Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(4,189)]
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([2, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.u (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 | 142.4 | ||
Character | \(\chi\) | \(=\) | 189.142 |
Dual form | 189.2.u.a.4.4 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.324131 | + | 1.83824i | −0.229195 | + | 1.29983i | 0.625306 | + | 0.780380i | \(0.284974\pi\) |
−0.854501 | + | 0.519450i | \(0.826137\pi\) | |||||||
\(3\) | 0.743955 | + | 1.56414i | 0.429523 | + | 0.903056i | ||||
\(4\) | −1.39467 | − | 0.507617i | −0.697333 | − | 0.253809i | ||||
\(5\) | 1.37479 | + | 0.500384i | 0.614827 | + | 0.223779i | 0.630614 | − | 0.776097i | \(-0.282803\pi\) |
−0.0157870 | + | 0.999875i | \(0.505025\pi\) | |||||||
\(6\) | −3.11640 | + | 0.860580i | −1.27226 | + | 0.351330i | ||||
\(7\) | −2.42382 | − | 1.06071i | −0.916117 | − | 0.400910i | ||||
\(8\) | −0.481419 | + | 0.833843i | −0.170207 | + | 0.294808i | ||||
\(9\) | −1.89306 | + | 2.32730i | −0.631020 | + | 0.775766i | ||||
\(10\) | −1.36544 | + | 2.36501i | −0.431789 | + | 0.747881i | ||||
\(11\) | 4.29056 | − | 1.56163i | 1.29365 | − | 0.470851i | 0.398727 | − | 0.917069i | \(-0.369452\pi\) |
0.894924 | + | 0.446219i | \(0.147230\pi\) | |||||||
\(12\) | −0.243586 | − | 2.55910i | −0.0703172 | − | 0.738748i | ||||
\(13\) | 0.925783 | + | 0.336957i | 0.256766 | + | 0.0934552i | 0.467196 | − | 0.884154i | \(-0.345264\pi\) |
−0.210430 | + | 0.977609i | \(0.567486\pi\) | |||||||
\(14\) | 2.73547 | − | 4.11174i | 0.731084 | − | 1.09891i | ||||
\(15\) | 0.240115 | + | 2.52263i | 0.0619974 | + | 0.651341i | ||||
\(16\) | −3.65064 | − | 3.06325i | −0.912661 | − | 0.765813i | ||||
\(17\) | 0.620234 | − | 1.07428i | 0.150429 | − | 0.260550i | −0.780956 | − | 0.624586i | \(-0.785268\pi\) |
0.931385 | + | 0.364035i | \(0.118601\pi\) | |||||||
\(18\) | −3.66453 | − | 4.23424i | −0.863737 | − | 0.998021i | ||||
\(19\) | −0.718027 | − | 1.24366i | −0.164727 | − | 0.285315i | 0.771832 | − | 0.635827i | \(-0.219341\pi\) |
−0.936558 | + | 0.350512i | \(0.886008\pi\) | |||||||
\(20\) | −1.66338 | − | 1.39574i | −0.371942 | − | 0.312097i | ||||
\(21\) | −0.144117 | − | 4.58031i | −0.0314488 | − | 0.999505i | ||||
\(22\) | 1.47995 | + | 8.39323i | 0.315527 | + | 1.78944i | ||||
\(23\) | 0.165636 | + | 0.939366i | 0.0345374 | + | 0.195871i | 0.997195 | − | 0.0748517i | \(-0.0238483\pi\) |
−0.962657 | + | 0.270723i | \(0.912737\pi\) | |||||||
\(24\) | −1.66240 | − | 0.132665i | −0.339336 | − | 0.0270801i | ||||
\(25\) | −2.19055 | − | 1.83809i | −0.438109 | − | 0.367617i | ||||
\(26\) | −0.919482 | + | 1.59259i | −0.180325 | + | 0.312333i | ||||
\(27\) | −5.04857 | − | 1.22960i | −0.971598 | − | 0.236638i | ||||
\(28\) | 2.84199 | + | 2.70971i | 0.537085 | + | 0.512087i | ||||
\(29\) | 5.18835 | − | 1.88840i | 0.963452 | − | 0.350668i | 0.188067 | − | 0.982156i | \(-0.439778\pi\) |
0.775385 | + | 0.631488i | \(0.217556\pi\) | |||||||
\(30\) | −4.71503 | − | 0.376275i | −0.860842 | − | 0.0686981i | ||||
\(31\) | 6.28413 | + | 2.28724i | 1.12866 | + | 0.410800i | 0.837807 | − | 0.545967i | \(-0.183837\pi\) |
0.290857 | + | 0.956767i | \(0.406060\pi\) | |||||||
\(32\) | 5.33911 | − | 4.48005i | 0.943831 | − | 0.791968i | ||||
\(33\) | 5.63460 | + | 5.54924i | 0.980857 | + | 0.965999i | ||||
\(34\) | 1.77374 | + | 1.48834i | 0.304194 | + | 0.255249i | ||||
\(35\) | −2.80149 | − | 2.67110i | −0.473538 | − | 0.451498i | ||||
\(36\) | 3.82157 | − | 2.28486i | 0.636928 | − | 0.380809i | ||||
\(37\) | −2.88764 | −0.474725 | −0.237363 | − | 0.971421i | \(-0.576283\pi\) | ||||
−0.237363 | + | 0.971421i | \(0.576283\pi\) | |||||||
\(38\) | 2.51887 | − | 0.916795i | 0.408615 | − | 0.148724i | ||||
\(39\) | 0.161693 | + | 1.69873i | 0.0258916 | + | 0.272015i | ||||
\(40\) | −1.07909 | + | 0.905468i | −0.170620 | + | 0.143167i | ||||
\(41\) | 11.1576 | + | 4.06104i | 1.74253 | + | 0.634227i | 0.999390 | − | 0.0349137i | \(-0.0111156\pi\) |
0.743135 | + | 0.669141i | \(0.233338\pi\) | |||||||
\(42\) | 8.46640 | + | 1.21970i | 1.30639 | + | 0.188204i | ||||
\(43\) | 0.559660 | − | 3.17399i | 0.0853473 | − | 0.484029i | −0.911934 | − | 0.410337i | \(-0.865411\pi\) |
0.997281 | − | 0.0736913i | \(-0.0234780\pi\) | |||||||
\(44\) | −6.77661 | −1.02161 | ||||||||
\(45\) | −3.76711 | + | 2.25230i | −0.561568 | + | 0.335753i | ||||
\(46\) | −1.78046 | −0.262515 | ||||||||
\(47\) | −10.6381 | + | 3.87197i | −1.55173 | + | 0.564785i | −0.968823 | − | 0.247753i | \(-0.920308\pi\) |
−0.582909 | + | 0.812537i | \(0.698086\pi\) | |||||||
\(48\) | 2.07544 | − | 7.98904i | 0.299564 | − | 1.15312i | ||||
\(49\) | 4.74979 | + | 5.14193i | 0.678542 | + | 0.734562i | ||||
\(50\) | 4.08886 | − | 3.43096i | 0.578252 | − | 0.485211i | ||||
\(51\) | 2.14175 | + | 0.170918i | 0.299904 | + | 0.0239334i | ||||
\(52\) | −1.12011 | − | 0.939887i | −0.155332 | − | 0.130339i | ||||
\(53\) | 2.32509 | + | 4.02717i | 0.319376 | + | 0.553175i | 0.980358 | − | 0.197227i | \(-0.0631935\pi\) |
−0.660982 | + | 0.750402i | \(0.729860\pi\) | |||||||
\(54\) | 3.89670 | − | 8.88191i | 0.530274 | − | 1.20868i | ||||
\(55\) | 6.68005 | 0.900738 | ||||||||
\(56\) | 2.05134 | − | 1.51044i | 0.274122 | − | 0.201841i | ||||
\(57\) | 1.41108 | − | 2.04832i | 0.186902 | − | 0.271307i | ||||
\(58\) | 1.78963 | + | 10.1495i | 0.234990 | + | 1.33269i | ||||
\(59\) | −4.83431 | + | 4.05647i | −0.629374 | + | 0.528108i | −0.900734 | − | 0.434370i | \(-0.856971\pi\) |
0.271360 | + | 0.962478i | \(0.412527\pi\) | |||||||
\(60\) | 0.945652 | − | 3.64012i | 0.122083 | − | 0.469938i | ||||
\(61\) | −4.93482 | + | 1.79613i | −0.631839 | + | 0.229970i | −0.638031 | − | 0.770010i | \(-0.720251\pi\) |
0.00619278 | + | 0.999981i | \(0.498029\pi\) | |||||||
\(62\) | −6.24136 | + | 10.8104i | −0.792654 | + | 1.37292i | ||||
\(63\) | 7.05702 | − | 3.63296i | 0.889101 | − | 0.457710i | ||||
\(64\) | 1.73924 | + | 3.01245i | 0.217405 | + | 0.376557i | ||||
\(65\) | 1.10415 | + | 0.926495i | 0.136953 | + | 0.114918i | ||||
\(66\) | −12.0272 | + | 8.55904i | −1.48044 | + | 1.05354i | ||||
\(67\) | −2.28146 | − | 12.9388i | −0.278725 | − | 1.58073i | −0.726875 | − | 0.686770i | \(-0.759028\pi\) |
0.448150 | − | 0.893958i | \(-0.352083\pi\) | |||||||
\(68\) | −1.41034 | + | 1.18342i | −0.171029 | + | 0.143510i | ||||
\(69\) | −1.34607 | + | 0.957924i | −0.162048 | + | 0.115320i | ||||
\(70\) | 5.81816 | − | 4.28402i | 0.695403 | − | 0.512038i | ||||
\(71\) | −5.80593 | − | 10.0562i | −0.689037 | − | 1.19345i | −0.972150 | − | 0.234360i | \(-0.924701\pi\) |
0.283113 | − | 0.959087i | \(-0.408633\pi\) | |||||||
\(72\) | −1.02924 | − | 2.69892i | −0.121298 | − | 0.318071i | ||||
\(73\) | 9.93018 | 1.16224 | 0.581120 | − | 0.813818i | \(-0.302615\pi\) | ||||
0.581120 | + | 0.813818i | \(0.302615\pi\) | |||||||
\(74\) | 0.935973 | − | 5.30816i | 0.108805 | − | 0.617062i | ||||
\(75\) | 1.24535 | − | 4.79377i | 0.143801 | − | 0.553537i | ||||
\(76\) | 0.370105 | + | 2.09897i | 0.0424540 | + | 0.240769i | ||||
\(77\) | −12.0560 | − | 0.765911i | −1.37391 | − | 0.0872837i | ||||
\(78\) | −3.17508 | − | 0.253382i | −0.359508 | − | 0.0286899i | ||||
\(79\) | 2.45710 | − | 13.9349i | 0.276445 | − | 1.56780i | −0.457887 | − | 0.889010i | \(-0.651394\pi\) |
0.734333 | − | 0.678790i | \(-0.237495\pi\) | |||||||
\(80\) | −3.48608 | − | 6.03807i | −0.389756 | − | 0.675077i | ||||
\(81\) | −1.83264 | − | 8.81144i | −0.203626 | − | 0.979049i | ||||
\(82\) | −11.0817 | + | 19.1940i | −1.22377 | + | 2.11962i | ||||
\(83\) | −7.82112 | + | 2.84665i | −0.858479 | + | 0.312461i | −0.733493 | − | 0.679697i | \(-0.762111\pi\) |
−0.124987 | + | 0.992158i | \(0.539889\pi\) | |||||||
\(84\) | −2.12405 | + | 6.46116i | −0.231753 | + | 0.704970i | ||||
\(85\) | 1.39025 | − | 1.16656i | 0.150793 | − | 0.126531i | ||||
\(86\) | 5.65314 | + | 2.05757i | 0.609594 | + | 0.221874i | ||||
\(87\) | 6.81363 | + | 6.71041i | 0.730497 | + | 0.719431i | ||||
\(88\) | −0.763399 | + | 4.32945i | −0.0813786 | + | 0.461521i | ||||
\(89\) | 0.307487 | + | 0.532584i | 0.0325936 | + | 0.0564538i | 0.881862 | − | 0.471507i | \(-0.156290\pi\) |
−0.849268 | + | 0.527961i | \(0.822957\pi\) | |||||||
\(90\) | −2.91922 | − | 7.65489i | −0.307713 | − | 0.806896i | ||||
\(91\) | −1.88652 | − | 1.79871i | −0.197761 | − | 0.188556i | ||||
\(92\) | 0.245832 | − | 1.39418i | 0.0256298 | − | 0.145354i | ||||
\(93\) | 1.09756 | + | 11.5309i | 0.113811 | + | 1.19569i | ||||
\(94\) | −3.66944 | − | 20.8104i | −0.378474 | − | 2.14643i | ||||
\(95\) | −0.364832 | − | 2.06907i | −0.0374310 | − | 0.212282i | ||||
\(96\) | 10.9795 | + | 5.01816i | 1.12059 | + | 0.512164i | ||||
\(97\) | −0.991251 | + | 5.62167i | −0.100646 | + | 0.570794i | 0.892224 | + | 0.451593i | \(0.149144\pi\) |
−0.992870 | + | 0.119200i | \(0.961967\pi\) | |||||||
\(98\) | −10.9916 | + | 7.06459i | −1.11032 | + | 0.713631i | ||||
\(99\) | −4.48790 | + | 12.9417i | −0.451050 | + | 1.30069i | ||||
\(100\) | 2.12204 | + | 3.67548i | 0.212204 | + | 0.367548i | ||||
\(101\) | −2.05653 | + | 11.6632i | −0.204632 | + | 1.16053i | 0.693385 | + | 0.720567i | \(0.256119\pi\) |
−0.898017 | + | 0.439960i | \(0.854993\pi\) | |||||||
\(102\) | −1.00839 | + | 3.88163i | −0.0998458 | + | 0.384339i | ||||
\(103\) | −12.0593 | − | 4.38923i | −1.18824 | − | 0.432484i | −0.329134 | − | 0.944283i | \(-0.606757\pi\) |
−0.859105 | + | 0.511800i | \(0.828979\pi\) | |||||||
\(104\) | −0.726659 | + | 0.609740i | −0.0712548 | + | 0.0597899i | ||||
\(105\) | 2.09378 | − | 6.36910i | 0.204332 | − | 0.621560i | ||||
\(106\) | −8.15653 | + | 2.96873i | −0.792232 | + | 0.288349i | ||||
\(107\) | 5.52411 | − | 9.56804i | 0.534036 | − | 0.924977i | −0.465173 | − | 0.885220i | \(-0.654008\pi\) |
0.999209 | − | 0.0397577i | \(-0.0126586\pi\) | |||||||
\(108\) | 6.41691 | + | 4.27763i | 0.617467 | + | 0.411615i | ||||
\(109\) | −9.52408 | − | 16.4962i | −0.912242 | − | 1.58005i | −0.810890 | − | 0.585198i | \(-0.801017\pi\) |
−0.101352 | − | 0.994851i | \(-0.532317\pi\) | |||||||
\(110\) | −2.16521 | + | 12.2795i | −0.206445 | + | 1.17081i | ||||
\(111\) | −2.14827 | − | 4.51667i | −0.203905 | − | 0.428703i | ||||
\(112\) | 5.59928 | + | 11.2970i | 0.529082 | + | 1.06747i | ||||
\(113\) | 1.36095 | + | 7.71833i | 0.128027 | + | 0.726080i | 0.979464 | + | 0.201621i | \(0.0646210\pi\) |
−0.851436 | + | 0.524458i | \(0.824268\pi\) | |||||||
\(114\) | 3.30792 | + | 3.25781i | 0.309815 | + | 0.305122i | ||||
\(115\) | −0.242329 | + | 1.37432i | −0.0225973 | + | 0.128156i | ||||
\(116\) | −8.19460 | −0.760850 | ||||||||
\(117\) | −2.53676 | + | 1.51669i | −0.234524 | + | 0.140218i | ||||
\(118\) | −5.88980 | − | 10.2014i | −0.542200 | − | 0.939119i | ||||
\(119\) | −2.64283 | + | 1.94596i | −0.242268 | + | 0.178386i | ||||
\(120\) | −2.21908 | − | 1.01423i | −0.202573 | − | 0.0925858i | ||||
\(121\) | 7.54368 | − | 6.32990i | 0.685789 | − | 0.575445i | ||||
\(122\) | −1.70218 | − | 9.65354i | −0.154108 | − | 0.873990i | ||||
\(123\) | 1.94873 | + | 20.4733i | 0.175711 | + | 1.84601i | ||||
\(124\) | −7.60323 | − | 6.37987i | −0.682790 | − | 0.572929i | ||||
\(125\) | −5.74937 | − | 9.95820i | −0.514239 | − | 0.890688i | ||||
\(126\) | 4.39085 | + | 14.1500i | 0.391168 | + | 1.26058i | ||||
\(127\) | −6.35187 | + | 11.0018i | −0.563637 | + | 0.976249i | 0.433538 | + | 0.901136i | \(0.357265\pi\) |
−0.997175 | + | 0.0751132i | \(0.976068\pi\) | |||||||
\(128\) | 6.99744 | − | 2.54686i | 0.618492 | − | 0.225113i | ||||
\(129\) | 5.38092 | − | 1.48592i | 0.473764 | − | 0.130828i | ||||
\(130\) | −2.06101 | + | 1.72939i | −0.180762 | + | 0.151677i | ||||
\(131\) | −1.45783 | − | 8.26775i | −0.127371 | − | 0.722357i | −0.979871 | − | 0.199630i | \(-0.936026\pi\) |
0.852500 | − | 0.522727i | \(-0.175085\pi\) | |||||||
\(132\) | −5.04149 | − | 10.5996i | −0.438806 | − | 0.922573i | ||||
\(133\) | 0.421207 | + | 3.77602i | 0.0365233 | + | 0.327423i | ||||
\(134\) | 24.5241 | 2.11856 | ||||||||
\(135\) | −6.32547 | − | 4.21668i | −0.544410 | − | 0.362914i | ||||
\(136\) | 0.597185 | + | 1.03436i | 0.0512082 | + | 0.0886953i | ||||
\(137\) | −1.77965 | − | 1.49330i | −0.152046 | − | 0.127581i | 0.563592 | − | 0.826054i | \(-0.309419\pi\) |
−0.715637 | + | 0.698472i | \(0.753864\pi\) | |||||||
\(138\) | −1.32459 | − | 2.78489i | −0.112756 | − | 0.237066i | ||||
\(139\) | 16.4618 | − | 13.8131i | 1.39627 | − | 1.17161i | 0.433546 | − | 0.901131i | \(-0.357262\pi\) |
0.962726 | − | 0.270480i | \(-0.0871824\pi\) | |||||||
\(140\) | 2.55125 | + | 5.14738i | 0.215620 | + | 0.435033i | ||||
\(141\) | −13.9706 | − | 13.7590i | −1.17654 | − | 1.15871i | ||||
\(142\) | 20.3675 | − | 7.41316i | 1.70920 | − | 0.622098i | ||||
\(143\) | 4.49833 | 0.376169 | ||||||||
\(144\) | 14.0400 | − | 2.69721i | 1.17000 | − | 0.224768i | ||||
\(145\) | 8.07784 | 0.670828 | ||||||||
\(146\) | −3.21868 | + | 18.2540i | −0.266380 | + | 1.51071i | ||||
\(147\) | −4.50906 | + | 11.2547i | −0.371901 | + | 0.928272i | ||||
\(148\) | 4.02730 | + | 1.46582i | 0.331042 | + | 0.120489i | ||||
\(149\) | 3.36481 | − | 2.82341i | 0.275656 | − | 0.231303i | −0.494470 | − | 0.869195i | \(-0.664638\pi\) |
0.770126 | + | 0.637892i | \(0.220193\pi\) | |||||||
\(150\) | 8.40843 | + | 3.84306i | 0.686545 | + | 0.313785i | ||||
\(151\) | −13.9287 | + | 5.06965i | −1.13351 | + | 0.412562i | −0.839564 | − | 0.543261i | \(-0.817189\pi\) |
−0.293942 | + | 0.955823i | \(0.594967\pi\) | |||||||
\(152\) | 1.38269 | 0.112151 | ||||||||
\(153\) | 1.32602 | + | 3.47714i | 0.107203 | + | 0.281110i | ||||
\(154\) | 5.31564 | − | 21.9135i | 0.428346 | − | 1.76584i | ||||
\(155\) | 7.49490 | + | 6.28896i | 0.602005 | + | 0.505142i | ||||
\(156\) | 0.636799 | − | 2.45125i | 0.0509847 | − | 0.196257i | ||||
\(157\) | 0.289738 | − | 0.243119i | 0.0231236 | − | 0.0194030i | −0.631153 | − | 0.775659i | \(-0.717418\pi\) |
0.654276 | + | 0.756256i | \(0.272973\pi\) | |||||||
\(158\) | 24.8192 | + | 9.03346i | 1.97451 | + | 0.718664i | ||||
\(159\) | −4.56930 | + | 6.63280i | −0.362369 | + | 0.526015i | ||||
\(160\) | 9.58193 | − | 3.48754i | 0.757518 | − | 0.275714i | ||||
\(161\) | 0.594923 | − | 2.45254i | 0.0468865 | − | 0.193288i | ||||
\(162\) | 16.7915 | − | 0.512764i | 1.31927 | − | 0.0402866i | ||||
\(163\) | −2.58086 | + | 4.47018i | −0.202148 | + | 0.350131i | −0.949220 | − | 0.314612i | \(-0.898126\pi\) |
0.747072 | + | 0.664743i | \(0.231459\pi\) | |||||||
\(164\) | −13.4997 | − | 11.3276i | −1.05415 | − | 0.884536i | ||||
\(165\) | 4.96966 | + | 10.4485i | 0.386887 | + | 0.813417i | ||||
\(166\) | −2.69776 | − | 15.2998i | −0.209387 | − | 1.18749i | ||||
\(167\) | −1.88838 | − | 10.7095i | −0.146127 | − | 0.828727i | −0.966455 | − | 0.256834i | \(-0.917321\pi\) |
0.820329 | − | 0.571893i | \(-0.193791\pi\) | |||||||
\(168\) | 3.88864 | + | 2.08488i | 0.300015 | + | 0.160852i | ||||
\(169\) | −9.21504 | − | 7.73234i | −0.708850 | − | 0.594795i | ||||
\(170\) | 1.69378 | + | 2.93372i | 0.129907 | + | 0.225006i | ||||
\(171\) | 4.25363 | + | 0.683260i | 0.325284 | + | 0.0522502i | ||||
\(172\) | −2.39171 | + | 4.14256i | −0.182366 | + | 0.315868i | ||||
\(173\) | 9.27634 | + | 7.78377i | 0.705267 | + | 0.591789i | 0.923267 | − | 0.384160i | \(-0.125509\pi\) |
−0.218000 | + | 0.975949i | \(0.569953\pi\) | |||||||
\(174\) | −14.5438 | + | 10.3500i | −1.10256 | + | 0.784632i | ||||
\(175\) | 3.35981 | + | 6.77872i | 0.253978 | + | 0.512423i | ||||
\(176\) | −20.4470 | − | 7.44209i | −1.54125 | − | 0.560969i | ||||
\(177\) | −9.94140 | − | 4.54371i | −0.747241 | − | 0.341526i | ||||
\(178\) | −1.07868 | + | 0.392608i | −0.0808505 | + | 0.0294272i | ||||
\(179\) | −6.18889 | + | 10.7195i | −0.462579 | + | 0.801211i | −0.999089 | − | 0.0426837i | \(-0.986409\pi\) |
0.536510 | + | 0.843894i | \(0.319743\pi\) | |||||||
\(180\) | 6.39718 | − | 1.22896i | 0.476817 | − | 0.0916009i | ||||
\(181\) | −7.93495 | + | 13.7437i | −0.589800 | + | 1.02156i | 0.404458 | + | 0.914557i | \(0.367460\pi\) |
−0.994258 | + | 0.107007i | \(0.965873\pi\) | |||||||
\(182\) | 3.91793 | − | 2.88485i | 0.290416 | − | 0.213839i | ||||
\(183\) | −6.48067 | − | 6.38250i | −0.479065 | − | 0.471808i | ||||
\(184\) | −0.863024 | − | 0.314115i | −0.0636230 | − | 0.0231569i | ||||
\(185\) | −3.96991 | − | 1.44493i | −0.291874 | − | 0.106233i | ||||
\(186\) | −21.5522 | − | 1.71994i | −1.58028 | − | 0.126112i | ||||
\(187\) | 0.983521 | − | 5.57783i | 0.0719222 | − | 0.407891i | ||||
\(188\) | 16.8021 | 1.22542 | ||||||||
\(189\) | 10.9326 | + | 8.33540i | 0.795227 | + | 0.606311i | ||||
\(190\) | 3.92168 | 0.284509 | ||||||||
\(191\) | −2.63991 | + | 14.9717i | −0.191017 | + | 1.08331i | 0.726960 | + | 0.686680i | \(0.240932\pi\) |
−0.917977 | + | 0.396633i | \(0.870179\pi\) | |||||||
\(192\) | −3.41798 | + | 4.96155i | −0.246671 | + | 0.358069i | ||||
\(193\) | 17.6672 | + | 6.43032i | 1.27171 | + | 0.462865i | 0.887682 | − | 0.460456i | \(-0.152314\pi\) |
0.384028 | + | 0.923321i | \(0.374536\pi\) | |||||||
\(194\) | −10.0127 | − | 3.64431i | −0.718867 | − | 0.261646i | ||||
\(195\) | −0.627726 | + | 2.41632i | −0.0449524 | + | 0.173036i | ||||
\(196\) | −4.01425 | − | 9.58236i | −0.286732 | − | 0.684454i | ||||
\(197\) | 0.130567 | − | 0.226149i | 0.00930255 | − | 0.0161125i | −0.861337 | − | 0.508035i | \(-0.830372\pi\) |
0.870639 | + | 0.491922i | \(0.163706\pi\) | |||||||
\(198\) | −22.3352 | − | 12.4446i | −1.58729 | − | 0.884400i | ||||
\(199\) | 0.818784 | − | 1.41818i | 0.0580421 | − | 0.100532i | −0.835544 | − | 0.549423i | \(-0.814848\pi\) |
0.893586 | + | 0.448891i | \(0.148181\pi\) | |||||||
\(200\) | 2.58725 | − | 0.941681i | 0.182946 | − | 0.0665869i | ||||
\(201\) | 18.5408 | − | 13.1944i | 1.30777 | − | 0.930663i | ||||
\(202\) | −20.7731 | − | 7.56077i | −1.46159 | − | 0.531974i | ||||
\(203\) | −14.5787 | − | 0.926177i | −1.02322 | − | 0.0650049i | ||||
\(204\) | −2.90026 | − | 1.32556i | −0.203059 | − | 0.0928078i | ||||
\(205\) | 13.3073 | + | 11.1662i | 0.929425 | + | 0.779880i | ||||
\(206\) | 11.9772 | − | 20.7452i | 0.834493 | − | 1.44538i | ||||
\(207\) | −2.49974 | − | 1.39279i | −0.173744 | − | 0.0968059i | ||||
\(208\) | −2.34752 | − | 4.06602i | −0.162771 | − | 0.281928i | ||||
\(209\) | −5.02288 | − | 4.21469i | −0.347440 | − | 0.291536i | ||||
\(210\) | 11.0292 | + | 5.91329i | 0.761091 | + | 0.408056i | ||||
\(211\) | 1.10692 | + | 6.27765i | 0.0762034 | + | 0.432171i | 0.998910 | + | 0.0466690i | \(0.0148606\pi\) |
−0.922707 | + | 0.385502i | \(0.874028\pi\) | |||||||
\(212\) | −1.19846 | − | 6.79682i | −0.0823108 | − | 0.466808i | ||||
\(213\) | 11.4099 | − | 16.5626i | 0.781792 | − | 1.13485i | ||||
\(214\) | 15.7978 | + | 13.2559i | 1.07991 | + | 0.906156i | ||||
\(215\) | 2.35763 | − | 4.08354i | 0.160789 | − | 0.278495i | ||||
\(216\) | 3.45578 | − | 3.61776i | 0.235136 | − | 0.246157i | ||||
\(217\) | −12.8055 | − | 12.2095i | −0.869294 | − | 0.828834i | ||||
\(218\) | 33.4110 | − | 12.1606i | 2.26288 | − | 0.823619i | ||||
\(219\) | 7.38761 | + | 15.5322i | 0.499209 | + | 1.04957i | ||||
\(220\) | −9.31645 | − | 3.39091i | −0.628115 | − | 0.228615i | ||||
\(221\) | 0.936188 | − | 0.785555i | 0.0629748 | − | 0.0528421i | ||||
\(222\) | 8.99903 | − | 2.48505i | 0.603975 | − | 0.166785i | ||||
\(223\) | 4.42813 | + | 3.71564i | 0.296529 | + | 0.248818i | 0.778898 | − | 0.627151i | \(-0.215779\pi\) |
−0.482369 | + | 0.875968i | \(0.660223\pi\) | |||||||
\(224\) | −17.6931 | + | 5.19558i | −1.18217 | + | 0.347144i | ||||
\(225\) | 8.42461 | − | 1.61844i | 0.561641 | − | 0.107896i | ||||
\(226\) | −14.6292 | −0.973123 | ||||||||
\(227\) | −12.0490 | + | 4.38547i | −0.799718 | + | 0.291074i | −0.709370 | − | 0.704837i | \(-0.751020\pi\) |
−0.0903484 | + | 0.995910i | \(0.528798\pi\) | |||||||
\(228\) | −3.00774 | + | 2.14044i | −0.199193 | + | 0.141754i | ||||
\(229\) | −4.48966 | + | 3.76727i | −0.296685 | + | 0.248948i | −0.778963 | − | 0.627070i | \(-0.784254\pi\) |
0.482278 | + | 0.876018i | \(0.339810\pi\) | |||||||
\(230\) | −2.44777 | − | 0.890917i | −0.161401 | − | 0.0587453i | ||||
\(231\) | −7.77111 | − | 19.4270i | −0.511301 | − | 1.27820i | ||||
\(232\) | −0.923139 | + | 5.23538i | −0.0606070 | + | 0.343720i | ||||
\(233\) | 0.971513 | 0.0636459 | 0.0318230 | − | 0.999494i | \(-0.489869\pi\) | ||||
0.0318230 | + | 0.999494i | \(0.489869\pi\) | |||||||
\(234\) | −1.96580 | − | 5.15478i | −0.128508 | − | 0.336978i | ||||
\(235\) | −16.5627 | −1.08043 | ||||||||
\(236\) | 8.80139 | − | 3.20345i | 0.572922 | − | 0.208527i | ||||
\(237\) | 23.6241 | − | 6.52370i | 1.53455 | − | 0.423760i | ||||
\(238\) | −2.72052 | − | 5.48889i | −0.176345 | − | 0.355792i | ||||
\(239\) | −18.1999 | + | 15.2715i | −1.17726 | + | 0.987834i | −0.177262 | + | 0.984164i | \(0.556724\pi\) |
−0.999993 | + | 0.00367051i | \(0.998832\pi\) | |||||||
\(240\) | 6.85089 | − | 9.94477i | 0.442223 | − | 0.641932i | ||||
\(241\) | −0.219263 | − | 0.183983i | −0.0141239 | − | 0.0118514i | 0.635698 | − | 0.771938i | \(-0.280712\pi\) |
−0.649822 | + | 0.760086i | \(0.725157\pi\) | |||||||
\(242\) | 9.19071 | + | 15.9188i | 0.590801 | + | 1.02330i | ||||
\(243\) | 12.4189 | − | 9.42182i | 0.796674 | − | 0.604410i | ||||
\(244\) | 7.79417 | 0.498971 | ||||||||
\(245\) | 3.95705 | + | 9.44582i | 0.252807 | + | 0.603472i | ||||
\(246\) | −38.2664 | − | 3.05378i | −2.43977 | − | 0.194702i | ||||
\(247\) | −0.245677 | − | 1.39330i | −0.0156320 | − | 0.0886537i | ||||
\(248\) | −4.93250 | + | 4.13886i | −0.313214 | + | 0.262818i | ||||
\(249\) | −10.2711 | − | 10.1155i | −0.650906 | − | 0.641046i | ||||
\(250\) | 20.1691 | − | 7.34094i | 1.27560 | − | 0.464282i | ||||
\(251\) | 3.91719 | − | 6.78477i | 0.247251 | − | 0.428251i | −0.715511 | − | 0.698601i | \(-0.753806\pi\) |
0.962762 | + | 0.270350i | \(0.0871395\pi\) | |||||||
\(252\) | −11.6864 | + | 1.48451i | −0.736171 | + | 0.0935151i | ||||
\(253\) | 2.17762 | + | 3.77174i | 0.136906 | + | 0.237127i | ||||
\(254\) | −18.1650 | − | 15.2423i | −1.13977 | − | 0.956384i | ||||
\(255\) | 2.85894 | + | 1.30667i | 0.179033 | + | 0.0818271i | ||||
\(256\) | 3.62171 | + | 20.5397i | 0.226357 | + | 1.28373i | ||||
\(257\) | −7.40124 | + | 6.21038i | −0.461677 | + | 0.387393i | −0.843748 | − | 0.536740i | \(-0.819656\pi\) |
0.382071 | + | 0.924133i | \(0.375211\pi\) | |||||||
\(258\) | 0.987350 | + | 10.3730i | 0.0614697 | + | 0.645797i | ||||
\(259\) | 6.99912 | + | 3.06295i | 0.434904 | + | 0.190322i | ||||
\(260\) | −1.06962 | − | 1.85264i | −0.0663351 | − | 0.114896i | ||||
\(261\) | −5.42698 | + | 15.6497i | −0.335922 | + | 0.968692i | ||||
\(262\) | 15.6706 | 0.968134 | ||||||||
\(263\) | 3.18277 | − | 18.0504i | 0.196258 | − | 1.11304i | −0.714358 | − | 0.699781i | \(-0.753281\pi\) |
0.910616 | − | 0.413254i | \(-0.135608\pi\) | |||||||
\(264\) | −7.33980 | + | 2.02686i | −0.451733 | + | 0.124744i | ||||
\(265\) | 1.18139 | + | 6.69998i | 0.0725720 | + | 0.411576i | ||||
\(266\) | −7.07774 | − | 0.449647i | −0.433964 | − | 0.0275696i | ||||
\(267\) | −0.604278 | + | 0.877171i | −0.0369812 | + | 0.0536820i | ||||
\(268\) | −3.38609 | + | 19.2035i | −0.206838 | + | 1.17304i | ||||
\(269\) | 2.28434 | + | 3.95659i | 0.139279 | + | 0.241238i | 0.927224 | − | 0.374508i | \(-0.122188\pi\) |
−0.787945 | + | 0.615745i | \(0.788855\pi\) | |||||||
\(270\) | 9.80154 | − | 10.2610i | 0.596503 | − | 0.624462i | ||||
\(271\) | −6.60709 | + | 11.4438i | −0.401352 | + | 0.695162i | −0.993889 | − | 0.110381i | \(-0.964793\pi\) |
0.592537 | + | 0.805543i | \(0.298126\pi\) | |||||||
\(272\) | −5.55504 | + | 2.02187i | −0.336824 | + | 0.122594i | ||||
\(273\) | 1.40995 | − | 4.28893i | 0.0853340 | − | 0.259578i | ||||
\(274\) | 3.32188 | − | 2.78739i | 0.200682 | − | 0.168392i | ||||
\(275\) | −12.2691 | − | 4.46558i | −0.739853 | − | 0.269285i | ||||
\(276\) | 2.36358 | − | 0.652694i | 0.142271 | − | 0.0392876i | ||||
\(277\) | −5.27455 | + | 29.9135i | −0.316917 | + | 1.79733i | 0.244345 | + | 0.969688i | \(0.421427\pi\) |
−0.561262 | + | 0.827638i | \(0.689684\pi\) | |||||||
\(278\) | 20.0560 | + | 34.7379i | 1.20288 | + | 2.08344i | ||||
\(279\) | −17.2193 | + | 10.2952i | −1.03089 | + | 0.616356i | ||||
\(280\) | 3.57597 | − | 1.05009i | 0.213705 | − | 0.0627546i | ||||
\(281\) | 3.38213 | − | 19.1810i | 0.201761 | − | 1.14424i | −0.700695 | − | 0.713461i | \(-0.747127\pi\) |
0.902456 | − | 0.430782i | \(-0.141762\pi\) | |||||||
\(282\) | 29.8205 | − | 21.2216i | 1.77579 | − | 1.26373i | ||||
\(283\) | 1.33894 | + | 7.59351i | 0.0795917 | + | 0.451387i | 0.998393 | + | 0.0566670i | \(0.0180473\pi\) |
−0.918801 | + | 0.394720i | \(0.870842\pi\) | |||||||
\(284\) | 2.99265 | + | 16.9722i | 0.177581 | + | 1.00711i | ||||
\(285\) | 2.96489 | − | 2.10994i | 0.175625 | − | 0.124982i | ||||
\(286\) | −1.45805 | + | 8.26899i | −0.0862161 | + | 0.488956i | ||||
\(287\) | −22.7364 | − | 21.6782i | −1.34209 | − | 1.27962i | ||||
\(288\) | 0.319141 | + | 20.9067i | 0.0188056 | + | 1.23194i | ||||
\(289\) | 7.73062 | + | 13.3898i | 0.454742 | + | 0.787637i | ||||
\(290\) | −2.61828 | + | 14.8490i | −0.153750 | + | 0.871962i | ||||
\(291\) | −9.53051 | + | 2.63181i | −0.558689 | + | 0.154280i | ||||
\(292\) | −13.8493 | − | 5.04073i | −0.810469 | − | 0.294987i | ||||
\(293\) | 10.4784 | − | 8.79240i | 0.612153 | − | 0.513657i | −0.283173 | − | 0.959069i | \(-0.591387\pi\) |
0.895326 | + | 0.445411i | \(0.146943\pi\) | |||||||
\(294\) | −19.2273 | − | 11.9367i | −1.12136 | − | 0.696163i | ||||
\(295\) | −8.67599 | + | 3.15780i | −0.505135 | + | 0.183854i | ||||
\(296\) | 1.39017 | − | 2.40784i | 0.0808017 | − | 0.139953i | ||||
\(297\) | −23.5814 | + | 2.60834i | −1.36833 | + | 0.151351i | ||||
\(298\) | 4.09946 | + | 7.10047i | 0.237475 | + | 0.411319i | ||||
\(299\) | −0.163184 | + | 0.925461i | −0.00943716 | + | 0.0535208i | ||||
\(300\) | −4.17026 | + | 6.05355i | −0.240770 | + | 0.349502i | ||||
\(301\) | −4.72319 | + | 7.09954i | −0.272240 | + | 0.409211i | ||||
\(302\) | −4.80448 | − | 27.2476i | −0.276467 | − | 1.56792i | ||||
\(303\) | −19.7728 | + | 5.46017i | −1.13592 | + | 0.313679i | ||||
\(304\) | −1.18838 | + | 6.73965i | −0.0681584 | + | 0.386546i | ||||
\(305\) | −7.68311 | −0.439934 | ||||||||
\(306\) | −6.82161 | + | 1.31049i | −0.389966 | + | 0.0749159i | ||||
\(307\) | 8.70668 | + | 15.0804i | 0.496916 | + | 0.860684i | 0.999994 | − | 0.00355714i | \(-0.00113228\pi\) |
−0.503077 | + | 0.864241i | \(0.667799\pi\) | |||||||
\(308\) | 16.4253 | + | 7.18801i | 0.935917 | + | 0.409575i | ||||
\(309\) | −2.10622 | − | 22.1278i | −0.119819 | − | 1.25881i | ||||
\(310\) | −13.9899 | + | 11.7389i | −0.794575 | + | 0.666727i | ||||
\(311\) | 5.19029 | + | 29.4356i | 0.294315 | + | 1.66914i | 0.669975 | + | 0.742383i | \(0.266305\pi\) |
−0.375661 | + | 0.926757i | \(0.622584\pi\) | |||||||
\(312\) | −1.49432 | − | 0.682977i | −0.0845992 | − | 0.0386660i | ||||
\(313\) | 2.42961 | + | 2.03869i | 0.137330 | + | 0.115233i | 0.708865 | − | 0.705344i | \(-0.249208\pi\) |
−0.571535 | + | 0.820578i | \(0.693652\pi\) | |||||||
\(314\) | 0.352998 | + | 0.611410i | 0.0199208 | + | 0.0345039i | ||||
\(315\) | 11.5198 | − | 1.46335i | 0.649069 | − | 0.0824507i | ||||
\(316\) | −10.5004 | + | 18.1873i | −0.590696 | + | 1.02311i | ||||
\(317\) | 6.27590 | − | 2.28424i | 0.352489 | − | 0.128296i | −0.159706 | − | 0.987165i | \(-0.551055\pi\) |
0.512195 | + | 0.858869i | \(0.328832\pi\) | |||||||
\(318\) | −10.7116 | − | 10.5493i | −0.600677 | − | 0.591578i | ||||
\(319\) | 19.3119 | − | 16.2046i | 1.08126 | − | 0.907284i | ||||
\(320\) | 0.883715 | + | 5.01180i | 0.0494012 | + | 0.280168i | ||||
\(321\) | 19.0754 | + | 1.52228i | 1.06469 | + | 0.0849656i | ||||
\(322\) | 4.31552 | + | 1.88855i | 0.240495 | + | 0.105245i | ||||
\(323\) | −1.78138 | −0.0991186 | ||||||||
\(324\) | −1.91692 | + | 13.2193i | −0.106495 | + | 0.734406i | ||||
\(325\) | −1.40861 | − | 2.43979i | −0.0781358 | − | 0.135335i | ||||
\(326\) | −7.38070 | − | 6.19315i | −0.408779 | − | 0.343007i | ||||
\(327\) | 18.7169 | − | 27.1694i | 1.03504 | − | 1.50247i | ||||
\(328\) | −8.75776 | + | 7.34863i | −0.483566 | + | 0.405760i | ||||
\(329\) | 29.8920 | + | 1.89903i | 1.64800 | + | 0.104697i | ||||
\(330\) | −20.8177 | + | 5.74872i | −1.14598 | + | 0.316457i | ||||
\(331\) | −4.68844 | + | 1.70645i | −0.257700 | + | 0.0937951i | −0.467640 | − | 0.883919i | \(-0.654895\pi\) |
0.209940 | + | 0.977714i | \(0.432673\pi\) | |||||||
\(332\) | 12.3529 | 0.677952 | ||||||||
\(333\) | 5.46648 | − | 6.72040i | 0.299561 | − | 0.368276i | ||||
\(334\) | 20.2987 | 1.11070 | ||||||||
\(335\) | 3.33784 | − | 18.9298i | 0.182366 | − | 1.03425i | ||||
\(336\) | −13.5045 | + | 17.1625i | −0.736732 | + | 0.936293i | ||||
\(337\) | 13.6802 | + | 4.97920i | 0.745209 | + | 0.271234i | 0.686588 | − | 0.727046i | \(-0.259107\pi\) |
0.0586210 | + | 0.998280i | \(0.481330\pi\) | |||||||
\(338\) | 17.2007 | − | 14.4331i | 0.935597 | − | 0.785059i | ||||
\(339\) | −11.0601 | + | 7.87081i | −0.600700 | + | 0.427484i | ||||
\(340\) | −2.53109 | + | 0.921243i | −0.137268 | + | 0.0499614i | ||||
\(341\) | 30.5343 | 1.65352 | ||||||||
\(342\) | −2.63473 | + | 7.59772i | −0.142470 | + | 0.410838i | ||||
\(343\) | −6.05855 | − | 17.5013i | −0.327131 | − | 0.944979i | ||||
\(344\) | 2.37718 | + | 1.99469i | 0.128169 | + | 0.107546i | ||||
\(345\) | −2.32991 | + | 0.643394i | −0.125438 | + | 0.0346392i | ||||
\(346\) | −17.3152 | + | 14.5291i | −0.930868 | + | 0.781091i | ||||
\(347\) | 8.17009 | + | 2.97367i | 0.438593 | + | 0.159635i | 0.551873 | − | 0.833928i | \(-0.313913\pi\) |
−0.113280 | + | 0.993563i | \(0.536136\pi\) | |||||||
\(348\) | −6.09642 | − | 12.8175i | −0.326802 | − | 0.687090i | ||||
\(349\) | −10.4169 | + | 3.79143i | −0.557602 | + | 0.202950i | −0.605421 | − | 0.795906i | \(-0.706995\pi\) |
0.0478190 | + | 0.998856i | \(0.484773\pi\) | |||||||
\(350\) | −13.5499 | + | 3.97894i | −0.724273 | + | 0.212683i | ||||
\(351\) | −4.25956 | − | 2.83950i | −0.227358 | − | 0.151561i | ||||
\(352\) | 15.9116 | − | 27.5596i | 0.848090 | − | 1.46893i | ||||
\(353\) | −17.7388 | − | 14.8846i | −0.944140 | − | 0.792228i | 0.0341608 | − | 0.999416i | \(-0.489124\pi\) |
−0.978301 | + | 0.207189i | \(0.933569\pi\) | |||||||
\(354\) | 11.5747 | − | 16.8019i | 0.615189 | − | 0.893010i | ||||
\(355\) | −2.95001 | − | 16.7304i | −0.156570 | − | 0.887955i | ||||
\(356\) | −0.158494 | − | 0.898863i | −0.00840015 | − | 0.0476396i | ||||
\(357\) | −5.00991 | − | 2.68604i | −0.265152 | − | 0.142160i | ||||
\(358\) | −17.6989 | − | 14.8511i | −0.935416 | − | 0.784907i | ||||
\(359\) | 1.03966 | + | 1.80074i | 0.0548710 | + | 0.0950394i | 0.892156 | − | 0.451727i | \(-0.149192\pi\) |
−0.837285 | + | 0.546766i | \(0.815859\pi\) | |||||||
\(360\) | −0.0645020 | − | 4.22548i | −0.00339955 | − | 0.222702i | ||||
\(361\) | 8.46888 | − | 14.6685i | 0.445730 | − | 0.772027i | ||||
\(362\) | −22.6923 | − | 19.0411i | −1.19268 | − | 1.00078i | ||||
\(363\) | 15.5130 | + | 7.09020i | 0.814221 | + | 0.372139i | ||||
\(364\) | 1.71801 | + | 3.46623i | 0.0900480 | + | 0.181680i | ||||
\(365\) | 13.6520 | + | 4.96891i | 0.714576 | + | 0.260085i | ||||
\(366\) | 13.8331 | − | 9.84425i | 0.723069 | − | 0.514567i | ||||
\(367\) | 14.3862 | − | 5.23615i | 0.750954 | − | 0.273325i | 0.0619470 | − | 0.998079i | \(-0.480269\pi\) |
0.689007 | + | 0.724754i | \(0.258047\pi\) | |||||||
\(368\) | 2.27284 | − | 3.93668i | 0.118480 | − | 0.205213i | ||||
\(369\) | −30.5733 | + | 18.2793i | −1.59158 | + | 0.951582i | ||||
\(370\) | 3.94289 | − | 6.82929i | 0.204981 | − | 0.355038i | ||||
\(371\) | −1.36394 | − | 12.2274i | −0.0708121 | − | 0.634814i | ||||
\(372\) | 4.32254 | − | 16.6388i | 0.224113 | − | 0.862684i | ||||
\(373\) | −28.8193 | − | 10.4894i | −1.49221 | − | 0.543119i | −0.538177 | − | 0.842832i | \(-0.680887\pi\) |
−0.954029 | + | 0.299713i | \(0.903109\pi\) | |||||||
\(374\) | 9.93457 | + | 3.61589i | 0.513704 | + | 0.186973i | ||||
\(375\) | 11.2987 | − | 16.4013i | 0.583464 | − | 0.846957i | ||||
\(376\) | 1.89280 | − | 10.7346i | 0.0976135 | − | 0.553594i | ||||
\(377\) | 5.43960 | 0.280153 | ||||||||
\(378\) | −18.8660 | + | 17.3949i | −0.970363 | + | 0.894696i | ||||
\(379\) | 33.1265 | 1.70159 | 0.850797 | − | 0.525495i | \(-0.176120\pi\) | ||||
0.850797 | + | 0.525495i | \(0.176120\pi\) | |||||||
\(380\) | −0.541474 | + | 3.07085i | −0.0277770 | + | 0.157531i | ||||
\(381\) | −21.9338 | − | 1.75039i | −1.12370 | − | 0.0896752i | ||||
\(382\) | −26.6658 | − | 9.70556i | −1.36434 | − | 0.496580i | ||||
\(383\) | 11.1640 | + | 4.06336i | 0.570453 | + | 0.207628i | 0.611110 | − | 0.791545i | \(-0.290723\pi\) |
−0.0406578 | + | 0.999173i | \(0.512945\pi\) | |||||||
\(384\) | 9.18943 | + | 9.05022i | 0.468946 | + | 0.461842i | ||||
\(385\) | −16.1912 | − | 7.08559i | −0.825182 | − | 0.361115i | ||||
\(386\) | −17.5469 | + | 30.3922i | −0.893115 | + | 1.54692i | ||||
\(387\) | 6.32735 | + | 7.31105i | 0.321637 | + | 0.371642i | ||||
\(388\) | 4.23612 | − | 7.33718i | 0.215056 | − | 0.372489i | ||||
\(389\) | −21.4924 | + | 7.82259i | −1.08971 | + | 0.396621i | −0.823512 | − | 0.567298i | \(-0.807989\pi\) |
−0.266195 | + | 0.963919i | \(0.585766\pi\) | |||||||
\(390\) | −4.23830 | − | 1.93711i | −0.214615 | − | 0.0980895i | ||||
\(391\) | 1.11187 | + | 0.404689i | 0.0562298 | + | 0.0204660i | ||||
\(392\) | −6.57421 | + | 1.48516i | −0.332048 | + | 0.0750117i | ||||
\(393\) | 11.8474 | − | 8.43108i | 0.597620 | − | 0.425292i | ||||
\(394\) | 0.373395 | + | 0.313316i | 0.0188114 | + | 0.0157846i | ||||
\(395\) | 10.3508 | − | 17.9281i | 0.520806 | − | 0.902063i | ||||
\(396\) | 12.8285 | − | 15.7712i | 0.644658 | − | 0.792532i | ||||
\(397\) | −11.1473 | − | 19.3077i | −0.559466 | − | 0.969023i | −0.997541 | − | 0.0700851i | \(-0.977673\pi\) |
0.438075 | − | 0.898938i | \(-0.355660\pi\) | |||||||
\(398\) | 2.34155 | + | 1.96479i | 0.117371 | + | 0.0984862i | ||||
\(399\) | −5.59286 | + | 3.46802i | −0.279993 | + | 0.173618i | ||||
\(400\) | 2.36638 | + | 13.4204i | 0.118319 | + | 0.671020i | ||||
\(401\) | 0.878529 | + | 4.98238i | 0.0438716 | + | 0.248808i | 0.998854 | − | 0.0478529i | \(-0.0152379\pi\) |
−0.954983 | + | 0.296661i | \(0.904127\pi\) | |||||||
\(402\) | 18.2448 | + | 38.3591i | 0.909970 | + | 1.91318i | ||||
\(403\) | 5.04704 | + | 4.23497i | 0.251411 | + | 0.210959i | ||||
\(404\) | 8.78859 | − | 15.2223i | 0.437249 | − | 0.757337i | ||||
\(405\) | 1.88960 | − | 13.0309i | 0.0938952 | − | 0.647513i | ||||
\(406\) | 6.42792 | − | 26.4988i | 0.319013 | − | 1.31511i | ||||
\(407\) | −12.3896 | + | 4.50944i | −0.614129 | + | 0.223525i | ||||
\(408\) | −1.17360 | + | 1.70360i | −0.0581017 | + | 0.0843405i | ||||
\(409\) | −21.3726 | − | 7.77898i | −1.05681 | − | 0.384646i | −0.245578 | − | 0.969377i | \(-0.578978\pi\) |
−0.811227 | + | 0.584731i | \(0.801200\pi\) | |||||||
\(410\) | −24.8394 | + | 20.8427i | −1.22673 | + | 1.02935i | ||||
\(411\) | 1.01175 | − | 3.89456i | 0.0499061 | − | 0.192105i | ||||
\(412\) | 14.5907 | + | 12.2430i | 0.718831 | + | 0.603171i | ||||
\(413\) | 16.0202 | − | 4.70435i | 0.788304 | − | 0.231486i | ||||
\(414\) | 3.37053 | − | 4.14367i | 0.165652 | − | 0.203650i | ||||
\(415\) | −12.1769 | −0.597738 | ||||||||
\(416\) | 6.45245 | − | 2.34850i | 0.316357 | − | 0.115145i | ||||
\(417\) | 33.8524 | + | 15.4722i | 1.65776 | + | 0.757678i | ||||
\(418\) | 9.37567 | − | 7.86712i | 0.458579 | − | 0.384793i | ||||
\(419\) | 28.5404 | + | 10.3878i | 1.39429 | + | 0.507480i | 0.926478 | − | 0.376349i | \(-0.122821\pi\) |
0.467811 | + | 0.883829i | \(0.345043\pi\) | |||||||
\(420\) | −6.15320 | + | 7.81993i | −0.300245 | + | 0.381574i | ||||
\(421\) | 5.43779 | − | 30.8393i | 0.265022 | − | 1.50301i | −0.503951 | − | 0.863732i | \(-0.668121\pi\) |
0.768973 | − | 0.639281i | \(-0.220768\pi\) | |||||||
\(422\) | −11.8986 | −0.579214 | ||||||||
\(423\) | 11.1274 | − | 32.0880i | 0.541034 | − | 1.56017i | ||||
\(424\) | −4.47737 | −0.217440 | ||||||||
\(425\) | −3.33327 | + | 1.21321i | −0.161687 | + | 0.0588493i | ||||
\(426\) | 26.7477 | + | 26.3425i | 1.29593 | + | 1.27630i | ||||
\(427\) | 13.8663 | + | 0.880919i | 0.671036 | + | 0.0426307i | ||||
\(428\) | −12.5612 | + | 10.5401i | −0.607168 | + | 0.509475i | ||||
\(429\) | 3.34655 | + | 7.03601i | 0.161573 | + | 0.339702i | ||||
\(430\) | 6.74233 | + | 5.65748i | 0.325144 | + | 0.272828i | ||||
\(431\) | −5.25777 | − | 9.10673i | −0.253258 | − | 0.438656i | 0.711163 | − | 0.703027i | \(-0.248169\pi\) |
−0.964421 | + | 0.264372i | \(0.914835\pi\) | |||||||
\(432\) | 14.6639 | + | 19.9539i | 0.705519 | + | 0.960033i | ||||
\(433\) | −6.33812 | −0.304591 | −0.152295 | − | 0.988335i | \(-0.548667\pi\) | ||||
−0.152295 | + | 0.988335i | \(0.548667\pi\) | |||||||
\(434\) | 26.5946 | − | 19.5821i | 1.27658 | − | 0.939970i | ||||
\(435\) | 6.00955 | + | 12.6349i | 0.288136 | + | 0.605796i | ||||
\(436\) | 4.90917 | + | 27.8413i | 0.235107 | + | 1.33336i | ||||
\(437\) | 1.04932 | − | 0.880484i | 0.0501958 | − | 0.0421193i | ||||
\(438\) | −30.9464 | + | 8.54572i | −1.47868 | + | 0.408330i | ||||
\(439\) | −19.0176 | + | 6.92183i | −0.907659 | + | 0.330361i | −0.753318 | − | 0.657657i | \(-0.771548\pi\) |
−0.154341 | + | 0.988018i | \(0.549326\pi\) | |||||||
\(440\) | −3.21591 | + | 5.57011i | −0.153312 | + | 0.265545i | ||||
\(441\) | −20.9585 | + | 1.32020i | −0.998022 | + | 0.0628665i | ||||
\(442\) | 1.14059 | + | 1.97556i | 0.0542523 | + | 0.0939677i | ||||
\(443\) | 6.80079 | + | 5.70654i | 0.323115 | + | 0.271126i | 0.789888 | − | 0.613252i | \(-0.210139\pi\) |
−0.466772 | + | 0.884377i | \(0.654583\pi\) | |||||||
\(444\) | 0.703388 | + | 7.38975i | 0.0333813 | + | 0.350702i | ||||
\(445\) | 0.156235 | + | 0.886055i | 0.00740627 | + | 0.0420030i | ||||
\(446\) | −8.26552 | + | 6.93559i | −0.391384 | + | 0.328410i | ||||
\(447\) | 6.91948 | + | 3.16254i | 0.327280 | + | 0.149583i | ||||
\(448\) | −1.02027 | − | 9.14647i | −0.0482032 | − | 0.432130i | ||||
\(449\) | 6.01834 | + | 10.4241i | 0.284023 | + | 0.491943i | 0.972372 | − | 0.233437i | \(-0.0749974\pi\) |
−0.688349 | + | 0.725380i | \(0.741664\pi\) | |||||||
\(450\) | 0.244408 | + | 16.0110i | 0.0115215 | + | 0.754767i | ||||
\(451\) | 54.2142 | 2.55285 | ||||||||
\(452\) | 2.01989 | − | 11.4553i | 0.0950075 | − | 0.538814i | ||||
\(453\) | −18.2920 | − | 18.0149i | −0.859433 | − | 0.846414i | ||||
\(454\) | −4.15608 | − | 23.5703i | −0.195055 | − | 1.10621i | ||||
\(455\) | −1.69353 | − | 3.41684i | −0.0793937 | − | 0.160184i | ||||
\(456\) | 1.02866 | + | 2.16272i | 0.0481713 | + | 0.101278i | ||||
\(457\) | −0.558880 | + | 3.16957i | −0.0261433 | + | 0.148266i | −0.995085 | − | 0.0990224i | \(-0.968428\pi\) |
0.968942 | + | 0.247289i | \(0.0795396\pi\) | |||||||
\(458\) | −5.46990 | − | 9.47414i | −0.255591 | − | 0.442697i | ||||
\(459\) | −4.45223 | + | 4.66092i | −0.207812 | + | 0.217553i | ||||
\(460\) | 1.03560 | − | 1.79370i | 0.0482849 | − | 0.0836319i | ||||
\(461\) | 32.0957 | − | 11.6819i | 1.49485 | − | 0.544080i | 0.540126 | − | 0.841584i | \(-0.318377\pi\) |
0.954720 | + | 0.297505i | \(0.0961544\pi\) | |||||||
\(462\) | 38.2303 | − | 7.98825i | 1.77863 | − | 0.371647i | ||||
\(463\) | 8.38189 | − | 7.03324i | 0.389539 | − | 0.326862i | −0.426894 | − | 0.904302i | \(-0.640392\pi\) |
0.816434 | + | 0.577439i | \(0.195948\pi\) | |||||||
\(464\) | −24.7255 | − | 8.99933i | −1.14785 | − | 0.417784i | ||||
\(465\) | −4.26095 | + | 16.4018i | −0.197597 | + | 0.760614i | ||||
\(466\) | −0.314897 | + | 1.78587i | −0.0145873 | + | 0.0827288i | ||||
\(467\) | 20.7032 | + | 35.8590i | 0.958031 | + | 1.65936i | 0.727275 | + | 0.686346i | \(0.240786\pi\) |
0.230755 | + | 0.973012i | \(0.425880\pi\) | |||||||
\(468\) | 4.30784 | − | 0.827575i | 0.199130 | − | 0.0382547i | ||||
\(469\) | −8.19447 | + | 33.7813i | −0.378385 | + | 1.55988i | ||||
\(470\) | 5.36849 | − | 30.4462i | 0.247630 | − | 1.40438i | ||||
\(471\) | 0.595825 | + | 0.272321i | 0.0274541 | + | 0.0125479i | ||||
\(472\) | −1.05513 | − | 5.98392i | −0.0485662 | − | 0.275432i | ||||
\(473\) | −2.55536 | − | 14.4922i | −0.117496 | − | 0.666350i | ||||
\(474\) | 4.33481 | + | 45.5412i | 0.199104 | + | 2.09178i | ||||
\(475\) | −0.713082 | + | 4.04409i | −0.0327184 | + | 0.185555i | ||||
\(476\) | 4.67367 | − | 1.37243i | 0.214217 | − | 0.0629051i | ||||
\(477\) | −13.7740 | − | 2.21251i | −0.630667 | − | 0.101304i | ||||
\(478\) | −22.1736 | − | 38.4057i | −1.01420 | − | 1.75664i | ||||
\(479\) | 1.44178 | − | 8.17673i | 0.0658765 | − | 0.373604i | −0.933990 | − | 0.357298i | \(-0.883698\pi\) |
0.999867 | − | 0.0163066i | \(-0.00519078\pi\) | |||||||
\(480\) | 12.5835 | + | 12.3929i | 0.574357 | + | 0.565656i | ||||
\(481\) | −2.67333 | − | 0.973012i | −0.121893 | − | 0.0443655i | ||||
\(482\) | 0.409274 | − | 0.343422i | 0.0186419 | − | 0.0156424i | ||||
\(483\) | 4.27872 | − | 0.894041i | 0.194688 | − | 0.0406803i | ||||
\(484\) | −13.7341 | + | 4.99880i | −0.624277 | + | 0.227218i | ||||
\(485\) | −4.17576 | + | 7.23263i | −0.189612 | + | 0.328417i | ||||
\(486\) | 13.2942 | + | 25.8828i | 0.603036 | + | 1.17407i | ||||
\(487\) | 11.9736 | + | 20.7388i | 0.542574 | + | 0.939766i | 0.998755 | + | 0.0498789i | \(0.0158835\pi\) |
−0.456181 | + | 0.889887i | \(0.650783\pi\) | |||||||
\(488\) | 0.878029 | − | 4.97955i | 0.0397465 | − | 0.225414i | ||||
\(489\) | −8.91202 | − | 0.711209i | −0.403015 | − | 0.0321620i | ||||
\(490\) | −18.6463 | + | 4.21231i | −0.842352 | + | 0.190293i | ||||
\(491\) | 6.82562 | + | 38.7100i | 0.308036 | + | 1.74696i | 0.608859 | + | 0.793278i | \(0.291627\pi\) |
−0.300823 | + | 0.953680i | \(0.597261\pi\) | |||||||
\(492\) | 7.67475 | − | 29.5426i | 0.346005 | − | 1.33188i | ||||
\(493\) | 1.18932 | − | 6.74498i | 0.0535643 | − | 0.303778i | ||||
\(494\) | 2.64085 | 0.118817 | ||||||||
\(495\) | −12.6457 | + | 15.5465i | −0.568384 | + | 0.698762i | ||||
\(496\) | −15.9347 | − | 27.5998i | −0.715491 | − | 1.23927i | ||||
\(497\) | 3.40586 | + | 30.5327i | 0.152774 | + | 1.36958i | ||||
\(498\) | 21.9239 | − | 15.6020i | 0.982435 | − | 0.699142i | ||||
\(499\) | −4.79773 | + | 4.02577i | −0.214776 | + | 0.180218i | −0.743828 | − | 0.668371i | \(-0.766992\pi\) |
0.529052 | + | 0.848589i | \(0.322548\pi\) | |||||||
\(500\) | 2.96350 | + | 16.8068i | 0.132532 | + | 0.751625i | ||||
\(501\) | 15.3463 | − | 10.9211i | 0.685622 | − | 0.487918i | ||||
\(502\) | 11.2023 | + | 9.39988i | 0.499985 | + | 0.419537i | ||||
\(503\) | −1.54894 | − | 2.68284i | −0.0690637 | − | 0.119622i | 0.829426 | − | 0.558617i | \(-0.188668\pi\) |
−0.898489 | + | 0.438995i | \(0.855335\pi\) | |||||||
\(504\) | −0.368068 | + | 7.63343i | −0.0163950 | + | 0.340020i | ||||
\(505\) | −8.66337 | + | 15.0054i | −0.385515 | + | 0.667731i | ||||
\(506\) | −7.63918 | + | 2.78044i | −0.339603 | + | 0.123605i | ||||
\(507\) | 5.23887 | − | 20.1661i | 0.232667 | − | 0.895609i | ||||
\(508\) | 14.4434 | − | 12.1195i | 0.640824 | − | 0.537715i | ||||
\(509\) | −0.840121 | − | 4.76457i | −0.0372377 | − | 0.211186i | 0.960512 | − | 0.278240i | \(-0.0897510\pi\) |
−0.997749 | + | 0.0670543i | \(0.978640\pi\) | |||||||
\(510\) | −3.32864 | + | 4.83187i | −0.147395 | + | 0.213959i | ||||
\(511\) | −24.0690 | − | 10.5330i | −1.06475 | − | 0.465954i | ||||
\(512\) | −24.0378 | −1.06233 | ||||||||
\(513\) | 2.09580 | + | 7.16159i | 0.0925318 | + | 0.316192i | ||||
\(514\) | −9.01718 | − | 15.6182i | −0.397731 | − | 0.688890i | ||||
\(515\) | −14.3828 | − | 12.0686i | −0.633781 | − | 0.531805i | ||||
\(516\) | −8.25887 | − | 0.659085i | −0.363577 | − | 0.0290146i | ||||
\(517\) | −39.5970 | + | 33.2258i | −1.74147 | + | 1.46127i | ||||
\(518\) | −7.89904 | + | 11.8732i | −0.347064 | + | 0.521680i | ||||
\(519\) | −5.27372 | + | 20.3003i | −0.231491 | + | 0.891082i | ||||
\(520\) | −1.30411 | + | 0.474658i | −0.0571891 | + | 0.0208151i | ||||
\(521\) | −30.4398 | −1.33359 | −0.666796 | − | 0.745240i | \(-0.732335\pi\) | ||||
−0.666796 | + | 0.745240i | \(0.732335\pi\) | |||||||
\(522\) | −27.0088 | − | 15.0486i | −1.18214 | − | 0.658660i | ||||
\(523\) | 33.7422 | 1.47545 | 0.737723 | − | 0.675104i | \(-0.235901\pi\) | ||||
0.737723 | + | 0.675104i | \(0.235901\pi\) | |||||||
\(524\) | −2.16367 | + | 12.2708i | −0.0945203 | + | 0.536051i | ||||
\(525\) | −8.10331 | + | 10.2983i | −0.353657 | + | 0.449454i | ||||
\(526\) | 32.1493 | + | 11.7014i | 1.40177 | + | 0.510204i | ||||
\(527\) | 6.35476 | − | 5.33228i | 0.276818 | − | 0.232278i | ||||
\(528\) | −3.57117 | − | 37.5185i | −0.155415 | − | 1.63278i | ||||
\(529\) | 20.7580 | − | 7.55528i | 0.902520 | − | 0.328490i | ||||
\(530\) | −12.6991 | −0.551612 | ||||||||
\(531\) | −0.288967 | − | 18.9300i | −0.0125401 | − | 0.821494i | ||||
\(532\) | 1.32933 | − | 5.48010i | 0.0576338 | − | 0.237593i | ||||
\(533\) | 8.96113 | + | 7.51928i | 0.388149 | + | 0.325696i | ||||
\(534\) | −1.41658 | − | 1.39512i | −0.0613015 | − | 0.0603729i | ||||
\(535\) | 12.3822 | − | 10.3899i | 0.535330 | − | 0.449195i | ||||
\(536\) | 11.8873 | + | 4.32662i | 0.513452 | + | 0.186881i | ||||
\(537\) | −21.3710 | − | 1.70548i | −0.922226 | − | 0.0735967i | ||||
\(538\) | −8.01357 | + | 2.91670i | −0.345490 | + | 0.125748i | ||||
\(539\) | 28.4091 | + | 14.6443i | 1.22367 | + | 0.630775i | ||||
\(540\) | 6.68147 | + | 9.09179i | 0.287525 | + | 0.391248i | ||||
\(541\) | 7.87553 | − | 13.6408i | 0.338596 | − | 0.586465i | −0.645573 | − | 0.763698i | \(-0.723382\pi\) |
0.984169 | + | 0.177234i | \(0.0567148\pi\) | |||||||
\(542\) | −18.8949 | − | 15.8547i | −0.811604 | − | 0.681017i | ||||
\(543\) | −27.4004 | − | 2.18664i | −1.17586 | − | 0.0938377i | ||||
\(544\) | −1.50131 | − | 8.51437i | −0.0643683 | − | 0.365050i | ||||
\(545\) | −4.83922 | − | 27.4446i | −0.207289 | − | 1.17560i | ||||
\(546\) | 7.42706 | + | 3.98199i | 0.317849 | + | 0.170414i | ||||
\(547\) | −16.6514 | − | 13.9722i | −0.711963 | − | 0.597408i | 0.213186 | − | 0.977012i | \(-0.431616\pi\) |
−0.925149 | + | 0.379603i | \(0.876060\pi\) | |||||||
\(548\) | 1.72399 | + | 2.98604i | 0.0736452 | + | 0.127557i | ||||
\(549\) | 5.16179 | − | 14.8850i | 0.220300 | − | 0.635275i | ||||
\(550\) | 12.1856 | − | 21.1060i | 0.519595 | − | 0.899964i | ||||
\(551\) | −6.07390 | − | 5.09661i | −0.258757 | − | 0.217123i | ||||
\(552\) | −0.150732 | − | 1.58358i | −0.00641556 | − | 0.0674015i | ||||
\(553\) | −20.7364 | + | 31.1694i | −0.881803 | + | 1.32546i | ||||
\(554\) | −53.2784 | − | 19.3918i | −2.26358 | − | 0.823877i | ||||
\(555\) | −0.693366 | − | 7.28446i | −0.0294317 | − | 0.309208i | ||||
\(556\) | −29.9705 | + | 10.9084i | −1.27103 | + | 0.462618i | ||||
\(557\) | −12.3971 | + | 21.4723i | −0.525280 | + | 0.909811i | 0.474287 | + | 0.880370i | \(0.342706\pi\) |
−0.999567 | + | 0.0294409i | \(0.990627\pi\) | |||||||
\(558\) | −13.3436 | − | 34.9902i | −0.564882 | − | 1.48125i | ||||
\(559\) | 1.58762 | − | 2.74984i | 0.0671493 | − | 0.116306i | ||||
\(560\) | 2.04499 | + | 18.3329i | 0.0864168 | + | 0.774707i | ||||
\(561\) | 9.45619 | − | 2.61129i | 0.399241 | − | 0.110249i | ||||
\(562\) | 34.1630 | + | 12.4343i | 1.44108 | + | 0.524509i | ||||
\(563\) | −17.9677 | − | 6.53971i | −0.757248 | − | 0.275616i | −0.0655957 | − | 0.997846i | \(-0.520895\pi\) |
−0.691652 | + | 0.722230i | \(0.743117\pi\) | |||||||
\(564\) | 12.5000 | + | 26.2809i | 0.526347 | + | 1.10663i | ||||
\(565\) | −1.99111 | + | 11.2921i | −0.0837665 | + | 0.475063i | ||||
\(566\) | −14.3927 | −0.604968 | ||||||||
\(567\) | −4.90439 | + | 23.3012i | −0.205965 | + | 0.978559i | ||||
\(568\) | 11.1803 | 0.469117 | ||||||||
\(569\) | −3.50374 | + | 19.8707i | −0.146884 | + | 0.833022i | 0.818951 | + | 0.573864i | \(0.194556\pi\) |
−0.965835 | + | 0.259158i | \(0.916555\pi\) | |||||||
\(570\) | 2.91756 | + | 6.13406i | 0.122203 | + | 0.256927i | ||||
\(571\) | −1.27023 | − | 0.462325i | −0.0531574 | − | 0.0193477i | 0.315305 | − | 0.948991i | \(-0.397893\pi\) |
−0.368462 | + | 0.929643i | \(0.620116\pi\) | |||||||
\(572\) | −6.27367 | − | 2.28343i | −0.262315 | − | 0.0954750i | ||||
\(573\) | −25.3818 | + | 7.00907i | −1.06034 | + | 0.292808i | ||||
\(574\) | 47.2192 | − | 34.7684i | 1.97089 | − | 1.45120i | ||||
\(575\) | 1.36380 | − | 2.36218i | 0.0568746 | − | 0.0985096i | ||||
\(576\) | −10.3034 | − | 1.65503i | −0.429307 | − | 0.0689595i | ||||
\(577\) | −6.07544 | + | 10.5230i | −0.252924 | + | 0.438077i | −0.964330 | − | 0.264705i | \(-0.914726\pi\) |
0.711406 | + | 0.702782i | \(0.248059\pi\) | |||||||
\(578\) | −27.1194 | + | 9.87065i | −1.12802 | + | 0.410565i | ||||
\(579\) | 3.08566 | + | 32.4178i | 0.128236 | + | 1.34724i | ||||
\(580\) | −11.2659 | − | 4.10045i | −0.467791 | − | 0.170262i | ||||
\(581\) | 21.9764 | + | 1.39616i | 0.911737 | + | 0.0579223i | ||||
\(582\) | −1.74876 | − | 18.3724i | −0.0724885 | − | 0.761560i | ||||
\(583\) | 16.2649 | + | 13.6479i | 0.673623 | + | 0.565237i | ||||
\(584\) | −4.78058 | + | 8.28021i | −0.197822 | + | 0.342638i | ||||
\(585\) | −4.24646 | + | 0.815783i | −0.175570 | + | 0.0337285i | ||||
\(586\) | 12.7661 | + | 22.1116i | 0.527365 | + | 0.913422i | ||||
\(587\) | −36.1996 | − | 30.3750i | −1.49412 | − | 1.25371i | −0.889282 | − | 0.457360i | \(-0.848795\pi\) |
−0.604834 | − | 0.796352i | \(-0.706761\pi\) | |||||||
\(588\) | 12.0017 | − | 13.4077i | 0.494943 | − | 0.552924i | ||||
\(589\) | −1.66763 | − | 9.45762i | −0.0687136 | − | 0.389694i | ||||
\(590\) | −2.99263 | − | 16.9721i | −0.123205 | − | 0.698728i | ||||
\(591\) | 0.450865 | + | 0.0359806i | 0.0185461 | + | 0.00148004i | ||||
\(592\) | 10.5417 | + | 8.84557i | 0.433263 | + | 0.363551i | ||||
\(593\) | 5.30960 | − | 9.19649i | 0.218039 | − | 0.377655i | −0.736169 | − | 0.676797i | \(-0.763367\pi\) |
0.954208 | + | 0.299143i | \(0.0967006\pi\) | |||||||
\(594\) | 2.84871 | − | 44.1936i | 0.116884 | − | 1.81328i | ||||
\(595\) | −4.60708 | + | 1.35287i | −0.188872 | + | 0.0554623i | ||||
\(596\) | −6.12600 | + | 2.22968i | −0.250931 | + | 0.0913314i | ||||
\(597\) | 2.82736 | + | 0.225633i | 0.115716 | + | 0.00923454i | ||||
\(598\) | −1.64832 | − | 0.599941i | −0.0674050 | − | 0.0245334i | ||||
\(599\) | 7.85627 | − | 6.59219i | 0.320999 | − | 0.269350i | −0.468022 | − | 0.883717i | \(-0.655033\pi\) |
0.789020 | + | 0.614367i | \(0.210589\pi\) | |||||||
\(600\) | 3.39771 | + | 3.34624i | 0.138711 | + | 0.136610i | ||||
\(601\) | −19.1642 | − | 16.0807i | −0.781724 | − | 0.655945i | 0.161958 | − | 0.986798i | \(-0.448219\pi\) |
−0.943682 | + | 0.330853i | \(0.892664\pi\) | |||||||
\(602\) | −11.5197 | − | 10.9835i | −0.469508 | − | 0.447655i | ||||
\(603\) | 34.4314 | + | 19.1843i | 1.40216 | + | 0.781246i | ||||
\(604\) | 21.9994 | 0.895143 | ||||||||
\(605\) | 13.5384 | − | 4.92757i | 0.550414 | − | 0.200334i | ||||
\(606\) | −3.62812 | − | 38.1168i | −0.147382 | − | 1.54839i | ||||
\(607\) | 0.503454 | − | 0.422448i | 0.0204346 | − | 0.0171466i | −0.632513 | − | 0.774550i | \(-0.717977\pi\) |
0.652948 | + | 0.757403i | \(0.273532\pi\) | |||||||
\(608\) | −9.40528 | − | 3.42324i | −0.381434 | − | 0.138831i | ||||
\(609\) | −9.39720 | − | 23.4921i | −0.380794 | − | 0.951947i | ||||
\(610\) | 2.49033 | − | 14.1234i | 0.100831 | − | 0.571839i | ||||
\(611\) | −11.1533 | −0.451214 | ||||||||
\(612\) | −0.0843020 | − | 5.52257i | −0.00340770 | − | 0.223237i | ||||
\(613\) | −27.7448 | −1.12060 | −0.560301 | − | 0.828289i | \(-0.689314\pi\) | ||||
−0.560301 | + | 0.828289i | \(0.689314\pi\) | |||||||
\(614\) | −30.5435 | + | 11.1169i | −1.23263 | + | 0.448642i | ||||
\(615\) | −7.56540 | + | 29.1217i | −0.305066 | + | 1.17430i | ||||
\(616\) | 6.44263 | − | 9.68406i | 0.259581 | − | 0.390182i | ||||
\(617\) | 12.7820 | − | 10.7253i | 0.514582 | − | 0.431786i | −0.348156 | − | 0.937437i | \(-0.613192\pi\) |
0.862738 | + | 0.505651i | \(0.168748\pi\) | |||||||
\(618\) | 41.3589 | + | 3.30057i | 1.66370 | + | 0.132769i | ||||
\(619\) | −7.28444 | − | 6.11237i | −0.292787 | − | 0.245677i | 0.484548 | − | 0.874765i | \(-0.338984\pi\) |
−0.777334 | + | 0.629088i | \(0.783429\pi\) | |||||||
\(620\) | −7.26050 | − | 12.5755i | −0.291589 | − | 0.505046i | ||||
\(621\) | 0.318826 | − | 4.94612i | 0.0127941 | − | 0.198481i | ||||
\(622\) | −55.7920 | −2.23705 | ||||||||
\(623\) | −0.180377 | − | 1.61704i | −0.00722667 | − | 0.0647854i | ||||
\(624\) | 4.61337 | − | 6.69678i | 0.184683 | − | 0.268086i | ||||
\(625\) | −0.438492 | − | 2.48681i | −0.0175397 | − | 0.0994725i | ||||
\(626\) | −4.53510 | + | 3.80540i | −0.181259 | + | 0.152094i | ||||
\(627\) | 2.85557 | − | 10.9920i | 0.114041 | − | 0.438979i | ||||
\(628\) | −0.527500 | + | 0.191994i | −0.0210495 | + | 0.00766141i | ||||
\(629\) | −1.79101 | + | 3.10213i | −0.0714124 | + | 0.123690i | ||||
\(630\) | −1.04394 | + | 21.6505i | −0.0415916 | + | 0.862577i | ||||
\(631\) | −22.9465 | − | 39.7445i | −0.913486 | − | 1.58220i | −0.809103 | − | 0.587667i | \(-0.800047\pi\) |
−0.104383 | − | 0.994537i | \(-0.533287\pi\) | |||||||
\(632\) | 10.4366 | + | 8.75737i | 0.415147 | + | 0.348349i | ||||
\(633\) | −8.99561 | + | 6.40166i | −0.357544 | + | 0.254443i | ||||
\(634\) | 2.16476 | + | 12.2770i | 0.0859737 | + | 0.487581i | ||||
\(635\) | −14.2376 | + | 11.9468i | −0.565003 | + | 0.474094i | ||||
\(636\) | 9.73957 | − | 6.93109i | 0.386199 | − | 0.274836i | ||||
\(637\) | 2.66467 | + | 6.36079i | 0.105578 | + | 0.252024i | ||||
\(638\) | 23.5283 | + | 40.7523i | 0.931495 | + | 1.61340i | ||||
\(639\) | 34.3947 | + | 5.52480i | 1.36063 | + | 0.218558i | ||||
\(640\) | 10.8945 | 0.430641 | ||||||||
\(641\) | −4.98155 | + | 28.2518i | −0.196759 | + | 1.11588i | 0.713132 | + | 0.701030i | \(0.247276\pi\) |
−0.909891 | + | 0.414847i | \(0.863835\pi\) | |||||||
\(642\) | −8.98125 | + | 34.5717i | −0.354462 | + | 1.36444i | ||||
\(643\) | 0.172431 | + | 0.977906i | 0.00680002 | + | 0.0385648i | 0.988019 | − | 0.154332i | \(-0.0493227\pi\) |
−0.981219 | + | 0.192897i | \(0.938212\pi\) | |||||||
\(644\) | −2.07467 | + | 3.11849i | −0.0817536 | + | 0.122886i | ||||
\(645\) | 8.14119 | + | 0.649694i | 0.320559 | + | 0.0255817i | ||||
\(646\) | 0.577400 | − | 3.27460i | 0.0227175 | − | 0.128837i | ||||
\(647\) | 8.87356 | + | 15.3695i | 0.348856 | + | 0.604236i | 0.986046 | − | 0.166470i | \(-0.0532370\pi\) |
−0.637191 | + | 0.770706i | \(0.719904\pi\) | |||||||
\(648\) | 8.22962 | + | 2.71386i | 0.323290 | + | 0.106611i | ||||
\(649\) | −14.4072 | + | 24.9540i | −0.565531 | + | 0.979528i | ||||
\(650\) | 4.94148 | − | 1.79855i | 0.193821 | − | 0.0705451i | ||||
\(651\) | 9.57061 | − | 29.1129i | 0.375102 | − | 1.14102i | ||||
\(652\) | 5.86857 | − | 4.92432i | 0.229831 | − | 0.192851i | ||||
\(653\) | 17.1213 | + | 6.23165i | 0.670008 | + | 0.243863i | 0.654552 | − | 0.756017i | \(-0.272857\pi\) |
0.0154569 | + | 0.999881i | \(0.495080\pi\) | |||||||
\(654\) | 43.8771 | + | 43.2124i | 1.71573 | + | 1.68974i | ||||
\(655\) | 2.13284 | − | 12.0959i | 0.0833370 | − | 0.472627i | ||||
\(656\) | −28.2925 | − | 49.0040i | −1.10463 | − | 1.91328i | ||||
\(657\) | −18.7984 | + | 23.1105i | −0.733397 | + | 0.901627i | ||||
\(658\) | −13.1798 | + | 54.3330i | −0.513800 | + | 2.11812i | ||||
\(659\) | −0.516836 | + | 2.93112i | −0.0201331 | + | 0.114180i | −0.993218 | − | 0.116266i | \(-0.962907\pi\) |
0.973085 | + | 0.230446i | \(0.0740186\pi\) | |||||||
\(660\) | −1.62717 | − | 17.0949i | −0.0633373 | − | 0.665418i | ||||
\(661\) | 4.25035 | + | 24.1049i | 0.165320 | + | 0.937574i | 0.948734 | + | 0.316075i | \(0.102365\pi\) |
−0.783415 | + | 0.621499i | \(0.786524\pi\) | |||||||
\(662\) | −1.61720 | − | 9.17158i | −0.0628541 | − | 0.356463i | ||||
\(663\) | 1.92520 | + | 0.879910i | 0.0747685 | + | 0.0341729i | ||||
\(664\) | 1.39158 | − | 7.89202i | 0.0540036 | − | 0.306270i | ||||
\(665\) | −1.31039 | + | 5.40202i | −0.0508147 | + | 0.209481i | ||||
\(666\) | 10.5818 | + | 12.2270i | 0.410038 | + | 0.473785i | ||||
\(667\) | 2.63328 | + | 4.56097i | 0.101961 | + | 0.176602i | ||||
\(668\) | −2.80268 | + | 15.8948i | −0.108439 | + | 0.614987i | ||||
\(669\) | −2.51745 | + | 9.69048i | −0.0973302 | + | 0.374656i | ||||
\(670\) | 33.7156 | + | 12.2715i | 1.30255 | + | 0.474089i | ||||
\(671\) | −18.3682 | + | 15.4128i | −0.709097 | + | 0.595003i | ||||
\(672\) | −21.2895 | − | 23.8091i | −0.821259 | − | 0.918458i | ||||
\(673\) | 23.3965 | − | 8.51562i | 0.901868 | − | 0.328253i | 0.150867 | − | 0.988554i | \(-0.451794\pi\) |
0.751001 | + | 0.660301i | \(0.229571\pi\) | |||||||
\(674\) | −13.5871 | + | 23.5336i | −0.523356 | + | 0.906480i | ||||
\(675\) | 8.79901 | + | 11.9732i | 0.338674 | + | 0.460849i | ||||
\(676\) | 8.92685 | + | 15.4618i | 0.343340 | + | 0.594683i | ||||
\(677\) | 1.53657 | − | 8.71430i | 0.0590550 | − | 0.334918i | −0.940938 | − | 0.338578i | \(-0.890054\pi\) |
0.999993 | + | 0.00366049i | \(0.00116517\pi\) | |||||||
\(678\) | −10.8835 | − | 22.8822i | −0.417978 | − | 0.878785i | ||||
\(679\) | 8.36556 | − | 12.5745i | 0.321041 | − | 0.482564i | ||||
\(680\) | 0.303432 | + | 1.72085i | 0.0116361 | + | 0.0659916i | ||||
\(681\) | −15.8234 | − | 15.5837i | −0.606353 | − | 0.597168i | ||||
\(682\) | −9.89709 | + | 56.1292i | −0.378979 | + | 2.14930i | ||||
\(683\) | 6.28032 | 0.240310 | 0.120155 | − | 0.992755i | \(-0.461661\pi\) | ||||
0.120155 | + | 0.992755i | \(0.461661\pi\) | |||||||
\(684\) | −5.58557 | − | 3.11214i | −0.213570 | − | 0.118996i | ||||
\(685\) | −1.69943 | − | 2.94349i | −0.0649317 | − | 0.112465i | ||||
\(686\) | 34.1352 | − | 5.46435i | 1.30329 | − | 0.208630i | ||||
\(687\) | −9.23264 | − | 4.21977i | −0.352247 | − | 0.160994i | ||||
\(688\) | −11.7658 | + | 9.87272i | −0.448569 | + | 0.376394i | ||||
\(689\) | 0.795542 | + | 4.51174i | 0.0303077 | + | 0.171884i | ||||
\(690\) | −0.427516 | − | 4.49146i | −0.0162753 | − | 0.170987i | ||||
\(691\) | −8.61563 | − | 7.22938i | −0.327754 | − | 0.275018i | 0.464030 | − | 0.885820i | \(-0.346403\pi\) |
−0.791784 | + | 0.610801i | \(0.790847\pi\) | |||||||
\(692\) | −8.98622 | − | 15.5646i | −0.341605 | − | 0.591677i | ||||
\(693\) | 24.6052 | − | 26.6079i | 0.934674 | − | 1.01075i | ||||
\(694\) | −8.11448 | + | 14.0547i | −0.308022 | + | 0.533509i | ||||
\(695\) | 29.5435 | − | 10.7529i | 1.12065 | − | 0.407882i | ||||
\(696\) | −8.87564 | + | 2.45097i | −0.336430 | + | 0.0929038i | ||||
\(697\) | 11.2830 | − | 9.46757i | 0.427374 | − | 0.358610i | ||||
\(698\) | −3.59312 | − | 20.3776i | −0.136001 | − | 0.771302i | ||||
\(699\) | 0.722762 | + | 1.51958i | 0.0273374 | + | 0.0574758i | ||||
\(700\) | −1.24482 | − | 11.1596i | −0.0470499 | − | 0.421791i | ||||
\(701\) | 11.0400 | 0.416976 | 0.208488 | − | 0.978025i | \(-0.433146\pi\) | ||||
0.208488 | + | 0.978025i | \(0.433146\pi\) | |||||||
\(702\) | 6.60033 | − | 6.90970i | 0.249113 | − | 0.260790i | ||||
\(703\) | 2.07340 | + | 3.59124i | 0.0781999 | + | 0.135446i | ||||
\(704\) | 12.1667 | + | 10.2090i | 0.458549 | + | 0.384768i | ||||
\(705\) | −12.3219 | − | 25.9064i | −0.464071 | − | 0.975692i | ||||
\(706\) | 33.1111 | − | 27.7835i | 1.24615 | − | 1.04565i | ||||
\(707\) | 17.3559 | − | 26.0880i | 0.652735 | − | 0.981140i | ||||
\(708\) | 11.5585 | + | 11.3834i | 0.434394 | + | 0.427814i | ||||
\(709\) | 17.8195 | − | 6.48575i | 0.669224 | − | 0.243577i | 0.0150100 | − | 0.999887i | \(-0.495222\pi\) |
0.654214 | + | 0.756310i | \(0.273000\pi\) | |||||||
\(710\) | 31.7105 | 1.19008 | ||||||||
\(711\) | 27.7793 | + | 32.0980i | 1.04180 | + | 1.20377i | ||||
\(712\) | −0.592121 | −0.0221907 | ||||||||
\(713\) | −1.10768 | + | 6.28195i | −0.0414828 | + | 0.235261i | ||||
\(714\) | 6.56145 | − | 8.33876i | 0.245556 | − | 0.312070i | ||||
\(715\) | 6.18428 | + | 2.25089i | 0.231279 | + | 0.0841786i | ||||
\(716\) | 14.0728 | − | 11.8085i | 0.525926 | − | 0.441304i | ||||
\(717\) | −37.4267 | − | 17.1059i | −1.39773 | − | 0.638830i | ||||
\(718\) | −3.64717 | + | 1.32746i | −0.136111 | + | 0.0495404i | ||||
\(719\) | 3.54116 | 0.132063 | 0.0660316 | − | 0.997818i | \(-0.478966\pi\) | ||||
0.0660316 | + | 0.997818i | \(0.478966\pi\) | |||||||
\(720\) | 20.6518 | + | 3.31728i | 0.769646 | + | 0.123628i | ||||
\(721\) | 24.5739 | + | 23.4301i | 0.915179 | + | 0.872583i | ||||
\(722\) | 24.2192 | + | 20.3223i | 0.901345 | + | 0.756318i | ||||
\(723\) | 0.124654 | − | 0.479832i | 0.00463592 | − | 0.0178452i | ||||
\(724\) | 18.0432 | − | 15.1400i | 0.670569 | − | 0.562674i | ||||
\(725\) | −14.8364 | − | 5.40000i | −0.551009 | − | 0.200551i | ||||
\(726\) | −18.0617 | + | 26.2184i | −0.670333 | + | 0.973057i | ||||
\(727\) | 34.1662 | − | 12.4355i | 1.26715 | − | 0.461206i | 0.380990 | − | 0.924579i | \(-0.375583\pi\) |
0.886163 | + | 0.463373i | \(0.153361\pi\) | |||||||
\(728\) | 2.40805 | − | 0.707124i | 0.0892481 | − | 0.0262078i | ||||
\(729\) | 23.9761 | + | 12.4155i | 0.888005 | + | 0.459833i | ||||
\(730\) | −13.5590 | + | 23.4850i | −0.501843 | + | 0.869217i | ||||
\(731\) | −3.06262 | − | 2.56985i | −0.113275 | − | 0.0950492i | ||||
\(732\) | 5.79851 | + | 12.1912i | 0.214319 | + | 0.450598i | ||||
\(733\) | −3.73447 | − | 21.1792i | −0.137936 | − | 0.782272i | −0.972770 | − | 0.231771i | \(-0.925548\pi\) |
0.834835 | − | 0.550501i | \(-0.185563\pi\) | |||||||
\(734\) | 4.96227 | + | 28.1425i | 0.183161 | + | 1.03876i | ||||
\(735\) | −11.8307 | + | 13.2166i | −0.436382 | + | 0.487503i | ||||
\(736\) | 5.09275 | + | 4.27333i | 0.187721 | + | 0.157517i | ||||
\(737\) | −29.9945 | − | 51.9519i | −1.10486 | − | 1.91367i | ||||
\(738\) | −23.6919 | − | 62.1258i | −0.872112 | − | 2.28688i | ||||
\(739\) | −3.59765 | + | 6.23131i | −0.132342 | + | 0.229223i | −0.924579 | − | 0.380991i | \(-0.875583\pi\) |
0.792237 | + | 0.610213i | \(0.208916\pi\) | |||||||
\(740\) | 4.80323 | + | 4.03039i | 0.176570 | + | 0.148160i | ||||
\(741\) | 1.99655 | − | 1.42083i | 0.0733450 | − | 0.0521954i | ||||
\(742\) | 22.9189 | + | 1.45603i | 0.841380 | + | 0.0534525i | ||||
\(743\) | −5.28136 | − | 1.92226i | −0.193754 | − | 0.0705207i | 0.243321 | − | 0.969946i | \(-0.421763\pi\) |
−0.437075 | + | 0.899425i | \(0.643985\pi\) | |||||||
\(744\) | −10.1433 | − | 4.63599i | −0.371872 | − | 0.169964i | ||||
\(745\) | 6.03872 | − | 2.19791i | 0.221242 | − | 0.0805253i | ||||
\(746\) | 28.6232 | − | 49.5768i | 1.04797 | − | 1.81513i | ||||
\(747\) | 8.18084 | − | 23.5910i | 0.299321 | − | 0.863149i | ||||
\(748\) | −4.20308 | + | 7.27996i | −0.153680 | + | 0.266182i | ||||
\(749\) | −23.5383 | + | 17.3317i | −0.860072 | + | 0.633287i | ||||
\(750\) | 26.4871 | + | 26.0859i | 0.967173 | + | 0.952522i | ||||
\(751\) | −40.3558 | − | 14.6883i | −1.47260 | − | 0.535984i | −0.523797 | − | 0.851843i | \(-0.675485\pi\) |
−0.948806 | + | 0.315860i | \(0.897707\pi\) | |||||||
\(752\) | 50.6969 | + | 18.4522i | 1.84873 | + | 0.672881i | ||||
\(753\) | 13.5265 | + | 1.07946i | 0.492935 | + | 0.0393378i | ||||
\(754\) | −1.76314 | + | 9.99926i | −0.0642098 | + | 0.364152i | ||||
\(755\) | −21.6859 | −0.789232 | ||||||||
\(756\) | −11.0161 | − | 17.1747i | −0.400652 | − | 0.624637i | ||||
\(757\) | −18.7190 | −0.680354 | −0.340177 | − | 0.940361i | \(-0.610487\pi\) | ||||
−0.340177 | + | 0.940361i | \(0.610487\pi\) | |||||||
\(758\) | −10.7373 | + | 60.8943i | −0.389997 | + | 2.21178i | ||||
\(759\) | −4.27948 | + | 6.21210i | −0.155335 | + | 0.225485i | ||||
\(760\) | 1.90091 | + | 0.691876i | 0.0689533 | + | 0.0250970i | ||||
\(761\) | 11.7685 | + | 4.28340i | 0.426609 | + | 0.155273i | 0.546397 | − | 0.837526i | \(-0.315999\pi\) |
−0.119787 | + | 0.992800i | \(0.538221\pi\) | |||||||
\(762\) | 10.3270 | − | 39.7521i | 0.374109 | − | 1.44007i | ||||
\(763\) | 5.58699 | + | 50.0861i | 0.202263 | + | 1.81324i | ||||
\(764\) | 11.2817 | − | 19.5404i | 0.408157 | − | 0.706948i | ||||
\(765\) | 0.0831008 | + | 5.44388i | 0.00300452 | + | 0.196824i | ||||
\(766\) | −11.0880 | + | 19.2050i | −0.400626 | + | 0.693904i | ||||
\(767\) | −5.84238 | + | 2.12645i | −0.210956 | + | 0.0767818i | ||||
\(768\) | −29.4326 | + | 20.9455i | −1.06206 | + | 0.755806i | ||||
\(769\) | 18.4388 | + | 6.71117i | 0.664920 | + | 0.242011i | 0.652359 | − | 0.757910i | \(-0.273779\pi\) |
0.0125608 | + | 0.999921i | \(0.496002\pi\) | |||||||
\(770\) | 18.2731 | − | 27.4667i | 0.658516 | − | 0.989830i | ||||
\(771\) | −15.2201 | − | 6.95633i | −0.548138 | − | 0.250526i | ||||
\(772\) | −21.3757 | − | 17.9363i | −0.769327 | − | 0.645542i | ||||
\(773\) | −5.39853 | + | 9.35052i | −0.194171 | + | 0.336315i | −0.946629 | − | 0.322326i | \(-0.895535\pi\) |
0.752457 | + | 0.658641i | \(0.228868\pi\) | |||||||
\(774\) | −15.4903 | + | 9.26143i | −0.556788 | + | 0.332895i | ||||
\(775\) | −9.56154 | − | 16.5611i | −0.343461 | − | 0.594891i | ||||
\(776\) | −4.21038 | − | 3.53293i | −0.151144 | − | 0.126825i | ||||
\(777\) | 0.416157 | + | 13.2263i | 0.0149295 | + | 0.474490i | ||||
\(778\) | −7.41343 | − | 42.0436i | −0.265784 | − | 1.50734i | ||||
\(779\) | −2.96092 | − | 16.7922i | −0.106086 | − | 0.601643i | ||||
\(780\) | 2.10203 | − | 3.05132i | 0.0752649 | − | 0.109255i | ||||
\(781\) | −40.6147 | − | 34.0798i | −1.45331 | − | 1.21947i | ||||
\(782\) | −1.10431 | + | 1.91271i | −0.0394899 | + | 0.0683985i | ||||
\(783\) | −28.5157 | + | 3.15413i | −1.01907 | + | 0.112719i | ||||
\(784\) | −1.58876 | − | 33.3212i | −0.0567415 | − | 1.19004i | ||||
\(785\) | 0.519984 | − | 0.189259i | 0.0185590 | − | 0.00675493i | ||||
\(786\) | 11.6582 | + | 24.5110i | 0.415835 | + | 0.874279i | ||||
\(787\) | −39.4055 | − | 14.3424i | −1.40465 | − | 0.511252i | −0.475097 | − | 0.879933i | \(-0.657587\pi\) |
−0.929556 | + | 0.368681i | \(0.879809\pi\) | |||||||
\(788\) | −0.296895 | + | 0.249125i | −0.0105765 | + | 0.00887471i | ||||
\(789\) | 30.6012 | − | 8.45039i | 1.08943 | − | 0.300842i | ||||
\(790\) | 29.6012 | + | 24.8383i | 1.05316 | + | 0.883708i | ||||
\(791\) | 4.88821 | − | 20.1514i | 0.173805 | − | 0.716502i | ||||
\(792\) | −8.63076 | − | 9.97257i | −0.306681 | − | 0.354360i | ||||
\(793\) | −5.17379 | −0.183727 | ||||||||
\(794\) | 39.1052 | − | 14.2331i | 1.38779 | − | 0.505115i | ||||
\(795\) | −9.60079 | + | 6.83233i | −0.340505 | + | 0.242318i | ||||
\(796\) | −1.86182 | + | 1.56225i | −0.0659905 | + | 0.0553726i | ||||
\(797\) | −12.2053 | − | 4.44238i | −0.432335 | − | 0.157357i | 0.116680 | − | 0.993170i | \(-0.462775\pi\) |
−0.549015 | + | 0.835812i | \(0.684997\pi\) | |||||||
\(798\) | −4.56222 | − | 11.4051i | −0.161501 | − | 0.403736i | ||||
\(799\) | −2.43857 | + | 13.8298i | −0.0862705 | + | 0.489265i | ||||
\(800\) | −19.9303 | −0.704642 | ||||||||
\(801\) | −1.82157 | − | 0.292599i | −0.0643621 | − | 0.0103385i | ||||
\(802\) | −9.44356 | −0.333464 | ||||||||
\(803\) | 42.6060 | − | 15.5073i | 1.50353 | − | 0.547241i | ||||
\(804\) | −32.5560 | + | 8.99020i | −1.14816 | + | 0.317060i | ||||
\(805\) | 2.04511 | − | 3.07406i | 0.0720808 | − | 0.108346i | ||||
\(806\) | −9.42078 | + | 7.90497i | −0.331833 | + | 0.278441i | ||||
\(807\) | −4.48921 | + | 6.51655i | −0.158028 | + | 0.229393i | ||||
\(808\) | −8.73519 | − | 7.32969i | −0.307303 | − | 0.257858i | ||||
\(809\) | −14.8787 | − | 25.7707i | −0.523109 | − | 0.906051i | −0.999638 | − | 0.0268927i | \(-0.991439\pi\) |
0.476529 | − | 0.879159i | \(-0.341895\pi\) | |||||||
\(810\) | 23.3415 | + | 7.69727i | 0.820136 | + | 0.270454i | ||||
\(811\) | 38.9051 | 1.36614 | 0.683072 | − | 0.730351i | \(-0.260643\pi\) | ||||
0.683072 | + | 0.730351i | \(0.260643\pi\) | |||||||
\(812\) | 19.8622 | + | 8.69209i | 0.697028 | + | 0.305033i | ||||
\(813\) | −22.8151 | − | 1.82072i | −0.800160 | − | 0.0638554i | ||||
\(814\) | −4.27357 | − | 24.2366i | −0.149789 | − | 0.849493i | ||||
\(815\) | −5.78496 | + | 4.85415i | −0.202638 | + | 0.170034i | ||||
\(816\) | −7.29518 | − | 7.18467i | −0.255382 | − | 0.251514i | ||||
\(817\) | −4.34921 | + | 1.58298i | −0.152160 | + | 0.0553816i | ||||
\(818\) | 21.2271 | − | 36.7664i | 0.742188 | − | 1.28551i | ||||
\(819\) | 7.75743 | − | 0.985419i | 0.271066 | − | 0.0344333i | ||||
\(820\) | −12.8912 | − | 22.3281i | −0.450179 | − | 0.779733i | ||||
\(821\) | 30.4574 | + | 25.5568i | 1.06297 | + | 0.891939i | 0.994397 | − | 0.105707i | \(-0.0337104\pi\) |
0.0685747 | + | 0.997646i | \(0.478155\pi\) | |||||||
\(822\) | 6.83119 | + | 3.12219i | 0.238265 | + | 0.108899i | ||||
\(823\) | −6.77095 | − | 38.3999i | −0.236020 | − | 1.33854i | −0.840454 | − | 0.541883i | \(-0.817712\pi\) |
0.604434 | − | 0.796655i | \(-0.293399\pi\) | |||||||
\(824\) | 9.46551 | − | 7.94251i | 0.329747 | − | 0.276690i | ||||
\(825\) | −2.14286 | − | 22.5127i | −0.0746048 | − | 0.783793i | ||||
\(826\) | 3.45506 | + | 30.9738i | 0.120217 | + | 1.07772i | ||||
\(827\) | 15.3937 | + | 26.6626i | 0.535290 | + | 0.927150i | 0.999149 | + | 0.0412408i | \(0.0131311\pi\) |
−0.463859 | + | 0.885909i | \(0.653536\pi\) | |||||||
\(828\) | 2.77930 | + | 3.21140i | 0.0965875 | + | 0.111604i | ||||
\(829\) | −25.5293 | −0.886669 | −0.443335 | − | 0.896356i | \(-0.646205\pi\) | ||||
−0.443335 | + | 0.896356i | \(0.646205\pi\) | |||||||
\(830\) | 3.94689 | − | 22.3839i | 0.136999 | − | 0.776958i | ||||
\(831\) | −50.7129 | + | 14.0042i | −1.75921 | + | 0.485799i | ||||
\(832\) | 0.595091 | + | 3.37493i | 0.0206311 | + | 0.117005i | ||||
\(833\) | 8.46984 | − | 1.91339i | 0.293463 | − | 0.0662951i | ||||
\(834\) | −39.4142 | + | 57.2138i | −1.36480 | + | 1.98115i | ||||
\(835\) | 2.76274 | − | 15.6683i | 0.0956087 | − | 0.542224i | ||||
\(836\) | 4.86579 | + | 8.42779i | 0.168287 | + | 0.291481i | ||||
\(837\) | −28.9135 | − | 19.2743i | −0.999397 | − | 0.666217i | ||||
\(838\) | −28.3461 | + | 49.0969i | −0.979201 | + | 1.69603i | ||||
\(839\) | −15.4625 | + | 5.62791i | −0.533826 | + | 0.194297i | −0.594846 | − | 0.803840i | \(-0.702787\pi\) |
0.0610197 | + | 0.998137i | \(0.480565\pi\) | |||||||
\(840\) | 4.30284 | + | 4.81209i | 0.148462 | + | 0.166033i | ||||
\(841\) | 1.13760 | − | 0.954559i | 0.0392275 | − | 0.0329158i | ||||
\(842\) | 54.9273 | + | 19.9919i | 1.89292 | + | 0.688966i | ||||
\(843\) | 32.5179 | − | 8.97969i | 1.11998 | − | 0.309277i | ||||
\(844\) | 1.64286 | − | 9.31712i | 0.0565495 | − | 0.320708i | ||||
\(845\) | −8.79965 | − | 15.2414i | −0.302717 | − | 0.524322i | ||||
\(846\) | 55.3786 | + | 30.8556i | 1.90396 | + | 1.06084i | ||||
\(847\) | −24.9987 | + | 7.34088i | −0.858965 | + | 0.252236i | ||||
\(848\) | 3.84818 | − | 21.8241i | 0.132147 | − | 0.749443i | ||||
\(849\) | −10.8812 | + | 7.74352i | −0.373441 | + | 0.265757i | ||||
\(850\) | −1.14975 | − | 6.52057i | −0.0394362 | − | 0.223654i | ||||
\(851\) | −0.478296 | − | 2.71255i | −0.0163958 | − | 0.0929851i | ||||
\(852\) | −24.3204 | + | 17.3075i | −0.833205 | + | 0.592944i | ||||
\(853\) | −1.40699 | + | 7.97942i | −0.0481743 | + | 0.273210i | −0.999374 | − | 0.0353643i | \(-0.988741\pi\) |
0.951200 | + | 0.308575i | \(0.0998519\pi\) | |||||||
\(854\) | −6.11382 | + | 25.2039i | −0.209211 | + | 0.862461i | ||||
\(855\) | 5.50598 | + | 3.06779i | 0.188301 | + | 0.104916i | ||||
\(856\) | 5.31883 | + | 9.21248i | 0.181794 | + | 0.314876i | ||||
\(857\) | −1.18534 | + | 6.72238i | −0.0404903 | + | 0.229632i | −0.998337 | − | 0.0576480i | \(-0.981640\pi\) |
0.957847 | + | 0.287280i | \(0.0927510\pi\) | |||||||
\(858\) | −14.0186 | + | 3.87117i | −0.478586 | + | 0.132160i | ||||
\(859\) | 42.9069 | + | 15.6168i | 1.46397 | + | 0.532840i | 0.946455 | − | 0.322837i | \(-0.104636\pi\) |
0.517511 | + | 0.855677i | \(0.326859\pi\) | |||||||
\(860\) | −5.36099 | + | 4.49840i | −0.182808 | + | 0.153394i | ||||
\(861\) | 16.9928 | − | 51.6906i | 0.579113 | − | 1.76161i | ||||
\(862\) | 18.4445 | − | 6.71326i | 0.628223 | − | 0.228655i | ||||
\(863\) | 0.791478 | − | 1.37088i | 0.0269422 | − | 0.0466653i | −0.852240 | − | 0.523151i | \(-0.824756\pi\) |
0.879182 | + | 0.476486i | \(0.158090\pi\) | |||||||
\(864\) | −32.4636 | + | 16.0528i | −1.10443 | + | 0.546129i | ||||
\(865\) | 8.85818 | + | 15.3428i | 0.301187 | + | 0.521672i | ||||
\(866\) | 2.05438 | − | 11.6510i | 0.0698107 | − | 0.395916i | ||||
\(867\) | −15.1923 | + | 22.0532i | −0.515958 | + | 0.748966i | ||||
\(868\) | 11.6617 | + | 23.5285i | 0.395823 | + | 0.798608i | ||||
\(869\) | −11.2189 | − | 63.6256i | −0.380575 | − | 2.15835i | ||||
\(870\) | −25.1738 | + | 6.95163i | −0.853470 | + | 0.235682i | ||||
\(871\) | 2.24769 | − | 12.7473i | 0.0761601 | − | 0.431926i | ||||
\(872\) | 18.3403 | 0.621081 | ||||||||
\(873\) | −11.2068 | − | 12.9491i | −0.379293 | − | 0.438261i | ||||
\(874\) | 1.27842 | + | 2.21429i | 0.0432433 | + | 0.0748995i | ||||
\(875\) | 3.37268 | + | 30.2353i | 0.114017 | + | 1.02214i | ||||
\(876\) | −2.41885 | − | 25.4123i | −0.0817254 | − | 0.858602i | ||||
\(877\) | 17.0243 | − | 14.2851i | 0.574869 | − | 0.482372i | −0.308389 | − | 0.951260i | \(-0.599790\pi\) |
0.883257 | + | 0.468888i | \(0.155345\pi\) | |||||||
\(878\) | −6.55978 | − | 37.2024i | −0.221382 | − | 1.25552i | ||||
\(879\) | 21.5480 | + | 9.84848i | 0.726795 | + | 0.332181i | ||||
\(880\) | −24.3865 | − | 20.4627i | −0.822068 | − | 0.689797i | ||||
\(881\) | 12.8210 | + | 22.2065i | 0.431949 | + | 0.748158i | 0.997041 | − | 0.0768702i | \(-0.0244927\pi\) |
−0.565092 | + | 0.825028i | \(0.691159\pi\) | |||||||
\(882\) | 4.36645 | − | 38.9545i | 0.147026 | − | 1.31167i | ||||
\(883\) | −17.2315 | + | 29.8458i | −0.579886 | + | 1.00439i | 0.415606 | + | 0.909545i | \(0.363569\pi\) |
−0.995492 | + | 0.0948467i | \(0.969764\pi\) | |||||||
\(884\) | −1.70443 | + | 0.620362i | −0.0573262 | + | 0.0208650i | ||||
\(885\) | −11.3938 | − | 11.2212i | −0.382998 | − | 0.377196i | ||||
\(886\) | −12.6943 | + | 10.6518i | −0.426474 | + | 0.357854i | ||||
\(887\) | 2.16361 | + | 12.2704i | 0.0726469 | + | 0.412001i | 0.999345 | + | 0.0361938i | \(0.0115234\pi\) |
−0.926698 | + | 0.375807i | \(0.877366\pi\) | |||||||
\(888\) | 4.80041 | + | 0.383089i | 0.161091 | + | 0.0128556i | ||||
\(889\) | 27.0655 | − | 19.9288i | 0.907746 | − | 0.668390i | ||||
\(890\) | −1.67942 | −0.0562943 | ||||||||
\(891\) | −21.6233 | − | 34.9441i | −0.724407 | − | 1.17067i | ||||
\(892\) | −4.28964 | − | 7.42988i | −0.143628 | − | 0.248771i | ||||
\(893\) | 12.4539 | + | 10.4500i | 0.416753 | + | 0.349697i | ||||
\(894\) | −8.05631 | + | 11.6946i | −0.269443 | + | 0.391125i | ||||
\(895\) | −13.8723 | + | 11.6402i | −0.463700 | + | 0.389090i | ||||
\(896\) | −19.6620 | − | 1.24912i | −0.656861 | − | 0.0417302i | ||||
\(897\) | −1.56895 | + | 0.433260i | −0.0523858 | + | 0.0144661i | ||||
\(898\) | −21.1127 | + | 7.68438i | −0.704538 | + | 0.256431i | ||||
\(899\) | 36.9235 | 1.23147 | ||||||||
\(900\) | −12.5711 | − | 2.01929i | −0.419036 | − | 0.0673096i | ||||
\(901\) | 5.76840 | 0.192173 | ||||||||
\(902\) | −17.5725 | + | 99.6585i | −0.585100 | + | 3.31827i | ||||
\(903\) | −14.6185 | − | 2.10599i | −0.486473 | − | 0.0700830i | ||||
\(904\) | −7.09106 | − | 2.58094i | −0.235845 | − | 0.0858407i | ||||
\(905\) | −17.7861 | + | 14.9243i | −0.591229 | + | 0.496100i | ||||
\(906\) | 39.0447 | − | 27.7858i | 1.29717 | − | 0.923123i | ||||
\(907\) | −19.0510 | + | 6.93399i | −0.632577 | + | 0.230239i | −0.638353 | − | 0.769744i | \(-0.720384\pi\) |
0.00577554 | + | 0.999983i | \(0.498162\pi\) | |||||||
\(908\) | 19.0304 | 0.631547 | ||||||||
\(909\) | −23.2505 | − | 26.8652i | −0.771171 | − | 0.891063i | ||||
\(910\) | 6.82988 | − | 2.00560i | 0.226408 | − | 0.0664850i | ||||
\(911\) | −16.6560 | − | 13.9761i | −0.551838 | − | 0.463047i | 0.323725 | − | 0.946151i | \(-0.395065\pi\) |
−0.875563 | + | 0.483104i | \(0.839509\pi\) | |||||||
\(912\) | −11.4259 | + | 3.15520i | −0.378348 | + | 0.104479i | ||||
\(913\) | −29.1115 | + | 24.4275i | −0.963451 | + | 0.808431i | ||||
\(914\) | −5.64526 | − | 2.05471i | −0.186729 | − | 0.0679637i | ||||
\(915\) | −5.71589 | − | 12.0175i | −0.188962 | − | 0.397285i | ||||
\(916\) | 8.17391 | − | 2.97506i | 0.270073 | − | 0.0982987i | ||||
\(917\) | −5.23617 | + | 21.5859i | −0.172913 | + | 0.712828i | ||||
\(918\) | −7.12477 | − | 9.69500i | −0.235152 | − | 0.319983i | ||||
\(919\) | −8.04117 | + | 13.9277i | −0.265254 | + | 0.459433i | −0.967630 | − | 0.252373i | \(-0.918789\pi\) |
0.702376 | + | 0.711806i | \(0.252122\pi\) | |||||||
\(920\) | −1.02930 | − | 0.863688i | −0.0339351 | − | 0.0284749i | ||||
\(921\) | −17.1105 | + | 24.8376i | −0.563809 | + | 0.818427i | ||||
\(922\) | 11.0709 | + | 62.7860i | 0.364599 | + | 2.06775i | ||||
\(923\) | −1.98653 | − | 11.2662i | −0.0653874 | − | 0.370831i | ||||
\(924\) | 0.976622 | + | 31.0390i | 0.0321285 | + | 1.02111i | ||||
\(925\) | 6.32551 | + | 5.30773i | 0.207981 | + | 0.174517i | ||||
\(926\) | 10.2119 | + | 17.6876i | 0.335585 | + | 0.581250i | ||||
\(927\) | 33.0441 | − | 19.7565i | 1.08531 | − | 0.648890i | ||||
\(928\) | 19.2410 | − | 33.3265i | 0.631618 | − | 1.09399i | ||||
\(929\) | −34.8423 | − | 29.2361i | −1.14314 | − | 0.959206i | −0.143601 | − | 0.989636i | \(-0.545868\pi\) |
−0.999537 | + | 0.0304292i | \(0.990313\pi\) | |||||||
\(930\) | −28.7692 | − | 13.1489i | −0.943380 | − | 0.431171i | ||||
\(931\) | 2.98433 | − | 9.59917i | 0.0978075 | − | 0.314600i | ||||
\(932\) | −1.35494 | − | 0.493157i | −0.0443824 | − | 0.0161539i | ||||
\(933\) | −42.1800 | + | 30.0171i | −1.38091 | + | 0.982716i | ||||
\(934\) | −72.6279 | + | 26.4344i | −2.37646 | + | 0.864960i | ||||
\(935\) | 4.14320 | − | 7.17623i | 0.135497 | − | 0.234688i | ||||
\(936\) | −0.0434354 | − | 2.84543i | −0.00141973 | − | 0.0930057i | ||||
\(937\) | 19.6409 | − | 34.0190i | 0.641639 | − | 1.11135i | −0.343428 | − | 0.939179i | \(-0.611588\pi\) |
0.985067 | − | 0.172172i | \(-0.0550784\pi\) | |||||||
\(938\) | −59.4420 | − | 26.0129i | −1.94085 | − | 0.849352i | ||||
\(939\) | −1.38127 | + | 5.31694i | −0.0450759 | + | 0.173512i | ||||
\(940\) | 23.0995 | + | 8.40753i | 0.753423 | + | 0.274223i | ||||
\(941\) | 34.2173 | + | 12.4541i | 1.11545 | + | 0.405991i | 0.832990 | − | 0.553288i | \(-0.186627\pi\) |
0.282461 | + | 0.959279i | \(0.408849\pi\) | |||||||
\(942\) | −0.693715 | + | 1.00700i | −0.0226025 | + | 0.0328098i | ||||
\(943\) | −1.96670 | + | 11.1537i | −0.0640447 | + | 0.363216i | ||||
\(944\) | 30.0744 | 0.978837 | ||||||||
\(945\) | 10.8591 | + | 16.9300i | 0.353248 | + | 0.550732i | ||||
\(946\) | 27.4683 | 0.893071 | ||||||||
\(947\) | 2.93396 | − | 16.6393i | 0.0953410 | − | 0.540705i | −0.899301 | − | 0.437329i | \(-0.855924\pi\) |
0.994642 | − | 0.103376i | \(-0.0329645\pi\) | |||||||
\(948\) | −36.2593 | − | 2.89361i | −1.17765 | − | 0.0939802i | ||||
\(949\) | 9.19319 | + | 3.34605i | 0.298424 | + | 0.108617i | ||||
\(950\) | −7.20286 | − | 2.62163i | −0.233691 | − | 0.0850567i | ||||
\(951\) | 8.24185 | + | 8.11700i | 0.267260 | + | 0.263212i | ||||
\(952\) | −0.350319 | − | 3.14053i | −0.0113539 | − | 0.101785i | ||||
\(953\) | −10.9661 | + | 18.9938i | −0.355226 | + | 0.615270i | −0.987157 | − | 0.159755i | \(-0.948930\pi\) |
0.631930 | + | 0.775025i | \(0.282263\pi\) | |||||||
\(954\) | 8.53168 | − | 24.6027i | 0.276223 | − | 0.796541i | ||||
\(955\) | −11.1209 | + | 19.2620i | −0.359865 | + | 0.623304i | ||||
\(956\) | 33.1349 | − | 12.0601i | 1.07166 | − | 0.390052i | ||||
\(957\) | 39.7135 | + | 18.1510i | 1.28375 | + | 0.586738i | ||||
\(958\) | 14.5634 | + | 5.30066i | 0.470523 | + | 0.171257i | ||||
\(959\) | 2.72958 | + | 5.50718i | 0.0881429 | + | 0.177836i | ||||
\(960\) | −7.18170 | + | 5.11081i | −0.231788 | + | 0.164951i | ||||
\(961\) | 10.5115 | + | 8.82019i | 0.339081 | + | 0.284522i | ||||
\(962\) | 2.65513 | − | 4.59883i | 0.0856049 | − | 0.148272i | ||||
\(963\) | 11.8102 | + | 30.9691i | 0.380579 | + | 0.997967i | ||||
\(964\) | 0.212405 | + | 0.367897i | 0.00684111 | + | 0.0118492i | ||||
\(965\) | 21.0711 | + | 17.6808i | 0.678303 | + | 0.569164i | ||||
\(966\) | 0.256595 | + | 8.15508i | 0.00825579 | + | 0.262385i | ||||
\(967\) | 2.64027 | + | 14.9737i | 0.0849053 | + | 0.481522i | 0.997377 | + | 0.0723820i | \(0.0230601\pi\) |
−0.912472 | + | 0.409140i | \(0.865829\pi\) | |||||||
\(968\) | 1.64647 | + | 9.33758i | 0.0529195 | + | 0.300121i | ||||
\(969\) | −1.32527 | − | 2.78632i | −0.0425737 | − | 0.0895096i | ||||
\(970\) | −11.9418 | − | 10.0204i | −0.383428 | − | 0.321734i | ||||
\(971\) | −12.0551 | + | 20.8800i | −0.386866 | + | 0.670072i | −0.992026 | − | 0.126032i | \(-0.959776\pi\) |
0.605160 | + | 0.796104i | \(0.293109\pi\) | |||||||
\(972\) | −22.1029 | + | 6.83624i | −0.708952 | + | 0.219272i | ||||
\(973\) | −54.5521 | + | 16.0193i | −1.74886 | + | 0.513554i | ||||
\(974\) | −42.0039 | + | 15.2882i | −1.34589 | + | 0.489864i | ||||
\(975\) | 2.76822 | − | 4.01836i | 0.0886541 | − | 0.128691i | ||||
\(976\) | 23.5172 | + | 8.55958i | 0.752769 | + | 0.273985i | ||||
\(977\) | 22.0256 | − | 18.4817i | 0.704662 | − | 0.591282i | −0.218434 | − | 0.975852i | \(-0.570095\pi\) |
0.923096 | + | 0.384570i | \(0.125650\pi\) | |||||||
\(978\) | 4.19603 | − | 16.1519i | 0.134174 | − | 0.516480i | ||||
\(979\) | 2.15099 | + | 1.80490i | 0.0687460 | + | 0.0576848i | ||||
\(980\) | −0.723903 | − | 15.1824i | −0.0231242 | − | 0.484985i | ||||
\(981\) | 56.4212 | + | 9.06292i | 1.80139 | + | 0.289357i | ||||
\(982\) | −73.3705 | −2.34135 | ||||||||
\(983\) | −4.51817 | + | 1.64448i | −0.144107 | + | 0.0524508i | −0.413067 | − | 0.910701i | \(-0.635542\pi\) |
0.268960 | + | 0.963151i | \(0.413320\pi\) | |||||||
\(984\) | −18.0097 | − | 8.23130i | −0.574127 | − | 0.262404i | ||||
\(985\) | 0.292665 | − | 0.245575i | 0.00932509 | − | 0.00782468i | ||||
\(986\) | 12.0134 | + | 4.37251i | 0.382583 | + | 0.139249i | ||||
\(987\) | 19.2679 | + | 48.1680i | 0.613305 | + | 1.53320i | ||||
\(988\) | −0.364627 | + | 2.06790i | −0.0116003 | + | 0.0657887i | ||||
\(989\) | 3.07424 | 0.0977551 | ||||||||
\(990\) | −24.4792 | − | 28.2850i | −0.778001 | − | 0.898955i | ||||
\(991\) | 52.7537 | 1.67578 | 0.837888 | − | 0.545842i | \(-0.183790\pi\) | ||||
0.837888 | + | 0.545842i | \(0.183790\pi\) | |||||||
\(992\) | 43.7986 | − | 15.9414i | 1.39061 | − | 0.506140i | ||||
\(993\) | −6.15712 | − | 6.06385i | −0.195390 | − | 0.192430i | ||||
\(994\) | −57.2303 | − | 3.63582i | −1.81523 | − | 0.115321i | ||||
\(995\) | 1.83529 | − | 1.53999i | 0.0581827 | − | 0.0488211i | ||||
\(996\) | 9.18998 | + | 19.3216i | 0.291196 | + | 0.612228i | ||||
\(997\) | 39.3451 | + | 33.0144i | 1.24607 | + | 1.04558i | 0.997024 | + | 0.0770861i | \(0.0245616\pi\) |
0.249046 | + | 0.968492i | \(0.419883\pi\) | |||||||
\(998\) | −5.84523 | − | 10.1242i | −0.185028 | − | 0.320477i | ||||
\(999\) | 14.5785 | + | 3.55066i | 0.461242 | + | 0.112338i |
(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.u.a.142.4 | yes | 132 | |
3.2 | odd | 2 | 567.2.u.a.100.19 | 132 | |||
7.4 | even | 3 | 189.2.w.a.88.4 | yes | 132 | ||
21.11 | odd | 6 | 567.2.w.a.424.19 | 132 | |||
27.4 | even | 9 | 189.2.w.a.58.4 | yes | 132 | ||
27.23 | odd | 18 | 567.2.w.a.226.19 | 132 | |||
189.4 | even | 9 | inner | 189.2.u.a.4.4 | ✓ | 132 | |
189.158 | odd | 18 | 567.2.u.a.550.19 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.u.a.4.4 | ✓ | 132 | 189.4 | even | 9 | inner | |
189.2.u.a.142.4 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.w.a.58.4 | yes | 132 | 27.4 | even | 9 | ||
189.2.w.a.88.4 | yes | 132 | 7.4 | even | 3 | ||
567.2.u.a.100.19 | 132 | 3.2 | odd | 2 | |||
567.2.u.a.550.19 | 132 | 189.158 | odd | 18 | |||
567.2.w.a.226.19 | 132 | 27.23 | odd | 18 | |||
567.2.w.a.424.19 | 132 | 21.11 | odd | 6 |