Newspace parameters
Level: | \( N \) | = | \( 5077 \) |
Weight: | \( k \) | = | \( 2 \) |
Character orbit: | \([\chi]\) | = | 5077.a (trivial) |
Newform invariants
Self dual: | Yes |
Analytic conductor: | \(40.5400491062\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.14 | ||
Character | \(\chi\) | = | 5077.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.46114 | −1.74029 | −0.870146 | − | 0.492795i | \(-0.835975\pi\) | ||||
−0.870146 | + | 0.492795i | \(0.835975\pi\) | |||||||
\(3\) | 2.54758 | 1.47085 | 0.735424 | − | 0.677607i | \(-0.236983\pi\) | ||||
0.735424 | + | 0.677607i | \(0.236983\pi\) | |||||||
\(4\) | 4.05723 | 2.02861 | ||||||||
\(5\) | 0.498025 | 0.222724 | 0.111362 | − | 0.993780i | \(-0.464479\pi\) | ||||
0.111362 | + | 0.993780i | \(0.464479\pi\) | |||||||
\(6\) | −6.26997 | −2.55970 | ||||||||
\(7\) | −4.84312 | −1.83053 | −0.915264 | − | 0.402854i | \(-0.868018\pi\) | ||||
−0.915264 | + | 0.402854i | \(0.868018\pi\) | |||||||
\(8\) | −5.06313 | −1.79009 | ||||||||
\(9\) | 3.49018 | 1.16339 | ||||||||
\(10\) | −1.22571 | −0.387604 | ||||||||
\(11\) | −3.11702 | −0.939818 | −0.469909 | − | 0.882715i | \(-0.655713\pi\) | ||||
−0.469909 | + | 0.882715i | \(0.655713\pi\) | |||||||
\(12\) | 10.3361 | 2.98378 | ||||||||
\(13\) | −3.68171 | −1.02112 | −0.510562 | − | 0.859841i | \(-0.670562\pi\) | ||||
−0.510562 | + | 0.859841i | \(0.670562\pi\) | |||||||
\(14\) | 11.9196 | 3.18565 | ||||||||
\(15\) | 1.26876 | 0.327593 | ||||||||
\(16\) | 4.34664 | 1.08666 | ||||||||
\(17\) | 1.96034 | 0.475453 | 0.237726 | − | 0.971332i | \(-0.423598\pi\) | ||||
0.237726 | + | 0.971332i | \(0.423598\pi\) | |||||||
\(18\) | −8.58983 | −2.02464 | ||||||||
\(19\) | −2.10999 | −0.484065 | −0.242033 | − | 0.970268i | \(-0.577814\pi\) | ||||
−0.242033 | + | 0.970268i | \(0.577814\pi\) | |||||||
\(20\) | 2.02060 | 0.451820 | ||||||||
\(21\) | −12.3383 | −2.69243 | ||||||||
\(22\) | 7.67144 | 1.63556 | ||||||||
\(23\) | −5.10126 | −1.06369 | −0.531844 | − | 0.846843i | \(-0.678501\pi\) | ||||
−0.531844 | + | 0.846843i | \(0.678501\pi\) | |||||||
\(24\) | −12.8988 | −2.63295 | ||||||||
\(25\) | −4.75197 | −0.950394 | ||||||||
\(26\) | 9.06122 | 1.77705 | ||||||||
\(27\) | 1.24877 | 0.240326 | ||||||||
\(28\) | −19.6497 | −3.71344 | ||||||||
\(29\) | −9.54412 | −1.77230 | −0.886149 | − | 0.463400i | \(-0.846629\pi\) | ||||
−0.886149 | + | 0.463400i | \(0.846629\pi\) | |||||||
\(30\) | −3.12260 | −0.570106 | ||||||||
\(31\) | 5.27605 | 0.947607 | 0.473803 | − | 0.880631i | \(-0.342881\pi\) | ||||
0.473803 | + | 0.880631i | \(0.342881\pi\) | |||||||
\(32\) | −0.571449 | −0.101019 | ||||||||
\(33\) | −7.94087 | −1.38233 | ||||||||
\(34\) | −4.82469 | −0.827427 | ||||||||
\(35\) | −2.41200 | −0.407702 | ||||||||
\(36\) | 14.1605 | 2.36008 | ||||||||
\(37\) | 10.8609 | 1.78552 | 0.892759 | − | 0.450534i | \(-0.148767\pi\) | ||||
0.892759 | + | 0.450534i | \(0.148767\pi\) | |||||||
\(38\) | 5.19299 | 0.842415 | ||||||||
\(39\) | −9.37947 | −1.50192 | ||||||||
\(40\) | −2.52157 | −0.398695 | ||||||||
\(41\) | 6.08868 | 0.950891 | 0.475446 | − | 0.879745i | \(-0.342287\pi\) | ||||
0.475446 | + | 0.879745i | \(0.342287\pi\) | |||||||
\(42\) | 30.3662 | 4.68561 | ||||||||
\(43\) | 6.41401 | 0.978128 | 0.489064 | − | 0.872248i | \(-0.337338\pi\) | ||||
0.489064 | + | 0.872248i | \(0.337338\pi\) | |||||||
\(44\) | −12.6465 | −1.90653 | ||||||||
\(45\) | 1.73820 | 0.259115 | ||||||||
\(46\) | 12.5549 | 1.85113 | ||||||||
\(47\) | −5.11266 | −0.745758 | −0.372879 | − | 0.927880i | \(-0.621629\pi\) | ||||
−0.372879 | + | 0.927880i | \(0.621629\pi\) | |||||||
\(48\) | 11.0734 | 1.59831 | ||||||||
\(49\) | 16.4559 | 2.35084 | ||||||||
\(50\) | 11.6953 | 1.65396 | ||||||||
\(51\) | 4.99414 | 0.699319 | ||||||||
\(52\) | −14.9375 | −2.07147 | ||||||||
\(53\) | 5.59624 | 0.768702 | 0.384351 | − | 0.923187i | \(-0.374425\pi\) | ||||
0.384351 | + | 0.923187i | \(0.374425\pi\) | |||||||
\(54\) | −3.07341 | −0.418238 | ||||||||
\(55\) | −1.55236 | −0.209320 | ||||||||
\(56\) | 24.5214 | 3.27681 | ||||||||
\(57\) | −5.37538 | −0.711986 | ||||||||
\(58\) | 23.4894 | 3.08432 | ||||||||
\(59\) | 5.97964 | 0.778483 | 0.389241 | − | 0.921136i | \(-0.372737\pi\) | ||||
0.389241 | + | 0.921136i | \(0.372737\pi\) | |||||||
\(60\) | 5.14765 | 0.664559 | ||||||||
\(61\) | −10.2278 | −1.30953 | −0.654767 | − | 0.755831i | \(-0.727233\pi\) | ||||
−0.654767 | + | 0.755831i | \(0.727233\pi\) | |||||||
\(62\) | −12.9851 | −1.64911 | ||||||||
\(63\) | −16.9034 | −2.12962 | ||||||||
\(64\) | −7.28687 | −0.910859 | ||||||||
\(65\) | −1.83359 | −0.227428 | ||||||||
\(66\) | 19.5436 | 2.40565 | ||||||||
\(67\) | 4.03308 | 0.492720 | 0.246360 | − | 0.969178i | \(-0.420765\pi\) | ||||
0.246360 | + | 0.969178i | \(0.420765\pi\) | |||||||
\(68\) | 7.95356 | 0.964511 | ||||||||
\(69\) | −12.9959 | −1.56452 | ||||||||
\(70\) | 5.93627 | 0.709520 | ||||||||
\(71\) | 14.4935 | 1.72006 | 0.860029 | − | 0.510245i | \(-0.170445\pi\) | ||||
0.860029 | + | 0.510245i | \(0.170445\pi\) | |||||||
\(72\) | −17.6712 | −2.08258 | ||||||||
\(73\) | 0.0705208 | 0.00825384 | 0.00412692 | − | 0.999991i | \(-0.498686\pi\) | ||||
0.00412692 | + | 0.999991i | \(0.498686\pi\) | |||||||
\(74\) | −26.7302 | −3.10732 | ||||||||
\(75\) | −12.1060 | −1.39789 | ||||||||
\(76\) | −8.56072 | −0.981982 | ||||||||
\(77\) | 15.0961 | 1.72036 | ||||||||
\(78\) | 23.0842 | 2.61377 | ||||||||
\(79\) | 3.20700 | 0.360815 | 0.180408 | − | 0.983592i | \(-0.442258\pi\) | ||||
0.180408 | + | 0.983592i | \(0.442258\pi\) | |||||||
\(80\) | 2.16474 | 0.242025 | ||||||||
\(81\) | −7.28919 | −0.809910 | ||||||||
\(82\) | −14.9851 | −1.65483 | ||||||||
\(83\) | −3.85529 | −0.423173 | −0.211587 | − | 0.977359i | \(-0.567863\pi\) | ||||
−0.211587 | + | 0.977359i | \(0.567863\pi\) | |||||||
\(84\) | −50.0591 | −5.46190 | ||||||||
\(85\) | 0.976300 | 0.105895 | ||||||||
\(86\) | −15.7858 | −1.70223 | ||||||||
\(87\) | −24.3144 | −2.60678 | ||||||||
\(88\) | 15.7819 | 1.68236 | ||||||||
\(89\) | 1.63395 | 0.173199 | 0.0865993 | − | 0.996243i | \(-0.472400\pi\) | ||||
0.0865993 | + | 0.996243i | \(0.472400\pi\) | |||||||
\(90\) | −4.27795 | −0.450936 | ||||||||
\(91\) | 17.8310 | 1.86920 | ||||||||
\(92\) | −20.6970 | −2.15781 | ||||||||
\(93\) | 13.4412 | 1.39379 | ||||||||
\(94\) | 12.5830 | 1.29784 | ||||||||
\(95\) | −1.05083 | −0.107813 | ||||||||
\(96\) | −1.45581 | −0.148583 | ||||||||
\(97\) | 9.03075 | 0.916934 | 0.458467 | − | 0.888712i | \(-0.348399\pi\) | ||||
0.458467 | + | 0.888712i | \(0.348399\pi\) | |||||||
\(98\) | −40.5002 | −4.09114 | ||||||||
\(99\) | −10.8790 | −1.09338 | ||||||||
\(100\) | −19.2798 | −1.92798 | ||||||||
\(101\) | 8.75427 | 0.871083 | 0.435541 | − | 0.900169i | \(-0.356557\pi\) | ||||
0.435541 | + | 0.900169i | \(0.356557\pi\) | |||||||
\(102\) | −12.2913 | −1.21702 | ||||||||
\(103\) | 4.69400 | 0.462514 | 0.231257 | − | 0.972893i | \(-0.425716\pi\) | ||||
0.231257 | + | 0.972893i | \(0.425716\pi\) | |||||||
\(104\) | 18.6410 | 1.82790 | ||||||||
\(105\) | −6.14476 | −0.599668 | ||||||||
\(106\) | −13.7731 | −1.33777 | ||||||||
\(107\) | 14.2147 | 1.37419 | 0.687095 | − | 0.726568i | \(-0.258886\pi\) | ||||
0.687095 | + | 0.726568i | \(0.258886\pi\) | |||||||
\(108\) | 5.06655 | 0.487529 | ||||||||
\(109\) | −10.9113 | −1.04511 | −0.522555 | − | 0.852606i | \(-0.675021\pi\) | ||||
−0.522555 | + | 0.852606i | \(0.675021\pi\) | |||||||
\(110\) | 3.82057 | 0.364277 | ||||||||
\(111\) | 27.6690 | 2.62623 | ||||||||
\(112\) | −21.0513 | −1.98916 | ||||||||
\(113\) | 2.90892 | 0.273648 | 0.136824 | − | 0.990595i | \(-0.456310\pi\) | ||||
0.136824 | + | 0.990595i | \(0.456310\pi\) | |||||||
\(114\) | 13.2296 | 1.23906 | ||||||||
\(115\) | −2.54056 | −0.236908 | ||||||||
\(116\) | −38.7227 | −3.59531 | ||||||||
\(117\) | −12.8498 | −1.18797 | ||||||||
\(118\) | −14.7168 | −1.35479 | ||||||||
\(119\) | −9.49418 | −0.870330 | ||||||||
\(120\) | −6.42390 | −0.586420 | ||||||||
\(121\) | −1.28417 | −0.116743 | ||||||||
\(122\) | 25.1720 | 2.27897 | ||||||||
\(123\) | 15.5114 | 1.39862 | ||||||||
\(124\) | 21.4061 | 1.92233 | ||||||||
\(125\) | −4.85673 | −0.434399 | ||||||||
\(126\) | 41.6016 | 3.70617 | ||||||||
\(127\) | 12.9759 | 1.15143 | 0.575713 | − | 0.817652i | \(-0.304725\pi\) | ||||
0.575713 | + | 0.817652i | \(0.304725\pi\) | |||||||
\(128\) | 19.0769 | 1.68618 | ||||||||
\(129\) | 16.3402 | 1.43868 | ||||||||
\(130\) | 4.51272 | 0.395791 | ||||||||
\(131\) | −4.12382 | −0.360300 | −0.180150 | − | 0.983639i | \(-0.557658\pi\) | ||||
−0.180150 | + | 0.983639i | \(0.557658\pi\) | |||||||
\(132\) | −32.2179 | −2.80421 | ||||||||
\(133\) | 10.2190 | 0.886095 | ||||||||
\(134\) | −9.92600 | −0.857476 | ||||||||
\(135\) | 0.621920 | 0.0535263 | ||||||||
\(136\) | −9.92548 | −0.851103 | ||||||||
\(137\) | 3.38638 | 0.289318 | 0.144659 | − | 0.989482i | \(-0.453792\pi\) | ||||
0.144659 | + | 0.989482i | \(0.453792\pi\) | |||||||
\(138\) | 31.9848 | 2.72272 | ||||||||
\(139\) | 5.81049 | 0.492839 | 0.246420 | − | 0.969163i | \(-0.420746\pi\) | ||||
0.246420 | + | 0.969163i | \(0.420746\pi\) | |||||||
\(140\) | −9.78602 | −0.827070 | ||||||||
\(141\) | −13.0249 | −1.09690 | ||||||||
\(142\) | −35.6705 | −2.99340 | ||||||||
\(143\) | 11.4760 | 0.959670 | ||||||||
\(144\) | 15.1706 | 1.26421 | ||||||||
\(145\) | −4.75321 | −0.394733 | ||||||||
\(146\) | −0.173562 | −0.0143641 | ||||||||
\(147\) | 41.9227 | 3.45772 | ||||||||
\(148\) | 44.0651 | 3.62213 | ||||||||
\(149\) | 5.66001 | 0.463686 | 0.231843 | − | 0.972753i | \(-0.425524\pi\) | ||||
0.231843 | + | 0.972753i | \(0.425524\pi\) | |||||||
\(150\) | 29.7947 | 2.43273 | ||||||||
\(151\) | 4.89829 | 0.398618 | 0.199309 | − | 0.979937i | \(-0.436130\pi\) | ||||
0.199309 | + | 0.979937i | \(0.436130\pi\) | |||||||
\(152\) | 10.6832 | 0.866520 | ||||||||
\(153\) | 6.84195 | 0.553139 | ||||||||
\(154\) | −37.1537 | −2.99393 | ||||||||
\(155\) | 2.62761 | 0.211054 | ||||||||
\(156\) | −38.0546 | −3.04681 | ||||||||
\(157\) | −17.0242 | −1.35868 | −0.679339 | − | 0.733825i | \(-0.737733\pi\) | ||||
−0.679339 | + | 0.733825i | \(0.737733\pi\) | |||||||
\(158\) | −7.89288 | −0.627924 | ||||||||
\(159\) | 14.2569 | 1.13064 | ||||||||
\(160\) | −0.284596 | −0.0224993 | ||||||||
\(161\) | 24.7061 | 1.94711 | ||||||||
\(162\) | 17.9397 | 1.40948 | ||||||||
\(163\) | 8.55783 | 0.670301 | 0.335151 | − | 0.942165i | \(-0.391213\pi\) | ||||
0.335151 | + | 0.942165i | \(0.391213\pi\) | |||||||
\(164\) | 24.7031 | 1.92899 | ||||||||
\(165\) | −3.95475 | −0.307877 | ||||||||
\(166\) | 9.48843 | 0.736445 | ||||||||
\(167\) | −8.77925 | −0.679359 | −0.339679 | − | 0.940541i | \(-0.610319\pi\) | ||||
−0.339679 | + | 0.940541i | \(0.610319\pi\) | |||||||
\(168\) | 62.4703 | 4.81969 | ||||||||
\(169\) | 0.555006 | 0.0426927 | ||||||||
\(170\) | −2.40281 | −0.184287 | ||||||||
\(171\) | −7.36425 | −0.563158 | ||||||||
\(172\) | 26.0231 | 1.98424 | ||||||||
\(173\) | 9.75543 | 0.741692 | 0.370846 | − | 0.928694i | \(-0.379068\pi\) | ||||
0.370846 | + | 0.928694i | \(0.379068\pi\) | |||||||
\(174\) | 59.8413 | 4.53656 | ||||||||
\(175\) | 23.0144 | 1.73972 | ||||||||
\(176\) | −13.5486 | −1.02126 | ||||||||
\(177\) | 15.2336 | 1.14503 | ||||||||
\(178\) | −4.02139 | −0.301416 | ||||||||
\(179\) | 17.1359 | 1.28080 | 0.640400 | − | 0.768042i | \(-0.278769\pi\) | ||||
0.640400 | + | 0.768042i | \(0.278769\pi\) | |||||||
\(180\) | 7.05226 | 0.525645 | ||||||||
\(181\) | −9.50242 | −0.706310 | −0.353155 | − | 0.935565i | \(-0.614891\pi\) | ||||
−0.353155 | + | 0.935565i | \(0.614891\pi\) | |||||||
\(182\) | −43.8846 | −3.25295 | ||||||||
\(183\) | −26.0561 | −1.92612 | ||||||||
\(184\) | 25.8284 | 1.90409 | ||||||||
\(185\) | 5.40899 | 0.397677 | ||||||||
\(186\) | −33.0807 | −2.42559 | ||||||||
\(187\) | −6.11043 | −0.446839 | ||||||||
\(188\) | −20.7432 | −1.51285 | ||||||||
\(189\) | −6.04796 | −0.439924 | ||||||||
\(190\) | 2.58624 | 0.187626 | ||||||||
\(191\) | −4.68020 | −0.338647 | −0.169324 | − | 0.985560i | \(-0.554158\pi\) | ||||
−0.169324 | + | 0.985560i | \(0.554158\pi\) | |||||||
\(192\) | −18.5639 | −1.33973 | ||||||||
\(193\) | 26.0836 | 1.87754 | 0.938771 | − | 0.344543i | \(-0.111966\pi\) | ||||
0.938771 | + | 0.344543i | \(0.111966\pi\) | |||||||
\(194\) | −22.2260 | −1.59573 | ||||||||
\(195\) | −4.67121 | −0.334512 | ||||||||
\(196\) | 66.7652 | 4.76894 | ||||||||
\(197\) | 3.91475 | 0.278915 | 0.139457 | − | 0.990228i | \(-0.455464\pi\) | ||||
0.139457 | + | 0.990228i | \(0.455464\pi\) | |||||||
\(198\) | 26.7747 | 1.90280 | ||||||||
\(199\) | −15.1426 | −1.07343 | −0.536716 | − | 0.843763i | \(-0.680335\pi\) | ||||
−0.536716 | + | 0.843763i | \(0.680335\pi\) | |||||||
\(200\) | 24.0599 | 1.70129 | ||||||||
\(201\) | 10.2746 | 0.724716 | ||||||||
\(202\) | −21.5455 | −1.51594 | ||||||||
\(203\) | 46.2234 | 3.24424 | ||||||||
\(204\) | 20.2623 | 1.41865 | ||||||||
\(205\) | 3.03231 | 0.211786 | ||||||||
\(206\) | −11.5526 | −0.804909 | ||||||||
\(207\) | −17.8043 | −1.23749 | ||||||||
\(208\) | −16.0031 | −1.10962 | ||||||||
\(209\) | 6.57689 | 0.454933 | ||||||||
\(210\) | 15.1231 | 1.04360 | ||||||||
\(211\) | −27.8910 | −1.92010 | −0.960048 | − | 0.279834i | \(-0.909721\pi\) | ||||
−0.960048 | + | 0.279834i | \(0.909721\pi\) | |||||||
\(212\) | 22.7052 | 1.55940 | ||||||||
\(213\) | 36.9233 | 2.52994 | ||||||||
\(214\) | −34.9845 | −2.39149 | ||||||||
\(215\) | 3.19434 | 0.217852 | ||||||||
\(216\) | −6.32270 | −0.430205 | ||||||||
\(217\) | −25.5526 | −1.73462 | ||||||||
\(218\) | 26.8542 | 1.81879 | ||||||||
\(219\) | 0.179658 | 0.0121401 | ||||||||
\(220\) | −6.29826 | −0.424629 | ||||||||
\(221\) | −7.21742 | −0.485496 | ||||||||
\(222\) | −68.0974 | −4.57040 | ||||||||
\(223\) | −21.3522 | −1.42985 | −0.714926 | − | 0.699201i | \(-0.753539\pi\) | ||||
−0.714926 | + | 0.699201i | \(0.753539\pi\) | |||||||
\(224\) | 2.76760 | 0.184918 | ||||||||
\(225\) | −16.5852 | −1.10568 | ||||||||
\(226\) | −7.15927 | −0.476228 | ||||||||
\(227\) | −1.24150 | −0.0824010 | −0.0412005 | − | 0.999151i | \(-0.513118\pi\) | ||||
−0.0412005 | + | 0.999151i | \(0.513118\pi\) | |||||||
\(228\) | −21.8091 | −1.44435 | ||||||||
\(229\) | 24.5978 | 1.62547 | 0.812734 | − | 0.582635i | \(-0.197978\pi\) | ||||
0.812734 | + | 0.582635i | \(0.197978\pi\) | |||||||
\(230\) | 6.25268 | 0.412289 | ||||||||
\(231\) | 38.4586 | 2.53039 | ||||||||
\(232\) | 48.3232 | 3.17257 | ||||||||
\(233\) | 17.6700 | 1.15760 | 0.578801 | − | 0.815469i | \(-0.303521\pi\) | ||||
0.578801 | + | 0.815469i | \(0.303521\pi\) | |||||||
\(234\) | 31.6253 | 2.06741 | ||||||||
\(235\) | −2.54623 | −0.166098 | ||||||||
\(236\) | 24.2608 | 1.57924 | ||||||||
\(237\) | 8.17009 | 0.530704 | ||||||||
\(238\) | 23.3666 | 1.51463 | ||||||||
\(239\) | 21.3992 | 1.38420 | 0.692101 | − | 0.721801i | \(-0.256685\pi\) | ||||
0.692101 | + | 0.721801i | \(0.256685\pi\) | |||||||
\(240\) | 5.51485 | 0.355982 | ||||||||
\(241\) | 17.4458 | 1.12378 | 0.561892 | − | 0.827211i | \(-0.310074\pi\) | ||||
0.561892 | + | 0.827211i | \(0.310074\pi\) | |||||||
\(242\) | 3.16053 | 0.203167 | ||||||||
\(243\) | −22.3161 | −1.43158 | ||||||||
\(244\) | −41.4965 | −2.65654 | ||||||||
\(245\) | 8.19543 | 0.523587 | ||||||||
\(246\) | −38.1758 | −2.43400 | ||||||||
\(247\) | 7.76838 | 0.494290 | ||||||||
\(248\) | −26.7134 | −1.69630 | ||||||||
\(249\) | −9.82168 | −0.622423 | ||||||||
\(250\) | 11.9531 | 0.755981 | ||||||||
\(251\) | 25.5777 | 1.61445 | 0.807224 | − | 0.590246i | \(-0.200969\pi\) | ||||
0.807224 | + | 0.590246i | \(0.200969\pi\) | |||||||
\(252\) | −68.5808 | −4.32019 | ||||||||
\(253\) | 15.9008 | 0.999672 | ||||||||
\(254\) | −31.9356 | −2.00382 | ||||||||
\(255\) | 2.48721 | 0.155755 | ||||||||
\(256\) | −32.3773 | −2.02358 | ||||||||
\(257\) | −18.8741 | −1.17733 | −0.588666 | − | 0.808376i | \(-0.700347\pi\) | ||||
−0.588666 | + | 0.808376i | \(0.700347\pi\) | |||||||
\(258\) | −40.2157 | −2.50372 | ||||||||
\(259\) | −52.6006 | −3.26844 | ||||||||
\(260\) | −7.43927 | −0.461364 | ||||||||
\(261\) | −33.3107 | −2.06188 | ||||||||
\(262\) | 10.1493 | 0.627026 | ||||||||
\(263\) | −21.8899 | −1.34979 | −0.674895 | − | 0.737914i | \(-0.735811\pi\) | ||||
−0.674895 | + | 0.737914i | \(0.735811\pi\) | |||||||
\(264\) | 40.2057 | 2.47449 | ||||||||
\(265\) | 2.78707 | 0.171208 | ||||||||
\(266\) | −25.1503 | −1.54206 | ||||||||
\(267\) | 4.16263 | 0.254749 | ||||||||
\(268\) | 16.3631 | 0.999538 | ||||||||
\(269\) | −25.5912 | −1.56033 | −0.780163 | − | 0.625576i | \(-0.784864\pi\) | ||||
−0.780163 | + | 0.625576i | \(0.784864\pi\) | |||||||
\(270\) | −1.53063 | −0.0931514 | ||||||||
\(271\) | 17.2043 | 1.04509 | 0.522543 | − | 0.852613i | \(-0.324984\pi\) | ||||
0.522543 | + | 0.852613i | \(0.324984\pi\) | |||||||
\(272\) | 8.52091 | 0.516656 | ||||||||
\(273\) | 45.4259 | 2.74930 | ||||||||
\(274\) | −8.33436 | −0.503497 | ||||||||
\(275\) | 14.8120 | 0.893197 | ||||||||
\(276\) | −52.7273 | −3.17381 | ||||||||
\(277\) | −25.6496 | −1.54113 | −0.770567 | − | 0.637359i | \(-0.780027\pi\) | ||||
−0.770567 | + | 0.637359i | \(0.780027\pi\) | |||||||
\(278\) | −14.3005 | −0.857684 | ||||||||
\(279\) | 18.4144 | 1.10244 | ||||||||
\(280\) | 12.2123 | 0.729823 | ||||||||
\(281\) | −19.4675 | −1.16134 | −0.580668 | − | 0.814140i | \(-0.697209\pi\) | ||||
−0.580668 | + | 0.814140i | \(0.697209\pi\) | |||||||
\(282\) | 32.0562 | 1.90892 | ||||||||
\(283\) | −0.968842 | −0.0575917 | −0.0287958 | − | 0.999585i | \(-0.509167\pi\) | ||||
−0.0287958 | + | 0.999585i | \(0.509167\pi\) | |||||||
\(284\) | 58.8033 | 3.48934 | ||||||||
\(285\) | −2.67707 | −0.158576 | ||||||||
\(286\) | −28.2440 | −1.67010 | ||||||||
\(287\) | −29.4882 | −1.74063 | ||||||||
\(288\) | −1.99446 | −0.117525 | ||||||||
\(289\) | −13.1571 | −0.773944 | ||||||||
\(290\) | 11.6983 | 0.686950 | ||||||||
\(291\) | 23.0066 | 1.34867 | ||||||||
\(292\) | 0.286119 | 0.0167438 | ||||||||
\(293\) | 12.1498 | 0.709800 | 0.354900 | − | 0.934904i | \(-0.384515\pi\) | ||||
0.354900 | + | 0.934904i | \(0.384515\pi\) | |||||||
\(294\) | −103.178 | −6.01744 | ||||||||
\(295\) | 2.97801 | 0.173387 | ||||||||
\(296\) | −54.9901 | −3.19624 | ||||||||
\(297\) | −3.89245 | −0.225863 | ||||||||
\(298\) | −13.9301 | −0.806949 | ||||||||
\(299\) | 18.7814 | 1.08616 | ||||||||
\(300\) | −49.1170 | −2.83577 | ||||||||
\(301\) | −31.0639 | −1.79049 | ||||||||
\(302\) | −12.0554 | −0.693711 | ||||||||
\(303\) | 22.3022 | 1.28123 | ||||||||
\(304\) | −9.17138 | −0.526015 | ||||||||
\(305\) | −5.09369 | −0.291664 | ||||||||
\(306\) | −16.8390 | −0.962622 | ||||||||
\(307\) | 0.314156 | 0.0179298 | 0.00896492 | − | 0.999960i | \(-0.497146\pi\) | ||||
0.00896492 | + | 0.999960i | \(0.497146\pi\) | |||||||
\(308\) | 61.2484 | 3.48995 | ||||||||
\(309\) | 11.9584 | 0.680287 | ||||||||
\(310\) | −6.46692 | −0.367296 | ||||||||
\(311\) | −1.50810 | −0.0855166 | −0.0427583 | − | 0.999085i | \(-0.513615\pi\) | ||||
−0.0427583 | + | 0.999085i | \(0.513615\pi\) | |||||||
\(312\) | 47.4895 | 2.68856 | ||||||||
\(313\) | 10.4059 | 0.588176 | 0.294088 | − | 0.955778i | \(-0.404984\pi\) | ||||
0.294088 | + | 0.955778i | \(0.404984\pi\) | |||||||
\(314\) | 41.8990 | 2.36450 | ||||||||
\(315\) | −8.41830 | −0.474318 | ||||||||
\(316\) | 13.0115 | 0.731955 | ||||||||
\(317\) | 21.7763 | 1.22308 | 0.611538 | − | 0.791215i | \(-0.290551\pi\) | ||||
0.611538 | + | 0.791215i | \(0.290551\pi\) | |||||||
\(318\) | −35.0882 | −1.96765 | ||||||||
\(319\) | 29.7492 | 1.66564 | ||||||||
\(320\) | −3.62905 | −0.202870 | ||||||||
\(321\) | 36.2132 | 2.02122 | ||||||||
\(322\) | −60.8051 | −3.38854 | ||||||||
\(323\) | −4.13631 | −0.230150 | ||||||||
\(324\) | −29.5739 | −1.64299 | ||||||||
\(325\) | 17.4954 | 0.970470 | ||||||||
\(326\) | −21.0621 | −1.16652 | ||||||||
\(327\) | −27.7973 | −1.53720 | ||||||||
\(328\) | −30.8278 | −1.70218 | ||||||||
\(329\) | 24.7612 | 1.36513 | ||||||||
\(330\) | 9.73322 | 0.535796 | ||||||||
\(331\) | 2.69039 | 0.147877 | 0.0739386 | − | 0.997263i | \(-0.476443\pi\) | ||||
0.0739386 | + | 0.997263i | \(0.476443\pi\) | |||||||
\(332\) | −15.6418 | −0.858455 | ||||||||
\(333\) | 37.9064 | 2.07726 | ||||||||
\(334\) | 21.6070 | 1.18228 | ||||||||
\(335\) | 2.00858 | 0.109740 | ||||||||
\(336\) | −53.6300 | −2.92576 | ||||||||
\(337\) | −14.7306 | −0.802424 | −0.401212 | − | 0.915985i | \(-0.631411\pi\) | ||||
−0.401212 | + | 0.915985i | \(0.631411\pi\) | |||||||
\(338\) | −1.36595 | −0.0742978 | ||||||||
\(339\) | 7.41072 | 0.402495 | ||||||||
\(340\) | 3.96107 | 0.214819 | ||||||||
\(341\) | −16.4456 | −0.890577 | ||||||||
\(342\) | 18.1245 | 0.980059 | ||||||||
\(343\) | −45.7959 | −2.47274 | ||||||||
\(344\) | −32.4750 | −1.75094 | ||||||||
\(345\) | −6.47228 | −0.348456 | ||||||||
\(346\) | −24.0095 | −1.29076 | ||||||||
\(347\) | −9.84756 | −0.528645 | −0.264322 | − | 0.964434i | \(-0.585148\pi\) | ||||
−0.264322 | + | 0.964434i | \(0.585148\pi\) | |||||||
\(348\) | −98.6492 | −5.28815 | ||||||||
\(349\) | −27.9788 | −1.49767 | −0.748836 | − | 0.662755i | \(-0.769387\pi\) | ||||
−0.748836 | + | 0.662755i | \(0.769387\pi\) | |||||||
\(350\) | −56.6417 | −3.02763 | ||||||||
\(351\) | −4.59762 | −0.245403 | ||||||||
\(352\) | 1.78122 | 0.0949392 | ||||||||
\(353\) | 23.5344 | 1.25261 | 0.626306 | − | 0.779577i | \(-0.284566\pi\) | ||||
0.626306 | + | 0.779577i | \(0.284566\pi\) | |||||||
\(354\) | −37.4922 | −1.99269 | ||||||||
\(355\) | 7.21811 | 0.383098 | ||||||||
\(356\) | 6.62932 | 0.351353 | ||||||||
\(357\) | −24.1872 | −1.28012 | ||||||||
\(358\) | −42.1740 | −2.22896 | ||||||||
\(359\) | −0.0937245 | −0.00494659 | −0.00247329 | − | 0.999997i | \(-0.500787\pi\) | ||||
−0.00247329 | + | 0.999997i | \(0.500787\pi\) | |||||||
\(360\) | −8.80072 | −0.463839 | ||||||||
\(361\) | −14.5479 | −0.765681 | ||||||||
\(362\) | 23.3868 | 1.22918 | ||||||||
\(363\) | −3.27153 | −0.171711 | ||||||||
\(364\) | 72.3444 | 3.79188 | ||||||||
\(365\) | 0.0351211 | 0.00183832 | ||||||||
\(366\) | 64.1279 | 3.35202 | ||||||||
\(367\) | 30.6013 | 1.59737 | 0.798687 | − | 0.601747i | \(-0.205528\pi\) | ||||
0.798687 | + | 0.601747i | \(0.205528\pi\) | |||||||
\(368\) | −22.1734 | −1.15587 | ||||||||
\(369\) | 21.2506 | 1.10626 | ||||||||
\(370\) | −13.3123 | −0.692074 | ||||||||
\(371\) | −27.1033 | −1.40713 | ||||||||
\(372\) | 54.5339 | 2.82745 | ||||||||
\(373\) | −17.9035 | −0.927009 | −0.463504 | − | 0.886095i | \(-0.653408\pi\) | ||||
−0.463504 | + | 0.886095i | \(0.653408\pi\) | |||||||
\(374\) | 15.0387 | 0.777630 | ||||||||
\(375\) | −12.3729 | −0.638935 | ||||||||
\(376\) | 25.8861 | 1.33497 | ||||||||
\(377\) | 35.1387 | 1.80974 | ||||||||
\(378\) | 14.8849 | 0.765596 | ||||||||
\(379\) | −15.5647 | −0.799503 | −0.399752 | − | 0.916624i | \(-0.630904\pi\) | ||||
−0.399752 | + | 0.916624i | \(0.630904\pi\) | |||||||
\(380\) | −4.26345 | −0.218710 | ||||||||
\(381\) | 33.0572 | 1.69357 | ||||||||
\(382\) | 11.5186 | 0.589345 | ||||||||
\(383\) | 6.51278 | 0.332788 | 0.166394 | − | 0.986059i | \(-0.446788\pi\) | ||||
0.166394 | + | 0.986059i | \(0.446788\pi\) | |||||||
\(384\) | 48.6001 | 2.48011 | ||||||||
\(385\) | 7.51825 | 0.383166 | ||||||||
\(386\) | −64.1956 | −3.26747 | ||||||||
\(387\) | 22.3861 | 1.13795 | ||||||||
\(388\) | 36.6398 | 1.86010 | ||||||||
\(389\) | 21.7179 | 1.10114 | 0.550571 | − | 0.834789i | \(-0.314410\pi\) | ||||
0.550571 | + | 0.834789i | \(0.314410\pi\) | |||||||
\(390\) | 11.4965 | 0.582149 | ||||||||
\(391\) | −10.0002 | −0.505733 | ||||||||
\(392\) | −83.3182 | −4.20820 | ||||||||
\(393\) | −10.5058 | −0.529946 | ||||||||
\(394\) | −9.63477 | −0.485393 | ||||||||
\(395\) | 1.59716 | 0.0803621 | ||||||||
\(396\) | −44.1384 | −2.21804 | ||||||||
\(397\) | −9.37765 | −0.470651 | −0.235326 | − | 0.971917i | \(-0.575616\pi\) | ||||
−0.235326 | + | 0.971917i | \(0.575616\pi\) | |||||||
\(398\) | 37.2681 | 1.86808 | ||||||||
\(399\) | 26.0336 | 1.30331 | ||||||||
\(400\) | −20.6551 | −1.03276 | ||||||||
\(401\) | −4.99848 | −0.249612 | −0.124806 | − | 0.992181i | \(-0.539831\pi\) | ||||
−0.124806 | + | 0.992181i | \(0.539831\pi\) | |||||||
\(402\) | −25.2873 | −1.26122 | ||||||||
\(403\) | −19.4249 | −0.967623 | ||||||||
\(404\) | 35.5181 | 1.76709 | ||||||||
\(405\) | −3.63020 | −0.180386 | ||||||||
\(406\) | −113.762 | −5.64593 | ||||||||
\(407\) | −33.8536 | −1.67806 | ||||||||
\(408\) | −25.2860 | −1.25184 | ||||||||
\(409\) | −37.0960 | −1.83428 | −0.917138 | − | 0.398569i | \(-0.869507\pi\) | ||||
−0.917138 | + | 0.398569i | \(0.869507\pi\) | |||||||
\(410\) | −7.46296 | −0.368569 | ||||||||
\(411\) | 8.62708 | 0.425542 | ||||||||
\(412\) | 19.0446 | 0.938262 | ||||||||
\(413\) | −28.9601 | −1.42504 | ||||||||
\(414\) | 43.8190 | 2.15359 | ||||||||
\(415\) | −1.92003 | −0.0942507 | ||||||||
\(416\) | 2.10391 | 0.103153 | ||||||||
\(417\) | 14.8027 | 0.724892 | ||||||||
\(418\) | −16.1867 | −0.791716 | ||||||||
\(419\) | 34.8618 | 1.70311 | 0.851555 | − | 0.524266i | \(-0.175660\pi\) | ||||
0.851555 | + | 0.524266i | \(0.175660\pi\) | |||||||
\(420\) | −24.9307 | −1.21649 | ||||||||
\(421\) | −32.8749 | −1.60223 | −0.801113 | − | 0.598513i | \(-0.795758\pi\) | ||||
−0.801113 | + | 0.598513i | \(0.795758\pi\) | |||||||
\(422\) | 68.6438 | 3.34153 | ||||||||
\(423\) | −17.8441 | −0.867609 | ||||||||
\(424\) | −28.3345 | −1.37604 | ||||||||
\(425\) | −9.31549 | −0.451868 | ||||||||
\(426\) | −90.8736 | −4.40284 | ||||||||
\(427\) | 49.5344 | 2.39714 | ||||||||
\(428\) | 57.6724 | 2.78770 | ||||||||
\(429\) | 29.2360 | 1.41153 | ||||||||
\(430\) | −7.86173 | −0.379126 | ||||||||
\(431\) | −38.9186 | −1.87464 | −0.937320 | − | 0.348469i | \(-0.886702\pi\) | ||||
−0.937320 | + | 0.348469i | \(0.886702\pi\) | |||||||
\(432\) | 5.42797 | 0.261153 | ||||||||
\(433\) | −5.96585 | −0.286700 | −0.143350 | − | 0.989672i | \(-0.545788\pi\) | ||||
−0.143350 | + | 0.989672i | \(0.545788\pi\) | |||||||
\(434\) | 62.8885 | 3.01875 | ||||||||
\(435\) | −12.1092 | −0.580592 | ||||||||
\(436\) | −44.2695 | −2.12012 | ||||||||
\(437\) | 10.7636 | 0.514894 | ||||||||
\(438\) | −0.442163 | −0.0211274 | ||||||||
\(439\) | 8.26299 | 0.394371 | 0.197185 | − | 0.980366i | \(-0.436820\pi\) | ||||
0.197185 | + | 0.980366i | \(0.436820\pi\) | |||||||
\(440\) | 7.85978 | 0.374701 | ||||||||
\(441\) | 57.4339 | 2.73495 | ||||||||
\(442\) | 17.7631 | 0.844905 | ||||||||
\(443\) | 2.38384 | 0.113260 | 0.0566299 | − | 0.998395i | \(-0.481964\pi\) | ||||
0.0566299 | + | 0.998395i | \(0.481964\pi\) | |||||||
\(444\) | 112.259 | 5.32760 | ||||||||
\(445\) | 0.813749 | 0.0385754 | ||||||||
\(446\) | 52.5509 | 2.48836 | ||||||||
\(447\) | 14.4193 | 0.682011 | ||||||||
\(448\) | 35.2912 | 1.66735 | ||||||||
\(449\) | −20.6263 | −0.973417 | −0.486709 | − | 0.873564i | \(-0.661803\pi\) | ||||
−0.486709 | + | 0.873564i | \(0.661803\pi\) | |||||||
\(450\) | 40.8186 | 1.92421 | ||||||||
\(451\) | −18.9785 | −0.893665 | ||||||||
\(452\) | 11.8022 | 0.555127 | ||||||||
\(453\) | 12.4788 | 0.586306 | ||||||||
\(454\) | 3.05550 | 0.143402 | ||||||||
\(455\) | 8.88028 | 0.416314 | ||||||||
\(456\) | 27.2163 | 1.27452 | ||||||||
\(457\) | −2.56153 | −0.119823 | −0.0599116 | − | 0.998204i | \(-0.519082\pi\) | ||||
−0.0599116 | + | 0.998204i | \(0.519082\pi\) | |||||||
\(458\) | −60.5387 | −2.82879 | ||||||||
\(459\) | 2.44802 | 0.114264 | ||||||||
\(460\) | −10.3076 | −0.480595 | ||||||||
\(461\) | 15.9974 | 0.745073 | 0.372536 | − | 0.928018i | \(-0.378488\pi\) | ||||
0.372536 | + | 0.928018i | \(0.378488\pi\) | |||||||
\(462\) | −94.6522 | −4.40362 | ||||||||
\(463\) | 14.4785 | 0.672873 | 0.336437 | − | 0.941706i | \(-0.390778\pi\) | ||||
0.336437 | + | 0.941706i | \(0.390778\pi\) | |||||||
\(464\) | −41.4849 | −1.92589 | ||||||||
\(465\) | 6.69404 | 0.310429 | ||||||||
\(466\) | −43.4885 | −2.01456 | ||||||||
\(467\) | 18.7824 | 0.869144 | 0.434572 | − | 0.900637i | \(-0.356900\pi\) | ||||
0.434572 | + | 0.900637i | \(0.356900\pi\) | |||||||
\(468\) | −52.1347 | −2.40993 | ||||||||
\(469\) | −19.5327 | −0.901938 | ||||||||
\(470\) | 6.26664 | 0.289059 | ||||||||
\(471\) | −43.3705 | −1.99841 | ||||||||
\(472\) | −30.2757 | −1.39355 | ||||||||
\(473\) | −19.9926 | −0.919262 | ||||||||
\(474\) | −20.1078 | −0.923580 | ||||||||
\(475\) | 10.0266 | 0.460053 | ||||||||
\(476\) | −38.5201 | −1.76556 | ||||||||
\(477\) | 19.5319 | 0.894303 | ||||||||
\(478\) | −52.6666 | −2.40891 | ||||||||
\(479\) | 14.0936 | 0.643955 | 0.321977 | − | 0.946747i | \(-0.395653\pi\) | ||||
0.321977 | + | 0.946747i | \(0.395653\pi\) | |||||||
\(480\) | −0.725031 | −0.0330930 | ||||||||
\(481\) | −39.9866 | −1.82323 | ||||||||
\(482\) | −42.9366 | −1.95571 | ||||||||
\(483\) | 62.9407 | 2.86390 | ||||||||
\(484\) | −5.21018 | −0.236826 | ||||||||
\(485\) | 4.49754 | 0.204223 | ||||||||
\(486\) | 54.9232 | 2.49137 | ||||||||
\(487\) | −2.21478 | −0.100361 | −0.0501806 | − | 0.998740i | \(-0.515980\pi\) | ||||
−0.0501806 | + | 0.998740i | \(0.515980\pi\) | |||||||
\(488\) | 51.7846 | 2.34418 | ||||||||
\(489\) | 21.8018 | 0.985911 | ||||||||
\(490\) | −20.1701 | −0.911193 | ||||||||
\(491\) | −38.2578 | −1.72655 | −0.863275 | − | 0.504733i | \(-0.831591\pi\) | ||||
−0.863275 | + | 0.504733i | \(0.831591\pi\) | |||||||
\(492\) | 62.9333 | 2.83725 | ||||||||
\(493\) | −18.7097 | −0.842645 | ||||||||
\(494\) | −19.1191 | −0.860209 | ||||||||
\(495\) | −5.41800 | −0.243521 | ||||||||
\(496\) | 22.9331 | 1.02973 | ||||||||
\(497\) | −70.1937 | −3.14862 | ||||||||
\(498\) | 24.1726 | 1.08320 | ||||||||
\(499\) | 29.4056 | 1.31638 | 0.658188 | − | 0.752853i | \(-0.271323\pi\) | ||||
0.658188 | + | 0.752853i | \(0.271323\pi\) | |||||||
\(500\) | −19.7048 | −0.881228 | ||||||||
\(501\) | −22.3659 | −0.999233 | ||||||||
\(502\) | −62.9503 | −2.80961 | ||||||||
\(503\) | 37.8702 | 1.68855 | 0.844275 | − | 0.535910i | \(-0.180031\pi\) | ||||
0.844275 | + | 0.535910i | \(0.180031\pi\) | |||||||
\(504\) | 85.5840 | 3.81222 | ||||||||
\(505\) | 4.35985 | 0.194011 | ||||||||
\(506\) | −39.1340 | −1.73972 | ||||||||
\(507\) | 1.41392 | 0.0627945 | ||||||||
\(508\) | 52.6462 | 2.33580 | ||||||||
\(509\) | −24.2543 | −1.07505 | −0.537527 | − | 0.843247i | \(-0.680641\pi\) | ||||
−0.537527 | + | 0.843247i | \(0.680641\pi\) | |||||||
\(510\) | −6.12137 | −0.271059 | ||||||||
\(511\) | −0.341541 | −0.0151089 | ||||||||
\(512\) | 41.5314 | 1.83545 | ||||||||
\(513\) | −2.63490 | −0.116334 | ||||||||
\(514\) | 46.4518 | 2.04890 | ||||||||
\(515\) | 2.33773 | 0.103013 | ||||||||
\(516\) | 66.2960 | 2.91852 | ||||||||
\(517\) | 15.9363 | 0.700876 | ||||||||
\(518\) | 129.458 | 5.68804 | ||||||||
\(519\) | 24.8528 | 1.09092 | ||||||||
\(520\) | 9.28369 | 0.407117 | ||||||||
\(521\) | −1.09893 | −0.0481452 | −0.0240726 | − | 0.999710i | \(-0.507663\pi\) | ||||
−0.0240726 | + | 0.999710i | \(0.507663\pi\) | |||||||
\(522\) | 81.9824 | 3.58827 | ||||||||
\(523\) | −40.2783 | −1.76125 | −0.880623 | − | 0.473818i | \(-0.842875\pi\) | ||||
−0.880623 | + | 0.473818i | \(0.842875\pi\) | |||||||
\(524\) | −16.7313 | −0.730909 | ||||||||
\(525\) | 58.6311 | 2.55887 | ||||||||
\(526\) | 53.8742 | 2.34903 | ||||||||
\(527\) | 10.3429 | 0.450542 | ||||||||
\(528\) | −34.5162 | −1.50212 | ||||||||
\(529\) | 3.02289 | 0.131430 | ||||||||
\(530\) | −6.85937 | −0.297952 | ||||||||
\(531\) | 20.8700 | 0.905682 | ||||||||
\(532\) | 41.4606 | 1.79755 | ||||||||
\(533\) | −22.4168 | −0.970977 | ||||||||
\(534\) | −10.2448 | −0.443337 | ||||||||
\(535\) | 7.07929 | 0.306064 | ||||||||
\(536\) | −20.4201 | −0.882012 | ||||||||
\(537\) | 43.6552 | 1.88386 | ||||||||
\(538\) | 62.9837 | 2.71542 | ||||||||
\(539\) | −51.2933 | −2.20936 | ||||||||
\(540\) | 2.52327 | 0.108584 | ||||||||
\(541\) | −15.6569 | −0.673143 | −0.336572 | − | 0.941658i | \(-0.609267\pi\) | ||||
−0.336572 | + | 0.941658i | \(0.609267\pi\) | |||||||
\(542\) | −42.3422 | −1.81875 | ||||||||
\(543\) | −24.2082 | −1.03887 | ||||||||
\(544\) | −1.12024 | −0.0480297 | ||||||||
\(545\) | −5.43408 | −0.232770 | ||||||||
\(546\) | −111.800 | −4.78459 | ||||||||
\(547\) | 26.3164 | 1.12521 | 0.562604 | − | 0.826727i | \(-0.309800\pi\) | ||||
0.562604 | + | 0.826727i | \(0.309800\pi\) | |||||||
\(548\) | 13.7393 | 0.586914 | ||||||||
\(549\) | −35.6968 | −1.52350 | ||||||||
\(550\) | −36.4545 | −1.55442 | ||||||||
\(551\) | 20.1380 | 0.857908 | ||||||||
\(552\) | 65.8000 | 2.80063 | ||||||||
\(553\) | −15.5319 | −0.660483 | ||||||||
\(554\) | 63.1273 | 2.68202 | ||||||||
\(555\) | 13.7799 | 0.584922 | ||||||||
\(556\) | 23.5745 | 0.999781 | ||||||||
\(557\) | −10.2631 | −0.434860 | −0.217430 | − | 0.976076i | \(-0.569767\pi\) | ||||
−0.217430 | + | 0.976076i | \(0.569767\pi\) | |||||||
\(558\) | −45.3204 | −1.91857 | ||||||||
\(559\) | −23.6146 | −0.998789 | ||||||||
\(560\) | −10.4841 | −0.443034 | ||||||||
\(561\) | −15.5668 | −0.657232 | ||||||||
\(562\) | 47.9124 | 2.02106 | ||||||||
\(563\) | 13.9941 | 0.589782 | 0.294891 | − | 0.955531i | \(-0.404717\pi\) | ||||
0.294891 | + | 0.955531i | \(0.404717\pi\) | |||||||
\(564\) | −52.8451 | −2.22518 | ||||||||
\(565\) | 1.44872 | 0.0609479 | ||||||||
\(566\) | 2.38446 | 0.100226 | ||||||||
\(567\) | 35.3024 | 1.48256 | ||||||||
\(568\) | −73.3824 | −3.07906 | ||||||||
\(569\) | −4.63507 | −0.194312 | −0.0971561 | − | 0.995269i | \(-0.530975\pi\) | ||||
−0.0971561 | + | 0.995269i | \(0.530975\pi\) | |||||||
\(570\) | 6.58866 | 0.275969 | ||||||||
\(571\) | −18.6791 | −0.781696 | −0.390848 | − | 0.920455i | \(-0.627818\pi\) | ||||
−0.390848 | + | 0.920455i | \(0.627818\pi\) | |||||||
\(572\) | 46.5607 | 1.94680 | ||||||||
\(573\) | −11.9232 | −0.498099 | ||||||||
\(574\) | 72.5747 | 3.02921 | ||||||||
\(575\) | 24.2411 | 1.01092 | ||||||||
\(576\) | −25.4325 | −1.05969 | ||||||||
\(577\) | 4.43894 | 0.184796 | 0.0923978 | − | 0.995722i | \(-0.470547\pi\) | ||||
0.0923978 | + | 0.995722i | \(0.470547\pi\) | |||||||
\(578\) | 32.3814 | 1.34689 | ||||||||
\(579\) | 66.4502 | 2.76158 | ||||||||
\(580\) | −19.2849 | −0.800760 | ||||||||
\(581\) | 18.6717 | 0.774631 | ||||||||
\(582\) | −56.6225 | −2.34708 | ||||||||
\(583\) | −17.4436 | −0.722440 | ||||||||
\(584\) | −0.357056 | −0.0147751 | ||||||||
\(585\) | −6.39954 | −0.264588 | ||||||||
\(586\) | −29.9025 | −1.23526 | ||||||||
\(587\) | 24.8269 | 1.02471 | 0.512357 | − | 0.858772i | \(-0.328772\pi\) | ||||
0.512357 | + | 0.858772i | \(0.328772\pi\) | |||||||
\(588\) | 170.090 | 7.01438 | ||||||||
\(589\) | −11.1324 | −0.458703 | ||||||||
\(590\) | −7.32931 | −0.301743 | ||||||||
\(591\) | 9.97316 | 0.410241 | ||||||||
\(592\) | 47.2084 | 1.94025 | ||||||||
\(593\) | 29.5417 | 1.21313 | 0.606566 | − | 0.795033i | \(-0.292546\pi\) | ||||
0.606566 | + | 0.795033i | \(0.292546\pi\) | |||||||
\(594\) | 9.57988 | 0.393067 | ||||||||
\(595\) | −4.72834 | −0.193843 | ||||||||
\(596\) | 22.9639 | 0.940640 | ||||||||
\(597\) | −38.5771 | −1.57885 | ||||||||
\(598\) | −46.2237 | −1.89023 | ||||||||
\(599\) | 20.8607 | 0.852345 | 0.426173 | − | 0.904642i | \(-0.359862\pi\) | ||||
0.426173 | + | 0.904642i | \(0.359862\pi\) | |||||||
\(600\) | 61.2945 | 2.50234 | ||||||||
\(601\) | 26.1219 | 1.06553 | 0.532767 | − | 0.846262i | \(-0.321152\pi\) | ||||
0.532767 | + | 0.846262i | \(0.321152\pi\) | |||||||
\(602\) | 76.4526 | 3.11598 | ||||||||
\(603\) | 14.0762 | 0.573227 | ||||||||
\(604\) | 19.8735 | 0.808641 | ||||||||
\(605\) | −0.639550 | −0.0260014 | ||||||||
\(606\) | −54.8890 | −2.22971 | ||||||||
\(607\) | 14.7912 | 0.600355 | 0.300178 | − | 0.953883i | \(-0.402954\pi\) | ||||
0.300178 | + | 0.953883i | \(0.402954\pi\) | |||||||
\(608\) | 1.20575 | 0.0488997 | ||||||||
\(609\) | 117.758 | 4.77179 | ||||||||
\(610\) | 12.5363 | 0.507580 | ||||||||
\(611\) | 18.8233 | 0.761511 | ||||||||
\(612\) | 27.7593 | 1.12210 | ||||||||
\(613\) | 0.585736 | 0.0236577 | 0.0118288 | − | 0.999930i | \(-0.496235\pi\) | ||||
0.0118288 | + | 0.999930i | \(0.496235\pi\) | |||||||
\(614\) | −0.773184 | −0.0312032 | ||||||||
\(615\) | 7.72507 | 0.311505 | ||||||||
\(616\) | −76.4337 | −3.07960 | ||||||||
\(617\) | −11.1345 | −0.448258 | −0.224129 | − | 0.974560i | \(-0.571954\pi\) | ||||
−0.224129 | + | 0.974560i | \(0.571954\pi\) | |||||||
\(618\) | −29.4312 | −1.18390 | ||||||||
\(619\) | 26.6873 | 1.07265 | 0.536326 | − | 0.844011i | \(-0.319812\pi\) | ||||
0.536326 | + | 0.844011i | \(0.319812\pi\) | |||||||
\(620\) | 10.6608 | 0.428148 | ||||||||
\(621\) | −6.37031 | −0.255632 | ||||||||
\(622\) | 3.71165 | 0.148824 | ||||||||
\(623\) | −7.91343 | −0.317045 | ||||||||
\(624\) | −40.7692 | −1.63207 | ||||||||
\(625\) | 21.3411 | 0.853643 | ||||||||
\(626\) | −25.6104 | −1.02360 | ||||||||
\(627\) | 16.7552 | 0.669137 | ||||||||
\(628\) | −69.0710 | −2.75623 | ||||||||
\(629\) | 21.2911 | 0.848930 | ||||||||
\(630\) | 20.7187 | 0.825451 | ||||||||
\(631\) | 3.13409 | 0.124766 | 0.0623831 | − | 0.998052i | \(-0.480130\pi\) | ||||
0.0623831 | + | 0.998052i | \(0.480130\pi\) | |||||||
\(632\) | −16.2375 | −0.645891 | ||||||||
\(633\) | −71.0547 | −2.82417 | ||||||||
\(634\) | −53.5945 | −2.12851 | ||||||||
\(635\) | 6.46233 | 0.256450 | ||||||||
\(636\) | 57.8434 | 2.29364 | ||||||||
\(637\) | −60.5857 | −2.40049 | ||||||||
\(638\) | −73.2171 | −2.89869 | ||||||||
\(639\) | 50.5848 | 2.00110 | ||||||||
\(640\) | 9.50079 | 0.375552 | ||||||||
\(641\) | −24.7216 | −0.976444 | −0.488222 | − | 0.872719i | \(-0.662354\pi\) | ||||
−0.488222 | + | 0.872719i | \(0.662354\pi\) | |||||||
\(642\) | −89.1259 | −3.51752 | ||||||||
\(643\) | 29.5599 | 1.16573 | 0.582864 | − | 0.812570i | \(-0.301932\pi\) | ||||
0.582864 | + | 0.812570i | \(0.301932\pi\) | |||||||
\(644\) | 100.238 | 3.94993 | ||||||||
\(645\) | 8.13785 | 0.320427 | ||||||||
\(646\) | 10.1800 | 0.400529 | ||||||||
\(647\) | 35.7825 | 1.40675 | 0.703377 | − | 0.710817i | \(-0.251675\pi\) | ||||
0.703377 | + | 0.710817i | \(0.251675\pi\) | |||||||
\(648\) | 36.9061 | 1.44981 | ||||||||
\(649\) | −18.6387 | −0.731632 | ||||||||
\(650\) | −43.0587 | −1.68890 | ||||||||
\(651\) | −65.0973 | −2.55136 | ||||||||
\(652\) | 34.7211 | 1.35978 | ||||||||
\(653\) | 36.1882 | 1.41615 | 0.708076 | − | 0.706136i | \(-0.249563\pi\) | ||||
0.708076 | + | 0.706136i | \(0.249563\pi\) | |||||||
\(654\) | 68.4133 | 2.67517 | ||||||||
\(655\) | −2.05377 | −0.0802472 | ||||||||
\(656\) | 26.4653 | 1.03330 | ||||||||
\(657\) | 0.246130 | 0.00960246 | ||||||||
\(658\) | −60.9410 | −2.37573 | ||||||||
\(659\) | 30.5084 | 1.18844 | 0.594219 | − | 0.804304i | \(-0.297461\pi\) | ||||
0.594219 | + | 0.804304i | \(0.297461\pi\) | |||||||
\(660\) | −16.0453 | −0.624564 | ||||||||
\(661\) | −8.13789 | −0.316527 | −0.158264 | − | 0.987397i | \(-0.550590\pi\) | ||||
−0.158264 | + | 0.987397i | \(0.550590\pi\) | |||||||
\(662\) | −6.62144 | −0.257350 | ||||||||
\(663\) | −18.3870 | −0.714091 | ||||||||
\(664\) | 19.5199 | 0.757518 | ||||||||
\(665\) | 5.08929 | 0.197354 | ||||||||
\(666\) | −93.2932 | −3.61504 | ||||||||
\(667\) | 48.6871 | 1.88517 | ||||||||
\(668\) | −35.6194 | −1.37816 | ||||||||
\(669\) | −54.3966 | −2.10309 | ||||||||
\(670\) | −4.94340 | −0.190980 | ||||||||
\(671\) | 31.8802 | 1.23072 | ||||||||
\(672\) | 7.05068 | 0.271986 | ||||||||
\(673\) | −3.18796 | −0.122887 | −0.0614435 | − | 0.998111i | \(-0.519570\pi\) | ||||
−0.0614435 | + | 0.998111i | \(0.519570\pi\) | |||||||
\(674\) | 36.2540 | 1.39645 | ||||||||
\(675\) | −5.93413 | −0.228405 | ||||||||
\(676\) | 2.25178 | 0.0866071 | ||||||||
\(677\) | 48.7601 | 1.87400 | 0.937002 | − | 0.349324i | \(-0.113589\pi\) | ||||
0.937002 | + | 0.349324i | \(0.113589\pi\) | |||||||
\(678\) | −18.2388 | −0.700459 | ||||||||
\(679\) | −43.7370 | −1.67847 | ||||||||
\(680\) | −4.94314 | −0.189561 | ||||||||
\(681\) | −3.16281 | −0.121199 | ||||||||
\(682\) | 40.4749 | 1.54986 | ||||||||
\(683\) | 37.0621 | 1.41814 | 0.709071 | − | 0.705137i | \(-0.249114\pi\) | ||||
0.709071 | + | 0.705137i | \(0.249114\pi\) | |||||||
\(684\) | −29.8784 | −1.14243 | ||||||||
\(685\) | 1.68650 | 0.0644379 | ||||||||
\(686\) | 112.710 | 4.30330 | ||||||||
\(687\) | 62.6649 | 2.39082 | ||||||||
\(688\) | 27.8794 | 1.06289 | ||||||||
\(689\) | −20.6037 | −0.784940 | ||||||||
\(690\) | 15.9292 | 0.606415 | ||||||||
\(691\) | −6.91861 | −0.263196 | −0.131598 | − | 0.991303i | \(-0.542011\pi\) | ||||
−0.131598 | + | 0.991303i | \(0.542011\pi\) | |||||||
\(692\) | 39.5800 | 1.50461 | ||||||||
\(693\) | 52.6882 | 2.00146 | ||||||||
\(694\) | 24.2363 | 0.919996 | ||||||||
\(695\) | 2.89377 | 0.109767 | ||||||||
\(696\) | 123.107 | 4.66637 | ||||||||
\(697\) | 11.9359 | 0.452104 | ||||||||
\(698\) | 68.8599 | 2.60639 | ||||||||
\(699\) | 45.0158 | 1.70266 | ||||||||
\(700\) | 93.3746 | 3.52923 | ||||||||
\(701\) | 16.9589 | 0.640527 | 0.320264 | − | 0.947328i | \(-0.396229\pi\) | ||||
0.320264 | + | 0.947328i | \(0.396229\pi\) | |||||||
\(702\) | 11.3154 | 0.427072 | ||||||||
\(703\) | −22.9164 | −0.864307 | ||||||||
\(704\) | 22.7133 | 0.856041 | ||||||||
\(705\) | −6.48674 | −0.244305 | ||||||||
\(706\) | −57.9217 | −2.17991 | ||||||||
\(707\) | −42.3980 | −1.59454 | ||||||||
\(708\) | 61.8063 | 2.32282 | ||||||||
\(709\) | −11.5856 | −0.435106 | −0.217553 | − | 0.976048i | \(-0.569808\pi\) | ||||
−0.217553 | + | 0.976048i | \(0.569808\pi\) | |||||||
\(710\) | −17.7648 | −0.666702 | ||||||||
\(711\) | 11.1930 | 0.419770 | ||||||||
\(712\) | −8.27292 | −0.310041 | ||||||||
\(713\) | −26.9145 | −1.00796 | ||||||||
\(714\) | 59.5282 | 2.22779 | ||||||||
\(715\) | 5.71533 | 0.213741 | ||||||||
\(716\) | 69.5244 | 2.59825 | ||||||||
\(717\) | 54.5163 | 2.03595 | ||||||||
\(718\) | 0.230669 | 0.00860851 | ||||||||
\(719\) | 10.6469 | 0.397062 | 0.198531 | − | 0.980095i | \(-0.436383\pi\) | ||||
0.198531 | + | 0.980095i | \(0.436383\pi\) | |||||||
\(720\) | 7.55532 | 0.281570 | ||||||||
\(721\) | −22.7336 | −0.846645 | ||||||||
\(722\) | 35.8046 | 1.33251 | ||||||||
\(723\) | 44.4446 | 1.65291 | ||||||||
\(724\) | −38.5535 | −1.43283 | ||||||||
\(725\) | 45.3534 | 1.68438 | ||||||||
\(726\) | 8.05171 | 0.298827 | ||||||||
\(727\) | −36.5695 | −1.35629 | −0.678144 | − | 0.734929i | \(-0.737215\pi\) | ||||
−0.678144 | + | 0.734929i | \(0.737215\pi\) | |||||||
\(728\) | −90.2807 | −3.34603 | ||||||||
\(729\) | −34.9846 | −1.29573 | ||||||||
\(730\) | −0.0864382 | −0.00319922 | ||||||||
\(731\) | 12.5737 | 0.465054 | ||||||||
\(732\) | −105.716 | −3.90736 | ||||||||
\(733\) | −17.8068 | −0.657709 | −0.328855 | − | 0.944381i | \(-0.606663\pi\) | ||||
−0.328855 | + | 0.944381i | \(0.606663\pi\) | |||||||
\(734\) | −75.3141 | −2.77990 | ||||||||
\(735\) | 20.8785 | 0.770116 | ||||||||
\(736\) | 2.91511 | 0.107452 | ||||||||
\(737\) | −12.5712 | −0.463067 | ||||||||
\(738\) | −52.3007 | −1.92522 | ||||||||
\(739\) | 41.6790 | 1.53319 | 0.766594 | − | 0.642132i | \(-0.221950\pi\) | ||||
0.766594 | + | 0.642132i | \(0.221950\pi\) | |||||||
\(740\) | 21.9455 | 0.806733 | ||||||||
\(741\) | 19.7906 | 0.727026 | ||||||||
\(742\) | 66.7050 | 2.44882 | ||||||||
\(743\) | −20.7703 | −0.761987 | −0.380994 | − | 0.924578i | \(-0.624418\pi\) | ||||
−0.380994 | + | 0.924578i | \(0.624418\pi\) | |||||||
\(744\) | −68.0545 | −2.49500 | ||||||||
\(745\) | 2.81883 | 0.103274 | ||||||||
\(746\) | 44.0631 | 1.61327 | ||||||||
\(747\) | −13.4557 | −0.492317 | ||||||||
\(748\) | −24.7914 | −0.906464 | ||||||||
\(749\) | −68.8437 | −2.51549 | ||||||||
\(750\) | 30.4515 | 1.11193 | ||||||||
\(751\) | 9.65977 | 0.352490 | 0.176245 | − | 0.984346i | \(-0.443605\pi\) | ||||
0.176245 | + | 0.984346i | \(0.443605\pi\) | |||||||
\(752\) | −22.2229 | −0.810386 | ||||||||
\(753\) | 65.1612 | 2.37461 | ||||||||
\(754\) | −86.4814 | −3.14947 | ||||||||
\(755\) | 2.43947 | 0.0887815 | ||||||||
\(756\) | −24.5379 | −0.892436 | ||||||||
\(757\) | 6.28118 | 0.228293 | 0.114147 | − | 0.993464i | \(-0.463587\pi\) | ||||
0.114147 | + | 0.993464i | \(0.463587\pi\) | |||||||
\(758\) | 38.3069 | 1.39137 | ||||||||
\(759\) | 40.5085 | 1.47036 | ||||||||
\(760\) | 5.32049 | 0.192994 | ||||||||
\(761\) | 6.56520 | 0.237988 | 0.118994 | − | 0.992895i | \(-0.462033\pi\) | ||||
0.118994 | + | 0.992895i | \(0.462033\pi\) | |||||||
\(762\) | −81.3586 | −2.94731 | ||||||||
\(763\) | 52.8446 | 1.91310 | ||||||||
\(764\) | −18.9886 | −0.686985 | ||||||||
\(765\) | 3.40746 | 0.123197 | ||||||||
\(766\) | −16.0289 | −0.579147 | ||||||||
\(767\) | −22.0153 | −0.794927 | ||||||||
\(768\) | −82.4840 | −2.97638 | ||||||||
\(769\) | 5.63828 | 0.203321 | 0.101661 | − | 0.994819i | \(-0.467584\pi\) | ||||
0.101661 | + | 0.994819i | \(0.467584\pi\) | |||||||
\(770\) | −18.5035 | −0.666820 | ||||||||
\(771\) | −48.0833 | −1.73168 | ||||||||
\(772\) | 105.827 | 3.80881 | ||||||||
\(773\) | 4.65494 | 0.167427 | 0.0837133 | − | 0.996490i | \(-0.473322\pi\) | ||||
0.0837133 | + | 0.996490i | \(0.473322\pi\) | |||||||
\(774\) | −55.0953 | −1.98036 | ||||||||
\(775\) | −25.0716 | −0.900600 | ||||||||
\(776\) | −45.7239 | −1.64139 | ||||||||
\(777\) | −134.004 | −4.80738 | ||||||||
\(778\) | −53.4509 | −1.91631 | ||||||||
\(779\) | −12.8471 | −0.460293 | ||||||||
\(780\) | −18.9522 | −0.678596 | ||||||||
\(781\) | −45.1765 | −1.61654 | ||||||||
\(782\) | 24.6120 | 0.880123 | ||||||||
\(783\) | −11.9184 | −0.425930 | ||||||||
\(784\) | 71.5277 | 2.55456 | ||||||||
\(785\) | −8.47847 | −0.302610 | ||||||||
\(786\) | 25.8562 | 0.922260 | ||||||||
\(787\) | −40.5724 | −1.44625 | −0.723124 | − | 0.690718i | \(-0.757295\pi\) | ||||
−0.723124 | + | 0.690718i | \(0.757295\pi\) | |||||||
\(788\) | 15.8830 | 0.565810 | ||||||||
\(789\) | −55.7664 | −1.98533 | ||||||||
\(790\) | −3.93085 | −0.139853 | ||||||||
\(791\) | −14.0883 | −0.500921 | ||||||||
\(792\) | 55.0817 | 1.95724 | ||||||||
\(793\) | 37.6558 | 1.33720 | ||||||||
\(794\) | 23.0798 | 0.819070 | ||||||||
\(795\) | 7.10028 | 0.251821 | ||||||||
\(796\) | −61.4370 | −2.17758 | ||||||||
\(797\) | 44.0804 | 1.56141 | 0.780704 | − | 0.624901i | \(-0.214861\pi\) | ||||
0.780704 | + | 0.624901i | \(0.214861\pi\) | |||||||
\(798\) | −64.0725 | −2.26814 | ||||||||
\(799\) | −10.0226 | −0.354573 | ||||||||
\(800\) | 2.71551 | 0.0960077 | ||||||||
\(801\) | 5.70278 | 0.201498 | ||||||||
\(802\) | 12.3020 | 0.434398 | ||||||||
\(803\) | −0.219815 | −0.00775710 | ||||||||
\(804\) | 41.6865 | 1.47017 | ||||||||
\(805\) | 12.3042 | 0.433667 | ||||||||
\(806\) | 47.8075 | 1.68395 | ||||||||
\(807\) | −65.1958 | −2.29500 | ||||||||
\(808\) | −44.3241 | −1.55931 | ||||||||
\(809\) | −30.2995 | −1.06527 | −0.532637 | − | 0.846344i | \(-0.678799\pi\) | ||||
−0.532637 | + | 0.846344i | \(0.678799\pi\) | |||||||
\(810\) | 8.93444 | 0.313924 | ||||||||
\(811\) | 14.6943 | 0.515986 | 0.257993 | − | 0.966147i | \(-0.416939\pi\) | ||||
0.257993 | + | 0.966147i | \(0.416939\pi\) | |||||||
\(812\) | 187.539 | 6.58132 | ||||||||
\(813\) | 43.8293 | 1.53716 | ||||||||
\(814\) | 83.3186 | 2.92032 | ||||||||
\(815\) | 4.26202 | 0.149292 | ||||||||
\(816\) | 21.7077 | 0.759923 | ||||||||
\(817\) | −13.5335 | −0.473478 | ||||||||
\(818\) | 91.2985 | 3.19218 | ||||||||
\(819\) | 62.2333 | 2.17461 | ||||||||
\(820\) | 12.3028 | 0.429632 | ||||||||
\(821\) | 6.23239 | 0.217512 | 0.108756 | − | 0.994068i | \(-0.465313\pi\) | ||||
0.108756 | + | 0.994068i | \(0.465313\pi\) | |||||||
\(822\) | −21.2325 | −0.740568 | ||||||||
\(823\) | −40.2644 | −1.40353 | −0.701765 | − | 0.712409i | \(-0.747604\pi\) | ||||
−0.701765 | + | 0.712409i | \(0.747604\pi\) | |||||||
\(824\) | −23.7664 | −0.827940 | ||||||||
\(825\) | 37.7348 | 1.31376 | ||||||||
\(826\) | 71.2751 | 2.47998 | ||||||||
\(827\) | 23.4708 | 0.816159 | 0.408080 | − | 0.912946i | \(-0.366199\pi\) | ||||
0.408080 | + | 0.912946i | \(0.366199\pi\) | |||||||
\(828\) | −72.2362 | −2.51038 | ||||||||
\(829\) | −43.1027 | −1.49702 | −0.748509 | − | 0.663124i | \(-0.769230\pi\) | ||||
−0.748509 | + | 0.663124i | \(0.769230\pi\) | |||||||
\(830\) | 4.72548 | 0.164024 | ||||||||
\(831\) | −65.3445 | −2.26677 | ||||||||
\(832\) | 26.8282 | 0.930099 | ||||||||
\(833\) | 32.2591 | 1.11771 | ||||||||
\(834\) | −36.4316 | −1.26152 | ||||||||
\(835\) | −4.37229 | −0.151309 | ||||||||
\(836\) | 26.6839 | 0.922884 | ||||||||
\(837\) | 6.58858 | 0.227735 | ||||||||
\(838\) | −85.7998 | −2.96391 | ||||||||
\(839\) | −18.2383 | −0.629657 | −0.314828 | − | 0.949149i | \(-0.601947\pi\) | ||||
−0.314828 | + | 0.949149i | \(0.601947\pi\) | |||||||
\(840\) | 31.1118 | 1.07346 | ||||||||
\(841\) | 62.0902 | 2.14104 | ||||||||
\(842\) | 80.9099 | 2.78834 | ||||||||
\(843\) | −49.5952 | −1.70815 | ||||||||
\(844\) | −113.160 | −3.89514 | ||||||||
\(845\) | 0.276407 | 0.00950868 | ||||||||
\(846\) | 43.9169 | 1.50989 | ||||||||
\(847\) | 6.21940 | 0.213701 | ||||||||
\(848\) | 24.3249 | 0.835319 | ||||||||
\(849\) | −2.46821 | −0.0847086 | ||||||||
\(850\) | 22.9268 | 0.786382 | ||||||||
\(851\) | −55.4042 | −1.89923 | ||||||||
\(852\) | 149.806 | 5.13228 | ||||||||
\(853\) | −6.43860 | −0.220453 | −0.110227 | − | 0.993906i | \(-0.535158\pi\) | ||||
−0.110227 | + | 0.993906i | \(0.535158\pi\) | |||||||
\(854\) | −121.911 | −4.17172 | ||||||||
\(855\) | −3.66758 | −0.125429 | ||||||||
\(856\) | −71.9711 | −2.45992 | ||||||||
\(857\) | 0.451812 | 0.0154336 | 0.00771680 | − | 0.999970i | \(-0.497544\pi\) | ||||
0.00771680 | + | 0.999970i | \(0.497544\pi\) | |||||||
\(858\) | −71.9540 | −2.45647 | ||||||||
\(859\) | −0.702645 | −0.0239739 | −0.0119870 | − | 0.999928i | \(-0.503816\pi\) | ||||
−0.0119870 | + | 0.999928i | \(0.503816\pi\) | |||||||
\(860\) | 12.9602 | 0.441938 | ||||||||
\(861\) | −75.1237 | −2.56021 | ||||||||
\(862\) | 95.7842 | 3.26242 | ||||||||
\(863\) | 3.86126 | 0.131439 | 0.0657193 | − | 0.997838i | \(-0.479066\pi\) | ||||
0.0657193 | + | 0.997838i | \(0.479066\pi\) | |||||||
\(864\) | −0.713609 | −0.0242775 | ||||||||
\(865\) | 4.85845 | 0.165192 | ||||||||
\(866\) | 14.6828 | 0.498942 | ||||||||
\(867\) | −33.5187 | −1.13835 | ||||||||
\(868\) | −103.673 | −3.51888 | ||||||||
\(869\) | −9.99628 | −0.339100 | ||||||||
\(870\) | 29.8025 | 1.01040 | ||||||||
\(871\) | −14.8487 | −0.503128 | ||||||||
\(872\) | 55.2452 | 1.87084 | ||||||||
\(873\) | 31.5189 | 1.06675 | ||||||||
\(874\) | −26.4908 | −0.896065 | ||||||||
\(875\) | 23.5217 | 0.795180 | ||||||||
\(876\) | 0.728912 | 0.0246277 | ||||||||
\(877\) | 19.6597 | 0.663861 | 0.331930 | − | 0.943304i | \(-0.392300\pi\) | ||||
0.331930 | + | 0.943304i | \(0.392300\pi\) | |||||||
\(878\) | −20.3364 | −0.686320 | ||||||||
\(879\) | 30.9527 | 1.04401 | ||||||||
\(880\) | −6.74754 | −0.227459 | ||||||||
\(881\) | 22.1688 | 0.746885 | 0.373442 | − | 0.927653i | \(-0.378177\pi\) | ||||
0.373442 | + | 0.927653i | \(0.378177\pi\) | |||||||
\(882\) | −141.353 | −4.75960 | ||||||||
\(883\) | 30.1890 | 1.01594 | 0.507970 | − | 0.861375i | \(-0.330396\pi\) | ||||
0.507970 | + | 0.861375i | \(0.330396\pi\) | |||||||
\(884\) | −29.2827 | −0.984884 | ||||||||
\(885\) | 7.58673 | 0.255025 | ||||||||
\(886\) | −5.86698 | −0.197105 | ||||||||
\(887\) | 1.25332 | 0.0420822 | 0.0210411 | − | 0.999779i | \(-0.493302\pi\) | ||||
0.0210411 | + | 0.999779i | \(0.493302\pi\) | |||||||
\(888\) | −140.092 | −4.70118 | ||||||||
\(889\) | −62.8440 | −2.10772 | ||||||||
\(890\) | −2.00275 | −0.0671324 | ||||||||
\(891\) | 22.7206 | 0.761167 | ||||||||
\(892\) | −86.6309 | −2.90062 | ||||||||
\(893\) | 10.7877 | 0.360995 | ||||||||
\(894\) | −35.4881 | −1.18690 | ||||||||
\(895\) | 8.53412 | 0.285264 | ||||||||
\(896\) | −92.3920 | −3.08660 | ||||||||
\(897\) | 47.8471 | 1.59757 | ||||||||
\(898\) | 50.7644 | 1.69403 | ||||||||
\(899\) | −50.3553 | −1.67944 | ||||||||
\(900\) | −67.2901 | −2.24300 | ||||||||
\(901\) | 10.9705 | 0.365482 | ||||||||
\(902\) | 46.7089 | 1.55524 | ||||||||
\(903\) | −79.1378 | −2.63354 | ||||||||
\(904\) | −14.7283 | −0.489855 | ||||||||
\(905\) | −4.73245 | −0.157312 | ||||||||
\(906\) | −30.7121 | −1.02034 | ||||||||
\(907\) | 11.7446 | 0.389973 | 0.194986 | − | 0.980806i | \(-0.437534\pi\) | ||||
0.194986 | + | 0.980806i | \(0.437534\pi\) | |||||||
\(908\) | −5.03703 | −0.167160 | ||||||||
\(909\) | 30.5540 | 1.01341 | ||||||||
\(910\) | −21.8556 | −0.724508 | ||||||||
\(911\) | −57.3044 | −1.89858 | −0.949290 | − | 0.314400i | \(-0.898197\pi\) | ||||
−0.949290 | + | 0.314400i | \(0.898197\pi\) | |||||||
\(912\) | −23.3649 | −0.773688 | ||||||||
\(913\) | 12.0170 | 0.397706 | ||||||||
\(914\) | 6.30429 | 0.208527 | ||||||||
\(915\) | −12.9766 | −0.428993 | ||||||||
\(916\) | 99.7988 | 3.29745 | ||||||||
\(917\) | 19.9722 | 0.659539 | ||||||||
\(918\) | −6.02493 | −0.198852 | ||||||||
\(919\) | 37.2022 | 1.22719 | 0.613594 | − | 0.789621i | \(-0.289723\pi\) | ||||
0.613594 | + | 0.789621i | \(0.289723\pi\) | |||||||
\(920\) | 12.8632 | 0.424087 | ||||||||
\(921\) | 0.800339 | 0.0263721 | ||||||||
\(922\) | −39.3719 | −1.29664 | ||||||||
\(923\) | −53.3608 | −1.75639 | ||||||||
\(924\) | 156.035 | 5.13319 | ||||||||
\(925\) | −51.6106 | −1.69695 | ||||||||
\(926\) | −35.6337 | −1.17100 | ||||||||
\(927\) | 16.3829 | 0.538085 | ||||||||
\(928\) | 5.45397 | 0.179035 | ||||||||
\(929\) | 5.10800 | 0.167588 | 0.0837941 | − | 0.996483i | \(-0.473296\pi\) | ||||
0.0837941 | + | 0.996483i | \(0.473296\pi\) | |||||||
\(930\) | −16.4750 | −0.540237 | ||||||||
\(931\) | −34.7217 | −1.13796 | ||||||||
\(932\) | 71.6913 | 2.34833 | ||||||||
\(933\) | −3.84201 | −0.125782 | ||||||||
\(934\) | −46.2261 | −1.51256 | ||||||||
\(935\) | −3.04315 | −0.0995216 | ||||||||
\(936\) | 65.0604 | 2.12657 | ||||||||
\(937\) | 7.37990 | 0.241091 | 0.120545 | − | 0.992708i | \(-0.461536\pi\) | ||||
0.120545 | + | 0.992708i | \(0.461536\pi\) | |||||||
\(938\) | 48.0729 | 1.56963 | ||||||||
\(939\) | 26.5099 | 0.865117 | ||||||||
\(940\) | −10.3306 | −0.336948 | ||||||||
\(941\) | −20.6212 | −0.672231 | −0.336115 | − | 0.941821i | \(-0.609113\pi\) | ||||
−0.336115 | + | 0.941821i | \(0.609113\pi\) | |||||||
\(942\) | 106.741 | 3.47781 | ||||||||
\(943\) | −31.0599 | −1.01145 | ||||||||
\(944\) | 25.9914 | 0.845947 | ||||||||
\(945\) | −3.01203 | −0.0979815 | ||||||||
\(946\) | 49.2047 | 1.59978 | ||||||||
\(947\) | −20.2395 | −0.657696 | −0.328848 | − | 0.944383i | \(-0.606660\pi\) | ||||
−0.328848 | + | 0.944383i | \(0.606660\pi\) | |||||||
\(948\) | 33.1479 | 1.07659 | ||||||||
\(949\) | −0.259637 | −0.00842818 | ||||||||
\(950\) | −24.6769 | −0.800626 | ||||||||
\(951\) | 55.4768 | 1.79896 | ||||||||
\(952\) | 48.0703 | 1.55797 | ||||||||
\(953\) | 28.5283 | 0.924122 | 0.462061 | − | 0.886848i | \(-0.347110\pi\) | ||||
0.462061 | + | 0.886848i | \(0.347110\pi\) | |||||||
\(954\) | −48.0707 | −1.55635 | ||||||||
\(955\) | −2.33086 | −0.0754248 | ||||||||
\(956\) | 86.8216 | 2.80801 | ||||||||
\(957\) | 75.7886 | 2.44990 | ||||||||
\(958\) | −34.6865 | −1.12067 | ||||||||
\(959\) | −16.4006 | −0.529605 | ||||||||
\(960\) | −9.24529 | −0.298391 | ||||||||
\(961\) | −3.16329 | −0.102042 | ||||||||
\(962\) | 98.4129 | 3.17296 | ||||||||
\(963\) | 49.6119 | 1.59872 | ||||||||
\(964\) | 70.7816 | 2.27972 | ||||||||
\(965\) | 12.9903 | 0.418173 | ||||||||
\(966\) | −154.906 | −4.98402 | ||||||||
\(967\) | 34.5664 | 1.11158 | 0.555790 | − | 0.831323i | \(-0.312416\pi\) | ||||
0.555790 | + | 0.831323i | \(0.312416\pi\) | |||||||
\(968\) | 6.50193 | 0.208980 | ||||||||
\(969\) | −10.5376 | −0.338516 | ||||||||
\(970\) | −11.0691 | −0.355407 | ||||||||
\(971\) | 43.3283 | 1.39047 | 0.695236 | − | 0.718781i | \(-0.255300\pi\) | ||||
0.695236 | + | 0.718781i | \(0.255300\pi\) | |||||||
\(972\) | −90.5416 | −2.90412 | ||||||||
\(973\) | −28.1409 | −0.902157 | ||||||||
\(974\) | 5.45088 | 0.174658 | ||||||||
\(975\) | 44.5710 | 1.42741 | ||||||||
\(976\) | −44.4565 | −1.42302 | ||||||||
\(977\) | −27.3148 | −0.873879 | −0.436940 | − | 0.899491i | \(-0.643938\pi\) | ||||
−0.436940 | + | 0.899491i | \(0.643938\pi\) | |||||||
\(978\) | −53.6573 | −1.71577 | ||||||||
\(979\) | −5.09306 | −0.162775 | ||||||||
\(980\) | 33.2507 | 1.06216 | ||||||||
\(981\) | −38.0823 | −1.21587 | ||||||||
\(982\) | 94.1580 | 3.00470 | ||||||||
\(983\) | 21.7810 | 0.694706 | 0.347353 | − | 0.937734i | \(-0.387080\pi\) | ||||
0.347353 | + | 0.937734i | \(0.387080\pi\) | |||||||
\(984\) | −78.5363 | −2.50365 | ||||||||
\(985\) | 1.94964 | 0.0621209 | ||||||||
\(986\) | 46.0474 | 1.46645 | ||||||||
\(987\) | 63.0813 | 2.00790 | ||||||||
\(988\) | 31.5181 | 1.00272 | ||||||||
\(989\) | −32.7196 | −1.04042 | ||||||||
\(990\) | 13.3345 | 0.423797 | ||||||||
\(991\) | −14.0850 | −0.447423 | −0.223712 | − | 0.974655i | \(-0.571817\pi\) | ||||
−0.223712 | + | 0.974655i | \(0.571817\pi\) | |||||||
\(992\) | −3.01499 | −0.0957261 | ||||||||
\(993\) | 6.85399 | 0.217505 | ||||||||
\(994\) | 172.757 | 5.47951 | ||||||||
\(995\) | −7.54140 | −0.239078 | ||||||||
\(996\) | −39.8488 | −1.26266 | ||||||||
\(997\) | −32.1257 | −1.01743 | −0.508716 | − | 0.860934i | \(-0.669880\pi\) | ||||
−0.508716 | + | 0.860934i | \(0.669880\pi\) | |||||||
\(998\) | −72.3715 | −2.29088 | ||||||||
\(999\) | 13.5628 | 0.429107 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))