Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [668,2,Mod(9,668)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(668, base_ring=CyclotomicField(166))
chi = DirichletCharacter(H, H._module([0, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("668.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 668 = 2^{2} \cdot 167 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 668.e (of order \(83\), degree \(82\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.33400685502\) |
Analytic rank: | \(0\) |
Dimension: | \(1148\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{83})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{83}]$ |
Embedding invariants
Embedding label | 9.2 | ||
Character | \(\chi\) | \(=\) | 668.9 |
Dual form | 668.2.e.a.297.2 |
$q$-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 \(\left(\mathbb{Z}/668\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(335\) |
\(\chi(n)\) | \(e\left(\frac{11}{83}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.360076 | − | 2.70211i | −0.207890 | − | 1.56007i | −0.715583 | − | 0.698527i | \(-0.753839\pi\) |
0.507693 | − | 0.861538i | \(-0.330498\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.66599 | + | 1.17892i | 1.19227 | + | 0.527230i | 0.902842 | − | 0.429972i | \(-0.141476\pi\) |
0.289423 | + | 0.957201i | \(0.406537\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.359959 | − | 0.774059i | 0.136052 | − | 0.292567i | −0.826848 | − | 0.562425i | \(-0.809868\pi\) |
0.962900 | + | 0.269858i | \(0.0869769\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −4.27644 | + | 1.16034i | −1.42548 | + | 0.386780i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.41822 | − | 1.81840i | 0.427611 | − | 0.548267i | −0.525537 | − | 0.850770i | \(-0.676136\pi\) |
0.953148 | + | 0.302504i | \(0.0978225\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.212957 | − | 0.416003i | 0.0590636 | − | 0.115379i | −0.858743 | − | 0.512407i | \(-0.828754\pi\) |
0.917806 | + | 0.397029i | \(0.129959\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.22562 | − | 7.62829i | 0.574653 | − | 1.96962i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.00376620 | 0.000285651i | 0.000913437 | 6.92805e-5i | 0.0760855 | − | 0.997101i | \(-0.475758\pi\) | ||
−0.0751720 | + | 0.997171i | \(0.523951\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.82122 | − | 4.24396i | 0.647233 | − | 0.973630i | −0.352058 | − | 0.935978i | \(-0.614518\pi\) |
0.999291 | − | 0.0376523i | \(-0.0119879\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.22121 | − | 0.693930i | −0.484707 | − | 0.151428i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.68688 | + | 1.86388i | 0.977281 | + | 0.388646i | 0.802953 | − | 0.596042i | \(-0.203261\pi\) |
0.174328 | + | 0.984688i | \(0.444225\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.35326 | + | 2.58718i | 0.470652 | + | 0.517437i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.50992 | + | 3.59703i | 0.290583 | + | 0.692248i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.55654 | − | 0.619007i | 0.289043 | − | 0.114947i | −0.220513 | − | 0.975384i | \(-0.570773\pi\) |
0.509557 | + | 0.860437i | \(0.329809\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.46558 | + | 1.03195i | −0.802041 | + | 0.185344i | −0.606221 | − | 0.795296i | \(-0.707315\pi\) |
−0.195820 | + | 0.980640i | \(0.562737\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −5.42418 | − | 3.17744i | −0.944228 | − | 0.553121i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.87220 | − | 1.63927i | 0.316460 | − | 0.277087i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.73988 | − | 2.10008i | −1.27243 | − | 0.345251i | −0.439305 | − | 0.898338i | \(-0.644775\pi\) |
−0.833124 | + | 0.553087i | \(0.813450\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.20077 | − | 0.425641i | −0.192277 | − | 0.0681571i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.78039 | + | 2.33404i | −0.746571 | + | 0.364516i | −0.772388 | − | 0.635151i | \(-0.780938\pi\) |
0.0258170 | + | 0.999667i | \(0.491781\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.447049 | + | 4.71025i | −0.0681743 | + | 0.718307i | 0.894396 | + | 0.447276i | \(0.147606\pi\) |
−0.962571 | + | 0.271031i | \(0.912635\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −12.7689 | − | 1.94814i | −1.90347 | − | 0.290412i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.117670 | − | 6.21686i | −0.0171639 | − | 0.906823i | −0.899682 | − | 0.436545i | \(-0.856202\pi\) |
0.882518 | − | 0.470278i | \(-0.155846\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.04118 | + | 4.79558i | 0.577312 | + | 0.685083i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.000584257 | − | 0.0102795i | −8.18124e−5 | − | 0.00143942i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.235266 | − | 1.36787i | −0.0323163 | − | 0.187892i | 0.964883 | − | 0.262679i | \(-0.0846060\pi\) |
−0.997200 | + | 0.0747871i | \(0.976172\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.92471 | − | 3.17584i | 0.798888 | − | 0.428230i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −12.4835 | − | 6.09511i | −1.65348 | − | 0.807317i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 4.70272 | − | 0.356683i | 0.612243 | − | 0.0464361i | 0.234145 | − | 0.972202i | \(-0.424771\pi\) |
0.378098 | + | 0.925766i | \(0.376578\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.63150 | − | 6.75821i | 0.849077 | − | 0.865300i | −0.143155 | − | 0.989700i | \(-0.545725\pi\) |
0.992232 | + | 0.124400i | \(0.0397006\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.641175 | + | 3.72789i | −0.0807804 | + | 0.469670i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.05818 | − | 0.858000i | 0.131251 | − | 0.106422i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.55333 | − | 0.686896i | 0.189769 | − | 0.0839176i | −0.307363 | − | 0.951592i | \(-0.599447\pi\) |
0.497132 | + | 0.867675i | \(0.334386\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.34878 | − | 13.3356i | 0.403145 | − | 1.60542i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.4919 | + | 1.19652i | −1.24516 | + | 0.142000i | −0.710883 | − | 0.703310i | \(-0.751704\pi\) |
−0.534275 | + | 0.845311i | \(0.679415\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.8510 | + | 9.63743i | −1.50410 | + | 1.12798i | −0.547411 | + | 0.836864i | \(0.684386\pi\) |
−0.956689 | + | 0.291111i | \(0.905975\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 6.14351 | − | 7.29036i | 0.709391 | − | 0.841818i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.897042 | − | 1.75234i | −0.102227 | − | 0.199697i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.48394 | − | 9.26768i | 0.391973 | − | 1.04270i | −0.581430 | − | 0.813597i | \(-0.697506\pi\) |
0.973403 | − | 0.229099i | \(-0.0735779\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.29420 | + | 1.34393i | −0.254911 | + | 0.149325i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.64790 | + | 2.28629i | −0.180881 | + | 0.250953i | −0.891914 | − | 0.452206i | \(-0.850637\pi\) |
0.711033 | + | 0.703159i | \(0.248228\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.00970387 | + | 0.00520159i | 0.00105253 | + | 0.000564192i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.23310 | − | 3.98307i | −0.239414 | − | 0.427030i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.34168 | + | 14.8811i | 0.460218 | + | 1.57739i | 0.777387 | + | 0.629023i | \(0.216545\pi\) |
−0.317169 | + | 0.948369i | \(0.602732\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.245355 | − | 0.314586i | −0.0257202 | − | 0.0329775i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 4.39639 | + | 11.6949i | 0.455884 | + | 1.21271i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 12.5246 | − | 7.98833i | 1.28500 | − | 0.819585i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.95939 | + | 2.07042i | 0.909688 | + | 0.210220i | 0.653960 | − | 0.756529i | \(-0.273106\pi\) |
0.255728 | + | 0.966749i | \(0.417685\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.95500 | + | 9.42188i | −0.397493 | + | 0.946935i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.700273 | + | 7.37831i | 0.0696798 | + | 0.734169i | 0.960216 | + | 0.279257i | \(0.0900883\pi\) |
−0.890536 | + | 0.454912i | \(0.849671\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.27542 | + | 2.96031i | −0.421270 | + | 0.291688i | −0.760897 | − | 0.648872i | \(-0.775241\pi\) |
0.339628 | + | 0.940560i | \(0.389699\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.10362 | − | 4.46864i | −0.498062 | − | 0.436094i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 10.2193 | + | 7.07586i | 0.987937 | + | 0.684049i | 0.949028 | − | 0.315193i | \(-0.102069\pi\) |
0.0389098 | + | 0.999243i | \(0.487612\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.35869 | + | 5.96906i | 0.896400 | + | 0.571732i | 0.903664 | − | 0.428241i | \(-0.140867\pi\) |
−0.00726466 | + | 0.999974i | \(0.502312\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.88771 | + | 21.6702i | −0.274090 | + | 2.05685i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.08987 | − | 9.95891i | 0.572887 | − | 0.936856i | −0.426587 | − | 0.904446i | \(-0.640284\pi\) |
0.999475 | − | 0.0324094i | \(-0.0103180\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 10.2978 | + | 10.4945i | 0.960273 | + | 0.978620i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.427993 | + | 2.02612i | −0.0395680 | + | 0.187315i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.00157679 | − | 0.00281244i | 0.000144544 | − | 0.000257816i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.38389 | + | 5.51098i | 0.125808 | + | 0.500998i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.02814 | + | 12.0767i | 0.723873 | + | 1.08892i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.38508 | − | 4.15554i | −0.123886 | − | 0.371683i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.68374 | − | 0.990312i | −0.770557 | − | 0.0878760i | −0.280837 | − | 0.959756i | \(-0.590612\pi\) |
−0.489720 | + | 0.871880i | \(0.662901\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 12.8886 | − | 0.488073i | 1.13478 | − | 0.0429725i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.0196468 | + | 0.345670i | −0.00171655 | + | 0.0302013i | −0.999133 | − | 0.0416381i | \(-0.986742\pi\) |
0.997416 | + | 0.0718394i | \(0.0228869\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.26955 | − | 3.71144i | −0.196795 | − | 0.321823i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.215200 | + | 11.3697i | −0.0185215 | + | 0.978548i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 13.0445 | − | 4.62394i | 1.11447 | − | 0.395050i | 0.287773 | − | 0.957699i | \(-0.407085\pi\) |
0.826696 | + | 0.562649i | \(0.190218\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.50848 | + | 6.14906i | 0.552042 | + | 0.521556i | 0.911333 | − | 0.411669i | \(-0.135054\pi\) |
−0.359292 | + | 0.933225i | \(0.616982\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −16.7563 | + | 2.55650i | −1.41113 | + | 0.215296i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.454438 | − | 0.977226i | −0.0380020 | − | 0.0817197i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.87949 | + | 0.184779i | 0.405219 | + | 0.0153451i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 11.5031 | − | 12.6465i | 0.948756 | − | 1.04307i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 3.77569 | + | 3.06144i | 0.309316 | + | 0.250803i | 0.771858 | − | 0.635795i | \(-0.219328\pi\) |
−0.462542 | + | 0.886597i | \(0.653063\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.8517 | + | 9.63794i | 1.04586 | + | 0.784325i | 0.976987 | − | 0.213301i | \(-0.0684214\pi\) |
0.0688721 | + | 0.997625i | \(0.478060\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.0164374 | + | 0.00314850i | −0.00132888 | + | 0.000254541i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −13.1218 | − | 2.51340i | −1.05396 | − | 0.201882i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.95548 | + | 9.25724i | 0.156065 | + | 0.738808i | 0.984026 | + | 0.178024i | \(0.0569703\pi\) |
−0.827962 | + | 0.560785i | \(0.810500\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −3.61144 | + | 1.12825i | −0.286406 | + | 0.0894763i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.12984 | − | 2.95700i | 0.246666 | − | 0.233044i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.38123 | + | 10.1444i | −0.264838 | + | 0.794571i | 0.729078 | + | 0.684431i | \(0.239949\pi\) |
−0.993916 | + | 0.110140i | \(0.964870\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −10.7148 | − | 14.8657i | −0.834148 | − | 1.15729i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −9.73848 | − | 8.49482i | −0.753586 | − | 0.657349i | ||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.47364 | + | 10.3689i | 0.574895 | + | 0.797607i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −7.14037 | + | 21.4226i | −0.546037 | + | 1.63823i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.02587 | − | 1.91399i | 0.154024 | − | 0.145518i | −0.605874 | − | 0.795560i | \(-0.707177\pi\) |
0.759898 | + | 0.650042i | \(0.225249\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.84971 | − | 0.890282i | 0.215418 | − | 0.0672990i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.65714 | − | 12.5789i | −0.199723 | − | 0.945485i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.653800 | − | 0.125232i | −0.0488673 | − | 0.00936029i | 0.163633 | − | 0.986521i | \(-0.447679\pi\) |
−0.212500 | + | 0.977161i | \(0.568161\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.94947 | + | 0.756500i | −0.293561 | + | 0.0562302i | −0.332793 | − | 0.943000i | \(-0.607991\pi\) |
0.0392314 | + | 0.999230i | \(0.487509\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −20.6493 | − | 15.4856i | −1.52644 | − | 1.14473i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −18.1586 | − | 14.7235i | −1.33505 | − | 1.08249i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.00586074 | − | 0.00644332i | 0.000428580 | − | 0.000471182i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.32782 | + | 0.126020i | 0.242063 | + | 0.00916660i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.476049 | − | 1.02370i | −0.0344457 | − | 0.0740722i | 0.888772 | − | 0.458349i | \(-0.151559\pi\) |
−0.923218 | + | 0.384277i | \(0.874451\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.66894 | − | 0.254629i | 0.120133 | − | 0.0183286i | −0.0904793 | − | 0.995898i | \(-0.528840\pi\) |
0.210612 | + | 0.977570i | \(0.432454\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.69943 | − | 2.55036i | −0.193311 | − | 0.182635i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.99891 | − | 0.708562i | 0.142417 | − | 0.0504829i | −0.261941 | − | 0.965084i | \(-0.584363\pi\) |
0.404358 | + | 0.914601i | \(0.367495\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.258661 | + | 13.6659i | −0.0183360 | + | 0.968749i | 0.865488 | + | 0.500930i | \(0.167008\pi\) |
−0.883824 | + | 0.467820i | \(0.845040\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.41539 | − | 3.94994i | −0.170368 | − | 0.278607i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.0811446 | − | 1.42768i | 0.00569523 | − | 0.100203i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −15.4961 | + | 0.586815i | −1.08229 | + | 0.0409850i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −22.2059 | − | 2.53241i | −1.54342 | − | 0.176014i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −3.71606 | − | 11.1490i | −0.257046 | − | 0.771191i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.22627 | + | 4.85326i | 0.222105 | + | 0.334112i | 0.926906 | − | 0.375293i | \(-0.122458\pi\) |
−0.704801 | + | 0.709405i | \(0.748964\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 7.01100 | + | 27.9194i | 0.480386 | + | 1.91301i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −6.74484 | + | 12.0304i | −0.459995 | + | 0.820469i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.808637 | + | 3.82808i | −0.0548939 | + | 0.259867i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 30.6688 | + | 31.2547i | 2.07240 | + | 2.11200i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.000920870 | − | 0.00150592i | 6.19444e−5 | − | 0.000101299i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.35123 | − | 17.6443i | 0.157450 | − | 1.18155i | −0.717226 | − | 0.696841i | \(-0.754588\pi\) |
0.874676 | − | 0.484709i | \(-0.161074\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −13.0656 | − | 8.33336i | −0.871040 | − | 0.555557i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −21.9251 | − | 15.1810i | −1.45522 | − | 1.00760i | −0.992651 | − | 0.121012i | \(-0.961386\pi\) |
−0.462567 | − | 0.886584i | \(-0.653072\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.36394 | − | 6.44774i | −0.486623 | − | 0.426079i | 0.380042 | − | 0.924969i | \(-0.375910\pi\) |
−0.866665 | + | 0.498891i | \(0.833741\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.41201 | + | 3.05488i | −0.290289 | + | 0.200997i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.74697 | − | 18.4067i | −0.114448 | − | 1.20586i | −0.849403 | − | 0.527745i | \(-0.823038\pi\) |
0.734955 | − | 0.678116i | \(-0.237203\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.01549 | − | 16.7128i | 0.457640 | − | 1.09022i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −26.2968 | − | 6.07692i | −1.70816 | − | 0.394738i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.84805 | − | 3.09213i | 0.313595 | − | 0.200014i | −0.371564 | − | 0.928407i | \(-0.621179\pi\) |
0.685159 | + | 0.728394i | \(0.259733\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.64612 | + | 22.9997i | 0.556946 | + | 1.48154i | 0.850696 | + | 0.525658i | \(0.176181\pi\) |
−0.293750 | + | 0.955882i | \(0.594903\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 11.6550 | + | 14.9436i | 0.747669 | + | 0.958634i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 5.12012 | + | 17.5492i | 0.327113 | + | 1.12118i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.16470 | − | 2.07742i | −0.0741082 | − | 0.132183i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.77119 | + | 3.62958i | 0.429106 | + | 0.230015i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.53316 | + | 3.51449i | −0.159892 | + | 0.221833i | −0.883563 | − | 0.468311i | \(-0.844863\pi\) |
0.723672 | + | 0.690144i | \(0.242453\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 10.0363 | − | 5.87919i | 0.630977 | − | 0.369622i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.0105612 | − | 0.0280939i | 0.000661365 | − | 0.00175931i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −8.20254 | − | 16.0233i | −0.511660 | − | 0.999509i | −0.992447 | − | 0.122672i | \(-0.960854\pi\) |
0.480787 | − | 0.876837i | \(-0.340351\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.41163 | + | 5.23518i | −0.274125 | + | 0.325298i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −5.93822 | + | 4.45327i | −0.367566 | + | 0.275650i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −9.87494 | + | 1.12616i | −0.608915 | + | 0.0694419i | −0.412314 | − | 0.911042i | \(-0.635279\pi\) |
−0.196601 | + | 0.980484i | \(0.562990\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.985401 | − | 3.92409i | 0.0605327 | − | 0.241055i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 38.6470 | − | 17.0900i | 2.36516 | − | 1.04589i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −8.78453 | + | 7.12275i | −0.535602 | + | 0.434282i | −0.858996 | − | 0.511983i | \(-0.828911\pi\) |
0.323394 | + | 0.946265i | \(0.395176\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.48628 | − | 8.64148i | 0.0902852 | − | 0.524933i | −0.904794 | − | 0.425850i | \(-0.859975\pi\) |
0.995079 | − | 0.0990832i | \(-0.0315910\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.761699 | + | 0.776253i | −0.0461001 | + | 0.0469809i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 8.04197 | − | 0.609951i | 0.484949 | − | 0.0367814i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.0611 | + | 6.37711i | 0.784764 | + | 0.383164i | 0.787093 | − | 0.616834i | \(-0.211585\pi\) |
−0.00232964 | + | 0.999997i | \(0.500742\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 17.8994 | − | 9.59465i | 1.07161 | − | 0.574417i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.35769 | − | 19.5222i | −0.200303 | − | 1.16459i | −0.895260 | − | 0.445543i | \(-0.853011\pi\) |
0.694957 | − | 0.719051i | \(-0.255423\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.19226 | + | 20.9769i | 0.0708725 | + | 1.24695i | 0.815219 | + | 0.579153i | \(0.196616\pi\) |
−0.744347 | + | 0.667793i | \(0.767239\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −26.0952 | − | 30.9666i | −1.54575 | − | 1.83430i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.0859397 | + | 4.54046i | 0.00507286 | + | 0.268015i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.8055 | − | 2.56401i | −0.988560 | − | 0.150824i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.36845 | − | 24.9548i | 0.138841 | − | 1.46288i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −27.8816 | + | 13.6133i | −1.62886 | + | 0.795296i | −0.629020 | + | 0.777389i | \(0.716543\pi\) |
−0.999840 | + | 0.0179065i | \(0.994300\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.9579 | + | 4.59323i | 0.754438 | + | 0.267428i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 8.68222 | + | 2.35577i | 0.503793 | + | 0.136696i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.77348 | − | 1.55283i | 0.102563 | − | 0.0898025i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.48510 | + | 2.04154i | 0.200878 | + | 0.117673i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 19.6849 | − | 4.54897i | 1.13087 | − | 0.261332i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 25.6469 | − | 10.1993i | 1.46854 | − | 0.584008i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.85568 | − | 18.7144i | −0.448347 | − | 1.06808i | −0.975832 | − | 0.218520i | \(-0.929877\pi\) |
0.527485 | − | 0.849564i | \(-0.323135\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 9.53856 | + | 10.4867i | 0.542630 | + | 0.596569i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 20.1904 | + | 8.02933i | 1.14489 | + | 0.455302i | 0.863529 | − | 0.504299i | \(-0.168249\pi\) |
0.281364 | + | 0.959601i | \(0.409213\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 17.1322 | + | 5.35230i | 0.968370 | + | 0.302530i | 0.741169 | − | 0.671318i | \(-0.234272\pi\) |
0.227201 | + | 0.973848i | \(0.427043\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −6.10426 | + | 9.18262i | −0.343936 | + | 0.517382i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −4.81593 | − | 0.365269i | −0.270489 | − | 0.0205155i | −0.0603149 | − | 0.998179i | \(-0.519210\pi\) |
−0.210175 | + | 0.977664i | \(0.567403\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.08193 | − | 3.70830i | 0.0605764 | − | 0.207625i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 15.4400 | − | 30.1616i | 0.861780 | − | 1.68345i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.0118376 | − | 0.0151777i | 0.000658660 | − | 0.000844510i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.57742 | − | 0.428006i | 0.0874995 | − | 0.0237415i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 12.7592 | − | 27.4375i | 0.705587 | − | 1.51730i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −4.85458 | − | 2.14674i | −0.267641 | − | 0.118353i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.42474 | + | 33.2045i | 0.243206 | + | 1.82508i | 0.508668 | + | 0.860963i | \(0.330138\pi\) |
−0.265462 | + | 0.964121i | \(0.585525\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 35.5360 | 1.94736 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 4.95095 | 0.270499 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.678789 | + | 5.09382i | 0.0369760 | + | 0.277478i | 0.999968 | + | 0.00794965i | \(0.00253048\pi\) |
−0.962992 | + | 0.269528i | \(0.913132\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −29.1029 | − | 12.8696i | −1.58065 | − | 0.698978i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −4.45670 | + | 9.58372i | −0.241344 | + | 0.518987i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.9338 | − | 2.96671i | 0.590371 | − | 0.160187i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 24.6494 | − | 31.6046i | 1.32708 | − | 1.70153i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −6.56407 | + | 12.8227i | −0.352378 | + | 0.688357i | −0.997103 | − | 0.0760574i | \(-0.975767\pi\) |
0.644726 | + | 0.764414i | \(0.276972\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.56481 | + | 29.3558i | −0.458464 | + | 1.57138i | 0.322353 | + | 0.946619i | \(0.395526\pi\) |
−0.780817 | + | 0.624760i | \(0.785197\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.81792 | + | 0.137882i | 0.0970335 | + | 0.00735960i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.79623 | − | 11.7278i | 0.414951 | − | 0.624210i | −0.564610 | − | 0.825358i | \(-0.690973\pi\) |
0.979561 | + | 0.201148i | \(0.0644672\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −29.3818 | − | 9.17921i | −1.55943 | − | 0.487182i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.00816729 | − | 0.00324797i | −0.000432259 | − | 0.000171901i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −8.85868 | − | 9.73926i | −0.467543 | − | 0.514018i | 0.459906 | − | 0.887967i | \(-0.347883\pi\) |
−0.927449 | + | 0.373949i | \(0.878003\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.69792 | − | 6.42718i | −0.141996 | − | 0.338272i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 14.3930 | − | 5.72380i | 0.755435 | − | 0.300422i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −45.6224 | + | 10.5429i | −2.38799 | + | 0.551839i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.58858 | − | 3.85954i | −0.343921 | − | 0.201466i | 0.323353 | − | 0.946278i | \(-0.395190\pi\) |
−0.667274 | + | 0.744812i | \(0.732539\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 17.7348 | − | 15.5283i | 0.923236 | − | 0.808369i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.14350 | − | 0.310269i | −0.0593676 | − | 0.0161084i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 29.3753 | + | 10.4128i | 1.52100 | + | 0.539153i | 0.957866 | − | 0.287215i | \(-0.0927294\pi\) |
0.563130 | + | 0.826368i | \(0.309597\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −10.7300 | + | 5.23896i | −0.554095 | + | 0.270539i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.0739679 | − | 0.779350i | 0.00380954 | − | 0.0401386i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.74850 | − | 0.266767i | −0.0898142 | − | 0.0137029i | 0.105761 | − | 0.994392i | \(-0.466272\pi\) |
−0.195576 | + | 0.980689i | \(0.562658\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.450873 | + | 23.8210i | 0.0230989 | + | 1.22039i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −20.3609 | − | 24.1618i | −1.04039 | − | 1.23461i | −0.971513 | − | 0.236986i | \(-0.923840\pi\) |
−0.0688808 | − | 0.997625i | \(-0.521943\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.325633 | − | 5.72925i | −0.0165958 | − | 0.291990i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −3.55371 | − | 20.6619i | −0.180645 | − | 1.05030i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 6.81756 | − | 3.65444i | 0.345664 | − | 0.185287i | −0.290435 | − | 0.956895i | \(-0.593800\pi\) |
0.636099 | + | 0.771607i | \(0.280547\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.0171193 | + | 0.00835855i | 0.000865759 | + | 0.000422710i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.941114 | − | 0.0713797i | 0.0474729 | − | 0.00360063i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 20.2140 | − | 20.6002i | 1.01708 | − | 1.03651i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.96560 | + | 23.0567i | −0.199028 | + | 1.15718i | 0.698296 | + | 0.715809i | \(0.253942\pi\) |
−0.897324 | + | 0.441372i | \(0.854492\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −9.21153 | + | 7.46898i | −0.461153 | + | 0.373917i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −30.8579 | + | 13.6456i | −1.54097 | + | 0.681431i | −0.988378 | − | 0.152019i | \(-0.951422\pi\) |
−0.552595 | + | 0.833450i | \(0.686362\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.521682 | + | 2.07746i | −0.0259868 | + | 0.103485i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −7.70069 | + | 0.878203i | −0.382650 | + | 0.0436383i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −14.7957 | + | 11.0958i | −0.733394 | + | 0.549997i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.51598 | + | 2.98565i | −0.124407 | + | 0.147631i | −0.823324 | − | 0.567572i | \(-0.807883\pi\) |
0.698917 | + | 0.715203i | \(0.253666\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −17.1914 | − | 33.5828i | −0.847990 | − | 1.65652i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.41670 | − | 3.76858i | 0.0697111 | − | 0.185440i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.08864 | + | 4.15247i | −0.347968 | + | 0.203837i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 14.2719 | − | 19.8008i | 0.698898 | − | 0.969648i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −26.4994 | − | 14.2046i | −1.29458 | − | 0.693939i | −0.326649 | − | 0.945146i | \(-0.605920\pi\) |
−0.967933 | + | 0.251207i | \(0.919173\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.5432 | − | 20.5890i | −0.562580 | − | 1.00345i | −0.994817 | − | 0.101685i | \(-0.967577\pi\) |
0.432237 | − | 0.901760i | \(-0.357725\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 7.71688 | + | 26.4495i | 0.375207 | + | 1.28602i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.00812382 | + | 0.0104161i | 0.000394063 | + | 0.000505253i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.84418 | − | 7.56586i | −0.137640 | − | 0.366138i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −2.47694 | + | 1.57982i | −0.119588 | + | 0.0762743i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 13.4428 | + | 3.10648i | 0.647515 | + | 0.149634i | 0.536120 | − | 0.844142i | \(-0.319890\pi\) |
0.111396 | + | 0.993776i | \(0.464468\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.22588 | − | 14.8317i | 0.299197 | − | 0.712768i | −0.700803 | − | 0.713355i | \(-0.747175\pi\) |
1.00000 | 0.000586982i | \(0.000186842\pi\) | ||||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.25769 | − | 13.2515i | −0.0603017 | − | 0.635359i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 21.1329 | − | 14.6325i | 1.01093 | − | 0.699967i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −13.3010 | − | 11.6461i | −0.634821 | − | 0.555838i | 0.279846 | − | 0.960045i | \(-0.409716\pi\) |
−0.914668 | + | 0.404206i | \(0.867548\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −22.8464 | − | 15.8189i | −1.08792 | − | 0.753280i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 7.50010 | + | 4.78363i | 0.356340 | + | 0.227277i | 0.703769 | − | 0.710429i | \(-0.251499\pi\) |
−0.347428 | + | 0.937707i | \(0.612945\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.96876 | + | 44.7913i | −0.282946 | + | 2.12331i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 6.91281 | − | 11.3047i | 0.326965 | − | 0.534693i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 8.34740 | + | 8.50689i | 0.393938 | + | 0.401465i | 0.881928 | − | 0.471385i | \(-0.156246\pi\) |
−0.487990 | + | 0.872849i | \(0.662270\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.53546 | + | 12.0028i | −0.119390 | + | 0.565191i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 21.4152 | − | 38.1972i | 1.00617 | − | 1.79466i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.283242 | − | 1.12794i | −0.0132786 | − | 0.0528784i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.92303 | − | 8.91000i | −0.277068 | − | 0.416792i | 0.667752 | − | 0.744384i | \(-0.267257\pi\) |
−0.944819 | + | 0.327592i | \(0.893763\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.00465915 | + | 0.0139784i | 0.000217470 | + | 0.000652457i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 16.8222 | + | 1.91844i | 0.783489 | + | 0.0893507i | 0.495873 | − | 0.868395i | \(-0.334848\pi\) |
0.287616 | + | 0.957746i | \(0.407137\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −30.1352 | + | 1.14118i | −1.40050 | + | 0.0530351i | −0.727248 | − | 0.686375i | \(-0.759201\pi\) |
−0.673256 | + | 0.739410i | \(0.735105\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.06667 | + | 36.3615i | −0.0958396 | + | 1.68622i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −18.4871 | − | 30.2323i | −0.855479 | − | 1.39898i | −0.916154 | − | 0.400827i | \(-0.868723\pi\) |
0.0606748 | − | 0.998158i | \(-0.480675\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.0274378 | − | 1.44962i | 0.00126696 | − | 0.0669374i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 24.3100 | − | 8.61725i | 1.12014 | − | 0.397062i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 7.93109 | + | 7.49311i | 0.364672 | + | 0.344533i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 17.6190 | − | 2.68812i | 0.808414 | − | 0.123339i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.59330 | + | 5.57665i | 0.118739 | + | 0.255337i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 13.0908 | + | 0.495729i | 0.598133 | + | 0.0226504i | 0.335173 | − | 0.942156i | \(-0.391205\pi\) |
0.262959 | + | 0.964807i | \(0.415302\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.52190 | + | 2.77259i | −0.114989 | + | 0.126419i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −9.11712 | − | 7.39243i | −0.414843 | − | 0.336367i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 21.4447 | + | 16.0821i | 0.973756 | + | 0.730252i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −37.7632 | + | 7.23334i | −1.71121 | + | 0.327774i | −0.947975 | − | 0.318344i | \(-0.896873\pi\) |
−0.763237 | + | 0.646118i | \(0.776391\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 28.6288 | + | 5.48370i | 1.29464 | + | 0.247982i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.66933 | + | 22.1046i | 0.210724 | + | 0.997566i | 0.947086 | + | 0.320979i | \(0.104012\pi\) |
−0.736362 | + | 0.676587i | \(0.763458\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.00603908 | − | 0.00188668i | 0.000271986 | − | 8.49716e-5i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −21.6516 | + | 20.4560i | −0.973169 | + | 0.919427i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.85048 | + | 8.55204i | −0.127861 | + | 0.383611i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.6315 | − | 14.7501i | −0.475931 | − | 0.660304i | 0.503050 | − | 0.864257i | \(-0.332211\pi\) |
−0.978981 | + | 0.203954i | \(0.934621\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −19.4474 | + | 29.3732i | −0.868845 | + | 1.31230i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −25.1806 | − | 34.9355i | −1.12275 | − | 1.55770i | −0.788311 | − | 0.615277i | \(-0.789044\pi\) |
−0.334438 | − | 0.942418i | \(-0.608546\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.83153 | + | 20.4960i | −0.303999 | + | 0.912062i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 25.3268 | − | 23.9282i | 1.12480 | − | 1.06269i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 20.8270 | − | 6.50660i | 0.923142 | − | 0.288400i | 0.200557 | − | 0.979682i | \(-0.435725\pi\) |
0.722585 | + | 0.691282i | \(0.242954\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.83409 | + | 13.4165i | 0.125373 | + | 0.593513i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 19.5254 | + | 3.74000i | 0.862069 | + | 0.165125i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −14.8882 | + | 2.85175i | −0.656051 | + | 0.125663i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −11.4716 | − | 8.60294i | −0.504520 | − | 0.378357i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −5.90129 | − | 4.78494i | −0.259038 | − | 0.210035i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −23.9180 | + | 26.2955i | −1.04787 | + | 1.15203i | −0.0597675 | + | 0.998212i | \(0.519036\pi\) |
−0.988099 | + | 0.153816i | \(0.950844\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −30.2973 | − | 1.14732i | −1.32481 | − | 0.0501686i | −0.634071 | − | 0.773275i | \(-0.718617\pi\) |
−0.690737 | + | 0.723106i | \(0.742714\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −3.43176 | − | 7.37967i | −0.149774 | − | 0.322075i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.0171130 | + | 0.00261093i | −0.000745455 | + | 0.000113734i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.77423 | + | 1.67625i | 0.0771405 | + | 0.0728806i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −19.6971 | + | 6.98209i | −0.854779 | + | 0.302997i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.0470483 | + | 2.48571i | −0.00203789 | + | 0.107668i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.9026 | + | 30.9119i | 0.817232 | + | 1.33644i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.102973 | + | 1.81174i | −0.00444363 | + | 0.0781821i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 14.4516 | − | 0.547260i | 0.622473 | − | 0.0235722i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −30.3669 | − | 3.46310i | −1.30557 | − | 0.148890i | −0.567367 | − | 0.823465i | \(-0.692038\pi\) |
−0.738206 | + | 0.674575i | \(0.764327\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 3.46626 | + | 10.3995i | 0.148751 | + | 0.446285i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 17.9131 | + | 26.9466i | 0.767312 | + | 1.15427i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.41781 | + | 33.5217i | 0.359920 | + | 1.43328i | 0.833494 | + | 0.552529i | \(0.186337\pi\) |
−0.473574 | + | 0.880754i | \(0.657036\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −20.5174 | + | 36.5959i | −0.875663 | + | 1.56187i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.76432 | − | 8.35227i | 0.0751625 | − | 0.355819i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5.91966 | − | 6.03276i | −0.251729 | − | 0.256539i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −33.2461 | + | 54.3681i | −1.41122 | + | 2.30780i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −3.91899 | + | 29.4092i | −0.166053 | + | 1.24611i | 0.687919 | + | 0.725787i | \(0.258524\pi\) |
−0.853972 | + | 0.520319i | \(0.825813\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.86428 | + | 1.18906i | 0.0788506 | + | 0.0502917i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.0195209 | − | 0.0135163i | −0.000824172 | − | 0.000570658i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −2.53019 | − | 2.21539i | −0.106635 | − | 0.0933674i | 0.603779 | − | 0.797152i | \(-0.293661\pi\) |
−0.710414 | + | 0.703784i | \(0.751492\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 27.9763 | − | 19.3708i | 1.17697 | − | 0.814937i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.214459 | + | 2.25961i | 0.00900642 | + | 0.0948945i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −0.599848 | + | 1.42900i | −0.0251469 | + | 0.0599068i | −0.934145 | − | 0.356893i | \(-0.883836\pi\) |
0.908998 | + | 0.416799i | \(0.136848\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.4824 | + | 3.34674i | 0.606071 | + | 0.140057i | 0.517024 | − | 0.855971i | \(-0.327040\pi\) |
0.0890466 | + | 0.996027i | \(0.471618\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2.59473 | + | 1.65495i | −0.108397 | + | 0.0691364i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6.20725 | + | 16.5120i | 0.258860 | + | 0.688598i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.5578 | + | 21.2298i | 0.689310 | + | 0.883808i | 0.997723 | − | 0.0674446i | \(-0.0214846\pi\) |
−0.308413 | + | 0.951253i | \(0.599798\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.28898 | − | 4.41796i | −0.0535681 | − | 0.183604i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.17655 | + | 2.09855i | 0.0488114 | + | 0.0870623i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.82100 | − | 1.51215i | −0.116834 | − | 0.0626267i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −3.52966 | + | 4.89703i | −0.145933 | + | 0.202467i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 24.0997 | − | 14.1174i | 0.994700 | − | 0.582688i | 0.0843104 | − | 0.996440i | \(-0.473131\pi\) |
0.910390 | + | 0.413752i | \(0.135782\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.21884 | + | 21.8631i | −0.338651 | + | 0.900852i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.63437 | − | 5.14615i | −0.108364 | − | 0.211684i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −3.21278 | + | 3.81253i | −0.131933 | + | 0.156562i | −0.826640 | − | 0.562731i | \(-0.809751\pi\) |
0.694707 | + | 0.719293i | \(0.255534\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.00751934 | − | 0.00563901i | 0.000308263 | − | 0.000231177i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 37.0199 | − | 4.22183i | 1.51512 | − | 0.172788i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −0.0298905 | + | 0.119031i | −0.00122129 | + | 0.00486347i | −0.970495 | − | 0.241121i | \(-0.922485\pi\) |
0.969274 | + | 0.245985i | \(0.0791113\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 23.9324 | − | 10.5831i | 0.976224 | − | 0.431695i | 0.146098 | − | 0.989270i | \(-0.453329\pi\) |
0.830126 | + | 0.557576i | \(0.188268\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −5.84569 | + | 4.73986i | −0.238055 | + | 0.193022i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.80757 | + | 16.3237i | −0.114144 | + | 0.663652i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 23.5263 | − | 23.9758i | 0.954901 | − | 0.973146i | −0.0447646 | − | 0.998998i | \(-0.514254\pi\) |
0.999666 | + | 0.0258514i | \(0.00822967\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −3.88696 | + | 0.294810i | −0.157507 | + | 0.0119463i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.61130 | − | 1.27497i | −0.105642 | − | 0.0515799i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 40.6368 | − | 21.7827i | 1.64130 | − | 0.879793i | 0.648344 | − | 0.761347i | \(-0.275462\pi\) |
0.992960 | − | 0.118446i | \(-0.0377913\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 7.16542 | + | 41.6609i | 0.288937 | + | 1.67993i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.52189 | − | 44.3708i | −0.101528 | − | 1.78630i | −0.496929 | − | 0.867791i | \(-0.665539\pi\) |
0.395401 | − | 0.918508i | \(-0.370606\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −29.3939 | − | 34.8811i | −1.18144 | − | 1.40199i | −0.896268 | − | 0.443513i | \(-0.853732\pi\) |
−0.285173 | − | 0.958476i | \(-0.592051\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.372363 | + | 19.6731i | 0.0149424 | + | 0.789455i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 13.0817 | + | 1.99586i | 0.524106 | + | 0.0799626i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2.85868 | − | 30.1200i | 0.114347 | − | 1.20480i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −28.7877 | + | 14.0557i | −1.14967 | + | 0.561331i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.0285500 | − | 0.0101202i | −0.00113836 | − | 0.000403520i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −22.9586 | − | 6.22943i | −0.913969 | − | 0.247990i | −0.226337 | − | 0.974049i | \(-0.572675\pi\) |
−0.687632 | + | 0.726060i | \(0.741350\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 11.9524 | − | 10.4653i | 0.475064 | − | 0.415957i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −21.9832 | − | 12.8776i | −0.872377 | − | 0.511032i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.85557 | − | 0.659894i | 0.113142 | − | 0.0261459i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 43.4796 | − | 17.2910i | 1.72003 | − | 0.684021i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −3.22495 | − | 7.68270i | −0.127378 | − | 0.303448i | 0.845801 | − | 0.533498i | \(-0.179123\pi\) |
−0.973179 | + | 0.230050i | \(0.926111\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −6.94902 | − | 7.63978i | −0.274043 | − | 0.301284i | 0.587237 | − | 0.809415i | \(-0.300216\pi\) |
−0.861279 | + | 0.508132i | \(0.830336\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 34.9362 | + | 13.8935i | 1.37561 | + | 0.547054i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 41.6009 | + | 12.9966i | 1.63550 | + | 0.510948i | 0.971551 | − | 0.236831i | \(-0.0761088\pi\) |
0.663947 | + | 0.747779i | \(0.268880\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.02093 | − | 9.05727i | 0.236342 | − | 0.355529i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.6351 | + | 0.806628i | 0.416821 | + | 0.0316142i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −5.44088 | + | 18.6486i | −0.212918 | + | 0.729775i | 0.781466 | + | 0.623948i | \(0.214472\pi\) |
−0.994384 | + | 0.105828i | \(0.966251\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.459896 | + | 0.898389i | −0.0179696 | + | 0.0351030i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 43.7740 | − | 56.1255i | 1.70779 | − | 2.18966i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 42.0411 | − | 11.4071i | 1.63769 | − | 0.444358i | 0.680246 | − | 0.732984i | \(-0.261873\pi\) |
0.957442 | + | 0.288625i | \(0.0931981\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.9460 | − | 36.4408i | 0.659122 | − | 1.41738i | −0.236086 | − | 0.971732i | \(-0.575865\pi\) |
0.895208 | − | 0.445649i | \(-0.147027\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.00440075 | − | 0.00194605i | −0.000170911 | − | 7.55783e-5i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.67508 | − | 12.5703i | −0.0649569 | − | 0.487454i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 8.44909 | 0.327150 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −48.5235 | −1.87603 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.88413 | − | 21.6434i | −0.111341 | − | 0.835532i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.70712 | + | 2.52374i | 0.219993 | + | 0.0972829i | 0.511491 | − | 0.859289i | \(-0.329093\pi\) |
−0.291498 | + | 0.956572i | \(0.594154\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −5.75294 | + | 12.3712i | −0.221431 | + | 0.476167i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −40.8690 | + | 11.0891i | −1.57072 | + | 0.426188i | −0.937558 | − | 0.347830i | \(-0.886919\pi\) |
−0.633164 | + | 0.774018i | \(0.718244\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.82765 | − | 6.18983i | 0.185268 | − | 0.237544i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −33.1260 | + | 64.7103i | −1.26939 | + | 2.47970i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −9.64220 | + | 33.0485i | −0.368948 | + | 1.26457i | 0.537864 | + | 0.843032i | \(0.319232\pi\) |
−0.906812 | + | 0.421535i | \(0.861491\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 40.2278 | + | 3.05111i | 1.53702 | + | 0.116577i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −14.7709 | + | 22.2199i | −0.563546 | + | 0.847741i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −0.619142 | − | 0.193427i | −0.0235874 | − | 0.00736898i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 16.2203 | + | 6.45050i | 0.617050 | + | 0.245389i | 0.657093 | − | 0.753809i | \(-0.271786\pi\) |
−0.0400435 | + | 0.999198i | \(0.512750\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 5.86945 | + | 6.45290i | 0.222962 | + | 0.245125i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 10.1022 | + | 24.0663i | 0.383200 | + | 0.912886i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.0186706 | + | 0.00742494i | −0.000707200 | + | 0.000281240i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −49.1078 | + | 11.3483i | −1.85743 | + | 0.429232i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 7.90465 | + | 4.63048i | 0.298555 | + | 0.174891i | 0.647109 | − | 0.762398i | \(-0.275978\pi\) |
−0.348554 | + | 0.937289i | \(0.613327\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −30.7486 | + | 26.9229i | −1.15970 | + | 1.01542i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −47.6860 | − | 12.9388i | −1.79596 | − | 0.487302i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 5.96332 | + | 2.11384i | 0.224274 | + | 0.0794991i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.78755 | − | 3.31404i | 0.254912 | − | 0.124462i | −0.306857 | − | 0.951755i | \(-0.599277\pi\) |
0.561769 | + | 0.827294i | \(0.310121\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.14521 | + | 43.6752i | −0.155457 | + | 1.63795i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −22.8530 | − | 3.48668i | −0.855853 | − | 0.130577i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0594517 | − | 3.14102i | −0.00222337 | − | 0.117467i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −10.1010 | − | 11.9866i | −0.377227 | − | 0.447647i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0.645672 | + | 11.3601i | 0.0240795 | + | 0.423660i | 0.987697 | + | 0.156377i | \(0.0499814\pi\) |
−0.963618 | + | 0.267283i | \(0.913874\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.752476 | + | 4.37502i | 0.0280237 | + | 0.162934i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 59.0345 | − | 31.6444i | 2.19552 | − | 1.17687i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 5.26444 | + | 2.57038i | 0.195516 | + | 0.0954616i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −20.5371 | + | 1.55766i | −0.761678 | + | 0.0577702i | −0.450735 | − | 0.892658i | \(-0.648838\pi\) |
−0.310944 | + | 0.950428i | \(0.600645\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 30.5960 | − | 31.1806i | 1.13318 | − | 1.15484i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.00302916 | + | 0.0176120i | −0.000112038 | + | 0.000651405i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −28.7655 | + | 23.3239i | −1.06248 | + | 0.861487i | −0.990718 | − | 0.135935i | \(-0.956596\pi\) |
−0.0717592 | + | 0.997422i | \(0.522861\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 45.5762 | − | 20.1542i | 1.68110 | − | 0.743399i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0.953922 | − | 3.79874i | 0.0351382 | − | 0.139928i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.44802 | + | 0.279178i | −0.0900520 | + | 0.0102697i | −0.158217 | − | 0.987404i | \(-0.550575\pi\) |
0.0681653 | + | 0.997674i | \(0.478285\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −5.19404 | + | 3.89518i | −0.190808 | + | 0.143093i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 25.1879 | − | 29.8899i | 0.924053 | − | 1.09655i | −0.0710261 | − | 0.997474i | \(-0.522627\pi\) |
0.995080 | − | 0.0990785i | \(-0.0315895\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 6.45673 | + | 12.6130i | 0.236556 | + | 0.462104i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 4.39429 | − | 11.6893i | 0.160779 | − | 0.427690i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 9.15567 | − | 5.36332i | 0.334541 | − | 0.195972i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.2979 | + | 33.7108i | −0.886643 | + | 1.23012i | 0.0856418 | + | 0.996326i | \(0.472706\pi\) |
−0.972285 | + | 0.233798i | \(0.924884\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 10.4087 | + | 5.57939i | 0.379313 | + | 0.203324i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 22.9001 | + | 40.8458i | 0.833421 | + | 1.48653i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.71345 | − | 19.5828i | −0.207659 | − | 0.711749i | −0.995405 | − | 0.0957493i | \(-0.969475\pi\) |
0.787747 | − | 0.615999i | \(-0.211248\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −19.5001 | − | 25.0023i | −0.707808 | − | 0.907525i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 6.56857 | + | 17.4732i | 0.238110 | + | 0.633401i | 0.999896 | − | 0.0144278i | \(-0.00459267\pi\) |
−0.761786 | + | 0.647829i | \(0.775677\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.98915 | − | 5.09556i | 0.289227 | − | 0.184472i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.0475337 | − | 0.0109845i | −0.00171858 | − | 0.000397147i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.853097 | − | 2.03231i | 0.0308035 | − | 0.0733824i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.177905 | + | 1.87447i | 0.00641543 | + | 0.0675951i | 0.998160 | − | 0.0606331i | \(-0.0193120\pi\) |
−0.991745 | + | 0.128228i | \(0.959071\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −40.3434 | + | 27.9338i | −1.45293 | + | 1.00601i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.0574883 | + | 0.0503358i | 0.00206771 | + | 0.00181045i | 0.659786 | − | 0.751454i | \(-0.270647\pi\) |
−0.657718 | + | 0.753264i | \(0.728478\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −13.1785 | − | 9.12482i | −0.473386 | − | 0.327773i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 15.7346 | + | 10.0357i | 0.564474 | + | 0.360027i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.58097 | + | 26.8726i | −0.128302 | + | 0.962811i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12.7041 | + | 20.7753i | −0.454589 | + | 0.743400i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 4.57684 | + | 4.66429i | 0.163563 | + | 0.166688i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −5.70027 | + | 26.9850i | −0.203451 | + | 0.963137i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 26.1774 | − | 46.6913i | 0.933124 | − | 1.66437i | 0.205185 | − | 0.978723i | \(-0.434220\pi\) |
0.727939 | − | 0.685642i | \(-0.240478\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 6.59874 | + | 26.2777i | 0.234921 | + | 0.935511i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −5.51668 | − | 8.29873i | −0.196151 | − | 0.295069i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.39921 | − | 4.19794i | −0.0496875 | − | 0.149073i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −10.9582 | − | 1.24969i | −0.388646 | − | 0.0443220i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 42.0434 | − | 1.59213i | 1.48926 | − | 0.0563960i | 0.719392 | − | 0.694605i | \(-0.244421\pi\) |
0.769863 | + | 0.638209i | \(0.220324\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.00133269 | − | 0.0234476i | 4.71470e−5 | − | 0.000829515i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −35.8341 | − | 58.6003i | −1.26613 | − | 2.07054i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.701005 | + | 37.0363i | −0.0247379 | + | 1.30698i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 11.8302 | − | 4.19348i | 0.416959 | − | 0.147801i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 22.4096 | + | 21.1721i | 0.788854 | + | 0.745292i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 35.5927 | − | 5.43036i | 1.25137 | − | 0.190921i | 0.508916 | − | 0.860816i | \(-0.330047\pi\) |
0.742456 | + | 0.669895i | \(0.233661\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1.69171 | − | 3.63786i | −0.0594039 | − | 0.127743i | 0.874797 | − | 0.484489i | \(-0.160994\pi\) |
−0.934201 | + | 0.356746i | \(0.883886\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −23.8854 | − | 0.904508i | −0.837699 | − | 0.0317225i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −20.9738 | + | 23.0586i | −0.734679 | + | 0.807709i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 18.7289 | + | 15.1859i | 0.655241 | + | 0.531288i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 1.41427 | + | 1.06061i | 0.0494187 | + | 0.0370608i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −30.9024 | + | 5.91920i | −1.07850 | + | 0.206581i | −0.696483 | − | 0.717573i | \(-0.745253\pi\) |
−0.382018 | + | 0.924155i | \(0.624771\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.7577 | − | 2.63521i | −0.479563 | − | 0.0918578i | −0.0573492 | − | 0.998354i | \(-0.518265\pi\) |
−0.422214 | + | 0.906496i | \(0.638747\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −4.54388 | − | 21.5107i | −0.158198 | − | 0.748906i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −0.745480 | + | 0.232896i | −0.0259229 | + | 0.00809860i | −0.311132 | − | 0.950367i | \(-0.600708\pi\) |
0.285209 | + | 0.958465i | \(0.407937\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.45087 | − | 7.03941i | 0.258779 | − | 0.244489i | −0.546394 | − | 0.837528i | \(-0.684000\pi\) |
0.805173 | + | 0.593039i | \(0.202072\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 12.5287 | − | 37.5887i | 0.434616 | − | 1.30394i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.0138500 | + | 0.0192155i | 0.000479875 | + | 0.000665776i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −15.9479 | − | 34.1280i | −0.551900 | − | 1.18105i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −10.4546 | − | 14.5046i | −0.361364 | − | 0.501354i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 11.2853 | − | 33.8584i | 0.389613 | − | 1.16892i | −0.552467 | − | 0.833535i | \(-0.686313\pi\) |
0.942080 | − | 0.335388i | \(-0.108867\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −19.0402 | + | 17.9888i | −0.656559 | + | 0.620302i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −51.5420 | + | 16.1023i | −1.77520 | + | 0.554593i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 7.70051 | + | 36.4541i | 0.264905 | + | 1.25406i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.76397 | + | 0.912513i | 0.163692 | + | 0.0313543i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 56.2526 | − | 10.7749i | 1.93058 | − | 0.369793i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −32.3616 | − | 24.2690i | −1.10934 | − | 0.831931i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.49772 | + | 2.02523i | 0.0855204 | + | 0.0693424i | 0.671616 | − | 0.740900i | \(-0.265601\pi\) |
−0.586095 | + | 0.810242i | \(0.699336\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −44.2917 | + | 48.6944i | −1.51474 | + | 1.66531i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −14.4456 | − | 0.547034i | −0.493452 | − | 0.0186863i | −0.210056 | − | 0.977689i | \(-0.567365\pi\) |
−0.283396 | + | 0.959003i | \(0.591461\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −24.1987 | − | 52.0372i | −0.825651 | − | 1.77548i | −0.597520 | − | 0.801854i | \(-0.703847\pi\) |
−0.228131 | − | 0.973630i | \(-0.573261\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 12.2379 | − | 1.86713i | 0.417066 | − | 0.0636316i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −12.1862 | − | 11.5133i | −0.414824 | − | 0.391917i | 0.450788 | − | 0.892631i | \(-0.351143\pi\) |
−0.865613 | + | 0.500714i | \(0.833071\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.65738 | − | 2.71434i | 0.260359 | − | 0.0922903i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.876981 | + | 46.3336i | −0.0297838 | + | 1.57357i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −11.9113 | − | 19.4788i | −0.404063 | − | 0.660774i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.0450415 | − | 0.792470i | 0.00152617 | − | 0.0268518i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −40.7167 | + | 1.54188i | −1.37805 | + | 0.0521849i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −3.71521 | − | 0.423690i | −0.125597 | − | 0.0143233i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10.4674 | − | 31.4044i | −0.353459 | − | 1.06045i | −0.963415 | − | 0.268016i | \(-0.913632\pi\) |
0.609956 | − | 0.792435i | \(-0.291187\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 46.8241 | + | 70.4373i | 1.57934 | + | 2.37579i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −1.32533 | − | 5.27778i | −0.0446516 | − | 0.177813i | 0.943478 | − | 0.331435i | \(-0.107533\pi\) |
−0.988130 | + | 0.153622i | \(0.950906\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.48670 | + | 8.00270i | −0.150990 | + | 0.269312i | −0.937303 | − | 0.348515i | \(-0.886686\pi\) |
0.786314 | + | 0.617828i | \(0.211987\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 7.74560 | − | 36.6676i | 0.260365 | − | 1.23257i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 23.3627 | + | 23.8091i | 0.784442 | + | 0.799430i | 0.983567 | − | 0.180544i | \(-0.0577859\pi\) |
−0.199125 | + | 0.979974i | \(0.563810\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.89235 | + | 6.36525i | −0.130545 | + | 0.213484i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.809905 | + | 6.07775i | −0.0271328 | + | 0.203612i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −26.7161 | − | 17.0398i | −0.894019 | − | 0.570214i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.59538 | − | 1.10465i | −0.0533278 | − | 0.0369243i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −4.83451 | − | 4.23301i | −0.161420 | − | 0.141336i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −6.31209 | + | 4.37050i | −0.210520 | + | 0.145764i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.000495323 | − | 0.00521889i | −1.65016e−5 | − | 0.000173866i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 4.26158 | − | 10.1522i | 0.141816 | − | 0.337845i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −11.4211 | − | 2.63929i | −0.379649 | − | 0.0877330i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −18.5510 | + | 11.8320i | −0.615977 | + | 0.392876i | −0.808568 | − | 0.588403i | \(-0.799757\pi\) |
0.192591 | + | 0.981279i | \(0.438311\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −11.5560 | − | 30.7404i | −0.383289 | − | 1.01959i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −18.4596 | − | 23.6682i | −0.611593 | − | 0.784162i | 0.378345 | − | 0.925665i | \(-0.376493\pi\) |
−0.989938 | + | 0.141502i | \(0.954807\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.82029 | + | 6.23901i | 0.0602426 | + | 0.206481i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −36.7944 | − | 65.6283i | −1.21639 | − | 2.16960i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.260497 | + | 0.139635i | 0.00860237 | + | 0.00461115i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 12.4180 | − | 17.2287i | 0.409633 | − | 0.568322i | −0.555023 | − | 0.831835i | \(-0.687291\pi\) |
0.964656 | + | 0.263512i | \(0.0848810\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −47.7396 | + | 27.9655i | −1.57307 | + | 0.921495i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −1.73657 | + | 4.61947i | −0.0571597 | + | 0.152052i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.7807 | − | 24.9665i | −0.420225 | − | 0.820895i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 14.8486 | − | 17.6205i | 0.487693 | − | 0.578734i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 6.51041 | − | 4.88238i | 0.213600 | − | 0.160186i | −0.487796 | − | 0.872958i | \(-0.662199\pi\) |
0.701396 | + | 0.712772i | \(0.252561\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 31.7533 | − | 3.62121i | 1.04067 | − | 0.118680i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 14.4261 | − | 57.4479i | 0.472288 | − | 1.88076i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.0232208 | − | 0.0102684i | 0.000759402 | − | 0.000335814i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 25.8896 | − | 20.9920i | 0.845776 | − | 0.685780i | −0.105399 | − | 0.994430i | \(-0.533612\pi\) |
0.951176 | + | 0.308650i | \(0.0998771\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 8.29361 | − | 48.2204i | 0.270652 | − | 1.57361i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −18.8691 | + | 19.2296i | −0.615115 | + | 0.626868i | −0.948823 | − | 0.315808i | \(-0.897724\pi\) |
0.333708 | + | 0.942677i | \(0.391700\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −26.7554 | + | 2.02929i | −0.871277 | + | 0.0660829i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 8.72335 | + | 4.25921i | 0.283771 | + | 0.138552i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 8.15573 | − | 4.37174i | 0.265026 | − | 0.142062i | −0.334556 | − | 0.942376i | \(-0.608586\pi\) |
0.599582 | + | 0.800313i | \(0.295333\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.27248 | + | 7.39843i | 0.0413066 | + | 0.240163i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.747104 | + | 13.1447i | 0.0242265 | + | 0.426246i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −16.0419 | − | 19.0365i | −0.519648 | − | 0.616654i | 0.439953 | − | 0.898021i | \(-0.354995\pi\) |
−0.959600 | + | 0.281367i | \(0.909212\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.0622789 | − | 3.29039i | −0.00201530 | − | 0.106475i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −10.4098 | − | 1.58822i | −0.336502 | − | 0.0513400i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1.11630 | − | 11.7617i | 0.0360471 | − | 0.379804i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.98043 | + | 4.38473i | −0.289691 | + | 0.141443i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −51.9127 | − | 18.4017i | −1.67286 | − | 0.592985i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.74954 | + | 1.28871i | 0.152893 | + | 0.0414849i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 15.2557 | − | 13.3577i | 0.490592 | − | 0.429553i | −0.377461 | − | 0.926025i | \(-0.623203\pi\) |
0.868053 | + | 0.496472i | \(0.165371\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.0452743 | − | 0.0265213i | −0.00145442 | − | 0.000851988i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 40.8377 | − | 9.43718i | 1.31054 | − | 0.302853i | 0.488644 | − | 0.872484i | \(-0.337492\pi\) |
0.821901 | + | 0.569630i | \(0.192914\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.10252 | − | 2.82453i | 0.227696 | − | 0.0905504i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1.72451 | − | 4.10825i | −0.0552286 | − | 0.131569i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 8.59944 | + | 9.45426i | 0.275121 | + | 0.302468i | 0.861695 | − | 0.507427i | \(-0.169403\pi\) |
−0.586574 | + | 0.809895i | \(0.699524\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 33.2172 | + | 13.2098i | 1.06163 | + | 0.422188i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −46.9480 | − | 14.6671i | −1.49894 | − | 0.468284i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 17.0511 | − | 25.6499i | 0.543845 | − | 0.818104i | −0.453475 | − | 0.891269i | \(-0.649816\pi\) |
0.997320 | + | 0.0731646i | \(0.0233098\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 6.16441 | + | 0.467546i | 0.196415 | + | 0.0148972i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −4.05270 | + | 13.8906i | −0.128999 | + | 0.442143i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −10.8746 | + | 21.2431i | −0.345792 | + | 0.675492i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −9.55085 | + | 12.2457i | −0.303393 | + | 0.388999i | −0.915861 | − | 0.401497i | \(-0.868490\pi\) |
0.612468 | + | 0.790496i | \(0.290177\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 88.1290 | − | 23.9123i | 2.79669 | − | 0.758834i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −16.8006 | + | 36.1281i | −0.532615 | + | 1.14534i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6.23699 | + | 2.75805i | 0.197527 | + | 0.0873483i | 0.500829 | − | 0.865546i | \(-0.333029\pi\) |
−0.303301 | + | 0.952895i | \(0.598089\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −4.13251 | − | 31.0115i | −0.130747 | − | 0.981161i |
(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 | 668.2.e.a.9.2 | ✓ | 1148 | |
167.130 | even | 83 | inner | 668.2.e.a.297.2 | yes | 1148 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
668.2.e.a.9.2 | ✓ | 1148 | 1.1 | even | 1 | trivial | |
668.2.e.a.297.2 | yes | 1148 | 167.130 | even | 83 | inner |