Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(4,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bs (of order \(30\), degree \(8\), 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: | \(288\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.17 | ||
Character | \(\chi\) | \(=\) | 403.4 |
Dual form | 403.2.bs.a.101.17 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0525799 | + | 0.247369i | −0.0371796 | + | 0.174916i | −0.992820 | − | 0.119621i | \(-0.961832\pi\) |
0.955640 | + | 0.294537i | \(0.0951655\pi\) | |||||||
\(3\) | 0.690263 | + | 0.766614i | 0.398523 | + | 0.442605i | 0.908691 | − | 0.417470i | \(-0.137083\pi\) |
−0.510167 | + | 0.860075i | \(0.670416\pi\) | |||||||
\(4\) | 1.76866 | + | 0.787460i | 0.884332 | + | 0.393730i | ||||
\(5\) | 3.00880i | 1.34558i | 0.739835 | + | 0.672789i | \(0.234904\pi\) | ||||
−0.739835 | + | 0.672789i | \(0.765096\pi\) | |||||||
\(6\) | −0.225931 | + | 0.130441i | −0.0922358 | + | 0.0532524i | ||||
\(7\) | −0.278018 | + | 0.624439i | −0.105081 | + | 0.236016i | −0.958432 | − | 0.285321i | \(-0.907900\pi\) |
0.853351 | + | 0.521337i | \(0.174566\pi\) | |||||||
\(8\) | −0.585086 | + | 0.805302i | −0.206859 | + | 0.284717i | ||||
\(9\) | 0.202350 | − | 1.92523i | 0.0674501 | − | 0.641745i | ||||
\(10\) | −0.744285 | − | 0.158203i | −0.235364 | − | 0.0500281i | ||||
\(11\) | −0.385366 | + | 0.0405036i | −0.116192 | + | 0.0122123i | −0.162446 | − | 0.986717i | \(-0.551938\pi\) |
0.0462539 | + | 0.998930i | \(0.485272\pi\) | |||||||
\(12\) | 0.617165 | + | 1.89944i | 0.178160 | + | 0.548320i | ||||
\(13\) | −0.696679 | + | 3.53760i | −0.193224 | + | 0.981155i | ||||
\(14\) | −0.139849 | − | 0.101606i | −0.0373761 | − | 0.0271554i | ||||
\(15\) | −2.30659 | + | 2.07686i | −0.595559 | + | 0.536244i | ||||
\(16\) | 2.42249 | + | 2.69045i | 0.605622 | + | 0.672612i | ||||
\(17\) | 0.685186 | − | 6.51911i | 0.166182 | − | 1.58112i | −0.520309 | − | 0.853978i | \(-0.674183\pi\) |
0.686491 | − | 0.727138i | \(-0.259150\pi\) | |||||||
\(18\) | 0.465604 | + | 0.151284i | 0.109744 | + | 0.0356580i | ||||
\(19\) | −4.45601 | − | 4.01221i | −1.02228 | − | 0.920463i | −0.0254203 | − | 0.999677i | \(-0.508092\pi\) |
−0.996858 | + | 0.0792137i | \(0.974759\pi\) | |||||||
\(20\) | −2.36931 | + | 5.32156i | −0.529794 | + | 1.18994i | ||||
\(21\) | −0.670609 | + | 0.217894i | −0.146339 | + | 0.0475484i | ||||
\(22\) | 0.0102432 | − | 0.0974573i | 0.00218385 | − | 0.0207780i | ||||
\(23\) | 2.54744 | − | 1.13419i | 0.531178 | − | 0.236496i | −0.123579 | − | 0.992335i | \(-0.539437\pi\) |
0.654758 | + | 0.755839i | \(0.272771\pi\) | |||||||
\(24\) | −1.02122 | + | 0.107334i | −0.208455 | + | 0.0219096i | ||||
\(25\) | −4.05289 | −0.810578 | ||||||||
\(26\) | −0.838463 | − | 0.358344i | −0.164436 | − | 0.0702770i | ||||
\(27\) | 4.11929 | − | 2.99284i | 0.792757 | − | 0.575972i | ||||
\(28\) | −0.983441 | + | 0.885494i | −0.185853 | + | 0.167343i | ||||
\(29\) | −7.49118 | − | 1.59230i | −1.39108 | − | 0.295683i | −0.549354 | − | 0.835590i | \(-0.685126\pi\) |
−0.841725 | + | 0.539907i | \(0.818459\pi\) | |||||||
\(30\) | −0.392472 | − | 0.679781i | −0.0716552 | − | 0.124110i | ||||
\(31\) | 4.78673 | + | 2.84381i | 0.859721 | + | 0.510764i | ||||
\(32\) | −2.51700 | + | 1.45319i | −0.444948 | + | 0.256891i | ||||
\(33\) | −0.297054 | − | 0.267469i | −0.0517105 | − | 0.0465603i | ||||
\(34\) | 1.57660 | + | 0.512268i | 0.270385 | + | 0.0878533i | ||||
\(35\) | −1.87881 | − | 0.836501i | −0.317577 | − | 0.141394i | ||||
\(36\) | 1.87394 | − | 3.24575i | 0.312323 | − | 0.540958i | ||||
\(37\) | 9.45331 | + | 5.45787i | 1.55411 | + | 0.897268i | 0.997800 | + | 0.0662962i | \(0.0211182\pi\) |
0.556314 | + | 0.830972i | \(0.312215\pi\) | |||||||
\(38\) | 1.22679 | − | 0.891317i | 0.199012 | − | 0.144591i | ||||
\(39\) | −3.19287 | + | 1.90779i | −0.511268 | + | 0.305491i | ||||
\(40\) | −2.42299 | − | 1.76041i | −0.383109 | − | 0.278345i | ||||
\(41\) | −0.546642 | + | 2.57175i | −0.0853711 | + | 0.401640i | −0.999996 | − | 0.00266294i | \(-0.999152\pi\) |
0.914625 | + | 0.404302i | \(0.132486\pi\) | |||||||
\(42\) | −0.0186397 | − | 0.177345i | −0.00287617 | − | 0.0273649i | ||||
\(43\) | 2.40896 | − | 2.67543i | 0.367364 | − | 0.407999i | −0.530915 | − | 0.847425i | \(-0.678152\pi\) |
0.898279 | + | 0.439426i | \(0.144818\pi\) | |||||||
\(44\) | −0.713477 | − | 0.231823i | −0.107561 | − | 0.0349486i | ||||
\(45\) | 5.79265 | + | 0.608832i | 0.863517 | + | 0.0907593i | ||||
\(46\) | 0.146620 | + | 0.689794i | 0.0216180 | + | 0.101705i | ||||
\(47\) | 6.78350 | + | 2.20409i | 0.989475 | + | 0.321500i | 0.758652 | − | 0.651496i | \(-0.225858\pi\) |
0.230823 | + | 0.972996i | \(0.425858\pi\) | |||||||
\(48\) | −0.390381 | + | 3.71423i | −0.0563467 | + | 0.536103i | ||||
\(49\) | 4.37128 | + | 4.85480i | 0.624469 | + | 0.693543i | ||||
\(50\) | 0.213101 | − | 1.00256i | 0.0301370 | − | 0.141783i | ||||
\(51\) | 5.47060 | − | 3.97463i | 0.766038 | − | 0.556559i | ||||
\(52\) | −4.01791 | + | 5.70823i | −0.557184 | + | 0.791588i | ||||
\(53\) | −6.94373 | − | 5.04492i | −0.953795 | − | 0.692973i | −0.00209350 | − | 0.999998i | \(-0.500666\pi\) |
−0.951701 | + | 0.307025i | \(0.900666\pi\) | |||||||
\(54\) | 0.523744 | + | 1.17635i | 0.0712725 | + | 0.160081i | ||||
\(55\) | −0.121867 | − | 1.15949i | −0.0164326 | − | 0.156345i | ||||
\(56\) | −0.340197 | − | 0.589239i | −0.0454608 | − | 0.0787403i | ||||
\(57\) | − | 6.18552i | − | 0.819292i | ||||||
\(58\) | 0.787772 | − | 1.76936i | 0.103440 | − | 0.232329i | ||||
\(59\) | −0.854831 | − | 4.02166i | −0.111290 | − | 0.523576i | −0.998109 | − | 0.0614609i | \(-0.980424\pi\) |
0.886820 | − | 0.462115i | \(-0.152909\pi\) | |||||||
\(60\) | −5.71503 | + | 1.85693i | −0.737807 | + | 0.239728i | ||||
\(61\) | 4.29684 | + | 7.44235i | 0.550154 | + | 0.952895i | 0.998263 | + | 0.0589161i | \(0.0187644\pi\) |
−0.448109 | + | 0.893979i | \(0.647902\pi\) | |||||||
\(62\) | −0.955157 | + | 1.03456i | −0.121305 | + | 0.131389i | ||||
\(63\) | 1.14593 | + | 0.661605i | 0.144374 | + | 0.0833544i | ||||
\(64\) | 2.01037 | + | 6.18728i | 0.251296 | + | 0.773410i | ||||
\(65\) | −10.6439 | − | 2.09617i | −1.32022 | − | 0.259998i | ||||
\(66\) | 0.0817826 | − | 0.0594186i | 0.0100667 | − | 0.00731392i | ||||
\(67\) | −2.54983 | − | 1.47215i | −0.311512 | − | 0.179851i | 0.336091 | − | 0.941830i | \(-0.390895\pi\) |
−0.647603 | + | 0.761978i | \(0.724228\pi\) | |||||||
\(68\) | 6.34540 | − | 10.9906i | 0.769493 | − | 1.33280i | ||||
\(69\) | 2.62789 | + | 1.17001i | 0.316361 | + | 0.140853i | ||||
\(70\) | 0.305712 | − | 0.420777i | 0.0365396 | − | 0.0502925i | ||||
\(71\) | −12.7867 | − | 1.34394i | −1.51750 | − | 0.159496i | −0.691175 | − | 0.722688i | \(-0.742907\pi\) |
−0.826326 | + | 0.563192i | \(0.809573\pi\) | |||||||
\(72\) | 1.43200 | + | 1.28938i | 0.168763 | + | 0.151955i | ||||
\(73\) | −6.80702 | − | 9.36905i | −0.796701 | − | 1.09656i | −0.993241 | − | 0.116069i | \(-0.962971\pi\) |
0.196540 | − | 0.980496i | \(-0.437029\pi\) | |||||||
\(74\) | −1.84716 | + | 2.05148i | −0.214728 | + | 0.238480i | ||||
\(75\) | −2.79756 | − | 3.10700i | −0.323034 | − | 0.358766i | ||||
\(76\) | −4.72173 | − | 10.6052i | −0.541619 | − | 1.21650i | ||||
\(77\) | 0.0818466 | − | 0.251898i | 0.00932729 | − | 0.0287064i | ||||
\(78\) | −0.304048 | − | 0.890129i | −0.0344267 | − | 0.100787i | ||||
\(79\) | 6.68904 | + | 4.85987i | 0.752576 | + | 0.546778i | 0.896624 | − | 0.442792i | \(-0.146012\pi\) |
−0.144048 | + | 0.989571i | \(0.546012\pi\) | |||||||
\(80\) | −8.09502 | + | 7.28879i | −0.905051 | + | 0.814912i | ||||
\(81\) | −0.542865 | − | 0.115390i | −0.0603184 | − | 0.0128211i | ||||
\(82\) | −0.607429 | − | 0.270445i | −0.0670793 | − | 0.0298656i | ||||
\(83\) | 12.5297 | − | 4.07114i | 1.37531 | − | 0.446866i | 0.474187 | − | 0.880424i | \(-0.342742\pi\) |
0.901126 | + | 0.433558i | \(0.142742\pi\) | |||||||
\(84\) | −1.35767 | − | 0.142696i | −0.148133 | − | 0.0155695i | ||||
\(85\) | 19.6147 | + | 2.06159i | 2.12751 | + | 0.223611i | ||||
\(86\) | 0.535155 | + | 0.736577i | 0.0577072 | + | 0.0794272i | ||||
\(87\) | −3.95021 | − | 6.84196i | −0.423506 | − | 0.733535i | ||||
\(88\) | 0.192855 | − | 0.334034i | 0.0205584 | − | 0.0356081i | ||||
\(89\) | 0.304553 | − | 0.0320098i | 0.0322825 | − | 0.00339303i | −0.0883734 | − | 0.996087i | \(-0.528167\pi\) |
0.120656 | + | 0.992694i | \(0.461500\pi\) | |||||||
\(90\) | −0.455183 | + | 1.40091i | −0.0479805 | + | 0.147669i | ||||
\(91\) | −2.01533 | − | 1.41855i | −0.211264 | − | 0.148705i | ||||
\(92\) | 5.39870 | 0.562853 | ||||||||
\(93\) | 1.12399 | + | 5.63255i | 0.116552 | + | 0.584068i | ||||
\(94\) | −0.901901 | + | 1.56214i | −0.0930239 | + | 0.161122i | ||||
\(95\) | 12.0719 | − | 13.4072i | 1.23855 | − | 1.37555i | ||||
\(96\) | −2.85143 | − | 0.926487i | −0.291023 | − | 0.0945592i | ||||
\(97\) | 7.05944 | − | 15.8558i | 0.716778 | − | 1.60991i | −0.0735989 | − | 0.997288i | \(-0.523448\pi\) |
0.790377 | − | 0.612621i | \(-0.209885\pi\) | |||||||
\(98\) | −1.43077 | + | 0.826056i | −0.144530 | + | 0.0834442i | ||||
\(99\) | 0.750115i | 0.0753894i | ||||||||
\(100\) | −7.16820 | − | 3.19149i | −0.716820 | − | 0.319149i | ||||
\(101\) | 1.83207 | − | 0.815690i | 0.182298 | − | 0.0811642i | −0.313558 | − | 0.949569i | \(-0.601521\pi\) |
0.495856 | + | 0.868405i | \(0.334854\pi\) | |||||||
\(102\) | 0.695556 | + | 1.56224i | 0.0688703 | + | 0.154685i | ||||
\(103\) | −5.67961 | − | 17.4800i | −0.559628 | − | 1.72236i | −0.683397 | − | 0.730047i | \(-0.739498\pi\) |
0.123769 | − | 0.992311i | \(-0.460502\pi\) | |||||||
\(104\) | −2.44122 | − | 2.63084i | −0.239381 | − | 0.257975i | ||||
\(105\) | −0.655600 | − | 2.01773i | −0.0639800 | − | 0.196910i | ||||
\(106\) | 1.61306 | − | 1.45240i | 0.156674 | − | 0.141070i | ||||
\(107\) | −7.02601 | + | 3.12818i | −0.679230 | + | 0.302413i | −0.717201 | − | 0.696866i | \(-0.754577\pi\) |
0.0379709 | + | 0.999279i | \(0.487911\pi\) | |||||||
\(108\) | 9.64238 | − | 2.04955i | 0.927838 | − | 0.197218i | ||||
\(109\) | −7.60295 | − | 2.47035i | −0.728230 | − | 0.236616i | −0.0786424 | − | 0.996903i | \(-0.525059\pi\) |
−0.649588 | + | 0.760287i | \(0.725059\pi\) | |||||||
\(110\) | 0.293230 | + | 0.0308197i | 0.0279583 | + | 0.00293854i | ||||
\(111\) | 2.34118 | + | 11.0144i | 0.222215 | + | 1.04544i | ||||
\(112\) | −2.35351 | + | 0.764703i | −0.222386 | + | 0.0722577i | ||||
\(113\) | 3.38612 | + | 1.50760i | 0.318540 | + | 0.141823i | 0.559777 | − | 0.828643i | \(-0.310887\pi\) |
−0.241238 | + | 0.970466i | \(0.577553\pi\) | |||||||
\(114\) | 1.53011 | + | 0.325234i | 0.143308 | + | 0.0304610i | ||||
\(115\) | 3.41257 | + | 7.66475i | 0.318223 | + | 0.714741i | ||||
\(116\) | −11.9955 | − | 8.71525i | −1.11376 | − | 0.809191i | ||||
\(117\) | 6.66974 | + | 2.05711i | 0.616618 | + | 0.190179i | ||||
\(118\) | 1.03978 | 0.0957197 | ||||||||
\(119\) | 3.88029 | + | 2.24029i | 0.355706 | + | 0.205367i | ||||
\(120\) | −0.322948 | − | 3.07265i | −0.0294810 | − | 0.280493i | ||||
\(121\) | −10.6128 | + | 2.25581i | −0.964796 | + | 0.205074i | ||||
\(122\) | −2.06694 | + | 0.671588i | −0.187132 | + | 0.0608027i | ||||
\(123\) | −2.34887 | + | 1.35612i | −0.211790 | + | 0.122277i | ||||
\(124\) | 6.22672 | + | 8.79910i | 0.559176 | + | 0.790183i | ||||
\(125\) | 2.84967i | 0.254882i | ||||||||
\(126\) | −0.223914 | + | 0.248682i | −0.0199478 | + | 0.0221543i | ||||
\(127\) | −12.3403 | − | 13.7053i | −1.09503 | − | 1.21615i | −0.974724 | − | 0.223413i | \(-0.928280\pi\) |
−0.120302 | − | 0.992737i | \(-0.538386\pi\) | |||||||
\(128\) | −7.41718 | + | 0.779577i | −0.655592 | + | 0.0689055i | ||||
\(129\) | 3.71384 | 0.326985 | ||||||||
\(130\) | 1.07819 | − | 2.52277i | 0.0945631 | − | 0.221261i | ||||
\(131\) | −3.97513 | + | 2.88810i | −0.347309 | + | 0.252335i | −0.747739 | − | 0.663993i | \(-0.768861\pi\) |
0.400430 | + | 0.916327i | \(0.368861\pi\) | |||||||
\(132\) | −0.314768 | − | 0.706981i | −0.0273971 | − | 0.0615348i | ||||
\(133\) | 3.74423 | − | 1.66704i | 0.324666 | − | 0.144550i | ||||
\(134\) | 0.498234 | − | 0.553345i | 0.0430409 | − | 0.0478017i | ||||
\(135\) | 9.00486 | + | 12.3941i | 0.775015 | + | 1.06672i | ||||
\(136\) | 4.84896 | + | 4.36602i | 0.415795 | + | 0.374383i | ||||
\(137\) | −0.473860 | − | 2.22934i | −0.0404846 | − | 0.190465i | 0.953258 | − | 0.302157i | \(-0.0977065\pi\) |
−0.993743 | + | 0.111691i | \(0.964373\pi\) | |||||||
\(138\) | −0.427600 | + | 0.588541i | −0.0363997 | + | 0.0500999i | ||||
\(139\) | 11.9091 | − | 2.53135i | 1.01011 | − | 0.214706i | 0.327005 | − | 0.945023i | \(-0.393961\pi\) |
0.683109 | + | 0.730316i | \(0.260627\pi\) | |||||||
\(140\) | −2.66428 | − | 2.95898i | −0.225172 | − | 0.250079i | ||||
\(141\) | 2.99271 | + | 6.72173i | 0.252032 | + | 0.566072i | ||||
\(142\) | 1.00477 | − | 3.09237i | 0.0843185 | − | 0.259506i | ||||
\(143\) | 0.125191 | − | 1.39149i | 0.0104690 | − | 0.116362i | ||||
\(144\) | 5.66993 | − | 4.11945i | 0.472494 | − | 0.343287i | ||||
\(145\) | 4.79092 | − | 22.5395i | 0.397864 | − | 1.87180i | ||||
\(146\) | 2.67553 | − | 1.19122i | 0.221428 | − | 0.0985862i | ||||
\(147\) | −0.704428 | + | 6.70218i | −0.0581002 | + | 0.552787i | ||||
\(148\) | 12.4219 | + | 17.0972i | 1.02107 | + | 1.40538i | ||||
\(149\) | −10.0996 | + | 5.83100i | −0.827390 | + | 0.477694i | −0.852958 | − | 0.521979i | \(-0.825194\pi\) |
0.0255682 | + | 0.999673i | \(0.491861\pi\) | |||||||
\(150\) | 0.915672 | − | 0.528664i | 0.0747643 | − | 0.0431652i | ||||
\(151\) | 0.360175 | + | 0.495738i | 0.0293106 | + | 0.0403426i | 0.823421 | − | 0.567431i | \(-0.192063\pi\) |
−0.794110 | + | 0.607774i | \(0.792063\pi\) | |||||||
\(152\) | 5.83818 | − | 1.24094i | 0.473539 | − | 0.100654i | ||||
\(153\) | −12.4122 | − | 2.63829i | −1.00346 | − | 0.213293i | ||||
\(154\) | 0.0580083 | + | 0.0334911i | 0.00467444 | + | 0.00269879i | ||||
\(155\) | −8.55647 | + | 14.4023i | −0.687272 | + | 1.15682i | ||||
\(156\) | −7.14942 | + | 0.859986i | −0.572412 | + | 0.0688540i | ||||
\(157\) | 6.04184 | + | 18.5949i | 0.482191 | + | 1.48403i | 0.836008 | + | 0.548717i | \(0.184883\pi\) |
−0.353817 | + | 0.935315i | \(0.615117\pi\) | |||||||
\(158\) | −1.55389 | + | 1.39913i | −0.123621 | + | 0.111309i | ||||
\(159\) | −0.925494 | − | 8.80548i | −0.0733964 | − | 0.698320i | ||||
\(160\) | −4.37237 | − | 7.57317i | −0.345666 | − | 0.598712i | ||||
\(161\) | 1.90605i | 0.150218i | ||||||||
\(162\) | 0.0570876 | − | 0.128221i | 0.00448523 | − | 0.0100740i | ||||
\(163\) | 1.39795 | + | 0.146930i | 0.109496 | + | 0.0115085i | 0.159118 | − | 0.987260i | \(-0.449135\pi\) |
−0.0496220 | + | 0.998768i | \(0.515802\pi\) | |||||||
\(164\) | −2.99197 | + | 4.11810i | −0.233634 | + | 0.321570i | ||||
\(165\) | 0.804761 | − | 0.893777i | 0.0626505 | − | 0.0695805i | ||||
\(166\) | 0.348265 | + | 3.31352i | 0.0270306 | + | 0.257179i | ||||
\(167\) | −1.71140 | + | 8.05153i | −0.132432 | + | 0.623046i | 0.860998 | + | 0.508608i | \(0.169840\pi\) |
−0.993430 | + | 0.114437i | \(0.963493\pi\) | |||||||
\(168\) | 0.216894 | − | 0.667530i | 0.0167337 | − | 0.0515010i | ||||
\(169\) | −12.0293 | − | 4.92915i | −0.925329 | − | 0.379165i | ||||
\(170\) | −1.54131 | + | 4.74368i | −0.118213 | + | 0.363823i | ||||
\(171\) | −8.62611 | + | 7.76699i | −0.659655 | + | 0.593956i | ||||
\(172\) | 6.36744 | − | 2.83497i | 0.485513 | − | 0.216164i | ||||
\(173\) | −3.12552 | + | 0.664350i | −0.237629 | + | 0.0505096i | −0.325187 | − | 0.945650i | \(-0.605427\pi\) |
0.0875577 | + | 0.996159i | \(0.472094\pi\) | |||||||
\(174\) | 1.90019 | − | 0.617409i | 0.144053 | − | 0.0468057i | ||||
\(175\) | 1.12678 | − | 2.53078i | 0.0851763 | − | 0.191309i | ||||
\(176\) | −1.04252 | − | 0.938687i | −0.0785827 | − | 0.0707562i | ||||
\(177\) | 2.49301 | − | 3.43133i | 0.187386 | − | 0.257915i | ||||
\(178\) | −0.00809513 | + | 0.0770200i | −0.000606755 | + | 0.00577289i | ||||
\(179\) | −1.25649 | − | 11.9547i | −0.0939148 | − | 0.893539i | −0.935479 | − | 0.353382i | \(-0.885032\pi\) |
0.841564 | − | 0.540157i | \(-0.181635\pi\) | |||||||
\(180\) | 9.76582 | + | 5.63830i | 0.727901 | + | 0.420254i | ||||
\(181\) | 0.415349 | 0.0308726 | 0.0154363 | − | 0.999881i | \(-0.495086\pi\) | ||||
0.0154363 | + | 0.999881i | \(0.495086\pi\) | |||||||
\(182\) | 0.456871 | − | 0.423942i | 0.0338656 | − | 0.0314247i | ||||
\(183\) | −2.73946 | + | 8.43120i | −0.202507 | + | 0.623252i | ||||
\(184\) | −0.577104 | + | 2.71506i | −0.0425447 | + | 0.200157i | ||||
\(185\) | −16.4216 | + | 28.4431i | −1.20734 | + | 2.09118i | ||||
\(186\) | −1.45242 | − | 0.0181184i | −0.106496 | − | 0.00132850i | ||||
\(187\) | 2.53999i | 0.185743i | ||||||||
\(188\) | 10.2621 | + | 9.24003i | 0.748440 | + | 0.673899i | ||||
\(189\) | 0.723608 | + | 3.40431i | 0.0526347 | + | 0.247627i | ||||
\(190\) | 2.68180 | + | 3.69118i | 0.194558 | + | 0.267786i | ||||
\(191\) | −2.92375 | − | 5.06408i | −0.211555 | − | 0.366424i | 0.740646 | − | 0.671895i | \(-0.234519\pi\) |
−0.952201 | + | 0.305471i | \(0.901186\pi\) | |||||||
\(192\) | −3.35558 | + | 5.81203i | −0.242168 | + | 0.419447i | ||||
\(193\) | −8.88674 | + | 0.934034i | −0.639681 | + | 0.0672332i | −0.418816 | − | 0.908071i | \(-0.637555\pi\) |
−0.220865 | + | 0.975304i | \(0.570888\pi\) | |||||||
\(194\) | 3.55104 | + | 2.57998i | 0.254950 | + | 0.185232i | ||||
\(195\) | −5.74017 | − | 9.60671i | −0.411062 | − | 0.687951i | ||||
\(196\) | 3.90837 | + | 12.0287i | 0.279169 | + | 0.859195i | ||||
\(197\) | −17.6640 | + | 1.85656i | −1.25851 | + | 0.132275i | −0.710200 | − | 0.704000i | \(-0.751395\pi\) |
−0.548310 | + | 0.836275i | \(0.684729\pi\) | |||||||
\(198\) | −0.185555 | − | 0.0394410i | −0.0131868 | − | 0.00280295i | ||||
\(199\) | 19.8997 | − | 4.22981i | 1.41065 | − | 0.299843i | 0.561274 | − | 0.827630i | \(-0.310311\pi\) |
0.849377 | + | 0.527787i | \(0.176978\pi\) | |||||||
\(200\) | 2.37129 | − | 3.26380i | 0.167675 | − | 0.230785i | ||||
\(201\) | −0.631486 | − | 2.97091i | −0.0445416 | − | 0.209552i | ||||
\(202\) | 0.105446 | + | 0.496086i | 0.00741918 | + | 0.0349045i | ||||
\(203\) | 3.07698 | − | 4.23510i | 0.215962 | − | 0.297246i | ||||
\(204\) | 12.8055 | − | 2.72190i | 0.896565 | − | 0.190571i | ||||
\(205\) | −7.73788 | − | 1.64474i | −0.540437 | − | 0.114873i | ||||
\(206\) | 4.62265 | − | 0.485860i | 0.322075 | − | 0.0338515i | ||||
\(207\) | −1.66811 | − | 5.13393i | −0.115942 | − | 0.356833i | ||||
\(208\) | −11.2054 | + | 6.69543i | −0.776957 | + | 0.464244i | ||||
\(209\) | 1.87970 | + | 1.36568i | 0.130022 | + | 0.0944662i | ||||
\(210\) | 0.533596 | − | 0.0560832i | 0.0368216 | − | 0.00387011i | ||||
\(211\) | −0.942962 | + | 1.63326i | −0.0649162 | + | 0.112438i | −0.896657 | − | 0.442726i | \(-0.854011\pi\) |
0.831741 | + | 0.555164i | \(0.187345\pi\) | |||||||
\(212\) | −8.30846 | − | 14.3907i | −0.570627 | − | 0.988355i | ||||
\(213\) | −7.79590 | − | 10.7301i | −0.534166 | − | 0.735216i | ||||
\(214\) | −0.404389 | − | 1.90250i | −0.0276434 | − | 0.130052i | ||||
\(215\) | 8.04983 | + | 7.24810i | 0.548994 | + | 0.494316i | ||||
\(216\) | 5.06834i | 0.344857i | ||||||||
\(217\) | −3.10658 | + | 2.19839i | −0.210888 | + | 0.149236i | ||||
\(218\) | 1.01085 | − | 1.75084i | 0.0684634 | − | 0.118582i | ||||
\(219\) | 2.48382 | − | 11.6855i | 0.167841 | − | 0.789631i | ||||
\(220\) | 0.697509 | − | 2.14671i | 0.0470261 | − | 0.144731i | ||||
\(221\) | 22.5847 | + | 6.96564i | 1.51921 | + | 0.468560i | ||||
\(222\) | −2.84772 | −0.191127 | ||||||||
\(223\) | 4.60004 | + | 2.65584i | 0.308042 | + | 0.177848i | 0.646050 | − | 0.763295i | \(-0.276420\pi\) |
−0.338008 | + | 0.941143i | \(0.609753\pi\) | |||||||
\(224\) | −0.207657 | − | 1.97573i | −0.0138747 | − | 0.132009i | ||||
\(225\) | −0.820103 | + | 7.80276i | −0.0546736 | + | 0.520184i | ||||
\(226\) | −0.550975 | + | 0.758353i | −0.0366503 | + | 0.0504449i | ||||
\(227\) | 15.9232 | + | 14.3374i | 1.05686 | + | 0.951604i | 0.998908 | − | 0.0467153i | \(-0.0148754\pi\) |
0.0579549 | + | 0.998319i | \(0.481542\pi\) | |||||||
\(228\) | 4.87085 | − | 10.9401i | 0.322580 | − | 0.724526i | ||||
\(229\) | −22.9397 | + | 7.45357i | −1.51590 | + | 0.492546i | −0.944608 | − | 0.328201i | \(-0.893558\pi\) |
−0.571293 | + | 0.820746i | \(0.693558\pi\) | |||||||
\(230\) | −2.07545 | + | 0.441151i | −0.136851 | + | 0.0290887i | ||||
\(231\) | 0.249604 | − | 0.111131i | 0.0164228 | − | 0.00731188i | ||||
\(232\) | 5.66527 | − | 5.10103i | 0.371943 | − | 0.334899i | ||||
\(233\) | 4.72224 | − | 14.5335i | 0.309364 | − | 0.952124i | −0.668649 | − | 0.743578i | \(-0.733127\pi\) |
0.978013 | − | 0.208546i | \(-0.0668730\pi\) | |||||||
\(234\) | −0.859559 | + | 1.54173i | −0.0561911 | + | 0.100786i | ||||
\(235\) | −6.63168 | + | 20.4102i | −0.432603 | + | 1.33142i | ||||
\(236\) | 1.65499 | − | 7.78612i | 0.107731 | − | 0.506833i | ||||
\(237\) | 0.891547 | + | 8.48250i | 0.0579122 | + | 0.550998i | ||||
\(238\) | −0.758203 | + | 0.842070i | −0.0491470 | + | 0.0545833i | ||||
\(239\) | 6.42393 | − | 8.84178i | 0.415529 | − | 0.571927i | −0.549027 | − | 0.835805i | \(-0.685002\pi\) |
0.964556 | + | 0.263878i | \(0.0850016\pi\) | |||||||
\(240\) | −11.1754 | − | 1.17458i | −0.721368 | − | 0.0758188i | ||||
\(241\) | −9.46559 | + | 21.2601i | −0.609732 | + | 1.36948i | 0.299862 | + | 0.953983i | \(0.403059\pi\) |
−0.909594 | + | 0.415498i | \(0.863607\pi\) | |||||||
\(242\) | − | 2.74388i | − | 0.176383i | ||||||
\(243\) | −7.92384 | − | 13.7245i | −0.508315 | − | 0.880427i | ||||
\(244\) | 1.73912 | + | 16.5466i | 0.111336 | + | 1.05929i | ||||
\(245\) | −14.6071 | + | 13.1523i | −0.933216 | + | 0.840272i | ||||
\(246\) | −0.211959 | − | 0.652342i | −0.0135140 | − | 0.0415918i | ||||
\(247\) | 17.2980 | − | 12.9684i | 1.10065 | − | 0.825157i | ||||
\(248\) | −5.09077 | + | 2.19088i | −0.323264 | + | 0.139121i | ||||
\(249\) | 11.7698 | + | 6.79529i | 0.745880 | + | 0.430634i | ||||
\(250\) | −0.704920 | − | 0.149835i | −0.0445831 | − | 0.00947642i | ||||
\(251\) | 27.7455 | − | 5.89750i | 1.75128 | − | 0.372247i | 0.782984 | − | 0.622042i | \(-0.213697\pi\) |
0.968299 | + | 0.249795i | \(0.0803632\pi\) | |||||||
\(252\) | 1.50578 | + | 2.07253i | 0.0948555 | + | 0.130557i | ||||
\(253\) | −0.935758 | + | 0.540260i | −0.0588306 | + | 0.0339659i | ||||
\(254\) | 4.03913 | − | 2.33199i | 0.253437 | − | 0.146322i | ||||
\(255\) | 11.9589 | + | 16.4600i | 0.748893 | + | 1.03076i | ||||
\(256\) | −1.16291 | + | 11.0643i | −0.0726818 | + | 0.691521i | ||||
\(257\) | −14.1057 | + | 6.28027i | −0.879890 | + | 0.391752i | −0.796410 | − | 0.604757i | \(-0.793270\pi\) |
−0.0834804 | + | 0.996509i | \(0.526604\pi\) | |||||||
\(258\) | −0.195273 | + | 0.918689i | −0.0121572 | + | 0.0571951i | ||||
\(259\) | −6.03629 | + | 4.38562i | −0.375077 | + | 0.272509i | ||||
\(260\) | −17.1749 | − | 12.0891i | −1.06514 | − | 0.749734i | ||||
\(261\) | −4.58140 | + | 14.1001i | −0.283581 | + | 0.872773i | ||||
\(262\) | −0.505415 | − | 1.13518i | −0.0312247 | − | 0.0701317i | ||||
\(263\) | −1.76244 | − | 1.95739i | −0.108677 | − | 0.120698i | 0.686352 | − | 0.727269i | \(-0.259211\pi\) |
−0.795029 | + | 0.606572i | \(0.792544\pi\) | |||||||
\(264\) | 0.389195 | − | 0.0827260i | 0.0239533 | − | 0.00509144i | ||||
\(265\) | 15.1792 | − | 20.8923i | 0.932448 | − | 1.28340i | ||||
\(266\) | 0.215502 | + | 1.01386i | 0.0132133 | + | 0.0621637i | ||||
\(267\) | 0.234760 | + | 0.211379i | 0.0143671 | + | 0.0129362i | ||||
\(268\) | −3.35054 | − | 4.61163i | −0.204667 | − | 0.281700i | ||||
\(269\) | 11.8053 | − | 13.1111i | 0.719781 | − | 0.799398i | −0.266612 | − | 0.963804i | \(-0.585904\pi\) |
0.986393 | + | 0.164406i | \(0.0525707\pi\) | |||||||
\(270\) | −3.53940 | + | 1.57584i | −0.215401 | + | 0.0959027i | ||||
\(271\) | 4.06900 | + | 9.13913i | 0.247174 | + | 0.555163i | 0.993940 | − | 0.109925i | \(-0.0350609\pi\) |
−0.746766 | + | 0.665087i | \(0.768394\pi\) | |||||||
\(272\) | 19.1992 | − | 13.9490i | 1.16412 | − | 0.845783i | ||||
\(273\) | −0.303624 | − | 2.52415i | −0.0183761 | − | 0.152769i | ||||
\(274\) | 0.576385 | 0.0348207 | ||||||||
\(275\) | 1.56184 | − | 0.164156i | 0.0941828 | − | 0.00989901i | ||||
\(276\) | 3.72652 | + | 4.13872i | 0.224310 | + | 0.249122i | ||||
\(277\) | −8.08831 | + | 8.98297i | −0.485979 | + | 0.539735i | −0.935403 | − | 0.353584i | \(-0.884963\pi\) |
0.449423 | + | 0.893319i | \(0.351629\pi\) | |||||||
\(278\) | 3.07903i | 0.184668i | ||||||||
\(279\) | 6.44360 | − | 8.64012i | 0.385768 | − | 0.517271i | ||||
\(280\) | 1.77290 | − | 1.02359i | 0.105951 | − | 0.0611710i | ||||
\(281\) | 3.26216 | − | 1.05994i | 0.194604 | − | 0.0632307i | −0.210093 | − | 0.977681i | \(-0.567377\pi\) |
0.404697 | + | 0.914451i | \(0.367377\pi\) | |||||||
\(282\) | −1.82011 | + | 0.386875i | −0.108386 | + | 0.0230381i | ||||
\(283\) | 1.32568 | + | 12.6130i | 0.0788034 | + | 0.749764i | 0.960563 | + | 0.278064i | \(0.0896927\pi\) |
−0.881759 | + | 0.471700i | \(0.843641\pi\) | |||||||
\(284\) | −21.5571 | − | 12.4460i | −1.27918 | − | 0.738533i | ||||
\(285\) | 18.6110 | 1.10242 | ||||||||
\(286\) | 0.337629 | + | 0.104133i | 0.0199644 | + | 0.00615750i | ||||
\(287\) | −1.45392 | − | 1.05634i | −0.0858223 | − | 0.0623536i | ||||
\(288\) | 2.28842 | + | 5.13988i | 0.134847 | + | 0.302870i | ||||
\(289\) | −25.4008 | − | 5.39911i | −1.49416 | − | 0.317595i | ||||
\(290\) | 5.32367 | + | 2.37025i | 0.312617 | + | 0.139186i | ||||
\(291\) | 17.0281 | − | 5.53277i | 0.998207 | − | 0.324337i | ||||
\(292\) | −4.66157 | − | 21.9310i | −0.272798 | − | 1.28341i | ||||
\(293\) | 1.60287 | + | 0.168468i | 0.0936406 | + | 0.00984202i | 0.151233 | − | 0.988498i | \(-0.451676\pi\) |
−0.0575923 | + | 0.998340i | \(0.518342\pi\) | |||||||
\(294\) | −1.62087 | − | 0.526654i | −0.0945313 | − | 0.0307151i | ||||
\(295\) | 12.1004 | − | 2.57202i | 0.704512 | − | 0.149749i | ||||
\(296\) | −9.92623 | + | 4.41944i | −0.576950 | + | 0.256875i | ||||
\(297\) | −1.46621 | + | 1.32018i | −0.0850783 | + | 0.0766048i | ||||
\(298\) | −0.911373 | − | 2.80492i | −0.0527944 | − | 0.162485i | ||||
\(299\) | 2.23758 | + | 9.80201i | 0.129403 | + | 0.566865i | ||||
\(300\) | −2.50130 | − | 7.69821i | −0.144413 | − | 0.444456i | ||||
\(301\) | 1.00090 | + | 2.24807i | 0.0576911 | + | 0.129576i | ||||
\(302\) | −0.141568 | + | 0.0630302i | −0.00814633 | + | 0.00362698i | ||||
\(303\) | 1.88993 | + | 0.841451i | 0.108574 | + | 0.0483401i | ||||
\(304\) | − | 21.7082i | − | 1.24505i | ||||||
\(305\) | −22.3926 | + | 12.9283i | −1.28219 | + | 0.740275i | ||||
\(306\) | 1.30526 | − | 2.93167i | 0.0746169 | − | 0.167592i | ||||
\(307\) | −9.56717 | − | 3.10856i | −0.546027 | − | 0.177415i | 0.0229974 | − | 0.999736i | \(-0.492679\pi\) |
−0.569025 | + | 0.822321i | \(0.692679\pi\) | |||||||
\(308\) | 0.343119 | − | 0.381072i | 0.0195510 | − | 0.0217136i | ||||
\(309\) | 9.48002 | − | 16.4199i | 0.539300 | − | 0.934094i | ||||
\(310\) | −3.11279 | − | 2.87388i | −0.176794 | − | 0.163225i | ||||
\(311\) | −28.8367 | −1.63518 | −0.817591 | − | 0.575800i | \(-0.804691\pi\) | ||||
−0.817591 | + | 0.575800i | \(0.804691\pi\) | |||||||
\(312\) | 0.331755 | − | 3.68745i | 0.0187819 | − | 0.208761i | ||||
\(313\) | −7.98599 | + | 24.5784i | −0.451395 | + | 1.38925i | 0.423921 | + | 0.905699i | \(0.360654\pi\) |
−0.875316 | + | 0.483552i | \(0.839346\pi\) | |||||||
\(314\) | −4.91747 | + | 0.516847i | −0.277509 | + | 0.0291674i | ||||
\(315\) | −1.99064 | + | 3.44789i | −0.112160 | + | 0.194267i | ||||
\(316\) | 8.00371 | + | 13.8628i | 0.450244 | + | 0.779845i | ||||
\(317\) | −12.8753 | − | 17.7213i | −0.723149 | − | 0.995329i | −0.999413 | − | 0.0342477i | \(-0.989097\pi\) |
0.276264 | − | 0.961082i | \(-0.410903\pi\) | |||||||
\(318\) | 2.22687 | + | 0.234053i | 0.124877 | + | 0.0131250i | ||||
\(319\) | 2.95134 | + | 0.310198i | 0.165243 | + | 0.0173678i | ||||
\(320\) | −18.6163 | + | 6.04881i | −1.04068 | + | 0.338139i | ||||
\(321\) | −7.24791 | − | 3.22698i | −0.404539 | − | 0.180112i | ||||
\(322\) | −0.471497 | − | 0.100220i | −0.0262755 | − | 0.00558503i | ||||
\(323\) | −29.2092 | + | 26.3001i | −1.62524 | + | 1.46338i | ||||
\(324\) | −0.869282 | − | 0.631570i | −0.0482934 | − | 0.0350872i | ||||
\(325\) | 2.82356 | − | 14.3375i | 0.156623 | − | 0.795302i | ||||
\(326\) | −0.109850 | + | 0.338084i | −0.00608403 | + | 0.0187247i | ||||
\(327\) | −3.35423 | − | 7.53372i | −0.185489 | − | 0.416616i | ||||
\(328\) | −1.75120 | − | 1.94491i | −0.0966939 | − | 0.107389i | ||||
\(329\) | −3.26226 | + | 3.62310i | −0.179854 | + | 0.199748i | ||||
\(330\) | 0.178779 | + | 0.246068i | 0.00984144 | + | 0.0135456i | ||||
\(331\) | −2.26854 | − | 2.04260i | −0.124690 | − | 0.112272i | 0.604427 | − | 0.796661i | \(-0.293402\pi\) |
−0.729117 | + | 0.684389i | \(0.760069\pi\) | |||||||
\(332\) | 25.3667 | + | 2.66615i | 1.39218 | + | 0.146324i | ||||
\(333\) | 12.4206 | − | 17.0954i | 0.680643 | − | 0.936824i | ||||
\(334\) | −1.90171 | − | 0.846697i | −0.104057 | − | 0.0463292i | ||||
\(335\) | 4.42940 | − | 7.67195i | 0.242004 | − | 0.419163i | ||||
\(336\) | −2.21078 | − | 1.27639i | −0.120608 | − | 0.0696329i | ||||
\(337\) | 14.1222 | − | 10.2604i | 0.769283 | − | 0.558917i | −0.132460 | − | 0.991188i | \(-0.542288\pi\) |
0.901744 | + | 0.432271i | \(0.142288\pi\) | |||||||
\(338\) | 1.85182 | − | 2.71650i | 0.100726 | − | 0.147758i | ||||
\(339\) | 1.18157 | + | 3.63649i | 0.0641739 | + | 0.197507i | ||||
\(340\) | 33.0684 | + | 19.0921i | 1.79339 | + | 1.03541i | ||||
\(341\) | −1.95982 | − | 0.902028i | −0.106130 | − | 0.0488476i | ||||
\(342\) | −1.46775 | − | 2.54222i | −0.0793670 | − | 0.137468i | ||||
\(343\) | −8.79737 | + | 2.85844i | −0.475014 | + | 0.154341i | ||||
\(344\) | 0.745074 | + | 3.50530i | 0.0401717 | + | 0.188993i | ||||
\(345\) | −3.52034 | + | 7.90681i | −0.189529 | + | 0.425688i | ||||
\(346\) | − | 0.808089i | − | 0.0434431i | ||||||
\(347\) | 7.17137 | + | 12.4212i | 0.384979 | + | 0.666804i | 0.991766 | − | 0.128061i | \(-0.0408752\pi\) |
−0.606787 | + | 0.794865i | \(0.707542\pi\) | |||||||
\(348\) | −1.59882 | − | 15.2118i | −0.0857057 | − | 0.815435i | ||||
\(349\) | 2.95497 | + | 6.63698i | 0.158176 | + | 0.355269i | 0.975197 | − | 0.221339i | \(-0.0710427\pi\) |
−0.817021 | + | 0.576608i | \(0.804376\pi\) | |||||||
\(350\) | 0.566791 | + | 0.411798i | 0.0302963 | + | 0.0220115i | ||||
\(351\) | 7.71765 | + | 16.6575i | 0.411938 | + | 0.889109i | ||||
\(352\) | 0.911108 | − | 0.661959i | 0.0485622 | − | 0.0352825i | ||||
\(353\) | 1.95044 | − | 9.17610i | 0.103811 | − | 0.488394i | −0.895269 | − | 0.445525i | \(-0.853017\pi\) |
0.999081 | − | 0.0428689i | \(-0.0136498\pi\) | |||||||
\(354\) | 0.717723 | + | 0.797112i | 0.0381465 | + | 0.0423660i | ||||
\(355\) | 4.04364 | − | 38.4726i | 0.214614 | − | 2.04191i | ||||
\(356\) | 0.563858 | + | 0.183208i | 0.0298844 | + | 0.00971003i | ||||
\(357\) | 0.960984 | + | 4.52107i | 0.0508607 | + | 0.239281i | ||||
\(358\) | 3.02330 | + | 0.317762i | 0.159786 | + | 0.0167942i | ||||
\(359\) | −34.6698 | − | 11.2649i | −1.82980 | − | 0.594538i | −0.999296 | − | 0.0375249i | \(-0.988053\pi\) |
−0.830504 | − | 0.557013i | \(-0.811947\pi\) | |||||||
\(360\) | −3.87949 | + | 4.30861i | −0.204467 | + | 0.227084i | ||||
\(361\) | 1.77215 | + | 16.8609i | 0.0932712 | + | 0.887417i | ||||
\(362\) | −0.0218390 | + | 0.102744i | −0.00114783 | + | 0.00540013i | ||||
\(363\) | −9.05493 | − | 6.57879i | −0.475261 | − | 0.345297i | ||||
\(364\) | −2.44738 | − | 4.09593i | −0.128278 | − | 0.214685i | ||||
\(365\) | 28.1896 | − | 20.4810i | 1.47551 | − | 1.07202i | ||||
\(366\) | −1.94158 | − | 1.12097i | −0.101488 | − | 0.0585941i | ||||
\(367\) | 5.40048 | − | 9.35390i | 0.281903 | − | 0.488270i | −0.689951 | − | 0.723856i | \(-0.742368\pi\) |
0.971853 | + | 0.235587i | \(0.0757012\pi\) | |||||||
\(368\) | 9.22264 | + | 4.10618i | 0.480763 | + | 0.214050i | ||||
\(369\) | 4.84061 | + | 1.57281i | 0.251992 | + | 0.0818771i | ||||
\(370\) | −6.17250 | − | 5.55775i | −0.320893 | − | 0.288934i | ||||
\(371\) | 5.08072 | − | 2.93336i | 0.263778 | − | 0.152292i | ||||
\(372\) | −2.44744 | + | 10.8472i | −0.126894 | + | 0.562400i | ||||
\(373\) | −2.03719 | − | 3.52852i | −0.105482 | − | 0.182700i | 0.808453 | − | 0.588560i | \(-0.200305\pi\) |
−0.913935 | + | 0.405861i | \(0.866972\pi\) | |||||||
\(374\) | −0.628316 | − | 0.133553i | −0.0324895 | − | 0.00690585i | ||||
\(375\) | −2.18460 | + | 1.96702i | −0.112812 | + | 0.101576i | ||||
\(376\) | −5.74389 | + | 4.17318i | −0.296219 | + | 0.215215i | ||||
\(377\) | 10.8519 | − | 25.3915i | 0.558900 | − | 1.30773i | ||||
\(378\) | −0.880168 | −0.0452709 | ||||||||
\(379\) | 21.6404 | − | 2.27450i | 1.11159 | − | 0.116833i | 0.469114 | − | 0.883137i | \(-0.344573\pi\) |
0.642478 | + | 0.766304i | \(0.277907\pi\) | |||||||
\(380\) | 31.9089 | − | 14.2067i | 1.63689 | − | 0.728790i | ||||
\(381\) | 1.98863 | − | 18.9205i | 0.101881 | − | 0.969328i | ||||
\(382\) | 1.40643 | − | 0.456976i | 0.0719591 | − | 0.0233809i | ||||
\(383\) | 6.27234 | − | 14.0879i | 0.320502 | − | 0.719858i | −0.679402 | − | 0.733766i | \(-0.737761\pi\) |
0.999903 | + | 0.0139083i | \(0.00442729\pi\) | |||||||
\(384\) | −5.71744 | − | 5.14800i | −0.291767 | − | 0.262708i | ||||
\(385\) | 0.757911 | + | 0.246260i | 0.0386267 | + | 0.0125506i | ||||
\(386\) | 0.236213 | − | 2.24742i | 0.0120229 | − | 0.114390i | ||||
\(387\) | −4.66337 | − | 5.17920i | −0.237052 | − | 0.263273i | ||||
\(388\) | 24.9716 | − | 22.4845i | 1.26774 | − | 1.14148i | ||||
\(389\) | −3.82197 | − | 2.77682i | −0.193782 | − | 0.140791i | 0.486664 | − | 0.873589i | \(-0.338214\pi\) |
−0.680445 | + | 0.732799i | \(0.738214\pi\) | |||||||
\(390\) | 2.67822 | − | 0.914820i | 0.135617 | − | 0.0463237i | ||||
\(391\) | −5.64846 | − | 17.3842i | −0.285655 | − | 0.879156i | ||||
\(392\) | −6.46716 | + | 0.679726i | −0.326641 | + | 0.0343313i | ||||
\(393\) | −4.95795 | − | 1.05384i | −0.250095 | − | 0.0531594i | ||||
\(394\) | 0.469517 | − | 4.46715i | 0.0236539 | − | 0.225052i | ||||
\(395\) | −14.6224 | + | 20.1260i | −0.735732 | + | 1.01265i | ||||
\(396\) | −0.590686 | + | 1.32670i | −0.0296831 | + | 0.0666693i | ||||
\(397\) | −18.0996 | + | 10.4498i | −0.908395 | + | 0.524462i | −0.879914 | − | 0.475132i | \(-0.842400\pi\) |
−0.0284806 | + | 0.999594i | \(0.509067\pi\) | |||||||
\(398\) | 5.14497i | 0.257894i | ||||||||
\(399\) | 3.86247 | + | 1.71968i | 0.193366 | + | 0.0860919i | ||||
\(400\) | −9.81808 | − | 10.9041i | −0.490904 | − | 0.545204i | ||||
\(401\) | −4.85138 | + | 22.8240i | −0.242267 | + | 1.13977i | 0.673852 | + | 0.738867i | \(0.264639\pi\) |
−0.916118 | + | 0.400908i | \(0.868695\pi\) | |||||||
\(402\) | 0.768115 | 0.0383101 | ||||||||
\(403\) | −13.3951 | + | 14.9523i | −0.667257 | + | 0.744828i | ||||
\(404\) | 3.88264 | 0.193168 | ||||||||
\(405\) | 0.347184 | − | 1.63337i | 0.0172517 | − | 0.0811630i | ||||
\(406\) | 0.885845 | + | 0.983831i | 0.0439638 | + | 0.0488267i | ||||
\(407\) | −3.86404 | − | 1.72038i | −0.191534 | − | 0.0852762i | ||||
\(408\) | 6.73098i | 0.333233i | ||||||||
\(409\) | −0.0956802 | + | 0.0552410i | −0.00473108 | + | 0.00273149i | −0.502364 | − | 0.864656i | \(-0.667536\pi\) |
0.497633 | + | 0.867388i | \(0.334203\pi\) | |||||||
\(410\) | 0.813714 | − | 1.82763i | 0.0401865 | − | 0.0902603i | ||||
\(411\) | 1.38195 | − | 1.90210i | 0.0681668 | − | 0.0938235i | ||||
\(412\) | 3.71951 | − | 35.3888i | 0.183247 | − | 1.74348i | ||||
\(413\) | 2.74894 | + | 0.584305i | 0.135267 | + | 0.0287518i | ||||
\(414\) | 1.35768 | − | 0.142698i | 0.0667266 | − | 0.00701324i | ||||
\(415\) | 12.2493 | + | 37.6994i | 0.601293 | + | 1.85059i | ||||
\(416\) | −3.38728 | − | 9.91657i | −0.166075 | − | 0.486200i | ||||
\(417\) | 10.1610 | + | 7.38237i | 0.497584 | + | 0.361516i | ||||
\(418\) | −0.436662 | + | 0.393172i | −0.0213578 | + | 0.0192307i | ||||
\(419\) | 11.0192 | + | 12.2381i | 0.538323 | + | 0.597869i | 0.949531 | − | 0.313673i | \(-0.101560\pi\) |
−0.411208 | + | 0.911542i | \(0.634893\pi\) | |||||||
\(420\) | 0.429345 | − | 4.08495i | 0.0209499 | − | 0.199325i | ||||
\(421\) | −21.5611 | − | 7.00563i | −1.05082 | − | 0.341433i | −0.267832 | − | 0.963466i | \(-0.586307\pi\) |
−0.782992 | + | 0.622032i | \(0.786307\pi\) | |||||||
\(422\) | −0.354437 | − | 0.319136i | −0.0172537 | − | 0.0155353i | ||||
\(423\) | 5.61604 | − | 12.6138i | 0.273061 | − | 0.613305i | ||||
\(424\) | 8.12536 | − | 2.64009i | 0.394602 | − | 0.128214i | ||||
\(425\) | −2.77698 | + | 26.4212i | −0.134703 | + | 1.28162i | ||||
\(426\) | 3.06421 | − | 1.36427i | 0.148462 | − | 0.0660993i | ||||
\(427\) | −5.84189 | + | 0.614007i | −0.282709 | + | 0.0297139i | ||||
\(428\) | −14.8900 | −0.719734 | ||||||||
\(429\) | 1.15315 | − | 0.864520i | 0.0556746 | − | 0.0417394i | ||||
\(430\) | −2.21621 | + | 1.61017i | −0.106875 | + | 0.0776495i | ||||
\(431\) | 1.03606 | − | 0.932875i | 0.0499054 | − | 0.0449350i | −0.643801 | − | 0.765193i | \(-0.722643\pi\) |
0.693706 | + | 0.720258i | \(0.255977\pi\) | |||||||
\(432\) | 18.0310 | + | 3.83261i | 0.867517 | + | 0.184396i | ||||
\(433\) | 6.80917 | + | 11.7938i | 0.327228 | + | 0.566775i | 0.981961 | − | 0.189085i | \(-0.0605522\pi\) |
−0.654733 | + | 0.755860i | \(0.727219\pi\) | |||||||
\(434\) | −0.380469 | − | 0.884063i | −0.0182631 | − | 0.0424364i | ||||
\(435\) | 20.5861 | − | 11.8854i | 0.987028 | − | 0.569861i | ||||
\(436\) | −11.5018 | − | 10.3562i | −0.550834 | − | 0.495974i | ||||
\(437\) | −15.9020 | − | 5.16688i | −0.760698 | − | 0.247166i | ||||
\(438\) | 2.76002 | + | 1.22884i | 0.131879 | + | 0.0587163i | ||||
\(439\) | 10.8256 | − | 18.7505i | 0.516677 | − | 0.894910i | −0.483136 | − | 0.875545i | \(-0.660502\pi\) |
0.999812 | − | 0.0193649i | \(-0.00616442\pi\) | |||||||
\(440\) | 1.00504 | + | 0.580261i | 0.0479135 | + | 0.0276629i | ||||
\(441\) | 10.2312 | − | 7.43338i | 0.487198 | − | 0.353970i | ||||
\(442\) | −2.91059 | + | 5.22050i | −0.138442 | + | 0.248314i | ||||
\(443\) | 27.8765 | + | 20.2535i | 1.32445 | + | 0.962271i | 0.999865 | + | 0.0164157i | \(0.00522552\pi\) |
0.324588 | + | 0.945856i | \(0.394774\pi\) | |||||||
\(444\) | −4.53264 | + | 21.3244i | −0.215109 | + | 1.01201i | ||||
\(445\) | 0.0963110 | + | 0.916338i | 0.00456558 | + | 0.0434386i | ||||
\(446\) | −0.898842 | + | 0.998265i | −0.0425614 | + | 0.0472692i | ||||
\(447\) | −11.4415 | − | 3.71757i | −0.541164 | − | 0.175835i | ||||
\(448\) | −4.42250 | − | 0.464823i | −0.208943 | − | 0.0219608i | ||||
\(449\) | −2.78181 | − | 13.0874i | −0.131282 | − | 0.617631i | −0.993760 | − | 0.111538i | \(-0.964422\pi\) |
0.862479 | − | 0.506094i | \(-0.168911\pi\) | |||||||
\(450\) | −1.88704 | − | 0.613137i | −0.0889560 | − | 0.0289036i | ||||
\(451\) | 0.106492 | − | 1.01320i | 0.00501452 | − | 0.0477099i | ||||
\(452\) | 4.80174 | + | 5.33287i | 0.225855 | + | 0.250837i | ||||
\(453\) | −0.131425 | + | 0.618304i | −0.00617487 | + | 0.0290505i | ||||
\(454\) | −4.38386 | + | 3.18506i | −0.205745 | + | 0.149482i | ||||
\(455\) | 4.26814 | − | 6.06372i | 0.200093 | − | 0.284272i | ||||
\(456\) | 4.98121 | + | 3.61906i | 0.233266 | + | 0.169478i | ||||
\(457\) | −6.10489 | − | 13.7118i | −0.285575 | − | 0.641412i | 0.712615 | − | 0.701556i | \(-0.247511\pi\) |
−0.998190 | + | 0.0601437i | \(0.980844\pi\) | |||||||
\(458\) | −0.637614 | − | 6.06649i | −0.0297937 | − | 0.283469i | ||||
\(459\) | −16.6882 | − | 28.9047i | −0.778937 | − | 1.34916i | ||||
\(460\) | 16.2436i | 0.757363i | ||||||||
\(461\) | −0.696100 | + | 1.56347i | −0.0324206 | + | 0.0728179i | −0.929030 | − | 0.370005i | \(-0.879356\pi\) |
0.896609 | + | 0.442822i | \(0.146023\pi\) | |||||||
\(462\) | 0.0143662 | + | 0.0675877i | 0.000668376 | + | 0.00314446i | ||||
\(463\) | 19.1026 | − | 6.20682i | 0.887774 | − | 0.288455i | 0.170592 | − | 0.985342i | \(-0.445432\pi\) |
0.717182 | + | 0.696886i | \(0.245432\pi\) | |||||||
\(464\) | −13.8633 | − | 24.0120i | −0.643588 | − | 1.11473i | ||||
\(465\) | −16.9472 | + | 3.38187i | −0.785909 | + | 0.156830i | ||||
\(466\) | 3.34686 | + | 1.93231i | 0.155040 | + | 0.0895125i | ||||
\(467\) | −11.7810 | − | 36.2583i | −0.545161 | − | 1.67783i | −0.720607 | − | 0.693343i | \(-0.756137\pi\) |
0.175447 | − | 0.984489i | \(-0.443863\pi\) | |||||||
\(468\) | 10.1766 | + | 8.89049i | 0.470416 | + | 0.410963i | ||||
\(469\) | 1.62817 | − | 1.18293i | 0.0751817 | − | 0.0546227i | ||||
\(470\) | −4.70016 | − | 2.71364i | −0.216802 | − | 0.125171i | ||||
\(471\) | −10.0846 | + | 17.4671i | −0.464675 | + | 0.804841i | ||||
\(472\) | 3.73880 | + | 1.66462i | 0.172092 | + | 0.0766204i | ||||
\(473\) | −0.819968 | + | 1.12859i | −0.0377022 | + | 0.0518926i | ||||
\(474\) | −2.14519 | − | 0.225468i | −0.0985317 | − | 0.0103561i | ||||
\(475\) | 18.0597 | + | 16.2610i | 0.828636 | + | 0.746107i | ||||
\(476\) | 5.09879 | + | 7.01789i | 0.233703 | + | 0.321664i | ||||
\(477\) | −11.1177 | + | 12.3475i | −0.509045 | + | 0.565352i | ||||
\(478\) | 1.84941 | + | 2.05398i | 0.0845902 | + | 0.0939469i | ||||
\(479\) | −9.55994 | − | 21.4720i | −0.436805 | − | 0.981080i | −0.989075 | − | 0.147415i | \(-0.952905\pi\) |
0.552270 | − | 0.833665i | \(-0.313762\pi\) | |||||||
\(480\) | 2.78762 | − | 8.57940i | 0.127237 | − | 0.391594i | ||||
\(481\) | −25.8937 | + | 29.6397i | −1.18065 | + | 1.35145i | ||||
\(482\) | −4.76138 | − | 3.45935i | −0.216875 | − | 0.157569i | ||||
\(483\) | −1.46120 | + | 1.31567i | −0.0664871 | + | 0.0598652i | ||||
\(484\) | −20.5468 | − | 4.36735i | −0.933944 | − | 0.198516i | ||||
\(485\) | 47.7069 | + | 21.2405i | 2.16626 | + | 0.964480i | ||||
\(486\) | 3.81165 | − | 1.23848i | 0.172900 | − | 0.0561786i | ||||
\(487\) | −18.9895 | − | 1.99588i | −0.860498 | − | 0.0904420i | −0.336008 | − | 0.941859i | \(-0.609077\pi\) |
−0.524489 | + | 0.851417i | \(0.675744\pi\) | |||||||
\(488\) | −8.50736 | − | 0.894160i | −0.385110 | − | 0.0404767i | ||||
\(489\) | 0.852313 | + | 1.17311i | 0.0385429 | + | 0.0530498i | ||||
\(490\) | −2.48544 | − | 4.30490i | −0.112281 | − | 0.194476i | ||||
\(491\) | −16.3879 | + | 28.3846i | −0.739575 | + | 1.28098i | 0.213112 | + | 0.977028i | \(0.431640\pi\) |
−0.952687 | + | 0.303953i | \(0.901693\pi\) | |||||||
\(492\) | −5.22224 | + | 0.548880i | −0.235437 | + | 0.0247454i | ||||
\(493\) | −15.5132 | + | 47.7448i | −0.698681 | + | 2.15032i | ||||
\(494\) | 2.29845 | + | 4.96087i | 0.103412 | + | 0.223200i | ||||
\(495\) | −2.25695 | −0.101442 | ||||||||
\(496\) | 3.94467 | + | 19.7675i | 0.177121 | + | 0.887588i | ||||
\(497\) | 4.39414 | − | 7.61087i | 0.197104 | − | 0.341394i | ||||
\(498\) | −2.29980 | + | 2.55418i | −0.103056 | + | 0.114456i | ||||
\(499\) | −5.62659 | − | 1.82819i | −0.251881 | − | 0.0818410i | 0.180355 | − | 0.983602i | \(-0.442275\pi\) |
−0.432236 | + | 0.901761i | \(0.642275\pi\) | |||||||
\(500\) | −2.24400 | + | 5.04011i | −0.100355 | + | 0.225400i | ||||
\(501\) | −7.35374 | + | 4.24568i | −0.328541 | + | 0.189683i | ||||
\(502\) | 7.17348i | 0.320168i | ||||||||
\(503\) | 25.5902 | + | 11.3935i | 1.14101 | + | 0.508010i | 0.888178 | − | 0.459500i | \(-0.151971\pi\) |
0.252832 | + | 0.967510i | \(0.418638\pi\) | |||||||
\(504\) | −1.20326 | + | 0.535727i | −0.0535975 | + | 0.0238632i | ||||
\(505\) | 2.45425 | + | 5.51233i | 0.109213 | + | 0.245296i | ||||
\(506\) | −0.0844416 | − | 0.259884i | −0.00375389 | − | 0.0115533i | ||||
\(507\) | −4.52461 | − | 12.6242i | −0.200945 | − | 0.560662i | ||||
\(508\) | −11.0335 | − | 33.9576i | −0.489532 | − | 1.50663i | ||||
\(509\) | −28.2965 | + | 25.4783i | −1.25422 | + | 1.12931i | −0.268080 | + | 0.963397i | \(0.586389\pi\) |
−0.986141 | + | 0.165909i | \(0.946944\pi\) | |||||||
\(510\) | −4.70048 | + | 2.09279i | −0.208141 | + | 0.0926703i | ||||
\(511\) | 7.74287 | − | 1.64580i | 0.342525 | − | 0.0728058i | ||||
\(512\) | −16.8619 | − | 5.47875i | −0.745196 | − | 0.242129i | ||||
\(513\) | −30.3635 | − | 3.19133i | −1.34058 | − | 0.140901i | ||||
\(514\) | −0.811867 | − | 3.81954i | −0.0358099 | − | 0.168472i | ||||
\(515\) | 52.5939 | − | 17.0888i | 2.31757 | − | 0.753023i | ||||
\(516\) | 6.56853 | + | 2.92450i | 0.289164 | + | 0.128744i | ||||
\(517\) | −2.70340 | − | 0.574626i | −0.118895 | − | 0.0252720i | ||||
\(518\) | −0.767480 | − | 1.72379i | −0.0337211 | − | 0.0757389i | ||||
\(519\) | −2.66673 | − | 1.93749i | −0.117056 | − | 0.0850465i | ||||
\(520\) | 7.91567 | − | 7.34515i | 0.347125 | − | 0.322106i | ||||
\(521\) | −30.4143 | −1.33248 | −0.666238 | − | 0.745739i | \(-0.732096\pi\) | ||||
−0.666238 | + | 0.745739i | \(0.732096\pi\) | |||||||
\(522\) | −3.24704 | − | 1.87468i | −0.142119 | − | 0.0820524i | ||||
\(523\) | −0.763609 | − | 7.26526i | −0.0333903 | − | 0.317687i | −0.998450 | − | 0.0556572i | \(-0.982275\pi\) |
0.965060 | − | 0.262030i | \(-0.0843920\pi\) | |||||||
\(524\) | −9.30494 | + | 1.97783i | −0.406488 | + | 0.0864017i | ||||
\(525\) | 2.71790 | − | 0.883101i | 0.118619 | − | 0.0385417i | ||||
\(526\) | 0.576866 | − | 0.333054i | 0.0251526 | − | 0.0145218i | ||||
\(527\) | 21.8189 | − | 29.2566i | 0.950447 | − | 1.27444i | ||||
\(528\) | − | 1.44715i | − | 0.0629791i | ||||||
\(529\) | −10.1869 | + | 11.3137i | −0.442911 | + | 0.491902i | ||||
\(530\) | 4.36999 | + | 4.85337i | 0.189820 | + | 0.210817i | ||||
\(531\) | −7.91562 | + | 0.831965i | −0.343509 | + | 0.0361042i | ||||
\(532\) | 7.93500 | 0.344026 | ||||||||
\(533\) | −8.71699 | − | 3.72548i | −0.377575 | − | 0.161369i | ||||
\(534\) | −0.0646324 | + | 0.0469582i | −0.00279692 | + | 0.00203208i | ||||
\(535\) | −9.41208 | − | 21.1399i | −0.406920 | − | 0.913957i | ||||
\(536\) | 2.67740 | − | 1.19205i | 0.115646 | − | 0.0514889i | ||||
\(537\) | 8.29737 | − | 9.21516i | 0.358058 | − | 0.397663i | ||||
\(538\) | 2.62256 | + | 3.60965i | 0.113067 | + | 0.155623i | ||||
\(539\) | −1.88118 | − | 1.69382i | −0.0810282 | − | 0.0729581i | ||||
\(540\) | 6.16669 | + | 29.0120i | 0.265372 | + | 1.24848i | ||||
\(541\) | −5.61044 | + | 7.72210i | −0.241211 | + | 0.331999i | −0.912409 | − | 0.409279i | \(-0.865780\pi\) |
0.671198 | + | 0.741278i | \(0.265780\pi\) | |||||||
\(542\) | −2.47469 | + | 0.526011i | −0.106297 | + | 0.0225941i | ||||
\(543\) | 0.286700 | + | 0.318412i | 0.0123035 | + | 0.0136644i | ||||
\(544\) | 7.74891 | + | 17.4043i | 0.332232 | + | 0.746205i | ||||
\(545\) | 7.43279 | − | 22.8758i | 0.318386 | − | 0.979890i | ||||
\(546\) | 0.640362 | + | 0.0576126i | 0.0274050 | + | 0.00246559i | ||||
\(547\) | 10.3071 | − | 7.48853i | 0.440699 | − | 0.320186i | −0.345214 | − | 0.938524i | \(-0.612194\pi\) |
0.785912 | + | 0.618338i | \(0.212194\pi\) | |||||||
\(548\) | 0.917414 | − | 4.31609i | 0.0391900 | − | 0.184374i | ||||
\(549\) | 15.1977 | − | 6.76647i | 0.648624 | − | 0.288786i | ||||
\(550\) | −0.0415144 | + | 0.394983i | −0.00177018 | + | 0.0168422i | ||||
\(551\) | 26.9921 | + | 37.1515i | 1.14990 | + | 1.58271i | ||||
\(552\) | −2.47976 | + | 1.43169i | −0.105546 | + | 0.0609367i | ||||
\(553\) | −4.89437 | + | 2.82576i | −0.208130 | + | 0.120164i | ||||
\(554\) | −1.79683 | − | 2.47312i | −0.0763399 | − | 0.105073i | ||||
\(555\) | −33.1402 | + | 7.04416i | −1.40672 | + | 0.299008i | ||||
\(556\) | 23.0565 | + | 4.90080i | 0.977812 | + | 0.207840i | ||||
\(557\) | 19.7123 | + | 11.3809i | 0.835237 | + | 0.482224i | 0.855642 | − | 0.517567i | \(-0.173162\pi\) |
−0.0204053 | + | 0.999792i | \(0.506496\pi\) | |||||||
\(558\) | 1.79850 | + | 2.04824i | 0.0761364 | + | 0.0867091i | ||||
\(559\) | 7.78632 | + | 10.3859i | 0.329326 | + | 0.439276i | ||||
\(560\) | −2.30084 | − | 7.08126i | −0.0972283 | − | 0.299238i | ||||
\(561\) | −1.94720 | + | 1.75326i | −0.0822107 | + | 0.0740228i | ||||
\(562\) | 0.0906722 | + | 0.862688i | 0.00382478 | + | 0.0363903i | ||||
\(563\) | 6.18609 | + | 10.7146i | 0.260713 | + | 0.451567i | 0.966431 | − | 0.256925i | \(-0.0827092\pi\) |
−0.705719 | + | 0.708492i | \(0.749376\pi\) | |||||||
\(564\) | 14.2451i | 0.599828i | ||||||||
\(565\) | −4.53607 | + | 10.1882i | −0.190834 | + | 0.428620i | ||||
\(566\) | −3.18977 | − | 0.335258i | −0.134076 | − | 0.0140919i | ||||
\(567\) | 0.222980 | − | 0.306906i | 0.00936428 | − | 0.0128888i | ||||
\(568\) | 8.56359 | − | 9.51083i | 0.359320 | − | 0.399065i | ||||
\(569\) | 3.83588 | + | 36.4959i | 0.160808 | + | 1.52999i | 0.715902 | + | 0.698201i | \(0.246016\pi\) |
−0.555093 | + | 0.831788i | \(0.687317\pi\) | |||||||
\(570\) | −0.978565 | + | 4.60378i | −0.0409876 | + | 0.192831i | ||||
\(571\) | 4.05830 | − | 12.4902i | 0.169834 | − | 0.522697i | −0.829526 | − | 0.558469i | \(-0.811389\pi\) |
0.999360 | + | 0.0357721i | \(0.0113890\pi\) | |||||||
\(572\) | 1.31716 | − | 2.36249i | 0.0550733 | − | 0.0987808i | ||||
\(573\) | 1.86404 | − | 5.73693i | 0.0778715 | − | 0.239664i | ||||
\(574\) | 0.337752 | − | 0.304113i | 0.0140975 | − | 0.0126935i | ||||
\(575\) | −10.3245 | + | 4.59676i | −0.430561 | + | 0.191698i | ||||
\(576\) | 12.3188 | − | 2.61844i | 0.513282 | − | 0.109101i | ||||
\(577\) | 17.8309 | − | 5.79362i | 0.742311 | − | 0.241191i | 0.0866416 | − | 0.996240i | \(-0.472386\pi\) |
0.655669 | + | 0.755048i | \(0.272386\pi\) | |||||||
\(578\) | 2.67114 | − | 5.99949i | 0.111105 | − | 0.249546i | ||||
\(579\) | −6.85023 | − | 6.16797i | −0.284686 | − | 0.256332i | ||||
\(580\) | 26.2225 | − | 36.0921i | 1.08883 | − | 1.49864i | ||||
\(581\) | −0.941301 | + | 8.95588i | −0.0390517 | + | 0.371552i | ||||
\(582\) | 0.473300 | + | 4.50315i | 0.0196189 | + | 0.186661i | ||||
\(583\) | 2.88021 | + | 1.66289i | 0.119286 | + | 0.0688699i | ||||
\(584\) | 11.5276 | 0.477016 | ||||||||
\(585\) | −6.18942 | + | 20.0679i | −0.255901 | + | 0.829707i | ||||
\(586\) | −0.125953 | + | 0.387642i | −0.00520305 | + | 0.0160134i | ||||
\(587\) | −0.518621 | + | 2.43992i | −0.0214058 | + | 0.100706i | −0.987554 | − | 0.157283i | \(-0.949727\pi\) |
0.966148 | + | 0.257989i | \(0.0830599\pi\) | |||||||
\(588\) | −6.52359 | + | 11.2992i | −0.269028 | + | 0.465971i | ||||
\(589\) | −9.91972 | − | 31.8774i | −0.408735 | − | 1.31348i | ||||
\(590\) | 3.12850i | 0.128798i | ||||||||
\(591\) | −13.6161 | − | 12.2600i | −0.560091 | − | 0.504308i | ||||
\(592\) | 8.21643 | + | 38.6553i | 0.337693 | + | 1.58872i | ||||
\(593\) | 8.33313 | + | 11.4696i | 0.342201 | + | 0.470999i | 0.945083 | − | 0.326832i | \(-0.105981\pi\) |
−0.602882 | + | 0.797830i | \(0.705981\pi\) | |||||||
\(594\) | −0.249479 | − | 0.432111i | −0.0102363 | − | 0.0177297i | ||||
\(595\) | −6.74058 | + | 11.6750i | −0.276337 | + | 0.478629i | ||||
\(596\) | −22.4544 | + | 2.36006i | −0.919770 | + | 0.0966717i | ||||
\(597\) | 16.9786 | + | 12.3357i | 0.694890 | + | 0.504867i | ||||
\(598\) | −2.54237 | + | 0.0381194i | −0.103965 | + | 0.00155882i | ||||
\(599\) | 2.68116 | + | 8.25176i | 0.109549 | + | 0.337158i | 0.990771 | − | 0.135545i | \(-0.0432785\pi\) |
−0.881222 | + | 0.472703i | \(0.843279\pi\) | |||||||
\(600\) | 4.13889 | − | 0.435015i | 0.168969 | − | 0.0177594i | ||||
\(601\) | 12.0706 | + | 2.56569i | 0.492371 | + | 0.104657i | 0.447404 | − | 0.894332i | \(-0.352348\pi\) |
0.0449668 | + | 0.998988i | \(0.485682\pi\) | |||||||
\(602\) | −0.608730 | + | 0.129390i | −0.0248100 | + | 0.00527352i | ||||
\(603\) | −3.35019 | + | 4.61114i | −0.136430 | + | 0.187780i | ||||
\(604\) | 0.246654 | + | 1.16042i | 0.0100362 | + | 0.0472167i | ||||
\(605\) | −6.78729 | − | 31.9317i | −0.275943 | − | 1.29821i | ||||
\(606\) | −0.307521 | + | 0.423267i | −0.0124922 | + | 0.0171940i | ||||
\(607\) | −2.56275 | + | 0.544730i | −0.104019 | + | 0.0221099i | −0.259627 | − | 0.965709i | \(-0.583600\pi\) |
0.155608 | + | 0.987819i | \(0.450266\pi\) | |||||||
\(608\) | 17.0463 | + | 3.62330i | 0.691319 | + | 0.146944i | ||||
\(609\) | 5.37061 | − | 0.564474i | 0.217628 | − | 0.0228736i | ||||
\(610\) | −2.02068 | − | 6.21900i | −0.0818147 | − | 0.251800i | ||||
\(611\) | −12.5231 | + | 22.4618i | −0.506632 | + | 0.908707i | ||||
\(612\) | −19.8754 | − | 14.4403i | −0.803416 | − | 0.583716i | ||||
\(613\) | 7.07921 | − | 0.744055i | 0.285926 | − | 0.0300521i | 0.0395204 | − | 0.999219i | \(-0.487417\pi\) |
0.246406 | + | 0.969167i | \(0.420750\pi\) | |||||||
\(614\) | 1.27200 | − | 2.20317i | 0.0513339 | − | 0.0889129i | ||||
\(615\) | −4.08029 | − | 7.06727i | −0.164533 | − | 0.284980i | ||||
\(616\) | 0.154967 | + | 0.213293i | 0.00624378 | + | 0.00859383i | ||||
\(617\) | 0.305085 | + | 1.43531i | 0.0122823 | + | 0.0577835i | 0.983862 | − | 0.178929i | \(-0.0572633\pi\) |
−0.971580 | + | 0.236713i | \(0.923930\pi\) | |||||||
\(618\) | 3.56331 | + | 3.20842i | 0.143337 | + | 0.129062i | ||||
\(619\) | − | 1.74173i | − | 0.0700061i | −0.999387 | − | 0.0350031i | \(-0.988856\pi\) | ||
0.999387 | − | 0.0350031i | \(-0.0111441\pi\) | |||||||
\(620\) | −26.4748 | + | 18.7350i | −1.06325 | + | 0.752415i | ||||
\(621\) | 7.09919 | − | 12.2962i | 0.284881 | − | 0.493428i | ||||
\(622\) | 1.51623 | − | 7.13332i | 0.0607954 | − | 0.286020i | ||||
\(623\) | −0.0646830 | + | 0.199074i | −0.00259147 | + | 0.00797572i | ||||
\(624\) | −12.8675 | − | 3.96864i | −0.515112 | − | 0.158873i | ||||
\(625\) | −28.8385 | −1.15354 | ||||||||
\(626\) | −5.66003 | − | 3.26782i | −0.226220 | − | 0.130608i | ||||
\(627\) | 0.250535 | + | 2.38369i | 0.0100054 | + | 0.0951952i | ||||
\(628\) | −3.95673 | + | 37.6458i | −0.157891 | + | 1.50223i | ||||
\(629\) | 42.0577 | − | 57.8875i | 1.67695 | − | 2.30813i | ||||
\(630\) | −0.748234 | − | 0.673712i | −0.0298103 | − | 0.0268413i | ||||
\(631\) | −10.6464 | + | 23.9122i | −0.423826 | + | 0.951929i | 0.567845 | + | 0.823135i | \(0.307777\pi\) |
−0.991671 | + | 0.128794i | \(0.958889\pi\) | |||||||
\(632\) | −7.82733 | + | 2.54325i | −0.311354 | + | 0.101165i | ||||
\(633\) | −1.90297 | + | 0.404489i | −0.0756363 | + | 0.0160770i | ||||
\(634\) | 5.06069 | − | 2.25317i | 0.200986 | − | 0.0894847i | ||||
\(635\) | 41.2366 | − | 37.1296i | 1.63642 | − | 1.47344i | ||||
\(636\) | 5.29708 | − | 16.3027i | 0.210043 | − | 0.646445i | ||||
\(637\) | −20.2198 | + | 12.0816i | −0.801136 | + | 0.478692i | ||||
\(638\) | −0.231915 | + | 0.713760i | −0.00918159 | + | 0.0282580i | ||||
\(639\) | −5.17478 | + | 24.3454i | −0.204711 | + | 0.963091i | ||||
\(640\) | −2.34559 | − | 22.3168i | −0.0927177 | − | 0.882150i | ||||
\(641\) | −8.42192 | + | 9.35349i | −0.332646 | + | 0.369441i | −0.886144 | − | 0.463410i | \(-0.846626\pi\) |
0.553498 | + | 0.832850i | \(0.313293\pi\) | |||||||
\(642\) | 1.17935 | − | 1.62323i | 0.0465452 | − | 0.0640639i | ||||
\(643\) | 32.2612 | + | 3.39079i | 1.27226 | + | 0.133720i | 0.716478 | − | 0.697610i | \(-0.245753\pi\) |
0.555780 | + | 0.831329i | \(0.312420\pi\) | |||||||
\(644\) | −1.50094 | + | 3.37116i | −0.0591452 | + | 0.132842i | ||||
\(645\) | 11.1742i | 0.439984i | ||||||||
\(646\) | −4.97001 | − | 8.60831i | −0.195542 | − | 0.338690i | ||||
\(647\) | 0.892638 | + | 8.49288i | 0.0350932 | + | 0.333890i | 0.997956 | + | 0.0638997i | \(0.0203538\pi\) |
−0.962863 | + | 0.269990i | \(0.912980\pi\) | |||||||
\(648\) | 0.410546 | − | 0.369658i | 0.0161278 | − | 0.0145215i | ||||
\(649\) | 0.492314 | + | 1.51519i | 0.0193250 | + | 0.0594763i | ||||
\(650\) | 3.39820 | + | 1.45233i | 0.133288 | + | 0.0569650i | ||||
\(651\) | −3.82967 | − | 0.864087i | −0.150097 | − | 0.0338662i | ||||
\(652\) | 2.35680 | + | 1.36070i | 0.0922994 | + | 0.0532891i | ||||
\(653\) | 22.4975 | + | 4.78199i | 0.880394 | + | 0.187134i | 0.625865 | − | 0.779931i | \(-0.284746\pi\) |
0.254529 | + | 0.967065i | \(0.418079\pi\) | |||||||
\(654\) | 2.03997 | − | 0.433610i | 0.0797693 | − | 0.0169555i | ||||
\(655\) | −8.68973 | − | 11.9604i | −0.339536 | − | 0.467331i | ||||
\(656\) | −8.24339 | + | 4.75932i | −0.321850 | + | 0.185820i | ||||
\(657\) | −19.4150 | + | 11.2093i | −0.757453 | + | 0.437315i | ||||
\(658\) | −0.724714 | − | 0.997484i | −0.0282523 | − | 0.0388860i | ||||
\(659\) | −4.06171 | + | 38.6446i | −0.158222 | + | 1.50538i | 0.570914 | + | 0.821010i | \(0.306589\pi\) |
−0.729135 | + | 0.684370i | \(0.760078\pi\) | |||||||
\(660\) | 2.12717 | − | 0.947075i | 0.0827998 | − | 0.0368648i | ||||
\(661\) | 3.52225 | − | 16.5709i | 0.137000 | − | 0.644532i | −0.855035 | − | 0.518569i | \(-0.826465\pi\) |
0.992035 | − | 0.125963i | \(-0.0402019\pi\) | |||||||
\(662\) | 0.624557 | − | 0.453767i | 0.0242741 | − | 0.0176362i | ||||
\(663\) | 10.2494 | + | 22.1219i | 0.398054 | + | 0.859142i | ||||
\(664\) | −4.05245 | + | 12.4722i | −0.157266 | + | 0.484014i | ||||
\(665\) | 5.01578 | + | 11.2656i | 0.194504 | + | 0.436863i | ||||
\(666\) | 3.57581 | + | 3.97134i | 0.138560 | + | 0.153886i | ||||
\(667\) | −20.8893 | + | 4.44016i | −0.808838 | + | 0.171924i | ||||
\(668\) | −9.36715 | + | 12.8928i | −0.362426 | + | 0.498837i | ||||
\(669\) | 1.13924 | + | 5.35968i | 0.0440454 | + | 0.207217i | ||||
\(670\) | 1.66491 | + | 1.49909i | 0.0643209 | + | 0.0579148i | ||||
\(671\) | −1.95730 | − | 2.69399i | −0.0755606 | − | 0.104000i | ||||
\(672\) | 1.37128 | − | 1.52297i | 0.0528984 | − | 0.0587497i | ||||
\(673\) | −0.0255495 | + | 0.0113754i | −0.000984860 | + | 0.000438488i | −0.407229 | − | 0.913326i | \(-0.633505\pi\) |
0.406244 | + | 0.913765i | \(0.366838\pi\) | |||||||
\(674\) | 1.79555 | + | 4.03288i | 0.0691621 | + | 0.155341i | ||||
\(675\) | −16.6950 | + | 12.1296i | −0.642592 | + | 0.466870i | ||||
\(676\) | −17.3942 | − | 18.1906i | −0.669009 | − | 0.699638i | ||||
\(677\) | 19.2601 | 0.740226 | 0.370113 | − | 0.928987i | \(-0.379319\pi\) | ||||
0.370113 | + | 0.928987i | \(0.379319\pi\) | |||||||
\(678\) | −0.961682 | + | 0.101077i | −0.0369332 | + | 0.00388183i | ||||
\(679\) | 7.93830 | + | 8.81638i | 0.304644 | + | 0.338341i | ||||
\(680\) | −13.1365 | + | 14.5896i | −0.503762 | + | 0.559484i | ||||
\(681\) | 22.1035i | 0.847009i | ||||||||
\(682\) | 0.326181 | − | 0.437371i | 0.0124901 | − | 0.0167478i | ||||
\(683\) | 2.11657 | − | 1.22200i | 0.0809881 | − | 0.0467585i | −0.458959 | − | 0.888457i | \(-0.651778\pi\) |
0.539947 | + | 0.841699i | \(0.318444\pi\) | |||||||
\(684\) | −21.3729 | + | 6.94447i | −0.817213 | + | 0.265529i | ||||
\(685\) | 6.70763 | − | 1.42575i | 0.256286 | − | 0.0544752i | ||||
\(686\) | −0.244525 | − | 2.32650i | −0.00933599 | − | 0.0888260i | ||||
\(687\) | −21.5485 | − | 12.4410i | −0.822125 | − | 0.474654i | ||||
\(688\) | 13.0338 | 0.496908 | ||||||||
\(689\) | 22.6845 | − | 21.0495i | 0.864209 | − | 0.801921i | ||||
\(690\) | −1.77080 | − | 1.28656i | −0.0674133 | − | 0.0489786i | ||||
\(691\) | −11.7742 | − | 26.4454i | −0.447913 | − | 1.00603i | −0.986545 | − | 0.163488i | \(-0.947725\pi\) |
0.538632 | − | 0.842541i | \(-0.318941\pi\) | |||||||
\(692\) | −6.05114 | − | 1.28621i | −0.230030 | − | 0.0488944i | ||||
\(693\) | −0.468401 | − | 0.208546i | −0.0177931 | − | 0.00792199i | ||||
\(694\) | −3.44969 | + | 1.12087i | −0.130948 | + | 0.0425477i | ||||
\(695\) | 7.61633 | + | 35.8320i | 0.288904 | + | 1.35919i | ||||
\(696\) | 7.82105 | + | 0.822026i | 0.296456 | + | 0.0311588i | ||||
\(697\) | 16.3910 | + | 5.32574i | 0.620852 | + | 0.201727i | ||||
\(698\) | −1.79716 | + | 0.381997i | −0.0680233 | + | 0.0144588i | ||||
\(699\) | 14.4012 | − | 6.41183i | 0.544704 | − | 0.242518i | ||||
\(700\) | 3.98578 | − | 3.58881i | 0.150648 | − | 0.135644i | ||||
\(701\) | 13.2140 | + | 40.6686i | 0.499087 | + | 1.53603i | 0.810490 | + | 0.585753i | \(0.199201\pi\) |
−0.311403 | + | 0.950278i | \(0.600799\pi\) | |||||||
\(702\) | −4.52633 | + | 1.03326i | −0.170835 | + | 0.0389979i | ||||
\(703\) | −20.2259 | − | 62.2489i | −0.762834 | − | 2.34776i | ||||
\(704\) | −1.02533 | − | 2.30294i | −0.0386438 | − | 0.0867953i | ||||
\(705\) | −20.2244 | + | 9.00447i | −0.761694 | + | 0.339128i | ||||
\(706\) | 2.16733 | + | 0.964957i | 0.0815685 | + | 0.0363166i | ||||
\(707\) | 1.37079i | 0.0515539i | ||||||||
\(708\) | 7.11133 | − | 4.10573i | 0.267260 | − | 0.154303i | ||||
\(709\) | 5.23229 | − | 11.7519i | 0.196503 | − | 0.441352i | −0.788240 | − | 0.615368i | \(-0.789008\pi\) |
0.984743 | + | 0.174015i | \(0.0556743\pi\) | |||||||
\(710\) | 9.30432 | + | 3.02316i | 0.349185 | + | 0.113457i | ||||
\(711\) | 10.7099 | − | 11.8946i | 0.401654 | − | 0.446081i | ||||
\(712\) | −0.152412 | + | 0.263985i | −0.00571188 | + | 0.00989326i | ||||
\(713\) | 15.4193 | + | 1.81537i | 0.577459 | + | 0.0679861i | ||||
\(714\) | −1.16890 | −0.0437451 | ||||||||
\(715\) | 4.18672 | + | 0.376674i | 0.156574 | + | 0.0140868i | ||||
\(716\) | 7.19156 | − | 22.1334i | 0.268761 | − | 0.827162i | ||||
\(717\) | 11.2124 | − | 1.17847i | 0.418736 | − | 0.0440109i | ||||
\(718\) | 4.60952 | − | 7.98392i | 0.172026 | − | 0.297957i | ||||
\(719\) | −5.68361 | − | 9.84429i | −0.211963 | − | 0.367130i | 0.740366 | − | 0.672204i | \(-0.234652\pi\) |
−0.952329 | + | 0.305074i | \(0.901319\pi\) | |||||||
\(720\) | 12.3946 | + | 17.0597i | 0.461920 | + | 0.635778i | ||||
\(721\) | 12.4942 | + | 1.31320i | 0.465310 | + | 0.0489060i | ||||
\(722\) | −4.26405 | − | 0.448170i | −0.158691 | − | 0.0166791i | ||||
\(723\) | −22.8320 | + | 7.41857i | −0.849132 | + | 0.275900i | ||||
\(724\) | 0.734612 | + | 0.327071i | 0.0273017 | + | 0.0121555i | ||||
\(725\) | 30.3609 | + | 6.45342i | 1.12758 | + | 0.239674i | ||||
\(726\) | 2.10350 | − | 1.89400i | 0.0780681 | − | 0.0702928i | ||||
\(727\) | −32.1426 | − | 23.3530i | −1.19210 | − | 0.866115i | −0.198619 | − | 0.980077i | \(-0.563646\pi\) |
−0.993485 | + | 0.113962i | \(0.963646\pi\) | |||||||
\(728\) | 2.32150 | − | 0.792972i | 0.0860406 | − | 0.0293895i | ||||
\(729\) | 4.53736 | − | 13.9646i | 0.168050 | − | 0.517206i | ||||
\(730\) | 3.58415 | + | 8.05013i | 0.132655 | + | 0.297949i | ||||
\(731\) | −15.7908 | − | 17.5375i | −0.584044 | − | 0.648647i | ||||
\(732\) | −11.4844 | + | 12.7547i | −0.424476 | + | 0.471429i | ||||
\(733\) | −7.17701 | − | 9.87831i | −0.265089 | − | 0.364864i | 0.655635 | − | 0.755078i | \(-0.272401\pi\) |
−0.920724 | + | 0.390214i | \(0.872401\pi\) | |||||||
\(734\) | 2.02991 | + | 1.82774i | 0.0749253 | + | 0.0674631i | ||||
\(735\) | −20.1655 | − | 2.11948i | −0.743817 | − | 0.0781783i | ||||
\(736\) | −4.76372 | + | 6.55670i | −0.175593 | + | 0.241683i | ||||
\(737\) | 1.04225 | + | 0.464038i | 0.0383916 | + | 0.0170931i | ||||
\(738\) | −0.643583 | + | 1.11472i | −0.0236906 | + | 0.0410333i | ||||
\(739\) | −1.14943 | − | 0.663622i | −0.0422824 | − | 0.0244117i | 0.478710 | − | 0.877973i | \(-0.341105\pi\) |
−0.520992 | + | 0.853561i | \(0.674438\pi\) | |||||||
\(740\) | −51.4422 | + | 37.3750i | −1.89105 | + | 1.37393i | ||||
\(741\) | 21.8819 | + | 4.30932i | 0.803852 | + | 0.158307i | ||||
\(742\) | 0.458478 | + | 1.41105i | 0.0168313 | + | 0.0518013i | ||||
\(743\) | 13.8784 | + | 8.01273i | 0.509151 | + | 0.293958i | 0.732485 | − | 0.680784i | \(-0.238361\pi\) |
−0.223334 | + | 0.974742i | \(0.571694\pi\) | |||||||
\(744\) | −5.19353 | − | 2.39037i | −0.190404 | − | 0.0876354i | ||||
\(745\) | −17.5443 | − | 30.3876i | −0.642774 | − | 1.11332i | ||||
\(746\) | 0.979961 | − | 0.318409i | 0.0358789 | − | 0.0116578i | ||||
\(747\) | −5.30252 | − | 24.9464i | −0.194009 | − | 0.912741i | ||||
\(748\) | −2.00014 | + | 4.49240i | −0.0731325 | + | 0.164258i | ||||
\(749\) | − | 5.25701i | − | 0.192087i | ||||||
\(750\) | −0.371714 | − | 0.643828i | −0.0135731 | − | 0.0235093i | ||||
\(751\) | 1.40026 | + | 13.3226i | 0.0510961 | + | 0.486147i | 0.989907 | + | 0.141715i | \(0.0452618\pi\) |
−0.938811 | + | 0.344432i | \(0.888072\pi\) | |||||||
\(752\) | 10.5030 | + | 23.5900i | 0.383004 | + | 0.860240i | ||||
\(753\) | 23.6728 | + | 17.1993i | 0.862686 | + | 0.626778i | ||||
\(754\) | 5.71049 | + | 4.01950i | 0.207964 | + | 0.146382i | ||||
\(755\) | −1.49158 | + | 1.08369i | −0.0542840 | + | 0.0394397i | ||||
\(756\) | −1.40094 | + | 6.59089i | −0.0509516 | + | 0.239708i | ||||
\(757\) | 5.36985 | + | 5.96382i | 0.195170 | + | 0.216759i | 0.832785 | − | 0.553597i | \(-0.186745\pi\) |
−0.637614 | + | 0.770356i | \(0.720079\pi\) | |||||||
\(758\) | −0.575210 | + | 5.47276i | −0.0208926 | + | 0.198780i | ||||
\(759\) | −1.06009 | − | 0.344444i | −0.0384788 | − | 0.0125025i | ||||
\(760\) | 3.73376 | + | 17.5659i | 0.135438 | + | 0.637184i | ||||
\(761\) | 12.3995 | + | 1.30324i | 0.449482 | + | 0.0472425i | 0.326566 | − | 0.945175i | \(-0.394109\pi\) |
0.122916 | + | 0.992417i | \(0.460775\pi\) | |||||||
\(762\) | 4.57579 | + | 1.48677i | 0.165764 | + | 0.0538598i | ||||
\(763\) | 3.65634 | − | 4.06077i | 0.132368 | − | 0.147010i | ||||
\(764\) | −1.18337 | − | 11.2590i | −0.0428127 | − | 0.407336i | ||||
\(765\) | 7.93809 | − | 37.3458i | 0.287002 | − | 1.35024i | ||||
\(766\) | 3.15511 | + | 2.29232i | 0.113999 | + | 0.0828250i | ||||
\(767\) | 14.8226 | − | 0.222245i | 0.535213 | − | 0.00802480i | ||||
\(768\) | −9.28480 | + | 6.74580i | −0.335036 | + | 0.243418i | ||||
\(769\) | −2.11286 | − | 1.21986i | −0.0761917 | − | 0.0439893i | 0.461420 | − | 0.887182i | \(-0.347340\pi\) |
−0.537612 | + | 0.843192i | \(0.680673\pi\) | |||||||
\(770\) | −0.100768 | + | 0.174535i | −0.00363143 | + | 0.00628982i | ||||
\(771\) | −14.5512 | − | 6.47861i | −0.524049 | − | 0.233321i | ||||
\(772\) | −16.4532 | − | 5.34596i | −0.592163 | − | 0.192405i | ||||
\(773\) | 20.5847 | + | 18.5345i | 0.740379 | + | 0.666640i | 0.950391 | − | 0.311059i | \(-0.100684\pi\) |
−0.210012 | + | 0.977699i | \(0.567350\pi\) | |||||||
\(774\) | 1.52637 | − | 0.881252i | 0.0548643 | − | 0.0316759i | ||||
\(775\) | −19.4001 | − | 11.5257i | −0.696871 | − | 0.414014i | ||||
\(776\) | 8.63830 | + | 14.9620i | 0.310097 | + | 0.537103i | ||||
\(777\) | −7.52871 | − | 1.60028i | −0.270091 | − | 0.0574096i | ||||
\(778\) | 0.887859 | − | 0.799432i | 0.0318313 | − | 0.0286610i | ||||
\(779\) | 12.7542 | − | 9.26648i | 0.456967 | − | 0.332006i | ||||
\(780\) | −2.58753 | − | 21.5112i | −0.0926483 | − | 0.770224i | ||||
\(781\) | 4.98199 | 0.178269 | ||||||||
\(782\) | 4.59731 | − | 0.483196i | 0.164399 | − | 0.0172791i | ||||
\(783\) | −35.6239 | + | 15.8608i | −1.27309 | + | 0.566817i | ||||
\(784\) | −2.47220 | + | 23.5214i | −0.0882929 | + | 0.840051i | ||||
\(785\) | −55.9482 | + | 18.1787i | −1.99688 | + | 0.648825i | ||||
\(786\) | 0.521377 | − | 1.17103i | 0.0185969 | − | 0.0417693i | ||||
\(787\) | −28.6003 | − | 25.7518i | −1.01949 | − | 0.917952i | −0.0228395 | − | 0.999739i | \(-0.507271\pi\) |
−0.996650 | + | 0.0817869i | \(0.973937\pi\) | |||||||
\(788\) | −32.7037 | − | 10.6261i | −1.16502 | − | 0.378538i | ||||
\(789\) | 0.284015 | − | 2.70222i | 0.0101112 | − | 0.0962017i | ||||
\(790\) | −4.20971 | − | 4.67535i | −0.149775 | − | 0.166342i | ||||
\(791\) | −1.88281 | + | 1.69529i | −0.0669449 | + | 0.0602774i | ||||
\(792\) | −0.604069 | − | 0.438882i | −0.0214647 | − | 0.0155950i | ||||
\(793\) | −29.3216 | + | 10.0156i | −1.04124 | + | 0.355664i | ||||
\(794\) | −1.63329 | − | 5.02674i | −0.0579632 | − | 0.178392i | ||||
\(795\) | 26.4940 | − | 2.78463i | 0.939644 | − | 0.0987605i | ||||
\(796\) | 38.5267 | + | 8.18909i | 1.36554 | + | 0.290255i | ||||
\(797\) | −0.221975 | + | 2.11196i | −0.00786277 | + | 0.0748093i | −0.997750 | − | 0.0670499i | \(-0.978641\pi\) |
0.989887 | + | 0.141859i | \(0.0453080\pi\) | |||||||
\(798\) | −0.628486 | + | 0.865036i | −0.0222481 | + | 0.0306219i | ||||
\(799\) | 19.0167 | − | 42.7122i | 0.672762 | − | 1.51105i | ||||
\(800\) | 10.2011 | − | 5.88963i | 0.360665 | − | 0.208230i | ||||
\(801\) | − | 0.592812i | − | 0.0209460i | ||||||
\(802\) | −5.39086 | − | 2.40017i | −0.190358 | − | 0.0847528i | ||||
\(803\) | 3.00267 | + | 3.33480i | 0.105962 | + | 0.117683i | ||||
\(804\) | 1.22258 | − | 5.75181i | 0.0431172 | − | 0.202851i | ||||
\(805\) | −5.73492 | −0.202129 | ||||||||
\(806\) | −2.99443 | − | 4.09972i | −0.105474 | − | 0.144407i | ||||
\(807\) | 18.1999 | 0.640667 | ||||||||
\(808\) | −0.415042 | + | 1.95262i | −0.0146011 | + | 0.0686929i | ||||
\(809\) | −18.5075 | − | 20.5546i | −0.650688 | − | 0.722662i | 0.324043 | − | 0.946042i | \(-0.394958\pi\) |
−0.974731 | + | 0.223380i | \(0.928291\pi\) | |||||||
\(810\) | 0.385791 | + | 0.171765i | 0.0135553 | + | 0.00603522i | ||||
\(811\) | 30.7016i | 1.07808i | 0.842280 | + | 0.539040i | \(0.181213\pi\) | ||||
−0.842280 | + | 0.539040i | \(0.818787\pi\) | |||||||
\(812\) | 8.77711 | − | 5.06747i | 0.308016 | − | 0.177833i | ||||
\(813\) | −4.19751 | + | 9.42776i | −0.147213 | + | 0.330646i | ||||
\(814\) | 0.628741 | − | 0.865388i | 0.0220374 | − | 0.0303318i | ||||
\(815\) | −0.442084 | + | 4.20615i | −0.0154855 | + | 0.147335i | ||||
\(816\) | 23.9460 | + | 5.08988i | 0.838277 | + | 0.178181i | ||||
\(817\) | −21.4687 | + | 2.25645i | −0.751095 | + | 0.0789433i | ||||
\(818\) | −0.00863406 | − | 0.0265729i | −0.000301883 | − | 0.000929100i | ||||
\(819\) | −3.13885 | + | 3.59293i | −0.109680 | + | 0.125547i | ||||
\(820\) | −12.3905 | − | 9.00226i | −0.432697 | − | 0.314373i | ||||
\(821\) | 29.4276 | − | 26.4967i | 1.02703 | − | 0.924741i | 0.0298313 | − | 0.999555i | \(-0.490503\pi\) |
0.997197 | + | 0.0748141i | \(0.0238363\pi\) | |||||||
\(822\) | 0.397857 | + | 0.441865i | 0.0138769 | + | 0.0154118i | ||||
\(823\) | 1.89011 | − | 17.9832i | 0.0658853 | − | 0.626856i | −0.910899 | − | 0.412630i | \(-0.864610\pi\) |
0.976784 | − | 0.214226i | \(-0.0687231\pi\) | |||||||
\(824\) | 17.3998 | + | 5.65352i | 0.606149 | + | 0.196950i | ||||
\(825\) | 1.20393 | + | 1.08402i | 0.0419154 | + | 0.0377408i | ||||
\(826\) | −0.289078 | + | 0.649280i | −0.0100583 | + | 0.0225913i | ||||
\(827\) | 17.7291 | − | 5.76055i | 0.616503 | − | 0.200314i | 0.0159157 | − | 0.999873i | \(-0.494934\pi\) |
0.600587 | + | 0.799560i | \(0.294934\pi\) | |||||||
\(828\) | 1.09243 | − | 10.3938i | 0.0379645 | − | 0.361208i | ||||
\(829\) | −6.18486 | + | 2.75368i | −0.214809 | + | 0.0956392i | −0.511320 | − | 0.859390i | \(-0.670843\pi\) |
0.296511 | + | 0.955029i | \(0.404177\pi\) | |||||||
\(830\) | −9.96973 | + | 1.04786i | −0.346054 | + | 0.0363718i | ||||
\(831\) | −12.4695 | −0.432563 | ||||||||
\(832\) | −23.2887 | + | 2.80134i | −0.807392 | + | 0.0971191i | ||||
\(833\) | 34.6441 | − | 25.1704i | 1.20035 | − | 0.872104i | ||||
\(834\) | −2.36043 | + | 2.12534i | −0.0817351 | + | 0.0735946i | ||||
\(835\) | −24.2254 | − | 5.14928i | −0.838356 | − | 0.178198i | ||||
\(836\) | 2.24914 | + | 3.89562i | 0.0777881 | + | 0.134733i | ||||
\(837\) | 28.2290 | − | 2.61142i | 0.975736 | − | 0.0902637i | ||||
\(838\) | −3.60671 | + | 2.08233i | −0.124592 | + | 0.0719330i | ||||
\(839\) | −24.7141 | − | 22.2527i | −0.853227 | − | 0.768249i | 0.121277 | − | 0.992619i | \(-0.461301\pi\) |
−0.974504 | + | 0.224370i | \(0.927968\pi\) | |||||||
\(840\) | 2.00846 | + | 0.652590i | 0.0692986 | + | 0.0225165i | ||||
\(841\) | 27.0896 | + | 12.0611i | 0.934125 | + | 0.415899i | ||||
\(842\) | 2.86666 | − | 4.96520i | 0.0987916 | − | 0.171112i | ||||
\(843\) | 3.06431 | + | 1.76918i | 0.105540 | + | 0.0609338i | ||||
\(844\) | −2.95391 | + | 2.14614i | −0.101678 | + | 0.0738732i | ||||
\(845\) | 14.8308 | − | 36.1937i | 0.510196 | − | 1.24510i | ||||
\(846\) | 2.82498 | + | 2.05247i | 0.0971249 | + | 0.0705653i | ||||
\(847\) | 1.54192 | − | 7.25417i | 0.0529811 | − | 0.249256i | ||||
\(848\) | −3.24804 | − | 30.9030i | −0.111538 | − | 1.06121i | ||||
\(849\) | −8.75423 | + | 9.72255i | −0.300444 | + | 0.333677i | ||||
\(850\) | −6.38978 | − | 2.07617i | −0.219168 | − | 0.0712119i | ||||
\(851\) | 30.2720 | + | 3.18172i | 1.03771 | + | 0.109068i | ||||
\(852\) | −5.33877 | − | 25.1170i | −0.182903 | − | 0.860493i | ||||
\(853\) | 24.1033 | + | 7.83163i | 0.825281 | + | 0.268150i | 0.691056 | − | 0.722801i | \(-0.257146\pi\) |
0.134225 | + | 0.990951i | \(0.457146\pi\) | |||||||
\(854\) | 0.155280 | − | 1.47739i | 0.00531356 | − | 0.0505552i | ||||
\(855\) | −23.3693 | − | 25.9543i | −0.799214 | − | 0.887617i | ||||
\(856\) | 1.59169 | − | 7.48832i | 0.0544029 | − | 0.255945i | ||||
\(857\) | 45.0170 | − | 32.7068i | 1.53775 | − | 1.11724i | 0.586026 | − | 0.810292i | \(-0.300692\pi\) |
0.951726 | − | 0.306949i | \(-0.0993083\pi\) | |||||||
\(858\) | 0.153223 | + | 0.330710i | 0.00523095 | + | 0.0112903i | ||||
\(859\) | 23.2422 | + | 16.8864i | 0.793013 | + | 0.576158i | 0.908856 | − | 0.417110i | \(-0.136957\pi\) |
−0.115843 | + | 0.993268i | \(0.536957\pi\) | |||||||
\(860\) | 8.52985 | + | 19.1584i | 0.290866 | + | 0.653295i | ||||
\(861\) | −0.193786 | − | 1.84375i | −0.00660420 | − | 0.0628348i | ||||
\(862\) | 0.176288 | + | 0.305340i | 0.00600440 | + | 0.0103999i | ||||
\(863\) | − | 39.6323i | − | 1.34910i | −0.738230 | − | 0.674550i | \(-0.764338\pi\) | ||
0.738230 | − | 0.674550i | \(-0.235662\pi\) | |||||||
\(864\) | −6.01910 | + | 13.5191i | −0.204774 | + | 0.459930i | ||||
\(865\) | −1.99890 | − | 9.40407i | −0.0679645 | − | 0.319748i | ||||
\(866\) | −3.27545 | + | 1.06426i | −0.111304 | + | 0.0361650i | ||||
\(867\) | −13.3942 | − | 23.1994i | −0.454891 | − | 0.787894i | ||||
\(868\) | −7.22564 | + | 1.44190i | −0.245254 | + | 0.0489412i | ||||
\(869\) | −2.77457 | − | 1.60190i | −0.0941208 | − | 0.0543407i | ||||
\(870\) | 1.85766 | + | 5.71730i | 0.0629807 | + | 0.193835i | ||||
\(871\) | 6.98429 | − | 7.99469i | 0.236654 | − | 0.270890i | ||||
\(872\) | 6.43775 | − | 4.67730i | 0.218010 | − | 0.158393i | ||||
\(873\) | −29.0976 | − | 16.7995i | −0.984804 | − | 0.568577i | ||||
\(874\) | 2.11426 | − | 3.66200i | 0.0715158 | − | 0.123869i | ||||
\(875\) | −1.77944 | − | 0.792259i | −0.0601562 | − | 0.0267833i | ||||
\(876\) | 13.5949 | − | 18.7118i | 0.459329 | − | 0.632212i | ||||
\(877\) | −7.29549 | − | 0.766787i | −0.246351 | − | 0.0258926i | −0.0194520 | − | 0.999811i | \(-0.506192\pi\) |
−0.226899 | + | 0.973918i | \(0.572859\pi\) | |||||||
\(878\) | 4.06908 | + | 3.66381i | 0.137325 | + | 0.123648i | ||||
\(879\) | 0.977250 | + | 1.34507i | 0.0329618 | + | 0.0453681i | ||||
\(880\) | 2.82432 | − | 3.13673i | 0.0952079 | − | 0.105739i | ||||
\(881\) | −6.49194 | − | 7.21002i | −0.218719 | − | 0.242912i | 0.623793 | − | 0.781589i | \(-0.285591\pi\) |
−0.842512 | + | 0.538678i | \(0.818924\pi\) | |||||||
\(882\) | 1.30083 | + | 2.92172i | 0.0438014 | + | 0.0983795i | ||||
\(883\) | −4.51670 | + | 13.9010i | −0.151999 | + | 0.467805i | −0.997844 | − | 0.0656232i | \(-0.979096\pi\) |
0.845845 | + | 0.533428i | \(0.179096\pi\) | |||||||
\(884\) | 34.4595 | + | 30.1044i | 1.15900 | + | 1.01252i | ||||
\(885\) | 10.3242 | + | 7.50097i | 0.347044 | + | 0.252142i | ||||
\(886\) | −6.47583 | + | 5.83086i | −0.217560 | + | 0.195892i | ||||
\(887\) | 25.5101 | + | 5.42235i | 0.856547 | + | 0.182065i | 0.615197 | − | 0.788374i | \(-0.289077\pi\) |
0.241350 | + | 0.970438i | \(0.422410\pi\) | |||||||
\(888\) | −10.2397 | − | 4.55902i | −0.343622 | − | 0.152991i | ||||
\(889\) | 11.9890 | − | 3.89545i | 0.402097 | − | 0.130649i | ||||
\(890\) | −0.231738 | − | 0.0243566i | −0.00776787 | − | 0.000816436i | ||||
\(891\) | 0.213875 | + | 0.0224792i | 0.00716509 | + | 0.000753082i | ||||
\(892\) | 6.04457 | + | 8.31963i | 0.202387 | + | 0.278562i | ||||
\(893\) | −21.3840 | − | 37.0383i | −0.715590 | − | 1.23944i | ||||
\(894\) | 1.52120 | − | 2.63480i | 0.0508767 | − | 0.0881210i | ||||
\(895\) | 35.9694 | − | 3.78054i | 1.20233 | − | 0.126370i | ||||
\(896\) | 1.57531 | − | 4.84831i | 0.0526275 | − | 0.161971i | ||||
\(897\) | −5.96984 | + | 8.48132i | −0.199327 | + | 0.283183i | ||||
\(898\) | 3.38368 | 0.112915 | ||||||||
\(899\) | −31.3300 | − | 28.9254i | −1.04492 | − | 0.964717i | ||||
\(900\) | −7.59485 | + | 13.1547i | −0.253162 | + | 0.438489i | ||||
\(901\) | −37.6461 | + | 41.8102i | −1.25417 | + | 1.39290i | ||||
\(902\) | 0.245036 | + | 0.0796171i | 0.00815881 | + | 0.00265096i | ||||
\(903\) | −1.03251 | + | 2.31906i | −0.0343599 | + | 0.0771736i | ||||
\(904\) | −3.19524 | + | 1.84478i | −0.106272 | + | 0.0613563i | ||||
\(905\) | 1.24970i | 0.0415415i | ||||||||
\(906\) | −0.146039 | − | 0.0650208i | −0.00485183 | − | 0.00216017i | ||||
\(907\) | 1.14637 | − | 0.510397i | 0.0380646 | − | 0.0169474i | −0.387616 | − | 0.921821i | \(-0.626701\pi\) |
0.425681 | + | 0.904873i | \(0.360035\pi\) | |||||||
\(908\) | 16.8728 | + | 37.8969i | 0.559943 | + | 1.25765i | ||||
\(909\) | −1.19967 | − | 3.69222i | −0.0397907 | − | 0.122463i | ||||
\(910\) | 1.27556 | + | 1.37464i | 0.0422844 | + | 0.0455687i | ||||
\(911\) | 9.18923 | + | 28.2815i | 0.304453 | + | 0.937009i | 0.979881 | + | 0.199583i | \(0.0639588\pi\) |
−0.675428 | + | 0.737426i | \(0.736041\pi\) | |||||||
\(912\) | 16.6418 | − | 14.9843i | 0.551065 | − | 0.496181i | ||||
\(913\) | −4.66362 | + | 2.07638i | −0.154343 | + | 0.0687180i | ||||
\(914\) | 3.71288 | − | 0.789196i | 0.122811 | − | 0.0261043i | ||||
\(915\) | −25.3678 | − | 8.24250i | −0.838634 | − | 0.272489i | ||||
\(916\) | −46.4421 | − | 4.88126i | −1.53449 | − | 0.161281i | ||||
\(917\) | −0.698284 | − | 3.28517i | −0.0230594 | − | 0.108486i | ||||
\(918\) | 8.02760 | − | 2.60833i | 0.264950 | − | 0.0860876i | ||||
\(919\) | 15.8567 | + | 7.05986i | 0.523065 | + | 0.232883i | 0.651245 | − | 0.758867i | \(-0.274247\pi\) |
−0.128180 | + | 0.991751i | \(0.540914\pi\) | |||||||
\(920\) | −8.16908 | − | 1.73639i | −0.269327 | − | 0.0572471i | ||||
\(921\) | −4.22079 | − | 9.48005i | −0.139080 | − | 0.312378i | ||||
\(922\) | −0.350152 | − | 0.254401i | −0.0115317 | − | 0.00837824i | ||||
\(923\) | 13.6625 | − | 44.2980i | 0.449708 | − | 1.45808i | ||||
\(924\) | 0.528977 | 0.0174021 | ||||||||
\(925\) | −38.3132 | − | 22.1201i | −1.25973 | − | 0.727306i | ||||
\(926\) | 0.530961 | + | 5.05175i | 0.0174484 | + | 0.166011i | ||||
\(927\) | −34.8024 | + | 7.39748i | −1.14306 | + | 0.242965i | ||||
\(928\) | 21.1693 | − | 6.87831i | 0.694915 | − | 0.225792i | ||||
\(929\) | 18.0519 | − | 10.4223i | 0.592264 | − | 0.341944i | −0.173728 | − | 0.984794i | \(-0.555581\pi\) |
0.765992 | + | 0.642850i | \(0.222248\pi\) | |||||||
\(930\) | 0.0545145 | − | 4.37004i | 0.00178760 | − | 0.143299i | ||||
\(931\) | − | 39.1715i | − | 1.28379i | ||||||
\(932\) | 19.7966 | − | 21.9864i | 0.648460 | − | 0.720188i | ||||
\(933\) | −19.9049 | − | 22.1067i | −0.651658 | − | 0.723740i | ||||
\(934\) | 9.58862 | − | 1.00780i | 0.313749 | − | 0.0329764i | ||||
\(935\) | −7.64234 | −0.249931 | ||||||||
\(936\) | −5.55897 | + | 4.16757i | −0.181700 | + | 0.136221i | ||||
\(937\) | −0.595073 | + | 0.432346i | −0.0194402 | + | 0.0141241i | −0.597463 | − | 0.801897i | \(-0.703824\pi\) |
0.578023 | + | 0.816021i | \(0.303824\pi\) | |||||||
\(938\) | 0.207012 | + | 0.464956i | 0.00675918 | + | 0.0151814i | ||||
\(939\) | −24.3546 | + | 10.8433i | −0.794781 | + | 0.353859i | ||||
\(940\) | −27.8014 | + | 30.8766i | −0.906783 | + | 1.00708i | ||||
\(941\) | 12.9872 | + | 17.8753i | 0.423370 | + | 0.582718i | 0.966415 | − | 0.256985i | \(-0.0827290\pi\) |
−0.543046 | + | 0.839703i | \(0.682729\pi\) | |||||||
\(942\) | −3.79057 | − | 3.41305i | −0.123503 | − | 0.111203i | ||||
\(943\) | 1.52432 | + | 7.17138i | 0.0496388 | + | 0.233532i | ||||
\(944\) | 8.74925 | − | 12.0423i | 0.284764 | − | 0.391944i | ||||
\(945\) | −10.2429 | + | 2.17719i | −0.333201 | + | 0.0708241i | ||||
\(946\) | −0.236064 | − | 0.262176i | −0.00767511 | − | 0.00852407i | ||||
\(947\) | −7.95830 | − | 17.8746i | −0.258610 | − | 0.580848i | 0.736847 | − | 0.676059i | \(-0.236314\pi\) |
−0.995457 | + | 0.0952120i | \(0.969647\pi\) | |||||||
\(948\) | −5.10279 | + | 15.7048i | −0.165731 | + | 0.510067i | ||||
\(949\) | 37.8863 | − | 17.5533i | 1.22984 | − | 0.569804i | ||||
\(950\) | −4.97205 | + | 3.61241i | −0.161315 | + | 0.117202i | ||||
\(951\) | 4.69809 | − | 22.1028i | 0.152346 | − | 0.716732i | ||||
\(952\) | −4.07441 | + | 1.81404i | −0.132052 | + | 0.0587935i | ||||
\(953\) | 0.521658 | − | 4.96325i | 0.0168982 | − | 0.160775i | −0.982819 | − | 0.184574i | \(-0.940909\pi\) |
0.999717 | + | 0.0237987i | \(0.00757609\pi\) | |||||||
\(954\) | −2.46982 | − | 3.39941i | −0.0799632 | − | 0.110060i | ||||
\(955\) | 15.2368 | − | 8.79698i | 0.493052 | − | 0.284663i | ||||
\(956\) | 18.3243 | − | 10.5795i | 0.592651 | − | 0.342167i | ||||
\(957\) | 1.79940 | + | 2.47666i | 0.0581663 | + | 0.0800590i | ||||
\(958\) | 5.81417 | − | 1.23584i | 0.187847 | − | 0.0399282i | ||||
\(959\) | 1.52383 | + | 0.323899i | 0.0492069 | + | 0.0104593i | ||||
\(960\) | −17.4872 | − | 10.0963i | −0.564399 | − | 0.325856i | ||||
\(961\) | 14.8255 | + | 27.2251i | 0.478241 | + | 0.878229i | ||||
\(962\) | −5.97045 | − | 7.96375i | −0.192495 | − | 0.256762i | ||||
\(963\) | 4.60077 | + | 14.1597i | 0.148258 | + | 0.456290i | ||||
\(964\) | −33.4829 | + | 30.1481i | −1.07841 | + | 0.971006i | ||||
\(965\) | −2.81032 | − | 26.7384i | −0.0904675 | − | 0.860741i | ||||
\(966\) | −0.248627 | − | 0.430635i | −0.00799944 | − | 0.0138554i | ||||
\(967\) | 22.4218i | 0.721035i | 0.932752 | + | 0.360518i | \(0.117400\pi\) | ||||
−0.932752 | + | 0.360518i | \(0.882600\pi\) | |||||||
\(968\) | 4.39277 | − | 9.86632i | 0.141189 | − | 0.317115i | ||||
\(969\) | −40.3241 | − | 4.23823i | −1.29540 | − | 0.136152i | ||||
\(970\) | −7.76266 | + | 10.6844i | −0.249244 | + | 0.343055i | ||||
\(971\) | −23.3843 | + | 25.9709i | −0.750437 | + | 0.833445i | −0.990529 | − | 0.137305i | \(-0.956156\pi\) |
0.240091 | + | 0.970750i | \(0.422823\pi\) | |||||||
\(972\) | −3.20712 | − | 30.5137i | −0.102869 | − | 0.978728i | ||||
\(973\) | −1.73026 | + | 8.14024i | −0.0554696 | + | 0.260964i | ||||
\(974\) | 1.49219 | − | 4.59248i | 0.0478128 | − | 0.147153i | ||||
\(975\) | 12.9403 | − | 7.73207i | 0.414423 | − | 0.247624i | ||||
\(976\) | −9.61419 | + | 29.5894i | −0.307743 | + | 0.947135i | ||||
\(977\) | 31.9273 | − | 28.7474i | 1.02144 | − | 0.919712i | 0.0246475 | − | 0.999696i | \(-0.492154\pi\) |
0.996796 | + | 0.0799842i | \(0.0254870\pi\) | |||||||
\(978\) | −0.335005 | + | 0.149154i | −0.0107123 | + | 0.00476942i | ||||
\(979\) | −0.116068 | + | 0.0246709i | −0.00370954 | + | 0.000788486i | ||||
\(980\) | −36.1921 | + | 11.7595i | −1.15611 | + | 0.375644i | ||||
\(981\) | −6.29446 | + | 14.1376i | −0.200967 | + | 0.451378i | ||||
\(982\) | −6.15981 | − | 5.54632i | −0.196567 | − | 0.176990i | ||||
\(983\) | −36.5648 | + | 50.3271i | −1.16624 | + | 1.60519i | −0.481365 | + | 0.876520i | \(0.659859\pi\) |
−0.684871 | + | 0.728665i | \(0.740141\pi\) | |||||||
\(984\) | 0.282204 | − | 2.68499i | 0.00899634 | − | 0.0855944i | ||||
\(985\) | −5.58603 | − | 53.1476i | −0.177986 | − | 1.69342i | ||||
\(986\) | −10.9949 | − | 6.34792i | −0.350149 | − | 0.202159i | ||||
\(987\) | −5.02934 | −0.160086 | ||||||||
\(988\) | 40.8064 | − | 9.31520i | 1.29823 | − | 0.296356i | ||||
\(989\) | 3.10224 | − | 9.54772i | 0.0986456 | − | 0.303600i | ||||
\(990\) | 0.118670 | − | 0.558299i | 0.00377159 | − | 0.0177439i | ||||
\(991\) | 19.7058 | − | 34.1314i | 0.625974 | − | 1.08422i | −0.362377 | − | 0.932031i | \(-0.618035\pi\) |
0.988352 | − | 0.152188i | \(-0.0486318\pi\) | |||||||
\(992\) | −16.1808 | − | 0.201849i | −0.513741 | − | 0.00640873i | ||||
\(993\) | − | 3.14903i | − | 0.0999314i | ||||||
\(994\) | 1.65165 | + | 1.48715i | 0.0523872 | + | 0.0471696i | ||||
\(995\) | 12.7267 | + | 59.8742i | 0.403462 | + | 1.89814i | ||||
\(996\) | 15.4658 | + | 21.2868i | 0.490052 | + | 0.674498i | ||||
\(997\) | 8.80798 | + | 15.2559i | 0.278952 | + | 0.483158i | 0.971124 | − | 0.238573i | \(-0.0766798\pi\) |
−0.692173 | + | 0.721732i | \(0.743346\pi\) | |||||||
\(998\) | 0.748084 | − | 1.29572i | 0.0236802 | − | 0.0410153i | ||||
\(999\) | 55.2754 | − | 5.80968i | 1.74884 | − | 0.183810i |
(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.bs.a.4.17 | ✓ | 288 | |
13.10 | even | 6 | inner | 403.2.bs.a.283.20 | yes | 288 | |
31.8 | even | 5 | inner | 403.2.bs.a.225.20 | yes | 288 | |
403.101 | even | 30 | inner | 403.2.bs.a.101.17 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bs.a.4.17 | ✓ | 288 | 1.1 | even | 1 | trivial | |
403.2.bs.a.101.17 | yes | 288 | 403.101 | even | 30 | inner | |
403.2.bs.a.225.20 | yes | 288 | 31.8 | even | 5 | inner | |
403.2.bs.a.283.20 | yes | 288 | 13.10 | even | 6 | inner |