Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), 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: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 2.3 | ||
Character | \(\chi\) | \(=\) | 29.2 |
Dual form | 29.3.f.a.15.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{28}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.415096 | + | 0.0467701i | 0.207548 | + | 0.0233851i | 0.215126 | − | 0.976586i | \(-0.430984\pi\) |
−0.00757815 | + | 0.999971i | \(0.502412\pi\) | |||||||
\(3\) | 2.68233 | + | 1.68542i | 0.894110 | + | 0.561807i | 0.898886 | − | 0.438182i | \(-0.144377\pi\) |
−0.00477622 | + | 0.999989i | \(0.501520\pi\) | |||||||
\(4\) | −3.72959 | − | 0.851255i | −0.932398 | − | 0.212814i | ||||
\(5\) | 0.738700 | − | 0.589093i | 0.147740 | − | 0.117819i | −0.546831 | − | 0.837243i | \(-0.684166\pi\) |
0.694571 | + | 0.719425i | \(0.255594\pi\) | |||||||
\(6\) | 1.03460 | + | 0.825065i | 0.172433 | + | 0.137511i | ||||
\(7\) | −0.577468 | − | 2.53005i | −0.0824954 | − | 0.361436i | 0.916784 | − | 0.399383i | \(-0.130775\pi\) |
−0.999280 | + | 0.0379466i | \(0.987918\pi\) | |||||||
\(8\) | −3.08546 | − | 1.07965i | −0.385682 | − | 0.134956i | ||||
\(9\) | 0.449302 | + | 0.932984i | 0.0499224 | + | 0.103665i | ||||
\(10\) | 0.334184 | − | 0.209981i | 0.0334184 | − | 0.0209981i | ||||
\(11\) | −8.65125 | + | 3.02720i | −0.786477 | + | 0.275200i | −0.693489 | − | 0.720467i | \(-0.743928\pi\) |
−0.0929879 | + | 0.995667i | \(0.529642\pi\) | |||||||
\(12\) | −8.56928 | − | 8.56928i | −0.714107 | − | 0.714107i | ||||
\(13\) | −4.51239 | + | 9.37008i | −0.347107 | + | 0.720775i | −0.999305 | − | 0.0372733i | \(-0.988133\pi\) |
0.652198 | + | 0.758049i | \(0.273847\pi\) | |||||||
\(14\) | −0.121374 | − | 1.07722i | −0.00866957 | − | 0.0769445i | ||||
\(15\) | 2.97431 | − | 0.335124i | 0.198287 | − | 0.0223416i | ||||
\(16\) | 12.5564 | + | 6.04684i | 0.784774 | + | 0.377927i | ||||
\(17\) | 21.4949 | − | 21.4949i | 1.26441 | − | 1.26441i | 0.315469 | − | 0.948936i | \(-0.397838\pi\) |
0.948936 | − | 0.315469i | \(-0.102162\pi\) | |||||||
\(18\) | 0.142868 | + | 0.408292i | 0.00793709 | + | 0.0226829i | ||||
\(19\) | 14.2589 | + | 22.6929i | 0.750467 | + | 1.19436i | 0.975498 | + | 0.220010i | \(0.0706090\pi\) |
−0.225030 | + | 0.974352i | \(0.572248\pi\) | |||||||
\(20\) | −3.25652 | + | 1.56826i | −0.162826 | + | 0.0784128i | ||||
\(21\) | 2.71524 | − | 7.75971i | 0.129297 | − | 0.369510i | ||||
\(22\) | −3.73269 | + | 0.851961i | −0.169668 | + | 0.0387255i | ||||
\(23\) | −2.27710 | + | 2.85539i | −0.0990042 | + | 0.124147i | −0.828866 | − | 0.559448i | \(-0.811013\pi\) |
0.729861 | + | 0.683595i | \(0.239585\pi\) | |||||||
\(24\) | −6.45655 | − | 8.09626i | −0.269023 | − | 0.337344i | ||||
\(25\) | −5.36438 | + | 23.5029i | −0.214575 | + | 0.940115i | ||||
\(26\) | −2.31132 | + | 3.67844i | −0.0888969 | + | 0.141479i | ||||
\(27\) | 2.82493 | − | 25.0719i | 0.104627 | − | 0.928589i | ||||
\(28\) | 9.92764i | 0.354558i | ||||||||
\(29\) | −24.3191 | − | 15.7981i | −0.838591 | − | 0.544761i | ||||
\(30\) | 1.25030 | 0.0416766 | ||||||||
\(31\) | 21.7090 | + | 2.44602i | 0.700291 | + | 0.0789039i | 0.454929 | − | 0.890528i | \(-0.349665\pi\) |
0.245362 | + | 0.969431i | \(0.421093\pi\) | |||||||
\(32\) | 16.0007 | + | 10.0539i | 0.500022 | + | 0.314185i | ||||
\(33\) | −28.3076 | − | 6.46103i | −0.857807 | − | 0.195789i | ||||
\(34\) | 9.92777 | − | 7.91713i | 0.291993 | − | 0.232857i | ||||
\(35\) | −1.91701 | − | 1.52877i | −0.0547718 | − | 0.0436790i | ||||
\(36\) | −0.881504 | − | 3.86212i | −0.0244862 | − | 0.107281i | ||||
\(37\) | −46.0478 | − | 16.1128i | −1.24454 | − | 0.435482i | −0.373927 | − | 0.927458i | \(-0.621989\pi\) |
−0.870608 | + | 0.491976i | \(0.836275\pi\) | |||||||
\(38\) | 4.85746 | + | 10.0866i | 0.127828 | + | 0.265437i | ||||
\(39\) | −27.8962 | + | 17.5284i | −0.715288 | + | 0.449445i | ||||
\(40\) | −2.91524 | + | 1.02009i | −0.0728810 | + | 0.0255021i | ||||
\(41\) | −25.3355 | − | 25.3355i | −0.617940 | − | 0.617940i | 0.327063 | − | 0.945003i | \(-0.393941\pi\) |
−0.945003 | + | 0.327063i | \(0.893941\pi\) | |||||||
\(42\) | 1.49001 | − | 3.09404i | 0.0354764 | − | 0.0736675i | ||||
\(43\) | 2.78030 | + | 24.6759i | 0.0646582 | + | 0.573857i | 0.983715 | + | 0.179733i | \(0.0575234\pi\) |
−0.919057 | + | 0.394124i | \(0.871048\pi\) | |||||||
\(44\) | 34.8426 | − | 3.92581i | 0.791877 | − | 0.0892231i | ||||
\(45\) | 0.881514 | + | 0.424515i | 0.0195892 | + | 0.00943366i | ||||
\(46\) | −1.07876 | + | 1.07876i | −0.0234513 | + | 0.0234513i | ||||
\(47\) | 7.49184 | + | 21.4104i | 0.159401 | + | 0.455541i | 0.995690 | − | 0.0927479i | \(-0.0295651\pi\) |
−0.836289 | + | 0.548289i | \(0.815279\pi\) | |||||||
\(48\) | 23.4889 | + | 37.3824i | 0.489352 | + | 0.778800i | ||||
\(49\) | 38.0798 | − | 18.3383i | 0.777138 | − | 0.374250i | ||||
\(50\) | −3.32597 | + | 9.50507i | −0.0665193 | + | 0.190101i | ||||
\(51\) | 93.8843 | − | 21.4285i | 1.84087 | − | 0.420166i | ||||
\(52\) | 24.8057 | − | 31.1054i | 0.477033 | − | 0.598181i | ||||
\(53\) | −18.6271 | − | 23.3576i | −0.351454 | − | 0.440709i | 0.574409 | − | 0.818568i | \(-0.305232\pi\) |
−0.925863 | + | 0.377859i | \(0.876660\pi\) | |||||||
\(54\) | 2.34523 | − | 10.2751i | 0.0434303 | − | 0.190280i | ||||
\(55\) | −4.60737 | + | 7.33259i | −0.0837704 | + | 0.133320i | ||||
\(56\) | −0.949813 | + | 8.42982i | −0.0169609 | + | 0.150533i | ||||
\(57\) | 84.9020i | 1.48951i | ||||||||
\(58\) | −9.35591 | − | 7.69514i | −0.161309 | − | 0.132675i | ||||
\(59\) | 18.2577 | 0.309453 | 0.154726 | − | 0.987957i | \(-0.450550\pi\) | ||||
0.154726 | + | 0.987957i | \(0.450550\pi\) | |||||||
\(60\) | −11.3782 | − | 1.28202i | −0.189637 | − | 0.0213670i | ||||
\(61\) | −78.8333 | − | 49.5342i | −1.29235 | − | 0.812037i | −0.302362 | − | 0.953193i | \(-0.597775\pi\) |
−0.989987 | + | 0.141156i | \(0.954918\pi\) | |||||||
\(62\) | 8.89694 | + | 2.03067i | 0.143499 | + | 0.0327527i | ||||
\(63\) | 2.10104 | − | 1.67552i | 0.0333499 | − | 0.0265956i | ||||
\(64\) | −37.4125 | − | 29.8355i | −0.584570 | − | 0.466179i | ||||
\(65\) | 2.18655 | + | 9.57990i | 0.0336392 | + | 0.147383i | ||||
\(66\) | −11.4482 | − | 4.00590i | −0.173458 | − | 0.0606955i | ||||
\(67\) | 24.5454 | + | 50.9691i | 0.366349 | + | 0.760732i | 0.999916 | − | 0.0129558i | \(-0.00412406\pi\) |
−0.633567 | + | 0.773688i | \(0.718410\pi\) | |||||||
\(68\) | −98.4648 | + | 61.8696i | −1.44801 | + | 0.909846i | ||||
\(69\) | −10.9205 | + | 3.82123i | −0.158267 | + | 0.0553802i | ||||
\(70\) | −0.724244 | − | 0.724244i | −0.0103463 | − | 0.0103463i | ||||
\(71\) | 56.1438 | − | 116.584i | 0.790758 | − | 1.64203i | 0.0243218 | − | 0.999704i | \(-0.492257\pi\) |
0.766436 | − | 0.642321i | \(-0.222028\pi\) | |||||||
\(72\) | −0.379006 | − | 3.36377i | −0.00526397 | − | 0.0467190i | ||||
\(73\) | 47.2614 | − | 5.32509i | 0.647417 | − | 0.0729464i | 0.217851 | − | 0.975982i | \(-0.430095\pi\) |
0.429566 | + | 0.903036i | \(0.358667\pi\) | |||||||
\(74\) | −18.3607 | − | 8.84204i | −0.248117 | − | 0.119487i | ||||
\(75\) | −54.0012 | + | 54.0012i | −0.720016 | + | 0.720016i | ||||
\(76\) | −33.8624 | − | 96.7732i | −0.445558 | − | 1.27333i | ||||
\(77\) | 12.6548 | + | 20.1400i | 0.164348 | + | 0.261558i | ||||
\(78\) | −12.3994 | + | 5.97125i | −0.158967 | + | 0.0765545i | ||||
\(79\) | −13.7375 | + | 39.2594i | −0.173892 | + | 0.496954i | −0.997536 | − | 0.0701522i | \(-0.977652\pi\) |
0.823644 | + | 0.567107i | \(0.191937\pi\) | |||||||
\(80\) | 12.8375 | − | 2.93009i | 0.160469 | − | 0.0366261i | ||||
\(81\) | 55.6449 | − | 69.7765i | 0.686974 | − | 0.861438i | ||||
\(82\) | −9.33174 | − | 11.7016i | −0.113802 | − | 0.142703i | ||||
\(83\) | −29.4538 | + | 129.046i | −0.354865 | + | 1.55477i | 0.410921 | + | 0.911671i | \(0.365207\pi\) |
−0.765786 | + | 0.643095i | \(0.777650\pi\) | |||||||
\(84\) | −16.7322 | + | 26.6292i | −0.199193 | + | 0.317014i | ||||
\(85\) | 3.21577 | − | 28.5408i | 0.0378326 | − | 0.335774i | ||||
\(86\) | 10.3729i | 0.120615i | ||||||||
\(87\) | −38.6056 | − | 83.3636i | −0.443742 | − | 0.958203i | ||||
\(88\) | 29.9614 | 0.340470 | ||||||||
\(89\) | 32.3276 | + | 3.64244i | 0.363231 | + | 0.0409263i | 0.291694 | − | 0.956512i | \(-0.405781\pi\) |
0.0715370 | + | 0.997438i | \(0.477210\pi\) | |||||||
\(90\) | 0.346059 | + | 0.217443i | 0.00384510 | + | 0.00241603i | ||||
\(91\) | 26.3125 | + | 6.00567i | 0.289149 | + | 0.0659963i | ||||
\(92\) | 10.9233 | − | 8.71105i | 0.118732 | − | 0.0946853i | ||||
\(93\) | 54.1082 | + | 43.1499i | 0.581809 | + | 0.463977i | ||||
\(94\) | 2.10847 | + | 9.23779i | 0.0224305 | + | 0.0982744i | ||||
\(95\) | 23.9012 | + | 8.36341i | 0.251592 | + | 0.0880359i | ||||
\(96\) | 25.9741 | + | 53.9358i | 0.270564 | + | 0.561831i | ||||
\(97\) | −36.1089 | + | 22.6888i | −0.372257 | + | 0.233905i | −0.705147 | − | 0.709061i | \(-0.749119\pi\) |
0.332890 | + | 0.942966i | \(0.391976\pi\) | |||||||
\(98\) | 16.6645 | − | 5.83115i | 0.170046 | − | 0.0595015i | ||||
\(99\) | −6.71135 | − | 6.71135i | −0.0677914 | − | 0.0677914i | ||||
\(100\) | 40.0139 | − | 83.0897i | 0.400139 | − | 0.830897i | ||||
\(101\) | 10.9637 | + | 97.3053i | 0.108551 | + | 0.963419i | 0.923425 | + | 0.383780i | \(0.125378\pi\) |
−0.814873 | + | 0.579639i | \(0.803194\pi\) | |||||||
\(102\) | 39.9733 | − | 4.50390i | 0.391895 | − | 0.0441559i | ||||
\(103\) | −66.1244 | − | 31.8438i | −0.641985 | − | 0.309164i | 0.0844205 | − | 0.996430i | \(-0.473096\pi\) |
−0.726405 | + | 0.687267i | \(0.758810\pi\) | |||||||
\(104\) | 24.0392 | − | 24.0392i | 0.231146 | − | 0.231146i | ||||
\(105\) | −2.56545 | − | 7.33162i | −0.0244328 | − | 0.0698250i | ||||
\(106\) | −6.63959 | − | 10.5668i | −0.0626376 | − | 0.0996872i | ||||
\(107\) | 55.3820 | − | 26.6706i | 0.517589 | − | 0.249258i | −0.156805 | − | 0.987630i | \(-0.550119\pi\) |
0.674394 | + | 0.738372i | \(0.264405\pi\) | |||||||
\(108\) | −31.8784 | + | 91.1033i | −0.295171 | + | 0.843549i | ||||
\(109\) | 154.567 | − | 35.2790i | 1.41805 | − | 0.323660i | 0.556294 | − | 0.830985i | \(-0.312223\pi\) |
0.861755 | + | 0.507325i | \(0.169366\pi\) | |||||||
\(110\) | −2.25545 | + | 2.82824i | −0.0205041 | + | 0.0257113i | ||||
\(111\) | −96.3585 | − | 120.830i | −0.868095 | − | 1.08856i | ||||
\(112\) | 8.04790 | − | 35.2602i | 0.0718562 | − | 0.314823i | ||||
\(113\) | −46.5316 | + | 74.0546i | −0.411784 | + | 0.655351i | −0.986642 | − | 0.162902i | \(-0.947914\pi\) |
0.574858 | + | 0.818253i | \(0.305057\pi\) | |||||||
\(114\) | −3.97088 | + | 35.2425i | −0.0348323 | + | 0.309145i | ||||
\(115\) | 3.45070i | 0.0300061i | ||||||||
\(116\) | 77.2523 | + | 79.6222i | 0.665968 | + | 0.686398i | ||||
\(117\) | −10.7696 | −0.0920475 | ||||||||
\(118\) | 7.57871 | + | 0.853915i | 0.0642263 | + | 0.00723657i | ||||
\(119\) | −66.7958 | − | 41.9706i | −0.561309 | − | 0.352694i | ||||
\(120\) | −9.53890 | − | 2.17719i | −0.0794909 | − | 0.0181433i | ||||
\(121\) | −28.9215 | + | 23.0641i | −0.239020 | + | 0.190612i | ||||
\(122\) | −30.4067 | − | 24.2485i | −0.249235 | − | 0.198759i | ||||
\(123\) | −25.2572 | − | 110.659i | −0.205343 | − | 0.899669i | ||||
\(124\) | −78.8837 | − | 27.6026i | −0.636159 | − | 0.222602i | ||||
\(125\) | 20.1314 | + | 41.8033i | 0.161051 | + | 0.334426i | ||||
\(126\) | 0.950499 | − | 0.597238i | 0.00754365 | − | 0.00473999i | ||||
\(127\) | −171.713 | + | 60.0851i | −1.35207 | + | 0.473111i | −0.906527 | − | 0.422148i | \(-0.861276\pi\) |
−0.445546 | + | 0.895259i | \(0.646990\pi\) | |||||||
\(128\) | −67.5837 | − | 67.5837i | −0.527998 | − | 0.527998i | ||||
\(129\) | −34.1315 | + | 70.8748i | −0.264585 | + | 0.549417i | ||||
\(130\) | 0.459576 | + | 4.07885i | 0.00353520 | + | 0.0313757i | ||||
\(131\) | −72.7489 | + | 8.19683i | −0.555335 | + | 0.0625712i | −0.385172 | − | 0.922845i | \(-0.625858\pi\) |
−0.170163 | + | 0.985416i | \(0.554429\pi\) | |||||||
\(132\) | 100.076 | + | 48.1940i | 0.758151 | + | 0.365106i | ||||
\(133\) | 49.1801 | − | 49.1801i | 0.369775 | − | 0.369775i | ||||
\(134\) | 7.80488 | + | 22.3051i | 0.0582454 | + | 0.166456i | ||||
\(135\) | −12.6829 | − | 20.1848i | −0.0939476 | − | 0.149517i | ||||
\(136\) | −89.5284 | + | 43.1146i | −0.658297 | + | 0.317019i | ||||
\(137\) | 65.2470 | − | 186.465i | 0.476255 | − | 1.36106i | −0.415933 | − | 0.909395i | \(-0.636545\pi\) |
0.892188 | − | 0.451664i | \(-0.149169\pi\) | |||||||
\(138\) | −4.71176 | + | 1.07543i | −0.0341432 | + | 0.00779296i | ||||
\(139\) | −38.5551 | + | 48.3466i | −0.277375 | + | 0.347817i | −0.900932 | − | 0.433961i | \(-0.857116\pi\) |
0.623557 | + | 0.781778i | \(0.285687\pi\) | |||||||
\(140\) | 5.84830 | + | 7.33354i | 0.0417736 | + | 0.0523824i | ||||
\(141\) | −15.9900 | + | 70.0568i | −0.113404 | + | 0.496856i | ||||
\(142\) | 28.7577 | − | 45.7677i | 0.202519 | − | 0.322308i | ||||
\(143\) | 10.6727 | − | 94.7228i | 0.0746343 | − | 0.662397i | ||||
\(144\) | 14.4318i | 0.100221i | ||||||||
\(145\) | −27.2711 | + | 2.65621i | −0.188076 | + | 0.0183187i | ||||
\(146\) | 19.8671 | 0.136076 | ||||||||
\(147\) | 133.050 | + | 14.9912i | 0.905103 | + | 0.101981i | ||||
\(148\) | 158.023 | + | 99.2927i | 1.06773 | + | 0.670897i | ||||
\(149\) | −29.6561 | − | 6.76882i | −0.199034 | − | 0.0454283i | 0.121841 | − | 0.992550i | \(-0.461120\pi\) |
−0.320876 | + | 0.947121i | \(0.603977\pi\) | |||||||
\(150\) | −24.9414 | + | 19.8901i | −0.166276 | + | 0.132601i | ||||
\(151\) | 110.649 | + | 88.2399i | 0.732777 | + | 0.584370i | 0.917177 | − | 0.398481i | \(-0.130463\pi\) |
−0.184399 | + | 0.982851i | \(0.559034\pi\) | |||||||
\(152\) | −19.4948 | − | 85.4124i | −0.128255 | − | 0.561924i | ||||
\(153\) | 29.7121 | + | 10.3967i | 0.194197 | + | 0.0679523i | ||||
\(154\) | 4.31101 | + | 8.95191i | 0.0279936 | + | 0.0581293i | ||||
\(155\) | 17.4774 | − | 10.9818i | 0.112757 | − | 0.0708501i | ||||
\(156\) | 118.963 | − | 41.6269i | 0.762582 | − | 0.266839i | ||||
\(157\) | 19.5784 | + | 19.5784i | 0.124703 | + | 0.124703i | 0.766704 | − | 0.642001i | \(-0.221895\pi\) |
−0.642001 | + | 0.766704i | \(0.721895\pi\) | |||||||
\(158\) | −7.53854 | + | 15.6539i | −0.0477123 | + | 0.0990755i | ||||
\(159\) | −10.5966 | − | 94.0472i | −0.0666451 | − | 0.591492i | ||||
\(160\) | 17.7424 | − | 1.99909i | 0.110890 | − | 0.0124943i | ||||
\(161\) | 8.53923 | + | 4.11228i | 0.0530387 | + | 0.0255421i | ||||
\(162\) | 26.3615 | − | 26.3615i | 0.162725 | − | 0.162725i | ||||
\(163\) | 34.1257 | + | 97.5257i | 0.209360 | + | 0.598317i | 0.999901 | − | 0.0140927i | \(-0.00448600\pi\) |
−0.790541 | + | 0.612410i | \(0.790200\pi\) | |||||||
\(164\) | 72.9242 | + | 116.058i | 0.444660 | + | 0.707672i | ||||
\(165\) | −24.7170 | + | 11.9031i | −0.149800 | + | 0.0721398i | ||||
\(166\) | −18.2617 | + | 52.1888i | −0.110010 | + | 0.314390i | ||||
\(167\) | −262.410 | + | 59.8934i | −1.57132 | + | 0.358643i | −0.917414 | − | 0.397934i | \(-0.869727\pi\) |
−0.653904 | + | 0.756577i | \(0.726870\pi\) | |||||||
\(168\) | −16.7555 | + | 21.0107i | −0.0997351 | + | 0.125064i | ||||
\(169\) | 37.9331 | + | 47.5666i | 0.224456 | + | 0.281459i | ||||
\(170\) | 2.66971 | − | 11.6968i | 0.0157042 | − | 0.0688045i | ||||
\(171\) | −14.7656 | + | 23.4993i | −0.0863483 | + | 0.137423i | ||||
\(172\) | 10.6361 | − | 94.3977i | 0.0618376 | − | 0.548824i | ||||
\(173\) | − | 126.379i | − | 0.730512i | −0.930907 | − | 0.365256i | \(-0.880981\pi\) | ||
0.930907 | − | 0.365256i | \(-0.119019\pi\) | |||||||
\(174\) | −12.1261 | − | 36.4095i | −0.0696903 | − | 0.209250i | ||||
\(175\) | 62.5612 | 0.357493 | ||||||||
\(176\) | −126.933 | − | 14.3020i | −0.721213 | − | 0.0812612i | ||||
\(177\) | 48.9732 | + | 30.7719i | 0.276685 | + | 0.173852i | ||||
\(178\) | 13.2487 | + | 3.02393i | 0.0744309 | + | 0.0169884i | ||||
\(179\) | 220.984 | − | 176.229i | 1.23455 | − | 0.984520i | 0.234626 | − | 0.972086i | \(-0.424614\pi\) |
0.999923 | − | 0.0124338i | \(-0.00395789\pi\) | |||||||
\(180\) | −2.92632 | − | 2.33366i | −0.0162573 | − | 0.0129648i | ||||
\(181\) | 51.3580 | + | 225.014i | 0.283746 | + | 1.24317i | 0.892949 | + | 0.450157i | \(0.148632\pi\) |
−0.609204 | + | 0.793014i | \(0.708511\pi\) | |||||||
\(182\) | 10.6414 | + | 3.72357i | 0.0584690 | + | 0.0204592i | ||||
\(183\) | −127.971 | − | 265.734i | −0.699295 | − | 1.45210i | ||||
\(184\) | 10.1087 | − | 6.35171i | 0.0549386 | − | 0.0345202i | ||||
\(185\) | −43.5075 | + | 15.2239i | −0.235175 | + | 0.0822914i | ||||
\(186\) | 20.4420 | + | 20.4420i | 0.109903 | + | 0.109903i | ||||
\(187\) | −120.888 | + | 251.027i | −0.646461 | + | 1.34239i | ||||
\(188\) | −9.71575 | − | 86.2297i | −0.0516795 | − | 0.458669i | ||||
\(189\) | −65.0645 | + | 7.33101i | −0.344257 | + | 0.0387884i | ||||
\(190\) | 9.53017 | + | 4.58949i | 0.0501588 | + | 0.0241552i | ||||
\(191\) | 68.5806 | − | 68.5806i | 0.359061 | − | 0.359061i | −0.504406 | − | 0.863467i | \(-0.668289\pi\) |
0.863467 | + | 0.504406i | \(0.168289\pi\) | |||||||
\(192\) | −50.0674 | − | 143.084i | −0.260767 | − | 0.745231i | ||||
\(193\) | −16.7176 | − | 26.6059i | −0.0866198 | − | 0.137855i | 0.800604 | − | 0.599194i | \(-0.204512\pi\) |
−0.887224 | + | 0.461339i | \(0.847369\pi\) | |||||||
\(194\) | −16.0499 | + | 7.72920i | −0.0827312 | + | 0.0398413i | ||||
\(195\) | −10.2811 | + | 29.3817i | −0.0527236 | + | 0.150675i | ||||
\(196\) | −157.633 | + | 35.9786i | −0.804248 | + | 0.183564i | ||||
\(197\) | −63.4701 | + | 79.5889i | −0.322183 | + | 0.404005i | −0.916377 | − | 0.400317i | \(-0.868900\pi\) |
0.594194 | + | 0.804322i | \(0.297471\pi\) | |||||||
\(198\) | −2.47197 | − | 3.09975i | −0.0124847 | − | 0.0156553i | ||||
\(199\) | 34.8200 | − | 152.557i | 0.174975 | − | 0.766616i | −0.808927 | − | 0.587909i | \(-0.799951\pi\) |
0.983902 | − | 0.178707i | \(-0.0571915\pi\) | |||||||
\(200\) | 41.9264 | − | 66.7254i | 0.209632 | − | 0.333627i | ||||
\(201\) | −20.0654 | + | 178.085i | −0.0998278 | + | 0.885996i | ||||
\(202\) | 40.9039i | 0.202494i | ||||||||
\(203\) | −25.9264 | + | 70.6516i | −0.127716 | + | 0.348037i | ||||
\(204\) | −368.391 | −1.80584 | ||||||||
\(205\) | −33.6403 | − | 3.79036i | −0.164099 | − | 0.0184895i | ||||
\(206\) | −25.9587 | − | 16.3109i | −0.126013 | − | 0.0791792i | ||||
\(207\) | −3.68714 | − | 0.841565i | −0.0178123 | − | 0.00406553i | ||||
\(208\) | −113.319 | + | 90.3686i | −0.544801 | + | 0.434465i | ||||
\(209\) | −192.053 | − | 153.157i | −0.918914 | − | 0.732810i | ||||
\(210\) | −0.722007 | − | 3.16332i | −0.00343813 | − | 0.0150634i | ||||
\(211\) | −19.1966 | − | 6.71718i | −0.0909791 | − | 0.0318350i | 0.284406 | − | 0.958704i | \(-0.408204\pi\) |
−0.375385 | + | 0.926869i | \(0.622489\pi\) | |||||||
\(212\) | 49.5881 | + | 102.971i | 0.233906 | + | 0.485711i | ||||
\(213\) | 347.089 | − | 218.090i | 1.62952 | − | 1.02390i | ||||
\(214\) | 24.2363 | − | 8.48064i | 0.113254 | − | 0.0396291i | ||||
\(215\) | 16.5902 | + | 16.5902i | 0.0771637 | + | 0.0771637i | ||||
\(216\) | −35.7850 | + | 74.3084i | −0.165671 | + | 0.344020i | ||||
\(217\) | −6.34771 | − | 56.3375i | −0.0292521 | − | 0.259620i | ||||
\(218\) | 65.8104 | − | 7.41505i | 0.301882 | − | 0.0340140i | ||||
\(219\) | 135.746 | + | 65.3717i | 0.619844 | + | 0.298501i | ||||
\(220\) | 23.4255 | − | 23.4255i | 0.106480 | − | 0.106480i | ||||
\(221\) | 104.415 | + | 298.402i | 0.472468 | + | 1.35024i | ||||
\(222\) | −34.3469 | − | 54.6627i | −0.154716 | − | 0.246228i | ||||
\(223\) | 228.933 | − | 110.248i | 1.02661 | − | 0.494387i | 0.156721 | − | 0.987643i | \(-0.449908\pi\) |
0.869884 | + | 0.493256i | \(0.164193\pi\) | |||||||
\(224\) | 16.1970 | − | 46.2884i | 0.0723081 | − | 0.206645i | ||||
\(225\) | −24.3380 | + | 5.55500i | −0.108169 | + | 0.0246889i | ||||
\(226\) | −22.7787 | + | 28.5635i | −0.100791 | + | 0.126387i | ||||
\(227\) | 261.380 | + | 327.760i | 1.15145 | + | 1.44388i | 0.875836 | + | 0.482609i | \(0.160311\pi\) |
0.275617 | + | 0.961268i | \(0.411118\pi\) | |||||||
\(228\) | 72.2733 | − | 316.650i | 0.316988 | − | 1.38882i | ||||
\(229\) | 140.386 | − | 223.424i | 0.613041 | − | 0.975649i | −0.385556 | − | 0.922685i | \(-0.625990\pi\) |
0.998596 | − | 0.0529641i | \(-0.0168669\pi\) | |||||||
\(230\) | −0.161390 | + | 1.43237i | −0.000701694 | + | 0.00622771i | ||||
\(231\) | 75.3507i | 0.326194i | ||||||||
\(232\) | 57.9793 | + | 75.0004i | 0.249911 | + | 0.323277i | ||||
\(233\) | 233.305 | 1.00131 | 0.500654 | − | 0.865648i | \(-0.333093\pi\) | ||||
0.500654 | + | 0.865648i | \(0.333093\pi\) | |||||||
\(234\) | −4.47041 | − | 0.503694i | −0.0191043 | − | 0.00215254i | ||||
\(235\) | 18.1470 | + | 11.4025i | 0.0772211 | + | 0.0485212i | ||||
\(236\) | −68.0938 | − | 15.5420i | −0.288533 | − | 0.0658558i | ||||
\(237\) | −103.017 | + | 82.1533i | −0.434671 | + | 0.346638i | ||||
\(238\) | −25.7637 | − | 20.5459i | −0.108251 | − | 0.0863272i | ||||
\(239\) | 37.0417 | + | 162.290i | 0.154986 | + | 0.679038i | 0.991392 | + | 0.130928i | \(0.0417956\pi\) |
−0.836406 | + | 0.548111i | \(0.815347\pi\) | |||||||
\(240\) | 39.3730 | + | 13.7772i | 0.164054 | + | 0.0574050i | ||||
\(241\) | −119.624 | − | 248.401i | −0.496363 | − | 1.03071i | −0.987204 | − | 0.159460i | \(-0.949025\pi\) |
0.490841 | − | 0.871249i | \(-0.336689\pi\) | |||||||
\(242\) | −13.0839 | + | 8.22116i | −0.0540657 | + | 0.0339717i | ||||
\(243\) | 52.5283 | − | 18.3804i | 0.216166 | − | 0.0756397i | ||||
\(244\) | 251.850 | + | 251.850i | 1.03217 | + | 1.03217i | ||||
\(245\) | 17.3266 | − | 35.9790i | 0.0707207 | − | 0.146853i | ||||
\(246\) | −5.30865 | − | 47.1155i | −0.0215799 | − | 0.191527i | ||||
\(247\) | −276.976 | + | 31.2077i | −1.12136 | + | 0.126347i | ||||
\(248\) | −64.3414 | − | 30.9852i | −0.259441 | − | 0.124940i | ||||
\(249\) | −296.501 | + | 296.501i | −1.19077 | + | 1.19077i | ||||
\(250\) | 6.40133 | + | 18.2940i | 0.0256053 | + | 0.0731758i | ||||
\(251\) | −222.330 | − | 353.836i | −0.885777 | − | 1.40971i | −0.912062 | − | 0.410052i | \(-0.865511\pi\) |
0.0262849 | − | 0.999654i | \(-0.491632\pi\) | |||||||
\(252\) | −9.26233 | + | 4.46050i | −0.0367553 | + | 0.0177004i | ||||
\(253\) | 11.0559 | − | 31.5959i | 0.0436992 | − | 0.124885i | ||||
\(254\) | −74.0878 | + | 16.9100i | −0.291684 | + | 0.0665750i | ||||
\(255\) | 56.7289 | − | 71.1358i | 0.222466 | − | 0.278964i | ||||
\(256\) | 94.4490 | + | 118.435i | 0.368941 | + | 0.462638i | ||||
\(257\) | 2.48412 | − | 10.8836i | 0.00966583 | − | 0.0423487i | −0.969865 | − | 0.243643i | \(-0.921658\pi\) |
0.979531 | + | 0.201294i | \(0.0645147\pi\) | |||||||
\(258\) | −17.4827 | + | 27.8235i | −0.0677624 | + | 0.107843i | ||||
\(259\) | −14.1752 | + | 125.808i | −0.0547303 | + | 0.485745i | ||||
\(260\) | − | 37.5904i | − | 0.144579i | ||||||
\(261\) | 3.81273 | − | 29.7875i | 0.0146082 | − | 0.114128i | ||||
\(262\) | −30.5812 | −0.116722 | ||||||||
\(263\) | −325.997 | − | 36.7310i | −1.23953 | − | 0.139662i | −0.532246 | − | 0.846590i | \(-0.678652\pi\) |
−0.707285 | + | 0.706928i | \(0.750080\pi\) | |||||||
\(264\) | 80.3662 | + | 50.4975i | 0.304418 | + | 0.191278i | ||||
\(265\) | −27.5196 | − | 6.28117i | −0.103848 | − | 0.0237025i | ||||
\(266\) | 22.7146 | − | 18.1143i | 0.0853934 | − | 0.0680990i | ||||
\(267\) | 80.5742 | + | 64.2558i | 0.301776 | + | 0.240658i | ||||
\(268\) | −48.1567 | − | 210.988i | −0.179689 | − | 0.787270i | ||||
\(269\) | 292.071 | + | 102.200i | 1.08577 | + | 0.379926i | 0.813066 | − | 0.582172i | \(-0.197797\pi\) |
0.272702 | + | 0.962099i | \(0.412083\pi\) | |||||||
\(270\) | −4.32059 | − | 8.97181i | −0.0160022 | − | 0.0332289i | ||||
\(271\) | 16.8213 | − | 10.5695i | 0.0620712 | − | 0.0390019i | −0.500639 | − | 0.865656i | \(-0.666902\pi\) |
0.562710 | + | 0.826654i | \(0.309759\pi\) | |||||||
\(272\) | 399.874 | − | 139.922i | 1.47013 | − | 0.514419i | ||||
\(273\) | 60.4569 | + | 60.4569i | 0.221454 | + | 0.221454i | ||||
\(274\) | 35.8048 | − | 74.3494i | 0.130674 | − | 0.271348i | ||||
\(275\) | −24.7394 | − | 219.568i | −0.0899615 | − | 0.798430i | ||||
\(276\) | 43.9817 | − | 4.95555i | 0.159354 | − | 0.0179549i | ||||
\(277\) | −278.671 | − | 134.201i | −1.00603 | − | 0.484480i | −0.143051 | − | 0.989715i | \(-0.545691\pi\) |
−0.862981 | + | 0.505236i | \(0.831406\pi\) | |||||||
\(278\) | −18.2653 | + | 18.2653i | −0.0657024 | + | 0.0657024i | ||||
\(279\) | 7.47180 | + | 21.3532i | 0.0267807 | + | 0.0765347i | ||||
\(280\) | 4.26433 | + | 6.78663i | 0.0152297 | + | 0.0242380i | ||||
\(281\) | −275.413 | + | 132.632i | −0.980118 | + | 0.472000i | −0.854146 | − | 0.520034i | \(-0.825919\pi\) |
−0.125972 | + | 0.992034i | \(0.540205\pi\) | |||||||
\(282\) | −9.91396 | + | 28.3325i | −0.0351559 | + | 0.100470i | ||||
\(283\) | −104.652 | + | 23.8861i | −0.369794 | + | 0.0844032i | −0.403380 | − | 0.915033i | \(-0.632165\pi\) |
0.0335853 | + | 0.999436i | \(0.489307\pi\) | |||||||
\(284\) | −308.636 | + | 387.017i | −1.08675 | + | 1.36274i | ||||
\(285\) | 50.0152 | + | 62.7171i | 0.175492 | + | 0.220060i | ||||
\(286\) | 8.86040 | − | 38.8199i | 0.0309804 | − | 0.135734i | ||||
\(287\) | −49.4697 | + | 78.7306i | −0.172368 | + | 0.274323i | ||||
\(288\) | −2.19100 | + | 19.4457i | −0.00760763 | + | 0.0675196i | ||||
\(289\) | − | 635.060i | − | 2.19744i | ||||||
\(290\) | −11.4444 | − | 0.172888i | −0.0394633 | − | 0.000596165i | ||||
\(291\) | −135.096 | −0.464248 | ||||||||
\(292\) | −180.799 | − | 20.3712i | −0.619175 | − | 0.0697642i | ||||
\(293\) | −230.684 | − | 144.948i | −0.787318 | − | 0.494705i | 0.0773772 | − | 0.997002i | \(-0.475345\pi\) |
−0.864695 | + | 0.502297i | \(0.832488\pi\) | |||||||
\(294\) | 54.5275 | + | 12.4456i | 0.185468 | + | 0.0423318i | ||||
\(295\) | 13.4870 | − | 10.7555i | 0.0457185 | − | 0.0364593i | ||||
\(296\) | 124.682 | + | 99.4308i | 0.421224 | + | 0.335915i | ||||
\(297\) | 51.4586 | + | 225.455i | 0.173261 | + | 0.759108i | ||||
\(298\) | −11.9936 | − | 4.19673i | −0.0402469 | − | 0.0140830i | ||||
\(299\) | −16.4801 | − | 34.2212i | −0.0551173 | − | 0.114452i | ||||
\(300\) | 247.372 | − | 155.434i | 0.824572 | − | 0.518113i | ||||
\(301\) | 60.8257 | − | 21.2838i | 0.202079 | − | 0.0707104i | ||||
\(302\) | 41.8032 | + | 41.8032i | 0.138421 | + | 0.138421i | ||||
\(303\) | −134.592 | + | 279.483i | −0.444198 | + | 0.922388i | ||||
\(304\) | 41.8199 | + | 371.162i | 0.137565 | + | 1.22093i | ||||
\(305\) | −87.4144 | + | 9.84924i | −0.286605 | + | 0.0322926i | ||||
\(306\) | 11.8471 | + | 5.70527i | 0.0387161 | + | 0.0186447i | ||||
\(307\) | −134.403 | + | 134.403i | −0.437796 | + | 0.437796i | −0.891270 | − | 0.453473i | \(-0.850185\pi\) |
0.453473 | + | 0.891270i | \(0.350185\pi\) | |||||||
\(308\) | −30.0530 | − | 85.8865i | −0.0975746 | − | 0.278852i | ||||
\(309\) | −123.697 | − | 196.863i | −0.400315 | − | 0.637097i | ||||
\(310\) | 7.76842 | − | 3.74108i | 0.0250594 | − | 0.0120680i | ||||
\(311\) | 60.8757 | − | 173.973i | 0.195742 | − | 0.559398i | −0.803619 | − | 0.595144i | \(-0.797095\pi\) |
0.999361 | + | 0.0357461i | \(0.0113808\pi\) | |||||||
\(312\) | 104.997 | − | 23.9649i | 0.336529 | − | 0.0768106i | ||||
\(313\) | 263.236 | − | 330.088i | 0.841010 | − | 1.05459i | −0.156746 | − | 0.987639i | \(-0.550101\pi\) |
0.997756 | − | 0.0669540i | \(-0.0213281\pi\) | |||||||
\(314\) | 7.21125 | + | 9.04262i | 0.0229658 | + | 0.0287981i | ||||
\(315\) | 0.564998 | − | 2.47542i | 0.00179364 | − | 0.00785847i | ||||
\(316\) | 84.6549 | − | 134.728i | 0.267895 | − | 0.426353i | ||||
\(317\) | −45.6880 | + | 405.492i | −0.144126 | + | 1.27915i | 0.688466 | + | 0.725268i | \(0.258284\pi\) |
−0.832592 | + | 0.553886i | \(0.813144\pi\) | |||||||
\(318\) | − | 39.5343i | − | 0.124322i | ||||||
\(319\) | 258.215 | + | 63.0541i | 0.809451 | + | 0.197662i | ||||
\(320\) | −45.2125 | −0.141289 | ||||||||
\(321\) | 193.504 | + | 21.8027i | 0.602816 | + | 0.0679210i | ||||
\(322\) | 3.35227 | + | 2.10637i | 0.0104108 | + | 0.00654153i | ||||
\(323\) | 794.274 | + | 181.288i | 2.45905 | + | 0.561263i | ||||
\(324\) | −266.930 | + | 212.870i | −0.823860 | + | 0.657006i | ||||
\(325\) | −196.018 | − | 156.319i | −0.603131 | − | 0.480981i | ||||
\(326\) | 9.60417 | + | 42.0786i | 0.0294607 | + | 0.129076i | ||||
\(327\) | 474.060 | + | 165.881i | 1.44973 | + | 0.507281i | ||||
\(328\) | 50.8182 | + | 105.525i | 0.154934 | + | 0.321723i | ||||
\(329\) | 49.8432 | − | 31.3186i | 0.151499 | − | 0.0951932i | ||||
\(330\) | −10.8166 | + | 3.78491i | −0.0327777 | + | 0.0114694i | ||||
\(331\) | 53.9759 | + | 53.9759i | 0.163069 | + | 0.163069i | 0.783925 | − | 0.620856i | \(-0.213215\pi\) |
−0.620856 | + | 0.783925i | \(0.713215\pi\) | |||||||
\(332\) | 219.702 | − | 456.215i | 0.661752 | − | 1.37414i | ||||
\(333\) | −5.65634 | − | 50.2014i | −0.0169860 | − | 0.150755i | ||||
\(334\) | −111.727 | + | 12.5886i | −0.334511 | + | 0.0376904i | ||||
\(335\) | 48.1572 | + | 23.1913i | 0.143753 | + | 0.0692277i | ||||
\(336\) | 81.0153 | − | 81.0153i | 0.241117 | − | 0.241117i | ||||
\(337\) | −100.512 | − | 287.246i | −0.298255 | − | 0.852363i | −0.991318 | − | 0.131486i | \(-0.958025\pi\) |
0.693063 | − | 0.720877i | \(-0.256261\pi\) | |||||||
\(338\) | 13.5212 | + | 21.5189i | 0.0400035 | + | 0.0636652i | ||||
\(339\) | −249.626 | + | 120.214i | −0.736361 | + | 0.354613i | ||||
\(340\) | −36.2890 | + | 103.708i | −0.106732 | + | 0.305024i | ||||
\(341\) | −195.215 | + | 44.5565i | −0.572478 | + | 0.130664i | ||||
\(342\) | −7.22820 | + | 9.06387i | −0.0211351 | + | 0.0265025i | ||||
\(343\) | −147.670 | − | 185.172i | −0.430525 | − | 0.539861i | ||||
\(344\) | 18.0627 | − | 79.1380i | 0.0525080 | − | 0.230052i | ||||
\(345\) | −5.81587 | + | 9.25591i | −0.0168576 | + | 0.0268287i | ||||
\(346\) | 5.91075 | − | 52.4593i | 0.0170831 | − | 0.151617i | ||||
\(347\) | − | 3.76060i | − | 0.0108375i | −0.999985 | − | 0.00541873i | \(-0.998275\pi\) | ||
0.999985 | − | 0.00541873i | \(-0.00172484\pi\) | |||||||
\(348\) | 73.0194 | + | 343.776i | 0.209826 | + | 0.987861i | ||||
\(349\) | 227.541 | 0.651979 | 0.325989 | − | 0.945373i | \(-0.394303\pi\) | ||||
0.325989 | + | 0.945373i | \(0.394303\pi\) | |||||||
\(350\) | 25.9689 | + | 2.92600i | 0.0741970 | + | 0.00835999i | ||||
\(351\) | 222.179 | + | 139.604i | 0.632988 | + | 0.397732i | ||||
\(352\) | −168.861 | − | 38.5415i | −0.479720 | − | 0.109493i | ||||
\(353\) | −317.199 | + | 252.957i | −0.898579 | + | 0.716593i | −0.959548 | − | 0.281547i | \(-0.909153\pi\) |
0.0609682 | + | 0.998140i | \(0.480581\pi\) | |||||||
\(354\) | 18.8894 | + | 15.0638i | 0.0533599 | + | 0.0425531i | ||||
\(355\) | −27.2053 | − | 119.194i | −0.0766347 | − | 0.335759i | ||||
\(356\) | −117.468 | − | 41.1039i | −0.329967 | − | 0.115460i | ||||
\(357\) | −108.430 | − | 225.158i | −0.303726 | − | 0.630694i | ||||
\(358\) | 99.9720 | − | 62.8166i | 0.279251 | − | 0.175465i | ||||
\(359\) | −237.999 | + | 83.2794i | −0.662949 | + | 0.231976i | −0.640717 | − | 0.767777i | \(-0.721363\pi\) |
−0.0222319 | + | 0.999753i | \(0.507077\pi\) | |||||||
\(360\) | −2.26155 | − | 2.26155i | −0.00628207 | − | 0.00628207i | ||||
\(361\) | −155.019 | + | 321.900i | −0.429415 | + | 0.891690i | ||||
\(362\) | 10.7946 | + | 95.8045i | 0.0298193 | + | 0.264653i | ||||
\(363\) | −116.450 | + | 13.1207i | −0.320798 | + | 0.0361452i | ||||
\(364\) | −93.0227 | − | 44.7974i | −0.255557 | − | 0.123070i | ||||
\(365\) | 31.7750 | − | 31.7750i | 0.0870549 | − | 0.0870549i | ||||
\(366\) | −40.6919 | − | 116.291i | −0.111180 | − | 0.317734i | ||||
\(367\) | −246.647 | − | 392.537i | −0.672063 | − | 1.06958i | −0.992492 | − | 0.122310i | \(-0.960970\pi\) |
0.320429 | − | 0.947273i | \(-0.396173\pi\) | |||||||
\(368\) | −45.8582 | + | 22.0841i | −0.124615 | + | 0.0600112i | ||||
\(369\) | 12.2544 | − | 35.0209i | 0.0332096 | − | 0.0949077i | ||||
\(370\) | −18.7718 | + | 4.28454i | −0.0507346 | + | 0.0115799i | ||||
\(371\) | −48.3394 | + | 60.6157i | −0.130295 | + | 0.163385i | ||||
\(372\) | −165.070 | − | 206.991i | −0.443737 | − | 0.556429i | ||||
\(373\) | −55.7998 | + | 244.475i | −0.149597 | + | 0.655429i | 0.843399 | + | 0.537287i | \(0.180551\pi\) |
−0.992997 | + | 0.118142i | \(0.962306\pi\) | |||||||
\(374\) | −61.9209 | + | 98.5465i | −0.165564 | + | 0.263493i | ||||
\(375\) | −16.4570 | + | 146.060i | −0.0438854 | + | 0.389494i | ||||
\(376\) | − | 74.1495i | − | 0.197206i | ||||||
\(377\) | 257.767 | − | 156.585i | 0.683731 | − | 0.415345i | ||||
\(378\) | −27.3509 | −0.0723570 | ||||||||
\(379\) | 487.332 | + | 54.9091i | 1.28584 | + | 0.144879i | 0.728291 | − | 0.685268i | \(-0.240315\pi\) |
0.557545 | + | 0.830147i | \(0.311743\pi\) | |||||||
\(380\) | −82.0226 | − | 51.5382i | −0.215849 | − | 0.135627i | ||||
\(381\) | −561.860 | − | 128.241i | −1.47470 | − | 0.336590i | ||||
\(382\) | 31.6751 | − | 25.2600i | 0.0829190 | − | 0.0661257i | ||||
\(383\) | 172.689 | + | 137.715i | 0.450886 | + | 0.359570i | 0.822450 | − | 0.568838i | \(-0.192607\pi\) |
−0.371564 | + | 0.928407i | \(0.621178\pi\) | |||||||
\(384\) | −67.3749 | − | 295.189i | −0.175455 | − | 0.768721i | ||||
\(385\) | 21.2124 | + | 7.42255i | 0.0550972 | + | 0.0192794i | ||||
\(386\) | −5.69506 | − | 11.8259i | −0.0147540 | − | 0.0306371i | ||||
\(387\) | −21.7730 | + | 13.6809i | −0.0562610 | + | 0.0353511i | ||||
\(388\) | 153.986 | − | 53.8819i | 0.396870 | − | 0.138871i | ||||
\(389\) | −291.445 | − | 291.445i | −0.749217 | − | 0.749217i | 0.225115 | − | 0.974332i | \(-0.427724\pi\) |
−0.974332 | + | 0.225115i | \(0.927724\pi\) | |||||||
\(390\) | −5.64183 | + | 11.7154i | −0.0144662 | + | 0.0300395i | ||||
\(391\) | 12.4303 | + | 110.322i | 0.0317911 | + | 0.282154i | ||||
\(392\) | −137.292 | + | 15.4691i | −0.350236 | + | 0.0394621i | ||||
\(393\) | −208.952 | − | 100.626i | −0.531684 | − | 0.256045i | ||||
\(394\) | −30.0686 | + | 30.0686i | −0.0763162 | + | 0.0763162i | ||||
\(395\) | 12.9796 | + | 37.0935i | 0.0328597 | + | 0.0939077i | ||||
\(396\) | 19.3175 | + | 30.7437i | 0.0487817 | + | 0.0776356i | ||||
\(397\) | −65.4912 | + | 31.5389i | −0.164965 | + | 0.0794430i | −0.514544 | − | 0.857464i | \(-0.672039\pi\) |
0.349579 | + | 0.936907i | \(0.386325\pi\) | |||||||
\(398\) | 21.5888 | − | 61.6972i | 0.0542431 | − | 0.155018i | ||||
\(399\) | 214.806 | − | 49.0281i | 0.538362 | − | 0.122878i | ||||
\(400\) | −209.475 | + | 262.674i | −0.523688 | + | 0.656684i | ||||
\(401\) | 324.268 | + | 406.619i | 0.808649 | + | 1.01401i | 0.999475 | + | 0.0323898i | \(0.0103118\pi\) |
−0.190826 | + | 0.981624i | \(0.561117\pi\) | |||||||
\(402\) | −16.6581 | + | 72.9841i | −0.0414382 | + | 0.181552i | ||||
\(403\) | −120.879 | + | 192.378i | −0.299948 | + | 0.477365i | ||||
\(404\) | 41.9416 | − | 372.242i | 0.103816 | − | 0.921392i | ||||
\(405\) | − | 84.3239i | − | 0.208207i | ||||||
\(406\) | −14.0663 | + | 28.1146i | −0.0346462 | + | 0.0692479i | ||||
\(407\) | 447.148 | 1.09864 | ||||||||
\(408\) | −312.811 | − | 35.2453i | −0.766694 | − | 0.0863856i | ||||
\(409\) | 250.417 | + | 157.347i | 0.612266 | + | 0.384712i | 0.802174 | − | 0.597090i | \(-0.203676\pi\) |
−0.189909 | + | 0.981802i | \(0.560819\pi\) | |||||||
\(410\) | −13.7867 | − | 3.14673i | −0.0336261 | − | 0.00767494i | ||||
\(411\) | 489.286 | − | 390.192i | 1.19048 | − | 0.949373i | ||||
\(412\) | 219.510 | + | 175.053i | 0.532791 | + | 0.424887i | ||||
\(413\) | −10.5432 | − | 46.1929i | −0.0255284 | − | 0.111847i | ||||
\(414\) | −1.49116 | − | 0.521779i | −0.00360183 | − | 0.00126033i | ||||
\(415\) | 54.2624 | + | 112.677i | 0.130753 | + | 0.271511i | ||||
\(416\) | −166.407 | + | 104.561i | −0.400018 | + | 0.251348i | ||||
\(417\) | −184.902 | + | 64.6999i | −0.443410 | + | 0.155156i | ||||
\(418\) | −72.5574 | − | 72.5574i | −0.173582 | − | 0.173582i | ||||
\(419\) | 59.7192 | − | 124.008i | 0.142528 | − | 0.295962i | −0.817469 | − | 0.575972i | \(-0.804624\pi\) |
0.959997 | + | 0.280010i | \(0.0903379\pi\) | |||||||
\(420\) | 3.32699 | + | 29.5278i | 0.00792140 | + | 0.0703044i | ||||
\(421\) | 432.517 | − | 48.7330i | 1.02736 | − | 0.115755i | 0.417833 | − | 0.908524i | \(-0.362790\pi\) |
0.609523 | + | 0.792768i | \(0.291361\pi\) | |||||||
\(422\) | −7.65428 | − | 3.68611i | −0.0181381 | − | 0.00873485i | ||||
\(423\) | −16.6095 | + | 16.6095i | −0.0392660 | + | 0.0392660i | ||||
\(424\) | 32.2550 | + | 92.1795i | 0.0760731 | + | 0.217404i | ||||
\(425\) | 389.885 | + | 620.498i | 0.917376 | + | 1.46000i | ||||
\(426\) | 154.275 | − | 74.2951i | 0.362149 | − | 0.174402i | ||||
\(427\) | −79.8005 | + | 228.057i | −0.186886 | + | 0.534091i | ||||
\(428\) | −229.256 | + | 52.3262i | −0.535645 | + | 0.122257i | ||||
\(429\) | 188.275 | − | 236.090i | 0.438870 | − | 0.550326i | ||||
\(430\) | 6.11061 | + | 7.66246i | 0.0142107 | + | 0.0178197i | ||||
\(431\) | 38.3560 | − | 168.049i | 0.0889930 | − | 0.389904i | −0.910741 | − | 0.412979i | \(-0.864488\pi\) |
0.999734 | + | 0.0230748i | \(0.00734557\pi\) | |||||||
\(432\) | 187.077 | − | 297.731i | 0.433048 | − | 0.689192i | ||||
\(433\) | 5.55493 | − | 49.3014i | 0.0128289 | − | 0.113860i | −0.985666 | − | 0.168711i | \(-0.946040\pi\) |
0.998495 | + | 0.0548506i | \(0.0174682\pi\) | |||||||
\(434\) | − | 23.6824i | − | 0.0545677i | ||||||
\(435\) | −77.6269 | − | 38.8384i | −0.178453 | − | 0.0892836i | ||||
\(436\) | −606.505 | −1.39107 | ||||||||
\(437\) | −97.2658 | − | 10.9592i | −0.222576 | − | 0.0250783i | ||||
\(438\) | 53.2902 | + | 33.4844i | 0.121667 | + | 0.0764485i | ||||
\(439\) | 190.067 | + | 43.3816i | 0.432955 | + | 0.0988191i | 0.433443 | − | 0.901181i | \(-0.357298\pi\) |
−0.000488576 | 1.00000i | \(0.500156\pi\) | ||||||||
\(440\) | 22.1324 | − | 17.6500i | 0.0503010 | − | 0.0401137i | ||||
\(441\) | 34.2186 | + | 27.2884i | 0.0775932 | + | 0.0618785i | ||||
\(442\) | 29.3862 | + | 128.749i | 0.0664845 | + | 0.291288i | ||||
\(443\) | −228.033 | − | 79.7920i | −0.514746 | − | 0.180117i | 0.0603905 | − | 0.998175i | \(-0.480765\pi\) |
−0.575137 | + | 0.818057i | \(0.695051\pi\) | |||||||
\(444\) | 256.521 | + | 532.672i | 0.577751 | + | 1.19971i | ||||
\(445\) | 26.0261 | − | 16.3533i | 0.0584856 | − | 0.0367490i | ||||
\(446\) | 100.186 | − | 35.0565i | 0.224631 | − | 0.0786019i | ||||
\(447\) | −68.1392 | − | 68.1392i | −0.152437 | − | 0.152437i | ||||
\(448\) | −53.8807 | + | 111.884i | −0.120269 | + | 0.249742i | ||||
\(449\) | −55.8565 | − | 495.740i | −0.124402 | − | 1.10410i | −0.888461 | − | 0.458952i | \(-0.848225\pi\) |
0.764059 | − | 0.645147i | \(-0.223204\pi\) | |||||||
\(450\) | −10.3624 | + | 1.16757i | −0.0230276 | + | 0.00259459i | ||||
\(451\) | 295.880 | + | 142.488i | 0.656053 | + | 0.315938i | ||||
\(452\) | 236.583 | − | 236.583i | 0.523415 | − | 0.523415i | ||||
\(453\) | 148.077 | + | 423.179i | 0.326880 | + | 0.934171i | ||||
\(454\) | 93.1685 | + | 148.277i | 0.205217 | + | 0.326601i | ||||
\(455\) | 22.9750 | − | 11.0642i | 0.0504944 | − | 0.0243168i | ||||
\(456\) | 91.6642 | − | 261.961i | 0.201018 | − | 0.574476i | ||||
\(457\) | 204.659 | − | 46.7120i | 0.447831 | − | 0.102215i | 0.00734312 | − | 0.999973i | \(-0.497663\pi\) |
0.440488 | + | 0.897759i | \(0.354805\pi\) | |||||||
\(458\) | 68.7234 | − | 86.1764i | 0.150051 | − | 0.188158i | ||||
\(459\) | −478.197 | − | 599.639i | −1.04182 | − | 1.30640i | ||||
\(460\) | 2.93743 | − | 12.8697i | 0.00638571 | − | 0.0279776i | ||||
\(461\) | −129.473 | + | 206.054i | −0.280852 | + | 0.446973i | −0.957124 | − | 0.289679i | \(-0.906451\pi\) |
0.676272 | + | 0.736652i | \(0.263594\pi\) | |||||||
\(462\) | −3.52417 | + | 31.2778i | −0.00762806 | + | 0.0677009i | ||||
\(463\) | 710.071i | 1.53363i | 0.641868 | + | 0.766815i | \(0.278160\pi\) | ||||
−0.641868 | + | 0.766815i | \(0.721840\pi\) | |||||||
\(464\) | −209.832 | − | 345.421i | −0.452225 | − | 0.744441i | ||||
\(465\) | 65.3890 | 0.140622 | ||||||||
\(466\) | 96.8439 | + | 10.9117i | 0.207820 | + | 0.0234156i | ||||
\(467\) | −676.037 | − | 424.782i | −1.44762 | − | 0.909598i | −0.999881 | − | 0.0154315i | \(-0.995088\pi\) |
−0.447735 | − | 0.894166i | \(-0.647769\pi\) | |||||||
\(468\) | 40.1661 | + | 9.16765i | 0.0858250 | + | 0.0195890i | ||||
\(469\) | 114.780 | − | 91.5341i | 0.244734 | − | 0.195169i | ||||
\(470\) | 6.99944 | + | 5.58187i | 0.0148924 | + | 0.0118763i | ||||
\(471\) | 19.5179 | + | 85.5136i | 0.0414393 | + | 0.181558i | ||||
\(472\) | −56.3333 | − | 19.7119i | −0.119350 | − | 0.0417625i | ||||
\(473\) | −98.7519 | − | 205.061i | −0.208778 | − | 0.433532i | ||||
\(474\) | −46.6043 | + | 29.2834i | −0.0983213 | + | 0.0617794i | ||||
\(475\) | −609.838 | + | 213.391i | −1.28387 | + | 0.449245i | ||||
\(476\) | 213.393 | + | 213.393i | 0.448306 | + | 0.448306i | ||||
\(477\) | 13.4231 | − | 27.8734i | 0.0281407 | − | 0.0584347i | ||||
\(478\) | 7.78553 | + | 69.0985i | 0.0162877 | + | 0.144558i | ||||
\(479\) | −483.953 | + | 54.5284i | −1.01034 | + | 0.113838i | −0.601587 | − | 0.798807i | \(-0.705465\pi\) |
−0.408753 | + | 0.912645i | \(0.634036\pi\) | |||||||
\(480\) | 50.9603 | + | 24.5412i | 0.106167 | + | 0.0511275i | ||||
\(481\) | 358.764 | − | 358.764i | 0.745872 | − | 0.745872i | ||||
\(482\) | −38.0376 | − | 108.705i | −0.0789161 | − | 0.225529i | ||||
\(483\) | 15.9741 | + | 25.4227i | 0.0330727 | + | 0.0526349i | ||||
\(484\) | 127.499 | − | 61.4001i | 0.263427 | − | 0.126860i | ||||
\(485\) | −13.3079 | + | 38.0317i | −0.0274389 | + | 0.0784159i | ||||
\(486\) | 22.6640 | − | 5.17290i | 0.0466337 | − | 0.0106438i | ||||
\(487\) | −72.6889 | + | 91.1490i | −0.149259 | + | 0.187164i | −0.850840 | − | 0.525425i | \(-0.823906\pi\) |
0.701581 | + | 0.712589i | \(0.252478\pi\) | |||||||
\(488\) | 189.757 | + | 237.948i | 0.388847 | + | 0.487598i | ||||
\(489\) | −72.8353 | + | 319.112i | −0.148947 | + | 0.652581i | ||||
\(490\) | 8.87495 | − | 14.1244i | 0.0181121 | − | 0.0288253i | ||||
\(491\) | 75.7150 | − | 671.989i | 0.154206 | − | 1.36861i | −0.643445 | − | 0.765493i | \(-0.722495\pi\) |
0.797650 | − | 0.603120i | \(-0.206076\pi\) | |||||||
\(492\) | 434.214i | 0.882550i | ||||||||
\(493\) | −862.315 | + | 183.159i | −1.74912 | + | 0.371520i | ||||
\(494\) | −116.431 | −0.235691 | ||||||||
\(495\) | −8.91129 | − | 1.00406i | −0.0180026 | − | 0.00202841i | ||||
\(496\) | 257.796 | + | 161.984i | 0.519751 | + | 0.326581i | ||||
\(497\) | −327.384 | − | 74.7233i | −0.658721 | − | 0.150349i | ||||
\(498\) | −136.944 | + | 109.209i | −0.274988 | + | 0.219295i | ||||
\(499\) | −611.573 | − | 487.713i | −1.22560 | − | 0.977381i | −0.999995 | − | 0.00316117i | \(-0.998994\pi\) |
−0.225602 | − | 0.974220i | \(-0.572435\pi\) | |||||||
\(500\) | −39.4967 | − | 173.046i | −0.0789934 | − | 0.346093i | ||||
\(501\) | −804.816 | − | 281.617i | −1.60642 | − | 0.562110i | ||||
\(502\) | −75.7395 | − | 157.275i | −0.150875 | − | 0.313296i | ||||
\(503\) | −418.298 | + | 262.834i | −0.831606 | + | 0.522533i | −0.879266 | − | 0.476331i | \(-0.841967\pi\) |
0.0476598 | + | 0.998864i | \(0.484824\pi\) | |||||||
\(504\) | −8.29164 | + | 2.90137i | −0.0164517 | + | 0.00575669i | ||||
\(505\) | 65.4208 | + | 65.4208i | 0.129546 | + | 0.129546i | ||||
\(506\) | 6.06701 | − | 12.5983i | 0.0119901 | − | 0.0248978i | ||||
\(507\) | 21.5794 | + | 191.522i | 0.0425629 | + | 0.377756i | ||||
\(508\) | 691.569 | − | 77.9211i | 1.36136 | − | 0.153388i | ||||
\(509\) | 658.293 | + | 317.017i | 1.29331 | + | 0.622823i | 0.948775 | − | 0.315952i | \(-0.102324\pi\) |
0.344531 | + | 0.938775i | \(0.388038\pi\) | |||||||
\(510\) | 26.8750 | − | 26.8750i | 0.0526961 | − | 0.0526961i | ||||
\(511\) | −40.7647 | − | 116.499i | −0.0797744 | − | 0.227982i | ||||
\(512\) | 237.068 | + | 377.292i | 0.463023 | + | 0.736898i | ||||
\(513\) | 609.234 | − | 293.392i | 1.18759 | − | 0.571914i | ||||
\(514\) | 1.54018 | − | 4.40157i | 0.00299645 | − | 0.00856337i | ||||
\(515\) | −67.6051 | + | 15.4304i | −0.131272 | + | 0.0299620i | ||||
\(516\) | 187.629 | − | 235.280i | 0.363622 | − | 0.455968i | ||||
\(517\) | −129.627 | − | 162.548i | −0.250730 | − | 0.314406i | ||||
\(518\) | −11.7681 | + | 51.5595i | −0.0227184 | + | 0.0995356i | ||||
\(519\) | 213.001 | − | 338.989i | 0.410407 | − | 0.653158i | ||||
\(520\) | 3.59641 | − | 31.9190i | 0.00691618 | − | 0.0613828i | ||||
\(521\) | 412.503i | 0.791753i | 0.918304 | + | 0.395876i | \(0.129559\pi\) | ||||
−0.918304 | + | 0.395876i | \(0.870441\pi\) | |||||||
\(522\) | 2.97581 | − | 12.1864i | 0.00570079 | − | 0.0233455i | ||||
\(523\) | −54.7428 | −0.104671 | −0.0523354 | − | 0.998630i | \(-0.516666\pi\) | ||||
−0.0523354 | + | 0.998630i | \(0.516666\pi\) | |||||||
\(524\) | 278.301 | + | 31.3570i | 0.531110 | + | 0.0598417i | ||||
\(525\) | 167.810 | + | 105.442i | 0.319638 | + | 0.200842i | ||||
\(526\) | −133.602 | − | 30.4938i | −0.253996 | − | 0.0579730i | ||||
\(527\) | 519.210 | − | 414.056i | 0.985219 | − | 0.785686i | ||||
\(528\) | −316.373 | − | 252.299i | −0.599190 | − | 0.477838i | ||||
\(529\) | 114.745 | + | 502.733i | 0.216910 | + | 0.950346i | ||||
\(530\) | −11.1295 | − | 3.89439i | −0.0209991 | − | 0.00734790i | ||||
\(531\) | 8.20321 | + | 17.0341i | 0.0154486 | + | 0.0320794i | ||||
\(532\) | −225.287 | + | 141.557i | −0.423471 | + | 0.266084i | ||||
\(533\) | 351.720 | − | 123.072i | 0.659887 | − | 0.230904i | ||||
\(534\) | 30.4408 | + | 30.4408i | 0.0570053 | + | 0.0570053i | ||||
\(535\) | 25.1992 | − | 52.3267i | 0.0471013 | − | 0.0978069i | ||||
\(536\) | −20.7051 | − | 183.763i | −0.0386290 | − | 0.342842i | ||||
\(537\) | 889.772 | − | 100.253i | 1.65693 | − | 0.186691i | ||||
\(538\) | 116.458 | + | 56.0832i | 0.216465 | + | 0.104244i | ||||
\(539\) | −273.924 | + | 273.924i | −0.508208 | + | 0.508208i | ||||
\(540\) | 30.1198 | + | 86.0774i | 0.0557774 | + | 0.159403i | ||||
\(541\) | −6.00071 | − | 9.55008i | −0.0110919 | − | 0.0176526i | 0.841132 | − | 0.540829i | \(-0.181890\pi\) |
−0.852224 | + | 0.523177i | \(0.824747\pi\) | |||||||
\(542\) | 7.47680 | − | 3.60064i | 0.0137948 | − | 0.00664324i | ||||
\(543\) | −241.484 | + | 690.121i | −0.444722 | + | 1.27094i | ||||
\(544\) | 560.041 | − | 127.826i | 1.02949 | − | 0.234974i | ||||
\(545\) | 93.3962 | − | 117.115i | 0.171369 | − | 0.214890i | ||||
\(546\) | 22.2679 | + | 27.9230i | 0.0407836 | + | 0.0511410i | ||||
\(547\) | −11.9903 | + | 52.5331i | −0.0219202 | + | 0.0960385i | −0.984705 | − | 0.174232i | \(-0.944256\pi\) |
0.962785 | + | 0.270270i | \(0.0871130\pi\) | |||||||
\(548\) | −402.074 | + | 639.897i | −0.733712 | + | 1.16770i | ||||
\(549\) | 10.7948 | − | 95.8061i | 0.0196626 | − | 0.174510i | ||||
\(550\) | − | 92.2991i | − | 0.167817i | ||||||
\(551\) | 11.7400 | − | 777.134i | 0.0213068 | − | 1.41041i | ||||
\(552\) | 37.8202 | 0.0685148 | ||||||||
\(553\) | 107.261 | + | 12.0854i | 0.193962 | + | 0.0218543i | ||||
\(554\) | −109.399 | − | 68.7398i | −0.197471 | − | 0.124079i | ||||
\(555\) | −142.360 | − | 32.4928i | −0.256505 | − | 0.0585455i | ||||
\(556\) | 184.950 | − | 147.493i | 0.332644 | − | 0.265275i | ||||
\(557\) | 543.971 | + | 433.802i | 0.976608 | + | 0.778819i | 0.975233 | − | 0.221180i | \(-0.0709909\pi\) |
0.00137506 | + | 0.999999i | \(0.499562\pi\) | |||||||
\(558\) | 2.10283 | + | 9.21309i | 0.00376851 | + | 0.0165109i | ||||
\(559\) | −243.761 | − | 85.2955i | −0.436066 | − | 0.152586i | ||||
\(560\) | −14.8265 | − | 30.7876i | −0.0264760 | − | 0.0549779i | ||||
\(561\) | −747.348 | + | 469.590i | −1.33217 | + | 0.837059i | ||||
\(562\) | −120.526 | + | 42.1740i | −0.214460 | + | 0.0750426i | ||||
\(563\) | −319.915 | − | 319.915i | −0.568233 | − | 0.568233i | 0.363400 | − | 0.931633i | \(-0.381616\pi\) |
−0.931633 | + | 0.363400i | \(0.881616\pi\) | |||||||
\(564\) | 119.272 | − | 247.672i | 0.211476 | − | 0.439134i | ||||
\(565\) | 9.25221 | + | 82.1156i | 0.0163756 | + | 0.145337i | ||||
\(566\) | −44.5578 | + | 5.02045i | −0.0787239 | + | 0.00887006i | ||||
\(567\) | −208.671 | − | 100.491i | −0.368027 | − | 0.177232i | ||||
\(568\) | −299.099 | + | 299.099i | −0.526582 | + | 0.526582i | ||||
\(569\) | 173.583 | + | 496.072i | 0.305067 | + | 0.871832i | 0.989727 | + | 0.142969i | \(0.0456650\pi\) |
−0.684660 | + | 0.728863i | \(0.740049\pi\) | |||||||
\(570\) | 17.8278 | + | 28.3728i | 0.0312769 | + | 0.0497769i | ||||
\(571\) | 619.219 | − | 298.200i | 1.08445 | − | 0.522242i | 0.195711 | − | 0.980662i | \(-0.437299\pi\) |
0.888736 | + | 0.458419i | \(0.151584\pi\) | |||||||
\(572\) | −120.438 | + | 344.192i | −0.210556 | + | 0.601735i | ||||
\(573\) | 299.543 | − | 68.3687i | 0.522762 | − | 0.119317i | ||||
\(574\) | −24.2170 | + | 30.3671i | −0.0421898 | + | 0.0529044i | ||||
\(575\) | −54.8946 | − | 68.8357i | −0.0954689 | − | 0.119714i | ||||
\(576\) | 11.0265 | − | 48.3104i | 0.0191433 | − | 0.0838722i | ||||
\(577\) | −30.2263 | + | 48.1049i | −0.0523853 | + | 0.0833707i | −0.871890 | − | 0.489702i | \(-0.837106\pi\) |
0.819505 | + | 0.573072i | \(0.194249\pi\) | |||||||
\(578\) | 29.7019 | − | 263.611i | 0.0513873 | − | 0.456075i | ||||
\(579\) | − | 99.5421i | − | 0.171921i | ||||||
\(580\) | 103.971 | + | 13.3081i | 0.179261 | + | 0.0229449i | ||||
\(581\) | 343.501 | 0.591223 | ||||||||
\(582\) | −56.0780 | − | 6.31847i | −0.0963539 | − | 0.0108565i | ||||
\(583\) | 231.855 | + | 145.684i | 0.397694 | + | 0.249888i | ||||
\(584\) | −151.572 | − | 34.5954i | −0.259542 | − | 0.0592387i | ||||
\(585\) | −7.95547 | + | 6.34428i | −0.0135991 | + | 0.0108449i | ||||
\(586\) | −88.9769 | − | 70.9567i | −0.151838 | − | 0.121087i | ||||
\(587\) | −71.8016 | − | 314.583i | −0.122320 | − | 0.535917i | −0.998541 | − | 0.0540076i | \(-0.982800\pi\) |
0.876221 | − | 0.481910i | \(-0.160057\pi\) | |||||||
\(588\) | −483.462 | − | 169.171i | −0.822214 | − | 0.287705i | ||||
\(589\) | 254.039 | + | 527.518i | 0.431306 | + | 0.895616i | ||||
\(590\) | 6.10142 | − | 3.83378i | 0.0103414 | − | 0.00649793i | ||||
\(591\) | −304.388 | + | 106.510i | −0.515040 | + | 0.180220i | ||||
\(592\) | −480.762 | − | 480.762i | −0.812099 | − | 0.812099i | ||||
\(593\) | 209.288 | − | 434.591i | 0.352931 | − | 0.732869i | −0.646621 | − | 0.762812i | \(-0.723818\pi\) |
0.999552 | + | 0.0299430i | \(0.00953257\pi\) | |||||||
\(594\) | 10.8157 | + | 95.9923i | 0.0182083 | + | 0.161603i | ||||
\(595\) | −74.0666 | + | 8.34530i | −0.124482 | + | 0.0140257i | ||||
\(596\) | 104.843 | + | 50.4899i | 0.175912 | + | 0.0847146i | ||||
\(597\) | 350.521 | − | 350.521i | 0.587137 | − | 0.587137i | ||||
\(598\) | −5.24029 | − | 14.9759i | −0.00876302 | − | 0.0250433i | ||||
\(599\) | 452.046 | + | 719.427i | 0.754668 | + | 1.20105i | 0.974254 | + | 0.225454i | \(0.0723865\pi\) |
−0.219586 | + | 0.975593i | \(0.570471\pi\) | |||||||
\(600\) | 224.921 | − | 108.316i | 0.374868 | − | 0.180527i | ||||
\(601\) | 241.988 | − | 691.562i | 0.402642 | − | 1.15069i | −0.546941 | − | 0.837171i | \(-0.684208\pi\) |
0.949584 | − | 0.313514i | \(-0.101506\pi\) | |||||||
\(602\) | 26.2440 | − | 5.99001i | 0.0435946 | − | 0.00995019i | ||||
\(603\) | −36.5251 | + | 45.8010i | −0.0605722 | + | 0.0759552i | ||||
\(604\) | −337.563 | − | 423.290i | −0.558878 | − | 0.700811i | ||||
\(605\) | −7.77737 | + | 34.0749i | −0.0128552 | + | 0.0563221i | ||||
\(606\) | −68.9402 | + | 109.718i | −0.113763 | + | 0.181052i | ||||
\(607\) | −27.7513 | + | 246.300i | −0.0457188 | + | 0.405766i | 0.949921 | + | 0.312489i | \(0.101163\pi\) |
−0.995640 | + | 0.0932767i | \(0.970266\pi\) | |||||||
\(608\) | 506.460i | 0.832993i | ||||||||
\(609\) | −188.621 | + | 145.814i | −0.309722 | + | 0.239432i | ||||
\(610\) | −36.7461 | −0.0602395 | ||||||||
\(611\) | −234.424 | − | 26.4132i | −0.383672 | − | 0.0432295i | ||||
\(612\) | −101.964 | − | 64.0681i | −0.166607 | − | 0.104686i | ||||
\(613\) | 1.19680 | + | 0.273162i | 0.00195236 | + | 0.000445614i | 0.223497 | − | 0.974705i | \(-0.428253\pi\) |
−0.221545 | + | 0.975150i | \(0.571110\pi\) | |||||||
\(614\) | −62.0765 | + | 49.5043i | −0.101102 | + | 0.0806260i | ||||
\(615\) | −83.8461 | − | 66.8651i | −0.136335 | − | 0.108724i | ||||
\(616\) | −17.3017 | − | 75.8038i | −0.0280872 | − | 0.123058i | ||||
\(617\) | −285.233 | − | 99.8075i | −0.462291 | − | 0.161762i | 0.0890772 | − | 0.996025i | \(-0.471608\pi\) |
−0.551368 | + | 0.834262i | \(0.685894\pi\) | |||||||
\(618\) | −42.1390 | − | 87.5025i | −0.0681861 | − | 0.141590i | ||||
\(619\) | −272.432 | + | 171.181i | −0.440117 | + | 0.276544i | −0.733808 | − | 0.679356i | \(-0.762259\pi\) |
0.293691 | + | 0.955900i | \(0.405116\pi\) | |||||||
\(620\) | −74.5319 | + | 26.0798i | −0.120213 | + | 0.0420642i | ||||
\(621\) | 65.1574 | + | 65.1574i | 0.104923 | + | 0.104923i | ||||
\(622\) | 33.4060 | − | 69.3683i | 0.0537074 | − | 0.111525i | ||||
\(623\) | −9.45256 | − | 83.8938i | −0.0151727 | − | 0.134661i | ||||
\(624\) | −456.267 | + | 51.4090i | −0.731197 | + | 0.0823862i | ||||
\(625\) | −503.501 | − | 242.473i | −0.805601 | − | 0.387957i | ||||
\(626\) | 124.707 | − | 124.707i | 0.199212 | − | 0.199212i | ||||
\(627\) | −257.016 | − | 734.508i | −0.409913 | − | 1.17146i | ||||
\(628\) | −56.3533 | − | 89.6858i | −0.0897346 | − | 0.142812i | ||||
\(629\) | −1336.14 | + | 643.449i | −2.12422 | + | 1.02297i | ||||
\(630\) | 0.350304 | − | 1.00111i | 0.000556039 | − | 0.00158907i | ||||
\(631\) | 680.376 | − | 155.291i | 1.07825 | − | 0.246103i | 0.353723 | − | 0.935350i | \(-0.384916\pi\) |
0.724527 | + | 0.689247i | \(0.242058\pi\) | |||||||
\(632\) | 84.7726 | − | 106.301i | 0.134134 | − | 0.168199i | ||||
\(633\) | −40.1703 | − | 50.3720i | −0.0634603 | − | 0.0795766i | ||||
\(634\) | −37.9298 | + | 166.181i | −0.0598262 | + | 0.262116i | ||||
\(635\) | −91.4488 | + | 145.540i | −0.144014 | + | 0.229197i | ||||
\(636\) | −40.5373 | + | 359.778i | −0.0637378 | + | 0.565689i | ||||
\(637\) | 439.560i | 0.690047i | ||||||||
\(638\) | 104.235 | + | 38.2503i | 0.163378 | + | 0.0599534i | ||||
\(639\) | 133.996 | 0.209697 | ||||||||
\(640\) | −89.7372 | − | 10.1110i | −0.140214 | − | 0.0157984i | ||||
\(641\) | −989.853 | − | 621.966i | −1.54423 | − | 0.970306i | −0.990485 | − | 0.137621i | \(-0.956054\pi\) |
−0.553748 | − | 0.832684i | \(-0.686803\pi\) | |||||||
\(642\) | 79.3031 | + | 18.1004i | 0.123525 | + | 0.0281938i | ||||
\(643\) | −234.086 | + | 186.677i | −0.364052 | + | 0.290322i | −0.788382 | − | 0.615186i | \(-0.789081\pi\) |
0.424330 | + | 0.905508i | \(0.360510\pi\) | |||||||
\(644\) | −28.3473 | − | 22.6062i | −0.0440175 | − | 0.0351028i | ||||
\(645\) | 16.5389 | + | 72.4618i | 0.0256418 | + | 0.112344i | ||||
\(646\) | 321.221 | + | 112.400i | 0.497247 | + | 0.173994i | ||||
\(647\) | 493.455 | + | 1024.67i | 0.762681 | + | 1.58372i | 0.811108 | + | 0.584897i | \(0.198865\pi\) |
−0.0484269 | + | 0.998827i | \(0.515421\pi\) | |||||||
\(648\) | −247.024 | + | 155.215i | −0.381210 | + | 0.239530i | ||||
\(649\) | −157.952 | + | 55.2698i | −0.243377 | + | 0.0851614i | ||||
\(650\) | −74.0552 | − | 74.0552i | −0.113931 | − | 0.113931i | ||||
\(651\) | 77.9256 | − | 161.814i | 0.119701 | − | 0.248563i | ||||
\(652\) | −44.2558 | − | 392.781i | −0.0678770 | − | 0.602425i | ||||
\(653\) | 609.259 | − | 68.6470i | 0.933015 | − | 0.105126i | 0.367648 | − | 0.929965i | \(-0.380163\pi\) |
0.565367 | + | 0.824839i | \(0.308735\pi\) | |||||||
\(654\) | 189.023 | + | 91.0285i | 0.289025 | + | 0.139187i | ||||
\(655\) | −48.9109 | + | 48.9109i | −0.0746731 | + | 0.0746731i | ||||
\(656\) | −164.923 | − | 471.322i | −0.251407 | − | 0.718479i | ||||
\(657\) | 26.2029 | + | 41.7016i | 0.0398826 | + | 0.0634728i | ||||
\(658\) | 22.1545 | − | 10.6691i | 0.0336695 | − | 0.0162144i | ||||
\(659\) | 176.059 | − | 503.147i | 0.267161 | − | 0.763501i | −0.729659 | − | 0.683811i | \(-0.760321\pi\) |
0.996820 | − | 0.0796900i | \(-0.0253931\pi\) | |||||||
\(660\) | 102.317 | − | 23.3531i | 0.155026 | − | 0.0353836i | ||||
\(661\) | 620.208 | − | 777.717i | 0.938288 | − | 1.17658i | −0.0458100 | − | 0.998950i | \(-0.514587\pi\) |
0.984098 | − | 0.177626i | \(-0.0568417\pi\) | |||||||
\(662\) | 19.8808 | + | 24.9297i | 0.0300314 | + | 0.0376581i | ||||
\(663\) | −222.856 | + | 976.397i | −0.336133 | + | 1.47270i | ||||
\(664\) | 230.202 | − | 366.365i | 0.346690 | − | 0.551754i | ||||
\(665\) | 7.35765 | − | 65.3010i | 0.0110641 | − | 0.0981970i | ||||
\(666\) | − | 21.1030i | − | 0.0316861i | ||||||
\(667\) | 100.487 | − | 33.4669i | 0.150655 | − | 0.0501752i | ||||
\(668\) | 1029.67 | 1.54142 | ||||||||
\(669\) | 799.888 | + | 90.1258i | 1.19565 | + | 0.134717i | ||||
\(670\) | 18.9052 | + | 11.8789i | 0.0282168 | + | 0.0177298i | ||||
\(671\) | 831.957 | + | 189.889i | 1.23988 | + | 0.282994i | ||||
\(672\) | 121.461 | − | 96.8621i | 0.180746 | − | 0.144140i | ||||
\(673\) | 314.226 | + | 250.587i | 0.466903 | + | 0.372343i | 0.828498 | − | 0.559992i | \(-0.189196\pi\) |
−0.361594 | + | 0.932336i | \(0.617767\pi\) | |||||||
\(674\) | −28.2876 | − | 123.936i | −0.0419697 | − | 0.183881i | ||||
\(675\) | 574.108 | + | 200.889i | 0.850530 | + | 0.297613i | ||||
\(676\) | −100.984 | − | 209.695i | −0.149384 | − | 0.310199i | ||||
\(677\) | 424.331 | − | 266.625i | 0.626781 | − | 0.393833i | −0.180858 | − | 0.983509i | \(-0.557888\pi\) |
0.807640 | + | 0.589676i | \(0.200745\pi\) | |||||||
\(678\) | −109.241 | + | 38.2252i | −0.161123 | + | 0.0563794i | ||||
\(679\) | 78.2555 | + | 78.2555i | 0.115251 | + | 0.115251i | ||||
\(680\) | −40.7361 | + | 84.5893i | −0.0599060 | + | 0.124396i | ||||
\(681\) | 148.694 | + | 1319.69i | 0.218346 | + | 1.93788i | ||||
\(682\) | −83.1169 | + | 9.36503i | −0.121872 | + | 0.0137317i | ||||
\(683\) | −344.482 | − | 165.894i | −0.504366 | − | 0.242890i | 0.164358 | − | 0.986401i | \(-0.447445\pi\) |
−0.668724 | + | 0.743511i | \(0.733159\pi\) | |||||||
\(684\) | 75.0734 | − | 75.0734i | 0.109756 | − | 0.109756i | ||||
\(685\) | −61.6474 | − | 176.178i | −0.0899963 | − | 0.257195i | ||||
\(686\) | −52.6368 | − | 83.7709i | −0.0767300 | − | 0.122115i | ||||
\(687\) | 753.125 | − | 362.686i | 1.09625 | − | 0.527927i | ||||
\(688\) | −114.300 | + | 326.652i | −0.166134 | + | 0.474784i | ||||
\(689\) | 302.915 | − | 69.1384i | 0.439645 | − | 0.100346i | ||||
\(690\) | −2.84705 | + | 3.57009i | −0.00412616 | + | 0.00517404i | ||||
\(691\) | −495.980 | − | 621.939i | −0.717771 | − | 0.900056i | 0.280439 | − | 0.959872i | \(-0.409520\pi\) |
−0.998209 | + | 0.0598158i | \(0.980949\pi\) | |||||||
\(692\) | −107.580 | + | 471.341i | −0.155463 | + | 0.681129i | ||||
\(693\) | −13.1045 | + | 20.8557i | −0.0189098 | + | 0.0300947i | ||||
\(694\) | 0.175884 | − | 1.56101i | 0.000253435 | − | 0.00224930i | ||||
\(695\) | 58.4262i | 0.0840664i | ||||||||
\(696\) | 29.1125 | + | 298.895i | 0.0418283 | + | 0.429447i | ||||
\(697\) | −1089.17 | −1.56265 | ||||||||
\(698\) | 94.4513 | + | 10.6421i | 0.135317 | + | 0.0152466i | ||||
\(699\) | 625.800 | + | 393.216i | 0.895279 | + | 0.562541i | ||||
\(700\) | −233.328 | − | 53.2556i | −0.333326 | − | 0.0760794i | ||||
\(701\) | −825.456 | + | 658.279i | −1.17754 | + | 0.939057i | −0.998993 | − | 0.0448739i | \(-0.985711\pi\) |
−0.178548 | + | 0.983931i | \(0.557140\pi\) | |||||||
\(702\) | 85.6963 | + | 68.3405i | 0.122074 | + | 0.0973511i | ||||
\(703\) | −290.944 | − | 1274.71i | −0.413860 | − | 1.81324i | ||||
\(704\) | 413.983 | + | 144.859i | 0.588044 | + | 0.205765i | ||||
\(705\) | 29.4582 | + | 61.1705i | 0.0417846 | + | 0.0867667i | ||||
\(706\) | −143.499 | + | 90.1663i | −0.203256 | + | 0.127714i | ||||
\(707\) | 239.856 | − | 83.9294i | 0.339259 | − | 0.118712i | ||||
\(708\) | −156.455 | − | 156.455i | −0.220982 | − | 0.220982i | ||||
\(709\) | 313.200 | − | 650.367i | 0.441749 | − | 0.917301i | −0.554615 | − | 0.832107i | \(-0.687135\pi\) |
0.996364 | − | 0.0851945i | \(-0.0271512\pi\) | |||||||
\(710\) | −5.71810 | − | 50.7495i | −0.00805366 | − | 0.0714782i | ||||
\(711\) | −42.8007 | + | 4.82248i | −0.0601978 | + | 0.00678267i | ||||
\(712\) | −95.8127 | − | 46.1410i | −0.134568 | − | 0.0648048i | ||||
\(713\) | −56.4179 | + | 56.4179i | −0.0791275 | + | 0.0791275i | ||||
\(714\) | −34.4784 | − | 98.5335i | −0.0482890 | − | 0.138002i | ||||
\(715\) | −47.9167 | − | 76.2589i | −0.0670163 | − | 0.106656i | ||||
\(716\) | −974.197 | + | 469.149i | −1.36061 | + | 0.655236i | ||||
\(717\) | −174.169 | + | 497.747i | −0.242914 | + | 0.694207i | ||||
\(718\) | −102.687 | + | 23.4377i | −0.143019 | + | 0.0326431i | ||||
\(719\) | −684.608 | + | 858.472i | −0.952167 | + | 1.19398i | 0.0287562 | + | 0.999586i | \(0.490845\pi\) |
−0.980924 | + | 0.194394i | \(0.937726\pi\) | |||||||
\(720\) | 8.50166 | + | 10.6607i | 0.0118079 | + | 0.0148066i | ||||
\(721\) | −42.3818 | + | 185.687i | −0.0587820 | + | 0.257541i | ||||
\(722\) | −79.4031 | + | 126.369i | −0.109977 | + | 0.175027i | ||||
\(723\) | 97.7898 | − | 867.909i | 0.135256 | − | 1.20043i | ||||
\(724\) | − | 882.929i | − | 1.21952i | ||||||
\(725\) | 501.757 | − | 486.823i | 0.692079 | − | 0.671480i | ||||
\(726\) | −48.9515 | −0.0674263 | ||||||||
\(727\) | 31.1294 | + | 3.50744i | 0.0428190 | + | 0.00482454i | 0.133348 | − | 0.991069i | \(-0.457427\pi\) |
−0.0905290 | + | 0.995894i | \(0.528856\pi\) | |||||||
\(728\) | −74.7022 | − | 46.9385i | −0.102613 | − | 0.0644759i | ||||
\(729\) | −611.212 | − | 139.505i | −0.838425 | − | 0.191365i | ||||
\(730\) | 14.6758 | − | 11.7036i | 0.0201039 | − | 0.0160323i | ||||
\(731\) | 590.167 | + | 470.643i | 0.807342 | + | 0.643834i | ||||
\(732\) | 251.072 | + | 1100.02i | 0.342994 | + | 1.50276i | ||||
\(733\) | 143.446 | + | 50.1941i | 0.195698 | + | 0.0684776i | 0.426348 | − | 0.904559i | \(-0.359800\pi\) |
−0.230651 | + | 0.973037i | \(0.574085\pi\) | |||||||
\(734\) | −84.0234 | − | 174.476i | −0.114473 | − | 0.237706i | ||||
\(735\) | 107.115 | − | 67.3050i | 0.145735 | − | 0.0915715i | ||||
\(736\) | −65.1430 | + | 22.7945i | −0.0885095 | + | 0.0309708i | ||||
\(737\) | −366.642 | − | 366.642i | −0.497479 | − | 0.497479i | ||||
\(738\) | 6.72467 | − | 13.9639i | 0.00911203 | − | 0.0189213i | ||||
\(739\) | 125.579 | + | 1114.55i | 0.169931 | + | 1.50818i | 0.732122 | + | 0.681174i | \(0.238530\pi\) |
−0.562191 | + | 0.827008i | \(0.690041\pi\) | |||||||
\(740\) | 175.225 | − | 19.7431i | 0.236790 | − | 0.0266798i | ||||
\(741\) | −795.538 | − | 383.111i | −1.07360 | − | 0.517019i | ||||
\(742\) | −22.9005 | + | 22.9005i | −0.0308632 | + | 0.0308632i | ||||
\(743\) | −63.5004 | − | 181.474i | −0.0854649 | − | 0.244245i | 0.893217 | − | 0.449625i | \(-0.148442\pi\) |
−0.978682 | + | 0.205381i | \(0.934157\pi\) | |||||||
\(744\) | −120.362 | − | 191.555i | −0.161777 | − | 0.257466i | ||||
\(745\) | −25.8944 | + | 12.4701i | −0.0347576 | + | 0.0167384i | ||||
\(746\) | −34.5965 | + | 98.8710i | −0.0463759 | + | 0.132535i | ||||
\(747\) | −133.631 | + | 30.5004i | −0.178890 | + | 0.0408306i | ||||
\(748\) | 664.552 | − | 833.322i | 0.888439 | − | 1.11407i | ||||
\(749\) | −99.4592 | − | 124.718i | −0.132789 | − | 0.166513i | ||||
\(750\) | −13.6625 | + | 59.8593i | −0.0182167 | + | 0.0798125i | ||||
\(751\) | −192.970 | + | 307.110i | −0.256950 | + | 0.408934i | −0.950141 | − | 0.311820i | \(-0.899061\pi\) |
0.693191 | + | 0.720754i | \(0.256204\pi\) | |||||||
\(752\) | −35.3950 | + | 314.140i | −0.0470679 | + | 0.417739i | ||||
\(753\) | − | 1323.83i | − | 1.75807i | ||||||
\(754\) | 114.322 | − | 52.9422i | 0.151620 | − | 0.0702151i | ||||
\(755\) | 133.718 | 0.177110 | ||||||||
\(756\) | 248.905 | + | 28.0448i | 0.329239 | + | 0.0370964i | ||||
\(757\) | −145.660 | − | 91.5245i | −0.192418 | − | 0.120904i | 0.432377 | − | 0.901693i | \(-0.357675\pi\) |
−0.624796 | + | 0.780788i | \(0.714818\pi\) | |||||||
\(758\) | 199.722 | + | 45.5852i | 0.263485 | + | 0.0601387i | ||||
\(759\) | 82.9079 | − | 66.1169i | 0.109233 | − | 0.0871105i | ||||
\(760\) | −64.7167 | − | 51.6098i | −0.0851536 | − | 0.0679077i | ||||
\(761\) | −64.7556 | − | 283.713i | −0.0850928 | − | 0.372816i | 0.914395 | − | 0.404824i | \(-0.132667\pi\) |
−0.999488 | + | 0.0320077i | \(0.989810\pi\) | |||||||
\(762\) | −227.228 | − | 79.5106i | −0.298200 | − | 0.104345i | ||||
\(763\) | −178.515 | − | 370.691i | −0.233965 | − | 0.485833i | ||||
\(764\) | −314.157 | + | 197.398i | −0.411201 | + | 0.258374i | ||||
\(765\) | 28.0729 | − | 9.82315i | 0.0366966 | − | 0.0128407i | ||||
\(766\) | 65.2418 | + | 65.2418i | 0.0851721 | + | 0.0851721i | ||||
\(767\) | −82.3859 | + | 171.076i | −0.107413 | + | 0.223046i | ||||
\(768\) | 53.7302 | + | 476.869i | 0.0699612 | + | 0.620923i | ||||
\(769\) | −609.620 | + | 68.6876i | −0.792743 | + | 0.0893207i | −0.499043 | − | 0.866577i | \(-0.666315\pi\) |
−0.293700 | + | 0.955898i | \(0.594887\pi\) | |||||||
\(770\) | 8.45805 | + | 4.07318i | 0.0109845 | + | 0.00528985i | ||||
\(771\) | 25.0067 | − | 25.0067i | 0.0324341 | − | 0.0324341i | ||||
\(772\) | 39.7015 | + | 113.460i | 0.0514268 | + | 0.146969i | ||||
\(773\) | −70.0120 | − | 111.423i | −0.0905718 | − | 0.144144i | 0.798365 | − | 0.602173i | \(-0.205698\pi\) |
−0.888937 | + | 0.458029i | \(0.848556\pi\) | |||||||
\(774\) | −9.67775 | + | 4.66056i | −0.0125036 | + | 0.00602140i | ||||
\(775\) | −173.944 | + | 497.103i | −0.224444 | + | 0.641424i | ||||
\(776\) | 135.908 | − | 31.0202i | 0.175140 | − | 0.0399745i | ||||
\(777\) | −250.062 | + | 313.567i | −0.321830 | + | 0.403562i | ||||
\(778\) | −107.347 | − | 134.609i | −0.137978 | − | 0.173019i | ||||
\(779\) | 213.680 | − | 936.192i | 0.274300 | − | 1.20179i | ||||
\(780\) | 63.3557 | − | 100.830i | 0.0812252 | − | 0.129269i | ||||
\(781\) | −132.791 | + | 1178.55i | −0.170027 | + | 1.50903i | ||||
\(782\) | 46.3757i | 0.0593040i | ||||||||
\(783\) | −464.788 | + | 565.099i | −0.593599 | + | 0.721710i | ||||
\(784\) | 589.033 | 0.751318 | ||||||||
\(785\) | 25.9961 | + | 2.92906i | 0.0331160 | + | 0.00373128i | ||||
\(786\) | −82.0288 | − | 51.5421i | −0.104362 | − | 0.0655752i | ||||
\(787\) | −729.969 | − | 166.611i | −0.927534 | − | 0.211704i | −0.268035 | − | 0.963409i | \(-0.586374\pi\) |
−0.659499 | + | 0.751705i | \(0.729232\pi\) | |||||||
\(788\) | 304.468 | − | 242.805i | 0.386381 | − | 0.308128i | ||||
\(789\) | −812.523 | − | 647.966i | −1.02981 | − | 0.821249i | ||||
\(790\) | 3.65291 | + | 16.0045i | 0.00462394 | + | 0.0202588i | ||||
\(791\) | 214.233 | + | 74.9632i | 0.270838 | + | 0.0947702i | ||||
\(792\) | 13.4617 | + | 27.9535i | 0.0169971 | + | 0.0352948i | ||||
\(793\) | 819.867 | − | 515.156i | 1.03388 | − | 0.649630i | ||||
\(794\) | −28.6602 | + | 10.0287i | −0.0360960 | + | 0.0126305i | ||||
\(795\) | −63.2303 | − | 63.2303i | −0.0795349 | − | 0.0795349i | ||||
\(796\) | −259.729 | + | 539.333i | −0.326293 | + | 0.677554i | ||||
\(797\) | −145.956 | − | 1295.40i | −0.183132 | − | 1.62534i | −0.663430 | − | 0.748238i | \(-0.730900\pi\) |
0.480298 | − | 0.877105i | \(-0.340529\pi\) | |||||||
\(798\) | 91.4584 | − | 10.3049i | 0.114610 | − | 0.0129134i | ||||
\(799\) | 621.251 | + | 299.179i | 0.777536 | + | 0.374442i | ||||
\(800\) | −322.130 | + | 322.130i | −0.402662 | + | 0.402662i | ||||
\(801\) | 11.1265 | + | 31.7977i | 0.0138907 | + | 0.0396975i | ||||
\(802\) | 115.585 | + | 183.952i | 0.144121 | + | 0.229367i | ||||
\(803\) | −392.750 | + | 189.139i | −0.489104 | + | 0.235540i | ||||
\(804\) | 226.432 | − | 647.105i | 0.281631 | − | 0.804856i | ||||
\(805\) | 8.73044 | − | 1.99267i | 0.0108453 | − | 0.00247536i | ||||
\(806\) | −59.1740 | + | 74.2019i | −0.0734169 | + | 0.0920619i | ||||
\(807\) | 611.182 | + | 766.398i | 0.757350 | + | 0.949687i | ||||
\(808\) | 71.2275 | − | 312.068i | 0.0881529 | − | 0.386223i | ||||
\(809\) | −471.755 | + | 750.793i | −0.583133 | + | 0.928051i | 0.416686 | + | 0.909050i | \(0.363191\pi\) |
−0.999819 | + | 0.0190007i | \(0.993952\pi\) | |||||||
\(810\) | 3.94384 | − | 35.0026i | 0.00486894 | − | 0.0432130i | ||||
\(811\) | 1145.79i | 1.41281i | 0.707806 | + | 0.706407i | \(0.249685\pi\) | ||||
−0.707806 | + | 0.706407i | \(0.750315\pi\) | |||||||
\(812\) | 156.838 | − | 241.432i | 0.193150 | − | 0.297330i | ||||
\(813\) | 62.9344 | 0.0774100 | ||||||||
\(814\) | 185.610 | + | 20.9132i | 0.228021 | + | 0.0256919i | ||||
\(815\) | 82.6604 | + | 51.9390i | 0.101424 | + | 0.0637288i | ||||
\(816\) | 1308.42 | + | 298.639i | 1.60346 | + | 0.365979i | ||||
\(817\) | −520.322 | + | 414.943i | −0.636869 | + | 0.507886i | ||||
\(818\) | 96.5879 | + | 77.0263i | 0.118078 | + | 0.0941642i | ||||
\(819\) | 6.21907 | + | 27.2475i | 0.00759350 | + | 0.0332693i | ||||
\(820\) | 122.238 | + | 42.7730i | 0.149071 | + | 0.0521622i | ||||
\(821\) | 215.229 | + | 446.927i | 0.262155 | + | 0.544370i | 0.989949 | − | 0.141426i | \(-0.0451687\pi\) |
−0.727794 | + | 0.685795i | \(0.759454\pi\) | |||||||
\(822\) | 221.350 | − | 139.084i | 0.269282 | − | 0.169201i | ||||
\(823\) | 1480.63 | − | 518.096i | 1.79907 | − | 0.629521i | 0.799483 | − | 0.600689i | \(-0.205107\pi\) |
0.999584 | − | 0.0288316i | \(-0.00917867\pi\) | |||||||
\(824\) | 169.644 | + | 169.644i | 0.205878 | + | 0.205878i | ||||
\(825\) | 303.705 | − | 630.651i | 0.368128 | − | 0.764425i | ||||
\(826\) | −2.21601 | − | 19.6676i | −0.00268282 | − | 0.0238107i | ||||
\(827\) | −373.230 | + | 42.0530i | −0.451306 | + | 0.0508500i | −0.334693 | − | 0.942327i | \(-0.608633\pi\) |
−0.116614 | + | 0.993177i | \(0.537204\pi\) | |||||||
\(828\) | 13.0351 | + | 6.27739i | 0.0157429 | + | 0.00758139i | ||||
\(829\) | 12.6142 | − | 12.6142i | 0.0152162 | − | 0.0152162i | −0.699458 | − | 0.714674i | \(-0.746575\pi\) |
0.714674 | + | 0.699458i | \(0.246575\pi\) | |||||||
\(830\) | 17.2542 | + | 49.3097i | 0.0207882 | + | 0.0594093i | ||||
\(831\) | −521.303 | − | 829.649i | −0.627320 | − | 0.998374i | ||||
\(832\) | 448.380 | − | 215.929i | 0.538919 | − | 0.259530i | ||||
\(833\) | 424.342 | − | 1212.70i | 0.509414 | − | 1.45582i | ||||
\(834\) | −79.7781 | + | 18.2088i | −0.0956572 | + | 0.0218331i | ||||
\(835\) | −158.559 | + | 198.827i | −0.189892 | + | 0.238117i | ||||
\(836\) | 585.904 | + | 734.700i | 0.700842 | + | 0.878828i | ||||
\(837\) | 122.653 | − | 537.377i | 0.146539 | − | 0.642028i | ||||
\(838\) | 30.5891 | − | 48.6823i | 0.0365025 | − | 0.0580934i | ||||
\(839\) | 40.7280 | − | 361.471i | 0.0485435 | − | 0.430835i | −0.945810 | − | 0.324720i | \(-0.894730\pi\) |
0.994354 | − | 0.106116i | \(-0.0338413\pi\) | |||||||
\(840\) | 25.3912i | 0.0302276i | ||||||||
\(841\) | 341.842 | + | 768.391i | 0.406470 | + | 0.913664i | ||||
\(842\) | 181.816 | 0.215933 | ||||||||
\(843\) | −962.290 | − | 108.424i | −1.14151 | − | 0.128617i | ||||
\(844\) | 65.8775 | + | 41.3936i | 0.0780539 | + | 0.0490445i | ||||
\(845\) | 56.0423 | + | 12.7913i | 0.0663223 | + | 0.0151376i | ||||
\(846\) | −7.67138 | + | 6.11772i | −0.00906782 | + | 0.00723135i | ||||
\(847\) | 75.0545 | + | 59.8540i | 0.0886122 | + | 0.0706659i | ||||
\(848\) | −92.6490 | − | 405.922i | −0.109256 | − | 0.478681i | ||||
\(849\) | −320.969 | − | 112.312i | −0.378055 | − | 0.132287i | ||||
\(850\) | 132.819 | + | 275.802i | 0.156258 | + | 0.324472i | ||||
\(851\) | 150.864 | − | 94.7939i | 0.177278 | − | 0.111391i | ||||
\(852\) | −1480.15 | + | 517.927i | −1.73727 | + | 0.607896i | ||||
\(853\) | 797.728 | + | 797.728i | 0.935202 | + | 0.935202i | 0.998025 | − | 0.0628224i | \(-0.0200102\pi\) |
−0.0628224 | + | 0.998025i | \(0.520010\pi\) | |||||||
\(854\) | −43.7912 | + | 90.9333i | −0.0512777 | + | 0.106479i | ||||
\(855\) | 2.93594 | + | 26.0572i | 0.00343385 | + | 0.0304762i | ||||
\(856\) | −199.674 | + | 22.4978i | −0.233263 | + | 0.0262825i | ||||
\(857\) | 608.706 | + | 293.137i | 0.710275 | + | 0.342051i | 0.753892 | − | 0.656998i | \(-0.228174\pi\) |
−0.0436173 | + | 0.999048i | \(0.513888\pi\) | |||||||
\(858\) | 89.1944 | − | 89.1944i | 0.103956 | − | 0.103956i | ||||
\(859\) | 296.164 | + | 846.388i | 0.344777 | + | 0.985317i | 0.977499 | + | 0.210938i | \(0.0676519\pi\) |
−0.632722 | + | 0.774379i | \(0.718062\pi\) | |||||||
\(860\) | −47.7522 | − | 75.9972i | −0.0555258 | − | 0.0883688i | ||||
\(861\) | −265.388 | + | 127.804i | −0.308233 | + | 0.148437i | ||||
\(862\) | 23.7811 | − | 67.9624i | 0.0275883 | − | 0.0788427i | ||||
\(863\) | −623.656 | + | 142.345i | −0.722660 | + | 0.164942i | −0.568004 | − | 0.823026i | \(-0.692284\pi\) |
−0.154656 | + | 0.987968i | \(0.549427\pi\) | |||||||
\(864\) | 297.272 | − | 372.767i | 0.344064 | − | 0.431443i | ||||
\(865\) | −74.4488 | − | 93.3558i | −0.0860680 | − | 0.107926i | ||||
\(866\) | 4.61166 | − | 20.2050i | 0.00532525 | − | 0.0233314i | ||||
\(867\) | 1070.34 | − | 1703.44i | 1.23454 | − | 1.96475i | ||||
\(868\) | −24.2832 | + | 215.519i | −0.0279760 | + | 0.248294i | ||||
\(869\) | − | 381.229i | − | 0.438698i | ||||||
\(870\) | −30.4062 | − | 19.7523i | −0.0349496 | − | 0.0227038i | ||||
\(871\) | −588.343 | −0.675480 | ||||||||
\(872\) | −514.999 | − | 58.0265i | −0.590596 | − | 0.0665442i | ||||
\(873\) | −37.3921 | − | 23.4950i | −0.0428317 | − | 0.0269129i | ||||
\(874\) | −39.8621 | − | 9.09827i | −0.0456089 | − | 0.0104099i | ||||
\(875\) | 94.1392 | − | 75.0735i | 0.107588 | − | 0.0857983i | ||||
\(876\) | −450.629 | − | 359.364i | −0.514416 | − | 0.410233i | ||||
\(877\) | 210.603 | + | 922.713i | 0.240140 | + | 1.05212i | 0.940889 | + | 0.338716i | \(0.109992\pi\) |
−0.700748 | + | 0.713409i | \(0.747150\pi\) | |||||||
\(878\) | 76.8673 | + | 26.8970i | 0.0875481 | + | 0.0306344i | ||||
\(879\) | −374.472 | − | 777.599i | −0.426020 | − | 0.884641i | ||||
\(880\) | −102.191 | + | 64.2108i | −0.116126 | + | 0.0729668i | ||||
\(881\) | 609.457 | − | 213.258i | 0.691778 | − | 0.242064i | 0.0385856 | − | 0.999255i | \(-0.487715\pi\) |
0.653193 | + | 0.757192i | \(0.273429\pi\) | |||||||
\(882\) | 12.9277 | + | 12.9277i | 0.0146573 | + | 0.0146573i | ||||
\(883\) | −670.866 | + | 1393.07i | −0.759758 | + | 1.57765i | 0.0554336 | + | 0.998462i | \(0.482346\pi\) |
−0.815192 | + | 0.579191i | \(0.803368\pi\) | |||||||
\(884\) | −135.411 | − | 1201.80i | −0.153180 | − | 1.35951i | ||||
\(885\) | 54.3040 | − | 6.11859i | 0.0613604 | − | 0.00691366i | ||||
\(886\) | −90.9236 | − | 43.7865i | −0.102623 | − | 0.0494204i | ||||
\(887\) | 229.854 | − | 229.854i | 0.259137 | − | 0.259137i | −0.565566 | − | 0.824703i | \(-0.691342\pi\) |
0.824703 | + | 0.565566i | \(0.191342\pi\) | |||||||
\(888\) | 166.856 | + | 476.848i | 0.187901 | + | 0.536991i | ||||
\(889\) | 251.177 | + | 399.746i | 0.282539 | + | 0.449658i | ||||
\(890\) | 11.5682 | − | 5.57095i | 0.0129980 | − | 0.00625949i | ||||
\(891\) | −270.170 | + | 772.102i | −0.303221 | + | 0.866557i | ||||
\(892\) | −947.677 | + | 216.301i | −1.06242 | + | 0.242490i | ||||
\(893\) | −379.039 | + | 475.300i | −0.424456 | + | 0.532251i | ||||
\(894\) | −25.0975 | − | 31.4712i | −0.0280732 | − | 0.0352027i | ||||
\(895\) | 59.4256 | − | 260.361i | 0.0663973 | − | 0.290906i | ||||
\(896\) | −131.963 | + | 210.018i | −0.147280 | + | 0.234395i | ||||
\(897\) | 13.4721 | − | 119.568i | 0.0150191 | − | 0.133298i | ||||
\(898\) | − | 208.393i | − | 0.232063i | ||||||
\(899\) | −489.303 | − | 402.446i | −0.544274 | − | 0.447660i | ||||
\(900\) | 95.4997 | 0.106111 | ||||||||
\(901\) | −902.455 | − | 101.682i | −1.00162 | − | 0.112855i | ||||
\(902\) | 116.154 | + | 72.9847i | 0.128774 | + | 0.0809143i | ||||
\(903\) | 199.027 | + | 45.4265i | 0.220406 | + | 0.0503062i | ||||
\(904\) | 223.524 | − | 178.255i | 0.247261 | − | 0.197184i | ||||
\(905\) | 170.492 | + | 135.963i | 0.188389 | + | 0.150235i | ||||
\(906\) | 41.6740 | + | 182.586i | 0.0459978 | + | 0.201530i | ||||
\(907\) | 418.178 | + | 146.327i | 0.461056 | + | 0.161331i | 0.550805 | − | 0.834634i | \(-0.314321\pi\) |
−0.0897489 | + | 0.995964i | \(0.528606\pi\) | |||||||
\(908\) | −695.833 | − | 1444.91i | −0.766336 | − | 1.59131i | ||||
\(909\) | −85.8584 | + | 53.9484i | −0.0944536 | + | 0.0593492i | ||||
\(910\) | 10.0543 | − | 3.51815i | 0.0110487 | − | 0.00386610i | ||||
\(911\) | 76.1750 | + | 76.1750i | 0.0836169 | + | 0.0836169i | 0.747678 | − | 0.664061i | \(-0.231169\pi\) |
−0.664061 | + | 0.747678i | \(0.731169\pi\) | |||||||
\(912\) | −513.388 | + | 1066.06i | −0.562926 | + | 1.16893i | ||||
\(913\) | −135.835 | − | 1205.57i | −0.148779 | − | 1.32045i | ||||
\(914\) | 87.1379 | − | 9.81808i | 0.0953369 | − | 0.0107419i | ||||
\(915\) | −251.074 | − | 120.911i | −0.274398 | − | 0.132143i | ||||
\(916\) | −713.774 | + | 713.774i | −0.779230 | + | 0.779230i | ||||
\(917\) | 62.7485 | + | 179.325i | 0.0684281 | + | 0.195556i | ||||
\(918\) | −170.452 | − | 271.274i | −0.185678 | − | 0.295505i | ||||
\(919\) | 265.995 | − | 128.097i | 0.289440 | − | 0.139387i | −0.283530 | − | 0.958963i | \(-0.591506\pi\) |
0.572970 | + | 0.819577i | \(0.305791\pi\) | |||||||
\(920\) | 3.72554 | − | 10.6470i | 0.00404950 | − | 0.0115728i | ||||
\(921\) | −587.041 | + | 133.988i | −0.637395 | + | 0.145481i | ||||
\(922\) | −63.3808 | + | 79.4770i | −0.0687427 | + | 0.0862007i | ||||
\(923\) | 839.056 | + | 1052.14i | 0.909054 | + | 1.13992i | ||||
\(924\) | 64.1427 | − | 281.028i | 0.0694185 | − | 0.304143i | ||||
\(925\) | 625.715 | − | 995.820i | 0.676449 | − | 1.07656i | ||||
\(926\) | −33.2101 | + | 294.748i | −0.0358641 | + | 0.318302i | ||||
\(927\) | − | 76.0006i | − | 0.0819855i | ||||||
\(928\) | −230.291 | − | 497.283i | −0.248159 | − | 0.535865i | ||||
\(929\) | −1710.91 | −1.84167 | −0.920834 | − | 0.389954i | \(-0.872491\pi\) | ||||
−0.920834 | + | 0.389954i | \(0.872491\pi\) | |||||||
\(930\) | 27.1428 | + | 3.05825i | 0.0291858 | + | 0.00328845i | ||||
\(931\) | 959.123 | + | 602.657i | 1.03021 | + | 0.647322i | ||||
\(932\) | −870.131 | − | 198.602i | −0.933617 | − | 0.213092i | ||||
\(933\) | 456.506 | − | 364.051i | 0.489288 | − | 0.390194i | ||||
\(934\) | −260.753 | − | 207.944i | −0.279179 | − | 0.222638i | ||||
\(935\) | 58.5782 | + | 256.648i | 0.0626505 | + | 0.274490i | ||||
\(936\) | 33.2290 | + | 11.6273i | 0.0355011 | + | 0.0124224i | ||||
\(937\) | −276.504 | − | 574.166i | −0.295095 | − | 0.612770i | 0.699727 | − | 0.714411i | \(-0.253305\pi\) |
−0.994821 | + | 0.101641i | \(0.967591\pi\) | |||||||
\(938\) | 51.9259 | − | 32.6272i | 0.0553581 | − | 0.0347838i | ||||
\(939\) | 1262.42 | − | 441.741i | 1.34443 | − | 0.470437i | ||||
\(940\) | −57.9744 | − | 57.9744i | −0.0616749 | − | 0.0616749i | ||||
\(941\) | 287.782 | − | 597.585i | 0.305825 | − | 0.635053i | −0.690249 | − | 0.723572i | \(-0.742499\pi\) |
0.996074 | + | 0.0885189i | \(0.0282134\pi\) | |||||||
\(942\) | 4.10234 | + | 36.4093i | 0.00435493 | + | 0.0386510i | ||||
\(943\) | 130.034 | − | 14.6513i | 0.137894 | − | 0.0155369i | ||||
\(944\) | 229.251 | + | 110.401i | 0.242850 | + | 0.116951i | ||||
\(945\) | −43.7445 | + | 43.7445i | −0.0462905 | + | 0.0462905i | ||||
\(946\) | −31.4009 | − | 89.7385i | −0.0331933 | − | 0.0948610i | ||||
\(947\) | 147.849 | + | 235.300i | 0.156123 | + | 0.248468i | 0.915622 | − | 0.402040i | \(-0.131699\pi\) |
−0.759499 | + | 0.650508i | \(0.774556\pi\) | |||||||
\(948\) | 454.145 | − | 218.705i | 0.479056 | − | 0.230701i | ||||
\(949\) | −163.366 | + | 466.872i | −0.172145 | + | 0.491962i | ||||
\(950\) | −263.122 | + | 60.0558i | −0.276970 | + | 0.0632167i | ||||
\(951\) | −805.975 | + | 1010.66i | −0.847502 | + | 1.06273i | ||||
\(952\) | 160.782 | + | 201.614i | 0.168889 | + | 0.211780i | ||||
\(953\) | 82.1839 | − | 360.071i | 0.0862370 | − | 0.377829i | −0.913331 | − | 0.407218i | \(-0.866499\pi\) |
0.999568 | + | 0.0293889i | \(0.00935612\pi\) | |||||||
\(954\) | 6.87552 | − | 10.9423i | 0.00720705 | − | 0.0114700i | ||||
\(955\) | 10.2601 | − | 91.0608i | 0.0107435 | − | 0.0953516i | ||||
\(956\) | − | 636.808i | − | 0.666117i | ||||||
\(957\) | 586.345 | + | 604.333i | 0.612691 | + | 0.631486i | ||||
\(958\) | −203.438 | −0.212356 | ||||||||
\(959\) | −509.444 | − | 57.4006i | −0.531224 | − | 0.0598546i | ||||
\(960\) | −121.275 | − | 76.2020i | −0.126328 | − | 0.0793770i | ||||
\(961\) | −471.607 | − | 107.641i | −0.490746 | − | 0.112009i | ||||
\(962\) | 165.701 | − | 132.142i | 0.172247 | − | 0.137362i | ||||
\(963\) | 49.7664 | + | 39.6874i | 0.0516786 | + | 0.0412123i | ||||
\(964\) | 234.695 | + | 1028.26i | 0.243459 | + | 1.06666i | ||||
\(965\) | −28.0227 | − | 9.80556i | −0.0290390 | − | 0.0101612i | ||||
\(966\) | 5.44178 | + | 11.3000i | 0.00563331 | + | 0.0116977i | ||||
\(967\) | 1069.74 | − | 672.164i | 1.10625 | − | 0.695102i | 0.150301 | − | 0.988640i | \(-0.451976\pi\) |
0.955947 | + | 0.293538i | \(0.0948329\pi\) | |||||||
\(968\) | 114.137 | − | 39.9382i | 0.117910 | − | 0.0412585i | ||||
\(969\) | 1824.96 | + | 1824.96i | 1.88334 | + | 1.88334i | ||||
\(970\) | −7.30280 | + | 15.1644i | −0.00752866 | + | 0.0156334i | ||||
\(971\) | 47.2445 | + | 419.307i | 0.0486555 | + | 0.431830i | 0.994299 | + | 0.106625i | \(0.0340045\pi\) |
−0.945644 | + | 0.325204i | \(0.894567\pi\) | |||||||
\(972\) | −211.556 | + | 23.8366i | −0.217650 | + | 0.0245233i | ||||
\(973\) | 144.584 | + | 69.6278i | 0.148596 | + | 0.0715599i | ||||
\(974\) | −34.4360 | + | 34.4360i | −0.0353552 | + | 0.0353552i | ||||
\(975\) | −262.321 | − | 749.671i | −0.269047 | − | 0.768893i | ||||
\(976\) | −690.336 | − | 1098.66i | −0.707311 | − | 1.12568i | ||||
\(977\) | 1121.97 | − | 540.311i | 1.14838 | − | 0.553031i | 0.239833 | − | 0.970814i | \(-0.422907\pi\) |
0.908547 | + | 0.417784i | \(0.137193\pi\) | |||||||
\(978\) | −45.1586 | + | 129.056i | −0.0461744 | + | 0.131959i | ||||
\(979\) | −290.700 | + | 66.3505i | −0.296936 | + | 0.0677737i | ||||
\(980\) | −95.2484 | + | 119.438i | −0.0971923 | + | 0.121875i | ||||
\(981\) | 102.362 | + | 128.358i | 0.104345 | + | 0.130844i | ||||
\(982\) | 62.8580 | − | 275.399i | 0.0640102 | − | 0.280447i | ||||
\(983\) | −293.062 | + | 466.406i | −0.298131 | + | 0.474472i | −0.961876 | − | 0.273487i | \(-0.911823\pi\) |
0.663745 | + | 0.747959i | \(0.268966\pi\) | |||||||
\(984\) | −41.5429 | + | 368.703i | −0.0422183 | + | 0.374698i | ||||
\(985\) | 96.1821i | 0.0976468i | ||||||||
\(986\) | −366.510 | + | 35.6982i | −0.371714 | + | 0.0362051i | ||||
\(987\) | 186.481 | 0.188937 | ||||||||
\(988\) | 1059.57 | + | 119.385i | 1.07244 | + | 0.120835i | ||||
\(989\) | −76.7902 | − | 48.2505i | −0.0776443 | − | 0.0487871i | ||||
\(990\) | −3.65208 | − | 0.833564i | −0.00368897 | − | 0.000841984i | ||||
\(991\) | 258.790 | − | 206.378i | 0.261140 | − | 0.208252i | −0.484164 | − | 0.874977i | \(-0.660876\pi\) |
0.745303 | + | 0.666725i | \(0.232305\pi\) | |||||||
\(992\) | 322.768 | + | 257.399i | 0.325371 | + | 0.259475i | ||||
\(993\) | 53.8092 | + | 235.753i | 0.0541885 | + | 0.237415i | ||||
\(994\) | −132.401 | − | 46.3292i | −0.133200 | − | 0.0466088i | ||||
\(995\) | −64.1485 | − | 133.206i | −0.0644709 | − | 0.133875i | ||||
\(996\) | 1358.23 | − | 853.430i | 1.36368 | − | 0.856857i | ||||
\(997\) | −1064.53 | + | 372.496i | −1.06773 | + | 0.373616i | −0.806240 | − | 0.591589i | \(-0.798501\pi\) |
−0.261494 | + | 0.965205i | \(0.584215\pi\) | |||||||
\(998\) | −231.051 | − | 231.051i | −0.231514 | − | 0.231514i | ||||
\(999\) | −534.061 | + | 1108.99i | −0.534596 | + | 1.11010i |
(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 | 29.3.f.a.2.3 | ✓ | 48 | |
3.2 | odd | 2 | 261.3.s.a.118.2 | 48 | |||
29.15 | odd | 28 | inner | 29.3.f.a.15.3 | yes | 48 | |
87.44 | even | 28 | 261.3.s.a.73.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.2.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
29.3.f.a.15.3 | yes | 48 | 29.15 | odd | 28 | inner | |
261.3.s.a.73.2 | 48 | 87.44 | even | 28 | |||
261.3.s.a.118.2 | 48 | 3.2 | odd | 2 |