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: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
Defining polynomial: | \(x^{12} - 7 x^{10} + 37 x^{8} - 78 x^{6} + 123 x^{4} - 36 x^{2} + 9\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{5} \) |
Twist minimal: | no (minimal twist has level 441) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 361.2 | ||
Root | \(-0.474636 + 0.274031i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1323.361 |
Dual form | 1323.2.g.g.667.2 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1323\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.849814 | + | 1.47192i | −0.600909 | + | 1.04081i | 0.391774 | + | 0.920061i | \(0.371861\pi\) |
−0.992684 | + | 0.120744i | \(0.961472\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.444368 | − | 0.769668i | −0.222184 | − | 0.384834i | ||||
\(5\) | 0.949271 | 0.424527 | 0.212263 | − | 0.977212i | \(-0.431916\pi\) | ||||
0.212263 | + | 0.977212i | \(0.431916\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.88874 | −0.667769 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.806704 | + | 1.39725i | −0.255102 | + | 0.441850i | ||||
\(11\) | 0.588364 | 0.177398 | 0.0886992 | − | 0.996058i | \(-0.471729\pi\) | ||||
0.0886992 | + | 0.996058i | \(0.471729\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.50987 | − | 4.34722i | 0.696112 | − | 1.20570i | −0.273692 | − | 0.961817i | \(-0.588245\pi\) |
0.969804 | − | 0.243885i | \(-0.0784218\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.49381 | − | 4.31941i | 0.623453 | − | 1.07985i | ||||
\(17\) | −3.79121 | + | 6.56657i | −0.919503 | + | 1.59263i | −0.119332 | + | 0.992854i | \(0.538075\pi\) |
−0.800171 | + | 0.599772i | \(0.795258\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.23061 | + | 3.86353i | 0.511737 | + | 0.886355i | 0.999907 | + | 0.0136063i | \(0.00433116\pi\) |
−0.488170 | + | 0.872748i | \(0.662336\pi\) | |||||||
\(20\) | −0.421826 | − | 0.730623i | −0.0943231 | − | 0.163372i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.500000 | + | 0.866025i | −0.106600 | + | 0.184637i | ||||
\(23\) | −2.47710 | −0.516511 | −0.258256 | − | 0.966077i | \(-0.583148\pi\) | ||||
−0.258256 | + | 0.966077i | \(0.583148\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.09888 | −0.819777 | ||||||||
\(26\) | 4.26584 | + | 7.38866i | 0.836601 | + | 1.44904i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.73855 | + | 4.74331i | 0.508536 | + | 0.880810i | 0.999951 | + | 0.00988468i | \(0.00314644\pi\) |
−0.491415 | + | 0.870925i | \(0.663520\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.03731 | + | 5.26078i | 0.545518 | + | 0.944865i | 0.998574 | + | 0.0533826i | \(0.0170003\pi\) |
−0.453056 | + | 0.891482i | \(0.649666\pi\) | |||||||
\(32\) | 2.34981 | + | 4.07000i | 0.415392 | + | 0.719481i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.44364 | − | 11.1607i | −1.10508 | − | 1.91405i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.49381 | + | 6.05146i | 0.574379 | + | 0.994853i | 0.996109 | + | 0.0881319i | \(0.0280897\pi\) |
−0.421730 | + | 0.906721i | \(0.638577\pi\) | |||||||
\(38\) | −7.58242 | −1.23003 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.79292 | −0.283486 | ||||||||
\(41\) | −0.527445 | + | 0.913562i | −0.0823731 | + | 0.142674i | −0.904269 | − | 0.426964i | \(-0.859583\pi\) |
0.821896 | + | 0.569638i | \(0.192917\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.49381 | − | 6.05146i | −0.532801 | − | 0.922838i | −0.999266 | − | 0.0382990i | \(-0.987806\pi\) |
0.466465 | − | 0.884540i | \(-0.345527\pi\) | |||||||
\(44\) | −0.261450 | − | 0.452845i | −0.0394151 | − | 0.0682689i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.10507 | − | 3.64610i | 0.310376 | − | 0.537587i | ||||
\(47\) | −3.73840 | + | 6.47510i | −0.545301 | + | 0.944490i | 0.453286 | + | 0.891365i | \(0.350251\pi\) |
−0.998588 | + | 0.0531249i | \(0.983082\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 3.48329 | − | 6.03323i | 0.492612 | − | 0.853228i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.46122 | −0.618660 | ||||||||
\(53\) | 3.46108 | − | 5.99476i | 0.475416 | − | 0.823444i | −0.524188 | − | 0.851603i | \(-0.675631\pi\) |
0.999603 | + | 0.0281586i | \(0.00896435\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.558517 | 0.0753104 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −9.30903 | −1.22234 | ||||||||
\(59\) | 5.21512 | + | 9.03284i | 0.678950 | + | 1.17598i | 0.975297 | + | 0.220896i | \(0.0708981\pi\) |
−0.296347 | + | 0.955080i | \(0.595769\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.82644 | + | 10.0917i | −0.745999 | + | 1.29211i | 0.203727 | + | 0.979028i | \(0.434695\pi\) |
−0.949726 | + | 0.313081i | \(0.898639\pi\) | |||||||
\(62\) | −10.3246 | −1.31123 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.98762 | 0.248453 | ||||||||
\(65\) | 2.38255 | − | 4.12669i | 0.295518 | − | 0.511853i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.93199 | + | 10.2745i | 0.724708 | + | 1.25523i | 0.959094 | + | 0.283087i | \(0.0913585\pi\) |
−0.234387 | + | 0.972143i | \(0.575308\pi\) | |||||||
\(68\) | 6.73877 | 0.817195 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.30037 | −0.510360 | −0.255180 | − | 0.966894i | \(-0.582135\pi\) | ||||
−0.255180 | + | 0.966894i | \(0.582135\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.23061 | + | 3.86353i | −0.261073 | + | 0.452192i | −0.966527 | − | 0.256563i | \(-0.917410\pi\) |
0.705454 | + | 0.708756i | \(0.250743\pi\) | |||||||
\(74\) | −11.8764 | −1.38060 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.98242 | − | 3.43366i | 0.227400 | − | 0.393868i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.666896 | − | 1.15510i | 0.0750317 | − | 0.129959i | −0.826068 | − | 0.563570i | \(-0.809428\pi\) |
0.901100 | + | 0.433611i | \(0.142761\pi\) | |||||||
\(80\) | 2.36730 | − | 4.10029i | 0.264672 | − | 0.458426i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.896461 | − | 1.55272i | −0.0989976 | − | 0.171469i | ||||
\(83\) | −2.84194 | − | 4.92238i | −0.311943 | − | 0.540301i | 0.666840 | − | 0.745201i | \(-0.267647\pi\) |
−0.978783 | + | 0.204900i | \(0.934313\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.59888 | + | 6.23345i | −0.390354 | + | 0.676113i | ||||
\(86\) | 11.8764 | 1.28066 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.11126 | −0.118461 | ||||||||
\(89\) | 0.421826 | + | 0.730623i | 0.0447134 | + | 0.0774459i | 0.887516 | − | 0.460777i | \(-0.152429\pi\) |
−0.842803 | + | 0.538223i | \(0.819096\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 1.10074 | + | 1.90654i | 0.114760 | + | 0.198771i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.35389 | − | 11.0053i | −0.655353 | − | 1.13511i | ||||
\(95\) | 2.11745 | + | 3.66754i | 0.217246 | + | 0.376281i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.70317 | + | 2.94997i | 0.172930 | + | 0.299524i | 0.939443 | − | 0.342705i | \(-0.111343\pi\) |
−0.766513 | + | 0.642229i | \(0.778010\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.82141 | + | 3.15478i | 0.182141 | + | 0.315478i | ||||
\(101\) | 9.58658 | 0.953900 | 0.476950 | − | 0.878930i | \(-0.341742\pi\) | ||||
0.476950 | + | 0.878930i | \(0.341742\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.6529 | −1.14819 | −0.574096 | − | 0.818788i | \(-0.694647\pi\) | ||||
−0.574096 | + | 0.818788i | \(0.694647\pi\) | |||||||
\(104\) | −4.74048 | + | 8.21075i | −0.464842 | + | 0.805130i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.88255 | + | 10.1889i | 0.571363 | + | 0.989630i | ||||
\(107\) | −1.89926 | − | 3.28961i | −0.183608 | − | 0.318018i | 0.759499 | − | 0.650509i | \(-0.225444\pi\) |
−0.943107 | + | 0.332491i | \(0.892111\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.43199 | − | 11.1405i | 0.616073 | − | 1.06707i | −0.374123 | − | 0.927379i | \(-0.622056\pi\) |
0.990195 | − | 0.139690i | \(-0.0446106\pi\) | |||||||
\(110\) | −0.474636 | + | 0.822093i | −0.0452547 | + | 0.0783835i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.51052 | − | 7.81245i | 0.424314 | − | 0.734934i | −0.572042 | − | 0.820224i | \(-0.693849\pi\) |
0.996356 | + | 0.0852908i | \(0.0271819\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.35144 | −0.219273 | ||||||||
\(116\) | 2.43385 | − | 4.21555i | 0.225977 | − | 0.391404i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −17.7275 | −1.63195 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.6538 | −0.968530 | ||||||||
\(122\) | −9.90278 | − | 17.1521i | −0.896556 | − | 1.55288i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.69937 | − | 4.67545i | 0.242411 | − | 0.419867i | ||||
\(125\) | −8.63731 | −0.772544 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.43268 | 0.570808 | 0.285404 | − | 0.958407i | \(-0.407872\pi\) | ||||
0.285404 | + | 0.958407i | \(0.407872\pi\) | |||||||
\(128\) | −6.38874 | + | 11.0656i | −0.564690 | + | 0.978071i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.04944 | + | 7.01384i | 0.355160 | + | 0.615154i | ||||
\(131\) | −6.63315 | −0.579541 | −0.289770 | − | 0.957096i | \(-0.593579\pi\) | ||||
−0.289770 | + | 0.957096i | \(0.593579\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −20.1643 | −1.74193 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 7.16059 | − | 12.4025i | 0.614016 | − | 1.06351i | ||||
\(137\) | −14.0334 | −1.19896 | −0.599478 | − | 0.800391i | \(-0.704625\pi\) | ||||
−0.599478 | + | 0.800391i | \(0.704625\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.40254 | + | 7.62541i | −0.373418 | + | 0.646779i | −0.990089 | − | 0.140442i | \(-0.955148\pi\) |
0.616671 | + | 0.787221i | \(0.288481\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.65452 | − | 6.32981i | 0.306680 | − | 0.531186i | ||||
\(143\) | 1.47672 | − | 2.55775i | 0.123489 | − | 0.213890i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.59963 | + | 4.50268i | 0.215887 | + | 0.373928i | ||||
\(146\) | −3.79121 | − | 6.56657i | −0.313763 | − | 0.543453i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.10507 | − | 5.37815i | 0.255236 | − | 0.442081i | ||||
\(149\) | 4.36584 | 0.357663 | 0.178832 | − | 0.983880i | \(-0.442768\pi\) | ||||
0.178832 | + | 0.983880i | \(0.442768\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.6538 | −1.02975 | −0.514877 | − | 0.857264i | \(-0.672162\pi\) | ||||
−0.514877 | + | 0.857264i | \(0.672162\pi\) | |||||||
\(152\) | −4.21303 | − | 7.29719i | −0.341722 | − | 0.591880i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.88323 | + | 4.99391i | 0.231587 | + | 0.401120i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.63694 | − | 9.76347i | −0.449877 | − | 0.779210i | 0.548501 | − | 0.836150i | \(-0.315199\pi\) |
−0.998378 | + | 0.0569405i | \(0.981865\pi\) | |||||||
\(158\) | 1.13348 | + | 1.96324i | 0.0901745 | + | 0.156187i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.23061 | + | 3.86353i | 0.176345 | + | 0.305439i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.833104 | + | 1.44298i | 0.0652537 | + | 0.113023i | 0.896807 | − | 0.442423i | \(-0.145881\pi\) |
−0.831553 | + | 0.555446i | \(0.812548\pi\) | |||||||
\(164\) | 0.937519 | 0.0732080 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.66047 | 0.749798 | ||||||||
\(167\) | 1.95135 | − | 3.37984i | 0.151000 | − | 0.261540i | −0.780595 | − | 0.625037i | \(-0.785084\pi\) |
0.931595 | + | 0.363497i | \(0.118417\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.09888 | − | 10.5636i | −0.469145 | − | 0.812583i | ||||
\(170\) | −6.11677 | − | 10.5945i | −0.469134 | − | 0.812565i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.10507 | + | 5.37815i | −0.236760 | + | 0.410080i | ||||
\(173\) | 8.05705 | − | 13.9552i | 0.612566 | − | 1.06100i | −0.378240 | − | 0.925708i | \(-0.623471\pi\) |
0.990806 | − | 0.135288i | \(-0.0431961\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.46727 | − | 2.54138i | 0.110599 | − | 0.191564i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.43389 | −0.107475 | ||||||||
\(179\) | 7.14400 | − | 12.3738i | 0.533967 | − | 0.924859i | −0.465245 | − | 0.885182i | \(-0.654034\pi\) |
0.999213 | − | 0.0396767i | \(-0.0126328\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.8873 | 0.957905 | 0.478952 | − | 0.877841i | \(-0.341017\pi\) | ||||
0.478952 | + | 0.877841i | \(0.341017\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.67859 | 0.344910 | ||||||||
\(185\) | 3.31657 | + | 5.74447i | 0.243839 | + | 0.422342i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.23061 | + | 3.86353i | −0.163118 | + | 0.282529i | ||||
\(188\) | 6.64490 | 0.484629 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.19777 | −0.522181 | ||||||||
\(191\) | −1.08217 | + | 1.87438i | −0.0783034 | + | 0.135625i | −0.902518 | − | 0.430652i | \(-0.858284\pi\) |
0.824215 | + | 0.566277i | \(0.191617\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.21565 | − | 9.03377i | −0.375431 | − | 0.650265i | 0.614961 | − | 0.788558i | \(-0.289172\pi\) |
−0.990391 | + | 0.138293i | \(0.955839\pi\) | |||||||
\(194\) | −5.78949 | −0.415661 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 18.7848 | 1.33836 | 0.669179 | − | 0.743101i | \(-0.266646\pi\) | ||||
0.669179 | + | 0.743101i | \(0.266646\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.21303 | + | 7.29719i | −0.298654 | + | 0.517284i | −0.975828 | − | 0.218539i | \(-0.929871\pi\) |
0.677174 | + | 0.735823i | \(0.263204\pi\) | |||||||
\(200\) | 7.74171 | 0.547422 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.14681 | + | 14.1107i | −0.573208 | + | 0.992825i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.500689 | + | 0.867218i | −0.0349696 | + | 0.0605692i | ||||
\(206\) | 9.90278 | − | 17.1521i | 0.689960 | − | 1.19505i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −12.5183 | − | 21.6823i | −0.867986 | − | 1.50340i | ||||
\(209\) | 1.31241 | + | 2.27316i | 0.0907814 | + | 0.157238i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.61126 | + | 9.71899i | −0.386295 | + | 0.669083i | −0.991948 | − | 0.126646i | \(-0.959579\pi\) |
0.605653 | + | 0.795729i | \(0.292912\pi\) | |||||||
\(212\) | −6.15197 | −0.422519 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 6.45606 | 0.441327 | ||||||||
\(215\) | −3.31657 | − | 5.74447i | −0.226188 | − | 0.391770i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 10.9320 | + | 18.9348i | 0.740408 | + | 1.28242i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.248187 | − | 0.429872i | −0.0167328 | − | 0.0289820i | ||||
\(221\) | 19.0309 | + | 32.9624i | 1.28016 | + | 2.21729i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.3774 | + | 17.9742i | 0.694923 | + | 1.20364i | 0.970206 | + | 0.242279i | \(0.0778951\pi\) |
−0.275283 | + | 0.961363i | \(0.588772\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.66621 | + | 13.2783i | 0.509949 | + | 0.883257i | ||||
\(227\) | 10.4302 | 0.692279 | 0.346139 | − | 0.938183i | \(-0.387492\pi\) | ||||
0.346139 | + | 0.938183i | \(0.387492\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 15.0592 | 0.995141 | 0.497570 | − | 0.867424i | \(-0.334226\pi\) | ||||
0.497570 | + | 0.867424i | \(0.334226\pi\) | |||||||
\(230\) | 1.99829 | − | 3.46113i | 0.131763 | − | 0.228220i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.17240 | − | 8.95886i | −0.339585 | − | 0.588178i | ||||
\(233\) | 2.19344 | + | 3.79915i | 0.143697 | + | 0.248890i | 0.928886 | − | 0.370366i | \(-0.120768\pi\) |
−0.785189 | + | 0.619256i | \(0.787434\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.54875 | + | 6.14662i | −0.231495 | + | 0.400961i | ||||
\(236\) | 4.63486 | − | 8.02781i | 0.301704 | − | 0.522566i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −4.77561 | + | 8.27160i | −0.308909 | + | 0.535046i | −0.978124 | − | 0.208023i | \(-0.933297\pi\) |
0.669215 | + | 0.743069i | \(0.266630\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.5358 | 0.678674 | 0.339337 | − | 0.940665i | \(-0.389797\pi\) | ||||
0.339337 | + | 0.940665i | \(0.389797\pi\) | |||||||
\(242\) | 9.05377 | − | 15.6816i | 0.581999 | − | 1.00805i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 10.3563 | 0.662996 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 22.3942 | 1.42491 | ||||||||
\(248\) | −5.73668 | − | 9.93623i | −0.364280 | − | 0.630951i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 7.34011 | − | 12.7134i | 0.464229 | − | 0.804068i | ||||
\(251\) | 24.4346 | 1.54230 | 0.771148 | − | 0.636656i | \(-0.219683\pi\) | ||||
0.771148 | + | 0.636656i | \(0.219683\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.45744 | −0.0916282 | ||||||||
\(254\) | −5.46658 | + | 9.46839i | −0.343004 | + | 0.594100i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.87085 | − | 15.3648i | −0.554428 | − | 0.960298i | ||||
\(257\) | −4.00832 | −0.250032 | −0.125016 | − | 0.992155i | \(-0.539898\pi\) | ||||
−0.125016 | + | 0.992155i | \(0.539898\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −4.23491 | −0.262638 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 5.63694 | − | 9.76347i | 0.348251 | − | 0.603189i | ||||
\(263\) | −17.6872 | −1.09064 | −0.545321 | − | 0.838227i | \(-0.683592\pi\) | ||||
−0.545321 | + | 0.838227i | \(0.683592\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.28550 | − | 5.69066i | 0.201827 | − | 0.349574i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.27197 | − | 9.13132i | 0.322037 | − | 0.557784i | ||||
\(269\) | −7.11366 | + | 12.3212i | −0.433727 | + | 0.751238i | −0.997191 | − | 0.0749032i | \(-0.976135\pi\) |
0.563463 | + | 0.826141i | \(0.309469\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.69937 | + | 4.67545i | 0.163975 | + | 0.284013i | 0.936291 | − | 0.351226i | \(-0.114235\pi\) |
−0.772316 | + | 0.635239i | \(0.780902\pi\) | |||||||
\(272\) | 18.9091 | + | 32.7515i | 1.14653 | + | 1.98585i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 11.9258 | − | 20.6561i | 0.720464 | − | 1.24788i | ||||
\(275\) | −2.41164 | −0.145427 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.66621 | 0.460618 | 0.230309 | − | 0.973118i | \(-0.426026\pi\) | ||||
0.230309 | + | 0.973118i | \(0.426026\pi\) | |||||||
\(278\) | −7.48267 | − | 12.9604i | −0.448781 | − | 0.777311i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.3312 | − | 19.6263i | −0.675965 | − | 1.17081i | −0.976186 | − | 0.216936i | \(-0.930394\pi\) |
0.300220 | − | 0.953870i | \(-0.402940\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 15.9246 | + | 27.5822i | 0.946619 | + | 1.63959i | 0.752476 | + | 0.658620i | \(0.228859\pi\) |
0.194144 | + | 0.980973i | \(0.437807\pi\) | |||||||
\(284\) | 1.91095 | + | 3.30986i | 0.113394 | + | 0.196404i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.50987 | + | 4.34722i | 0.148412 | + | 0.257057i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −20.2465 | − | 35.0680i | −1.19097 | − | 2.06282i | ||||
\(290\) | −8.83680 | −0.518915 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.96485 | 0.232025 | ||||||||
\(293\) | 13.7468 | − | 23.8102i | 0.803097 | − | 1.39100i | −0.114472 | − | 0.993427i | \(-0.536517\pi\) |
0.917568 | − | 0.397578i | \(-0.130149\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.95056 | + | 8.57462i | 0.288233 | + | 0.499234i | ||||
\(296\) | −6.59888 | − | 11.4296i | −0.383552 | − | 0.664332i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3.71015 | + | 6.42617i | −0.214923 | + | 0.372258i | ||||
\(299\) | −6.21720 | + | 10.7685i | −0.359550 | + | 0.622758i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 10.7534 | − | 18.6254i | 0.618789 | − | 1.07177i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 22.2509 | 1.27618 | ||||||||
\(305\) | −5.53087 | + | 9.57975i | −0.316697 | + | 0.548535i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.8176 | 0.845683 | 0.422841 | − | 0.906204i | \(-0.361033\pi\) | ||||
0.422841 | + | 0.906204i | \(0.361033\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −9.80085 | −0.556651 | ||||||||
\(311\) | 14.5318 | + | 25.1698i | 0.824021 | + | 1.42725i | 0.902665 | + | 0.430343i | \(0.141608\pi\) |
−0.0786442 | + | 0.996903i | \(0.525059\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.2390 | − | 21.1986i | 0.691790 | − | 1.19822i | −0.279461 | − | 0.960157i | \(-0.590156\pi\) |
0.971251 | − | 0.238058i | \(-0.0765110\pi\) | |||||||
\(314\) | 19.1614 | 1.08134 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.18539 | −0.0666834 | ||||||||
\(317\) | −3.69344 | + | 6.39722i | −0.207444 | + | 0.359304i | −0.950909 | − | 0.309472i | \(-0.899848\pi\) |
0.743465 | + | 0.668775i | \(0.233181\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.61126 | + | 2.79079i | 0.0902135 | + | 0.156254i | ||||
\(320\) | 1.88679 | 0.105475 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −33.8268 | −1.88218 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −10.2877 | + | 17.8188i | −0.570657 | + | 0.988407i | ||||
\(326\) | −2.83193 | −0.156846 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.996205 | − | 1.72548i | 0.0550062 | − | 0.0952736i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.0309 | + | 17.3740i | −0.551347 | + | 0.954960i | 0.446831 | + | 0.894618i | \(0.352552\pi\) |
−0.998178 | + | 0.0603420i | \(0.980781\pi\) | |||||||
\(332\) | −2.52573 | + | 4.37470i | −0.138618 | + | 0.240093i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.31657 | + | 5.74447i | 0.181475 | + | 0.314324i | ||||
\(335\) | 5.63106 | + | 9.75329i | 0.307658 | + | 0.532879i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.20327 | + | 5.54823i | −0.174493 | + | 0.302231i | −0.939986 | − | 0.341214i | \(-0.889162\pi\) |
0.765493 | + | 0.643445i | \(0.222495\pi\) | |||||||
\(338\) | 20.7317 | 1.12765 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 6.39692 | 0.346921 | ||||||||
\(341\) | 1.78705 | + | 3.09526i | 0.0967740 | + | 0.167617i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 6.59888 | + | 11.4296i | 0.355788 | + | 0.616243i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 13.6940 | + | 23.7187i | 0.736194 | + | 1.27512i | ||||
\(347\) | −14.5963 | − | 25.2816i | −0.783572 | − | 1.35719i | −0.929848 | − | 0.367943i | \(-0.880062\pi\) |
0.146276 | − | 0.989244i | \(-0.453271\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.17192 | + | 3.76188i | 0.116260 | + | 0.201369i | 0.918283 | − | 0.395925i | \(-0.129576\pi\) |
−0.802022 | + | 0.597294i | \(0.796243\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.38255 | + | 2.39464i | 0.0736899 | + | 0.127635i | ||||
\(353\) | −25.7007 | −1.36791 | −0.683955 | − | 0.729525i | \(-0.739741\pi\) | ||||
−0.683955 | + | 0.729525i | \(0.739741\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.08222 | −0.216662 | ||||||||
\(356\) | 0.374892 | − | 0.649331i | 0.0198692 | − | 0.0344145i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 12.1421 | + | 21.0308i | 0.641732 | + | 1.11151i | ||||
\(359\) | 10.3436 | + | 17.9157i | 0.545916 | + | 0.945554i | 0.998549 | + | 0.0538567i | \(0.0171514\pi\) |
−0.452633 | + | 0.891697i | \(0.649515\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.451246 | + | 0.781582i | −0.0237498 | + | 0.0411359i | ||||
\(362\) | −10.9518 | + | 18.9691i | −0.575614 | + | 0.996992i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.11745 | + | 3.66754i | −0.110833 | + | 0.191968i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.84781 | −0.148655 | −0.0743273 | − | 0.997234i | \(-0.523681\pi\) | ||||
−0.0743273 | + | 0.997234i | \(0.523681\pi\) | |||||||
\(368\) | −6.17742 | + | 10.6996i | −0.322020 | + | 0.557755i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −11.2739 | −0.586101 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 21.4327 | 1.10974 | 0.554871 | − | 0.831936i | \(-0.312768\pi\) | ||||
0.554871 | + | 0.831936i | \(0.312768\pi\) | |||||||
\(374\) | −3.79121 | − | 6.56657i | −0.196039 | − | 0.339549i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.06085 | − | 12.2297i | 0.364135 | − | 0.630701i | ||||
\(377\) | 27.4936 | 1.41599 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 27.0494 | 1.38943 | 0.694716 | − | 0.719284i | \(-0.255530\pi\) | ||||
0.694716 | + | 0.719284i | \(0.255530\pi\) | |||||||
\(380\) | 1.88186 | − | 3.25947i | 0.0965372 | − | 0.167207i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.83929 | − | 3.18575i | −0.0941064 | − | 0.162997i | ||||
\(383\) | 14.4268 | 0.737175 | 0.368588 | − | 0.929593i | \(-0.379841\pi\) | ||||
0.368588 | + | 0.929593i | \(0.379841\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 17.7293 | 0.902399 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.51366 | − | 2.62174i | 0.0768446 | − | 0.133099i | ||||
\(389\) | 6.10755 | 0.309665 | 0.154832 | − | 0.987941i | \(-0.450516\pi\) | ||||
0.154832 | + | 0.987941i | \(0.450516\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.39120 | − | 16.2660i | 0.474933 | − | 0.822609i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −15.9635 | + | 27.6497i | −0.804232 | + | 1.39297i | ||||
\(395\) | 0.633065 | − | 1.09650i | 0.0318530 | − | 0.0551710i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.44364 | + | 11.1607i | 0.323397 | + | 0.560140i | 0.981187 | − | 0.193061i | \(-0.0618417\pi\) |
−0.657789 | + | 0.753202i | \(0.728508\pi\) | |||||||
\(398\) | −7.16059 | − | 12.4025i | −0.358928 | − | 0.621682i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −10.2218 | + | 17.7047i | −0.511092 | + | 0.885237i | ||||
\(401\) | −8.39060 | −0.419006 | −0.209503 | − | 0.977808i | \(-0.567185\pi\) | ||||
−0.209503 | + | 0.977808i | \(0.567185\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 30.4930 | 1.51897 | ||||||||
\(404\) | −4.25997 | − | 7.37848i | −0.211941 | − | 0.367093i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.05563 | + | 3.56046i | 0.101894 | + | 0.176485i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.40633 | − | 5.89994i | −0.168432 | − | 0.291733i | 0.769437 | − | 0.638723i | \(-0.220537\pi\) |
−0.937869 | + | 0.346990i | \(0.887204\pi\) | |||||||
\(410\) | −0.850985 | − | 1.47395i | −0.0420271 | − | 0.0727931i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 5.17817 | + | 8.96885i | 0.255110 | + | 0.441864i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.69777 | − | 4.67267i | −0.132428 | − | 0.229372i | ||||
\(416\) | 23.5909 | 1.15664 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −4.46122 | −0.218205 | ||||||||
\(419\) | −5.16231 | + | 8.94137i | −0.252195 | + | 0.436815i | −0.964130 | − | 0.265431i | \(-0.914486\pi\) |
0.711935 | + | 0.702246i | \(0.247819\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.56801 | − | 2.71588i | −0.0764202 | − | 0.132364i | 0.825283 | − | 0.564720i | \(-0.191016\pi\) |
−0.901703 | + | 0.432356i | \(0.857682\pi\) | |||||||
\(422\) | −9.53706 | − | 16.5187i | −0.464257 | − | 0.804117i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.53706 | + | 11.3225i | −0.317468 | + | 0.549870i | ||||
\(425\) | 15.5397 | − | 26.9156i | 0.753787 | − | 1.30560i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −1.68794 | + | 2.92359i | −0.0815895 | + | 0.141317i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 11.2739 | 0.543675 | ||||||||
\(431\) | 15.9363 | − | 27.6025i | 0.767625 | − | 1.32957i | −0.171222 | − | 0.985233i | \(-0.554771\pi\) |
0.938847 | − | 0.344334i | \(-0.111895\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.48855 | 0.359877 | 0.179938 | − | 0.983678i | \(-0.442410\pi\) | ||||
0.179938 | + | 0.983678i | \(0.442410\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −11.4327 | −0.547526 | ||||||||
\(437\) | −5.52544 | − | 9.57035i | −0.264318 | − | 0.457812i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.14465 | + | 1.98259i | −0.0546311 | + | 0.0946238i | −0.892048 | − | 0.451941i | \(-0.850732\pi\) |
0.837417 | + | 0.546565i | \(0.184065\pi\) | |||||||
\(440\) | −1.05489 | −0.0502900 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −64.6908 | −3.07703 | ||||||||
\(443\) | 18.6749 | − | 32.3458i | 0.887270 | − | 1.53680i | 0.0441800 | − | 0.999024i | \(-0.485933\pi\) |
0.843090 | − | 0.537773i | \(-0.180734\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.400427 | + | 0.693560i | 0.0189821 | + | 0.0328779i | ||||
\(446\) | −35.2755 | −1.67034 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.20286 | 0.292731 | 0.146366 | − | 0.989231i | \(-0.453242\pi\) | ||||
0.146366 | + | 0.989231i | \(0.453242\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.310330 | + | 0.537507i | −0.0146129 | + | 0.0253102i | ||||
\(452\) | −8.01732 | −0.377103 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −8.86376 | + | 15.3525i | −0.415997 | + | 0.720527i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −10.0858 | + | 17.4691i | −0.471795 | + | 0.817172i | −0.999479 | − | 0.0322682i | \(-0.989727\pi\) |
0.527685 | + | 0.849440i | \(0.323060\pi\) | |||||||
\(458\) | −12.7975 | + | 22.1660i | −0.597989 | + | 1.03575i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.04490 | + | 1.80983i | 0.0487189 | + | 0.0843836i | ||||
\(461\) | −11.2680 | − | 19.5168i | −0.524803 | − | 0.908986i | −0.999583 | − | 0.0288813i | \(-0.990806\pi\) |
0.474780 | − | 0.880105i | \(-0.342528\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.8145 | − | 23.9275i | 0.642016 | − | 1.11200i | −0.342966 | − | 0.939348i | \(-0.611432\pi\) |
0.984982 | − | 0.172656i | \(-0.0552350\pi\) | |||||||
\(464\) | 27.3177 | 1.26819 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −7.45606 | −0.345395 | ||||||||
\(467\) | 10.0612 | + | 17.4265i | 0.465577 | + | 0.806404i | 0.999227 | − | 0.0393016i | \(-0.0125133\pi\) |
−0.533650 | + | 0.845705i | \(0.679180\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −6.03156 | − | 10.4470i | −0.278215 | − | 0.481883i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −9.84997 | − | 17.0607i | −0.453382 | − | 0.785280i | ||||
\(473\) | −2.05563 | − | 3.56046i | −0.0945181 | − | 0.163710i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9.14301 | − | 15.8362i | −0.419510 | − | 0.726613i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.11677 | − | 14.0586i | −0.371252 | − | 0.643028i | ||||
\(479\) | 9.58658 | 0.438022 | 0.219011 | − | 0.975722i | \(-0.429717\pi\) | ||||
0.219011 | + | 0.975722i | \(0.429717\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 35.0760 | 1.59933 | ||||||||
\(482\) | −8.95351 | + | 15.5079i | −0.407821 | + | 0.706367i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.73422 | + | 8.19991i | 0.215192 | + | 0.372723i | ||||
\(485\) | 1.61677 | + | 2.80032i | 0.0734135 | + | 0.127156i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.53706 | + | 11.3225i | −0.296223 | + | 0.513073i | −0.975269 | − | 0.221023i | \(-0.929060\pi\) |
0.679046 | + | 0.734096i | \(0.262394\pi\) | |||||||
\(488\) | 11.0046 | − | 19.0605i | 0.498155 | − | 0.862830i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7.67054 | − | 13.2858i | 0.346167 | − | 0.599578i | −0.639398 | − | 0.768876i | \(-0.720817\pi\) |
0.985565 | + | 0.169298i | \(0.0541499\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −41.5297 | −1.87040 | ||||||||
\(494\) | −19.0309 | + | 32.9624i | −0.856239 | + | 1.48305i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 30.2979 | 1.36042 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.86535 | 0.217803 | 0.108902 | − | 0.994053i | \(-0.465267\pi\) | ||||
0.108902 | + | 0.994053i | \(0.465267\pi\) | |||||||
\(500\) | 3.83814 | + | 6.64786i | 0.171647 | + | 0.297301i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −20.7648 | + | 35.9657i | −0.926780 | + | 1.60523i | ||||
\(503\) | −16.0085 | −0.713783 | −0.356892 | − | 0.934146i | \(-0.616163\pi\) | ||||
−0.356892 | + | 0.934146i | \(0.616163\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.10026 | 0.404956 | ||||||||
\(506\) | 1.23855 | − | 2.14523i | 0.0550603 | − | 0.0953672i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.85848 | − | 4.95102i | −0.126824 | − | 0.219666i | ||||
\(509\) | 31.1851 | 1.38225 | 0.691127 | − | 0.722733i | \(-0.257115\pi\) | ||||
0.691127 | + | 0.722733i | \(0.257115\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 4.59937 | 0.203265 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3.40633 | − | 5.89994i | 0.150247 | − | 0.260235i | ||||
\(515\) | −11.0617 | −0.487439 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.19954 | + | 3.80971i | −0.0967356 | + | 0.167551i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.50000 | + | 7.79423i | −0.197338 | + | 0.341800i | ||||
\(521\) | 10.4830 | − | 18.1572i | 0.459270 | − | 0.795480i | −0.539652 | − | 0.841888i | \(-0.681444\pi\) |
0.998923 | + | 0.0464085i | \(0.0147776\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −21.7821 | − | 37.7277i | −0.952465 | − | 1.64972i | −0.740064 | − | 0.672536i | \(-0.765205\pi\) |
−0.212401 | − | 0.977183i | \(-0.568128\pi\) | |||||||
\(524\) | 2.94756 | + | 5.10532i | 0.128765 | + | 0.223027i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 15.0309 | − | 26.0342i | 0.655377 | − | 1.13515i | ||||
\(527\) | −46.0604 | −2.00642 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −16.8640 | −0.733216 | ||||||||
\(530\) | 5.58413 | + | 9.67200i | 0.242559 | + | 0.420125i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.64764 | + | 4.58584i | 0.114682 | + | 0.198635i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.80291 | − | 3.12273i | −0.0779466 | − | 0.135007i | ||||
\(536\) | −11.2040 | − | 19.4058i | −0.483937 | − | 0.838204i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −12.0906 | − | 20.9415i | −0.521262 | − | 0.902852i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.93268 | − | 8.54365i | −0.212072 | − | 0.367320i | 0.740291 | − | 0.672287i | \(-0.234688\pi\) |
−0.952363 | + | 0.304967i | \(0.901355\pi\) | |||||||
\(542\) | −9.17585 | −0.394137 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −35.6345 | −1.52782 | ||||||||
\(545\) | 6.10570 | − | 10.5754i | 0.261539 | − | 0.453000i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.284350 | − | 0.492509i | −0.0121579 | − | 0.0210582i | 0.859882 | − | 0.510492i | \(-0.170537\pi\) |
−0.872040 | + | 0.489434i | \(0.837203\pi\) | |||||||
\(548\) | 6.23600 | + | 10.8011i | 0.266389 | + | 0.461399i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.04944 | − | 3.54974i | 0.0873885 | − | 0.151361i | ||||
\(551\) | −12.2173 | + | 21.1609i | −0.520473 | + | 0.901487i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −6.51485 | + | 11.2841i | −0.276789 | + | 0.479413i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 7.82538 | 0.331870 | ||||||||
\(557\) | −1.29349 | + | 2.24040i | −0.0548071 | + | 0.0949286i | −0.892127 | − | 0.451784i | \(-0.850788\pi\) |
0.837320 | + | 0.546713i | \(0.184121\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −35.0760 | −1.48356 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 38.5178 | 1.62478 | ||||||||
\(563\) | −16.6416 | − | 28.8240i | −0.701358 | − | 1.21479i | −0.967990 | − | 0.250989i | \(-0.919244\pi\) |
0.266632 | − | 0.963798i | \(-0.414089\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.28171 | − | 7.41613i | 0.180133 | − | 0.311999i | ||||
\(566\) | −54.1318 | −2.27533 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 8.12227 | 0.340803 | ||||||||
\(569\) | −2.67673 | + | 4.63623i | −0.112214 | + | 0.194361i | −0.916663 | − | 0.399662i | \(-0.869128\pi\) |
0.804448 | + | 0.594022i | \(0.202461\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.45056 | − | 4.24449i | −0.102553 | − | 0.177626i | 0.810183 | − | 0.586177i | \(-0.199368\pi\) |
−0.912736 | + | 0.408551i | \(0.866034\pi\) | |||||||
\(572\) | −2.62482 | −0.109749 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 10.1533 | 0.423424 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 18.0378 | − | 31.2425i | 0.750925 | − | 1.30064i | −0.196450 | − | 0.980514i | \(-0.562941\pi\) |
0.947375 | − | 0.320127i | \(-0.103725\pi\) | |||||||
\(578\) | 68.8231 | 2.86266 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.31038 | − | 4.00170i | 0.0959333 | − | 0.166161i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.03637 | − | 3.52710i | 0.0843380 | − | 0.146078i | ||||
\(584\) | 4.21303 | − | 7.29719i | 0.174337 | − | 0.301960i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 23.3645 | + | 40.4684i | 0.965177 | + | 1.67174i | ||||
\(587\) | 0.527445 | + | 0.913562i | 0.0217700 | + | 0.0377068i | 0.876705 | − | 0.481028i | \(-0.159737\pi\) |
−0.854935 | + | 0.518735i | \(0.826403\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.5501 | + | 23.4695i | −0.558323 | + | 0.967045i | ||||
\(590\) | −16.8282 | −0.692807 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 34.8516 | 1.43239 | ||||||||
\(593\) | −7.53548 | − | 13.0518i | −0.309445 | − | 0.535975i | 0.668796 | − | 0.743446i | \(-0.266810\pi\) |
−0.978241 | + | 0.207471i | \(0.933477\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.94004 | − | 3.36024i | −0.0794670 | − | 0.137641i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −10.5669 | − | 18.3024i | −0.432114 | − | 0.748443i | ||||
\(599\) | 21.0283 | + | 36.4221i | 0.859194 | + | 1.48817i | 0.872699 | + | 0.488259i | \(0.162368\pi\) |
−0.0135047 | + | 0.999909i | \(0.504299\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −9.44989 | − | 16.3677i | −0.385469 | − | 0.667652i | 0.606365 | − | 0.795186i | \(-0.292627\pi\) |
−0.991834 | + | 0.127534i | \(0.959294\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.62296 | + | 9.73924i | 0.228795 | + | 0.396284i | ||||
\(605\) | −10.1134 | −0.411167 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −29.4425 | −1.19504 | −0.597518 | − | 0.801856i | \(-0.703846\pi\) | ||||
−0.597518 | + | 0.801856i | \(0.703846\pi\) | |||||||
\(608\) | −10.4830 | + | 18.1572i | −0.425143 | + | 0.736370i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −9.40043 | − | 16.2820i | −0.380612 | − | 0.659240i | ||||
\(611\) | 18.7658 | + | 32.5033i | 0.759182 | + | 1.31494i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.83379 | − | 10.1044i | 0.235625 | − | 0.408114i | −0.723829 | − | 0.689979i | \(-0.757620\pi\) |
0.959454 | + | 0.281865i | \(0.0909531\pi\) | |||||||
\(614\) | −12.5922 | + | 21.8103i | −0.508179 | + | 0.880191i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −16.4054 | + | 28.4151i | −0.660458 | + | 1.14395i | 0.320037 | + | 0.947405i | \(0.396305\pi\) |
−0.980495 | + | 0.196542i | \(0.937029\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −24.1612 | −0.971119 | −0.485560 | − | 0.874204i | \(-0.661384\pi\) | ||||
−0.485560 | + | 0.874204i | \(0.661384\pi\) | |||||||
\(620\) | 2.56243 | − | 4.43827i | 0.102910 | − | 0.178245i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −49.3972 | −1.98065 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 12.2953 | 0.491811 | ||||||||
\(626\) | 20.8018 | + | 36.0297i | 0.831406 | + | 1.44004i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −5.00975 | + | 8.67714i | −0.199911 | + | 0.346256i | ||||
\(629\) | −52.9830 | −2.11257 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −11.1003 | −0.441894 | −0.220947 | − | 0.975286i | \(-0.570915\pi\) | ||||
−0.220947 | + | 0.975286i | \(0.570915\pi\) | |||||||
\(632\) | −1.25959 | + | 2.18168i | −0.0501038 | + | 0.0867824i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −6.27747 | − | 10.8729i | −0.249310 | − | 0.431818i | ||||
\(635\) | 6.10635 | 0.242323 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −5.47710 | −0.216840 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6.06464 | + | 10.5043i | −0.239726 | + | 0.415218i | ||||
\(641\) | −7.30037 | −0.288347 | −0.144174 | − | 0.989552i | \(-0.546052\pi\) | ||||
−0.144174 | + | 0.989552i | \(0.546052\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −10.6256 | + | 18.4041i | −0.419033 | + | 0.725787i | −0.995842 | − | 0.0910922i | \(-0.970964\pi\) |
0.576809 | + | 0.816879i | \(0.304298\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 28.7465 | − | 49.7904i | 1.13102 | − | 1.95898i | ||||
\(647\) | 8.47300 | − | 14.6757i | 0.333108 | − | 0.576960i | −0.650011 | − | 0.759924i | \(-0.725236\pi\) |
0.983120 | + | 0.182964i | \(0.0585693\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.06839 | + | 5.31460i | 0.120445 | + | 0.208616i | ||||
\(650\) | −17.4852 | − | 30.2853i | −0.685826 | − | 1.18789i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.740409 | − | 1.28243i | 0.0289967 | − | 0.0502237i | ||||
\(653\) | 3.73305 | 0.146085 | 0.0730427 | − | 0.997329i | \(-0.476729\pi\) | ||||
0.0730427 | + | 0.997329i | \(0.476729\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.29665 | −0.246031 | ||||||||
\(656\) | 2.63070 | + | 4.55650i | 0.102711 | + | 0.177902i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −11.7992 | − | 20.4368i | −0.459632 | − | 0.796105i | 0.539310 | − | 0.842107i | \(-0.318685\pi\) |
−0.998941 | + | 0.0460022i | \(0.985352\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.2588 | − | 29.8930i | −0.671288 | − | 1.16270i | −0.977539 | − | 0.210754i | \(-0.932408\pi\) |
0.306252 | − | 0.951951i | \(-0.400925\pi\) | |||||||
\(662\) | −17.0488 | − | 29.5293i | −0.662619 | − | 1.14769i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5.36767 | + | 9.29708i | 0.208306 | + | 0.360796i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.78366 | − | 11.7496i | −0.262664 | − | 0.454948i | ||||
\(668\) | −3.46847 | −0.134199 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −19.1414 | −0.739498 | ||||||||
\(671\) | −3.42807 | + | 5.93759i | −0.132339 | + | 0.229218i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.2287 | + | 21.1808i | 0.471382 | + | 0.816458i | 0.999464 | − | 0.0327353i | \(-0.0104218\pi\) |
−0.528082 | + | 0.849194i | \(0.677088\pi\) | |||||||
\(674\) | −5.44437 | − | 9.42992i | −0.209709 | − | 0.363227i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.42030 | + | 9.38823i | −0.208473 | + | 0.361086i | ||||
\(677\) | −4.16022 | + | 7.20572i | −0.159890 | + | 0.276938i | −0.934829 | − | 0.355098i | \(-0.884447\pi\) |
0.774939 | + | 0.632037i | \(0.217781\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 6.79734 | − | 11.7733i | 0.260666 | − | 0.451487i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −6.07463 | −0.232610 | ||||||||
\(683\) | −21.2312 | + | 36.7735i | −0.812389 | + | 1.40710i | 0.0987988 | + | 0.995107i | \(0.468500\pi\) |
−0.911188 | + | 0.411991i | \(0.864833\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.3215 | −0.508989 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −34.8516 | −1.32870 | ||||||||
\(689\) | −17.3737 | − | 30.0921i | −0.661885 | − | 1.14642i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −17.6964 | + | 30.6511i | −0.673204 | + | 1.16602i | 0.303786 | + | 0.952740i | \(0.401749\pi\) |
−0.976990 | + | 0.213284i | \(0.931584\pi\) | |||||||
\(692\) | −14.3212 | −0.544410 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 49.6167 | 1.88342 | ||||||||
\(695\) | −4.17920 | + | 7.23859i | −0.158526 | + | 0.274575i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.99931 | − | 6.92701i | −0.151485 | − | 0.262379i | ||||
\(698\) | −7.38293 | −0.279448 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 7.00372 | 0.264527 | 0.132263 | − | 0.991215i | \(-0.457776\pi\) | ||||
0.132263 | + | 0.991215i | \(0.457776\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −15.5867 | + | 26.9969i | −0.587862 | + | 1.01821i | ||||
\(704\) | 1.16944 | 0.0440751 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 21.8408 | − | 37.8294i | 0.821989 | − | 1.42373i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.11126 | − | 1.92477i | 0.0417344 | − | 0.0722861i | −0.844404 | − | 0.535707i | \(-0.820045\pi\) |
0.886138 | + | 0.463421i | \(0.153378\pi\) | |||||||
\(710\) | 3.46913 | − | 6.00870i | 0.130194 | − | 0.225503i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.796717 | − | 1.37995i | −0.0298582 | − | 0.0517160i | ||||
\(713\) | −7.52373 | − | 13.0315i | −0.281766 | − | 0.488033i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.40180 | − | 2.42800i | 0.0524245 | − | 0.0908019i | ||||
\(716\) | −12.6983 | −0.474556 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −35.1606 | −1.31218 | ||||||||
\(719\) | 13.0088 | + | 22.5319i | 0.485145 | + | 0.840296i | 0.999854 | − | 0.0170686i | \(-0.00543337\pi\) |
−0.514709 | + | 0.857365i | \(0.672100\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −0.766951 | − | 1.32840i | −0.0285430 | − | 0.0494379i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −5.72670 | − | 9.91893i | −0.212831 | − | 0.368634i | ||||
\(725\) | −11.2250 | − | 19.4423i | −0.416886 | − | 0.722068i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.685875 | + | 1.18797i | 0.0254377 | + | 0.0440594i | 0.878464 | − | 0.477809i | \(-0.158569\pi\) |
−0.853026 | + | 0.521868i | \(0.825235\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.59888 | − | 6.23345i | −0.133201 | − | 0.230710i | ||||
\(731\) | 52.9830 | 1.95965 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.800174 | −0.0295551 | −0.0147776 | − | 0.999891i | \(-0.504704\pi\) | ||||
−0.0147776 | + | 0.999891i | \(0.504704\pi\) | |||||||
\(734\) | 2.42011 | − | 4.19176i | 0.0893280 | − | 0.154721i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −5.82072 | − | 10.0818i | −0.214555 | − | 0.371620i | ||||
\(737\) | 3.49017 | + | 6.04515i | 0.128562 | + | 0.222676i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.68547 | + | 4.65136i | −0.0987865 | + | 0.171103i | −0.911183 | − | 0.412003i | \(-0.864829\pi\) |
0.812396 | + | 0.583106i | \(0.198163\pi\) | |||||||
\(740\) | 2.94756 | − | 5.10532i | 0.108354 | − | 0.187675i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −6.63162 | + | 11.4863i | −0.243290 | + | 0.421391i | −0.961650 | − | 0.274281i | \(-0.911560\pi\) |
0.718359 | + | 0.695672i | \(0.244893\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.14436 | 0.151838 | ||||||||
\(746\) | −18.2138 | + | 31.5472i | −0.666854 | + | 1.15503i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.96485 | 0.144969 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.55632 | 0.202753 | 0.101377 | − | 0.994848i | \(-0.467675\pi\) | ||||
0.101377 | + | 0.994848i | \(0.467675\pi\) | |||||||
\(752\) | 18.6457 | + | 32.2953i | 0.679939 | + | 1.17769i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −23.3645 | + | 40.4684i | −0.850883 | + | 1.47377i | ||||
\(755\) | −12.0119 | −0.437158 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −13.3942 | −0.486819 | −0.243410 | − | 0.969924i | \(-0.578266\pi\) | ||||
−0.243410 | + | 0.969924i | \(0.578266\pi\) | |||||||
\(758\) | −22.9869 | + | 39.8145i | −0.834923 | + | 1.44613i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.99931 | − | 6.92701i | −0.145070 | − | 0.251269i | ||||
\(761\) | 12.8438 | 0.465588 | 0.232794 | − | 0.972526i | \(-0.425213\pi\) | ||||
0.232794 | + | 0.972526i | \(0.425213\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 1.92353 | 0.0695910 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −12.2601 | + | 21.2351i | −0.442975 | + | 0.767256i | ||||
\(767\) | 52.3570 | 1.89050 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.48259 | + | 2.56793i | −0.0534636 | + | 0.0926018i | −0.891519 | − | 0.452984i | \(-0.850359\pi\) |
0.838055 | + | 0.545586i | \(0.183693\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.63533 | + | 8.02864i | −0.166829 | + | 0.288957i | ||||
\(773\) | −9.63939 | + | 16.6959i | −0.346705 | + | 0.600510i | −0.985662 | − | 0.168732i | \(-0.946033\pi\) |
0.638957 | + | 0.769242i | \(0.279366\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −12.4496 | − | 21.5633i | −0.447203 | − | 0.774578i | ||||
\(776\) | −3.21683 | − | 5.57171i | −0.115477 | − | 0.200013i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.19028 | + | 8.98983i | −0.186080 | + | 0.322301i | ||||
\(779\) | −4.70610 | −0.168614 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.53018 | −0.0905371 | ||||||||
\(782\) | 15.9616 | + | 27.6462i | 0.570784 | + | 0.988627i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −5.35098 | − | 9.26818i | −0.190985 | − | 0.330795i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.82265 | − | 11.8172i | −0.243201 | − | 0.421237i | 0.718423 | − | 0.695606i | \(-0.244864\pi\) |
−0.961624 | + | 0.274370i | \(0.911531\pi\) | |||||||
\(788\) | −8.34734 | − | 14.4580i | −0.297362 | − | 0.515046i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.07598 | + | 1.86364i | 0.0382815 | + | 0.0663055i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 29.2472 | + | 50.6577i | 1.03860 | + | 1.79891i | ||||
\(794\) | −21.9036 | −0.777330 | ||||||||
\(795\) |