Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 229.17 | ||
Character | \(\chi\) | \(=\) | 384.229 |
Dual form | 384.2.v.a.109.17 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.192507 | − | 1.40105i | 0.136123 | − | 0.990692i | ||||
\(3\) | 0.881921 | − | 0.471397i | 0.509177 | − | 0.272161i | ||||
\(4\) | −1.92588 | − | 0.539424i | −0.962941 | − | 0.269712i | ||||
\(5\) | −1.13201 | − | 1.37936i | −0.506250 | − | 0.616867i | 0.455687 | − | 0.890140i | \(-0.349394\pi\) |
−0.961936 | + | 0.273273i | \(0.911894\pi\) | |||||||
\(6\) | −0.490674 | − | 1.32636i | −0.200317 | − | 0.541485i | ||||
\(7\) | −3.27816 | + | 2.19039i | −1.23903 | + | 0.827891i | −0.990063 | − | 0.140622i | \(-0.955090\pi\) |
−0.248963 | + | 0.968513i | \(0.580090\pi\) | |||||||
\(8\) | −1.12651 | + | 2.59441i | −0.398280 | + | 0.917264i | ||||
\(9\) | 0.555570 | − | 0.831470i | 0.185190 | − | 0.277157i | ||||
\(10\) | −2.15047 | + | 1.32046i | −0.680037 | + | 0.417568i | ||||
\(11\) | −3.58120 | + | 1.08634i | −1.07977 | + | 0.327545i | −0.779560 | − | 0.626328i | \(-0.784557\pi\) |
−0.300211 | + | 0.953873i | \(0.597057\pi\) | |||||||
\(12\) | −1.95276 | + | 0.432125i | −0.563713 | + | 0.124744i | ||||
\(13\) | −5.07386 | − | 4.16401i | −1.40724 | − | 1.15489i | −0.966321 | − | 0.257340i | \(-0.917154\pi\) |
−0.440915 | − | 0.897549i | \(-0.645346\pi\) | |||||||
\(14\) | 2.43778 | + | 5.01453i | 0.651525 | + | 1.34019i | ||||
\(15\) | −1.64857 | − | 0.682859i | −0.425658 | − | 0.176313i | ||||
\(16\) | 3.41804 | + | 2.07774i | 0.854511 | + | 0.519434i | ||||
\(17\) | 3.69412 | − | 1.53015i | 0.895955 | − | 0.371117i | 0.113292 | − | 0.993562i | \(-0.463861\pi\) |
0.782664 | + | 0.622445i | \(0.213861\pi\) | |||||||
\(18\) | −1.05798 | − | 0.938446i | −0.249368 | − | 0.221194i | ||||
\(19\) | −0.395943 | − | 4.02007i | −0.0908355 | − | 0.922268i | −0.927318 | − | 0.374275i | \(-0.877892\pi\) |
0.836482 | − | 0.547994i | \(-0.184608\pi\) | |||||||
\(20\) | 1.43606 | + | 3.26711i | 0.321112 | + | 0.730548i | ||||
\(21\) | −1.85853 | + | 3.47707i | −0.405565 | + | 0.758758i | ||||
\(22\) | 0.832616 | + | 5.22656i | 0.177514 | + | 1.11431i | ||||
\(23\) | 4.46479 | − | 0.888103i | 0.930974 | − | 0.185182i | 0.293769 | − | 0.955877i | \(-0.405090\pi\) |
0.637205 | + | 0.770694i | \(0.280090\pi\) | |||||||
\(24\) | 0.229508 | + | 2.81910i | 0.0468482 | + | 0.575446i | ||||
\(25\) | 0.354271 | − | 1.78104i | 0.0708542 | − | 0.356208i | ||||
\(26\) | −6.81074 | + | 6.30713i | −1.33570 | + | 1.23693i | ||||
\(27\) | 0.0980171 | − | 0.995185i | 0.0188634 | − | 0.191523i | ||||
\(28\) | 7.49489 | − | 2.45012i | 1.41640 | − | 0.463030i | ||||
\(29\) | −0.526952 | + | 1.73713i | −0.0978525 | + | 0.322576i | −0.992176 | − | 0.124844i | \(-0.960157\pi\) |
0.894324 | + | 0.447420i | \(0.147657\pi\) | |||||||
\(30\) | −1.27408 | + | 2.17827i | −0.232614 | + | 0.397696i | ||||
\(31\) | −0.107098 | − | 0.107098i | −0.0192353 | − | 0.0192353i | 0.697424 | − | 0.716659i | \(-0.254330\pi\) |
−0.716659 | + | 0.697424i | \(0.754330\pi\) | |||||||
\(32\) | 3.56901 | − | 4.38887i | 0.630918 | − | 0.775850i | ||||
\(33\) | −2.64623 | + | 2.64623i | −0.460650 | + | 0.460650i | ||||
\(34\) | −1.43268 | − | 5.47021i | −0.245702 | − | 0.938133i | ||||
\(35\) | 6.73223 | + | 2.04220i | 1.13796 | + | 0.345195i | ||||
\(36\) | −1.51848 | + | 1.30162i | −0.253080 | + | 0.216937i | ||||
\(37\) | −5.97528 | − | 0.588514i | −0.982330 | − | 0.0967511i | −0.405918 | − | 0.913910i | \(-0.633048\pi\) |
−0.576413 | + | 0.817159i | \(0.695548\pi\) | |||||||
\(38\) | −5.70855 | − | 0.219158i | −0.926048 | − | 0.0355520i | ||||
\(39\) | −6.43765 | − | 1.28053i | −1.03085 | − | 0.205049i | ||||
\(40\) | 4.85384 | − | 1.38304i | 0.767459 | − | 0.218679i | ||||
\(41\) | −0.531807 | − | 2.67357i | −0.0830543 | − | 0.417542i | −0.999835 | − | 0.0181517i | \(-0.994222\pi\) |
0.916781 | − | 0.399390i | \(-0.130778\pi\) | |||||||
\(42\) | 4.51376 | + | 3.27325i | 0.696489 | + | 0.505074i | ||||
\(43\) | 6.31201 | + | 3.37384i | 0.962573 | + | 0.514506i | 0.876300 | − | 0.481766i | \(-0.160004\pi\) |
0.0862727 | + | 0.996272i | \(0.472504\pi\) | |||||||
\(44\) | 7.48296 | − | 0.160386i | 1.12810 | − | 0.0241791i | ||||
\(45\) | −1.77580 | + | 0.174901i | −0.264721 | + | 0.0260728i | ||||
\(46\) | −0.384771 | − | 6.42637i | −0.0567315 | − | 0.947516i | ||||
\(47\) | −2.41492 | − | 5.83013i | −0.352252 | − | 0.850411i | −0.996341 | − | 0.0854612i | \(-0.972764\pi\) |
0.644090 | − | 0.764950i | \(-0.277236\pi\) | |||||||
\(48\) | 3.99388 | + | 0.221145i | 0.576467 | + | 0.0319195i | ||||
\(49\) | 3.26969 | − | 7.89374i | 0.467099 | − | 1.12768i | ||||
\(50\) | −2.42713 | − | 0.839214i | −0.343247 | − | 0.118683i | ||||
\(51\) | 2.53661 | − | 3.09087i | 0.355197 | − | 0.432809i | ||||
\(52\) | 7.52549 | + | 10.7564i | 1.04360 | + | 1.49164i | ||||
\(53\) | 2.32073 | + | 7.65041i | 0.318776 | + | 1.05086i | 0.959173 | + | 0.282820i | \(0.0912700\pi\) |
−0.640397 | + | 0.768044i | \(0.721230\pi\) | |||||||
\(54\) | −1.37543 | − | 0.328907i | −0.187173 | − | 0.0447586i | ||||
\(55\) | 5.55240 | + | 3.71000i | 0.748686 | + | 0.500256i | ||||
\(56\) | −1.98992 | − | 10.9724i | −0.265915 | − | 1.46625i | ||||
\(57\) | −2.24424 | − | 3.35874i | −0.297257 | − | 0.444876i | ||||
\(58\) | 2.33236 | + | 1.07269i | 0.306254 | + | 0.140852i | ||||
\(59\) | −8.94984 | + | 7.34494i | −1.16517 | + | 0.956230i | −0.999551 | − | 0.0299597i | \(-0.990462\pi\) |
−0.165619 | + | 0.986190i | \(0.552962\pi\) | |||||||
\(60\) | 2.80659 | + | 2.20438i | 0.362330 | + | 0.284584i | ||||
\(61\) | −7.19944 | − | 13.4692i | −0.921794 | − | 1.72456i | −0.645998 | − | 0.763339i | \(-0.723559\pi\) |
−0.275796 | − | 0.961216i | \(-0.588941\pi\) | |||||||
\(62\) | −0.170667 | + | 0.129432i | −0.0216747 | + | 0.0164379i | ||||
\(63\) | 3.94260i | 0.496721i | ||||||||
\(64\) | −5.46197 | − | 5.84525i | −0.682746 | − | 0.730656i | ||||
\(65\) | 11.7124i | 1.45274i | ||||||||
\(66\) | 3.19809 | + | 4.21693i | 0.393657 | + | 0.519068i | ||||
\(67\) | −1.25845 | − | 2.35439i | −0.153744 | − | 0.287635i | 0.793244 | − | 0.608904i | \(-0.208391\pi\) |
−0.946988 | + | 0.321269i | \(0.895891\pi\) | |||||||
\(68\) | −7.93984 | + | 0.954199i | −0.962847 | + | 0.115714i | ||||
\(69\) | 3.51895 | − | 2.88793i | 0.423632 | − | 0.347665i | ||||
\(70\) | 4.15723 | − | 9.03906i | 0.496884 | − | 1.08037i | ||||
\(71\) | 5.92462 | + | 8.86682i | 0.703123 | + | 1.05230i | 0.995385 | + | 0.0959594i | \(0.0305919\pi\) |
−0.292263 | + | 0.956338i | \(0.594408\pi\) | |||||||
\(72\) | 1.53132 | + | 2.37804i | 0.180468 | + | 0.280254i | ||||
\(73\) | 3.82637 | + | 2.55670i | 0.447843 | + | 0.299239i | 0.758966 | − | 0.651131i | \(-0.225705\pi\) |
−0.311123 | + | 0.950370i | \(0.600705\pi\) | |||||||
\(74\) | −1.97482 | + | 8.25838i | −0.229568 | + | 0.960017i | ||||
\(75\) | −0.527137 | − | 1.73774i | −0.0608686 | − | 0.200657i | ||||
\(76\) | −1.40599 | + | 7.95577i | −0.161278 | + | 0.912589i | ||||
\(77\) | 9.36020 | − | 11.4054i | 1.06669 | − | 1.29977i | ||||
\(78\) | −3.03338 | + | 8.77296i | −0.343462 | + | 0.993342i | ||||
\(79\) | −0.938124 | + | 2.26483i | −0.105547 | + | 0.254813i | −0.967826 | − | 0.251620i | \(-0.919037\pi\) |
0.862279 | + | 0.506434i | \(0.169037\pi\) | |||||||
\(80\) | −1.00332 | − | 7.06671i | −0.112174 | − | 0.790083i | ||||
\(81\) | −0.382683 | − | 0.923880i | −0.0425204 | − | 0.102653i | ||||
\(82\) | −3.84819 | + | 0.230406i | −0.424961 | + | 0.0254441i | ||||
\(83\) | −2.92711 | + | 0.288296i | −0.321293 | + | 0.0316446i | −0.257378 | − | 0.966311i | \(-0.582859\pi\) |
−0.0639146 | + | 0.997955i | \(0.520359\pi\) | |||||||
\(84\) | 5.45492 | − | 5.69388i | 0.595181 | − | 0.621253i | ||||
\(85\) | −6.29240 | − | 3.36336i | −0.682507 | − | 0.364808i | ||||
\(86\) | 5.94203 | − | 8.19396i | 0.640745 | − | 0.883577i | ||||
\(87\) | 0.354146 | + | 1.78041i | 0.0379684 | + | 0.190880i | ||||
\(88\) | 1.21582 | − | 10.5149i | 0.129606 | − | 1.12089i | ||||
\(89\) | 8.98890 | + | 1.78800i | 0.952822 | + | 0.189528i | 0.646940 | − | 0.762541i | \(-0.276049\pi\) |
0.305882 | + | 0.952069i | \(0.401049\pi\) | |||||||
\(90\) | −0.0968093 | + | 2.52166i | −0.0102046 | + | 0.265806i | ||||
\(91\) | 25.7537 | + | 2.53652i | 2.69972 | + | 0.265900i | ||||
\(92\) | −9.07773 | − | 0.698037i | −0.946419 | − | 0.0727754i | ||||
\(93\) | −0.144938 | − | 0.0439663i | −0.0150293 | − | 0.00455909i | ||||
\(94\) | −8.63319 | + | 2.26108i | −0.890445 | + | 0.233212i | ||||
\(95\) | −5.09690 | + | 5.09690i | −0.522931 | + | 0.522931i | ||||
\(96\) | 1.07869 | − | 5.55306i | 0.110093 | − | 0.566756i | ||||
\(97\) | −11.0663 | − | 11.0663i | −1.12361 | − | 1.12361i | −0.991194 | − | 0.132421i | \(-0.957725\pi\) |
−0.132421 | − | 0.991194i | \(-0.542275\pi\) | |||||||
\(98\) | −10.4301 | − | 6.10061i | −1.05360 | − | 0.616254i | ||||
\(99\) | −1.08634 | + | 3.58120i | −0.109182 | + | 0.359924i | ||||
\(100\) | −1.64302 | + | 3.23897i | −0.164302 | + | 0.323897i | ||||
\(101\) | 0.497143 | − | 5.04757i | 0.0494675 | − | 0.502252i | −0.938245 | − | 0.345971i | \(-0.887549\pi\) |
0.987713 | − | 0.156281i | \(-0.0499505\pi\) | |||||||
\(102\) | −3.84215 | − | 4.14894i | −0.380429 | − | 0.410806i | ||||
\(103\) | −0.529535 | + | 2.66215i | −0.0521766 | + | 0.262310i | −0.998065 | − | 0.0621833i | \(-0.980194\pi\) |
0.945888 | + | 0.324493i | \(0.105194\pi\) | |||||||
\(104\) | 16.5189 | − | 8.47291i | 1.61981 | − | 0.830837i | ||||
\(105\) | 6.89999 | − | 1.37249i | 0.673370 | − | 0.133942i | ||||
\(106\) | 11.1654 | − | 1.77870i | 1.08448 | − | 0.172762i | ||||
\(107\) | 6.29412 | − | 11.7755i | 0.608475 | − | 1.13838i | −0.369416 | − | 0.929264i | \(-0.620442\pi\) |
0.977892 | − | 0.209113i | \(-0.0670576\pi\) | |||||||
\(108\) | −0.725596 | + | 1.86374i | −0.0698205 | + | 0.179338i | ||||
\(109\) | −1.51504 | − | 15.3824i | −0.145114 | − | 1.47337i | −0.741651 | − | 0.670786i | \(-0.765957\pi\) |
0.596537 | − | 0.802586i | \(-0.296543\pi\) | |||||||
\(110\) | 6.26677 | − | 7.06499i | 0.597513 | − | 0.673620i | ||||
\(111\) | −5.54715 | + | 2.29771i | −0.526512 | + | 0.218089i | ||||
\(112\) | −15.7559 | + | 0.675720i | −1.48880 | + | 0.0638495i | ||||
\(113\) | −5.02863 | − | 2.08293i | −0.473054 | − | 0.195945i | 0.133403 | − | 0.991062i | \(-0.457410\pi\) |
−0.606457 | + | 0.795117i | \(0.707410\pi\) | |||||||
\(114\) | −5.13780 | + | 2.49771i | −0.481199 | + | 0.233932i | ||||
\(115\) | −6.27919 | − | 5.15320i | −0.585538 | − | 0.480539i | ||||
\(116\) | 1.95189 | − | 3.06125i | 0.181229 | − | 0.284230i | ||||
\(117\) | −6.28114 | + | 1.90536i | −0.580691 | + | 0.176151i | ||||
\(118\) | 8.56772 | + | 13.9531i | 0.788723 | + | 1.28449i | ||||
\(119\) | −8.75826 | + | 13.1077i | −0.802868 | + | 1.20158i | ||||
\(120\) | 3.62874 | − | 3.50782i | 0.331257 | − | 0.320219i | ||||
\(121\) | 2.49866 | − | 1.66955i | 0.227151 | − | 0.151777i | ||||
\(122\) | −20.2570 | + | 7.49386i | −1.83398 | + | 0.678462i | ||||
\(123\) | −1.72933 | − | 2.10719i | −0.155928 | − | 0.189999i | ||||
\(124\) | 0.148487 | + | 0.264029i | 0.0133345 | + | 0.0237105i | ||||
\(125\) | −10.7262 | + | 5.73328i | −0.959381 | + | 0.512800i | ||||
\(126\) | 5.52378 | + | 0.758979i | 0.492098 | + | 0.0676153i | ||||
\(127\) | 11.0905 | 0.984122 | 0.492061 | − | 0.870561i | \(-0.336244\pi\) | ||||
0.492061 | + | 0.870561i | \(0.336244\pi\) | |||||||
\(128\) | −9.24095 | + | 6.52724i | −0.816792 | + | 0.576932i | ||||
\(129\) | 7.15712 | 0.630149 | ||||||||
\(130\) | 16.4096 | + | 2.25471i | 1.43922 | + | 0.197751i | ||||
\(131\) | 7.00203 | − | 3.74266i | 0.611770 | − | 0.326998i | −0.136250 | − | 0.990675i | \(-0.543505\pi\) |
0.748020 | + | 0.663677i | \(0.231005\pi\) | |||||||
\(132\) | 6.52378 | − | 3.66889i | 0.567822 | − | 0.319336i | ||||
\(133\) | 10.1035 | + | 12.3112i | 0.876085 | + | 1.06751i | ||||
\(134\) | −3.54088 | + | 1.30991i | −0.305886 | + | 0.113159i | ||||
\(135\) | −1.48367 | + | 0.991357i | −0.127694 | + | 0.0853224i | ||||
\(136\) | −0.191596 | + | 11.3078i | −0.0164292 | + | 0.969636i | ||||
\(137\) | 2.50473 | − | 3.74859i | 0.213994 | − | 0.320264i | −0.708907 | − | 0.705302i | \(-0.750812\pi\) |
0.922901 | + | 0.385038i | \(0.125812\pi\) | |||||||
\(138\) | −3.36871 | − | 5.48617i | −0.286763 | − | 0.467014i | ||||
\(139\) | −19.7858 | + | 6.00195i | −1.67821 | + | 0.509079i | −0.978657 | − | 0.205503i | \(-0.934117\pi\) |
−0.699552 | + | 0.714582i | \(0.746617\pi\) | |||||||
\(140\) | −11.8639 | − | 7.56457i | −1.00268 | − | 0.639323i | ||||
\(141\) | −4.87807 | − | 4.00333i | −0.410808 | − | 0.337141i | ||||
\(142\) | 13.5634 | − | 6.59376i | 1.13821 | − | 0.553336i | ||||
\(143\) | 22.6940 | + | 9.40018i | 1.89777 | + | 0.786083i | ||||
\(144\) | 3.62654 | − | 1.68767i | 0.302211 | − | 0.140639i | ||||
\(145\) | 2.99263 | − | 1.23959i | 0.248524 | − | 0.102942i | ||||
\(146\) | 4.31867 | − | 4.86876i | 0.357416 | − | 0.402941i | ||||
\(147\) | −0.837470 | − | 8.50298i | −0.0690734 | − | 0.701314i | ||||
\(148\) | 11.1902 | + | 4.35662i | 0.919831 | + | 0.358112i | ||||
\(149\) | 8.46385 | − | 15.8347i | 0.693386 | − | 1.29723i | −0.250870 | − | 0.968021i | \(-0.580717\pi\) |
0.944256 | − | 0.329212i | \(-0.106783\pi\) | |||||||
\(150\) | −2.53614 | + | 0.404019i | −0.207075 | + | 0.0329880i | ||||
\(151\) | −14.6594 | + | 2.91593i | −1.19296 | + | 0.237295i | −0.751346 | − | 0.659909i | \(-0.770595\pi\) |
−0.441617 | + | 0.897204i | \(0.645595\pi\) | |||||||
\(152\) | 10.8758 | + | 3.50140i | 0.882141 | + | 0.284001i | ||||
\(153\) | 0.780066 | − | 3.92166i | 0.0630646 | − | 0.317047i | ||||
\(154\) | −14.1777 | − | 15.3097i | −1.14247 | − | 1.23369i | ||||
\(155\) | −0.0264904 | + | 0.268962i | −0.00212776 | + | 0.0216035i | ||||
\(156\) | 11.7074 | + | 5.93877i | 0.937342 | + | 0.475482i | ||||
\(157\) | −3.20835 | + | 10.5765i | −0.256054 | + | 0.844097i | 0.730815 | + | 0.682576i | \(0.239140\pi\) |
−0.986869 | + | 0.161522i | \(0.948360\pi\) | |||||||
\(158\) | 2.99255 | + | 1.75036i | 0.238074 | + | 0.139251i | ||||
\(159\) | 5.65308 | + | 5.65308i | 0.448318 | + | 0.448318i | ||||
\(160\) | −10.0940 | + | 0.0453035i | −0.797998 | + | 0.00358155i | ||||
\(161\) | −12.6910 | + | 12.6910i | −1.00019 | + | 1.00019i | ||||
\(162\) | −1.36807 | + | 0.358305i | −0.107486 | + | 0.0281511i | ||||
\(163\) | 16.7374 | + | 5.07723i | 1.31097 | + | 0.397679i | 0.866976 | − | 0.498350i | \(-0.166060\pi\) |
0.443996 | + | 0.896029i | \(0.353560\pi\) | |||||||
\(164\) | −0.417993 | + | 5.43586i | −0.0326398 | + | 0.424469i | ||||
\(165\) | 6.64566 | + | 0.654540i | 0.517364 | + | 0.0509559i | ||||
\(166\) | −0.159574 | + | 4.15653i | −0.0123853 | + | 0.322610i | ||||
\(167\) | −13.9092 | − | 2.76671i | −1.07632 | − | 0.214094i | −0.375064 | − | 0.926999i | \(-0.622379\pi\) |
−0.701261 | + | 0.712905i | \(0.747379\pi\) | |||||||
\(168\) | −6.92730 | − | 8.73873i | −0.534453 | − | 0.674208i | ||||
\(169\) | 5.86892 | + | 29.5050i | 0.451455 | + | 2.26962i | ||||
\(170\) | −5.92357 | + | 8.16850i | −0.454317 | + | 0.626495i | ||||
\(171\) | −3.56254 | − | 1.90422i | −0.272434 | − | 0.145619i | ||||
\(172\) | −10.3363 | − | 9.90247i | −0.788132 | − | 0.755056i | ||||
\(173\) | 20.7586 | − | 2.04454i | 1.57825 | − | 0.155444i | 0.729402 | − | 0.684085i | \(-0.239798\pi\) |
0.848846 | + | 0.528641i | \(0.177298\pi\) | |||||||
\(174\) | 2.56262 | − | 0.153434i | 0.194272 | − | 0.0116318i | ||||
\(175\) | 2.73982 | + | 6.61452i | 0.207111 | + | 0.500010i | ||||
\(176\) | −14.4978 | − | 3.72761i | −1.09281 | − | 0.280979i | ||||
\(177\) | −4.43067 | + | 10.6966i | −0.333030 | + | 0.804005i | ||||
\(178\) | 4.23551 | − | 12.2497i | 0.317465 | − | 0.918154i | ||||
\(179\) | −3.57652 | + | 4.35801i | −0.267322 | + | 0.325733i | −0.889319 | − | 0.457287i | \(-0.848821\pi\) |
0.621998 | + | 0.783019i | \(0.286321\pi\) | |||||||
\(180\) | 3.51433 | + | 0.621072i | 0.261943 | + | 0.0462920i | ||||
\(181\) | 2.50890 | + | 8.27073i | 0.186485 | + | 0.614759i | 0.999472 | + | 0.0324776i | \(0.0103397\pi\) |
−0.812987 | + | 0.582281i | \(0.802160\pi\) | |||||||
\(182\) | 8.51157 | − | 35.5940i | 0.630920 | − | 2.63840i | ||||
\(183\) | −12.6987 | − | 8.48499i | −0.938714 | − | 0.627228i | ||||
\(184\) | −2.72551 | + | 12.5840i | −0.200928 | + | 0.927703i | ||||
\(185\) | 5.95230 | + | 8.90825i | 0.437622 | + | 0.654947i | ||||
\(186\) | −0.0895005 | + | 0.194601i | −0.00656250 | + | 0.0142688i | ||||
\(187\) | −11.5671 | + | 9.49287i | −0.845870 | + | 0.694187i | ||||
\(188\) | 1.50593 | + | 12.5308i | 0.109832 | + | 0.913902i | ||||
\(189\) | 1.85853 | + | 3.47707i | 0.135188 | + | 0.252919i | ||||
\(190\) | 6.15983 | + | 8.12221i | 0.446881 | + | 0.589247i | ||||
\(191\) | 10.8664i | 0.786262i | 0.919483 | + | 0.393131i | \(0.128608\pi\) | ||||
−0.919483 | + | 0.393131i | \(0.871392\pi\) | |||||||
\(192\) | −7.57246 | − | 2.58030i | −0.546495 | − | 0.186217i | ||||
\(193\) | 8.62124i | 0.620571i | 0.950643 | + | 0.310285i | \(0.100425\pi\) | ||||
−0.950643 | + | 0.310285i | \(0.899575\pi\) | |||||||
\(194\) | −17.6348 | + | 13.3741i | −1.26611 | + | 0.960206i | ||||
\(195\) | 5.52117 | + | 10.3294i | 0.395379 | + | 0.739702i | ||||
\(196\) | −10.5551 | + | 13.4387i | −0.753937 | + | 0.959904i | ||||
\(197\) | −11.8346 | + | 9.71239i | −0.843179 | + | 0.691979i | −0.953328 | − | 0.301936i | \(-0.902367\pi\) |
0.110149 | + | 0.993915i | \(0.464867\pi\) | |||||||
\(198\) | 4.80831 | + | 2.21143i | 0.341711 | + | 0.157159i | ||||
\(199\) | −6.81399 | − | 10.1979i | −0.483031 | − | 0.722906i | 0.507279 | − | 0.861782i | \(-0.330651\pi\) |
−0.990310 | + | 0.138875i | \(0.955651\pi\) | |||||||
\(200\) | 4.22167 | + | 2.92548i | 0.298517 | + | 0.206863i | ||||
\(201\) | −2.21971 | − | 1.48316i | −0.156566 | − | 0.104614i | ||||
\(202\) | −6.97620 | − | 1.66822i | −0.490844 | − | 0.117375i | ||||
\(203\) | −2.07756 | − | 6.84880i | −0.145816 | − | 0.480692i | ||||
\(204\) | −6.55251 | + | 4.58434i | −0.458767 | + | 0.320968i | ||||
\(205\) | −3.08580 | + | 3.76006i | −0.215522 | + | 0.262614i | ||||
\(206\) | 3.62787 | + | 1.25439i | 0.252766 | + | 0.0873974i | ||||
\(207\) | 1.74208 | − | 4.20574i | 0.121083 | − | 0.292319i | ||||
\(208\) | −8.69097 | − | 24.7749i | −0.602610 | − | 1.71783i | ||||
\(209\) | 5.78513 | + | 13.9665i | 0.400166 | + | 0.966086i | ||||
\(210\) | −0.594634 | − | 9.93144i | −0.0410336 | − | 0.685334i | ||||
\(211\) | 1.51118 | − | 0.148838i | 0.104034 | − | 0.0102464i | −0.0458663 | − | 0.998948i | \(-0.514605\pi\) |
0.149900 | + | 0.988701i | \(0.452105\pi\) | |||||||
\(212\) | −0.342628 | − | 15.9856i | −0.0235318 | − | 1.09790i | ||||
\(213\) | 9.40483 | + | 5.02699i | 0.644409 | + | 0.344444i | ||||
\(214\) | −15.2863 | − | 11.0852i | −1.04495 | − | 0.757771i | ||||
\(215\) | −2.49152 | − | 12.5257i | −0.169920 | − | 0.854248i | ||||
\(216\) | 2.47150 | + | 1.37538i | 0.168165 | + | 0.0935827i | ||||
\(217\) | 0.585670 | + | 0.116497i | 0.0397579 | + | 0.00790833i | ||||
\(218\) | −21.8432 | − | 0.838586i | −1.47941 | − | 0.0567962i | ||||
\(219\) | 4.57978 | + | 0.451069i | 0.309473 | + | 0.0304804i | ||||
\(220\) | −8.69201 | − | 10.1401i | −0.586015 | − | 0.683646i | ||||
\(221\) | −25.1150 | − | 7.61856i | −1.68942 | − | 0.512480i | ||||
\(222\) | 2.15133 | + | 8.21416i | 0.144388 | + | 0.551299i | ||||
\(223\) | 2.64866 | − | 2.64866i | 0.177367 | − | 0.177367i | −0.612840 | − | 0.790207i | \(-0.709973\pi\) |
0.790207 | + | 0.612840i | \(0.209973\pi\) | |||||||
\(224\) | −2.08641 | + | 22.2049i | −0.139404 | + | 1.48363i | ||||
\(225\) | −1.28406 | − | 1.28406i | −0.0856039 | − | 0.0856039i | ||||
\(226\) | −3.88633 | + | 6.64439i | −0.258515 | + | 0.441978i | ||||
\(227\) | 8.31547 | − | 27.4124i | 0.551917 | − | 1.81943i | −0.0209530 | − | 0.999780i | \(-0.506670\pi\) |
0.572870 | − | 0.819646i | \(-0.305830\pi\) | |||||||
\(228\) | 2.51035 | + | 7.67914i | 0.166252 | + | 0.508563i | ||||
\(229\) | −0.275703 | + | 2.79926i | −0.0182190 | + | 0.184980i | −0.999987 | − | 0.00510269i | \(-0.998376\pi\) |
0.981768 | + | 0.190083i | \(0.0608758\pi\) | |||||||
\(230\) | −8.42868 | + | 7.80544i | −0.555771 | + | 0.514675i | ||||
\(231\) | 2.87847 | − | 14.4711i | 0.189390 | − | 0.952126i | ||||
\(232\) | −3.91321 | − | 3.32401i | −0.256915 | − | 0.218232i | ||||
\(233\) | 3.85912 | − | 0.767627i | 0.252819 | − | 0.0502889i | −0.0670534 | − | 0.997749i | \(-0.521360\pi\) |
0.319873 | + | 0.947460i | \(0.396360\pi\) | |||||||
\(234\) | 1.46034 | + | 9.16698i | 0.0954656 | + | 0.599264i | ||||
\(235\) | −5.30811 | + | 9.93078i | −0.346263 | + | 0.647813i | ||||
\(236\) | 21.1984 | − | 9.31773i | 1.37990 | − | 0.606533i | ||||
\(237\) | 0.240283 | + | 2.43963i | 0.0156080 | + | 0.158471i | ||||
\(238\) | 16.6785 | + | 14.7941i | 1.08110 | + | 0.958957i | ||||
\(239\) | 11.2520 | − | 4.66072i | 0.727830 | − | 0.301477i | 0.0121698 | − | 0.999926i | \(-0.496126\pi\) |
0.715660 | + | 0.698449i | \(0.246126\pi\) | |||||||
\(240\) | −4.21607 | − | 5.75932i | −0.272146 | − | 0.371763i | ||||
\(241\) | −19.5697 | − | 8.10603i | −1.26059 | − | 0.522155i | −0.350502 | − | 0.936562i | \(-0.613989\pi\) |
−0.910092 | + | 0.414407i | \(0.863989\pi\) | |||||||
\(242\) | −1.85812 | − | 3.82215i | −0.119444 | − | 0.245697i | ||||
\(243\) | −0.773010 | − | 0.634393i | −0.0495886 | − | 0.0406963i | ||||
\(244\) | 6.59966 | + | 29.8237i | 0.422500 | + | 1.90926i | ||||
\(245\) | −14.5896 | + | 4.42571i | −0.932096 | + | 0.282748i | ||||
\(246\) | −3.28519 | + | 2.01722i | −0.209456 | + | 0.128613i | ||||
\(247\) | −14.7307 | + | 22.0460i | −0.937290 | + | 1.40275i | ||||
\(248\) | 0.398503 | − | 0.157210i | 0.0253049 | − | 0.00998283i | ||||
\(249\) | −2.44558 | + | 1.63409i | −0.154983 | + | 0.103556i | ||||
\(250\) | 5.96774 | + | 16.1317i | 0.377433 | + | 1.02026i | ||||
\(251\) | 8.29909 | + | 10.1125i | 0.523834 | + | 0.638293i | 0.965970 | − | 0.258655i | \(-0.0832791\pi\) |
−0.442136 | + | 0.896948i | \(0.645779\pi\) | |||||||
\(252\) | 2.12674 | − | 7.59299i | 0.133972 | − | 0.478313i | ||||
\(253\) | −15.0245 | + | 8.03077i | −0.944583 | + | 0.504890i | ||||
\(254\) | 2.13500 | − | 15.5383i | 0.133962 | − | 0.974962i | ||||
\(255\) | −7.13488 | −0.446804 | ||||||||
\(256\) | 7.36603 | + | 14.2036i | 0.460377 | + | 0.887723i | ||||
\(257\) | 23.5319 | 1.46788 | 0.733939 | − | 0.679215i | \(-0.237680\pi\) | ||||
0.733939 | + | 0.679215i | \(0.237680\pi\) | |||||||
\(258\) | 1.37780 | − | 10.0275i | 0.0857778 | − | 0.624283i | ||||
\(259\) | 20.8770 | − | 11.1590i | 1.29723 | − | 0.693385i | ||||
\(260\) | 6.31793 | − | 22.5566i | 0.391822 | − | 1.39890i | ||||
\(261\) | 1.15161 | + | 1.40324i | 0.0712828 | + | 0.0868584i | ||||
\(262\) | −3.89572 | − | 10.5307i | −0.240678 | − | 0.650588i | ||||
\(263\) | 14.4694 | − | 9.66815i | 0.892222 | − | 0.596163i | −0.0227235 | − | 0.999742i | \(-0.507234\pi\) |
0.914945 | + | 0.403578i | \(0.132234\pi\) | |||||||
\(264\) | −3.88443 | − | 9.84643i | −0.239070 | − | 0.606006i | ||||
\(265\) | 7.92556 | − | 11.8614i | 0.486863 | − | 0.728642i | ||||
\(266\) | 19.1935 | − | 11.7855i | 1.17683 | − | 0.722617i | ||||
\(267\) | 8.77036 | − | 2.66046i | 0.536738 | − | 0.162818i | ||||
\(268\) | 1.15361 | + | 5.21312i | 0.0704679 | + | 0.318442i | ||||
\(269\) | −3.03503 | − | 2.49079i | −0.185049 | − | 0.151866i | 0.537308 | − | 0.843386i | \(-0.319441\pi\) |
−0.722357 | + | 0.691520i | \(0.756941\pi\) | |||||||
\(270\) | 1.10332 | + | 2.26954i | 0.0671461 | + | 0.138120i | ||||
\(271\) | −8.82116 | − | 3.65384i | −0.535847 | − | 0.221955i | 0.0983148 | − | 0.995155i | \(-0.468655\pi\) |
−0.634162 | + | 0.773200i | \(0.718655\pi\) | |||||||
\(272\) | 15.8059 | + | 2.44527i | 0.958374 | + | 0.148266i | ||||
\(273\) | 23.9085 | − | 9.90321i | 1.44701 | − | 0.599370i | ||||
\(274\) | −4.76979 | − | 4.23088i | −0.288154 | − | 0.255597i | ||||
\(275\) | 0.666109 | + | 6.76311i | 0.0401679 | + | 0.407831i | ||||
\(276\) | −8.33490 | + | 3.66360i | −0.501702 | + | 0.220523i | ||||
\(277\) | 12.6498 | − | 23.6661i | 0.760051 | − | 1.42196i | −0.141794 | − | 0.989896i | \(-0.545287\pi\) |
0.901845 | − | 0.432060i | \(-0.142213\pi\) | |||||||
\(278\) | 4.60013 | + | 28.8763i | 0.275897 | + | 1.73189i | ||||
\(279\) | −0.148549 | + | 0.0295482i | −0.00889340 | + | 0.00176901i | ||||
\(280\) | −12.8822 | + | 15.1656i | −0.769860 | + | 0.906321i | ||||
\(281\) | −0.412699 | + | 2.07478i | −0.0246196 | + | 0.123771i | −0.991141 | − | 0.132816i | \(-0.957598\pi\) |
0.966521 | + | 0.256587i | \(0.0825980\pi\) | |||||||
\(282\) | −6.54793 | + | 6.06375i | −0.389923 | + | 0.361091i | ||||
\(283\) | −1.35498 | + | 13.7574i | −0.0805453 | + | 0.817791i | 0.867030 | + | 0.498257i | \(0.166026\pi\) |
−0.947575 | + | 0.319534i | \(0.896474\pi\) | |||||||
\(284\) | −6.62714 | − | 20.2723i | −0.393248 | − | 1.20294i | ||||
\(285\) | −2.09240 | + | 6.89773i | −0.123943 | + | 0.408586i | ||||
\(286\) | 17.5389 | − | 29.9859i | 1.03710 | − | 1.77310i | ||||
\(287\) | 7.59952 | + | 7.59952i | 0.448586 | + | 0.448586i | ||||
\(288\) | −1.66638 | − | 5.40585i | −0.0981922 | − | 0.318543i | ||||
\(289\) | −0.715671 | + | 0.715671i | −0.0420983 | + | 0.0420983i | ||||
\(290\) | −1.16062 | − | 4.43145i | −0.0681541 | − | 0.260224i | ||||
\(291\) | −14.9763 | − | 4.54300i | −0.877923 | − | 0.266315i | ||||
\(292\) | −5.99000 | − | 6.98794i | −0.350538 | − | 0.408938i | ||||
\(293\) | 24.5945 | + | 2.42235i | 1.43683 | + | 0.141515i | 0.786241 | − | 0.617919i | \(-0.212024\pi\) |
0.650584 | + | 0.759434i | \(0.274524\pi\) | |||||||
\(294\) | −12.0743 | − | 0.463547i | −0.704189 | − | 0.0270346i | ||||
\(295\) | 20.2626 | + | 4.03048i | 1.17973 | + | 0.234664i | ||||
\(296\) | 8.25804 | − | 14.8394i | 0.479989 | − | 0.862522i | ||||
\(297\) | 0.730094 | + | 3.67043i | 0.0423644 | + | 0.212980i | ||||
\(298\) | −20.5559 | − | 14.9066i | −1.19077 | − | 0.863515i | ||||
\(299\) | −26.3518 | − | 14.0853i | −1.52396 | − | 0.814576i | ||||
\(300\) | 0.0778257 | + | 3.63103i | 0.00449327 | + | 0.209638i | ||||
\(301\) | −28.0818 | + | 2.76582i | −1.61861 | + | 0.159419i | ||||
\(302\) | 1.26333 | + | 21.0998i | 0.0726965 | + | 1.21416i | ||||
\(303\) | −1.94097 | − | 4.68591i | −0.111506 | − | 0.269199i | ||||
\(304\) | 6.99930 | − | 14.5634i | 0.401437 | − | 0.835271i | ||||
\(305\) | −10.4290 | + | 25.1779i | −0.597163 | + | 1.44168i | ||||
\(306\) | −5.34427 | − | 1.84786i | −0.305511 | − | 0.105635i | ||||
\(307\) | 11.0666 | − | 13.4846i | 0.631601 | − | 0.769609i | −0.354625 | − | 0.935009i | \(-0.615392\pi\) |
0.986227 | + | 0.165400i | \(0.0528915\pi\) | |||||||
\(308\) | −24.1790 | + | 16.9164i | −1.37773 | + | 0.963901i | ||||
\(309\) | 0.787922 | + | 2.59743i | 0.0448233 | + | 0.147763i | ||||
\(310\) | 0.371729 | + | 0.0888915i | 0.0211128 | + | 0.00504870i | ||||
\(311\) | −21.5386 | − | 14.3916i | −1.22134 | − | 0.816074i | −0.233623 | − | 0.972327i | \(-0.575058\pi\) |
−0.987717 | + | 0.156254i | \(0.950058\pi\) | |||||||
\(312\) | 10.5743 | − | 15.2594i | 0.598650 | − | 0.863893i | ||||
\(313\) | −16.7798 | − | 25.1127i | −0.948448 | − | 1.41945i | −0.907387 | − | 0.420295i | \(-0.861926\pi\) |
−0.0410602 | − | 0.999157i | \(-0.513074\pi\) | |||||||
\(314\) | 14.2006 | + | 6.53111i | 0.801385 | + | 0.368572i | ||||
\(315\) | 5.43826 | − | 4.46306i | 0.306411 | − | 0.251465i | ||||
\(316\) | 3.02842 | − | 3.85575i | 0.170362 | − | 0.216903i | ||||
\(317\) | 0.908284 | + | 1.69928i | 0.0510143 | + | 0.0954411i | 0.906136 | − | 0.422986i | \(-0.139018\pi\) |
−0.855122 | + | 0.518427i | \(0.826518\pi\) | |||||||
\(318\) | 9.00850 | − | 6.83198i | 0.505172 | − | 0.383119i | ||||
\(319\) | − | 6.79344i | − | 0.380360i | ||||||
\(320\) | −1.87969 | + | 14.1509i | −0.105078 | + | 0.791058i | ||||
\(321\) | − | 13.3521i | − | 0.745239i | ||||||
\(322\) | 15.3376 | + | 20.2238i | 0.854731 | + | 1.12703i | ||||
\(323\) | −7.61399 | − | 14.2448i | −0.423654 | − | 0.792601i | ||||
\(324\) | 0.238640 | + | 1.98571i | 0.0132578 | + | 0.110317i | ||||
\(325\) | −9.21379 | + | 7.56156i | −0.511089 | + | 0.419440i | ||||
\(326\) | 10.3355 | − | 22.4725i | 0.572431 | − | 1.24464i | ||||
\(327\) | −8.58738 | − | 12.8519i | −0.474883 | − | 0.710713i | ||||
\(328\) | 7.53544 | + | 1.63207i | 0.416075 | + | 0.0901160i | ||||
\(329\) | 20.6867 | + | 13.8224i | 1.14050 | + | 0.762056i | ||||
\(330\) | 2.19638 | − | 9.18490i | 0.120907 | − | 0.505612i | ||||
\(331\) | −3.16857 | − | 10.4454i | −0.174160 | − | 0.574130i | −0.999948 | − | 0.0101495i | \(-0.996769\pi\) |
0.825788 | − | 0.563981i | \(-0.190731\pi\) | |||||||
\(332\) | 5.79279 | + | 1.02373i | 0.317921 | + | 0.0561847i | ||||
\(333\) | −3.80902 | + | 4.64131i | −0.208733 | + | 0.254342i | ||||
\(334\) | −6.55391 | + | 18.9548i | −0.358614 | + | 1.03716i | ||||
\(335\) | −1.82297 | + | 4.40105i | −0.0995996 | + | 0.240455i | ||||
\(336\) | −13.5770 | + | 8.02323i | −0.740684 | + | 0.437703i | ||||
\(337\) | −6.10241 | − | 14.7325i | −0.332420 | − | 0.802532i | −0.998399 | − | 0.0565618i | \(-0.981986\pi\) |
0.665980 | − | 0.745970i | \(-0.268014\pi\) | |||||||
\(338\) | 42.4678 | − | 2.54271i | 2.30995 | − | 0.138305i | ||||
\(339\) | −5.41674 | + | 0.533503i | −0.294197 | + | 0.0289759i | ||||
\(340\) | 10.3041 | + | 9.87171i | 0.558821 | + | 0.535369i | ||||
\(341\) | 0.499884 | + | 0.267193i | 0.0270702 | + | 0.0144693i | ||||
\(342\) | −3.35372 | + | 4.62473i | −0.181348 | + | 0.250077i | ||||
\(343\) | 1.18768 | + | 5.97089i | 0.0641289 | + | 0.322398i | ||||
\(344\) | −15.8637 | + | 12.5753i | −0.855311 | + | 0.678016i | ||||
\(345\) | −7.96696 | − | 1.58473i | −0.428927 | − | 0.0853188i | ||||
\(346\) | 1.13167 | − | 29.4774i | 0.0608391 | − | 1.58472i | ||||
\(347\) | −9.72658 | − | 0.957984i | −0.522150 | − | 0.0514273i | −0.166491 | − | 0.986043i | \(-0.553244\pi\) |
−0.355659 | + | 0.934616i | \(0.615744\pi\) | |||||||
\(348\) | 0.278354 | − | 3.61990i | 0.0149214 | − | 0.194047i | ||||
\(349\) | 25.0573 | + | 7.60104i | 1.34128 | + | 0.406874i | 0.877713 | − | 0.479186i | \(-0.159068\pi\) |
0.463571 | + | 0.886060i | \(0.346568\pi\) | |||||||
\(350\) | 9.79470 | − | 2.56529i | 0.523549 | − | 0.137120i | ||||
\(351\) | −4.64129 | + | 4.64129i | −0.247734 | + | 0.247734i | ||||
\(352\) | −8.01350 | + | 19.5946i | −0.427121 | + | 1.04439i | ||||
\(353\) | 18.5306 | + | 18.5306i | 0.986284 | + | 0.986284i | 0.999907 | − | 0.0136234i | \(-0.00433658\pi\) |
−0.0136234 | + | 0.999907i | \(0.504337\pi\) | |||||||
\(354\) | 14.1335 | + | 8.26676i | 0.751188 | + | 0.439373i | ||||
\(355\) | 5.52378 | − | 18.2095i | 0.293172 | − | 0.966458i | ||||
\(356\) | −16.3471 | − | 8.29232i | −0.866393 | − | 0.439492i | ||||
\(357\) | −1.54519 | + | 15.6885i | −0.0817799 | + | 0.830325i | ||||
\(358\) | 5.41728 | + | 5.84983i | 0.286312 | + | 0.309173i | ||||
\(359\) | −2.24449 | + | 11.2838i | −0.118460 | + | 0.595538i | 0.875261 | + | 0.483651i | \(0.160689\pi\) |
−0.993721 | + | 0.111887i | \(0.964311\pi\) | |||||||
\(360\) | 1.54669 | − | 4.80420i | 0.0815176 | − | 0.253203i | ||||
\(361\) | 2.63070 | − | 0.523278i | 0.138458 | − | 0.0275410i | ||||
\(362\) | 12.0707 | − | 1.92292i | 0.634422 | − | 0.101066i | ||||
\(363\) | 1.41660 | − | 2.65027i | 0.0743523 | − | 0.139103i | ||||
\(364\) | −48.2304 | − | 18.7772i | −2.52796 | − | 0.984194i | ||||
\(365\) | −0.804886 | − | 8.17214i | −0.0421296 | − | 0.427749i | ||||
\(366\) | −14.3325 | + | 16.1581i | −0.749171 | + | 0.844596i | ||||
\(367\) | −15.5635 | + | 6.44661i | −0.812407 | + | 0.336510i | −0.749914 | − | 0.661535i | \(-0.769905\pi\) |
−0.0624932 | + | 0.998045i | \(0.519905\pi\) | |||||||
\(368\) | 17.1061 | + | 6.24109i | 0.891717 | + | 0.325339i | ||||
\(369\) | −2.51845 | − | 1.04318i | −0.131105 | − | 0.0543056i | ||||
\(370\) | 13.6268 | − | 6.62457i | 0.708422 | − | 0.344395i | ||||
\(371\) | −24.3651 | − | 19.9959i | −1.26497 | − | 1.03814i | ||||
\(372\) | 0.255416 | + | 0.162857i | 0.0132427 | + | 0.00844373i | ||||
\(373\) | −15.3327 | + | 4.65113i | −0.793898 | + | 0.240826i | −0.661081 | − | 0.750314i | \(-0.729902\pi\) |
−0.132817 | + | 0.991141i | \(0.542402\pi\) | |||||||
\(374\) | 11.0732 | + | 18.0335i | 0.572583 | + | 0.932491i | ||||
\(375\) | −6.75702 | + | 10.1126i | −0.348931 | + | 0.522212i | ||||
\(376\) | 17.8462 | + | 0.302380i | 0.920346 | + | 0.0155941i | ||||
\(377\) | 9.90709 | − | 6.61971i | 0.510241 | − | 0.340932i | ||||
\(378\) | 5.22932 | − | 1.93453i | 0.268967 | − | 0.0995017i | ||||
\(379\) | −16.0830 | − | 19.5972i | −0.826129 | − | 1.00664i | −0.999762 | − | 0.0218310i | \(-0.993050\pi\) |
0.173632 | − | 0.984811i | \(-0.444450\pi\) | |||||||
\(380\) | 12.5654 | − | 7.06664i | 0.644593 | − | 0.362511i | ||||
\(381\) | 9.78094 | − | 5.22802i | 0.501093 | − | 0.267840i | ||||
\(382\) | 15.2243 | + | 2.09185i | 0.778943 | + | 0.107028i | ||||
\(383\) | 28.8724 | 1.47531 | 0.737656 | − | 0.675176i | \(-0.235933\pi\) | ||||
0.737656 | + | 0.675176i | \(0.235933\pi\) | |||||||
\(384\) | −5.07287 | + | 10.1127i | −0.258874 | + | 0.516060i | ||||
\(385\) | −26.3280 | −1.34180 | ||||||||
\(386\) | 12.0788 | + | 1.65965i | 0.614794 | + | 0.0844740i | ||||
\(387\) | 6.31201 | − | 3.37384i | 0.320858 | − | 0.171502i | ||||
\(388\) | 15.3430 | + | 27.2819i | 0.778922 | + | 1.38503i | ||||
\(389\) | −12.2744 | − | 14.9565i | −0.622339 | − | 0.758323i | 0.362464 | − | 0.931998i | \(-0.381936\pi\) |
−0.984803 | + | 0.173675i | \(0.944436\pi\) | |||||||
\(390\) | 15.5348 | − | 5.74695i | 0.786637 | − | 0.291008i | ||||
\(391\) | 15.1345 | − | 10.1126i | 0.765387 | − | 0.511415i | ||||
\(392\) | 16.7963 | + | 17.3753i | 0.848341 | + | 0.877585i | ||||
\(393\) | 4.41096 | − | 6.60147i | 0.222503 | − | 0.333000i | ||||
\(394\) | 11.3293 | + | 18.4505i | 0.570762 | + | 0.929525i | ||||
\(395\) | 4.18597 | − | 1.26980i | 0.210619 | − | 0.0638907i | ||||
\(396\) | 4.02396 | − | 6.31096i | 0.202211 | − | 0.317138i | ||||
\(397\) | 19.1560 | + | 15.7209i | 0.961410 | + | 0.789009i | 0.977516 | − | 0.210861i | \(-0.0676269\pi\) |
−0.0161059 | + | 0.999870i | \(0.505127\pi\) | |||||||
\(398\) | −15.5994 | + | 7.58358i | −0.781929 | + | 0.380130i | ||||
\(399\) | 14.7139 | + | 6.09471i | 0.736618 | + | 0.305117i | ||||
\(400\) | 4.91144 | − | 5.35159i | 0.245572 | − | 0.267579i | ||||
\(401\) | −15.5917 | + | 6.45830i | −0.778613 | + | 0.322512i | −0.736356 | − | 0.676595i | \(-0.763455\pi\) |
−0.0422574 | + | 0.999107i | \(0.513455\pi\) | |||||||
\(402\) | −2.50529 | + | 2.82440i | −0.124953 | + | 0.140868i | ||||
\(403\) | 0.0974431 | + | 0.989357i | 0.00485399 | + | 0.0492834i | ||||
\(404\) | −3.68022 | + | 9.45286i | −0.183098 | + | 0.470297i | ||||
\(405\) | −0.841158 | + | 1.57370i | −0.0417975 | + | 0.0781976i | ||||
\(406\) | −9.99546 | + | 1.59232i | −0.496066 | + | 0.0790257i | ||||
\(407\) | 22.0380 | − | 4.38363i | 1.09238 | − | 0.217288i | ||||
\(408\) | 5.16149 | + | 10.0629i | 0.255532 | + | 0.498188i | ||||
\(409\) | 1.88636 | − | 9.48335i | 0.0932743 | − | 0.468921i | −0.905712 | − | 0.423895i | \(-0.860663\pi\) |
0.998986 | − | 0.0450268i | \(-0.0143373\pi\) | |||||||
\(410\) | 4.67399 | + | 5.04720i | 0.230832 | + | 0.249263i | ||||
\(411\) | 0.441900 | − | 4.48669i | 0.0217973 | − | 0.221312i | ||||
\(412\) | 2.45585 | − | 4.84135i | 0.120991 | − | 0.238516i | ||||
\(413\) | 13.2506 | − | 43.6815i | 0.652022 | − | 2.14943i | ||||
\(414\) | −5.55709 | − | 3.25037i | −0.273116 | − | 0.159747i | ||||
\(415\) | 3.71118 | + | 3.71118i | 0.182175 | + | 0.182175i | ||||
\(416\) | −36.3840 | + | 7.40713i | −1.78387 | + | 0.363164i | ||||
\(417\) | −14.6202 | + | 14.6202i | −0.715955 | + | 0.715955i | ||||
\(418\) | 20.6815 | − | 5.41660i | 1.01157 | − | 0.264935i | ||||
\(419\) | −29.4538 | − | 8.93472i | −1.43891 | − | 0.436490i | −0.528056 | − | 0.849210i | \(-0.677079\pi\) |
−0.910858 | + | 0.412720i | \(0.864579\pi\) | |||||||
\(420\) | −14.0289 | − | 1.07876i | −0.684541 | − | 0.0526382i | ||||
\(421\) | 33.5677 | + | 3.30613i | 1.63599 | + | 0.161131i | 0.873822 | − | 0.486246i | \(-0.161634\pi\) |
0.762170 | + | 0.647377i | \(0.224134\pi\) | |||||||
\(422\) | 0.0823831 | − | 2.14589i | 0.00401035 | − | 0.104460i | ||||
\(423\) | −6.18923 | − | 1.23111i | −0.300931 | − | 0.0598588i | ||||
\(424\) | −22.4626 | − | 2.59731i | −1.09088 | − | 0.126137i | ||||
\(425\) | −1.41655 | − | 7.12146i | −0.0687126 | − | 0.345442i | ||||
\(426\) | 8.85356 | − | 12.2089i | 0.428956 | − | 0.591524i | ||||
\(427\) | 53.1037 | + | 28.3845i | 2.56987 | + | 1.37362i | ||||
\(428\) | −18.4737 | + | 19.2830i | −0.892960 | + | 0.932077i | ||||
\(429\) | 24.4456 | − | 2.40768i | 1.18024 | − | 0.116244i | ||||
\(430\) | −18.0288 | + | 1.07945i | −0.869427 | + | 0.0520559i | ||||
\(431\) | −12.0578 | − | 29.1101i | −0.580803 | − | 1.40218i | −0.892086 | − | 0.451865i | \(-0.850759\pi\) |
0.311283 | − | 0.950317i | \(-0.399241\pi\) | |||||||
\(432\) | 2.40276 | − | 3.19793i | 0.115603 | − | 0.153860i | ||||
\(433\) | 7.29294 | − | 17.6067i | 0.350476 | − | 0.846125i | −0.646085 | − | 0.763266i | \(-0.723595\pi\) |
0.996561 | − | 0.0828594i | \(-0.0264052\pi\) | |||||||
\(434\) | 0.275964 | − | 0.798126i | 0.0132467 | − | 0.0383113i | ||||
\(435\) | 2.05493 | − | 2.50394i | 0.0985262 | − | 0.120055i | ||||
\(436\) | −5.37988 | + | 30.4420i | −0.257650 | + | 1.45791i | ||||
\(437\) | −5.33804 | − | 17.5972i | −0.255353 | − | 0.841786i | ||||
\(438\) | 1.51361 | − | 6.32967i | 0.0723231 | − | 0.302443i | ||||
\(439\) | 16.1908 | + | 10.8184i | 0.772747 | + | 0.516333i | 0.878317 | − | 0.478079i | \(-0.158667\pi\) |
−0.105570 | + | 0.994412i | \(0.533667\pi\) | |||||||
\(440\) | −15.8801 | + | 10.2259i | −0.757053 | + | 0.487500i | ||||
\(441\) | −4.74686 | − | 7.10418i | −0.226041 | − | 0.338294i | ||||
\(442\) | −15.5088 | + | 33.7208i | −0.737679 | + | 1.60393i | ||||
\(443\) | −12.6856 | + | 10.4108i | −0.602712 | + | 0.494633i | −0.885556 | − | 0.464533i | \(-0.846222\pi\) |
0.282844 | + | 0.959166i | \(0.408722\pi\) | |||||||
\(444\) | 11.9226 | − | 1.43284i | 0.565822 | − | 0.0679996i | ||||
\(445\) | −7.70922 | − | 14.4229i | −0.365452 | − | 0.683713i | ||||
\(446\) | −3.20102 | − | 4.22079i | −0.151573 | − | 0.199860i | ||||
\(447\) | − | 17.9548i | − | 0.849234i | ||||||
\(448\) | 30.7086 | + | 7.19778i | 1.45084 | + | 0.340063i | ||||
\(449\) | 6.79111i | 0.320492i | 0.987077 | + | 0.160246i | \(0.0512288\pi\) | ||||
−0.987077 | + | 0.160246i | \(0.948771\pi\) | |||||||
\(450\) | −2.04622 | + | 1.55184i | −0.0964597 | + | 0.0731544i | ||||
\(451\) | 4.80893 | + | 8.99687i | 0.226443 | + | 0.423646i | ||||
\(452\) | 8.56097 | + | 6.72404i | 0.402674 | + | 0.316272i | ||||
\(453\) | −11.5538 | + | 9.48200i | −0.542847 | + | 0.445503i | ||||
\(454\) | −36.8054 | − | 16.9275i | −1.72736 | − | 0.794446i | ||||
\(455\) | −25.6547 | − | 38.3949i | −1.20271 | − | 1.79998i | ||||
\(456\) | 11.2421 | − | 2.03884i | 0.526460 | − | 0.0954775i | ||||
\(457\) | 8.07863 | + | 5.39797i | 0.377902 | + | 0.252506i | 0.729986 | − | 0.683462i | \(-0.239527\pi\) |
−0.352083 | + | 0.935969i | \(0.614527\pi\) | |||||||
\(458\) | 3.86883 | + | 0.925152i | 0.180779 | + | 0.0432295i | ||||
\(459\) | −1.16070 | − | 3.82631i | −0.0541768 | − | 0.178597i | ||||
\(460\) | 9.31323 | + | 13.3116i | 0.434231 | + | 0.620657i | ||||
\(461\) | 12.6400 | − | 15.4018i | 0.588702 | − | 0.717335i | −0.390414 | − | 0.920639i | \(-0.627668\pi\) |
0.979116 | + | 0.203304i | \(0.0651681\pi\) | |||||||
\(462\) | −19.7206 | − | 6.81867i | −0.917483 | − | 0.317233i | ||||
\(463\) | −6.47138 | + | 15.6233i | −0.300751 | + | 0.726076i | 0.699187 | + | 0.714939i | \(0.253545\pi\) |
−0.999938 | + | 0.0111378i | \(0.996455\pi\) | |||||||
\(464\) | −5.41043 | + | 4.84271i | −0.251173 | + | 0.224817i | ||||
\(465\) | 0.103425 | + | 0.249691i | 0.00479623 | + | 0.0115791i | ||||
\(466\) | −0.332575 | − | 5.55460i | −0.0154062 | − | 0.257312i | ||||
\(467\) | −19.7365 | + | 1.94388i | −0.913298 | + | 0.0899520i | −0.543738 | − | 0.839255i | \(-0.682991\pi\) |
−0.369560 | + | 0.929207i | \(0.620491\pi\) | |||||||
\(468\) | 13.1245 | − | 0.281304i | 0.606681 | − | 0.0130033i | ||||
\(469\) | 9.28244 | + | 4.96157i | 0.428623 | + | 0.229104i | ||||
\(470\) | 12.8917 | + | 9.34868i | 0.594649 | + | 0.431223i | ||||
\(471\) | 2.15622 | + | 10.8401i | 0.0993534 | + | 0.499483i | ||||
\(472\) | −8.97377 | − | 31.4937i | −0.413051 | − | 1.44962i | ||||
\(473\) | −26.2697 | − | 5.22537i | −1.20788 | − | 0.240263i | ||||
\(474\) | 3.46430 | + | 0.132998i | 0.159121 | + | 0.00610882i | ||||
\(475\) | −7.30018 | − | 0.719005i | −0.334955 | − | 0.0329902i | ||||
\(476\) | 23.9380 | − | 20.5194i | 1.09719 | − | 0.940504i | ||||
\(477\) | 7.65041 | + | 2.32073i | 0.350288 | + | 0.106259i | ||||
\(478\) | −4.36382 | − | 16.6618i | −0.199596 | − | 0.762093i | ||||
\(479\) | 9.30545 | − | 9.30545i | 0.425177 | − | 0.425177i | −0.461805 | − | 0.886982i | \(-0.652798\pi\) |
0.886982 | + | 0.461805i | \(0.152798\pi\) | |||||||
\(480\) | −8.88073 | + | 4.79822i | −0.405348 | + | 0.219008i | ||||
\(481\) | 27.8672 | + | 27.8672i | 1.27063 | + | 1.27063i | ||||
\(482\) | −15.1243 | + | 25.8576i | −0.688891 | + | 1.17778i | ||||
\(483\) | −5.20996 | + | 17.1749i | −0.237062 | + | 0.781487i | ||||
\(484\) | −5.71272 | + | 1.86752i | −0.259669 | + | 0.0848873i | ||||
\(485\) | −2.73723 | + | 27.7916i | −0.124291 | + | 1.26195i | ||||
\(486\) | −1.03763 | + | 0.960901i | −0.0470677 | + | 0.0435874i | ||||
\(487\) | 3.74420 | − | 18.8233i | 0.169666 | − | 0.852967i | −0.798372 | − | 0.602164i | \(-0.794305\pi\) |
0.968038 | − | 0.250803i | \(-0.0806947\pi\) | |||||||
\(488\) | 43.0549 | − | 3.50518i | 1.94900 | − | 0.158672i | ||||
\(489\) | 17.1544 | − | 3.41223i | 0.775750 | − | 0.154306i | ||||
\(490\) | 3.39203 | + | 21.2927i | 0.153237 | + | 0.961908i | ||||
\(491\) | −0.877842 | + | 1.64233i | −0.0396164 | + | 0.0741171i | −0.900951 | − | 0.433922i | \(-0.857129\pi\) |
0.861334 | + | 0.508039i | \(0.169629\pi\) | |||||||
\(492\) | 2.19381 | + | 4.99104i | 0.0989045 | + | 0.225013i | ||||
\(493\) | 0.711450 | + | 7.22347i | 0.0320421 | + | 0.325329i | ||||
\(494\) | 28.0518 | + | 24.8824i | 1.26211 | + | 1.11951i | ||||
\(495\) | 6.16950 | − | 2.55549i | 0.277298 | − | 0.114861i | ||||
\(496\) | −0.143544 | − | 0.588586i | −0.00644532 | − | 0.0264283i | ||||
\(497\) | −38.8436 | − | 16.0896i | −1.74237 | − | 0.721715i | ||||
\(498\) | 1.81864 | + | 3.74096i | 0.0814954 | + | 0.167636i | ||||
\(499\) | −13.3440 | − | 10.9511i | −0.597360 | − | 0.490241i | 0.286445 | − | 0.958097i | \(-0.407527\pi\) |
−0.883805 | + | 0.467856i | \(0.845027\pi\) | |||||||
\(500\) | 23.7501 | − | 5.25564i | 1.06214 | − | 0.235039i | ||||
\(501\) | −13.5710 | + | 4.11672i | −0.606309 | + | 0.183922i | ||||
\(502\) | 15.7657 | − | 9.68072i | 0.703658 | − | 0.432072i | ||||
\(503\) | −7.39402 | + | 11.0659i | −0.329683 | + | 0.493405i | −0.958869 | − | 0.283850i | \(-0.908388\pi\) |
0.629186 | + | 0.777255i | \(0.283388\pi\) | |||||||
\(504\) | −10.2287 | − | 4.44137i | −0.455625 | − | 0.197834i | ||||
\(505\) | −7.52517 | + | 5.02816i | −0.334866 | + | 0.223750i | ||||
\(506\) | 8.35919 | + | 22.5961i | 0.371611 | + | 1.00452i | ||||
\(507\) | 19.0845 | + | 23.2545i | 0.847572 | + | 1.03277i | ||||
\(508\) | −21.3590 | − | 5.98248i | −0.947652 | − | 0.265430i | ||||
\(509\) | −8.76128 | + | 4.68300i | −0.388337 | + | 0.207570i | −0.653998 | − | 0.756496i | \(-0.726910\pi\) |
0.265662 | + | 0.964066i | \(0.414410\pi\) | |||||||
\(510\) | −1.37352 | + | 9.99632i | −0.0608203 | + | 0.442645i | ||||
\(511\) | −18.1436 | −0.802627 | ||||||||
\(512\) | 21.3179 | − | 7.58589i | 0.942128 | − | 0.335252i | ||||
\(513\) | −4.03953 | −0.178349 | ||||||||
\(514\) | 4.53006 | − | 32.9693i | 0.199812 | − | 1.45422i | ||||
\(515\) | 4.27149 | − | 2.28316i | 0.188225 | − | 0.100608i | ||||
\(516\) | −13.7838 | − | 3.86072i | −0.606796 | − | 0.169959i | ||||
\(517\) | 14.9818 | + | 18.2554i | 0.658900 | + | 0.802871i | ||||
\(518\) | −11.6153 | − | 31.3979i | −0.510348 | − | 1.37954i | ||||
\(519\) | 17.3437 | − | 11.5887i | 0.761303 | − | 0.508686i | ||||
\(520\) | −30.3867 | − | 13.1941i | −1.33255 | − | 0.578597i | ||||
\(521\) | −1.59889 | + | 2.39291i | −0.0700487 | + | 0.104835i | −0.864840 | − | 0.502047i | \(-0.832580\pi\) |
0.794791 | + | 0.606883i | \(0.207580\pi\) | |||||||
\(522\) | 2.18770 | − | 1.34333i | 0.0957531 | − | 0.0587959i | ||||
\(523\) | 1.10433 | − | 0.334994i | 0.0482888 | − | 0.0146482i | −0.266048 | − | 0.963960i | \(-0.585718\pi\) |
0.314337 | + | 0.949312i | \(0.398218\pi\) | |||||||
\(524\) | −15.5040 | + | 3.43086i | −0.677294 | + | 0.149878i | ||||
\(525\) | 5.53437 | + | 4.54194i | 0.241540 | + | 0.198226i | ||||
\(526\) | −10.7601 | − | 22.1335i | −0.469162 | − | 0.965068i | ||||
\(527\) | −0.559509 | − | 0.231756i | −0.0243726 | − | 0.0100955i | ||||
\(528\) | −14.5431 | + | 3.54677i | −0.632908 | + | 0.154353i | ||||
\(529\) | −2.10357 | + | 0.871328i | −0.0914597 | + | 0.0378838i | ||||
\(530\) | −15.0927 | − | 13.3875i | −0.655587 | − | 0.581517i | ||||
\(531\) | 1.13483 | + | 11.5222i | 0.0492475 | + | 0.500019i | ||||
\(532\) | −12.8172 | − | 29.1599i | −0.555697 | − | 1.26424i | ||||
\(533\) | −8.43448 | + | 15.7798i | −0.365338 | + | 0.683499i | ||||
\(534\) | −2.03908 | − | 12.7999i | −0.0882396 | − | 0.553905i | ||||
\(535\) | −23.3676 | + | 4.64810i | −1.01027 | + | 0.200955i | ||||
\(536\) | 7.52592 | − | 0.612699i | 0.325070 | − | 0.0264646i | ||||
\(537\) | −1.09986 | + | 5.52938i | −0.0474625 | + | 0.238610i | ||||
\(538\) | −4.07398 | + | 3.77274i | −0.175642 | + | 0.162654i | ||||
\(539\) | −3.13410 | + | 31.8211i | −0.134995 | + | 1.37063i | ||||
\(540\) | 3.39214 | − | 1.10891i | 0.145974 | − | 0.0477198i | ||||
\(541\) | 1.19441 | − | 3.93744i | 0.0513517 | − | 0.169284i | −0.927514 | − | 0.373789i | \(-0.878058\pi\) |
0.978866 | + | 0.204505i | \(0.0655585\pi\) | |||||||
\(542\) | −6.81735 | + | 11.6555i | −0.292830 | + | 0.500646i | ||||
\(543\) | 6.11145 | + | 6.11145i | 0.262267 | + | 0.262267i | ||||
\(544\) | 6.46869 | − | 21.6741i | 0.277343 | − | 0.929271i | ||||
\(545\) | −19.5028 | + | 19.5028i | −0.835410 | + | 0.835410i | ||||
\(546\) | −9.27234 | − | 35.4034i | −0.396820 | − | 1.51513i | ||||
\(547\) | 6.26152 | + | 1.89941i | 0.267723 | + | 0.0812130i | 0.421292 | − | 0.906925i | \(-0.361577\pi\) |
−0.153569 | + | 0.988138i | \(0.549077\pi\) | |||||||
\(548\) | −6.84590 | + | 5.86824i | −0.292442 | + | 0.250679i | ||||
\(549\) | −15.1990 | − | 1.49697i | −0.648679 | − | 0.0638893i | ||||
\(550\) | 9.60369 | + | 0.368696i | 0.409503 | + | 0.0157213i | ||||
\(551\) | 7.19202 | + | 1.43058i | 0.306390 | + | 0.0609448i | ||||
\(552\) | 3.52836 | + | 12.3829i | 0.150177 | + | 0.527050i | ||||
\(553\) | −1.88556 | − | 9.47933i | −0.0801820 | − | 0.403102i | ||||
\(554\) | −30.7222 | − | 22.2789i | −1.30526 | − | 0.946538i | ||||
\(555\) | 9.44878 | + | 5.05048i | 0.401078 | + | 0.214381i | ||||
\(556\) | 41.3427 | − | 0.886118i | 1.75332 | − | 0.0375798i | ||||
\(557\) | 13.1818 | − | 1.29829i | 0.558531 | − | 0.0550105i | 0.185187 | − | 0.982703i | \(-0.440711\pi\) |
0.373344 | + | 0.927693i | \(0.378211\pi\) | |||||||
\(558\) | 0.0128018 | + | 0.213813i | 0.000541944 | + | 0.00905142i | ||||
\(559\) | −17.9776 | − | 43.4017i | −0.760370 | − | 1.83570i | ||||
\(560\) | 18.7679 | + | 20.9681i | 0.793089 | + | 0.886065i | ||||
\(561\) | −5.72636 | + | 13.8247i | −0.241767 | + | 0.583677i | ||||
\(562\) | 2.82742 | + | 0.977623i | 0.119268 | + | 0.0412385i | ||||
\(563\) | −14.8656 | + | 18.1138i | −0.626509 | + | 0.763404i | −0.985452 | − | 0.169956i | \(-0.945637\pi\) |
0.358942 | + | 0.933360i | \(0.383137\pi\) | |||||||
\(564\) | 7.23509 | + | 10.3413i | 0.304652 | + | 0.435447i | ||||
\(565\) | 2.81936 | + | 9.29417i | 0.118611 | + | 0.391009i | ||||
\(566\) | 19.0139 | + | 4.54679i | 0.799214 | + | 0.191116i | ||||
\(567\) | 3.27816 | + | 2.19039i | 0.137670 | + | 0.0919879i | ||||
\(568\) | −29.6783 | + | 5.38238i | −1.24527 | + | 0.225840i | ||||
\(569\) | −5.45457 | − | 8.16334i | −0.228667 | − | 0.342225i | 0.699338 | − | 0.714791i | \(-0.253478\pi\) |
−0.928006 | + | 0.372566i | \(0.878478\pi\) | |||||||
\(570\) | 9.26126 | + | 4.25943i | 0.387912 | + | 0.178408i | ||||
\(571\) | −24.4896 | + | 20.0981i | −1.02486 | + | 0.841079i | −0.987404 | − | 0.158220i | \(-0.949425\pi\) |
−0.0374534 | + | 0.999298i | \(0.511925\pi\) | |||||||
\(572\) | −38.6354 | − | 30.3454i | −1.61543 | − | 1.26880i | ||||
\(573\) | 5.12236 | + | 9.58327i | 0.213990 | + | 0.400347i | ||||
\(574\) | 12.1103 | − | 9.18435i | 0.505473 | − | 0.383347i | ||||
\(575\) | − | 8.26660i | − | 0.344741i | ||||||
\(576\) | −7.89465 | + | 1.29401i | −0.328944 | + | 0.0539172i | ||||
\(577\) | − | 21.3414i | − | 0.888455i | −0.895914 | − | 0.444227i | \(-0.853478\pi\) | ||
0.895914 | − | 0.444227i | \(-0.146522\pi\) | |||||||
\(578\) | 0.864920 | + | 1.14046i | 0.0359759 | + | 0.0474370i | ||||
\(579\) | 4.06403 | + | 7.60326i | 0.168895 | + | 0.315981i | ||||
\(580\) | −6.43212 | + | 0.773003i | −0.267079 | + | 0.0320972i | ||||
\(581\) | 8.96405 | − | 7.35661i | 0.371892 | − | 0.305204i | ||||
\(582\) | −9.24800 | + | 20.1079i | −0.383342 | + | 0.833500i | ||||
\(583\) | −16.6220 | − | 24.8765i | −0.688411 | − | 1.03028i | ||||
\(584\) | −10.9436 | + | 7.04706i | −0.452848 | + | 0.291609i | ||||
\(585\) | 9.73847 | + | 6.50704i | 0.402636 | + | 0.269033i | ||||
\(586\) | 8.12844 | − | 33.9918i | 0.335783 | − | 1.40419i | ||||
\(587\) | 3.99769 | + | 13.1786i | 0.165002 | + | 0.543940i | 0.999980 | − | 0.00634426i | \(-0.00201945\pi\) |
−0.834978 | + | 0.550284i | \(0.814519\pi\) | |||||||
\(588\) | −2.97385 | + | 16.8275i | −0.122639 | + | 0.693954i | ||||
\(589\) | −0.388137 | + | 0.472946i | −0.0159929 | + | 0.0194874i | ||||
\(590\) | 9.54760 | − | 27.6130i | 0.393068 | − | 1.13681i | ||||
\(591\) | −5.85878 | + | 14.1443i | −0.240998 | + | 0.581821i | ||||
\(592\) | −19.2010 | − | 14.4266i | −0.789156 | − | 0.592930i | ||||
\(593\) | −12.9909 | − | 31.3628i | −0.533473 | − | 1.28792i | −0.929210 | − | 0.369553i | \(-0.879511\pi\) |
0.395737 | − | 0.918364i | \(-0.370489\pi\) | |||||||
\(594\) | 5.28301 | − | 0.316314i | 0.216764 | − | 0.0129785i | ||||
\(595\) | 27.9946 | − | 2.75722i | 1.14766 | − | 0.113035i | ||||
\(596\) | −24.8420 | + | 25.9303i | −1.01757 | + | 1.06214i | ||||
\(597\) | −10.8166 | − | 5.78161i | −0.442695 | − | 0.236626i | ||||
\(598\) | −24.8072 | + | 34.2087i | −1.01444 | + | 1.39890i | ||||
\(599\) | −4.63786 | − | 23.3161i | −0.189498 | − | 0.952670i | −0.952097 | − | 0.305798i | \(-0.901077\pi\) |
0.762599 | − | 0.646872i | \(-0.223923\pi\) | |||||||
\(600\) | 5.10224 | + | 0.589962i | 0.208298 | + | 0.0240851i | ||||
\(601\) | 26.1177 | + | 5.19512i | 1.06536 | + | 0.211914i | 0.696490 | − | 0.717567i | \(-0.254744\pi\) |
0.368872 | + | 0.929480i | \(0.379744\pi\) | |||||||
\(602\) | −1.53090 | + | 39.8764i | −0.0623949 | + | 1.62524i | ||||
\(603\) | −2.65676 | − | 0.261668i | −0.108192 | − | 0.0106560i | ||||
\(604\) | 29.8051 | + | 2.29188i | 1.21275 | + | 0.0932554i | ||||
\(605\) | −5.13141 | − | 1.55660i | −0.208622 | − | 0.0632847i | ||||
\(606\) | −6.93885 | + | 1.81732i | −0.281871 | + | 0.0738237i | ||||
\(607\) | −0.468586 | + | 0.468586i | −0.0190193 | + | 0.0190193i | −0.716552 | − | 0.697533i | \(-0.754281\pi\) |
0.697533 | + | 0.716552i | \(0.254281\pi\) | |||||||
\(608\) | −19.0567 | − | 12.6099i | −0.772851 | − | 0.511400i | ||||
\(609\) | −5.06075 | − | 5.06075i | −0.205072 | − | 0.205072i | ||||
\(610\) | 33.2678 | + | 19.4585i | 1.34697 | + | 0.787851i | ||||
\(611\) | −12.0238 | + | 39.6370i | −0.486429 | + | 1.60354i | ||||
\(612\) | −3.61775 | + | 7.13186i | −0.146239 | + | 0.288288i | ||||
\(613\) | −0.755117 | + | 7.66683i | −0.0304989 | + | 0.309660i | 0.967817 | + | 0.251654i | \(0.0809744\pi\) |
−0.998316 | + | 0.0580066i | \(0.981526\pi\) | |||||||
\(614\) | −16.7623 | − | 18.1007i | −0.676469 | − | 0.730484i | ||||
\(615\) | −0.948954 | + | 4.77071i | −0.0382655 | + | 0.192374i | ||||
\(616\) | 19.0461 | + | 37.1325i | 0.767389 | + | 1.49611i | ||||
\(617\) | −14.1892 | + | 2.82241i | −0.571235 | + | 0.113626i | −0.472252 | − | 0.881463i | \(-0.656559\pi\) |
−0.0989829 | + | 0.995089i | \(0.531559\pi\) | |||||||
\(618\) | 3.79081 | − | 0.603894i | 0.152489 | − | 0.0242922i | ||||
\(619\) | −7.11777 | + | 13.3164i | −0.286087 | + | 0.535232i | −0.983381 | − | 0.181554i | \(-0.941887\pi\) |
0.697294 | + | 0.716785i | \(0.254387\pi\) | |||||||
\(620\) | 0.196102 | − | 0.503699i | 0.00787565 | − | 0.0202291i | ||||
\(621\) | −0.446200 | − | 4.53034i | −0.0179054 | − | 0.181796i | ||||
\(622\) | −24.3097 | + | 27.4061i | −0.974730 | + | 1.09889i | ||||
\(623\) | −33.3835 | + | 13.8279i | −1.33748 | + | 0.554002i | ||||
\(624\) | −19.3436 | − | 17.7526i | −0.774362 | − | 0.710674i | ||||
\(625\) | 11.6619 | + | 4.83051i | 0.466475 | + | 0.193220i | ||||
\(626\) | −38.4143 | + | 18.6749i | −1.53535 | + | 0.746399i | ||||
\(627\) | 11.6858 | + | 9.59030i | 0.466687 | + | 0.383000i | ||||
\(628\) | 11.8841 | − | 18.6384i | 0.474228 | − | 0.743755i | ||||
\(629\) | −22.9739 | + | 6.96906i | −0.916030 | + | 0.277875i | ||||
\(630\) | −5.20607 | − | 8.47844i | −0.207415 | − | 0.337789i | ||||
\(631\) | 9.61773 | − | 14.3939i | 0.382876 | − | 0.573014i | −0.589110 | − | 0.808053i | \(-0.700522\pi\) |
0.971986 | + | 0.235039i | \(0.0755217\pi\) | |||||||
\(632\) | −4.81911 | − | 4.98523i | −0.191694 | − | 0.198302i | ||||
\(633\) | 1.26258 | − | 0.843628i | 0.0501830 | − | 0.0335312i | ||||
\(634\) | 2.55563 | − | 0.945428i | 0.101497 | − | 0.0375477i | ||||
\(635\) | −12.5545 | − | 15.2977i | −0.498212 | − | 0.607073i | ||||
\(636\) | −7.83775 | − | 13.9366i | −0.310787 | − | 0.552621i | ||||
\(637\) | −49.4596 | + | 26.4367i | −1.95966 | + | 1.04746i | ||||
\(638\) | −9.51795 | − | 1.30779i | −0.376819 | − | 0.0517758i | ||||
\(639\) | 10.6640 | 0.421862 | ||||||||
\(640\) | 19.4642 | + | 5.35768i | 0.769391 | + | 0.211781i | ||||
\(641\) | −25.1023 | −0.991483 | −0.495741 | − | 0.868470i | \(-0.665104\pi\) | ||||
−0.495741 | + | 0.868470i | \(0.665104\pi\) | |||||||
\(642\) | −18.7069 | − | 2.57037i | −0.738302 | − | 0.101444i | ||||
\(643\) | 23.4824 | − | 12.5516i | 0.926054 | − | 0.494986i | 0.0618263 | − | 0.998087i | \(-0.480308\pi\) |
0.864228 | + | 0.503101i | \(0.167808\pi\) | |||||||
\(644\) | 31.2872 | − | 17.5955i | 1.23289 | − | 0.693361i | ||||
\(645\) | −8.10192 | − | 9.87221i | −0.319013 | − | 0.388718i | ||||
\(646\) | −21.4234 | + | 7.92536i | −0.842892 | + | 0.311819i | ||||
\(647\) | −5.99339 | + | 4.00465i | −0.235624 | + | 0.157439i | −0.667777 | − | 0.744361i | \(-0.732754\pi\) |
0.432153 | + | 0.901800i | \(0.357754\pi\) | |||||||
\(648\) | 2.82802 | + | 0.0479171i | 0.111095 | + | 0.00188236i | ||||
\(649\) | 24.0720 | − | 36.0263i | 0.944909 | − | 1.41416i | ||||
\(650\) | 8.82041 | + | 14.3646i | 0.345965 | + | 0.563427i | ||||
\(651\) | 0.571431 | − | 0.173342i | 0.0223962 | − | 0.00679380i | ||||
\(652\) | −29.4954 | − | 18.8067i | −1.15513 | − | 0.736527i | ||||
\(653\) | 25.0158 | + | 20.5299i | 0.978942 | + | 0.803397i | 0.980483 | − | 0.196602i | \(-0.0629906\pi\) |
−0.00154129 | + | 0.999999i | \(0.500491\pi\) | |||||||
\(654\) | −19.6593 | + | 9.55726i | −0.768740 | + | 0.373718i | ||||
\(655\) | −13.0888 | − | 5.42157i | −0.511423 | − | 0.211838i | ||||
\(656\) | 3.73724 | − | 10.2433i | 0.145915 | − | 0.399935i | ||||
\(657\) | 4.25164 | − | 1.76109i | 0.165872 | − | 0.0687065i | ||||
\(658\) | 23.3483 | − | 26.3222i | 0.910210 | − | 1.02615i | ||||
\(659\) | 2.58284 | + | 26.2241i | 0.100613 | + | 1.02154i | 0.904417 | + | 0.426650i | \(0.140306\pi\) |
−0.803804 | + | 0.594895i | \(0.797194\pi\) | |||||||
\(660\) | −12.4457 | − | 4.84540i | −0.484448 | − | 0.188607i | ||||
\(661\) | 12.9940 | − | 24.3101i | 0.505408 | − | 0.945552i | −0.491788 | − | 0.870715i | \(-0.663656\pi\) |
0.997196 | − | 0.0748366i | \(-0.0238435\pi\) | |||||||
\(662\) | −15.2445 | + | 2.42852i | −0.592493 | + | 0.0943870i | ||||
\(663\) | −25.7408 | + | 5.12017i | −0.999692 | + | 0.198851i | ||||
\(664\) | 2.54946 | − | 7.91891i | 0.0989381 | − | 0.307313i | ||||
\(665\) | 5.54422 | − | 27.8727i | 0.214996 | − | 1.08086i | ||||
\(666\) | 5.76944 | + | 6.23011i | 0.223561 | + | 0.241412i | ||||
\(667\) | −0.809983 | + | 8.22390i | −0.0313627 | + | 0.318431i | ||||
\(668\) | 25.2950 | + | 12.8313i | 0.978694 | + | 0.496458i | ||||
\(669\) | 1.08734 | − | 3.58448i | 0.0420390 | − | 0.138584i | ||||
\(670\) | 5.81515 | + | 3.40131i | 0.224659 | + | 0.131404i | ||||
\(671\) | 40.4148 | + | 40.4148i | 1.56020 | + | 1.56020i | ||||
\(672\) | 8.62728 | + | 20.5665i | 0.332805 | + | 0.793371i | ||||
\(673\) | −17.7806 | + | 17.7806i | −0.685391 | + | 0.685391i | −0.961210 | − | 0.275819i | \(-0.911051\pi\) |
0.275819 | + | 0.961210i | \(0.411051\pi\) | |||||||
\(674\) | −21.8158 | + | 5.71367i | −0.840312 | + | 0.220082i | ||||
\(675\) | −1.73774 | − | 0.527137i | −0.0668856 | − | 0.0202895i | ||||
\(676\) | 4.61289 | − | 59.9890i | 0.177419 | − | 2.30727i | ||||
\(677\) | 28.8775 | + | 2.84419i | 1.10985 | + | 0.109311i | 0.636291 | − | 0.771449i | \(-0.280468\pi\) |
0.473563 | + | 0.880760i | \(0.342968\pi\) | |||||||
\(678\) | −0.295298 | + | 7.69183i | −0.0113409 | + | 0.295403i | ||||
\(679\) | 60.5167 | + | 12.0375i | 2.32242 | + | 0.461958i | ||||
\(680\) | 15.8144 | − | 12.5363i | 0.606454 | − | 0.480743i | ||||
\(681\) | −5.58854 | − | 28.0955i | −0.214153 | − | 1.07662i | ||||
\(682\) | 0.470583 | − | 0.648926i | 0.0180195 | − | 0.0248486i | ||||
\(683\) | 19.0879 | + | 10.2027i | 0.730380 | + | 0.390396i | 0.794273 | − | 0.607561i | \(-0.207852\pi\) |
−0.0638935 | + | 0.997957i | \(0.520352\pi\) | |||||||
\(684\) | 5.83386 | + | 5.58902i | 0.223063 | + | 0.213702i | ||||
\(685\) | −8.00602 | + | 0.788525i | −0.305894 | + | 0.0301280i | ||||
\(686\) | 8.59415 | − | 0.514565i | 0.328126 | − | 0.0196462i | ||||
\(687\) | 1.07641 | + | 2.59869i | 0.0410678 | + | 0.0991464i | ||||
\(688\) | 14.5648 | + | 24.6466i | 0.555277 | + | 0.939644i | ||||
\(689\) | 20.0813 | − | 48.4807i | 0.765038 | − | 1.84697i | ||||
\(690\) | −3.75398 | + | 10.8570i | −0.142911 | + | 0.413320i | ||||
\(691\) | −27.8202 | + | 33.8990i | −1.05833 | + | 1.28958i | −0.102796 | + | 0.994702i | \(0.532779\pi\) |
−0.955535 | + | 0.294878i | \(0.904721\pi\) | |||||||
\(692\) | −41.0815 | − | 7.26015i | −1.56168 | − | 0.275989i | ||||
\(693\) | −4.28302 | − | 14.1192i | −0.162699 | − | 0.536346i | ||||
\(694\) | −3.21462 | + | 13.4430i | −0.122025 | + | 0.510289i | ||||
\(695\) | 30.6765 | + | 20.4974i | 1.16363 | + | 0.777510i | ||||
\(696\) | −5.01807 | − | 1.08684i | −0.190210 | − | 0.0411967i | ||||
\(697\) | −6.05554 | − | 9.06275i | −0.229370 | − | 0.343276i | ||||
\(698\) | 15.4731 | − | 33.6432i | 0.585667 | − | 1.27341i | ||||
\(699\) | 3.04158 | − | 2.49616i | 0.115043 | − | 0.0944136i | ||||
\(700\) | −1.70854 | − | 14.2167i | −0.0645769 | − | 0.537341i | ||||
\(701\) | −8.01344 | − | 14.9921i | −0.302664 | − | 0.566244i | 0.683909 | − | 0.729567i | \(-0.260279\pi\) |
−0.986573 | + | 0.163324i | \(0.947779\pi\) | |||||||
\(702\) | 5.60919 | + | 7.39615i | 0.211705 | + | 0.279150i | ||||
\(703\) | 24.2541i | 0.914761i | ||||||||
\(704\) | 25.9103 | + | 14.9994i | 0.976532 | + | 0.565311i | ||||
\(705\) | 11.2604i | 0.424091i | ||||||||
\(706\) | 29.5296 | − | 22.3950i | 1.11136 | − | 0.842847i | ||||
\(707\) | 9.42646 | + | 17.6357i | 0.354518 | + | 0.663257i | ||||
\(708\) | 14.3029 | − | 18.2104i | 0.537538 | − | 0.684387i | ||||
\(709\) | −2.04074 | + | 1.67479i | −0.0766416 | + | 0.0628981i | −0.671934 | − | 0.740611i | \(-0.734536\pi\) |
0.595292 | + | 0.803509i | \(0.297036\pi\) | |||||||
\(710\) | −24.4490 | − | 11.2445i | −0.917555 | − | 0.422000i | ||||
\(711\) | 1.36195 | + | 2.03829i | 0.0510769 | + | 0.0764420i | ||||
\(712\) | −14.7649 | + | 21.3067i | −0.553337 | + | 0.798504i | ||||
\(713\) | −0.573284 | − | 0.383056i | −0.0214697 | − | 0.0143456i | ||||
\(714\) | 21.6830 | + | 5.18504i | 0.811464 | + | 0.194045i | ||||
\(715\) | −12.7237 | − | 41.9443i | −0.475838 | − | 1.56863i | ||||
\(716\) | 9.23877 | − | 6.46374i | 0.345269 | − | 0.241561i | ||||
\(717\) | 7.72631 | − | 9.41453i | 0.288544 | − | 0.351592i | ||||
\(718\) | 15.3771 | + | 5.31686i | 0.573869 | + | 0.198424i | ||||
\(719\) | 6.10001 | − | 14.7267i | 0.227492 | − | 0.549215i | −0.768379 | − | 0.639995i | \(-0.778936\pi\) |
0.995871 | + | 0.0907808i | \(0.0289363\pi\) | |||||||
\(720\) | −6.43317 | − | 3.09183i | −0.239750 | − | 0.115226i | ||||
\(721\) | −4.09526 | − | 9.88684i | −0.152516 | − | 0.368205i | ||||
\(722\) | −0.226711 | − | 3.78647i | −0.00843730 | − | 0.140918i | ||||
\(723\) | −21.0801 | + | 2.07621i | −0.783977 | + | 0.0772150i | ||||
\(724\) | −0.370410 | − | 17.2818i | −0.0137662 | − | 0.642274i | ||||
\(725\) | 2.90721 | + | 1.55393i | 0.107971 | + | 0.0577117i | ||||
\(726\) | −3.44046 | − | 2.49493i | −0.127687 | − | 0.0925954i | ||||
\(727\) | −4.58626 | − | 23.0567i | −0.170095 | − | 0.855126i | −0.967731 | − | 0.251986i | \(-0.918916\pi\) |
0.797636 | − | 0.603139i | \(-0.206084\pi\) | |||||||
\(728\) | −35.5925 | + | 63.9584i | −1.31915 | + | 2.37046i | ||||
\(729\) | −0.980785 | − | 0.195090i | −0.0363254 | − | 0.00722557i | ||||
\(730\) | −11.6045 | − | 0.445511i | −0.429503 | − | 0.0164891i | ||||
\(731\) | 28.4798 | + | 2.80502i | 1.05336 | + | 0.103747i | ||||
\(732\) | 19.8792 | + | 23.1911i | 0.734755 | + | 0.857166i | ||||
\(733\) | 5.33915 | + | 1.61961i | 0.197206 | + | 0.0598218i | 0.387343 | − | 0.921936i | \(-0.373393\pi\) |
−0.190137 | + | 0.981758i | \(0.560893\pi\) | |||||||
\(734\) | 6.03593 | + | 23.0462i | 0.222790 | + | 0.850652i | ||||
\(735\) | −10.7806 | + | 10.7806i | −0.397649 | + | 0.397649i | ||||
\(736\) | 12.0371 | − | 22.7650i | 0.443694 | − | 0.839131i | ||||
\(737\) | 7.06444 | + | 7.06444i | 0.260222 | + | 0.260222i | ||||
\(738\) | −1.94636 | + | 3.32766i | −0.0716466 | + | 0.122493i | ||||
\(739\) | −4.54020 | + | 14.9670i | −0.167014 | + | 0.550571i | −0.999996 | − | 0.00272825i | \(-0.999132\pi\) |
0.832982 | + | 0.553300i | \(0.186632\pi\) | |||||||
\(740\) | −6.65810 | − | 20.3671i | −0.244757 | − | 0.748708i | ||||
\(741\) | −2.59888 | + | 26.3868i | −0.0954721 | + | 0.969345i | ||||
\(742\) | −32.7058 | + | 30.2874i | −1.20067 | + | 1.11188i | ||||
\(743\) | −1.95925 | + | 9.84983i | −0.0718781 | + | 0.361355i | −0.999939 | − | 0.0110738i | \(-0.996475\pi\) |
0.928061 | + | 0.372429i | \(0.121475\pi\) | |||||||
\(744\) | 0.277340 | − | 0.326500i | 0.0101678 | − | 0.0119701i | ||||
\(745\) | −31.4229 | + | 6.25041i | −1.15125 | + | 0.228997i | ||||
\(746\) | 3.56481 | + | 22.3773i | 0.130517 | + | 0.819291i | ||||
\(747\) | −1.38651 | + | 2.59398i | −0.0507297 | + | 0.0949086i | ||||
\(748\) | 27.3975 | − | 12.0426i | 1.00175 | − | 0.440320i | ||||
\(749\) | 5.15980 | + | 52.3884i | 0.188535 | + | 1.91423i | ||||
\(750\) | 12.8675 | + | 11.4137i | 0.469854 | + | 0.416768i | ||||
\(751\) | 43.9270 | − | 18.1952i | 1.60292 | − | 0.663951i | 0.611094 | − | 0.791558i | \(-0.290730\pi\) |
0.991825 | + | 0.127607i | \(0.0407298\pi\) | |||||||
\(752\) | 3.85917 | − | 24.9452i | 0.140729 | − | 0.909657i | ||||
\(753\) | 12.0861 | + | 5.00624i | 0.440443 | + | 0.182437i | ||||
\(754\) | −7.36736 | − | 15.1547i | −0.268303 | − | 0.551901i | ||||
\(755\) | 20.6166 | + | 16.9196i | 0.750316 | + | 0.615769i | ||||
\(756\) | −1.70370 | − | 7.69896i | −0.0619628 | − | 0.280008i | ||||
\(757\) | 46.3806 | − | 14.0694i | 1.68573 | − | 0.511361i | 0.705415 | − | 0.708794i | \(-0.250761\pi\) |
0.980316 | + | 0.197433i | \(0.0632606\pi\) | |||||||
\(758\) | −30.5528 | + | 18.7605i | −1.10973 | + | 0.681412i | ||||
\(759\) | −9.46476 | + | 14.1650i | −0.343549 | + | 0.514158i | ||||
\(760\) | −7.48178 | − | 18.9652i | −0.271393 | − | 0.687939i | ||||
\(761\) | −24.4692 | + | 16.3498i | −0.887007 | + | 0.592679i | −0.913441 | − | 0.406971i | \(-0.866585\pi\) |
0.0264336 | + | 0.999651i | \(0.491585\pi\) | |||||||
\(762\) | −5.44182 | − | 14.7100i | −0.197136 | − | 0.532888i | ||||
\(763\) | 38.6601 | + | 47.1075i | 1.39959 | + | 1.70541i | ||||
\(764\) | 5.86157 | − | 20.9273i | 0.212064 | − | 0.757123i | ||||
\(765\) | −6.29240 | + | 3.36336i | −0.227502 | + | 0.121603i | ||||
\(766\) | 5.55815 | − | 40.4517i | 0.200824 | − | 1.46158i | ||||
\(767\) | 75.9947 | 2.74401 | ||||||||
\(768\) | 13.1918 | + | 9.05411i | 0.476017 | + | 0.326712i | ||||
\(769\) | 13.4439 | 0.484799 | 0.242399 | − | 0.970177i | \(-0.422066\pi\) | ||||
0.242399 | + | 0.970177i | \(0.422066\pi\) | |||||||
\(770\) | −5.06833 | + | 36.8868i | −0.182650 | + | 1.32931i | ||||
\(771\) | 20.7533 | − | 11.0929i | 0.747411 | − | 0.399499i | ||||
\(772\) | 4.65051 | − | 16.6035i | 0.167375 | − | 0.597573i | ||||
\(773\) | −11.2434 | − | 13.7001i | −0.404398 | − | 0.492760i | 0.530496 | − | 0.847687i | \(-0.322006\pi\) |
−0.934894 | + | 0.354927i | \(0.884506\pi\) | |||||||
\(774\) | −3.51181 | − | 9.49293i | −0.126229 | − | 0.341216i | ||||
\(775\) | −0.228687 | + | 0.152804i | −0.00821469 | + | 0.00548888i | ||||
\(776\) | 41.1769 | − | 16.2443i | 1.47816 | − | 0.583138i | ||||
\(777\) | 13.1515 | − | 19.6827i | 0.471809 | − | 0.706112i | ||||
\(778\) | −23.3177 | + | 14.3179i | −0.835979 | + | 0.513321i | ||||
\(779\) | −10.5374 | + | 3.19648i | −0.377541 | + | 0.114526i | ||||
\(780\) | −5.06120 | − | 22.8714i | −0.181220 | − | 0.818928i | ||||
\(781\) | −30.8496 | − | 25.3176i | −1.10389 | − | 0.905936i | ||||
\(782\) | −11.2547 | − | 23.1510i | −0.402468 | − | 0.827878i | ||||
\(783\) | 1.67711 | + | 0.694682i | 0.0599351 | + | 0.0248259i | ||||
\(784\) | 27.5771 | − | 20.1876i | 0.984895 | − | 0.720985i | ||||
\(785\) | 18.2207 | − | 7.54724i | 0.650323 | − | 0.269373i | ||||
\(786\) | −8.39984 | − | 7.45080i | −0.299612 | − | 0.265761i | ||||
\(787\) | −3.22103 | − | 32.7037i | −0.114817 | − | 1.16576i | −0.864033 | − | 0.503435i | \(-0.832069\pi\) |
0.749216 | − | 0.662326i | \(-0.230431\pi\) | |||||||
\(788\) | 28.0311 | − | 12.3211i | 0.998567 | − | 0.438919i | ||||
\(789\) | 8.20334 | − | 15.3474i | 0.292047 | − | 0.546381i | ||||
\(790\) | −0.973225 | − | 6.10921i | −0.0346258 | − | 0.217356i | ||||
\(791\) | 21.0471 | − | 4.18652i | 0.748348 | − | 0.148856i | ||||
\(792\) | −8.06733 | − | 6.85267i | −0.286660 | − | 0.243499i | ||||
\(793\) | −19.5570 | + | 98.3195i | −0.694488 | + | 3.49143i | ||||
\(794\) | 25.7134 | − | 23.8121i | 0.912535 | − | 0.845059i | ||||
\(795\) | 1.39828 | − | 14.1969i | 0.0495918 | − | 0.503514i | ||||
\(796\) | 7.62196 | + | 23.3155i | 0.270153 | + | 0.826395i | ||||
\(797\) | −5.83610 | + | 19.2390i | −0.206725 | + | 0.681482i | 0.790858 | + | 0.612000i | \(0.209635\pi\) |
−0.997583 | + | 0.0694820i | \(0.977865\pi\) | |||||||
\(798\) | 11.3715 | − | 19.4417i | 0.402548 | − | 0.688228i | ||||
\(799\) | −17.8420 | − | 17.8420i | −0.631204 | − | 0.631204i | ||||
\(800\) | −6.55236 | − | 7.91139i | −0.231661 | − | 0.279710i | ||||
\(801\) | 6.48064 | − | 6.48064i | 0.228982 | − | 0.228982i | ||||
\(802\) | 6.04688 | + | 23.0880i | 0.213523 | + | 0.815267i | ||||
\(803\) | −16.4805 | − | 4.99929i | −0.581583 | − | 0.176421i | ||||
\(804\) | 3.47484 | + | 4.05376i | 0.122548 | + | 0.142965i | ||||
\(805\) | 31.8717 | + | 3.13909i | 1.12333 | + | 0.110638i | ||||
\(806\) | 1.40490 | + | 0.0539356i | 0.0494854 | + | 0.00189980i | ||||
\(807\) | −3.85081 | − | 0.765973i | −0.135555 | − | 0.0269635i | ||||
\(808\) | 12.5355 | + | 6.97592i | 0.440996 | + | 0.245412i | ||||
\(809\) | 7.59256 | + | 38.1704i | 0.266940 | + | 1.34200i | 0.848802 | + | 0.528711i | \(0.177325\pi\) |
−0.581862 | + | 0.813288i | \(0.697675\pi\) | |||||||
\(810\) | 2.04290 | + | 1.48145i | 0.0717801 | + | 0.0520529i | ||||
\(811\) | −39.1854 | − | 20.9450i | −1.37599 | − | 0.735480i | −0.393066 | − | 0.919510i | \(-0.628586\pi\) |
−0.982921 | + | 0.184030i | \(0.941086\pi\) | |||||||
\(812\) | 0.306728 | + | 14.3107i | 0.0107640 | + | 0.502206i | ||||
\(813\) | −9.50198 | + | 0.935863i | −0.333249 | + | 0.0328221i | ||||
\(814\) | −1.89921 | − | 31.7202i | −0.0665674 | − | 1.11179i | ||||
\(815\) | −11.9435 | − | 28.8343i | −0.418364 | − | 1.01002i | ||||
\(816\) | 15.0923 | − | 5.29432i | 0.528335 | − | 0.185338i | ||||
\(817\) | 11.0639 | − | 26.7106i | 0.387077 | − | 0.934486i | ||||
\(818\) | −12.9235 | − | 4.46849i | −0.451860 | − | 0.156237i | ||||
\(819\) | 16.4170 | − | 20.0042i | 0.573658 | − | 0.699004i | ||||
\(820\) | 7.97116 | − | 5.57687i | 0.278365 | − | 0.194753i | ||||
\(821\) | −7.47795 | − | 24.6515i | −0.260982 | − | 0.860343i | −0.985294 | − | 0.170870i | \(-0.945342\pi\) |
0.724311 | − | 0.689473i | \(-0.242158\pi\) | |||||||
\(822\) | −6.20100 | − | 1.48284i | −0.216285 | − | 0.0517201i | ||||
\(823\) | 0.918848 | + | 0.613954i | 0.0320290 | + | 0.0214011i | 0.571482 | − | 0.820615i | \(-0.306369\pi\) |
−0.539453 | + | 0.842016i | \(0.681369\pi\) | |||||||
\(824\) | −6.31020 | − | 4.37276i | −0.219826 | − | 0.152332i | ||||
\(825\) | 3.77557 | + | 5.65053i | 0.131448 | + | 0.196726i | ||||
\(826\) | −58.6492 | − | 26.9738i | −2.04067 | − | 0.938539i | ||||
\(827\) | −8.87782 | + | 7.28584i | −0.308712 | + | 0.253353i | −0.775973 | − | 0.630766i | \(-0.782741\pi\) |
0.467261 | + | 0.884119i | \(0.345241\pi\) | |||||||
\(828\) | −5.62371 | + | 7.16005i | −0.195438 | + | 0.248829i | ||||
\(829\) | 17.3200 | + | 32.4035i | 0.601550 | + | 1.12542i | 0.979849 | + | 0.199737i | \(0.0640089\pi\) |
−0.378300 | + | 0.925683i | \(0.623491\pi\) | |||||||
\(830\) | 5.91398 | − | 4.48512i | 0.205277 | − | 0.155681i | ||||
\(831\) | − | 26.8347i | − | 0.930884i | ||||||
\(832\) | 3.37359 | + | 52.4017i | 0.116958 | + | 1.81670i | ||||
\(833\) | − | 34.1636i | − | 1.18370i | ||||||
\(834\) | 17.6691 | + | 23.2981i | 0.611832 | + | 0.806748i | ||||
\(835\) | 11.9290 | + | 22.3177i | 0.412821 | + | 0.772334i | ||||
\(836\) | −3.60759 | − | 30.0186i | −0.124771 | − | 1.03821i | ||||
\(837\) | −0.117080 | + | 0.0960848i | −0.00404686 | + | 0.00332118i | ||||
\(838\) | −18.1881 | + | 39.5463i | −0.628296 | + | 1.36610i | ||||
\(839\) | 23.5473 | + | 35.2410i | 0.812942 | + | 1.21665i | 0.973287 | + | 0.229592i | \(0.0737392\pi\) |
−0.160345 | + | 0.987061i | \(0.551261\pi\) | |||||||
\(840\) | −4.21207 | + | 19.4475i | −0.145330 | + | 0.671004i | ||||
\(841\) | 21.3727 | + | 14.2808i | 0.736989 | + | 0.492440i | ||||
\(842\) | 11.0941 | − | 46.3936i | 0.382328 | − | 1.59883i | ||||
\(843\) | 0.614076 | + | 2.02434i | 0.0211499 | + | 0.0697219i | ||||
\(844\) | −2.99064 | − | 0.528522i | −0.102942 | − | 0.0181925i | ||||
\(845\) | 34.0543 | − | 41.4953i | 1.17150 | − | 1.42748i | ||||
\(846\) | −2.91632 | + | 8.43442i | −0.100265 | + | 0.289981i | ||||
\(847\) | −4.53402 | + | 10.9461i | −0.155791 | + | 0.376112i | ||||
\(848\) | −7.96318 | + | 30.9713i | −0.273457 | + | 1.06356i | ||||
\(849\) | 5.29019 | + | 12.7716i | 0.181559 | + | 0.438322i | ||||
\(850\) | −10.2502 | + | 0.613720i | −0.351580 | + | 0.0210504i | ||||
\(851\) | −27.2011 | + | 2.67907i | −0.932441 | + | 0.0918374i | ||||
\(852\) | −15.4009 | − | 14.7546i | −0.527627 | − | 0.505484i | ||||
\(853\) | 11.6382 | + | 6.22073i | 0.398484 | + | 0.212994i | 0.658451 | − | 0.752623i | \(-0.271212\pi\) |
−0.259968 | + | 0.965617i | \(0.583712\pi\) | |||||||
\(854\) | 49.9910 | − | 68.9368i | 1.71066 | − | 2.35897i | ||||
\(855\) | 1.40623 | + | 7.06961i | 0.0480921 | + | 0.241776i | ||||
\(856\) | 23.4601 | + | 29.5947i | 0.801848 | + | 1.01153i | ||||
\(857\) | −16.0644 | − | 3.19540i | −0.548749 | − | 0.109153i | −0.0870733 | − | 0.996202i | \(-0.527751\pi\) |
−0.461675 | + | 0.887049i | \(0.652751\pi\) | |||||||
\(858\) | 1.33267 | − | 34.7130i | 0.0454966 | − | 1.18508i | ||||
\(859\) | −27.6459 | − | 2.72288i | −0.943265 | − | 0.0929035i | −0.385322 | − | 0.922782i | \(-0.625910\pi\) |
−0.557944 | + | 0.829879i | \(0.688410\pi\) | |||||||
\(860\) | −1.95831 | + | 25.4671i | −0.0667776 | + | 0.868420i | ||||
\(861\) | 10.2846 | + | 3.11979i | 0.350497 | + | 0.106322i | ||||
\(862\) | −43.1059 | + | 11.2897i | −1.46819 | + | 0.384527i | ||||
\(863\) | −21.2405 | + | 21.2405i | −0.723035 | + | 0.723035i | −0.969222 | − | 0.246187i | \(-0.920822\pi\) |
0.246187 | + | 0.969222i | \(0.420822\pi\) | |||||||
\(864\) | −4.01791 | − | 3.98201i | −0.136692 | − | 0.135471i | ||||
\(865\) | −26.3191 | − | 26.3191i | −0.894876 | − | 0.894876i | ||||
\(866\) | −23.2640 | − | 13.6072i | −0.790541 | − | 0.462391i | ||||
\(867\) | −0.293801 | + | 0.968531i | −0.00997799 | + | 0.0328930i | ||||
\(868\) | −1.06509 | − | 0.540284i | −0.0361515 | − | 0.0183384i | ||||
\(869\) | 0.899220 | − | 9.12993i | 0.0305040 | − | 0.309712i | ||||
\(870\) | −3.11255 | − | 3.36108i | −0.105525 | − | 0.113951i | ||||
\(871\) | −3.41852 | + | 17.1861i | −0.115832 | + | 0.582328i | ||||
\(872\) | 41.6151 | + | 13.3978i | 1.40927 | + | 0.453706i | ||||
\(873\) | −15.3494 | + | 3.05319i | −0.519499 | + | 0.103335i | ||||
\(874\) | −25.6821 | + | 4.09128i | −0.868711 | + | 0.138390i | ||||
\(875\) | 22.6040 | − | 42.2892i | 0.764156 | − | 1.42964i | ||||
\(876\) | −8.57680 | − | 3.33915i | −0.289783 | − | 0.112819i | ||||
\(877\) | 0.331895 | + | 3.36979i | 0.0112073 | + | 0.113790i | 0.999161 | − | 0.0409620i | \(-0.0130423\pi\) |
−0.987953 | + | 0.154752i | \(0.950542\pi\) | |||||||
\(878\) | 18.2739 | − | 20.6016i | 0.616715 | − | 0.695269i | ||||
\(879\) | 22.8323 | − | 9.45744i | 0.770114 | − | 0.318992i | ||||
\(880\) | 11.2700 | + | 24.2173i | 0.379910 | + | 0.816367i | ||||
\(881\) | 15.3685 | + | 6.36585i | 0.517778 | + | 0.214471i | 0.626241 | − | 0.779630i | \(-0.284593\pi\) |
−0.108462 | + | 0.994101i | \(0.534593\pi\) | |||||||
\(882\) | −10.8671 | + | 5.28298i | −0.365915 | + | 0.177887i | ||||
\(883\) | 14.2112 | + | 11.6628i | 0.478246 | + | 0.392486i | 0.842400 | − | 0.538853i | \(-0.181142\pi\) |
−0.364155 | + | 0.931339i | \(0.618642\pi\) | |||||||
\(884\) | 44.2589 | + | 28.2201i | 1.48859 | + | 0.949145i | ||||
\(885\) | 19.7700 | − | 5.99715i | 0.664560 | − | 0.201592i | ||||
\(886\) | 12.1440 | + | 19.7773i | 0.407986 | + | 0.664433i | ||||
\(887\) | 2.42145 | − | 3.62396i | 0.0813044 | − | 0.121681i | −0.788589 | − | 0.614921i | \(-0.789188\pi\) |
0.869893 | + | 0.493241i | \(0.164188\pi\) | |||||||
\(888\) | 0.287704 | − | 16.9800i | 0.00965470 | − | 0.569811i | ||||
\(889\) | −36.3564 | + | 24.2925i | −1.21935 | + | 0.814746i | ||||
\(890\) | −21.6913 | + | 8.02448i | −0.727095 | + | 0.268981i | ||||
\(891\) | 2.37412 | + | 2.89287i | 0.0795359 | + | 0.0969147i | ||||
\(892\) | −6.52976 | + | 3.67225i | −0.218632 | + | 0.122956i | ||||
\(893\) | −22.4814 | + | 12.0165i | −0.752310 | + | 0.402118i | ||||
\(894\) | −25.1556 | − | 3.45643i | −0.841330 | − | 0.115600i | ||||
\(895\) | 10.0599 | 0.336265 | ||||||||
\(896\) | 15.9961 | − | 41.6386i | 0.534391 | − | 1.39105i | ||||
\(897\) | −29.8800 | −0.997665 | ||||||||
\(898\) | 9.51469 | + | 1.30734i | 0.317509 | + | 0.0436264i | ||||
\(899\) | 0.242478 | − | 0.129607i | 0.00808709 | − | 0.00432264i | ||||
\(900\) | 1.78029 | + | 3.16560i | 0.0593431 | + | 0.105520i | ||||
\(901\) | 20.2793 | + | 24.7105i | 0.675603 | + | 0.823225i | ||||
\(902\) | 13.5308 | − | 5.00558i | 0.450527 | − | 0.166668i | ||||
\(903\) | −23.4621 | + | 15.6769i | −0.780771 | + | 0.521694i | ||||
\(904\) | 11.0688 | − | 10.6999i | 0.368142 | − | 0.355874i | ||||
\(905\) | 8.56819 | − | 12.8232i | 0.284816 | − | 0.426258i | ||||
\(906\) | 11.0606 | + | 18.0129i | 0.367462 | + | 0.598438i | ||||
\(907\) | −33.2565 | + | 10.0882i | −1.10426 | + | 0.334975i | −0.789225 | − | 0.614104i | \(-0.789517\pi\) |
−0.315038 | + | 0.949079i | \(0.602017\pi\) | |||||||
\(908\) | −30.8015 | + | 48.3075i | −1.02219 | + | 1.60314i | ||||
\(909\) | −3.92071 | − | 3.21764i | −0.130042 | − | 0.106722i | ||||
\(910\) | −58.7319 | + | 28.5522i | −1.94694 | + | 0.946496i | ||||
\(911\) | −44.4217 | − | 18.4001i | −1.47176 | − | 0.609622i | −0.504499 | − | 0.863412i | \(-0.668323\pi\) |
−0.967259 | + | 0.253790i | \(0.918323\pi\) | |||||||
\(912\) | −0.692331 | − | 16.1433i | −0.0229254 | − | 0.534557i | ||||
\(913\) | 10.1694 | − | 4.21230i | 0.336558 | − | 0.139407i | ||||
\(914\) | 9.11801 | − | 10.2794i | 0.301597 | − | 0.340013i | ||||
\(915\) | 2.67119 | + | 27.1211i | 0.0883069 | + | 0.896595i | ||||
\(916\) | 2.04096 | − | 5.24233i | 0.0674353 | − | 0.173211i | ||||
\(917\) | −14.7558 | + | 27.6062i | −0.487280 | + | 0.911638i | ||||
\(918\) | −5.58430 | + | 0.889605i | −0.184309 | + | 0.0293613i | ||||
\(919\) | −18.9780 | + | 3.77497i | −0.626028 | + | 0.124525i | −0.497902 | − | 0.867233i | \(-0.665896\pi\) |
−0.128126 | + | 0.991758i | \(0.540896\pi\) | |||||||
\(920\) | 20.4431 | − | 10.4857i | 0.673989 | − | 0.345704i | ||||
\(921\) | 3.40322 | − | 17.1091i | 0.112140 | − | 0.563765i | ||||
\(922\) | −19.1455 | − | 20.6742i | −0.630522 | − | 0.680868i | ||||
\(923\) | 6.86083 | − | 69.6592i | 0.225827 | − | 2.29286i | ||||
\(924\) | −13.3496 | + | 26.3168i | −0.439171 | + | 0.865760i | ||||
\(925\) | −3.16504 | + | 10.4337i | −0.104066 | + | 0.343059i | ||||
\(926\) | 20.6432 | + | 12.0743i | 0.678379 | + | 0.396787i | ||||
\(927\) | 1.91930 | + | 1.91930i | 0.0630382 | + | 0.0630382i | ||||
\(928\) | 5.74333 | + | 8.51254i | 0.188534 | + | 0.279438i | ||||
\(929\) | −14.9966 | + | 14.9966i | −0.492022 | + | 0.492022i | −0.908943 | − | 0.416921i | \(-0.863109\pi\) |
0.416921 | + | 0.908943i | \(0.363109\pi\) | |||||||
\(930\) | 0.369739 | − | 0.0968367i | 0.0121242 | − | 0.00317540i | ||||
\(931\) | −33.0280 | − | 10.0189i | −1.08245 | − | 0.328358i | ||||
\(932\) | −7.84629 | − | 0.603345i | −0.257014 | − | 0.0197632i | ||||
\(933\) | −25.7795 | − | 2.53906i | −0.843982 | − | 0.0831250i | ||||
\(934\) | −1.07595 | + | 28.0261i | −0.0352062 | + | 0.917041i | ||||
\(935\) | 26.1881 | + | 5.20914i | 0.856442 | + | 0.170357i | ||||
\(936\) | 2.13244 | − | 18.4423i | 0.0697011 | − | 0.602804i | ||||
\(937\) | −3.44833 | − | 17.3359i | −0.112652 | − | 0.566340i | −0.995344 | − | 0.0963877i | \(-0.969271\pi\) |
0.882692 | − | 0.469952i | \(-0.155729\pi\) | |||||||
\(938\) | 8.73834 | − | 12.0500i | 0.285317 | − | 0.393447i | ||||
\(939\) | −26.6364 | − | 14.2375i | −0.869248 | − | 0.464623i | ||||
\(940\) | 15.5797 | − | 16.2622i | 0.508154 | − | 0.530414i | ||||
\(941\) | 24.3922 | − | 2.40243i | 0.795165 | − | 0.0783169i | 0.307727 | − | 0.951475i | \(-0.400432\pi\) |
0.487438 | + | 0.873158i | \(0.337932\pi\) | |||||||
\(942\) | 15.6025 | − | 0.934185i | 0.508358 | − | 0.0304374i | ||||
\(943\) | −4.74882 | − | 11.4647i | −0.154643 | − | 0.373341i | ||||
\(944\) | −45.8518 | + | 6.50993i | −1.49235 | + | 0.211880i | ||||
\(945\) | 2.69224 | − | 6.49964i | 0.0875786 | − | 0.211433i | ||||
\(946\) | −12.3781 | + | 35.7993i | −0.402447 | + | 1.16393i | ||||
\(947\) | 19.1253 | − | 23.3042i | 0.621489 | − | 0.757286i | −0.363180 | − | 0.931719i | \(-0.618309\pi\) |
0.984669 | + | 0.174433i | \(0.0558091\pi\) | |||||||
\(948\) | 0.853241 | − | 4.82806i | 0.0277120 | − | 0.156808i | ||||
\(949\) | −8.76836 | − | 28.9054i | −0.284633 | − | 0.938309i | ||||
\(950\) | −2.41270 | + | 10.0895i | −0.0782783 | + | 0.327347i | ||||
\(951\) | 1.60207 | + | 1.07047i | 0.0519507 | + | 0.0347123i | ||||
\(952\) | −24.1405 | − | 37.4884i | −0.782397 | − | 1.21501i | ||||
\(953\) | −3.07186 | − | 4.59737i | −0.0995074 | − | 0.148923i | 0.778375 | − | 0.627800i | \(-0.216044\pi\) |
−0.877882 | + | 0.478876i | \(0.841044\pi\) | |||||||
\(954\) | 4.72421 | − | 10.2719i | 0.152952 | − | 0.332563i | ||||
\(955\) | 14.9886 | − | 12.3008i | 0.485019 | − | 0.398045i | ||||
\(956\) | −24.1841 | + | 2.90641i | −0.782169 | + | 0.0940000i | ||||
\(957\) | −3.20241 | − | 5.99128i | −0.103519 | − | 0.193671i | ||||
\(958\) | −11.2460 | − | 14.8288i | −0.363343 | − | 0.479096i | ||||
\(959\) | 17.7748i | 0.573979i | ||||||||
\(960\) | 5.01294 | + | 13.3660i | 0.161792 | + | 0.431387i | ||||
\(961\) | − | 30.9771i | − | 0.999260i | ||||||
\(962\) | 44.4079 | − | 33.6787i | 1.43177 | − | 1.08584i | ||||
\(963\) | −6.29412 | − | 11.7755i | −0.202825 | − | 0.379459i | ||||
\(964\) | 33.3163 | + | 26.1676i | 1.07305 | + | 0.842802i | ||||
\(965\) | 11.8918 | − | 9.75932i | 0.382810 | − | 0.314164i | ||||
\(966\) | 23.0600 | + | 10.6057i | 0.741943 | + | 0.341233i | ||||
\(967\) | 14.6294 | + | 21.8945i | 0.470450 | + | 0.704078i | 0.988491 | − | 0.151277i | \(-0.0483386\pi\) |
−0.518041 | + | 0.855356i | \(0.673339\pi\) | |||||||
\(968\) | 1.51675 | + | 8.36332i | 0.0487502 | + | 0.268807i | ||||
\(969\) | −13.4299 | − | 8.97356i | −0.431430 | − | 0.288272i | ||||
\(970\) | 38.4104 | + | 9.18507i | 1.23328 | + | 0.294915i | ||||
\(971\) | −13.2371 | − | 43.6369i | −0.424800 | − | 1.40038i | −0.864681 | − | 0.502321i | \(-0.832480\pi\) |
0.439882 | − | 0.898056i | \(-0.355020\pi\) | |||||||
\(972\) | 1.14652 | + | 1.63875i | 0.0367746 | + | 0.0525628i | ||||
\(973\) | 51.7142 | − | 63.0140i | 1.65788 | − | 2.02014i | ||||
\(974\) | −25.6517 | − | 8.86944i | −0.821932 | − | 0.284195i | ||||
\(975\) | −4.56134 | + | 11.0121i | −0.146080 | + | 0.352668i | ||||
\(976\) | 3.37745 | − | 60.9969i | 0.108109 | − | 1.95246i | ||||
\(977\) | 13.2579 | + | 32.0073i | 0.424156 | + | 1.02400i | 0.981108 | + | 0.193459i | \(0.0619707\pi\) |
−0.556952 | + | 0.830545i | \(0.688029\pi\) | |||||||
\(978\) | −1.47835 | − | 24.6911i | −0.0472725 | − | 0.789534i | ||||
\(979\) | −34.1334 | + | 3.36185i | −1.09091 | + | 0.107445i | ||||
\(980\) | 30.4852 | − | 0.653404i | 0.973814 | − | 0.0208722i | ||||
\(981\) | −13.6317 | − | 7.28632i | −0.435228 | − | 0.232634i | ||||
\(982\) | 2.13199 | + | 1.54606i | 0.0680345 | + | 0.0493367i | ||||
\(983\) | −6.07524 | − | 30.5423i | −0.193770 | − | 0.974148i | −0.948177 | − | 0.317741i | \(-0.897076\pi\) |
0.754407 | − | 0.656406i | \(-0.227924\pi\) | |||||||
\(984\) | 7.41502 | − | 2.11282i | 0.236382 | − | 0.0673544i | ||||
\(985\) | 26.7937 | + | 5.32960i | 0.853718 | + | 0.169815i | ||||
\(986\) | 10.2574 | + | 0.393793i | 0.326662 | + | 0.0125409i | ||||
\(987\) | 24.7599 | + | 2.43864i | 0.788117 | + | 0.0776228i | ||||
\(988\) | 40.2617 | − | 34.5119i | 1.28090 | − | 1.09797i | ||||
\(989\) | 31.1781 | + | 9.45779i | 0.991407 | + | 0.300740i | ||||
\(990\) | −2.39270 | − | 9.13572i | −0.0760449 | − | 0.290352i | ||||
\(991\) | −14.9473 | + | 14.9473i | −0.474815 | + | 0.474815i | −0.903469 | − | 0.428654i | \(-0.858988\pi\) |
0.428654 | + | 0.903469i | \(0.358988\pi\) | |||||||
\(992\) | −0.852272 | + | 0.0878054i | −0.0270597 | + | 0.00278783i | ||||
\(993\) | −7.71835 | − | 7.71835i | −0.244934 | − | 0.244934i | ||||
\(994\) | −30.0200 | + | 51.3245i | −0.952175 | + | 1.62791i | ||||
\(995\) | −6.35298 | + | 20.9430i | −0.201403 | + | 0.663937i | ||||
\(996\) | 5.59137 | − | 1.82785i | 0.177169 | − | 0.0579177i | ||||
\(997\) | 1.07636 | − | 10.9285i | 0.0340886 | − | 0.346108i | −0.962979 | − | 0.269578i | \(-0.913116\pi\) |
0.997067 | − | 0.0765300i | \(-0.0243841\pi\) | |||||||
\(998\) | −17.9119 | + | 16.5874i | −0.566992 | + | 0.525067i | ||||
\(999\) | −1.17136 | + | 5.88883i | −0.0370602 | + | 0.186314i |
(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 | 384.2.v.a.229.17 | yes | 512 | |
128.109 | even | 32 | inner | 384.2.v.a.109.17 | ✓ | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.109.17 | ✓ | 512 | 128.109 | even | 32 | inner | |
384.2.v.a.229.17 | yes | 512 | 1.1 | even | 1 | trivial |