Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(64,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("693.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.m (of order \(5\), 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: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 631.1 | ||
Character | \(\chi\) | \(=\) | 693.631 |
Dual form | 693.2.m.k.190.1 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.16885 | − | 1.57576i | −1.53361 | − | 1.11423i | −0.954191 | − | 0.299197i | \(-0.903281\pi\) |
−0.579415 | − | 0.815033i | \(-0.696719\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.60284 | + | 4.93305i | 0.801422 | + | 2.46652i | ||||
\(5\) | 0.946867 | − | 0.687939i | 0.423452 | − | 0.307656i | −0.355573 | − | 0.934648i | \(-0.615714\pi\) |
0.779025 | + | 0.626993i | \(0.215714\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.309017 | + | 0.951057i | 0.116797 | + | 0.359466i | ||||
\(8\) | 2.64012 | − | 8.12545i | 0.933423 | − | 2.87278i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.13763 | −0.992207 | ||||||||
\(11\) | 3.31646 | − | 0.0332550i | 0.999950 | − | 0.0100268i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.36132 | + | 0.989057i | 0.377562 | + | 0.274315i | 0.760340 | − | 0.649525i | \(-0.225032\pi\) |
−0.382777 | + | 0.923841i | \(0.625032\pi\) | |||||||
\(14\) | 0.828426 | − | 2.54963i | 0.221406 | − | 0.681418i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −10.1372 | + | 7.36509i | −2.53429 | + | 1.84127i | ||||
\(17\) | −4.52787 | + | 3.28969i | −1.09817 | + | 0.797867i | −0.980760 | − | 0.195217i | \(-0.937459\pi\) |
−0.117409 | + | 0.993084i | \(0.537459\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.34551 | − | 4.14105i | 0.308681 | − | 0.950022i | −0.669597 | − | 0.742725i | \(-0.733533\pi\) |
0.978278 | − | 0.207298i | \(-0.0664669\pi\) | |||||||
\(20\) | 4.91131 | + | 3.56828i | 1.09820 | + | 0.797891i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −7.24529 | − | 5.15381i | −1.54470 | − | 1.09880i | ||||
\(23\) | 0.119612 | 0.0249408 | 0.0124704 | − | 0.999922i | \(-0.496030\pi\) | ||||
0.0124704 | + | 0.999922i | \(0.496030\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.12179 | + | 3.45251i | −0.224358 | + | 0.690502i | ||||
\(26\) | −1.39398 | − | 4.29023i | −0.273382 | − | 0.841383i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.19630 | + | 3.04879i | −0.793026 | + | 0.576167i | ||||
\(29\) | 1.35844 | + | 4.18083i | 0.252255 | + | 0.776361i | 0.994358 | + | 0.106075i | \(0.0338285\pi\) |
−0.742103 | + | 0.670286i | \(0.766171\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.10728 | + | 3.71065i | 0.917294 | + | 0.666453i | 0.942849 | − | 0.333220i | \(-0.108135\pi\) |
−0.0255548 | + | 0.999673i | \(0.508135\pi\) | |||||||
\(32\) | 16.5044 | 2.91759 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 15.0040 | 2.57317 | ||||||||
\(35\) | 0.946867 | + | 0.687939i | 0.160050 | + | 0.116283i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.80904 | + | 5.56765i | 0.297404 | + | 0.915317i | 0.982403 | + | 0.186772i | \(0.0598027\pi\) |
−0.684999 | + | 0.728544i | \(0.740197\pi\) | |||||||
\(38\) | −9.44350 | + | 6.86111i | −1.53194 | + | 1.11302i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.08997 | − | 9.50996i | −0.488568 | − | 1.50366i | ||||
\(41\) | 3.40428 | − | 10.4773i | 0.531660 | − | 1.63628i | −0.219097 | − | 0.975703i | \(-0.570311\pi\) |
0.750757 | − | 0.660578i | \(-0.229689\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.97227 | 0.910762 | 0.455381 | − | 0.890297i | \(-0.349503\pi\) | ||||
0.455381 | + | 0.890297i | \(0.349503\pi\) | |||||||
\(44\) | 5.47981 | + | 16.3069i | 0.826113 | + | 2.45836i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.259420 | − | 0.188480i | −0.0382494 | − | 0.0277898i | ||||
\(47\) | −3.88781 | + | 11.9654i | −0.567095 | + | 1.74534i | 0.0945469 | + | 0.995520i | \(0.469860\pi\) |
−0.661642 | + | 0.749820i | \(0.730140\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.809017 | + | 0.587785i | −0.115574 | + | 0.0839693i | ||||
\(50\) | 7.87331 | − | 5.72029i | 1.11345 | − | 0.808972i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.69708 | + | 8.30076i | −0.374018 | + | 1.15111i | ||||
\(53\) | 0.337364 | + | 0.245109i | 0.0463405 | + | 0.0336683i | 0.610714 | − | 0.791851i | \(-0.290882\pi\) |
−0.564374 | + | 0.825519i | \(0.690882\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.11737 | − | 2.31301i | 0.420346 | − | 0.311886i | ||||
\(56\) | 8.54361 | 1.14169 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.64175 | − | 11.2082i | 0.478185 | − | 1.47170i | ||||
\(59\) | 0.223587 | + | 0.688131i | 0.0291086 | + | 0.0895870i | 0.964555 | − | 0.263881i | \(-0.0850025\pi\) |
−0.935447 | + | 0.353468i | \(0.885002\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.16627 | − | 5.20660i | 0.917546 | − | 0.666637i | −0.0253656 | − | 0.999678i | \(-0.508075\pi\) |
0.942912 | + | 0.333042i | \(0.108075\pi\) | |||||||
\(62\) | −5.22980 | − | 16.0957i | −0.664186 | − | 2.04415i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −15.5211 | − | 11.2767i | −1.94014 | − | 1.40959i | ||||
\(65\) | 1.96940 | 0.244274 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.78741 | 1.07355 | 0.536777 | − | 0.843724i | \(-0.319642\pi\) | ||||
0.536777 | + | 0.843724i | \(0.319642\pi\) | |||||||
\(68\) | −23.4857 | − | 17.0633i | −2.84805 | − | 2.06923i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.969582 | − | 2.98407i | −0.115887 | − | 0.356664i | ||||
\(71\) | 2.59926 | − | 1.88847i | 0.308475 | − | 0.224120i | −0.422767 | − | 0.906239i | \(-0.638941\pi\) |
0.731242 | + | 0.682118i | \(0.238941\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.50828 | − | 13.8750i | −0.527654 | − | 1.62395i | −0.759008 | − | 0.651082i | \(-0.774315\pi\) |
0.231354 | − | 0.972870i | \(-0.425685\pi\) | |||||||
\(74\) | 4.84975 | − | 14.9260i | 0.563772 | − | 1.73511i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 22.5846 | 2.59064 | ||||||||
\(77\) | 1.05647 | + | 3.14386i | 0.120396 | + | 0.358276i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −11.7115 | − | 8.50887i | −1.31764 | − | 0.957322i | −0.999958 | − | 0.00912524i | \(-0.997095\pi\) |
−0.317683 | − | 0.948197i | \(-0.602905\pi\) | |||||||
\(80\) | −4.53182 | + | 13.9475i | −0.506673 | + | 1.55938i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −23.8931 | + | 17.3593i | −2.63855 | + | 1.91702i | ||||
\(83\) | −2.79864 | + | 2.03333i | −0.307191 | + | 0.223187i | −0.730690 | − | 0.682709i | \(-0.760802\pi\) |
0.423499 | + | 0.905896i | \(0.360802\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.02418 | + | 6.22979i | −0.219553 | + | 0.675716i | ||||
\(86\) | −12.9529 | − | 9.41086i | −1.39675 | − | 1.01480i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 8.48564 | − | 27.0355i | 0.904572 | − | 2.88200i | ||||
\(89\) | 12.0621 | 1.27858 | 0.639292 | − | 0.768964i | \(-0.279228\pi\) | ||||
0.639292 | + | 0.768964i | \(0.279228\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.519978 | + | 1.60033i | −0.0545085 | + | 0.167760i | ||||
\(92\) | 0.191720 | + | 0.590052i | 0.0199881 | + | 0.0615172i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 27.2867 | − | 19.8250i | 2.81441 | − | 2.04479i | ||||
\(95\) | −1.57477 | − | 4.84665i | −0.161568 | − | 0.497256i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.85066 | + | 3.52421i | 0.492510 | + | 0.357830i | 0.806149 | − | 0.591713i | \(-0.201548\pi\) |
−0.313639 | + | 0.949542i | \(0.601548\pi\) | |||||||
\(98\) | 2.68084 | 0.270806 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −18.8294 | −1.88294 | ||||||||
\(101\) | 0.0822061 | + | 0.0597262i | 0.00817981 | + | 0.00594298i | 0.591868 | − | 0.806035i | \(-0.298391\pi\) |
−0.583688 | + | 0.811978i | \(0.698391\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.537659 | − | 1.65474i | −0.0529771 | − | 0.163047i | 0.921067 | − | 0.389403i | \(-0.127319\pi\) |
−0.974045 | + | 0.226356i | \(0.927319\pi\) | |||||||
\(104\) | 11.6306 | − | 8.45012i | 1.14047 | − | 0.828602i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.345457 | − | 1.06321i | −0.0335538 | − | 0.103268i | ||||
\(107\) | −3.40019 | + | 10.4647i | −0.328708 | + | 1.01166i | 0.641030 | + | 0.767516i | \(0.278507\pi\) |
−0.969739 | + | 0.244145i | \(0.921493\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 16.5040 | 1.58080 | 0.790400 | − | 0.612592i | \(-0.209873\pi\) | ||||
0.790400 | + | 0.612592i | \(0.209873\pi\) | |||||||
\(110\) | −10.4058 | + | 0.104342i | −0.992157 | + | 0.00994863i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.1372 | − | 7.36509i | −0.957873 | − | 0.695935i | ||||
\(113\) | 1.94096 | − | 5.97366i | 0.182590 | − | 0.561955i | −0.817308 | − | 0.576201i | \(-0.804535\pi\) |
0.999899 | + | 0.0142456i | \(0.00453467\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.113257 | − | 0.0822858i | 0.0105612 | − | 0.00767319i | ||||
\(116\) | −18.4469 | + | 13.4024i | −1.71275 | + | 1.24439i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.599402 | − | 1.84477i | 0.0551795 | − | 0.169825i | ||||
\(119\) | −4.52787 | − | 3.28969i | −0.415069 | − | 0.301565i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.9978 | − | 0.220578i | 0.999799 | − | 0.0200525i | ||||
\(122\) | −23.7469 | −2.14994 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −10.1187 | + | 31.1420i | −0.908683 | + | 2.79664i | ||||
\(125\) | 3.12129 | + | 9.60633i | 0.279176 | + | 0.859216i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.9458 | + | 10.1322i | −1.23749 | + | 0.899087i | −0.997428 | − | 0.0716717i | \(-0.977167\pi\) |
−0.240058 | + | 0.970758i | \(0.577167\pi\) | |||||||
\(128\) | 5.69318 | + | 17.5218i | 0.503211 | + | 1.54872i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.27133 | − | 3.10330i | −0.374620 | − | 0.272177i | ||||
\(131\) | 0.324063 | 0.0283135 | 0.0141567 | − | 0.999900i | \(-0.495494\pi\) | ||||
0.0141567 | + | 0.999900i | \(0.495494\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.35416 | 0.377553 | ||||||||
\(134\) | −19.0586 | − | 13.8468i | −1.64641 | − | 1.19619i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 14.7761 | + | 45.4762i | 1.26704 | + | 3.89955i | ||||
\(137\) | 8.39158 | − | 6.09684i | 0.716941 | − | 0.520888i | −0.168464 | − | 0.985708i | \(-0.553881\pi\) |
0.885406 | + | 0.464819i | \(0.153881\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.13390 | + | 12.7228i | 0.350633 | + | 1.07914i | 0.958499 | + | 0.285097i | \(0.0920260\pi\) |
−0.607866 | + | 0.794040i | \(0.707974\pi\) | |||||||
\(140\) | −1.87596 | + | 5.77360i | −0.158547 | + | 0.487958i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −8.61317 | −0.722801 | ||||||||
\(143\) | 4.54765 | + | 3.23490i | 0.380294 | + | 0.270516i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.16242 | + | 3.02417i | 0.345670 | + | 0.251144i | ||||
\(146\) | −12.0860 | + | 37.1968i | −1.00024 | + | 3.07843i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −24.5659 | + | 17.8482i | −2.01930 | + | 1.46711i | ||||
\(149\) | 7.82310 | − | 5.68381i | 0.640893 | − | 0.465636i | −0.219264 | − | 0.975666i | \(-0.570365\pi\) |
0.860157 | + | 0.510029i | \(0.170365\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.791336 | − | 2.43548i | 0.0643980 | − | 0.198197i | −0.913680 | − | 0.406433i | \(-0.866772\pi\) |
0.978078 | + | 0.208237i | \(0.0667724\pi\) | |||||||
\(152\) | −30.0956 | − | 21.8657i | −2.44108 | − | 1.77355i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.66265 | − | 8.48330i | 0.214563 | − | 0.683604i | ||||
\(155\) | 7.38862 | 0.593468 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.71965 | − | 17.6033i | 0.456478 | − | 1.40489i | −0.412914 | − | 0.910770i | \(-0.635489\pi\) |
0.869391 | − | 0.494124i | \(-0.164511\pi\) | |||||||
\(158\) | 11.9924 | + | 36.9089i | 0.954065 | + | 2.93631i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 15.6274 | − | 11.3540i | 1.23546 | − | 0.897612i | ||||
\(161\) | 0.0369622 | + | 0.113758i | 0.00291303 | + | 0.00896538i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.24100 | − | 3.80781i | −0.410507 | − | 0.298251i | 0.363300 | − | 0.931672i | \(-0.381650\pi\) |
−0.773807 | + | 0.633421i | \(0.781650\pi\) | |||||||
\(164\) | 57.1416 | 4.46201 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.27386 | 0.719791 | ||||||||
\(167\) | 20.4331 | + | 14.8455i | 1.58116 | + | 1.14878i | 0.915348 | + | 0.402664i | \(0.131916\pi\) |
0.665814 | + | 0.746118i | \(0.268084\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.14226 | − | 9.67089i | −0.241712 | − | 0.743914i | ||||
\(170\) | 14.2068 | − | 10.3218i | 1.08961 | − | 0.791649i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 9.57262 | + | 29.4615i | 0.729905 | + | 2.24642i | ||||
\(173\) | −2.86398 | + | 8.81443i | −0.217745 | + | 0.670149i | 0.781203 | + | 0.624277i | \(0.214606\pi\) |
−0.998947 | + | 0.0458716i | \(0.985394\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.63018 | −0.274416 | ||||||||
\(176\) | −33.3746 | + | 24.7631i | −2.51570 | + | 1.86659i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −26.1609 | − | 19.0070i | −1.96084 | − | 1.42464i | ||||
\(179\) | −4.77239 | + | 14.6879i | −0.356705 | + | 1.09783i | 0.598309 | + | 0.801265i | \(0.295840\pi\) |
−0.955014 | + | 0.296560i | \(0.904160\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.52043 | + | 6.19045i | −0.633318 | + | 0.460133i | −0.857548 | − | 0.514404i | \(-0.828013\pi\) |
0.224230 | + | 0.974536i | \(0.428013\pi\) | |||||||
\(182\) | 3.64948 | − | 2.65151i | 0.270518 | − | 0.196543i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.315790 | − | 0.971903i | 0.0232804 | − | 0.0716496i | ||||
\(185\) | 5.54313 | + | 4.02732i | 0.407539 | + | 0.296094i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −14.9071 | + | 11.0607i | −1.09011 | + | 0.808838i | ||||
\(188\) | −65.2577 | −4.75940 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.22172 | + | 12.9931i | −0.306276 | + | 0.942619i | ||||
\(191\) | −2.12090 | − | 6.52745i | −0.153463 | − | 0.472309i | 0.844539 | − | 0.535494i | \(-0.179874\pi\) |
−0.998002 | + | 0.0631843i | \(0.979874\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −18.0651 | + | 13.1251i | −1.30035 | + | 0.944763i | −0.999959 | − | 0.00905222i | \(-0.997119\pi\) |
−0.300395 | + | 0.953815i | \(0.597119\pi\) | |||||||
\(194\) | −4.96703 | − | 15.2870i | −0.356612 | − | 1.09754i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.19630 | − | 3.04879i | −0.299736 | − | 0.217771i | ||||
\(197\) | 4.45203 | 0.317194 | 0.158597 | − | 0.987343i | \(-0.449303\pi\) | ||||
0.158597 | + | 0.987343i | \(0.449303\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −15.0993 | −1.07036 | −0.535180 | − | 0.844738i | \(-0.679756\pi\) | ||||
−0.535180 | + | 0.844738i | \(0.679756\pi\) | |||||||
\(200\) | 25.0916 | + | 18.2301i | 1.77424 | + | 1.28906i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.0841782 | − | 0.259074i | −0.00592276 | − | 0.0182284i | ||||
\(203\) | −3.55643 | + | 2.58390i | −0.249612 | + | 0.181354i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.98435 | − | 12.2626i | −0.278279 | − | 0.856454i | ||||
\(206\) | −1.44138 | + | 4.43611i | −0.100426 | + | 0.309078i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −21.0844 | −1.46194 | ||||||||
\(209\) | 4.32461 | − | 13.7784i | 0.299140 | − | 0.953070i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 18.4849 | + | 13.4300i | 1.27255 | + | 0.924563i | 0.999301 | − | 0.0373803i | \(-0.0119013\pi\) |
0.273250 | + | 0.961943i | \(0.411901\pi\) | |||||||
\(212\) | −0.668393 | + | 2.05710i | −0.0459054 | + | 0.141282i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 23.8643 | − | 17.3385i | 1.63133 | − | 1.18523i | ||||
\(215\) | 5.65494 | − | 4.10856i | 0.385664 | − | 0.280201i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.95081 | + | 6.00397i | −0.132429 | + | 0.407576i | ||||
\(218\) | −35.7947 | − | 26.0064i | −2.42432 | − | 1.76137i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 16.4068 | + | 11.6707i | 1.10615 | + | 0.786840i | ||||
\(221\) | −9.41757 | −0.633494 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.00076 | − | 9.23540i | 0.200946 | − | 0.618448i | −0.798910 | − | 0.601451i | \(-0.794589\pi\) |
0.999856 | − | 0.0169970i | \(-0.00541058\pi\) | |||||||
\(224\) | 5.10013 | + | 15.6966i | 0.340767 | + | 1.04877i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.6227 | + | 9.89747i | −0.906169 | + | 0.658370i | ||||
\(227\) | −5.75308 | − | 17.7062i | −0.381845 | − | 1.17520i | −0.938743 | − | 0.344618i | \(-0.888009\pi\) |
0.556898 | − | 0.830581i | \(-0.311991\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.31573 | − | 5.31519i | −0.483437 | − | 0.351237i | 0.319218 | − | 0.947681i | \(-0.396580\pi\) |
−0.802655 | + | 0.596444i | \(0.796580\pi\) | |||||||
\(230\) | −0.375299 | −0.0247465 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 37.5576 | 2.46578 | ||||||||
\(233\) | −6.97631 | − | 5.06859i | −0.457033 | − | 0.332054i | 0.335333 | − | 0.942100i | \(-0.391151\pi\) |
−0.792366 | + | 0.610045i | \(0.791151\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.55026 | + | 14.0043i | 0.296826 | + | 0.913537i | ||||
\(236\) | −3.03621 | + | 2.20593i | −0.197640 | + | 0.143594i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.63649 | + | 14.2697i | 0.300539 | + | 0.924965i | ||||
\(239\) | −6.39265 | + | 19.6745i | −0.413506 | + | 1.27264i | 0.500075 | + | 0.865982i | \(0.333306\pi\) |
−0.913581 | + | 0.406658i | \(0.866694\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −24.8415 | −1.60018 | −0.800090 | − | 0.599880i | \(-0.795215\pi\) | ||||
−0.800090 | + | 0.599880i | \(0.795215\pi\) | |||||||
\(242\) | −24.2001 | − | 16.8515i | −1.55564 | − | 1.08325i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 37.1708 | + | 27.0062i | 2.37962 | + | 1.72889i | ||||
\(245\) | −0.361671 | + | 1.11311i | −0.0231063 | + | 0.0711139i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.92741 | − | 4.30651i | 0.377152 | − | 0.274017i | ||||
\(248\) | 43.6346 | − | 31.7024i | 2.77080 | − | 2.01310i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.36767 | − | 25.7531i | 0.529218 | − | 1.62877i | ||||
\(251\) | −8.50085 | − | 6.17623i | −0.536569 | − | 0.389840i | 0.286240 | − | 0.958158i | \(-0.407595\pi\) |
−0.822809 | + | 0.568318i | \(0.807595\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.396689 | − | 0.00397770i | 0.0249396 | − | 0.000250076i | ||||
\(254\) | 46.2121 | 2.89961 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.40547 | − | 10.4810i | 0.212842 | − | 0.655060i | ||||
\(257\) | −1.13747 | − | 3.50077i | −0.0709534 | − | 0.218372i | 0.909291 | − | 0.416160i | \(-0.136624\pi\) |
−0.980245 | + | 0.197788i | \(0.936624\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.73613 | + | 3.44100i | −0.294289 | + | 0.213813i | ||||
\(260\) | 3.15664 | + | 9.71514i | 0.195767 | + | 0.602508i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.702842 | − | 0.510645i | −0.0434217 | − | 0.0315477i | ||||
\(263\) | −10.1816 | −0.627824 | −0.313912 | − | 0.949452i | \(-0.601640\pi\) | ||||
−0.313912 | + | 0.949452i | \(0.601640\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.488059 | 0.0299812 | ||||||||
\(266\) | −9.44350 | − | 6.86111i | −0.579018 | − | 0.420681i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 14.0849 | + | 43.3487i | 0.860369 | + | 2.64794i | ||||
\(269\) | 25.9044 | − | 18.8207i | 1.57942 | − | 1.14752i | 0.662065 | − | 0.749446i | \(-0.269680\pi\) |
0.917355 | − | 0.398070i | \(-0.130320\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.41141 | − | 19.7323i | −0.389466 | − | 1.19865i | −0.933189 | − | 0.359387i | \(-0.882986\pi\) |
0.543723 | − | 0.839265i | \(-0.317014\pi\) | |||||||
\(272\) | 21.6709 | − | 66.6963i | 1.31399 | − | 4.04406i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −27.8072 | −1.67990 | ||||||||
\(275\) | −3.60555 | + | 11.4874i | −0.217423 | + | 0.692717i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.2537 | − | 8.90281i | −0.736251 | − | 0.534918i | 0.155283 | − | 0.987870i | \(-0.450371\pi\) |
−0.891535 | + | 0.452952i | \(0.850371\pi\) | |||||||
\(278\) | 11.0823 | − | 34.1079i | 0.664674 | − | 2.04566i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 8.08966 | − | 5.87748i | 0.483450 | − | 0.351247i | ||||
\(281\) | −20.8126 | + | 15.1212i | −1.24157 | + | 0.902056i | −0.997702 | − | 0.0677516i | \(-0.978417\pi\) |
−0.243871 | + | 0.969808i | \(0.578417\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.56058 | − | 17.1137i | 0.330542 | − | 1.01730i | −0.638334 | − | 0.769759i | \(-0.720376\pi\) |
0.968876 | − | 0.247545i | \(-0.0796237\pi\) | |||||||
\(284\) | 13.4821 | + | 9.79534i | 0.800017 | + | 0.581247i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.76574 | − | 14.1820i | −0.281804 | − | 0.838599i | ||||
\(287\) | 11.0165 | 0.650283 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.42625 | − | 13.6226i | 0.260368 | − | 0.801329i | ||||
\(290\) | −4.26227 | − | 13.1179i | −0.250289 | − | 0.770311i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 61.2202 | − | 44.4791i | 3.58264 | − | 2.60294i | ||||
\(293\) | −9.56714 | − | 29.4446i | −0.558918 | − | 1.72017i | −0.685364 | − | 0.728201i | \(-0.740357\pi\) |
0.126446 | − | 0.991974i | \(-0.459643\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.685100 | + | 0.497754i | 0.0398880 | + | 0.0289804i | ||||
\(296\) | 50.0158 | 2.90711 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −25.9234 | −1.50170 | ||||||||
\(299\) | 0.162830 | + | 0.118303i | 0.00941672 | + | 0.00684165i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.84553 | + | 5.67996i | 0.106375 | + | 0.327388i | ||||
\(302\) | −5.55402 | + | 4.03523i | −0.319598 | + | 0.232201i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 16.8595 | + | 51.8883i | 0.966961 | + | 2.97600i | ||||
\(305\) | 3.20368 | − | 9.85991i | 0.183442 | − | 0.564577i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.0193 | −0.571830 | −0.285915 | − | 0.958255i | \(-0.592298\pi\) | ||||
−0.285915 | + | 0.958255i | \(0.592298\pi\) | |||||||
\(308\) | −13.8155 | + | 10.2507i | −0.787209 | + | 0.584090i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −16.0248 | − | 11.6427i | −0.910146 | − | 0.661260i | ||||
\(311\) | −5.04762 | + | 15.5350i | −0.286224 | + | 0.880907i | 0.699805 | + | 0.714334i | \(0.253270\pi\) |
−0.986029 | + | 0.166573i | \(0.946730\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.61677 | + | 2.62774i | −0.204432 | + | 0.148529i | −0.685291 | − | 0.728269i | \(-0.740325\pi\) |
0.480859 | + | 0.876798i | \(0.340325\pi\) | |||||||
\(314\) | −40.1436 | + | 29.1660i | −2.26543 | + | 1.64593i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 23.2030 | − | 71.4115i | 1.30527 | − | 4.01721i | ||||
\(317\) | −9.69060 | − | 7.04063i | −0.544278 | − | 0.395441i | 0.281393 | − | 0.959593i | \(-0.409203\pi\) |
−0.825671 | + | 0.564151i | \(0.809203\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.64423 | + | 13.8204i | 0.260027 | + | 0.773793i | ||||
\(320\) | −22.4541 | −1.25522 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.0990897 | − | 0.304967i | 0.00552206 | − | 0.0169951i | ||||
\(323\) | 7.53048 | + | 23.1764i | 0.419007 | + | 1.28957i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.94184 | + | 3.59046i | −0.274124 | + | 0.199163i | ||||
\(326\) | 5.36674 | + | 16.5171i | 0.297236 | + | 0.914798i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −76.1452 | − | 55.3227i | −4.20441 | − | 3.05469i | ||||
\(329\) | −12.5812 | −0.693625 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −18.0873 | −0.994168 | −0.497084 | − | 0.867702i | \(-0.665596\pi\) | ||||
−0.497084 | + | 0.867702i | \(0.665596\pi\) | |||||||
\(332\) | −14.5163 | − | 10.5467i | −0.796686 | − | 0.578826i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −20.9233 | − | 64.3953i | −1.14487 | − | 3.52356i | ||||
\(335\) | 8.32051 | − | 6.04520i | 0.454598 | − | 0.330285i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.89785 | + | 18.1517i | 0.321276 | + | 0.988787i | 0.973093 | + | 0.230411i | \(0.0740070\pi\) |
−0.651817 | + | 0.758376i | \(0.725993\pi\) | |||||||
\(338\) | −8.42391 | + | 25.9261i | −0.458200 | + | 1.41019i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −33.9763 | −1.84262 | ||||||||
\(341\) | 17.0615 | + | 12.1364i | 0.923931 | + | 0.657222i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.809017 | − | 0.587785i | −0.0436828 | − | 0.0317374i | ||||
\(344\) | 15.7675 | − | 48.5274i | 0.850127 | − | 2.61642i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 20.1010 | − | 14.6042i | 1.08063 | − | 0.785127i | ||||
\(347\) | 4.30208 | − | 3.12564i | 0.230948 | − | 0.167793i | −0.466293 | − | 0.884630i | \(-0.654411\pi\) |
0.697241 | + | 0.716837i | \(0.254411\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.37385 | + | 19.6167i | −0.341184 | + | 1.05006i | 0.622411 | + | 0.782691i | \(0.286153\pi\) |
−0.963595 | + | 0.267366i | \(0.913847\pi\) | |||||||
\(350\) | 7.87331 | + | 5.72029i | 0.420846 | + | 0.305763i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 54.7360 | − | 0.548853i | 2.91744 | − | 0.0292540i | ||||
\(353\) | 7.31745 | 0.389468 | 0.194734 | − | 0.980856i | \(-0.437616\pi\) | ||||
0.194734 | + | 0.980856i | \(0.437616\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.16200 | − | 3.57626i | 0.0616725 | − | 0.189808i | ||||
\(356\) | 19.3337 | + | 59.5030i | 1.02468 | + | 3.15365i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 33.4952 | − | 24.3357i | 1.77028 | − | 1.28618i | ||||
\(359\) | 7.48717 | + | 23.0431i | 0.395157 | + | 1.21617i | 0.928839 | + | 0.370484i | \(0.120808\pi\) |
−0.533681 | + | 0.845686i | \(0.679192\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.0334113 | + | 0.0242747i | 0.00175849 | + | 0.00127762i | ||||
\(362\) | 28.2342 | 1.48395 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.72794 | −0.457468 | ||||||||
\(365\) | −13.8139 | − | 10.0364i | −0.723054 | − | 0.525329i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.95470 | − | 21.4044i | −0.363032 | − | 1.11730i | −0.951204 | − | 0.308562i | \(-0.900152\pi\) |
0.588172 | − | 0.808736i | \(-0.299848\pi\) | |||||||
\(368\) | −1.21253 | + | 0.880954i | −0.0632074 | + | 0.0459229i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.67611 | − | 17.4693i | −0.295087 | − | 0.908184i | ||||
\(371\) | −0.128861 | + | 0.396595i | −0.00669015 | + | 0.0205902i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 6.25290 | 0.323763 | 0.161881 | − | 0.986810i | \(-0.448244\pi\) | ||||
0.161881 | + | 0.986810i | \(0.448244\pi\) | |||||||
\(374\) | 49.7602 | − | 0.498959i | 2.57304 | − | 0.0258005i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 86.9604 | + | 63.1804i | 4.48464 | + | 3.25828i | ||||
\(377\) | −2.28582 | + | 7.03502i | −0.117726 | + | 0.362322i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −10.3710 | + | 7.53496i | −0.532722 | + | 0.387045i | −0.821375 | − | 0.570389i | \(-0.806793\pi\) |
0.288653 | + | 0.957434i | \(0.406793\pi\) | |||||||
\(380\) | 21.3846 | − | 15.5369i | 1.09701 | − | 0.797024i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.68579 | + | 17.4990i | −0.290910 | + | 0.895329i | ||||
\(383\) | −5.23220 | − | 3.80142i | −0.267353 | − | 0.194243i | 0.446029 | − | 0.895018i | \(-0.352838\pi\) |
−0.713382 | + | 0.700775i | \(0.752838\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.16312 | + | 2.25003i | 0.161208 | + | 0.114672i | ||||
\(386\) | 59.8624 | 3.04691 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −9.61025 | + | 29.5773i | −0.487887 | + | 1.50156i | ||||
\(389\) | −4.60335 | − | 14.1676i | −0.233399 | − | 0.718328i | −0.997330 | − | 0.0730300i | \(-0.976733\pi\) |
0.763931 | − | 0.645298i | \(-0.223267\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.541588 | + | 0.393487i | −0.0273893 | + | 0.0198995i | ||||
\(392\) | 2.64012 | + | 8.12545i | 0.133346 | + | 0.410397i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −9.65577 | − | 7.01533i | −0.486451 | − | 0.353427i | ||||
\(395\) | −16.9428 | −0.852483 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.85862 | 0.0932813 | 0.0466407 | − | 0.998912i | \(-0.485148\pi\) | ||||
0.0466407 | + | 0.998912i | \(0.485148\pi\) | |||||||
\(398\) | 32.7480 | + | 23.7928i | 1.64151 | + | 1.19263i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −14.0563 | − | 43.2608i | −0.702814 | − | 2.16304i | ||||
\(401\) | 7.07282 | − | 5.13871i | 0.353200 | − | 0.256615i | −0.397010 | − | 0.917814i | \(-0.629952\pi\) |
0.750210 | + | 0.661199i | \(0.229952\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.28259 | + | 10.1028i | 0.163518 | + | 0.503255i | ||||
\(404\) | −0.162869 | + | 0.501258i | −0.00810302 | + | 0.0249385i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 11.7849 | 0.584877 | ||||||||
\(407\) | 6.18476 | + | 18.4047i | 0.306567 | + | 0.912289i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.2905 | − | 7.47649i | −0.508833 | − | 0.369689i | 0.303548 | − | 0.952816i | \(-0.401829\pi\) |
−0.812381 | + | 0.583128i | \(0.801829\pi\) | |||||||
\(410\) | −10.6814 | + | 32.8740i | −0.527517 | + | 1.62353i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 7.30115 | − | 5.30460i | 0.359702 | − | 0.261339i | ||||
\(413\) | −0.585359 | + | 0.425288i | −0.0288036 | + | 0.0209271i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.25113 | + | 3.85059i | −0.0614157 | + | 0.189018i | ||||
\(416\) | 22.4677 | + | 16.3238i | 1.10157 | + | 0.800338i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −31.0908 | + | 23.0686i | −1.52070 | + | 1.12832i | ||||
\(419\) | −8.09885 | −0.395655 | −0.197827 | − | 0.980237i | \(-0.563389\pi\) | ||||
−0.197827 | + | 0.980237i | \(0.563389\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.18233 | + | 25.1826i | −0.398782 | + | 1.22733i | 0.527194 | + | 0.849745i | \(0.323244\pi\) |
−0.925977 | + | 0.377581i | \(0.876756\pi\) | |||||||
\(422\) | −18.9283 | − | 58.2554i | −0.921417 | − | 2.83583i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.88230 | − | 2.09412i | 0.139977 | − | 0.101699i | ||||
\(425\) | −6.27837 | − | 19.3228i | −0.304546 | − | 0.937295i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.16627 | + | 5.20660i | 0.346800 | + | 0.251965i | ||||
\(428\) | −57.0728 | −2.75872 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −18.7388 | −0.903665 | ||||||||
\(431\) | 0.288371 | + | 0.209514i | 0.0138903 | + | 0.0100919i | 0.594709 | − | 0.803941i | \(-0.297267\pi\) |
−0.580818 | + | 0.814033i | \(0.697267\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.65144 | − | 17.3933i | −0.271591 | − | 0.835871i | −0.990101 | − | 0.140355i | \(-0.955176\pi\) |
0.718510 | − | 0.695516i | \(-0.244824\pi\) | |||||||
\(434\) | 13.6918 | − | 9.94768i | 0.657228 | − | 0.477504i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 26.4534 | + | 81.4151i | 1.26689 | + | 3.89908i | ||||
\(437\) | 0.160939 | − | 0.495320i | 0.00769876 | − | 0.0236944i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.67633 | 0.318644 | 0.159322 | − | 0.987227i | \(-0.449069\pi\) | ||||
0.159322 | + | 0.987227i | \(0.449069\pi\) | |||||||
\(440\) | −10.5640 | − | 31.4366i | −0.503620 | − | 1.49868i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 20.4253 | + | 14.8398i | 0.971531 | + | 0.705858i | ||||
\(443\) | −6.31639 | + | 19.4398i | −0.300101 | + | 0.923615i | 0.681360 | + | 0.731949i | \(0.261389\pi\) |
−0.981460 | + | 0.191666i | \(0.938611\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.4212 | − | 8.29801i | 0.541418 | − | 0.393363i | ||||
\(446\) | −21.0610 | + | 15.3017i | −0.997266 | + | 0.724556i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 5.92853 | − | 18.2461i | 0.280097 | − | 0.862048i | ||||
\(449\) | −4.46116 | − | 3.24122i | −0.210535 | − | 0.152963i | 0.477521 | − | 0.878620i | \(-0.341536\pi\) |
−0.688056 | + | 0.725658i | \(0.741536\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 10.9417 | − | 34.8608i | 0.515227 | − | 1.64153i | ||||
\(452\) | 32.5794 | 1.53241 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −15.4231 | + | 47.4674i | −0.723842 | + | 2.22776i | ||||
\(455\) | 0.608578 | + | 1.87301i | 0.0285306 | + | 0.0878081i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.62026 | + | 1.17719i | −0.0757926 | + | 0.0550666i | −0.625036 | − | 0.780596i | \(-0.714916\pi\) |
0.549244 | + | 0.835662i | \(0.314916\pi\) | |||||||
\(458\) | 7.49123 | + | 23.0556i | 0.350042 | + | 1.07732i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.587453 | + | 0.426809i | 0.0273901 | + | 0.0199001i | ||||
\(461\) | −8.17436 | −0.380718 | −0.190359 | − | 0.981715i | \(-0.560965\pi\) | ||||
−0.190359 | + | 0.981715i | \(0.560965\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.26686 | −0.198298 | −0.0991488 | − | 0.995073i | \(-0.531612\pi\) | ||||
−0.0991488 | + | 0.995073i | \(0.531612\pi\) | |||||||
\(464\) | −44.5629 | − | 32.3768i | −2.06878 | − | 1.50306i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.14368 | + | 21.9860i | 0.330924 | + | 1.01848i | ||||
\(467\) | −32.7764 | + | 23.8134i | −1.51671 | + | 1.10195i | −0.553620 | + | 0.832769i | \(0.686754\pi\) |
−0.963089 | + | 0.269184i | \(0.913246\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.71546 | + | 8.35733i | 0.125388 | + | 0.385905i | ||||
\(470\) | 12.1985 | − | 37.5432i | 0.562676 | − | 1.73174i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 6.18168 | 0.284535 | ||||||||
\(473\) | 19.8068 | − | 0.198608i | 0.910717 | − | 0.00913200i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 12.7876 | + | 9.29077i | 0.586737 | + | 0.426290i | ||||
\(476\) | 8.97072 | − | 27.6090i | 0.411172 | − | 1.26546i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 44.8670 | − | 32.5978i | 2.05217 | − | 1.49099i | ||||
\(479\) | −6.66697 | + | 4.84384i | −0.304622 | + | 0.221321i | −0.729585 | − | 0.683890i | \(-0.760287\pi\) |
0.424964 | + | 0.905210i | \(0.360287\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.04404 | + | 9.36860i | −0.138796 | + | 0.427172i | ||||
\(482\) | 53.8773 | + | 39.1442i | 2.45405 | + | 1.78297i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 18.7159 | + | 53.8991i | 0.850721 | + | 2.44996i | ||||
\(485\) | 7.01738 | 0.318643 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.298165 | + | 0.917658i | −0.0135111 | + | 0.0415830i | −0.957585 | − | 0.288152i | \(-0.906959\pi\) |
0.944074 | + | 0.329735i | \(0.106959\pi\) | |||||||
\(488\) | −23.3862 | − | 71.9752i | −1.05864 | − | 3.25816i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.53840 | − | 1.84426i | 0.114673 | − | 0.0833150i | ||||
\(491\) | −9.40289 | − | 28.9391i | −0.424346 | − | 1.30600i | −0.903619 | − | 0.428338i | \(-0.859099\pi\) |
0.479272 | − | 0.877666i | \(-0.340901\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −19.9045 | − | 14.4614i | −0.896452 | − | 0.651310i | ||||
\(494\) | −19.6417 | −0.883720 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −79.1027 | −3.55181 | ||||||||
\(497\) | 2.59926 | + | 1.88847i | 0.116593 | + | 0.0847096i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −11.6064 | − | 35.7208i | −0.519573 | − | 1.59908i | −0.774804 | − | 0.632201i | \(-0.782152\pi\) |
0.255231 | − | 0.966880i | \(-0.417848\pi\) | |||||||
\(500\) | −42.3855 | + | 30.7949i | −1.89554 | + | 1.37719i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 8.70479 | + | 26.7906i | 0.388514 | + | 1.19572i | ||||
\(503\) | 7.10421 | − | 21.8645i | 0.316761 | − | 0.974890i | −0.658262 | − | 0.752789i | \(-0.728708\pi\) |
0.975023 | − | 0.222102i | \(-0.0712917\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.118926 | 0.00529214 | ||||||||
\(506\) | −0.866624 | − | 0.616459i | −0.0385262 | − | 0.0274049i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −72.3355 | − | 52.5548i | −3.20937 | − | 2.33174i | ||||
\(509\) | 1.29651 | − | 3.99024i | 0.0574667 | − | 0.176864i | −0.918203 | − | 0.396110i | \(-0.870360\pi\) |
0.975670 | + | 0.219246i | \(0.0703597\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11.8028 | − | 8.57525i | 0.522126 | − | 0.379347i | ||||
\(512\) | 5.90848 | − | 4.29276i | 0.261120 | − | 0.189715i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.04937 | + | 9.38501i | −0.134502 | + | 0.413955i | ||||
\(515\) | −1.64746 | − | 1.19695i | −0.0725955 | − | 0.0527438i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −12.4958 | + | 39.8122i | −0.549567 | + | 1.75094i | ||||
\(518\) | 15.6941 | 0.689560 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 5.19945 | − | 16.0023i | 0.228011 | − | 0.701746i | ||||
\(521\) | −11.4156 | − | 35.1338i | −0.500129 | − | 1.53924i | −0.808809 | − | 0.588072i | \(-0.799887\pi\) |
0.308680 | − | 0.951166i | \(-0.400113\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.49381 | − | 1.08531i | 0.0653196 | − | 0.0474575i | −0.554646 | − | 0.832086i | \(-0.687146\pi\) |
0.619966 | + | 0.784629i | \(0.287146\pi\) | |||||||
\(524\) | 0.519422 | + | 1.59862i | 0.0226910 | + | 0.0698359i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 22.0823 | + | 16.0438i | 0.962835 | + | 0.699541i | ||||
\(527\) | −35.3320 | −1.53909 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.9857 | −0.999378 | ||||||||
\(530\) | −1.05852 | − | 0.769063i | −0.0459793 | − | 0.0334060i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 6.97904 | + | 21.4793i | 0.302580 | + | 0.931244i | ||||
\(533\) | 14.9970 | − | 10.8959i | 0.649591 | − | 0.471956i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.97955 | + | 12.2478i | 0.172051 | + | 0.529518i | ||||
\(536\) | 23.1998 | − | 71.4017i | 1.00208 | − | 3.08408i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −85.8395 | −3.70081 | ||||||||
\(539\) | −2.66352 | + | 1.97627i | −0.114726 | + | 0.0851239i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.87615 | + | 5.72236i | 0.338622 | + | 0.246023i | 0.744080 | − | 0.668090i | \(-0.232888\pi\) |
−0.405458 | + | 0.914114i | \(0.632888\pi\) | |||||||
\(542\) | −17.1880 | + | 52.8992i | −0.738287 | + | 2.27221i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −74.7296 | + | 54.2942i | −3.20400 | + | 2.32785i | ||||
\(545\) | 15.6271 | − | 11.3538i | 0.669392 | − | 0.486342i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.394754 | + | 1.21493i | −0.0168785 | + | 0.0519466i | −0.959141 | − | 0.282928i | \(-0.908694\pi\) |
0.942263 | + | 0.334875i | \(0.108694\pi\) | |||||||
\(548\) | 43.5264 | + | 31.6238i | 1.85936 | + | 1.35090i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 25.9213 | − | 19.2329i | 1.10529 | − | 0.820096i | ||||
\(551\) | 19.1408 | 0.815427 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.47338 | − | 13.7676i | 0.190227 | − | 0.585459i | ||||
\(554\) | 12.5476 | + | 38.6177i | 0.533098 | + | 1.64071i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −56.1364 | + | 40.7855i | −2.38071 | + | 1.72969i | ||||
\(557\) | −11.3679 | − | 34.9869i | −0.481675 | − | 1.48244i | −0.836740 | − | 0.547601i | \(-0.815541\pi\) |
0.355065 | − | 0.934842i | \(-0.384459\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.13017 | + | 5.90691i | 0.343870 | + | 0.249836i | ||||
\(560\) | −14.6653 | −0.619721 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 68.9667 | 2.90918 | ||||||||
\(563\) | −11.8603 | − | 8.61698i | −0.499850 | − | 0.363162i | 0.309110 | − | 0.951026i | \(-0.399969\pi\) |
−0.808960 | + | 0.587864i | \(0.799969\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.27168 | − | 6.99153i | −0.0955705 | − | 0.294136i | ||||
\(566\) | −39.0271 | + | 28.3549i | −1.64043 | + | 1.19184i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −8.48234 | − | 26.1060i | −0.355911 | − | 1.09538i | ||||
\(569\) | −8.60433 | + | 26.4814i | −0.360712 | + | 1.11016i | 0.591910 | + | 0.806004i | \(0.298374\pi\) |
−0.952623 | + | 0.304155i | \(0.901626\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.5879 | 0.610485 | 0.305243 | − | 0.952275i | \(-0.401262\pi\) | ||||
0.305243 | + | 0.952275i | \(0.401262\pi\) | |||||||
\(572\) | −8.66871 | + | 27.6188i | −0.362457 | + | 1.15480i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −23.8931 | − | 17.3593i | −0.997278 | − | 0.724565i | ||||
\(575\) | −0.134179 | + | 0.412962i | −0.00559567 | + | 0.0172217i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 21.1272 | − | 15.3498i | 0.879537 | − | 0.639021i | −0.0535917 | − | 0.998563i | \(-0.517067\pi\) |
0.933129 | + | 0.359542i | \(0.117067\pi\) | |||||||
\(578\) | −31.0658 | + | 22.5706i | −1.29217 | + | 0.938814i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −8.24668 | + | 25.3807i | −0.342425 | + | 1.05387i | ||||
\(581\) | −2.79864 | − | 2.03333i | −0.116107 | − | 0.0843568i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.12700 | + | 0.801675i | 0.0466757 | + | 0.0332020i | ||||
\(584\) | −124.643 | −5.15778 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −25.6480 | + | 78.9364i | −1.05951 | + | 3.26083i | ||||
\(587\) | −4.53123 | − | 13.9457i | −0.187024 | − | 0.575600i | 0.812954 | − | 0.582329i | \(-0.197858\pi\) |
−0.999977 | + | 0.00672835i | \(0.997858\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 22.2379 | − | 16.1568i | 0.916297 | − | 0.665729i | ||||
\(590\) | −0.701535 | − | 2.15910i | −0.0288818 | − | 0.0888889i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −59.3448 | − | 43.1165i | −2.43906 | − | 1.77208i | ||||
\(593\) | −17.7060 | −0.727100 | −0.363550 | − | 0.931575i | \(-0.618435\pi\) | ||||
−0.363550 | + | 0.931575i | \(0.618435\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.55039 | −0.268540 | ||||||||
\(596\) | 40.5777 | + | 29.4814i | 1.66213 | + | 1.20761i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.166737 | − | 0.513163i | −0.00681837 | − | 0.0209848i | ||||
\(599\) | 16.4173 | − | 11.9279i | 0.670795 | − | 0.487361i | −0.199496 | − | 0.979899i | \(-0.563931\pi\) |
0.870291 | + | 0.492538i | \(0.163931\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.38302 | − | 10.4119i | −0.137996 | − | 0.424709i | 0.858048 | − | 0.513570i | \(-0.171677\pi\) |
−0.996044 | + | 0.0888608i | \(0.971677\pi\) | |||||||
\(602\) | 4.94758 | − | 15.2271i | 0.201648 | − | 0.620610i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 13.2827 | 0.540467 | ||||||||
\(605\) | 10.2617 | − | 7.77466i | 0.417197 | − | 0.316085i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 27.4651 | + | 19.9545i | 1.11477 | + | 0.809929i | 0.983409 | − | 0.181405i | \(-0.0580644\pi\) |
0.131364 | + | 0.991334i | \(0.458064\pi\) | |||||||
\(608\) | 22.2068 | − | 68.3454i | 0.900603 | − | 2.77177i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −22.4851 | + | 16.3364i | −0.910396 | + | 0.661442i | ||||
\(611\) | −17.1271 | + | 12.4435i | −0.692887 | + | 0.503412i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.30828 | − | 7.10415i | 0.0932305 | − | 0.286934i | −0.893558 | − | 0.448948i | \(-0.851799\pi\) |
0.986788 | + | 0.162014i | \(0.0517989\pi\) | |||||||
\(614\) | 21.7303 | + | 15.7880i | 0.876962 | + | 0.637150i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 28.3345 | − | 0.284118i | 1.14163 | − | 0.0114474i | ||||
\(617\) | 29.3727 | 1.18250 | 0.591250 | − | 0.806489i | \(-0.298635\pi\) | ||||
0.591250 | + | 0.806489i | \(0.298635\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 11.1661 | − | 34.3658i | 0.448805 | − | 1.38128i | −0.429452 | − | 0.903090i | \(-0.641293\pi\) |
0.878257 | − | 0.478189i | \(-0.158707\pi\) | |||||||
\(620\) | 11.8428 | + | 36.4484i | 0.475618 | + | 1.46380i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 35.4269 | − | 25.7391i | 1.42049 | − | 1.03204i | ||||
\(623\) | 3.72740 | + | 11.4718i | 0.149335 | + | 0.459607i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.12039 | − | 3.72018i | −0.204816 | − | 0.148807i | ||||
\(626\) | 11.9849 | 0.479014 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 96.0055 | 3.83104 | ||||||||
\(629\) | −26.5069 | − | 19.2584i | −1.05690 | − | 0.767884i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.0937 | + | 37.2206i | 0.481442 | + | 1.48173i | 0.837068 | + | 0.547099i | \(0.184268\pi\) |
−0.355626 | + | 0.934628i | \(0.615732\pi\) | |||||||
\(632\) | −100.058 | + | 72.6964i | −3.98010 | + | 2.89171i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.92308 | + | 30.5401i | 0.394096 | + | 1.21290i | ||||
\(635\) | −6.23445 | + | 19.1877i | −0.247407 | + | 0.761440i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.68268 | −0.0666704 | ||||||||
\(638\) | 11.7050 | − | 37.2925i | 0.463405 | − | 1.47642i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 17.4446 | + | 12.6743i | 0.689559 | + | 0.500994i | ||||
\(641\) | 8.60878 | − | 26.4951i | 0.340026 | − | 1.04649i | −0.624167 | − | 0.781291i | \(-0.714561\pi\) |
0.964193 | − | 0.265202i | \(-0.0854386\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −10.6319 | + | 7.72449i | −0.419279 | + | 0.304624i | −0.777348 | − | 0.629071i | \(-0.783435\pi\) |
0.358068 | + | 0.933695i | \(0.383435\pi\) | |||||||
\(644\) | −0.501928 | + | 0.364672i | −0.0197787 | + | 0.0143701i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 20.1880 | − | 62.1324i | 0.794287 | − | 2.44457i | ||||
\(647\) | −2.72318 | − | 1.97851i | −0.107059 | − | 0.0777831i | 0.532968 | − | 0.846136i | \(-0.321077\pi\) |
−0.640027 | + | 0.768353i | \(0.721077\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.764402 | + | 2.27472i | 0.0300054 | + | 0.0892907i | ||||
\(650\) | 16.3758 | 0.642312 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.3836 | − | 31.9574i | 0.406653 | − | 1.25155i | ||||
\(653\) | 7.68828 | + | 23.6621i | 0.300866 | + | 0.925970i | 0.981188 | + | 0.193056i | \(0.0618400\pi\) |
−0.680322 | + | 0.732913i | \(0.738160\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.306844 | − | 0.222935i | 0.0119894 | − | 0.00871080i | ||||
\(656\) | 42.6565 | + | 131.283i | 1.66546 | + | 5.12575i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 27.2867 | + | 19.8250i | 1.06375 | + | 0.772858i | ||||
\(659\) | −30.5058 | −1.18834 | −0.594169 | − | 0.804340i | \(-0.702519\pi\) | ||||
−0.594169 | + | 0.804340i | \(0.702519\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.2042 | 0.396899 | 0.198449 | − | 0.980111i | \(-0.436409\pi\) | ||||
0.198449 | + | 0.980111i | \(0.436409\pi\) | |||||||
\(662\) | 39.2286 | + | 28.5012i | 1.52466 | + | 1.10773i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 9.13299 | + | 28.1085i | 0.354429 | + | 1.09082i | ||||
\(665\) | 4.12281 | − | 2.99540i | 0.159876 | − | 0.116156i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.162485 | + | 0.500078i | 0.00629146 | + | 0.0193631i | ||||
\(668\) | −40.4826 | + | 124.593i | −1.56632 | + | 4.82063i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −27.5717 | −1.06519 | ||||||||
\(671\) | 23.5935 | − | 17.5058i | 0.910816 | − | 0.675803i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 39.4150 | + | 28.6367i | 1.51934 | + | 1.10386i | 0.961815 | + | 0.273699i | \(0.0882471\pi\) |
0.557520 | + | 0.830163i | \(0.311753\pi\) | |||||||
\(674\) | 15.8112 | − | 48.6619i | 0.609025 | − | 1.87439i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 42.6704 | − | 31.0018i | 1.64117 | − | 1.19238i | ||||
\(677\) | 12.9476 | − | 9.40696i | 0.497616 | − | 0.361539i | −0.310490 | − | 0.950577i | \(-0.600493\pi\) |
0.808106 | + | 0.589038i | \(0.200493\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.85279 | + | 5.70230i | −0.0711035 | + | 0.218834i | ||||
\(680\) | 45.2758 | + | 32.8948i | 1.73625 | + | 1.26146i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −17.8797 | − | 53.2067i | −0.684649 | − | 2.03739i | ||||
\(683\) | 26.6991 | 1.02161 | 0.510805 | − | 0.859696i | \(-0.329347\pi\) | ||||
0.510805 | + | 0.859696i | \(0.329347\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.75146 | − | 11.5458i | 0.143336 | − | 0.441142i | ||||
\(686\) | 0.828426 | + | 2.54963i | 0.0316294 | + | 0.0973454i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −60.5419 | + | 43.9863i | −2.30814 | + | 1.67696i | ||||
\(689\) | 0.216833 | + | 0.667344i | 0.00826069 | + | 0.0254238i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −12.7417 | − | 9.25738i | −0.484717 | − | 0.352167i | 0.318432 | − | 0.947946i | \(-0.396844\pi\) |
−0.803149 | + | 0.595778i | \(0.796844\pi\) | |||||||
\(692\) | −48.0725 | −1.82744 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −14.2558 | −0.541143 | ||||||||
\(695\) | 12.6668 | + | 9.20296i | 0.480479 | + | 0.349088i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 19.0529 | + | 58.6389i | 0.721682 | + | 2.22111i | ||||
\(698\) | 44.7351 | − | 32.5019i | 1.69325 | − | 1.23022i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −5.81862 | − | 17.9079i | −0.219923 | − | 0.676854i | ||||
\(701\) | −9.94164 | + | 30.5972i | −0.375491 | + | 1.15564i | 0.567656 | + | 0.823266i | \(0.307850\pi\) |
−0.943147 | + | 0.332376i | \(0.892150\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 25.4900 | 0.961374 | ||||||||
\(704\) | −51.8500 | − | 36.8826i | −1.95417 | − | 1.39007i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −15.8704 | − | 11.5305i | −0.597291 | − | 0.433957i | ||||
\(707\) | −0.0313999 | + | 0.0966390i | −0.00118092 | + | 0.00363448i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.85455 | − | 2.07396i | 0.107205 | − | 0.0778890i | −0.532891 | − | 0.846184i | \(-0.678894\pi\) |
0.640096 | + | 0.768295i | \(0.278894\pi\) | |||||||
\(710\) | −8.15553 | + | 5.92534i | −0.306072 | + | 0.222374i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 31.8455 | − | 98.0103i | 1.19346 | − | 3.67309i | ||||
\(713\) | 0.610892 | + | 0.443839i | 0.0228781 | + | 0.0166219i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.53143 | − | 0.0654924i | 0.244262 | − | 0.00244928i | ||||
\(716\) | −80.1055 | −2.99368 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 20.0719 | − | 61.7750i | 0.749077 | − | 2.30542i | ||||
\(719\) | 11.4690 | + | 35.2980i | 0.427722 | + | 1.31639i | 0.900363 | + | 0.435139i | \(0.143301\pi\) |
−0.472641 | + | 0.881255i | \(0.656699\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.40761 | − | 1.02269i | 0.0524221 | − | 0.0380869i | ||||
\(722\) | −0.0342128 | − | 0.105296i | −0.00127327 | − | 0.00391872i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −44.1947 | − | 32.1093i | −1.64248 | − | 1.19333i | ||||
\(725\) | −15.9582 | −0.592674 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.85215 | −0.291220 | −0.145610 | − | 0.989342i | \(-0.546514\pi\) | ||||
−0.145610 | + | 0.989342i | \(0.546514\pi\) | |||||||
\(728\) | 11.6306 | + | 8.45012i | 0.431058 | + | 0.313182i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 14.1453 | + | 43.5348i | 0.523542 | + | 1.61130i | ||||
\(731\) | −27.0416 | + | 19.6469i | −1.00017 | + | 0.726667i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −8.99114 | − | 27.6719i | −0.332096 | − | 1.02208i | −0.968135 | − | 0.250428i | \(-0.919429\pi\) |
0.636040 | − | 0.771656i | \(-0.280571\pi\) | |||||||
\(734\) | −18.6444 | + | 57.3817i | −0.688179 | + | 2.11800i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.97412 | 0.0727671 | ||||||||
\(737\) | 29.1431 | − | 0.292226i | 1.07350 | − | 0.0107643i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.81344 | + | 4.22371i | 0.213851 | + | 0.155372i | 0.689554 | − | 0.724234i | \(-0.257806\pi\) |
−0.475704 | + | 0.879606i | \(0.657806\pi\) | |||||||
\(740\) | −10.9822 | + | 33.7997i | −0.403713 | + | 1.24250i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.904419 | − | 0.657099i | 0.0332023 | − | 0.0241228i | ||||
\(743\) | −8.59339 | + | 6.24346i | −0.315261 | + | 0.229050i | −0.734151 | − | 0.678987i | \(-0.762419\pi\) |
0.418890 | + | 0.908037i | \(0.362419\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.49732 | − | 10.7636i | 0.128132 | − | 0.394349i | ||||
\(746\) | −13.5616 | − | 9.85307i | −0.496525 | − | 0.360746i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −78.4566 | − | 55.8088i | −2.86866 | − | 2.04057i | ||||
\(749\) | −11.0032 | −0.402049 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.94567 | − | 15.2212i | 0.180470 | − | 0.555430i | −0.819371 | − | 0.573264i | \(-0.805677\pi\) |
0.999841 | + | 0.0178338i | \(0.00567699\pi\) | |||||||
\(752\) | −48.7152 | − | 149.930i | −1.77646 | − | 5.46738i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 16.0431 | − | 11.6560i | 0.584255 | − | 0.424486i | ||||
\(755\) | −0.926173 | − | 2.85047i | −0.0337069 | − | 0.103739i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.96721 | + | 5.06197i | 0.253228 | + | 0.183981i | 0.707156 | − | 0.707058i | \(-0.249978\pi\) |
−0.453928 | + | 0.891038i | \(0.649978\pi\) | |||||||
\(758\) | 34.3664 | 1.24824 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −43.5388 | −1.57932 | ||||||||
\(761\) | −12.5649 | − | 9.12892i | −0.455477 | − | 0.330923i | 0.336278 | − | 0.941763i | \(-0.390832\pi\) |
−0.791754 | + | 0.610840i | \(0.790832\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.10002 | + | 15.6963i | 0.184633 | + | 0.568243i | ||||
\(764\) | 28.8007 | − | 20.9250i | 1.04197 | − | 0.757038i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 5.35773 | + | 16.4894i | 0.193583 | + | 0.595786i | ||||
\(767\) | −0.376227 | + | 1.15791i | −0.0135848 | + | 0.0418096i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 51.4797 | 1.85640 | 0.928202 | − | 0.372076i | \(-0.121354\pi\) | ||||
0.928202 | + | 0.372076i | \(0.121354\pi\) | |||||||
\(770\) | −3.31481 | − | 9.86429i | −0.119458 | − | 0.355484i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −93.7021 | − | 68.0785i | −3.37241 | − | 2.45020i | ||||
\(773\) | −6.24454 | + | 19.2187i | −0.224601 | + | 0.691249i | 0.773731 | + | 0.633514i | \(0.218388\pi\) |
−0.998332 | + | 0.0577356i | \(0.981612\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −18.5404 | + | 13.4704i | −0.665989 | + | 0.483870i | ||||
\(776\) | 41.4422 | − | 30.1095i | 1.48769 | − | 1.08087i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −12.3408 | + | 37.9812i | −0.442441 | + | 1.36169i | ||||
\(779\) | −38.8066 | − | 28.1946i | −1.39039 | − | 1.01018i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.55753 | − | 6.34948i | 0.306213 | − | 0.227202i | ||||
\(782\) | 1.79466 | 0.0641769 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.87206 | − | 11.9170i | 0.138288 | − | 0.425606i | ||||
\(785\) | −6.69423 | − | 20.6027i | −0.238927 | − | 0.735343i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −40.0730 | + | 29.1148i | −1.42845 | + | 1.03783i | −0.438147 | + | 0.898903i | \(0.644365\pi\) |
−0.990303 | + | 0.138926i | \(0.955635\pi\) | |||||||
\(788\) | 7.13591 | + | 21.9621i | 0.254206 | + | 0.782366i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 36.7463 | + | 26.6977i | 1.30737 | + | 0.949862i | ||||
\(791\) | 6.28108 | 0.223330 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 14.9052 | 0.529299 | ||||||||
\(794\) | −4.03106 | − | 2.92873i | −0.143057 | − | 0.103937i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −24.2018 | − | 74.4855i | −0.857810 | − | 2.64007i | ||||
\(797\) | 21.5700 | − | 15.6715i | 0.764047 | − | 0.555113i | −0.136102 | − | 0.990695i | \(-0.543457\pi\) |
0.900149 | + | 0.435582i | \(0.143457\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −21.7591 | − | 66.9677i | −0.769782 | − | 2.36915i | ||||
\(800\) | −18.5144 | + | 56.9815i | −0.654583 | + | 2.01460i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −23.4372 | −0.827597 | ||||||||
\(803\) | −15.4129 | − | 45.8661i | −0.543910 | − | 1.61858i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.113257 | + | 0.0822858i | 0.00399178 | + | 0.00290019i | ||||
\(806\) | 8.80011 | − | 27.0840i | 0.309971 | − | 0.953992i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.702336 | − | 0.510277i | 0.0247081 | − | 0.0179515i | ||||
\(809\) | −41.4858 | + | 30.1412i | −1.45856 | + | 1.05971i | −0.474830 | + | 0.880078i | \(0.657490\pi\) |
−0.983734 | + | 0.179631i | \(0.942510\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 8.32308 | − | 25.6158i | 0.292263 | − | 0.899493i | −0.691864 | − | 0.722028i | \(-0.743210\pi\) |
0.984127 | − | 0.177465i | \(-0.0567896\pi\) | |||||||
\(812\) | −18.4469 | − | 13.4024i | −0.647359 | − | 0.470334i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 15.5876 | − | 49.6627i | 0.546346 | − | 1.74068i | ||||
\(815\) | −7.58207 | −0.265588 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.03574 | − | 24.7315i | 0.281135 | − | 0.865245i | ||||
\(818\) | 10.5374 | + | 32.4307i | 0.368431 | + | 1.13391i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 54.1055 | − | 39.3099i | 1.88945 | − | 1.37276i | ||||
\(821\) | −11.2244 | − | 34.5451i | −0.391734 | − | 1.20563i | −0.931476 | − | 0.363803i | \(-0.881478\pi\) |
0.539742 | − | 0.841831i | \(-0.318522\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.26651 | + | 6.73251i | 0.323010 | + | 0.234681i | 0.737459 | − | 0.675392i | \(-0.236026\pi\) |
−0.414449 | + | 0.910073i | \(0.636026\pi\) | |||||||
\(824\) | −14.8650 | −0.517848 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.93971 | 0.0674910 | ||||||||
\(827\) | 15.2696 | + | 11.0940i | 0.530978 | + | 0.385778i | 0.820723 | − | 0.571326i | \(-0.193571\pi\) |
−0.289746 | + | 0.957104i | \(0.593571\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −3.71313 | − | 11.4278i | −0.128962 | − | 0.396906i | 0.865640 | − | 0.500667i | \(-0.166912\pi\) |
−0.994602 | + | 0.103762i | \(0.966912\pi\) | |||||||
\(830\) | 8.78111 | − | 6.37985i | 0.304797 | − | 0.221448i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −9.97584 | − | 30.7025i | −0.345850 | − | 1.06442i | ||||
\(833\) | 1.72949 | − | 5.32283i | 0.0599233 | − | 0.184425i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 29.5603 | 1.02297 | ||||||||
\(836\) | 74.9010 | − | 0.751053i | 2.59051 | − | 0.0259757i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 17.5652 | + | 12.7618i | 0.606778 | + | 0.440850i | ||||
\(839\) | 1.65108 | − | 5.08151i | 0.0570017 | − | 0.175433i | −0.918502 | − | 0.395416i | \(-0.870600\pi\) |
0.975504 | + | 0.219983i | \(0.0706003\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 7.82747 | − | 5.68699i | 0.269913 | − | 0.196103i | ||||
\(842\) | 57.4280 | − | 41.7239i | 1.97910 | − | 1.43790i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −36.6227 | + | 112.713i | −1.26060 | + | 3.87974i | ||||
\(845\) | −9.62828 | − | 6.99536i | −0.331223 | − | 0.240648i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.60829 | + | 10.3914i | 0.123982 | + | 0.357051i | ||||
\(848\) | −5.22516 | −0.179433 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −16.8313 | + | 51.8015i | −0.577310 | + | 1.77678i | ||||
\(851\) | 0.216383 | + | 0.665959i | 0.00741752 | + | 0.0228288i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.849803 | + | 0.617418i | −0.0290967 | + | 0.0211400i | −0.602239 | − | 0.798316i | \(-0.705724\pi\) |
0.573142 | + | 0.819456i | \(0.305724\pi\) | |||||||
\(854\) | −7.33819 | − | 22.5846i | −0.251108 | − | 0.772830i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 76.0535 | + | 55.2561i | 2.59946 | + | 1.88862i | ||||
\(857\) | 13.9506 | 0.476542 | 0.238271 | − | 0.971199i | \(-0.423419\pi\) | ||||
0.238271 | + | 0.971199i | \(0.423419\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 51.5493 | 1.75884 | 0.879419 | − | 0.476048i | \(-0.157931\pi\) | ||||
0.879419 | + | 0.476048i | \(0.157931\pi\) | |||||||
\(860\) | 29.3317 | + | 21.3107i | 1.00020 | + | 0.726690i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.295289 | − | 0.908807i | −0.0100576 | − | 0.0309541i | ||||
\(863\) | 26.8508 | − | 19.5082i | 0.914012 | − | 0.664068i | −0.0280145 | − | 0.999608i | \(-0.508918\pi\) |
0.942026 | + | 0.335539i | \(0.108918\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.35198 | + | 10.3163i | 0.113971 | + | 0.350766i | ||||
\(866\) | −15.1506 | + | 46.6288i | −0.514839 | + | 1.58451i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −32.7447 | −1.11143 | ||||||||
\(869\) | −39.1235 | − | 27.8298i | −1.32717 | − | 0.944063i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.9625 | + | 8.69125i | 0.405333 | + | 0.294492i | ||||
\(872\) | 43.5726 | − | 134.103i | 1.47555 | − | 4.54129i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.12956 | + | 0.820671i | −0.0382078 | + | 0.0277596i | ||||
\(875\) | −8.17163 | + | 5.93704i | −0.276252 | + | 0.200709i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −15.5244 | + | 47.7792i | −0.524221 | + | 1.61339i | 0.241629 | + | 0.970369i | \(0.422318\pi\) |
−0.765850 | + | 0.643019i | \(0.777682\pi\) | |||||||
\(878\) | −14.4799 | − | 10.5203i | −0.488674 | − | 0.355042i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −14.5658 | + | 46.4070i | −0.491012 | + | 1.56438i | ||||
\(881\) | 38.9209 | 1.31128 | 0.655639 | − | 0.755074i | \(-0.272399\pi\) | ||||
0.655639 | + | 0.755074i | \(0.272399\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.19938 | + | 9.84668i | −0.107668 | + | 0.331367i | −0.990347 | − | 0.138608i | \(-0.955737\pi\) |
0.882680 | + | 0.469975i | \(0.155737\pi\) | |||||||
\(884\) | −15.0949 | − | 46.4573i | −0.507696 | − | 1.56253i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 44.3318 | − | 32.2089i | 1.48936 | − | 1.08208i | ||||
\(887\) | −7.61512 | − | 23.4369i | −0.255691 | − | 0.786935i | −0.993693 | − | 0.112136i | \(-0.964231\pi\) |
0.738002 | − | 0.674798i | \(-0.235769\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.9458 | − | 10.1322i | −0.467726 | − | 0.339823i | ||||
\(890\) | −37.8466 | −1.26862 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 50.3684 | 1.68646 | ||||||||
\(893\) | 44.3185 | + | 32.1992i | 1.48306 | + | 1.07751i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.58557 | + | 17.1906i | 0.186705 | + | 0.574618i | ||||
\(896\) | −14.9049 | + | 10.8291i | −0.497939 | + | 0.361774i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 4.56818 | + | 14.0594i | 0.152442 | + | 0.469169i | ||||
\(899\) | −8.57572 | + | 26.3934i | −0.286016 | + | 0.880268i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.33387 | −0.0777525 | ||||||||
\(902\) | −78.6631 | + | 58.3661i | −2.61920 | + | 1.94338i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −43.4144 | − | 31.5424i | −1.44394 | − | 1.04908i | ||||
\(905\) | −3.80906 | + | 11.7231i | −0.126617 | + | 0.389688i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −34.8450 | + | 25.3164i | −1.15701 | + | 0.840617i | −0.989397 | − | 0.145236i | \(-0.953606\pi\) |
−0.167613 | + | 0.985853i | \(0.553606\pi\) | |||||||
\(908\) | 78.1240 | − | 56.7604i | 2.59264 | − | 1.88366i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.63150 | − | 5.02125i | 0.0540837 | − | 0.166453i | ||||
\(911\) | 36.7533 | + | 26.7028i | 1.21769 | + | 0.884704i | 0.995906 | − | 0.0903919i | \(-0.0288120\pi\) |
0.221784 | + | 0.975096i | \(0.428812\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.21396 | + | 6.83653i | −0.304937 | + | 0.226256i | ||||
\(914\) | 5.36907 | 0.177593 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 14.4941 | − | 44.6082i | 0.478898 | − | 1.47390i | ||||
\(917\) | 0.100141 | + | 0.308202i | 0.00330694 | + | 0.0101777i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −13.5629 | + | 9.85403i | −0.447399 | + | 0.325054i | −0.788568 | − | 0.614948i | \(-0.789177\pi\) |
0.341169 | + | 0.940002i | \(0.389177\pi\) | |||||||
\(920\) | −0.369598 | − | 1.13751i | −0.0121853 | − | 0.0375025i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 17.7289 | + | 12.8808i | 0.583871 | + | 0.424207i | ||||
\(923\) | 5.40623 | 0.177948 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −21.2517 | −0.698753 | ||||||||
\(926\) | 9.25416 | + | 6.72354i | 0.304110 | + | 0.220949i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 22.4201 | + | 69.0020i | 0.735976 | + | 2.26510i | ||||
\(929\) | −18.2505 | + | 13.2597i | −0.598778 | + | 0.435038i | −0.845445 | − | 0.534063i | \(-0.820665\pi\) |
0.246667 | + | 0.969100i | \(0.420665\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.34551 | + | 4.14105i | 0.0440973 | + | 0.135717i | ||||
\(932\) | 13.8216 | − | 42.5386i | 0.452743 | − | 1.39340i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 108.611 | 3.55386 | ||||||||
\(935\) | −6.50595 | + | 20.7282i | −0.212767 | + | 0.677883i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.11987 | − | 4.44635i | −0.199928 | − | 0.145256i | 0.483317 | − | 0.875445i | \(-0.339432\pi\) |
−0.683245 | + | 0.730189i | \(0.739432\pi\) | |||||||
\(938\) | 7.27972 | − | 22.4047i | 0.237691 | − | 0.731538i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −61.7903 | + | 44.8933i | −2.01538 | + | 1.46426i | ||||
\(941\) | 39.4471 | − | 28.6600i | 1.28594 | − | 0.934289i | 0.286223 | − | 0.958163i | \(-0.407600\pi\) |
0.999715 | + | 0.0238740i | \(0.00760007\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.407194 | − | 1.25321i | 0.0132600 | − | 0.0408102i | ||||
\(944\) | −7.33469 | − | 5.32896i | −0.238724 | − | 0.173443i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −43.2708 | − | 30.7800i | −1.40686 | − | 1.00074i | ||||
\(947\) | −14.4056 | −0.468119 | −0.234060 | − | 0.972222i | \(-0.575201\pi\) | ||||
−0.234060 | + | 0.972222i | \(0.575201\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.58601 | − | 23.3473i | 0.246252 | − | 0.757886i | ||||
\(950\) | −13.0944 | − | 40.3005i | −0.424839 | − | 1.30752i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −38.6843 | + | 28.1058i | −1.25377 | + | 0.910915i | ||||
\(953\) | −9.72527 | − | 29.9313i | −0.315032 | − | 0.969570i | −0.975741 | − | 0.218927i | \(-0.929744\pi\) |
0.660709 | − | 0.750642i | \(-0.270256\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.49869 | − | 4.72157i | −0.210293 | − | 0.152787i | ||||
\(956\) | −107.302 | −3.47039 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 22.0924 | 0.713772 | ||||||||
\(959\) | 8.39158 | + | 6.09684i | 0.270978 | + | 0.196877i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.73581 | + | 8.41994i | 0.0882518 | + | 0.271611i | ||||
\(962\) | 21.3647 | − | 15.5224i | 0.688827 | − | 0.500462i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −39.8170 | − | 122.544i | −1.28242 | − | 3.94688i | ||||
\(965\) | −8.07600 | + | 24.8554i | −0.259976 | + | 0.800123i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 19.1109 | 0.614566 | 0.307283 | − | 0.951618i | \(-0.400580\pi\) | ||||
0.307283 | + | 0.951618i | \(0.400580\pi\) | |||||||
\(968\) | 27.2432 | − | 89.9444i | 0.875629 | − | 2.89092i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −15.2196 | − | 11.0577i | −0.488672 | − | 0.355041i | ||||
\(971\) | −13.2200 | + | 40.6871i | −0.424251 | + | 1.30571i | 0.479458 | + | 0.877565i | \(0.340833\pi\) |
−0.903709 | + | 0.428146i | \(0.859167\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −10.8227 | + | 7.86315i | −0.346960 | + | 0.252081i | ||||
\(974\) | 2.09268 | − | 1.52042i | 0.0670539 | − | 0.0487175i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −34.2986 | + | 105.560i | −1.09787 | + | 3.37890i | ||||
\(977\) | −32.5446 | − | 23.6450i | −1.04119 | − | 0.756471i | −0.0706755 | − | 0.997499i | \(-0.522515\pi\) |
−0.970518 | + | 0.241028i | \(0.922515\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 40.0035 | − | 0.401126i | 1.27852 | − | 0.0128201i | ||||
\(980\) | −6.07072 | −0.193922 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −25.2077 | + | 77.5812i | −0.804409 | + | 2.47572i | ||||
\(983\) | −7.40278 | − | 22.7834i | −0.236112 | − | 0.726678i | −0.996972 | − | 0.0777617i | \(-0.975223\pi\) |
0.760860 | − | 0.648916i | \(-0.224777\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.21548 | − | 3.06272i | 0.134316 | − | 0.0975865i | ||||
\(986\) | 20.3820 | + | 62.7293i | 0.649094 | + | 1.99771i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 30.7449 | + | 22.3375i | 0.978127 | + | 0.710651i | ||||
\(989\) | 0.714356 | 0.0227152 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −19.7275 | −0.626665 | −0.313332 | − | 0.949644i | \(-0.601445\pi\) | ||||
−0.313332 | + | 0.949644i | \(0.601445\pi\) | |||||||
\(992\) | 84.2924 | + | 61.2420i | 2.67629 | + | 1.94444i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.66162 | − | 8.19161i | −0.0844214 | − | 0.259822i | ||||
\(995\) | −14.2970 | + | 10.3874i | −0.453246 | + | 0.329302i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.589757 | + | 1.81509i | 0.0186778 | + | 0.0574843i | 0.959961 | − | 0.280134i | \(-0.0903788\pi\) |
−0.941283 | + | 0.337618i | \(0.890379\pi\) | |||||||
\(998\) | −31.1149 | + | 95.7617i | −0.984924 | + | 3.03128i | ||||
\(999\) | 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 | 693.2.m.k.631.1 | yes | 32 | |
3.2 | odd | 2 | inner | 693.2.m.k.631.8 | yes | 32 | |
11.3 | even | 5 | inner | 693.2.m.k.190.1 | ✓ | 32 | |
11.5 | even | 5 | 7623.2.a.dc.1.16 | 16 | |||
11.6 | odd | 10 | 7623.2.a.db.1.1 | 16 | |||
33.5 | odd | 10 | 7623.2.a.dc.1.1 | 16 | |||
33.14 | odd | 10 | inner | 693.2.m.k.190.8 | yes | 32 | |
33.17 | even | 10 | 7623.2.a.db.1.16 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
693.2.m.k.190.1 | ✓ | 32 | 11.3 | even | 5 | inner | |
693.2.m.k.190.8 | yes | 32 | 33.14 | odd | 10 | inner | |
693.2.m.k.631.1 | yes | 32 | 1.1 | even | 1 | trivial | |
693.2.m.k.631.8 | yes | 32 | 3.2 | odd | 2 | inner | |
7623.2.a.db.1.1 | 16 | 11.6 | odd | 10 | |||
7623.2.a.db.1.16 | 16 | 33.17 | even | 10 | |||
7623.2.a.dc.1.1 | 16 | 33.5 | odd | 10 | |||
7623.2.a.dc.1.16 | 16 | 11.5 | even | 5 |