Newspace parameters
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.w (of order \(10\), degree \(4\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 139.21 | ||
Character | \(\chi\) | \(=\) | 770.139 |
Dual form | 770.2.w.b.349.21 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | 0.732958 | − | 2.25581i | 0.423173 | − | 1.30239i | −0.481559 | − | 0.876414i | \(-0.659929\pi\) |
0.904733 | − | 0.425980i | \(-0.140071\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | −0.464104 | − | 2.18737i | −0.207554 | − | 0.978224i | ||||
\(6\) | 1.91891 | − | 1.39417i | 0.783391 | − | 0.569167i | ||||
\(7\) | 1.96220 | − | 1.77476i | 0.741640 | − | 0.670798i | ||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | −2.12441 | − | 1.54347i | −0.708137 | − | 0.514492i | ||||
\(10\) | 0.910238 | − | 2.04242i | 0.287843 | − | 0.645869i | ||||
\(11\) | −2.63315 | − | 2.01656i | −0.793924 | − | 0.608017i | ||||
\(12\) | 2.37190 | 0.684709 | ||||||||
\(13\) | −0.478040 | + | 0.657965i | −0.132584 | + | 0.182487i | −0.870147 | − | 0.492792i | \(-0.835976\pi\) |
0.737563 | + | 0.675278i | \(0.235976\pi\) | |||||||
\(14\) | 2.63063 | − | 0.282464i | 0.703065 | − | 0.0754918i | ||||
\(15\) | −5.27447 | − | 0.556321i | −1.36186 | − | 0.143641i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −0.374125 | − | 0.514939i | −0.0907387 | − | 0.124891i | 0.761234 | − | 0.648477i | \(-0.224594\pi\) |
−0.851973 | + | 0.523586i | \(0.824594\pi\) | |||||||
\(18\) | −0.811453 | − | 2.49739i | −0.191261 | − | 0.588641i | ||||
\(19\) | 0.231172 | − | 0.711476i | 0.0530346 | − | 0.163224i | −0.921031 | − | 0.389489i | \(-0.872652\pi\) |
0.974066 | + | 0.226265i | \(0.0726516\pi\) | |||||||
\(20\) | 1.93690 | − | 1.11733i | 0.433104 | − | 0.249842i | ||||
\(21\) | −2.56533 | − | 5.72717i | −0.559800 | − | 1.24977i | ||||
\(22\) | −0.944954 | − | 3.17916i | −0.201465 | − | 0.677799i | ||||
\(23\) | 5.84039i | 1.21781i | 0.793245 | + | 0.608903i | \(0.208390\pi\) | ||||
−0.793245 | + | 0.608903i | \(0.791610\pi\) | |||||||
\(24\) | 1.91891 | + | 1.39417i | 0.391696 | + | 0.284583i | ||||
\(25\) | −4.56921 | + | 2.03034i | −0.913843 | + | 0.406068i | ||||
\(26\) | −0.773484 | + | 0.251320i | −0.151693 | + | 0.0492880i | ||||
\(27\) | 0.717833 | − | 0.521536i | 0.138147 | − | 0.100370i | ||||
\(28\) | 2.29425 | + | 1.31773i | 0.433573 | + | 0.249027i | ||||
\(29\) | 8.07009 | − | 2.62213i | 1.49858 | − | 0.486918i | 0.558975 | − | 0.829184i | \(-0.311195\pi\) |
0.939603 | + | 0.342267i | \(0.111195\pi\) | |||||||
\(30\) | −3.94014 | − | 3.55033i | −0.719368 | − | 0.648199i | ||||
\(31\) | −2.72989 | + | 3.75737i | −0.490303 | + | 0.674844i | −0.980444 | − | 0.196799i | \(-0.936945\pi\) |
0.490141 | + | 0.871643i | \(0.336945\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −6.47898 | + | 4.46183i | −1.12785 | + | 0.776705i | ||||
\(34\) | − | 0.636500i | − | 0.109159i | ||||||
\(35\) | −4.79274 | − | 3.46838i | −0.810120 | − | 0.586263i | ||||
\(36\) | 0.811453 | − | 2.49739i | 0.135242 | − | 0.416232i | ||||
\(37\) | −3.85636 | + | 1.25301i | −0.633982 | + | 0.205993i | −0.608338 | − | 0.793678i | \(-0.708164\pi\) |
−0.0256440 | + | 0.999671i | \(0.508164\pi\) | |||||||
\(38\) | 0.605217 | − | 0.439716i | 0.0981792 | − | 0.0713314i | ||||
\(39\) | 1.13386 | + | 1.56063i | 0.181563 | + | 0.249900i | ||||
\(40\) | 2.22373 | + | 0.234546i | 0.351603 | + | 0.0370850i | ||||
\(41\) | 0.693842 | − | 2.13543i | 0.108360 | − | 0.333498i | −0.882144 | − | 0.470979i | \(-0.843901\pi\) |
0.990504 | + | 0.137481i | \(0.0439007\pi\) | |||||||
\(42\) | 1.29095 | − | 6.14124i | 0.199199 | − | 0.947614i | ||||
\(43\) | 1.78702 | 0.272519 | 0.136259 | − | 0.990673i | \(-0.456492\pi\) | ||||
0.136259 | + | 0.990673i | \(0.456492\pi\) | |||||||
\(44\) | 1.10418 | − | 3.12743i | 0.166461 | − | 0.471477i | ||||
\(45\) | −2.39021 | + | 5.36321i | −0.356311 | + | 0.799501i | ||||
\(46\) | −3.43289 | + | 4.72497i | −0.506153 | + | 0.696659i | ||||
\(47\) | 1.40295 | − | 4.31784i | 0.204642 | − | 0.629822i | −0.795086 | − | 0.606496i | \(-0.792574\pi\) |
0.999728 | − | 0.0233258i | \(-0.00742551\pi\) | |||||||
\(48\) | 0.732958 | + | 2.25581i | 0.105793 | + | 0.325598i | ||||
\(49\) | 0.700426 | − | 6.96487i | 0.100061 | − | 0.994981i | ||||
\(50\) | −4.88998 | − | 1.04314i | −0.691547 | − | 0.147522i | ||||
\(51\) | −1.43582 | + | 0.466527i | −0.201056 | + | 0.0653269i | ||||
\(52\) | −0.773484 | − | 0.251320i | −0.107263 | − | 0.0348518i | ||||
\(53\) | 1.23908 | − | 1.70545i | 0.170201 | − | 0.234262i | −0.715392 | − | 0.698723i | \(-0.753752\pi\) |
0.885594 | + | 0.464461i | \(0.153752\pi\) | |||||||
\(54\) | 0.887291 | 0.120745 | ||||||||
\(55\) | −3.18893 | + | 6.69558i | −0.429995 | + | 0.902831i | ||||
\(56\) | 1.08155 | + | 2.41459i | 0.144528 | + | 0.322663i | ||||
\(57\) | −1.43552 | − | 1.04296i | −0.190139 | − | 0.138144i | ||||
\(58\) | 8.07009 | + | 2.62213i | 1.05965 | + | 0.344303i | ||||
\(59\) | 11.4455 | − | 3.71887i | 1.49008 | − | 0.484155i | 0.552970 | − | 0.833201i | \(-0.313494\pi\) |
0.937106 | + | 0.349046i | \(0.113494\pi\) | |||||||
\(60\) | −1.10081 | − | 5.18824i | −0.142114 | − | 0.669798i | ||||
\(61\) | 9.48273 | − | 6.88961i | 1.21414 | − | 0.882124i | 0.218540 | − | 0.975828i | \(-0.429871\pi\) |
0.995600 | + | 0.0937040i | \(0.0298707\pi\) | |||||||
\(62\) | −4.41705 | + | 1.43519i | −0.560966 | + | 0.182269i | ||||
\(63\) | −6.90781 | + | 0.741728i | −0.870303 | + | 0.0934489i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 1.66108 | + | 0.740287i | 0.206031 | + | 0.0918213i | ||||
\(66\) | −7.86420 | − | 0.198551i | −0.968016 | − | 0.0244400i | ||||
\(67\) | 7.11959i | 0.869796i | 0.900480 | + | 0.434898i | \(0.143216\pi\) | ||||
−0.900480 | + | 0.434898i | \(0.856784\pi\) | |||||||
\(68\) | 0.374125 | − | 0.514939i | 0.0453693 | − | 0.0624455i | ||||
\(69\) | 13.1748 | + | 4.28076i | 1.58606 | + | 0.515343i | ||||
\(70\) | −1.83874 | − | 5.62308i | −0.219772 | − | 0.672087i | ||||
\(71\) | 6.16231 | − | 4.47718i | 0.731331 | − | 0.531343i | −0.158653 | − | 0.987334i | \(-0.550715\pi\) |
0.889984 | + | 0.455991i | \(0.150715\pi\) | |||||||
\(72\) | 2.12441 | − | 1.54347i | 0.250364 | − | 0.181900i | ||||
\(73\) | −9.50651 | + | 3.08885i | −1.11265 | + | 0.361523i | −0.806959 | − | 0.590607i | \(-0.798888\pi\) |
−0.305693 | + | 0.952130i | \(0.598888\pi\) | |||||||
\(74\) | −3.85636 | − | 1.25301i | −0.448293 | − | 0.145659i | ||||
\(75\) | 1.23103 | + | 11.7954i | 0.142147 | + | 1.36202i | ||||
\(76\) | 0.748090 | 0.0858118 | ||||||||
\(77\) | −8.74568 | + | 0.716320i | −0.996663 | + | 0.0816323i | ||||
\(78\) | 1.92904i | 0.218421i | ||||||||
\(79\) | −9.15919 | + | 12.6065i | −1.03049 | + | 1.41835i | −0.125910 | + | 0.992042i | \(0.540185\pi\) |
−0.904580 | + | 0.426305i | \(0.859815\pi\) | |||||||
\(80\) | 1.66117 | + | 1.49683i | 0.185725 | + | 0.167351i | ||||
\(81\) | −3.08470 | − | 9.49374i | −0.342745 | − | 1.05486i | ||||
\(82\) | 1.81650 | − | 1.31977i | 0.200599 | − | 0.145744i | ||||
\(83\) | 4.36182 | + | 6.00353i | 0.478772 | + | 0.658973i | 0.978268 | − | 0.207343i | \(-0.0664815\pi\) |
−0.499496 | + | 0.866316i | \(0.666482\pi\) | |||||||
\(84\) | 4.65414 | − | 4.20956i | 0.507808 | − | 0.459301i | ||||
\(85\) | −0.952731 | + | 1.05734i | −0.103338 | + | 0.114684i | ||||
\(86\) | 1.44573 | + | 1.05039i | 0.155897 | + | 0.113266i | ||||
\(87\) | − | 20.1265i | − | 2.15779i | ||||||
\(88\) | 2.73155 | − | 1.88112i | 0.291185 | − | 0.200528i | ||||
\(89\) | − | 10.1872i | − | 1.07984i | −0.841717 | − | 0.539919i | \(-0.818455\pi\) | ||
0.841717 | − | 0.539919i | \(-0.181545\pi\) | |||||||
\(90\) | −5.08614 | + | 2.93400i | −0.536126 | + | 0.309271i | ||||
\(91\) | 0.229725 | + | 2.13946i | 0.0240817 | + | 0.224277i | ||||
\(92\) | −5.55454 | + | 1.80478i | −0.579101 | + | 0.188161i | ||||
\(93\) | 6.47503 | + | 8.91211i | 0.671429 | + | 0.924143i | ||||
\(94\) | 3.67298 | − | 2.66857i | 0.378839 | − | 0.275242i | ||||
\(95\) | −1.66355 | − | 0.175462i | −0.170677 | − | 0.0180020i | ||||
\(96\) | −0.732958 | + | 2.25581i | −0.0748072 | + | 0.230233i | ||||
\(97\) | 9.78252 | + | 7.10742i | 0.993264 | + | 0.721649i | 0.960634 | − | 0.277819i | \(-0.0896115\pi\) |
0.0326308 | + | 0.999467i | \(0.489611\pi\) | |||||||
\(98\) | 4.66050 | − | 5.22300i | 0.470782 | − | 0.527602i | ||||
\(99\) | 2.48137 | + | 8.34821i | 0.249387 | + | 0.839026i | ||||
\(100\) | −3.34293 | − | 3.71817i | −0.334293 | − | 0.371817i | ||||
\(101\) | −1.69439 | − | 1.23104i | −0.168598 | − | 0.122493i | 0.500287 | − | 0.865860i | \(-0.333228\pi\) |
−0.668884 | + | 0.743366i | \(0.733228\pi\) | |||||||
\(102\) | −1.43582 | − | 0.466527i | −0.142168 | − | 0.0461931i | ||||
\(103\) | 3.03083 | + | 9.32794i | 0.298637 | + | 0.919110i | 0.981976 | + | 0.189008i | \(0.0605272\pi\) |
−0.683339 | + | 0.730101i | \(0.739473\pi\) | |||||||
\(104\) | −0.478040 | − | 0.657965i | −0.0468756 | − | 0.0645188i | ||||
\(105\) | −11.3369 | + | 8.26934i | −1.10637 | + | 0.807005i | ||||
\(106\) | 2.00488 | − | 0.651425i | 0.194731 | − | 0.0632720i | ||||
\(107\) | −0.172623 | + | 0.531279i | −0.0166881 | + | 0.0513607i | −0.959054 | − | 0.283224i | \(-0.908596\pi\) |
0.942366 | + | 0.334585i | \(0.108596\pi\) | |||||||
\(108\) | 0.717833 | + | 0.521536i | 0.0690735 | + | 0.0501849i | ||||
\(109\) | 2.34499i | 0.224609i | 0.993674 | + | 0.112305i | \(0.0358232\pi\) | ||||
−0.993674 | + | 0.112305i | \(0.964177\pi\) | |||||||
\(110\) | −6.51546 | + | 3.54243i | −0.621224 | + | 0.337758i | ||||
\(111\) | 9.61764i | 0.912866i | ||||||||
\(112\) | −0.544270 | + | 2.58916i | −0.0514287 | + | 0.244653i | ||||
\(113\) | 8.21206 | + | 2.66826i | 0.772526 | + | 0.251009i | 0.668646 | − | 0.743581i | \(-0.266874\pi\) |
0.103880 | + | 0.994590i | \(0.466874\pi\) | |||||||
\(114\) | −0.548318 | − | 1.68755i | −0.0513547 | − | 0.158054i | ||||
\(115\) | 12.7751 | − | 2.71055i | 1.19129 | − | 0.252760i | ||||
\(116\) | 4.98759 | + | 6.86483i | 0.463086 | + | 0.637383i | ||||
\(117\) | 2.03110 | − | 0.659946i | 0.187776 | − | 0.0610120i | ||||
\(118\) | 11.4455 | + | 3.71887i | 1.05364 | + | 0.342349i | ||||
\(119\) | −1.64800 | − | 0.346428i | −0.151072 | − | 0.0317570i | ||||
\(120\) | 2.15899 | − | 4.84441i | 0.197088 | − | 0.442232i | ||||
\(121\) | 2.86693 | + | 10.6198i | 0.260630 | + | 0.965439i | ||||
\(122\) | 11.7213 | 1.06120 | ||||||||
\(123\) | −4.30856 | − | 3.13036i | −0.388490 | − | 0.282255i | ||||
\(124\) | −4.41705 | − | 1.43519i | −0.396663 | − | 0.128884i | ||||
\(125\) | 6.56171 | + | 9.05229i | 0.586897 | + | 0.809662i | ||||
\(126\) | −6.02451 | − | 3.46024i | −0.536706 | − | 0.308263i | ||||
\(127\) | 3.94559 | − | 2.86664i | 0.350115 | − | 0.254373i | −0.398802 | − | 0.917037i | \(-0.630574\pi\) |
0.748917 | + | 0.662664i | \(0.230574\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | 1.30981 | − | 4.03119i | 0.115323 | − | 0.354927i | ||||
\(130\) | 0.908709 | + | 1.57526i | 0.0796990 | + | 0.138160i | ||||
\(131\) | −12.5690 | −1.09816 | −0.549081 | − | 0.835769i | \(-0.685022\pi\) | ||||
−0.549081 | + | 0.835769i | \(0.685022\pi\) | |||||||
\(132\) | −6.24557 | − | 4.78309i | −0.543607 | − | 0.416315i | ||||
\(133\) | −0.809096 | − | 1.80633i | −0.0701575 | − | 0.156629i | ||||
\(134\) | −4.18479 | + | 5.75987i | −0.361511 | + | 0.497577i | ||||
\(135\) | −1.47395 | − | 1.32812i | −0.126857 | − | 0.114307i | ||||
\(136\) | 0.605347 | − | 0.196689i | 0.0519081 | − | 0.0168660i | ||||
\(137\) | 12.0558 | + | 16.5933i | 1.02999 | + | 1.41766i | 0.904953 | + | 0.425511i | \(0.139906\pi\) |
0.125039 | + | 0.992152i | \(0.460094\pi\) | |||||||
\(138\) | 8.14249 | + | 11.2072i | 0.693135 | + | 0.954018i | ||||
\(139\) | −1.58657 | − | 4.88296i | −0.134571 | − | 0.414168i | 0.860952 | − | 0.508686i | \(-0.169869\pi\) |
−0.995523 | + | 0.0945189i | \(0.969869\pi\) | |||||||
\(140\) | 1.81759 | − | 5.62995i | 0.153614 | − | 0.475818i | ||||
\(141\) | −8.71194 | − | 6.32959i | −0.733678 | − | 0.533048i | ||||
\(142\) | 7.61703 | 0.639207 | ||||||||
\(143\) | 2.58558 | − | 0.768521i | 0.216217 | − | 0.0642670i | ||||
\(144\) | 2.62592 | 0.218826 | ||||||||
\(145\) | −9.48095 | − | 16.4354i | −0.787350 | − | 1.36488i | ||||
\(146\) | −9.50651 | − | 3.08885i | −0.786764 | − | 0.255635i | ||||
\(147\) | −15.1981 | − | 6.68498i | −1.25351 | − | 0.551368i | ||||
\(148\) | −2.38336 | − | 3.28042i | −0.195911 | − | 0.269649i | ||||
\(149\) | 6.72048 | + | 9.24994i | 0.550563 | + | 0.757785i | 0.990088 | − | 0.140445i | \(-0.0448534\pi\) |
−0.439526 | + | 0.898230i | \(0.644853\pi\) | |||||||
\(150\) | −5.93727 | + | 10.2663i | −0.484776 | + | 0.838239i | ||||
\(151\) | 1.93498 | + | 0.628714i | 0.157467 | + | 0.0511640i | 0.386690 | − | 0.922210i | \(-0.373618\pi\) |
−0.229223 | + | 0.973374i | \(0.573618\pi\) | |||||||
\(152\) | 0.605217 | + | 0.439716i | 0.0490896 | + | 0.0356657i | ||||
\(153\) | 1.67139i | 0.135124i | ||||||||
\(154\) | −7.49644 | − | 4.56107i | −0.604081 | − | 0.367541i | ||||
\(155\) | 9.48573 | + | 4.22748i | 0.761912 | + | 0.339559i | ||||
\(156\) | −1.13386 | + | 1.56063i | −0.0907817 | + | 0.124950i | ||||
\(157\) | 1.25232 | − | 3.85425i | 0.0999461 | − | 0.307602i | −0.888565 | − | 0.458751i | \(-0.848297\pi\) |
0.988511 | + | 0.151148i | \(0.0482971\pi\) | |||||||
\(158\) | −14.8199 | + | 4.81527i | −1.17901 | + | 0.383082i | ||||
\(159\) | −2.93899 | − | 4.04517i | −0.233077 | − | 0.320803i | ||||
\(160\) | 0.464104 | + | 2.18737i | 0.0366907 | + | 0.172927i | ||||
\(161\) | 10.3653 | + | 11.4600i | 0.816901 | + | 0.903174i | ||||
\(162\) | 3.08470 | − | 9.49374i | 0.242357 | − | 0.745899i | ||||
\(163\) | −9.76479 | + | 13.4401i | −0.764837 | + | 1.05271i | 0.231959 | + | 0.972726i | \(0.425487\pi\) |
−0.996796 | + | 0.0799827i | \(0.974513\pi\) | |||||||
\(164\) | 2.24532 | 0.175330 | ||||||||
\(165\) | 12.7666 | + | 12.1012i | 0.993880 | + | 0.942077i | ||||
\(166\) | 7.42077i | 0.575964i | ||||||||
\(167\) | −1.66365 | + | 2.28982i | −0.128737 | + | 0.177192i | −0.868520 | − | 0.495654i | \(-0.834928\pi\) |
0.739783 | + | 0.672846i | \(0.234928\pi\) | |||||||
\(168\) | 6.23959 | − | 0.669978i | 0.481395 | − | 0.0516899i | ||||
\(169\) | 3.81282 | + | 11.7347i | 0.293294 | + | 0.902667i | ||||
\(170\) | −1.39226 | + | 0.295402i | −0.106782 | + | 0.0226563i | ||||
\(171\) | −1.58925 | + | 1.15466i | −0.121533 | + | 0.0882989i | ||||
\(172\) | 0.552221 | + | 1.69956i | 0.0421065 | + | 0.129590i | ||||
\(173\) | −19.9440 | − | 6.48021i | −1.51632 | − | 0.492681i | −0.571589 | − | 0.820540i | \(-0.693673\pi\) |
−0.944727 | + | 0.327859i | \(0.893673\pi\) | |||||||
\(174\) | 11.8301 | − | 16.2827i | 0.896835 | − | 1.23439i | ||||
\(175\) | −5.36232 | + | 12.0932i | −0.405353 | + | 0.914160i | ||||
\(176\) | 3.31557 | + | 0.0837098i | 0.249920 | + | 0.00630987i | ||||
\(177\) | − | 28.5447i | − | 2.14555i | ||||||
\(178\) | 5.98787 | − | 8.24159i | 0.448809 | − | 0.617733i | ||||
\(179\) | 0.393228 | − | 1.21023i | 0.0293912 | − | 0.0904570i | −0.935285 | − | 0.353896i | \(-0.884857\pi\) |
0.964676 | + | 0.263439i | \(0.0848567\pi\) | |||||||
\(180\) | −5.83934 | − | 0.615899i | −0.435238 | − | 0.0459064i | ||||
\(181\) | −3.21681 | − | 4.42756i | −0.239103 | − | 0.329098i | 0.672554 | − | 0.740048i | \(-0.265197\pi\) |
−0.911658 | + | 0.410950i | \(0.865197\pi\) | |||||||
\(182\) | −1.07169 | + | 1.86589i | −0.0794392 | + | 0.138309i | ||||
\(183\) | −8.59122 | − | 26.4411i | −0.635081 | − | 1.95458i | ||||
\(184\) | −5.55454 | − | 1.80478i | −0.409486 | − | 0.133050i | ||||
\(185\) | 4.53056 | + | 7.85379i | 0.333093 | + | 0.577422i | ||||
\(186\) | 11.0160i | 0.807731i | ||||||||
\(187\) | −0.0532813 | + | 2.11036i | −0.00389631 | + | 0.154325i | ||||
\(188\) | 4.54005 | 0.331117 | ||||||||
\(189\) | 0.482926 | − | 2.29734i | 0.0351277 | − | 0.167107i | ||||
\(190\) | −1.24271 | − | 1.11976i | −0.0901555 | − | 0.0812361i | ||||
\(191\) | −2.75958 | − | 8.49313i | −0.199676 | − | 0.614541i | −0.999890 | − | 0.0148259i | \(-0.995281\pi\) |
0.800214 | − | 0.599715i | \(-0.204719\pi\) | |||||||
\(192\) | −1.91891 | + | 1.39417i | −0.138485 | + | 0.100615i | ||||
\(193\) | 17.0889 | − | 12.4158i | 1.23008 | − | 0.893709i | 0.233188 | − | 0.972432i | \(-0.425084\pi\) |
0.996897 | + | 0.0787231i | \(0.0250843\pi\) | |||||||
\(194\) | 3.73659 | + | 11.5000i | 0.268272 | + | 0.825655i | ||||
\(195\) | 2.88745 | − | 3.20448i | 0.206774 | − | 0.229477i | ||||
\(196\) | 6.84043 | − | 1.48612i | 0.488602 | − | 0.106151i | ||||
\(197\) | 13.6474 | 0.972338 | 0.486169 | − | 0.873865i | \(-0.338394\pi\) | ||||
0.486169 | + | 0.873865i | \(0.338394\pi\) | |||||||
\(198\) | −2.89948 | + | 8.21235i | −0.206057 | + | 0.583627i | ||||
\(199\) | − | 5.76658i | − | 0.408782i | −0.978889 | − | 0.204391i | \(-0.934479\pi\) | ||
0.978889 | − | 0.204391i | \(-0.0655214\pi\) | |||||||
\(200\) | −0.519004 | − | 4.97299i | −0.0366991 | − | 0.351644i | ||||
\(201\) | 16.0605 | + | 5.21836i | 1.13282 | + | 0.368075i | ||||
\(202\) | −0.647198 | − | 1.99187i | −0.0455367 | − | 0.140147i | ||||
\(203\) | 11.1814 | − | 19.4676i | 0.784783 | − | 1.36636i | ||||
\(204\) | −0.887388 | − | 1.22138i | −0.0621296 | − | 0.0855140i | ||||
\(205\) | −4.99299 | − | 0.526632i | −0.348726 | − | 0.0367816i | ||||
\(206\) | −3.03083 | + | 9.32794i | −0.211168 | + | 0.649909i | ||||
\(207\) | 9.01449 | − | 12.4074i | 0.626551 | − | 0.862373i | ||||
\(208\) | − | 0.813289i | − | 0.0563915i | ||||||
\(209\) | −2.04345 | + | 1.40725i | −0.141348 | + | 0.0973413i | ||||
\(210\) | −14.0323 | + | 0.0263768i | −0.968323 | + | 0.00182017i | ||||
\(211\) | −12.6807 | + | 17.4535i | −0.872974 | + | 1.20155i | 0.105343 | + | 0.994436i | \(0.466406\pi\) |
−0.978318 | + | 0.207110i | \(0.933594\pi\) | |||||||
\(212\) | 2.00488 | + | 0.651425i | 0.137696 | + | 0.0447401i | ||||
\(213\) | −5.58296 | − | 17.1826i | −0.382538 | − | 1.17733i | ||||
\(214\) | −0.451933 | + | 0.328349i | −0.0308935 | + | 0.0224455i | ||||
\(215\) | −0.829366 | − | 3.90889i | −0.0565623 | − | 0.266584i | ||||
\(216\) | 0.274188 | + | 0.843864i | 0.0186561 | + | 0.0574177i | ||||
\(217\) | 1.31187 | + | 12.2176i | 0.0890554 | + | 0.829385i | ||||
\(218\) | −1.37835 | + | 1.89714i | −0.0933537 | + | 0.128490i | ||||
\(219\) | 23.7089i | 1.60210i | ||||||||
\(220\) | −7.35330 | − | 0.963803i | −0.495760 | − | 0.0649796i | ||||
\(221\) | 0.517658 | 0.0348215 | ||||||||
\(222\) | −5.65311 | + | 7.78083i | −0.379412 | + | 0.522215i | ||||
\(223\) | −4.89906 | + | 15.0778i | −0.328065 | + | 1.00968i | 0.641972 | + | 0.766728i | \(0.278116\pi\) |
−0.970038 | + | 0.242954i | \(0.921884\pi\) | |||||||
\(224\) | −1.96220 | + | 1.77476i | −0.131105 | + | 0.118581i | ||||
\(225\) | 12.8407 | + | 2.73919i | 0.856044 | + | 0.182613i | ||||
\(226\) | 5.07533 | + | 6.98560i | 0.337606 | + | 0.464675i | ||||
\(227\) | −14.1957 | + | 4.61246i | −0.942201 | + | 0.306140i | −0.739542 | − | 0.673110i | \(-0.764958\pi\) |
−0.202658 | + | 0.979250i | \(0.564958\pi\) | |||||||
\(228\) | 0.548318 | − | 1.68755i | 0.0363133 | − | 0.111761i | ||||
\(229\) | 12.7501 | − | 17.5490i | 0.842548 | − | 1.15967i | −0.142907 | − | 0.989736i | \(-0.545645\pi\) |
0.985456 | − | 0.169932i | \(-0.0543549\pi\) | |||||||
\(230\) | 11.9285 | + | 5.31615i | 0.786543 | + | 0.350536i | ||||
\(231\) | −4.79433 | + | 20.2536i | −0.315444 | + | 1.33259i | ||||
\(232\) | 8.48540i | 0.557094i | ||||||||
\(233\) | −20.8110 | − | 15.1201i | −1.36338 | − | 0.990550i | −0.998222 | − | 0.0596025i | \(-0.981017\pi\) |
−0.365153 | − | 0.930948i | \(-0.618983\pi\) | |||||||
\(234\) | 2.03110 | + | 0.659946i | 0.132777 | + | 0.0431420i | ||||
\(235\) | −10.0959 | − | 1.06485i | −0.658581 | − | 0.0694633i | ||||
\(236\) | 7.07370 | + | 9.73612i | 0.460459 | + | 0.633767i | ||||
\(237\) | 21.7247 | + | 29.9015i | 1.41117 | + | 1.94231i | ||||
\(238\) | −1.12964 | − | 1.24894i | −0.0732235 | − | 0.0809566i | ||||
\(239\) | −7.45527 | − | 2.42237i | −0.482242 | − | 0.156690i | 0.0577999 | − | 0.998328i | \(-0.481591\pi\) |
−0.540041 | + | 0.841638i | \(0.681591\pi\) | |||||||
\(240\) | 4.59414 | − | 2.65019i | 0.296550 | − | 0.171069i | ||||
\(241\) | −30.5782 | −1.96971 | −0.984856 | − | 0.173373i | \(-0.944533\pi\) | ||||
−0.984856 | + | 0.173373i | \(0.944533\pi\) | |||||||
\(242\) | −3.92278 | + | 10.2768i | −0.252166 | + | 0.660615i | ||||
\(243\) | −21.0152 | −1.34813 | ||||||||
\(244\) | 9.48273 | + | 6.88961i | 0.607070 | + | 0.441062i | ||||
\(245\) | −15.5598 | + | 1.70033i | −0.994082 | + | 0.108630i | ||||
\(246\) | −1.64573 | − | 5.06502i | −0.104928 | − | 0.322934i | ||||
\(247\) | 0.357616 | + | 0.492217i | 0.0227546 | + | 0.0313190i | ||||
\(248\) | −2.72989 | − | 3.75737i | −0.173348 | − | 0.238593i | ||||
\(249\) | 16.7399 | − | 5.43911i | 1.06085 | − | 0.344690i | ||||
\(250\) | −0.0122717 | + | 11.1803i | −0.000776128 | + | 0.707106i | ||||
\(251\) | −2.29582 | + | 3.15992i | −0.144911 | + | 0.199452i | −0.875302 | − | 0.483576i | \(-0.839338\pi\) |
0.730392 | + | 0.683029i | \(0.239338\pi\) | |||||||
\(252\) | −2.84006 | − | 6.34051i | −0.178907 | − | 0.399415i | ||||
\(253\) | 11.7775 | − | 15.3786i | 0.740447 | − | 0.966845i | ||||
\(254\) | 4.87702 | 0.306012 | ||||||||
\(255\) | 1.68684 | + | 2.92417i | 0.105634 | + | 0.183118i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 6.06728 | + | 18.6732i | 0.378466 | + | 1.16480i | 0.941110 | + | 0.338100i | \(0.109784\pi\) |
−0.562644 | + | 0.826699i | \(0.690216\pi\) | |||||||
\(258\) | 3.42914 | − | 2.49141i | 0.213489 | − | 0.155109i | ||||
\(259\) | −5.34315 | + | 9.30279i | −0.332007 | + | 0.578047i | ||||
\(260\) | −0.190754 | + | 1.80854i | −0.0118301 | + | 0.112161i | ||||
\(261\) | −21.1914 | − | 6.88550i | −1.31171 | − | 0.426202i | ||||
\(262\) | −10.1686 | − | 7.38790i | −0.628216 | − | 0.456426i | ||||
\(263\) | −19.3898 | −1.19563 | −0.597814 | − | 0.801634i | \(-0.703964\pi\) | ||||
−0.597814 | + | 0.801634i | \(0.703964\pi\) | |||||||
\(264\) | −2.24134 | − | 7.54065i | −0.137945 | − | 0.464095i | ||||
\(265\) | −4.30553 | − | 1.91883i | −0.264487 | − | 0.117873i | ||||
\(266\) | 0.407163 | − | 1.93693i | 0.0249647 | − | 0.118761i | ||||
\(267\) | −22.9803 | − | 7.46676i | −1.40637 | − | 0.456958i | ||||
\(268\) | −6.77113 | + | 2.20007i | −0.413613 | + | 0.134391i | ||||
\(269\) | 17.4834 | + | 24.0639i | 1.06598 | + | 1.46720i | 0.874076 | + | 0.485789i | \(0.161468\pi\) |
0.191909 | + | 0.981413i | \(0.438532\pi\) | |||||||
\(270\) | −0.411796 | − | 1.94084i | −0.0250611 | − | 0.118116i | ||||
\(271\) | 0.613137 | + | 1.88704i | 0.0372454 | + | 0.114630i | 0.967951 | − | 0.251141i | \(-0.0808056\pi\) |
−0.930705 | + | 0.365770i | \(0.880806\pi\) | |||||||
\(272\) | 0.605347 | + | 0.196689i | 0.0367046 | + | 0.0119260i | ||||
\(273\) | 4.99461 | + | 1.04992i | 0.302287 | + | 0.0635440i | ||||
\(274\) | 20.5105i | 1.23908i | ||||||||
\(275\) | 16.1257 | + | 3.86793i | 0.972418 | + | 0.233245i | ||||
\(276\) | 13.8528i | 0.833842i | ||||||||
\(277\) | 17.8717 | + | 12.9845i | 1.07380 | + | 0.780165i | 0.976592 | − | 0.215099i | \(-0.0690073\pi\) |
0.0972125 | + | 0.995264i | \(0.469007\pi\) | |||||||
\(278\) | 1.58657 | − | 4.88296i | 0.0951562 | − | 0.292861i | ||||
\(279\) | 11.5988 | − | 3.76868i | 0.694403 | − | 0.225625i | ||||
\(280\) | 4.77966 | − | 3.48638i | 0.285640 | − | 0.208351i | ||||
\(281\) | −14.5120 | − | 19.9741i | −0.865716 | − | 1.19156i | −0.980176 | − | 0.198128i | \(-0.936514\pi\) |
0.114460 | − | 0.993428i | \(-0.463486\pi\) | |||||||
\(282\) | −3.32766 | − | 10.2415i | −0.198160 | − | 0.609872i | ||||
\(283\) | −19.4605 | − | 6.32311i | −1.15681 | − | 0.375870i | −0.333105 | − | 0.942890i | \(-0.608096\pi\) |
−0.823704 | + | 0.567020i | \(0.808096\pi\) | |||||||
\(284\) | 6.16231 | + | 4.47718i | 0.365666 | + | 0.265672i | ||||
\(285\) | −1.61512 | + | 3.62405i | −0.0956716 | + | 0.214670i | ||||
\(286\) | 2.54350 | + | 0.898018i | 0.150400 | + | 0.0531009i | ||||
\(287\) | −2.42842 | − | 5.42153i | −0.143345 | − | 0.320023i | ||||
\(288\) | 2.12441 | + | 1.54347i | 0.125182 | + | 0.0909501i | ||||
\(289\) | 5.12810 | − | 15.7827i | 0.301653 | − | 0.928392i | ||||
\(290\) | 1.99022 | − | 18.8693i | 0.116870 | − | 1.10804i | ||||
\(291\) | 23.2032 | − | 16.8581i | 1.36019 | − | 0.988239i | ||||
\(292\) | −5.87534 | − | 8.08672i | −0.343829 | − | 0.473239i | ||||
\(293\) | 13.3177 | − | 4.32720i | 0.778031 | − | 0.252798i | 0.107032 | − | 0.994256i | \(-0.465865\pi\) |
0.670999 | + | 0.741458i | \(0.265865\pi\) | |||||||
\(294\) | −8.36615 | − | 14.3415i | −0.487924 | − | 0.836411i | ||||
\(295\) | −13.4465 | − | 23.3096i | −0.782883 | − | 1.35714i | ||||
\(296\) | − | 4.05482i | − | 0.235682i | ||||||
\(297\) | −2.94187 | − | 0.0742750i | −0.170705 | − | 0.00430987i | ||||
\(298\) | 11.4336i | 0.662328i | ||||||||
\(299\) | −3.84277 | − | 2.79194i | −0.222233 | − | 0.161462i | ||||
\(300\) | −10.8377 | + | 4.81577i | −0.625716 | + | 0.278038i | ||||
\(301\) | 3.50649 | − | 3.17155i | 0.202111 | − | 0.182805i | ||||
\(302\) | 1.19589 | + | 1.64599i | 0.0688155 | + | 0.0947164i | ||||
\(303\) | −4.01892 | + | 2.91991i | −0.230881 | + | 0.167745i | ||||
\(304\) | 0.231172 | + | 0.711476i | 0.0132586 | + | 0.0408059i | ||||
\(305\) | −19.4711 | − | 17.5448i | −1.11491 | − | 1.00461i | ||||
\(306\) | −0.982421 | + | 1.35219i | −0.0561613 | + | 0.0772993i | ||||
\(307\) | 19.9751i | 1.14004i | 0.821630 | + | 0.570021i | \(0.193065\pi\) | ||||
−0.821630 | + | 0.570021i | \(0.806935\pi\) | |||||||
\(308\) | −3.38382 | − | 8.09628i | −0.192811 | − | 0.461328i | ||||
\(309\) | 23.2636 | 1.32342 | ||||||||
\(310\) | 5.18927 | + | 8.99567i | 0.294731 | + | 0.510920i | ||||
\(311\) | −29.0709 | − | 9.44572i | −1.64846 | − | 0.535618i | −0.670056 | − | 0.742310i | \(-0.733730\pi\) |
−0.978406 | + | 0.206693i | \(0.933730\pi\) | |||||||
\(312\) | −1.83463 | + | 0.596107i | −0.103865 | + | 0.0337479i | ||||
\(313\) | −8.35933 | + | 6.07341i | −0.472497 | + | 0.343289i | −0.798414 | − | 0.602109i | \(-0.794327\pi\) |
0.325917 | + | 0.945399i | \(0.394327\pi\) | |||||||
\(314\) | 3.27862 | − | 2.38206i | 0.185023 | − | 0.134427i | ||||
\(315\) | 4.82838 | + | 14.7657i | 0.272049 | + | 0.831955i | ||||
\(316\) | −14.8199 | − | 4.81527i | −0.833683 | − | 0.270880i | ||||
\(317\) | −1.53946 | + | 2.11889i | −0.0864649 | + | 0.119009i | −0.850058 | − | 0.526689i | \(-0.823433\pi\) |
0.763593 | + | 0.645698i | \(0.223433\pi\) | |||||||
\(318\) | − | 5.00010i | − | 0.280392i | ||||||
\(319\) | −26.5374 | − | 9.36940i | −1.48581 | − | 0.524586i | ||||
\(320\) | −0.910238 | + | 2.04242i | −0.0508839 | + | 0.114175i | ||||
\(321\) | 1.07194 | + | 0.778811i | 0.0598299 | + | 0.0434690i | ||||
\(322\) | 1.64970 | + | 15.3639i | 0.0919343 | + | 0.856197i | ||||
\(323\) | −0.452854 | + | 0.147141i | −0.0251975 | + | 0.00818715i | ||||
\(324\) | 8.07586 | − | 5.86746i | 0.448659 | − | 0.325970i | ||||
\(325\) | 0.848372 | − | 3.97697i | 0.0470592 | − | 0.220602i | ||||
\(326\) | −15.7998 | + | 5.13365i | −0.875068 | + | 0.284327i | ||||
\(327\) | 5.28986 | + | 1.71878i | 0.292530 | + | 0.0950487i | ||||
\(328\) | 1.81650 | + | 1.31977i | 0.100300 | + | 0.0728719i | ||||
\(329\) | −4.91028 | − | 10.9624i | −0.270713 | − | 0.604375i | ||||
\(330\) | 3.21550 | + | 17.2941i | 0.177008 | + | 0.952009i | ||||
\(331\) | 9.65619 | 0.530752 | 0.265376 | − | 0.964145i | \(-0.414504\pi\) | ||||
0.265376 | + | 0.964145i | \(0.414504\pi\) | |||||||
\(332\) | −4.36182 | + | 6.00353i | −0.239386 | + | 0.329487i | ||||
\(333\) | 10.1265 | + | 3.29030i | 0.554928 | + | 0.180307i | ||||
\(334\) | −2.69185 | + | 0.874634i | −0.147291 | + | 0.0478578i | ||||
\(335\) | 15.5732 | − | 3.30423i | 0.850855 | − | 0.180530i | ||||
\(336\) | 5.44174 | + | 3.12552i | 0.296871 | + | 0.170511i | ||||
\(337\) | 6.71481 | + | 20.6661i | 0.365779 | + | 1.12575i | 0.949492 | + | 0.313792i | \(0.101599\pi\) |
−0.583713 | + | 0.811960i | \(0.698401\pi\) | |||||||
\(338\) | −3.81282 | + | 11.7347i | −0.207390 | + | 0.638282i | ||||
\(339\) | 12.0382 | − | 16.5691i | 0.653825 | − | 0.899913i | ||||
\(340\) | −1.30000 | − | 0.579366i | −0.0705023 | − | 0.0314205i | ||||
\(341\) | 14.7652 | − | 4.38871i | 0.799580 | − | 0.237662i | ||||
\(342\) | −1.96442 | −0.106224 | ||||||||
\(343\) | −10.9866 | − | 14.9095i | −0.593222 | − | 0.805039i | ||||
\(344\) | −0.552221 | + | 1.69956i | −0.0297738 | + | 0.0916342i | ||||
\(345\) | 3.24913 | − | 30.8050i | 0.174927 | − | 1.65848i | ||||
\(346\) | −12.3261 | − | 16.9654i | −0.662654 | − | 0.912066i | ||||
\(347\) | 5.89044 | − | 4.27966i | 0.316216 | − | 0.229744i | −0.418343 | − | 0.908289i | \(-0.637389\pi\) |
0.734559 | + | 0.678545i | \(0.237389\pi\) | |||||||
\(348\) | 19.1415 | − | 6.21944i | 1.02609 | − | 0.333397i | ||||
\(349\) | 3.04276 | − | 9.36466i | 0.162875 | − | 0.501279i | −0.835998 | − | 0.548732i | \(-0.815111\pi\) |
0.998873 | + | 0.0474536i | \(0.0151106\pi\) | |||||||
\(350\) | −11.4464 | + | 6.63171i | −0.611837 | + | 0.354480i | ||||
\(351\) | 0.721624i | 0.0385175i | ||||||||
\(352\) | 2.63315 | + | 2.01656i | 0.140347 | + | 0.107483i | ||||
\(353\) | 7.84044 | 0.417305 | 0.208652 | − | 0.977990i | \(-0.433092\pi\) | ||||
0.208652 | + | 0.977990i | \(0.433092\pi\) | |||||||
\(354\) | 16.7781 | − | 23.0931i | 0.891747 | − | 1.22738i | ||||
\(355\) | −12.6532 | − | 11.4014i | −0.671563 | − | 0.605123i | ||||
\(356\) | 9.68857 | − | 3.14801i | 0.513493 | − | 0.166844i | ||||
\(357\) | −1.98939 | + | 3.46367i | −0.105290 | + | 0.183317i | ||||
\(358\) | 1.02948 | − | 0.747964i | 0.0544099 | − | 0.0395311i | ||||
\(359\) | 32.5863 | − | 10.5879i | 1.71984 | − | 0.558809i | 0.727917 | − | 0.685665i | \(-0.240488\pi\) |
0.991921 | + | 0.126855i | \(0.0404884\pi\) | |||||||
\(360\) | −4.36211 | − | 3.93055i | −0.229903 | − | 0.207158i | ||||
\(361\) | 14.9186 | + | 10.8390i | 0.785188 | + | 0.570472i | ||||
\(362\) | − | 5.47276i | − | 0.287642i | ||||||
\(363\) | 26.0577 | + | 1.31662i | 1.36767 | + | 0.0691047i | ||||
\(364\) | −1.96376 | + | 0.879612i | −0.102929 | + | 0.0461042i | ||||
\(365\) | 11.1685 | + | 19.3607i | 0.584585 | + | 1.01339i | ||||
\(366\) | 8.59122 | − | 26.4411i | 0.449070 | − | 1.38210i | ||||
\(367\) | −8.93956 | − | 27.5131i | −0.466641 | − | 1.43617i | −0.856907 | − | 0.515472i | \(-0.827617\pi\) |
0.390266 | − | 0.920702i | \(-0.372383\pi\) | |||||||
\(368\) | −3.43289 | − | 4.72497i | −0.178952 | − | 0.246306i | ||||
\(369\) | −4.76998 | + | 3.46559i | −0.248315 | + | 0.180412i | ||||
\(370\) | −0.951044 | + | 9.01684i | −0.0494424 | + | 0.468763i | ||||
\(371\) | −0.595451 | − | 5.54552i | −0.0309143 | − | 0.287909i | ||||
\(372\) | −6.47503 | + | 8.91211i | −0.335715 | + | 0.462072i | ||||
\(373\) | −25.7514 | −1.33336 | −0.666678 | − | 0.745346i | \(-0.732285\pi\) | ||||
−0.666678 | + | 0.745346i | \(0.732285\pi\) | |||||||
\(374\) | −1.28354 | + | 1.67600i | −0.0663704 | + | 0.0866638i | ||||
\(375\) | 25.2297 | − | 8.16703i | 1.30286 | − | 0.421744i | ||||
\(376\) | 3.67298 | + | 2.66857i | 0.189419 | + | 0.137621i | ||||
\(377\) | −2.13255 | + | 6.56332i | −0.109832 | + | 0.338028i | ||||
\(378\) | 1.74104 | − | 1.57473i | 0.0895494 | − | 0.0809955i | ||||
\(379\) | −9.34352 | + | 6.78846i | −0.479944 | + | 0.348700i | −0.801304 | − | 0.598257i | \(-0.795860\pi\) |
0.321360 | + | 0.946957i | \(0.395860\pi\) | |||||||
\(380\) | −0.347192 | − | 1.63635i | −0.0178106 | − | 0.0839431i | ||||
\(381\) | −3.57465 | − | 11.0016i | −0.183135 | − | 0.563631i | ||||
\(382\) | 2.75958 | − | 8.49313i | 0.141193 | − | 0.434546i | ||||
\(383\) | 7.03306 | + | 5.10982i | 0.359373 | + | 0.261100i | 0.752790 | − | 0.658260i | \(-0.228707\pi\) |
−0.393418 | + | 0.919360i | \(0.628707\pi\) | |||||||
\(384\) | −2.37190 | −0.121041 | ||||||||
\(385\) | 5.62577 | + | 18.7976i | 0.286716 | + | 0.958016i | ||||
\(386\) | 21.1230 | 1.07513 | ||||||||
\(387\) | −3.79637 | − | 2.75823i | −0.192981 | − | 0.140209i | ||||
\(388\) | −3.73659 | + | 11.5000i | −0.189697 | + | 0.583826i | ||||
\(389\) | −8.02071 | − | 24.6852i | −0.406666 | − | 1.25159i | −0.919496 | − | 0.393100i | \(-0.871403\pi\) |
0.512830 | − | 0.858490i | \(-0.328597\pi\) | |||||||
\(390\) | 4.21954 | − | 0.895277i | 0.213665 | − | 0.0453341i | ||||
\(391\) | 3.00744 | − | 2.18504i | 0.152093 | − | 0.110502i | ||||
\(392\) | 6.40754 | + | 2.81841i | 0.323630 | + | 0.142351i | ||||
\(393\) | −9.21258 | + | 28.3534i | −0.464713 | + | 1.43024i | ||||
\(394\) | 11.0410 | + | 8.02175i | 0.556237 | + | 0.404130i | ||||
\(395\) | 31.8260 | + | 14.1838i | 1.60134 | + | 0.713666i | ||||
\(396\) | −7.17283 | + | 4.93966i | −0.360448 | + | 0.248227i | ||||
\(397\) | 16.6671 | 0.836496 | 0.418248 | − | 0.908333i | \(-0.362644\pi\) | ||||
0.418248 | + | 0.908333i | \(0.362644\pi\) | |||||||
\(398\) | 3.38951 | − | 4.66526i | 0.169901 | − | 0.233848i | ||||
\(399\) | −4.66778 | + | 0.501203i | −0.233681 | + | 0.0250916i | ||||
\(400\) | 2.50317 | − | 4.32830i | 0.125158 | − | 0.216415i | ||||
\(401\) | 17.5610 | − | 12.7588i | 0.876956 | − | 0.637146i | −0.0554885 | − | 0.998459i | \(-0.517672\pi\) |
0.932444 | + | 0.361314i | \(0.117672\pi\) | |||||||
\(402\) | 9.92591 | + | 13.6618i | 0.495059 | + | 0.681391i | ||||
\(403\) | −1.16722 | − | 3.59234i | −0.0581435 | − | 0.178947i | ||||
\(404\) | 0.647198 | − | 1.99187i | 0.0321993 | − | 0.0990992i | ||||
\(405\) | −19.3347 | + | 11.1535i | −0.960751 | + | 0.554222i | ||||
\(406\) | 20.4888 | − | 9.17737i | 1.01684 | − | 0.455465i | ||||
\(407\) | 12.6812 | + | 4.47725i | 0.628581 | + | 0.221929i | ||||
\(408\) | − | 1.50971i | − | 0.0747420i | ||||||
\(409\) | −0.708496 | − | 0.514752i | −0.0350329 | − | 0.0254529i | 0.570131 | − | 0.821554i | \(-0.306892\pi\) |
−0.605164 | + | 0.796101i | \(0.706892\pi\) | |||||||
\(410\) | −3.72987 | − | 3.36086i | −0.184205 | − | 0.165981i | ||||
\(411\) | 46.2678 | − | 15.0333i | 2.28222 | − | 0.741539i | ||||
\(412\) | −7.93482 | + | 5.76499i | −0.390921 | + | 0.284020i | ||||
\(413\) | 15.8582 | − | 27.6102i | 0.780330 | − | 1.35861i | ||||
\(414\) | 14.5858 | − | 4.73920i | 0.716851 | − | 0.232919i | ||||
\(415\) | 11.1076 | − | 12.3272i | 0.545252 | − | 0.605119i | ||||
\(416\) | 0.478040 | − | 0.657965i | 0.0234378 | − | 0.0322594i | ||||
\(417\) | −12.1779 | −0.596356 | ||||||||
\(418\) | −2.48034 | − | 0.0626225i | −0.121318 | − | 0.00306297i | ||||
\(419\) | − | 13.9264i | − | 0.680349i | −0.940362 | − | 0.340174i | \(-0.889514\pi\) | ||
0.940362 | − | 0.340174i | \(-0.110486\pi\) | |||||||
\(420\) | −11.3679 | − | 8.22666i | −0.554697 | − | 0.401420i | ||||
\(421\) | −5.40865 | + | 16.6461i | −0.263601 | + | 0.811282i | 0.728411 | + | 0.685140i | \(0.240259\pi\) |
−0.992012 | + | 0.126141i | \(0.959741\pi\) | |||||||
\(422\) | −20.5178 | + | 6.66663i | −0.998790 | + | 0.324526i | ||||
\(423\) | −9.64493 | + | 7.00745i | −0.468952 | + | 0.340714i | ||||
\(424\) | 1.23908 | + | 1.70545i | 0.0601753 | + | 0.0828242i | ||||
\(425\) | 2.75496 | + | 1.59327i | 0.133635 | + | 0.0772847i | ||||
\(426\) | 5.58296 | − | 17.1826i | 0.270495 | − | 0.832499i | ||||
\(427\) | 6.37955 | − | 30.3484i | 0.308728 | − | 1.46866i | ||||
\(428\) | −0.558620 | −0.0270019 | ||||||||
\(429\) | 0.161480 | − | 6.39587i | 0.00779632 | − | 0.308796i | ||||
\(430\) | 1.62662 | − | 3.64985i | 0.0784425 | − | 0.176011i | ||||
\(431\) | 2.46504 | − | 3.39284i | 0.118737 | − | 0.163427i | −0.745511 | − | 0.666493i | \(-0.767795\pi\) |
0.864248 | + | 0.503066i | \(0.167795\pi\) | |||||||
\(432\) | −0.274188 | + | 0.843864i | −0.0131919 | + | 0.0406004i | ||||
\(433\) | −3.34165 | − | 10.2845i | −0.160589 | − | 0.494243i | 0.838095 | − | 0.545525i | \(-0.183670\pi\) |
−0.998684 | + | 0.0512812i | \(0.983670\pi\) | |||||||
\(434\) | −6.12001 | + | 10.6553i | −0.293770 | + | 0.511473i | ||||
\(435\) | −44.0242 | + | 9.34081i | −2.11080 | + | 0.447857i | ||||
\(436\) | −2.23022 | + | 0.724642i | −0.106808 | + | 0.0347040i | ||||
\(437\) | 4.15530 | + | 1.35014i | 0.198775 | + | 0.0645858i | ||||
\(438\) | −13.9357 | + | 19.1809i | −0.665875 | + | 0.916499i | ||||
\(439\) | −6.91580 | −0.330073 | −0.165037 | − | 0.986287i | \(-0.552774\pi\) | ||||
−0.165037 | + | 0.986287i | \(0.552774\pi\) | |||||||
\(440\) | −5.38244 | − | 5.10190i | −0.256598 | − | 0.243223i | ||||
\(441\) | −12.2381 | + | 13.7152i | −0.582766 | + | 0.653102i | ||||
\(442\) | 0.418794 | + | 0.304272i | 0.0199200 | + | 0.0144727i | ||||
\(443\) | 20.7098 | + | 6.72901i | 0.983950 | + | 0.319705i | 0.756434 | − | 0.654069i | \(-0.226940\pi\) |
0.227516 | + | 0.973774i | \(0.426940\pi\) | |||||||
\(444\) | −9.14692 | + | 2.97201i | −0.434093 | + | 0.141046i | ||||
\(445\) | −22.2831 | + | 4.72791i | −1.05632 | + | 0.224124i | ||||
\(446\) | −12.8259 | + | 9.31857i | −0.607324 | + | 0.441247i | ||||
\(447\) | 25.7920 | − | 8.38032i | 1.21992 | − | 0.396375i | ||||
\(448\) | −2.63063 | + | 0.282464i | −0.124286 | + | 0.0133452i | ||||
\(449\) | −17.2079 | − | 12.5023i | −0.812091 | − | 0.590018i | 0.102345 | − | 0.994749i | \(-0.467365\pi\) |
−0.914436 | + | 0.404730i | \(0.867365\pi\) | |||||||
\(450\) | 8.77826 | + | 9.76360i | 0.413811 | + | 0.460261i | ||||
\(451\) | −6.13321 | + | 4.22372i | −0.288802 | + | 0.198887i | ||||
\(452\) | 8.63467i | 0.406141i | ||||||||
\(453\) | 2.83652 | − | 3.90414i | 0.133271 | − | 0.183432i | ||||
\(454\) | −14.1957 | − | 4.61246i | −0.666236 | − | 0.216473i | ||||
\(455\) | 4.57319 | − | 1.49543i | 0.214395 | − | 0.0701068i | ||||
\(456\) | 1.43552 | − | 1.04296i | 0.0672242 | − | 0.0488412i | ||||
\(457\) | −6.90983 | + | 5.02029i | −0.323228 | + | 0.234839i | −0.737552 | − | 0.675291i | \(-0.764018\pi\) |
0.414323 | + | 0.910130i | \(0.364018\pi\) | |||||||
\(458\) | 20.6300 | − | 6.70311i | 0.963979 | − | 0.313216i | ||||
\(459\) | −0.537119 | − | 0.174521i | −0.0250706 | − | 0.00814592i | ||||
\(460\) | 6.52562 | + | 11.3123i | 0.304258 | + | 0.527437i | ||||
\(461\) | 13.2900 | 0.618978 | 0.309489 | − | 0.950903i | \(-0.399842\pi\) | ||||
0.309489 | + | 0.950903i | \(0.399842\pi\) | |||||||
\(462\) | −15.7835 | + | 13.5675i | −0.734314 | + | 0.631217i | ||||
\(463\) | − | 22.8521i | − | 1.06203i | −0.847363 | − | 0.531015i | \(-0.821811\pi\) | ||
0.847363 | − | 0.531015i | \(-0.178189\pi\) | |||||||
\(464\) | −4.98759 | + | 6.86483i | −0.231543 | + | 0.318692i | ||||
\(465\) | 16.4890 | − | 18.2995i | 0.764661 | − | 0.848617i | ||||
\(466\) | −7.94910 | − | 24.4648i | −0.368235 | − | 1.13331i | ||||
\(467\) | −21.1191 | + | 15.3439i | −0.977275 | + | 0.710032i | −0.957098 | − | 0.289765i | \(-0.906423\pi\) |
−0.0201767 | + | 0.999796i | \(0.506423\pi\) | |||||||
\(468\) | 1.25529 | + | 1.72776i | 0.0580259 | + | 0.0798658i | ||||
\(469\) | 12.6356 | + | 13.9700i | 0.583457 | + | 0.645076i | ||||
\(470\) | −7.54181 | − | 6.79568i | −0.347878 | − | 0.313461i | ||||
\(471\) | −7.77656 | − | 5.65000i | −0.358325 | − | 0.260338i | ||||
\(472\) | 12.0345i | 0.553933i | ||||||||
\(473\) | −4.70550 | − | 3.60365i | −0.216359 | − | 0.165696i | ||||
\(474\) | 36.9603i | 1.69764i | ||||||||
\(475\) | 0.388261 | + | 3.72024i | 0.0178146 | + | 0.170696i | ||||
\(476\) | −0.179788 | − | 1.67439i | −0.00824059 | − | 0.0767458i | ||||
\(477\) | −5.26465 | + | 1.71059i | −0.241052 | + | 0.0783225i | ||||
\(478\) | −4.60761 | − | 6.34184i | −0.210747 | − | 0.290069i | ||||
\(479\) | −10.9775 | + | 7.97561i | −0.501574 | + | 0.364415i | −0.809618 | − | 0.586957i | \(-0.800326\pi\) |
0.308044 | + | 0.951372i | \(0.400326\pi\) | |||||||
\(480\) | 5.27447 | + | 0.556321i | 0.240746 | + | 0.0253925i | ||||
\(481\) | 1.01906 | − | 3.13634i | 0.0464651 | − | 0.143005i | ||||
\(482\) | −24.7383 | − | 17.9734i | −1.12680 | − | 0.818666i | ||||
\(483\) | 33.4489 | − | 14.9825i | 1.52198 | − | 0.681728i | ||||
\(484\) | −9.21412 | + | 6.00832i | −0.418824 | + | 0.273106i | ||||
\(485\) | 11.0065 | − | 24.6966i | 0.499778 | − | 1.12142i | ||||
\(486\) | −17.0016 | − | 12.3524i | −0.771210 | − | 0.560317i | ||||
\(487\) | −25.0477 | − | 8.13850i | −1.13502 | − | 0.368791i | −0.319539 | − | 0.947573i | \(-0.603528\pi\) |
−0.815482 | + | 0.578782i | \(0.803528\pi\) | |||||||
\(488\) | 3.62208 | + | 11.1476i | 0.163964 | + | 0.504629i | ||||
\(489\) | 23.1611 | + | 31.8785i | 1.04738 | + | 1.44160i | ||||
\(490\) | −13.5876 | − | 7.77025i | −0.613826 | − | 0.351024i | ||||
\(491\) | 28.3233 | − | 9.20280i | 1.27821 | − | 0.415317i | 0.410262 | − | 0.911967i | \(-0.365437\pi\) |
0.867950 | + | 0.496651i | \(0.165437\pi\) | |||||||
\(492\) | 1.64573 | − | 5.06502i | 0.0741950 | − | 0.228349i | ||||
\(493\) | −4.36946 | − | 3.17460i | −0.196791 | − | 0.142977i | ||||
\(494\) | 0.608413i | 0.0273738i | ||||||||
\(495\) | 17.1090 | − | 9.30213i | 0.768994 | − | 0.418099i | ||||
\(496\) | − | 4.64437i | − | 0.208538i | ||||||
\(497\) | 4.14572 | − | 19.7217i | 0.185961 | − | 0.884641i | ||||
\(498\) | 16.7399 | + | 5.43911i | 0.750132 | + | 0.243733i | ||||
\(499\) | −4.08584 | − | 12.5749i | −0.182907 | − | 0.562931i | 0.816999 | − | 0.576639i | \(-0.195636\pi\) |
−0.999906 | + | 0.0137088i | \(0.995636\pi\) | |||||||
\(500\) | −6.58156 | + | 9.03787i | −0.294336 | + | 0.404186i | ||||
\(501\) | 3.94602 | + | 5.43123i | 0.176295 | + | 0.242649i | ||||
\(502\) | −3.71471 | + | 1.20698i | −0.165796 | + | 0.0538703i | ||||
\(503\) | −15.6041 | − | 5.07007i | −0.695752 | − | 0.226063i | −0.0602731 | − | 0.998182i | \(-0.519197\pi\) |
−0.635479 | + | 0.772119i | \(0.719197\pi\) | |||||||
\(504\) | 1.42921 | − | 6.79893i | 0.0636619 | − | 0.302848i | ||||
\(505\) | −1.90638 | + | 4.27759i | −0.0848328 | + | 0.190350i | ||||
\(506\) | 18.5675 | − | 5.51890i | 0.825428 | − | 0.245345i | ||||
\(507\) | 29.2658 | 1.29974 | ||||||||
\(508\) | 3.94559 | + | 2.86664i | 0.175057 | + | 0.127187i | ||||
\(509\) | 39.3139 | + | 12.7738i | 1.74256 | + | 0.566191i | 0.995167 | − | 0.0981955i | \(-0.0313071\pi\) |
0.747389 | + | 0.664386i | \(0.231307\pi\) | |||||||
\(510\) | −0.354098 | + | 3.35720i | −0.0156797 | + | 0.148659i | ||||
\(511\) | −13.1716 | + | 22.9327i | −0.582679 | + | 1.01448i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −0.205117 | − | 0.631286i | −0.00905615 | − | 0.0278720i | ||||
\(514\) | −6.06728 | + | 18.6732i | −0.267616 | + | 0.823638i | ||||
\(515\) | 18.9971 | − | 10.9587i | 0.837111 | − | 0.482898i | ||||
\(516\) | 4.23865 | 0.186596 | ||||||||
\(517\) | −12.4014 | + | 8.54037i | −0.545413 | + | 0.375605i | ||||
\(518\) | −9.79074 | + | 4.38549i | −0.430180 | + | 0.192687i | ||||
\(519\) | −29.2363 | + | 40.2403i | −1.28333 | + | 1.76635i | ||||
\(520\) | −1.21736 | + | 1.35102i | −0.0533846 | + | 0.0592460i | ||||
\(521\) | −40.5006 | + | 13.1594i | −1.77436 | + | 0.576526i | −0.998519 | − | 0.0543984i | \(-0.982676\pi\) |
−0.775845 | + | 0.630924i | \(0.782676\pi\) | |||||||
\(522\) | −13.0970 | − | 18.0265i | −0.573240 | − | 0.788997i | ||||
\(523\) | −20.4047 | − | 28.0847i | −0.892236 | − | 1.22806i | −0.972879 | − | 0.231315i | \(-0.925697\pi\) |
0.0806429 | − | 0.996743i | \(-0.474303\pi\) | |||||||
\(524\) | −3.88405 | − | 11.9539i | −0.169675 | − | 0.522207i | ||||
\(525\) | 23.3496 | + | 20.9602i | 1.01906 | + | 0.914778i | ||||
\(526\) | −15.6867 | − | 11.3971i | −0.683973 | − | 0.496936i | ||||
\(527\) | 2.95614 | 0.128771 | ||||||||
\(528\) | 2.61901 | − | 7.41794i | 0.113978 | − | 0.322825i | ||||
\(529\) | −11.1101 | −0.483050 | ||||||||
\(530\) | −2.35539 | − | 4.08310i | −0.102311 | − | 0.177358i | ||||
\(531\) | −30.0549 | − | 9.76543i | −1.30427 | − | 0.423783i | ||||
\(532\) | 1.46790 | − | 1.32768i | 0.0636415 | − | 0.0575623i | ||||
\(533\) | 1.07335 | + | 1.47734i | 0.0464920 | + | 0.0639908i | ||||
\(534\) | −14.2026 | − | 19.5482i | −0.614608 | − | 0.845935i | ||||
\(535\) | 1.24222 | + | 0.131022i | 0.0537060 | + | 0.00566459i | ||||
\(536\) | −6.77113 | − | 2.20007i | −0.292468 | − | 0.0950287i | ||||
\(537\) | −2.44184 | − | 1.77410i | −0.105373 | − | 0.0765580i | ||||
\(538\) | 29.7446i | 1.28238i | ||||||||
\(539\) | −15.8894 | + | 16.9271i | −0.684406 | + | 0.729101i | ||||
\(540\) | 0.807646 | − | 1.81222i | 0.0347555 | − | 0.0779854i | ||||
\(541\) | 2.63962 | − | 3.63313i | 0.113486 | − | 0.156200i | −0.748495 | − | 0.663140i | \(-0.769223\pi\) |
0.861981 | + | 0.506940i | \(0.169223\pi\) | |||||||
\(542\) | −0.613137 | + | 1.88704i | −0.0263365 | + | 0.0810553i | ||||
\(543\) | −12.3455 | + | 4.01130i | −0.529797 | + | 0.172141i | ||||
\(544\) | 0.374125 | + | 0.514939i | 0.0160405 | + | 0.0220778i | ||||
\(545\) | 5.12937 | − | 1.08832i | 0.219718 | − | 0.0466185i | ||||
\(546\) | 3.42359 | + | 3.78516i | 0.146516 | + | 0.161990i | ||||
\(547\) | −11.0877 | + | 34.1243i | −0.474074 | + | 1.45905i | 0.373128 | + | 0.927780i | \(0.378285\pi\) |
−0.847202 | + | 0.531270i | \(0.821715\pi\) | |||||||
\(548\) | −12.0558 | + | 16.5933i | −0.514996 | + | 0.708832i | ||||
\(549\) | −30.7792 | −1.31362 | ||||||||
\(550\) | 10.7725 | + | 12.6077i | 0.459340 | + | 0.537594i | ||||
\(551\) | − | 6.34784i | − | 0.270427i | ||||||
\(552\) | −8.14249 | + | 11.2072i | −0.346567 | + | 0.477009i | ||||
\(553\) | 4.40151 | + | 40.9919i | 0.187171 | + | 1.74315i | ||||
\(554\) | 6.82637 | + | 21.0094i | 0.290025 | + | 0.892604i | ||||
\(555\) | 21.0374 | − | 4.46359i | 0.892987 | − | 0.189469i | ||||
\(556\) | 4.15370 | − | 3.01784i | 0.176156 | − | 0.127985i | ||||
\(557\) | −14.1950 | − | 43.6878i | −0.601463 | − | 1.85111i | −0.519487 | − | 0.854479i | \(-0.673877\pi\) |
−0.0819763 | − | 0.996634i | \(-0.526123\pi\) | |||||||
\(558\) | 11.5988 | + | 3.76868i | 0.491017 | + | 0.159541i | ||||
\(559\) | −0.854269 | + | 1.17580i | −0.0361317 | + | 0.0497310i | ||||
\(560\) | 5.91607 | − | 0.0111205i | 0.250000 | − | 0.000469928i | ||||
\(561\) | 4.72152 | + | 1.66700i | 0.199343 | + | 0.0703806i | ||||
\(562\) | − | 24.6894i | − | 1.04146i | ||||||
\(563\) | −1.67074 | + | 2.29958i | −0.0704135 | + | 0.0969158i | −0.842771 | − | 0.538272i | \(-0.819077\pi\) |
0.772358 | + | 0.635188i | \(0.219077\pi\) | |||||||
\(564\) | 3.32766 | − | 10.2415i | 0.140120 | − | 0.431245i | ||||
\(565\) | 2.02523 | − | 19.2012i | 0.0852021 | − | 0.807801i | ||||
\(566\) | −12.0273 | − | 16.5541i | −0.505544 | − | 0.695822i | ||||
\(567\) | −22.9020 | − | 13.1540i | −0.961791 | − | 0.552415i | ||||
\(568\) | 2.35379 | + | 7.24423i | 0.0987629 | + | 0.303961i | ||||
\(569\) | −16.9563 | − | 5.50944i | −0.710846 | − | 0.230968i | −0.0687963 | − | 0.997631i | \(-0.521916\pi\) |
−0.642050 | + | 0.766663i | \(0.721916\pi\) | |||||||
\(570\) | −3.43683 | + | 1.98258i | −0.143953 | + | 0.0830410i | ||||
\(571\) | 21.8949i | 0.916274i | 0.888882 | + | 0.458137i | \(0.151483\pi\) | ||||
−0.888882 | + | 0.458137i | \(0.848517\pi\) | |||||||
\(572\) | 1.52989 | + | 2.22154i | 0.0639681 | + | 0.0928874i | ||||
\(573\) | −21.1816 | −0.884872 | ||||||||
\(574\) | 1.22206 | − | 5.81350i | 0.0510078 | − | 0.242651i | ||||
\(575\) | −11.8580 | − | 26.6860i | −0.494512 | − | 1.11288i | ||||
\(576\) | 0.811453 | + | 2.49739i | 0.0338105 | + | 0.104058i | ||||
\(577\) | −31.6951 | + | 23.0279i | −1.31949 | + | 0.958663i | −0.319547 | + | 0.947570i | \(0.603531\pi\) |
−0.999938 | + | 0.0110923i | \(0.996469\pi\) | |||||||
\(578\) | 13.4255 | − | 9.75422i | 0.558428 | − | 0.405722i | ||||
\(579\) | −15.4823 | − | 47.6496i | −0.643422 | − | 1.98025i | ||||
\(580\) | 12.7012 | − | 14.0957i | 0.527388 | − | 0.585293i | ||||
\(581\) | 19.2136 | + | 4.03890i | 0.797114 | + | 0.167562i | ||||
\(582\) | 28.6807 | 1.18885 | ||||||||
\(583\) | −6.70185 | + | 1.99202i | −0.277562 | + | 0.0825009i | ||||
\(584\) | − | 9.99573i | − | 0.413626i | ||||||
\(585\) | −2.38619 | − | 4.13650i | −0.0986569 | − | 0.171023i | ||||
\(586\) | 13.3177 | + | 4.32720i | 0.550151 | + | 0.178755i | ||||
\(587\) | 4.57871 | + | 14.0918i | 0.188983 | + | 0.581631i | 0.999994 | − | 0.00340007i | \(-0.00108228\pi\) |
−0.811011 | + | 0.585031i | \(0.801082\pi\) | |||||||
\(588\) | 1.66134 | − | 16.5200i | 0.0685126 | − | 0.681273i | ||||
\(589\) | 2.04220 | + | 2.81085i | 0.0841475 | + | 0.115819i | ||||
\(590\) | 2.82265 | − | 26.7615i | 0.116207 | − | 1.10175i | ||||
\(591\) | 10.0030 | − | 30.7860i | 0.411468 | − | 1.26637i | ||||
\(592\) | 2.38336 | − | 3.28042i | 0.0979557 | − | 0.134824i | ||||
\(593\) | 18.0520i | 0.741306i | 0.928771 | + | 0.370653i | \(0.120866\pi\) | ||||
−0.928771 | + | 0.370653i | \(0.879134\pi\) | |||||||
\(594\) | −2.33637 | − | 1.78928i | −0.0958623 | − | 0.0734150i | ||||
\(595\) | 0.00707822 | + | 3.76558i | 0.000290179 | + | 0.154374i | ||||
\(596\) | −6.72048 | + | 9.24994i | −0.275281 | + | 0.378892i | ||||
\(597\) | −13.0083 | − | 4.22666i | −0.532395 | − | 0.172986i | ||||
\(598\) | −1.46781 | − | 4.51745i | −0.0600231 | − | 0.184732i | ||||
\(599\) | −31.0302 | + | 22.5447i | −1.26786 | + | 0.921153i | −0.999115 | − | 0.0420585i | \(-0.986608\pi\) |
−0.268744 | + | 0.963212i | \(0.586608\pi\) | |||||||
\(600\) | −11.5985 | − | 2.47422i | −0.473508 | − | 0.101010i | ||||
\(601\) | 13.0875 | + | 40.2791i | 0.533849 | + | 1.64302i | 0.746122 | + | 0.665809i | \(0.231913\pi\) |
−0.212273 | + | 0.977210i | \(0.568087\pi\) | |||||||
\(602\) | 4.70100 | − | 0.504771i | 0.191599 | − | 0.0205729i | ||||
\(603\) | 10.9889 | − | 15.1249i | 0.447503 | − | 0.615935i | ||||
\(604\) | 2.03456i | 0.0827851i | ||||||||
\(605\) | 21.8990 | − | 11.1998i | 0.890320 | − | 0.455335i | ||||
\(606\) | −4.96765 | −0.201797 | ||||||||
\(607\) | 14.1598 | − | 19.4893i | 0.574728 | − | 0.791046i | −0.418377 | − | 0.908274i | \(-0.637401\pi\) |
0.993105 | + | 0.117228i | \(0.0374008\pi\) | |||||||
\(608\) | −0.231172 | + | 0.711476i | −0.00937528 | + | 0.0288541i | ||||
\(609\) | −35.7198 | − | 39.4922i | −1.44744 | − | 1.60030i | ||||
\(610\) | −5.43991 | − | 25.6389i | −0.220255 | − | 1.03809i | ||||
\(611\) | 2.17032 | + | 2.98719i | 0.0878019 | + | 0.120849i | ||||
\(612\) | −1.58959 | + | 0.516489i | −0.0642554 | + | 0.0208778i | ||||
\(613\) | −7.73309 | + | 23.8000i | −0.312337 | + | 0.961273i | 0.664500 | + | 0.747288i | \(0.268644\pi\) |
−0.976837 | + | 0.213985i | \(0.931356\pi\) | |||||||
\(614\) | −11.7411 | + | 16.1602i | −0.473832 | + | 0.652174i | ||||
\(615\) | −4.84764 | + | 10.8773i | −0.195476 | + | 0.438613i | ||||
\(616\) | 2.02130 | − | 8.53899i | 0.0814406 | − | 0.344046i | ||||
\(617\) | 9.96719i | 0.401264i | 0.979667 | + | 0.200632i | \(0.0642995\pi\) | ||||
−0.979667 | + | 0.200632i | \(0.935700\pi\) | |||||||
\(618\) | 18.8206 | + | 13.6740i | 0.757076 | + | 0.550048i | ||||
\(619\) | 17.5478 | + | 5.70164i | 0.705307 | + | 0.229168i | 0.639641 | − | 0.768674i | \(-0.279083\pi\) |
0.0656656 | + | 0.997842i | \(0.479083\pi\) | |||||||
\(620\) | −1.08932 | + | 10.3278i | −0.0437481 | + | 0.414776i | ||||
\(621\) | 3.04598 | + | 4.19243i | 0.122231 | + | 0.168236i | ||||
\(622\) | −17.9668 | − | 24.7292i | −0.720404 | − | 0.991552i | ||||
\(623\) | −18.0798 | − | 19.9892i | −0.724352 | − | 0.800851i | ||||
\(624\) | −1.83463 | − | 0.596107i | −0.0734439 | − | 0.0238634i | ||||
\(625\) | 16.7554 | − | 18.5541i | 0.670217 | − | 0.742165i | ||||
\(626\) | −10.3327 | −0.412978 | ||||||||
\(627\) | 1.67672 | + | 5.64109i | 0.0669618 | + | 0.225283i | ||||
\(628\) | 4.05259 | 0.161716 | ||||||||
\(629\) | 2.08799 | + | 1.51701i | 0.0832534 | + | 0.0604872i | ||||
\(630\) | −4.77284 | + | 14.7838i | −0.190154 | + | 0.589000i | ||||
\(631\) | 7.41037 | + | 22.8068i | 0.295002 | + | 0.907924i | 0.983221 | + | 0.182420i | \(0.0583931\pi\) |
−0.688218 | + | 0.725504i | \(0.741607\pi\) | |||||||
\(632\) | −9.15919 | − | 12.6065i | −0.364333 | − | 0.501461i | ||||
\(633\) | 30.0773 | + | 41.3979i | 1.19547 | + | 1.64542i | ||||
\(634\) | −2.49090 | + | 0.809344i | −0.0989264 | + | 0.0321431i | ||||
\(635\) | −8.10159 | − | 7.30007i | −0.321502 | − | 0.289694i | ||||
\(636\) | 2.93899 | − | 4.04517i | 0.116538 | − | 0.160401i | ||||
\(637\) | 4.24781 | + | 3.79034i | 0.168304 | + | 0.150179i | ||||
\(638\) | −15.9620 | − | 23.1783i | −0.631943 | − | 0.917638i | ||||
\(639\) | −20.0017 | −0.791254 | ||||||||
\(640\) | −1.93690 | + | 1.11733i | −0.0765627 | + | 0.0441662i | ||||
\(641\) | −13.5051 | + | 41.5643i | −0.533417 | + | 1.64169i | 0.213627 | + | 0.976915i | \(0.431472\pi\) |
−0.747044 | + | 0.664775i | \(0.768528\pi\) | |||||||
\(642\) | 0.409445 | + | 1.26014i | 0.0161595 | + | 0.0497339i | ||||
\(643\) | −31.0256 | + | 22.5414i | −1.22353 | + | 0.888947i | −0.996388 | − | 0.0849146i | \(-0.972938\pi\) |
−0.227142 | + | 0.973862i | \(0.572938\pi\) | |||||||
\(644\) | −7.69604 | + | 13.3993i | −0.303266 | + | 0.528008i | ||||
\(645\) | −9.42562 | − | 0.994159i | −0.371133 | − | 0.0391450i | ||||
\(646\) | −0.452854 | − | 0.147141i | −0.0178173 | − | 0.00578919i | ||||
\(647\) | −10.9257 | − | 7.93796i | −0.429532 | − | 0.312073i | 0.351930 | − | 0.936026i | \(-0.385526\pi\) |
−0.781462 | + | 0.623953i | \(0.785526\pi\) | |||||||
\(648\) | 9.98231 | 0.392142 | ||||||||
\(649\) | −37.6370 | − | 13.2883i | −1.47738 | − | 0.521610i | ||||
\(650\) | 3.02395 | − | 2.71877i | 0.118609 | − | 0.106639i | ||||
\(651\) | 28.5222 | + | 5.99566i | 1.11787 | + | 0.234989i | ||||
\(652\) | −15.7998 | − | 5.13365i | −0.618766 | − | 0.201049i | ||||
\(653\) | 31.7819 | − | 10.3266i | 1.24372 | − | 0.404109i | 0.388054 | − | 0.921637i | \(-0.373147\pi\) |
0.855667 | + | 0.517527i | \(0.173147\pi\) | |||||||
\(654\) | 3.26931 | + | 4.49982i | 0.127840 | + | 0.175957i | ||||
\(655\) | 5.83335 | + | 27.4932i | 0.227928 | + | 1.07425i | ||||
\(656\) | 0.693842 | + | 2.13543i | 0.0270900 | + | 0.0833744i | ||||
\(657\) | 24.9633 | + | 8.11106i | 0.973911 | + | 0.316443i | ||||
\(658\) | 2.47101 | − | 11.7549i | 0.0963301 | − | 0.458255i | ||||
\(659\) | − | 5.15933i | − | 0.200979i | −0.994938 | − | 0.100489i | \(-0.967959\pi\) | ||
0.994938 | − | 0.100489i | \(-0.0320409\pi\) | |||||||
\(660\) | −7.56382 | + | 15.8812i | −0.294421 | + | 0.618177i | ||||
\(661\) | − | 33.9879i | − | 1.32198i | −0.750396 | − | 0.660989i | \(-0.770137\pi\) | ||
0.750396 | − | 0.660989i | \(-0.229863\pi\) | |||||||
\(662\) | 7.81203 | + | 5.67577i | 0.303623 | + | 0.220595i | ||||
\(663\) | 0.379422 | − | 1.16774i | 0.0147355 | − | 0.0453513i | ||||
\(664\) | −7.05758 | + | 2.29315i | −0.273887 | + | 0.0889913i | ||||
\(665\) | −3.57562 | + | 2.60812i | −0.138657 | + | 0.101139i | ||||
\(666\) | 6.25851 | + | 8.61411i | 0.242512 | + | 0.333790i | ||||
\(667\) | 15.3143 | + | 47.1325i | 0.592971 | + | 1.82498i | ||||
\(668\) | −2.69185 | − | 0.874634i | −0.104151 | − | 0.0338406i | ||||
\(669\) | 30.4218 | + | 22.1027i | 1.17617 | + | 0.854541i | ||||
\(670\) | 14.5412 | + | 6.48052i | 0.561774 | + | 0.250364i | ||||
\(671\) | −38.8628 | − | 0.981188i | −1.50028 | − | 0.0378784i | ||||
\(672\) | 2.56533 | + | 5.72717i | 0.0989596 | + | 0.220930i | ||||
\(673\) | 13.2169 | + | 9.60262i | 0.509473 | + | 0.370154i | 0.812624 | − | 0.582789i | \(-0.198039\pi\) |
−0.303151 | + | 0.952943i | \(0.598039\pi\) | |||||||
\(674\) | −6.71481 | + | 20.6661i | −0.258645 | + | 0.796027i | ||||
\(675\) | −2.22104 | + | 3.84046i | −0.0854878 | + | 0.147819i | ||||
\(676\) | −9.98211 | + | 7.25242i | −0.383927 | + | 0.278939i | ||||
\(677\) | −11.3366 | − | 15.6036i | −0.435703 | − | 0.599693i | 0.533548 | − | 0.845770i | \(-0.320858\pi\) |
−0.969250 | + | 0.246077i | \(0.920858\pi\) | |||||||
\(678\) | 19.4782 | − | 6.32885i | 0.748056 | − | 0.243058i | ||||
\(679\) | 31.8092 | − | 3.41552i | 1.22073 | − | 0.131076i | ||||
\(680\) | −0.711177 | − | 1.23284i | −0.0272724 | − | 0.0472771i | ||||
\(681\) | 35.4035i | 1.35667i | ||||||||
\(682\) | 14.5249 | + | 5.12821i | 0.556187 | + | 0.196369i | ||||
\(683\) | 42.7262i | 1.63487i | 0.576020 | + | 0.817435i | \(0.304605\pi\) | ||||
−0.576020 | + | 0.817435i | \(0.695395\pi\) | |||||||
\(684\) | −1.58925 | − | 1.15466i | −0.0607665 | − | 0.0441494i | ||||
\(685\) | 30.7007 | − | 34.0715i | 1.17301 | − | 1.30180i | ||||
\(686\) | −0.124766 | − | 18.5198i | −0.00476357 | − | 0.707091i | ||||
\(687\) | −30.2419 | − | 41.6244i | −1.15380 | − | 1.58807i | ||||
\(688\) | −1.44573 | + | 1.05039i | −0.0551181 | + | 0.0400456i | ||||
\(689\) | 0.529797 | + | 1.63055i | 0.0201837 | + | 0.0621190i | ||||
\(690\) | 20.7353 | − | 23.0120i | 0.789380 | − | 0.876051i | ||||
\(691\) | −22.0867 | + | 30.3997i | −0.840216 | + | 1.15646i | 0.145718 | + | 0.989326i | \(0.453451\pi\) |
−0.985934 | + | 0.167132i | \(0.946549\pi\) | |||||||
\(692\) | − | 20.9704i | − | 0.797175i | ||||||
\(693\) | 19.6850 | + | 11.9770i | 0.747773 | + | 0.454968i | ||||
\(694\) | 7.28099 | 0.276382 | ||||||||
\(695\) | −9.94453 | + | 5.73663i | −0.377218 | + | 0.217603i | ||||
\(696\) | 19.1415 | + | 6.21944i | 0.725555 | + | 0.235747i | ||||
\(697\) | −1.35920 | + | 0.441630i | −0.0514833 | + | 0.0167279i | ||||
\(698\) | 7.96605 | − | 5.78768i | 0.301520 | − | 0.219067i | ||||
\(699\) | −49.3617 | + | 35.8634i | −1.86703 | + | 1.35648i | ||||
\(700\) | −13.1584 | − | 1.36286i | −0.497339 | − | 0.0515114i | ||||
\(701\) | −9.48040 | − | 3.08037i | −0.358070 | − | 0.116344i | 0.124457 | − | 0.992225i | \(-0.460281\pi\) |
−0.482527 | + | 0.875881i | \(0.660281\pi\) | |||||||
\(702\) | −0.424160 | + | 0.583806i | −0.0160089 | + | 0.0220343i | ||||
\(703\) | 3.03337i | 0.114406i | ||||||||
\(704\) | 0.944954 | + | 3.17916i | 0.0356143 | + | 0.119819i | ||||
\(705\) | −9.80194 | + | 21.9939i | −0.369163 | + | 0.828337i | ||||
\(706\) | 6.34305 | + | 4.60850i | 0.238724 | + | 0.173443i | ||||
\(707\) | −5.50953 | + | 0.591587i | −0.207207 | + | 0.0222489i | ||||
\(708\) | 27.1476 | − | 8.82078i | 1.02027 | − | 0.331505i | ||||
\(709\) | 14.2703 | − | 10.3680i | 0.535932 | − | 0.389377i | −0.286640 | − | 0.958038i | \(-0.592538\pi\) |
0.822572 | + | 0.568661i | \(0.192538\pi\) | |||||||
\(710\) | −3.53510 | − | 16.6613i | −0.132670 | − | 0.625288i | ||||
\(711\) | 38.9158 | − | 12.6445i | 1.45945 | − | 0.474206i | ||||
\(712\) | 9.68857 | + | 3.14801i | 0.363094 | + | 0.117977i | ||||
\(713\) | −21.9445 | − | 15.9436i | −0.821828 | − | 0.597093i | ||||
\(714\) | −3.64534 | + | 1.63283i | −0.136424 | + | 0.0611071i | ||||
\(715\) | −2.88102 | − | 5.29895i | −0.107744 | − | 0.198170i | ||||
\(716\) | 1.27251 | 0.0475560 | ||||||||
\(717\) | −10.9288 | + | 15.0422i | −0.408144 | + | 0.561762i | ||||
\(718\) | 32.5863 | + | 10.5879i | 1.21611 | + | 0.395138i | ||||
\(719\) | 6.31619 | − | 2.05225i | 0.235554 | − | 0.0765361i | −0.188861 | − | 0.982004i | \(-0.560480\pi\) |
0.424415 | + | 0.905468i | \(0.360480\pi\) | |||||||
\(720\) | −1.21870 | − | 5.74386i | −0.0454182 | − | 0.214061i | ||||
\(721\) | 22.5020 | + | 12.9242i | 0.838018 | + | 0.481324i | ||||
\(722\) | 5.69839 | + | 17.5378i | 0.212072 | + | 0.652690i | ||||
\(723\) | −22.4125 | + | 68.9786i | −0.833530 | + | 2.56534i | ||||
\(724\) | 3.21681 | − | 4.42756i | 0.119552 | − | 0.164549i | ||||
\(725\) | −31.5502 | + | 28.3661i | −1.17174 | + | 1.05349i | ||||
\(726\) | 20.3072 | + | 16.3815i | 0.753671 | + | 0.607974i | ||||
\(727\) | 40.8132 | 1.51368 | 0.756839 | − | 0.653601i | \(-0.226742\pi\) | ||||
0.756839 | + | 0.653601i | \(0.226742\pi\) | |||||||
\(728\) | −2.10574 | − | 0.442649i | −0.0780439 | − | 0.0164057i | ||||
\(729\) | −6.14913 | + | 18.9251i | −0.227746 | + | 0.700929i | ||||
\(730\) | −2.34446 | + | 22.2278i | −0.0867725 | + | 0.822689i | ||||
\(731\) | −0.668571 | − | 0.920209i | −0.0247280 | − | 0.0340352i | ||||
\(732\) | 22.4921 | − | 16.3415i | 0.831332 | − | 0.603998i | ||||
\(733\) | 20.9481 | − | 6.80646i | 0.773737 | − | 0.251402i | 0.104573 | − | 0.994517i | \(-0.466652\pi\) |
0.669164 | + | 0.743115i | \(0.266652\pi\) | |||||||
\(734\) | 8.93956 | − | 27.5131i | 0.329965 | − | 1.01553i | ||||
\(735\) | −7.56908 | + | 36.3464i | −0.279190 | + | 1.34066i | ||||
\(736\) | − | 5.84039i | − | 0.215280i | ||||||
\(737\) | 14.3571 | − | 18.7469i | 0.528851 | − | 0.690552i | ||||
\(738\) | −5.89602 | −0.217036 | ||||||||
\(739\) | 15.4581 | − | 21.2762i | 0.568635 | − | 0.782659i | −0.423757 | − | 0.905776i | \(-0.639289\pi\) |
0.992392 | + | 0.123117i | \(0.0392891\pi\) | |||||||
\(740\) | −6.06938 | + | 6.73577i | −0.223115 | + | 0.247612i | ||||
\(741\) | 1.37247 | − | 0.445941i | 0.0504188 | − | 0.0163821i | ||||
\(742\) | 2.77784 | − | 4.83642i | 0.101978 | − | 0.177550i | ||||
\(743\) | 42.4776 | − | 30.8618i | 1.55835 | − | 1.13221i | 0.621005 | − | 0.783806i | \(-0.286725\pi\) |
0.937345 | − | 0.348402i | \(-0.113275\pi\) | |||||||
\(744\) | −10.4768 | + | 3.40412i | −0.384099 | + | 0.124801i | ||||
\(745\) | 17.1141 | − | 18.9931i | 0.627012 | − | 0.695855i | ||||
\(746\) | −20.8333 | − | 15.1363i | −0.762762 | − | 0.554179i | ||||
\(747\) | − | 19.4863i | − | 0.712967i | ||||||
\(748\) | −2.02353 | + | 0.601463i | −0.0739877 | + | 0.0219917i | ||||
\(749\) | 0.604175 | + | 1.34884i | 0.0220761 | + | 0.0492855i | ||||
\(750\) | 25.2117 | + | 8.22240i | 0.920602 | + | 0.300239i | ||||
\(751\) | −0.953302 | + | 2.93396i | −0.0347865 | + | 0.107062i | −0.966942 | − | 0.254996i | \(-0.917926\pi\) |
0.932156 | + | 0.362058i | \(0.117926\pi\) | |||||||
\(752\) | 1.40295 | + | 4.31784i | 0.0511604 | + | 0.157456i | ||||
\(753\) | 5.44545 | + | 7.49502i | 0.198443 | + | 0.273134i | ||||
\(754\) | −5.58309 | + | 4.05635i | −0.203324 | + | 0.147724i | ||||
\(755\) | 0.477199 | − | 4.52432i | 0.0173670 | − | 0.164657i | ||||
\(756\) | 2.33413 | − | 0.250628i | 0.0848916 | − | 0.00911525i | ||||
\(757\) | −18.8592 | + | 25.9575i | −0.685450 | + | 0.943440i | −0.999983 | − | 0.00580602i | \(-0.998152\pi\) |
0.314534 | + | 0.949246i | \(0.398152\pi\) | |||||||
\(758\) | −11.5492 | −0.419487 | ||||||||
\(759\) | −26.0588 | − | 37.8398i | −0.945875 | − | 1.37350i | ||||
\(760\) | 0.680940 | − | 1.52791i | 0.0247003 | − | 0.0554232i | ||||
\(761\) | −20.1886 | − | 14.6679i | −0.731836 | − | 0.531710i | 0.158308 | − | 0.987390i | \(-0.449396\pi\) |
−0.890144 | + | 0.455680i | \(0.849396\pi\) | |||||||
\(762\) | 3.57465 | − | 11.0016i | 0.129496 | − | 0.398548i | ||||
\(763\) | 4.16180 | + | 4.60133i | 0.150667 | + | 0.166579i | ||||
\(764\) | 7.22468 | − | 5.24904i | 0.261380 | − | 0.189904i | ||||
\(765\) | 3.65597 | − | 0.775701i | 0.132182 | − | 0.0280455i | ||||
\(766\) | 2.68639 | + | 8.26786i | 0.0970633 | + | 0.298730i | ||||
\(767\) | −3.02451 | + | 9.30850i | −0.109209 | + | 0.336110i | ||||
\(768\) | −1.91891 | − | 1.39417i | −0.0692426 | − | 0.0503077i | ||||
\(769\) | −4.84628 | −0.174761 | −0.0873807 | − | 0.996175i | \(-0.527850\pi\) | ||||
−0.0873807 | + | 0.996175i | \(0.527850\pi\) | |||||||
\(770\) | −6.49763 | + | 18.5143i | −0.234158 | + | 0.667211i | ||||
\(771\) | 46.5702 | 1.67718 | ||||||||
\(772\) | 17.0889 | + | 12.4158i | 0.615042 | + | 0.446854i | ||||
\(773\) | 4.04957 | − | 12.4633i | 0.145653 | − | 0.448274i | −0.851441 | − | 0.524450i | \(-0.824271\pi\) |