Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [624,2,Mod(19,624)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(624, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("624.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 624 = 2^{4} \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 624.ch (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.98266508613\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.52 | ||
Character | \(\chi\) | \(=\) | 624.19 |
Dual form | 624.2.ch.a.427.52 |
$q$-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 \(\left(\mathbb{Z}/624\mathbb{Z}\right)^\times\).
\(n\) | \(79\) | \(145\) | \(209\) | \(469\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{12}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.37030 | + | 0.349682i | 0.968949 | + | 0.247262i | ||||
\(3\) | −0.258819 | − | 0.965926i | −0.149429 | − | 0.557678i | ||||
\(4\) | 1.75545 | + | 0.958338i | 0.877723 | + | 0.479169i | ||||
\(5\) | 0.533822i | 0.238732i | 0.992850 | + | 0.119366i | \(0.0380863\pi\) | ||||
−0.992850 | + | 0.119366i | \(0.961914\pi\) | |||||||
\(6\) | −0.0168930 | − | 1.41411i | −0.00689653 | − | 0.577309i | ||||
\(7\) | −0.607709 | + | 2.26800i | −0.229692 | + | 0.857224i | 0.750778 | + | 0.660555i | \(0.229679\pi\) |
−0.980470 | + | 0.196669i | \(0.936988\pi\) | |||||||
\(8\) | 2.07037 | + | 1.92706i | 0.731987 | + | 0.681318i | ||||
\(9\) | −0.866025 | + | 0.500000i | −0.288675 | + | 0.166667i | ||||
\(10\) | −0.186668 | + | 0.731496i | −0.0590296 | + | 0.231319i | ||||
\(11\) | 3.37391 | + | 1.94793i | 1.01727 | + | 0.587322i | 0.913312 | − | 0.407260i | \(-0.133516\pi\) |
0.103959 | + | 0.994582i | \(0.466849\pi\) | |||||||
\(12\) | 0.471341 | − | 1.94367i | 0.136064 | − | 0.561088i | ||||
\(13\) | −2.94803 | + | 2.07584i | −0.817636 | + | 0.575736i | ||||
\(14\) | −1.62582 | + | 2.89534i | −0.434519 | + | 0.773811i | ||||
\(15\) | 0.515632 | − | 0.138163i | 0.133136 | − | 0.0356736i | ||||
\(16\) | 2.16318 | + | 3.36462i | 0.540794 | + | 0.841155i | ||||
\(17\) | 3.15055 | − | 1.81897i | 0.764120 | − | 0.441165i | −0.0666528 | − | 0.997776i | \(-0.521232\pi\) |
0.830773 | + | 0.556611i | \(0.187899\pi\) | |||||||
\(18\) | −1.36156 | + | 0.382317i | −0.320922 | + | 0.0901129i | ||||
\(19\) | 1.70786 | − | 0.986032i | 0.391810 | − | 0.226211i | −0.291134 | − | 0.956682i | \(-0.594033\pi\) |
0.682944 | + | 0.730471i | \(0.260699\pi\) | |||||||
\(20\) | −0.511582 | + | 0.937095i | −0.114393 | + | 0.209541i | ||||
\(21\) | 2.34801 | 0.512377 | ||||||||
\(22\) | 3.94211 | + | 3.84904i | 0.840460 | + | 0.820617i | ||||
\(23\) | −1.31196 | − | 0.757460i | −0.273562 | − | 0.157941i | 0.356943 | − | 0.934126i | \(-0.383819\pi\) |
−0.630505 | + | 0.776185i | \(0.717152\pi\) | |||||||
\(24\) | 1.32554 | − | 2.49859i | 0.270575 | − | 0.510022i | ||||
\(25\) | 4.71503 | 0.943007 | ||||||||
\(26\) | −4.76557 | + | 1.81366i | −0.934605 | + | 0.355688i | ||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | −3.24031 | + | 3.39896i | −0.612361 | + | 0.642343i | ||||
\(29\) | −1.79742 | + | 0.481619i | −0.333773 | + | 0.0894343i | −0.421814 | − | 0.906683i | \(-0.638606\pi\) |
0.0880401 | + | 0.996117i | \(0.471940\pi\) | |||||||
\(30\) | 0.754884 | − | 0.00901784i | 0.137822 | − | 0.00164643i | ||||
\(31\) | −6.22485 | − | 6.22485i | −1.11802 | − | 1.11802i | −0.992032 | − | 0.125983i | \(-0.959792\pi\) |
−0.125983 | − | 0.992032i | \(-0.540208\pi\) | |||||||
\(32\) | 1.78765 | + | 5.36696i | 0.316015 | + | 0.948754i | ||||
\(33\) | 1.00832 | − | 3.76310i | 0.175526 | − | 0.655072i | ||||
\(34\) | 4.95326 | − | 1.39085i | 0.849477 | − | 0.238528i | ||||
\(35\) | −1.21071 | − | 0.324408i | −0.204647 | − | 0.0548350i | ||||
\(36\) | −1.99943 | + | 0.0477771i | −0.333238 | + | 0.00796286i | ||||
\(37\) | 5.28586 | − | 9.15537i | 0.868990 | − | 1.50513i | 0.00595919 | − | 0.999982i | \(-0.498103\pi\) |
0.863030 | − | 0.505152i | \(-0.168564\pi\) | |||||||
\(38\) | 2.68508 | − | 0.753953i | 0.435577 | − | 0.122307i | ||||
\(39\) | 2.76812 | + | 2.31031i | 0.443254 | + | 0.369945i | ||||
\(40\) | −1.02871 | + | 1.10521i | −0.162653 | + | 0.174749i | ||||
\(41\) | −2.24090 | + | 0.600446i | −0.349969 | + | 0.0937740i | −0.429521 | − | 0.903057i | \(-0.641318\pi\) |
0.0795521 | + | 0.996831i | \(0.474651\pi\) | |||||||
\(42\) | 3.21747 | + | 0.821055i | 0.496467 | + | 0.126692i | ||||
\(43\) | 0.913123 | + | 0.244670i | 0.139250 | + | 0.0373119i | 0.327771 | − | 0.944757i | \(-0.393703\pi\) |
−0.188521 | + | 0.982069i | \(0.560369\pi\) | |||||||
\(44\) | 4.05593 | + | 6.65282i | 0.611455 | + | 1.00295i | ||||
\(45\) | −0.266911 | − | 0.462303i | −0.0397887 | − | 0.0689161i | ||||
\(46\) | −1.53291 | − | 1.49672i | −0.226015 | − | 0.220679i | ||||
\(47\) | −8.16284 | + | 8.16284i | −1.19067 | + | 1.19067i | −0.213793 | + | 0.976879i | \(0.568582\pi\) |
−0.976879 | + | 0.213793i | \(0.931418\pi\) | |||||||
\(48\) | 2.69010 | − | 2.96029i | 0.388283 | − | 0.427282i | ||||
\(49\) | 1.28766 | + | 0.743432i | 0.183952 | + | 0.106205i | ||||
\(50\) | 6.46101 | + | 1.64876i | 0.913725 | + | 0.233170i | ||||
\(51\) | −2.57241 | − | 2.57241i | −0.360210 | − | 0.360210i | ||||
\(52\) | −7.16446 | + | 0.818823i | −0.993532 | + | 0.113550i | ||||
\(53\) | 6.50758 | − | 6.50758i | 0.893885 | − | 0.893885i | −0.101001 | − | 0.994886i | \(-0.532205\pi\) |
0.994886 | + | 0.101001i | \(0.0322046\pi\) | |||||||
\(54\) | 0.721686 | + | 1.21621i | 0.0982090 | + | 0.165505i | ||||
\(55\) | −1.03985 | + | 1.80106i | −0.140213 | + | 0.242856i | ||||
\(56\) | −5.62875 | + | 3.52452i | −0.752174 | + | 0.470983i | ||||
\(57\) | −1.39446 | − | 1.39446i | −0.184701 | − | 0.184701i | ||||
\(58\) | −2.63142 | + | 0.0314350i | −0.345523 | + | 0.00412762i | ||||
\(59\) | −5.15044 | + | 2.97361i | −0.670530 | + | 0.387131i | −0.796277 | − | 0.604932i | \(-0.793200\pi\) |
0.125748 | + | 0.992062i | \(0.459867\pi\) | |||||||
\(60\) | 1.03757 | + | 0.251612i | 0.133950 | + | 0.0324830i | ||||
\(61\) | 2.62650 | − | 9.80222i | 0.336289 | − | 1.25505i | −0.566177 | − | 0.824284i | \(-0.691578\pi\) |
0.902465 | − | 0.430762i | \(-0.141755\pi\) | |||||||
\(62\) | −6.35319 | − | 10.7066i | −0.806856 | − | 1.35974i | ||||
\(63\) | −0.607709 | − | 2.26800i | −0.0765641 | − | 0.285741i | ||||
\(64\) | 0.572890 | + | 7.97946i | 0.0716112 | + | 0.997433i | ||||
\(65\) | −1.10813 | − | 1.57372i | −0.137447 | − | 0.195196i | ||||
\(66\) | 2.69759 | − | 4.80399i | 0.332050 | − | 0.591330i | ||||
\(67\) | 2.24423 | + | 1.29571i | 0.274176 | + | 0.158296i | 0.630784 | − | 0.775958i | \(-0.282733\pi\) |
−0.356608 | + | 0.934254i | \(0.616067\pi\) | |||||||
\(68\) | 7.27380 | − | 0.173810i | 0.882078 | − | 0.0210776i | ||||
\(69\) | −0.392090 | + | 1.46330i | −0.0472021 | + | 0.176161i | ||||
\(70\) | −1.54559 | − | 0.867900i | −0.184734 | − | 0.103734i | ||||
\(71\) | −15.2954 | − | 4.09840i | −1.81524 | − | 0.486391i | −0.819055 | − | 0.573714i | \(-0.805502\pi\) |
−0.996180 | + | 0.0873236i | \(0.972169\pi\) | |||||||
\(72\) | −2.75653 | − | 0.633695i | −0.324860 | − | 0.0746817i | ||||
\(73\) | −3.70208 | + | 3.70208i | −0.433296 | + | 0.433296i | −0.889748 | − | 0.456452i | \(-0.849120\pi\) |
0.456452 | + | 0.889748i | \(0.349120\pi\) | |||||||
\(74\) | 10.4447 | − | 10.6972i | 1.21417 | − | 1.24353i | ||||
\(75\) | −1.22034 | − | 4.55437i | −0.140913 | − | 0.525894i | ||||
\(76\) | 3.94300 | − | 0.0942196i | 0.452294 | − | 0.0108077i | ||||
\(77\) | −6.46825 | + | 6.46825i | −0.737125 | + | 0.737125i | ||||
\(78\) | 2.98528 | + | 4.13378i | 0.338016 | + | 0.468058i | ||||
\(79\) | 0.388573i | 0.0437178i | 0.999761 | + | 0.0218589i | \(0.00695846\pi\) | ||||
−0.999761 | + | 0.0218589i | \(0.993042\pi\) | |||||||
\(80\) | −1.79611 | + | 1.15475i | −0.200811 | + | 0.129105i | ||||
\(81\) | 0.500000 | − | 0.866025i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | −3.28067 | + | 0.0391908i | −0.362289 | + | 0.00432790i | ||||
\(83\) | 12.6374i | 1.38714i | 0.720391 | + | 0.693568i | \(0.243962\pi\) | ||||
−0.720391 | + | 0.693568i | \(0.756038\pi\) | |||||||
\(84\) | 4.12180 | + | 2.25018i | 0.449725 | + | 0.245515i | ||||
\(85\) | 0.971006 | + | 1.68183i | 0.105320 | + | 0.182420i | ||||
\(86\) | 1.16570 | + | 0.654574i | 0.125700 | + | 0.0705846i | ||||
\(87\) | 0.930416 | + | 1.61153i | 0.0997510 | + | 0.172774i | ||||
\(88\) | 3.23148 | + | 10.5346i | 0.344477 | + | 1.12300i | ||||
\(89\) | −3.89942 | − | 14.5528i | −0.413338 | − | 1.54260i | −0.788141 | − | 0.615494i | \(-0.788956\pi\) |
0.374803 | − | 0.927104i | \(-0.377710\pi\) | |||||||
\(90\) | −0.204089 | − | 0.726828i | −0.0215129 | − | 0.0766144i | ||||
\(91\) | −2.91647 | − | 7.94764i | −0.305730 | − | 0.833139i | ||||
\(92\) | −1.57717 | − | 2.58698i | −0.164431 | − | 0.269711i | ||||
\(93\) | −4.40163 | + | 7.62385i | −0.456428 | + | 0.790556i | ||||
\(94\) | −14.0399 | + | 8.33114i | −1.44811 | + | 0.859291i | ||||
\(95\) | 0.526366 | + | 0.911692i | 0.0540040 | + | 0.0935377i | ||||
\(96\) | 4.72141 | − | 3.11581i | 0.481877 | − | 0.318006i | ||||
\(97\) | 2.20489 | + | 0.590799i | 0.223873 | + | 0.0599865i | 0.369012 | − | 0.929425i | \(-0.379696\pi\) |
−0.145139 | + | 0.989411i | \(0.546363\pi\) | |||||||
\(98\) | 1.50452 | + | 1.46900i | 0.151979 | + | 0.148391i | ||||
\(99\) | −3.89585 | −0.391548 | ||||||||
\(100\) | 8.27698 | + | 4.51860i | 0.827698 | + | 0.451860i | ||||
\(101\) | −0.854187 | + | 0.228879i | −0.0849948 | + | 0.0227743i | −0.301066 | − | 0.953603i | \(-0.597342\pi\) |
0.216071 | + | 0.976378i | \(0.430676\pi\) | |||||||
\(102\) | −2.62545 | − | 4.42450i | −0.259958 | − | 0.438091i | ||||
\(103\) | − | 12.8601i | − | 1.26714i | −0.773685 | − | 0.633571i | \(-0.781589\pi\) | ||
0.773685 | − | 0.633571i | \(-0.218411\pi\) | |||||||
\(104\) | −10.1038 | − | 1.38325i | −0.990758 | − | 0.135639i | ||||
\(105\) | 1.25342i | 0.122321i | ||||||||
\(106\) | 11.1929 | − | 6.64176i | 1.08715 | − | 0.645104i | ||||
\(107\) | 15.6617 | − | 4.19653i | 1.51407 | − | 0.405694i | 0.596285 | − | 0.802773i | \(-0.296643\pi\) |
0.917785 | + | 0.397079i | \(0.129976\pi\) | |||||||
\(108\) | 0.563640 | + | 1.91893i | 0.0542362 | + | 0.184650i | ||||
\(109\) | 2.46001 | 0.235626 | 0.117813 | − | 0.993036i | \(-0.462412\pi\) | ||||
0.117813 | + | 0.993036i | \(0.462412\pi\) | |||||||
\(110\) | −2.05470 | + | 2.10438i | −0.195908 | + | 0.200645i | ||||
\(111\) | −10.2115 | − | 2.73616i | −0.969232 | − | 0.259705i | ||||
\(112\) | −8.94554 | + | 2.86137i | −0.845274 | + | 0.270374i | ||||
\(113\) | −5.49465 | − | 9.51702i | −0.516893 | − | 0.895286i | −0.999808 | − | 0.0196179i | \(-0.993755\pi\) |
0.482914 | − | 0.875668i | \(-0.339578\pi\) | |||||||
\(114\) | −1.42321 | − | 2.39845i | −0.133296 | − | 0.224635i | ||||
\(115\) | 0.404349 | − | 0.700353i | 0.0377057 | − | 0.0653082i | ||||
\(116\) | −3.61683 | − | 0.877086i | −0.335815 | − | 0.0814354i | ||||
\(117\) | 1.51514 | − | 3.27175i | 0.140075 | − | 0.302473i | ||||
\(118\) | −8.09746 | + | 2.27372i | −0.745432 | + | 0.209313i | ||||
\(119\) | 2.21081 | + | 8.25085i | 0.202664 | + | 0.756354i | ||||
\(120\) | 1.33380 | + | 0.707604i | 0.121759 | + | 0.0645952i | ||||
\(121\) | 2.08883 | + | 3.61795i | 0.189893 | + | 0.328905i | ||||
\(122\) | 7.02675 | − | 12.5135i | 0.636172 | − | 1.13292i | ||||
\(123\) | 1.15997 | + | 2.00913i | 0.104591 | + | 0.181157i | ||||
\(124\) | −4.96187 | − | 16.8929i | −0.445589 | − | 1.51703i | ||||
\(125\) | 5.18610i | 0.463859i | ||||||||
\(126\) | −0.0396648 | − | 3.32035i | −0.00353362 | − | 0.295800i | ||||
\(127\) | −1.21311 | + | 2.10117i | −0.107646 | + | 0.186449i | −0.914816 | − | 0.403870i | \(-0.867665\pi\) |
0.807170 | + | 0.590319i | \(0.200998\pi\) | |||||||
\(128\) | −2.00524 | + | 11.1346i | −0.177240 | + | 0.984168i | ||||
\(129\) | − | 0.945334i | − | 0.0832320i | ||||||
\(130\) | −0.968171 | − | 2.54397i | −0.0849142 | − | 0.223121i | ||||
\(131\) | −11.1029 | + | 11.1029i | −0.970065 | + | 0.970065i | −0.999565 | − | 0.0294997i | \(-0.990609\pi\) |
0.0294997 | + | 0.999565i | \(0.490609\pi\) | |||||||
\(132\) | 5.37638 | − | 5.63961i | 0.467954 | − | 0.490865i | ||||
\(133\) | 1.19844 | + | 4.47264i | 0.103918 | + | 0.387827i | ||||
\(134\) | 2.62218 | + | 2.56027i | 0.226522 | + | 0.221174i | ||||
\(135\) | −0.377469 | + | 0.377469i | −0.0324874 | + | 0.0324874i | ||||
\(136\) | 10.0281 | + | 2.30535i | 0.859900 | + | 0.197682i | ||||
\(137\) | −1.40135 | − | 0.375491i | −0.119726 | − | 0.0320804i | 0.198459 | − | 0.980109i | \(-0.436406\pi\) |
−0.318184 | + | 0.948029i | \(0.603073\pi\) | |||||||
\(138\) | −1.04897 | + | 1.86805i | −0.0892944 | + | 0.159019i | ||||
\(139\) | 3.57867 | − | 13.3558i | 0.303539 | − | 1.13282i | −0.630657 | − | 0.776062i | \(-0.717214\pi\) |
0.934196 | − | 0.356761i | \(-0.116119\pi\) | |||||||
\(140\) | −1.81444 | − | 1.72975i | −0.153348 | − | 0.146191i | ||||
\(141\) | 9.99739 | + | 5.77200i | 0.841932 | + | 0.486090i | ||||
\(142\) | −19.5262 | − | 10.9646i | −1.63860 | − | 0.920127i | ||||
\(143\) | −13.9900 | + | 1.26117i | −1.16990 | + | 0.105464i | ||||
\(144\) | −3.55567 | − | 1.83226i | −0.296306 | − | 0.152688i | ||||
\(145\) | −0.257099 | − | 0.959505i | −0.0213509 | − | 0.0796825i | ||||
\(146\) | −6.36751 | + | 3.77841i | −0.526979 | + | 0.312704i | ||||
\(147\) | 0.384829 | − | 1.43620i | 0.0317402 | − | 0.118456i | ||||
\(148\) | 18.0530 | − | 11.0061i | 1.48395 | − | 0.904697i | ||||
\(149\) | −3.62712 | + | 2.09412i | −0.297145 | + | 0.171557i | −0.641160 | − | 0.767407i | \(-0.721546\pi\) |
0.344014 | + | 0.938964i | \(0.388213\pi\) | |||||||
\(150\) | −0.0796510 | − | 6.66759i | −0.00650347 | − | 0.544406i | ||||
\(151\) | −12.2722 | − | 12.2722i | −0.998698 | − | 0.998698i | 0.00130076 | − | 0.999999i | \(-0.499586\pi\) |
−0.999999 | + | 0.00130076i | \(0.999586\pi\) | |||||||
\(152\) | 5.43605 | + | 1.24969i | 0.440922 | + | 0.101363i | ||||
\(153\) | −1.81897 | + | 3.15055i | −0.147055 | + | 0.254707i | ||||
\(154\) | −11.1253 | + | 6.60161i | −0.896500 | + | 0.531973i | ||||
\(155\) | 3.32296 | − | 3.32296i | 0.266907 | − | 0.266907i | ||||
\(156\) | 2.64522 | + | 6.70841i | 0.211787 | + | 0.537103i | ||||
\(157\) | −3.38489 | − | 3.38489i | −0.270144 | − | 0.270144i | 0.559014 | − | 0.829158i | \(-0.311180\pi\) |
−0.829158 | + | 0.559014i | \(0.811180\pi\) | |||||||
\(158\) | −0.135877 | + | 0.532461i | −0.0108098 | + | 0.0423603i | ||||
\(159\) | −7.97013 | − | 4.60156i | −0.632072 | − | 0.364927i | ||||
\(160\) | −2.86500 | + | 0.954288i | −0.226498 | + | 0.0754431i | ||||
\(161\) | 2.51521 | − | 2.51521i | 0.198226 | − | 0.198226i | ||||
\(162\) | 0.987984 | − | 1.01187i | 0.0776233 | − | 0.0795003i | ||||
\(163\) | 6.49279 | + | 11.2458i | 0.508554 | + | 0.880842i | 0.999951 | + | 0.00990589i | \(0.00315320\pi\) |
−0.491397 | + | 0.870936i | \(0.663513\pi\) | |||||||
\(164\) | −4.50920 | − | 1.09349i | −0.352109 | − | 0.0853869i | ||||
\(165\) | 2.00883 | + | 0.538264i | 0.156387 | + | 0.0419038i | ||||
\(166\) | −4.41908 | + | 17.3171i | −0.342987 | + | 1.34406i | ||||
\(167\) | 10.1056 | − | 2.70778i | 0.781994 | − | 0.209535i | 0.154330 | − | 0.988019i | \(-0.450678\pi\) |
0.627663 | + | 0.778485i | \(0.284011\pi\) | |||||||
\(168\) | 4.86125 | + | 4.52475i | 0.375054 | + | 0.349092i | ||||
\(169\) | 4.38174 | − | 12.2393i | 0.337057 | − | 0.941484i | ||||
\(170\) | 0.742464 | + | 2.64416i | 0.0569444 | + | 0.202798i | ||||
\(171\) | −0.986032 | + | 1.70786i | −0.0754038 | + | 0.130603i | ||||
\(172\) | 1.36846 | + | 1.30459i | 0.104344 | + | 0.0994737i | ||||
\(173\) | −0.699941 | − | 0.187549i | −0.0532155 | − | 0.0142591i | 0.232113 | − | 0.972689i | \(-0.425436\pi\) |
−0.285329 | + | 0.958430i | \(0.592103\pi\) | |||||||
\(174\) | 0.711427 | + | 2.53363i | 0.0539331 | + | 0.192074i | ||||
\(175\) | −2.86537 | + | 10.6937i | −0.216601 | + | 0.808368i | ||||
\(176\) | 0.744318 | + | 15.5656i | 0.0561051 | + | 1.17330i | ||||
\(177\) | 4.20531 | + | 4.20531i | 0.316091 | + | 0.316091i | ||||
\(178\) | −0.254513 | − | 21.3053i | −0.0190766 | − | 1.59690i | ||||
\(179\) | −6.18050 | + | 1.65606i | −0.461952 | + | 0.123780i | −0.482286 | − | 0.876014i | \(-0.660194\pi\) |
0.0203345 | + | 0.999793i | \(0.493527\pi\) | |||||||
\(180\) | −0.0255045 | − | 1.06734i | −0.00190099 | − | 0.0795548i | ||||
\(181\) | 9.45013 | + | 9.45013i | 0.702423 | + | 0.702423i | 0.964930 | − | 0.262507i | \(-0.0845494\pi\) |
−0.262507 | + | 0.964930i | \(0.584549\pi\) | |||||||
\(182\) | −1.21730 | − | 11.9105i | −0.0902323 | − | 0.882864i | ||||
\(183\) | −10.1480 | −0.750162 | ||||||||
\(184\) | −1.25658 | − | 4.09645i | −0.0926360 | − | 0.301994i | ||||
\(185\) | 4.88734 | + | 2.82171i | 0.359324 | + | 0.207456i | ||||
\(186\) | −8.69748 | + | 8.90779i | −0.637730 | + | 0.653151i | ||||
\(187\) | 14.1729 | 1.03642 | ||||||||
\(188\) | −22.1522 | + | 6.50665i | −1.61561 | + | 0.474546i | ||||
\(189\) | −2.03343 | + | 1.17400i | −0.147911 | + | 0.0853962i | ||||
\(190\) | 0.402477 | + | 1.43335i | 0.0291987 | + | 0.103986i | ||||
\(191\) | 8.42783 | − | 4.86581i | 0.609816 | − | 0.352078i | −0.163077 | − | 0.986613i | \(-0.552142\pi\) |
0.772894 | + | 0.634536i | \(0.218809\pi\) | |||||||
\(192\) | 7.55929 | − | 2.61861i | 0.545545 | − | 0.188982i | ||||
\(193\) | 8.95490 | − | 2.39946i | 0.644588 | − | 0.172717i | 0.0783073 | − | 0.996929i | \(-0.475048\pi\) |
0.566281 | + | 0.824212i | \(0.308382\pi\) | |||||||
\(194\) | 2.81477 | + | 1.58058i | 0.202089 | + | 0.113479i | ||||
\(195\) | −1.23329 | + | 1.47768i | −0.0883180 | + | 0.105819i | ||||
\(196\) | 1.54796 | + | 2.53907i | 0.110569 | + | 0.181362i | ||||
\(197\) | 21.8453 | + | 12.6124i | 1.55641 | + | 0.898595i | 0.997596 | + | 0.0693043i | \(0.0220779\pi\) |
0.558817 | + | 0.829291i | \(0.311255\pi\) | |||||||
\(198\) | −5.33848 | − | 1.36231i | −0.379390 | − | 0.0968150i | ||||
\(199\) | 3.43544 | − | 1.98345i | 0.243532 | − | 0.140603i | −0.373267 | − | 0.927724i | \(-0.621762\pi\) |
0.616799 | + | 0.787121i | \(0.288429\pi\) | |||||||
\(200\) | 9.76188 | + | 9.08615i | 0.690269 | + | 0.642488i | ||||
\(201\) | 0.670707 | − | 2.50311i | 0.0473080 | − | 0.176556i | ||||
\(202\) | −1.25053 | + | 0.0149388i | −0.0879868 | + | 0.00105109i | ||||
\(203\) | − | 4.36924i | − | 0.306661i | ||||||
\(204\) | −2.05049 | − | 6.98097i | −0.143563 | − | 0.488766i | ||||
\(205\) | −0.320531 | − | 1.19624i | −0.0223869 | − | 0.0835490i | ||||
\(206\) | 4.49694 | − | 17.6222i | 0.313317 | − | 1.22780i | ||||
\(207\) | 1.51492 | 0.105294 | ||||||||
\(208\) | −13.3615 | − | 5.42858i | −0.926455 | − | 0.376404i | ||||
\(209\) | 7.68287 | 0.531435 | ||||||||
\(210\) | −0.438297 | + | 1.71756i | −0.0302454 | + | 0.118523i | ||||
\(211\) | −6.12337 | − | 22.8527i | −0.421550 | − | 1.57325i | −0.771343 | − | 0.636420i | \(-0.780415\pi\) |
0.349792 | − | 0.936827i | \(-0.386252\pi\) | |||||||
\(212\) | 17.6602 | − | 5.18724i | 1.21291 | − | 0.356261i | ||||
\(213\) | 15.8350i | 1.08500i | ||||||||
\(214\) | 22.9286 | − | 0.273905i | 1.56737 | − | 0.0187238i | ||||
\(215\) | −0.130610 | + | 0.487445i | −0.00890756 | + | 0.0332435i | ||||
\(216\) | 0.101339 | + | 2.82661i | 0.00689522 | + | 0.192327i | ||||
\(217\) | 17.9008 | − | 10.3351i | 1.21519 | − | 0.701589i | ||||
\(218\) | 3.37095 | + | 0.860219i | 0.228309 | + | 0.0582614i | ||||
\(219\) | 4.53410 | + | 2.61777i | 0.306386 | + | 0.176892i | ||||
\(220\) | −3.55142 | + | 2.16515i | −0.239437 | + | 0.145974i | ||||
\(221\) | −5.51201 | + | 11.9024i | −0.370778 | + | 0.800644i | ||||
\(222\) | −13.0360 | − | 7.32014i | −0.874921 | − | 0.491295i | ||||
\(223\) | −6.20919 | + | 1.66375i | −0.415798 | + | 0.111413i | −0.460652 | − | 0.887581i | \(-0.652384\pi\) |
0.0448539 | + | 0.998994i | \(0.485718\pi\) | |||||||
\(224\) | −13.2586 | + | 0.792844i | −0.885881 | + | 0.0529741i | ||||
\(225\) | −4.08334 | + | 2.35752i | −0.272223 | + | 0.157168i | ||||
\(226\) | −4.20139 | − | 14.9625i | −0.279473 | − | 0.995294i | ||||
\(227\) | −6.82677 | + | 3.94144i | −0.453109 | + | 0.261602i | −0.709142 | − | 0.705065i | \(-0.750918\pi\) |
0.256034 | + | 0.966668i | \(0.417584\pi\) | |||||||
\(228\) | −1.11153 | − | 3.78426i | −0.0736131 | − | 0.250619i | ||||
\(229\) | 13.8327 | 0.914090 | 0.457045 | − | 0.889444i | \(-0.348908\pi\) | ||||
0.457045 | + | 0.889444i | \(0.348908\pi\) | |||||||
\(230\) | 0.798980 | − | 0.818300i | 0.0526832 | − | 0.0539571i | ||||
\(231\) | 7.92195 | + | 4.57374i | 0.521226 | + | 0.300930i | ||||
\(232\) | −4.64945 | − | 2.46661i | −0.305251 | − | 0.161941i | ||||
\(233\) | −14.2035 | −0.930504 | −0.465252 | − | 0.885178i | \(-0.654036\pi\) | ||||
−0.465252 | + | 0.885178i | \(0.654036\pi\) | |||||||
\(234\) | 3.22027 | − | 3.95346i | 0.210516 | − | 0.258446i | ||||
\(235\) | −4.35750 | − | 4.35750i | −0.284252 | − | 0.284252i | ||||
\(236\) | −11.8910 | + | 0.284141i | −0.774040 | + | 0.0184960i | ||||
\(237\) | 0.375332 | − | 0.100570i | 0.0243805 | − | 0.00653272i | ||||
\(238\) | 0.144298 | + | 12.0792i | 0.00935347 | + | 0.782980i | ||||
\(239\) | 15.5667 | + | 15.5667i | 1.00693 | + | 1.00693i | 0.999976 | + | 0.00694960i | \(0.00221214\pi\) |
0.00694960 | + | 0.999976i | \(0.497788\pi\) | |||||||
\(240\) | 1.58027 | + | 1.43604i | 0.102006 | + | 0.0926957i | ||||
\(241\) | 7.84894 | − | 29.2926i | 0.505594 | − | 1.88690i | 0.0456479 | − | 0.998958i | \(-0.485465\pi\) |
0.459947 | − | 0.887947i | \(-0.347869\pi\) | |||||||
\(242\) | 1.59719 | + | 5.68810i | 0.102671 | + | 0.365645i | ||||
\(243\) | −0.965926 | − | 0.258819i | −0.0619642 | − | 0.0166032i | ||||
\(244\) | 14.0045 | − | 14.6902i | 0.896547 | − | 0.940443i | ||||
\(245\) | −0.396861 | + | 0.687383i | −0.0253545 | + | 0.0439153i | ||||
\(246\) | 0.886954 | + | 3.15874i | 0.0565501 | + | 0.201394i | ||||
\(247\) | −2.98796 | + | 6.45210i | −0.190120 | + | 0.410537i | ||||
\(248\) | −0.892110 | − | 24.8834i | −0.0566490 | − | 1.58010i | ||||
\(249\) | 12.2068 | − | 3.27080i | 0.773575 | − | 0.207279i | ||||
\(250\) | −1.81349 | + | 7.10651i | −0.114695 | + | 0.449455i | ||||
\(251\) | 4.72846 | + | 1.26699i | 0.298458 | + | 0.0799715i | 0.404940 | − | 0.914343i | \(-0.367292\pi\) |
−0.106483 | + | 0.994315i | \(0.533959\pi\) | |||||||
\(252\) | 1.10671 | − | 4.56374i | 0.0697163 | − | 0.287489i | ||||
\(253\) | −2.95095 | − | 5.11120i | −0.185525 | − | 0.321338i | ||||
\(254\) | −2.39707 | + | 2.45503i | −0.150406 | + | 0.154043i | ||||
\(255\) | 1.37321 | − | 1.37321i | 0.0859938 | − | 0.0859938i | ||||
\(256\) | −6.64135 | + | 14.5565i | −0.415084 | + | 0.909783i | ||||
\(257\) | −3.28896 | − | 1.89888i | −0.205160 | − | 0.118449i | 0.393900 | − | 0.919153i | \(-0.371126\pi\) |
−0.599060 | + | 0.800704i | \(0.704459\pi\) | |||||||
\(258\) | 0.330566 | − | 1.29539i | 0.0205802 | − | 0.0806475i | ||||
\(259\) | 17.5521 | + | 17.5521i | 1.09064 | + | 1.09064i | ||||
\(260\) | −0.437106 | − | 3.82455i | −0.0271082 | − | 0.237188i | ||||
\(261\) | 1.31581 | − | 1.31581i | 0.0814464 | − | 0.0814464i | ||||
\(262\) | −19.0968 | + | 11.3318i | −1.17980 | + | 0.700082i | ||||
\(263\) | −5.84694 | + | 10.1272i | −0.360538 | + | 0.624470i | −0.988049 | − | 0.154137i | \(-0.950740\pi\) |
0.627511 | + | 0.778607i | \(0.284074\pi\) | |||||||
\(264\) | 9.33932 | − | 5.84793i | 0.574795 | − | 0.359915i | ||||
\(265\) | 3.47389 | + | 3.47389i | 0.213399 | + | 0.213399i | ||||
\(266\) | 0.0782216 | + | 6.54794i | 0.00479607 | + | 0.401480i | ||||
\(267\) | −13.0477 | + | 7.53311i | −0.798508 | + | 0.461019i | ||||
\(268\) | 2.69790 | + | 4.42527i | 0.164800 | + | 0.270317i | ||||
\(269\) | −3.97866 | + | 14.8486i | −0.242583 | + | 0.905334i | 0.731999 | + | 0.681305i | \(0.238587\pi\) |
−0.974583 | + | 0.224028i | \(0.928079\pi\) | |||||||
\(270\) | −0.649240 | + | 0.385252i | −0.0395115 | + | 0.0234457i | ||||
\(271\) | 2.10230 | + | 7.84587i | 0.127705 | + | 0.476603i | 0.999922 | − | 0.0125175i | \(-0.00398455\pi\) |
−0.872216 | + | 0.489120i | \(0.837318\pi\) | |||||||
\(272\) | 12.9353 | + | 6.66565i | 0.784320 | + | 0.404164i | ||||
\(273\) | −6.92199 | + | 4.87410i | −0.418938 | + | 0.294994i | ||||
\(274\) | −1.78897 | − | 1.00456i | −0.108076 | − | 0.0606879i | ||||
\(275\) | 15.9081 | + | 9.18453i | 0.959293 | + | 0.553848i | ||||
\(276\) | −2.09063 | + | 2.19299i | −0.125841 | + | 0.132002i | ||||
\(277\) | −4.91337 | + | 18.3370i | −0.295216 | + | 1.10176i | 0.645830 | + | 0.763481i | \(0.276512\pi\) |
−0.941046 | + | 0.338279i | \(0.890155\pi\) | |||||||
\(278\) | 9.57413 | − | 17.0500i | 0.574218 | − | 1.02259i | ||||
\(279\) | 8.50330 | + | 2.27845i | 0.509079 | + | 0.136407i | ||||
\(280\) | −1.88146 | − | 3.00475i | −0.112439 | − | 0.179568i | ||||
\(281\) | −14.5744 | + | 14.5744i | −0.869438 | + | 0.869438i | −0.992410 | − | 0.122972i | \(-0.960757\pi\) |
0.122972 | + | 0.992410i | \(0.460757\pi\) | |||||||
\(282\) | 11.6811 | + | 11.4053i | 0.695597 | + | 0.679174i | ||||
\(283\) | 1.35643 | + | 5.06227i | 0.0806314 | + | 0.300920i | 0.994451 | − | 0.105200i | \(-0.0335481\pi\) |
−0.913820 | + | 0.406120i | \(0.866881\pi\) | |||||||
\(284\) | −22.9227 | − | 21.8527i | −1.36021 | − | 1.29672i | ||||
\(285\) | 0.744394 | − | 0.744394i | 0.0440941 | − | 0.0440941i | ||||
\(286\) | −19.6114 | − | 3.16386i | −1.15965 | − | 0.187083i | ||||
\(287\) | − | 5.44725i | − | 0.321541i | ||||||
\(288\) | −4.23163 | − | 3.75410i | −0.249351 | − | 0.221213i | ||||
\(289\) | −1.88270 | + | 3.26092i | −0.110747 | + | 0.191819i | ||||
\(290\) | −0.0167807 | − | 1.40471i | −0.000985396 | − | 0.0824876i | ||||
\(291\) | − | 2.28267i | − | 0.133813i | ||||||
\(292\) | −10.0466 | + | 2.95095i | −0.587935 | + | 0.172691i | ||||
\(293\) | −0.793311 | − | 1.37406i | −0.0463458 | − | 0.0802732i | 0.841922 | − | 0.539599i | \(-0.181424\pi\) |
−0.888268 | + | 0.459326i | \(0.848091\pi\) | |||||||
\(294\) | 1.02954 | − | 1.83346i | 0.0600443 | − | 0.106929i | ||||
\(295\) | −1.58738 | − | 2.74942i | −0.0924206 | − | 0.160077i | ||||
\(296\) | 28.5866 | − | 8.76888i | 1.66156 | − | 0.509681i | ||||
\(297\) | 1.00832 | + | 3.76310i | 0.0585087 | + | 0.218357i | ||||
\(298\) | −5.70252 | + | 1.60123i | −0.330338 | + | 0.0927569i | ||||
\(299\) | 5.44006 | − | 0.490411i | 0.314607 | − | 0.0283612i | ||||
\(300\) | 2.22239 | − | 9.16445i | 0.128310 | − | 0.529110i | ||||
\(301\) | −1.10983 | + | 1.92227i | −0.0639693 | + | 0.110798i | ||||
\(302\) | −12.5252 | − | 21.1080i | −0.720747 | − | 1.21463i | ||||
\(303\) | 0.442160 | + | 0.765843i | 0.0254014 | + | 0.0439966i | ||||
\(304\) | 7.01202 | + | 3.61333i | 0.402167 | + | 0.207239i | ||||
\(305\) | 5.23264 | + | 1.40208i | 0.299620 | + | 0.0802830i | ||||
\(306\) | −3.59423 | + | 3.68114i | −0.205468 | + | 0.210437i | ||||
\(307\) | 20.4026 | 1.16444 | 0.582220 | − | 0.813031i | \(-0.302184\pi\) | ||||
0.582220 | + | 0.813031i | \(0.302184\pi\) | |||||||
\(308\) | −17.5534 | + | 5.15588i | −1.00020 | + | 0.293784i | ||||
\(309\) | −12.4219 | + | 3.32843i | −0.706656 | + | 0.189348i | ||||
\(310\) | 5.71543 | − | 3.39147i | 0.324615 | − | 0.192623i | ||||
\(311\) | 13.8416i | 0.784884i | 0.919777 | + | 0.392442i | \(0.128370\pi\) | ||||
−0.919777 | + | 0.392442i | \(0.871630\pi\) | |||||||
\(312\) | 1.27894 | + | 10.1175i | 0.0724056 | + | 0.572792i | ||||
\(313\) | 22.6851i | 1.28224i | 0.767442 | + | 0.641119i | \(0.221529\pi\) | ||||
−0.767442 | + | 0.641119i | \(0.778471\pi\) | |||||||
\(314\) | −3.45468 | − | 5.82196i | −0.194959 | − | 0.328552i | ||||
\(315\) | 1.21071 | − | 0.324408i | 0.0682157 | − | 0.0182783i | ||||
\(316\) | −0.372384 | + | 0.682118i | −0.0209482 | + | 0.0383721i | ||||
\(317\) | −0.613334 | −0.0344483 | −0.0172241 | − | 0.999852i | \(-0.505483\pi\) | ||||
−0.0172241 | + | 0.999852i | \(0.505483\pi\) | |||||||
\(318\) | −9.31239 | − | 9.09252i | −0.522213 | − | 0.509883i | ||||
\(319\) | −7.00250 | − | 1.87631i | −0.392065 | − | 0.105053i | ||||
\(320\) | −4.25961 | + | 0.305821i | −0.238120 | + | 0.0170959i | ||||
\(321\) | −8.10707 | − | 14.0419i | −0.452493 | − | 0.783740i | ||||
\(322\) | 4.32612 | − | 2.56707i | 0.241085 | − | 0.143057i | ||||
\(323\) | 3.58713 | − | 6.21309i | 0.199593 | − | 0.345705i | ||||
\(324\) | 1.70767 | − | 1.04109i | 0.0948704 | − | 0.0578384i | ||||
\(325\) | −13.9001 | + | 9.78768i | −0.771036 | + | 0.542923i | ||||
\(326\) | 4.96460 | + | 17.6806i | 0.274964 | + | 0.979237i | ||||
\(327\) | −0.636696 | − | 2.37618i | −0.0352094 | − | 0.131403i | ||||
\(328\) | −5.79659 | − | 3.07519i | −0.320063 | − | 0.169799i | ||||
\(329\) | −13.5527 | − | 23.4739i | −0.747184 | − | 1.29416i | ||||
\(330\) | 2.56447 | + | 1.44003i | 0.141170 | + | 0.0792712i | ||||
\(331\) | −16.4049 | − | 28.4141i | −0.901695 | − | 1.56178i | −0.825293 | − | 0.564704i | \(-0.808990\pi\) |
−0.0764018 | − | 0.997077i | \(-0.524343\pi\) | |||||||
\(332\) | −12.1109 | + | 22.1843i | −0.664673 | + | 1.21752i | ||||
\(333\) | 10.5717i | 0.579326i | ||||||||
\(334\) | 14.7945 | − | 0.176736i | 0.809522 | − | 0.00967054i | ||||
\(335\) | −0.691677 | + | 1.19802i | −0.0377903 | + | 0.0654548i | ||||
\(336\) | 5.07915 | + | 7.90015i | 0.277090 | + | 0.430989i | ||||
\(337\) | 14.1269i | 0.769543i | 0.923012 | + | 0.384771i | \(0.125720\pi\) | ||||
−0.923012 | + | 0.384771i | \(0.874280\pi\) | |||||||
\(338\) | 10.2842 | − | 15.2393i | 0.559384 | − | 0.828908i | ||||
\(339\) | −7.77061 | + | 7.77061i | −0.422042 | + | 0.422042i | ||||
\(340\) | 0.0927838 | + | 3.88292i | 0.00503191 | + | 0.210581i | ||||
\(341\) | −8.87651 | − | 33.1276i | −0.480690 | − | 1.79396i | ||||
\(342\) | −1.94837 | + | 1.99548i | −0.105356 | + | 0.107903i | ||||
\(343\) | −14.0907 | + | 14.0907i | −0.760825 | + | 0.760825i | ||||
\(344\) | 1.41901 | + | 2.26620i | 0.0765079 | + | 0.122185i | ||||
\(345\) | −0.781142 | − | 0.209306i | −0.0420553 | − | 0.0112687i | ||||
\(346\) | −0.893546 | − | 0.501754i | −0.0480374 | − | 0.0269745i | ||||
\(347\) | 2.78260 | − | 10.3848i | 0.149378 | − | 0.557485i | −0.850144 | − | 0.526551i | \(-0.823485\pi\) |
0.999521 | − | 0.0309342i | \(-0.00984824\pi\) | |||||||
\(348\) | 0.0889052 | + | 3.72060i | 0.00476582 | + | 0.199445i | ||||
\(349\) | −24.3032 | − | 14.0315i | −1.30092 | − | 0.751087i | −0.320359 | − | 0.947296i | \(-0.603803\pi\) |
−0.980562 | + | 0.196209i | \(0.937137\pi\) | |||||||
\(350\) | −7.66581 | + | 13.6516i | −0.409755 | + | 0.729709i | ||||
\(351\) | −3.55241 | − | 0.616727i | −0.189614 | − | 0.0329184i | ||||
\(352\) | −4.42308 | + | 21.5898i | −0.235751 | + | 1.15074i | ||||
\(353\) | −1.47342 | − | 5.49889i | −0.0784224 | − | 0.292677i | 0.915565 | − | 0.402170i | \(-0.131744\pi\) |
−0.993988 | + | 0.109493i | \(0.965077\pi\) | |||||||
\(354\) | 4.29202 | + | 7.23306i | 0.228118 | + | 0.384433i | ||||
\(355\) | 2.18782 | − | 8.16504i | 0.116117 | − | 0.433356i | ||||
\(356\) | 7.10133 | − | 29.2837i | 0.376370 | − | 1.55203i | ||||
\(357\) | 7.39751 | − | 4.27095i | 0.391518 | − | 0.226043i | ||||
\(358\) | −9.04823 | + | 0.108090i | −0.478214 | + | 0.00571274i | ||||
\(359\) | 22.2817 | + | 22.2817i | 1.17598 | + | 1.17598i | 0.980759 | + | 0.195223i | \(0.0625430\pi\) |
0.195223 | + | 0.980759i | \(0.437457\pi\) | |||||||
\(360\) | 0.338280 | − | 1.47149i | 0.0178289 | − | 0.0775545i | ||||
\(361\) | −7.55548 | + | 13.0865i | −0.397657 | + | 0.688762i | ||||
\(362\) | 9.64498 | + | 16.2541i | 0.506929 | + | 0.854294i | ||||
\(363\) | 2.95405 | − | 2.95405i | 0.155047 | − | 0.155047i | ||||
\(364\) | 2.49682 | − | 16.7466i | 0.130869 | − | 0.877761i | ||||
\(365\) | −1.97625 | − | 1.97625i | −0.103442 | − | 0.103442i | ||||
\(366\) | −13.9058 | − | 3.54857i | −0.726869 | − | 0.185487i | ||||
\(367\) | −11.3072 | − | 6.52823i | −0.590232 | − | 0.340771i | 0.174957 | − | 0.984576i | \(-0.444021\pi\) |
−0.765189 | + | 0.643805i | \(0.777355\pi\) | |||||||
\(368\) | −0.289432 | − | 6.05277i | −0.0150877 | − | 0.315522i | ||||
\(369\) | 1.64045 | − | 1.64045i | 0.0853984 | − | 0.0853984i | ||||
\(370\) | 5.71042 | + | 5.57560i | 0.296871 | + | 0.289862i | ||||
\(371\) | 10.8045 | + | 18.7139i | 0.560941 | + | 0.971578i | ||||
\(372\) | −15.0330 | + | 9.16500i | −0.779427 | + | 0.475183i | ||||
\(373\) | 14.2057 | + | 3.80642i | 0.735546 | + | 0.197089i | 0.607098 | − | 0.794627i | \(-0.292334\pi\) |
0.128448 | + | 0.991716i | \(0.459000\pi\) | |||||||
\(374\) | 19.4211 | + | 4.95600i | 1.00424 | + | 0.256269i | ||||
\(375\) | 5.00939 | − | 1.34226i | 0.258684 | − | 0.0693141i | ||||
\(376\) | −32.6304 | + | 1.16985i | −1.68278 | + | 0.0603305i | ||||
\(377\) | 4.29909 | − | 5.15100i | 0.221415 | − | 0.265290i | ||||
\(378\) | −3.19694 | + | 0.897682i | −0.164433 | + | 0.0461718i | ||||
\(379\) | −10.5370 | + | 18.2507i | −0.541251 | + | 0.937474i | 0.457582 | + | 0.889168i | \(0.348716\pi\) |
−0.998833 | + | 0.0483063i | \(0.984618\pi\) | |||||||
\(380\) | 0.0502965 | + | 2.10486i | 0.00258016 | + | 0.107977i | ||||
\(381\) | 2.34355 | + | 0.627953i | 0.120064 | + | 0.0321710i | ||||
\(382\) | 13.2501 | − | 3.72056i | 0.677936 | − | 0.190360i | ||||
\(383\) | 1.86734 | − | 6.96900i | 0.0954166 | − | 0.356099i | −0.901666 | − | 0.432434i | \(-0.857655\pi\) |
0.997082 | + | 0.0763343i | \(0.0243216\pi\) | |||||||
\(384\) | 11.2742 | − | 0.944927i | 0.575333 | − | 0.0482206i | ||||
\(385\) | −3.45289 | − | 3.45289i | −0.175976 | − | 0.175976i | ||||
\(386\) | 13.1100 | − | 0.156611i | 0.667279 | − | 0.00797131i | ||||
\(387\) | −0.913123 | + | 0.244670i | −0.0464166 | + | 0.0124373i | ||||
\(388\) | 3.30438 | + | 3.15015i | 0.167754 | + | 0.159924i | ||||
\(389\) | 11.1696 | + | 11.1696i | 0.566320 | + | 0.566320i | 0.931096 | − | 0.364775i | \(-0.118854\pi\) |
−0.364775 | + | 0.931096i | \(0.618854\pi\) | |||||||
\(390\) | −2.20670 | + | 1.59361i | −0.111741 | + | 0.0806955i | ||||
\(391\) | −5.51119 | −0.278713 | ||||||||
\(392\) | 1.23330 | + | 4.02058i | 0.0622913 | + | 0.203070i | ||||
\(393\) | 13.5982 | + | 7.85094i | 0.685940 | + | 0.396027i | ||||
\(394\) | 25.5243 | + | 24.9217i | 1.28589 | + | 1.25553i | ||||
\(395\) | −0.207429 | −0.0104369 | ||||||||
\(396\) | −6.83895 | − | 3.73354i | −0.343670 | − | 0.187618i | ||||
\(397\) | 32.3156 | − | 18.6574i | 1.62187 | − | 0.936389i | 0.635455 | − | 0.772138i | \(-0.280813\pi\) |
0.986419 | − | 0.164251i | \(-0.0525207\pi\) | |||||||
\(398\) | 5.40117 | − | 1.51661i | 0.270736 | − | 0.0760210i | ||||
\(399\) | 4.01006 | − | 2.31521i | 0.200754 | − | 0.115906i | ||||
\(400\) | 10.1994 | + | 15.8643i | 0.509972 | + | 0.793215i | ||||
\(401\) | −25.7203 | + | 6.89174i | −1.28441 | + | 0.344157i | −0.835535 | − | 0.549437i | \(-0.814842\pi\) |
−0.448876 | + | 0.893594i | \(0.648175\pi\) | |||||||
\(402\) | 1.79436 | − | 3.19548i | 0.0894947 | − | 0.159376i | ||||
\(403\) | 31.2728 | + | 5.42920i | 1.55781 | + | 0.270448i | ||||
\(404\) | −1.71882 | − | 0.416816i | −0.0855146 | − | 0.0207374i | ||||
\(405\) | 0.462303 | + | 0.266911i | 0.0229720 | + | 0.0132629i | ||||
\(406\) | 1.52785 | − | 5.98718i | 0.0758257 | − | 0.297139i | ||||
\(407\) | 35.6680 | − | 20.5929i | 1.76800 | − | 1.02075i | ||||
\(408\) | −0.368664 | − | 10.2830i | −0.0182516 | − | 0.509086i | ||||
\(409\) | −7.10682 | + | 26.5230i | −0.351410 | + | 1.31148i | 0.533533 | + | 0.845779i | \(0.320864\pi\) |
−0.884943 | + | 0.465699i | \(0.845803\pi\) | |||||||
\(410\) | −0.0209209 | − | 1.75129i | −0.00103321 | − | 0.0864901i | ||||
\(411\) | 1.45079i | 0.0715620i | ||||||||
\(412\) | 12.3243 | − | 22.5752i | 0.607175 | − | 1.11220i | ||||
\(413\) | −3.61417 | − | 13.4883i | −0.177842 | − | 0.663715i | ||||
\(414\) | 2.07590 | + | 0.529740i | 0.102025 | + | 0.0260353i | ||||
\(415\) | −6.74613 | −0.331154 | ||||||||
\(416\) | −16.4110 | − | 12.1111i | −0.804617 | − | 0.593794i | ||||
\(417\) | −13.8269 | −0.677108 | ||||||||
\(418\) | 10.5278 | + | 2.68656i | 0.514933 | + | 0.131404i | ||||
\(419\) | 1.27861 | + | 4.77184i | 0.0624643 | + | 0.233120i | 0.990099 | − | 0.140368i | \(-0.0448285\pi\) |
−0.927635 | + | 0.373488i | \(0.878162\pi\) | |||||||
\(420\) | −1.20120 | + | 2.20031i | −0.0586125 | + | 0.107364i | ||||
\(421\) | 22.5927i | 1.10110i | 0.834802 | + | 0.550550i | \(0.185582\pi\) | ||||
−0.834802 | + | 0.550550i | \(0.814418\pi\) | |||||||
\(422\) | −0.399669 | − | 33.4563i | −0.0194556 | − | 1.62863i | ||||
\(423\) | 2.98781 | − | 11.1506i | 0.145272 | − | 0.542163i | ||||
\(424\) | 26.0136 | − | 0.932630i | 1.26333 | − | 0.0452925i | ||||
\(425\) | 14.8549 | − | 8.57651i | 0.720571 | − | 0.416022i | ||||
\(426\) | −5.53722 | + | 21.6987i | −0.268279 | + | 1.05131i | ||||
\(427\) | 20.6353 | + | 11.9138i | 0.998612 | + | 0.576549i | ||||
\(428\) | 31.5149 | + | 7.64239i | 1.52333 | + | 0.369409i | ||||
\(429\) | 4.83906 | + | 13.1868i | 0.233632 | + | 0.636667i | ||||
\(430\) | −0.349426 | + | 0.622274i | −0.0168508 | + | 0.0300087i | ||||
\(431\) | 11.2716 | − | 3.02022i | 0.542934 | − | 0.145479i | 0.0230797 | − | 0.999734i | \(-0.492653\pi\) |
0.519854 | + | 0.854255i | \(0.325986\pi\) | |||||||
\(432\) | −0.849551 | + | 3.90874i | −0.0408740 | + | 0.188059i | ||||
\(433\) | 24.2127 | − | 13.9792i | 1.16359 | − | 0.671797i | 0.211425 | − | 0.977394i | \(-0.432190\pi\) |
0.952161 | + | 0.305598i | \(0.0988562\pi\) | |||||||
\(434\) | 28.1435 | − | 7.90253i | 1.35093 | − | 0.379334i | ||||
\(435\) | −0.860269 | + | 0.496676i | −0.0412467 | + | 0.0238138i | ||||
\(436\) | 4.31840 | + | 2.35752i | 0.206814 | + | 0.112905i | ||||
\(437\) | −2.98752 | −0.142913 | ||||||||
\(438\) | 5.29770 | + | 5.17262i | 0.253134 | + | 0.247157i | ||||
\(439\) | 1.47017 | + | 0.848802i | 0.0701673 | + | 0.0405111i | 0.534673 | − | 0.845059i | \(-0.320435\pi\) |
−0.464506 | + | 0.885570i | \(0.653768\pi\) | |||||||
\(440\) | −5.62363 | + | 1.72503i | −0.268096 | + | 0.0822377i | ||||
\(441\) | −1.48686 | −0.0708031 | ||||||||
\(442\) | −11.7152 | + | 14.3824i | −0.557234 | + | 0.684103i | ||||
\(443\) | 9.20791 | + | 9.20791i | 0.437481 | + | 0.437481i | 0.891163 | − | 0.453683i | \(-0.149890\pi\) |
−0.453683 | + | 0.891163i | \(0.649890\pi\) | |||||||
\(444\) | −15.3035 | − | 14.5892i | −0.726274 | − | 0.692375i | ||||
\(445\) | 7.76863 | − | 2.08160i | 0.368268 | − | 0.0986772i | ||||
\(446\) | −9.09024 | + | 0.108592i | −0.430435 | + | 0.00514198i | ||||
\(447\) | 2.96153 | + | 2.96153i | 0.140076 | + | 0.140076i | ||||
\(448\) | −18.4456 | − | 3.54988i | −0.871471 | − | 0.167716i | ||||
\(449\) | 5.48227 | − | 20.4601i | 0.258724 | − | 0.965572i | −0.707256 | − | 0.706957i | \(-0.750067\pi\) |
0.965980 | − | 0.258615i | \(-0.0832661\pi\) | |||||||
\(450\) | −6.41978 | + | 1.80264i | −0.302631 | + | 0.0849771i | ||||
\(451\) | −8.73020 | − | 2.33925i | −0.411089 | − | 0.110151i | ||||
\(452\) | −0.525038 | − | 21.9723i | −0.0246957 | − | 1.03349i | ||||
\(453\) | −8.67776 | + | 15.0303i | −0.407717 | + | 0.706186i | ||||
\(454\) | −10.7330 | + | 3.01375i | −0.503723 | + | 0.141443i | ||||
\(455\) | 4.24262 | − | 1.55688i | 0.198897 | − | 0.0729876i | ||||
\(456\) | −0.199846 | − | 5.57426i | −0.00935866 | − | 0.261039i | ||||
\(457\) | −23.3623 | + | 6.25990i | −1.09284 | + | 0.292826i | −0.759846 | − | 0.650103i | \(-0.774726\pi\) |
−0.332995 | + | 0.942929i | \(0.608059\pi\) | |||||||
\(458\) | 18.9549 | + | 4.83704i | 0.885706 | + | 0.226020i | ||||
\(459\) | 3.51398 | + | 0.941568i | 0.164019 | + | 0.0439486i | ||||
\(460\) | 1.38099 | − | 0.841928i | 0.0643889 | − | 0.0392551i | ||||
\(461\) | −14.9547 | − | 25.9023i | −0.696511 | − | 1.20639i | −0.969669 | − | 0.244423i | \(-0.921401\pi\) |
0.273158 | − | 0.961969i | \(-0.411932\pi\) | |||||||
\(462\) | 9.25610 | + | 9.03756i | 0.430633 | + | 0.420465i | ||||
\(463\) | −14.2329 | + | 14.2329i | −0.661460 | + | 0.661460i | −0.955724 | − | 0.294264i | \(-0.904926\pi\) |
0.294264 | + | 0.955724i | \(0.404926\pi\) | |||||||
\(464\) | −5.50861 | − | 5.00583i | −0.255731 | − | 0.232390i | ||||
\(465\) | −4.06978 | − | 2.34969i | −0.188731 | − | 0.108964i | ||||
\(466\) | −19.4631 | − | 4.96672i | −0.901611 | − | 0.230079i | ||||
\(467\) | −12.3341 | − | 12.3341i | −0.570753 | − | 0.570753i | 0.361586 | − | 0.932339i | \(-0.382235\pi\) |
−0.932339 | + | 0.361586i | \(0.882235\pi\) | |||||||
\(468\) | 5.79520 | − | 4.29135i | 0.267883 | − | 0.198368i | ||||
\(469\) | −4.30250 | + | 4.30250i | −0.198671 | + | 0.198671i | ||||
\(470\) | −4.44735 | − | 7.49482i | −0.205141 | − | 0.345710i | ||||
\(471\) | −2.39348 | + | 4.14563i | −0.110286 | + | 0.191021i | ||||
\(472\) | −16.3936 | − | 3.76872i | −0.754578 | − | 0.173469i | ||||
\(473\) | 2.60419 | + | 2.60419i | 0.119741 | + | 0.119741i | ||||
\(474\) | 0.549485 | − | 0.00656415i | 0.0252387 | − | 0.000301501i | ||||
\(475\) | 8.05261 | − | 4.64918i | 0.369479 | − | 0.213319i | ||||
\(476\) | −4.02615 | + | 16.6026i | −0.184538 | + | 0.760980i | ||||
\(477\) | −2.38194 | + | 8.88952i | −0.109062 | + | 0.407023i | ||||
\(478\) | 15.8876 | + | 26.7744i | 0.726684 | + | 1.22463i | ||||
\(479\) | 2.10903 | + | 7.87103i | 0.0963643 | + | 0.359636i | 0.997223 | − | 0.0744765i | \(-0.0237286\pi\) |
−0.900859 | + | 0.434113i | \(0.857062\pi\) | |||||||
\(480\) | 1.66329 | + | 2.52039i | 0.0759184 | + | 0.115040i | ||||
\(481\) | 3.42228 | + | 37.9629i | 0.156043 | + | 1.73096i | ||||
\(482\) | 20.9985 | − | 37.3951i | 0.956456 | − | 1.70330i | ||||
\(483\) | −3.08049 | − | 1.77852i | −0.140167 | − | 0.0809255i | ||||
\(484\) | 0.199596 | + | 8.35292i | 0.00907256 | + | 0.379678i | ||||
\(485\) | −0.315381 | + | 1.17702i | −0.0143207 | + | 0.0534457i | ||||
\(486\) | −1.23310 | − | 0.692427i | −0.0559347 | − | 0.0314091i | ||||
\(487\) | −6.85958 | − | 1.83802i | −0.310837 | − | 0.0832886i | 0.100028 | − | 0.994985i | \(-0.468107\pi\) |
−0.410865 | + | 0.911696i | \(0.634773\pi\) | |||||||
\(488\) | 24.3273 | − | 15.2328i | 1.10124 | − | 0.689558i | ||||
\(489\) | 9.18219 | − | 9.18219i | 0.415233 | − | 0.415233i | ||||
\(490\) | −0.784183 | + | 0.803146i | −0.0354258 | + | 0.0362824i | ||||
\(491\) | −2.81287 | − | 10.4978i | −0.126943 | − | 0.473758i | 0.872958 | − | 0.487795i | \(-0.162199\pi\) |
−0.999901 | + | 0.0140366i | \(0.995532\pi\) | |||||||
\(492\) | 0.110840 | + | 4.63857i | 0.00499707 | + | 0.209123i | ||||
\(493\) | −4.78682 | + | 4.78682i | −0.215588 | + | 0.215588i | ||||
\(494\) | −6.35059 | + | 7.79648i | −0.285727 | + | 0.350780i | ||||
\(495\) | − | 2.07969i | − | 0.0934751i | ||||||
\(496\) | 7.47882 | − | 34.4097i | 0.335809 | − | 1.54504i | ||||
\(497\) | 18.5904 | − | 32.1994i | 0.833891 | − | 1.44434i | ||||
\(498\) | 17.8707 | − | 0.213484i | 0.800806 | − | 0.00956643i | ||||
\(499\) | 2.67017i | 0.119533i | 0.998212 | + | 0.0597665i | \(0.0190356\pi\) | ||||
−0.998212 | + | 0.0597665i | \(0.980964\pi\) | |||||||
\(500\) | −4.97004 | + | 9.10391i | −0.222267 | + | 0.407139i | ||||
\(501\) | −5.23104 | − | 9.06042i | −0.233705 | − | 0.404790i | ||||
\(502\) | 6.03637 | + | 3.38961i | 0.269416 | + | 0.151286i | ||||
\(503\) | −18.1620 | − | 31.4575i | −0.809804 | − | 1.40262i | −0.912999 | − | 0.407961i | \(-0.866240\pi\) |
0.103195 | − | 0.994661i | \(-0.467093\pi\) | |||||||
\(504\) | 3.11239 | − | 5.86670i | 0.138637 | − | 0.261323i | ||||
\(505\) | −0.122181 | − | 0.455984i | −0.00543696 | − | 0.0202910i | ||||
\(506\) | −2.25640 | − | 8.03577i | −0.100309 | − | 0.357234i | ||||
\(507\) | −12.9563 | − | 1.06467i | −0.575411 | − | 0.0472836i | ||||
\(508\) | −4.14319 | + | 2.52592i | −0.183824 | + | 0.112070i | ||||
\(509\) | −12.0932 | + | 20.9460i | −0.536022 | + | 0.928417i | 0.463091 | + | 0.886311i | \(0.346740\pi\) |
−0.999113 | + | 0.0421063i | \(0.986593\pi\) | |||||||
\(510\) | 2.36190 | − | 1.40152i | 0.104587 | − | 0.0620605i | ||||
\(511\) | −6.14653 | − | 10.6461i | −0.271907 | − | 0.470956i | ||||
\(512\) | −14.1908 | + | 17.6245i | −0.627150 | + | 0.778898i | ||||
\(513\) | 1.90487 | + | 0.510408i | 0.0841020 | + | 0.0225351i | ||||
\(514\) | −3.84286 | − | 3.75213i | −0.169501 | − | 0.165499i | ||||
\(515\) | 6.86500 | 0.302508 | ||||||||
\(516\) | 0.905950 | − | 1.65948i | 0.0398822 | − | 0.0730546i | ||||
\(517\) | −43.4412 | + | 11.6400i | −1.91054 | + | 0.511928i | ||||
\(518\) | 17.9140 | + | 30.1893i | 0.787097 | + | 1.32644i | ||||
\(519\) | 0.724632i | 0.0318078i | ||||||||
\(520\) | 0.738409 | − | 5.39363i | 0.0323814 | − | 0.236526i | ||||
\(521\) | − | 23.6753i | − | 1.03723i | −0.855007 | − | 0.518617i | \(-0.826447\pi\) | ||
0.855007 | − | 0.518617i | \(-0.173553\pi\) | |||||||
\(522\) | 2.26316 | − | 1.34294i | 0.0990560 | − | 0.0587787i | ||||
\(523\) | 3.67223 | − | 0.983972i | 0.160576 | − | 0.0430261i | −0.177636 | − | 0.984096i | \(-0.556845\pi\) |
0.338211 | + | 0.941070i | \(0.390178\pi\) | |||||||
\(524\) | −30.1309 | + | 8.85020i | −1.31627 | + | 0.386623i | ||||
\(525\) | 11.0709 | 0.483175 | ||||||||
\(526\) | −11.5534 | + | 11.8327i | −0.503751 | + | 0.515932i | ||||
\(527\) | −30.9345 | − | 8.28887i | −1.34753 | − | 0.361069i | ||||
\(528\) | 14.8426 | − | 4.74763i | 0.645941 | − | 0.206614i | ||||
\(529\) | −10.3525 | − | 17.9311i | −0.450109 | − | 0.779612i | ||||
\(530\) | 3.54552 | + | 5.97503i | 0.154007 | + | 0.259539i | ||||
\(531\) | 2.97361 | − | 5.15044i | 0.129044 | − | 0.223510i | ||||
\(532\) | −2.18251 | + | 8.99999i | −0.0946237 | + | 0.390199i | ||||
\(533\) | 5.35979 | − | 6.42189i | 0.232158 | − | 0.278163i | ||||
\(534\) | −20.5135 | + | 5.76007i | −0.887706 | + | 0.249262i | ||||
\(535\) | 2.24020 | + | 8.36054i | 0.0968523 | + | 0.361458i | ||||
\(536\) | 2.14949 | + | 7.00736i | 0.0928439 | + | 0.302672i | ||||
\(537\) | 3.19926 | + | 5.54128i | 0.138058 | + | 0.239124i | ||||
\(538\) | −10.6442 | + | 18.9557i | −0.458906 | + | 0.817240i | ||||
\(539\) | 2.89630 | + | 5.01654i | 0.124753 | + | 0.216078i | ||||
\(540\) | −1.02437 | + | 0.300883i | −0.0440818 | + | 0.0129480i | ||||
\(541\) | 1.42522i | 0.0612750i | 0.999531 | + | 0.0306375i | \(0.00975374\pi\) | ||||
−0.999531 | + | 0.0306375i | \(0.990246\pi\) | |||||||
\(542\) | 0.137216 | + | 11.4863i | 0.00589392 | + | 0.493380i | ||||
\(543\) | 6.68225 | − | 11.5740i | 0.286763 | − | 0.496688i | ||||
\(544\) | 15.3944 | + | 13.6572i | 0.660031 | + | 0.585547i | ||||
\(545\) | 1.31320i | 0.0562515i | ||||||||
\(546\) | −11.1896 | + | 4.25848i | −0.478870 | + | 0.182246i | ||||
\(547\) | 19.1963 | − | 19.1963i | 0.820777 | − | 0.820777i | −0.165443 | − | 0.986219i | \(-0.552905\pi\) |
0.986219 | + | 0.165443i | \(0.0529053\pi\) | |||||||
\(548\) | −2.10015 | − | 2.00212i | −0.0897139 | − | 0.0855265i | ||||
\(549\) | 2.62650 | + | 9.80222i | 0.112096 | + | 0.418349i | ||||
\(550\) | 18.5872 | + | 18.1483i | 0.792560 | + | 0.773848i | ||||
\(551\) | −2.59486 | + | 2.59486i | −0.110545 | + | 0.110545i | ||||
\(552\) | −3.63164 | + | 2.27400i | −0.154573 | + | 0.0967878i | ||||
\(553\) | −0.881283 | − | 0.236139i | −0.0374760 | − | 0.0100417i | ||||
\(554\) | −13.1449 | + | 23.4090i | −0.558473 | + | 0.994554i | ||||
\(555\) | 1.46062 | − | 5.45112i | 0.0620000 | − | 0.231387i | ||||
\(556\) | 19.0815 | − | 20.0158i | 0.809237 | − | 0.848858i | ||||
\(557\) | 13.2980 | + | 7.67760i | 0.563454 | + | 0.325311i | 0.754531 | − | 0.656265i | \(-0.227864\pi\) |
−0.191076 | + | 0.981575i | \(0.561198\pi\) | |||||||
\(558\) | 10.8553 | + | 6.09561i | 0.459543 | + | 0.258048i | ||||
\(559\) | −3.19981 | + | 1.17421i | −0.135337 | + | 0.0496636i | ||||
\(560\) | −1.52746 | − | 4.77533i | −0.0645471 | − | 0.201794i | ||||
\(561\) | −3.66821 | − | 13.6899i | −0.154872 | − | 0.577990i | ||||
\(562\) | −25.0678 | + | 14.8749i | −1.05742 | + | 0.627461i | ||||
\(563\) | −3.82358 | + | 14.2698i | −0.161145 | + | 0.601400i | 0.837356 | + | 0.546658i | \(0.184100\pi\) |
−0.998501 | + | 0.0547417i | \(0.982566\pi\) | |||||||
\(564\) | 12.0183 | + | 19.7133i | 0.506064 | + | 0.830080i | ||||
\(565\) | 5.08039 | − | 2.93317i | 0.213734 | − | 0.123399i | ||||
\(566\) | 0.0885334 | + | 7.41114i | 0.00372134 | + | 0.311514i | ||||
\(567\) | 1.66029 | + | 1.66029i | 0.0697257 | + | 0.0697257i | ||||
\(568\) | −23.7694 | − | 37.9604i | −0.997343 | − | 1.59278i | ||||
\(569\) | −1.72345 | + | 2.98511i | −0.0722509 | + | 0.125142i | −0.899887 | − | 0.436122i | \(-0.856352\pi\) |
0.827637 | + | 0.561264i | \(0.189685\pi\) | |||||||
\(570\) | 1.28034 | − | 0.759742i | 0.0536277 | − | 0.0318221i | ||||
\(571\) | −9.88364 | + | 9.88364i | −0.413618 | + | 0.413618i | −0.882997 | − | 0.469379i | \(-0.844478\pi\) |
0.469379 | + | 0.882997i | \(0.344478\pi\) | |||||||
\(572\) | −25.7672 | − | 11.1932i | −1.07738 | − | 0.468011i | ||||
\(573\) | −6.88129 | − | 6.88129i | −0.287470 | − | 0.287470i | ||||
\(574\) | 1.90480 | − | 7.46437i | 0.0795050 | − | 0.311557i | ||||
\(575\) | −6.18593 | − | 3.57145i | −0.257971 | − | 0.148940i | ||||
\(576\) | −4.48587 | − | 6.62397i | −0.186911 | − | 0.275999i | ||||
\(577\) | −21.1231 | + | 21.1231i | −0.879364 | + | 0.879364i | −0.993469 | − | 0.114104i | \(-0.963600\pi\) |
0.114104 | + | 0.993469i | \(0.463600\pi\) | |||||||
\(578\) | −3.72014 | + | 3.81010i | −0.154738 | + | 0.158479i | ||||
\(579\) | −4.63540 | − | 8.02875i | −0.192641 | − | 0.333663i | ||||
\(580\) | 0.468208 | − | 1.93075i | 0.0194413 | − | 0.0801699i | ||||
\(581\) | −28.6617 | − | 7.67987i | −1.18909 | − | 0.318615i | ||||
\(582\) | 0.798209 | − | 3.12794i | 0.0330868 | − | 0.129657i | ||||
\(583\) | 34.6322 | − | 9.27968i | 1.43432 | − | 0.384325i | ||||
\(584\) | −14.7988 | + | 0.530561i | −0.612379 | + | 0.0219548i | ||||
\(585\) | 1.74653 | + | 0.808817i | 0.0722102 | + | 0.0334405i | ||||
\(586\) | −0.606592 | − | 2.16028i | −0.0250581 | − | 0.0892402i | ||||
\(587\) | −13.6443 | + | 23.6326i | −0.563159 | + | 0.975420i | 0.434059 | + | 0.900884i | \(0.357081\pi\) |
−0.997218 | + | 0.0745356i | \(0.976253\pi\) | |||||||
\(588\) | 2.05191 | − | 2.15238i | 0.0846194 | − | 0.0887625i | ||||
\(589\) | −16.7691 | − | 4.49325i | −0.690957 | − | 0.185141i | ||||
\(590\) | −1.21376 | − | 4.32260i | −0.0499697 | − | 0.177959i | ||||
\(591\) | 6.52865 | − | 24.3653i | 0.268553 | − | 1.00225i | ||||
\(592\) | 42.2386 | − | 2.01977i | 1.73600 | − | 0.0830120i | ||||
\(593\) | −17.0037 | − | 17.0037i | −0.698259 | − | 0.698259i | 0.265776 | − | 0.964035i | \(-0.414372\pi\) |
−0.964035 | + | 0.265776i | \(0.914372\pi\) | |||||||
\(594\) | 0.0658125 | + | 5.50917i | 0.00270032 | + | 0.226044i | ||||
\(595\) | −4.40448 | + | 1.18018i | −0.180566 | + | 0.0483826i | ||||
\(596\) | −8.37408 | + | 0.200102i | −0.343016 | + | 0.00819650i | ||||
\(597\) | −2.80503 | − | 2.80503i | −0.114802 | − | 0.114802i | ||||
\(598\) | 7.62601 | + | 1.23028i | 0.311851 | + | 0.0503100i | ||||
\(599\) | −3.28310 | −0.134144 | −0.0670719 | − | 0.997748i | \(-0.521366\pi\) | ||||
−0.0670719 | + | 0.997748i | \(0.521366\pi\) | |||||||
\(600\) | 6.24998 | − | 11.7809i | 0.255155 | − | 0.480954i | ||||
\(601\) | −21.4370 | − | 12.3767i | −0.874433 | − | 0.504854i | −0.00561426 | − | 0.999984i | \(-0.501787\pi\) |
−0.868819 | + | 0.495130i | \(0.835120\pi\) | |||||||
\(602\) | −2.19298 | + | 2.24601i | −0.0893791 | + | 0.0915404i | ||||
\(603\) | −2.59141 | −0.105531 | ||||||||
\(604\) | −9.78226 | − | 33.3041i | −0.398035 | − | 1.35513i | ||||
\(605\) | −1.93134 | + | 1.11506i | −0.0785202 | + | 0.0453337i | ||||
\(606\) | 0.338090 | + | 1.20405i | 0.0137340 | + | 0.0489112i | ||||
\(607\) | −9.39899 | + | 5.42651i | −0.381493 | + | 0.220255i | −0.678468 | − | 0.734630i | \(-0.737356\pi\) |
0.296975 | + | 0.954885i | \(0.404022\pi\) | |||||||
\(608\) | 8.34506 | + | 7.40333i | 0.338437 | + | 0.300245i | ||||
\(609\) | −4.22037 | + | 1.13084i | −0.171018 | + | 0.0458241i | ||||
\(610\) | 6.68001 | + | 3.75103i | 0.270466 | + | 0.151875i | ||||
\(611\) | 7.11949 | − | 41.0090i | 0.288024 | − | 1.65905i | ||||
\(612\) | −6.21239 | + | 3.78743i | −0.251121 | + | 0.153098i | ||||
\(613\) | −15.6438 | − | 9.03197i | −0.631849 | − | 0.364798i | 0.149619 | − | 0.988744i | \(-0.452195\pi\) |
−0.781468 | + | 0.623946i | \(0.785529\pi\) | |||||||
\(614\) | 27.9577 | + | 7.13443i | 1.12828 | + | 0.287922i | ||||
\(615\) | −1.07252 | + | 0.619219i | −0.0432481 | + | 0.0249693i | ||||
\(616\) | −25.8564 | + | 0.926993i | −1.04178 | + | 0.0373496i | ||||
\(617\) | 7.72467 | − | 28.8289i | 0.310984 | − | 1.16061i | −0.616687 | − | 0.787208i | \(-0.711526\pi\) |
0.927671 | − | 0.373399i | \(-0.121808\pi\) | |||||||
\(618\) | −18.1856 | + | 0.217245i | −0.731532 | + | 0.00873888i | ||||
\(619\) | − | 7.86671i | − | 0.316190i | −0.987424 | − | 0.158095i | \(-0.949465\pi\) | ||
0.987424 | − | 0.158095i | \(-0.0505352\pi\) | |||||||
\(620\) | 9.01779 | − | 2.64875i | 0.362163 | − | 0.106376i | ||||
\(621\) | −0.392090 | − | 1.46330i | −0.0157340 | − | 0.0587202i | ||||
\(622\) | −4.84015 | + | 18.9671i | −0.194072 | + | 0.760512i | ||||
\(623\) | 35.3756 | 1.41729 | ||||||||
\(624\) | −1.78539 | + | 14.3113i | −0.0714727 | + | 0.572909i | ||||
\(625\) | 20.8067 | 0.832269 | ||||||||
\(626\) | −7.93257 | + | 31.0854i | −0.317049 | + | 1.24242i | ||||
\(627\) | −1.98847 | − | 7.42108i | −0.0794120 | − | 0.296369i | ||||
\(628\) | −2.69812 | − | 9.18587i | −0.107667 | − | 0.366556i | ||||
\(629\) | − | 38.4593i | − | 1.53347i | ||||||
\(630\) | 1.77247 | − | 0.0211740i | 0.0706170 | − | 0.000843591i | ||||
\(631\) | 1.87195 | − | 6.98622i | 0.0745213 | − | 0.278117i | −0.918603 | − | 0.395182i | \(-0.870682\pi\) |
0.993124 | + | 0.117064i | \(0.0373484\pi\) | |||||||
\(632\) | −0.748802 | + | 0.804490i | −0.0297858 | + | 0.0320009i | ||||
\(633\) | −20.4892 | + | 11.8294i | −0.814373 | + | 0.470178i | ||||
\(634\) | −0.840452 | − | 0.214472i | −0.0333786 | − | 0.00851777i | ||||
\(635\) | −1.12165 | − | 0.647586i | −0.0445114 | − | 0.0256987i | ||||
\(636\) | −9.58127 | − | 15.7159i | −0.379922 | − | 0.623174i | ||||
\(637\) | −5.33932 | + | 0.481329i | −0.211551 | + | 0.0190709i | ||||
\(638\) | −8.93941 | − | 5.01976i | −0.353915 | − | 0.198734i | ||||
\(639\) | 15.2954 | − | 4.09840i | 0.605078 | − | 0.162130i | ||||
\(640\) | −5.94389 | − | 1.07044i | −0.234953 | − | 0.0423130i | ||||
\(641\) | −26.8343 | + | 15.4928i | −1.05989 | + | 0.611929i | −0.925402 | − | 0.378986i | \(-0.876273\pi\) |
−0.134490 | + | 0.990915i | \(0.542940\pi\) | |||||||
\(642\) | −6.19894 | − | 22.0765i | −0.244653 | − | 0.871288i | ||||
\(643\) | 20.3386 | − | 11.7425i | 0.802076 | − | 0.463079i | −0.0421203 | − | 0.999113i | \(-0.513411\pi\) |
0.844197 | + | 0.536034i | \(0.180078\pi\) | |||||||
\(644\) | 6.82573 | − | 2.00489i | 0.268972 | − | 0.0790037i | ||||
\(645\) | 0.504640 | 0.0198702 | ||||||||
\(646\) | 7.08804 | − | 7.25944i | 0.278875 | − | 0.285619i | ||||
\(647\) | −11.3945 | − | 6.57864i | −0.447966 | − | 0.258633i | 0.259005 | − | 0.965876i | \(-0.416605\pi\) |
−0.706971 | + | 0.707243i | \(0.749939\pi\) | |||||||
\(648\) | 2.70407 | − | 0.829466i | 0.106226 | − | 0.0325845i | ||||
\(649\) | −23.1694 | −0.909480 | ||||||||
\(650\) | −22.4698 | + | 8.55146i | −0.881339 | + | 0.335416i | ||||
\(651\) | −14.6160 | − | 14.6160i | −0.572845 | − | 0.572845i | ||||
\(652\) | 0.620414 | + | 25.9637i | 0.0242973 | + | 1.01682i | ||||
\(653\) | 25.2364 | − | 6.76207i | 0.987576 | − | 0.264620i | 0.271344 | − | 0.962482i | \(-0.412532\pi\) |
0.716232 | + | 0.697862i | \(0.245865\pi\) | |||||||
\(654\) | −0.0415568 | − | 3.47872i | −0.00162500 | − | 0.136029i | ||||
\(655\) | −5.92697 | − | 5.92697i | −0.231586 | − | 0.231586i | ||||
\(656\) | −6.86772 | − | 6.24090i | −0.268140 | − | 0.243666i | ||||
\(657\) | 1.35506 | − | 5.05714i | 0.0528658 | − | 0.197298i | ||||
\(658\) | −10.3628 | − | 36.9055i | −0.403985 | − | 1.43873i | ||||
\(659\) | −26.3727 | − | 7.06653i | −1.02733 | − | 0.275273i | −0.294478 | − | 0.955658i | \(-0.595146\pi\) |
−0.732855 | + | 0.680385i | \(0.761813\pi\) | |||||||
\(660\) | 3.01055 | + | 2.87003i | 0.117185 | + | 0.111716i | ||||
\(661\) | 2.95627 | − | 5.12042i | 0.114986 | − | 0.199161i | −0.802788 | − | 0.596264i | \(-0.796651\pi\) |
0.917774 | + | 0.397103i | \(0.129984\pi\) | |||||||
\(662\) | −12.5437 | − | 44.6724i | −0.487526 | − | 1.73624i | ||||
\(663\) | 12.9235 | + | 2.24361i | 0.501906 | + | 0.0871348i | ||||
\(664\) | −24.3530 | + | 26.1642i | −0.945081 | + | 1.01537i | ||||
\(665\) | −2.38760 | + | 0.639754i | −0.0925870 | + | 0.0248086i | ||||
\(666\) | −3.69674 | + | 14.4864i | −0.143246 | + | 0.561337i | ||||
\(667\) | 2.72296 | + | 0.729614i | 0.105433 | + | 0.0282508i | ||||
\(668\) | 20.3348 | + | 4.93120i | 0.786776 | + | 0.190794i | ||||
\(669\) | 3.21411 | + | 5.56701i | 0.124265 | + | 0.215233i | ||||
\(670\) | −1.36673 | + | 1.39978i | −0.0528014 | + | 0.0540782i | ||||
\(671\) | 27.9556 | − | 27.9556i | 1.07921 | − | 1.07921i | ||||
\(672\) | 4.19742 | + | 12.6017i | 0.161919 | + | 0.486120i | ||||
\(673\) | −21.3547 | − | 12.3292i | −0.823165 | − | 0.475254i | 0.0283417 | − | 0.999598i | \(-0.490977\pi\) |
−0.851507 | + | 0.524344i | \(0.824311\pi\) | |||||||
\(674\) | −4.93993 | + | 19.3581i | −0.190279 | + | 0.745647i | ||||
\(675\) | 3.33403 | + | 3.33403i | 0.128327 | + | 0.128327i | ||||
\(676\) | 19.4213 | − | 17.2862i | 0.746973 | − | 0.664855i | ||||
\(677\) | −19.7288 | + | 19.7288i | −0.758240 | + | 0.758240i | −0.976002 | − | 0.217762i | \(-0.930124\pi\) |
0.217762 | + | 0.976002i | \(0.430124\pi\) | |||||||
\(678\) | −13.3653 | + | 7.93083i | −0.513292 | + | 0.304582i | ||||
\(679\) | −2.67986 | + | 4.64166i | −0.102844 | + | 0.178131i | ||||
\(680\) | −1.23064 | + | 5.35321i | −0.0471930 | + | 0.205286i | ||||
\(681\) | 5.57403 | + | 5.57403i | 0.213597 | + | 0.213597i | ||||
\(682\) | −0.579365 | − | 48.4987i | −0.0221850 | − | 1.85711i | ||||
\(683\) | −9.92922 | + | 5.73264i | −0.379931 | + | 0.219353i | −0.677788 | − | 0.735257i | \(-0.737061\pi\) |
0.297857 | + | 0.954610i | \(0.403728\pi\) | |||||||
\(684\) | −3.36763 | + | 2.05310i | −0.128765 | + | 0.0785022i | ||||
\(685\) | 0.200445 | − | 0.748072i | 0.00765862 | − | 0.0285824i | ||||
\(686\) | −24.2357 | + | 14.3812i | −0.925323 | + | 0.549077i | ||||
\(687\) | −3.58017 | − | 13.3614i | −0.136592 | − | 0.509768i | ||||
\(688\) | 1.15202 | + | 3.60158i | 0.0439204 | + | 0.137309i | ||||
\(689\) | −5.67580 | + | 32.6933i | −0.216231 | + | 1.24551i | ||||
\(690\) | −0.997209 | − | 0.559964i | −0.0379631 | − | 0.0213175i | ||||
\(691\) | −32.4338 | − | 18.7256i | −1.23384 | − | 0.712357i | −0.266011 | − | 0.963970i | \(-0.585706\pi\) |
−0.967828 | + | 0.251613i | \(0.919039\pi\) | |||||||
\(692\) | −1.04897 | − | 1.00001i | −0.0398759 | − | 0.0380147i | ||||
\(693\) | 2.36754 | − | 8.83579i | 0.0899355 | − | 0.335644i | ||||
\(694\) | 7.44437 | − | 13.2573i | 0.282584 | − | 0.503239i | ||||
\(695\) | 7.12961 | + | 1.91037i | 0.270442 | + | 0.0724646i | ||||
\(696\) | −1.17920 | + | 5.12943i | −0.0446975 | + | 0.194430i | ||||
\(697\) | −5.96786 | + | 5.96786i | −0.226049 | + | 0.226049i | ||||
\(698\) | −28.3961 | − | 27.7257i | −1.07481 | − | 1.04943i | ||||
\(699\) | 3.67614 | + | 13.7196i | 0.139045 | + | 0.518921i | ||||
\(700\) | −15.2782 | + | 16.0262i | −0.577461 | + | 0.605734i | ||||
\(701\) | −6.36427 | + | 6.36427i | −0.240375 | + | 0.240375i | −0.817005 | − | 0.576630i | \(-0.804367\pi\) |
0.576630 | + | 0.817005i | \(0.304367\pi\) | |||||||
\(702\) | −4.65222 | − | 2.08732i | −0.175587 | − | 0.0787806i | ||||
\(703\) | − | 20.8481i | − | 0.786301i | ||||||
\(704\) | −13.6105 | + | 28.0379i | −0.512966 | + | 1.05672i | ||||
\(705\) | −3.08122 | + | 5.33683i | −0.116045 | + | 0.200997i | ||||
\(706\) | −0.0961696 | − | 8.05036i | −0.00361939 | − | 0.302979i | ||||
\(707\) | − | 2.07639i | − | 0.0780906i | ||||||
\(708\) | 3.35208 | + | 11.4123i | 0.125979 | + | 0.428901i | ||||
\(709\) | −1.68250 | − | 2.91418i | −0.0631876 | − | 0.109444i | 0.832701 | − | 0.553723i | \(-0.186793\pi\) |
−0.895889 | + | 0.444279i | \(0.853460\pi\) | |||||||
\(710\) | 5.85313 | − | 10.4235i | 0.219664 | − | 0.391188i | ||||
\(711\) | −0.194286 | − | 0.336514i | −0.00728631 | − | 0.0126203i | ||||
\(712\) | 19.9709 | − | 37.6442i | 0.748442 | − | 1.41078i | ||||
\(713\) | 3.45167 | + | 12.8818i | 0.129266 | + | 0.482428i | ||||
\(714\) | 11.6303 | − | 3.26571i | 0.435252 | − | 0.122216i | ||||
\(715\) | −0.673238 | − | 7.46815i | −0.0251777 | − | 0.279293i | ||||
\(716\) | −12.4366 | − | 3.01589i | −0.464777 | − | 0.112709i | ||||
\(717\) | 11.0073 | − | 19.0652i | 0.411076 | − | 0.712004i | ||||
\(718\) | 22.7411 | + | 38.3241i | 0.848690 | + | 1.43024i | ||||
\(719\) | 9.54172 | + | 16.5267i | 0.355846 | + | 0.616344i | 0.987262 | − | 0.159100i | \(-0.0508594\pi\) |
−0.631416 | + | 0.775444i | \(0.717526\pi\) | |||||||
\(720\) | 0.978101 | − | 1.89810i | 0.0364517 | − | 0.0707379i | ||||
\(721\) | 29.1667 | + | 7.81519i | 1.08622 | + | 0.291053i | ||||
\(722\) | −14.9294 | + | 15.2904i | −0.555614 | + | 0.569049i | ||||
\(723\) | −30.3260 | −1.12783 | ||||||||
\(724\) | 7.53276 | + | 25.6456i | 0.279953 | + | 0.953112i | ||||
\(725\) | −8.47492 | + | 2.27085i | −0.314751 | + | 0.0843372i | ||||
\(726\) | 5.08090 | − | 3.01495i | 0.188570 | − | 0.111895i | ||||
\(727\) | 24.7097i | 0.916433i | 0.888841 | + | 0.458216i | \(0.151512\pi\) | ||||
−0.888841 | + | 0.458216i | \(0.848488\pi\) | |||||||
\(728\) | 9.27737 | − | 22.0748i | 0.343842 | − | 0.818146i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | −2.01700 | − | 3.39912i | −0.0746525 | − | 0.125807i | ||||
\(731\) | 3.32189 | − | 0.890096i | 0.122864 | − | 0.0329214i | ||||
\(732\) | −17.8143 | − | 9.72523i | −0.658434 | − | 0.359455i | ||||
\(733\) | 10.5255 | 0.388767 | 0.194384 | − | 0.980926i | \(-0.437729\pi\) | ||||
0.194384 | + | 0.980926i | \(0.437729\pi\) | |||||||
\(734\) | −13.2115 | − | 12.8996i | −0.487645 | − | 0.476132i | ||||
\(735\) | 0.766676 | + | 0.205430i | 0.0282793 | + | 0.00757740i | ||||
\(736\) | 1.71993 | − | 8.39531i | 0.0633976 | − | 0.309455i | ||||
\(737\) | 5.04788 | + | 8.74319i | 0.185941 | + | 0.322059i | ||||
\(738\) | 2.82154 | − | 1.67427i | 0.103862 | − | 0.0616308i | ||||
\(739\) | 21.0102 | − | 36.3908i | 0.772874 | − | 1.33866i | −0.163108 | − | 0.986608i | \(-0.552152\pi\) |
0.935982 | − | 0.352048i | \(-0.114515\pi\) | |||||||
\(740\) | 5.87531 | + | 9.63708i | 0.215981 | + | 0.354266i | ||||
\(741\) | 7.00559 | + | 1.21622i | 0.257357 | + | 0.0446791i | ||||
\(742\) | 8.26147 | + | 29.4218i | 0.303288 | + | 1.08011i | ||||
\(743\) | 8.41627 | + | 31.4099i | 0.308763 | + | 1.15232i | 0.929658 | + | 0.368425i | \(0.120103\pi\) |
−0.620895 | + | 0.783894i | \(0.713231\pi\) | |||||||
\(744\) | −23.8046 | + | 7.30201i | −0.872720 | + | 0.267705i | ||||
\(745\) | −1.11789 | − | 1.93624i | −0.0409562 | − | 0.0709382i | ||||
\(746\) | 18.1351 | + | 10.1834i | 0.663973 | + | 0.372842i | ||||
\(747\) | −6.31871 | − | 10.9443i | −0.231189 | − | 0.400432i | ||||
\(748\) | 24.8797 | + | 13.5824i | 0.909692 | + | 0.496622i | ||||
\(749\) | 38.0709i | 1.39108i | ||||||||
\(750\) | 7.33373 | − | 0.0876087i | 0.267790 | − | 0.00319902i | ||||
\(751\) | −9.63102 | + | 16.6814i | −0.351441 | + | 0.608713i | −0.986502 | − | 0.163748i | \(-0.947641\pi\) |
0.635061 | + | 0.772462i | \(0.280975\pi\) | |||||||
\(752\) | −45.1225 | − | 9.80721i | −1.64545 | − | 0.357632i | ||||
\(753\) | − | 4.89526i | − | 0.178393i | ||||||
\(754\) | 7.69226 | − | 5.55510i | 0.280136 | − | 0.202305i | ||||
\(755\) | 6.55118 | − | 6.55118i | 0.238422 | − | 0.238422i | ||||
\(756\) | −4.69467 | + | 0.112181i | −0.170744 | + | 0.00407999i | ||||
\(757\) | −12.9316 | − | 48.2614i | −0.470007 | − | 1.75409i | −0.639730 | − | 0.768600i | \(-0.720954\pi\) |
0.169723 | − | 0.985492i | \(-0.445713\pi\) | |||||||
\(758\) | −20.8208 | + | 21.3243i | −0.756246 | + | 0.774533i | ||||
\(759\) | −4.17328 | + | 4.17328i | −0.151480 | + | 0.151480i | ||||
\(760\) | −0.667111 | + | 2.90188i | −0.0241987 | + | 0.105262i | ||||
\(761\) | 47.0702 | + | 12.6124i | 1.70629 | + | 0.457200i | 0.974511 | − | 0.224339i | \(-0.0720222\pi\) |
0.731782 | + | 0.681539i | \(0.238689\pi\) | |||||||
\(762\) | 2.99179 | + | 1.67998i | 0.108381 | + | 0.0608594i | ||||
\(763\) | −1.49497 | + | 5.57929i | −0.0541214 | + | 0.201984i | ||||
\(764\) | 19.4577 | − | 0.464949i | 0.703954 | − | 0.0168213i | ||||
\(765\) | −1.68183 | − | 0.971006i | −0.0608068 | − | 0.0351068i | ||||
\(766\) | 4.99575 | − | 8.89665i | 0.180504 | − | 0.321449i | ||||
\(767\) | 9.01089 | − | 19.4578i | 0.325364 | − | 0.702580i | ||||
\(768\) | 15.7794 | + | 2.64754i | 0.569391 | + | 0.0955350i | ||||
\(769\) | 4.89373 | + | 18.2636i | 0.176472 | + | 0.658603i | 0.996296 | + | 0.0859877i | \(0.0274046\pi\) |
−0.819824 | + | 0.572616i | \(0.805929\pi\) | |||||||
\(770\) | −3.52409 | − | 5.93891i | −0.126999 | − | 0.214024i | ||||
\(771\) | −0.982934 | + | 3.66836i | −0.0353995 | + | 0.132113i | ||||
\(772\) | 18.0193 | + | 4.36971i | 0.648530 | + | 0.157269i | ||||
\(773\) | −5.66744 | + | 3.27210i | −0.203844 | + | 0.117689i | −0.598447 | − | 0.801162i | \(-0.704215\pi\) |
0.394603 | + | 0.918852i | \(0.370882\pi\) | |||||||
\(774\) | −1.33681 | + | 0.0159695i | −0.0480506 | + | 0.000574012i | ||||
\(775\) | −29.3504 | − | 29.3504i | −1.05430 | − | 1.05430i | ||||
\(776\) | 3.42644 | + | 5.47213i | 0.123002 | + | 0.196438i | ||||
\(777\) | 12.4112 | − | 21.4969i | 0.445250 | − | 0.771196i | ||||
\(778\) | 11.3999 | + | 19.2115i | 0.408706 | + | 0.688765i | ||||
\(779\) | −3.23507 | + | 3.23507i | −0.115909 | + | 0.115909i | ||||
\(780\) | −3.58110 | + | 1.41208i | −0.128224 | + | 0.0505605i | ||||
\(781\) | −43.6220 | − | 43.6220i | −1.56092 | − | 1.56092i | ||||
\(782\) | −7.55198 | − | 1.92716i | −0.270058 | − | 0.0689152i | ||||
\(783\) | −1.61153 | − | 0.930416i | −0.0575913 | − | 0.0332503i | ||||
\(784\) | 0.284072 | + | 5.94067i | 0.0101454 | + | 0.212167i | ||||
\(785\) | 1.80693 | − | 1.80693i | 0.0644921 | − | 0.0644921i | ||||
\(786\) | 15.8883 | + | 15.5132i | 0.566717 | + | 0.553337i | ||||
\(787\) | 25.5358 | + | 44.2293i | 0.910253 | + | 1.57660i | 0.813707 | + | 0.581275i | \(0.197446\pi\) |
0.0965453 | + | 0.995329i | \(0.469221\pi\) | |||||||
\(788\) | 26.2613 | + | 43.0755i | 0.935519 | + | 1.53450i | ||||
\(789\) | 11.2954 | + | 3.02660i | 0.402128 | + | 0.107750i | ||||
\(790\) | −0.284239 | − | 0.0725340i | −0.0101128 | − | 0.00258065i | ||||
\(791\) | 24.9237 | − | 6.67830i | 0.886186 | − | 0.237453i | ||||
\(792\) | −8.06586 | − | 7.50753i | −0.286608 | − | 0.266769i | ||||
\(793\) | 12.6049 | + | 34.3494i | 0.447613 | + | 1.21978i | ||||
\(794\) | 50.8062 | − | 14.2661i | 1.80305 | − | 0.506284i | ||||
\(795\) | 2.45641 | − | 4.25463i | 0.0871199 | − | 0.150896i | ||||
\(796\) | 7.93155 | − | 0.189528i | 0.281126 | − | 0.00671763i | ||||
\(797\) | −16.1015 | − | 4.31438i | −0.570343 | − | 0.152823i | −0.0378893 | − | 0.999282i | \(-0.512063\pi\) |
−0.532454 | + | 0.846459i | \(0.678730\pi\) | |||||||
\(798\) | 6.30458 | − | 1.77029i | 0.223180 | − | 0.0626675i | ||||
\(799\) | −10.8695 | + | 40.5654i | −0.384534 | + | 1.43510i | ||||
\(800\) | 8.42884 | + | 25.3054i | 0.298004 | + | 0.894682i | ||||
\(801\) | 10.6534 | + | 10.6534i | 0.376420 | + | 0.376420i | ||||
\(802\) | −37.6545 | + | 0.449820i | −1.32963 | + | 0.0158837i | ||||
\(803\) | −19.7018 | + | 5.27909i | −0.695263 | + | 0.186295i | ||||
\(804\) | 3.57622 | − | 3.75131i | 0.126124 | − | 0.132299i | ||||
\(805\) | 1.34267 | + | 1.34267i | 0.0473230 | + | 0.0473230i | ||||
\(806\) | 40.9547 | + | 18.3752i | 1.44257 | + | 0.647238i | ||||
\(807\) | 15.3724 | 0.541133 | ||||||||
\(808\) | −2.20955 | − | 1.17220i | −0.0777317 | − | 0.0412380i | ||||
\(809\) | −22.1429 | − | 12.7842i | −0.778503 | − | 0.449469i | 0.0573965 | − | 0.998351i | \(-0.481720\pi\) |
−0.835899 | + | 0.548883i | \(0.815053\pi\) | |||||||
\(810\) | 0.540160 | + | 0.527407i | 0.0189793 | + | 0.0185312i | ||||
\(811\) | −47.4647 | −1.66671 | −0.833356 | − | 0.552737i | \(-0.813584\pi\) | ||||
−0.833356 | + | 0.552737i | \(0.813584\pi\) | |||||||
\(812\) | 4.18721 | − | 7.66997i | 0.146942 | − | 0.269163i | ||||
\(813\) | 7.03442 | − | 4.06132i | 0.246708 | − | 0.142437i | ||||
\(814\) | 56.0768 | − | 15.7460i | 1.96549 | − | 0.551898i | ||||
\(815\) | −6.00327 | + | 3.46599i | −0.210286 | + | 0.121408i | ||||
\(816\) | 3.09061 | − | 14.2198i | 0.108193 | − | 0.497792i | ||||
\(817\) | 1.80074 | − | 0.482506i | 0.0629998 | − | 0.0168807i | ||||
\(818\) | −19.0131 | + | 33.8594i | −0.664777 | + | 1.18386i | ||||
\(819\) | 6.49956 | + | 5.42462i | 0.227113 | + | 0.189552i | ||||
\(820\) | 0.583727 | − | 2.40711i | 0.0203846 | − | 0.0840599i | ||||
\(821\) | 31.2288 | + | 18.0299i | 1.08989 | + | 0.629249i | 0.933547 | − | 0.358454i | \(-0.116696\pi\) |
0.156344 | + | 0.987703i | \(0.450029\pi\) | |||||||
\(822\) | −0.507314 | + | 1.98801i | −0.0176946 | + | 0.0693399i | ||||
\(823\) | 36.4257 | − | 21.0304i | 1.26972 | − | 0.733073i | 0.294785 | − | 0.955564i | \(-0.404752\pi\) |
0.974935 | + | 0.222490i | \(0.0714186\pi\) | |||||||
\(824\) | 24.7821 | − | 26.6252i | 0.863327 | − | 0.927532i | ||||
\(825\) | 4.75426 | − | 17.7432i | 0.165522 | − | 0.617737i | ||||
\(826\) | −0.235895 | − | 19.7468i | −0.00820784 | − | 0.687079i | ||||
\(827\) | − | 13.8427i | − | 0.481359i | −0.970605 | − | 0.240680i | \(-0.922630\pi\) | ||
0.970605 | − | 0.240680i | \(-0.0773703\pi\) | |||||||
\(828\) | 2.65936 | + | 1.45181i | 0.0924191 | + | 0.0504538i | ||||
\(829\) | −7.17828 | − | 26.7897i | −0.249312 | − | 0.930445i | −0.971167 | − | 0.238400i | \(-0.923377\pi\) |
0.721855 | − | 0.692044i | \(-0.243290\pi\) | |||||||
\(830\) | −9.24422 | − | 2.35900i | −0.320872 | − | 0.0818821i | ||||
\(831\) | 18.9838 | 0.658541 | ||||||||
\(832\) | −18.2530 | − | 22.3344i | −0.632810 | − | 0.774308i | ||||
\(833\) | 5.40912 | 0.187415 | ||||||||
\(834\) | −18.9470 | − | 4.83503i | −0.656082 | − | 0.167423i | ||||
\(835\) | 1.44547 | + | 5.39458i | 0.0500227 | + | 0.186687i | ||||
\(836\) | 13.4869 | + | 7.36279i | 0.466453 | + | 0.254647i | ||||
\(837\) | − | 8.80326i | − | 0.304285i | ||||||
\(838\) | 0.0834543 | + | 6.98596i | 0.00288288 | + | 0.241326i | ||||
\(839\) | −2.06752 | + | 7.71608i | −0.0713786 | + | 0.266389i | −0.992388 | − | 0.123152i | \(-0.960700\pi\) |
0.921009 | + | 0.389541i | \(0.127366\pi\) | |||||||
\(840\) | −2.41541 | + | 2.59504i | −0.0833395 | + | 0.0895375i | ||||
\(841\) | −22.1160 | + | 12.7687i | −0.762619 | + | 0.440298i | ||||
\(842\) | −7.90026 | + | 30.9588i | −0.272261 | + | 1.06691i | ||||
\(843\) | 17.8500 | + | 10.3057i | 0.614785 | + | 0.354946i | ||||
\(844\) | 11.1514 | − | 45.9850i | 0.383847 | − | 1.58287i | ||||
\(845\) | 6.53361 | + | 2.33907i | 0.224763 | + | 0.0804664i | ||||
\(846\) | 7.99337 | − | 14.2349i | 0.274818 | − | 0.489407i | ||||
\(847\) | −9.47491 | + | 2.53880i | −0.325562 | + | 0.0872340i | ||||
\(848\) | 35.9726 | + | 7.81851i | 1.23530 | + | 0.268489i | ||||
\(849\) | 4.53870 | − | 2.62042i | 0.155768 | − | 0.0899326i | ||||
\(850\) | 23.3548 | − | 6.55788i | 0.801062 | − | 0.224934i | ||||
\(851\) | −13.8697 | + | 8.00765i | −0.475446 | + | 0.274499i | ||||
\(852\) | −15.1753 | + | 27.7975i | −0.519897 | + | 0.952326i | ||||
\(853\) | −1.98737 | −0.0680462 | −0.0340231 | − | 0.999421i | \(-0.510832\pi\) | ||||
−0.0340231 | + | 0.999421i | \(0.510832\pi\) | |||||||
\(854\) | 24.1105 | + | 23.5413i | 0.825045 | + | 0.805566i | ||||
\(855\) | −0.911692 | − | 0.526366i | −0.0311792 | − | 0.0180013i | ||||
\(856\) | 40.5124 | + | 21.4926i | 1.38469 | + | 0.734601i | ||||
\(857\) | −3.92624 | −0.134118 | −0.0670590 | − | 0.997749i | \(-0.521362\pi\) | ||||
−0.0670590 | + | 0.997749i | \(0.521362\pi\) | |||||||
\(858\) | 2.01976 | + | 19.7621i | 0.0689536 | + | 0.674666i | ||||
\(859\) | 12.5948 | + | 12.5948i | 0.429730 | + | 0.429730i | 0.888536 | − | 0.458806i | \(-0.151723\pi\) |
−0.458806 | + | 0.888536i | \(0.651723\pi\) | |||||||
\(860\) | −0.696417 | + | 0.730514i | −0.0237476 | + | 0.0249103i | ||||
\(861\) | −5.26164 | + | 1.40985i | −0.179316 | + | 0.0480476i | ||||
\(862\) | 16.5016 | − | 0.197128i | 0.562047 | − | 0.00671421i | ||||
\(863\) | 28.1556 | + | 28.1556i | 0.958428 | + | 0.958428i | 0.999170 | − | 0.0407415i | \(-0.0129720\pi\) |
−0.0407415 | + | 0.999170i | \(0.512972\pi\) | |||||||
\(864\) | −2.53096 | + | 5.05908i | −0.0861049 | + | 0.172113i | ||||
\(865\) | 0.100118 | − | 0.373644i | 0.00340410 | − | 0.0127043i | ||||
\(866\) | 38.0669 | − | 10.6889i | 1.29356 | − | 0.363225i | ||||
\(867\) | 3.63709 | + | 0.974555i | 0.123522 | + | 0.0330976i | ||||
\(868\) | 41.3284 | − | 0.987559i | 1.40278 | − | 0.0335199i | ||||
\(869\) | −0.756910 | + | 1.31101i | −0.0256764 | + | 0.0444729i | ||||
\(870\) | −1.35250 | + | 0.379775i | −0.0458542 | + | 0.0128756i | ||||
\(871\) | −9.30574 | + | 0.838894i | −0.315313 | + | 0.0284248i | ||||
\(872\) | 5.09313 | + | 4.74057i | 0.172475 | + | 0.160536i | ||||
\(873\) | −2.20489 | + | 0.590799i | −0.0746242 | + | 0.0199955i | ||||
\(874\) | −4.09380 | − | 1.04468i | −0.138475 | − | 0.0353369i | ||||
\(875\) | −11.7621 | − | 3.15164i | −0.397631 | − | 0.106545i | ||||
\(876\) | 5.45067 | + | 8.94055i | 0.184161 | + | 0.302073i | ||||
\(877\) | 20.2294 | + | 35.0384i | 0.683099 | + | 1.18316i | 0.974030 | + | 0.226418i | \(0.0727015\pi\) |
−0.290931 | + | 0.956744i | \(0.593965\pi\) | |||||||
\(878\) | 1.71776 | + | 1.67720i | 0.0579716 | + | 0.0566029i | ||||
\(879\) | −1.12191 | + | 1.12191i | −0.0378411 | + | 0.0378411i | ||||
\(880\) | −8.30927 | + | 0.397333i | −0.280105 | + | 0.0133941i | ||||
\(881\) | −47.4692 | − | 27.4063i | −1.59928 | − | 0.923343i | −0.991627 | − | 0.129138i | \(-0.958779\pi\) |
−0.607650 | − | 0.794205i | \(-0.707888\pi\) | |||||||
\(882\) | −2.03745 | − | 0.519930i | −0.0686045 | − | 0.0175069i | ||||
\(883\) | −23.0875 | − | 23.0875i | −0.776955 | − | 0.776955i | 0.202357 | − | 0.979312i | \(-0.435140\pi\) |
−0.979312 | + | 0.202357i | \(0.935140\pi\) | |||||||
\(884\) | −21.0826 | + | 15.6117i | −0.709084 | + | 0.525078i | ||||
\(885\) | −2.24489 | + | 2.24489i | −0.0754611 | + | 0.0754611i | ||||
\(886\) | 9.39776 | + | 15.8374i | 0.315724 | + | 0.532069i | ||||
\(887\) | −13.7684 | + | 23.8476i | −0.462297 | + | 0.800722i | −0.999075 | − | 0.0430013i | \(-0.986308\pi\) |
0.536778 | + | 0.843724i | \(0.319641\pi\) | |||||||
\(888\) | −15.8689 | − | 25.3430i | −0.532524 | − | 0.850456i | ||||
\(889\) | −4.02824 | − | 4.02824i | −0.135103 | − | 0.135103i | ||||
\(890\) | 11.3733 | − | 0.135865i | 0.381232 | − | 0.00455420i | ||||
\(891\) | 3.37391 | − | 1.94793i | 0.113030 | − | 0.0652580i | ||||
\(892\) | −12.4943 | − | 3.02989i | −0.418341 | − | 0.101448i | ||||
\(893\) | −5.89215 | + | 21.9898i | −0.197173 | + | 0.735860i | ||||
\(894\) | 3.02259 | + | 5.09378i | 0.101091 | + | 0.170362i | ||||
\(895\) | −0.884041 | − | 3.29928i | −0.0295502 | − | 0.110283i | ||||
\(896\) | −24.0346 | − | 11.3145i | −0.802941 | − | 0.377990i | ||||
\(897\) | −1.88169 | − | 5.12777i | −0.0628279 | − | 0.171211i | ||||
\(898\) | 14.6669 | − | 26.1194i | 0.489440 | − | 0.871617i | ||||
\(899\) | 14.1867 | + | 8.19069i | 0.473153 | + | 0.273175i | ||||
\(900\) | −9.42738 | + | 0.225271i | −0.314246 | + | 0.00750903i | ||||
\(901\) | 8.66536 | − | 32.3395i | 0.288685 | − | 1.07739i | ||||
\(902\) | −11.1450 | − | 6.25827i | −0.371088 | − | 0.208377i | ||||
\(903\) | 2.14402 | + | 0.574488i | 0.0713484 | + | 0.0191178i | ||||
\(904\) | 6.96387 | − | 30.2923i | 0.231615 | − | 1.00751i | ||||
\(905\) | −5.04469 | + | 5.04469i | −0.167691 | + | 0.167691i | ||||
\(906\) | −17.1470 | + | 17.5616i | −0.569670 | + | 0.583445i | ||||
\(907\) | 9.47201 | + | 35.3500i | 0.314513 | + | 1.17378i | 0.924442 | + | 0.381322i | \(0.124531\pi\) |
−0.609929 | + | 0.792456i | \(0.708802\pi\) | |||||||
\(908\) | −15.7613 | + | 0.376621i | −0.523055 | + | 0.0124986i | ||||
\(909\) | 0.625309 | − | 0.625309i | 0.0207402 | − | 0.0207402i | ||||
\(910\) | 6.35808 | − | 0.649821i | 0.210768 | − | 0.0215414i | ||||
\(911\) | − | 29.5059i | − | 0.977572i | −0.872404 | − | 0.488786i | \(-0.837440\pi\) | ||
0.872404 | − | 0.488786i | \(-0.162560\pi\) | |||||||
\(912\) | 1.67537 | − | 7.70829i | 0.0554770 | − | 0.255247i | ||||
\(913\) | −24.6167 | + | 42.6374i | −0.814695 | + | 1.41109i | ||||
\(914\) | −34.2023 | + | 0.408580i | −1.13131 | + | 0.0135146i | ||||
\(915\) | − | 5.41723i | − | 0.179088i | ||||||
\(916\) | 24.2825 | + | 13.2564i | 0.802318 | + | 0.438004i | ||||
\(917\) | −18.4341 | − | 31.9287i | −0.608746 | − | 1.05438i | ||||
\(918\) | 4.48596 | + | 2.51901i | 0.148059 | + | 0.0831396i | ||||
\(919\) | −26.0843 | − | 45.1793i | −0.860441 | − | 1.49033i | −0.871504 | − | 0.490389i | \(-0.836855\pi\) |
0.0110625 | − | 0.999939i | \(-0.496479\pi\) | |||||||
\(920\) | 2.18677 | − | 0.670788i | 0.0720958 | − | 0.0221152i | ||||
\(921\) | −5.28059 | − | 19.7074i | −0.174001 | − | 0.649382i | ||||
\(922\) | −11.4349 | − | 40.7234i | −0.376588 | − | 1.34115i | ||||
\(923\) | 53.5990 | − | 19.6688i | 1.76423 | − | 0.647405i | ||||
\(924\) | 9.52336 | + | 15.6209i | 0.313296 | + | 0.513889i | ||||
\(925\) | 24.9230 | − | 43.1679i | 0.819463 | − | 1.41935i | ||||
\(926\) | −24.4804 | + | 14.5264i | −0.804475 | + | 0.477367i | ||||
\(927\) | 6.43004 | + | 11.1372i | 0.211190 | + | 0.365792i | ||||
\(928\) | −5.79800 | − | 8.78575i | −0.190329 | − | 0.288406i | ||||
\(929\) | 23.4563 | + | 6.28511i | 0.769578 | + | 0.206208i | 0.622185 | − | 0.782870i | \(-0.286245\pi\) |
0.147393 | + | 0.989078i | \(0.452912\pi\) | |||||||
\(930\) | −4.75517 | − | 4.64290i | −0.155928 | − | 0.152247i | ||||
\(931\) | 2.93219 | 0.0960988 | ||||||||
\(932\) | −24.9335 | − | 13.6118i | −0.816725 | − | 0.445869i | ||||
\(933\) | 13.3699 | − | 3.58246i | 0.437712 | − | 0.117285i | ||||
\(934\) | −12.5884 | − | 21.2144i | −0.411905 | − | 0.694156i | ||||
\(935\) | 7.56579i | 0.247428i | ||||||||
\(936\) | 9.44177 | − | 3.85397i | 0.308614 | − | 0.125971i | ||||
\(937\) | 33.2231i | 1.08535i | 0.839942 | + | 0.542676i | \(0.182589\pi\) | ||||
−0.839942 | + | 0.542676i | \(0.817411\pi\) | |||||||
\(938\) | −7.40023 | + | 4.39121i | −0.241626 | + | 0.143378i | ||||
\(939\) | 21.9121 | − | 5.87134i | 0.715075 | − | 0.191604i | ||||
\(940\) | −3.47339 | − | 11.8253i | −0.113290 | − | 0.385699i | ||||
\(941\) | 55.8728 | 1.82140 | 0.910701 | − | 0.413066i | \(-0.135542\pi\) | ||||
0.910701 | + | 0.413066i | \(0.135542\pi\) | |||||||
\(942\) | −4.72944 | + | 4.84380i | −0.154093 | + | 0.157820i | ||||
\(943\) | 3.39478 | + | 0.909628i | 0.110549 | + | 0.0296216i | ||||
\(944\) | −21.1464 | − | 10.8968i | −0.688255 | − | 0.354662i | ||||
\(945\) | −0.626709 | − | 1.08549i | −0.0203868 | − | 0.0353110i | ||||
\(946\) | 2.65788 | + | 4.47916i | 0.0864152 | + | 0.145630i | ||||
\(947\) | −24.9573 | + | 43.2273i | −0.811003 | + | 1.40470i | 0.101160 | + | 0.994870i | \(0.467744\pi\) |
−0.912163 | + | 0.409828i | \(0.865589\pi\) | |||||||
\(948\) | 0.755255 | + | 0.183150i | 0.0245296 | + | 0.00594844i | ||||
\(949\) | 3.22889 | − | 18.5988i | 0.104814 | − | 0.603742i | ||||
\(950\) | 12.6602 | − | 3.55492i | 0.410752 | − | 0.115337i | ||||
\(951\) | 0.158743 | + | 0.592435i | 0.00514758 | + | 0.0192110i | ||||
\(952\) | −11.3227 | + | 21.3427i | −0.366970 | + | 0.691721i | ||||
\(953\) | 29.5801 | + | 51.2342i | 0.958192 | + | 1.65964i | 0.726888 | + | 0.686756i | \(0.240966\pi\) |
0.231304 | + | 0.972882i | \(0.425701\pi\) | |||||||
\(954\) | −6.37248 | + | 11.3484i | −0.206317 | + | 0.367418i | ||||
\(955\) | 2.59748 | + | 4.49896i | 0.0840524 | + | 0.145583i | ||||
\(956\) | 12.4083 | + | 42.2446i | 0.401314 | + | 1.36629i | ||||
\(957\) | 7.24952i | 0.234344i | ||||||||
\(958\) | 0.137656 | + | 11.5232i | 0.00444745 | + | 0.372296i | ||||
\(959\) | 1.70323 | − | 2.95008i | 0.0550001 | − | 0.0952630i | ||||
\(960\) | 1.39787 | + | 4.03532i | 0.0451160 | + | 0.130239i | ||||
\(961\) | 46.4974i | 1.49992i | ||||||||
\(962\) | −8.58539 | + | 53.2173i | −0.276804 | + | 1.71579i | ||||
\(963\) | −11.4651 | + | 11.4651i | −0.369459 | + | 0.369459i | ||||
\(964\) | 41.8506 | − | 43.8997i | 1.34792 | − | 1.41391i | ||||
\(965\) | 1.28088 | + | 4.78032i | 0.0412331 | + | 0.153884i | ||||
\(966\) | −3.59928 | − | 3.51430i | −0.115805 | − | 0.113071i | ||||
\(967\) | −37.7368 | + | 37.7368i | −1.21353 | + | 1.21353i | −0.243678 | + | 0.969856i | \(0.578354\pi\) |
−0.969856 | + | 0.243678i | \(0.921646\pi\) | |||||||
\(968\) | −2.64736 | + | 11.5158i | −0.0850893 | + | 0.370132i | ||||
\(969\) | −6.92980 | − | 1.85683i | −0.222617 | − | 0.0596501i | ||||
\(970\) | −0.843749 | + | 1.50259i | −0.0270912 | + | 0.0482451i | ||||
\(971\) | −9.38772 | + | 35.0354i | −0.301266 | + | 1.12434i | 0.634846 | + | 0.772639i | \(0.281064\pi\) |
−0.936112 | + | 0.351702i | \(0.885603\pi\) | |||||||
\(972\) | −1.44759 | − | 1.38003i | −0.0464316 | − | 0.0442644i | ||||
\(973\) | 28.1161 | + | 16.2329i | 0.901362 | + | 0.520402i | ||||
\(974\) | −8.75696 | − | 4.91731i | −0.280591 | − | 0.157561i | ||||
\(975\) | 13.0518 | + | 10.8932i | 0.417991 | + | 0.348861i | ||||
\(976\) | 38.6623 | − | 12.3668i | 1.23755 | − | 0.395850i | ||||
\(977\) | 14.8071 | + | 55.2610i | 0.473722 | + | 1.76795i | 0.626215 | + | 0.779650i | \(0.284603\pi\) |
−0.152493 | + | 0.988305i | \(0.548730\pi\) | |||||||
\(978\) | 15.7932 | − | 9.37151i | 0.505011 | − | 0.299668i | ||||
\(979\) | 15.1916 | − | 56.6957i | 0.485525 | − | 1.81200i | ||||
\(980\) | −1.35541 | + | 0.826336i | −0.0432970 | + | 0.0263963i | ||||
\(981\) | −2.13043 | + | 1.23000i | −0.0680193 | + | 0.0392710i | ||||
\(982\) | −0.183595 | − | 15.3687i | −0.00585874 | − | 0.490435i | ||||
\(983\) | −30.8831 | − | 30.8831i | −0.985018 | − | 0.985018i | 0.0148712 | − | 0.999889i | \(-0.495266\pi\) |
−0.999889 | + | 0.0148712i | \(0.995266\pi\) | |||||||
\(984\) | −1.47014 | + | 6.39499i | −0.0468663 | + | 0.203865i | ||||
\(985\) | −6.73277 | + | 11.6615i | −0.214524 | + | 0.371566i | ||||
\(986\) | −8.23325 | + | 4.88552i | −0.262200 | + | 0.155587i | ||||
\(987\) | −19.1664 | + | 19.1664i | −0.610073 | + | 0.610073i | ||||
\(988\) | −11.4285 | + | 8.46283i | −0.363589 | + | 0.269238i | ||||
\(989\) | −1.01265 | − | 1.01265i | −0.0322005 | − | 0.0322005i | ||||
\(990\) | 0.727230 | − | 2.84980i | 0.0231129 | − | 0.0905726i | ||||
\(991\) | 27.0595 | + | 15.6228i | 0.859574 | + | 0.496275i | 0.863870 | − | 0.503716i | \(-0.168034\pi\) |
−0.00429580 | + | 0.999991i | \(0.501367\pi\) | |||||||
\(992\) | 22.2807 | − | 44.5364i | 0.707412 | − | 1.41403i | ||||
\(993\) | −23.2000 | + | 23.2000i | −0.736231 | + | 0.736231i | ||||
\(994\) | 36.7339 | − | 37.6222i | 1.16513 | − | 1.19330i | ||||
\(995\) | 1.05881 | + | 1.83391i | 0.0335666 | + | 0.0581390i | ||||
\(996\) | 24.5629 | + | 5.95653i | 0.778306 | + | 0.188740i | ||||
\(997\) | 9.89613 | + | 2.65166i | 0.313413 | + | 0.0839789i | 0.412097 | − | 0.911140i | \(-0.364796\pi\) |
−0.0986835 | + | 0.995119i | \(0.531463\pi\) | |||||||
\(998\) | −0.933709 | + | 3.65893i | −0.0295560 | + | 0.115821i | ||||
\(999\) | 10.2115 | − | 2.73616i | 0.323077 | − | 0.0865683i |
(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 | 624.2.ch.a.19.52 | ✓ | 224 | |
13.11 | odd | 12 | 624.2.cz.a.115.15 | yes | 224 | ||
16.11 | odd | 4 | 624.2.cz.a.331.15 | yes | 224 | ||
208.11 | even | 12 | inner | 624.2.ch.a.427.52 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
624.2.ch.a.19.52 | ✓ | 224 | 1.1 | even | 1 | trivial | |
624.2.ch.a.427.52 | yes | 224 | 208.11 | even | 12 | inner | |
624.2.cz.a.115.15 | yes | 224 | 13.11 | odd | 12 | ||
624.2.cz.a.331.15 | yes | 224 | 16.11 | odd | 4 |