Newspace parameters
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.39075800976.1 |
Defining polynomial: | \(x^{8} - x^{7} + 12 x^{6} - 13 x^{5} + 125 x^{4} - 116 x^{3} + 232 x^{2} + 96 x + 64\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 201.3 | ||
Root | \(-0.236942 + 0.410396i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.201 |
Dual form | 950.2.e.m.501.3 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | 0.236942 | − | 0.410396i | 0.136799 | − | 0.236942i | −0.789484 | − | 0.613771i | \(-0.789652\pi\) |
0.926283 | + | 0.376828i | \(0.122985\pi\) | |||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.236942 | − | 0.410396i | −0.0967313 | − | 0.167544i | ||||
\(7\) | −2.19155 | −0.828330 | −0.414165 | − | 0.910202i | \(-0.635926\pi\) | ||||
−0.414165 | + | 0.910202i | \(0.635926\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 1.38772 | + | 2.40360i | 0.462572 | + | 0.801199i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.96699 | −1.49760 | −0.748802 | − | 0.662794i | \(-0.769370\pi\) | ||||
−0.748802 | + | 0.662794i | \(0.769370\pi\) | |||||||
\(12\) | −0.473885 | −0.136799 | ||||||||
\(13\) | −1.14116 | − | 1.97656i | −0.316502 | − | 0.548198i | 0.663253 | − | 0.748395i | \(-0.269175\pi\) |
−0.979756 | + | 0.200197i | \(0.935842\pi\) | |||||||
\(14\) | −1.09578 | + | 1.89794i | −0.292859 | + | 0.507246i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −3.38772 | + | 5.86770i | −0.821642 | + | 1.42313i | 0.0828169 | + | 0.996565i | \(0.473608\pi\) |
−0.904459 | + | 0.426561i | \(0.859725\pi\) | |||||||
\(18\) | 2.77543 | 0.654176 | ||||||||
\(19\) | −3.12466 | + | 3.03916i | −0.716846 | + | 0.697232i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.519272 | + | 0.899406i | −0.113314 | + | 0.196266i | ||||
\(22\) | −2.48349 | + | 4.30154i | −0.529483 | + | 0.917091i | ||||
\(23\) | −3.84233 | − | 6.65511i | −0.801181 | − | 1.38769i | −0.918839 | − | 0.394632i | \(-0.870872\pi\) |
0.117658 | − | 0.993054i | \(-0.462461\pi\) | |||||||
\(24\) | −0.236942 | + | 0.410396i | −0.0483656 | + | 0.0837718i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.28233 | −0.447602 | ||||||||
\(27\) | 2.73689 | 0.526715 | ||||||||
\(28\) | 1.09578 | + | 1.89794i | 0.207082 | + | 0.358677i | ||||
\(29\) | −0.983494 | − | 1.70346i | −0.182630 | − | 0.316325i | 0.760145 | − | 0.649753i | \(-0.225128\pi\) |
−0.942775 | + | 0.333428i | \(0.891794\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.58388 | 1.36210 | 0.681052 | − | 0.732235i | \(-0.261523\pi\) | ||||
0.681052 | + | 0.732235i | \(0.261523\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | −1.17689 | + | 2.03843i | −0.204870 | + | 0.354846i | ||||
\(34\) | 3.38772 | + | 5.86770i | 0.580989 | + | 1.00630i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.38772 | − | 2.40360i | 0.231286 | − | 0.400599i | ||||
\(37\) | −7.38864 | −1.21469 | −0.607343 | − | 0.794440i | \(-0.707764\pi\) | ||||
−0.607343 | + | 0.794440i | \(0.707764\pi\) | |||||||
\(38\) | 1.06966 | + | 4.22562i | 0.173522 | + | 0.685485i | ||||
\(39\) | −1.08156 | −0.173188 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −5.70393 | + | 9.87950i | −0.890804 | + | 1.54292i | −0.0518913 | + | 0.998653i | \(0.516525\pi\) |
−0.838913 | + | 0.544266i | \(0.816808\pi\) | |||||||
\(42\) | 0.519272 | + | 0.899406i | 0.0801254 | + | 0.138781i | ||||
\(43\) | 5.07927 | − | 8.79756i | 0.774582 | − | 1.34161i | −0.160448 | − | 0.987044i | \(-0.551294\pi\) |
0.935029 | − | 0.354570i | \(-0.115373\pi\) | |||||||
\(44\) | 2.48349 | + | 4.30154i | 0.374401 | + | 0.648481i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.68466 | −1.13304 | ||||||||
\(47\) | −2.09578 | − | 3.62999i | −0.305701 | − | 0.529489i | 0.671717 | − | 0.740808i | \(-0.265557\pi\) |
−0.977417 | + | 0.211319i | \(0.932224\pi\) | |||||||
\(48\) | 0.236942 | + | 0.410396i | 0.0341997 | + | 0.0592356i | ||||
\(49\) | −2.19709 | −0.313870 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.60539 | + | 2.78061i | 0.224799 | + | 0.389364i | ||||
\(52\) | −1.14116 | + | 1.97656i | −0.158251 | + | 0.274099i | ||||
\(53\) | 2.09578 | + | 3.62999i | 0.287877 | + | 0.498618i | 0.973303 | − | 0.229525i | \(-0.0737172\pi\) |
−0.685426 | + | 0.728143i | \(0.740384\pi\) | |||||||
\(54\) | 1.36844 | − | 2.37022i | 0.186222 | − | 0.322545i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.19155 | 0.292859 | ||||||||
\(57\) | 0.506896 | + | 2.00245i | 0.0671401 | + | 0.265232i | ||||
\(58\) | −1.96699 | −0.258278 | ||||||||
\(59\) | −1.72044 | + | 2.97988i | −0.223982 | + | 0.387948i | −0.956013 | − | 0.293323i | \(-0.905239\pi\) |
0.732032 | + | 0.681271i | \(0.238572\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.36160 | + | 4.09041i | 0.302372 | + | 0.523724i | 0.976673 | − | 0.214733i | \(-0.0688882\pi\) |
−0.674301 | + | 0.738457i | \(0.735555\pi\) | |||||||
\(62\) | 3.79194 | − | 6.56783i | 0.481577 | − | 0.834115i | ||||
\(63\) | −3.04126 | − | 5.26761i | −0.383162 | − | 0.663657i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.17689 | + | 2.03843i | 0.144865 | + | 0.250914i | ||||
\(67\) | −0.404223 | − | 0.700134i | −0.0493836 | − | 0.0855350i | 0.840277 | − | 0.542157i | \(-0.182392\pi\) |
−0.889661 | + | 0.456622i | \(0.849059\pi\) | |||||||
\(68\) | 6.77543 | 0.821642 | ||||||||
\(69\) | −3.64164 | −0.438402 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.59854 | − | 9.69696i | 0.664425 | − | 1.15082i | −0.315016 | − | 0.949086i | \(-0.602010\pi\) |
0.979441 | − | 0.201731i | \(-0.0646568\pi\) | |||||||
\(72\) | −1.38772 | − | 2.40360i | −0.163544 | − | 0.283266i | ||||
\(73\) | 2.42850 | − | 4.20628i | 0.284234 | − | 0.492308i | −0.688189 | − | 0.725531i | \(-0.741594\pi\) |
0.972423 | + | 0.233224i | \(0.0749274\pi\) | |||||||
\(74\) | −3.69432 | + | 6.39875i | −0.429456 | + | 0.743840i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.19432 | + | 1.18645i | 0.481122 | + | 0.136095i | ||||
\(77\) | 10.8854 | 1.24051 | ||||||||
\(78\) | −0.540781 | + | 0.936659i | −0.0612313 | + | 0.106056i | ||||
\(79\) | −7.63427 | + | 13.2229i | −0.858922 | + | 1.48770i | 0.0140356 | + | 0.999901i | \(0.495532\pi\) |
−0.872958 | + | 0.487796i | \(0.837801\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.51467 | + | 6.08758i | −0.390518 | + | 0.676398i | ||||
\(82\) | 5.70393 | + | 9.87950i | 0.629894 | + | 1.09101i | ||||
\(83\) | 12.7232 | 1.39655 | 0.698276 | − | 0.715828i | \(-0.253951\pi\) | ||||
0.698276 | + | 0.715828i | \(0.253951\pi\) | |||||||
\(84\) | 1.03854 | 0.113314 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −5.07927 | − | 8.79756i | −0.547712 | − | 0.948665i | ||||
\(87\) | −0.932126 | −0.0999343 | ||||||||
\(88\) | 4.96699 | 0.529483 | ||||||||
\(89\) | 1.78233 | + | 3.08709i | 0.188927 | + | 0.327230i | 0.944893 | − | 0.327380i | \(-0.106166\pi\) |
−0.755966 | + | 0.654611i | \(0.772833\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.50093 | + | 4.33173i | 0.262168 | + | 0.454089i | ||||
\(92\) | −3.84233 | + | 6.65511i | −0.400591 | + | 0.693843i | ||||
\(93\) | 1.79694 | − | 3.11239i | 0.186334 | − | 0.322740i | ||||
\(94\) | −4.19155 | −0.432326 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.473885 | 0.0483656 | ||||||||
\(97\) | 0.0861680 | − | 0.149247i | 0.00874903 | − | 0.0151538i | −0.861618 | − | 0.507558i | \(-0.830548\pi\) |
0.870367 | + | 0.492404i | \(0.163882\pi\) | |||||||
\(98\) | −1.09854 | + | 1.90273i | −0.110970 | + | 0.192205i | ||||
\(99\) | −6.89277 | − | 11.9386i | −0.692750 | − | 1.19988i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.41199 | − | 12.8379i | −0.737521 | − | 1.27742i | −0.953609 | − | 0.301049i | \(-0.902663\pi\) |
0.216088 | − | 0.976374i | \(-0.430670\pi\) | |||||||
\(102\) | 3.21077 | 0.317914 | ||||||||
\(103\) | −14.6031 | −1.43889 | −0.719443 | − | 0.694552i | \(-0.755603\pi\) | ||||
−0.719443 | + | 0.694552i | \(0.755603\pi\) | |||||||
\(104\) | 1.14116 | + | 1.97656i | 0.111900 | + | 0.193817i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.19155 | 0.407120 | ||||||||
\(107\) | 0.363891 | 0.0351787 | 0.0175893 | − | 0.999845i | \(-0.494401\pi\) | ||||
0.0175893 | + | 0.999845i | \(0.494401\pi\) | |||||||
\(108\) | −1.36844 | − | 2.37022i | −0.131679 | − | 0.228074i | ||||
\(109\) | 6.61776 | − | 11.4623i | 0.633867 | − | 1.09789i | −0.352887 | − | 0.935666i | \(-0.614800\pi\) |
0.986754 | − | 0.162224i | \(-0.0518666\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.75068 | + | 3.03227i | −0.166167 | + | 0.287810i | ||||
\(112\) | 1.09578 | − | 1.89794i | 0.103541 | − | 0.179339i | ||||
\(113\) | −17.4894 | −1.64527 | −0.822633 | − | 0.568572i | \(-0.807496\pi\) | ||||
−0.822633 | + | 0.568572i | \(0.807496\pi\) | |||||||
\(114\) | 1.98762 | + | 0.562242i | 0.186158 | + | 0.0526588i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.983494 | + | 1.70346i | −0.0913151 | + | 0.158162i | ||||
\(117\) | 3.16723 | − | 5.48580i | 0.292810 | − | 0.507162i | ||||
\(118\) | 1.72044 | + | 2.97988i | 0.158379 | + | 0.274320i | ||||
\(119\) | 7.42437 | − | 12.8594i | 0.680591 | − | 1.17882i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 13.6710 | 1.24282 | ||||||||
\(122\) | 4.72320 | 0.427619 | ||||||||
\(123\) | 2.70301 | + | 4.68174i | 0.243722 | + | 0.422138i | ||||
\(124\) | −3.79194 | − | 6.56783i | −0.340526 | − | 0.589809i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −6.08251 | −0.541873 | ||||||||
\(127\) | −2.33272 | − | 4.04039i | −0.206995 | − | 0.358527i | 0.743771 | − | 0.668434i | \(-0.233035\pi\) |
−0.950767 | + | 0.309908i | \(0.899702\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | −2.40699 | − | 4.16903i | −0.211924 | − | 0.367062i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.449610 | + | 0.778747i | −0.0392826 | + | 0.0680395i | −0.884998 | − | 0.465594i | \(-0.845841\pi\) |
0.845716 | + | 0.533634i | \(0.179174\pi\) | |||||||
\(132\) | 2.35378 | 0.204870 | ||||||||
\(133\) | 6.84786 | − | 6.66049i | 0.593785 | − | 0.577538i | ||||
\(134\) | −0.808445 | −0.0698390 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.38772 | − | 5.86770i | 0.290494 | − | 0.503151i | ||||
\(137\) | 3.73787 | + | 6.47418i | 0.319348 | + | 0.553126i | 0.980352 | − | 0.197256i | \(-0.0632029\pi\) |
−0.661004 | + | 0.750382i | \(0.729870\pi\) | |||||||
\(138\) | −1.82082 | + | 3.15375i | −0.154999 | + | 0.268465i | ||||
\(139\) | 3.00961 | + | 5.21280i | 0.255272 | + | 0.442144i | 0.964969 | − | 0.262363i | \(-0.0845017\pi\) |
−0.709698 | + | 0.704506i | \(0.751168\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.98631 | −0.167278 | ||||||||
\(142\) | −5.59854 | − | 9.69696i | −0.469819 | − | 0.813751i | ||||
\(143\) | 5.66815 | + | 9.81753i | 0.473995 | + | 0.820983i | ||||
\(144\) | −2.77543 | −0.231286 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −2.42850 | − | 4.20628i | −0.200984 | − | 0.348114i | ||||
\(147\) | −0.520583 | + | 0.901676i | −0.0429370 | + | 0.0743690i | ||||
\(148\) | 3.69432 | + | 6.39875i | 0.303671 | + | 0.525974i | ||||
\(149\) | −2.99034 | + | 5.17942i | −0.244978 | + | 0.424314i | −0.962125 | − | 0.272607i | \(-0.912114\pi\) |
0.717147 | + | 0.696921i | \(0.245447\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.06777 | 0.493788 | 0.246894 | − | 0.969042i | \(-0.420590\pi\) | ||||
0.246894 | + | 0.969042i | \(0.420590\pi\) | |||||||
\(152\) | 3.12466 | − | 3.03916i | 0.253443 | − | 0.246509i | ||||
\(153\) | −18.8048 | −1.52028 | ||||||||
\(154\) | 5.44271 | − | 9.42706i | 0.438586 | − | 0.759654i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.540781 | + | 0.936659i | 0.0432971 | + | 0.0749928i | ||||
\(157\) | 0.954613 | − | 1.65344i | 0.0761864 | − | 0.131959i | −0.825415 | − | 0.564526i | \(-0.809059\pi\) |
0.901602 | + | 0.432567i | \(0.142392\pi\) | |||||||
\(158\) | 7.63427 | + | 13.2229i | 0.607350 | + | 1.05196i | ||||
\(159\) | 1.98631 | 0.157525 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 8.42068 | + | 14.5850i | 0.663642 | + | 1.14946i | ||||
\(162\) | 3.51467 | + | 6.08758i | 0.276138 | + | 0.478285i | ||||
\(163\) | −7.54533 | −0.590996 | −0.295498 | − | 0.955343i | \(-0.595486\pi\) | ||||
−0.295498 | + | 0.955343i | \(0.595486\pi\) | |||||||
\(164\) | 11.4079 | 0.890804 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.36160 | − | 11.0186i | 0.493756 | − | 0.855211i | ||||
\(167\) | 2.67782 | + | 4.63811i | 0.207216 | + | 0.358908i | 0.950836 | − | 0.309694i | \(-0.100227\pi\) |
−0.743621 | + | 0.668602i | \(0.766893\pi\) | |||||||
\(168\) | 0.519272 | − | 0.899406i | 0.0400627 | − | 0.0693907i | ||||
\(169\) | 3.89549 | − | 6.74718i | 0.299653 | − | 0.519014i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −11.6411 | − | 3.29292i | −0.890214 | − | 0.251816i | ||||
\(172\) | −10.1585 | −0.774582 | ||||||||
\(173\) | −0.790099 | + | 1.36849i | −0.0600701 | + | 0.104044i | −0.894497 | − | 0.447075i | \(-0.852466\pi\) |
0.834426 | + | 0.551119i | \(0.185799\pi\) | |||||||
\(174\) | −0.466063 | + | 0.807244i | −0.0353321 | + | 0.0611970i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.48349 | − | 4.30154i | 0.187200 | − | 0.324241i | ||||
\(177\) | 0.815288 | + | 1.41212i | 0.0612808 | + | 0.106142i | ||||
\(178\) | 3.56466 | 0.267183 | ||||||||
\(179\) | −4.18155 | −0.312544 | −0.156272 | − | 0.987714i | \(-0.549948\pi\) | ||||
−0.156272 | + | 0.987714i | \(0.549948\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.87350 | + | 3.24500i | 0.139256 | + | 0.241199i | 0.927215 | − | 0.374529i | \(-0.122196\pi\) |
−0.787959 | + | 0.615728i | \(0.788862\pi\) | |||||||
\(182\) | 5.00185 | 0.370762 | ||||||||
\(183\) | 2.23825 | 0.165456 | ||||||||
\(184\) | 3.84233 | + | 6.65511i | 0.283260 | + | 0.490621i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −1.79694 | − | 3.11239i | −0.131758 | − | 0.228212i | ||||
\(187\) | 16.8267 | − | 29.1448i | 1.23049 | − | 2.13128i | ||||
\(188\) | −2.09578 | + | 3.62999i | −0.152850 | + | 0.264744i | ||||
\(189\) | −5.99804 | −0.436293 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.96699 | −0.142326 | −0.0711631 | − | 0.997465i | \(-0.522671\pi\) | ||||
−0.0711631 | + | 0.997465i | \(0.522671\pi\) | |||||||
\(192\) | 0.236942 | − | 0.410396i | 0.0170998 | − | 0.0296178i | ||||
\(193\) | 6.92621 | − | 11.9965i | 0.498559 | − | 0.863530i | −0.501439 | − | 0.865193i | \(-0.667196\pi\) |
0.999999 | + | 0.00166273i | \(0.000529265\pi\) | |||||||
\(194\) | −0.0861680 | − | 0.149247i | −0.00618650 | − | 0.0107153i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.09854 | + | 1.90273i | 0.0784674 | + | 0.135910i | ||||
\(197\) | −17.2218 | −1.22701 | −0.613503 | − | 0.789693i | \(-0.710240\pi\) | ||||
−0.613503 | + | 0.789693i | \(0.710240\pi\) | |||||||
\(198\) | −13.7855 | −0.979696 | ||||||||
\(199\) | −4.60723 | − | 7.97995i | −0.326598 | − | 0.565684i | 0.655237 | − | 0.755424i | \(-0.272569\pi\) |
−0.981834 | + | 0.189740i | \(0.939236\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.383110 | −0.0270225 | ||||||||
\(202\) | −14.8240 | −1.04301 | ||||||||
\(203\) | 2.15538 | + | 3.73323i | 0.151278 | + | 0.262021i | ||||
\(204\) | 1.60539 | − | 2.78061i | 0.112400 | − | 0.194682i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −7.30155 | + | 12.6467i | −0.508723 | + | 0.881134i | ||||
\(207\) | 10.6641 | − | 18.4708i | 0.741208 | − | 1.28381i | ||||
\(208\) | 2.28233 | 0.158251 | ||||||||
\(209\) | 15.5201 | − | 15.0955i | 1.07355 | − | 1.04418i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.89048 | − | 10.2026i | 0.405518 | − | 0.702377i | −0.588864 | − | 0.808232i | \(-0.700425\pi\) |
0.994382 | + | 0.105855i | \(0.0337580\pi\) | |||||||
\(212\) | 2.09578 | − | 3.62999i | 0.143939 | − | 0.249309i | ||||
\(213\) | −2.65306 | − | 4.59524i | −0.181785 | − | 0.314861i | ||||
\(214\) | 0.181945 | − | 0.315139i | 0.0124375 | − | 0.0215424i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.73689 | −0.186222 | ||||||||
\(217\) | −16.6205 | −1.12827 | ||||||||
\(218\) | −6.61776 | − | 11.4623i | −0.448211 | − | 0.776325i | ||||
\(219\) | −1.15083 | − | 1.99329i | −0.0777657 | − | 0.134694i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 15.4638 | 1.04021 | ||||||||
\(222\) | 1.75068 | + | 3.03227i | 0.117498 | + | 0.203513i | ||||
\(223\) | −0.298836 | + | 0.517599i | −0.0200115 | + | 0.0346610i | −0.875858 | − | 0.482569i | \(-0.839704\pi\) |
0.855846 | + | 0.517230i | \(0.173037\pi\) | |||||||
\(224\) | −1.09578 | − | 1.89794i | −0.0732147 | − | 0.126812i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −8.74471 | + | 15.1463i | −0.581690 | + | 1.00752i | ||||
\(227\) | −15.3364 | −1.01791 | −0.508957 | − | 0.860792i | \(-0.669969\pi\) | ||||
−0.508957 | + | 0.860792i | \(0.669969\pi\) | |||||||
\(228\) | 1.48073 | − | 1.44021i | 0.0980636 | − | 0.0953804i | ||||
\(229\) | 15.5802 | 1.02957 | 0.514784 | − | 0.857320i | \(-0.327872\pi\) | ||||
0.514784 | + | 0.857320i | \(0.327872\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.57922 | − | 4.46734i | 0.169700 | − | 0.293929i | ||||
\(232\) | 0.983494 | + | 1.70346i | 0.0645696 | + | 0.111838i | ||||
\(233\) | −14.7310 | + | 25.5148i | −0.965058 | + | 1.67153i | −0.255599 | + | 0.966783i | \(0.582273\pi\) |
−0.709459 | + | 0.704747i | \(0.751061\pi\) | |||||||
\(234\) | −3.16723 | − | 5.48580i | −0.207048 | − | 0.358618i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 3.44087 | 0.223982 | ||||||||
\(237\) | 3.61776 | + | 6.26615i | 0.234999 | + | 0.407030i | ||||
\(238\) | −7.42437 | − | 12.8594i | −0.481250 | − | 0.833550i | ||||
\(239\) | 1.34825 | 0.0872108 | 0.0436054 | − | 0.999049i | \(-0.486116\pi\) | ||||
0.0436054 | + | 0.999049i | \(0.486116\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.9331 | − | 24.1328i | −0.897507 | − | 1.55453i | −0.830671 | − | 0.556763i | \(-0.812043\pi\) |
−0.0668355 | − | 0.997764i | \(-0.521290\pi\) | |||||||
\(242\) | 6.83549 | − | 11.8394i | 0.439402 | − | 0.761066i | ||||
\(243\) | 5.77088 | + | 9.99546i | 0.370202 | + | 0.641209i | ||||
\(244\) | 2.36160 | − | 4.09041i | 0.151186 | − | 0.261862i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 5.40601 | 0.344675 | ||||||||
\(247\) | 9.57282 | + | 2.70788i | 0.609104 | + | 0.172298i | ||||
\(248\) | −7.58388 | −0.481577 | ||||||||
\(249\) | 3.01467 | − | 5.22155i | 0.191047 | − | 0.330902i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −14.4166 | − | 24.9703i | −0.909968 | − | 1.57611i | −0.814107 | − | 0.580715i | \(-0.802773\pi\) |
−0.0958610 | − | 0.995395i | \(-0.530560\pi\) | |||||||
\(252\) | −3.04126 | + | 5.26761i | −0.191581 | + | 0.331828i | ||||
\(253\) | 19.0848 | + | 33.0559i | 1.19985 | + | 2.07820i | ||||
\(254\) | −4.66544 | −0.292736 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 1.65083 | + | 2.85932i | 0.102976 | + | 0.178359i | 0.912909 | − | 0.408162i | \(-0.133830\pi\) |
−0.809934 | + | 0.586522i | \(0.800497\pi\) | |||||||
\(258\) | −4.81398 | −0.299705 | ||||||||
\(259\) | 16.1926 | 1.00616 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.72962 | − | 4.72784i | 0.168959 | − | 0.292646i | ||||
\(262\) | 0.449610 | + | 0.778747i | 0.0277770 | + | 0.0481112i | ||||
\(263\) | −5.59854 | + | 9.69696i | −0.345221 | + | 0.597940i | −0.985394 | − | 0.170291i | \(-0.945529\pi\) |
0.640173 | + | 0.768231i | \(0.278863\pi\) | |||||||
\(264\) | 1.17689 | − | 2.03843i | 0.0724326 | − | 0.125457i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −2.34422 | − | 9.26067i | −0.143734 | − | 0.567808i | ||||
\(267\) | 1.68924 | 0.103380 | ||||||||
\(268\) | −0.404223 | + | 0.700134i | −0.0246918 | + | 0.0427675i | ||||
\(269\) | 14.1998 | − | 24.5948i | 0.865777 | − | 1.49957i | −0.000496384 | − | 1.00000i | \(-0.500158\pi\) |
0.866273 | − | 0.499570i | \(-0.166509\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.2850 | + | 17.8142i | −0.624772 | + | 1.08214i | 0.363813 | + | 0.931472i | \(0.381475\pi\) |
−0.988585 | + | 0.150665i | \(0.951859\pi\) | |||||||
\(272\) | −3.38772 | − | 5.86770i | −0.205410 | − | 0.355781i | ||||
\(273\) | 2.37030 | 0.143457 | ||||||||
\(274\) | 7.47574 | 0.451626 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 1.82082 | + | 3.15375i | 0.109601 | + | 0.189834i | ||||
\(277\) | −8.99447 | −0.540425 | −0.270213 | − | 0.962801i | \(-0.587094\pi\) | ||||
−0.270213 | + | 0.962801i | \(0.587094\pi\) | |||||||
\(278\) | 6.01922 | 0.361009 | ||||||||
\(279\) | 10.5243 | + | 18.2286i | 0.630072 | + | 1.09132i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.78233 | + | 8.28324i | 0.285290 | + | 0.494137i | 0.972679 | − | 0.232152i | \(-0.0745768\pi\) |
−0.687390 | + | 0.726289i | \(0.741243\pi\) | |||||||
\(282\) | −0.993157 | + | 1.72020i | −0.0591416 | + | 0.102436i | ||||
\(283\) | 1.25806 | − | 2.17902i | 0.0747836 | − | 0.129529i | −0.826209 | − | 0.563364i | \(-0.809507\pi\) |
0.900992 | + | 0.433835i | \(0.142840\pi\) | |||||||
\(284\) | −11.1971 | −0.664425 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 11.3363 | 0.670330 | ||||||||
\(287\) | 12.5005 | − | 21.6515i | 0.737880 | − | 1.27805i | ||||
\(288\) | −1.38772 | + | 2.40360i | −0.0817720 | + | 0.141633i | ||||
\(289\) | −14.4532 | − | 25.0338i | −0.850191 | − | 1.47257i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.0408337 | − | 0.0707260i | −0.00239371 | − | 0.00414603i | ||||
\(292\) | −4.85699 | −0.284234 | ||||||||
\(293\) | −0.406116 | −0.0237256 | −0.0118628 | − | 0.999930i | \(-0.503776\pi\) | ||||
−0.0118628 | + | 0.999930i | \(0.503776\pi\) | |||||||
\(294\) | 0.520583 | + | 0.901676i | 0.0303610 | + | 0.0525868i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 7.38864 | 0.429456 | ||||||||
\(297\) | −13.5941 | −0.788809 | ||||||||
\(298\) | 2.99034 | + | 5.17942i | 0.173226 | + | 0.300036i | ||||
\(299\) | −8.76946 | + | 15.1892i | −0.507151 | + | 0.878411i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −11.1315 | + | 19.2803i | −0.641609 | + | 1.11130i | ||||
\(302\) | 3.03388 | − | 5.25484i | 0.174580 | − | 0.302382i | ||||
\(303\) | −7.02486 | −0.403568 | ||||||||
\(304\) | −1.06966 | − | 4.22562i | −0.0613493 | − | 0.242356i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −9.40238 | + | 16.2854i | −0.537498 | + | 0.930975i | ||||
\(307\) | −10.4555 | + | 18.1095i | −0.596729 | + | 1.03357i | 0.396571 | + | 0.918004i | \(0.370200\pi\) |
−0.993300 | + | 0.115561i | \(0.963133\pi\) | |||||||
\(308\) | −5.44271 | − | 9.42706i | −0.310127 | − | 0.537156i | ||||
\(309\) | −3.46009 | + | 5.99305i | −0.196838 | + | 0.340933i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −9.92397 | −0.562737 | −0.281368 | − | 0.959600i | \(-0.590788\pi\) | ||||
−0.281368 | + | 0.959600i | \(0.590788\pi\) | |||||||
\(312\) | 1.08156 | 0.0612313 | ||||||||
\(313\) | 7.32766 | + | 12.6919i | 0.414184 | + | 0.717388i | 0.995342 | − | 0.0964027i | \(-0.0307336\pi\) |
−0.581158 | + | 0.813790i | \(0.697400\pi\) | |||||||
\(314\) | −0.954613 | − | 1.65344i | −0.0538719 | − | 0.0933089i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 15.2685 | 0.858922 | ||||||||
\(317\) | 17.5220 | + | 30.3490i | 0.984133 | + | 1.70457i | 0.645729 | + | 0.763567i | \(0.276554\pi\) |
0.338404 | + | 0.941001i | \(0.390113\pi\) | |||||||
\(318\) | 0.993157 | − | 1.72020i | 0.0556935 | − | 0.0964639i | ||||
\(319\) | 4.88500 | + | 8.46107i | 0.273508 | + | 0.473729i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.0862211 | − | 0.149339i | 0.00481239 | − | 0.00833531i | ||||
\(322\) | 16.8414 | 0.938532 | ||||||||
\(323\) | −7.24742 | − | 28.6304i | −0.403257 | − | 1.59304i | ||||
\(324\) | 7.02933 | 0.390518 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −3.77267 | + | 6.53445i | −0.208949 | + | 0.361910i | ||||
\(327\) | −3.13606 | − | 5.43181i | −0.173424 | − | 0.300380i | ||||
\(328\) | 5.70393 | − | 9.87950i | 0.314947 | − | 0.545504i | ||||
\(329\) | 4.59301 | + | 7.95533i | 0.253221 | + | 0.438591i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 21.4464 | 1.17880 | 0.589401 | − | 0.807841i | \(-0.299364\pi\) | ||||
0.589401 | + | 0.807841i | \(0.299364\pi\) | |||||||
\(332\) | −6.36160 | − | 11.0186i | −0.349138 | − | 0.604725i | ||||
\(333\) | −10.2533 | − | 17.7593i | −0.561880 | − | 0.973204i | ||||
\(334\) | 5.35563 | 0.293047 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.519272 | − | 0.899406i | −0.0283286 | − | 0.0490666i | ||||
\(337\) | −14.8593 | + | 25.7371i | −0.809438 | + | 1.40199i | 0.103815 | + | 0.994597i | \(0.466895\pi\) |
−0.913254 | + | 0.407392i | \(0.866438\pi\) | |||||||
\(338\) | −3.89549 | − | 6.74718i | −0.211886 | − | 0.366998i | ||||
\(339\) | −4.14398 | + | 7.17759i | −0.225070 | + | 0.389833i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −37.6690 | −2.03989 | ||||||||
\(342\) | −8.67228 | + | 8.43499i | −0.468943 | + | 0.456112i | ||||
\(343\) | 20.1559 | 1.08832 | ||||||||
\(344\) | −5.07927 | + | 8.79756i | −0.273856 | + | 0.474332i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.790099 | + | 1.36849i | 0.0424760 | + | 0.0735705i | ||||
\(347\) | 1.07651 | − | 1.86456i | 0.0577898 | − | 0.100095i | −0.835683 | − | 0.549212i | \(-0.814928\pi\) |
0.893473 | + | 0.449117i | \(0.148261\pi\) | |||||||
\(348\) | 0.466063 | + | 0.807244i | 0.0249836 | + | 0.0432728i | ||||
\(349\) | 17.5031 | 0.936920 | 0.468460 | − | 0.883485i | \(-0.344809\pi\) | ||||
0.468460 | + | 0.883485i | \(0.344809\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.12324 | − | 5.40961i | −0.166706 | − | 0.288744i | ||||
\(352\) | −2.48349 | − | 4.30154i | −0.132371 | − | 0.229273i | ||||
\(353\) | 21.3171 | 1.13459 | 0.567297 | − | 0.823513i | \(-0.307989\pi\) | ||||
0.567297 | + | 0.823513i | \(0.307989\pi\) | |||||||
\(354\) | 1.63058 | 0.0866642 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 1.78233 | − | 3.08709i | 0.0944633 | − | 0.163615i | ||||
\(357\) | −3.51829 | − | 6.09386i | −0.186208 | − | 0.322521i | ||||
\(358\) | −2.09077 | + | 3.62133i | −0.110501 | + | 0.191393i | ||||
\(359\) | −12.8547 | + | 22.2650i | −0.678445 | + | 1.17510i | 0.297004 | + | 0.954876i | \(0.404013\pi\) |
−0.975449 | + | 0.220226i | \(0.929321\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.526988 | − | 18.9927i | 0.0277362 | − | 0.999615i | ||||
\(362\) | 3.74700 | 0.196938 | ||||||||
\(363\) | 3.23923 | − | 5.61051i | 0.170016 | − | 0.294476i | ||||
\(364\) | 2.50093 | − | 4.33173i | 0.131084 | − | 0.227044i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.11913 | − | 1.93838i | 0.0584977 | − | 0.101321i | ||||
\(367\) | −7.17092 | − | 12.4204i | −0.374319 | − | 0.648339i | 0.615906 | − | 0.787820i | \(-0.288790\pi\) |
−0.990225 | + | 0.139480i | \(0.955457\pi\) | |||||||
\(368\) | 7.68466 | 0.400591 | ||||||||
\(369\) | −31.6618 | −1.64825 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.59301 | − | 7.95533i | −0.238457 | − | 0.413020i | ||||
\(372\) | −3.59388 | −0.186334 | ||||||||
\(373\) | −0.646114 | −0.0334545 | −0.0167273 | − | 0.999860i | \(-0.505325\pi\) | ||||
−0.0167273 | + | 0.999860i | \(0.505325\pi\) | |||||||
\(374\) | −16.8267 | − | 29.1448i | −0.870090 | − | 1.50704i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.09578 | + | 3.62999i | 0.108081 | + | 0.187203i | ||||
\(377\) | −2.24466 | + | 3.88786i | −0.115606 | + | 0.200235i | ||||
\(378\) | −2.99902 | + | 5.19446i | −0.154253 | + | 0.267174i | ||||
\(379\) | 13.1255 | 0.674213 | 0.337107 | − | 0.941466i | \(-0.390552\pi\) | ||||
0.337107 | + | 0.941466i | \(0.390552\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −2.21088 | −0.113267 | ||||||||
\(382\) | −0.983494 | + | 1.70346i | −0.0503199 | + | 0.0871567i | ||||
\(383\) | −5.59854 | + | 9.69696i | −0.286072 | + | 0.495492i | −0.972869 | − | 0.231358i | \(-0.925683\pi\) |
0.686796 | + | 0.726850i | \(0.259016\pi\) | |||||||
\(384\) | −0.236942 | − | 0.410396i | −0.0120914 | − | 0.0209429i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −6.92621 | − | 11.9965i | −0.352535 | − | 0.610608i | ||||
\(387\) | 28.1944 | 1.43320 | ||||||||
\(388\) | −0.172336 | −0.00874903 | ||||||||
\(389\) | 11.0037 | + | 19.0590i | 0.557909 | + | 0.966327i | 0.997671 | + | 0.0682127i | \(0.0217296\pi\) |
−0.439761 | + | 0.898115i | \(0.644937\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 52.0669 | 2.63314 | ||||||||
\(392\) | 2.19709 | 0.110970 | ||||||||
\(393\) | 0.213063 | + | 0.369036i | 0.0107476 | + | 0.0186154i | ||||
\(394\) | −8.61092 | + | 14.9145i | −0.433812 | + | 0.751384i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −6.89277 | + | 11.9386i | −0.346375 | + | 0.599939i | ||||
\(397\) | −4.78044 | + | 8.27996i | −0.239923 | + | 0.415559i | −0.960692 | − | 0.277616i | \(-0.910456\pi\) |
0.720769 | + | 0.693176i | \(0.243789\pi\) | |||||||
\(398\) | −9.21446 | −0.461879 | ||||||||
\(399\) | −1.11089 | − | 4.38849i | −0.0556141 | − | 0.219699i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −7.71543 | + | 13.3635i | −0.385290 | + | 0.667343i | −0.991809 | − | 0.127726i | \(-0.959232\pi\) |
0.606519 | + | 0.795069i | \(0.292565\pi\) | |||||||
\(402\) | −0.191555 | + | 0.331783i | −0.00955389 | + | 0.0165478i | ||||
\(403\) | −8.65446 | − | 14.9900i | −0.431109 | − | 0.746703i | ||||
\(404\) | −7.41199 | + | 12.8379i | −0.368760 | + | 0.638712i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.31076 | 0.213940 | ||||||||
\(407\) | 36.6993 | 1.81912 | ||||||||
\(408\) | −1.60539 | − | 2.78061i | −0.0794785 | − | 0.137661i | ||||
\(409\) | 7.70164 | + | 13.3396i | 0.380822 | + | 0.659602i | 0.991180 | − | 0.132523i | \(-0.0423079\pi\) |
−0.610358 | + | 0.792125i | \(0.708975\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.54264 | 0.174745 | ||||||||
\(412\) | 7.30155 | + | 12.6467i | 0.359721 | + | 0.623056i | ||||
\(413\) | 3.77043 | − | 6.53058i | 0.185531 | − | 0.321349i | ||||
\(414\) | −10.6641 | − | 18.4708i | −0.524113 | − | 0.907791i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.14116 | − | 1.97656i | 0.0559502 | − | 0.0969086i | ||||
\(417\) | 2.85242 | 0.139683 | ||||||||
\(418\) | −5.31300 | − | 20.9886i | −0.259867 | − | 1.02659i | ||||
\(419\) | −37.5581 | −1.83484 | −0.917418 | − | 0.397926i | \(-0.869730\pi\) | ||||
−0.917418 | + | 0.397926i | \(0.869730\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.91844 | − | 3.32283i | 0.0934990 | − | 0.161945i | −0.815482 | − | 0.578782i | \(-0.803528\pi\) |
0.908981 | + | 0.416837i | \(0.136861\pi\) | |||||||
\(422\) | −5.89048 | − | 10.2026i | −0.286744 | − | 0.496656i | ||||
\(423\) | 5.81669 | − | 10.0748i | 0.282817 | − | 0.489854i | ||||
\(424\) | −2.09578 | − | 3.62999i | −0.101780 | − | 0.176288i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −5.30613 | −0.257083 | ||||||||
\(427\) | −5.17558 | − | 8.96437i | −0.250464 | − | 0.433816i | ||||
\(428\) | −0.181945 | − | 0.315139i | −0.00879466 | − | 0.0152328i | ||||
\(429\) | 5.37210 | 0.259367 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −4.56282 | − | 7.90303i | −0.219783 | − | 0.380676i | 0.734958 | − | 0.678112i | \(-0.237202\pi\) |
−0.954742 | + | 0.297436i | \(0.903868\pi\) | |||||||
\(432\) | −1.36844 | + | 2.37022i | −0.0658393 | + | 0.114037i | ||||
\(433\) | 4.32766 | + | 7.49573i | 0.207974 | + | 0.360222i | 0.951076 | − | 0.308956i | \(-0.0999796\pi\) |
−0.743102 | + | 0.669178i | \(0.766646\pi\) | |||||||
\(434\) | −8.31024 | + | 14.3938i | −0.398904 | + | 0.690923i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.2355 | −0.633867 | ||||||||
\(437\) | 32.2319 | + | 9.11749i | 1.54186 | + | 0.436149i | ||||
\(438\) | −2.30166 | −0.109977 | ||||||||
\(439\) | 2.03757 | − | 3.52917i | 0.0972477 | − | 0.168438i | −0.813297 | − | 0.581849i | \(-0.802329\pi\) |
0.910544 | + | 0.413411i | \(0.135663\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.04893 | − | 5.28091i | −0.145187 | − | 0.251472i | ||||
\(442\) | 7.73189 | − | 13.3920i | 0.367768 | − | 0.636993i | ||||
\(443\) | 1.37121 | + | 2.37501i | 0.0651482 | + | 0.112840i | 0.896760 | − | 0.442518i | \(-0.145915\pi\) |
−0.831612 | + | 0.555358i | \(0.812581\pi\) | |||||||
\(444\) | 3.50136 | 0.166167 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0.298836 | + | 0.517599i | 0.0141503 | + | 0.0245090i | ||||
\(447\) | 1.41707 | + | 2.45445i | 0.0670253 | + | 0.116091i | ||||
\(448\) | −2.19155 | −0.103541 | ||||||||
\(449\) | −20.7753 | −0.980448 | −0.490224 | − | 0.871596i | \(-0.663085\pi\) | ||||
−0.490224 | + | 0.871596i | \(0.663085\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 28.3314 | − | 49.0713i | 1.33407 | − | 2.31068i | ||||
\(452\) | 8.74471 | + | 15.1463i | 0.411317 | + | 0.712421i | ||||
\(453\) | 1.43771 | − | 2.49019i | 0.0675496 | − | 0.116999i | ||||
\(454\) | −7.66821 | + | 13.2817i | −0.359887 | + | 0.623342i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −0.506896 | − | 2.00245i | −0.0237376 | − | 0.0937735i | ||||
\(457\) | 5.15669 | 0.241220 | 0.120610 | − | 0.992700i | \(-0.461515\pi\) | ||||
0.120610 | + | 0.992700i | \(0.461515\pi\) | |||||||
\(458\) | 7.79010 | − | 13.4928i | 0.364007 | − | 0.630479i | ||||
\(459\) | −9.27181 | + | 16.0592i | −0.432771 | + | 0.749581i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −17.7397 | + | 30.7261i | −0.826221 | + | 1.43106i | 0.0747623 | + | 0.997201i | \(0.476180\pi\) |
−0.900983 | + | 0.433855i | \(0.857153\pi\) | |||||||
\(462\) | −2.57922 | − | 4.46734i | −0.119996 | − | 0.207839i | ||||
\(463\) | 39.3280 | 1.82773 | 0.913865 | − | 0.406019i | \(-0.133083\pi\) | ||||
0.913865 | + | 0.406019i | \(0.133083\pi\) | |||||||
\(464\) | 1.96699 | 0.0913151 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 14.7310 | + | 25.5148i | 0.682399 | + | 1.18195i | ||||
\(467\) | −9.87174 | −0.456810 | −0.228405 | − | 0.973566i | \(-0.573351\pi\) | ||||
−0.228405 | + | 0.973566i | \(0.573351\pi\) | |||||||
\(468\) | −6.33445 | −0.292810 | ||||||||
\(469\) | 0.885876 | + | 1.53438i | 0.0409059 | + | 0.0708512i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.452376 | − | 0.783539i | −0.0208444 | − | 0.0361036i | ||||
\(472\) | 1.72044 | − | 2.97988i | 0.0791895 | − | 0.137160i | ||||
\(473\) | −25.2287 | + | 43.6974i | −1.16002 | + | 2.00921i | ||||
\(474\) | 7.23553 | 0.332339 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −14.8487 | −0.680591 | ||||||||
\(477\) | −5.81669 | + | 10.0748i | −0.266328 | + | 0.461294i | ||||
\(478\) | 0.674124 | − | 1.16762i | 0.0308337 | − | 0.0534055i | ||||
\(479\) | 9.36431 | + | 16.2195i | 0.427866 | + | 0.741086i | 0.996683 | − | 0.0813778i | \(-0.0259320\pi\) |
−0.568817 | + | 0.822464i | \(0.692599\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.43166 | + | 14.6041i | 0.384451 | + | 0.665888i | ||||
\(482\) | −27.8661 | −1.26927 | ||||||||
\(483\) | 7.98086 | 0.363142 | ||||||||
\(484\) | −6.83549 | − | 11.8394i | −0.310704 | − | 0.538155i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 11.5418 | 0.523545 | ||||||||
\(487\) | −17.9129 | −0.811711 | −0.405856 | − | 0.913937i | \(-0.633026\pi\) | ||||
−0.405856 | + | 0.913937i | \(0.633026\pi\) | |||||||
\(488\) | −2.36160 | − | 4.09041i | −0.106905 | − | 0.185164i | ||||
\(489\) | −1.78781 | + | 3.09658i | −0.0808475 | + | 0.140032i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −15.0101 | + | 25.9982i | −0.677396 | + | 1.17328i | 0.298367 | + | 0.954451i | \(0.403558\pi\) |
−0.975762 | + | 0.218832i | \(0.929775\pi\) | |||||||
\(492\) | 2.70301 | − | 4.68174i | 0.121861 | − | 0.211069i | ||||
\(493\) | 13.3272 | 0.600227 | ||||||||
\(494\) | 7.13150 | − | 6.93637i | 0.320861 | − | 0.312082i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.79194 | + | 6.56783i | −0.170263 | + | 0.294904i | ||||
\(497\) | −12.2695 | + | 21.2514i | −0.550363 | + | 0.953257i | ||||
\(498\) | −3.01467 | − | 5.22155i | −0.135090 | − | 0.233983i | ||||
\(499\) | −4.73966 | + | 8.20932i | −0.212176 | + | 0.367500i | −0.952395 | − | 0.304866i | \(-0.901388\pi\) |
0.740219 | + | 0.672366i | \(0.234722\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.53795 | 0.113387 | ||||||||
\(502\) | −28.8332 | −1.28689 | ||||||||
\(503\) | 2.43034 | + | 4.20947i | 0.108363 | + | 0.187691i | 0.915107 | − | 0.403210i | \(-0.132106\pi\) |
−0.806744 | + | 0.590901i | \(0.798772\pi\) | |||||||
\(504\) | 3.04126 | + | 5.26761i | 0.135468 | + | 0.234638i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 38.1696 | 1.69685 | ||||||||
\(507\) | −1.84601 | − | 3.19738i | −0.0819842 | − | 0.142001i | ||||
\(508\) | −2.33272 | + | 4.04039i | −0.103498 | + | 0.179263i | ||||
\(509\) | 14.5467 | + | 25.1957i | 0.644773 | + | 1.11678i | 0.984354 | + | 0.176202i | \(0.0563813\pi\) |
−0.339581 | + | 0.940577i | \(0.610285\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.32218 | + | 9.21829i | −0.235440 | + | 0.407793i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −8.55185 | + | 8.31785i | −0.377573 | + | 0.367242i | ||||
\(514\) | 3.30166 | 0.145630 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −2.40699 | + | 4.16903i | −0.105962 | + | 0.183531i | ||||
\(517\) | 10.4097 | + | 18.0301i | 0.457818 | + | 0.792964i | ||||
\(518\) | 8.09631 | − | 14.0232i | 0.355731 | − | 0.616145i | ||||
\(519\) | 0.374416 | + | 0.648507i | 0.0164350 | + | 0.0284663i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −8.76175 | −0.383859 | −0.191930 | − | 0.981409i | \(-0.561475\pi\) | ||||
−0.191930 | + | 0.981409i | \(0.561475\pi\) | |||||||
\(522\) | −2.72962 | − | 4.72784i | −0.119472 | − | 0.206932i | ||||
\(523\) | 1.34733 | + | 2.33365i | 0.0589147 | + | 0.102043i | 0.893978 | − | 0.448110i | \(-0.147903\pi\) |
−0.835064 | + | 0.550153i | \(0.814569\pi\) | |||||||
\(524\) | 0.899220 | 0.0392826 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.59854 | + | 9.69696i | 0.244108 | + | 0.422808i | ||||
\(527\) | −25.6920 | + | 44.4999i | −1.11916 | + | 1.93845i | ||||
\(528\) | −1.17689 | − | 2.03843i | −0.0512176 | − | 0.0887114i | ||||
\(529\) | −18.0270 | + | 31.2237i | −0.783782 | + | 1.35755i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −9.54991 | −0.414431 | ||||||||
\(532\) | −9.19208 | − | 2.60018i | −0.398527 | − | 0.112732i | ||||
\(533\) | 26.0365 | 1.12777 | ||||||||
\(534\) | 0.844619 | − | 1.46292i | 0.0365502 | − | 0.0633068i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0.404223 | + | 0.700134i | 0.0174598 | + | 0.0302412i | ||||
\(537\) | −0.990786 | + | 1.71609i | −0.0427556 | + | 0.0740548i | ||||
\(538\) | −14.1998 | − | 24.5948i | −0.612197 | − | 1.06036i | ||||
\(539\) | 10.9129 | 0.470052 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 21.9890 | + | 38.0861i | 0.945382 | + | 1.63745i | 0.754984 | + | 0.655743i | \(0.227644\pi\) |
0.190398 | + | 0.981707i | \(0.439022\pi\) | |||||||
\(542\) | 10.2850 | + | 17.8142i | 0.441780 | + | 0.765186i | ||||
\(543\) | 1.77565 | 0.0762003 | ||||||||
\(544\) | −6.77543 | −0.290494 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 1.18515 | − | 2.05274i | 0.0507197 | − | 0.0878492i | ||||
\(547\) | −9.49121 | − | 16.4393i | −0.405815 | − | 0.702892i | 0.588601 | − | 0.808424i | \(-0.299679\pi\) |
−0.994416 | + | 0.105532i | \(0.966346\pi\) | |||||||
\(548\) | 3.73787 | − | 6.47418i | 0.159674 | − | 0.276563i | ||||
\(549\) | −6.55447 | + | 11.3527i | −0.279738 | + | 0.484520i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 8.25018 | + | 2.33374i | 0.351469 | + | 0.0994206i | ||||
\(552\) | 3.64164 | 0.154999 | ||||||||
\(553\) | 16.7309 | − | 28.9788i | 0.711471 | − | 1.23230i | ||||
\(554\) | −4.49723 | + | 7.78944i | −0.191069 | + | 0.330941i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.00961 | − | 5.21280i | 0.127636 | − | 0.221072i | ||||
\(557\) | −2.51927 | − | 4.36351i | −0.106745 | − | 0.184888i | 0.807705 | − | 0.589587i | \(-0.200710\pi\) |
−0.914450 | + | 0.404699i | \(0.867376\pi\) | |||||||
\(558\) | 21.0485 | 0.891056 | ||||||||
\(559\) | −23.1851 | −0.980627 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −7.97394 | − | 13.8113i | −0.336660 | − | 0.583112i | ||||
\(562\) | 9.56466 | 0.403461 | ||||||||
\(563\) | 0.334560 | 0.0141000 | 0.00705002 | − | 0.999975i | \(-0.497756\pi\) | ||||
0.00705002 | + | 0.999975i | \(0.497756\pi\) | |||||||
\(564\) | 0.993157 | + | 1.72020i | 0.0418194 | + | 0.0724334i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −1.25806 | − | 2.17902i | −0.0528800 | − | 0.0915909i | ||||
\(567\) | 7.70258 | − | 13.3413i | 0.323478 | − | 0.560280i | ||||
\(568\) | −5.59854 | + | 9.69696i | −0.234910 | + | 0.406875i | ||||
\(569\) | 2.30155 | 0.0964859 | 0.0482430 | − | 0.998836i | \(-0.484638\pi\) | ||||
0.0482430 | + | 0.998836i | \(0.484638\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −23.6131 | −0.988178 | −0.494089 | − | 0.869411i | \(-0.664498\pi\) | ||||
−0.494089 | + | 0.869411i | \(0.664498\pi\) | |||||||
\(572\) | 5.66815 | − | 9.81753i | 0.236997 | − | 0.410491i | ||||
\(573\) | −0.466063 | + | 0.807244i | −0.0194701 | + | 0.0337231i | ||||
\(574\) | −12.5005 | − | 21.6515i | −0.521760 | − | 0.903715i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 1.38772 | + | 2.40360i | 0.0578215 | + | 0.100150i | ||||
\(577\) | −1.59399 | −0.0663587 | −0.0331793 | − | 0.999449i | \(-0.510563\pi\) | ||||
−0.0331793 | + | 0.999449i | \(0.510563\pi\) | |||||||
\(578\) | −28.9065 | −1.20235 | ||||||||
\(579\) | −3.28222 | − | 5.68498i | −0.136405 | − | 0.236260i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −27.8836 | −1.15681 | ||||||||
\(582\) | −0.0816674 | −0.00338522 | ||||||||
\(583\) | −10.4097 | − | 18.0301i | −0.431126 | − | 0.746732i | ||||
\(584\) | −2.42850 | + | 4.20628i | −0.100492 | + | 0.174057i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.203058 | + | 0.351707i | −0.00838826 | + | 0.0145289i | ||||
\(587\) | 4.86431 | − | 8.42524i | 0.200772 | − | 0.347747i | −0.748006 | − | 0.663692i | \(-0.768988\pi\) |
0.948777 | + | 0.315946i | \(0.102322\pi\) | |||||||
\(588\) | 1.04117 | 0.0429370 | ||||||||
\(589\) | −23.6970 | + | 23.0486i | −0.976419 | + | 0.949702i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −4.08058 | + | 7.06778i | −0.167853 | + | 0.290729i | ||||
\(592\) | 3.69432 | − | 6.39875i | 0.151836 | − | 0.262987i | ||||
\(593\) | −8.09757 | − | 14.0254i | −0.332527 | − | 0.575954i | 0.650480 | − | 0.759524i | \(-0.274568\pi\) |
−0.983007 | + | 0.183570i | \(0.941235\pi\) | |||||||
\(594\) | −6.79705 | + | 11.7728i | −0.278886 | + | 0.483045i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 5.98067 | 0.244978 | ||||||||
\(597\) | −4.36659 | −0.178713 | ||||||||
\(598\) | 8.76946 | + | 15.1892i | 0.358610 | + | 0.621131i | ||||
\(599\) | −11.6159 | − | 20.1194i | −0.474614 | − | 0.822055i | 0.524964 | − | 0.851125i | \(-0.324079\pi\) |
−0.999577 | + | 0.0290696i | \(0.990746\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 44.9899 | 1.83518 | 0.917588 | − | 0.397532i | \(-0.130133\pi\) | ||||
0.917588 | + | 0.397532i | \(0.130133\pi\) | |||||||
\(602\) | 11.1315 | + | 19.2803i | 0.453686 | + | 0.785807i | ||||
\(603\) | 1.12189 | − | 1.94318i | 0.0456870 | − | 0.0791322i | ||||
\(604\) | −3.03388 | − | 5.25484i | −0.123447 | − | 0.213816i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −3.51243 | + | 6.08371i | −0.142683 | + | 0.247134i | ||||
\(607\) | 36.6965 | 1.48947 | 0.744733 | − | 0.667363i | \(-0.232577\pi\) | ||||
0.744733 | + | 0.667363i | \(0.232577\pi\) | |||||||
\(608\) | −4.19432 | − | 1.18645i | −0.170102 | − | 0.0481170i | ||||
\(609\) | 2.04280 | 0.0827786 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −4.78326 | + | 8.28484i | −0.193510 | + | 0.335169i | ||||
\(612\) | 9.40238 | + | 16.2854i | 0.380069 | + | 0.658298i | ||||
\(613\) | −11.7090 | + | 20.2806i | −0.472921 | + | 0.819124i | −0.999520 | − | 0.0309903i | \(-0.990134\pi\) |
0.526598 | + | 0.850114i | \(0.323467\pi\) | |||||||
\(614\) | 10.4555 | + | 18.1095i | 0.421951 | + | 0.730841i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −10.8854 | −0.438586 | ||||||||
\(617\) | −8.56777 | − | 14.8398i | −0.344925 | − | 0.597428i | 0.640415 | − | 0.768029i | \(-0.278762\pi\) |
−0.985340 | + | 0.170601i | \(0.945429\pi\) | |||||||
\(618\) | 3.46009 | + | 5.99305i | 0.139185 | + | 0.241076i | ||||
\(619\) | 25.3556 | 1.01913 | 0.509564 | − | 0.860433i | \(-0.329807\pi\) | ||||
0.509564 | + | 0.860433i | \(0.329807\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −10.5160 | − | 18.2143i | −0.421994 | − | 0.730915i | ||||
\(622\) | −4.96199 | + | 8.59441i | −0.198957 | + | 0.344604i | ||||
\(623\) | −3.90607 | − | 6.76552i | −0.156494 | − | 0.271055i | ||||
\(624\) | 0.540781 | − | 0.936659i | 0.0216485 | − | 0.0374964i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 14.6553 | 0.585745 | ||||||||
\(627\) | −2.51775 | − | 9.94617i | −0.100549 | − | 0.397212i | ||||
\(628\) | −1.90923 | −0.0761864 | ||||||||
\(629\) | 25.0306 | − | 43.3543i | 0.998036 | − | 1.72865i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.2956 | − | 24.7607i | −0.569098 | − | 0.985707i | −0.996655 | − | 0.0817184i | \(-0.973959\pi\) |
0.427557 | − | 0.903988i | \(-0.359374\pi\) | |||||||
\(632\) | 7.63427 | − | 13.2229i | 0.303675 | − | 0.525980i | ||||
\(633\) | −2.79141 | − | 4.83486i | −0.110949 | − | 0.192169i | ||||
\(634\) | 35.0440 | 1.39177 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.993157 | − | 1.72020i | −0.0393812 | − | 0.0682103i | ||||
\(637\) | 2.50724 | + | 4.34267i | 0.0993404 | + | 0.172063i | ||||
\(638\) | 9.77001 | 0.386798 | ||||||||
\(639\) | 31.0768 | 1.22938 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.82404 | + | 3.15932i | −0.0720451 | + | 0.124786i | −0.899797 | − | 0.436308i | \(-0.856286\pi\) |
0.827752 | + | 0.561094i | \(0.189619\pi\) | |||||||
\(642\) | −0.0862211 | − | 0.149339i | −0.00340288 | − | 0.00589396i | ||||
\(643\) | −14.9459 | + | 25.8870i | −0.589408 | + | 1.02088i | 0.404902 | + | 0.914360i | \(0.367306\pi\) |
−0.994310 | + | 0.106524i | \(0.966028\pi\) | |||||||
\(644\) | 8.42068 | − | 14.5850i | 0.331821 | − | 0.574731i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −28.4183 | − | 8.03873i | −1.11810 | − | 0.316280i | ||||
\(647\) | −30.0091 | −1.17978 | −0.589890 | − | 0.807483i | \(-0.700829\pi\) | ||||
−0.589890 | + | 0.807483i | \(0.700829\pi\) | |||||||
\(648\) | 3.51467 | − | 6.08758i | 0.138069 | − | 0.239143i | ||||
\(649\) | 8.54539 | − | 14.8010i | 0.335436 | − | 0.580992i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −3.93810 | + | 6.82098i | −0.154346 | + | 0.267335i | ||||
\(652\) | 3.77267 | + | 6.53445i | 0.147749 | + | 0.255909i | ||||
\(653\) | 26.4776 | 1.03615 | 0.518074 | − | 0.855336i | \(-0.326649\pi\) | ||||
0.518074 | + | 0.855336i | \(0.326649\pi\) | |||||||
\(654\) | −6.27211 | −0.245259 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −5.70393 | − | 9.87950i | −0.222701 | − | 0.385730i | ||||
\(657\) | 13.4803 | 0.525915 | ||||||||
\(658\) | 9.18602 | 0.358108 | ||||||||
\(659\) | −0.581112 | − | 1.00652i | −0.0226369 | − | 0.0392083i | 0.854485 | − | 0.519476i | \(-0.173873\pi\) |
−0.877122 | + | 0.480268i | \(0.840540\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.9899 | − | 27.6953i | −0.621935 | − | 1.07722i | −0.989125 | − | 0.147077i | \(-0.953013\pi\) |
0.367190 | − | 0.930146i | \(-0.380320\pi\) | |||||||
\(662\) | 10.7232 | − | 18.5731i | 0.416769 | − | 0.721865i | ||||
\(663\) | 3.66402 | − | 6.34627i | 0.142299 | − | 0.246469i | ||||
\(664\) | −12.7232 | −0.493756 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −20.5067 | −0.794618 | ||||||||
\(667\) | −7.55782 | + | 13.0905i | −0.292640 | + | 0.506867i | ||||
\(668\) | 2.67782 | − | 4.63811i | 0.103608 | − | 0.179454i | ||||
\(669\) | 0.141614 | + | 0.245282i | 0.00547510 | + | 0.00948315i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −11.7300 | − | 20.3170i | −0.452833 | − | 0.784330i | ||||
\(672\) | −1.03854 | −0.0400627 | ||||||||
\(673\) | −48.3529 | −1.86387 | −0.931934 | − | 0.362629i | \(-0.881879\pi\) | ||||
−0.931934 | + | 0.362629i | \(0.881879\pi\) | |||||||
\(674\) | 14.8593 | + | 25.7371i | 0.572359 | + | 0.991355i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.79097 | −0.299653 | ||||||||
\(677\) | −33.6964 | −1.29506 | −0.647529 | − | 0.762041i | \(-0.724198\pi\) | ||||
−0.647529 | + | 0.762041i | \(0.724198\pi\) | |||||||
\(678\) | 4.14398 | + | 7.17759i | 0.159149 | + | 0.275654i | ||||
\(679\) | −0.188842 | + | 0.327084i | −0.00724708 | + | 0.0125523i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.63384 | + | 6.29400i | −0.139249 | + | 0.241187i | ||||
\(682\) | −18.8345 | + | 32.6223i | −0.721211 | + | 1.24917i | ||||
\(683\) | −18.3886 | −0.703622 | −0.351811 | − | 0.936071i | \(-0.614434\pi\) | ||||
−0.351811 | + | 0.936071i | \(0.614434\pi\) | |||||||
\(684\) | 2.96878 | + | 11.7279i | 0.113514 | + | 0.448428i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 10.0780 | − | 17.4555i | 0.384778 | − | 0.666456i | ||||
\(687\) | 3.69161 | − | 6.39405i | 0.140844 | − | 0.243948i | ||||
\(688\) | 5.07927 | + | 8.79756i | 0.193645 | + | 0.335404i | ||||
\(689\) | 4.78326 | − | 8.28484i | 0.182228 | − | 0.315627i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.2779 | 0.695322 | 0.347661 | − | 0.937620i | \(-0.386976\pi\) | ||||
0.347661 | + | 0.937620i | \(0.386976\pi\) | |||||||
\(692\) | 1.58020 | 0.0600701 | ||||||||
\(693\) | 15.1059 | + | 26.1642i | 0.573825 | + | 0.993895i | ||||
\(694\) | −1.07651 | − | 1.86456i | −0.0408636 | − | 0.0707778i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0.932126 | 0.0353321 | ||||||||
\(697\) | −38.6466 | − | 66.9379i | −1.46384 | − | 2.53545i | ||||
\(698\) | 8.75155 | − | 15.1581i | 0.331251 | − | 0.573744i | ||||
\(699\) | 6.98078 | + | 12.0911i | 0.264037 | + | 0.457326i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 4.80292 | − | 8.31891i | 0.181404 | − | 0.314201i | −0.760955 | − | 0.648805i | \(-0.775269\pi\) |
0.942359 | + | 0.334604i | \(0.108603\pi\) | |||||||
\(702\) | −6.24648 | −0.235758 | ||||||||
\(703\) | 23.0870 | − | 22.4553i | 0.870742 | − | 0.846917i | ||||
\(704\) | −4.96699 | −0.187200 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 10.6585 | − | 18.4611i | 0.401140 | − | 0.694794i | ||||
\(707\) | 16.2438 | + | 28.1351i | 0.610910 | + | 1.05813i | ||||
\(708\) | 0.815288 | − | 1.41212i | 0.0306404 | − | 0.0530708i | ||||
\(709\) | −10.2630 | − | 17.7760i | −0.385435 | − | 0.667593i | 0.606394 | − | 0.795164i | \(-0.292615\pi\) |
−0.991829 | + | 0.127571i | \(0.959282\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −42.3768 | −1.58925 | ||||||||
\(712\) | −1.78233 | − | 3.08709i | −0.0667956 | − | 0.115693i | ||||
\(713\) | −29.1398 | − | 50.4715i | −1.09129 | − | 1.89017i | ||||
\(714\) | −7.03659 | −0.263338 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 2.09077 | + | 3.62133i | 0.0781359 | + | 0.135335i | ||||
\(717\) | 0.319457 | − | 0.553315i | 0.0119303 | − | 0.0206639i | ||||
\(718\) | 12.8547 | + | 22.2650i | 0.479733 | + | 0.830922i | ||||
\(719\) | 4.32220 | − | 7.48626i | 0.161191 | − | 0.279190i | −0.774105 | − | 0.633057i | \(-0.781800\pi\) |
0.935296 | + | 0.353866i | \(0.115133\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 32.0035 | 1.19187 | ||||||||
\(722\) | −16.1847 | − | 9.95273i | −0.602331 | − | 0.370402i | ||||
\(723\) | −13.2053 | −0.491111 | ||||||||
\(724\) | 1.87350 | − | 3.24500i | 0.0696281 | − | 0.120599i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −3.23923 | − | 5.61051i | −0.120219 | − | 0.208226i | ||||
\(727\) | −10.3547 | + | 17.9348i | −0.384033 | + | 0.665164i | −0.991634 | − | 0.129078i | \(-0.958798\pi\) |
0.607602 | + | 0.794242i | \(0.292132\pi\) | |||||||
\(728\) | −2.50093 | − | 4.33173i | −0.0926905 | − | 0.160545i | ||||
\(729\) | −15.6185 | −0.578464 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 34.4143 | + | 59.6073i | 1.27286 | + | 2.20465i | ||||
\(732\) | −1.11913 | − | 1.93838i | −0.0413641 | − | 0.0716447i | ||||
\(733\) | 24.8157 | 0.916590 | 0.458295 | − | 0.888800i | \(-0.348460\pi\) | ||||
0.458295 | + | 0.888800i | \(0.348460\pi\) | |||||||
\(734\) | −14.3418 | −0.529367 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.84233 | − | 6.65511i | 0.141630 | − | 0.245311i | ||||
\(737\) | 2.00777 | + | 3.47756i | 0.0739571 | + | 0.128097i | ||||
\(738\) | −15.8309 | + | 27.4199i | −0.582743 | + | 1.00934i | ||||
\(739\) | −2.07422 | + | 3.59265i | −0.0763013 | + | 0.132158i | −0.901651 | − | 0.432464i | \(-0.857644\pi\) |
0.825350 | + | 0.564621i | \(0.190978\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3.37951 | − | 3.28704i | 0.124149 | − | 0.120752i | ||||
\(742\) | −9.18602 | −0.337229 | ||||||||
\(743\) | −0.401456 | + | 0.695343i | −0.0147280 | + | 0.0255097i | −0.873295 | − | 0.487191i | \(-0.838022\pi\) |
0.858567 | + | 0.512701i | \(0.171355\pi\) | |||||||
\(744\) | −1.79694 | + | 3.11239i | −0.0658791 | + | 0.114106i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −0.323057 | + | 0.559551i | −0.0118280 | + | 0.0204866i | ||||
\(747\) | 17.6562 | + | 30.5814i | 0.646007 | + | 1.11892i | ||||
\(748\) | −33.6535 | −1.23049 | ||||||||
\(749\) | −0.797487 | −0.0291395 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.1292 | − | 27.9366i | −0.588563 | − | 1.01942i | −0.994421 | − | 0.105485i | \(-0.966360\pi\) |
0.405858 | − | 0.913936i | \(-0.366973\pi\) | |||||||
\(752\) | 4.19155 | 0.152850 | ||||||||
\(753\) | −13.6636 | −0.497930 | ||||||||
\(754\) | 2.24466 | + | 3.88786i | 0.0817456 | + | 0.141588i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 2.99902 | + | 5.19446i | 0.109073 | + | 0.188921i | ||||
\(757\) | 18.0531 | − | 31.2689i | 0.656151 | − | 1.13649i | −0.325453 | − | 0.945558i | \(-0.605517\pi\) |
0.981604 | − | 0.190929i | \(-0.0611500\pi\) | |||||||
\(758\) | 6.56277 | − | 11.3670i | 0.238370 | − | 0.412870i | ||||
\(759\) | 18.0880 | 0.656552 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 3.07513 | 0.111473 | 0.0557367 | − | 0.998446i | \(-0.482249\pi\) | ||||
0.0557367 | + | 0.998446i | \(0.482249\pi\) | |||||||
\(762\) | −1.10544 | + | 1.91468i | −0.0400459 | + | 0.0693615i | ||||
\(763\) | −14.5032 | + | 25.1203i | −0.525051 | + | 0.909415i | ||||
\(764\) | 0.983494 | + | 1.70346i | 0.0355816 | + | 0.0616291i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 5.59854 | + | 9.69696i | 0.202284 | + | 0.350365i | ||||
\(767\) | 7.85321 | 0.283563 | ||||||||
\(768\) | −0.473885 | −0.0170998 | ||||||||
\(769\) | −0.423890 | − | 0.734199i | −0.0152859 | − | 0.0264759i | 0.858281 | − | 0.513180i | \(-0.171533\pi\) |
−0.873567 | + | 0.486704i | \(0.838199\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.56460 | 0.0563478 | ||||||||
\(772\) | −13.8524 | −0.498559 | ||||||||
\(773\) | 3.51743 | + | 6.09237i | 0.126513 | + | 0.219127i | 0.922323 | − | 0.386419i | \(-0.126288\pi\) |
−0.795810 | + | 0.605546i | \(0.792955\pi\) | |||||||
\(774\) | 14.0972 | − | 24.4170i | 0.506713 | − | 0.877652i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −0.0861680 | + | 0.149247i | −0.00309325 | + | 0.00535767i | ||||
\(777\) | 3.83672 | − | 6.64539i | 0.137641 | − | 0.238402i | ||||
\(778\) | 22.0074 | 0.789003 | ||||||||
\(779\) | −12.2026 | − | 48.2052i | −0.437202 | − | 1.72713i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −27.8079 | + | 48.1647i | −0.995045 | + | 1.72347i | ||||
\(782\) | 26.0334 | − | 45.0913i | 0.930954 | − | 1.61246i | ||||
\(783\) | −2.69171 | − | 4.66219i | −0.0961940 | − | 0.166613i | ||||
\(784\) | 1.09854 | − | 1.90273i | 0.0392337 | − | 0.0679548i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) |