 | + | 0.450714i | −0.00194360 | + | 0.0165018i | ||||
\(747\) | −2.01797 | − | 20.4888i | −0.0738335 | − | 0.749644i | ||||
\(748\) | −0.628061 | − | 10.4476i | −0.0229642 | − | 0.382003i | ||||
\(749\) | −42.5234 | + | 12.8993i | −1.55377 | + | 0.471332i | ||||
\(750\) | −1.36062 | − | 3.47053i | −0.0496827 | − | 0.126726i | ||||
\(751\) | 2.47418 | − | 5.97319i | 0.0902839 | − | 0.217965i | −0.872287 | − | 0.488994i | \(-0.837364\pi\) |
0.962571 | + | 0.271029i | \(0.0873640\pi\) | |||||||
\(752\) | 14.8301 | + | 45.2912i | 0.540798 | + | 1.65160i | ||||
\(753\) | 29.4774 | + | 71.1648i | 1.07422 | + | 2.59339i | ||||
\(754\) | 1.81660 | − | 1.74862i | 0.0661567 | − | 0.0636809i | ||||
\(755\) | −2.31773 | − | 1.23885i | −0.0843507 | − | 0.0450864i | ||||
\(756\) | 19.7808 | + | 11.5635i | 0.719420 | + | 0.420560i | ||||
\(757\) | −6.52931 | − | 5.35846i | −0.237312 | − | 0.194757i | 0.508219 | − | 0.861228i | \(-0.330304\pi\) |
−0.745531 | + | 0.666471i | \(0.767804\pi\) | |||||||
\(758\) | −9.59953 | + | 17.1641i | −0.348671 | + | 0.623428i | ||||
\(759\) | 18.7581 | + | 3.73121i | 0.680875 | + | 0.135434i | ||||
\(760\) | −14.8467 | − | 11.1989i | −0.538548 | − | 0.406226i | ||||
\(761\) | −8.92467 | − | 44.8673i | −0.323519 | − | 1.62644i | −0.710041 | − | 0.704160i | \(-0.751324\pi\) |
0.386523 | − | 0.922280i | \(-0.373676\pi\) | |||||||
\(762\) | 3.20906 | + | 6.28928i | 0.116252 | + | 0.227836i | ||||
\(763\) | −7.77998 | − | 14.5553i | −0.281654 | − | 0.526938i | ||||
\(764\) | −11.1945 | − | 5.14529i | −0.405002 | − | 0.186150i | ||||
\(765\) | −6.52904 | − | 0.643054i | −0.236058 | − | 0.0232497i | ||||
\(766\) | −11.1766 | − | 17.4378i | −0.403829 | − | 0.630053i | ||||
\(767\) | −2.31523 | −0.0835982 | ||||||||
\(768\) | 10.4627 | − | 40.8558i | 0.377542 | − | 1.47426i | ||||
\(769\) | 20.3527 | 0.733938 | 0.366969 | − | 0.930233i | \(-0.380396\pi\) | ||||
0.366969 | + | 0.930233i | \(0.380396\pi\) | |||||||
\(770\) | −11.0191 | − | 17.1919i | −0.397100 | − | 0.619554i | ||||
\(771\) | −46.5696 | − | 4.58670i | −1.67716 | − | 0.165186i | ||||
\(772\) | −9.88720 | − | 4.54443i | −0.355848 | − | 0.163557i | ||||
\(773\) | 0.502315 | + | 0.939766i | 0.0180670 | + | 0.0338010i | 0.890793 | − | 0.454410i | \(-0.150150\pi\) |
−0.872726 | + | 0.488211i | \(0.837650\pi\) | |||||||
\(774\) | 14.3685 | + | 28.1602i | 0.516466 | + | 1.01220i | ||||
\(775\) | 0.865782 | + | 4.35258i | 0.0310998 | + | 0.156349i | ||||
\(776\) | 10.2087 | − | 13.5340i | 0.366471 | − | 0.485844i | ||||
\(777\) | −107.239 | − | 21.3312i | −3.84719 | − | 0.765254i | ||||
\(778\) | −2.08954 | + | 3.73613i | −0.0749137 | + | 0.133947i | ||||
\(779\) | 22.9546 | + | 18.8384i | 0.822436 | + | 0.674956i | ||||
\(780\) | −1.04407 | − | 0.610342i | −0.0373835 | − | 0.0218537i | ||||
\(781\) | 25.6907 | + | 13.7320i | 0.919287 | + | 0.491369i | ||||
\(782\) | 3.90119 | − | 3.75519i | 0.139506 | − | 0.134285i | ||||
\(783\) | 7.43132 | + | 17.9408i | 0.265574 | + | 0.641151i | ||||
\(784\) | 50.0376 | + | 25.3521i | 1.78706 | + | 0.905433i | ||||
\(785\) | 0.141382 | − | 0.341327i | 0.00504615 | − | 0.0121825i | ||||
\(786\) | −8.20895 | − | 20.9386i | −0.292804 | − | 0.746855i | ||||
\(787\) | 14.7862 | − | 4.48533i | 0.527070 | − | 0.159885i | −0.0155249 | − | 0.999879i | \(-0.504942\pi\) |
0.542595 | + | 0.839995i | \(0.317442\pi\) | |||||||
\(788\) | 1.26852 | + | 21.1014i | 0.0451891 | + | 0.751708i | ||||
\(789\) | −5.88681 | − | 59.7698i | −0.209576 | − | 2.12786i | ||||
\(790\) | 1.76864 | − | 15.0164i | 0.0629255 | − | 0.534259i | ||||
\(791\) | 11.3046 | − | 7.55353i | 0.401947 | − | 0.268572i | ||||
\(792\) | 25.8628 | + | 23.8256i | 0.918996 | + | 0.846606i | ||||
\(793\) | −1.79936 | + | 2.69293i | −0.0638971 | + | 0.0956288i | ||||
\(794\) | −3.07416 | − | 38.7788i | −0.109098 | − | 1.37621i | ||||
\(795\) | −3.53080 | − | 1.07106i | −0.125225 | − | 0.0379865i | ||||
\(796\) | 12.0933 | − | 50.6261i | 0.428636 | − | 1.79439i | ||||
\(797\) | −18.8575 | − | 22.9780i | −0.667968 | − | 0.813921i | 0.323229 | − | 0.946321i | \(-0.395232\pi\) |
−0.991196 | + | 0.132400i | \(0.957732\pi\) | |||||||
\(798\) | −64.2047 | + | 92.2327i | −2.27282 | + | 3.26500i | ||||
\(799\) | −14.0002 | + | 14.0002i | −0.495290 | + | 0.495290i | ||||
\(800\) | 3.60110 | + | 4.36258i | 0.127318 | + | 0.154240i | ||||
\(801\) | 15.7799 | + | 15.7799i | 0.557557 | + | 0.557557i | ||||
\(802\) | 0.119005 | − | 0.0213214i | 0.00420220 | − | 0.000752886i | ||||
\(803\) | −1.53265 | + | 1.25781i | −0.0540859 | + | 0.0443872i | ||||
\(804\) | 49.3590 | + | 35.7756i | 1.74076 | + | 1.26171i | ||||
\(805\) | 3.06669 | − | 10.1095i | 0.108087 | − | 0.356314i | ||||
\(806\) | 1.09534 | + | 0.934430i | 0.0385817 | + | 0.0329139i | ||||
\(807\) | 13.2687 | + | 8.86588i | 0.467081 | + | 0.312094i | ||||
\(808\) | −7.86500 | − | 1.23193i | −0.276690 | − | 0.0433393i | ||||
\(809\) | −0.848477 | − | 1.26983i | −0.0298308 | − | 0.0446450i | 0.816254 | − | 0.577692i | \(-0.196047\pi\) |
−0.846085 | + | 0.533047i | \(0.821047\pi\) | |||||||
\(810\) | −5.83664 | + | 4.60663i | −0.205079 | + | 0.161860i | ||||
\(811\) | 44.0469 | − | 4.33824i | 1.54670 | − | 0.152336i | 0.711657 | − | 0.702528i | \(-0.247945\pi\) |
0.835039 | + | 0.550191i | \(0.185445\pi\) | |||||||
\(812\) | 31.1763 | + | 64.0905i | 1.09407 | + | 2.24913i | ||||
\(813\) | 6.56204 | + | 21.6321i | 0.230141 | + | 0.758672i | ||||
\(814\) | −36.9234 | − | 16.1256i | −1.29417 | − | 0.565202i | ||||
\(815\) | 0.702871 | + | 0.291139i | 0.0246205 | + | 0.0101982i | ||||
\(816\) | 17.1056 | − | 3.79391i | 0.598815 | − | 0.132813i | ||||
\(817\) | −34.3959 | + | 14.2472i | −1.20336 | + | 0.498448i | ||||
\(818\) | −33.9854 | − | 0.648041i | −1.18827 | − | 0.0226582i | ||||
\(819\) | −1.95754 | + | 3.66229i | −0.0684018 | + | 0.127971i | ||||
\(820\) | −5.46000 | − | 7.19583i | −0.190671 | − | 0.251289i | ||||
\(821\) | 3.16526 | − | 3.85689i | 0.110468 | − | 0.134606i | −0.714841 | − | 0.699287i | \(-0.753501\pi\) |
0.825309 | + | 0.564681i | \(0.191001\pi\) | |||||||
\(822\) | 0.238853 | + | 0.845067i | 0.00833095 | + | 0.0294751i | ||||
\(823\) | 1.71816 | − | 8.63776i | 0.0598912 | − | 0.301093i | −0.939217 | − | 0.343325i | \(-0.888447\pi\) |
0.999108 | + | 0.0422317i | \(0.0134468\pi\) | |||||||
\(824\) | 17.9325 | − | 37.1330i | 0.624710 | − | 1.29359i | ||||
\(825\) | −8.14130 | + | 1.61940i | −0.283444 | + | 0.0563804i | ||||
\(826\) | 20.1873 | − | 62.2506i | 0.702406 | − | 2.16598i | ||||
\(827\) | −35.5821 | + | 19.0190i | −1.23731 | + | 0.661357i | −0.954612 | − | 0.297852i | \(-0.903730\pi\) |
−0.282699 | + | 0.959209i | \(0.591230\pi\) | |||||||
\(828\) | −0.693543 | + | 18.1793i | −0.0241023 | + | 0.631773i | ||||
\(829\) | 2.68779 | − | 27.2896i | 0.0933508 | − | 0.947806i | −0.828429 | − | 0.560094i | \(-0.810765\pi\) |
0.921780 | − | 0.387713i | \(-0.126735\pi\) | |||||||
\(830\) | −7.20450 | − | 1.57642i | −0.250072 | − | 0.0547184i | ||||
\(831\) | − | 40.0286i | − | 1.38858i | ||||||
\(832\) | 1.79394 | + | 0.387187i | 0.0621936 | + | 0.0134233i | ||||
\(833\) | 23.3040i | 0.807437i | ||||||||
\(834\) | −14.1441 | + | 64.6408i | −0.489770 | + | 2.23833i | ||||
\(835\) | −1.78568 | + | 18.1303i | −0.0617959 | + | 0.627424i | ||||
\(836\) | −30.3770 | + | 28.1444i | −1.05061 | + | 0.973394i | ||||
\(837\) | −9.77908 | + | 5.22703i | −0.338014 | + | 0.180673i | ||||
\(838\) | −10.6869 | − | 3.46566i | −0.369173 | − | 0.119719i | ||||
\(839\) | 17.3365 | − | 3.44845i | 0.598523 | − | 0.119054i | 0.113475 | − | 0.993541i | \(-0.463802\pi\) |
0.485048 | + | 0.874487i | \(0.338802\pi\) | |||||||
\(840\) | 25.5141 | − | 22.7504i | 0.880319 | − | 0.784965i | ||||
\(841\) | −6.12651 | + | 30.8001i | −0.211259 | + | 1.06207i | ||||
\(842\) | 20.0076 | − | 5.65503i | 0.689508 | − | 0.194885i | ||||
\(843\) | 12.4172 | − | 15.1304i | 0.427671 | − | 0.521119i | ||||
\(844\) | 23.6530 | + | 3.24418i | 0.814171 | + | 0.111669i | ||||
\(845\) | −6.10335 | + | 11.4186i | −0.209962 | + | 0.392811i | ||||
\(846\) | 1.26819 | − | 66.5080i | 0.0436012 | − | 2.28659i | ||||
\(847\) | 4.58724 | − | 1.90010i | 0.157620 | − | 0.0652882i | ||||
\(848\) | 5.59780 | − | 0.122675i | 0.192229 | − | 0.00421266i | ||||
\(849\) | 5.79482 | + | 2.40029i | 0.198878 | + | 0.0823779i | ||||
\(850\) | −0.940589 | + | 2.15370i | −0.0322619 | + | 0.0738713i | ||||
\(851\) | −6.05091 | − | 19.9472i | −0.207422 | − | 0.683780i | ||||
\(852\) | −15.9245 | + | 46.0919i | −0.545566 | + | 1.57908i | ||||
\(853\) | 53.4593 | − | 5.26529i | 1.83041 | − | 0.180280i | 0.876708 | − | 0.481023i | \(-0.159735\pi\) |
0.953705 | + | 0.300744i | \(0.0972348\pi\) | |||||||
\(854\) | −56.7167 | − | 71.8607i | −1.94081 | − | 2.45902i | ||||
\(855\) | 14.4211 | + | 21.5827i | 0.493192 | + | 0.738114i | ||||
\(856\) | −6.44464 | − | 26.6434i | −0.220273 | − | 0.910653i | ||||
\(857\) | 28.2150 | + | 18.8527i | 0.963807 | + | 0.643995i | 0.934646 | − | 0.355580i | \(-0.115717\pi\) |
0.0291608 | + | 0.999575i | \(0.490717\pi\) | |||||||
\(858\) | −1.74781 | + | 2.04878i | −0.0596692 | + | 0.0699442i | ||||
\(859\) | 5.81304 | − | 19.1630i | 0.198338 | − | 0.653834i | −0.800197 | − | 0.599737i | \(-0.795272\pi\) |
0.998536 | − | 0.0540969i | \(-0.0172280\pi\) | |||||||
\(860\) | 11.1833 | − | 1.78431i | 0.381347 | − | 0.0608444i | ||||
\(861\) | −42.1946 | + | 34.6282i | −1.43799 | + | 1.18013i | ||||
\(862\) | −1.75179 | − | 9.77753i | −0.0596661 | − | 0.333024i | ||||
\(863\) | −20.4419 | − | 20.4419i | −0.695850 | − | 0.695850i | 0.267663 | − | 0.963513i | \(-0.413749\pi\) |
−0.963513 | + | 0.267663i | \(0.913749\pi\) | |||||||
\(864\) | −7.81905 | + | 11.7744i | −0.266010 | + | 0.400574i | ||||
\(865\) | 15.4867 | − | 15.4867i | 0.526565 | − | 0.526565i | ||||
\(866\) | 33.7707 | + | 23.5083i | 1.14757 | + | 0.798845i | ||||
\(867\) | −23.8094 | − | 29.0118i | −0.808609 | − | 0.985292i | ||||
\(868\) | −34.6750 | + | 21.3032i | −1.17695 | + | 0.723078i | ||||
\(869\) | −32.2196 | − | 9.77370i | −1.09297 | − | 0.331550i | ||||
\(870\) | 28.8810 | − | 2.28952i | 0.979159 | − | 0.0776222i | ||||
\(871\) | −1.47379 | + | 2.20568i | −0.0499375 | + | 0.0747367i | ||||
\(872\) | 9.23841 | − | 4.27810i | 0.312852 | − | 0.144875i | ||||
\(873\) | −19.6745 | + | 13.1461i | −0.665880 | + | 0.444927i | ||||
\(874\) | −21.2770 | − | 2.50602i | −0.719706 | − | 0.0847675i | ||||
\(875\) | 0.449421 | + | 4.56305i | 0.0151932 | + | 0.154259i | ||||
\(876\) | −2.48357 | − | 2.20190i | −0.0839120 | − | 0.0743953i | ||||
\(877\) | 30.0501 | − | 9.11560i | 1.01472 | − | 0.307812i | 0.261233 | − | 0.965276i | \(-0.415871\pi\) |
0.753486 | + | 0.657464i | \(0.228371\pi\) | |||||||
\(878\) | 37.2856 | − | 14.6178i | 1.25833 | − | 0.493327i | ||||
\(879\) | 19.5172 | − | 47.1187i | 0.658299 | − | 1.58927i | ||||
\(880\) | 10.9764 | − | 6.17996i | 0.370015 | − | 0.208326i | ||||
\(881\) | 16.3880 | + | 39.5642i | 0.552127 | + | 1.33295i | 0.915878 | + | 0.401457i | \(0.131496\pi\) |
−0.363751 | + | 0.931496i | \(0.618504\pi\) | |||||||
\(882\) | −54.2976 | − | 56.4086i | −1.82830 | − | 1.89938i | ||||
\(883\) | 7.53401 | + | 4.02701i | 0.253540 | + | 0.135520i | 0.593271 | − | 0.805003i | \(-0.297836\pi\) |
−0.339732 | + | 0.940522i | \(0.610336\pi\) | |||||||
\(884\) | 0.193352 | + | 0.737527i | 0.00650313 | + | 0.0248057i | ||||
\(885\) | −20.5638 | − | 16.8763i | −0.691244 | − | 0.567289i | ||||
\(886\) | 9.79545 | + | 5.47840i | 0.329085 | + | 0.184050i | ||||
\(887\) | −10.9003 | − | 2.16820i | −0.365996 | − | 0.0728012i | 0.00866632 | − | 0.999962i | \(-0.497241\pi\) |
−0.374662 | + | 0.927161i | \(0.622241\pi\) | |||||||
\(888\) | 16.9188 | − | 65.2923i | 0.567758 | − | 2.19107i | ||||
\(889\) | −1.69430 | − | 8.51783i | −0.0568251 | − | 0.285679i | ||||
\(890\) | 7.12070 | − | 3.63328i | 0.238686 | − | 0.121788i | ||||
\(891\) | 7.80508 | + | 14.6023i | 0.261480 | + | 0.489194i | ||||
\(892\) | 27.6542 | − | 10.2379i | 0.925931 | − | 0.342792i | ||||
\(893\) | 77.9591 | + | 7.67830i | 2.60880 | + | 0.256945i | ||||
\(894\) | −17.2937 | + | 11.0843i | −0.578389 | + | 0.370715i | ||||
\(895\) | −14.1866 | −0.474205 | ||||||||
\(896\) | −26.0524 | + | 44.8583i | −0.870349 | + | 1.49861i | ||||
\(897\) | −1.39324 | −0.0465189 | ||||||||
\(898\) | 9.60792 | − | 6.15814i | 0.320621 | − | 0.205500i | ||||
\(899\) | −34.3248 | − | 3.38069i | −1.14480 | − | 0.112752i | ||||
\(900\) | −2.74131 | − | 7.40468i | −0.0913770 | − | 0.246823i | ||||
\(901\) | 1.09654 | + | 2.05149i | 0.0365312 | + | 0.0683450i | ||||
\(902\) | −17.9166 | + | 9.14180i | −0.596557 | + | 0.304389i | ||||
\(903\) | −13.3510 | − | 67.1198i | −0.444292 | − | 2.23361i | ||||
\(904\) | 4.25327 | + | 7.22846i | 0.141462 | + | 0.240415i | ||||
\(905\) | −1.77844 | − | 0.353754i | −0.0591174 | − | 0.0117592i | ||||
\(906\) | −8.55020 | − | 4.78195i | −0.284061 | − | 0.158870i | ||||
\(907\) | −37.3766 | − | 30.6742i | −1.24107 | − | 1.01852i | −0.998833 | − | 0.0483034i | \(-0.984619\pi\) |
−0.242238 | − | 0.970217i | \(-0.577881\pi\) | |||||||
\(908\) | −14.9355 | + | 3.91553i | −0.495653 | + | 0.129942i | ||||
\(909\) | 9.79974 | + | 5.23807i | 0.325037 | + | 0.173736i | ||||
\(910\) | 1.03161 | + | 1.07172i | 0.0341975 | + | 0.0355271i | ||||
\(911\) | 19.7828 | + | 47.7600i | 0.655435 | + | 1.58236i | 0.804779 | + | 0.593574i | \(0.202284\pi\) |
−0.149345 | + | 0.988785i | \(0.547716\pi\) | |||||||
\(912\) | −54.5384 | − | 42.7937i | −1.80595 | − | 1.41704i | ||||
\(913\) | −6.28459 | + | 15.1723i | −0.207989 | + | 0.502131i | ||||
\(914\) | −0.283173 | + | 0.111017i | −0.00936651 | + | 0.00367213i | ||||
\(915\) | −35.6112 | + | 10.8025i | −1.17727 | + | 0.357121i | ||||
\(916\) | 37.4244 | − | 42.2118i | 1.23654 | − | 1.39472i | ||||
\(917\) | 2.71148 | + | 27.5301i | 0.0895408 | + | 0.909123i | ||||
\(918\) | −5.83172 | − | 0.686864i | −0.192475 | − | 0.0226699i | ||||
\(919\) | 5.58757 | − | 3.73349i | 0.184317 | − | 0.123157i | −0.459989 | − | 0.887925i | \(-0.652147\pi\) |
0.644305 | + | 0.764768i | \(0.277147\pi\) | |||||||
\(920\) | 6.11792 | + | 2.24516i | 0.201702 | + | 0.0740208i | ||||
\(921\) | −33.2796 | + | 49.8064i | −1.09660 | + | 1.64118i | ||||
\(922\) | 26.8187 | − | 2.12603i | 0.883226 | − | 0.0700172i | ||||
\(923\) | −2.03069 | − | 0.616002i | −0.0668409 | − | 0.0202760i | ||||
\(924\) | −39.8467 | − | 64.8580i | −1.31086 | − | 2.13367i | ||||
\(925\) | 5.73932 | + | 6.99338i | 0.188708 | + | 0.229941i | ||||
\(926\) | −35.1781 | − | 24.4880i | −1.15602 | − | 0.804727i | ||||
\(927\) | −40.6994 | + | 40.6994i | −1.33674 | + | 1.33674i | ||||
\(928\) | −40.5702 | + | 16.9401i | −1.33178 | + | 0.556087i | ||||
\(929\) | −14.5122 | − | 14.5122i | −0.476129 | − | 0.476129i | 0.427762 | − | 0.903891i | \(-0.359302\pi\) |
−0.903891 | + | 0.427762i | \(0.859302\pi\) | |||||||
\(930\) | 2.91747 | + | 16.2837i | 0.0956676 | + | 0.533965i | ||||
\(931\) | 71.2741 | − | 58.4931i | 2.33591 | − | 1.91703i | ||||
\(932\) | −5.38512 | − | 33.7517i | −0.176396 | − | 1.10557i | ||||
\(933\) | 11.2177 | − | 36.9799i | 0.367252 | − | 1.21067i | ||||
\(934\) | −26.6869 | + | 31.2824i | −0.873223 | + | 1.02359i | ||||
\(935\) | 4.35128 | + | 2.90743i | 0.142302 | + | 0.0950832i | ||||
\(936\) | −2.18643 | − | 1.33472i | −0.0714657 | − | 0.0436266i | ||||
\(937\) | 7.72860 | + | 11.5667i | 0.252482 | + | 0.377866i | 0.935961 | − | 0.352104i | \(-0.114534\pi\) |
−0.683479 | + | 0.729971i | \(0.739534\pi\) | |||||||
\(938\) | −46.4546 | − | 58.8585i | −1.51680 | − | 1.92180i | ||||
\(939\) | 19.0830 | − | 1.87951i | 0.622750 | − | 0.0613355i | ||||
\(940\) | −22.5224 | − | 7.78137i | −0.734599 | − | 0.253800i | ||||
\(941\) | −6.03679 | − | 19.9006i | −0.196794 | − | 0.648742i | −0.998685 | − | 0.0512719i | \(-0.983672\pi\) |
0.801891 | − | 0.597471i | \(-0.203828\pi\) | |||||||
\(942\) | 0.551193 | − | 1.26209i | 0.0179588 | − | 0.0411211i | ||||
\(943\) | −9.61396 | − | 3.98223i | −0.313074 | − | 0.129679i | ||||
\(944\) | 37.6258 | + | 14.6278i | 1.22462 | + | 0.476094i | ||||
\(945\) | −10.5843 | + | 4.38416i | −0.344307 | + | 0.142617i | ||||
\(946\) | 0.480768 | − | 25.2131i | 0.0156311 | − | 0.819749i | ||||
\(947\) | −13.3621 | + | 24.9988i | −0.434211 | + | 0.812352i | −0.999925 | − | 0.0122498i | \(-0.996101\pi\) |
0.565714 | + | 0.824602i | \(0.308601\pi\) | |||||||
\(948\) | 7.65897 | − | 55.8409i | 0.248752 | − | 1.81363i | ||||
\(949\) | 0.0916277 | − | 0.111649i | 0.00297436 | − | 0.00362427i | ||||
\(950\) | 8.94785 | − | 2.52905i | 0.290306 | − | 0.0820533i | ||||
\(951\) | 13.6809 | − | 68.7784i | 0.443633 | − | 2.23029i | ||||
\(952\) | −21.5161 | − | 1.23201i | −0.697341 | − | 0.0399298i | ||||
\(953\) | 44.0125 | − | 8.75463i | 1.42571 | − | 0.283590i | 0.578859 | − | 0.815428i | \(-0.303498\pi\) |
0.846846 | + | 0.531837i | \(0.178498\pi\) | |||||||
\(954\) | −7.43414 | − | 2.41082i | −0.240689 | − | 0.0780532i | ||||
\(955\) | 5.43278 | − | 2.90388i | 0.175801 | − | 0.0939674i | ||||
\(956\) | 29.1861 | + | 31.5013i | 0.943945 | + | 1.01883i | ||||
\(957\) | 6.32343 | − | 64.2029i | 0.204407 | − | 2.07538i | ||||
\(958\) | −1.36756 | + | 6.24996i | −0.0441837 | + | 0.201927i | ||||
\(959\) | − | 1.08016i | − | 0.0348803i | ||||||
\(960\) | 13.1114 | + | 16.5154i | 0.423168 | + | 0.533032i | ||||
\(961\) | 11.3055i | 0.364692i | ||||||||
\(962\) | 2.86725 | + | 0.627384i | 0.0924438 | + | 0.0202277i | ||||
\(963\) | −3.75026 | + | 38.0770i | −0.120850 | + | 1.22701i | ||||
\(964\) | −58.6025 | − | 2.23570i | −1.88746 | − | 0.0720070i | ||||
\(965\) | 4.79834 | − | 2.56477i | 0.154464 | − | 0.0825628i | ||||
\(966\) | 12.1481 | − | 37.4606i | 0.390859 | − | 1.20528i | ||||
\(967\) | −50.2307 | + | 9.99152i | −1.61531 | + | 0.321305i | −0.918340 | − | 0.395793i | \(-0.870470\pi\) |
−0.696972 | + | 0.717098i | \(0.745470\pi\) | |||||||
\(968\) | 1.00843 | + | 2.89211i | 0.0324122 | + | 0.0929560i | ||||
\(969\) | 5.61867 | − | 28.2470i | 0.180498 | − | 0.907423i | ||||
\(970\) | 2.30544 | + | 8.15671i | 0.0740233 | + | 0.261896i | ||||
\(971\) | −36.0642 | + | 43.9443i | −1.15735 | + | 1.41024i | −0.261895 | + | 0.965096i | \(0.584348\pi\) |
−0.895459 | + | 0.445144i | \(0.853152\pi\) | |||||||
\(972\) | −34.0235 | + | 25.8161i | −1.09130 | + | 0.828051i | ||||
\(973\) | 38.3670 | − | 71.7797i | 1.22999 | − | 2.30115i | ||||
\(974\) | 29.9205 | + | 0.570529i | 0.958715 | + | 0.0182809i | ||||
\(975\) | 0.558659 | − | 0.231404i | 0.0178914 | − | 0.00741086i | ||||
\(976\) | 46.2563 | − | 32.3955i | 1.48063 | − | 1.03695i | ||||
\(977\) | −30.8402 | − | 12.7744i | −0.986666 | − | 0.408691i | −0.169775 | − | 0.985483i | \(-0.554304\pi\) |
−0.816891 | + | 0.576792i | \(0.804304\pi\) | |||||||
\(978\) | 2.59893 | + | 1.13504i | 0.0831048 | + | 0.0362944i | ||||
\(979\) | −5.16737 | − | 17.0345i | −0.165150 | − | 0.544426i | ||||
\(980\) | −25.2211 | + | 12.2686i | −0.805659 | + | 0.391906i | ||||
\(981\) | −14.1420 | + | 1.39287i | −0.451520 | + | 0.0444709i | ||||
\(982\) | 22.6634 | − | 17.8873i | 0.723218 | − | 0.570807i | ||||
\(983\) | −23.4050 | − | 35.0281i | −0.746505 | − | 1.11722i | −0.989121 | − | 0.147101i | \(-0.953006\pi\) |
0.242617 | − | 0.970122i | \(-0.421994\pi\) | |||||||
\(984\) | −19.8382 | − | 27.2071i | −0.632418 | − | 0.867331i | ||||
\(985\) | −8.78844 | − | 5.87225i | −0.280023 | − | 0.187105i | ||||
\(986\) | −13.8957 | − | 11.8544i | −0.442529 | − | 0.377520i | ||||
\(987\) | −41.7997 | + | 137.795i | −1.33050 | + | 4.38607i | ||||
\(988\) | 1.77037 | − | 2.44255i | 0.0563230 | − | 0.0777078i | ||||
\(989\) | 10.0850 | − | 8.27658i | 0.320686 | − | 0.263180i | ||||
\(990\) | −17.3067 | + | 3.10075i | −0.550043 | + | 0.0985482i | ||||
\(991\) | 19.4716 | + | 19.4716i | 0.618535 | + | 0.618535i | 0.945156 | − | 0.326620i | \(-0.105910\pi\) |
−0.326620 | + | 0.945156i | \(0.605910\pi\) | |||||||
\(992\) | −11.8970 | − | 22.1062i | −0.377731 | − | 0.701874i | ||||
\(993\) | −10.7755 | + | 10.7755i | −0.341949 | + | 0.341949i | ||||
\(994\) | 34.2690 | − | 49.2288i | 1.08695 | − | 1.56144i | ||||
\(995\) | 16.5102 | + | 20.1178i | 0.523409 | + | 0.637776i | ||||
\(996\) | −26.7394 | − | 6.38738i | −0.847270 | − | 0.202392i | ||||
\(997\) | −20.2827 | − | 6.15268i | −0.642359 | − | 0.194857i | −0.0477330 | − | 0.998860i | \(-0.515200\pi\) |
−0.594626 | + | 0.804003i | \(0.702700\pi\) | |||||||
\(998\) | −3.08342 | − | 38.8956i | −0.0976040 | − | 1.23122i | ||||
\(999\) | −12.5584 | + | 18.7950i | −0.397332 | + | 0.594649i |
(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 | 640.2.bm.a.221.43 | ✓ | 1024 | |
128.117 | even | 32 | inner | 640.2.bm.a.501.43 | yes | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
640.2.bm.a.221.43 | ✓ | 1024 | 1.1 | even | 1 | trivial | |
640.2.bm.a.501.43 | yes | 1024 | 128.117 | even | 32 | inner |