Newspace parameters
Level: | \( N \) | \(=\) | \( 540 = 2^{2} \cdot 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 540.n (of order \(6\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(4.31192170915\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 180) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 359.7 | ||
Character | \(\chi\) | \(=\) | 540.359 |
Dual form | 540.2.n.d.179.7 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/540\mathbb{Z}\right)^\times\).
\(n\) | \(217\) | \(271\) | \(461\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.937387 | − | 1.05892i | −0.662833 | − | 0.748767i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.242609 | + | 1.98523i | −0.121305 | + | 0.992615i | ||||
\(5\) | −0.520093 | − | 2.17474i | −0.232593 | − | 0.972574i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.550457 | + | 0.953419i | −0.208053 | + | 0.360358i | −0.951101 | − | 0.308880i | \(-0.900046\pi\) |
0.743048 | + | 0.669238i | \(0.233379\pi\) | |||||||
\(8\) | 2.32961 | − | 1.60403i | 0.823643 | − | 0.567109i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.81534 | + | 2.58931i | −0.574062 | + | 0.818812i | ||||
\(11\) | −2.84126 | + | 4.92120i | −0.856671 | + | 1.48380i | 0.0184153 | + | 0.999830i | \(0.494138\pi\) |
−0.875086 | + | 0.483967i | \(0.839195\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.07548 | + | 1.19828i | −0.575636 | + | 0.332343i | −0.759397 | − | 0.650627i | \(-0.774506\pi\) |
0.183761 | + | 0.982971i | \(0.441173\pi\) | |||||||
\(14\) | 1.52558 | − | 0.310835i | 0.407729 | − | 0.0830742i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.88228 | − | 0.963271i | −0.970570 | − | 0.240818i | ||||
\(17\) | −1.29175 | −0.313294 | −0.156647 | − | 0.987655i | \(-0.550069\pi\) | ||||
−0.156647 | + | 0.987655i | \(0.550069\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 2.78362i | − | 0.638607i | −0.947652 | − | 0.319304i | \(-0.896551\pi\) | ||
0.947652 | − | 0.319304i | \(-0.103449\pi\) | |||||||
\(20\) | 4.44354 | − | 0.504891i | 0.993607 | − | 0.112897i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 7.87450 | − | 1.60442i | 1.67885 | − | 0.342063i | ||||
\(23\) | −1.82546 | + | 1.05393i | −0.380635 | + | 0.219760i | −0.678095 | − | 0.734975i | \(-0.737194\pi\) |
0.297459 | + | 0.954735i | \(0.403861\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.45901 | + | 2.26214i | −0.891801 | + | 0.452427i | ||||
\(26\) | 3.21441 | + | 1.07451i | 0.630398 | + | 0.210729i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.75921 | − | 1.32409i | −0.332459 | − | 0.250230i | ||||
\(29\) | 5.51723 | + | 3.18537i | 1.02452 | + | 0.591509i | 0.915411 | − | 0.402521i | \(-0.131866\pi\) |
0.109112 | + | 0.994029i | \(0.465199\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.78385 | + | 1.60725i | −0.499994 | + | 0.288671i | −0.728711 | − | 0.684821i | \(-0.759880\pi\) |
0.228717 | + | 0.973493i | \(0.426547\pi\) | |||||||
\(32\) | 2.61918 | + | 5.01397i | 0.463010 | + | 0.886353i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.21087 | + | 1.36785i | 0.207662 | + | 0.234584i | ||||
\(35\) | 2.35973 | + | 0.701235i | 0.398867 | + | 0.118530i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.51687i | 1.07137i | 0.844419 | + | 0.535683i | \(0.179946\pi\) | ||||
−0.844419 | + | 0.535683i | \(0.820054\pi\) | |||||||
\(38\) | −2.94763 | + | 2.60933i | −0.478168 | + | 0.423290i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.69996 | − | 4.23206i | −0.743129 | − | 0.669148i | ||||
\(41\) | −6.35642 | + | 3.66988i | −0.992706 | + | 0.573139i | −0.906082 | − | 0.423102i | \(-0.860941\pi\) |
−0.0866240 | + | 0.996241i | \(0.527608\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.25473 | + | 3.90530i | −0.343843 | + | 0.595553i | −0.985143 | − | 0.171737i | \(-0.945062\pi\) |
0.641300 | + | 0.767290i | \(0.278395\pi\) | |||||||
\(44\) | −9.08040 | − | 6.83448i | −1.36892 | − | 1.03034i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.82719 | + | 0.945071i | 0.416847 | + | 0.139343i | ||||
\(47\) | 8.09628 | + | 4.67439i | 1.18096 | + | 0.681830i | 0.956237 | − | 0.292592i | \(-0.0945179\pi\) |
0.224726 | + | 0.974422i | \(0.427851\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.89400 | + | 5.01255i | 0.413428 | + | 0.716078i | ||||
\(50\) | 6.57523 | + | 2.60122i | 0.929878 | + | 0.367868i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.87533 | − | 4.41103i | −0.260062 | − | 0.611700i | ||||
\(53\) | −11.5954 | −1.59275 | −0.796377 | − | 0.604800i | \(-0.793253\pi\) | ||||
−0.796377 | + | 0.604800i | \(0.793253\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 12.1801 | + | 3.61952i | 1.64236 | + | 0.488056i | ||||
\(56\) | 0.246959 | + | 3.10404i | 0.0330013 | + | 0.414795i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.79874 | − | 8.82821i | −0.236186 | − | 1.15920i | ||||
\(59\) | −3.66237 | − | 6.34341i | −0.476800 | − | 0.825842i | 0.522846 | − | 0.852427i | \(-0.324870\pi\) |
−0.999647 | + | 0.0265849i | \(0.991537\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.48990 | − | 4.31263i | 0.318799 | − | 0.552175i | −0.661439 | − | 0.749999i | \(-0.730054\pi\) |
0.980238 | + | 0.197823i | \(0.0633873\pi\) | |||||||
\(62\) | 4.31149 | + | 1.44124i | 0.547560 | + | 0.183038i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.85419 | − | 7.47353i | 0.356774 | − | 0.934191i | ||||
\(65\) | 3.68540 | + | 3.89043i | 0.457117 | + | 0.482548i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.85016 | − | 3.20457i | −0.226033 | − | 0.391500i | 0.730596 | − | 0.682810i | \(-0.239242\pi\) |
−0.956629 | + | 0.291310i | \(0.905909\pi\) | |||||||
\(68\) | 0.313389 | − | 2.56441i | 0.0380041 | − | 0.310981i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.46943 | − | 3.15608i | −0.175631 | − | 0.377224i | ||||
\(71\) | 12.6950 | 1.50662 | 0.753311 | − | 0.657664i | \(-0.228455\pi\) | ||||
0.753311 | + | 0.657664i | \(0.228455\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.86891i | 1.15507i | 0.816366 | + | 0.577534i | \(0.195985\pi\) | ||||
−0.816366 | + | 0.577534i | \(0.804015\pi\) | |||||||
\(74\) | 6.90082 | − | 6.10883i | 0.802204 | − | 0.710137i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.52614 | + | 0.675333i | 0.633891 | + | 0.0774660i | ||||
\(77\) | −3.12798 | − | 5.41781i | −0.356466 | − | 0.617417i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.975531 | + | 0.563223i | 0.109756 | + | 0.0633676i | 0.553873 | − | 0.832601i | \(-0.313149\pi\) |
−0.444117 | + | 0.895969i | \(0.646483\pi\) | |||||||
\(80\) | −0.0757197 | + | 8.94395i | −0.00846572 | + | 0.999964i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 9.84453 | + | 3.29082i | 1.08715 | + | 0.363410i | ||||
\(83\) | −9.98138 | − | 5.76275i | −1.09560 | − | 0.632544i | −0.160537 | − | 0.987030i | \(-0.551323\pi\) |
−0.935062 | + | 0.354485i | \(0.884656\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.671827 | + | 2.80921i | 0.0728699 | + | 0.304702i | ||||
\(86\) | 6.24894 | − | 1.27321i | 0.673841 | − | 0.137294i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.27471 | + | 16.0219i | 0.135885 | + | 1.70794i | ||||
\(89\) | − | 9.16815i | − | 0.971822i | −0.874008 | − | 0.485911i | \(-0.838488\pi\) | ||
0.874008 | − | 0.485911i | \(-0.161512\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 2.63841i | − | 0.276580i | ||||||
\(92\) | −1.64942 | − | 3.87966i | −0.171964 | − | 0.404482i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.63956 | − | 12.9550i | −0.272250 | − | 1.33621i | ||||
\(95\) | −6.05366 | + | 1.44774i | −0.621093 | + | 0.148535i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.1257 | − | 6.42344i | −1.12965 | − | 0.652202i | −0.185801 | − | 0.982587i | \(-0.559488\pi\) |
−0.943846 | + | 0.330386i | \(0.892821\pi\) | |||||||
\(98\) | 2.59507 | − | 7.76320i | 0.262142 | − | 0.784201i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.40906 | − | 9.40097i | −0.340906 | − | 0.940097i | ||||
\(101\) | −14.4999 | − | 8.37150i | −1.44279 | − | 0.832995i | −0.444755 | − | 0.895652i | \(-0.646709\pi\) |
−0.998035 | + | 0.0626572i | \(0.980043\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.679292 | + | 1.17657i | 0.0669327 | + | 0.115931i | 0.897550 | − | 0.440913i | \(-0.145345\pi\) |
−0.830617 | + | 0.556844i | \(0.812012\pi\) | |||||||
\(104\) | −2.91300 | + | 6.12066i | −0.285643 | + | 0.600181i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.8694 | + | 12.2786i | 1.05573 | + | 1.19260i | ||||
\(107\) | 2.97211i | 0.287324i | 0.989627 | + | 0.143662i | \(0.0458879\pi\) | ||||
−0.989627 | + | 0.143662i | \(0.954112\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.12076 | 0.490480 | 0.245240 | − | 0.969462i | \(-0.421133\pi\) | ||||
0.245240 | + | 0.969462i | \(0.421133\pi\) | |||||||
\(110\) | −7.58466 | − | 16.2906i | −0.723169 | − | 1.55324i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.05543 | − | 3.17120i | 0.288711 | − | 0.299650i | ||||
\(113\) | 4.18521 | + | 7.24900i | 0.393711 | + | 0.681928i | 0.992936 | − | 0.118653i | \(-0.0378576\pi\) |
−0.599224 | + | 0.800581i | \(0.704524\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.24144 | + | 3.42177i | 0.302266 | + | 0.319082i | ||||
\(116\) | −7.66223 | + | 10.1802i | −0.711420 | + | 0.945205i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.28409 | + | 9.82438i | −0.302325 | + | 0.904408i | ||||
\(119\) | 0.711050 | − | 1.23157i | 0.0651818 | − | 0.112898i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.6455 | − | 18.4385i | −0.967770 | − | 1.67623i | ||||
\(122\) | −6.90071 | + | 1.40601i | −0.624761 | + | 0.127294i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.51538 | − | 5.91651i | −0.225888 | − | 0.531318i | ||||
\(125\) | 7.23866 | + | 8.52067i | 0.647445 | + | 0.762112i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.14729 | −0.456748 | −0.228374 | − | 0.973573i | \(-0.573341\pi\) | ||||
−0.228374 | + | 0.973573i | \(0.573341\pi\) | |||||||
\(128\) | −10.5893 | + | 3.98324i | −0.935973 | + | 0.352072i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.664991 | − | 7.54937i | 0.0583236 | − | 0.662123i | ||||
\(131\) | −7.10028 | − | 12.2980i | −0.620354 | − | 1.07449i | −0.989420 | − | 0.145082i | \(-0.953656\pi\) |
0.369065 | − | 0.929403i | \(-0.379678\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.65396 | + | 1.53226i | 0.230127 | + | 0.132864i | ||||
\(134\) | −1.65906 | + | 4.96309i | −0.143321 | + | 0.428746i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.00927 | + | 2.07199i | −0.258042 | + | 0.177672i | ||||
\(137\) | 3.47139 | − | 6.01263i | 0.296581 | − | 0.513693i | −0.678770 | − | 0.734351i | \(-0.737487\pi\) |
0.975351 | + | 0.220657i | \(0.0708202\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.3321 | − | 5.96523i | 0.876356 | − | 0.505964i | 0.00690070 | − | 0.999976i | \(-0.497803\pi\) |
0.869455 | + | 0.494012i | \(0.164470\pi\) | |||||||
\(140\) | −1.96461 | + | 4.51448i | −0.166039 | + | 0.381543i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −11.9002 | − | 13.4430i | −0.998640 | − | 1.12811i | ||||
\(143\) | − | 13.6185i | − | 1.13884i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.05789 | − | 13.6552i | 0.336990 | − | 1.13401i | ||||
\(146\) | 10.4504 | − | 9.25100i | 0.864878 | − | 0.765618i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −12.9375 | − | 1.58105i | −1.06345 | − | 0.129962i | ||||
\(149\) | −4.98019 | + | 2.87531i | −0.407993 | + | 0.235555i | −0.689927 | − | 0.723879i | \(-0.742357\pi\) |
0.281934 | + | 0.959434i | \(0.409024\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.85084 | − | 1.06858i | −0.150619 | − | 0.0869599i | 0.422796 | − | 0.906225i | \(-0.361049\pi\) |
−0.573415 | + | 0.819265i | \(0.694382\pi\) | |||||||
\(152\) | −4.46501 | − | 6.48477i | −0.362160 | − | 0.525984i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.80489 | + | 8.39086i | −0.226024 | + | 0.676155i | ||||
\(155\) | 4.94322 | + | 5.21823i | 0.397049 | + | 0.419138i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.70855 | − | 5.02788i | 0.695018 | − | 0.401269i | −0.110471 | − | 0.993879i | \(-0.535236\pi\) |
0.805489 | + | 0.592611i | \(0.201903\pi\) | |||||||
\(158\) | −0.318044 | − | 1.56097i | −0.0253022 | − | 0.124184i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 9.54188 | − | 8.30377i | 0.754352 | − | 0.656470i | ||||
\(161\) | − | 2.32057i | − | 0.182887i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −18.2146 | −1.42668 | −0.713339 | − | 0.700819i | \(-0.752818\pi\) | ||||
−0.713339 | + | 0.700819i | \(0.752818\pi\) | |||||||
\(164\) | −5.74343 | − | 13.5093i | −0.448487 | − | 1.05490i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.25415 | + | 15.9714i | 0.252571 | + | 1.23962i | ||||
\(167\) | 6.44716 | − | 3.72227i | 0.498896 | − | 0.288038i | −0.229362 | − | 0.973341i | \(-0.573664\pi\) |
0.728258 | + | 0.685304i | \(0.240330\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.62824 | + | 6.28430i | −0.279096 | + | 0.483408i | ||||
\(170\) | 2.34496 | − | 3.34473i | 0.179850 | − | 0.256529i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.20591 | − | 5.42361i | −0.549445 | − | 0.413547i | ||||
\(173\) | −4.33441 | + | 7.50742i | −0.329539 | + | 0.570778i | −0.982420 | − | 0.186682i | \(-0.940227\pi\) |
0.652881 | + | 0.757460i | \(0.273560\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.297727 | − | 5.49651i | 0.0225061 | − | 0.415497i | ||||
\(176\) | 15.7710 | − | 16.3686i | 1.18878 | − | 1.23383i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.70831 | + | 8.59411i | −0.727668 | + | 0.644156i | ||||
\(179\) | −1.10988 | −0.0829560 | −0.0414780 | − | 0.999139i | \(-0.513207\pi\) | ||||
−0.0414780 | + | 0.999139i | \(0.513207\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.6629 | −0.941229 | −0.470615 | − | 0.882339i | \(-0.655968\pi\) | ||||
−0.470615 | + | 0.882339i | \(0.655968\pi\) | |||||||
\(182\) | −2.79385 | + | 2.47321i | −0.207094 | + | 0.183327i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.56209 | + | 5.38335i | −0.188880 | + | 0.396866i | ||||
\(185\) | 14.1725 | − | 3.38938i | 1.04198 | − | 0.249192i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.67018 | − | 6.35694i | 0.268390 | − | 0.464865i | ||||
\(188\) | −11.2440 | + | 14.9389i | −0.820051 | + | 1.08953i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 7.20767 | + | 5.05323i | 0.522899 | + | 0.366600i | ||||
\(191\) | −11.3827 | + | 19.7154i | −0.823625 | + | 1.42656i | 0.0793411 | + | 0.996848i | \(0.474718\pi\) |
−0.902966 | + | 0.429712i | \(0.858615\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.0687 | − | 5.81319i | 0.724764 | − | 0.418443i | −0.0917396 | − | 0.995783i | \(-0.529243\pi\) |
0.816504 | + | 0.577340i | \(0.195909\pi\) | |||||||
\(194\) | 3.62723 | + | 17.8025i | 0.260420 | + | 1.27814i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −10.6532 | + | 4.52916i | −0.760941 | + | 0.323511i | ||||
\(197\) | 12.2003 | 0.869238 | 0.434619 | − | 0.900614i | \(-0.356883\pi\) | ||||
0.434619 | + | 0.900614i | \(0.356883\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.07921i | 0.501832i | 0.968009 | + | 0.250916i | \(0.0807318\pi\) | ||||
−0.968009 | + | 0.250916i | \(0.919268\pi\) | |||||||
\(200\) | −6.75923 | + | 12.4223i | −0.477950 | + | 0.878387i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.72727 | + | 23.2015i | 0.332609 | + | 1.63245i | ||||
\(203\) | −6.07399 | + | 3.50682i | −0.426310 | + | 0.246130i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 11.2870 | + | 11.9149i | 0.788316 | + | 0.832172i | ||||
\(206\) | 0.609128 | − | 1.82222i | 0.0424400 | − | 0.126960i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 9.21188 | − | 2.65281i | 0.638729 | − | 0.183939i | ||||
\(209\) | 13.6988 | + | 7.90899i | 0.947564 | + | 0.547076i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.61368 | + | 3.24106i | −0.386462 | + | 0.223124i | −0.680626 | − | 0.732631i | \(-0.738292\pi\) |
0.294164 | + | 0.955755i | \(0.404959\pi\) | |||||||
\(212\) | 2.81316 | − | 23.0196i | 0.193209 | − | 1.58099i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.14721 | − | 2.78601i | 0.215139 | − | 0.190448i | ||||
\(215\) | 9.66569 | + | 2.87233i | 0.659195 | + | 0.195891i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 3.53890i | − | 0.240236i | ||||||
\(218\) | −4.80014 | − | 5.42246i | −0.325106 | − | 0.367255i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −10.1406 | + | 23.3021i | −0.683677 | + | 1.57103i | ||||
\(221\) | 2.68100 | − | 1.54787i | 0.180343 | − | 0.104121i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.84799 | − | 13.5931i | 0.525540 | − | 0.910263i | −0.474017 | − | 0.880516i | \(-0.657197\pi\) |
0.999557 | − | 0.0297470i | \(-0.00947015\pi\) | |||||||
\(224\) | −6.22216 | − | 0.262800i | −0.415735 | − | 0.0175590i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.75292 | − | 11.2269i | 0.249640 | − | 0.746803i | ||||
\(227\) | 0.169745 | + | 0.0980022i | 0.0112664 | + | 0.00650463i | 0.505623 | − | 0.862755i | \(-0.331263\pi\) |
−0.494356 | + | 0.869259i | \(0.664596\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.825139 | + | 1.42918i | 0.0545267 | + | 0.0944431i | 0.892000 | − | 0.452035i | \(-0.149302\pi\) |
−0.837474 | + | 0.546478i | \(0.815968\pi\) | |||||||
\(230\) | 0.584884 | − | 6.63994i | 0.0385661 | − | 0.437825i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 17.9624 | − | 1.42910i | 1.17929 | − | 0.0938248i | ||||
\(233\) | 20.2270 | 1.32512 | 0.662559 | − | 0.749010i | \(-0.269470\pi\) | ||||
0.662559 | + | 0.749010i | \(0.269470\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.95477 | − | 20.0384i | 0.388447 | − | 1.30716i | ||||
\(236\) | 13.4817 | − | 5.73168i | 0.877581 | − | 0.373101i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.97066 | + | 0.401520i | −0.127739 | + | 0.0260267i | ||||
\(239\) | 10.1646 | + | 17.6056i | 0.657494 | + | 1.13881i | 0.981262 | + | 0.192676i | \(0.0617168\pi\) |
−0.323769 | + | 0.946136i | \(0.604950\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.62268 | − | 14.9349i | 0.555436 | − | 0.962043i | −0.442434 | − | 0.896801i | \(-0.645885\pi\) |
0.997869 | − | 0.0652417i | \(-0.0207818\pi\) | |||||||
\(242\) | −9.54590 | + | 28.5567i | −0.613634 | + | 1.83569i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.95749 | + | 5.98930i | 0.509426 | + | 0.383426i | ||||
\(245\) | 9.39585 | − | 8.90068i | 0.600279 | − | 0.568644i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.33556 | + | 5.77737i | 0.212237 | + | 0.367605i | ||||
\(248\) | −3.90720 | + | 8.20965i | −0.248108 | + | 0.521313i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.23725 | − | 15.6523i | 0.141496 | − | 0.989939i | ||||
\(251\) | −9.92020 | −0.626157 | −0.313079 | − | 0.949727i | \(-0.601360\pi\) | ||||
−0.313079 | + | 0.949727i | \(0.601360\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 11.9780i | − | 0.753048i | ||||||
\(254\) | 4.82501 | + | 5.45055i | 0.302748 | + | 0.341998i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.1442 | + | 7.47938i | 0.884014 | + | 0.467461i | ||||
\(257\) | 8.67485 | + | 15.0253i | 0.541122 | + | 0.937252i | 0.998840 | + | 0.0481539i | \(0.0153338\pi\) |
−0.457717 | + | 0.889098i | \(0.651333\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.21330 | − | 3.58725i | −0.386076 | − | 0.222901i | ||||
\(260\) | −8.61750 | + | 6.37251i | −0.534435 | + | 0.395206i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −6.36689 | + | 19.0466i | −0.393348 | + | 1.17671i | ||||
\(263\) | 8.32487 | + | 4.80637i | 0.513334 | + | 0.296373i | 0.734203 | − | 0.678930i | \(-0.237556\pi\) |
−0.220869 | + | 0.975303i | \(0.570889\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.03070 | + | 25.2171i | 0.370463 | + | 1.54907i | ||||
\(266\) | −0.865248 | − | 4.24665i | −0.0530518 | − | 0.260379i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.81068 | − | 2.89553i | 0.416028 | − | 0.176873i | ||||
\(269\) | 1.34482i | 0.0819953i | 0.999159 | + | 0.0409977i | \(0.0130536\pi\) | ||||
−0.999159 | + | 0.0409977i | \(0.986946\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 21.7288i | 1.31993i | 0.751297 | + | 0.659964i | \(0.229429\pi\) | ||||
−0.751297 | + | 0.659964i | \(0.770571\pi\) | |||||||
\(272\) | 5.01492 | + | 1.24430i | 0.304074 | + | 0.0754468i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −9.62091 | + | 1.96025i | −0.581221 | + | 0.118423i | ||||
\(275\) | 1.53676 | − | 28.3710i | 0.0926701 | − | 1.71083i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.0501 | + | 6.95713i | 0.724021 | + | 0.418014i | 0.816231 | − | 0.577726i | \(-0.196060\pi\) |
−0.0922100 | + | 0.995740i | \(0.529393\pi\) | |||||||
\(278\) | −16.0018 | − | 5.34908i | −0.959727 | − | 0.320817i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.62205 | − | 2.15146i | 0.395743 | − | 0.128575i | ||||
\(281\) | −10.0948 | − | 5.82824i | −0.602206 | − | 0.347684i | 0.167703 | − | 0.985838i | \(-0.446365\pi\) |
−0.769909 | + | 0.638154i | \(0.779698\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.21367 | + | 10.7624i | 0.369365 | + | 0.639758i | 0.989466 | − | 0.144763i | \(-0.0462420\pi\) |
−0.620102 | + | 0.784521i | \(0.712909\pi\) | |||||||
\(284\) | −3.07993 | + | 25.2026i | −0.182760 | + | 1.49550i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −14.4209 | + | 12.7658i | −0.852723 | + | 0.754858i | ||||
\(287\) | − | 8.08044i | − | 0.476973i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −15.3314 | −0.901847 | ||||||||
\(290\) | −18.2636 | + | 8.50328i | −1.07247 | + | 0.499330i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −19.5921 | − | 2.39429i | −1.14654 | − | 0.140115i | ||||
\(293\) | −4.77472 | − | 8.27006i | −0.278942 | − | 0.483142i | 0.692180 | − | 0.721725i | \(-0.256650\pi\) |
−0.971122 | + | 0.238583i | \(0.923317\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −11.8905 | + | 11.2639i | −0.692292 | + | 0.655808i | ||||
\(296\) | 10.4532 | + | 15.1818i | 0.607582 | + | 0.882423i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.71308 | + | 2.57832i | 0.446807 | + | 0.149358i | ||||
\(299\) | 2.52581 | − | 4.37484i | 0.146072 | − | 0.253003i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.48226 | − | 4.29940i | −0.143075 | − | 0.247813i | ||||
\(302\) | 0.603413 | + | 2.96156i | 0.0347225 | + | 0.170418i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.68138 | + | 10.8068i | −0.153788 | + | 0.619813i | ||||
\(305\) | −10.6738 | − | 3.17192i | −0.611182 | − | 0.181623i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 13.4685 | 0.768689 | 0.384345 | − | 0.923190i | \(-0.374427\pi\) | ||||
0.384345 | + | 0.923190i | \(0.374427\pi\) | |||||||
\(308\) | 11.5145 | − | 4.89534i | 0.656099 | − | 0.278938i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.891953 | − | 10.1260i | 0.0506595 | − | 0.575116i | ||||
\(311\) | 5.13110 | + | 8.88732i | 0.290958 | + | 0.503954i | 0.974037 | − | 0.226391i | \(-0.0726927\pi\) |
−0.683079 | + | 0.730345i | \(0.739359\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.39067 | + | 0.802903i | 0.0786052 | + | 0.0453827i | 0.538787 | − | 0.842442i | \(-0.318883\pi\) |
−0.460182 | + | 0.887824i | \(0.652216\pi\) | |||||||
\(314\) | −13.4874 | − | 4.50855i | −0.761138 | − | 0.254432i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.35480 | + | 1.80001i | −0.0762135 | + | 0.101259i | ||||
\(317\) | −2.23127 | + | 3.86467i | −0.125320 | + | 0.217061i | −0.921858 | − | 0.387528i | \(-0.873329\pi\) |
0.796538 | + | 0.604589i | \(0.206663\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −31.3517 | + | 18.1009i | −1.75536 | + | 1.01346i | ||||
\(320\) | −17.7374 | − | 2.32021i | −0.991553 | − | 0.129704i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.45730 | + | 2.17528i | −0.136940 | + | 0.121223i | ||||
\(323\) | 3.59573i | 0.200072i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.54392 | − | 10.0382i | 0.362992 | − | 0.556818i | ||||
\(326\) | 17.0741 | + | 19.2878i | 0.945649 | + | 1.06825i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −8.92141 | + | 18.7453i | −0.492602 | + | 1.03503i | ||||
\(329\) | −8.91330 | + | 5.14610i | −0.491406 | + | 0.283713i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.2107 | − | 5.89512i | −0.561228 | − | 0.324025i | 0.192410 | − | 0.981315i | \(-0.438370\pi\) |
−0.753638 | + | 0.657289i | \(0.771703\pi\) | |||||||
\(332\) | 13.8620 | − | 18.4172i | 0.760775 | − | 1.01078i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.98506 | − | 3.33780i | −0.546358 | − | 0.182636i | ||||
\(335\) | −6.00686 | + | 5.69029i | −0.328190 | + | 0.310894i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.14715 | − | 5.28111i | 0.498277 | − | 0.287680i | −0.229725 | − | 0.973256i | \(-0.573783\pi\) |
0.728002 | + | 0.685575i | \(0.240449\pi\) | |||||||
\(338\) | 10.0556 | − | 2.04882i | 0.546954 | − | 0.111441i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −5.73993 | + | 0.652191i | −0.311291 | + | 0.0353700i | ||||
\(341\) | − | 18.2665i | − | 0.989186i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.0785 | −0.760166 | ||||||||
\(344\) | 1.01157 | + | 12.7145i | 0.0545401 | + | 0.685519i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 12.0127 | − | 2.44758i | 0.645809 | − | 0.131583i | ||||
\(347\) | −20.1864 | + | 11.6546i | −1.08366 | + | 0.625652i | −0.931882 | − | 0.362763i | \(-0.881834\pi\) |
−0.151779 | + | 0.988414i | \(0.548500\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.84689 | − | 4.93095i | 0.152390 | − | 0.263948i | −0.779715 | − | 0.626134i | \(-0.784636\pi\) |
0.932106 | + | 0.362186i | \(0.117970\pi\) | |||||||
\(350\) | −6.09943 | + | 4.83709i | −0.326028 | + | 0.258553i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −32.1165 | − | 1.35648i | −1.71182 | − | 0.0723004i | ||||
\(353\) | 0.761369 | − | 1.31873i | 0.0405236 | − | 0.0701889i | −0.845052 | − | 0.534684i | \(-0.820431\pi\) |
0.885576 | + | 0.464495i | \(0.153764\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.60259 | − | 27.6084i | −0.350429 | − | 1.46530i | ||||
\(356\) | 18.2009 | + | 2.22428i | 0.964645 | + | 0.117887i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.04038 | + | 1.17527i | 0.0549860 | + | 0.0621148i | ||||
\(359\) | 9.46115 | 0.499341 | 0.249670 | − | 0.968331i | \(-0.419678\pi\) | ||||
0.249670 | + | 0.968331i | \(0.419678\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 11.2514 | 0.592181 | ||||||||
\(362\) | 11.8701 | + | 13.4090i | 0.623878 | + | 0.704762i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.23785 | + | 0.640102i | 0.274538 | + | 0.0335505i | ||||
\(365\) | 21.4623 | − | 5.13275i | 1.12339 | − | 0.268660i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.06621 | + | 7.04288i | −0.212254 | + | 0.367635i | −0.952420 | − | 0.304790i | \(-0.901414\pi\) |
0.740165 | + | 0.672425i | \(0.234747\pi\) | |||||||
\(368\) | 8.10218 | − | 2.33324i | 0.422356 | − | 0.121629i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −16.8742 | − | 11.8303i | −0.877248 | − | 0.615031i | ||||
\(371\) | 6.38278 | − | 11.0553i | 0.331377 | − | 0.573963i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −10.0593 | + | 5.80775i | −0.520851 | + | 0.300714i | −0.737283 | − | 0.675584i | \(-0.763892\pi\) |
0.216432 | + | 0.976298i | \(0.430558\pi\) | |||||||
\(374\) | −10.1718 | + | 2.07250i | −0.525974 | + | 0.107166i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 26.3590 | − | 2.09713i | 1.35936 | − | 0.108151i | ||||
\(377\) | −15.2679 | −0.786336 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.194316i | 0.00998136i | 0.999988 | + | 0.00499068i | \(0.00158859\pi\) | ||||
−0.999988 | + | 0.00499068i | \(0.998411\pi\) | |||||||
\(380\) | −1.40543 | − | 12.3692i | −0.0720969 | − | 0.634524i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 31.5470 | − | 6.42766i | 1.61409 | − | 0.328868i | ||||
\(383\) | 16.0220 | − | 9.25031i | 0.818686 | − | 0.472669i | −0.0312769 | − | 0.999511i | \(-0.509957\pi\) |
0.849963 | + | 0.526842i | \(0.176624\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −10.1555 | + | 9.62031i | −0.517573 | + | 0.490296i | ||||
\(386\) | −15.5940 | − | 5.21275i | −0.793714 | − | 0.265322i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 15.4512 | − | 20.5288i | 0.784417 | − | 1.04219i | ||||
\(389\) | 20.3869 | + | 11.7704i | 1.03366 | + | 0.596783i | 0.918031 | − | 0.396509i | \(-0.129779\pi\) |
0.115628 | + | 0.993293i | \(0.463112\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.35803 | − | 1.36141i | 0.119251 | − | 0.0688495i | ||||
\(392\) | 14.7821 | + | 7.03525i | 0.746611 | + | 0.355334i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −11.4364 | − | 12.9191i | −0.576160 | − | 0.650857i | ||||
\(395\) | 0.717499 | − | 2.41446i | 0.0361013 | − | 0.121485i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 23.4091i | − | 1.17487i | −0.809272 | − | 0.587435i | \(-0.800138\pi\) | ||
0.809272 | − | 0.587435i | \(-0.199862\pi\) | |||||||
\(398\) | 7.49629 | − | 6.63596i | 0.375755 | − | 0.332631i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 19.4902 | − | 4.48701i | 0.974508 | − | 0.224351i | ||||
\(401\) | −25.9256 | + | 14.9681i | −1.29466 | + | 0.747474i | −0.979477 | − | 0.201557i | \(-0.935400\pi\) |
−0.315185 | + | 0.949030i | \(0.602067\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.85189 | − | 6.67166i | 0.191876 | − | 0.332339i | ||||
\(404\) | 20.1372 | − | 26.7546i | 1.00186 | − | 1.33109i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.40711 | + | 3.14460i | 0.466867 | + | 0.156064i | ||||
\(407\) | −32.0708 | − | 18.5161i | −1.58969 | − | 0.917809i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.04012 | + | 1.80153i | 0.0514304 | + | 0.0890800i | 0.890594 | − | 0.454798i | \(-0.150289\pi\) |
−0.839164 | + | 0.543878i | \(0.816955\pi\) | |||||||
\(410\) | 2.03662 | − | 23.1208i | 0.100581 | − | 1.14186i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.50056 | + | 1.06311i | −0.123194 | + | 0.0523754i | ||||
\(413\) | 8.06390 | 0.396799 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.34126 | + | 24.7041i | −0.360368 | + | 1.21268i | ||||
\(416\) | −11.4442 | − | 7.26791i | −0.561099 | − | 0.356338i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −4.46610 | − | 21.9196i | −0.218444 | − | 1.07212i | ||||
\(419\) | −4.89021 | − | 8.47010i | −0.238903 | − | 0.413791i | 0.721497 | − | 0.692417i | \(-0.243454\pi\) |
−0.960400 | + | 0.278626i | \(0.910121\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.05097 | − | 1.82034i | 0.0512212 | − | 0.0887177i | −0.839278 | − | 0.543703i | \(-0.817022\pi\) |
0.890499 | + | 0.454985i | \(0.150355\pi\) | |||||||
\(422\) | 8.69420 | + | 2.90629i | 0.423227 | + | 0.141476i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −27.0129 | + | 18.5994i | −1.31186 | + | 0.903266i | ||||
\(425\) | 5.75990 | − | 2.92210i | 0.279396 | − | 0.141743i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.74116 | + | 4.74783i | 0.132654 | + | 0.229764i | ||||
\(428\) | −5.90031 | − | 0.721061i | −0.285202 | − | 0.0348538i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.01894 | − | 12.9276i | −0.290259 | − | 0.623426i | ||||
\(431\) | 3.84204 | 0.185064 | 0.0925322 | − | 0.995710i | \(-0.470504\pi\) | ||||
0.0925322 | + | 0.995710i | \(0.470504\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.66853i | 0.320469i | 0.987079 | + | 0.160235i | \(0.0512251\pi\) | ||||
−0.987079 | + | 0.160235i | \(0.948775\pi\) | |||||||
\(434\) | −3.74740 | + | 3.31732i | −0.179881 | + | 0.159236i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.24234 | + | 10.1659i | −0.0594975 | + | 0.486858i | ||||
\(437\) | 2.93375 | + | 5.08140i | 0.140340 | + | 0.243077i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 33.5536 | + | 19.3722i | 1.60143 | + | 0.924585i | 0.991202 | + | 0.132357i | \(0.0422544\pi\) |
0.610225 | + | 0.792228i | \(0.291079\pi\) | |||||||
\(440\) | 34.1806 | − | 11.1051i | 1.62950 | − | 0.529413i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.15220 | − | 1.38799i | −0.197500 | − | 0.0660202i | ||||
\(443\) | 20.2821 | + | 11.7099i | 0.963633 | + | 0.556354i | 0.897289 | − | 0.441443i | \(-0.145533\pi\) |
0.0663436 | + | 0.997797i | \(0.478867\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −19.9384 | + | 4.76829i | −0.945169 | + | 0.226039i | ||||
\(446\) | −21.7506 | + | 4.43165i | −1.02992 | + | 0.209845i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 5.55429 | + | 6.83509i | 0.262416 | + | 0.322928i | ||||
\(449\) | − | 15.7865i | − | 0.745011i | −0.928030 | − | 0.372506i | \(-0.878499\pi\) | ||
0.928030 | − | 0.372506i | \(-0.121501\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 41.7083i | − | 1.96397i | ||||||
\(452\) | −15.4063 | + | 6.54993i | −0.724651 | + | 0.308083i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.0553404 | − | 0.271612i | −0.00259726 | − | 0.0127474i | ||||
\(455\) | −5.73786 | + | 1.37222i | −0.268995 | + | 0.0643305i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.28867 | + | 4.20812i | 0.340950 | + | 0.196847i | 0.660692 | − | 0.750657i | \(-0.270263\pi\) |
−0.319742 | + | 0.947505i | \(0.603596\pi\) | |||||||
\(458\) | 0.739911 | − | 2.21345i | 0.0345738 | − | 0.103428i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −7.57941 | + | 5.60485i | −0.353392 | + | 0.261328i | ||||
\(461\) | −21.4798 | − | 12.4014i | −1.00042 | − | 0.577590i | −0.0920445 | − | 0.995755i | \(-0.529340\pi\) |
−0.908371 | + | 0.418165i | \(0.862674\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.3598 | + | 17.9437i | 0.481460 | + | 0.833913i | 0.999774 | − | 0.0212774i | \(-0.00677331\pi\) |
−0.518314 | + | 0.855191i | \(0.673440\pi\) | |||||||
\(464\) | −18.3511 | − | 17.6811i | −0.851926 | − | 0.820824i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −18.9606 | − | 21.4188i | −0.878332 | − | 0.992205i | ||||
\(467\) | − | 1.59588i | − | 0.0738487i | −0.999318 | − | 0.0369243i | \(-0.988244\pi\) | ||
0.999318 | − | 0.0369243i | \(-0.0117561\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.07373 | 0.188107 | ||||||||
\(470\) | −26.8010 | + | 12.4782i | −1.23624 | + | 0.575575i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −18.7069 | − | 8.90315i | −0.861055 | − | 0.409801i | ||||
\(473\) | −12.8125 | − | 22.1919i | −0.589120 | − | 1.02039i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.29693 | + | 12.4122i | 0.288923 | + | 0.569511i | ||||
\(476\) | 2.27245 | + | 1.71039i | 0.104158 | + | 0.0783955i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.11471 | − | 27.2668i | 0.416897 | − | 1.24715i | ||||
\(479\) | 2.98947 | − | 5.17791i | 0.136592 | − | 0.236585i | −0.789612 | − | 0.613606i | \(-0.789718\pi\) |
0.926205 | + | 0.377021i | \(0.123052\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.80904 | − | 13.5257i | −0.356062 | − | 0.616717i | ||||
\(482\) | −23.8976 | + | 4.86911i | −1.08851 | + | 0.221782i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 39.1874 | − | 16.6604i | 1.78124 | − | 0.757289i | ||||
\(485\) | −8.18292 | + | 27.5364i | −0.371567 | + | 1.25036i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.5971 | 0.752086 | 0.376043 | − | 0.926602i | \(-0.377284\pi\) | ||||
0.376043 | + | 0.926602i | \(0.377284\pi\) | |||||||
\(488\) | −1.11708 | − | 14.0406i | −0.0505677 | − | 0.635589i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −18.2326 | − | 1.60603i | −0.823666 | − | 0.0725533i | ||||
\(491\) | 6.66941 | + | 11.5518i | 0.300986 | + | 0.521323i | 0.976360 | − | 0.216153i | \(-0.0693509\pi\) |
−0.675373 | + | 0.737476i | \(0.736018\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.12685 | − | 4.11469i | −0.320977 | − | 0.185316i | ||||
\(494\) | 2.99103 | − | 8.94772i | 0.134573 | − | 0.402577i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.3559 | − | 3.55822i | 0.554796 | − | 0.159769i | ||||
\(497\) | −6.98806 | + | 12.1037i | −0.313457 | + | 0.542924i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 35.7135 | − | 20.6192i | 1.59875 | − | 0.923041i | 0.607026 | − | 0.794682i | \(-0.292362\pi\) |
0.991728 | − | 0.128359i | \(-0.0409711\pi\) | |||||||
\(500\) | −18.6717 | + | 12.3032i | −0.835022 | + | 0.550216i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 9.29907 | + | 10.5047i | 0.415038 | + | 0.468846i | ||||
\(503\) | 24.1634i | 1.07739i | 0.842500 | + | 0.538696i | \(0.181083\pi\) | ||||
−0.842500 | + | 0.538696i | \(0.818917\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.6646 | + | 35.8874i | −0.474567 | + | 1.59697i | ||||
\(506\) | −12.6837 | + | 11.2280i | −0.563858 | + | 0.499145i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.24878 | − | 10.2186i | 0.0554057 | − | 0.453375i | ||||
\(509\) | −10.2084 | + | 5.89380i | −0.452478 | + | 0.261238i | −0.708876 | − | 0.705333i | \(-0.750797\pi\) |
0.256398 | + | 0.966571i | \(0.417464\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.40921 | − | 5.43241i | −0.416239 | − | 0.240316i | ||||
\(512\) | −5.33857 | − | 21.9886i | −0.235934 | − | 0.971769i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 7.77883 | − | 23.2705i | 0.343109 | − | 1.02642i | ||||
\(515\) | 2.20544 | − | 2.08921i | 0.0971833 | − | 0.0920616i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −46.0072 | + | 26.5623i | −2.02339 | + | 1.16821i | ||||
\(518\) | 2.02567 | + | 9.94202i | 0.0890029 | + | 0.436827i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 14.8259 | + | 3.15171i | 0.650159 | + | 0.138212i | ||||
\(521\) | 32.5010i | 1.42389i | 0.702234 | + | 0.711947i | \(0.252186\pi\) | ||||
−0.702234 | + | 0.711947i | \(0.747814\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.2435 | −0.491645 | −0.245822 | − | 0.969315i | \(-0.579058\pi\) | ||||
−0.245822 | + | 0.969315i | \(0.579058\pi\) | |||||||
\(524\) | 26.1370 | − | 11.1121i | 1.14180 | − | 0.485433i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.71409 | − | 13.3208i | −0.118340 | − | 0.580813i | ||||
\(527\) | 3.59602 | − | 2.07616i | 0.156645 | − | 0.0904391i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.27846 | + | 16.0708i | −0.403411 | + | 0.698729i | ||||
\(530\) | 21.0497 | − | 30.0242i | 0.914339 | − | 1.30417i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.68577 | + | 4.89698i | −0.159799 | + | 0.212311i | ||||
\(533\) | 8.79510 | − | 15.2336i | 0.380958 | − | 0.659839i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.46356 | − | 1.54577i | 0.279444 | − | 0.0668295i | ||||
\(536\) | −9.45037 | − | 4.49770i | −0.408194 | − | 0.194271i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.42406 | − | 1.26062i | 0.0613954 | − | 0.0543492i | ||||
\(539\) | −32.8903 | −1.41669 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.40855 | −0.361512 | −0.180756 | − | 0.983528i | \(-0.557854\pi\) | ||||
−0.180756 | + | 0.983528i | \(0.557854\pi\) | |||||||
\(542\) | 23.0090 | − | 20.3683i | 0.988319 | − | 0.874892i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.38331 | − | 6.47677i | −0.145058 | − | 0.277689i | ||||
\(545\) | −2.66327 | − | 11.1363i | −0.114082 | − | 0.477028i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.12301 | − | 3.67716i | 0.0907734 | − | 0.157224i | −0.817063 | − | 0.576548i | \(-0.804399\pi\) |
0.907837 | + | 0.419324i | \(0.137733\pi\) | |||||||
\(548\) | 11.0943 | + | 8.35023i | 0.473923 | + | 0.356704i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −31.4830 | + | 24.9673i | −1.34244 | + | 1.06461i | ||||
\(551\) | 8.86688 | − | 15.3579i | 0.377742 | − | 0.654268i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.07398 | + | 0.620060i | −0.0456701 | + | 0.0263676i | ||||
\(554\) | −3.92860 | − | 19.2816i | −0.166910 | − | 0.819196i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 9.33570 | + | 21.9588i | 0.395922 | + | 0.931260i | ||||
\(557\) | −21.0221 | −0.890734 | −0.445367 | − | 0.895348i | \(-0.646927\pi\) | ||||
−0.445367 | + | 0.895348i | \(0.646927\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 10.8072i | − | 0.457095i | ||||||
\(560\) | −8.48565 | − | 4.99545i | −0.358584 | − | 0.211096i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.29113 | + | 16.1529i | 0.138828 | + | 0.681369i | ||||
\(563\) | −18.9272 | + | 10.9277i | −0.797688 | + | 0.460546i | −0.842662 | − | 0.538443i | \(-0.819013\pi\) |
0.0449739 | + | 0.998988i | \(0.485680\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.5880 | − | 12.8719i | 0.571651 | − | 0.541525i | ||||
\(566\) | 5.57187 | − | 16.6683i | 0.234203 | − | 0.700621i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 29.5745 | − | 20.3632i | 1.24092 | − | 0.854420i | ||||
\(569\) | −12.7253 | − | 7.34697i | −0.533473 | − | 0.308001i | 0.208956 | − | 0.977925i | \(-0.432993\pi\) |
−0.742430 | + | 0.669924i | \(0.766327\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 15.5333 | − | 8.96816i | 0.650049 | − | 0.375306i | −0.138426 | − | 0.990373i | \(-0.544204\pi\) |
0.788475 | + | 0.615067i | \(0.210871\pi\) | |||||||
\(572\) | 27.0359 | + | 3.30397i | 1.13043 | + | 0.138146i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −8.55651 | + | 7.57450i | −0.357142 | + | 0.316154i | ||||
\(575\) | 5.75562 | − | 8.82893i | 0.240026 | − | 0.368192i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 38.2696i | 1.59318i | 0.604517 | + | 0.796592i | \(0.293366\pi\) | ||||
−0.604517 | + | 0.796592i | \(0.706634\pi\) | |||||||
\(578\) | 14.3715 | + | 16.2347i | 0.597774 | + | 0.675273i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 26.1243 | + | 11.3687i | 1.08475 | + | 0.472061i | ||||
\(581\) | 10.9886 | − | 6.34429i | 0.455885 | − | 0.263206i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 32.9456 | − | 57.0634i | 1.36447 | − | 2.36333i | ||||
\(584\) | 15.8300 | + | 22.9907i | 0.655050 | + | 0.951364i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.28154 | + | 12.8083i | −0.176869 | + | 0.529105i | ||||
\(587\) | 7.27939 | + | 4.20276i | 0.300453 | + | 0.173466i | 0.642646 | − | 0.766163i | \(-0.277837\pi\) |
−0.342194 | + | 0.939629i | \(0.611170\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.47399 | + | 7.74918i | 0.184348 | + | 0.319299i | ||||
\(590\) | 23.0735 | + | 2.03245i | 0.949922 | + | 0.0836746i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 6.27751 | − | 25.3003i | 0.258004 | − | 1.03984i | ||||
\(593\) | −35.1831 | −1.44480 | −0.722398 | − | 0.691477i | \(-0.756960\pi\) | ||||
−0.722398 | + | 0.691477i | \(0.756960\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.04817 | − | 0.905817i | −0.124963 | − | 0.0371349i | ||||
\(596\) | −4.49992 | − | 10.5844i | −0.184324 | − | 0.433554i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −7.00025 | + | 1.42629i | −0.286262 | + | 0.0583254i | ||||
\(599\) | 7.34116 | + | 12.7153i | 0.299952 | + | 0.519532i | 0.976125 | − | 0.217211i | \(-0.0696961\pi\) |
−0.676173 | + | 0.736743i | \(0.736363\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.6252 | − | 23.5995i | 0.555783 | − | 0.962644i | −0.442059 | − | 0.896986i | \(-0.645752\pi\) |
0.997842 | − | 0.0656584i | \(-0.0209148\pi\) | |||||||
\(602\) | −2.22587 | + | 6.65871i | −0.0907195 | + | 0.271389i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 2.57041 | − | 3.41509i | 0.104589 | − | 0.138958i | ||||
\(605\) | −34.5623 | + | 32.7409i | −1.40516 | + | 1.33111i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.91627 | − | 6.78317i | −0.158956 | − | 0.275320i | 0.775536 | − | 0.631303i | \(-0.217480\pi\) |
−0.934493 | + | 0.355983i | \(0.884146\pi\) | |||||||
\(608\) | 13.9570 | − | 7.29081i | 0.566032 | − | 0.295681i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.64672 | + | 14.2760i | 0.269118 | + | 0.578019i | ||||
\(611\) | −22.4049 | −0.906406 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 1.17677i | − | 0.0475293i | −0.999718 | − | 0.0237646i | \(-0.992435\pi\) | ||
0.999718 | − | 0.0237646i | \(-0.00756523\pi\) | |||||||
\(614\) | −12.6252 | − | 14.2620i | −0.509513 | − | 0.575569i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −15.9773 | − | 7.60405i | −0.643744 | − | 0.306376i | ||||
\(617\) | −20.4261 | − | 35.3790i | −0.822322 | − | 1.42430i | −0.903949 | − | 0.427641i | \(-0.859345\pi\) |
0.0816263 | − | 0.996663i | \(-0.473989\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −42.7230 | − | 24.6661i | −1.71718 | − | 0.991416i | −0.923965 | − | 0.382478i | \(-0.875071\pi\) |
−0.793218 | − | 0.608938i | \(-0.791596\pi\) | |||||||
\(620\) | −11.5587 | + | 8.54745i | −0.464207 | + | 0.343274i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 4.60111 | − | 13.7643i | 0.184488 | − | 0.551897i | ||||
\(623\) | 8.74109 | + | 5.04667i | 0.350204 | + | 0.202190i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.7655 | − | 20.1738i | 0.590619 | − | 0.806950i | ||||
\(626\) | −0.453388 | − | 2.22523i | −0.0181210 | − | 0.0889382i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.86873 | + | 18.5083i | 0.313997 | + | 0.738561i | ||||
\(629\) | − | 8.41813i | − | 0.335653i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 27.6752i | 1.10173i | 0.834594 | + | 0.550866i | \(0.185703\pi\) | ||||
−0.834594 | + | 0.550866i | \(0.814297\pi\) | |||||||
\(632\) | 3.17604 | − | 0.252687i | 0.126336 | − | 0.0100513i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 6.18392 | − | 1.25996i | 0.245595 | − | 0.0500396i | ||||
\(635\) | 2.67707 | + | 11.1940i | 0.106236 | + | 0.444222i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −12.0129 | − | 6.93564i | −0.475968 | − | 0.274800i | ||||
\(638\) | 48.5561 | + | 16.2313i | 1.92235 | + | 0.642602i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 14.1699 | + | 20.9574i | 0.560116 | + | 0.828414i | ||||
\(641\) | 13.0424 | + | 7.53005i | 0.515145 | + | 0.297419i | 0.734946 | − | 0.678126i | \(-0.237207\pi\) |
−0.219801 | + | 0.975545i | \(0.570541\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 23.7098 | + | 41.0665i | 0.935022 | + | 1.61951i | 0.774595 | + | 0.632458i | \(0.217954\pi\) |
0.160427 | + | 0.987048i | \(0.448713\pi\) | |||||||
\(644\) | 4.60688 | + | 0.562993i | 0.181536 | + | 0.0221850i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.80758 | − | 3.37060i | 0.149807 | − | 0.132614i | ||||
\(647\) | 19.7634i | 0.776977i | 0.921453 | + | 0.388489i | \(0.127003\pi\) | ||||
−0.921453 | + | 0.388489i | \(0.872997\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 41.6229 | 1.63384 | ||||||||
\(650\) | −16.7638 | + | 2.48019i | −0.657530 | + | 0.0972809i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.41903 | − | 36.1602i | 0.173063 | − | 1.41614i | ||||
\(653\) | 17.4740 | + | 30.2658i | 0.683809 | + | 1.18439i | 0.973809 | + | 0.227366i | \(0.0730112\pi\) |
−0.290000 | + | 0.957027i | \(0.593655\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −23.0523 | + | 21.8374i | −0.900727 | + | 0.853258i | ||||
\(656\) | 28.2125 | − | 8.12455i | 1.10151 | − | 0.317211i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 13.8045 | + | 4.61456i | 0.538155 | + | 0.179894i | ||||
\(659\) | 17.4893 | − | 30.2924i | 0.681288 | − | 1.18003i | −0.293300 | − | 0.956021i | \(-0.594753\pi\) |
0.974588 | − | 0.224005i | \(-0.0719133\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 17.7487 | + | 30.7417i | 0.690346 | + | 1.19571i | 0.971725 | + | 0.236117i | \(0.0758749\pi\) |
−0.281379 | + | 0.959597i | \(0.590792\pi\) | |||||||
\(662\) | 3.32889 | + | 16.3382i | 0.129381 | + | 0.635004i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −32.4964 | + | 2.58542i | −1.26110 | + | 0.100334i | ||||
\(665\) | 1.95197 | − | 6.56860i | 0.0756943 | − | 0.254719i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −13.4287 | −0.519960 | ||||||||
\(668\) | 5.82542 | + | 13.7022i | 0.225392 | + | 0.530152i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 11.6563 | + | 1.02675i | 0.450322 | + | 0.0396670i | ||||
\(671\) | 14.1489 | + | 24.5066i | 0.546211 | + | 0.946065i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −41.4746 | − | 23.9454i | −1.59873 | − | 0.923027i | −0.991733 | − | 0.128322i | \(-0.959041\pi\) |
−0.606997 | − | 0.794704i | \(-0.707626\pi\) | |||||||
\(674\) | −14.1667 | − | 4.73563i | −0.545680 | − | 0.182409i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −11.5955 | − | 8.72753i | −0.445982 | − | 0.335674i | ||||
\(677\) | −0.0431856 | + | 0.0747996i | −0.00165976 | + | 0.00287478i | −0.866854 | − | 0.498562i | \(-0.833862\pi\) |
0.865194 | + | 0.501437i | \(0.167195\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.2485 | − | 7.07165i | 0.470053 | − | 0.271385i | ||||
\(680\) | 6.07115 | + | 5.46675i | 0.232818 | + | 0.209640i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −19.3427 | + | 17.1228i | −0.740670 | + | 0.655665i | ||||
\(683\) | 24.0380i | 0.919788i | 0.887974 | + | 0.459894i | \(0.152113\pi\) | ||||
−0.887974 | + | 0.459894i | \(0.847887\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −14.8814 | − | 4.42226i | −0.568588 | − | 0.168966i | ||||
\(686\) | 13.1970 | + | 14.9079i | 0.503863 | + | 0.569187i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 12.5153 | − | 12.9896i | 0.477143 | − | 0.495222i | ||||
\(689\) | 24.0661 | − | 13.8946i | 0.916846 | − | 0.529342i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 36.1685 | + | 20.8819i | 1.37591 | + | 0.794384i | 0.991665 | − | 0.128845i | \(-0.0411271\pi\) |
0.384249 | + | 0.923229i | \(0.374460\pi\) | |||||||
\(692\) | −13.8524 | − | 10.4262i | −0.526589 | − | 0.396344i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 31.2637 | + | 10.4508i | 1.18675 | + | 0.396707i | ||||
\(695\) | −18.3465 | − | 19.3671i | −0.695922 | − | 0.734638i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.21087 | − | 4.74055i | 0.311009 | − | 0.179561i | ||||
\(698\) | −7.89010 | + | 1.60760i | −0.298645 | + | 0.0608484i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 10.8396 | + | 1.92456i | 0.409699 | + | 0.0727416i | ||||
\(701\) | 2.12514i | 0.0802654i | 0.999194 | + | 0.0401327i | \(0.0127781\pi\) | ||||
−0.999194 | + | 0.0401327i | \(0.987222\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 18.1405 | 0.684182 | ||||||||
\(704\) | 28.6692 | + | 35.2803i | 1.08051 | + | 1.32967i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.11012 | + | 0.429934i | −0.0794155 | + | 0.0161808i | ||||
\(707\) | 15.9631 | − | 9.21629i | 0.600354 | − | 0.346614i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.08824 | − | 3.61694i | 0.0784256 | − | 0.135837i | −0.824145 | − | 0.566379i | \(-0.808344\pi\) |
0.902571 | + | 0.430541i | \(0.141677\pi\) | |||||||
\(710\) | −23.0458 | + | 32.8714i | −0.864895 | + | 1.23364i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −14.7060 | − | 21.3582i | −0.551129 | − | 0.800434i | ||||
\(713\) | 3.38787 | − | 5.86797i | 0.126877 | − | 0.219757i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −29.6167 | + | 7.08288i | −1.10760 | + | 0.264885i | ||||
\(716\) | 0.269266 | − | 2.20336i | 0.0100630 | − | 0.0823434i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −8.86877 | − | 10.0186i | −0.330979 | − | 0.373890i | ||||
\(719\) | −24.0884 | −0.898346 | −0.449173 | − | 0.893445i | \(-0.648281\pi\) | ||||
−0.449173 | + | 0.893445i | \(0.648281\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.49568 | −0.0557022 | ||||||||
\(722\) | −10.5470 | − | 11.9143i | −0.392517 | − | 0.443406i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.07215 | − | 25.1389i | 0.114176 | − | 0.934279i | ||||
\(725\) | −31.8071 | − | 1.72288i | −1.18129 | − | 0.0639863i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −23.4466 | + | 40.6108i | −0.869587 | + | 1.50617i | −0.00716831 | + | 0.999974i | \(0.502282\pi\) |
−0.862419 | + | 0.506195i | \(0.831052\pi\) | |||||||
\(728\) | −4.23208 | − | 6.14647i | −0.156851 | − | 0.227803i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −25.5537 | − | 17.9155i | −0.945784 | − | 0.663081i | ||||
\(731\) | 2.91253 | − | 5.04465i | 0.107724 | − | 0.186583i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 15.3758 | − | 8.87721i | 0.567917 | − | 0.327887i | −0.188400 | − | 0.982092i | \(-0.560330\pi\) |
0.756317 | + | 0.654205i | \(0.226997\pi\) | |||||||
\(734\) | 11.2694 | − | 2.29613i | 0.415962 | − | 0.0847517i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −10.0656 | − | 6.39239i | −0.371023 | − | 0.235626i | ||||
\(737\) | 21.0271 | 0.774543 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 8.50437i | 0.312838i | 0.987691 | + | 0.156419i | \(0.0499951\pi\) | ||||
−0.987691 | + | 0.156419i | \(0.950005\pi\) | |||||||
\(740\) | 3.29031 | + | 28.9580i | 0.120954 | + | 1.06452i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −17.6898 | + | 3.60427i | −0.649412 | + | 0.132317i | ||||
\(743\) | 43.6052 | − | 25.1755i | 1.59972 | − | 0.923598i | 0.608179 | − | 0.793800i | \(-0.291900\pi\) |
0.991540 | − | 0.129798i | \(-0.0414330\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.84322 | + | 9.33519i | 0.323991 | + | 0.342015i | ||||
\(746\) | 15.5794 | + | 5.20786i | 0.570402 | + | 0.190673i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 11.7296 | + | 8.82840i | 0.428875 | + | 0.322798i | ||||
\(749\) | −2.83366 | − | 1.63601i | −0.103540 | − | 0.0597787i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −44.8169 | + | 25.8750i | −1.63539 | + | 0.944193i | −0.652999 | + | 0.757359i | \(0.726489\pi\) |
−0.982391 | + | 0.186834i | \(0.940177\pi\) | |||||||
\(752\) | −26.9293 | − | 25.9462i | −0.982011 | − | 0.946160i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 14.3119 | + | 16.1674i | 0.521210 | + | 0.588783i | ||||
\(755\) | −1.36128 | + | 4.58085i | −0.0495421 | + | 0.166714i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 16.5374i | − | 0.601064i | −0.953772 | − | 0.300532i | \(-0.902836\pi\) | ||
0.953772 | − | 0.300532i | \(-0.0971642\pi\) | |||||||
\(758\) | 0.205765 | − | 0.182150i | 0.00747372 | − | 0.00661598i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −11.7805 | + | 13.0829i | −0.427323 | + | 0.474568i | ||||
\(761\) | 30.1188 | − | 17.3891i | 1.09180 | − | 0.630354i | 0.157748 | − | 0.987479i | \(-0.449577\pi\) |
0.934056 | + | 0.357126i | \(0.116243\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.81876 | + | 4.88223i | −0.102046 | + | 0.176749i | ||||
\(764\) | −36.3782 | − | 27.3805i | −1.31612 | − | 0.990591i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −24.8141 | − | 8.29485i | −0.896571 | − | 0.299705i | ||||
\(767\) | 15.2024 | + | 8.77710i | 0.548926 | + | 0.316923i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.71708 | − | 13.3664i | −0.278285 | − | 0.482003i | 0.692674 | − | 0.721251i | \(-0.256433\pi\) |
−0.970959 | + | 0.239248i | \(0.923099\pi\) | |||||||
\(770\) | 19.7068 | + | 1.73588i | 0.710182 | + | 0.0625569i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 9.09776 | + | 21.3991i | 0.327435 | + | 0.770171i | ||||
\(773\) | 29.3290 | 1.05489 | 0.527446 | − | 0.849589i | \(-0.323150\pi\) | ||||
0.527446 | + | 0.849589i | \(0.323150\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.77736 | − | 13.4642i | 0.315292 | − | 0.483648i | ||||
\(776\) | −36.2220 | + | 2.88184i | −1.30029 | + | 0.103452i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −6.64658 | − | 32.6215i | −0.238292 | − | 1.16954i | ||||
\(779\) | 10.2156 | + | 17.6939i | 0.366011 | + | 0.633949i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −36.0698 | + | 62.4748i | −1.29068 | + | 2.23552i | ||||
\(782\) | −3.65201 | − | 1.22079i | −0.130596 | − | 0.0436554i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.40686 | − | 22.2478i | −0.228817 | − | 0.794565i | ||||
\(785\) | −15.4636 | − | 16.3239i | −0.551920 | − | 0.582624i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −26.3106 | − | 45.5713i | −0.937872 | − | 1.62444i | −0.769431 | − | 0.638730i | \(-0.779460\pi\) |
−0.168442 | − | 0.985712i | \(-0.553873\pi\) | |||||||
\(788\) | −2.95992 | + | 24.2205i | −0.105443 | + | 0.862819i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.22928 | + | 1.50351i | −0.114893 | + | 0.0534925i | ||||
\(791\) | −9.21510 | −0.327651 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 11.9344i | 0.423803i | ||||||||
\(794\) | −24.7883 | + | 21.9434i | −0.879704 | + | 0.778742i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −14.0539 | − | 1.71748i | −0.498126 | − | 0.0608746i | ||||
\(797\) | 1.24198 | + | 2.15117i | 0.0439931 | + | 0.0761983i | 0.887183 | − | 0.461417i | \(-0.152659\pi\) |
−0.843190 | + | 0.537615i | \(0.819325\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −10.4583 | − | 6.03812i | −0.369989 | − | 0.213613i | ||||
\(800\) | −23.0212 | − | 16.4324i | −0.813923 | − | 0.580973i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 40.1523 | + | 13.4221i | 1.41783 | + | 0.473950i | ||||
\(803\) | −48.5669 | − | 28.0401i | −1.71389 | − | 0.989514i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.04665 | + | 1.20691i | −0.177871 | + | 0.0425381i | ||||
\(806\) | −10.6754 | + | 2.17511i | −0.376027 | + | 0.0766148i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −47.2072 | + | 3.75582i | −1.66074 | + | 0.132129i | ||||
\(809\) | 25.6629i | 0.902261i | 0.892458 | + | 0.451131i | \(0.148979\pi\) | ||||
−0.892458 | + | 0.451131i | \(0.851021\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 26.5970i | 0.933948i | 0.884271 | + | 0.466974i | \(0.154656\pi\) | ||||
−0.884271 | + | 0.466974i | \(0.845344\pi\) | |||||||
\(812\) | −5.48824 | − | 12.9091i | −0.192599 | − | 0.453019i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 10.4558 | + | 51.3171i | 0.366475 | + | 1.79866i | ||||
\(815\) | 9.47329 | + | 39.6121i | 0.331835 | + | 1.38755i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.8709 | + | 6.27631i | 0.380324 | + | 0.219580i | ||||
\(818\) | 0.932682 | − | 2.79013i | 0.0326105 | − | 0.0975546i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −26.3921 | + | 19.5166i | −0.921654 | + | 0.681548i | ||||
\(821\) | 26.3429 | + | 15.2091i | 0.919373 | + | 0.530800i | 0.883435 | − | 0.468554i | \(-0.155225\pi\) |
0.0359383 | + | 0.999354i | \(0.488558\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.23623 | − | 7.33737i | −0.147666 | − | 0.255764i | 0.782699 | − | 0.622401i | \(-0.213843\pi\) |
−0.930364 | + | 0.366636i | \(0.880509\pi\) | |||||||
\(824\) | 3.46974 | + | 1.65135i | 0.120874 | + | 0.0575274i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7.55900 | − | 8.53900i | −0.263011 | − | 0.297110i | ||||
\(827\) | − | 37.2624i | − | 1.29574i | −0.761750 | − | 0.647871i | \(-0.775660\pi\) | ||
0.761750 | − | 0.647871i | \(-0.224340\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −18.4167 | −0.639639 | −0.319820 | − | 0.947478i | \(-0.603622\pi\) | ||||
−0.319820 | + | 0.947478i | \(0.603622\pi\) | |||||||
\(830\) | 33.0412 | − | 15.3835i | 1.14688 | − | 0.533970i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 3.03155 | + | 18.9313i | 0.105100 | + | 0.656325i | ||||
\(833\) | −3.73830 | − | 6.47493i | −0.129525 | − | 0.224343i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −11.4481 | − | 12.0850i | −0.396178 | − | 0.418218i | ||||
\(836\) | −19.0246 | + | 25.2764i | −0.657980 | + | 0.874203i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.38510 | + | 13.1181i | −0.151481 | + | 0.453157i | ||||
\(839\) | 7.35228 | − | 12.7345i | 0.253829 | − | 0.439645i | −0.710748 | − | 0.703447i | \(-0.751643\pi\) |
0.964577 | + | 0.263802i | \(0.0849766\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.79320 | + | 10.0341i | 0.199765 | + | 0.346004i | ||||
\(842\) | −2.91275 | + | 0.593469i | −0.100380 | + | 0.0204523i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −5.07232 | − | 11.9308i | −0.174596 | − | 0.410674i | ||||
\(845\) | 15.5538 | + | 4.62207i | 0.535066 | + | 0.159004i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 23.4395 | 0.805390 | ||||||||
\(848\) | 45.0167 | + | 11.1695i | 1.54588 | + | 0.383564i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −8.49352 | − | 3.36011i | −0.291325 | − | 0.115251i | ||||
\(851\) | −6.86833 | − | 11.8963i | −0.235443 | − | 0.407800i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 11.2327 | + | 6.48519i | 0.384600 | + | 0.222049i | 0.679818 | − | 0.733381i | \(-0.262059\pi\) |
−0.295218 | + | 0.955430i | \(0.595392\pi\) | |||||||
\(854\) | 2.45803 | − | 7.35322i | 0.0841119 | − | 0.251622i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.76734 | + | 6.92385i | 0.162944 | + | 0.236652i | ||||
\(857\) | 3.36521 | − | 5.82871i | 0.114953 | − | 0.199105i | −0.802808 | − | 0.596238i | \(-0.796661\pi\) |
0.917761 | + | 0.397133i | \(0.129995\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −33.3860 | + | 19.2754i | −1.13912 | + | 0.657669i | −0.946212 | − | 0.323549i | \(-0.895124\pi\) |
−0.192904 | + | 0.981218i | \(0.561791\pi\) | |||||||
\(860\) | −8.04722 | + | 18.4918i | −0.274408 | + | 0.630564i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −3.60148 | − | 4.06840i | −0.122667 | − | 0.138570i | ||||
\(863\) | − | 13.4795i | − | 0.458847i | −0.973327 | − | 0.229424i | \(-0.926316\pi\) | ||
0.973327 | − | 0.229424i | \(-0.0736841\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 18.5810 | + | 5.52167i | 0.631773 | + | 0.187742i | ||||
\(866\) | 7.06142 | − | 6.25100i | 0.239957 | − | 0.212418i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 7.02552 | + | 0.858569i | 0.238462 | + | 0.0291417i | ||||
\(869\) | −5.54347 | + | 3.20052i | −0.188049 | + | 0.108570i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.67995 | + | 4.43402i | 0.260225 | + | 0.150241i | ||||
\(872\) | 11.9294 | − | 8.21384i | 0.403980 | − | 0.278156i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.63072 | − | 7.86984i | 0.0889855 | − | 0.266201i | ||||
\(875\) | −12.1083 | + | 2.21121i | −0.409336 | + | 0.0747527i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 13.5129 | − | 7.80171i | 0.456300 | − | 0.263445i | −0.254187 | − | 0.967155i | \(-0.581808\pi\) |
0.710487 | + | 0.703710i | \(0.248475\pi\) | |||||||
\(878\) | −10.9392 | − | 53.6898i | −0.369180 | − | 1.81194i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −43.7998 | − | 25.7847i | −1.47649 | − | 0.869202i | ||||
\(881\) | 25.0226i | 0.843032i | 0.906821 | + | 0.421516i | \(0.138502\pi\) | ||||
−0.906821 | + | 0.421516i | \(0.861498\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −13.8202 | −0.465085 | −0.232543 | − | 0.972586i | \(-0.574705\pi\) | ||||
−0.232543 | + | 0.972586i | \(0.574705\pi\) | |||||||
\(884\) | 2.42245 | + | 5.69793i | 0.0814759 | + | 0.191642i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −6.61241 | − | 32.4538i | −0.222148 | − | 1.09031i | ||||
\(887\) | −16.1656 | + | 9.33323i | −0.542789 | + | 0.313379i | −0.746208 | − | 0.665712i | \(-0.768128\pi\) |
0.203420 | + | 0.979092i | \(0.434794\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.83336 | − | 4.90753i | 0.0950279 | − | 0.164593i | ||||
\(890\) | 23.7392 | + | 16.6433i | 0.795739 | + | 0.557886i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 25.0815 | + | 18.8779i | 0.839790 | + | 0.632079i | ||||
\(893\) | 13.0117 | − | 22.5370i | 0.435421 | − | 0.754172i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.577239 | + | 2.41369i | 0.0192950 | + | 0.0806809i | ||||
\(896\) | 2.03127 | − | 12.2887i | 0.0678600 | − | 0.410535i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −16.7166 | + | 14.7981i | −0.557840 | + | 0.493818i | ||||
\(899\) | −20.4788 | −0.683007 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.9783 | 0.499001 | ||||||||
\(902\) | −44.1656 | + | 39.0968i | −1.47055 | + | 1.30178i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 21.3775 | + | 10.1742i | 0.711005 | + | 0.338388i | ||||
\(905\) | 6.58591 | + | 27.5386i | 0.218923 | + | 0.915415i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −20.7283 | + | 35.9025i | −0.688273 | + | 1.19212i | 0.284123 | + | 0.958788i | \(0.408297\pi\) |
−0.972396 | + | 0.233336i | \(0.925036\pi\) | |||||||
\(908\) | −0.235739 | + | 0.313206i | −0.00782326 | + | 0.0103941i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 6.83166 | + | 4.78961i | 0.226467 | + | 0.158774i | ||||
\(911\) | 2.80277 | − | 4.85454i | 0.0928600 | − | 0.160838i | −0.815853 | − | 0.578259i | \(-0.803732\pi\) |
0.908713 | + | 0.417420i | \(0.137066\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 56.7193 | − | 32.7469i | 1.87714 | − | 1.08376i | ||||
\(914\) | −2.37626 | − | 11.6627i | −0.0785998 | − | 0.385769i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.03744 | + | 1.29136i | −0.100360 | + | 0.0426677i | ||||
\(917\) | 15.6336 | 0.516266 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 30.8044i | − | 1.01614i | −0.861315 | − | 0.508072i | \(-0.830358\pi\) | ||
0.861315 | − | 0.508072i | \(-0.169642\pi\) | |||||||
\(920\) | 13.0399 | + | 2.77204i | 0.429913 | + | 0.0913915i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 7.00289 | + | 34.3703i | 0.230628 | + | 1.13192i | ||||
\(923\) | −26.3483 | + | 15.2122i | −0.867266 | + | 0.500716i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.7420 | − | 29.0588i | −0.484715 | − | 0.955446i | ||||
\(926\) | 9.28972 | − | 27.7903i | 0.305279 | − | 0.913247i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.52077 | + | 36.0063i | −0.0499216 | + | 1.18196i | ||||
\(929\) | −23.8104 | − | 13.7469i | −0.781194 | − | 0.451023i | 0.0556590 | − | 0.998450i | \(-0.482274\pi\) |
−0.836853 | + | 0.547427i | \(0.815607\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 13.9530 | − | 8.05579i | 0.457293 | − | 0.264018i | ||||
\(932\) | −4.90727 | + | 40.1554i | −0.160743 | + | 1.31533i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1.68991 | + | 1.49596i | −0.0552955 | + | 0.0489494i | ||||
\(935\) | −15.7335 | − | 4.67550i | −0.514541 | − | 0.152905i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 13.6341i | − | 0.445407i | −0.974886 | − | 0.222704i | \(-0.928512\pi\) | ||
0.974886 | − | 0.222704i | \(-0.0714882\pi\) | |||||||
\(938\) | −3.81866 | − | 4.31374i | −0.124684 | − | 0.140849i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 38.3362 | + | 16.6831i | 1.25039 | + | 0.544143i | ||||
\(941\) | 49.7730 | − | 28.7364i | 1.62255 | − | 0.936781i | 0.636319 | − | 0.771426i | \(-0.280456\pi\) |
0.986234 | − | 0.165355i | \(-0.0528771\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 7.73561 | − | 13.3985i | 0.251906 | − | 0.436314i | ||||
\(944\) | 8.10793 | + | 28.1548i | 0.263891 | + | 0.916360i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −11.4891 | + | 34.3698i | −0.373543 | + | 1.11746i | ||||
\(947\) | 16.7732 | + | 9.68402i | 0.545056 | + | 0.314688i | 0.747126 | − | 0.664683i | \(-0.231433\pi\) |
−0.202069 | + | 0.979371i | \(0.564767\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −11.8257 | − | 20.4828i | −0.383880 | − | 0.664899i | ||||
\(950\) | 7.24082 | − | 18.3030i | 0.234923 | − | 0.593827i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.319008 | − | 4.00963i | −0.0103391 | − | 0.129953i | ||||
\(953\) | −4.34158 | −0.140638 | −0.0703188 | − | 0.997525i | \(-0.522402\pi\) | ||||
−0.0703188 | + | 0.997525i | \(0.522402\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 48.7961 | + | 14.5006i | 1.57900 | + | 0.469229i | ||||
\(956\) | −37.4172 | + | 15.9078i | −1.21016 | + | 0.514495i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −8.28526 | + | 1.68811i | −0.267685 | + | 0.0545404i | ||||
\(959\) | 3.82170 | + | 6.61938i | 0.123409 | + | 0.213751i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −10.3335 | + | 17.8981i | −0.333338 | + | 0.577358i | ||||
\(962\) | −7.00245 | + | 20.9479i | −0.225768 | + | 0.675388i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 27.5573 | + | 20.7414i | 0.887561 | + | 0.668034i | ||||
\(965\) | −17.8789 | − | 18.8735i | −0.575541 | − | 0.607560i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −16.5665 | − | 28.6939i | −0.532741 | − | 0.922735i | −0.999269 | − | 0.0382285i | \(-0.987829\pi\) |
0.466528 | − | 0.884507i | \(-0.345505\pi\) | |||||||
\(968\) | −54.3757 | − | 25.8789i | −1.74770 | − | 0.831780i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 36.8293 | − | 17.1472i | 1.18252 | − | 0.550564i | ||||
\(971\) | 22.0082 | 0.706277 | 0.353138 | − | 0.935571i | \(-0.385114\pi\) | ||||
0.353138 | + | 0.935571i | \(0.385114\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 13.1344i | 0.421070i | ||||||||
\(974\) | −15.5579 | − | 17.5749i | −0.498508 | − | 0.563137i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −13.8207 | + | 14.3444i | −0.442390 | + | 0.459153i | ||||
\(977\) | 14.7558 | + | 25.5578i | 0.472080 | + | 0.817667i | 0.999490 | − | 0.0319442i | \(-0.0101699\pi\) |
−0.527409 | + | 0.849611i | \(0.676837\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 45.1183 | + | 26.0491i | 1.44199 | + | 0.832532i | ||||
\(980\) | 15.3904 | + | 20.8123i | 0.491628 | + | 0.664825i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 5.98052 | − | 17.8908i | 0.190846 | − | 0.570919i | ||||
\(983\) | 39.8190 | + | 22.9895i | 1.27003 | + | 0.733251i | 0.974993 | − | 0.222235i | \(-0.0713354\pi\) |
0.295035 | + | 0.955486i | \(0.404669\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −6.34531 | − | 26.5326i | −0.202178 | − | 0.845399i | ||||
\(986\) | 2.32351 | + | 11.4038i | 0.0739956 | + | 0.363171i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −12.2786 | + | 5.22022i | −0.390636 | + | 0.166077i | ||||
\(989\) | − | 9.50531i | − | 0.302251i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 52.8232i | − | 1.67798i | −0.544144 | − | 0.838992i | \(-0.683146\pi\) | ||
0.544144 | − | 0.838992i | \(-0.316854\pi\) | |||||||
\(992\) | −15.3501 | − | 9.74844i | −0.487367 | − | 0.309513i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 19.3673 | − | 3.94606i | 0.614294 | − | 0.125161i | ||||
\(995\) | 15.3955 | − | 3.68185i | 0.488069 | − | 0.116722i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 43.4452 | + | 25.0831i | 1.37592 | + | 0.794389i | 0.991666 | − | 0.128837i | \(-0.0411244\pi\) |
0.384257 | + | 0.923226i | \(0.374458\pi\) | |||||||
\(998\) | −55.3113 | − | 18.4894i | −1.75085 | − | 0.585272i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 540.2.n.d.359.7 | 48 | ||
3.2 | odd | 2 | 180.2.n.d.119.18 | yes | 48 | ||
4.3 | odd | 2 | inner | 540.2.n.d.359.23 | 48 | ||
5.4 | even | 2 | inner | 540.2.n.d.359.18 | 48 | ||
9.4 | even | 3 | 180.2.n.d.59.23 | yes | 48 | ||
9.5 | odd | 6 | inner | 540.2.n.d.179.2 | 48 | ||
12.11 | even | 2 | 180.2.n.d.119.2 | yes | 48 | ||
15.2 | even | 4 | 900.2.r.g.551.6 | 48 | |||
15.8 | even | 4 | 900.2.r.g.551.19 | 48 | |||
15.14 | odd | 2 | 180.2.n.d.119.7 | yes | 48 | ||
20.19 | odd | 2 | inner | 540.2.n.d.359.2 | 48 | ||
36.23 | even | 6 | inner | 540.2.n.d.179.18 | 48 | ||
36.31 | odd | 6 | 180.2.n.d.59.7 | yes | 48 | ||
45.4 | even | 6 | 180.2.n.d.59.2 | ✓ | 48 | ||
45.13 | odd | 12 | 900.2.r.g.851.11 | 48 | |||
45.14 | odd | 6 | inner | 540.2.n.d.179.23 | 48 | ||
45.22 | odd | 12 | 900.2.r.g.851.14 | 48 | |||
60.23 | odd | 4 | 900.2.r.g.551.11 | 48 | |||
60.47 | odd | 4 | 900.2.r.g.551.14 | 48 | |||
60.59 | even | 2 | 180.2.n.d.119.23 | yes | 48 | ||
180.59 | even | 6 | inner | 540.2.n.d.179.7 | 48 | ||
180.67 | even | 12 | 900.2.r.g.851.6 | 48 | |||
180.103 | even | 12 | 900.2.r.g.851.19 | 48 | |||
180.139 | odd | 6 | 180.2.n.d.59.18 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
180.2.n.d.59.2 | ✓ | 48 | 45.4 | even | 6 | ||
180.2.n.d.59.7 | yes | 48 | 36.31 | odd | 6 | ||
180.2.n.d.59.18 | yes | 48 | 180.139 | odd | 6 | ||
180.2.n.d.59.23 | yes | 48 | 9.4 | even | 3 | ||
180.2.n.d.119.2 | yes | 48 | 12.11 | even | 2 | ||
180.2.n.d.119.7 | yes | 48 | 15.14 | odd | 2 | ||
180.2.n.d.119.18 | yes | 48 | 3.2 | odd | 2 | ||
180.2.n.d.119.23 | yes | 48 | 60.59 | even | 2 | ||
540.2.n.d.179.2 | 48 | 9.5 | odd | 6 | inner | ||
540.2.n.d.179.7 | 48 | 180.59 | even | 6 | inner | ||
540.2.n.d.179.18 | 48 | 36.23 | even | 6 | inner | ||
540.2.n.d.179.23 | 48 | 45.14 | odd | 6 | inner | ||
540.2.n.d.359.2 | 48 | 20.19 | odd | 2 | inner | ||
540.2.n.d.359.7 | 48 | 1.1 | even | 1 | trivial | ||
540.2.n.d.359.18 | 48 | 5.4 | even | 2 | inner | ||
540.2.n.d.359.23 | 48 | 4.3 | odd | 2 | inner | ||
900.2.r.g.551.6 | 48 | 15.2 | even | 4 | |||
900.2.r.g.551.11 | 48 | 60.23 | odd | 4 | |||
900.2.r.g.551.14 | 48 | 60.47 | odd | 4 | |||
900.2.r.g.551.19 | 48 | 15.8 | even | 4 | |||
900.2.r.g.851.6 | 48 | 180.67 | even | 12 | |||
900.2.r.g.851.11 | 48 | 45.13 | odd | 12 | |||
900.2.r.g.851.14 | 48 | 45.22 | odd | 12 | |||
900.2.r.g.851.19 | 48 | 180.103 | even | 12 |