Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(5,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.s (of order \(22\), degree \(10\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 161.10 | ||
Character | \(\chi\) | \(=\) | 804.161 |
Dual form | 804.2.s.b.5.10 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{22}\right)\) | \(1\) |
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 | ||||||||
\(3\) | −0.393301 | − | 1.68681i | −0.227073 | − | 0.973878i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.45254 | + | 1.01376i | 1.54402 | + | 0.453366i | 0.939308 | − | 0.343076i | \(-0.111469\pi\) |
0.604715 | + | 0.796442i | \(0.293287\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.403229 | + | 0.349400i | −0.152406 | + | 0.132061i | −0.727726 | − | 0.685868i | \(-0.759423\pi\) |
0.575320 | + | 0.817928i | \(0.304877\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.69063 | + | 1.32685i | −0.896876 | + | 0.442282i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.843418 | − | 0.247650i | −0.254300 | − | 0.0746692i | 0.152098 | − | 0.988365i | \(-0.451397\pi\) |
−0.406398 | + | 0.913696i | \(0.633215\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.49538 | − | 3.88288i | 0.692093 | − | 1.07692i | −0.300305 | − | 0.953843i | \(-0.597088\pi\) |
0.992397 | − | 0.123074i | \(-0.0392753\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.352124 | − | 6.22247i | 0.0909179 | − | 1.60664i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 6.49699 | − | 0.934126i | 1.57575 | − | 0.226559i | 0.701729 | − | 0.712444i | \(-0.252412\pi\) |
0.874023 | + | 0.485885i | \(0.161503\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.01843 | + | 1.17533i | −0.233644 | + | 0.269640i | −0.860449 | − | 0.509537i | \(-0.829817\pi\) |
0.626805 | + | 0.779176i | \(0.284362\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.747960 | + | 0.542749i | 0.163218 | + | 0.118438i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.87132 | − | 0.854604i | −0.390198 | − | 0.178197i | 0.210649 | − | 0.977562i | \(-0.432442\pi\) |
−0.600846 | + | 0.799365i | \(0.705170\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 6.68605 | + | 4.29687i | 1.33721 | + | 0.859373i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.29636 | + | 4.01672i | 0.634384 | + | 0.773018i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 3.54360i | − | 0.658030i | −0.944325 | − | 0.329015i | \(-0.893283\pi\) | ||
0.944325 | − | 0.329015i | \(-0.106717\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.94854 | + | 4.58802i | 0.529574 | + | 0.824033i | 0.998238 | − | 0.0593434i | \(-0.0189007\pi\) |
−0.468664 | + | 0.883377i | \(0.655264\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.0860200 | + | 1.52008i | −0.0149742 | + | 0.264613i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.74637 | + | 0.797540i | −0.295190 | + | 0.134809i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.30938 | 1.03726 | 0.518628 | − | 0.855000i | \(-0.326443\pi\) | ||||
0.518628 | + | 0.855000i | \(0.326443\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.53110 | − | 2.68207i | −1.20594 | − | 0.429475i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.58851 | − | 11.0483i | −0.248084 | − | 1.72546i | −0.609266 | − | 0.792966i | \(-0.708536\pi\) |
0.361182 | − | 0.932495i | \(-0.382373\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.21011 | − | 0.605322i | 0.642035 | − | 0.0923107i | 0.186395 | − | 0.982475i | \(-0.440320\pi\) |
0.455640 | + | 0.890164i | \(0.349410\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −10.6346 | + | 1.85334i | −1.58531 | + | 0.276280i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −8.24517 | − | 3.76544i | −1.20268 | − | 0.549246i | −0.289649 | − | 0.957133i | \(-0.593538\pi\) |
−0.913032 | + | 0.407887i | \(0.866266\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.955691 | + | 6.64697i | −0.136527 | + | 0.949568i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.13096 | − | 10.5918i | −0.578451 | − | 1.48314i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.880650 | + | 6.12505i | −0.120967 | + | 0.841341i | 0.835498 | + | 0.549493i | \(0.185179\pi\) |
−0.956465 | + | 0.291848i | \(0.905730\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.66088 | − | 1.71004i | −0.358792 | − | 0.230582i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.38311 | + | 1.25564i | 0.315650 | + | 0.166313i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.431424 | + | 0.671308i | 0.0561666 | + | 0.0873969i | 0.868201 | − | 0.496212i | \(-0.165276\pi\) |
−0.812035 | + | 0.583609i | \(0.801640\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.65734 | − | 5.64439i | −0.212201 | − | 0.722689i | −0.994952 | − | 0.100354i | \(-0.968002\pi\) |
0.782751 | − | 0.622335i | \(-0.213816\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.621339 | − | 1.47513i | 0.0782814 | − | 0.185849i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 12.5517 | − | 10.8761i | 1.55684 | − | 1.34901i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.80367 | − | 6.62757i | 0.586862 | − | 0.809687i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.705558 | + | 3.49267i | −0.0849392 | + | 0.420468i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.24010 | − | 0.465856i | −0.384529 | − | 0.0552869i | −0.0526601 | − | 0.998612i | \(-0.516770\pi\) |
−0.331869 | + | 0.943326i | \(0.607679\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.50675 | + | 1.32330i | −0.527475 | + | 0.154881i | −0.534618 | − | 0.845094i | \(-0.679545\pi\) |
0.00714274 | + | 0.999974i | \(0.497726\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 4.61835 | − | 12.9680i | 0.533281 | − | 1.49742i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.426619 | − | 0.194830i | 0.0486178 | − | 0.0222030i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.15200 | + | 1.79255i | −0.129610 | + | 0.201678i | −0.899993 | − | 0.435904i | \(-0.856429\pi\) |
0.770383 | + | 0.637582i | \(0.220065\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.47896 | − | 7.14010i | 0.608774 | − | 0.793344i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.393211 | + | 1.33915i | −0.0431605 | + | 0.146991i | −0.978254 | − | 0.207409i | \(-0.933497\pi\) |
0.935094 | + | 0.354400i | \(0.115315\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 23.3781 | + | 3.36126i | 2.53571 | + | 0.364580i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −5.97736 | + | 1.39370i | −0.640841 | + | 0.149420i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.163010 | − | 0.0744440i | 0.0172790 | − | 0.00789105i | −0.406757 | − | 0.913536i | \(-0.633340\pi\) |
0.424036 | + | 0.905645i | \(0.360613\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.350470 | + | 2.43757i | 0.0367392 | + | 0.255527i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.57944 | − | 6.77810i | 0.682256 | − | 0.702856i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4.70767 | + | 3.02544i | −0.482997 | + | 0.310403i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.07848i | 0.312572i | 0.987712 | + | 0.156286i | \(0.0499522\pi\) | ||||
−0.987712 | + | 0.156286i | \(0.950048\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.59792 | − | 0.452751i | 0.261100 | − | 0.0455032i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.92667 | − | 3.37755i | 0.291214 | − | 0.336079i | −0.591224 | − | 0.806507i | \(-0.701355\pi\) |
0.882438 | + | 0.470428i | \(0.155901\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.49986 | − | 0.963903i | 0.147786 | − | 0.0949762i | −0.464658 | − | 0.885490i | \(-0.653823\pi\) |
0.612444 | + | 0.790514i | \(0.290186\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.03214 | + | 2.63211i | 0.198317 | + | 0.256868i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.95591 | + | 6.66122i | 0.189085 | + | 0.643965i | 0.998398 | + | 0.0565865i | \(0.0180217\pi\) |
−0.809313 | + | 0.587378i | \(0.800160\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.3159 | + | 16.0519i | −0.988088 | + | 1.53750i | −0.152380 | + | 0.988322i | \(0.548694\pi\) |
−0.835709 | + | 0.549173i | \(0.814943\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.48149 | − | 10.6427i | −0.235532 | − | 1.01016i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −14.7239 | + | 4.32334i | −1.38511 | + | 0.406705i | −0.887545 | − | 0.460721i | \(-0.847591\pi\) |
−0.497566 | + | 0.867426i | \(0.665773\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.59445 | − | 4.84762i | −0.521685 | − | 0.452043i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.56215 | + | 13.7584i | −0.144421 | + | 1.27196i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.29339 | + | 2.64671i | −0.210235 | + | 0.242624i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.60377 | − | 5.52930i | −0.782161 | − | 0.502664i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −18.0116 | + | 7.02484i | −1.62406 | + | 0.633408i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 6.94597 | + | 8.01608i | 0.621266 | + | 0.716980i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.7273 | + | 14.6881i | 1.12937 | + | 1.30336i | 0.947398 | + | 0.320058i | \(0.103702\pi\) |
0.181971 | + | 0.983304i | \(0.441752\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.67690 | − | 6.86356i | −0.235688 | − | 0.604303i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −11.7755 | − | 5.37767i | −1.02883 | − | 0.469849i | −0.171806 | − | 0.985131i | \(-0.554960\pi\) |
−0.857021 | + | 0.515281i | \(0.827687\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 0.829767i | − | 0.0719500i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 7.30883 | + | 17.2096i | 0.629044 | + | 1.48116i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −7.14425 | + | 15.6437i | −0.610374 | + | 1.33653i | 0.311944 | + | 0.950101i | \(0.399020\pi\) |
−0.922318 | + | 0.386432i | \(0.873707\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.06115 | − | 17.2367i | 0.429281 | − | 1.46200i | −0.406864 | − | 0.913489i | \(-0.633378\pi\) |
0.836145 | − | 0.548509i | \(-0.184804\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.10874 | + | 15.3889i | −0.261803 | + | 1.29598i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −3.06624 | + | 2.65691i | −0.256412 | + | 0.222182i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.59235 | − | 12.2344i | 0.298328 | − | 1.01601i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 11.5880 | − | 1.00220i | 0.955765 | − | 0.0826599i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −5.57355 | − | 4.82951i | −0.456603 | − | 0.395649i | 0.395965 | − | 0.918266i | \(-0.370410\pi\) |
−0.852568 | + | 0.522617i | \(0.824956\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.82914 | + | 19.6771i | 0.230232 | + | 1.60130i | 0.697101 | + | 0.716973i | \(0.254473\pi\) |
−0.466869 | + | 0.884327i | \(0.654618\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −16.2415 | + | 11.1339i | −1.31305 | + | 0.900122i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.52882 | + | 18.8294i | 0.444086 | + | 1.51242i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.31680 | + | 11.6422i | −0.424327 | + | 0.929146i | 0.569886 | + | 0.821723i | \(0.306987\pi\) |
−0.994213 | + | 0.107423i | \(0.965740\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 10.6781 | − | 0.923505i | 0.846831 | − | 0.0732387i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.05317 | − | 0.309238i | 0.0830014 | − | 0.0243714i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.1841 | 1.03266 | 0.516328 | − | 0.856391i | \(-0.327299\pi\) | ||||
0.516328 | + | 0.856391i | \(0.327299\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.83798 | + | 5.16094i | −0.143087 | + | 0.401779i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −16.9979 | − | 14.7288i | −1.31534 | − | 1.13975i | −0.980294 | − | 0.197542i | \(-0.936704\pi\) |
−0.335042 | − | 0.942203i | \(-0.608750\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.44947 | − | 7.55328i | −0.265344 | − | 0.581022i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.18074 | − | 4.51368i | 0.0902931 | − | 0.345170i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 3.64796 | + | 5.67634i | 0.277349 | + | 0.431564i | 0.951783 | − | 0.306771i | \(-0.0992487\pi\) |
−0.674434 | + | 0.738335i | \(0.735612\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.19733 | + | 0.603485i | −0.317289 | + | 0.0456192i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.962688 | − | 0.991754i | 0.0723600 | − | 0.0745448i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.58099 | + | 16.6001i | 0.566630 | + | 1.24075i | 0.948572 | + | 0.316560i | \(0.102528\pi\) |
−0.381942 | + | 0.924186i | \(0.624745\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.25678 | + | 15.8901i | −0.539392 | + | 1.18110i | 0.422170 | + | 0.906517i | \(0.361269\pi\) |
−0.961562 | + | 0.274587i | \(0.911459\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −8.86915 | + | 5.01556i | −0.655626 | + | 0.370761i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 21.7834 | + | 6.39618i | 1.60155 | + | 0.470256i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.71101 | − | 0.821120i | −0.417631 | − | 0.0600462i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.73263 | − | 0.467910i | −0.198769 | − | 0.0340354i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.54526 | + | 9.95273i | 0.328883 | + | 0.720154i | 0.999771 | − | 0.0214049i | \(-0.00681392\pi\) |
−0.670887 | + | 0.741559i | \(0.734087\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.0851 | + | 6.48129i | −0.725941 | + | 0.466534i | −0.850699 | − | 0.525653i | \(-0.823821\pi\) |
0.124758 | + | 0.992187i | \(0.460185\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −23.2824 | − | 16.8947i | −1.66729 | − | 1.20985i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.10270 | + | 7.66945i | −0.0785642 | + | 0.546426i | 0.912086 | + | 0.409999i | \(0.134471\pi\) |
−0.990650 | + | 0.136427i | \(0.956438\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.317248 | + | 0.366124i | 0.0224891 | + | 0.0259538i | 0.766883 | − | 0.641787i | \(-0.221807\pi\) |
−0.744394 | + | 0.667741i | \(0.767261\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −13.0687 | − | 5.49623i | −0.921797 | − | 0.387674i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.23813 | + | 1.42888i | 0.0868999 | + | 0.100288i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.71593 | − | 39.7552i | 0.399218 | − | 2.77662i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 6.16896 | − | 0.183533i | 0.428772 | − | 0.0127564i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.15003 | − | 0.739082i | 0.0795495 | − | 0.0511234i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.84812 | + | 10.6159i | 0.333758 | + | 0.730828i | 0.999887 | − | 0.0150079i | \(-0.00477734\pi\) |
−0.666129 | + | 0.745836i | \(0.732050\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.488526 | + | 5.64864i | 0.0334732 | + | 0.387038i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 15.1492 | + | 2.17813i | 1.03317 | + | 0.148547i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.79199 | − | 0.819803i | −0.189533 | − | 0.0556518i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 4.00466 | + | 7.08156i | 0.270610 | + | 0.478527i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 12.5853 | − | 27.5580i | 0.846581 | − | 1.85375i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.2385 | − | 24.6088i | −0.752584 | − | 1.64793i | −0.761665 | − | 0.647971i | \(-0.775618\pi\) |
0.00908061 | − | 0.999959i | \(-0.497110\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −23.6910 | − | 2.68991i | −1.57940 | − | 0.179327i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 10.3756 | − | 1.49178i | 0.688652 | − | 0.0990132i | 0.210899 | − | 0.977508i | \(-0.432361\pi\) |
0.477752 | + | 0.878495i | \(0.341452\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.49616 | + | 5.44013i | 0.231033 | + | 0.359494i | 0.937343 | − | 0.348409i | \(-0.113278\pi\) |
−0.706310 | + | 0.707903i | \(0.749641\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.496431 | − | 0.642997i | −0.0326628 | − | 0.0423061i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.37287 | − | 5.19586i | −0.155452 | − | 0.340392i | 0.815842 | − | 0.578275i | \(-0.196274\pi\) |
−0.971294 | + | 0.237883i | \(0.923547\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −24.6495 | − | 21.3589i | −1.60796 | − | 1.39330i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.47677 | + | 1.23819i | 0.225840 | + | 0.0804292i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.72434 | 0.240907 | 0.120454 | − | 0.992719i | \(-0.461565\pi\) | ||||
0.120454 | + | 0.992719i | \(0.461565\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.00745 | − | 0.295814i | 0.0648955 | − | 0.0190550i | −0.249124 | − | 0.968472i | \(-0.580143\pi\) |
0.314019 | + | 0.949417i | \(0.398324\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −14.1988 | − | 6.43374i | −0.910856 | − | 0.412724i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −10.0380 | + | 21.9801i | −0.641303 | + | 1.40426i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.02231 | + | 6.88734i | 0.128676 | + | 0.438231i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 2.41354 | + | 0.136580i | 0.152952 | + | 0.00865541i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.48784 | − | 10.3481i | −0.0939115 | − | 0.653169i | −0.981348 | − | 0.192239i | \(-0.938425\pi\) |
0.887437 | − | 0.460930i | \(-0.152484\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.36666 | + | 1.18422i | 0.0859214 | + | 0.0744513i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −3.52483 | − | 40.7563i | −0.220734 | − | 2.55226i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 4.05802 | − | 13.8203i | 0.253132 | − | 0.862089i | −0.730655 | − | 0.682747i | \(-0.760785\pi\) |
0.983787 | − | 0.179342i | \(-0.0573968\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.54412 | + | 2.20450i | −0.158084 | + | 0.136981i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.70181 | + | 9.53451i | 0.291035 | + | 0.590171i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 6.35551 | − | 21.6449i | 0.391898 | − | 1.33468i | −0.493460 | − | 0.869769i | \(-0.664268\pi\) |
0.885357 | − | 0.464912i | \(-0.153914\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.24979 | + | 20.2542i | −0.568210 | + | 1.24421i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.189684 | − | 0.245687i | −0.0116085 | − | 0.0150358i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 23.7751i | 1.44960i | 0.688962 | + | 0.724798i | \(0.258067\pi\) | ||||
−0.688962 | + | 0.724798i | \(0.741933\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 27.9570 | + | 12.7676i | 1.69827 | + | 0.775574i | 0.998101 | + | 0.0615959i | \(0.0196190\pi\) |
0.700168 | + | 0.713978i | \(0.253108\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 3.97387 | − | 1.54988i | 0.240510 | − | 0.0938027i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −4.57502 | − | 5.27985i | −0.275884 | − | 0.318387i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.85148 | + | 4.44485i | 0.231413 | + | 0.267065i | 0.859566 | − | 0.511025i | \(-0.170734\pi\) |
−0.628153 | + | 0.778090i | \(0.716189\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −14.0210 | − | 8.43240i | −0.839417 | − | 0.504835i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.93616 | + | 3.17228i | 0.294467 | + | 0.189242i | 0.679530 | − | 0.733648i | \(-0.262184\pi\) |
−0.385063 | + | 0.922890i | \(0.625820\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −17.6010 | + | 20.3126i | −1.04627 | + | 1.20746i | −0.0685298 | + | 0.997649i | \(0.521831\pi\) |
−0.977742 | + | 0.209813i | \(0.932715\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 6.95486 | + | 6.75102i | 0.411970 | + | 0.399896i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.50082 | + | 3.89998i | 0.265675 | + | 0.230209i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 25.0269 | − | 7.34856i | 1.47217 | − | 0.432268i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 5.19279 | − | 1.21077i | 0.304407 | − | 0.0709765i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.40318 | + | 5.29545i | −0.198816 | + | 0.309364i | −0.926319 | − | 0.376741i | \(-0.877045\pi\) |
0.727503 | + | 0.686105i | \(0.240681\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.808964 | + | 2.75508i | 0.0470997 | + | 0.160407i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1.78547 | − | 4.20411i | −0.103603 | − | 0.243947i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −7.98798 | + | 5.13356i | −0.461957 | + | 0.296881i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.48614 | + | 1.71509i | −0.0856595 | + | 0.0988563i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −6.84834 | − | 3.60832i | −0.393427 | − | 0.207293i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | − | 21.1676i | − | 1.21205i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −25.9210 | + | 16.6584i | −1.47939 | + | 0.950747i | −0.482184 | + | 0.876070i | \(0.660156\pi\) |
−0.997208 | + | 0.0746775i | \(0.976207\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.21581 | − | 2.15087i | −0.126053 | − | 0.122359i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.85323 | − | 26.7998i | −0.218497 | − | 1.51968i | −0.743591 | − | 0.668635i | \(-0.766879\pi\) |
0.525094 | − | 0.851044i | \(-0.324030\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.0443396 | − | 0.0202492i | 0.00250622 | − | 0.00114455i | −0.414162 | − | 0.910203i | \(-0.635925\pi\) |
0.416668 | + | 0.909059i | \(0.363198\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.64062 | − | 4.46305i | 0.205126 | − | 0.251464i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −24.3438 | − | 3.50011i | −1.36728 | − | 0.196586i | −0.580725 | − | 0.814100i | \(-0.697231\pi\) |
−0.786560 | + | 0.617514i | \(0.788140\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.877571 | + | 2.98873i | −0.0491346 | + | 0.167337i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 10.4669 | − | 5.91911i | 0.584207 | − | 0.330372i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −5.51883 | + | 8.58747i | −0.307076 | + | 0.477819i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 33.3684 | − | 15.2389i | 1.85095 | − | 0.845299i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 31.1337 | + | 11.0878i | 1.72170 | + | 0.613154i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 4.64033 | − | 1.36252i | 0.255830 | − | 0.0751184i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −28.6734 | − | 4.12262i | −1.57603 | − | 0.226600i | −0.701897 | − | 0.712278i | \(-0.747663\pi\) |
−0.874137 | + | 0.485679i | \(0.838572\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −16.9762 | + | 8.37157i | −0.930290 | + | 0.458759i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 23.3036 | − | 18.0122i | 1.27321 | − | 0.984112i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 18.6056 | − | 16.1218i | 1.01351 | − | 0.878213i | 0.0209282 | − | 0.999781i | \(-0.493338\pi\) |
0.992583 | + | 0.121568i | \(0.0387924\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 13.0836 | + | 23.1360i | 0.710602 | + | 1.25658i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.35063 | − | 4.59983i | −0.0731408 | − | 0.249095i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.95629 | − | 6.15611i | −0.213620 | − | 0.332399i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −5.97669 | + | 11.3433i | −0.321774 | + | 0.610704i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −10.9803 | − | 7.05658i | −0.589451 | − | 0.378817i | 0.211651 | − | 0.977345i | \(-0.432116\pi\) |
−0.801102 | + | 0.598528i | \(0.795752\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.55366 | − | 24.7162i | 0.190223 | − | 1.32303i | −0.641194 | − | 0.767379i | \(-0.721561\pi\) |
0.831417 | − | 0.555650i | \(-0.187530\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 23.8221 | − | 2.77614i | 1.27153 | − | 0.148180i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −5.20707 | + | 36.2159i | −0.277144 | + | 1.92758i | 0.0869396 | + | 0.996214i | \(0.472291\pi\) |
−0.364084 | + | 0.931366i | \(0.618618\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −10.7143 | − | 4.89305i | −0.568656 | − | 0.259696i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 5.36648 | + | 2.82755i | 0.284024 | + | 0.149650i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 12.3469 | − | 1.77521i | 0.651643 | − | 0.0936921i | 0.191438 | − | 0.981505i | \(-0.438685\pi\) |
0.460205 | + | 0.887813i | \(0.347776\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.35978 | + | 16.4126i | 0.124199 | + | 0.863822i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −5.94299 | + | 16.6876i | −0.311926 | + | 0.875870i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −16.9012 | −0.884651 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 29.9811 | − | 13.6919i | 1.56500 | − | 0.714712i | 0.570683 | − | 0.821170i | \(-0.306678\pi\) |
0.994317 | + | 0.106459i | \(0.0339512\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 18.9335 | + | 27.6193i | 0.985641 | + | 1.43780i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.78499 | − | 2.77750i | −0.0926720 | − | 0.144200i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 34.5460i | 1.78872i | 0.447344 | + | 0.894362i | \(0.352370\pi\) | ||||
−0.447344 | + | 0.894362i | \(0.647630\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 10.7897 | − | 14.8692i | 0.557178 | − | 0.767844i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −13.7594 | − | 8.84261i | −0.708644 | − | 0.455418i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.63231 | − | 3.02887i | −0.340679 | − | 0.155583i | 0.237727 | − | 0.971332i | \(-0.423598\pi\) |
−0.578406 | + | 0.815749i | \(0.696325\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 19.7704 | − | 27.2454i | 1.01287 | − | 1.39583i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.80832 | + | 9.01128i | −0.398986 | + | 0.460455i | −0.919321 | − | 0.393507i | \(-0.871262\pi\) |
0.520335 | + | 0.853962i | \(0.325807\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.67043 | − | 0.240172i | 0.0851330 | − | 0.0122403i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −10.5247 | + | 7.21486i | −0.534999 | + | 0.366752i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −4.09382 | + | 6.37010i | −0.207565 | + | 0.322977i | −0.929391 | − | 0.369098i | \(-0.879667\pi\) |
0.721826 | + | 0.692075i | \(0.243303\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −12.9563 | − | 3.80430i | −0.655227 | − | 0.192392i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.43979 | + | 21.9780i | −0.223958 | + | 1.10864i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −5.79454 | + | 5.02100i | −0.291555 | + | 0.252634i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −19.8773 | − | 5.83650i | −0.997612 | − | 0.292925i | −0.258136 | − | 0.966108i | \(-0.583108\pi\) |
−0.739476 | + | 0.673183i | \(0.764927\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.39966 | + | 0.326349i | −0.0700705 | + | 0.0163379i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 32.6440 | 1.63016 | 0.815082 | − | 0.579346i | \(-0.196692\pi\) | ||||
0.815082 | + | 0.579346i | \(0.196692\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 25.1725 | 1.25393 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 26.1547 | − | 19.0971i | 1.29964 | − | 0.948944i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.32144 | − | 1.56252i | −0.263774 | − | 0.0774511i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.77856 | + | 1.54113i | −0.0879442 | + | 0.0762041i | −0.697723 | − | 0.716367i | \(-0.745804\pi\) |
0.609779 | + | 0.792571i | \(0.291258\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 29.1978 | + | 5.89826i | 1.44022 | + | 0.290940i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.408517 | − | 0.119952i | −0.0201018 | − | 0.00590243i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.71515 | + | 4.22486i | −0.133282 | + | 0.207390i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −31.0655 | − | 1.75797i | −1.52128 | − | 0.0860880i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −26.2060 | + | 3.76786i | −1.28025 | + | 0.184072i | −0.748673 | − | 0.662939i | \(-0.769309\pi\) |
−0.531575 | + | 0.847011i | \(0.678400\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.7519 | − | 14.7165i | 0.621490 | − | 0.717238i | −0.354499 | − | 0.935056i | \(-0.615349\pi\) |
0.975989 | + | 0.217818i | \(0.0698940\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 27.1808 | − | 0.808658i | 1.32158 | − | 0.0393183i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 47.4530 | + | 21.6711i | 2.30181 | + | 1.05120i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.64043 | + | 1.69690i | 0.127780 | + | 0.0821189i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 5.68765 | + | 4.12718i | 0.274602 | + | 0.199262i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 26.5469i | − | 1.27872i | −0.768908 | − | 0.639360i | \(-0.779199\pi\) | ||
0.768908 | − | 0.639360i | \(-0.220801\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.6277 | − | 21.2051i | −0.654904 | − | 1.01905i | −0.996848 | − | 0.0793307i | \(-0.974722\pi\) |
0.341944 | − | 0.939720i | \(-0.388915\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −22.0500 | − | 1.24778i | −1.05721 | − | 0.0598267i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.91026 | − | 1.32907i | 0.139216 | − | 0.0635780i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −9.69798 | −0.462859 | −0.231430 | − | 0.972852i | \(-0.574340\pi\) | ||||
−0.231430 | + | 0.972852i | \(0.574340\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.24810 | − | 19.1526i | −0.297529 | − | 0.912028i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −3.46305 | − | 24.0860i | −0.164534 | − | 1.14436i | −0.889952 | − | 0.456054i | \(-0.849263\pi\) |
0.725418 | − | 0.688309i | \(-0.241647\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.638265 | − | 0.0917687i | 0.0302567 | − | 0.00435025i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −5.95436 | + | 11.3009i | −0.281632 | + | 0.534516i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.5737 | − | 8.48232i | −0.876547 | − | 0.400306i | −0.0742564 | − | 0.997239i | \(-0.523658\pi\) |
−0.802291 | + | 0.596934i | \(0.796386\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.39634 | + | 9.71176i | −0.0657511 | + | 0.457309i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 32.0787 | − | 12.5112i | 1.50719 | − | 0.587829i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1.26109 | + | 8.77111i | −0.0591210 | + | 0.411196i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −11.6428 | − | 7.48240i | −0.544629 | − | 0.350012i | 0.239218 | − | 0.970966i | \(-0.423109\pi\) |
−0.783847 | + | 0.620954i | \(0.786745\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 25.1685 | + | 23.0174i | 1.17477 | + | 1.07436i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9.65928 | − | 15.0301i | −0.449877 | − | 0.700023i | 0.540045 | − | 0.841636i | \(-0.318407\pi\) |
−0.989922 | + | 0.141613i | \(0.954771\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.26786 | − | 14.5350i | −0.198344 | − | 0.675498i | −0.997255 | − | 0.0740482i | \(-0.976408\pi\) |
0.798911 | − | 0.601450i | \(-0.205410\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 29.5871 | − | 16.7317i | 1.37207 | − | 0.775913i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 12.3289 | − | 10.6831i | 0.570516 | − | 0.494355i | −0.321163 | − | 0.947024i | \(-0.604074\pi\) |
0.891678 | + | 0.452669i | \(0.149528\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.378694 | + | 4.35083i | 0.0174865 | + | 0.200903i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 21.7292 | + | 4.38953i | 1.00123 | + | 0.202259i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3.70079 | − | 0.532093i | −0.170162 | − | 0.0244657i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −11.8595 | + | 3.48227i | −0.544153 | + | 0.159778i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.75750 | − | 17.6487i | −0.263618 | − | 0.808080i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 5.69939 | − | 2.60282i | 0.260412 | − | 0.118926i | −0.280931 | − | 0.959728i | \(-0.590643\pi\) |
0.541343 | + | 0.840802i | \(0.317916\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 15.7443 | − | 24.4986i | 0.717877 | − | 1.11704i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.935838 | − | 1.65487i | −0.0425821 | − | 0.0752991i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3.12083 | + | 10.6286i | −0.141709 | + | 0.482618i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −5.71344 | − | 0.821468i | −0.258901 | − | 0.0372243i | 0.0116422 | − | 0.999932i | \(-0.496294\pi\) |
−0.270543 | + | 0.962708i | \(0.587203\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −5.18531 | − | 22.2389i | −0.234488 | − | 1.00568i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 18.9804 | − | 8.66806i | 0.856574 | − | 0.391184i | 0.0617992 | − | 0.998089i | \(-0.480316\pi\) |
0.794775 | + | 0.606904i | \(0.207589\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.31017 | − | 23.0227i | −0.149082 | − | 1.03689i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 9.42839 | + | 1.07051i | 0.423775 | + | 0.0481160i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.46927 | − | 0.944243i | 0.0659058 | − | 0.0423551i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8.03703i | 0.359787i | 0.983686 | + | 0.179893i | \(0.0575753\pi\) | ||||
−0.983686 | + | 0.179893i | \(0.942425\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −18.1593 | + | 34.4650i | −0.811296 | + | 1.53978i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 0.626975 | − | 0.723568i | 0.0279554 | − | 0.0322623i | −0.741600 | − | 0.670843i | \(-0.765933\pi\) |
0.769555 | + | 0.638580i | \(0.220478\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 13.5284 | − | 8.69420i | 0.602008 | − | 0.386887i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −11.3842 | + | 8.78930i | −0.505592 | + | 0.390346i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −7.88963 | − | 26.8696i | −0.349702 | − | 1.19097i | −0.927195 | − | 0.374579i | \(-0.877787\pi\) |
0.577493 | − | 0.816396i | \(-0.304031\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.35489 | − | 2.10825i | 0.0599368 | − | 0.0932635i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −8.07809 | − | 0.216435i | −0.356657 | − | 0.00955584i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 6.15550 | − | 1.80742i | 0.271244 | − | 0.0796443i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.02161 | + | 5.21775i | 0.264830 | + | 0.229477i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 8.14013 | − | 8.38591i | 0.357312 | − | 0.368101i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 21.7553 | − | 25.1070i | 0.953119 | − | 1.09996i | −0.0417847 | − | 0.999127i | \(-0.513304\pi\) |
0.994904 | − | 0.100831i | \(-0.0321502\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.23105 | − | 2.07647i | −0.141284 | − | 0.0907977i | 0.468089 | − | 0.883681i | \(-0.344943\pi\) |
−0.609373 | + | 0.792883i | \(0.708579\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 2.66878 | + | 6.84273i | 0.116475 | + | 0.298641i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 23.4425 | + | 27.0540i | 1.02117 | + | 1.17849i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −12.2903 | − | 14.1838i | −0.534361 | − | 0.616685i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2.05152 | − | 1.23381i | −0.0890285 | − | 0.0535427i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −46.8633 | − | 21.4018i | −2.02988 | − | 0.927013i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 24.9809i | 1.08002i | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 25.0195 | − | 19.3165i | 1.07967 | − | 0.833568i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 2.45217 | − | 5.36950i | 0.105622 | − | 0.231281i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.61900 | − | 15.7309i | 0.198586 | − | 0.676323i | −0.798634 | − | 0.601817i | \(-0.794444\pi\) |
0.997221 | − | 0.0745062i | \(-0.0237381\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 29.6577 | + | 5.99117i | 1.27273 | + | 0.257106i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −51.8889 | + | 44.9620i | −2.22268 | + | 1.92596i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.24133 | + | 28.0674i | −0.352374 | + | 1.20007i | 0.572533 | + | 0.819881i | \(0.305961\pi\) |
−0.924907 | + | 0.380193i | \(0.875858\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 11.9485 | + | 12.9879i | 0.509950 | + | 0.554310i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.16491 | + | 3.60891i | 0.177431 | + | 0.153745i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.161796 | − | 1.12532i | −0.00688027 | − | 0.0478534i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.22168 | − | 39.2600i | 0.0943051 | − | 1.66649i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −6.62330 | − | 22.5569i | −0.280638 | − | 0.955765i | −0.972338 | − | 0.233580i | \(-0.924956\pi\) |
0.691700 | − | 0.722185i | \(-0.256862\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.15541 | − | 17.8578i | 0.344937 | − | 0.755306i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.861079 | + | 9.95632i | 0.0363548 | + | 0.420356i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −26.7894 | + | 7.86607i | −1.12904 | + | 0.331515i | −0.792329 | − | 0.610094i | \(-0.791132\pi\) |
−0.336708 | + | 0.941609i | \(0.609314\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −55.2178 | −2.32303 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.285472 | + | 4.79344i | 0.0119887 | + | 0.201306i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −27.6340 | − | 23.9450i | −1.15848 | − | 1.00382i | −0.999864 | − | 0.0164839i | \(-0.994753\pi\) |
−0.158612 | − | 0.987341i | \(-0.550702\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.5299 | + | 31.8160i | 0.608057 | + | 1.33146i | 0.923895 | + | 0.382646i | \(0.124987\pi\) |
−0.315838 | + | 0.948813i | \(0.602285\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 15.0007 | − | 11.5814i | 0.626662 | − | 0.483820i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −8.83964 | − | 13.7547i | −0.368638 | − | 0.573612i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.5894 | + | 1.66631i | −0.482475 | + | 0.0693694i | −0.379261 | − | 0.925290i | \(-0.623822\pi\) |
−0.103214 | + | 0.994659i | \(0.532913\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 14.8992 | + | 14.4625i | 0.619188 | + | 0.601041i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.309346 | − | 0.677374i | −0.0128338 | − | 0.0281022i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.25962 | − | 4.94789i | 0.0935840 | − | 0.204920i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −19.3410 | + | 45.9177i | −0.799652 | + | 1.89846i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 12.3037 | + | 3.61268i | 0.507826 | + | 0.149111i | 0.525602 | − | 0.850731i | \(-0.323840\pi\) |
−0.0177754 | + | 0.999842i | \(0.505658\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.39534 | − | 1.20707i | −0.345924 | − | 0.0497364i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 13.3706 | − | 1.15636i | 0.549992 | − | 0.0475664i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 11.9991 | + | 26.2744i | 0.492744 | + | 1.07896i | 0.978760 | + | 0.205009i | \(0.0657223\pi\) |
−0.486016 | + | 0.873950i | \(0.661550\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10.6011 | + | 6.81294i | −0.434604 | + | 0.279303i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0.492806 | − | 0.679133i | 0.0201692 | − | 0.0277951i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 4.51941 | − | 31.4332i | 0.184658 | − | 1.28432i | −0.660913 | − | 0.750462i | \(-0.729831\pi\) |
0.845571 | − | 0.533862i | \(-0.179260\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −16.0531 | − | 18.5263i | −0.654820 | − | 0.755703i | 0.327102 | − | 0.944989i | \(-0.393928\pi\) |
−0.981922 | + | 0.189287i | \(0.939382\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −4.13113 | + | 24.2061i | −0.168232 | + | 0.985747i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −24.0995 | − | 27.8123i | −0.979783 | − | 1.13073i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.93516 | + | 34.3248i | −0.200312 | + | 1.39320i | 0.603048 | + | 0.797705i | \(0.293953\pi\) |
−0.803360 | + | 0.595494i | \(0.796956\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1.92329 | − | 2.65047i | 0.0779355 | − | 0.107402i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −35.1956 | + | 22.6188i | −1.42386 | + | 0.915059i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.27604 | − | 2.79414i | −0.0515388 | − | 0.112854i | 0.882111 | − | 0.471042i | \(-0.156122\pi\) |
−0.933650 | + | 0.358188i | \(0.883395\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −69.3074 | + | 5.99409i | −2.79474 | + | 0.241705i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 39.1417 | + | 5.62773i | 1.57578 | + | 0.226564i | 0.874036 | − | 0.485861i | \(-0.161494\pi\) |
0.701749 | + | 0.712424i | \(0.252403\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.65459 | + | 1.95396i | 0.267471 | + | 0.0785364i | 0.412718 | − | 0.910859i | \(-0.364580\pi\) |
−0.145247 | + | 0.989395i | \(0.546398\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −2.73584 | − | 10.3337i | −0.109786 | − | 0.414675i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.0397195 | + | 0.0869735i | −0.00159133 | + | 0.00348452i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.653146 | − | 1.43019i | −0.0261259 | − | 0.0572076i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.69900 | − | 1.64920i | −0.0678514 | − | 0.0658628i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 40.9920 | − | 5.89376i | 1.63446 | − | 0.234999i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.95415 | + | 4.59675i | 0.117603 | + | 0.182994i | 0.895065 | − | 0.445937i | \(-0.147129\pi\) |
−0.777462 | + | 0.628931i | \(0.783493\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 16.0002 | − | 12.3531i | 0.635950 | − | 0.490991i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 29.0515 | + | 63.6138i | 1.15287 | + | 2.52444i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 23.4246 | + | 20.2975i | 0.928116 | + | 0.804218i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 9.33601 | − | 3.04566i | 0.369327 | − | 0.120485i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.86830 | −0.0737935 | −0.0368968 | − | 0.999319i | \(-0.511747\pi\) | ||||
−0.0368968 | + | 0.999319i | \(0.511747\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.5122 | + | 6.31654i | −0.848357 | + | 0.249100i | −0.676885 | − | 0.736089i | \(-0.736671\pi\) |
−0.171472 | + | 0.985189i | \(0.554852\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.28412 | − | 26.4104i | −0.0899372 | − | 1.03991i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −7.18251 | + | 15.7275i | −0.282374 | + | 0.618312i | −0.996671 | − | 0.0815305i | \(-0.974019\pi\) |
0.714297 | + | 0.699842i | \(0.246746\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.197621 | − | 0.673035i | −0.00775730 | − | 0.0264190i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.284755 | + | 5.03198i | −0.0111604 | + | 0.197219i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 1.42691 | + | 9.92438i | 0.0558393 | + | 0.388371i | 0.998506 | + | 0.0546361i | \(0.0173999\pi\) |
−0.942667 | + | 0.333735i | \(0.891691\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −35.2036 | − | 30.5041i | −1.37552 | − | 1.19189i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 10.3702 | − | 9.54028i | 0.404579 | − | 0.372202i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −4.69024 | + | 15.9735i | −0.182706 | + | 0.622239i | 0.816299 | + | 0.577630i | \(0.196022\pi\) |
−0.999005 | + | 0.0446089i | \(0.985796\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.32675 | − | 4.61565i | 0.207187 | − | 0.179528i | −0.545086 | − | 0.838380i | \(-0.683503\pi\) |
0.752273 | + | 0.658852i | \(0.228958\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −51.4349 | − | 10.3904i | −1.99757 | − | 0.403530i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.841182 | − | 2.86480i | 0.0326197 | − | 0.111092i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.02837 | + | 6.63121i | −0.117259 | + | 0.256762i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −37.0902 | + | 28.6358i | −1.43399 | + | 1.10712i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 5.17102i | 0.199625i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −11.4992 | − | 5.25151i | −0.443262 | − | 0.202431i | 0.181265 | − | 0.983434i | \(-0.441981\pi\) |
−0.624527 | + | 0.781003i | \(0.714708\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 4.78033 | + | 41.0200i | 0.183995 | + | 1.57886i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 19.7763 | + | 22.8231i | 0.760065 | + | 0.877162i | 0.995503 | − | 0.0947271i | \(-0.0301979\pi\) |
−0.235438 | + | 0.971889i | \(0.575652\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.07562 | − | 1.24133i | −0.0412785 | − | 0.0476379i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −6.59708 | − | 16.9149i | −0.252801 | − | 0.648179i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.04095 | − | 4.52494i | −0.269415 | − | 0.173142i | 0.398957 | − | 0.916969i | \(-0.369372\pi\) |
−0.668372 | + | 0.743827i | \(0.733009\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −40.5247 | + | 46.7680i | −1.54837 | + | 1.78691i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7.80140 | − | 8.03696i | 0.297642 | − | 0.306629i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 21.5853 | + | 18.7038i | 0.822334 | + | 0.712557i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 15.4212 | − | 4.52806i | 0.586648 | − | 0.172255i | 0.0250794 | − | 0.999685i | \(-0.492016\pi\) |
0.561569 | + | 0.827430i | \(0.310198\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.889364 | + | 1.09027i | −0.0337841 | + | 0.0414161i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 34.9476 | − | 54.3796i | 1.32564 | − | 2.06274i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −20.6411 | − | 70.2971i | −0.781837 | − | 2.66269i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −7.83115 | + | 6.04611i | −0.296201 | + | 0.228685i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −27.0674 | + | 17.3951i | −1.02232 | + | 0.657005i | −0.940553 | − | 0.339646i | \(-0.889693\pi\) |
−0.0817670 | + | 0.996651i | \(0.526056\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.42567 | + | 7.41562i | −0.242349 | + | 0.279685i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −26.3337 | + | 49.9794i | −0.991784 | + | 1.88233i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 2.38450i | 0.0896785i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.4091 | − | 9.90282i | 0.578700 | − | 0.371908i | −0.218305 | − | 0.975881i | \(-0.570053\pi\) |
0.797005 | + | 0.603973i | \(0.206416\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.721172 | − | 6.35162i | 0.0270461 | − | 0.238204i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.59673 | − | 11.1055i | −0.0597980 | − | 0.415904i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −13.2798 | + | 6.06467i | −0.496635 | + | 0.226806i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.46479 | − | 6.28223i | −0.0547034 | − | 0.234614i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −13.1317 | − | 1.88805i | −0.489729 | − | 0.0704125i | −0.106973 | − | 0.994262i | \(-0.534116\pi\) |
−0.382756 | + | 0.923849i | \(0.625025\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.268000 | + | 0.912725i | −0.00998085 | + | 0.0339917i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −0.895211 | − | 1.58303i | −0.0332933 | − | 0.0588734i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 15.2264 | − | 23.6927i | 0.565493 | − | 0.879924i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 27.4715 | − | 12.5458i | 1.01886 | − | 0.465298i | 0.165274 | − | 0.986248i | \(-0.447149\pi\) |
0.853587 | + | 0.520950i | \(0.174422\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −5.26805 | + | 26.4811i | −0.195113 | + | 0.980781i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 26.7876 | − | 7.86554i | 0.990774 | − | 0.290918i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 21.1843 | + | 3.04584i | 0.782460 | + | 0.112501i | 0.521957 | − | 0.852972i | \(-0.325202\pi\) |
0.260504 | + | 0.965473i | \(0.416111\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 41.0241 | + | 8.28732i | 1.51320 | + | 0.305682i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −5.69282 | + | 4.40019i | −0.209698 | + | 0.162083i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 28.5238 | − | 24.7160i | 1.04927 | − | 0.909194i | 0.0532690 | − | 0.998580i | \(-0.483036\pi\) |
0.995997 | + | 0.0893860i | \(0.0284905\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 10.8222 | − | 6.12004i | 0.397565 | − | 0.224825i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.6368 | + | 49.8485i | 0.536973 | + | 1.82876i | 0.559233 | + | 0.829011i | \(0.311096\pi\) |
−0.0222593 | + | 0.999752i | \(0.507086\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −14.3469 | − | 22.3243i | −0.525632 | − | 0.817899i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −0.718866 | − | 4.12490i | −0.0263019 | − | 0.150922i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.11611 | − | 2.00260i | −0.113860 | − | 0.0731735i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.71140 | + | 39.7236i | −0.208412 | + | 1.44954i | 0.569929 | + | 0.821694i | \(0.306971\pi\) |
−0.778341 | + | 0.627842i | \(0.783938\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −16.8701 | + | 6.57963i | −0.614782 | + | 0.239775i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −10.1801 | + | 70.8040i | −0.370491 | + | 2.57682i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.39167 | − | 2.46229i | −0.195964 | − | 0.0894936i | 0.315016 | − | 0.949086i | \(-0.397990\pi\) |
−0.510980 | + | 0.859593i | \(0.670717\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.46004 | − | 2.77105i | 0.0529961 | − | 0.100583i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 14.3473 | − | 2.06283i | 0.520090 | − | 0.0747777i | 0.122729 | − | 0.992440i | \(-0.460835\pi\) |
0.397361 | + | 0.917663i | \(0.369926\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.44885 | − | 10.0770i | −0.0524520 | − | 0.364811i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −67.3616 | + | 21.9752i | −2.43546 | + | 0.794515i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 3.68318 | 0.132992 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.524680 | − | 0.239613i | 0.0189204 | − | 0.00864067i | −0.405932 | − | 0.913903i | \(-0.633053\pi\) |
0.424853 | + | 0.905262i | \(0.360326\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −24.9083 | − | 1.40953i | −0.897049 | − | 0.0507631i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 22.0997 | + | 34.3878i | 0.794872 | + | 1.23684i | 0.967753 | + | 0.251902i | \(0.0810561\pi\) |
−0.172881 | + | 0.984943i | \(0.555308\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 43.3453i | 1.55701i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 4.71916 | + | 3.42441i | 0.169299 | + | 0.122850i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 14.6033 | + | 9.38495i | 0.523216 | + | 0.336251i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.61739 | + | 1.19532i | 0.0936574 | + | 0.0427719i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 14.2336 | − | 11.6810i | 0.508669 | − | 0.417444i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −30.1588 | + | 34.8051i | −1.07641 | + | 1.24225i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −4.25085 | + | 0.611180i | −0.151526 | + | 0.0217862i | −0.217661 | − | 0.976025i | \(-0.569843\pi\) |
0.0661341 | + | 0.997811i | \(0.478933\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −39.0103 | − | 2.20756i | −1.38880 | − | 0.0785911i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 4.42654 | − | 6.88783i | 0.157390 | − | 0.244903i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −26.0522 | − | 7.64961i | −0.925140 | − | 0.271645i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 37.8029 | + | 7.63659i | 1.34073 | + | 0.270842i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 9.82992 | − | 8.51768i | 0.348194 | − | 0.301712i | −0.463151 | − | 0.886279i | \(-0.653281\pi\) |
0.811345 | + | 0.584568i | \(0.198736\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −57.0862 | − | 16.7620i | −2.01956 | − | 0.592997i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.339823 | + | 0.416590i | −0.0120070 | + | 0.0147195i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 4.12879 | 0.145702 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.94960 | 0.139205 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 40.1040 | − | 9.35079i | 1.41173 | − | 0.329163i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −8.03454 | − | 2.35915i | −0.282479 | − | 0.0829434i | 0.137424 | − | 0.990512i | \(-0.456118\pi\) |
−0.419903 | + | 0.907569i | \(0.637936\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 37.1314 | − | 32.1745i | 1.30386 | − | 1.12980i | 0.320675 | − | 0.947189i | \(-0.396090\pi\) |
0.983185 | − | 0.182612i | \(-0.0584552\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 10.5408 | − | 52.1796i | 0.369684 | − | 1.83002i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 45.5185 | + | 13.3654i | 1.59444 | + | 0.468171i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.57625 | + | 5.56475i | −0.125117 | + | 0.194686i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −4.17727 | − | 6.09358i | −0.145966 | − | 0.212927i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 10.7141 | − | 1.54046i | 0.373925 | − | 0.0537623i | 0.0472093 | − | 0.998885i | \(-0.484967\pi\) |
0.326715 | + | 0.945123i | \(0.394058\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 18.2802 | − | 21.0965i | 0.637207 | − | 0.735376i | −0.341671 | − | 0.939820i | \(-0.610993\pi\) |
0.978878 | + | 0.204443i | \(0.0655383\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −7.10673 | + | 9.79374i | −0.247424 | + | 0.340974i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 29.3769 | + | 13.4160i | 1.02154 | + | 0.466520i | 0.854511 | − | 0.519433i | \(-0.173857\pi\) |
0.167025 | + | 0.985953i | \(0.446584\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −0.390341 | − | 0.250857i | −0.0135571 | − | 0.00871263i | 0.533845 | − | 0.845583i | \(-0.320747\pi\) |
−0.547402 | + | 0.836870i | \(0.684383\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 5.98281 | − | 8.24487i | 0.207541 | − | 0.286011i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 44.0781i | 1.52721i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −43.7545 | − | 68.0833i | −1.51419 | − | 2.35612i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −8.70934 | + | 26.9672i | −0.301039 | + | 0.932124i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 1.12718 | − | 0.514765i | 0.0389145 | − | 0.0177717i | −0.395863 | − | 0.918310i | \(-0.629554\pi\) |
0.434777 | + | 0.900538i | \(0.356827\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 16.4429 | 0.566997 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 3.40962 | − | 9.57401i | 0.117434 | − | 0.329747i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −4.25223 | − | 29.5749i | −0.146281 | − | 1.01741i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.40122 | − | 0.776579i | 0.185588 | − | 0.0266836i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 41.1860 | + | 21.7005i | 1.41350 | + | 0.744759i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −11.8069 | − | 5.39202i | −0.404735 | − | 0.184836i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1.20455 | − | 8.37782i | 0.0412430 | − | 0.286851i | −0.958754 | − | 0.284238i | \(-0.908259\pi\) |
0.999997 | − | 0.00261263i | \(-0.000831626\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 8.65231 | − | 14.3867i | 0.295903 | − | 0.492014i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −0.752111 | + | 5.23105i | −0.0256916 | + | 0.178689i | −0.998627 | − | 0.0523893i | \(-0.983316\pi\) |
0.972935 | + | 0.231079i | \(0.0742254\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.0470 | − | 9.02749i | −0.479279 | − | 0.308014i | 0.278602 | − | 0.960407i | \(-0.410129\pi\) |
−0.757881 | + | 0.652393i | \(0.773765\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 4.80834 | − | 9.12588i | 0.163868 | − | 0.311009i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −27.6128 | − | 42.9663i | −0.939950 | − | 1.46259i | −0.885805 | − | 0.464058i | \(-0.846393\pi\) |
−0.0541456 | − | 0.998533i | \(-0.517244\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.84030 | + | 23.2959i | 0.232577 | + | 0.792085i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −22.2387 | − | 39.3253i | −0.755266 | − | 1.33556i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.41554 | − | 1.22658i | 0.0480190 | − | 0.0416087i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −13.7471 | − | 35.1904i | −0.465803 | − | 1.19238i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −4.08466 | − | 8.28304i | −0.138245 | − | 0.280338i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −5.60163 | − | 0.805393i | −0.189370 | − | 0.0272272i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 50.6601 | − | 14.8751i | 1.71067 | − | 0.502298i | 0.727673 | − | 0.685924i | \(-0.240602\pi\) |
0.982996 | + | 0.183626i | \(0.0587835\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 10.2709 | + | 3.65780i | 0.346428 | + | 0.123374i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −11.6521 | + | 5.32133i | −0.392569 | + | 0.179280i | −0.601913 | − | 0.798562i | \(-0.705594\pi\) |
0.209344 | + | 0.977842i | \(0.432867\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −30.1429 | + | 46.9032i | −1.01439 | + | 1.57842i | −0.215895 | + | 0.976417i | \(0.569267\pi\) |
−0.798494 | + | 0.602003i | \(0.794370\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 4.32911 | − | 2.44814i | 0.145522 | − | 0.0822933i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 3.69021 | − | 12.5677i | 0.123905 | − | 0.421982i | −0.874055 | − | 0.485828i | \(-0.838518\pi\) |
0.997960 | + | 0.0638455i | \(0.0203365\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −10.2641 | − | 1.47575i | −0.344246 | − | 0.0494951i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −6.38930 | + | 4.66522i | −0.214050 | + | 0.156291i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 12.8228 | − | 5.85597i | 0.429098 | − | 0.195962i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.34525 | + | 64.9976i | 0.312377 | + | 2.17263i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 11.8010 | + | 11.4551i | 0.394024 | + | 0.382476i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 16.2581 | − | 10.4485i | 0.542238 | − | 0.348475i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 40.6170i | 1.35315i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 3.47753 | + | 1.83228i | 0.115725 | + | 0.0609743i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −41.1630 | + | 47.5047i | −1.36831 | + | 1.57911i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −35.3424 | + | 22.7132i | −1.17353 | + | 0.754180i | −0.974185 | − | 0.225751i | \(-0.927517\pi\) |
−0.199341 | + | 0.979930i | \(0.563880\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −3.39308 | + | 12.9710i | −0.112541 | + | 0.430220i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 5.42432 | + | 18.4735i | 0.179716 | + | 0.612055i | 0.999239 | + | 0.0390092i | \(0.0124202\pi\) |
−0.819523 | + | 0.573046i | \(0.805762\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.663283 | − | 1.03209i | 0.0219515 | − | 0.0341571i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −35.7056 | + | 8.32524i | −1.18039 | + | 0.275224i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 6.62716 | − | 1.94591i | 0.218848 | − | 0.0642596i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 15.8733 | + | 13.7543i | 0.523611 | + | 0.453711i | 0.876117 | − | 0.482098i | \(-0.160125\pi\) |
−0.352507 | + | 0.935809i | \(0.614671\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 38.2943 | + | 37.1720i | 1.26184 | + | 1.22486i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −9.89412 | + | 11.4184i | −0.325669 | + | 0.375842i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 42.1848 | + | 27.1106i | 1.38703 | + | 0.891389i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −2.75662 | + | 4.58359i | −0.0905393 | + | 0.150545i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −37.4359 | − | 43.2033i | −1.22823 | − | 1.41746i | −0.876533 | − | 0.481342i | \(-0.840150\pi\) |
−0.351699 | − | 0.936113i | \(-0.614396\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.83910 | − | 7.89274i | −0.224142 | − | 0.258674i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −43.6906 | + | 17.0401i | −1.43037 | + | 0.557866i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −18.8851 | − | 8.62453i | −0.617608 | − | 0.282052i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 16.6516i | − | 0.543983i | −0.962300 | − | 0.271991i | \(-0.912318\pi\) | ||
0.962300 | − | 0.271991i | \(-0.0876822\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.0515954 | − | 0.0668283i | −0.00168375 | − | 0.00218086i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 11.6169 | − | 25.4375i | 0.378700 | − | 0.829238i | −0.620293 | − | 0.784370i | \(-0.712986\pi\) |
0.998993 | − | 0.0448672i | \(-0.0142865\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −6.46934 | + | 22.0325i | −0.210671 | + | 0.717478i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −8.96015 | − | 4.38570i | −0.291474 | − | 0.142667i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −21.0357 | + | 18.2275i | −0.683568 | + | 0.592315i | −0.925850 | − | 0.377891i | \(-0.876649\pi\) |
0.242282 | + | 0.970206i | \(0.422104\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.10782 | + | 20.8013i | −0.198268 | + | 0.675239i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 3.67044 | + | 42.4399i | 0.119022 | + | 1.37621i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −20.4381 | − | 17.7097i | −0.662055 | − | 0.573674i | 0.257672 | − | 0.966233i | \(-0.417045\pi\) |
−0.919727 | + | 0.392558i | \(0.871590\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.60304 | + | 38.9700i | 0.181310 | + | 1.26104i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 5.38656 | + | 0.304820i | 0.174123 | + | 0.00985344i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −2.58514 | − | 8.80419i | −0.0834787 | − | 0.284302i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.521816 | − | 1.14262i | 0.0168328 | − | 0.0368586i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −14.1010 | − | 15.3277i | −0.454400 | − | 0.493928i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −41.3896 | + | 12.1531i | −1.33238 | + | 0.391222i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 23.8847 | 0.768079 | 0.384040 | − | 0.923317i | \(-0.374533\pi\) | ||||
0.384040 | + | 0.923317i | \(0.374533\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 16.6560 | + | 5.93173i | 0.535066 | + | 0.190555i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −41.4972 | − | 35.9576i | −1.33171 | − | 1.15393i | −0.975616 | − | 0.219483i | \(-0.929563\pi\) |
−0.356093 | − | 0.934450i | \(-0.615891\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.98170 | + | 8.71870i | 0.127647 | + | 0.279509i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −38.8288 | − | 50.2926i | −1.24352 | − | 1.61065i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −11.9971 | − | 18.6678i | −0.383820 | − | 0.597235i | 0.594560 | − | 0.804051i | \(-0.297326\pi\) |
−0.978380 | + | 0.206816i | \(0.933690\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.155921 | + | 0.0224181i | −0.00498327 | + | 0.000716485i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 6.45795 | − | 56.8774i | 0.206187 | − | 1.81596i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 13.0673 | + | 28.6134i | 0.416782 | + | 0.912624i | 0.995289 | + | 0.0969476i | \(0.0309079\pi\) |
−0.578508 | + | 0.815677i | \(0.696365\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −11.5821 | + | 25.3612i | −0.369036 | + | 0.808075i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −4.12336 | − | 7.29146i | −0.131248 | − | 0.232090i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −8.39577 | − | 2.46522i | −0.266970 | − | 0.0783895i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 20.3238 | + | 2.92212i | 0.645606 | + | 0.0928241i | 0.457337 | − | 0.889293i | \(-0.348803\pi\) |
0.188269 | + | 0.982118i | \(0.439712\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 4.32324 | + | 49.9879i | 0.137194 | + | 1.58632i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.724151 | + | 1.58567i | 0.0229571 | + | 0.0502691i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 28.6238 | − | 18.3954i | 0.906526 | − | 0.582589i | −0.00219285 | − | 0.999998i | \(-0.500698\pi\) |
0.908719 | + | 0.417409i | \(0.137062\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 20.7980 | + | 25.3430i | 0.658019 | + | 0.801817i |
(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 | 804.2.s.b.161.10 | yes | 200 | |
3.2 | odd | 2 | inner | 804.2.s.b.161.5 | yes | 200 | |
67.5 | odd | 22 | inner | 804.2.s.b.5.5 | ✓ | 200 | |
201.5 | even | 22 | inner | 804.2.s.b.5.10 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.s.b.5.5 | ✓ | 200 | 67.5 | odd | 22 | inner | |
804.2.s.b.5.10 | yes | 200 | 201.5 | even | 22 | inner | |
804.2.s.b.161.5 | yes | 200 | 3.2 | odd | 2 | inner | |
804.2.s.b.161.10 | yes | 200 | 1.1 | even | 1 | trivial |