Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(299,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.299");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.m (of order \(2\), degree \(1\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 299.10 | ||
Character | \(\chi\) | \(=\) | 600.299 |
Dual form | 600.2.m.e.299.11 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.244153 | − | 1.39298i | −0.172642 | − | 0.984985i | ||||
\(3\) | −1.12950 | + | 1.31310i | −0.652117 | + | 0.758118i | ||||
\(4\) | −1.88078 | + | 0.680200i | −0.940389 | + | 0.340100i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 2.10489 | + | 1.25277i | 0.859318 | + | 0.511442i | ||||
\(7\) | −4.34495 | −1.64224 | −0.821118 | − | 0.570758i | \(-0.806650\pi\) | ||||
−0.821118 | + | 0.570758i | \(0.806650\pi\) | |||||||
\(8\) | 1.40670 | + | 2.45381i | 0.497344 | + | 0.867553i | ||||
\(9\) | −0.448458 | − | 2.96629i | −0.149486 | − | 0.988764i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 1.83679i | − | 0.553813i | −0.960897 | − | 0.276907i | \(-0.910691\pi\) | ||
0.960897 | − | 0.276907i | \(-0.0893093\pi\) | |||||||
\(12\) | 1.23117 | − | 3.23793i | 0.355408 | − | 0.934711i | ||||
\(13\) | −0.588129 | −0.163118 | −0.0815588 | − | 0.996669i | \(-0.525990\pi\) | ||||
−0.0815588 | + | 0.996669i | \(0.525990\pi\) | |||||||
\(14\) | 1.06083 | + | 6.05242i | 0.283520 | + | 1.61758i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.07466 | − | 2.55861i | 0.768664 | − | 0.639653i | ||||
\(17\) | 5.37818 | 1.30440 | 0.652200 | − | 0.758047i | \(-0.273846\pi\) | ||||
0.652200 | + | 0.758047i | \(0.273846\pi\) | |||||||
\(18\) | −4.02249 | + | 1.34892i | −0.948110 | + | 0.317944i | ||||
\(19\) | 5.38776 | 1.23604 | 0.618018 | − | 0.786164i | \(-0.287936\pi\) | ||||
0.618018 | + | 0.786164i | \(0.287936\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.90762 | − | 5.70535i | 1.07093 | − | 1.24501i | ||||
\(22\) | −2.55861 | + | 0.448458i | −0.545498 | + | 0.0956116i | ||||
\(23\) | 2.40885i | 0.502280i | 0.967951 | + | 0.251140i | \(0.0808055\pi\) | ||||
−0.967951 | + | 0.251140i | \(0.919194\pi\) | |||||||
\(24\) | −4.81097 | − | 0.924442i | −0.982035 | − | 0.188701i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.143593 | + | 0.819251i | 0.0281610 | + | 0.160668i | ||||
\(27\) | 4.40157 | + | 2.76156i | 0.847082 | + | 0.531462i | ||||
\(28\) | 8.17189 | − | 2.95543i | 1.54434 | − | 0.558525i | ||||
\(29\) | 7.98077 | 1.48199 | 0.740996 | − | 0.671510i | \(-0.234354\pi\) | ||||
0.740996 | + | 0.671510i | \(0.234354\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.06575i | 1.26905i | 0.772904 | + | 0.634523i | \(0.218803\pi\) | ||||
−0.772904 | + | 0.634523i | \(0.781197\pi\) | |||||||
\(32\) | −4.31478 | − | 3.65824i | −0.762752 | − | 0.646691i | ||||
\(33\) | 2.41189 | + | 2.07466i | 0.419856 | + | 0.361151i | ||||
\(34\) | −1.31310 | − | 7.49169i | −0.225195 | − | 1.28481i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.86112 | + | 5.27390i | 0.476854 | + | 0.878983i | ||||
\(37\) | 2.72080 | 0.447297 | 0.223648 | − | 0.974670i | \(-0.428203\pi\) | ||||
0.223648 | + | 0.974670i | \(0.428203\pi\) | |||||||
\(38\) | −1.31544 | − | 7.50503i | −0.213392 | − | 1.21748i | ||||
\(39\) | 0.664291 | − | 0.772271i | 0.106372 | − | 0.123662i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.42496i | 0.534888i | 0.963573 | + | 0.267444i | \(0.0861791\pi\) | ||||
−0.963573 | + | 0.267444i | \(0.913821\pi\) | |||||||
\(42\) | −9.14564 | − | 5.44323i | −1.41120 | − | 0.839909i | ||||
\(43\) | 2.96772i | 0.452574i | 0.974061 | + | 0.226287i | \(0.0726587\pi\) | ||||
−0.974061 | + | 0.226287i | \(0.927341\pi\) | |||||||
\(44\) | 1.24939 | + | 3.45460i | 0.188352 | + | 0.520800i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.35548 | − | 0.588129i | 0.494739 | − | 0.0867148i | ||||
\(47\) | − | 9.81525i | − | 1.43170i | −0.698254 | − | 0.715850i | \(-0.746039\pi\) | ||
0.698254 | − | 0.715850i | \(-0.253961\pi\) | |||||||
\(48\) | −0.113116 | + | 6.92728i | −0.0163269 | + | 0.999867i | ||||
\(49\) | 11.8786 | 1.69694 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.07466 | + | 7.06208i | −0.850622 | + | 0.988889i | ||||
\(52\) | 1.10614 | − | 0.400045i | 0.153394 | − | 0.0554763i | ||||
\(53\) | − | 6.65218i | − | 0.913748i | −0.889531 | − | 0.456874i | \(-0.848969\pi\) | ||
0.889531 | − | 0.456874i | \(-0.151031\pi\) | |||||||
\(54\) | 2.77213 | − | 6.80553i | 0.377240 | − | 0.926116i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −6.11205 | − | 10.6617i | −0.816757 | − | 1.42473i | ||||
\(57\) | −6.08547 | + | 7.07466i | −0.806040 | + | 0.937061i | ||||
\(58\) | −1.94853 | − | 11.1170i | −0.255854 | − | 1.45974i | ||||
\(59\) | − | 10.7564i | − | 1.40036i | −0.713967 | − | 0.700179i | \(-0.753103\pi\) | ||
0.713967 | − | 0.700179i | \(-0.246897\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 9.27803i | − | 1.18793i | −0.804491 | − | 0.593965i | \(-0.797562\pi\) | ||
0.804491 | − | 0.593965i | \(-0.202438\pi\) | |||||||
\(62\) | 9.84244 | − | 1.72512i | 1.24999 | − | 0.219091i | ||||
\(63\) | 1.94853 | + | 12.8884i | 0.245492 | + | 1.62378i | ||||
\(64\) | −4.04238 | + | 6.90356i | −0.505298 | + | 0.862945i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.30108 | − | 3.86624i | 0.283244 | − | 0.475902i | ||||
\(67\) | − | 4.13536i | − | 0.505215i | −0.967569 | − | 0.252607i | \(-0.918712\pi\) | ||
0.967569 | − | 0.252607i | \(-0.0812881\pi\) | |||||||
\(68\) | −10.1152 | + | 3.65824i | −1.22664 | + | 0.443626i | ||||
\(69\) | −3.16306 | − | 2.72080i | −0.380788 | − | 0.327546i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −12.2241 | −1.45073 | −0.725367 | − | 0.688363i | \(-0.758330\pi\) | ||||
−0.725367 | + | 0.688363i | \(0.758330\pi\) | |||||||
\(72\) | 6.64787 | − | 5.27312i | 0.783459 | − | 0.621443i | ||||
\(73\) | 4.42003i | 0.517325i | 0.965968 | + | 0.258663i | \(0.0832818\pi\) | ||||
−0.965968 | + | 0.258663i | \(0.916718\pi\) | |||||||
\(74\) | −0.664291 | − | 3.79002i | −0.0772223 | − | 0.440580i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −10.1332 | + | 3.66475i | −1.16235 | + | 0.420376i | ||||
\(77\) | 7.98077i | 0.909493i | ||||||||
\(78\) | −1.23795 | − | 0.736791i | −0.140170 | − | 0.0834252i | ||||
\(79\) | 12.5870i | 1.41614i | 0.706141 | + | 0.708072i | \(0.250435\pi\) | ||||
−0.706141 | + | 0.708072i | \(0.749565\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.59777 | + | 2.66052i | −0.955308 | + | 0.295613i | ||||
\(82\) | 4.77089 | − | 0.836213i | 0.526857 | − | 0.0923443i | ||||
\(83\) | 11.5594 | 1.26881 | 0.634404 | − | 0.773002i | \(-0.281246\pi\) | ||||
0.634404 | + | 0.773002i | \(0.281246\pi\) | |||||||
\(84\) | −5.34937 | + | 14.0687i | −0.583664 | + | 1.53502i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 4.13398 | − | 0.724579i | 0.445778 | − | 0.0781334i | ||||
\(87\) | −9.01428 | + | 10.4795i | −0.966432 | + | 1.12352i | ||||
\(88\) | 4.50714 | − | 2.58382i | 0.480463 | − | 0.275436i | ||||
\(89\) | 4.21222i | 0.446495i | 0.974762 | + | 0.223247i | \(0.0716658\pi\) | ||||
−0.974762 | + | 0.223247i | \(0.928334\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.55539 | 0.267878 | ||||||||
\(92\) | −1.63850 | − | 4.53052i | −0.170826 | − | 0.472339i | ||||
\(93\) | −9.27803 | − | 7.98077i | −0.962087 | − | 0.827567i | ||||
\(94\) | −13.6724 | + | 2.39642i | −1.41020 | + | 0.247172i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 9.67717 | − | 1.53375i | 0.987672 | − | 0.156538i | ||||
\(97\) | − | 2.16763i | − | 0.220090i | −0.993927 | − | 0.110045i | \(-0.964901\pi\) | ||
0.993927 | − | 0.110045i | \(-0.0350995\pi\) | |||||||
\(98\) | −2.90019 | − | 16.5466i | −0.292964 | − | 1.67146i | ||||
\(99\) | −5.44846 | + | 0.823724i | −0.547591 | + | 0.0827874i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.16306 | −0.314736 | −0.157368 | − | 0.987540i | \(-0.550301\pi\) | ||||
−0.157368 | + | 0.987540i | \(0.550301\pi\) | |||||||
\(102\) | 11.3205 | + | 6.73764i | 1.12089 | + | 0.667125i | ||||
\(103\) | 12.5870 | 1.24023 | 0.620115 | − | 0.784511i | \(-0.287086\pi\) | ||||
0.620115 | + | 0.784511i | \(0.287086\pi\) | |||||||
\(104\) | −0.827322 | − | 1.44316i | −0.0811256 | − | 0.141513i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −9.26635 | + | 1.62415i | −0.900027 | + | 0.157751i | ||||
\(107\) | 3.79002 | 0.366395 | 0.183197 | − | 0.983076i | \(-0.441355\pi\) | ||||
0.183197 | + | 0.983076i | \(0.441355\pi\) | |||||||
\(108\) | −10.1568 | − | 2.19993i | −0.977337 | − | 0.211689i | ||||
\(109\) | − | 0.588129i | − | 0.0563325i | −0.999603 | − | 0.0281663i | \(-0.991033\pi\) | ||
0.999603 | − | 0.0281663i | \(-0.00896678\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.07314 | + | 3.57268i | −0.291690 | + | 0.339104i | ||||
\(112\) | −13.3592 | + | 11.1170i | −1.26233 | + | 1.05046i | ||||
\(113\) | 11.0621 | 1.04064 | 0.520319 | − | 0.853972i | \(-0.325813\pi\) | ||||
0.520319 | + | 0.853972i | \(0.325813\pi\) | |||||||
\(114\) | 11.3406 | + | 6.74963i | 1.06215 | + | 0.632161i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −15.0101 | + | 5.42852i | −1.39365 | + | 0.504025i | ||||
\(117\) | 0.263751 | + | 1.74456i | 0.0243838 | + | 0.161285i | ||||
\(118\) | −14.9834 | + | 2.62620i | −1.37933 | + | 0.241761i | ||||
\(119\) | −23.3679 | −2.14213 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.62620 | 0.693291 | ||||||||
\(122\) | −12.9241 | + | 2.26526i | −1.17009 | + | 0.205087i | ||||
\(123\) | −4.49731 | − | 3.86849i | −0.405508 | − | 0.348810i | ||||
\(124\) | −4.80612 | − | 13.2891i | −0.431603 | − | 1.19340i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 17.4775 | − | 5.86100i | 1.55702 | − | 0.522139i | ||||
\(127\) | 12.9552 | 1.14959 | 0.574796 | − | 0.818297i | \(-0.305081\pi\) | ||||
0.574796 | + | 0.818297i | \(0.305081\pi\) | |||||||
\(128\) | 10.6035 | + | 3.94542i | 0.937223 | + | 0.348730i | ||||
\(129\) | −3.89692 | − | 3.35205i | −0.343104 | − | 0.295131i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 2.98699i | − | 0.260974i | −0.991450 | − | 0.130487i | \(-0.958346\pi\) | ||
0.991450 | − | 0.130487i | \(-0.0416541\pi\) | |||||||
\(132\) | −5.94741 | − | 2.26140i | −0.517656 | − | 0.196830i | ||||
\(133\) | −23.4095 | −2.02986 | ||||||||
\(134\) | −5.76047 | + | 1.00966i | −0.497629 | + | 0.0872214i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 7.56550 | + | 13.1970i | 0.648736 | + | 1.13164i | ||||
\(137\) | −5.66820 | −0.484267 | −0.242133 | − | 0.970243i | \(-0.577847\pi\) | ||||
−0.242133 | + | 0.970243i | \(0.577847\pi\) | |||||||
\(138\) | −3.01774 | + | 5.07037i | −0.256887 | + | 0.431618i | ||||
\(139\) | 2.69075 | 0.228226 | 0.114113 | − | 0.993468i | \(-0.463597\pi\) | ||||
0.114113 | + | 0.993468i | \(0.463597\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.8884 | + | 11.0863i | 1.08540 | + | 0.933637i | ||||
\(142\) | 2.98455 | + | 17.0279i | 0.250458 | + | 1.42895i | ||||
\(143\) | 1.08027i | 0.0903367i | ||||||||
\(144\) | −8.96844 | − | 7.97290i | −0.747370 | − | 0.664408i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 6.15701 | − | 1.07916i | 0.509558 | − | 0.0893122i | ||||
\(147\) | −13.4169 | + | 15.5978i | −1.10661 | + | 1.28648i | ||||
\(148\) | −5.11722 | + | 1.85069i | −0.420633 | + | 0.152126i | ||||
\(149\) | 20.9591 | 1.71703 | 0.858517 | − | 0.512785i | \(-0.171386\pi\) | ||||
0.858517 | + | 0.512785i | \(0.171386\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 3.16869i | − | 0.257865i | −0.991653 | − | 0.128932i | \(-0.958845\pi\) | ||
0.991653 | − | 0.128932i | \(-0.0411550\pi\) | |||||||
\(152\) | 7.57896 | + | 13.2205i | 0.614735 | + | 1.07233i | ||||
\(153\) | −2.41189 | − | 15.9533i | −0.194990 | − | 1.28974i | ||||
\(154\) | 11.1170 | − | 1.94853i | 0.895836 | − | 0.157017i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.724086 | + | 1.90432i | −0.0579733 | + | 0.152468i | ||||
\(157\) | 11.9988 | 0.957611 | 0.478805 | − | 0.877921i | \(-0.341070\pi\) | ||||
0.478805 | + | 0.877921i | \(0.341070\pi\) | |||||||
\(158\) | 17.5334 | − | 3.07314i | 1.39488 | − | 0.244486i | ||||
\(159\) | 8.73498 | + | 7.51364i | 0.692729 | + | 0.595871i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 10.4663i | − | 0.824864i | ||||||
\(162\) | 5.80521 | + | 11.3269i | 0.456101 | + | 0.889928i | ||||
\(163\) | 13.1816i | 1.03246i | 0.856449 | + | 0.516231i | \(0.172665\pi\) | ||||
−0.856449 | + | 0.516231i | \(0.827335\pi\) | |||||||
\(164\) | −2.32965 | − | 6.44158i | −0.181915 | − | 0.503003i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.82226 | − | 16.1020i | −0.219050 | − | 1.24976i | ||||
\(167\) | − | 3.73744i | − | 0.289211i | −0.989489 | − | 0.144606i | \(-0.953809\pi\) | ||
0.989489 | − | 0.144606i | \(-0.0461914\pi\) | |||||||
\(168\) | 20.9034 | + | 4.01666i | 1.61273 | + | 0.309892i | ||||
\(169\) | −12.6541 | −0.973393 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.41618 | − | 15.9817i | −0.184770 | − | 1.22215i | ||||
\(172\) | −2.01865 | − | 5.58163i | −0.153920 | − | 0.425596i | ||||
\(173\) | − | 6.65218i | − | 0.505756i | −0.967498 | − | 0.252878i | \(-0.918623\pi\) | ||
0.967498 | − | 0.252878i | \(-0.0813772\pi\) | |||||||
\(174\) | 16.7986 | + | 9.99809i | 1.27350 | + | 0.757953i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −4.69963 | − | 5.64750i | −0.354248 | − | 0.425696i | ||||
\(177\) | 14.1242 | + | 12.1493i | 1.06164 | + | 0.913198i | ||||
\(178\) | 5.86754 | − | 1.02843i | 0.439791 | − | 0.0770839i | ||||
\(179\) | 18.4093i | 1.37598i | 0.725722 | + | 0.687988i | \(0.241506\pi\) | ||||
−0.725722 | + | 0.687988i | \(0.758494\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 19.5125i | 1.45035i | 0.688564 | + | 0.725175i | \(0.258241\pi\) | ||||
−0.688564 | + | 0.725175i | \(0.741759\pi\) | |||||||
\(182\) | −0.623906 | − | 3.55960i | −0.0462470 | − | 0.263855i | ||||
\(183\) | 12.1830 | + | 10.4795i | 0.900591 | + | 0.774670i | ||||
\(184\) | −5.91087 | + | 3.38854i | −0.435755 | + | 0.249806i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −8.85178 | + | 14.8726i | −0.649044 | + | 1.09051i | ||||
\(187\) | − | 9.87859i | − | 0.722394i | ||||||
\(188\) | 6.67633 | + | 18.4603i | 0.486921 | + | 1.34636i | ||||
\(189\) | −19.1246 | − | 11.9988i | −1.39111 | − | 0.872786i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.73498 | 0.632041 | 0.316020 | − | 0.948752i | \(-0.397653\pi\) | ||||
0.316020 | + | 0.948752i | \(0.397653\pi\) | |||||||
\(192\) | −4.49919 | − | 13.1056i | −0.324701 | − | 0.945817i | ||||
\(193\) | − | 1.47689i | − | 0.106309i | −0.998586 | − | 0.0531543i | \(-0.983072\pi\) | ||
0.998586 | − | 0.0531543i | \(-0.0169275\pi\) | |||||||
\(194\) | −3.01947 | + | 0.529235i | −0.216785 | + | 0.0379968i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −22.3410 | + | 8.07982i | −1.59579 | + | 0.577130i | ||||
\(197\) | 11.1438i | 0.793965i | 0.917826 | + | 0.396982i | \(0.129943\pi\) | ||||
−0.917826 | + | 0.396982i | \(0.870057\pi\) | |||||||
\(198\) | 2.47769 | + | 7.38847i | 0.176082 | + | 0.525076i | ||||
\(199\) | − | 2.80041i | − | 0.198516i | −0.995062 | − | 0.0992578i | \(-0.968353\pi\) | ||
0.995062 | − | 0.0992578i | \(-0.0316469\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 5.43014 | + | 4.67089i | 0.383012 | + | 0.329459i | ||||
\(202\) | 0.772271 | + | 4.40608i | 0.0543368 | + | 0.310011i | ||||
\(203\) | −34.6760 | −2.43378 | ||||||||
\(204\) | 6.62146 | − | 17.4142i | 0.463595 | − | 1.21924i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −3.07314 | − | 17.5334i | −0.214116 | − | 1.22161i | ||||
\(207\) | 7.14536 | − | 1.08027i | 0.496637 | − | 0.0750839i | ||||
\(208\) | −1.80829 | + | 1.50479i | −0.125383 | + | 0.104339i | ||||
\(209\) | − | 9.89618i | − | 0.684533i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.86464 | 0.679110 | 0.339555 | − | 0.940586i | \(-0.389724\pi\) | ||||
0.339555 | + | 0.940586i | \(0.389724\pi\) | |||||||
\(212\) | 4.52481 | + | 12.5113i | 0.310766 | + | 0.859279i | ||||
\(213\) | 13.8071 | − | 16.0515i | 0.946048 | − | 1.09983i | ||||
\(214\) | −0.925344 | − | 5.27941i | −0.0632552 | − | 0.360893i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.584647 | + | 14.6853i | −0.0397802 | + | 0.999208i | ||||
\(217\) | − | 30.7003i | − | 2.08407i | ||||||
\(218\) | −0.819251 | + | 0.143593i | −0.0554867 | + | 0.00972537i | ||||
\(219\) | −5.80394 | − | 4.99243i | −0.392194 | − | 0.337357i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.16306 | −0.212771 | ||||||||
\(222\) | 5.72698 | + | 3.40854i | 0.384370 | + | 0.228766i | ||||
\(223\) | 1.62415 | 0.108761 | 0.0543806 | − | 0.998520i | \(-0.482682\pi\) | ||||
0.0543806 | + | 0.998520i | \(0.482682\pi\) | |||||||
\(224\) | 18.7475 | + | 15.8949i | 1.25262 | + | 1.06202i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.70085 | − | 15.4093i | −0.179658 | − | 1.02501i | ||||
\(227\) | 4.94021 | 0.327893 | 0.163947 | − | 0.986469i | \(-0.447578\pi\) | ||||
0.163947 | + | 0.986469i | \(0.447578\pi\) | |||||||
\(228\) | 6.63324 | − | 17.4452i | 0.439297 | − | 1.15534i | ||||
\(229\) | − | 15.2471i | − | 1.00756i | −0.863832 | − | 0.503779i | \(-0.831942\pi\) | ||
0.863832 | − | 0.503779i | \(-0.168058\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −10.4795 | − | 9.01428i | −0.689503 | − | 0.593096i | ||||
\(232\) | 11.2266 | + | 19.5833i | 0.737060 | + | 1.28571i | ||||
\(233\) | −22.3000 | −1.46092 | −0.730460 | − | 0.682955i | \(-0.760694\pi\) | ||||
−0.730460 | + | 0.682955i | \(0.760694\pi\) | |||||||
\(234\) | 2.36574 | − | 0.793339i | 0.154653 | − | 0.0518622i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 7.31648 | + | 20.2303i | 0.476262 | + | 1.31688i | ||||
\(237\) | −16.5279 | − | 14.2170i | −1.07360 | − | 0.923492i | ||||
\(238\) | 5.70535 | + | 32.5510i | 0.369823 | + | 2.10997i | ||||
\(239\) | −14.8813 | −0.962589 | −0.481294 | − | 0.876559i | \(-0.659833\pi\) | ||||
−0.481294 | + | 0.876559i | \(0.659833\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.523114 | −0.0336968 | −0.0168484 | − | 0.999858i | \(-0.505363\pi\) | ||||
−0.0168484 | + | 0.999858i | \(0.505363\pi\) | |||||||
\(242\) | −1.86196 | − | 10.6231i | −0.119691 | − | 0.682881i | ||||
\(243\) | 6.21766 | − | 14.2948i | 0.398863 | − | 0.917010i | ||||
\(244\) | 6.31091 | + | 17.4499i | 0.404015 | + | 1.11712i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −4.29069 | + | 7.20915i | −0.273564 | + | 0.459639i | ||||
\(247\) | −3.16869 | −0.201619 | ||||||||
\(248\) | −17.3380 | + | 9.93940i | −1.10097 | + | 0.631153i | ||||
\(249\) | −13.0563 | + | 15.1786i | −0.827412 | + | 0.961906i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.82378i | 0.304474i | 0.988344 | + | 0.152237i | \(0.0486477\pi\) | ||||
−0.988344 | + | 0.152237i | \(0.951352\pi\) | |||||||
\(252\) | −12.4314 | − | 22.9148i | −0.783107 | − | 1.44350i | ||||
\(253\) | 4.42456 | 0.278170 | ||||||||
\(254\) | −3.16306 | − | 18.0464i | −0.198468 | − | 1.13233i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.90702 | − | 15.7337i | 0.181689 | − | 0.983356i | ||||
\(257\) | −22.8859 | −1.42758 | −0.713792 | − | 0.700358i | \(-0.753024\pi\) | ||||
−0.713792 | + | 0.700358i | \(0.753024\pi\) | |||||||
\(258\) | −3.71788 | + | 6.24673i | −0.231465 | + | 0.388905i | ||||
\(259\) | −11.8217 | −0.734567 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.57904 | − | 23.6733i | −0.221537 | − | 1.46534i | ||||
\(262\) | −4.16081 | + | 0.729282i | −0.257056 | + | 0.0450552i | ||||
\(263\) | − | 13.5527i | − | 0.835694i | −0.908517 | − | 0.417847i | \(-0.862785\pi\) | ||
0.908517 | − | 0.417847i | \(-0.137215\pi\) | |||||||
\(264\) | −1.69801 | + | 8.83674i | −0.104505 | + | 0.543864i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 5.71551 | + | 32.6090i | 0.350440 | + | 1.99938i | ||||
\(267\) | −5.53107 | − | 4.75771i | −0.338496 | − | 0.291167i | ||||
\(268\) | 2.81287 | + | 7.77769i | 0.171823 | + | 0.475098i | ||||
\(269\) | 12.9783 | 0.791301 | 0.395651 | − | 0.918401i | \(-0.370519\pi\) | ||||
0.395651 | + | 0.918401i | \(0.370519\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(272\) | 16.5361 | − | 13.7607i | 1.00265 | − | 0.834363i | ||||
\(273\) | −2.88631 | + | 3.35548i | −0.174688 | + | 0.203083i | ||||
\(274\) | 1.38391 | + | 7.89568i | 0.0836049 | + | 0.476995i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 7.79971 | + | 2.96571i | 0.469487 | + | 0.178515i | ||||
\(277\) | −16.7917 | −1.00891 | −0.504457 | − | 0.863437i | \(-0.668307\pi\) | ||||
−0.504457 | + | 0.863437i | \(0.668307\pi\) | |||||||
\(278\) | −0.656955 | − | 3.74816i | −0.0394015 | − | 0.224799i | ||||
\(279\) | 20.9591 | − | 3.16869i | 1.25479 | − | 0.189705i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 11.0464i | − | 0.658972i | −0.944161 | − | 0.329486i | \(-0.893125\pi\) | ||
0.944161 | − | 0.329486i | \(-0.106875\pi\) | |||||||
\(282\) | 12.2963 | − | 20.6600i | 0.732232 | − | 1.23029i | ||||
\(283\) | − | 18.7047i | − | 1.11188i | −0.831223 | − | 0.555940i | \(-0.812359\pi\) | ||
0.831223 | − | 0.555940i | \(-0.187641\pi\) | |||||||
\(284\) | 22.9908 | − | 8.31483i | 1.36425 | − | 0.493394i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.50479 | − | 0.263751i | 0.0889802 | − | 0.0155959i | ||||
\(287\) | − | 14.8813i | − | 0.878413i | ||||||
\(288\) | −8.91640 | + | 14.4395i | −0.525404 | + | 0.850853i | ||||
\(289\) | 11.9248 | 0.701460 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.84632 | + | 2.44834i | 0.166854 | + | 0.143524i | ||||
\(292\) | −3.00650 | − | 8.31310i | −0.175942 | − | 0.486487i | ||||
\(293\) | 29.4457i | 1.72024i | 0.510093 | + | 0.860119i | \(0.329611\pi\) | ||||
−0.510093 | + | 0.860119i | \(0.670389\pi\) | |||||||
\(294\) | 25.0031 | + | 14.8812i | 1.45821 | + | 0.867888i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 3.82735 | + | 6.67633i | 0.222460 | + | 0.388054i | ||||
\(297\) | 5.07240 | − | 8.08476i | 0.294331 | − | 0.469125i | ||||
\(298\) | −5.11722 | − | 29.1955i | −0.296433 | − | 1.69125i | ||||
\(299\) | − | 1.41672i | − | 0.0819308i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 12.8946i | − | 0.743233i | ||||||
\(302\) | −4.41392 | + | 0.773646i | −0.253993 | + | 0.0445183i | ||||
\(303\) | 3.57268 | − | 4.15341i | 0.205245 | − | 0.238607i | ||||
\(304\) | 16.5655 | − | 13.7852i | 0.950096 | − | 0.790634i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −21.6337 | + | 7.25474i | −1.23671 | + | 0.414726i | ||||
\(307\) | − | 33.2095i | − | 1.89537i | −0.319213 | − | 0.947683i | \(-0.603419\pi\) | ||
0.319213 | − | 0.947683i | \(-0.396581\pi\) | |||||||
\(308\) | −5.42852 | − | 15.0101i | −0.309318 | − | 0.855277i | ||||
\(309\) | −14.2170 | + | 16.5279i | −0.808775 | + | 0.940241i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 25.7768 | 1.46167 | 0.730834 | − | 0.682556i | \(-0.239132\pi\) | ||||
0.730834 | + | 0.682556i | \(0.239132\pi\) | |||||||
\(312\) | 2.82947 | + | 0.543691i | 0.160187 | + | 0.0307804i | ||||
\(313\) | − | 9.65410i | − | 0.545682i | −0.962059 | − | 0.272841i | \(-0.912037\pi\) | ||
0.962059 | − | 0.272841i | \(-0.0879633\pi\) | |||||||
\(314\) | −2.92955 | − | 16.7141i | −0.165324 | − | 0.943232i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.56165 | − | 23.6733i | −0.481630 | − | 1.33173i | ||||
\(317\) | − | 4.81770i | − | 0.270589i | −0.990805 | − | 0.135295i | \(-0.956802\pi\) | ||
0.990805 | − | 0.135295i | \(-0.0431981\pi\) | |||||||
\(318\) | 8.33367 | − | 14.0021i | 0.467329 | − | 0.785200i | ||||
\(319\) | − | 14.6590i | − | 0.820747i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.28082 | + | 4.97667i | −0.238932 | + | 0.277770i | ||||
\(322\) | −14.5794 | + | 2.55539i | −0.812478 | + | 0.142406i | ||||
\(323\) | 28.9763 | 1.61229 | ||||||||
\(324\) | 14.3608 | − | 10.8520i | 0.797823 | − | 0.602891i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 18.3617 | − | 3.21832i | 1.01696 | − | 0.178247i | ||||
\(327\) | 0.772271 | + | 0.664291i | 0.0427067 | + | 0.0367354i | ||||
\(328\) | −8.40420 | + | 4.81789i | −0.464044 | + | 0.266024i | ||||
\(329\) | 42.6468i | 2.35119i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.37380 | −0.0755110 | −0.0377555 | − | 0.999287i | \(-0.512021\pi\) | ||||
−0.0377555 | + | 0.999287i | \(0.512021\pi\) | |||||||
\(332\) | −21.7407 | + | 7.86270i | −1.19317 | + | 0.431521i | ||||
\(333\) | −1.22016 | − | 8.07068i | −0.0668646 | − | 0.442271i | ||||
\(334\) | −5.20617 | + | 0.912506i | −0.284869 | + | 0.0499301i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.491482 | − | 30.0987i | 0.0268126 | − | 1.64202i | ||||
\(337\) | 13.0925i | 0.713192i | 0.934259 | + | 0.356596i | \(0.116063\pi\) | ||||
−0.934259 | + | 0.356596i | \(0.883937\pi\) | |||||||
\(338\) | 3.08954 | + | 17.6269i | 0.168049 | + | 0.958777i | ||||
\(339\) | −12.4947 | + | 14.5257i | −0.678618 | + | 0.788927i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.9783 | 0.702815 | ||||||||
\(342\) | −21.6722 | + | 7.26766i | −1.17190 | + | 0.392990i | ||||
\(343\) | −21.1972 | −1.14454 | ||||||||
\(344\) | −7.28224 | + | 4.17470i | −0.392632 | + | 0.225085i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.26635 | + | 1.62415i | −0.498162 | + | 0.0873149i | ||||
\(347\) | 3.97936 | 0.213623 | 0.106812 | − | 0.994279i | \(-0.465936\pi\) | ||||
0.106812 | + | 0.994279i | \(0.465936\pi\) | |||||||
\(348\) | 9.82568 | − | 25.8412i | 0.526712 | − | 1.38523i | ||||
\(349\) | 12.5870i | 0.673764i | 0.941547 | + | 0.336882i | \(0.109372\pi\) | ||||
−0.941547 | + | 0.336882i | \(0.890628\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.58869 | − | 1.62415i | −0.138174 | − | 0.0866908i | ||||
\(352\) | −6.71942 | + | 7.92534i | −0.358146 | + | 0.422422i | ||||
\(353\) | 0.787269 | 0.0419021 | 0.0209510 | − | 0.999781i | \(-0.493331\pi\) | ||||
0.0209510 | + | 0.999781i | \(0.493331\pi\) | |||||||
\(354\) | 13.4753 | − | 22.6410i | 0.716203 | − | 1.20335i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −2.86515 | − | 7.92226i | −0.151853 | − | 0.419879i | ||||
\(357\) | 26.3941 | − | 30.6844i | 1.39692 | − | 1.62399i | ||||
\(358\) | 25.6438 | − | 4.49469i | 1.35531 | − | 0.237552i | ||||
\(359\) | 1.08027 | 0.0570144 | 0.0285072 | − | 0.999594i | \(-0.490925\pi\) | ||||
0.0285072 | + | 0.999594i | \(0.490925\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.0279 | 0.527785 | ||||||||
\(362\) | 27.1805 | − | 4.76403i | 1.42857 | − | 0.250392i | ||||
\(363\) | −8.61379 | + | 10.0140i | −0.452107 | + | 0.525596i | ||||
\(364\) | −4.80612 | + | 1.73818i | −0.251909 | + | 0.0911052i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 11.6233 | − | 19.5292i | 0.607558 | − | 1.02081i | ||||
\(367\) | −14.5794 | −0.761038 | −0.380519 | − | 0.924773i | \(-0.624255\pi\) | ||||
−0.380519 | + | 0.924773i | \(0.624255\pi\) | |||||||
\(368\) | 6.16332 | + | 7.40639i | 0.321285 | + | 0.386085i | ||||
\(369\) | 10.1594 | − | 1.53595i | 0.528878 | − | 0.0799583i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 28.9034i | 1.50059i | ||||||||
\(372\) | 22.8784 | + | 8.69914i | 1.18619 | + | 0.451029i | ||||
\(373\) | 31.5719 | 1.63473 | 0.817366 | − | 0.576118i | \(-0.195433\pi\) | ||||
0.817366 | + | 0.576118i | \(0.195433\pi\) | |||||||
\(374\) | −13.7607 | + | 2.41189i | −0.711547 | + | 0.124716i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 24.0848 | − | 13.8071i | 1.24208 | − | 0.712048i | ||||
\(377\) | −4.69372 | −0.241739 | ||||||||
\(378\) | −12.0448 | + | 29.5697i | −0.619517 | + | 1.52090i | ||||
\(379\) | −4.61224 | −0.236915 | −0.118458 | − | 0.992959i | \(-0.537795\pi\) | ||||
−0.118458 | + | 0.992959i | \(0.537795\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −14.6330 | + | 17.0115i | −0.749669 | + | 0.871526i | ||||
\(382\) | −2.13267 | − | 12.1676i | −0.109117 | − | 0.622550i | ||||
\(383\) | − | 14.6330i | − | 0.747709i | −0.927487 | − | 0.373854i | \(-0.878036\pi\) | ||
0.927487 | − | 0.373854i | \(-0.121964\pi\) | |||||||
\(384\) | −17.1574 | + | 9.46705i | −0.875558 | + | 0.483113i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.05727 | + | 0.360586i | −0.104712 | + | 0.0183533i | ||||
\(387\) | 8.80314 | − | 1.33090i | 0.447489 | − | 0.0676535i | ||||
\(388\) | 1.47442 | + | 4.07684i | 0.0748526 | + | 0.206970i | ||||
\(389\) | −15.1388 | −0.767570 | −0.383785 | − | 0.923422i | \(-0.625380\pi\) | ||||
−0.383785 | + | 0.923422i | \(0.625380\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 12.9552i | 0.655175i | ||||||||
\(392\) | 16.7096 | + | 29.1478i | 0.843964 | + | 1.47219i | ||||
\(393\) | 3.92221 | + | 3.37380i | 0.197849 | + | 0.170186i | ||||
\(394\) | 15.5231 | − | 2.72080i | 0.782043 | − | 0.137072i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 9.68705 | − | 5.25528i | 0.486792 | − | 0.264088i | ||||
\(397\) | 18.3362 | 0.920268 | 0.460134 | − | 0.887849i | \(-0.347801\pi\) | ||||
0.460134 | + | 0.887849i | \(0.347801\pi\) | |||||||
\(398\) | −3.90091 | + | 0.683728i | −0.195535 | + | 0.0342722i | ||||
\(399\) | 26.4411 | − | 30.7390i | 1.32371 | − | 1.53888i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 34.2381i | 1.70977i | 0.518820 | + | 0.854884i | \(0.326372\pi\) | ||||
−0.518820 | + | 0.854884i | \(0.673628\pi\) | |||||||
\(402\) | 5.18066 | − | 8.70447i | 0.258388 | − | 0.434140i | ||||
\(403\) | − | 4.15557i | − | 0.207004i | ||||||
\(404\) | 5.94902 | − | 2.15151i | 0.295975 | − | 0.107042i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 8.46626 | + | 48.3030i | 0.420173 | + | 2.39724i | ||||
\(407\) | − | 4.99754i | − | 0.247719i | ||||||
\(408\) | −25.8742 | − | 4.97182i | −1.28097 | − | 0.246142i | ||||
\(409\) | −18.6926 | −0.924291 | −0.462146 | − | 0.886804i | \(-0.652920\pi\) | ||||
−0.462146 | + | 0.886804i | \(0.652920\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.40223 | − | 7.44290i | 0.315799 | − | 0.367131i | ||||
\(412\) | −23.6733 | + | 8.56165i | −1.16630 | + | 0.421802i | ||||
\(413\) | 46.7359i | 2.29972i | ||||||||
\(414\) | −3.24935 | − | 9.68958i | −0.159697 | − | 0.476217i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 2.53764 | + | 2.15151i | 0.124418 | + | 0.105487i | ||||
\(417\) | −3.03920 | + | 3.53322i | −0.148830 | + | 0.173023i | ||||
\(418\) | −13.7852 | + | 2.41618i | −0.674255 | + | 0.118179i | ||||
\(419\) | − | 5.24599i | − | 0.256283i | −0.991756 | − | 0.128142i | \(-0.959099\pi\) | ||
0.991756 | − | 0.128142i | \(-0.0409012\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.42456i | 0.215640i | 0.994170 | + | 0.107820i | \(0.0343870\pi\) | ||||
−0.994170 | + | 0.107820i | \(0.965613\pi\) | |||||||
\(422\) | −2.40848 | − | 13.7412i | −0.117243 | − | 0.668913i | ||||
\(423\) | −29.1149 | + | 4.40173i | −1.41561 | + | 0.214019i | ||||
\(424\) | 16.3232 | − | 9.35764i | 0.792725 | − | 0.454447i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −25.7304 | − | 15.3140i | −1.24664 | − | 0.741966i | ||||
\(427\) | 40.3126i | 1.95086i | ||||||||
\(428\) | −7.12818 | + | 2.57797i | −0.344554 | + | 0.124611i | ||||
\(429\) | −1.41850 | − | 1.22016i | −0.0684859 | − | 0.0589101i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 5.89797 | 0.284095 | 0.142048 | − | 0.989860i | \(-0.454631\pi\) | ||||
0.142048 | + | 0.989860i | \(0.454631\pi\) | |||||||
\(432\) | 20.5991 | − | 2.77106i | 0.991073 | − | 0.133323i | ||||
\(433\) | 32.2158i | 1.54819i | 0.633069 | + | 0.774095i | \(0.281795\pi\) | ||||
−0.633069 | + | 0.774095i | \(0.718205\pi\) | |||||||
\(434\) | −42.7649 | + | 7.49558i | −2.05278 | + | 0.359799i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.400045 | + | 1.10614i | 0.0191587 | + | 0.0529745i | ||||
\(437\) | 12.9783i | 0.620837i | ||||||||
\(438\) | −5.53729 | + | 9.30368i | −0.264582 | + | 0.444547i | ||||
\(439\) | − | 2.27291i | − | 0.108480i | −0.998528 | − | 0.0542399i | \(-0.982726\pi\) | ||
0.998528 | − | 0.0542399i | \(-0.0172736\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.32705 | − | 35.2354i | −0.253669 | − | 1.67787i | ||||
\(442\) | 0.772271 | + | 4.40608i | 0.0367332 | + | 0.209576i | ||||
\(443\) | 4.59091 | 0.218121 | 0.109060 | − | 0.994035i | \(-0.465216\pi\) | ||||
0.109060 | + | 0.994035i | \(0.465216\pi\) | |||||||
\(444\) | 3.34977 | − | 8.80977i | 0.158973 | − | 0.418093i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −0.396541 | − | 2.26241i | −0.0187768 | − | 0.107128i | ||||
\(447\) | −23.6733 | + | 27.5213i | −1.11971 | + | 1.30171i | ||||
\(448\) | 17.5639 | − | 29.9956i | 0.829818 | − | 1.41716i | ||||
\(449\) | − | 39.0461i | − | 1.84270i | −0.388736 | − | 0.921349i | \(-0.627088\pi\) | ||
0.388736 | − | 0.921349i | \(-0.372912\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.29093 | 0.296228 | ||||||||
\(452\) | −20.8054 | + | 7.52446i | −0.978605 | + | 0.353921i | ||||
\(453\) | 4.16081 | + | 3.57904i | 0.195492 | + | 0.168158i | ||||
\(454\) | −1.20617 | − | 6.88161i | −0.0566082 | − | 0.322970i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −25.9203 | − | 4.98067i | −1.21383 | − | 0.233241i | ||||
\(457\) | 4.96147i | 0.232088i | 0.993244 | + | 0.116044i | \(0.0370213\pi\) | ||||
−0.993244 | + | 0.116044i | \(0.962979\pi\) | |||||||
\(458\) | −21.2389 | + | 3.72263i | −0.992430 | + | 0.173947i | ||||
\(459\) | 23.6724 | + | 14.8522i | 1.10493 | + | 0.693239i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −14.1271 | −0.657963 | −0.328981 | − | 0.944336i | \(-0.606705\pi\) | ||||
−0.328981 | + | 0.944336i | \(0.606705\pi\) | |||||||
\(462\) | −9.99809 | + | 16.7986i | −0.465153 | + | 0.781543i | ||||
\(463\) | −14.2907 | −0.664146 | −0.332073 | − | 0.943254i | \(-0.607748\pi\) | ||||
−0.332073 | + | 0.943254i | \(0.607748\pi\) | |||||||
\(464\) | 24.5381 | − | 20.4197i | 1.13915 | − | 0.947960i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 5.44461 | + | 31.0634i | 0.252217 | + | 1.43898i | ||||
\(467\) | −31.8469 | −1.47370 | −0.736849 | − | 0.676058i | \(-0.763687\pi\) | ||||
−0.736849 | + | 0.676058i | \(0.763687\pi\) | |||||||
\(468\) | −1.68271 | − | 3.10173i | −0.0777832 | − | 0.143377i | ||||
\(469\) | 17.9679i | 0.829682i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −13.5527 | + | 15.7557i | −0.624475 | + | 0.725982i | ||||
\(472\) | 26.3941 | − | 15.1310i | 1.21489 | − | 0.696460i | ||||
\(473\) | 5.45109 | 0.250641 | ||||||||
\(474\) | −15.7686 | + | 26.4942i | −0.724276 | + | 1.21692i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 43.9499 | − | 15.8949i | 2.01444 | − | 0.728540i | ||||
\(477\) | −19.7323 | + | 2.98323i | −0.903481 | + | 0.136593i | ||||
\(478\) | 3.63331 | + | 20.7293i | 0.166184 | + | 0.948135i | ||||
\(479\) | −25.9566 | −1.18599 | −0.592994 | − | 0.805207i | \(-0.702054\pi\) | ||||
−0.592994 | + | 0.805207i | \(0.702054\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.60018 | −0.0729619 | ||||||||
\(482\) | 0.127720 | + | 0.728687i | 0.00581748 | + | 0.0331908i | ||||
\(483\) | 13.7433 | + | 11.8217i | 0.625344 | + | 0.537908i | ||||
\(484\) | −14.3432 | + | 5.18734i | −0.651963 | + | 0.235788i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −21.4304 | − | 5.17096i | −0.972102 | − | 0.234560i | ||||
\(487\) | 24.4456 | 1.10773 | 0.553867 | − | 0.832605i | \(-0.313152\pi\) | ||||
0.553867 | + | 0.832605i | \(0.313152\pi\) | |||||||
\(488\) | 22.7665 | − | 13.0514i | 1.03059 | − | 0.590810i | ||||
\(489\) | −17.3087 | − | 14.8886i | −0.782728 | − | 0.673286i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 37.6630i | − | 1.69971i | −0.527018 | − | 0.849854i | \(-0.676690\pi\) | ||
0.527018 | − | 0.849854i | \(-0.323310\pi\) | |||||||
\(492\) | 11.0898 | + | 4.21670i | 0.499966 | + | 0.190104i | ||||
\(493\) | 42.9220 | 1.93311 | ||||||||
\(494\) | 0.773646 | + | 4.41392i | 0.0348080 | + | 0.198592i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 18.0785 | + | 21.7248i | 0.811749 | + | 0.975470i | ||||
\(497\) | 53.1131 | 2.38245 | ||||||||
\(498\) | 24.3312 | + | 14.4813i | 1.09031 | + | 0.648922i | ||||
\(499\) | 36.7249 | 1.64403 | 0.822016 | − | 0.569464i | \(-0.192849\pi\) | ||||
0.822016 | + | 0.569464i | \(0.192849\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.90762 | + | 4.22143i | 0.219256 | + | 0.188600i | ||||
\(502\) | 6.71942 | − | 1.17774i | 0.299902 | − | 0.0525651i | ||||
\(503\) | − | 29.5142i | − | 1.31597i | −0.753029 | − | 0.657987i | \(-0.771408\pi\) | ||
0.753029 | − | 0.657987i | \(-0.228592\pi\) | |||||||
\(504\) | −28.8847 | + | 22.9114i | −1.28663 | + | 1.02056i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −1.08027 | − | 6.16332i | −0.0480238 | − | 0.273993i | ||||
\(507\) | 14.2928 | − | 16.6161i | 0.634766 | − | 0.737947i | ||||
\(508\) | −24.3659 | + | 8.81215i | −1.08106 | + | 0.390976i | ||||
\(509\) | −2.16054 | −0.0957642 | −0.0478821 | − | 0.998853i | \(-0.515247\pi\) | ||||
−0.0478821 | + | 0.998853i | \(0.515247\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 19.2048i | − | 0.849571i | ||||||
\(512\) | −22.6265 | − | 0.207989i | −0.999958 | − | 0.00919190i | ||||
\(513\) | 23.7146 | + | 14.8786i | 1.04702 | + | 0.656906i | ||||
\(514\) | 5.58767 | + | 31.8796i | 0.246461 | + | 1.40615i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 9.60930 | + | 3.65377i | 0.423026 | + | 0.160848i | ||||
\(517\) | −18.0286 | −0.792895 | ||||||||
\(518\) | 2.88631 | + | 16.4674i | 0.126817 | + | 0.723537i | ||||
\(519\) | 8.73498 | + | 7.51364i | 0.383423 | + | 0.329812i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 9.39893i | − | 0.411775i | −0.978576 | − | 0.205887i | \(-0.933992\pi\) | ||
0.978576 | − | 0.205887i | \(-0.0660080\pi\) | |||||||
\(522\) | −32.1025 | + | 10.7654i | −1.40509 | + | 0.471190i | ||||
\(523\) | 9.68638i | 0.423556i | 0.977318 | + | 0.211778i | \(0.0679253\pi\) | ||||
−0.977318 | + | 0.211778i | \(0.932075\pi\) | |||||||
\(524\) | 2.03175 | + | 5.61786i | 0.0887573 | + | 0.245417i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −18.8786 | + | 3.30893i | −0.823146 | + | 0.144276i | ||||
\(527\) | 38.0009i | 1.65534i | ||||||||
\(528\) | 12.7240 | + | 0.207770i | 0.553740 | + | 0.00904203i | ||||
\(529\) | 17.1974 | 0.747714 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −31.9065 | + | 4.82378i | −1.38462 | + | 0.209334i | ||||
\(532\) | 44.0281 | − | 15.9232i | 1.90886 | − | 0.690357i | ||||
\(533\) | − | 2.01431i | − | 0.0872497i | ||||||
\(534\) | −5.27696 | + | 8.86627i | −0.228356 | + | 0.383681i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 10.1474 | − | 5.81722i | 0.438301 | − | 0.251265i | ||||
\(537\) | −24.1732 | − | 20.7933i | −1.04315 | − | 0.897298i | ||||
\(538\) | −3.16869 | − | 18.0785i | −0.136612 | − | 0.779420i | ||||
\(539\) | − | 21.8185i | − | 0.939789i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 13.1751i | − | 0.566441i | −0.959055 | − | 0.283221i | \(-0.908597\pi\) | ||
0.959055 | − | 0.283221i | \(-0.0914029\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −25.6218 | − | 22.0393i | −1.09954 | − | 0.945799i | ||||
\(544\) | −23.2056 | − | 19.6747i | −0.994934 | − | 0.843544i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 5.37881 | + | 3.20132i | 0.230192 | + | 0.137004i | ||||
\(547\) | 28.4113i | 1.21478i | 0.794404 | + | 0.607390i | \(0.207783\pi\) | ||||
−0.794404 | + | 0.607390i | \(0.792217\pi\) | |||||||
\(548\) | 10.6606 | − | 3.85551i | 0.455399 | − | 0.164699i | ||||
\(549\) | −27.5213 | + | 4.16081i | −1.17458 | + | 0.177579i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 42.9984 | 1.83179 | ||||||||
\(552\) | 2.22684 | − | 11.5889i | 0.0947808 | − | 0.493257i | ||||
\(553\) | − | 54.6897i | − | 2.32564i | ||||||
\(554\) | 4.09974 | + | 23.3904i | 0.174181 | + | 0.993765i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −5.06070 | + | 1.83025i | −0.214622 | + | 0.0776198i | ||||
\(557\) | 32.1029i | 1.36024i | 0.733099 | + | 0.680122i | \(0.238073\pi\) | ||||
−0.733099 | + | 0.680122i | \(0.761927\pi\) | |||||||
\(558\) | −9.53114 | − | 28.4219i | −0.403485 | − | 1.20319i | ||||
\(559\) | − | 1.74540i | − | 0.0738227i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12.9716 | + | 11.1579i | 0.547660 | + | 0.471086i | ||||
\(562\) | −15.3874 | + | 2.69701i | −0.649077 | + | 0.113766i | ||||
\(563\) | −14.2406 | −0.600170 | −0.300085 | − | 0.953913i | \(-0.597015\pi\) | ||||
−0.300085 | + | 0.953913i | \(0.597015\pi\) | |||||||
\(564\) | −31.7811 | − | 12.0842i | −1.33823 | − | 0.508838i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −26.0552 | + | 4.56681i | −1.09518 | + | 0.191957i | ||||
\(567\) | 37.3569 | − | 11.5598i | 1.56884 | − | 0.485466i | ||||
\(568\) | −17.1957 | − | 29.9956i | −0.721514 | − | 1.25859i | ||||
\(569\) | − | 9.08328i | − | 0.380791i | −0.981707 | − | 0.190396i | \(-0.939023\pi\) | ||
0.981707 | − | 0.190396i | \(-0.0609770\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.7432 | −0.658834 | −0.329417 | − | 0.944185i | \(-0.606852\pi\) | ||||
−0.329417 | + | 0.944185i | \(0.606852\pi\) | |||||||
\(572\) | −0.734799 | − | 2.03175i | −0.0307235 | − | 0.0849516i | ||||
\(573\) | −9.86616 | + | 11.4699i | −0.412165 | + | 0.479161i | ||||
\(574\) | −20.7293 | + | 3.63331i | −0.865224 | + | 0.151651i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 22.2908 | + | 8.89492i | 0.928784 | + | 0.370622i | ||||
\(577\) | 33.1974i | 1.38203i | 0.722842 | + | 0.691014i | \(0.242836\pi\) | ||||
−0.722842 | + | 0.691014i | \(0.757164\pi\) | |||||||
\(578\) | −2.91148 | − | 16.6110i | −0.121102 | − | 0.690927i | ||||
\(579\) | 1.93930 | + | 1.66814i | 0.0805944 | + | 0.0693256i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −50.2250 | −2.08368 | ||||||||
\(582\) | 2.71555 | − | 4.56263i | 0.112563 | − | 0.189127i | ||||
\(583\) | −12.2187 | −0.506046 | ||||||||
\(584\) | −10.8459 | + | 6.21766i | −0.448807 | + | 0.257289i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 41.0173 | − | 7.18927i | 1.69441 | − | 0.296986i | ||||
\(587\) | 0.613686 | 0.0253295 | 0.0126648 | − | 0.999920i | \(-0.495969\pi\) | ||||
0.0126648 | + | 0.999920i | \(0.495969\pi\) | |||||||
\(588\) | 14.6246 | − | 38.4621i | 0.603107 | − | 1.58615i | ||||
\(589\) | 38.0685i | 1.56859i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −14.6330 | − | 12.5870i | −0.601919 | − | 0.517758i | ||||
\(592\) | 8.36552 | − | 6.96147i | 0.343821 | − | 0.286115i | ||||
\(593\) | −15.5545 | −0.638747 | −0.319374 | − | 0.947629i | \(-0.603472\pi\) | ||||
−0.319374 | + | 0.947629i | \(0.603472\pi\) | |||||||
\(594\) | −12.5003 | − | 5.09183i | −0.512895 | − | 0.208920i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −39.4194 | + | 14.2564i | −1.61468 | + | 0.583963i | ||||
\(597\) | 3.67721 | + | 3.16306i | 0.150498 | + | 0.129456i | ||||
\(598\) | −1.97345 | + | 0.345895i | −0.0807005 | + | 0.0141447i | ||||
\(599\) | 39.0811 | 1.59681 | 0.798406 | − | 0.602119i | \(-0.205677\pi\) | ||||
0.798406 | + | 0.602119i | \(0.205677\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −20.5231 | −0.837155 | −0.418578 | − | 0.908181i | \(-0.637471\pi\) | ||||
−0.418578 | + | 0.908181i | \(0.637471\pi\) | |||||||
\(602\) | −17.9619 | + | 3.14826i | −0.732073 | + | 0.128313i | ||||
\(603\) | −12.2667 | + | 1.85454i | −0.499538 | + | 0.0755225i | ||||
\(604\) | 2.15534 | + | 5.95961i | 0.0876997 | + | 0.242493i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −6.65790 | − | 3.96260i | −0.270459 | − | 0.160970i | ||||
\(607\) | −10.8832 | −0.441735 | −0.220868 | − | 0.975304i | \(-0.570889\pi\) | ||||
−0.220868 | + | 0.975304i | \(0.570889\pi\) | |||||||
\(608\) | −23.2470 | − | 19.7097i | −0.942789 | − | 0.799333i | ||||
\(609\) | 39.1666 | − | 45.5331i | 1.58711 | − | 1.84509i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.77263i | 0.233535i | ||||||||
\(612\) | 15.3876 | + | 28.3640i | 0.622008 | + | 1.14655i | ||||
\(613\) | −30.3350 | −1.22522 | −0.612610 | − | 0.790385i | \(-0.709881\pi\) | ||||
−0.612610 | + | 0.790385i | \(0.709881\pi\) | |||||||
\(614\) | −46.2601 | + | 8.10820i | −1.86691 | + | 0.327220i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −19.5833 | + | 11.2266i | −0.789033 | + | 0.452331i | ||||
\(617\) | −8.71447 | −0.350831 | −0.175416 | − | 0.984494i | \(-0.556127\pi\) | ||||
−0.175416 | + | 0.984494i | \(0.556127\pi\) | |||||||
\(618\) | 26.4942 | + | 15.7686i | 1.06575 | + | 0.634306i | ||||
\(619\) | −13.0323 | −0.523811 | −0.261906 | − | 0.965093i | \(-0.584351\pi\) | ||||
−0.261906 | + | 0.965093i | \(0.584351\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −6.65218 | + | 10.6027i | −0.266943 | + | 0.425473i | ||||
\(622\) | −6.29348 | − | 35.9065i | −0.252346 | − | 1.43972i | ||||
\(623\) | − | 18.3019i | − | 0.733250i | ||||||
\(624\) | 0.0665266 | − | 4.07413i | 0.00266320 | − | 0.163096i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −13.4480 | + | 2.35708i | −0.537489 | + | 0.0942078i | ||||
\(627\) | 12.9947 | + | 11.1777i | 0.518957 | + | 0.446396i | ||||
\(628\) | −22.5671 | + | 8.16160i | −0.900527 | + | 0.325683i | ||||
\(629\) | 14.6330 | 0.583454 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 14.8599i | − | 0.591562i | −0.955256 | − | 0.295781i | \(-0.904420\pi\) | ||
0.955256 | − | 0.295781i | \(-0.0955798\pi\) | |||||||
\(632\) | −30.8860 | + | 17.7061i | −1.22858 | + | 0.704311i | ||||
\(633\) | −11.1421 | + | 12.9533i | −0.442859 | + | 0.514845i | ||||
\(634\) | −6.71096 | + | 1.17626i | −0.266526 | + | 0.0467151i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −21.5393 | − | 8.18997i | −0.854090 | − | 0.324753i | ||||
\(637\) | −6.98614 | −0.276801 | ||||||||
\(638\) | −20.4197 | + | 3.57904i | −0.808423 | + | 0.141696i | ||||
\(639\) | 5.48200 | + | 36.2602i | 0.216864 | + | 1.43443i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5.97397i | 0.235958i | 0.993016 | + | 0.117979i | \(0.0376415\pi\) | ||||
−0.993016 | + | 0.117979i | \(0.962358\pi\) | |||||||
\(642\) | 7.97756 | + | 4.74803i | 0.314849 | + | 0.187390i | ||||
\(643\) | − | 15.7938i | − | 0.622848i | −0.950271 | − | 0.311424i | \(-0.899194\pi\) | ||
0.950271 | − | 0.311424i | \(-0.100806\pi\) | |||||||
\(644\) | 7.11921 | + | 19.6849i | 0.280536 | + | 0.775693i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.07466 | − | 40.3634i | −0.278349 | − | 1.58808i | ||||
\(647\) | − | 14.8128i | − | 0.582351i | −0.956670 | − | 0.291175i | \(-0.905954\pi\) | ||
0.956670 | − | 0.291175i | \(-0.0940463\pi\) | |||||||
\(648\) | −18.6229 | − | 17.3548i | −0.731577 | − | 0.681759i | ||||
\(649\) | −19.7572 | −0.775537 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 40.3126 | + | 34.6760i | 1.57997 | + | 1.35906i | ||||
\(652\) | −8.96611 | − | 24.7916i | −0.351140 | − | 0.970916i | ||||
\(653\) | 3.48912i | 0.136540i | 0.997667 | + | 0.0682699i | \(0.0217479\pi\) | ||||
−0.997667 | + | 0.0682699i | \(0.978252\pi\) | |||||||
\(654\) | 0.736791 | − | 1.23795i | 0.0288108 | − | 0.0484075i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 8.76313 | + | 10.5306i | 0.342143 | + | 0.411149i | ||||
\(657\) | 13.1111 | − | 1.98220i | 0.511513 | − | 0.0773329i | ||||
\(658\) | 59.4060 | − | 10.4123i | 2.31589 | − | 0.405915i | ||||
\(659\) | − | 36.5563i | − | 1.42403i | −0.702163 | − | 0.712017i | \(-0.747782\pi\) | ||
0.702163 | − | 0.712017i | \(-0.252218\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 42.9220i | 1.66947i | 0.550650 | + | 0.834736i | \(0.314380\pi\) | ||||
−0.550650 | + | 0.834736i | \(0.685620\pi\) | |||||||
\(662\) | 0.335418 | + | 1.91368i | 0.0130364 | + | 0.0743772i | ||||
\(663\) | 3.57268 | − | 4.15341i | 0.138751 | − | 0.161305i | ||||
\(664\) | 16.2606 | + | 28.3646i | 0.631034 | + | 1.10076i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −10.9444 | + | 3.67015i | −0.424086 | + | 0.142215i | ||||
\(667\) | 19.2245i | 0.744375i | ||||||||
\(668\) | 2.54220 | + | 7.02929i | 0.0983608 | + | 0.271971i | ||||
\(669\) | −1.83448 | + | 2.13267i | −0.0709251 | + | 0.0824538i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −17.0418 | −0.657892 | ||||||||
\(672\) | −42.0468 | + | 6.66406i | −1.62199 | + | 0.257072i | ||||
\(673\) | 46.2899i | 1.78434i | 0.451696 | + | 0.892172i | \(0.350819\pi\) | ||||
−0.451696 | + | 0.892172i | \(0.649181\pi\) | |||||||
\(674\) | 18.2375 | − | 3.19656i | 0.702483 | − | 0.123127i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 23.7996 | − | 8.60732i | 0.915368 | − | 0.331051i | ||||
\(677\) | − | 27.7911i | − | 1.06810i | −0.845453 | − | 0.534049i | \(-0.820670\pi\) | ||
0.845453 | − | 0.534049i | \(-0.179330\pi\) | |||||||
\(678\) | 23.2846 | + | 13.8583i | 0.894239 | + | 0.532226i | ||||
\(679\) | 9.41826i | 0.361440i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.57997 | + | 6.48699i | −0.213825 | + | 0.248582i | ||||
\(682\) | −3.16869 | − | 18.0785i | −0.121336 | − | 0.692262i | ||||
\(683\) | 33.6521 | 1.28766 | 0.643832 | − | 0.765167i | \(-0.277344\pi\) | ||||
0.643832 | + | 0.765167i | \(0.277344\pi\) | |||||||
\(684\) | 15.4150 | + | 28.4145i | 0.589408 | + | 1.08645i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 5.17537 | + | 29.5273i | 0.197597 | + | 1.12736i | ||||
\(687\) | 20.0210 | + | 17.2216i | 0.763849 | + | 0.657047i | ||||
\(688\) | 7.59325 | + | 9.12473i | 0.289490 | + | 0.347877i | ||||
\(689\) | 3.91234i | 0.149048i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.6820 | −0.862864 | −0.431432 | − | 0.902145i | \(-0.641992\pi\) | ||||
−0.431432 | + | 0.902145i | \(0.641992\pi\) | |||||||
\(692\) | 4.52481 | + | 12.5113i | 0.172008 | + | 0.475608i | ||||
\(693\) | 23.6733 | − | 3.57904i | 0.899274 | − | 0.135956i | ||||
\(694\) | −0.971573 | − | 5.54316i | −0.0368804 | − | 0.210416i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −38.3952 | − | 7.37776i | −1.45537 | − | 0.279653i | ||||
\(697\) | 18.4200i | 0.697708i | ||||||||
\(698\) | 17.5334 | − | 3.07314i | 0.663648 | − | 0.116320i | ||||
\(699\) | 25.1878 | − | 29.2821i | 0.952692 | − | 1.10755i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.6379 | 0.401789 | 0.200895 | − | 0.979613i | \(-0.435615\pi\) | ||||
0.200895 | + | 0.979613i | \(0.435615\pi\) | |||||||
\(702\) | −1.63037 | + | 4.00253i | −0.0615344 | + | 0.151066i | ||||
\(703\) | 14.6590 | 0.552875 | ||||||||
\(704\) | 12.6804 | + | 7.42501i | 0.477911 | + | 0.279841i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.192214 | − | 1.09665i | −0.00723407 | − | 0.0412729i | ||||
\(707\) | 13.7433 | 0.516872 | ||||||||
\(708\) | −34.8284 | − | 13.2429i | −1.30893 | − | 0.497699i | ||||
\(709\) | − | 20.5295i | − | 0.771002i | −0.922707 | − | 0.385501i | \(-0.874029\pi\) | ||
0.922707 | − | 0.385501i | \(-0.125971\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 37.3366 | − | 5.64472i | 1.40023 | − | 0.211694i | ||||
\(712\) | −10.3360 | + | 5.92534i | −0.387358 | + | 0.222062i | ||||
\(713\) | −17.0203 | −0.637417 | ||||||||
\(714\) | −49.1869 | − | 29.2747i | −1.84077 | − | 1.09558i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −12.5220 | − | 34.6238i | −0.467969 | − | 1.29395i | ||||
\(717\) | 16.8084 | − | 19.5406i | 0.627721 | − | 0.729756i | ||||
\(718\) | −0.263751 | − | 1.50479i | −0.00984310 | − | 0.0561583i | ||||
\(719\) | 14.8813 | 0.554977 | 0.277489 | − | 0.960729i | \(-0.410498\pi\) | ||||
0.277489 | + | 0.960729i | \(0.410498\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −54.6897 | −2.03675 | ||||||||
\(722\) | −2.44834 | − | 13.9687i | −0.0911179 | − | 0.519860i | ||||
\(723\) | 0.590858 | − | 0.686901i | 0.0219742 | − | 0.0255461i | ||||
\(724\) | −13.2724 | − | 36.6986i | −0.493264 | − | 1.36389i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 16.0523 | + | 9.55389i | 0.595757 | + | 0.354578i | ||||
\(727\) | 16.1239 | 0.598004 | 0.299002 | − | 0.954253i | \(-0.403346\pi\) | ||||
0.299002 | + | 0.954253i | \(0.403346\pi\) | |||||||
\(728\) | 3.59467 | + | 6.27044i | 0.133227 | + | 0.232398i | ||||
\(729\) | 11.7476 | + | 24.3104i | 0.435096 | + | 0.900384i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 15.9610i | 0.590337i | ||||||||
\(732\) | −30.0417 | − | 11.4228i | −1.11037 | − | 0.422200i | ||||
\(733\) | −16.7310 | −0.617975 | −0.308988 | − | 0.951066i | \(-0.599990\pi\) | ||||
−0.308988 | + | 0.951066i | \(0.599990\pi\) | |||||||
\(734\) | 3.55960 | + | 20.3088i | 0.131387 | + | 0.749611i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 8.81215 | − | 10.3937i | 0.324820 | − | 0.383115i | ||||
\(737\) | −7.59579 | −0.279795 | ||||||||
\(738\) | −4.62000 | − | 13.7768i | −0.170064 | − | 0.507133i | ||||
\(739\) | −12.5693 | −0.462371 | −0.231185 | − | 0.972910i | \(-0.574260\pi\) | ||||
−0.231185 | + | 0.972910i | \(0.574260\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3.57904 | − | 4.16081i | 0.131479 | − | 0.152851i | ||||
\(742\) | 40.2618 | − | 7.05685i | 1.47806 | − | 0.259065i | ||||
\(743\) | 22.2877i | 0.817655i | 0.912612 | + | 0.408827i | \(0.134062\pi\) | ||||
−0.912612 | + | 0.408827i | \(0.865938\pi\) | |||||||
\(744\) | 6.53188 | − | 33.9931i | 0.239470 | − | 1.24625i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −7.70838 | − | 43.9790i | −0.282224 | − | 1.61019i | ||||
\(747\) | −5.18390 | − | 34.2885i | −0.189669 | − | 1.25455i | ||||
\(748\) | 6.71942 | + | 18.5794i | 0.245686 | + | 0.679332i | ||||
\(749\) | −16.4674 | −0.601707 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 35.1279i | − | 1.28183i | −0.767610 | − | 0.640917i | \(-0.778554\pi\) | ||
0.767610 | − | 0.640917i | \(-0.221446\pi\) | |||||||
\(752\) | −25.1134 | − | 30.1785i | −0.915791 | − | 1.10050i | ||||
\(753\) | −6.33410 | − | 5.44846i | −0.230827 | − | 0.198553i | ||||
\(754\) | 1.14599 | + | 6.53825i | 0.0417343 | + | 0.238109i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 44.1307 | + | 9.55859i | 1.60502 | + | 0.347643i | ||||
\(757\) | −20.6887 | −0.751945 | −0.375972 | − | 0.926631i | \(-0.622691\pi\) | ||||
−0.375972 | + | 0.926631i | \(0.622691\pi\) | |||||||
\(758\) | 1.12609 | + | 6.42476i | 0.0409016 | + | 0.233358i | ||||
\(759\) | −4.99754 | + | 5.80988i | −0.181399 | + | 0.210885i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 22.8130i | − | 0.826971i | −0.910511 | − | 0.413485i | \(-0.864311\pi\) | ||
0.910511 | − | 0.413485i | \(-0.135689\pi\) | |||||||
\(762\) | 27.2694 | + | 16.2300i | 0.987865 | + | 0.587950i | ||||
\(763\) | 2.55539i | 0.0925113i | ||||||||
\(764\) | −16.4286 | + | 5.94153i | −0.594364 | + | 0.214957i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −20.3834 | + | 3.57268i | −0.736482 | + | 0.129086i | ||||
\(767\) | 6.32612i | 0.228423i | ||||||||
\(768\) | 17.3764 | + | 21.5884i | 0.627018 | + | 0.779005i | ||||
\(769\) | 46.3082 | 1.66992 | 0.834958 | − | 0.550313i | \(-0.185492\pi\) | ||||
0.834958 | + | 0.550313i | \(0.185492\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 25.8496 | − | 30.0515i | 0.930952 | − | 1.08228i | ||||
\(772\) | 1.00458 | + | 2.77769i | 0.0361555 | + | 0.0999714i | ||||
\(773\) | 30.2684i | 1.08868i | 0.838865 | + | 0.544340i | \(0.183220\pi\) | ||||
−0.838865 | + | 0.544340i | \(0.816780\pi\) | |||||||
\(774\) | −4.00323 | − | 11.9376i | −0.143893 | − | 0.429089i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 5.31897 | − | 3.04922i | 0.190940 | − | 0.109460i | ||||
\(777\) | 13.3527 | − | 15.5231i | 0.479024 | − | 0.556889i | ||||
\(778\) | 3.69620 | + | 21.0881i | 0.132515 | + | 0.756045i | ||||
\(779\) | 18.4528i | 0.661141i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 22.4531i | 0.803436i | ||||||||
\(782\) | 18.0464 | − | 3.16306i | 0.645337 | − | 0.113111i | ||||
\(783\) | 35.1279 | + | 22.0393i | 1.25537 | + | 0.787622i | ||||
\(784\) | 36.5226 | − | 30.3927i | 1.30438 | − | 1.08545i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 3.74201 | − | 6.28728i | 0.133473 | − | 0.224260i | ||||
\(787\) | − | 19.4080i | − | 0.691819i | −0.938268 | − | 0.345910i | \(-0.887570\pi\) | ||
0.938268 | − | 0.345910i | \(-0.112430\pi\) | |||||||
\(788\) | −7.58003 | − | 20.9591i | −0.270027 | − | 0.746636i | ||||
\(789\) | 17.7960 | + | 15.3078i | 0.633555 | + | 0.544971i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −48.0644 | −1.70897 | ||||||||
\(792\) | −9.68562 | − | 12.2108i | −0.344163 | − | 0.433890i | ||||
\(793\) | 5.45667i | 0.193772i | ||||||||
\(794\) | −4.47684 | − | 25.5420i | −0.158877 | − | 0.906450i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.90484 | + | 5.26695i | 0.0675152 | + | 0.186682i | ||||
\(797\) | − | 30.7743i | − | 1.09008i | −0.838409 | − | 0.545041i | \(-0.816514\pi\) | ||
0.838409 | − | 0.545041i | \(-0.183486\pi\) | |||||||
\(798\) | −49.2745 | − | 29.3268i | −1.74430 | − | 1.03816i | ||||
\(799\) | − | 52.7882i | − | 1.86751i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 12.4947 | − | 1.88901i | 0.441478 | − | 0.0667448i | ||||
\(802\) | 47.6929 | − | 8.35933i | 1.68409 | − | 0.295178i | ||||
\(803\) | 8.11867 | 0.286502 | ||||||||
\(804\) | −13.3900 | − | 5.09133i | −0.472230 | − | 0.179557i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −5.78862 | + | 1.01460i | −0.203895 | + | 0.0357376i | ||||
\(807\) | −14.6590 | + | 17.0418i | −0.516021 | + | 0.599900i | ||||
\(808\) | −4.44948 | − | 7.76156i | −0.156532 | − | 0.273051i | ||||
\(809\) | 37.5744i | 1.32104i | 0.750807 | + | 0.660522i | \(0.229665\pi\) | ||||
−0.750807 | + | 0.660522i | \(0.770335\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −30.3492 | −1.06571 | −0.532853 | − | 0.846208i | \(-0.678880\pi\) | ||||
−0.532853 | + | 0.846208i | \(0.678880\pi\) | |||||||
\(812\) | 65.2179 | − | 23.5866i | 2.28870 | − | 0.827729i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −6.96147 | + | 1.22016i | −0.243999 | + | 0.0427668i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −0.608357 | + | 37.2562i | −0.0212968 | + | 1.30423i | ||||
\(817\) | 15.9894i | 0.559397i | ||||||||
\(818\) | 4.56386 | + | 26.0384i | 0.159572 | + | 0.910413i | ||||
\(819\) | −1.14599 | − | 7.58003i | −0.0400440 | − | 0.264868i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 6.97824 | 0.243542 | 0.121771 | − | 0.992558i | \(-0.461143\pi\) | ||||
0.121771 | + | 0.992558i | \(0.461143\pi\) | |||||||
\(822\) | −11.9309 | − | 7.10096i | −0.416139 | − | 0.247674i | ||||
\(823\) | 0.569147 | 0.0198392 | 0.00991960 | − | 0.999951i | \(-0.496842\pi\) | ||||
0.00991960 | + | 0.999951i | \(0.496842\pi\) | |||||||
\(824\) | 17.7061 | + | 30.8860i | 0.616821 | + | 1.07597i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 65.1020 | − | 11.4107i | 2.26519 | − | 0.397029i | ||||
\(827\) | 23.0851 | 0.802748 | 0.401374 | − | 0.915914i | \(-0.368533\pi\) | ||||
0.401374 | + | 0.915914i | \(0.368533\pi\) | |||||||
\(828\) | −12.7040 | + | 6.89202i | −0.441496 | + | 0.239514i | ||||
\(829\) | − | 48.3636i | − | 1.67974i | −0.542790 | − | 0.839869i | \(-0.682632\pi\) | ||
0.542790 | − | 0.839869i | \(-0.317368\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 18.9662 | − | 22.0491i | 0.657930 | − | 0.764876i | ||||
\(832\) | 2.37744 | − | 4.06018i | 0.0824229 | − | 0.140761i | ||||
\(833\) | 63.8852 | 2.21349 | ||||||||
\(834\) | 5.66373 | + | 3.37090i | 0.196119 | + | 0.116725i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 6.73138 | + | 18.6125i | 0.232810 | + | 0.643728i | ||||
\(837\) | −19.5125 | + | 31.1004i | −0.674450 | + | 1.07499i | ||||
\(838\) | −7.30755 | + | 1.28082i | −0.252435 | + | 0.0442453i | ||||
\(839\) | −22.0393 | −0.760883 | −0.380441 | − | 0.924805i | \(-0.624228\pi\) | ||||
−0.380441 | + | 0.924805i | \(0.624228\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 34.6926 | 1.19630 | ||||||||
\(842\) | 6.16332 | − | 1.08027i | 0.212402 | − | 0.0372285i | ||||
\(843\) | 14.5050 | + | 12.4769i | 0.499578 | + | 0.429727i | ||||
\(844\) | −18.5532 | + | 6.70993i | −0.638628 | + | 0.230965i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 13.2400 | + | 39.4817i | 0.455200 | + | 1.35741i | ||||
\(847\) | −33.1355 | −1.13855 | ||||||||
\(848\) | −17.0203 | − | 20.4532i | −0.584481 | − | 0.702365i | ||||
\(849\) | 24.5611 | + | 21.1270i | 0.842936 | + | 0.725076i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.55400i | 0.224668i | ||||||||
\(852\) | −15.0499 | + | 39.5808i | −0.515603 | + | 1.35602i | ||||
\(853\) | −6.39801 | −0.219064 | −0.109532 | − | 0.993983i | \(-0.534935\pi\) | ||||
−0.109532 | + | 0.993983i | \(0.534935\pi\) | |||||||
\(854\) | 56.1546 | − | 9.84244i | 1.92157 | − | 0.336801i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 5.33142 | + | 9.29998i | 0.182224 | + | 0.317867i | ||||
\(857\) | −27.2124 | −0.929559 | −0.464780 | − | 0.885426i | \(-0.653866\pi\) | ||||
−0.464780 | + | 0.885426i | \(0.653866\pi\) | |||||||
\(858\) | −1.35333 | + | 2.27385i | −0.0462020 | + | 0.0776279i | ||||
\(859\) | −23.4663 | −0.800658 | −0.400329 | − | 0.916371i | \(-0.631104\pi\) | ||||
−0.400329 | + | 0.916371i | \(0.631104\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 19.5406 | + | 16.8084i | 0.665941 | + | 0.572828i | ||||
\(862\) | −1.44001 | − | 8.21575i | −0.0490469 | − | 0.279830i | ||||
\(863\) | − | 12.4724i | − | 0.424566i | −0.977208 | − | 0.212283i | \(-0.931910\pi\) | ||
0.977208 | − | 0.212283i | \(-0.0680898\pi\) | |||||||
\(864\) | −8.88935 | − | 28.0175i | −0.302422 | − | 0.953174i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 44.8759 | − | 7.86557i | 1.52494 | − | 0.267283i | ||||
\(867\) | −13.4691 | + | 15.6585i | −0.457434 | + | 0.531790i | ||||
\(868\) | 20.8824 | + | 57.7405i | 0.708794 | + | 1.95984i | ||||
\(869\) | 23.1196 | 0.784279 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.43212i | 0.0824093i | ||||||||
\(872\) | 1.44316 | − | 0.827322i | 0.0488715 | − | 0.0280166i | ||||
\(873\) | −6.42984 | + | 0.972093i | −0.217617 | + | 0.0329004i | ||||
\(874\) | 18.0785 | − | 3.16869i | 0.611515 | − | 0.107183i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 14.3118 | + | 5.44181i | 0.483550 | + | 0.183862i | ||||
\(877\) | −48.9517 | −1.65298 | −0.826491 | − | 0.562950i | \(-0.809667\pi\) | ||||
−0.826491 | + | 0.562950i | \(0.809667\pi\) | |||||||
\(878\) | −3.16611 | + | 0.554937i | −0.106851 | + | 0.0187282i | ||||
\(879\) | −38.6652 | − | 33.2590i | −1.30414 | − | 1.12180i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 9.76612i | 0.329029i | 0.986375 | + | 0.164514i | \(0.0526057\pi\) | ||||
−0.986375 | + | 0.164514i | \(0.947394\pi\) | |||||||
\(882\) | −47.7815 | + | 16.0233i | −1.60889 | + | 0.539532i | ||||
\(883\) | 37.1170i | 1.24909i | 0.780990 | + | 0.624544i | \(0.214715\pi\) | ||||
−0.780990 | + | 0.624544i | \(0.785285\pi\) | |||||||
\(884\) | 5.94902 | − | 2.15151i | 0.200087 | − | 0.0723633i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.12088 | − | 6.39504i | −0.0376569 | − | 0.214846i | ||||
\(887\) | − | 20.7792i | − | 0.697699i | −0.937179 | − | 0.348849i | \(-0.886573\pi\) | ||
0.937179 | − | 0.348849i | \(-0.113427\pi\) | |||||||
\(888\) | −13.0897 | − | 2.51522i | −0.439261 | − | 0.0844053i | ||||
\(889\) | −56.2899 | −1.88790 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.88681 | + | 15.7923i | 0.163714 | + | 0.529062i | ||||
\(892\) | −3.05467 | + | 1.10475i | −0.102278 | + | 0.0369897i | ||||
\(893\) | − | 52.8821i | − | 1.76963i | ||||||
\(894\) | 44.1165 | + | 26.2570i | 1.47548 | + | 0.878164i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −46.0716 | − | 17.1427i | −1.53914 | − | 0.572697i | ||||
\(897\) | 1.86029 | + | 1.60018i | 0.0621132 | + | 0.0534285i | ||||
\(898\) | −54.3904 | + | 9.53322i | −1.81503 | + | 0.318128i | ||||
\(899\) | 56.3901i | 1.88072i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 35.7766i | − | 1.19189i | ||||||
\(902\) | −1.53595 | − | 8.76313i | −0.0511415 | − | 0.291780i | ||||
\(903\) | 16.9319 | + | 14.5645i | 0.563459 | + | 0.484675i | ||||
\(904\) | 15.5611 | + | 27.1444i | 0.517555 | + | 0.902809i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 3.96965 | − | 6.66975i | 0.131883 | − | 0.221588i | ||||
\(907\) | 25.5231i | 0.847481i | 0.905784 | + | 0.423741i | \(0.139283\pi\) | ||||
−0.905784 | + | 0.423741i | \(0.860717\pi\) | |||||||
\(908\) | −9.29144 | + | 3.36033i | −0.308347 | + | 0.111516i | ||||
\(909\) | 1.41850 | + | 9.38256i | 0.0470487 | + | 0.311200i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 18.6187 | 0.616865 | 0.308433 | − | 0.951246i | \(-0.400196\pi\) | ||||
0.308433 | + | 0.951246i | \(0.400196\pi\) | |||||||
\(912\) | −0.609440 | + | 37.3225i | −0.0201806 | + | 1.23587i | ||||
\(913\) | − | 21.2322i | − | 0.702683i | ||||||
\(914\) | 6.91122 | − | 1.21136i | 0.228603 | − | 0.0400681i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 10.3711 | + | 28.6765i | 0.342671 | + | 0.947497i | ||||
\(917\) | 12.9783i | 0.428581i | ||||||||
\(918\) | 14.9090 | − | 36.6014i | 0.492071 | − | 1.20803i | ||||
\(919\) | 27.9743i | 0.922788i | 0.887195 | + | 0.461394i | \(0.152650\pi\) | ||||
−0.887195 | + | 0.461394i | \(0.847350\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 43.6074 | + | 37.5101i | 1.43691 | + | 1.23600i | ||||
\(922\) | 3.44916 | + | 19.6787i | 0.113592 | + | 0.648083i | ||||
\(923\) | 7.18934 | 0.236640 | ||||||||
\(924\) | 25.8412 | + | 9.82568i | 0.850113 | + | 0.323241i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 3.48912 | + | 19.9067i | 0.114660 | + | 0.654174i | ||||
\(927\) | −5.64472 | − | 37.3366i | −0.185397 | − | 1.22629i | ||||
\(928\) | −34.4352 | − | 29.1955i | −1.13039 | − | 0.958391i | ||||
\(929\) | − | 46.7604i | − | 1.53416i | −0.641551 | − | 0.767080i | \(-0.721709\pi\) | ||
0.641551 | − | 0.767080i | \(-0.278291\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 63.9990 | 2.09748 | ||||||||
\(932\) | 41.9413 | − | 15.1685i | 1.37383 | − | 0.496859i | ||||
\(933\) | −29.1149 | + | 33.8475i | −0.953178 | + | 1.10812i | ||||
\(934\) | 7.77551 | + | 44.3620i | 0.254422 | + | 1.45157i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −3.90980 | + | 3.10127i | −0.127796 | + | 0.101368i | ||||
\(937\) | − | 41.2253i | − | 1.34677i | −0.739291 | − | 0.673387i | \(-0.764839\pi\) | ||
0.739291 | − | 0.673387i | \(-0.235161\pi\) | |||||||
\(938\) | 25.0289 | − | 4.38692i | 0.817224 | − | 0.143238i | ||||
\(939\) | 12.6768 | + | 10.9043i | 0.413692 | + | 0.355849i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −0.179836 | −0.00586248 | −0.00293124 | − | 0.999996i | \(-0.500933\pi\) | ||||
−0.00293124 | + | 0.999996i | \(0.500933\pi\) | |||||||
\(942\) | 25.2562 | + | 15.0318i | 0.822892 | + | 0.489763i | ||||
\(943\) | −8.25021 | −0.268664 | ||||||||
\(944\) | −27.5213 | − | 33.0721i | −0.895743 | − | 1.07641i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.33090 | − | 7.59325i | −0.0432713 | − | 0.246878i | ||||
\(947\) | 21.3864 | 0.694965 | 0.347483 | − | 0.937686i | \(-0.387037\pi\) | ||||
0.347483 | + | 0.937686i | \(0.387037\pi\) | |||||||
\(948\) | 40.7557 | + | 15.4967i | 1.32369 | + | 0.503309i | ||||
\(949\) | − | 2.59955i | − | 0.0843849i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 6.32612 | + | 5.44160i | 0.205139 | + | 0.176456i | ||||
\(952\) | −32.8717 | − | 57.3405i | −1.06538 | − | 1.85842i | ||||
\(953\) | −11.0306 | −0.357317 | −0.178658 | − | 0.983911i | \(-0.557176\pi\) | ||||
−0.178658 | + | 0.983911i | \(0.557176\pi\) | |||||||
\(954\) | 8.97327 | + | 26.7583i | 0.290520 | + | 0.866333i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 27.9884 | − | 10.1222i | 0.905208 | − | 0.327376i | ||||
\(957\) | 19.2487 | + | 16.5573i | 0.622223 | + | 0.535223i | ||||
\(958\) | 6.33739 | + | 36.1570i | 0.204752 | + | 1.16818i | ||||
\(959\) | 24.6280 | 0.795281 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −18.9248 | −0.610478 | ||||||||
\(962\) | 0.390689 | + | 2.22902i | 0.0125963 | + | 0.0718664i | ||||
\(963\) | −1.69966 | − | 11.2423i | −0.0547709 | − | 0.362278i | ||||
\(964\) | 0.983862 | − | 0.355822i | 0.0316881 | − | 0.0114603i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 13.1119 | − | 22.0305i | 0.421870 | − | 0.708820i | ||||
\(967\) | −10.8832 | −0.349980 | −0.174990 | − | 0.984570i | \(-0.555989\pi\) | ||||
−0.174990 | + | 0.984570i | \(0.555989\pi\) | |||||||
\(968\) | 10.7278 | + | 18.7133i | 0.344804 | + | 0.601467i | ||||
\(969\) | −32.7288 | + | 38.0488i | −1.05140 | + | 1.22230i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 2.40482i | 0.0771744i | 0.999255 | + | 0.0385872i | \(0.0122857\pi\) | ||||
−0.999255 | + | 0.0385872i | \(0.987714\pi\) | |||||||
\(972\) | −1.97074 | + | 31.1146i | −0.0632117 | + | 0.998000i | ||||
\(973\) | −11.6912 | −0.374802 | ||||||||
\(974\) | −5.96846 | − | 34.0521i | −0.191242 | − | 1.09110i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −23.7389 | − | 28.5268i | −0.759863 | − | 0.913119i | ||||
\(977\) | 41.7609 | 1.33605 | 0.668026 | − | 0.744138i | \(-0.267140\pi\) | ||||
0.668026 | + | 0.744138i | \(0.267140\pi\) | |||||||
\(978\) | −16.5135 | + | 27.7458i | −0.528045 | + | 0.887213i | ||||
\(979\) | 7.73698 | 0.247275 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.74456 | + | 0.263751i | −0.0556995 | + | 0.00842092i | ||||
\(982\) | −52.4638 | + | 9.19554i | −1.67419 | + | 0.293442i | ||||
\(983\) | 33.2516i | 1.06056i | 0.847822 | + | 0.530281i | \(0.177914\pi\) | ||||
−0.847822 | + | 0.530281i | \(0.822086\pi\) | |||||||
\(984\) | 3.16617 | − | 16.4774i | 0.100934 | − | 0.525279i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −10.4795 | − | 59.7894i | −0.333736 | − | 1.90408i | ||||
\(987\) | −55.9994 | − | 48.1695i | −1.78248 | − | 1.53325i | ||||
\(988\) | 5.95961 | − | 2.15534i | 0.189600 | − | 0.0685707i | ||||
\(989\) | −7.14881 | −0.227319 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 33.9434i | 1.07825i | 0.842226 | + | 0.539124i | \(0.181245\pi\) | ||||
−0.842226 | + | 0.539124i | \(0.818755\pi\) | |||||||
\(992\) | 25.8482 | − | 30.4871i | 0.820681 | − | 0.967967i | ||||
\(993\) | 1.55171 | − | 1.80394i | 0.0492420 | − | 0.0572462i | ||||
\(994\) | −12.9677 | − | 73.9854i | −0.411311 | − | 2.34667i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 14.2316 | − | 37.4285i | 0.450945 | − | 1.18597i | ||||
\(997\) | 45.6428 | 1.44552 | 0.722761 | − | 0.691098i | \(-0.242873\pi\) | ||||
0.722761 | + | 0.691098i | \(0.242873\pi\) | |||||||
\(998\) | −8.96650 | − | 51.1570i | −0.283830 | − | 1.61935i | ||||
\(999\) | 11.9758 | + | 7.51364i | 0.378897 | + | 0.237721i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))