Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(17,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.f (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 54) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 89.4 | ||
Character | \(\chi\) | \(=\) | 162.89 |
Dual form | 162.3.f.a.71.4 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39273 | + | 0.245576i | 0.696364 | + | 0.122788i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.87939 | + | 0.684040i | 0.469846 | + | 0.171010i | ||||
\(5\) | −5.54906 | − | 6.61311i | −1.10981 | − | 1.32262i | −0.941547 | − | 0.336880i | \(-0.890628\pi\) |
−0.168264 | − | 0.985742i | \(-0.553816\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 7.83131 | − | 2.85036i | 1.11876 | − | 0.407195i | 0.284560 | − | 0.958658i | \(-0.408153\pi\) |
0.834199 | + | 0.551463i | \(0.185930\pi\) | |||||||
\(8\) | 2.44949 | + | 1.41421i | 0.306186 | + | 0.176777i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −6.10431 | − | 10.5730i | −0.610431 | − | 1.05730i | ||||
\(11\) | 10.8191 | − | 12.8937i | 0.983551 | − | 1.17215i | −0.00151930 | − | 0.999999i | \(-0.500484\pi\) |
0.985070 | − | 0.172152i | \(-0.0550719\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.524960 | + | 2.97720i | 0.0403815 | + | 0.229015i | 0.998319 | − | 0.0579628i | \(-0.0184605\pi\) |
−0.957937 | + | 0.286978i | \(0.907349\pi\) | |||||||
\(14\) | 11.6069 | − | 2.04660i | 0.829062 | − | 0.146186i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.06418 | + | 2.57115i | 0.191511 | + | 0.160697i | ||||
\(17\) | −8.43596 | + | 4.87051i | −0.496233 | + | 0.286500i | −0.727157 | − | 0.686472i | \(-0.759159\pi\) |
0.230924 | + | 0.972972i | \(0.425825\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.84677 | − | 6.66281i | 0.202462 | − | 0.350674i | −0.746859 | − | 0.664982i | \(-0.768439\pi\) |
0.949321 | + | 0.314308i | \(0.101772\pi\) | |||||||
\(20\) | −5.90519 | − | 16.2244i | −0.295259 | − | 0.811218i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 18.2344 | − | 15.3005i | 0.828836 | − | 0.695476i | ||||
\(23\) | −10.1434 | + | 27.8689i | −0.441019 | + | 1.21169i | 0.497804 | + | 0.867290i | \(0.334140\pi\) |
−0.938823 | + | 0.344400i | \(0.888082\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −8.59998 | + | 48.7729i | −0.343999 | + | 1.95092i | ||||
\(26\) | 4.27534i | 0.164436i | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 16.6678 | 0.595279 | ||||||||
\(29\) | 10.5809 | + | 1.86569i | 0.364858 | + | 0.0643342i | 0.353072 | − | 0.935596i | \(-0.385137\pi\) |
0.0117860 | + | 0.999931i | \(0.496248\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −10.8017 | − | 3.93149i | −0.348441 | − | 0.126822i | 0.161870 | − | 0.986812i | \(-0.448248\pi\) |
−0.510311 | + | 0.859990i | \(0.670470\pi\) | |||||||
\(32\) | 3.63616 | + | 4.33340i | 0.113630 | + | 0.135419i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −12.9451 | + | 4.71163i | −0.380738 | + | 0.138577i | ||||
\(35\) | −62.3062 | − | 35.9725i | −1.78018 | − | 1.02779i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −11.5925 | − | 20.0787i | −0.313309 | − | 0.542668i | 0.665767 | − | 0.746160i | \(-0.268104\pi\) |
−0.979077 | + | 0.203492i | \(0.934771\pi\) | |||||||
\(38\) | 6.99373 | − | 8.33481i | 0.184046 | − | 0.219337i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.24001 | − | 24.0463i | −0.106000 | − | 0.601158i | ||||
\(41\) | 16.7264 | − | 2.94931i | 0.407960 | − | 0.0719344i | 0.0340976 | − | 0.999419i | \(-0.489144\pi\) |
0.373863 | + | 0.927484i | \(0.378033\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 18.0881 | + | 15.1778i | 0.420655 | + | 0.352971i | 0.828412 | − | 0.560119i | \(-0.189245\pi\) |
−0.407757 | + | 0.913090i | \(0.633689\pi\) | |||||||
\(44\) | 29.1530 | − | 16.8315i | 0.662567 | − | 0.382533i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −20.9710 | + | 36.3228i | −0.455891 | + | 0.789626i | ||||
\(47\) | 5.67901 | + | 15.6029i | 0.120830 | + | 0.331977i | 0.985331 | − | 0.170653i | \(-0.0545878\pi\) |
−0.864501 | + | 0.502631i | \(0.832366\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 15.6687 | − | 13.1476i | 0.319769 | − | 0.268318i | ||||
\(50\) | −23.9549 | + | 65.8155i | −0.479097 | + | 1.31631i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.04992 | + | 5.95439i | −0.0201908 | + | 0.114508i | ||||
\(53\) | 75.3383i | 1.42148i | 0.703456 | + | 0.710739i | \(0.251639\pi\) | ||||
−0.703456 | + | 0.710739i | \(0.748361\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −145.303 | −2.64187 | ||||||||
\(56\) | 23.2137 | + | 4.09321i | 0.414531 | + | 0.0730930i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 14.2781 | + | 5.19681i | 0.246174 | + | 0.0896001i | ||||
\(59\) | 38.6968 | + | 46.1170i | 0.655878 | + | 0.781645i | 0.986788 | − | 0.162017i | \(-0.0518001\pi\) |
−0.330910 | + | 0.943662i | \(0.607356\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 32.1023 | − | 11.6843i | 0.526267 | − | 0.191546i | −0.0652037 | − | 0.997872i | \(-0.520770\pi\) |
0.591471 | + | 0.806326i | \(0.298547\pi\) | |||||||
\(62\) | −14.0783 | − | 8.12813i | −0.227070 | − | 0.131099i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | + | 6.92820i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 16.7755 | − | 19.9923i | 0.258085 | − | 0.307573i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.53483 | + | 37.0609i | 0.0975348 | + | 0.553147i | 0.993941 | + | 0.109914i | \(0.0350575\pi\) |
−0.896406 | + | 0.443233i | \(0.853831\pi\) | |||||||
\(68\) | −19.1860 | + | 3.38302i | −0.282148 | + | 0.0497503i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −77.9416 | − | 65.4008i | −1.11345 | − | 0.934297i | ||||
\(71\) | −44.0325 | + | 25.4222i | −0.620175 | + | 0.358058i | −0.776937 | − | 0.629578i | \(-0.783228\pi\) |
0.156762 | + | 0.987636i | \(0.449894\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 49.2453 | − | 85.2954i | 0.674593 | − | 1.16843i | −0.301994 | − | 0.953310i | \(-0.597652\pi\) |
0.976588 | − | 0.215120i | \(-0.0690144\pi\) | |||||||
\(74\) | −11.2143 | − | 30.8110i | −0.151545 | − | 0.416365i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 11.7872 | − | 9.89063i | 0.155095 | − | 0.130140i | ||||
\(77\) | 47.9758 | − | 131.813i | 0.623063 | − | 1.71185i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −14.0913 | + | 79.9158i | −0.178371 | + | 1.01159i | 0.755809 | + | 0.654792i | \(0.227244\pi\) |
−0.934180 | + | 0.356801i | \(0.883867\pi\) | |||||||
\(80\) | − | 34.5312i | − | 0.431640i | ||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 24.0196 | 0.292921 | ||||||||
\(83\) | 15.8868 | + | 2.80127i | 0.191407 | + | 0.0337503i | 0.268530 | − | 0.963271i | \(-0.413462\pi\) |
−0.0771226 | + | 0.997022i | \(0.524573\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 79.0209 | + | 28.7612i | 0.929657 | + | 0.338368i | ||||
\(86\) | 21.4646 | + | 25.5805i | 0.249588 | + | 0.297448i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 44.7356 | − | 16.2824i | 0.508359 | − | 0.185027i | ||||
\(89\) | −14.0161 | − | 8.09222i | −0.157485 | − | 0.0909238i | 0.419187 | − | 0.907900i | \(-0.362315\pi\) |
−0.576671 | + | 0.816976i | \(0.695649\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 12.5972 | + | 21.8190i | 0.138431 | + | 0.239769i | ||||
\(92\) | −38.1269 | + | 45.4378i | −0.414422 | + | 0.493889i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.07761 | + | 23.1253i | 0.0433788 | + | 0.246014i | ||||
\(95\) | −65.4078 | + | 11.5332i | −0.688504 | + | 0.121402i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −101.648 | − | 85.2929i | −1.04792 | − | 0.879308i | −0.0550452 | − | 0.998484i | \(-0.517530\pi\) |
−0.992873 | + | 0.119176i | \(0.961975\pi\) | |||||||
\(98\) | 25.0509 | − | 14.4632i | 0.255622 | − | 0.147583i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −49.5253 | + | 85.7803i | −0.495253 | + | 0.857803i | ||||
\(101\) | 5.20626 | + | 14.3041i | 0.0515471 | + | 0.141625i | 0.962794 | − | 0.270235i | \(-0.0871015\pi\) |
−0.911247 | + | 0.411860i | \(0.864879\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −28.9968 | + | 24.3312i | −0.281522 | + | 0.236225i | −0.772604 | − | 0.634889i | \(-0.781046\pi\) |
0.491082 | + | 0.871113i | \(0.336602\pi\) | |||||||
\(104\) | −2.92451 | + | 8.03502i | −0.0281203 | + | 0.0772598i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −18.5013 | + | 104.926i | −0.174540 | + | 0.989866i | ||||
\(107\) | − | 118.659i | − | 1.10897i | −0.832195 | − | 0.554483i | \(-0.812916\pi\) | ||
0.832195 | − | 0.554483i | \(-0.187084\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 206.055 | 1.89042 | 0.945208 | − | 0.326468i | \(-0.105859\pi\) | ||||
0.945208 | + | 0.326468i | \(0.105859\pi\) | |||||||
\(110\) | −202.367 | − | 35.6828i | −1.83970 | − | 0.324389i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 31.3252 | + | 11.4015i | 0.279690 | + | 0.101799i | ||||
\(113\) | 45.6567 | + | 54.4116i | 0.404042 | + | 0.481519i | 0.929248 | − | 0.369457i | \(-0.120456\pi\) |
−0.525206 | + | 0.850975i | \(0.676012\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 240.586 | − | 87.5663i | 2.09206 | − | 0.761446i | ||||
\(116\) | 18.6093 | + | 10.7441i | 0.160425 | + | 0.0926215i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 42.5689 | + | 73.7315i | 0.360753 | + | 0.624843i | ||||
\(119\) | −52.1819 | + | 62.1880i | −0.438504 | + | 0.522588i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −28.1828 | − | 159.833i | −0.232916 | − | 1.32093i | ||||
\(122\) | 47.5792 | − | 8.38949i | 0.389993 | − | 0.0687663i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −17.6112 | − | 14.7776i | −0.142026 | − | 0.119174i | ||||
\(125\) | 183.357 | − | 105.861i | 1.46685 | − | 0.846888i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −19.1347 | + | 33.1422i | −0.150667 | + | 0.260963i | −0.931473 | − | 0.363811i | \(-0.881475\pi\) |
0.780806 | + | 0.624774i | \(0.214809\pi\) | |||||||
\(128\) | 3.86952 | + | 10.6314i | 0.0302306 | + | 0.0830579i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 28.2733 | − | 23.7241i | 0.217487 | − | 0.182493i | ||||
\(131\) | 74.5355 | − | 204.785i | 0.568973 | − | 1.56324i | −0.237137 | − | 0.971476i | \(-0.576209\pi\) |
0.806110 | − | 0.591765i | \(-0.201569\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 11.1339 | − | 63.1432i | 0.0837132 | − | 0.474761i | ||||
\(134\) | 53.2205i | 0.397168i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −27.5517 | −0.202586 | ||||||||
\(137\) | 181.295 | + | 31.9672i | 1.32332 | + | 0.233337i | 0.790277 | − | 0.612749i | \(-0.209936\pi\) |
0.533045 | + | 0.846087i | \(0.321048\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −228.486 | − | 83.1623i | −1.64379 | − | 0.598290i | −0.656092 | − | 0.754681i | \(-0.727792\pi\) |
−0.987695 | + | 0.156391i | \(0.950014\pi\) | |||||||
\(140\) | −92.4907 | − | 110.226i | −0.660648 | − | 0.787329i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −67.5683 | + | 24.5929i | −0.475833 | + | 0.173189i | ||||
\(143\) | 44.0665 | + | 25.4418i | 0.308157 | + | 0.177915i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −46.3758 | − | 80.3253i | −0.319833 | − | 0.553968i | ||||
\(146\) | 89.5318 | − | 106.700i | 0.613232 | − | 0.730821i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −8.05203 | − | 45.6653i | −0.0544056 | − | 0.308550i | ||||
\(149\) | −141.886 | + | 25.0183i | −0.952255 | + | 0.167908i | −0.628132 | − | 0.778107i | \(-0.716180\pi\) |
−0.324123 | + | 0.946015i | \(0.605069\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −77.8368 | − | 65.3129i | −0.515476 | − | 0.432535i | 0.347575 | − | 0.937652i | \(-0.387005\pi\) |
−0.863051 | + | 0.505117i | \(0.831449\pi\) | |||||||
\(152\) | 18.8453 | − | 10.8803i | 0.123982 | − | 0.0715810i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 99.1872 | − | 171.797i | 0.644073 | − | 1.11557i | ||||
\(155\) | 33.9398 | + | 93.2488i | 0.218966 | + | 0.601605i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −237.118 | + | 198.965i | −1.51030 | + | 1.26730i | −0.647143 | + | 0.762369i | \(0.724036\pi\) |
−0.863162 | + | 0.504927i | \(0.831519\pi\) | |||||||
\(158\) | −39.2508 | + | 107.841i | −0.248423 | + | 0.682535i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 8.48002 | − | 48.0926i | 0.0530001 | − | 0.300579i | ||||
\(161\) | 247.162i | 1.53517i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 160.056 | 0.981937 | 0.490969 | − | 0.871177i | \(-0.336643\pi\) | ||||
0.490969 | + | 0.871177i | \(0.336643\pi\) | |||||||
\(164\) | 33.4527 | + | 5.89862i | 0.203980 | + | 0.0359672i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 21.4381 | + | 7.80282i | 0.129145 | + | 0.0470050i | ||||
\(167\) | −160.019 | − | 190.703i | −0.958197 | − | 1.14193i | −0.989804 | − | 0.142434i | \(-0.954507\pi\) |
0.0316076 | − | 0.999500i | \(-0.489937\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 150.220 | − | 54.6756i | 0.888875 | − | 0.323524i | ||||
\(170\) | 102.992 | + | 59.4622i | 0.605833 | + | 0.349778i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 23.6124 | + | 40.8979i | 0.137281 | + | 0.237778i | ||||
\(173\) | −43.4383 | + | 51.7678i | −0.251088 | + | 0.299236i | −0.876836 | − | 0.480790i | \(-0.840350\pi\) |
0.625747 | + | 0.780026i | \(0.284794\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 71.6714 | + | 406.469i | 0.409551 | + | 2.32268i | ||||
\(176\) | 66.3031 | − | 11.6910i | 0.376722 | − | 0.0664262i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −17.5334 | − | 14.7123i | −0.0985024 | − | 0.0826533i | ||||
\(179\) | −203.717 | + | 117.616i | −1.13808 | + | 0.657073i | −0.945955 | − | 0.324297i | \(-0.894872\pi\) |
−0.192128 | + | 0.981370i | \(0.561539\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −108.916 | + | 188.647i | −0.601744 | + | 1.04225i | 0.390813 | + | 0.920470i | \(0.372194\pi\) |
−0.992557 | + | 0.121781i | \(0.961140\pi\) | |||||||
\(182\) | 12.1863 | + | 33.4815i | 0.0669576 | + | 0.183965i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −64.2588 | + | 53.9195i | −0.349233 | + | 0.293041i | ||||
\(185\) | −68.4556 | + | 188.080i | −0.370030 | + | 1.01665i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −28.4706 | + | 161.465i | −0.152249 | + | 0.863448i | ||||
\(188\) | 33.2086i | 0.176642i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −93.9276 | −0.494356 | ||||||||
\(191\) | −253.418 | − | 44.6844i | −1.32679 | − | 0.233950i | −0.535060 | − | 0.844814i | \(-0.679711\pi\) |
−0.791735 | + | 0.610864i | \(0.790822\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 72.0472 | + | 26.2230i | 0.373302 | + | 0.135871i | 0.521856 | − | 0.853034i | \(-0.325240\pi\) |
−0.148554 | + | 0.988904i | \(0.547462\pi\) | |||||||
\(194\) | −120.622 | − | 143.752i | −0.621765 | − | 0.740990i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 38.4410 | − | 13.9914i | 0.196127 | − | 0.0713845i | ||||
\(197\) | 211.300 | + | 121.994i | 1.07259 | + | 0.619260i | 0.928888 | − | 0.370361i | \(-0.120766\pi\) |
0.143702 | + | 0.989621i | \(0.454099\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −41.0539 | − | 71.1075i | −0.206301 | − | 0.357324i | 0.744245 | − | 0.667906i | \(-0.232809\pi\) |
−0.950547 | + | 0.310582i | \(0.899476\pi\) | |||||||
\(200\) | −90.0408 | + | 107.307i | −0.450204 | + | 0.536533i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.73817 | + | 21.2002i | 0.0185058 | + | 0.104952i | ||||
\(203\) | 88.1800 | − | 15.5485i | 0.434384 | − | 0.0765936i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −112.320 | − | 94.2474i | −0.547901 | − | 0.459743i | ||||
\(206\) | −46.3597 | + | 26.7658i | −0.225047 | + | 0.129931i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −6.04625 | + | 10.4724i | −0.0290685 | + | 0.0503481i | ||||
\(209\) | −44.2895 | − | 121.684i | −0.211911 | − | 0.582221i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 44.0427 | − | 36.9562i | 0.208733 | − | 0.175148i | −0.532427 | − | 0.846476i | \(-0.678720\pi\) |
0.741161 | + | 0.671328i | \(0.234276\pi\) | |||||||
\(212\) | −51.5344 | + | 141.590i | −0.243087 | + | 0.667876i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 29.1399 | − | 165.260i | 0.136168 | − | 0.772245i | ||||
\(215\) | − | 203.841i | − | 0.948098i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −95.7975 | −0.441463 | ||||||||
\(218\) | 286.979 | + | 50.6022i | 1.31642 | + | 0.232120i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −273.080 | − | 99.3930i | −1.24127 | − | 0.451786i | ||||
\(221\) | −18.9290 | − | 22.5587i | −0.0856516 | − | 0.102076i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −217.997 | + | 79.3444i | −0.977565 | + | 0.355805i | −0.780893 | − | 0.624665i | \(-0.785236\pi\) |
−0.196672 | + | 0.980469i | \(0.563013\pi\) | |||||||
\(224\) | 40.8276 | + | 23.5718i | 0.182266 | + | 0.105231i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 50.2253 | + | 86.9928i | 0.222236 | + | 0.384924i | ||||
\(227\) | −137.899 | + | 164.342i | −0.607485 | + | 0.723973i | −0.978865 | − | 0.204508i | \(-0.934440\pi\) |
0.371379 | + | 0.928481i | \(0.378885\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −68.6623 | − | 389.403i | −0.299835 | − | 1.70045i | −0.646871 | − | 0.762599i | \(-0.723923\pi\) |
0.347036 | − | 0.937852i | \(-0.387188\pi\) | |||||||
\(230\) | 356.576 | − | 62.8739i | 1.55033 | − | 0.273365i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 23.2792 | + | 19.5336i | 0.100342 | + | 0.0841966i | ||||
\(233\) | −82.9298 | + | 47.8796i | −0.355922 | + | 0.205492i | −0.667290 | − | 0.744798i | \(-0.732546\pi\) |
0.311368 | + | 0.950289i | \(0.399213\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 71.6708 | − | 124.138i | 0.304982 | − | 0.528245i | ||||
\(236\) | 41.1803 | + | 113.142i | 0.174493 | + | 0.479415i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −87.9471 | + | 73.7964i | −0.369526 | + | 0.310069i | ||||
\(239\) | 30.1617 | − | 82.8687i | 0.126200 | − | 0.346731i | −0.860462 | − | 0.509514i | \(-0.829825\pi\) |
0.986662 | + | 0.162784i | \(0.0520473\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −66.8780 | + | 379.284i | −0.277502 | + | 1.57379i | 0.453399 | + | 0.891308i | \(0.350211\pi\) |
−0.730901 | + | 0.682484i | \(0.760900\pi\) | |||||||
\(242\) | − | 229.525i | − | 0.948449i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 68.3251 | 0.280021 | ||||||||
\(245\) | −173.893 | − | 30.6620i | −0.709767 | − | 0.125151i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 21.8559 | + | 7.95489i | 0.0884854 | + | 0.0322060i | ||||
\(248\) | −20.8986 | − | 24.9060i | −0.0842687 | − | 0.100428i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 281.363 | − | 102.408i | 1.12545 | − | 0.409631i | ||||
\(251\) | 126.850 | + | 73.2368i | 0.505378 | + | 0.291780i | 0.730932 | − | 0.682451i | \(-0.239086\pi\) |
−0.225554 | + | 0.974231i | \(0.572419\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 249.589 | + | 432.301i | 0.986518 | + | 1.70870i | ||||
\(254\) | −34.7883 | + | 41.4591i | −0.136962 | + | 0.163225i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.77837 | + | 15.7569i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −204.456 | + | 36.0511i | −0.795548 | + | 0.140277i | −0.556627 | − | 0.830762i | \(-0.687905\pi\) |
−0.238921 | + | 0.971039i | \(0.576794\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −148.016 | − | 124.200i | −0.571489 | − | 0.479536i | ||||
\(260\) | 45.2031 | − | 26.0980i | 0.173858 | − | 0.100377i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 154.098 | − | 266.905i | 0.588160 | − | 1.01872i | ||||
\(263\) | 11.3833 | + | 31.2753i | 0.0432825 | + | 0.118918i | 0.959451 | − | 0.281876i | \(-0.0909567\pi\) |
−0.916168 | + | 0.400794i | \(0.868734\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 498.221 | − | 418.057i | 1.88008 | − | 1.57757i | ||||
\(266\) | 31.0129 | − | 85.2071i | 0.116590 | − | 0.320328i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −13.0697 | + | 74.1217i | −0.0487674 | + | 0.276574i | ||||
\(269\) | − | 399.099i | − | 1.48364i | −0.670599 | − | 0.741820i | \(-0.733963\pi\) | ||
0.670599 | − | 0.741820i | \(-0.266037\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −83.9974 | −0.309954 | −0.154977 | − | 0.987918i | \(-0.549530\pi\) | ||||
−0.154977 | + | 0.987918i | \(0.549530\pi\) | |||||||
\(272\) | −38.3721 | − | 6.76604i | −0.141074 | − | 0.0248751i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 244.645 | + | 89.0434i | 0.892864 | + | 0.324976i | ||||
\(275\) | 535.817 | + | 638.562i | 1.94843 | + | 2.32204i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −168.403 | + | 61.2936i | −0.607953 | + | 0.221277i | −0.627607 | − | 0.778530i | \(-0.715966\pi\) |
0.0196546 | + | 0.999807i | \(0.493743\pi\) | |||||||
\(278\) | −297.797 | − | 171.933i | −1.07121 | − | 0.618465i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −101.746 | − | 176.228i | −0.363377 | − | 0.629387i | ||||
\(281\) | 298.873 | − | 356.183i | 1.06361 | − | 1.26756i | 0.101513 | − | 0.994834i | \(-0.467632\pi\) |
0.962093 | − | 0.272722i | \(-0.0879239\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 45.4847 | + | 257.956i | 0.160723 | + | 0.911507i | 0.953365 | + | 0.301819i | \(0.0975939\pi\) |
−0.792642 | + | 0.609687i | \(0.791295\pi\) | |||||||
\(284\) | −100.144 | + | 17.6580i | −0.352619 | + | 0.0621762i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 55.1248 | + | 46.2552i | 0.192744 | + | 0.161731i | ||||
\(287\) | 122.583 | − | 70.7732i | 0.427118 | − | 0.246596i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −97.0563 | + | 168.107i | −0.335835 | + | 0.581683i | ||||
\(290\) | −44.8630 | − | 123.260i | −0.154700 | − | 0.425035i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 150.896 | − | 126.617i | 0.516769 | − | 0.433620i | ||||
\(293\) | 33.5970 | − | 92.3071i | 0.114666 | − | 0.315041i | −0.869063 | − | 0.494701i | \(-0.835278\pi\) |
0.983729 | + | 0.179660i | \(0.0574997\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 90.2463 | − | 511.812i | 0.305920 | − | 1.73496i | ||||
\(296\) | − | 65.5768i | − | 0.221543i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −203.753 | −0.683733 | ||||||||
\(299\) | −88.2960 | − | 15.5690i | −0.295304 | − | 0.0520701i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 184.916 | + | 67.3039i | 0.614339 | + | 0.223601i | ||||
\(302\) | −92.3663 | − | 110.078i | −0.305849 | − | 0.364496i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 28.9183 | − | 10.5254i | 0.0951259 | − | 0.0346230i | ||||
\(305\) | −255.407 | − | 147.459i | −0.837400 | − | 0.483473i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −246.426 | − | 426.822i | −0.802690 | − | 1.39030i | −0.917840 | − | 0.396952i | \(-0.870068\pi\) |
0.115150 | − | 0.993348i | \(-0.463265\pi\) | |||||||
\(308\) | 180.330 | − | 214.909i | 0.585487 | − | 0.697757i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 24.3693 | + | 138.205i | 0.0786106 | + | 0.445823i | ||||
\(311\) | 16.6486 | − | 2.93559i | 0.0535324 | − | 0.00943921i | −0.146818 | − | 0.989164i | \(-0.546903\pi\) |
0.200350 | + | 0.979724i | \(0.435792\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 319.525 | + | 268.113i | 1.02085 | + | 0.856591i | 0.989734 | − | 0.142925i | \(-0.0456507\pi\) |
0.0311120 | + | 0.999516i | \(0.490095\pi\) | |||||||
\(314\) | −379.102 | + | 218.875i | −1.20733 | + | 0.697053i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −81.1487 | + | 140.554i | −0.256800 | + | 0.444790i | ||||
\(317\) | −155.193 | − | 426.388i | −0.489567 | − | 1.34507i | −0.901074 | − | 0.433666i | \(-0.857220\pi\) |
0.411507 | − | 0.911407i | \(-0.365003\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 138.531 | − | 116.241i | 0.434265 | − | 0.364392i | ||||
\(320\) | 23.6207 | − | 64.8975i | 0.0738148 | − | 0.202805i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −60.6970 | + | 344.230i | −0.188500 | + | 1.06904i | ||||
\(323\) | 74.9429i | 0.232021i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −149.721 | −0.460680 | ||||||||
\(326\) | 222.914 | + | 39.3058i | 0.683786 | + | 0.120570i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 45.1420 | + | 16.4303i | 0.137628 | + | 0.0500925i | ||||
\(329\) | 88.9481 | + | 106.004i | 0.270359 | + | 0.322201i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 220.616 | − | 80.2978i | 0.666515 | − | 0.242591i | 0.0134681 | − | 0.999909i | \(-0.495713\pi\) |
0.653046 | + | 0.757318i | \(0.273491\pi\) | |||||||
\(332\) | 27.9412 | + | 16.1319i | 0.0841604 | + | 0.0485900i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −176.031 | − | 304.894i | −0.527038 | − | 0.912857i | ||||
\(335\) | 208.825 | − | 248.868i | 0.623360 | − | 0.742891i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −55.0894 | − | 312.428i | −0.163470 | − | 0.927085i | −0.950628 | − | 0.310333i | \(-0.899559\pi\) |
0.787158 | − | 0.616752i | \(-0.211552\pi\) | |||||||
\(338\) | 222.643 | − | 39.2579i | 0.658706 | − | 0.116148i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 128.837 | + | 108.107i | 0.378932 | + | 0.317961i | ||||
\(341\) | −167.555 | + | 96.7381i | −0.491365 | + | 0.283689i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −118.950 | + | 206.027i | −0.346793 | + | 0.600662i | ||||
\(344\) | 22.8421 | + | 62.7583i | 0.0664016 | + | 0.182437i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −73.2107 | + | 61.4310i | −0.211592 | + | 0.177546i | ||||
\(347\) | 15.0965 | − | 41.4774i | 0.0435059 | − | 0.119531i | −0.916037 | − | 0.401093i | \(-0.868630\pi\) |
0.959543 | + | 0.281562i | \(0.0908525\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 57.3986 | − | 325.523i | 0.164466 | − | 0.932732i | −0.785148 | − | 0.619309i | \(-0.787413\pi\) |
0.949614 | − | 0.313423i | \(-0.101476\pi\) | |||||||
\(350\) | 583.701i | 1.66772i | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 95.2132 | 0.270492 | ||||||||
\(353\) | 466.298 | + | 82.2209i | 1.32096 | + | 0.232920i | 0.789283 | − | 0.614029i | \(-0.210452\pi\) |
0.531673 | + | 0.846949i | \(0.321563\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 412.458 | + | 150.123i | 1.16185 | + | 0.422880i | ||||
\(356\) | −20.8063 | − | 24.7960i | −0.0584447 | − | 0.0696517i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −312.606 | + | 113.779i | −0.873201 | + | 0.317819i | ||||
\(359\) | −378.055 | − | 218.270i | −1.05308 | − | 0.607994i | −0.129568 | − | 0.991571i | \(-0.541359\pi\) |
−0.923509 | + | 0.383576i | \(0.874692\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 150.905 | + | 261.375i | 0.418018 | + | 0.724029i | ||||
\(362\) | −198.017 | + | 235.988i | −0.547009 | + | 0.651899i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 8.74994 | + | 49.6234i | 0.0240383 | + | 0.136328i | ||||
\(365\) | −837.333 | + | 147.644i | −2.29406 | + | 0.404505i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 365.154 | + | 306.401i | 0.994970 | + | 0.834879i | 0.986280 | − | 0.165083i | \(-0.0527893\pi\) |
0.00869048 | + | 0.999962i | \(0.497234\pi\) | |||||||
\(368\) | −102.736 | + | 59.3149i | −0.279175 | + | 0.161182i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −141.528 | + | 245.134i | −0.382508 | + | 0.662523i | ||||
\(371\) | 214.742 | + | 589.998i | 0.578818 | + | 1.59029i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −282.763 | + | 237.266i | −0.758077 | + | 0.636102i | −0.937625 | − | 0.347647i | \(-0.886981\pi\) |
0.179549 | + | 0.983749i | \(0.442536\pi\) | |||||||
\(374\) | −79.3036 | + | 217.885i | −0.212042 | + | 0.582580i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −8.15522 | + | 46.2506i | −0.0216894 | + | 0.123007i | ||||
\(377\) | 32.4807i | 0.0861558i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −216.903 | −0.572304 | −0.286152 | − | 0.958184i | \(-0.592376\pi\) | ||||
−0.286152 | + | 0.958184i | \(0.592376\pi\) | |||||||
\(380\) | −130.816 | − | 23.0663i | −0.344252 | − | 0.0607009i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −341.969 | − | 124.466i | −0.895206 | − | 0.325828i | ||||
\(383\) | 346.686 | + | 413.164i | 0.905185 | + | 1.07876i | 0.996555 | + | 0.0829400i | \(0.0264310\pi\) |
−0.0913699 | + | 0.995817i | \(0.529125\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1137.91 | + | 414.166i | −2.95561 | + | 1.07576i | ||||
\(386\) | 93.9025 | + | 54.2146i | 0.243271 | + | 0.140452i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −132.692 | − | 229.830i | −0.341990 | − | 0.592344i | ||||
\(389\) | −94.9161 | + | 113.117i | −0.244000 | + | 0.290788i | −0.874120 | − | 0.485710i | \(-0.838561\pi\) |
0.630120 | + | 0.776498i | \(0.283006\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −50.1658 | − | 284.504i | −0.128301 | − | 0.727633i | ||||
\(392\) | 56.9738 | − | 10.0460i | 0.145341 | − | 0.0256276i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 264.325 | + | 221.795i | 0.670875 | + | 0.562931i | ||||
\(395\) | 606.686 | − | 350.270i | 1.53591 | − | 0.886760i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 251.308 | − | 435.278i | 0.633017 | − | 1.09642i | −0.353915 | − | 0.935278i | \(-0.615150\pi\) |
0.986932 | − | 0.161139i | \(-0.0515169\pi\) | |||||||
\(398\) | −39.7147 | − | 109.115i | −0.0997857 | − | 0.274159i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −151.754 | + | 127.337i | −0.379386 | + | 0.318342i | ||||
\(401\) | −79.1589 | + | 217.487i | −0.197404 | + | 0.542362i | −0.998415 | − | 0.0562876i | \(-0.982074\pi\) |
0.801011 | + | 0.598650i | \(0.204296\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.03437 | − | 34.2226i | 0.0149736 | − | 0.0849196i | ||||
\(404\) | 30.4442i | 0.0753569i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 126.629 | 0.311894 | ||||||||
\(407\) | −384.307 | − | 67.7638i | −0.944244 | − | 0.166496i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −423.279 | − | 154.061i | −1.03491 | − | 0.376677i | −0.231963 | − | 0.972725i | \(-0.574515\pi\) |
−0.802949 | + | 0.596048i | \(0.796737\pi\) | |||||||
\(410\) | −133.286 | − | 158.844i | −0.325088 | − | 0.387424i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −71.1396 | + | 25.8927i | −0.172669 | + | 0.0628463i | ||||
\(413\) | 434.497 | + | 250.857i | 1.05205 | + | 0.607402i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −69.6317 | − | 120.606i | −0.167787 | − | 0.290616i | ||||
\(416\) | −10.9926 | + | 13.1004i | −0.0264244 | + | 0.0314914i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −31.8005 | − | 180.350i | −0.0760777 | − | 0.431458i | ||||
\(419\) | 324.142 | − | 57.1549i | 0.773608 | − | 0.136408i | 0.227111 | − | 0.973869i | \(-0.427072\pi\) |
0.546497 | + | 0.837461i | \(0.315961\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −156.740 | − | 131.520i | −0.372303 | − | 0.312399i | 0.437369 | − | 0.899282i | \(-0.355910\pi\) |
−0.809672 | + | 0.586883i | \(0.800355\pi\) | |||||||
\(422\) | 70.4151 | − | 40.6542i | 0.166860 | − | 0.0963369i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −106.544 | + | 184.540i | −0.251284 | + | 0.435237i | ||||
\(425\) | −165.000 | − | 453.333i | −0.388234 | − | 1.06666i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 218.099 | − | 183.006i | 0.510770 | − | 0.428587i | ||||
\(428\) | 81.1678 | − | 223.007i | 0.189645 | − | 0.521044i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 50.0584 | − | 283.895i | 0.116415 | − | 0.660222i | ||||
\(431\) | 5.85402i | 0.0135824i | 0.999977 | + | 0.00679120i | \(0.00216172\pi\) | ||||
−0.999977 | + | 0.00679120i | \(0.997838\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 233.310 | 0.538821 | 0.269411 | − | 0.963025i | \(-0.413171\pi\) | ||||
0.269411 | + | 0.963025i | \(0.413171\pi\) | |||||||
\(434\) | −133.420 | − | 23.5255i | −0.307419 | − | 0.0542063i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 387.257 | + | 140.950i | 0.888205 | + | 0.323280i | ||||
\(437\) | 146.665 | + | 174.789i | 0.335619 | + | 0.399975i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 126.662 | − | 46.1012i | 0.288524 | − | 0.105014i | −0.193704 | − | 0.981060i | \(-0.562050\pi\) |
0.482227 | + | 0.876046i | \(0.339828\pi\) | |||||||
\(440\) | −355.918 | − | 205.489i | −0.808904 | − | 0.467021i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −20.8231 | − | 36.0666i | −0.0471110 | − | 0.0815987i | ||||
\(443\) | −18.4121 | + | 21.9426i | −0.0415622 | + | 0.0495319i | −0.786425 | − | 0.617686i | \(-0.788070\pi\) |
0.744863 | + | 0.667218i | \(0.232515\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 24.2616 | + | 137.594i | 0.0545205 | + | 0.309201i | ||||
\(446\) | −323.096 | + | 56.9705i | −0.724430 | + | 0.127737i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 51.0731 | + | 42.8555i | 0.114003 | + | 0.0956595i | ||||
\(449\) | −430.226 | + | 248.391i | −0.958188 | + | 0.553210i | −0.895615 | − | 0.444831i | \(-0.853264\pi\) |
−0.0625728 | + | 0.998040i | \(0.519931\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 142.936 | − | 247.573i | 0.316932 | − | 0.548942i | ||||
\(452\) | 48.5869 | + | 133.491i | 0.107493 | + | 0.295335i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −232.414 | + | 195.019i | −0.511926 | + | 0.429557i | ||||
\(455\) | 74.3889 | − | 204.382i | 0.163492 | − | 0.449191i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −80.5387 | + | 456.758i | −0.176234 | + | 0.999470i | 0.760477 | + | 0.649365i | \(0.224965\pi\) |
−0.936710 | + | 0.350105i | \(0.886146\pi\) | |||||||
\(458\) | − | 559.195i | − | 1.22095i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 512.054 | 1.11316 | ||||||||
\(461\) | 262.335 | + | 46.2568i | 0.569057 | + | 0.100340i | 0.450771 | − | 0.892640i | \(-0.351149\pi\) |
0.118286 | + | 0.992980i | \(0.462260\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −224.935 | − | 81.8697i | −0.485821 | − | 0.176824i | 0.0874848 | − | 0.996166i | \(-0.472117\pi\) |
−0.573306 | + | 0.819341i | \(0.694339\pi\) | |||||||
\(464\) | 27.6247 | + | 32.9218i | 0.0595360 | + | 0.0709522i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −127.257 | + | 46.3177i | −0.273083 | + | 0.0993942i | ||||
\(467\) | 184.565 | + | 106.559i | 0.395215 | + | 0.228177i | 0.684417 | − | 0.729091i | \(-0.260057\pi\) |
−0.289202 | + | 0.957268i | \(0.593390\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 156.813 | + | 271.609i | 0.334357 | + | 0.579123i | ||||
\(470\) | 130.303 | − | 155.289i | 0.277241 | − | 0.330403i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 29.5681 | + | 167.689i | 0.0626442 | + | 0.355273i | ||||
\(473\) | 391.394 | − | 69.0132i | 0.827470 | − | 0.145905i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 291.882 | + | 244.918i | 0.614489 | + | 0.515617i | ||||
\(476\) | −140.609 | + | 81.1807i | −0.295397 | + | 0.170548i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 62.3576 | − | 108.007i | 0.130455 | − | 0.225955i | ||||
\(479\) | −136.882 | − | 376.079i | −0.285765 | − | 0.785134i | −0.996647 | − | 0.0818220i | \(-0.973926\pi\) |
0.710882 | − | 0.703312i | \(-0.248296\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 53.6927 | − | 45.0535i | 0.111627 | − | 0.0936664i | ||||
\(482\) | −186.286 | + | 511.816i | −0.386485 | + | 1.06186i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 56.3657 | − | 319.666i | 0.116458 | − | 0.660466i | ||||
\(485\) | 1145.51i | 2.36187i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −323.676 | −0.664632 | −0.332316 | − | 0.943168i | \(-0.607830\pi\) | ||||
−0.332316 | + | 0.943168i | \(0.607830\pi\) | |||||||
\(488\) | 95.1583 | + | 16.7790i | 0.194997 | + | 0.0343832i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −234.656 | − | 85.4077i | −0.478889 | − | 0.174301i | ||||
\(491\) | −589.862 | − | 702.970i | −1.20135 | − | 1.43171i | −0.873392 | − | 0.487018i | \(-0.838085\pi\) |
−0.327956 | − | 0.944693i | \(-0.606360\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −98.3467 | + | 35.7953i | −0.199486 | + | 0.0726070i | ||||
\(494\) | 28.4858 | + | 16.4463i | 0.0576635 | + | 0.0332921i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −22.9898 | − | 39.8195i | −0.0463504 | − | 0.0802813i | ||||
\(497\) | −272.369 | + | 324.597i | −0.548027 | + | 0.653113i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −37.5201 | − | 212.787i | −0.0751906 | − | 0.426427i | −0.999045 | − | 0.0436840i | \(-0.986091\pi\) |
0.923855 | − | 0.382743i | \(-0.125021\pi\) | |||||||
\(500\) | 417.011 | − | 73.5303i | 0.834022 | − | 0.147061i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 158.682 | + | 133.150i | 0.316100 | + | 0.265240i | ||||
\(503\) | −31.3557 | + | 18.1032i | −0.0623373 | + | 0.0359905i | −0.530845 | − | 0.847469i | \(-0.678125\pi\) |
0.468507 | + | 0.883460i | \(0.344792\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 65.7046 | − | 113.804i | 0.130108 | − | 0.225354i | ||||
\(506\) | 241.447 | + | 663.371i | 0.477169 | + | 1.31101i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −58.6321 | + | 49.1982i | −0.115417 | + | 0.0968468i | ||||
\(509\) | 79.8138 | − | 219.287i | 0.156805 | − | 0.430818i | −0.836267 | − | 0.548322i | \(-0.815267\pi\) |
0.993072 | + | 0.117503i | \(0.0374891\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 142.532 | − | 808.342i | 0.278929 | − | 1.58188i | ||||
\(512\) | 22.6274i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −293.605 | −0.571216 | ||||||||
\(515\) | 321.809 | + | 56.7437i | 0.624873 | + | 0.110182i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 262.620 | + | 95.5860i | 0.507970 | + | 0.184886i | ||||
\(518\) | −175.645 | − | 209.326i | −0.339083 | − | 0.404104i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 69.3647 | − | 25.2467i | 0.133394 | − | 0.0485513i | ||||
\(521\) | 119.806 | + | 69.1700i | 0.229954 | + | 0.132764i | 0.610551 | − | 0.791977i | \(-0.290948\pi\) |
−0.380597 | + | 0.924741i | \(0.624281\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 98.4346 | + | 170.494i | 0.188212 | + | 0.325992i | 0.944654 | − | 0.328068i | \(-0.106398\pi\) |
−0.756442 | + | 0.654060i | \(0.773064\pi\) | |||||||
\(524\) | 280.162 | − | 333.884i | 0.534660 | − | 0.637183i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.17338 | + | 46.3535i | 0.0155387 | + | 0.0881246i | ||||
\(527\) | 110.271 | − | 19.4437i | 0.209243 | − | 0.0368951i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −268.547 | − | 225.338i | −0.507651 | − | 0.425969i | ||||
\(530\) | 796.551 | − | 459.889i | 1.50293 | − | 0.867715i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 64.1173 | − | 111.054i | 0.120521 | − | 0.208749i | ||||
\(533\) | 17.5613 | + | 48.2494i | 0.0329481 | + | 0.0905242i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −784.708 | + | 658.448i | −1.46674 | + | 1.23074i | ||||
\(536\) | −36.4050 | + | 100.022i | −0.0679197 | + | 0.186608i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 98.0090 | − | 555.837i | 0.182173 | − | 1.03315i | ||||
\(539\) | − | 344.271i | − | 0.638722i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −136.735 | −0.252745 | −0.126373 | − | 0.991983i | \(-0.540334\pi\) | ||||
−0.126373 | + | 0.991983i | \(0.540334\pi\) | |||||||
\(542\) | −116.986 | − | 20.6277i | −0.215841 | − | 0.0380585i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −51.7803 | − | 18.8465i | −0.0951844 | − | 0.0346443i | ||||
\(545\) | −1143.41 | − | 1362.67i | −2.09801 | − | 2.50031i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 625.697 | − | 227.735i | 1.14387 | − | 0.416335i | 0.300561 | − | 0.953763i | \(-0.402826\pi\) |
0.843310 | + | 0.537428i | \(0.180604\pi\) | |||||||
\(548\) | 318.857 | + | 184.092i | 0.581855 | + | 0.335934i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 589.433 | + | 1020.93i | 1.07170 | + | 1.85623i | ||||
\(551\) | 53.1330 | − | 63.3214i | 0.0964300 | − | 0.114921i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 117.436 | + | 666.011i | 0.212361 | + | 1.20436i | ||||
\(554\) | −249.592 | + | 44.0098i | −0.450527 | + | 0.0794400i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −372.528 | − | 312.588i | −0.670014 | − | 0.562208i | ||||
\(557\) | 943.861 | − | 544.939i | 1.69454 | − | 0.978346i | 0.743784 | − | 0.668420i | \(-0.233029\pi\) |
0.950761 | − | 0.309926i | \(-0.100304\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −35.6916 | + | 61.8197i | −0.0638490 | + | 0.110590i | ||||
\(560\) | −98.4265 | − | 270.425i | −0.175762 | − | 0.482901i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 503.719 | − | 422.671i | 0.896298 | − | 0.752083i | ||||
\(563\) | −209.400 | + | 575.323i | −0.371937 | + | 1.02189i | 0.602675 | + | 0.797987i | \(0.294102\pi\) |
−0.974612 | + | 0.223901i | \(0.928121\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 106.478 | − | 603.866i | 0.188457 | − | 1.06879i | ||||
\(566\) | 370.433i | 0.654475i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −143.809 | −0.253186 | ||||||||
\(569\) | −491.784 | − | 86.7148i | −0.864295 | − | 0.152399i | −0.276111 | − | 0.961126i | \(-0.589046\pi\) |
−0.588184 | + | 0.808727i | \(0.700157\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 284.552 | + | 103.569i | 0.498341 | + | 0.181381i | 0.578947 | − | 0.815365i | \(-0.303464\pi\) |
−0.0806069 | + | 0.996746i | \(0.525686\pi\) | |||||||
\(572\) | 65.4147 | + | 77.9582i | 0.114361 | + | 0.136291i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 188.105 | − | 68.4645i | 0.327708 | − | 0.119276i | ||||
\(575\) | −1272.01 | − | 734.397i | −2.21220 | − | 1.27721i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −18.5614 | − | 32.1493i | −0.0321688 | − | 0.0557181i | 0.849493 | − | 0.527600i | \(-0.176908\pi\) |
−0.881662 | + | 0.471882i | \(0.843575\pi\) | |||||||
\(578\) | −176.456 | + | 210.292i | −0.305287 | + | 0.363827i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −32.2123 | − | 182.685i | −0.0555385 | − | 0.314974i | ||||
\(581\) | 132.399 | − | 23.3455i | 0.227881 | − | 0.0401817i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 971.386 | + | 815.090i | 1.66619 | + | 1.39810i | ||||
\(584\) | 241.252 | − | 139.287i | 0.413102 | − | 0.238505i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 69.4599 | − | 120.308i | 0.118532 | − | 0.205304i | ||||
\(587\) | 299.988 | + | 824.210i | 0.511053 | + | 1.40411i | 0.880141 | + | 0.474712i | \(0.157448\pi\) |
−0.369088 | + | 0.929394i | \(0.620330\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −67.7464 | + | 56.8459i | −0.115019 | + | 0.0965126i | ||||
\(590\) | 251.377 | − | 690.653i | 0.426063 | − | 1.17060i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 16.1041 | − | 91.3307i | 0.0272028 | − | 0.154275i | ||||
\(593\) | − | 284.591i | − | 0.479917i | −0.970783 | − | 0.239958i | \(-0.922866\pi\) | ||
0.970783 | − | 0.239958i | \(-0.0771338\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 700.817 | 1.17784 | ||||||||
\(596\) | −283.772 | − | 50.0367i | −0.476127 | − | 0.0839541i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −119.149 | − | 43.3667i | −0.199246 | − | 0.0725195i | ||||
\(599\) | 211.516 | + | 252.075i | 0.353115 | + | 0.420827i | 0.913138 | − | 0.407651i | \(-0.133652\pi\) |
−0.560022 | + | 0.828477i | \(0.689207\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.64685 | + | 2.41926i | −0.0110597 | + | 0.00402538i | −0.347544 | − | 0.937664i | \(-0.612984\pi\) |
0.336484 | + | 0.941689i | \(0.390762\pi\) | |||||||
\(602\) | 241.010 | + | 139.147i | 0.400348 | + | 0.231141i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −101.609 | − | 175.992i | −0.168226 | − | 0.291377i | ||||
\(605\) | −900.604 | + | 1073.30i | −1.48860 | + | 1.77405i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 83.8924 | + | 475.778i | 0.138208 | + | 0.783818i | 0.972572 | + | 0.232603i | \(0.0747244\pi\) |
−0.834363 | + | 0.551215i | \(0.814165\pi\) | |||||||
\(608\) | 42.8601 | − | 7.55739i | 0.0704936 | − | 0.0124299i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −319.500 | − | 268.092i | −0.523771 | − | 0.439496i | ||||
\(611\) | −43.4718 | + | 25.0984i | −0.0711485 | + | 0.0410776i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −287.932 | + | 498.713i | −0.469710 | + | 0.813562i | −0.999400 | − | 0.0346296i | \(-0.988975\pi\) |
0.529690 | + | 0.848191i | \(0.322308\pi\) | |||||||
\(614\) | −238.387 | − | 654.963i | −0.388253 | − | 1.06672i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 303.927 | − | 255.025i | 0.493389 | − | 0.414002i | ||||
\(617\) | 239.991 | − | 659.369i | 0.388964 | − | 1.06867i | −0.578505 | − | 0.815679i | \(-0.696364\pi\) |
0.967469 | − | 0.252991i | \(-0.0814143\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 78.3389 | − | 444.282i | 0.126557 | − | 0.717741i | −0.853814 | − | 0.520579i | \(-0.825716\pi\) |
0.980371 | − | 0.197162i | \(-0.0631726\pi\) | |||||||
\(620\) | 198.467i | 0.320107i | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 23.9079 | 0.0384371 | ||||||||
\(623\) | −132.830 | − | 23.4216i | −0.213211 | − | 0.0375949i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −554.064 | − | 201.663i | −0.886502 | − | 0.322660i | ||||
\(626\) | 379.169 | + | 451.876i | 0.605701 | + | 0.721847i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −581.736 | + | 211.735i | −0.926331 | + | 0.337157i | ||||
\(629\) | 195.587 | + | 112.922i | 0.310949 | + | 0.179527i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 283.716 | + | 491.411i | 0.449630 | + | 0.778782i | 0.998362 | − | 0.0572166i | \(-0.0182226\pi\) |
−0.548732 | + | 0.835998i | \(0.684889\pi\) | |||||||
\(632\) | −147.535 | + | 175.825i | −0.233441 | + | 0.278204i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −111.431 | − | 631.954i | −0.175758 | − | 0.996773i | ||||
\(635\) | 325.353 | − | 57.3685i | 0.512367 | − | 0.0903441i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 47.3684 | + | 39.7468i | 0.0743616 | + | 0.0623968i | ||||
\(638\) | 221.482 | − | 127.872i | 0.347150 | − | 0.200427i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 48.8345 | − | 84.5839i | 0.0763039 | − | 0.132162i | ||||
\(641\) | −50.9735 | − | 140.049i | −0.0795219 | − | 0.218485i | 0.893560 | − | 0.448943i | \(-0.148200\pi\) |
−0.973082 | + | 0.230459i | \(0.925977\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −20.8996 | + | 17.5368i | −0.0325032 | + | 0.0272734i | −0.658895 | − | 0.752235i | \(-0.728976\pi\) |
0.626391 | + | 0.779509i | \(0.284531\pi\) | |||||||
\(644\) | −169.069 | + | 464.513i | −0.262529 | + | 0.721294i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −18.4042 | + | 104.375i | −0.0284894 | + | 0.161571i | ||||
\(647\) | 263.970i | 0.407991i | 0.978972 | + | 0.203996i | \(0.0653929\pi\) | ||||
−0.978972 | + | 0.203996i | \(0.934607\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1013.28 | 1.56129 | ||||||||
\(650\) | −208.521 | − | 36.7679i | −0.320801 | − | 0.0565659i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 300.806 | + | 109.485i | 0.461360 | + | 0.167921i | ||||
\(653\) | 538.345 | + | 641.575i | 0.824418 | + | 0.982503i | 0.999998 | − | 0.00196193i | \(-0.000624502\pi\) |
−0.175580 | + | 0.984465i | \(0.556180\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1767.87 | + | 643.450i | −2.69903 | + | 0.982367i | ||||
\(656\) | 58.8357 | + | 33.9688i | 0.0896885 | + | 0.0517817i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 97.8485 | + | 169.479i | 0.148706 | + | 0.257566i | ||||
\(659\) | 477.726 | − | 569.332i | 0.724926 | − | 0.863933i | −0.270173 | − | 0.962812i | \(-0.587081\pi\) |
0.995100 | + | 0.0988784i | \(0.0315255\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 46.6386 | + | 264.501i | 0.0705577 | + | 0.400152i | 0.999548 | + | 0.0300495i | \(0.00956649\pi\) |
−0.928991 | + | 0.370103i | \(0.879322\pi\) | |||||||
\(662\) | 326.978 | − | 57.6550i | 0.493924 | − | 0.0870922i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 34.9530 | + | 29.3290i | 0.0526400 | + | 0.0441702i | ||||
\(665\) | −479.355 | + | 276.756i | −0.720835 | + | 0.416174i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −159.321 | + | 275.952i | −0.238862 | + | 0.413722i | ||||
\(668\) | −170.289 | − | 467.864i | −0.254923 | − | 0.700395i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 351.953 | − | 295.324i | 0.525303 | − | 0.440782i | ||||
\(671\) | 196.664 | − | 540.329i | 0.293090 | − | 0.805259i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 114.573 | − | 649.776i | 0.170242 | − | 0.965492i | −0.773251 | − | 0.634100i | \(-0.781371\pi\) |
0.943493 | − | 0.331392i | \(-0.107518\pi\) | |||||||
\(674\) | − | 448.656i | − | 0.665661i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 319.721 | 0.472961 | ||||||||
\(677\) | −251.116 | − | 44.2786i | −0.370925 | − | 0.0654041i | −0.0149216 | − | 0.999889i | \(-0.504750\pi\) |
−0.356004 | + | 0.934485i | \(0.615861\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1039.15 | − | 378.221i | −1.53042 | − | 0.557026i | ||||
\(680\) | 152.886 | + | 182.203i | 0.224833 | + | 0.267945i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −257.116 | + | 93.5824i | −0.377002 | + | 0.137218i | ||||
\(683\) | 376.413 | + | 217.322i | 0.551117 | + | 0.318187i | 0.749572 | − | 0.661923i | \(-0.230259\pi\) |
−0.198456 | + | 0.980110i | \(0.563593\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −794.615 | − | 1376.31i | −1.16002 | − | 2.00922i | ||||
\(686\) | −216.260 | + | 257.729i | −0.315248 | + | 0.375698i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 16.4010 | + | 93.0147i | 0.0238387 | + | 0.135196i | ||||
\(689\) | −224.297 | + | 39.5496i | −0.325540 | + | 0.0574015i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1022.63 | − | 858.086i | −1.47992 | − | 1.24180i | −0.906266 | − | 0.422707i | \(-0.861080\pi\) |
−0.573657 | − | 0.819096i | \(-0.694476\pi\) | |||||||
\(692\) | −117.049 | + | 67.5780i | −0.169145 | + | 0.0976561i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 31.2112 | − | 54.0594i | 0.0449729 | − | 0.0778954i | ||||
\(695\) | 717.924 | + | 1972.48i | 1.03298 | + | 2.83810i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −126.738 | + | 106.346i | −0.181834 | + | 0.152577i | ||||
\(698\) | 159.881 | − | 439.270i | 0.229056 | − | 0.629327i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −143.343 | + | 812.938i | −0.204775 | + | 1.16134i | ||||
\(701\) | − | 1001.61i | − | 1.42883i | −0.699722 | − | 0.714415i | \(-0.746693\pi\) | ||
0.699722 | − | 0.714415i | \(-0.253307\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −178.374 | −0.253733 | ||||||||
\(704\) | 132.606 | + | 23.3820i | 0.188361 | + | 0.0332131i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 629.235 | + | 229.023i | 0.891267 | + | 0.324395i | ||||
\(707\) | 81.5437 | + | 97.1800i | 0.115338 | + | 0.137454i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 720.055 | − | 262.078i | 1.01559 | − | 0.369645i | 0.220014 | − | 0.975497i | \(-0.429390\pi\) |
0.795578 | + | 0.605852i | \(0.207167\pi\) | |||||||
\(710\) | 537.576 | + | 310.370i | 0.757149 | + | 0.437140i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −22.8883 | − | 39.6436i | −0.0321464 | − | 0.0556792i | ||||
\(713\) | 219.132 | − | 261.152i | 0.307339 | − | 0.366272i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −76.2782 | − | 432.595i | −0.106683 | − | 0.605028i | ||||
\(716\) | −463.317 | + | 81.6953i | −0.647090 | + | 0.114100i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −472.926 | − | 396.832i | −0.658671 | − | 0.552691i | ||||
\(719\) | −544.595 | + | 314.422i | −0.757434 | + | 0.437305i | −0.828374 | − | 0.560176i | \(-0.810733\pi\) |
0.0709399 | + | 0.997481i | \(0.477400\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −157.730 | + | 273.196i | −0.218765 | + | 0.378913i | ||||
\(722\) | 145.982 | + | 401.082i | 0.202191 | + | 0.555516i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −333.737 | + | 280.038i | −0.460962 | + | 0.386793i | ||||
\(725\) | −181.990 | + | 500.015i | −0.251021 | + | 0.689675i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −116.145 | + | 658.690i | −0.159759 | + | 0.906039i | 0.794546 | + | 0.607204i | \(0.207709\pi\) |
−0.954305 | + | 0.298835i | \(0.903402\pi\) | |||||||
\(728\) | 71.2606i | 0.0978855i | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1202.44 | −1.64717 | ||||||||
\(731\) | −226.514 | − | 39.9406i | −0.309869 | − | 0.0546383i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −104.288 | − | 37.9578i | −0.142276 | − | 0.0517842i | 0.269901 | − | 0.962888i | \(-0.413009\pi\) |
−0.412177 | + | 0.911104i | \(0.635231\pi\) | |||||||
\(734\) | 433.316 | + | 516.406i | 0.590349 | + | 0.703550i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −157.650 | + | 57.3800i | −0.214199 | + | 0.0779619i | ||||
\(737\) | 548.551 | + | 316.706i | 0.744302 | + | 0.429723i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −231.298 | − | 400.619i | −0.312987 | − | 0.542110i | 0.666020 | − | 0.745934i | \(-0.267996\pi\) |
−0.979008 | + | 0.203824i | \(0.934663\pi\) | |||||||
\(740\) | −257.309 | + | 306.649i | −0.347715 | + | 0.414390i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 154.188 | + | 874.442i | 0.207800 | + | 1.17849i | ||||
\(743\) | −952.218 | + | 167.902i | −1.28159 | + | 0.225978i | −0.772653 | − | 0.634829i | \(-0.781071\pi\) |
−0.508932 | + | 0.860807i | \(0.669960\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 952.783 | + | 799.480i | 1.27890 | + | 1.07313i | ||||
\(746\) | −452.078 | + | 261.007i | −0.606003 | + | 0.349876i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −163.956 | + | 283.979i | −0.219192 | + | 0.379652i | ||||
\(749\) | −338.223 | − | 929.259i | −0.451566 | − | 1.24067i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −805.112 | + | 675.569i | −1.07205 | + | 0.899560i | −0.995237 | − | 0.0974855i | \(-0.968920\pi\) |
−0.0768166 | + | 0.997045i | \(0.524476\pi\) | |||||||
\(752\) | −22.7160 | + | 62.4118i | −0.0302075 | + | 0.0829944i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −7.97648 | + | 45.2368i | −0.0105789 | + | 0.0599958i | ||||
\(755\) | 877.168i | 1.16181i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −266.724 | −0.352343 | −0.176172 | − | 0.984359i | \(-0.556371\pi\) | ||||
−0.176172 | + | 0.984359i | \(0.556371\pi\) | |||||||
\(758\) | −302.087 | − | 53.2662i | −0.398532 | − | 0.0702720i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −176.526 | − | 64.2503i | −0.232271 | − | 0.0845399i | ||||
\(761\) | 0.229396 | + | 0.273383i | 0.000301440 | + | 0.000359242i | 0.766195 | − | 0.642608i | \(-0.222148\pi\) |
−0.765894 | + | 0.642967i | \(0.777703\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1613.68 | − | 587.333i | 2.11492 | − | 0.769768i | ||||
\(764\) | −445.704 | − | 257.327i | −0.583382 | − | 0.336816i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 381.376 | + | 660.563i | 0.497880 | + | 0.862353i | ||||
\(767\) | −116.985 | + | 139.418i | −0.152523 | + | 0.181770i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 77.8630 | + | 441.583i | 0.101252 | + | 0.574230i | 0.992651 | + | 0.121011i | \(0.0386136\pi\) |
−0.891399 | + | 0.453220i | \(0.850275\pi\) | |||||||
\(770\) | −1686.51 | + | 297.377i | −2.19027 | + | 0.386204i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 117.467 | + | 98.5664i | 0.152159 | + | 0.127677i | ||||
\(773\) | −580.814 | + | 335.333i | −0.751376 | + | 0.433807i | −0.826191 | − | 0.563390i | \(-0.809497\pi\) |
0.0748149 | + | 0.997197i | \(0.476163\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 284.644 | − | 493.018i | 0.367283 | − | 0.636153i | ||||
\(776\) | −128.364 | − | 352.676i | −0.165417 | − | 0.454479i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −159.971 | + | 134.232i | −0.205618 | + | 0.172534i | ||||
\(779\) | 44.6918 | − | 122.790i | 0.0573708 | − | 0.157625i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −148.605 | + | 842.783i | −0.190276 | + | 1.07911i | ||||
\(782\) | − | 408.557i | − | 0.522451i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 81.8160 | 0.104357 | ||||||||
\(785\) | 2631.56 | + | 464.015i | 3.35231 | + | 0.591102i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1152.23 | + | 419.377i | 1.46408 | + | 0.532881i | 0.946485 | − | 0.322747i | \(-0.104606\pi\) |
0.517592 | + | 0.855627i | \(0.326828\pi\) | |||||||
\(788\) | 313.665 | + | 373.812i | 0.398053 | + | 0.474381i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 930.967 | − | 338.844i | 1.17844 | − | 0.428917i | ||||
\(791\) | 512.645 | + | 295.976i | 0.648097 | + | 0.374179i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 51.6388 | + | 89.4411i | 0.0651183 | + | 0.112788i | ||||
\(794\) | 456.897 | − | 544.508i | 0.575437 | − | 0.685779i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −28.5158 | − | 161.721i | −0.0358238 | − | 0.203167i | ||||
\(797\) | 391.758 | − | 69.0776i | 0.491541 | − | 0.0866720i | 0.0776168 | − | 0.996983i | \(-0.475269\pi\) |
0.413924 | + | 0.910311i | \(0.364158\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −123.902 | − | 103.966i | −0.155071 | − | 0.130120i | ||||
\(800\) | −242.623 | + | 140.079i | −0.303279 | + | 0.175098i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −163.656 | + | 283.461i | −0.204060 | + | 0.353443i | ||||
\(803\) | −566.981 | − | 1557.77i | −0.706079 | − | 1.93994i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1634.51 | − | 1371.52i | 2.03045 | − | 1.70375i | ||||
\(806\) | 16.8085 | − | 46.1809i | 0.0208542 | − | 0.0572964i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −7.47635 | + | 42.4005i | −0.00925290 | + | 0.0524758i | ||||
\(809\) | 438.654i | 0.542218i | 0.962549 | + | 0.271109i | \(0.0873903\pi\) | ||||
−0.962549 | + | 0.271109i | \(0.912610\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1037.62 | −1.27943 | −0.639716 | − | 0.768611i | \(-0.720948\pi\) | ||||
−0.639716 | + | 0.768611i | \(0.720948\pi\) | |||||||
\(812\) | 176.360 | + | 31.0970i | 0.217192 | + | 0.0382968i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −518.595 | − | 188.753i | −0.637094 | − | 0.231883i | ||||
\(815\) | −888.159 | − | 1058.47i | −1.08977 | − | 1.29873i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 170.707 | − | 62.1324i | 0.208944 | − | 0.0760495i | ||||
\(818\) | −551.679 | − | 318.512i | −0.674424 | − | 0.389379i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −146.623 | − | 253.958i | −0.178808 | − | 0.309705i | ||||
\(821\) | 919.156 | − | 1095.41i | 1.11956 | − | 1.33424i | 0.183245 | − | 0.983067i | \(-0.441340\pi\) |
0.936312 | − | 0.351168i | \(-0.114216\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −245.722 | − | 1393.56i | −0.298568 | − | 1.69327i | −0.652334 | − | 0.757932i | \(-0.726210\pi\) |
0.353765 | − | 0.935334i | \(-0.384901\pi\) | |||||||
\(824\) | −105.437 | + | 18.5913i | −0.127957 | + | 0.0225623i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 543.532 | + | 456.078i | 0.658029 | + | 0.552152i | ||||
\(827\) | −609.863 | + | 352.105i | −0.737440 | + | 0.425761i | −0.821138 | − | 0.570730i | \(-0.806660\pi\) |
0.0836977 | + | 0.996491i | \(0.473327\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −145.579 | + | 252.151i | −0.175608 | + | 0.304162i | −0.940372 | − | 0.340149i | \(-0.889523\pi\) |
0.764763 | + | 0.644311i | \(0.222856\pi\) | |||||||
\(830\) | −67.3602 | − | 185.071i | −0.0811569 | − | 0.222977i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −18.5268 | + | 15.5458i | −0.0222678 | + | 0.0186849i | ||||
\(833\) | −68.1450 | + | 187.227i | −0.0818067 | + | 0.224762i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −373.186 | + | 2116.44i | −0.446930 | + | 2.53466i | ||||
\(836\) | − | 258.987i | − | 0.309794i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 465.477 | 0.555462 | ||||||||
\(839\) | −852.208 | − | 150.267i | −1.01574 | − | 0.179103i | −0.359096 | − | 0.933301i | \(-0.616915\pi\) |
−0.656647 | + | 0.754198i | \(0.728026\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −681.808 | − | 248.158i | −0.810710 | − | 0.295074i | ||||
\(842\) | −185.997 | − | 221.663i | −0.220900 | − | 0.263258i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 108.053 | − | 39.3280i | 0.128025 | − | 0.0465971i | ||||
\(845\) | −1195.16 | − | 690.023i | −1.41438 | − | 0.816595i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −676.290 | − | 1171.37i | −0.798454 | − | 1.38296i | ||||
\(848\) | −193.706 | + | 230.850i | −0.228427 | + | 0.272229i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −118.472 | − | 671.889i | −0.139379 | − | 0.790458i | ||||
\(851\) | 677.158 | − | 119.401i | 0.795721 | − | 0.140307i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −83.2215 | − | 69.8311i | −0.0975633 | − | 0.0818653i | 0.592701 | − | 0.805422i | \(-0.298061\pi\) |
−0.690265 | + | 0.723557i | \(0.742506\pi\) | |||||||
\(854\) | 348.694 | − | 201.319i | 0.408307 | − | 0.235736i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 167.810 | − | 290.655i | 0.196039 | − | 0.339550i | ||||
\(857\) | 364.690 | + | 1001.98i | 0.425543 | + | 1.16917i | 0.948491 | + | 0.316804i | \(0.102610\pi\) |
−0.522948 | + | 0.852364i | \(0.675168\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −42.4891 | + | 35.6526i | −0.0494635 | + | 0.0415048i | −0.667184 | − | 0.744893i | \(-0.732501\pi\) |
0.617721 | + | 0.786398i | \(0.288056\pi\) | |||||||
\(860\) | 139.436 | − | 383.096i | 0.162134 | − | 0.445461i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.43760 | + | 8.15306i | −0.00166775 | + | 0.00945830i | ||||
\(863\) | − | 75.8244i | − | 0.0878614i | −0.999035 | − | 0.0439307i | \(-0.986012\pi\) | ||
0.999035 | − | 0.0439307i | \(-0.0139881\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 583.388 | 0.674437 | ||||||||
\(866\) | 324.937 | + | 57.2952i | 0.375216 | + | 0.0661607i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −180.040 | − | 65.5293i | −0.207420 | − | 0.0754946i | ||||
\(869\) | 877.953 | + | 1046.30i | 1.01030 | + | 1.20403i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −106.907 | + | 38.9109i | −0.122740 | + | 0.0446739i | ||||
\(872\) | 504.731 | + | 291.406i | 0.578820 | + | 0.334182i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 161.341 | + | 279.451i | 0.184601 | + | 0.319738i | ||||
\(875\) | 1134.18 | − | 1351.66i | 1.29621 | − | 1.54476i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 100.329 | + | 568.994i | 0.114400 | + | 0.648796i | 0.987045 | + | 0.160441i | \(0.0512918\pi\) |
−0.872645 | + | 0.488355i | \(0.837597\pi\) | |||||||
\(878\) | 187.727 | − | 33.1013i | 0.213812 | − | 0.0377008i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −445.234 | − | 373.595i | −0.505947 | − | 0.424540i | ||||
\(881\) | −118.578 | + | 68.4609i | −0.134594 | + | 0.0777082i | −0.565785 | − | 0.824553i | \(-0.691427\pi\) |
0.431191 | + | 0.902261i | \(0.358094\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 634.745 | − | 1099.41i | 0.718851 | − | 1.24509i | −0.242605 | − | 0.970125i | \(-0.578002\pi\) |
0.961455 | − | 0.274961i | \(-0.0886648\pi\) | |||||||
\(884\) | −20.1438 | − | 55.3447i | −0.0227871 | − | 0.0626071i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −31.0316 | + | 26.0386i | −0.0350244 | + | 0.0293889i | ||||
\(887\) | −220.369 | + | 605.458i | −0.248443 | + | 0.682591i | 0.751301 | + | 0.659960i | \(0.229427\pi\) |
−0.999744 | + | 0.0226314i | \(0.992796\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −55.3822 | + | 314.088i | −0.0622972 | + | 0.353305i | ||||
\(890\) | 197.590i | 0.222011i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −463.975 | −0.520152 | ||||||||
\(893\) | 125.805 | + | 22.1829i | 0.140879 | + | 0.0248408i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1908.25 | + | 694.545i | 2.13212 | + | 0.776027i | ||||
\(896\) | 60.6068 | + | 72.2283i | 0.0676415 | + | 0.0806120i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −660.187 | + | 240.288i | −0.735175 | + | 0.267582i | ||||
\(899\) | −106.956 | − | 61.7512i | −0.118972 | − | 0.0686888i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −366.936 | − | 635.551i | −0.407254 | − | 0.705384i | ||||
\(902\) | 259.869 | − | 309.700i | 0.288103 | − | 0.343348i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 34.8861 | + | 197.849i | 0.0385908 | + | 0.218860i | ||||
\(905\) | 1851.93 | − | 326.544i | 2.04633 | − | 0.360823i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −468.430 | − | 393.059i | −0.516461 | − | 0.433362i | 0.346935 | − | 0.937889i | \(-0.387222\pi\) |
−0.863396 | + | 0.504527i | \(0.831667\pi\) | |||||||
\(908\) | −371.582 | + | 214.533i | −0.409231 | + | 0.236270i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 153.795 | − | 266.380i | 0.169005 | − | 0.292726i | ||||
\(911\) | −359.212 | − | 986.926i | −0.394305 | − | 1.08334i | −0.965016 | − | 0.262193i | \(-0.915554\pi\) |
0.570711 | − | 0.821151i | \(-0.306668\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 207.999 | − | 174.532i | 0.227819 | − | 0.191163i | ||||
\(914\) | −224.337 | + | 616.361i | −0.245445 | + | 0.674356i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 137.325 | − | 778.806i | 0.149918 | − | 0.850225i | ||||
\(917\) | − | 1816.19i | − | 1.98057i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 133.483 | 0.145248 | 0.0726238 | − | 0.997359i | \(-0.476863\pi\) | ||||
0.0726238 | + | 0.997359i | \(0.476863\pi\) | |||||||
\(920\) | 713.152 | + | 125.748i | 0.775165 | + | 0.136682i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 354.002 | + | 128.846i | 0.383950 | + | 0.139747i | ||||
\(923\) | −98.8020 | − | 117.748i | −0.107044 | − | 0.127571i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1078.99 | − | 392.721i | 1.16648 | − | 0.424563i | ||||
\(926\) | −293.168 | − | 169.261i | −0.316597 | − | 0.182787i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 30.3889 | + | 52.6351i | 0.0327467 | + | 0.0567189i | ||||
\(929\) | −714.192 | + | 851.141i | −0.768775 | + | 0.916190i | −0.998369 | − | 0.0570965i | \(-0.981816\pi\) |
0.229594 | + | 0.973287i | \(0.426260\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −27.3259 | − | 154.973i | −0.0293512 | − | 0.166459i | ||||
\(932\) | −188.609 | + | 33.2568i | −0.202370 | + | 0.0356833i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 230.881 | + | 193.732i | 0.247196 | + | 0.207422i | ||||
\(935\) | 1225.77 | − | 707.698i | 1.31098 | − | 0.756896i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 862.772 | − | 1494.36i | 0.920781 | − | 1.59484i | 0.122572 | − | 0.992460i | \(-0.460886\pi\) |
0.798209 | − | 0.602380i | \(-0.205781\pi\) | |||||||
\(938\) | 151.698 | + | 416.786i | 0.161725 | + | 0.444335i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 219.612 | − | 184.277i | 0.233630 | − | 0.196039i | ||||
\(941\) | −465.200 | + | 1278.13i | −0.494368 | + | 1.35827i | 0.402278 | + | 0.915517i | \(0.368218\pi\) |
−0.896646 | + | 0.442748i | \(0.854004\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −87.4689 | + | 496.061i | −0.0927560 | + | 0.526046i | ||||
\(944\) | 240.806i | 0.255091i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 562.053 | 0.594136 | ||||||||
\(947\) | −1590.14 | − | 280.385i | −1.67914 | − | 0.296077i | −0.748804 | − | 0.662792i | \(-0.769372\pi\) |
−0.930334 | + | 0.366714i | \(0.880483\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 279.793 | + | 101.836i | 0.294829 | + | 0.107309i | ||||
\(950\) | 346.367 | + | 412.784i | 0.364597 | + | 0.434509i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −215.766 | + | 78.5325i | −0.226645 | + | 0.0824921i | ||||
\(953\) | 181.146 | + | 104.585i | 0.190080 | + | 0.109743i | 0.592020 | − | 0.805923i | \(-0.298331\pi\) |
−0.401940 | + | 0.915666i | \(0.631664\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1110.73 | + | 1923.84i | 1.16307 | + | 2.01449i | ||||
\(956\) | 113.371 | − | 135.110i | 0.118589 | − | 0.141329i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −98.2830 | − | 557.391i | −0.102592 | − | 0.581827i | ||||
\(959\) | 1510.90 | − | 266.412i | 1.57549 | − | 0.277802i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −634.949 | − | 532.786i | −0.660717 | − | 0.554407i | ||||
\(962\) | 85.8434 | − | 49.5617i | 0.0892343 | − | 0.0515194i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −385.135 | + | 667.073i | −0.399518 | + | 0.691985i | ||||
\(965\) | −226.378 | − | 621.969i | −0.234589 | − | 0.644528i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 672.104 | − | 563.962i | 0.695041 | − | 0.583208i | −0.225317 | − | 0.974285i | \(-0.572342\pi\) |
0.920358 | + | 0.391077i | \(0.127897\pi\) | |||||||
\(968\) | 157.004 | − | 431.365i | 0.162194 | − | 0.445625i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −281.308 | + | 1595.38i | −0.290008 | + | 1.64472i | ||||
\(971\) | − | 686.372i | − | 0.706871i | −0.935459 | − | 0.353435i | \(-0.885013\pi\) | ||
0.935459 | − | 0.353435i | \(-0.114987\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2026.39 | −2.08262 | ||||||||
\(974\) | −450.793 | − | 79.4869i | −0.462826 | − | 0.0816087i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 128.409 | + | 46.7371i | 0.131567 | + | 0.0478864i | ||||
\(977\) | −905.640 | − | 1079.30i | −0.926960 | − | 1.10471i | −0.994262 | − | 0.106975i | \(-0.965883\pi\) |
0.0673015 | − | 0.997733i | \(-0.478561\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −255.980 | + | 93.1690i | −0.261471 | + | 0.0951675i | ||||
\(980\) | −305.838 | − | 176.575i | −0.312079 | − | 0.180179i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −648.885 | − | 1123.90i | −0.660779 | − | 1.14450i | ||||
\(983\) | −606.673 | + | 723.005i | −0.617165 | + | 0.735508i | −0.980580 | − | 0.196119i | \(-0.937166\pi\) |
0.363415 | + | 0.931627i | \(0.381611\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −365.756 | − | 2074.30i | −0.371326 | − | 2.10589i | ||||
\(986\) | −145.761 | + | 25.7015i | −0.147830 | + | 0.0260665i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 35.6342 | + | 29.9006i | 0.0360670 | + | 0.0302638i | ||||
\(989\) | −606.463 | + | 350.142i | −0.613208 | + | 0.354036i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −424.153 | + | 734.654i | −0.428005 | + | 0.741326i | −0.996696 | − | 0.0812254i | \(-0.974117\pi\) |
0.568691 | + | 0.822551i | \(0.307450\pi\) | |||||||
\(992\) | −22.2399 | − | 61.1035i | −0.0224192 | − | 0.0615963i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −459.050 | + | 385.189i | −0.461821 | + | 0.387514i | ||||
\(995\) | −242.431 | + | 666.074i | −0.243649 | + | 0.669421i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −29.2963 | + | 166.148i | −0.0293845 | + | 0.166648i | −0.995969 | − | 0.0897017i | \(-0.971409\pi\) |
0.966584 | + | 0.256349i | \(0.0825198\pi\) | |||||||
\(998\) | − | 305.569i | − | 0.306181i | ||||||
\(999\) | 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 | 162.3.f.a.89.4 | 36 | ||
3.2 | odd | 2 | 54.3.f.a.29.1 | ✓ | 36 | ||
12.11 | even | 2 | 432.3.bc.c.353.6 | 36 | |||
27.11 | odd | 18 | 1458.3.b.c.1457.18 | 36 | |||
27.13 | even | 9 | 54.3.f.a.41.1 | yes | 36 | ||
27.14 | odd | 18 | inner | 162.3.f.a.71.4 | 36 | ||
27.16 | even | 9 | 1458.3.b.c.1457.19 | 36 | |||
108.67 | odd | 18 | 432.3.bc.c.257.6 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
54.3.f.a.29.1 | ✓ | 36 | 3.2 | odd | 2 | ||
54.3.f.a.41.1 | yes | 36 | 27.13 | even | 9 | ||
162.3.f.a.71.4 | 36 | 27.14 | odd | 18 | inner | ||
162.3.f.a.89.4 | 36 | 1.1 | even | 1 | trivial | ||
432.3.bc.c.257.6 | 36 | 108.67 | odd | 18 | |||
432.3.bc.c.353.6 | 36 | 12.11 | even | 2 | |||
1458.3.b.c.1457.18 | 36 | 27.11 | odd | 18 | |||
1458.3.b.c.1457.19 | 36 | 27.16 | even | 9 |