Newspace parameters
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 34.5 | ||
Character | \(\chi\) | \(=\) | 483.34 |
Dual form | 483.2.r.a.412.5 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.85697 | + | 1.19340i | −1.31308 | + | 0.843863i | −0.994571 | − | 0.104058i | \(-0.966817\pi\) |
−0.318506 | + | 0.947921i | \(0.603181\pi\) | |||||||
\(3\) | −0.989821 | − | 0.142315i | −0.571474 | − | 0.0821655i | ||||
\(4\) | 1.19330 | − | 2.61296i | 0.596650 | − | 1.30648i | ||||
\(5\) | 1.10668 | − | 0.324952i | 0.494925 | − | 0.145323i | −0.0247390 | − | 0.999694i | \(-0.507875\pi\) |
0.519664 | + | 0.854371i | \(0.326057\pi\) | |||||||
\(6\) | 2.00791 | − | 0.916981i | 0.819725 | − | 0.374356i | ||||
\(7\) | −2.23744 | − | 1.41204i | −0.845674 | − | 0.533700i | ||||
\(8\) | 0.274107 | + | 1.90645i | 0.0969113 | + | 0.674033i | ||||
\(9\) | 0.959493 | + | 0.281733i | 0.319831 | + | 0.0939109i | ||||
\(10\) | −1.66728 | + | 1.92415i | −0.527241 | + | 0.608469i | ||||
\(11\) | −0.0983116 | + | 0.152976i | −0.0296421 | + | 0.0461240i | −0.855758 | − | 0.517376i | \(-0.826909\pi\) |
0.826116 | + | 0.563500i | \(0.190545\pi\) | |||||||
\(12\) | −1.55302 | + | 2.41654i | −0.448318 | + | 0.697596i | ||||
\(13\) | −3.11702 | − | 2.70091i | −0.864505 | − | 0.749098i | 0.104921 | − | 0.994481i | \(-0.466541\pi\) |
−0.969426 | + | 0.245383i | \(0.921086\pi\) | |||||||
\(14\) | 5.84000 | − | 0.0480570i | 1.56080 | − | 0.0128438i | ||||
\(15\) | −1.14167 | + | 0.164147i | −0.294777 | + | 0.0423825i | ||||
\(16\) | 0.978068 | + | 1.12875i | 0.244517 | + | 0.282188i | ||||
\(17\) | 2.24519 | + | 4.91628i | 0.544539 | + | 1.19237i | 0.959286 | + | 0.282437i | \(0.0911427\pi\) |
−0.414747 | + | 0.909937i | \(0.636130\pi\) | |||||||
\(18\) | −2.11797 | + | 0.621892i | −0.499211 | + | 0.146581i | ||||
\(19\) | 0.214571 | − | 0.469846i | 0.0492261 | − | 0.107790i | −0.883421 | − | 0.468580i | \(-0.844766\pi\) |
0.932647 | + | 0.360790i | \(0.117493\pi\) | |||||||
\(20\) | 0.471520 | − | 3.27949i | 0.105435 | − | 0.733317i | ||||
\(21\) | 2.01371 | + | 1.71609i | 0.439429 | + | 0.374481i | ||||
\(22\) | − | 0.401397i | − | 0.0855782i | ||||||
\(23\) | 0.108391 | + | 4.79461i | 0.0226012 | + | 0.999745i | ||||
\(24\) | − | 1.92606i | − | 0.393155i | ||||||
\(25\) | −3.08711 | + | 1.98397i | −0.617422 | + | 0.396793i | ||||
\(26\) | 9.01148 | + | 1.29566i | 1.76730 | + | 0.254099i | ||||
\(27\) | −0.909632 | − | 0.415415i | −0.175059 | − | 0.0799467i | ||||
\(28\) | −6.35955 | + | 4.16137i | −1.20184 | + | 0.786425i | ||||
\(29\) | 3.47274 | + | 7.60424i | 0.644872 | + | 1.41207i | 0.895972 | + | 0.444111i | \(0.146480\pi\) |
−0.251100 | + | 0.967961i | \(0.580792\pi\) | |||||||
\(30\) | 1.92415 | − | 1.66728i | 0.351300 | − | 0.304403i | ||||
\(31\) | −3.48170 | + | 0.500593i | −0.625333 | + | 0.0899092i | −0.447694 | − | 0.894187i | \(-0.647755\pi\) |
−0.177638 | + | 0.984096i | \(0.556846\pi\) | |||||||
\(32\) | −6.85938 | − | 2.01409i | −1.21258 | − | 0.356045i | ||||
\(33\) | 0.119082 | − | 0.137428i | 0.0207295 | − | 0.0239231i | ||||
\(34\) | −10.0364 | − | 6.44997i | −1.72122 | − | 1.10616i | ||||
\(35\) | −2.93499 | − | 0.835619i | −0.496104 | − | 0.141245i | ||||
\(36\) | 1.88112 | − | 2.17093i | 0.313520 | − | 0.361822i | ||||
\(37\) | −0.139133 | + | 0.473843i | −0.0228733 | + | 0.0778992i | −0.970139 | − | 0.242551i | \(-0.922016\pi\) |
0.947265 | + | 0.320450i | \(0.103834\pi\) | |||||||
\(38\) | 0.162263 | + | 1.12856i | 0.0263225 | + | 0.183077i | ||||
\(39\) | 2.70091 | + | 3.11702i | 0.432492 | + | 0.499122i | ||||
\(40\) | 0.922855 | + | 2.02077i | 0.145916 | + | 0.319512i | ||||
\(41\) | −2.65953 | − | 9.05751i | −0.415348 | − | 1.41455i | −0.856050 | − | 0.516892i | \(-0.827089\pi\) |
0.440702 | − | 0.897653i | \(-0.354729\pi\) | |||||||
\(42\) | −5.78739 | − | 0.783550i | −0.893014 | − | 0.120904i | ||||
\(43\) | −9.24311 | − | 1.32896i | −1.40956 | − | 0.202664i | −0.604854 | − | 0.796337i | \(-0.706768\pi\) |
−0.804707 | + | 0.593672i | \(0.797678\pi\) | |||||||
\(44\) | 0.282405 | + | 0.439431i | 0.0425742 | + | 0.0662467i | ||||
\(45\) | 1.15341 | 0.171940 | ||||||||
\(46\) | −5.92318 | − | 8.77409i | −0.873325 | − | 1.29367i | ||||
\(47\) | 3.91037i | 0.570387i | 0.958470 | + | 0.285193i | \(0.0920578\pi\) | ||||
−0.958470 | + | 0.285193i | \(0.907942\pi\) | |||||||
\(48\) | −0.807475 | − | 1.25646i | −0.116549 | − | 0.181354i | ||||
\(49\) | 3.01230 | + | 6.31871i | 0.430328 | + | 0.902672i | ||||
\(50\) | 3.36500 | − | 7.36833i | 0.475883 | − | 1.04204i | ||||
\(51\) | −1.52268 | − | 5.18576i | −0.213218 | − | 0.726152i | ||||
\(52\) | −10.7769 | + | 4.92166i | −1.49449 | + | 0.682511i | ||||
\(53\) | −5.66877 | + | 4.91202i | −0.778665 | + | 0.674717i | −0.950609 | − | 0.310389i | \(-0.899541\pi\) |
0.171944 | + | 0.985107i | \(0.444995\pi\) | |||||||
\(54\) | 2.18492 | − | 0.314144i | 0.297330 | − | 0.0427495i | ||||
\(55\) | −0.0590902 | + | 0.201243i | −0.00796772 | + | 0.0271356i | ||||
\(56\) | 2.07869 | − | 4.65263i | 0.277776 | − | 0.621734i | ||||
\(57\) | −0.279254 | + | 0.434527i | −0.0369880 | + | 0.0575545i | ||||
\(58\) | −15.5237 | − | 9.97647i | −2.03836 | − | 1.30998i | ||||
\(59\) | −3.29542 | − | 2.85550i | −0.429028 | − | 0.371755i | 0.413413 | − | 0.910544i | \(-0.364337\pi\) |
−0.842441 | + | 0.538789i | \(0.818882\pi\) | |||||||
\(60\) | −0.933441 | + | 3.17901i | −0.120507 | + | 0.410408i | ||||
\(61\) | 0.757513 | + | 5.26862i | 0.0969896 | + | 0.674578i | 0.979077 | + | 0.203491i | \(0.0652289\pi\) |
−0.882087 | + | 0.471086i | \(0.843862\pi\) | |||||||
\(62\) | 5.86801 | − | 5.08466i | 0.745239 | − | 0.645753i | ||||
\(63\) | −1.74899 | − | 1.98520i | −0.220352 | − | 0.250112i | ||||
\(64\) | 12.2752 | − | 3.60432i | 1.53440 | − | 0.450540i | ||||
\(65\) | −4.32722 | − | 1.97618i | −0.536726 | − | 0.245114i | ||||
\(66\) | −0.0571248 | + | 0.397312i | −0.00703157 | + | 0.0489057i | ||||
\(67\) | −1.30491 | − | 2.03047i | −0.159420 | − | 0.248062i | 0.752350 | − | 0.658763i | \(-0.228920\pi\) |
−0.911770 | + | 0.410702i | \(0.865284\pi\) | |||||||
\(68\) | 15.5253 | 1.88271 | ||||||||
\(69\) | 0.575056 | − | 4.76123i | 0.0692286 | − | 0.573185i | ||||
\(70\) | 6.44742 | − | 1.95090i | 0.770614 | − | 0.233177i | ||||
\(71\) | −7.91478 | + | 5.08652i | −0.939311 | + | 0.603659i | −0.918199 | − | 0.396118i | \(-0.870357\pi\) |
−0.0211119 | + | 0.999777i | \(0.506721\pi\) | |||||||
\(72\) | −0.274107 | + | 1.90645i | −0.0323038 | + | 0.224678i | ||||
\(73\) | 5.88839 | + | 2.68914i | 0.689184 | + | 0.314740i | 0.729045 | − | 0.684466i | \(-0.239964\pi\) |
−0.0398614 | + | 0.999205i | \(0.512692\pi\) | |||||||
\(74\) | −0.307120 | − | 1.04595i | −0.0357019 | − | 0.121590i | ||||
\(75\) | 3.33804 | − | 1.52443i | 0.385443 | − | 0.176026i | ||||
\(76\) | −0.971643 | − | 1.12134i | −0.111455 | − | 0.128626i | ||||
\(77\) | 0.435974 | − | 0.203455i | 0.0496839 | − | 0.0231859i | ||||
\(78\) | −8.73537 | − | 2.56494i | −0.989086 | − | 0.290422i | ||||
\(79\) | 2.99150 | + | 2.59215i | 0.336570 | + | 0.291640i | 0.806704 | − | 0.590955i | \(-0.201249\pi\) |
−0.470134 | + | 0.882595i | \(0.655795\pi\) | |||||||
\(80\) | 1.44920 | + | 0.931346i | 0.162026 | + | 0.104128i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | 15.7479 | + | 13.6456i | 1.73907 | + | 1.50691i | ||||
\(83\) | −8.62357 | − | 2.53211i | −0.946560 | − | 0.277935i | −0.228206 | − | 0.973613i | \(-0.573286\pi\) |
−0.718354 | + | 0.695678i | \(0.755104\pi\) | |||||||
\(84\) | 6.88704 | − | 3.21396i | 0.751438 | − | 0.350672i | ||||
\(85\) | 4.08227 | + | 4.71119i | 0.442785 | + | 0.511001i | ||||
\(86\) | 18.7502 | − | 8.56291i | 2.02188 | − | 0.923363i | ||||
\(87\) | −2.35520 | − | 8.02106i | −0.252504 | − | 0.859948i | ||||
\(88\) | −0.318589 | − | 0.145495i | −0.0339617 | − | 0.0155098i | ||||
\(89\) | −2.58811 | + | 18.0007i | −0.274339 | + | 1.90807i | 0.126575 | + | 0.991957i | \(0.459602\pi\) |
−0.400914 | + | 0.916116i | \(0.631307\pi\) | |||||||
\(90\) | −2.14184 | + | 1.37648i | −0.225770 | + | 0.145094i | ||||
\(91\) | 3.16036 | + | 10.4445i | 0.331296 | + | 1.09488i | ||||
\(92\) | 12.6575 | + | 5.43819i | 1.31963 | + | 0.566970i | ||||
\(93\) | 3.51751 | 0.364749 | ||||||||
\(94\) | −4.66665 | − | 7.26145i | −0.481328 | − | 0.748961i | ||||
\(95\) | 0.0847856 | − | 0.589697i | 0.00869882 | − | 0.0605016i | ||||
\(96\) | 6.50292 | + | 2.96978i | 0.663702 | + | 0.303102i | ||||
\(97\) | −6.91043 | + | 2.02908i | −0.701648 | + | 0.206022i | −0.613049 | − | 0.790045i | \(-0.710057\pi\) |
−0.0885988 | + | 0.996067i | \(0.528239\pi\) | |||||||
\(98\) | −13.1345 | − | 8.13877i | −1.32679 | − | 0.822140i | ||||
\(99\) | −0.137428 | + | 0.119082i | −0.0138120 | + | 0.0119682i | ||||
\(100\) | 1.50018 | + | 10.4340i | 0.150018 | + | 1.04340i | ||||
\(101\) | 1.51269 | − | 5.15175i | 0.150518 | − | 0.512618i | −0.849366 | − | 0.527804i | \(-0.823016\pi\) |
0.999885 | + | 0.0151854i | \(0.00483386\pi\) | |||||||
\(102\) | 9.01627 | + | 7.81265i | 0.892744 | + | 0.773567i | ||||
\(103\) | −4.97030 | − | 3.19422i | −0.489738 | − | 0.314735i | 0.272362 | − | 0.962195i | \(-0.412195\pi\) |
−0.762100 | + | 0.647459i | \(0.775832\pi\) | |||||||
\(104\) | 4.29476 | − | 6.68278i | 0.421136 | − | 0.655301i | ||||
\(105\) | 2.78619 | + | 1.24481i | 0.271905 | + | 0.121481i | ||||
\(106\) | 4.66472 | − | 15.8866i | 0.453078 | − | 1.54304i | ||||
\(107\) | 12.2353 | − | 1.75917i | 1.18283 | − | 0.170066i | 0.477299 | − | 0.878741i | \(-0.341616\pi\) |
0.705535 | + | 0.708675i | \(0.250707\pi\) | |||||||
\(108\) | −2.17093 | + | 1.88112i | −0.208898 | + | 0.181011i | ||||
\(109\) | 18.3624 | − | 8.38584i | 1.75880 | − | 0.803217i | 0.773193 | − | 0.634171i | \(-0.218659\pi\) |
0.985608 | − | 0.169046i | \(-0.0540687\pi\) | |||||||
\(110\) | −0.130435 | − | 0.444220i | −0.0124365 | − | 0.0423547i | ||||
\(111\) | 0.205151 | − | 0.449219i | 0.0194721 | − | 0.0426380i | ||||
\(112\) | −0.594532 | − | 3.90658i | −0.0561780 | − | 0.369137i | ||||
\(113\) | 6.35765 | + | 9.89269i | 0.598077 | + | 0.930626i | 0.999889 | + | 0.0149039i | \(0.00474424\pi\) |
−0.401812 | + | 0.915722i | \(0.631619\pi\) | |||||||
\(114\) | − | 1.14017i | − | 0.106786i | ||||||
\(115\) | 1.67797 | + | 5.27090i | 0.156472 | + | 0.491514i | ||||
\(116\) | 24.0136 | 2.22961 | ||||||||
\(117\) | −2.22982 | − | 3.46967i | −0.206147 | − | 0.320771i | ||||
\(118\) | 9.52727 | + | 1.36981i | 0.877056 | + | 0.126102i | ||||
\(119\) | 1.91849 | − | 14.1702i | 0.175868 | − | 1.29898i | ||||
\(120\) | −0.625876 | − | 2.13154i | −0.0571344 | − | 0.194582i | ||||
\(121\) | 4.55583 | + | 9.97587i | 0.414166 | + | 0.906898i | ||||
\(122\) | −7.69427 | − | 8.87966i | −0.696606 | − | 0.803926i | ||||
\(123\) | 1.34344 | + | 9.34381i | 0.121134 | + | 0.842503i | ||||
\(124\) | −2.84669 | + | 9.69493i | −0.255640 | + | 0.870630i | ||||
\(125\) | −6.54837 | + | 7.55722i | −0.585704 | + | 0.675938i | ||||
\(126\) | 5.61697 | + | 1.59921i | 0.500400 | + | 0.142469i | ||||
\(127\) | −6.94984 | − | 4.46639i | −0.616699 | − | 0.396328i | 0.194665 | − | 0.980870i | \(-0.437638\pi\) |
−0.811364 | + | 0.584541i | \(0.801274\pi\) | |||||||
\(128\) | −9.13011 | + | 10.5367i | −0.806995 | + | 0.931322i | ||||
\(129\) | 8.95989 | + | 2.63086i | 0.788875 | + | 0.231635i | ||||
\(130\) | 10.3939 | − | 1.49442i | 0.911605 | − | 0.131069i | ||||
\(131\) | −6.70266 | + | 5.80789i | −0.585614 | + | 0.507438i | −0.896520 | − | 0.443003i | \(-0.853913\pi\) |
0.310906 | + | 0.950441i | \(0.399368\pi\) | |||||||
\(132\) | −0.216993 | − | 0.475149i | −0.0188868 | − | 0.0413564i | ||||
\(133\) | −1.14353 | + | 0.748270i | −0.0991568 | + | 0.0648833i | ||||
\(134\) | 4.84634 | + | 2.21325i | 0.418660 | + | 0.191196i | ||||
\(135\) | −1.14167 | − | 0.164147i | −0.0982590 | − | 0.0141275i | ||||
\(136\) | −8.75724 | + | 5.62793i | −0.750927 | + | 0.482591i | ||||
\(137\) | − | 3.32339i | − | 0.283936i | −0.989871 | − | 0.141968i | \(-0.954657\pi\) | ||
0.989871 | − | 0.141968i | \(-0.0453431\pi\) | |||||||
\(138\) | 4.61420 | + | 9.52774i | 0.392787 | + | 0.811055i | ||||
\(139\) | 10.6931i | 0.906976i | 0.891262 | + | 0.453488i | \(0.149820\pi\) | ||||
−0.891262 | + | 0.453488i | \(0.850180\pi\) | |||||||
\(140\) | −5.68577 | + | 6.67188i | −0.480535 | + | 0.563876i | ||||
\(141\) | 0.556504 | − | 3.87057i | 0.0468661 | − | 0.325961i | ||||
\(142\) | 8.62725 | − | 18.8910i | 0.723983 | − | 1.58530i | ||||
\(143\) | 0.719613 | − | 0.211297i | 0.0601771 | − | 0.0176696i | ||||
\(144\) | 0.620444 | + | 1.35858i | 0.0517036 | + | 0.113215i | ||||
\(145\) | 6.31424 | + | 7.28702i | 0.524369 | + | 0.605154i | ||||
\(146\) | −14.1438 | + | 2.03357i | −1.17055 | + | 0.168299i | ||||
\(147\) | −2.08239 | − | 6.68309i | −0.171753 | − | 0.551212i | ||||
\(148\) | 1.07211 | + | 0.928986i | 0.0881266 | + | 0.0763622i | ||||
\(149\) | −2.10182 | + | 3.27050i | −0.172188 | + | 0.267929i | −0.916612 | − | 0.399777i | \(-0.869088\pi\) |
0.744425 | + | 0.667707i | \(0.232724\pi\) | |||||||
\(150\) | −4.37938 | + | 6.81444i | −0.357575 | + | 0.556397i | ||||
\(151\) | 13.1219 | − | 15.1434i | 1.06784 | − | 1.23235i | 0.0963332 | − | 0.995349i | \(-0.469289\pi\) |
0.971508 | − | 0.237006i | \(-0.0761660\pi\) | |||||||
\(152\) | 0.954555 | + | 0.280283i | 0.0774246 | + | 0.0227339i | ||||
\(153\) | 0.769168 | + | 5.34968i | 0.0621835 | + | 0.432496i | ||||
\(154\) | −0.566788 | + | 0.898103i | −0.0456731 | + | 0.0723712i | ||||
\(155\) | −3.69048 | + | 1.68539i | −0.296427 | + | 0.135373i | ||||
\(156\) | 11.3677 | − | 3.33784i | 0.910141 | − | 0.267241i | ||||
\(157\) | 1.32273 | − | 2.89637i | 0.105565 | − | 0.231156i | −0.849477 | − | 0.527626i | \(-0.823082\pi\) |
0.955042 | + | 0.296470i | \(0.0958096\pi\) | |||||||
\(158\) | −8.64861 | − | 1.24348i | −0.688046 | − | 0.0989261i | ||||
\(159\) | 6.31012 | − | 4.05527i | 0.500425 | − | 0.321604i | ||||
\(160\) | −8.24565 | −0.651876 | ||||||||
\(161\) | 6.52765 | − | 10.8807i | 0.514451 | − | 0.857520i | ||||
\(162\) | −2.20739 | −0.173429 | ||||||||
\(163\) | −14.0629 | + | 9.03769i | −1.10149 | + | 0.707886i | −0.959423 | − | 0.281970i | \(-0.909012\pi\) |
−0.142069 | + | 0.989857i | \(0.545376\pi\) | |||||||
\(164\) | −26.8406 | − | 3.85909i | −2.09590 | − | 0.301344i | ||||
\(165\) | 0.0871286 | − | 0.190785i | 0.00678295 | − | 0.0148526i | ||||
\(166\) | 19.0355 | − | 5.58934i | 1.47744 | − | 0.433817i | ||||
\(167\) | −13.0994 | + | 5.98228i | −1.01366 | + | 0.462923i | −0.851787 | − | 0.523889i | \(-0.824481\pi\) |
−0.161873 | + | 0.986812i | \(0.551753\pi\) | |||||||
\(168\) | −2.71967 | + | 4.30944i | −0.209827 | + | 0.332481i | ||||
\(169\) | 0.570783 | + | 3.96988i | 0.0439064 | + | 0.305376i | ||||
\(170\) | −13.2030 | − | 3.87676i | −1.01263 | − | 0.297334i | ||||
\(171\) | 0.338251 | − | 0.390362i | 0.0258667 | − | 0.0298517i | ||||
\(172\) | −14.5023 | + | 22.5661i | −1.10579 | + | 1.72065i | ||||
\(173\) | 3.10099 | − | 4.82523i | 0.235764 | − | 0.366856i | −0.703131 | − | 0.711061i | \(-0.748215\pi\) |
0.938895 | + | 0.344205i | \(0.111852\pi\) | |||||||
\(174\) | 13.9459 | + | 12.0842i | 1.05724 | + | 0.916099i | ||||
\(175\) | 9.70867 | − | 0.0798920i | 0.733906 | − | 0.00603927i | ||||
\(176\) | −0.268827 | + | 0.0386515i | −0.0202636 | + | 0.00291347i | ||||
\(177\) | 2.85550 | + | 3.29542i | 0.214633 | + | 0.247699i | ||||
\(178\) | −16.6761 | − | 36.5155i | −1.24992 | − | 2.73695i | ||||
\(179\) | −9.02379 | + | 2.64962i | −0.674469 | + | 0.198042i | −0.600992 | − | 0.799255i | \(-0.705228\pi\) |
−0.0734772 | + | 0.997297i | \(0.523410\pi\) | |||||||
\(180\) | 1.37636 | − | 3.01381i | 0.102588 | − | 0.224636i | ||||
\(181\) | 0.948189 | − | 6.59480i | 0.0704783 | − | 0.490187i | −0.923758 | − | 0.382977i | \(-0.874899\pi\) |
0.994236 | − | 0.107211i | \(-0.0341919\pi\) | |||||||
\(182\) | −18.3332 | − | 15.6235i | −1.35894 | − | 1.15809i | ||||
\(183\) | − | 5.32280i | − | 0.393473i | ||||||
\(184\) | −9.11098 | + | 1.52088i | −0.671670 | + | 0.112120i | ||||
\(185\) | 0.569606i | 0.0418783i | ||||||||
\(186\) | −6.53191 | + | 4.19780i | −0.478943 | + | 0.307798i | ||||
\(187\) | −0.972801 | − | 0.139868i | −0.0711382 | − | 0.0102281i | ||||
\(188\) | 10.2177 | + | 4.66625i | 0.745200 | + | 0.340321i | ||||
\(189\) | 1.44867 | + | 2.21390i | 0.105375 | + | 0.161038i | ||||
\(190\) | 0.546302 | + | 1.19623i | 0.0396329 | + | 0.0867839i | ||||
\(191\) | 6.67328 | − | 5.78243i | 0.482861 | − | 0.418402i | −0.379116 | − | 0.925349i | \(-0.623772\pi\) |
0.861977 | + | 0.506948i | \(0.169226\pi\) | |||||||
\(192\) | −12.6632 | + | 1.82069i | −0.913887 | + | 0.131397i | ||||
\(193\) | −11.9587 | − | 3.51141i | −0.860810 | − | 0.252756i | −0.178608 | − | 0.983920i | \(-0.557159\pi\) |
−0.682202 | + | 0.731164i | \(0.738977\pi\) | |||||||
\(194\) | 10.4109 | − | 12.0149i | 0.747462 | − | 0.862618i | ||||
\(195\) | 4.00194 | + | 2.57189i | 0.286585 | + | 0.184177i | ||||
\(196\) | 20.1051 | − | 0.330910i | 1.43608 | − | 0.0236365i | ||||
\(197\) | 13.4387 | − | 15.5091i | 0.957471 | − | 1.10498i | −0.0369310 | − | 0.999318i | \(-0.511758\pi\) |
0.994402 | − | 0.105663i | \(-0.0336964\pi\) | |||||||
\(198\) | 0.113087 | − | 0.385138i | 0.00803672 | − | 0.0273706i | ||||
\(199\) | −0.0332438 | − | 0.231215i | −0.00235659 | − | 0.0163904i | 0.988609 | − | 0.150505i | \(-0.0480900\pi\) |
−0.990966 | + | 0.134115i | \(0.957181\pi\) | |||||||
\(200\) | −4.62853 | − | 5.34161i | −0.327287 | − | 0.377709i | ||||
\(201\) | 1.00266 | + | 2.19551i | 0.0707220 | + | 0.154859i | ||||
\(202\) | 3.33909 | + | 11.3719i | 0.234938 | + | 0.800124i | ||||
\(203\) | 2.96742 | − | 21.9177i | 0.208272 | − | 1.53832i | ||||
\(204\) | −15.3672 | − | 2.20947i | −1.07592 | − | 0.154694i | ||||
\(205\) | −5.88651 | − | 9.15959i | −0.411132 | − | 0.639734i | ||||
\(206\) | 13.0417 | 0.908657 | ||||||||
\(207\) | −1.24680 | + | 4.63093i | −0.0866583 | + | 0.321872i | ||||
\(208\) | − | 6.16001i | − | 0.427120i | ||||||
\(209\) | 0.0507802 | + | 0.0790156i | 0.00351254 | + | 0.00546562i | ||||
\(210\) | −6.65944 | + | 1.01348i | −0.459545 | + | 0.0699369i | ||||
\(211\) | 4.33229 | − | 9.48639i | 0.298247 | − | 0.653070i | −0.699879 | − | 0.714262i | \(-0.746763\pi\) |
0.998126 | + | 0.0611914i | \(0.0194900\pi\) | |||||||
\(212\) | 6.07038 | + | 20.6738i | 0.416915 | + | 1.41988i | ||||
\(213\) | 8.55810 | − | 3.90836i | 0.586392 | − | 0.267796i | ||||
\(214\) | −20.6212 | + | 17.8684i | −1.40964 | + | 1.22146i | ||||
\(215\) | −10.6611 | + | 1.53283i | −0.727078 | + | 0.104538i | ||||
\(216\) | 0.542633 | − | 1.84804i | 0.0369215 | − | 0.125743i | ||||
\(217\) | 8.49697 | + | 3.79625i | 0.576812 | + | 0.257706i | ||||
\(218\) | −24.0908 | + | 37.4860i | −1.63163 | + | 2.53887i | ||||
\(219\) | −5.44575 | − | 3.49977i | −0.367990 | − | 0.236493i | ||||
\(220\) | 0.455328 | + | 0.394544i | 0.0306982 | + | 0.0266001i | ||||
\(221\) | 6.28014 | − | 21.3882i | 0.422448 | − | 1.43873i | ||||
\(222\) | 0.155139 | + | 1.07901i | 0.0104122 | + | 0.0724187i | ||||
\(223\) | 13.8261 | − | 11.9804i | 0.925863 | − | 0.802265i | −0.0546933 | − | 0.998503i | \(-0.517418\pi\) |
0.980556 | + | 0.196238i | \(0.0628727\pi\) | |||||||
\(224\) | 12.5035 | + | 14.1921i | 0.835424 | + | 0.948251i | ||||
\(225\) | −3.52101 | + | 1.03386i | −0.234734 | + | 0.0689241i | ||||
\(226\) | −23.6119 | − | 10.7832i | −1.57064 | − | 0.717288i | ||||
\(227\) | −0.574083 | + | 3.99283i | −0.0381032 | + | 0.265014i | −0.999964 | − | 0.00852707i | \(-0.997286\pi\) |
0.961860 | + | 0.273541i | \(0.0881948\pi\) | |||||||
\(228\) | 0.802170 | + | 1.24820i | 0.0531250 | + | 0.0826641i | ||||
\(229\) | −22.0179 | −1.45498 | −0.727491 | − | 0.686117i | \(-0.759314\pi\) | ||||
−0.727491 | + | 0.686117i | \(0.759314\pi\) | |||||||
\(230\) | −9.40625 | − | 7.78541i | −0.620230 | − | 0.513354i | ||||
\(231\) | −0.460491 | + | 0.139339i | −0.0302981 | + | 0.00916780i | ||||
\(232\) | −13.5452 | + | 8.70499i | −0.889288 | + | 0.571510i | ||||
\(233\) | −0.571226 | + | 3.97296i | −0.0374223 | + | 0.260277i | −0.999940 | − | 0.0109407i | \(-0.996517\pi\) |
0.962518 | + | 0.271218i | \(0.0874265\pi\) | |||||||
\(234\) | 8.28143 | + | 3.78200i | 0.541374 | + | 0.247237i | ||||
\(235\) | 1.27068 | + | 4.32755i | 0.0828903 | + | 0.282298i | ||||
\(236\) | −11.3938 | + | 5.20336i | −0.741670 | + | 0.338710i | ||||
\(237\) | −2.59215 | − | 2.99150i | −0.168378 | − | 0.194319i | ||||
\(238\) | 13.3482 | + | 28.6032i | 0.865233 | + | 1.85407i | ||||
\(239\) | −12.2132 | − | 3.58612i | −0.790007 | − | 0.231967i | −0.138253 | − | 0.990397i | \(-0.544149\pi\) |
−0.651755 | + | 0.758430i | \(0.725967\pi\) | |||||||
\(240\) | −1.30191 | − | 1.12811i | −0.0840378 | − | 0.0728192i | ||||
\(241\) | −17.0271 | − | 10.9426i | −1.09681 | − | 0.704878i | −0.138431 | − | 0.990372i | \(-0.544206\pi\) |
−0.958380 | + | 0.285495i | \(0.907842\pi\) | |||||||
\(242\) | −20.3653 | − | 13.0880i | −1.30913 | − | 0.841326i | ||||
\(243\) | −0.755750 | − | 0.654861i | −0.0484814 | − | 0.0420093i | ||||
\(244\) | 14.6707 | + | 4.30769i | 0.939193 | + | 0.275772i | ||||
\(245\) | 5.38694 | + | 6.01397i | 0.344159 | + | 0.384218i | ||||
\(246\) | −13.6456 | − | 15.7479i | −0.870015 | − | 1.00405i | ||||
\(247\) | −1.93783 | + | 0.884980i | −0.123301 | + | 0.0563099i | ||||
\(248\) | −1.90872 | − | 6.50049i | −0.121204 | − | 0.412781i | ||||
\(249\) | 8.17544 | + | 3.73360i | 0.518097 | + | 0.236607i | ||||
\(250\) | 3.14132 | − | 21.8484i | 0.198675 | − | 1.38181i | ||||
\(251\) | −2.78381 | + | 1.78905i | −0.175712 | + | 0.112924i | −0.625541 | − | 0.780192i | \(-0.715122\pi\) |
0.449828 | + | 0.893115i | \(0.351485\pi\) | |||||||
\(252\) | −7.27433 | + | 2.20112i | −0.458240 | + | 0.138657i | ||||
\(253\) | −0.744115 | − | 0.454784i | −0.0467821 | − | 0.0285920i | ||||
\(254\) | 18.2359 | 1.14422 | ||||||||
\(255\) | −3.37025 | − | 5.24421i | −0.211053 | − | 0.328405i | ||||
\(256\) | 0.738429 | − | 5.13589i | 0.0461518 | − | 0.320993i | ||||
\(257\) | 4.26711 | + | 1.94872i | 0.266175 | + | 0.121558i | 0.544032 | − | 0.839064i | \(-0.316897\pi\) |
−0.277857 | + | 0.960622i | \(0.589624\pi\) | |||||||
\(258\) | −19.7779 | + | 5.80733i | −1.23132 | + | 0.361548i | ||||
\(259\) | 0.980385 | − | 0.863735i | 0.0609182 | − | 0.0536699i | ||||
\(260\) | −10.3274 | + | 8.94870i | −0.640475 | + | 0.554975i | ||||
\(261\) | 1.18971 | + | 8.27460i | 0.0736411 | + | 0.512185i | ||||
\(262\) | 5.51550 | − | 18.7841i | 0.340749 | − | 1.16048i | ||||
\(263\) | −9.47672 | − | 8.21162i | −0.584359 | − | 0.506350i | 0.311761 | − | 0.950160i | \(-0.399081\pi\) |
−0.896121 | + | 0.443810i | \(0.853626\pi\) | |||||||
\(264\) | 0.294640 | + | 0.189354i | 0.0181339 | + | 0.0116539i | ||||
\(265\) | −4.67737 | + | 7.27813i | −0.287329 | + | 0.447092i | ||||
\(266\) | 1.23052 | − | 2.75421i | 0.0754479 | − | 0.168871i | ||||
\(267\) | 5.12354 | − | 17.4492i | 0.313556 | − | 1.06787i | ||||
\(268\) | −6.86270 | + | 0.986707i | −0.419206 | + | 0.0602727i | ||||
\(269\) | −14.2497 | + | 12.3474i | −0.868819 | + | 0.752836i | −0.970275 | − | 0.242004i | \(-0.922195\pi\) |
0.101456 | + | 0.994840i | \(0.467650\pi\) | |||||||
\(270\) | 2.31593 | − | 1.05765i | 0.140943 | − | 0.0643666i | ||||
\(271\) | 8.86135 | + | 30.1790i | 0.538289 | + | 1.83324i | 0.552749 | + | 0.833348i | \(0.313579\pi\) |
−0.0144607 | + | 0.999895i | \(0.504603\pi\) | |||||||
\(272\) | −3.35331 | + | 7.34272i | −0.203324 | + | 0.445218i | ||||
\(273\) | −1.64179 | − | 10.7879i | −0.0993654 | − | 0.652915i | ||||
\(274\) | 3.96614 | + | 6.17144i | 0.239603 | + | 0.372830i | ||||
\(275\) | − | 0.667300i | − | 0.0402397i | ||||||
\(276\) | −11.7547 | − | 7.18418i | −0.707550 | − | 0.432437i | ||||
\(277\) | 3.73824 | 0.224609 | 0.112305 | − | 0.993674i | \(-0.464177\pi\) | ||||
0.112305 | + | 0.993674i | \(0.464177\pi\) | |||||||
\(278\) | −12.7612 | − | 19.8567i | −0.765363 | − | 1.19093i | ||||
\(279\) | −3.48170 | − | 0.500593i | −0.208444 | − | 0.0299697i | ||||
\(280\) | 0.788570 | − | 5.82447i | 0.0471260 | − | 0.348078i | ||||
\(281\) | 0.146799 | + | 0.499952i | 0.00875730 | + | 0.0298246i | 0.963756 | − | 0.266786i | \(-0.0859618\pi\) |
−0.954998 | + | 0.296611i | \(0.904144\pi\) | |||||||
\(282\) | 3.58574 | + | 7.85167i | 0.213528 | + | 0.467560i | ||||
\(283\) | 13.5035 | + | 15.5838i | 0.802698 | + | 0.926363i | 0.998526 | − | 0.0542754i | \(-0.0172849\pi\) |
−0.195828 | + | 0.980638i | \(0.562739\pi\) | |||||||
\(284\) | 3.84618 | + | 26.7508i | 0.228229 | + | 1.58737i | ||||
\(285\) | −0.167845 | + | 0.571628i | −0.00994229 | + | 0.0338603i | ||||
\(286\) | −1.08414 | + | 1.25116i | −0.0641064 | + | 0.0739827i | ||||
\(287\) | −6.83901 | + | 24.0210i | −0.403694 | + | 1.41792i | ||||
\(288\) | −6.01409 | − | 3.86502i | −0.354383 | − | 0.227748i | ||||
\(289\) | −7.99631 | + | 9.22823i | −0.470371 | + | 0.542837i | ||||
\(290\) | −20.4217 | − | 5.99636i | −1.19920 | − | 0.352118i | ||||
\(291\) | 7.12886 | − | 1.02498i | 0.417901 | − | 0.0600851i | ||||
\(292\) | 14.0532 | − | 12.1772i | 0.822404 | − | 0.712617i | ||||
\(293\) | 13.8642 | + | 30.3583i | 0.809953 | + | 1.77355i | 0.607611 | + | 0.794235i | \(0.292128\pi\) |
0.202342 | + | 0.979315i | \(0.435145\pi\) | |||||||
\(294\) | 11.8426 | + | 9.92517i | 0.690672 | + | 0.578847i | ||||
\(295\) | −4.57490 | − | 2.08929i | −0.266361 | − | 0.121643i | ||||
\(296\) | −0.941496 | − | 0.135367i | −0.0547233 | − | 0.00786803i | ||||
\(297\) | 0.152976 | − | 0.0983116i | 0.00887656 | − | 0.00570462i | ||||
\(298\) | − | 8.58153i | − | 0.497115i | ||||||
\(299\) | 12.6119 | − | 15.2376i | 0.729368 | − | 0.881214i | ||||
\(300\) | − | 10.5413i | − | 0.608601i | ||||||
\(301\) | 18.8044 | + | 16.0251i | 1.08387 | + | 0.923670i | ||||
\(302\) | −6.29470 | + | 43.7806i | −0.362219 | + | 2.51929i | ||||
\(303\) | −2.23046 | + | 4.88403i | −0.128137 | + | 0.280580i | ||||
\(304\) | 0.740205 | − | 0.217344i | 0.0424536 | − | 0.0124655i | ||||
\(305\) | 2.55038 | + | 5.58455i | 0.146034 | + | 0.319770i | ||||
\(306\) | −7.81265 | − | 9.01627i | −0.446619 | − | 0.515426i | ||||
\(307\) | 20.0223 | − | 2.87877i | 1.14273 | − | 0.164300i | 0.455156 | − | 0.890412i | \(-0.349584\pi\) |
0.687577 | + | 0.726112i | \(0.258674\pi\) | |||||||
\(308\) | −0.0113721 | − | 1.38197i | −0.000647988 | − | 0.0787450i | ||||
\(309\) | 4.46512 | + | 3.86905i | 0.254012 | + | 0.220103i | ||||
\(310\) | 4.84177 | − | 7.53394i | 0.274994 | − | 0.427899i | ||||
\(311\) | 15.9969 | − | 24.8916i | 0.907100 | − | 1.41148i | −0.00431606 | − | 0.999991i | \(-0.501374\pi\) |
0.911416 | − | 0.411485i | \(-0.134990\pi\) | |||||||
\(312\) | −5.20211 | + | 6.00355i | −0.294511 | + | 0.339884i | ||||
\(313\) | −31.4011 | − | 9.22018i | −1.77489 | − | 0.521156i | −0.780337 | − | 0.625359i | \(-0.784952\pi\) |
−0.994556 | + | 0.104204i | \(0.966771\pi\) | |||||||
\(314\) | 1.00027 | + | 6.95702i | 0.0564484 | + | 0.392607i | ||||
\(315\) | −2.58068 | − | 1.62865i | −0.145405 | − | 0.0917642i | ||||
\(316\) | 10.3430 | − | 4.72347i | 0.581837 | − | 0.265716i | ||||
\(317\) | 22.0417 | − | 6.47203i | 1.23799 | − | 0.363506i | 0.403728 | − | 0.914879i | \(-0.367714\pi\) |
0.834258 | + | 0.551374i | \(0.185896\pi\) | |||||||
\(318\) | −6.87814 | + | 15.0610i | −0.385707 | + | 0.844581i | ||||
\(319\) | −1.50468 | − | 0.216340i | −0.0842457 | − | 0.0121127i | ||||
\(320\) | 12.4135 | − | 7.97769i | 0.693937 | − | 0.445966i | ||||
\(321\) | −12.3611 | −0.689932 | ||||||||
\(322\) | 0.863419 | + | 27.9953i | 0.0481165 | + | 1.56012i | ||||
\(323\) | 2.79165 | 0.155332 | ||||||||
\(324\) | 2.41654 | − | 1.55302i | 0.134252 | − | 0.0862788i | ||||
\(325\) | 14.9811 | + | 2.15395i | 0.831001 | + | 0.119480i | ||||
\(326\) | 15.3288 | − | 33.5654i | 0.848985 | − | 1.85902i | ||||
\(327\) | −19.3689 | + | 5.68724i | −1.07111 | + | 0.314505i | ||||
\(328\) | 16.5387 | − | 7.55298i | 0.913198 | − | 0.417044i | ||||
\(329\) | 5.52159 | − | 8.74923i | 0.304415 | − | 0.482361i | ||||
\(330\) | 0.0658881 | + | 0.458262i | 0.00362702 | + | 0.0252265i | ||||
\(331\) | −11.8576 | − | 3.48170i | −0.651752 | − | 0.191372i | −0.0608904 | − | 0.998144i | \(-0.519394\pi\) |
−0.590862 | + | 0.806773i | \(0.701212\pi\) | |||||||
\(332\) | −16.9068 | + | 19.5115i | −0.927882 | + | 1.07083i | ||||
\(333\) | −0.266994 | + | 0.415450i | −0.0146312 | + | 0.0227665i | ||||
\(334\) | 17.1859 | − | 26.7417i | 0.940369 | − | 1.46324i | ||||
\(335\) | −2.10392 | − | 1.82306i | −0.114950 | − | 0.0996045i | ||||
\(336\) | 0.0325161 | + | 3.95143i | 0.00177390 | + | 0.215568i | ||||
\(337\) | −7.17478 | + | 1.03158i | −0.390835 | + | 0.0561936i | −0.334931 | − | 0.942243i | \(-0.608713\pi\) |
−0.0559039 | + | 0.998436i | \(0.517804\pi\) | |||||||
\(338\) | −5.79760 | − | 6.69079i | −0.315348 | − | 0.363931i | ||||
\(339\) | −4.88506 | − | 10.6968i | −0.265320 | − | 0.580970i | ||||
\(340\) | 17.1816 | − | 5.04496i | 0.931801 | − | 0.273602i | ||||
\(341\) | 0.265713 | − | 0.581831i | 0.0143892 | − | 0.0315079i | ||||
\(342\) | −0.162263 | + | 1.12856i | −0.00877415 | + | 0.0610256i | ||||
\(343\) | 2.18241 | − | 18.3912i | 0.117839 | − | 0.993033i | ||||
\(344\) | − | 17.9858i | − | 0.969731i | ||||||
\(345\) | −0.910766 | − | 5.45605i | −0.0490340 | − | 0.293744i | ||||
\(346\) | 12.6610i | 0.680662i | ||||||||
\(347\) | −3.63509 | + | 2.33613i | −0.195142 | + | 0.125410i | −0.634563 | − | 0.772871i | \(-0.718820\pi\) |
0.439421 | + | 0.898281i | \(0.355184\pi\) | |||||||
\(348\) | −23.7692 | − | 3.41750i | −1.27416 | − | 0.183197i | ||||
\(349\) | −11.8794 | − | 5.42516i | −0.635892 | − | 0.290402i | 0.0712667 | − | 0.997457i | \(-0.477296\pi\) |
−0.707158 | + | 0.707055i | \(0.750023\pi\) | |||||||
\(350\) | −17.9334 | + | 11.7347i | −0.958579 | + | 0.627246i | ||||
\(351\) | 1.71334 | + | 3.75169i | 0.0914513 | + | 0.200250i | ||||
\(352\) | 0.982464 | − | 0.851310i | 0.0523655 | − | 0.0453750i | ||||
\(353\) | −13.0707 | + | 1.87929i | −0.695685 | + | 0.100024i | −0.481080 | − | 0.876677i | \(-0.659755\pi\) |
−0.214605 | + | 0.976701i | \(0.568846\pi\) | |||||||
\(354\) | −9.23535 | − | 2.71174i | −0.490853 | − | 0.144128i | ||||
\(355\) | −7.10629 | + | 8.20110i | −0.377163 | + | 0.435269i | ||||
\(356\) | 43.9469 | + | 28.2429i | 2.32918 | + | 1.49687i | ||||
\(357\) | −3.91559 | + | 13.7529i | −0.207235 | + | 0.727882i | ||||
\(358\) | 13.5948 | − | 15.6893i | 0.718510 | − | 0.829204i | ||||
\(359\) | 3.71903 | − | 12.6659i | 0.196283 | − | 0.668479i | −0.801253 | − | 0.598326i | \(-0.795833\pi\) |
0.997536 | − | 0.0701533i | \(-0.0223489\pi\) | |||||||
\(360\) | 0.316156 | + | 2.19891i | 0.0166629 | + | 0.115893i | ||||
\(361\) | 12.2676 | + | 14.1576i | 0.645665 | + | 0.745137i | ||||
\(362\) | 6.10949 | + | 13.3779i | 0.321108 | + | 0.703128i | ||||
\(363\) | −3.08974 | − | 10.5227i | −0.162169 | − | 0.552298i | ||||
\(364\) | 31.0623 | + | 4.20550i | 1.62811 | + | 0.220428i | ||||
\(365\) | 7.39043 | + | 1.06258i | 0.386833 | + | 0.0556182i | ||||
\(366\) | 6.35224 | + | 9.88428i | 0.332037 | + | 0.516660i | ||||
\(367\) | 19.4708 | 1.01637 | 0.508183 | − | 0.861249i | \(-0.330318\pi\) | ||||
0.508183 | + | 0.861249i | \(0.330318\pi\) | |||||||
\(368\) | −5.30590 | + | 4.81180i | −0.276589 | + | 0.250832i | ||||
\(369\) | − | 9.43989i | − | 0.491421i | ||||||
\(370\) | −0.679769 | − | 1.05774i | −0.0353395 | − | 0.0549894i | ||||
\(371\) | 19.6195 | − | 2.98584i | 1.01859 | − | 0.155017i | ||||
\(372\) | 4.19744 | − | 9.19112i | 0.217627 | − | 0.476537i | ||||
\(373\) | −9.56478 | − | 32.5747i | −0.495246 | − | 1.68665i | −0.705256 | − | 0.708953i | \(-0.749168\pi\) |
0.210011 | − | 0.977699i | \(-0.432650\pi\) | |||||||
\(374\) | 1.97338 | − | 0.901213i | 0.102041 | − | 0.0466006i | ||||
\(375\) | 7.55722 | − | 6.54837i | 0.390253 | − | 0.338156i | ||||
\(376\) | −7.45494 | + | 1.07186i | −0.384459 | + | 0.0552769i | ||||
\(377\) | 9.71378 | − | 33.0821i | 0.500285 | − | 1.70381i | ||||
\(378\) | −5.33221 | − | 2.38231i | −0.274259 | − | 0.122533i | ||||
\(379\) | 0.131640 | − | 0.204837i | 0.00676191 | − | 0.0105217i | −0.837856 | − | 0.545891i | \(-0.816191\pi\) |
0.844618 | + | 0.535369i | \(0.179828\pi\) | |||||||
\(380\) | −1.43968 | − | 0.925228i | −0.0738542 | − | 0.0474632i | ||||
\(381\) | 6.24347 | + | 5.41000i | 0.319863 | + | 0.277163i | ||||
\(382\) | −5.49132 | + | 18.7017i | −0.280960 | + | 0.956862i | ||||
\(383\) | −2.06449 | − | 14.3589i | −0.105491 | − | 0.733704i | −0.972074 | − | 0.234673i | \(-0.924598\pi\) |
0.866584 | − | 0.499032i | \(-0.166311\pi\) | |||||||
\(384\) | 10.5367 | − | 9.13011i | 0.537699 | − | 0.465919i | ||||
\(385\) | 0.416373 | − | 0.366831i | 0.0212203 | − | 0.0186955i | ||||
\(386\) | 26.3976 | − | 7.75103i | 1.34360 | − | 0.394517i | ||||
\(387\) | −8.49429 | − | 3.87921i | −0.431789 | − | 0.197191i | ||||
\(388\) | −2.94429 | + | 20.4780i | −0.149474 | + | 1.03961i | ||||
\(389\) | −14.6822 | − | 22.8460i | −0.744418 | − | 1.15834i | −0.982349 | − | 0.187055i | \(-0.940106\pi\) |
0.237931 | − | 0.971282i | \(-0.423531\pi\) | |||||||
\(390\) | −10.5008 | −0.531728 | ||||||||
\(391\) | −23.3283 | + | 11.2977i | −1.17976 | + | 0.571349i | ||||
\(392\) | −11.2206 | + | 7.47480i | −0.566727 | + | 0.377535i | ||||
\(393\) | 7.46099 | − | 4.79489i | 0.376357 | − | 0.241870i | ||||
\(394\) | −6.44671 | + | 44.8379i | −0.324781 | + | 2.25890i | ||||
\(395\) | 4.15297 | + | 1.89660i | 0.208959 | + | 0.0954282i | ||||
\(396\) | 0.147164 | + | 0.501194i | 0.00739526 | + | 0.0251859i | ||||
\(397\) | 12.4054 | − | 5.66535i | 0.622609 | − | 0.284336i | −0.0790260 | − | 0.996873i | \(-0.525181\pi\) |
0.701635 | + | 0.712537i | \(0.252454\pi\) | |||||||
\(398\) | 0.337666 | + | 0.389687i | 0.0169257 | + | 0.0195332i | ||||
\(399\) | 1.23838 | − | 0.577913i | 0.0619967 | − | 0.0289318i | ||||
\(400\) | −5.25881 | − | 1.54412i | −0.262940 | − | 0.0772062i | ||||
\(401\) | 10.3538 | + | 8.97165i | 0.517046 | + | 0.448023i | 0.873878 | − | 0.486146i | \(-0.161598\pi\) |
−0.356832 | + | 0.934169i | \(0.616143\pi\) | |||||||
\(402\) | −4.48203 | − | 2.88043i | −0.223544 | − | 0.143663i | ||||
\(403\) | 12.2046 | + | 7.84341i | 0.607954 | + | 0.390708i | ||||
\(404\) | −11.6562 | − | 10.1002i | −0.579920 | − | 0.502503i | ||||
\(405\) | 1.10668 | + | 0.324952i | 0.0549916 | + | 0.0161470i | ||||
\(406\) | 20.6462 | + | 44.2418i | 1.02465 | + | 2.19569i | ||||
\(407\) | −0.0588081 | − | 0.0678682i | −0.00291501 | − | 0.00336410i | ||||
\(408\) | 9.46904 | − | 4.32437i | 0.468787 | − | 0.214088i | ||||
\(409\) | −2.34551 | − | 7.98808i | −0.115978 | − | 0.394985i | 0.880959 | − | 0.473193i | \(-0.156899\pi\) |
−0.996937 | + | 0.0782073i | \(0.975080\pi\) | |||||||
\(410\) | 21.8622 | + | 9.98412i | 1.07970 | + | 0.493080i | ||||
\(411\) | −0.472968 | + | 3.28956i | −0.0233298 | + | 0.162262i | ||||
\(412\) | −14.2774 | + | 9.17555i | −0.703399 | + | 0.452047i | ||||
\(413\) | 3.34125 | + | 11.0423i | 0.164412 | + | 0.543355i | ||||
\(414\) | −3.21130 | − | 10.0874i | −0.157827 | − | 0.495770i | ||||
\(415\) | −10.3664 | −0.508866 | ||||||||
\(416\) | 15.9409 | + | 24.8045i | 0.781567 | + | 1.21614i | ||||
\(417\) | 1.52178 | − | 10.5842i | 0.0745221 | − | 0.518313i | ||||
\(418\) | −0.188595 | − | 0.0861284i | −0.00922448 | − | 0.00421268i | ||||
\(419\) | −4.67543 | + | 1.37283i | −0.228410 | + | 0.0670672i | −0.393935 | − | 0.919138i | \(-0.628886\pi\) |
0.165525 | + | 0.986206i | \(0.447068\pi\) | |||||||
\(420\) | 6.57740 | − | 5.79480i | 0.320944 | − | 0.282757i | ||||
\(421\) | 20.5656 | − | 17.8202i | 1.00231 | − | 0.868505i | 0.0109832 | − | 0.999940i | \(-0.496504\pi\) |
0.991325 | + | 0.131435i | \(0.0419584\pi\) | |||||||
\(422\) | 3.27615 | + | 22.7861i | 0.159480 | + | 1.10921i | ||||
\(423\) | −1.10168 | + | 3.75198i | −0.0535655 | + | 0.182427i | ||||
\(424\) | −10.9184 | − | 9.46082i | −0.530243 | − | 0.459458i | ||||
\(425\) | −16.6849 | − | 10.7227i | −0.809336 | − | 0.520128i | ||||
\(426\) | −11.2279 | + | 17.4710i | −0.543994 | + | 0.846471i | ||||
\(427\) | 5.74460 | − | 12.8579i | 0.278001 | − | 0.622236i | ||||
\(428\) | 10.0038 | − | 34.0697i | 0.483550 | − | 1.64682i | ||||
\(429\) | −0.742359 | + | 0.106735i | −0.0358414 | + | 0.00515322i | ||||
\(430\) | 17.9680 | − | 15.5693i | 0.866493 | − | 0.750821i | ||||
\(431\) | −17.8362 | + | 8.14552i | −0.859139 | + | 0.392356i | −0.795744 | − | 0.605633i | \(-0.792920\pi\) |
−0.0633949 | + | 0.997989i | \(0.520193\pi\) | |||||||
\(432\) | −0.420782 | − | 1.43305i | −0.0202449 | − | 0.0689477i | ||||
\(433\) | 2.89909 | − | 6.34811i | 0.139321 | − | 0.305071i | −0.827091 | − | 0.562068i | \(-0.810006\pi\) |
0.966412 | + | 0.256997i | \(0.0827331\pi\) | |||||||
\(434\) | −20.3091 | + | 3.09078i | −0.974867 | + | 0.148362i | ||||
\(435\) | −5.21292 | − | 8.11146i | −0.249940 | − | 0.388915i | ||||
\(436\) | − | 57.9872i | − | 2.77708i | ||||||
\(437\) | 2.27598 | + | 0.977859i | 0.108875 | + | 0.0467773i | ||||
\(438\) | 14.2892 | 0.682766 | ||||||||
\(439\) | −12.8947 | − | 20.0646i | −0.615431 | − | 0.957629i | −0.999412 | − | 0.0342879i | \(-0.989084\pi\) |
0.383981 | − | 0.923341i | \(-0.374553\pi\) | |||||||
\(440\) | −0.399857 | − | 0.0574907i | −0.0190624 | − | 0.00274076i | ||||
\(441\) | 1.11009 | + | 6.91142i | 0.0528616 | + | 0.329115i | ||||
\(442\) | 13.8627 | + | 47.2120i | 0.659381 | + | 2.24564i | ||||
\(443\) | 12.7530 | + | 27.9251i | 0.605911 | + | 1.32676i | 0.925336 | + | 0.379149i | \(0.123783\pi\) |
−0.319425 | + | 0.947612i | \(0.603490\pi\) | |||||||
\(444\) | −0.928986 | − | 1.07211i | −0.0440877 | − | 0.0508799i | ||||
\(445\) | 2.98515 | + | 20.7621i | 0.141509 | + | 0.984220i | ||||
\(446\) | −11.3772 | + | 38.7473i | −0.538727 | + | 1.83474i | ||||
\(447\) | 2.54587 | − | 2.93809i | 0.120415 | − | 0.138967i | ||||
\(448\) | −32.5545 | − | 9.26857i | −1.53805 | − | 0.437899i | ||||
\(449\) | 20.7980 | + | 13.3661i | 0.981520 | + | 0.630785i | 0.929873 | − | 0.367881i | \(-0.119917\pi\) |
0.0516471 | + | 0.998665i | \(0.483553\pi\) | |||||||
\(450\) | 5.30460 | − | 6.12183i | 0.250061 | − | 0.288586i | ||||
\(451\) | 1.64704 | + | 0.483615i | 0.0775562 | + | 0.0227726i | ||||
\(452\) | 33.4358 | − | 4.80735i | 1.57269 | − | 0.226119i | ||||
\(453\) | −15.1434 | + | 13.1219i | −0.711500 | + | 0.616519i | ||||
\(454\) | −3.69900 | − | 8.09969i | −0.173603 | − | 0.380137i | ||||
\(455\) | 6.89147 | + | 10.5318i | 0.323077 | + | 0.493737i | ||||
\(456\) | −0.904950 | − | 0.413277i | −0.0423782 | − | 0.0193535i | ||||
\(457\) | 3.80759 | + | 0.547448i | 0.178111 | + | 0.0256085i | 0.230793 | − | 0.973003i | \(-0.425868\pi\) |
−0.0526820 | + | 0.998611i | \(0.516777\pi\) | |||||||
\(458\) | 40.8866 | − | 26.2762i | 1.91050 | − | 1.22781i | ||||
\(459\) | − | 5.40469i | − | 0.252269i | ||||||
\(460\) | 15.7750 | + | 1.90528i | 0.735513 | + | 0.0888343i | ||||
\(461\) | − | 17.2774i | − | 0.804689i | −0.915488 | − | 0.402344i | \(-0.868195\pi\) | ||
0.915488 | − | 0.402344i | \(-0.131805\pi\) | |||||||
\(462\) | 0.688832 | − | 0.808299i | 0.0320474 | − | 0.0376055i | ||||
\(463\) | −4.72660 | + | 32.8742i | −0.219664 | + | 1.52779i | 0.519619 | + | 0.854398i | \(0.326074\pi\) |
−0.739282 | + | 0.673395i | \(0.764835\pi\) | |||||||
\(464\) | −5.18671 | + | 11.3573i | −0.240787 | + | 0.527250i | ||||
\(465\) | 3.89277 | − | 1.14302i | 0.180523 | − | 0.0530063i | ||||
\(466\) | −3.68060 | − | 8.05938i | −0.170500 | − | 0.373344i | ||||
\(467\) | −5.25407 | − | 6.06352i | −0.243129 | − | 0.280586i | 0.621049 | − | 0.783772i | \(-0.286707\pi\) |
−0.864178 | + | 0.503185i | \(0.832161\pi\) | |||||||
\(468\) | −11.7270 | + | 1.68608i | −0.542079 | + | 0.0779393i | ||||
\(469\) | 0.0525471 | + | 6.38564i | 0.00242640 | + | 0.294861i | ||||
\(470\) | −7.52413 | − | 6.51970i | −0.347062 | − | 0.300731i | ||||
\(471\) | −1.72146 | + | 2.67865i | −0.0793207 | + | 0.123425i | ||||
\(472\) | 4.54058 | − | 7.06528i | 0.208997 | − | 0.325206i | ||||
\(473\) | 1.11200 | − | 1.28332i | 0.0511300 | − | 0.0590071i | ||||
\(474\) | 8.38361 | + | 2.46165i | 0.385072 | + | 0.113067i | ||||
\(475\) | 0.269752 | + | 1.87617i | 0.0123771 | + | 0.0860845i | ||||
\(476\) | −34.7369 | − | 21.9222i | −1.59216 | − | 1.00480i | ||||
\(477\) | −6.82302 | + | 3.11597i | −0.312405 | + | 0.142670i | ||||
\(478\) | 26.9593 | − | 7.91596i | 1.23309 | − | 0.362067i | ||||
\(479\) | −0.337016 | + | 0.737963i | −0.0153987 | + | 0.0337184i | −0.917175 | − | 0.398484i | \(-0.869536\pi\) |
0.901776 | + | 0.432203i | \(0.142264\pi\) | |||||||
\(480\) | 8.16172 | + | 1.17348i | 0.372530 | + | 0.0535617i | ||||
\(481\) | 1.71349 | − | 1.10119i | 0.0781282 | − | 0.0502099i | ||||
\(482\) | 44.6778 | 2.03502 | ||||||||
\(483\) | −8.00969 | + | 9.84098i | −0.364454 | + | 0.447780i | ||||
\(484\) | 31.5031 | 1.43196 | ||||||||
\(485\) | −6.98831 | + | 4.49111i | −0.317323 | + | 0.203931i | ||||
\(486\) | 2.18492 | + | 0.314144i | 0.0991099 | + | 0.0142498i | ||||
\(487\) | −1.16815 | + | 2.55788i | −0.0529338 | + | 0.115909i | −0.934251 | − | 0.356617i | \(-0.883930\pi\) |
0.881317 | + | 0.472525i | \(0.156658\pi\) | |||||||
\(488\) | −9.83674 | + | 2.88833i | −0.445288 | + | 0.130748i | ||||
\(489\) | 15.2060 | − | 6.94433i | 0.687638 | − | 0.314034i | ||||
\(490\) | −17.1805 | − | 4.73897i | −0.776135 | − | 0.214085i | ||||
\(491\) | −0.789073 | − | 5.48813i | −0.0356104 | − | 0.247676i | 0.964239 | − | 0.265034i | \(-0.0853833\pi\) |
−0.999849 | + | 0.0173588i | \(0.994474\pi\) | |||||||
\(492\) | 26.0182 | + | 7.63962i | 1.17299 | + | 0.344421i | ||||
\(493\) | −29.5876 | + | 34.1459i | −1.33256 | + | 1.53786i | ||||
\(494\) | 2.54237 | − | 3.95600i | 0.114386 | − | 0.177989i | ||||
\(495\) | −0.113393 | + | 0.176443i | −0.00509665 | + | 0.00793054i | ||||
\(496\) | −3.97039 | − | 3.44036i | −0.178276 | − | 0.154477i | ||||
\(497\) | 24.8912 | − | 0.204828i | 1.11652 | − | 0.00918781i | ||||
\(498\) | −19.6372 | + | 2.82341i | −0.879966 | + | 0.126520i | ||||
\(499\) | −21.6534 | − | 24.9894i | −0.969341 | − | 1.11868i | −0.992899 | − | 0.118957i | \(-0.962045\pi\) |
0.0235580 | − | 0.999722i | \(-0.492501\pi\) | |||||||
\(500\) | 11.9326 | + | 26.1287i | 0.533641 | + | 1.16851i | ||||
\(501\) | 13.8174 | − | 4.05715i | 0.617316 | − | 0.181260i | ||||
\(502\) | 3.03440 | − | 6.64441i | 0.135432 | − | 0.296555i | ||||
\(503\) | 1.81101 | − | 12.5959i | 0.0807491 | − | 0.561623i | −0.908778 | − | 0.417279i | \(-0.862984\pi\) |
0.989528 | − | 0.144344i | \(-0.0461071\pi\) | |||||||
\(504\) | 3.30528 | − | 3.87853i | 0.147229 | − | 0.172763i | ||||
\(505\) | − | 6.19292i | − | 0.275581i | ||||||
\(506\) | 1.92454 | − | 0.0435080i | 0.0855563 | − | 0.00193417i | ||||
\(507\) | − | 4.01071i | − | 0.178122i | ||||||
\(508\) | −19.9638 | + | 12.8299i | −0.885750 | + | 0.569237i | ||||
\(509\) | −13.4497 | − | 1.93377i | −0.596146 | − | 0.0857129i | −0.162365 | − | 0.986731i | \(-0.551912\pi\) |
−0.433782 | + | 0.901018i | \(0.642821\pi\) | |||||||
\(510\) | 12.5169 | + | 5.71628i | 0.554258 | + | 0.253121i | ||||
\(511\) | −9.37777 | − | 14.3314i | −0.414848 | − | 0.633985i | ||||
\(512\) | −6.82555 | − | 14.9459i | −0.301649 | − | 0.660520i | ||||
\(513\) | −0.390362 | + | 0.338251i | −0.0172349 | + | 0.0149341i | ||||
\(514\) | −10.2495 | + | 1.47366i | −0.452087 | + | 0.0650002i | ||||
\(515\) | −6.53852 | − | 1.91988i | −0.288122 | − | 0.0846001i | ||||
\(516\) | 17.5662 | − | 20.2725i | 0.773309 | − | 0.892446i | ||||
\(517\) | −0.598193 | − | 0.384435i | −0.0263085 | − | 0.0169074i | ||||
\(518\) | −0.789763 | + | 2.77392i | −0.0347002 | + | 0.121879i | ||||
\(519\) | −3.75613 | + | 4.33480i | −0.164876 | + | 0.190277i | ||||
\(520\) | 2.58137 | − | 8.79133i | 0.113200 | − | 0.385525i | ||||
\(521\) | −0.205262 | − | 1.42763i | −0.00899270 | − | 0.0625456i | 0.984831 | − | 0.173517i | \(-0.0555130\pi\) |
−0.993824 | + | 0.110971i | \(0.964604\pi\) | |||||||
\(522\) | −12.0842 | − | 13.9459i | −0.528910 | − | 0.610395i | ||||
\(523\) | −10.3203 | − | 22.5983i | −0.451274 | − | 0.988153i | −0.989390 | − | 0.145282i | \(-0.953591\pi\) |
0.538116 | − | 0.842871i | \(-0.319136\pi\) | |||||||
\(524\) | 7.17752 | + | 24.4444i | 0.313551 | + | 1.06786i | ||||
\(525\) | −9.62121 | − | 1.30261i | −0.419904 | − | 0.0568505i | ||||
\(526\) | 27.3978 | + | 3.93920i | 1.19460 | + | 0.171757i | ||||
\(527\) | −10.2781 | − | 15.9931i | −0.447723 | − | 0.696671i | ||||
\(528\) | 0.271592 | 0.0118195 | ||||||||
\(529\) | −22.9765 | + | 1.03939i | −0.998978 | + | 0.0451908i | ||||
\(530\) | − | 19.0973i | − | 0.829532i | ||||||
\(531\) | −2.35745 | − | 3.66826i | −0.102305 | − | 0.159189i | ||||
\(532\) | 0.590627 | + | 3.88092i | 0.0256069 | + | 0.168259i | ||||
\(533\) | −16.1737 | + | 35.4155i | −0.700562 | + | 1.53402i | ||||
\(534\) | 11.3096 | + | 38.5171i | 0.489415 | + | 1.66680i | ||||
\(535\) | 12.9690 | − | 5.92275i | 0.560699 | − | 0.256063i | ||||
\(536\) | 3.51332 | − | 3.04431i | 0.151752 | − | 0.131494i | ||||
\(537\) | 9.30902 | − | 1.33843i | 0.401714 | − | 0.0577577i | ||||
\(538\) | 11.7258 | − | 39.9344i | 0.505536 | − | 1.72170i | ||||
\(539\) | −1.26275 | − | 0.160393i | −0.0543907 | − | 0.00690863i | ||||
\(540\) | −1.79126 | + | 2.78726i | −0.0770836 | + | 0.119944i | ||||
\(541\) | −2.54177 | − | 1.63350i | −0.109279 | − | 0.0702296i | 0.484860 | − | 0.874592i | \(-0.338871\pi\) |
−0.594139 | + | 0.804362i | \(0.702507\pi\) | |||||||
\(542\) | −52.4710 | − | 45.4663i | −2.25382 | − | 1.95295i | ||||
\(543\) | −1.87707 | + | 6.39273i | −0.0805530 | + | 0.274338i | ||||
\(544\) | −5.49875 | − | 38.2446i | −0.235757 | − | 1.63973i | ||||
\(545\) | 17.5964 | − | 15.2474i | 0.753748 | − | 0.653126i | ||||
\(546\) | 15.9231 | + | 18.0736i | 0.681446 | + | 0.773477i | ||||
\(547\) | −7.35915 | + | 2.16084i | −0.314655 | + | 0.0923909i | −0.435247 | − | 0.900311i | \(-0.643339\pi\) |
0.120592 | + | 0.992702i | \(0.461521\pi\) | |||||||
\(548\) | −8.68390 | − | 3.96580i | −0.370958 | − | 0.169411i | ||||
\(549\) | −0.757513 | + | 5.26862i | −0.0323299 | + | 0.224859i | ||||
\(550\) | 0.796358 | + | 1.23916i | 0.0339568 | + | 0.0528378i | ||||
\(551\) | 4.31797 | 0.183952 | ||||||||
\(552\) | 9.23469 | − | 0.208768i | 0.393054 | − | 0.00888575i | ||||
\(553\) | −3.03310 | − | 10.0239i | −0.128980 | − | 0.426259i | ||||
\(554\) | −6.94181 | + | 4.46123i | −0.294929 | + | 0.189539i | ||||
\(555\) | 0.0810634 | − | 0.563808i | 0.00344095 | − | 0.0239323i | ||||
\(556\) | 27.9407 | + | 12.7601i | 1.18495 | + | 0.541147i | ||||
\(557\) | 4.74966 | + | 16.1758i | 0.201249 | + | 0.685393i | 0.996831 | + | 0.0795464i | \(0.0253472\pi\) |
−0.795582 | + | 0.605846i | \(0.792835\pi\) | |||||||
\(558\) | 7.06283 | − | 3.22549i | 0.298994 | − | 0.136546i | ||||
\(559\) | 25.2215 | + | 29.1072i | 1.06676 | + | 1.23110i | ||||
\(560\) | −1.92741 | − | 4.13016i | −0.0814480 | − | 0.174531i | ||||
\(561\) | 0.942994 | + | 0.276888i | 0.0398132 | + | 0.0116902i | ||||
\(562\) | −0.869246 | − | 0.753206i | −0.0366669 | − | 0.0317721i | ||||
\(563\) | 31.8865 | + | 20.4922i | 1.34385 | + | 0.863642i | 0.997231 | − | 0.0743625i | \(-0.0236922\pi\) |
0.346622 | + | 0.938005i | \(0.387329\pi\) | |||||||
\(564\) | −9.44959 | − | 6.07288i | −0.397899 | − | 0.255714i | ||||
\(565\) | 10.2506 | + | 8.88216i | 0.431244 | + | 0.373675i | ||||
\(566\) | −43.6733 | − | 12.8237i | −1.83573 | − | 0.539018i | ||||
\(567\) | −1.11885 | − | 2.39753i | −0.0469873 | − | 0.100687i | ||||
\(568\) | −11.8667 | − | 13.6949i | −0.497916 | − | 0.574625i | ||||
\(569\) | −30.8000 | + | 14.0659i | −1.29120 | + | 0.589672i | −0.938246 | − | 0.345968i | \(-0.887551\pi\) |
−0.352956 | + | 0.935640i | \(0.614823\pi\) | |||||||
\(570\) | −0.370499 | − | 1.26180i | −0.0155185 | − | 0.0528512i | ||||
\(571\) | −13.3561 | − | 6.09952i | −0.558934 | − | 0.255257i | 0.115856 | − | 0.993266i | \(-0.463039\pi\) |
−0.674791 | + | 0.738009i | \(0.735766\pi\) | |||||||
\(572\) | 0.306602 | − | 2.13247i | 0.0128197 | − | 0.0891629i | ||||
\(573\) | −7.42828 | + | 4.77386i | −0.310321 | + | 0.199431i | ||||
\(574\) | −15.9669 | − | 52.7680i | −0.666445 | − | 2.20249i | ||||
\(575\) | −9.84695 | − | 14.5864i | −0.410646 | − | 0.608296i | ||||
\(576\) | 12.7934 | 0.533059 | ||||||||
\(577\) | 4.34932 | + | 6.76768i | 0.181065 | + | 0.281742i | 0.919907 | − | 0.392136i | \(-0.128264\pi\) |
−0.738843 | + | 0.673878i | \(0.764627\pi\) | |||||||
\(578\) | 3.83591 | − | 26.6794i | 0.159553 | − | 1.10972i | ||||
\(579\) | 11.3373 | + | 5.17757i | 0.471162 | + | 0.215173i | ||||
\(580\) | 26.5755 | − | 7.80328i | 1.10349 | − | 0.324013i | ||||
\(581\) | 15.7193 | + | 17.8423i | 0.652147 | + | 0.740221i | ||||
\(582\) | −12.0149 | + | 10.4109i | −0.498033 | + | 0.431548i | ||||
\(583\) | −0.194114 | − | 1.35009i | −0.00803938 | − | 0.0559151i | ||||
\(584\) | −3.51267 | + | 11.9630i | −0.145355 | + | 0.495034i | ||||
\(585\) | −3.59519 | − | 3.11525i | −0.148643 | − | 0.128800i | ||||
\(586\) | −61.9750 | − | 39.8289i | −2.56016 | − | 1.64532i | ||||
\(587\) | −10.9306 | + | 17.0083i | −0.451153 | + | 0.702008i | −0.990105 | − | 0.140328i | \(-0.955184\pi\) |
0.538952 | + | 0.842337i | \(0.318821\pi\) | |||||||
\(588\) | −19.9476 | − | 2.53372i | −0.822625 | − | 0.104489i | ||||
\(589\) | −0.511873 | + | 1.74328i | −0.0210913 | + | 0.0718305i | ||||
\(590\) | 10.9888 | − | 1.57995i | 0.452402 | − | 0.0650456i | ||||
\(591\) | −15.5091 | + | 13.4387i | −0.637961 | + | 0.552796i | ||||
\(592\) | −0.670931 | + | 0.306404i | −0.0275751 | + | 0.0125931i | ||||
\(593\) | 5.76555 | + | 19.6357i | 0.236763 | + | 0.806340i | 0.989060 | + | 0.147516i | \(0.0471276\pi\) |
−0.752297 | + | 0.658824i | \(0.771054\pi\) | |||||||
\(594\) | −0.166746 | + | 0.365124i | −0.00684169 | + | 0.0149812i | ||||
\(595\) | −2.48147 | − | 16.3054i | −0.101730 | − | 0.668454i | ||||
\(596\) | 6.03759 | + | 9.39467i | 0.247309 | + | 0.384821i | ||||
\(597\) | 0.233593i | 0.00956033i | ||||||||
\(598\) | −5.23539 | + | 43.3470i | −0.214091 | + | 1.77259i | ||||
\(599\) | −42.0998 | −1.72015 | −0.860076 | − | 0.510166i | \(-0.829584\pi\) | ||||
−0.860076 | + | 0.510166i | \(0.829584\pi\) | |||||||
\(600\) | 3.82123 | + | 5.94595i | 0.156001 | + | 0.242742i | ||||
\(601\) | −43.0800 | − | 6.19397i | −1.75727 | − | 0.252657i | −0.813102 | − | 0.582122i | \(-0.802223\pi\) |
−0.944168 | + | 0.329464i | \(0.893132\pi\) | |||||||
\(602\) | −54.0436 | − | 7.31691i | −2.20265 | − | 0.298215i | ||||
\(603\) | −0.679997 | − | 2.31586i | −0.0276916 | − | 0.0943090i | ||||
\(604\) | −23.9109 | − | 52.3576i | −0.972922 | − | 2.13040i | ||||
\(605\) | 8.28355 | + | 9.55972i | 0.336774 | + | 0.388658i | ||||
\(606\) | −1.68671 | − | 11.7314i | −0.0685181 | − | 0.476554i | ||||
\(607\) | −11.9954 | + | 40.8525i | −0.486877 | + | 1.65815i | 0.239531 | + | 0.970889i | \(0.423006\pi\) |
−0.726409 | + | 0.687263i | \(0.758812\pi\) | |||||||
\(608\) | −2.41814 | + | 2.79068i | −0.0980686 | + | 0.113177i | ||||
\(609\) | −6.05643 | + | 21.2723i | −0.245419 | + | 0.861997i | ||||
\(610\) | −11.4006 | − | 7.32671i | −0.461596 | − | 0.296650i | ||||
\(611\) | 10.5616 | − | 12.1887i | 0.427275 | − | 0.493102i | ||||
\(612\) | 14.8964 | + | 4.37397i | 0.602150 | + | 0.176807i | ||||
\(613\) | 24.3624 | − | 3.50278i | 0.983987 | − | 0.141476i | 0.368504 | − | 0.929626i | \(-0.379870\pi\) |
0.615483 | + | 0.788150i | \(0.288961\pi\) | |||||||
\(614\) | −33.7453 | + | 29.2405i | −1.36185 | + | 1.18005i | ||||
\(615\) | 4.52305 | + | 9.90410i | 0.182387 | + | 0.399372i | ||||
\(616\) | 0.507381 | + | 0.775396i | 0.0204430 | + | 0.0312416i | ||||
\(617\) | −24.6619 | − | 11.2627i | −0.992852 | − | 0.453420i | −0.148328 | − | 0.988938i | \(-0.547389\pi\) |
−0.844524 | + | 0.535518i | \(0.820116\pi\) | |||||||
\(618\) | −12.9089 | − | 1.85603i | −0.519274 | − | 0.0746603i | ||||
\(619\) | 7.04889 | − | 4.53005i | 0.283319 | − | 0.182078i | −0.391261 | − | 0.920280i | \(-0.627961\pi\) |
0.674580 | + | 0.738202i | \(0.264325\pi\) | |||||||
\(620\) | 11.6543i | 0.468047i | ||||||||
\(621\) | 1.89316 | − | 4.40635i | 0.0759697 | − | 0.176821i | ||||
\(622\) | 65.3138i | 2.61884i | ||||||||
\(623\) | 31.2085 | − | 36.6211i | 1.25034 | − | 1.46719i | ||||
\(624\) | −0.876661 | + | 6.09731i | −0.0350945 | + | 0.244088i | ||||
\(625\) | 2.83090 | − | 6.19881i | 0.113236 | − | 0.247953i | ||||
\(626\) | 69.3143 | − | 20.3525i | 2.77035 | − | 0.813450i | ||||
\(627\) | −0.0390183 | − | 0.0854381i | −0.00155824 | − | 0.00341207i | ||||
\(628\) | −5.98970 | − | 6.91248i | −0.239015 | − | 0.275838i | ||||
\(629\) | −2.64192 | + | 0.379851i | −0.105340 | + | 0.0151457i | ||||
\(630\) | 6.73589 | − | 0.0554292i | 0.268364 | − | 0.00220835i | ||||
\(631\) | −10.4959 | − | 9.09477i | −0.417836 | − | 0.362057i | 0.420424 | − | 0.907328i | \(-0.361881\pi\) |
−0.838260 | + | 0.545271i | \(0.816427\pi\) | |||||||
\(632\) | −4.12182 | + | 6.41368i | −0.163957 | + | 0.255122i | ||||
\(633\) | −5.63825 | + | 8.77328i | −0.224100 | + | 0.348707i | ||||
\(634\) | −33.2071 | + | 38.3230i | −1.31882 | + | 1.52200i | ||||
\(635\) | −9.14265 | − | 2.68452i | −0.362815 | − | 0.106532i | ||||
\(636\) | −3.06640 | − | 21.3273i | −0.121591 | − | 0.845682i | ||||
\(637\) | 7.67688 | − | 27.8315i | 0.304169 | − | 1.10272i | ||||
\(638\) | 3.05232 | − | 1.39395i | 0.120843 | − | 0.0551869i | ||||
\(639\) | −9.02721 | + | 2.65063i | −0.357111 | + | 0.104857i | ||||
\(640\) | −6.68023 | + | 14.6277i | −0.264059 | + | 0.578209i | ||||
\(641\) | −6.88192 | − | 0.989471i | −0.271820 | − | 0.0390818i | 0.00505709 | − | 0.999987i | \(-0.498390\pi\) |
−0.276877 | + | 0.960905i | \(0.589299\pi\) | |||||||
\(642\) | 22.9543 | − | 14.7518i | 0.905934 | − | 0.582208i | ||||
\(643\) | −12.7776 | −0.503899 | −0.251950 | − | 0.967740i | \(-0.581072\pi\) | ||||
−0.251950 | + | 0.967740i | \(0.581072\pi\) | |||||||
\(644\) | −20.6415 | − | 30.0405i | −0.813388 | − | 1.18376i | ||||
\(645\) | 10.7707 | 0.424095 | ||||||||
\(646\) | −5.18401 | + | 3.33156i | −0.203962 | + | 0.131079i | ||||
\(647\) | −41.7192 | − | 5.99831i | −1.64015 | − | 0.235818i | −0.740382 | − | 0.672187i | \(-0.765355\pi\) |
−0.899768 | + | 0.436369i | \(0.856264\pi\) | |||||||
\(648\) | −0.800113 | + | 1.75200i | −0.0314314 | + | 0.0688252i | ||||
\(649\) | 0.760802 | − | 0.223391i | 0.0298641 | − | 0.00876888i | ||||
\(650\) | −30.3900 | + | 13.8786i | −1.19199 | + | 0.544365i | ||||
\(651\) | −7.87022 | − | 4.96685i | −0.308458 | − | 0.194666i | ||||
\(652\) | 6.83387 | + | 47.5306i | 0.267635 | + | 1.86144i | ||||
\(653\) | 40.2287 | + | 11.8122i | 1.57427 | + | 0.462248i | 0.948241 | − | 0.317551i | \(-0.102861\pi\) |
0.626030 | + | 0.779799i | \(0.284679\pi\) | |||||||
\(654\) | 29.1804 | − | 33.6760i | 1.14104 | − | 1.31684i | ||||
\(655\) | −5.53045 | + | 8.60555i | −0.216093 | + | 0.336247i | ||||
\(656\) | 7.62247 | − | 11.8608i | 0.297608 | − | 0.463087i | ||||
\(657\) | 4.89225 | + | 4.23916i | 0.190865 | + | 0.165385i | ||||
\(658\) | 0.187921 | + | 22.8366i | 0.00732591 | + | 0.890262i | ||||
\(659\) | 26.5223 | − | 3.81333i | 1.03316 | − | 0.148546i | 0.395185 | − | 0.918602i | \(-0.370681\pi\) |
0.637977 | + | 0.770055i | \(0.279771\pi\) | |||||||
\(660\) | −0.394544 | − | 0.455328i | −0.0153576 | − | 0.0177236i | ||||
\(661\) | −11.5124 | − | 25.2086i | −0.447781 | − | 0.980503i | −0.990104 | − | 0.140333i | \(-0.955183\pi\) |
0.542324 | − | 0.840170i | \(-0.317545\pi\) | |||||||
\(662\) | 26.1743 | − | 7.68546i | 1.01729 | − | 0.298704i | ||||
\(663\) | −9.26007 | + | 20.2767i | −0.359631 | + | 0.787483i | ||||
\(664\) | 2.46357 | − | 17.1345i | 0.0956050 | − | 0.664947i | ||||
\(665\) | −1.02238 | + | 1.19969i | −0.0396461 | + | 0.0465221i | ||||
\(666\) | − | 1.09011i | − | 0.0422409i | ||||||
\(667\) | −36.0829 | + | 17.4747i | −1.39714 | + | 0.676621i | ||||
\(668\) | 41.3668i | 1.60053i | ||||||||
\(669\) | −15.3903 | + | 9.89077i | −0.595025 | + | 0.382399i | ||||
\(670\) | 6.08257 | + | 0.874542i | 0.234990 | + | 0.0337865i | ||||
\(671\) | −0.880444 | − | 0.402085i | −0.0339892 | − | 0.0155223i | ||||
\(672\) | −10.3565 | − | 15.8271i | −0.399509 | − | 0.610543i | ||||
\(673\) | 16.0175 | + | 35.0735i | 0.617430 | + | 1.35198i | 0.917374 | + | 0.398026i | \(0.130305\pi\) |
−0.299945 | + | 0.953957i | \(0.596968\pi\) | |||||||
\(674\) | 12.0923 | − | 10.4780i | 0.465777 | − | 0.403598i | ||||
\(675\) | 3.63230 | − | 0.522246i | 0.139807 | − | 0.0201013i | ||||
\(676\) | 11.0543 | + | 3.24583i | 0.425165 | + | 0.124840i | ||||
\(677\) | 21.2009 | − | 24.4671i | 0.814816 | − | 0.940347i | −0.184280 | − | 0.982874i | \(-0.558995\pi\) |
0.999095 | + | 0.0425266i | \(0.0135407\pi\) | |||||||
\(678\) | 21.8370 | + | 14.0338i | 0.838644 | + | 0.538964i | ||||
\(679\) | 18.3268 | + | 5.21782i | 0.703319 | + | 0.200242i | ||||
\(680\) | −7.86269 | + | 9.07403i | −0.301521 | + | 0.347973i | ||||
\(681\) | 1.13648 | − | 3.87049i | 0.0435500 | − | 0.148318i | ||||
\(682\) | 0.200937 | + | 1.39755i | 0.00769427 | + | 0.0535148i | ||||
\(683\) | 6.60020 | + | 7.61703i | 0.252550 | + | 0.291458i | 0.867841 | − | 0.496842i | \(-0.165507\pi\) |
−0.615291 | + | 0.788300i | \(0.710962\pi\) | |||||||
\(684\) | −0.616368 | − | 1.34966i | −0.0235674 | − | 0.0516054i | ||||
\(685\) | −1.07994 | − | 3.67794i | −0.0412625 | − | 0.140527i | ||||
\(686\) | 17.8955 | + | 36.7565i | 0.683252 | + | 1.40337i | ||||
\(687\) | 21.7938 | + | 3.13347i | 0.831484 | + | 0.119549i | ||||
\(688\) | −7.54033 | − | 11.7330i | −0.287472 | − | 0.447315i | ||||
\(689\) | 30.9366 | 1.17859 | ||||||||
\(690\) | 8.20253 | + | 9.04481i | 0.312265 | + | 0.344330i | ||||
\(691\) | 47.5765i | 1.80990i | 0.425523 | + | 0.904948i | \(0.360090\pi\) | ||||
−0.425523 | + | 0.904948i | \(0.639910\pi\) | |||||||
\(692\) | −8.90775 | − | 13.8607i | −0.338622 | − | 0.526906i | ||||
\(693\) | 0.475634 | − | 0.0723855i | 0.0180679 | − | 0.00274970i | ||||
\(694\) | 3.96232 | − | 8.67626i | 0.150408 | − | 0.329346i | ||||
\(695\) | 3.47474 | + | 11.8339i | 0.131804 | + | 0.448884i | ||||
\(696\) | 14.6462 | − | 6.68870i | 0.555163 | − | 0.253534i | ||||
\(697\) | 38.5581 | − | 33.4108i | 1.46049 | − | 1.26552i | ||||
\(698\) | 28.5342 | − | 4.10259i | 1.08003 | − | 0.155285i | ||||
\(699\) | 1.13082 | − | 3.85123i | 0.0427717 | − | 0.145667i | ||||
\(700\) | 11.3766 | − | 25.4637i | 0.429995 | − | 0.962439i | ||||
\(701\) | 21.7919 | − | 33.9089i | 0.823069 | − | 1.28072i | −0.134035 | − | 0.990977i | \(-0.542793\pi\) |
0.957104 | − | 0.289744i | \(-0.0935702\pi\) | |||||||
\(702\) | −7.65890 | − | 4.92208i | −0.289066 | − | 0.185772i | ||||
\(703\) | 0.192779 | + | 0.167044i | 0.00727080 | + | 0.00630019i | ||||
\(704\) | −0.655419 | + | 2.23215i | −0.0247021 | + | 0.0841275i | ||||
\(705\) | −0.641875 | − | 4.46434i | −0.0241744 | − | 0.168137i | ||||
\(706\) | 22.0292 | − | 19.0884i | 0.829081 | − | 0.718403i | ||||
\(707\) | −10.6590 | + | 9.39077i | −0.400874 | + | 0.353176i | ||||
\(708\) | 12.0183 | − | 3.52889i | 0.451675 | − | 0.132624i | ||||
\(709\) | 31.5689 | + | 14.4170i | 1.18559 | + | 0.541443i | 0.907884 | − | 0.419222i | \(-0.137697\pi\) |
0.277711 | + | 0.960665i | \(0.410424\pi\) | |||||||
\(710\) | 3.40896 | − | 23.7099i | 0.127936 | − | 0.889815i | ||||
\(711\) | 2.14003 | + | 3.32995i | 0.0802574 | + | 0.124883i | ||||
\(712\) | −35.0270 | −1.31269 | ||||||||
\(713\) | −2.77754 | − | 16.6391i | −0.104020 | − | 0.623141i | ||||
\(714\) | −9.14164 | − | 30.2117i | −0.342117 | − | 1.13064i | ||||
\(715\) | 0.727723 | − | 0.467679i | 0.0272153 | − | 0.0174902i | ||||
\(716\) | −3.84472 | + | 26.7406i | −0.143684 | + | 0.999344i | ||||
\(717\) | 11.5785 | + | 5.28774i | 0.432409 | + | 0.197474i | ||||
\(718\) | 8.20934 | + | 27.9585i | 0.306370 | + | 1.04340i | ||||
\(719\) | −45.7299 | + | 20.8841i | −1.70544 | + | 0.778847i | −0.708084 | + | 0.706129i | \(0.750440\pi\) |
−0.997353 | + | 0.0727180i | \(0.976833\pi\) | |||||||
\(720\) | 1.12811 | + | 1.30191i | 0.0420422 | + | 0.0485192i | ||||
\(721\) | 6.61040 | + | 14.1651i | 0.246184 | + | 0.527537i | ||||
\(722\) | −39.6764 | − | 11.6500i | −1.47660 | − | 0.433569i | ||||
\(723\) | 15.2965 | + | 13.2545i | 0.568882 | + | 0.492939i | ||||
\(724\) | −16.1005 | − | 10.3472i | −0.598370 | − | 0.384549i | ||||
\(725\) | −25.8073 | − | 16.5853i | −0.958458 | − | 0.615964i | ||||
\(726\) | 18.2954 | + | 15.8530i | 0.679005 | + | 0.588361i | ||||
\(727\) | 46.9637 | + | 13.7898i | 1.74179 | + | 0.511434i | 0.989138 | − | 0.146989i | \(-0.0469583\pi\) |
0.752647 | + | 0.658424i | \(0.228777\pi\) | |||||||
\(728\) | −19.0456 | + | 8.88797i | −0.705878 | + | 0.329410i | ||||
\(729\) | 0.654861 | + | 0.755750i | 0.0242541 | + | 0.0279907i | ||||
\(730\) | −14.9919 | + | 6.84657i | −0.554875 | + | 0.253403i | ||||
\(731\) | −14.2190 | − | 48.4255i | −0.525909 | − | 1.79108i | ||||
\(732\) | −13.9083 | − | 6.35170i | −0.514065 | − | 0.234766i | ||||
\(733\) | −7.12408 | + | 49.5491i | −0.263134 | + | 1.83014i | 0.245788 | + | 0.969324i | \(0.420953\pi\) |
−0.508921 | + | 0.860813i | \(0.669956\pi\) | |||||||
\(734\) | −36.1566 | + | 23.2365i | −1.33457 | + | 0.857673i | ||||
\(735\) | −4.47623 | − | 6.71939i | −0.165108 | − | 0.247849i | ||||
\(736\) | 8.91329 | − | 33.1063i | 0.328548 | − | 1.22032i | ||||
\(737\) | 0.438901 | 0.0161671 | ||||||||
\(738\) | 11.2656 | + | 17.5296i | 0.414692 | + | 0.645274i | ||||
\(739\) | −2.65326 | + | 18.4538i | −0.0976016 | + | 0.678834i | 0.881007 | + | 0.473103i | \(0.156866\pi\) |
−0.978609 | + | 0.205731i | \(0.934043\pi\) | |||||||
\(740\) | 1.48836 | + | 0.679711i | 0.0547132 | + | 0.0249867i | ||||
\(741\) | 2.04406 | − | 0.600189i | 0.0750903 | − | 0.0220485i | ||||
\(742\) | −32.8695 | + | 28.9586i | −1.20668 | + | 1.06310i | ||||
\(743\) | 14.8752 | − | 12.8894i | 0.545717 | − | 0.472867i | −0.337831 | − | 0.941207i | \(-0.609693\pi\) |
0.883548 | + | 0.468340i | \(0.155148\pi\) | |||||||
\(744\) | 0.964172 | + | 6.70596i | 0.0353483 | + | 0.245852i | ||||
\(745\) | −1.26330 | + | 4.30240i | −0.0462837 | + | 0.157628i | ||||
\(746\) | 56.6362 | + | 49.0756i | 2.07360 | + | 1.79678i | ||||
\(747\) | −7.56088 | − | 4.85908i | −0.276638 | − | 0.177784i | ||||
\(748\) | −1.52631 | + | 2.37499i | −0.0558075 | + | 0.0868382i | ||||
\(749\) | −29.8599 | − | 13.3407i | −1.09106 | − | 0.487458i | ||||
\(750\) | −6.21869 | + | 21.1789i | −0.227075 | + | 0.773345i | ||||
\(751\) | 36.0102 | − | 5.17749i | 1.31403 | − | 0.188929i | 0.550574 | − | 0.834786i | \(-0.314409\pi\) |
0.763458 | + | 0.645857i | \(0.223500\pi\) | |||||||
\(752\) | −4.41384 | + | 3.82461i | −0.160956 | + | 0.139469i | ||||
\(753\) | 3.01008 | − | 1.37466i | 0.109693 | − | 0.0500953i | ||||
\(754\) | 21.4421 | + | 73.0249i | 0.780874 | + | 2.65941i | ||||
\(755\) | 9.60087 | − | 21.0230i | 0.349412 | − | 0.765104i | ||||
\(756\) | 7.51354 | − | 1.14347i | 0.273265 | − | 0.0415875i | ||||
\(757\) | −8.12756 | − | 12.6467i | −0.295401 | − | 0.459653i | 0.661550 | − | 0.749901i | \(-0.269899\pi\) |
−0.956952 | + | 0.290247i | \(0.906262\pi\) | |||||||
\(758\) | 0.537475i | 0.0195220i | ||||||||
\(759\) | 0.671819 | + | 0.556054i | 0.0243855 | + | 0.0201835i | ||||
\(760\) | 1.14747 | 0.0416231 | ||||||||
\(761\) | −4.05170 | − | 6.30456i | −0.146874 | − | 0.228540i | 0.760020 | − | 0.649900i | \(-0.225189\pi\) |
−0.906894 | + | 0.421360i | \(0.861553\pi\) | |||||||
\(762\) | −18.0503 | − | 2.59523i | −0.653892 | − | 0.0940154i | ||||
\(763\) | −52.9260 | − | 7.16560i | −1.91605 | − | 0.259412i | ||||
\(764\) | −7.14605 | − | 24.3372i | −0.258535 | − | 0.880489i | ||||
\(765\) | 2.58962 | + | 5.67047i | 0.0936278 | + | 0.205016i | ||||
\(766\) | 20.9696 | + | 24.2002i | 0.757664 | + | 0.874390i | ||||
\(767\) | 2.55944 | + | 17.8013i | 0.0924160 | + | 0.642767i | ||||
\(768\) | −1.46183 | + | 4.97852i | −0.0527491 | + | 0.179647i | ||||
\(769\) | −15.1660 | + | 17.5025i | −0.546901 | + | 0.631157i | −0.960158 | − | 0.279457i | \(-0.909846\pi\) |
0.413257 | + | 0.910614i | \(0.364391\pi\) | |||||||
\(770\) | −0.335415 | + | 1.17810i | −0.0120875 | + | 0.0424556i | ||||
\(771\) | −3.94634 | − | 2.53616i | −0.142124 | − | 0.0913376i | ||||
\(772\) | −23.4456 | + | 27.0576i | −0.843824 | + | 0.973825i | ||||
\(773\) | 21.7140 | + |