Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [555,2,Mod(184,555)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(555, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("555.184");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 555 = 3 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 555.g (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.43169731218\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 184.11 | ||
Character | \(\chi\) | \(=\) | 555.184 |
Dual form | 555.2.g.a.184.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/555\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) | \(371\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.47721 | −1.04454 | −0.522271 | − | 0.852779i | \(-0.674915\pi\) | ||||
−0.522271 | + | 0.852779i | \(0.674915\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 0.182137 | 0.0910685 | ||||||||
\(5\) | −0.357763 | + | 2.20726i | −0.159997 | + | 0.987118i | ||||
\(6\) | 1.47721i | 0.603067i | ||||||||
\(7\) | − | 1.62051i | − | 0.612495i | −0.951952 | − | 0.306248i | \(-0.900926\pi\) | ||
0.951952 | − | 0.306248i | \(-0.0990736\pi\) | |||||||
\(8\) | 2.68536 | 0.949417 | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 0.528490 | − | 3.26058i | 0.167123 | − | 1.03109i | ||||
\(11\) | −0.174569 | −0.0526344 | −0.0263172 | − | 0.999654i | \(-0.508378\pi\) | ||||
−0.0263172 | + | 0.999654i | \(0.508378\pi\) | |||||||
\(12\) | − | 0.182137i | − | 0.0525784i | ||||||
\(13\) | −4.30618 | −1.19432 | −0.597159 | − | 0.802123i | \(-0.703704\pi\) | ||||
−0.597159 | + | 0.802123i | \(0.703704\pi\) | |||||||
\(14\) | 2.39383i | 0.639777i | ||||||||
\(15\) | 2.20726 | + | 0.357763i | 0.569913 | + | 0.0923741i | ||||
\(16\) | −4.33110 | −1.08278 | ||||||||
\(17\) | 6.78820 | 1.64638 | 0.823190 | − | 0.567766i | \(-0.192192\pi\) | ||||
0.823190 | + | 0.567766i | \(0.192192\pi\) | |||||||
\(18\) | 1.47721 | 0.348181 | ||||||||
\(19\) | 3.61639i | 0.829657i | 0.909900 | + | 0.414828i | \(0.136158\pi\) | ||||
−0.909900 | + | 0.414828i | \(0.863842\pi\) | |||||||
\(20\) | −0.0651620 | + | 0.402024i | −0.0145707 | + | 0.0898954i | ||||
\(21\) | −1.62051 | −0.353624 | ||||||||
\(22\) | 0.257874 | 0.0549789 | ||||||||
\(23\) | −6.61293 | −1.37889 | −0.689446 | − | 0.724337i | \(-0.742146\pi\) | ||||
−0.689446 | + | 0.724337i | \(0.742146\pi\) | |||||||
\(24\) | − | 2.68536i | − | 0.548146i | ||||||
\(25\) | −4.74401 | − | 1.57935i | −0.948802 | − | 0.315871i | ||||
\(26\) | 6.36111 | 1.24752 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | − | 0.295155i | − | 0.0557791i | ||||||
\(29\) | 2.45483i | 0.455851i | 0.973679 | + | 0.227925i | \(0.0731942\pi\) | ||||
−0.973679 | + | 0.227925i | \(0.926806\pi\) | |||||||
\(30\) | −3.26058 | − | 0.528490i | −0.595298 | − | 0.0964887i | ||||
\(31\) | 6.18326i | 1.11055i | 0.831668 | + | 0.555273i | \(0.187386\pi\) | ||||
−0.831668 | + | 0.555273i | \(0.812614\pi\) | |||||||
\(32\) | 1.02721 | 0.181587 | ||||||||
\(33\) | 0.174569i | 0.0303885i | ||||||||
\(34\) | −10.0276 | −1.71971 | ||||||||
\(35\) | 3.57689 | + | 0.579759i | 0.604605 | + | 0.0979972i | ||||
\(36\) | −0.182137 | −0.0303562 | ||||||||
\(37\) | 1.01187 | + | 5.99801i | 0.166350 | + | 0.986067i | ||||
\(38\) | − | 5.34215i | − | 0.866611i | ||||||
\(39\) | 4.30618i | 0.689540i | ||||||||
\(40\) | −0.960723 | + | 5.92729i | −0.151904 | + | 0.937187i | ||||
\(41\) | 11.5949 | 1.81082 | 0.905412 | − | 0.424533i | \(-0.139562\pi\) | ||||
0.905412 | + | 0.424533i | \(0.139562\pi\) | |||||||
\(42\) | 2.39383 | 0.369376 | ||||||||
\(43\) | −9.32564 | −1.42215 | −0.711073 | − | 0.703118i | \(-0.751791\pi\) | ||||
−0.711073 | + | 0.703118i | \(0.751791\pi\) | |||||||
\(44\) | −0.0317954 | −0.00479334 | ||||||||
\(45\) | 0.357763 | − | 2.20726i | 0.0533322 | − | 0.329039i | ||||
\(46\) | 9.76866 | 1.44031 | ||||||||
\(47\) | 11.8580i | 1.72967i | 0.502054 | + | 0.864836i | \(0.332578\pi\) | ||||
−0.502054 | + | 0.864836i | \(0.667422\pi\) | |||||||
\(48\) | 4.33110i | 0.625140i | ||||||||
\(49\) | 4.37395 | 0.624849 | ||||||||
\(50\) | 7.00788 | + | 2.33303i | 0.991064 | + | 0.329941i | ||||
\(51\) | − | 6.78820i | − | 0.950538i | ||||||
\(52\) | −0.784314 | −0.108765 | ||||||||
\(53\) | 5.47148i | 0.751566i | 0.926708 | + | 0.375783i | \(0.122626\pi\) | ||||
−0.926708 | + | 0.375783i | \(0.877374\pi\) | |||||||
\(54\) | − | 1.47721i | − | 0.201022i | ||||||
\(55\) | 0.0624543 | − | 0.385319i | 0.00842133 | − | 0.0519564i | ||||
\(56\) | − | 4.35165i | − | 0.581514i | ||||||
\(57\) | 3.61639 | 0.479002 | ||||||||
\(58\) | − | 3.62629i | − | 0.476155i | ||||||
\(59\) | 3.00991i | 0.391857i | 0.980618 | + | 0.195928i | \(0.0627720\pi\) | ||||
−0.980618 | + | 0.195928i | \(0.937228\pi\) | |||||||
\(60\) | 0.402024 | + | 0.0651620i | 0.0519011 | + | 0.00841237i | ||||
\(61\) | 11.4713i | 1.46875i | 0.678745 | + | 0.734374i | \(0.262524\pi\) | ||||
−0.678745 | + | 0.734374i | \(0.737476\pi\) | |||||||
\(62\) | − | 9.13395i | − | 1.16001i | ||||||
\(63\) | 1.62051i | 0.204165i | ||||||||
\(64\) | 7.14480 | 0.893100 | ||||||||
\(65\) | 1.54059 | − | 9.50486i | 0.191087 | − | 1.17893i | ||||
\(66\) | − | 0.257874i | − | 0.0317421i | ||||||
\(67\) | 2.04067i | 0.249307i | 0.992200 | + | 0.124654i | \(0.0397820\pi\) | ||||
−0.992200 | + | 0.124654i | \(0.960218\pi\) | |||||||
\(68\) | 1.23638 | 0.149933 | ||||||||
\(69\) | 6.61293i | 0.796103i | ||||||||
\(70\) | −5.28380 | − | 0.856424i | −0.631535 | − | 0.102362i | ||||
\(71\) | −11.0257 | −1.30851 | −0.654253 | − | 0.756276i | \(-0.727017\pi\) | ||||
−0.654253 | + | 0.756276i | \(0.727017\pi\) | |||||||
\(72\) | −2.68536 | −0.316472 | ||||||||
\(73\) | − | 7.16903i | − | 0.839071i | −0.907739 | − | 0.419535i | \(-0.862193\pi\) | ||
0.907739 | − | 0.419535i | \(-0.137807\pi\) | |||||||
\(74\) | −1.49473 | − | 8.86030i | −0.173759 | − | 1.02999i | ||||
\(75\) | −1.57935 | + | 4.74401i | −0.182368 | + | 0.547791i | ||||
\(76\) | 0.658679i | 0.0755556i | ||||||||
\(77\) | 0.282890i | 0.0322383i | ||||||||
\(78\) | − | 6.36111i | − | 0.720254i | ||||||
\(79\) | − | 15.4144i | − | 1.73425i | −0.498089 | − | 0.867126i | \(-0.665965\pi\) | ||
0.498089 | − | 0.867126i | \(-0.334035\pi\) | |||||||
\(80\) | 1.54951 | − | 9.55987i | 0.173240 | − | 1.06883i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −17.1281 | −1.89148 | ||||||||
\(83\) | 10.8772i | 1.19393i | 0.802267 | + | 0.596965i | \(0.203627\pi\) | ||||
−0.802267 | + | 0.596965i | \(0.796373\pi\) | |||||||
\(84\) | −0.295155 | −0.0322041 | ||||||||
\(85\) | −2.42857 | + | 14.9833i | −0.263415 | + | 1.62517i | ||||
\(86\) | 13.7759 | 1.48549 | ||||||||
\(87\) | 2.45483 | 0.263185 | ||||||||
\(88\) | −0.468779 | −0.0499720 | ||||||||
\(89\) | 13.4034i | 1.42075i | 0.703821 | + | 0.710377i | \(0.251476\pi\) | ||||
−0.703821 | + | 0.710377i | \(0.748524\pi\) | |||||||
\(90\) | −0.528490 | + | 3.26058i | −0.0557078 | + | 0.343695i | ||||
\(91\) | 6.97820i | 0.731514i | ||||||||
\(92\) | −1.20446 | −0.125574 | ||||||||
\(93\) | 6.18326 | 0.641174 | ||||||||
\(94\) | − | 17.5168i | − | 1.80672i | ||||||
\(95\) | −7.98232 | − | 1.29381i | −0.818969 | − | 0.132742i | ||||
\(96\) | − | 1.02721i | − | 0.104839i | ||||||
\(97\) | −6.23756 | −0.633328 | −0.316664 | − | 0.948538i | \(-0.602563\pi\) | ||||
−0.316664 | + | 0.948538i | \(0.602563\pi\) | |||||||
\(98\) | −6.46122 | −0.652682 | ||||||||
\(99\) | 0.174569 | 0.0175448 | ||||||||
\(100\) | −0.864060 | − | 0.287659i | −0.0864060 | − | 0.0287659i | ||||
\(101\) | 1.63491 | 0.162680 | 0.0813400 | − | 0.996686i | \(-0.474080\pi\) | ||||
0.0813400 | + | 0.996686i | \(0.474080\pi\) | |||||||
\(102\) | 10.0276i | 0.992877i | ||||||||
\(103\) | −14.8032 | −1.45861 | −0.729304 | − | 0.684190i | \(-0.760156\pi\) | ||||
−0.729304 | + | 0.684190i | \(0.760156\pi\) | |||||||
\(104\) | −11.5636 | −1.13391 | ||||||||
\(105\) | 0.579759 | − | 3.57689i | 0.0565787 | − | 0.349069i | ||||
\(106\) | − | 8.08250i | − | 0.785042i | ||||||
\(107\) | 3.70555i | 0.358229i | 0.983828 | + | 0.179114i | \(0.0573232\pi\) | ||||
−0.983828 | + | 0.179114i | \(0.942677\pi\) | |||||||
\(108\) | 0.182137i | 0.0175261i | ||||||||
\(109\) | − | 9.02932i | − | 0.864852i | −0.901669 | − | 0.432426i | \(-0.857658\pi\) | ||
0.901669 | − | 0.432426i | \(-0.142342\pi\) | |||||||
\(110\) | −0.0922578 | + | 0.569195i | −0.00879644 | + | 0.0542706i | ||||
\(111\) | 5.99801 | − | 1.01187i | 0.569306 | − | 0.0960420i | ||||
\(112\) | 7.01859i | 0.663195i | ||||||||
\(113\) | 12.4027 | 1.16675 | 0.583375 | − | 0.812203i | \(-0.301732\pi\) | ||||
0.583375 | + | 0.812203i | \(0.301732\pi\) | |||||||
\(114\) | −5.34215 | −0.500338 | ||||||||
\(115\) | 2.36586 | − | 14.5965i | 0.220618 | − | 1.36113i | ||||
\(116\) | 0.447116i | 0.0415136i | ||||||||
\(117\) | 4.30618 | 0.398106 | ||||||||
\(118\) | − | 4.44626i | − | 0.409311i | ||||||
\(119\) | − | 11.0003i | − | 1.00840i | ||||||
\(120\) | 5.92729 | + | 0.960723i | 0.541085 | + | 0.0877016i | ||||
\(121\) | −10.9695 | −0.997230 | ||||||||
\(122\) | − | 16.9455i | − | 1.53417i | ||||||
\(123\) | − | 11.5949i | − | 1.04548i | ||||||
\(124\) | 1.12620i | 0.101136i | ||||||||
\(125\) | 5.18328 | − | 9.90624i | 0.463607 | − | 0.886041i | ||||
\(126\) | − | 2.39383i | − | 0.213259i | ||||||
\(127\) | − | 10.2955i | − | 0.913574i | −0.889576 | − | 0.456787i | \(-0.849000\pi\) | ||
0.889576 | − | 0.456787i | \(-0.151000\pi\) | |||||||
\(128\) | −12.6088 | −1.11447 | ||||||||
\(129\) | 9.32564i | 0.821076i | ||||||||
\(130\) | −2.27577 | + | 14.0406i | −0.199598 | + | 1.23144i | ||||
\(131\) | − | 15.1552i | − | 1.32411i | −0.749454 | − | 0.662056i | \(-0.769684\pi\) | ||
0.749454 | − | 0.662056i | \(-0.230316\pi\) | |||||||
\(132\) | 0.0317954i | 0.00276744i | ||||||||
\(133\) | 5.86040 | 0.508161 | ||||||||
\(134\) | − | 3.01449i | − | 0.260412i | ||||||
\(135\) | −2.20726 | − | 0.357763i | −0.189971 | − | 0.0307914i | ||||
\(136\) | 18.2287 | 1.56310 | ||||||||
\(137\) | − | 14.4532i | − | 1.23482i | −0.786642 | − | 0.617410i | \(-0.788182\pi\) | ||
0.786642 | − | 0.617410i | \(-0.211818\pi\) | |||||||
\(138\) | − | 9.76866i | − | 0.831564i | ||||||
\(139\) | −1.59000 | −0.134862 | −0.0674312 | − | 0.997724i | \(-0.521480\pi\) | ||||
−0.0674312 | + | 0.997724i | \(0.521480\pi\) | |||||||
\(140\) | 0.651484 | + | 0.105596i | 0.0550605 | + | 0.00892446i | ||||
\(141\) | 11.8580 | 0.998627 | ||||||||
\(142\) | 16.2872 | 1.36679 | ||||||||
\(143\) | 0.751723 | 0.0628623 | ||||||||
\(144\) | 4.33110 | 0.360925 | ||||||||
\(145\) | −5.41845 | − | 0.878248i | −0.449978 | − | 0.0729346i | ||||
\(146\) | 10.5901i | 0.876445i | ||||||||
\(147\) | − | 4.37395i | − | 0.360757i | ||||||
\(148\) | 0.184298 | + | 1.09246i | 0.0151492 | + | 0.0897997i | ||||
\(149\) | −12.7220 | −1.04223 | −0.521113 | − | 0.853488i | \(-0.674483\pi\) | ||||
−0.521113 | + | 0.853488i | \(0.674483\pi\) | |||||||
\(150\) | 2.33303 | − | 7.00788i | 0.190491 | − | 0.572191i | ||||
\(151\) | 16.8436 | 1.37071 | 0.685357 | − | 0.728207i | \(-0.259646\pi\) | ||||
0.685357 | + | 0.728207i | \(0.259646\pi\) | |||||||
\(152\) | 9.71130i | 0.787690i | ||||||||
\(153\) | −6.78820 | −0.548793 | ||||||||
\(154\) | − | 0.417887i | − | 0.0336743i | ||||||
\(155\) | −13.6481 | − | 2.21214i | −1.09624 | − | 0.177684i | ||||
\(156\) | 0.784314i | 0.0627954i | ||||||||
\(157\) | − | 11.9808i | − | 0.956172i | −0.878313 | − | 0.478086i | \(-0.841331\pi\) | ||
0.878313 | − | 0.478086i | \(-0.158669\pi\) | |||||||
\(158\) | 22.7702i | 1.81150i | ||||||||
\(159\) | 5.47148 | 0.433917 | ||||||||
\(160\) | −0.367499 | + | 2.26732i | −0.0290533 | + | 0.179248i | ||||
\(161\) | 10.7163i | 0.844565i | ||||||||
\(162\) | −1.47721 | −0.116060 | ||||||||
\(163\) | −5.71059 | −0.447288 | −0.223644 | − | 0.974671i | \(-0.571795\pi\) | ||||
−0.223644 | + | 0.974671i | \(0.571795\pi\) | |||||||
\(164\) | 2.11187 | 0.164909 | ||||||||
\(165\) | −0.385319 | − | 0.0624543i | −0.0299970 | − | 0.00486206i | ||||
\(166\) | − | 16.0679i | − | 1.24711i | ||||||
\(167\) | 11.3389 | 0.877429 | 0.438714 | − | 0.898627i | \(-0.355434\pi\) | ||||
0.438714 | + | 0.898627i | \(0.355434\pi\) | |||||||
\(168\) | −4.35165 | −0.335737 | ||||||||
\(169\) | 5.54314 | 0.426396 | ||||||||
\(170\) | 3.58750 | − | 22.1335i | 0.275148 | − | 1.69756i | ||||
\(171\) | − | 3.61639i | − | 0.276552i | ||||||
\(172\) | −1.69854 | −0.129513 | ||||||||
\(173\) | 1.44520i | 0.109876i | 0.998490 | + | 0.0549382i | \(0.0174962\pi\) | ||||
−0.998490 | + | 0.0549382i | \(0.982504\pi\) | |||||||
\(174\) | −3.62629 | −0.274908 | ||||||||
\(175\) | −2.55936 | + | 7.68772i | −0.193470 | + | 0.581137i | ||||
\(176\) | 0.756074 | 0.0569913 | ||||||||
\(177\) | 3.00991 | 0.226239 | ||||||||
\(178\) | − | 19.7995i | − | 1.48404i | ||||||
\(179\) | 5.34851i | 0.399766i | 0.979820 | + | 0.199883i | \(0.0640562\pi\) | ||||
−0.979820 | + | 0.199883i | \(0.935944\pi\) | |||||||
\(180\) | 0.0651620 | − | 0.402024i | 0.00485689 | − | 0.0299651i | ||||
\(181\) | 20.3928 | 1.51578 | 0.757892 | − | 0.652380i | \(-0.226229\pi\) | ||||
0.757892 | + | 0.652380i | \(0.226229\pi\) | |||||||
\(182\) | − | 10.3082i | − | 0.764098i | ||||||
\(183\) | 11.4713 | 0.847982 | ||||||||
\(184\) | −17.7581 | −1.30914 | ||||||||
\(185\) | −13.6012 | + | 0.0875839i | −0.999979 | + | 0.00643930i | ||||
\(186\) | −9.13395 | −0.669734 | ||||||||
\(187\) | −1.18501 | −0.0866563 | ||||||||
\(188\) | 2.15979i | 0.157519i | ||||||||
\(189\) | 1.62051 | 0.117875 | ||||||||
\(190\) | 11.7915 | + | 1.91123i | 0.855447 | + | 0.138655i | ||||
\(191\) | 8.41729i | 0.609053i | 0.952504 | + | 0.304527i | \(0.0984983\pi\) | ||||
−0.952504 | + | 0.304527i | \(0.901502\pi\) | |||||||
\(192\) | − | 7.14480i | − | 0.515631i | ||||||
\(193\) | 7.63343 | 0.549466 | 0.274733 | − | 0.961521i | \(-0.411411\pi\) | ||||
0.274733 | + | 0.961521i | \(0.411411\pi\) | |||||||
\(194\) | 9.21416 | 0.661538 | ||||||||
\(195\) | −9.50486 | − | 1.54059i | −0.680657 | − | 0.110324i | ||||
\(196\) | 0.796658 | 0.0569041 | ||||||||
\(197\) | 20.4107i | 1.45420i | 0.686530 | + | 0.727101i | \(0.259133\pi\) | ||||
−0.686530 | + | 0.727101i | \(0.740867\pi\) | |||||||
\(198\) | −0.257874 | −0.0183263 | ||||||||
\(199\) | 9.37755i | 0.664757i | 0.943146 | + | 0.332378i | \(0.107851\pi\) | ||||
−0.943146 | + | 0.332378i | \(0.892149\pi\) | |||||||
\(200\) | −12.7394 | − | 4.24113i | −0.900809 | − | 0.299893i | ||||
\(201\) | 2.04067 | 0.143938 | ||||||||
\(202\) | −2.41510 | −0.169926 | ||||||||
\(203\) | 3.97808 | 0.279206 | ||||||||
\(204\) | − | 1.23638i | − | 0.0865641i | ||||||
\(205\) | −4.14824 | + | 25.5931i | −0.289726 | + | 1.78750i | ||||
\(206\) | 21.8674 | 1.52358 | ||||||||
\(207\) | 6.61293 | 0.459631 | ||||||||
\(208\) | 18.6505 | 1.29318 | ||||||||
\(209\) | − | 0.631308i | − | 0.0436685i | ||||||
\(210\) | −0.856424 | + | 5.28380i | −0.0590989 | + | 0.364617i | ||||
\(211\) | −2.19686 | −0.151238 | −0.0756189 | − | 0.997137i | \(-0.524093\pi\) | ||||
−0.0756189 | + | 0.997137i | \(0.524093\pi\) | |||||||
\(212\) | 0.996560i | 0.0684440i | ||||||||
\(213\) | 11.0257i | 0.755466i | ||||||||
\(214\) | − | 5.47385i | − | 0.374185i | ||||||
\(215\) | 3.33637 | − | 20.5841i | 0.227539 | − | 1.40383i | ||||
\(216\) | 2.68536i | 0.182715i | ||||||||
\(217\) | 10.0200 | 0.680204 | ||||||||
\(218\) | 13.3382i | 0.903375i | ||||||||
\(219\) | −7.16903 | −0.484438 | ||||||||
\(220\) | 0.0113752 | − | 0.0701808i | 0.000766918 | − | 0.00473159i | ||||
\(221\) | −29.2312 | −1.96630 | ||||||||
\(222\) | −8.86030 | + | 1.49473i | −0.594664 | + | 0.100320i | ||||
\(223\) | 12.3815i | 0.829127i | 0.910020 | + | 0.414564i | \(0.136066\pi\) | ||||
−0.910020 | + | 0.414564i | \(0.863934\pi\) | |||||||
\(224\) | − | 1.66461i | − | 0.111221i | ||||||
\(225\) | 4.74401 | + | 1.57935i | 0.316267 | + | 0.105290i | ||||
\(226\) | −18.3214 | −1.21872 | ||||||||
\(227\) | 1.90018 | 0.126119 | 0.0630597 | − | 0.998010i | \(-0.479914\pi\) | ||||
0.0630597 | + | 0.998010i | \(0.479914\pi\) | |||||||
\(228\) | 0.658679 | 0.0436221 | ||||||||
\(229\) | −5.07678 | −0.335483 | −0.167741 | − | 0.985831i | \(-0.553647\pi\) | ||||
−0.167741 | + | 0.985831i | \(0.553647\pi\) | |||||||
\(230\) | −3.49487 | + | 21.5620i | −0.230445 | + | 1.42176i | ||||
\(231\) | 0.282890 | 0.0186128 | ||||||||
\(232\) | 6.59210i | 0.432792i | ||||||||
\(233\) | 0.381223i | 0.0249747i | 0.999922 | + | 0.0124874i | \(0.00397495\pi\) | ||||
−0.999922 | + | 0.0124874i | \(0.996025\pi\) | |||||||
\(234\) | −6.36111 | −0.415839 | ||||||||
\(235\) | −26.1738 | − | 4.24237i | −1.70739 | − | 0.276742i | ||||
\(236\) | 0.548216i | 0.0356858i | ||||||||
\(237\) | −15.4144 | −1.00127 | ||||||||
\(238\) | 16.2498i | 1.05332i | ||||||||
\(239\) | 2.59160i | 0.167637i | 0.996481 | + | 0.0838183i | \(0.0267115\pi\) | ||||
−0.996481 | + | 0.0838183i | \(0.973288\pi\) | |||||||
\(240\) | −9.55987 | − | 1.54951i | −0.617087 | − | 0.100020i | ||||
\(241\) | − | 1.08953i | − | 0.0701826i | −0.999384 | − | 0.0350913i | \(-0.988828\pi\) | ||
0.999384 | − | 0.0350913i | \(-0.0111722\pi\) | |||||||
\(242\) | 16.2042 | 1.04165 | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 2.08935i | 0.133757i | ||||||||
\(245\) | −1.56484 | + | 9.65445i | −0.0999738 | + | 0.616800i | ||||
\(246\) | 17.1281i | 1.09205i | ||||||||
\(247\) | − | 15.5728i | − | 0.990874i | ||||||
\(248\) | 16.6043i | 1.05437i | ||||||||
\(249\) | 10.8772 | 0.689316 | ||||||||
\(250\) | −7.65678 | + | 14.6336i | −0.484257 | + | 0.925507i | ||||
\(251\) | − | 17.5464i | − | 1.10752i | −0.832676 | − | 0.553761i | \(-0.813192\pi\) | ||
0.832676 | − | 0.553761i | \(-0.186808\pi\) | |||||||
\(252\) | 0.295155i | 0.0185930i | ||||||||
\(253\) | 1.15441 | 0.0725772 | ||||||||
\(254\) | 15.2085i | 0.954267i | ||||||||
\(255\) | 14.9833 | + | 2.42857i | 0.938292 | + | 0.152083i | ||||
\(256\) | 4.33614 | 0.271009 | ||||||||
\(257\) | 0.704289 | 0.0439323 | 0.0219662 | − | 0.999759i | \(-0.493007\pi\) | ||||
0.0219662 | + | 0.999759i | \(0.493007\pi\) | |||||||
\(258\) | − | 13.7759i | − | 0.857649i | ||||||
\(259\) | 9.71984 | − | 1.63974i | 0.603961 | − | 0.101888i | ||||
\(260\) | 0.280599 | − | 1.73119i | 0.0174020 | − | 0.107364i | ||||
\(261\) | − | 2.45483i | − | 0.151950i | ||||||
\(262\) | 22.3873i | 1.38309i | ||||||||
\(263\) | − | 2.40942i | − | 0.148571i | −0.997237 | − | 0.0742857i | \(-0.976332\pi\) | ||
0.997237 | − | 0.0742857i | \(-0.0236677\pi\) | |||||||
\(264\) | 0.468779i | 0.0288514i | ||||||||
\(265\) | −12.0770 | − | 1.95750i | −0.741884 | − | 0.120248i | ||||
\(266\) | −8.65701 | −0.530795 | ||||||||
\(267\) | 13.4034 | 0.820273 | ||||||||
\(268\) | 0.371681i | 0.0227040i | ||||||||
\(269\) | −31.2880 | −1.90766 | −0.953831 | − | 0.300345i | \(-0.902898\pi\) | ||||
−0.953831 | + | 0.300345i | \(0.902898\pi\) | |||||||
\(270\) | 3.26058 | + | 0.528490i | 0.198433 | + | 0.0321629i | ||||
\(271\) | −1.13176 | −0.0687498 | −0.0343749 | − | 0.999409i | \(-0.510944\pi\) | ||||
−0.0343749 | + | 0.999409i | \(0.510944\pi\) | |||||||
\(272\) | −29.4004 | −1.78266 | ||||||||
\(273\) | 6.97820 | 0.422340 | ||||||||
\(274\) | 21.3503i | 1.28982i | ||||||||
\(275\) | 0.828156 | + | 0.275706i | 0.0499397 | + | 0.0166257i | ||||
\(276\) | 1.20446i | 0.0725000i | ||||||||
\(277\) | −1.15138 | −0.0691799 | −0.0345900 | − | 0.999402i | \(-0.511013\pi\) | ||||
−0.0345900 | + | 0.999402i | \(0.511013\pi\) | |||||||
\(278\) | 2.34876 | 0.140869 | ||||||||
\(279\) | − | 6.18326i | − | 0.370182i | ||||||
\(280\) | 9.60523 | + | 1.55686i | 0.574022 | + | 0.0930402i | ||||
\(281\) | 15.7460i | 0.939325i | 0.882846 | + | 0.469663i | \(0.155624\pi\) | ||||
−0.882846 | + | 0.469663i | \(0.844376\pi\) | |||||||
\(282\) | −17.5168 | −1.04311 | ||||||||
\(283\) | 8.55489 | 0.508535 | 0.254268 | − | 0.967134i | \(-0.418166\pi\) | ||||
0.254268 | + | 0.967134i | \(0.418166\pi\) | |||||||
\(284\) | −2.00818 | −0.119164 | ||||||||
\(285\) | −1.29381 | + | 7.98232i | −0.0766388 | + | 0.472832i | ||||
\(286\) | −1.11045 | −0.0656623 | ||||||||
\(287\) | − | 18.7897i | − | 1.10912i | ||||||
\(288\) | −1.02721 | −0.0605290 | ||||||||
\(289\) | 29.0796 | 1.71057 | ||||||||
\(290\) | 8.00417 | + | 1.29735i | 0.470021 | + | 0.0761832i | ||||
\(291\) | 6.23756i | 0.365652i | ||||||||
\(292\) | − | 1.30575i | − | 0.0764130i | ||||||
\(293\) | − | 8.87914i | − | 0.518725i | −0.965780 | − | 0.259363i | \(-0.916488\pi\) | ||
0.965780 | − | 0.259363i | \(-0.0835124\pi\) | |||||||
\(294\) | 6.46122i | 0.376826i | ||||||||
\(295\) | −6.64366 | − | 1.07684i | −0.386809 | − | 0.0626958i | ||||
\(296\) | 2.71722 | + | 16.1068i | 0.157935 | + | 0.936189i | ||||
\(297\) | − | 0.174569i | − | 0.0101295i | ||||||
\(298\) | 18.7930 | 1.08865 | ||||||||
\(299\) | 28.4764 | 1.64684 | ||||||||
\(300\) | −0.287659 | + | 0.864060i | −0.0166080 | + | 0.0498865i | ||||
\(301\) | 15.1123i | 0.871058i | ||||||||
\(302\) | −24.8815 | −1.43177 | ||||||||
\(303\) | − | 1.63491i | − | 0.0939233i | ||||||
\(304\) | − | 15.6629i | − | 0.898331i | ||||||
\(305\) | −25.3201 | − | 4.10401i | −1.44983 | − | 0.234995i | ||||
\(306\) | 10.0276 | 0.573238 | ||||||||
\(307\) | 9.27241i | 0.529204i | 0.964358 | + | 0.264602i | \(0.0852407\pi\) | ||||
−0.964358 | + | 0.264602i | \(0.914759\pi\) | |||||||
\(308\) | 0.0515248i | 0.00293590i | ||||||||
\(309\) | 14.8032i | 0.842127i | ||||||||
\(310\) | 20.1610 | + | 3.26779i | 1.14507 | + | 0.185598i | ||||
\(311\) | − | 30.4567i | − | 1.72704i | −0.504316 | − | 0.863519i | \(-0.668255\pi\) | ||
0.504316 | − | 0.863519i | \(-0.331745\pi\) | |||||||
\(312\) | 11.5636i | 0.654661i | ||||||||
\(313\) | 9.88196 | 0.558562 | 0.279281 | − | 0.960209i | \(-0.409904\pi\) | ||||
0.279281 | + | 0.960209i | \(0.409904\pi\) | |||||||
\(314\) | 17.6981i | 0.998762i | ||||||||
\(315\) | −3.57689 | − | 0.579759i | −0.201535 | − | 0.0326657i | ||||
\(316\) | − | 2.80753i | − | 0.157936i | ||||||
\(317\) | − | 20.6863i | − | 1.16186i | −0.813955 | − | 0.580929i | \(-0.802690\pi\) | ||
0.813955 | − | 0.580929i | \(-0.197310\pi\) | |||||||
\(318\) | −8.08250 | −0.453244 | ||||||||
\(319\) | − | 0.428537i | − | 0.0239934i | ||||||
\(320\) | −2.55615 | + | 15.7704i | −0.142893 | + | 0.881594i | ||||
\(321\) | 3.70555 | 0.206823 | ||||||||
\(322\) | − | 15.8302i | − | 0.882183i | ||||||
\(323\) | 24.5488i | 1.36593i | ||||||||
\(324\) | 0.182137 | 0.0101187 | ||||||||
\(325\) | 20.4285 | + | 6.80098i | 1.13317 | + | 0.377250i | ||||
\(326\) | 8.43571 | 0.467211 | ||||||||
\(327\) | −9.02932 | −0.499323 | ||||||||
\(328\) | 31.1366 | 1.71923 | ||||||||
\(329\) | 19.2161 | 1.05942 | ||||||||
\(330\) | 0.569195 | + | 0.0922578i | 0.0313332 | + | 0.00507863i | ||||
\(331\) | 12.1462i | 0.667616i | 0.942641 | + | 0.333808i | \(0.108334\pi\) | ||||
−0.942641 | + | 0.333808i | \(0.891666\pi\) | |||||||
\(332\) | 1.98115i | 0.108729i | ||||||||
\(333\) | −1.01187 | − | 5.99801i | −0.0554499 | − | 0.328689i | ||||
\(334\) | −16.7499 | −0.916511 | ||||||||
\(335\) | −4.50429 | − | 0.730076i | −0.246096 | − | 0.0398883i | ||||
\(336\) | 7.01859 | 0.382896 | ||||||||
\(337\) | 14.3720i | 0.782892i | 0.920201 | + | 0.391446i | \(0.128025\pi\) | ||||
−0.920201 | + | 0.391446i | \(0.871975\pi\) | |||||||
\(338\) | −8.18837 | −0.445388 | ||||||||
\(339\) | − | 12.4027i | − | 0.673623i | ||||||
\(340\) | −0.442332 | + | 2.72902i | −0.0239888 | + | 0.148002i | ||||
\(341\) | − | 1.07940i | − | 0.0584530i | ||||||
\(342\) | 5.34215i | 0.288870i | ||||||||
\(343\) | − | 18.4316i | − | 0.995213i | ||||||
\(344\) | −25.0427 | −1.35021 | ||||||||
\(345\) | −14.5965 | − | 2.36586i | −0.785848 | − | 0.127374i | ||||
\(346\) | − | 2.13486i | − | 0.114771i | ||||||
\(347\) | 8.00478 | 0.429719 | 0.214860 | − | 0.976645i | \(-0.431071\pi\) | ||||
0.214860 | + | 0.976645i | \(0.431071\pi\) | |||||||
\(348\) | 0.447116 | 0.0239679 | ||||||||
\(349\) | −16.6323 | −0.890308 | −0.445154 | − | 0.895454i | \(-0.646851\pi\) | ||||
−0.445154 | + | 0.895454i | \(0.646851\pi\) | |||||||
\(350\) | 3.78070 | − | 11.3563i | 0.202087 | − | 0.607022i | ||||
\(351\) | − | 4.30618i | − | 0.229847i | ||||||
\(352\) | −0.179319 | −0.00955773 | ||||||||
\(353\) | −0.896749 | −0.0477291 | −0.0238646 | − | 0.999715i | \(-0.507597\pi\) | ||||
−0.0238646 | + | 0.999715i | \(0.507597\pi\) | |||||||
\(354\) | −4.44626 | −0.236316 | ||||||||
\(355\) | 3.94458 | − | 24.3365i | 0.209356 | − | 1.29165i | ||||
\(356\) | 2.44125i | 0.129386i | ||||||||
\(357\) | −11.0003 | −0.582200 | ||||||||
\(358\) | − | 7.90085i | − | 0.417573i | ||||||
\(359\) | 30.7362 | 1.62219 | 0.811096 | − | 0.584913i | \(-0.198871\pi\) | ||||
0.811096 | + | 0.584913i | \(0.198871\pi\) | |||||||
\(360\) | 0.960723 | − | 5.92729i | 0.0506345 | − | 0.312396i | ||||
\(361\) | 5.92173 | 0.311670 | ||||||||
\(362\) | −30.1243 | −1.58330 | ||||||||
\(363\) | 10.9695i | 0.575751i | ||||||||
\(364\) | 1.27099i | 0.0666179i | ||||||||
\(365\) | 15.8239 | + | 2.56481i | 0.828262 | + | 0.134249i | ||||
\(366\) | −16.9455 | −0.885753 | ||||||||
\(367\) | 36.6361i | 1.91239i | 0.292731 | + | 0.956195i | \(0.405436\pi\) | ||||
−0.292731 | + | 0.956195i | \(0.594564\pi\) | |||||||
\(368\) | 28.6413 | 1.49303 | ||||||||
\(369\) | −11.5949 | −0.603608 | ||||||||
\(370\) | 20.0918 | − | 0.129379i | 1.04452 | − | 0.00672612i | ||||
\(371\) | 8.86659 | 0.460331 | ||||||||
\(372\) | 1.12620 | 0.0583908 | ||||||||
\(373\) | − | 1.76921i | − | 0.0916061i | −0.998950 | − | 0.0458030i | \(-0.985415\pi\) | ||
0.998950 | − | 0.0458030i | \(-0.0145847\pi\) | |||||||
\(374\) | 1.75050 | 0.0905161 | ||||||||
\(375\) | −9.90624 | − | 5.18328i | −0.511556 | − | 0.267664i | ||||
\(376\) | 31.8431i | 1.64218i | ||||||||
\(377\) | − | 10.5709i | − | 0.544431i | ||||||
\(378\) | −2.39383 | −0.123125 | ||||||||
\(379\) | 0.0747528 | 0.00383979 | 0.00191990 | − | 0.999998i | \(-0.499389\pi\) | ||||
0.00191990 | + | 0.999998i | \(0.499389\pi\) | |||||||
\(380\) | −1.45388 | − | 0.235651i | −0.0745823 | − | 0.0120886i | ||||
\(381\) | −10.2955 | −0.527452 | ||||||||
\(382\) | − | 12.4341i | − | 0.636182i | ||||||
\(383\) | −8.19560 | −0.418776 | −0.209388 | − | 0.977833i | \(-0.567147\pi\) | ||||
−0.209388 | + | 0.977833i | \(0.567147\pi\) | |||||||
\(384\) | 12.6088i | 0.643438i | ||||||||
\(385\) | −0.624413 | − | 0.101208i | −0.0318230 | − | 0.00515803i | ||||
\(386\) | −11.2761 | −0.573941 | ||||||||
\(387\) | 9.32564 | 0.474049 | ||||||||
\(388\) | −1.13609 | −0.0576763 | ||||||||
\(389\) | 31.3597i | 1.59000i | 0.606610 | + | 0.795000i | \(0.292529\pi\) | ||||
−0.606610 | + | 0.795000i | \(0.707471\pi\) | |||||||
\(390\) | 14.0406 | + | 2.27577i | 0.710975 | + | 0.115238i | ||||
\(391\) | −44.8899 | −2.27018 | ||||||||
\(392\) | 11.7456 | 0.593243 | ||||||||
\(393\) | −15.1552 | −0.764476 | ||||||||
\(394\) | − | 30.1508i | − | 1.51898i | ||||||
\(395\) | 34.0235 | + | 5.51470i | 1.71191 | + | 0.277474i | ||||
\(396\) | 0.0317954 | 0.00159778 | ||||||||
\(397\) | − | 11.5467i | − | 0.579513i | −0.957100 | − | 0.289757i | \(-0.906426\pi\) | ||
0.957100 | − | 0.289757i | \(-0.0935743\pi\) | |||||||
\(398\) | − | 13.8526i | − | 0.694366i | ||||||
\(399\) | − | 5.86040i | − | 0.293387i | ||||||
\(400\) | 20.5468 | + | 6.84034i | 1.02734 | + | 0.342017i | ||||
\(401\) | − | 11.4067i | − | 0.569622i | −0.958584 | − | 0.284811i | \(-0.908069\pi\) | ||
0.958584 | − | 0.284811i | \(-0.0919309\pi\) | |||||||
\(402\) | −3.01449 | −0.150349 | ||||||||
\(403\) | − | 26.6262i | − | 1.32635i | ||||||
\(404\) | 0.297778 | 0.0148150 | ||||||||
\(405\) | −0.357763 | + | 2.20726i | −0.0177774 | + | 0.109680i | ||||
\(406\) | −5.87644 | −0.291643 | ||||||||
\(407\) | −0.176640 | − | 1.04706i | −0.00875572 | − | 0.0519011i | ||||
\(408\) | − | 18.2287i | − | 0.902457i | ||||||
\(409\) | − | 11.6247i | − | 0.574805i | −0.957810 | − | 0.287403i | \(-0.907208\pi\) | ||
0.957810 | − | 0.287403i | \(-0.0927918\pi\) | |||||||
\(410\) | 6.12781 | − | 37.8062i | 0.302631 | − | 1.86712i | ||||
\(411\) | −14.4532 | −0.712923 | ||||||||
\(412\) | −2.69622 | −0.132833 | ||||||||
\(413\) | 4.87759 | 0.240011 | ||||||||
\(414\) | −9.76866 | −0.480104 | ||||||||
\(415\) | −24.0089 | − | 3.89147i | −1.17855 | − | 0.191025i | ||||
\(416\) | −4.42335 | −0.216873 | ||||||||
\(417\) | 1.59000i | 0.0778628i | ||||||||
\(418\) | 0.932572i | 0.0456136i | ||||||||
\(419\) | 23.3160 | 1.13906 | 0.569532 | − | 0.821969i | \(-0.307125\pi\) | ||||
0.569532 | + | 0.821969i | \(0.307125\pi\) | |||||||
\(420\) | 0.105596 | − | 0.651484i | 0.00515254 | − | 0.0317892i | ||||
\(421\) | − | 12.1803i | − | 0.593633i | −0.954935 | − | 0.296816i | \(-0.904075\pi\) | ||
0.954935 | − | 0.296816i | \(-0.0959249\pi\) | |||||||
\(422\) | 3.24521 | 0.157974 | ||||||||
\(423\) | − | 11.8580i | − | 0.576558i | ||||||
\(424\) | 14.6929i | 0.713550i | ||||||||
\(425\) | −32.2033 | − | 10.7210i | −1.56209 | − | 0.520044i | ||||
\(426\) | − | 16.2872i | − | 0.789116i | ||||||
\(427\) | 18.5893 | 0.899601 | ||||||||
\(428\) | 0.674917i | 0.0326234i | ||||||||
\(429\) | − | 0.751723i | − | 0.0362935i | ||||||
\(430\) | −4.92851 | + | 30.4070i | −0.237674 | + | 1.46636i | ||||
\(431\) | 13.7069i | 0.660238i | 0.943939 | + | 0.330119i | \(0.107089\pi\) | ||||
−0.943939 | + | 0.330119i | \(0.892911\pi\) | |||||||
\(432\) | − | 4.33110i | − | 0.208380i | ||||||
\(433\) | − | 0.286467i | − | 0.0137667i | −0.999976 | − | 0.00688337i | \(-0.997809\pi\) | ||
0.999976 | − | 0.00688337i | \(-0.00219106\pi\) | |||||||
\(434\) | −14.8017 | −0.710502 | ||||||||
\(435\) | −0.878248 | + | 5.41845i | −0.0421088 | + | 0.259795i | ||||
\(436\) | − | 1.64457i | − | 0.0787609i | ||||||
\(437\) | − | 23.9149i | − | 1.14401i | ||||||
\(438\) | 10.5901 | 0.506016 | ||||||||
\(439\) | − | 20.9601i | − | 1.00037i | −0.865918 | − | 0.500186i | \(-0.833265\pi\) | ||
0.865918 | − | 0.500186i | \(-0.166735\pi\) | |||||||
\(440\) | 0.167712 | − | 1.03472i | 0.00799536 | − | 0.0493283i | ||||
\(441\) | −4.37395 | −0.208283 | ||||||||
\(442\) | 43.1804 | 2.05388 | ||||||||
\(443\) | 26.4686i | 1.25756i | 0.777583 | + | 0.628781i | \(0.216446\pi\) | ||||
−0.777583 | + | 0.628781i | \(0.783554\pi\) | |||||||
\(444\) | 1.09246 | − | 0.184298i | 0.0518459 | − | 0.00874641i | ||||
\(445\) | −29.5847 | − | 4.79523i | −1.40245 | − | 0.227316i | ||||
\(446\) | − | 18.2900i | − | 0.866059i | ||||||
\(447\) | 12.7220i | 0.601730i | ||||||||
\(448\) | − | 11.5782i | − | 0.547019i | ||||||
\(449\) | − | 29.1827i | − | 1.37722i | −0.725133 | − | 0.688609i | \(-0.758222\pi\) | ||
0.725133 | − | 0.688609i | \(-0.241778\pi\) | |||||||
\(450\) | −7.00788 | − | 2.33303i | −0.330355 | − | 0.109980i | ||||
\(451\) | −2.02411 | −0.0953117 | ||||||||
\(452\) | 2.25899 | 0.106254 | ||||||||
\(453\) | − | 16.8436i | − | 0.791383i | ||||||
\(454\) | −2.80696 | −0.131737 | ||||||||
\(455\) | −15.4027 | − | 2.49654i | −0.722091 | − | 0.117040i | ||||
\(456\) | 9.71130 | 0.454773 | ||||||||
\(457\) | 17.4278 | 0.815238 | 0.407619 | − | 0.913152i | \(-0.366359\pi\) | ||||
0.407619 | + | 0.913152i | \(0.366359\pi\) | |||||||
\(458\) | 7.49944 | 0.350426 | ||||||||
\(459\) | 6.78820i | 0.316846i | ||||||||
\(460\) | 0.430912 | − | 2.65856i | 0.0200914 | − | 0.123956i | ||||
\(461\) | 11.4065i | 0.531256i | 0.964076 | + | 0.265628i | \(0.0855793\pi\) | ||||
−0.964076 | + | 0.265628i | \(0.914421\pi\) | |||||||
\(462\) | −0.417887 | −0.0194419 | ||||||||
\(463\) | −13.0363 | −0.605847 | −0.302923 | − | 0.953015i | \(-0.597963\pi\) | ||||
−0.302923 | + | 0.953015i | \(0.597963\pi\) | |||||||
\(464\) | − | 10.6321i | − | 0.493584i | ||||||
\(465\) | −2.21214 | + | 13.6481i | −0.102586 | + | 0.632914i | ||||
\(466\) | − | 0.563144i | − | 0.0260872i | ||||||
\(467\) | −14.2125 | −0.657677 | −0.328839 | − | 0.944386i | \(-0.606657\pi\) | ||||
−0.328839 | + | 0.944386i | \(0.606657\pi\) | |||||||
\(468\) | 0.784314 | 0.0362549 | ||||||||
\(469\) | 3.30692 | 0.152700 | ||||||||
\(470\) | 38.6641 | + | 6.26686i | 1.78344 | + | 0.289069i | ||||
\(471\) | −11.9808 | −0.552046 | ||||||||
\(472\) | 8.08269i | 0.372036i | ||||||||
\(473\) | 1.62796 | 0.0748539 | ||||||||
\(474\) | 22.7702 | 1.04587 | ||||||||
\(475\) | 5.71156 | − | 17.1562i | 0.262064 | − | 0.787180i | ||||
\(476\) | − | 2.00357i | − | 0.0918335i | ||||||
\(477\) | − | 5.47148i | − | 0.250522i | ||||||
\(478\) | − | 3.82833i | − | 0.175104i | ||||||
\(479\) | − | 24.8239i | − | 1.13423i | −0.823638 | − | 0.567116i | \(-0.808059\pi\) | ||
0.823638 | − | 0.567116i | \(-0.191941\pi\) | |||||||
\(480\) | 2.26732 | + | 0.367499i | 0.103489 | + | 0.0167739i | ||||
\(481\) | −4.35727 | − | 25.8285i | −0.198674 | − | 1.17768i | ||||
\(482\) | 1.60946i | 0.0733087i | ||||||||
\(483\) | 10.7163 | 0.487610 | ||||||||
\(484\) | −1.99796 | −0.0908162 | ||||||||
\(485\) | 2.23157 | − | 13.7679i | 0.101330 | − | 0.625169i | ||||
\(486\) | 1.47721i | 0.0670074i | ||||||||
\(487\) | −11.1773 | −0.506490 | −0.253245 | − | 0.967402i | \(-0.581498\pi\) | ||||
−0.253245 | + | 0.967402i | \(0.581498\pi\) | |||||||
\(488\) | 30.8045i | 1.39445i | ||||||||
\(489\) | 5.71059i | 0.258242i | ||||||||
\(490\) | 2.31159 | − | 14.2616i | 0.104427 | − | 0.644274i | ||||
\(491\) | 3.03944 | 0.137168 | 0.0685840 | − | 0.997645i | \(-0.478152\pi\) | ||||
0.0685840 | + | 0.997645i | \(0.478152\pi\) | |||||||
\(492\) | − | 2.11187i | − | 0.0952104i | ||||||
\(493\) | 16.6639i | 0.750503i | ||||||||
\(494\) | 23.0042i | 1.03501i | ||||||||
\(495\) | −0.0624543 | + | 0.385319i | −0.00280711 | + | 0.0173188i | ||||
\(496\) | − | 26.7803i | − | 1.20247i | ||||||
\(497\) | 17.8672i | 0.801453i | ||||||||
\(498\) | −16.0679 | −0.720020 | ||||||||
\(499\) | − | 20.1551i | − | 0.902265i | −0.892457 | − | 0.451132i | \(-0.851020\pi\) | ||
0.892457 | − | 0.451132i | \(-0.148980\pi\) | |||||||
\(500\) | 0.944068 | − | 1.80429i | 0.0422200 | − | 0.0806905i | ||||
\(501\) | − | 11.3389i | − | 0.506584i | ||||||
\(502\) | 25.9197i | 1.15685i | ||||||||
\(503\) | −0.743522 | −0.0331520 | −0.0165760 | − | 0.999863i | \(-0.505277\pi\) | ||||
−0.0165760 | + | 0.999863i | \(0.505277\pi\) | |||||||
\(504\) | 4.35165i | 0.193838i | ||||||||
\(505\) | −0.584912 | + | 3.60868i | −0.0260283 | + | 0.160584i | ||||
\(506\) | −1.70530 | −0.0758099 | ||||||||
\(507\) | − | 5.54314i | − | 0.246180i | ||||||
\(508\) | − | 1.87518i | − | 0.0831979i | ||||||
\(509\) | 19.9428 | 0.883949 | 0.441974 | − | 0.897028i | \(-0.354278\pi\) | ||||
0.441974 | + | 0.897028i | \(0.354278\pi\) | |||||||
\(510\) | −22.1335 | − | 3.58750i | −0.980086 | − | 0.158857i | ||||
\(511\) | −11.6175 | −0.513927 | ||||||||
\(512\) | 18.8122 | 0.831388 | ||||||||
\(513\) | −3.61639 | −0.159667 | ||||||||
\(514\) | −1.04038 | −0.0458892 | ||||||||
\(515\) | 5.29606 | − | 32.6746i | 0.233372 | − | 1.43982i | ||||
\(516\) | 1.69854i | 0.0747742i | ||||||||
\(517\) | − | 2.07004i | − | 0.0910404i | ||||||
\(518\) | −14.3582 | + | 2.42223i | −0.630863 | + | 0.106427i | ||||
\(519\) | 1.44520 | 0.0634372 | ||||||||
\(520\) | 4.13704 | − | 25.5239i | 0.181421 | − | 1.11930i | ||||
\(521\) | 3.97783 | 0.174272 | 0.0871359 | − | 0.996196i | \(-0.472229\pi\) | ||||
0.0871359 | + | 0.996196i | \(0.472229\pi\) | |||||||
\(522\) | 3.62629i | 0.158718i | ||||||||
\(523\) | 24.7110 | 1.08054 | 0.540268 | − | 0.841493i | \(-0.318323\pi\) | ||||
0.540268 | + | 0.841493i | \(0.318323\pi\) | |||||||
\(524\) | − | 2.76032i | − | 0.120585i | ||||||
\(525\) | 7.68772 | + | 2.55936i | 0.335520 | + | 0.111700i | ||||
\(526\) | 3.55921i | 0.155189i | ||||||||
\(527\) | 41.9732i | 1.82838i | ||||||||
\(528\) | − | 0.756074i | − | 0.0329039i | ||||||
\(529\) | 20.7309 | 0.901342 | ||||||||
\(530\) | 17.8402 | + | 2.89162i | 0.774929 | + | 0.125604i | ||||
\(531\) | − | 3.00991i | − | 0.130619i | ||||||
\(532\) | 1.06740 | 0.0462775 | ||||||||
\(533\) | −49.9298 | −2.16270 | ||||||||
\(534\) | −19.7995 | −0.856810 | ||||||||
\(535\) | −8.17911 | − | 1.32571i | −0.353614 | − | 0.0573154i | ||||
\(536\) | 5.47992i | 0.236697i | ||||||||
\(537\) | 5.34851 | 0.230805 | ||||||||
\(538\) | 46.2188 | 1.99263 | ||||||||
\(539\) | −0.763554 | −0.0328886 | ||||||||
\(540\) | −0.402024 | − | 0.0651620i | −0.0173004 | − | 0.00280412i | ||||
\(541\) | 20.7204i | 0.890840i | 0.895322 | + | 0.445420i | \(0.146946\pi\) | ||||
−0.895322 | + | 0.445420i | \(0.853054\pi\) | |||||||
\(542\) | 1.67185 | 0.0718121 | ||||||||
\(543\) | − | 20.3928i | − | 0.875138i | ||||||
\(544\) | 6.97291 | 0.298961 | ||||||||
\(545\) | 19.9301 | + | 3.23036i | 0.853711 | + | 0.138373i | ||||
\(546\) | −10.3082 | −0.441152 | ||||||||
\(547\) | −24.9724 | −1.06774 | −0.533872 | − | 0.845565i | \(-0.679264\pi\) | ||||
−0.533872 | + | 0.845565i | \(0.679264\pi\) | |||||||
\(548\) | − | 2.63246i | − | 0.112453i | ||||||
\(549\) | − | 11.4713i | − | 0.489583i | ||||||
\(550\) | −1.22336 | − | 0.407274i | −0.0521641 | − | 0.0173662i | ||||
\(551\) | −8.87762 | −0.378199 | ||||||||
\(552\) | 17.7581i | 0.755834i | ||||||||
\(553\) | −24.9791 | −1.06222 | ||||||||
\(554\) | 1.70083 | 0.0722613 | ||||||||
\(555\) | 0.0875839 | + | 13.6012i | 0.00371773 | + | 0.577338i | ||||
\(556\) | −0.289599 | −0.0122817 | ||||||||
\(557\) | 26.3241 | 1.11539 | 0.557694 | − | 0.830047i | \(-0.311686\pi\) | ||||
0.557694 | + | 0.830047i | \(0.311686\pi\) | |||||||
\(558\) | 9.13395i | 0.386671i | ||||||||
\(559\) | 40.1578 | 1.69849 | ||||||||
\(560\) | −15.4919 | − | 2.51100i | −0.654651 | − | 0.106109i | ||||
\(561\) | 1.18501i | 0.0500310i | ||||||||
\(562\) | − | 23.2600i | − | 0.981165i | ||||||
\(563\) | −4.99738 | −0.210615 | −0.105307 | − | 0.994440i | \(-0.533583\pi\) | ||||
−0.105307 | + | 0.994440i | \(0.533583\pi\) | |||||||
\(564\) | 2.15979 | 0.0909435 | ||||||||
\(565\) | −4.43724 | + | 27.3760i | −0.186676 | + | 1.15172i | ||||
\(566\) | −12.6373 | −0.531187 | ||||||||
\(567\) | − | 1.62051i | − | 0.0680550i | ||||||
\(568\) | −29.6078 | −1.24232 | ||||||||
\(569\) | − | 10.2365i | − | 0.429138i | −0.976709 | − | 0.214569i | \(-0.931165\pi\) | ||
0.976709 | − | 0.214569i | \(-0.0688347\pi\) | |||||||
\(570\) | 1.91123 | − | 11.7915i | 0.0800524 | − | 0.493893i | ||||
\(571\) | −36.3617 | −1.52169 | −0.760845 | − | 0.648933i | \(-0.775215\pi\) | ||||
−0.760845 | + | 0.648933i | \(0.775215\pi\) | |||||||
\(572\) | 0.136917 | 0.00572477 | ||||||||
\(573\) | 8.41729 | 0.351637 | ||||||||
\(574\) | 27.7563i | 1.15852i | ||||||||
\(575\) | 31.3718 | + | 10.4442i | 1.30830 | + | 0.435552i | ||||
\(576\) | −7.14480 | −0.297700 | ||||||||
\(577\) | −32.0573 | −1.33456 | −0.667281 | − | 0.744806i | \(-0.732542\pi\) | ||||
−0.667281 | + | 0.744806i | \(0.732542\pi\) | |||||||
\(578\) | −42.9566 | −1.78676 | ||||||||
\(579\) | − | 7.63343i | − | 0.317234i | ||||||
\(580\) | −0.986901 | − | 0.159962i | −0.0409789 | − | 0.00664204i | ||||
\(581\) | 17.6267 | 0.731277 | ||||||||
\(582\) | − | 9.21416i | − | 0.381939i | ||||||
\(583\) | − | 0.955149i | − | 0.0395582i | ||||||
\(584\) | − | 19.2514i | − | 0.796628i | ||||||
\(585\) | −1.54059 | + | 9.50486i | −0.0636956 | + | 0.392977i | ||||
\(586\) | 13.1163i | 0.541830i | ||||||||
\(587\) | −16.8055 | −0.693637 | −0.346818 | − | 0.937932i | \(-0.612738\pi\) | ||||
−0.346818 | + | 0.937932i | \(0.612738\pi\) | |||||||
\(588\) | − | 0.796658i | − | 0.0328536i | ||||||
\(589\) | −22.3611 | −0.921372 | ||||||||
\(590\) | 9.81405 | + | 1.59071i | 0.404038 | + | 0.0654884i | ||||
\(591\) | 20.4107 | 0.839584 | ||||||||
\(592\) | −4.38249 | − | 25.9780i | −0.180119 | − | 1.06769i | ||||
\(593\) | 43.2235i | 1.77498i | 0.460832 | + | 0.887488i | \(0.347551\pi\) | ||||
−0.460832 | + | 0.887488i | \(0.652449\pi\) | |||||||
\(594\) | 0.257874i | 0.0105807i | ||||||||
\(595\) | 24.2806 | + | 3.93552i | 0.995409 | + | 0.161341i | ||||
\(596\) | −2.31715 | −0.0949141 | ||||||||
\(597\) | 9.37755 | 0.383797 | ||||||||
\(598\) | −42.0656 | −1.72019 | ||||||||
\(599\) | −19.8867 | −0.812549 | −0.406274 | − | 0.913751i | \(-0.633172\pi\) | ||||
−0.406274 | + | 0.913751i | \(0.633172\pi\) | |||||||
\(600\) | −4.24113 | + | 12.7394i | −0.173144 | + | 0.520082i | ||||
\(601\) | −12.5839 | −0.513309 | −0.256655 | − | 0.966503i | \(-0.582620\pi\) | ||||
−0.256655 | + | 0.966503i | \(0.582620\pi\) | |||||||
\(602\) | − | 22.3240i | − | 0.909857i | ||||||
\(603\) | − | 2.04067i | − | 0.0831024i | ||||||
\(604\) | 3.06785 | 0.124829 | ||||||||
\(605\) | 3.92449 | − | 24.2126i | 0.159553 | − | 0.984383i | ||||
\(606\) | 2.41510i | 0.0981069i | ||||||||
\(607\) | −23.2592 | −0.944062 | −0.472031 | − | 0.881582i | \(-0.656479\pi\) | ||||
−0.472031 | + | 0.881582i | \(0.656479\pi\) | |||||||
\(608\) | 3.71479i | 0.150655i | ||||||||
\(609\) | − | 3.97808i | − | 0.161200i | ||||||
\(610\) | 37.4031 | + | 6.06246i | 1.51441 | + | 0.245462i | ||||
\(611\) | − | 51.0628i | − | 2.06578i | ||||||
\(612\) | −1.23638 | −0.0499778 | ||||||||
\(613\) | − | 11.0844i | − | 0.447696i | −0.974624 | − | 0.223848i | \(-0.928138\pi\) | ||
0.974624 | − | 0.223848i | \(-0.0718619\pi\) | |||||||
\(614\) | − | 13.6973i | − | 0.552776i | ||||||
\(615\) | 25.5931 | + | 4.14824i | 1.03201 | + | 0.167273i | ||||
\(616\) | 0.759662i | 0.0306076i | ||||||||
\(617\) | 41.4784i | 1.66986i | 0.550358 | + | 0.834929i | \(0.314491\pi\) | ||||
−0.550358 | + | 0.834929i | \(0.685509\pi\) | |||||||
\(618\) | − | 21.8674i | − | 0.879638i | ||||||
\(619\) | −0.380216 | −0.0152822 | −0.00764109 | − | 0.999971i | \(-0.502432\pi\) | ||||
−0.00764109 | + | 0.999971i | \(0.502432\pi\) | |||||||
\(620\) | −2.48582 | − | 0.402913i | −0.0998330 | − | 0.0161814i | ||||
\(621\) | − | 6.61293i | − | 0.265368i | ||||||
\(622\) | 44.9907i | 1.80396i | ||||||||
\(623\) | 21.7203 | 0.870205 | ||||||||
\(624\) | − | 18.6505i | − | 0.746617i | ||||||
\(625\) | 20.0113 | + | 14.9850i | 0.800451 | + | 0.599398i | ||||
\(626\) | −14.5977 | −0.583441 | ||||||||
\(627\) | −0.631308 | −0.0252120 | ||||||||
\(628\) | − | 2.18215i | − | 0.0870772i | ||||||
\(629\) | 6.86874 | + | 40.7157i | 0.273875 | + | 1.62344i | ||||
\(630\) | 5.28380 | + | 0.856424i | 0.210512 | + | 0.0341207i | ||||
\(631\) | − | 47.5960i | − | 1.89477i | −0.320103 | − | 0.947383i | \(-0.603717\pi\) | ||
0.320103 | − | 0.947383i | \(-0.396283\pi\) | |||||||
\(632\) | − | 41.3931i | − | 1.64653i | ||||||
\(633\) | 2.19686i | 0.0873172i | ||||||||
\(634\) | 30.5579i | 1.21361i | ||||||||
\(635\) | 22.7248 | + | 3.68334i | 0.901805 | + | 0.146169i | ||||
\(636\) | 0.996560 | 0.0395162 | ||||||||
\(637\) | −18.8350 | −0.746269 | ||||||||
\(638\) | 0.633037i | 0.0250622i | ||||||||
\(639\) | 11.0257 | 0.436168 | ||||||||
\(640\) | 4.51095 | − | 27.8308i | 0.178311 | − | 1.10011i | ||||
\(641\) | −4.84843 | −0.191501 | −0.0957507 | − | 0.995405i | \(-0.530525\pi\) | ||||
−0.0957507 | + | 0.995405i | \(0.530525\pi\) | |||||||
\(642\) | −5.47385 | −0.216036 | ||||||||
\(643\) | 1.05850 | 0.0417432 | 0.0208716 | − | 0.999782i | \(-0.493356\pi\) | ||||
0.0208716 | + | 0.999782i | \(0.493356\pi\) | |||||||
\(644\) | 1.95184i | 0.0769133i | ||||||||
\(645\) | −20.5841 | − | 3.33637i | −0.810499 | − | 0.131369i | ||||
\(646\) | − | 36.2636i | − | 1.42677i | ||||||
\(647\) | 26.1608 | 1.02849 | 0.514245 | − | 0.857644i | \(-0.328072\pi\) | ||||
0.514245 | + | 0.857644i | \(0.328072\pi\) | |||||||
\(648\) | 2.68536 | 0.105491 | ||||||||
\(649\) | − | 0.525436i | − | 0.0206252i | ||||||
\(650\) | −30.1772 | − | 10.0464i | −1.18365 | − | 0.394054i | ||||
\(651\) | − | 10.0200i | − | 0.392716i | ||||||
\(652\) | −1.04011 | −0.0407338 | ||||||||
\(653\) | −19.8982 | −0.778678 | −0.389339 | − | 0.921095i | \(-0.627297\pi\) | ||||
−0.389339 | + | 0.921095i | \(0.627297\pi\) | |||||||
\(654\) | 13.3382 | 0.521564 | ||||||||
\(655\) | 33.4514 | + | 5.42196i | 1.30705 | + | 0.211853i | ||||
\(656\) | −50.2188 | −1.96072 | ||||||||
\(657\) | 7.16903i | 0.279690i | ||||||||
\(658\) | −28.3861 | −1.10661 | ||||||||
\(659\) | −20.2165 | −0.787522 | −0.393761 | − | 0.919213i | \(-0.628826\pi\) | ||||
−0.393761 | + | 0.919213i | \(0.628826\pi\) | |||||||
\(660\) | −0.0701808 | − | 0.0113752i | −0.00273179 | − | 0.000442781i | ||||
\(661\) | 16.2597i | 0.632428i | 0.948688 | + | 0.316214i | \(0.102412\pi\) | ||||
−0.948688 | + | 0.316214i | \(0.897588\pi\) | |||||||
\(662\) | − | 17.9424i | − | 0.697353i | ||||||
\(663\) | 29.2312i | 1.13524i | ||||||||
\(664\) | 29.2092i | 1.13354i | ||||||||
\(665\) | −2.09663 | + | 12.9354i | −0.0813040 | + | 0.501614i | ||||
\(666\) | 1.49473 | + | 8.86030i | 0.0579198 | + | 0.343329i | ||||
\(667\) | − | 16.2336i | − | 0.628569i | ||||||
\(668\) | 2.06523 | 0.0799062 | ||||||||
\(669\) | 12.3815 | 0.478697 | ||||||||
\(670\) | 6.65376 | + | 1.07847i | 0.257057 | + | 0.0416650i | ||||
\(671\) | − | 2.00253i | − | 0.0773067i | ||||||
\(672\) | −1.66461 | −0.0642136 | ||||||||
\(673\) | 25.6780i | 0.989814i | 0.868946 | + | 0.494907i | \(0.164798\pi\) | ||||
−0.868946 | + | 0.494907i | \(0.835202\pi\) | |||||||
\(674\) | − | 21.2304i | − | 0.817764i | ||||||
\(675\) | 1.57935 | − | 4.74401i | 0.0607894 | − | 0.182597i | ||||
\(676\) | 1.00961 | 0.0388312 | ||||||||
\(677\) | 24.8858i | 0.956438i | 0.878241 | + | 0.478219i | \(0.158717\pi\) | ||||
−0.878241 | + | 0.478219i | \(0.841283\pi\) | |||||||
\(678\) | 18.3214i | 0.703628i | ||||||||
\(679\) | 10.1080i | 0.387910i | ||||||||
\(680\) | −6.52157 | + | 40.2356i | −0.250091 | + | 1.54296i | ||||
\(681\) | − | 1.90018i | − | 0.0728151i | ||||||
\(682\) | 1.59450i | 0.0610566i | ||||||||
\(683\) | 14.0761 | 0.538606 | 0.269303 | − | 0.963055i | \(-0.413207\pi\) | ||||
0.269303 | + | 0.963055i | \(0.413207\pi\) | |||||||
\(684\) | − | 0.658679i | − | 0.0251852i | ||||||
\(685\) | 31.9020 | + | 5.17082i | 1.21891 | + | 0.197567i | ||||
\(686\) | 27.2273i | 1.03954i | ||||||||
\(687\) | 5.07678i | 0.193691i | ||||||||
\(688\) | 40.3903 | 1.53986 | ||||||||
\(689\) | − | 23.5612i | − | 0.897609i | ||||||
\(690\) | 21.5620 | + | 3.49487i | 0.820851 | + | 0.133047i | ||||
\(691\) | 46.6637 | 1.77517 | 0.887586 | − | 0.460642i | \(-0.152381\pi\) | ||||
0.887586 | + | 0.460642i | \(0.152381\pi\) | |||||||
\(692\) | 0.263224i | 0.0100063i | ||||||||
\(693\) | − | 0.282890i | − | 0.0107461i | ||||||
\(694\) | −11.8247 | −0.448860 | ||||||||
\(695\) | 0.568845 | − | 3.50955i | 0.0215775 | − | 0.133125i | ||||
\(696\) | 6.59210 | 0.249873 | ||||||||
\(697\) | 78.7087 | 2.98131 | ||||||||
\(698\) | 24.5694 | 0.929964 | ||||||||
\(699\) | 0.381223 | 0.0144192 | ||||||||
\(700\) | −0.466155 | + | 1.40022i | −0.0176190 | + | 0.0529233i | ||||
\(701\) | 36.6906i | 1.38578i | 0.721041 | + | 0.692892i | \(0.243664\pi\) | ||||
−0.721041 | + | 0.692892i | \(0.756336\pi\) | |||||||
\(702\) | 6.36111i | 0.240085i | ||||||||
\(703\) | −21.6911 | + | 3.65930i | −0.818097 | + | 0.138013i | ||||
\(704\) | −1.24726 | −0.0470078 | ||||||||
\(705\) | −4.24237 | + | 26.1738i | −0.159777 | + | 0.985762i | ||||
\(706\) | 1.32468 | 0.0498551 | ||||||||
\(707\) | − | 2.64939i | − | 0.0996407i | ||||||
\(708\) | 0.548216 | 0.0206032 | ||||||||
\(709\) | 0.467718i | 0.0175655i | 0.999961 | + | 0.00878275i | \(0.00279567\pi\) | ||||
−0.999961 | + | 0.00878275i | \(0.997204\pi\) | |||||||
\(710\) | −5.82695 | + | 35.9501i | −0.218682 | + | 1.34918i | ||||
\(711\) | 15.4144i | 0.578084i | ||||||||
\(712\) | 35.9928i | 1.34889i | ||||||||
\(713\) | − | 40.8895i | − | 1.53132i | ||||||
\(714\) | 16.2498 | 0.608132 | ||||||||
\(715\) | −0.268939 | + | 1.65925i | −0.0100577 | + | 0.0620524i | ||||
\(716\) | 0.974162i | 0.0364061i | ||||||||
\(717\) | 2.59160 | 0.0967851 | ||||||||
\(718\) | −45.4036 | −1.69445 | ||||||||
\(719\) | 2.90651 | 0.108394 | 0.0541972 | − | 0.998530i | \(-0.482740\pi\) | ||||
0.0541972 | + | 0.998530i | \(0.482740\pi\) | |||||||
\(720\) | −1.54951 | + | 9.55987i | −0.0577468 | + | 0.356275i | ||||
\(721\) | 23.9888i | 0.893390i | ||||||||
\(722\) | −8.74762 | −0.325553 | ||||||||
\(723\) | −1.08953 | −0.0405199 | ||||||||
\(724\) | 3.71428 | 0.138040 | ||||||||
\(725\) | 3.87705 | − | 11.6457i | 0.143990 | − | 0.432512i | ||||
\(726\) | − | 16.2042i | − | 0.601396i | ||||||
\(727\) | −38.4833 | −1.42727 | −0.713633 | − | 0.700520i | \(-0.752951\pi\) | ||||
−0.713633 | + | 0.700520i | \(0.752951\pi\) | |||||||
\(728\) | 18.7390i | 0.694512i | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −23.3752 | − | 3.78876i | −0.865154 | − | 0.140228i | ||||
\(731\) | −63.3043 | −2.34139 | ||||||||
\(732\) | 2.08935 | 0.0772245 | ||||||||
\(733\) | 28.3333i | 1.04651i | 0.852175 | + | 0.523256i | \(0.175283\pi\) | ||||
−0.852175 | + | 0.523256i | \(0.824717\pi\) | |||||||
\(734\) | − | 54.1191i | − | 1.99757i | ||||||
\(735\) | 9.65445 | + | 1.56484i | 0.356110 | + | 0.0577199i | ||||
\(736\) | −6.79288 | −0.250389 | ||||||||
\(737\) | − | 0.356237i | − | 0.0131221i | ||||||
\(738\) | 17.1281 | 0.630494 | ||||||||
\(739\) | 18.1409 | 0.667324 | 0.333662 | − | 0.942693i | \(-0.391716\pi\) | ||||
0.333662 | + | 0.942693i | \(0.391716\pi\) | |||||||
\(740\) | −2.47728 | + | 0.0159523i | −0.0910667 | + | 0.000586418i | ||||
\(741\) | −15.5728 | −0.572081 | ||||||||
\(742\) | −13.0978 | −0.480835 | ||||||||
\(743\) | − | 13.1998i | − | 0.484255i | −0.970244 | − | 0.242127i | \(-0.922155\pi\) | ||
0.970244 | − | 0.242127i | \(-0.0778452\pi\) | |||||||
\(744\) | 16.6043 | 0.608742 | ||||||||
\(745\) | 4.55146 | − | 28.0808i | 0.166753 | − | 1.02880i | ||||
\(746\) | 2.61348i | 0.0956864i | ||||||||
\(747\) | − | 10.8772i | − | 0.397977i | ||||||
\(748\) | −0.215834 | −0.00789166 | ||||||||
\(749\) | 6.00488 | 0.219413 | ||||||||
\(750\) | 14.6336 | + | 7.65678i | 0.534342 | + | 0.279586i | ||||
\(751\) | −36.4942 | −1.33169 | −0.665845 | − | 0.746090i | \(-0.731929\pi\) | ||||
−0.665845 | + | 0.746090i | \(0.731929\pi\) | |||||||
\(752\) | − | 51.3584i | − | 1.87285i | ||||||
\(753\) | −17.5464 | −0.639428 | ||||||||
\(754\) | 15.6154i | 0.568681i | ||||||||
\(755\) | −6.02603 | + | 37.1783i | −0.219310 | + | 1.35306i | ||||
\(756\) | 0.295155 | 0.0107347 | ||||||||
\(757\) | 8.13828 | 0.295791 | 0.147895 | − | 0.989003i | \(-0.452750\pi\) | ||||
0.147895 | + | 0.989003i | \(0.452750\pi\) | |||||||
\(758\) | −0.110425 | −0.00401083 | ||||||||
\(759\) | − | 1.15441i | − | 0.0419025i | ||||||
\(760\) | −21.4354 | − | 3.47435i | −0.777543 | − | 0.126028i | ||||
\(761\) | 36.3100 | 1.31624 | 0.658118 | − | 0.752915i | \(-0.271353\pi\) | ||||
0.658118 | + | 0.752915i | \(0.271353\pi\) | |||||||
\(762\) | 15.2085 | 0.550946 | ||||||||
\(763\) | −14.6321 | −0.529718 | ||||||||
\(764\) | 1.53310i | 0.0554656i | ||||||||
\(765\) | 2.42857 | − | 14.9833i | 0.0878051 | − | 0.541723i | ||||
\(766\) | 12.1066 | 0.437429 | ||||||||
\(767\) | − | 12.9612i | − | 0.468002i | ||||||
\(768\) | − | 4.33614i | − | 0.156467i | ||||||
\(769\) | 19.5648i | 0.705526i | 0.935713 | + | 0.352763i | \(0.114758\pi\) | ||||
−0.935713 | + | 0.352763i | \(0.885242\pi\) | |||||||
\(770\) | 0.922387 | + | 0.149505i | 0.0332405 | + | 0.00538778i | ||||
\(771\) | − | 0.704289i | − | 0.0253643i | ||||||
\(772\) | 1.39033 | 0.0500391 | ||||||||
\(773\) | − | 37.4349i | − | 1.34644i | −0.739442 | − | 0.673221i | \(-0.764910\pi\) | ||
0.739442 | − | 0.673221i | \(-0.235090\pi\) | |||||||
\(774\) | −13.7759 | −0.495164 | ||||||||
\(775\) | 9.76556 | − | 29.3335i | 0.350789 | − | 1.05369i | ||||
\(776\) | −16.7501 | −0.601293 | ||||||||
\(777\) | −1.63974 | − | 9.71984i | −0.0588253 | − | 0.348697i | ||||
\(778\) | − | 46.3247i | − | 1.66082i | ||||||
\(779\) | 41.9318i | 1.50236i | ||||||||
\(780\) | −1.73119 | − | 0.280599i | −0.0619864 | − | 0.0100471i | ||||
\(781\) | 1.92474 | 0.0688724 | ||||||||
\(782\) | 66.3116 | 2.37130 | ||||||||
\(783\) | −2.45483 | −0.0877285 | ||||||||
\(784\) | −18.9440 | −0.676571 | ||||||||
\(785\) | 26.4448 | + | 4.28629i | 0.943855 | + | 0.152984i | ||||
\(786\) | 22.3873 | 0.798528 | ||||||||
\(787\) | − | 45.8917i | − | 1.63586i | −0.575315 | − | 0.817932i | \(-0.695121\pi\) | ||
0.575315 | − | 0.817932i | \(-0.304879\pi\) | |||||||
\(788\) | 3.71755i | 0.132432i | ||||||||
\(789\) | −2.40942 | −0.0857778 | ||||||||
\(790\) | −50.2598 | − | 8.14634i | −1.78816 | − | 0.289834i | ||||
\(791\) | − | 20.0987i | − | 0.714629i | ||||||
\(792\) | 0.468779 | 0.0166573 | ||||||||
\(793\) | − | 49.3974i | − | 1.75415i | ||||||
\(794\) | 17.0569i | 0.605326i | ||||||||
\(795\) | −1.95750 | + | 12.0770i | −0.0694252 | + | 0.428327i | ||||
\(796\) | 1.70800i | 0.0605384i | ||||||||
\(797\) | 25.6048 | 0.906968 | 0.453484 | − | 0.891264i | \(-0.350181\pi\) | ||||
0.453484 | + | 0.891264i | \(0.350181\pi\) | |||||||
\(798\) | 8.65701i | 0.306455i | ||||||||
\(799\) | 80.4947i | 2.84770i | ||||||||
\(800\) | −4.87310 | − | 1.62233i | −0.172290 | − | 0.0573581i | ||||
\(801\) | − | 13.4034i | − | 0.473585i | ||||||
\(802\) | 16.8500i | 0.594995i | ||||||||
\(803\) | 1.25149i | 0.0441640i | ||||||||
\(804\) | 0.371681 | 0.0131082 | ||||||||
\(805\) | −23.6537 | − | 3.83391i | −0.833685 | − | 0.135128i | ||||
\(806\) | 39.3324i | 1.38542i | ||||||||
\(807\) | 31.2880i | 1.10139i | ||||||||
\(808\) | 4.39033 | 0.154451 | ||||||||
\(809\) | 8.26091i | 0.290438i | 0.989400 | + | 0.145219i | \(0.0463887\pi\) | ||||
−0.989400 | + | 0.145219i | \(0.953611\pi\) | |||||||
\(810\) | 0.528490 | − | 3.26058i | 0.0185693 | − | 0.114565i | ||||
\(811\) | −24.8860 | −0.873866 | −0.436933 | − | 0.899494i | \(-0.643935\pi\) | ||||
−0.436933 | + | 0.899494i | \(0.643935\pi\) | |||||||
\(812\) | 0.724556 | 0.0254269 | ||||||||
\(813\) | 1.13176i | 0.0396927i | ||||||||
\(814\) | 0.260934 | + | 1.54673i | 0.00914572 | + | 0.0542129i | ||||
\(815\) | 2.04304 | − | 12.6048i | 0.0715645 | − | 0.441526i | ||||
\(816\) | 29.4004i | 1.02922i | ||||||||
\(817\) | − | 33.7251i | − | 1.17989i | ||||||
\(818\) | 17.1721i | 0.600408i | ||||||||
\(819\) | − | 6.97820i | − | 0.243838i | ||||||
\(820\) | −0.755549 | + | 4.66145i | −0.0263849 | + | 0.162785i | ||||
\(821\) | 12.4789 | 0.435517 | 0.217758 | − | 0.976003i | \(-0.430126\pi\) | ||||
0.217758 | + | 0.976003i | \(0.430126\pi\) | |||||||
\(822\) | 21.3503 | 0.744678 | ||||||||
\(823\) | − | 36.8738i | − | 1.28534i | −0.766143 | − | 0.642670i | \(-0.777827\pi\) | ||
0.766143 | − | 0.642670i | \(-0.222173\pi\) | |||||||
\(824\) | −39.7520 | −1.38483 | ||||||||
\(825\) | 0.275706 | − | 0.828156i | 0.00959885 | − | 0.0288327i | ||||
\(826\) | −7.20521 | −0.250701 | ||||||||
\(827\) | −19.2791 | −0.670401 | −0.335200 | − | 0.942147i | \(-0.608804\pi\) | ||||
−0.335200 | + | 0.942147i | \(0.608804\pi\) | |||||||
\(828\) | 1.20446 | 0.0418579 | ||||||||
\(829\) | − | 5.96225i | − | 0.207077i | −0.994625 | − | 0.103539i | \(-0.966983\pi\) | ||
0.994625 | − | 0.103539i | \(-0.0330166\pi\) | |||||||
\(830\) | 35.4661 | + | 5.74850i | 1.23104 | + | 0.199534i | ||||
\(831\) | 1.15138i | 0.0399410i | ||||||||
\(832\) | −30.7668 | −1.06665 | ||||||||
\(833\) | 29.6912 | 1.02874 | ||||||||
\(834\) | − | 2.34876i | − | 0.0813310i | ||||||
\(835\) | −4.05664 | + | 25.0279i | −0.140386 | + | 0.866125i | ||||
\(836\) | − | 0.114985i | − | 0.00397683i | ||||||
\(837\) | −6.18326 | −0.213725 | ||||||||
\(838\) | −34.4426 | −1.18980 | ||||||||
\(839\) | 42.1147 | 1.45396 | 0.726980 | − | 0.686659i | \(-0.240923\pi\) | ||||
0.726980 | + | 0.686659i | \(0.240923\pi\) | |||||||
\(840\) | 1.55686 | − | 9.60523i | 0.0537168 | − | 0.331412i | ||||
\(841\) | 22.9738 | 0.792200 | ||||||||
\(842\) | 17.9928i | 0.620074i | ||||||||
\(843\) | 15.7460 | 0.542320 | ||||||||
\(844\) | −0.400129 | −0.0137730 | ||||||||
\(845\) | −1.98313 | + | 12.2352i | −0.0682219 | + | 0.420903i | ||||
\(846\) | 17.5168i | 0.602239i | ||||||||
\(847\) | 17.7762i | 0.610798i | ||||||||
\(848\) | − | 23.6975i | − | 0.813777i | ||||||
\(849\) | − | 8.55489i | − | 0.293603i | ||||||
\(850\) | 47.5709 | + | 15.8371i | 1.63167 | + | 0.543207i | ||||
\(851\) | −6.69140 | − | 39.6644i | −0.229378 | − | 1.35968i | ||||
\(852\) | 2.00818i | 0.0687992i | ||||||||
\(853\) | 7.86345 | 0.269239 | 0.134620 | − | 0.990897i | \(-0.457019\pi\) | ||||
0.134620 | + | 0.990897i | \(0.457019\pi\) | |||||||
\(854\) | −27.4603 | −0.939672 | ||||||||
\(855\) | 7.98232 | + | 1.29381i | 0.272990 | + | 0.0442474i | ||||
\(856\) | 9.95072i | 0.340109i | ||||||||
\(857\) | −55.2541 | −1.88744 | −0.943721 | − | 0.330742i | \(-0.892701\pi\) | ||||
−0.943721 | + | 0.330742i | \(0.892701\pi\) | |||||||
\(858\) | 1.11045i | 0.0379101i | ||||||||
\(859\) | − | 26.5002i | − | 0.904176i | −0.891973 | − | 0.452088i | \(-0.850679\pi\) | ||
0.891973 | − | 0.452088i | \(-0.149321\pi\) | |||||||
\(860\) | 0.607677 | − | 3.74913i | 0.0207216 | − | 0.127844i | ||||
\(861\) | −18.7897 | −0.640352 | ||||||||
\(862\) | − | 20.2479i | − | 0.689647i | ||||||
\(863\) | 1.45128i | 0.0494020i | 0.999695 | + | 0.0247010i | \(0.00786338\pi\) | ||||
−0.999695 | + | 0.0247010i | \(0.992137\pi\) | |||||||
\(864\) | 1.02721i | 0.0349464i | ||||||||
\(865\) | −3.18993 | − | 0.517039i | −0.108461 | − | 0.0175799i | ||||
\(866\) | 0.423171i | 0.0143799i | ||||||||
\(867\) | − | 29.0796i | − | 0.987596i | ||||||
\(868\) | 1.82502 | 0.0619452 | ||||||||
\(869\) | 2.69087i | 0.0912814i | ||||||||
\(870\) | 1.29735 | − | 8.00417i | 0.0439844 | − | 0.271367i | ||||
\(871\) | − | 8.78747i | − | 0.297752i | ||||||
\(872\) | − | 24.2470i | − | 0.821106i | ||||||
\(873\) | 6.23756 | 0.211109 | ||||||||
\(874\) | 35.3273i | 1.19496i | ||||||||
\(875\) | −16.0532 | − | 8.39956i | −0.542696 | − | 0.283957i | ||||
\(876\) | −1.30575 | −0.0441170 | ||||||||
\(877\) | − | 1.34140i | − | 0.0452959i | −0.999744 | − | 0.0226480i | \(-0.992790\pi\) | ||
0.999744 | − | 0.0226480i | \(-0.00720969\pi\) | |||||||
\(878\) | 30.9624i | 1.04493i | ||||||||
\(879\) | −8.87914 | −0.299486 | ||||||||
\(880\) | −0.270496 | + | 1.66885i | −0.00911841 | + | 0.0562571i | ||||
\(881\) | −17.8018 | −0.599759 | −0.299879 | − | 0.953977i | \(-0.596946\pi\) | ||||
−0.299879 | + | 0.953977i | \(0.596946\pi\) | |||||||
\(882\) | 6.46122 | 0.217561 | ||||||||
\(883\) | 18.1336 | 0.610244 | 0.305122 | − | 0.952313i | \(-0.401303\pi\) | ||||
0.305122 | + | 0.952313i | \(0.401303\pi\) | |||||||
\(884\) | −5.32408 | −0.179068 | ||||||||
\(885\) | −1.07684 | + | 6.64366i | −0.0361974 | + | 0.223324i | ||||
\(886\) | − | 39.0996i | − | 1.31358i | ||||||
\(887\) | 29.6277i | 0.994800i | 0.867521 | + | 0.497400i | \(0.165712\pi\) | ||||
−0.867521 | + | 0.497400i | \(0.834288\pi\) | |||||||
\(888\) | 16.1068 | − | 2.71722i | 0.540509 | − | 0.0911840i | ||||
\(889\) | −16.6839 | −0.559560 | ||||||||
\(890\) | 43.7028 | + | 7.08355i | 1.46492 | + | 0.237441i | ||||
\(891\) | −0.174569 | −0.00584827 | ||||||||
\(892\) | 2.25513i | 0.0755074i | ||||||||
\(893\) | −42.8833 | −1.43503 | ||||||||
\(894\) | − | 18.7930i | − | 0.628532i | ||||||
\(895\) | −11.8056 | − | 1.91350i | −0.394616 | − | 0.0639613i | ||||
\(896\) | 20.4326i | 0.682606i | ||||||||
\(897\) | − | 28.4764i | − | 0.950801i | ||||||
\(898\) | 43.1089i | 1.43856i | ||||||||
\(899\) | −15.1789 | −0.506243 | ||||||||
\(900\) | 0.864060 | + | 0.287659i | 0.0288020 | + | 0.00958864i | ||||
\(901\) | 37.1415i | 1.23736i | ||||||||
\(902\) | 2.99003 | 0.0995571 | ||||||||
\(903\) | 15.1123 | 0.502906 | ||||||||
\(904\) | 33.3057 | 1.10773 | ||||||||
\(905\) | −7.29579 | + | 45.0122i | −0.242520 | + | 1.49626i | ||||
\(906\) | 24.8815i | 0.826633i | ||||||||
\(907\) | 30.5959 | 1.01592 | 0.507960 | − | 0.861381i | \(-0.330400\pi\) | ||||
0.507960 | + | 0.861381i | \(0.330400\pi\) | |||||||
\(908\) | 0.346093 | 0.0114855 | ||||||||
\(909\) | −1.63491 | −0.0542267 | ||||||||
\(910\) | 22.7530 | + | 3.68791i | 0.754254 | + | 0.122253i | ||||
\(911\) | 9.21700i | 0.305373i | 0.988275 | + | 0.152686i | \(0.0487924\pi\) | ||||
−0.988275 | + | 0.152686i | \(0.951208\pi\) | |||||||
\(912\) | −15.6629 | −0.518652 | ||||||||
\(913\) | − | 1.89882i | − | 0.0628418i | ||||||
\(914\) | −25.7444 | −0.851551 | ||||||||
\(915\) | −4.10401 | + | 25.3201i | −0.135674 | + | 0.837058i | ||||
\(916\) | −0.924669 | −0.0305519 | ||||||||
\(917\) | −24.5591 | −0.811012 | ||||||||
\(918\) | − | 10.0276i | − | 0.330959i | ||||||
\(919\) | 30.0268i | 0.990494i | 0.868752 | + | 0.495247i | \(0.164923\pi\) | ||||
−0.868752 | + | 0.495247i | \(0.835077\pi\) | |||||||
\(920\) | 6.35319 | − | 39.1968i | 0.209459 | − | 1.29228i | ||||
\(921\) | 9.27241 | 0.305536 | ||||||||
\(922\) | − | 16.8498i | − | 0.554919i | ||||||
\(923\) | 47.4784 | 1.56277 | ||||||||
\(924\) | 0.0515248 | 0.00169504 | ||||||||
\(925\) | 4.67269 | − | 30.0527i | 0.153637 | − | 0.988127i | ||||
\(926\) | 19.2572 | 0.632832 | ||||||||
\(927\) | 14.8032 | 0.486203 | ||||||||
\(928\) | 2.52163i | 0.0827765i | ||||||||
\(929\) | 13.5774 | 0.445458 | 0.222729 | − | 0.974880i | \(-0.428503\pi\) | ||||
0.222729 | + | 0.974880i | \(0.428503\pi\) | |||||||
\(930\) | 3.26779 | − | 20.1610i | 0.107155 | − | 0.661106i | ||||
\(931\) | 15.8179i | 0.518410i | ||||||||
\(932\) | 0.0694348i | 0.00227441i | ||||||||
\(933\) | −30.4567 | −0.997106 | ||||||||
\(934\) | 20.9948 | 0.686972 | ||||||||
\(935\) | 0.423952 | − | 2.61562i | 0.0138647 | − | 0.0855399i | ||||
\(936\) | 11.5636 | 0.377969 | ||||||||
\(937\) | − | 14.6712i | − | 0.479288i | −0.970861 | − | 0.239644i | \(-0.922969\pi\) | ||
0.970861 | − | 0.239644i | \(-0.0770307\pi\) | |||||||
\(938\) | −4.88501 | −0.159501 | ||||||||
\(939\) | − | 9.88196i | − | 0.322486i | ||||||
\(940\) | −4.76722 | − | 0.772693i | −0.155490 | − | 0.0252025i | ||||
\(941\) | −9.36196 | −0.305191 | −0.152596 | − | 0.988289i | \(-0.548763\pi\) | ||||
−0.152596 | + | 0.988289i | \(0.548763\pi\) | |||||||
\(942\) | 17.6981 | 0.576636 | ||||||||
\(943\) | −76.6765 | −2.49693 | ||||||||
\(944\) | − | 13.0362i | − | 0.424293i | ||||||
\(945\) | −0.579759 | + | 3.57689i | −0.0188596 | + | 0.116356i | ||||
\(946\) | −2.40484 | −0.0781880 | ||||||||
\(947\) | 34.2769 | 1.11385 | 0.556925 | − | 0.830563i | \(-0.311981\pi\) | ||||
0.556925 | + | 0.830563i | \(0.311981\pi\) | |||||||
\(948\) | −2.80753 | −0.0911843 | ||||||||
\(949\) | 30.8711i | 1.00212i | ||||||||
\(950\) | −8.43715 | + | 25.3432i | −0.273737 | + | 0.822243i | ||||
\(951\) | −20.6863 | −0.670799 | ||||||||
\(952\) | − | 29.5399i | − | 0.957392i | ||||||
\(953\) | − | 50.1895i | − | 1.62580i | −0.582405 | − | 0.812899i | \(-0.697888\pi\) | ||
0.582405 | − | 0.812899i | \(-0.302112\pi\) | |||||||
\(954\) | 8.08250i | 0.261681i | ||||||||
\(955\) | −18.5792 | − | 3.01140i | −0.601207 | − | 0.0974465i | ||||
\(956\) | 0.472026i | 0.0152664i | ||||||||
\(957\) | −0.428537 | −0.0138526 | ||||||||
\(958\) | 36.6700i | 1.18475i | ||||||||
\(959\) | −23.4215 | −0.756321 | ||||||||
\(960\) | 15.7704 | + | 2.55615i | 0.508989 | + | 0.0824993i | ||||
\(961\) | −7.23271 | −0.233313 | ||||||||
\(962\) | 6.43658 | + | 38.1540i | 0.207524 | + | 1.23013i | ||||
\(963\) | − | 3.70555i | − | 0.119410i | ||||||
\(964\) | − | 0.198443i | − | 0.00639143i | ||||||
\(965\) | −2.73096 | + | 16.8490i | −0.0879127 | + | 0.542388i | ||||
\(966\) | −15.8302 | −0.509329 | ||||||||
\(967\) | −38.1299 | −1.22618 | −0.613088 | − | 0.790015i | \(-0.710073\pi\) | ||||
−0.613088 | + | 0.790015i | \(0.710073\pi\) | |||||||
\(968\) | −29.4571 | −0.946787 | ||||||||
\(969\) | 24.5488 | 0.788620 | ||||||||
\(970\) | −3.29649 | + | 20.3381i | −0.105844 | + | 0.653016i | ||||
\(971\) | −2.96435 | −0.0951305 | −0.0475652 | − | 0.998868i | \(-0.515146\pi\) | ||||
−0.0475652 | + | 0.998868i | \(0.515146\pi\) | |||||||
\(972\) | − | 0.182137i | − | 0.00584205i | ||||||
\(973\) | 2.57662i | 0.0826026i | ||||||||
\(974\) | 16.5111 | 0.529050 | ||||||||
\(975\) | 6.80098 | − | 20.4285i | 0.217806 | − | 0.654237i | ||||
\(976\) | − | 49.6833i | − | 1.59032i | ||||||
\(977\) | −2.09963 | −0.0671731 | −0.0335866 | − | 0.999436i | \(-0.510693\pi\) | ||||
−0.0335866 | + | 0.999436i | \(0.510693\pi\) | |||||||
\(978\) | − | 8.43571i | − | 0.269744i | ||||||
\(979\) | − | 2.33981i | − | 0.0747806i | ||||||
\(980\) | −0.285015 | + | 1.75843i | −0.00910447 | + | 0.0561711i | ||||
\(981\) | 9.02932i | 0.288284i | ||||||||
\(982\) | −4.48988 | −0.143278 | ||||||||
\(983\) | 3.19301i | 0.101841i | 0.998703 | + | 0.0509207i | \(0.0162156\pi\) | ||||
−0.998703 | + | 0.0509207i | \(0.983784\pi\) | |||||||
\(984\) | − | 31.1366i | − | 0.992597i | ||||||
\(985\) | −45.0518 | − | 7.30220i | −1.43547 | − | 0.232668i | ||||
\(986\) | − | 24.6160i | − | 0.783932i | ||||||
\(987\) | − | 19.2161i | − | 0.611654i | ||||||
\(988\) | − | 2.83639i | − | 0.0902374i | ||||||
\(989\) | 61.6698 | 1.96099 | ||||||||
\(990\) | 0.0922578 | − | 0.569195i | 0.00293215 | − | 0.0180902i | ||||
\(991\) | 41.6277i | 1.32235i | 0.750233 | + | 0.661173i | \(0.229941\pi\) | ||||
−0.750233 | + | 0.661173i | \(0.770059\pi\) | |||||||
\(992\) | 6.35151i | 0.201661i | ||||||||
\(993\) | 12.1462 | 0.385448 | ||||||||
\(994\) | − | 26.3935i | − | 0.837152i | ||||||
\(995\) | −20.6987 | − | 3.35494i | −0.656193 | − | 0.106359i | ||||
\(996\) | 1.98115 | 0.0627750 | ||||||||
\(997\) | 35.9553 | 1.13872 | 0.569358 | − | 0.822090i | \(-0.307192\pi\) | ||||
0.569358 | + | 0.822090i | \(0.307192\pi\) | |||||||
\(998\) | 29.7732i | 0.942454i | ||||||||
\(999\) | −5.99801 | + | 1.01187i | −0.189769 | + | 0.0320140i |
(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 | 555.2.g.a.184.11 | ✓ | 40 | |
3.2 | odd | 2 | 1665.2.g.e.739.29 | 40 | |||
5.4 | even | 2 | inner | 555.2.g.a.184.30 | yes | 40 | |
15.14 | odd | 2 | 1665.2.g.e.739.12 | 40 | |||
37.36 | even | 2 | inner | 555.2.g.a.184.29 | yes | 40 | |
111.110 | odd | 2 | 1665.2.g.e.739.11 | 40 | |||
185.184 | even | 2 | inner | 555.2.g.a.184.12 | yes | 40 | |
555.554 | odd | 2 | 1665.2.g.e.739.30 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
555.2.g.a.184.11 | ✓ | 40 | 1.1 | even | 1 | trivial | |
555.2.g.a.184.12 | yes | 40 | 185.184 | even | 2 | inner | |
555.2.g.a.184.29 | yes | 40 | 37.36 | even | 2 | inner | |
555.2.g.a.184.30 | yes | 40 | 5.4 | even | 2 | inner | |
1665.2.g.e.739.11 | 40 | 111.110 | odd | 2 | |||
1665.2.g.e.739.12 | 40 | 15.14 | odd | 2 | |||
1665.2.g.e.739.29 | 40 | 3.2 | odd | 2 | |||
1665.2.g.e.739.30 | 40 | 555.554 | odd | 2 |