Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(190,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.190");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.d (of order \(7\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{7})\) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 571.3 | ||
Character | \(\chi\) | \(=\) | 841.571 |
Dual form | 841.2.d.m.190.3 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{6}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.154074 | − | 0.0741982i | 0.108947 | − | 0.0524661i | −0.378617 | − | 0.925554i | \(-0.623600\pi\) |
0.487563 | + | 0.873088i | \(0.337886\pi\) | |||||||
\(3\) | 0.701005 | + | 0.879032i | 0.404725 | + | 0.507509i | 0.941869 | − | 0.335982i | \(-0.109068\pi\) |
−0.537143 | + | 0.843491i | \(0.680497\pi\) | |||||||
\(4\) | −1.22875 | + | 1.54080i | −0.614373 | + | 0.770399i | ||||
\(5\) | 2.54740 | − | 1.22676i | 1.13923 | − | 0.548626i | 0.233450 | − | 0.972369i | \(-0.424998\pi\) |
0.905782 | + | 0.423743i | \(0.139284\pi\) | |||||||
\(6\) | 0.173229 | + | 0.0834229i | 0.0707206 | + | 0.0340572i | ||||
\(7\) | −1.82432 | − | 2.28763i | −0.689529 | − | 0.864642i | 0.306664 | − | 0.951818i | \(-0.400787\pi\) |
−0.996193 | + | 0.0871757i | \(0.972216\pi\) | |||||||
\(8\) | −0.151100 | + | 0.662012i | −0.0534219 | + | 0.234057i | ||||
\(9\) | 0.386273 | − | 1.69237i | 0.128758 | − | 0.564124i | ||||
\(10\) | 0.301465 | − | 0.378025i | 0.0953317 | − | 0.119542i | ||||
\(11\) | −0.888454 | − | 3.89257i | −0.267879 | − | 1.17365i | −0.912475 | − | 0.409132i | \(-0.865832\pi\) |
0.644596 | − | 0.764523i | \(-0.277025\pi\) | |||||||
\(12\) | −2.21577 | −0.639637 | ||||||||
\(13\) | −0.625512 | − | 2.74055i | −0.173486 | − | 0.760091i | −0.984546 | − | 0.175128i | \(-0.943966\pi\) |
0.811060 | − | 0.584963i | \(-0.198891\pi\) | |||||||
\(14\) | −0.450819 | − | 0.217103i | −0.120486 | − | 0.0580232i | ||||
\(15\) | 2.86411 | + | 1.37928i | 0.739509 | + | 0.356129i | ||||
\(16\) | −0.851229 | − | 3.72948i | −0.212807 | − | 0.932370i | ||||
\(17\) | −0.482650 | −0.117060 | −0.0585299 | − | 0.998286i | \(-0.518641\pi\) | ||||
−0.0585299 | + | 0.998286i | \(0.518641\pi\) | |||||||
\(18\) | −0.0660563 | − | 0.289412i | −0.0155696 | − | 0.0682150i | ||||
\(19\) | 1.90144 | − | 2.38432i | 0.436219 | − | 0.547002i | −0.514323 | − | 0.857596i | \(-0.671957\pi\) |
0.950542 | + | 0.310595i | \(0.100528\pi\) | |||||||
\(20\) | −1.23991 | + | 5.43242i | −0.277253 | + | 1.21473i | ||||
\(21\) | 0.732040 | − | 3.20728i | 0.159744 | − | 0.699885i | ||||
\(22\) | −0.425710 | − | 0.533823i | −0.0907616 | − | 0.113811i | ||||
\(23\) | −4.96829 | − | 2.39260i | −1.03596 | − | 0.498892i | −0.162970 | − | 0.986631i | \(-0.552107\pi\) |
−0.872989 | + | 0.487739i | \(0.837822\pi\) | |||||||
\(24\) | −0.687851 | + | 0.331252i | −0.140407 | + | 0.0676165i | ||||
\(25\) | 1.86686 | − | 2.34097i | 0.373372 | − | 0.468193i | ||||
\(26\) | −0.299719 | − | 0.375836i | −0.0587797 | − | 0.0737075i | ||||
\(27\) | 4.79737 | − | 2.31029i | 0.923255 | − | 0.444616i | ||||
\(28\) | 5.76640 | 1.08975 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | 0.543625 | 0.0992519 | ||||||||
\(31\) | −3.47275 | + | 1.67239i | −0.623724 | + | 0.300370i | −0.718924 | − | 0.695088i | \(-0.755365\pi\) |
0.0952000 | + | 0.995458i | \(0.469651\pi\) | |||||||
\(32\) | −1.25462 | − | 1.57324i | −0.221787 | − | 0.278112i | ||||
\(33\) | 2.79888 | − | 3.50969i | 0.487223 | − | 0.610959i | ||||
\(34\) | −0.0743639 | + | 0.0358118i | −0.0127533 | + | 0.00614167i | ||||
\(35\) | −7.45366 | − | 3.58950i | −1.25990 | − | 0.606735i | ||||
\(36\) | 2.13297 | + | 2.67467i | 0.355496 | + | 0.445778i | ||||
\(37\) | −2.56868 | + | 11.2541i | −0.422288 | + | 1.85016i | 0.0966033 | + | 0.995323i | \(0.469202\pi\) |
−0.518891 | + | 0.854840i | \(0.673655\pi\) | |||||||
\(38\) | 0.116049 | − | 0.508446i | 0.0188257 | − | 0.0824808i | ||||
\(39\) | 1.97054 | − | 2.47098i | 0.315539 | − | 0.395674i | ||||
\(40\) | 0.427220 | + | 1.87177i | 0.0675495 | + | 0.295954i | ||||
\(41\) | 5.10756 | 0.797667 | 0.398833 | − | 0.917023i | \(-0.369415\pi\) | ||||
0.398833 | + | 0.917023i | \(0.369415\pi\) | |||||||
\(42\) | −0.125186 | − | 0.548475i | −0.0193166 | − | 0.0846315i | ||||
\(43\) | 7.40439 | + | 3.56577i | 1.12916 | + | 0.543775i | 0.902711 | − | 0.430248i | \(-0.141574\pi\) |
0.226449 | + | 0.974023i | \(0.427288\pi\) | |||||||
\(44\) | 7.08936 | + | 3.41405i | 1.06876 | + | 0.514688i | ||||
\(45\) | −1.09215 | − | 4.78502i | −0.162808 | − | 0.713309i | ||||
\(46\) | −0.943011 | −0.139039 | ||||||||
\(47\) | 0.531276 | + | 2.32767i | 0.0774946 | + | 0.339526i | 0.998781 | − | 0.0493584i | \(-0.0157176\pi\) |
−0.921287 | + | 0.388885i | \(0.872861\pi\) | |||||||
\(48\) | 2.68162 | − | 3.36264i | 0.387058 | − | 0.485355i | ||||
\(49\) | −0.347443 | + | 1.52225i | −0.0496347 | + | 0.217464i | ||||
\(50\) | 0.113939 | − | 0.499200i | 0.0161134 | − | 0.0705975i | ||||
\(51\) | −0.338340 | − | 0.424265i | −0.0473771 | − | 0.0594090i | ||||
\(52\) | 4.99123 | + | 2.40365i | 0.692159 | + | 0.333326i | ||||
\(53\) | 0.401975 | − | 0.193581i | 0.0552156 | − | 0.0265904i | −0.406072 | − | 0.913841i | \(-0.633102\pi\) |
0.461288 | + | 0.887251i | \(0.347388\pi\) | |||||||
\(54\) | 0.567732 | − | 0.711913i | 0.0772585 | − | 0.0968791i | ||||
\(55\) | −7.03852 | − | 8.82602i | −0.949074 | − | 1.19010i | ||||
\(56\) | 1.79009 | − | 0.862063i | 0.239211 | − | 0.115198i | ||||
\(57\) | 3.42881 | 0.454157 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.24537 | 0.162133 | 0.0810664 | − | 0.996709i | \(-0.474167\pi\) | ||||
0.0810664 | + | 0.996709i | \(0.474167\pi\) | |||||||
\(60\) | −5.64445 | + | 2.71823i | −0.728696 | + | 0.350921i | ||||
\(61\) | 5.35677 | + | 6.71717i | 0.685864 | + | 0.860046i | 0.995880 | − | 0.0906856i | \(-0.0289058\pi\) |
−0.310016 | + | 0.950731i | \(0.600334\pi\) | |||||||
\(62\) | −0.410973 | + | 0.515344i | −0.0521936 | + | 0.0654487i | ||||
\(63\) | −4.57621 | + | 2.20378i | −0.576548 | + | 0.277651i | ||||
\(64\) | 6.58308 | + | 3.17024i | 0.822885 | + | 0.396280i | ||||
\(65\) | −4.95544 | − | 6.21392i | −0.614646 | − | 0.770742i | ||||
\(66\) | 0.170823 | − | 0.748425i | 0.0210269 | − | 0.0921248i | ||||
\(67\) | 0.210269 | − | 0.921249i | 0.0256885 | − | 0.112548i | −0.960458 | − | 0.278424i | \(-0.910188\pi\) |
0.986147 | + | 0.165876i | \(0.0530450\pi\) | |||||||
\(68\) | 0.593055 | − | 0.743667i | 0.0719184 | − | 0.0901829i | ||||
\(69\) | −1.37962 | − | 6.04451i | −0.166087 | − | 0.727673i | ||||
\(70\) | −1.41475 | −0.169095 | ||||||||
\(71\) | −1.33021 | − | 5.82802i | −0.157867 | − | 0.691659i | −0.990463 | − | 0.137779i | \(-0.956004\pi\) |
0.832597 | − | 0.553880i | \(-0.186853\pi\) | |||||||
\(72\) | 1.06201 | + | 0.511435i | 0.125158 | + | 0.0602732i | ||||
\(73\) | 0.435458 | + | 0.209705i | 0.0509665 | + | 0.0245442i | 0.459193 | − | 0.888336i | \(-0.348138\pi\) |
−0.408227 | + | 0.912880i | \(0.633853\pi\) | |||||||
\(74\) | 0.439268 | + | 1.92456i | 0.0510639 | + | 0.223725i | ||||
\(75\) | 3.36646 | 0.388725 | ||||||||
\(76\) | 1.33738 | + | 5.85946i | 0.153408 | + | 0.672126i | ||||
\(77\) | −7.28393 | + | 9.13376i | −0.830081 | + | 1.04089i | ||||
\(78\) | 0.120267 | − | 0.526925i | 0.0136176 | − | 0.0596625i | ||||
\(79\) | 0.411944 | − | 1.80484i | 0.0463473 | − | 0.203061i | −0.946453 | − | 0.322841i | \(-0.895362\pi\) |
0.992800 | + | 0.119781i | \(0.0382191\pi\) | |||||||
\(80\) | −6.74361 | − | 8.45623i | −0.753959 | − | 0.945435i | ||||
\(81\) | 0.701839 | + | 0.337988i | 0.0779821 | + | 0.0375542i | ||||
\(82\) | 0.786943 | − | 0.378972i | 0.0869033 | − | 0.0418504i | ||||
\(83\) | 2.71744 | − | 3.40756i | 0.298277 | − | 0.374028i | −0.609996 | − | 0.792404i | \(-0.708829\pi\) |
0.908274 | + | 0.418376i | \(0.137401\pi\) | |||||||
\(84\) | 4.04228 | + | 5.06885i | 0.441048 | + | 0.553057i | ||||
\(85\) | −1.22950 | + | 0.592098i | −0.133358 | + | 0.0642220i | ||||
\(86\) | 1.40540 | 0.151548 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.71117 | 0.289012 | ||||||||
\(89\) | 14.0167 | − | 6.75011i | 1.48577 | − | 0.715510i | 0.497394 | − | 0.867525i | \(-0.334290\pi\) |
0.988378 | + | 0.152015i | \(0.0485761\pi\) | |||||||
\(90\) | −0.523312 | − | 0.656213i | −0.0551619 | − | 0.0691709i | ||||
\(91\) | −5.12822 | + | 6.43058i | −0.537583 | + | 0.674108i | ||||
\(92\) | 9.79128 | − | 4.71523i | 1.02081 | − | 0.491597i | ||||
\(93\) | −3.90450 | − | 1.88031i | −0.404878 | − | 0.194979i | ||||
\(94\) | 0.254565 | + | 0.319215i | 0.0262564 | + | 0.0329245i | ||||
\(95\) | 1.91872 | − | 8.40645i | 0.196856 | − | 0.862483i | ||||
\(96\) | 0.503437 | − | 2.20570i | 0.0513818 | − | 0.225118i | ||||
\(97\) | −1.50675 | + | 1.88941i | −0.152988 | + | 0.191840i | −0.852419 | − | 0.522859i | \(-0.824865\pi\) |
0.699431 | + | 0.714700i | \(0.253437\pi\) | |||||||
\(98\) | 0.0594161 | + | 0.260319i | 0.00600193 | + | 0.0262962i | ||||
\(99\) | −6.93087 | −0.696578 | ||||||||
\(100\) | 1.31306 | + | 5.75291i | 0.131306 | + | 0.575291i | ||||
\(101\) | −12.1583 | − | 5.85513i | −1.20980 | − | 0.582607i | −0.283344 | − | 0.959018i | \(-0.591444\pi\) |
−0.926453 | + | 0.376411i | \(0.877158\pi\) | |||||||
\(102\) | −0.0836092 | − | 0.0402641i | −0.00827854 | − | 0.00398674i | ||||
\(103\) | −0.389459 | − | 1.70633i | −0.0383745 | − | 0.168130i | 0.952110 | − | 0.305757i | \(-0.0989095\pi\) |
−0.990484 | + | 0.137627i | \(0.956052\pi\) | |||||||
\(104\) | 1.90879 | 0.187172 | ||||||||
\(105\) | −2.06977 | − | 9.06826i | −0.201989 | − | 0.884972i | ||||
\(106\) | 0.0475707 | − | 0.0596517i | 0.00462047 | − | 0.00579389i | ||||
\(107\) | 0.580401 | − | 2.54290i | 0.0561095 | − | 0.245832i | −0.939094 | − | 0.343661i | \(-0.888333\pi\) |
0.995203 | + | 0.0978294i | \(0.0311900\pi\) | |||||||
\(108\) | −2.33506 | + | 10.2305i | −0.224691 | + | 0.984435i | ||||
\(109\) | 5.70347 | + | 7.15192i | 0.546293 | + | 0.685030i | 0.975958 | − | 0.217959i | \(-0.0699398\pi\) |
−0.429665 | + | 0.902988i | \(0.641368\pi\) | |||||||
\(110\) | −1.73933 | − | 0.837617i | −0.165839 | − | 0.0798636i | ||||
\(111\) | −11.6934 | + | 5.63123i | −1.10989 | + | 0.534493i | ||||
\(112\) | −6.97874 | + | 8.75107i | −0.659429 | + | 0.826898i | ||||
\(113\) | 7.92375 | + | 9.93607i | 0.745404 | + | 0.934706i | 0.999472 | − | 0.0324796i | \(-0.0103404\pi\) |
−0.254069 | + | 0.967186i | \(0.581769\pi\) | |||||||
\(114\) | 0.528292 | − | 0.254412i | 0.0494790 | − | 0.0238278i | ||||
\(115\) | −15.5914 | −1.45390 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −4.87965 | −0.451123 | ||||||||
\(118\) | 0.191879 | − | 0.0924039i | 0.0176639 | − | 0.00850647i | ||||
\(119\) | 0.880510 | + | 1.10412i | 0.0807162 | + | 0.101215i | ||||
\(120\) | −1.34587 | + | 1.68766i | −0.122860 | + | 0.154062i | ||||
\(121\) | −4.45211 | + | 2.14402i | −0.404737 | + | 0.194911i | ||||
\(122\) | 1.32374 | + | 0.637480i | 0.119846 | + | 0.0577148i | ||||
\(123\) | 3.58042 | + | 4.48971i | 0.322836 | + | 0.404823i | ||||
\(124\) | 1.69031 | − | 7.40575i | 0.151795 | − | 0.665056i | ||||
\(125\) | −1.26196 | + | 5.52899i | −0.112873 | + | 0.494528i | ||||
\(126\) | −0.541558 | + | 0.679093i | −0.0482459 | + | 0.0604984i | ||||
\(127\) | 0.254762 | + | 1.11618i | 0.0226064 | + | 0.0990453i | 0.984973 | − | 0.172711i | \(-0.0552527\pi\) |
−0.962366 | + | 0.271756i | \(0.912396\pi\) | |||||||
\(128\) | 5.27401 | 0.466161 | ||||||||
\(129\) | 2.05609 | + | 9.00832i | 0.181029 | + | 0.793138i | ||||
\(130\) | −1.22457 | − | 0.589720i | −0.107402 | − | 0.0517219i | ||||
\(131\) | −15.7567 | − | 7.58804i | −1.37667 | − | 0.662970i | −0.408385 | − | 0.912810i | \(-0.633908\pi\) |
−0.968287 | + | 0.249840i | \(0.919622\pi\) | |||||||
\(132\) | 1.96861 | + | 8.62504i | 0.171345 | + | 0.750713i | ||||
\(133\) | −8.92328 | −0.773746 | ||||||||
\(134\) | −0.0359580 | − | 0.157542i | −0.00310630 | − | 0.0136096i | ||||
\(135\) | 9.38665 | − | 11.7705i | 0.807874 | − | 1.01304i | ||||
\(136\) | 0.0729284 | − | 0.319520i | 0.00625356 | − | 0.0273986i | ||||
\(137\) | 0.211198 | − | 0.925317i | 0.0180438 | − | 0.0790552i | −0.965104 | − | 0.261866i | \(-0.915662\pi\) |
0.983148 | + | 0.182810i | \(0.0585194\pi\) | |||||||
\(138\) | −0.661055 | − | 0.828937i | −0.0562728 | − | 0.0705638i | ||||
\(139\) | −6.53941 | − | 3.14921i | −0.554665 | − | 0.267113i | 0.135484 | − | 0.990779i | \(-0.456741\pi\) |
−0.690150 | + | 0.723667i | \(0.742455\pi\) | |||||||
\(140\) | 14.6893 | − | 7.07402i | 1.24148 | − | 0.597864i | ||||
\(141\) | −1.67367 | + | 2.09872i | −0.140949 | + | 0.176744i | ||||
\(142\) | −0.637379 | − | 0.799248i | −0.0534877 | − | 0.0670714i | ||||
\(143\) | −10.1120 | + | 4.86970i | −0.845611 | + | 0.407225i | ||||
\(144\) | −6.64048 | −0.553373 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.0826526 | 0.00684038 | ||||||||
\(147\) | −1.58166 | + | 0.761689i | −0.130453 | + | 0.0628231i | ||||
\(148\) | −14.1841 | − | 17.7863i | −1.16592 | − | 1.46202i | ||||
\(149\) | 10.6334 | − | 13.3339i | 0.871126 | − | 1.09236i | −0.123856 | − | 0.992300i | \(-0.539526\pi\) |
0.994982 | − | 0.100057i | \(-0.0319026\pi\) | |||||||
\(150\) | 0.518685 | − | 0.249785i | 0.0423504 | − | 0.0203949i | ||||
\(151\) | 8.86929 | + | 4.27122i | 0.721772 | + | 0.347587i | 0.758442 | − | 0.651740i | \(-0.225961\pi\) |
−0.0366700 | + | 0.999327i | \(0.511675\pi\) | |||||||
\(152\) | 1.29114 | + | 1.61904i | 0.104726 | + | 0.131322i | ||||
\(153\) | −0.186435 | + | 0.816824i | −0.0150724 | + | 0.0660363i | ||||
\(154\) | −0.444557 | + | 1.94773i | −0.0358234 | + | 0.156953i | ||||
\(155\) | −6.79487 | + | 8.52049i | −0.545777 | + | 0.684382i | ||||
\(156\) | 1.38599 | + | 6.07242i | 0.110968 | + | 0.486183i | ||||
\(157\) | −2.64062 | −0.210744 | −0.105372 | − | 0.994433i | \(-0.533603\pi\) | ||||
−0.105372 | + | 0.994433i | \(0.533603\pi\) | |||||||
\(158\) | −0.0704463 | − | 0.308645i | −0.00560440 | − | 0.0245545i | ||||
\(159\) | 0.451951 | + | 0.217648i | 0.0358420 | + | 0.0172606i | ||||
\(160\) | −5.12601 | − | 2.46856i | −0.405247 | − | 0.195157i | ||||
\(161\) | 3.59038 | + | 15.7305i | 0.282961 | + | 1.23973i | ||||
\(162\) | 0.133213 | 0.0104662 | ||||||||
\(163\) | −2.17559 | − | 9.53190i | −0.170406 | − | 0.746596i | −0.985832 | − | 0.167735i | \(-0.946355\pi\) |
0.815426 | − | 0.578861i | \(-0.196502\pi\) | |||||||
\(164\) | −6.27589 | + | 7.86972i | −0.490065 | + | 0.614522i | ||||
\(165\) | 2.82432 | − | 12.3742i | 0.219873 | − | 0.963327i | ||||
\(166\) | 0.165852 | − | 0.726646i | 0.0128726 | − | 0.0563987i | ||||
\(167\) | 14.7231 | + | 18.4622i | 1.13931 | + | 1.42865i | 0.887462 | + | 0.460881i | \(0.152467\pi\) |
0.251847 | + | 0.967767i | \(0.418962\pi\) | |||||||
\(168\) | 2.01264 | + | 0.969238i | 0.155279 | + | 0.0747784i | ||||
\(169\) | 4.59326 | − | 2.21200i | 0.353328 | − | 0.170154i | ||||
\(170\) | −0.145502 | + | 0.182454i | −0.0111595 | + | 0.0139936i | ||||
\(171\) | −3.30069 | − | 4.13894i | −0.252410 | − | 0.316512i | ||||
\(172\) | −14.5923 | + | 7.02726i | −1.11265 | + | 0.535823i | ||||
\(173\) | 5.22521 | 0.397265 | 0.198633 | − | 0.980074i | \(-0.436350\pi\) | ||||
0.198633 | + | 0.980074i | \(0.436350\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.76101 | −0.662270 | ||||||||
\(176\) | −13.7610 | + | 6.62694i | −1.03727 | + | 0.499525i | ||||
\(177\) | 0.873007 | + | 1.09472i | 0.0656192 | + | 0.0822839i | ||||
\(178\) | 1.65877 | − | 2.08004i | 0.124330 | − | 0.155905i | ||||
\(179\) | −10.2128 | + | 4.91824i | −0.763343 | + | 0.367607i | −0.774700 | − | 0.632329i | \(-0.782099\pi\) |
0.0113570 | + | 0.999936i | \(0.496385\pi\) | |||||||
\(180\) | 8.71473 | + | 4.19679i | 0.649557 | + | 0.312810i | ||||
\(181\) | 6.44743 | + | 8.08482i | 0.479233 | + | 0.600940i | 0.961405 | − | 0.275137i | \(-0.0887232\pi\) |
−0.482172 | + | 0.876077i | \(0.660152\pi\) | |||||||
\(182\) | −0.312988 | + | 1.37129i | −0.0232002 | + | 0.101647i | ||||
\(183\) | −2.14949 | + | 9.41754i | −0.158895 | + | 0.696164i | ||||
\(184\) | 2.33464 | − | 2.92754i | 0.172112 | − | 0.215821i | ||||
\(185\) | 7.26268 | + | 31.8199i | 0.533963 | + | 2.33944i | ||||
\(186\) | −0.741098 | −0.0543399 | ||||||||
\(187\) | 0.428813 | + | 1.87875i | 0.0313579 | + | 0.137388i | ||||
\(188\) | −4.23928 | − | 2.04153i | −0.309181 | − | 0.148894i | ||||
\(189\) | −14.0370 | − | 6.75988i | −1.02104 | − | 0.491709i | ||||
\(190\) | −0.328119 | − | 1.43758i | −0.0238042 | − | 0.104293i | ||||
\(191\) | −6.30617 | −0.456299 | −0.228149 | − | 0.973626i | \(-0.573267\pi\) | ||||
−0.228149 | + | 0.973626i | \(0.573267\pi\) | |||||||
\(192\) | 1.82802 | + | 8.00909i | 0.131926 | + | 0.578006i | ||||
\(193\) | −2.55769 | + | 3.20725i | −0.184107 | + | 0.230863i | −0.865317 | − | 0.501226i | \(-0.832883\pi\) |
0.681210 | + | 0.732088i | \(0.261454\pi\) | |||||||
\(194\) | −0.0919610 | + | 0.402908i | −0.00660242 | + | 0.0289271i | ||||
\(195\) | 1.98845 | − | 8.71198i | 0.142396 | − | 0.623878i | ||||
\(196\) | −1.91856 | − | 2.40580i | −0.137040 | − | 0.171843i | ||||
\(197\) | 18.3245 | + | 8.82462i | 1.30557 | + | 0.628728i | 0.951833 | − | 0.306618i | \(-0.0991974\pi\) |
0.353735 | + | 0.935346i | \(0.384912\pi\) | |||||||
\(198\) | −1.06787 | + | 0.514258i | −0.0758901 | + | 0.0365467i | ||||
\(199\) | −1.22899 | + | 1.54111i | −0.0871211 | + | 0.109246i | −0.823482 | − | 0.567343i | \(-0.807971\pi\) |
0.736360 | + | 0.676589i | \(0.236543\pi\) | |||||||
\(200\) | 1.26767 | + | 1.58960i | 0.0896375 | + | 0.112402i | ||||
\(201\) | 0.957207 | − | 0.460967i | 0.0675162 | − | 0.0325141i | ||||
\(202\) | −2.30772 | −0.162371 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 1.06944 | 0.0748758 | ||||||||
\(205\) | 13.0110 | − | 6.26577i | 0.908728 | − | 0.437620i | ||||
\(206\) | −0.186612 | − | 0.234004i | −0.0130019 | − | 0.0163038i | ||||
\(207\) | −5.96829 | + | 7.48399i | −0.414825 | + | 0.520173i | ||||
\(208\) | −9.68836 | + | 4.66567i | −0.671767 | + | 0.323506i | ||||
\(209\) | −10.9705 | − | 5.28311i | −0.758845 | − | 0.365440i | ||||
\(210\) | −0.991747 | − | 1.24361i | −0.0684371 | − | 0.0858174i | ||||
\(211\) | 3.96080 | − | 17.3534i | 0.272673 | − | 1.19466i | −0.634172 | − | 0.773192i | \(-0.718659\pi\) |
0.906844 | − | 0.421466i | \(-0.138484\pi\) | |||||||
\(212\) | −0.195656 | + | 0.857226i | −0.0134377 | + | 0.0588745i | ||||
\(213\) | 4.19053 | − | 5.25476i | 0.287131 | − | 0.360050i | ||||
\(214\) | −0.0992541 | − | 0.434861i | −0.00678487 | − | 0.0297265i | ||||
\(215\) | 23.2363 | 1.58470 | ||||||||
\(216\) | 0.804559 | + | 3.52500i | 0.0547433 | + | 0.239846i | ||||
\(217\) | 10.1612 | + | 4.89339i | 0.689789 | + | 0.332185i | ||||
\(218\) | 1.40942 | + | 0.678739i | 0.0954577 | + | 0.0459700i | ||||
\(219\) | 0.120920 | + | 0.529786i | 0.00817103 | + | 0.0357996i | ||||
\(220\) | 22.2477 | 1.49994 | ||||||||
\(221\) | 0.301904 | + | 1.32273i | 0.0203082 | + | 0.0889762i | ||||
\(222\) | −1.38382 | + | 1.73526i | −0.0928759 | + | 0.116463i | ||||
\(223\) | 4.22512 | − | 18.5115i | 0.282935 | − | 1.23962i | −0.611075 | − | 0.791572i | \(-0.709263\pi\) |
0.894010 | − | 0.448047i | \(-0.147880\pi\) | |||||||
\(224\) | −1.31016 | + | 5.74020i | −0.0875390 | + | 0.383533i | ||||
\(225\) | −3.24067 | − | 4.06367i | −0.216045 | − | 0.270911i | ||||
\(226\) | 1.95808 | + | 0.942963i | 0.130250 | + | 0.0627250i | ||||
\(227\) | −0.0933811 | + | 0.0449699i | −0.00619792 | + | 0.00298476i | −0.436980 | − | 0.899471i | \(-0.643952\pi\) |
0.430782 | + | 0.902456i | \(0.358238\pi\) | |||||||
\(228\) | −4.21314 | + | 5.28311i | −0.279022 | + | 0.349883i | ||||
\(229\) | 8.23049 | + | 10.3207i | 0.543886 | + | 0.682012i | 0.975488 | − | 0.220053i | \(-0.0706229\pi\) |
−0.431602 | + | 0.902064i | \(0.642051\pi\) | |||||||
\(230\) | −2.40223 | + | 1.15685i | −0.158398 | + | 0.0762806i | ||||
\(231\) | −13.1349 | −0.864215 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.18750 | −0.143308 | −0.0716538 | − | 0.997430i | \(-0.522828\pi\) | ||||
−0.0716538 | + | 0.997430i | \(0.522828\pi\) | |||||||
\(234\) | −0.751828 | + | 0.362061i | −0.0491485 | + | 0.0236687i | ||||
\(235\) | 4.20888 | + | 5.27777i | 0.274557 | + | 0.344284i | ||||
\(236\) | −1.53024 | + | 1.91886i | −0.0996100 | + | 0.124907i | ||||
\(237\) | 1.87529 | − | 0.903092i | 0.121813 | − | 0.0586621i | ||||
\(238\) | 0.217588 | + | 0.104785i | 0.0141041 | + | 0.00679219i | ||||
\(239\) | 9.54386 | + | 11.9676i | 0.617341 | + | 0.774121i | 0.987968 | − | 0.154661i | \(-0.0494285\pi\) |
−0.370627 | + | 0.928782i | \(0.620857\pi\) | |||||||
\(240\) | 2.70599 | − | 11.8557i | 0.174671 | − | 0.765283i | ||||
\(241\) | 3.02515 | − | 13.2541i | 0.194867 | − | 0.853768i | −0.779068 | − | 0.626940i | \(-0.784307\pi\) |
0.973935 | − | 0.226829i | \(-0.0728357\pi\) | |||||||
\(242\) | −0.526872 | + | 0.660677i | −0.0338686 | + | 0.0424699i | ||||
\(243\) | −3.35967 | − | 14.7197i | −0.215523 | − | 0.944267i | ||||
\(244\) | −16.9319 | −1.08395 | ||||||||
\(245\) | 0.982362 | + | 4.30401i | 0.0627608 | + | 0.274973i | ||||
\(246\) | 0.884779 | + | 0.426087i | 0.0564115 | + | 0.0271663i | ||||
\(247\) | −7.72373 | − | 3.71955i | −0.491449 | − | 0.236669i | ||||
\(248\) | −0.582409 | − | 2.55170i | −0.0369830 | − | 0.162033i | ||||
\(249\) | 4.90029 | 0.310543 | ||||||||
\(250\) | 0.215807 | + | 0.945510i | 0.0136488 | + | 0.0597993i | ||||
\(251\) | −12.8046 | + | 16.0564i | −0.808216 | + | 1.01347i | 0.191274 | + | 0.981537i | \(0.438738\pi\) |
−0.999490 | + | 0.0319344i | \(0.989833\pi\) | |||||||
\(252\) | 2.22741 | − | 9.75890i | 0.140313 | − | 0.614753i | ||||
\(253\) | −4.89927 | + | 21.4651i | −0.308015 | + | 1.34950i | ||||
\(254\) | 0.122071 | + | 0.153072i | 0.00765942 | + | 0.00960461i | ||||
\(255\) | −1.38236 | − | 0.665710i | −0.0865668 | − | 0.0416884i | ||||
\(256\) | −12.3536 | + | 5.94916i | −0.772098 | + | 0.371823i | ||||
\(257\) | 12.3518 | − | 15.4887i | 0.770486 | − | 0.966159i | −0.229488 | − | 0.973311i | \(-0.573705\pi\) |
0.999974 | + | 0.00715224i | \(0.00227665\pi\) | |||||||
\(258\) | 0.985192 | + | 1.23539i | 0.0613354 | + | 0.0769121i | ||||
\(259\) | 30.4313 | − | 14.6549i | 1.89091 | − | 0.910614i | ||||
\(260\) | 15.6634 | 0.971401 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.99072 | −0.184768 | ||||||||
\(263\) | 13.3960 | − | 6.45116i | 0.826031 | − | 0.397796i | 0.0274060 | − | 0.999624i | \(-0.491275\pi\) |
0.798625 | + | 0.601829i | \(0.205561\pi\) | |||||||
\(264\) | 1.90055 | + | 2.38321i | 0.116971 | + | 0.146676i | ||||
\(265\) | 0.786515 | − | 0.986258i | 0.0483152 | − | 0.0605854i | ||||
\(266\) | −1.37485 | + | 0.662091i | −0.0842973 | + | 0.0405954i | ||||
\(267\) | 15.7594 | + | 7.58931i | 0.964458 | + | 0.464458i | ||||
\(268\) | 1.16109 | + | 1.45596i | 0.0709250 | + | 0.0889371i | ||||
\(269\) | 0.346436 | − | 1.51784i | 0.0211226 | − | 0.0925441i | −0.963268 | − | 0.268542i | \(-0.913458\pi\) |
0.984391 | + | 0.175998i | \(0.0563153\pi\) | |||||||
\(270\) | 0.572892 | − | 2.51000i | 0.0348651 | − | 0.152754i | ||||
\(271\) | −7.57624 | + | 9.50030i | −0.460224 | + | 0.577102i | −0.956747 | − | 0.290921i | \(-0.906038\pi\) |
0.496523 | + | 0.868023i | \(0.334610\pi\) | |||||||
\(272\) | 0.410846 | + | 1.80003i | 0.0249112 | + | 0.109143i | ||||
\(273\) | −9.24759 | −0.559690 | ||||||||
\(274\) | −0.0361168 | − | 0.158238i | −0.00218189 | − | 0.00955950i | ||||
\(275\) | −10.7710 | − | 5.18704i | −0.649516 | − | 0.312790i | ||||
\(276\) | 11.0086 | + | 5.30145i | 0.662638 | + | 0.319110i | ||||
\(277\) | 2.67977 | + | 11.7409i | 0.161012 | + | 0.705439i | 0.989392 | + | 0.145272i | \(0.0464059\pi\) |
−0.828380 | + | 0.560167i | \(0.810737\pi\) | |||||||
\(278\) | −1.24122 | −0.0744434 | ||||||||
\(279\) | 1.48887 | + | 6.52319i | 0.0891366 | + | 0.390533i | ||||
\(280\) | 3.50254 | − | 4.39204i | 0.209317 | − | 0.262475i | ||||
\(281\) | −3.04306 | + | 13.3325i | −0.181534 | + | 0.795351i | 0.799367 | + | 0.600843i | \(0.205168\pi\) |
−0.980901 | + | 0.194508i | \(0.937689\pi\) | |||||||
\(282\) | −0.102149 | + | 0.447542i | −0.00608286 | + | 0.0266507i | ||||
\(283\) | −16.2063 | − | 20.3221i | −0.963367 | − | 1.20802i | −0.978101 | − | 0.208133i | \(-0.933261\pi\) |
0.0147331 | − | 0.999891i | \(-0.495310\pi\) | |||||||
\(284\) | 10.6143 | + | 5.11157i | 0.629842 | + | 0.303316i | ||||
\(285\) | 8.73456 | − | 4.20634i | 0.517391 | − | 0.249162i | ||||
\(286\) | −1.19668 | + | 1.50059i | −0.0707613 | + | 0.0887318i | ||||
\(287\) | −9.31784 | − | 11.6842i | −0.550015 | − | 0.689696i | ||||
\(288\) | −3.14714 | + | 1.51558i | −0.185447 | + | 0.0893065i | ||||
\(289\) | −16.7670 | −0.986297 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.71709 | −0.159279 | ||||||||
\(292\) | −0.858181 | + | 0.413278i | −0.0502212 | + | 0.0241853i | ||||
\(293\) | 3.57030 | + | 4.47701i | 0.208579 | + | 0.261550i | 0.875106 | − | 0.483931i | \(-0.160791\pi\) |
−0.666527 | + | 0.745481i | \(0.732220\pi\) | |||||||
\(294\) | −0.187178 | + | 0.234713i | −0.0109164 | + | 0.0136888i | ||||
\(295\) | 3.17245 | − | 1.52777i | 0.184707 | − | 0.0889502i | ||||
\(296\) | −7.06223 | − | 3.40099i | −0.410483 | − | 0.197678i | ||||
\(297\) | −13.2552 | − | 16.6215i | −0.769146 | − | 0.964479i | ||||
\(298\) | 0.648987 | − | 2.84340i | 0.0375948 | − | 0.164714i | ||||
\(299\) | −3.44931 | + | 15.1124i | −0.199479 | + | 0.873974i | ||||
\(300\) | −4.13653 | + | 5.18704i | −0.238822 | + | 0.299474i | ||||
\(301\) | −5.35085 | − | 23.4436i | −0.308418 | − | 1.35127i | ||||
\(302\) | 1.68345 | 0.0968714 | ||||||||
\(303\) | −3.37618 | − | 14.7920i | −0.193956 | − | 0.849779i | ||||
\(304\) | −10.5108 | − | 5.06176i | −0.602838 | − | 0.290312i | ||||
\(305\) | 21.8862 | + | 10.5398i | 1.25320 | + | 0.603510i | ||||
\(306\) | 0.0318821 | + | 0.139685i | 0.00182258 | + | 0.00798524i | ||||
\(307\) | −12.7599 | −0.728244 | −0.364122 | − | 0.931351i | \(-0.618631\pi\) | ||||
−0.364122 | + | 0.931351i | \(0.618631\pi\) | |||||||
\(308\) | −5.12319 | − | 22.4461i | −0.291921 | − | 1.27899i | ||||
\(309\) | 1.22691 | − | 1.53849i | 0.0697963 | − | 0.0875217i | ||||
\(310\) | −0.414708 | + | 1.81695i | −0.0235538 | + | 0.103196i | ||||
\(311\) | 2.78495 | − | 12.2017i | 0.157920 | − | 0.691893i | −0.832525 | − | 0.553987i | \(-0.813106\pi\) |
0.990445 | − | 0.137906i | \(-0.0440372\pi\) | |||||||
\(312\) | 1.33807 | + | 1.67789i | 0.0757533 | + | 0.0949917i | ||||
\(313\) | −23.2978 | − | 11.2196i | −1.31687 | − | 0.634171i | −0.362274 | − | 0.932072i | \(-0.617999\pi\) |
−0.954597 | + | 0.297900i | \(0.903714\pi\) | |||||||
\(314\) | −0.406851 | + | 0.195929i | −0.0229599 | + | 0.0110569i | ||||
\(315\) | −8.95391 | + | 11.2279i | −0.504496 | + | 0.632618i | ||||
\(316\) | 2.27473 | + | 2.85242i | 0.127963 | + | 0.160461i | ||||
\(317\) | −24.4225 | + | 11.7612i | −1.37170 | + | 0.660577i | −0.967213 | − | 0.253966i | \(-0.918265\pi\) |
−0.404489 | + | 0.914543i | \(0.632551\pi\) | |||||||
\(318\) | 0.0857831 | 0.00481047 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 20.6589 | 1.15487 | ||||||||
\(321\) | 2.64216 | − | 1.27240i | 0.147471 | − | 0.0710182i | ||||
\(322\) | 1.72036 | + | 2.15726i | 0.0958717 | + | 0.120219i | ||||
\(323\) | −0.917728 | + | 1.15079i | −0.0510638 | + | 0.0640319i | ||||
\(324\) | −1.38315 | + | 0.666092i | −0.0768419 | + | 0.0370051i | ||||
\(325\) | −7.58327 | − | 3.65191i | −0.420644 | − | 0.202572i | ||||
\(326\) | −1.04245 | − | 1.30719i | −0.0577361 | − | 0.0723988i | ||||
\(327\) | −2.28861 | + | 10.0271i | −0.126560 | + | 0.554498i | ||||
\(328\) | −0.771752 | + | 3.38127i | −0.0426129 | + | 0.186699i | ||||
\(329\) | 4.35563 | − | 5.46179i | 0.240134 | − | 0.301118i | ||||
\(330\) | −0.482986 | − | 2.11610i | −0.0265875 | − | 0.116487i | ||||
\(331\) | 10.9792 | 0.603470 | 0.301735 | − | 0.953392i | \(-0.402434\pi\) | ||||
0.301735 | + | 0.953392i | \(0.402434\pi\) | |||||||
\(332\) | 1.91132 | + | 8.37405i | 0.104897 | + | 0.459586i | ||||
\(333\) | 18.0539 | + | 8.69431i | 0.989349 | + | 0.476445i | ||||
\(334\) | 3.63831 | + | 1.75212i | 0.199080 | + | 0.0958717i | ||||
\(335\) | −0.594515 | − | 2.60474i | −0.0324819 | − | 0.142312i | ||||
\(336\) | −12.5846 | −0.686546 | ||||||||
\(337\) | 3.82563 | + | 16.7612i | 0.208395 | + | 0.913040i | 0.965635 | + | 0.259902i | \(0.0836904\pi\) |
−0.757240 | + | 0.653137i | \(0.773452\pi\) | |||||||
\(338\) | 0.543576 | − | 0.681623i | 0.0295667 | − | 0.0370754i | ||||
\(339\) | −3.17954 | + | 13.9305i | −0.172689 | + | 0.756599i | ||||
\(340\) | 0.598444 | − | 2.62196i | 0.0324552 | − | 0.142196i | ||||
\(341\) | 9.59527 | + | 12.0321i | 0.519613 | + | 0.651574i | ||||
\(342\) | −0.815653 | − | 0.392798i | −0.0441055 | − | 0.0212401i | ||||
\(343\) | −14.3374 | + | 6.90451i | −0.774145 | + | 0.372809i | ||||
\(344\) | −3.47938 | + | 4.36301i | −0.187596 | + | 0.235238i | ||||
\(345\) | −10.9296 | − | 13.7053i | −0.588431 | − | 0.737870i | ||||
\(346\) | 0.805070 | − | 0.387701i | 0.0432808 | − | 0.0208429i | ||||
\(347\) | 31.2968 | 1.68010 | 0.840049 | − | 0.542510i | \(-0.182526\pi\) | ||||
0.840049 | + | 0.542510i | \(0.182526\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.8395 | −0.901398 | −0.450699 | − | 0.892676i | \(-0.648825\pi\) | ||||
−0.450699 | + | 0.892676i | \(0.648825\pi\) | |||||||
\(350\) | −1.34985 | + | 0.650051i | −0.0721523 | + | 0.0347467i | ||||
\(351\) | −9.33228 | − | 11.7023i | −0.498120 | − | 0.624623i | ||||
\(352\) | −5.00929 | + | 6.28145i | −0.266996 | + | 0.334802i | ||||
\(353\) | 24.0306 | − | 11.5725i | 1.27902 | − | 0.615944i | 0.333883 | − | 0.942615i | \(-0.391641\pi\) |
0.945138 | + | 0.326671i | \(0.105927\pi\) | |||||||
\(354\) | 0.215734 | + | 0.103892i | 0.0114661 | + | 0.00552179i | ||||
\(355\) | −10.5382 | − | 13.2145i | −0.559308 | − | 0.701350i | ||||
\(356\) | −6.82246 | + | 29.8912i | −0.361590 | + | 1.58423i | ||||
\(357\) | −0.353319 | + | 1.54799i | −0.0186996 | + | 0.0819284i | ||||
\(358\) | −1.20861 | + | 1.51555i | −0.0638770 | + | 0.0800992i | ||||
\(359\) | 2.69123 | + | 11.7911i | 0.142038 | + | 0.622308i | 0.994960 | + | 0.100270i | \(0.0319708\pi\) |
−0.852923 | + | 0.522038i | \(0.825172\pi\) | |||||||
\(360\) | 3.33276 | 0.175652 | ||||||||
\(361\) | 2.15835 | + | 9.45635i | 0.113597 | + | 0.497703i | ||||
\(362\) | 1.59326 | + | 0.767274i | 0.0837400 | + | 0.0403270i | ||||
\(363\) | −5.00561 | − | 2.41058i | −0.262727 | − | 0.126522i | ||||
\(364\) | −3.60696 | − | 15.8031i | −0.189056 | − | 0.828308i | ||||
\(365\) | 1.36655 | 0.0715282 | ||||||||
\(366\) | 0.367583 | + | 1.61049i | 0.0192139 | + | 0.0841816i | ||||
\(367\) | 21.1776 | − | 26.5559i | 1.10546 | − | 1.38621i | 0.190975 | − | 0.981595i | \(-0.438835\pi\) |
0.914488 | − | 0.404612i | \(-0.132594\pi\) | |||||||
\(368\) | −4.69400 | + | 20.5658i | −0.244692 | + | 1.07206i | ||||
\(369\) | 1.97291 | − | 8.64389i | 0.102706 | − | 0.449983i | ||||
\(370\) | 3.47997 | + | 4.36375i | 0.180915 | + | 0.226860i | ||||
\(371\) | −1.17617 | − | 0.566416i | −0.0610639 | − | 0.0294068i | ||||
\(372\) | 7.69481 | − | 3.70563i | 0.398957 | − | 0.192128i | ||||
\(373\) | 3.86240 | − | 4.84329i | 0.199987 | − | 0.250776i | −0.671718 | − | 0.740807i | \(-0.734443\pi\) |
0.871705 | + | 0.490031i | \(0.163015\pi\) | |||||||
\(374\) | 0.205469 | + | 0.257650i | 0.0106245 | + | 0.0133228i | ||||
\(375\) | −5.74480 | + | 2.76655i | −0.296660 | + | 0.142864i | ||||
\(376\) | −1.62122 | −0.0836082 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −2.66432 | −0.137038 | ||||||||
\(379\) | −23.5109 | + | 11.3223i | −1.20767 | + | 0.581585i | −0.925854 | − | 0.377882i | \(-0.876652\pi\) |
−0.281820 | + | 0.959467i | \(0.590938\pi\) | |||||||
\(380\) | 10.5950 | + | 13.2857i | 0.543513 | + | 0.681544i | ||||
\(381\) | −0.802572 | + | 1.00639i | −0.0411170 | + | 0.0515591i | ||||
\(382\) | −0.971619 | + | 0.467907i | −0.0497123 | + | 0.0239402i | ||||
\(383\) | −18.8120 | − | 9.05940i | −0.961250 | − | 0.462914i | −0.113633 | − | 0.993523i | \(-0.536249\pi\) |
−0.847617 | + | 0.530609i | \(0.821963\pi\) | |||||||
\(384\) | 3.69711 | + | 4.63603i | 0.188667 | + | 0.236581i | ||||
\(385\) | −7.35013 | + | 32.2030i | −0.374597 | + | 1.64122i | ||||
\(386\) | −0.156103 | + | 0.683930i | −0.00794541 | + | 0.0348111i | ||||
\(387\) | 8.89473 | − | 11.1536i | 0.452144 | − | 0.566971i | ||||
\(388\) | −1.05978 | − | 4.64321i | −0.0538023 | − | 0.235723i | ||||
\(389\) | −15.7075 | −0.796400 | −0.398200 | − | 0.917299i | \(-0.630365\pi\) | ||||
−0.398200 | + | 0.917299i | \(0.630365\pi\) | |||||||
\(390\) | −0.340044 | − | 1.48983i | −0.0172188 | − | 0.0754405i | ||||
\(391\) | 2.39794 | + | 1.15479i | 0.121269 | + | 0.0584002i | ||||
\(392\) | −0.955248 | − | 0.460023i | −0.0482473 | − | 0.0232347i | ||||
\(393\) | −4.37541 | − | 19.1699i | −0.220710 | − | 0.966995i | ||||
\(394\) | 3.47811 | 0.175224 | ||||||||
\(395\) | −1.16473 | − | 5.10302i | −0.0586040 | − | 0.256761i | ||||
\(396\) | 8.51628 | − | 10.6791i | 0.427959 | − | 0.536644i | ||||
\(397\) | −2.57280 | + | 11.2722i | −0.129125 | + | 0.565734i | 0.868428 | + | 0.495816i | \(0.165131\pi\) |
−0.997553 | + | 0.0699182i | \(0.977726\pi\) | |||||||
\(398\) | −0.0750087 | + | 0.328634i | −0.00375984 | + | 0.0164730i | ||||
\(399\) | −6.25526 | − | 7.84385i | −0.313155 | − | 0.392684i | ||||
\(400\) | −10.3197 | − | 4.96971i | −0.515985 | − | 0.248485i | ||||
\(401\) | 4.33830 | − | 2.08921i | 0.216644 | − | 0.104330i | −0.322414 | − | 0.946599i | \(-0.604494\pi\) |
0.539059 | + | 0.842268i | \(0.318780\pi\) | |||||||
\(402\) | 0.113278 | − | 0.142046i | 0.00564979 | − | 0.00708462i | ||||
\(403\) | 6.75551 | + | 8.47114i | 0.336516 | + | 0.421978i | ||||
\(404\) | 23.9610 | − | 11.5390i | 1.19211 | − | 0.574088i | ||||
\(405\) | 2.20250 | 0.109443 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 46.0896 | 2.28457 | ||||||||
\(408\) | 0.331992 | − | 0.159879i | 0.0164360 | − | 0.00791518i | ||||
\(409\) | −14.8889 | − | 18.6701i | −0.736209 | − | 0.923177i | 0.262924 | − | 0.964817i | \(-0.415313\pi\) |
−0.999133 | + | 0.0416399i | \(0.986742\pi\) | |||||||
\(410\) | 1.53975 | − | 1.93079i | 0.0760429 | − | 0.0953548i | ||||
\(411\) | 0.961434 | − | 0.463002i | 0.0474240 | − | 0.0228382i | ||||
\(412\) | 3.10766 | + | 1.49657i | 0.153103 | + | 0.0737306i | ||||
\(413\) | −2.27195 | − | 2.84893i | −0.111795 | − | 0.140187i | ||||
\(414\) | −0.364260 | + | 1.59593i | −0.0179024 | + | 0.0784355i | ||||
\(415\) | 2.74213 | − | 12.0141i | 0.134606 | − | 0.589748i | ||||
\(416\) | −3.52676 | + | 4.42242i | −0.172914 | + | 0.216827i | ||||
\(417\) | −1.81590 | − | 7.95596i | −0.0889248 | − | 0.389605i | ||||
\(418\) | −2.08227 | −0.101847 | ||||||||
\(419\) | −6.86486 | − | 30.0769i | −0.335370 | − | 1.46935i | −0.808571 | − | 0.588399i | \(-0.799758\pi\) |
0.473200 | − | 0.880955i | \(-0.343099\pi\) | |||||||
\(420\) | 16.5156 | + | 7.95349i | 0.805878 | + | 0.388091i | ||||
\(421\) | 9.39489 | + | 4.52434i | 0.457879 | + | 0.220503i | 0.648582 | − | 0.761145i | \(-0.275362\pi\) |
−0.190703 | + | 0.981648i | \(0.561077\pi\) | |||||||
\(422\) | −0.677335 | − | 2.96760i | −0.0329721 | − | 0.144460i | ||||
\(423\) | 4.14451 | 0.201513 | ||||||||
\(424\) | 0.0674146 | + | 0.295363i | 0.00327394 | + | 0.0143441i | ||||
\(425\) | −0.901039 | + | 1.12987i | −0.0437068 | + | 0.0548066i | ||||
\(426\) | 0.255759 | − | 1.12055i | 0.0123916 | − | 0.0542910i | ||||
\(427\) | 5.59392 | − | 24.5086i | 0.270709 | − | 1.18605i | ||||
\(428\) | 3.20494 | + | 4.01886i | 0.154916 | + | 0.194259i | ||||
\(429\) | −11.3692 | − | 5.47512i | −0.548911 | − | 0.264341i | ||||
\(430\) | 3.58012 | − | 1.72409i | 0.172649 | − | 0.0831432i | ||||
\(431\) | 6.65691 | − | 8.34750i | 0.320652 | − | 0.402085i | −0.595215 | − | 0.803566i | \(-0.702933\pi\) |
0.915867 | + | 0.401482i | \(0.131505\pi\) | |||||||
\(432\) | −12.6999 | − | 15.9251i | −0.611022 | − | 0.766197i | ||||
\(433\) | 24.8145 | − | 11.9500i | 1.19251 | − | 0.574282i | 0.270978 | − | 0.962586i | \(-0.412653\pi\) |
0.921532 | + | 0.388303i | \(0.126939\pi\) | |||||||
\(434\) | 1.92866 | 0.0925788 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −18.0278 | −0.863374 | ||||||||
\(437\) | −15.1516 | + | 7.29663i | −0.724800 | + | 0.349045i | ||||
\(438\) | 0.0579398 | + | 0.0726543i | 0.00276847 | + | 0.00347155i | ||||
\(439\) | 16.1160 | − | 20.2088i | 0.769173 | − | 0.964512i | −0.230791 | − | 0.973003i | \(-0.574131\pi\) |
0.999964 | + | 0.00849123i | \(0.00270287\pi\) | |||||||
\(440\) | 6.90645 | − | 3.32597i | 0.329252 | − | 0.158559i | ||||
\(441\) | 2.44200 | + | 1.17601i | 0.116286 | + | 0.0560003i | ||||
\(442\) | 0.144659 | + | 0.181397i | 0.00688075 | + | 0.00862819i | ||||
\(443\) | 3.14077 | − | 13.7606i | 0.149222 | − | 0.653786i | −0.843880 | − | 0.536533i | \(-0.819734\pi\) |
0.993102 | − | 0.117254i | \(-0.0374091\pi\) | |||||||
\(444\) | 5.69159 | − | 24.9365i | 0.270111 | − | 1.18343i | ||||
\(445\) | 27.4255 | − | 34.3905i | 1.30009 | − | 1.63027i | ||||
\(446\) | −0.722535 | − | 3.16563i | −0.0342130 | − | 0.149897i | ||||
\(447\) | 19.1750 | 0.906948 | ||||||||
\(448\) | −4.75732 | − | 20.8432i | −0.224762 | − | 0.984748i | ||||
\(449\) | −19.9286 | − | 9.59709i | −0.940487 | − | 0.452915i | −0.100146 | − | 0.994973i | \(-0.531931\pi\) |
−0.840341 | + | 0.542058i | \(0.817645\pi\) | |||||||
\(450\) | −0.800821 | − | 0.385655i | −0.0377511 | − | 0.0181800i | ||||
\(451\) | −4.53783 | − | 19.8815i | −0.213678 | − | 0.936185i | ||||
\(452\) | −25.0458 | −1.17805 | ||||||||
\(453\) | 2.46287 | + | 10.7905i | 0.115716 | + | 0.506983i | ||||
\(454\) | −0.0110509 | + | 0.0138574i | −0.000518645 | + | 0.000650361i | ||||
\(455\) | −5.17483 | + | 22.6724i | −0.242600 | + | 1.06290i | ||||
\(456\) | −0.518093 | + | 2.26991i | −0.0242619 | + | 0.106299i | ||||
\(457\) | −6.08500 | − | 7.63035i | −0.284644 | − | 0.356933i | 0.618868 | − | 0.785495i | \(-0.287592\pi\) |
−0.903512 | + | 0.428562i | \(0.859020\pi\) | |||||||
\(458\) | 2.03388 | + | 0.979467i | 0.0950372 | + | 0.0457675i | ||||
\(459\) | −2.31545 | + | 1.11506i | −0.108076 | + | 0.0520467i | ||||
\(460\) | 19.1578 | − | 24.0232i | 0.893239 | − | 1.12009i | ||||
\(461\) | 12.5614 | + | 15.7515i | 0.585043 | + | 0.733621i | 0.982964 | − | 0.183799i | \(-0.0588395\pi\) |
−0.397921 | + | 0.917420i | \(0.630268\pi\) | |||||||
\(462\) | −2.02375 | + | 0.974589i | −0.0941536 | + | 0.0453420i | ||||
\(463\) | 15.7776 | 0.733249 | 0.366624 | − | 0.930369i | \(-0.380513\pi\) | ||||
0.366624 | + | 0.930369i | \(0.380513\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −12.2530 | −0.568220 | ||||||||
\(466\) | −0.337037 | + | 0.162308i | −0.0156129 | + | 0.00751879i | ||||
\(467\) | 24.4451 | + | 30.6532i | 1.13119 | + | 1.41846i | 0.894609 | + | 0.446849i | \(0.147454\pi\) |
0.236577 | + | 0.971613i | \(0.423975\pi\) | |||||||
\(468\) | 5.99585 | − | 7.51855i | 0.277158 | − | 0.347545i | ||||
\(469\) | −2.49107 | + | 1.19964i | −0.115027 | + | 0.0553941i | ||||
\(470\) | 1.04008 | + | 0.500877i | 0.0479754 | + | 0.0231037i | ||||
\(471\) | −1.85109 | − | 2.32119i | −0.0852935 | − | 0.106955i | ||||
\(472\) | −0.188175 | + | 0.824447i | −0.00866144 | + | 0.0379482i | ||||
\(473\) | 7.30155 | − | 31.9902i | 0.335725 | − | 1.47091i | ||||
\(474\) | 0.221926 | − | 0.278286i | 0.0101934 | − | 0.0127821i | ||||
\(475\) | −2.03191 | − | 8.90239i | −0.0932305 | − | 0.408470i | ||||
\(476\) | −2.78316 | −0.127566 | ||||||||
\(477\) | −0.172339 | − | 0.755067i | −0.00789087 | − | 0.0345722i | ||||
\(478\) | 2.35844 | + | 1.13576i | 0.107872 | + | 0.0519487i | ||||
\(479\) | 38.0820 | + | 18.3393i | 1.74001 | + | 0.837945i | 0.982775 | + | 0.184805i | \(0.0591652\pi\) |
0.757236 | + | 0.653141i | \(0.226549\pi\) | |||||||
\(480\) | −1.42342 | − | 6.23640i | −0.0649698 | − | 0.284651i | ||||
\(481\) | 32.4492 | 1.47955 | ||||||||
\(482\) | −0.517329 | − | 2.26657i | −0.0235637 | − | 0.103239i | ||||
\(483\) | −11.3107 | + | 14.1832i | −0.514655 | + | 0.645357i | ||||
\(484\) | 2.16700 | − | 9.49426i | 0.0985002 | − | 0.431557i | ||||
\(485\) | −1.52045 | + | 6.66151i | −0.0690399 | + | 0.302484i | ||||
\(486\) | −1.60981 | − | 2.01864i | −0.0730225 | − | 0.0915674i | ||||
\(487\) | 12.2269 | + | 5.88815i | 0.554052 | + | 0.266817i | 0.689891 | − | 0.723914i | \(-0.257659\pi\) |
−0.135839 | + | 0.990731i | \(0.543373\pi\) | |||||||
\(488\) | −5.25625 | + | 2.53128i | −0.237939 | + | 0.114586i | ||||
\(489\) | 6.85374 | − | 8.59432i | 0.309937 | − | 0.388649i | ||||
\(490\) | 0.470706 | + | 0.590247i | 0.0212643 | + | 0.0266646i | ||||
\(491\) | 3.68233 | − | 1.77332i | 0.166181 | − | 0.0800287i | −0.348944 | − | 0.937144i | \(-0.613460\pi\) |
0.515125 | + | 0.857115i | \(0.327745\pi\) | |||||||
\(492\) | −11.3172 | −0.510217 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −1.46601 | −0.0659590 | ||||||||
\(495\) | −17.6557 | + | 8.50254i | −0.793565 | + | 0.382161i | ||||
\(496\) | 9.19325 | + | 11.5280i | 0.412789 | + | 0.517621i | ||||
\(497\) | −10.9056 | + | 13.6752i | −0.489184 | + | 0.613417i | ||||
\(498\) | 0.755008 | − | 0.363593i | 0.0338327 | − | 0.0162930i | ||||
\(499\) | −11.2754 | − | 5.42993i | −0.504755 | − | 0.243077i | 0.164136 | − | 0.986438i | \(-0.447516\pi\) |
−0.668891 | + | 0.743361i | \(0.733231\pi\) | |||||||
\(500\) | −6.96844 | − | 8.73815i | −0.311638 | − | 0.390782i | ||||
\(501\) | −5.90790 | + | 25.8842i | −0.263945 | + | 1.15642i | ||||
\(502\) | −0.781495 | + | 3.42395i | −0.0348798 | + | 0.152818i | ||||
\(503\) | −16.0447 | + | 20.1194i | −0.715398 | + | 0.897080i | −0.998068 | − | 0.0621370i | \(-0.980208\pi\) |
0.282670 | + | 0.959217i | \(0.408780\pi\) | |||||||
\(504\) | −0.767467 | − | 3.36249i | −0.0341857 | − | 0.149777i | ||||
\(505\) | −38.1549 | −1.69787 | ||||||||
\(506\) | 0.837822 | + | 3.67074i | 0.0372457 | + | 0.163184i | ||||
\(507\) | 5.16431 | + | 2.48700i | 0.229355 | + | 0.110452i | ||||
\(508\) | −2.03285 | − | 0.978970i | −0.0901932 | − | 0.0434348i | ||||
\(509\) | −3.53552 | − | 15.4901i | −0.156709 | − | 0.686588i | −0.990842 | − | 0.135024i | \(-0.956889\pi\) |
0.834133 | − | 0.551563i | \(-0.185968\pi\) | |||||||
\(510\) | −0.262381 | −0.0116184 | ||||||||
\(511\) | −0.314687 | − | 1.37874i | −0.0139210 | − | 0.0609917i | ||||
\(512\) | −8.03853 | + | 10.0800i | −0.355256 | + | 0.445477i | ||||
\(513\) | 3.61341 | − | 15.8314i | 0.159536 | − | 0.698972i | ||||
\(514\) | 0.753864 | − | 3.30290i | 0.0332515 | − | 0.145684i | ||||
\(515\) | −3.08537 | − | 3.86893i | −0.135958 | − | 0.170486i | ||||
\(516\) | −16.4064 | − | 7.90092i | −0.722253 | − | 0.347818i | ||||
\(517\) | 8.58862 | − | 4.13606i | 0.377727 | − | 0.181904i | ||||
\(518\) | 3.60131 | − | 4.51590i | 0.158232 | − | 0.198417i | ||||
\(519\) | 3.66289 | + | 4.59313i | 0.160783 | + | 0.201616i | ||||
\(520\) | 4.86246 | − | 2.34164i | 0.213233 | − | 0.102688i | ||||
\(521\) | 22.1399 | 0.969965 | 0.484982 | − | 0.874524i | \(-0.338826\pi\) | ||||
0.484982 | + | 0.874524i | \(0.338826\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 31.1728 | 1.36309 | 0.681546 | − | 0.731775i | \(-0.261308\pi\) | ||||
0.681546 | + | 0.731775i | \(0.261308\pi\) | |||||||
\(524\) | 31.0527 | − | 14.9542i | 1.35654 | − | 0.653276i | ||||
\(525\) | −6.14151 | − | 7.70121i | −0.268037 | − | 0.336108i | ||||
\(526\) | 1.58531 | − | 1.98792i | 0.0691228 | − | 0.0866772i | ||||
\(527\) | 1.67612 | − | 0.807179i | 0.0730131 | − | 0.0351613i | ||||
\(528\) | −15.4718 | − | 7.45083i | −0.673324 | − | 0.324256i | ||||
\(529\) | 4.61906 | + | 5.79212i | 0.200829 | + | 0.251831i | ||||
\(530\) | 0.0480030 | − | 0.210315i | 0.00208512 | − | 0.00913550i | ||||
\(531\) | 0.481051 | − | 2.10762i | 0.0208758 | − | 0.0914630i | ||||
\(532\) | 10.9644 | − | 13.7490i | 0.475369 | − | 0.596094i | ||||
\(533\) | −3.19484 | − | 13.9975i | −0.138384 | − | 0.606300i | ||||
\(534\) | 2.99123 | 0.129443 | ||||||||
\(535\) | −1.64103 | − | 7.18981i | −0.0709478 | − | 0.310843i | ||||
\(536\) | 0.578106 | + | 0.278401i | 0.0249704 | + | 0.0120251i | ||||
\(537\) | −11.4825 | − | 5.52970i | −0.495508 | − | 0.238624i | ||||
\(538\) | −0.0592439 | − | 0.259564i | −0.00255419 | − | 0.0111906i | ||||
\(539\) | 6.23415 | 0.268524 | ||||||||
\(540\) | 6.60214 | + | 28.9259i | 0.284111 | + | 1.24477i | ||||
\(541\) | −0.446058 | + | 0.559338i | −0.0191775 | + | 0.0240478i | −0.791328 | − | 0.611392i | \(-0.790610\pi\) |
0.772150 | + | 0.635440i | \(0.219181\pi\) | |||||||
\(542\) | −0.462397 | + | 2.02589i | −0.0198617 | + | 0.0870196i | ||||
\(543\) | −2.58714 | + | 11.3350i | −0.111025 | + | 0.486431i | ||||
\(544\) | 0.605542 | + | 0.759325i | 0.0259624 | + | 0.0325558i | ||||
\(545\) | 23.3027 | + | 11.2220i | 0.998180 | + | 0.480698i | ||||
\(546\) | −1.42482 | + | 0.686155i | −0.0609765 | + | 0.0293647i | ||||
\(547\) | −25.7613 | + | 32.3036i | −1.10147 | + | 1.38120i | −0.184225 | + | 0.982884i | \(0.558977\pi\) |
−0.917247 | + | 0.398318i | \(0.869594\pi\) | |||||||
\(548\) | 1.16622 | + | 1.46239i | 0.0498184 | + | 0.0624703i | ||||
\(549\) | 13.4371 | − | 6.47098i | 0.573483 | − | 0.276175i | ||||
\(550\) | −2.04440 | −0.0871736 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 4.21000 | 0.179189 | ||||||||
\(553\) | −4.88033 | + | 2.35024i | −0.207533 | + | 0.0999425i | ||||
\(554\) | 1.28403 | + | 1.61013i | 0.0545534 | + | 0.0684078i | ||||
\(555\) | −22.8795 | + | 28.6900i | −0.971182 | + | 1.21782i | ||||
\(556\) | 12.8876 | − | 6.20633i | 0.546555 | − | 0.263207i | ||||
\(557\) | 19.1398 | + | 9.21726i | 0.810981 | + | 0.390548i | 0.792948 | − | 0.609290i | \(-0.208545\pi\) |
0.0180332 | + | 0.999837i | \(0.494260\pi\) | |||||||
\(558\) | 0.713406 | + | 0.894583i | 0.0302009 | + | 0.0378707i | ||||
\(559\) | 5.14062 | − | 22.5225i | 0.217425 | − | 0.952601i | ||||
\(560\) | −7.04217 | + | 30.8538i | −0.297586 | + | 1.30381i | ||||
\(561\) | −1.35088 | + | 1.69395i | −0.0570343 | + | 0.0715187i | ||||
\(562\) | 0.520392 | + | 2.27998i | 0.0219514 | + | 0.0961753i | ||||
\(563\) | 14.3265 | 0.603790 | 0.301895 | − | 0.953341i | \(-0.402381\pi\) | ||||
0.301895 | + | 0.953341i | \(0.402381\pi\) | |||||||
\(564\) | −1.17719 | − | 5.15759i | −0.0495684 | − | 0.217174i | ||||
\(565\) | 32.3742 | + | 15.5906i | 1.36199 | + | 0.655901i | ||||
\(566\) | −4.00485 | − | 1.92863i | −0.168336 | − | 0.0810664i | ||||
\(567\) | −0.507190 | − | 2.22215i | −0.0213000 | − | 0.0933214i | ||||
\(568\) | 4.05921 | 0.170321 | ||||||||
\(569\) | −3.82222 | − | 16.7463i | −0.160236 | − | 0.702039i | −0.989662 | − | 0.143422i | \(-0.954189\pi\) |
0.829426 | − | 0.558617i | \(-0.188668\pi\) | |||||||
\(570\) | 1.03367 | − | 1.29618i | 0.0432956 | − | 0.0542909i | ||||
\(571\) | −0.918962 | + | 4.02624i | −0.0384574 | + | 0.168493i | −0.990510 | − | 0.137442i | \(-0.956112\pi\) |
0.952052 | + | 0.305935i | \(0.0989690\pi\) | |||||||
\(572\) | 4.92190 | − | 21.5642i | 0.205795 | − | 0.901647i | ||||
\(573\) | −4.42066 | − | 5.54333i | −0.184676 | − | 0.231576i | ||||
\(574\) | −2.30259 | − | 1.10887i | −0.0961080 | − | 0.0462832i | ||||
\(575\) | −14.8761 | + | 7.16394i | −0.620375 | + | 0.298757i | ||||
\(576\) | 7.90810 | − | 9.91644i | 0.329504 | − | 0.413185i | ||||
\(577\) | −28.4272 | − | 35.6466i | −1.18344 | − | 1.48399i | −0.838104 | − | 0.545510i | \(-0.816336\pi\) |
−0.345338 | − | 0.938479i | \(-0.612236\pi\) | |||||||
\(578\) | −2.58337 | + | 1.24409i | −0.107454 | + | 0.0517471i | ||||
\(579\) | −4.61223 | −0.191678 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.7527 | −0.529071 | ||||||||
\(582\) | −0.418634 | + | 0.201603i | −0.0173529 | + | 0.00835673i | ||||
\(583\) | −1.11067 | − | 1.39273i | −0.0459991 | − | 0.0576810i | ||||
\(584\) | −0.204625 | + | 0.256592i | −0.00846745 | + | 0.0106178i | ||||
\(585\) | −12.4304 | + | 5.98618i | −0.513935 | + | 0.247498i | ||||
\(586\) | 0.882277 | + | 0.424882i | 0.0364465 | + | 0.0175517i | ||||
\(587\) | −12.0226 | − | 15.0759i | −0.496227 | − | 0.622249i | 0.469147 | − | 0.883120i | \(-0.344562\pi\) |
−0.965374 | + | 0.260871i | \(0.915990\pi\) | |||||||
\(588\) | 0.769853 | − | 3.37295i | 0.0317482 | − | 0.139098i | ||||
\(589\) | −2.61569 | + | 11.4601i | −0.107778 | + | 0.472205i | ||||
\(590\) | 0.375434 | − | 0.470780i | 0.0154564 | − | 0.0193817i | ||||
\(591\) | 5.08844 | + | 22.2939i | 0.209311 | + | 0.917050i | ||||
\(592\) | 44.1585 | 1.81490 | ||||||||
\(593\) | 7.52102 | + | 32.9517i | 0.308851 | + | 1.35317i | 0.856366 | + | 0.516370i | \(0.172717\pi\) |
−0.547514 | + | 0.836796i | \(0.684426\pi\) | |||||||
\(594\) | −3.27558 | − | 1.57743i | −0.134399 | − | 0.0647229i | ||||
\(595\) | 3.59751 | + | 1.73247i | 0.147484 | + | 0.0710244i | ||||
\(596\) | 7.47909 | + | 32.7680i | 0.306355 | + | 1.34223i | ||||
\(597\) | −2.21622 | −0.0907036 | ||||||||
\(598\) | 0.589865 | + | 2.58437i | 0.0241214 | + | 0.105683i | ||||
\(599\) | 12.0784 | − | 15.1458i | 0.493509 | − | 0.618841i | −0.471242 | − | 0.882004i | \(-0.656194\pi\) |
0.964751 | + | 0.263163i | \(0.0847657\pi\) | |||||||
\(600\) | −0.508672 | + | 2.22864i | −0.0207664 | + | 0.0909837i | ||||
\(601\) | −3.79958 | + | 16.6470i | −0.154988 | + | 0.679047i | 0.836403 | + | 0.548114i | \(0.184654\pi\) |
−0.991391 | + | 0.130932i | \(0.958203\pi\) | |||||||
\(602\) | −2.56390 | − | 3.21503i | −0.104497 | − | 0.131035i | ||||
\(603\) | −1.47788 | − | 0.711707i | −0.0601837 | − | 0.0289830i | ||||
\(604\) | −17.4792 | + | 8.41754i | −0.711218 | + | 0.342505i | ||||
\(605\) | −8.71110 | + | 10.9234i | −0.354157 | + | 0.444098i | ||||
\(606\) | −1.61772 | − | 2.02856i | −0.0657155 | − | 0.0824046i | ||||
\(607\) | −37.2517 | + | 17.9395i | −1.51200 | + | 0.728140i | −0.992025 | − | 0.126042i | \(-0.959772\pi\) |
−0.519973 | + | 0.854182i | \(0.674058\pi\) | |||||||
\(608\) | −6.13669 | −0.248876 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.15414 | 0.168196 | ||||||||
\(611\) | 6.04678 | − | 2.91198i | 0.244627 | − | 0.117806i | ||||
\(612\) | −1.02948 | − | 1.29093i | −0.0416143 | − | 0.0521827i | ||||
\(613\) | −6.00843 | + | 7.53434i | −0.242678 | + | 0.304309i | −0.888222 | − | 0.459414i | \(-0.848059\pi\) |
0.645544 | + | 0.763723i | \(0.276631\pi\) | |||||||
\(614\) | −1.96597 | + | 0.946759i | −0.0793399 | + | 0.0382081i | ||||
\(615\) | 14.6286 | + | 7.04476i | 0.589882 | + | 0.284072i | ||||
\(616\) | −4.94606 | − | 6.20216i | −0.199282 | − | 0.249892i | ||||
\(617\) | −2.77673 | + | 12.1657i | −0.111787 | + | 0.489771i | 0.887778 | + | 0.460272i | \(0.152248\pi\) |
−0.999565 | + | 0.0294988i | \(0.990609\pi\) | |||||||
\(618\) | 0.0748812 | − | 0.328076i | 0.00301217 | − | 0.0131972i | ||||
\(619\) | −19.6007 | + | 24.5785i | −0.787818 | + | 0.987892i | 0.212125 | + | 0.977242i | \(0.431961\pi\) |
−0.999943 | + | 0.0106499i | \(0.996610\pi\) | |||||||
\(620\) | −4.77920 | − | 20.9390i | −0.191937 | − | 0.840932i | ||||
\(621\) | −29.3623 | −1.17827 | ||||||||
\(622\) | −0.476253 | − | 2.08660i | −0.0190960 | − | 0.0836651i | ||||
\(623\) | −41.0128 | − | 19.7507i | −1.64314 | − | 0.791296i | ||||
\(624\) | −10.8929 | − | 5.24572i | −0.436063 | − | 0.209997i | ||||
\(625\) | 6.89943 | + | 30.2284i | 0.275977 | + | 1.20914i | ||||
\(626\) | −4.42207 | −0.176741 | ||||||||
\(627\) | −3.04634 | − | 13.3469i | −0.121659 | − | 0.533024i | ||||
\(628\) | 3.24465 | − | 4.06866i | 0.129476 | − | 0.162357i | ||||
\(629\) | 1.23977 | − | 5.43180i | 0.0494329 | − | 0.216580i | ||||
\(630\) | −0.546480 | + | 2.39429i | −0.0217723 | + | 0.0953907i | ||||
\(631\) | −2.93725 | − | 3.68320i | −0.116930 | − | 0.146626i | 0.719922 | − | 0.694055i | \(-0.244178\pi\) |
−0.836852 | + | 0.547430i | \(0.815606\pi\) | |||||||
\(632\) | 1.13258 | + | 0.545423i | 0.0450517 | + | 0.0216958i | ||||
\(633\) | 18.0307 | − | 8.68315i | 0.716658 | − | 0.345124i | ||||
\(634\) | −2.89021 | + | 3.62421i | −0.114785 | + | 0.143936i | ||||
\(635\) | 2.01827 | + | 2.53084i | 0.0800928 | + | 0.100433i | ||||
\(636\) | −0.890685 | + | 0.428931i | −0.0353179 | + | 0.0170082i | ||||
\(637\) | 4.38912 | 0.173903 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −10.3770 | −0.410508 | ||||||||
\(640\) | 13.4350 | − | 6.46997i | 0.531066 | − | 0.255748i | ||||
\(641\) | −18.1970 | − | 22.8183i | −0.718738 | − | 0.901268i | 0.279528 | − | 0.960137i | \(-0.409822\pi\) |
−0.998266 | + | 0.0588691i | \(0.981251\pi\) | |||||||
\(642\) | 0.312679 | − | 0.392087i | 0.0123404 | − | 0.0154744i | ||||
\(643\) | −11.9567 | + | 5.75803i | −0.471526 | + | 0.227075i | −0.654528 | − | 0.756038i | \(-0.727133\pi\) |
0.183003 | + | 0.983112i | \(0.441418\pi\) | |||||||
\(644\) | −28.6491 | − | 13.7967i | −1.12893 | − | 0.543666i | ||||
\(645\) | 16.2888 | + | 20.4255i | 0.641370 | + | 0.804252i | ||||
\(646\) | −0.0560113 | + | 0.245402i | −0.00220374 | + | 0.00965519i | ||||
\(647\) | −7.64780 | + | 33.5072i | −0.300666 | + | 1.31730i | 0.568459 | + | 0.822712i | \(0.307540\pi\) |
−0.869125 | + | 0.494592i | \(0.835317\pi\) | |||||||
\(648\) | −0.329800 | + | 0.413556i | −0.0129558 | + | 0.0162460i | ||||
\(649\) | −1.10645 | − | 4.84767i | −0.0434320 | − | 0.190288i | ||||
\(650\) | −1.43935 | −0.0564560 | ||||||||
\(651\) | 2.82162 | + | 12.3623i | 0.110588 | + | 0.484518i | ||||
\(652\) | 17.3600 | + | 8.36013i | 0.679870 | + | 0.327408i | ||||
\(653\) | 26.0069 | + | 12.5243i | 1.01773 | + | 0.490112i | 0.866918 | − | 0.498451i | \(-0.166098\pi\) |
0.150810 | + | 0.988563i | \(0.451812\pi\) | |||||||
\(654\) | 0.391374 | + | 1.71472i | 0.0153039 | + | 0.0670509i | ||||
\(655\) | −49.4475 | −1.93207 | ||||||||
\(656\) | −4.34770 | − | 19.0485i | −0.169749 | − | 0.743721i | ||||
\(657\) | 0.523105 | − | 0.655953i | 0.0204083 | − | 0.0255912i | ||||
\(658\) | 0.265835 | − | 1.16470i | 0.0103633 | − | 0.0454048i | ||||
\(659\) | −7.48039 | + | 32.7737i | −0.291395 | + | 1.27668i | 0.591191 | + | 0.806532i | \(0.298658\pi\) |
−0.882585 | + | 0.470152i | \(0.844199\pi\) | |||||||
\(660\) | 15.5957 | + | 19.5564i | 0.607063 | + | 0.761233i | ||||
\(661\) | 16.8358 | + | 8.10769i | 0.654836 | + | 0.315353i | 0.731638 | − | 0.681694i | \(-0.238756\pi\) |
−0.0768012 | + | 0.997046i | \(0.524471\pi\) | |||||||
\(662\) | 1.69161 | − | 0.814636i | 0.0657462 | − | 0.0316617i | ||||
\(663\) | −0.951083 | + | 1.19262i | −0.0369370 | + | 0.0463175i | ||||
\(664\) | 1.84524 | + | 2.31386i | 0.0716092 | + | 0.0897951i | ||||
\(665\) | −22.7312 | + | 10.9468i | −0.881477 | + | 0.424497i | ||||
\(666\) | 3.42675 | 0.132784 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −46.5375 | −1.80059 | ||||||||
\(669\) | 19.2340 | − | 9.26260i | 0.743629 | − | 0.358113i | ||||
\(670\) | −0.284867 | − | 0.357212i | −0.0110054 | − | 0.0138003i | ||||
\(671\) | 21.3878 | − | 26.8195i | 0.825668 | − | 1.03536i | ||||
\(672\) | −5.96425 | + | 2.87223i | −0.230076 | + | 0.110799i | ||||
\(673\) | 28.7262 | + | 13.8338i | 1.10731 | + | 0.533254i | 0.895951 | − | 0.444153i | \(-0.146495\pi\) |
0.211363 | + | 0.977408i | \(0.432210\pi\) | |||||||
\(674\) | 1.83308 | + | 2.29861i | 0.0706076 | + | 0.0885392i | ||||
\(675\) | 3.54770 | − | 15.5435i | 0.136551 | − | 0.598269i | ||||
\(676\) | −2.23571 | + | 9.79527i | −0.0859887 | + | 0.376741i | ||||
\(677\) | −23.5474 | + | 29.5275i | −0.905000 | + | 1.13483i | 0.0853646 | + | 0.996350i | \(0.472794\pi\) |
−0.990365 | + | 0.138484i | \(0.955777\pi\) | |||||||
\(678\) | 0.543731 | + | 2.38224i | 0.0208819 | + | 0.0914894i | ||||
\(679\) | 7.07107 | 0.271363 | ||||||||
\(680\) | −0.206198 | − | 0.903412i | −0.00790733 | − | 0.0346443i | ||||
\(681\) | −0.104991 | − | 0.0505608i | −0.00402325 | − | 0.00193749i | ||||
\(682\) | 2.37114 | + | 1.14188i | 0.0907958 | + | 0.0437249i | ||||
\(683\) | 3.52930 | + | 15.4629i | 0.135045 | + | 0.591671i | 0.996482 | + | 0.0838066i | \(0.0267078\pi\) |
−0.861437 | + | 0.507864i | \(0.830435\pi\) | |||||||
\(684\) | 10.4330 | 0.398915 | ||||||||
\(685\) | −0.597141 | − | 2.61624i | −0.0228156 | − | 0.0999615i | ||||
\(686\) | −1.69672 | + | 2.12762i | −0.0647809 | + | 0.0812327i | ||||
\(687\) | −3.30262 | + | 14.4697i | −0.126003 | + | 0.552055i | ||||
\(688\) | 6.99562 | − | 30.6498i | 0.266706 | − | 1.16851i | ||||
\(689\) | −0.781959 | − | 0.980546i | −0.0297903 | − | 0.0373558i | ||||
\(690\) | −2.70088 | − | 1.30068i | −0.102821 | − | 0.0495159i | ||||
\(691\) | 26.4855 | − | 12.7548i | 1.00756 | − | 0.485214i | 0.144061 | − | 0.989569i | \(-0.453984\pi\) |
0.863496 | + | 0.504355i | \(0.168270\pi\) | |||||||
\(692\) | −6.42045 | + | 8.05099i | −0.244069 | + | 0.306053i | ||||
\(693\) | 12.6441 | + | 15.8552i | 0.480311 | + | 0.602291i | ||||
\(694\) | 4.82202 | − | 2.32216i | 0.183042 | − | 0.0881482i | ||||
\(695\) | −20.5218 | −0.778438 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.46516 | −0.0933748 | ||||||||
\(698\) | −2.59453 | + | 1.24946i | −0.0982045 | + | 0.0472928i | ||||
\(699\) | −1.53344 | − | 1.92288i | −0.0580002 | − | 0.0727299i | ||||
\(700\) | 10.7651 | − | 13.4990i | 0.406881 | − | 0.510213i | ||||
\(701\) | 9.93285 | − | 4.78341i | 0.375159 | − | 0.180667i | −0.236797 | − | 0.971559i | \(-0.576098\pi\) |
0.611955 | + | 0.790892i | \(0.290383\pi\) | |||||||
\(702\) | −2.30615 | − | 1.11059i | −0.0870402 | − | 0.0419164i | ||||
\(703\) | 21.9493 | + | 27.5235i | 0.827832 | + | 1.03807i | ||||
\(704\) | 6.49164 | − | 28.4417i | 0.244663 | − | 1.07194i | ||||
\(705\) | −1.68888 | + | 7.39948i | −0.0636070 | + | 0.278681i | ||||
\(706\) | 2.84384 | − | 3.56606i | 0.107029 | − | 0.134210i | ||||
\(707\) | 8.78630 | + | 38.4953i | 0.330443 | + | 1.44777i | ||||
\(708\) | −2.75944 | −0.103706 | ||||||||
\(709\) | 7.44065 | + | 32.5996i | 0.279439 | + | 1.22430i | 0.898505 | + | 0.438964i | \(0.144654\pi\) |
−0.619065 | + | 0.785340i | \(0.712488\pi\) | |||||||
\(710\) | −2.60415 | − | 1.25409i | −0.0977320 | − | 0.0470653i | ||||
\(711\) | −2.89534 | − | 1.39432i | −0.108584 | − | 0.0522912i | ||||
\(712\) | 2.35072 | + | 10.2992i | 0.0880971 | + | 0.385979i | ||||
\(713\) | 21.2550 | 0.796005 | ||||||||
\(714\) | 0.0604209 | + | 0.264721i | 0.00226120 | + | 0.00990695i | ||||
\(715\) | −19.7855 | + | 24.8102i | −0.739934 | + | 0.927848i | ||||
\(716\) | 4.97096 | − | 21.7792i | 0.185773 | − | 0.813927i | ||||
\(717\) | −3.82963 | + | 16.7787i | −0.143020 | + | 0.626613i | ||||
\(718\) | 1.28952 | + | 1.61701i | 0.0481246 | + | 0.0603464i | ||||
\(719\) | −44.2582 | − | 21.3136i | −1.65055 | − | 0.794864i | −0.999353 | − | 0.0359569i | \(-0.988552\pi\) |
−0.651199 | − | 0.758907i | \(-0.725734\pi\) | |||||||
\(720\) | −16.9160 | + | 8.14630i | −0.630421 | + | 0.303595i | ||||
\(721\) | −3.19295 | + | 4.00383i | −0.118912 | + | 0.149111i | ||||
\(722\) | 1.03419 | + | 1.29683i | 0.0384886 | + | 0.0482632i | ||||
\(723\) | 13.7714 | − | 6.63195i | 0.512163 | − | 0.246645i | ||||
\(724\) | −20.3793 | −0.757392 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.950096 | −0.0352614 | ||||||||
\(727\) | −31.8392 | + | 15.3329i | −1.18085 | + | 0.568667i | −0.918159 | − | 0.396213i | \(-0.870324\pi\) |
−0.262691 | + | 0.964880i | \(0.584610\pi\) | |||||||
\(728\) | −3.48225 | − | 4.36660i | −0.129061 | − | 0.161837i | ||||
\(729\) | 12.0410 | − | 15.0989i | 0.445962 | − | 0.559219i | ||||
\(730\) | 0.210549 | − | 0.101395i | 0.00779278 | − | 0.00375281i | ||||
\(731\) | −3.57373 | − | 1.72102i | −0.132179 | − | 0.0636542i | ||||
\(732\) | −11.8694 | − | 14.8837i | −0.438704 | − | 0.550117i | ||||
\(733\) | 3.76896 | − | 16.5129i | 0.139210 | − | 0.609918i | −0.856400 | − | 0.516314i | \(-0.827304\pi\) |
0.995609 | − | 0.0936046i | \(-0.0298389\pi\) | |||||||
\(734\) | 1.29253 | − | 5.66292i | 0.0477080 | − | 0.209022i | ||||
\(735\) | −3.09472 | + | 3.88066i | −0.114150 | + | 0.143140i | ||||
\(736\) | 2.46916 | + | 10.8181i | 0.0910146 | + | 0.398761i | ||||
\(737\) | −3.77284 | −0.138974 | ||||||||
\(738\) | −0.337387 | − | 1.47819i | −0.0124194 | − | 0.0544128i | ||||
\(739\) | −30.7656 | − | 14.8159i | −1.13173 | − | 0.545012i | −0.228233 | − | 0.973607i | \(-0.573295\pi\) |
−0.903497 | + | 0.428594i | \(0.859009\pi\) | |||||||
\(740\) | −57.9520 | − | 27.9082i | −2.13036 | − | 1.02593i | ||||
\(741\) | −2.14476 | − | 9.39682i | −0.0787899 | − | 0.345201i | ||||
\(742\) | −0.223245 | −0.00819559 | ||||||||
\(743\) | 6.13024 | + | 26.8583i | 0.224897 | + | 0.985337i | 0.953734 | + | 0.300650i | \(0.0972037\pi\) |
−0.728838 | + | 0.684686i | \(0.759939\pi\) | |||||||
\(744\) | 1.83475 | − | 2.30071i | 0.0672654 | − | 0.0843481i | ||||
\(745\) | 10.7301 | − | 47.0116i | 0.393120 | − | 1.72237i | ||||
\(746\) | 0.235732 | − | 1.03281i | 0.00863076 | − | 0.0378138i | ||||
\(747\) | −4.71719 | − | 5.91516i | −0.172593 | − | 0.216424i | ||||
\(748\) | −3.42168 | − | 1.64779i | −0.125109 | − | 0.0602493i | ||||
\(749\) | −6.87606 | + | 3.31133i | −0.251246 | + | 0.120994i | ||||
\(750\) | −0.679853 | + | 0.852508i | −0.0248247 | + | 0.0311292i | ||||
\(751\) | 3.59519 | + | 4.50823i | 0.131190 | + | 0.164508i | 0.843088 | − | 0.537776i | \(-0.180735\pi\) |
−0.711897 | + | 0.702284i | \(0.752164\pi\) | |||||||
\(752\) | 8.22877 | − | 3.96277i | 0.300072 | − | 0.144507i | ||||
\(753\) | −23.0901 | −0.841452 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 27.8334 | 1.01296 | ||||||||
\(756\) | 27.6636 | − | 13.3221i | 1.00611 | − | 0.484519i | ||||
\(757\) | −2.83380 | − | 3.55347i | −0.102996 | − | 0.129153i | 0.727662 | − | 0.685936i | \(-0.240607\pi\) |
−0.830658 | + | 0.556783i | \(0.812036\pi\) | |||||||
\(758\) | −2.78233 | + | 3.48893i | −0.101059 | + | 0.126724i | ||||
\(759\) | −22.3029 | + | 10.7405i | −0.809546 | + | 0.389857i | ||||
\(760\) | 5.27525 | + | 2.54043i | 0.191353 | + | 0.0921509i | ||||
\(761\) | 22.6200 | + | 28.3646i | 0.819974 | + | 1.02822i | 0.999015 | + | 0.0443736i | \(0.0141292\pi\) |
−0.179041 | + | 0.983842i | \(0.557299\pi\) | |||||||
\(762\) | −0.0489830 | + | 0.214609i | −0.00177447 | + | 0.00777445i | ||||
\(763\) | 5.95597 | − | 26.0948i | 0.215621 | − | 0.944696i | ||||
\(764\) | 7.74869 | − | 9.71655i | 0.280338 | − | 0.351532i | ||||
\(765\) | 0.527126 | + | 2.30949i | 0.0190583 | + | 0.0834998i | ||||
\(766\) | −3.57064 | −0.129012 | ||||||||
\(767\) | −0.778991 | − | 3.41298i | −0.0281277 | − | 0.123236i | ||||
\(768\) | −13.8894 | − | 6.68879i | −0.501191 | − | 0.241361i | ||||
\(769\) | −30.6375 | − | 14.7542i | −1.10482 | − | 0.532052i | −0.209647 | − | 0.977777i | \(-0.567232\pi\) |
−0.895170 | + | 0.445725i | \(0.852946\pi\) | |||||||
\(770\) | 1.25694 | + | 5.50702i | 0.0452970 | + | 0.198459i | ||||
\(771\) | 22.2738 | 0.802170 | ||||||||
\(772\) | −1.79897 | − | 7.88178i | −0.0647462 | − | 0.283672i | ||||
\(773\) | 4.39238 | − | 5.50787i | 0.157983 | − | 0.198104i | −0.696540 | − | 0.717518i | \(-0.745278\pi\) |
0.854523 | + | 0.519414i | \(0.173850\pi\) | |||||||
\(774\) | 0.542868 | − | 2.37846i | 0.0195130 | − | 0.0854920i | ||||
\(775\) | −2.56813 | + | 11.2517i | −0.0922499 | + | 0.404173i | ||||
\(776\) | −1.02314 | − | 1.28298i | −0.0367286 | − | 0.0460562i | ||||
\(777\) | 34.2146 | + | 16.4769i | 1.22744 | + | 0.591106i | ||||
\(778\) | −2.42011 | + | 1.16547i | −0.0867653 | + | 0.0417840i | ||||
\(779\) | 9.71169 | − | 12.1781i | 0.347958 | − | 0.436325i | ||||
\(780\) | 10.9801 | + | 13.7686i | 0.393151 | + | 0.492995i | ||||
\(781\) | −21.5042 | + | 10.3559i | −0.769479 | + | 0.370562i | ||||
\(782\) | 0.455145 | 0.0162759 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 5.97294 | 0.213319 | ||||||||
\(785\) | −6.72672 | + | 3.23942i | −0.240087 | + | 0.115620i | ||||
\(786\) | −2.09651 | − | 2.62894i | −0.0747801 | − | 0.0937713i | ||||
\(787\) | −30.6610 | + | 38.4477i | −1.09295 | + | 1.37051i | −0.170062 | + | 0.985433i | \(0.554397\pi\) |
−0.922884 | + | 0.385077i | \(0.874175\pi\) | |||||||
\(788\) | −36.1131 | + | 17.3912i | −1.28648 | + | 0.619535i | ||||
\(789\) | 15.0614 | + | 7.25320i | 0.536201 | + | 0.258221i | ||||
\(790\) | −0.558090 | − | 0.699823i | −0.0198559 | − | 0.0248986i | ||||
\(791\) | 8.27455 | − | 36.2532i | 0.294209 | − | 1.28901i | ||||
\(792\) | 1.04725 | − | 4.58832i | 0.0372125 | − | 0.163039i | ||||
\(793\) | 15.0580 | − | 18.8821i | 0.534726 | − | 0.670525i | ||||
\(794\) | 0.439973 | + | 1.92765i | 0.0156141 | + | 0.0684097i | ||||
\(795\) | 1.41830 | 0.0503020 | ||||||||
\(796\) | −0.864418 | − | 3.78726i | −0.0306385 | − | 0.134236i | ||||
\(797\) | 31.3518 | + | 15.0982i | 1.11054 | + | 0.534806i | 0.896956 | − | 0.442119i | \(-0.145773\pi\) |
0.213581 | + | 0.976925i | \(0.431487\pi\) | |||||||
\(798\) | −1.54577 | − | 0.744405i | −0.0547198 | − | 0.0263517i | ||||
\(799\) | −0.256421 | − | 1.12345i | −0.00907151 | − | 0.0397449i | ||||
\(800\) | −6.02510 | −0.213019 | ||||||||
\(801\) | −6.00941 | − | 26.3289i | −0.212332 | − | 0.930287i | ||||
\(802\) | 0.513404 | − | 0.643788i | 0.0181289 | − | 0.0227329i | ||||
\(803\) | 0.429409 | − | 1.88136i | 0.0151535 | − | 0.0663919i | ||||
\(804\) | −0.465908 | + | 2.04127i | −0.0164313 | + | 0.0719902i | ||||
\(805\) | 28.4437 | + | 35.6673i | 1.00251 | + | 1.25711i | ||||
\(806\) | 1.66939 | + | 0.803937i | 0.0588019 | + | 0.0283175i | ||||
\(807\) | 1.57708 | − | 0.759482i | 0.0555159 | − | 0.0267350i | ||||
\(808\) | 5.71328 | − | 7.16423i | 0.200993 | − | 0.252037i | ||||
\(809\) | 31.3880 | + | 39.3593i | 1.10354 | + | 1.38380i | 0.915826 | + | 0.401576i | \(0.131537\pi\) |
0.187717 | + | 0.982223i | \(0.439891\pi\) | |||||||
\(810\) | 0.339348 | − | 0.163421i | 0.0119235 | − | 0.00574205i | ||||
\(811\) | −8.56424 | −0.300731 | −0.150366 | − | 0.988630i | \(-0.548045\pi\) | ||||
−0.150366 | + | 0.988630i | \(0.548045\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −13.6620 | −0.479149 | ||||||||
\(814\) | 7.10121 | − | 3.41976i | 0.248897 | − | 0.119863i | ||||
\(815\) | −17.2355 | − | 21.6126i | −0.603733 | − | 0.757058i | ||||
\(816\) | −1.29428 | + | 1.62298i | −0.0453089 | + | 0.0568156i | ||||
\(817\) | 22.5809 | − | 10.8744i | 0.790007 | − | 0.380447i | ||||
\(818\) | −3.67928 | − | 1.77185i | −0.128643 | − | 0.0619513i | ||||
\(819\) | 8.90205 | + | 11.1628i | 0.311063 | + | 0.390060i | ||||
\(820\) | −6.33293 | + | 27.7464i | −0.221156 | + | 0.968946i | ||||
\(821\) | 7.23124 | − | 31.6821i | 0.252372 | − | 1.10571i | −0.676829 | − | 0.736140i | \(-0.736646\pi\) |
0.929201 | − | 0.369574i | \(-0.120496\pi\) | |||||||
\(822\) | 0.113778 | − | 0.142673i | 0.00396847 | − | 0.00497630i | ||||
\(823\) | 7.76814 | + | 34.0344i | 0.270780 | + | 1.18637i | 0.909094 | + | 0.416590i | \(0.136775\pi\) |
−0.638314 | + | 0.769776i | \(0.720368\pi\) | |||||||
\(824\) | 1.18846 | 0.0414019 | ||||||||
\(825\) | −2.99095 | − | 13.1042i | −0.104131 | − | 0.456229i | ||||
\(826\) | −0.561434 | − | 0.270372i | −0.0195348 | − | 0.00940746i | ||||
\(827\) | −38.1600 | − | 18.3769i | −1.32695 | − | 0.639027i | −0.369936 | − | 0.929057i | \(-0.620620\pi\) |
−0.957018 | + | 0.290030i | \(0.906335\pi\) | |||||||
\(828\) | −4.19782 | − | 18.3919i | −0.145884 | − | 0.639161i | ||||
\(829\) | 23.0078 | 0.799094 | 0.399547 | − | 0.916713i | \(-0.369167\pi\) | ||||
0.399547 | + | 0.916713i | \(0.369167\pi\) | |||||||
\(830\) | −0.468931 | − | 2.05452i | −0.0162768 | − | 0.0713134i | ||||
\(831\) | −8.44205 | + | 10.5860i | −0.292852 | + | 0.367224i | ||||
\(832\) | 4.57041 | − | 20.0243i | 0.158450 | − | 0.694217i | ||||
\(833\) | 0.167693 | − | 0.734713i | 0.00581023 | − | 0.0254563i | ||||
\(834\) | −0.870101 | − | 1.09107i | −0.0301291 | − | 0.0377807i | ||||
\(835\) | 60.1545 | + | 28.9689i | 2.08173 | + | 1.00251i | ||||
\(836\) | 21.6202 | − | 10.4117i | 0.747749 | − | 0.360097i | ||||
\(837\) | −12.7964 | + | 16.0461i | −0.442307 | + | 0.554636i | ||||
\(838\) | −3.28935 | − | 4.12472i | −0.113629 | − | 0.142486i | ||||
\(839\) | −3.47970 | + | 1.67573i | −0.120132 | + | 0.0578528i | −0.492985 | − | 0.870038i | \(-0.664094\pi\) |
0.372852 | + | 0.927891i | \(0.378380\pi\) | |||||||
\(840\) | 6.31604 | 0.217924 | ||||||||
\(841\) | 0 | 0 | ||||||||
\(842\) | 1.78321 | 0.0614534 | ||||||||
\(843\) | −13.8529 | + | 6.67120i | −0.477119 | + | 0.229768i | ||||
\(844\) | 21.8713 | + | 27.4257i | 0.752841 | + | 0.944033i | ||||
\(845\) | 8.98728 | − | 11.2697i | 0.309172 | − | 0.387689i | ||||
\(846\) | 0.638562 | − | 0.307515i | 0.0219542 | − | 0.0105726i | ||||
\(847\) | 13.0268 | + | 6.27338i | 0.447606 | + | 0.215556i | ||||
\(848\) | −1.06413 | − | 1.33438i | −0.0365424 | − | 0.0458227i | ||||
\(849\) | 6.50307 | − | 28.4918i | 0.223185 | − | 0.977836i | ||||
\(850\) | −0.0549927 | + | 0.240939i | −0.00188624 | + | 0.00826414i | ||||
\(851\) | 39.6885 | − | 49.7678i | 1.36050 | − | 1.70602i | ||||
\(852\) | 2.94743 | + | 12.9135i | 0.100977 | + | 0.442411i | ||||
\(853\) | −3.55963 | −0.121879 | −0.0609397 | − | 0.998141i | \(-0.519410\pi\) | ||||
−0.0609397 | + | 0.998141i | \(0.519410\pi\) | |||||||
\(854\) | −0.956614 | − | 4.19120i | −0.0327346 | − | 0.143420i | ||||
\(855\) | −13.4857 | − | 6.49437i | −0.461201 | − | 0.222103i | ||||
\(856\) | 1.59573 | + | 0.768465i | 0.0545411 | + | 0.0262656i | ||||
\(857\) | 4.27323 | + | 18.7222i | 0.145971 | + | 0.639540i | 0.993980 | + | 0.109559i | \(0.0349438\pi\) |
−0.848010 | + | 0.529981i | \(0.822199\pi\) | |||||||
\(858\) | −2.15795 | −0.0736711 | ||||||||
\(859\) | 3.11986 | + | 13.6690i | 0.106448 | + | 0.466380i | 0.999853 | + | 0.0171282i | \(0.00545234\pi\) |
−0.893405 | + | 0.449252i | \(0.851691\pi\) | |||||||
\(860\) | −28.5515 | + | 35.8025i | −0.973600 | + | 1.22086i | ||||
\(861\) | 3.73894 | − | 16.3814i | 0.127423 | − | 0.558275i | ||||
\(862\) | 0.406288 | − | 1.78006i | 0.0138382 | − | 0.0606292i | ||||
\(863\) | −0.523014 | − | 0.655839i | −0.0178036 | − | 0.0223250i | 0.772850 | − | 0.634589i | \(-0.218831\pi\) |
−0.790654 | + | 0.612264i | \(0.790259\pi\) | |||||||
\(864\) | −9.65352 | − | 4.64889i | −0.328419 | − | 0.158158i | ||||
\(865\) | 13.3107 | − | 6.41010i | 0.452578 | − | 0.217950i | ||||
\(866\) | 2.93661 | − | 3.68239i | 0.0997899 | − | 0.125133i | ||||
\(867\) | −11.7538 | − | 14.7388i | −0.399179 | − | 0.500555i | ||||
\(868\) | −20.0253 | + | 9.64367i | −0.679702 | + | 0.327327i | ||||
\(869\) | −7.39147 | −0.250739 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.65625 | −0.0900037 | ||||||||
\(872\) | −5.59645 | + | 2.69511i | −0.189520 | + | 0.0912679i | ||||
\(873\) | 2.61557 | + | 3.27982i | 0.0885235 | + | 0.111005i | ||||
\(874\) | −1.79307 | + | 2.24844i | −0.0606517 | + | 0.0760548i | ||||
\(875\) | 14.9505 | − | 7.19978i | 0.505419 | − | 0.243397i | ||||
\(876\) | −0.964873 | − | 0.464659i | −0.0326001 | − | 0.0156994i | ||||
\(877\) | −32.4944 | − | 40.7467i | −1.09726 | − | 1.37592i | −0.920076 | − | 0.391739i | \(-0.871873\pi\) |
−0.177182 | − | 0.984178i | \(-0.556698\pi\) | |||||||
\(878\) | 0.983598 | − | 4.30943i | 0.0331948 | − | 0.145436i | ||||
\(879\) | −1.43264 | + | 6.27681i | −0.0483218 | + | 0.211712i | ||||
\(880\) | −26.9251 | + | 33.7630i | −0.907644 | + | 1.13815i | ||||
\(881\) | 1.49513 | + | 6.55060i | 0.0503722 | + | 0.220695i | 0.993849 | − | 0.110743i | \(-0.0353232\pi\) |
−0.943477 | + | 0.331439i | \(0.892466\pi\) | |||||||
\(882\) | 0.463507 | 0.0156071 | ||||||||
\(883\) | 3.79146 | + | 16.6115i | 0.127593 | + | 0.559020i | 0.997798 | + | 0.0663303i | \(0.0211291\pi\) |
−0.870205 | + | 0.492690i | \(0.836014\pi\) | |||||||
\(884\) | −2.40902 | − | 1.16012i | −0.0810240 | − | 0.0390191i | ||||
\(885\) | 3.56686 | + | 1.71771i | 0.119899 | + | 0.0577401i | ||||
\(886\) | −0.537101 | − | 2.35320i | −0.0180443 | − | 0.0790571i | ||||
\(887\) | 15.9991 | 0.537197 | 0.268598 | − | 0.963252i | \(-0.413440\pi\) | ||||
0.268598 | + | 0.963252i | \(0.413440\pi\) | |||||||
\(888\) | −1.96107 | − | 8.59203i | −0.0658094 | − | 0.288330i | ||||
\(889\) | 2.08865 | − | 2.61908i | 0.0700509 | − | 0.0878411i | ||||
\(890\) | 1.67385 | − | 7.33361i | 0.0561075 | − | 0.245823i | ||||
\(891\) | 0.692091 | − | 3.03225i | 0.0231859 | − | 0.101584i | ||||
\(892\) | 23.3308 | + | 29.2559i | 0.781174 | + | 0.979561i | ||||
\(893\) | 6.56012 | + | 3.15919i | 0.219526 | + | 0.105718i | ||||
\(894\) | 2.95438 | − | 1.42275i | 0.0988092 | − | 0.0475840i | ||||
\(895\) | −19.9827 | + | 25.0575i | −0.667947 | + | 0.837579i | ||||
\(896\) | −9.62150 | − | 12.0650i | −0.321432 | − | 0.403063i | ||||
\(897\) | −15.7023 | + | 7.56182i | −0.524284 | + | 0.252482i | ||||
\(898\) | −3.78256 | −0.126226 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 10.2433 | 0.341442 | ||||||||
\(901\) | −0.194014 | + | 0.0934320i | −0.00646353 | + | 0.00311267i | ||||
\(902\) | −2.17434 | − | 2.72653i | −0.0723975 | − | 0.0907837i | ||||
\(903\) | 16.8567 | − | 21.1377i | 0.560956 | − | 0.703417i | ||||
\(904\) | −7.77507 | + | 3.74428i | −0.258595 | + | 0.124533i | ||||
\(905\) | 26.3424 | + | 12.6858i | 0.875649 | + | 0.421691i | ||||
\(906\) | 1.18010 | + | 1.47980i | 0.0392063 | + | 0.0491631i | ||||
\(907\) | 0.344600 | − | 1.50979i | 0.0114422 | − | 0.0501318i | −0.968885 | − | 0.247513i | \(-0.920387\pi\) |
0.980327 | + | 0.197381i | \(0.0632438\pi\) | |||||||
\(908\) | 0.0454520 | − | 0.199138i | 0.00150838 | − | 0.00660863i | ||||
\(909\) | −14.6055 | + | 18.3147i | −0.484433 | + | 0.607460i | ||||
\(910\) | 0.884944 | + | 3.87719i | 0.0293356 | + | 0.128528i | ||||
\(911\) | 19.4756 | 0.645256 | 0.322628 | − | 0.946526i | \(-0.395434\pi\) | ||||
0.322628 | + | 0.946526i | \(0.395434\pi\) | |||||||
\(912\) | −2.91871 | − | 12.7877i | −0.0966480 | − | 0.423443i | ||||
\(913\) | −15.6785 | − | 7.55036i | −0.518882 | − | 0.249880i | ||||
\(914\) | −1.50370 | − | 0.724144i | −0.0497380 | − | 0.0239525i | ||||
\(915\) | 6.07748 | + | 26.6272i | 0.200915 | + | 0.880267i | ||||
\(916\) | −26.0153 | −0.859570 | ||||||||
\(917\) | 11.3867 | + | 49.8886i | 0.376023 | + | 1.64747i | ||||
\(918\) | −0.274016 | + | 0.343605i | −0.00904387 | + | 0.0113407i | ||||
\(919\) | −9.23637 | + | 40.4672i | −0.304680 | + | 1.33489i | 0.558295 | + | 0.829642i | \(0.311456\pi\) |
−0.862975 | + | 0.505247i | \(0.831401\pi\) | |||||||
\(920\) | 2.35586 | − | 10.3217i | 0.0776703 | − | 0.340296i | ||||
\(921\) | −8.94473 | − | 11.2163i | −0.294739 | − | 0.369591i | ||||
\(922\) | 3.10412 | + | 1.49487i | 0.102229 | + | 0.0492308i | ||||
\(923\) | −15.1399 | + | 7.29099i | −0.498336 | + | 0.239986i | ||||
\(924\) | 16.1395 | − | 20.2383i | 0.530951 | − | 0.665791i | ||||
\(925\) | 21.5501 | + | 27.0230i | 0.708564 | + | 0.888511i | ||||
\(926\) | 2.43093 | − | 1.17067i | 0.0798852 | − | 0.0384707i | ||||
\(927\) | −3.03818 | −0.0997870 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −12.1373 | −0.398211 | −0.199105 | − | 0.979978i | \(-0.563804\pi\) | ||||
−0.199105 | + | 0.979978i | \(0.563804\pi\) | |||||||
\(930\) | −1.88787 | + | 0.909152i | −0.0619058 | + | 0.0298123i | ||||
\(931\) | 2.96889 | + | 3.72287i | 0.0973015 | + | 0.122012i | ||||
\(932\) | 2.68788 | − | 3.37049i | 0.0880443 | − | 0.110404i | ||||
\(933\) | 12.6779 | − | 6.10536i | 0.415056 | − | 0.199881i | ||||
\(934\) | 6.04078 | + | 2.90909i | 0.197660 | + | 0.0951882i | ||||
\(935\) | 3.39714 | + | 4.25988i | 0.111098 | + | 0.139313i | ||||
\(936\) | 0.737314 | − | 3.23038i | 0.0240999 | − | 0.105588i | ||||
\(937\) | −11.9126 | + | 52.1927i | −0.389169 | + | 1.70506i | 0.278361 | + | 0.960477i | \(0.410209\pi\) |
−0.667530 | + | 0.744583i | \(0.732648\pi\) | |||||||
\(938\) | −0.294799 | + | 0.369667i | −0.00962554 | + | 0.0120700i | ||||
\(939\) | −6.46946 | − | 28.3445i | −0.211123 | − | 0.924989i | ||||
\(940\) | −13.3036 | −0.433917 | ||||||||
\(941\) | −3.25236 | − | 14.2495i | −0.106024 | − | 0.464521i | −0.999870 | − | 0.0161466i | \(-0.994860\pi\) |
0.893846 | − | 0.448375i | \(-0.147997\pi\) | |||||||
\(942\) | −0.457433 | − | 0.220288i | −0.0149040 | − | 0.00717737i | ||||
\(943\) | −25.3758 | − | 12.2203i | −0.826350 | − | 0.397949i | ||||
\(944\) | −1.06009 | − | 4.64456i | −0.0345030 | − | 0.151168i | ||||
\(945\) | −44.0508 | −1.43297 | ||||||||
\(946\) | −1.24863 | − | 5.47062i | −0.0405966 | − | 0.177865i | ||||
\(947\) | 8.97899 | − | 11.2593i | 0.291778 | − | 0.365878i | −0.614239 | − | 0.789120i | \(-0.710537\pi\) |
0.906016 | + | 0.423242i | \(0.139108\pi\) | |||||||
\(948\) | −0.912772 | + | 3.99911i | −0.0296454 | + | 0.129885i | ||||
\(949\) | 0.302324 | − | 1.32457i | 0.00981384 | − | 0.0429972i | ||||
\(950\) | −0.973607 | − | 1.22086i | −0.0315880 | − | 0.0396101i | ||||
\(951\) | −27.4588 | − | 13.2234i | −0.890411 | − | 0.428799i | ||||
\(952\) | −0.863988 | + | 0.416075i | −0.0280020 | + | 0.0134851i | ||||
\(953\) | 4.15499 | − | 5.21020i | 0.134593 | − | 0.168775i | −0.709967 | − | 0.704235i | \(-0.751290\pi\) |
0.844561 | + | 0.535460i | \(0.179862\pi\) | |||||||
\(954\) | −0.0825777 | − | 0.103549i | −0.00267355 | − | 0.00335253i | ||||
\(955\) | −16.0644 | + | 7.73619i | −0.519831 | + | 0.250337i | ||||
\(956\) | −30.1667 | −0.975660 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 7.22820 | 0.233533 | ||||||||
\(959\) | −2.50207 | + | 1.20494i | −0.0807962 | + | 0.0389094i | ||||
\(960\) | 14.4820 | + | 18.1598i | 0.467404 | + | 0.586106i | ||||
\(961\) | −10.0651 | + | 12.6212i | −0.324680 | + | 0.407135i | ||||
\(962\) | 4.99958 | − | 2.40767i | 0.161193 | − | 0.0776264i | ||||
\(963\) | −4.07935 | − | 1.96451i | −0.131455 | − | 0.0633055i | ||||
\(964\) | 16.7047 | + | 20.9470i | 0.538022 | + | 0.674658i | ||||
\(965\) | −2.58094 | + | 11.3078i | −0.0830834 | + | 0.364012i | ||||
\(966\) | −0.690322 | + | 3.02450i | −0.0222107 | + | 0.0973116i | ||||
\(967\) | −11.1514 | + | 13.9834i | −0.358605 | + | 0.449677i | −0.928107 | − | 0.372313i | \(-0.878565\pi\) |
0.569502 | + | 0.821990i | \(0.307136\pi\) | |||||||
\(968\) | −0.746655 | − | 3.27131i | −0.0239984 | − | 0.105144i | ||||
\(969\) | −1.65492 | −0.0531636 | ||||||||
\(970\) | 0.260011 | + | 1.13918i | 0.00834845 | + | 0.0365769i | ||||
\(971\) | 27.5969 | + | 13.2900i | 0.885627 | + | 0.426495i | 0.820676 | − | 0.571393i | \(-0.193597\pi\) |
0.0649502 | + | 0.997889i | \(0.479311\pi\) | |||||||
\(972\) | 26.8082 | + | 12.9102i | 0.859874 | + | 0.414094i | ||||
\(973\) | 4.72576 | + | 20.7049i | 0.151501 | + | 0.663769i | ||||
\(974\) | 2.32073 | 0.0743611 | ||||||||
\(975\) | −2.10576 | − | 9.22595i | −0.0674384 | − | 0.295467i | ||||
\(976\) | 20.4917 | − | 25.6958i | 0.655924 | − | 0.822503i | ||||
\(977\) | 6.02069 | − | 26.3784i | 0.192619 | − | 0.843919i | −0.782573 | − | 0.622559i | \(-0.786093\pi\) |
0.975192 | − | 0.221360i | \(-0.0710497\pi\) | |||||||
\(978\) | 0.418302 | − | 1.83270i | 0.0133758 | − | 0.0586032i | ||||
\(979\) | −38.7285 | − | 48.5640i | −1.23777 | − | 1.55211i | ||||
\(980\) | −7.83868 | − | 3.77491i | −0.250398 | − | 0.120585i | ||||
\(981\) | 14.3068 | − | 6.88979i | 0.456781 | − | 0.219974i | ||||
\(982\) | 0.435775 | − | 0.546445i | 0.0139062 | − | 0.0174378i | ||||
\(983\) | −19.8524 | − | 24.8942i | −0.633195 | − | 0.794001i | 0.356939 | − | 0.934128i | \(-0.383820\pi\) |
−0.990134 | + | 0.140127i | \(0.955249\pi\) | |||||||
\(984\) | −3.51324 | + | 1.69189i | −0.111998 | + | 0.0539354i | ||||
\(985\) | 57.5056 | 1.83228 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 7.85441 | 0.250009 | ||||||||
\(988\) | 15.2216 | − | 7.33033i | 0.484263 | − | 0.233209i | ||||
\(989\) | −28.2557 | − | 35.4315i | −0.898479 | − | 1.12666i | ||||
\(990\) | −2.08942 | + | 2.62004i | −0.0664060 | + | 0.0832705i | ||||
\(991\) | −21.9543 | + | 10.5726i | −0.697401 | + | 0.335851i | −0.748771 | − | 0.662829i | \(-0.769356\pi\) |
0.0513697 | + | 0.998680i | \(0.483641\pi\) | |||||||
\(992\) | 6.98805 | + | 3.36527i | 0.221871 | + | 0.106847i | ||||
\(993\) | 7.69646 | + | 9.65105i | 0.244240 | + | 0.306267i | ||||
\(994\) | −0.665598 | + | 2.91617i | −0.0211115 | + | 0.0924954i | ||||
\(995\) | −1.24016 | + | 5.43351i | −0.0393158 | + | 0.172254i | ||||
\(996\) | −6.02121 | + | 7.55036i | −0.190789 | + | 0.239242i | ||||
\(997\) | 5.61446 | + | 24.5985i | 0.177812 | + | 0.779044i | 0.982638 | + | 0.185533i | \(0.0594013\pi\) |
−0.804826 | + | 0.593510i | \(0.797742\pi\) | |||||||
\(998\) | −2.14013 | −0.0677448 | ||||||||
\(999\) | 13.6774 | + | 59.9245i | 0.432733 | + | 1.89593i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))