Newspace parameters
Level: | \( N \) | \(=\) | \( 1323 = 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1323.g (of order \(3\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(10.5642081874\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{3})\) |
Twist minimal: | no (minimal twist has level 441) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 667.12 | ||
Character | \(\chi\) | \(=\) | 1323.667 |
Dual form | 1323.2.g.h.361.12 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1323\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.08816 | + | 1.88474i | 0.769442 | + | 1.33271i | 0.937866 | + | 0.346998i | \(0.112799\pi\) |
−0.168424 | + | 0.985715i | \(0.553868\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.36816 | + | 2.36973i | −0.684082 | + | 1.18487i | ||||
\(5\) | 1.26829 | 0.567196 | 0.283598 | − | 0.958943i | \(-0.408472\pi\) | ||||
0.283598 | + | 0.958943i | \(0.408472\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.60248 | −0.566563 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.38010 | + | 2.39040i | 0.436425 | + | 0.755910i | ||||
\(11\) | 5.47733 | 1.65148 | 0.825739 | − | 0.564053i | \(-0.190759\pi\) | ||||
0.825739 | + | 0.564053i | \(0.190759\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.37268 | − | 4.10960i | −0.658062 | − | 1.13980i | −0.981117 | − | 0.193417i | \(-0.938043\pi\) |
0.323054 | − | 0.946380i | \(-0.395290\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.992580 | + | 1.71920i | 0.248145 | + | 0.429800i | ||||
\(17\) | 2.40822 | + | 4.17116i | 0.584079 | + | 1.01165i | 0.994990 | + | 0.0999785i | \(0.0318774\pi\) |
−0.410911 | + | 0.911676i | \(0.634789\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.69059 | − | 4.66025i | 0.617265 | − | 1.06913i | −0.372718 | − | 0.927945i | \(-0.621574\pi\) |
0.989983 | − | 0.141189i | \(-0.0450925\pi\) | |||||||
\(20\) | −1.73523 | + | 3.00550i | −0.388009 | + | 0.672051i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.96019 | + | 10.3233i | 1.27072 | + | 2.20095i | ||||
\(23\) | 5.17631 | 1.07934 | 0.539668 | − | 0.841878i | \(-0.318550\pi\) | ||||
0.539668 | + | 0.841878i | \(0.318550\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.39144 | −0.678288 | ||||||||
\(26\) | 5.16368 | − | 8.94376i | 1.01268 | − | 1.75402i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.01656 | + | 3.49278i | −0.374466 | + | 0.648594i | −0.990247 | − | 0.139324i | \(-0.955507\pi\) |
0.615781 | + | 0.787917i | \(0.288841\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.732093 | + | 1.26802i | −0.131488 | + | 0.227744i | −0.924250 | − | 0.381787i | \(-0.875309\pi\) |
0.792763 | + | 0.609531i | \(0.208642\pi\) | |||||||
\(32\) | −3.76264 | + | 6.51709i | −0.665148 | + | 1.15207i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.24103 | + | 9.07773i | −0.898830 | + | 1.55682i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.959170 | + | 1.66133i | −0.157687 | + | 0.273121i | −0.934034 | − | 0.357184i | \(-0.883737\pi\) |
0.776347 | + | 0.630305i | \(0.217070\pi\) | |||||||
\(38\) | 11.7111 | 1.89980 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.03241 | −0.321352 | ||||||||
\(41\) | −1.94808 | − | 3.37418i | −0.304239 | − | 0.526958i | 0.672852 | − | 0.739777i | \(-0.265069\pi\) |
−0.977092 | + | 0.212819i | \(0.931736\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.66016 | + | 2.87549i | −0.253173 | + | 0.438508i | −0.964398 | − | 0.264457i | \(-0.914807\pi\) |
0.711225 | + | 0.702964i | \(0.248141\pi\) | |||||||
\(44\) | −7.49389 | + | 12.9798i | −1.12975 | + | 1.95678i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.63263 | + | 9.75600i | 0.830486 | + | 1.43844i | ||||
\(47\) | −1.57773 | − | 2.73271i | −0.230135 | − | 0.398606i | 0.727712 | − | 0.685882i | \(-0.240584\pi\) |
−0.957848 | + | 0.287276i | \(0.907250\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −3.69042 | − | 6.39199i | −0.521904 | − | 0.903964i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 12.9849 | 1.80068 | ||||||||
\(53\) | −3.57149 | − | 6.18601i | −0.490582 | − | 0.849714i | 0.509359 | − | 0.860554i | \(-0.329883\pi\) |
−0.999941 | + | 0.0108405i | \(0.996549\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.94684 | 0.936712 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −8.77732 | −1.15252 | ||||||||
\(59\) | −0.154341 | + | 0.267327i | −0.0200935 | + | 0.0348030i | −0.875897 | − | 0.482498i | \(-0.839730\pi\) |
0.855804 | + | 0.517301i | \(0.173063\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.17143 | + | 8.95719i | 0.662134 | + | 1.14685i | 0.980054 | + | 0.198732i | \(0.0636825\pi\) |
−0.317920 | + | 0.948118i | \(0.602984\pi\) | |||||||
\(62\) | −3.18652 | −0.404689 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −12.4070 | −1.55088 | ||||||||
\(65\) | −3.00924 | − | 5.21216i | −0.373250 | − | 0.646489i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.23655 | + | 3.87382i | −0.273238 | + | 0.473262i | −0.969689 | − | 0.244342i | \(-0.921428\pi\) |
0.696451 | + | 0.717604i | \(0.254761\pi\) | |||||||
\(68\) | −13.1794 | −1.59823 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.96688 | 0.233426 | 0.116713 | − | 0.993166i | \(-0.462764\pi\) | ||||
0.116713 | + | 0.993166i | \(0.462764\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.27515 | − | 9.13683i | −0.617409 | − | 1.06938i | −0.989957 | − | 0.141371i | \(-0.954849\pi\) |
0.372547 | − | 0.928013i | \(-0.378484\pi\) | |||||||
\(74\) | −4.17491 | −0.485323 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.36235 | + | 12.7520i | 0.844520 | + | 1.46275i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.50822 | + | 7.80846i | 0.507214 | + | 0.878520i | 0.999965 | + | 0.00835000i | \(0.00265792\pi\) |
−0.492751 | + | 0.870170i | \(0.664009\pi\) | |||||||
\(80\) | 1.25888 | + | 2.18044i | 0.140747 | + | 0.243781i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.23963 | − | 7.34326i | 0.468189 | − | 0.810927i | ||||
\(83\) | −5.08023 | + | 8.79921i | −0.557627 | + | 0.965839i | 0.440066 | + | 0.897965i | \(0.354955\pi\) |
−0.997694 | + | 0.0678739i | \(0.978378\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.05432 | + | 5.29023i | 0.331287 | + | 0.573806i | ||||
\(86\) | −7.22607 | −0.779207 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −8.77732 | −0.935666 | ||||||||
\(89\) | −2.59776 | + | 4.49945i | −0.275362 | + | 0.476941i | −0.970226 | − | 0.242200i | \(-0.922131\pi\) |
0.694864 | + | 0.719141i | \(0.255464\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −7.08205 | + | 12.2665i | −0.738354 | + | 1.27887i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.43363 | − | 5.94722i | 0.354152 | − | 0.613409i | ||||
\(95\) | 3.41245 | − | 5.91054i | 0.350110 | − | 0.606409i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.48521 | − | 4.30451i | 0.252335 | − | 0.437057i | −0.711833 | − | 0.702348i | \(-0.752135\pi\) |
0.964168 | + | 0.265291i | \(0.0854682\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.64005 | − | 8.03680i | 0.464005 | − | 0.803680i | ||||
\(101\) | 0.00533808 | 0.000531159 | 0.000265580 | − | 1.00000i | \(-0.499915\pi\) | ||||
0.000265580 | 1.00000i | \(0.499915\pi\) | ||||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −13.0348 | −1.28436 | −0.642180 | − | 0.766554i | \(-0.721970\pi\) | ||||
−0.642180 | + | 0.766554i | \(0.721970\pi\) | |||||||
\(104\) | 3.80217 | + | 6.58555i | 0.372834 | + | 0.645767i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.77268 | − | 13.4627i | 0.754950 | − | 1.30761i | ||||
\(107\) | 4.71081 | − | 8.15936i | 0.455411 | − | 0.788795i | −0.543301 | − | 0.839538i | \(-0.682826\pi\) |
0.998712 | + | 0.0507430i | \(0.0161589\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.44513 | − | 14.6274i | −0.808896 | − | 1.40105i | −0.913629 | − | 0.406549i | \(-0.866732\pi\) |
0.104732 | − | 0.994500i | \(-0.466601\pi\) | |||||||
\(110\) | 7.55924 | + | 13.0930i | 0.720746 | + | 1.24837i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.07313 | + | 5.32281i | 0.289095 | + | 0.500728i | 0.973594 | − | 0.228286i | \(-0.0733122\pi\) |
−0.684499 | + | 0.729014i | \(0.739979\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.56506 | 0.612195 | ||||||||
\(116\) | −5.51797 | − | 9.55741i | −0.512331 | − | 0.887383i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.671790 | −0.0618432 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 19.0012 | 1.72738 | ||||||||
\(122\) | −11.2546 | + | 19.4936i | −1.01895 | + | 1.76487i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.00325 | − | 3.46973i | −0.179897 | − | 0.311591i | ||||
\(125\) | −10.6428 | −0.951919 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.9305 | −1.23613 | −0.618065 | − | 0.786127i | \(-0.712083\pi\) | ||||
−0.618065 | + | 0.786127i | \(0.712083\pi\) | |||||||
\(128\) | −5.97551 | − | 10.3499i | −0.528165 | − | 0.914809i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 6.54905 | − | 11.3433i | 0.574389 | − | 0.994871i | ||||
\(131\) | −0.179156 | −0.0156529 | −0.00782645 | − | 0.999969i | \(-0.502491\pi\) | ||||
−0.00782645 | + | 0.999969i | \(0.502491\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −9.73486 | −0.840964 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.85913 | − | 6.68420i | −0.330917 | − | 0.573166i | ||||
\(137\) | −3.15206 | −0.269299 | −0.134649 | − | 0.990893i | \(-0.542991\pi\) | ||||
−0.134649 | + | 0.990893i | \(0.542991\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.42857 | − | 16.3308i | −0.799721 | − | 1.38516i | −0.919798 | − | 0.392392i | \(-0.871648\pi\) |
0.120077 | − | 0.992765i | \(-0.461686\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.14027 | + | 3.70706i | 0.179608 | + | 0.311090i | ||||
\(143\) | −12.9959 | − | 22.5096i | −1.08677 | − | 1.88235i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.55758 | + | 4.42986i | −0.212396 | + | 0.367880i | ||||
\(146\) | 11.4804 | − | 19.8846i | 0.950122 | − | 1.64566i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.62461 | − | 4.54595i | −0.215741 | − | 0.373675i | ||||
\(149\) | 21.2740 | 1.74284 | 0.871418 | − | 0.490541i | \(-0.163201\pi\) | ||||
0.871418 | + | 0.490541i | \(0.163201\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.36561 | 0.518026 | 0.259013 | − | 0.965874i | \(-0.416603\pi\) | ||||
0.259013 | + | 0.965874i | \(0.416603\pi\) | |||||||
\(152\) | −4.31163 | + | 7.46796i | −0.349719 | + | 0.605731i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.928506 | + | 1.60822i | −0.0745794 | + | 0.129175i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.697976 | − | 1.20893i | 0.0557045 | − | 0.0964830i | −0.836828 | − | 0.547465i | \(-0.815593\pi\) |
0.892533 | + | 0.450982i | \(0.148926\pi\) | |||||||
\(158\) | −9.81128 | + | 16.9936i | −0.780543 | + | 1.35194i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.77212 | + | 8.26556i | −0.377269 | + | 0.653450i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.53086 | − | 16.5079i | 0.746515 | − | 1.29300i | −0.202969 | − | 0.979185i | \(-0.565059\pi\) |
0.949484 | − | 0.313816i | \(-0.101608\pi\) | |||||||
\(164\) | 10.6612 | 0.832499 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −22.1123 | −1.71625 | ||||||||
\(167\) | 0.872003 | + | 1.51035i | 0.0674776 | + | 0.116875i | 0.897790 | − | 0.440423i | \(-0.145172\pi\) |
−0.830313 | + | 0.557298i | \(0.811838\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.75919 | + | 8.24317i | −0.366092 | + | 0.634090i | ||||
\(170\) | −6.64715 | + | 11.5132i | −0.509813 | + | 0.883022i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.54276 | − | 7.86828i | −0.346382 | − | 0.599951i | ||||
\(173\) | 5.03794 | + | 8.72598i | 0.383028 | + | 0.663424i | 0.991493 | − | 0.130157i | \(-0.0415480\pi\) |
−0.608466 | + | 0.793580i | \(0.708215\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 5.43669 | + | 9.41662i | 0.409806 | + | 0.709805i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −11.3071 | −0.847500 | ||||||||
\(179\) | −9.27118 | − | 16.0582i | −0.692961 | − | 1.20024i | −0.970863 | − | 0.239634i | \(-0.922973\pi\) |
0.277902 | − | 0.960609i | \(-0.410361\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.80982 | 0.654829 | 0.327414 | − | 0.944881i | \(-0.393823\pi\) | ||||
0.327414 | + | 0.944881i | \(0.393823\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −8.29494 | −0.611511 | ||||||||
\(185\) | −1.21651 | + | 2.10705i | −0.0894393 | + | 0.154913i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 13.1906 | + | 22.8468i | 0.964593 | + | 1.67072i | ||||
\(188\) | 8.63437 | 0.629726 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 14.8531 | 1.07756 | ||||||||
\(191\) | 2.45469 | + | 4.25165i | 0.177615 | + | 0.307639i | 0.941063 | − | 0.338231i | \(-0.109828\pi\) |
−0.763448 | + | 0.645869i | \(0.776495\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.88380 | − | 8.45899i | 0.351544 | − | 0.608892i | −0.634976 | − | 0.772531i | \(-0.718990\pi\) |
0.986520 | + | 0.163640i | \(0.0523235\pi\) | |||||||
\(194\) | 10.8172 | 0.776629 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3.31445 | −0.236145 | −0.118073 | − | 0.993005i | \(-0.537672\pi\) | ||||
−0.118073 | + | 0.993005i | \(0.537672\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.54432 | + | 9.60304i | 0.393026 | + | 0.680742i | 0.992847 | − | 0.119393i | \(-0.0380948\pi\) |
−0.599821 | + | 0.800134i | \(0.704761\pi\) | |||||||
\(200\) | 5.43472 | 0.384293 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.00580866 | + | 0.0100609i | 0.000408696 | + | 0.000707883i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.47073 | − | 4.27943i | −0.172563 | − | 0.298889i | ||||
\(206\) | −14.1839 | − | 24.5673i | −0.988240 | − | 1.71168i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.71014 | − | 8.15821i | 0.326590 | − | 0.565670i | ||||
\(209\) | 14.7373 | − | 25.5257i | 1.01940 | − | 1.76565i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.66118 | − | 6.34135i | −0.252046 | − | 0.436557i | 0.712043 | − | 0.702136i | \(-0.247770\pi\) |
−0.964089 | + | 0.265579i | \(0.914437\pi\) | |||||||
\(212\) | 19.5456 | 1.34240 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 20.5044 | 1.40165 | ||||||||
\(215\) | −2.10557 | + | 3.64695i | −0.143599 | + | 0.248720i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 18.3792 | − | 31.8337i | 1.24480 | − | 2.15605i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −9.50442 | + | 16.4621i | −0.640788 | + | 1.10988i | ||||
\(221\) | 11.4278 | − | 19.7936i | 0.768720 | − | 1.33146i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.02765 | + | 3.51199i | −0.135782 | + | 0.235181i | −0.925896 | − | 0.377779i | \(-0.876688\pi\) |
0.790114 | + | 0.612960i | \(0.210021\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.68808 | + | 11.5841i | −0.444884 | + | 0.770562i | ||||
\(227\) | 1.33417 | 0.0885522 | 0.0442761 | − | 0.999019i | \(-0.485902\pi\) | ||||
0.0442761 | + | 0.999019i | \(0.485902\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 15.9966 | 1.05709 | 0.528544 | − | 0.848906i | \(-0.322738\pi\) | ||||
0.528544 | + | 0.848906i | \(0.322738\pi\) | |||||||
\(230\) | 7.14381 | + | 12.3734i | 0.471049 | + | 0.815880i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.23150 | − | 5.59712i | 0.212158 | − | 0.367469i | ||||
\(233\) | 4.06542 | − | 7.04151i | 0.266334 | − | 0.461305i | −0.701578 | − | 0.712593i | \(-0.747521\pi\) |
0.967912 | + | 0.251288i | \(0.0808542\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.00102 | − | 3.46586i | −0.130532 | − | 0.226088i | ||||
\(236\) | −0.422329 | − | 0.731495i | −0.0274913 | − | 0.0476163i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −11.0509 | − | 19.1407i | −0.714823 | − | 1.23811i | −0.963028 | − | 0.269403i | \(-0.913174\pi\) |
0.248204 | − | 0.968708i | \(-0.420160\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −27.5947 | −1.77753 | −0.888765 | − | 0.458362i | \(-0.848436\pi\) | ||||
−0.888765 | + | 0.458362i | \(0.848436\pi\) | |||||||
\(242\) | 20.6762 | + | 35.8122i | 1.32912 | + | 2.30210i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −28.3015 | −1.81182 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −25.5356 | −1.62479 | ||||||||
\(248\) | 1.17317 | − | 2.03198i | 0.0744961 | − | 0.129031i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −11.5810 | − | 20.0589i | −0.732447 | − | 1.26863i | ||||
\(251\) | −16.5610 | −1.04532 | −0.522661 | − | 0.852541i | \(-0.675061\pi\) | ||||
−0.522661 | + | 0.852541i | \(0.675061\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 28.3524 | 1.78250 | ||||||||
\(254\) | −15.1585 | − | 26.2553i | −0.951130 | − | 1.64741i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.597516 | − | 1.03493i | 0.0373448 | − | 0.0646831i | ||||
\(257\) | 2.06573 | 0.128857 | 0.0644285 | − | 0.997922i | \(-0.479478\pi\) | ||||
0.0644285 | + | 0.997922i | \(0.479478\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 16.4686 | 1.02134 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.194949 | − | 0.337662i | −0.0120440 | − | 0.0208608i | ||||
\(263\) | −10.1296 | −0.624620 | −0.312310 | − | 0.949980i | \(-0.601103\pi\) | ||||
−0.312310 | + | 0.949980i | \(0.601103\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.52969 | − | 7.84565i | −0.278257 | − | 0.481954i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −6.11994 | − | 10.6000i | −0.373835 | − | 0.647501i | ||||
\(269\) | 7.54972 | + | 13.0765i | 0.460315 | + | 0.797289i | 0.998976 | − | 0.0452336i | \(-0.0144032\pi\) |
−0.538662 | + | 0.842522i | \(0.681070\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.4026 | + | 24.9459i | −0.874893 | + | 1.51536i | −0.0180156 | + | 0.999838i | \(0.505735\pi\) |
−0.856877 | + | 0.515521i | \(0.827598\pi\) | |||||||
\(272\) | −4.78070 | + | 8.28041i | −0.289872 | + | 0.502074i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.42993 | − | 5.94082i | −0.207210 | − | 0.358898i | ||||
\(275\) | −18.5760 | −1.12018 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.69963 | −0.162205 | −0.0811026 | − | 0.996706i | \(-0.525844\pi\) | ||||
−0.0811026 | + | 0.996706i | \(0.525844\pi\) | |||||||
\(278\) | 20.5195 | − | 35.5408i | 1.23068 | − | 2.13160i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.46312 | − | 4.26626i | 0.146938 | − | 0.254503i | −0.783157 | − | 0.621825i | \(-0.786392\pi\) |
0.930094 | + | 0.367321i | \(0.119725\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.79079 | − | 3.10173i | 0.106451 | − | 0.184379i | −0.807879 | − | 0.589348i | \(-0.799385\pi\) |
0.914330 | + | 0.404969i | \(0.132718\pi\) | |||||||
\(284\) | −2.69102 | + | 4.66098i | −0.159682 | + | 0.276578i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 28.2832 | − | 48.9879i | 1.67242 | − | 2.89672i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.09903 | + | 5.36768i | −0.182296 | + | 0.315746i | ||||
\(290\) | −11.1322 | −0.653704 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 28.8691 | 1.68944 | ||||||||
\(293\) | 12.1955 | + | 21.1232i | 0.712469 | + | 1.23403i | 0.963928 | + | 0.266164i | \(0.0857563\pi\) |
−0.251459 | + | 0.967868i | \(0.580910\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.195750 | + | 0.339048i | −0.0113970 | + | 0.0197401i | ||||
\(296\) | 1.53705 | − | 2.66225i | 0.0893394 | − | 0.154740i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 23.1494 | + | 40.0960i | 1.34101 | + | 2.32270i | ||||
\(299\) | −12.2817 | − | 21.2726i | −0.710270 | − | 1.23022i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 6.92678 | + | 11.9975i | 0.398591 | + | 0.690380i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 10.6825 | 0.612685 | ||||||||
\(305\) | 6.55887 | + | 11.3603i | 0.375560 | + | 0.650489i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 23.9025 | 1.36419 | 0.682094 | − | 0.731265i | \(-0.261070\pi\) | ||||
0.682094 | + | 0.731265i | \(0.261070\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.04143 | −0.229538 | ||||||||
\(311\) | 6.47082 | − | 11.2078i | 0.366926 | − | 0.635535i | −0.622157 | − | 0.782893i | \(-0.713743\pi\) |
0.989083 | + | 0.147357i | \(0.0470768\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.4340 | − | 23.2684i | −0.759336 | − | 1.31521i | −0.943189 | − | 0.332255i | \(-0.892190\pi\) |
0.183853 | − | 0.982954i | \(-0.441143\pi\) | |||||||
\(314\) | 3.03802 | 0.171446 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −24.6719 | −1.38790 | ||||||||
\(317\) | 4.15584 | + | 7.19813i | 0.233415 | + | 0.404287i | 0.958811 | − | 0.284045i | \(-0.0916765\pi\) |
−0.725396 | + | 0.688332i | \(0.758343\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.0454 | + | 19.1311i | −0.618422 | + | 1.07114i | ||||
\(320\) | −15.7357 | −0.879654 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 25.9182 | 1.44212 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.04680 | + | 13.9375i | 0.446356 | + | 0.773111i | ||||
\(326\) | 41.4842 | 2.29760 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.12177 | + | 5.40706i | 0.172371 | + | 0.298555i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.19889 | − | 10.7368i | −0.340722 | − | 0.590147i | 0.643845 | − | 0.765156i | \(-0.277338\pi\) |
−0.984567 | + | 0.175009i | \(0.944005\pi\) | |||||||
\(332\) | −13.9012 | − | 24.0775i | −0.762926 | − | 1.32143i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.89775 | + | 3.28700i | −0.103840 | + | 0.179857i | ||||
\(335\) | −2.83659 | + | 4.91312i | −0.154980 | + | 0.268433i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.9588 | − | 22.4454i | −0.705913 | − | 1.22268i | −0.966361 | − | 0.257189i | \(-0.917204\pi\) |
0.260448 | − | 0.965488i | \(-0.416130\pi\) | |||||||
\(338\) | −20.7150 | −1.12675 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −16.7152 | −0.906511 | ||||||||
\(341\) | −4.00992 | + | 6.94538i | −0.217149 | + | 0.376113i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 2.66038 | − | 4.60792i | 0.143438 | − | 0.248442i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −10.9641 | + | 18.9904i | −0.589435 | + | 1.02093i | ||||
\(347\) | −8.42415 | + | 14.5911i | −0.452232 | + | 0.783289i | −0.998524 | − | 0.0543058i | \(-0.982705\pi\) |
0.546292 | + | 0.837595i | \(0.316039\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.5503 | + | 26.9340i | −0.832390 | + | 1.44174i | 0.0637477 | + | 0.997966i | \(0.479695\pi\) |
−0.896138 | + | 0.443776i | \(0.853639\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −20.6092 | + | 35.6963i | −1.09848 | + | 1.90262i | ||||
\(353\) | 2.65938 | 0.141544 | 0.0707722 | − | 0.997493i | \(-0.477454\pi\) | ||||
0.0707722 | + | 0.997493i | \(0.477454\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.49457 | 0.132398 | ||||||||
\(356\) | −7.10833 | − | 12.3120i | −0.376741 | − | 0.652534i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 20.1770 | − | 34.9476i | 1.06639 | − | 1.84704i | ||||
\(359\) | −16.2715 | + | 28.1830i | −0.858775 | + | 1.48744i | 0.0143230 | + | 0.999897i | \(0.495441\pi\) |
−0.873098 | + | 0.487545i | \(0.837893\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.97859 | − | 8.62318i | −0.262031 | − | 0.453852i | ||||
\(362\) | 9.58646 | + | 16.6042i | 0.503853 | + | 0.872699i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.69042 | − | 11.5881i | −0.350192 | − | 0.606551i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −14.1536 | −0.738809 | −0.369405 | − | 0.929269i | \(-0.620438\pi\) | ||||
−0.369405 | + | 0.929269i | \(0.620438\pi\) | |||||||
\(368\) | 5.13790 | + | 8.89911i | 0.267832 | + | 0.463898i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.29499 | −0.275273 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.67628 | 0.138573 | 0.0692863 | − | 0.997597i | \(-0.477928\pi\) | ||||
0.0692863 | + | 0.997597i | \(0.477928\pi\) | |||||||
\(374\) | −28.7069 | + | 49.7217i | −1.48440 | + | 2.57105i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.52828 | + | 4.37911i | 0.130386 | + | 0.225835i | ||||
\(377\) | 19.1386 | 0.985687 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.312929 | −0.0160741 | −0.00803705 | − | 0.999968i | \(-0.502558\pi\) | ||||
−0.00803705 | + | 0.999968i | \(0.502558\pi\) | |||||||
\(380\) | 9.33759 | + | 16.1732i | 0.479008 | + | 0.829667i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.34218 | + | 9.25292i | −0.273330 | + | 0.473421i | ||||
\(383\) | −8.98880 | −0.459306 | −0.229653 | − | 0.973273i | \(-0.573759\pi\) | ||||
−0.229653 | + | 0.973273i | \(0.573759\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 21.2573 | 1.08197 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.80036 | + | 11.7786i | 0.345236 | + | 0.597966i | ||||
\(389\) | 26.9869 | 1.36829 | 0.684144 | − | 0.729347i | \(-0.260176\pi\) | ||||
0.684144 | + | 0.729347i | \(0.260176\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 12.4657 | + | 21.5912i | 0.630417 | + | 1.09191i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.60664 | − | 6.24689i | −0.181700 | − | 0.314714i | ||||
\(395\) | 5.71772 | + | 9.90339i | 0.287690 | + | 0.498293i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 14.7503 | − | 25.5482i | 0.740295 | − | 1.28223i | −0.212066 | − | 0.977255i | \(-0.568019\pi\) |
0.952361 | − | 0.304973i | \(-0.0986475\pi\) | |||||||
\(398\) | −12.0662 | + | 20.8992i | −0.604822 | + | 1.04758i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.36628 | − | 5.83056i | −0.168314 | − | 0.291528i | ||||
\(401\) | 34.2784 | 1.71178 | 0.855891 | − | 0.517156i | \(-0.173009\pi\) | ||||
0.855891 | + | 0.517156i | \(0.173009\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.94808 | 0.346109 | ||||||||
\(404\) | −0.00730338 | + | 0.0126498i | −0.000363357 | + | 0.000629352i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.25369 | + | 9.09966i | −0.260416 | + | 0.451054i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.49225 | − | 9.51286i | 0.271574 | − | 0.470381i | −0.697691 | − | 0.716399i | \(-0.745789\pi\) |
0.969265 | + | 0.246018i | \(0.0791224\pi\) | |||||||
\(410\) | 5.37708 | − | 9.31338i | 0.265555 | − | 0.459955i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 17.8338 | − | 30.8890i | 0.878608 | − | 1.52179i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.44320 | + | 11.1599i | −0.316284 | + | 0.547820i | ||||
\(416\) | 35.7102 | 1.75083 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 64.1458 | 3.13747 | ||||||||
\(419\) | −3.33207 | − | 5.77132i | −0.162782 | − | 0.281947i | 0.773083 | − | 0.634305i | \(-0.218714\pi\) |
−0.935866 | + | 0.352357i | \(0.885380\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −17.0430 | + | 29.5193i | −0.830625 | + | 1.43868i | 0.0669186 | + | 0.997758i | \(0.478683\pi\) |
−0.897543 | + | 0.440926i | \(0.854650\pi\) | |||||||
\(422\) | 7.96787 | − | 13.8008i | 0.387870 | − | 0.671810i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.72325 | + | 9.91297i | 0.277946 | + | 0.481416i | ||||
\(425\) | −8.16733 | − | 14.1462i | −0.396174 | − | 0.686193i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 12.8903 | + | 22.3267i | 0.623077 | + | 1.07920i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.16474 | −0.441963 | ||||||||
\(431\) | 1.12969 | + | 1.95669i | 0.0544155 | + | 0.0942504i | 0.891950 | − | 0.452134i | \(-0.149337\pi\) |
−0.837535 | + | 0.546384i | \(0.816004\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −34.3904 | −1.65270 | −0.826348 | − | 0.563160i | \(-0.809585\pi\) | ||||
−0.826348 | + | 0.563160i | \(0.809585\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 46.2173 | 2.21341 | ||||||||
\(437\) | 13.9274 | − | 24.1229i | 0.666236 | − | 1.15395i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.99569 | + | 5.18869i | 0.142977 | + | 0.247643i | 0.928616 | − | 0.371042i | \(-0.120999\pi\) |
−0.785640 | + | 0.618684i | \(0.787666\pi\) | |||||||
\(440\) | −11.1322 | −0.530706 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 49.7411 | 2.36594 | ||||||||
\(443\) | −19.7190 | − | 34.1543i | −0.936879 | − | 1.62272i | −0.771249 | − | 0.636534i | \(-0.780368\pi\) |
−0.165630 | − | 0.986188i | \(-0.552966\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.29471 | + | 5.70661i | −0.156184 | + | 0.270519i | ||||
\(446\) | −8.82560 | −0.417904 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −2.45092 | −0.115666 | −0.0578330 | − | 0.998326i | \(-0.518419\pi\) | ||||
−0.0578330 | + | 0.998326i | \(0.518419\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.6703 | − | 18.4815i | −0.502444 | − | 0.870259i | ||||
\(452\) | −16.8182 | −0.791060 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.45179 | + | 2.51457i | 0.0681358 | + | 0.118015i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.51058 | − | 9.54461i | −0.257774 | − | 0.446478i | 0.707871 | − | 0.706342i | \(-0.249656\pi\) |
−0.965645 | + | 0.259864i | \(0.916322\pi\) | |||||||
\(458\) | 17.4068 | + | 30.1495i | 0.813368 | + | 1.40879i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −8.98208 | + | 15.5574i | −0.418792 | + | 0.725369i | ||||
\(461\) | 14.6540 | − | 25.3814i | 0.682503 | − | 1.18213i | −0.291711 | − | 0.956506i | \(-0.594225\pi\) |
0.974215 | − | 0.225624i | \(-0.0724420\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.593566 | + | 1.02809i | 0.0275853 | + | 0.0477792i | 0.879489 | − | 0.475920i | \(-0.157885\pi\) |
−0.851903 | + | 0.523699i | \(0.824552\pi\) | |||||||
\(464\) | −8.00639 | −0.371687 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 17.6952 | 0.819715 | ||||||||
\(467\) | −11.0573 | + | 19.1519i | −0.511673 | + | 0.886243i | 0.488236 | + | 0.872712i | \(0.337641\pi\) |
−0.999908 | + | 0.0135313i | \(0.995693\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 4.35483 | − | 7.54280i | 0.200874 | − | 0.347923i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.247329 | − | 0.428387i | 0.0113842 | − | 0.0197181i | ||||
\(473\) | −9.09327 | + | 15.7500i | −0.418109 | + | 0.724186i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9.12499 | + | 15.8050i | −0.418683 | + | 0.725181i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 24.0502 | − | 41.6562i | 1.10003 | − | 1.90531i | ||||
\(479\) | −25.1428 | −1.14880 | −0.574402 | − | 0.818573i | \(-0.694766\pi\) | ||||
−0.574402 | + | 0.818573i | \(0.694766\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.10321 | 0.415071 | ||||||||
\(482\) | −30.0273 | − | 52.0088i | −1.36771 | − | 2.36894i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −25.9967 | + | 45.0276i | −1.18167 | + | 2.04671i | ||||
\(485\) | 3.15197 | − | 5.45937i | 0.143123 | − | 0.247897i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.78904 | − | 11.7590i | −0.307641 | − | 0.532849i | 0.670205 | − | 0.742176i | \(-0.266206\pi\) |
−0.977846 | + | 0.209327i | \(0.932873\pi\) | |||||||
\(488\) | −8.28713 | − | 14.3537i | −0.375141 | − | 0.649763i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −7.25177 | − | 12.5604i | −0.327268 | − | 0.566844i | 0.654701 | − | 0.755888i | \(-0.272795\pi\) |
−0.981969 | + | 0.189044i | \(0.939461\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −19.4253 | −0.874870 | ||||||||
\(494\) | −27.7868 | − | 48.1281i | −1.25019 | − | 2.16538i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.90664 | −0.130512 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 13.9915 | 0.626345 | 0.313172 | − | 0.949696i | \(-0.398608\pi\) | ||||
0.313172 | + | 0.949696i | \(0.398608\pi\) | |||||||
\(500\) | 14.5611 | − | 25.2205i | 0.651191 | − | 1.12790i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −18.0209 | − | 31.2132i | −0.804314 | − | 1.39311i | ||||
\(503\) | 28.4011 | 1.26634 | 0.633171 | − | 0.774012i | \(-0.281753\pi\) | ||||
0.633171 | + | 0.774012i | \(0.281753\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.00677023 | 0.000301271 | ||||||||
\(506\) | 30.8518 | + | 53.4369i | 1.37153 | + | 2.37556i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 19.0592 | − | 33.0115i | 0.845615 | − | 1.46465i | ||||
\(509\) | −3.45993 | −0.153359 | −0.0766794 | − | 0.997056i | \(-0.524432\pi\) | ||||
−0.0766794 | + | 0.997056i | \(0.524432\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −21.3013 | −0.941392 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.24784 | + | 3.89337i | 0.0991480 | + | 0.171729i | ||||
\(515\) | −16.5319 | −0.728484 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −8.64174 | − | 14.9679i | −0.380063 | − | 0.658289i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.82225 | + | 8.35239i | 0.211470 | + | 0.366276i | ||||
\(521\) | −3.56797 | − | 6.17991i | −0.156316 | − | 0.270747i | 0.777222 | − | 0.629227i | \(-0.216628\pi\) |
−0.933537 | + | 0.358480i | \(0.883295\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.53235 | + | 11.3144i | −0.285640 | + | 0.494743i | −0.972764 | − | 0.231797i | \(-0.925539\pi\) |
0.687124 | + | 0.726540i | \(0.258873\pi\) | |||||||
\(524\) | 0.245114 | − | 0.424551i | 0.0107079 | − | 0.0185466i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.0226 | − | 19.0917i | −0.480609 | − | 0.832439i | ||||
\(527\) | −7.05216 | −0.307197 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.79420 | 0.164965 | ||||||||
\(530\) | 9.85801 | − | 17.0746i | 0.428205 | − | 0.741672i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −9.24434 | + | 16.0117i | −0.400417 | + | 0.693542i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.97467 | − | 10.3484i | 0.258308 | − | 0.447402i | ||||
\(536\) | 3.58403 | − | 6.20772i | 0.154807 | − | 0.268133i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −16.4305 | + | 28.4585i | −0.708371 | + | 1.22693i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.46788 | + | 4.27450i | −0.106103 | + | 0.183775i | −0.914188 | − | 0.405290i | \(-0.867171\pi\) |
0.808086 | + | 0.589065i | \(0.200504\pi\) | |||||||
\(542\) | −62.6889 | −2.69272 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −36.2451 | −1.55399 | ||||||||
\(545\) | −10.7109 | − | 18.5518i | −0.458803 | − | 0.794670i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.559964 | − | 0.969887i | 0.0239423 | − | 0.0414694i | −0.853806 | − | 0.520591i | \(-0.825712\pi\) |
0.877748 | + | 0.479122i | \(0.159045\pi\) | |||||||
\(548\) | 4.31254 | − | 7.46954i | 0.184223 | − | 0.319083i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −20.2136 | − | 35.0110i | −0.861912 | − | 1.49288i | ||||
\(551\) | 10.8515 | + | 18.7953i | 0.462289 | + | 0.800708i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −2.93762 | − | 5.08811i | −0.124808 | − | 0.216173i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 51.5993 | 2.18830 | ||||||||
\(557\) | −5.47832 | − | 9.48873i | −0.232124 | − | 0.402050i | 0.726309 | − | 0.687368i | \(-0.241234\pi\) |
−0.958433 | + | 0.285318i | \(0.907901\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 15.7561 | 0.666413 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 10.7210 | 0.452240 | ||||||||
\(563\) | 2.38048 | − | 4.12311i | 0.100325 | − | 0.173768i | −0.811493 | − | 0.584361i | \(-0.801345\pi\) |
0.911819 | + | 0.410593i | \(0.134678\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.89761 | + | 6.75087i | 0.163974 | + | 0.284011i | ||||
\(566\) | 7.79462 | 0.327632 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.15189 | −0.132250 | ||||||||
\(569\) | 1.74988 | + | 3.03088i | 0.0733588 | + | 0.127061i | 0.900371 | − | 0.435122i | \(-0.143295\pi\) |
−0.827013 | + | 0.562183i | \(0.809962\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.53051 | + | 6.11501i | −0.147747 | + | 0.255905i | −0.930394 | − | 0.366560i | \(-0.880535\pi\) |
0.782647 | + | 0.622465i | \(0.213869\pi\) | |||||||
\(572\) | 71.1223 | 2.97377 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −17.5552 | −0.732101 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.44149 | + | 11.1570i | 0.268163 | + | 0.464472i | 0.968387 | − | 0.249451i | \(-0.0802502\pi\) |
−0.700225 | + | 0.713923i | \(0.746917\pi\) | |||||||
\(578\) | −13.4889 | −0.561064 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −6.99838 | − | 12.1216i | −0.290592 | − | 0.503320i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −19.5623 | − | 33.8828i | −0.810186 | − | 1.40328i | ||||
\(584\) | 8.45333 | + | 14.6416i | 0.349801 | + | 0.605874i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −26.5412 | + | 45.9707i | −1.09641 | + | 1.89903i | ||||
\(587\) | −19.5044 | + | 33.7826i | −0.805034 | + | 1.39436i | 0.111235 | + | 0.993794i | \(0.464519\pi\) |
−0.916268 | + | 0.400565i | \(0.868814\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.93953 | + | 6.82347i | 0.162326 | + | 0.281156i | ||||
\(590\) | −0.852024 | −0.0350773 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.80821 | −0.156517 | ||||||||
\(593\) | −20.1513 | + | 34.9031i | −0.827515 | + | 1.43330i | 0.0724676 | + | 0.997371i | \(0.476913\pi\) |
−0.899982 | + | 0.435927i | \(0.856421\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −29.1064 | + | 50.4137i | −1.19224 | + | 2.06503i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 26.7288 | − | 46.2957i | 1.09302 | − | 1.89317i | ||||
\(599\) | −6.39103 | + | 11.0696i | −0.261130 | + | 0.452291i | −0.966543 | − | 0.256506i | \(-0.917429\pi\) |
0.705412 | + | 0.708797i | \(0.250762\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.86311 | − | 8.42316i | 0.198371 | − | 0.343588i | −0.749630 | − | 0.661858i | \(-0.769768\pi\) |
0.948000 | + | 0.318270i | \(0.103102\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.70921 | + | 15.0848i | −0.354373 | + | 0.613792i | ||||
\(605\) | 24.0990 | 0.979762 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −41.4873 | −1.68392 | −0.841959 | − | 0.539541i | \(-0.818598\pi\) | ||||
−0.841959 | + | 0.539541i | \(0.818598\pi\) | |||||||
\(608\) | 20.2475 | + | 35.0697i | 0.821145 | + | 1.42226i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −14.2742 | + | 24.7236i | −0.577943 | + | 1.00103i | ||||
\(611\) | −7.48688 | + | 12.9677i | −0.302887 | + | 0.524615i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −7.64783 | − | 13.2464i | −0.308893 | − | 0.535018i | 0.669228 | − | 0.743057i | \(-0.266625\pi\) |
−0.978120 | + | 0.208039i | \(0.933292\pi\) | |||||||
\(614\) | 26.0096 | + | 45.0500i | 1.04966 | + | 1.81807i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 2.66563 | + | 4.61700i | 0.107314 | + | 0.185873i | 0.914681 | − | 0.404176i | \(-0.132442\pi\) |
−0.807367 | + | 0.590049i | \(0.799108\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 12.6841 | 0.509817 | 0.254908 | − | 0.966965i | \(-0.417955\pi\) | ||||
0.254908 | + | 0.966965i | \(0.417955\pi\) | |||||||
\(620\) | −2.54070 | − | 4.40062i | −0.102037 | − | 0.176733i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 28.1650 | 1.12931 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.45909 | 0.138363 | ||||||||
\(626\) | 29.2366 | − | 50.6393i | 1.16853 | − | 2.02395i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.90989 | + | 3.30803i | 0.0762129 | + | 0.132005i | ||||
\(629\) | −9.23957 | −0.368406 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.123764 | 0.00492698 | 0.00246349 | − | 0.999997i | \(-0.499216\pi\) | ||||
0.00246349 | + | 0.999997i | \(0.499216\pi\) | |||||||
\(632\) | −7.22433 | − | 12.5129i | −0.287369 | − | 0.497737i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −9.04441 | + | 15.6654i | −0.359199 | + | 0.622151i | ||||
\(635\) | −17.6679 | −0.701128 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −48.0763 | −1.90336 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −7.57868 | − | 13.1267i | −0.299573 | − | 0.518876i | ||||
\(641\) | −5.93177 | −0.234291 | −0.117145 | − | 0.993115i | \(-0.537374\pi\) | ||||
−0.117145 | + | 0.993115i | \(0.537374\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 23.4140 | + | 40.5542i | 0.923358 | + | 1.59930i | 0.794180 | + | 0.607682i | \(0.207900\pi\) |
0.129178 | + | 0.991621i | \(0.458766\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 28.2030 | + | 48.8490i | 1.10963 | + | 1.92194i | ||||
\(647\) | 19.5701 | + | 33.8964i | 0.769379 | + | 1.33260i | 0.937900 | + | 0.346905i | \(0.112767\pi\) |
−0.168521 | + | 0.985698i | \(0.553899\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.845379 | + | 1.46424i | −0.0331840 | + | 0.0574764i | ||||
\(650\) | −17.5123 | + | 30.3322i | −0.686890 | + | 1.18973i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 26.0796 | + | 45.1711i | 1.02135 | + | 1.76904i | ||||
\(653\) | −43.3281 | −1.69556 | −0.847779 | − | 0.530350i | \(-0.822061\pi\) | ||||
−0.847779 | + | 0.530350i | \(0.822061\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.227221 | −0.00887827 | ||||||||
\(656\) | 3.86726 | − | 6.69828i | 0.150991 | − | 0.261524i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −3.43895 | + | 5.95643i | −0.133962 | + | 0.232030i | −0.925201 | − | 0.379478i | \(-0.876103\pi\) |
0.791238 | + | 0.611508i | \(0.209437\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 19.3835 | − | 33.5733i | 0.753932 | − | 1.30585i | −0.191971 | − | 0.981401i | \(-0.561488\pi\) |
0.945903 | − | 0.324449i | \(-0.105179\pi\) | |||||||
\(662\) | 13.4907 | − | 23.3666i | 0.524331 | − | 0.908168i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 8.14097 | − | 14.1006i | 0.315931 | − | 0.547209i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.4383 | + | 18.0797i | −0.404174 | + | 0.700050i | ||||
\(668\) | −4.77217 | −0.184641 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −12.3466 | −0.476991 | ||||||||
\(671\) | 28.3257 | + | 49.0615i | 1.09350 | + | 1.89400i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.9897 | − | 31.1591i | 0.693452 | − | 1.20109i | −0.277248 | − | 0.960798i | \(-0.589422\pi\) |
0.970700 | − | 0.240295i | \(-0.0772443\pi\) | |||||||
\(674\) | 28.2025 | − | 48.8481i | 1.08632 | − | 1.88156i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −13.0227 | − | 22.5560i | −0.500874 | − | 0.867539i | ||||
\(677\) | −2.23329 | − | 3.86817i | −0.0858322 | − | 0.148666i | 0.819913 | − | 0.572488i | \(-0.194022\pi\) |
−0.905746 | + | 0.423822i | \(0.860688\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −4.89449 | − | 8.47750i | −0.187695 | − | 0.325097i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −17.4536 | −0.668335 | ||||||||
\(683\) | −13.3356 | − | 23.0980i | −0.510274 | − | 0.883821i | −0.999929 | − | 0.0119046i | \(-0.996211\pi\) |
0.489655 | − | 0.871916i | \(-0.337123\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.99773 | −0.152745 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −6.59138 | −0.251294 | ||||||||
\(689\) | −16.9480 | + | 29.3548i | −0.645668 | + | 1.11833i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −20.5220 | − | 35.5452i | −0.780694 | − | 1.35220i | −0.931538 | − | 0.363644i | \(-0.881532\pi\) |
0.150844 | − | 0.988558i | \(-0.451801\pi\) | |||||||
\(692\) | −27.5709 | −1.04809 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −36.6671 | −1.39187 | ||||||||
\(695\) | −11.9582 | − | 20.7121i | −0.453599 | − | 0.785656i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.38281 | − | 16.2515i | 0.355399 | − | 0.615570i | ||||
\(698\) | −67.6847 | −2.56190 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −9.63355 | −0.363854 | −0.181927 | − | 0.983312i | \(-0.558233\pi\) | ||||
−0.181927 | + | 0.983312i | \(0.558233\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.16148 | + | 8.93994i | 0.194669 | + | 0.337176i | ||||
\(704\) | −67.9575 | −2.56125 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.89382 | + | 5.01224i | 0.108910 | + | 0.188638i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.07131 | + | 8.78376i | 0.190457 | + | 0.329881i | 0.945402 | − | 0.325907i | \(-0.105670\pi\) |
−0.754945 | + | 0.655788i | \(0.772336\pi\) | |||||||
\(710\) | 2.71448 | + | 4.70162i | 0.101873 | + | 0.176449i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 4.16286 | − | 7.21029i | 0.156010 | − | 0.270217i | ||||
\(713\) | −3.78954 | + | 6.56368i | −0.141919 | + | 0.245812i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −16.4826 | − | 28.5487i | −0.616415 | − | 1.06766i | ||||
\(716\) | 50.7380 | 1.89617 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −70.8235 | −2.64311 | ||||||||
\(719\) | 20.6844 | − | 35.8264i | 0.771397 | − | 1.33610i | −0.165400 | − | 0.986227i | \(-0.552891\pi\) |
0.936797 | − | 0.349873i | \(-0.113775\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 10.8350 | − | 18.7667i | 0.403236 | − | 0.698425i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −12.0533 | + | 20.8769i | −0.447957 | + | 0.775884i | ||||
\(725\) | 6.83904 | − | 11.8456i | 0.253996 | − | 0.439934i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.86372 | − | 8.42422i | 0.180386 | − | 0.312437i | −0.761626 | − | 0.648016i | \(-0.775599\pi\) |
0.942012 | + | 0.335580i | \(0.108932\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 14.5604 | − | 25.2194i | 0.538906 | − | 0.933412i | ||||
\(731\) | −15.9921 | −0.591491 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −28.9108 | −1.06784 | −0.533922 | − | 0.845534i | \(-0.679282\pi\) | ||||
−0.533922 | + | 0.845534i | \(0.679282\pi\) | |||||||
\(734\) | −15.4013 | − | 26.6758i | −0.568471 | − | 0.984621i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −19.4766 | + | 33.7345i | −0.717918 | + | 1.24347i | ||||
\(737\) | −12.2503 | + | 21.2182i | −0.451247 | + | 0.781582i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.67467 | + | 11.5609i | 0.245532 | + | 0.425273i | 0.962281 | − | 0.272058i | \(-0.0877041\pi\) |
−0.716749 | + | 0.697331i | \(0.754371\pi\) | |||||||
\(740\) | −3.32876 | − | 5.76558i | −0.122368 | − | 0.211947i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −19.9100 | − | 34.4851i | −0.730425 | − | 1.26513i | −0.956702 | − | 0.291071i | \(-0.905988\pi\) |
0.226276 | − | 0.974063i | \(-0.427345\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 26.9816 | 0.988530 | ||||||||
\(746\) | 2.91221 | + | 5.04410i | 0.106624 | + | 0.184678i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −72.1877 | −2.63944 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −38.4345 | −1.40250 | −0.701248 | − | 0.712917i | \(-0.747374\pi\) | ||||
−0.701248 | + | 0.712917i | \(0.747374\pi\) | |||||||
\(752\) | 3.13204 | − | 5.42486i | 0.114214 | − | 0.197824i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 20.8258 | + | 36.0713i | 0.758429 | + | 1.31364i | ||||
\(755\) | 8.07344 | 0.293823 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.66698 | −0.205970 | −0.102985 | − | 0.994683i | \(-0.532839\pi\) | ||||
−0.102985 | + | 0.994683i | \(0.532839\pi\) | |||||||
\(758\) | −0.340516 | − | 0.589791i | −0.0123681 | − | 0.0214222i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.46839 | + | 9.47153i | −0.198359 | + | 0.343569i | ||||
\(761\) | 52.3321 | 1.89704 | 0.948519 | − | 0.316719i | \(-0.102581\pi\) | ||||
0.948519 | + | 0.316719i | \(0.102581\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −13.4337 | −0.486014 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −9.78121 | − | 16.9416i | −0.353410 | − | 0.612123i | ||||
\(767\) | 1.46481 | 0.0528912 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.17360 | − | 2.03274i | −0.0423212 | − | 0.0733025i | 0.844089 | − | 0.536203i | \(-0.180142\pi\) |
−0.886410 | + | 0.462901i | \(0.846809\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 13.3637 | + | 23.1466i | 0.480970 | + | 0.833064i | ||||
\(773\) | −18.1814 | − | 31.4912i | −0.653941 | − | 1.13266i | −0.982158 | − | 0.188057i | \(-0.939781\pi\) |
0.328217 | − | 0.944602i | \(-0.393552\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.48285 | − | 4.30042i | 0.0891866 | − | 0.154476i | ||||
\(776\) | −3.98251 | + | 6.89790i | −0.142964 | + | 0.247620i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 29.3659 | + | 50.8633i | 1.05282 | + | 1.82354i | ||||
\(779\) | −20.9660 | −0.751185 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.7733 | 0.385497 | ||||||||
\(782\) | −27.1292 | + | 46.9892i | −0.970139 | + | 1.68033i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.885235 | − | 1.53327i | 0.0315954 | − | 0.0547248i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −15.8846 | + | 27.5129i | −0.566224 | + | 0.980729i | 0.430711 | + | 0.902490i | \(0.358263\pi\) |
−0.996935 | + | 0.0782386i | \(0.975070\pi\) | |||||||
\(788\) | 4.53472 | − | 7.85437i | 0.161543 | − | 0.279800i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −12.4435 | + | 21.5528i | −0.442721 | + | 0.766816i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 24.5403 | − | 42.5050i | 0.871451 | − | 1.50940i | ||||
\(794\) | 64.2024 | 2.27846 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −30.3422 | −1.07545 |