Newspace parameters
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), minimal) |
Newform invariants
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 | 15.3 | ||
Character | \(\chi\) | \(=\) | 29.15 |
Dual form | 29.3.f.a.2.3 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{27}{28}\right)\) |
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 | −0.00757815 | − | 0.999971i | \(-0.502412\pi\) |
0.215126 | + | 0.976586i | \(0.430984\pi\) | |||||||
\(3\) | 2.68233 | − | 1.68542i | 0.894110 | − | 0.561807i | −0.00477622 | − | 0.999989i | \(-0.501520\pi\) |
0.898886 | + | 0.438182i | \(0.144377\pi\) | |||||||
\(4\) | −3.72959 | + | 0.851255i | −0.932398 | + | 0.212814i | ||||
\(5\) | 0.738700 | + | 0.589093i | 0.147740 | + | 0.117819i | 0.694571 | − | 0.719425i | \(-0.255594\pi\) |
−0.546831 | + | 0.837243i | \(0.684166\pi\) | |||||||
\(6\) | 1.03460 | − | 0.825065i | 0.172433 | − | 0.137511i | ||||
\(7\) | −0.577468 | + | 2.53005i | −0.0824954 | + | 0.361436i | −0.999280 | − | 0.0379466i | \(-0.987918\pi\) |
0.916784 | + | 0.399383i | \(0.130775\pi\) | |||||||
\(8\) | −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 | −0.0929879 | − | 0.995667i | \(-0.529642\pi\) |
−0.693489 | + | 0.720467i | \(0.743928\pi\) | |||||||
\(12\) | −8.56928 | + | 8.56928i | −0.714107 | + | 0.714107i | ||||
\(13\) | −4.51239 | − | 9.37008i | −0.347107 | − | 0.720775i | 0.652198 | − | 0.758049i | \(-0.273847\pi\) |
−0.999305 | + | 0.0372733i | \(0.988133\pi\) | |||||||
\(14\) | −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 | 0.948936 | + | 0.315469i | \(0.102162\pi\) |
0.315469 | + | 0.948936i | \(0.397838\pi\) | |||||||
\(18\) | 0.142868 | − | 0.408292i | 0.00793709 | − | 0.0226829i | ||||
\(19\) | 14.2589 | − | 22.6929i | 0.750467 | − | 1.19436i | −0.225030 | − | 0.974352i | \(-0.572248\pi\) |
0.975498 | − | 0.220010i | \(-0.0706090\pi\) | |||||||
\(20\) | −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 | 0.729861 | − | 0.683595i | \(-0.239585\pi\) |
−0.828866 | + | 0.559448i | \(0.811013\pi\) | |||||||
\(24\) | −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 | 0.245362 | − | 0.969431i | \(-0.421093\pi\) |
0.454929 | + | 0.890528i | \(0.349665\pi\) | |||||||
\(32\) | 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 | −0.870608 | − | 0.491976i | \(-0.836275\pi\) |
−0.373927 | + | 0.927458i | \(0.621989\pi\) | |||||||
\(38\) | 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 | −0.945003 | − | 0.327063i | \(-0.893941\pi\) |
0.327063 | + | 0.945003i | \(0.393941\pi\) | |||||||
\(42\) | 1.49001 | + | 3.09404i | 0.0354764 | + | 0.0736675i | ||||
\(43\) | 2.78030 | − | 24.6759i | 0.0646582 | − | 0.573857i | −0.919057 | − | 0.394124i | \(-0.871048\pi\) |
0.983715 | − | 0.179733i | \(-0.0575234\pi\) | |||||||
\(44\) | 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 | −0.836289 | − | 0.548289i | \(-0.815279\pi\) |
0.995690 | + | 0.0927479i | \(0.0295651\pi\) | |||||||
\(48\) | 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 | −0.925863 | − | 0.377859i | \(-0.876660\pi\) |
0.574409 | + | 0.818568i | \(0.305232\pi\) | |||||||
\(54\) | 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 | −0.989987 | − | 0.141156i | \(-0.954918\pi\) |
−0.302362 | + | 0.953193i | \(0.597775\pi\) | |||||||
\(62\) | 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 | −0.633567 | − | 0.773688i | \(-0.718410\pi\) |
0.999916 | + | 0.0129558i | \(0.00412406\pi\) | |||||||
\(68\) | −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 | 0.766436 | + | 0.642321i | \(0.222028\pi\) |
0.0243218 | + | 0.999704i | \(0.492257\pi\) | |||||||
\(72\) | −0.379006 | + | 3.36377i | −0.00526397 | + | 0.0467190i | ||||
\(73\) | 47.2614 | + | 5.32509i | 0.647417 | + | 0.0729464i | 0.429566 | − | 0.903036i | \(-0.358667\pi\) |
0.217851 | + | 0.975982i | \(0.430095\pi\) | |||||||
\(74\) | −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 | 0.823644 | − | 0.567107i | \(-0.191937\pi\) |
−0.997536 | + | 0.0701522i | \(0.977652\pi\) | |||||||
\(80\) | 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 | −0.765786 | − | 0.643095i | \(-0.777650\pi\) |
0.410921 | − | 0.911671i | \(-0.365207\pi\) | |||||||
\(84\) | −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 | 0.0715370 | − | 0.997438i | \(-0.477210\pi\) |
0.291694 | + | 0.956512i | \(0.405781\pi\) | |||||||
\(90\) | 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 | 0.332890 | − | 0.942966i | \(-0.391976\pi\) |
−0.705147 | + | 0.709061i | \(0.749119\pi\) | |||||||
\(98\) | 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 | −0.814873 | − | 0.579639i | \(-0.803194\pi\) |
0.923425 | − | 0.383780i | \(-0.125378\pi\) | |||||||
\(102\) | 39.9733 | + | 4.50390i | 0.391895 | + | 0.0441559i | ||||
\(103\) | −66.1244 | + | 31.8438i | −0.641985 | + | 0.309164i | −0.726405 | − | 0.687267i | \(-0.758810\pi\) |
0.0844205 | + | 0.996430i | \(0.473096\pi\) | |||||||
\(104\) | 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 | 0.674394 | − | 0.738372i | \(-0.264405\pi\) |
−0.156805 | + | 0.987630i | \(0.550119\pi\) | |||||||
\(108\) | −31.8784 | − | 91.1033i | −0.295171 | − | 0.843549i | ||||
\(109\) | 154.567 | + | 35.2790i | 1.41805 | + | 0.323660i | 0.861755 | − | 0.507325i | \(-0.169366\pi\) |
0.556294 | + | 0.830985i | \(0.312223\pi\) | |||||||
\(110\) | −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 | 0.574858 | − | 0.818253i | \(-0.305057\pi\) |
−0.986642 | + | 0.162902i | \(0.947914\pi\) | |||||||
\(114\) | −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 | −0.445546 | − | 0.895259i | \(-0.646990\pi\) |
−0.906527 | + | 0.422148i | \(0.861276\pi\) | |||||||
\(128\) | −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 | −0.170163 | − | 0.985416i | \(-0.554429\pi\) |
−0.385172 | + | 0.922845i | \(0.625858\pi\) | |||||||
\(132\) | 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 | 0.892188 | + | 0.451664i | \(0.149169\pi\) |
−0.415933 | + | 0.909395i | \(0.636545\pi\) | |||||||
\(138\) | −4.71176 | − | 1.07543i | −0.0341432 | − | 0.00779296i | ||||
\(139\) | −38.5551 | − | 48.3466i | −0.277375 | − | 0.347817i | 0.623557 | − | 0.781778i | \(-0.285687\pi\) |
−0.900932 | + | 0.433961i | \(0.857116\pi\) | |||||||
\(140\) | 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 | −0.320876 | − | 0.947121i | \(-0.603977\pi\) |
0.121841 | + | 0.992550i | \(0.461120\pi\) | |||||||
\(150\) | −24.9414 | − | 19.8901i | −0.166276 | − | 0.132601i | ||||
\(151\) | 110.649 | − | 88.2399i | 0.732777 | − | 0.584370i | −0.184399 | − | 0.982851i | \(-0.559034\pi\) |
0.917177 | + | 0.398481i | \(0.130463\pi\) | |||||||
\(152\) | −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 | −0.642001 | − | 0.766704i | \(-0.721895\pi\) |
0.766704 | + | 0.642001i | \(0.221895\pi\) | |||||||
\(158\) | −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 | −0.790541 | − | 0.612410i | \(-0.790200\pi\) |
0.999901 | + | 0.0140927i | \(0.00448600\pi\) | |||||||
\(164\) | 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 | −0.653904 | − | 0.756577i | \(-0.726870\pi\) |
−0.917414 | + | 0.397934i | \(0.869727\pi\) | |||||||
\(168\) | −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 | \(0.119019\pi\) | ||||
−0.930907 | + | 0.365256i | \(0.880981\pi\) | |||||||
\(174\) | −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 | 0.999923 | + | 0.0124338i | \(0.00395789\pi\) |
0.234626 | + | 0.972086i | \(0.424614\pi\) | |||||||
\(180\) | −2.92632 | + | 2.33366i | −0.0162573 | + | 0.0129648i | ||||
\(181\) | 51.3580 | − | 225.014i | 0.283746 | − | 1.24317i | −0.609204 | − | 0.793014i | \(-0.708511\pi\) |
0.892949 | − | 0.450157i | \(-0.148632\pi\) | |||||||
\(182\) | 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 | 0.863467 | − | 0.504406i | \(-0.168289\pi\) |
−0.504406 | + | 0.863467i | \(0.668289\pi\) | |||||||
\(192\) | −50.0674 | + | 143.084i | −0.260767 | + | 0.745231i | ||||
\(193\) | −16.7176 | + | 26.6059i | −0.0866198 | + | 0.137855i | −0.887224 | − | 0.461339i | \(-0.847369\pi\) |
0.800604 | + | 0.599194i | \(0.204512\pi\) | |||||||
\(194\) | −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 | 0.594194 | − | 0.804322i | \(-0.297471\pi\) |
−0.916377 | + | 0.400317i | \(0.868900\pi\) | |||||||
\(198\) | −2.47197 | + | 3.09975i | −0.0124847 | + | 0.0156553i | ||||
\(199\) | 34.8200 | + | 152.557i | 0.174975 | + | 0.766616i | 0.983902 | + | 0.178707i | \(0.0571915\pi\) |
−0.808927 | + | 0.587909i | \(0.799951\pi\) | |||||||
\(200\) | 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 | −0.375385 | − | 0.926869i | \(-0.622489\pi\) |
0.284406 | + | 0.958704i | \(0.408204\pi\) | |||||||
\(212\) | 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 | 0.869884 | − | 0.493256i | \(-0.164193\pi\) |
0.156721 | + | 0.987643i | \(0.449908\pi\) | |||||||
\(224\) | 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 | 0.275617 | − | 0.961268i | \(-0.411118\pi\) |
0.875836 | − | 0.482609i | \(-0.160311\pi\) | |||||||
\(228\) | 72.2733 | + | 316.650i | 0.316988 | + | 1.38882i | ||||
\(229\) | 140.386 | + | 223.424i | 0.613041 | + | 0.975649i | 0.998596 | + | 0.0529641i | \(0.0168669\pi\) |
−0.385556 | + | 0.922685i | \(0.625990\pi\) | |||||||
\(230\) | −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 | −0.836406 | − | 0.548111i | \(-0.815347\pi\) |
0.991392 | − | 0.130928i | \(-0.0417956\pi\) | |||||||
\(240\) | 39.3730 | − | 13.7772i | 0.164054 | − | 0.0574050i | ||||
\(241\) | −119.624 | + | 248.401i | −0.496363 | + | 1.03071i | 0.490841 | + | 0.871249i | \(0.336689\pi\) |
−0.987204 | + | 0.159460i | \(0.949025\pi\) | |||||||
\(242\) | −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 | 0.0262849 | + | 0.999654i | \(0.491632\pi\) |
−0.912062 | + | 0.410052i | \(0.865511\pi\) | |||||||
\(252\) | −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 | 0.979531 | − | 0.201294i | \(-0.0645147\pi\) |
−0.969865 | + | 0.243643i | \(0.921658\pi\) | |||||||
\(258\) | −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 | −0.707285 | − | 0.706928i | \(-0.750080\pi\) |
−0.532246 | + | 0.846590i | \(0.678652\pi\) | |||||||
\(264\) | 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 | 0.272702 | − | 0.962099i | \(-0.412083\pi\) |
0.813066 | + | 0.582172i | \(0.197797\pi\) | |||||||
\(270\) | −4.32059 | + | 8.97181i | −0.0160022 | + | 0.0332289i | ||||
\(271\) | 16.8213 | + | 10.5695i | 0.0620712 | + | 0.0390019i | 0.562710 | − | 0.826654i | \(-0.309759\pi\) |
−0.500639 | + | 0.865656i | \(0.666902\pi\) | |||||||
\(272\) | 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 | −0.862981 | − | 0.505236i | \(-0.831406\pi\) |
−0.143051 | + | 0.989715i | \(0.545691\pi\) | |||||||
\(278\) | −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 | −0.125972 | − | 0.992034i | \(-0.540205\pi\) |
−0.854146 | + | 0.520034i | \(0.825919\pi\) | |||||||
\(282\) | −9.91396 | − | 28.3325i | −0.0351559 | − | 0.100470i | ||||
\(283\) | −104.652 | − | 23.8861i | −0.369794 | − | 0.0844032i | 0.0335853 | − | 0.999436i | \(-0.489307\pi\) |
−0.403380 | + | 0.915033i | \(0.632165\pi\) | |||||||
\(284\) | −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 | −0.864695 | − | 0.502297i | \(-0.832488\pi\) |
0.0773772 | + | 0.997002i | \(0.475345\pi\) | |||||||
\(294\) | 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 | 0.453473 | − | 0.891270i | \(-0.350185\pi\) |
−0.891270 | + | 0.453473i | \(0.850185\pi\) | |||||||
\(308\) | −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 | 0.999361 | − | 0.0357461i | \(-0.0113808\pi\) |
−0.803619 | + | 0.595144i | \(0.797095\pi\) | |||||||
\(312\) | 104.997 | + | 23.9649i | 0.336529 | + | 0.0768106i | ||||
\(313\) | 263.236 | + | 330.088i | 0.841010 | + | 1.05459i | 0.997756 | + | 0.0669540i | \(0.0213281\pi\) |
−0.156746 | + | 0.987639i | \(0.550101\pi\) | |||||||
\(314\) | 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 | −0.832592 | − | 0.553886i | \(-0.813144\pi\) |
0.688466 | − | 0.725268i | \(-0.258284\pi\) | |||||||
\(318\) | 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 | −0.620856 | − | 0.783925i | \(-0.713215\pi\) |
0.783925 | + | 0.620856i | \(0.213215\pi\) | |||||||
\(332\) | 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 | 0.693063 | + | 0.720877i | \(0.256261\pi\) |
−0.991318 | + | 0.131486i | \(0.958025\pi\) | |||||||
\(338\) | 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 | \(0.00172484\pi\) | ||||
−0.999985 | + | 0.00541873i | \(0.998275\pi\) | |||||||
\(348\) | 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 | 0.0609682 | − | 0.998140i | \(-0.480581\pi\) |
−0.959548 | + | 0.281547i | \(0.909153\pi\) | |||||||
\(354\) | 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 | −0.0222319 | − | 0.999753i | \(-0.507077\pi\) |
−0.640717 | + | 0.767777i | \(0.721363\pi\) | |||||||
\(360\) | −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 | 0.320429 | + | 0.947273i | \(0.396173\pi\) |
−0.992492 | + | 0.122310i | \(0.960970\pi\) | |||||||
\(368\) | −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 | −0.992997 | − | 0.118142i | \(-0.962306\pi\) |
0.843399 | − | 0.537287i | \(-0.180551\pi\) | |||||||
\(374\) | −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 | 0.557545 | − | 0.830147i | \(-0.311743\pi\) |
0.728291 | + | 0.685268i | \(0.240315\pi\) | |||||||
\(380\) | −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 | −0.371564 | − | 0.928407i | \(-0.621178\pi\) |
0.822450 | + | 0.568838i | \(0.192607\pi\) | |||||||
\(384\) | −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 | −0.974332 | − | 0.225115i | \(-0.927724\pi\) |
0.225115 | + | 0.974332i | \(0.427724\pi\) | |||||||
\(390\) | −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 | 0.349579 | − | 0.936907i | \(-0.386325\pi\) |
−0.514544 | + | 0.857464i | \(0.672039\pi\) | |||||||
\(398\) | 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 | −0.190826 | − | 0.981624i | \(-0.561117\pi\) |
0.999475 | − | 0.0323898i | \(-0.0103118\pi\) | |||||||
\(402\) | −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 | −0.189909 | − | 0.981802i | \(-0.560819\pi\) |
0.802174 | + | 0.597090i | \(0.203676\pi\) | |||||||
\(410\) | −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 | 0.959997 | − | 0.280010i | \(-0.0903379\pi\) |
−0.817469 | + | 0.575972i | \(0.804624\pi\) | |||||||
\(420\) | 3.32699 | − | 29.5278i | 0.00792140 | − | 0.0703044i | ||||
\(421\) | 432.517 | + | 48.7330i | 1.02736 | + | 0.115755i | 0.609523 | − | 0.792768i | \(-0.291361\pi\) |
0.417833 | + | 0.908524i | \(0.362790\pi\) | |||||||
\(422\) | −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 | 0.999734 | − | 0.0230748i | \(-0.00734557\pi\) |
−0.910741 | + | 0.412979i | \(0.864488\pi\) | |||||||
\(432\) | 187.077 | + | 297.731i | 0.433048 | + | 0.689192i | ||||
\(433\) | 5.55493 | + | 49.3014i | 0.0128289 | + | 0.113860i | 0.998495 | − | 0.0548506i | \(-0.0174682\pi\) |
−0.985666 | + | 0.168711i | \(0.946040\pi\) | |||||||
\(434\) | 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 | −0.000488576 | − | 1.00000i | \(-0.500156\pi\) |
0.433443 | + | 0.901181i | \(0.357298\pi\) | |||||||
\(440\) | 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 | −0.575137 | − | 0.818057i | \(-0.695051\pi\) |
0.0603905 | + | 0.998175i | \(0.480765\pi\) | |||||||
\(444\) | 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 | 0.764059 | + | 0.645147i | \(0.223204\pi\) |
−0.888461 | + | 0.458952i | \(0.848225\pi\) | |||||||
\(450\) | −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 | 0.440488 | − | 0.897759i | \(-0.354805\pi\) |
0.00734312 | + | 0.999973i | \(0.497663\pi\) | |||||||
\(458\) | 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 | 0.676272 | − | 0.736652i | \(-0.263594\pi\) |
−0.957124 | + | 0.289679i | \(0.906451\pi\) | |||||||
\(462\) | −3.52417 | − | 31.2778i | −0.00762806 | − | 0.0677009i | ||||
\(463\) | − | 710.071i | − | 1.53363i | −0.641868 | − | 0.766815i | \(-0.721840\pi\) | ||
0.641868 | − | 0.766815i | \(-0.278160\pi\) | |||||||
\(464\) | −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 | −0.447735 | + | 0.894166i | \(0.647769\pi\) |
−0.999881 | + | 0.0154315i | \(0.995088\pi\) | |||||||
\(468\) | 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 | −0.408753 | − | 0.912645i | \(-0.634036\pi\) |
−0.601587 | + | 0.798807i | \(0.705465\pi\) | |||||||
\(480\) | 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 | 0.701581 | − | 0.712589i | \(-0.252478\pi\) |
−0.850840 | + | 0.525425i | \(0.823906\pi\) | |||||||
\(488\) | 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 | 0.797650 | + | 0.603120i | \(0.206076\pi\) |
−0.643445 | + | 0.765493i | \(0.722495\pi\) | |||||||
\(492\) | − | 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 | −0.225602 | + | 0.974220i | \(0.572435\pi\) |
−0.999995 | + | 0.00316117i | \(0.998994\pi\) | |||||||
\(500\) | −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 | 0.0476598 | − | 0.998864i | \(-0.484824\pi\) |
−0.879266 | + | 0.476331i | \(0.841967\pi\) | |||||||
\(504\) | −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 | 0.344531 | − | 0.938775i | \(-0.388038\pi\) |
0.948775 | + | 0.315952i | \(0.102324\pi\) | |||||||
\(510\) | 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 | \(-0.870441\pi\) | ||
0.918304 | − | 0.395876i | \(-0.129559\pi\) | |||||||
\(522\) | 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 | −0.852224 | − | 0.523177i | \(-0.824747\pi\) |
0.841132 | + | 0.540829i | \(0.181890\pi\) | |||||||
\(542\) | 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 | 0.962785 | − | 0.270270i | \(-0.0871130\pi\) |
−0.984705 | + | 0.174232i | \(0.944256\pi\) | |||||||
\(548\) | −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 | 0.00137506 | − | 0.999999i | \(-0.499562\pi\) |
0.975233 | + | 0.221180i | \(0.0709909\pi\) | |||||||
\(558\) | 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 | −0.931633 | − | 0.363400i | \(-0.881616\pi\) |
0.363400 | + | 0.931633i | \(0.381616\pi\) | |||||||
\(564\) | 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 | −0.684660 | − | 0.728863i | \(-0.740049\pi\) |
0.989727 | − | 0.142969i | \(-0.0456650\pi\) | |||||||
\(570\) | 17.8278 | − | 28.3728i | 0.0312769 | − | 0.0497769i | ||||
\(571\) | 619.219 | + | 298.200i | 1.08445 | + | 0.522242i | 0.888736 | − | 0.458419i | \(-0.151584\pi\) |
0.195711 | + | 0.980662i | \(0.437299\pi\) | |||||||
\(572\) | −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 | 0.819505 | − | 0.573072i | \(-0.194249\pi\) |
−0.871890 | + | 0.489702i | \(0.837106\pi\) | |||||||
\(578\) | 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 | 0.876221 | + | 0.481910i | \(0.160057\pi\) |
−0.998541 | + | 0.0540076i | \(0.982800\pi\) | |||||||
\(588\) | −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 | 0.999552 | − | 0.0299430i | \(-0.00953257\pi\) |
−0.646621 | + | 0.762812i | \(0.723818\pi\) | |||||||
\(594\) | 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 | −0.219586 | − | 0.975593i | \(-0.570471\pi\) |
0.974254 | − | 0.225454i | \(-0.0723865\pi\) | |||||||
\(600\) | 224.921 | + | 108.316i | 0.374868 | + | 0.180527i | ||||
\(601\) | 241.988 | + | 691.562i | 0.402642 | + | 1.15069i | 0.949584 | + | 0.313514i | \(0.101506\pi\) |
−0.546941 | + | 0.837171i | \(0.684208\pi\) | |||||||
\(602\) | 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 | −0.995640 | − | 0.0932767i | \(-0.970266\pi\) |
0.949921 | − | 0.312489i | \(-0.101163\pi\) | |||||||
\(608\) | − | 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 | −0.221545 | − | 0.975150i | \(-0.571110\pi\) |
0.223497 | + | 0.974705i | \(0.428253\pi\) | |||||||
\(614\) | −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 | −0.551368 | − | 0.834262i | \(-0.685894\pi\) |
0.0890772 | + | 0.996025i | \(0.471608\pi\) | |||||||
\(618\) | −42.1390 | + | 87.5025i | −0.0681861 | + | 0.141590i | ||||
\(619\) | −272.432 | − | 171.181i | −0.440117 | − | 0.276544i | 0.293691 | − | 0.955900i | \(-0.405116\pi\) |
−0.733808 | + | 0.679356i | \(0.762259\pi\) | |||||||
\(620\) | −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 | 0.724527 | − | 0.689247i | \(-0.242058\pi\) |
0.353723 | + | 0.935350i | \(0.384916\pi\) | |||||||
\(632\) | 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 | −0.553748 | + | 0.832684i | \(0.686803\pi\) |
−0.990485 | + | 0.137621i | \(0.956054\pi\) | |||||||
\(642\) | 79.3031 | − | 18.1004i | 0.123525 | − | 0.0281938i | ||||
\(643\) | −234.086 | − | 186.677i | −0.364052 | − | 0.290322i | 0.424330 | − | 0.905508i | \(-0.360510\pi\) |
−0.788382 | + | 0.615186i | \(0.789081\pi\) | |||||||
\(644\) | −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 | −0.0484269 | − | 0.998827i | \(-0.515421\pi\) |
0.811108 | − | 0.584897i | \(-0.198865\pi\) | |||||||
\(648\) | −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 | 0.565367 | − | 0.824839i | \(-0.308735\pi\) |
0.367648 | + | 0.929965i | \(0.380163\pi\) | |||||||
\(654\) | 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 | 0.996820 | + | 0.0796900i | \(0.0253931\pi\) |
−0.729659 | + | 0.683811i | \(0.760321\pi\) | |||||||
\(660\) | 102.317 | + | 23.3531i | 0.155026 | + | 0.0353836i | ||||
\(661\) | 620.208 | + | 777.717i | 0.938288 | + | 1.17658i | 0.984098 | + | 0.177626i | \(0.0568417\pi\) |
−0.0458100 | + | 0.998950i | \(0.514587\pi\) | |||||||
\(662\) | 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 | −0.361594 | − | 0.932336i | \(-0.617767\pi\) |
0.828498 | + | 0.559992i | \(0.189196\pi\) | |||||||
\(674\) | −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 | 0.807640 | − | 0.589676i | \(-0.200745\pi\) |
−0.180858 | + | 0.983509i | \(0.557888\pi\) | |||||||
\(678\) | −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 | −0.668724 | − | 0.743511i | \(-0.733159\pi\) |
0.164358 | + | 0.986401i | \(0.447445\pi\) | |||||||
\(684\) | 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 | −0.998209 | − | 0.0598158i | \(-0.980949\pi\) |
0.280439 | + | 0.959872i | \(0.409520\pi\) | |||||||
\(692\) | −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 | −0.178548 | − | 0.983931i | \(-0.557140\pi\) |
−0.998993 | + | 0.0448739i | \(0.985711\pi\) | |||||||
\(702\) | 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 | 0.996364 | + | 0.0851945i | \(0.0271512\pi\) |
−0.554615 | + | 0.832107i | \(0.687135\pi\) | |||||||
\(710\) | −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 | −0.980924 | − | 0.194394i | \(-0.937726\pi\) |
0.0287562 | − | 0.999586i | \(-0.490845\pi\) | |||||||
\(720\) | 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 | −0.0905290 | − | 0.995894i | \(-0.528856\pi\) |
0.133348 | + | 0.991069i | \(0.457427\pi\) | |||||||
\(728\) | −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 | −0.230651 | − | 0.973037i | \(-0.574085\pi\) |
0.426348 | + | 0.904559i | \(0.359800\pi\) | |||||||
\(734\) | −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 | −0.562191 | − | 0.827008i | \(-0.690041\pi\) |
0.732122 | − | 0.681174i | \(-0.238530\pi\) | |||||||
\(740\) | 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 | −0.978682 | − | 0.205381i | \(-0.934157\pi\) |
0.893217 | + | 0.449625i | \(0.148442\pi\) | |||||||
\(744\) | −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 | 0.693191 | − | 0.720754i | \(-0.256204\pi\) |
−0.950141 | + | 0.311820i | \(0.899061\pi\) | |||||||
\(752\) | −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 | −0.624796 | − | 0.780788i | \(-0.714818\pi\) |
0.432377 | + | 0.901693i | \(0.357675\pi\) | |||||||
\(758\) | 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 | −0.999488 | − | 0.0320077i | \(-0.989810\pi\) |
0.914395 | + | 0.404824i | \(0.132667\pi\) | |||||||
\(762\) | −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 | −0.293700 | − | 0.955898i | \(-0.594887\pi\) |
−0.499043 | + | 0.866577i | \(0.666315\pi\) | |||||||
\(770\) | 8.45805 | − | 4.07318i | 0.0109845 | − | 0.00528985i | ||||
\(771\) | 25.0067 | + | 25.0067i | 0.0324341 |