Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(269,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.269");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.ch (of order \(6\), degree \(2\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.15 | ||
Character | \(\chi\) | \(=\) | 504.269 |
Dual form | 504.2.ch.b.341.15 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.169197 | + | 1.40406i | 0.119640 | + | 0.992817i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.94274 | + | 0.475124i | −0.971372 | + | 0.237562i | ||||
\(5\) | 1.53798 | − | 0.887954i | 0.687806 | − | 0.397105i | −0.114983 | − | 0.993367i | \(-0.536681\pi\) |
0.802790 | + | 0.596262i | \(0.203348\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.843933 | − | 2.50754i | 0.318977 | − | 0.947763i | ||||
\(8\) | −0.995807 | − | 2.64733i | −0.352071 | − | 0.935973i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.50696 | + | 2.00917i | 0.476542 | + | 0.635356i | ||||
\(11\) | 2.09284 | − | 3.62490i | 0.631015 | − | 1.09295i | −0.356330 | − | 0.934360i | \(-0.615972\pi\) |
0.987345 | − | 0.158589i | \(-0.0506945\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.76443 | −1.04406 | −0.522032 | − | 0.852926i | \(-0.674826\pi\) | ||||
−0.522032 | + | 0.852926i | \(0.674826\pi\) | |||||||
\(14\) | 3.66352 | + | 0.760659i | 0.979118 | + | 0.203295i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.54851 | − | 1.84609i | 0.887129 | − | 0.461522i | ||||
\(17\) | 2.32502 | − | 4.02705i | 0.563899 | − | 0.976702i | −0.433252 | − | 0.901273i | \(-0.642634\pi\) |
0.997151 | − | 0.0754291i | \(-0.0240327\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.0315203 | + | 0.0545948i | 0.00723126 | + | 0.0125249i | 0.869618 | − | 0.493724i | \(-0.164365\pi\) |
−0.862387 | + | 0.506249i | \(0.831032\pi\) | |||||||
\(20\) | −2.56602 | + | 2.45580i | −0.573779 | + | 0.549134i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.44367 | + | 2.32514i | 1.16059 | + | 0.495721i | ||||
\(23\) | 4.05375 | − | 2.34043i | 0.845265 | − | 0.488014i | −0.0137854 | − | 0.999905i | \(-0.504388\pi\) |
0.859050 | + | 0.511891i | \(0.171055\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.923074 | + | 1.59881i | −0.184615 | + | 0.319762i | ||||
\(26\) | −0.636930 | − | 5.28547i | −0.124912 | − | 1.03657i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.448151 | + | 5.27249i | −0.0846926 | + | 0.996407i | ||||
\(29\) | −6.47316 | −1.20204 | −0.601018 | − | 0.799235i | \(-0.705238\pi\) | ||||
−0.601018 | + | 0.799235i | \(0.705238\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.64896 | + | 3.83878i | 1.19419 | + | 0.689465i | 0.959254 | − | 0.282546i | \(-0.0911790\pi\) |
0.234935 | + | 0.972011i | \(0.424512\pi\) | |||||||
\(32\) | 3.19241 | + | 4.66996i | 0.564344 | + | 0.825540i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.04758 | + | 2.58309i | 1.03715 | + | 0.442996i | ||||
\(35\) | −0.928631 | − | 4.60593i | −0.156967 | − | 0.778544i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.91602 | + | 1.68357i | −0.479391 | + | 0.276777i | −0.720163 | − | 0.693805i | \(-0.755933\pi\) |
0.240772 | + | 0.970582i | \(0.422600\pi\) | |||||||
\(38\) | −0.0713210 | + | 0.0534936i | −0.0115698 | + | 0.00867781i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.88224 | − | 3.18732i | −0.613837 | − | 0.503959i | ||||
\(41\) | 8.06290 | 1.25921 | 0.629606 | − | 0.776914i | \(-0.283216\pi\) | ||||
0.629606 | + | 0.776914i | \(0.283216\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 9.94628i | 1.51679i | 0.651793 | + | 0.758397i | \(0.274017\pi\) | ||||
−0.651793 | + | 0.758397i | \(0.725983\pi\) | |||||||
\(44\) | −2.34357 | + | 8.03662i | −0.353307 | + | 1.21157i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.97198 | + | 5.29569i | 0.585636 | + | 0.780807i | ||||
\(47\) | 0.338788 | + | 0.586799i | 0.0494174 | + | 0.0855934i | 0.889676 | − | 0.456592i | \(-0.150930\pi\) |
−0.840259 | + | 0.542186i | \(0.817597\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.57556 | − | 4.23240i | −0.796508 | − | 0.604628i | ||||
\(50\) | −2.40100 | − | 1.02553i | −0.339553 | − | 0.145032i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 7.31332 | − | 1.78857i | 1.01418 | − | 0.248030i | ||||
\(53\) | −2.36197 | + | 4.09104i | −0.324441 | + | 0.561948i | −0.981399 | − | 0.191979i | \(-0.938509\pi\) |
0.656958 | + | 0.753927i | \(0.271843\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 7.43338i | − | 1.00232i | ||||||
\(56\) | −7.47870 | + | 0.262861i | −0.999383 | + | 0.0351262i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.09524 | − | 9.08868i | −0.143812 | − | 1.19340i | ||||
\(59\) | 6.53211 | + | 3.77132i | 0.850408 | + | 0.490983i | 0.860789 | − | 0.508963i | \(-0.169971\pi\) |
−0.0103803 | + | 0.999946i | \(0.503304\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.23104 | − | 12.5245i | −0.925840 | − | 1.60360i | −0.790204 | − | 0.612844i | \(-0.790025\pi\) |
−0.135636 | − | 0.990759i | \(-0.543308\pi\) | |||||||
\(62\) | −4.26487 | + | 9.98502i | −0.541640 | + | 1.26810i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.01674 | + | 5.27247i | −0.752092 | + | 0.659058i | ||||
\(65\) | −5.78962 | + | 3.34264i | −0.718115 | + | 0.414604i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.67866 | + | 3.27857i | 0.693758 | + | 0.400542i | 0.805018 | − | 0.593250i | \(-0.202155\pi\) |
−0.111260 | + | 0.993791i | \(0.535489\pi\) | |||||||
\(68\) | −2.60357 | + | 8.92819i | −0.315729 | + | 1.08270i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 6.30986 | − | 2.08316i | 0.754173 | − | 0.248985i | ||||
\(71\) | − | 5.10606i | − | 0.605978i | −0.952994 | − | 0.302989i | \(-0.902015\pi\) | ||
0.952994 | − | 0.302989i | \(-0.0979846\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.29332 | + | 0.746696i | 0.151371 | + | 0.0873942i | 0.573772 | − | 0.819015i | \(-0.305479\pi\) |
−0.422401 | + | 0.906409i | \(0.638813\pi\) | |||||||
\(74\) | −2.85720 | − | 3.80940i | −0.332143 | − | 0.442834i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.0871753 | − | 0.0910878i | −0.00999969 | − | 0.0104485i | ||||
\(77\) | −7.32339 | − | 8.30706i | −0.834578 | − | 0.946677i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.99485 | − | 10.3834i | −0.674473 | − | 1.16822i | −0.976623 | − | 0.214961i | \(-0.931038\pi\) |
0.302150 | − | 0.953260i | \(-0.402296\pi\) | |||||||
\(80\) | 3.81831 | − | 5.99017i | 0.426900 | − | 0.669721i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.36422 | + | 11.3208i | 0.150653 | + | 1.25017i | ||||
\(83\) | − | 7.64992i | − | 0.839688i | −0.907596 | − | 0.419844i | \(-0.862085\pi\) | ||
0.907596 | − | 0.419844i | \(-0.137915\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 8.25803i | − | 0.895709i | ||||||
\(86\) | −13.9651 | + | 1.68288i | −1.50590 | + | 0.181470i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −11.6804 | − | 1.93073i | −1.24513 | − | 0.205817i | ||||
\(89\) | 8.97506 | + | 15.5453i | 0.951354 | + | 1.64779i | 0.742499 | + | 0.669847i | \(0.233640\pi\) |
0.208855 | + | 0.977947i | \(0.433026\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.17692 | + | 9.43947i | −0.333032 | + | 0.989526i | ||||
\(92\) | −6.76340 | + | 6.47290i | −0.705133 | + | 0.674846i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.766576 | + | 0.574962i | −0.0790663 | + | 0.0593028i | ||||
\(95\) | 0.0969554 | + | 0.0559773i | 0.00994742 | + | 0.00574315i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.24586i | 0.431102i | 0.976493 | + | 0.215551i | \(0.0691547\pi\) | ||||
−0.976493 | + | 0.215551i | \(0.930845\pi\) | |||||||
\(98\) | 4.99915 | − | 8.54450i | 0.504991 | − | 0.863125i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.03366 | − | 3.54466i | 0.103366 | − | 0.354466i | ||||
\(101\) | 3.63654 | + | 2.09956i | 0.361849 | + | 0.208914i | 0.669892 | − | 0.742459i | \(-0.266341\pi\) |
−0.308042 | + | 0.951373i | \(0.599674\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.3144 | + | 6.53235i | −1.11484 | + | 0.643652i | −0.940078 | − | 0.340959i | \(-0.889248\pi\) |
−0.174759 | + | 0.984611i | \(0.555915\pi\) | |||||||
\(104\) | 3.74865 | + | 9.96569i | 0.367585 | + | 0.977217i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.14369 | − | 2.62414i | −0.596728 | − | 0.254879i | ||||
\(107\) | −5.25101 | − | 9.09502i | −0.507635 | − | 0.879249i | −0.999961 | − | 0.00883827i | \(-0.997187\pi\) |
0.492326 | − | 0.870411i | \(-0.336147\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.19797 | − | 1.26900i | −0.210528 | − | 0.121548i | 0.391029 | − | 0.920378i | \(-0.372119\pi\) |
−0.601557 | + | 0.798830i | \(0.705453\pi\) | |||||||
\(110\) | 10.4369 | − | 1.25771i | 0.995117 | − | 0.119918i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.63444 | − | 10.4560i | −0.154440 | − | 0.988002i | ||||
\(113\) | 4.56501i | 0.429440i | 0.976676 | + | 0.214720i | \(0.0688838\pi\) | ||||
−0.976676 | + | 0.214720i | \(0.931116\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.15639 | − | 7.19909i | 0.387586 | − | 0.671318i | ||||
\(116\) | 12.5757 | − | 3.07556i | 1.16763 | − | 0.285558i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.18992 | + | 9.80954i | −0.385714 | + | 0.903041i | ||||
\(119\) | −8.13584 | − | 9.22863i | −0.745811 | − | 0.845988i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.25995 | − | 5.64639i | −0.296359 | − | 0.513308i | ||||
\(122\) | 16.3617 | − | 12.2719i | 1.48132 | − | 1.11105i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −14.7411 | − | 4.29869i | −1.32379 | − | 0.386033i | ||||
\(125\) | 12.1581i | 1.08746i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.36161 | 0.741973 | 0.370986 | − | 0.928638i | \(-0.379020\pi\) | ||||
0.370986 | + | 0.928638i | \(0.379020\pi\) | |||||||
\(128\) | −8.42085 | − | 7.55575i | −0.744305 | − | 0.667840i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.67284 | − | 7.56339i | −0.497541 | − | 0.663353i | ||||
\(131\) | 5.45901 | − | 3.15176i | 0.476956 | − | 0.275371i | −0.242191 | − | 0.970229i | \(-0.577866\pi\) |
0.719147 | + | 0.694858i | \(0.244533\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.163500 | − | 0.0329643i | 0.0141772 | − | 0.00285837i | ||||
\(134\) | −3.64249 | + | 8.52788i | −0.314663 | + | 0.736696i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −12.9762 | − | 2.14493i | −1.11270 | − | 0.183926i | ||||
\(137\) | −11.3468 | − | 6.55109i | −0.969425 | − | 0.559698i | −0.0703639 | − | 0.997521i | \(-0.522416\pi\) |
−0.899061 | + | 0.437824i | \(0.855749\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 19.1125 | 1.62110 | 0.810549 | − | 0.585671i | \(-0.199169\pi\) | ||||
0.810549 | + | 0.585671i | \(0.199169\pi\) | |||||||
\(140\) | 3.99248 | + | 8.50693i | 0.337426 | + | 0.718967i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 7.16920 | − | 0.863931i | 0.601626 | − | 0.0724994i | ||||
\(143\) | −7.87834 | + | 13.6457i | −0.658820 | + | 1.14111i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.95561 | + | 5.74787i | −0.826768 | + | 0.477335i | ||||
\(146\) | −0.829578 | + | 1.94223i | −0.0686564 | + | 0.160740i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.86518 | − | 4.65621i | 0.399916 | − | 0.382738i | ||||
\(149\) | 2.19406 | + | 3.80023i | 0.179745 | + | 0.311327i | 0.941793 | − | 0.336193i | \(-0.109140\pi\) |
−0.762048 | + | 0.647520i | \(0.775806\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.37428 | − | 2.38033i | 0.111838 | − | 0.193708i | −0.804674 | − | 0.593717i | \(-0.797660\pi\) |
0.916511 | + | 0.400009i | \(0.130993\pi\) | |||||||
\(152\) | 0.113142 | − | 0.137811i | 0.00917707 | − | 0.0111779i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 10.4245 | − | 11.6880i | 0.840028 | − | 0.941844i | ||||
\(155\) | 13.6346 | 1.09516 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.669124 | + | 1.15896i | −0.0534019 | + | 0.0924948i | −0.891491 | − | 0.453039i | \(-0.850340\pi\) |
0.838089 | + | 0.545534i | \(0.183673\pi\) | |||||||
\(158\) | 13.5645 | − | 10.1739i | 1.07914 | − | 0.809395i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 9.05658 | + | 4.34760i | 0.715986 | + | 0.343708i | ||||
\(161\) | −2.44765 | − | 12.1401i | −0.192902 | − | 0.956776i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.30942 | − | 1.91070i | 0.259214 | − | 0.149657i | −0.364762 | − | 0.931101i | \(-0.618850\pi\) |
0.623976 | + | 0.781444i | \(0.285516\pi\) | |||||||
\(164\) | −15.6642 | + | 3.83088i | −1.22316 | + | 0.299141i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 10.7409 | − | 1.29434i | 0.833656 | − | 0.100461i | ||||
\(167\) | 7.25804 | 0.561644 | 0.280822 | − | 0.959760i | \(-0.409393\pi\) | ||||
0.280822 | + | 0.959760i | \(0.409393\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.17093 | 0.0900713 | ||||||||
\(170\) | 11.5947 | − | 1.39723i | 0.889276 | − | 0.107163i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.72572 | − | 19.3231i | −0.360332 | − | 1.47337i | ||||
\(173\) | −1.07114 | + | 0.618425i | −0.0814375 | + | 0.0470180i | −0.540166 | − | 0.841559i | \(-0.681638\pi\) |
0.458728 | + | 0.888577i | \(0.348305\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.23008 | + | 3.66394i | 0.244171 | + | 0.276968i | ||||
\(176\) | 0.734572 | − | 16.7266i | 0.0553705 | − | 1.26081i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −20.3078 | + | 15.2317i | −1.52214 | + | 1.14166i | ||||
\(179\) | −8.80192 | + | 15.2454i | −0.657886 | + | 1.13949i | 0.323275 | + | 0.946305i | \(0.395216\pi\) |
−0.981162 | + | 0.193188i | \(0.938117\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.4773 | −1.22475 | −0.612376 | − | 0.790567i | \(-0.709786\pi\) | ||||
−0.612376 | + | 0.790567i | \(0.709786\pi\) | |||||||
\(182\) | −13.7911 | − | 2.86345i | −1.02226 | − | 0.212253i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −10.2327 | − | 8.40100i | −0.754361 | − | 0.619330i | ||||
\(185\) | −2.98986 | + | 5.17859i | −0.219819 | + | 0.380737i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.73176 | − | 16.8559i | −0.711657 | − | 1.23263i | ||||
\(188\) | −0.936981 | − | 0.979033i | −0.0683364 | − | 0.0714033i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.0621906 | + | 0.145602i | −0.00451178 | + | 0.0105631i | ||||
\(191\) | −14.2159 | + | 8.20758i | −1.02863 | + | 0.593880i | −0.916592 | − | 0.399824i | \(-0.869071\pi\) |
−0.112038 | + | 0.993704i | \(0.535738\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.7627 | + | 20.3736i | −0.846696 | + | 1.46652i | 0.0374435 | + | 0.999299i | \(0.488079\pi\) |
−0.884140 | + | 0.467222i | \(0.845255\pi\) | |||||||
\(194\) | −5.96142 | + | 0.718387i | −0.428005 | + | 0.0515772i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 12.8428 | + | 5.57339i | 0.917342 | + | 0.398099i | ||||
\(197\) | 0.792724 | 0.0564792 | 0.0282396 | − | 0.999601i | \(-0.491010\pi\) | ||||
0.0282396 | + | 0.999601i | \(0.491010\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.9922 | + | 6.34632i | 0.779213 | + | 0.449879i | 0.836151 | − | 0.548499i | \(-0.184800\pi\) |
−0.0569382 | + | 0.998378i | \(0.518134\pi\) | |||||||
\(200\) | 5.15179 | + | 0.851576i | 0.364287 | + | 0.0602155i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.33260 | + | 5.46115i | −0.164121 | + | 0.384245i | ||||
\(203\) | −5.46292 | + | 16.2317i | −0.383421 | + | 1.13925i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 12.4006 | − | 7.15948i | 0.866095 | − | 0.500040i | ||||
\(206\) | −11.0861 | − | 14.7807i | −0.772408 | − | 1.02982i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −13.3581 | + | 6.94947i | −0.926220 | + | 0.481859i | ||||
\(209\) | 0.263868 | 0.0182521 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 18.9821i | 1.30678i | 0.757020 | + | 0.653392i | \(0.226655\pi\) | ||||
−0.757020 | + | 0.653392i | \(0.773345\pi\) | |||||||
\(212\) | 2.64494 | − | 9.07008i | 0.181655 | − | 0.622936i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 11.8815 | − | 8.91157i | 0.812200 | − | 0.609182i | ||||
\(215\) | 8.83184 | + | 15.2972i | 0.602326 | + | 1.04326i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 15.2372 | − | 13.4329i | 1.03437 | − | 0.911884i | ||||
\(218\) | 1.40986 | − | 3.30079i | 0.0954876 | − | 0.223558i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.53178 | + | 14.4412i | 0.238112 | + | 0.973623i | ||||
\(221\) | −8.75236 | + | 15.1595i | −0.588747 | + | 1.01974i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.56676i | 0.573673i | 0.957980 | + | 0.286836i | \(0.0926036\pi\) | ||||
−0.957980 | + | 0.286836i | \(0.907396\pi\) | |||||||
\(224\) | 14.4043 | − | 4.06398i | 0.962428 | − | 0.271536i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.40952 | + | 0.772386i | −0.426355 | + | 0.0513783i | ||||
\(227\) | 12.3870 | + | 7.15164i | 0.822155 | + | 0.474671i | 0.851159 | − | 0.524908i | \(-0.175900\pi\) |
−0.0290044 | + | 0.999579i | \(0.509234\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.0246 | + | 24.2914i | 0.926774 | + | 1.60522i | 0.788683 | + | 0.614800i | \(0.210763\pi\) |
0.138091 | + | 0.990420i | \(0.455903\pi\) | |||||||
\(230\) | 10.8112 | + | 4.61775i | 0.712867 | + | 0.304485i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.44602 | + | 17.1366i | 0.423202 | + | 1.12507i | ||||
\(233\) | 7.52792 | − | 4.34625i | 0.493170 | − | 0.284732i | −0.232718 | − | 0.972544i | \(-0.574762\pi\) |
0.725889 | + | 0.687812i | \(0.241429\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.04210 | + | 0.601657i | 0.0679792 | + | 0.0392478i | ||||
\(236\) | −14.4821 | − | 4.22314i | −0.942702 | − | 0.274903i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 11.5810 | − | 12.9846i | 0.750682 | − | 0.841668i | ||||
\(239\) | − | 12.4878i | − | 0.807772i | −0.914809 | − | 0.403886i | \(-0.867659\pi\) | ||
0.914809 | − | 0.403886i | \(-0.132341\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 20.0923 | + | 11.6003i | 1.29426 | + | 0.747240i | 0.979406 | − | 0.201900i | \(-0.0647117\pi\) |
0.314852 | + | 0.949141i | \(0.398045\pi\) | |||||||
\(242\) | 7.37628 | − | 5.53250i | 0.474165 | − | 0.355642i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 19.9988 | + | 20.8963i | 1.28029 | + | 1.33775i | ||||
\(245\) | −12.3333 | − | 1.55851i | −0.787944 | − | 0.0995697i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.118656 | − | 0.205518i | −0.00754991 | − | 0.0130768i | ||||
\(248\) | 3.54144 | − | 21.4247i | 0.224882 | − | 1.36047i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −17.0707 | + | 2.05712i | −1.07965 | + | 0.130104i | ||||
\(251\) | − | 13.9698i | − | 0.881768i | −0.897564 | − | 0.440884i | \(-0.854665\pi\) | ||
0.897564 | − | 0.440884i | \(-0.145335\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 19.5926i | − | 1.23178i | ||||||
\(254\) | 1.41476 | + | 11.7402i | 0.0887699 | + | 0.736643i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 9.18391 | − | 13.1018i | 0.573994 | − | 0.818859i | ||||
\(257\) | −11.8457 | − | 20.5174i | −0.738915 | − | 1.27984i | −0.952984 | − | 0.303020i | \(-0.902005\pi\) |
0.214069 | − | 0.976819i | \(-0.431328\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.76069 | + | 8.73287i | 0.109404 | + | 0.542634i | ||||
\(260\) | 9.65959 | − | 9.24469i | 0.599063 | − | 0.573331i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 5.34890 | + | 7.13148i | 0.330456 | + | 0.440585i | ||||
\(263\) | −13.5097 | − | 7.79983i | −0.833044 | − | 0.480958i | 0.0218497 | − | 0.999761i | \(-0.493044\pi\) |
−0.854894 | + | 0.518803i | \(0.826378\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.38927i | 0.515349i | ||||||||
\(266\) | 0.0739474 | + | 0.223986i | 0.00453401 | + | 0.0137334i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −12.5899 | − | 3.67137i | −0.769051 | − | 0.224264i | ||||
\(269\) | 27.5546 | + | 15.9086i | 1.68003 | + | 0.969966i | 0.961635 | + | 0.274332i | \(0.0884566\pi\) |
0.718396 | + | 0.695635i | \(0.244877\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.16789 | − | 4.71573i | 0.496164 | − | 0.286460i | −0.230964 | − | 0.972962i | \(-0.574188\pi\) |
0.727128 | + | 0.686502i | \(0.240855\pi\) | |||||||
\(272\) | 0.816065 | − | 18.5822i | 0.0494812 | − | 1.12671i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.27825 | − | 17.0400i | 0.439695 | − | 1.02942i | ||||
\(275\) | 3.86369 | + | 6.69211i | 0.232989 | + | 0.403549i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 23.1275 | + | 13.3527i | 1.38960 | + | 0.802284i | 0.993270 | − | 0.115825i | \(-0.0369513\pi\) |
0.396327 | + | 0.918109i | \(0.370285\pi\) | |||||||
\(278\) | 3.23377 | + | 26.8349i | 0.193949 | + | 1.60945i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −11.2687 | + | 7.04502i | −0.673433 | + | 0.421020i | ||||
\(281\) | 26.1930i | 1.56254i | 0.624193 | + | 0.781271i | \(0.285428\pi\) | ||||
−0.624193 | + | 0.781271i | \(0.714572\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.62071 | − | 4.53920i | 0.155785 | − | 0.269827i | −0.777560 | − | 0.628809i | \(-0.783543\pi\) |
0.933345 | + | 0.358982i | \(0.116876\pi\) | |||||||
\(284\) | 2.42601 | + | 9.91978i | 0.143957 | + | 0.588630i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −20.4923 | − | 8.75282i | −1.21174 | − | 0.517565i | ||||
\(287\) | 6.80454 | − | 20.2181i | 0.401659 | − | 1.19343i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.31140 | − | 4.00346i | −0.135964 | − | 0.235497i | ||||
\(290\) | −9.75480 | − | 13.0057i | −0.572821 | − | 0.763721i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.86736 | − | 0.836155i | −0.167799 | − | 0.0489323i | ||||
\(293\) | − | 8.29435i | − | 0.484561i | −0.970206 | − | 0.242280i | \(-0.922105\pi\) | ||
0.970206 | − | 0.242280i | \(-0.0778954\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.3950 | 0.779888 | ||||||||
\(296\) | 7.36075 | + | 6.04317i | 0.427835 | + | 0.351252i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −4.96450 | + | 3.72357i | −0.287586 | + | 0.215701i | ||||
\(299\) | −15.2600 | + | 8.81039i | −0.882511 | + | 0.509518i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 24.9407 | + | 8.39399i | 1.43756 | + | 0.483821i | ||||
\(302\) | 3.57464 | + | 1.52683i | 0.205697 | + | 0.0878589i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.212637 | + | 0.135541i | 0.0121956 | + | 0.00777382i | ||||
\(305\) | −22.2424 | − | 12.8417i | −1.27360 | − | 0.735312i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −17.8873 | −1.02088 | −0.510442 | − | 0.859912i | \(-0.670518\pi\) | ||||
−0.510442 | + | 0.859912i | \(0.670518\pi\) | |||||||
\(308\) | 18.1744 | + | 12.6590i | 1.03558 | + | 0.721312i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.30694 | + | 19.1438i | 0.131025 | + | 1.08729i | ||||
\(311\) | 0.257495 | − | 0.445994i | 0.0146012 | − | 0.0252900i | −0.858632 | − | 0.512592i | \(-0.828685\pi\) |
0.873234 | + | 0.487302i | \(0.162019\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.1970 | − | 11.6607i | 1.14160 | − | 0.659104i | 0.194775 | − | 0.980848i | \(-0.437602\pi\) |
0.946827 | + | 0.321744i | \(0.104269\pi\) | |||||||
\(314\) | −1.74045 | − | 0.743395i | −0.0982195 | − | 0.0419522i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 16.5799 | + | 17.3240i | 0.932689 | + | 0.974549i | ||||
\(317\) | −10.4926 | − | 18.1736i | −0.589321 | − | 1.02073i | −0.994322 | − | 0.106417i | \(-0.966062\pi\) |
0.405001 | − | 0.914316i | \(-0.367271\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −13.5473 | + | 23.4646i | −0.758503 | + | 1.31376i | ||||
\(320\) | −4.57192 | + | 13.4515i | −0.255578 | + | 0.751964i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 16.6313 | − | 5.49071i | 0.926824 | − | 0.305985i | ||||
\(323\) | 0.293141 | 0.0163108 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.47485 | − | 6.01861i | 0.192750 | − | 0.333853i | ||||
\(326\) | 3.24267 | + | 4.32333i | 0.179595 | + | 0.239447i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −8.02909 | − | 21.3452i | −0.443332 | − | 1.17859i | ||||
\(329\) | 1.75734 | − | 0.354308i | 0.0968852 | − | 0.0195336i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.16441 | − | 4.71372i | 0.448756 | − | 0.259090i | −0.258548 | − | 0.965998i | \(-0.583244\pi\) |
0.707305 | + | 0.706909i | \(0.249911\pi\) | |||||||
\(332\) | 3.63466 | + | 14.8618i | 0.199478 | + | 0.815649i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.22804 | + | 10.1907i | 0.0671953 | + | 0.557610i | ||||
\(335\) | 11.6449 | 0.636229 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.8141 | −0.806977 | −0.403488 | − | 0.914985i | \(-0.632202\pi\) | ||||
−0.403488 | + | 0.914985i | \(0.632202\pi\) | |||||||
\(338\) | 0.198117 | + | 1.64405i | 0.0107762 | + | 0.0894244i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.92359 | + | 16.0432i | 0.212787 | + | 0.870067i | ||||
\(341\) | 27.8304 | − | 16.0679i | 1.50710 | − | 0.870125i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.3183 | + | 10.4091i | −0.827111 | + | 0.562038i | ||||
\(344\) | 26.3311 | − | 9.90457i | 1.41968 | − | 0.534019i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.04954 | − | 1.39931i | −0.0564235 | − | 0.0752274i | ||||
\(347\) | −10.9642 | + | 18.9905i | −0.588587 | + | 1.01946i | 0.405830 | + | 0.913948i | \(0.366982\pi\) |
−0.994418 | + | 0.105515i | \(0.966351\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −34.9301 | −1.86977 | −0.934884 | − | 0.354954i | \(-0.884497\pi\) | ||||
−0.934884 | + | 0.354954i | \(0.884497\pi\) | |||||||
\(350\) | −4.59785 | + | 5.15514i | −0.245766 | + | 0.275554i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 23.6093 | − | 1.79871i | 1.25838 | − | 0.0958715i | ||||
\(353\) | −3.71324 | + | 6.43152i | −0.197636 | + | 0.342315i | −0.947761 | − | 0.318980i | \(-0.896660\pi\) |
0.750126 | + | 0.661295i | \(0.229993\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.53395 | − | 7.85303i | −0.240637 | − | 0.416796i | ||||
\(356\) | −24.8222 | − | 25.9362i | −1.31557 | − | 1.37462i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −22.8946 | − | 9.77891i | −1.21002 | − | 0.516832i | ||||
\(359\) | −6.73364 | + | 3.88767i | −0.355388 | + | 0.205183i | −0.667056 | − | 0.745008i | \(-0.732446\pi\) |
0.311668 | + | 0.950191i | \(0.399112\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.49801 | − | 16.4510i | 0.499895 | − | 0.865844i | ||||
\(362\) | −2.78792 | − | 23.1351i | −0.146530 | − | 1.21595i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.68703 | − | 19.8479i | 0.0884246 | − | 1.04031i | ||||
\(365\) | 2.65213 | 0.138819 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.99509 | − | 4.03862i | −0.365141 | − | 0.210814i | 0.306193 | − | 0.951970i | \(-0.400945\pi\) |
−0.671333 | + | 0.741155i | \(0.734278\pi\) | |||||||
\(368\) | 10.0641 | − | 15.7886i | 0.524629 | − | 0.823040i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −7.77690 | − | 3.32173i | −0.404302 | − | 0.172688i | ||||
\(371\) | 8.26513 | + | 9.37530i | 0.429104 | + | 0.486741i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −24.1708 | + | 13.9550i | −1.25152 | + | 0.722563i | −0.971410 | − | 0.237407i | \(-0.923703\pi\) |
−0.280105 | + | 0.959969i | \(0.590369\pi\) | |||||||
\(374\) | 22.0201 | − | 16.5159i | 1.13863 | − | 0.854017i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.21608 | − | 1.48122i | 0.0627147 | − | 0.0763883i | ||||
\(377\) | 24.3678 | 1.25500 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 29.0460i | − | 1.49199i | −0.665949 | − | 0.745997i | \(-0.731973\pi\) | ||
0.665949 | − | 0.745997i | \(-0.268027\pi\) | |||||||
\(380\) | −0.214956 | − | 0.0626836i | −0.0110270 | − | 0.00321560i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −13.9292 | − | 18.5713i | −0.712679 | − | 0.950189i | ||||
\(383\) | 5.63040 | + | 9.75214i | 0.287700 | + | 0.498311i | 0.973260 | − | 0.229705i | \(-0.0737760\pi\) |
−0.685560 | + | 0.728016i | \(0.740443\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −18.6395 | − | 6.27327i | −0.949958 | − | 0.319716i | ||||
\(386\) | −30.5958 | − | 13.0683i | −1.55729 | − | 0.665160i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.01731 | − | 8.24862i | −0.102413 | − | 0.418760i | ||||
\(389\) | 2.51811 | − | 4.36149i | 0.127673 | − | 0.221136i | −0.795102 | − | 0.606476i | \(-0.792583\pi\) |
0.922775 | + | 0.385340i | \(0.125916\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 21.7662i | − | 1.10076i | ||||||
\(392\) | −5.65238 | + | 18.9750i | −0.285488 | + | 0.958382i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.134127 | + | 1.11303i | 0.00675720 | + | 0.0560736i | ||||
\(395\) | −18.4399 | − | 10.6463i | −0.927814 | − | 0.535674i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.8771 | + | 24.0358i | 0.696471 | + | 1.20632i | 0.969682 | + | 0.244369i | \(0.0785808\pi\) |
−0.273211 | + | 0.961954i | \(0.588086\pi\) | |||||||
\(398\) | −7.05075 | + | 16.5074i | −0.353422 | + | 0.827440i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.323993 | + | 7.37748i | −0.0161996 | + | 0.368874i | ||||
\(401\) | −3.70394 | + | 2.13847i | −0.184966 | + | 0.106790i | −0.589624 | − | 0.807678i | \(-0.700724\pi\) |
0.404658 | + | 0.914468i | \(0.367391\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −25.0295 | − | 14.4508i | −1.24681 | − | 0.719846i | ||||
\(404\) | −8.06242 | − | 2.35110i | −0.401121 | − | 0.116971i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −23.7146 | − | 4.92387i | −1.17694 | − | 0.244368i | ||||
\(407\) | 14.0937i | 0.698600i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.6093 | + | 7.85734i | 0.672937 | + | 0.388521i | 0.797189 | − | 0.603730i | \(-0.206320\pi\) |
−0.124251 | + | 0.992251i | \(0.539653\pi\) | |||||||
\(410\) | 12.1505 | + | 16.1998i | 0.600068 | + | 0.800049i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 18.8772 | − | 18.0664i | 0.930015 | − | 0.890069i | ||||
\(413\) | 14.9694 | − | 13.1968i | 0.736596 | − | 0.649373i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.79278 | − | 11.7654i | −0.333444 | − | 0.577543i | ||||
\(416\) | −12.0176 | − | 17.5797i | −0.589211 | − | 0.861917i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.0446457 | + | 0.370485i | 0.00218369 | + | 0.0181210i | ||||
\(419\) | − | 38.0838i | − | 1.86052i | −0.366904 | − | 0.930259i | \(-0.619582\pi\) | ||
0.366904 | − | 0.930259i | \(-0.380418\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 15.7506i | − | 0.767635i | −0.923409 | − | 0.383818i | \(-0.874609\pi\) | ||
0.923409 | − | 0.383818i | \(-0.125391\pi\) | |||||||
\(422\) | −26.6520 | + | 3.21172i | −1.29740 | + | 0.156344i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 13.1824 | + | 2.17902i | 0.640195 | + | 0.105822i | ||||
\(425\) | 4.29232 | + | 7.43452i | 0.208208 | + | 0.360627i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −37.5083 | + | 7.56230i | −1.81516 | + | 0.365965i | ||||
\(428\) | 14.5226 | + | 15.1744i | 0.701978 | + | 0.733483i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −19.9838 | + | 14.9886i | −0.963704 | + | 0.722816i | ||||
\(431\) | 6.36898 | + | 3.67713i | 0.306783 | + | 0.177121i | 0.645486 | − | 0.763772i | \(-0.276655\pi\) |
−0.338703 | + | 0.940893i | \(0.609988\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 8.06468i | − | 0.387564i | −0.981045 | − | 0.193782i | \(-0.937925\pi\) | ||
0.981045 | − | 0.193782i | \(-0.0620754\pi\) | |||||||
\(434\) | 21.4386 | + | 19.1210i | 1.02909 | + | 0.917840i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.87303 | + | 1.42103i | 0.233376 | + | 0.0680552i | ||||
\(437\) | 0.255551 | + | 0.147542i | 0.0122247 | + | 0.00705791i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.02415 | + | 2.90069i | −0.239790 | + | 0.138443i | −0.615080 | − | 0.788465i | \(-0.710876\pi\) |
0.375290 | + | 0.926907i | \(0.377543\pi\) | |||||||
\(440\) | −19.6786 | + | 7.40221i | −0.938142 | + | 0.352887i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −22.7657 | − | 9.72385i | −1.08285 | − | 0.462516i | ||||
\(443\) | −7.82446 | − | 13.5524i | −0.371751 | − | 0.643892i | 0.618084 | − | 0.786112i | \(-0.287909\pi\) |
−0.989835 | + | 0.142220i | \(0.954576\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 27.6069 | + | 15.9389i | 1.30869 | + | 0.755575i | ||||
\(446\) | −12.0282 | + | 1.44947i | −0.569552 | + | 0.0686344i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 8.14322 | + | 19.5368i | 0.384731 | + | 0.923029i | ||||
\(449\) | − | 34.7839i | − | 1.64155i | −0.571250 | − | 0.820776i | \(-0.693541\pi\) | ||
0.571250 | − | 0.820776i | \(-0.306459\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 16.8743 | − | 29.2272i | 0.794582 | − | 1.37626i | ||||
\(452\) | −2.16894 | − | 8.86864i | −0.102019 | − | 0.417146i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −7.94546 | + | 18.6021i | −0.372899 | + | 0.873039i | ||||
\(455\) | 3.49577 | + | 17.3387i | 0.163884 | + | 0.812851i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.38911 | − | 9.33422i | −0.252092 | − | 0.436636i | 0.712010 | − | 0.702170i | \(-0.247785\pi\) |
−0.964102 | + | 0.265533i | \(0.914452\pi\) | |||||||
\(458\) | −31.7335 | + | 23.8014i | −1.48281 | + | 1.11217i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4.65435 | + | 15.9608i | −0.217010 | + | 0.744176i | ||||
\(461\) | − | 19.5062i | − | 0.908494i | −0.890876 | − | 0.454247i | \(-0.849908\pi\) | ||
0.890876 | − | 0.454247i | \(-0.150092\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −27.2099 | −1.26455 | −0.632275 | − | 0.774744i | \(-0.717879\pi\) | ||||
−0.632275 | + | 0.774744i | \(0.717879\pi\) | |||||||
\(464\) | −22.9701 | + | 11.9500i | −1.06636 | + | 0.554767i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.37607 | + | 9.83425i | 0.341690 | + | 0.455563i | ||||
\(467\) | −29.3243 | + | 16.9304i | −1.35697 | + | 0.783445i | −0.989214 | − | 0.146479i | \(-0.953206\pi\) |
−0.367752 | + | 0.929924i | \(0.619872\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.0136 | − | 11.4726i | 0.600911 | − | 0.529755i | ||||
\(470\) | −0.668440 | + | 1.56497i | −0.0308328 | + | 0.0721865i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.47920 | − | 21.0482i | 0.160143 | − | 0.968820i | ||||
\(473\) | 36.0543 | + | 20.8160i | 1.65778 | + | 0.957118i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.116382 | −0.00533999 | ||||||||
\(476\) | 20.1906 | + | 14.0633i | 0.925435 | + | 0.644593i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 17.5336 | − | 2.11291i | 0.801970 | − | 0.0966421i | ||||
\(479\) | 0.640883 | − | 1.11004i | 0.0292827 | − | 0.0507191i | −0.851013 | − | 0.525145i | \(-0.824011\pi\) |
0.880295 | + | 0.474426i | \(0.157344\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.9772 | − | 6.33766i | 0.500515 | − | 0.288973i | ||||
\(482\) | −12.8879 | + | 30.1734i | −0.587028 | + | 1.37436i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 9.01598 | + | 9.42062i | 0.409817 | + | 0.428210i | ||||
\(485\) | 3.77013 | + | 6.53005i | 0.171193 | + | 0.296515i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.5313 | + | 19.9728i | −0.522534 | + | 0.905055i | 0.477122 | + | 0.878837i | \(0.341680\pi\) |
−0.999656 | + | 0.0262185i | \(0.991653\pi\) | |||||||
\(488\) | −25.9559 | + | 31.6150i | −1.17497 | + | 1.43114i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.101483 | − | 17.5803i | 0.00458454 | − | 0.794197i | ||||
\(491\) | 33.6759 | 1.51977 | 0.759886 | − | 0.650057i | \(-0.225255\pi\) | ||||
0.759886 | + | 0.650057i | \(0.225255\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −15.0502 | + | 26.0677i | −0.677827 | + | 1.17403i | ||||
\(494\) | 0.268483 | − | 0.201373i | 0.0120796 | − | 0.00906019i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 30.6807 | + | 1.34739i | 1.37760 | + | 0.0604994i | ||||
\(497\) | −12.8037 | − | 4.30917i | −0.574323 | − | 0.193293i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.15436 | + | 2.97587i | −0.230741 | + | 0.133218i | −0.610914 | − | 0.791697i | \(-0.709198\pi\) |
0.380173 | + | 0.924915i | \(0.375865\pi\) | |||||||
\(500\) | −5.77662 | − | 23.6202i | −0.258338 | − | 1.05633i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 19.6144 | − | 2.36365i | 0.875435 | − | 0.105495i | ||||
\(503\) | 1.41791 | 0.0632214 | 0.0316107 | − | 0.999500i | \(-0.489936\pi\) | ||||
0.0316107 | + | 0.999500i | \(0.489936\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.45725 | 0.331843 | ||||||||
\(506\) | 27.5091 | − | 3.31501i | 1.22293 | − | 0.147370i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −16.2445 | + | 3.97280i | −0.720732 | + | 0.176265i | ||||
\(509\) | 7.25269 | − | 4.18734i | 0.321470 | − | 0.185601i | −0.330578 | − | 0.943779i | \(-0.607244\pi\) |
0.652048 | + | 0.758178i | \(0.273910\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.96385 | − | 2.61289i | 0.131113 | − | 0.115587i | ||||
\(512\) | 19.9495 | + | 10.6779i | 0.881651 | + | 0.471903i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 26.8033 | − | 20.1035i | 1.18224 | − | 0.886728i | ||||
\(515\) | −11.6009 | + | 20.0933i | −0.511195 | + | 0.885416i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.83612 | 0.124732 | ||||||||
\(518\) | −11.9635 | + | 3.94968i | −0.525647 | + | 0.173539i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 14.6144 | + | 11.9984i | 0.640885 | + | 0.526166i | ||||
\(521\) | −11.7714 | + | 20.3887i | −0.515715 | + | 0.893244i | 0.484119 | + | 0.875002i | \(0.339140\pi\) |
−0.999834 | + | 0.0182421i | \(0.994193\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.4448 | − | 25.0191i | −0.631626 | − | 1.09401i | −0.987219 | − | 0.159368i | \(-0.949054\pi\) |
0.355593 | − | 0.934641i | \(-0.384279\pi\) | |||||||
\(524\) | −9.10798 | + | 8.71677i | −0.397884 | + | 0.380794i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.66560 | − | 20.2881i | 0.377838 | − | 0.884603i | ||||
\(527\) | 30.9179 | − | 17.8504i | 1.34680 | − | 0.777577i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.544750 | + | 0.943535i | −0.0236848 | + | 0.0410233i | ||||
\(530\) | −11.7790 | + | 1.41944i | −0.511647 | + | 0.0616565i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.301977 | + | 0.141724i | −0.0130923 | + | 0.00614451i | ||||
\(533\) | −30.3522 | −1.31470 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −16.1519 | − | 9.32532i | −0.698309 | − | 0.403169i | ||||
\(536\) | 3.02463 | − | 18.2981i | 0.130644 | − | 0.790358i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −17.6745 | + | 41.3798i | −0.762000 | + | 1.78401i | ||||
\(539\) | −27.0108 | + | 11.3531i | −1.16344 | + | 0.489014i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.78575 | + | 1.03100i | −0.0767754 | + | 0.0443263i | −0.537896 | − | 0.843011i | \(-0.680781\pi\) |
0.461121 | + | 0.887337i | \(0.347447\pi\) | |||||||
\(542\) | 8.00314 | + | 10.6703i | 0.343764 | + | 0.458328i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 26.2285 | − | 1.99825i | 1.12454 | − | 0.0856745i | ||||
\(545\) | −4.50726 | −0.193070 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 35.7819i | 1.52992i | 0.644076 | + | 0.764962i | \(0.277242\pi\) | ||||
−0.644076 | + | 0.764962i | \(0.722758\pi\) | |||||||
\(548\) | 25.1566 | + | 7.33595i | 1.07464 | + | 0.313376i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −8.74237 | + | 6.55712i | −0.372776 | + | 0.279597i | ||||
\(551\) | −0.204036 | − | 0.353401i | −0.00869224 | − | 0.0150554i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −31.0960 | + | 6.26947i | −1.32234 | + | 0.266605i | ||||
\(554\) | −14.8348 | + | 34.7315i | −0.630270 | + | 1.47560i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −37.1306 | + | 9.08079i | −1.57469 | + | 0.385111i | ||||
\(557\) | 11.9748 | − | 20.7409i | 0.507388 | − | 0.878821i | −0.492576 | − | 0.870270i | \(-0.663945\pi\) |
0.999963 | − | 0.00855174i | \(-0.00272214\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 37.4421i | − | 1.58363i | ||||||
\(560\) | −11.7982 | − | 14.6299i | −0.498566 | − | 0.618225i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −36.7764 | + | 4.43177i | −1.55132 | + | 0.186943i | ||||
\(563\) | −22.4987 | − | 12.9896i | −0.948206 | − | 0.547447i | −0.0556830 | − | 0.998448i | \(-0.517734\pi\) |
−0.892523 | + | 0.451001i | \(0.851067\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.05352 | + | 7.02090i | 0.170533 | + | 0.295371i | ||||
\(566\) | 6.81671 | + | 2.91160i | 0.286528 | + | 0.122384i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −13.5174 | + | 5.08465i | −0.567179 | + | 0.213347i | ||||
\(569\) | 15.4525 | − | 8.92150i | 0.647802 | − | 0.374009i | −0.139812 | − | 0.990178i | \(-0.544650\pi\) |
0.787614 | + | 0.616169i | \(0.211316\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 15.9523 | + | 9.21009i | 0.667585 | + | 0.385430i | 0.795161 | − | 0.606398i | \(-0.207386\pi\) |
−0.127576 | + | 0.991829i | \(0.540720\pi\) | |||||||
\(572\) | 8.82221 | − | 30.2533i | 0.368875 | − | 1.26495i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 29.5386 | + | 6.13312i | 1.23292 | + | 0.255991i | ||||
\(575\) | 8.64157i | 0.360378i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −17.5485 | − | 10.1317i | −0.730556 | − | 0.421786i | 0.0880698 | − | 0.996114i | \(-0.471930\pi\) |
−0.818625 | + | 0.574328i | \(0.805263\pi\) | |||||||
\(578\) | 5.22999 | − | 3.92270i | 0.217539 | − | 0.163163i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 16.6103 | − | 15.8968i | 0.689703 | − | 0.660079i | ||||
\(581\) | −19.1825 | − | 6.45602i | −0.795825 | − | 0.267841i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.88642 | + | 17.1238i | 0.409454 | + | 0.709195i | ||||
\(584\) | 0.688860 | − | 4.16740i | 0.0285052 | − | 0.172448i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 11.6457 | − | 1.40338i | 0.481080 | − | 0.0579730i | ||||
\(587\) | − | 3.63501i | − | 0.150033i | −0.997182 | − | 0.0750164i | \(-0.976099\pi\) | ||
0.997182 | − | 0.0750164i | \(-0.0239009\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.483999i | 0.0199428i | ||||||||
\(590\) | 2.26640 | + | 18.8074i | 0.0933061 | + | 0.774287i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −7.23953 | + | 11.3574i | −0.297543 | + | 0.466786i | ||||
\(593\) | −10.4731 | − | 18.1399i | −0.430078 | − | 0.744918i | 0.566801 | − | 0.823855i | \(-0.308181\pi\) |
−0.996880 | + | 0.0789370i | \(0.974847\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −20.7074 | − | 6.96922i | −0.848920 | − | 0.285710i | ||||
\(596\) | −6.06808 | − | 6.34042i | −0.248558 | − | 0.259714i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −14.9522 | − | 19.9353i | −0.611442 | − | 0.815214i | ||||
\(599\) | −1.58346 | − | 0.914209i | −0.0646983 | − | 0.0373536i | 0.467302 | − | 0.884098i | \(-0.345226\pi\) |
−0.532000 | + | 0.846744i | \(0.678559\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 29.7207i | − | 1.21233i | −0.795338 | − | 0.606166i | \(-0.792707\pi\) | ||
0.795338 | − | 0.606166i | \(-0.207293\pi\) | |||||||
\(602\) | −7.56573 | + | 36.4384i | −0.308356 | + | 1.48512i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.53893 | + | 5.27733i | −0.0626182 | + | 0.214731i | ||||
\(605\) | −10.0275 | − | 5.78937i | −0.407675 | − | 0.235371i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.04013 | + | 2.90992i | −0.204573 | + | 0.118110i | −0.598787 | − | 0.800909i | \(-0.704350\pi\) |
0.394214 | + | 0.919019i | \(0.371017\pi\) | |||||||
\(608\) | −0.154330 | + | 0.321488i | −0.00625890 | + | 0.0130381i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 14.2671 | − | 33.4024i | 0.577657 | − | 1.35242i | ||||
\(611\) | −1.27534 | − | 2.20896i | −0.0515949 | − | 0.0893650i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.81649 | − | 3.93550i | −0.275316 | − | 0.158954i | 0.355985 | − | 0.934492i | \(-0.384145\pi\) |
−0.631301 | + | 0.775538i | \(0.717479\pi\) | |||||||
\(614\) | −3.02648 | − | 25.1148i | −0.122139 | − | 1.01355i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −14.6989 | + | 27.6597i | −0.592234 | + | 1.11444i | ||||
\(617\) | 8.93676i | 0.359781i | 0.983687 | + | 0.179890i | \(0.0575743\pi\) | ||||
−0.983687 | + | 0.179890i | \(0.942426\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.80163 | + | 6.58462i | −0.152801 | + | 0.264658i | −0.932256 | − | 0.361799i | \(-0.882163\pi\) |
0.779455 | + | 0.626458i | \(0.215496\pi\) | |||||||
\(620\) | −26.4886 | + | 6.47815i | −1.06381 | + | 0.260169i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0.669768 | + | 0.286076i | 0.0268552 | + | 0.0114706i | ||||
\(623\) | 46.5547 | − | 9.38620i | 1.86518 | − | 0.376050i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.18050 | + | 10.7049i | 0.247220 | + | 0.428197i | ||||
\(626\) | 19.7896 | + | 26.3848i | 0.790952 | + | 1.05455i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.749289 | − | 2.56947i | 0.0298999 | − | 0.102533i | ||||
\(629\) | 15.6573i | 0.624296i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 49.9909 | 1.99010 | 0.995052 | − | 0.0993517i | \(-0.0316769\pi\) | ||||
0.995052 | + | 0.0993517i | \(0.0316769\pi\) | |||||||
\(632\) | −21.5185 | + | 26.2102i | −0.855962 | + | 1.04259i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 23.7415 | − | 17.8071i | 0.942895 | − | 0.707209i | ||||
\(635\) | 12.8600 | − | 7.42473i | 0.510334 | − | 0.294641i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 20.9888 | + | 15.9326i | 0.831606 | + | 0.631271i | ||||
\(638\) | −35.2378 | − | 15.0510i | −1.39508 | − | 0.595875i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −19.6603 | − | 4.14327i | −0.777140 | − | 0.163777i | ||||
\(641\) | −34.4319 | − | 19.8793i | −1.35998 | − | 0.785184i | −0.370358 | − | 0.928889i | \(-0.620765\pi\) |
−0.989621 | + | 0.143705i | \(0.954098\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 28.7989 | 1.13572 | 0.567858 | − | 0.823126i | \(-0.307772\pi\) | ||||
0.567858 | + | 0.823126i | \(0.307772\pi\) | |||||||
\(644\) | 10.5232 | + | 22.4222i | 0.414673 | + | 0.883559i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.0495986 | + | 0.411587i | 0.00195143 | + | 0.0161937i | ||||
\(647\) | −13.1134 | + | 22.7130i | −0.515540 | + | 0.892941i | 0.484298 | + | 0.874903i | \(0.339075\pi\) |
−0.999837 | + | 0.0180376i | \(0.994258\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 27.3413 | − | 15.7855i | 1.07324 | − | 0.619635i | ||||
\(650\) | 9.03840 | + | 3.86055i | 0.354515 | + | 0.151423i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5.52155 | + | 5.28438i | −0.216240 | + | 0.206952i | ||||
\(653\) | −3.12639 | − | 5.41506i | −0.122345 | − | 0.211908i | 0.798347 | − | 0.602198i | \(-0.205708\pi\) |
−0.920692 | + | 0.390290i | \(0.872375\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.59724 | − | 9.69470i | 0.218702 | − | 0.378803i | ||||
\(656\) | 28.6113 | − | 14.8848i | 1.11708 | − | 0.581155i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.794805 | + | 2.40745i | 0.0309847 | + | 0.0938523i | ||||
\(659\) | 32.2081 | 1.25465 | 0.627326 | − | 0.778757i | \(-0.284150\pi\) | ||||
0.627326 | + | 0.778757i | \(0.284150\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.81544 | − | 15.2688i | 0.342881 | − | 0.593887i | −0.642085 | − | 0.766633i | \(-0.721931\pi\) |
0.984966 | + | 0.172746i | \(0.0552639\pi\) | |||||||
\(662\) | 7.99972 | + | 10.6657i | 0.310918 | + | 0.414535i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −20.2519 | + | 7.61784i | −0.785925 | + | 0.295630i | ||||
\(665\) | 0.222189 | − | 0.195879i | 0.00861613 | − | 0.00759586i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −26.2406 | + | 15.1500i | −1.01604 | + | 0.586611i | ||||
\(668\) | −14.1005 | + | 3.44847i | −0.545566 | + | 0.133425i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.97028 | + | 16.3501i | 0.0761186 | + | 0.631659i | ||||
\(671\) | −60.5336 | −2.33687 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −32.0260 | −1.23451 | −0.617256 | − | 0.786762i | \(-0.711756\pi\) | ||||
−0.617256 | + | 0.786762i | \(0.711756\pi\) | |||||||
\(674\) | −2.50651 | − | 20.7999i | −0.0965470 | − | 0.801180i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.27481 | + | 0.556336i | −0.0874928 | + | 0.0213975i | ||||
\(677\) | 20.5345 | − | 11.8556i | 0.789205 | − | 0.455648i | −0.0504774 | − | 0.998725i | \(-0.516074\pi\) |
0.839683 | + | 0.543077i | \(0.182741\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.6467 | + | 3.58322i | 0.408582 | + | 0.137511i | ||||
\(680\) | −21.8618 | + | 8.22341i | −0.838360 | + | 0.315353i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 27.2690 | + | 36.3568i | 1.04419 | + | 1.39217i | ||||
\(683\) | 9.16325 | − | 15.8712i | 0.350622 | − | 0.607295i | −0.635737 | − | 0.771906i | \(-0.719304\pi\) |
0.986359 | + | 0.164611i | \(0.0526369\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −23.2683 | −0.889035 | ||||||||
\(686\) | −17.2068 | − | 19.7466i | −0.656957 | − | 0.753928i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 18.3617 | + | 35.2945i | 0.700034 | + | 1.34559i | ||||
\(689\) | 8.89145 | − | 15.4004i | 0.338737 | − | 0.586710i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −20.3501 | − | 35.2473i | −0.774153 | − | 1.34087i | −0.935269 | − | 0.353937i | \(-0.884843\pi\) |
0.161116 | − | 0.986935i | \(-0.448491\pi\) | |||||||
\(692\) | 1.78713 | − | 1.71037i | 0.0679365 | − | 0.0650184i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −28.5188 | − | 12.1812i | −1.08256 | − | 0.462391i | ||||
\(695\) | 29.3946 | − | 16.9710i | 1.11500 | − | 0.643746i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.7464 | − | 32.4697i | 0.710069 | − | 1.22988i | ||||
\(698\) | −5.91008 | − | 49.0439i | −0.223700 | − | 1.85634i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.01604 | − | 5.58341i | −0.302978 | − | 0.211033i | ||||
\(701\) | 12.2653 | 0.463255 | 0.231628 | − | 0.972805i | \(-0.425595\pi\) | ||||
0.231628 | + | 0.972805i | \(0.425595\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.183828 | − | 0.106133i | −0.00693321 | − | 0.00400289i | ||||
\(704\) | 6.52012 | + | 32.8445i | 0.245736 | + | 1.23787i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −9.65848 | − | 4.12540i | −0.363502 | − | 0.155262i | ||||
\(707\) | 8.33373 | − | 7.34690i | 0.313422 | − | 0.276309i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.83014 | + | 3.36604i | −0.218956 | + | 0.126414i | −0.605467 | − | 0.795871i | \(-0.707013\pi\) |
0.386511 | + | 0.922285i | \(0.373680\pi\) | |||||||
\(710\) | 10.2590 | − | 7.69463i | 0.385012 | − | 0.288774i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 32.2160 | − | 39.2400i | 1.20735 | − | 1.47058i | ||||
\(713\) | 35.9376 | 1.34587 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 27.9824i | 1.04648i | ||||||||
\(716\) | 9.85644 | − | 33.7999i | 0.368352 | − | 1.26316i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −6.59782 | − | 8.79663i | −0.246228 | − | 0.328287i | ||||
\(719\) | 1.45947 | + | 2.52788i | 0.0544291 | + | 0.0942739i | 0.891956 | − | 0.452122i | \(-0.149333\pi\) |
−0.837527 | + | 0.546396i | \(0.815999\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.83160 | + | 33.8841i | 0.254422 | + | 1.26191i | ||||
\(722\) | 24.7052 | + | 10.5523i | 0.919433 | + | 0.392715i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 32.0113 | − | 7.82878i | 1.18969 | − | 0.290954i | ||||
\(725\) | 5.97521 | − | 10.3494i | 0.221914 | − | 0.384366i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.12734i | 0.115987i | 0.998317 | + | 0.0579933i | \(0.0184702\pi\) | ||||
−0.998317 | + | 0.0579933i | \(0.981530\pi\) | |||||||
\(728\) | 28.1530 | − | 0.989520i | 1.04342 | − | 0.0366741i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.448732 | + | 3.72374i | 0.0166083 | + | 0.137822i | ||||
\(731\) | 40.0541 | + | 23.1252i | 1.48145 | + | 0.855318i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.93077 | + | 6.80830i | 0.145186 | + | 0.251470i | 0.929442 | − | 0.368967i | \(-0.120288\pi\) |
−0.784256 | + | 0.620437i | \(0.786955\pi\) | |||||||
\(734\) | 4.48689 | − | 10.5048i | 0.165614 | − | 0.387740i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 23.8710 | + | 11.4592i | 0.879895 | + | 0.422392i | ||||
\(737\) | 23.7690 | − | 13.7231i | 0.875543 | − | 0.505495i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.01186 | − | 0.584195i | −0.0372217 | − | 0.0214900i | 0.481274 | − | 0.876570i | \(-0.340174\pi\) |
−0.518495 | + | 0.855080i | \(0.673508\pi\) | |||||||
\(740\) | 3.34806 | − | 11.4812i | 0.123077 | − | 0.422058i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −11.7650 | + | 13.1910i | −0.431907 | + | 0.484256i | ||||
\(743\) | 6.12199i | 0.224594i | 0.993675 | + | 0.112297i | \(0.0358208\pi\) | ||||
−0.993675 | + | 0.112297i | \(0.964179\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 6.74886 | + | 3.89645i | 0.247259 | + | 0.142755i | ||||
\(746\) | −23.6832 | − | 31.5760i | −0.867104 | − | 1.15608i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 26.9150 | + | 28.1229i | 0.984109 | + | 1.02828i | ||||
\(749\) | −27.2377 | + | 5.49156i | −0.995243 | + | 0.200657i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 20.8430 | + | 36.1012i | 0.760573 | + | 1.31735i | 0.942556 | + | 0.334049i | \(0.108415\pi\) |
−0.181983 | + | 0.983302i | \(0.558252\pi\) | |||||||
\(752\) | 2.28548 | + | 1.45683i | 0.0833428 | + | 0.0531251i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.12295 | + | 34.2137i | 0.150149 | + | 1.24599i | ||||
\(755\) | − | 4.88120i | − | 0.177645i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 35.8599i | − | 1.30335i | −0.758498 | − | 0.651676i | \(-0.774066\pi\) | ||
0.758498 | − | 0.651676i | \(-0.225934\pi\) | |||||||
\(758\) | 40.7822 | − | 4.91450i | 1.48128 | − | 0.178503i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.0516414 | − | 0.312416i | 0.00187323 | − | 0.0113325i | ||||
\(761\) | 4.88971 | + | 8.46923i | 0.177252 | + | 0.307009i | 0.940938 | − | 0.338578i | \(-0.109946\pi\) |
−0.763686 | + | 0.645587i | \(0.776613\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.03702 | + | 4.44056i | −0.182352 | + | 0.160759i | ||||
\(764\) | 23.7183 | − | 22.6996i | 0.858099 | − | 0.821241i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −12.7399 | + | 9.55543i | −0.460311 | + | 0.345252i | ||||
\(767\) | −24.5897 | − | 14.1968i | −0.887881 | − | 0.512619i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 54.2218i | 1.95529i | 0.210269 | + | 0.977644i | \(0.432566\pi\) | ||||
−0.210269 | + | 0.977644i | \(0.567434\pi\) | |||||||
\(770\) | 5.65427 | − | 27.2324i | 0.203766 | − | 0.981386i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 13.1719 | − | 45.1694i | 0.474068 | − | 1.62568i | ||||
\(773\) | 20.8017 | + | 12.0099i | 0.748185 | + | 0.431965i | 0.825038 | − | 0.565078i | \(-0.191154\pi\) |
−0.0768527 | + | 0.997042i | \(0.524487\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −12.2750 | + | 7.08696i | −0.440930 | + | 0.254571i | ||||
\(776\) | 11.2402 | − | 4.22806i | 0.403500 | − | 0.151778i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.54983 | + | 2.79761i | 0.234823 | + | 0.100299i | ||||
\(779\) | 0.254145 | + | 0.440193i | 0.00910570 | + | 0.0157715i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −18.5090 | − | 10.6862i | −0.662303 | − | 0.382381i | ||||
\(782\) | 30.5609 | − | 3.68277i | 1.09286 | − | 0.131696i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −27.5983 | − | 4.72575i | −0.985654 | − | 0.168777i | ||||
\(785\) | 2.37661i | 0.0848247i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 13.5019 | − | 23.3859i | 0.481290 | − | 0.833619i | −0.518479 | − | 0.855090i | \(-0.673502\pi\) |
0.999769 | + | 0.0214714i | \(0.00683508\pi\) | |||||||
\(788\) | −1.54006 | + | 0.376642i | −0.0548624 | + | 0.0134173i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 11.8280 | − | 27.6920i | 0.420822 | − | 0.985238i | ||||
\(791\) | 11.4470 | + | 3.85256i | 0.407007 | + | 0.136981i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 27.2208 | + | 47.1477i | 0.966637 | + | 1.67426i | ||||
\(794\) | −31.3997 | + | 23.5510i | −1.11433 | + | 0.835793i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −24.3702 | − | 7.10665i | −0.863780 | − | 0.251888i | ||||
\(797\) | 30.6501i | 1.08568i | 0.839835 | + | 0.542841i | \(0.182651\pi\) | ||||
−0.839835 | + | 0.542841i | \(0.817349\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.15075 | 0.111466 | ||||||||
\(800\) | −10.4132 | + | 0.793344i | −0.368163 | + | 0.0280490i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −3.62923 | − | 4.83871i | −0.128152 | − | 0.170861i | ||||
\(803\) | 5.41340 | − | 3.12543i | 0.191035 | − | 0.110294i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −14.5443 | − | 16.4979i | −0.512620 | − | 0.581474i | ||||
\(806\) | 16.0548 | − | 37.5879i | 0.565507 | − | 1.32398i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.93693 | − | 11.7179i | 0.0681411 | − | 0.412234i | ||||
\(809\) | 10.5996 | + | 6.11967i | 0.372661 | + | 0.215156i | 0.674620 | − | 0.738165i | \(-0.264307\pi\) |
−0.301959 | + | 0.953321i | \(0.597641\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 51.5601 | 1.81052 | 0.905260 | − | 0.424858i | \(-0.139676\pi\) | ||||
0.905260 | + | 0.424858i | \(0.139676\pi\) | |||||||
\(812\) | 2.90096 | − | 34.1297i | 0.101804 | − | 1.19772i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −19.7884 | + | 2.38462i | −0.693582 | + | 0.0835808i | ||||
\(815\) | 3.39322 | − | 5.87723i | 0.118859 | − | 0.205870i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.543015 | + | 0.313510i | −0.0189977 | + | 0.0109683i | ||||
\(818\) | −8.72949 | + | 20.4377i | −0.305219 | + | 0.714587i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −20.6895 | + | 19.8009i | −0.722510 | + | 0.691476i | ||||
\(821\) | 22.3477 | + | 38.7073i | 0.779940 | + | 1.35090i | 0.931976 | + | 0.362520i | \(0.118084\pi\) |
−0.152036 | + | 0.988375i | \(0.548583\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.91299 | − | 15.4378i | 0.310687 | − | 0.538126i | −0.667824 | − | 0.744319i | \(-0.732774\pi\) |
0.978511 | + | 0.206193i | \(0.0661075\pi\) | |||||||
\(824\) | 28.5602 | + | 23.4479i | 0.994943 | + | 0.816847i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 21.0618 | + | 18.7850i | 0.732835 | + | 0.653614i | ||||
\(827\) | −44.4781 | −1.54665 | −0.773327 | − | 0.634007i | \(-0.781409\pi\) | ||||
−0.773327 | + | 0.634007i | \(0.781409\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −6.86797 | + | 11.8957i | −0.238534 | + | 0.413154i | −0.960294 | − | 0.278990i | \(-0.910000\pi\) |
0.721760 | + | 0.692144i | \(0.243334\pi\) | |||||||
\(830\) | 15.3700 | − | 11.5281i | 0.533501 | − | 0.400147i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 22.6496 | − | 19.8478i | 0.785233 | − | 0.688099i | ||||
\(833\) | −30.0073 | + | 12.6126i | −1.03969 | + | 0.437002i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11.1627 | − | 6.44481i | 0.386303 | − | 0.223032i | ||||
\(836\) | −0.512628 | + | 0.125370i | −0.0177296 | + | 0.00433601i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 53.4718 | − | 6.44367i | 1.84715 | − | 0.222593i | ||||
\(839\) | 18.7998 | 0.649040 | 0.324520 | − | 0.945879i | \(-0.394797\pi\) | ||||
0.324520 | + | 0.945879i | \(0.394797\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.9019 | 0.444892 | ||||||||
\(842\) | 22.1147 | − | 2.66495i | 0.762122 | − | 0.0918402i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −9.01887 | − | 36.8774i | −0.310442 | − | 1.26937i | ||||
\(845\) | 1.80086 | − | 1.03973i | 0.0619516 | − | 0.0357678i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −16.9098 | + | 3.40928i | −0.581026 | + | 0.117144i | ||||
\(848\) | −0.829034 | + | 18.8775i | −0.0284691 | + | 0.648257i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −9.71224 | + | 7.28456i | −0.333127 | + | 0.249858i | ||||
\(851\) | −7.88055 | + | 13.6495i | −0.270142 | + | 0.467899i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.23719 | −0.145079 | −0.0725393 | − | 0.997366i | \(-0.523110\pi\) | ||||
−0.0725393 | + | 0.997366i | \(0.523110\pi\) | |||||||
\(854\) | −16.9642 | − | 51.3843i | −0.580503 | − | 1.75833i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −18.8485 | + | 22.9581i | −0.644230 | + | 0.784691i | ||||
\(857\) | −6.78696 | + | 11.7554i | −0.231838 | + | 0.401556i | −0.958349 | − | 0.285599i | \(-0.907807\pi\) |
0.726511 | + | 0.687155i | \(0.241141\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 14.8653 | + | 25.7475i | 0.507198 | + | 0.878494i | 0.999965 | + | 0.00833211i | \(0.00265222\pi\) |
−0.492767 | + | 0.870161i | \(0.664014\pi\) | |||||||
\(860\) | −24.4261 | − | 25.5223i | −0.832922 | − | 0.870304i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −4.08528 | + | 9.56456i | −0.139145 | + | 0.325770i | ||||
\(863\) | −26.7055 | + | 15.4184i | −0.909066 | + | 0.524849i | −0.880130 | − | 0.474732i | \(-0.842545\pi\) |
−0.0289352 | + | 0.999581i | \(0.509212\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.09827 | + | 1.90225i | −0.0373422 | + | 0.0646785i | ||||
\(866\) | 11.3233 | − | 1.36452i | 0.384780 | − | 0.0463683i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −23.2197 | + | 33.3362i | −0.788127 | + | 1.13151i | ||||
\(869\) | −50.1850 | −1.70241 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −21.3769 | − | 12.3420i | −0.724329 | − | 0.418191i | ||||
\(872\) | −1.17071 | + | 7.08245i | −0.0396452 | + | 0.239842i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.163919 | + | 0.383772i | −0.00554466 | + | 0.0129813i | ||||
\(875\) | 30.4871 | + | 10.2606i | 1.03065 | + | 0.346873i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10.0815 | + | 5.82055i | −0.340428 | + | 0.196546i | −0.660461 | − | 0.750860i | \(-0.729639\pi\) |
0.320033 | + | 0.947406i | \(0.396306\pi\) | |||||||
\(878\) | −4.92281 | − | 6.56340i | −0.166137 | − | 0.221504i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −13.7227 | − | 26.3775i | −0.462592 | − | 0.889184i | ||||
\(881\) | −23.5879 | −0.794698 | −0.397349 | − | 0.917668i | \(-0.630070\pi\) | ||||
−0.397349 | + | 0.917668i | \(0.630070\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 39.4950i | 1.32911i | 0.747239 | + | 0.664556i | \(0.231379\pi\) | ||||
−0.747239 | + | 0.664556i | \(0.768621\pi\) | |||||||
\(884\) | 9.80094 | − | 33.6095i | 0.329641 | − | 1.13041i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 17.7044 | − | 13.2790i | 0.594791 | − | 0.446117i | ||||
\(887\) | −27.3283 | − | 47.3340i | −0.917595 | − | 1.58932i | −0.803058 | − | 0.595901i | \(-0.796795\pi\) |
−0.114537 | − | 0.993419i | \(-0.536538\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.05664 | − | 20.9671i | 0.236672 | − | 0.703214i | ||||
\(890\) | −17.7081 | + | 41.4585i | −0.593576 | + | 1.38969i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −4.07027 | − | 16.6430i | −0.136283 | − | 0.557250i | ||||
\(893\) | −0.0213575 | + | 0.0369922i | −0.000714700 | + | 0.00123790i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 31.2628i | 1.04500i | ||||||||
\(896\) | −26.0530 | + | 14.7391i | −0.870370 | + | 0.492399i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 48.8385 | − | 5.88533i | 1.62976 | − | 0.196396i | ||||
\(899\) | −43.0398 | − | 24.8490i | −1.43546 | − | 0.828762i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 10.9832 | + | 19.0235i | 0.365904 | + | 0.633764i | ||||
\(902\) | 43.8917 | + | 18.7474i | 1.46143 | + | 0.624219i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 12.0851 | − | 4.54587i | 0.401944 | − | 0.151193i | ||||
\(905\) | −25.3419 | + | 14.6311i | −0.842392 | + | 0.486355i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.80208 | + | 4.50453i | 0.259064 | + | 0.149571i | 0.623907 | − | 0.781498i | \(-0.285544\pi\) |
−0.364844 | + | 0.931069i | \(0.618878\pi\) | |||||||
\(908\) | −27.4627 | − | 8.00845i | −0.911382 | − | 0.265770i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −23.7530 | + | 7.84191i | −0.787405 | + | 0.259957i | ||||
\(911\) | − | 35.3463i | − | 1.17107i | −0.810646 | − | 0.585537i | \(-0.800884\pi\) | ||
0.810646 | − | 0.585537i | \(-0.199116\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −27.7302 | − | 16.0100i | −0.917736 | − | 0.529855i | ||||
\(914\) | 12.1939 | − | 9.14594i | 0.403340 | − | 0.302521i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −38.7877 | − | 40.5285i | −1.28158 | − | 1.33910i | ||||
\(917\) | −3.29614 | − | 16.3486i | −0.108848 | − | 0.539878i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −10.9416 | − | 18.9514i | −0.360931 | − | 0.625150i | 0.627184 | − | 0.778871i | \(-0.284208\pi\) |
−0.988114 | + | 0.153721i | \(0.950874\pi\) | |||||||
\(920\) | −23.1973 | − | 3.83445i | −0.764794 | − | 0.126418i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 27.3878 | − | 3.30039i | 0.901969 | − | 0.108693i | ||||
\(923\) | 19.2214i | 0.632680i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 6.21623i | − | 0.204388i | ||||||
\(926\) | −4.60383 | − | 38.2042i | −0.151291 | − | 1.25547i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −20.6650 | − | 30.2294i | −0.678362 | − | 0.992329i | ||||
\(929\) | −4.66786 | − | 8.08497i | −0.153148 | − | 0.265259i | 0.779235 | − | 0.626731i | \(-0.215608\pi\) |
−0.932383 | + | 0.361472i | \(0.882274\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.0553236 | − | 0.437803i | 0.00181316 | − | 0.0143484i | ||||
\(932\) | −12.5598 | + | 12.0203i | −0.411411 | + | 0.393739i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −28.7328 | − | 38.3084i | −0.940165 | − | 1.25349i | ||||
\(935\) | −29.9346 | − | 17.2827i | −0.978965 | − | 0.565206i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 14.0652i | − | 0.459492i | −0.973251 | − | 0.229746i | \(-0.926211\pi\) | ||
0.973251 | − | 0.229746i | \(-0.0737895\pi\) | |||||||
\(938\) | 18.3100 | + | 16.3307i | 0.597843 | + | 0.533215i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.31040 | − | 0.673739i | −0.0753569 | − | 0.0219749i | ||||
\(941\) | 34.5165 | + | 19.9281i | 1.12521 | + | 0.649638i | 0.942725 | − | 0.333571i | \(-0.108254\pi\) |
0.182481 | + | 0.983209i | \(0.441587\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 32.6850 | − | 18.8707i | 1.06437 | − | 0.614513i | ||||
\(944\) | 30.1415 | + | 1.32371i | 0.981021 | + | 0.0430830i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −23.1265 | + | 54.1442i | −0.751907 | + | 1.76038i | ||||
\(947\) | 10.3155 | + | 17.8669i | 0.335208 | + | 0.580598i | 0.983525 | − | 0.180773i | \(-0.0578600\pi\) |
−0.648317 | + | 0.761371i | \(0.724527\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.86860 | − | 2.81088i | −0.158041 | − | 0.0912452i | ||||
\(950\) | −0.0196916 | − | 0.163407i | −0.000638879 | − | 0.00530164i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −16.3295 | + | 30.7282i | −0.529243 | + | 0.995907i | ||||
\(953\) | 36.6133i | 1.18602i | 0.805194 | + | 0.593011i | \(0.202061\pi\) | ||||
−0.805194 | + | 0.593011i | \(0.797939\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −14.5759 | + | 25.2462i | −0.471665 | + | 0.816948i | ||||
\(956\) | 5.93328 | + | 24.2607i | 0.191896 | + | 0.784647i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.66700 | + | 0.712019i | 0.0538582 | + | 0.0230043i | ||||
\(959\) | −26.0031 | + | 22.9240i | −0.839684 | + | 0.740254i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.9724 | + | 24.2010i | 0.450724 | + | 0.780677i | ||||
\(962\) | 10.7557 | + | 14.3402i | 0.346779 | + | 0.462347i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −44.5458 | − | 12.9901i | −1.43472 | − | 0.418382i | ||||
\(965\) | 41.7789i | 1.34491i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10.0693 | −0.323808 | −0.161904 | − | 0.986806i | \(-0.551764\pi\) | ||||
−0.161904 | + | 0.986806i | \(0.551764\pi\) | |||||||
\(968\) | −11.7016 | + | 14.2529i | −0.376104 | + | 0.458105i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −8.53067 | + | 6.39834i | −0.273903 | + | 0.205438i | ||||
\(971\) | −2.76132 | + | 1.59425i | −0.0886149 | + | 0.0511618i | −0.543653 | − | 0.839310i | \(-0.682959\pi\) |
0.455038 | + | 0.890472i | \(0.349626\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 16.1296 | − | 47.9253i | 0.517092 | − | 1.53642i | ||||
\(974\) | −29.9940 | − | 12.8113i | −0.961071 | − | 0.410500i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −48.7809 | − | 31.0943i | −1.56144 | − | 0.995306i | ||||
\(977\) | −3.60255 | − | 2.07994i | −0.115256 | − | 0.0665430i | 0.441264 | − | 0.897377i | \(-0.354530\pi\) |
−0.556520 | + | 0.830834i | \(0.687864\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 75.1334 | 2.40127 | ||||||||
\(980\) | 24.7009 | − | 2.83205i | 0.789041 | − | 0.0904664i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 5.69786 | + | 47.2828i | 0.181826 | + | 1.50886i | ||||
\(983\) | 10.4374 | − | 18.0782i | 0.332902 | − | 0.576604i | −0.650177 | − | 0.759783i | \(-0.725305\pi\) |
0.983080 | + | 0.183179i | \(0.0586387\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.21919 | − | 0.703903i | 0.0388468 | − | 0.0224282i | ||||
\(986\) | −39.1470 | − | 16.7208i | −1.24669 | − | 0.532497i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.328165 | + | 0.342893i | 0.0104403 | + | 0.0109089i | ||||
\(989\) | 23.2786 | + | 40.3197i | 0.740216 | + | 1.28209i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.31063 | − | 10.9303i | 0.200464 | − | 0.347213i | −0.748214 | − | 0.663457i | \(-0.769088\pi\) |
0.948678 | + | 0.316244i | \(0.102422\pi\) | |||||||
\(992\) | 3.29927 | + | 43.3053i | 0.104752 | + | 1.37495i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 3.88397 | − | 18.7062i | 0.123192 | − | 0.593324i | ||||
\(995\) | 22.5410 | 0.714597 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 9.23934 | − | 16.0030i | 0.292613 | − | 0.506820i | −0.681814 | − | 0.731526i | \(-0.738809\pi\) |
0.974427 | + | 0.224705i | \(0.0721420\pi\) | |||||||
\(998\) | −5.05040 | − | 6.73351i | −0.159867 | − | 0.213145i | ||||
\(999\) | 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 | 504.2.ch.b.269.15 | yes | 56 | |
3.2 | odd | 2 | inner | 504.2.ch.b.269.14 | yes | 56 | |
4.3 | odd | 2 | 2016.2.cp.b.17.21 | 56 | |||
7.5 | odd | 6 | inner | 504.2.ch.b.341.24 | yes | 56 | |
8.3 | odd | 2 | 2016.2.cp.b.17.8 | 56 | |||
8.5 | even | 2 | inner | 504.2.ch.b.269.5 | ✓ | 56 | |
12.11 | even | 2 | 2016.2.cp.b.17.7 | 56 | |||
21.5 | even | 6 | inner | 504.2.ch.b.341.5 | yes | 56 | |
24.5 | odd | 2 | inner | 504.2.ch.b.269.24 | yes | 56 | |
24.11 | even | 2 | 2016.2.cp.b.17.22 | 56 | |||
28.19 | even | 6 | 2016.2.cp.b.593.22 | 56 | |||
56.5 | odd | 6 | inner | 504.2.ch.b.341.14 | yes | 56 | |
56.19 | even | 6 | 2016.2.cp.b.593.7 | 56 | |||
84.47 | odd | 6 | 2016.2.cp.b.593.8 | 56 | |||
168.5 | even | 6 | inner | 504.2.ch.b.341.15 | yes | 56 | |
168.131 | odd | 6 | 2016.2.cp.b.593.21 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.ch.b.269.5 | ✓ | 56 | 8.5 | even | 2 | inner | |
504.2.ch.b.269.14 | yes | 56 | 3.2 | odd | 2 | inner | |
504.2.ch.b.269.15 | yes | 56 | 1.1 | even | 1 | trivial | |
504.2.ch.b.269.24 | yes | 56 | 24.5 | odd | 2 | inner | |
504.2.ch.b.341.5 | yes | 56 | 21.5 | even | 6 | inner | |
504.2.ch.b.341.14 | yes | 56 | 56.5 | odd | 6 | inner | |
504.2.ch.b.341.15 | yes | 56 | 168.5 | even | 6 | inner | |
504.2.ch.b.341.24 | yes | 56 | 7.5 | odd | 6 | inner | |
2016.2.cp.b.17.7 | 56 | 12.11 | even | 2 | |||
2016.2.cp.b.17.8 | 56 | 8.3 | odd | 2 | |||
2016.2.cp.b.17.21 | 56 | 4.3 | odd | 2 | |||
2016.2.cp.b.17.22 | 56 | 24.11 | even | 2 | |||
2016.2.cp.b.593.7 | 56 | 56.19 | even | 6 | |||
2016.2.cp.b.593.8 | 56 | 84.47 | odd | 6 | |||
2016.2.cp.b.593.21 | 56 | 168.131 | odd | 6 | |||
2016.2.cp.b.593.22 | 56 | 28.19 | even | 6 |