Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(136,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.et (of order \(12\), degree \(4\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 273) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 145.9 | ||
Character | \(\chi\) | \(=\) | 819.145 |
Dual form | 819.2.et.c.514.9 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.74581 | − | 1.74581i | 1.23447 | − | 1.23447i | 0.272248 | − | 0.962227i | \(-0.412233\pi\) |
0.962227 | − | 0.272248i | \(-0.0877670\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | − | 4.09571i | − | 2.04786i | ||||||
\(5\) | 2.78539 | − | 0.746344i | 1.24567 | − | 0.333775i | 0.425005 | − | 0.905191i | \(-0.360272\pi\) |
0.820661 | + | 0.571416i | \(0.193606\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.58285 | + | 0.573466i | −0.976227 | + | 0.216750i | ||||
\(8\) | −3.65872 | − | 3.65872i | −1.29355 | − | 1.29355i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.55979 | − | 6.16574i | 1.12571 | − | 1.94978i | ||||
\(11\) | 1.35345 | − | 0.362655i | 0.408080 | − | 0.109345i | −0.0489388 | − | 0.998802i | \(-0.515584\pi\) |
0.457019 | + | 0.889457i | \(0.348917\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.49837 | − | 0.872572i | 0.970274 | − | 0.242008i | ||||
\(14\) | −3.50801 | + | 5.51034i | −0.937556 | + | 1.47270i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.58344 | −1.14586 | ||||||||
\(17\) | −7.55665 | −1.83276 | −0.916379 | − | 0.400312i | \(-0.868902\pi\) | ||||
−0.916379 | + | 0.400312i | \(0.868902\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.78944 | − | 6.67828i | 0.410526 | − | 1.53210i | −0.383106 | − | 0.923704i | \(-0.625146\pi\) |
0.793632 | − | 0.608399i | \(-0.208188\pi\) | |||||||
\(20\) | −3.05681 | − | 11.4082i | −0.683523 | − | 2.55094i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.72974 | − | 2.99599i | 0.368781 | − | 0.638747i | ||||
\(23\) | − | 2.27807i | − | 0.475010i | −0.971386 | − | 0.237505i | \(-0.923670\pi\) | ||
0.971386 | − | 0.237505i | \(-0.0763296\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.87125 | − | 1.65772i | 0.574251 | − | 0.331544i | ||||
\(26\) | 4.58415 | − | 7.63085i | 0.899027 | − | 1.49653i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.34875 | + | 10.5786i | 0.443872 | + | 1.99917i | ||||
\(29\) | 3.75108 | + | 6.49707i | 0.696559 | + | 1.20647i | 0.969652 | + | 0.244487i | \(0.0786197\pi\) |
−0.273094 | + | 0.961987i | \(0.588047\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.39265 | + | 5.19745i | −0.250128 | + | 0.933490i | 0.720608 | + | 0.693342i | \(0.243863\pi\) |
−0.970736 | + | 0.240148i | \(0.922804\pi\) | |||||||
\(32\) | −0.684379 | + | 0.684379i | −0.120982 | + | 0.120982i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −13.1925 | + | 13.1925i | −2.26249 | + | 2.26249i | ||||
\(35\) | −6.76626 | + | 3.52502i | −1.14371 | + | 0.595838i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.61717 | + | 1.61717i | 0.265862 | + | 0.265862i | 0.827430 | − | 0.561569i | \(-0.189802\pi\) |
−0.561569 | + | 0.827430i | \(0.689802\pi\) | |||||||
\(38\) | −8.53499 | − | 14.7830i | −1.38456 | − | 2.39813i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −12.9216 | − | 7.46031i | −2.04309 | − | 1.17958i | ||||
\(41\) | −2.38652 | + | 8.90661i | −0.372712 | + | 1.39098i | 0.483948 | + | 0.875097i | \(0.339203\pi\) |
−0.856659 | + | 0.515882i | \(0.827464\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.04772 | + | 1.75960i | 0.464773 | + | 0.268337i | 0.714049 | − | 0.700096i | \(-0.246859\pi\) |
−0.249276 | + | 0.968432i | \(0.580193\pi\) | |||||||
\(44\) | −1.48533 | − | 5.54333i | −0.223922 | − | 0.835689i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.97708 | − | 3.97708i | −0.586388 | − | 0.586388i | ||||
\(47\) | 0.223361 | + | 0.833593i | 0.0325805 | + | 0.121592i | 0.980301 | − | 0.197510i | \(-0.0632854\pi\) |
−0.947720 | + | 0.319102i | \(0.896619\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.34227 | − | 2.96236i | 0.906039 | − | 0.423194i | ||||
\(50\) | 2.11860 | − | 7.90673i | 0.299616 | − | 1.11818i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.57380 | − | 14.3283i | −0.495597 | − | 1.98698i | ||||
\(53\) | 0.886338 | + | 1.53518i | 0.121748 | + | 0.210873i | 0.920457 | − | 0.390844i | \(-0.127817\pi\) |
−0.798709 | + | 0.601717i | \(0.794483\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.49922 | − | 2.02027i | 0.471834 | − | 0.272414i | ||||
\(56\) | 11.5481 | + | 7.35179i | 1.54318 | + | 0.982424i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 17.8913 | + | 4.79397i | 2.34925 | + | 0.629479i | ||||
\(59\) | −3.80628 | + | 3.80628i | −0.495536 | + | 0.495536i | −0.910045 | − | 0.414509i | \(-0.863953\pi\) |
0.414509 | + | 0.910045i | \(0.363953\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.62667 | + | 2.09386i | −0.464347 | + | 0.268091i | −0.713870 | − | 0.700278i | \(-0.753059\pi\) |
0.249523 | + | 0.968369i | \(0.419726\pi\) | |||||||
\(62\) | 6.64246 | + | 11.5051i | 0.843594 | + | 1.46115i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 6.77728i | − | 0.847160i | ||||||
\(65\) | 9.09310 | − | 5.04144i | 1.12786 | − | 0.625314i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.44159 | − | 5.38010i | −0.176119 | − | 0.657283i | −0.996358 | − | 0.0852636i | \(-0.972827\pi\) |
0.820240 | − | 0.572020i | \(-0.193840\pi\) | |||||||
\(68\) | 30.9499i | 3.75322i | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.65859 | + | 17.9666i | −0.676330 | + | 2.14742i | ||||
\(71\) | 1.75325 | + | 6.54321i | 0.208072 | + | 0.776536i | 0.988491 | + | 0.151279i | \(0.0483391\pi\) |
−0.780419 | + | 0.625257i | \(0.784994\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.10009 | + | 2.17041i | 0.948043 | + | 0.254027i | 0.699532 | − | 0.714601i | \(-0.253392\pi\) |
0.248512 | + | 0.968629i | \(0.420059\pi\) | |||||||
\(74\) | 5.64656 | 0.656399 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −27.3523 | − | 7.32903i | −3.13753 | − | 0.840698i | ||||
\(77\) | −3.28779 | + | 1.71284i | −0.374678 | + | 0.195196i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.411935 | − | 0.713493i | 0.0463463 | − | 0.0802742i | −0.841922 | − | 0.539600i | \(-0.818576\pi\) |
0.888268 | + | 0.459326i | \(0.151909\pi\) | |||||||
\(80\) | −12.7667 | + | 3.42082i | −1.42736 | + | 0.382459i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 11.3829 | + | 19.7157i | 1.25703 | + | 2.17723i | ||||
\(83\) | −2.15380 | − | 2.15380i | −0.236410 | − | 0.236410i | 0.578952 | − | 0.815362i | \(-0.303462\pi\) |
−0.815362 | + | 0.578952i | \(0.803462\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −21.0482 | + | 5.63986i | −2.28300 | + | 0.611729i | ||||
\(86\) | 8.39268 | − | 2.24881i | 0.905006 | − | 0.242496i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −6.27874 | − | 3.62503i | −0.669316 | − | 0.386430i | ||||
\(89\) | −1.81982 | + | 1.81982i | −0.192901 | + | 0.192901i | −0.796948 | − | 0.604047i | \(-0.793554\pi\) |
0.604047 | + | 0.796948i | \(0.293554\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −8.53540 | + | 4.25992i | −0.894753 | + | 0.446561i | ||||
\(92\) | −9.33031 | −0.972752 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.84524 | + | 1.06535i | 0.190322 | + | 0.109883i | ||||
\(95\) | − | 19.9372i | − | 2.04551i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.79336 | − | 2.35617i | 0.892830 | − | 0.239233i | 0.216896 | − | 0.976195i | \(-0.430407\pi\) |
0.675934 | + | 0.736962i | \(0.263740\pi\) | |||||||
\(98\) | 5.90070 | − | 16.2441i | 0.596060 | − | 1.64090i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −6.78954 | − | 11.7598i | −0.678954 | − | 1.17598i | ||||
\(101\) | −8.97642 | + | 15.5476i | −0.893187 | + | 1.54704i | −0.0571540 | + | 0.998365i | \(0.518203\pi\) |
−0.836033 | + | 0.548679i | \(0.815131\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.06226 | − | 5.30399i | 0.301734 | − | 0.522618i | −0.674795 | − | 0.738005i | \(-0.735768\pi\) |
0.976529 | + | 0.215387i | \(0.0691014\pi\) | |||||||
\(104\) | −15.9921 | − | 9.60707i | −1.56815 | − | 0.942051i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.22752 | + | 1.13276i | 0.410613 | + | 0.110023i | ||||
\(107\) | 4.73397 | 0.457650 | 0.228825 | − | 0.973468i | \(-0.426512\pi\) | ||||
0.228825 | + | 0.973468i | \(0.426512\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 17.0265 | + | 4.56224i | 1.63084 | + | 0.436983i | 0.954162 | − | 0.299291i | \(-0.0967502\pi\) |
0.676683 | + | 0.736275i | \(0.263417\pi\) | |||||||
\(110\) | 2.58196 | − | 9.63599i | 0.246180 | − | 0.918755i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 11.8384 | − | 2.62844i | 1.11862 | − | 0.248365i | ||||
\(113\) | 6.86440 | − | 11.8895i | 0.645748 | − | 1.11847i | −0.338380 | − | 0.941010i | \(-0.609879\pi\) |
0.984128 | − | 0.177459i | \(-0.0567879\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.70022 | − | 6.34531i | −0.158546 | − | 0.591703i | ||||
\(116\) | 26.6101 | − | 15.3634i | 2.47069 | − | 1.42645i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 13.2901i | 1.22345i | ||||||||
\(119\) | 19.5177 | − | 4.33348i | 1.78919 | − | 0.397250i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.82598 | + | 4.51833i | −0.711453 | + | 0.410757i | ||||
\(122\) | −2.67600 | + | 9.98695i | −0.242273 | + | 0.904176i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 21.2873 | + | 5.70391i | 1.91165 | + | 0.512226i | ||||
\(125\) | −3.43490 | + | 3.43490i | −0.307227 | + | 0.307227i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.36268 | + | 5.40554i | −0.830803 | + | 0.479665i | −0.854128 | − | 0.520063i | \(-0.825908\pi\) |
0.0233243 | + | 0.999728i | \(0.492575\pi\) | |||||||
\(128\) | −13.2006 | − | 13.2006i | −1.16678 | − | 1.16678i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 7.07344 | − | 24.6763i | 0.620381 | − | 2.16425i | ||||
\(131\) | −15.7531 | − | 9.09505i | −1.37635 | − | 0.794638i | −0.384635 | − | 0.923069i | \(-0.625673\pi\) |
−0.991719 | + | 0.128431i | \(0.959006\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.792097 | + | 18.2752i | −0.0686835 | + | 1.58466i | ||||
\(134\) | −11.9094 | − | 6.87588i | −1.02881 | − | 0.593986i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 27.6477 | + | 27.6477i | 2.37077 | + | 2.37077i | ||||
\(137\) | 6.88676 | + | 6.88676i | 0.588376 | + | 0.588376i | 0.937191 | − | 0.348815i | \(-0.113416\pi\) |
−0.348815 | + | 0.937191i | \(0.613416\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.6153 | − | 7.86079i | −1.15483 | − | 0.666744i | −0.204773 | − | 0.978809i | \(-0.565646\pi\) |
−0.950060 | + | 0.312066i | \(0.898979\pi\) | |||||||
\(140\) | 14.4375 | + | 27.7127i | 1.22019 | + | 2.34215i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 14.4840 | + | 8.36236i | 1.21547 | + | 0.701754i | ||||
\(143\) | 4.41842 | − | 2.44968i | 0.369487 | − | 0.204853i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 15.2973 | + | 15.2973i | 1.27037 | + | 1.27037i | ||||
\(146\) | 17.9303 | − | 10.3521i | 1.48393 | − | 0.856745i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.62347 | − | 6.62347i | 0.544446 | − | 0.544446i | ||||
\(149\) | −12.4375 | − | 3.33261i | −1.01892 | − | 0.273018i | −0.289567 | − | 0.957158i | \(-0.593511\pi\) |
−0.729351 | + | 0.684140i | \(0.760178\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.904012 | − | 3.37382i | 0.0735674 | − | 0.274557i | −0.919337 | − | 0.393471i | \(-0.871274\pi\) |
0.992905 | + | 0.118913i | \(0.0379410\pi\) | |||||||
\(152\) | −30.9810 | + | 17.8869i | −2.51289 | + | 1.45082i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.74956 | + | 8.73015i | −0.221566 | + | 0.703496i | ||||
\(155\) | 15.5163i | 1.24630i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.246511 | − | 0.142323i | 0.0196737 | − | 0.0113586i | −0.490131 | − | 0.871649i | \(-0.663051\pi\) |
0.509805 | + | 0.860290i | \(0.329718\pi\) | |||||||
\(158\) | −0.526462 | − | 1.96478i | −0.0418831 | − | 0.156310i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.39548 | + | 2.41705i | −0.110323 | + | 0.191084i | ||||
\(161\) | 1.30639 | + | 5.88392i | 0.102958 | + | 0.463718i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.54792 | − | 13.2410i | 0.277895 | − | 1.03712i | −0.675982 | − | 0.736918i | \(-0.736280\pi\) |
0.953877 | − | 0.300199i | \(-0.0970531\pi\) | |||||||
\(164\) | 36.4789 | + | 9.77450i | 2.84853 | + | 0.763260i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.52025 | −0.583684 | ||||||||
\(167\) | 8.45838 | + | 2.26642i | 0.654529 | + | 0.175381i | 0.570776 | − | 0.821106i | \(-0.306642\pi\) |
0.0837535 | + | 0.996487i | \(0.473309\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.4772 | − | 6.10516i | 0.882864 | − | 0.469628i | ||||
\(170\) | −26.9001 | + | 46.5924i | −2.06315 | + | 3.57347i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.20683 | − | 12.4826i | 0.549515 | − | 0.951789i | ||||
\(173\) | 5.42128 | + | 9.38993i | 0.412172 | + | 0.713903i | 0.995127 | − | 0.0986015i | \(-0.0314369\pi\) |
−0.582955 | + | 0.812504i | \(0.698104\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.46539 | + | 5.92821i | −0.488737 | + | 0.448131i | ||||
\(176\) | −6.20344 | + | 1.66221i | −0.467602 | + | 0.125294i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 6.35414i | 0.476263i | ||||||||
\(179\) | 7.07802 | + | 4.08650i | 0.529036 | + | 0.305439i | 0.740624 | − | 0.671920i | \(-0.234530\pi\) |
−0.211588 | + | 0.977359i | \(0.567863\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.10394 | 0.305043 | 0.152522 | − | 0.988300i | \(-0.451261\pi\) | ||||
0.152522 | + | 0.988300i | \(0.451261\pi\) | |||||||
\(182\) | −7.46417 | + | 22.3382i | −0.553281 | + | 1.65582i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −8.33481 | + | 8.33481i | −0.614450 | + | 0.614450i | ||||
\(185\) | 5.71143 | + | 3.29749i | 0.419912 | + | 0.242437i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −10.2275 | + | 2.74046i | −0.747911 | + | 0.200402i | ||||
\(188\) | 3.41416 | − | 0.914821i | 0.249003 | − | 0.0667201i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −34.8065 | − | 34.8065i | −2.52513 | − | 2.52513i | ||||
\(191\) | −2.20939 | − | 3.82678i | −0.159866 | − | 0.276896i | 0.774954 | − | 0.632017i | \(-0.217773\pi\) |
−0.934820 | + | 0.355121i | \(0.884440\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.8992 | − | 2.92042i | 0.784538 | − | 0.210216i | 0.155754 | − | 0.987796i | \(-0.450219\pi\) |
0.628785 | + | 0.777580i | \(0.283553\pi\) | |||||||
\(194\) | 11.2381 | − | 19.4650i | 0.806849 | − | 1.39750i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −12.1330 | − | 25.9761i | −0.866640 | − | 1.85544i | ||||
\(197\) | −4.66242 | − | 1.24929i | −0.332183 | − | 0.0890083i | 0.0888723 | − | 0.996043i | \(-0.471674\pi\) |
−0.421056 | + | 0.907035i | \(0.638340\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.5108 | −0.815981 | −0.407991 | − | 0.912986i | \(-0.633770\pi\) | ||||
−0.407991 | + | 0.912986i | \(0.633770\pi\) | |||||||
\(200\) | −16.5702 | − | 4.43998i | −1.17169 | − | 0.313954i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 11.4721 | + | 42.8143i | 0.807171 | + | 3.01240i | ||||
\(203\) | −13.4143 | − | 14.6299i | −0.941503 | − | 1.02681i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 26.5896i | 1.85710i | ||||||||
\(206\) | −3.91364 | − | 14.6059i | −0.272676 | − | 1.01764i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −16.0346 | + | 3.99938i | −1.11180 | + | 0.277307i | ||||
\(209\) | − | 9.68766i | − | 0.670109i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.96759 | − | 3.40797i | −0.135454 | − | 0.234614i | 0.790317 | − | 0.612699i | \(-0.209916\pi\) |
−0.925771 | + | 0.378085i | \(0.876583\pi\) | |||||||
\(212\) | 6.28766 | − | 3.63018i | 0.431839 | − | 0.249322i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 8.26461 | − | 8.26461i | 0.564957 | − | 0.564957i | ||||
\(215\) | 9.80237 | + | 2.62654i | 0.668516 | + | 0.179128i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.616459 | − | 14.2229i | 0.0418480 | − | 0.965514i | ||||
\(218\) | 37.6899 | − | 21.7603i | 2.55268 | − | 1.47379i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −8.27446 | − | 14.3318i | −0.557864 | − | 0.966249i | ||||
\(221\) | −26.4360 | + | 6.59372i | −1.77828 | + | 0.443542i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.38797 | − | 8.91203i | 0.159910 | − | 0.596794i | −0.838724 | − | 0.544556i | \(-0.816698\pi\) |
0.998635 | − | 0.0522375i | \(-0.0166353\pi\) | |||||||
\(224\) | 1.37518 | − | 2.16012i | 0.0918833 | − | 0.144329i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −8.77286 | − | 32.7408i | −0.583562 | − | 2.17788i | ||||
\(227\) | −4.15727 | − | 4.15727i | −0.275928 | − | 0.275928i | 0.555553 | − | 0.831481i | \(-0.312507\pi\) |
−0.831481 | + | 0.555553i | \(0.812507\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.564755 | + | 2.10769i | 0.0373201 | + | 0.139280i | 0.982072 | − | 0.188505i | \(-0.0603643\pi\) |
−0.944752 | + | 0.327786i | \(0.893698\pi\) | |||||||
\(230\) | −14.0460 | − | 8.10945i | −0.926164 | − | 0.534721i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 10.0468 | − | 37.4951i | 0.659603 | − | 2.46167i | ||||
\(233\) | 10.5892 | + | 6.11367i | 0.693720 | + | 0.400520i | 0.805004 | − | 0.593269i | \(-0.202163\pi\) |
−0.111284 | + | 0.993789i | \(0.535496\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.24429 | + | 2.15518i | 0.0811688 | + | 0.140588i | ||||
\(236\) | 15.5894 | + | 15.5894i | 1.01479 | + | 1.01479i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 26.5088 | − | 41.6397i | 1.71831 | − | 2.69910i | ||||
\(239\) | −7.97620 | + | 7.97620i | −0.515938 | + | 0.515938i | −0.916340 | − | 0.400402i | \(-0.868870\pi\) |
0.400402 | + | 0.916340i | \(0.368870\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.09005 | + | 9.09005i | −0.585542 | + | 0.585542i | −0.936421 | − | 0.350879i | \(-0.885883\pi\) |
0.350879 | + | 0.936421i | \(0.385883\pi\) | |||||||
\(242\) | −5.77453 | + | 21.5508i | −0.371201 | + | 1.38534i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 8.57584 | + | 14.8538i | 0.549012 | + | 0.950916i | ||||
\(245\) | 15.4548 | − | 12.9848i | 0.987370 | − | 0.829571i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.432850 | − | 24.9245i | 0.0275416 | − | 1.58591i | ||||
\(248\) | 24.1114 | − | 13.9207i | 1.53107 | − | 0.883965i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.9934i | 0.758528i | ||||||||
\(251\) | −13.1084 | + | 22.7045i | −0.827397 | + | 1.43309i | 0.0726757 | + | 0.997356i | \(0.476846\pi\) |
−0.900073 | + | 0.435739i | \(0.856487\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.826153 | − | 3.08324i | −0.0519398 | − | 0.193842i | ||||
\(254\) | −6.90841 | + | 25.7825i | −0.433472 | + | 1.61774i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −32.5370 | −2.03356 | ||||||||
\(257\) | −6.43364 | −0.401319 | −0.200660 | − | 0.979661i | \(-0.564309\pi\) | ||||
−0.200660 | + | 0.979661i | \(0.564309\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.10431 | − | 3.24953i | −0.317167 | − | 0.201916i | ||||
\(260\) | −20.6483 | − | 37.2427i | −1.28055 | − | 2.30970i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −43.3802 | + | 11.6237i | −2.68003 | + | 0.718113i | ||||
\(263\) | 7.50610 | − | 13.0010i | 0.462846 | − | 0.801673i | −0.536255 | − | 0.844056i | \(-0.680162\pi\) |
0.999101 | + | 0.0423827i | \(0.0134949\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.61457 | + | 3.61457i | 0.222041 | + | 0.222041i | ||||
\(266\) | 30.5222 | + | 33.2879i | 1.87144 | + | 2.04101i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −22.0353 | + | 5.90435i | −1.34602 | + | 0.360665i | ||||
\(269\) | − | 22.1690i | − | 1.35167i | −0.737054 | − | 0.675834i | \(-0.763784\pi\) | ||
0.737054 | − | 0.675834i | \(-0.236216\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.9017 | + | 14.9017i | −0.905214 | + | 0.905214i | −0.995881 | − | 0.0906673i | \(-0.971100\pi\) |
0.0906673 | + | 0.995881i | \(0.471100\pi\) | |||||||
\(272\) | 34.6354 | 2.10008 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 24.0460 | 1.45267 | ||||||||
\(275\) | 3.28491 | − | 3.28491i | 0.198088 | − | 0.198088i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.86815i | 0.592920i | 0.955045 | + | 0.296460i | \(0.0958061\pi\) | ||||
−0.955045 | + | 0.296460i | \(0.904194\pi\) | |||||||
\(278\) | −37.4932 | + | 10.0463i | −2.24869 | + | 0.602535i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 37.6529 | + | 11.8588i | 2.25019 | + | 0.708697i | ||||
\(281\) | −21.3933 | − | 21.3933i | −1.27622 | − | 1.27622i | −0.942768 | − | 0.333449i | \(-0.891788\pi\) |
−0.333449 | − | 0.942768i | \(-0.608212\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.7440 | − | 18.6092i | 0.638666 | − | 1.10620i | −0.347060 | − | 0.937843i | \(-0.612820\pi\) |
0.985726 | − | 0.168359i | \(-0.0538466\pi\) | |||||||
\(284\) | 26.7991 | − | 7.18080i | 1.59023 | − | 0.426102i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.43705 | − | 11.9904i | 0.203237 | − | 0.709008i | ||||
\(287\) | 1.05639 | − | 24.3731i | 0.0623570 | − | 1.43870i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 40.1030 | 2.35900 | ||||||||
\(290\) | 53.4123 | 3.13648 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.88938 | − | 33.1756i | 0.520212 | − | 1.94146i | ||||
\(293\) | 0.259901 | + | 0.969962i | 0.0151836 | + | 0.0566658i | 0.973102 | − | 0.230375i | \(-0.0739952\pi\) |
−0.957918 | + | 0.287041i | \(0.907329\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.76120 | + | 13.4428i | −0.451874 | + | 0.782670i | ||||
\(296\) | − | 11.8336i | − | 0.687812i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −27.5316 | + | 15.8954i | −1.59486 | + | 0.920795i | ||||
\(299\) | −1.98778 | − | 7.96953i | −0.114956 | − | 0.460890i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.88089 | − | 2.79703i | −0.511886 | − | 0.161218i | ||||
\(302\) | −4.31182 | − | 7.46828i | −0.248117 | − | 0.429751i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −8.20179 | + | 30.6095i | −0.470405 | + | 1.75557i | ||||
\(305\) | −8.53895 | + | 8.53895i | −0.488939 | + | 0.488939i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.86151 | + | 4.86151i | −0.277461 | + | 0.277461i | −0.832095 | − | 0.554634i | \(-0.812858\pi\) |
0.554634 | + | 0.832095i | \(0.312858\pi\) | |||||||
\(308\) | 7.01531 | + | 13.4658i | 0.399734 | + | 0.767287i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 27.0886 | + | 27.0886i | 1.53853 | + | 1.53853i | ||||
\(311\) | −6.85636 | − | 11.8756i | −0.388789 | − | 0.673402i | 0.603498 | − | 0.797364i | \(-0.293773\pi\) |
−0.992287 | + | 0.123963i | \(0.960440\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −29.5010 | − | 17.0324i | −1.66750 | − | 0.962730i | −0.968981 | − | 0.247137i | \(-0.920510\pi\) |
−0.698517 | − | 0.715593i | \(-0.746156\pi\) | |||||||
\(314\) | 0.181892 | − | 0.678830i | 0.0102648 | − | 0.0383086i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.92226 | − | 1.68717i | −0.164390 | − | 0.0949106i | ||||
\(317\) | 2.52285 | + | 9.41539i | 0.141697 | + | 0.528821i | 0.999880 | + | 0.0154772i | \(0.00492673\pi\) |
−0.858183 | + | 0.513344i | \(0.828407\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 7.43309 | + | 7.43309i | 0.416173 | + | 0.416173i | ||||
\(320\) | −5.05818 | − | 18.8774i | −0.282761 | − | 1.05528i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 12.5529 | + | 7.99149i | 0.699547 | + | 0.445348i | ||||
\(323\) | −13.5222 | + | 50.4655i | −0.752394 | + | 2.80797i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.59824 | − | 8.30470i | 0.476945 | − | 0.460662i | ||||
\(326\) | −16.9223 | − | 29.3103i | −0.937241 | − | 1.62335i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 41.3184 | − | 23.8552i | 2.28143 | − | 1.31718i | ||||
\(329\) | −1.05494 | − | 2.02496i | −0.0581610 | − | 0.111640i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −20.0124 | − | 5.36230i | −1.09998 | − | 0.294739i | −0.337223 | − | 0.941425i | \(-0.609488\pi\) |
−0.762756 | + | 0.646686i | \(0.776154\pi\) | |||||||
\(332\) | −8.82134 | + | 8.82134i | −0.484134 | + | 0.484134i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 18.7235 | − | 10.8100i | 1.02450 | − | 0.591497i | ||||
\(335\) | −8.03080 | − | 13.9098i | −0.438769 | − | 0.759971i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 26.8744i | 1.46394i | 0.681336 | + | 0.731971i | \(0.261399\pi\) | ||||
−0.681336 | + | 0.731971i | \(0.738601\pi\) | |||||||
\(338\) | 9.37862 | − | 30.6956i | 0.510130 | − | 1.66962i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 23.0992 | + | 86.2076i | 1.25273 | + | 4.67526i | ||||
\(341\) | 7.53954i | 0.408289i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.6824 | + | 11.2884i | −0.792773 | + | 0.609517i | ||||
\(344\) | −4.71286 | − | 17.5886i | −0.254101 | − | 0.948316i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 25.8576 | + | 6.92851i | 1.39011 | + | 0.372479i | ||||
\(347\) | 6.16871 | 0.331154 | 0.165577 | − | 0.986197i | \(-0.447051\pi\) | ||||
0.165577 | + | 0.986197i | \(0.447051\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −20.8536 | − | 5.58771i | −1.11627 | − | 0.299103i | −0.346896 | − | 0.937904i | \(-0.612764\pi\) |
−0.769372 | + | 0.638801i | \(0.779431\pi\) | |||||||
\(350\) | −0.937801 | + | 21.6369i | −0.0501276 | + | 1.15654i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.678077 | + | 1.17446i | −0.0361416 | + | 0.0625992i | ||||
\(353\) | −12.7937 | + | 3.42805i | −0.680938 | + | 0.182457i | −0.582677 | − | 0.812704i | \(-0.697995\pi\) |
−0.0982609 | + | 0.995161i | \(0.531328\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.76696 | + | 16.9169i | 0.518376 | + | 0.897854i | ||||
\(356\) | 7.45348 | + | 7.45348i | 0.395034 | + | 0.395034i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 19.4911 | − | 5.22264i | 1.03014 | − | 0.276025i | ||||
\(359\) | −4.76941 | + | 1.27796i | −0.251720 | + | 0.0674482i | −0.382473 | − | 0.923967i | \(-0.624927\pi\) |
0.130753 | + | 0.991415i | \(0.458261\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −24.9429 | − | 14.4008i | −1.31278 | − | 0.757936i | ||||
\(362\) | 7.16470 | − | 7.16470i | 0.376568 | − | 0.376568i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 17.4474 | + | 34.9585i | 0.914494 | + | 1.83233i | ||||
\(365\) | 24.1818 | 1.26573 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.7483 | + | 10.2470i | 0.926453 | + | 0.534888i | 0.885688 | − | 0.464281i | \(-0.153687\pi\) |
0.0407648 | + | 0.999169i | \(0.487021\pi\) | |||||||
\(368\) | 10.4414i | 0.544295i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 15.7279 | − | 4.21427i | 0.817653 | − | 0.219090i | ||||
\(371\) | −3.16966 | − | 3.45687i | −0.164560 | − | 0.179472i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.6214 | − | 20.1289i | −0.601735 | − | 1.04224i | −0.992558 | − | 0.121770i | \(-0.961143\pi\) |
0.390823 | − | 0.920466i | \(-0.372190\pi\) | |||||||
\(374\) | −13.0710 | + | 22.6397i | −0.675886 | + | 1.17067i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.23267 | − | 3.86710i | 0.115141 | − | 0.199430i | ||||
\(377\) | 18.7918 | + | 19.4561i | 0.967829 | + | 1.00204i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.6487 | − | 5.53282i | −1.06066 | − | 0.284202i | −0.314007 | − | 0.949421i | \(-0.601671\pi\) |
−0.746648 | + | 0.665219i | \(0.768338\pi\) | |||||||
\(380\) | −81.6569 | −4.18891 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.5380 | − | 2.82365i | −0.539171 | − | 0.144471i | ||||
\(383\) | −2.74839 | + | 10.2571i | −0.140436 | + | 0.524114i | 0.859480 | + | 0.511169i | \(0.170787\pi\) |
−0.999916 | + | 0.0129453i | \(0.995879\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.87941 | + | 7.22476i | −0.401572 | + | 0.368208i | ||||
\(386\) | 13.9294 | − | 24.1264i | 0.708986 | − | 1.22800i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −9.65021 | − | 36.0151i | −0.489915 | − | 1.82839i | ||||
\(389\) | −14.3360 | + | 8.27689i | −0.726864 | + | 0.419655i | −0.817274 | − | 0.576250i | \(-0.804516\pi\) |
0.0904098 | + | 0.995905i | \(0.471182\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 17.2146i | 0.870578i | ||||||||
\(392\) | −34.0430 | − | 12.3662i | −1.71943 | − | 0.624586i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −10.3207 | + | 5.95867i | −0.519951 | + | 0.300194i | ||||
\(395\) | 0.614890 | − | 2.29480i | 0.0309385 | − | 0.115464i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −28.5741 | − | 7.65641i | −1.43409 | − | 0.384264i | −0.543632 | − | 0.839323i | \(-0.682951\pi\) |
−0.890461 | + | 0.455059i | \(0.849618\pi\) | |||||||
\(398\) | −20.0957 | + | 20.0957i | −1.00731 | + | 1.00731i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −13.1602 | + | 7.59805i | −0.658011 | + | 0.379903i | ||||
\(401\) | −7.16742 | − | 7.16742i | −0.357924 | − | 0.357924i | 0.505123 | − | 0.863047i | \(-0.331447\pi\) |
−0.863047 | + | 0.505123i | \(0.831447\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.336871 | + | 19.3978i | −0.0167807 | + | 0.966275i | ||||
\(404\) | 63.6785 | + | 36.7648i | 3.16813 | + | 1.82912i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −48.9599 | − | 2.12205i | −2.42984 | − | 0.105316i | ||||
\(407\) | 2.77523 | + | 1.60228i | 0.137563 | + | 0.0794222i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.06212 | − | 2.06212i | −0.101965 | − | 0.101965i | 0.654284 | − | 0.756249i | \(-0.272970\pi\) |
−0.756249 | + | 0.654284i | \(0.772970\pi\) | |||||||
\(410\) | 46.4204 | + | 46.4204i | 2.29254 | + | 2.29254i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −21.7236 | − | 12.5421i | −1.07025 | − | 0.617907i | ||||
\(413\) | 7.64830 | − | 12.0139i | 0.376348 | − | 0.591163i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.60664 | − | 4.39170i | −0.373395 | − | 0.215580i | ||||
\(416\) | −1.79704 | + | 2.99138i | −0.0881073 | + | 0.146665i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −16.9128 | − | 16.9128i | −0.827233 | − | 0.827233i | ||||
\(419\) | −8.98142 | + | 5.18542i | −0.438771 | + | 0.253325i | −0.703076 | − | 0.711115i | \(-0.748191\pi\) |
0.264305 | + | 0.964439i | \(0.414857\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.7368 | − | 26.7368i | 1.30307 | − | 1.30307i | 0.376762 | − | 0.926310i | \(-0.377038\pi\) |
0.926310 | − | 0.376762i | \(-0.122962\pi\) | |||||||
\(422\) | −9.38470 | − | 2.51462i | −0.456840 | − | 0.122410i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.37394 | − | 8.85966i | 0.115289 | − | 0.430263i | ||||
\(425\) | −21.6971 | + | 12.5268i | −1.05246 | + | 0.607640i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.16640 | − | 7.48790i | 0.395200 | − | 0.362365i | ||||
\(428\) | − | 19.3890i | − | 0.937201i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 21.6985 | − | 12.5276i | 1.04640 | − | 0.604137i | ||||
\(431\) | 6.33146 | + | 23.6293i | 0.304976 | + | 1.13818i | 0.932966 | + | 0.359964i | \(0.117211\pi\) |
−0.627991 | + | 0.778221i | \(0.716122\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.76052 | − | 15.1737i | 0.421004 | − | 0.729200i | −0.575034 | − | 0.818129i | \(-0.695011\pi\) |
0.996038 | + | 0.0889293i | \(0.0283445\pi\) | |||||||
\(434\) | −23.7543 | − | 25.9067i | −1.14024 | − | 1.24356i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 18.6856 | − | 69.7357i | 0.894879 | − | 3.33974i | ||||
\(437\) | −15.2136 | − | 4.07647i | −0.727764 | − | 0.195004i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 19.8929 | 0.949437 | 0.474719 | − | 0.880138i | \(-0.342550\pi\) | ||||
0.474719 | + | 0.880138i | \(0.342550\pi\) | |||||||
\(440\) | −20.1943 | − | 5.41104i | −0.962724 | − | 0.257961i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −34.6409 | + | 57.6636i | −1.64770 | + | 2.74278i | ||||
\(443\) | −7.68921 | + | 13.3181i | −0.365325 | + | 0.632762i | −0.988828 | − | 0.149059i | \(-0.952376\pi\) |
0.623503 | + | 0.781821i | \(0.285709\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.71071 | + | 6.42714i | −0.175905 | + | 0.304676i | ||||
\(446\) | −11.3898 | − | 19.7277i | −0.539322 | − | 0.934132i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 3.88654 | + | 17.5047i | 0.183622 | + | 0.827021i | ||||
\(449\) | 3.38883 | − | 0.908034i | 0.159929 | − | 0.0428528i | −0.177966 | − | 0.984037i | \(-0.556952\pi\) |
0.337895 | + | 0.941184i | \(0.390285\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.9201i | 0.608385i | ||||||||
\(452\) | −48.6959 | − | 28.1146i | −2.29046 | − | 1.32240i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −14.5156 | −0.681252 | ||||||||
\(455\) | −20.5951 | + | 18.2359i | −0.965512 | + | 0.854912i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −21.5661 | + | 21.5661i | −1.00882 | + | 1.00882i | −0.00885742 | + | 0.999961i | \(0.502819\pi\) |
−0.999961 | + | 0.00885742i | \(0.997181\pi\) | |||||||
\(458\) | 4.66559 | + | 2.69368i | 0.218009 | + | 0.125867i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −25.9886 | + | 6.96362i | −1.21172 | + | 0.324680i | ||||
\(461\) | 19.6958 | − | 5.27746i | 0.917323 | − | 0.245796i | 0.230882 | − | 0.972982i | \(-0.425839\pi\) |
0.686441 | + | 0.727186i | \(0.259172\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.72370 | + | 7.72370i | 0.358951 | + | 0.358951i | 0.863426 | − | 0.504475i | \(-0.168314\pi\) |
−0.504475 | + | 0.863426i | \(0.668314\pi\) | |||||||
\(464\) | −17.1929 | − | 29.7789i | −0.798158 | − | 1.38245i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 29.1600 | − | 7.81340i | 1.35081 | − | 0.361949i | ||||
\(467\) | −17.0696 | + | 29.5655i | −0.789888 | + | 1.36813i | 0.136147 | + | 0.990689i | \(0.456528\pi\) |
−0.926035 | + | 0.377438i | \(0.876805\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.80872 | + | 13.0693i | 0.314398 | + | 0.603484i | ||||
\(470\) | 5.93484 | + | 1.59023i | 0.273754 | + | 0.0733521i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 27.8522 | 1.28200 | ||||||||
\(473\) | 4.76306 | + | 1.27626i | 0.219006 | + | 0.0586824i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.93278 | − | 22.1414i | −0.272215 | − | 1.01592i | ||||
\(476\) | −17.7487 | − | 79.9390i | −0.813510 | − | 3.66400i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 27.8499i | 1.27382i | ||||||||
\(479\) | −4.49601 | − | 16.7793i | −0.205428 | − | 0.766668i | −0.989319 | − | 0.145769i | \(-0.953434\pi\) |
0.783891 | − | 0.620899i | \(-0.213232\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.06857 | + | 4.24638i | 0.322299 | + | 0.193618i | ||||
\(482\) | 31.7390i | 1.44567i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 18.5058 | + | 32.0530i | 0.841172 | + | 1.45695i | ||||
\(485\) | 22.7344 | − | 13.1257i | 1.03232 | − | 0.596009i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.01723 | − | 9.01723i | 0.408610 | − | 0.408610i | −0.472644 | − | 0.881254i | \(-0.656700\pi\) |
0.881254 | + | 0.472644i | \(0.156700\pi\) | |||||||
\(488\) | 20.9298 | + | 5.60812i | 0.947447 | + | 0.253868i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.31205 | − | 49.6502i | 0.194799 | − | 2.24297i | ||||
\(491\) | 16.0173 | − | 9.24760i | 0.722851 | − | 0.417339i | −0.0929498 | − | 0.995671i | \(-0.529630\pi\) |
0.815801 | + | 0.578332i | \(0.196296\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −28.3456 | − | 49.0961i | −1.27662 | − | 2.21118i | ||||
\(494\) | −42.7579 | − | 44.2692i | −1.92377 | − | 1.99177i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.38314 | − | 23.8222i | 0.286612 | − | 1.06965i | ||||
\(497\) | −8.28069 | − | 15.8947i | −0.371440 | − | 0.712976i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.65516 | + | 36.0336i | 0.432224 | + | 1.61308i | 0.747622 | + | 0.664124i | \(0.231195\pi\) |
−0.315398 | + | 0.948960i | \(0.602138\pi\) | |||||||
\(500\) | 14.0684 | + | 14.0684i | 0.629157 | + | 0.629157i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 16.7529 | + | 62.5226i | 0.747718 | + | 2.79052i | ||||
\(503\) | −12.6061 | − | 7.27816i | −0.562080 | − | 0.324517i | 0.191900 | − | 0.981415i | \(-0.438535\pi\) |
−0.753980 | + | 0.656897i | \(0.771868\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −13.3990 | + | 50.0057i | −0.596247 | + | 2.22522i | ||||
\(506\) | −6.82507 | − | 3.94046i | −0.303411 | − | 0.175175i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 22.1396 | + | 38.3468i | 0.982284 | + | 1.70137i | ||||
\(509\) | −0.381529 | − | 0.381529i | −0.0169110 | − | 0.0169110i | 0.698601 | − | 0.715512i | \(-0.253806\pi\) |
−0.715512 | + | 0.698601i | \(0.753806\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −22.1660 | − | 0.960734i | −0.980566 | − | 0.0425004i | ||||
\(512\) | −30.4022 | + | 30.4022i | −1.34360 | + | 1.34360i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −11.2319 | + | 11.2319i | −0.495419 | + | 0.495419i | ||||
\(515\) | 4.57100 | − | 17.0592i | 0.201422 | − | 0.751718i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.604614 | + | 1.04722i | 0.0265909 | + | 0.0460567i | ||||
\(518\) | −14.5842 | + | 3.23811i | −0.640794 | + | 0.142274i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −51.7143 | − | 14.8239i | −2.26782 | − | 0.650070i | ||||
\(521\) | 30.2442 | − | 17.4615i | 1.32502 | − | 0.765003i | 0.340499 | − | 0.940245i | \(-0.389404\pi\) |
0.984525 | + | 0.175242i | \(0.0560707\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 21.0562i | − | 0.920725i | −0.887731 | − | 0.460362i | \(-0.847719\pi\) | ||
0.887731 | − | 0.460362i | \(-0.152281\pi\) | |||||||
\(524\) | −37.2507 | + | 64.5201i | −1.62730 | + | 2.81857i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.59297 | − | 35.8014i | −0.418273 | − | 1.56102i | ||||
\(527\) | 10.5238 | − | 39.2754i | 0.458424 | − | 1.71086i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.8104 | 0.774366 | ||||||||
\(530\) | 12.6207 | 0.548209 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 74.8500 | + | 3.24420i | 3.24516 | + | 0.140654i | ||||
\(533\) | −0.577279 | + | 33.2411i | −0.0250047 | + | 1.43983i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 13.1860 | − | 3.53317i | 0.570078 | − | 0.152752i | ||||
\(536\) | −14.4099 | + | 24.9586i | −0.622412 | + | 1.07805i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −38.7029 | − | 38.7029i | −1.66860 | − | 1.66860i | ||||
\(539\) | 7.50962 | − | 6.30945i | 0.323462 | − | 0.271767i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −30.9919 | + | 8.30427i | −1.33245 | + | 0.357028i | −0.853627 | − | 0.520884i | \(-0.825602\pi\) |
−0.478821 | + | 0.877913i | \(0.658936\pi\) | |||||||
\(542\) | 52.0311i | 2.23493i | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.17161 | − | 5.17161i | 0.221731 | − | 0.221731i | ||||
\(545\) | 50.8305 | 2.17734 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 12.5039 | 0.534630 | 0.267315 | − | 0.963609i | \(-0.413864\pi\) | ||||
0.267315 | + | 0.963609i | \(0.413864\pi\) | |||||||
\(548\) | 28.2062 | − | 28.2062i | 1.20491 | − | 1.20491i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | − | 11.4697i | − | 0.489068i | ||||||
\(551\) | 50.1016 | − | 13.4247i | 2.13440 | − | 0.571911i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.654805 | + | 2.07908i | −0.0278451 | + | 0.0884114i | ||||
\(554\) | 17.2279 | + | 17.2279i | 0.731944 | + | 0.731944i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −32.1955 | + | 55.7643i | −1.36540 | + | 2.36493i | ||||
\(557\) | 30.4076 | − | 8.14769i | 1.28841 | − | 0.345229i | 0.451354 | − | 0.892345i | \(-0.350941\pi\) |
0.837057 | + | 0.547116i | \(0.184274\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 12.1974 | + | 3.49639i | 0.515897 | + | 0.147882i | ||||
\(560\) | 31.0127 | − | 16.1567i | 1.31053 | − | 0.682746i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −74.6973 | −3.15092 | ||||||||
\(563\) | −3.71449 | −0.156547 | −0.0782736 | − | 0.996932i | \(-0.524941\pi\) | ||||
−0.0782736 | + | 0.996932i | \(0.524941\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 10.2464 | − | 38.2401i | 0.431069 | − | 1.60877i | ||||
\(566\) | −13.7311 | − | 51.2452i | −0.577161 | − | 2.15399i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 17.5251 | − | 30.3544i | 0.735337 | − | 1.27364i | ||||
\(569\) | 28.7690i | 1.20606i | 0.797718 | + | 0.603030i | \(0.206040\pi\) | ||||
−0.797718 | + | 0.603030i | \(0.793960\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 38.1385 | − | 22.0193i | 1.59605 | − | 0.921478i | 0.603808 | − | 0.797130i | \(-0.293649\pi\) |
0.992239 | − | 0.124348i | \(-0.0396839\pi\) | |||||||
\(572\) | −10.0332 | − | 18.0966i | −0.419509 | − | 0.756656i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −40.7065 | − | 44.3951i | −1.69906 | − | 1.85301i | ||||
\(575\) | −3.77640 | − | 6.54091i | −0.157487 | − | 0.272775i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.37814 | − | 20.0715i | 0.223895 | − | 0.835587i | −0.758950 | − | 0.651149i | \(-0.774287\pi\) |
0.982844 | − | 0.184437i | \(-0.0590462\pi\) | |||||||
\(578\) | 70.0123 | − | 70.0123i | 2.91213 | − | 2.91213i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 62.6533 | − | 62.6533i | 2.60154 | − | 2.60154i | ||||
\(581\) | 6.79808 | + | 4.32782i | 0.282032 | + | 0.179548i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.75635 | + | 1.75635i | 0.0727407 | + | 0.0727407i | ||||
\(584\) | −21.6950 | − | 37.5769i | −0.897746 | − | 1.55494i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.14711 | + | 1.23963i | 0.0886962 | + | 0.0512088i | ||||
\(587\) | 11.1326 | − | 41.5473i | 0.459491 | − | 1.71484i | −0.215049 | − | 0.976603i | \(-0.568991\pi\) |
0.674540 | − | 0.738239i | \(-0.264342\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 32.2180 | + | 18.6011i | 1.32752 | + | 0.766444i | ||||
\(590\) | 9.91899 | + | 37.0182i | 0.408358 | + | 1.52401i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −7.41221 | − | 7.41221i | −0.304640 | − | 0.304640i | ||||
\(593\) | 0.460561 | + | 1.71884i | 0.0189130 | + | 0.0705842i | 0.974737 | − | 0.223354i | \(-0.0717006\pi\) |
−0.955824 | + | 0.293938i | \(0.905034\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 51.1303 | − | 26.6374i | 2.09614 | − | 1.09203i | ||||
\(596\) | −13.6494 | + | 50.9403i | −0.559102 | + | 2.08660i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −17.3836 | − | 10.4430i | −0.710867 | − | 0.427047i | ||||
\(599\) | −8.48260 | − | 14.6923i | −0.346590 | − | 0.600311i | 0.639052 | − | 0.769164i | \(-0.279327\pi\) |
−0.985641 | + | 0.168853i | \(0.945994\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 30.5871 | − | 17.6595i | 1.24767 | − | 0.720345i | 0.277029 | − | 0.960862i | \(-0.410650\pi\) |
0.970645 | + | 0.240517i | \(0.0773170\pi\) | |||||||
\(602\) | −20.3875 | + | 10.6213i | −0.830931 | + | 0.432891i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −13.8182 | − | 3.70257i | −0.562254 | − | 0.150656i | ||||
\(605\) | −18.4262 | + | 18.4262i | −0.749131 | + | 0.749131i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −17.5660 | + | 10.1417i | −0.712980 | + | 0.411639i | −0.812164 | − | 0.583430i | \(-0.801710\pi\) |
0.0991833 | + | 0.995069i | \(0.468377\pi\) | |||||||
\(608\) | 3.34582 | + | 5.79513i | 0.135691 | + | 0.235024i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 29.8148i | 1.20717i | ||||||||
\(611\) | 1.50877 | + | 2.72132i | 0.0610382 | + | 0.110093i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.42633 | − | 23.9834i | −0.259557 | − | 0.968680i | −0.965498 | − | 0.260410i | \(-0.916142\pi\) |
0.705941 | − | 0.708270i | \(-0.250524\pi\) | |||||||
\(614\) | 16.9745i | 0.685037i | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 18.2959 | + | 5.76228i | 0.737163 | + | 0.232169i | ||||
\(617\) | −7.80877 | − | 29.1427i | −0.314369 | − | 1.17324i | −0.924575 | − | 0.380999i | \(-0.875580\pi\) |
0.610206 | − | 0.792243i | \(-0.291087\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −38.9926 | − | 10.4480i | −1.56724 | − | 0.419942i | −0.632296 | − | 0.774727i | \(-0.717887\pi\) |
−0.934948 | + | 0.354785i | \(0.884554\pi\) | |||||||
\(620\) | 63.5505 | 2.55225 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −32.7024 | − | 8.76259i | −1.31125 | − | 0.351348i | ||||
\(623\) | 3.65674 | − | 5.74395i | 0.146504 | − | 0.230127i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −15.2925 | + | 26.4874i | −0.611701 | + | 1.05950i | ||||
\(626\) | −81.2387 | + | 21.7678i | −3.24695 | + | 0.870018i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.582914 | − | 1.00964i | −0.0232608 | − | 0.0402889i | ||||
\(629\) | −12.2204 | − | 12.2204i | −0.487260 | − | 0.487260i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.8790 | − | 3.18298i | 0.472897 | − | 0.126712i | −0.0144963 | − | 0.999895i | \(-0.504614\pi\) |
0.487393 | + | 0.873183i | \(0.337948\pi\) | |||||||
\(632\) | −4.11762 | + | 1.10331i | −0.163790 | + | 0.0438875i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 20.8419 | + | 12.0331i | 0.827738 | + | 0.477895i | ||||
\(635\) | −22.0443 | + | 22.0443i | −0.874803 | + | 0.874803i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 19.6028 | − | 15.8975i | 0.776690 | − | 0.629883i | ||||
\(638\) | 25.9535 | 1.02751 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −46.6211 | − | 26.9167i | −1.84286 | − | 1.06398i | ||||
\(641\) | 10.9869i | 0.433956i | 0.976176 | + | 0.216978i | \(0.0696200\pi\) | ||||
−0.976176 | + | 0.216978i | \(0.930380\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −5.20127 | + | 1.39368i | −0.205118 | + | 0.0549612i | −0.359915 | − | 0.932985i | \(-0.617194\pi\) |
0.154797 | + | 0.987946i | \(0.450528\pi\) | |||||||
\(644\) | 24.0988 | − | 5.35061i | 0.949627 | − | 0.210844i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 64.4960 | + | 111.710i | 2.53756 | + | 4.39518i | ||||
\(647\) | 19.1619 | − | 33.1894i | 0.753333 | − | 1.30481i | −0.192866 | − | 0.981225i | \(-0.561778\pi\) |
0.946199 | − | 0.323586i | \(-0.104888\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.77124 | + | 6.53198i | −0.148034 | + | 0.256402i | ||||
\(650\) | 0.512472 | − | 29.5093i | 0.0201008 | − | 1.15745i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −54.2315 | − | 14.5313i | −2.12387 | − | 0.569089i | ||||
\(653\) | −7.74794 | −0.303200 | −0.151600 | − | 0.988442i | \(-0.548443\pi\) | ||||
−0.151600 | + | 0.988442i | \(0.548443\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −50.6666 | − | 13.5761i | −1.97971 | − | 0.530461i | ||||
\(656\) | 10.9385 | − | 40.8229i | 0.427075 | − | 1.59387i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −5.37693 | − | 1.69346i | −0.209615 | − | 0.0660180i | ||||
\(659\) | −1.59593 | + | 2.76423i | −0.0621686 | + | 0.107679i | −0.895435 | − | 0.445193i | \(-0.853135\pi\) |
0.833266 | + | 0.552872i | \(0.186468\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.11096 | + | 4.14615i | 0.0432113 | + | 0.161267i | 0.984160 | − | 0.177282i | \(-0.0567306\pi\) |
−0.940949 | + | 0.338549i | \(0.890064\pi\) | |||||||
\(662\) | −44.2994 | + | 25.5763i | −1.72174 | + | 0.994049i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 15.7603i | 0.611617i | ||||||||
\(665\) | 11.4333 | + | 51.4948i | 0.443364 | + | 1.99688i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 14.8008 | − | 8.54522i | 0.573087 | − | 0.330872i | ||||
\(668\) | 9.28259 | − | 34.6431i | 0.359154 | − | 1.34038i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −38.3041 | − | 10.2635i | −1.47982 | − | 0.396515i | ||||
\(671\) | −4.14915 | + | 4.14915i | −0.160176 | + | 0.160176i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.6256 | − | 6.71205i | 0.448134 | − | 0.258731i | −0.258908 | − | 0.965902i | \(-0.583362\pi\) |
0.707042 | + | 0.707172i | \(0.250029\pi\) | |||||||
\(674\) | 46.9176 | + | 46.9176i | 1.80720 | + | 1.80720i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −25.0050 | − | 47.0075i | −0.961731 | − | 1.80798i | ||||
\(677\) | 19.3278 | + | 11.1589i | 0.742830 | + | 0.428873i | 0.823097 | − | 0.567901i | \(-0.192244\pi\) |
−0.0802677 | + | 0.996773i | \(0.525578\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −21.3608 | + | 11.1283i | −0.819751 | + | 0.427067i | ||||
\(680\) | 97.6443 | + | 56.3749i | 3.74449 | + | 2.16188i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 13.1626 | + | 13.1626i | 0.504022 | + | 0.504022i | ||||
\(683\) | 5.15641 | + | 5.15641i | 0.197304 | + | 0.197304i | 0.798843 | − | 0.601539i | \(-0.205446\pi\) |
−0.601539 | + | 0.798843i | \(0.705446\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 24.3222 | + | 14.0424i | 0.929305 | + | 0.536534i | ||||
\(686\) | −5.92518 | + | 45.3401i | −0.226225 | + | 1.73109i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −13.9690 | − | 8.06503i | −0.532565 | − | 0.307476i | ||||
\(689\) | 4.44030 | + | 4.59725i | 0.169162 | + | 0.175141i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.98871 | + | 7.98871i | 0.303905 | + | 0.303905i | 0.842539 | − | 0.538635i | \(-0.181060\pi\) |
−0.538635 | + | 0.842539i | \(0.681060\pi\) | |||||||
\(692\) | 38.4584 | − | 22.2040i | 1.46197 | − | 0.844069i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 10.7694 | − | 10.7694i | 0.408801 | − | 0.408801i | ||||
\(695\) | −43.7908 | − | 11.7337i | −1.66108 | − | 0.445085i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.0341 | − | 67.3042i | 0.683090 | − | 2.54933i | ||||
\(698\) | −46.1615 | + | 26.6514i | −1.74724 | + | 1.00877i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 24.2803 | + | 26.4804i | 0.917708 | + | 1.00086i | ||||
\(701\) | 0.777837i | 0.0293785i | 0.999892 | + | 0.0146892i | \(0.00467590\pi\) | ||||
−0.999892 | + | 0.0146892i | \(0.995324\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 13.6938 | − | 7.90610i | 0.516470 | − | 0.298184i | ||||
\(704\) | −2.45782 | − | 9.17270i | −0.0926325 | − | 0.345709i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −16.3506 | + | 28.3200i | −0.615362 | + | 1.06584i | ||||
\(707\) | 14.2688 | − | 45.3049i | 0.536632 | − | 1.70387i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.571859 | − | 2.13421i | 0.0214766 | − | 0.0801518i | −0.954356 | − | 0.298672i | \(-0.903456\pi\) |
0.975832 | + | 0.218520i | \(0.0701230\pi\) | |||||||
\(710\) | 46.5849 | + | 12.4824i | 1.74830 | + | 0.468456i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 13.3165 | 0.499055 | ||||||||
\(713\) | 11.8402 | + | 3.17256i | 0.443417 | + | 0.118813i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.4787 | − | 10.1210i | 0.391882 | − | 0.378504i | ||||
\(716\) | 16.7371 | − | 28.9896i | 0.625496 | − | 1.08339i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −6.09542 | + | 10.5576i | −0.227479 | + | 0.394005i | ||||
\(719\) | 6.15320 | + | 10.6577i | 0.229476 | + | 0.397463i | 0.957653 | − | 0.287926i | \(-0.0929656\pi\) |
−0.728177 | + | 0.685389i | \(0.759632\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.86772 | + | 15.4555i | −0.181283 | + | 0.575594i | ||||
\(722\) | −68.6866 | + | 18.4045i | −2.55625 | + | 0.684945i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 16.8086i | − | 0.624685i | ||||||
\(725\) | 21.5406 | + | 12.4365i | 0.799999 | + | 0.461880i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 46.3414 | 1.71871 | 0.859353 | − | 0.511383i | \(-0.170867\pi\) | ||||
0.859353 | + | 0.511383i | \(0.170867\pi\) | |||||||
\(728\) | 46.8145 | + | 15.6428i | 1.73506 | + | 0.579759i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 42.2168 | − | 42.2168i | 1.56252 | − | 1.56252i | ||||
\(731\) | −23.0306 | − | 13.2967i | −0.851817 | − | 0.491797i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 16.0476 | − | 4.29994i | 0.592731 | − | 0.158822i | 0.0500300 | − | 0.998748i | \(-0.484068\pi\) |
0.542701 | + | 0.839926i | \(0.317402\pi\) | |||||||
\(734\) | 48.8744 | − | 13.0959i | 1.80399 | − | 0.483377i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.55906 | + | 1.55906i | 0.0574678 | + | 0.0574678i | ||||
\(737\) | −3.90224 | − | 6.75888i | −0.143741 | − | 0.248966i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.40979 | + | 0.913649i | −0.125431 | + | 0.0336091i | −0.320988 | − | 0.947083i | \(-0.604015\pi\) |
0.195557 | + | 0.980692i | \(0.437348\pi\) | |||||||
\(740\) | 13.5056 | − | 23.3924i | 0.496475 | − | 0.859920i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −11.5687 | − | 0.501417i | −0.424699 | − | 0.0184076i | ||||
\(743\) | −42.9886 | − | 11.5188i | −1.57710 | − | 0.422583i | −0.639073 | − | 0.769146i | \(-0.720682\pi\) |
−0.938027 | + | 0.346563i | \(0.887349\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −37.1305 | −1.36036 | ||||||||
\(746\) | −55.4301 | − | 14.8525i | −2.02944 | − | 0.543787i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 11.2241 | + | 41.8890i | 0.410395 | + | 1.53161i | ||||
\(749\) | −12.2271 | + | 2.71477i | −0.446770 | + | 0.0991955i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 52.0913i | − | 1.90084i | −0.310970 | − | 0.950420i | \(-0.600654\pi\) | ||
0.310970 | − | 0.950420i | \(-0.399346\pi\) | |||||||
\(752\) | −1.02376 | − | 3.82072i | −0.0373327 | − | 0.139327i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 66.7736 | + | 1.15962i | 2.43175 | + | 0.0422309i | ||||
\(755\) | − | 10.0721i | − | 0.366562i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 23.5702 | + | 40.8248i | 0.856674 | + | 1.48380i | 0.875083 | + | 0.483973i | \(0.160807\pi\) |
−0.0184085 | + | 0.999831i | \(0.505860\pi\) | |||||||
\(758\) | −45.7081 | + | 26.3896i | −1.66019 | + | 0.958512i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −72.9445 | + | 72.9445i | −2.64598 | + | 2.64598i | ||||
\(761\) | −29.1992 | − | 7.82391i | −1.05847 | − | 0.283616i | −0.312723 | − | 0.949844i | \(-0.601241\pi\) |
−0.745748 | + | 0.666228i | \(0.767908\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −46.5933 | − | 2.01948i | −1.68679 | − | 0.0731101i | ||||
\(764\) | −15.6734 | + | 9.04903i | −0.567043 | + | 0.327382i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.1088 | + | 22.7052i | 0.473641 | + | 0.820371i | ||||
\(767\) | −9.99455 | + | 16.6371i | −0.360882 | + | 0.600729i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.17278 | − | 4.37689i | 0.0422916 | − | 0.157835i | −0.941551 | − | 0.336871i | \(-0.890631\pi\) |
0.983842 | + | 0.179037i | \(0.0572980\pi\) | |||||||
\(770\) | −1.14290 | + | 26.3690i | −0.0411874 | + | 0.950273i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −11.9612 | − | 44.6398i | −0.430493 | − | 1.60662i | ||||
\(773\) | 1.58168 | + | 1.58168i | 0.0568893 | + | 0.0568893i | 0.734979 | − | 0.678090i | \(-0.237192\pi\) |
−0.678090 | + | 0.734979i | \(0.737192\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.61726 | + | 17.2318i | 0.165857 | + | 0.618986i | ||||
\(776\) | −40.7930 | − | 23.5518i | −1.46438 | − | 0.845462i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −10.5781 | + | 39.4778i | −0.379242 | + | 1.41535i | ||||
\(779\) | 55.2104 | + | 31.8757i | 1.97812 | + | 1.14207i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.74586 | + | 8.22006i | 0.169820 | + | 0.294137i | ||||
\(782\) | 30.0534 | + | 30.0534i | 1.07471 | + | 1.07471i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −29.0694 | + | 13.5778i | −1.03819 | + | 0.484921i | ||||
\(785\) | 0.580407 | − | 0.580407i | 0.0207156 | − | 0.0207156i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −27.8371 | + | 27.8371i | −0.992286 | + | 0.992286i | −0.999970 | − | 0.00768427i | \(-0.997554\pi\) |
0.00768427 | + | 0.999970i | \(0.497554\pi\) | |||||||
\(788\) | −5.11674 | + | 19.0959i | −0.182276 | + | 0.680264i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.93281 | − | 5.07977i | −0.104345 | − | 0.180730i | ||||
\(791\) | −10.9115 | + | 34.6453i | −0.387969 | + | 1.23185i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.8604 | + | 10.4896i | −0.385664 | + | 0.372497i | ||||
\(794\) | −63.2516 | + | 36.5184i | −2.24472 | + | 1.29599i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 47.1451i | 1.67101i | ||||||||
\(797\) | 8.77705 | − | 15.2023i | 0.310899 | − | 0.538493i | −0.667658 | − | 0.744468i | \(-0.732703\pi\) |
0.978557 | + | 0.205975i | \(0.0660366\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.68786 | − | 6.29917i | −0.0597121 | − | 0.222849i | ||||
\(800\) | −0.830518 | + | 3.09953i | −0.0293632 | + | 0.109585i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −25.0259 | −0.883696 | ||||||||
\(803\) | 11.7502 | 0.414654 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 8.03024 | + | 15.4140i | 0.283029 | + | 0.543272i | ||||
\(806\) | 33.2768 | + | 34.4531i | 1.17213 | + | 1.21356i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 89.7265 | − | 24.0421i | 3.15657 | − | 0.845800i | ||||
\(809\) | 3.76160 | − | 6.51528i | 0.132251 | − | 0.229065i | −0.792293 | − | 0.610141i | \(-0.791113\pi\) |
0.924544 | + | 0.381076i | \(0.124446\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 39.4597 | + | 39.4597i | 1.38562 | + | 1.38562i | 0.834289 | + | 0.551327i | \(0.185878\pi\) |
0.551327 | + | 0.834289i | \(0.314122\pi\) | |||||||
\(812\) | −59.9197 | + | 54.9413i | −2.10277 | + | 1.92806i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 7.64232 | − | 2.04775i | 0.267863 | − | 0.0717737i | ||||
\(815\) | − | 39.5294i | − | 1.38466i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 17.2048 | − | 17.2048i | 0.601921 | − | 0.601921i | ||||
\(818\) | −7.20013 | −0.251747 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 108.903 | 3.80307 | ||||||||
\(821\) | −10.3423 | + | 10.3423i | −0.360948 | + | 0.360948i | −0.864162 | − | 0.503214i | \(-0.832151\pi\) |
0.503214 | + | 0.864162i | \(0.332151\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 6.19008i | 0.215773i | 0.994163 | + | 0.107886i | \(0.0344082\pi\) | ||||
−0.994163 | + | 0.107886i | \(0.965592\pi\) | |||||||
\(824\) | −30.6098 | + | 8.20186i | −1.06634 | + | 0.285725i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7.62142 | − | 34.3264i | −0.265183 | − | 1.19437i | ||||
\(827\) | 17.1035 | + | 17.1035i | 0.594748 | + | 0.594748i | 0.938910 | − | 0.344162i | \(-0.111837\pi\) |
−0.344162 | + | 0.938910i | \(0.611837\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 14.8485 | − | 25.7183i | 0.515710 | − | 0.893235i | −0.484124 | − | 0.874999i | \(-0.660862\pi\) |
0.999834 | − | 0.0182358i | \(-0.00580496\pi\) | |||||||
\(830\) | −20.9468 | + | 5.61269i | −0.727075 | + | 0.194819i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.91367 | − | 23.7095i | −0.205019 | − | 0.821978i | ||||
\(833\) | −47.9264 | + | 22.3855i | −1.66055 | + | 0.775612i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 25.2514 | 0.873862 | ||||||||
\(836\) | −39.6779 | −1.37229 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −6.62709 | + | 24.7326i | −0.228929 | + | 0.854375i | ||||
\(839\) | 10.2057 | + | 38.0883i | 0.352341 | + | 1.31496i | 0.883797 | + | 0.467870i | \(0.154978\pi\) |
−0.531456 | + | 0.847086i | \(0.678355\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.6412 | + | 23.6273i | −0.470388 | + | 0.814735i | ||||
\(842\) | − | 93.3548i | − | 3.21722i | ||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −13.9580 | + | 8.05868i | −0.480456 | + | 0.277391i | ||||
\(845\) | 27.4121 | − | 25.5712i | 0.943003 | − | 0.879677i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 17.6223 | − | 16.1581i | 0.605508 | − | 0.555200i | ||||
\(848\) | −4.06247 | − | 7.03641i | −0.139506 | − | 0.241631i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −16.0095 | + | 59.7484i | −0.549123 | + | 2.04935i | ||||
\(851\) | 3.68403 | − | 3.68403i | 0.126287 | − | 0.126287i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −14.6711 | + | 14.6711i | −0.502329 | + | 0.502329i | −0.912161 | − | 0.409832i | \(-0.865587\pi\) |
0.409832 | + | 0.912161i | \(0.365587\pi\) | |||||||
\(854\) | 1.18453 | − | 27.3294i | 0.0405338 | − | 0.935194i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −17.3203 | − | 17.3203i | −0.591994 | − | 0.591994i | ||||
\(857\) | −4.44642 | − | 7.70143i | −0.151887 | − | 0.263076i | 0.780034 | − | 0.625737i | \(-0.215202\pi\) |
−0.931921 | + | 0.362661i | \(0.881868\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −17.8913 | − | 10.3296i | −0.610445 | − | 0.352440i | 0.162695 | − | 0.986676i | \(-0.447981\pi\) |
−0.773139 | + | 0.634236i | \(0.781315\pi\) | |||||||
\(860\) | 10.7575 | − | 40.1477i | 0.366829 | − | 1.36902i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 52.3059 | + | 30.1988i | 1.78154 | + | 1.02858i | ||||
\(863\) | −3.13567 | − | 11.7025i | −0.106740 | − | 0.398358i | 0.891797 | − | 0.452435i | \(-0.149445\pi\) |
−0.998537 | + | 0.0540779i | \(0.982778\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 22.1085 | + | 22.1085i | 0.751711 | + | 0.751711i | ||||
\(866\) | −11.1961 | − | 41.7846i | −0.380461 | − | 1.41990i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −58.2529 | − | 2.52484i | −1.97723 | − | 0.0856986i | ||||
\(869\) | 0.298781 | − | 1.11507i | 0.0101354 | − | 0.0378260i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −9.73775 | − | 17.5637i | −0.329951 | − | 0.595123i | ||||
\(872\) | −45.6033 | − | 78.9872i | −1.54432 | − | 2.67484i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −33.6768 | + | 19.4433i | −1.13913 | + | 0.657679i | ||||
\(875\) | 6.90205 | − | 10.8416i | 0.233332 | − | 0.366515i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −3.72011 | − | 0.996801i | −0.125619 | − | 0.0336596i | 0.195462 | − | 0.980711i | \(-0.437379\pi\) |
−0.321081 | + | 0.947052i | \(0.604046\pi\) | |||||||
\(878\) | 34.7293 | − | 34.7293i | 1.17206 | − | 1.17206i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −16.0384 | + | 9.25980i | −0.540656 | + | 0.312148i | ||||
\(881\) | 11.7705 | + | 20.3872i | 0.396559 | + | 0.686861i | 0.993299 | − | 0.115574i | \(-0.0368707\pi\) |
−0.596739 | + | 0.802435i | \(0.703537\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 27.7063i | 0.932390i | 0.884682 | + | 0.466195i | \(0.154375\pi\) | ||||
−0.884682 | + | 0.466195i | \(0.845625\pi\) | |||||||
\(884\) | 27.0060 | + | 108.274i | 0.908310 | + | 3.64166i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 9.82698 | + | 36.6748i | 0.330144 | + | 1.23211i | ||||
\(887\) | − | 27.6847i | − | 0.929561i | −0.885426 | − | 0.464780i | \(-0.846133\pi\) | ||
0.885426 | − | 0.464780i | \(-0.153867\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 21.0825 | − | 19.3309i | 0.707086 | − | 0.648338i | ||||
\(890\) | 4.74237 | + | 17.6988i | 0.158965 | + | 0.593264i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −36.5011 | − | 9.78045i | −1.22215 | − | 0.327474i | ||||
\(893\) | 5.96666 | 0.199667 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 22.7650 | + | 6.09987i | 0.760950 | + | 0.203896i | ||||
\(896\) | 41.6654 | + | 26.5252i | 1.39194 | + | 0.886143i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 4.33100 | − | 7.50151i | 0.144527 | − | 0.250329i | ||||
\(899\) | −38.9922 | + | 10.4479i | −1.30046 | + | 0.348458i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.69775 | − | 11.6008i | −0.223134 | − | 0.386480i | ||||
\(902\) | 22.5561 | + | 22.5561i | 0.751036 | + | 0.751036i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −68.6152 | + | 18.3854i | −2.28211 | + | 0.611489i | ||||
\(905\) | 11.4311 | − | 3.06295i | 0.379982 | − | 0.101816i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.5924 | + | 6.11555i | 0.351716 | + | 0.203063i | 0.665441 | − | 0.746451i | \(-0.268244\pi\) |
−0.313725 | + | 0.949514i | \(0.601577\pi\) | |||||||
\(908\) | −17.0270 | + | 17.0270i | −0.565061 | + | 0.565061i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −4.11867 | + | 67.7915i | −0.136532 | + | 2.24727i | ||||
\(911\) | −1.08514 | −0.0359525 | −0.0179762 | − | 0.999838i | \(-0.505722\pi\) | ||||
−0.0179762 | + | 0.999838i | \(0.505722\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.69614 | − | 2.13397i | −0.122324 | − | 0.0706240i | ||||
\(914\) | 75.3006i | 2.49072i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 8.63251 | − | 2.31307i | 0.285226 | − | 0.0764261i | ||||
\(917\) | 45.9036 | + | 14.4573i | 1.51587 | + | 0.477423i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 22.3533 | + | 38.7171i | 0.737368 | + | 1.27716i | 0.953677 | + | 0.300833i | \(0.0972648\pi\) |
−0.216309 | + | 0.976325i | \(0.569402\pi\) | |||||||
\(920\) | −16.9951 | + | 29.4363i | −0.560311 | + | 0.970487i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 25.1716 | − | 43.5985i | 0.828983 | − | 1.43584i | ||||
\(923\) | 11.8429 | + | 21.3607i | 0.389815 | + | 0.703098i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.32413 | + | 1.96250i | 0.240816 | + | 0.0645265i | ||||
\(926\) | 26.9682 | 0.886231 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −7.01362 | − | 1.87929i | −0.230233 | − | 0.0616908i | ||||
\(929\) | −4.75371 | + | 17.7411i | −0.155964 | + | 0.582066i | 0.843057 | + | 0.537825i | \(0.180754\pi\) |
−0.999021 | + | 0.0442414i | \(0.985913\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −8.43434 | − | 47.6565i | −0.276424 | − | 1.56188i | ||||
\(932\) | 25.0398 | − | 43.3703i | 0.820207 | − | 1.42064i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 21.8154 | + | 81.4160i | 0.713820 | + | 2.66401i | ||||
\(935\) | −26.4424 | + | 15.2665i | −0.864758 | + | 0.499268i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 36.6713i | 1.19800i | 0.800749 | + | 0.598999i | \(0.204435\pi\) | ||||
−0.800749 | + | 0.598999i | \(0.795565\pi\) | |||||||
\(938\) | 34.7033 | + | 10.9298i | 1.13310 | + | 0.356870i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 8.82700 | − | 5.09627i | 0.287905 | − | 0.166222i | ||||
\(941\) | 0.562780 | − | 2.10032i | 0.0183461 | − | 0.0684686i | −0.956146 | − | 0.292891i | \(-0.905383\pi\) |
0.974492 | + | 0.224422i | \(0.0720495\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 20.2899 | + | 5.43665i | 0.660729 | + | 0.177042i | ||||
\(944\) | 17.4459 | − | 17.4459i | 0.567815 | − | 0.567815i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 10.5435 | − | 6.08730i | 0.342799 | − | 0.197915i | ||||
\(947\) | −23.6813 | − | 23.6813i | −0.769539 | − | 0.769539i | 0.208487 | − | 0.978025i | \(-0.433146\pi\) |
−0.978025 | + | 0.208487i | \(0.933146\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 30.2310 | + | 0.525004i | 0.981339 | + | 0.0170424i | ||||
\(950\) | −49.0123 | − | 28.2973i | −1.59017 | − | 0.918084i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −87.2649 | − | 55.5549i | −2.82827 | − | 1.80054i | ||||
\(953\) | 23.8594 | + | 13.7752i | 0.772881 | + | 0.446223i | 0.833901 | − | 0.551914i | \(-0.186102\pi\) |
−0.0610206 | + | 0.998137i | \(0.519436\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −9.01011 | − | 9.01011i | −0.291560 | − | 0.291560i | ||||
\(956\) | 32.6682 | + | 32.6682i | 1.05657 | + | 1.05657i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −37.1427 | − | 21.4444i | −1.20003 | − | 0.692836i | ||||
\(959\) | −21.7368 | − | 13.8382i | −0.701919 | − | 0.446858i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1.77273 | + | 1.02349i | 0.0571850 | + | 0.0330158i | ||||
\(962\) | 19.7538 | − | 4.92703i | 0.636887 | − | 0.158854i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 37.2303 | + | 37.2303i | 1.19911 | + | 1.19911i | ||||
\(965\) | 28.1788 | − | 16.2690i | 0.907107 | − | 0.523718i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −15.7669 | + | 15.7669i | −0.507030 | + | 0.507030i | −0.913613 | − | 0.406584i | \(-0.866720\pi\) |
0.406584 | + | 0.913613i | \(0.366720\pi\) | |||||||
\(968\) | 45.1643 | + | 12.1018i | 1.45164 | + | 0.388965i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 16.7750 | − | 62.6051i | 0.538612 | − | 2.01013i | ||||
\(971\) | 14.2324 | − | 8.21711i | 0.456741 | − | 0.263700i | −0.253932 | − | 0.967222i | \(-0.581724\pi\) |
0.710673 | + | 0.703523i | \(0.248391\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 39.6742 | + | 12.4954i | 1.27190 | + | 0.400583i | ||||
\(974\) | − | 31.4848i | − | 1.00884i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 16.6226 | − | 9.59706i | 0.532076 | − | 0.307194i | ||||
\(977\) | −9.72713 | − | 36.3022i | −0.311199 | − | 1.16141i | −0.927477 | − | 0.373880i | \(-0.878027\pi\) |
0.616278 | − | 0.787528i | \(-0.288640\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.80307 | + | 3.12301i | −0.0576263 | + | 0.0998117i | ||||
\(980\) | −53.1822 | − | 63.2984i | −1.69884 | − | 2.02199i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 11.8186 | − | 44.1078i | 0.377148 | − | 1.40754i | ||||
\(983\) | 40.2595 | + | 10.7875i | 1.28408 | + | 0.344068i | 0.835409 | − | 0.549629i | \(-0.185231\pi\) |
0.448671 | + | 0.893697i | \(0.351898\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −13.9191 | −0.443498 | ||||||||
\(986\) | −135.199 | − | 36.2264i | −4.30560 | − | 1.15368i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −102.084 | − | 1.77283i | −3.24772 | − | 0.0564013i | ||||
\(989\) | 4.00849 | − | 6.94292i | 0.127463 | − | 0.220772i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.91295 | + | 13.7056i | −0.251363 | + | 0.435374i | −0.963901 | − | 0.266260i | \(-0.914212\pi\) |
0.712538 | + | 0.701633i | \(0.247545\pi\) | |||||||
\(992\) | −2.60393 | − | 4.51013i | −0.0826747 | − | 0.143197i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −42.2057 | − | 13.2927i | −1.33868 | − | 0.421618i | ||||
\(995\) | −32.0622 | + | 8.59104i | −1.01644 | + | 0.272354i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 11.0129i | 0.348782i | 0.984676 | + | 0.174391i | \(0.0557957\pi\) | ||||
−0.984676 | + | 0.174391i | \(0.944204\pi\) | |||||||
\(998\) | 79.7639 | + | 46.0517i | 2.52488 | + | 1.45774i | ||||
\(999\) | 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 | 819.2.et.c.145.9 | 36 | ||
3.2 | odd | 2 | 273.2.bt.a.145.1 | ✓ | 36 | ||
7.3 | odd | 6 | 819.2.gh.c.262.9 | 36 | |||
13.7 | odd | 12 | 819.2.gh.c.397.9 | 36 | |||
21.17 | even | 6 | 273.2.cg.a.262.1 | yes | 36 | ||
39.20 | even | 12 | 273.2.cg.a.124.1 | yes | 36 | ||
91.59 | even | 12 | inner | 819.2.et.c.514.9 | 36 | ||
273.59 | odd | 12 | 273.2.bt.a.241.1 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.145.1 | ✓ | 36 | 3.2 | odd | 2 | ||
273.2.bt.a.241.1 | yes | 36 | 273.59 | odd | 12 | ||
273.2.cg.a.124.1 | yes | 36 | 39.20 | even | 12 | ||
273.2.cg.a.262.1 | yes | 36 | 21.17 | even | 6 | ||
819.2.et.c.145.9 | 36 | 1.1 | even | 1 | trivial | ||
819.2.et.c.514.9 | 36 | 91.59 | even | 12 | inner | ||
819.2.gh.c.262.9 | 36 | 7.3 | odd | 6 | |||
819.2.gh.c.397.9 | 36 | 13.7 | odd | 12 |