Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(6,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([36, 70]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.bc (of order \(45\), degree \(24\), 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: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(1152\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 386.32 | ||
Character | \(\chi\) | \(=\) | 475.386 |
Dual form | 475.2.bc.a.16.32 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.235316 | − | 0.943803i | 0.166394 | − | 0.667369i | −0.827917 | − | 0.560851i | \(-0.810474\pi\) |
0.994311 | − | 0.106518i | \(-0.0339703\pi\) | |||||||
\(3\) | −0.767384 | + | 0.982207i | −0.443049 | + | 0.567077i | −0.956757 | − | 0.290888i | \(-0.906049\pi\) |
0.513708 | + | 0.857965i | \(0.328272\pi\) | |||||||
\(4\) | 0.930506 | + | 0.494759i | 0.465253 | + | 0.247379i | ||||
\(5\) | 1.56582 | + | 1.59631i | 0.700257 | + | 0.713891i | ||||
\(6\) | 0.746431 | + | 0.955388i | 0.304729 | + | 0.390036i | ||||
\(7\) | 1.73336 | − | 3.00227i | 0.655150 | − | 1.13475i | −0.326706 | − | 0.945126i | \(-0.605939\pi\) |
0.981856 | − | 0.189627i | \(-0.0607279\pi\) | |||||||
\(8\) | 1.98764 | − | 2.20750i | 0.702736 | − | 0.780468i | ||||
\(9\) | 0.349914 | + | 1.40343i | 0.116638 | + | 0.467809i | ||||
\(10\) | 1.87506 | − | 1.10219i | 0.592947 | − | 0.348543i | ||||
\(11\) | −4.69845 | − | 2.09189i | −1.41664 | − | 0.630728i | −0.451452 | − | 0.892295i | \(-0.649094\pi\) |
−0.965185 | + | 0.261568i | \(0.915761\pi\) | |||||||
\(12\) | −1.20001 | + | 0.534279i | −0.346413 | + | 0.154233i | ||||
\(13\) | 2.54941 | + | 0.731032i | 0.707080 | + | 0.202752i | 0.609858 | − | 0.792511i | \(-0.291227\pi\) |
0.0972219 | + | 0.995263i | \(0.469004\pi\) | |||||||
\(14\) | −2.42567 | − | 2.34244i | −0.648286 | − | 0.626043i | ||||
\(15\) | −2.76949 | + | 0.312978i | −0.715080 | + | 0.0808106i | ||||
\(16\) | −0.437092 | − | 0.648015i | −0.109273 | − | 0.162004i | ||||
\(17\) | 0.933471 | + | 0.583297i | 0.226400 | + | 0.141470i | 0.638377 | − | 0.769724i | \(-0.279606\pi\) |
−0.411977 | + | 0.911194i | \(0.635162\pi\) | |||||||
\(18\) | 1.40690 | 0.331609 | ||||||||
\(19\) | 2.56785 | + | 3.52224i | 0.589105 | + | 0.808057i | ||||
\(20\) | 0.667218 | + | 2.26008i | 0.149194 | + | 0.505369i | ||||
\(21\) | 1.61870 | + | 4.00642i | 0.353229 | + | 0.874272i | ||||
\(22\) | −3.07995 | + | 3.94216i | −0.656648 | + | 0.840471i | ||||
\(23\) | 0.515454 | + | 1.05684i | 0.107480 | + | 0.220366i | 0.945755 | − | 0.324882i | \(-0.105324\pi\) |
−0.838275 | + | 0.545248i | \(0.816436\pi\) | |||||||
\(24\) | 0.642936 | + | 3.64627i | 0.131239 | + | 0.744292i | ||||
\(25\) | −0.0964071 | + | 4.99907i | −0.0192814 | + | 0.999814i | ||||
\(26\) | 1.28987 | − | 2.23412i | 0.252964 | − | 0.438147i | ||||
\(27\) | −5.06301 | − | 2.25420i | −0.974376 | − | 0.433820i | ||||
\(28\) | 3.09831 | − | 1.93604i | 0.585525 | − | 0.365876i | ||||
\(29\) | 6.59530 | − | 4.12120i | 1.22472 | − | 0.765288i | 0.245754 | − | 0.969332i | \(-0.420964\pi\) |
0.978962 | + | 0.204045i | \(0.0654088\pi\) | |||||||
\(30\) | −0.356318 | + | 2.68750i | −0.0650544 | + | 0.490669i | ||||
\(31\) | −7.87467 | − | 1.67381i | −1.41433 | − | 0.300626i | −0.563523 | − | 0.826100i | \(-0.690554\pi\) |
−0.850809 | + | 0.525475i | \(0.823888\pi\) | |||||||
\(32\) | 4.86822 | − | 1.77189i | 0.860588 | − | 0.313228i | ||||
\(33\) | 5.66018 | − | 3.00957i | 0.985311 | − | 0.523899i | ||||
\(34\) | 0.770178 | − | 0.743753i | 0.132084 | − | 0.127553i | ||||
\(35\) | 7.50670 | − | 1.93404i | 1.26886 | − | 0.326912i | ||||
\(36\) | −0.368761 | + | 1.47902i | −0.0614602 | + | 0.246503i | ||||
\(37\) | 4.56145 | + | 3.31409i | 0.749898 | + | 0.544833i | 0.895795 | − | 0.444467i | \(-0.146607\pi\) |
−0.145897 | + | 0.989300i | \(0.546607\pi\) | |||||||
\(38\) | 3.92855 | − | 1.59470i | 0.637296 | − | 0.258695i | ||||
\(39\) | −2.67440 | + | 1.94307i | −0.428247 | + | 0.311140i | ||||
\(40\) | 6.63613 | − | 0.283659i | 1.04927 | − | 0.0448504i | ||||
\(41\) | −5.26675 | − | 7.80827i | −0.822528 | − | 1.21945i | −0.972994 | − | 0.230832i | \(-0.925855\pi\) |
0.150466 | − | 0.988615i | \(-0.451923\pi\) | |||||||
\(42\) | 4.16217 | − | 0.584956i | 0.642238 | − | 0.0902606i | ||||
\(43\) | 1.13747 | + | 6.45089i | 0.173462 | + | 0.983752i | 0.939904 | + | 0.341438i | \(0.110914\pi\) |
−0.766442 | + | 0.642313i | \(0.777975\pi\) | |||||||
\(44\) | −3.33696 | − | 4.27111i | −0.503066 | − | 0.643894i | ||||
\(45\) | −1.69240 | + | 2.75609i | −0.252288 | + | 0.410853i | ||||
\(46\) | 1.11874 | − | 0.237796i | 0.164949 | − | 0.0350611i | ||||
\(47\) | −5.50976 | + | 3.44288i | −0.803681 | + | 0.502195i | −0.868493 | − | 0.495702i | \(-0.834911\pi\) |
0.0648120 | + | 0.997897i | \(0.479355\pi\) | |||||||
\(48\) | 0.971902 | + | 0.0679620i | 0.140282 | + | 0.00980948i | ||||
\(49\) | −2.50910 | − | 4.34589i | −0.358443 | − | 0.620841i | ||||
\(50\) | 4.69545 | + | 1.26735i | 0.664037 | + | 0.179231i | ||||
\(51\) | −1.28925 | + | 0.469248i | −0.180531 | + | 0.0657079i | ||||
\(52\) | 2.01056 | + | 1.94157i | 0.278814 | + | 0.269248i | ||||
\(53\) | 0.935362 | + | 0.497341i | 0.128482 | + | 0.0683150i | 0.532468 | − | 0.846450i | \(-0.321265\pi\) |
−0.403986 | + | 0.914765i | \(0.632376\pi\) | |||||||
\(54\) | −3.31893 | + | 4.24803i | −0.451649 | + | 0.578084i | ||||
\(55\) | −4.01764 | − | 10.7757i | −0.541739 | − | 1.45300i | ||||
\(56\) | −3.18221 | − | 9.79383i | −0.425241 | − | 1.30876i | ||||
\(57\) | −5.43009 | − | 0.180751i | −0.719233 | − | 0.0239410i | ||||
\(58\) | −2.33762 | − | 7.19445i | −0.306944 | − | 0.944677i | ||||
\(59\) | −6.78986 | + | 0.474793i | −0.883964 | + | 0.0618128i | −0.504518 | − | 0.863401i | \(-0.668330\pi\) |
−0.379446 | + | 0.925214i | \(0.623885\pi\) | |||||||
\(60\) | −2.73188 | − | 1.07900i | −0.352684 | − | 0.139299i | ||||
\(61\) | −2.13863 | − | 4.38485i | −0.273824 | − | 0.561422i | 0.716922 | − | 0.697154i | \(-0.245550\pi\) |
−0.990746 | + | 0.135731i | \(0.956662\pi\) | |||||||
\(62\) | −3.43279 | + | 7.03826i | −0.435965 | + | 0.893860i | ||||
\(63\) | 4.82000 | + | 1.38211i | 0.607263 | + | 0.174130i | ||||
\(64\) | −0.690149 | − | 6.56633i | −0.0862686 | − | 0.820791i | ||||
\(65\) | 2.82497 | + | 5.21432i | 0.350394 | + | 0.646756i | ||||
\(66\) | −1.50851 | − | 6.05030i | −0.185685 | − | 0.744740i | ||||
\(67\) | 1.95407 | − | 4.83648i | 0.238727 | − | 0.590871i | −0.759492 | − | 0.650516i | \(-0.774553\pi\) |
0.998220 | + | 0.0596456i | \(0.0189971\pi\) | |||||||
\(68\) | 0.580008 | + | 1.00460i | 0.0703363 | + | 0.121826i | ||||
\(69\) | −1.43358 | − | 0.304718i | −0.172583 | − | 0.0366837i | ||||
\(70\) | −0.0589032 | − | 7.53995i | −0.00704027 | − | 0.901197i | ||||
\(71\) | −2.28218 | − | 0.320740i | −0.270845 | − | 0.0380648i | 0.00244298 | − | 0.999997i | \(-0.499222\pi\) |
−0.273288 | + | 0.961932i | \(0.588111\pi\) | |||||||
\(72\) | 3.79356 | + | 2.01707i | 0.447076 | + | 0.237714i | ||||
\(73\) | 6.64413 | − | 1.90517i | 0.777637 | − | 0.222984i | 0.136736 | − | 0.990608i | \(-0.456339\pi\) |
0.640901 | + | 0.767624i | \(0.278561\pi\) | |||||||
\(74\) | 4.20123 | − | 3.52525i | 0.488383 | − | 0.409802i | ||||
\(75\) | −4.83614 | − | 3.93090i | −0.558429 | − | 0.453901i | ||||
\(76\) | 0.646740 | + | 4.54793i | 0.0741861 | + | 0.521683i | ||||
\(77\) | −14.4245 | + | 10.4800i | −1.64383 | + | 1.19431i | ||||
\(78\) | 1.20454 | + | 2.98134i | 0.136387 | + | 0.337571i | ||||
\(79\) | −2.59825 | + | 3.32561i | −0.292326 | + | 0.374160i | −0.911645 | − | 0.410980i | \(-0.865187\pi\) |
0.619318 | + | 0.785140i | \(0.287409\pi\) | |||||||
\(80\) | 0.350025 | − | 1.71241i | 0.0391340 | − | 0.191453i | ||||
\(81\) | 2.26809 | − | 1.20597i | 0.252010 | − | 0.133996i | ||||
\(82\) | −8.60882 | + | 3.13335i | −0.950685 | + | 0.346021i | ||||
\(83\) | −6.16926 | − | 1.31132i | −0.677164 | − | 0.143936i | −0.143523 | − | 0.989647i | \(-0.545843\pi\) |
−0.533641 | + | 0.845711i | \(0.679177\pi\) | |||||||
\(84\) | −0.476002 | + | 4.52886i | −0.0519361 | + | 0.494139i | ||||
\(85\) | 0.530525 | + | 2.40345i | 0.0575436 | + | 0.260690i | ||||
\(86\) | 6.35603 | + | 0.444457i | 0.685389 | + | 0.0479271i | ||||
\(87\) | −1.01326 | + | 9.64049i | −0.108632 | + | 1.03357i | ||||
\(88\) | −13.9567 | + | 6.21391i | −1.48779 | + | 0.662405i | ||||
\(89\) | −2.49167 | + | 3.69405i | −0.264116 | + | 0.391569i | −0.937646 | − | 0.347591i | \(-0.887000\pi\) |
0.673530 | + | 0.739160i | \(0.264777\pi\) | |||||||
\(90\) | 2.20295 | + | 2.24585i | 0.232212 | + | 0.236733i | ||||
\(91\) | 6.61382 | − | 6.38689i | 0.693316 | − | 0.669528i | ||||
\(92\) | −0.0432465 | + | 1.23842i | −0.00450876 | + | 0.129114i | ||||
\(93\) | 7.68693 | − | 6.45010i | 0.797097 | − | 0.668844i | ||||
\(94\) | 1.95286 | + | 6.01029i | 0.201422 | + | 0.619914i | ||||
\(95\) | −1.60179 | + | 9.61427i | −0.164340 | + | 0.986404i | ||||
\(96\) | −1.99544 | + | 6.14132i | −0.203658 | + | 0.626796i | ||||
\(97\) | −4.88431 | − | 12.0891i | −0.495927 | − | 1.22746i | −0.942949 | − | 0.332938i | \(-0.891960\pi\) |
0.447022 | − | 0.894523i | \(-0.352485\pi\) | |||||||
\(98\) | −4.69209 | + | 1.34544i | −0.473973 | + | 0.135910i | ||||
\(99\) | 1.29176 | − | 7.32592i | 0.129827 | − | 0.736283i | ||||
\(100\) | −2.56304 | + | 4.60396i | −0.256304 | + | 0.460396i | ||||
\(101\) | −2.40242 | + | 0.874411i | −0.239050 | + | 0.0870071i | −0.458767 | − | 0.888557i | \(-0.651709\pi\) |
0.219717 | + | 0.975564i | \(0.429487\pi\) | |||||||
\(102\) | 0.139496 | + | 1.32722i | 0.0138122 | + | 0.131414i | ||||
\(103\) | −3.49366 | + | 0.742600i | −0.344240 | + | 0.0731706i | −0.376788 | − | 0.926300i | \(-0.622971\pi\) |
0.0325473 | + | 0.999470i | \(0.489638\pi\) | |||||||
\(104\) | 6.68106 | − | 4.17479i | 0.655132 | − | 0.409372i | ||||
\(105\) | −3.86089 | + | 8.85728i | −0.376784 | + | 0.864382i | ||||
\(106\) | 0.689498 | − | 0.765765i | 0.0669700 | − | 0.0743777i | ||||
\(107\) | 7.56451 | − | 13.1021i | 0.731289 | − | 1.26663i | −0.225044 | − | 0.974349i | \(-0.572253\pi\) |
0.956333 | − | 0.292281i | \(-0.0944141\pi\) | |||||||
\(108\) | −3.59587 | − | 4.60251i | −0.346013 | − | 0.442877i | ||||
\(109\) | −3.78907 | + | 7.76875i | −0.362927 | + | 0.744111i | −0.999636 | − | 0.0269935i | \(-0.991407\pi\) |
0.636708 | + | 0.771105i | \(0.280296\pi\) | |||||||
\(110\) | −11.1156 | + | 1.25616i | −1.05983 | + | 0.119770i | ||||
\(111\) | −6.75551 | + | 1.93711i | −0.641204 | + | 0.183862i | ||||
\(112\) | −2.70316 | + | 0.189023i | −0.255425 | + | 0.0178610i | ||||
\(113\) | −8.80767 | − | 6.39914i | −0.828555 | − | 0.601981i | 0.0905948 | − | 0.995888i | \(-0.471123\pi\) |
−0.919150 | + | 0.393907i | \(0.871123\pi\) | |||||||
\(114\) | −1.44838 | + | 5.08240i | −0.135653 | + | 0.476010i | ||||
\(115\) | −0.879931 | + | 2.47764i | −0.0820540 | + | 0.231041i | ||||
\(116\) | 8.17596 | − | 0.571719i | 0.759119 | − | 0.0530828i | ||||
\(117\) | −0.133876 | + | 3.83371i | −0.0123769 | + | 0.354427i | ||||
\(118\) | −1.14965 | + | 6.52001i | −0.105834 | + | 0.600216i | ||||
\(119\) | 3.36926 | − | 1.79147i | 0.308860 | − | 0.164224i | ||||
\(120\) | −4.81385 | + | 6.73573i | −0.439443 | + | 0.614885i | ||||
\(121\) | 10.3390 | + | 11.4827i | 0.939913 | + | 1.04388i | ||||
\(122\) | −4.64169 | + | 0.986621i | −0.420239 | + | 0.0893245i | ||||
\(123\) | 11.7110 | + | 0.818910i | 1.05594 | + | 0.0738386i | ||||
\(124\) | −6.49929 | − | 5.45355i | −0.583654 | − | 0.489743i | ||||
\(125\) | −8.13102 | + | 7.67376i | −0.727260 | + | 0.686362i | ||||
\(126\) | 2.43867 | − | 4.22390i | 0.217254 | − | 0.376295i | ||||
\(127\) | 6.08133 | − | 9.01594i | 0.539631 | − | 0.800036i | −0.456331 | − | 0.889810i | \(-0.650837\pi\) |
0.995962 | + | 0.0897743i | \(0.0286146\pi\) | |||||||
\(128\) | 3.90075 | + | 0.548215i | 0.344781 | + | 0.0484558i | ||||
\(129\) | −7.20898 | − | 3.83308i | −0.634716 | − | 0.337484i | ||||
\(130\) | 5.58605 | − | 1.43920i | 0.489929 | − | 0.126226i | ||||
\(131\) | −8.29098 | − | 5.18078i | −0.724386 | − | 0.452647i | 0.116965 | − | 0.993136i | \(-0.462684\pi\) |
−0.841351 | + | 0.540489i | \(0.818239\pi\) | |||||||
\(132\) | 6.75584 | 0.588021 | ||||||||
\(133\) | 15.0257 | − | 1.60407i | 1.30290 | − | 0.139090i | ||||
\(134\) | −4.10486 | − | 2.98236i | −0.354606 | − | 0.257636i | ||||
\(135\) | −4.32937 | − | 11.6118i | −0.372613 | − | 0.999384i | ||||
\(136\) | 3.14303 | − | 0.901249i | 0.269512 | − | 0.0772815i | ||||
\(137\) | −7.71467 | + | 7.44997i | −0.659109 | + | 0.636494i | −0.947024 | − | 0.321162i | \(-0.895927\pi\) |
0.287916 | + | 0.957656i | \(0.407038\pi\) | |||||||
\(138\) | −0.624940 | + | 1.28132i | −0.0531984 | + | 0.109073i | ||||
\(139\) | −10.0987 | + | 14.9719i | −0.856558 | + | 1.26990i | 0.104771 | + | 0.994496i | \(0.466589\pi\) |
−0.961329 | + | 0.275403i | \(0.911189\pi\) | |||||||
\(140\) | 7.94191 | + | 1.91437i | 0.671214 | + | 0.161794i | ||||
\(141\) | 0.846481 | − | 8.05373i | 0.0712866 | − | 0.678246i | ||||
\(142\) | −0.839750 | + | 2.07845i | −0.0704703 | + | 0.174420i | ||||
\(143\) | −10.4491 | − | 8.76780i | −0.873794 | − | 0.733200i | ||||
\(144\) | 0.756498 | − | 0.840177i | 0.0630415 | − | 0.0700147i | ||||
\(145\) | 16.9058 | + | 4.07507i | 1.40395 | + | 0.338416i | ||||
\(146\) | −0.234635 | − | 6.71907i | −0.0194185 | − | 0.556074i | ||||
\(147\) | 6.19401 | + | 0.870511i | 0.510873 | + | 0.0717985i | ||||
\(148\) | 2.60478 | + | 5.34060i | 0.214112 | + | 0.438994i | ||||
\(149\) | −22.5293 | − | 8.19998i | −1.84567 | − | 0.671769i | −0.987328 | − | 0.158690i | \(-0.949273\pi\) |
−0.858341 | − | 0.513079i | \(-0.828505\pi\) | |||||||
\(150\) | −4.84802 | + | 3.63936i | −0.395839 | + | 0.297152i | ||||
\(151\) | −3.87523 | −0.315361 | −0.157681 | − | 0.987490i | \(-0.550402\pi\) | ||||
−0.157681 | + | 0.987490i | \(0.550402\pi\) | |||||||
\(152\) | 12.8793 | + | 1.33242i | 1.04465 | + | 0.108074i | ||||
\(153\) | −0.491981 | + | 1.51416i | −0.0397743 | + | 0.122413i | ||||
\(154\) | 6.49676 | + | 16.0801i | 0.523524 | + | 1.29577i | ||||
\(155\) | −9.65840 | − | 15.1913i | −0.775782 | − | 1.22019i | ||||
\(156\) | −3.44990 | + | 0.484851i | −0.276213 | + | 0.0388192i | ||||
\(157\) | 1.05167 | + | 5.96430i | 0.0839322 | + | 0.476003i | 0.997582 | + | 0.0695007i | \(0.0221406\pi\) |
−0.913650 | + | 0.406502i | \(0.866748\pi\) | |||||||
\(158\) | 2.52731 | + | 3.23481i | 0.201062 | + | 0.257347i | ||||
\(159\) | −1.20627 | + | 0.537068i | −0.0956637 | + | 0.0425922i | ||||
\(160\) | 10.4512 | + | 4.99673i | 0.826244 | + | 0.395026i | ||||
\(161\) | 4.06639 | + | 0.284349i | 0.320476 | + | 0.0224099i | ||||
\(162\) | −0.604475 | − | 2.42442i | −0.0474920 | − | 0.190480i | ||||
\(163\) | 2.28889 | − | 21.7773i | 0.179280 | − | 1.70573i | −0.421919 | − | 0.906633i | \(-0.638643\pi\) |
0.601199 | − | 0.799099i | \(-0.294690\pi\) | |||||||
\(164\) | −1.03753 | − | 9.87141i | −0.0810173 | − | 0.770828i | ||||
\(165\) | 13.6670 | + | 4.32295i | 1.06398 | + | 0.336541i | ||||
\(166\) | −2.68935 | + | 5.51399i | −0.208734 | + | 0.427968i | ||||
\(167\) | −13.6203 | + | 1.91420i | −1.05397 | + | 0.148125i | −0.644813 | − | 0.764340i | \(-0.723065\pi\) |
−0.409154 | + | 0.912466i | \(0.634176\pi\) | |||||||
\(168\) | 12.0615 | + | 4.39004i | 0.930568 | + | 0.338699i | ||||
\(169\) | −5.05953 | − | 3.16155i | −0.389195 | − | 0.243196i | ||||
\(170\) | 2.39322 | + | 0.0648592i | 0.183552 | + | 0.00497448i | ||||
\(171\) | −4.04468 | + | 4.83627i | −0.309304 | + | 0.369839i | ||||
\(172\) | −2.13322 | + | 6.56536i | −0.162656 | + | 0.500604i | ||||
\(173\) | 4.95323 | − | 19.8663i | 0.376587 | − | 1.51041i | −0.420919 | − | 0.907098i | \(-0.638292\pi\) |
0.797506 | − | 0.603311i | \(-0.206152\pi\) | |||||||
\(174\) | 8.86028 | + | 3.22488i | 0.671696 | + | 0.244477i | ||||
\(175\) | 14.8415 | + | 8.95465i | 1.12191 | + | 0.676908i | ||||
\(176\) | 0.698082 | + | 3.95902i | 0.0526199 | + | 0.298422i | ||||
\(177\) | 4.74408 | − | 7.03339i | 0.356587 | − | 0.528662i | ||||
\(178\) | 2.90013 | + | 3.22092i | 0.217374 | + | 0.241418i | ||||
\(179\) | 9.22882 | − | 1.96165i | 0.689795 | − | 0.146620i | 0.150339 | − | 0.988634i | \(-0.451963\pi\) |
0.539456 | + | 0.842014i | \(0.318630\pi\) | |||||||
\(180\) | −2.93839 | + | 1.72722i | −0.219015 | + | 0.128740i | ||||
\(181\) | 0.496277 | − | 1.22833i | 0.0368880 | − | 0.0913009i | −0.907615 | − | 0.419803i | \(-0.862099\pi\) |
0.944503 | + | 0.328502i | \(0.106544\pi\) | |||||||
\(182\) | −4.47162 | − | 7.74508i | −0.331459 | − | 0.574103i | ||||
\(183\) | 5.94798 | + | 1.26428i | 0.439687 | + | 0.0934585i | ||||
\(184\) | 3.35750 | + | 0.962749i | 0.247518 | + | 0.0709748i | ||||
\(185\) | 1.85211 | + | 12.4708i | 0.136170 | + | 0.916869i | ||||
\(186\) | −4.27876 | − | 8.77275i | −0.313734 | − | 0.643250i | ||||
\(187\) | −3.16568 | − | 4.69331i | −0.231497 | − | 0.343209i | ||||
\(188\) | −6.83025 | + | 0.477618i | −0.498147 | + | 0.0348339i | ||||
\(189\) | −15.5438 | + | 11.2932i | −1.13064 | + | 0.821459i | ||||
\(190\) | 8.69705 | + | 3.77417i | 0.630950 | + | 0.273807i | ||||
\(191\) | 15.9587 | + | 11.5947i | 1.15473 | + | 0.838960i | 0.989102 | − | 0.147229i | \(-0.0470355\pi\) |
0.165626 | + | 0.986189i | \(0.447035\pi\) | |||||||
\(192\) | 6.97910 | + | 4.36103i | 0.503673 | + | 0.314730i | ||||
\(193\) | 2.58406 | + | 0.940521i | 0.186005 | + | 0.0677002i | 0.433343 | − | 0.901229i | \(-0.357334\pi\) |
−0.247339 | + | 0.968929i | \(0.579556\pi\) | |||||||
\(194\) | −12.5591 | + | 1.76506i | −0.901689 | + | 0.126724i | ||||
\(195\) | −7.28937 | − | 1.22668i | −0.522003 | − | 0.0878442i | ||||
\(196\) | −0.184566 | − | 5.28527i | −0.0131833 | − | 0.377520i | ||||
\(197\) | 7.65039 | + | 8.49662i | 0.545068 | + | 0.605359i | 0.951245 | − | 0.308435i | \(-0.0998053\pi\) |
−0.406178 | + | 0.913794i | \(0.633139\pi\) | |||||||
\(198\) | −6.61025 | − | 2.94307i | −0.469770 | − | 0.209155i | ||||
\(199\) | 9.11252 | + | 7.64631i | 0.645969 | + | 0.542032i | 0.905845 | − | 0.423610i | \(-0.139237\pi\) |
−0.259876 | + | 0.965642i | \(0.583682\pi\) | |||||||
\(200\) | 10.8438 | + | 10.1492i | 0.766773 | + | 0.717654i | ||||
\(201\) | 3.25091 | + | 5.63074i | 0.229301 | + | 0.397162i | ||||
\(202\) | 0.259941 | + | 2.47318i | 0.0182894 | + | 0.174012i | ||||
\(203\) | −0.940920 | − | 26.9444i | −0.0660397 | − | 1.89113i | ||||
\(204\) | −1.43182 | − | 0.201229i | −0.100247 | − | 0.0140888i | ||||
\(205\) | 4.21764 | − | 20.6337i | 0.294572 | − | 1.44112i | ||||
\(206\) | −0.121247 | + | 3.47207i | −0.00844771 | + | 0.241911i | ||||
\(207\) | −1.30283 | + | 1.09321i | −0.0905530 | + | 0.0759830i | ||||
\(208\) | −0.640607 | − | 1.97159i | −0.0444181 | − | 0.136705i | ||||
\(209\) | −4.69680 | − | 21.9207i | −0.324884 | − | 1.51629i | ||||
\(210\) | 7.45099 | + | 5.72818i | 0.514167 | + | 0.395282i | ||||
\(211\) | 0.905493 | − | 3.63174i | 0.0623367 | − | 0.250019i | −0.931041 | − | 0.364915i | \(-0.881098\pi\) |
0.993378 | + | 0.114896i | \(0.0366535\pi\) | |||||||
\(212\) | 0.624296 | + | 0.925557i | 0.0428768 | + | 0.0635675i | ||||
\(213\) | 2.06634 | − | 1.99544i | 0.141583 | − | 0.136726i | ||||
\(214\) | −10.5858 | − | 10.2225i | −0.723627 | − | 0.698799i | ||||
\(215\) | −8.51655 | + | 11.9167i | −0.580824 | + | 0.812712i | ||||
\(216\) | −15.0396 | + | 6.69605i | −1.02331 | + | 0.455608i | ||||
\(217\) | −18.6749 | + | 20.7406i | −1.26774 | + | 1.40796i | ||||
\(218\) | 6.44054 | + | 5.40425i | 0.436208 | + | 0.366022i | ||||
\(219\) | −3.22733 | + | 7.98791i | −0.218082 | + | 0.539773i | ||||
\(220\) | 1.59294 | − | 12.0146i | 0.107396 | − | 0.810025i | ||||
\(221\) | 1.95339 | + | 2.16946i | 0.131399 | + | 0.145934i | ||||
\(222\) | 0.238568 | + | 6.83170i | 0.0160117 | + | 0.458514i | ||||
\(223\) | 3.95062 | + | 3.81507i | 0.264553 | + | 0.255476i | 0.815089 | − | 0.579335i | \(-0.196688\pi\) |
−0.550536 | + | 0.834811i | \(0.685577\pi\) | |||||||
\(224\) | 3.11871 | − | 17.6871i | 0.208377 | − | 1.18177i | ||||
\(225\) | −7.04957 | + | 1.61394i | −0.469971 | + | 0.107596i | ||||
\(226\) | −8.11212 | + | 6.80687i | −0.539610 | + | 0.452787i | ||||
\(227\) | 12.8307 | − | 9.32205i | 0.851604 | − | 0.618726i | −0.0739839 | − | 0.997259i | \(-0.523571\pi\) |
0.925588 | + | 0.378533i | \(0.123571\pi\) | |||||||
\(228\) | −4.96330 | − | 2.85477i | −0.328703 | − | 0.189062i | ||||
\(229\) | −5.94364 | + | 18.2926i | −0.392767 | + | 1.20881i | 0.537921 | + | 0.842995i | \(0.319210\pi\) |
−0.930687 | + | 0.365816i | \(0.880790\pi\) | |||||||
\(230\) | 2.13134 | + | 1.41351i | 0.140537 | + | 0.0932042i | ||||
\(231\) | 0.775594 | − | 22.2101i | 0.0510303 | − | 1.46132i | ||||
\(232\) | 4.01154 | − | 22.7506i | 0.263370 | − | 1.49365i | ||||
\(233\) | −17.4156 | + | 9.26003i | −1.14093 | + | 0.606645i | −0.928795 | − | 0.370595i | \(-0.879154\pi\) |
−0.212138 | + | 0.977240i | \(0.568043\pi\) | |||||||
\(234\) | 3.58677 | + | 1.02849i | 0.234474 | + | 0.0672344i | ||||
\(235\) | −14.1232 | − | 3.40434i | −0.921296 | − | 0.222075i | ||||
\(236\) | −6.55291 | − | 2.91754i | −0.426558 | − | 0.189916i | ||||
\(237\) | −1.27258 | − | 5.10404i | −0.0826630 | − | 0.331543i | ||||
\(238\) | −0.897950 | − | 3.60148i | −0.0582054 | − | 0.233449i | ||||
\(239\) | 24.9509 | + | 11.1089i | 1.61394 | + | 0.718572i | 0.997622 | − | 0.0689262i | \(-0.0219573\pi\) |
0.616317 | + | 0.787498i | \(0.288624\pi\) | |||||||
\(240\) | 1.41334 | + | 1.65787i | 0.0912305 | + | 0.107015i | ||||
\(241\) | 11.1324 | + | 3.19215i | 0.717098 | + | 0.205625i | 0.614294 | − | 0.789077i | \(-0.289441\pi\) |
0.102804 | + | 0.994702i | \(0.467219\pi\) | |||||||
\(242\) | 13.2703 | − | 7.05596i | 0.853049 | − | 0.453574i | ||||
\(243\) | 2.33116 | − | 13.2207i | 0.149544 | − | 0.848108i | ||||
\(244\) | 0.179431 | − | 5.13823i | 0.0114869 | − | 0.328942i | ||||
\(245\) | 3.00858 | − | 10.8102i | 0.192211 | − | 0.690638i | ||||
\(246\) | 3.52867 | − | 10.8601i | 0.224980 | − | 0.692417i | ||||
\(247\) | 3.97163 | + | 10.8568i | 0.252709 | + | 0.690802i | ||||
\(248\) | −19.3469 | + | 14.0564i | −1.22853 | + | 0.892580i | ||||
\(249\) | 6.02217 | − | 5.05320i | 0.381640 | − | 0.320234i | ||||
\(250\) | 5.32915 | + | 9.47984i | 0.337045 | + | 0.599558i | ||||
\(251\) | 3.74128 | − | 21.2179i | 0.236148 | − | 1.33926i | −0.604035 | − | 0.796958i | \(-0.706441\pi\) |
0.840183 | − | 0.542303i | \(-0.182447\pi\) | |||||||
\(252\) | 3.80123 | + | 3.67080i | 0.239455 | + | 0.231239i | ||||
\(253\) | −0.211053 | − | 6.04378i | −0.0132688 | − | 0.379969i | ||||
\(254\) | −7.07824 | − | 7.86118i | −0.444128 | − | 0.493254i | ||||
\(255\) | −2.76780 | − | 1.32328i | −0.173326 | − | 0.0828671i | ||||
\(256\) | 6.38199 | − | 15.7960i | 0.398875 | − | 0.987249i | ||||
\(257\) | 10.5281 | + | 8.83415i | 0.656727 | + | 0.551059i | 0.909104 | − | 0.416570i | \(-0.136768\pi\) |
−0.252377 | + | 0.967629i | \(0.581212\pi\) | |||||||
\(258\) | −5.31407 | + | 5.90187i | −0.330839 | + | 0.367434i | ||||
\(259\) | 17.8565 | − | 7.95021i | 1.10955 | − | 0.494002i | ||||
\(260\) | 0.0488230 | + | 6.24963i | 0.00302787 | + | 0.387585i | ||||
\(261\) | 8.09159 | + | 7.81396i | 0.500857 | + | 0.483672i | ||||
\(262\) | −6.84063 | + | 6.60592i | −0.422616 | + | 0.408115i | ||||
\(263\) | −5.16206 | − | 7.65307i | −0.318306 | − | 0.471909i | 0.635598 | − | 0.772021i | \(-0.280754\pi\) |
−0.953904 | + | 0.300112i | \(0.902976\pi\) | |||||||
\(264\) | 4.60678 | − | 18.4768i | 0.283528 | − | 1.13717i | ||||
\(265\) | 0.670700 | + | 2.27187i | 0.0412008 | + | 0.139560i | ||||
\(266\) | 2.02188 | − | 14.5588i | 0.123970 | − | 0.892657i | ||||
\(267\) | −1.71626 | − | 5.28209i | −0.105033 | − | 0.323259i | ||||
\(268\) | 4.21116 | − | 3.53358i | 0.257238 | − | 0.215848i | ||||
\(269\) | −0.606079 | + | 17.3558i | −0.0369533 | + | 1.05820i | 0.829363 | + | 0.558709i | \(0.188703\pi\) |
−0.866317 | + | 0.499495i | \(0.833519\pi\) | |||||||
\(270\) | −11.9780 | + | 1.35363i | −0.728959 | + | 0.0823790i | ||||
\(271\) | 8.77195 | + | 1.23282i | 0.532858 | + | 0.0748883i | 0.400470 | − | 0.916310i | \(-0.368847\pi\) |
0.132388 | + | 0.991198i | \(0.457736\pi\) | |||||||
\(272\) | −0.0300269 | − | 0.859858i | −0.00182065 | − | 0.0521365i | ||||
\(273\) | 1.19791 | + | 11.3973i | 0.0725007 | + | 0.689798i | ||||
\(274\) | 5.21591 | + | 9.03423i | 0.315105 | + | 0.545778i | ||||
\(275\) | 10.9105 | − | 23.2862i | 0.657925 | − | 1.40421i | ||||
\(276\) | −1.18320 | − | 0.992820i | −0.0712201 | − | 0.0597607i | ||||
\(277\) | −2.81581 | − | 1.25368i | −0.169186 | − | 0.0753263i | 0.320396 | − | 0.947284i | \(-0.396184\pi\) |
−0.489582 | + | 0.871957i | \(0.662851\pi\) | |||||||
\(278\) | 11.7541 | + | 13.0543i | 0.704966 | + | 0.782944i | ||||
\(279\) | −0.406381 | − | 11.6372i | −0.0243294 | − | 0.696702i | ||||
\(280\) | 10.6512 | − | 20.4152i | 0.636532 | − | 1.22004i | ||||
\(281\) | −2.74880 | + | 0.386319i | −0.163980 | + | 0.0230458i | −0.220685 | − | 0.975345i | \(-0.570829\pi\) |
0.0567055 | + | 0.998391i | \(0.481940\pi\) | |||||||
\(282\) | −7.40194 | − | 2.69409i | −0.440779 | − | 0.160430i | ||||
\(283\) | 22.5679 | + | 14.1020i | 1.34152 | + | 0.838277i | 0.995011 | − | 0.0997685i | \(-0.0318102\pi\) |
0.346513 | + | 0.938045i | \(0.387366\pi\) | |||||||
\(284\) | −1.96489 | − | 1.42758i | −0.116595 | − | 0.0847113i | ||||
\(285\) | −8.21402 | − | 8.95113i | −0.486556 | − | 0.530219i | ||||
\(286\) | −10.7339 | + | 7.79864i | −0.634709 | + | 0.461143i | ||||
\(287\) | −32.5718 | + | 2.27764i | −1.92265 | + | 0.134445i | ||||
\(288\) | 4.19018 | + | 6.21219i | 0.246908 | + | 0.366057i | ||||
\(289\) | −6.92118 | − | 14.1905i | −0.407128 | − | 0.834736i | ||||
\(290\) | 7.82427 | − | 14.9968i | 0.459457 | − | 0.880641i | ||||
\(291\) | 15.6221 | + | 4.47957i | 0.915785 | + | 0.262597i | ||||
\(292\) | 7.12500 | + | 1.51447i | 0.416959 | + | 0.0886274i | ||||
\(293\) | −0.0696395 | − | 0.120619i | −0.00406838 | − | 0.00704665i | 0.863984 | − | 0.503519i | \(-0.167962\pi\) |
−0.868052 | + | 0.496473i | \(0.834628\pi\) | |||||||
\(294\) | 2.27914 | − | 5.64107i | 0.132922 | − | 0.328994i | ||||
\(295\) | −11.3896 | − | 10.0953i | −0.663129 | − | 0.587770i | ||||
\(296\) | 16.3824 | − | 3.48218i | 0.952206 | − | 0.202398i | ||||
\(297\) | 19.0728 | + | 21.1825i | 1.10672 | + | 1.22913i | ||||
\(298\) | −13.0407 | + | 19.3336i | −0.755426 | + | 1.11997i | ||||
\(299\) | 0.541523 | + | 3.07113i | 0.0313171 | + | 0.177608i | ||||
\(300\) | −2.55521 | − | 6.05044i | −0.147525 | − | 0.349323i | ||||
\(301\) | 21.3390 | + | 7.76676i | 1.22996 | + | 0.447668i | ||||
\(302\) | −0.911904 | + | 3.65745i | −0.0524742 | + | 0.210463i | ||||
\(303\) | 0.984729 | − | 3.03069i | 0.0565712 | − | 0.174108i | ||||
\(304\) | 1.16008 | − | 3.20355i | 0.0665351 | − | 0.183736i | ||||
\(305\) | 3.65086 | − | 10.2798i | 0.209047 | − | 0.588620i | ||||
\(306\) | 1.31330 | + | 0.820640i | 0.0750763 | + | 0.0469129i | ||||
\(307\) | 23.0553 | + | 8.39145i | 1.31584 | + | 0.478925i | 0.902122 | − | 0.431481i | \(-0.142009\pi\) |
0.413715 | + | 0.910407i | \(0.364231\pi\) | |||||||
\(308\) | −18.6072 | + | 2.61507i | −1.06024 | + | 0.149008i | ||||
\(309\) | 1.95159 | − | 4.00135i | 0.111022 | − | 0.227629i | ||||
\(310\) | −16.6104 | + | 5.54086i | −0.943406 | + | 0.314700i | ||||
\(311\) | 3.38417 | + | 32.1982i | 0.191899 | + | 1.82579i | 0.490529 | + | 0.871425i | \(0.336804\pi\) |
−0.298630 | + | 0.954369i | \(0.596530\pi\) | |||||||
\(312\) | −1.02643 | + | 9.76585i | −0.0581103 | + | 0.552882i | ||||
\(313\) | 7.95470 | + | 31.9046i | 0.449626 | + | 1.80335i | 0.583218 | + | 0.812316i | \(0.301793\pi\) |
−0.133592 | + | 0.991036i | \(0.542651\pi\) | |||||||
\(314\) | 5.87660 | + | 0.410932i | 0.331636 | + | 0.0231902i | ||||
\(315\) | 5.34098 | + | 9.85836i | 0.300930 | + | 0.555456i | ||||
\(316\) | −4.06306 | + | 1.80899i | −0.228565 | + | 0.101764i | ||||
\(317\) | −4.32140 | − | 5.53113i | −0.242714 | − | 0.310659i | 0.651193 | − | 0.758912i | \(-0.274269\pi\) |
−0.893907 | + | 0.448253i | \(0.852047\pi\) | |||||||
\(318\) | 0.223030 | + | 1.26487i | 0.0125069 | + | 0.0709301i | ||||
\(319\) | −39.6088 | + | 5.56665i | −2.21767 | + | 0.311673i | ||||
\(320\) | 9.40124 | − | 11.3834i | 0.525545 | − | 0.636351i | ||||
\(321\) | 7.06410 | + | 17.4843i | 0.394280 | + | 0.975876i | ||||
\(322\) | 1.22526 | − | 3.77095i | 0.0682809 | − | 0.210147i | ||||
\(323\) | 0.342500 | + | 4.78572i | 0.0190572 | + | 0.266285i | ||||
\(324\) | 2.70714 | 0.150396 | ||||||||
\(325\) | −3.90026 | + | 12.6742i | −0.216348 | + | 0.703039i | ||||
\(326\) | −20.0149 | − | 7.28483i | −1.10852 | − | 0.403469i | ||||
\(327\) | −4.72284 | − | 9.68327i | −0.261174 | − | 0.535486i | ||||
\(328\) | −27.7051 | − | 3.89370i | −1.52976 | − | 0.214994i | ||||
\(329\) | 0.786051 | + | 22.5096i | 0.0433364 | + | 1.24099i | ||||
\(330\) | 7.29609 | − | 11.8817i | 0.401637 | − | 0.654068i | ||||
\(331\) | −18.7787 | + | 20.8559i | −1.03217 | + | 1.14634i | −0.0430761 | + | 0.999072i | \(0.513716\pi\) |
−0.989096 | + | 0.147272i | \(0.952951\pi\) | |||||||
\(332\) | −5.09174 | − | 4.27248i | −0.279446 | − | 0.234483i | ||||
\(333\) | −3.05497 | + | 7.56132i | −0.167411 | + | 0.414358i | ||||
\(334\) | −1.39844 | + | 13.3053i | −0.0765193 | + | 0.728032i | ||||
\(335\) | 10.7802 | − | 4.45378i | 0.588988 | − | 0.243336i | ||||
\(336\) | 1.88870 | − | 2.80011i | 0.103037 | − | 0.152759i | ||||
\(337\) | 6.35789 | − | 13.0356i | 0.346337 | − | 0.710095i | −0.652527 | − | 0.757766i | \(-0.726291\pi\) |
0.998863 | + | 0.0476707i | \(0.0151798\pi\) | |||||||
\(338\) | −4.17447 | + | 4.03124i | −0.227061 | + | 0.219270i | ||||
\(339\) | 13.0441 | − | 3.74035i | 0.708461 | − | 0.203148i | ||||
\(340\) | −0.695469 | + | 2.49890i | −0.0377171 | + | 0.135522i | ||||
\(341\) | 33.4973 | + | 24.3372i | 1.81398 | + | 1.31794i | ||||
\(342\) | 3.61270 | + | 4.95543i | 0.195353 | + | 0.267959i | ||||
\(343\) | 6.87036 | 0.370964 | ||||||||
\(344\) | 16.5012 | + | 10.3111i | 0.889685 | + | 0.555937i | ||||
\(345\) | −1.75831 | − | 2.76558i | −0.0946644 | − | 0.148894i | ||||
\(346\) | −17.5843 | − | 9.34975i | −0.945339 | − | 0.502645i | ||||
\(347\) | 24.7999 | + | 3.48540i | 1.33133 | + | 0.187106i | 0.768703 | − | 0.639606i | \(-0.220903\pi\) |
0.562625 | + | 0.826712i | \(0.309791\pi\) | |||||||
\(348\) | −5.71255 | + | 8.46921i | −0.306225 | + | 0.453997i | ||||
\(349\) | 15.2284 | − | 26.3764i | 0.815158 | − | 1.41189i | −0.0940566 | − | 0.995567i | \(-0.529983\pi\) |
0.909214 | − | 0.416328i | \(-0.136683\pi\) | |||||||
\(350\) | 11.9439 | − | 11.9002i | 0.638426 | − | 0.636095i | ||||
\(351\) | −11.2598 | − | 9.44810i | −0.601004 | − | 0.504302i | ||||
\(352\) | −26.5797 | − | 1.85863i | −1.41670 | − | 0.0990655i | ||||
\(353\) | 0.509052 | − | 0.108202i | 0.0270941 | − | 0.00575903i | −0.194345 | − | 0.980933i | \(-0.562258\pi\) |
0.221439 | + | 0.975174i | \(0.428925\pi\) | |||||||
\(354\) | −5.52177 | − | 6.13255i | −0.293479 | − | 0.325941i | ||||
\(355\) | −3.06149 | − | 4.14529i | −0.162487 | − | 0.220009i | ||||
\(356\) | −4.14618 | + | 2.20456i | −0.219747 | + | 0.116842i | ||||
\(357\) | −0.825925 | + | 4.68406i | −0.0437126 | + | 0.247907i | ||||
\(358\) | 0.320286 | − | 9.17180i | 0.0169277 | − | 0.484744i | ||||
\(359\) | −14.5259 | + | 1.01575i | −0.766646 | + | 0.0536091i | −0.447724 | − | 0.894172i | \(-0.647765\pi\) |
−0.318922 | + | 0.947781i | \(0.603321\pi\) | |||||||
\(360\) | 2.72017 | + | 9.21408i | 0.143366 | + | 0.485625i | ||||
\(361\) | −5.81231 | + | 18.0891i | −0.305911 | + | 0.952060i | ||||
\(362\) | −1.04252 | − | 0.757433i | −0.0547935 | − | 0.0398098i | ||||
\(363\) | −19.2124 | + | 1.34346i | −1.00839 | + | 0.0705134i | ||||
\(364\) | 9.31416 | − | 2.67079i | 0.488195 | − | 0.139988i | ||||
\(365\) | 13.4448 | + | 7.62293i | 0.703731 | + | 0.399002i | ||||
\(366\) | 2.59289 | − | 5.31621i | 0.135533 | − | 0.277883i | ||||
\(367\) | 2.74130 | + | 3.50870i | 0.143094 | + | 0.183153i | 0.854219 | − | 0.519914i | \(-0.174036\pi\) |
−0.711124 | + | 0.703066i | \(0.751814\pi\) | |||||||
\(368\) | 0.459546 | − | 0.795958i | 0.0239555 | − | 0.0414922i | ||||
\(369\) | 9.11544 | − | 10.1237i | 0.474531 | − | 0.527020i | ||||
\(370\) | 12.2058 | + | 1.18655i | 0.634548 | + | 0.0616858i | ||||
\(371\) | 3.11448 | − | 1.94614i | 0.161696 | − | 0.101039i | ||||
\(372\) | 10.3440 | − | 2.19868i | 0.536310 | − | 0.113996i | ||||
\(373\) | 1.51512 | + | 14.4154i | 0.0784498 | + | 0.746400i | 0.961068 | + | 0.276310i | \(0.0891118\pi\) |
−0.882619 | + | 0.470090i | \(0.844222\pi\) | |||||||
\(374\) | −5.17449 | + | 1.88336i | −0.267567 | + | 0.0973863i | ||||
\(375\) | −1.29760 | − | 13.8751i | −0.0670078 | − | 0.716505i | ||||
\(376\) | −3.35127 | + | 19.0060i | −0.172828 | + | 0.980158i | ||||
\(377\) | 19.8269 | − | 5.68526i | 1.02114 | − | 0.292806i | ||||
\(378\) | 7.00085 | + | 17.3277i | 0.360085 | + | 0.891241i | ||||
\(379\) | 3.96395 | − | 12.1998i | 0.203614 | − | 0.626661i | −0.796153 | − | 0.605095i | \(-0.793135\pi\) |
0.999767 | − | 0.0215655i | \(-0.00686503\pi\) | |||||||
\(380\) | −6.24722 | + | 8.15364i | −0.320476 | + | 0.418273i | ||||
\(381\) | 4.18880 | + | 12.8918i | 0.214599 | + | 0.660468i | ||||
\(382\) | 14.6984 | − | 12.3334i | 0.752036 | − | 0.631033i | ||||
\(383\) | −0.779746 | + | 22.3290i | −0.0398431 | + | 1.14096i | 0.800649 | + | 0.599134i | \(0.204488\pi\) |
−0.840492 | + | 0.541824i | \(0.817734\pi\) | |||||||
\(384\) | −3.53183 | + | 3.41065i | −0.180233 | + | 0.174049i | ||||
\(385\) | −39.3157 | − | 6.61616i | −2.00371 | − | 0.337191i | ||||
\(386\) | 1.49574 | − | 2.21752i | 0.0761310 | − | 0.112869i | ||||
\(387\) | −8.65535 | + | 3.85361i | −0.439976 | + | 0.195890i | ||||
\(388\) | 1.43630 | − | 13.6655i | 0.0729173 | − | 0.693762i | ||||
\(389\) | 22.0049 | + | 1.53874i | 1.11569 | + | 0.0780170i | 0.615677 | − | 0.787998i | \(-0.288882\pi\) |
0.500017 | + | 0.866015i | \(0.333327\pi\) | |||||||
\(390\) | −2.87305 | + | 6.59107i | −0.145483 | + | 0.333752i | ||||
\(391\) | −0.135289 | + | 1.28719i | −0.00684187 | + | 0.0650960i | ||||
\(392\) | −14.5807 | − | 3.09923i | −0.736438 | − | 0.156535i | ||||
\(393\) | 11.4510 | − | 4.16781i | 0.577624 | − | 0.210238i | ||||
\(394\) | 9.81939 | − | 5.22106i | 0.494694 | − | 0.263033i | ||||
\(395\) | −9.37710 | + | 1.05970i | −0.471813 | + | 0.0533192i | ||||
\(396\) | 4.82655 | − | 6.17770i | 0.242543 | − | 0.310441i | ||||
\(397\) | −1.47900 | − | 3.66066i | −0.0742291 | − | 0.183724i | 0.885507 | − | 0.464625i | \(-0.153811\pi\) |
−0.959737 | + | 0.280902i | \(0.909367\pi\) | |||||||
\(398\) | 9.36093 | − | 6.80111i | 0.469221 | − | 0.340909i | ||||
\(399\) | −9.95499 | + | 15.9893i | −0.498373 | + | 0.800467i | ||||
\(400\) | 3.28161 | − | 2.12258i | 0.164081 | − | 0.106129i | ||||
\(401\) | −15.5637 | + | 13.0595i | −0.777217 | + | 0.652162i | −0.942546 | − | 0.334076i | \(-0.891576\pi\) |
0.165329 | + | 0.986238i | \(0.447131\pi\) | |||||||
\(402\) | 6.07930 | − | 1.74321i | 0.303208 | − | 0.0869434i | ||||
\(403\) | −18.8522 | − | 10.0239i | −0.939093 | − | 0.499325i | ||||
\(404\) | −2.66809 | − | 0.374976i | −0.132742 | − | 0.0186557i | ||||
\(405\) | 5.47653 | + | 1.73225i | 0.272131 | + | 0.0860762i | ||||
\(406\) | −25.6516 | − | 5.45242i | −1.27307 | − | 0.270599i | ||||
\(407\) | −14.4991 | − | 25.1131i | −0.718693 | − | 1.24481i | ||||
\(408\) | −1.52670 | + | 3.77871i | −0.0755828 | + | 0.187074i | ||||
\(409\) | −7.85775 | − | 31.5157i | −0.388541 | − | 1.55835i | −0.772508 | − | 0.635005i | \(-0.780998\pi\) |
0.383967 | − | 0.923347i | \(-0.374558\pi\) | |||||||
\(410\) | −18.4817 | − | 8.83607i | −0.912745 | − | 0.436382i | ||||
\(411\) | −1.39730 | − | 13.2944i | −0.0689236 | − | 0.655764i | ||||
\(412\) | −3.61828 | − | 1.03752i | −0.178260 | − | 0.0511151i | ||||
\(413\) | −10.3438 | + | 21.2080i | −0.508987 | + | 1.04358i | ||||
\(414\) | 0.725192 | + | 1.48686i | 0.0356413 | + | 0.0730754i | ||||
\(415\) | −7.56669 | − | 11.9013i | −0.371434 | − | 0.584213i | ||||
\(416\) | 13.7064 | − | 0.958446i | 0.672012 | − | 0.0469917i | ||||
\(417\) | −6.95593 | − | 21.4082i | −0.340634 | − | 1.04836i | ||||
\(418\) | −21.7941 | − | 0.725457i | −1.06598 | − | 0.0354832i | ||||
\(419\) | −3.21043 | − | 9.88068i | −0.156840 | − | 0.482703i | 0.841503 | − | 0.540252i | \(-0.181671\pi\) |
−0.998343 | + | 0.0575497i | \(0.981671\pi\) | |||||||
\(420\) | −7.97480 | + | 6.33154i | −0.389130 | + | 0.308947i | ||||
\(421\) | 6.20274 | − | 7.93914i | 0.302303 | − | 0.386930i | −0.612741 | − | 0.790284i | \(-0.709933\pi\) |
0.915044 | + | 0.403353i | \(0.132155\pi\) | |||||||
\(422\) | −3.21456 | − | 1.70921i | −0.156483 | − | 0.0832033i | ||||
\(423\) | −6.75977 | − | 6.52784i | −0.328671 | − | 0.317394i | ||||
\(424\) | 2.95704 | − | 1.07627i | 0.143607 | − | 0.0522685i | ||||
\(425\) | −3.00594 | + | 4.61025i | −0.145809 | + | 0.223630i | ||||
\(426\) | −1.39706 | − | 2.41978i | −0.0676878 | − | 0.117239i | ||||
\(427\) | −16.8716 | − | 1.17977i | −0.816472 | − | 0.0570933i | ||||
\(428\) | 13.5212 | − | 8.44898i | 0.653572 | − | 0.408397i | ||||
\(429\) | 16.6302 | − | 3.53487i | 0.802915 | − | 0.170665i | ||||
\(430\) | 9.24292 | + | 10.8421i | 0.445733 | + | 0.522854i | ||||
\(431\) | −17.1467 | − | 21.9468i | −0.825929 | − | 1.05714i | −0.997408 | − | 0.0719535i | \(-0.977077\pi\) |
0.171479 | − | 0.985188i | \(-0.445146\pi\) | |||||||
\(432\) | 0.752246 | + | 4.26620i | 0.0361924 | + | 0.205258i | ||||
\(433\) | 0.383095 | − | 0.0538405i | 0.0184104 | − | 0.00258741i | −0.129962 | − | 0.991519i | \(-0.541486\pi\) |
0.148372 | + | 0.988932i | \(0.452597\pi\) | |||||||
\(434\) | 15.1805 | + | 22.5060i | 0.728688 | + | 1.08032i | ||||
\(435\) | −16.9758 | + | 13.4778i | −0.813926 | + | 0.646212i | ||||
\(436\) | −7.36941 | + | 5.35419i | −0.352931 | + | 0.256419i | ||||
\(437\) | −2.39883 | + | 4.52935i | −0.114751 | + | 0.216668i | ||||
\(438\) | 6.77957 | + | 4.92564i | 0.323940 | + | 0.235356i | ||||
\(439\) | −5.25411 | + | 21.0731i | −0.250765 | + | 1.00576i | 0.704427 | + | 0.709776i | \(0.251204\pi\) |
−0.955192 | + | 0.295987i | \(0.904352\pi\) | |||||||
\(440\) | −31.7730 | − | 12.5493i | −1.51472 | − | 0.598264i | ||||
\(441\) | 5.22117 | − | 5.04203i | 0.248627 | − | 0.240097i | ||||
\(442\) | 2.50721 | − | 1.33311i | 0.119256 | − | 0.0634094i | ||||
\(443\) | 6.00921 | − | 2.18718i | 0.285506 | − | 0.103916i | −0.195297 | − | 0.980744i | \(-0.562567\pi\) |
0.480804 | + | 0.876828i | \(0.340345\pi\) | |||||||
\(444\) | −7.24444 | − | 1.53985i | −0.343806 | − | 0.0730782i | ||||
\(445\) | −9.79836 | + | 1.80675i | −0.464487 | + | 0.0856482i | ||||
\(446\) | 4.53032 | − | 2.83086i | 0.214517 | − | 0.134045i | ||||
\(447\) | 25.3427 | − | 15.8359i | 1.19867 | − | 0.749011i | ||||
\(448\) | −20.9102 | − | 9.30982i | −0.987914 | − | 0.439848i | ||||
\(449\) | −14.3302 | + | 24.8206i | −0.676282 | + | 1.17136i | 0.299810 | + | 0.953999i | \(0.403077\pi\) |
−0.976092 | + | 0.217356i | \(0.930257\pi\) | |||||||
\(450\) | −0.135635 | + | 7.03319i | −0.00639390 | + | 0.331548i | ||||
\(451\) | 8.41155 | + | 47.7043i | 0.396084 | + | 2.24631i | ||||
\(452\) | −5.02955 | − | 10.3121i | −0.236570 | − | 0.485041i | ||||
\(453\) | 2.97379 | − | 3.80627i | 0.139721 | − | 0.178834i | ||||
\(454\) | −5.77890 | − | 14.3033i | −0.271217 | − | 0.671287i | ||||
\(455\) | 20.5515 | + | 0.556971i | 0.963469 | + | 0.0261112i | ||||
\(456\) | −11.1921 | + | 11.6276i | −0.524117 | + | 0.544514i | ||||
\(457\) | −13.6106 | −0.636676 | −0.318338 | − | 0.947977i | \(-0.603125\pi\) | ||||
−0.318338 | + | 0.947977i | \(0.603125\pi\) | |||||||
\(458\) | 15.8660 | + | 9.91418i | 0.741369 | + | 0.463259i | ||||
\(459\) | −3.41130 | − | 5.05746i | −0.159226 | − | 0.236062i | ||||
\(460\) | −2.04462 | + | 1.87011i | −0.0953307 | + | 0.0871942i | ||||
\(461\) | −24.4166 | − | 23.5788i | −1.13719 | − | 1.09817i | −0.994100 | − | 0.108464i | \(-0.965407\pi\) |
−0.143092 | − | 0.989709i | \(-0.545704\pi\) | |||||||
\(462\) | −20.7794 | − | 5.95841i | −0.966747 | − | 0.277210i | ||||
\(463\) | 9.02971 | − | 4.02029i | 0.419646 | − | 0.186839i | −0.186040 | − | 0.982542i | \(-0.559565\pi\) |
0.605686 | + | 0.795704i | \(0.292899\pi\) | |||||||
\(464\) | −5.55335 | − | 2.47251i | −0.257808 | − | 0.114783i | ||||
\(465\) | 22.3327 | + | 2.17101i | 1.03565 | + | 0.100678i | ||||
\(466\) | 4.64147 | + | 18.6159i | 0.215012 | + | 0.862365i | ||||
\(467\) | −4.71796 | + | 5.23982i | −0.218321 | + | 0.242470i | −0.842350 | − | 0.538931i | \(-0.818828\pi\) |
0.624029 | + | 0.781402i | \(0.285495\pi\) | |||||||
\(468\) | −2.02134 | + | 3.50106i | −0.0934363 | + | 0.161836i | ||||
\(469\) | −11.1333 | − | 14.2500i | −0.514090 | − | 0.658005i | ||||
\(470\) | −6.53645 | + | 12.5284i | −0.301504 | + | 0.577892i | ||||
\(471\) | −6.66521 | − | 3.54395i | −0.307117 | − | 0.163297i | ||||
\(472\) | −12.4477 | + | 15.9323i | −0.572951 | + | 0.733344i | ||||
\(473\) | 8.15020 | − | 32.6887i | 0.374747 | − | 1.50303i | ||||
\(474\) | −5.11667 | −0.235016 | ||||||||
\(475\) | −17.8555 | + | 12.4973i | −0.819265 | + | 0.573415i | ||||
\(476\) | 4.02146 | 0.184323 | ||||||||
\(477\) | −0.370686 | + | 1.48674i | −0.0169725 | + | 0.0680731i | ||||
\(478\) | 16.3559 | − | 20.9346i | 0.748102 | − | 0.957527i | ||||
\(479\) | 13.1186 | + | 6.97531i | 0.599406 | + | 0.318710i | 0.741302 | − | 0.671172i | \(-0.234209\pi\) |
−0.141896 | + | 0.989882i | \(0.545320\pi\) | |||||||
\(480\) | −12.9279 | + | 6.43088i | −0.590077 | + | 0.293528i | ||||
\(481\) | 9.20632 | + | 11.7835i | 0.419772 | + | 0.537284i | ||||
\(482\) | 5.63239 | − | 9.75558i | 0.256548 | − | 0.444355i | ||||
\(483\) | −3.39977 | + | 3.77583i | −0.154695 | + | 0.171806i | ||||
\(484\) | 3.93939 | + | 15.8000i | 0.179063 | + | 0.718183i | ||||
\(485\) | 11.6500 | − | 26.7262i | 0.528998 | − | 1.21358i | ||||
\(486\) | −11.9292 | − | 5.31120i | −0.541118 | − | 0.240921i | ||||
\(487\) | −22.2856 | + | 9.92219i | −1.00986 | + | 0.449618i | −0.843891 | − | 0.536514i | \(-0.819741\pi\) |
−0.165966 | + | 0.986131i | \(0.553074\pi\) | |||||||
\(488\) | −13.9304 | − | 3.99447i | −0.630598 | − | 0.180821i | ||||
\(489\) | 19.6334 | + | 18.9597i | 0.887853 | + | 0.857389i | ||||
\(490\) | −9.49472 | − | 5.38332i | −0.428928 | − | 0.243194i | ||||
\(491\) | 0.0529271 | + | 0.0784677i | 0.00238857 | + | 0.00354120i | 0.830230 | − | 0.557421i | \(-0.188209\pi\) |
−0.827841 | + | 0.560962i | \(0.810431\pi\) | |||||||
\(492\) | 10.4919 | + | 6.55610i | 0.473014 | + | 0.295572i | ||||
\(493\) | 8.56040 | 0.385541 | ||||||||
\(494\) | 11.1813 | − | 1.19365i | 0.503070 | − | 0.0537050i | ||||
\(495\) | 13.7171 | − | 9.40904i | 0.616538 | − | 0.422905i | ||||
\(496\) | 2.35730 | + | 5.83452i | 0.105846 | + | 0.261978i | ||||
\(497\) | −4.91880 | + | 6.29578i | −0.220638 | + | 0.282404i | ||||
\(498\) | −3.35211 | − | 6.87284i | −0.150212 | − | 0.307979i | ||||
\(499\) | 4.90413 | + | 27.8127i | 0.219539 | + | 1.24507i | 0.872854 | + | 0.487981i | \(0.162266\pi\) |
−0.653316 | + | 0.757086i | \(0.726622\pi\) | |||||||
\(500\) | −11.3626 | + | 3.11758i | −0.508152 | + | 0.139422i | ||||
\(501\) | 8.57182 | − | 14.8468i | 0.382961 | − | 0.663307i | ||||
\(502\) | −19.1451 | − | 8.52395i | −0.854488 | − | 0.380442i | ||||
\(503\) | −23.1930 | + | 14.4926i | −1.03412 | + | 0.646192i | −0.937090 | − | 0.349089i | \(-0.886491\pi\) |
−0.0970342 | + | 0.995281i | \(0.530936\pi\) | |||||||
\(504\) | 12.6314 | − | 7.89300i | 0.562649 | − | 0.351582i | ||||
\(505\) | −5.15760 | − | 2.46584i | −0.229510 | − | 0.109728i | ||||
\(506\) | −5.75380 | − | 1.22301i | −0.255787 | − | 0.0543693i | ||||
\(507\) | 6.98790 | − | 2.54339i | 0.310343 | − | 0.112956i | ||||
\(508\) | 10.1194 | − | 5.38060i | 0.448977 | − | 0.238725i | ||||
\(509\) | −6.47219 | + | 6.25012i | −0.286875 | + | 0.277032i | −0.824146 | − | 0.566378i | \(-0.808344\pi\) |
0.537271 | + | 0.843410i | \(0.319455\pi\) | |||||||
\(510\) | −1.90022 | + | 2.30087i | −0.0841434 | + | 0.101884i | ||||
\(511\) | 5.79684 | − | 23.2499i | 0.256437 | − | 1.02851i | ||||
\(512\) | −7.03293 | − | 5.10973i | −0.310815 | − | 0.225820i | ||||
\(513\) | −5.06122 | − | 23.6216i | −0.223458 | − | 1.04292i | ||||
\(514\) | 10.8151 | − | 7.85766i | 0.477035 | − | 0.346586i | ||||
\(515\) | −6.65587 | − | 4.41418i | −0.293292 | − | 0.194512i | ||||
\(516\) | −4.81155 | − | 7.13341i | −0.211817 | − | 0.314031i | ||||
\(517\) | 33.0895 | − | 4.65042i | 1.45527 | − | 0.204525i | ||||
\(518\) | −3.30151 | − | 18.7238i | −0.145060 | − | 0.822676i | ||||
\(519\) | 15.7118 | + | 20.1102i | 0.689672 | + | 0.882740i | ||||
\(520\) | 17.1256 | + | 4.12806i | 0.751007 | + | 0.181028i | ||||
\(521\) | −12.7433 | + | 2.70868i | −0.558296 | + | 0.118669i | −0.478413 | − | 0.878135i | \(-0.658788\pi\) |
−0.0798827 | + | 0.996804i | \(0.525455\pi\) | |||||||
\(522\) | 9.27892 | − | 5.79811i | 0.406127 | − | 0.253777i | ||||
\(523\) | −11.2461 | − | 0.786403i | −0.491757 | − | 0.0343870i | −0.178274 | − | 0.983981i | \(-0.557051\pi\) |
−0.313483 | + | 0.949594i | \(0.601496\pi\) | |||||||
\(524\) | −5.15157 | − | 8.92277i | −0.225047 | − | 0.389793i | ||||
\(525\) | −20.1844 | + | 7.70574i | −0.880920 | + | 0.336306i | ||||
\(526\) | −8.43771 | + | 3.07107i | −0.367902 | + | 0.133905i | ||||
\(527\) | −6.37444 | − | 6.15573i | −0.277675 | − | 0.268148i | ||||
\(528\) | −4.42427 | − | 2.35243i | −0.192542 | − | 0.102376i | ||||
\(529\) | 13.3090 | − | 17.0347i | 0.578652 | − | 0.740641i | ||||
\(530\) | 2.30203 | − | 0.0983992i | 0.0999937 | − | 0.00427419i | ||||
\(531\) | −3.04220 | − | 9.36294i | −0.132020 | − | 0.406317i | ||||
\(532\) | 14.7752 | + | 5.94152i | 0.640584 | + | 0.257598i | ||||
\(533\) | −7.71901 | − | 23.7567i | −0.334347 | − | 1.02902i | ||||
\(534\) | −5.38911 | + | 0.376844i | −0.233210 | + | 0.0163076i | ||||
\(535\) | 32.7597 | − | 8.44027i | 1.41633 | − | 0.364905i | ||||
\(536\) | −6.79254 | − | 13.9268i | −0.293393 | − | 0.601545i | ||||
\(537\) | −5.15531 | + | 10.5699i | −0.222468 | + | 0.456127i | ||||
\(538\) | 16.2379 | + | 4.65613i | 0.700064 | + | 0.200740i | ||||
\(539\) | 2.69779 | + | 25.6677i | 0.116202 | + | 1.10559i | ||||
\(540\) | 1.71653 | − | 12.9468i | 0.0738678 | − | 0.557143i | ||||
\(541\) | −5.23207 | − | 20.9847i | −0.224944 | − | 0.902202i | −0.971531 | − | 0.236914i | \(-0.923864\pi\) |
0.746586 | − | 0.665288i | \(-0.231691\pi\) | |||||||
\(542\) | 3.22772 | − | 7.98889i | 0.138642 | − | 0.343152i | ||||
\(543\) | 0.825638 | + | 1.43005i | 0.0354315 | + | 0.0613692i | ||||
\(544\) | 5.57788 | + | 1.18561i | 0.239150 | + | 0.0508328i | ||||
\(545\) | −18.3343 | + | 6.11594i | −0.785357 | + | 0.261978i | ||||
\(546\) | 11.0387 | + | 1.55139i | 0.472414 | + | 0.0663934i | ||||
\(547\) | 30.2238 | + | 16.0703i | 1.29228 | + | 0.687115i | 0.966094 | − | 0.258192i | \(-0.0831266\pi\) |
0.326182 | + | 0.945307i | \(0.394238\pi\) | |||||||
\(548\) | −10.8645 | + | 3.11534i | −0.464108 | + | 0.133081i | ||||
\(549\) | 5.40548 | − | 4.53574i | 0.230700 | − | 0.193581i | ||||
\(550\) | −19.4102 | − | 15.7769i | −0.827654 | − | 0.672731i | ||||
\(551\) | 31.4516 | + | 12.6476i | 1.33988 | + | 0.538805i | ||||
\(552\) | −3.52211 | + | 2.55896i | −0.149911 | + | 0.108917i | ||||
\(553\) | 5.48068 | + | 13.5652i | 0.233062 | + | 0.576849i | ||||
\(554\) | −1.84583 | + | 2.36256i | −0.0784220 | + | 0.100376i | ||||
\(555\) | −13.6701 | − | 7.75071i | −0.580265 | − | 0.328999i | ||||
\(556\) | −16.8043 | + | 8.93502i | −0.712663 | + | 0.378929i | ||||
\(557\) | −1.61339 | + | 0.587227i | −0.0683617 | + | 0.0248816i | −0.375975 | − | 0.926630i | \(-0.622692\pi\) |
0.307613 | + | 0.951512i | \(0.400470\pi\) | |||||||
\(558\) | −11.0789 | − | 2.35489i | −0.469006 | − | 0.0996903i | ||||
\(559\) | −1.81594 | + | 17.2775i | −0.0768060 | + | 0.730761i | ||||
\(560\) | −4.53440 | − | 4.01910i | −0.191614 | − | 0.169838i | ||||
\(561\) | 7.03909 | + | 0.492221i | 0.297191 | + | 0.0207816i | ||||
\(562\) | −0.282229 | + | 2.68523i | −0.0119051 | + | 0.113270i | ||||
\(563\) | 4.37065 | − | 1.94594i | 0.184201 | − | 0.0820114i | −0.312564 | − | 0.949897i | \(-0.601188\pi\) |
0.496765 | + | 0.867885i | \(0.334521\pi\) | |||||||
\(564\) | 4.77231 | − | 7.07524i | 0.200950 | − | 0.297921i | ||||
\(565\) | −3.57622 | − | 24.0797i | −0.150453 | − | 1.01304i | ||||
\(566\) | 18.6201 | − | 17.9812i | 0.782661 | − | 0.755807i | ||||
\(567\) | 0.310789 | − | 8.89982i | 0.0130519 | − | 0.373757i | ||||
\(568\) | −5.24419 | + | 4.40039i | −0.220041 | + | 0.184636i | ||||
\(569\) | 3.68570 | + | 11.3434i | 0.154513 | + | 0.475541i | 0.998111 | − | 0.0614336i | \(-0.0195672\pi\) |
−0.843599 | + | 0.536974i | \(0.819567\pi\) | |||||||
\(570\) | −10.3810 | + | 5.64606i | −0.434812 | + | 0.236488i | ||||
\(571\) | −9.93584 | + | 30.5794i | −0.415802 | + | 1.27971i | 0.495730 | + | 0.868477i | \(0.334901\pi\) |
−0.911532 | + | 0.411230i | \(0.865099\pi\) | |||||||
\(572\) | −5.38496 | − | 13.3282i | −0.225157 | − | 0.557282i | ||||
\(573\) | −23.6348 | + | 6.77716i | −0.987357 | + | 0.283120i | ||||
\(574\) | −5.51503 | + | 31.2773i | −0.230193 | + | 1.30549i | ||||
\(575\) | −5.33290 | + | 2.47491i | −0.222397 | + | 0.103211i | ||||
\(576\) | 8.97387 | − | 3.26622i | 0.373911 | − | 0.136093i | ||||
\(577\) | −3.56825 | − | 33.9496i | −0.148548 | − | 1.41334i | −0.774053 | − | 0.633121i | \(-0.781774\pi\) |
0.625505 | − | 0.780220i | \(-0.284893\pi\) | |||||||
\(578\) | −15.0217 | + | 3.19296i | −0.624821 | + | 0.132810i | ||||
\(579\) | −2.90675 | + | 1.81634i | −0.120800 | + | 0.0754845i | ||||
\(580\) | 13.7147 | + | 12.1562i | 0.569473 | + | 0.504757i | ||||
\(581\) | −14.6305 | + | 16.2488i | −0.606975 | + | 0.674114i | ||||
\(582\) | 7.90398 | − | 13.6901i | 0.327630 | − | 0.567472i | ||||
\(583\) | −3.35438 | − | 4.29341i | −0.138924 | − | 0.177815i | ||||
\(584\) | 9.00047 | − | 18.4537i | 0.372442 | − | 0.763619i | ||||
\(585\) | −6.32942 | + | 5.78920i | −0.261689 | + | 0.239354i | ||||
\(586\) | −0.130228 | + | 0.0373423i | −0.00537967 | + | 0.00154260i | ||||
\(587\) | −17.1286 | + | 1.19775i | −0.706975 | + | 0.0494365i | −0.418718 | − | 0.908116i | \(-0.637520\pi\) |
−0.288257 | + | 0.957553i | \(0.593076\pi\) | |||||||
\(588\) | 5.33286 | + | 3.87455i | 0.219924 | + | 0.159784i | ||||
\(589\) | −14.3254 | − | 32.0346i | −0.590267 | − | 1.31996i | ||||
\(590\) | −12.2081 | + | 8.37397i | −0.502600 | + | 0.344751i | ||||
\(591\) | −14.2162 | + | 0.994095i | −0.584777 | + | 0.0408916i | ||||
\(592\) | 0.153807 | − | 4.40445i | 0.00632143 | − | 0.181022i | ||||
\(593\) | −5.65771 | + | 32.0865i | −0.232334 | + | 1.31763i | 0.615821 | + | 0.787886i | \(0.288825\pi\) |
−0.848155 | + | 0.529748i | \(0.822286\pi\) | |||||||
\(594\) | 24.4802 | − | 13.0164i | 1.00444 | − | 0.534068i | ||||
\(595\) | 8.13540 | + | 2.57327i | 0.333519 | + | 0.105494i | ||||
\(596\) | −16.9066 | − | 18.7767i | −0.692521 | − | 0.769123i | ||||
\(597\) | −14.5031 | + | 3.08272i | −0.593571 | + | 0.126167i | ||||
\(598\) | 3.02597 | + | 0.211596i | 0.123741 | + | 0.00865282i | ||||
\(599\) | 29.0442 | + | 24.3709i | 1.18671 | + | 0.995769i | 0.999911 | + | 0.0133717i | \(0.00425647\pi\) |
0.186801 | + | 0.982398i | \(0.440188\pi\) | |||||||
\(600\) | −18.2899 | + | 2.86255i | −0.746684 | + | 0.116863i | ||||
\(601\) | −23.9049 | + | 41.4046i | −0.975103 | + | 1.68893i | −0.295506 | + | 0.955341i | \(0.595488\pi\) |
−0.679596 | + | 0.733586i | \(0.737845\pi\) | |||||||
\(602\) | 12.3517 | − | 18.3122i | 0.503418 | − | 0.746348i | ||||
\(603\) | 7.47141 | + | 1.05004i | 0.304259 | + | 0.0427609i | ||||
\(604\) | −3.60592 | − | 1.91730i | −0.146723 | − | 0.0780139i | ||||
\(605\) | −2.14080 | + | 34.4841i | −0.0870359 | + | 1.40198i | ||||
\(606\) | −2.62865 | − | 1.64256i | −0.106781 | − | 0.0667244i | ||||
\(607\) | −46.5402 | −1.88901 | −0.944505 | − | 0.328498i | \(-0.893458\pi\) | ||||
−0.944505 | + | 0.328498i | \(0.893458\pi\) | |||||||
\(608\) | 18.7419 | + | 12.5971i | 0.760083 | + | 0.510880i | ||||
\(609\) | 27.1870 | + | 19.7525i | 1.10167 | + | 0.800414i | ||||
\(610\) | −8.84301 | − | 5.86470i | −0.358043 | − | 0.237455i | ||||
\(611\) | −16.5635 | + | 4.74951i | −0.670087 | + | 0.192144i | ||||
\(612\) | −1.20694 | + | 1.16552i | −0.0487875 | + | 0.0471135i | ||||
\(613\) | 20.4187 | − | 41.8645i | 0.824702 | − | 1.69089i | 0.107305 | − | 0.994226i | \(-0.465778\pi\) |
0.717397 | − | 0.696664i | \(-0.245333\pi\) | |||||||
\(614\) | 13.3452 | − | 19.7850i | 0.538567 | − | 0.798459i | ||||
\(615\) | 17.0300 | + | 19.9766i | 0.686717 | + | 0.805533i | ||||
\(616\) | −5.53612 | + | 52.6727i | −0.223057 | + | 2.12224i | ||||
\(617\) | 15.5826 | − | 38.5683i | 0.627331 | − | 1.55270i | −0.193237 | − | 0.981152i | \(-0.561899\pi\) |
0.820569 | − | 0.571548i | \(-0.193657\pi\) | |||||||
\(618\) | −3.31725 | − | 2.78350i | −0.133439 | − | 0.111969i | ||||
\(619\) | 13.2993 | − | 14.7703i | 0.534542 | − | 0.593669i | −0.414017 | − | 0.910269i | \(-0.635875\pi\) |
0.948559 | + | 0.316600i | \(0.102541\pi\) | |||||||
\(620\) | −1.47117 | − | 18.9142i | −0.0590837 | − | 0.759611i | ||||
\(621\) | −0.227429 | − | 6.51271i | −0.00912641 | − | 0.261346i | ||||
\(622\) | 31.1851 | + | 4.38278i | 1.25041 | + | 0.175734i | ||||
\(623\) | 6.77159 | + | 13.8838i | 0.271298 | + | 0.556243i | ||||
\(624\) | 2.42810 | + | 0.883755i | 0.0972017 | + | 0.0353785i | ||||
\(625\) | −24.9814 | − | 0.963892i | −0.999256 | − | 0.0385557i | ||||
\(626\) | 31.9835 | 1.27832 | ||||||||
\(627\) | 25.1349 | + | 12.2084i | 1.00379 | + | 0.487556i | ||||
\(628\) | −1.97231 | + | 6.07014i | −0.0787036 | + | 0.242225i | ||||
\(629\) | 2.32488 | + | 5.75429i | 0.0926992 | + | 0.229438i | ||||
\(630\) | 10.5612 | − | 2.72100i | 0.420767 | − | 0.108407i | ||||
\(631\) | 38.6166 | − | 5.42721i | 1.53730 | − | 0.216054i | 0.680906 | − | 0.732371i | \(-0.261586\pi\) |
0.856397 | + | 0.516317i | \(0.172697\pi\) | |||||||
\(632\) | 2.17689 | + | 12.3457i | 0.0865919 | + | 0.491087i | ||||
\(633\) | 2.87225 | + | 3.67632i | 0.114162 | + | 0.146121i | ||||
\(634\) | −6.23719 | + | 2.77698i | −0.247711 | + | 0.110288i | ||||
\(635\) | 23.9145 | − | 4.40967i | 0.949019 | − | 0.174993i | ||||
\(636\) | −1.38816 | − | 0.0970698i | −0.0550443 | − | 0.00384907i | ||||
\(637\) | −3.21975 | − | 12.9137i | −0.127571 | − | 0.511659i | ||||
\(638\) | −4.06678 | + | 38.6928i | −0.161005 | + | 1.53186i | ||||
\(639\) | −0.348432 | − | 3.31511i | −0.0137838 | − | 0.131144i | ||||
\(640\) | 5.23276 | + | 7.08521i | 0.206843 | + | 0.280068i | ||||
\(641\) | 14.7091 | − | 30.1582i | 0.580976 | − | 1.19118i | −0.382643 | − | 0.923896i | \(-0.624986\pi\) |
0.963619 | − | 0.267281i | \(-0.0861251\pi\) | |||||||
\(642\) | 18.1640 | − | 2.55278i | 0.716876 | − | 0.100750i | ||||
\(643\) | −15.3315 | − | 5.58022i | −0.604617 | − | 0.220063i | 0.0215293 | − | 0.999768i | \(-0.493146\pi\) |
−0.626146 | + | 0.779706i | \(0.715369\pi\) | |||||||
\(644\) | 3.64311 | + | 2.27647i | 0.143559 | + | 0.0897054i | ||||
\(645\) | −5.16919 | − | 17.5097i | −0.203537 | − | 0.689443i | ||||
\(646\) | 4.59737 | + | 0.802907i | 0.180881 | + | 0.0315900i | ||||
\(647\) | −10.2385 | + | 31.5109i | −0.402517 | + | 1.23882i | 0.520433 | + | 0.853902i | \(0.325771\pi\) |
−0.922950 | + | 0.384919i | \(0.874229\pi\) | |||||||
\(648\) | 1.84598 | − | 7.40384i | 0.0725171 | − | 0.290850i | ||||
\(649\) | 32.8951 | + | 11.9728i | 1.29124 | + | 0.469974i | ||||
\(650\) | 11.0442 | + | 6.66353i | 0.433188 | + | 0.261365i | ||||
\(651\) | −6.04072 | − | 34.2586i | −0.236754 | − | 1.34270i | ||||
\(652\) | 12.9043 | − | 19.1315i | 0.505373 | − | 0.749247i | ||||
\(653\) | 17.9974 | + | 19.9881i | 0.704293 | + | 0.782197i | 0.984053 | − | 0.177873i | \(-0.0569217\pi\) |
−0.279760 | + | 0.960070i | \(0.590255\pi\) | |||||||
\(654\) | −10.2505 | + | 2.17880i | −0.400825 | + | 0.0851979i | ||||
\(655\) | −4.71206 | − | 21.3471i | −0.184116 | − | 0.834101i | ||||
\(656\) | −2.75783 | + | 6.82587i | −0.107675 | + | 0.266505i | ||||
\(657\) | 4.99865 | + | 8.65791i | 0.195016 | + | 0.337777i | ||||
\(658\) | 21.4296 | + | 4.55499i | 0.835411 | + | 0.177572i | ||||
\(659\) | 20.0680 | + | 5.75439i | 0.781736 | + | 0.224159i | 0.642690 | − | 0.766127i | \(-0.277818\pi\) |
0.139047 | + | 0.990286i | \(0.455596\pi\) | |||||||
\(660\) | 10.5784 | + | 10.7844i | 0.411765 | + | 0.419783i | ||||
\(661\) | 5.79974 | + | 11.8912i | 0.225584 | + | 0.462515i | 0.981325 | − | 0.192355i | \(-0.0616124\pi\) |
−0.755742 | + | 0.654870i | \(0.772723\pi\) | |||||||
\(662\) | 15.2649 | + | 22.6311i | 0.593287 | + | 0.879584i | ||||
\(663\) | −3.62986 | + | 0.253825i | −0.140972 | + | 0.00985773i | ||||
\(664\) | −15.1570 | + | 11.0122i | −0.588205 | + | 0.427356i | ||||
\(665\) | 26.0882 | + | 21.4740i | 1.01166 | + | 0.832728i | ||||
\(666\) | 6.41751 | + | 4.66259i | 0.248673 | + | 0.180672i | ||||
\(667\) | 7.75501 | + | 4.84587i | 0.300275 | + | 0.187633i | ||||
\(668\) | −13.6208 | − | 4.95756i | −0.527004 | − | 0.191814i | ||||
\(669\) | −6.77883 | + | 0.952702i | −0.262085 | + | 0.0368336i | ||||
\(670\) | −1.66672 | − | 11.2225i | −0.0643909 | − | 0.433562i | ||||
\(671\) | 0.875666 | + | 25.0758i | 0.0338047 | + | 0.968040i | ||||
\(672\) | 14.9791 | + | 16.6360i | 0.577832 | + | 0.641747i | ||||
\(673\) | 35.9314 | + | 15.9977i | 1.38505 | + | 0.616666i | 0.957792 | − | 0.287461i | \(-0.0928113\pi\) |
0.427263 | + | 0.904128i | \(0.359478\pi\) | |||||||
\(674\) | −10.8069 | − | 9.06809i | −0.416267 | − | 0.349290i | ||||
\(675\) | 11.7570 | − | 25.0930i | 0.452527 | − | 0.965831i | ||||
\(676\) | −3.14372 | − | 5.44508i | −0.120912 | − | 0.209426i | ||||
\(677\) | −1.35048 | − | 12.8490i | −0.0519033 | − | 0.493827i | −0.989335 | − | 0.145658i | \(-0.953470\pi\) |
0.937432 | − | 0.348169i | \(-0.113196\pi\) | |||||||
\(678\) | −0.460649 | − | 13.1913i | −0.0176911 | − | 0.506607i | ||||
\(679\) | −44.7611 | − | 6.29076i | −1.71777 | − | 0.241417i | ||||
\(680\) | 6.36009 | + | 3.60605i | 0.243898 | + | 0.138286i | ||||
\(681\) | −0.689895 | + | 19.7560i | −0.0264368 | + | 0.757052i | ||||
\(682\) | 30.8520 | − | 25.8879i | 1.18139 | − | 0.991300i | ||||
\(683\) | 9.76055 | + | 30.0399i | 0.373477 | + | 1.14944i | 0.944500 | + | 0.328510i | \(0.106547\pi\) |
−0.571023 | + | 0.820934i | \(0.693453\pi\) | |||||||
\(684\) | −6.15638 | + | 2.49904i | −0.235395 | + | 0.0955530i | ||||
\(685\) | −23.9723 | − | 0.649678i | −0.915933 | − | 0.0248229i | ||||
\(686\) | 1.61671 | − | 6.48426i | 0.0617262 | − | 0.247570i | ||||
\(687\) | −13.4061 | − | 19.8754i | −0.511474 | − | 0.758292i | ||||
\(688\) | 3.68310 | − | 3.55673i | 0.140417 | − | 0.135599i | ||||
\(689\) | 2.02105 | + | 1.95171i | 0.0769959 | + | 0.0743541i | ||||
\(690\) | −3.02392 | + | 1.00871i | −0.115119 | + | 0.0384011i | ||||
\(691\) | 2.68948 | − | 1.19743i | 0.102313 | − | 0.0455525i | −0.354942 | − | 0.934888i | \(-0.615499\pi\) |
0.457255 | + | 0.889336i | \(0.348833\pi\) | |||||||
\(692\) | 14.4380 | − | 16.0351i | 0.548852 | − | 0.609562i | ||||
\(693\) | −19.7553 | − | 16.5767i | −0.750443 | − | 0.629697i | ||||
\(694\) | 9.12535 | − | 22.5860i | 0.346393 | − | 0.857354i | ||||
\(695\) | −39.7125 | + | 7.32271i | −1.50638 | + | 0.277766i | ||||
\(696\) | 19.2674 | + | 21.3986i | 0.730327 | + | 0.811111i | ||||
\(697\) | −0.361810 | − | 10.3609i | −0.0137045 | − | 0.392446i | ||||
\(698\) | −21.3106 | − | 20.5794i | −0.806618 | − | 0.778942i | ||||
\(699\) | 4.26918 | − | 24.2117i | 0.161475 | − | 0.915771i | ||||
\(700\) | 9.37968 | + | 15.6753i | 0.354519 | + | 0.592471i | ||||
\(701\) | 24.8144 | − | 20.8217i | 0.937226 | − | 0.786426i | −0.0398747 | − | 0.999205i | \(-0.512696\pi\) |
0.977100 | + | 0.212779i | \(0.0682514\pi\) | |||||||
\(702\) | −11.5668 | + | 8.40374i | −0.436559 | + | 0.317179i | ||||
\(703\) | 0.0401086 | + | 24.5766i | 0.00151273 | + | 0.926924i | ||||
\(704\) | −10.4934 | + | 32.2953i | −0.395484 | + | 1.21717i | ||||
\(705\) | 14.1817 | − | 11.2595i | 0.534113 | − | 0.424056i | ||||
\(706\) | 0.0176666 | − | 0.505907i | 0.000664893 | − | 0.0190400i | ||||
\(707\) | −1.53905 | + | 8.72841i | −0.0578821 | + | 0.328266i | ||||
\(708\) | 7.89423 | − | 4.19744i | 0.296683 | − | 0.157749i | ||||
\(709\) | −0.979517 | − | 0.280872i | −0.0367865 | − | 0.0105484i | 0.257194 | − | 0.966360i | \(-0.417202\pi\) |
−0.293980 | + | 0.955812i | \(0.594980\pi\) | |||||||
\(710\) | −4.63275 | + | 1.91399i | −0.173864 | + | 0.0718307i | ||||
\(711\) | −5.57642 | − | 2.48278i | −0.209132 | − | 0.0931116i | ||||
\(712\) | 3.20207 | + | 12.8428i | 0.120003 | + | 0.481304i | ||||
\(713\) | −2.29008 | − | 9.18502i | −0.0857643 | − | 0.343982i | ||||
\(714\) | 4.22647 | + | 1.88175i | 0.158172 | + | 0.0704226i | ||||
\(715\) | −2.36524 | − | 30.4087i | −0.0884548 | − | 1.13722i | ||||
\(716\) | 9.55801 | + | 2.74072i | 0.357200 | + | 0.102425i | ||||
\(717\) | −30.0581 | + | 15.9822i | −1.12254 | + | 0.596865i | ||||
\(718\) | −2.45951 | + | 13.9486i | −0.0917881 | + | 0.520556i | ||||
\(719\) | 0.00452713 | − | 0.129640i | 0.000168833 | − | 0.00483476i | −0.999303 | − | 0.0373168i | \(-0.988119\pi\) |
0.999472 | + | 0.0324820i | \(0.0103412\pi\) | |||||||
\(720\) | 2.52572 | − | 0.107961i | 0.0941281 | − | 0.00402347i | ||||
\(721\) | −3.82629 | + | 11.7761i | −0.142499 | + | 0.438566i | ||||
\(722\) | 15.7048 | + | 9.74235i | 0.584474 | + | 0.362573i | ||||
\(723\) | −11.6781 | + | 8.48467i | −0.434315 | + | 0.315548i | ||||
\(724\) | 1.06951 | − | 0.897429i | 0.0397482 | − | 0.0333527i | ||||
\(725\) | 19.9663 | + | 33.3677i | 0.741531 | + | 1.23924i | ||||
\(726\) | −3.25303 | + | 18.4488i | −0.120731 | + | 0.684700i | ||||
\(727\) | −28.8969 | − | 27.9054i | −1.07173 | − | 1.03495i | −0.999294 | − | 0.0375800i | \(-0.988035\pi\) |
−0.0724319 | − | 0.997373i | \(-0.523076\pi\) | |||||||
\(728\) | −0.953156 | − | 27.2948i | −0.0353263 | − | 1.01161i | ||||
\(729\) | 16.3531 | + | 18.1619i | 0.605670 | + | 0.672665i | ||||
\(730\) | 10.3583 | − | 10.8954i | 0.383378 | − | 0.403257i | ||||
\(731\) | −2.70100 | + | 6.68520i | −0.0998999 | + | 0.247261i | ||||
\(732\) | 4.90912 | + | 4.11924i | 0.181446 | + | 0.152251i | ||||
\(733\) | 5.33494 | − | 5.92505i | 0.197050 | − | 0.218847i | −0.636519 | − | 0.771261i | \(-0.719627\pi\) |
0.833570 | + | 0.552414i | \(0.186293\pi\) | |||||||
\(734\) | 3.95659 | − | 1.76159i | 0.146040 | − | 0.0650214i | ||||
\(735\) | 8.30910 | + | 11.2506i | 0.306486 | + | 0.414985i | ||||
\(736\) | 4.38194 | + | 4.23159i | 0.161521 | + | 0.155979i | ||||
\(737\) | −19.2985 | + | 18.6363i | −0.710868 | + | 0.686477i | ||||
\(738\) | −7.40978 | − | 10.9855i | −0.272758 | − | 0.404380i | ||||
\(739\) | −4.00320 | + | 16.0560i | −0.147260 | + | 0.590628i | 0.850634 | + | 0.525759i | \(0.176219\pi\) |
−0.997894 | + | 0.0648693i | \(0.979337\pi\) | |||||||
\(740\) | −4.44662 | + | 12.5205i | −0.163461 | + | 0.460261i | ||||
\(741\) | −13.7114 | − | 4.43038i | −0.503701 | − | 0.162754i | ||||
\(742\) | −1.10389 | − | 3.39741i | −0.0405249 | − | 0.124723i | ||||
\(743\) | 23.3459 | − | 19.5895i | 0.856477 | − | 0.718670i | −0.104729 | − | 0.994501i | \(-0.533397\pi\) |
0.961206 | + | 0.275831i | \(0.0889530\pi\) | |||||||
\(744\) | 1.04027 | − | 29.7893i | 0.0381380 | − | 1.09213i | ||||
\(745\) | −22.1871 | − | 48.8034i | −0.812873 | − | 1.78802i | ||||
\(746\) | 13.9618 | + | 1.96220i | 0.511178 | + | 0.0718414i | ||||
\(747\) | −0.318371 | − | 9.11695i | −0.0116486 | − | 0.333572i | ||||
\(748\) | −0.623625 | − | 5.93340i | −0.0228020 | − | 0.216946i | ||||
\(749\) | −26.2241 | − | 45.4215i | −0.958208 | − | 1.65966i | ||||
\(750\) | −13.4007 | − | 2.04035i | −0.489323 | − | 0.0745031i | ||||
\(751\) | 11.2893 | + | 9.47286i | 0.411953 | + | 0.345669i | 0.825092 | − | 0.564998i | \(-0.191123\pi\) |
−0.413139 | + | 0.910668i | \(0.635568\pi\) | |||||||
\(752\) | 4.63931 | + | 2.06555i | 0.169178 | + | 0.0753230i | ||||
\(753\) | 17.9693 | + | 19.9570i | 0.654839 | + | 0.727272i | ||||
\(754\) | −0.700178 | − | 20.0505i | −0.0254990 | − | 0.730195i | ||||
\(755\) | −6.06791 | − | 6.18606i | −0.220834 | − | 0.225134i | ||||
\(756\) | −20.0510 | + | 2.81798i | −0.729246 | + | 0.102489i | ||||
\(757\) | 21.4164 | + | 7.79494i | 0.778393 | + | 0.283312i | 0.700502 | − | 0.713650i | \(-0.252959\pi\) |
0.0778907 | + | 0.996962i | \(0.475181\pi\) | |||||||
\(758\) | −10.5814 | − | 6.61200i | −0.384334 | − | 0.240159i | ||||
\(759\) | 6.09820 | + | 4.43060i | 0.221351 | + | 0.160821i | ||||
\(760\) | 18.0397 | + | 22.6456i | 0.654369 | + | 0.821444i | ||||
\(761\) | 39.2499 | − | 28.5167i | 1.42281 | − | 1.03373i | 0.431509 | − | 0.902109i | \(-0.357981\pi\) |
0.991300 | − | 0.131623i | \(-0.0420187\pi\) | |||||||
\(762\) | 13.1530 | − | 0.919749i | 0.476484 | − | 0.0333190i | ||||
\(763\) | 16.7561 | + | 24.8419i | 0.606611 | + | 0.899337i | ||||
\(764\) | 9.11308 | + | 18.6846i | 0.329700 | + | 0.675984i | ||||
\(765\) | −3.18743 | + | 1.58555i | −0.115242 | + | 0.0573258i | ||||
\(766\) | 20.8907 | + | 5.99031i | 0.754811 | + | 0.216439i | ||||
\(767\) | −17.6572 | − | 3.75316i | −0.637566 | − | 0.135519i | ||||
\(768\) | 10.6175 | + | 18.3900i | 0.383126 | + | 0.663593i | ||||
\(769\) | −13.7252 | + | 33.9711i | −0.494944 | + | 1.22503i | 0.448586 | + | 0.893740i | \(0.351928\pi\) |
−0.943529 | + | 0.331289i | \(0.892517\pi\) | |||||||
\(770\) | −15.4960 | + | 35.5493i | −0.558436 | + | 1.28111i | ||||
\(771\) | −16.7561 | + | 3.56161i | −0.603455 | + | 0.128268i | ||||
\(772\) | 1.93915 | + | 2.15365i | 0.0697916 | + | 0.0775114i | ||||
\(773\) | 4.16102 | − | 6.16897i | 0.149662 | − | 0.221882i | −0.746750 | − | 0.665105i | \(-0.768387\pi\) |
0.896412 | + | 0.443222i | \(0.146165\pi\) | |||||||
\(774\) | 1.60030 | + | 9.07576i | 0.0575216 | + | 0.326221i | ||||
\(775\) | 9.12668 | − | 39.2047i | 0.327840 | − | 1.40827i | ||||
\(776\) | −36.3949 | − | 13.2467i | −1.30650 | − | 0.475527i | ||||
\(777\) | −5.89402 | + | 23.6396i | −0.211447 | + | 0.848066i | ||||
\(778\) | 6.63039 | − | 20.4062i | 0.237711 | − | 0.731599i | ||||
\(779\) | 13.9784 | − | 38.6012i | 0.500828 | − | 1.38303i | ||||
\(780\) | −6.17589 | − | 4.74791i | −0.221132 | − | 0.170002i | ||||
\(781\) | 10.0518 | + | 6.28105i | 0.359681 | + | 0.224754i | ||||
\(782\) | 1.18302 | + | 0.430583i | 0.0423046 | + | 0.0153976i | ||||
\(783\) | −42.6820 | + | 5.99857i | −1.52533 | + | 0.214371i | ||||
\(784\) | −1.71950 | + | 3.52549i | −0.0614106 | + | 0.125910i | ||||
\(785\) | −7.87415 | + | 11.0178i | −0.281040 | + | 0.393243i | ||||
\(786\) | −1.23899 | − | 11.7882i | −0.0441933 | − | 0.420471i | ||||
\(787\) | 3.45177 | − | 32.8414i | 0.123042 | − | 1.17067i | −0.742504 | − | 0.669842i | \(-0.766362\pi\) |
0.865546 | − | 0.500829i | \(-0.166971\pi\) | |||||||
\(788\) | 2.91496 | + | 11.6912i | 0.103841 | + | 0.416483i | ||||
\(789\) | 11.4782 | + | 0.802633i | 0.408634 | + | 0.0285745i | ||||
\(790\) | −1.20644 | + | 9.09950i | −0.0429232 | + | 0.323746i | ||||
\(791\) | −34.4789 | + | 15.3510i | −1.22593 | + | 0.545818i | ||||
\(792\) | −13.6044 | − | 17.4128i | −0.483411 | − | 0.618738i | ||||
\(793\) | −2.24679 | − | 12.7422i | −0.0797860 | − | 0.452489i | ||||
\(794\) | −3.80298 | + | 0.534474i | −0.134963 | + | 0.0189678i | ||||
\(795\) | −2.74614 | − | 1.08463i | −0.0973954 | − | 0.0384680i | ||||
\(796\) | 4.69617 | + | 11.6234i | 0.166451 | + | 0.411982i | ||||
\(797\) | −1.18629 | + | 3.65103i | −0.0420206 | + | 0.129326i | −0.969866 | − | 0.243639i | \(-0.921659\pi\) |
0.927845 | + | 0.372965i | \(0.121659\pi\) | |||||||
\(798\) | 12.7482 | + | 13.1581i | 0.451281 | + | 0.465791i | ||||
\(799\) | −7.15142 | −0.252999 | ||||||||
\(800\) | 8.38846 | + | 24.5074i | 0.296577 | + | 0.866468i | ||||
\(801\) | −6.05621 | − | 2.20428i | −0.213985 | − | 0.0778843i | ||||
\(802\) | 8.66322 | + | 17.7622i | 0.305909 | + | 0.627206i | ||||
\(803\) | −35.2026 | − | 4.94740i | −1.24227 | − | 0.174590i | ||||
\(804\) | 0.239132 | + | 6.84785i | 0.00843354 | + | 0.241505i | ||||
\(805\) | 5.91333 | + | 6.93645i | 0.208417 | + | 0.244478i | ||||
\(806\) | −13.8968 | + | 15.4339i | −0.489493 | + | 0.543637i | ||||
\(807\) | −16.5819 | − | 13.9139i | −0.583712 | − | 0.489792i | ||||
\(808\) | −2.84489 | + | 7.04135i | −0.100083 | + | 0.247714i | ||||
\(809\) | 0.983435 | − | 9.35676i | 0.0345757 | − | 0.328966i | −0.963538 | − | 0.267572i | \(-0.913779\pi\) |
0.998114 | − | 0.0613941i | \(-0.0195547\pi\) | |||||||
\(810\) | 2.92362 | − | 4.76113i | 0.102726 | − | 0.167289i | ||||
\(811\) | 9.88741 | − | 14.6587i | 0.347194 | − | 0.514736i | −0.614480 | − | 0.788933i | \(-0.710634\pi\) |
0.961674 | + | 0.274196i | \(0.0884118\pi\) | |||||||
\(812\) | 12.4555 | − | 25.5375i | 0.437101 | − | 0.896190i | ||||
\(813\) | −7.94234 | + | 7.66982i | −0.278550 | + | 0.268993i | ||||
\(814\) | −27.1137 | + | 7.77474i | −0.950336 | + | 0.272504i | ||||
\(815\) | 38.3474 | − | 30.4456i | 1.34325 | − | 1.06646i | ||||
\(816\) | 0.867600 | + | 0.630348i | 0.0303721 | + | 0.0220666i | ||||
\(817\) | −19.8007 | + | 20.5713i | −0.692740 | + | 0.719700i | ||||
\(818\) | −31.5937 | −1.10465 | ||||||||
\(819\) | 11.2778 | + | 7.04715i | 0.394078 | + | 0.246247i | ||||
\(820\) | 14.1332 | − | 17.1131i | 0.493554 | − | 0.597615i | ||||
\(821\) | 46.7776 | + | 24.8721i | 1.63255 | + | 0.868042i | 0.995242 | + | 0.0974327i | \(0.0310631\pi\) |
0.637308 | + | 0.770609i | \(0.280048\pi\) | |||||||
\(822\) | −12.8761 | − | 1.80962i | −0.449105 | − | 0.0631176i | ||||
\(823\) | 30.4382 | − | 45.1265i | 1.06101 | − | 1.57301i | 0.268376 | − | 0.963314i | \(-0.413513\pi\) |
0.792634 | − | 0.609698i | \(-0.208709\pi\) | |||||||
\(824\) | −5.30485 | + | 9.18826i | −0.184803 | + | 0.320088i | ||||
\(825\) | 14.4994 | + | 28.5858i | 0.504804 | + | 0.995230i | ||||
\(826\) | 17.5821 | + | 14.7531i | 0.611759 | + | 0.513327i | ||||
\(827\) | 14.2431 | + | 0.995973i | 0.495280 | + | 0.0346334i | 0.315213 | − | 0.949021i | \(-0.397924\pi\) |
0.180067 | + | 0.983654i | \(0.442368\pi\) | |||||||
\(828\) | −1.75316 | + | 0.372647i | −0.0609267 | + | 0.0129504i | ||||
\(829\) | −13.1325 | − | 14.5851i | −0.456109 | − | 0.506560i | 0.470597 | − | 0.882348i | \(-0.344039\pi\) |
−0.926706 | + | 0.375788i | \(0.877372\pi\) | |||||||
\(830\) | −13.0131 | + | 4.34088i | −0.451690 | + | 0.150674i | ||||
\(831\) | 3.39218 | − | 1.80366i | 0.117673 | − | 0.0625681i | ||||
\(832\) | 3.04072 | − | 17.2448i | 0.105418 | − | 0.597856i | ||||
\(833\) | 0.192774 | − | 5.52031i | 0.00667921 | − | 0.191267i | ||||
\(834\) | −21.8419 | + | 1.52734i | −0.756324 | + | 0.0528873i | ||||
\(835\) | −24.3825 | − | 18.7448i | −0.843793 | − | 0.648692i | ||||
\(836\) | 6.47507 | − | 22.7211i | 0.223945 | − | 0.785827i | ||||
\(837\) | 36.0964 | + | 26.2256i | 1.24767 | + | 0.906489i | ||||
\(838\) | −10.0809 | + | 0.704924i | −0.348238 | + | 0.0243512i | ||||
\(839\) | 31.6978 | − | 9.08920i | 1.09433 | − | 0.313794i | 0.320539 | − | 0.947235i | \(-0.396136\pi\) |
0.773791 | + | 0.633441i | \(0.218358\pi\) | |||||||
\(840\) | 11.8784 | + | 26.1280i | 0.409842 | + | 0.901501i | ||||
\(841\) | 13.8009 | − | 28.2960i | 0.475893 | − | 0.975726i | ||||
\(842\) | −6.03338 | − | 7.72237i | −0.207924 | − | 0.266131i | ||||
\(843\) | 1.72994 | − | 2.99634i | 0.0595823 | − | 0.103200i | ||||
\(844\) | 2.63940 | − | 2.93135i | 0.0908519 | − | 0.100901i | ||||
\(845\) | −2.87552 | − | 13.0270i | −0.0989208 | − | 0.448142i | ||||
\(846\) | −7.75167 | + | 4.84378i | −0.266508 | + | 0.166533i | ||||
\(847\) | 52.3955 | − | 11.1370i | 1.80033 | − | 0.382672i | ||||
\(848\) | −0.0865547 | − | 0.823513i | −0.00297230 | − | 0.0282796i | ||||
\(849\) | −31.1693 | + | 11.3447i | −1.06973 | + | 0.389349i | ||||
\(850\) | 3.64382 | + | 3.92188i | 0.124982 | + | 0.134519i | ||||
\(851\) | −1.15124 | + | 6.52898i | −0.0394638 | + | 0.223811i | ||||
\(852\) | 2.91001 | − | 0.834431i | 0.0996952 | − | 0.0285871i | ||||
\(853\) | −4.72895 | − | 11.7046i | −0.161916 | − | 0.400757i | 0.824314 | − | 0.566132i | \(-0.191561\pi\) |
−0.986231 | + | 0.165375i | \(0.947116\pi\) | |||||||
\(854\) | −5.08363 | + | 15.6458i | −0.173958 | + | 0.535388i | ||||
\(855\) | −14.0534 | + | 1.11617i | −0.480617 | + | 0.0381723i | ||||
\(856\) | −13.8874 | − | 42.7409i | −0.474660 | − | 1.46085i | ||||
\(857\) | 3.30450 | − | 2.77280i | 0.112879 | − | 0.0947171i | −0.584601 | − | 0.811321i | \(-0.698749\pi\) |
0.697480 | + | 0.716604i | \(0.254304\pi\) | |||||||
\(858\) | 0.577152 | − | 16.5275i | 0.0197036 | − | 0.564239i | ||||
\(859\) | −5.36438 | + | 5.18032i | −0.183030 | + | 0.176750i | −0.780529 | − | 0.625120i | \(-0.785050\pi\) |
0.597499 | + | 0.801870i | \(0.296161\pi\) | |||||||
\(860\) | −13.8206 | + | 6.87491i | −0.471278 | + | 0.234433i | ||||
\(861\) | 22.7579 | − | 33.7400i | 0.775589 | − | 1.14986i | ||||
\(862\) | −24.7484 | + | 11.0187i | −0.842933 | + | 0.375298i | ||||
\(863\) | 2.78439 | − | 26.4917i | 0.0947818 | − | 0.901789i | −0.839045 | − | 0.544063i | \(-0.816885\pi\) |
0.933826 | − | 0.357726i | \(-0.116448\pi\) | |||||||
\(864\) | −28.6420 | − | 2.00285i | −0.974422 | − | 0.0681382i | ||||
\(865\) | 39.4687 | − | 23.2002i | 1.34198 | − | 0.788831i | ||||
\(866\) | 0.0393338 | − | 0.374236i | 0.00133662 | − | 0.0127171i | ||||
\(867\) | 19.2492 | + | 4.09155i | 0.653738 | + | 0.138956i | ||||
\(868\) | −27.6387 | + | 10.0597i | −0.938118 | + | 0.341447i | ||||
\(869\) | 19.1646 | − | 10.1900i | 0.650113 | − | 0.345671i | ||||
\(870\) | 8.72571 | + | 19.1933i | 0.295829 | + | 0.650715i | ||||
\(871\) | 8.51734 | − | 10.9017i | 0.288599 | − | 0.369390i | ||||
\(872\) | 9.61818 | + | 23.8058i | 0.325713 | + | 0.806167i | ||||
\(873\) | 15.2571 | − | 11.0849i | 0.516374 | − | 0.375168i | ||||
\(874\) | 3.71033 | + | 3.32985i | 0.125504 | + | 0.112634i | ||||
\(875\) | 8.94470 | + | 37.7130i | 0.302386 | + | 1.27493i | ||||
\(876\) | −6.95513 | + | 5.83605i | −0.234992 | + | 0.197182i | ||||
\(877\) | −29.6959 | + | 8.51516i | −1.00276 | + | 0.287537i | −0.736553 | − | 0.676380i | \(-0.763548\pi\) |
−0.266206 | + | 0.963916i | \(0.585770\pi\) | |||||||
\(878\) | 18.6524 | + | 9.91768i | 0.629489 | + | 0.334705i | ||||
\(879\) | 0.171913 | + | 0.0241608i | 0.00579849 | + | 0.000814925i | ||||
\(880\) | −5.22675 | + | 7.31347i | −0.176194 | + | 0.246537i | ||||
\(881\) | −9.66406 | − | 2.05416i | −0.325590 | − | 0.0692064i | 0.0422167 | − | 0.999108i | \(-0.486558\pi\) |
−0.367807 | + | 0.929902i | \(0.619891\pi\) | |||||||
\(882\) | −3.53005 | − | 6.11423i | −0.118863 | − | 0.205877i | ||||
\(883\) | 8.77622 | − | 21.7219i | 0.295343 | − | 0.731000i | −0.704431 | − | 0.709772i | \(-0.748798\pi\) |
0.999775 | − | 0.0212282i | \(-0.00675765\pi\) | |||||||
\(884\) | 0.744282 | + | 2.98515i | 0.0250329 | + | 0.100402i | ||||
\(885\) | 18.6559 | − | 3.44001i | 0.627110 | − | 0.115635i | ||||
\(886\) | −0.650195 | − | 6.18619i | −0.0218437 | − | 0.207829i | ||||
\(887\) | 40.1597 | + | 11.5156i | 1.34843 | + | 0.386657i | 0.870685 | − | 0.491841i | \(-0.163676\pi\) |
0.477747 | + | 0.878498i | \(0.341454\pi\) | |||||||
\(888\) | −9.15134 | + | 18.7630i | −0.307099 | + | 0.629646i | ||||
\(889\) | −16.5272 | − | 33.8857i | −0.554304 | − | 1.13649i | ||||
\(890\) | −0.600499 | + | 9.67288i | −0.0201288 | + | 0.324236i | ||||
\(891\) | −13.1793 | + | 0.921585i | −0.441523 | + | 0.0308743i | ||||
\(892\) | 1.78853 | + | 5.50454i | 0.0598846 | + | 0.184306i | ||||
\(893\) | −26.2749 | − | 10.5659i | −0.879254 | − | 0.353574i | ||||
\(894\) | −8.98238 | − | 27.6449i | −0.300416 | − | 0.924585i | ||||
\(895\) | 17.5821 | + | 11.6605i | 0.587704 | + | 0.389766i | ||||
\(896\) | 8.40731 | − | 10.7609i | 0.280869 | − | 0.359495i | ||||
\(897\) | −3.43204 | − | 1.82485i | −0.114592 | − | 0.0609299i | ||||
\(898\) | 20.0536 | + | 19.3655i | 0.669197 | + | 0.646236i | ||||
\(899\) | −58.8339 | + | 21.4138i | −1.96222 | + | 0.714190i | ||||
\(900\) | −7.35818 | − | 1.98605i | −0.245273 | − | 0.0662017i | ||||
\(901\) | 0.583036 | + | 1.00985i | 0.0194237 | + | 0.0336429i | ||||
\(902\) | 47.0028 | + | 3.28675i | 1.56502 | + | 0.109437i | ||||
\(903\) | −24.0038 | + | 14.9992i | −0.798795 | + | 0.499143i | ||||
\(904\) | −31.6325 | + | 6.72371i | −1.05208 | + | 0.223627i | ||||
\(905\) | 2.73787 | − | 1.13113i | 0.0910100 | − | 0.0376001i | ||||
\(906\) | −2.89259 | − | 3.70235i | −0.0960999 | − | 0.123002i | ||||
\(907\) | −2.33641 | − | 13.2504i | −0.0775792 | − | 0.439973i | −0.998713 | − | 0.0507263i | \(-0.983846\pi\) |
0.921133 | − | 0.389247i | \(-0.127265\pi\) | |||||||
\(908\) | 16.5512 | − | 2.32612i | 0.549271 | − | 0.0771950i | ||||
\(909\) | −2.06781 | − | 3.06566i | −0.0685851 | − | 0.101682i | ||||
\(910\) | 5.36178 | − | 19.2655i | 0.177741 | − | 0.638645i | ||||
\(911\) | −23.8385 | + | 17.3197i | −0.789804 | + | 0.573826i | −0.907905 | − | 0.419175i | \(-0.862319\pi\) |
0.118101 | + | 0.993002i | \(0.462319\pi\) | |||||||
\(912\) | 2.25632 | + | 3.59779i | 0.0747142 | + | 0.119135i | ||||
\(913\) | 26.2428 | + | 19.0665i | 0.868511 | + | 0.631011i | ||||
\(914\) | −3.20279 | + | 12.8457i | −0.105939 | + | 0.424898i | ||||
\(915\) | 7.29529 | + | 11.4745i | 0.241175 | + | 0.379334i | ||||
\(916\) | −14.5810 | + | 14.0807i | −0.481771 | + | 0.465240i | ||||
\(917\) | −29.9254 | + | 15.9116i | −0.988223 | + | 0.525448i | ||||
\(918\) | −5.57598 | + | 2.02949i | −0.184035 | + | 0.0669832i | ||||
\(919\) | −40.2126 | − | 8.54744i | −1.32649 | − | 0.281954i | −0.510429 | − | 0.859920i | \(-0.670513\pi\) |
−0.816061 | + | 0.577966i | \(0.803847\pi\) | |||||||
\(920\) | 3.72041 | + | 6.86711i | 0.122658 | + | 0.226402i | ||||
\(921\) | −25.9344 | + | 16.2056i | −0.854568 | + | 0.533993i | ||||
\(922\) | −27.9993 | + | 17.4959i | −0.922109 | + | 0.576198i | ||||
\(923\) | −5.58375 | − | 2.48605i | −0.183791 | − | 0.0818292i | ||||
\(924\) | 11.7103 | − | 20.2829i | 0.385242 | − | 0.667258i | ||||
\(925\) | −17.0071 | + | 22.4835i | −0.559191 | + | 0.739254i | ||||
\(926\) | −1.66952 | − | 9.46830i | −0.0548637 | − | 0.311148i | ||||
\(927\) | −2.26467 | − | 4.64325i | −0.0743814 | − | 0.152504i | ||||
\(928\) | 24.8051 | − | 31.7490i | 0.814266 | − | 1.04221i | ||||
\(929\) | 15.7105 | + | 38.8848i | 0.515445 | + | 1.27577i | 0.930606 | + | 0.366022i | \(0.119281\pi\) |
−0.415161 | + | 0.909748i | \(0.636275\pi\) | |||||||
\(930\) | 7.30426 | − | 20.5668i | 0.239516 | − | 0.674411i | ||||
\(931\) | 8.86427 | − | 19.9972i | 0.290515 | − | 0.655383i | ||||
\(932\) | −20.7868 | −0.680894 | ||||||||
\(933\) | −34.2223 | − | 21.3845i | −1.12039 | − | 0.700096i | ||||
\(934\) | 3.83515 | + | 5.68584i | 0.125490 | + | 0.186046i | ||||
\(935\) | 2.53509 | − | 12.4023i | 0.0829063 | − | 0.405598i | ||||
\(936\) | 8.19681 | + | 7.91557i | 0.267921 | + | 0.258728i | ||||
\(937\) | −34.5680 | − | 9.91221i | −1.12929 | − | 0.323818i | −0.341570 | − | 0.939856i | \(-0.610959\pi\) |
−0.787716 | + | 0.616039i | \(0.788737\pi\) | |||||||
\(938\) | −16.0691 | + | 7.15441i | −0.524674 | + | 0.233600i | ||||
\(939\) | −37.4412 | − | 16.6699i | −1.22185 | − | 0.544001i | ||||
\(940\) | −11.4574 | − | 10.1553i | −0.373699 | − | 0.331230i | ||||
\(941\) | −11.9924 | − | 48.0988i | −0.390940 | − | 1.56798i | −0.767166 | − | 0.641448i | \(-0.778334\pi\) |
0.376226 | − | 0.926528i | \(-0.377222\pi\) | |||||||
\(942\) | −4.91323 | + | 5.45669i | −0.160082 | + | 0.177789i | ||||
\(943\) | 5.53731 | − | 9.59091i | 0.180320 | − | 0.312323i | ||||
\(944\) | 3.27547 | + | 4.19240i | 0.106607 | + | 0.136451i | ||||
\(945\) | −42.3662 | − | 7.12951i | −1.37817 | − | 0.231923i | ||||
\(946\) | −28.9338 | − | 15.3844i | −0.940718 | − | 0.500189i | ||||
\(947\) | 2.69321 | − | 3.44715i | 0.0875175 | − | 0.112017i | −0.742259 | − | 0.670113i | \(-0.766246\pi\) |
0.829777 | + | 0.558096i | \(0.188468\pi\) | |||||||
\(948\) | 1.34112 | − | 5.37896i | 0.0435577 | − | 0.174700i | ||||
\(949\) | 18.3314 | 0.595061 | ||||||||
\(950\) | 7.59329 | + | 19.7929i | 0.246359 | + | 0.642165i | ||||
\(951\) | 8.74889 | 0.283702 | ||||||||
\(952\) | 2.74222 | − | 10.9984i | 0.0888757 | − | 0.356461i | ||||
\(953\) | −9.48512 | + | 12.1404i | −0.307253 | + | 0.393266i | −0.916710 | − | 0.399553i | \(-0.869165\pi\) |
0.609457 | + | 0.792819i | \(0.291388\pi\) | |||||||
\(954\) | 1.31596 | + | 0.699709i | 0.0426058 | + | 0.0226539i | ||||
\(955\) | 6.47977 | + | 43.6301i | 0.209681 | + | 1.41184i | ||||
\(956\) | 17.7207 | + | 22.6815i | 0.573130 | + | 0.733573i | ||||
\(957\) | 24.9275 | − | 43.1758i | 0.805793 | − | 1.39567i | ||||
\(958\) | 9.67034 | − | 10.7400i | 0.312435 | − | 0.346994i | ||||
\(959\) | 8.99452 | + | 36.0751i | 0.290448 | + | 1.16492i | ||||
\(960\) | 3.96648 | + | 17.9694i | 0.128018 | + | 0.579960i | ||||
\(961\) | 30.8889 | + | 13.7526i | 0.996415 | + | 0.443632i | ||||
\(962\) | 13.2877 | − | 5.91608i | 0.428414 | − | 0.190742i | ||||
\(963\) | 21.0348 | + | 6.03163i | 0.677837 | + | 0.194367i | ||||
\(964\) | 8.77938 | + | 8.47815i | 0.282765 | + | 0.273063i | ||||
\(965\) | 2.54481 | + | 5.59764i | 0.0819204 | + | 0.180195i | ||||
\(966\) | 2.76361 | + | 4.09723i | 0.0889178 | + | 0.131826i | ||||
\(967\) | −34.0753 | − | 21.2926i | −1.09579 | − | 0.684724i | −0.143416 | − | 0.989663i | \(-0.545809\pi\) |
−0.952372 | + | 0.304938i | \(0.901364\pi\) | |||||||
\(968\) | 45.8983 | 1.47523 | ||||||||
\(969\) | −4.96340 | − | 3.33608i | −0.159447 | − | 0.107170i | ||||
\(970\) | −22.4829 | − | 17.2844i | −0.721881 | − | 0.554969i | ||||
\(971\) | −2.32129 | − | 5.74538i | −0.0744936 | − | 0.184378i | 0.885343 | − | 0.464939i | \(-0.153924\pi\) |
−0.959836 | + | 0.280561i | \(0.909479\pi\) | |||||||
\(972\) | 8.71021 | − | 11.1486i | 0.279380 | − | 0.357590i | ||||
\(973\) | 27.4451 | + | 56.2707i | 0.879848 | + | 1.80396i | ||||
\(974\) | 4.12042 | + | 23.3681i | 0.132027 | + | 0.748761i | ||||
\(975\) | −9.45570 | − | 13.5569i | −0.302825 | − | 0.434167i | ||||
\(976\) | −1.90667 | + | 3.30245i | −0.0610310 | + | 0.105709i | ||||
\(977\) | 13.7922 | + | 6.14070i | 0.441253 | + | 0.196458i | 0.615323 | − | 0.788275i | \(-0.289025\pi\) |
−0.174071 | + | 0.984733i | \(0.555692\pi\) | |||||||
\(978\) | 22.5143 | − | 14.0685i | 0.719928 | − | 0.449861i | ||||
\(979\) | 19.4345 | − | 12.1440i | 0.621130 | − | 0.388125i | ||||
\(980\) | 8.14793 | − | 8.57042i | 0.260276 | − | 0.273772i | ||||
\(981\) | −12.2287 | − | 2.59930i | −0.390433 | − | 0.0829892i | ||||
\(982\) | 0.0865126 | − | 0.0314880i | 0.00276073 | − | 0.00100482i | ||||
\(983\) | −26.4500 | + | 14.0637i | −0.843623 | + | 0.448563i | −0.834245 | − | 0.551393i | \(-0.814096\pi\) |
−0.00937815 | + | 0.999956i | \(0.502985\pi\) | |||||||
\(984\) | 25.0849 | − | 24.2242i | 0.799677 | − | 0.772239i | ||||
\(985\) | −1.58409 | + | 25.5166i | −0.0504733 | + | 0.813026i | ||||
\(986\) | 2.01440 | − | 8.07933i | 0.0641517 | − | 0.257298i | ||||
\(987\) | −22.7122 | − | 16.5014i | −0.722939 | − | 0.525246i | ||||
\(988\) | −1.67587 | + | 12.0673i | −0.0533166 | + | 0.383913i | ||||
\(989\) | −6.23124 | + | 4.52726i | −0.198142 | + | 0.143958i | ||||
\(990\) | −5.65242 | − | 15.1603i | −0.179646 | − | 0.481827i | ||||
\(991\) | −2.06380 | − | 3.05971i | −0.0655588 | − | 0.0971949i | 0.794833 | − | 0.606829i | \(-0.207559\pi\) |
−0.860391 | + | 0.509634i | \(0.829781\pi\) | |||||||
\(992\) | −41.3014 | + | 5.80454i | −1.31132 | + | 0.184294i | ||||
\(993\) | −6.07430 | − | 34.4491i | −0.192762 | − | 1.09321i | ||||
\(994\) | 4.78450 | + | 6.12388i | 0.151755 | + | 0.194238i | ||||
\(995\) | 2.06270 | + | 26.5191i | 0.0653919 | + | 0.840714i | ||||
\(996\) | 8.10378 | − | 1.72251i | 0.256778 | − | 0.0545799i | ||||
\(997\) | −17.8511 | + | 11.1546i | −0.565351 | + | 0.353271i | −0.782290 | − | 0.622915i | \(-0.785948\pi\) |
0.216939 | + | 0.976185i | \(0.430393\pi\) | |||||||
\(998\) | 27.4037 | + | 1.91625i | 0.867449 | + | 0.0606579i | ||||
\(999\) | −15.6241 | − | 27.0617i | −0.494324 | − | 0.856194i |
(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 | 475.2.bc.a.386.32 | yes | 1152 | |
19.16 | even | 9 | inner | 475.2.bc.a.111.32 | yes | 1152 | |
25.16 | even | 5 | inner | 475.2.bc.a.291.32 | yes | 1152 | |
475.16 | even | 45 | inner | 475.2.bc.a.16.32 | ✓ | 1152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.bc.a.16.32 | ✓ | 1152 | 475.16 | even | 45 | inner | |
475.2.bc.a.111.32 | yes | 1152 | 19.16 | even | 9 | inner | |
475.2.bc.a.291.32 | yes | 1152 | 25.16 | even | 5 | inner | |
475.2.bc.a.386.32 | yes | 1152 | 1.1 | even | 1 | trivial |