Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(7,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.w (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 7.5 | ||
Character | \(\chi\) | \(=\) | 165.7 |
Dual form | 165.2.w.a.118.5 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.12702 | + | 0.178502i | −0.796920 | + | 0.126220i | −0.541600 | − | 0.840637i | \(-0.682181\pi\) |
−0.255321 | + | 0.966856i | \(0.582181\pi\) | |||||||
\(3\) | 0.453990 | + | 0.891007i | 0.262112 | + | 0.514423i | ||||
\(4\) | −0.663811 | + | 0.215685i | −0.331906 | + | 0.107843i | ||||
\(5\) | 1.59467 | − | 1.56749i | 0.713160 | − | 0.701001i | ||||
\(6\) | −0.670701 | − | 0.923140i | −0.273812 | − | 0.376870i | ||||
\(7\) | 1.36271 | + | 0.694338i | 0.515058 | + | 0.262435i | 0.692143 | − | 0.721761i | \(-0.256667\pi\) |
−0.177085 | + | 0.984196i | \(0.556667\pi\) | |||||||
\(8\) | 2.74302 | − | 1.39764i | 0.969803 | − | 0.494139i | ||||
\(9\) | −0.587785 | + | 0.809017i | −0.195928 | + | 0.269672i | ||||
\(10\) | −1.51742 | + | 2.05123i | −0.479852 | + | 0.648657i | ||||
\(11\) | 1.00122 | + | 3.16189i | 0.301880 | + | 0.953346i | ||||
\(12\) | −0.493541 | − | 0.493541i | −0.142473 | − | 0.142473i | ||||
\(13\) | 0.806762 | + | 5.09369i | 0.223756 | + | 1.41274i | 0.802220 | + | 0.597029i | \(0.203652\pi\) |
−0.578464 | + | 0.815708i | \(0.696348\pi\) | |||||||
\(14\) | −1.65974 | − | 0.539283i | −0.443585 | − | 0.144129i | ||||
\(15\) | 2.12061 | + | 0.709241i | 0.547539 | + | 0.183125i | ||||
\(16\) | −1.71260 | + | 1.24428i | −0.428150 | + | 0.311069i | ||||
\(17\) | 0.755485 | − | 4.76995i | 0.183232 | − | 1.15688i | −0.708968 | − | 0.705241i | \(-0.750839\pi\) |
0.892200 | − | 0.451641i | \(-0.149161\pi\) | |||||||
\(18\) | 0.518032 | − | 1.01670i | 0.122101 | − | 0.239637i | ||||
\(19\) | −1.65150 | + | 5.08279i | −0.378880 | + | 1.16607i | 0.561944 | + | 0.827176i | \(0.310054\pi\) |
−0.940823 | + | 0.338897i | \(0.889946\pi\) | |||||||
\(20\) | −0.720479 | + | 1.38446i | −0.161104 | + | 0.309575i | ||||
\(21\) | 1.52941i | 0.333745i | ||||||||
\(22\) | −1.69280 | − | 3.38478i | −0.360905 | − | 0.721638i | ||||
\(23\) | 4.97973 | − | 4.97973i | 1.03834 | − | 1.03834i | 0.0391100 | − | 0.999235i | \(-0.487548\pi\) |
0.999235 | − | 0.0391100i | \(-0.0124523\pi\) | |||||||
\(24\) | 2.49061 | + | 1.80953i | 0.508393 | + | 0.369369i | ||||
\(25\) | 0.0859731 | − | 4.99926i | 0.0171946 | − | 0.999852i | ||||
\(26\) | −1.81847 | − | 5.59667i | −0.356631 | − | 1.09760i | ||||
\(27\) | −0.987688 | − | 0.156434i | −0.190081 | − | 0.0301058i | ||||
\(28\) | −1.05434 | − | 0.166992i | −0.199252 | − | 0.0315585i | ||||
\(29\) | 0.562510 | + | 1.73123i | 0.104456 | + | 0.321481i | 0.989602 | − | 0.143831i | \(-0.0459421\pi\) |
−0.885147 | + | 0.465312i | \(0.845942\pi\) | |||||||
\(30\) | −2.51656 | − | 0.420794i | −0.459459 | − | 0.0768261i | ||||
\(31\) | −2.07975 | − | 1.51103i | −0.373535 | − | 0.271389i | 0.385140 | − | 0.922858i | \(-0.374153\pi\) |
−0.758675 | + | 0.651469i | \(0.774153\pi\) | |||||||
\(32\) | −2.64572 | + | 2.64572i | −0.467702 | + | 0.467702i | ||||
\(33\) | −2.36272 | + | 2.32756i | −0.411297 | + | 0.405177i | ||||
\(34\) | 5.51066i | 0.945071i | ||||||||
\(35\) | 3.26145 | − | 1.02879i | 0.551286 | − | 0.173898i | ||||
\(36\) | 0.215685 | − | 0.663811i | 0.0359476 | − | 0.110635i | ||||
\(37\) | 4.21510 | − | 8.27261i | 0.692959 | − | 1.36001i | −0.229270 | − | 0.973363i | \(-0.573634\pi\) |
0.922229 | − | 0.386645i | \(-0.126366\pi\) | |||||||
\(38\) | 0.953978 | − | 6.02318i | 0.154756 | − | 0.977089i | ||||
\(39\) | −4.17225 | + | 3.03132i | −0.668095 | + | 0.485400i | ||||
\(40\) | 2.18344 | − | 6.52842i | 0.345233 | − | 1.03223i | ||||
\(41\) | −10.1057 | − | 3.28353i | −1.57824 | − | 0.512801i | −0.616636 | − | 0.787248i | \(-0.711505\pi\) |
−0.961602 | + | 0.274448i | \(0.911505\pi\) | |||||||
\(42\) | −0.273002 | − | 1.72367i | −0.0421252 | − | 0.265968i | ||||
\(43\) | 0.373613 | + | 0.373613i | 0.0569755 | + | 0.0569755i | 0.735020 | − | 0.678045i | \(-0.237173\pi\) |
−0.678045 | + | 0.735020i | \(0.737173\pi\) | |||||||
\(44\) | −1.34660 | − | 1.88295i | −0.203007 | − | 0.283865i | ||||
\(45\) | 0.330797 | + | 2.21146i | 0.0493123 | + | 0.329666i | ||||
\(46\) | −4.72334 | + | 6.50112i | −0.696419 | + | 0.958538i | ||||
\(47\) | −1.37877 | + | 0.702519i | −0.201115 | + | 0.102473i | −0.551647 | − | 0.834077i | \(-0.686001\pi\) |
0.350533 | + | 0.936550i | \(0.386001\pi\) | |||||||
\(48\) | −1.88616 | − | 0.961048i | −0.272244 | − | 0.138715i | ||||
\(49\) | −2.73961 | − | 3.77075i | −0.391373 | − | 0.538679i | ||||
\(50\) | 0.795484 | + | 5.64959i | 0.112498 | + | 0.798973i | ||||
\(51\) | 4.59304 | − | 1.49237i | 0.643154 | − | 0.208973i | ||||
\(52\) | −1.63417 | − | 3.20725i | −0.226619 | − | 0.444765i | ||||
\(53\) | −11.0715 | + | 1.75355i | −1.52079 | + | 0.240869i | −0.860230 | − | 0.509907i | \(-0.829680\pi\) |
−0.660557 | + | 0.750776i | \(0.729680\pi\) | |||||||
\(54\) | 1.14106 | 0.155279 | ||||||||
\(55\) | 6.55284 | + | 3.47279i | 0.883585 | + | 0.468270i | ||||
\(56\) | 4.70838 | 0.629184 | ||||||||
\(57\) | −5.27857 | + | 0.836043i | −0.699163 | + | 0.110737i | ||||
\(58\) | −0.942986 | − | 1.85071i | −0.123820 | − | 0.243011i | ||||
\(59\) | 1.41843 | − | 0.460877i | 0.184664 | − | 0.0600011i | −0.215225 | − | 0.976564i | \(-0.569049\pi\) |
0.399889 | + | 0.916563i | \(0.369049\pi\) | |||||||
\(60\) | −1.56066 | − | 0.0134184i | −0.201480 | − | 0.00173231i | ||||
\(61\) | 2.06914 | + | 2.84793i | 0.264926 | + | 0.364640i | 0.920669 | − | 0.390345i | \(-0.127644\pi\) |
−0.655742 | + | 0.754985i | \(0.727644\pi\) | |||||||
\(62\) | 2.61364 | + | 1.33171i | 0.331932 | + | 0.169128i | ||||
\(63\) | −1.36271 | + | 0.694338i | −0.171686 | + | 0.0874783i | ||||
\(64\) | 4.99806 | − | 6.87923i | 0.624757 | − | 0.859904i | ||||
\(65\) | 9.27082 | + | 6.85820i | 1.14990 | + | 0.850655i | ||||
\(66\) | 2.24735 | − | 3.04495i | 0.276630 | − | 0.374807i | ||||
\(67\) | 0.161671 | + | 0.161671i | 0.0197513 | + | 0.0197513i | 0.716913 | − | 0.697162i | \(-0.245554\pi\) |
−0.697162 | + | 0.716913i | \(0.745554\pi\) | |||||||
\(68\) | 0.527308 | + | 3.32929i | 0.0639455 | + | 0.403736i | ||||
\(69\) | 6.69772 | + | 2.17622i | 0.806311 | + | 0.261986i | ||||
\(70\) | −3.49207 | + | 1.74164i | −0.417382 | + | 0.208166i | ||||
\(71\) | −1.37579 | + | 0.999573i | −0.163277 | + | 0.118627i | −0.666423 | − | 0.745574i | \(-0.732176\pi\) |
0.503147 | + | 0.864201i | \(0.332176\pi\) | |||||||
\(72\) | −0.481593 | + | 3.04066i | −0.0567563 | + | 0.358345i | ||||
\(73\) | 1.41733 | − | 2.78166i | 0.165886 | − | 0.325569i | −0.793067 | − | 0.609134i | \(-0.791517\pi\) |
0.958953 | + | 0.283565i | \(0.0915172\pi\) | |||||||
\(74\) | −3.27381 | + | 10.0758i | −0.380573 | + | 1.17128i | ||||
\(75\) | 4.49340 | − | 2.19301i | 0.518854 | − | 0.253227i | ||||
\(76\) | − | 3.73022i | − | 0.427886i | ||||||
\(77\) | −0.831042 | + | 5.00394i | −0.0947060 | + | 0.570252i | ||||
\(78\) | 4.16110 | − | 4.16110i | 0.471152 | − | 0.471152i | ||||
\(79\) | 1.71158 | + | 1.24354i | 0.192568 | + | 0.139909i | 0.679892 | − | 0.733312i | \(-0.262027\pi\) |
−0.487323 | + | 0.873222i | \(0.662027\pi\) | |||||||
\(80\) | −0.780652 | + | 4.66869i | −0.0872796 | + | 0.521976i | ||||
\(81\) | −0.309017 | − | 0.951057i | −0.0343352 | − | 0.105673i | ||||
\(82\) | 11.9753 | + | 1.89671i | 1.32246 | + | 0.209456i | ||||
\(83\) | 6.98551 | + | 1.10640i | 0.766759 | + | 0.121443i | 0.527548 | − | 0.849525i | \(-0.323111\pi\) |
0.239211 | + | 0.970968i | \(0.423111\pi\) | |||||||
\(84\) | −0.329871 | − | 1.01524i | −0.0359919 | − | 0.110772i | ||||
\(85\) | −6.27207 | − | 8.79073i | −0.680302 | − | 0.953488i | ||||
\(86\) | −0.487759 | − | 0.354378i | −0.0525964 | − | 0.0382135i | ||||
\(87\) | −1.28716 | + | 1.28716i | −0.137998 | + | 0.137998i | ||||
\(88\) | 7.16554 | + | 7.27378i | 0.763849 | + | 0.775387i | ||||
\(89\) | − | 11.0867i | − | 1.17518i | −0.809158 | − | 0.587591i | \(-0.800076\pi\) | ||
0.809158 | − | 0.587591i | \(-0.199924\pi\) | |||||||
\(90\) | −0.767564 | − | 2.43331i | −0.0809083 | − | 0.256493i | ||||
\(91\) | −2.43736 | + | 7.50142i | −0.255505 | + | 0.786362i | ||||
\(92\) | −2.23155 | + | 4.37965i | −0.232655 | + | 0.456610i | ||||
\(93\) | 0.402149 | − | 2.53907i | 0.0417009 | − | 0.263289i | ||||
\(94\) | 1.42850 | − | 1.03786i | 0.147338 | − | 0.107047i | ||||
\(95\) | 5.33360 | + | 10.6941i | 0.547216 | + | 1.09719i | ||||
\(96\) | −3.55849 | − | 1.15622i | −0.363186 | − | 0.118006i | ||||
\(97\) | 2.85798 | + | 18.0446i | 0.290184 | + | 1.83215i | 0.514327 | + | 0.857594i | \(0.328042\pi\) |
−0.224143 | + | 0.974556i | \(0.571958\pi\) | |||||||
\(98\) | 3.76067 | + | 3.76067i | 0.379885 | + | 0.379885i | ||||
\(99\) | −3.14653 | − | 1.04851i | −0.316238 | − | 0.105379i | ||||
\(100\) | 1.02120 | + | 3.33711i | 0.102120 | + | 0.333711i | ||||
\(101\) | −1.50802 | + | 2.07561i | −0.150053 | + | 0.206531i | −0.877426 | − | 0.479712i | \(-0.840741\pi\) |
0.727373 | + | 0.686243i | \(0.240741\pi\) | |||||||
\(102\) | −4.91003 | + | 2.50179i | −0.486166 | + | 0.247714i | ||||
\(103\) | −3.81197 | − | 1.94230i | −0.375605 | − | 0.191380i | 0.255989 | − | 0.966680i | \(-0.417599\pi\) |
−0.631594 | + | 0.775300i | \(0.717599\pi\) | |||||||
\(104\) | 9.33210 | + | 12.8445i | 0.915087 | + | 1.25951i | ||||
\(105\) | 2.39733 | + | 2.43891i | 0.233955 | + | 0.238013i | ||||
\(106\) | 12.1647 | − | 3.95256i | 1.18154 | − | 0.383907i | ||||
\(107\) | −4.58406 | − | 8.99672i | −0.443157 | − | 0.869746i | −0.999254 | − | 0.0386276i | \(-0.987701\pi\) |
0.556096 | − | 0.831118i | \(-0.312299\pi\) | |||||||
\(108\) | 0.689379 | − | 0.109187i | 0.0663356 | − | 0.0105065i | ||||
\(109\) | −15.9895 | −1.53152 | −0.765758 | − | 0.643129i | \(-0.777636\pi\) | ||||
−0.765758 | + | 0.643129i | \(0.777636\pi\) | |||||||
\(110\) | −8.00506 | − | 2.74419i | −0.763252 | − | 0.261648i | ||||
\(111\) | 9.28456 | 0.881252 | ||||||||
\(112\) | −3.19773 | + | 0.506471i | −0.302157 | + | 0.0478570i | ||||
\(113\) | −3.24062 | − | 6.36008i | −0.304852 | − | 0.598306i | 0.686859 | − | 0.726790i | \(-0.258989\pi\) |
−0.991712 | + | 0.128484i | \(0.958989\pi\) | |||||||
\(114\) | 5.79979 | − | 1.88447i | 0.543200 | − | 0.176496i | ||||
\(115\) | 0.135389 | − | 15.7467i | 0.0126251 | − | 1.46839i | ||||
\(116\) | −0.746802 | − | 1.02788i | −0.0693388 | − | 0.0954367i | ||||
\(117\) | −4.59509 | − | 2.34131i | −0.424816 | − | 0.216455i | ||||
\(118\) | −1.51633 | + | 0.772609i | −0.139589 | + | 0.0711244i | ||||
\(119\) | 4.34147 | − | 5.97551i | 0.397981 | − | 0.547775i | ||||
\(120\) | 6.80812 | − | 1.01838i | 0.621494 | − | 0.0929648i | ||||
\(121\) | −8.99511 | + | 6.33151i | −0.817737 | + | 0.575591i | ||||
\(122\) | −2.84031 | − | 2.84031i | −0.257150 | − | 0.257150i | ||||
\(123\) | −1.66223 | − | 10.4949i | −0.149878 | − | 0.946293i | ||||
\(124\) | 1.70647 | + | 0.554466i | 0.153246 | + | 0.0497925i | ||||
\(125\) | −7.69917 | − | 8.10696i | −0.688635 | − | 0.725108i | ||||
\(126\) | 1.41186 | − | 1.02578i | 0.125779 | − | 0.0913834i | ||||
\(127\) | −0.150566 | + | 0.950634i | −0.0133605 | + | 0.0843551i | −0.993468 | − | 0.114114i | \(-0.963597\pi\) |
0.980107 | + | 0.198469i | \(0.0635970\pi\) | |||||||
\(128\) | −1.00762 | + | 1.97756i | −0.0890617 | + | 0.174793i | ||||
\(129\) | −0.163275 | + | 0.502509i | −0.0143756 | + | 0.0442435i | ||||
\(130\) | −11.6726 | − | 6.07444i | −1.02375 | − | 0.532763i | ||||
\(131\) | − | 6.91325i | − | 0.604013i | −0.953306 | − | 0.302007i | \(-0.902344\pi\) | ||
0.953306 | − | 0.302007i | \(-0.0976565\pi\) | |||||||
\(132\) | 1.06638 | − | 2.05467i | 0.0928164 | − | 0.178836i | ||||
\(133\) | −5.77970 | + | 5.77970i | −0.501163 | + | 0.501163i | ||||
\(134\) | −0.211065 | − | 0.153348i | −0.0182332 | − | 0.0132472i | ||||
\(135\) | −1.82025 | + | 1.29873i | −0.156662 | + | 0.111777i | ||||
\(136\) | −4.59434 | − | 14.1399i | −0.393962 | − | 1.21249i | ||||
\(137\) | 0.700789 | + | 0.110994i | 0.0598724 | + | 0.00948286i | 0.186299 | − | 0.982493i | \(-0.440351\pi\) |
−0.126426 | + | 0.991976i | \(0.540351\pi\) | |||||||
\(138\) | −7.93689 | − | 1.25708i | −0.675633 | − | 0.107010i | ||||
\(139\) | −3.23794 | − | 9.96534i | −0.274638 | − | 0.845249i | −0.989315 | − | 0.145794i | \(-0.953426\pi\) |
0.714677 | − | 0.699455i | \(-0.246574\pi\) | |||||||
\(140\) | −1.94309 | + | 1.38637i | −0.164221 | + | 0.117170i | ||||
\(141\) | −1.25190 | − | 0.909558i | −0.105429 | − | 0.0765986i | ||||
\(142\) | 1.37212 | − | 1.37212i | 0.115145 | − | 0.115145i | ||||
\(143\) | −15.2980 | + | 7.65081i | −1.27928 | + | 0.639793i | ||||
\(144\) | − | 2.11689i | − | 0.176407i | ||||||
\(145\) | 3.61070 | + | 1.87902i | 0.299852 | + | 0.156044i | ||||
\(146\) | −1.10082 | + | 3.38797i | −0.0911045 | + | 0.280391i | ||||
\(147\) | 2.11601 | − | 4.15290i | 0.174525 | − | 0.342525i | ||||
\(148\) | −1.01375 | + | 6.40059i | −0.0833300 | + | 0.526125i | ||||
\(149\) | 3.78796 | − | 2.75211i | 0.310322 | − | 0.225462i | −0.421713 | − | 0.906729i | \(-0.638571\pi\) |
0.732035 | + | 0.681267i | \(0.238571\pi\) | |||||||
\(150\) | −4.67268 | + | 3.27364i | −0.381523 | + | 0.267292i | ||||
\(151\) | 17.1709 | + | 5.57917i | 1.39735 | + | 0.454027i | 0.908333 | − | 0.418247i | \(-0.137355\pi\) |
0.489017 | + | 0.872274i | \(0.337355\pi\) | |||||||
\(152\) | 2.57381 | + | 16.2504i | 0.208763 | + | 1.31808i | ||||
\(153\) | 3.41490 | + | 3.41490i | 0.276079 | + | 0.276079i | ||||
\(154\) | 0.0433847 | − | 5.78786i | 0.00349604 | − | 0.466399i | ||||
\(155\) | −5.68505 | + | 0.850385i | −0.456634 | + | 0.0683046i | ||||
\(156\) | 2.11578 | − | 2.91212i | 0.169398 | − | 0.233156i | ||||
\(157\) | 14.1989 | − | 7.23471i | 1.13320 | − | 0.577393i | 0.216225 | − | 0.976344i | \(-0.430625\pi\) |
0.916972 | + | 0.398951i | \(0.130625\pi\) | |||||||
\(158\) | −2.15096 | − | 1.09597i | −0.171121 | − | 0.0871905i | ||||
\(159\) | −6.58878 | − | 9.06868i | −0.522524 | − | 0.719193i | ||||
\(160\) | −0.0719321 | + | 8.36619i | −0.00568673 | + | 0.661406i | ||||
\(161\) | 10.2436 | − | 3.32833i | 0.807306 | − | 0.262309i | ||||
\(162\) | 0.518032 | + | 1.01670i | 0.0407005 | + | 0.0798792i | ||||
\(163\) | 4.58026 | − | 0.725442i | 0.358754 | − | 0.0568210i | 0.0255440 | − | 0.999674i | \(-0.491868\pi\) |
0.333210 | + | 0.942853i | \(0.391868\pi\) | |||||||
\(164\) | 7.41646 | 0.579128 | ||||||||
\(165\) | −0.119347 | + | 7.41524i | −0.00929113 | + | 0.577276i | ||||
\(166\) | −8.07027 | −0.626374 | ||||||||
\(167\) | −6.34862 | + | 1.00552i | −0.491271 | + | 0.0778097i | −0.397155 | − | 0.917751i | \(-0.630003\pi\) |
−0.0941162 | + | 0.995561i | \(0.530003\pi\) | |||||||
\(168\) | 2.13756 | + | 4.19520i | 0.164916 | + | 0.323667i | ||||
\(169\) | −12.9311 | + | 4.20158i | −0.994702 | + | 0.323198i | ||||
\(170\) | 8.63789 | + | 8.78771i | 0.662496 | + | 0.673987i | ||||
\(171\) | −3.14134 | − | 4.32368i | −0.240224 | − | 0.330640i | ||||
\(172\) | −0.328592 | − | 0.167426i | −0.0250549 | − | 0.0127661i | ||||
\(173\) | −1.70501 | + | 0.868748i | −0.129630 | + | 0.0660497i | −0.517603 | − | 0.855621i | \(-0.673175\pi\) |
0.387973 | + | 0.921671i | \(0.373175\pi\) | |||||||
\(174\) | 1.22089 | − | 1.68041i | 0.0925555 | − | 0.127392i | ||||
\(175\) | 3.58833 | − | 6.75287i | 0.271252 | − | 0.510469i | ||||
\(176\) | −5.64896 | − | 4.16926i | −0.425806 | − | 0.314270i | ||||
\(177\) | 1.05460 | + | 1.05460i | 0.0792686 | + | 0.0792686i | ||||
\(178\) | 1.97899 | + | 12.4948i | 0.148331 | + | 0.936527i | ||||
\(179\) | 7.59792 | + | 2.46871i | 0.567895 | + | 0.184520i | 0.578871 | − | 0.815419i | \(-0.303494\pi\) |
−0.0109754 | + | 0.999940i | \(0.503494\pi\) | |||||||
\(180\) | −0.696567 | − | 1.39665i | −0.0519191 | − | 0.104100i | ||||
\(181\) | −8.76400 | + | 6.36742i | −0.651423 | + | 0.473287i | −0.863756 | − | 0.503911i | \(-0.831894\pi\) |
0.212332 | + | 0.977197i | \(0.431894\pi\) | |||||||
\(182\) | 1.40793 | − | 8.88929i | 0.104362 | − | 0.658918i | ||||
\(183\) | −1.59815 | + | 3.13655i | −0.118139 | + | 0.231860i | ||||
\(184\) | 6.69963 | − | 20.6193i | 0.493903 | − | 1.52008i | ||||
\(185\) | −6.24548 | − | 19.7992i | −0.459177 | − | 1.45567i | ||||
\(186\) | 2.93335i | 0.215084i | ||||||||
\(187\) | 15.8385 | − | 2.38701i | 1.15822 | − | 0.174555i | ||||
\(188\) | 0.763721 | − | 0.763721i | 0.0557001 | − | 0.0557001i | ||||
\(189\) | −1.23732 | − | 0.898965i | −0.0900017 | − | 0.0653901i | ||||
\(190\) | −7.91997 | − | 11.1004i | −0.574575 | − | 0.805305i | ||||
\(191\) | 4.71158 | + | 14.5007i | 0.340918 | + | 1.04924i | 0.963733 | + | 0.266868i | \(0.0859889\pi\) |
−0.622815 | + | 0.782369i | \(0.714011\pi\) | |||||||
\(192\) | 8.39851 | + | 1.33019i | 0.606110 | + | 0.0959984i | ||||
\(193\) | 11.8207 | + | 1.87221i | 0.850872 | + | 0.134765i | 0.566615 | − | 0.823983i | \(-0.308253\pi\) |
0.284258 | + | 0.958748i | \(0.408253\pi\) | |||||||
\(194\) | −6.44198 | − | 19.8264i | −0.462507 | − | 1.42345i | ||||
\(195\) | −1.90183 | + | 11.3739i | −0.136193 | + | 0.814503i | ||||
\(196\) | 2.63188 | + | 1.91217i | 0.187991 | + | 0.136584i | ||||
\(197\) | −11.1163 | + | 11.1163i | −0.792004 | + | 0.792004i | −0.981820 | − | 0.189816i | \(-0.939211\pi\) |
0.189816 | + | 0.981820i | \(0.439211\pi\) | |||||||
\(198\) | 3.73335 | + | 0.620024i | 0.265317 | + | 0.0440632i | ||||
\(199\) | 21.5416i | 1.52704i | 0.645783 | + | 0.763521i | \(0.276531\pi\) | ||||
−0.645783 | + | 0.763521i | \(0.723469\pi\) | |||||||
\(200\) | −6.75133 | − | 13.8332i | −0.477391 | − | 0.978156i | ||||
\(201\) | −0.0706530 | + | 0.217448i | −0.00498348 | + | 0.0153376i | ||||
\(202\) | 1.32906 | − | 2.60843i | 0.0935124 | − | 0.183528i | ||||
\(203\) | −0.435517 | + | 2.74974i | −0.0305673 | + | 0.192994i | ||||
\(204\) | −2.72703 | + | 1.98130i | −0.190930 | + | 0.138719i | ||||
\(205\) | −21.2621 | + | 10.6043i | −1.48501 | + | 0.740638i | ||||
\(206\) | 4.64285 | + | 1.50855i | 0.323483 | + | 0.105106i | ||||
\(207\) | 1.10167 | + | 6.95569i | 0.0765716 | + | 0.483454i | ||||
\(208\) | −7.71962 | − | 7.71962i | −0.535260 | − | 0.535260i | ||||
\(209\) | −17.7248 | − | 0.132861i | −1.22605 | − | 0.00919022i | ||||
\(210\) | −3.13718 | − | 2.32076i | −0.216486 | − | 0.160148i | ||||
\(211\) | −4.13145 | + | 5.68646i | −0.284421 | + | 0.391472i | −0.927192 | − | 0.374587i | \(-0.877785\pi\) |
0.642771 | + | 0.766058i | \(0.277785\pi\) | |||||||
\(212\) | 6.97117 | − | 3.55199i | 0.478782 | − | 0.243952i | ||||
\(213\) | −1.51522 | − | 0.772045i | −0.103821 | − | 0.0528996i | ||||
\(214\) | 6.77223 | + | 9.32118i | 0.462940 | + | 0.637183i | ||||
\(215\) | 1.18143 | + | 0.0101578i | 0.0805726 | + | 0.000692759i | ||||
\(216\) | −2.92788 | + | 0.951327i | −0.199217 | + | 0.0647296i | ||||
\(217\) | −1.78495 | − | 3.50315i | −0.121170 | − | 0.237810i | ||||
\(218\) | 18.0204 | − | 2.85415i | 1.22050 | − | 0.193308i | ||||
\(219\) | 3.12193 | 0.210961 | ||||||||
\(220\) | −5.09888 | − | 0.891923i | −0.343766 | − | 0.0601334i | ||||
\(221\) | 24.9062 | 1.67537 | ||||||||
\(222\) | −10.4638 | + | 1.65731i | −0.702287 | + | 0.111231i | ||||
\(223\) | −7.69484 | − | 15.1020i | −0.515285 | − | 1.01130i | −0.991270 | − | 0.131850i | \(-0.957908\pi\) |
0.475985 | − | 0.879454i | \(-0.342092\pi\) | |||||||
\(224\) | −5.44239 | + | 1.76834i | −0.363635 | + | 0.118152i | ||||
\(225\) | 3.99395 | + | 3.00805i | 0.266264 | + | 0.200536i | ||||
\(226\) | 4.78752 | + | 6.58946i | 0.318461 | + | 0.438324i | ||||
\(227\) | 12.2415 | + | 6.23734i | 0.812495 | + | 0.413987i | 0.810303 | − | 0.586011i | \(-0.199302\pi\) |
0.00219156 | + | 0.999998i | \(0.499302\pi\) | |||||||
\(228\) | 3.32365 | − | 1.69348i | 0.220114 | − | 0.112154i | ||||
\(229\) | 12.1652 | − | 16.7439i | 0.803897 | − | 1.10647i | −0.188339 | − | 0.982104i | \(-0.560310\pi\) |
0.992236 | − | 0.124365i | \(-0.0396895\pi\) | |||||||
\(230\) | 2.65823 | + | 17.7709i | 0.175278 | + | 1.17178i | ||||
\(231\) | −4.83583 | + | 1.53128i | −0.318174 | + | 0.100751i | ||||
\(232\) | 3.96261 | + | 3.96261i | 0.260158 | + | 0.260158i | ||||
\(233\) | −2.61019 | − | 16.4801i | −0.170999 | − | 1.07965i | −0.912615 | − | 0.408821i | \(-0.865940\pi\) |
0.741615 | − | 0.670825i | \(-0.234060\pi\) | |||||||
\(234\) | 5.59667 | + | 1.81847i | 0.365866 | + | 0.118877i | ||||
\(235\) | −1.09750 | + | 3.28150i | −0.0715932 | + | 0.214061i | ||||
\(236\) | −0.842168 | + | 0.611871i | −0.0548205 | + | 0.0398294i | ||||
\(237\) | −0.330958 | + | 2.08959i | −0.0214980 | + | 0.135733i | ||||
\(238\) | −3.82626 | + | 7.50946i | −0.248020 | + | 0.486766i | ||||
\(239\) | −0.433057 | + | 1.33281i | −0.0280121 | + | 0.0862124i | −0.964085 | − | 0.265593i | \(-0.914432\pi\) |
0.936073 | + | 0.351806i | \(0.114432\pi\) | |||||||
\(240\) | −4.51424 | + | 1.42398i | −0.291393 | + | 0.0919172i | ||||
\(241\) | − | 1.19156i | − | 0.0767551i | −0.999263 | − | 0.0383775i | \(-0.987781\pi\) | ||
0.999263 | − | 0.0383775i | \(-0.0122190\pi\) | |||||||
\(242\) | 9.00745 | − | 8.74135i | 0.579021 | − | 0.561915i | ||||
\(243\) | 0.707107 | − | 0.707107i | 0.0453609 | − | 0.0453609i | ||||
\(244\) | −1.98777 | − | 1.44420i | −0.127254 | − | 0.0924556i | ||||
\(245\) | −10.2794 | − | 1.71882i | −0.656726 | − | 0.109811i | ||||
\(246\) | 3.74671 | + | 11.5312i | 0.238882 | + | 0.735202i | ||||
\(247\) | −27.2226 | − | 4.31163i | −1.73213 | − | 0.274342i | ||||
\(248\) | −7.81667 | − | 1.23804i | −0.496359 | − | 0.0786155i | ||||
\(249\) | 2.18555 | + | 6.72643i | 0.138503 | + | 0.426270i | ||||
\(250\) | 10.1242 | + | 7.76235i | 0.640310 | + | 0.490934i | ||||
\(251\) | 22.6893 | + | 16.4847i | 1.43213 | + | 1.04051i | 0.989614 | + | 0.143749i | \(0.0459157\pi\) |
0.442521 | + | 0.896758i | \(0.354084\pi\) | |||||||
\(252\) | 0.754827 | − | 0.754827i | 0.0475496 | − | 0.0475496i | ||||
\(253\) | 20.7312 | + | 10.7595i | 1.30336 | + | 0.676447i | ||||
\(254\) | − | 1.09826i | − | 0.0689107i | ||||||
\(255\) | 4.98513 | − | 9.57936i | 0.312181 | − | 0.599883i | ||||
\(256\) | −4.47266 | + | 13.7654i | −0.279541 | + | 0.860340i | ||||
\(257\) | 3.75290 | − | 7.36549i | 0.234100 | − | 0.459446i | −0.743833 | − | 0.668365i | \(-0.766994\pi\) |
0.977933 | + | 0.208919i | \(0.0669944\pi\) | |||||||
\(258\) | 0.0943148 | − | 0.595480i | 0.00587179 | − | 0.0370730i | ||||
\(259\) | 11.4880 | − | 8.34650i | 0.713827 | − | 0.518626i | ||||
\(260\) | −7.63329 | − | 2.55297i | −0.473396 | − | 0.158328i | ||||
\(261\) | −1.73123 | − | 0.562510i | −0.107160 | − | 0.0348185i | ||||
\(262\) | 1.23403 | + | 7.79134i | 0.0762385 | + | 0.481351i | ||||
\(263\) | −11.5967 | − | 11.5967i | −0.715083 | − | 0.715083i | 0.252511 | − | 0.967594i | \(-0.418744\pi\) |
−0.967594 | + | 0.252511i | \(0.918744\pi\) | |||||||
\(264\) | −3.22789 | + | 9.68677i | −0.198663 | + | 0.596180i | ||||
\(265\) | −14.9068 | + | 20.1508i | −0.915715 | + | 1.23785i | ||||
\(266\) | 5.48212 | − | 7.54550i | 0.336131 | − | 0.462644i | ||||
\(267\) | 9.87828 | − | 5.03323i | 0.604541 | − | 0.308029i | ||||
\(268\) | −0.142189 | − | 0.0724491i | −0.00868560 | − | 0.00442554i | ||||
\(269\) | −7.41230 | − | 10.2022i | −0.451936 | − | 0.622036i | 0.520876 | − | 0.853632i | \(-0.325605\pi\) |
−0.972812 | + | 0.231596i | \(0.925605\pi\) | |||||||
\(270\) | 1.81963 | − | 1.78860i | 0.110739 | − | 0.108851i | ||||
\(271\) | 5.44539 | − | 1.76932i | 0.330784 | − | 0.107478i | −0.138916 | − | 0.990304i | \(-0.544362\pi\) |
0.469700 | + | 0.882826i | \(0.344362\pi\) | |||||||
\(272\) | 4.64129 | + | 9.10904i | 0.281419 | + | 0.552317i | ||||
\(273\) | −7.79035 | + | 1.23387i | −0.471493 | + | 0.0746772i | ||||
\(274\) | −0.809613 | −0.0489105 | ||||||||
\(275\) | 15.8932 | − | 4.73353i | 0.958396 | − | 0.285443i | ||||
\(276\) | −4.91540 | −0.295872 | ||||||||
\(277\) | 17.3908 | − | 2.75443i | 1.04491 | − | 0.165498i | 0.389699 | − | 0.920942i | \(-0.372579\pi\) |
0.655213 | + | 0.755444i | \(0.272579\pi\) | |||||||
\(278\) | 5.42804 | + | 10.6531i | 0.325552 | + | 0.638932i | ||||
\(279\) | 2.44490 | − | 0.794395i | 0.146372 | − | 0.0475592i | ||||
\(280\) | 7.50834 | − | 7.38032i | 0.448709 | − | 0.441059i | ||||
\(281\) | −7.90740 | − | 10.8836i | −0.471716 | − | 0.649261i | 0.505171 | − | 0.863020i | \(-0.331430\pi\) |
−0.976887 | + | 0.213758i | \(0.931430\pi\) | |||||||
\(282\) | 1.57327 | + | 0.801620i | 0.0936867 | + | 0.0477358i | ||||
\(283\) | 11.0795 | − | 5.64529i | 0.658608 | − | 0.335578i | −0.0925422 | − | 0.995709i | \(-0.529499\pi\) |
0.751150 | + | 0.660131i | \(0.229499\pi\) | |||||||
\(284\) | 0.697674 | − | 0.960266i | 0.0413994 | − | 0.0569813i | ||||
\(285\) | −7.10711 | + | 9.60730i | −0.420989 | + | 0.569087i | ||||
\(286\) | 15.8754 | − | 11.3533i | 0.938730 | − | 0.671334i | ||||
\(287\) | −11.4912 | − | 11.4912i | −0.678307 | − | 0.678307i | ||||
\(288\) | −0.585317 | − | 3.69555i | −0.0344902 | − | 0.217762i | ||||
\(289\) | −6.01367 | − | 1.95396i | −0.353746 | − | 0.114939i | ||||
\(290\) | −4.40472 | − | 1.47317i | −0.258654 | − | 0.0865074i | ||||
\(291\) | −14.7803 | + | 10.7386i | −0.866439 | + | 0.629505i | ||||
\(292\) | −0.340874 | + | 2.15220i | −0.0199482 | + | 0.125948i | ||||
\(293\) | −7.72404 | + | 15.1593i | −0.451243 | + | 0.885615i | 0.547563 | + | 0.836764i | \(0.315556\pi\) |
−0.998806 | + | 0.0488501i | \(0.984444\pi\) | |||||||
\(294\) | −1.64347 | + | 5.05809i | −0.0958493 | + | 0.294994i | ||||
\(295\) | 1.53952 | − | 2.95832i | 0.0896344 | − | 0.172240i | ||||
\(296\) | − | 28.5831i | − | 1.66136i | ||||||
\(297\) | −0.494266 | − | 3.27959i | −0.0286802 | − | 0.190301i | ||||
\(298\) | −3.77783 | + | 3.77783i | −0.218844 | + | 0.218844i | ||||
\(299\) | 29.3827 | + | 21.3478i | 1.69924 | + | 1.23457i | ||||
\(300\) | −2.50977 | + | 2.42491i | −0.144902 | + | 0.140002i | ||||
\(301\) | 0.249715 | + | 0.768543i | 0.0143933 | + | 0.0442981i | ||||
\(302\) | −20.3478 | − | 3.22278i | −1.17088 | − | 0.185450i | ||||
\(303\) | −2.53401 | − | 0.401347i | −0.145575 | − | 0.0230568i | ||||
\(304\) | −3.49604 | − | 10.7597i | −0.200512 | − | 0.617112i | ||||
\(305\) | 7.76369 | + | 1.29817i | 0.444548 | + | 0.0743329i | ||||
\(306\) | −4.45822 | − | 3.23909i | −0.254859 | − | 0.185166i | ||||
\(307\) | 3.41893 | − | 3.41893i | 0.195128 | − | 0.195128i | −0.602779 | − | 0.797908i | \(-0.705940\pi\) |
0.797908 | + | 0.602779i | \(0.205940\pi\) | |||||||
\(308\) | −0.527622 | − | 3.50092i | −0.0300641 | − | 0.199483i | ||||
\(309\) | − | 4.27827i | − | 0.243382i | ||||||
\(310\) | 6.25534 | − | 1.97319i | 0.355280 | − | 0.112070i | ||||
\(311\) | −4.08382 | + | 12.5687i | −0.231572 | + | 0.712706i | 0.765985 | + | 0.642858i | \(0.222252\pi\) |
−0.997558 | + | 0.0698483i | \(0.977748\pi\) | |||||||
\(312\) | −7.20788 | + | 14.1463i | −0.408066 | + | 0.800874i | ||||
\(313\) | −0.422154 | + | 2.66537i | −0.0238615 | + | 0.150656i | −0.996742 | − | 0.0806510i | \(-0.974300\pi\) |
0.972881 | + | 0.231307i | \(0.0743001\pi\) | |||||||
\(314\) | −14.7110 | + | 10.6882i | −0.830190 | + | 0.603168i | ||||
\(315\) | −1.08472 | + | 3.24328i | −0.0611171 | + | 0.182738i | ||||
\(316\) | −1.40438 | − | 0.456311i | −0.0790027 | − | 0.0256695i | ||||
\(317\) | −0.651276 | − | 4.11199i | −0.0365793 | − | 0.230953i | 0.962625 | − | 0.270838i | \(-0.0873007\pi\) |
−0.999204 | + | 0.0398853i | \(0.987301\pi\) | |||||||
\(318\) | 9.04443 | + | 9.04443i | 0.507187 | + | 0.507187i | ||||
\(319\) | −4.91076 | + | 3.51194i | −0.274950 | + | 0.196631i | ||||
\(320\) | −2.81283 | − | 18.8045i | −0.157242 | − | 1.05120i | ||||
\(321\) | 5.93502 | − | 8.16885i | 0.331260 | − | 0.455941i | ||||
\(322\) | −10.9505 | + | 5.57958i | −0.610250 | + | 0.310938i | ||||
\(323\) | 22.9970 | + | 11.7175i | 1.27959 | + | 0.651981i | ||||
\(324\) | 0.410258 | + | 0.564672i | 0.0227921 | + | 0.0313706i | ||||
\(325\) | 25.5341 | − | 3.59529i | 1.41638 | − | 0.199431i | ||||
\(326\) | −5.03254 | + | 1.63517i | −0.278726 | + | 0.0905637i | ||||
\(327\) | −7.25908 | − | 14.2467i | −0.401428 | − | 0.787847i | ||||
\(328\) | −32.3092 | + | 5.11727i | −1.78397 | + | 0.282554i | ||||
\(329\) | −2.36666 | −0.130478 | ||||||||
\(330\) | −1.18913 | − | 8.37839i | −0.0654593 | − | 0.461215i | ||||
\(331\) | −34.3521 | −1.88816 | −0.944082 | − | 0.329710i | \(-0.893049\pi\) | ||||
−0.944082 | + | 0.329710i | \(0.893049\pi\) | |||||||
\(332\) | −4.87569 | + | 0.772234i | −0.267588 | + | 0.0423818i | ||||
\(333\) | 4.21510 | + | 8.27261i | 0.230986 | + | 0.453336i | ||||
\(334\) | 6.97551 | − | 2.26648i | 0.381683 | − | 0.124016i | ||||
\(335\) | 0.511231 | + | 0.00439554i | 0.0279315 | + | 0.000240154i | ||||
\(336\) | −1.90301 | − | 2.61927i | −0.103818 | − | 0.142893i | ||||
\(337\) | 9.91719 | + | 5.05306i | 0.540224 | + | 0.275258i | 0.702738 | − | 0.711448i | \(-0.251960\pi\) |
−0.162514 | + | 0.986706i | \(0.551960\pi\) | |||||||
\(338\) | 13.8236 | − | 7.04347i | 0.751904 | − | 0.383114i | ||||
\(339\) | 4.19566 | − | 5.77483i | 0.227877 | − | 0.313646i | ||||
\(340\) | 6.05950 | + | 4.48259i | 0.328623 | + | 0.243102i | ||||
\(341\) | 2.69542 | − | 8.08883i | 0.145965 | − | 0.438035i | ||||
\(342\) | 4.31212 | + | 4.31212i | 0.233173 | + | 0.233173i | ||||
\(343\) | −2.78990 | − | 17.6147i | −0.150640 | − | 0.951106i | ||||
\(344\) | 1.54700 | + | 0.502652i | 0.0834089 | + | 0.0271012i | ||||
\(345\) | 14.0919 | − | 7.02822i | 0.758681 | − | 0.378387i | ||||
\(346\) | 1.76651 | − | 1.28344i | 0.0949679 | − | 0.0689982i | ||||
\(347\) | 1.32668 | − | 8.37634i | 0.0712200 | − | 0.449665i | −0.926148 | − | 0.377160i | \(-0.876901\pi\) |
0.997368 | − | 0.0725052i | \(-0.0230994\pi\) | |||||||
\(348\) | 0.576811 | − | 1.13205i | 0.0309203 | − | 0.0606845i | ||||
\(349\) | −10.7385 | + | 33.0498i | −0.574820 | + | 1.76911i | 0.0619732 | + | 0.998078i | \(0.480261\pi\) |
−0.636793 | + | 0.771035i | \(0.719739\pi\) | |||||||
\(350\) | −2.83871 | + | 8.25112i | −0.151735 | + | 0.441041i | ||||
\(351\) | − | 5.15719i | − | 0.275270i | ||||||
\(352\) | −11.0144 | − | 5.71653i | −0.587071 | − | 0.304692i | ||||
\(353\) | 1.39846 | − | 1.39846i | 0.0744324 | − | 0.0744324i | −0.668911 | − | 0.743343i | \(-0.733239\pi\) |
0.743343 | + | 0.668911i | \(0.233239\pi\) | |||||||
\(354\) | −1.37680 | − | 1.00030i | −0.0731760 | − | 0.0531655i | ||||
\(355\) | −0.627127 | + | 3.75053i | −0.0332844 | + | 0.199058i | ||||
\(356\) | 2.39123 | + | 7.35945i | 0.126735 | + | 0.390050i | ||||
\(357\) | 7.29521 | + | 1.15545i | 0.386103 | + | 0.0611527i | ||||
\(358\) | −9.00364 | − | 1.42604i | −0.475857 | − | 0.0753684i | ||||
\(359\) | −1.56703 | − | 4.82281i | −0.0827045 | − | 0.254538i | 0.901150 | − | 0.433507i | \(-0.142724\pi\) |
−0.983855 | + | 0.178969i | \(0.942724\pi\) | |||||||
\(360\) | 3.99821 | + | 5.60375i | 0.210724 | + | 0.295344i | ||||
\(361\) | −7.73601 | − | 5.62054i | −0.407158 | − | 0.295818i | ||||
\(362\) | 8.74057 | − | 8.74057i | 0.459394 | − | 0.459394i | ||||
\(363\) | −9.72511 | − | 5.14026i | −0.510436 | − | 0.269794i | ||||
\(364\) | − | 5.50523i | − | 0.288552i | ||||||
\(365\) | −2.10004 | − | 6.65749i | −0.109921 | − | 0.348469i | ||||
\(366\) | 1.24126 | − | 3.82021i | 0.0648818 | − | 0.199686i | ||||
\(367\) | −14.9050 | + | 29.2526i | −0.778033 | + | 1.52697i | 0.0703089 | + | 0.997525i | \(0.477602\pi\) |
−0.848341 | + | 0.529450i | \(0.822398\pi\) | |||||||
\(368\) | −2.33212 | + | 14.7244i | −0.121570 | + | 0.767564i | ||||
\(369\) | 8.59638 | − | 6.24564i | 0.447510 | − | 0.325135i | ||||
\(370\) | 10.5730 | + | 21.1992i | 0.549662 | + | 1.10209i | ||||
\(371\) | −16.3048 | − | 5.29777i | −0.846505 | − | 0.275046i | ||||
\(372\) | 0.280689 | + | 1.77220i | 0.0145530 | + | 0.0918842i | ||||
\(373\) | −21.3362 | − | 21.3362i | −1.10475 | − | 1.10475i | −0.993830 | − | 0.110918i | \(-0.964621\pi\) |
−0.110918 | − | 0.993830i | \(-0.535379\pi\) | |||||||
\(374\) | −17.4241 | + | 5.51739i | −0.900979 | + | 0.285297i | ||||
\(375\) | 3.72800 | − | 10.5405i | 0.192513 | − | 0.544309i | ||||
\(376\) | −2.80013 | + | 3.85405i | −0.144406 | + | 0.198757i | ||||
\(377\) | −8.36454 | + | 4.26195i | −0.430796 | + | 0.219501i | ||||
\(378\) | 1.55494 | + | 0.792284i | 0.0799777 | + | 0.0407507i | ||||
\(379\) | 17.2174 | + | 23.6978i | 0.884400 | + | 1.21727i | 0.975183 | + | 0.221401i | \(0.0710631\pi\) |
−0.0907827 | + | 0.995871i | \(0.528937\pi\) | |||||||
\(380\) | −5.84707 | − | 5.94849i | −0.299948 | − | 0.305151i | ||||
\(381\) | −0.915376 | + | 0.297424i | −0.0468961 | + | 0.0152375i | ||||
\(382\) | −7.89843 | − | 15.5015i | −0.404119 | − | 0.793128i | ||||
\(383\) | −21.9012 | + | 3.46880i | −1.11910 | + | 0.177248i | −0.688458 | − | 0.725276i | \(-0.741712\pi\) |
−0.430639 | + | 0.902524i | \(0.641712\pi\) | |||||||
\(384\) | −2.21947 | −0.113262 | ||||||||
\(385\) | 6.51837 | + | 9.28230i | 0.332207 | + | 0.473070i | ||||
\(386\) | −13.6563 | −0.695088 | ||||||||
\(387\) | −0.521864 | + | 0.0826552i | −0.0265278 | + | 0.00420160i | ||||
\(388\) | −5.78911 | − | 11.3618i | −0.293898 | − | 0.576807i | ||||
\(389\) | 3.18340 | − | 1.03435i | 0.161405 | − | 0.0524437i | −0.227200 | − | 0.973848i | \(-0.572957\pi\) |
0.388605 | + | 0.921404i | \(0.372957\pi\) | |||||||
\(390\) | 0.113132 | − | 13.1581i | 0.00572868 | − | 0.666285i | ||||
\(391\) | −19.9909 | − | 27.5151i | −1.01098 | − | 1.39150i | ||||
\(392\) | −12.7849 | − | 6.51425i | −0.645737 | − | 0.329019i | ||||
\(393\) | 6.15975 | − | 3.13855i | 0.310718 | − | 0.158319i | ||||
\(394\) | 10.5440 | − | 14.5125i | 0.531197 | − | 0.731131i | ||||
\(395\) | 4.67865 | − | 0.699846i | 0.235408 | − | 0.0352131i | ||||
\(396\) | 2.31485 | + | 0.0173517i | 0.116325 | + | 0.000871954i | ||||
\(397\) | −13.1144 | − | 13.1144i | −0.658193 | − | 0.658193i | 0.296759 | − | 0.954952i | \(-0.404094\pi\) |
−0.954952 | + | 0.296759i | \(0.904094\pi\) | |||||||
\(398\) | −3.84521 | − | 24.2777i | −0.192743 | − | 1.21693i | ||||
\(399\) | −7.77368 | − | 2.52582i | −0.389171 | − | 0.126449i | ||||
\(400\) | 6.07322 | + | 8.66871i | 0.303661 | + | 0.433435i | ||||
\(401\) | 11.5293 | − | 8.37654i | 0.575747 | − | 0.418305i | −0.261441 | − | 0.965219i | \(-0.584198\pi\) |
0.837188 | + | 0.546915i | \(0.184198\pi\) | |||||||
\(402\) | 0.0408123 | − | 0.257678i | 0.00203553 | − | 0.0128518i | ||||
\(403\) | 6.01886 | − | 11.8127i | 0.299821 | − | 0.588431i | ||||
\(404\) | 0.553361 | − | 1.70307i | 0.0275307 | − | 0.0847309i | ||||
\(405\) | −1.98355 | − | 1.03225i | −0.0985634 | − | 0.0512927i | ||||
\(406\) | − | 3.17675i | − | 0.157659i | ||||||
\(407\) | 30.3773 | + | 5.04499i | 1.50575 | + | 0.250071i | ||||
\(408\) | 10.5130 | − | 10.5130i | 0.520471 | − | 0.520471i | ||||
\(409\) | 23.5669 | + | 17.1224i | 1.16531 | + | 0.846646i | 0.990440 | − | 0.137946i | \(-0.0440500\pi\) |
0.174869 | + | 0.984592i | \(0.444050\pi\) | |||||||
\(410\) | 22.0698 | − | 15.7466i | 1.08995 | − | 0.777667i | ||||
\(411\) | 0.219255 | + | 0.674798i | 0.0108151 | + | 0.0332853i | ||||
\(412\) | 2.94935 | + | 0.467132i | 0.145304 | + | 0.0230139i | ||||
\(413\) | 2.25293 | + | 0.356828i | 0.110859 | + | 0.0175584i | ||||
\(414\) | −2.48321 | − | 7.64253i | −0.122043 | − | 0.375610i | ||||
\(415\) | 12.8739 | − | 9.18535i | 0.631953 | − | 0.450891i | ||||
\(416\) | −15.6110 | − | 11.3420i | −0.765390 | − | 0.556088i | ||||
\(417\) | 7.40919 | − | 7.40919i | 0.362830 | − | 0.362830i | ||||
\(418\) | 19.9998 | − | 3.01416i | 0.978222 | − | 0.147428i | ||||
\(419\) | 24.0358i | 1.17423i | 0.809505 | + | 0.587113i | \(0.199735\pi\) | ||||
−0.809505 | + | 0.587113i | \(0.800265\pi\) | |||||||
\(420\) | −2.11741 | − | 1.10191i | −0.103319 | − | 0.0537676i | ||||
\(421\) | 5.17693 | − | 15.9330i | 0.252308 | − | 0.776525i | −0.742040 | − | 0.670356i | \(-0.766142\pi\) |
0.994348 | − | 0.106169i | \(-0.0338584\pi\) | |||||||
\(422\) | 3.64117 | − | 7.14620i | 0.177249 | − | 0.347871i | ||||
\(423\) | 0.242072 | − | 1.52838i | 0.0117699 | − | 0.0743124i | ||||
\(424\) | −27.9185 | + | 20.2840i | −1.35584 | + | 0.985076i | ||||
\(425\) | −23.7813 | − | 4.18696i | −1.15356 | − | 0.203097i | ||||
\(426\) | 1.84549 | + | 0.599637i | 0.0894144 | + | 0.0290525i | ||||
\(427\) | 0.842224 | + | 5.31759i | 0.0407581 | + | 0.257336i | ||||
\(428\) | 4.98341 | + | 4.98341i | 0.240882 | + | 0.240882i | ||||
\(429\) | −13.7621 | − | 10.1572i | −0.664438 | − | 0.490394i | ||||
\(430\) | −1.33330 | + | 0.199439i | −0.0642974 | + | 0.00961778i | ||||
\(431\) | −16.3046 | + | 22.4413i | −0.785363 | + | 1.08096i | 0.209307 | + | 0.977850i | \(0.432879\pi\) |
−0.994670 | + | 0.103110i | \(0.967121\pi\) | |||||||
\(432\) | 1.88616 | − | 0.961048i | 0.0907480 | − | 0.0462384i | ||||
\(433\) | 25.4978 | + | 12.9918i | 1.22534 | + | 0.624344i | 0.942302 | − | 0.334764i | \(-0.108656\pi\) |
0.283042 | + | 0.959108i | \(0.408656\pi\) | |||||||
\(434\) | 2.63698 | + | 3.62949i | 0.126579 | + | 0.174221i | ||||
\(435\) | −0.0349955 | + | 4.07021i | −0.00167790 | + | 0.195152i | ||||
\(436\) | 10.6140 | − | 3.44870i | 0.508319 | − | 0.165163i | ||||
\(437\) | 17.0869 | + | 33.5349i | 0.817377 | + | 1.60419i | ||||
\(438\) | −3.51847 | + | 0.557271i | −0.168119 | + | 0.0266274i | ||||
\(439\) | −25.4805 | −1.21612 | −0.608059 | − | 0.793892i | \(-0.708051\pi\) | ||||
−0.608059 | + | 0.793892i | \(0.708051\pi\) | |||||||
\(440\) | 22.8283 | + | 0.367416i | 1.08829 | + | 0.0175159i | ||||
\(441\) | 4.66090 | 0.221948 | ||||||||
\(442\) | −28.0696 | + | 4.44579i | −1.33514 | + | 0.211465i | ||||
\(443\) | 8.11633 | + | 15.9292i | 0.385619 | + | 0.756819i | 0.999468 | − | 0.0326037i | \(-0.0103799\pi\) |
−0.613850 | + | 0.789423i | \(0.710380\pi\) | |||||||
\(444\) | −6.16320 | + | 2.00254i | −0.292492 | + | 0.0950365i | ||||
\(445\) | −17.3782 | − | 17.6796i | −0.823804 | − | 0.838093i | ||||
\(446\) | 11.3679 | + | 15.6466i | 0.538288 | + | 0.740889i | ||||
\(447\) | 4.17185 | + | 2.12566i | 0.197322 | + | 0.100540i | ||||
\(448\) | 11.5874 | − | 5.90409i | 0.547455 | − | 0.278942i | ||||
\(449\) | 2.89649 | − | 3.98668i | 0.136694 | − | 0.188143i | −0.735182 | − | 0.677870i | \(-0.762903\pi\) |
0.871876 | + | 0.489726i | \(0.162903\pi\) | |||||||
\(450\) | −5.03819 | − | 2.67719i | −0.237503 | − | 0.126204i | ||||
\(451\) | 0.264156 | − | 35.2405i | 0.0124386 | − | 1.65941i | ||||
\(452\) | 3.52294 | + | 3.52294i | 0.165705 | + | 0.165705i | ||||
\(453\) | 2.82436 | + | 17.8323i | 0.132700 | + | 0.837835i | ||||
\(454\) | −14.9097 | − | 4.84446i | −0.699747 | − | 0.227362i | ||||
\(455\) | 7.87158 | + | 15.7828i | 0.369025 | + | 0.739911i | ||||
\(456\) | −13.3107 | + | 9.67080i | −0.623331 | + | 0.452877i | ||||
\(457\) | 0.560637 | − | 3.53972i | 0.0262255 | − | 0.165581i | −0.971100 | − | 0.238674i | \(-0.923287\pi\) |
0.997325 | + | 0.0730934i | \(0.0232871\pi\) | |||||||
\(458\) | −10.7215 | + | 21.0422i | −0.500984 | + | 0.983236i | ||||
\(459\) | −1.49237 | + | 4.59304i | −0.0696578 | + | 0.214385i | ||||
\(460\) | 3.30646 | + | 10.4820i | 0.154164 | + | 0.488728i | ||||
\(461\) | 6.46205i | 0.300968i | 0.988612 | + | 0.150484i | \(0.0480832\pi\) | ||||
−0.988612 | + | 0.150484i | \(0.951917\pi\) | |||||||
\(462\) | 5.17672 | − | 2.58898i | 0.240843 | − | 0.120450i | ||||
\(463\) | 8.69314 | − | 8.69314i | 0.404005 | − | 0.404005i | −0.475637 | − | 0.879642i | \(-0.657782\pi\) |
0.879642 | + | 0.475637i | \(0.157782\pi\) | |||||||
\(464\) | −3.11748 | − | 2.26498i | −0.144725 | − | 0.105149i | ||||
\(465\) | −3.33866 | − | 4.67935i | −0.154826 | − | 0.217000i | ||||
\(466\) | 5.88345 | + | 18.1074i | 0.272546 | + | 0.838809i | ||||
\(467\) | −30.7920 | − | 4.87697i | −1.42488 | − | 0.225679i | −0.604096 | − | 0.796912i | \(-0.706466\pi\) |
−0.820788 | + | 0.571232i | \(0.806466\pi\) | |||||||
\(468\) | 3.55526 | + | 0.563098i | 0.164342 | + | 0.0260292i | ||||
\(469\) | 0.108057 | + | 0.332566i | 0.00498963 | + | 0.0153565i | ||||
\(470\) | 0.651150 | − | 3.89420i | 0.0300353 | − | 0.179626i | ||||
\(471\) | 12.8924 | + | 9.36684i | 0.594048 | + | 0.431601i | ||||
\(472\) | 3.24665 | − | 3.24665i | 0.149439 | − | 0.149439i | ||||
\(473\) | −0.807255 | + | 1.55539i | −0.0371176 | + | 0.0715171i | ||||
\(474\) | − | 2.41407i | − | 0.110882i | ||||||
\(475\) | 25.2682 | + | 8.69326i | 1.15939 | + | 0.398874i | ||||
\(476\) | −1.59308 | + | 4.90300i | −0.0730188 | + | 0.224729i | ||||
\(477\) | 5.08901 | − | 9.98774i | 0.233010 | − | 0.457307i | ||||
\(478\) | 0.250152 | − | 1.57940i | 0.0114417 | − | 0.0722401i | ||||
\(479\) | −28.8664 | + | 20.9727i | −1.31894 | + | 0.958265i | −0.318994 | + | 0.947757i | \(0.603345\pi\) |
−0.999945 | + | 0.0105085i | \(0.996655\pi\) | |||||||
\(480\) | −7.48699 | + | 3.73408i | −0.341733 | + | 0.170437i | ||||
\(481\) | 45.5387 | + | 14.7964i | 2.07639 | + | 0.674659i | ||||
\(482\) | 0.212695 | + | 1.34291i | 0.00968801 | + | 0.0611677i | ||||
\(483\) | 7.61605 | + | 7.61605i | 0.346542 | + | 0.346542i | ||||
\(484\) | 4.60544 | − | 6.14304i | 0.209338 | − | 0.279229i | ||||
\(485\) | 32.8422 | + | 24.2954i | 1.49129 | + | 1.10320i | ||||
\(486\) | −0.670701 | + | 0.923140i | −0.0304236 | + | 0.0418745i | ||||
\(487\) | −13.1637 | + | 6.70725i | −0.596505 | + | 0.303934i | −0.726053 | − | 0.687639i | \(-0.758647\pi\) |
0.129548 | + | 0.991573i | \(0.458647\pi\) | |||||||
\(488\) | 9.65605 | + | 4.92000i | 0.437109 | + | 0.222718i | ||||
\(489\) | 2.72577 | + | 3.75170i | 0.123264 | + | 0.169658i | ||||
\(490\) | 11.8918 | + | 0.102245i | 0.537219 | + | 0.00461898i | ||||
\(491\) | −30.7738 | + | 9.99901i | −1.38880 | + | 0.451249i | −0.905553 | − | 0.424234i | \(-0.860543\pi\) |
−0.483249 | + | 0.875483i | \(0.660543\pi\) | |||||||
\(492\) | 3.36700 | + | 6.60811i | 0.151796 | + | 0.297917i | ||||
\(493\) | 8.68284 | − | 1.37523i | 0.391055 | − | 0.0619371i | ||||
\(494\) | 31.4499 | 1.41500 | ||||||||
\(495\) | −6.66121 | + | 3.26011i | −0.299399 | + | 0.146531i | ||||
\(496\) | 5.44192 | 0.244350 | ||||||||
\(497\) | −2.56886 | + | 0.406867i | −0.115229 | + | 0.0182505i | ||||
\(498\) | −3.66383 | − | 7.19066i | −0.164180 | − | 0.322221i | ||||
\(499\) | 22.6752 | − | 7.36761i | 1.01508 | − | 0.329819i | 0.246204 | − | 0.969218i | \(-0.420817\pi\) |
0.768875 | + | 0.639399i | \(0.220817\pi\) | |||||||
\(500\) | 6.85935 | + | 3.72089i | 0.306759 | + | 0.166403i | ||||
\(501\) | −3.77814 | − | 5.20017i | −0.168795 | − | 0.232326i | ||||
\(502\) | −28.5137 | − | 14.5285i | −1.27263 | − | 0.648438i | ||||
\(503\) | −12.8873 | + | 6.56640i | −0.574615 | + | 0.292781i | −0.717048 | − | 0.697023i | \(-0.754507\pi\) |
0.142433 | + | 0.989804i | \(0.454507\pi\) | |||||||
\(504\) | −2.76752 | + | 3.80916i | −0.123275 | + | 0.169674i | ||||
\(505\) | 0.848691 | + | 5.67372i | 0.0377662 | + | 0.252477i | ||||
\(506\) | −25.2849 | − | 8.42563i | −1.12405 | − | 0.374565i | ||||
\(507\) | −9.61424 | − | 9.61424i | −0.426984 | − | 0.426984i | ||||
\(508\) | −0.105091 | − | 0.663516i | −0.00466264 | − | 0.0294388i | ||||
\(509\) | 27.4102 | + | 8.90613i | 1.21494 | + | 0.394757i | 0.845236 | − | 0.534394i | \(-0.179460\pi\) |
0.369702 | + | 0.929151i | \(0.379460\pi\) | |||||||
\(510\) | −3.90839 | + | 11.6859i | −0.173066 | + | 0.517463i | ||||
\(511\) | 3.86283 | − | 2.80651i | 0.170881 | − | 0.124153i | ||||
\(512\) | 3.27801 | − | 20.6965i | 0.144869 | − | 0.914666i | ||||
\(513\) | 2.42629 | − | 4.76186i | 0.107123 | − | 0.210241i | ||||
\(514\) | −2.91483 | + | 8.97092i | −0.128568 | + | 0.395690i | ||||
\(515\) | −9.12337 | + | 2.87788i | −0.402024 | + | 0.126815i | ||||
\(516\) | − | 0.368787i | − | 0.0162350i | ||||||
\(517\) | −3.60175 | − | 3.65615i | −0.158405 | − | 0.160797i | ||||
\(518\) | −11.4573 | + | 11.4573i | −0.503403 | + | 0.503403i | ||||
\(519\) | −1.54812 | − | 1.12478i | −0.0679550 | − | 0.0493722i | ||||
\(520\) | 35.0153 | + | 5.85491i | 1.53552 | + | 0.256755i | ||||
\(521\) | 6.78813 | + | 20.8917i | 0.297394 | + | 0.915283i | 0.982407 | + | 0.186753i | \(0.0597963\pi\) |
−0.685013 | + | 0.728531i | \(0.740204\pi\) | |||||||
\(522\) | 2.05153 | + | 0.324931i | 0.0897931 | + | 0.0142218i | ||||
\(523\) | 8.47327 | + | 1.34203i | 0.370510 | + | 0.0586831i | 0.338913 | − | 0.940818i | \(-0.389941\pi\) |
0.0315970 | + | 0.999501i | \(0.489941\pi\) | |||||||
\(524\) | 1.49109 | + | 4.58909i | 0.0651384 | + | 0.200475i | ||||
\(525\) | 7.64592 | + | 0.131488i | 0.333695 | + | 0.00573862i | ||||
\(526\) | 15.1397 | + | 10.9996i | 0.660122 | + | 0.479607i | ||||
\(527\) | −8.77875 | + | 8.77875i | −0.382408 | + | 0.382408i | ||||
\(528\) | 1.15026 | − | 6.92606i | 0.0500587 | − | 0.301418i | ||||
\(529\) | − | 26.5954i | − | 1.15632i | ||||||
\(530\) | 13.2032 | − | 25.3711i | 0.573511 | − | 1.10205i | ||||
\(531\) | −0.460877 | + | 1.41843i | −0.0200004 | + | 0.0615548i | ||||
\(532\) | 2.59003 | − | 5.08323i | 0.112292 | − | 0.220386i | ||||
\(533\) | 8.57242 | − | 54.1241i | 0.371313 | − | 2.34438i | ||||
\(534\) | −10.2345 | + | 7.43582i | −0.442892 | + | 0.321780i | ||||
\(535\) | −21.4123 | − | 7.16139i | −0.925735 | − | 0.309614i | ||||
\(536\) | 0.669425 | + | 0.217509i | 0.0289148 | + | 0.00939498i | ||||
\(537\) | 1.24974 | + | 7.89057i | 0.0539304 | + | 0.340503i | ||||
\(538\) | 10.1749 | + | 10.1749i | 0.438670 | + | 0.438670i | ||||
\(539\) | 9.17975 | − | 12.4377i | 0.395400 | − | 0.535730i | ||||
\(540\) | 0.928187 | − | 1.25471i | 0.0399428 | − | 0.0539941i | ||||
\(541\) | −11.0577 | + | 15.2196i | −0.475406 | + | 0.654340i | −0.977614 | − | 0.210407i | \(-0.932521\pi\) |
0.502208 | + | 0.864747i | \(0.332521\pi\) | |||||||
\(542\) | −5.82122 | + | 2.96606i | −0.250043 | + | 0.127403i | ||||
\(543\) | −9.65219 | − | 4.91804i | −0.414215 | − | 0.211053i | ||||
\(544\) | 10.6211 | + | 14.6187i | 0.455378 | + | 0.626774i | ||||
\(545\) | −25.4980 | + | 25.0633i | −1.09222 | + | 1.07359i | ||||
\(546\) | 8.55960 | − | 2.78118i | 0.366317 | − | 0.119024i | ||||
\(547\) | −7.40894 | − | 14.5409i | −0.316783 | − | 0.621723i | 0.676628 | − | 0.736325i | \(-0.263441\pi\) |
−0.993411 | + | 0.114602i | \(0.963441\pi\) | |||||||
\(548\) | −0.489131 | + | 0.0774708i | −0.0208947 | + | 0.00330939i | ||||
\(549\) | −3.52023 | −0.150240 | ||||||||
\(550\) | −17.0669 | + | 8.17173i | −0.727737 | + | 0.348444i | ||||
\(551\) | −9.72846 | −0.414447 | ||||||||
\(552\) | 21.4135 | − | 3.39157i | 0.911420 | − | 0.144355i | ||||
\(553\) | 1.46897 | + | 2.88301i | 0.0624667 | + | 0.122598i | ||||
\(554\) | −19.1080 | + | 6.20858i | −0.811823 | + | 0.263777i | ||||
\(555\) | 14.8059 | − | 14.5534i | 0.628473 | − | 0.617758i | ||||
\(556\) | 4.29876 | + | 5.91673i | 0.182308 | + | 0.250925i | ||||
\(557\) | 34.9168 | + | 17.7910i | 1.47947 | + | 0.753828i | 0.992803 | − | 0.119758i | \(-0.0382120\pi\) |
0.486668 | + | 0.873587i | \(0.338212\pi\) | |||||||
\(558\) | −2.61364 | + | 1.33171i | −0.110644 | + | 0.0563760i | ||||
\(559\) | −1.60166 | + | 2.20449i | −0.0677428 | + | 0.0932400i | ||||
\(560\) | −4.30546 | + | 5.82006i | −0.181939 | + | 0.245942i | ||||
\(561\) | 9.31735 | + | 13.0285i | 0.393379 | + | 0.550063i | ||||
\(562\) | 10.8545 | + | 10.8545i | 0.457870 | + | 0.457870i | ||||
\(563\) | 3.95223 | + | 24.9534i | 0.166567 | + | 1.05166i | 0.919364 | + | 0.393408i | \(0.128704\pi\) |
−0.752797 | + | 0.658253i | \(0.771296\pi\) | |||||||
\(564\) | 1.02720 | + | 0.333758i | 0.0432530 | + | 0.0140538i | ||||
\(565\) | −15.1371 | − | 5.06263i | −0.636822 | − | 0.212986i | ||||
\(566\) | −11.4791 | + | 8.34004i | −0.482502 | + | 0.350558i | ||||
\(567\) | 0.239253 | − | 1.51058i | 0.0100477 | − | 0.0634384i | ||||
\(568\) | −2.37679 | + | 4.66471i | −0.0997277 | + | 0.195727i | ||||
\(569\) | 6.03151 | − | 18.5631i | 0.252854 | − | 0.778205i | −0.741391 | − | 0.671074i | \(-0.765833\pi\) |
0.994245 | − | 0.107131i | \(-0.0341666\pi\) | |||||||
\(570\) | 6.29490 | − | 12.0962i | 0.263665 | − | 0.506654i | ||||
\(571\) | − | 36.8794i | − | 1.54335i | −0.636015 | − | 0.771677i | \(-0.719418\pi\) | ||
0.636015 | − | 0.771677i | \(-0.280582\pi\) | |||||||
\(572\) | 8.50479 | − | 8.37824i | 0.355603 | − | 0.350312i | ||||
\(573\) | −10.7812 | + | 10.7812i | −0.450393 | + | 0.450393i | ||||
\(574\) | 15.0020 | + | 10.8996i | 0.626172 | + | 0.454941i | ||||
\(575\) | −24.4668 | − | 25.3231i | −1.02034 | − | 1.05605i | ||||
\(576\) | 2.62763 | + | 8.08702i | 0.109485 | + | 0.336959i | ||||
\(577\) | 10.0534 | + | 1.59230i | 0.418528 | + | 0.0662884i | 0.362147 | − | 0.932121i | \(-0.382044\pi\) |
0.0563813 | + | 0.998409i | \(0.482044\pi\) | |||||||
\(578\) | 7.12629 | + | 1.12869i | 0.296415 | + | 0.0469475i | ||||
\(579\) | 3.69833 | + | 11.3823i | 0.153697 | + | 0.473032i | ||||
\(580\) | −2.80210 | − | 0.468539i | −0.116351 | − | 0.0194550i | ||||
\(581\) | 8.75104 | + | 6.35800i | 0.363054 | + | 0.263774i | ||||
\(582\) | 14.7408 | − | 14.7408i | 0.611027 | − | 0.611027i | ||||
\(583\) | −16.6296 | − | 33.2512i | −0.688726 | − | 1.37712i | ||||
\(584\) | − | 9.61106i | − | 0.397708i | ||||||
\(585\) | −10.9976 | + | 3.46910i | −0.454697 | + | 0.143430i | ||||
\(586\) | 5.99916 | − | 18.4635i | 0.247823 | − | 0.762720i | ||||
\(587\) | 14.0705 | − | 27.6148i | 0.580750 | − | 1.13979i | −0.394544 | − | 0.918877i | \(-0.629097\pi\) |
0.975294 | − | 0.220910i | \(-0.0709026\pi\) | |||||||
\(588\) | −0.508910 | + | 3.21313i | −0.0209871 | + | 0.132507i | ||||
\(589\) | 11.1150 | − | 8.07549i | 0.457984 | − | 0.332745i | ||||
\(590\) | −1.20700 | + | 3.60889i | −0.0496914 | + | 0.148575i | ||||
\(591\) | −14.9514 | − | 4.85800i | −0.615018 | − | 0.199831i | ||||
\(592\) | 3.07462 | + | 19.4124i | 0.126366 | + | 0.797845i | ||||
\(593\) | 14.3239 | + | 14.3239i | 0.588212 | + | 0.588212i | 0.937147 | − | 0.348935i | \(-0.113457\pi\) |
−0.348935 | + | 0.937147i | \(0.613457\pi\) | |||||||
\(594\) | 1.14246 | + | 3.60792i | 0.0468756 | + | 0.148035i | ||||
\(595\) | −2.44331 | − | 16.3342i | −0.100166 | − | 0.669636i | ||||
\(596\) | −1.92090 | + | 2.64389i | −0.0786832 | + | 0.108298i | ||||
\(597\) | −19.1937 | + | 9.77967i | −0.785545 | + | 0.400255i | ||||
\(598\) | −36.9253 | − | 18.8144i | −1.50999 | − | 0.769378i | ||||
\(599\) | 5.02516 | + | 6.91653i | 0.205322 | + | 0.282602i | 0.899243 | − | 0.437450i | \(-0.144118\pi\) |
−0.693921 | + | 0.720052i | \(0.744118\pi\) | |||||||
\(600\) | 9.26045 | − | 12.2956i | 0.378056 | − | 0.501967i | ||||
\(601\) | −19.5570 | + | 6.35445i | −0.797746 | + | 0.259204i | −0.679399 | − | 0.733769i | \(-0.737760\pi\) |
−0.118347 | + | 0.992972i | \(0.537760\pi\) | |||||||
\(602\) | −0.418618 | − | 0.821585i | −0.0170616 | − | 0.0334853i | ||||
\(603\) | −0.225823 | + | 0.0357668i | −0.00919622 | + | 0.00145654i | ||||
\(604\) | −12.6016 | −0.512752 | ||||||||
\(605\) | −4.41973 | + | 24.1964i | −0.179687 | + | 0.983724i | ||||
\(606\) | 2.92751 | 0.118922 | ||||||||
\(607\) | −23.4385 | + | 3.71230i | −0.951341 | + | 0.150678i | −0.612768 | − | 0.790263i | \(-0.709944\pi\) |
−0.338572 | + | 0.940940i | \(0.609944\pi\) | |||||||
\(608\) | −9.07824 | − | 17.8171i | −0.368171 | − | 0.722577i | ||||
\(609\) | −2.64776 | + | 0.860309i | −0.107293 | + | 0.0348615i | ||||
\(610\) | −8.98153 | − | 0.0772227i | −0.363651 | − | 0.00312666i | ||||
\(611\) | −4.69076 | − | 6.45628i | −0.189768 | − | 0.261193i | ||||
\(612\) | −3.00340 | − | 1.53031i | −0.121405 | − | 0.0618590i | ||||
\(613\) | −14.0591 | + | 7.16345i | −0.567840 | + | 0.289329i | −0.714245 | − | 0.699896i | \(-0.753230\pi\) |
0.146405 | + | 0.989225i | \(0.453230\pi\) | |||||||
\(614\) | −3.24290 | + | 4.46347i | −0.130873 | + | 0.180131i | ||||
\(615\) | −19.1013 | − | 14.1304i | −0.770239 | − | 0.569793i | ||||
\(616\) | 4.71413 | + | 14.8874i | 0.189938 | + | 0.599830i | ||||
\(617\) | −3.71959 | − | 3.71959i | −0.149745 | − | 0.149745i | 0.628259 | − | 0.778004i | \(-0.283768\pi\) |
−0.778004 | + | 0.628259i | \(0.783768\pi\) | |||||||
\(618\) | 0.763679 | + | 4.82168i | 0.0307197 | + | 0.193956i | ||||
\(619\) | −3.25418 | − | 1.05735i | −0.130796 | − | 0.0424983i | 0.242887 | − | 0.970055i | \(-0.421905\pi\) |
−0.373684 | + | 0.927556i | \(0.621905\pi\) | |||||||
\(620\) | 3.59038 | − | 1.79068i | 0.144193 | − | 0.0719153i | ||||
\(621\) | −5.69742 | + | 4.13942i | −0.228630 | + | 0.166109i | ||||
\(622\) | 2.35900 | − | 14.8941i | 0.0945871 | − | 0.597199i | ||||
\(623\) | 7.69788 | − | 15.1079i | 0.308409 | − | 0.605287i | ||||
\(624\) | 3.37360 | − | 10.3829i | 0.135052 | − | 0.415647i | ||||
\(625\) | −24.9852 | − | 0.859604i | −0.999409 | − | 0.0343842i | ||||
\(626\) | − | 3.07927i | − | 0.123072i | ||||||
\(627\) | −7.92849 | − | 15.8532i | −0.316633 | − | 0.633115i | ||||
\(628\) | −7.86499 | + | 7.86499i | −0.313847 | + | 0.313847i | ||||
\(629\) | −36.2754 | − | 26.3556i | −1.44640 | − | 1.05087i | ||||
\(630\) | 0.643567 | − | 3.84885i | 0.0256403 | − | 0.153342i | ||||
\(631\) | −7.93923 | − | 24.4344i | −0.316056 | − | 0.972720i | −0.975318 | − | 0.220806i | \(-0.929131\pi\) |
0.659262 | − | 0.751913i | \(-0.270869\pi\) | |||||||
\(632\) | 6.43292 | + | 1.01887i | 0.255888 | + | 0.0405287i | ||||
\(633\) | −6.94231 | − | 1.09955i | −0.275932 | − | 0.0437033i | ||||
\(634\) | 1.46800 | + | 4.51803i | 0.0583016 | + | 0.179434i | ||||
\(635\) | 1.25000 | + | 1.75196i | 0.0496048 | + | 0.0695244i | ||||
\(636\) | 6.32969 | + | 4.59879i | 0.250988 | + | 0.182354i | ||||
\(637\) | 16.9968 | − | 16.9968i | 0.673439 | − | 0.673439i | ||||
\(638\) | 4.90762 | − | 4.83459i | 0.194294 | − | 0.191403i | ||||
\(639\) | − | 1.70057i | − | 0.0672737i | ||||||
\(640\) | 1.49298 | + | 4.73299i | 0.0590152 | + | 0.187088i | ||||
\(641\) | 13.0377 | − | 40.1258i | 0.514956 | − | 1.58487i | −0.268405 | − | 0.963306i | \(-0.586497\pi\) |
0.783362 | − | 0.621566i | \(-0.213503\pi\) | |||||||
\(642\) | −5.23070 | + | 10.2658i | −0.206439 | + | 0.405160i | ||||
\(643\) | −4.86082 | + | 30.6900i | −0.191692 | + | 1.21030i | 0.684746 | + | 0.728782i | \(0.259913\pi\) |
−0.876438 | + | 0.481514i | \(0.840087\pi\) | |||||||
\(644\) | −6.08192 | + | 4.41877i | −0.239661 | + | 0.174124i | ||||
\(645\) | 0.527305 | + | 1.05727i | 0.0207626 | + | 0.0416300i | ||||
\(646\) | −28.0095 | − | 9.10085i | −1.10202 | − | 0.358068i | ||||
\(647\) | −2.25497 | − | 14.2373i | −0.0886521 | − | 0.559727i | −0.991535 | − | 0.129840i | \(-0.958553\pi\) |
0.902883 | − | 0.429887i | \(-0.141447\pi\) | |||||||
\(648\) | −2.17687 | − | 2.17687i | −0.0855156 | − | 0.0855156i | ||||
\(649\) | 2.87741 | + | 4.02349i | 0.112948 | + | 0.157936i | ||||
\(650\) | −28.1355 | + | 8.60983i | −1.10357 | + | 0.337705i | ||||
\(651\) | 2.31098 | − | 3.18080i | 0.0905746 | − | 0.124665i | ||||
\(652\) | −2.88396 | + | 1.46945i | −0.112945 | + | 0.0575482i | ||||
\(653\) | 14.6435 | + | 7.46123i | 0.573044 | + | 0.291980i | 0.716399 | − | 0.697691i | \(-0.245789\pi\) |
−0.143355 | + | 0.989671i | \(0.545789\pi\) | |||||||
\(654\) | 10.7242 | + | 14.7606i | 0.419348 | + | 0.577183i | ||||
\(655\) | −10.8364 | − | 11.0244i | −0.423414 | − | 0.430758i | ||||
\(656\) | 21.3925 | − | 6.95086i | 0.835239 | − | 0.271385i | ||||
\(657\) | 1.41733 | + | 2.78166i | 0.0552952 | + | 0.108523i | ||||
\(658\) | 2.66726 | − | 0.422453i | 0.103981 | − | 0.0164689i | ||||
\(659\) | −27.5121 | −1.07172 | −0.535860 | − | 0.844307i | \(-0.680012\pi\) | ||||
−0.535860 | + | 0.844307i | \(0.680012\pi\) | |||||||
\(660\) | −1.52013 | − | 4.94806i | −0.0591712 | − | 0.192603i | ||||
\(661\) | 47.5374 | 1.84899 | 0.924496 | − | 0.381193i | \(-0.124487\pi\) | ||||
0.924496 | + | 0.381193i | \(0.124487\pi\) | |||||||
\(662\) | 38.7154 | − | 6.13192i | 1.50472 | − | 0.238324i | ||||
\(663\) | 11.3072 | + | 22.1915i | 0.439134 | + | 0.861848i | ||||
\(664\) | 20.7077 | − | 6.72834i | 0.803615 | − | 0.261110i | ||||
\(665\) | −0.157139 | + | 18.2763i | −0.00609359 | + | 0.708726i | ||||
\(666\) | −6.22716 | − | 8.57095i | −0.241298 | − | 0.332118i | ||||
\(667\) | 11.4222 | + | 5.81990i | 0.442269 | + | 0.225347i | ||||
\(668\) | 3.99741 | − | 2.03678i | 0.154665 | − | 0.0788055i | ||||
\(669\) | 9.96258 | − | 13.7123i | 0.385176 | − | 0.530149i | ||||
\(670\) | −0.576950 | + | 0.0863018i | −0.0222895 | + | 0.00333413i | ||||
\(671\) | −6.93317 | + | 9.39380i | −0.267652 | + | 0.362644i | ||||
\(672\) | −4.04639 | − | 4.04639i | −0.156093 | − | 0.156093i | ||||
\(673\) | −5.79174 | − | 36.5676i | −0.223255 | − | 1.40958i | −0.803582 | − | 0.595194i | \(-0.797075\pi\) |
0.580327 | − | 0.814384i | \(-0.302925\pi\) | |||||||
\(674\) | −12.0788 | − | 3.92464i | −0.465259 | − | 0.151172i | ||||
\(675\) | −0.866971 | + | 4.92426i | −0.0333697 | + | 0.189535i | ||||
\(676\) | 7.67761 | − | 5.57811i | 0.295293 | − | 0.214543i | ||||
\(677\) | 0.342773 | − | 2.16419i | 0.0131739 | − | 0.0831764i | −0.980225 | − | 0.197884i | \(-0.936593\pi\) |
0.993399 | + | 0.114708i | \(0.0365931\pi\) | |||||||
\(678\) | −3.69776 | + | 7.25726i | −0.142012 | + | 0.278713i | ||||
\(679\) | −8.63443 | + | 26.5740i | −0.331359 | + | 1.01982i | ||||
\(680\) | −29.4906 | − | 15.3470i | −1.13091 | − | 0.588532i | ||||
\(681\) | 13.7389i | 0.526477i | ||||||||
\(682\) | −1.59391 | + | 9.59737i | −0.0610339 | + | 0.367502i | ||||
\(683\) | −8.84087 | + | 8.84087i | −0.338286 | + | 0.338286i | −0.855722 | − | 0.517436i | \(-0.826887\pi\) |
0.517436 | + | 0.855722i | \(0.326887\pi\) | |||||||
\(684\) | 3.01781 | + | 2.19257i | 0.115389 | + | 0.0838349i | ||||
\(685\) | 1.29151 | − | 0.921478i | 0.0493461 | − | 0.0352078i | ||||
\(686\) | 6.28852 | + | 19.3541i | 0.240097 | + | 0.738942i | ||||
\(687\) | 20.4418 | + | 3.23767i | 0.779904 | + | 0.123525i | ||||
\(688\) | −1.10473 | − | 0.174972i | −0.0421174 | − | 0.00667074i | ||||
\(689\) | −17.8641 | − | 54.9801i | −0.680569 | − | 2.09458i | ||||
\(690\) | −14.6272 | + | 10.4363i | −0.556849 | + | 0.397305i | ||||
\(691\) | 10.3561 | + | 7.52417i | 0.393966 | + | 0.286233i | 0.767079 | − | 0.641553i | \(-0.221710\pi\) |
−0.373113 | + | 0.927786i | \(0.621710\pi\) | |||||||
\(692\) | 0.944432 | − | 0.944432i | 0.0359019 | − | 0.0359019i | ||||
\(693\) | −3.55980 | − | 3.61357i | −0.135226 | − | 0.137268i | ||||
\(694\) | 9.67708i | 0.367337i | ||||||||
\(695\) | −20.7840 | − | 10.8161i | −0.788382 | − | 0.410276i | ||||
\(696\) | −1.73172 | + | 5.32969i | −0.0656408 | + | 0.202021i | ||||
\(697\) | −23.2969 | + | 45.7228i | −0.882434 | + | 1.73187i | ||||
\(698\) | 6.20304 | − | 39.1644i | 0.234788 | − | 1.48240i | ||||
\(699\) | 13.4989 | − | 9.80750i | 0.510574 | − | 0.370954i | ||||
\(700\) | −0.925480 | + | 5.25658i | −0.0349799 | + | 0.198680i | ||||
\(701\) | −15.0984 | − | 4.90578i | −0.570260 | − | 0.185289i | 0.00967259 | − | 0.999953i | \(-0.496921\pi\) |
−0.579932 | + | 0.814665i | \(0.696921\pi\) | |||||||
\(702\) | 0.920567 | + | 5.81223i | 0.0347446 | + | 0.219369i | ||||
\(703\) | 35.0867 | + | 35.0867i | 1.32332 | + | 1.32332i | ||||
\(704\) | 26.7555 | + | 8.91567i | 1.00839 | + | 0.336022i | ||||
\(705\) | −3.42209 | + | 0.511886i | −0.128883 | + | 0.0192787i | ||||
\(706\) | −1.32646 | + | 1.82571i | −0.0499219 | + | 0.0687116i | ||||
\(707\) | −3.49617 | + | 1.78139i | −0.131487 | + | 0.0669960i | ||||
\(708\) | −0.927517 | − | 0.472594i | −0.0348582 | − | 0.0177612i | ||||
\(709\) | −9.51797 | − | 13.1004i | −0.357455 | − | 0.491995i | 0.591982 | − | 0.805951i | \(-0.298345\pi\) |
−0.949437 | + | 0.313956i | \(0.898345\pi\) | |||||||
\(710\) | 0.0373052 | − | 4.33885i | 0.00140004 | − | 0.162834i | ||||
\(711\) | −2.01209 | + | 0.653767i | −0.0754592 | + | 0.0245182i | ||||
\(712\) | −15.4951 | − | 30.4109i | −0.580704 | − | 1.13970i | ||||
\(713\) | −17.8811 | + | 2.83209i | −0.669653 | + | 0.106063i | ||||
\(714\) | −8.42806 | −0.315412 | ||||||||
\(715\) | −12.4027 | + | 36.1799i | −0.463836 | + | 1.35305i | ||||
\(716\) | −5.57605 | −0.208387 | ||||||||
\(717\) | −1.38415 | + | 0.219227i | −0.0516919 | + | 0.00818720i | ||||
\(718\) | 2.62694 | + | 5.15567i | 0.0980366 | + | 0.192408i | ||||
\(719\) | −11.5085 | + | 3.73935i | −0.429196 | + | 0.139454i | −0.515646 | − | 0.856802i | \(-0.672448\pi\) |
0.0864496 | + | 0.996256i | \(0.472448\pi\) | |||||||
\(720\) | −3.31819 | − | 3.37575i | −0.123662 | − | 0.125807i | ||||
\(721\) | −3.84602 | − | 5.29359i | −0.143233 | − | 0.197144i | ||||
\(722\) | 9.72188 | + | 4.95354i | 0.361811 | + | 0.184352i | ||||
\(723\) | 1.06169 | − | 0.540957i | 0.0394846 | − | 0.0201184i | ||||
\(724\) | 4.44429 | − | 6.11703i | 0.165171 | − | 0.227338i | ||||
\(725\) | 8.70323 | − | 2.66330i | 0.323230 | − | 0.0989124i | ||||
\(726\) | 11.8779 | + | 4.05721i | 0.440830 | + | 0.150577i | ||||
\(727\) | −7.08408 | − | 7.08408i | −0.262734 | − | 0.262734i | 0.563430 | − | 0.826164i | \(-0.309481\pi\) |
−0.826164 | + | 0.563430i | \(0.809481\pi\) | |||||||
\(728\) | 3.79854 | + | 23.9831i | 0.140783 | + | 0.888871i | ||||
\(729\) | 0.951057 | + | 0.309017i | 0.0352243 | + | 0.0114451i | ||||
\(730\) | 3.55515 | + | 7.12824i | 0.131582 | + | 0.263828i | ||||
\(731\) | 2.06438 | − | 1.49986i | 0.0763537 | − | 0.0554742i | ||||
\(732\) | 0.384363 | − | 2.42677i | 0.0142065 | − | 0.0896962i | ||||
\(733\) | −2.29530 | + | 4.50478i | −0.0847788 | + | 0.166388i | −0.929504 | − | 0.368813i | \(-0.879764\pi\) |
0.844725 | + | 0.535201i | \(0.179764\pi\) | |||||||
\(734\) | 11.5765 | − | 35.6287i | 0.427296 | − | 1.31508i | ||||
\(735\) | −3.13527 | − | 9.93933i | −0.115646 | − | 0.366618i | ||||
\(736\) | 26.3499i | 0.971271i | ||||||||
\(737\) | −0.349318 | + | 0.673056i | −0.0128673 | + | 0.0247923i | ||||
\(738\) | −8.57340 | + | 8.57340i | −0.315591 | + | 0.315591i | ||||
\(739\) | 15.2930 | + | 11.1110i | 0.562562 | + | 0.408725i | 0.832396 | − | 0.554182i | \(-0.186969\pi\) |
−0.269834 | + | 0.962907i | \(0.586969\pi\) | |||||||
\(740\) | 8.41622 | + | 11.7959i | 0.309387 | + | 0.433626i | ||||
\(741\) | −8.51709 | − | 26.2129i | −0.312883 | − | 0.962956i | ||||
\(742\) | 19.3215 | + | 3.06022i | 0.709314 | + | 0.112344i | ||||
\(743\) | 37.9157 | + | 6.00526i | 1.39099 | + | 0.220312i | 0.806570 | − | 0.591138i | \(-0.201321\pi\) |
0.584422 | + | 0.811450i | \(0.301321\pi\) | |||||||
\(744\) | −2.44559 | − | 7.52676i | −0.0896598 | − | 0.275944i | ||||
\(745\) | 1.72666 | − | 10.3263i | 0.0632600 | − | 0.378327i | ||||
\(746\) | 27.8548 | + | 20.2377i | 1.01984 | + | 0.740955i | ||||
\(747\) | −5.00107 | + | 5.00107i | −0.182980 | + | 0.182980i | ||||
\(748\) | −9.99891 | + | 5.00065i | −0.365596 | + | 0.182842i | ||||
\(749\) | − | 15.4428i | − | 0.564269i | ||||||
\(750\) | −2.32002 | + | 12.5448i | −0.0847150 | + | 0.458070i | ||||
\(751\) | −15.8889 | + | 48.9010i | −0.579794 | + | 1.78442i | 0.0394461 | + | 0.999222i | \(0.487441\pi\) |
−0.619240 | + | 0.785202i | \(0.712559\pi\) | |||||||
\(752\) | 1.48716 | − | 2.91871i | 0.0542310 | − | 0.106434i | ||||
\(753\) | −4.38728 | + | 27.7002i | −0.159881 | + | 1.00945i | ||||
\(754\) | 8.66621 | − | 6.29637i | 0.315605 | − | 0.229300i | ||||
\(755\) | 36.1273 | − | 18.0182i | 1.31481 | − | 0.655751i | ||||
\(756\) | 1.01524 | + | 0.329871i | 0.0369239 | + | 0.0119973i | ||||
\(757\) | −1.81438 | − | 11.4556i | −0.0659449 | − | 0.416360i | −0.998472 | − | 0.0552598i | \(-0.982401\pi\) |
0.932527 | − | 0.361100i | \(-0.117599\pi\) | |||||||
\(758\) | −23.6344 | − | 23.6344i | −0.858440 | − | 0.858440i | ||||
\(759\) | −0.175075 | + | 23.3563i | −0.00635481 | + | 0.847781i | ||||
\(760\) | 29.5766 | + | 21.8797i | 1.07286 | + | 0.793659i | ||||
\(761\) | 14.5038 | − | 19.9627i | 0.525761 | − | 0.723648i | −0.460716 | − | 0.887548i | \(-0.652407\pi\) |
0.986477 | + | 0.163900i | \(0.0524073\pi\) | |||||||
\(762\) | 0.978553 | − | 0.498597i | 0.0354492 | − | 0.0180623i | ||||
\(763\) | −21.7891 | − | 11.1021i | −0.788819 | − | 0.401924i | ||||
\(764\) | −6.25520 | − | 8.60954i | −0.226305 | − | 0.311482i | ||||
\(765\) | 10.7985 | + | 0.0928448i | 0.390420 | + | 0.00335681i | ||||
\(766\) | 24.0638 | − | 7.81879i | 0.869459 | − | 0.282504i | ||||
\(767\) | 3.49191 | + | 6.85325i | 0.126085 | + | 0.247457i | ||||
\(768\) | −14.2956 | + | 2.26421i | −0.515850 | + | 0.0817026i | ||||
\(769\) | −1.44960 | −0.0522737 | −0.0261369 | − | 0.999658i | \(-0.508321\pi\) | ||||
−0.0261369 | + | 0.999658i | \(0.508321\pi\) | |||||||
\(770\) | −9.00321 | − | 9.29776i | −0.324453 | − | 0.335068i | ||||
\(771\) | 8.26648 | 0.297710 | ||||||||
\(772\) | −8.25052 | + | 1.30675i | −0.296943 | + | 0.0470311i | ||||
\(773\) | 8.49326 | + | 16.6690i | 0.305481 | + | 0.599541i | 0.991806 | − | 0.127754i | \(-0.0407770\pi\) |
−0.686324 | + | 0.727296i | \(0.740777\pi\) | |||||||
\(774\) | 0.573395 | − | 0.186307i | 0.0206103 | − | 0.00669668i | ||||
\(775\) | −7.73283 | + | 10.2673i | −0.277772 | + | 0.368813i | ||||
\(776\) | 33.0593 | + | 45.5022i | 1.18676 | + | 1.63343i | ||||
\(777\) | 12.6522 | + | 6.44662i | 0.453895 | + | 0.231271i | ||||
\(778\) | −3.40311 | + | 1.73397i | −0.122008 | + | 0.0621660i | ||||
\(779\) | 33.3790 | − | 45.9422i | 1.19593 | − | 1.64605i | ||||
\(780\) | −1.19073 | − | 7.96033i | −0.0426349 | − | 0.285026i | ||||
\(781\) | −4.53801 | − | 3.34932i | −0.162383 | − | 0.119848i | ||||
\(782\) | 27.4416 | + | 27.4416i | 0.981309 | + | 0.981309i | ||||
\(783\) | −0.284761 | − | 1.79791i | −0.0101765 | − | 0.0642521i | ||||
\(784\) | 9.38371 | + | 3.04895i | 0.335133 | + | 0.108891i | ||||
\(785\) | 11.3023 | − | 33.7936i | 0.403398 | − | 1.20615i | ||||
\(786\) | −6.38190 | + | 4.63672i | −0.227635 | + | 0.165386i | ||||
\(787\) | −7.49622 | + | 47.3293i | −0.267211 | + | 1.68711i | 0.380151 | + | 0.924925i | \(0.375872\pi\) |
−0.647362 | + | 0.762182i | \(0.724128\pi\) | |||||||
\(788\) | 4.98150 | − | 9.77675i | 0.177459 | − | 0.348282i | ||||
\(789\) | 5.06794 | − | 15.5975i | 0.180424 | − | 0.555287i | ||||
\(790\) | −5.14799 | + | 1.62388i | −0.183157 | + | 0.0577752i | ||||
\(791\) | − | 10.9171i | − | 0.388166i | ||||||
\(792\) | −10.0964 | + | 1.52163i | −0.358760 | + | 0.0540687i | ||||
\(793\) | −12.8372 | + | 12.8372i | −0.455861 | + | 0.455861i | ||||
\(794\) | 17.1211 | + | 12.4392i | 0.607604 | + | 0.441450i | ||||
\(795\) | −24.7220 | − | 4.13377i | −0.876799 | − | 0.146610i | ||||
\(796\) | −4.64620 | − | 14.2995i | −0.164680 | − | 0.506834i | ||||
\(797\) | −6.39340 | − | 1.01261i | −0.226466 | − | 0.0358686i | 0.0421702 | − | 0.999110i | \(-0.486573\pi\) |
−0.268636 | + | 0.963242i | \(0.586573\pi\) | |||||||
\(798\) | 9.21192 | + | 1.45902i | 0.326098 | + | 0.0516489i | ||||
\(799\) | 2.30934 | + | 7.10741i | 0.0816985 | + | 0.251442i | ||||
\(800\) | 12.9992 | + | 13.4541i | 0.459591 | + | 0.475674i | ||||
\(801\) | 8.96929 | + | 6.51657i | 0.316914 | + | 0.230252i | ||||
\(802\) | −11.4985 | + | 11.4985i | −0.406026 | + | 0.406026i | ||||
\(803\) | 10.2144 | + | 1.69638i | 0.360458 | + | 0.0598639i | ||||
\(804\) | − | 0.159583i | − | 0.00562806i | ||||||
\(805\) | 11.1180 | − | 21.3643i | 0.391859 | − | 0.752991i | ||||
\(806\) | −4.67476 | + | 14.3874i | −0.164662 | + | 0.506776i | ||||
\(807\) | 5.72507 | − | 11.2361i | 0.201532 | − | 0.395529i | ||||
\(808\) | −1.23557 | + | 7.80109i | −0.0434673 | + | 0.274442i | ||||
\(809\) | −6.35210 | + | 4.61507i | −0.223328 | + | 0.162257i | −0.693823 | − | 0.720145i | \(-0.744075\pi\) |
0.470496 | + | 0.882402i | \(0.344075\pi\) | |||||||
\(810\) | 2.41975 | + | 0.809290i | 0.0850213 | + | 0.0284356i | ||||
\(811\) | 10.7006 | + | 3.47684i | 0.375749 | + | 0.122088i | 0.490802 | − | 0.871271i | \(-0.336704\pi\) |
−0.115053 | + | 0.993359i | \(0.536704\pi\) | |||||||
\(812\) | −0.303979 | − | 1.91925i | −0.0106676 | − | 0.0673523i | ||||
\(813\) | 4.04863 | + | 4.04863i | 0.141992 | + | 0.141992i | ||||
\(814\) | −35.1363 | − | 0.263375i | −1.23153 | − | 0.00923129i | ||||
\(815\) | 6.16691 | − | 8.33634i | 0.216017 | − | 0.292009i | ||||
\(816\) | −6.00911 | + | 8.27084i | −0.210361 | + | 0.289537i | ||||
\(817\) | −2.51602 | + | 1.28198i | −0.0880245 | + | 0.0448507i | ||||
\(818\) | −29.6166 | − | 15.0904i | −1.03552 | − | 0.527625i | ||||
\(819\) | −4.63613 | − | 6.38109i | −0.162000 | − | 0.222973i | ||||
\(820\) | 11.8268 | − | 11.6252i | 0.413011 | − | 0.405969i | ||||
\(821\) | −0.129033 | + | 0.0419254i | −0.00450329 | + | 0.00146321i | −0.311268 | − | 0.950322i | \(-0.600754\pi\) |
0.306764 | + | 0.951785i | \(0.400754\pi\) | |||||||
\(822\) | −0.367557 | − | 0.721370i | −0.0128200 | − | 0.0251607i | ||||
\(823\) | 12.4117 | − | 1.96582i | 0.432646 | − | 0.0685243i | 0.0636865 | − | 0.997970i | \(-0.479714\pi\) |
0.368959 | + | 0.929446i | \(0.379714\pi\) | |||||||
\(824\) | −13.1709 | −0.458831 | ||||||||
\(825\) | 11.4330 | + | 12.0120i | 0.398045 | + | 0.418203i | ||||
\(826\) | −2.60278 | −0.0905622 | ||||||||
\(827\) | −41.4149 | + | 6.55948i | −1.44014 | + | 0.228096i | −0.827143 | − | 0.561991i | \(-0.810036\pi\) |
−0.612995 | + | 0.790086i | \(0.710036\pi\) | |||||||
\(828\) | −2.23155 | − | 4.37965i | −0.0775516 | − | 0.152203i | ||||
\(829\) | 0.734919 | − | 0.238790i | 0.0255248 | − | 0.00829351i | −0.296227 | − | 0.955118i | \(-0.595728\pi\) |
0.321752 | + | 0.946824i | \(0.395728\pi\) | |||||||
\(830\) | −12.8695 | + | 12.6500i | −0.446705 | + | 0.439089i | ||||
\(831\) | 10.3495 | + | 14.2448i | 0.359019 | + | 0.494148i | ||||
\(832\) | 39.0730 | + | 19.9087i | 1.35461 | + | 0.690209i | ||||
\(833\) | −20.0560 | + | 10.2190i | −0.694900 | + | 0.354069i | ||||
\(834\) | −7.02772 | + | 9.67283i | −0.243350 | + | 0.334943i | ||||
\(835\) | −8.54784 | + | 11.5549i | −0.295810 | + | 0.399873i | ||||
\(836\) | 11.7945 | − | 3.73478i | 0.407923 | − | 0.129170i | ||||
\(837\) | 1.81777 | + | 1.81777i | 0.0628314 | + | 0.0628314i | ||||
\(838\) | −4.29043 | − | 27.0887i | −0.148210 | − | 0.935764i | ||||
\(839\) | 30.3509 | + | 9.86162i | 1.04783 | + | 0.340461i | 0.781817 | − | 0.623508i | \(-0.214293\pi\) |
0.266014 | + | 0.963969i | \(0.414293\pi\) | |||||||
\(840\) | 9.98463 | + | 3.33938i | 0.344502 | + | 0.115220i | ||||
\(841\) | 20.7808 | − | 15.0981i | 0.716578 | − | 0.520624i | ||||
\(842\) | −2.99042 | + | 18.8808i | −0.103057 | + | 0.650675i | ||||
\(843\) | 6.10748 | − | 11.9866i | 0.210353 | − | 0.412840i | ||||
\(844\) | 1.51602 | − | 4.66583i | 0.0521835 | − | 0.160604i | ||||
\(845\) | −14.0350 | + | 26.9695i | −0.482819 | + | 0.927780i | ||||
\(846\) | 1.76572i | 0.0607067i | ||||||||
\(847\) | −16.6540 | + | 2.38239i | −0.572237 | + | 0.0818599i | ||||
\(848\) | 16.7791 | − | 16.7791i | 0.576198 | − | 0.576198i | ||||
\(849\) | 10.0600 | + | 7.30900i | 0.345258 | + | 0.250844i | ||||
\(850\) | 27.5492 | + | 0.473769i | 0.944931 | + | 0.0162501i | ||||
\(851\) | −20.2053 | − | 62.1854i | −0.692627 | − | 2.13169i | ||||
\(852\) | 1.17234 | + | 0.185681i | 0.0401637 | + | 0.00636131i | ||||
\(853\) | 21.3940 | + | 3.38848i | 0.732517 | + | 0.116019i | 0.511540 | − | 0.859260i | \(-0.329075\pi\) |
0.220977 | + | 0.975279i | \(0.429075\pi\) | |||||||
\(854\) | −1.89840 | − | 5.84267i | −0.0649619 | − | 0.199932i | ||||
\(855\) | −11.7867 | − | 1.97086i | −0.403097 | − | 0.0674020i | ||||
\(856\) | −25.1483 | − | 18.2713i | −0.859551 | − | 0.624500i | ||||
\(857\) | −20.0724 | + | 20.0724i | −0.685660 | + | 0.685660i | −0.961270 | − | 0.275610i | \(-0.911120\pi\) |
0.275610 | + | 0.961270i | \(0.411120\pi\) | |||||||
\(858\) | 17.3231 | + | 8.99076i | 0.591402 | + | 0.306940i | ||||
\(859\) | − | 42.2029i | − | 1.43994i | −0.694003 | − | 0.719972i | \(-0.744154\pi\) | ||
0.694003 | − | 0.719972i | \(-0.255846\pi\) | |||||||
\(860\) | −0.786435 | + | 0.248073i | −0.0268172 | + | 0.00845923i | ||||
\(861\) | 5.02186 | − | 15.4557i | 0.171144 | − | 0.526729i | ||||
\(862\) | 14.3697 | − | 28.2021i | 0.489434 | − | 0.960568i | ||||
\(863\) | 0.682739 | − | 4.31065i | 0.0232407 | − | 0.146736i | −0.973339 | − | 0.229370i | \(-0.926333\pi\) |
0.996580 | + | 0.0826342i | \(0.0263333\pi\) | |||||||
\(864\) | 3.02703 | − | 2.19927i | 0.102982 | − | 0.0748205i | ||||
\(865\) | −1.35719 | + | 4.05796i | −0.0461459 | + | 0.137975i | ||||
\(866\) | −31.0554 | − | 10.0905i | −1.05531 | − | 0.342890i | ||||
\(867\) | −0.989159 | − | 6.24530i | −0.0335936 | − | 0.212102i | ||||
\(868\) | 1.94045 | + | 1.94045i | 0.0658630 | + | 0.0658630i | ||||
\(869\) | −2.21826 | + | 6.65690i | −0.0752493 | + | 0.225820i | ||||
\(870\) | −0.687100 | − | 4.59344i | −0.0232949 | − | 0.155732i | ||||
\(871\) | −0.693074 | + | 0.953935i | −0.0234839 | + | 0.0323229i | ||||
\(872\) | −43.8595 | + | 22.3475i | −1.48527 | + | 0.756782i | ||||
\(873\) | −16.2783 | − | 8.29419i | −0.550936 | − | 0.280716i | ||||
\(874\) | −25.2433 | − | 34.7444i | −0.853866 | − | 1.17525i | ||||
\(875\) | −4.86281 | − | 16.3933i | −0.164393 | − | 0.554194i | ||||
\(876\) | −2.07238 | + | 0.673355i | −0.0700191 | + | 0.0227506i | ||||
\(877\) | 20.6943 | + | 40.6149i | 0.698797 | + | 1.37147i | 0.918312 | + | 0.395858i | \(0.129553\pi\) |
−0.219514 | + | 0.975609i | \(0.570447\pi\) | |||||||
\(878\) | 28.7169 | − | 4.54831i | 0.969149 | − | 0.153498i | ||||
\(879\) | −17.0137 | −0.573856 | ||||||||
\(880\) | −15.5435 | + | 2.20606i | −0.523971 | + | 0.0743661i | ||||
\(881\) | −4.08780 | −0.137721 | −0.0688607 | − | 0.997626i | \(-0.521936\pi\) | ||||
−0.0688607 | + | 0.997626i | \(0.521936\pi\) | |||||||
\(882\) | −5.25291 | + | 0.831980i | −0.176875 | + | 0.0280142i | ||||
\(883\) | −0.179803 | − | 0.352882i | −0.00605084 | − | 0.0118754i | 0.887961 | − | 0.459918i | \(-0.152121\pi\) |
−0.894012 | + | 0.448043i | \(0.852121\pi\) | |||||||
\(884\) | −16.5330 | + | 5.37189i | −0.556064 | + | 0.180676i | ||||
\(885\) | 3.33481 | + | 0.0286726i | 0.112099 | + | 0.000963818i | ||||
\(886\) | −11.9906 | − | 16.5037i | −0.402833 | − | 0.554452i | ||||
\(887\) | 21.0632 | + | 10.7322i | 0.707233 | + | 0.360353i | 0.770322 | − | 0.637655i | \(-0.220095\pi\) |
−0.0630894 | + | 0.998008i | \(0.520095\pi\) | |||||||
\(888\) | 25.4677 | − | 12.9764i | 0.854640 | − | 0.435461i | ||||
\(889\) | −0.865239 | + | 1.19090i | −0.0290192 | + | 0.0399415i | ||||
\(890\) | 22.7413 | + | 16.8232i | 0.762291 | + | 0.563913i | ||||
\(891\) | 2.69774 | − | 1.92930i | 0.0903778 | − | 0.0646339i | ||||
\(892\) | 8.36520 | + | 8.36520i | 0.280088 | + | 0.280088i | ||||
\(893\) | −1.29372 | − | 8.16822i | −0.0432927 | − | 0.273339i | ||||
\(894\) | −5.08118 | − | 1.65097i | −0.169940 | − | 0.0552168i | ||||
\(895\) | 15.9859 | − | 7.97284i | 0.534349 | − | 0.266503i | ||||
\(896\) | −2.74619 | + | 1.99523i | −0.0917438 | + | 0.0666558i | ||||
\(897\) | −5.68154 | + | 35.8718i | −0.189701 | + | 1.19773i | ||||
\(898\) | −2.55277 | + | 5.01008i | −0.0851869 | + | 0.167189i | ||||
\(899\) | 1.44606 | − | 4.45050i | 0.0482286 | − | 0.148432i | ||||
\(900\) | −3.30002 | − | 1.13534i | −0.110001 | − | 0.0378446i | ||||
\(901\) | 54.1352i | 1.80351i | ||||||||
\(902\) | 5.99279 | + | 39.7638i | 0.199538 | + | 1.32399i | ||||
\(903\) | −0.571408 | + | 0.571408i | −0.0190153 | + | 0.0190153i | ||||
\(904\) | −17.7782 | − | 12.9166i | −0.591293 | − | 0.429600i | ||||
\(905\) | −3.99489 | + | 23.8914i | −0.132795 | + | 0.794178i | ||||
\(906\) | −6.36620 | − | 19.5931i | −0.211503 | − | 0.650938i | ||||
\(907\) | −20.5222 | − | 3.25040i | −0.681429 | − | 0.107928i | −0.193883 | − | 0.981025i | \(-0.562108\pi\) |
−0.487547 | + | 0.873097i | \(0.662108\pi\) | |||||||
\(908\) | −9.47133 | − | 1.50011i | −0.314317 | − | 0.0497829i | ||||
\(909\) | −0.792812 | − | 2.44003i | −0.0262959 | − | 0.0809305i | ||||
\(910\) | −11.6887 | − | 16.3824i | −0.387475 | − | 0.543072i | ||||
\(911\) | 31.2914 | + | 22.7346i | 1.03673 | + | 0.753229i | 0.969645 | − | 0.244518i | \(-0.0786297\pi\) |
0.0670864 | + | 0.997747i | \(0.478630\pi\) | |||||||
\(912\) | 7.99980 | − | 7.99980i | 0.264900 | − | 0.264900i | ||||
\(913\) | 3.49574 | + | 23.1952i | 0.115692 | + | 0.767648i | ||||
\(914\) | 4.08940i | 0.135265i | ||||||||
\(915\) | 2.36797 | + | 7.50685i | 0.0782825 | + | 0.248169i | ||||
\(916\) | −4.46396 | + | 13.7387i | −0.147493 | + | 0.453938i | ||||
\(917\) | 4.80013 | − | 9.42079i | 0.158514 | − | 0.311102i | ||||
\(918\) | 0.862057 | − | 5.44282i | 0.0284521 | − | 0.179640i | ||||
\(919\) | −12.4240 | + | 9.02653i | −0.409828 | + | 0.297758i | −0.773532 | − | 0.633757i | \(-0.781512\pi\) |
0.363704 | + | 0.931515i | \(0.381512\pi\) | |||||||
\(920\) | −21.6368 | − | 43.3827i | −0.713344 | − | 1.43028i | ||||
\(921\) | 4.59845 | + | 1.49413i | 0.151524 | + | 0.0492331i | ||||
\(922\) | −1.15349 | − | 7.28284i | −0.0379881 | − | 0.239847i | ||||
\(923\) | −6.20146 | − | 6.20146i | −0.204123 | − | 0.204123i | ||||
\(924\) | 2.87980 | − | 2.05950i | 0.0947386 | − | 0.0677525i | ||||
\(925\) | −40.9945 | − | 21.7836i | −1.34789 | − | 0.716241i | ||||
\(926\) | −8.24557 | + | 11.3490i | −0.270966 | + | 0.372953i | ||||
\(927\) | 3.81197 | − | 1.94230i | 0.125202 | − | 0.0637934i | ||||
\(928\) | −6.06859 | − | 3.09210i | −0.199211 | − | 0.101503i | ||||
\(929\) | 30.4150 | + | 41.8626i | 0.997882 | + | 1.37347i | 0.926616 | + | 0.376010i | \(0.122704\pi\) |
0.0712667 | + | 0.997457i | \(0.477296\pi\) | |||||||
\(930\) | 4.59799 | + | 4.67774i | 0.150774 | + | 0.153389i | ||||
\(931\) | 23.6904 | − | 7.69748i | 0.776422 | − | 0.252275i | ||||
\(932\) | 5.28719 | + | 10.3767i | 0.173188 | + | 0.339900i | ||||
\(933\) | −13.0528 | + | 2.06736i | −0.427330 | + | 0.0676825i | ||||
\(934\) | 35.5736 | 1.16400 | ||||||||
\(935\) | 21.5156 | − | 28.6331i | 0.703635 | − | 0.936402i | ||||
\(936\) | −15.8767 | −0.518947 | ||||||||
\(937\) | 14.0246 | − | 2.22128i | 0.458163 | − | 0.0725659i | 0.0769129 | − | 0.997038i | \(-0.475494\pi\) |
0.381250 | + | 0.924472i | \(0.375494\pi\) | |||||||
\(938\) | −0.181146 | − | 0.355519i | −0.00591463 | − | 0.0116081i | ||||
\(939\) | −2.56652 | + | 0.833912i | −0.0837552 | + | 0.0272137i | ||||
\(940\) | 0.0207641 | − | 2.41501i | 0.000677251 | − | 0.0787689i | ||||
\(941\) | −1.00940 | − | 1.38932i | −0.0329054 | − | 0.0452904i | 0.792247 | − | 0.610200i | \(-0.208911\pi\) |
−0.825153 | + | 0.564910i | \(0.808911\pi\) | |||||||
\(942\) | −16.2019 | − | 8.25527i | −0.527886 | − | 0.268971i | ||||
\(943\) | −66.6745 | + | 33.9723i | −2.17122 | + | 1.10629i | ||||
\(944\) | −1.85575 | + | 2.55422i | −0.0603995 | + | 0.0831328i | ||||
\(945\) | −3.38224 | + | 0.505924i | −0.110024 | + | 0.0164577i | ||||
\(946\) | 0.632149 | − | 1.89705i | 0.0205529 | − | 0.0616785i | ||||
\(947\) | 36.4494 | + | 36.4494i | 1.18444 | + | 1.18444i | 0.978581 | + | 0.205864i | \(0.0660006\pi\) |
0.205864 | + | 0.978581i | \(0.433999\pi\) | |||||||
\(948\) | −0.231000 | − | 1.45847i | −0.00750252 | − | 0.0473691i | ||||
\(949\) | 15.3124 | + | 4.97530i | 0.497061 | + | 0.161505i | ||||
\(950\) | −30.0294 | − | 5.28702i | −0.974284 | − | 0.171534i | ||||
\(951\) | 3.36814 | − | 2.44710i | 0.109219 | − | 0.0793525i | ||||
\(952\) | 3.55711 | − | 22.4587i | 0.115287 | − | 0.727892i | ||||
\(953\) | −14.6261 | + | 28.7053i | −0.473785 | + | 0.929856i | 0.523196 | + | 0.852213i | \(0.324740\pi\) |
−0.996981 | + | 0.0776436i | \(0.975260\pi\) | |||||||
\(954\) | −3.95256 | + | 12.1647i | −0.127969 | + | 0.393848i | ||||
\(955\) | 30.2432 | + | 15.7386i | 0.978646 | + | 0.509290i | ||||
\(956\) | − | 0.978139i | − | 0.0316353i | ||||||
\(957\) | −5.35860 | − | 2.78113i | −0.173219 | − | 0.0899012i | ||||
\(958\) | 28.7892 | − | 28.7892i | 0.930137 | − | 0.930137i | ||||
\(959\) | 0.877908 | + | 0.637837i | 0.0283491 | + | 0.0205968i | ||||
\(960\) | 15.4780 | − | 11.0433i | 0.499549 | − | 0.356422i | ||||
\(961\) | −7.53736 | − | 23.1976i | −0.243141 | − | 0.748310i | ||||
\(962\) | −53.9640 | − | 8.54706i | −1.73987 | − | 0.275568i | ||||
\(963\) | 9.97294 | + | 1.57956i | 0.321373 | + | 0.0509006i | ||||
\(964\) | 0.257002 | + | 0.790971i | 0.00827748 | + | 0.0254755i | ||||
\(965\) | 21.7848 | − | 15.5432i | 0.701279 | − | 0.500354i | ||||
\(966\) | −9.94288 | − | 7.22393i | −0.319907 | − | 0.232426i | ||||
\(967\) | 42.0426 | − | 42.0426i | 1.35200 | − | 1.35200i | 0.468574 | − | 0.883424i | \(-0.344768\pi\) |
0.883424 | − | 0.468574i | \(-0.155232\pi\) | |||||||
\(968\) | −15.8246 | + | 29.9393i | −0.508622 | + | 0.962286i | ||||
\(969\) | 25.8101i | 0.829140i | ||||||||
\(970\) | −41.3504 | − | 21.5189i | −1.32768 | − | 0.690930i | ||||
\(971\) | 11.6094 | − | 35.7301i | 0.372564 | − | 1.14664i | −0.572543 | − | 0.819875i | \(-0.694043\pi\) |
0.945107 | − | 0.326760i | \(-0.105957\pi\) | |||||||
\(972\) | −0.316873 | + | 0.621898i | −0.0101637 | + | 0.0199474i | ||||
\(973\) | 2.50693 | − | 15.8281i | 0.0803685 | − | 0.507427i | ||||
\(974\) | 13.6385 | − | 9.90892i | 0.437004 | − | 0.317502i | ||||
\(975\) | 14.7957 | + | 21.1188i | 0.473840 | + | 0.676343i | ||||
\(976\) | −7.08722 | − | 2.30278i | −0.226856 | − | 0.0737101i | ||||
\(977\) | −8.88236 | − | 56.0810i | −0.284172 | − | 1.79419i | −0.555303 | − | 0.831648i | \(-0.687398\pi\) |
0.271132 | − | 0.962542i | \(-0.412602\pi\) | |||||||
\(978\) | −3.74167 | − | 3.74167i | −0.119645 | − | 0.119645i | ||||
\(979\) | 35.0548 | − | 11.1002i | 1.12036 | − | 0.354764i | ||||
\(980\) | 7.19430 | − | 1.07614i | 0.229813 | − | 0.0343761i | ||||
\(981\) | 9.39839 | − | 12.9358i | 0.300068 | − | 0.413008i | ||||
\(982\) | 32.8977 | − | 16.7622i | 1.04981 | − | 0.534904i | ||||
\(983\) | −23.2288 | − | 11.8357i | −0.740885 | − | 0.377500i | 0.0424509 | − | 0.999099i | \(-0.486483\pi\) |
−0.783336 | + | 0.621599i | \(0.786483\pi\) | |||||||
\(984\) | −19.2276 | − | 26.4645i | −0.612952 | − | 0.843657i | ||||
\(985\) | −0.302231 | + | 35.1515i | −0.00962988 | + | 1.12002i | ||||
\(986\) | −9.54022 | + | 3.09980i | −0.303822 | + | 0.0987179i | ||||
\(987\) | −1.07444 | − | 2.10871i | −0.0341998 | − | 0.0671209i | ||||
\(988\) | 19.0006 | − | 3.00940i | 0.604490 | − | 0.0957418i | ||||
\(989\) | 3.72099 | 0.118320 | ||||||||
\(990\) | 6.92535 | − | 4.86323i | 0.220102 | − | 0.154564i | ||||
\(991\) | 20.4321 | 0.649046 | 0.324523 | − | 0.945878i | \(-0.394796\pi\) | ||||
0.324523 | + | 0.945878i | \(0.394796\pi\) | |||||||
\(992\) | 9.50021 | − | 1.50468i | 0.301632 | − | 0.0477738i | ||||
\(993\) | −15.5955 | − | 30.6080i | −0.494910 | − | 0.971315i | ||||
\(994\) | 2.82251 | − | 0.917091i | 0.0895247 | − | 0.0290883i | ||||
\(995\) | 33.7661 | + | 34.3518i | 1.07046 | + | 1.08903i | ||||
\(996\) | −2.90158 | − | 3.99369i | −0.0919402 | − | 0.126545i | ||||
\(997\) | −19.1694 | − | 9.76731i | −0.607102 | − | 0.309334i | 0.123281 | − | 0.992372i | \(-0.460658\pi\) |
−0.730383 | + | 0.683038i | \(0.760658\pi\) | |||||||
\(998\) | −24.2401 | + | 12.3510i | −0.767308 | + | 0.390963i | ||||
\(999\) | −5.45733 | + | 7.51137i | −0.172662 | + | 0.237649i |
(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 | 165.2.w.a.7.5 | ✓ | 96 | |
3.2 | odd | 2 | 495.2.bj.c.172.8 | 96 | |||
5.2 | odd | 4 | 825.2.cw.b.568.5 | 96 | |||
5.3 | odd | 4 | inner | 165.2.w.a.73.8 | yes | 96 | |
5.4 | even | 2 | 825.2.cw.b.7.8 | 96 | |||
11.8 | odd | 10 | inner | 165.2.w.a.52.8 | yes | 96 | |
15.8 | even | 4 | 495.2.bj.c.73.5 | 96 | |||
33.8 | even | 10 | 495.2.bj.c.217.5 | 96 | |||
55.8 | even | 20 | inner | 165.2.w.a.118.5 | yes | 96 | |
55.19 | odd | 10 | 825.2.cw.b.382.5 | 96 | |||
55.52 | even | 20 | 825.2.cw.b.118.8 | 96 | |||
165.8 | odd | 20 | 495.2.bj.c.118.8 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.w.a.7.5 | ✓ | 96 | 1.1 | even | 1 | trivial | |
165.2.w.a.52.8 | yes | 96 | 11.8 | odd | 10 | inner | |
165.2.w.a.73.8 | yes | 96 | 5.3 | odd | 4 | inner | |
165.2.w.a.118.5 | yes | 96 | 55.8 | even | 20 | inner | |
495.2.bj.c.73.5 | 96 | 15.8 | even | 4 | |||
495.2.bj.c.118.8 | 96 | 165.8 | odd | 20 | |||
495.2.bj.c.172.8 | 96 | 3.2 | odd | 2 | |||
495.2.bj.c.217.5 | 96 | 33.8 | even | 10 | |||
825.2.cw.b.7.8 | 96 | 5.4 | even | 2 | |||
825.2.cw.b.118.8 | 96 | 55.52 | even | 20 | |||
825.2.cw.b.382.5 | 96 | 55.19 | odd | 10 | |||
825.2.cw.b.568.5 | 96 | 5.2 | odd | 4 |