Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(25,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.w (of order \(9\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.14 | ||
Character | \(\chi\) | \(=\) | 189.25 |
Dual form | 189.2.w.a.121.14 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.562011 | − | 0.204555i | 0.397402 | − | 0.144643i | −0.135585 | − | 0.990766i | \(-0.543292\pi\) |
0.532987 | + | 0.846123i | \(0.321069\pi\) | |||||||
\(3\) | −0.692899 | − | 1.58742i | −0.400045 | − | 0.916495i | ||||
\(4\) | −1.25807 | + | 1.05565i | −0.629037 | + | 0.527825i | ||||
\(5\) | −2.61250 | − | 0.950872i | −1.16834 | − | 0.425243i | −0.316273 | − | 0.948668i | \(-0.602432\pi\) |
−0.852072 | + | 0.523425i | \(0.824654\pi\) | |||||||
\(6\) | −0.714132 | − | 0.750410i | −0.291543 | − | 0.306354i | ||||
\(7\) | −0.229775 | − | 2.63575i | −0.0868468 | − | 0.996222i | ||||
\(8\) | −1.08919 | + | 1.88654i | −0.385088 | + | 0.666992i | ||||
\(9\) | −2.03978 | + | 2.19984i | −0.679928 | + | 0.733279i | ||||
\(10\) | −1.66276 | −0.525811 | ||||||||
\(11\) | −1.41497 | + | 0.515008i | −0.426630 | + | 0.155281i | −0.546406 | − | 0.837520i | \(-0.684005\pi\) |
0.119776 | + | 0.992801i | \(0.461782\pi\) | |||||||
\(12\) | 2.54748 | + | 1.26563i | 0.735393 | + | 0.365356i | ||||
\(13\) | −0.726972 | − | 4.12286i | −0.201626 | − | 1.14348i | −0.902662 | − | 0.430350i | \(-0.858390\pi\) |
0.701036 | − | 0.713126i | \(-0.252721\pi\) | |||||||
\(14\) | −0.668294 | − | 1.43432i | −0.178609 | − | 0.383339i | ||||
\(15\) | 0.300767 | + | 4.80598i | 0.0776577 | + | 1.24090i | ||||
\(16\) | 0.344127 | − | 1.95164i | 0.0860318 | − | 0.487911i | ||||
\(17\) | −0.701659 | −0.170177 | −0.0850886 | − | 0.996373i | \(-0.527117\pi\) | ||||
−0.0850886 | + | 0.996373i | \(0.527117\pi\) | |||||||
\(18\) | −0.696393 | + | 1.65358i | −0.164141 | + | 0.389753i | ||||
\(19\) | 4.97867 | 1.14218 | 0.571092 | − | 0.820886i | \(-0.306520\pi\) | ||||
0.571092 | + | 0.820886i | \(0.306520\pi\) | |||||||
\(20\) | 4.29051 | − | 1.56162i | 0.959386 | − | 0.349188i | ||||
\(21\) | −4.02483 | + | 2.19106i | −0.878290 | + | 0.478128i | ||||
\(22\) | −0.689883 | + | 0.578881i | −0.147084 | + | 0.123418i | ||||
\(23\) | −0.667683 | − | 3.78662i | −0.139222 | − | 0.789565i | −0.971826 | − | 0.235697i | \(-0.924263\pi\) |
0.832605 | − | 0.553867i | \(-0.186849\pi\) | |||||||
\(24\) | 3.74942 | + | 0.421824i | 0.765348 | + | 0.0861045i | ||||
\(25\) | 2.09077 | + | 1.75436i | 0.418154 | + | 0.350873i | ||||
\(26\) | −1.25192 | − | 2.16839i | −0.245522 | − | 0.425256i | ||||
\(27\) | 4.90542 | + | 1.71372i | 0.944049 | + | 0.329806i | ||||
\(28\) | 3.07151 | + | 3.07342i | 0.580461 | + | 0.580821i | ||||
\(29\) | −0.719384 | + | 4.07983i | −0.133586 | + | 0.757605i | 0.842248 | + | 0.539091i | \(0.181232\pi\) |
−0.975834 | + | 0.218514i | \(0.929879\pi\) | |||||||
\(30\) | 1.15212 | + | 2.63949i | 0.210348 | + | 0.481903i | ||||
\(31\) | −2.92411 | + | 2.45362i | −0.525185 | + | 0.440683i | −0.866435 | − | 0.499290i | \(-0.833594\pi\) |
0.341250 | + | 0.939973i | \(0.389150\pi\) | |||||||
\(32\) | −0.962362 | − | 5.45782i | −0.170123 | − | 0.964816i | ||||
\(33\) | 1.79796 | + | 1.88930i | 0.312986 | + | 0.328885i | ||||
\(34\) | −0.394340 | + | 0.143528i | −0.0676288 | + | 0.0246149i | ||||
\(35\) | −1.90598 | + | 7.10439i | −0.322169 | + | 1.20086i | ||||
\(36\) | 0.243941 | − | 4.92086i | 0.0406568 | − | 0.820143i | ||||
\(37\) | 4.84240 | − | 8.38728i | 0.796086 | − | 1.37886i | −0.126062 | − | 0.992022i | \(-0.540234\pi\) |
0.922147 | − | 0.386839i | \(-0.126433\pi\) | |||||||
\(38\) | 2.79807 | − | 1.01841i | 0.453907 | − | 0.165208i | ||||
\(39\) | −6.04098 | + | 4.01073i | −0.967331 | + | 0.642231i | ||||
\(40\) | 4.63937 | − | 3.89290i | 0.733549 | − | 0.615521i | ||||
\(41\) | −1.48070 | − | 8.39748i | −0.231247 | − | 1.31147i | −0.850376 | − | 0.526176i | \(-0.823625\pi\) |
0.619129 | − | 0.785289i | \(-0.287486\pi\) | |||||||
\(42\) | −1.81381 | + | 2.05470i | −0.279877 | + | 0.317047i | ||||
\(43\) | 6.01954 | + | 5.05099i | 0.917971 | + | 0.770269i | 0.973619 | − | 0.228181i | \(-0.0732778\pi\) |
−0.0556474 | + | 0.998450i | \(0.517722\pi\) | |||||||
\(44\) | 1.23647 | − | 2.14163i | 0.186405 | − | 0.322864i | ||||
\(45\) | 7.42069 | − | 3.80750i | 1.10621 | − | 0.567589i | ||||
\(46\) | −1.14982 | − | 1.99155i | −0.169532 | − | 0.293637i | ||||
\(47\) | −7.83386 | − | 6.57339i | −1.14269 | − | 0.958827i | −0.143162 | − | 0.989699i | \(-0.545727\pi\) |
−0.999523 | + | 0.0308721i | \(0.990172\pi\) | |||||||
\(48\) | −3.33652 | + | 0.806017i | −0.481585 | + | 0.116339i | ||||
\(49\) | −6.89441 | + | 1.21126i | −0.984915 | + | 0.173037i | ||||
\(50\) | 1.53390 | + | 0.558294i | 0.216926 | + | 0.0789547i | ||||
\(51\) | 0.486178 | + | 1.11382i | 0.0680786 | + | 0.155967i | ||||
\(52\) | 5.26688 | + | 4.41944i | 0.730385 | + | 0.612866i | ||||
\(53\) | −3.37264 | + | 5.84158i | −0.463268 | + | 0.802403i | −0.999121 | − | 0.0419076i | \(-0.986656\pi\) |
0.535854 | + | 0.844311i | \(0.319990\pi\) | |||||||
\(54\) | 3.10745 | − | 0.0402997i | 0.422871 | − | 0.00548409i | ||||
\(55\) | 4.18632 | 0.564483 | ||||||||
\(56\) | 5.22272 | + | 2.43737i | 0.697916 | + | 0.325707i | ||||
\(57\) | −3.44971 | − | 7.90322i | −0.456925 | − | 1.04681i | ||||
\(58\) | 0.430249 | + | 2.44006i | 0.0564945 | + | 0.320396i | ||||
\(59\) | 2.34202 | + | 13.2823i | 0.304905 | + | 1.72920i | 0.623950 | + | 0.781465i | \(0.285527\pi\) |
−0.319044 | + | 0.947740i | \(0.603362\pi\) | |||||||
\(60\) | −5.45182 | − | 5.72878i | −0.703827 | − | 0.739582i | ||||
\(61\) | 2.19956 | + | 1.84565i | 0.281625 | + | 0.236311i | 0.772647 | − | 0.634836i | \(-0.218932\pi\) |
−0.491023 | + | 0.871147i | \(0.663377\pi\) | |||||||
\(62\) | −1.14148 | + | 1.97710i | −0.144968 | + | 0.251092i | ||||
\(63\) | 6.26692 | + | 4.87090i | 0.789558 | + | 0.613676i | ||||
\(64\) | 0.324465 | + | 0.561990i | 0.0405581 | + | 0.0702487i | ||||
\(65\) | −2.02110 | + | 11.4622i | −0.250687 | + | 1.42171i | ||||
\(66\) | 1.39694 | + | 0.694026i | 0.171952 | + | 0.0854287i | ||||
\(67\) | 0.343850 | + | 0.125151i | 0.0420079 | + | 0.0152896i | 0.362939 | − | 0.931813i | \(-0.381773\pi\) |
−0.320931 | + | 0.947103i | \(0.603996\pi\) | |||||||
\(68\) | 0.882739 | − | 0.740706i | 0.107048 | − | 0.0898238i | ||||
\(69\) | −5.54831 | + | 3.68364i | −0.667938 | + | 0.443458i | ||||
\(70\) | 0.382061 | + | 4.38263i | 0.0456650 | + | 0.523824i | ||||
\(71\) | −2.81314 | − | 4.87251i | −0.333859 | − | 0.578260i | 0.649406 | − | 0.760442i | \(-0.275018\pi\) |
−0.983265 | + | 0.182181i | \(0.941684\pi\) | |||||||
\(72\) | −1.92836 | − | 6.24418i | −0.227259 | − | 0.735883i | ||||
\(73\) | −7.07118 | − | 12.2476i | −0.827619 | − | 1.43348i | −0.899901 | − | 0.436094i | \(-0.856362\pi\) |
0.0722820 | − | 0.997384i | \(-0.476972\pi\) | |||||||
\(74\) | 1.00582 | − | 5.70429i | 0.116924 | − | 0.663110i | ||||
\(75\) | 1.33621 | − | 4.53452i | 0.154293 | − | 0.523601i | ||||
\(76\) | −6.26354 | + | 5.25573i | −0.718477 | + | 0.602874i | ||||
\(77\) | 1.68256 | + | 3.61119i | 0.191746 | + | 0.411533i | ||||
\(78\) | −2.57468 | + | 3.48979i | −0.291525 | + | 0.395141i | ||||
\(79\) | −7.98730 | + | 2.90714i | −0.898641 | + | 0.327079i | −0.749708 | − | 0.661769i | \(-0.769806\pi\) |
−0.148933 | + | 0.988847i | \(0.547584\pi\) | |||||||
\(80\) | −2.75479 | + | 4.77144i | −0.307995 | + | 0.533464i | ||||
\(81\) | −0.678570 | − | 8.97438i | −0.0753967 | − | 0.997154i | ||||
\(82\) | −2.54992 | − | 4.41659i | −0.281592 | − | 0.487731i | ||||
\(83\) | 0.502952 | − | 2.85238i | 0.0552062 | − | 0.313090i | −0.944683 | − | 0.327985i | \(-0.893630\pi\) |
0.999889 | + | 0.0148953i | \(0.00474151\pi\) | |||||||
\(84\) | 2.75055 | − | 7.00533i | 0.300109 | − | 0.764344i | ||||
\(85\) | 1.83308 | + | 0.667187i | 0.198826 | + | 0.0723666i | ||||
\(86\) | 4.41626 | + | 1.60739i | 0.476217 | + | 0.173329i | ||||
\(87\) | 6.97485 | − | 1.68495i | 0.747782 | − | 0.180645i | ||||
\(88\) | 0.569597 | − | 3.23034i | 0.0607192 | − | 0.344356i | ||||
\(89\) | 6.20817 | 0.658065 | 0.329032 | − | 0.944319i | \(-0.393277\pi\) | ||||
0.329032 | + | 0.944319i | \(0.393277\pi\) | |||||||
\(90\) | 3.39167 | − | 3.65780i | 0.357513 | − | 0.385566i | ||||
\(91\) | −10.6998 | + | 2.86345i | −1.12164 | + | 0.300171i | ||||
\(92\) | 4.83734 | + | 4.05901i | 0.504328 | + | 0.423181i | ||||
\(93\) | 5.92102 | + | 2.94167i | 0.613981 | + | 0.305037i | ||||
\(94\) | −5.74734 | − | 2.09186i | −0.592793 | − | 0.215759i | ||||
\(95\) | −13.0068 | − | 4.73407i | −1.33447 | − | 0.485706i | ||||
\(96\) | −7.99702 | + | 5.30939i | −0.816193 | + | 0.541887i | ||||
\(97\) | −1.90707 | − | 1.60023i | −0.193634 | − | 0.162478i | 0.540816 | − | 0.841141i | \(-0.318115\pi\) |
−0.734450 | + | 0.678663i | \(0.762560\pi\) | |||||||
\(98\) | −3.62697 | + | 2.09103i | −0.366379 | + | 0.211226i | ||||
\(99\) | 1.75330 | − | 4.16321i | 0.176214 | − | 0.418419i | ||||
\(100\) | −4.48234 | −0.448234 | ||||||||
\(101\) | 2.38180 | − | 13.5079i | 0.236998 | − | 1.34408i | −0.601366 | − | 0.798973i | \(-0.705377\pi\) |
0.838365 | − | 0.545110i | \(-0.183512\pi\) | |||||||
\(102\) | 0.501077 | + | 0.526532i | 0.0496140 | + | 0.0521344i | ||||
\(103\) | 5.68121 | + | 2.06779i | 0.559786 | + | 0.203745i | 0.606389 | − | 0.795168i | \(-0.292617\pi\) |
−0.0466032 | + | 0.998913i | \(0.514840\pi\) | |||||||
\(104\) | 8.56975 | + | 3.11913i | 0.840333 | + | 0.305856i | ||||
\(105\) | 12.5983 | − | 1.89704i | 1.22947 | − | 0.185132i | ||||
\(106\) | −0.700534 | + | 3.97293i | −0.0680419 | + | 0.385885i | ||||
\(107\) | −1.71770 | − | 2.97514i | −0.166056 | − | 0.287618i | 0.770974 | − | 0.636867i | \(-0.219770\pi\) |
−0.937030 | + | 0.349249i | \(0.886437\pi\) | |||||||
\(108\) | −7.98048 | + | 3.02242i | −0.767922 | + | 0.290832i | ||||
\(109\) | 2.74535 | − | 4.75509i | 0.262957 | − | 0.455455i | −0.704069 | − | 0.710131i | \(-0.748636\pi\) |
0.967026 | + | 0.254677i | \(0.0819690\pi\) | |||||||
\(110\) | 2.35276 | − | 0.856335i | 0.224327 | − | 0.0816483i | ||||
\(111\) | −16.6694 | − | 1.87537i | −1.58219 | − | 0.178002i | ||||
\(112\) | −5.22313 | − | 0.458597i | −0.493539 | − | 0.0433333i | ||||
\(113\) | 9.96089 | − | 8.35818i | 0.937042 | − | 0.786272i | −0.0400260 | − | 0.999199i | \(-0.512744\pi\) |
0.977068 | + | 0.212927i | \(0.0682996\pi\) | |||||||
\(114\) | −3.55542 | − | 3.73604i | −0.332996 | − | 0.349912i | ||||
\(115\) | −1.85627 | + | 10.5274i | −0.173098 | + | 0.981687i | ||||
\(116\) | −3.40183 | − | 5.89215i | −0.315852 | − | 0.547072i | ||||
\(117\) | 10.5525 | + | 6.81052i | 0.975578 | + | 0.629633i | ||||
\(118\) | 4.03320 | + | 6.98571i | 0.371287 | + | 0.643087i | ||||
\(119\) | 0.161224 | + | 1.84940i | 0.0147793 | + | 0.169534i | ||||
\(120\) | −9.39426 | − | 4.66723i | −0.857575 | − | 0.426058i | ||||
\(121\) | −6.68957 | + | 5.61322i | −0.608143 | + | 0.510293i | ||||
\(122\) | 1.61371 | + | 0.587344i | 0.146099 | + | 0.0531756i | ||||
\(123\) | −12.3043 | + | 8.16909i | −1.10944 | + | 0.736582i | ||||
\(124\) | 1.08858 | − | 6.17367i | 0.0977577 | − | 0.554412i | ||||
\(125\) | 3.15645 | + | 5.46713i | 0.282322 | + | 0.488995i | ||||
\(126\) | 4.51845 | + | 1.45557i | 0.402536 | + | 0.129672i | ||||
\(127\) | −6.48791 | + | 11.2374i | −0.575709 | + | 0.997157i | 0.420255 | + | 0.907406i | \(0.361940\pi\) |
−0.995964 | + | 0.0897511i | \(0.971393\pi\) | |||||||
\(128\) | 8.78818 | + | 7.37416i | 0.776773 | + | 0.651790i | ||||
\(129\) | 3.84710 | − | 13.0553i | 0.338718 | − | 1.14946i | ||||
\(130\) | 1.20878 | + | 6.85533i | 0.106017 | + | 0.601252i | ||||
\(131\) | −1.19643 | − | 6.78529i | −0.104533 | − | 0.592833i | −0.991406 | − | 0.130821i | \(-0.958239\pi\) |
0.886873 | − | 0.462012i | \(-0.152872\pi\) | |||||||
\(132\) | −4.25642 | − | 0.478863i | −0.370474 | − | 0.0416797i | ||||
\(133\) | −1.14397 | − | 13.1225i | −0.0991950 | − | 1.13787i | ||||
\(134\) | 0.218848 | 0.0189056 | ||||||||
\(135\) | −11.1859 | − | 9.14152i | −0.962727 | − | 0.786777i | ||||
\(136\) | 0.764242 | − | 1.32371i | 0.0655332 | − | 0.113507i | ||||
\(137\) | 9.59459 | + | 8.05081i | 0.819721 | + | 0.687828i | 0.952907 | − | 0.303264i | \(-0.0980763\pi\) |
−0.133186 | + | 0.991091i | \(0.542521\pi\) | |||||||
\(138\) | −2.36470 | + | 3.20518i | −0.201297 | + | 0.272843i | ||||
\(139\) | −9.82761 | − | 3.57696i | −0.833567 | − | 0.303394i | −0.110245 | − | 0.993904i | \(-0.535164\pi\) |
−0.723322 | + | 0.690511i | \(0.757386\pi\) | |||||||
\(140\) | −5.10189 | − | 10.9499i | −0.431188 | − | 0.925436i | ||||
\(141\) | −5.00664 | + | 16.9903i | −0.421635 | + | 1.43084i | ||||
\(142\) | −2.57772 | − | 2.16296i | −0.216317 | − | 0.181512i | ||||
\(143\) | 3.15195 | + | 5.45934i | 0.263579 | + | 0.456533i | ||||
\(144\) | 3.59135 | + | 4.73795i | 0.299279 | + | 0.394829i | ||||
\(145\) | 5.75878 | − | 9.97450i | 0.478241 | − | 0.828337i | ||||
\(146\) | −6.47941 | − | 5.43687i | −0.536239 | − | 0.449958i | ||||
\(147\) | 6.69990 | + | 10.1050i | 0.552598 | + | 0.833448i | ||||
\(148\) | 2.76194 | + | 15.6637i | 0.227030 | + | 1.28755i | ||||
\(149\) | 2.22360 | − | 1.86582i | 0.182164 | − | 0.152854i | −0.547146 | − | 0.837037i | \(-0.684286\pi\) |
0.729310 | + | 0.684183i | \(0.239841\pi\) | |||||||
\(150\) | −0.176592 | − | 2.82178i | −0.0144187 | − | 0.230397i | ||||
\(151\) | 12.6978 | − | 4.62161i | 1.03333 | − | 0.376101i | 0.230982 | − | 0.972958i | \(-0.425806\pi\) |
0.802348 | + | 0.596857i | \(0.203584\pi\) | |||||||
\(152\) | −5.42273 | + | 9.39245i | −0.439842 | + | 0.761828i | ||||
\(153\) | 1.43123 | − | 1.54354i | 0.115708 | − | 0.124787i | ||||
\(154\) | 1.68431 | + | 1.68535i | 0.135725 | + | 0.135809i | ||||
\(155\) | 9.97230 | − | 3.62962i | 0.800994 | − | 0.291538i | ||||
\(156\) | 3.36608 | − | 11.4230i | 0.269502 | − | 0.914569i | ||||
\(157\) | −2.91833 | − | 16.5507i | −0.232908 | − | 1.32089i | −0.846974 | − | 0.531634i | \(-0.821578\pi\) |
0.614066 | − | 0.789255i | \(-0.289533\pi\) | |||||||
\(158\) | −3.89428 | + | 3.26769i | −0.309812 | + | 0.259964i | ||||
\(159\) | 11.6099 | + | 1.30616i | 0.920727 | + | 0.103585i | ||||
\(160\) | −2.67552 | + | 15.1736i | −0.211519 | + | 1.19958i | ||||
\(161\) | −9.82719 | + | 2.62992i | −0.774491 | + | 0.207267i | ||||
\(162\) | −2.21712 | − | 4.90490i | −0.174194 | − | 0.385365i | ||||
\(163\) | 7.85368 | + | 13.6030i | 0.615148 | + | 1.06547i | 0.990359 | + | 0.138528i | \(0.0442370\pi\) |
−0.375211 | + | 0.926939i | \(0.622430\pi\) | |||||||
\(164\) | 10.7276 | + | 9.00155i | 0.837687 | + | 0.702903i | ||||
\(165\) | −2.90070 | − | 6.64543i | −0.225819 | − | 0.517346i | ||||
\(166\) | −0.300806 | − | 1.70595i | −0.0233470 | − | 0.132408i | ||||
\(167\) | −4.13481 | + | 3.46951i | −0.319961 | + | 0.268479i | −0.788594 | − | 0.614914i | \(-0.789191\pi\) |
0.468634 | + | 0.883393i | \(0.344746\pi\) | |||||||
\(168\) | 0.250301 | − | 9.97949i | 0.0193112 | − | 0.769934i | ||||
\(169\) | −4.25349 | + | 1.54814i | −0.327191 | + | 0.119088i | ||||
\(170\) | 1.16669 | 0.0894810 | ||||||||
\(171\) | −10.1554 | + | 10.9523i | −0.776603 | + | 0.837540i | ||||
\(172\) | −12.9051 | −0.984006 | ||||||||
\(173\) | −2.12120 | + | 12.0299i | −0.161272 | + | 0.914618i | 0.791554 | + | 0.611099i | \(0.209272\pi\) |
−0.952826 | + | 0.303518i | \(0.901839\pi\) | |||||||
\(174\) | 3.57528 | − | 2.37370i | 0.271041 | − | 0.179950i | ||||
\(175\) | 4.14367 | − | 5.91386i | 0.313232 | − | 0.447046i | ||||
\(176\) | 0.518181 | + | 2.93875i | 0.0390594 | + | 0.221517i | ||||
\(177\) | 19.4617 | − | 12.9210i | 1.46283 | − | 0.971204i | ||||
\(178\) | 3.48906 | − | 1.26992i | 0.261516 | − | 0.0951842i | ||||
\(179\) | 25.5769 | 1.91171 | 0.955853 | − | 0.293845i | \(-0.0949350\pi\) | ||||
0.955853 | + | 0.293845i | \(0.0949350\pi\) | |||||||
\(180\) | −5.31640 | + | 12.6238i | −0.396261 | + | 0.940921i | ||||
\(181\) | 9.00898 | − | 15.6040i | 0.669632 | − | 1.15984i | −0.308374 | − | 0.951265i | \(-0.599785\pi\) |
0.978007 | − | 0.208572i | \(-0.0668817\pi\) | |||||||
\(182\) | −5.42768 | + | 3.79799i | −0.402326 | + | 0.281526i | ||||
\(183\) | 1.40574 | − | 4.77046i | 0.103915 | − | 0.352643i | ||||
\(184\) | 7.87084 | + | 2.86475i | 0.580246 | + | 0.211192i | ||||
\(185\) | −20.6260 | + | 17.3073i | −1.51645 | + | 1.27246i | ||||
\(186\) | 3.92942 | + | 0.442074i | 0.288119 | + | 0.0324144i | ||||
\(187\) | 0.992828 | − | 0.361360i | 0.0726028 | − | 0.0264252i | ||||
\(188\) | 16.7948 | 1.22489 | ||||||||
\(189\) | 3.38981 | − | 13.3233i | 0.246572 | − | 0.969124i | ||||
\(190\) | −8.27833 | −0.600573 | ||||||||
\(191\) | 9.96367 | − | 3.62648i | 0.720946 | − | 0.262403i | 0.0446184 | − | 0.999004i | \(-0.485793\pi\) |
0.676327 | + | 0.736601i | \(0.263571\pi\) | |||||||
\(192\) | 0.667291 | − | 0.904463i | 0.0481576 | − | 0.0652740i | ||||
\(193\) | 7.98149 | − | 6.69726i | 0.574520 | − | 0.482080i | −0.308622 | − | 0.951185i | \(-0.599868\pi\) |
0.883142 | + | 0.469105i | \(0.155423\pi\) | |||||||
\(194\) | −1.39913 | − | 0.509243i | −0.100452 | − | 0.0365615i | ||||
\(195\) | 19.5957 | − | 4.73383i | 1.40328 | − | 0.338997i | ||||
\(196\) | 7.39501 | − | 8.80194i | 0.528215 | − | 0.628710i | ||||
\(197\) | 12.6850 | − | 21.9712i | 0.903772 | − | 1.56538i | 0.0812156 | − | 0.996697i | \(-0.474120\pi\) |
0.822557 | − | 0.568683i | \(-0.192547\pi\) | |||||||
\(198\) | 0.133769 | − | 2.69842i | 0.00950651 | − | 0.191768i | ||||
\(199\) | 7.63927 | 0.541533 | 0.270767 | − | 0.962645i | \(-0.412723\pi\) | ||||
0.270767 | + | 0.962645i | \(0.412723\pi\) | |||||||
\(200\) | −5.58693 | + | 2.03347i | −0.395055 | + | 0.143788i | ||||
\(201\) | −0.0395861 | − | 0.632550i | −0.00279219 | − | 0.0446166i | ||||
\(202\) | −1.42451 | − | 8.07879i | −0.100228 | − | 0.568422i | ||||
\(203\) | 10.9187 | + | 0.958677i | 0.766344 | + | 0.0672859i | ||||
\(204\) | −1.78746 | − | 0.888041i | −0.125147 | − | 0.0621753i | ||||
\(205\) | −4.11659 | + | 23.3464i | −0.287515 | + | 1.63058i | ||||
\(206\) | 3.61588 | 0.251930 | ||||||||
\(207\) | 9.69188 | + | 6.25509i | 0.673632 | + | 0.434759i | ||||
\(208\) | −8.29652 | −0.575260 | ||||||||
\(209\) | −7.04468 | + | 2.56405i | −0.487291 | + | 0.177359i | ||||
\(210\) | 6.69233 | − | 3.64321i | 0.461814 | − | 0.251405i | ||||
\(211\) | −0.909797 | + | 0.763410i | −0.0626330 | + | 0.0525553i | −0.673567 | − | 0.739126i | \(-0.735239\pi\) |
0.610934 | + | 0.791682i | \(0.290794\pi\) | |||||||
\(212\) | −1.92364 | − | 10.9095i | −0.132116 | − | 0.749266i | ||||
\(213\) | −5.78548 | + | 7.84178i | −0.396414 | + | 0.537310i | ||||
\(214\) | −1.57395 | − | 1.32070i | −0.107593 | − | 0.0902812i | ||||
\(215\) | −10.9232 | − | 18.9195i | −0.744956 | − | 1.29030i | ||||
\(216\) | −8.57595 | + | 7.38769i | −0.583520 | + | 0.502669i | ||||
\(217\) | 7.13902 | + | 7.14345i | 0.484628 | + | 0.484929i | ||||
\(218\) | 0.570239 | − | 3.23399i | 0.0386215 | − | 0.219033i | ||||
\(219\) | −14.5425 | + | 19.7113i | −0.982691 | + | 1.33197i | ||||
\(220\) | −5.26671 | + | 4.41929i | −0.355081 | + | 0.297948i | ||||
\(221\) | 0.510086 | + | 2.89284i | 0.0343121 | + | 0.194594i | ||||
\(222\) | −9.75201 | + | 2.35584i | −0.654512 | + | 0.158114i | ||||
\(223\) | −3.14405 | + | 1.14434i | −0.210541 | + | 0.0766308i | −0.445138 | − | 0.895462i | \(-0.646845\pi\) |
0.234597 | + | 0.972093i | \(0.424623\pi\) | |||||||
\(224\) | −14.1644 | + | 3.79062i | −0.946396 | + | 0.253271i | ||||
\(225\) | −8.12403 | + | 1.02083i | −0.541602 | + | 0.0680554i | ||||
\(226\) | 3.88842 | − | 6.73495i | 0.258654 | − | 0.448002i | ||||
\(227\) | −18.3436 | + | 6.67653i | −1.21751 | + | 0.443137i | −0.869302 | − | 0.494281i | \(-0.835431\pi\) |
−0.348207 | + | 0.937418i | \(0.613209\pi\) | |||||||
\(228\) | 12.6830 | + | 6.30115i | 0.839954 | + | 0.417304i | ||||
\(229\) | −6.53643 | + | 5.48471i | −0.431939 | + | 0.362440i | −0.832683 | − | 0.553750i | \(-0.813196\pi\) |
0.400744 | + | 0.916190i | \(0.368752\pi\) | |||||||
\(230\) | 1.11020 | + | 6.29624i | 0.0732042 | + | 0.415162i | ||||
\(231\) | 4.56661 | − | 5.17311i | 0.300461 | − | 0.340366i | ||||
\(232\) | −6.91320 | − | 5.80087i | −0.453874 | − | 0.380846i | ||||
\(233\) | −3.05280 | + | 5.28761i | −0.199996 | + | 0.346403i | −0.948527 | − | 0.316697i | \(-0.897426\pi\) |
0.748531 | + | 0.663100i | \(0.230760\pi\) | |||||||
\(234\) | 7.32375 | + | 1.66902i | 0.478768 | + | 0.109107i | ||||
\(235\) | 14.2155 | + | 24.6220i | 0.927317 | + | 1.60616i | ||||
\(236\) | −16.9679 | − | 14.2377i | −1.10451 | − | 0.926798i | ||||
\(237\) | 10.1492 | + | 10.6648i | 0.659263 | + | 0.692754i | ||||
\(238\) | 0.468914 | + | 1.00640i | 0.0303952 | + | 0.0652355i | ||||
\(239\) | 10.6651 | + | 3.88179i | 0.689870 | + | 0.251092i | 0.663080 | − | 0.748549i | \(-0.269249\pi\) |
0.0267904 | + | 0.999641i | \(0.491471\pi\) | |||||||
\(240\) | 9.48306 | + | 1.06688i | 0.612129 | + | 0.0688668i | ||||
\(241\) | 3.51665 | + | 2.95082i | 0.226527 | + | 0.190079i | 0.748986 | − | 0.662585i | \(-0.230541\pi\) |
−0.522459 | + | 0.852664i | \(0.674985\pi\) | |||||||
\(242\) | −2.61140 | + | 4.52308i | −0.167867 | + | 0.290755i | ||||
\(243\) | −13.7759 | + | 7.29551i | −0.883725 | + | 0.468007i | ||||
\(244\) | −4.71557 | −0.301883 | ||||||||
\(245\) | 19.1634 | + | 3.39128i | 1.22430 | + | 0.216661i | ||||
\(246\) | −5.24414 | + | 7.10804i | −0.334354 | + | 0.453192i | ||||
\(247\) | −3.61935 | − | 20.5264i | −0.230294 | − | 1.30606i | ||||
\(248\) | −1.44392 | − | 8.18890i | −0.0916893 | − | 0.519996i | ||||
\(249\) | −4.87642 | + | 1.17802i | −0.309030 | + | 0.0746539i | ||||
\(250\) | 2.89229 | + | 2.42692i | 0.182925 | + | 0.153492i | ||||
\(251\) | −3.82321 | + | 6.62199i | −0.241319 | + | 0.417976i | −0.961090 | − | 0.276235i | \(-0.910913\pi\) |
0.719772 | + | 0.694211i | \(0.244247\pi\) | |||||||
\(252\) | −13.0262 | + | 0.487721i | −0.820575 | + | 0.0307235i | ||||
\(253\) | 2.89489 | + | 5.01410i | 0.182000 | + | 0.315234i | ||||
\(254\) | −1.34761 | + | 7.64268i | −0.0845566 | + | 0.479544i | ||||
\(255\) | −0.211036 | − | 3.37216i | −0.0132156 | − | 0.211173i | ||||
\(256\) | 5.22789 | + | 1.90280i | 0.326743 | + | 0.118925i | ||||
\(257\) | −13.3103 | + | 11.1687i | −0.830276 | + | 0.696684i | −0.955354 | − | 0.295463i | \(-0.904526\pi\) |
0.125078 | + | 0.992147i | \(0.460082\pi\) | |||||||
\(258\) | −0.508427 | − | 8.12420i | −0.0316533 | − | 0.505791i | ||||
\(259\) | −23.2195 | − | 10.8362i | −1.44279 | − | 0.673328i | ||||
\(260\) | −9.55740 | − | 16.5539i | −0.592725 | − | 1.02663i | ||||
\(261\) | −7.50757 | − | 9.90449i | −0.464707 | − | 0.613073i | ||||
\(262\) | −2.06037 | − | 3.56867i | −0.127290 | − | 0.220473i | ||||
\(263\) | 3.36122 | − | 19.0624i | 0.207262 | − | 1.17544i | −0.686579 | − | 0.727056i | \(-0.740888\pi\) |
0.893841 | − | 0.448385i | \(-0.148001\pi\) | |||||||
\(264\) | −5.52257 | + | 1.33411i | −0.339891 | + | 0.0821090i | ||||
\(265\) | 14.3656 | − | 12.0542i | 0.882472 | − | 0.740482i | ||||
\(266\) | −3.32721 | − | 7.14102i | −0.204005 | − | 0.437844i | ||||
\(267\) | −4.30163 | − | 9.85496i | −0.263256 | − | 0.603113i | ||||
\(268\) | −0.564704 | + | 0.205536i | −0.0344948 | + | 0.0125551i | ||||
\(269\) | 7.37656 | − | 12.7766i | 0.449757 | − | 0.779001i | −0.548613 | − | 0.836076i | \(-0.684844\pi\) |
0.998370 | + | 0.0570748i | \(0.0181774\pi\) | |||||||
\(270\) | −8.15654 | − | 2.84951i | −0.496391 | − | 0.173415i | ||||
\(271\) | −3.19595 | − | 5.53555i | −0.194140 | − | 0.336261i | 0.752478 | − | 0.658617i | \(-0.228858\pi\) |
−0.946618 | + | 0.322356i | \(0.895525\pi\) | |||||||
\(272\) | −0.241460 | + | 1.36939i | −0.0146407 | + | 0.0830313i | ||||
\(273\) | 11.9594 | + | 15.0010i | 0.723814 | + | 0.907900i | ||||
\(274\) | 7.03911 | + | 2.56202i | 0.425248 | + | 0.154778i | ||||
\(275\) | −3.86189 | − | 1.40561i | −0.232881 | − | 0.0847617i | ||||
\(276\) | 3.09156 | − | 10.4914i | 0.186090 | − | 0.631506i | ||||
\(277\) | −2.67056 | + | 15.1455i | −0.160458 | + | 0.910005i | 0.793166 | + | 0.609006i | \(0.208431\pi\) |
−0.953624 | + | 0.300999i | \(0.902680\pi\) | |||||||
\(278\) | −6.25492 | −0.375145 | ||||||||
\(279\) | 0.566985 | − | 11.4374i | 0.0339445 | − | 0.684739i | ||||
\(280\) | −11.3267 | − | 11.3338i | −0.676902 | − | 0.677322i | ||||
\(281\) | −17.9586 | − | 15.0691i | −1.07132 | − | 0.898945i | −0.0761491 | − | 0.997096i | \(-0.524263\pi\) |
−0.995171 | + | 0.0981517i | \(0.968707\pi\) | |||||||
\(282\) | 0.661669 | + | 10.5729i | 0.0394018 | + | 0.629605i | ||||
\(283\) | 0.668422 | + | 0.243286i | 0.0397335 | + | 0.0144618i | 0.361810 | − | 0.932252i | \(-0.382159\pi\) |
−0.322077 | + | 0.946714i | \(0.604381\pi\) | |||||||
\(284\) | 8.68281 | + | 3.16028i | 0.515230 | + | 0.187528i | ||||
\(285\) | 1.49742 | + | 23.9274i | 0.0886994 | + | 1.41734i | ||||
\(286\) | 2.88817 | + | 2.42346i | 0.170781 | + | 0.143302i | ||||
\(287\) | −21.7935 | + | 5.83230i | −1.28643 | + | 0.344270i | ||||
\(288\) | 13.9693 | + | 9.01574i | 0.823151 | + | 0.531257i | ||||
\(289\) | −16.5077 | −0.971040 | ||||||||
\(290\) | 1.19616 | − | 6.78377i | 0.0702411 | − | 0.398357i | ||||
\(291\) | −1.21882 | + | 4.13612i | −0.0714482 | + | 0.242463i | ||||
\(292\) | 21.8253 | + | 7.94376i | 1.27723 | + | 0.464873i | ||||
\(293\) | −13.8960 | − | 5.05772i | −0.811811 | − | 0.295475i | −0.0974395 | − | 0.995241i | \(-0.531065\pi\) |
−0.714372 | + | 0.699766i | \(0.753287\pi\) | |||||||
\(294\) | 5.83246 | + | 4.30863i | 0.340156 | + | 0.251285i | ||||
\(295\) | 6.51120 | − | 36.9269i | 0.379097 | − | 2.14997i | ||||
\(296\) | 10.5486 | + | 18.2708i | 0.613126 | + | 1.06197i | ||||
\(297\) | −7.82362 | + | 0.101462i | −0.453972 | + | 0.00588744i | ||||
\(298\) | 0.868024 | − | 1.50346i | 0.0502833 | − | 0.0870932i | ||||
\(299\) | −15.1263 | + | 5.50553i | −0.874778 | + | 0.318393i | ||||
\(300\) | 3.10581 | + | 7.11534i | 0.179314 | + | 0.410804i | ||||
\(301\) | 11.9300 | − | 17.0266i | 0.687636 | − | 0.981398i | ||||
\(302\) | 6.19091 | − | 5.19479i | 0.356247 | − | 0.298927i | ||||
\(303\) | −23.0930 | + | 5.57867i | −1.32666 | + | 0.320486i | ||||
\(304\) | 1.71330 | − | 9.71658i | 0.0982643 | − | 0.557284i | ||||
\(305\) | −3.99137 | − | 6.91325i | −0.228545 | − | 0.395852i | ||||
\(306\) | 0.488630 | − | 1.16025i | 0.0279331 | − | 0.0663271i | ||||
\(307\) | 8.96372 | + | 15.5256i | 0.511586 | + | 0.886094i | 0.999910 | + | 0.0134308i | \(0.00427529\pi\) |
−0.488323 | + | 0.872663i | \(0.662391\pi\) | |||||||
\(308\) | −5.92894 | − | 2.76695i | −0.337832 | − | 0.157661i | ||||
\(309\) | −0.654056 | − | 10.4512i | −0.0372079 | − | 0.594549i | ||||
\(310\) | 4.86209 | − | 4.07977i | 0.276148 | − | 0.231716i | ||||
\(311\) | 20.0969 | + | 7.31467i | 1.13959 | + | 0.414777i | 0.841765 | − | 0.539844i | \(-0.181517\pi\) |
0.297825 | + | 0.954621i | \(0.403739\pi\) | |||||||
\(312\) | −0.986603 | − | 15.7650i | −0.0558554 | − | 0.892518i | ||||
\(313\) | 1.39665 | − | 7.92081i | 0.0789435 | − | 0.447711i | −0.919556 | − | 0.392958i | \(-0.871452\pi\) |
0.998500 | − | 0.0547528i | \(-0.0174371\pi\) | |||||||
\(314\) | −5.02567 | − | 8.70471i | −0.283615 | − | 0.491235i | ||||
\(315\) | −11.7407 | − | 18.6843i | −0.661515 | − | 1.05274i | ||||
\(316\) | 6.97970 | − | 12.0892i | 0.392639 | − | 0.680070i | ||||
\(317\) | −17.3949 | − | 14.5961i | −0.976996 | − | 0.819797i | 0.00663760 | − | 0.999978i | \(-0.497887\pi\) |
−0.983633 | + | 0.180181i | \(0.942332\pi\) | |||||||
\(318\) | 6.79209 | − | 1.64080i | 0.380882 | − | 0.0920113i | ||||
\(319\) | −1.08324 | − | 6.14333i | −0.0606495 | − | 0.343961i | ||||
\(320\) | −0.313284 | − | 1.77672i | −0.0175131 | − | 0.0993218i | ||||
\(321\) | −3.53260 | + | 4.78818i | −0.197171 | + | 0.267250i | ||||
\(322\) | −4.98503 | + | 3.48825i | −0.277805 | + | 0.194393i | ||||
\(323\) | −3.49333 | −0.194374 | ||||||||
\(324\) | 10.3275 | + | 10.5741i | 0.573750 | + | 0.587451i | ||||
\(325\) | 5.71307 | − | 9.89532i | 0.316904 | − | 0.548894i | ||||
\(326\) | 7.19642 | + | 6.03851i | 0.398573 | + | 0.334442i | ||||
\(327\) | −9.45055 | − | 1.06322i | −0.522617 | − | 0.0587963i | ||||
\(328\) | 17.4549 | + | 6.35308i | 0.963787 | + | 0.350790i | ||||
\(329\) | −15.5258 | + | 22.1585i | −0.855966 | + | 1.22164i | ||||
\(330\) | −2.98958 | − | 3.14146i | −0.164571 | − | 0.172932i | ||||
\(331\) | 0.469980 | + | 0.394360i | 0.0258324 | + | 0.0216760i | 0.655612 | − | 0.755098i | \(-0.272411\pi\) |
−0.629780 | + | 0.776774i | \(0.716855\pi\) | |||||||
\(332\) | 2.37837 | + | 4.11945i | 0.130530 | + | 0.226084i | ||||
\(333\) | 8.57322 | + | 27.7607i | 0.469809 | + | 1.52128i | ||||
\(334\) | −1.61410 | + | 2.79570i | −0.0883196 | + | 0.152974i | ||||
\(335\) | −0.779304 | − | 0.653914i | −0.0425779 | − | 0.0357271i | ||||
\(336\) | 2.89111 | + | 8.60904i | 0.157723 | + | 0.469661i | ||||
\(337\) | 4.81528 | + | 27.3088i | 0.262305 | + | 1.48761i | 0.776601 | + | 0.629993i | \(0.216942\pi\) |
−0.514295 | + | 0.857613i | \(0.671946\pi\) | |||||||
\(338\) | −2.07383 | + | 1.74015i | −0.112801 | + | 0.0946516i | ||||
\(339\) | −20.1698 | − | 10.0207i | −1.09547 | − | 0.544251i | ||||
\(340\) | −3.01047 | + | 1.09572i | −0.163266 | + | 0.0594239i | ||||
\(341\) | 2.87390 | − | 4.97774i | 0.155630 | − | 0.269560i | ||||
\(342\) | −3.46711 | + | 8.23264i | −0.187480 | + | 0.445170i | ||||
\(343\) | 4.77675 | + | 17.8936i | 0.257920 | + | 0.966166i | ||||
\(344\) | −16.0853 | + | 5.85459i | −0.867263 | + | 0.315658i | ||||
\(345\) | 17.9976 | − | 4.34776i | 0.968959 | − | 0.234076i | ||||
\(346\) | 1.26865 | + | 7.19485i | 0.0682029 | + | 0.386798i | ||||
\(347\) | 11.1683 | − | 9.37128i | 0.599544 | − | 0.503077i | −0.291755 | − | 0.956493i | \(-0.594239\pi\) |
0.891299 | + | 0.453416i | \(0.149795\pi\) | |||||||
\(348\) | −6.99617 | + | 9.48279i | −0.375034 | + | 0.508331i | ||||
\(349\) | 1.23293 | − | 6.99229i | 0.0659972 | − | 0.374289i | −0.933864 | − | 0.357628i | \(-0.883586\pi\) |
0.999861 | − | 0.0166603i | \(-0.00530339\pi\) | |||||||
\(350\) | 1.11907 | − | 4.17127i | 0.0598170 | − | 0.222964i | ||||
\(351\) | 3.49933 | − | 21.4702i | 0.186781 | − | 1.14599i | ||||
\(352\) | 4.17254 | + | 7.22705i | 0.222397 | + | 0.385203i | ||||
\(353\) | −19.1989 | − | 16.1098i | −1.02186 | − | 0.857438i | −0.0319957 | − | 0.999488i | \(-0.510186\pi\) |
−0.989860 | + | 0.142050i | \(0.954631\pi\) | |||||||
\(354\) | 8.29464 | − | 11.2428i | 0.440855 | − | 0.597546i | ||||
\(355\) | 2.71620 | + | 15.4044i | 0.144161 | + | 0.817578i | ||||
\(356\) | −7.81035 | + | 6.55366i | −0.413947 | + | 0.347343i | ||||
\(357\) | 2.82406 | − | 1.53738i | 0.149465 | − | 0.0813666i | ||||
\(358\) | 14.3745 | − | 5.23189i | 0.759716 | − | 0.276514i | ||||
\(359\) | −20.5271 | −1.08338 | −0.541689 | − | 0.840579i | \(-0.682215\pi\) | ||||
−0.541689 | + | 0.840579i | \(0.682215\pi\) | |||||||
\(360\) | −0.899575 | + | 18.1465i | −0.0474118 | + | 0.956406i | ||||
\(361\) | 5.78713 | 0.304586 | ||||||||
\(362\) | 1.87127 | − | 10.6125i | 0.0983515 | − | 0.557779i | ||||
\(363\) | 13.5457 | + | 6.72975i | 0.710966 | + | 0.353220i | ||||
\(364\) | 10.4384 | − | 14.8977i | 0.547119 | − | 0.780851i | ||||
\(365\) | 6.82751 | + | 38.7207i | 0.357368 | + | 2.02674i | ||||
\(366\) | −0.185781 | − | 2.96861i | −0.00971092 | − | 0.155172i | ||||
\(367\) | −22.6188 | + | 8.23258i | −1.18069 | + | 0.429737i | −0.856447 | − | 0.516236i | \(-0.827333\pi\) |
−0.324246 | + | 0.945973i | \(0.605111\pi\) | |||||||
\(368\) | −7.61990 | −0.397215 | ||||||||
\(369\) | 21.4934 | + | 13.8717i | 1.11890 | + | 0.722133i | ||||
\(370\) | −8.05175 | + | 13.9460i | −0.418591 | + | 0.725020i | ||||
\(371\) | 16.1719 | + | 7.54720i | 0.839605 | + | 0.391831i | ||||
\(372\) | −10.5545 | + | 2.54969i | −0.547223 | + | 0.132195i | ||||
\(373\) | −7.40933 | − | 2.69677i | −0.383640 | − | 0.139634i | 0.142998 | − | 0.989723i | \(-0.454326\pi\) |
−0.526639 | + | 0.850089i | \(0.676548\pi\) | |||||||
\(374\) | 0.484062 | − | 0.406177i | 0.0250303 | − | 0.0210029i | ||||
\(375\) | 6.49152 | − | 8.79877i | 0.335221 | − | 0.454367i | ||||
\(376\) | 20.9335 | − | 7.61918i | 1.07956 | − | 0.392929i | ||||
\(377\) | 17.3435 | 0.893237 | ||||||||
\(378\) | −0.820235 | − | 8.18123i | −0.0421883 | − | 0.420797i | ||||
\(379\) | −30.3005 | −1.55643 | −0.778216 | − | 0.627997i | \(-0.783875\pi\) | ||||
−0.778216 | + | 0.627997i | \(0.783875\pi\) | |||||||
\(380\) | 21.3610 | − | 7.77477i | 1.09580 | − | 0.398837i | ||||
\(381\) | 22.3339 | + | 2.51264i | 1.14420 | + | 0.128727i | ||||
\(382\) | 4.85788 | − | 4.07624i | 0.248551 | − | 0.208559i | ||||
\(383\) | 17.4558 | + | 6.35340i | 0.891951 | + | 0.324644i | 0.747023 | − | 0.664799i | \(-0.231483\pi\) |
0.144928 | + | 0.989442i | \(0.453705\pi\) | |||||||
\(384\) | 5.61654 | − | 19.0600i | 0.286618 | − | 0.972654i | ||||
\(385\) | −0.961911 | − | 11.0341i | −0.0490235 | − | 0.562351i | ||||
\(386\) | 3.11573 | − | 5.39660i | 0.158586 | − | 0.274679i | ||||
\(387\) | −23.3899 | + | 2.93908i | −1.18898 | + | 0.149402i | ||||
\(388\) | 4.08852 | 0.207563 | ||||||||
\(389\) | −12.1623 | + | 4.42672i | −0.616653 | + | 0.224443i | −0.631412 | − | 0.775448i | \(-0.717524\pi\) |
0.0147586 | + | 0.999891i | \(0.495302\pi\) | |||||||
\(390\) | 10.0447 | − | 6.66888i | 0.508633 | − | 0.337692i | ||||
\(391\) | 0.468486 | + | 2.65691i | 0.0236923 | + | 0.134366i | ||||
\(392\) | 5.22425 | − | 14.3259i | 0.263865 | − | 0.723565i | ||||
\(393\) | −9.94208 | + | 6.60075i | −0.501511 | + | 0.332964i | ||||
\(394\) | 2.63482 | − | 14.9428i | 0.132741 | − | 0.752809i | ||||
\(395\) | 23.6311 | 1.18901 | ||||||||
\(396\) | 2.18911 | + | 7.08851i | 0.110007 | + | 0.356211i | ||||
\(397\) | 16.8064 | 0.843491 | 0.421745 | − | 0.906714i | \(-0.361418\pi\) | ||||
0.421745 | + | 0.906714i | \(0.361418\pi\) | |||||||
\(398\) | 4.29336 | − | 1.56265i | 0.215206 | − | 0.0783287i | ||||
\(399\) | −20.0383 | + | 10.9086i | −1.00317 | + | 0.546111i | ||||
\(400\) | 4.14338 | − | 3.47671i | 0.207169 | − | 0.173836i | ||||
\(401\) | −1.03346 | − | 5.86107i | −0.0516087 | − | 0.292688i | 0.948069 | − | 0.318064i | \(-0.103033\pi\) |
−0.999678 | + | 0.0253763i | \(0.991922\pi\) | |||||||
\(402\) | −0.151639 | − | 0.347403i | −0.00756308 | − | 0.0173269i | ||||
\(403\) | 12.2417 | + | 10.2720i | 0.609801 | + | 0.511683i | ||||
\(404\) | 11.2631 | + | 19.5083i | 0.560360 | + | 0.970572i | ||||
\(405\) | −6.76072 | + | 24.0908i | −0.335943 | + | 1.19708i | ||||
\(406\) | 6.33255 | − | 1.69470i | 0.314279 | − | 0.0841064i | ||||
\(407\) | −2.53235 | + | 14.3617i | −0.125524 | + | 0.711881i | ||||
\(408\) | −2.63082 | − | 0.295976i | −0.130245 | − | 0.0146530i | ||||
\(409\) | −24.2211 | + | 20.3239i | −1.19766 | + | 1.00495i | −0.197962 | + | 0.980210i | \(0.563432\pi\) |
−0.999694 | + | 0.0247432i | \(0.992123\pi\) | |||||||
\(410\) | 2.46205 | + | 13.9630i | 0.121592 | + | 0.689583i | ||||
\(411\) | 6.13192 | − | 20.8090i | 0.302465 | − | 1.02643i | ||||
\(412\) | −9.33025 | + | 3.39593i | −0.459668 | + | 0.167306i | ||||
\(413\) | 34.4707 | − | 9.22493i | 1.69619 | − | 0.453929i | ||||
\(414\) | 6.72646 | + | 1.53291i | 0.330587 | + | 0.0753382i | ||||
\(415\) | −4.02621 | + | 6.97361i | −0.197639 | + | 0.342321i | ||||
\(416\) | −21.8022 | + | 7.93537i | −1.06894 | + | 0.389063i | ||||
\(417\) | 1.13142 | + | 18.0790i | 0.0554057 | + | 0.885332i | ||||
\(418\) | −3.43470 | + | 2.88205i | −0.167997 | + | 0.140966i | ||||
\(419\) | −0.614976 | − | 3.48770i | −0.0300436 | − | 0.170385i | 0.966094 | − | 0.258190i | \(-0.0831260\pi\) |
−0.996138 | + | 0.0878045i | \(0.972015\pi\) | |||||||
\(420\) | −13.8470 | + | 15.6860i | −0.675663 | + | 0.765398i | ||||
\(421\) | −8.23112 | − | 6.90673i | −0.401160 | − | 0.336613i | 0.419782 | − | 0.907625i | \(-0.362107\pi\) |
−0.820942 | + | 0.571012i | \(0.806551\pi\) | |||||||
\(422\) | −0.355156 | + | 0.615149i | −0.0172887 | + | 0.0299450i | ||||
\(423\) | 30.4398 | − | 3.82493i | 1.48003 | − | 0.185974i | ||||
\(424\) | −7.34691 | − | 12.7252i | −0.356798 | − | 0.617992i | ||||
\(425\) | −1.46701 | − | 1.23096i | −0.0711602 | − | 0.0597105i | ||||
\(426\) | −1.64742 | + | 5.59062i | −0.0798180 | + | 0.270867i | ||||
\(427\) | 4.35927 | − | 6.22158i | 0.210960 | − | 0.301083i | ||||
\(428\) | 5.30171 | + | 1.92966i | 0.256268 | + | 0.0932738i | ||||
\(429\) | 6.48226 | − | 8.78623i | 0.312967 | − | 0.424203i | ||||
\(430\) | −10.0091 | − | 8.39859i | −0.482679 | − | 0.405016i | ||||
\(431\) | 18.9469 | − | 32.8171i | 0.912642 | − | 1.58074i | 0.102324 | − | 0.994751i | \(-0.467372\pi\) |
0.810318 | − | 0.585991i | \(-0.199295\pi\) | |||||||
\(432\) | 5.03266 | − | 8.98390i | 0.242134 | − | 0.432238i | ||||
\(433\) | −36.3029 | −1.74461 | −0.872303 | − | 0.488966i | \(-0.837374\pi\) | ||||
−0.872303 | + | 0.488966i | \(0.837374\pi\) | |||||||
\(434\) | 5.47344 | + | 2.55437i | 0.262734 | + | 0.122614i | ||||
\(435\) | −19.8239 | − | 2.23027i | −0.950485 | − | 0.106933i | ||||
\(436\) | 1.56585 | + | 8.88038i | 0.0749907 | + | 0.425293i | ||||
\(437\) | −3.32417 | − | 18.8523i | −0.159017 | − | 0.901829i | ||||
\(438\) | −4.14100 | + | 14.0527i | −0.197865 | + | 0.671465i | ||||
\(439\) | −1.92261 | − | 1.61326i | −0.0917611 | − | 0.0769967i | 0.595753 | − | 0.803168i | \(-0.296854\pi\) |
−0.687514 | + | 0.726171i | \(0.741298\pi\) | |||||||
\(440\) | −4.55971 | + | 7.89766i | −0.217376 | + | 0.376506i | ||||
\(441\) | 11.3985 | − | 17.6373i | 0.542787 | − | 0.839871i | ||||
\(442\) | 0.878420 | + | 1.52147i | 0.0417822 | + | 0.0723689i | ||||
\(443\) | 2.01929 | − | 11.4520i | 0.0959395 | − | 0.544100i | −0.898516 | − | 0.438941i | \(-0.855354\pi\) |
0.994455 | − | 0.105159i | \(-0.0335352\pi\) | |||||||
\(444\) | 22.9511 | − | 15.2377i | 1.08921 | − | 0.723150i | ||||
\(445\) | −16.2188 | − | 5.90317i | −0.768847 | − | 0.279837i | ||||
\(446\) | −1.53291 | + | 1.28627i | −0.0725855 | + | 0.0609065i | ||||
\(447\) | −4.50256 | − | 2.23695i | −0.212964 | − | 0.105804i | ||||
\(448\) | 1.40671 | − | 0.984341i | 0.0664610 | − | 0.0465058i | ||||
\(449\) | 0.711782 | + | 1.23284i | 0.0335911 | + | 0.0581814i | 0.882332 | − | 0.470627i | \(-0.155972\pi\) |
−0.848741 | + | 0.528809i | \(0.822639\pi\) | |||||||
\(450\) | −4.35698 | + | 2.23553i | −0.205390 | + | 0.105384i | ||||
\(451\) | 6.41992 | + | 11.1196i | 0.302302 | + | 0.523603i | ||||
\(452\) | −3.70823 | + | 21.0304i | −0.174421 | + | 0.989189i | ||||
\(453\) | −16.1347 | − | 16.9543i | −0.758073 | − | 0.796584i | ||||
\(454\) | −8.94360 | + | 7.50457i | −0.419744 | + | 0.352207i | ||||
\(455\) | 30.6760 | + | 2.69339i | 1.43811 | + | 0.126268i | ||||
\(456\) | 18.6671 | + | 2.10012i | 0.874169 | + | 0.0983472i | ||||
\(457\) | −6.67794 | + | 2.43057i | −0.312381 | + | 0.113697i | −0.493453 | − | 0.869772i | \(-0.664266\pi\) |
0.181072 | + | 0.983470i | \(0.442043\pi\) | |||||||
\(458\) | −2.55162 | + | 4.41953i | −0.119229 | + | 0.206511i | ||||
\(459\) | −3.44193 | − | 1.20245i | −0.160656 | − | 0.0561254i | ||||
\(460\) | −8.77795 | − | 15.2039i | −0.409274 | − | 0.708883i | ||||
\(461\) | 0.871906 | − | 4.94482i | 0.0406087 | − | 0.230303i | −0.957748 | − | 0.287609i | \(-0.907140\pi\) |
0.998357 | + | 0.0573053i | \(0.0182508\pi\) | |||||||
\(462\) | 1.50830 | − | 3.84147i | 0.0701725 | − | 0.178721i | ||||
\(463\) | 34.7002 | + | 12.6298i | 1.61266 | + | 0.586958i | 0.981963 | − | 0.189075i | \(-0.0605488\pi\) |
0.630692 | + | 0.776033i | \(0.282771\pi\) | |||||||
\(464\) | 7.71481 | + | 2.80796i | 0.358151 | + | 0.130356i | ||||
\(465\) | −12.6715 | − | 13.3152i | −0.587627 | − | 0.617479i | ||||
\(466\) | −0.634101 | + | 3.59617i | −0.0293742 | + | 0.166589i | ||||
\(467\) | 32.1642 | 1.48838 | 0.744190 | − | 0.667968i | \(-0.232836\pi\) | ||||
0.744190 | + | 0.667968i | \(0.232836\pi\) | |||||||
\(468\) | −20.4654 | + | 2.57159i | −0.946011 | + | 0.118872i | ||||
\(469\) | 0.250859 | − | 0.935060i | 0.0115836 | − | 0.0431771i | ||||
\(470\) | 13.0258 | + | 10.9300i | 0.600837 | + | 0.504162i | ||||
\(471\) | −24.2507 | + | 16.1006i | −1.11741 | + | 0.741874i | ||||
\(472\) | −27.6084 | − | 10.0486i | −1.27078 | − | 0.462526i | ||||
\(473\) | −11.1188 | − | 4.04691i | −0.511242 | − | 0.186077i | ||||
\(474\) | 7.88553 | + | 3.91767i | 0.362194 | + | 0.179945i | ||||
\(475\) | 10.4092 | + | 8.73439i | 0.477609 | + | 0.400761i | ||||
\(476\) | −2.15515 | − | 2.15649i | −0.0987812 | − | 0.0988425i | ||||
\(477\) | −5.97108 | − | 19.3348i | −0.273397 | − | 0.885281i | ||||
\(478\) | 6.78797 | 0.310474 | ||||||||
\(479\) | 1.02448 | − | 5.81013i | 0.0468098 | − | 0.265472i | −0.952417 | − | 0.304800i | \(-0.901411\pi\) |
0.999226 | + | 0.0393278i | \(0.0125216\pi\) | |||||||
\(480\) | 25.9408 | − | 6.26663i | 1.18403 | − | 0.286031i | ||||
\(481\) | −38.0999 | − | 13.8672i | −1.73721 | − | 0.632291i | ||||
\(482\) | 2.58000 | + | 0.939044i | 0.117516 | + | 0.0427723i | ||||
\(483\) | 10.9840 | + | 13.7776i | 0.499790 | + | 0.626901i | ||||
\(484\) | 2.49039 | − | 14.1237i | 0.113200 | − | 0.641986i | ||||
\(485\) | 3.46062 | + | 5.99397i | 0.157139 | + | 0.272172i | ||||
\(486\) | −6.24988 | + | 6.91810i | −0.283500 | + | 0.313811i | ||||
\(487\) | −1.03637 | + | 1.79505i | −0.0469626 | + | 0.0813416i | −0.888551 | − | 0.458778i | \(-0.848287\pi\) |
0.841589 | + | 0.540119i | \(0.181621\pi\) | |||||||
\(488\) | −5.87763 | + | 2.13928i | −0.266068 | + | 0.0968408i | ||||
\(489\) | 16.1518 | − | 21.8925i | 0.730409 | − | 0.990015i | ||||
\(490\) | 11.4637 | − | 2.01404i | 0.517879 | − | 0.0909849i | ||||
\(491\) | 17.9941 | − | 15.0989i | 0.812064 | − | 0.681403i | −0.139035 | − | 0.990287i | \(-0.544400\pi\) |
0.951100 | + | 0.308885i | \(0.0999557\pi\) | |||||||
\(492\) | 6.85605 | − | 23.2664i | 0.309095 | − | 1.04893i | ||||
\(493\) | 0.504762 | − | 2.86265i | 0.0227333 | − | 0.128927i | ||||
\(494\) | −6.23289 | − | 10.7957i | −0.280431 | − | 0.485721i | ||||
\(495\) | −8.53919 | + | 9.20922i | −0.383808 | + | 0.413924i | ||||
\(496\) | 3.78232 | + | 6.55117i | 0.169831 | + | 0.294156i | ||||
\(497\) | −12.1963 | + | 8.53434i | −0.547081 | + | 0.382817i | ||||
\(498\) | −2.49963 | + | 1.65956i | −0.112011 | + | 0.0743665i | ||||
\(499\) | 19.2627 | − | 16.1633i | 0.862315 | − | 0.723568i | −0.100151 | − | 0.994972i | \(-0.531932\pi\) |
0.962465 | + | 0.271404i | \(0.0874880\pi\) | |||||||
\(500\) | −9.74243 | − | 3.54596i | −0.435695 | − | 0.158580i | ||||
\(501\) | 8.37256 | + | 4.15964i | 0.374059 | + | 0.185839i | ||||
\(502\) | −0.794122 | + | 4.50369i | −0.0354434 | + | 0.201009i | ||||
\(503\) | −3.60701 | − | 6.24753i | −0.160829 | − | 0.278563i | 0.774337 | − | 0.632773i | \(-0.218083\pi\) |
−0.935166 | + | 0.354209i | \(0.884750\pi\) | |||||||
\(504\) | −16.0150 | + | 6.51744i | −0.713366 | + | 0.290310i | ||||
\(505\) | −19.0667 | + | 33.0245i | −0.848457 | + | 1.46957i | ||||
\(506\) | 2.65262 | + | 2.22582i | 0.117924 | + | 0.0989496i | ||||
\(507\) | 5.40478 | + | 5.67935i | 0.240035 | + | 0.252229i | ||||
\(508\) | −3.70048 | − | 20.9864i | −0.164182 | − | 0.931123i | ||||
\(509\) | 4.73976 | + | 26.8805i | 0.210086 | + | 1.19146i | 0.889233 | + | 0.457455i | \(0.151239\pi\) |
−0.679147 | + | 0.734002i | \(0.737650\pi\) | |||||||
\(510\) | −0.808398 | − | 1.85202i | −0.0357965 | − | 0.0820089i | ||||
\(511\) | −30.6570 | + | 21.4521i | −1.35619 | + | 0.948985i | ||||
\(512\) | −19.6169 | −0.866955 | ||||||||
\(513\) | 24.4225 | + | 8.53205i | 1.07828 | + | 0.376699i | ||||
\(514\) | −5.19594 | + | 8.99964i | −0.229183 | + | 0.396957i | ||||
\(515\) | −12.8759 | − | 10.8042i | −0.567382 | − | 0.476090i | ||||
\(516\) | 8.94194 | + | 20.4858i | 0.393647 | + | 0.901837i | ||||
\(517\) | 14.4700 | + | 5.26666i | 0.636392 | + | 0.231628i | ||||
\(518\) | −15.2662 | − | 1.34039i | −0.670759 | − | 0.0588935i | ||||
\(519\) | 20.5663 | − | 4.96829i | 0.902759 | − | 0.218084i | ||||
\(520\) | −19.4226 | − | 16.2975i | −0.851736 | − | 0.714691i | ||||
\(521\) | 5.07183 | + | 8.78468i | 0.222201 | + | 0.384864i | 0.955476 | − | 0.295069i | \(-0.0953425\pi\) |
−0.733275 | + | 0.679932i | \(0.762009\pi\) | |||||||
\(522\) | −6.24536 | − | 4.03072i | −0.273352 | − | 0.176420i | ||||
\(523\) | −3.40614 | + | 5.89960i | −0.148940 | + | 0.257972i | −0.930836 | − | 0.365437i | \(-0.880919\pi\) |
0.781896 | + | 0.623409i | \(0.214253\pi\) | |||||||
\(524\) | 8.66809 | + | 7.27339i | 0.378667 | + | 0.317740i | ||||
\(525\) | −12.2589 | − | 2.48002i | −0.535022 | − | 0.108237i | ||||
\(526\) | −2.01028 | − | 11.4009i | −0.0876524 | − | 0.497101i | ||||
\(527\) | 2.05172 | − | 1.72160i | 0.0893745 | − | 0.0749941i | ||||
\(528\) | 4.30597 | − | 2.85883i | 0.187393 | − | 0.124414i | ||||
\(529\) | 7.72024 | − | 2.80994i | 0.335663 | − | 0.122171i | ||||
\(530\) | 5.60789 | − | 9.71315i | 0.243591 | − | 0.421912i | ||||
\(531\) | −33.9961 | − | 21.9409i | −1.47530 | − | 0.952153i | ||||
\(532\) | 15.2920 | + | 15.3015i | 0.662993 | + | 0.663405i | ||||
\(533\) | −33.5452 | + | 12.2095i | −1.45300 | + | 0.528850i | ||||
\(534\) | −4.43345 | − | 4.65867i | −0.191854 | − | 0.201601i | ||||
\(535\) | 1.65851 | + | 9.40587i | 0.0717036 | + | 0.406651i | ||||
\(536\) | −0.610621 | + | 0.512372i | −0.0263748 | + | 0.0221311i | ||||
\(537\) | −17.7222 | − | 40.6012i | −0.764769 | − | 1.75207i | ||||
\(538\) | 1.53219 | − | 8.68950i | 0.0660575 | − | 0.374631i | ||||
\(539\) | 9.13159 | − | 5.26458i | 0.393325 | − | 0.226761i | ||||
\(540\) | 23.7229 | − | 0.307656i | 1.02087 | − | 0.0132394i | ||||
\(541\) | 15.4001 | + | 26.6738i | 0.662103 | + | 1.14680i | 0.980062 | + | 0.198691i | \(0.0636690\pi\) |
−0.317960 | + | 0.948104i | \(0.602998\pi\) | |||||||
\(542\) | −2.92849 | − | 2.45729i | −0.125789 | − | 0.105550i | ||||
\(543\) | −31.0124 | − | 3.48901i | −1.33087 | − | 0.149728i | ||||
\(544\) | 0.675249 | + | 3.82953i | 0.0289511 | + | 0.164190i | ||||
\(545\) | −11.6937 | + | 9.81218i | −0.500903 | + | 0.420307i | ||||
\(546\) | 9.78983 | + | 5.98437i | 0.418966 | + | 0.256107i | ||||
\(547\) | 17.0784 | − | 6.21601i | 0.730218 | − | 0.265778i | 0.0499607 | − | 0.998751i | \(-0.484090\pi\) |
0.680257 | + | 0.732974i | \(0.261868\pi\) | |||||||
\(548\) | −20.5696 | −0.878688 | ||||||||
\(549\) | −8.54675 | + | 1.07395i | −0.364766 | + | 0.0458350i | ||||
\(550\) | −2.45795 | −0.104807 | ||||||||
\(551\) | −3.58157 | + | 20.3121i | −0.152580 | + | 0.865325i | ||||
\(552\) | −0.906140 | − | 14.4793i | −0.0385679 | − | 0.616279i | ||||
\(553\) | 9.49779 | + | 20.3846i | 0.403887 | + | 0.866840i | ||||
\(554\) | 1.59721 | + | 9.05822i | 0.0678589 | + | 0.384847i | ||||
\(555\) | 41.7656 | + | 20.7499i | 1.77285 | + | 0.880783i | ||||
\(556\) | 16.1399 | − | 5.87444i | 0.684484 | − | 0.249132i | ||||
\(557\) | −0.196768 | −0.00833732 | −0.00416866 | − | 0.999991i | \(-0.501327\pi\) | ||||
−0.00416866 | + | 0.999991i | \(0.501327\pi\) | |||||||
\(558\) | −2.02093 | − | 6.54393i | −0.0855528 | − | 0.277027i | ||||
\(559\) | 16.4485 | − | 28.4897i | 0.695698 | − | 1.20498i | ||||
\(560\) | 13.2093 | + | 6.16461i | 0.558196 | + | 0.260502i | ||||
\(561\) | −1.26156 | − | 1.32565i | −0.0532630 | − | 0.0559688i | ||||
\(562\) | −13.1754 | − | 4.79545i | −0.555771 | − | 0.202284i | ||||
\(563\) | −24.1540 | + | 20.2676i | −1.01797 | + | 0.854176i | −0.989371 | − | 0.145415i | \(-0.953548\pi\) |
−0.0285969 | + | 0.999591i | \(0.509104\pi\) | |||||||
\(564\) | −11.6371 | − | 26.6603i | −0.490009 | − | 1.12260i | ||||
\(565\) | −33.9704 | + | 12.3642i | −1.42914 | + | 0.520166i | ||||
\(566\) | 0.425426 | 0.0178820 | ||||||||
\(567\) | −23.4984 | + | 3.85063i | −0.986838 | + | 0.161711i | ||||
\(568\) | 12.2562 | 0.514260 | ||||||||
\(569\) | 7.94840 | − | 2.89298i | 0.333214 | − | 0.121280i | −0.169994 | − | 0.985445i | \(-0.554375\pi\) |
0.503209 | + | 0.864165i | \(0.332153\pi\) | |||||||
\(570\) | 5.73604 | + | 13.1412i | 0.240256 | + | 0.550422i | ||||
\(571\) | −23.9750 | + | 20.1175i | −1.00332 | + | 0.841889i | −0.987442 | − | 0.157985i | \(-0.949500\pi\) |
−0.0158829 | + | 0.999874i | \(0.505056\pi\) | |||||||
\(572\) | −9.72854 | − | 3.54090i | −0.406771 | − | 0.148052i | ||||
\(573\) | −12.6605 | − | 13.3037i | −0.528902 | − | 0.555770i | ||||
\(574\) | −11.0551 | + | 7.73579i | −0.461433 | + | 0.322886i | ||||
\(575\) | 5.24714 | − | 9.08831i | 0.218821 | − | 0.379009i | ||||
\(576\) | −1.89812 | − | 0.432567i | −0.0790885 | − | 0.0180236i | ||||
\(577\) | 29.9826 | 1.24819 | 0.624096 | − | 0.781348i | \(-0.285467\pi\) | ||||
0.624096 | + | 0.781348i | \(0.285467\pi\) | |||||||
\(578\) | −9.27750 | + | 3.37673i | −0.385893 | + | 0.140454i | ||||
\(579\) | −16.1617 | − | 8.02942i | −0.671658 | − | 0.333691i | ||||
\(580\) | 3.28461 | + | 18.6279i | 0.136386 | + | 0.773483i | ||||
\(581\) | −7.63375 | − | 0.670253i | −0.316701 | − | 0.0278068i | ||||
\(582\) | 0.161077 | + | 2.57386i | 0.00667685 | + | 0.106690i | ||||
\(583\) | 1.76373 | − | 10.0026i | 0.0730463 | − | 0.414266i | ||||
\(584\) | 30.8075 | 1.27482 | ||||||||
\(585\) | −21.0924 | − | 27.8265i | −0.872064 | − | 1.15049i | ||||
\(586\) | −8.84428 | −0.365354 | ||||||||
\(587\) | 22.2162 | − | 8.08603i | 0.916960 | − | 0.333746i | 0.159932 | − | 0.987128i | \(-0.448873\pi\) |
0.757028 | + | 0.653382i | \(0.226650\pi\) | |||||||
\(588\) | −19.0963 | − | 5.64012i | −0.787520 | − | 0.232594i | ||||
\(589\) | −14.5582 | + | 12.2157i | −0.599858 | + | 0.503341i | ||||
\(590\) | −3.89422 | − | 22.0852i | −0.160323 | − | 0.909234i | ||||
\(591\) | −43.6668 | − | 4.91268i | −1.79621 | − | 0.202081i | ||||
\(592\) | −14.7026 | − | 12.3369i | −0.604273 | − | 0.507045i | ||||
\(593\) | −1.74786 | − | 3.02739i | −0.0717761 | − | 0.124320i | 0.827904 | − | 0.560870i | \(-0.189533\pi\) |
−0.899680 | + | 0.436550i | \(0.856200\pi\) | |||||||
\(594\) | −4.37621 | + | 1.65739i | −0.179558 | + | 0.0680034i | ||||
\(595\) | 1.33735 | − | 4.98486i | 0.0548258 | − | 0.204359i | ||||
\(596\) | −0.827800 | + | 4.69468i | −0.0339080 | + | 0.192302i | ||||
\(597\) | −5.29324 | − | 12.1267i | −0.216638 | − | 0.496313i | ||||
\(598\) | −7.37498 | + | 6.18834i | −0.301585 | + | 0.253060i | ||||
\(599\) | 1.09474 | + | 6.20856i | 0.0447298 | + | 0.253675i | 0.998971 | − | 0.0453644i | \(-0.0144449\pi\) |
−0.954241 | + | 0.299039i | \(0.903334\pi\) | |||||||
\(600\) | 7.09914 | + | 7.45979i | 0.289821 | + | 0.304545i | ||||
\(601\) | −5.41779 | + | 1.97192i | −0.220996 | + | 0.0804361i | −0.450146 | − | 0.892955i | \(-0.648628\pi\) |
0.229149 | + | 0.973391i | \(0.426406\pi\) | |||||||
\(602\) | 3.22193 | − | 12.0095i | 0.131316 | − | 0.489471i | ||||
\(603\) | −0.976691 | + | 0.501132i | −0.0397739 | + | 0.0204077i | ||||
\(604\) | −11.0959 | + | 19.2187i | −0.451487 | + | 0.781999i | ||||
\(605\) | 22.8140 | − | 8.30360i | 0.927519 | − | 0.337589i | ||||
\(606\) | −11.8374 | + | 7.85907i | −0.480860 | + | 0.319253i | ||||
\(607\) | 5.90425 | − | 4.95426i | 0.239646 | − | 0.201087i | −0.515052 | − | 0.857159i | \(-0.672228\pi\) |
0.754699 | + | 0.656072i | \(0.227783\pi\) | |||||||
\(608\) | −4.79128 | − | 27.1727i | −0.194312 | − | 1.10200i | ||||
\(609\) | −6.04375 | − | 17.9968i | −0.244905 | − | 0.729268i | ||||
\(610\) | −3.65734 | − | 3.06887i | −0.148081 | − | 0.124255i | ||||
\(611\) | −21.4062 | + | 37.0766i | −0.866001 | + | 1.49996i | ||||
\(612\) | −0.171163 | + | 3.45276i | −0.00691887 | + | 0.139570i | ||||
\(613\) | −3.22472 | − | 5.58538i | −0.130245 | − | 0.225591i | 0.793526 | − | 0.608537i | \(-0.208243\pi\) |
−0.923771 | + | 0.382945i | \(0.874910\pi\) | |||||||
\(614\) | 8.21356 | + | 6.89199i | 0.331472 | + | 0.278138i | ||||
\(615\) | 39.9128 | − | 9.64191i | 1.60944 | − | 0.388799i | ||||
\(616\) | −8.64527 | − | 0.759065i | −0.348328 | − | 0.0305836i | ||||
\(617\) | 17.3987 | + | 6.33260i | 0.700445 | + | 0.254941i | 0.667601 | − | 0.744519i | \(-0.267321\pi\) |
0.0328440 | + | 0.999460i | \(0.489544\pi\) | |||||||
\(618\) | −2.50544 | − | 5.73991i | −0.100784 | − | 0.230893i | ||||
\(619\) | 28.3076 | + | 23.7529i | 1.13778 | + | 0.954708i | 0.999364 | − | 0.0356665i | \(-0.0113554\pi\) |
0.138413 | + | 0.990375i | \(0.455800\pi\) | |||||||
\(620\) | −8.71429 | + | 15.0936i | −0.349974 | + | 0.606173i | ||||
\(621\) | 3.21394 | − | 19.7192i | 0.128971 | − | 0.791304i | ||||
\(622\) | 12.7909 | 0.512870 | ||||||||
\(623\) | −1.42648 | − | 16.3632i | −0.0571508 | − | 0.655579i | ||||
\(624\) | 5.74865 | + | 13.1700i | 0.230130 | + | 0.527224i | ||||
\(625\) | −5.41738 | − | 30.7235i | −0.216695 | − | 1.22894i | ||||
\(626\) | −0.835310 | − | 4.73728i | −0.0333857 | − | 0.189340i | ||||
\(627\) | 8.95147 | + | 9.40621i | 0.357487 | + | 0.375648i | ||||
\(628\) | 21.1432 | + | 17.7413i | 0.843706 | + | 0.707953i | ||||
\(629\) | −3.39771 | + | 5.88501i | −0.135476 | + | 0.234651i | ||||
\(630\) | −10.4204 | − | 8.09914i | −0.415158 | − | 0.322677i | ||||
\(631\) | 2.78460 | + | 4.82307i | 0.110853 | + | 0.192003i | 0.916115 | − | 0.400917i | \(-0.131308\pi\) |
−0.805261 | + | 0.592920i | \(0.797975\pi\) | |||||||
\(632\) | 3.21528 | − | 18.2348i | 0.127897 | − | 0.725341i | ||||
\(633\) | 1.84225 | + | 0.915261i | 0.0732227 | + | 0.0363783i | ||||
\(634\) | −12.7618 | − | 4.64493i | −0.506838 | − | 0.184474i | ||||
\(635\) | 27.6350 | − | 23.1885i | 1.09666 | − | 0.920207i | ||||
\(636\) | −15.9850 | + | 10.6128i | −0.633847 | + | 0.420824i | ||||
\(637\) | 10.0059 | + | 27.5441i | 0.396448 | + | 1.09134i | ||||
\(638\) | −1.86544 | − | 3.23104i | −0.0738536 | − | 0.127918i | ||||
\(639\) | 16.4569 | + | 3.75040i | 0.651026 | + | 0.148364i | ||||
\(640\) | −15.9472 | − | 27.6214i | −0.630369 | − | 1.09183i | ||||
\(641\) | 1.30883 | − | 7.42272i | 0.0516955 | − | 0.293180i | −0.947989 | − | 0.318304i | \(-0.896887\pi\) |
0.999684 | + | 0.0251237i | \(0.00799796\pi\) | |||||||
\(642\) | −1.00591 | + | 3.41362i | −0.0397003 | + | 0.134725i | ||||
\(643\) | 3.79160 | − | 3.18153i | 0.149526 | − | 0.125467i | −0.564956 | − | 0.825121i | \(-0.691107\pi\) |
0.714482 | + | 0.699654i | \(0.246662\pi\) | |||||||
\(644\) | 9.58706 | − | 13.6827i | 0.377783 | − | 0.539174i | ||||
\(645\) | −22.4645 | + | 30.4490i | −0.884539 | + | 1.19893i | ||||
\(646\) | −1.96329 | + | 0.714579i | −0.0772446 | + | 0.0281147i | ||||
\(647\) | −9.74984 | + | 16.8872i | −0.383306 | + | 0.663905i | −0.991533 | − | 0.129858i | \(-0.958548\pi\) |
0.608227 | + | 0.793763i | \(0.291881\pi\) | |||||||
\(648\) | 17.6696 | + | 8.49469i | 0.694128 | + | 0.333703i | ||||
\(649\) | −10.1544 | − | 17.5879i | −0.398594 | − | 0.690385i | ||||
\(650\) | 1.18667 | − | 6.72992i | 0.0465449 | − | 0.263969i | ||||
\(651\) | 6.39301 | − | 16.2823i | 0.250562 | − | 0.638153i | ||||
\(652\) | −24.2405 | − | 8.82282i | −0.949331 | − | 0.345528i | ||||
\(653\) | 10.8175 | + | 3.93724i | 0.423321 | + | 0.154076i | 0.544891 | − | 0.838507i | \(-0.316571\pi\) |
−0.121571 | + | 0.992583i | \(0.538793\pi\) | |||||||
\(654\) | −5.52880 | + | 1.33562i | −0.216193 | + | 0.0522268i | ||||
\(655\) | −3.32627 | + | 18.8642i | −0.129968 | + | 0.737086i | ||||
\(656\) | −16.8984 | −0.659773 | ||||||||
\(657\) | 41.3665 | + | 9.42709i | 1.61386 | + | 0.367786i | ||||
\(658\) | −4.19304 | + | 15.6292i | −0.163462 | + | 0.609291i | ||||
\(659\) | −2.26363 | − | 1.89941i | −0.0881783 | − | 0.0739904i | 0.597633 | − | 0.801770i | \(-0.296108\pi\) |
−0.685811 | + | 0.727779i | \(0.740552\pi\) | |||||||
\(660\) | 10.6645 | + | 5.29834i | 0.415117 | + | 0.206237i | ||||
\(661\) | 20.2036 | + | 7.35350i | 0.785828 | + | 0.286018i | 0.703600 | − | 0.710596i | \(-0.251574\pi\) |
0.0822271 | + | 0.996614i | \(0.473797\pi\) | |||||||
\(662\) | 0.344802 | + | 0.125498i | 0.0134011 | + | 0.00487761i | ||||
\(663\) | 4.23871 | − | 2.81416i | 0.164618 | − | 0.109293i | ||||
\(664\) | 4.83332 | + | 4.05564i | 0.187569 | + | 0.157389i | ||||
\(665\) | −9.48923 | + | 35.3704i | −0.367977 | + | 1.37161i | ||||
\(666\) | 10.4969 | + | 13.8482i | 0.406745 | + | 0.536605i | ||||
\(667\) | 15.9291 | 0.616776 | ||||||||
\(668\) | 1.53930 | − | 8.72982i | 0.0595574 | − | 0.337767i | ||||
\(669\) | 3.99506 | + | 4.19801i | 0.154458 | + | 0.162304i | ||||
\(670\) | −0.571739 | − | 0.208096i | −0.0220882 | − | 0.00803945i | ||||
\(671\) | −4.06284 | − | 1.47875i | −0.156844 | − | 0.0570866i | ||||
\(672\) | 15.8318 | + | 19.8582i | 0.610723 | + | 0.766048i | ||||
\(673\) | 3.60198 | − | 20.4279i | 0.138846 | − | 0.787436i | −0.833257 | − | 0.552885i | \(-0.813527\pi\) |
0.972104 | − | 0.234551i | \(-0.0753621\pi\) | |||||||
\(674\) | 8.29241 | + | 14.3629i | 0.319412 | + | 0.553237i | ||||
\(675\) | 7.24961 | + | 12.1889i | 0.279038 | + | 0.469150i | ||||
\(676\) | 3.71691 | − | 6.43788i | 0.142958 | − | 0.247611i | ||||
\(677\) | 24.1324 | − | 8.78348i | 0.927484 | − | 0.337576i | 0.166272 | − | 0.986080i | \(-0.446827\pi\) |
0.761212 | + | 0.648503i | \(0.224605\pi\) | |||||||
\(678\) | −13.3855 | − | 1.50591i | −0.514065 | − | 0.0578342i | ||||
\(679\) | −3.77961 | + | 5.39427i | −0.145048 | + | 0.207013i | ||||
\(680\) | −3.25526 | + | 2.73148i | −0.124833 | + | 0.104748i | ||||
\(681\) | 23.3087 | + | 24.4928i | 0.893192 | + | 0.938566i | ||||
\(682\) | 0.596940 | − | 3.38542i | 0.0228580 | − | 0.129634i | ||||
\(683\) | 5.70592 | + | 9.88295i | 0.218331 | + | 0.378160i | 0.954298 | − | 0.298857i | \(-0.0966054\pi\) |
−0.735967 | + | 0.677018i | \(0.763272\pi\) | |||||||
\(684\) | 1.21450 | − | 24.4993i | 0.0464376 | − | 0.936755i | ||||
\(685\) | −17.4106 | − | 30.1560i | −0.665223 | − | 1.15220i | ||||
\(686\) | 6.34483 | + | 9.07933i | 0.242247 | + | 0.346650i | ||||
\(687\) | 13.2356 | + | 6.57568i | 0.504970 | + | 0.250878i | ||||
\(688\) | 11.9292 | − | 10.0098i | 0.454798 | − | 0.381620i | ||||
\(689\) | 26.5358 | + | 9.65826i | 1.01094 | + | 0.367950i | ||||
\(690\) | 9.22550 | − | 6.12500i | 0.351209 | − | 0.233175i | ||||
\(691\) | 2.45169 | − | 13.9042i | 0.0932666 | − | 0.528941i | −0.901998 | − | 0.431740i | \(-0.857900\pi\) |
0.995265 | − | 0.0972013i | \(-0.0309890\pi\) | |||||||
\(692\) | −10.0308 | − | 17.3738i | −0.381312 | − | 0.660452i | ||||
\(693\) | −11.3761 | − | 3.66468i | −0.432141 | − | 0.139210i | ||||
\(694\) | 4.35974 | − | 7.55130i | 0.165494 | − | 0.286643i | ||||
\(695\) | 22.2734 | + | 18.6896i | 0.844878 | + | 0.708937i | ||||
\(696\) | −4.41824 | + | 14.9935i | −0.167473 | + | 0.568329i | ||||
\(697\) | 1.03895 | + | 5.89216i | 0.0393529 | + | 0.223182i | ||||
\(698\) | −0.737390 | − | 4.18195i | −0.0279106 | − | 0.158289i | ||||
\(699\) | 10.5089 | + | 1.18229i | 0.397484 | + | 0.0447184i | ||||
\(700\) | 1.02993 | + | 11.8143i | 0.0389277 | + | 0.446540i | ||||
\(701\) | −19.7649 | −0.746510 | −0.373255 | − | 0.927729i | \(-0.621758\pi\) | ||||
−0.373255 | + | 0.927729i | \(0.621758\pi\) | |||||||
\(702\) | −2.42518 | − | 12.7823i | −0.0915325 | − | 0.482437i | ||||
\(703\) | 24.1087 | − | 41.7575i | 0.909277 | − | 1.57491i | ||||
\(704\) | −0.748538 | − | 0.628098i | −0.0282116 | − | 0.0236723i | ||||
\(705\) | 29.2354 | − | 39.6264i | 1.10107 | − | 1.49242i | ||||
\(706\) | −14.0854 | − | 5.12665i | −0.530109 | − | 0.192944i | ||||
\(707\) | −36.1507 | − | 3.17408i | −1.35959 | − | 0.119373i | ||||
\(708\) | −10.8442 | + | 36.8004i | −0.407550 | + | 1.38304i | ||||
\(709\) | −3.13129 | − | 2.62747i | −0.117598 | − | 0.0986765i | 0.582092 | − | 0.813123i | \(-0.302234\pi\) |
−0.699690 | + | 0.714446i | \(0.746679\pi\) | |||||||
\(710\) | 4.67758 | + | 8.10181i | 0.175547 | + | 0.304055i | ||||
\(711\) | 9.89712 | − | 23.5007i | 0.371171 | − | 0.881345i | ||||
\(712\) | −6.76190 | + | 11.7120i | −0.253413 | + | 0.438924i | ||||
\(713\) | 11.2433 | + | 9.43424i | 0.421065 | + | 0.353315i | ||||
\(714\) | 1.27267 | − | 1.44170i | 0.0476286 | − | 0.0539542i | ||||
\(715\) | −3.04334 | − | 17.2596i | −0.113814 | − | 0.645473i | ||||
\(716\) | −32.1776 | + | 27.0002i | −1.20253 | + | 1.00905i | ||||
\(717\) | −1.22784 | − | 19.6197i | −0.0458544 | − | 0.732711i | ||||
\(718\) | −11.5365 | + | 4.19893i | −0.430537 | + | 0.156703i | ||||
\(719\) | −0.849934 | + | 1.47213i | −0.0316972 | + | 0.0549011i | −0.881439 | − | 0.472298i | \(-0.843425\pi\) |
0.849742 | + | 0.527199i | \(0.176758\pi\) | |||||||
\(720\) | −4.87722 | − | 15.7928i | −0.181763 | − | 0.588563i | ||||
\(721\) | 4.14479 | − | 15.4494i | 0.154360 | − | 0.575365i | ||||
\(722\) | 3.25243 | − | 1.18379i | 0.121043 | − | 0.0440561i | ||||
\(723\) | 2.24750 | − | 7.62700i | 0.0835853 | − | 0.283651i | ||||
\(724\) | 5.13841 | + | 29.1414i | 0.190967 | + | 1.08303i | ||||
\(725\) | −8.66156 | + | 7.26792i | −0.321682 | + | 0.269924i | ||||
\(726\) | 8.98945 | + | 1.01135i | 0.333630 | + | 0.0375346i | ||||
\(727\) | −3.91606 | + | 22.2091i | −0.145239 | + | 0.823689i | 0.821937 | + | 0.569579i | \(0.192894\pi\) |
−0.967175 | + | 0.254110i | \(0.918217\pi\) | |||||||
\(728\) | 6.25216 | − | 23.3045i | 0.231720 | − | 0.863721i | ||||
\(729\) | 21.1263 | + | 16.8130i | 0.782456 | + | 0.622706i | ||||
\(730\) | 11.7577 | + | 20.3649i | 0.435171 | + | 0.753738i | ||||
\(731\) | −4.22366 | − | 3.54407i | −0.156218 | − | 0.131082i | ||||
\(732\) | 3.26741 | + | 7.48557i | 0.120767 | + | 0.276675i | ||||
\(733\) | 0.0113473 | + | 0.0643538i | 0.000419123 | + | 0.00237696i | 0.985017 | − | 0.172460i | \(-0.0551714\pi\) |
−0.984597 | + | 0.174837i | \(0.944060\pi\) | |||||||
\(734\) | −11.0280 | + | 9.25361i | −0.407052 | + | 0.341557i | ||||
\(735\) | −7.89491 | − | 32.7701i | −0.291208 | − | 1.20874i | ||||
\(736\) | −20.0242 | + | 7.28820i | −0.738100 | + | 0.268646i | ||||
\(737\) | −0.550992 | −0.0202960 | ||||||||
\(738\) | 14.9171 | + | 3.39948i | 0.549105 | + | 0.125137i | ||||
\(739\) | −39.6902 | −1.46003 | −0.730013 | − | 0.683433i | \(-0.760486\pi\) | ||||
−0.730013 | + | 0.683433i | \(0.760486\pi\) | |||||||
\(740\) | 7.67863 | − | 43.5477i | 0.282272 | − | 1.60084i | ||||
\(741\) | −30.0760 | + | 19.9681i | −1.10487 | + | 0.733546i | ||||
\(742\) | 10.6326 | + | 0.933558i | 0.390336 | + | 0.0342720i | ||||
\(743\) | −8.02148 | − | 45.4921i | −0.294280 | − | 1.66894i | −0.670116 | − | 0.742256i | \(-0.733756\pi\) |
0.375837 | − | 0.926686i | \(-0.377355\pi\) | |||||||
\(744\) | −11.9987 | + | 7.96619i | −0.439894 | + | 0.292055i | ||||
\(745\) | −7.58330 | + | 2.76010i | −0.277831 | + | 0.101122i | ||||
\(746\) | −4.71577 | −0.172656 | ||||||||
\(747\) | 5.24887 | + | 6.92466i | 0.192046 | + | 0.253360i | ||||
\(748\) | −0.867582 | + | 1.50270i | −0.0317220 | + | 0.0549440i | ||||
\(749\) | −7.44707 | + | 5.21105i | −0.272110 | + | 0.190408i | ||||
\(750\) | 1.84847 | − | 6.27289i | 0.0674966 | − | 0.229053i | ||||
\(751\) | 41.8151 | + | 15.2195i | 1.52586 | + | 0.555366i | 0.962602 | − | 0.270919i | \(-0.0873274\pi\) |
0.563253 | + | 0.826285i | \(0.309550\pi\) | |||||||
\(752\) | −15.5248 | + | 13.0268i | −0.566130 | + | 0.475039i | ||||
\(753\) | 13.1609 | + | 1.48065i | 0.479611 | + | 0.0539581i | ||||
\(754\) | 9.74726 | − | 3.54771i | 0.354974 | − | 0.129200i | ||||
\(755\) | −37.5674 | −1.36722 | ||||||||
\(756\) | 9.80007 | + | 20.3401i | 0.356425 | + | 0.739763i | ||||
\(757\) | −43.7571 | −1.59038 | −0.795190 | − | 0.606360i | \(-0.792629\pi\) | ||||
−0.795190 | + | 0.606360i | \(0.792629\pi\) | |||||||
\(758\) | −17.0292 | + | 6.19813i | −0.618529 | + | 0.225126i | ||||
\(759\) | 5.95360 | − | 8.06967i | 0.216102 | − | 0.292910i | ||||
\(760\) | 23.0979 | − | 19.3814i | 0.837849 | − | 0.703038i | ||||
\(761\) | 46.7769 | + | 17.0254i | 1.69566 | + | 0.617170i | 0.995319 | − | 0.0966393i | \(-0.0308093\pi\) |
0.700340 | + | 0.713809i | \(0.253032\pi\) | |||||||
\(762\) | 13.0659 | − | 3.15638i | 0.473327 | − | 0.114344i | ||||
\(763\) | −13.1641 | − | 6.14347i | −0.476571 | − | 0.222409i | ||||
\(764\) | −8.70675 | + | 15.0805i | −0.314999 | + | 0.545594i | ||||
\(765\) | −5.20679 | + | 2.67157i | −0.188252 | + | 0.0965906i | ||||
\(766\) | 11.1100 | 0.401420 | ||||||||
\(767\) | 53.0584 | − | 19.3117i | 1.91583 | − | 0.697304i | ||||
\(768\) | −0.601867 | − | 9.61729i | −0.0217180 | − | 0.347034i | ||||
\(769\) | −5.71117 | − | 32.3897i | −0.205950 | − | 1.16800i | −0.895938 | − | 0.444180i | \(-0.853495\pi\) |
0.689987 | − | 0.723821i | \(-0.257616\pi\) | |||||||
\(770\) | −2.79769 | − | 6.00453i | −0.100822 | − | 0.216388i | ||||
\(771\) | 26.9521 | + | 13.3903i | 0.970656 | + | 0.482239i | ||||
\(772\) | −2.97134 | + | 16.8513i | −0.106941 | + | 0.606492i | ||||
\(773\) | 8.34316 | 0.300083 | 0.150041 | − | 0.988680i | \(-0.452059\pi\) | ||||
0.150041 | + | 0.988680i | \(0.452059\pi\) | |||||||
\(774\) | −12.5442 | + | 6.43633i | −0.450892 | + | 0.231349i | ||||
\(775\) | −10.4182 | −0.374232 | ||||||||
\(776\) | 5.09606 | − | 1.85481i | 0.182938 | − | 0.0665840i | ||||
\(777\) | −1.11280 | + | 44.3674i | −0.0399216 | + | 1.59167i | ||||
\(778\) | −5.92984 | + | 4.97573i | −0.212595 | + | 0.178389i | ||||
\(779\) | −7.37192 | − | 41.8082i | −0.264126 | − | 1.49794i | ||||
\(780\) | −19.6556 | + | 26.6418i | −0.703785 | + | 0.953928i | ||||
\(781\) | 6.48990 | + | 5.44567i | 0.232227 | + | 0.194862i | ||||
\(782\) | 0.806781 | + | 1.39739i | 0.0288504 | + | 0.0499704i | ||||
\(783\) | −10.5206 | + | 18.7805i | −0.375974 | + | 0.671159i | ||||
\(784\) | −0.00860531 | + | 13.8723i | −0.000307332 | + | 0.495438i | ||||
\(785\) | −8.11344 | + | 46.0136i | −0.289581 | + | 1.64230i | ||||
\(786\) | −4.23734 | + | 5.74340i | −0.151141 | + | 0.204860i | ||||
\(787\) | 24.8903 | − | 20.8854i | 0.887243 | − | 0.744485i | −0.0804126 | − | 0.996762i | \(-0.525624\pi\) |
0.967655 | + | 0.252277i | \(0.0811793\pi\) | |||||||
\(788\) | 7.23511 | + | 41.0323i | 0.257740 | + | 1.46172i | ||||
\(789\) | −32.5890 | + | 7.87268i | −1.16020 | + | 0.280275i | ||||
\(790\) | 13.2810 | − | 4.83387i | 0.472515 | − | 0.171982i | ||||
\(791\) | −24.3189 | − | 24.3340i | −0.864680 | − | 0.865216i | ||||
\(792\) | 5.94438 | + | 7.84222i | 0.211224 | + | 0.278661i | ||||
\(793\) | 6.01033 | − | 10.4102i | 0.213433 | − | 0.369677i | ||||
\(794\) | 9.44541 | − | 3.43785i | 0.335205 | − | 0.122005i | ||||
\(795\) | −29.0889 | − | 14.4519i | −1.03168 | − | 0.512556i | ||||
\(796\) | −9.61077 | + | 8.06439i | −0.340645 | + | 0.285835i | ||||
\(797\) | −5.46260 | − | 30.9799i | −0.193495 | − | 1.09737i | −0.914545 | − | 0.404483i | \(-0.867451\pi\) |
0.721050 | − | 0.692883i | \(-0.243660\pi\) | |||||||
\(798\) | −9.03034 | + | 10.2297i | −0.319671 | + | 0.362127i | ||||
\(799\) | 5.49669 | + | 4.61227i | 0.194459 | + | 0.163171i | ||||
\(800\) | 7.56293 | − | 13.0994i | 0.267390 | − | 0.463133i | ||||
\(801\) | −12.6633 | + | 13.6570i | −0.447437 | + | 0.482545i | ||||
\(802\) | −1.77973 | − | 3.08259i | −0.0628445 | − | 0.108850i | ||||
\(803\) | 16.3132 | + | 13.6884i | 0.575679 | + | 0.483052i | ||||
\(804\) | 0.717553 | + | 0.754006i | 0.0253062 | + | 0.0265917i | ||||
\(805\) | 28.1742 | + | 2.47373i | 0.993011 | + | 0.0871876i | ||||
\(806\) | 8.98114 | + | 3.26887i | 0.316347 | + | 0.115141i | ||||
\(807\) | −25.3930 | − | 2.85680i | −0.893874 | − | 0.100564i | ||||
\(808\) | 22.8889 | + | 19.2060i | 0.805228 | + | 0.675666i | ||||
\(809\) | −15.5231 | + | 26.8868i | −0.545764 | + | 0.945290i | 0.452795 | + | 0.891615i | \(0.350427\pi\) |
−0.998558 | + | 0.0536757i | \(0.982906\pi\) | |||||||
\(810\) | 1.12830 | + | 14.9222i | 0.0396444 | + | 0.524314i | ||||
\(811\) | 37.0999 | 1.30276 | 0.651378 | − | 0.758754i | \(-0.274191\pi\) | ||||
0.651378 | + | 0.758754i | \(0.274191\pi\) | |||||||
\(812\) | −14.7486 | + | 10.3203i | −0.517574 | + | 0.362170i | ||||
\(813\) | −6.57276 | + | 8.90889i | −0.230517 | + | 0.312448i | ||||
\(814\) | 1.51455 | + | 8.58942i | 0.0530848 | + | 0.301059i | ||||
\(815\) | −7.58305 | − | 43.0056i | −0.265622 | − | 1.50642i | ||||
\(816\) | 2.34110 | − | 0.565549i | 0.0819547 | − | 0.0197982i | ||||
\(817\) | 29.9693 | + | 25.1472i | 1.04849 | + | 0.879790i | ||||
\(818\) | −9.45517 | + | 16.3768i | −0.330592 | + | 0.572602i | ||||
\(819\) | 15.5262 | − | 29.3787i | 0.542528 | − | 1.02657i | ||||
\(820\) | −19.4666 | − | 33.7171i | −0.679803 | − | 1.17745i | ||||
\(821\) | 5.47757 | − | 31.0648i | 0.191168 | − | 1.08417i | −0.726602 | − | 0.687059i | \(-0.758902\pi\) |
0.917770 | − | 0.397112i | \(-0.129987\pi\) | |||||||
\(822\) | −0.810385 | − | 12.9492i | −0.0282654 | − | 0.451656i | ||||
\(823\) | 7.46047 | + | 2.71539i | 0.260056 | + | 0.0946525i | 0.468758 | − | 0.883327i | \(-0.344702\pi\) |
−0.208702 | + | 0.977979i | \(0.566924\pi\) | |||||||
\(824\) | −10.0889 | + | 8.46559i | −0.351463 | + | 0.294913i | ||||
\(825\) | 0.444605 | + | 7.10438i | 0.0154792 | + | 0.247343i | ||||
\(826\) | 17.4859 | − | 12.2357i | 0.608412 | − | 0.425734i | ||||
\(827\) | 8.86098 | + | 15.3477i | 0.308126 | + | 0.533691i | 0.977953 | − | 0.208827i | \(-0.0669647\pi\) |
−0.669826 | + | 0.742518i | \(0.733631\pi\) | |||||||
\(828\) | −18.7963 | + | 2.36186i | −0.653216 | + | 0.0820804i | ||||
\(829\) | −3.28070 | − | 5.68234i | −0.113943 | − | 0.197356i | 0.803414 | − | 0.595421i | \(-0.203015\pi\) |
−0.917357 | + | 0.398066i | \(0.869682\pi\) | |||||||
\(830\) | −0.836289 | + | 4.74283i | −0.0290280 | + | 0.164626i | ||||
\(831\) | 25.8927 | − | 6.25501i | 0.898206 | − | 0.216984i | ||||
\(832\) | 2.08113 | − | 1.74627i | 0.0721502 | − | 0.0605412i | ||||
\(833\) | 4.83752 | − | 0.849892i | 0.167610 | − | 0.0294470i | ||||
\(834\) | 4.33402 | + | 9.92916i | 0.150075 | + | 0.343819i | ||||
\(835\) | 14.1012 | − | 5.13243i | 0.487993 | − | 0.177615i | ||||
\(836\) | 6.15599 | − | 10.6625i | 0.212909 | − | 0.368770i | ||||
\(837\) | −18.5488 | + | 7.02492i | −0.641140 | + | 0.242817i | ||||
\(838\) | −1.05905 | − | 1.83433i | −0.0365844 | − | 0.0633660i | ||||
\(839\) | −5.85347 | + | 33.1967i | −0.202084 | + | 1.14608i | 0.699878 | + | 0.714262i | \(0.253238\pi\) |
−0.901963 | + | 0.431814i | \(0.857874\pi\) | |||||||
\(840\) | −10.1431 | + | 25.8334i | −0.349971 | + | 0.891336i | ||||
\(841\) | 11.1236 | + | 4.04866i | 0.383573 | + | 0.139609i | ||||
\(842\) | −6.03879 | − | 2.19794i | −0.208110 | − | 0.0757460i | ||||
\(843\) | −11.4774 | + | 38.9491i | −0.395302 | + | 1.34148i | ||||
\(844\) | 0.338698 | − | 1.92085i | 0.0116585 | − | 0.0661185i | ||||
\(845\) | 12.5843 | 0.432914 | ||||||||
\(846\) | 16.3251 | − | 8.37627i | 0.561268 | − | 0.287982i | ||||
\(847\) | 16.3322 | + | 16.3423i | 0.561180 | + | 0.561528i | ||||
\(848\) | 10.2401 | + | 8.59244i | 0.351645 | + | 0.295066i | ||||
\(849\) | −0.0769528 | − | 1.22964i | −0.00264101 | − | 0.0422010i | ||||
\(850\) | −1.07627 | − | 0.391732i | −0.0369159 | − | 0.0134363i | ||||
\(851\) | −34.9927 | − | 12.7363i | −1.19953 | − | 0.436594i | ||||
\(852\) | −0.999619 | − | 15.9730i | −0.0342464 | − | 0.547226i | ||||
\(853\) | 1.50282 | + | 1.26101i | 0.0514555 | + | 0.0431763i | 0.668153 | − | 0.744024i | \(-0.267085\pi\) |
−0.616697 | + | 0.787200i | \(0.711530\pi\) | |||||||
\(854\) | 1.17730 | − | 4.38831i | 0.0402865 | − | 0.150165i | ||||
\(855\) | 36.9452 | − | 18.9563i | 1.26350 | − | 0.648291i | ||||
\(856\) | 7.48363 | 0.255785 | ||||||||
\(857\) | 3.88840 | − | 22.0522i | 0.132825 | − | 0.753290i | −0.843524 | − | 0.537091i | \(-0.819523\pi\) |
0.976349 | − | 0.216198i | \(-0.0693658\pi\) | |||||||
\(858\) | 1.84584 | − | 6.26394i | 0.0630158 | − | 0.213847i | ||||
\(859\) | 4.01032 | + | 1.45964i | 0.136830 | + | 0.0498022i | 0.409528 | − | 0.912298i | \(-0.365694\pi\) |
−0.272697 | + | 0.962100i | \(0.587916\pi\) | |||||||
\(860\) | 33.7146 | + | 12.2711i | 1.14966 | + | 0.418441i | ||||
\(861\) | 24.3589 | + | 30.5541i | 0.830151 | + | 1.04128i | ||||
\(862\) | 3.93549 | − | 22.3193i | 0.134043 | − | 0.760197i | ||||
\(863\) | −23.7591 | − | 41.1519i | −0.808768 | − | 1.40083i | −0.913718 | − | 0.406349i | \(-0.866802\pi\) |
0.104950 | − | 0.994477i | \(-0.466532\pi\) | |||||||
\(864\) | 4.63240 | − | 28.4221i | 0.157597 | − | 0.966941i | ||||
\(865\) | 16.9805 | − | 29.4111i | 0.577355 | − | 1.00001i | ||||
\(866\) | −20.4026 | + | 7.42595i | −0.693310 | + | 0.252344i | ||||
\(867\) | 11.4381 | + | 26.2046i | 0.388460 | + | 0.889953i | ||||
\(868\) | −16.5224 | − | 1.45069i | −0.560807 | − | 0.0492395i | ||||
\(869\) | 9.80461 | − | 8.22705i | 0.332599 | − | 0.279083i | ||||
\(870\) | −11.5975 | + | 2.80166i | −0.393192 | + | 0.0949851i | ||||
\(871\) | 0.266011 | − | 1.50863i | 0.00901345 | − | 0.0511178i | ||||
\(872\) | 5.98043 | + | 10.3584i | 0.202523 | + | 0.350780i | ||||
\(873\) | 7.41026 | − | 0.931141i | 0.250799 | − | 0.0315144i | ||||
\(874\) | −5.72457 | − | 9.91524i | −0.193636 | − | 0.335388i | ||||
\(875\) | 13.6848 | − | 9.57584i | 0.462629 | − | 0.323723i | ||||
\(876\) | −2.51266 | − | 40.1501i | −0.0848951 | − | 1.35655i | ||||
\(877\) | 15.7081 | − | 13.1806i | 0.530424 | − | 0.445079i | −0.337824 | − | 0.941209i | \(-0.609691\pi\) |
0.868248 | + | 0.496131i | \(0.165246\pi\) | |||||||
\(878\) | −1.41053 | − | 0.513391i | −0.0476031 | − | 0.0173261i | ||||
\(879\) | 1.59979 | + | 25.5632i | 0.0539596 | + | 0.862225i | ||||
\(880\) | 1.44063 | − | 8.17020i | 0.0485635 | − | 0.275418i | ||||
\(881\) | 3.06867 | + | 5.31509i | 0.103386 | + | 0.179070i | 0.913078 | − | 0.407786i | \(-0.133699\pi\) |
−0.809692 | + | 0.586856i | \(0.800366\pi\) | |||||||
\(882\) | 2.79829 | − | 12.2440i | 0.0942235 | − | 0.412276i | ||||
\(883\) | 11.7555 | − | 20.3612i | 0.395605 | − | 0.685209i | −0.597573 | − | 0.801815i | \(-0.703868\pi\) |
0.993178 | + | 0.116606i | \(0.0372015\pi\) | |||||||
\(884\) | −3.69555 | − | 3.10094i | −0.124295 | − | 0.104296i | ||||
\(885\) | −63.1299 | + | 15.2506i | −2.12209 | + | 0.512643i | ||||
\(886\) | −1.20770 | − | 6.84920i | −0.0405734 | − | 0.230103i | ||||
\(887\) | −1.23395 | − | 6.99805i | −0.0414318 | − | 0.234972i | 0.957059 | − | 0.289894i | \(-0.0936200\pi\) |
−0.998491 | + | 0.0549222i | \(0.982509\pi\) | |||||||
\(888\) | 21.6942 | − | 29.4048i | 0.728009 | − | 0.986762i | ||||
\(889\) | 31.1098 | + | 14.5185i | 1.04339 | + | 0.486934i | ||||
\(890\) | −10.3227 | −0.346018 | ||||||||
\(891\) | 5.58204 | + | 12.3490i | 0.187005 | + | 0.413708i | ||||
\(892\) | 2.74743 | − | 4.75869i | 0.0919907 | − | 0.159333i | ||||
\(893\) | −39.0022 | − | 32.7267i | −1.30516 | − | 1.09516i | ||||
\(894\) | −2.98807 | − | 0.336169i | −0.0999361 | − | 0.0112432i | ||||
\(895\) | −66.8196 | − | 24.3203i | −2.23353 | − | 0.812939i | ||||
\(896\) | 17.4172 | − | 24.8579i | 0.581867 | − | 0.830443i | ||||
\(897\) | 19.2206 | + | 20.1970i | 0.641756 | + | 0.674358i | ||||
\(898\) | 0.652214 | + | 0.547272i | 0.0217647 | + | 0.0182627i | ||||
\(899\) | −7.90678 | − | 13.6949i | −0.263706 | − | 0.456752i | ||||
\(900\) | 9.14300 | − | 9.86041i | 0.304767 | − | 0.328680i | ||||
\(901\) | 2.36644 | − | 4.09880i | 0.0788376 | − | 0.136551i | ||||
\(902\) | 5.88265 | + | 4.93613i | 0.195871 | + | 0.164355i | ||||
\(903\) | −35.2947 | − | 7.14022i | −1.17453 | − | 0.237612i | ||||
\(904\) | 4.91869 | + | 27.8953i | 0.163593 | + | 0.927784i | ||||
\(905\) | −38.3734 | + | 32.1991i | −1.27557 | + | 1.07033i | ||||
\(906\) | −12.5360 | − | 6.22809i | −0.416480 | − | 0.206915i | ||||
\(907\) | −7.88893 | + | 2.87134i | −0.261948 | + | 0.0953412i | −0.469656 | − | 0.882850i | \(-0.655622\pi\) |
0.207708 | + | 0.978191i | \(0.433400\pi\) | |||||||
\(908\) | 16.0296 | − | 27.7640i | 0.531960 | − | 0.921382i | ||||
\(909\) | 24.8568 | + | 32.7927i | 0.824447 | + | 1.08767i | ||||
\(910\) | 17.7912 | − | 4.76123i | 0.589773 | − | 0.157833i | ||||
\(911\) | −32.9023 | + | 11.9755i | −1.09010 | + | 0.396765i | −0.823659 | − | 0.567085i | \(-0.808071\pi\) |
−0.266444 | + | 0.963850i | \(0.585849\pi\) | |||||||
\(912\) | −16.6114 | + | 4.01289i | −0.550059 | + | 0.132880i | ||||
\(913\) | 0.757337 | + | 4.29507i | 0.0250642 | + | 0.142146i | ||||
\(914\) | −3.25589 | + | 2.73202i | −0.107695 | + | 0.0903672i | ||||
\(915\) | −8.20860 | + | 11.1261i | −0.271368 | + | 0.367819i | ||||
\(916\) | 2.43338 | − | 13.8004i | 0.0804010 | − | 0.455977i | ||||
\(917\) | −17.6094 | + | 4.71258i | −0.581515 | + | 0.155623i | ||||
\(918\) | −2.18037 | + | 0.0282766i | −0.0719630 | + | 0.000933267i | ||||
\(919\) | −5.42904 | − | 9.40337i | −0.179087 | − | 0.310189i | 0.762481 | − | 0.647011i | \(-0.223981\pi\) |
−0.941568 | + | 0.336822i | \(0.890648\pi\) | |||||||
\(920\) | −17.8385 | − | 14.9683i | −0.588120 | − | 0.493491i | ||||
\(921\) | 18.4347 | − | 24.9868i | 0.607443 | − | 0.823344i | ||||
\(922\) | −0.521470 | − | 2.95740i | −0.0171737 | − | 0.0973968i | ||||
\(923\) | −18.0436 | + | 15.1404i | −0.593912 | + | 0.498351i | ||||
\(924\) | −0.284147 | + | 11.3289i | −0.00934774 | + | 0.372694i | ||||
\(925\) | 24.8387 | − | 9.04054i | 0.816691 | − | 0.297251i | ||||
\(926\) | 22.0854 | 0.725772 | ||||||||
\(927\) | −16.1372 | + | 8.27989i | −0.530016 | + | 0.271947i | ||||
\(928\) | 22.9593 | 0.753676 | ||||||||
\(929\) | −4.73292 | + | 26.8417i | −0.155282 | + | 0.880648i | 0.803246 | + | 0.595648i | \(0.203105\pi\) |
−0.958528 | + | 0.285000i | \(0.908007\pi\) | |||||||
\(930\) | −9.84524 | − | 4.89129i | −0.322838 | − | 0.160392i | ||||
\(931\) | −34.3250 | + | 6.03046i | −1.12496 | + | 0.197640i | ||||
\(932\) | −1.74121 | − | 9.87490i | −0.0570353 | − | 0.323463i | ||||
\(933\) | −2.31368 | − | 36.9705i | −0.0757464 | − | 1.21036i | ||||
\(934\) | 18.0766 | − | 6.57935i | 0.591485 | − | 0.215283i | ||||
\(935\) | −2.93737 | −0.0960622 | ||||||||
\(936\) | −24.3420 | + | 12.4897i | −0.795644 | + | 0.408239i | ||||
\(937\) | 14.7852 | − | 25.6087i | 0.483011 | − | 0.836600i | −0.516799 | − | 0.856107i | \(-0.672876\pi\) |
0.999810 | + | 0.0195071i | \(0.00620971\pi\) | |||||||
\(938\) | −0.0502857 | − | 0.576829i | −0.00164189 | − | 0.0188341i | ||||
\(939\) | −13.5414 | + | 3.27125i | −0.441906 | + | 0.106753i | ||||
\(940\) | −43.8763 | − | 15.9697i | −1.43109 | − | 0.520874i | ||||
\(941\) | −29.3340 | + | 24.6141i | −0.956260 | + | 0.802398i | −0.980341 | − | 0.197312i | \(-0.936779\pi\) |
0.0240805 | + | 0.999710i | \(0.492334\pi\) | |||||||
\(942\) | −10.3357 | + | 14.0093i | −0.336756 | + | 0.456448i | ||||
\(943\) | −30.8094 | + | 11.2137i | −1.00329 | + | 0.365169i | ||||
\(944\) | 26.7282 | 0.869929 | ||||||||
\(945\) | −21.5246 | + | 31.5837i | −0.700194 | + | 1.02742i | ||||
\(946\) | −7.07670 | −0.230083 | ||||||||
\(947\) | −2.86859 | + | 1.04408i | −0.0932167 | + | 0.0339281i | −0.388208 | − | 0.921572i | \(-0.626906\pi\) |
0.294991 | + | 0.955500i | \(0.404683\pi\) | |||||||
\(948\) | −24.0268 | − | 2.70311i | −0.780354 | − | 0.0877928i | ||||
\(949\) | −45.3548 | + | 38.0572i | −1.47228 | + | 1.23539i | ||||
\(950\) | 7.63678 | + | 2.77956i | 0.247770 | + | 0.0901809i | ||||
\(951\) | −11.1171 | + | 37.7266i | −0.360498 | + | 1.22337i | ||||
\(952\) | −3.66457 | − | 1.71020i | −0.118769 | − | 0.0554279i | ||||
\(953\) | −0.799055 | + | 1.38400i | −0.0258839 | + | 0.0448323i | −0.878677 | − | 0.477416i | \(-0.841573\pi\) |
0.852793 | + | 0.522249i | \(0.174907\pi\) | |||||||
\(954\) | −7.31086 | − | 9.64497i | −0.236698 | − | 0.312268i | ||||
\(955\) | −29.4784 | −0.953898 | ||||||||
\(956\) | −17.5153 | + | 6.37506i | −0.566487 | + | 0.206184i | ||||
\(957\) | −9.00146 | + | 5.97625i | −0.290976 | + | 0.193185i | ||||
\(958\) | −0.612723 | − | 3.47493i | −0.0197962 | − | 0.112270i | ||||
\(959\) | 19.0154 | − | 27.1389i | 0.614039 | − | 0.876359i | ||||
\(960\) | −2.60332 | + | 1.72840i | −0.0840219 | + | 0.0557839i | ||||
\(961\) | −2.85293 | + | 16.1798i | −0.0920300 | + | 0.521928i | ||||
\(962\) | −24.2492 | −0.781825 | ||||||||
\(963\) | 10.0486 | + | 2.28999i | 0.323811 | + | 0.0737938i | ||||
\(964\) | −7.53924 | −0.242823 | ||||||||
\(965\) | −27.2199 | + | 9.90722i | −0.876238 | + | 0.318925i | ||||
\(966\) | 8.99142 | + | 5.49631i | 0.289294 | + | 0.176841i | ||||
\(967\) | 24.3249 | − | 20.4110i | 0.782235 | − | 0.656373i | −0.161575 | − | 0.986860i | \(-0.551657\pi\) |
0.943811 | + | 0.330487i | \(0.107213\pi\) | |||||||
\(968\) | −3.30331 | − | 18.7340i | −0.106173 | − | 0.602134i | ||||
\(969\) | 2.42052 | + | 5.54536i | 0.0777583 | + | 0.178143i | ||||
\(970\) | 3.17101 | + | 2.66079i | 0.101815 | + | 0.0854329i | ||||
\(971\) | −6.63280 | − | 11.4883i | −0.212857 | − | 0.368679i | 0.739751 | − | 0.672881i | \(-0.234943\pi\) |
−0.952607 | + | 0.304202i | \(0.901610\pi\) | |||||||
\(972\) | 9.62961 | − | 23.7208i | 0.308870 | − | 0.760846i | ||||
\(973\) | −7.16985 | + | 26.7251i | −0.229855 | + | 0.856766i | ||||
\(974\) | −0.215266 | + | 1.22084i | −0.00689758 | + | 0.0391181i | ||||
\(975\) | −19.6666 | − | 2.21256i | −0.629834 | − | 0.0708587i | ||||
\(976\) | 4.35898 | − | 3.65761i | 0.139527 | − | 0.117077i | ||||
\(977\) | −4.14512 | − | 23.5081i | −0.132614 | − | 0.752092i | −0.976492 | − | 0.215556i | \(-0.930844\pi\) |
0.843877 | − | 0.536536i | \(-0.180267\pi\) | |||||||
\(978\) | 4.59925 | − | 15.6078i | 0.147068 | − | 0.499082i | ||||
\(979\) | −8.78439 | + | 3.19726i | −0.280750 | + | 0.102185i | ||||
\(980\) | −27.6890 | + | 15.9633i | −0.884492 | + | 0.509930i | ||||
\(981\) | 4.86050 | + | 15.7387i | 0.155184 | + | 0.502497i | ||||
\(982\) | 7.02436 | − | 12.1665i | 0.224156 | − | 0.388250i | ||||
\(983\) | 49.9219 | − | 18.1701i | 1.59226 | − | 0.579536i | 0.614438 | − | 0.788965i | \(-0.289383\pi\) |
0.977824 | + | 0.209430i | \(0.0671607\pi\) | |||||||
\(984\) | −2.00952 | − | 32.1103i | −0.0640612 | − | 1.02364i | ||||
\(985\) | −54.0314 | + | 45.3377i | −1.72158 | + | 1.44458i | ||||
\(986\) | −0.301888 | − | 1.71209i | −0.00961407 | − | 0.0545241i | ||||
\(987\) | 45.9326 | + | 9.29232i | 1.46205 | + | 0.295778i | ||||
\(988\) | 26.2221 | + | 22.0029i | 0.834235 | + | 0.700006i | ||||
\(989\) | 15.1070 | − | 26.1662i | 0.480376 | − | 0.832036i | ||||
\(990\) | −2.91532 | + | 6.92243i | −0.0926550 | + | 0.220009i | ||||
\(991\) | −19.6561 | − | 34.0453i | −0.624396 | − | 1.08148i | −0.988657 | − | 0.150188i | \(-0.952012\pi\) |
0.364262 | − | 0.931297i | \(-0.381321\pi\) | |||||||
\(992\) | 16.2055 | + | 13.5980i | 0.514524 | + | 0.431737i | ||||
\(993\) | 0.300365 | − | 1.01930i | 0.00953180 | − | 0.0323467i | ||||
\(994\) | −5.10874 | + | 7.29122i | −0.162039 | + | 0.231264i | ||||
\(995\) | −19.9576 | − | 7.26396i | −0.632698 | − | 0.230283i | ||||
\(996\) | 4.89132 | − | 6.62983i | 0.154987 | − | 0.210074i | ||||
\(997\) | 19.2142 | + | 16.1227i | 0.608521 | + | 0.510610i | 0.894172 | − | 0.447724i | \(-0.147765\pi\) |
−0.285651 | + | 0.958334i | \(0.592210\pi\) | |||||||
\(998\) | 7.51954 | − | 13.0242i | 0.238027 | − | 0.412275i | ||||
\(999\) | 38.1275 | − | 32.8446i | 1.20630 | − | 1.03916i |
(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 | 189.2.w.a.25.14 | yes | 132 | |
3.2 | odd | 2 | 567.2.w.a.235.9 | 132 | |||
7.2 | even | 3 | 189.2.u.a.79.9 | yes | 132 | ||
21.2 | odd | 6 | 567.2.u.a.478.14 | 132 | |||
27.13 | even | 9 | 189.2.u.a.67.9 | ✓ | 132 | ||
27.14 | odd | 18 | 567.2.u.a.172.14 | 132 | |||
189.121 | even | 9 | inner | 189.2.w.a.121.14 | yes | 132 | |
189.149 | odd | 18 | 567.2.w.a.415.9 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.u.a.67.9 | ✓ | 132 | 27.13 | even | 9 | ||
189.2.u.a.79.9 | yes | 132 | 7.2 | even | 3 | ||
189.2.w.a.25.14 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.w.a.121.14 | yes | 132 | 189.121 | even | 9 | inner | |
567.2.u.a.172.14 | 132 | 27.14 | odd | 18 | |||
567.2.u.a.478.14 | 132 | 21.2 | odd | 6 | |||
567.2.w.a.235.9 | 132 | 3.2 | odd | 2 | |||
567.2.w.a.415.9 | 132 | 189.149 | odd | 18 |