Newspace parameters
Level: | \( N \) | = | \( 4017 = 3 \cdot 13 \cdot 103 \) |
Weight: | \( k \) | = | \( 2 \) |
Character orbit: | \([\chi]\) | = | 4017.a (trivial) |
Newform invariants
Self dual: | Yes |
Analytic conductor: | \(32.0759064919\) |
Analytic rank: | \(0\) |
Dimension: | \(25\) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.19 | ||
Character | \(\chi\) | = | 4017.1 |
$q$-expansion
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.86177 | 1.31647 | 0.658236 | − | 0.752812i | \(-0.271303\pi\) | ||||
0.658236 | + | 0.752812i | \(0.271303\pi\) | |||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 1.46619 | 0.733097 | ||||||||
\(5\) | −1.56946 | −0.701884 | −0.350942 | − | 0.936397i | \(-0.614139\pi\) | ||||
−0.350942 | + | 0.936397i | \(0.614139\pi\) | |||||||
\(6\) | −1.86177 | −0.760065 | ||||||||
\(7\) | 2.25881 | 0.853751 | 0.426876 | − | 0.904310i | \(-0.359614\pi\) | ||||
0.426876 | + | 0.904310i | \(0.359614\pi\) | |||||||
\(8\) | −0.993826 | −0.351370 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −2.92198 | −0.924010 | ||||||||
\(11\) | 6.29697 | 1.89861 | 0.949304 | − | 0.314358i | \(-0.101789\pi\) | ||||
0.949304 | + | 0.314358i | \(0.101789\pi\) | |||||||
\(12\) | −1.46619 | −0.423254 | ||||||||
\(13\) | 1.00000 | 0.277350 | ||||||||
\(14\) | 4.20539 | 1.12394 | ||||||||
\(15\) | 1.56946 | 0.405233 | ||||||||
\(16\) | −4.78266 | −1.19567 | ||||||||
\(17\) | −4.10223 | −0.994937 | −0.497468 | − | 0.867482i | \(-0.665737\pi\) | ||||
−0.497468 | + | 0.867482i | \(0.665737\pi\) | |||||||
\(18\) | 1.86177 | 0.438824 | ||||||||
\(19\) | 8.25707 | 1.89430 | 0.947151 | − | 0.320787i | \(-0.103948\pi\) | ||||
0.947151 | + | 0.320787i | \(0.103948\pi\) | |||||||
\(20\) | −2.30113 | −0.514549 | ||||||||
\(21\) | −2.25881 | −0.492913 | ||||||||
\(22\) | 11.7235 | 2.49946 | ||||||||
\(23\) | −2.99206 | −0.623887 | −0.311944 | − | 0.950101i | \(-0.600980\pi\) | ||||
−0.311944 | + | 0.950101i | \(0.600980\pi\) | |||||||
\(24\) | 0.993826 | 0.202864 | ||||||||
\(25\) | −2.53680 | −0.507359 | ||||||||
\(26\) | 1.86177 | 0.365123 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 3.31186 | 0.625882 | ||||||||
\(29\) | −0.0882376 | −0.0163853 | −0.00819265 | − | 0.999966i | \(-0.502608\pi\) | ||||
−0.00819265 | + | 0.999966i | \(0.502608\pi\) | |||||||
\(30\) | 2.92198 | 0.533477 | ||||||||
\(31\) | −7.72751 | −1.38790 | −0.693951 | − | 0.720022i | \(-0.744132\pi\) | ||||
−0.693951 | + | 0.720022i | \(0.744132\pi\) | |||||||
\(32\) | −6.91658 | −1.22269 | ||||||||
\(33\) | −6.29697 | −1.09616 | ||||||||
\(34\) | −7.63742 | −1.30981 | ||||||||
\(35\) | −3.54512 | −0.599234 | ||||||||
\(36\) | 1.46619 | 0.244366 | ||||||||
\(37\) | 7.34373 | 1.20730 | 0.603651 | − | 0.797249i | \(-0.293712\pi\) | ||||
0.603651 | + | 0.797249i | \(0.293712\pi\) | |||||||
\(38\) | 15.3728 | 2.49379 | ||||||||
\(39\) | −1.00000 | −0.160128 | ||||||||
\(40\) | 1.55977 | 0.246621 | ||||||||
\(41\) | 5.08697 | 0.794451 | 0.397226 | − | 0.917721i | \(-0.369973\pi\) | ||||
0.397226 | + | 0.917721i | \(0.369973\pi\) | |||||||
\(42\) | −4.20539 | −0.648906 | ||||||||
\(43\) | −1.50267 | −0.229155 | −0.114578 | − | 0.993414i | \(-0.536551\pi\) | ||||
−0.114578 | + | 0.993414i | \(0.536551\pi\) | |||||||
\(44\) | 9.23258 | 1.39186 | ||||||||
\(45\) | −1.56946 | −0.233961 | ||||||||
\(46\) | −5.57053 | −0.821330 | ||||||||
\(47\) | 11.9728 | 1.74641 | 0.873205 | − | 0.487353i | \(-0.162037\pi\) | ||||
0.873205 | + | 0.487353i | \(0.162037\pi\) | |||||||
\(48\) | 4.78266 | 0.690318 | ||||||||
\(49\) | −1.89776 | −0.271109 | ||||||||
\(50\) | −4.72293 | −0.667924 | ||||||||
\(51\) | 4.10223 | 0.574427 | ||||||||
\(52\) | 1.46619 | 0.203324 | ||||||||
\(53\) | 10.8404 | 1.48905 | 0.744523 | − | 0.667597i | \(-0.232677\pi\) | ||||
0.744523 | + | 0.667597i | \(0.232677\pi\) | |||||||
\(54\) | −1.86177 | −0.253355 | ||||||||
\(55\) | −9.88285 | −1.33260 | ||||||||
\(56\) | −2.24487 | −0.299983 | ||||||||
\(57\) | −8.25707 | −1.09368 | ||||||||
\(58\) | −0.164278 | −0.0215708 | ||||||||
\(59\) | 6.81304 | 0.886982 | 0.443491 | − | 0.896279i | \(-0.353740\pi\) | ||||
0.443491 | + | 0.896279i | \(0.353740\pi\) | |||||||
\(60\) | 2.30113 | 0.297075 | ||||||||
\(61\) | 6.84133 | 0.875942 | 0.437971 | − | 0.898989i | \(-0.355697\pi\) | ||||
0.437971 | + | 0.898989i | \(0.355697\pi\) | |||||||
\(62\) | −14.3869 | −1.82713 | ||||||||
\(63\) | 2.25881 | 0.284584 | ||||||||
\(64\) | −3.31176 | −0.413970 | ||||||||
\(65\) | −1.56946 | −0.194668 | ||||||||
\(66\) | −11.7235 | −1.44307 | ||||||||
\(67\) | 4.62221 | 0.564693 | 0.282346 | − | 0.959313i | \(-0.408887\pi\) | ||||
0.282346 | + | 0.959313i | \(0.408887\pi\) | |||||||
\(68\) | −6.01466 | −0.729385 | ||||||||
\(69\) | 2.99206 | 0.360201 | ||||||||
\(70\) | −6.60020 | −0.788875 | ||||||||
\(71\) | 4.74962 | 0.563677 | 0.281838 | − | 0.959462i | \(-0.409056\pi\) | ||||
0.281838 | + | 0.959462i | \(0.409056\pi\) | |||||||
\(72\) | −0.993826 | −0.117123 | ||||||||
\(73\) | −0.130293 | −0.0152497 | −0.00762483 | − | 0.999971i | \(-0.502427\pi\) | ||||
−0.00762483 | + | 0.999971i | \(0.502427\pi\) | |||||||
\(74\) | 13.6723 | 1.58938 | ||||||||
\(75\) | 2.53680 | 0.292924 | ||||||||
\(76\) | 12.1065 | 1.38871 | ||||||||
\(77\) | 14.2237 | 1.62094 | ||||||||
\(78\) | −1.86177 | −0.210804 | ||||||||
\(79\) | −10.1097 | −1.13743 | −0.568715 | − | 0.822535i | \(-0.692559\pi\) | ||||
−0.568715 | + | 0.822535i | \(0.692559\pi\) | |||||||
\(80\) | 7.50620 | 0.839219 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 9.47078 | 1.04587 | ||||||||
\(83\) | −17.1480 | −1.88224 | −0.941118 | − | 0.338079i | \(-0.890223\pi\) | ||||
−0.941118 | + | 0.338079i | \(0.890223\pi\) | |||||||
\(84\) | −3.31186 | −0.361353 | ||||||||
\(85\) | 6.43829 | 0.698330 | ||||||||
\(86\) | −2.79763 | −0.301676 | ||||||||
\(87\) | 0.0882376 | 0.00946006 | ||||||||
\(88\) | −6.25809 | −0.667115 | ||||||||
\(89\) | −6.49793 | −0.688780 | −0.344390 | − | 0.938827i | \(-0.611914\pi\) | ||||
−0.344390 | + | 0.938827i | \(0.611914\pi\) | |||||||
\(90\) | −2.92198 | −0.308003 | ||||||||
\(91\) | 2.25881 | 0.236788 | ||||||||
\(92\) | −4.38694 | −0.457370 | ||||||||
\(93\) | 7.72751 | 0.801305 | ||||||||
\(94\) | 22.2906 | 2.29910 | ||||||||
\(95\) | −12.9591 | −1.32958 | ||||||||
\(96\) | 6.91658 | 0.705920 | ||||||||
\(97\) | −10.0318 | −1.01858 | −0.509288 | − | 0.860596i | \(-0.670091\pi\) | ||||
−0.509288 | + | 0.860596i | \(0.670091\pi\) | |||||||
\(98\) | −3.53320 | −0.356907 | ||||||||
\(99\) | 6.29697 | 0.632870 | ||||||||
\(100\) | −3.71943 | −0.371943 | ||||||||
\(101\) | 14.3062 | 1.42352 | 0.711762 | − | 0.702421i | \(-0.247897\pi\) | ||||
0.711762 | + | 0.702421i | \(0.247897\pi\) | |||||||
\(102\) | 7.63742 | 0.756217 | ||||||||
\(103\) | −1.00000 | −0.0985329 | ||||||||
\(104\) | −0.993826 | −0.0974526 | ||||||||
\(105\) | 3.54512 | 0.345968 | ||||||||
\(106\) | 20.1824 | 1.96029 | ||||||||
\(107\) | 14.1867 | 1.37148 | 0.685739 | − | 0.727848i | \(-0.259479\pi\) | ||||
0.685739 | + | 0.727848i | \(0.259479\pi\) | |||||||
\(108\) | −1.46619 | −0.141085 | ||||||||
\(109\) | 0.400719 | 0.0383819 | 0.0191909 | − | 0.999816i | \(-0.493891\pi\) | ||||
0.0191909 | + | 0.999816i | \(0.493891\pi\) | |||||||
\(110\) | −18.3996 | −1.75433 | ||||||||
\(111\) | −7.34373 | −0.697036 | ||||||||
\(112\) | −10.8031 | −1.02080 | ||||||||
\(113\) | 10.7347 | 1.00984 | 0.504918 | − | 0.863167i | \(-0.331523\pi\) | ||||
0.504918 | + | 0.863167i | \(0.331523\pi\) | |||||||
\(114\) | −15.3728 | −1.43979 | ||||||||
\(115\) | 4.69591 | 0.437896 | ||||||||
\(116\) | −0.129373 | −0.0120120 | ||||||||
\(117\) | 1.00000 | 0.0924500 | ||||||||
\(118\) | 12.6843 | 1.16769 | ||||||||
\(119\) | −9.26617 | −0.849428 | ||||||||
\(120\) | −1.55977 | −0.142387 | ||||||||
\(121\) | 28.6519 | 2.60472 | ||||||||
\(122\) | 12.7370 | 1.15315 | ||||||||
\(123\) | −5.08697 | −0.458677 | ||||||||
\(124\) | −11.3300 | −1.01747 | ||||||||
\(125\) | 11.8287 | 1.05799 | ||||||||
\(126\) | 4.20539 | 0.374646 | ||||||||
\(127\) | 2.42583 | 0.215258 | 0.107629 | − | 0.994191i | \(-0.465674\pi\) | ||||
0.107629 | + | 0.994191i | \(0.465674\pi\) | |||||||
\(128\) | 7.66741 | 0.677710 | ||||||||
\(129\) | 1.50267 | 0.132303 | ||||||||
\(130\) | −2.92198 | −0.256274 | ||||||||
\(131\) | −6.31062 | −0.551361 | −0.275681 | − | 0.961249i | \(-0.588903\pi\) | ||||
−0.275681 | + | 0.961249i | \(0.588903\pi\) | |||||||
\(132\) | −9.23258 | −0.803593 | ||||||||
\(133\) | 18.6512 | 1.61726 | ||||||||
\(134\) | 8.60550 | 0.743402 | ||||||||
\(135\) | 1.56946 | 0.135078 | ||||||||
\(136\) | 4.07690 | 0.349591 | ||||||||
\(137\) | 21.7361 | 1.85704 | 0.928521 | − | 0.371279i | \(-0.121081\pi\) | ||||
0.928521 | + | 0.371279i | \(0.121081\pi\) | |||||||
\(138\) | 5.57053 | 0.474195 | ||||||||
\(139\) | 17.1967 | 1.45861 | 0.729304 | − | 0.684190i | \(-0.239844\pi\) | ||||
0.729304 | + | 0.684190i | \(0.239844\pi\) | |||||||
\(140\) | −5.19783 | −0.439297 | ||||||||
\(141\) | −11.9728 | −1.00829 | ||||||||
\(142\) | 8.84272 | 0.742064 | ||||||||
\(143\) | 6.29697 | 0.526579 | ||||||||
\(144\) | −4.78266 | −0.398555 | ||||||||
\(145\) | 0.138485 | 0.0115006 | ||||||||
\(146\) | −0.242576 | −0.0200757 | ||||||||
\(147\) | 1.89776 | 0.156525 | ||||||||
\(148\) | 10.7673 | 0.885069 | ||||||||
\(149\) | 2.90495 | 0.237983 | 0.118992 | − | 0.992895i | \(-0.462034\pi\) | ||||
0.118992 | + | 0.992895i | \(0.462034\pi\) | |||||||
\(150\) | 4.72293 | 0.385626 | ||||||||
\(151\) | −12.0229 | −0.978411 | −0.489205 | − | 0.872169i | \(-0.662713\pi\) | ||||
−0.489205 | + | 0.872169i | \(0.662713\pi\) | |||||||
\(152\) | −8.20609 | −0.665602 | ||||||||
\(153\) | −4.10223 | −0.331646 | ||||||||
\(154\) | 26.4813 | 2.13392 | ||||||||
\(155\) | 12.1280 | 0.974146 | ||||||||
\(156\) | −1.46619 | −0.117389 | ||||||||
\(157\) | 3.12910 | 0.249730 | 0.124865 | − | 0.992174i | \(-0.460150\pi\) | ||||
0.124865 | + | 0.992174i | \(0.460150\pi\) | |||||||
\(158\) | −18.8219 | −1.49739 | ||||||||
\(159\) | −10.8404 | −0.859701 | ||||||||
\(160\) | 10.8553 | 0.858186 | ||||||||
\(161\) | −6.75850 | −0.532644 | ||||||||
\(162\) | 1.86177 | 0.146275 | ||||||||
\(163\) | 18.7831 | 1.47120 | 0.735602 | − | 0.677414i | \(-0.236899\pi\) | ||||
0.735602 | + | 0.677414i | \(0.236899\pi\) | |||||||
\(164\) | 7.45848 | 0.582410 | ||||||||
\(165\) | 9.88285 | 0.769379 | ||||||||
\(166\) | −31.9256 | −2.47791 | ||||||||
\(167\) | 9.35561 | 0.723959 | 0.361979 | − | 0.932186i | \(-0.382101\pi\) | ||||
0.361979 | + | 0.932186i | \(0.382101\pi\) | |||||||
\(168\) | 2.24487 | 0.173195 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 11.9866 | 0.919332 | ||||||||
\(171\) | 8.25707 | 0.631434 | ||||||||
\(172\) | −2.20321 | −0.167993 | ||||||||
\(173\) | 9.69810 | 0.737333 | 0.368666 | − | 0.929562i | \(-0.379814\pi\) | ||||
0.368666 | + | 0.929562i | \(0.379814\pi\) | |||||||
\(174\) | 0.164278 | 0.0124539 | ||||||||
\(175\) | −5.73015 | −0.433158 | ||||||||
\(176\) | −30.1163 | −2.27010 | ||||||||
\(177\) | −6.81304 | −0.512099 | ||||||||
\(178\) | −12.0977 | −0.906759 | ||||||||
\(179\) | 2.84544 | 0.212678 | 0.106339 | − | 0.994330i | \(-0.466087\pi\) | ||||
0.106339 | + | 0.994330i | \(0.466087\pi\) | |||||||
\(180\) | −2.30113 | −0.171516 | ||||||||
\(181\) | −4.83800 | −0.359606 | −0.179803 | − | 0.983703i | \(-0.557546\pi\) | ||||
−0.179803 | + | 0.983703i | \(0.557546\pi\) | |||||||
\(182\) | 4.20539 | 0.311725 | ||||||||
\(183\) | −6.84133 | −0.505725 | ||||||||
\(184\) | 2.97358 | 0.219215 | ||||||||
\(185\) | −11.5257 | −0.847385 | ||||||||
\(186\) | 14.3869 | 1.05490 | ||||||||
\(187\) | −25.8316 | −1.88900 | ||||||||
\(188\) | 17.5544 | 1.28029 | ||||||||
\(189\) | −2.25881 | −0.164304 | ||||||||
\(190\) | −24.1270 | −1.75035 | ||||||||
\(191\) | −13.8101 | −0.999261 | −0.499631 | − | 0.866239i | \(-0.666531\pi\) | ||||
−0.499631 | + | 0.866239i | \(0.666531\pi\) | |||||||
\(192\) | 3.31176 | 0.239006 | ||||||||
\(193\) | −7.34299 | −0.528560 | −0.264280 | − | 0.964446i | \(-0.585134\pi\) | ||||
−0.264280 | + | 0.964446i | \(0.585134\pi\) | |||||||
\(194\) | −18.6769 | −1.34093 | ||||||||
\(195\) | 1.56946 | 0.112391 | ||||||||
\(196\) | −2.78249 | −0.198749 | ||||||||
\(197\) | 7.11104 | 0.506641 | 0.253320 | − | 0.967382i | \(-0.418477\pi\) | ||||
0.253320 | + | 0.967382i | \(0.418477\pi\) | |||||||
\(198\) | 11.7235 | 0.833155 | ||||||||
\(199\) | 2.75212 | 0.195093 | 0.0975463 | − | 0.995231i | \(-0.468901\pi\) | ||||
0.0975463 | + | 0.995231i | \(0.468901\pi\) | |||||||
\(200\) | 2.52113 | 0.178271 | ||||||||
\(201\) | −4.62221 | −0.326026 | ||||||||
\(202\) | 26.6349 | 1.87403 | ||||||||
\(203\) | −0.199312 | −0.0139890 | ||||||||
\(204\) | 6.01466 | 0.421111 | ||||||||
\(205\) | −7.98380 | −0.557613 | ||||||||
\(206\) | −1.86177 | −0.129716 | ||||||||
\(207\) | −2.99206 | −0.207962 | ||||||||
\(208\) | −4.78266 | −0.331618 | ||||||||
\(209\) | 51.9946 | 3.59654 | ||||||||
\(210\) | 6.60020 | 0.455457 | ||||||||
\(211\) | −7.77779 | −0.535445 | −0.267723 | − | 0.963496i | \(-0.586271\pi\) | ||||
−0.267723 | + | 0.963496i | \(0.586271\pi\) | |||||||
\(212\) | 15.8941 | 1.09161 | ||||||||
\(213\) | −4.74962 | −0.325439 | ||||||||
\(214\) | 26.4123 | 1.80551 | ||||||||
\(215\) | 2.35838 | 0.160840 | ||||||||
\(216\) | 0.993826 | 0.0676213 | ||||||||
\(217\) | −17.4550 | −1.18492 | ||||||||
\(218\) | 0.746047 | 0.0505286 | ||||||||
\(219\) | 0.130293 | 0.00880439 | ||||||||
\(220\) | −14.4902 | −0.976927 | ||||||||
\(221\) | −4.10223 | −0.275946 | ||||||||
\(222\) | −13.6723 | −0.917627 | ||||||||
\(223\) | −14.4522 | −0.967791 | −0.483896 | − | 0.875126i | \(-0.660779\pi\) | ||||
−0.483896 | + | 0.875126i | \(0.660779\pi\) | |||||||
\(224\) | −15.6233 | −1.04387 | ||||||||
\(225\) | −2.53680 | −0.169120 | ||||||||
\(226\) | 19.9856 | 1.32942 | ||||||||
\(227\) | −3.65605 | −0.242661 | −0.121330 | − | 0.992612i | \(-0.538716\pi\) | ||||
−0.121330 | + | 0.992612i | \(0.538716\pi\) | |||||||
\(228\) | −12.1065 | −0.801770 | ||||||||
\(229\) | −7.00073 | −0.462621 | −0.231311 | − | 0.972880i | \(-0.574301\pi\) | ||||
−0.231311 | + | 0.972880i | \(0.574301\pi\) | |||||||
\(230\) | 8.74272 | 0.576478 | ||||||||
\(231\) | −14.2237 | −0.935850 | ||||||||
\(232\) | 0.0876928 | 0.00575731 | ||||||||
\(233\) | −0.911437 | −0.0597102 | −0.0298551 | − | 0.999554i | \(-0.509505\pi\) | ||||
−0.0298551 | + | 0.999554i | \(0.509505\pi\) | |||||||
\(234\) | 1.86177 | 0.121708 | ||||||||
\(235\) | −18.7908 | −1.22578 | ||||||||
\(236\) | 9.98923 | 0.650244 | ||||||||
\(237\) | 10.1097 | 0.656695 | ||||||||
\(238\) | −17.2515 | −1.11825 | ||||||||
\(239\) | −5.55401 | −0.359259 | −0.179630 | − | 0.983734i | \(-0.557490\pi\) | ||||
−0.179630 | + | 0.983734i | \(0.557490\pi\) | |||||||
\(240\) | −7.50620 | −0.484523 | ||||||||
\(241\) | −11.5522 | −0.744141 | −0.372071 | − | 0.928204i | \(-0.621352\pi\) | ||||
−0.372071 | + | 0.928204i | \(0.621352\pi\) | |||||||
\(242\) | 53.3432 | 3.42903 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 10.0307 | 0.642150 | ||||||||
\(245\) | 2.97846 | 0.190287 | ||||||||
\(246\) | −9.47078 | −0.603835 | ||||||||
\(247\) | 8.25707 | 0.525385 | ||||||||
\(248\) | 7.67980 | 0.487668 | ||||||||
\(249\) | 17.1480 | 1.08671 | ||||||||
\(250\) | 22.0223 | 1.39281 | ||||||||
\(251\) | −17.2837 | −1.09094 | −0.545468 | − | 0.838132i | \(-0.683648\pi\) | ||||
−0.545468 | + | 0.838132i | \(0.683648\pi\) | |||||||
\(252\) | 3.31186 | 0.208627 | ||||||||
\(253\) | −18.8409 | −1.18452 | ||||||||
\(254\) | 4.51635 | 0.283381 | ||||||||
\(255\) | −6.43829 | −0.403181 | ||||||||
\(256\) | 20.8985 | 1.30616 | ||||||||
\(257\) | −9.43669 | −0.588645 | −0.294322 | − | 0.955706i | \(-0.595094\pi\) | ||||
−0.294322 | + | 0.955706i | \(0.595094\pi\) | |||||||
\(258\) | 2.79763 | 0.174173 | ||||||||
\(259\) | 16.5881 | 1.03073 | ||||||||
\(260\) | −2.30113 | −0.142710 | ||||||||
\(261\) | −0.0882376 | −0.00546177 | ||||||||
\(262\) | −11.7489 | −0.725851 | ||||||||
\(263\) | 25.6603 | 1.58228 | 0.791142 | − | 0.611632i | \(-0.209487\pi\) | ||||
0.791142 | + | 0.611632i | \(0.209487\pi\) | |||||||
\(264\) | 6.25809 | 0.385159 | ||||||||
\(265\) | −17.0136 | −1.04514 | ||||||||
\(266\) | 34.7242 | 2.12908 | ||||||||
\(267\) | 6.49793 | 0.397667 | ||||||||
\(268\) | 6.77706 | 0.413975 | ||||||||
\(269\) | 30.8547 | 1.88124 | 0.940621 | − | 0.339458i | \(-0.110244\pi\) | ||||
0.940621 | + | 0.339458i | \(0.110244\pi\) | |||||||
\(270\) | 2.92198 | 0.177826 | ||||||||
\(271\) | −27.8837 | −1.69381 | −0.846906 | − | 0.531743i | \(-0.821537\pi\) | ||||
−0.846906 | + | 0.531743i | \(0.821537\pi\) | |||||||
\(272\) | 19.6196 | 1.18961 | ||||||||
\(273\) | −2.25881 | −0.136710 | ||||||||
\(274\) | 40.4677 | 2.44474 | ||||||||
\(275\) | −15.9741 | −0.963276 | ||||||||
\(276\) | 4.38694 | 0.264063 | ||||||||
\(277\) | 1.10800 | 0.0665733 | 0.0332866 | − | 0.999446i | \(-0.489403\pi\) | ||||
0.0332866 | + | 0.999446i | \(0.489403\pi\) | |||||||
\(278\) | 32.0164 | 1.92022 | ||||||||
\(279\) | −7.72751 | −0.462634 | ||||||||
\(280\) | 3.52323 | 0.210553 | ||||||||
\(281\) | −24.6142 | −1.46836 | −0.734181 | − | 0.678954i | \(-0.762433\pi\) | ||||
−0.734181 | + | 0.678954i | \(0.762433\pi\) | |||||||
\(282\) | −22.2906 | −1.32739 | ||||||||
\(283\) | −13.9248 | −0.827746 | −0.413873 | − | 0.910335i | \(-0.635824\pi\) | ||||
−0.413873 | + | 0.910335i | \(0.635824\pi\) | |||||||
\(284\) | 6.96387 | 0.413230 | ||||||||
\(285\) | 12.9591 | 0.767634 | ||||||||
\(286\) | 11.7235 | 0.693227 | ||||||||
\(287\) | 11.4905 | 0.678264 | ||||||||
\(288\) | −6.91658 | −0.407563 | ||||||||
\(289\) | −0.171710 | −0.0101006 | ||||||||
\(290\) | 0.257828 | 0.0151402 | ||||||||
\(291\) | 10.0318 | 0.588075 | ||||||||
\(292\) | −0.191035 | −0.0111795 | ||||||||
\(293\) | 2.79845 | 0.163487 | 0.0817435 | − | 0.996653i | \(-0.473951\pi\) | ||||
0.0817435 | + | 0.996653i | \(0.473951\pi\) | |||||||
\(294\) | 3.53320 | 0.206060 | ||||||||
\(295\) | −10.6928 | −0.622558 | ||||||||
\(296\) | −7.29838 | −0.424210 | ||||||||
\(297\) | −6.29697 | −0.365387 | ||||||||
\(298\) | 5.40836 | 0.313298 | ||||||||
\(299\) | −2.99206 | −0.173035 | ||||||||
\(300\) | 3.71943 | 0.214742 | ||||||||
\(301\) | −3.39425 | −0.195641 | ||||||||
\(302\) | −22.3839 | −1.28805 | ||||||||
\(303\) | −14.3062 | −0.821872 | ||||||||
\(304\) | −39.4908 | −2.26495 | ||||||||
\(305\) | −10.7372 | −0.614810 | ||||||||
\(306\) | −7.63742 | −0.436602 | ||||||||
\(307\) | 8.30771 | 0.474146 | 0.237073 | − | 0.971492i | \(-0.423812\pi\) | ||||
0.237073 | + | 0.971492i | \(0.423812\pi\) | |||||||
\(308\) | 20.8547 | 1.18831 | ||||||||
\(309\) | 1.00000 | 0.0568880 | ||||||||
\(310\) | 22.5796 | 1.28244 | ||||||||
\(311\) | −21.6061 | −1.22517 | −0.612586 | − | 0.790404i | \(-0.709871\pi\) | ||||
−0.612586 | + | 0.790404i | \(0.709871\pi\) | |||||||
\(312\) | 0.993826 | 0.0562643 | ||||||||
\(313\) | 5.64234 | 0.318924 | 0.159462 | − | 0.987204i | \(-0.449024\pi\) | ||||
0.159462 | + | 0.987204i | \(0.449024\pi\) | |||||||
\(314\) | 5.82567 | 0.328762 | ||||||||
\(315\) | −3.54512 | −0.199745 | ||||||||
\(316\) | −14.8228 | −0.833846 | ||||||||
\(317\) | −12.4310 | −0.698193 | −0.349097 | − | 0.937087i | \(-0.613511\pi\) | ||||
−0.349097 | + | 0.937087i | \(0.613511\pi\) | |||||||
\(318\) | −20.1824 | −1.13177 | ||||||||
\(319\) | −0.555630 | −0.0311093 | ||||||||
\(320\) | 5.19767 | 0.290559 | ||||||||
\(321\) | −14.1867 | −0.791823 | ||||||||
\(322\) | −12.5828 | −0.701211 | ||||||||
\(323\) | −33.8724 | −1.88471 | ||||||||
\(324\) | 1.46619 | 0.0814552 | ||||||||
\(325\) | −2.53680 | −0.140716 | ||||||||
\(326\) | 34.9698 | 1.93680 | ||||||||
\(327\) | −0.400719 | −0.0221598 | ||||||||
\(328\) | −5.05556 | −0.279147 | ||||||||
\(329\) | 27.0443 | 1.49100 | ||||||||
\(330\) | 18.3996 | 1.01286 | ||||||||
\(331\) | 18.9862 | 1.04357 | 0.521787 | − | 0.853076i | \(-0.325266\pi\) | ||||
0.521787 | + | 0.853076i | \(0.325266\pi\) | |||||||
\(332\) | −25.1423 | −1.37986 | ||||||||
\(333\) | 7.34373 | 0.402434 | ||||||||
\(334\) | 17.4180 | 0.953071 | ||||||||
\(335\) | −7.25437 | −0.396349 | ||||||||
\(336\) | 10.8031 | 0.589360 | ||||||||
\(337\) | −33.6146 | −1.83110 | −0.915551 | − | 0.402201i | \(-0.868245\pi\) | ||||
−0.915551 | + | 0.402201i | \(0.868245\pi\) | |||||||
\(338\) | 1.86177 | 0.101267 | ||||||||
\(339\) | −10.7347 | −0.583029 | ||||||||
\(340\) | 9.43977 | 0.511944 | ||||||||
\(341\) | −48.6599 | −2.63508 | ||||||||
\(342\) | 15.3728 | 0.831265 | ||||||||
\(343\) | −20.0984 | −1.08521 | ||||||||
\(344\) | 1.49339 | 0.0805183 | ||||||||
\(345\) | −4.69591 | −0.252820 | ||||||||
\(346\) | 18.0556 | 0.970677 | ||||||||
\(347\) | 25.5823 | 1.37333 | 0.686664 | − | 0.726975i | \(-0.259074\pi\) | ||||
0.686664 | + | 0.726975i | \(0.259074\pi\) | |||||||
\(348\) | 0.129373 | 0.00693514 | ||||||||
\(349\) | −30.0749 | −1.60987 | −0.804936 | − | 0.593361i | \(-0.797801\pi\) | ||||
−0.804936 | + | 0.593361i | \(0.797801\pi\) | |||||||
\(350\) | −10.6682 | −0.570241 | ||||||||
\(351\) | −1.00000 | −0.0533761 | ||||||||
\(352\) | −43.5535 | −2.32141 | ||||||||
\(353\) | −16.6497 | −0.886174 | −0.443087 | − | 0.896479i | \(-0.646117\pi\) | ||||
−0.443087 | + | 0.896479i | \(0.646117\pi\) | |||||||
\(354\) | −12.6843 | −0.674164 | ||||||||
\(355\) | −7.45435 | −0.395636 | ||||||||
\(356\) | −9.52723 | −0.504942 | ||||||||
\(357\) | 9.26617 | 0.490418 | ||||||||
\(358\) | 5.29755 | 0.279984 | ||||||||
\(359\) | −14.6032 | −0.770727 | −0.385363 | − | 0.922765i | \(-0.625924\pi\) | ||||
−0.385363 | + | 0.922765i | \(0.625924\pi\) | |||||||
\(360\) | 1.55977 | 0.0822071 | ||||||||
\(361\) | 49.1793 | 2.58838 | ||||||||
\(362\) | −9.00725 | −0.473410 | ||||||||
\(363\) | −28.6519 | −1.50383 | ||||||||
\(364\) | 3.31186 | 0.173589 | ||||||||
\(365\) | 0.204490 | 0.0107035 | ||||||||
\(366\) | −12.7370 | −0.665773 | ||||||||
\(367\) | 26.8928 | 1.40379 | 0.701896 | − | 0.712279i | \(-0.252337\pi\) | ||||
0.701896 | + | 0.712279i | \(0.252337\pi\) | |||||||
\(368\) | 14.3100 | 0.745961 | ||||||||
\(369\) | 5.08697 | 0.264817 | ||||||||
\(370\) | −21.4582 | −1.11556 | ||||||||
\(371\) | 24.4865 | 1.27127 | ||||||||
\(372\) | 11.3300 | 0.587434 | ||||||||
\(373\) | −16.4048 | −0.849408 | −0.424704 | − | 0.905332i | \(-0.639622\pi\) | ||||
−0.424704 | + | 0.905332i | \(0.639622\pi\) | |||||||
\(374\) | −48.0926 | −2.48681 | ||||||||
\(375\) | −11.8287 | −0.610831 | ||||||||
\(376\) | −11.8989 | −0.613637 | ||||||||
\(377\) | −0.0882376 | −0.00454447 | ||||||||
\(378\) | −4.20539 | −0.216302 | ||||||||
\(379\) | 21.9502 | 1.12751 | 0.563753 | − | 0.825944i | \(-0.309357\pi\) | ||||
0.563753 | + | 0.825944i | \(0.309357\pi\) | |||||||
\(380\) | −19.0006 | −0.974711 | ||||||||
\(381\) | −2.42583 | −0.124279 | ||||||||
\(382\) | −25.7112 | −1.31550 | ||||||||
\(383\) | −13.3214 | −0.680691 | −0.340345 | − | 0.940300i | \(-0.610544\pi\) | ||||
−0.340345 | + | 0.940300i | \(0.610544\pi\) | |||||||
\(384\) | −7.66741 | −0.391276 | ||||||||
\(385\) | −22.3235 | −1.13771 | ||||||||
\(386\) | −13.6710 | −0.695834 | ||||||||
\(387\) | −1.50267 | −0.0763851 | ||||||||
\(388\) | −14.7086 | −0.746715 | ||||||||
\(389\) | 8.48281 | 0.430096 | 0.215048 | − | 0.976604i | \(-0.431009\pi\) | ||||
0.215048 | + | 0.976604i | \(0.431009\pi\) | |||||||
\(390\) | 2.92198 | 0.147960 | ||||||||
\(391\) | 12.2741 | 0.620728 | ||||||||
\(392\) | 1.88605 | 0.0952597 | ||||||||
\(393\) | 6.31062 | 0.318328 | ||||||||
\(394\) | 13.2391 | 0.666978 | ||||||||
\(395\) | 15.8668 | 0.798343 | ||||||||
\(396\) | 9.23258 | 0.463955 | ||||||||
\(397\) | −26.8086 | −1.34549 | −0.672743 | − | 0.739876i | \(-0.734884\pi\) | ||||
−0.672743 | + | 0.739876i | \(0.734884\pi\) | |||||||
\(398\) | 5.12382 | 0.256834 | ||||||||
\(399\) | −18.6512 | −0.933727 | ||||||||
\(400\) | 12.1326 | 0.606632 | ||||||||
\(401\) | −35.4638 | −1.77098 | −0.885489 | − | 0.464661i | \(-0.846176\pi\) | ||||
−0.885489 | + | 0.464661i | \(0.846176\pi\) | |||||||
\(402\) | −8.60550 | −0.429203 | ||||||||
\(403\) | −7.72751 | −0.384935 | ||||||||
\(404\) | 20.9757 | 1.04358 | ||||||||
\(405\) | −1.56946 | −0.0779871 | ||||||||
\(406\) | −0.371074 | −0.0184161 | ||||||||
\(407\) | 46.2432 | 2.29219 | ||||||||
\(408\) | −4.07690 | −0.201837 | ||||||||
\(409\) | −10.7234 | −0.530237 | −0.265118 | − | 0.964216i | \(-0.585411\pi\) | ||||
−0.265118 | + | 0.964216i | \(0.585411\pi\) | |||||||
\(410\) | −14.8640 | −0.734081 | ||||||||
\(411\) | −21.7361 | −1.07216 | ||||||||
\(412\) | −1.46619 | −0.0722342 | ||||||||
\(413\) | 15.3894 | 0.757262 | ||||||||
\(414\) | −5.57053 | −0.273777 | ||||||||
\(415\) | 26.9131 | 1.32111 | ||||||||
\(416\) | −6.91658 | −0.339113 | ||||||||
\(417\) | −17.1967 | −0.842128 | ||||||||
\(418\) | 96.8020 | 4.73474 | ||||||||
\(419\) | −14.3837 | −0.702689 | −0.351344 | − | 0.936246i | \(-0.614275\pi\) | ||||
−0.351344 | + | 0.936246i | \(0.614275\pi\) | |||||||
\(420\) | 5.19783 | 0.253628 | ||||||||
\(421\) | 2.64706 | 0.129010 | 0.0645048 | − | 0.997917i | \(-0.479453\pi\) | ||||
0.0645048 | + | 0.997917i | \(0.479453\pi\) | |||||||
\(422\) | −14.4805 | −0.704899 | ||||||||
\(423\) | 11.9728 | 0.582137 | ||||||||
\(424\) | −10.7735 | −0.523207 | ||||||||
\(425\) | 10.4065 | 0.504790 | ||||||||
\(426\) | −8.84272 | −0.428431 | ||||||||
\(427\) | 15.4533 | 0.747836 | ||||||||
\(428\) | 20.8004 | 1.00543 | ||||||||
\(429\) | −6.29697 | −0.304021 | ||||||||
\(430\) | 4.39077 | 0.211742 | ||||||||
\(431\) | 1.86512 | 0.0898397 | 0.0449199 | − | 0.998991i | \(-0.485697\pi\) | ||||
0.0449199 | + | 0.998991i | \(0.485697\pi\) | |||||||
\(432\) | 4.78266 | 0.230106 | ||||||||
\(433\) | 40.8079 | 1.96110 | 0.980550 | − | 0.196267i | \(-0.0628820\pi\) | ||||
0.980550 | + | 0.196267i | \(0.0628820\pi\) | |||||||
\(434\) | −32.4972 | −1.55992 | ||||||||
\(435\) | −0.138485 | −0.00663986 | ||||||||
\(436\) | 0.587531 | 0.0281376 | ||||||||
\(437\) | −24.7056 | −1.18183 | ||||||||
\(438\) | 0.242576 | 0.0115907 | ||||||||
\(439\) | −21.3173 | −1.01742 | −0.508710 | − | 0.860938i | \(-0.669877\pi\) | ||||
−0.508710 | + | 0.860938i | \(0.669877\pi\) | |||||||
\(440\) | 9.82183 | 0.468237 | ||||||||
\(441\) | −1.89776 | −0.0903697 | ||||||||
\(442\) | −7.63742 | −0.363275 | ||||||||
\(443\) | −19.0780 | −0.906425 | −0.453212 | − | 0.891403i | \(-0.649722\pi\) | ||||
−0.453212 | + | 0.891403i | \(0.649722\pi\) | |||||||
\(444\) | −10.7673 | −0.510995 | ||||||||
\(445\) | 10.1982 | 0.483443 | ||||||||
\(446\) | −26.9067 | −1.27407 | ||||||||
\(447\) | −2.90495 | −0.137400 | ||||||||
\(448\) | −7.48064 | −0.353427 | ||||||||
\(449\) | 17.6287 | 0.831949 | 0.415974 | − | 0.909376i | \(-0.363441\pi\) | ||||
0.415974 | + | 0.909376i | \(0.363441\pi\) | |||||||
\(450\) | −4.72293 | −0.222641 | ||||||||
\(451\) | 32.0325 | 1.50835 | ||||||||
\(452\) | 15.7391 | 0.740307 | ||||||||
\(453\) | 12.0229 | 0.564886 | ||||||||
\(454\) | −6.80674 | −0.319456 | ||||||||
\(455\) | −3.54512 | −0.166198 | ||||||||
\(456\) | 8.20609 | 0.384285 | ||||||||
\(457\) | 30.3878 | 1.42148 | 0.710742 | − | 0.703453i | \(-0.248359\pi\) | ||||
0.710742 | + | 0.703453i | \(0.248359\pi\) | |||||||
\(458\) | −13.0338 | −0.609028 | ||||||||
\(459\) | 4.10223 | 0.191476 | ||||||||
\(460\) | 6.88512 | 0.321020 | ||||||||
\(461\) | −18.4832 | −0.860850 | −0.430425 | − | 0.902626i | \(-0.641636\pi\) | ||||
−0.430425 | + | 0.902626i | \(0.641636\pi\) | |||||||
\(462\) | −26.4813 | −1.23202 | ||||||||
\(463\) | −1.43876 | −0.0668649 | −0.0334325 | − | 0.999441i | \(-0.510644\pi\) | ||||
−0.0334325 | + | 0.999441i | \(0.510644\pi\) | |||||||
\(464\) | 0.422011 | 0.0195914 | ||||||||
\(465\) | −12.1280 | −0.562423 | ||||||||
\(466\) | −1.69689 | −0.0786068 | ||||||||
\(467\) | 4.30295 | 0.199117 | 0.0995585 | − | 0.995032i | \(-0.468257\pi\) | ||||
0.0995585 | + | 0.995032i | \(0.468257\pi\) | |||||||
\(468\) | 1.46619 | 0.0677748 | ||||||||
\(469\) | 10.4407 | 0.482107 | ||||||||
\(470\) | −34.9842 | −1.61370 | ||||||||
\(471\) | −3.12910 | −0.144181 | ||||||||
\(472\) | −6.77097 | −0.311659 | ||||||||
\(473\) | −9.46228 | −0.435076 | ||||||||
\(474\) | 18.8219 | 0.864520 | ||||||||
\(475\) | −20.9465 | −0.961091 | ||||||||
\(476\) | −13.5860 | −0.622713 | ||||||||
\(477\) | 10.8404 | 0.496348 | ||||||||
\(478\) | −10.3403 | −0.472955 | ||||||||
\(479\) | −37.4876 | −1.71285 | −0.856427 | − | 0.516269i | \(-0.827321\pi\) | ||||
−0.856427 | + | 0.516269i | \(0.827321\pi\) | |||||||
\(480\) | −10.8553 | −0.495474 | ||||||||
\(481\) | 7.34373 | 0.334845 | ||||||||
\(482\) | −21.5075 | −0.979640 | ||||||||
\(483\) | 6.75850 | 0.307522 | ||||||||
\(484\) | 42.0092 | 1.90951 | ||||||||
\(485\) | 15.7445 | 0.714922 | ||||||||
\(486\) | −1.86177 | −0.0844517 | ||||||||
\(487\) | −11.7948 | −0.534476 | −0.267238 | − | 0.963631i | \(-0.586111\pi\) | ||||
−0.267238 | + | 0.963631i | \(0.586111\pi\) | |||||||
\(488\) | −6.79908 | −0.307780 | ||||||||
\(489\) | −18.7831 | −0.849400 | ||||||||
\(490\) | 5.54522 | 0.250507 | ||||||||
\(491\) | −23.3888 | −1.05552 | −0.527761 | − | 0.849393i | \(-0.676968\pi\) | ||||
−0.527761 | + | 0.849393i | \(0.676968\pi\) | |||||||
\(492\) | −7.45848 | −0.336254 | ||||||||
\(493\) | 0.361971 | 0.0163023 | ||||||||
\(494\) | 15.3728 | 0.691654 | ||||||||
\(495\) | −9.88285 | −0.444201 | ||||||||
\(496\) | 36.9581 | 1.65947 | ||||||||
\(497\) | 10.7285 | 0.481240 | ||||||||
\(498\) | 31.9256 | 1.43062 | ||||||||
\(499\) | −16.9072 | −0.756871 | −0.378435 | − | 0.925628i | \(-0.623538\pi\) | ||||
−0.378435 | + | 0.925628i | \(0.623538\pi\) | |||||||
\(500\) | 17.3432 | 0.775610 | ||||||||
\(501\) | −9.35561 | −0.417978 | ||||||||
\(502\) | −32.1782 | −1.43618 | ||||||||
\(503\) | −7.62989 | −0.340200 | −0.170100 | − | 0.985427i | \(-0.554409\pi\) | ||||
−0.170100 | + | 0.985427i | \(0.554409\pi\) | |||||||
\(504\) | −2.24487 | −0.0999943 | ||||||||
\(505\) | −22.4531 | −0.999148 | ||||||||
\(506\) | −35.0775 | −1.55938 | ||||||||
\(507\) | −1.00000 | −0.0444116 | ||||||||
\(508\) | 3.55674 | 0.157805 | ||||||||
\(509\) | 22.1165 | 0.980295 | 0.490148 | − | 0.871639i | \(-0.336943\pi\) | ||||
0.490148 | + | 0.871639i | \(0.336943\pi\) | |||||||
\(510\) | −11.9866 | −0.530776 | ||||||||
\(511\) | −0.294308 | −0.0130194 | ||||||||
\(512\) | 23.5734 | 1.04181 | ||||||||
\(513\) | −8.25707 | −0.364559 | ||||||||
\(514\) | −17.5690 | −0.774934 | ||||||||
\(515\) | 1.56946 | 0.0691587 | ||||||||
\(516\) | 2.20321 | 0.0969908 | ||||||||
\(517\) | 75.3923 | 3.31575 | ||||||||
\(518\) | 30.8833 | 1.35693 | ||||||||
\(519\) | −9.69810 | −0.425699 | ||||||||
\(520\) | 1.55977 | 0.0684004 | ||||||||
\(521\) | −11.3798 | −0.498557 | −0.249278 | − | 0.968432i | \(-0.580193\pi\) | ||||
−0.249278 | + | 0.968432i | \(0.580193\pi\) | |||||||
\(522\) | −0.164278 | −0.00719026 | ||||||||
\(523\) | 27.0292 | 1.18190 | 0.590951 | − | 0.806707i | \(-0.298753\pi\) | ||||
0.590951 | + | 0.806707i | \(0.298753\pi\) | |||||||
\(524\) | −9.25258 | −0.404201 | ||||||||
\(525\) | 5.73015 | 0.250084 | ||||||||
\(526\) | 47.7737 | 2.08303 | ||||||||
\(527\) | 31.7000 | 1.38087 | ||||||||
\(528\) | 30.1163 | 1.31064 | ||||||||
\(529\) | −14.0476 | −0.610765 | ||||||||
\(530\) | −31.6754 | −1.37589 | ||||||||
\(531\) | 6.81304 | 0.295661 | ||||||||
\(532\) | 27.3462 | 1.18561 | ||||||||
\(533\) | 5.08697 | 0.220341 | ||||||||
\(534\) | 12.0977 | 0.523517 | ||||||||
\(535\) | −22.2654 | −0.962618 | ||||||||
\(536\) | −4.59367 | −0.198416 | ||||||||
\(537\) | −2.84544 | −0.122790 | ||||||||
\(538\) | 57.4444 | 2.47660 | ||||||||
\(539\) | −11.9502 | −0.514730 | ||||||||
\(540\) | 2.30113 | 0.0990250 | ||||||||
\(541\) | 25.5420 | 1.09814 | 0.549069 | − | 0.835777i | \(-0.314982\pi\) | ||||
0.549069 | + | 0.835777i | \(0.314982\pi\) | |||||||
\(542\) | −51.9130 | −2.22985 | ||||||||
\(543\) | 4.83800 | 0.207618 | ||||||||
\(544\) | 28.3734 | 1.21650 | ||||||||
\(545\) | −0.628912 | −0.0269396 | ||||||||
\(546\) | −4.20539 | −0.179974 | ||||||||
\(547\) | −4.95564 | −0.211888 | −0.105944 | − | 0.994372i | \(-0.533786\pi\) | ||||
−0.105944 | + | 0.994372i | \(0.533786\pi\) | |||||||
\(548\) | 31.8694 | 1.36139 | ||||||||
\(549\) | 6.84133 | 0.291981 | ||||||||
\(550\) | −29.7402 | −1.26813 | ||||||||
\(551\) | −0.728584 | −0.0310387 | ||||||||
\(552\) | −2.97358 | −0.126564 | ||||||||
\(553\) | −22.8359 | −0.971081 | ||||||||
\(554\) | 2.06284 | 0.0876418 | ||||||||
\(555\) | 11.5257 | 0.489238 | ||||||||
\(556\) | 25.2137 | 1.06930 | ||||||||
\(557\) | 24.0526 | 1.01914 | 0.509571 | − | 0.860429i | \(-0.329804\pi\) | ||||
0.509571 | + | 0.860429i | \(0.329804\pi\) | |||||||
\(558\) | −14.3869 | −0.609044 | ||||||||
\(559\) | −1.50267 | −0.0635562 | ||||||||
\(560\) | 16.9551 | 0.716484 | ||||||||
\(561\) | 25.8316 | 1.09061 | ||||||||
\(562\) | −45.8261 | −1.93306 | ||||||||
\(563\) | −6.38648 | −0.269158 | −0.134579 | − | 0.990903i | \(-0.542968\pi\) | ||||
−0.134579 | + | 0.990903i | \(0.542968\pi\) | |||||||
\(564\) | −17.5544 | −0.739174 | ||||||||
\(565\) | −16.8477 | −0.708787 | ||||||||
\(566\) | −25.9249 | −1.08970 | ||||||||
\(567\) | 2.25881 | 0.0948612 | ||||||||
\(568\) | −4.72030 | −0.198059 | ||||||||
\(569\) | 14.4713 | 0.606668 | 0.303334 | − | 0.952884i | \(-0.401900\pi\) | ||||
0.303334 | + | 0.952884i | \(0.401900\pi\) | |||||||
\(570\) | 24.1270 | 1.01057 | ||||||||
\(571\) | −43.1996 | −1.80785 | −0.903924 | − | 0.427693i | \(-0.859326\pi\) | ||||
−0.903924 | + | 0.427693i | \(0.859326\pi\) | |||||||
\(572\) | 9.23258 | 0.386034 | ||||||||
\(573\) | 13.8101 | 0.576924 | ||||||||
\(574\) | 21.3927 | 0.892915 | ||||||||
\(575\) | 7.59024 | 0.316535 | ||||||||
\(576\) | −3.31176 | −0.137990 | ||||||||
\(577\) | 1.30090 | 0.0541572 | 0.0270786 | − | 0.999633i | \(-0.491380\pi\) | ||||
0.0270786 | + | 0.999633i | \(0.491380\pi\) | |||||||
\(578\) | −0.319686 | −0.0132972 | ||||||||
\(579\) | 7.34299 | 0.305164 | ||||||||
\(580\) | 0.203046 | 0.00843104 | ||||||||
\(581\) | −38.7341 | −1.60696 | ||||||||
\(582\) | 18.6769 | 0.774184 | ||||||||
\(583\) | 68.2618 | 2.82711 | ||||||||
\(584\) | 0.129489 | 0.00535828 | ||||||||
\(585\) | −1.56946 | −0.0648892 | ||||||||
\(586\) | 5.21007 | 0.215226 | ||||||||
\(587\) | −17.4285 | −0.719352 | −0.359676 | − | 0.933077i | \(-0.617113\pi\) | ||||
−0.359676 | + | 0.933077i | \(0.617113\pi\) | |||||||
\(588\) | 2.78249 | 0.114748 | ||||||||
\(589\) | −63.8066 | −2.62911 | ||||||||
\(590\) | −19.9075 | −0.819580 | ||||||||
\(591\) | −7.11104 | −0.292509 | ||||||||
\(592\) | −35.1226 | −1.44353 | ||||||||
\(593\) | 16.3440 | 0.671166 | 0.335583 | − | 0.942011i | \(-0.391067\pi\) | ||||
0.335583 | + | 0.942011i | \(0.391067\pi\) | |||||||
\(594\) | −11.7235 | −0.481022 | ||||||||
\(595\) | 14.5429 | 0.596200 | ||||||||
\(596\) | 4.25922 | 0.174465 | ||||||||
\(597\) | −2.75212 | −0.112637 | ||||||||
\(598\) | −5.57053 | −0.227796 | ||||||||
\(599\) | 6.85876 | 0.280242 | 0.140121 | − | 0.990134i | \(-0.455251\pi\) | ||||
0.140121 | + | 0.990134i | \(0.455251\pi\) | |||||||
\(600\) | −2.52113 | −0.102925 | ||||||||
\(601\) | −25.9055 | −1.05671 | −0.528354 | − | 0.849024i | \(-0.677191\pi\) | ||||
−0.528354 | + | 0.849024i | \(0.677191\pi\) | |||||||
\(602\) | −6.31932 | −0.257556 | ||||||||
\(603\) | 4.62221 | 0.188231 | ||||||||
\(604\) | −17.6279 | −0.717270 | ||||||||
\(605\) | −44.9680 | −1.82821 | ||||||||
\(606\) | −26.6349 | −1.08197 | ||||||||
\(607\) | −29.5102 | −1.19778 | −0.598892 | − | 0.800830i | \(-0.704392\pi\) | ||||
−0.598892 | + | 0.800830i | \(0.704392\pi\) | |||||||
\(608\) | −57.1107 | −2.31614 | ||||||||
\(609\) | 0.199312 | 0.00807654 | ||||||||
\(610\) | −19.9902 | −0.809379 | ||||||||
\(611\) | 11.9728 | 0.484367 | ||||||||
\(612\) | −6.01466 | −0.243128 | ||||||||
\(613\) | 21.8619 | 0.882996 | 0.441498 | − | 0.897262i | \(-0.354447\pi\) | ||||
0.441498 | + | 0.897262i | \(0.354447\pi\) | |||||||
\(614\) | 15.4671 | 0.624200 | ||||||||
\(615\) | 7.98380 | 0.321938 | ||||||||
\(616\) | −14.1359 | −0.569550 | ||||||||
\(617\) | 36.7047 | 1.47767 | 0.738837 | − | 0.673884i | \(-0.235375\pi\) | ||||
0.738837 | + | 0.673884i | \(0.235375\pi\) | |||||||
\(618\) | 1.86177 | 0.0748914 | ||||||||
\(619\) | −15.4592 | −0.621357 | −0.310679 | − | 0.950515i | \(-0.600556\pi\) | ||||
−0.310679 | + | 0.950515i | \(0.600556\pi\) | |||||||
\(620\) | 17.7820 | 0.714143 | ||||||||
\(621\) | 2.99206 | 0.120067 | ||||||||
\(622\) | −40.2257 | −1.61290 | ||||||||
\(623\) | −14.6776 | −0.588046 | ||||||||
\(624\) | 4.78266 | 0.191460 | ||||||||
\(625\) | −5.88069 | −0.235228 | ||||||||
\(626\) | 10.5047 | 0.419854 | ||||||||
\(627\) | −51.9946 | −2.07646 | ||||||||
\(628\) | 4.58787 | 0.183076 | ||||||||
\(629\) | −30.1257 | −1.20119 | ||||||||
\(630\) | −6.60020 | −0.262958 | ||||||||
\(631\) | 28.8182 | 1.14724 | 0.573618 | − | 0.819123i | \(-0.305539\pi\) | ||||
0.573618 | + | 0.819123i | \(0.305539\pi\) | |||||||
\(632\) | 10.0473 | 0.399659 | ||||||||
\(633\) | 7.77779 | 0.309140 | ||||||||
\(634\) | −23.1436 | −0.919151 | ||||||||
\(635\) | −3.80725 | −0.151086 | ||||||||
\(636\) | −15.8941 | −0.630244 | ||||||||
\(637\) | −1.89776 | −0.0751921 | ||||||||
\(638\) | −1.03446 | −0.0409545 | ||||||||
\(639\) | 4.74962 | 0.187892 | ||||||||
\(640\) | −12.0337 | −0.475674 | ||||||||
\(641\) | 13.6517 | 0.539212 | 0.269606 | − | 0.962971i | \(-0.413107\pi\) | ||||
0.269606 | + | 0.962971i | \(0.413107\pi\) | |||||||
\(642\) | −26.4123 | −1.04241 | ||||||||
\(643\) | 42.1100 | 1.66066 | 0.830329 | − | 0.557274i | \(-0.188153\pi\) | ||||
0.830329 | + | 0.557274i | \(0.188153\pi\) | |||||||
\(644\) | −9.90927 | −0.390480 | ||||||||
\(645\) | −2.35838 | −0.0928612 | ||||||||
\(646\) | −63.0627 | −2.48117 | ||||||||
\(647\) | 38.2621 | 1.50424 | 0.752120 | − | 0.659026i | \(-0.229031\pi\) | ||||
0.752120 | + | 0.659026i | \(0.229031\pi\) | |||||||
\(648\) | −0.993826 | −0.0390412 | ||||||||
\(649\) | 42.9015 | 1.68403 | ||||||||
\(650\) | −4.72293 | −0.185249 | ||||||||
\(651\) | 17.4550 | 0.684115 | ||||||||
\(652\) | 27.5396 | 1.07853 | ||||||||
\(653\) | −13.9046 | −0.544130 | −0.272065 | − | 0.962279i | \(-0.587707\pi\) | ||||
−0.272065 | + | 0.962279i | \(0.587707\pi\) | |||||||
\(654\) | −0.746047 | −0.0291727 | ||||||||
\(655\) | 9.90426 | 0.386991 | ||||||||
\(656\) | −24.3293 | −0.949898 | ||||||||
\(657\) | −0.130293 | −0.00508322 | ||||||||
\(658\) | 50.3503 | 1.96286 | ||||||||
\(659\) | −44.7137 | −1.74180 | −0.870899 | − | 0.491462i | \(-0.836463\pi\) | ||||
−0.870899 | + | 0.491462i | \(0.836463\pi\) | |||||||
\(660\) | 14.4902 | 0.564029 | ||||||||
\(661\) | −48.5856 | −1.88976 | −0.944880 | − | 0.327417i | \(-0.893822\pi\) | ||||
−0.944880 | + | 0.327417i | \(0.893822\pi\) | |||||||
\(662\) | 35.3479 | 1.37384 | ||||||||
\(663\) | 4.10223 | 0.159317 | ||||||||
\(664\) | 17.0421 | 0.661362 | ||||||||
\(665\) | −29.2723 | −1.13513 | ||||||||
\(666\) | 13.6723 | 0.529792 | ||||||||
\(667\) | 0.264012 | 0.0102226 | ||||||||
\(668\) | 13.7171 | 0.530732 | ||||||||
\(669\) | 14.4522 | 0.558755 | ||||||||
\(670\) | −13.5060 | −0.521782 | ||||||||
\(671\) | 43.0796 | 1.66307 | ||||||||
\(672\) | 15.6233 | 0.602680 | ||||||||
\(673\) | −31.2441 | −1.20437 | −0.602187 | − | 0.798355i | \(-0.705704\pi\) | ||||
−0.602187 | + | 0.798355i | \(0.705704\pi\) | |||||||
\(674\) | −62.5827 | −2.41059 | ||||||||
\(675\) | 2.53680 | 0.0976413 | ||||||||
\(676\) | 1.46619 | 0.0563921 | ||||||||
\(677\) | −5.43786 | −0.208994 | −0.104497 | − | 0.994525i | \(-0.533323\pi\) | ||||
−0.104497 | + | 0.994525i | \(0.533323\pi\) | |||||||
\(678\) | −19.9856 | −0.767541 | ||||||||
\(679\) | −22.6600 | −0.869610 | ||||||||
\(680\) | −6.39853 | −0.245373 | ||||||||
\(681\) | 3.65605 | 0.140100 | ||||||||
\(682\) | −90.5937 | −3.46901 | ||||||||
\(683\) | −15.9902 | −0.611848 | −0.305924 | − | 0.952056i | \(-0.598965\pi\) | ||||
−0.305924 | + | 0.952056i | \(0.598965\pi\) | |||||||
\(684\) | 12.1065 | 0.462902 | ||||||||
\(685\) | −34.1140 | −1.30343 | ||||||||
\(686\) | −37.4186 | −1.42865 | ||||||||
\(687\) | 7.00073 | 0.267095 | ||||||||
\(688\) | 7.18677 | 0.273993 | ||||||||
\(689\) | 10.8404 | 0.412987 | ||||||||
\(690\) | −8.74272 | −0.332830 | ||||||||
\(691\) | 1.91968 | 0.0730280 | 0.0365140 | − | 0.999333i | \(-0.488375\pi\) | ||||
0.0365140 | + | 0.999333i | \(0.488375\pi\) | |||||||
\(692\) | 14.2193 | 0.540536 | ||||||||
\(693\) | 14.2237 | 0.540313 | ||||||||
\(694\) | 47.6283 | 1.80795 | ||||||||
\(695\) | −26.9896 | −1.02377 | ||||||||
\(696\) | −0.0876928 | −0.00332399 | ||||||||
\(697\) | −20.8679 | −0.790429 | ||||||||
\(698\) | −55.9926 | −2.11935 | ||||||||
\(699\) | 0.911437 | 0.0344737 | ||||||||
\(700\) | −8.40150 | −0.317547 | ||||||||
\(701\) | 7.69884 | 0.290781 | 0.145391 | − | 0.989374i | \(-0.453556\pi\) | ||||
0.145391 | + | 0.989374i | \(0.453556\pi\) | |||||||
\(702\) | −1.86177 | −0.0702680 | ||||||||
\(703\) | 60.6377 | 2.28699 | ||||||||
\(704\) | −20.8541 | −0.785967 | ||||||||
\(705\) | 18.7908 | 0.707703 | ||||||||
\(706\) | −30.9979 | −1.16662 | ||||||||
\(707\) | 32.3151 | 1.21534 | ||||||||
\(708\) | −9.98923 | −0.375418 | ||||||||
\(709\) | 41.3316 | 1.55224 | 0.776120 | − | 0.630586i | \(-0.217185\pi\) | ||||
0.776120 | + | 0.630586i | \(0.217185\pi\) | |||||||
\(710\) | −13.8783 | −0.520843 | ||||||||
\(711\) | −10.1097 | −0.379143 | ||||||||
\(712\) | 6.45781 | 0.242017 | ||||||||
\(713\) | 23.1212 | 0.865894 | ||||||||
\(714\) | 17.2515 | 0.645621 | ||||||||
\(715\) | −9.88285 | −0.369598 | ||||||||
\(716\) | 4.17196 | 0.155913 | ||||||||
\(717\) | 5.55401 | 0.207418 | ||||||||
\(718\) | −27.1878 | −1.01464 | ||||||||
\(719\) | 16.2299 | 0.605272 | 0.302636 | − | 0.953106i | \(-0.402133\pi\) | ||||
0.302636 | + | 0.953106i | \(0.402133\pi\) | |||||||
\(720\) | 7.50620 | 0.279740 | ||||||||
\(721\) | −2.25881 | −0.0841226 | ||||||||
\(722\) | 91.5605 | 3.40753 | ||||||||
\(723\) | 11.5522 | 0.429630 | ||||||||
\(724\) | −7.09344 | −0.263626 | ||||||||
\(725\) | 0.223841 | 0.00831323 | ||||||||
\(726\) | −53.3432 | −1.97975 | ||||||||
\(727\) | −14.9840 | −0.555728 | −0.277864 | − | 0.960620i | \(-0.589626\pi\) | ||||
−0.277864 | + | 0.960620i | \(0.589626\pi\) | |||||||
\(728\) | −2.24487 | −0.0832003 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0.380713 | 0.0140908 | ||||||||
\(731\) | 6.16430 | 0.227995 | ||||||||
\(732\) | −10.0307 | −0.370746 | ||||||||
\(733\) | 4.13745 | 0.152820 | 0.0764101 | − | 0.997076i | \(-0.475654\pi\) | ||||
0.0764101 | + | 0.997076i | \(0.475654\pi\) | |||||||
\(734\) | 50.0682 | 1.84805 | ||||||||
\(735\) | −2.97846 | −0.109862 | ||||||||
\(736\) | 20.6948 | 0.762820 | ||||||||
\(737\) | 29.1059 | 1.07213 | ||||||||
\(738\) | 9.47078 | 0.348624 | ||||||||
\(739\) | 41.1580 | 1.51402 | 0.757011 | − | 0.653402i | \(-0.226659\pi\) | ||||
0.757011 | + | 0.653402i | \(0.226659\pi\) | |||||||
\(740\) | −16.8989 | −0.621215 | ||||||||
\(741\) | −8.25707 | −0.303331 | ||||||||
\(742\) | 45.5882 | 1.67360 | ||||||||
\(743\) | 49.6684 | 1.82216 | 0.911079 | − | 0.412232i | \(-0.135251\pi\) | ||||
0.911079 | + | 0.412232i | \(0.135251\pi\) | |||||||
\(744\) | −7.67980 | −0.281555 | ||||||||
\(745\) | −4.55921 | −0.167036 | ||||||||
\(746\) | −30.5420 | −1.11822 | ||||||||
\(747\) | −17.1480 | −0.627412 | ||||||||
\(748\) | −37.8742 | −1.38482 | ||||||||
\(749\) | 32.0450 | 1.17090 | ||||||||
\(750\) | −22.0223 | −0.804142 | ||||||||
\(751\) | 27.8496 | 1.01625 | 0.508123 | − | 0.861284i | \(-0.330339\pi\) | ||||
0.508123 | + | 0.861284i | \(0.330339\pi\) | |||||||
\(752\) | −57.2618 | −2.08812 | ||||||||
\(753\) | 17.2837 | 0.629852 | ||||||||
\(754\) | −0.164278 | −0.00598266 | ||||||||
\(755\) | 18.8695 | 0.686731 | ||||||||
\(756\) | −3.31186 | −0.120451 | ||||||||
\(757\) | 14.8108 | 0.538307 | 0.269154 | − | 0.963097i | \(-0.413256\pi\) | ||||
0.269154 | + | 0.963097i | \(0.413256\pi\) | |||||||
\(758\) | 40.8662 | 1.48433 | ||||||||
\(759\) | 18.8409 | 0.683882 | ||||||||
\(760\) | 12.8791 | 0.467175 | ||||||||
\(761\) | −31.3382 | −1.13601 | −0.568004 | − | 0.823026i | \(-0.692284\pi\) | ||||
−0.568004 | + | 0.823026i | \(0.692284\pi\) | |||||||
\(762\) | −4.51635 | −0.163610 | ||||||||
\(763\) | 0.905149 | 0.0327686 | ||||||||
\(764\) | −20.2482 | −0.732555 | ||||||||
\(765\) | 6.43829 | 0.232777 | ||||||||
\(766\) | −24.8014 | −0.896110 | ||||||||
\(767\) | 6.81304 | 0.246005 | ||||||||
\(768\) | −20.8985 | −0.754109 | ||||||||
\(769\) | −32.7375 | −1.18055 | −0.590273 | − | 0.807204i | \(-0.700980\pi\) | ||||
−0.590273 | + | 0.807204i | \(0.700980\pi\) | |||||||
\(770\) | −41.5613 | −1.49776 | ||||||||
\(771\) | 9.43669 | 0.339854 | ||||||||
\(772\) | −10.7662 | −0.387486 | ||||||||
\(773\) | 31.6059 | 1.13679 | 0.568393 | − | 0.822757i | \(-0.307565\pi\) | ||||
0.568393 | + | 0.822757i | \(0.307565\pi\) | |||||||
\(774\) | −2.79763 | −0.100559 | ||||||||
\(775\) | 19.6031 | 0.704164 | ||||||||
\(776\) | 9.96987 | 0.357897 | ||||||||
\(777\) | −16.5881 | −0.595095 | ||||||||
\(778\) | 15.7931 | 0.566209 | ||||||||
\(779\) | 42.0035 | 1.50493 | ||||||||
\(780\) | 2.30113 | 0.0823938 | ||||||||
\(781\) | 29.9083 | 1.07020 | ||||||||
\(782\) | 22.8516 | 0.817171 | ||||||||
\(783\) | 0.0882376 | 0.00315335 | ||||||||
\(784\) | 9.07636 | 0.324156 | ||||||||
\(785\) | −4.91100 | −0.175281 | ||||||||
\(786\) | 11.7489 | 0.419070 | ||||||||
\(787\) | −16.4804 | −0.587463 | −0.293732 | − | 0.955888i | \(-0.594897\pi\) | ||||
−0.293732 | + | 0.955888i | \(0.594897\pi\) | |||||||
\(788\) | 10.4262 | 0.371417 | ||||||||
\(789\) | −25.6603 | −0.913533 | ||||||||
\(790\) | 29.5403 | 1.05100 | ||||||||
\(791\) | 24.2477 | 0.862148 | ||||||||
\(792\) | −6.25809 | −0.222372 | ||||||||
\(793\) | 6.84133 | 0.242943 | ||||||||
\(794\) | −49.9115 | −1.77129 | ||||||||
\(795\) | 17.0136 | 0.603410 | ||||||||
\(796\) | 4.03514 | 0.143022 | ||||||||
\(797\) | −17.5556 | −0.621851 | −0.310925 | − | 0.950434i | \(-0.600639\pi\) | ||||
−0.310925 | + | 0.950434i | \(0.600639\pi\) | |||||||
\(798\) | −34.7242 | −1.22923 | ||||||||
\(799\) | −49.1151 | −1.73757 | ||||||||
\(800\) | 17.5459 | 0.620343 | ||||||||
\(801\) | −6.49793 | −0.229593 | ||||||||
\(802\) | −66.0255 | −2.33144 | ||||||||
\(803\) | −0.820452 | −0.0289531 | ||||||||
\(804\) | −6.77706 | −0.239008 | ||||||||
\(805\) | 10.6072 | 0.373854 | ||||||||
\(806\) | −14.3869 | −0.506755 | ||||||||
\(807\) | −30.8547 | −1.08614 | ||||||||
\(808\) | −14.2179 | −0.500184 | ||||||||
\(809\) | −26.0745 | −0.916732 | −0.458366 | − | 0.888764i | \(-0.651565\pi\) | ||||
−0.458366 | + | 0.888764i | \(0.651565\pi\) | |||||||
\(810\) | −2.92198 | −0.102668 | ||||||||
\(811\) | −43.6580 | −1.53304 | −0.766521 | − | 0.642220i | \(-0.778014\pi\) | ||||
−0.766521 | + | 0.642220i | \(0.778014\pi\) | |||||||
\(812\) | −0.292230 | −0.0102553 | ||||||||
\(813\) | 27.8837 | 0.977922 | ||||||||
\(814\) | 86.0944 | 3.01761 | ||||||||
\(815\) | −29.4793 | −1.03261 | ||||||||
\(816\) | −19.6196 | −0.686823 | ||||||||
\(817\) | −12.4077 | −0.434089 | ||||||||
\(818\) | −19.9645 | −0.698041 | ||||||||
\(819\) | 2.25881 | 0.0789293 | ||||||||
\(820\) | −11.7058 | −0.408784 | ||||||||
\(821\) | 35.9072 | 1.25317 | 0.626585 | − | 0.779353i | \(-0.284452\pi\) | ||||
0.626585 | + | 0.779353i | \(0.284452\pi\) | |||||||
\(822\) | −40.4677 | −1.41147 | ||||||||
\(823\) | −21.9078 | −0.763657 | −0.381828 | − | 0.924233i | \(-0.624705\pi\) | ||||
−0.381828 | + | 0.924233i | \(0.624705\pi\) | |||||||
\(824\) | 0.993826 | 0.0346216 | ||||||||
\(825\) | 15.9741 | 0.556148 | ||||||||
\(826\) | 28.6515 | 0.996914 | ||||||||
\(827\) | −8.38794 | −0.291677 | −0.145839 | − | 0.989308i | \(-0.546588\pi\) | ||||
−0.145839 | + | 0.989308i | \(0.546588\pi\) | |||||||
\(828\) | −4.38694 | −0.152457 | ||||||||
\(829\) | −43.2560 | −1.50234 | −0.751171 | − | 0.660108i | \(-0.770510\pi\) | ||||
−0.751171 | + | 0.660108i | \(0.770510\pi\) | |||||||
\(830\) | 50.1060 | 1.73920 | ||||||||
\(831\) | −1.10800 | −0.0384361 | ||||||||
\(832\) | −3.31176 | −0.114815 | ||||||||
\(833\) | 7.78506 | 0.269736 | ||||||||
\(834\) | −32.0164 | −1.10864 | ||||||||
\(835\) | −14.6833 | −0.508135 | ||||||||
\(836\) | 76.2341 | 2.63661 | ||||||||
\(837\) | 7.72751 | 0.267102 | ||||||||
\(838\) | −26.7791 | −0.925070 | ||||||||
\(839\) | 53.5221 | 1.84779 | 0.923894 | − | 0.382648i | \(-0.124988\pi\) | ||||
0.923894 | + | 0.382648i | \(0.124988\pi\) | |||||||
\(840\) | −3.52323 | −0.121563 | ||||||||
\(841\) | −28.9922 | −0.999732 | ||||||||
\(842\) | 4.92821 | 0.169837 | ||||||||
\(843\) | 24.6142 | 0.847759 | ||||||||
\(844\) | −11.4038 | −0.392533 | ||||||||
\(845\) | −1.56946 | −0.0539911 | ||||||||
\(846\) | 22.2906 | 0.766366 | ||||||||
\(847\) | 64.7192 | 2.22378 | ||||||||
\(848\) | −51.8461 | −1.78040 | ||||||||
\(849\) | 13.9248 | 0.477900 | ||||||||
\(850\) | 19.3746 | 0.664542 | ||||||||
\(851\) | −21.9729 | −0.753220 | ||||||||
\(852\) | −6.96387 | −0.238578 | ||||||||
\(853\) | −24.2736 | −0.831113 | −0.415557 | − | 0.909567i | \(-0.636413\pi\) | ||||
−0.415557 | + | 0.909567i | \(0.636413\pi\) | |||||||
\(854\) | 28.7705 | 0.984505 | ||||||||
\(855\) | −12.9591 | −0.443193 | ||||||||
\(856\) | −14.0991 | −0.481897 | ||||||||
\(857\) | −50.6639 | −1.73065 | −0.865323 | − | 0.501214i | \(-0.832887\pi\) | ||||
−0.865323 | + | 0.501214i | \(0.832887\pi\) | |||||||
\(858\) | −11.7235 | −0.400235 | ||||||||
\(859\) | −11.3242 | −0.386377 | −0.193188 | − | 0.981162i | \(-0.561883\pi\) | ||||
−0.193188 | + | 0.981162i | \(0.561883\pi\) | |||||||
\(860\) | 3.45784 | 0.117912 | ||||||||
\(861\) | −11.4905 | −0.391596 | ||||||||
\(862\) | 3.47243 | 0.118271 | ||||||||
\(863\) | 34.7110 | 1.18158 | 0.590788 | − | 0.806827i | \(-0.298817\pi\) | ||||
0.590788 | + | 0.806827i | \(0.298817\pi\) | |||||||
\(864\) | 6.91658 | 0.235307 | ||||||||
\(865\) | −15.2208 | −0.517522 | ||||||||
\(866\) | 75.9749 | 2.58173 | ||||||||
\(867\) | 0.171710 | 0.00583159 | ||||||||
\(868\) | −25.5924 | −0.868663 | ||||||||
\(869\) | −63.6605 | −2.15953 | ||||||||
\(870\) | −0.257828 | −0.00874119 | ||||||||
\(871\) | 4.62221 | 0.156618 | ||||||||
\(872\) | −0.398244 | −0.0134863 | ||||||||
\(873\) | −10.0318 | −0.339525 | ||||||||
\(874\) | −45.9963 | −1.55585 | ||||||||
\(875\) | 26.7188 | 0.903261 | ||||||||
\(876\) | 0.191035 | 0.00645447 | ||||||||
\(877\) | −11.2275 | −0.379127 | −0.189564 | − | 0.981868i | \(-0.560707\pi\) | ||||
−0.189564 | + | 0.981868i | \(0.560707\pi\) | |||||||
\(878\) | −39.6880 | −1.33940 | ||||||||
\(879\) | −2.79845 | −0.0943892 | ||||||||
\(880\) | 47.2663 | 1.59335 | ||||||||
\(881\) | −48.5663 | −1.63624 | −0.818120 | − | 0.575047i | \(-0.804984\pi\) | ||||
−0.818120 | + | 0.575047i | \(0.804984\pi\) | |||||||
\(882\) | −3.53320 | −0.118969 | ||||||||
\(883\) | 10.5796 | 0.356033 | 0.178016 | − | 0.984028i | \(-0.443032\pi\) | ||||
0.178016 | + | 0.984028i | \(0.443032\pi\) | |||||||
\(884\) | −6.01466 | −0.202295 | ||||||||
\(885\) | 10.6928 | 0.359434 | ||||||||
\(886\) | −35.5189 | −1.19328 | ||||||||
\(887\) | 9.40046 | 0.315637 | 0.157818 | − | 0.987468i | \(-0.449554\pi\) | ||||
0.157818 | + | 0.987468i | \(0.449554\pi\) | |||||||
\(888\) | 7.29838 | 0.244918 | ||||||||
\(889\) | 5.47950 | 0.183777 | ||||||||
\(890\) | 18.9868 | 0.636439 | ||||||||
\(891\) | 6.29697 | 0.210957 | ||||||||
\(892\) | −21.1897 | −0.709485 | ||||||||
\(893\) | 98.8602 | 3.30823 | ||||||||
\(894\) | −5.40836 | −0.180883 | ||||||||
\(895\) | −4.46580 | −0.149275 | ||||||||
\(896\) | 17.3193 | 0.578596 | ||||||||
\(897\) | 2.99206 | 0.0999019 | ||||||||
\(898\) | 32.8206 | 1.09524 | ||||||||
\(899\) | 0.681857 | 0.0227412 | ||||||||
\(900\) | −3.71943 | −0.123981 | ||||||||
\(901\) | −44.4699 | −1.48151 | ||||||||
\(902\) | 59.6372 | 1.98570 | ||||||||
\(903\) | 3.39425 | 0.112954 | ||||||||
\(904\) | −10.6684 | −0.354826 | ||||||||
\(905\) | 7.59304 | 0.252401 | ||||||||
\(906\) | 22.3839 | 0.743656 | ||||||||
\(907\) | 48.2415 | 1.60183 | 0.800917 | − | 0.598775i | \(-0.204346\pi\) | ||||
0.800917 | + | 0.598775i | \(0.204346\pi\) | |||||||
\(908\) | −5.36048 | −0.177894 | ||||||||
\(909\) | 14.3062 | 0.474508 | ||||||||
\(910\) | −6.60020 | −0.218794 | ||||||||
\(911\) | −5.40615 | −0.179114 | −0.0895569 | − | 0.995982i | \(-0.528545\pi\) | ||||
−0.0895569 | + | 0.995982i | \(0.528545\pi\) | |||||||
\(912\) | 39.4908 | 1.30767 | ||||||||
\(913\) | −107.980 | −3.57363 | ||||||||
\(914\) | 56.5752 | 1.87134 | ||||||||
\(915\) | 10.7372 | 0.354960 | ||||||||
\(916\) | −10.2644 | −0.339146 | ||||||||
\(917\) | −14.2545 | −0.470725 | ||||||||
\(918\) | 7.63742 | 0.252072 | ||||||||
\(919\) | 5.22341 | 0.172304 | 0.0861522 | − | 0.996282i | \(-0.472543\pi\) | ||||
0.0861522 | + | 0.996282i | \(0.472543\pi\) | |||||||
\(920\) | −4.66692 | −0.153864 | ||||||||
\(921\) | −8.30771 | −0.273748 | ||||||||
\(922\) | −34.4115 | −1.13328 | ||||||||
\(923\) | 4.74962 | 0.156336 | ||||||||
\(924\) | −20.8547 | −0.686068 | ||||||||
\(925\) | −18.6295 | −0.612535 | ||||||||
\(926\) | −2.67865 | −0.0880258 | ||||||||
\(927\) | −1.00000 | −0.0328443 | ||||||||
\(928\) | 0.610302 | 0.0200341 | ||||||||
\(929\) | −26.5938 | −0.872515 | −0.436258 | − | 0.899822i | \(-0.643696\pi\) | ||||
−0.436258 | + | 0.899822i | \(0.643696\pi\) | |||||||
\(930\) | −22.5796 | −0.740414 | ||||||||
\(931\) | −15.6700 | −0.513562 | ||||||||
\(932\) | −1.33634 | −0.0437734 | ||||||||
\(933\) | 21.6061 | 0.707353 | ||||||||
\(934\) | 8.01112 | 0.262132 | ||||||||
\(935\) | 40.5417 | 1.32586 | ||||||||
\(936\) | −0.993826 | −0.0324842 | ||||||||
\(937\) | 35.2974 | 1.15311 | 0.576557 | − | 0.817057i | \(-0.304396\pi\) | ||||
0.576557 | + | 0.817057i | \(0.304396\pi\) | |||||||
\(938\) | 19.4382 | 0.634680 | ||||||||
\(939\) | −5.64234 | −0.184131 | ||||||||
\(940\) | −27.5510 | −0.898613 | ||||||||
\(941\) | −14.9835 | −0.488449 | −0.244224 | − | 0.969719i | \(-0.578533\pi\) | ||||
−0.244224 | + | 0.969719i | \(0.578533\pi\) | |||||||
\(942\) | −5.82567 | −0.189811 | ||||||||
\(943\) | −15.2205 | −0.495648 | ||||||||
\(944\) | −32.5845 | −1.06053 | ||||||||
\(945\) | 3.54512 | 0.115323 | ||||||||
\(946\) | −17.6166 | −0.572765 | ||||||||
\(947\) | 39.0354 | 1.26848 | 0.634240 | − | 0.773137i | \(-0.281313\pi\) | ||||
0.634240 | + | 0.773137i | \(0.281313\pi\) | |||||||
\(948\) | 14.8228 | 0.481421 | ||||||||
\(949\) | −0.130293 | −0.00422949 | ||||||||
\(950\) | −38.9976 | −1.26525 | ||||||||
\(951\) | 12.4310 | 0.403102 | ||||||||
\(952\) | 9.20896 | 0.298464 | ||||||||
\(953\) | −17.0114 | −0.551053 | −0.275527 | − | 0.961293i | \(-0.588852\pi\) | ||||
−0.275527 | + | 0.961293i | \(0.588852\pi\) | |||||||
\(954\) | 20.1824 | 0.653429 | ||||||||
\(955\) | 21.6743 | 0.701365 | ||||||||
\(956\) | −8.14326 | −0.263372 | ||||||||
\(957\) | 0.555630 | 0.0179610 | ||||||||
\(958\) | −69.7934 | −2.25492 | ||||||||
\(959\) | 49.0978 | 1.58545 | ||||||||
\(960\) | −5.19767 | −0.167754 | ||||||||
\(961\) | 28.7144 | 0.926271 | ||||||||
\(962\) | 13.6723 | 0.440814 | ||||||||
\(963\) | 14.1867 | 0.457159 | ||||||||
\(964\) | −16.9377 | −0.545527 | ||||||||
\(965\) | 11.5245 | 0.370988 | ||||||||
\(966\) | 12.5828 | 0.404844 | ||||||||
\(967\) | −1.49089 | −0.0479439 | −0.0239720 | − | 0.999713i | \(-0.507631\pi\) | ||||
−0.0239720 | + | 0.999713i | \(0.507631\pi\) | |||||||
\(968\) | −28.4750 | −0.915220 | ||||||||
\(969\) | 33.8724 | 1.08814 | ||||||||
\(970\) | 29.3127 | 0.941174 | ||||||||
\(971\) | 26.5605 | 0.852366 | 0.426183 | − | 0.904637i | \(-0.359858\pi\) | ||||
0.426183 | + | 0.904637i | \(0.359858\pi\) | |||||||
\(972\) | −1.46619 | −0.0470282 | ||||||||
\(973\) | 38.8442 | 1.24529 | ||||||||
\(974\) | −21.9593 | −0.703622 | ||||||||
\(975\) | 2.53680 | 0.0812425 | ||||||||
\(976\) | −32.7198 | −1.04733 | ||||||||
\(977\) | 4.51459 | 0.144434 | 0.0722172 | − | 0.997389i | \(-0.476993\pi\) | ||||
0.0722172 | + | 0.997389i | \(0.476993\pi\) | |||||||
\(978\) | −34.9698 | −1.11821 | ||||||||
\(979\) | −40.9173 | −1.30772 | ||||||||
\(980\) | 4.36700 | 0.139499 | ||||||||
\(981\) | 0.400719 | 0.0127940 | ||||||||
\(982\) | −43.5446 | −1.38956 | ||||||||
\(983\) | 28.9362 | 0.922922 | 0.461461 | − | 0.887160i | \(-0.347325\pi\) | ||||
0.461461 | + | 0.887160i | \(0.347325\pi\) | |||||||
\(984\) | 5.05556 | 0.161165 | ||||||||
\(985\) | −11.1605 | −0.355603 | ||||||||
\(986\) | 0.673907 | 0.0214616 | ||||||||
\(987\) | −27.0443 | −0.860829 | ||||||||
\(988\) | 12.1065 | 0.385158 | ||||||||
\(989\) | 4.49608 | 0.142967 | ||||||||
\(990\) | −18.3996 | −0.584778 | ||||||||
\(991\) | 2.53040 | 0.0803808 | 0.0401904 | − | 0.999192i | \(-0.487204\pi\) | ||||
0.0401904 | + | 0.999192i | \(0.487204\pi\) | |||||||
\(992\) | 53.4479 | 1.69697 | ||||||||
\(993\) | −18.9862 | −0.602508 | ||||||||
\(994\) | 19.9740 | 0.633538 | ||||||||
\(995\) | −4.31934 | −0.136932 | ||||||||
\(996\) | 25.1423 | 0.796663 | ||||||||
\(997\) | −11.3967 | −0.360936 | −0.180468 | − | 0.983581i | \(-0.557761\pi\) | ||||
−0.180468 | + | 0.983581i | \(0.557761\pi\) | |||||||
\(998\) | −31.4774 | −0.996399 | ||||||||
\(999\) | −7.34373 | −0.232345 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))