Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [261,3,Mod(10,261)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(261, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([0, 23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("261.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 261 = 3^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 261.s (of order \(28\), degree \(12\), 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: | \(7.11173489980\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 172.3 | ||
Character | \(\chi\) | \(=\) | 261.172 |
Dual form | 261.3.s.a.217.3 |
$q$-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 \(\left(\mathbb{Z}/261\mathbb{Z}\right)^\times\).
\(n\) | \(118\) | \(146\) |
\(\chi(n)\) | \(e\left(\frac{15}{28}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.170607 | − | 1.51418i | 0.0853036 | − | 0.757090i | −0.876134 | − | 0.482067i | \(-0.839886\pi\) |
0.961438 | − | 0.275023i | \(-0.0886854\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.63608 | + | 0.373424i | 0.409019 | + | 0.0933560i | ||||
\(5\) | 5.91405 | − | 4.71630i | 1.18281 | − | 0.943260i | 0.183600 | − | 0.983001i | \(-0.441225\pi\) |
0.999210 | + | 0.0397411i | \(0.0126533\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.42870 | − | 6.25955i | −0.204100 | − | 0.894222i | −0.968408 | − | 0.249370i | \(-0.919776\pi\) |
0.764308 | − | 0.644852i | \(-0.223081\pi\) | |||||||
\(8\) | 2.85762 | − | 8.16662i | 0.357203 | − | 1.02083i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −6.13235 | − | 9.75958i | −0.613235 | − | 0.975958i | ||||
\(11\) | 5.33282 | + | 15.2403i | 0.484802 | + | 1.38548i | 0.883512 | + | 0.468408i | \(0.155172\pi\) |
−0.398710 | + | 0.917077i | \(0.630542\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.47235 | + | 11.3635i | −0.420950 | + | 0.874112i | 0.577387 | + | 0.816471i | \(0.304072\pi\) |
−0.998337 | + | 0.0576417i | \(0.981642\pi\) | |||||||
\(14\) | −9.72184 | + | 1.09539i | −0.694417 | + | 0.0782420i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −5.83035 | − | 2.80775i | −0.364397 | − | 0.175484i | ||||
\(17\) | −11.5542 | − | 11.5542i | −0.679659 | − | 0.679659i | 0.280264 | − | 0.959923i | \(-0.409578\pi\) |
−0.959923 | + | 0.280264i | \(0.909578\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 12.1000 | − | 7.60291i | 0.636840 | − | 0.400153i | −0.174558 | − | 0.984647i | \(-0.555850\pi\) |
0.811398 | + | 0.584494i | \(0.198707\pi\) | |||||||
\(20\) | 11.4370 | − | 5.50778i | 0.571851 | − | 0.275389i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 23.9864 | − | 5.47475i | 1.09029 | − | 0.248852i | ||||
\(23\) | 2.84328 | − | 3.56536i | 0.123621 | − | 0.155016i | −0.716170 | − | 0.697926i | \(-0.754106\pi\) |
0.839791 | + | 0.542910i | \(0.182678\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.16951 | − | 31.4117i | 0.286780 | − | 1.25647i | ||||
\(26\) | 16.2727 | + | 10.2248i | 0.625873 | + | 0.393262i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | − | 10.7746i | − | 0.384808i | ||||||
\(29\) | −23.5053 | + | 16.9853i | −0.810527 | + | 0.585702i | ||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.32747 | + | 11.7816i | −0.0428217 | + | 0.380053i | 0.953963 | + | 0.299925i | \(0.0969616\pi\) |
−0.996785 | + | 0.0801282i | \(0.974467\pi\) | |||||||
\(32\) | 13.1667 | − | 20.9547i | 0.411461 | − | 0.654836i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −19.4664 | + | 15.5239i | −0.572541 | + | 0.456586i | ||||
\(35\) | −37.9713 | − | 30.2811i | −1.08490 | − | 0.865175i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.68961 | − | 7.68647i | 0.0726922 | − | 0.207742i | −0.901804 | − | 0.432144i | \(-0.857757\pi\) |
0.974497 | + | 0.224402i | \(0.0720428\pi\) | |||||||
\(38\) | −9.44783 | − | 19.6186i | −0.248627 | − | 0.516280i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −21.6161 | − | 61.7752i | −0.540402 | − | 1.54438i | ||||
\(41\) | −10.8682 | + | 10.8682i | −0.265077 | + | 0.265077i | −0.827113 | − | 0.562036i | \(-0.810018\pi\) |
0.562036 | + | 0.827113i | \(0.310018\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −41.8092 | + | 4.71076i | −0.972307 | + | 0.109553i | −0.583804 | − | 0.811895i | \(-0.698436\pi\) |
−0.388503 | + | 0.921447i | \(0.627008\pi\) | |||||||
\(44\) | 3.03380 | + | 26.9258i | 0.0689501 | + | 0.611949i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.91352 | − | 4.91352i | −0.106816 | − | 0.106816i | ||||
\(47\) | 28.2097 | − | 9.87101i | 0.600207 | − | 0.210022i | −0.0130369 | − | 0.999915i | \(-0.504150\pi\) |
0.613244 | + | 0.789893i | \(0.289864\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 7.00665 | − | 3.37423i | 0.142993 | − | 0.0688618i | ||||
\(50\) | −46.3398 | − | 16.2150i | −0.926796 | − | 0.324300i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −13.1966 | + | 16.5480i | −0.253780 | + | 0.318230i | ||||
\(53\) | 25.1303 | + | 31.5124i | 0.474157 | + | 0.594574i | 0.960184 | − | 0.279370i | \(-0.0901255\pi\) |
−0.486026 | + | 0.873944i | \(0.661554\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 103.417 | + | 64.9809i | 1.88030 | + | 1.18147i | ||||
\(56\) | −55.2021 | − | 6.21978i | −0.985751 | − | 0.111068i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 21.7087 | + | 38.4890i | 0.374288 | + | 0.663604i | ||||
\(59\) | 72.0544 | 1.22126 | 0.610631 | − | 0.791915i | \(-0.290916\pi\) | ||||
0.610631 | + | 0.791915i | \(0.290916\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −36.0211 | + | 57.3273i | −0.590510 | + | 0.939791i | 0.409117 | + | 0.912482i | \(0.365837\pi\) |
−0.999627 | + | 0.0273095i | \(0.991306\pi\) | |||||||
\(62\) | 17.6131 | + | 4.02006i | 0.284081 | + | 0.0648397i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −49.7205 | − | 39.6508i | −0.776883 | − | 0.619543i | ||||
\(65\) | 21.2297 | + | 93.0134i | 0.326611 | + | 1.43097i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −40.9142 | − | 84.9592i | −0.610659 | − | 1.26805i | −0.945454 | − | 0.325756i | \(-0.894381\pi\) |
0.334794 | − | 0.942291i | \(-0.391333\pi\) | |||||||
\(68\) | −14.5890 | − | 23.2182i | −0.214543 | − | 0.341444i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −52.3293 | + | 52.3293i | −0.747561 | + | 0.747561i | ||||
\(71\) | −13.8330 | + | 28.7244i | −0.194830 | + | 0.404570i | −0.975382 | − | 0.220522i | \(-0.929224\pi\) |
0.780552 | + | 0.625091i | \(0.214938\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 14.9474 | + | 132.662i | 0.204758 | + | 1.81728i | 0.504668 | + | 0.863313i | \(0.331615\pi\) |
−0.299910 | + | 0.953968i | \(0.596957\pi\) | |||||||
\(74\) | −11.1798 | − | 5.38392i | −0.151079 | − | 0.0727557i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 22.6356 | − | 7.92053i | 0.297836 | − | 0.104217i | ||||
\(77\) | 87.7787 | − | 55.1550i | 1.13998 | − | 0.716299i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 82.9084 | + | 29.0109i | 1.04947 | + | 0.367227i | 0.799274 | − | 0.600967i | \(-0.205218\pi\) |
0.250200 | + | 0.968194i | \(0.419504\pi\) | |||||||
\(80\) | −47.7232 | + | 10.8925i | −0.596540 | + | 0.136156i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 14.6022 | + | 18.3106i | 0.178075 | + | 0.223300i | ||||
\(83\) | 14.4328 | − | 63.2343i | 0.173889 | − | 0.761859i | −0.810483 | − | 0.585762i | \(-0.800795\pi\) |
0.984373 | − | 0.176098i | \(-0.0563475\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −122.825 | − | 13.8391i | −1.44500 | − | 0.162813i | ||||
\(86\) | 64.1103i | 0.745469i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 139.701 | 1.58751 | ||||||||
\(89\) | −10.8152 | + | 95.9875i | −0.121519 | + | 1.07851i | 0.773907 | + | 0.633300i | \(0.218300\pi\) |
−0.895426 | + | 0.445211i | \(0.853129\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 78.9486 | + | 18.0195i | 0.867567 | + | 0.198016i | ||||
\(92\) | 5.98322 | − | 4.77146i | 0.0650350 | − | 0.0518637i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −10.1337 | − | 44.3987i | −0.107805 | − | 0.472327i | ||||
\(95\) | 35.7022 | − | 102.031i | 0.375813 | − | 1.07401i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 63.6202 | + | 101.251i | 0.655879 | + | 1.04382i | 0.994685 | + | 0.102969i | \(0.0328341\pi\) |
−0.338806 | + | 0.940856i | \(0.610023\pi\) | |||||||
\(98\) | −3.91380 | − | 11.1850i | −0.0399367 | − | 0.114133i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 23.4597 | − | 48.7146i | 0.234597 | − | 0.487146i | ||||
\(101\) | −44.5062 | + | 5.01465i | −0.440656 | + | 0.0496500i | −0.329505 | − | 0.944154i | \(-0.606882\pi\) |
−0.111150 | + | 0.993804i | \(0.535453\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −58.9299 | − | 28.3791i | −0.572135 | − | 0.275526i | 0.125365 | − | 0.992111i | \(-0.459990\pi\) |
−0.697500 | + | 0.716585i | \(0.745704\pi\) | |||||||
\(104\) | 77.1631 | + | 77.1631i | 0.741953 | + | 0.741953i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 52.0029 | − | 32.6756i | 0.490594 | − | 0.308260i | ||||
\(107\) | −73.6724 | + | 35.4788i | −0.688527 | + | 0.331577i | −0.745224 | − | 0.666814i | \(-0.767657\pi\) |
0.0566968 | + | 0.998391i | \(0.481943\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −70.6783 | + | 16.1319i | −0.648425 | + | 0.147999i | −0.534069 | − | 0.845441i | \(-0.679338\pi\) |
−0.114356 | + | 0.993440i | \(0.536481\pi\) | |||||||
\(110\) | 116.036 | − | 145.505i | 1.05488 | − | 1.32277i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.24542 | + | 40.5068i | −0.0825484 | + | 0.361668i | ||||
\(113\) | 32.1123 | + | 20.1775i | 0.284180 | + | 0.178562i | 0.666577 | − | 0.745436i | \(-0.267759\pi\) |
−0.382397 | + | 0.923998i | \(0.624901\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 34.4955i | − | 0.299961i | ||||||
\(116\) | −44.7992 | + | 19.0119i | −0.386200 | + | 0.163896i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 12.2930 | − | 109.103i | 0.104178 | − | 0.924605i | ||||
\(119\) | −55.8167 | + | 88.8317i | −0.469048 | + | 0.746485i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −109.227 | + | 87.1058i | −0.902704 | + | 0.719882i | ||||
\(122\) | 80.6584 | + | 64.3229i | 0.661134 | + | 0.527237i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.57139 | + | 18.7800i | −0.0529951 | + | 0.151451i | ||||
\(125\) | −23.6947 | − | 49.2026i | −0.189558 | − | 0.393621i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.1833 | − | 46.2491i | −0.127427 | − | 0.364166i | 0.862441 | − | 0.506158i | \(-0.168935\pi\) |
−0.989868 | + | 0.141992i | \(0.954649\pi\) | |||||||
\(128\) | 1.47690 | − | 1.47690i | 0.0115383 | − | 0.0115383i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 144.461 | − | 16.2768i | 1.11124 | − | 0.125206i | ||||
\(131\) | 9.85869 | + | 87.4983i | 0.0752572 | + | 0.667926i | 0.973541 | + | 0.228511i | \(0.0733857\pi\) |
−0.898284 | + | 0.439415i | \(0.855186\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −64.8780 | − | 64.8780i | −0.487805 | − | 0.487805i | ||||
\(134\) | −135.624 | + | 47.4568i | −1.01212 | + | 0.354155i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −127.376 | + | 61.3412i | −0.936591 | + | 0.451039i | ||||
\(137\) | −47.1122 | − | 16.4853i | −0.343885 | − | 0.120330i | 0.152811 | − | 0.988255i | \(-0.451168\pi\) |
−0.496695 | + | 0.867925i | \(0.665453\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.30447 | − | 4.14367i | 0.0237732 | − | 0.0298106i | −0.769803 | − | 0.638282i | \(-0.779645\pi\) |
0.793576 | + | 0.608471i | \(0.208217\pi\) | |||||||
\(140\) | −50.8163 | − | 63.7217i | −0.362974 | − | 0.455155i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 41.1340 | + | 25.8462i | 0.289676 | + | 0.182015i | ||||
\(143\) | −202.366 | − | 22.8012i | −1.41515 | − | 0.159449i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −58.9034 | + | 211.310i | −0.406231 | + | 1.45731i | ||||
\(146\) | 203.424 | 1.39331 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.27072 | − | 11.5713i | 0.0491265 | − | 0.0781844i | ||||
\(149\) | −121.378 | − | 27.7037i | −0.814617 | − | 0.185931i | −0.205138 | − | 0.978733i | \(-0.565764\pi\) |
−0.609479 | + | 0.792802i | \(0.708621\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 116.656 | + | 93.0300i | 0.772556 | + | 0.616093i | 0.928355 | − | 0.371696i | \(-0.121224\pi\) |
−0.155798 | + | 0.987789i | \(0.549795\pi\) | |||||||
\(152\) | −27.5129 | − | 120.542i | −0.181006 | − | 0.793039i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −68.5389 | − | 142.323i | −0.445058 | − | 0.924173i | ||||
\(155\) | 47.7150 | + | 75.9380i | 0.307839 | + | 0.489923i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 112.055 | − | 112.055i | 0.713725 | − | 0.713725i | −0.253587 | − | 0.967312i | \(-0.581611\pi\) |
0.967312 | + | 0.253587i | \(0.0816105\pi\) | |||||||
\(158\) | 58.0725 | − | 120.589i | 0.367548 | − | 0.763221i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −20.9601 | − | 186.026i | −0.131000 | − | 1.16266i | ||||
\(161\) | −26.3798 | − | 12.7038i | −0.163850 | − | 0.0789058i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −108.237 | + | 37.8739i | −0.664033 | + | 0.232355i | −0.641188 | − | 0.767384i | \(-0.721558\pi\) |
−0.0228453 | + | 0.999739i | \(0.507273\pi\) | |||||||
\(164\) | −21.8396 | + | 13.7227i | −0.133168 | + | 0.0836752i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −93.2858 | − | 32.6421i | −0.561963 | − | 0.196639i | ||||
\(167\) | 39.7689 | − | 9.07699i | 0.238137 | − | 0.0543532i | −0.101787 | − | 0.994806i | \(-0.532456\pi\) |
0.339924 | + | 0.940453i | \(0.389599\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.18821 | + | 7.75977i | 0.0366166 | + | 0.0459158i | ||||
\(170\) | −41.9098 | + | 183.619i | −0.246528 | + | 1.08011i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −70.1622 | − | 7.90538i | −0.407919 | − | 0.0459615i | ||||
\(173\) | − | 92.8408i | − | 0.536652i | −0.963328 | − | 0.268326i | \(-0.913530\pi\) | ||
0.963328 | − | 0.268326i | \(-0.0864704\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −206.866 | −1.18209 | ||||||||
\(176\) | 11.6988 | − | 103.830i | 0.0664705 | − | 0.589942i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 143.497 | + | 32.7523i | 0.806164 | + | 0.184002i | ||||
\(179\) | 259.613 | − | 207.034i | 1.45035 | − | 1.15662i | 0.492153 | − | 0.870509i | \(-0.336210\pi\) |
0.958198 | − | 0.286108i | \(-0.0923614\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.32646 | − | 23.3367i | −0.0294279 | − | 0.128932i | 0.958080 | − | 0.286500i | \(-0.0924919\pi\) |
−0.987508 | + | 0.157568i | \(0.949635\pi\) | |||||||
\(182\) | 40.7539 | − | 116.468i | 0.223923 | − | 0.639935i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −20.9919 | − | 33.4085i | −0.114087 | − | 0.181568i | ||||
\(185\) | −20.3452 | − | 58.1432i | −0.109974 | − | 0.314288i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 114.473 | − | 237.707i | 0.612158 | − | 1.27116i | ||||
\(188\) | 49.8394 | − | 5.61555i | 0.265103 | − | 0.0298699i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −148.402 | − | 71.4668i | −0.781065 | − | 0.376141i | ||||
\(191\) | −80.4392 | − | 80.4392i | −0.421147 | − | 0.421147i | 0.464451 | − | 0.885599i | \(-0.346252\pi\) |
−0.885599 | + | 0.464451i | \(0.846252\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 185.269 | − | 116.412i | 0.959941 | − | 0.603171i | 0.0416731 | − | 0.999131i | \(-0.486731\pi\) |
0.918267 | + | 0.395961i | \(0.129588\pi\) | |||||||
\(194\) | 164.166 | − | 79.0584i | 0.846218 | − | 0.407517i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 12.7234 | − | 2.90404i | 0.0649155 | − | 0.0148165i | ||||
\(197\) | −156.057 | + | 195.689i | −0.792166 | + | 0.993345i | 0.207719 | + | 0.978189i | \(0.433396\pi\) |
−0.999885 | + | 0.0151563i | \(0.995175\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 68.8429 | − | 301.621i | 0.345944 | − | 1.51568i | −0.440349 | − | 0.897827i | \(-0.645145\pi\) |
0.786293 | − | 0.617854i | \(-0.211998\pi\) | |||||||
\(200\) | −236.039 | − | 148.313i | −1.18020 | − | 0.741567i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 68.2460i | 0.337851i | ||||||||
\(203\) | 139.903 | + | 122.866i | 0.689176 | + | 0.605249i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −13.0174 | + | 115.532i | −0.0634994 | + | 0.563573i | ||||
\(206\) | −53.0250 | + | 84.3888i | −0.257403 | + | 0.409654i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 63.8115 | − | 50.8880i | 0.306786 | − | 0.244654i | ||||
\(209\) | 180.398 | + | 143.862i | 0.863147 | + | 0.688337i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.0592 | − | 43.0368i | 0.0713708 | − | 0.203966i | −0.902672 | − | 0.430329i | \(-0.858398\pi\) |
0.974043 | + | 0.226363i | \(0.0726834\pi\) | |||||||
\(212\) | 29.3477 | + | 60.9410i | 0.138432 | + | 0.287458i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 41.1522 | + | 117.606i | 0.192300 | + | 0.549562i | ||||
\(215\) | −225.044 | + | 225.044i | −1.04672 | + | 1.04672i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 75.6444 | − | 8.52307i | 0.348592 | − | 0.0392768i | ||||
\(218\) | 12.3683 | + | 109.772i | 0.0567354 | + | 0.503541i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 144.932 | + | 144.932i | 0.658782 | + | 0.658782i | ||||
\(221\) | 194.525 | − | 68.0671i | 0.880202 | − | 0.307996i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −125.985 | + | 60.6713i | −0.564956 | + | 0.272069i | −0.694485 | − | 0.719507i | \(-0.744368\pi\) |
0.129529 | + | 0.991576i | \(0.458654\pi\) | |||||||
\(224\) | −149.979 | − | 52.4798i | −0.669548 | − | 0.234285i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 36.0310 | − | 45.1814i | 0.159429 | − | 0.199918i | ||||
\(227\) | −18.6570 | − | 23.3951i | −0.0821894 | − | 0.103062i | 0.739037 | − | 0.673665i | \(-0.235281\pi\) |
−0.821226 | + | 0.570603i | \(0.806710\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −251.179 | − | 157.826i | −1.09685 | − | 0.689196i | −0.143073 | − | 0.989712i | \(-0.545698\pi\) |
−0.953777 | + | 0.300516i | \(0.902841\pi\) | |||||||
\(230\) | −52.2325 | − | 5.88518i | −0.227098 | − | 0.0255878i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 71.5436 | + | 240.496i | 0.308378 | + | 1.03662i | ||||
\(233\) | −102.836 | −0.441355 | −0.220678 | − | 0.975347i | \(-0.570827\pi\) | ||||
−0.220678 | + | 0.975347i | \(0.570827\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 120.279 | − | 191.423i | 0.511826 | − | 0.814567i | ||||
\(236\) | 117.887 | + | 26.9068i | 0.499519 | + | 0.114012i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 124.985 | + | 99.6718i | 0.525145 | + | 0.418789i | ||||
\(239\) | −82.4096 | − | 361.060i | −0.344810 | − | 1.51071i | −0.788783 | − | 0.614671i | \(-0.789289\pi\) |
0.443973 | − | 0.896040i | \(-0.353568\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −23.2235 | − | 48.2241i | −0.0963630 | − | 0.200100i | 0.847215 | − | 0.531250i | \(-0.178278\pi\) |
−0.943578 | + | 0.331150i | \(0.892563\pi\) | |||||||
\(242\) | 113.259 | + | 180.251i | 0.468012 | + | 0.744837i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −80.3407 | + | 80.3407i | −0.329265 | + | 0.329265i | ||||
\(245\) | 25.5238 | − | 53.0008i | 0.104179 | − | 0.216330i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 20.1801 | + | 179.103i | 0.0817007 | + | 0.725114i | ||||
\(248\) | 92.4227 | + | 44.5084i | 0.372672 | + | 0.179470i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −78.5441 | + | 27.4838i | −0.314177 | + | 0.109935i | ||||
\(251\) | −309.133 | + | 194.241i | −1.23160 | + | 0.773868i | −0.980960 | − | 0.194211i | \(-0.937785\pi\) |
−0.250644 | + | 0.968079i | \(0.580642\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 69.5001 | + | 24.3191i | 0.274704 | + | 0.0961231i | ||||
\(254\) | −72.7905 | + | 16.6139i | −0.286577 | + | 0.0654092i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −160.587 | − | 201.370i | −0.627294 | − | 0.786602i | ||||
\(257\) | 94.8505 | − | 415.567i | 0.369068 | − | 1.61699i | −0.360276 | − | 0.932846i | \(-0.617317\pi\) |
0.729344 | − | 0.684147i | \(-0.239825\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −51.9565 | − | 5.85409i | −0.200604 | − | 0.0226027i | ||||
\(260\) | 160.105i | 0.615787i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 134.170 | 0.512100 | ||||||||
\(263\) | −1.99454 | + | 17.7021i | −0.00758382 | + | 0.0673083i | −0.996934 | − | 0.0782461i | \(-0.975068\pi\) |
0.989350 | + | 0.145554i | \(0.0464966\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 297.244 | + | 67.8441i | 1.12168 | + | 0.256015i | ||||
\(266\) | −109.306 | + | 87.1684i | −0.410924 | + | 0.327701i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −35.2130 | − | 154.278i | −0.131392 | − | 0.575664i | ||||
\(269\) | 69.6952 | − | 199.177i | 0.259090 | − | 0.740437i | −0.738703 | − | 0.674031i | \(-0.764561\pi\) |
0.997793 | − | 0.0664053i | \(-0.0211530\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 168.487 | + | 268.145i | 0.621722 | + | 0.989464i | 0.998016 | + | 0.0629639i | \(0.0200553\pi\) |
−0.376294 | + | 0.926500i | \(0.622802\pi\) | |||||||
\(272\) | 34.9238 | + | 99.8065i | 0.128396 | + | 0.366935i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −32.9993 | + | 68.5238i | −0.120436 | + | 0.250087i | ||||
\(275\) | 516.958 | − | 58.2472i | 1.87985 | − | 0.211808i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −486.478 | − | 234.275i | −1.75624 | − | 0.845760i | −0.975216 | − | 0.221257i | \(-0.928984\pi\) |
−0.781022 | − | 0.624503i | \(-0.785302\pi\) | |||||||
\(278\) | −5.71050 | − | 5.71050i | −0.0205414 | − | 0.0205414i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −355.802 | + | 223.565i | −1.27072 | + | 0.798448i | ||||
\(281\) | 178.225 | − | 85.8285i | 0.634252 | − | 0.305439i | −0.0889921 | − | 0.996032i | \(-0.528365\pi\) |
0.723244 | + | 0.690593i | \(0.242650\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 155.124 | − | 35.4061i | 0.548143 | − | 0.125110i | 0.0605241 | − | 0.998167i | \(-0.480723\pi\) |
0.487619 | + | 0.873057i | \(0.337866\pi\) | |||||||
\(284\) | −33.3582 | + | 41.8298i | −0.117458 | + | 0.147288i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −69.0502 | + | 302.529i | −0.241434 | + | 1.05779i | ||||
\(287\) | 83.5573 | + | 52.5025i | 0.291140 | + | 0.182936i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 22.0004i | − | 0.0761260i | ||||||
\(290\) | 309.912 | + | 125.241i | 1.06866 | + | 0.431867i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −25.0839 | + | 222.626i | −0.0859039 | + | 0.762418i | ||||
\(293\) | −131.410 | + | 209.138i | −0.448498 | + | 0.713781i | −0.992084 | − | 0.125572i | \(-0.959923\pi\) |
0.543586 | + | 0.839353i | \(0.317066\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 426.134 | − | 339.830i | 1.44452 | − | 1.15197i | ||||
\(296\) | −55.0866 | − | 43.9301i | −0.186103 | − | 0.148412i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −62.6564 | + | 179.062i | −0.210256 | + | 0.600878i | ||||
\(299\) | 24.9554 | + | 51.8205i | 0.0834630 | + | 0.173313i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 89.2202 | + | 254.977i | 0.296413 | + | 0.847098i | ||||
\(302\) | 160.767 | − | 160.767i | 0.532340 | − | 0.532340i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −91.8941 | + | 10.3540i | −0.302283 | + | 0.0340591i | ||||
\(305\) | 57.3418 | + | 508.923i | 0.188006 | + | 1.66860i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 226.087 | + | 226.087i | 0.736440 | + | 0.736440i | 0.971887 | − | 0.235447i | \(-0.0756555\pi\) |
−0.235447 | + | 0.971887i | \(0.575655\pi\) | |||||||
\(308\) | 164.209 | − | 57.4592i | 0.533146 | − | 0.186556i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 123.124 | − | 59.2936i | 0.397175 | − | 0.191270i | ||||
\(311\) | −72.3712 | − | 25.3238i | −0.232705 | − | 0.0814269i | 0.211408 | − | 0.977398i | \(-0.432195\pi\) |
−0.444112 | + | 0.895971i | \(0.646481\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −344.367 | + | 431.823i | −1.10022 | + | 1.37963i | −0.182116 | + | 0.983277i | \(0.558294\pi\) |
−0.918100 | + | 0.396349i | \(0.870277\pi\) | |||||||
\(314\) | −150.554 | − | 188.789i | −0.479471 | − | 0.601238i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 124.811 | + | 78.4241i | 0.394972 | + | 0.248177i | ||||
\(317\) | −7.26544 | − | 0.818619i | −0.0229194 | − | 0.00258239i | 0.100497 | − | 0.994937i | \(-0.467957\pi\) |
−0.123417 | + | 0.992355i | \(0.539385\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −384.212 | − | 267.648i | −1.20443 | − | 0.839023i | ||||
\(320\) | −481.054 | −1.50330 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −23.7365 | + | 37.7764i | −0.0737158 | + | 0.117318i | ||||
\(323\) | −227.651 | − | 51.9599i | −0.704802 | − | 0.160866i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 317.711 | + | 253.366i | 0.977573 | + | 0.779589i | ||||
\(326\) | 38.8819 | + | 170.353i | 0.119270 | + | 0.522554i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 57.6991 | + | 119.813i | 0.175912 | + | 0.365285i | ||||
\(329\) | −102.091 | − | 162.478i | −0.310308 | − | 0.493853i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −60.5776 | + | 60.5776i | −0.183014 | + | 0.183014i | −0.792668 | − | 0.609654i | \(-0.791308\pi\) |
0.609654 | + | 0.792668i | \(0.291308\pi\) | |||||||
\(332\) | 47.2264 | − | 98.0667i | 0.142248 | − | 0.295382i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −6.95934 | − | 61.7659i | −0.0208364 | − | 0.184928i | ||||
\(335\) | −642.661 | − | 309.489i | −1.91839 | − | 0.923849i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 319.145 | − | 111.674i | 0.947018 | − | 0.331376i | 0.187796 | − | 0.982208i | \(-0.439865\pi\) |
0.759222 | + | 0.650832i | \(0.225580\pi\) | |||||||
\(338\) | 12.8054 | − | 8.04620i | 0.0378859 | − | 0.0238053i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −195.784 | − | 68.5077i | −0.575835 | − | 0.201493i | ||||
\(341\) | −186.635 | + | 42.5983i | −0.547318 | + | 0.124922i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −227.285 | − | 285.007i | −0.662639 | − | 0.830923i | ||||
\(344\) | −81.0039 | + | 354.901i | −0.235476 | + | 1.03169i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −140.578 | − | 15.8393i | −0.406294 | − | 0.0457783i | ||||
\(347\) | − | 98.3157i | − | 0.283330i | −0.989915 | − | 0.141665i | \(-0.954754\pi\) | ||
0.989915 | − | 0.141665i | \(-0.0452456\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −534.702 | −1.53210 | −0.766049 | − | 0.642782i | \(-0.777780\pi\) | ||||
−0.766049 | + | 0.642782i | \(0.777780\pi\) | |||||||
\(350\) | −35.2929 | + | 313.233i | −0.100837 | + | 0.894951i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 389.573 | + | 88.9176i | 1.10674 | + | 0.252607i | ||||
\(353\) | −263.129 | + | 209.839i | −0.745409 | + | 0.594444i | −0.920791 | − | 0.390057i | \(-0.872455\pi\) |
0.175382 | + | 0.984500i | \(0.443884\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 53.6642 | + | 235.118i | 0.151167 | + | 0.662305i | ||||
\(356\) | −53.5385 | + | 153.004i | −0.150389 | + | 0.429787i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −269.195 | − | 428.422i | −0.751943 | − | 1.19671i | ||||
\(359\) | 81.3356 | + | 232.444i | 0.226561 | + | 0.647475i | 0.999909 | + | 0.0134931i | \(0.00429511\pi\) |
−0.773348 | + | 0.633982i | \(0.781419\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −68.0273 | + | 141.260i | −0.188441 | + | 0.391302i | ||||
\(362\) | −36.2447 | + | 4.08380i | −0.100124 | + | 0.0112812i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 122.437 | + | 58.9625i | 0.336365 | + | 0.161985i | ||||
\(365\) | 714.071 | + | 714.071i | 1.95636 | + | 1.95636i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 132.396 | − | 83.1898i | 0.360752 | − | 0.226675i | −0.339444 | − | 0.940626i | \(-0.610239\pi\) |
0.700196 | + | 0.713951i | \(0.253096\pi\) | |||||||
\(368\) | −26.5880 | + | 12.8041i | −0.0722500 | + | 0.0347938i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −91.5103 | + | 20.8866i | −0.247325 | + | 0.0564504i | ||||
\(371\) | 161.350 | − | 202.327i | 0.434906 | − | 0.545355i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −130.647 | + | 572.403i | −0.350261 | + | 1.53459i | 0.426318 | + | 0.904573i | \(0.359810\pi\) |
−0.776579 | + | 0.630020i | \(0.783047\pi\) | |||||||
\(374\) | −340.401 | − | 213.888i | −0.910162 | − | 0.571893i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | − | 258.586i | − | 0.687728i | ||||||
\(377\) | −64.3831 | − | 360.051i | −0.170778 | − | 0.955043i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.44921 | + | 66.1135i | −0.0196549 | + | 0.174442i | −0.999704 | − | 0.0243113i | \(-0.992261\pi\) |
0.980050 | + | 0.198753i | \(0.0636893\pi\) | |||||||
\(380\) | 96.5123 | − | 153.598i | 0.253980 | − | 0.404207i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −135.523 | + | 108.076i | −0.354772 | + | 0.282921i | ||||
\(383\) | −21.1423 | − | 16.8604i | −0.0552018 | − | 0.0440220i | 0.595500 | − | 0.803355i | \(-0.296954\pi\) |
−0.650702 | + | 0.759333i | \(0.725525\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 259.000 | − | 740.180i | 0.672728 | − | 1.92255i | ||||
\(386\) | −144.661 | − | 300.391i | −0.374768 | − | 0.778214i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 66.2780 | + | 189.412i | 0.170820 | + | 0.488175i | ||||
\(389\) | 148.329 | − | 148.329i | 0.381307 | − | 0.381307i | −0.490266 | − | 0.871573i | \(-0.663100\pi\) |
0.871573 | + | 0.490266i | \(0.163100\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −74.0469 | + | 8.34308i | −0.189378 | + | 0.0213378i | ||||
\(392\) | −7.53364 | − | 66.8629i | −0.0192185 | − | 0.170569i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 269.684 | + | 269.684i | 0.684477 | + | 0.684477i | ||||
\(395\) | 627.149 | − | 219.449i | 1.58772 | − | 0.555567i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 625.449 | − | 301.201i | 1.57544 | − | 0.758692i | 0.577121 | − | 0.816659i | \(-0.304176\pi\) |
0.998318 | + | 0.0579674i | \(0.0184619\pi\) | |||||||
\(398\) | −444.963 | − | 155.699i | −1.11800 | − | 0.391204i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −129.997 | + | 163.011i | −0.324992 | + | 0.407527i | ||||
\(401\) | 475.354 | + | 596.075i | 1.18542 | + | 1.48647i | 0.835324 | + | 0.549758i | \(0.185280\pi\) |
0.350097 | + | 0.936713i | \(0.386149\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −126.616 | − | 79.5580i | −0.314183 | − | 0.197414i | ||||
\(404\) | −74.6882 | − | 8.41534i | −0.184872 | − | 0.0208300i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 209.909 | − | 190.876i | 0.517017 | − | 0.470138i | ||||
\(407\) | 131.488 | 0.323065 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 82.4668 | − | 131.245i | 0.201630 | − | 0.320893i | −0.730569 | − | 0.682839i | \(-0.760745\pi\) |
0.932199 | + | 0.361947i | \(0.117888\pi\) | |||||||
\(410\) | 172.716 | + | 39.4213i | 0.421259 | + | 0.0961496i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −85.8164 | − | 68.4363i | −0.208292 | − | 0.166107i | ||||
\(413\) | −102.944 | − | 451.029i | −0.249260 | − | 1.09208i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −212.876 | − | 442.041i | −0.512953 | − | 1.06516i | ||||
\(416\) | 166.065 | + | 264.292i | 0.399196 | + | 0.635316i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 248.611 | − | 248.611i | 0.594763 | − | 0.594763i | ||||
\(419\) | −149.598 | + | 310.643i | −0.357035 | + | 0.741390i | −0.999693 | − | 0.0247624i | \(-0.992117\pi\) |
0.642659 | + | 0.766153i | \(0.277831\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −66.7338 | − | 592.279i | −0.158513 | − | 1.40684i | −0.781158 | − | 0.624334i | \(-0.785371\pi\) |
0.622645 | − | 0.782504i | \(-0.286058\pi\) | |||||||
\(422\) | −62.5963 | − | 30.1448i | −0.148332 | − | 0.0714331i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 329.163 | − | 115.179i | 0.776328 | − | 0.271649i | ||||
\(425\) | −445.775 | + | 280.099i | −1.04888 | + | 0.659057i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 410.307 | + | 143.572i | 0.960905 | + | 0.336235i | ||||
\(428\) | −133.782 | + | 30.5349i | −0.312575 | + | 0.0713433i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 302.364 | + | 379.152i | 0.703171 | + | 0.881749i | ||||
\(431\) | 61.6978 | − | 270.316i | 0.143150 | − | 0.627183i | −0.851542 | − | 0.524287i | \(-0.824332\pi\) |
0.994692 | − | 0.102896i | \(-0.0328109\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −318.885 | − | 35.9297i | −0.736454 | − | 0.0829785i | −0.264233 | − | 0.964459i | \(-0.585119\pi\) |
−0.472221 | + | 0.881480i | \(0.656547\pi\) | |||||||
\(434\) | − | 115.993i | − | 0.267266i | ||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −121.659 | −0.279035 | ||||||||
\(437\) | 7.29647 | − | 64.7580i | 0.0166967 | − | 0.148188i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −589.295 | − | 134.503i | −1.34236 | − | 0.306384i | −0.509785 | − | 0.860302i | \(-0.670275\pi\) |
−0.832572 | + | 0.553917i | \(0.813132\pi\) | |||||||
\(440\) | 826.200 | − | 658.873i | 1.87773 | − | 1.49744i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −69.8786 | − | 306.158i | −0.158096 | − | 0.692665i | ||||
\(443\) | 286.372 | − | 818.404i | 0.646438 | − | 1.84741i | 0.129098 | − | 0.991632i | \(-0.458792\pi\) |
0.517339 | − | 0.855781i | \(-0.326923\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 388.744 | + | 618.683i | 0.873582 | + | 1.39030i | ||||
\(446\) | 70.3733 | + | 201.115i | 0.157788 | + | 0.450931i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −177.160 | + | 367.877i | −0.395447 | + | 0.821154i | ||||
\(449\) | −583.687 | + | 65.7657i | −1.29997 | + | 0.146472i | −0.734677 | − | 0.678417i | \(-0.762666\pi\) |
−0.565295 | + | 0.824889i | \(0.691238\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −223.593 | − | 107.677i | −0.495771 | − | 0.238751i | ||||
\(452\) | 45.0035 | + | 45.0035i | 0.0995652 | + | 0.0995652i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −38.6075 | + | 24.2587i | −0.0850384 | + | 0.0534332i | ||||
\(455\) | 551.891 | − | 265.777i | 1.21295 | − | 0.584125i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 30.9403 | − | 7.06192i | 0.0677030 | − | 0.0154528i | −0.188535 | − | 0.982066i | \(-0.560374\pi\) |
0.256238 | + | 0.966614i | \(0.417517\pi\) | |||||||
\(458\) | −281.830 | + | 353.403i | −0.615349 | + | 0.771623i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 12.8815 | − | 56.4373i | 0.0280032 | − | 0.122690i | ||||
\(461\) | 26.3626 | + | 16.5647i | 0.0571858 | + | 0.0359322i | 0.560322 | − | 0.828275i | \(-0.310678\pi\) |
−0.503136 | + | 0.864207i | \(0.667820\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 492.788i | − | 1.06434i | −0.846638 | − | 0.532169i | \(-0.821377\pi\) | ||
0.846638 | − | 0.532169i | \(-0.178623\pi\) | |||||||
\(464\) | 184.735 | − | 33.0336i | 0.398135 | − | 0.0711932i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −17.5445 | + | 155.712i | −0.0376492 | + | 0.334146i | ||||
\(467\) | −70.6660 | + | 112.464i | −0.151319 | + | 0.240823i | −0.913778 | − | 0.406214i | \(-0.866849\pi\) |
0.762459 | + | 0.647036i | \(0.223992\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −473.352 | + | 377.486i | −1.00928 | + | 0.804874i | ||||
\(470\) | −269.329 | − | 214.783i | −0.573040 | − | 0.456984i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 205.904 | − | 588.441i | 0.436238 | − | 1.24670i | ||||
\(473\) | −294.755 | − | 612.064i | −0.623160 | − | 1.29401i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −152.069 | − | 434.589i | −0.320146 | − | 0.914924i | ||||
\(476\) | −124.492 | + | 124.492i | −0.261538 | + | 0.261538i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −560.770 | + | 63.1836i | −1.17316 | + | 0.132183i | ||||
\(479\) | −20.8876 | − | 185.382i | −0.0436066 | − | 0.387020i | −0.996492 | − | 0.0836888i | \(-0.973330\pi\) |
0.952885 | − | 0.303331i | \(-0.0980987\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 72.6264 | + | 72.6264i | 0.150990 | + | 0.150990i | ||||
\(482\) | −76.9820 | + | 26.9372i | −0.159714 | + | 0.0558863i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −211.231 | + | 101.724i | −0.436429 | + | 0.210173i | ||||
\(485\) | 853.784 | + | 298.752i | 1.76038 | + | 0.615983i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 348.899 | − | 437.506i | 0.716426 | − | 0.898369i | −0.281704 | − | 0.959501i | \(-0.590900\pi\) |
0.998130 | + | 0.0611319i | \(0.0194710\pi\) | |||||||
\(488\) | 365.235 | + | 457.990i | 0.748433 | + | 0.938505i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −75.8982 | − | 47.6900i | −0.154894 | − | 0.0973266i | ||||
\(491\) | −244.577 | − | 27.5572i | −0.498121 | − | 0.0561247i | −0.140670 | − | 0.990057i | \(-0.544926\pi\) |
−0.357451 | + | 0.933932i | \(0.616354\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 467.837 | + | 75.3326i | 0.948960 | + | 0.152805i | ||||
\(494\) | 274.637 | 0.555946 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 40.8195 | − | 64.9639i | 0.0822974 | − | 0.130976i | ||||
\(497\) | 199.565 | + | 45.5495i | 0.401540 | + | 0.0916489i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −414.297 | − | 330.391i | −0.830254 | − | 0.662106i | 0.113213 | − | 0.993571i | \(-0.463886\pi\) |
−0.943468 | + | 0.331465i | \(0.892457\pi\) | |||||||
\(500\) | −20.3930 | − | 89.3475i | −0.0407859 | − | 0.178695i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 241.376 | + | 501.221i | 0.480828 | + | 0.998449i | ||||
\(503\) | 337.253 | + | 536.736i | 0.670484 | + | 1.06707i | 0.992724 | + | 0.120411i | \(0.0384212\pi\) |
−0.322240 | + | 0.946658i | \(0.604436\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −239.562 | + | 239.562i | −0.474379 | + | 0.474379i | ||||
\(506\) | 48.6808 | − | 101.087i | 0.0962070 | − | 0.199776i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −9.20654 | − | 81.7103i | −0.0181231 | − | 0.160847i | ||||
\(509\) | −480.177 | − | 231.241i | −0.943374 | − | 0.454305i | −0.102016 | − | 0.994783i | \(-0.532529\pi\) |
−0.841358 | + | 0.540478i | \(0.818244\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 809.047 | − | 283.098i | 1.58326 | − | 0.554007i | ||||
\(512\) | −325.234 | + | 204.358i | −0.635223 | + | 0.399137i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −613.062 | − | 214.520i | −1.19273 | − | 0.417353i | ||||
\(515\) | −482.359 | + | 110.095i | −0.936619 | + | 0.213777i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 300.875 | + | 377.285i | 0.581964 | + | 0.729759i | ||||
\(518\) | −17.7283 | + | 77.6728i | −0.0342245 | + | 0.149947i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 820.271 | + | 92.4223i | 1.57744 | + | 0.177735i | ||||
\(521\) | − | 491.340i | − | 0.943071i | −0.881847 | − | 0.471535i | \(-0.843700\pi\) | ||
0.881847 | − | 0.471535i | \(-0.156300\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −633.523 | −1.21133 | −0.605663 | − | 0.795721i | \(-0.707092\pi\) | ||||
−0.605663 | + | 0.795721i | \(0.707092\pi\) | |||||||
\(524\) | −16.5444 | + | 146.835i | −0.0315732 | + | 0.280220i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 26.4638 | + | 6.04020i | 0.0503115 | + | 0.0114833i | ||||
\(527\) | 151.465 | − | 120.790i | 0.287411 | − | 0.229202i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 113.086 | + | 495.462i | 0.213773 | + | 0.936601i | ||||
\(530\) | 153.440 | − | 438.507i | 0.289510 | − | 0.827371i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −81.9184 | − | 130.372i | −0.153982 | − | 0.245061i | ||||
\(533\) | −64.0256 | − | 182.975i | −0.120123 | − | 0.343292i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −268.374 | + | 557.284i | −0.501634 | + | 1.04165i | ||||
\(536\) | −810.746 | + | 91.3492i | −1.51259 | + | 0.170428i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −289.700 | − | 139.512i | −0.538476 | − | 0.259316i | ||||
\(539\) | 88.7896 | + | 88.7896i | 0.164730 | + | 0.164730i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −450.657 | + | 283.166i | −0.833007 | + | 0.523413i | −0.879718 | − | 0.475496i | \(-0.842269\pi\) |
0.0467114 | + | 0.998908i | \(0.485126\pi\) | |||||||
\(542\) | 434.765 | − | 209.372i | 0.802149 | − | 0.386294i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −394.247 | + | 89.9843i | −0.724719 | + | 0.165412i | ||||
\(545\) | −341.913 | + | 428.745i | −0.627362 | + | 0.786688i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 93.5855 | − | 410.025i | 0.171089 | − | 0.749588i | −0.814463 | − | 0.580215i | \(-0.802969\pi\) |
0.985552 | − | 0.169373i | \(-0.0541743\pi\) | |||||||
\(548\) | −70.9231 | − | 44.5640i | −0.129422 | − | 0.0813211i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | − | 792.705i | − | 1.44128i | ||||||
\(551\) | −155.275 | + | 384.230i | −0.281805 | + | 0.697333i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 63.1439 | − | 560.418i | 0.114184 | − | 1.01341i | ||||
\(554\) | −437.732 | + | 696.646i | −0.790130 | + | 1.25748i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.95371 | − | 5.54540i | 0.0125067 | − | 0.00997374i | ||||
\(557\) | −436.339 | − | 347.969i | −0.783374 | − | 0.624720i | 0.147915 | − | 0.989000i | \(-0.452744\pi\) |
−0.931289 | + | 0.364280i | \(0.881315\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 175.264 | − | 500.876i | 0.313531 | − | 0.896022i | ||||
\(560\) | 136.364 | + | 283.164i | 0.243508 | + | 0.505650i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −99.5534 | − | 284.507i | −0.177141 | − | 0.506241i | ||||
\(563\) | 624.348 | − | 624.348i | 1.10897 | − | 1.10897i | 0.115679 | − | 0.993287i | \(-0.463096\pi\) |
0.993287 | − | 0.115679i | \(-0.0369044\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 285.077 | − | 32.1205i | 0.504561 | − | 0.0568504i | ||||
\(566\) | −27.1459 | − | 240.927i | −0.0479610 | − | 0.425666i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 195.052 | + | 195.052i | 0.343402 | + | 0.343402i | ||||
\(569\) | −994.025 | + | 347.824i | −1.74697 | + | 0.611290i | −0.998645 | − | 0.0520443i | \(-0.983426\pi\) |
−0.748323 | + | 0.663335i | \(0.769141\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 383.661 | − | 184.761i | 0.671911 | − | 0.323575i | −0.0666361 | − | 0.997777i | \(-0.521227\pi\) |
0.738547 | + | 0.674202i | \(0.235512\pi\) | |||||||
\(572\) | −322.572 | − | 112.873i | −0.563937 | − | 0.197330i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 93.7538 | − | 117.563i | 0.163334 | − | 0.204814i | ||||
\(575\) | −91.6092 | − | 114.874i | −0.159320 | − | 0.199781i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 174.128 | + | 109.412i | 0.301782 | + | 0.189622i | 0.674407 | − | 0.738360i | \(-0.264399\pi\) |
−0.372625 | + | 0.927982i | \(0.621542\pi\) | |||||||
\(578\) | −33.3126 | − | 3.75343i | −0.0576343 | − | 0.00649382i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −175.279 | + | 323.724i | −0.302205 | + | 0.558144i | ||||
\(581\) | −416.439 | −0.716762 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −346.245 | + | 551.045i | −0.593901 | + | 0.945189i | ||||
\(584\) | 1126.11 | + | 257.027i | 1.92827 | + | 0.440115i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 294.253 | + | 234.659i | 0.502138 | + | 0.400442i | ||||
\(587\) | 110.905 | + | 485.906i | 0.188935 | + | 0.827778i | 0.977179 | + | 0.212416i | \(0.0681331\pi\) |
−0.788244 | + | 0.615362i | \(0.789010\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 73.5124 | + | 152.650i | 0.124809 | + | 0.259168i | ||||
\(590\) | −441.863 | − | 703.221i | −0.748920 | − | 1.19190i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −37.2631 | + | 37.2631i | −0.0629444 | + | 0.0629444i | ||||
\(593\) | −27.9471 | + | 58.0328i | −0.0471283 | + | 0.0978630i | −0.923203 | − | 0.384312i | \(-0.874439\pi\) |
0.876075 | + | 0.482175i | \(0.160153\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 88.8543 | + | 788.604i | 0.149335 | + | 1.32538i | ||||
\(596\) | −188.238 | − | 90.6509i | −0.315836 | − | 0.152099i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 82.7231 | − | 28.9461i | 0.138333 | − | 0.0484048i | ||||
\(599\) | 693.663 | − | 435.857i | 1.15803 | − | 0.727641i | 0.190826 | − | 0.981624i | \(-0.438883\pi\) |
0.967209 | + | 0.253983i | \(0.0817406\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −311.390 | − | 108.960i | −0.518119 | − | 0.181298i | 0.0585361 | − | 0.998285i | \(-0.481357\pi\) |
−0.576655 | + | 0.816988i | \(0.695642\pi\) | |||||||
\(602\) | 401.302 | − | 91.5946i | 0.666615 | − | 0.152150i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 156.118 | + | 195.766i | 0.258474 | + | 0.324116i | ||||
\(605\) | −235.158 | + | 1030.30i | −0.388692 | + | 1.70297i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −344.589 | − | 38.8258i | −0.567692 | − | 0.0639635i | −0.176546 | − | 0.984292i | \(-0.556492\pi\) |
−0.391145 | + | 0.920329i | \(0.627921\pi\) | |||||||
\(608\) | − | 353.657i | − | 0.581673i | ||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 780.384 | 1.27932 | ||||||||
\(611\) | −42.2048 | + | 374.578i | −0.0690750 | + | 0.613057i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −869.396 | − | 198.434i | −1.41826 | − | 0.323710i | −0.556428 | − | 0.830896i | \(-0.687829\pi\) |
−0.861837 | + | 0.507186i | \(0.830686\pi\) | |||||||
\(614\) | 380.909 | − | 303.764i | 0.620372 | − | 0.494730i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −199.591 | − | 874.467i | −0.324012 | − | 1.41959i | ||||
\(617\) | −130.369 | + | 372.572i | −0.211294 | + | 0.603845i | −0.999939 | − | 0.0110041i | \(-0.996497\pi\) |
0.788645 | + | 0.614849i | \(0.210783\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 547.850 | + | 871.898i | 0.885057 | + | 1.40856i | 0.912562 | + | 0.408938i | \(0.134101\pi\) |
−0.0275057 | + | 0.999622i | \(0.508756\pi\) | |||||||
\(620\) | 49.7083 | + | 142.058i | 0.0801748 | + | 0.229126i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −50.6918 | + | 105.263i | −0.0814980 | + | 0.169232i | ||||
\(623\) | 616.290 | − | 69.4393i | 0.989230 | − | 0.111459i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 353.533 | + | 170.252i | 0.565652 | + | 0.272404i | ||||
\(626\) | 595.106 | + | 595.106i | 0.950649 | + | 0.950649i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 225.174 | − | 141.486i | 0.358558 | − | 0.225297i | ||||
\(629\) | −119.887 | + | 57.7347i | −0.190600 | + | 0.0917881i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −75.0733 | + | 17.1350i | −0.118975 | + | 0.0271553i | −0.281594 | − | 0.959534i | \(-0.590863\pi\) |
0.162619 | + | 0.986689i | \(0.448006\pi\) | |||||||
\(632\) | 473.842 | − | 594.179i | 0.749750 | − | 0.940157i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.47907 | + | 10.8615i | −0.00391021 | + | 0.0171317i | ||||
\(635\) | −313.833 | − | 197.194i | −0.494226 | − | 0.310542i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 98.0848i | 0.153979i | ||||||||
\(638\) | −470.817 | + | 536.103i | −0.737958 | + | 0.840287i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.76896 | − | 15.7000i | 0.00276400 | − | 0.0245312i | ||||
\(641\) | 57.7855 | − | 91.9651i | 0.0901490 | − | 0.143471i | −0.798605 | − | 0.601855i | \(-0.794429\pi\) |
0.888754 | + | 0.458384i | \(0.151571\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 353.051 | − | 281.549i | 0.549069 | − | 0.437868i | −0.309253 | − | 0.950980i | \(-0.600079\pi\) |
0.858322 | + | 0.513112i | \(0.171508\pi\) | |||||||
\(644\) | −38.4155 | − | 30.6353i | −0.0596513 | − | 0.0475703i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −117.515 | + | 335.840i | −0.181913 | + | 0.519876i | ||||
\(647\) | 353.316 | + | 733.668i | 0.546084 | + | 1.13395i | 0.973243 | + | 0.229778i | \(0.0738000\pi\) |
−0.427160 | + | 0.904176i | \(0.640486\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 384.254 | + | 1098.13i | 0.592070 | + | 1.69204i | ||||
\(650\) | 437.846 | − | 437.846i | 0.673609 | − | 0.673609i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −191.228 | + | 21.5462i | −0.293294 | + | 0.0330463i | ||||
\(653\) | 41.8389 | + | 371.331i | 0.0640719 | + | 0.568653i | 0.984203 | + | 0.177043i | \(0.0566533\pi\) |
−0.920131 | + | 0.391610i | \(0.871918\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 470.973 | + | 470.973i | 0.719043 | + | 0.719043i | ||||
\(656\) | 93.8804 | − | 32.8502i | 0.143110 | − | 0.0500765i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −263.438 | + | 126.865i | −0.400362 | + | 0.192804i | ||||
\(659\) | −874.680 | − | 306.064i | −1.32728 | − | 0.464436i | −0.428782 | − | 0.903408i | \(-0.641057\pi\) |
−0.898501 | + | 0.438971i | \(0.855343\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −560.439 | + | 702.769i | −0.847866 | + | 1.06319i | 0.149362 | + | 0.988783i | \(0.452278\pi\) |
−0.997228 | + | 0.0744073i | \(0.976293\pi\) | |||||||
\(662\) | 81.3904 | + | 102.060i | 0.122946 | + | 0.154170i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −475.167 | − | 298.567i | −0.715613 | − | 0.449650i | ||||
\(665\) | −689.676 | − | 77.7079i | −1.03711 | − | 0.116854i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.27320 | + | 132.099i | −0.00940510 | + | 0.198050i | ||||
\(668\) | 68.4545 | 0.102477 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −578.265 | + | 920.304i | −0.863083 | + | 1.37359i | ||||
\(671\) | −1065.78 | − | 243.258i | −1.58835 | − | 0.362530i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −481.293 | − | 383.819i | −0.715146 | − | 0.570310i | 0.196887 | − | 0.980426i | \(-0.436917\pi\) |
−0.912033 | + | 0.410116i | \(0.865488\pi\) | |||||||
\(674\) | −114.646 | − | 502.296i | −0.170097 | − | 0.745246i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 7.22671 | + | 15.0064i | 0.0106904 | + | 0.0221988i | ||||
\(677\) | 421.002 | + | 670.021i | 0.621864 | + | 0.989692i | 0.998005 | + | 0.0631292i | \(0.0201080\pi\) |
−0.376141 | + | 0.926562i | \(0.622749\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 542.892 | − | 542.892i | 0.799546 | − | 0.799546i | ||||
\(680\) | −464.007 | + | 963.521i | −0.682363 | + | 1.41694i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 32.6602 | + | 289.867i | 0.0478888 | + | 0.425025i | ||||
\(683\) | −241.679 | − | 116.387i | −0.353849 | − | 0.170405i | 0.248511 | − | 0.968629i | \(-0.420059\pi\) |
−0.602361 | + | 0.798224i | \(0.705773\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −356.373 | + | 124.700i | −0.520253 | + | 0.182044i | ||||
\(686\) | −470.328 | + | 295.527i | −0.685609 | + | 0.430797i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 256.989 | + | 89.9243i | 0.373530 | + | 0.130704i | ||||
\(689\) | −495.612 | + | 113.120i | −0.719321 | + | 0.164180i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.6882 | + | 13.4026i | 0.0154677 | + | 0.0193959i | 0.789505 | − | 0.613744i | \(-0.210337\pi\) |
−0.774037 | + | 0.633140i | \(0.781766\pi\) | |||||||
\(692\) | 34.6689 | − | 151.895i | 0.0500996 | − | 0.219501i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −148.868 | − | 16.7734i | −0.214507 | − | 0.0241691i | ||||
\(695\) | − | 40.0908i | − | 0.0576845i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 251.146 | 0.360325 | ||||||||
\(698\) | −91.2241 | + | 809.636i | −0.130693 | + | 1.15994i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −338.449 | − | 77.2488i | −0.483498 | − | 0.110355i | ||||
\(701\) | 554.998 | − | 442.596i | 0.791723 | − | 0.631378i | −0.141800 | − | 0.989895i | \(-0.545289\pi\) |
0.933523 | + | 0.358517i | \(0.116718\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −25.8953 | − | 113.455i | −0.0368354 | − | 0.161387i | ||||
\(704\) | 339.140 | − | 969.207i | 0.481733 | − | 1.37672i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 272.842 | + | 434.225i | 0.386461 | + | 0.615050i | ||||
\(707\) | 94.9756 | + | 271.425i | 0.134336 | + | 0.383910i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 397.216 | − | 824.828i | 0.560249 | − | 1.16337i | −0.407908 | − | 0.913023i | \(-0.633742\pi\) |
0.968157 | − | 0.250345i | \(-0.0805442\pi\) | |||||||
\(710\) | 365.167 | − | 41.1444i | 0.514320 | − | 0.0579499i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 752.987 | + | 362.620i | 1.05757 | + | 0.509297i | ||||
\(713\) | 38.2315 | + | 38.2315i | 0.0536206 | + | 0.0536206i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1304.34 | + | 819.571i | −1.82425 | + | 1.14625i | ||||
\(716\) | 502.058 | − | 241.778i | 0.701198 | − | 0.337679i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 365.838 | − | 83.5002i | 0.509524 | − | 0.116295i | ||||
\(719\) | 98.7345 | − | 123.809i | 0.137322 | − | 0.172196i | −0.708415 | − | 0.705796i | \(-0.750590\pi\) |
0.845737 | + | 0.533600i | \(0.179161\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −93.4475 | + | 409.420i | −0.129608 | + | 0.567851i | ||||
\(722\) | 202.287 | + | 127.106i | 0.280176 | + | 0.176046i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 40.1697i | − | 0.0554830i | ||||||
\(725\) | 365.017 | + | 860.117i | 0.503472 | + | 1.18637i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −85.2122 | + | 756.279i | −0.117211 | + | 1.04027i | 0.788107 | + | 0.615538i | \(0.211061\pi\) |
−0.905318 | + | 0.424735i | \(0.860367\pi\) | |||||||
\(728\) | 372.764 | − | 593.250i | 0.512038 | − | 0.814903i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1203.06 | − | 959.406i | 1.64802 | − | 1.31426i | ||||
\(731\) | 537.501 | + | 428.643i | 0.735296 | + | 0.586379i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 268.707 | − | 767.920i | 0.366585 | − | 1.04764i | −0.601901 | − | 0.798571i | \(-0.705590\pi\) |
0.968486 | − | 0.249069i | \(-0.0801245\pi\) | |||||||
\(734\) | −103.377 | − | 214.664i | −0.140840 | − | 0.292458i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −37.2745 | − | 106.525i | −0.0506448 | − | 0.144734i | ||||
\(737\) | 1076.62 | − | 1076.62i | 1.46081 | − | 1.46081i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1094.54 | − | 123.325i | 1.48111 | − | 0.166881i | 0.665900 | − | 0.746041i | \(-0.268048\pi\) |
0.815214 | + | 0.579160i | \(0.196619\pi\) | |||||||
\(740\) | −11.5742 | − | 102.724i | −0.0156408 | − | 0.138816i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −278.831 | − | 278.831i | −0.375784 | − | 0.375784i | ||||
\(743\) | 786.175 | − | 275.095i | 1.05811 | − | 0.370248i | 0.255534 | − | 0.966800i | \(-0.417749\pi\) |
0.802575 | + | 0.596552i | \(0.203463\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −848.495 | + | 408.614i | −1.13892 | + | 0.548475i | ||||
\(746\) | 844.433 | + | 295.480i | 1.13195 | + | 0.396085i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 276.053 | − | 346.159i | 0.369054 | − | 0.462780i | ||||
\(749\) | 327.337 | + | 410.468i | 0.437032 | + | 0.548021i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −163.686 | − | 102.851i | −0.217958 | − | 0.136952i | 0.418628 | − | 0.908158i | \(-0.362511\pi\) |
−0.636586 | + | 0.771206i | \(0.719654\pi\) | |||||||
\(752\) | −192.188 | − | 21.6544i | −0.255569 | − | 0.0287957i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −556.166 | + | 36.0604i | −0.737621 | + | 0.0478254i | ||||
\(755\) | 1128.67 | 1.49492 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 39.3932 | − | 62.6939i | 0.0520386 | − | 0.0828189i | −0.819692 | − | 0.572805i | \(-0.805855\pi\) |
0.871730 | + | 0.489986i | \(0.162998\pi\) | |||||||
\(758\) | 98.8369 | + | 22.5589i | 0.130392 | + | 0.0297611i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −731.225 | − | 583.132i | −0.962138 | − | 0.767279i | ||||
\(761\) | −158.627 | − | 694.991i | −0.208446 | − | 0.913261i | −0.965602 | − | 0.260026i | \(-0.916269\pi\) |
0.757156 | − | 0.653234i | \(-0.226588\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 201.957 | + | 419.367i | 0.264687 | + | 0.549629i | ||||
\(764\) | −101.567 | − | 161.643i | −0.132941 | − | 0.211574i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −29.1367 | + | 29.1367i | −0.0380375 | + | 0.0380375i | ||||
\(767\) | −394.307 | + | 818.788i | −0.514090 | + | 1.06752i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 54.5870 | + | 484.473i | 0.0709845 | + | 0.630004i | 0.977956 | + | 0.208812i | \(0.0669597\pi\) |
−0.906971 | + | 0.421192i | \(0.861612\pi\) | |||||||
\(770\) | −1076.58 | − | 518.453i | −1.39815 | − | 0.673316i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 346.585 | − | 121.275i | 0.448944 | − | 0.157092i | ||||
\(773\) | −929.493 | + | 584.039i | −1.20245 | + | 0.755549i | −0.975851 | − | 0.218439i | \(-0.929903\pi\) |
−0.226599 | + | 0.973988i | \(0.572761\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 360.564 | + | 126.167i | 0.465244 | + | 0.162796i | ||||
\(776\) | 1008.68 | − | 230.225i | 1.29985 | − | 0.296682i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −199.290 | − | 249.902i | −0.256157 | − | 0.321211i | ||||
\(779\) | −48.8747 | + | 214.134i | −0.0627403 | + | 0.274883i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −511.539 | − | 57.6366i | −0.654979 | − | 0.0737984i | ||||
\(782\) | 113.544i | 0.145197i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −50.3252 | −0.0641903 | ||||||||
\(785\) | 134.214 | − | 1191.18i | 0.170973 | − | 1.51743i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 600.614 | + | 137.086i | 0.763169 | + | 0.174188i | 0.586353 | − | 0.810056i | \(-0.300563\pi\) |
0.176816 | + | 0.984244i | \(0.443420\pi\) | |||||||
\(788\) | −328.396 | + | 261.887i | −0.416746 | + | 0.332344i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −225.289 | − | 987.056i | −0.285176 | − | 1.24944i | ||||
\(791\) | 80.4233 | − | 229.836i | 0.101673 | − | 0.290564i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −454.316 | − | 723.040i | −0.572908 | − | 0.911778i | ||||
\(794\) | −349.366 | − | 998.430i | −0.440007 | − | 1.25747i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 225.265 | − | 467.767i | 0.282996 | − | 0.587647i | ||||
\(797\) | 1072.38 | − | 120.828i | 1.34552 | − | 0.151604i | 0.590359 | − | 0.807141i | \(-0.298986\pi\) |
0.755163 | + | 0.655537i | \(0.227558\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −439.993 | − | 211.889i | −0.550680 | − | 0.265193i | ||||
\(800\) | −563.825 | − | 563.825i | −0.704781 | − | 0.704781i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 983.664 | − | 618.077i | 1.22651 | − | 0.770669i | ||||
\(803\) | −1942.09 | + | 935.263i | −2.41855 | + | 1.16471i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −215.927 | + | 49.2838i | −0.268232 | + | 0.0612222i | ||||
\(806\) | −142.067 | + | 178.146i | −0.176261 | + | 0.221025i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −86.2293 | + | 377.795i | −0.106719 | + | 0.467568i | ||||
\(809\) | 188.811 | + | 118.638i | 0.233388 | + | 0.146648i | 0.643649 | − | 0.765321i | \(-0.277420\pi\) |
−0.410261 | + | 0.911968i | \(0.634562\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 697.499i | 0.860048i | 0.902817 | + | 0.430024i | \(0.141495\pi\) | ||||
−0.902817 | + | 0.430024i | \(0.858505\pi\) | |||||||
\(812\) | 183.011 | + | 253.260i | 0.225383 | + | 0.311897i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 22.4327 | − | 199.096i | 0.0275586 | − | 0.244590i | ||||
\(815\) | −461.497 | + | 734.469i | −0.566254 | + | 0.901188i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −470.074 | + | 374.871i | −0.575366 | + | 0.458839i | ||||
\(818\) | −184.659 | − | 147.261i | −0.225745 | − | 0.180026i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −64.4400 | + | 184.159i | −0.0785854 | + | 0.224584i | ||||
\(821\) | −505.781 | − | 1050.27i | −0.616055 | − | 1.27925i | −0.942554 | − | 0.334054i | \(-0.891583\pi\) |
0.326499 | − | 0.945198i | \(-0.394131\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −240.718 | − | 687.933i | −0.292489 | − | 0.835885i | −0.992554 | − | 0.121806i | \(-0.961131\pi\) |
0.700065 | − | 0.714079i | \(-0.253154\pi\) | |||||||
\(824\) | −400.161 | + | 400.161i | −0.485632 | + | 0.485632i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −700.502 | + | 78.9276i | −0.848065 | + | 0.0955540i | ||||
\(827\) | −88.9721 | − | 789.649i | −0.107584 | − | 0.954836i | −0.925306 | − | 0.379222i | \(-0.876192\pi\) |
0.817722 | − | 0.575614i | \(-0.195237\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 18.8713 | + | 18.8713i | 0.0227640 | + | 0.0227640i | 0.718397 | − | 0.695633i | \(-0.244876\pi\) |
−0.695633 | + | 0.718397i | \(0.744876\pi\) | |||||||
\(830\) | −705.647 | + | 246.917i | −0.850178 | + | 0.297490i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 722.658 | − | 348.014i | 0.868579 | − | 0.418286i | ||||
\(833\) | −119.943 | − | 41.9698i | −0.143989 | − | 0.0503839i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 192.385 | − | 241.244i | 0.230402 | − | 0.288915i | ||||
\(836\) | 241.423 | + | 302.735i | 0.288783 | + | 0.362123i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 444.846 | + | 279.516i | 0.530843 | + | 0.333551i | ||||
\(839\) | −1184.37 | − | 133.446i | −1.41164 | − | 0.159054i | −0.627008 | − | 0.779013i | \(-0.715721\pi\) |
−0.784634 | + | 0.619959i | \(0.787149\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 263.996 | − | 798.491i | 0.313907 | − | 0.949454i | ||||
\(842\) | −908.202 | −1.07862 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 40.7090 | − | 64.7881i | 0.0482335 | − | 0.0767631i | ||||
\(845\) | 73.1948 | + | 16.7062i | 0.0866211 | + | 0.0197707i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 701.296 | + | 559.265i | 0.827977 | + | 0.660290i | ||||
\(848\) | −58.0397 | − | 254.288i | −0.0684430 | − | 0.299868i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 348.068 | + | 722.771i | 0.409492 | + | 0.850319i | ||||
\(851\) | −19.7577 | − | 31.4443i | −0.0232171 | − | 0.0369498i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 723.120 | − | 723.120i | 0.847738 | − | 0.847738i | −0.142113 | − | 0.989850i | \(-0.545390\pi\) |
0.989850 | + | 0.142113i | \(0.0453896\pi\) | |||||||
\(854\) | 287.396 | − | 596.784i | 0.336529 | − | 0.698810i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 79.2135 | + | 703.039i | 0.0925391 | + | 0.821308i | ||||
\(857\) | −274.867 | − | 132.369i | −0.320731 | − | 0.154456i | 0.266590 | − | 0.963810i | \(-0.414103\pi\) |
−0.587321 | + | 0.809354i | \(0.699817\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1406.36 | + | 492.106i | −1.63720 | + | 0.572882i | −0.983027 | − | 0.183460i | \(-0.941270\pi\) |
−0.654176 | + | 0.756342i | \(0.726985\pi\) | |||||||
\(860\) | −452.227 | + | 284.153i | −0.525845 | + | 0.330410i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −398.781 | − | 139.539i | −0.462623 | − | 0.161879i | ||||
\(863\) | 1181.05 | − | 269.567i | 1.36854 | − | 0.312360i | 0.525766 | − | 0.850629i | \(-0.323779\pi\) |
0.842773 | + | 0.538270i | \(0.180922\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −437.865 | − | 549.065i | −0.506202 | − | 0.634757i | ||||
\(866\) | −108.808 | + | 476.719i | −0.125644 | + | 0.550484i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 126.943 | + | 14.3030i | 0.146247 | + | 0.0164781i | ||||
\(869\) | 1418.26i | 1.63206i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1189.33 | 1.36547 | ||||||||
\(872\) | −70.2292 | + | 623.302i | −0.0805381 | + | 0.714795i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −96.8104 | − | 22.0963i | −0.110767 | − | 0.0252819i | ||||
\(875\) | −274.134 | + | 218.614i | −0.313296 | + | 0.249845i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 155.507 | + | 681.320i | 0.177317 | + | 0.776876i | 0.982862 | + | 0.184342i | \(0.0590154\pi\) |
−0.805545 | + | 0.592534i | \(0.798127\pi\) | |||||||
\(878\) | −304.199 | + | 869.351i | −0.346468 | + | 0.990150i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −420.505 | − | 669.230i | −0.477846 | − | 0.760488i | ||||
\(881\) | 290.040 | + | 828.888i | 0.329217 | + | 0.940849i | 0.982910 | + | 0.184089i | \(0.0589333\pi\) |
−0.653692 | + | 0.756760i | \(0.726781\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −303.884 | + | 631.021i | −0.344149 | + | 0.714634i | −0.999160 | − | 0.0409863i | \(-0.986950\pi\) |
0.655010 | + | 0.755620i | \(0.272664\pi\) | |||||||
\(884\) | 343.675 | − | 38.7229i | 0.388773 | − | 0.0438041i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1190.35 | − | 573.244i | −1.34351 | − | 0.647002i | ||||
\(887\) | 505.923 | + | 505.923i | 0.570376 | + | 0.570376i | 0.932233 | − | 0.361858i | \(-0.117857\pi\) |
−0.361858 | + | 0.932233i | \(0.617857\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −266.378 | + | 167.376i | −0.299637 | + | 0.188275i | ||||
\(890\) | 1003.12 | − | 483.077i | 1.12710 | − | 0.542783i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −228.778 | + | 52.2170i | −0.256477 | + | 0.0585392i | ||||
\(893\) | 266.288 | − | 333.915i | 0.298195 | − | 0.373925i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 558.928 | − | 2448.82i | 0.624500 | − | 2.73612i | ||||
\(896\) | −11.3548 | − | 7.13468i | −0.0126727 | − | 0.00796281i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 895.028i | 0.996690i | ||||||||
\(899\) | −168.913 | − | 299.478i | −0.187890 | − | 0.333124i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 73.7402 | − | 654.463i | 0.0818426 | − | 0.726374i | ||||
\(902\) | −201.188 | + | 320.189i | −0.223047 | + | 0.354977i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 256.547 | − | 204.589i | 0.283791 | − | 0.226316i | ||||
\(905\) | −141.564 | − | 112.893i | −0.156424 | − | 0.124744i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −438.151 | + | 1252.16i | −0.483077 | + | 1.38056i | 0.402225 | + | 0.915541i | \(0.368237\pi\) |
−0.885303 | + | 0.465015i | \(0.846049\pi\) | |||||||
\(908\) | −21.7880 | − | 45.2432i | −0.0239956 | − | 0.0498273i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −308.277 | − | 881.006i | −0.338766 | − | 0.968139i | ||||
\(911\) | 635.324 | − | 635.324i | 0.697392 | − | 0.697392i | −0.266455 | − | 0.963847i | \(-0.585852\pi\) |
0.963847 | + | 0.266455i | \(0.0858524\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1040.68 | − | 117.256i | 1.13985 | − | 0.128430i | ||||
\(914\) | −5.41438 | − | 48.0540i | −0.00592383 | − | 0.0525755i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −352.011 | − | 352.011i | −0.384292 | − | 0.384292i | ||||
\(917\) | 533.615 | − | 186.720i | 0.581914 | − | 0.203621i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 507.688 | − | 244.490i | 0.552435 | − | 0.266039i | −0.136773 | − | 0.990602i | \(-0.543673\pi\) |
0.689208 | + | 0.724564i | \(0.257959\pi\) | |||||||
\(920\) | −281.712 | − | 98.5752i | −0.306208 | − | 0.107147i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 29.5797 | − | 37.0917i | 0.0320821 | − | 0.0402297i | ||||
\(923\) | −250.710 | − | 314.381i | −0.271625 | − | 0.340607i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −222.162 | − | 139.593i | −0.240175 | − | 0.150912i | ||||
\(926\) | −746.170 | − | 84.0732i | −0.805799 | − | 0.0907918i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 46.4358 | + | 716.189i | 0.0500386 | + | 0.771755i | ||||
\(929\) | 1219.83 | 1.31306 | 0.656528 | − | 0.754301i | \(-0.272024\pi\) | ||||
0.656528 | + | 0.754301i | \(0.272024\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 59.1263 | − | 94.0989i | 0.0635083 | − | 0.101073i | ||||
\(932\) | −168.247 | − | 38.4013i | −0.180523 | − | 0.0412031i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 158.235 | + | 126.188i | 0.169416 | + | 0.135105i | ||||
\(935\) | −444.093 | − | 1945.70i | −0.474966 | − | 2.08096i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −446.623 | − | 927.423i | −0.476652 | − | 0.989779i | −0.991207 | − | 0.132321i | \(-0.957757\pi\) |
0.514555 | − | 0.857458i | \(-0.327957\pi\) | |||||||
\(938\) | 490.824 | + | 781.143i | 0.523267 | + | 0.832775i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 268.268 | − | 268.268i | 0.285391 | − | 0.285391i | ||||
\(941\) | 640.029 | − | 1329.03i | 0.680159 | − | 1.41236i | −0.219431 | − | 0.975628i | \(-0.570420\pi\) |
0.899590 | − | 0.436736i | \(-0.143866\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 7.84770 | + | 69.6503i | 0.00832206 | + | 0.0738603i | ||||
\(944\) | −420.103 | − | 202.311i | −0.445024 | − | 0.214312i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −977.063 | + | 341.889i | −1.03284 | + | 0.361405i | ||||
\(947\) | −1469.18 | + | 923.149i | −1.55141 | + | 0.974814i | −0.562413 | + | 0.826856i | \(0.690127\pi\) |
−0.988994 | + | 0.147957i | \(0.952730\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1589.29 | − | 556.117i | −1.67470 | − | 0.586003i | ||||
\(950\) | −683.990 | + | 156.116i | −0.719990 | + | 0.164333i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 565.952 | + | 709.681i | 0.594487 | + | 0.745463i | ||||
\(953\) | −36.8085 | + | 161.269i | −0.0386239 | + | 0.169222i | −0.990561 | − | 0.137070i | \(-0.956231\pi\) |
0.951937 | + | 0.306292i | \(0.0990885\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −855.097 | − | 96.3462i | −0.895389 | − | 0.100886i | ||||
\(956\) | − | 621.495i | − | 0.650100i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −284.266 | −0.296728 | ||||||||
\(959\) | −35.8811 | + | 318.454i | −0.0374151 | + | 0.332069i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 799.861 | + | 182.563i | 0.832321 | + | 0.189972i | ||||
\(962\) | 122.360 | − | 97.5788i | 0.127193 | − | 0.101433i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −19.9874 | − | 87.5705i | −0.0207338 | − | 0.0908407i | ||||
\(965\) | 546.654 | − | 1562.25i | 0.566481 | − | 1.61891i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −727.782 | − | 1158.26i | −0.752618 | − | 1.19779i | −0.974865 | − | 0.222795i | \(-0.928482\pi\) |
0.222247 | − | 0.974990i | \(-0.428661\pi\) | |||||||
\(968\) | 399.229 | + | 1140.93i | 0.412427 | + | 1.17865i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 598.026 | − | 1241.81i | 0.616521 | − | 1.28022i | ||||
\(971\) | −138.857 | + | 15.6455i | −0.143004 | + | 0.0161127i | −0.183177 | − | 0.983080i | \(-0.558638\pi\) |
0.0401720 | + | 0.999193i | \(0.487209\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −30.6586 | − | 14.7644i | −0.0315094 | − | 0.0151741i | ||||
\(974\) | −602.938 | − | 602.938i | −0.619033 | − | 0.619033i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 370.976 | − | 233.100i | 0.380099 | − | 0.238832i | ||||
\(977\) | 1183.23 | − | 569.814i | 1.21109 | − | 0.583228i | 0.284270 | − | 0.958744i | \(-0.408249\pi\) |
0.926816 | + | 0.375516i | \(0.122534\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1520.56 | + | 347.057i | −1.55317 | + | 0.354502i | ||||
\(980\) | 61.5507 | − | 77.1822i | 0.0628069 | − | 0.0787573i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −83.4533 | + | 365.633i | −0.0849830 | + | 0.372335i | ||||
\(983\) | 197.408 | + | 124.040i | 0.200822 | + | 0.126185i | 0.628689 | − | 0.777657i | \(-0.283592\pi\) |
−0.427867 | + | 0.903842i | \(0.640735\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1893.32i | 1.92216i | ||||||||
\(986\) | 193.884 | − | 695.538i | 0.196636 | − | 0.705413i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −33.8652 | + | 300.562i | −0.0342765 | + | 0.304213i | ||||
\(989\) | −102.080 | + | 162.459i | −0.103215 | + | 0.164266i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 757.063 | − | 603.738i | 0.763939 | − | 0.609221i | −0.162045 | − | 0.986783i | \(-0.551809\pi\) |
0.925984 | + | 0.377563i | \(0.123238\pi\) | |||||||
\(992\) | 229.403 | + | 182.943i | 0.231253 | + | 0.184418i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 103.017 | − | 294.407i | 0.103639 | − | 0.296184i | ||||
\(995\) | −1015.39 | − | 2108.48i | −1.02049 | − | 2.11908i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 277.571 | + | 793.254i | 0.278407 | + | 0.795640i | 0.995156 | + | 0.0983095i | \(0.0313435\pi\) |
−0.716749 | + | 0.697331i | \(0.754371\pi\) | |||||||
\(998\) | −570.953 | + | 570.953i | −0.572097 | + | 0.572097i | ||||
\(999\) | 0 | 0 |
(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 | 261.3.s.a.172.3 | 48 | ||
3.2 | odd | 2 | 29.3.f.a.27.2 | yes | 48 | ||
29.14 | odd | 28 | inner | 261.3.s.a.217.3 | 48 | ||
87.14 | even | 28 | 29.3.f.a.14.2 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.14.2 | ✓ | 48 | 87.14 | even | 28 | ||
29.3.f.a.27.2 | yes | 48 | 3.2 | odd | 2 | ||
261.3.s.a.172.3 | 48 | 1.1 | even | 1 | trivial | ||
261.3.s.a.217.3 | 48 | 29.14 | odd | 28 | inner |