Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [184,3,Mod(139,184)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(184, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("184.139");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 184 = 2^{3} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 184.g (of order \(2\), degree \(1\), 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: | \(5.01363686423\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 139.11 | ||
Character | \(\chi\) | \(=\) | 184.139 |
Dual form | 184.3.g.a.139.12 |
$q$-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 \(\left(\mathbb{Z}/184\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(93\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.54512 | − | 1.26989i | −0.772558 | − | 0.634944i | ||||
\(3\) | 0.245976 | 0.0819922 | 0.0409961 | − | 0.999159i | \(-0.486947\pi\) | ||||
0.0409961 | + | 0.999159i | \(0.486947\pi\) | |||||||
\(4\) | 0.774772 | + | 3.92425i | 0.193693 | + | 0.981062i | ||||
\(5\) | 4.88516i | 0.977031i | 0.872555 | + | 0.488516i | \(0.162461\pi\) | ||||
−0.872555 | + | 0.488516i | \(0.837539\pi\) | |||||||
\(6\) | −0.380062 | − | 0.312362i | −0.0633437 | − | 0.0520604i | ||||
\(7\) | 0.635668i | 0.0908097i | 0.998969 | + | 0.0454049i | \(0.0144578\pi\) | ||||
−0.998969 | + | 0.0454049i | \(0.985542\pi\) | |||||||
\(8\) | 3.78624 | − | 7.04730i | 0.473280 | − | 0.880912i | ||||
\(9\) | −8.93950 | −0.993277 | ||||||||
\(10\) | 6.20360 | − | 7.54814i | 0.620360 | − | 0.754814i | ||||
\(11\) | −16.7594 | −1.52359 | −0.761793 | − | 0.647820i | \(-0.775681\pi\) | ||||
−0.761793 | + | 0.647820i | \(0.775681\pi\) | |||||||
\(12\) | 0.190576 | + | 0.965273i | 0.0158813 | + | 0.0804394i | ||||
\(13\) | − | 18.0005i | − | 1.38465i | −0.721585 | − | 0.692326i | \(-0.756586\pi\) | ||
0.721585 | − | 0.692326i | \(-0.243414\pi\) | |||||||
\(14\) | 0.807227 | − | 0.982182i | 0.0576591 | − | 0.0701558i | ||||
\(15\) | 1.20163i | 0.0801089i | ||||||||
\(16\) | −14.7995 | + | 6.08080i | −0.924966 | + | 0.380050i | ||||
\(17\) | −0.253600 | −0.0149177 | −0.00745884 | − | 0.999972i | \(-0.502374\pi\) | ||||
−0.00745884 | + | 0.999972i | \(0.502374\pi\) | |||||||
\(18\) | 13.8126 | + | 11.3522i | 0.767365 | + | 0.630675i | ||||
\(19\) | −24.4492 | −1.28680 | −0.643401 | − | 0.765529i | \(-0.722477\pi\) | ||||
−0.643401 | + | 0.765529i | \(0.722477\pi\) | |||||||
\(20\) | −19.1706 | + | 3.78488i | −0.958528 | + | 0.189244i | ||||
\(21\) | 0.156359i | 0.00744569i | ||||||||
\(22\) | 25.8953 | + | 21.2826i | 1.17706 | + | 0.967391i | ||||
\(23\) | 4.79583i | 0.208514i | ||||||||
\(24\) | 0.931326 | − | 1.73347i | 0.0388053 | − | 0.0722279i | ||||
\(25\) | 1.13525 | 0.0454099 | ||||||||
\(26\) | −22.8586 | + | 27.8128i | −0.879176 | + | 1.06972i | ||||
\(27\) | −4.41269 | −0.163433 | ||||||||
\(28\) | −2.49452 | + | 0.492498i | −0.0890900 | + | 0.0175892i | ||||
\(29\) | 52.8309i | 1.82176i | 0.412677 | + | 0.910878i | \(0.364594\pi\) | ||||
−0.412677 | + | 0.910878i | \(0.635406\pi\) | |||||||
\(30\) | 1.52594 | − | 1.85666i | 0.0508646 | − | 0.0618888i | ||||
\(31\) | − | 29.9736i | − | 0.966889i | −0.875375 | − | 0.483445i | \(-0.839385\pi\) | ||
0.875375 | − | 0.483445i | \(-0.160615\pi\) | |||||||
\(32\) | 30.5888 | + | 9.39810i | 0.955900 | + | 0.293691i | ||||
\(33\) | −4.12243 | −0.124922 | ||||||||
\(34\) | 0.391842 | + | 0.322044i | 0.0115248 | + | 0.00947188i | ||||
\(35\) | −3.10534 | −0.0887239 | ||||||||
\(36\) | −6.92607 | − | 35.0808i | −0.192391 | − | 0.974467i | ||||
\(37\) | 28.6474i | 0.774254i | 0.922026 | + | 0.387127i | \(0.126533\pi\) | ||||
−0.922026 | + | 0.387127i | \(0.873467\pi\) | |||||||
\(38\) | 37.7769 | + | 31.0478i | 0.994130 | + | 0.817047i | ||||
\(39\) | − | 4.42769i | − | 0.113531i | ||||||
\(40\) | 34.4271 | + | 18.4964i | 0.860679 | + | 0.462409i | ||||
\(41\) | −51.8018 | −1.26346 | −0.631730 | − | 0.775189i | \(-0.717655\pi\) | ||||
−0.631730 | + | 0.775189i | \(0.717655\pi\) | |||||||
\(42\) | 0.198559 | − | 0.241594i | 0.00472759 | − | 0.00575223i | ||||
\(43\) | −63.6733 | −1.48078 | −0.740388 | − | 0.672180i | \(-0.765358\pi\) | ||||
−0.740388 | + | 0.672180i | \(0.765358\pi\) | |||||||
\(44\) | −12.9848 | − | 65.7682i | −0.295108 | − | 1.49473i | ||||
\(45\) | − | 43.6708i | − | 0.970463i | ||||||
\(46\) | 6.09017 | − | 7.41012i | 0.132395 | − | 0.161090i | ||||
\(47\) | − | 39.3858i | − | 0.837996i | −0.907987 | − | 0.418998i | \(-0.862381\pi\) | ||
0.907987 | − | 0.418998i | \(-0.137619\pi\) | |||||||
\(48\) | −3.64032 | + | 1.49573i | −0.0758400 | + | 0.0311611i | ||||
\(49\) | 48.5959 | 0.991754 | ||||||||
\(50\) | −1.75409 | − | 1.44164i | −0.0350818 | − | 0.0288328i | ||||
\(51\) | −0.0623797 | −0.00122313 | ||||||||
\(52\) | 70.6384 | − | 13.9463i | 1.35843 | − | 0.268197i | ||||
\(53\) | 58.7879i | 1.10921i | 0.832115 | + | 0.554603i | \(0.187130\pi\) | ||||
−0.832115 | + | 0.554603i | \(0.812870\pi\) | |||||||
\(54\) | 6.81813 | + | 5.60362i | 0.126262 | + | 0.103771i | ||||
\(55\) | − | 81.8725i | − | 1.48859i | ||||||
\(56\) | 4.47974 | + | 2.40679i | 0.0799954 | + | 0.0429784i | ||||
\(57\) | −6.01394 | −0.105508 | ||||||||
\(58\) | 67.0893 | − | 81.6299i | 1.15671 | − | 1.40741i | ||||
\(59\) | 84.9337 | 1.43955 | 0.719777 | − | 0.694205i | \(-0.244244\pi\) | ||||
0.719777 | + | 0.694205i | \(0.244244\pi\) | |||||||
\(60\) | −4.71551 | + | 0.930992i | −0.0785918 | + | 0.0155165i | ||||
\(61\) | − | 14.4107i | − | 0.236241i | −0.992999 | − | 0.118121i | \(-0.962313\pi\) | ||
0.992999 | − | 0.118121i | \(-0.0376870\pi\) | |||||||
\(62\) | −38.0630 | + | 46.3127i | −0.613920 | + | 0.746978i | ||||
\(63\) | − | 5.68255i | − | 0.0901992i | ||||||
\(64\) | −35.3288 | − | 53.3655i | −0.552012 | − | 0.833836i | ||||
\(65\) | 87.9351 | 1.35285 | ||||||||
\(66\) | 6.36964 | + | 5.23502i | 0.0965096 | + | 0.0793185i | ||||
\(67\) | −2.53300 | −0.0378060 | −0.0189030 | − | 0.999821i | \(-0.506017\pi\) | ||||
−0.0189030 | + | 0.999821i | \(0.506017\pi\) | |||||||
\(68\) | −0.196482 | − | 0.995191i | −0.00288945 | − | 0.0146352i | ||||
\(69\) | 1.17966i | 0.0170965i | ||||||||
\(70\) | 4.79811 | + | 3.94343i | 0.0685444 | + | 0.0563347i | ||||
\(71\) | 65.9084i | 0.928287i | 0.885760 | + | 0.464144i | \(0.153638\pi\) | ||||
−0.885760 | + | 0.464144i | \(0.846362\pi\) | |||||||
\(72\) | −33.8471 | + | 62.9993i | −0.470098 | + | 0.874990i | ||||
\(73\) | 38.9503 | 0.533566 | 0.266783 | − | 0.963757i | \(-0.414039\pi\) | ||||
0.266783 | + | 0.963757i | \(0.414039\pi\) | |||||||
\(74\) | 36.3790 | − | 44.2636i | 0.491608 | − | 0.598157i | ||||
\(75\) | 0.279244 | 0.00372326 | ||||||||
\(76\) | −18.9426 | − | 95.9449i | −0.249245 | − | 1.26243i | ||||
\(77\) | − | 10.6534i | − | 0.138356i | ||||||
\(78\) | −5.62267 | + | 6.84130i | −0.0720855 | + | 0.0877090i | ||||
\(79\) | − | 62.9371i | − | 0.796672i | −0.917240 | − | 0.398336i | \(-0.869588\pi\) | ||
0.917240 | − | 0.398336i | \(-0.130412\pi\) | |||||||
\(80\) | −29.7056 | − | 72.2977i | −0.371320 | − | 0.903721i | ||||
\(81\) | 79.3700 | 0.979877 | ||||||||
\(82\) | 80.0399 | + | 65.7825i | 0.976096 | + | 0.802226i | ||||
\(83\) | −129.115 | −1.55561 | −0.777803 | − | 0.628508i | \(-0.783666\pi\) | ||||
−0.777803 | + | 0.628508i | \(0.783666\pi\) | |||||||
\(84\) | −0.613593 | + | 0.121143i | −0.00730468 | + | 0.00144218i | ||||
\(85\) | − | 1.23888i | − | 0.0145750i | ||||||
\(86\) | 98.3828 | + | 80.8580i | 1.14399 | + | 0.940209i | ||||
\(87\) | 12.9952i | 0.149370i | ||||||||
\(88\) | −63.4553 | + | 118.109i | −0.721083 | + | 1.34215i | ||||
\(89\) | −103.719 | −1.16539 | −0.582693 | − | 0.812692i | \(-0.698001\pi\) | ||||
−0.582693 | + | 0.812692i | \(0.698001\pi\) | |||||||
\(90\) | −55.4570 | + | 67.4765i | −0.616189 | + | 0.749739i | ||||
\(91\) | 11.4423 | 0.125740 | ||||||||
\(92\) | −18.8200 | + | 3.71568i | −0.204566 | + | 0.0403878i | ||||
\(93\) | − | 7.37279i | − | 0.0792773i | ||||||
\(94\) | −50.0155 | + | 60.8557i | −0.532080 | + | 0.647401i | ||||
\(95\) | − | 119.438i | − | 1.25725i | ||||||
\(96\) | 7.52413 | + | 2.31171i | 0.0783763 | + | 0.0240803i | ||||
\(97\) | 118.786 | 1.22460 | 0.612301 | − | 0.790625i | \(-0.290244\pi\) | ||||
0.612301 | + | 0.790625i | \(0.290244\pi\) | |||||||
\(98\) | −75.0864 | − | 61.7114i | −0.766188 | − | 0.629708i | ||||
\(99\) | 149.821 | 1.51334 | ||||||||
\(100\) | 0.879559 | + | 4.45500i | 0.00879559 | + | 0.0445500i | ||||
\(101\) | 135.565i | 1.34223i | 0.741355 | + | 0.671114i | \(0.234184\pi\) | ||||
−0.741355 | + | 0.671114i | \(0.765816\pi\) | |||||||
\(102\) | 0.0963840 | + | 0.0792152i | 0.000944941 | + | 0.000776620i | ||||
\(103\) | 95.2288i | 0.924551i | 0.886736 | + | 0.462276i | \(0.152967\pi\) | ||||
−0.886736 | + | 0.462276i | \(0.847033\pi\) | |||||||
\(104\) | −126.855 | − | 68.1541i | −1.21976 | − | 0.655328i | ||||
\(105\) | −0.763840 | −0.00727467 | ||||||||
\(106\) | 74.6540 | − | 90.8342i | 0.704283 | − | 0.856926i | ||||
\(107\) | −142.223 | −1.32919 | −0.664595 | − | 0.747204i | \(-0.731396\pi\) | ||||
−0.664595 | + | 0.747204i | \(0.731396\pi\) | |||||||
\(108\) | −3.41883 | − | 17.3165i | −0.0316558 | − | 0.160338i | ||||
\(109\) | − | 72.4948i | − | 0.665090i | −0.943087 | − | 0.332545i | \(-0.892093\pi\) | ||
0.943087 | − | 0.332545i | \(-0.107907\pi\) | |||||||
\(110\) | −103.969 | + | 126.503i | −0.945172 | + | 1.15002i | ||||
\(111\) | 7.04659i | 0.0634828i | ||||||||
\(112\) | −3.86537 | − | 9.40754i | −0.0345122 | − | 0.0839959i | ||||
\(113\) | −46.3232 | −0.409940 | −0.204970 | − | 0.978768i | \(-0.565710\pi\) | ||||
−0.204970 | + | 0.978768i | \(0.565710\pi\) | |||||||
\(114\) | 9.29224 | + | 7.63702i | 0.0815108 | + | 0.0669914i | ||||
\(115\) | −23.4284 | −0.203725 | ||||||||
\(116\) | −207.322 | + | 40.9319i | −1.78726 | + | 0.352861i | ||||
\(117\) | 160.915i | 1.37534i | ||||||||
\(118\) | −131.233 | − | 107.856i | −1.11214 | − | 0.914036i | ||||
\(119\) | − | 0.161206i | − | 0.00135467i | ||||||
\(120\) | 8.46827 | + | 4.54967i | 0.0705689 | + | 0.0379139i | ||||
\(121\) | 159.879 | 1.32131 | ||||||||
\(122\) | −18.3000 | + | 22.2663i | −0.150000 | + | 0.182510i | ||||
\(123\) | −12.7420 | −0.103594 | ||||||||
\(124\) | 117.624 | − | 23.2227i | 0.948578 | − | 0.187280i | ||||
\(125\) | 127.675i | 1.02140i | ||||||||
\(126\) | −7.21620 | + | 8.78021i | −0.0572714 | + | 0.0696842i | ||||
\(127\) | 54.1583i | 0.426443i | 0.977004 | + | 0.213222i | \(0.0683957\pi\) | ||||
−0.977004 | + | 0.213222i | \(0.931604\pi\) | |||||||
\(128\) | −13.1811 | + | 127.320i | −0.102978 | + | 0.994684i | ||||
\(129\) | −15.6621 | −0.121412 | ||||||||
\(130\) | −135.870 | − | 111.668i | −1.04515 | − | 0.858983i | ||||
\(131\) | 7.38200 | 0.0563511 | 0.0281756 | − | 0.999603i | \(-0.491030\pi\) | ||||
0.0281756 | + | 0.999603i | \(0.491030\pi\) | |||||||
\(132\) | −3.19394 | − | 16.1774i | −0.0241965 | − | 0.122556i | ||||
\(133\) | − | 15.5416i | − | 0.116854i | ||||||
\(134\) | 3.91379 | + | 3.21663i | 0.0292074 | + | 0.0240047i | ||||
\(135\) | − | 21.5567i | − | 0.159679i | ||||||
\(136\) | −0.960192 | + | 1.78720i | −0.00706024 | + | 0.0131412i | ||||
\(137\) | 176.884 | 1.29112 | 0.645561 | − | 0.763709i | \(-0.276624\pi\) | ||||
0.645561 | + | 0.763709i | \(0.276624\pi\) | |||||||
\(138\) | 1.49804 | − | 1.82272i | 0.0108553 | − | 0.0132081i | ||||
\(139\) | −37.7629 | −0.271676 | −0.135838 | − | 0.990731i | \(-0.543373\pi\) | ||||
−0.135838 | + | 0.990731i | \(0.543373\pi\) | |||||||
\(140\) | −2.40593 | − | 12.1861i | −0.0171852 | − | 0.0870437i | ||||
\(141\) | − | 9.68798i | − | 0.0687091i | ||||||
\(142\) | 83.6962 | − | 101.836i | 0.589410 | − | 0.717156i | ||||
\(143\) | 301.678i | 2.10964i | ||||||||
\(144\) | 132.300 | − | 54.3592i | 0.918748 | − | 0.377495i | ||||
\(145\) | −258.087 | −1.77991 | ||||||||
\(146\) | −60.1828 | − | 49.4625i | −0.412211 | − | 0.338784i | ||||
\(147\) | 11.9535 | 0.0813160 | ||||||||
\(148\) | −112.420 | + | 22.1952i | −0.759592 | + | 0.149968i | ||||
\(149\) | − | 260.886i | − | 1.75092i | −0.483294 | − | 0.875458i | \(-0.660560\pi\) | ||
0.483294 | − | 0.875458i | \(-0.339440\pi\) | |||||||
\(150\) | −0.431465 | − | 0.354609i | −0.00287643 | − | 0.00236406i | ||||
\(151\) | − | 40.7112i | − | 0.269611i | −0.990872 | − | 0.134805i | \(-0.956959\pi\) | ||
0.990872 | − | 0.134805i | \(-0.0430409\pi\) | |||||||
\(152\) | −92.5707 | + | 172.301i | −0.609018 | + | 1.13356i | ||||
\(153\) | 2.26706 | 0.0148174 | ||||||||
\(154\) | −13.5287 | + | 16.4608i | −0.0878486 | + | 0.106888i | ||||
\(155\) | 146.426 | 0.944681 | ||||||||
\(156\) | 17.3754 | − | 3.43045i | 0.111381 | − | 0.0219901i | ||||
\(157\) | − | 26.8871i | − | 0.171255i | −0.996327 | − | 0.0856275i | \(-0.972710\pi\) | ||
0.996327 | − | 0.0856275i | \(-0.0272895\pi\) | |||||||
\(158\) | −79.9230 | + | 97.2451i | −0.505842 | + | 0.615475i | ||||
\(159\) | 14.4604i | 0.0909462i | ||||||||
\(160\) | −45.9112 | + | 149.431i | −0.286945 | + | 0.933945i | ||||
\(161\) | −3.04856 | −0.0189351 | ||||||||
\(162\) | −122.636 | − | 100.791i | −0.757012 | − | 0.622167i | ||||
\(163\) | 135.994 | 0.834317 | 0.417158 | − | 0.908834i | \(-0.363026\pi\) | ||||
0.417158 | + | 0.908834i | \(0.363026\pi\) | |||||||
\(164\) | −40.1346 | − | 203.283i | −0.244723 | − | 1.23953i | ||||
\(165\) | − | 20.1387i | − | 0.122053i | ||||||
\(166\) | 199.498 | + | 163.962i | 1.20180 | + | 0.987722i | ||||
\(167\) | − | 229.215i | − | 1.37254i | −0.727346 | − | 0.686271i | \(-0.759246\pi\) | ||
0.727346 | − | 0.686271i | \(-0.240754\pi\) | |||||||
\(168\) | 1.10191 | + | 0.592014i | 0.00655899 | + | 0.00352389i | ||||
\(169\) | −155.017 | −0.917261 | ||||||||
\(170\) | −1.57324 | + | 1.91421i | −0.00925432 | + | 0.0112601i | ||||
\(171\) | 218.564 | 1.27815 | ||||||||
\(172\) | −49.3323 | − | 249.870i | −0.286816 | − | 1.45273i | ||||
\(173\) | − | 87.0344i | − | 0.503089i | −0.967846 | − | 0.251545i | \(-0.919061\pi\) | ||
0.967846 | − | 0.251545i | \(-0.0809385\pi\) | |||||||
\(174\) | 16.5024 | − | 20.0790i | 0.0948413 | − | 0.115397i | ||||
\(175\) | 0.721641i | 0.00412366i | ||||||||
\(176\) | 248.031 | − | 101.911i | 1.40927 | − | 0.579039i | ||||
\(177\) | 20.8917 | 0.118032 | ||||||||
\(178\) | 160.258 | + | 131.712i | 0.900329 | + | 0.739954i | ||||
\(179\) | 136.339 | 0.761668 | 0.380834 | − | 0.924643i | \(-0.375637\pi\) | ||||
0.380834 | + | 0.924643i | \(0.375637\pi\) | |||||||
\(180\) | 171.375 | − | 33.8349i | 0.952085 | − | 0.187972i | ||||
\(181\) | − | 101.555i | − | 0.561075i | −0.959843 | − | 0.280538i | \(-0.909487\pi\) | ||
0.959843 | − | 0.280538i | \(-0.0905127\pi\) | |||||||
\(182\) | −17.6797 | − | 14.5305i | −0.0971414 | − | 0.0798377i | ||||
\(183\) | − | 3.54470i | − | 0.0193699i | ||||||
\(184\) | 33.7976 | + | 18.1582i | 0.183683 | + | 0.0986857i | ||||
\(185\) | −139.947 | −0.756471 | ||||||||
\(186\) | −9.36261 | + | 11.3918i | −0.0503366 | + | 0.0612464i | ||||
\(187\) | 4.25020 | 0.0227284 | ||||||||
\(188\) | 154.560 | − | 30.5150i | 0.822126 | − | 0.162314i | ||||
\(189\) | − | 2.80501i | − | 0.0148413i | ||||||
\(190\) | −151.673 | + | 184.546i | −0.798280 | + | 0.971296i | ||||
\(191\) | 44.7448i | 0.234266i | 0.993116 | + | 0.117133i | \(0.0373704\pi\) | ||||
−0.993116 | + | 0.117133i | \(0.962630\pi\) | |||||||
\(192\) | −8.69004 | − | 13.1267i | −0.0452606 | − | 0.0683680i | ||||
\(193\) | −255.698 | −1.32486 | −0.662431 | − | 0.749123i | \(-0.730475\pi\) | ||||
−0.662431 | + | 0.749123i | \(0.730475\pi\) | |||||||
\(194\) | −183.539 | − | 150.845i | −0.946077 | − | 0.777554i | ||||
\(195\) | 21.6300 | 0.110923 | ||||||||
\(196\) | 37.6508 | + | 190.703i | 0.192096 | + | 0.972972i | ||||
\(197\) | 222.634i | 1.13012i | 0.825049 | + | 0.565061i | \(0.191147\pi\) | ||||
−0.825049 | + | 0.565061i | \(0.808853\pi\) | |||||||
\(198\) | −231.491 | − | 190.256i | −1.16915 | − | 0.960888i | ||||
\(199\) | 74.3564i | 0.373650i | 0.982393 | + | 0.186825i | \(0.0598198\pi\) | ||||
−0.982393 | + | 0.186825i | \(0.940180\pi\) | |||||||
\(200\) | 4.29832 | − | 8.00043i | 0.0214916 | − | 0.0400022i | ||||
\(201\) | −0.623059 | −0.00309980 | ||||||||
\(202\) | 172.152 | − | 209.464i | 0.852239 | − | 1.03695i | ||||
\(203\) | −33.5829 | −0.165433 | ||||||||
\(204\) | −0.0483301 | − | 0.244794i | −0.000236912 | − | 0.00119997i | ||||
\(205\) | − | 253.060i | − | 1.23444i | ||||||
\(206\) | 120.930 | − | 147.140i | 0.587038 | − | 0.714270i | ||||
\(207\) | − | 42.8723i | − | 0.207113i | ||||||
\(208\) | 109.457 | + | 266.397i | 0.526237 | + | 1.28076i | ||||
\(209\) | 409.756 | 1.96055 | ||||||||
\(210\) | 1.18022 | + | 0.969991i | 0.00562011 | + | 0.00461900i | ||||
\(211\) | −307.307 | −1.45643 | −0.728215 | − | 0.685348i | \(-0.759650\pi\) | ||||
−0.728215 | + | 0.685348i | \(0.759650\pi\) | |||||||
\(212\) | −230.698 | + | 45.5472i | −1.08820 | + | 0.214845i | ||||
\(213\) | 16.2119i | 0.0761123i | ||||||||
\(214\) | 219.752 | + | 180.608i | 1.02688 | + | 0.843961i | ||||
\(215\) | − | 311.054i | − | 1.44676i | ||||||
\(216\) | −16.7075 | + | 31.0976i | −0.0773496 | + | 0.143970i | ||||
\(217\) | 19.0532 | 0.0878029 | ||||||||
\(218\) | −92.0603 | + | 112.013i | −0.422295 | + | 0.513821i | ||||
\(219\) | 9.58086 | 0.0437482 | ||||||||
\(220\) | 321.288 | − | 63.4325i | 1.46040 | − | 0.288330i | ||||
\(221\) | 4.56493i | 0.0206558i | ||||||||
\(222\) | 8.94837 | − | 10.8878i | 0.0403080 | − | 0.0490441i | ||||
\(223\) | 176.917i | 0.793351i | 0.917959 | + | 0.396676i | \(0.129836\pi\) | ||||
−0.917959 | + | 0.396676i | \(0.870164\pi\) | |||||||
\(224\) | −5.97407 | + | 19.4443i | −0.0266700 | + | 0.0868051i | ||||
\(225\) | −10.1485 | −0.0451047 | ||||||||
\(226\) | 71.5748 | + | 58.8253i | 0.316702 | + | 0.260289i | ||||
\(227\) | −9.52657 | −0.0419673 | −0.0209836 | − | 0.999780i | \(-0.506680\pi\) | ||||
−0.0209836 | + | 0.999780i | \(0.506680\pi\) | |||||||
\(228\) | −4.65943 | − | 23.6002i | −0.0204361 | − | 0.103510i | ||||
\(229\) | − | 63.9221i | − | 0.279136i | −0.990213 | − | 0.139568i | \(-0.955429\pi\) | ||
0.990213 | − | 0.139568i | \(-0.0445713\pi\) | |||||||
\(230\) | 36.1996 | + | 29.7514i | 0.157390 | + | 0.129354i | ||||
\(231\) | − | 2.62050i | − | 0.0113441i | ||||||
\(232\) | 372.315 | + | 200.031i | 1.60481 | + | 0.862201i | ||||
\(233\) | −177.826 | −0.763202 | −0.381601 | − | 0.924327i | \(-0.624627\pi\) | ||||
−0.381601 | + | 0.924327i | \(0.624627\pi\) | |||||||
\(234\) | 204.344 | − | 248.633i | 0.873266 | − | 1.06253i | ||||
\(235\) | 192.406 | 0.818748 | ||||||||
\(236\) | 65.8043 | + | 333.301i | 0.278832 | + | 1.41229i | ||||
\(237\) | − | 15.4810i | − | 0.0653208i | ||||||
\(238\) | −0.204713 | + | 0.249082i | −0.000860139 | + | 0.00104656i | ||||
\(239\) | 118.872i | 0.497374i | 0.968584 | + | 0.248687i | \(0.0799991\pi\) | ||||
−0.968584 | + | 0.248687i | \(0.920001\pi\) | |||||||
\(240\) | −7.30689 | − | 17.7835i | −0.0304454 | − | 0.0740980i | ||||
\(241\) | −207.839 | −0.862403 | −0.431202 | − | 0.902256i | \(-0.641910\pi\) | ||||
−0.431202 | + | 0.902256i | \(0.641910\pi\) | |||||||
\(242\) | −247.032 | − | 203.028i | −1.02079 | − | 0.838960i | ||||
\(243\) | 59.2374 | 0.243775 | ||||||||
\(244\) | 56.5513 | − | 11.1650i | 0.231768 | − | 0.0457583i | ||||
\(245\) | 237.399i | 0.968974i | ||||||||
\(246\) | 19.6879 | + | 16.1810i | 0.0800323 | + | 0.0657762i | ||||
\(247\) | 440.098i | 1.78177i | ||||||||
\(248\) | −211.233 | − | 113.487i | −0.851744 | − | 0.457609i | ||||
\(249\) | −31.7593 | −0.127548 | ||||||||
\(250\) | 162.133 | − | 197.272i | 0.648530 | − | 0.789090i | ||||
\(251\) | −451.091 | −1.79717 | −0.898587 | − | 0.438796i | \(-0.855405\pi\) | ||||
−0.898587 | + | 0.438796i | \(0.855405\pi\) | |||||||
\(252\) | 22.2997 | − | 4.40268i | 0.0884911 | − | 0.0174710i | ||||
\(253\) | − | 80.3755i | − | 0.317690i | ||||||
\(254\) | 68.7750 | − | 83.6809i | 0.270768 | − | 0.329452i | ||||
\(255\) | − | 0.304735i | − | 0.00119504i | ||||||
\(256\) | 182.048 | − | 179.985i | 0.711124 | − | 0.703066i | ||||
\(257\) | 105.943 | 0.412230 | 0.206115 | − | 0.978528i | \(-0.433918\pi\) | ||||
0.206115 | + | 0.978528i | \(0.433918\pi\) | |||||||
\(258\) | 24.1998 | + | 19.8892i | 0.0937978 | + | 0.0770898i | ||||
\(259\) | −18.2102 | −0.0703098 | ||||||||
\(260\) | 68.1297 | + | 345.079i | 0.262037 | + | 1.32723i | ||||
\(261\) | − | 472.282i | − | 1.80951i | ||||||
\(262\) | −11.4060 | − | 9.37431i | −0.0435345 | − | 0.0357798i | ||||
\(263\) | 48.5726i | 0.184687i | 0.995727 | + | 0.0923433i | \(0.0294357\pi\) | ||||
−0.995727 | + | 0.0923433i | \(0.970564\pi\) | |||||||
\(264\) | −15.6085 | + | 29.0520i | −0.0591231 | + | 0.110045i | ||||
\(265\) | −287.188 | −1.08373 | ||||||||
\(266\) | −19.7361 | + | 24.0136i | −0.0741958 | + | 0.0902767i | ||||
\(267\) | −25.5125 | −0.0955525 | ||||||||
\(268\) | −1.96250 | − | 9.94014i | −0.00732276 | − | 0.0370901i | ||||
\(269\) | − | 447.913i | − | 1.66510i | −0.553947 | − | 0.832552i | \(-0.686879\pi\) | ||
0.553947 | − | 0.832552i | \(-0.313121\pi\) | |||||||
\(270\) | −27.3746 | + | 33.3076i | −0.101387 | + | 0.123362i | ||||
\(271\) | 254.776i | 0.940134i | 0.882631 | + | 0.470067i | \(0.155770\pi\) | ||||
−0.882631 | + | 0.470067i | \(0.844230\pi\) | |||||||
\(272\) | 3.75315 | − | 1.54209i | 0.0137983 | − | 0.00566946i | ||||
\(273\) | 2.81454 | 0.0103097 | ||||||||
\(274\) | −273.306 | − | 224.622i | −0.997467 | − | 0.819790i | ||||
\(275\) | −19.0261 | −0.0691860 | ||||||||
\(276\) | −4.62929 | + | 0.913969i | −0.0167728 | + | 0.00331148i | ||||
\(277\) | 134.568i | 0.485805i | 0.970051 | + | 0.242903i | \(0.0780995\pi\) | ||||
−0.970051 | + | 0.242903i | \(0.921900\pi\) | |||||||
\(278\) | 58.3481 | + | 47.9546i | 0.209885 | + | 0.172499i | ||||
\(279\) | 267.949i | 0.960389i | ||||||||
\(280\) | −11.7576 | + | 21.8842i | −0.0419913 | + | 0.0781580i | ||||
\(281\) | −138.880 | −0.494236 | −0.247118 | − | 0.968985i | \(-0.579484\pi\) | ||||
−0.247118 | + | 0.968985i | \(0.579484\pi\) | |||||||
\(282\) | −12.3026 | + | 14.9691i | −0.0436264 | + | 0.0530818i | ||||
\(283\) | 154.457 | 0.545785 | 0.272893 | − | 0.962044i | \(-0.412020\pi\) | ||||
0.272893 | + | 0.962044i | \(0.412020\pi\) | |||||||
\(284\) | −258.641 | + | 51.0640i | −0.910707 | + | 0.179803i | ||||
\(285\) | − | 29.3790i | − | 0.103084i | ||||||
\(286\) | 383.097 | − | 466.128i | 1.33950 | − | 1.62982i | ||||
\(287\) | − | 32.9288i | − | 0.114734i | ||||||
\(288\) | −273.449 | − | 84.0143i | −0.949474 | − | 0.291716i | ||||
\(289\) | −288.936 | −0.999777 | ||||||||
\(290\) | 398.775 | + | 327.742i | 1.37509 | + | 1.13014i | ||||
\(291\) | 29.2187 | 0.100408 | ||||||||
\(292\) | 30.1776 | + | 152.851i | 0.103348 | + | 0.523461i | ||||
\(293\) | 31.2735i | 0.106735i | 0.998575 | + | 0.0533677i | \(0.0169956\pi\) | ||||
−0.998575 | + | 0.0533677i | \(0.983004\pi\) | |||||||
\(294\) | −18.4695 | − | 15.1795i | −0.0628214 | − | 0.0516311i | ||||
\(295\) | 414.914i | 1.40649i | ||||||||
\(296\) | 201.887 | + | 108.466i | 0.682050 | + | 0.366439i | ||||
\(297\) | 73.9543 | 0.249004 | ||||||||
\(298\) | −331.296 | + | 403.100i | −1.11173 | + | 1.35268i | ||||
\(299\) | 86.3273 | 0.288720 | ||||||||
\(300\) | 0.216351 | + | 1.09582i | 0.000721169 | + | 0.00365275i | ||||
\(301\) | − | 40.4751i | − | 0.134469i | ||||||
\(302\) | −51.6987 | + | 62.9036i | −0.171188 | + | 0.208290i | ||||
\(303\) | 33.3458i | 0.110052i | ||||||||
\(304\) | 361.835 | − | 148.671i | 1.19025 | − | 0.489049i | ||||
\(305\) | 70.3987 | 0.230815 | ||||||||
\(306\) | −3.50287 | − | 2.87891i | −0.0114473 | − | 0.00940820i | ||||
\(307\) | 50.7041 | 0.165160 | 0.0825799 | − | 0.996584i | \(-0.473684\pi\) | ||||
0.0825799 | + | 0.996584i | \(0.473684\pi\) | |||||||
\(308\) | 41.8068 | − | 8.25399i | 0.135736 | − | 0.0267987i | ||||
\(309\) | 23.4240i | 0.0758059i | ||||||||
\(310\) | −226.245 | − | 185.944i | −0.729821 | − | 0.599819i | ||||
\(311\) | − | 582.285i | − | 1.87230i | −0.351603 | − | 0.936149i | \(-0.614363\pi\) | ||
0.351603 | − | 0.936149i | \(-0.385637\pi\) | |||||||
\(312\) | −31.2033 | − | 16.7643i | −0.100010 | − | 0.0537318i | ||||
\(313\) | −123.468 | −0.394465 | −0.197232 | − | 0.980357i | \(-0.563195\pi\) | ||||
−0.197232 | + | 0.980357i | \(0.563195\pi\) | |||||||
\(314\) | −34.1435 | + | 41.5436i | −0.108737 | + | 0.132305i | ||||
\(315\) | 27.7602 | 0.0881275 | ||||||||
\(316\) | 246.981 | − | 48.7619i | 0.781585 | − | 0.154310i | ||||
\(317\) | − | 208.509i | − | 0.657758i | −0.944372 | − | 0.328879i | \(-0.893329\pi\) | ||
0.944372 | − | 0.328879i | \(-0.106671\pi\) | |||||||
\(318\) | 18.3631 | − | 22.3431i | 0.0577457 | − | 0.0702612i | ||||
\(319\) | − | 885.417i | − | 2.77560i | ||||||
\(320\) | 260.699 | − | 172.587i | 0.814684 | − | 0.539333i | ||||
\(321\) | −34.9836 | −0.108983 | ||||||||
\(322\) | 4.71038 | + | 3.87132i | 0.0146285 | + | 0.0120227i | ||||
\(323\) | 6.20034 | 0.0191961 | ||||||||
\(324\) | 61.4937 | + | 311.468i | 0.189795 | + | 0.961320i | ||||
\(325\) | − | 20.4350i | − | 0.0628770i | ||||||
\(326\) | −210.126 | − | 172.697i | −0.644558 | − | 0.529744i | ||||
\(327\) | − | 17.8320i | − | 0.0545322i | ||||||
\(328\) | −196.134 | + | 365.063i | −0.597970 | + | 1.11300i | ||||
\(329\) | 25.0363 | 0.0760982 | ||||||||
\(330\) | −25.5739 | + | 31.1167i | −0.0774967 | + | 0.0942929i | ||||
\(331\) | −199.703 | −0.603331 | −0.301665 | − | 0.953414i | \(-0.597543\pi\) | ||||
−0.301665 | + | 0.953414i | \(0.597543\pi\) | |||||||
\(332\) | −100.035 | − | 506.681i | −0.301310 | − | 1.52615i | ||||
\(333\) | − | 256.093i | − | 0.769049i | ||||||
\(334\) | −291.077 | + | 354.163i | −0.871487 | + | 1.06037i | ||||
\(335\) | − | 12.3741i | − | 0.0369377i | ||||||
\(336\) | −0.950790 | − | 2.31403i | −0.00282973 | − | 0.00688701i | ||||
\(337\) | −335.306 | −0.994974 | −0.497487 | − | 0.867472i | \(-0.665744\pi\) | ||||
−0.497487 | + | 0.867472i | \(0.665744\pi\) | |||||||
\(338\) | 239.520 | + | 196.854i | 0.708638 | + | 0.582409i | ||||
\(339\) | −11.3944 | −0.0336119 | ||||||||
\(340\) | 4.86166 | − | 0.959848i | 0.0142990 | − | 0.00282308i | ||||
\(341\) | 502.340i | 1.47314i | ||||||||
\(342\) | −337.707 | − | 277.551i | −0.987446 | − | 0.811554i | ||||
\(343\) | 62.0386i | 0.180871i | ||||||||
\(344\) | −241.083 | + | 448.725i | −0.700822 | + | 1.30443i | ||||
\(345\) | −5.76283 | −0.0167039 | ||||||||
\(346\) | −110.524 | + | 134.478i | −0.319433 | + | 0.388666i | ||||
\(347\) | 150.724 | 0.434362 | 0.217181 | − | 0.976131i | \(-0.430314\pi\) | ||||
0.217181 | + | 0.976131i | \(0.430314\pi\) | |||||||
\(348\) | −50.9962 | + | 10.0683i | −0.146541 | + | 0.0289319i | ||||
\(349\) | 190.653i | 0.546284i | 0.961974 | + | 0.273142i | \(0.0880629\pi\) | ||||
−0.961974 | + | 0.273142i | \(0.911937\pi\) | |||||||
\(350\) | 0.916403 | − | 1.11502i | 0.00261829 | − | 0.00318577i | ||||
\(351\) | 79.4306i | 0.226298i | ||||||||
\(352\) | −512.652 | − | 157.507i | −1.45640 | − | 0.447463i | ||||
\(353\) | −390.652 | −1.10666 | −0.553332 | − | 0.832961i | \(-0.686644\pi\) | ||||
−0.553332 | + | 0.832961i | \(0.686644\pi\) | |||||||
\(354\) | −32.2801 | − | 26.5301i | −0.0911868 | − | 0.0749438i | ||||
\(355\) | −321.973 | −0.906966 | ||||||||
\(356\) | −80.3588 | − | 407.020i | −0.225727 | − | 1.14332i | ||||
\(357\) | − | 0.0396528i | − | 0.000111072i | ||||||
\(358\) | −210.659 | − | 173.135i | −0.588433 | − | 0.483616i | ||||
\(359\) | 436.136i | 1.21486i | 0.794372 | + | 0.607432i | \(0.207800\pi\) | ||||
−0.794372 | + | 0.607432i | \(0.792200\pi\) | |||||||
\(360\) | −307.761 | − | 165.348i | −0.854892 | − | 0.459301i | ||||
\(361\) | 236.765 | 0.655859 | ||||||||
\(362\) | −128.963 | + | 156.914i | −0.356251 | + | 0.433463i | ||||
\(363\) | 39.3265 | 0.108337 | ||||||||
\(364\) | 8.86520 | + | 44.9025i | 0.0243549 | + | 0.123359i | ||||
\(365\) | 190.278i | 0.521310i | ||||||||
\(366\) | −4.50137 | + | 5.47698i | −0.0122988 | + | 0.0149644i | ||||
\(367\) | − | 230.803i | − | 0.628891i | −0.949276 | − | 0.314445i | \(-0.898181\pi\) | ||
0.949276 | − | 0.314445i | \(-0.101819\pi\) | |||||||
\(368\) | −29.1625 | − | 70.9757i | −0.0792459 | − | 0.192869i | ||||
\(369\) | 463.082 | 1.25497 | ||||||||
\(370\) | 216.235 | + | 177.717i | 0.584418 | + | 0.480316i | ||||
\(371\) | −37.3696 | −0.100727 | ||||||||
\(372\) | 28.9327 | − | 5.71223i | 0.0777760 | − | 0.0153555i | ||||
\(373\) | 508.922i | 1.36440i | 0.731165 | + | 0.682201i | \(0.238977\pi\) | ||||
−0.731165 | + | 0.682201i | \(0.761023\pi\) | |||||||
\(374\) | −6.56706 | − | 5.39728i | −0.0175590 | − | 0.0144312i | ||||
\(375\) | 31.4050i | 0.0837466i | ||||||||
\(376\) | −277.563 | − | 149.124i | −0.738201 | − | 0.396607i | ||||
\(377\) | 950.981 | 2.52250 | ||||||||
\(378\) | −3.56205 | + | 4.33407i | −0.00942340 | + | 0.0114658i | ||||
\(379\) | −208.036 | −0.548909 | −0.274454 | − | 0.961600i | \(-0.588497\pi\) | ||||
−0.274454 | + | 0.961600i | \(0.588497\pi\) | |||||||
\(380\) | 468.706 | − | 92.5375i | 1.23344 | − | 0.243520i | ||||
\(381\) | 13.3217i | 0.0349650i | ||||||||
\(382\) | 56.8209 | − | 69.1360i | 0.148746 | − | 0.180984i | ||||
\(383\) | 552.136i | 1.44161i | 0.693139 | + | 0.720804i | \(0.256227\pi\) | ||||
−0.693139 | + | 0.720804i | \(0.743773\pi\) | |||||||
\(384\) | −3.24225 | + | 31.3176i | −0.00844336 | + | 0.0815563i | ||||
\(385\) | 52.0438 | 0.135179 | ||||||||
\(386\) | 395.084 | + | 324.708i | 1.02353 | + | 0.841213i | ||||
\(387\) | 569.208 | 1.47082 | ||||||||
\(388\) | 92.0324 | + | 466.147i | 0.237197 | + | 1.20141i | ||||
\(389\) | 422.016i | 1.08487i | 0.840097 | + | 0.542437i | \(0.182498\pi\) | ||||
−0.840097 | + | 0.542437i | \(0.817502\pi\) | |||||||
\(390\) | −33.4208 | − | 27.4676i | −0.0856945 | − | 0.0704298i | ||||
\(391\) | − | 1.21622i | − | 0.00311055i | ||||||
\(392\) | 183.996 | − | 342.470i | 0.469377 | − | 0.873648i | ||||
\(393\) | 1.81580 | 0.00462035 | ||||||||
\(394\) | 282.720 | − | 343.996i | 0.717564 | − | 0.873085i | ||||
\(395\) | 307.457 | 0.778373 | ||||||||
\(396\) | 116.077 | + | 587.935i | 0.293124 | + | 1.48468i | ||||
\(397\) | − | 439.410i | − | 1.10683i | −0.832907 | − | 0.553413i | \(-0.813325\pi\) | ||
0.832907 | − | 0.553413i | \(-0.186675\pi\) | |||||||
\(398\) | 94.4242 | − | 114.889i | 0.237247 | − | 0.288667i | ||||
\(399\) | − | 3.82287i | − | 0.00958112i | ||||||
\(400\) | −16.8011 | + | 6.90321i | −0.0420027 | + | 0.0172580i | ||||
\(401\) | −202.853 | −0.505869 | −0.252934 | − | 0.967483i | \(-0.581396\pi\) | ||||
−0.252934 | + | 0.967483i | \(0.581396\pi\) | |||||||
\(402\) | 0.962700 | + | 0.791215i | 0.00239478 | + | 0.00196820i | ||||
\(403\) | −539.538 | −1.33881 | ||||||||
\(404\) | −531.991 | + | 105.032i | −1.31681 | + | 0.259980i | ||||
\(405\) | 387.735i | 0.957371i | ||||||||
\(406\) | 51.8895 | + | 42.6465i | 0.127807 | + | 0.105041i | ||||
\(407\) | − | 480.115i | − | 1.17964i | ||||||
\(408\) | −0.236185 | + | 0.439608i | −0.000578884 | + | 0.00107747i | ||||
\(409\) | −96.8387 | −0.236769 | −0.118385 | − | 0.992968i | \(-0.537772\pi\) | ||||
−0.118385 | + | 0.992968i | \(0.537772\pi\) | |||||||
\(410\) | −321.358 | + | 391.007i | −0.783800 | + | 0.953677i | ||||
\(411\) | 43.5092 | 0.105862 | ||||||||
\(412\) | −373.701 | + | 73.7806i | −0.907042 | + | 0.179079i | ||||
\(413\) | 53.9897i | 0.130726i | ||||||||
\(414\) | −54.4430 | + | 66.2427i | −0.131505 | + | 0.160007i | ||||
\(415\) | − | 630.748i | − | 1.51988i | ||||||
\(416\) | 169.170 | − | 550.613i | 0.406659 | − | 1.32359i | ||||
\(417\) | −9.28879 | −0.0222753 | ||||||||
\(418\) | −633.120 | − | 520.344i | −1.51464 | − | 1.24484i | ||||
\(419\) | 342.596 | 0.817651 | 0.408825 | − | 0.912613i | \(-0.365939\pi\) | ||||
0.408825 | + | 0.912613i | \(0.365939\pi\) | |||||||
\(420\) | −0.591802 | − | 2.99750i | −0.00140905 | − | 0.00713690i | ||||
\(421\) | 296.426i | 0.704101i | 0.935981 | + | 0.352050i | \(0.114515\pi\) | ||||
−0.935981 | + | 0.352050i | \(0.885485\pi\) | |||||||
\(422\) | 474.825 | + | 390.245i | 1.12518 | + | 0.924751i | ||||
\(423\) | 352.089i | 0.832362i | ||||||||
\(424\) | 414.296 | + | 222.585i | 0.977113 | + | 0.524965i | ||||
\(425\) | −0.287899 | −0.000677411 | ||||||||
\(426\) | 20.5873 | − | 25.0493i | 0.0483270 | − | 0.0588012i | ||||
\(427\) | 9.16044 | 0.0214530 | ||||||||
\(428\) | −110.191 | − | 558.120i | −0.257455 | − | 1.30402i | ||||
\(429\) | 74.2057i | 0.172974i | ||||||||
\(430\) | −395.004 | + | 480.615i | −0.918614 | + | 1.11771i | ||||
\(431\) | − | 211.905i | − | 0.491660i | −0.969313 | − | 0.245830i | \(-0.920940\pi\) | ||
0.969313 | − | 0.245830i | \(-0.0790604\pi\) | |||||||
\(432\) | 65.3055 | − | 26.8327i | 0.151170 | − | 0.0621127i | ||||
\(433\) | −156.430 | −0.361271 | −0.180635 | − | 0.983550i | \(-0.557815\pi\) | ||||
−0.180635 | + | 0.983550i | \(0.557815\pi\) | |||||||
\(434\) | −29.4395 | − | 24.1955i | −0.0678329 | − | 0.0557499i | ||||
\(435\) | −63.4834 | −0.145939 | ||||||||
\(436\) | 284.488 | − | 56.1670i | 0.652495 | − | 0.128823i | ||||
\(437\) | − | 117.254i | − | 0.268317i | ||||||
\(438\) | −14.8035 | − | 12.1666i | −0.0337980 | − | 0.0277776i | ||||
\(439\) | 783.786i | 1.78539i | 0.450661 | + | 0.892695i | \(0.351188\pi\) | ||||
−0.450661 | + | 0.892695i | \(0.648812\pi\) | |||||||
\(440\) | −576.980 | − | 309.989i | −1.31132 | − | 0.704521i | ||||
\(441\) | −434.423 | −0.985086 | ||||||||
\(442\) | 5.79695 | − | 7.05335i | 0.0131153 | − | 0.0159578i | ||||
\(443\) | −212.023 | −0.478607 | −0.239304 | − | 0.970945i | \(-0.576919\pi\) | ||||
−0.239304 | + | 0.970945i | \(0.576919\pi\) | |||||||
\(444\) | −27.6526 | + | 5.45950i | −0.0622805 | + | 0.0122962i | ||||
\(445\) | − | 506.685i | − | 1.13862i | ||||||
\(446\) | 224.665 | − | 273.358i | 0.503734 | − | 0.612910i | ||||
\(447\) | − | 64.1719i | − | 0.143561i | ||||||
\(448\) | 33.9228 | − | 22.4574i | 0.0757204 | − | 0.0501281i | ||||
\(449\) | 426.299 | 0.949440 | 0.474720 | − | 0.880137i | \(-0.342549\pi\) | ||||
0.474720 | + | 0.880137i | \(0.342549\pi\) | |||||||
\(450\) | 15.6807 | + | 12.8875i | 0.0348460 | + | 0.0286389i | ||||
\(451\) | 868.170 | 1.92499 | ||||||||
\(452\) | −35.8899 | − | 181.784i | −0.0794025 | − | 0.402176i | ||||
\(453\) | − | 10.0140i | − | 0.0221060i | ||||||
\(454\) | 14.7197 | + | 12.0977i | 0.0324222 | + | 0.0266468i | ||||
\(455\) | 55.8976i | 0.122852i | ||||||||
\(456\) | −22.7702 | + | 42.3820i | −0.0499347 | + | 0.0929430i | ||||
\(457\) | 787.075 | 1.72226 | 0.861132 | − | 0.508381i | \(-0.169756\pi\) | ||||
0.861132 | + | 0.508381i | \(0.169756\pi\) | |||||||
\(458\) | −81.1738 | + | 98.7671i | −0.177235 | + | 0.215649i | ||||
\(459\) | 1.11906 | 0.00243804 | ||||||||
\(460\) | −18.1517 | − | 91.9388i | −0.0394601 | − | 0.199867i | ||||
\(461\) | − | 179.041i | − | 0.388375i | −0.980964 | − | 0.194188i | \(-0.937793\pi\) | ||
0.980964 | − | 0.194188i | \(-0.0622071\pi\) | |||||||
\(462\) | −3.32774 | + | 4.04897i | −0.00720289 | + | 0.00876401i | ||||
\(463\) | − | 582.563i | − | 1.25824i | −0.777310 | − | 0.629118i | \(-0.783416\pi\) | ||
0.777310 | − | 0.629118i | \(-0.216584\pi\) | |||||||
\(464\) | −321.254 | − | 781.869i | −0.692358 | − | 1.68506i | ||||
\(465\) | 36.0172 | 0.0774564 | ||||||||
\(466\) | 274.762 | + | 225.819i | 0.589618 | + | 0.484590i | ||||
\(467\) | 48.2342 | 0.103285 | 0.0516426 | − | 0.998666i | \(-0.483554\pi\) | ||||
0.0516426 | + | 0.998666i | \(0.483554\pi\) | |||||||
\(468\) | −631.471 | + | 124.673i | −1.34930 | + | 0.266394i | ||||
\(469\) | − | 1.61015i | − | 0.00343316i | ||||||
\(470\) | −297.290 | − | 244.334i | −0.632531 | − | 0.519859i | ||||
\(471\) | − | 6.61358i | − | 0.0140416i | ||||||
\(472\) | 321.580 | − | 598.553i | 0.681313 | − | 1.26812i | ||||
\(473\) | 1067.13 | 2.25609 | ||||||||
\(474\) | −19.6592 | + | 23.9200i | −0.0414751 | + | 0.0504642i | ||||
\(475\) | −27.7560 | −0.0584336 | ||||||||
\(476\) | 0.632611 | − | 0.124898i | 0.00132902 | − | 0.000262390i | ||||
\(477\) | − | 525.534i | − | 1.10175i | ||||||
\(478\) | 150.955 | − | 183.672i | 0.315805 | − | 0.384251i | ||||
\(479\) | − | 416.452i | − | 0.869420i | −0.900570 | − | 0.434710i | \(-0.856851\pi\) | ||
0.900570 | − | 0.434710i | \(-0.143149\pi\) | |||||||
\(480\) | −11.2931 | + | 36.7565i | −0.0235272 | + | 0.0765761i | ||||
\(481\) | 515.667 | 1.07207 | ||||||||
\(482\) | 321.136 | + | 263.932i | 0.666257 | + | 0.547578i | ||||
\(483\) | −0.749873 | −0.00155253 | ||||||||
\(484\) | 123.870 | + | 627.405i | 0.255929 | + | 1.29629i | ||||
\(485\) | 580.290i | 1.19647i | ||||||||
\(486\) | −91.5287 | − | 75.2248i | −0.188331 | − | 0.154784i | ||||
\(487\) | − | 646.073i | − | 1.32664i | −0.748336 | − | 0.663320i | \(-0.769147\pi\) | ||
0.748336 | − | 0.663320i | \(-0.230853\pi\) | |||||||
\(488\) | −101.557 | − | 54.5625i | −0.208108 | − | 0.111808i | ||||
\(489\) | 33.4512 | 0.0684074 | ||||||||
\(490\) | 301.470 | − | 366.809i | 0.615244 | − | 0.748589i | ||||
\(491\) | 585.821 | 1.19312 | 0.596560 | − | 0.802569i | \(-0.296534\pi\) | ||||
0.596560 | + | 0.802569i | \(0.296534\pi\) | |||||||
\(492\) | −9.87217 | − | 50.0029i | −0.0200654 | − | 0.101632i | ||||
\(493\) | − | 13.3979i | − | 0.0271763i | ||||||
\(494\) | 558.875 | − | 680.003i | 1.13133 | − | 1.37652i | ||||
\(495\) | 731.899i | 1.47858i | ||||||||
\(496\) | 182.263 | + | 443.592i | 0.367466 | + | 0.894340i | ||||
\(497\) | −41.8959 | −0.0842975 | ||||||||
\(498\) | 49.0719 | + | 40.3308i | 0.0985379 | + | 0.0809855i | ||||
\(499\) | 1.38299 | 0.00277153 | 0.00138576 | − | 0.999999i | \(-0.499559\pi\) | ||||
0.00138576 | + | 0.999999i | \(0.499559\pi\) | |||||||
\(500\) | −501.028 | + | 98.9188i | −1.00206 | + | 0.197838i | ||||
\(501\) | − | 56.3814i | − | 0.112538i | ||||||
\(502\) | 696.988 | + | 572.834i | 1.38842 | + | 1.14110i | ||||
\(503\) | − | 213.583i | − | 0.424619i | −0.977202 | − | 0.212309i | \(-0.931902\pi\) | ||
0.977202 | − | 0.212309i | \(-0.0680985\pi\) | |||||||
\(504\) | −40.0466 | − | 21.5155i | −0.0794576 | − | 0.0426895i | ||||
\(505\) | −662.256 | −1.31140 | ||||||||
\(506\) | −102.068 | + | 124.190i | −0.201715 | + | 0.245434i | ||||
\(507\) | −38.1306 | −0.0752082 | ||||||||
\(508\) | −212.531 | + | 41.9603i | −0.418368 | + | 0.0825991i | ||||
\(509\) | − | 847.860i | − | 1.66574i | −0.553472 | − | 0.832868i | \(-0.686697\pi\) | ||
0.553472 | − | 0.832868i | \(-0.313303\pi\) | |||||||
\(510\) | −0.386979 | + | 0.470851i | −0.000758782 | + | 0.000923237i | ||||
\(511\) | 24.7595i | 0.0484530i | ||||||||
\(512\) | −509.846 | + | 46.9175i | −0.995793 | + | 0.0916358i | ||||
\(513\) | 107.887 | 0.210306 | ||||||||
\(514\) | −163.695 | − | 134.536i | −0.318472 | − | 0.261743i | ||||
\(515\) | −465.207 | −0.903315 | ||||||||
\(516\) | −12.1346 | − | 61.4622i | −0.0235166 | − | 0.119113i | ||||
\(517\) | 660.084i | 1.27676i | ||||||||
\(518\) | 28.1370 | + | 23.1250i | 0.0543184 | + | 0.0446428i | ||||
\(519\) | − | 21.4084i | − | 0.0412494i | ||||||
\(520\) | 332.944 | − | 619.705i | 0.640276 | − | 1.19174i | ||||
\(521\) | 808.045 | 1.55095 | 0.775475 | − | 0.631379i | \(-0.217511\pi\) | ||||
0.775475 | + | 0.631379i | \(0.217511\pi\) | |||||||
\(522\) | −599.744 | + | 729.730i | −1.14894 | + | 1.39795i | ||||
\(523\) | −136.554 | −0.261097 | −0.130548 | − | 0.991442i | \(-0.541674\pi\) | ||||
−0.130548 | + | 0.991442i | \(0.541674\pi\) | |||||||
\(524\) | 5.71937 | + | 28.9688i | 0.0109148 | + | 0.0552840i | ||||
\(525\) | 0.177507i | 0.000338108i | ||||||||
\(526\) | 61.6817 | − | 75.0503i | 0.117266 | − | 0.142681i | ||||
\(527\) | 7.60131i | 0.0144237i | ||||||||
\(528\) | 61.0097 | − | 25.0677i | 0.115549 | − | 0.0474766i | ||||
\(529\) | −23.0000 | −0.0434783 | ||||||||
\(530\) | 443.739 | + | 364.696i | 0.837244 | + | 0.688107i | ||||
\(531\) | −759.265 | −1.42988 | ||||||||
\(532\) | 60.9891 | − | 12.0412i | 0.114641 | − | 0.0226338i | ||||
\(533\) | 932.458i | 1.74945i | ||||||||
\(534\) | 39.4198 | + | 32.3980i | 0.0738199 | + | 0.0606705i | ||||
\(535\) | − | 694.783i | − | 1.29866i | ||||||
\(536\) | −9.59057 | + | 17.8508i | −0.0178928 | + | 0.0333038i | ||||
\(537\) | 33.5361 | 0.0624508 | ||||||||
\(538\) | −568.799 | + | 692.078i | −1.05725 | + | 1.28639i | ||||
\(539\) | −814.441 | −1.51102 | ||||||||
\(540\) | 84.5938 | − | 16.7015i | 0.156655 | − | 0.0309288i | ||||
\(541\) | − | 425.750i | − | 0.786968i | −0.919331 | − | 0.393484i | \(-0.871270\pi\) | ||
0.919331 | − | 0.393484i | \(-0.128730\pi\) | |||||||
\(542\) | 323.537 | − | 393.659i | 0.596932 | − | 0.726309i | ||||
\(543\) | − | 24.9800i | − | 0.0460038i | ||||||
\(544\) | −7.75734 | − | 2.38336i | −0.0142598 | − | 0.00438118i | ||||
\(545\) | 354.149 | 0.649814 | ||||||||
\(546\) | −4.34880 | − | 3.57415i | −0.00796483 | − | 0.00654607i | ||||
\(547\) | −97.7525 | −0.178707 | −0.0893533 | − | 0.996000i | \(-0.528480\pi\) | ||||
−0.0893533 | + | 0.996000i | \(0.528480\pi\) | |||||||
\(548\) | 137.045 | + | 694.136i | 0.250081 | + | 1.26667i | ||||
\(549\) | 128.825i | 0.234653i | ||||||||
\(550\) | 29.3976 | + | 24.1611i | 0.0534502 | + | 0.0439292i | ||||
\(551\) | − | 1291.68i | − | 2.34424i | ||||||
\(552\) | 8.31343 | + | 4.46648i | 0.0150606 | + | 0.00809146i | ||||
\(553\) | 40.0071 | 0.0723455 | ||||||||
\(554\) | 170.886 | − | 207.923i | 0.308459 | − | 0.375313i | ||||
\(555\) | −34.4237 | −0.0620246 | ||||||||
\(556\) | −29.2576 | − | 148.191i | −0.0526217 | − | 0.266531i | ||||
\(557\) | 696.625i | 1.25067i | 0.780355 | + | 0.625337i | \(0.215038\pi\) | ||||
−0.780355 | + | 0.625337i | \(0.784962\pi\) | |||||||
\(558\) | 340.264 | − | 414.012i | 0.609793 | − | 0.741957i | ||||
\(559\) | 1146.15i | 2.05036i | ||||||||
\(560\) | 45.9573 | − | 18.8829i | 0.0820666 | − | 0.0337195i | ||||
\(561\) | 1.04545 | 0.00186355 | ||||||||
\(562\) | 214.586 | + | 176.362i | 0.381826 | + | 0.313812i | ||||
\(563\) | −534.873 | −0.950042 | −0.475021 | − | 0.879975i | \(-0.657559\pi\) | ||||
−0.475021 | + | 0.879975i | \(0.657559\pi\) | |||||||
\(564\) | 38.0181 | − | 7.50598i | 0.0674079 | − | 0.0133085i | ||||
\(565\) | − | 226.296i | − | 0.400524i | ||||||
\(566\) | −238.654 | − | 196.143i | −0.421651 | − | 0.346543i | ||||
\(567\) | 50.4530i | 0.0889824i | ||||||||
\(568\) | 464.476 | + | 249.545i | 0.817739 | + | 0.439340i | ||||
\(569\) | 612.178 | 1.07588 | 0.537942 | − | 0.842982i | \(-0.319202\pi\) | ||||
0.537942 | + | 0.842982i | \(0.319202\pi\) | |||||||
\(570\) | −37.3081 | + | 45.3940i | −0.0654527 | + | 0.0796386i | ||||
\(571\) | −10.7791 | −0.0188776 | −0.00943880 | − | 0.999955i | \(-0.503005\pi\) | ||||
−0.00943880 | + | 0.999955i | \(0.503005\pi\) | |||||||
\(572\) | −1183.86 | + | 233.732i | −2.06968 | + | 0.408622i | ||||
\(573\) | 11.0062i | 0.0192080i | ||||||||
\(574\) | −41.8158 | + | 50.8788i | −0.0728499 | + | 0.0886391i | ||||
\(575\) | 5.44446i | 0.00946863i | ||||||||
\(576\) | 315.821 | + | 477.061i | 0.548301 | + | 0.828231i | ||||
\(577\) | −200.659 | −0.347763 | −0.173882 | − | 0.984767i | \(-0.555631\pi\) | ||||
−0.173882 | + | 0.984767i | \(0.555631\pi\) | |||||||
\(578\) | 446.439 | + | 366.916i | 0.772386 | + | 0.634802i | ||||
\(579\) | −62.8958 | −0.108628 | ||||||||
\(580\) | −199.959 | − | 1012.80i | −0.344756 | − | 1.74620i | ||||
\(581\) | − | 82.0745i | − | 0.141264i | ||||||
\(582\) | −45.1463 | − | 37.1044i | −0.0775709 | − | 0.0637533i | ||||
\(583\) | − | 985.253i | − | 1.68997i | ||||||
\(584\) | 147.475 | − | 274.494i | 0.252526 | − | 0.470024i | ||||
\(585\) | −786.096 | −1.34375 | ||||||||
\(586\) | 39.7138 | − | 48.3212i | 0.0677710 | − | 0.0824594i | ||||
\(587\) | −354.828 | −0.604477 | −0.302238 | − | 0.953232i | \(-0.597734\pi\) | ||||
−0.302238 | + | 0.953232i | \(0.597734\pi\) | |||||||
\(588\) | 9.26120 | + | 46.9083i | 0.0157503 | + | 0.0797761i | ||||
\(589\) | 732.831i | 1.24419i | ||||||||
\(590\) | 526.895 | − | 641.091i | 0.893042 | − | 1.08660i | ||||
\(591\) | 54.7627i | 0.0926611i | ||||||||
\(592\) | −174.199 | − | 423.966i | −0.294255 | − | 0.716159i | ||||
\(593\) | −260.011 | −0.438467 | −0.219233 | − | 0.975672i | \(-0.570356\pi\) | ||||
−0.219233 | + | 0.975672i | \(0.570356\pi\) | |||||||
\(594\) | −114.268 | − | 93.9136i | −0.192370 | − | 0.158104i | ||||
\(595\) | 0.787515 | 0.00132355 | ||||||||
\(596\) | 1023.78 | − | 202.128i | 1.71776 | − | 0.339140i | ||||
\(597\) | 18.2899i | 0.0306364i | ||||||||
\(598\) | −133.386 | − | 109.626i | −0.223053 | − | 0.183321i | ||||
\(599\) | 409.205i | 0.683147i | 0.939855 | + | 0.341573i | \(0.110960\pi\) | ||||
−0.939855 | + | 0.341573i | \(0.889040\pi\) | |||||||
\(600\) | 1.05729 | − | 1.96792i | 0.00176214 | − | 0.00327986i | ||||
\(601\) | −499.713 | −0.831470 | −0.415735 | − | 0.909486i | \(-0.636476\pi\) | ||||
−0.415735 | + | 0.909486i | \(0.636476\pi\) | |||||||
\(602\) | −51.3988 | + | 62.5388i | −0.0853801 | + | 0.103885i | ||||
\(603\) | 22.6438 | 0.0375519 | ||||||||
\(604\) | 159.761 | − | 31.5419i | 0.264505 | − | 0.0522217i | ||||
\(605\) | 781.034i | 1.29097i | ||||||||
\(606\) | 42.3454 | − | 51.5231i | 0.0698769 | − | 0.0850217i | ||||
\(607\) | 1053.33i | 1.73530i | 0.497178 | + | 0.867648i | \(0.334369\pi\) | ||||
−0.497178 | + | 0.867648i | \(0.665631\pi\) | |||||||
\(608\) | −747.873 | − | 229.776i | −1.23005 | − | 0.377922i | ||||
\(609\) | −8.26061 | −0.0135642 | ||||||||
\(610\) | −108.774 | − | 89.3984i | −0.178318 | − | 0.146555i | ||||
\(611\) | −708.963 | −1.16033 | ||||||||
\(612\) | 1.75645 | + | 8.89651i | 0.00287002 | + | 0.0145368i | ||||
\(613\) | 651.709i | 1.06315i | 0.847012 | + | 0.531573i | \(0.178399\pi\) | ||||
−0.847012 | + | 0.531573i | \(0.821601\pi\) | |||||||
\(614\) | −78.3437 | − | 64.3885i | −0.127596 | − | 0.104867i | ||||
\(615\) | − | 62.2468i | − | 0.101214i | ||||||
\(616\) | −75.0780 | − | 40.3365i | −0.121880 | − | 0.0654814i | ||||
\(617\) | −130.834 | −0.212049 | −0.106024 | − | 0.994364i | \(-0.533812\pi\) | ||||
−0.106024 | + | 0.994364i | \(0.533812\pi\) | |||||||
\(618\) | 29.7459 | − | 36.1929i | 0.0481325 | − | 0.0585645i | ||||
\(619\) | 551.414 | 0.890814 | 0.445407 | − | 0.895328i | \(-0.353059\pi\) | ||||
0.445407 | + | 0.895328i | \(0.353059\pi\) | |||||||
\(620\) | 113.446 | + | 574.610i | 0.182978 | + | 0.926791i | ||||
\(621\) | − | 21.1625i | − | 0.0340782i | ||||||
\(622\) | −739.436 | + | 899.698i | −1.18880 | + | 1.44646i | ||||
\(623\) | − | 65.9311i | − | 0.105828i | ||||||
\(624\) | 26.9239 | + | 65.5275i | 0.0431473 | + | 0.105012i | ||||
\(625\) | −595.330 | −0.952528 | ||||||||
\(626\) | 190.772 | + | 156.790i | 0.304747 | + | 0.250463i | ||||
\(627\) | 100.790 | 0.160750 | ||||||||
\(628\) | 105.511 | − | 20.8313i | 0.168012 | − | 0.0331709i | ||||
\(629\) | − | 7.26499i | − | 0.0115501i | ||||||
\(630\) | −42.8927 | − | 35.2523i | −0.0680836 | − | 0.0559560i | ||||
\(631\) | 388.007i | 0.614908i | 0.951563 | + | 0.307454i | \(0.0994770\pi\) | ||||
−0.951563 | + | 0.307454i | \(0.900523\pi\) | |||||||
\(632\) | −443.536 | − | 238.295i | −0.701798 | − | 0.377049i | ||||
\(633\) | −75.5903 | −0.119416 | ||||||||
\(634\) | −264.783 | + | 322.171i | −0.417639 | + | 0.508157i | ||||
\(635\) | −264.572 | −0.416649 | ||||||||
\(636\) | −56.7464 | + | 11.2035i | −0.0892238 | + | 0.0176156i | ||||
\(637\) | − | 874.750i | − | 1.37323i | ||||||
\(638\) | −1124.38 | + | 1368.07i | −1.76235 | + | 2.14431i | ||||
\(639\) | − | 589.188i | − | 0.922047i | ||||||
\(640\) | −621.976 | − | 64.3919i | −0.971837 | − | 0.100612i | ||||
\(641\) | −1128.01 | −1.75976 | −0.879882 | − | 0.475192i | \(-0.842379\pi\) | ||||
−0.879882 | + | 0.475192i | \(0.842379\pi\) | |||||||
\(642\) | 54.0537 | + | 44.4252i | 0.0841958 | + | 0.0691981i | ||||
\(643\) | 872.385 | 1.35674 | 0.678371 | − | 0.734719i | \(-0.262686\pi\) | ||||
0.678371 | + | 0.734719i | \(0.262686\pi\) | |||||||
\(644\) | −2.36194 | − | 11.9633i | −0.00366760 | − | 0.0185765i | ||||
\(645\) | − | 76.5120i | − | 0.118623i | ||||||
\(646\) | −9.58024 | − | 7.87373i | −0.0148301 | − | 0.0121884i | ||||
\(647\) | 184.431i | 0.285056i | 0.989791 | + | 0.142528i | \(0.0455231\pi\) | ||||
−0.989791 | + | 0.142528i | \(0.954477\pi\) | |||||||
\(648\) | 300.514 | − | 559.344i | 0.463756 | − | 0.863185i | ||||
\(649\) | −1423.44 | −2.19329 | ||||||||
\(650\) | −25.9502 | + | 31.5745i | −0.0399233 | + | 0.0485761i | ||||
\(651\) | 4.68665 | 0.00719915 | ||||||||
\(652\) | 105.364 | + | 533.673i | 0.161601 | + | 0.818517i | ||||
\(653\) | − | 867.243i | − | 1.32809i | −0.747693 | − | 0.664045i | \(-0.768838\pi\) | ||
0.747693 | − | 0.664045i | \(-0.231162\pi\) | |||||||
\(654\) | −22.6447 | + | 27.5526i | −0.0346249 | + | 0.0421293i | ||||
\(655\) | 36.0622i | 0.0550568i | ||||||||
\(656\) | 766.639 | − | 314.996i | 1.16866 | − | 0.480178i | ||||
\(657\) | −348.196 | −0.529979 | ||||||||
\(658\) | −38.6840 | − | 31.7933i | −0.0587903 | − | 0.0483181i | ||||
\(659\) | 447.686 | 0.679342 | 0.339671 | − | 0.940544i | \(-0.389684\pi\) | ||||
0.339671 | + | 0.940544i | \(0.389684\pi\) | |||||||
\(660\) | 79.0293 | − | 15.6029i | 0.119741 | − | 0.0236408i | ||||
\(661\) | − | 319.213i | − | 0.482925i | −0.970410 | − | 0.241463i | \(-0.922373\pi\) | ||
0.970410 | − | 0.241463i | \(-0.0776271\pi\) | |||||||
\(662\) | 308.564 | + | 253.600i | 0.466108 | + | 0.383081i | ||||
\(663\) | 1.12286i | 0.00169361i | ||||||||
\(664\) | −488.862 | + | 909.914i | −0.736237 | + | 1.37035i | ||||
\(665\) | 75.9232 | 0.114170 | ||||||||
\(666\) | −325.210 | + | 395.694i | −0.488303 | + | 0.594135i | ||||
\(667\) | −253.368 | −0.379862 | ||||||||
\(668\) | 899.495 | − | 177.589i | 1.34655 | − | 0.265852i | ||||
\(669\) | 43.5175i | 0.0650486i | ||||||||
\(670\) | −15.7137 | + | 19.1195i | −0.0234533 | + | 0.0285365i | ||||
\(671\) | 241.516i | 0.359934i | ||||||||
\(672\) | −1.46948 | + | 4.78285i | −0.00218673 | + | 0.00711733i | ||||
\(673\) | −340.474 | −0.505905 | −0.252952 | − | 0.967479i | \(-0.581402\pi\) | ||||
−0.252952 | + | 0.967479i | \(0.581402\pi\) | |||||||
\(674\) | 518.087 | + | 425.801i | 0.768675 | + | 0.631752i | ||||
\(675\) | −5.00950 | −0.00742149 | ||||||||
\(676\) | −120.103 | − | 608.326i | −0.177667 | − | 0.899890i | ||||
\(677\) | 454.189i | 0.670885i | 0.942061 | + | 0.335443i | \(0.108886\pi\) | ||||
−0.942061 | + | 0.335443i | \(0.891114\pi\) | |||||||
\(678\) | 17.6057 | + | 14.4696i | 0.0259671 | + | 0.0213416i | ||||
\(679\) | 75.5087i | 0.111206i | ||||||||
\(680\) | −8.73074 | − | 4.69069i | −0.0128393 | − | 0.00689807i | ||||
\(681\) | −2.34331 | −0.00344099 | ||||||||
\(682\) | 637.916 | − | 776.175i | 0.935360 | − | 1.13809i | ||||
\(683\) | −588.505 | −0.861648 | −0.430824 | − | 0.902436i | \(-0.641777\pi\) | ||||
−0.430824 | + | 0.902436i | \(0.641777\pi\) | |||||||
\(684\) | 169.337 | + | 857.699i | 0.247569 | + | 1.25395i | ||||
\(685\) | 864.105i | 1.26147i | ||||||||
\(686\) | 78.7821 | − | 95.8569i | 0.114843 | − | 0.139733i | ||||
\(687\) | − | 15.7233i | − | 0.0228869i | ||||||
\(688\) | 942.331 | − | 387.185i | 1.36967 | − | 0.562768i | ||||
\(689\) | 1058.21 | 1.53586 | ||||||||
\(690\) | 8.90425 | + | 7.31815i | 0.0129047 | + | 0.0106060i | ||||
\(691\) | 411.419 | 0.595397 | 0.297698 | − | 0.954660i | \(-0.403781\pi\) | ||||
0.297698 | + | 0.954660i | \(0.403781\pi\) | |||||||
\(692\) | 341.545 | − | 67.4319i | 0.493562 | − | 0.0974449i | ||||
\(693\) | 95.2364i | 0.137426i | ||||||||
\(694\) | −232.885 | − | 191.402i | −0.335570 | − | 0.275795i | ||||
\(695\) | − | 184.478i | − | 0.265436i | ||||||
\(696\) | 91.5807 | + | 49.2028i | 0.131582 | + | 0.0706937i | ||||
\(697\) | 13.1370 | 0.0188479 | ||||||||
\(698\) | 242.108 | − | 294.581i | 0.346859 | − | 0.422036i | ||||
\(699\) | −43.7410 | −0.0625766 | ||||||||
\(700\) | −2.83190 | + | 0.559107i | −0.00404557 | + | 0.000798725i | ||||
\(701\) | − | 848.269i | − | 1.21008i | −0.796194 | − | 0.605042i | \(-0.793156\pi\) | ||
0.796194 | − | 0.605042i | \(-0.206844\pi\) | |||||||
\(702\) | 100.868 | − | 122.730i | 0.143686 | − | 0.174828i | ||||
\(703\) | − | 700.407i | − | 0.996312i | ||||||
\(704\) | 592.091 | + | 894.377i | 0.841038 | + | 1.27042i | ||||
\(705\) | 47.3273 | 0.0671309 | ||||||||
\(706\) | 603.603 | + | 496.084i | 0.854962 | + | 0.702669i | ||||
\(707\) | −86.1743 | −0.121887 | ||||||||
\(708\) | 16.1863 | + | 81.9842i | 0.0228620 | + | 0.115797i | ||||
\(709\) | − | 592.826i | − | 0.836144i | −0.908414 | − | 0.418072i | \(-0.862706\pi\) | ||
0.908414 | − | 0.418072i | \(-0.137294\pi\) | |||||||
\(710\) | 497.486 | + | 408.869i | 0.700684 | + | 0.575872i | ||||
\(711\) | 562.626i | 0.791316i | ||||||||
\(712\) | −392.706 | + | 730.941i | −0.551554 | + | 1.02660i | ||||
\(713\) | 143.748 | 0.201610 | ||||||||
\(714\) | −0.0503546 | + | 0.0612682i | −7.05247e−5 | + | 8.58098e-5i | ||||
\(715\) | −1473.74 | −2.06118 | ||||||||
\(716\) | 105.631 | + | 535.027i | 0.147530 | + | 0.747244i | ||||
\(717\) | 29.2398i | 0.0407808i | ||||||||
\(718\) | 553.844 | − | 673.881i | 0.771370 | − | 0.938553i | ||||
\(719\) | − | 389.239i | − | 0.541361i | −0.962669 | − | 0.270681i | \(-0.912751\pi\) | ||
0.962669 | − | 0.270681i | \(-0.0872488\pi\) | |||||||
\(720\) | 265.553 | + | 646.305i | 0.368824 | + | 0.897645i | ||||
\(721\) | −60.5339 | −0.0839582 | ||||||||
\(722\) | −365.830 | − | 300.665i | −0.506690 | − | 0.416434i | ||||
\(723\) | −51.1236 | −0.0707103 | ||||||||
\(724\) | 398.526 | − | 78.6817i | 0.550450 | − | 0.108676i | ||||
\(725\) | 59.9762i | 0.0827258i | ||||||||
\(726\) | −60.7640 | − | 49.9402i | −0.0836970 | − | 0.0687882i | ||||
\(727\) | 757.781i | 1.04234i | 0.853453 | + | 0.521170i | \(0.174504\pi\) | ||||
−0.853453 | + | 0.521170i | \(0.825496\pi\) | |||||||
\(728\) | 43.3234 | − | 80.6375i | 0.0595102 | − | 0.110766i | ||||
\(729\) | −699.759 | −0.959889 | ||||||||
\(730\) | 241.632 | − | 294.002i | 0.331003 | − | 0.402743i | ||||
\(731\) | 16.1476 | 0.0220897 | ||||||||
\(732\) | 13.9103 | − | 2.74633i | 0.0190031 | − | 0.00375182i | ||||
\(733\) | − | 925.330i | − | 1.26239i | −0.775625 | − | 0.631194i | \(-0.782565\pi\) | ||
0.775625 | − | 0.631194i | \(-0.217435\pi\) | |||||||
\(734\) | −293.094 | + | 356.617i | −0.399310 | + | 0.485855i | ||||
\(735\) | 58.3945i | 0.0794483i | ||||||||
\(736\) | −45.0717 | + | 146.699i | −0.0612388 | + | 0.199319i | ||||
\(737\) | 42.4518 | 0.0576008 | ||||||||
\(738\) | −715.516 | − | 588.063i | −0.969534 | − | 0.796833i | ||||
\(739\) | −1066.02 | −1.44252 | −0.721261 | − | 0.692663i | \(-0.756437\pi\) | ||||
−0.721261 | + | 0.692663i | \(0.756437\pi\) | |||||||
\(740\) | −108.427 | − | 549.187i | −0.146523 | − | 0.742145i | ||||
\(741\) | 108.254i | 0.146091i | ||||||||
\(742\) | 57.7404 | + | 47.4552i | 0.0778172 | + | 0.0639558i | ||||
\(743\) | − | 1178.68i | − | 1.58638i | −0.608975 | − | 0.793190i | \(-0.708419\pi\) | ||
0.608975 | − | 0.793190i | \(-0.291581\pi\) | |||||||
\(744\) | −51.9582 | − | 27.9152i | −0.0698363 | − | 0.0375204i | ||||
\(745\) | 1274.47 | 1.71070 | ||||||||
\(746\) | 646.273 | − | 786.343i | 0.866318 | − | 1.05408i | ||||
\(747\) | 1154.23 | 1.54515 | ||||||||
\(748\) | 3.29294 | + | 16.6789i | 0.00440232 | + | 0.0222979i | ||||
\(749\) | − | 90.4068i | − | 0.120703i | ||||||
\(750\) | 39.8808 | − | 48.5244i | 0.0531744 | − | 0.0646992i | ||||
\(751\) | 1318.16i | 1.75521i | 0.479385 | + | 0.877604i | \(0.340860\pi\) | ||||
−0.479385 | + | 0.877604i | \(0.659140\pi\) | |||||||
\(752\) | 239.497 | + | 582.889i | 0.318480 | + | 0.775118i | ||||
\(753\) | −110.958 | −0.147354 | ||||||||
\(754\) | −1469.38 | − | 1207.64i | −1.94878 | − | 1.60164i | ||||
\(755\) | 198.881 | 0.263418 | ||||||||
\(756\) | 11.0076 | − | 2.17324i | 0.0145603 | − | 0.00287466i | ||||
\(757\) | − | 545.745i | − | 0.720932i | −0.932772 | − | 0.360466i | \(-0.882618\pi\) | ||
0.932772 | − | 0.360466i | \(-0.117382\pi\) | |||||||
\(758\) | 321.441 | + | 264.183i | 0.424064 | + | 0.348526i | ||||
\(759\) | − | 19.7705i | − | 0.0260481i | ||||||
\(760\) | −841.717 | − | 452.222i | −1.10752 | − | 0.595029i | ||||
\(761\) | −170.477 | −0.224017 | −0.112009 | − | 0.993707i | \(-0.535728\pi\) | ||||
−0.112009 | + | 0.993707i | \(0.535728\pi\) | |||||||
\(762\) | 16.9170 | − | 20.5835i | 0.0222008 | − | 0.0270125i | ||||
\(763\) | 46.0827 | 0.0603967 | ||||||||
\(764\) | −175.590 | + | 34.6670i | −0.229830 | + | 0.0453757i | ||||
\(765\) | 11.0749i | 0.0144770i | ||||||||
\(766\) | 701.150 | − | 853.114i | 0.915339 | − | 1.11373i | ||||
\(767\) | − | 1528.85i | − | 1.99328i | ||||||
\(768\) | 44.7795 | − | 44.2721i | 0.0583066 | − | 0.0576459i | ||||
\(769\) | 953.372 | 1.23976 | 0.619878 | − | 0.784698i | \(-0.287182\pi\) | ||||
0.619878 | + | 0.784698i | \(0.287182\pi\) | |||||||
\(770\) | −80.4137 | − | 66.0897i | −0.104433 | − | 0.0858308i | ||||
\(771\) | 26.0595 | 0.0337996 | ||||||||
\(772\) | −198.108 | − | 1003.42i | −0.256616 | − | 1.29977i | ||||
\(773\) | 407.134i | 0.526694i | 0.964701 | + | 0.263347i | \(0.0848263\pi\) | ||||
−0.964701 | + | 0.263347i | \(0.915174\pi\) | |||||||
\(774\) | −879.492 | − | 722.830i | −1.13629 | − | 0.933888i | ||||
\(775\) | − | 34.0274i | − | 0.0439064i | ||||||
\(776\) | 449.754 | − | 837.123i | 0.579580 | − | 1.07877i | ||||
\(777\) | −4.47929 | −0.00576485 | ||||||||
\(778\) | 535.912 | − | 652.064i | 0.688834 | − | 0.838128i | ||||
\(779\) | 1266.52 | 1.62582 | ||||||||
\(780\) | 16.7583 | + | 84.8814i | 0.0214850 | + | 0.108822i | ||||
\(781\) | − | 1104.59i | − | 1.41433i | ||||||
\(782\) | −1.54447 | + | 1.87921i | −0.00197502 | + | 0.00240308i | ||||
\(783\) | − | 233.127i | − | 0.297735i | ||||||
\(784\) | −719.193 | + | 295.502i | −0.917338 | + | 0.376916i | ||||
\(785\) | 131.347 | 0.167322 | ||||||||
\(786\) | −2.80562 | − | 2.30586i | −0.00356949 | − | 0.00293366i | ||||
\(787\) | 713.833 | 0.907031 | 0.453515 | − | 0.891249i | \(-0.350170\pi\) | ||||
0.453515 | + | 0.891249i | \(0.350170\pi\) | |||||||
\(788\) | −873.671 | + | 172.491i | −1.10872 | + | 0.218897i | ||||
\(789\) | 11.9477i | 0.0151428i | ||||||||
\(790\) | −475.058 | − | 390.436i | −0.601339 | − | 0.494223i | ||||
\(791\) | − | 29.4462i | − | 0.0372265i | ||||||
\(792\) | 567.258 | − | 1055.83i | 0.716235 | − | 1.33312i | ||||
\(793\) | −259.400 | −0.327112 | ||||||||
\(794\) | −558.001 | + | 678.939i | −0.702772 | + | 0.855087i | ||||
\(795\) | −70.6415 | −0.0888572 | ||||||||
\(796\) | −291.793 | + | 57.6092i | −0.366574 | + | 0.0723734i | ||||
\(797\) | 919.878i | 1.15418i | 0.816682 | + | 0.577088i | \(0.195811\pi\) | ||||
−0.816682 | + | 0.577088i | \(0.804189\pi\) | |||||||
\(798\) | −4.85461 | + | 5.90678i | −0.00608347 | + | 0.00740198i | ||||
\(799\) | 9.98826i | 0.0125009i | ||||||||
\(800\) | 34.7259 | + | 10.6692i | 0.0434074 | + | 0.0133365i | ||||
\(801\) | 927.199 | 1.15755 | ||||||||
\(802\) | 313.432 | + | 257.601i | 0.390813 | + | 0.321198i | ||||
\(803\) | −652.785 | −0.812933 | ||||||||
\(804\) | −0.482729 | − | 2.44504i | −0.000600409 | − | 0.00304110i | ||||
\(805\) | − | 14.8927i | − | 0.0185002i | ||||||
\(806\) | 833.650 | + | 685.153i | 1.03431 | + | 0.850066i | ||||
\(807\) | − | 110.176i | − | 0.136525i | ||||||
\(808\) | 955.366 | + | 513.282i | 1.18238 | + | 0.635249i | ||||
\(809\) | −684.005 | −0.845494 | −0.422747 | − | 0.906248i | \(-0.638934\pi\) | ||||
−0.422747 | + | 0.906248i | \(0.638934\pi\) | |||||||
\(810\) | 492.380 | − | 599.096i | 0.607876 | − | 0.739625i | ||||
\(811\) | 857.285 | 1.05707 | 0.528536 | − | 0.848911i | \(-0.322741\pi\) | ||||
0.528536 | + | 0.848911i | \(0.322741\pi\) | |||||||
\(812\) | −26.0191 | − | 131.788i | −0.0320432 | − | 0.162300i | ||||
\(813\) | 62.6690i | 0.0770836i | ||||||||
\(814\) | −609.692 | + | 741.833i | −0.749007 | + | 0.911343i | ||||
\(815\) | 664.350i | 0.815154i | ||||||||
\(816\) | 0.923186 | − | 0.379318i | 0.00113136 | − | 0.000464851i | ||||
\(817\) | 1556.76 | 1.90546 | ||||||||
\(818\) | 149.627 | + | 122.974i | 0.182918 | + | 0.150335i | ||||
\(819\) | −102.289 | −0.124895 | ||||||||
\(820\) | 993.071 | − | 196.064i | 1.21106 | − | 0.239102i | ||||
\(821\) | − | 623.027i | − | 0.758863i | −0.925220 | − | 0.379432i | \(-0.876120\pi\) | ||
0.925220 | − | 0.379432i | \(-0.123880\pi\) | |||||||
\(822\) | −67.2269 | − | 55.2518i | −0.0817845 | − | 0.0672163i | ||||
\(823\) | 1479.00i | 1.79709i | 0.438884 | + | 0.898544i | \(0.355374\pi\) | ||||
−0.438884 | + | 0.898544i | \(0.644626\pi\) | |||||||
\(824\) | 671.105 | + | 360.559i | 0.814448 | + | 0.437572i | ||||
\(825\) | −4.67998 | −0.00567271 | ||||||||
\(826\) | 68.5608 | − | 83.4203i | 0.0830034 | − | 0.100993i | ||||
\(827\) | 285.203 | 0.344865 | 0.172432 | − | 0.985021i | \(-0.444837\pi\) | ||||
0.172432 | + | 0.985021i | \(0.444837\pi\) | |||||||
\(828\) | 168.242 | − | 33.2163i | 0.203190 | − | 0.0401163i | ||||
\(829\) | − | 769.997i | − | 0.928826i | −0.885619 | − | 0.464413i | \(-0.846265\pi\) | ||
0.885619 | − | 0.464413i | \(-0.153735\pi\) | |||||||
\(830\) | −800.980 | + | 974.580i | −0.965036 | + | 1.17419i | ||||
\(831\) | 33.1006i | 0.0398322i | ||||||||
\(832\) | −960.605 | + | 635.935i | −1.15457 | + | 0.764344i | ||||
\(833\) | −12.3239 | −0.0147947 | ||||||||
\(834\) | 14.3523 | + | 11.7957i | 0.0172089 | + | 0.0141435i | ||||
\(835\) | 1119.75 | 1.34102 | ||||||||
\(836\) | 317.467 | + | 1607.98i | 0.379746 | + | 1.92343i | ||||
\(837\) | 132.264i | 0.158022i | ||||||||
\(838\) | −529.350 | − | 435.058i | −0.631683 | − | 0.519162i | ||||
\(839\) | 583.444i | 0.695404i | 0.937605 | + | 0.347702i | \(0.113038\pi\) | ||||
−0.937605 | + | 0.347702i | \(0.886962\pi\) | |||||||
\(840\) | −2.89208 | + | 5.38301i | −0.00344296 | + | 0.00640834i | ||||
\(841\) | −1950.10 | −2.31879 | ||||||||
\(842\) | 376.428 | − | 458.013i | 0.447064 | − | 0.543959i | ||||
\(843\) | −34.1613 | −0.0405235 | ||||||||
\(844\) | −238.093 | − | 1205.95i | −0.282100 | − | 1.42885i | ||||
\(845\) | − | 757.283i | − | 0.896193i | ||||||
\(846\) | 447.114 | − | 544.019i | 0.528503 | − | 0.643049i | ||||
\(847\) | 101.630i | 0.119988i | ||||||||
\(848\) | −357.477 | − | 870.029i | −0.421553 | − | 1.02598i | ||||
\(849\) | 37.9928 | 0.0447501 | ||||||||
\(850\) | 0.444838 | + | 0.365600i | 0.000523339 | + | 0.000430118i | ||||
\(851\) | −137.388 | −0.161443 | ||||||||
\(852\) | −63.6196 | + | 12.5605i | −0.0746709 | + | 0.0147424i | ||||
\(853\) | − | 1468.52i | − | 1.72159i | −0.508948 | − | 0.860797i | \(-0.669965\pi\) | ||
0.508948 | − | 0.860797i | \(-0.330035\pi\) | |||||||
\(854\) | −14.1540 | − | 11.6327i | −0.0165737 | − | 0.0136215i | ||||
\(855\) | 1067.72i | 1.24879i | ||||||||
\(856\) | −538.492 | + | 1002.29i | −0.629079 | + | 1.17090i | ||||
\(857\) | −303.344 | −0.353960 | −0.176980 | − | 0.984214i | \(-0.556633\pi\) | ||||
−0.176980 | + | 0.984214i | \(0.556633\pi\) | |||||||
\(858\) | 94.2329 | − | 114.656i | 0.109829 | − | 0.133632i | ||||
\(859\) | 966.200 | 1.12480 | 0.562398 | − | 0.826867i | \(-0.309879\pi\) | ||||
0.562398 | + | 0.826867i | \(0.309879\pi\) | |||||||
\(860\) | 1220.65 | − | 240.996i | 1.41937 | − | 0.280228i | ||||
\(861\) | − | 8.09971i | − | 0.00940732i | ||||||
\(862\) | −269.096 | + | 327.418i | −0.312176 | + | 0.379836i | ||||
\(863\) | 1002.53i | 1.16168i | 0.814019 | + | 0.580838i | \(0.197275\pi\) | ||||
−0.814019 | + | 0.580838i | \(0.802725\pi\) | |||||||
\(864\) | −134.979 | − | 41.4710i | −0.156226 | − | 0.0479988i | ||||
\(865\) | 425.177 | 0.491534 | ||||||||
\(866\) | 241.703 | + | 198.649i | 0.279103 | + | 0.229387i | ||||
\(867\) | −71.0714 | −0.0819739 | ||||||||
\(868\) | 14.7619 | + | 74.7696i | 0.0170068 | + | 0.0861401i | ||||
\(869\) | 1054.79i | 1.21380i | ||||||||
\(870\) | 98.0892 | + | 80.6167i | 0.112746 | + | 0.0926629i | ||||
\(871\) | 45.5953i | 0.0523482i | ||||||||
\(872\) | −510.893 | − | 274.483i | −0.585886 | − | 0.314774i | ||||
\(873\) | −1061.89 | −1.21637 | ||||||||
\(874\) | −148.900 | + | 181.172i | −0.170366 | + | 0.207290i | ||||
\(875\) | −81.1588 | −0.0927529 | ||||||||
\(876\) | 7.42298 | + | 37.5977i | 0.00847372 | + | 0.0429197i | ||||
\(877\) | 1356.02i | 1.54620i | 0.634284 | + | 0.773100i | \(0.281295\pi\) | ||||
−0.634284 | + | 0.773100i | \(0.718705\pi\) | |||||||
\(878\) | 995.320 | − | 1211.04i | 1.13362 | − | 1.37932i | ||||
\(879\) | 7.69254i | 0.00875147i | ||||||||
\(880\) | 497.850 | + | 1211.67i | 0.565739 | + | 1.37690i | ||||
\(881\) | −1343.85 | −1.52536 | −0.762682 | − | 0.646773i | \(-0.776118\pi\) | ||||
−0.762682 | + | 0.646773i | \(0.776118\pi\) | |||||||
\(882\) | 671.234 | + | 551.668i | 0.761037 | + | 0.625474i | ||||
\(883\) | −17.2505 | −0.0195363 | −0.00976815 | − | 0.999952i | \(-0.503109\pi\) | ||||
−0.00976815 | + | 0.999952i | \(0.503109\pi\) | |||||||
\(884\) | −17.9139 | + | 3.53678i | −0.0202646 | + | 0.00400088i | ||||
\(885\) | 102.059i | 0.115321i | ||||||||
\(886\) | 327.600 | + | 269.245i | 0.369752 | + | 0.303889i | ||||
\(887\) | 1374.52i | 1.54962i | 0.632192 | + | 0.774811i | \(0.282155\pi\) | ||||
−0.632192 | + | 0.774811i | \(0.717845\pi\) | |||||||
\(888\) | 49.6594 | + | 26.6801i | 0.0559227 | + | 0.0300451i | ||||
\(889\) | −34.4267 | −0.0387252 | ||||||||
\(890\) | −643.433 | + | 782.888i | −0.722959 | + | 0.879649i | ||||
\(891\) | −1330.20 | −1.49293 | ||||||||
\(892\) | −694.268 | + | 137.071i | −0.778327 | + | 0.153667i | ||||
\(893\) | 962.953i | 1.07833i | ||||||||
\(894\) | −81.4911 | + | 99.1531i | −0.0911534 | + | 0.110910i | ||||
\(895\) | 666.035i | 0.744174i | ||||||||
\(896\) | −80.9330 | − | 8.37883i | −0.0903270 | − | 0.00935137i | ||||
\(897\) | 21.2345 | 0.0236728 | ||||||||
\(898\) | −658.681 | − | 541.351i | −0.733498 | − | 0.602841i | ||||
\(899\) | 1583.53 | 1.76144 | ||||||||
\(900\) | −7.86281 | − | 39.8254i | −0.00873646 | − | 0.0442505i | ||||
\(901\) | − | 14.9086i | − | 0.0165468i | ||||||
\(902\) | −1341.42 | − | 1102.48i | −1.48717 | − | 1.22226i | ||||
\(903\) | − | 9.95593i | − | 0.0110254i | ||||||
\(904\) | −175.391 | + | 326.453i | −0.194016 | + | 0.361121i | ||||
\(905\) | 496.110 | 0.548188 | ||||||||
\(906\) | −12.7167 | + | 15.4728i | −0.0140361 | + | 0.0170782i | ||||
\(907\) | 1602.33 | 1.76662 | 0.883310 | − | 0.468789i | \(-0.155309\pi\) | ||||
0.883310 | + | 0.468789i | \(0.155309\pi\) | |||||||
\(908\) | −7.38092 | − | 37.3846i | −0.00812877 | − | 0.0411725i | ||||
\(909\) | − | 1211.88i | − | 1.33320i | ||||||
\(910\) | 70.9836 | − | 86.3683i | 0.0780040 | − | 0.0949102i | ||||
\(911\) | − | 518.387i | − | 0.569030i | −0.958672 | − | 0.284515i | \(-0.908167\pi\) | ||
0.958672 | − | 0.284515i | \(-0.0918326\pi\) | |||||||
\(912\) | 89.0030 | − | 36.5695i | 0.0975910 | − | 0.0400982i | ||||
\(913\) | 2163.90 | 2.37010 | ||||||||
\(914\) | −1216.12 | − | 999.496i | −1.33055 | − | 1.09354i | ||||
\(915\) | 17.3164 | 0.0189250 | ||||||||
\(916\) | 250.846 | − | 49.5250i | 0.273849 | − | 0.0540666i | ||||
\(917\) | 4.69250i | 0.00511723i | ||||||||
\(918\) | −1.72908 | − | 1.42108i | −0.00188353 | − | 0.00154802i | ||||
\(919\) | − | 821.823i | − | 0.894258i | −0.894470 | − | 0.447129i | \(-0.852446\pi\) | ||
0.894470 | − | 0.447129i | \(-0.147554\pi\) | |||||||
\(920\) | −88.7055 | + | 165.107i | −0.0964190 | + | 0.179464i | ||||
\(921\) | 12.4720 | 0.0135418 | ||||||||
\(922\) | −227.362 | + | 276.639i | −0.246596 | + | 0.300043i | ||||
\(923\) | 1186.38 | 1.28535 | ||||||||
\(924\) | 10.2835 | − | 2.03029i | 0.0111293 | − | 0.00219728i | ||||
\(925\) | 32.5219i | 0.0351588i | ||||||||
\(926\) | −739.789 | + | 900.128i | −0.798909 | + | 0.972060i | ||||
\(927\) | − | 851.297i | − | 0.918336i | ||||||
\(928\) | −496.510 | + | 1616.03i | −0.535033 | + | 1.74142i | ||||
\(929\) | −940.145 | −1.01200 | −0.505998 | − | 0.862535i | \(-0.668876\pi\) | ||||
−0.505998 | + | 0.862535i | \(0.668876\pi\) | |||||||
\(930\) | −55.6508 | − | 45.7378i | −0.0598396 | − | 0.0491805i | ||||
\(931\) | −1188.13 | −1.27619 | ||||||||
\(932\) | −137.775 | − | 697.834i | −0.147827 | − | 0.748748i | ||||
\(933\) | − | 143.228i | − | 0.153514i | ||||||
\(934\) | −74.5275 | − | 61.2520i | −0.0797939 | − | 0.0655803i | ||||
\(935\) | 20.7629i | 0.0222063i | ||||||||
\(936\) | 1134.02 | + | 609.264i | 1.21156 | + | 0.650923i | ||||
\(937\) | 1362.55 | 1.45416 | 0.727080 | − | 0.686553i | \(-0.240877\pi\) | ||||
0.727080 | + | 0.686553i | \(0.240877\pi\) | |||||||
\(938\) | −2.04471 | + | 2.48787i | −0.00217986 | + | 0.00265231i | ||||
\(939\) | −30.3701 | −0.0323430 | ||||||||
\(940\) | 149.071 | + | 755.048i | 0.158586 | + | 0.803243i | ||||
\(941\) | − | 549.207i | − | 0.583642i | −0.956473 | − | 0.291821i | \(-0.905739\pi\) | ||
0.956473 | − | 0.291821i | \(-0.0942612\pi\) | |||||||
\(942\) | −8.39850 | + | 10.2188i | −0.00891561 | + | 0.0108479i | ||||
\(943\) | − | 248.433i | − | 0.263450i | ||||||
\(944\) | −1256.97 | + | 516.465i | −1.33154 | + | 0.547102i | ||||
\(945\) | 13.7029 | 0.0145004 | ||||||||
\(946\) | −1648.84 | − | 1355.14i | −1.74296 | − | 1.43249i | ||||
\(947\) | −248.617 | −0.262531 | −0.131265 | − | 0.991347i | \(-0.541904\pi\) | ||||
−0.131265 | + | 0.991347i | \(0.541904\pi\) | |||||||
\(948\) | 60.7514 | − | 11.9943i | 0.0640838 | − | 0.0126522i | ||||
\(949\) | − | 701.124i | − | 0.738803i | ||||||
\(950\) | 42.8862 | + | 35.2469i | 0.0451434 | + | 0.0371020i | ||||
\(951\) | − | 51.2884i | − | 0.0539310i | ||||||
\(952\) | −1.13606 | − | 0.610364i | −0.00119334 | − | 0.000641138i | ||||
\(953\) | −1061.89 | −1.11426 | −0.557130 | − | 0.830425i | \(-0.688097\pi\) | ||||
−0.557130 | + | 0.830425i | \(0.688097\pi\) | |||||||
\(954\) | −667.369 | + | 812.012i | −0.699548 | + | 0.851165i | ||||
\(955\) | −218.585 | −0.228885 | ||||||||
\(956\) | −466.485 | + | 92.0991i | −0.487955 | + | 0.0963379i | ||||
\(957\) | − | 217.792i | − | 0.227578i | ||||||
\(958\) | −528.848 | + | 643.468i | −0.552033 | + | 0.671678i | ||||
\(959\) | 112.439i | 0.117246i | ||||||||
\(960\) | 64.1258 | − | 42.4522i | 0.0667977 | − | 0.0442211i | ||||
\(961\) | 62.5855 | 0.0651254 | ||||||||
\(962\) | −796.766 | − | 654.839i | −0.828239 | − | 0.680706i | ||||
\(963\) | 1271.40 | 1.32025 | ||||||||
\(964\) | −161.028 | − | 815.613i | −0.167041 | − | 0.846071i | ||||
\(965\) | − | 1249.13i | − | 1.29443i | ||||||
\(966\) | 1.15864 | + | 0.952255i | 0.00119942 | + | 0.000985771i | ||||
\(967\) | 560.022i | 0.579133i | 0.957158 | + | 0.289567i | \(0.0935112\pi\) | ||||
−0.957158 | + | 0.289567i | \(0.906489\pi\) | |||||||
\(968\) | 605.341 | − | 1126.72i | 0.625352 | − | 1.16396i | ||||
\(969\) | 1.52514 | 0.00157393 | ||||||||
\(970\) | 736.903 | − | 896.616i | 0.759694 | − | 0.924347i | ||||
\(971\) | −1684.93 | −1.73525 | −0.867627 | − | 0.497216i | \(-0.834356\pi\) | ||||
−0.867627 | + | 0.497216i | \(0.834356\pi\) | |||||||
\(972\) | 45.8955 | + | 232.462i | 0.0472176 | + | 0.239159i | ||||
\(973\) | − | 24.0047i | − | 0.0246708i | ||||||
\(974\) | −820.441 | + | 998.259i | −0.842341 | + | 1.02491i | ||||
\(975\) | − | 5.02653i | − | 0.00515542i | ||||||
\(976\) | 87.6287 | + | 213.271i | 0.0897835 | + | 0.218515i | ||||
\(977\) | 1267.22 | 1.29705 | 0.648524 | − | 0.761194i | \(-0.275387\pi\) | ||||
0.648524 | + | 0.761194i | \(0.275387\pi\) | |||||||
\(978\) | −51.6861 | − | 42.4793i | −0.0528487 | − | 0.0434349i | ||||
\(979\) | 1738.28 | 1.77557 | ||||||||
\(980\) | −931.612 | + | 183.930i | −0.950624 | + | 0.187684i | ||||
\(981\) | 648.067i | 0.660619i | ||||||||
\(982\) | −905.163 | − | 743.927i | −0.921754 | − | 0.757563i | ||||
\(983\) | − | 368.352i | − | 0.374722i | −0.982291 | − | 0.187361i | \(-0.940007\pi\) | ||
0.982291 | − | 0.187361i | \(-0.0599934\pi\) | |||||||
\(984\) | −48.2444 | + | 89.7969i | −0.0490289 | + | 0.0912570i | ||||
\(985\) | −1087.60 | −1.10416 | ||||||||
\(986\) | −17.0139 | + | 20.7014i | −0.0172554 | + | 0.0209953i | ||||
\(987\) | 6.15834 | 0.00623945 | ||||||||
\(988\) | −1727.05 | + | 340.976i | −1.74803 | + | 0.345117i | ||||
\(989\) | − | 305.367i | − | 0.308763i | ||||||
\(990\) | 929.429 | − | 1130.87i | 0.938818 | − | 1.14229i | ||||
\(991\) | 883.011i | 0.891030i | 0.895274 | + | 0.445515i | \(0.146979\pi\) | ||||
−0.895274 | + | 0.445515i | \(0.853021\pi\) | |||||||
\(992\) | 281.695 | − | 916.856i | 0.283966 | − | 0.924250i | ||||
\(993\) | −49.1221 | −0.0494684 | ||||||||
\(994\) | 64.7340 | + | 53.2030i | 0.0651247 | + | 0.0535242i | ||||
\(995\) | −363.243 | −0.365068 | ||||||||
\(996\) | −24.6062 | − | 124.632i | −0.0247051 | − | 0.125132i | ||||
\(997\) | 1504.81i | 1.50934i | 0.656107 | + | 0.754668i | \(0.272202\pi\) | ||||
−0.656107 | + | 0.754668i | \(0.727798\pi\) | |||||||
\(998\) | −2.13688 | − | 1.75624i | −0.00214117 | − | 0.00175976i | ||||
\(999\) | − | 126.412i | − | 0.126539i |
(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 | 184.3.g.a.139.11 | ✓ | 44 | |
4.3 | odd | 2 | 736.3.g.a.47.22 | 44 | |||
8.3 | odd | 2 | inner | 184.3.g.a.139.12 | yes | 44 | |
8.5 | even | 2 | 736.3.g.a.47.21 | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
184.3.g.a.139.11 | ✓ | 44 | 1.1 | even | 1 | trivial | |
184.3.g.a.139.12 | yes | 44 | 8.3 | odd | 2 | inner | |
736.3.g.a.47.21 | 44 | 8.5 | even | 2 | |||
736.3.g.a.47.22 | 44 | 4.3 | odd | 2 |