Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(24,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([35, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.24");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cc (of order \(60\), degree \(16\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(560\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 24.18 | ||
Character | \(\chi\) | \(=\) | 403.24 |
Dual form | 403.2.cc.a.84.18 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{13}{30}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.216740 | + | 0.0113589i | −0.153258 | + | 0.00803193i | −0.128811 | − | 0.991669i | \(-0.541116\pi\) |
−0.0244475 | + | 0.999701i | \(0.507783\pi\) | |||||||
\(3\) | −2.41844 | + | 2.17758i | −1.39629 | + | 1.25722i | −0.468837 | + | 0.883285i | \(0.655327\pi\) |
−0.927453 | + | 0.373940i | \(0.878007\pi\) | |||||||
\(4\) | −1.94220 | + | 0.204133i | −0.971098 | + | 0.102067i | ||||
\(5\) | 1.43655 | − | 0.384922i | 0.642443 | − | 0.172142i | 0.0771335 | − | 0.997021i | \(-0.475423\pi\) |
0.565310 | + | 0.824879i | \(0.308757\pi\) | |||||||
\(6\) | 0.499439 | − | 0.499439i | 0.203895 | − | 0.203895i | ||||
\(7\) | 0.462411 | − | 2.91955i | 0.174775 | − | 1.10348i | −0.731825 | − | 0.681493i | \(-0.761331\pi\) |
0.906600 | − | 0.421992i | \(-0.138669\pi\) | |||||||
\(8\) | 0.847363 | − | 0.134209i | 0.299588 | − | 0.0474501i | ||||
\(9\) | 0.793446 | − | 7.54913i | 0.264482 | − | 2.51638i | ||||
\(10\) | −0.306985 | + | 0.0997454i | −0.0970771 | + | 0.0315423i | ||||
\(11\) | −2.07647 | − | 0.328881i | −0.626080 | − | 0.0991613i | −0.164670 | − | 0.986349i | \(-0.552656\pi\) |
−0.461409 | + | 0.887187i | \(0.652656\pi\) | |||||||
\(12\) | 4.25258 | − | 4.72297i | 1.22761 | − | 1.36340i | ||||
\(13\) | −2.03709 | + | 2.97494i | −0.564988 | + | 0.825099i | ||||
\(14\) | −0.0670601 | + | 0.638035i | −0.0179226 | + | 0.170522i | ||||
\(15\) | −2.63601 | + | 4.05910i | −0.680616 | + | 1.04806i | ||||
\(16\) | 3.63831 | − | 0.773346i | 0.909576 | − | 0.193336i | ||||
\(17\) | 5.41442 | + | 3.93381i | 1.31319 | + | 0.954089i | 0.999990 | + | 0.00440207i | \(0.00140123\pi\) |
0.313201 | + | 0.949687i | \(0.398599\pi\) | |||||||
\(18\) | −0.0862219 | + | 1.64521i | −0.0203227 | + | 0.387780i | ||||
\(19\) | 1.87385 | − | 3.67765i | 0.429892 | − | 0.843710i | −0.569867 | − | 0.821737i | \(-0.693005\pi\) |
0.999759 | − | 0.0219728i | \(-0.00699472\pi\) | |||||||
\(20\) | −2.71148 | + | 1.04084i | −0.606306 | + | 0.232739i | ||||
\(21\) | 5.23922 | + | 8.06769i | 1.14329 | + | 1.76052i | ||||
\(22\) | 0.453790 | + | 0.0476952i | 0.0967483 | + | 0.0101687i | ||||
\(23\) | 0.360715 | − | 3.43198i | 0.0752144 | − | 0.715617i | −0.890319 | − | 0.455337i | \(-0.849519\pi\) |
0.965533 | − | 0.260279i | \(-0.0838147\pi\) | |||||||
\(24\) | −1.75705 | + | 2.16978i | −0.358656 | + | 0.442904i | ||||
\(25\) | −2.41462 | + | 1.39408i | −0.482925 | + | 0.278817i | ||||
\(26\) | 0.407728 | − | 0.667927i | 0.0799619 | − | 0.130991i | ||||
\(27\) | 8.78136 | + | 12.0865i | 1.68997 | + | 2.32605i | ||||
\(28\) | −0.302116 | + | 5.76473i | −0.0570946 | + | 1.08943i | ||||
\(29\) | 4.24830 | + | 3.82518i | 0.788889 | + | 0.710319i | 0.961540 | − | 0.274664i | \(-0.0885667\pi\) |
−0.172651 | + | 0.984983i | \(0.555233\pi\) | |||||||
\(30\) | 0.525222 | − | 0.909712i | 0.0958921 | − | 0.166090i | ||||
\(31\) | 4.00706 | − | 3.86568i | 0.719689 | − | 0.694297i | ||||
\(32\) | −2.43717 | + | 0.653037i | −0.430834 | + | 0.115442i | ||||
\(33\) | 5.73799 | − | 3.72630i | 0.998856 | − | 0.648665i | ||||
\(34\) | −1.21821 | − | 0.791112i | −0.208921 | − | 0.135675i | ||||
\(35\) | −0.459522 | − | 4.37206i | −0.0776734 | − | 0.739013i | ||||
\(36\) | 14.8239i | 2.47064i | ||||||||
\(37\) | 4.76200 | − | 1.27597i | 0.782867 | − | 0.209769i | 0.154819 | − | 0.987943i | \(-0.450521\pi\) |
0.628049 | + | 0.778174i | \(0.283854\pi\) | |||||||
\(38\) | −0.364365 | + | 0.818378i | −0.0591078 | + | 0.132758i | ||||
\(39\) | −1.55156 | − | 11.6306i | −0.248448 | − | 1.86239i | ||||
\(40\) | 1.16562 | − | 0.518966i | 0.184300 | − | 0.0820558i | ||||
\(41\) | 2.23780 | − | 4.39194i | 0.349486 | − | 0.685906i | −0.647617 | − | 0.761966i | \(-0.724234\pi\) |
0.997103 | + | 0.0760605i | \(0.0242342\pi\) | |||||||
\(42\) | −1.22719 | − | 1.68908i | −0.189359 | − | 0.260631i | ||||
\(43\) | −1.70205 | − | 5.23836i | −0.259560 | − | 0.798843i | −0.992897 | − | 0.118978i | \(-0.962038\pi\) |
0.733337 | − | 0.679865i | \(-0.237962\pi\) | |||||||
\(44\) | 4.10005 | + | 0.214875i | 0.618106 | + | 0.0323936i | ||||
\(45\) | −1.76600 | − | 11.1501i | −0.263260 | − | 1.66216i | ||||
\(46\) | −0.0391981 | + | 0.747944i | −0.00577944 | + | 0.110278i | ||||
\(47\) | 1.08011 | + | 2.11983i | 0.157550 | + | 0.309209i | 0.956266 | − | 0.292499i | \(-0.0944869\pi\) |
−0.798716 | + | 0.601708i | \(0.794487\pi\) | |||||||
\(48\) | −7.11502 | + | 9.79298i | −1.02696 | + | 1.41350i | ||||
\(49\) | −1.65253 | − | 0.536940i | −0.236076 | − | 0.0767057i | ||||
\(50\) | 0.507510 | − | 0.329581i | 0.0717728 | − | 0.0466098i | ||||
\(51\) | −21.6607 | + | 2.27663i | −3.03310 | + | 0.318792i | ||||
\(52\) | 3.34915 | − | 6.19375i | 0.464444 | − | 0.858919i | ||||
\(53\) | −0.0981252 | − | 0.220393i | −0.0134785 | − | 0.0302733i | 0.906681 | − | 0.421817i | \(-0.138608\pi\) |
−0.920159 | + | 0.391544i | \(0.871941\pi\) | |||||||
\(54\) | −2.04056 | − | 2.51988i | −0.277685 | − | 0.342912i | ||||
\(55\) | −3.10954 | + | 0.326826i | −0.419291 | + | 0.0440692i | ||||
\(56\) | − | 2.53598i | − | 0.338884i | ||||||
\(57\) | 3.47655 | + | 12.9746i | 0.460480 | + | 1.71853i | ||||
\(58\) | −0.964226 | − | 0.780814i | −0.126609 | − | 0.102526i | ||||
\(59\) | −3.29315 | − | 6.46317i | −0.428732 | − | 0.841433i | −0.999789 | − | 0.0205233i | \(-0.993467\pi\) |
0.571058 | − | 0.820910i | \(-0.306533\pi\) | |||||||
\(60\) | 4.29106 | − | 8.42167i | 0.553973 | − | 1.08723i | ||||
\(61\) | 4.03351 | + | 2.32875i | 0.516439 | + | 0.298166i | 0.735476 | − | 0.677550i | \(-0.236958\pi\) |
−0.219038 | + | 0.975716i | \(0.570292\pi\) | |||||||
\(62\) | −0.824580 | + | 0.883363i | −0.104722 | + | 0.112187i | ||||
\(63\) | −21.6731 | − | 5.80730i | −2.73056 | − | 0.731651i | ||||
\(64\) | −6.55426 | + | 2.12961i | −0.819283 | + | 0.266201i | ||||
\(65\) | −1.78126 | + | 5.05776i | −0.220938 | + | 0.627338i | ||||
\(66\) | −1.20133 | + | 0.872814i | −0.147873 | + | 0.107436i | ||||
\(67\) | 5.76602 | + | 5.76602i | 0.704431 | + | 0.704431i | 0.965359 | − | 0.260927i | \(-0.0840282\pi\) |
−0.260927 | + | 0.965359i | \(0.584028\pi\) | |||||||
\(68\) | −11.3189 | − | 6.53497i | −1.37262 | − | 0.792481i | ||||
\(69\) | 6.60103 | + | 9.08553i | 0.794670 | + | 1.09377i | ||||
\(70\) | 0.149258 | + | 0.942380i | 0.0178398 | + | 0.112636i | ||||
\(71\) | 6.29373 | − | 5.09656i | 0.746928 | − | 0.604850i | −0.178426 | − | 0.983953i | \(-0.557101\pi\) |
0.925355 | + | 0.379103i | \(0.123767\pi\) | |||||||
\(72\) | −0.340826 | − | 6.50335i | −0.0401667 | − | 0.766427i | ||||
\(73\) | 7.79372 | − | 9.62444i | 0.912186 | − | 1.12646i | −0.0793788 | − | 0.996845i | \(-0.525294\pi\) |
0.991565 | − | 0.129611i | \(-0.0413730\pi\) | |||||||
\(74\) | −1.01762 | + | 0.330645i | −0.118296 | + | 0.0384367i | ||||
\(75\) | 2.80391 | − | 8.62954i | 0.323768 | − | 0.996454i | ||||
\(76\) | −2.88866 | + | 7.52523i | −0.331352 | + | 0.863203i | ||||
\(77\) | −1.92036 | + | 5.91027i | −0.218846 | + | 0.673538i | ||||
\(78\) | 0.468396 | + | 2.50320i | 0.0530354 | + | 0.283432i | ||||
\(79\) | −9.79756 | − | 1.02977i | −1.10231 | − | 0.115858i | −0.464148 | − | 0.885758i | \(-0.653639\pi\) |
−0.638164 | + | 0.769900i | \(0.720306\pi\) | |||||||
\(80\) | 4.92892 | − | 2.51141i | 0.551070 | − | 0.280784i | ||||
\(81\) | −25.2820 | − | 5.37385i | −2.80911 | − | 0.597095i | ||||
\(82\) | −0.435134 | + | 0.977327i | −0.0480525 | + | 0.107928i | ||||
\(83\) | 11.0975 | − | 7.20679i | 1.21811 | − | 0.791048i | 0.234631 | − | 0.972085i | \(-0.424612\pi\) |
0.983476 | + | 0.181036i | \(0.0579452\pi\) | |||||||
\(84\) | −11.8225 | − | 14.5996i | −1.28994 | − | 1.59294i | ||||
\(85\) | 9.29229 | + | 3.56697i | 1.00789 | + | 0.386893i | ||||
\(86\) | 0.428404 | + | 1.11603i | 0.0461959 | + | 0.120345i | ||||
\(87\) | −18.6039 | −1.99455 | ||||||||
\(88\) | −1.80366 | −0.192271 | ||||||||
\(89\) | −3.44519 | − | 8.97503i | −0.365190 | − | 0.951352i | −0.985904 | − | 0.167315i | \(-0.946490\pi\) |
0.620714 | − | 0.784037i | \(-0.286843\pi\) | |||||||
\(90\) | 0.509416 | + | 2.39661i | 0.0536971 | + | 0.252625i | ||||
\(91\) | 7.74349 | + | 7.32303i | 0.811739 | + | 0.767662i | ||||
\(92\) | 6.73921i | 0.702611i | ||||||||
\(93\) | −1.27303 | + | 18.0746i | −0.132007 | + | 1.87425i | ||||
\(94\) | −0.258181 | − | 0.447183i | −0.0266294 | − | 0.0461234i | ||||
\(95\) | 1.27627 | − | 6.00440i | 0.130943 | − | 0.616038i | ||||
\(96\) | 4.47212 | − | 6.88645i | 0.456433 | − | 0.702846i | ||||
\(97\) | 2.13125 | − | 2.63187i | 0.216396 | − | 0.267226i | −0.657376 | − | 0.753563i | \(-0.728334\pi\) |
0.873772 | + | 0.486336i | \(0.161667\pi\) | |||||||
\(98\) | 0.364268 | + | 0.0976054i | 0.0367967 | + | 0.00985963i | ||||
\(99\) | −4.13033 | + | 15.4146i | −0.415114 | + | 1.54923i | ||||
\(100\) | 4.40510 | − | 3.20049i | 0.440510 | − | 0.320049i | ||||
\(101\) | 12.9528 | + | 1.36139i | 1.28885 | + | 0.135464i | 0.724041 | − | 0.689757i | \(-0.242282\pi\) |
0.564811 | + | 0.825220i | \(0.308949\pi\) | |||||||
\(102\) | 4.66887 | − | 0.739476i | 0.462287 | − | 0.0732191i | ||||
\(103\) | −1.52959 | + | 7.19614i | −0.150715 | + | 0.709057i | 0.836280 | + | 0.548303i | \(0.184726\pi\) |
−0.986995 | + | 0.160754i | \(0.948607\pi\) | |||||||
\(104\) | −1.32689 | + | 2.79425i | −0.130113 | + | 0.273999i | ||||
\(105\) | 10.6318 | + | 9.57293i | 1.03756 | + | 0.934223i | ||||
\(106\) | 0.0237711 | + | 0.0466534i | 0.00230885 | + | 0.00453137i | ||||
\(107\) | 11.5124 | − | 5.12567i | 1.11295 | − | 0.495517i | 0.233907 | − | 0.972259i | \(-0.424849\pi\) |
0.879043 | + | 0.476742i | \(0.158182\pi\) | |||||||
\(108\) | −19.5224 | − | 21.6818i | −1.87854 | − | 2.08633i | ||||
\(109\) | 0.0171409 | − | 0.00873370i | 0.00164180 | − | 0.000836537i | −0.453169 | − | 0.891424i | \(-0.649707\pi\) |
0.454811 | + | 0.890588i | \(0.349707\pi\) | |||||||
\(110\) | 0.670249 | − | 0.106157i | 0.0639058 | − | 0.0101217i | ||||
\(111\) | −8.73809 | + | 13.4555i | −0.829383 | + | 1.27714i | ||||
\(112\) | −0.575427 | − | 10.9798i | −0.0543728 | − | 1.03749i | ||||
\(113\) | 0.0282759 | + | 0.0125892i | 0.00265997 | + | 0.00118430i | 0.408066 | − | 0.912952i | \(-0.366203\pi\) |
−0.405406 | + | 0.914137i | \(0.632870\pi\) | |||||||
\(114\) | −0.900883 | − | 2.77263i | −0.0843755 | − | 0.259681i | ||||
\(115\) | −0.802858 | − | 5.06904i | −0.0748669 | − | 0.472691i | ||||
\(116\) | −9.03188 | − | 6.56204i | −0.838589 | − | 0.609270i | ||||
\(117\) | 20.8419 | + | 17.7387i | 1.92683 | + | 1.63995i | ||||
\(118\) | 0.787171 | + | 1.36342i | 0.0724650 | + | 0.125513i | ||||
\(119\) | 13.9886 | − | 13.9886i | 1.28234 | − | 1.28234i | ||||
\(120\) | −1.68889 | + | 3.79331i | −0.154174 | + | 0.346281i | ||||
\(121\) | −6.25805 | − | 2.03336i | −0.568914 | − | 0.184851i | ||||
\(122\) | −0.900676 | − | 0.458917i | −0.0815433 | − | 0.0415484i | ||||
\(123\) | 4.15178 | + | 15.4947i | 0.374353 | + | 1.39711i | ||||
\(124\) | −6.99338 | + | 8.32589i | −0.628024 | + | 0.747687i | ||||
\(125\) | −8.19024 | + | 8.19024i | −0.732557 | + | 0.732557i | ||||
\(126\) | 4.76340 | + | 1.01249i | 0.424357 | + | 0.0901999i | ||||
\(127\) | 9.92725 | + | 11.0253i | 0.880901 | + | 0.978340i | 0.999894 | − | 0.0145552i | \(-0.00463321\pi\) |
−0.118993 | + | 0.992895i | \(0.537967\pi\) | |||||||
\(128\) | 6.10749 | − | 2.34445i | 0.539831 | − | 0.207222i | ||||
\(129\) | 15.5233 | + | 8.96235i | 1.36675 | + | 0.789091i | ||||
\(130\) | 0.328620 | − | 1.11645i | 0.0288219 | − | 0.0979193i | ||||
\(131\) | −9.24958 | − | 4.11818i | −0.808139 | − | 0.359807i | −0.0392827 | − | 0.999228i | \(-0.512507\pi\) |
−0.768856 | + | 0.639421i | \(0.779174\pi\) | |||||||
\(132\) | −10.3836 | + | 8.40851i | −0.903781 | + | 0.731867i | ||||
\(133\) | −9.87057 | − | 7.17139i | −0.855887 | − | 0.621838i | ||||
\(134\) | −1.31522 | − | 1.18423i | −0.113618 | − | 0.102302i | ||||
\(135\) | 17.2672 | + | 13.9827i | 1.48612 | + | 1.20344i | ||||
\(136\) | 5.11594 | + | 2.60670i | 0.438688 | + | 0.223523i | ||||
\(137\) | −16.9968 | − | 11.0379i | −1.45214 | − | 0.943028i | −0.998660 | − | 0.0517600i | \(-0.983517\pi\) |
−0.453477 | − | 0.891268i | \(-0.649816\pi\) | |||||||
\(138\) | −1.53391 | − | 1.89422i | −0.130575 | − | 0.161247i | ||||
\(139\) | −13.7112 | + | 12.3457i | −1.16297 | + | 1.04715i | −0.164824 | + | 0.986323i | \(0.552706\pi\) |
−0.998149 | + | 0.0608225i | \(0.980628\pi\) | |||||||
\(140\) | 1.78496 | + | 8.39759i | 0.150857 | + | 0.709726i | ||||
\(141\) | −7.22828 | − | 2.77468i | −0.608731 | − | 0.233670i | ||||
\(142\) | −1.30621 | + | 1.17612i | −0.109615 | + | 0.0986976i | ||||
\(143\) | 5.20836 | − | 5.50741i | 0.435545 | − | 0.460553i | ||||
\(144\) | −2.95129 | − | 28.0797i | −0.245941 | − | 2.33997i | ||||
\(145\) | 7.57528 | + | 3.85980i | 0.629092 | + | 0.320539i | ||||
\(146\) | −1.57989 | + | 2.17453i | −0.130752 | + | 0.179965i | ||||
\(147\) | 5.16578 | − | 2.29995i | 0.426066 | − | 0.189697i | ||||
\(148\) | −8.98827 | + | 3.45027i | −0.738831 | + | 0.283611i | ||||
\(149\) | 0.306637 | + | 0.306637i | 0.0251207 | + | 0.0251207i | 0.719556 | − | 0.694435i | \(-0.244346\pi\) |
−0.694435 | + | 0.719556i | \(0.744346\pi\) | |||||||
\(150\) | −0.509697 | + | 1.90222i | −0.0416166 | + | 0.155315i | ||||
\(151\) | −3.01316 | − | 0.477237i | −0.245207 | − | 0.0388370i | 0.0326209 | − | 0.999468i | \(-0.489615\pi\) |
−0.277828 | + | 0.960631i | \(0.589615\pi\) | |||||||
\(152\) | 1.09426 | − | 3.36779i | 0.0887563 | − | 0.273164i | ||||
\(153\) | 33.9929 | − | 37.7529i | 2.74816 | − | 3.05214i | ||||
\(154\) | 0.349086 | − | 1.30281i | 0.0281301 | − | 0.104983i | ||||
\(155\) | 4.26834 | − | 7.09564i | 0.342842 | − | 0.569935i | ||||
\(156\) | 5.38763 | + | 22.2723i | 0.431356 | + | 1.78321i | ||||
\(157\) | 2.59940 | + | 8.00012i | 0.207454 | + | 0.638479i | 0.999604 | + | 0.0281515i | \(0.00896208\pi\) |
−0.792149 | + | 0.610327i | \(0.791038\pi\) | |||||||
\(158\) | 2.13522 | + | 0.111902i | 0.169869 | + | 0.00890245i | ||||
\(159\) | 0.717233 | + | 0.319333i | 0.0568803 | + | 0.0253247i | ||||
\(160\) | −3.24974 | + | 1.87624i | −0.256914 | + | 0.148330i | ||||
\(161\) | −9.85302 | − | 2.64011i | −0.776527 | − | 0.208070i | ||||
\(162\) | 5.54066 | + | 0.877554i | 0.435315 | + | 0.0689472i | ||||
\(163\) | −8.55047 | + | 22.2747i | −0.669725 | + | 1.74469i | −0.00232029 | + | 0.999997i | \(0.500739\pi\) |
−0.667404 | + | 0.744695i | \(0.732595\pi\) | |||||||
\(164\) | −3.44972 | + | 8.98682i | −0.269378 | + | 0.701753i | ||||
\(165\) | 6.80856 | − | 7.56168i | 0.530046 | − | 0.588676i | ||||
\(166\) | −2.32341 | + | 1.68805i | −0.180331 | + | 0.131018i | ||||
\(167\) | −9.08768 | − | 13.9938i | −0.703226 | − | 1.08287i | −0.992093 | − | 0.125504i | \(-0.959945\pi\) |
0.288867 | − | 0.957369i | \(-0.406721\pi\) | |||||||
\(168\) | 5.52228 | + | 6.13312i | 0.426053 | + | 0.473180i | ||||
\(169\) | −4.70050 | − | 12.1204i | −0.361577 | − | 0.932342i | ||||
\(170\) | −2.05453 | − | 0.667556i | −0.157575 | − | 0.0511992i | ||||
\(171\) | −26.2762 | − | 17.0640i | −2.00939 | − | 1.30492i | ||||
\(172\) | 4.37503 | + | 9.82649i | 0.333593 | + | 0.749263i | ||||
\(173\) | −1.65024 | − | 7.76377i | −0.125465 | − | 0.590268i | −0.995293 | − | 0.0969123i | \(-0.969103\pi\) |
0.869828 | − | 0.493356i | \(-0.164230\pi\) | |||||||
\(174\) | 4.03221 | − | 0.211319i | 0.305681 | − | 0.0160201i | ||||
\(175\) | 2.95354 | + | 7.69425i | 0.223267 | + | 0.581630i | ||||
\(176\) | −7.80917 | + | 0.409261i | −0.588639 | + | 0.0308492i | ||||
\(177\) | 22.0384 | + | 8.45973i | 1.65650 | + | 0.635872i | ||||
\(178\) | 0.848657 | + | 1.90611i | 0.0636095 | + | 0.142869i | ||||
\(179\) | 2.07205 | + | 19.7143i | 0.154872 | + | 1.47351i | 0.745466 | + | 0.666543i | \(0.232227\pi\) |
−0.590594 | + | 0.806969i | \(0.701106\pi\) | |||||||
\(180\) | 5.70603 | + | 21.2952i | 0.425302 | + | 1.58725i | ||||
\(181\) | −4.22210 | + | 7.31289i | −0.313826 | + | 0.543563i | −0.979187 | − | 0.202959i | \(-0.934944\pi\) |
0.665361 | + | 0.746522i | \(0.268278\pi\) | |||||||
\(182\) | −1.76151 | − | 1.49924i | −0.130571 | − | 0.111131i | ||||
\(183\) | −14.8259 | + | 3.15133i | −1.09596 | + | 0.232953i | ||||
\(184\) | −0.154946 | − | 2.95654i | −0.0114228 | − | 0.217959i | ||||
\(185\) | 6.34968 | − | 3.66599i | 0.466838 | − | 0.269529i | ||||
\(186\) | 0.0706088 | − | 3.93195i | 0.00517729 | − | 0.288305i | ||||
\(187\) | −9.94914 | − | 9.94914i | −0.727553 | − | 0.727553i | ||||
\(188\) | −2.53051 | − | 3.89664i | −0.184556 | − | 0.284192i | ||||
\(189\) | 39.3477 | − | 20.0487i | 2.86212 | − | 1.45832i | ||||
\(190\) | −0.208416 | + | 1.31589i | −0.0151201 | + | 0.0954647i | ||||
\(191\) | −9.06082 | − | 15.6938i | −0.655618 | − | 1.13556i | −0.981739 | − | 0.190235i | \(-0.939075\pi\) |
0.326121 | − | 0.945328i | \(-0.394258\pi\) | |||||||
\(192\) | 11.2137 | − | 19.4228i | 0.809281 | − | 1.40172i | ||||
\(193\) | 7.50595 | + | 6.07820i | 0.540290 | + | 0.437518i | 0.860220 | − | 0.509923i | \(-0.170326\pi\) |
−0.319930 | + | 0.947441i | \(0.603659\pi\) | |||||||
\(194\) | −0.432032 | + | 0.594641i | −0.0310181 | + | 0.0426927i | ||||
\(195\) | −6.70578 | − | 16.1107i | −0.480211 | − | 1.15371i | ||||
\(196\) | 3.31915 | + | 0.705506i | 0.237082 | + | 0.0503933i | ||||
\(197\) | 2.82345 | − | 17.8266i | 0.201163 | − | 1.27009i | −0.655888 | − | 0.754858i | \(-0.727706\pi\) |
0.857051 | − | 0.515232i | \(-0.172294\pi\) | |||||||
\(198\) | 0.720115 | − | 3.38788i | 0.0511764 | − | 0.240766i | ||||
\(199\) | 2.26666 | − | 0.481793i | 0.160679 | − | 0.0341534i | −0.126870 | − | 0.991919i | \(-0.540493\pi\) |
0.287549 | + | 0.957766i | \(0.407160\pi\) | |||||||
\(200\) | −1.85897 | + | 1.50536i | −0.131449 | + | 0.106445i | ||||
\(201\) | −26.5008 | − | 1.38885i | −1.86922 | − | 0.0979616i | ||||
\(202\) | −2.82285 | − | 0.147940i | −0.198615 | − | 0.0104090i | ||||
\(203\) | 13.1323 | − | 10.6343i | 0.921704 | − | 0.746381i | ||||
\(204\) | 41.6045 | − | 8.84331i | 2.91290 | − | 0.619156i | ||||
\(205\) | 1.52416 | − | 7.17061i | 0.106452 | − | 0.500817i | ||||
\(206\) | 0.249783 | − | 1.57707i | 0.0174032 | − | 0.109879i | ||||
\(207\) | −25.6222 | − | 5.44618i | −1.78087 | − | 0.378535i | ||||
\(208\) | −5.11091 | + | 12.3991i | −0.354378 | + | 0.859723i | ||||
\(209\) | −5.10051 | + | 7.02025i | −0.352810 | + | 0.485601i | ||||
\(210\) | −2.41308 | − | 1.95407i | −0.166518 | − | 0.134844i | ||||
\(211\) | 9.17252 | − | 15.8873i | 0.631462 | − | 1.09372i | −0.355791 | − | 0.934566i | \(-0.615788\pi\) |
0.987253 | − | 0.159159i | \(-0.0508783\pi\) | |||||||
\(212\) | 0.235568 | + | 0.408016i | 0.0161789 | + | 0.0280226i | ||||
\(213\) | −4.12288 | + | 26.0308i | −0.282495 | + | 1.78360i | ||||
\(214\) | −2.43699 | + | 1.24171i | −0.166589 | + | 0.0848813i | ||||
\(215\) | −4.46143 | − | 6.87000i | −0.304267 | − | 0.468530i | ||||
\(216\) | 9.06312 | + | 9.06312i | 0.616667 | + | 0.616667i | ||||
\(217\) | −9.43313 | − | 13.4863i | −0.640362 | − | 0.915511i | ||||
\(218\) | −0.00361590 | + | 0.00208764i | −0.000244900 | + | 0.000141393i | ||||
\(219\) | 2.10929 | + | 40.2476i | 0.142532 | + | 2.71968i | ||||
\(220\) | 5.97263 | − | 1.26952i | 0.402674 | − | 0.0855911i | ||||
\(221\) | −22.7325 | + | 8.09404i | −1.52916 | + | 0.544464i | ||||
\(222\) | 1.74105 | − | 3.01560i | 0.116852 | − | 0.202394i | ||||
\(223\) | 4.76067 | + | 17.7671i | 0.318798 | + | 1.18977i | 0.920401 | + | 0.390976i | \(0.127862\pi\) |
−0.601602 | + | 0.798796i | \(0.705471\pi\) | |||||||
\(224\) | 0.779600 | + | 7.41739i | 0.0520892 | + | 0.495595i | ||||
\(225\) | 8.60825 | + | 19.3344i | 0.573883 | + | 1.28896i | ||||
\(226\) | −0.00627152 | − | 0.00240741i | −0.000417175 | − | 0.000160139i | ||||
\(227\) | 26.2061 | − | 1.37340i | 1.73936 | − | 0.0911560i | 0.843956 | − | 0.536412i | \(-0.180221\pi\) |
0.895403 | + | 0.445256i | \(0.146887\pi\) | |||||||
\(228\) | −9.40069 | − | 24.4896i | −0.622576 | − | 1.62187i | ||||
\(229\) | −8.07375 | + | 0.423128i | −0.533529 | + | 0.0279611i | −0.317198 | − | 0.948359i | \(-0.602742\pi\) |
−0.216330 | + | 0.976320i | \(0.569409\pi\) | |||||||
\(230\) | 0.231590 | + | 1.08954i | 0.0152706 | + | 0.0718425i | ||||
\(231\) | −8.22578 | − | 18.4754i | −0.541217 | − | 1.21559i | ||||
\(232\) | 4.11323 | + | 2.67116i | 0.270047 | + | 0.175370i | ||||
\(233\) | 17.8130 | + | 5.78781i | 1.16697 | + | 0.379172i | 0.827512 | − | 0.561449i | \(-0.189756\pi\) |
0.339460 | + | 0.940621i | \(0.389756\pi\) | |||||||
\(234\) | −4.71876 | − | 3.60795i | −0.308475 | − | 0.235859i | ||||
\(235\) | 2.36759 | + | 2.62948i | 0.154445 | + | 0.171528i | ||||
\(236\) | 7.71529 | + | 11.8805i | 0.502223 | + | 0.773355i | ||||
\(237\) | 25.9372 | − | 18.8445i | 1.68481 | − | 1.22408i | ||||
\(238\) | −2.87300 | + | 3.19079i | −0.186229 | + | 0.206828i | ||||
\(239\) | −2.41164 | + | 6.28254i | −0.155996 | + | 0.406384i | −0.989198 | − | 0.146585i | \(-0.953172\pi\) |
0.833202 | + | 0.552969i | \(0.186505\pi\) | |||||||
\(240\) | −6.45153 | + | 16.8068i | −0.416444 | + | 1.08487i | ||||
\(241\) | −3.40542 | − | 0.539365i | −0.219362 | − | 0.0347436i | 0.0457858 | − | 0.998951i | \(-0.485421\pi\) |
−0.265148 | + | 0.964208i | \(0.585421\pi\) | |||||||
\(242\) | 1.37947 | + | 0.369627i | 0.0886755 | + | 0.0237605i | ||||
\(243\) | 34.0305 | − | 19.6475i | 2.18306 | − | 1.26039i | ||||
\(244\) | −8.30925 | − | 3.69952i | −0.531945 | − | 0.236837i | ||||
\(245\) | −2.58062 | − | 0.135244i | −0.164870 | − | 0.00864045i | ||||
\(246\) | −1.07586 | − | 3.31115i | −0.0685942 | − | 0.211111i | ||||
\(247\) | 7.12355 | + | 13.0663i | 0.453261 | + | 0.831389i | ||||
\(248\) | 2.87662 | − | 3.81342i | 0.182666 | − | 0.242152i | ||||
\(249\) | −11.1453 | + | 41.5949i | −0.706305 | + | 2.63597i | ||||
\(250\) | 1.68212 | − | 1.86818i | 0.106387 | − | 0.118154i | ||||
\(251\) | −3.59939 | + | 11.0778i | −0.227192 | + | 0.699224i | 0.770870 | + | 0.636992i | \(0.219822\pi\) |
−0.998062 | + | 0.0622314i | \(0.980178\pi\) | |||||||
\(252\) | 43.2790 | + | 6.85471i | 2.72632 | + | 0.431806i | ||||
\(253\) | −1.87773 | + | 7.00777i | −0.118052 | + | 0.440575i | ||||
\(254\) | −2.27687 | − | 2.27687i | −0.142863 | − | 0.142863i | ||||
\(255\) | −30.2402 | + | 11.6081i | −1.89372 | + | 0.726930i | ||||
\(256\) | 11.2944 | − | 5.02859i | 0.705900 | − | 0.314287i | ||||
\(257\) | 11.6405 | − | 16.0218i | 0.726116 | − | 0.999412i | −0.273183 | − | 0.961962i | \(-0.588076\pi\) |
0.999298 | − | 0.0374503i | \(-0.0119236\pi\) | |||||||
\(258\) | −3.46631 | − | 1.76617i | −0.215803 | − | 0.109957i | ||||
\(259\) | −1.52326 | − | 14.4929i | −0.0946510 | − | 0.900544i | ||||
\(260\) | 2.42711 | − | 10.1868i | 0.150523 | − | 0.631757i | ||||
\(261\) | 32.2476 | − | 29.0359i | 1.99608 | − | 1.79728i | ||||
\(262\) | 2.05153 | + | 0.787509i | 0.126744 | + | 0.0486524i | ||||
\(263\) | −1.23747 | − | 5.82184i | −0.0763056 | − | 0.358990i | 0.923385 | − | 0.383876i | \(-0.125411\pi\) |
−0.999690 | + | 0.0248862i | \(0.992078\pi\) | |||||||
\(264\) | 4.36206 | − | 3.92762i | 0.268466 | − | 0.241728i | ||||
\(265\) | −0.225796 | − | 0.278834i | −0.0138705 | − | 0.0171287i | ||||
\(266\) | 2.22080 | + | 1.44221i | 0.136166 | + | 0.0884274i | ||||
\(267\) | 27.8758 | + | 14.2034i | 1.70597 | + | 0.869237i | ||||
\(268\) | −12.3758 | − | 10.0217i | −0.755971 | − | 0.612173i | ||||
\(269\) | 0.382140 | + | 0.344080i | 0.0232995 | + | 0.0209789i | 0.680698 | − | 0.732564i | \(-0.261677\pi\) |
−0.657399 | + | 0.753543i | \(0.728343\pi\) | |||||||
\(270\) | −3.90132 | − | 2.83447i | −0.237427 | − | 0.172501i | ||||
\(271\) | −9.46175 | + | 7.66197i | −0.574760 | + | 0.465432i | −0.872092 | − | 0.489343i | \(-0.837237\pi\) |
0.297331 | + | 0.954774i | \(0.403903\pi\) | |||||||
\(272\) | 22.7415 | + | 10.1252i | 1.37891 | + | 0.613929i | ||||
\(273\) | −34.6737 | − | 0.848287i | −2.09855 | − | 0.0513407i | ||||
\(274\) | 3.80927 | + | 2.19928i | 0.230126 | + | 0.132863i | ||||
\(275\) | 5.47238 | − | 2.10065i | 0.329997 | − | 0.126674i | ||||
\(276\) | −14.6751 | − | 16.2984i | −0.883340 | − | 0.981049i | ||||
\(277\) | −6.65023 | − | 1.41355i | −0.399573 | − | 0.0849320i | 0.00374195 | − | 0.999993i | \(-0.498809\pi\) |
−0.403315 | + | 0.915061i | \(0.632142\pi\) | |||||||
\(278\) | 2.83154 | − | 2.83154i | 0.169825 | − | 0.169825i | ||||
\(279\) | −26.0032 | − | 33.3170i | −1.55677 | − | 1.99464i | ||||
\(280\) | −0.976152 | − | 3.64305i | −0.0583363 | − | 0.217714i | ||||
\(281\) | −6.26862 | − | 3.19402i | −0.373954 | − | 0.190539i | 0.256905 | − | 0.966437i | \(-0.417297\pi\) |
−0.630859 | + | 0.775897i | \(0.717297\pi\) | |||||||
\(282\) | 1.59817 | + | 0.519278i | 0.0951698 | + | 0.0309226i | ||||
\(283\) | −11.6866 | + | 26.2485i | −0.694695 | + | 1.56031i | 0.127965 | + | 0.991779i | \(0.459155\pi\) |
−0.822661 | + | 0.568533i | \(0.807511\pi\) | |||||||
\(284\) | −11.1833 | + | 11.1833i | −0.663606 | + | 0.663606i | ||||
\(285\) | 9.98844 | + | 17.3005i | 0.591664 | + | 1.02479i | ||||
\(286\) | −1.06630 | + | 1.25284i | −0.0630518 | + | 0.0740818i | ||||
\(287\) | −11.7877 | − | 8.56425i | −0.695805 | − | 0.505532i | ||||
\(288\) | 2.99610 | + | 18.9166i | 0.176547 | + | 1.11467i | ||||
\(289\) | 8.58785 | + | 26.4307i | 0.505167 | + | 1.55475i | ||||
\(290\) | −1.68571 | − | 0.750525i | −0.0989882 | − | 0.0440724i | ||||
\(291\) | 0.576800 | + | 11.0060i | 0.0338126 | + | 0.645183i | ||||
\(292\) | −13.1723 | + | 20.2835i | −0.770849 | + | 1.18700i | ||||
\(293\) | −4.11194 | + | 0.651267i | −0.240222 | + | 0.0380474i | −0.275384 | − | 0.961334i | \(-0.588805\pi\) |
0.0351624 | + | 0.999382i | \(0.488805\pi\) | |||||||
\(294\) | −1.09351 | + | 0.557169i | −0.0637746 | + | 0.0324948i | ||||
\(295\) | −7.21858 | − | 8.01704i | −0.420282 | − | 0.466770i | ||||
\(296\) | 3.86389 | − | 1.72032i | 0.224584 | − | 0.0999914i | ||||
\(297\) | −14.2592 | − | 27.9853i | −0.827404 | − | 1.62387i | ||||
\(298\) | −0.0699435 | − | 0.0629774i | −0.00405172 | − | 0.00364818i | ||||
\(299\) | 9.47511 | + | 8.06436i | 0.547960 | + | 0.466374i | ||||
\(300\) | −3.68417 | + | 17.3326i | −0.212705 | + | 1.00070i | ||||
\(301\) | −16.0807 | + | 2.54693i | −0.926876 | + | 0.146803i | ||||
\(302\) | 0.658493 | + | 0.0692104i | 0.0378920 | + | 0.00398261i | ||||
\(303\) | −34.2902 | + | 24.9133i | −1.96992 | + | 1.43123i | ||||
\(304\) | 3.97356 | − | 14.8295i | 0.227899 | − | 0.850532i | ||||
\(305\) | 6.69072 | + | 1.79277i | 0.383109 | + | 0.102654i | ||||
\(306\) | −6.93879 | + | 8.56869i | −0.396664 | + | 0.489839i | ||||
\(307\) | 13.8392 | − | 21.3105i | 0.789844 | − | 1.21625i | −0.182616 | − | 0.983184i | \(-0.558457\pi\) |
0.972460 | − | 0.233069i | \(-0.0748768\pi\) | |||||||
\(308\) | 2.52324 | − | 11.8709i | 0.143775 | − | 0.676409i | ||||
\(309\) | −11.9709 | − | 20.7343i | −0.681002 | − | 1.17953i | ||||
\(310\) | −0.844522 | + | 1.58639i | −0.0479656 | + | 0.0901010i | ||||
\(311\) | − | 12.7116i | − | 0.720809i | −0.932796 | − | 0.360404i | \(-0.882639\pi\) | ||
0.932796 | − | 0.360404i | \(-0.117361\pi\) | |||||||
\(312\) | −2.87567 | − | 9.64715i | −0.162803 | − | 0.546162i | ||||
\(313\) | 1.41460 | + | 6.65517i | 0.0799579 | + | 0.376173i | 0.999873 | − | 0.0159455i | \(-0.00507581\pi\) |
−0.919915 | + | 0.392118i | \(0.871742\pi\) | |||||||
\(314\) | −0.654265 | − | 1.70442i | −0.0369223 | − | 0.0961859i | ||||
\(315\) | −33.3698 | −1.88018 | ||||||||
\(316\) | 19.2390 | 1.08228 | ||||||||
\(317\) | 6.64069 | + | 17.2996i | 0.372978 | + | 0.971642i | 0.983703 | + | 0.179799i | \(0.0575448\pi\) |
−0.610725 | + | 0.791843i | \(0.709122\pi\) | |||||||
\(318\) | −0.159080 | − | 0.0610652i | −0.00892078 | − | 0.00342437i | ||||
\(319\) | −7.56344 | − | 9.34007i | −0.423471 | − | 0.522943i | ||||
\(320\) | −8.59577 | + | 5.58216i | −0.480518 | + | 0.312052i | ||||
\(321\) | −16.6807 | + | 37.4654i | −0.931024 | + | 2.09111i | ||||
\(322\) | 2.16553 | + | 0.460298i | 0.120680 | + | 0.0256514i | ||||
\(323\) | 24.6130 | − | 12.5410i | 1.36950 | − | 0.697797i | ||||
\(324\) | 50.1996 | + | 5.27619i | 2.78887 | + | 0.293122i | ||||
\(325\) | 0.771502 | − | 10.0232i | 0.0427952 | − | 0.555989i | ||||
\(326\) | 1.60021 | − | 4.92495i | 0.0886276 | − | 0.272768i | ||||
\(327\) | −0.0224359 | + | 0.0584475i | −0.00124071 | + | 0.00323215i | ||||
\(328\) | 1.30680 | − | 4.02190i | 0.0721557 | − | 0.222072i | ||||
\(329\) | 6.68840 | − | 2.17319i | 0.368743 | − | 0.119812i | ||||
\(330\) | −1.38980 | + | 1.71625i | −0.0765057 | + | 0.0944767i | ||||
\(331\) | 0.0425146 | + | 0.811227i | 0.00233681 | + | 0.0445891i | 0.999549 | − | 0.0300284i | \(-0.00955977\pi\) |
−0.997212 | + | 0.0746174i | \(0.976226\pi\) | |||||||
\(332\) | −20.0824 | + | 16.2624i | −1.10216 | + | 0.892513i | ||||
\(333\) | −5.85410 | − | 36.9614i | −0.320803 | − | 2.02547i | ||||
\(334\) | 2.12862 | + | 2.92979i | 0.116473 | + | 0.160311i | ||||
\(335\) | 10.5026 | + | 6.06369i | 0.573820 | + | 0.331295i | ||||
\(336\) | 25.3010 | + | 25.3010i | 1.38028 | + | 1.38028i | ||||
\(337\) | −7.95233 | + | 5.77770i | −0.433191 | + | 0.314732i | −0.782923 | − | 0.622118i | \(-0.786272\pi\) |
0.349733 | + | 0.936850i | \(0.386272\pi\) | |||||||
\(338\) | 1.15646 | + | 2.57359i | 0.0629032 | + | 0.139985i | ||||
\(339\) | −0.0957977 | + | 0.0311266i | −0.00520302 | + | 0.00169056i | ||||
\(340\) | −18.7756 | − | 5.03090i | −1.01825 | − | 0.272839i | ||||
\(341\) | −9.59189 | + | 6.70913i | −0.519430 | + | 0.363320i | ||||
\(342\) | 5.88894 | + | 3.39998i | 0.318437 | + | 0.183850i | ||||
\(343\) | 7.06201 | − | 13.8600i | 0.381313 | − | 0.748368i | ||||
\(344\) | −2.14529 | − | 4.21037i | −0.115666 | − | 0.227008i | ||||
\(345\) | 12.9799 | + | 10.5109i | 0.698814 | + | 0.565889i | ||||
\(346\) | 0.445860 | + | 1.66397i | 0.0239696 | + | 0.0894557i | ||||
\(347\) | 16.7433i | 0.898826i | 0.893324 | + | 0.449413i | \(0.148367\pi\) | ||||
−0.893324 | + | 0.449413i | \(0.851633\pi\) | |||||||
\(348\) | 36.1324 | − | 3.79767i | 1.93690 | − | 0.203577i | ||||
\(349\) | −18.5535 | − | 22.9117i | −0.993147 | − | 1.22643i | −0.973984 | − | 0.226617i | \(-0.927233\pi\) |
−0.0191626 | − | 0.999816i | \(-0.506100\pi\) | |||||||
\(350\) | −0.727549 | − | 1.63410i | −0.0388891 | − | 0.0873464i | ||||
\(351\) | −53.8450 | + | 1.50266i | −2.87403 | + | 0.0802060i | ||||
\(352\) | 5.27548 | − | 0.554475i | 0.281184 | − | 0.0295536i | ||||
\(353\) | −14.0342 | + | 9.11392i | −0.746965 | + | 0.485085i | −0.861135 | − | 0.508376i | \(-0.830246\pi\) |
0.114170 | + | 0.993461i | \(0.463579\pi\) | |||||||
\(354\) | −4.87268 | − | 1.58323i | −0.258980 | − | 0.0841478i | ||||
\(355\) | 7.07946 | − | 9.74404i | 0.375739 | − | 0.517160i | ||||
\(356\) | 8.52334 | + | 16.7280i | 0.451736 | + | 0.886582i | ||||
\(357\) | −3.36940 | + | 64.2920i | −0.178328 | + | 3.40270i | ||||
\(358\) | −0.673028 | − | 4.24933i | −0.0355706 | − | 0.224584i | ||||
\(359\) | 2.52646 | + | 0.132406i | 0.133341 | + | 0.00698813i | 0.118890 | − | 0.992907i | \(-0.462066\pi\) |
0.0144515 | + | 0.999896i | \(0.495400\pi\) | |||||||
\(360\) | −2.99289 | − | 9.21117i | −0.157739 | − | 0.485471i | ||||
\(361\) | 1.15417 | + | 1.58858i | 0.0607459 | + | 0.0836095i | ||||
\(362\) | 0.832032 | − | 1.63295i | 0.0437306 | − | 0.0858262i | ||||
\(363\) | 19.5626 | − | 8.70981i | 1.02677 | − | 0.457147i | ||||
\(364\) | −16.5343 | − | 12.6421i | −0.866631 | − | 0.662624i | ||||
\(365\) | 7.49139 | − | 16.8259i | 0.392117 | − | 0.880710i | ||||
\(366\) | 3.17756 | − | 0.851425i | 0.166094 | − | 0.0445047i | ||||
\(367\) | − | 15.8053i | − | 0.825032i | −0.910950 | − | 0.412516i | \(-0.864650\pi\) | ||
0.910950 | − | 0.412516i | \(-0.135350\pi\) | |||||||
\(368\) | −1.34171 | − | 12.7655i | −0.0699416 | − | 0.665450i | ||||
\(369\) | −31.3798 | − | 20.3782i | −1.63356 | − | 1.06085i | ||||
\(370\) | −1.33459 | + | 0.866692i | −0.0693819 | + | 0.0450572i | ||||
\(371\) | −0.688821 | + | 0.184569i | −0.0357618 | + | 0.00958235i | ||||
\(372\) | −1.21716 | − | 35.3643i | −0.0631067 | − | 1.83355i | ||||
\(373\) | −0.171606 | + | 0.297230i | −0.00888543 | + | 0.0153900i | −0.870434 | − | 0.492285i | \(-0.836162\pi\) |
0.861549 | + | 0.507675i | \(0.169495\pi\) | |||||||
\(374\) | 2.26939 | + | 2.04337i | 0.117347 | + | 0.105660i | ||||
\(375\) | 1.97276 | − | 37.6425i | 0.101873 | − | 1.94385i | ||||
\(376\) | 1.19974 | + | 1.65131i | 0.0618721 | + | 0.0851597i | ||||
\(377\) | −20.0339 | + | 4.84616i | −1.03180 | + | 0.249590i | ||||
\(378\) | −8.30049 | + | 4.79229i | −0.426931 | + | 0.246489i | ||||
\(379\) | −4.60686 | + | 5.68900i | −0.236638 | + | 0.292224i | −0.881606 | − | 0.471986i | \(-0.843537\pi\) |
0.644968 | + | 0.764210i | \(0.276871\pi\) | |||||||
\(380\) | −1.25308 | + | 11.9223i | −0.0642816 | + | 0.611599i | ||||
\(381\) | −48.0170 | − | 5.04679i | −2.45999 | − | 0.258555i | ||||
\(382\) | 2.14211 | + | 3.29855i | 0.109600 | + | 0.168769i | ||||
\(383\) | 0.171038 | − | 0.0656553i | 0.00873963 | − | 0.00335483i | −0.353994 | − | 0.935248i | \(-0.615177\pi\) |
0.362734 | + | 0.931893i | \(0.381843\pi\) | |||||||
\(384\) | −9.66542 | + | 18.9694i | −0.493236 | + | 0.968030i | ||||
\(385\) | −0.483702 | + | 9.22958i | −0.0246517 | + | 0.470383i | ||||
\(386\) | −1.69588 | − | 1.23213i | −0.0863180 | − | 0.0627137i | ||||
\(387\) | −40.8956 | + | 8.69263i | −2.07884 | + | 0.441871i | ||||
\(388\) | −3.60205 | + | 5.54667i | −0.182867 | + | 0.281590i | ||||
\(389\) | 1.81012 | − | 17.2222i | 0.0917769 | − | 0.873199i | −0.847674 | − | 0.530517i | \(-0.821998\pi\) |
0.939451 | − | 0.342682i | \(-0.111335\pi\) | |||||||
\(390\) | 1.63641 | + | 3.41567i | 0.0828628 | + | 0.172959i | ||||
\(391\) | 15.4538 | − | 17.1632i | 0.781533 | − | 0.867980i | ||||
\(392\) | −1.47236 | − | 0.233198i | −0.0743652 | − | 0.0117783i | ||||
\(393\) | 31.3372 | − | 10.1821i | 1.58075 | − | 0.513618i | ||||
\(394\) | −0.409465 | + | 3.89580i | −0.0206286 | + | 0.196268i | ||||
\(395\) | −14.4710 | + | 2.29199i | −0.728117 | + | 0.115322i | ||||
\(396\) | 4.87528 | − | 30.7813i | 0.244992 | − | 1.54682i | ||||
\(397\) | 27.5760 | − | 27.5760i | 1.38400 | − | 1.38400i | 0.546616 | − | 0.837384i | \(-0.315916\pi\) |
0.837384 | − | 0.546616i | \(-0.184084\pi\) | |||||||
\(398\) | −0.485803 | + | 0.130170i | −0.0243511 | + | 0.00652485i | ||||
\(399\) | 39.4877 | − | 4.15032i | 1.97686 | − | 0.207776i | ||||
\(400\) | −7.70703 | + | 6.93944i | −0.385352 | + | 0.346972i | ||||
\(401\) | 9.79505 | − | 0.513337i | 0.489142 | − | 0.0256348i | 0.193829 | − | 0.981035i | \(-0.437909\pi\) |
0.295313 | + | 0.955401i | \(0.404576\pi\) | |||||||
\(402\) | 5.75955 | 0.287260 | ||||||||
\(403\) | 3.33741 | + | 19.7955i | 0.166248 | + | 0.986084i | ||||
\(404\) | −25.4348 | −1.26543 | ||||||||
\(405\) | −38.3873 | + | 2.01179i | −1.90748 | + | 0.0999668i | ||||
\(406\) | −2.72549 | + | 2.45404i | −0.135264 | + | 0.121792i | ||||
\(407\) | −10.3078 | + | 1.08339i | −0.510938 | + | 0.0537018i | ||||
\(408\) | −18.0489 | + | 4.83619i | −0.893554 | + | 0.239427i | ||||
\(409\) | −0.388410 | + | 0.388410i | −0.0192056 | + | 0.0192056i | −0.716644 | − | 0.697439i | \(-0.754323\pi\) |
0.697439 | + | 0.716644i | \(0.254323\pi\) | |||||||
\(410\) | −0.248896 | + | 1.57147i | −0.0122921 | + | 0.0776094i | ||||
\(411\) | 65.1417 | − | 10.3174i | 3.21320 | − | 0.508921i | ||||
\(412\) | 1.50179 | − | 14.2886i | 0.0739878 | − | 0.703947i | ||||
\(413\) | −20.3923 | + | 6.62586i | −1.00344 | + | 0.326037i | ||||
\(414\) | 5.61523 | + | 0.889364i | 0.275973 | + | 0.0437099i | ||||
\(415\) | 13.1680 | − | 14.6246i | 0.646392 | − | 0.717891i | ||||
\(416\) | 3.02199 | − | 8.58072i | 0.148165 | − | 0.420704i | ||||
\(417\) | 6.27626 | − | 59.7146i | 0.307350 | − | 2.92424i | ||||
\(418\) | 1.02574 | − | 1.57950i | 0.0501707 | − | 0.0772561i | ||||
\(419\) | −10.5638 | + | 2.24540i | −0.516074 | + | 0.109695i | −0.458584 | − | 0.888651i | \(-0.651643\pi\) |
−0.0574899 | + | 0.998346i | \(0.518310\pi\) | |||||||
\(420\) | −22.6032 | − | 16.4222i | −1.10293 | − | 0.801322i | ||||
\(421\) | −1.30319 | + | 24.8664i | −0.0635138 | + | 1.21191i | 0.762017 | + | 0.647557i | \(0.224209\pi\) |
−0.825531 | + | 0.564358i | \(0.809124\pi\) | |||||||
\(422\) | −1.80759 | + | 3.54760i | −0.0879921 | + | 0.172694i | ||||
\(423\) | 16.8599 | − | 6.47191i | 0.819756 | − | 0.314675i | ||||
\(424\) | −0.112726 | − | 0.173584i | −0.00547448 | − | 0.00842996i | ||||
\(425\) | −18.5579 | − | 1.95051i | −0.900189 | − | 0.0946136i | ||||
\(426\) | 0.597912 | − | 5.68875i | 0.0289689 | − | 0.275621i | ||||
\(427\) | 8.66403 | − | 10.6992i | 0.419282 | − | 0.517770i | ||||
\(428\) | −21.3131 | + | 12.3051i | −1.03021 | + | 0.594791i | ||||
\(429\) | −0.603328 | + | 24.6610i | −0.0291289 | + | 1.19064i | ||||
\(430\) | 1.04501 | + | 1.43833i | 0.0503947 | + | 0.0693623i | ||||
\(431\) | 0.229422 | − | 4.37764i | 0.0110509 | − | 0.210864i | −0.987523 | − | 0.157475i | \(-0.949665\pi\) |
0.998574 | − | 0.0533883i | \(-0.0170021\pi\) | |||||||
\(432\) | 41.2963 | + | 37.1834i | 1.98687 | + | 1.78899i | ||||
\(433\) | 17.3894 | − | 30.1194i | 0.835684 | − | 1.44745i | −0.0577892 | − | 0.998329i | \(-0.518405\pi\) |
0.893473 | − | 0.449118i | \(-0.148262\pi\) | |||||||
\(434\) | 2.19772 | + | 2.81587i | 0.105494 | + | 0.135166i | ||||
\(435\) | −26.7254 | + | 7.16105i | −1.28138 | + | 0.343346i | ||||
\(436\) | −0.0315081 | + | 0.0204616i | −0.00150896 | + | 0.000979932i | ||||
\(437\) | −11.9457 | − | 7.75761i | −0.571439 | − | 0.371097i | ||||
\(438\) | −0.914334 | − | 8.69931i | −0.0436886 | − | 0.415669i | ||||
\(439\) | − | 20.9206i | − | 0.998486i | −0.866462 | − | 0.499243i | \(-0.833612\pi\) | ||
0.866462 | − | 0.499243i | \(-0.166388\pi\) | |||||||
\(440\) | −2.59105 | + | 0.694269i | −0.123523 | + | 0.0330980i | ||||
\(441\) | −5.36462 | + | 12.0491i | −0.255458 | + | 0.573768i | ||||
\(442\) | 4.83511 | − | 2.01252i | 0.229983 | − | 0.0957257i | ||||
\(443\) | −28.0406 | + | 12.4845i | −1.33225 | + | 0.593156i | −0.944471 | − | 0.328596i | \(-0.893425\pi\) |
−0.387780 | + | 0.921752i | \(0.626758\pi\) | |||||||
\(444\) | 14.2244 | − | 27.9169i | 0.675060 | − | 1.32488i | ||||
\(445\) | −8.40387 | − | 11.5669i | −0.398381 | − | 0.548325i | ||||
\(446\) | −1.23364 | − | 3.79676i | −0.0584146 | − | 0.179782i | ||||
\(447\) | −1.40931 | − | 0.0738588i | −0.0666581 | − | 0.00349340i | ||||
\(448\) | 3.18673 | + | 20.1202i | 0.150559 | + | 0.950591i | ||||
\(449\) | −0.388100 | + | 7.40539i | −0.0183156 | + | 0.349482i | 0.974065 | + | 0.226269i | \(0.0726530\pi\) |
−0.992380 | + | 0.123212i | \(0.960680\pi\) | |||||||
\(450\) | −2.08537 | − | 4.09277i | −0.0983052 | − | 0.192935i | ||||
\(451\) | −6.09116 | + | 8.38376i | −0.286822 | + | 0.394776i | ||||
\(452\) | −0.0574872 | − | 0.0186787i | −0.00270397 | − | 0.000878574i | ||||
\(453\) | 8.32638 | − | 5.40721i | 0.391207 | − | 0.254053i | ||||
\(454\) | −5.66431 | + | 0.595343i | −0.265839 | + | 0.0279408i | ||||
\(455\) | 13.9427 | + | 7.53924i | 0.653643 | + | 0.353445i | ||||
\(456\) | 4.68721 | + | 10.5277i | 0.219499 | + | 0.493003i | ||||
\(457\) | 18.4791 | + | 22.8197i | 0.864414 | + | 1.06746i | 0.997085 | + | 0.0763019i | \(0.0243113\pi\) |
−0.132671 | + | 0.991160i | \(0.542355\pi\) | |||||||
\(458\) | 1.74510 | − | 0.183417i | 0.0815431 | − | 0.00857053i | ||||
\(459\) | 99.9856i | 4.66693i | ||||||||
\(460\) | 2.59407 | + | 9.68119i | 0.120949 | + | 0.451388i | ||||
\(461\) | 9.08804 | + | 7.35935i | 0.423272 | + | 0.342759i | 0.817172 | − | 0.576394i | \(-0.195541\pi\) |
−0.393899 | + | 0.919154i | \(0.628874\pi\) | |||||||
\(462\) | 1.99272 | + | 3.91092i | 0.0927095 | + | 0.181953i | ||||
\(463\) | −10.3246 | + | 20.2632i | −0.479825 | + | 0.941710i | 0.516519 | + | 0.856276i | \(0.327228\pi\) |
−0.996344 | + | 0.0854338i | \(0.972772\pi\) | |||||||
\(464\) | 18.4148 | + | 10.6318i | 0.854885 | + | 0.493568i | ||||
\(465\) | 5.12855 | + | 26.4550i | 0.237831 | + | 1.22682i | ||||
\(466\) | −3.92654 | − | 1.05211i | −0.181893 | − | 0.0487382i | ||||
\(467\) | −19.4937 | + | 6.33390i | −0.902063 | + | 0.293098i | −0.723088 | − | 0.690756i | \(-0.757278\pi\) |
−0.178975 | + | 0.983854i | \(0.557278\pi\) | |||||||
\(468\) | −44.1001 | − | 30.1976i | −2.03853 | − | 1.39588i | ||||
\(469\) | 19.5004 | − | 14.1679i | 0.900446 | − | 0.654212i | ||||
\(470\) | −0.543020 | − | 0.543020i | −0.0250477 | − | 0.0250477i | ||||
\(471\) | −23.7074 | − | 13.6875i | −1.09238 | − | 0.630685i | ||||
\(472\) | −3.65791 | − | 5.03468i | −0.168369 | − | 0.231740i | ||||
\(473\) | 1.81146 | + | 11.4371i | 0.0832908 | + | 0.525878i | ||||
\(474\) | −5.40759 | + | 4.37898i | −0.248379 | + | 0.201133i | ||||
\(475\) | 0.602293 | + | 11.4924i | 0.0276351 | + | 0.527309i | ||||
\(476\) | −24.3131 | + | 30.0242i | −1.11439 | + | 1.37616i | ||||
\(477\) | −1.74163 | + | 0.565891i | −0.0797439 | + | 0.0259104i | ||||
\(478\) | 0.451337 | − | 1.38907i | 0.0206437 | − | 0.0635346i | ||||
\(479\) | −11.6392 | + | 30.3212i | −0.531810 | + | 1.38541i | 0.359979 | + | 0.932961i | \(0.382784\pi\) |
−0.891789 | + | 0.452452i | \(0.850549\pi\) | |||||||
\(480\) | 3.77366 | − | 11.6141i | 0.172243 | − | 0.530110i | ||||
\(481\) | −5.90469 | + | 16.7659i | −0.269231 | + | 0.764460i | ||||
\(482\) | 0.744217 | + | 0.0782203i | 0.0338981 | + | 0.00356284i | ||||
\(483\) | 29.5780 | − | 15.0708i | 1.34585 | − | 0.685743i | ||||
\(484\) | 12.5694 | + | 2.67172i | 0.571338 | + | 0.121442i | ||||
\(485\) | 2.04857 | − | 4.60117i | 0.0930210 | − | 0.208929i | ||||
\(486\) | −7.15260 | + | 4.64495i | −0.324448 | + | 0.210699i | ||||
\(487\) | 14.3098 | + | 17.6711i | 0.648438 | + | 0.800755i | 0.990293 | − | 0.138998i | \(-0.0443882\pi\) |
−0.341854 | + | 0.939753i | \(0.611055\pi\) | |||||||
\(488\) | 3.73039 | + | 1.43196i | 0.168867 | + | 0.0648219i | ||||
\(489\) | −27.8261 | − | 72.4895i | −1.25834 | − | 3.27809i | ||||
\(490\) | 0.560859 | 0.0253370 | ||||||||
\(491\) | 8.99557 | 0.405964 | 0.202982 | − | 0.979182i | \(-0.434937\pi\) | ||||
0.202982 | + | 0.979182i | \(0.434937\pi\) | |||||||
\(492\) | −11.2265 | − | 29.2461i | −0.506132 | − | 1.31852i | ||||
\(493\) | 7.95454 | + | 37.4232i | 0.358254 | + | 1.68545i | ||||
\(494\) | −1.69238 | − | 2.75107i | −0.0761436 | − | 0.123777i | ||||
\(495\) | 23.7337i | 1.06675i | ||||||||
\(496\) | 11.5894 | − | 17.1634i | 0.520379 | − | 0.770658i | ||||
\(497\) | −11.9694 | − | 20.7315i | −0.536899 | − | 0.929936i | ||||
\(498\) | 1.94316 | − | 9.14186i | 0.0870752 | − | 0.409657i | ||||
\(499\) | 4.49755 | − | 6.92562i | 0.201338 | − | 0.310033i | −0.723551 | − | 0.690271i | \(-0.757491\pi\) |
0.924889 | + | 0.380238i | \(0.124158\pi\) | |||||||
\(500\) | 14.2351 | − | 17.5789i | 0.636615 | − | 0.786154i | ||||
\(501\) | 52.4506 | + | 14.0541i | 2.34332 | + | 0.627891i | ||||
\(502\) | 0.654301 | − | 2.44188i | 0.0292029 | − | 0.108987i | ||||
\(503\) | −3.86184 | + | 2.80579i | −0.172191 | + | 0.125104i | −0.670543 | − | 0.741871i | \(-0.733939\pi\) |
0.498352 | + | 0.866975i | \(0.333939\pi\) | |||||||
\(504\) | −19.1444 | − | 2.01216i | −0.852760 | − | 0.0896287i | ||||
\(505\) | 19.1313 | − | 3.03011i | 0.851334 | − | 0.134838i | ||||
\(506\) | 0.327378 | − | 1.54019i | 0.0145537 | − | 0.0684699i | ||||
\(507\) | 37.7611 | + | 19.0769i | 1.67703 | + | 0.847236i | ||||
\(508\) | −21.5313 | − | 19.3869i | −0.955298 | − | 0.860154i | ||||
\(509\) | −8.27075 | − | 16.2323i | −0.366595 | − | 0.719482i | 0.631858 | − | 0.775084i | \(-0.282292\pi\) |
−0.998453 | + | 0.0556015i | \(0.982292\pi\) | |||||||
\(510\) | 6.42241 | − | 2.85944i | 0.284389 | − | 0.126618i | ||||
\(511\) | −24.4951 | − | 27.2046i | −1.08360 | − | 1.20346i | ||||
\(512\) | −14.0488 | + | 7.15821i | −0.620874 | + | 0.316351i | ||||
\(513\) | 60.9049 | − | 9.64638i | 2.68901 | − | 0.425898i | ||||
\(514\) | −2.34098 | + | 3.60479i | −0.103256 | + | 0.159000i | ||||
\(515\) | 0.572627 | + | 10.9264i | 0.0252329 | + | 0.481473i | ||||
\(516\) | −31.9787 | − | 14.2378i | −1.40778 | − | 0.626786i | ||||
\(517\) | −1.54564 | − | 4.75699i | −0.0679772 | − | 0.209212i | ||||
\(518\) | 0.494775 | + | 3.12389i | 0.0217392 | + | 0.137256i | ||||
\(519\) | 20.8972 | + | 15.1827i | 0.917286 | + | 0.666447i | ||||
\(520\) | −0.830579 | + | 4.52482i | −0.0364233 | + | 0.198427i | ||||
\(521\) | −0.517077 | − | 0.895603i | −0.0226535 | − | 0.0392371i | 0.854476 | − | 0.519490i | \(-0.173878\pi\) |
−0.877130 | + | 0.480253i | \(0.840545\pi\) | |||||||
\(522\) | −6.65953 | + | 6.65953i | −0.291480 | + | 0.291480i | ||||
\(523\) | −9.78978 | + | 21.9882i | −0.428077 | + | 0.961477i | 0.562786 | + | 0.826603i | \(0.309730\pi\) |
−0.990863 | + | 0.134874i | \(0.956937\pi\) | |||||||
\(524\) | 18.8052 | + | 6.11016i | 0.821507 | + | 0.266924i | ||||
\(525\) | −23.8978 | − | 12.1765i | −1.04299 | − | 0.531428i | ||||
\(526\) | 0.334338 | + | 1.24777i | 0.0145779 | + | 0.0544053i | ||||
\(527\) | 36.9028 | − | 5.16744i | 1.60751 | − | 0.225097i | ||||
\(528\) | 17.9949 | − | 17.9949i | 0.783126 | − | 0.783126i | ||||
\(529\) | 10.8490 | + | 2.30603i | 0.471697 | + | 0.100262i | ||||
\(530\) | 0.0521061 | + | 0.0578697i | 0.00226335 | + | 0.00251370i | ||||
\(531\) | −51.4043 | + | 19.7322i | −2.23076 | + | 0.856307i | ||||
\(532\) | 20.6345 | + | 11.9133i | 0.894619 | + | 0.516508i | ||||
\(533\) | 8.50713 | + | 15.6041i | 0.368485 | + | 0.675889i | ||||
\(534\) | −6.20314 | − | 2.76182i | −0.268436 | − | 0.119515i | ||||
\(535\) | 14.5652 | − | 11.7947i | 0.629708 | − | 0.509928i | ||||
\(536\) | 5.65977 | + | 4.11206i | 0.244465 | + | 0.177614i | ||||
\(537\) | −47.9404 | − | 43.1658i | −2.06878 | − | 1.86274i | ||||
\(538\) | −0.0867333 | − | 0.0702353i | −0.00373934 | − | 0.00302806i | ||||
\(539\) | 3.25484 | + | 1.65842i | 0.140196 | + | 0.0714334i | ||||
\(540\) | −36.3906 | − | 23.6323i | −1.56600 | − | 1.01697i | ||||
\(541\) | −5.24383 | − | 6.47559i | −0.225450 | − | 0.278407i | 0.651852 | − | 0.758346i | \(-0.273992\pi\) |
−0.877302 | + | 0.479939i | \(0.840659\pi\) | |||||||
\(542\) | 1.96371 | − | 1.76813i | 0.0843484 | − | 0.0759477i | ||||
\(543\) | −5.71347 | − | 26.8798i | −0.245189 | − | 1.15352i | ||||
\(544\) | −15.7648 | − | 6.05153i | −0.675910 | − | 0.259457i | ||||
\(545\) | 0.0212619 | − | 0.0191443i | 0.000910758 | − | 0.000820050i | ||||
\(546\) | 7.52480 | − | 0.209996i | 0.322032 | − | 0.00898698i | ||||
\(547\) | 2.23741 | + | 21.2875i | 0.0956646 | + | 0.910188i | 0.932119 | + | 0.362152i | \(0.117958\pi\) |
−0.836454 | + | 0.548036i | \(0.815376\pi\) | |||||||
\(548\) | 35.2644 | + | 17.9681i | 1.50642 | + | 0.767559i | ||||
\(549\) | 20.7804 | − | 28.6018i | 0.886887 | − | 1.22069i | ||||
\(550\) | −1.16222 | + | 0.517455i | −0.0495574 | + | 0.0220644i | ||||
\(551\) | 22.0284 | − | 8.45590i | 0.938440 | − | 0.360233i | ||||
\(552\) | 6.81283 | + | 6.81283i | 0.289973 | + | 0.289973i | ||||
\(553\) | −7.53694 | + | 28.1283i | −0.320503 | + | 1.19614i | ||||
\(554\) | 1.45743 | + | 0.230834i | 0.0619201 | + | 0.00980718i | ||||
\(555\) | −7.37338 | + | 22.6929i | −0.312982 | + | 0.963261i | ||||
\(556\) | 24.1098 | − | 26.7766i | 1.02248 | − | 1.13558i | ||||
\(557\) | 8.12185 | − | 30.3112i | 0.344134 | − | 1.28432i | −0.549487 | − | 0.835502i | \(-0.685177\pi\) |
0.893621 | − | 0.448823i | \(-0.148157\pi\) | |||||||
\(558\) | 6.01437 | + | 6.92576i | 0.254608 | + | 0.293191i | ||||
\(559\) | 19.0510 | + | 5.60755i | 0.805773 | + | 0.237174i | ||||
\(560\) | −5.05299 | − | 15.5515i | −0.213528 | − | 0.657171i | ||||
\(561\) | 45.7265 | + | 2.39642i | 1.93057 | + | 0.101177i | ||||
\(562\) | 1.39494 | + | 0.621068i | 0.0588420 | + | 0.0261982i | ||||
\(563\) | 9.08255 | − | 5.24381i | 0.382784 | − | 0.221000i | −0.296245 | − | 0.955112i | \(-0.595734\pi\) |
0.679029 | + | 0.734112i | \(0.262401\pi\) | |||||||
\(564\) | 14.6051 | + | 3.91343i | 0.614987 | + | 0.164785i | ||||
\(565\) | 0.0454655 | + | 0.00720103i | 0.00191275 | + | 0.000302950i | ||||
\(566\) | 2.23480 | − | 5.82184i | 0.0939355 | − | 0.244710i | ||||
\(567\) | −27.3799 | + | 71.3270i | −1.14985 | + | 2.99545i | ||||
\(568\) | 4.64907 | − | 5.16332i | 0.195071 | − | 0.216648i | ||||
\(569\) | 6.82649 | − | 4.95974i | 0.286181 | − | 0.207923i | −0.435428 | − | 0.900224i | \(-0.643403\pi\) |
0.721609 | + | 0.692301i | \(0.243403\pi\) | |||||||
\(570\) | −2.36141 | − | 3.63625i | −0.0989085 | − | 0.152306i | ||||
\(571\) | −7.58463 | − | 8.42359i | −0.317407 | − | 0.352516i | 0.563236 | − | 0.826296i | \(-0.309556\pi\) |
−0.880643 | + | 0.473780i | \(0.842889\pi\) | |||||||
\(572\) | −8.99142 | + | 11.7597i | −0.375950 | + | 0.491697i | ||||
\(573\) | 56.0875 | + | 18.2239i | 2.34309 | + | 0.761316i | ||||
\(574\) | 2.65214 | + | 1.72232i | 0.110698 | + | 0.0718883i | ||||
\(575\) | 3.91347 | + | 8.78980i | 0.163203 | + | 0.366560i | ||||
\(576\) | 10.8762 | + | 51.1687i | 0.453177 | + | 2.13203i | ||||
\(577\) | −26.7237 | + | 1.40053i | −1.11252 | + | 0.0583049i | −0.599727 | − | 0.800205i | \(-0.704724\pi\) |
−0.512797 | + | 0.858510i | \(0.671391\pi\) | |||||||
\(578\) | −2.16155 | − | 5.63103i | −0.0899087 | − | 0.234220i | ||||
\(579\) | −31.3885 | + | 1.64500i | −1.30446 | + | 0.0683639i | ||||
\(580\) | −15.5006 | − | 5.95012i | −0.643627 | − | 0.247065i | ||||
\(581\) | −15.9090 | − | 35.7321i | −0.660015 | − | 1.48242i | ||||
\(582\) | −0.250031 | − | 2.37889i | −0.0103641 | − | 0.0986081i | ||||
\(583\) | 0.131271 | + | 0.489911i | 0.00543670 | + | 0.0202900i | ||||
\(584\) | 5.31243 | − | 9.20139i | 0.219830 | − | 0.380756i | ||||
\(585\) | 36.7684 | + | 17.4600i | 1.52018 | + | 0.721884i | ||||
\(586\) | 0.883824 | − | 0.187863i | 0.0365104 | − | 0.00776053i | ||||
\(587\) | 1.60366 | + | 30.5997i | 0.0661901 | + | 1.26298i | 0.806710 | + | 0.590948i | \(0.201246\pi\) |
−0.740519 | + | 0.672035i | \(0.765420\pi\) | |||||||
\(588\) | −9.56346 | + | 5.52147i | −0.394391 | + | 0.227702i | ||||
\(589\) | −6.70796 | − | 21.9803i | −0.276397 | − | 0.905681i | ||||
\(590\) | 1.65562 | + | 1.65562i | 0.0681608 | + | 0.0681608i | ||||
\(591\) | 31.9904 | + | 49.2609i | 1.31591 | + | 2.02632i | ||||
\(592\) | 16.3388 | − | 8.32505i | 0.671522 | − | 0.342157i | ||||
\(593\) | −5.15958 | + | 32.5763i | −0.211879 | + | 1.33775i | 0.620790 | + | 0.783977i | \(0.286812\pi\) |
−0.832668 | + | 0.553772i | \(0.813188\pi\) | |||||||
\(594\) | 3.40842 | + | 5.90356i | 0.139849 | + | 0.242226i | ||||
\(595\) | 14.7108 | − | 25.4798i | 0.603084 | − | 1.04457i | ||||
\(596\) | −0.658144 | − | 0.532954i | −0.0269586 | − | 0.0218307i | ||||
\(597\) | −4.43264 | + | 6.10101i | −0.181416 | + | 0.249698i | ||||
\(598\) | −2.14524 | − | 1.64024i | −0.0877252 | − | 0.0670745i | ||||
\(599\) | 25.3920 | + | 5.39725i | 1.03749 | + | 0.220526i | 0.695011 | − | 0.718999i | \(-0.255400\pi\) |
0.342480 | + | 0.939525i | \(0.388733\pi\) | |||||||
\(600\) | 1.21777 | − | 7.68867i | 0.0497151 | − | 0.313889i | ||||
\(601\) | 2.35076 | − | 11.0595i | 0.0958895 | − | 0.451125i | −0.903840 | − | 0.427870i | \(-0.859264\pi\) |
0.999730 | − | 0.0232542i | \(-0.00740269\pi\) | |||||||
\(602\) | 3.45640 | − | 0.734680i | 0.140872 | − | 0.0299433i | ||||
\(603\) | 48.1035 | − | 38.9534i | 1.95892 | − | 1.58631i | ||||
\(604\) | 5.94956 | + | 0.311803i | 0.242084 | + | 0.0126871i | ||||
\(605\) | −9.77267 | − | 0.512164i | −0.397316 | − | 0.0208224i | ||||
\(606\) | 7.14907 | − | 5.78920i | 0.290411 | − | 0.235170i | ||||
\(607\) | −26.0508 | + | 5.53728i | −1.05737 | + | 0.224751i | −0.703611 | − | 0.710585i | \(-0.748430\pi\) |
−0.353760 | + | 0.935336i | \(0.615097\pi\) | |||||||
\(608\) | −2.16526 | + | 10.1867i | −0.0878128 | + | 0.413127i | ||||
\(609\) | −8.60264 | + | 54.3150i | −0.348597 | + | 2.20095i | ||||
\(610\) | −1.47051 | − | 0.312567i | −0.0595392 | − | 0.0126554i | ||||
\(611\) | −8.50664 | − | 1.10504i | −0.344142 | − | 0.0447051i | ||||
\(612\) | −58.3143 | + | 80.2627i | −2.35722 | + | 3.24443i | ||||
\(613\) | −7.20010 | − | 5.83053i | −0.290809 | − | 0.235493i | 0.472802 | − | 0.881169i | \(-0.343242\pi\) |
−0.763612 | + | 0.645676i | \(0.776576\pi\) | |||||||
\(614\) | −2.75744 | + | 4.77603i | −0.111281 | + | 0.192745i | ||||
\(615\) | 11.9285 | + | 20.6607i | 0.481002 | + | 0.833119i | ||||
\(616\) | −0.834034 | + | 5.26588i | −0.0336042 | + | 0.212168i | ||||
\(617\) | −1.08133 | + | 0.550963i | −0.0435325 | + | 0.0221809i | −0.475621 | − | 0.879650i | \(-0.657777\pi\) |
0.432089 | + | 0.901831i | \(0.357777\pi\) | |||||||
\(618\) | 2.83010 | + | 4.35797i | 0.113843 | + | 0.175303i | ||||
\(619\) | 3.96491 | + | 3.96491i | 0.159363 | + | 0.159363i | 0.782285 | − | 0.622921i | \(-0.214054\pi\) |
−0.622921 | + | 0.782285i | \(0.714054\pi\) | |||||||
\(620\) | −6.84151 | + | 14.6524i | −0.274762 | + | 0.588456i | ||||
\(621\) | 44.6482 | − | 25.7776i | 1.79167 | − | 1.03442i | ||||
\(622\) | 0.144389 | + | 2.75511i | 0.00578948 | + | 0.110470i | ||||
\(623\) | −27.7961 | + | 5.90825i | −1.11363 | + | 0.236709i | ||||
\(624\) | −14.6396 | − | 41.1160i | −0.586051 | − | 1.64596i | ||||
\(625\) | −1.64264 | + | 2.84514i | −0.0657056 | + | 0.113806i | ||||
\(626\) | −0.382196 | − | 1.42637i | −0.0152756 | − | 0.0570093i | ||||
\(627\) | −2.95184 | − | 28.0848i | −0.117885 | − | 1.12160i | ||||
\(628\) | −6.68163 | − | 15.0072i | −0.266626 | − | 0.598852i | ||||
\(629\) | 30.8029 | + | 11.8241i | 1.22819 | + | 0.471459i | ||||
\(630\) | 7.23258 | − | 0.379043i | 0.288153 | − | 0.0151014i | ||||
\(631\) | −4.39003 | − | 11.4364i | −0.174764 | − | 0.455277i | 0.818020 | − | 0.575190i | \(-0.195072\pi\) |
−0.992784 | + | 0.119913i | \(0.961738\pi\) | |||||||
\(632\) | −8.44030 | + | 0.442337i | −0.335737 | + | 0.0175952i | ||||
\(633\) | 12.4125 | + | 58.3964i | 0.493354 | + | 2.32105i | ||||
\(634\) | −1.63581 | − | 3.67408i | −0.0649662 | − | 0.145916i | ||||
\(635\) | 18.5049 | + | 12.0172i | 0.734343 | + | 0.476888i | ||||
\(636\) | −1.45819 | − | 0.473796i | −0.0578211 | − | 0.0187872i | ||||
\(637\) | 4.96372 | − | 3.82238i | 0.196670 | − | 0.151448i | ||||
\(638\) | 1.74539 | + | 1.93845i | 0.0691007 | + | 0.0767441i | ||||
\(639\) | −33.4809 | − | 51.5560i | −1.32448 | − | 2.03953i | ||||
\(640\) | 7.87127 | − | 5.71881i | 0.311139 | − | 0.226056i | ||||
\(641\) | 16.3789 | − | 18.1907i | 0.646929 | − | 0.718488i | −0.327080 | − | 0.944997i | \(-0.606065\pi\) |
0.974009 | + | 0.226509i | \(0.0727312\pi\) | |||||||
\(642\) | 3.18980 | − | 8.30972i | 0.125891 | − | 0.327958i | ||||
\(643\) | 8.31955 | − | 21.6732i | 0.328091 | − | 0.854707i | −0.665980 | − | 0.745970i | \(-0.731986\pi\) |
0.994071 | − | 0.108736i | \(-0.0346805\pi\) | |||||||
\(644\) | 19.6754 | + | 3.11628i | 0.775321 | + | 0.122799i | ||||
\(645\) | 25.7497 | + | 6.89961i | 1.01389 | + | 0.271672i | ||||
\(646\) | −5.19217 | + | 2.99770i | −0.204283 | + | 0.117943i | ||||
\(647\) | −4.78726 | − | 2.13143i | −0.188207 | − | 0.0837950i | 0.310470 | − | 0.950583i | \(-0.399514\pi\) |
−0.498676 | + | 0.866788i | \(0.666180\pi\) | |||||||
\(648\) | −22.1443 | − | 1.16053i | −0.869909 | − | 0.0455900i | ||||
\(649\) | 4.71252 | + | 14.5036i | 0.184983 | + | 0.569318i | ||||
\(650\) | −0.0533627 | + | 2.18120i | −0.00209306 | + | 0.0855536i | ||||
\(651\) | 52.1810 | + | 12.0746i | 2.04513 | + | 0.473239i | ||||
\(652\) | 12.0597 | − | 45.0074i | 0.472294 | − | 1.76262i | ||||
\(653\) | −14.6886 | + | 16.3133i | −0.574808 | + | 0.638389i | −0.958507 | − | 0.285070i | \(-0.907983\pi\) |
0.383699 | + | 0.923458i | \(0.374650\pi\) | |||||||
\(654\) | 0.00419886 | − | 0.0129228i | 0.000164188 | − | 0.000505320i | ||||
\(655\) | −14.8726 | − | 2.35559i | −0.581122 | − | 0.0920406i | ||||
\(656\) | 4.74533 | − | 17.7098i | 0.185274 | − | 0.691452i | ||||
\(657\) | −66.4723 | − | 66.4723i | −2.59333 | − | 2.59333i | ||||
\(658\) | −1.42496 | + | 0.546990i | −0.0555506 | + | 0.0213239i | ||||
\(659\) | 15.8369 | − | 7.05103i | 0.616917 | − | 0.274669i | −0.0743911 | − | 0.997229i | \(-0.523701\pi\) |
0.691308 | + | 0.722560i | \(0.257035\pi\) | |||||||
\(660\) | −11.6800 | + | 16.0761i | −0.454643 | + | 0.625762i | ||||
\(661\) | −27.8850 | − | 14.2081i | −1.08460 | − | 0.552631i | −0.182082 | − | 0.983283i | \(-0.558283\pi\) |
−0.902518 | + | 0.430652i | \(0.858283\pi\) | |||||||
\(662\) | −0.0184292 | − | 0.175342i | −0.000716272 | − | 0.00681488i | ||||
\(663\) | 37.3520 | − | 69.0768i | 1.45063 | − | 2.68272i | ||||
\(664\) | 8.43639 | − | 7.59616i | 0.327395 | − | 0.294788i | ||||
\(665\) | −16.9400 | − | 6.50264i | −0.656903 | − | 0.252162i | ||||
\(666\) | 1.68866 | + | 7.94451i | 0.0654341 | + | 0.307843i | ||||
\(667\) | 14.6604 | − | 13.2003i | 0.567652 | − | 0.511116i | ||||
\(668\) | 20.5067 | + | 25.3236i | 0.793426 | + | 0.979800i | ||||
\(669\) | −50.2026 | − | 32.6020i | −1.94095 | − | 1.26046i | ||||
\(670\) | −2.34522 | − | 1.19495i | −0.0906036 | − | 0.0461648i | ||||
\(671\) | −7.60959 | − | 6.16213i | −0.293765 | − | 0.237886i | ||||
\(672\) | −18.0374 | − | 16.2409i | −0.695806 | − | 0.626507i | ||||
\(673\) | 25.2238 | + | 18.3262i | 0.972306 | + | 0.706422i | 0.955976 | − | 0.293445i | \(-0.0948017\pi\) |
0.0163301 | + | 0.999867i | \(0.494802\pi\) | |||||||
\(674\) | 1.65796 | − | 1.34259i | 0.0638622 | − | 0.0517146i | ||||
\(675\) | −38.0533 | − | 16.9424i | −1.46467 | − | 0.652114i | ||||
\(676\) | 11.6035 | + | 22.5808i | 0.446288 | + | 0.868491i | ||||
\(677\) | −10.5023 | − | 6.06348i | −0.403635 | − | 0.233039i | 0.284416 | − | 0.958701i | \(-0.408200\pi\) |
−0.688051 | + | 0.725662i | \(0.741534\pi\) | |||||||
\(678\) | 0.0204096 | − | 0.00783453i | 0.000783827 | − | 0.000300883i | ||||
\(679\) | −6.69836 | − | 7.43929i | −0.257060 | − | 0.285494i | ||||
\(680\) | 8.35266 | + | 1.77541i | 0.320310 | + | 0.0680840i | ||||
\(681\) | −60.3873 | + | 60.3873i | −2.31405 | + | 2.31405i | ||||
\(682\) | 2.00274 | − | 1.56309i | 0.0766888 | − | 0.0598538i | ||||
\(683\) | −9.99728 | − | 37.3104i | −0.382535 | − | 1.42764i | −0.842016 | − | 0.539453i | \(-0.818631\pi\) |
0.459480 | − | 0.888188i | \(-0.348036\pi\) | |||||||
\(684\) | 54.5169 | + | 27.7778i | 2.08451 | + | 1.06211i | ||||
\(685\) | −28.6654 | − | 9.31397i | −1.09525 | − | 0.355868i | ||||
\(686\) | −1.37319 | + | 3.08423i | −0.0524285 | + | 0.117756i | ||||
\(687\) | 18.6045 | − | 18.6045i | 0.709807 | − | 0.709807i | ||||
\(688\) | −10.2436 | − | 17.7425i | −0.390535 | − | 0.676426i | ||||
\(689\) | 0.855545 | + | 0.157044i | 0.0325937 | + | 0.00598291i | ||||
\(690\) | −2.93266 | − | 2.13070i | −0.111644 | − | 0.0811143i | ||||
\(691\) | 3.04413 | + | 19.2199i | 0.115804 | + | 0.731160i | 0.975442 | + | 0.220256i | \(0.0706892\pi\) |
−0.859638 | + | 0.510904i | \(0.829311\pi\) | |||||||
\(692\) | 4.78993 | + | 14.7419i | 0.182086 | + | 0.560403i | ||||
\(693\) | 43.0937 | + | 19.1866i | 1.63700 | + | 0.728837i | ||||
\(694\) | −0.190184 | − | 3.62893i | −0.00721930 | − | 0.137752i | ||||
\(695\) | −14.9447 | + | 23.0129i | −0.566886 | + | 0.872928i | ||||
\(696\) | −15.7643 | + | 2.49681i | −0.597543 | + | 0.0946415i | ||||
\(697\) | 29.3935 | − | 14.9767i | 1.11336 | − | 0.567284i | ||||
\(698\) | 4.28154 | + | 4.75513i | 0.162059 | + | 0.179984i | ||||
\(699\) | −55.6832 | + | 24.7918i | −2.10613 | + | 0.937711i | ||||
\(700\) | −7.30701 | − | 14.3408i | −0.276179 | − | 0.542032i | ||||
\(701\) | 2.11213 | + | 1.90177i | 0.0797740 | + | 0.0718288i | 0.708053 | − | 0.706159i | \(-0.249574\pi\) |
−0.628279 | + | 0.777988i | \(0.716240\pi\) | |||||||
\(702\) | 11.6533 | − | 0.937304i | 0.439825 | − | 0.0353763i | ||||
\(703\) | 4.23071 | − | 19.9039i | 0.159564 | − | 0.750691i | ||||
\(704\) | 14.3101 | − | 2.26650i | 0.539333 | − | 0.0854220i | ||||
\(705\) | −11.4518 | − | 1.20363i | −0.431299 | − | 0.0453314i | ||||
\(706\) | 2.93825 | − | 2.13476i | 0.110582 | − | 0.0803428i | ||||
\(707\) | 9.96417 | − | 37.1868i | 0.374741 | − | 1.39855i | ||||
\(708\) | −44.5297 | − | 11.9317i | −1.67353 | − | 0.448421i | ||||
\(709\) | −15.3285 | + | 18.9292i | −0.575675 | + | 0.710899i | −0.978932 | − | 0.204188i | \(-0.934545\pi\) |
0.403257 | + | 0.915087i | \(0.367878\pi\) | |||||||
\(710\) | −1.42372 | + | 2.19234i | −0.0534313 | + | 0.0822770i | ||||
\(711\) | −15.5477 | + | 73.1460i | −0.583083 | + | 2.74319i | ||||
\(712\) | −4.12386 | − | 7.14274i | −0.154548 | − | 0.267685i | ||||
\(713\) | −11.8215 | − | 15.1465i | −0.442720 | − | 0.567242i | ||||
\(714\) | − | 13.9729i | − | 0.522924i | ||||||
\(715\) | 5.36214 | − | 9.91647i | 0.200533 | − | 0.370855i | ||||
\(716\) | −8.04866 | − | 37.8660i | −0.300793 | − | 1.41512i | ||||
\(717\) | −7.84830 | − | 20.4455i | −0.293100 | − | 0.763552i | ||||
\(718\) | −0.549089 | −0.0204918 | ||||||||
\(719\) | 48.1057 | 1.79404 | 0.897019 | − | 0.441992i | \(-0.145728\pi\) | ||||
0.897019 | + | 0.441992i | \(0.145728\pi\) | |||||||
\(720\) | −15.0481 | − | 39.2017i | −0.560811 | − | 1.46096i | ||||
\(721\) | 20.3022 | + | 7.79327i | 0.756092 | + | 0.290237i | ||||
\(722\) | −0.268200 | − | 0.331199i | −0.00998135 | − | 0.0123259i | ||||
\(723\) | 9.41032 | − | 6.11113i | 0.349974 | − | 0.227276i | ||||
\(724\) | 6.70735 | − | 15.0649i | 0.249277 | − | 0.559884i | ||||
\(725\) | −15.5907 | − | 3.31390i | −0.579023 | − | 0.123075i | ||||
\(726\) | −4.14105 | + | 2.10997i | −0.153689 | + | 0.0783084i | ||||
\(727\) | −21.8506 | − | 2.29659i | −0.810395 | − | 0.0851760i | −0.309738 | − | 0.950822i | \(-0.600242\pi\) |
−0.500657 | + | 0.865646i | \(0.666908\pi\) | |||||||
\(728\) | 7.54437 | + | 5.16602i | 0.279613 | + | 0.191465i | ||||
\(729\) | −15.5556 | + | 47.8751i | −0.576132 | + | 1.77315i | ||||
\(730\) | −1.43256 | + | 3.73195i | −0.0530214 | + | 0.138126i | ||||
\(731\) | 11.3911 | − | 35.0583i | 0.421316 | − | 1.29668i | ||||
\(732\) | 28.1514 | − | 9.14696i | 1.04051 | − | 0.338081i | ||||
\(733\) | 7.71485 | − | 9.52705i | 0.284955 | − | 0.351890i | −0.614490 | − | 0.788925i | \(-0.710638\pi\) |
0.899444 | + | 0.437035i | \(0.143971\pi\) | |||||||
\(734\) | 0.179531 | + | 3.42565i | 0.00662660 | + | 0.126443i | ||||
\(735\) | 6.53558 | − | 5.29241i | 0.241069 | − | 0.195214i | ||||
\(736\) | 1.36208 | + | 8.59986i | 0.0502071 | + | 0.316995i | ||||
\(737\) | −10.0766 | − | 13.8693i | −0.371178 | − | 0.510882i | ||||
\(738\) | 7.03272 | + | 4.06034i | 0.258878 | + | 0.149463i | ||||
\(739\) | 24.3211 | + | 24.3211i | 0.894668 | + | 0.894668i | 0.994958 | − | 0.100290i | \(-0.0319772\pi\) |
−0.100290 | + | 0.994958i | \(0.531977\pi\) | |||||||
\(740\) | −11.5840 | + | 8.41626i | −0.425836 | + | 0.309388i | ||||
\(741\) | −45.6808 | − | 16.0881i | −1.67813 | − | 0.591009i | ||||
\(742\) | 0.147199 | − | 0.0478277i | 0.00540383 | − | 0.00175581i | ||||
\(743\) | −23.9479 | − | 6.41683i | −0.878564 | − | 0.235411i | −0.208777 | − | 0.977963i | \(-0.566948\pi\) |
−0.669788 | + | 0.742553i | \(0.733615\pi\) | |||||||
\(744\) | 1.34706 | + | 15.4866i | 0.0493857 | + | 0.567767i | ||||
\(745\) | 0.558529 | + | 0.322467i | 0.0204629 | + | 0.0118143i | ||||
\(746\) | 0.0338177 | − | 0.0663710i | 0.00123815 | − | 0.00243001i | ||||
\(747\) | −45.5998 | − | 89.4946i | −1.66841 | − | 3.27444i | ||||
\(748\) | 21.3541 | + | 17.2922i | 0.780785 | + | 0.632267i | ||||
\(749\) | −9.64116 | − | 35.9813i | −0.352280 | − | 1.31473i | ||||
\(750\) | 8.18104i | 0.298729i | ||||||||
\(751\) | 24.2777 | − | 2.55169i | 0.885905 | − | 0.0931124i | 0.349365 | − | 0.936987i | \(-0.386397\pi\) |
0.536541 | + | 0.843875i | \(0.319731\pi\) | |||||||
\(752\) | 5.56912 | + | 6.87730i | 0.203085 | + | 0.250789i | ||||
\(753\) | −15.4178 | − | 34.6290i | −0.561856 | − | 1.26195i | ||||
\(754\) | 4.28709 | − | 1.27792i | 0.156127 | − | 0.0465391i | ||||
\(755\) | −4.51224 | + | 0.474256i | −0.164217 | + | 0.0172599i | ||||
\(756\) | −72.3284 | + | 46.9706i | −2.63056 | + | 1.70830i | ||||
\(757\) | 34.4967 | + | 11.2087i | 1.25380 | + | 0.407386i | 0.859283 | − | 0.511501i | \(-0.170910\pi\) |
0.394522 | + | 0.918887i | \(0.370910\pi\) | |||||||
\(758\) | 0.933869 | − | 1.28536i | 0.0339197 | − | 0.0466864i | ||||
\(759\) | −10.7188 | − | 21.0368i | −0.389067 | − | 0.763587i | ||||
\(760\) | 0.275623 | − | 5.25920i | 0.00999789 | − | 0.190771i | ||||
\(761\) | 8.05316 | + | 50.8456i | 0.291927 | + | 1.84315i | 0.501245 | + | 0.865306i | \(0.332876\pi\) |
−0.209318 | + | 0.977848i | \(0.567124\pi\) | |||||||
\(762\) | 10.4645 | + | 0.548423i | 0.379090 | + | 0.0198673i | ||||
\(763\) | −0.0175723 | − | 0.0540821i | −0.000636161 | − | 0.00195790i | ||||
\(764\) | 20.8015 | + | 28.6308i | 0.752573 | + | 1.03583i | ||||
\(765\) | 34.3005 | − | 67.3185i | 1.24014 | − | 2.43391i | ||||
\(766\) | −0.0363250 | + | 0.0161729i | −0.00131247 | + | 0.000584351i | ||||
\(767\) | 25.9360 | + | 3.36917i | 0.936494 | + | 0.121654i | ||||
\(768\) | −16.3647 | + | 36.7558i | −0.590511 | + | 1.32631i | ||||
\(769\) | 7.67399 | − | 2.05624i | 0.276731 | − | 0.0741499i | −0.117784 | − | 0.993039i | \(-0.537579\pi\) |
0.394515 | + | 0.918889i | \(0.370912\pi\) | |||||||
\(770\) | − | 2.00591i | − | 0.0722881i | ||||||
\(771\) | 6.73676 | + | 64.0960i | 0.242618 | + | 2.30836i | ||||
\(772\) | −15.8188 | − | 10.2728i | −0.569331 | − | 0.369728i | ||||
\(773\) | 45.7405 | − | 29.7042i | 1.64517 | − | 1.06839i | 0.716432 | − | 0.697657i | \(-0.245774\pi\) |
0.928740 | − | 0.370730i | \(-0.120893\pi\) | |||||||
\(774\) | 8.76497 | − | 2.34857i | 0.315050 | − | 0.0844175i | ||||
\(775\) | −4.28645 | + | 14.9203i | −0.153974 | + | 0.535954i | ||||
\(776\) | 1.45272 | − | 2.51619i | 0.0521496 | − | 0.0903258i | ||||
\(777\) | 35.2433 | + | 31.7332i | 1.26435 | + | 1.13842i | ||||
\(778\) | −0.196702 | + | 3.75329i | −0.00705210 | + | 0.134562i | ||||
\(779\) | −11.9587 | − | 16.4597i | −0.428464 | − | 0.589730i | ||||
\(780\) | 16.3127 | + | 29.9214i | 0.584087 | + | 1.07136i | ||||
\(781\) | −14.7449 | + | 8.51297i | −0.527614 | + | 0.304618i | ||||
\(782\) | −3.15450 | + | 3.89549i | −0.112805 | + | 0.139302i | ||||
\(783\) | −8.92728 | + | 84.9374i | −0.319035 | + | 3.03541i | ||||
\(784\) | −6.42765 | − | 0.675573i | −0.229559 | − | 0.0241276i | ||||
\(785\) | 6.81357 | + | 10.4920i | 0.243187 | + | 0.374475i | ||||
\(786\) | −6.67637 | + | 2.56282i | −0.238138 | + | 0.0914127i | ||||
\(787\) | 1.42395 | − | 2.79466i | 0.0507584 | − | 0.0996190i | −0.864234 | − | 0.503090i | \(-0.832196\pi\) |
0.914992 | + | 0.403471i | \(0.132196\pi\) | |||||||
\(788\) | −1.84470 | + | 35.1991i | −0.0657149 | + | 1.25391i | ||||
\(789\) | 15.6702 | + | 11.3851i | 0.557876 | + | 0.405320i | ||||
\(790\) | 3.11042 | − | 0.661140i | 0.110664 | − | 0.0235223i | ||||
\(791\) | 0.0498300 | − | 0.0767314i | 0.00177175 | − | 0.00272825i | ||||
\(792\) | −1.43111 | + | 13.6161i | −0.0508523 | + | 0.483827i | ||||
\(793\) | −15.1445 | + | 7.25557i | −0.537798 | + | 0.257653i | ||||
\(794\) | −5.66359 | + | 6.29005i | −0.200993 | + | 0.223226i | ||||
\(795\) | 1.15326 | + | 0.182658i | 0.0409018 | + | 0.00647821i | ||||
\(796\) | −4.30394 | + | 1.39844i | −0.152549 | + | 0.0495663i | ||||
\(797\) | −2.20501 | + | 20.9792i | −0.0781053 | + | 0.743123i | 0.883453 | + | 0.468520i | \(0.155213\pi\) |
−0.961558 | + | 0.274602i | \(0.911454\pi\) | |||||||
\(798\) | −8.51141 | + | 1.34807i | −0.301301 | + | 0.0477213i | ||||
\(799\) | −2.49085 | + | 15.7266i | −0.0881199 | + | 0.556367i | ||||
\(800\) | 4.97445 | − | 4.97445i | 0.175874 | − | 0.175874i | ||||
\(801\) | −70.4873 | + | 18.8870i | −2.49055 | + | 0.667340i | ||||
\(802\) | −2.11715 | + | 0.222521i | −0.0747591 | + | 0.00785750i | ||||
\(803\) | −19.3487 | + | 17.4217i | −0.682802 | + | 0.614798i | ||||
\(804\) | 51.7532 | − | 2.71227i | 1.82519 | − | 0.0956544i | ||||
\(805\) | −15.1706 | −0.534692 | ||||||||
\(806\) | −0.948204 | − | 4.25257i | −0.0333991 | − | 0.149790i | ||||
\(807\) | −1.67345 | −0.0589081 | ||||||||
\(808\) | 11.1584 | − | 0.584789i | 0.392553 | − | 0.0205728i | ||||
\(809\) | −26.7308 | + | 24.0686i | −0.939806 | + | 0.846205i | −0.988285 | − | 0.152619i | \(-0.951229\pi\) |
0.0484789 | + | 0.998824i | \(0.484563\pi\) | |||||||
\(810\) | 8.29721 | − | 0.872072i | 0.291534 | − | 0.0306415i | ||||
\(811\) | −2.87574 | + | 0.770552i | −0.100981 | + | 0.0270577i | −0.308956 | − | 0.951076i | \(-0.599979\pi\) |
0.207975 | + | 0.978134i | \(0.433313\pi\) | |||||||
\(812\) | −23.3346 | + | 23.3346i | −0.818885 | + | 0.818885i | ||||
\(813\) | 6.19817 | − | 39.1337i | 0.217379 | − | 1.37248i | ||||
\(814\) | 2.22180 | − | 0.351899i | 0.0778742 | − | 0.0123341i | ||||
\(815\) | −3.70913 | + | 35.2900i | −0.129925 | + | 1.23615i | ||||
\(816\) | −77.0475 | + | 25.0342i | −2.69720 | + | 0.876374i | ||||
\(817\) | −22.4542 | − | 3.55640i | −0.785574 | − | 0.124423i | ||||
\(818\) | 0.0797720 | − | 0.0885958i | 0.00278916 | − | 0.00309768i | ||||
\(819\) | 61.4266 | − | 52.6462i | 2.14642 | − | 1.83961i | ||||
\(820\) | −1.49646 | + | 14.2379i | −0.0522586 | + | 0.497208i | ||||
\(821\) | −3.49492 | + | 5.38171i | −0.121974 | + | 0.187823i | −0.894383 | − | 0.447302i | \(-0.852385\pi\) |
0.772409 | + | 0.635125i | \(0.219052\pi\) | |||||||
\(822\) | −14.0016 | + | 2.97613i | −0.488362 | + | 0.103805i | ||||
\(823\) | 15.7489 | + | 11.4423i | 0.548973 | + | 0.398852i | 0.827407 | − | 0.561603i | \(-0.189815\pi\) |
−0.278434 | + | 0.960455i | \(0.589815\pi\) | |||||||
\(824\) | −0.330328 | + | 6.30303i | −0.0115075 | + | 0.219576i | ||||
\(825\) | −8.66033 | + | 16.9968i | −0.301514 | + | 0.591754i | ||||
\(826\) | 4.34457 | − | 1.66772i | 0.151167 | − | 0.0580275i | ||||
\(827\) | 19.7115 | + | 30.3531i | 0.685437 | + | 1.05548i | 0.994530 | + | 0.104449i | \(0.0333079\pi\) |
−0.309093 | + | 0.951032i | \(0.600025\pi\) | |||||||
\(828\) | 50.8752 | + | 5.34720i | 1.76803 | + | 0.185828i | ||||
\(829\) | −2.78915 | + | 26.5370i | −0.0968711 | + | 0.921667i | 0.832874 | + | 0.553463i | \(0.186694\pi\) |
−0.929745 | + | 0.368204i | \(0.879973\pi\) | |||||||
\(830\) | −2.68792 | + | 3.31930i | −0.0932989 | + | 0.115215i | ||||
\(831\) | 19.1613 | − | 11.0628i | 0.664699 | − | 0.383764i | ||||
\(832\) | 7.01619 | − | 23.8367i | 0.243243 | − | 0.826390i | ||||
\(833\) | −6.83528 | − | 9.40796i | −0.236828 | − | 0.325966i | ||||
\(834\) | −0.682026 | + | 13.0138i | −0.0236166 | + | 0.450632i | ||||
\(835\) | −18.4414 | − | 16.6047i | −0.638191 | − | 0.574630i | ||||
\(836\) | 8.47313 | − | 14.6759i | 0.293049 | − | 0.507576i | ||||
\(837\) | 81.9100 | + | 14.4854i | 2.83122 | + | 0.500688i | ||||
\(838\) | 2.26408 | − | 0.606659i | 0.0782115 | − | 0.0209567i | ||||
\(839\) | −30.2086 | + | 19.6177i | −1.04292 | + | 0.677277i | −0.948020 | − | 0.318210i | \(-0.896918\pi\) |
−0.0948954 | + | 0.995487i | \(0.530252\pi\) | |||||||
\(840\) | 10.2938 | + | 6.68487i | 0.355170 | + | 0.230650i | ||||
\(841\) | 0.384672 | + | 3.65991i | 0.0132646 | + | 0.126204i | ||||
\(842\) | − | 5.40435i | − | 0.186246i | ||||||
\(843\) | 22.1155 | − | 5.92584i | 0.761699 | − | 0.204097i | ||||
\(844\) | −14.5717 | + | 32.7286i | −0.501579 | + | 1.12657i | ||||
\(845\) | −11.4179 | − | 15.6023i | −0.392788 | − | 0.536734i | ||||
\(846\) | −3.58070 | + | 1.59423i | −0.123107 | + | 0.0548107i | ||||
\(847\) | −8.83029 | + | 17.3304i | −0.303412 | + | 0.595480i | ||||
\(848\) | −0.527450 | − | 0.725972i | −0.0181127 | − | 0.0249300i | ||||
\(849\) | −28.8948 | − | 88.9290i | −0.991666 | − | 3.05203i | ||||
\(850\) | 4.04439 | + | 0.211957i | 0.138721 | + | 0.00727007i | ||||
\(851\) | −2.66139 | − | 16.8033i | −0.0912311 | − | 0.576011i | ||||
\(852\) | 2.69369 | − | 51.3986i | 0.0922842 | − | 1.76089i | ||||
\(853\) | 23.9742 | + | 47.0520i | 0.820860 | + | 1.61103i | 0.791271 | + | 0.611466i | \(0.209420\pi\) |
0.0295894 | + | 0.999562i | \(0.490580\pi\) | |||||||
\(854\) | −1.75631 | + | 2.41736i | −0.0600997 | + | 0.0827202i | ||||
\(855\) | −44.3153 | − | 14.3989i | −1.51555 | − | 0.492433i | ||||
\(856\) | 9.06731 | − | 5.88838i | 0.309914 | − | 0.201261i | ||||
\(857\) | −3.29948 | + | 0.346790i | −0.112708 | + | 0.0118461i | −0.160715 | − | 0.987001i | \(-0.551380\pi\) |
0.0480064 | + | 0.998847i | \(0.484713\pi\) | |||||||
\(858\) | −0.149355 | − | 5.35187i | −0.00509891 | − | 0.182710i | ||||
\(859\) | −5.51032 | − | 12.3764i | −0.188010 | − | 0.422276i | 0.794807 | − | 0.606863i | \(-0.207572\pi\) |
−0.982816 | + | 0.184586i | \(0.940905\pi\) | |||||||
\(860\) | 10.0674 | + | 12.4322i | 0.343295 | + | 0.423933i | ||||
\(861\) | 47.1572 | − | 4.95642i | 1.60711 | − | 0.168914i | ||||
\(862\) | 0.951416i | 0.0324053i | ||||||||
\(863\) | −7.80947 | − | 29.1453i | −0.265837 | − | 0.992119i | −0.961736 | − | 0.273979i | \(-0.911660\pi\) |
0.695898 | − | 0.718140i | \(-0.255006\pi\) | |||||||
\(864\) | −29.2946 | − | 23.7223i | −0.996622 | − | 0.807048i | ||||
\(865\) | −5.35909 | − | 10.5178i | −0.182214 | − | 0.357616i | ||||
\(866\) | −3.42687 | + | 6.72560i | −0.116450 | + | 0.228545i | ||||
\(867\) | −78.3241 | − | 45.2204i | −2.66002 | − | 1.53577i | ||||
\(868\) | 21.0740 | + | 24.2675i | 0.715298 | + | 0.823692i | ||||
\(869\) | 20.0057 | + | 5.36051i | 0.678646 | + | 0.181843i | ||||
\(870\) | 5.71112 | − | 1.85565i | 0.193625 | − | 0.0629126i | ||||
\(871\) | −28.8995 | + | 5.40763i | −0.979221 | + | 0.183231i | ||||
\(872\) | 0.0133524 | − | 0.00970108i | 0.000452169 | − | 0.000328520i | ||||
\(873\) | −18.1773 | − | 18.1773i | −0.615209 | − | 0.615209i | ||||
\(874\) | 2.67722 | + | 1.54569i | 0.0905584 | + | 0.0522839i | ||||
\(875\) | 20.1245 | + | 27.6990i | 0.680333 | + | 0.936398i | ||||
\(876\) | −12.3125 | − | 77.7382i | −0.416002 | − | 2.62653i | ||||
\(877\) | −42.3215 | + | 34.2712i | −1.42909 | + | 1.15726i | −0.467094 | + | 0.884208i | \(0.654699\pi\) |
−0.962000 | + | 0.273050i | \(0.911968\pi\) | |||||||
\(878\) | 0.237634 | + | 4.53433i | 0.00801976 | + | 0.153026i | ||||
\(879\) | 8.52631 | − | 10.5291i | 0.287585 | − | 0.355138i | ||||
\(880\) | −11.0607 | + | 3.59384i | −0.372857 | + | 0.121148i | ||||
\(881\) | 9.08400 | − | 27.9577i | 0.306048 | − | 0.941918i | −0.673236 | − | 0.739427i | \(-0.735096\pi\) |
0.979284 | − | 0.202491i | \(-0.0649037\pi\) | |||||||
\(882\) | 1.02586 | − | 2.67247i | 0.0345426 | − | 0.0899866i | ||||
\(883\) | 1.85132 | − | 5.69778i | 0.0623019 | − | 0.191745i | −0.915061 | − | 0.403316i | \(-0.867858\pi\) |
0.977363 | + | 0.211570i | \(0.0678577\pi\) | |||||||
\(884\) | 42.4988 | − | 20.3607i | 1.42939 | − | 0.684804i | ||||
\(885\) | 34.9155 | + | 3.66976i | 1.17367 | + | 0.123358i | ||||
\(886\) | 5.93571 | − | 3.02440i | 0.199414 | − | 0.101607i | ||||
\(887\) | −7.40620 | − | 1.57424i | −0.248676 | − | 0.0528577i | 0.0818871 | − | 0.996642i | \(-0.473905\pi\) |
−0.330563 | + | 0.943784i | \(0.607239\pi\) | |||||||
\(888\) | −5.59849 | + | 12.5744i | −0.187873 | + | 0.421970i | ||||
\(889\) | 36.7794 | − | 23.8848i | 1.23354 | − | 0.801072i | ||||
\(890\) | 1.95284 | + | 2.41156i | 0.0654594 | + | 0.0808356i | ||||
\(891\) | 50.7300 | + | 19.4734i | 1.69952 | + | 0.652384i | ||||
\(892\) | −12.8730 | − | 33.5354i | −0.431020 | − | 1.12285i | ||||
\(893\) | 9.81995 | 0.328612 | ||||||||
\(894\) | 0.306293 | 0.0102440 | ||||||||
\(895\) | 10.5650 | + | 27.5229i | 0.353150 | + | 0.919988i | ||||
\(896\) | −4.02055 | − | 18.9152i | −0.134317 | − | 0.631912i | ||||
\(897\) | −40.4758 | + | 1.12956i | −1.35145 | + | 0.0377150i | ||||
\(898\) | − | 1.60945i | − | 0.0537081i | ||||||
\(899\) | 31.8101 | − | 1.09483i | 1.06093 | − | 0.0365146i | ||||
\(900\) | −20.6657 | − | 35.7941i | −0.688857 | − | 1.19314i | ||||
\(901\) | 0.335692 | − | 1.57931i | 0.0111835 | − | 0.0526143i | ||||
\(902\) | 1.22497 | − | 1.88628i | 0.0407870 | − | 0.0628064i | ||||
\(903\) | 33.3441 | − | 41.1766i | 1.10962 | − | 1.37027i | ||||
\(904\) | 0.0256496 | + | 0.00687278i | 0.000853092 | + | 0.000228585i | ||||
\(905\) | −3.25036 | + | 12.1305i | −0.108045 | + | 0.403231i | ||||
\(906\) | −1.74324 | + | 1.26654i | −0.0579152 | + | 0.0420779i | ||||
\(907\) | −57.5733 | − | 6.05120i | −1.91169 | − | 0.200927i | −0.926979 | − | 0.375114i | \(-0.877604\pi\) |
−0.984713 | + | 0.174187i | \(0.944270\pi\) | |||||||
\(908\) | −50.6170 | + | 8.01695i | −1.67978 | + | 0.266052i | ||||
\(909\) | 20.5547 | − | 96.7023i | 0.681756 | − | 3.20741i | ||||
\(910\) | −3.10757 | − | 1.47568i | −0.103015 | − | 0.0489184i | ||||
\(911\) | 38.5822 | + | 34.7395i | 1.27828 | + | 1.15097i | 0.980538 | + | 0.196327i | \(0.0629014\pi\) |
0.297746 | + | 0.954645i | \(0.403765\pi\) | |||||||
\(912\) | 22.6826 | + | 44.5171i | 0.751097 | + | 1.47411i | ||||
\(913\) | −25.4138 | + | 11.3149i | −0.841073 | + | 0.374470i | ||||
\(914\) | −4.26436 | − | 4.73605i | −0.141052 | − | 0.156654i | ||||
\(915\) | −20.0850 | + | 10.2338i | −0.663991 | + | 0.338320i | ||||
\(916\) | 15.5944 | − | 2.46992i | 0.515255 | − | 0.0816084i | ||||
\(917\) | −16.3003 | + | 25.1003i | −0.538284 | + | 0.828884i | ||||
\(918\) | −1.13572 | − | 21.6709i | −0.0374844 | − | 0.715246i | ||||
\(919\) | 28.3673 | + | 12.6300i | 0.935752 | + | 0.416624i | 0.817220 | − | 0.576326i | \(-0.195514\pi\) |
0.118533 | + | 0.992950i | \(0.462181\pi\) | |||||||
\(920\) | −1.36062 | − | 4.18757i | −0.0448585 | − | 0.138060i | ||||
\(921\) | 12.9359 | + | 81.6741i | 0.426253 | + | 2.69125i | ||||
\(922\) | −2.05334 | − | 1.49184i | −0.0676230 | − | 0.0491310i | ||||
\(923\) | 2.34104 | + | 29.1056i | 0.0770562 | + | 0.958023i | ||||
\(924\) | 19.7475 | + | 34.2037i | 0.649646 | + | 1.12522i | ||||
\(925\) | −9.71962 | + | 9.71962i | −0.319579 | + | 0.319579i | ||||
\(926\) | 2.00759 | − | 4.50911i | 0.0659734 | − | 0.148179i | ||||
\(927\) | 53.1110 | + | 17.2568i | 1.74439 | + | 0.566788i | ||||
\(928\) | −12.8518 | − | 6.54832i | −0.421881 | − | 0.214959i | ||||
\(929\) | 2.03444 | + | 7.59263i | 0.0667478 | + | 0.249106i | 0.991236 | − | 0.132105i | \(-0.0421737\pi\) |
−0.924488 | + | 0.381211i | \(0.875507\pi\) | |||||||
\(930\) | −1.41206 | − | 5.67561i | −0.0463033 | − | 0.186111i | ||||
\(931\) | −5.07127 | + | 5.07127i | −0.166204 | + | 0.166204i | ||||
\(932\) | −35.7779 | − | 7.60483i | −1.17194 | − | 0.249104i | ||||
\(933\) | 27.6805 | + | 30.7423i | 0.906219 | + | 1.00646i | ||||
\(934\) | 4.15313 | − | 1.59424i | 0.135894 | − | 0.0521650i | ||||
\(935\) | −18.1221 | − | 10.4628i | −0.592654 | − | 0.342169i | ||||
\(936\) | 20.0413 | + | 12.2340i | 0.655072 | + | 0.399880i | ||||
\(937\) | −15.6535 | − | 6.96938i | −0.511377 | − | 0.227680i | 0.134792 | − | 0.990874i | \(-0.456963\pi\) |
−0.646169 | + | 0.763194i | \(0.723630\pi\) | |||||||
\(938\) | −4.06559 | + | 3.29225i | −0.132746 | + | 0.107496i | ||||
\(939\) | −17.9133 | − | 13.0148i | −0.584578 | − | 0.424721i | ||||
\(940\) | −5.13510 | − | 4.62366i | −0.167488 | − | 0.150807i | ||||
\(941\) | −20.6607 | − | 16.7307i | −0.673519 | − | 0.545405i | 0.230407 | − | 0.973094i | \(-0.425994\pi\) |
−0.903926 | + | 0.427690i | \(0.859328\pi\) | |||||||
\(942\) | 5.29381 | + | 2.69733i | 0.172482 | + | 0.0878837i | ||||
\(943\) | −14.2658 | − | 9.26434i | −0.464559 | − | 0.301688i | ||||
\(944\) | −16.9798 | − | 20.9682i | −0.552644 | − | 0.682458i | ||||
\(945\) | 48.8077 | − | 43.9466i | 1.58771 | − | 1.42958i | ||||
\(946\) | −0.522527 | − | 2.45830i | −0.0169888 | − | 0.0799261i | ||||
\(947\) | −33.9645 | − | 13.0378i | −1.10370 | − | 0.423670i | −0.262794 | − | 0.964852i | \(-0.584644\pi\) |
−0.840906 | + | 0.541182i | \(0.817977\pi\) | |||||||
\(948\) | −46.5284 | + | 41.8944i | −1.51117 | + | 1.36067i | ||||
\(949\) | 12.7556 | + | 42.7917i | 0.414064 | + | 1.38908i | ||||
\(950\) | −0.261082 | − | 2.48403i | −0.00847062 | − | 0.0805926i | ||||
\(951\) | −53.7313 | − | 27.3775i | −1.74236 | − | 0.887776i | ||||
\(952\) | 9.97605 | − | 13.7309i | 0.323326 | − | 0.445020i | ||||
\(953\) | 22.2774 | − | 9.91856i | 0.721637 | − | 0.321294i | −0.0128488 | − | 0.999917i | \(-0.504090\pi\) |
0.734486 | + | 0.678624i | \(0.237423\pi\) | |||||||
\(954\) | 0.371053 | − | 0.142434i | 0.0120133 | − | 0.00461147i | ||||
\(955\) | −19.0572 | − | 19.0572i | −0.616676 | − | 0.616676i | ||||
\(956\) | 3.40141 | − | 12.6942i | 0.110009 | − | 0.410561i | ||||
\(957\) | 38.6305 | + | 6.11847i | 1.24875 | + | 0.197782i | ||||
\(958\) | 2.17827 | − | 6.70403i | 0.0703768 | − | 0.216597i | ||||
\(959\) | −40.0851 | + | 44.5190i | −1.29441 | + | 1.43759i | ||||
\(960\) | 8.63282 | − | 32.2181i | 0.278623 | − | 1.03983i | ||||
\(961\) | 1.11302 | − | 30.9800i | 0.0359038 | − | 0.999355i | ||||
\(962\) | 1.08934 | − | 3.70091i | 0.0351217 | − | 0.119322i | ||||
\(963\) | −29.5599 | − | 90.9759i | −0.952554 | − | 2.93166i | ||||
\(964\) | 6.72409 | + | 0.352395i | 0.216568 | + | 0.0113499i | ||||
\(965\) | 13.1223 | + | 5.84242i | 0.422421 | + | 0.188074i | ||||
\(966\) | −6.23955 | + | 3.60241i | −0.200754 | + | 0.115906i | ||||
\(967\) | −35.9737 | − | 9.63913i | −1.15684 | − | 0.309973i | −0.371135 | − | 0.928579i | \(-0.621031\pi\) |
−0.785702 | + | 0.618605i | \(0.787698\pi\) | |||||||
\(968\) | −5.57574 | − | 0.883111i | −0.179211 | − | 0.0283843i | ||||
\(969\) | −32.2163 | + | 83.9263i | −1.03494 | + | 2.69610i | ||||
\(970\) | −0.391744 | + | 1.02053i | −0.0125781 | + | 0.0327672i | ||||
\(971\) | 29.2952 | − | 32.5356i | 0.940129 | − | 1.04412i | −0.0588197 | − | 0.998269i | \(-0.518734\pi\) |
0.998948 | − | 0.0458500i | \(-0.0145996\pi\) | |||||||
\(972\) | −62.0832 | + | 45.1061i | −1.99132 | + | 1.44678i | ||||
\(973\) | 29.7035 | + | 45.7394i | 0.952251 | + | 1.46634i | ||||
\(974\) | −3.30223 | − | 3.66749i | −0.105810 | − | 0.117514i | ||||
\(975\) | 19.9605 | + | 25.9206i | 0.639249 | + | 0.830125i | ||||
\(976\) | 16.4761 | + | 5.35340i | 0.527387 | + | 0.171358i | ||||
\(977\) | 20.4365 | + | 13.2716i | 0.653823 | + | 0.424597i | 0.828470 | − | 0.560034i | \(-0.189212\pi\) |
−0.174647 | + | 0.984631i | \(0.555879\pi\) | |||||||
\(978\) | 6.85443 | + | 15.3953i | 0.219181 | + | 0.492288i | ||||
\(979\) | 4.20213 | + | 19.7695i | 0.134301 | + | 0.631834i | ||||
\(980\) | 5.03967 | − | 0.264118i | 0.160986 | − | 0.00843694i | ||||
\(981\) | −0.0523315 | − | 0.136328i | −0.00167082 | − | 0.00435263i | ||||
\(982\) | −1.94970 | + | 0.102179i | −0.0622174 | + | 0.00326067i | ||||
\(983\) | −54.9577 | − | 21.0963i | −1.75288 | − | 0.672867i | −0.999890 | − | 0.0148352i | \(-0.995278\pi\) |
−0.752990 | − | 0.658032i | \(-0.771389\pi\) | |||||||
\(984\) | 5.59759 | + | 12.5724i | 0.178445 | + | 0.400793i | ||||
\(985\) | −2.80581 | − | 26.6955i | −0.0894006 | − | 0.850590i | ||||
\(986\) | −2.14915 | − | 8.02074i | −0.0684429 | − | 0.255432i | ||||
\(987\) | −11.4432 | + | 19.8202i | −0.364242 | + | 0.630885i | ||||
\(988\) | −16.5026 | − | 23.9232i | −0.525018 | − | 0.761098i | ||||
\(989\) | −18.5919 | + | 3.95183i | −0.591188 | + | 0.125661i | ||||
\(990\) | −0.269587 | − | 5.14403i | −0.00856805 | − | 0.163488i | ||||
\(991\) | −41.1223 | + | 23.7420i | −1.30629 | + | 0.754188i | −0.981475 | − | 0.191589i | \(-0.938636\pi\) |
−0.324817 | + | 0.945777i | \(0.605303\pi\) | |||||||
\(992\) | −7.24144 | + | 12.0381i | −0.229916 | + | 0.382209i | ||||
\(993\) | −1.86933 | − | 1.86933i | −0.0593214 | − | 0.0593214i | ||||
\(994\) | 2.82972 | + | 4.35739i | 0.0897534 | + | 0.138208i | ||||
\(995\) | 3.07071 | − | 1.56460i | 0.0973480 | − | 0.0496013i | ||||
\(996\) | 13.1555 | − | 83.0605i | 0.416848 | − | 2.63187i | ||||
\(997\) | −16.6348 | − | 28.8123i | −0.526829 | − | 0.912495i | −0.999511 | − | 0.0312618i | \(-0.990047\pi\) |
0.472682 | − | 0.881233i | \(-0.343286\pi\) | |||||||
\(998\) | −0.896132 | + | 1.55215i | −0.0283666 | + | 0.0491323i | ||||
\(999\) | 57.2388 | + | 46.3511i | 1.81096 | + | 1.46648i |
(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 | 403.2.cc.a.24.18 | ✓ | 560 | |
13.6 | odd | 12 | 403.2.ch.a.396.18 | yes | 560 | ||
31.22 | odd | 30 | 403.2.ch.a.115.18 | yes | 560 | ||
403.84 | even | 60 | inner | 403.2.cc.a.84.18 | yes | 560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cc.a.24.18 | ✓ | 560 | 1.1 | even | 1 | trivial | |
403.2.cc.a.84.18 | yes | 560 | 403.84 | even | 60 | inner | |
403.2.ch.a.115.18 | yes | 560 | 31.22 | odd | 30 | ||
403.2.ch.a.396.18 | yes | 560 | 13.6 | odd | 12 |