Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(71,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bu (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 71.7 | ||
Character | \(\chi\) | \(=\) | 546.71 |
Dual form | 546.2.bu.a.323.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | 1.71146 | − | 0.266310i | 0.988109 | − | 0.153754i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −0.828570 | − | 0.828570i | −0.370548 | − | 0.370548i | 0.497129 | − | 0.867677i | \(-0.334388\pi\) |
−0.867677 | + | 0.497129i | \(0.834388\pi\) | |||||||
\(6\) | −1.58421 | + | 0.700193i | −0.646752 | + | 0.285853i | ||||
\(7\) | 0.258819 | − | 0.965926i | 0.0978244 | − | 0.365086i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 2.85816 | − | 0.911557i | 0.952719 | − | 0.303852i | ||||
\(10\) | 1.01479 | + | 0.585888i | 0.320904 | + | 0.185274i | ||||
\(11\) | 1.25192 | + | 4.67223i | 0.377468 | + | 1.40873i | 0.849705 | + | 0.527258i | \(0.176780\pi\) |
−0.472238 | + | 0.881471i | \(0.656554\pi\) | |||||||
\(12\) | 1.34901 | − | 1.08636i | 0.389425 | − | 0.313605i | ||||
\(13\) | 0.0707604 | − | 3.60486i | 0.0196254 | − | 0.999807i | ||||
\(14\) | 1.00000i | 0.267261i | ||||||||
\(15\) | −1.63872 | − | 1.19740i | −0.423115 | − | 0.309168i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 0.258842 | + | 0.448327i | 0.0627784 | + | 0.108735i | 0.895706 | − | 0.444646i | \(-0.146671\pi\) |
−0.832928 | + | 0.553381i | \(0.813337\pi\) | |||||||
\(18\) | −2.52484 | + | 1.62024i | −0.595110 | + | 0.381895i | ||||
\(19\) | 5.50267 | + | 1.47444i | 1.26240 | + | 0.338259i | 0.827114 | − | 0.562034i | \(-0.189981\pi\) |
0.435285 | + | 0.900293i | \(0.356648\pi\) | |||||||
\(20\) | −1.13185 | − | 0.303278i | −0.253089 | − | 0.0678150i | ||||
\(21\) | 0.185721 | − | 1.72206i | 0.0405276 | − | 0.375785i | ||||
\(22\) | −2.41852 | − | 4.18900i | −0.515631 | − | 0.893098i | ||||
\(23\) | 2.54064 | − | 4.40052i | 0.529760 | − | 0.917572i | −0.469637 | − | 0.882860i | \(-0.655615\pi\) |
0.999397 | − | 0.0347123i | \(-0.0110515\pi\) | |||||||
\(24\) | −1.02187 | + | 1.39849i | −0.208589 | + | 0.285466i | ||||
\(25\) | − | 3.62694i | − | 0.725389i | ||||||
\(26\) | 0.864656 | + | 3.50034i | 0.169573 | + | 0.686473i | ||||
\(27\) | 4.64885 | − | 2.32125i | 0.894672 | − | 0.446724i | ||||
\(28\) | −0.258819 | − | 0.965926i | −0.0489122 | − | 0.182543i | ||||
\(29\) | −1.83703 | − | 1.06061i | −0.341129 | − | 0.196951i | 0.319642 | − | 0.947538i | \(-0.396437\pi\) |
−0.660771 | + | 0.750588i | \(0.729771\pi\) | |||||||
\(30\) | 1.89279 | + | 0.732472i | 0.345575 | + | 0.133730i | ||||
\(31\) | 4.11077 | − | 4.11077i | 0.738316 | − | 0.738316i | −0.233936 | − | 0.972252i | \(-0.575161\pi\) |
0.972252 | + | 0.233936i | \(0.0751607\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 3.38687 | + | 7.66290i | 0.589578 | + | 1.33394i | ||||
\(34\) | −0.366058 | − | 0.366058i | −0.0627784 | − | 0.0627784i | ||||
\(35\) | −1.01479 | + | 0.585888i | −0.171530 | + | 0.0990331i | ||||
\(36\) | 2.01946 | − | 2.21851i | 0.336576 | − | 0.369752i | ||||
\(37\) | −9.86282 | + | 2.64273i | −1.62144 | + | 0.434463i | −0.951423 | − | 0.307886i | \(-0.900379\pi\) |
−0.670014 | + | 0.742349i | \(0.733712\pi\) | |||||||
\(38\) | −5.69678 | −0.924140 | ||||||||
\(39\) | −0.838908 | − | 6.18840i | −0.134333 | − | 0.990936i | ||||
\(40\) | 1.17178 | 0.185274 | ||||||||
\(41\) | 6.46664 | − | 1.73273i | 1.00992 | − | 0.270607i | 0.284324 | − | 0.958728i | \(-0.408231\pi\) |
0.725596 | + | 0.688121i | \(0.241564\pi\) | |||||||
\(42\) | 0.266310 | + | 1.71146i | 0.0410926 | + | 0.264083i | ||||
\(43\) | −0.253885 | + | 0.146580i | −0.0387170 | + | 0.0223533i | −0.519234 | − | 0.854632i | \(-0.673783\pi\) |
0.480517 | + | 0.876986i | \(0.340449\pi\) | |||||||
\(44\) | 3.42031 | + | 3.42031i | 0.515631 | + | 0.515631i | ||||
\(45\) | −3.12347 | − | 1.61290i | −0.465620 | − | 0.240436i | ||||
\(46\) | −1.31513 | + | 4.90814i | −0.193906 | + | 0.723666i | ||||
\(47\) | −8.54481 | + | 8.54481i | −1.24639 | + | 1.24639i | −0.289086 | + | 0.957303i | \(0.593351\pi\) |
−0.957303 | + | 0.289086i | \(0.906649\pi\) | |||||||
\(48\) | 0.625096 | − | 1.61532i | 0.0902248 | − | 0.233151i | ||||
\(49\) | −0.866025 | − | 0.500000i | −0.123718 | − | 0.0714286i | ||||
\(50\) | 0.938722 | + | 3.50336i | 0.132755 | + | 0.495450i | ||||
\(51\) | 0.562390 | + | 0.698360i | 0.0787504 | + | 0.0977899i | ||||
\(52\) | −1.74115 | − | 3.15728i | −0.241454 | − | 0.437836i | ||||
\(53\) | − | 9.52725i | − | 1.30867i | −0.756206 | − | 0.654334i | \(-0.772949\pi\) | ||
0.756206 | − | 0.654334i | \(-0.227051\pi\) | |||||||
\(54\) | −3.88966 | + | 3.44536i | −0.529316 | + | 0.468854i | ||||
\(55\) | 2.83396 | − | 4.90857i | 0.382132 | − | 0.661871i | ||||
\(56\) | 0.500000 | + | 0.866025i | 0.0668153 | + | 0.115728i | ||||
\(57\) | 9.81023 | + | 1.05801i | 1.29940 | + | 0.140137i | ||||
\(58\) | 2.04895 | + | 0.549013i | 0.269040 | + | 0.0720890i | ||||
\(59\) | −1.53749 | − | 0.411970i | −0.200164 | − | 0.0536339i | 0.157344 | − | 0.987544i | \(-0.449707\pi\) |
−0.357508 | + | 0.933910i | \(0.616374\pi\) | |||||||
\(60\) | −2.01787 | − | 0.217623i | −0.260506 | − | 0.0280950i | ||||
\(61\) | 5.90367 | + | 10.2255i | 0.755888 | + | 1.30924i | 0.944932 | + | 0.327267i | \(0.106128\pi\) |
−0.189044 | + | 0.981969i | \(0.560539\pi\) | |||||||
\(62\) | −2.90675 | + | 5.03464i | −0.369158 | + | 0.639400i | ||||
\(63\) | −0.140751 | − | 2.99670i | −0.0177329 | − | 0.377548i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −3.04551 | + | 2.92825i | −0.377749 | + | 0.363204i | ||||
\(66\) | −5.25477 | − | 6.52521i | −0.646817 | − | 0.803198i | ||||
\(67\) | 2.99192 | + | 11.1660i | 0.365521 | + | 1.36414i | 0.866713 | + | 0.498807i | \(0.166228\pi\) |
−0.501192 | + | 0.865336i | \(0.667105\pi\) | |||||||
\(68\) | 0.448327 | + | 0.258842i | 0.0543677 | + | 0.0313892i | ||||
\(69\) | 3.17629 | − | 8.20789i | 0.382380 | − | 0.988114i | ||||
\(70\) | 0.828570 | − | 0.828570i | 0.0990331 | − | 0.0990331i | ||||
\(71\) | −0.487312 | + | 1.81867i | −0.0578332 | + | 0.215837i | −0.988795 | − | 0.149280i | \(-0.952304\pi\) |
0.930962 | + | 0.365117i | \(0.118971\pi\) | |||||||
\(72\) | −1.37645 | + | 2.66559i | −0.162217 | + | 0.314143i | ||||
\(73\) | 4.68386 | + | 4.68386i | 0.548205 | + | 0.548205i | 0.925921 | − | 0.377716i | \(-0.123291\pi\) |
−0.377716 | + | 0.925921i | \(0.623291\pi\) | |||||||
\(74\) | 8.84276 | − | 5.10537i | 1.02795 | − | 0.593487i | ||||
\(75\) | −0.965893 | − | 6.20735i | −0.111532 | − | 0.716763i | ||||
\(76\) | 5.50267 | − | 1.47444i | 0.631199 | − | 0.169129i | ||||
\(77\) | 4.83704 | 0.551232 | ||||||||
\(78\) | 2.41200 | + | 5.76041i | 0.273105 | + | 0.652237i | ||||
\(79\) | 2.53289 | 0.284973 | 0.142486 | − | 0.989797i | \(-0.454490\pi\) | ||||
0.142486 | + | 0.989797i | \(0.454490\pi\) | |||||||
\(80\) | −1.13185 | + | 0.303278i | −0.126544 | + | 0.0339075i | ||||
\(81\) | 7.33813 | − | 5.21075i | 0.815348 | − | 0.578972i | ||||
\(82\) | −5.79783 | + | 3.34738i | −0.640263 | + | 0.369656i | ||||
\(83\) | −11.7215 | − | 11.7215i | −1.28660 | − | 1.28660i | −0.936841 | − | 0.349756i | \(-0.886264\pi\) |
−0.349756 | − | 0.936841i | \(-0.613736\pi\) | |||||||
\(84\) | −0.700193 | − | 1.58421i | −0.0763974 | − | 0.172852i | ||||
\(85\) | 0.157002 | − | 0.585939i | 0.0170292 | − | 0.0635540i | ||||
\(86\) | 0.207296 | − | 0.207296i | 0.0223533 | − | 0.0223533i | ||||
\(87\) | −3.42645 | − | 1.32597i | −0.367354 | − | 0.142159i | ||||
\(88\) | −4.18900 | − | 2.41852i | −0.446549 | − | 0.257815i | ||||
\(89\) | 0.717827 | + | 2.67897i | 0.0760895 | + | 0.283970i | 0.993478 | − | 0.114023i | \(-0.0363737\pi\) |
−0.917389 | + | 0.397993i | \(0.869707\pi\) | |||||||
\(90\) | 3.43449 | + | 0.749523i | 0.362027 | + | 0.0790066i | ||||
\(91\) | −3.46371 | − | 1.00135i | −0.363095 | − | 0.104971i | ||||
\(92\) | − | 5.08128i | − | 0.529760i | ||||||
\(93\) | 5.94066 | − | 8.13014i | 0.616017 | − | 0.843056i | ||||
\(94\) | 6.04209 | − | 10.4652i | 0.623194 | − | 1.07940i | ||||
\(95\) | −3.33767 | − | 5.78102i | −0.342438 | − | 0.593120i | ||||
\(96\) | −0.185721 | + | 1.72206i | −0.0189551 | + | 0.175758i | ||||
\(97\) | 3.95229 | + | 1.05901i | 0.401294 | + | 0.107526i | 0.453821 | − | 0.891093i | \(-0.350061\pi\) |
−0.0525264 | + | 0.998620i | \(0.516727\pi\) | |||||||
\(98\) | 0.965926 | + | 0.258819i | 0.0975732 | + | 0.0261447i | ||||
\(99\) | 7.83718 | + | 12.2128i | 0.787666 | + | 1.22743i | ||||
\(100\) | −1.81347 | − | 3.14102i | −0.181347 | − | 0.314102i | ||||
\(101\) | −1.81765 | + | 3.14826i | −0.180863 | + | 0.313264i | −0.942175 | − | 0.335122i | \(-0.891222\pi\) |
0.761312 | + | 0.648386i | \(0.224556\pi\) | |||||||
\(102\) | −0.723976 | − | 0.529006i | −0.0716843 | − | 0.0523794i | ||||
\(103\) | 13.3619i | 1.31658i | 0.752763 | + | 0.658292i | \(0.228721\pi\) | ||||
−0.752763 | + | 0.658292i | \(0.771279\pi\) | |||||||
\(104\) | 2.49898 | + | 2.59905i | 0.245046 | + | 0.254858i | ||||
\(105\) | −1.58073 | + | 1.27297i | −0.154264 | + | 0.124229i | ||||
\(106\) | 2.46583 | + | 9.20261i | 0.239503 | + | 0.893837i | ||||
\(107\) | 1.29666 | + | 0.748627i | 0.125353 | + | 0.0723725i | 0.561365 | − | 0.827568i | \(-0.310276\pi\) |
−0.436012 | + | 0.899941i | \(0.643610\pi\) | |||||||
\(108\) | 2.86540 | − | 4.33468i | 0.275723 | − | 0.417105i | ||||
\(109\) | −9.35366 | + | 9.35366i | −0.895918 | + | 0.895918i | −0.995072 | − | 0.0991537i | \(-0.968386\pi\) |
0.0991537 | + | 0.995072i | \(0.468386\pi\) | |||||||
\(110\) | −1.46697 | + | 5.47480i | −0.139870 | + | 0.522001i | ||||
\(111\) | −16.1760 | + | 7.14949i | −1.53536 | + | 0.678600i | ||||
\(112\) | −0.707107 | − | 0.707107i | −0.0668153 | − | 0.0668153i | ||||
\(113\) | −14.8503 | + | 8.57383i | −1.39700 | + | 0.806558i | −0.994077 | − | 0.108676i | \(-0.965339\pi\) |
−0.402922 | + | 0.915234i | \(0.632005\pi\) | |||||||
\(114\) | −9.74979 | + | 1.51711i | −0.913151 | + | 0.142091i | ||||
\(115\) | −5.75124 | + | 1.54104i | −0.536306 | + | 0.143703i | ||||
\(116\) | −2.12122 | −0.196951 | ||||||||
\(117\) | −3.08379 | − | 10.3678i | −0.285096 | − | 0.958499i | ||||
\(118\) | 1.59173 | 0.146530 | ||||||||
\(119\) | 0.500044 | − | 0.133986i | 0.0458390 | − | 0.0122825i | ||||
\(120\) | 2.00544 | − | 0.312056i | 0.183071 | − | 0.0284867i | ||||
\(121\) | −10.7361 | + | 6.19850i | −0.976010 | + | 0.563500i | ||||
\(122\) | −8.34905 | − | 8.34905i | −0.755888 | − | 0.755888i | ||||
\(123\) | 10.6059 | − | 4.68762i | 0.956303 | − | 0.422669i | ||||
\(124\) | 1.50465 | − | 5.61541i | 0.135121 | − | 0.504279i | ||||
\(125\) | −7.14803 | + | 7.14803i | −0.639339 | + | 0.639339i | ||||
\(126\) | 0.911557 | + | 2.85816i | 0.0812079 | + | 0.254625i | ||||
\(127\) | 3.84030 | + | 2.21720i | 0.340771 | + | 0.196744i | 0.660613 | − | 0.750727i | \(-0.270296\pi\) |
−0.319842 | + | 0.947471i | \(0.603630\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | −0.395476 | + | 0.318478i | −0.0348197 | + | 0.0280404i | ||||
\(130\) | 2.18385 | − | 3.61670i | 0.191536 | − | 0.317206i | ||||
\(131\) | 14.2928i | 1.24877i | 0.781118 | + | 0.624384i | \(0.214650\pi\) | ||||
−0.781118 | + | 0.624384i | \(0.785350\pi\) | |||||||
\(132\) | 6.76456 | + | 4.94284i | 0.588780 | + | 0.430219i | ||||
\(133\) | 2.84839 | − | 4.93356i | 0.246987 | − | 0.427794i | ||||
\(134\) | −5.77994 | − | 10.0112i | −0.499311 | − | 0.864832i | ||||
\(135\) | −5.77521 | − | 1.92858i | −0.497051 | − | 0.165986i | ||||
\(136\) | −0.500044 | − | 0.133986i | −0.0428784 | − | 0.0114892i | ||||
\(137\) | −9.27529 | − | 2.48531i | −0.792441 | − | 0.212334i | −0.160178 | − | 0.987088i | \(-0.551207\pi\) |
−0.632263 | + | 0.774754i | \(0.717874\pi\) | |||||||
\(138\) | −0.943701 | + | 8.75030i | −0.0803332 | + | 0.744875i | ||||
\(139\) | −7.81211 | − | 13.5310i | −0.662615 | − | 1.14768i | −0.979926 | − | 0.199361i | \(-0.936113\pi\) |
0.317312 | − | 0.948321i | \(-0.397220\pi\) | |||||||
\(140\) | −0.585888 | + | 1.01479i | −0.0495165 | + | 0.0857652i | ||||
\(141\) | −12.3485 | + | 16.8996i | −1.03993 | + | 1.42321i | ||||
\(142\) | − | 1.88283i | − | 0.158003i | ||||||
\(143\) | 16.9313 | − | 4.18238i | 1.41587 | − | 0.349748i | ||||
\(144\) | 0.639647 | − | 2.93102i | 0.0533039 | − | 0.244251i | ||||
\(145\) | 0.643320 | + | 2.40090i | 0.0534248 | + | 0.199384i | ||||
\(146\) | −5.73654 | − | 3.31199i | −0.474759 | − | 0.274102i | ||||
\(147\) | −1.61532 | − | 0.625096i | −0.133229 | − | 0.0515570i | ||||
\(148\) | −7.22008 | + | 7.22008i | −0.593487 | + | 0.593487i | ||||
\(149\) | −1.69498 | + | 6.32574i | −0.138858 | + | 0.518225i | 0.861094 | + | 0.508445i | \(0.169780\pi\) |
−0.999952 | + | 0.00977946i | \(0.996887\pi\) | |||||||
\(150\) | 2.53956 | + | 5.74585i | 0.207354 | + | 0.469147i | ||||
\(151\) | −15.6948 | − | 15.6948i | −1.27722 | − | 1.27722i | −0.942215 | − | 0.335009i | \(-0.891260\pi\) |
−0.335009 | − | 0.942215i | \(-0.608740\pi\) | |||||||
\(152\) | −4.93356 | + | 2.84839i | −0.400164 | + | 0.231035i | ||||
\(153\) | 1.14849 | + | 1.04544i | 0.0928496 | + | 0.0845189i | ||||
\(154\) | −4.67223 | + | 1.25192i | −0.376499 | + | 0.100883i | ||||
\(155\) | −6.81212 | −0.547163 | ||||||||
\(156\) | −3.82071 | − | 4.93985i | −0.305902 | − | 0.395505i | ||||
\(157\) | −16.3039 | −1.30119 | −0.650597 | − | 0.759423i | \(-0.725481\pi\) | ||||
−0.650597 | + | 0.759423i | \(0.725481\pi\) | |||||||
\(158\) | −2.44659 | + | 0.655561i | −0.194640 | + | 0.0521537i | ||||
\(159\) | −2.53721 | − | 16.3055i | −0.201214 | − | 1.29311i | ||||
\(160\) | 1.01479 | − | 0.585888i | 0.0802260 | − | 0.0463185i | ||||
\(161\) | −3.59301 | − | 3.59301i | −0.283169 | − | 0.283169i | ||||
\(162\) | −5.73945 | + | 6.93244i | −0.450934 | + | 0.544664i | ||||
\(163\) | −0.906537 | + | 3.38324i | −0.0710055 | + | 0.264996i | −0.992298 | − | 0.123874i | \(-0.960468\pi\) |
0.921292 | + | 0.388870i | \(0.127135\pi\) | |||||||
\(164\) | 4.73391 | − | 4.73391i | 0.369656 | − | 0.369656i | ||||
\(165\) | 3.54300 | − | 9.15551i | 0.275822 | − | 0.712756i | ||||
\(166\) | 14.3558 | + | 8.28832i | 1.11423 | + | 0.643298i | ||||
\(167\) | −3.88956 | − | 14.5160i | −0.300983 | − | 1.12328i | −0.936348 | − | 0.351072i | \(-0.885817\pi\) |
0.635365 | − | 0.772212i | \(-0.280850\pi\) | |||||||
\(168\) | 1.08636 | + | 1.34901i | 0.0838144 | + | 0.104078i | ||||
\(169\) | −12.9900 | − | 0.510162i | −0.999230 | − | 0.0392432i | ||||
\(170\) | 0.606609i | 0.0465248i | ||||||||
\(171\) | 17.0715 | − | 0.801827i | 1.30549 | − | 0.0613172i | ||||
\(172\) | −0.146580 | + | 0.253885i | −0.0111766 | + | 0.0193585i | ||||
\(173\) | 2.14061 | + | 3.70764i | 0.162748 | + | 0.281887i | 0.935853 | − | 0.352390i | \(-0.114631\pi\) |
−0.773106 | + | 0.634277i | \(0.781298\pi\) | |||||||
\(174\) | 3.65289 | + | 0.393956i | 0.276925 | + | 0.0298657i | ||||
\(175\) | −3.50336 | − | 0.938722i | −0.264829 | − | 0.0709607i | ||||
\(176\) | 4.67223 | + | 1.25192i | 0.352182 | + | 0.0943669i | ||||
\(177\) | −2.74106 | − | 0.295617i | −0.206031 | − | 0.0222200i | ||||
\(178\) | −1.38673 | − | 2.40190i | −0.103940 | − | 0.180030i | ||||
\(179\) | −5.33092 | + | 9.23342i | −0.398452 | + | 0.690138i | −0.993535 | − | 0.113526i | \(-0.963786\pi\) |
0.595084 | + | 0.803664i | \(0.297119\pi\) | |||||||
\(180\) | −3.51145 | + | 0.164928i | −0.261728 | + | 0.0122930i | ||||
\(181\) | 13.7234i | 1.02005i | 0.860160 | + | 0.510025i | \(0.170364\pi\) | ||||
−0.860160 | + | 0.510025i | \(0.829636\pi\) | |||||||
\(182\) | 3.60486 | + | 0.0707604i | 0.267210 | + | 0.00524511i | ||||
\(183\) | 12.8270 | + | 15.9282i | 0.948200 | + | 1.17745i | ||||
\(184\) | 1.31513 | + | 4.90814i | 0.0969529 | + | 0.361833i | ||||
\(185\) | 10.3617 | + | 5.98235i | 0.761809 | + | 0.439831i | ||||
\(186\) | −3.63400 | + | 9.39066i | −0.266458 | + | 0.688557i | ||||
\(187\) | −1.77064 | + | 1.77064i | −0.129482 | + | 0.129482i | ||||
\(188\) | −3.12762 | + | 11.6724i | −0.228105 | + | 0.851299i | ||||
\(189\) | −1.03894 | − | 5.09123i | −0.0755718 | − | 0.370332i | ||||
\(190\) | 4.72018 | + | 4.72018i | 0.342438 | + | 0.342438i | ||||
\(191\) | 15.7595 | − | 9.09873i | 1.14031 | − | 0.658361i | 0.193806 | − | 0.981040i | \(-0.437917\pi\) |
0.946509 | + | 0.322679i | \(0.104583\pi\) | |||||||
\(192\) | −0.266310 | − | 1.71146i | −0.0192193 | − | 0.123514i | ||||
\(193\) | −0.834130 | + | 0.223505i | −0.0600420 | + | 0.0160882i | −0.288715 | − | 0.957415i | \(-0.593228\pi\) |
0.228673 | + | 0.973503i | \(0.426561\pi\) | |||||||
\(194\) | −4.09171 | −0.293768 | ||||||||
\(195\) | −4.43243 | + | 5.82261i | −0.317413 | + | 0.416966i | ||||
\(196\) | −1.00000 | −0.0714286 | ||||||||
\(197\) | 20.4357 | − | 5.47572i | 1.45598 | − | 0.390129i | 0.557882 | − | 0.829920i | \(-0.311614\pi\) |
0.898100 | + | 0.439791i | \(0.144948\pi\) | |||||||
\(198\) | −10.7310 | − | 9.76821i | −0.762621 | − | 0.694196i | ||||
\(199\) | 1.32932 | − | 0.767481i | 0.0942327 | − | 0.0544053i | −0.452143 | − | 0.891945i | \(-0.649340\pi\) |
0.546376 | + | 0.837540i | \(0.316007\pi\) | |||||||
\(200\) | 2.56464 | + | 2.56464i | 0.181347 | + | 0.181347i | ||||
\(201\) | 8.09416 | + | 18.3133i | 0.570918 | + | 1.29172i | ||||
\(202\) | 0.940885 | − | 3.51143i | 0.0662004 | − | 0.247063i | ||||
\(203\) | −1.49993 | + | 1.49993i | −0.105275 | + | 0.105275i | ||||
\(204\) | 0.836224 | + | 0.323602i | 0.0585474 | + | 0.0226567i | ||||
\(205\) | −6.79375 | − | 3.92237i | −0.474496 | − | 0.273951i | ||||
\(206\) | −3.45830 | − | 12.9066i | −0.240951 | − | 0.899243i | ||||
\(207\) | 3.25023 | − | 14.8933i | 0.225907 | − | 1.03516i | ||||
\(208\) | −3.08652 | − | 1.86371i | −0.214011 | − | 0.129225i | ||||
\(209\) | 27.5556i | 1.90606i | ||||||||
\(210\) | 1.19740 | − | 1.63872i | 0.0826287 | − | 0.113082i | ||||
\(211\) | 5.09230 | − | 8.82012i | 0.350568 | − | 0.607202i | −0.635781 | − | 0.771870i | \(-0.719322\pi\) |
0.986349 | + | 0.164668i | \(0.0526551\pi\) | |||||||
\(212\) | −4.76362 | − | 8.25084i | −0.327167 | − | 0.566670i | ||||
\(213\) | −0.349681 | + | 3.24235i | −0.0239597 | + | 0.222162i | ||||
\(214\) | −1.44624 | − | 0.387518i | −0.0988626 | − | 0.0264902i | ||||
\(215\) | 0.331813 | + | 0.0889091i | 0.0226295 | + | 0.00606355i | ||||
\(216\) | −1.64587 | + | 4.92860i | −0.111987 | + | 0.335349i | ||||
\(217\) | −2.90675 | − | 5.03464i | −0.197323 | − | 0.341774i | ||||
\(218\) | 6.61404 | − | 11.4559i | 0.447959 | − | 0.775888i | ||||
\(219\) | 9.26359 | + | 6.76886i | 0.625975 | + | 0.457397i | ||||
\(220\) | − | 5.66793i | − | 0.382132i | ||||||
\(221\) | 1.63447 | − | 0.901364i | 0.109946 | − | 0.0606323i | ||||
\(222\) | 13.7744 | − | 11.0925i | 0.924475 | − | 0.744482i | ||||
\(223\) | 0.508845 | + | 1.89903i | 0.0340748 | + | 0.127169i | 0.980868 | − | 0.194673i | \(-0.0623647\pi\) |
−0.946793 | + | 0.321842i | \(0.895698\pi\) | |||||||
\(224\) | 0.866025 | + | 0.500000i | 0.0578638 | + | 0.0334077i | ||||
\(225\) | −3.30617 | − | 10.3664i | −0.220411 | − | 0.691092i | ||||
\(226\) | 12.1252 | − | 12.1252i | 0.806558 | − | 0.806558i | ||||
\(227\) | 1.32281 | − | 4.93680i | 0.0877981 | − | 0.327667i | −0.908031 | − | 0.418903i | \(-0.862415\pi\) |
0.995829 | + | 0.0912354i | \(0.0290816\pi\) | |||||||
\(228\) | 9.02491 | − | 3.98885i | 0.597689 | − | 0.264168i | ||||
\(229\) | 2.40035 | + | 2.40035i | 0.158620 | + | 0.158620i | 0.781955 | − | 0.623335i | \(-0.214223\pi\) |
−0.623335 | + | 0.781955i | \(0.714223\pi\) | |||||||
\(230\) | 5.15642 | − | 2.97706i | 0.340004 | − | 0.196302i | ||||
\(231\) | 8.27838 | − | 1.28816i | 0.544678 | − | 0.0847544i | ||||
\(232\) | 2.04895 | − | 0.549013i | 0.134520 | − | 0.0360445i | ||||
\(233\) | 8.54899 | 0.560063 | 0.280032 | − | 0.959991i | \(-0.409655\pi\) | ||||
0.280032 | + | 0.959991i | \(0.409655\pi\) | |||||||
\(234\) | 5.66208 | + | 9.21633i | 0.370142 | + | 0.602491i | ||||
\(235\) | 14.1600 | 0.923693 | ||||||||
\(236\) | −1.53749 | + | 0.411970i | −0.100082 | + | 0.0268169i | ||||
\(237\) | 4.33494 | − | 0.674536i | 0.281584 | − | 0.0438158i | ||||
\(238\) | −0.448327 | + | 0.258842i | −0.0290607 | + | 0.0167782i | ||||
\(239\) | −20.0754 | − | 20.0754i | −1.29857 | − | 1.29857i | −0.929338 | − | 0.369230i | \(-0.879622\pi\) |
−0.369230 | − | 0.929338i | \(-0.620378\pi\) | |||||||
\(240\) | −1.85634 | + | 0.820469i | −0.119826 | + | 0.0529611i | ||||
\(241\) | −5.75665 | + | 21.4841i | −0.370818 | + | 1.38391i | 0.488542 | + | 0.872541i | \(0.337529\pi\) |
−0.859360 | + | 0.511371i | \(0.829138\pi\) | |||||||
\(242\) | 8.76600 | − | 8.76600i | 0.563500 | − | 0.563500i | ||||
\(243\) | 11.1712 | − | 10.8722i | 0.716633 | − | 0.697451i | ||||
\(244\) | 10.2255 | + | 5.90367i | 0.654618 | + | 0.377944i | ||||
\(245\) | 0.303278 | + | 1.13185i | 0.0193757 | + | 0.0723111i | ||||
\(246\) | −9.03128 | + | 7.27291i | −0.575814 | + | 0.463704i | ||||
\(247\) | 5.70450 | − | 19.7320i | 0.362969 | − | 1.25552i | ||||
\(248\) | 5.81351i | 0.369158i | ||||||||
\(249\) | −23.1823 | − | 16.9392i | −1.46912 | − | 1.07348i | ||||
\(250\) | 5.05442 | − | 8.75451i | 0.319670 | − | 0.553684i | ||||
\(251\) | 8.15438 | + | 14.1238i | 0.514700 | + | 0.891487i | 0.999854 | + | 0.0170582i | \(0.00543006\pi\) |
−0.485154 | + | 0.874429i | \(0.661237\pi\) | |||||||
\(252\) | −1.62024 | − | 2.52484i | −0.102066 | − | 0.159050i | ||||
\(253\) | 23.7409 | + | 6.36136i | 1.49258 | + | 0.399935i | ||||
\(254\) | −4.28330 | − | 1.14771i | −0.268758 | − | 0.0720135i | ||||
\(255\) | 0.112660 | − | 1.04462i | 0.00705504 | − | 0.0654166i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −1.49782 | + | 2.59430i | −0.0934315 | + | 0.161828i | −0.908953 | − | 0.416899i | \(-0.863117\pi\) |
0.815521 | + | 0.578727i | \(0.196450\pi\) | |||||||
\(258\) | 0.299573 | − | 0.409983i | 0.0186506 | − | 0.0255244i | ||||
\(259\) | 10.2107i | 0.634465i | ||||||||
\(260\) | −1.17336 | + | 4.05869i | −0.0727689 | + | 0.251709i | ||||
\(261\) | −6.21734 | − | 1.35684i | −0.384844 | − | 0.0839860i | ||||
\(262\) | −3.69925 | − | 13.8058i | −0.228540 | − | 0.852924i | ||||
\(263\) | 3.52497 | + | 2.03514i | 0.217359 | + | 0.125492i | 0.604727 | − | 0.796433i | \(-0.293282\pi\) |
−0.387368 | + | 0.921925i | \(0.626616\pi\) | |||||||
\(264\) | −7.81337 | − | 3.02362i | −0.480880 | − | 0.186091i | ||||
\(265\) | −7.89399 | + | 7.89399i | −0.484924 | + | 0.484924i | ||||
\(266\) | −1.47444 | + | 5.50267i | −0.0904034 | + | 0.337390i | ||||
\(267\) | 1.94197 | + | 4.39377i | 0.118846 | + | 0.268894i | ||||
\(268\) | 8.17407 | + | 8.17407i | 0.499311 | + | 0.499311i | ||||
\(269\) | −2.68484 | + | 1.55010i | −0.163698 | + | 0.0945110i | −0.579611 | − | 0.814893i | \(-0.696795\pi\) |
0.415913 | + | 0.909404i | \(0.363462\pi\) | |||||||
\(270\) | 6.07758 | + | 0.368134i | 0.369870 | + | 0.0224039i | ||||
\(271\) | 14.8204 | − | 3.97111i | 0.900275 | − | 0.241228i | 0.221140 | − | 0.975242i | \(-0.429022\pi\) |
0.679134 | + | 0.734014i | \(0.262355\pi\) | |||||||
\(272\) | 0.517684 | 0.0313892 | ||||||||
\(273\) | −6.19466 | − | 0.791352i | −0.374918 | − | 0.0478948i | ||||
\(274\) | 9.60248 | 0.580107 | ||||||||
\(275\) | 16.9459 | − | 4.54064i | 1.02188 | − | 0.273811i | ||||
\(276\) | −1.35320 | − | 8.69639i | −0.0814530 | − | 0.523461i | ||||
\(277\) | −1.05278 | + | 0.607822i | −0.0632553 | + | 0.0365205i | −0.531294 | − | 0.847187i | \(-0.678294\pi\) |
0.468039 | + | 0.883708i | \(0.344961\pi\) | |||||||
\(278\) | 11.0480 | + | 11.0480i | 0.662615 | + | 0.662615i | ||||
\(279\) | 8.00202 | − | 15.4964i | 0.479069 | − | 0.927747i | ||||
\(280\) | 0.303278 | − | 1.13185i | 0.0181243 | − | 0.0676408i | ||||
\(281\) | 1.81570 | − | 1.81570i | 0.108316 | − | 0.108316i | −0.650872 | − | 0.759188i | \(-0.725597\pi\) |
0.759188 | + | 0.650872i | \(0.225597\pi\) | |||||||
\(282\) | 7.55378 | − | 19.5198i | 0.449821 | − | 1.16239i | ||||
\(283\) | −8.30363 | − | 4.79410i | −0.493600 | − | 0.284980i | 0.232467 | − | 0.972604i | \(-0.425320\pi\) |
−0.726067 | + | 0.687624i | \(0.758654\pi\) | |||||||
\(284\) | 0.487312 | + | 1.81867i | 0.0289166 | + | 0.107918i | ||||
\(285\) | −7.25182 | − | 9.00510i | −0.429561 | − | 0.533416i | ||||
\(286\) | −15.2719 | + | 8.42201i | −0.903046 | + | 0.498004i | ||||
\(287\) | − | 6.69476i | − | 0.395179i | ||||||
\(288\) | 0.140751 | + | 2.99670i | 0.00829382 | + | 0.176582i | ||||
\(289\) | 8.36600 | − | 14.4903i | 0.492118 | − | 0.852373i | ||||
\(290\) | −1.24280 | − | 2.15259i | −0.0729797 | − | 0.126405i | ||||
\(291\) | 7.04619 | + | 0.759917i | 0.413055 | + | 0.0445471i | ||||
\(292\) | 6.39828 | + | 1.71441i | 0.374431 | + | 0.100328i | ||||
\(293\) | 20.3586 | + | 5.45507i | 1.18936 | + | 0.318689i | 0.798634 | − | 0.601817i | \(-0.205556\pi\) |
0.390729 | + | 0.920506i | \(0.372223\pi\) | |||||||
\(294\) | 1.72206 | + | 0.185721i | 0.100433 | + | 0.0108315i | ||||
\(295\) | 0.932574 | + | 1.61527i | 0.0542966 | + | 0.0940444i | ||||
\(296\) | 5.10537 | − | 8.84276i | 0.296744 | − | 0.513975i | ||||
\(297\) | 16.6654 | + | 18.8145i | 0.967023 | + | 1.09173i | ||||
\(298\) | − | 6.54889i | − | 0.379367i | ||||||
\(299\) | −15.6835 | − | 9.47003i | −0.906998 | − | 0.547666i | ||||
\(300\) | −3.94016 | − | 4.89278i | −0.227485 | − | 0.282485i | ||||
\(301\) | 0.0758756 | + | 0.283171i | 0.00437339 | + | 0.0163217i | ||||
\(302\) | 19.2221 | + | 11.0979i | 1.10611 | + | 0.638612i | ||||
\(303\) | −2.27241 | + | 5.87217i | −0.130547 | + | 0.337347i | ||||
\(304\) | 4.02823 | − | 4.02823i | 0.231035 | − | 0.231035i | ||||
\(305\) | 3.58090 | − | 13.3641i | 0.205042 | − | 0.765227i | ||||
\(306\) | −1.37993 | − | 0.712568i | −0.0788855 | − | 0.0407348i | ||||
\(307\) | −1.05726 | − | 1.05726i | −0.0603413 | − | 0.0603413i | 0.676292 | − | 0.736633i | \(-0.263586\pi\) |
−0.736633 | + | 0.676292i | \(0.763586\pi\) | |||||||
\(308\) | 4.18900 | − | 2.41852i | 0.238691 | − | 0.137808i | ||||
\(309\) | 3.55840 | + | 22.8682i | 0.202430 | + | 1.30093i | ||||
\(310\) | 6.58000 | − | 1.76311i | 0.373719 | − | 0.100138i | ||||
\(311\) | 6.32744 | 0.358796 | 0.179398 | − | 0.983777i | \(-0.442585\pi\) | ||||
0.179398 | + | 0.983777i | \(0.442585\pi\) | |||||||
\(312\) | 4.96905 | + | 3.78266i | 0.281317 | + | 0.214151i | ||||
\(313\) | −26.7529 | −1.51216 | −0.756081 | − | 0.654478i | \(-0.772888\pi\) | ||||
−0.756081 | + | 0.654478i | \(0.772888\pi\) | |||||||
\(314\) | 15.7484 | − | 4.21977i | 0.888733 | − | 0.238135i | ||||
\(315\) | −2.36635 | + | 2.59960i | −0.133329 | + | 0.146471i | ||||
\(316\) | 2.19355 | − | 1.26645i | 0.123397 | − | 0.0712432i | ||||
\(317\) | −13.6159 | − | 13.6159i | −0.764748 | − | 0.764748i | 0.212429 | − | 0.977177i | \(-0.431863\pi\) |
−0.977177 | + | 0.212429i | \(0.931863\pi\) | |||||||
\(318\) | 6.67092 | + | 15.0932i | 0.374086 | + | 0.846384i | ||||
\(319\) | 2.65560 | − | 9.91084i | 0.148685 | − | 0.554900i | ||||
\(320\) | −0.828570 | + | 0.828570i | −0.0463185 | + | 0.0463185i | ||||
\(321\) | 2.41854 | + | 0.935927i | 0.134990 | + | 0.0522383i | ||||
\(322\) | 4.40052 | + | 2.54064i | 0.245231 | + | 0.141584i | ||||
\(323\) | 0.763291 | + | 2.84864i | 0.0424707 | + | 0.158503i | ||||
\(324\) | 3.74963 | − | 8.18170i | 0.208313 | − | 0.454539i | ||||
\(325\) | −13.0746 | − | 0.256644i | −0.725249 | − | 0.0142360i | ||||
\(326\) | − | 3.50259i | − | 0.193991i | ||||||
\(327\) | −13.5174 | + | 18.4994i | −0.747514 | + | 1.02302i | ||||
\(328\) | −3.34738 | + | 5.79783i | −0.184828 | + | 0.320132i | ||||
\(329\) | 6.04209 | + | 10.4652i | 0.333111 | + | 0.576966i | ||||
\(330\) | −1.05265 | + | 9.76054i | −0.0579467 | + | 0.537300i | ||||
\(331\) | −9.03418 | − | 2.42070i | −0.496564 | − | 0.133054i | 0.00184113 | − | 0.999998i | \(-0.499414\pi\) |
−0.498405 | + | 0.866945i | \(0.666081\pi\) | |||||||
\(332\) | −16.0118 | − | 4.29035i | −0.878762 | − | 0.235464i | ||||
\(333\) | −25.7805 | + | 16.5439i | −1.41276 | + | 0.906598i | ||||
\(334\) | 7.51405 | + | 13.0147i | 0.411151 | + | 0.712134i | ||||
\(335\) | 6.77279 | − | 11.7308i | 0.370037 | − | 0.640923i | ||||
\(336\) | −1.39849 | − | 1.02187i | −0.0762940 | − | 0.0557477i | ||||
\(337\) | 4.47748i | 0.243904i | 0.992536 | + | 0.121952i | \(0.0389154\pi\) | ||||
−0.992536 | + | 0.121952i | \(0.961085\pi\) | |||||||
\(338\) | 12.6794 | − | 2.86928i | 0.689669 | − | 0.156068i | ||||
\(339\) | −23.1323 | + | 18.6285i | −1.25638 | + | 1.01176i | ||||
\(340\) | −0.157002 | − | 0.585939i | −0.00851462 | − | 0.0317770i | ||||
\(341\) | 24.3528 | + | 14.0601i | 1.31878 | + | 0.761396i | ||||
\(342\) | −16.2823 | + | 5.19294i | −0.880446 | + | 0.280802i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | 0.0758756 | − | 0.283171i | 0.00409094 | − | 0.0152676i | ||||
\(345\) | −9.43259 | + | 4.16904i | −0.507834 | + | 0.224453i | ||||
\(346\) | −3.02728 | − | 3.02728i | −0.162748 | − | 0.162748i | ||||
\(347\) | 19.0489 | − | 10.9979i | 1.02260 | − | 0.590398i | 0.107743 | − | 0.994179i | \(-0.465637\pi\) |
0.914856 | + | 0.403781i | \(0.132304\pi\) | |||||||
\(348\) | −3.63038 | + | 0.564904i | −0.194609 | + | 0.0302821i | ||||
\(349\) | 34.1495 | − | 9.15032i | 1.82798 | − | 0.489805i | 0.830263 | − | 0.557371i | \(-0.188190\pi\) |
0.997715 | + | 0.0675659i | \(0.0215233\pi\) | |||||||
\(350\) | 3.62694 | 0.193868 | ||||||||
\(351\) | −8.03881 | − | 16.9227i | −0.429080 | − | 0.903267i | ||||
\(352\) | −4.83704 | −0.257815 | ||||||||
\(353\) | −2.94177 | + | 0.788246i | −0.156575 | + | 0.0419541i | −0.336255 | − | 0.941771i | \(-0.609160\pi\) |
0.179680 | + | 0.983725i | \(0.442494\pi\) | |||||||
\(354\) | 2.72417 | − | 0.423894i | 0.144788 | − | 0.0225297i | ||||
\(355\) | 1.91067 | − | 1.10313i | 0.101408 | − | 0.0585478i | ||||
\(356\) | 1.96114 | + | 1.96114i | 0.103940 | + | 0.103940i | ||||
\(357\) | 0.820121 | − | 0.362479i | 0.0434054 | − | 0.0191844i | ||||
\(358\) | 2.75949 | − | 10.2985i | 0.145843 | − | 0.544295i | ||||
\(359\) | −8.69884 | + | 8.69884i | −0.459107 | + | 0.459107i | −0.898362 | − | 0.439255i | \(-0.855242\pi\) |
0.439255 | + | 0.898362i | \(0.355242\pi\) | |||||||
\(360\) | 3.34912 | − | 1.06814i | 0.176514 | − | 0.0562959i | ||||
\(361\) | 11.6509 | + | 6.72666i | 0.613206 | + | 0.354035i | ||||
\(362\) | −3.55187 | − | 13.2558i | −0.186682 | − | 0.696707i | ||||
\(363\) | −16.7236 | + | 13.4676i | −0.877764 | + | 0.706865i | ||||
\(364\) | −3.50034 | + | 0.864656i | −0.183468 | + | 0.0453203i | ||||
\(365\) | − | 7.76182i | − | 0.406272i | ||||||
\(366\) | −16.5125 | − | 12.0656i | −0.863120 | − | 0.630678i | ||||
\(367\) | 7.85537 | − | 13.6059i | 0.410047 | − | 0.710222i | −0.584847 | − | 0.811143i | \(-0.698846\pi\) |
0.994894 | + | 0.100921i | \(0.0321789\pi\) | |||||||
\(368\) | −2.54064 | − | 4.40052i | −0.132440 | − | 0.229393i | ||||
\(369\) | 16.9032 | − | 10.8471i | 0.879945 | − | 0.564679i | ||||
\(370\) | −11.5570 | − | 3.09669i | −0.600820 | − | 0.160989i | ||||
\(371\) | −9.20261 | − | 2.46583i | −0.477776 | − | 0.128020i | ||||
\(372\) | 1.07969 | − | 10.0112i | 0.0559793 | − | 0.519058i | ||||
\(373\) | −1.05627 | − | 1.82952i | −0.0546918 | − | 0.0947290i | 0.837383 | − | 0.546616i | \(-0.184084\pi\) |
−0.892075 | + | 0.451887i | \(0.850751\pi\) | |||||||
\(374\) | 1.25203 | − | 2.16858i | 0.0647409 | − | 0.112135i | ||||
\(375\) | −10.3299 | + | 14.1371i | −0.533435 | + | 0.730038i | ||||
\(376\) | − | 12.0842i | − | 0.623194i | ||||||
\(377\) | −3.95334 | + | 6.54720i | −0.203608 | + | 0.337198i | ||||
\(378\) | 2.32125 | + | 4.64885i | 0.119392 | + | 0.239111i | ||||
\(379\) | −8.89975 | − | 33.2143i | −0.457150 | − | 1.70611i | −0.681690 | − | 0.731641i | \(-0.738755\pi\) |
0.224540 | − | 0.974465i | \(-0.427912\pi\) | |||||||
\(380\) | −5.78102 | − | 3.33767i | −0.296560 | − | 0.171219i | ||||
\(381\) | 7.16296 | + | 2.77192i | 0.366970 | + | 0.142010i | ||||
\(382\) | −12.8675 | + | 12.8675i | −0.658361 | + | 0.658361i | ||||
\(383\) | −7.20127 | + | 26.8755i | −0.367968 | + | 1.37327i | 0.495385 | + | 0.868673i | \(0.335027\pi\) |
−0.863353 | + | 0.504600i | \(0.831640\pi\) | |||||||
\(384\) | 0.700193 | + | 1.58421i | 0.0357316 | + | 0.0808440i | ||||
\(385\) | −4.00783 | − | 4.00783i | −0.204258 | − | 0.204258i | ||||
\(386\) | 0.747861 | − | 0.431778i | 0.0380651 | − | 0.0219769i | ||||
\(387\) | −0.592026 | + | 0.650380i | −0.0300944 | + | 0.0330607i | ||||
\(388\) | 3.95229 | − | 1.05901i | 0.200647 | − | 0.0537632i | ||||
\(389\) | −16.0139 | −0.811938 | −0.405969 | − | 0.913887i | \(-0.633066\pi\) | ||||
−0.405969 | + | 0.913887i | \(0.633066\pi\) | |||||||
\(390\) | 2.77439 | − | 6.77141i | 0.140487 | − | 0.342884i | ||||
\(391\) | 2.63050 | 0.133030 | ||||||||
\(392\) | 0.965926 | − | 0.258819i | 0.0487866 | − | 0.0130723i | ||||
\(393\) | 3.80632 | + | 24.4615i | 0.192004 | + | 1.23392i | ||||
\(394\) | −18.3221 | + | 10.5783i | −0.923056 | + | 0.532926i | ||||
\(395\) | −2.09868 | − | 2.09868i | −0.105596 | − | 0.105596i | ||||
\(396\) | 12.8936 | + | 6.65797i | 0.647927 | + | 0.334576i | ||||
\(397\) | −3.61458 | + | 13.4898i | −0.181411 | + | 0.677034i | 0.813960 | + | 0.580921i | \(0.197308\pi\) |
−0.995370 | + | 0.0961128i | \(0.969359\pi\) | |||||||
\(398\) | −1.08538 | + | 1.08538i | −0.0544053 | + | 0.0544053i | ||||
\(399\) | 3.56103 | − | 9.20212i | 0.178275 | − | 0.460682i | ||||
\(400\) | −3.14102 | − | 1.81347i | −0.157051 | − | 0.0906736i | ||||
\(401\) | 6.69859 | + | 24.9995i | 0.334512 | + | 1.24841i | 0.904398 | + | 0.426691i | \(0.140321\pi\) |
−0.569886 | + | 0.821724i | \(0.693013\pi\) | |||||||
\(402\) | −12.5582 | − | 15.5944i | −0.626346 | − | 0.777777i | ||||
\(403\) | −14.5279 | − | 15.1096i | −0.723684 | − | 0.752663i | ||||
\(404\) | 3.63530i | 0.180863i | ||||||||
\(405\) | −10.3976 | − | 1.76268i | −0.516662 | − | 0.0875885i | ||||
\(406\) | 1.06061 | − | 1.83703i | 0.0526373 | − | 0.0911705i | ||||
\(407\) | −24.6949 | − | 42.7728i | −1.22408 | − | 2.12017i | ||||
\(408\) | −0.891485 | − | 0.0961447i | −0.0441351 | − | 0.00475987i | ||||
\(409\) | 7.28579 | + | 1.95222i | 0.360259 | + | 0.0965311i | 0.434408 | − | 0.900716i | \(-0.356958\pi\) |
−0.0741494 | + | 0.997247i | \(0.523624\pi\) | |||||||
\(410\) | 7.57745 | + | 2.03037i | 0.374223 | + | 0.100273i | ||||
\(411\) | −16.5361 | − | 1.78338i | −0.815666 | − | 0.0879678i | ||||
\(412\) | 6.68093 | + | 11.5717i | 0.329146 | + | 0.570097i | ||||
\(413\) | −0.795864 | + | 1.37848i | −0.0391619 | + | 0.0678304i | ||||
\(414\) | 0.715195 | + | 15.2271i | 0.0351499 | + | 0.748369i | ||||
\(415\) | 19.4241i | 0.953491i | ||||||||
\(416\) | 3.46371 | + | 1.00135i | 0.169822 | + | 0.0490955i | ||||
\(417\) | −16.9735 | − | 21.0772i | −0.831197 | − | 1.03216i | ||||
\(418\) | −7.13191 | − | 26.6166i | −0.348833 | − | 1.30186i | ||||
\(419\) | 14.3943 | + | 8.31054i | 0.703206 | + | 0.405996i | 0.808541 | − | 0.588440i | \(-0.200258\pi\) |
−0.105334 | + | 0.994437i | \(0.533591\pi\) | |||||||
\(420\) | −0.732472 | + | 1.89279i | −0.0357410 | + | 0.0923587i | ||||
\(421\) | −8.80780 | + | 8.80780i | −0.429266 | + | 0.429266i | −0.888378 | − | 0.459112i | \(-0.848168\pi\) |
0.459112 | + | 0.888378i | \(0.348168\pi\) | |||||||
\(422\) | −2.63597 | + | 9.83757i | −0.128317 | + | 0.478885i | ||||
\(423\) | −16.6333 | + | 32.2115i | −0.808740 | + | 1.56618i | ||||
\(424\) | 6.73678 | + | 6.73678i | 0.327167 | + | 0.327167i | ||||
\(425\) | 1.62606 | − | 0.938805i | 0.0788754 | − | 0.0455387i | ||||
\(426\) | −0.501417 | − | 3.22237i | −0.0242937 | − | 0.156125i | ||||
\(427\) | 11.4050 | − | 3.05596i | 0.551927 | − | 0.147888i | ||||
\(428\) | 1.49725 | 0.0723725 | ||||||||
\(429\) | 27.8633 | − | 11.6669i | 1.34525 | − | 0.563285i | ||||
\(430\) | −0.343518 | −0.0165659 | ||||||||
\(431\) | 18.4277 | − | 4.93767i | 0.887629 | − | 0.237839i | 0.213933 | − | 0.976848i | \(-0.431373\pi\) |
0.673696 | + | 0.739009i | \(0.264706\pi\) | |||||||
\(432\) | 0.314167 | − | 5.18665i | 0.0151154 | − | 0.249543i | ||||
\(433\) | −17.4264 | + | 10.0611i | −0.837458 | + | 0.483507i | −0.856399 | − | 0.516314i | \(-0.827304\pi\) |
0.0189413 | + | 0.999821i | \(0.493970\pi\) | |||||||
\(434\) | 4.11077 | + | 4.11077i | 0.197323 | + | 0.197323i | ||||
\(435\) | 1.74040 | + | 3.93772i | 0.0834458 | + | 0.188799i | ||||
\(436\) | −3.42368 | + | 12.7773i | −0.163964 | + | 0.611924i | ||||
\(437\) | 20.4686 | − | 20.4686i | 0.979146 | − | 0.979146i | ||||
\(438\) | −10.6998 | − | 4.14063i | −0.511258 | − | 0.197847i | ||||
\(439\) | 22.2565 | + | 12.8498i | 1.06225 | + | 0.613288i | 0.926052 | − | 0.377395i | \(-0.123180\pi\) |
0.136193 | + | 0.990682i | \(0.456513\pi\) | |||||||
\(440\) | 1.46697 | + | 5.47480i | 0.0699349 | + | 0.261001i | ||||
\(441\) | −2.93102 | − | 0.639647i | −0.139572 | − | 0.0304594i | ||||
\(442\) | −1.34549 | + | 1.29368i | −0.0639983 | + | 0.0615342i | ||||
\(443\) | − | 0.0356586i | − | 0.00169419i | −1.00000 | 0.000847095i | \(-0.999730\pi\) | |||
1.00000 | 0.000847095i | \(-0.000269639\pi\) | ||||||||
\(444\) | −10.4341 | + | 14.2796i | −0.495179 | + | 0.677681i | ||||
\(445\) | 1.62494 | − | 2.81448i | 0.0770296 | − | 0.133419i | ||||
\(446\) | −0.983012 | − | 1.70263i | −0.0465470 | − | 0.0806217i | ||||
\(447\) | −1.21627 | + | 11.2776i | −0.0575274 | + | 0.533413i | ||||
\(448\) | −0.965926 | − | 0.258819i | −0.0456357 | − | 0.0122281i | ||||
\(449\) | −26.1123 | − | 6.99677i | −1.23231 | − | 0.330198i | −0.416834 | − | 0.908982i | \(-0.636861\pi\) |
−0.815480 | + | 0.578785i | \(0.803527\pi\) | |||||||
\(450\) | 5.87653 | + | 9.15745i | 0.277022 | + | 0.431686i | ||||
\(451\) | 16.1914 | + | 28.0444i | 0.762424 | + | 1.32056i | ||||
\(452\) | −8.57383 | + | 14.8503i | −0.403279 | + | 0.698500i | ||||
\(453\) | −31.0406 | − | 22.6812i | −1.45842 | − | 1.06566i | ||||
\(454\) | 5.11095i | 0.239869i | ||||||||
\(455\) | 2.04023 | + | 3.69962i | 0.0956477 | + | 0.173441i | ||||
\(456\) | −7.68501 | + | 6.18875i | −0.359883 | + | 0.289815i | ||||
\(457\) | −8.04660 | − | 30.0303i | −0.376404 | − | 1.40476i | −0.851282 | − | 0.524708i | \(-0.824174\pi\) |
0.474878 | − | 0.880052i | \(-0.342492\pi\) | |||||||
\(458\) | −2.93982 | − | 1.69731i | −0.137369 | − | 0.0793099i | ||||
\(459\) | 2.24399 | + | 1.48337i | 0.104741 | + | 0.0692378i | ||||
\(460\) | −4.21020 | + | 4.21020i | −0.196302 | + | 0.196302i | ||||
\(461\) | −4.89115 | + | 18.2540i | −0.227804 | + | 0.850174i | 0.753458 | + | 0.657496i | \(0.228384\pi\) |
−0.981262 | + | 0.192679i | \(0.938282\pi\) | |||||||
\(462\) | −7.66290 | + | 3.38687i | −0.356511 | + | 0.157571i | ||||
\(463\) | 0.959289 | + | 0.959289i | 0.0445819 | + | 0.0445819i | 0.729046 | − | 0.684464i | \(-0.239964\pi\) |
−0.684464 | + | 0.729046i | \(0.739964\pi\) | |||||||
\(464\) | −1.83703 | + | 1.06061i | −0.0852822 | + | 0.0492377i | ||||
\(465\) | −11.6586 | + | 1.81414i | −0.540656 | + | 0.0841287i | ||||
\(466\) | −8.25769 | + | 2.21264i | −0.382530 | + | 0.102499i | ||||
\(467\) | 28.3194 | 1.31046 | 0.655232 | − | 0.755428i | \(-0.272571\pi\) | ||||
0.655232 | + | 0.755428i | \(0.272571\pi\) | |||||||
\(468\) | −7.85451 | − | 7.43684i | −0.363075 | − | 0.343768i | ||||
\(469\) | 11.5599 | 0.533786 | ||||||||
\(470\) | −13.6775 | + | 3.66487i | −0.630894 | + | 0.169048i | ||||
\(471\) | −27.9034 | + | 4.34191i | −1.28572 | + | 0.200064i | ||||
\(472\) | 1.37848 | − | 0.795864i | 0.0634496 | − | 0.0366326i | ||||
\(473\) | −1.00270 | − | 1.00270i | −0.0461042 | − | 0.0461042i | ||||
\(474\) | −4.01264 | + | 1.77352i | −0.184307 | + | 0.0814603i | ||||
\(475\) | 5.34769 | − | 19.9579i | 0.245369 | − | 0.915730i | ||||
\(476\) | 0.366058 | − | 0.366058i | 0.0167782 | − | 0.0167782i | ||||
\(477\) | −8.68463 | − | 27.2304i | −0.397642 | − | 1.24679i | ||||
\(478\) | 24.5872 | + | 14.1954i | 1.12459 | + | 0.649284i | ||||
\(479\) | −5.48863 | − | 20.4838i | −0.250782 | − | 0.935930i | −0.970389 | − | 0.241549i | \(-0.922345\pi\) |
0.719607 | − | 0.694382i | \(-0.244322\pi\) | |||||||
\(480\) | 1.58073 | − | 1.27297i | 0.0721503 | − | 0.0581028i | ||||
\(481\) | 8.82878 | + | 35.7410i | 0.402558 | + | 1.62965i | ||||
\(482\) | − | 22.2420i | − | 1.01309i | ||||||
\(483\) | −7.10613 | − | 5.19242i | −0.323340 | − | 0.236263i | ||||
\(484\) | −6.19850 | + | 10.7361i | −0.281750 | + | 0.488005i | ||||
\(485\) | −2.39728 | − | 4.15222i | −0.108855 | − | 0.188542i | ||||
\(486\) | −7.97662 | + | 13.3930i | −0.361827 | + | 0.607521i | ||||
\(487\) | 25.2906 | + | 6.77660i | 1.14603 | + | 0.307077i | 0.781372 | − | 0.624066i | \(-0.214520\pi\) |
0.364655 | + | 0.931143i | \(0.381187\pi\) | |||||||
\(488\) | −11.4050 | − | 3.05596i | −0.516281 | − | 0.138337i | ||||
\(489\) | −0.650505 | + | 6.03169i | −0.0294168 | + | 0.272762i | ||||
\(490\) | −0.585888 | − | 1.01479i | −0.0264677 | − | 0.0458434i | ||||
\(491\) | 5.30462 | − | 9.18788i | 0.239394 | − | 0.414643i | −0.721146 | − | 0.692783i | \(-0.756384\pi\) |
0.960541 | + | 0.278140i | \(0.0897178\pi\) | |||||||
\(492\) | 6.84118 | − | 9.36256i | 0.308424 | − | 0.422097i | ||||
\(493\) | − | 1.09812i | − | 0.0494570i | ||||||
\(494\) | −0.403106 | + | 20.5361i | −0.0181366 | + | 0.923962i | ||||
\(495\) | 3.62547 | − | 16.6128i | 0.162953 | − | 0.746689i | ||||
\(496\) | −1.50465 | − | 5.61541i | −0.0675606 | − | 0.252140i | ||||
\(497\) | 1.63058 | + | 0.941414i | 0.0731413 | + | 0.0422282i | ||||
\(498\) | 26.7766 | + | 10.3620i | 1.19989 | + | 0.464332i | ||||
\(499\) | −23.7488 | + | 23.7488i | −1.06314 | + | 1.06314i | −0.0652762 | + | 0.997867i | \(0.520793\pi\) |
−0.997867 | + | 0.0652762i | \(0.979207\pi\) | |||||||
\(500\) | −2.61636 | + | 9.76439i | −0.117007 | + | 0.436677i | ||||
\(501\) | −10.5226 | − | 23.8077i | −0.470114 | − | 1.06365i | ||||
\(502\) | −11.5320 | − | 11.5320i | −0.514700 | − | 0.514700i | ||||
\(503\) | −10.3733 | + | 5.98900i | −0.462520 | + | 0.267036i | −0.713103 | − | 0.701059i | \(-0.752711\pi\) |
0.250583 | + | 0.968095i | \(0.419378\pi\) | |||||||
\(504\) | 2.21851 | + | 2.01946i | 0.0988203 | + | 0.0899538i | ||||
\(505\) | 4.11461 | − | 1.10251i | 0.183098 | − | 0.0490609i | ||||
\(506\) | −24.5784 | −1.09264 | ||||||||
\(507\) | −22.3676 | + | 2.58625i | −0.993382 | + | 0.114859i | ||||
\(508\) | 4.43439 | 0.196744 | ||||||||
\(509\) | 3.78952 | − | 1.01540i | 0.167967 | − | 0.0450067i | −0.173855 | − | 0.984771i | \(-0.555622\pi\) |
0.341823 | + | 0.939764i | \(0.388956\pi\) | |||||||
\(510\) | 0.161546 | + | 1.03818i | 0.00715339 | + | 0.0459715i | ||||
\(511\) | 5.73654 | − | 3.31199i | 0.253770 | − | 0.146514i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 29.0036 | − | 5.91862i | 1.28054 | − | 0.261313i | ||||
\(514\) | 0.775329 | − | 2.89357i | 0.0341983 | − | 0.127630i | ||||
\(515\) | 11.0712 | − | 11.0712i | 0.487857 | − | 0.487857i | ||||
\(516\) | −0.183254 | + | 0.473548i | −0.00806729 | + | 0.0208468i | ||||
\(517\) | −50.6207 | − | 29.2259i | −2.22630 | − | 1.28535i | ||||
\(518\) | −2.64273 | − | 9.86282i | −0.116115 | − | 0.433347i | ||||
\(519\) | 4.65094 | + | 5.77540i | 0.204154 | + | 0.253512i | ||||
\(520\) | 0.0829152 | − | 4.22408i | 0.00363607 | − | 0.185238i | ||||
\(521\) | 0.453994i | 0.0198899i | 0.999951 | + | 0.00994493i | \(0.00316562\pi\) | ||||
−0.999951 | + | 0.00994493i | \(0.996834\pi\) | |||||||
\(522\) | 6.35667 | − | 0.298564i | 0.278224 | − | 0.0130678i | ||||
\(523\) | 3.82939 | − | 6.63269i | 0.167447 | − | 0.290027i | −0.770074 | − | 0.637954i | \(-0.779781\pi\) |
0.937522 | + | 0.347927i | \(0.113114\pi\) | |||||||
\(524\) | 7.14640 | + | 12.3779i | 0.312192 | + | 0.540732i | ||||
\(525\) | −6.24583 | − | 0.673600i | −0.272590 | − | 0.0293983i | ||||
\(526\) | −3.93159 | − | 1.05347i | −0.171425 | − | 0.0459333i | ||||
\(527\) | 2.90701 | + | 0.778931i | 0.126631 | + | 0.0339307i | ||||
\(528\) | 8.32970 | + | 0.898341i | 0.362504 | + | 0.0390953i | ||||
\(529\) | −1.40972 | − | 2.44171i | −0.0612922 | − | 0.106161i | ||||
\(530\) | 5.58190 | − | 9.66813i | 0.242462 | − | 0.419957i | ||||
\(531\) | −4.76993 | + | 0.224037i | −0.206997 | + | 0.00972238i | ||||
\(532\) | − | 5.69678i | − | 0.246987i | ||||||
\(533\) | −5.78866 | − | 23.4339i | −0.250735 | − | 1.01504i | ||||
\(534\) | −3.01298 | − | 3.74143i | −0.130385 | − | 0.161908i | ||||
\(535\) | −0.454083 | − | 1.69466i | −0.0196317 | − | 0.0732667i | ||||
\(536\) | −10.0112 | − | 5.77994i | −0.432416 | − | 0.249656i | ||||
\(537\) | −6.66467 | + | 17.2223i | −0.287602 | + | 0.743196i | ||||
\(538\) | 2.19217 | − | 2.19217i | 0.0945110 | − | 0.0945110i | ||||
\(539\) | 1.25192 | − | 4.67223i | 0.0539240 | − | 0.201247i | ||||
\(540\) | −5.96577 | + | 1.21740i | −0.256726 | + | 0.0523887i | ||||
\(541\) | 13.2203 | + | 13.2203i | 0.568384 | + | 0.568384i | 0.931676 | − | 0.363291i | \(-0.118347\pi\) |
−0.363291 | + | 0.931676i | \(0.618347\pi\) | |||||||
\(542\) | −13.2876 | + | 7.67160i | −0.570751 | + | 0.329523i | ||||
\(543\) | 3.65468 | + | 23.4869i | 0.156837 | + | 1.00792i | ||||
\(544\) | −0.500044 | + | 0.133986i | −0.0214392 | + | 0.00574462i | ||||
\(545\) | 15.5003 | 0.663961 | ||||||||
\(546\) | 6.18840 | − | 0.838908i | 0.264839 | − | 0.0359019i | ||||
\(547\) | −12.2763 | −0.524896 | −0.262448 | − | 0.964946i | \(-0.584530\pi\) | ||||
−0.262448 | + | 0.964946i | \(0.584530\pi\) | |||||||
\(548\) | −9.27529 | + | 2.48531i | −0.396221 | + | 0.106167i | ||||
\(549\) | 26.1947 | + | 23.8444i | 1.11796 | + | 1.01766i | ||||
\(550\) | −15.1933 | + | 8.77184i | −0.647843 | + | 0.374033i | ||||
\(551\) | −8.54479 | − | 8.54479i | −0.364020 | − | 0.364020i | ||||
\(552\) | 3.55788 | + | 8.04983i | 0.151433 | + | 0.342624i | ||||
\(553\) | 0.655561 | − | 2.44659i | 0.0278773 | − | 0.104040i | ||||
\(554\) | 0.859590 | − | 0.859590i | 0.0365205 | − | 0.0365205i | ||||
\(555\) | 19.3268 | + | 7.47908i | 0.820377 | + | 0.317469i | ||||
\(556\) | −13.5310 | − | 7.81211i | −0.573841 | − | 0.331307i | ||||
\(557\) | −7.35055 | − | 27.4326i | −0.311453 | − | 1.16236i | −0.927247 | − | 0.374450i | \(-0.877831\pi\) |
0.615794 | − | 0.787907i | \(-0.288835\pi\) | |||||||
\(558\) | −3.71859 | + | 17.0395i | −0.157421 | + | 0.721338i | ||||
\(559\) | 0.510436 | + | 0.925590i | 0.0215891 | + | 0.0391483i | ||||
\(560\) | 1.17178i | 0.0495165i | ||||||||
\(561\) | −2.55883 | + | 3.50190i | −0.108034 | + | 0.147851i | ||||
\(562\) | −1.28389 | + | 2.22377i | −0.0541578 | + | 0.0938041i | ||||
\(563\) | −4.58399 | − | 7.93971i | −0.193192 | − | 0.334619i | 0.753114 | − | 0.657890i | \(-0.228551\pi\) |
−0.946306 | + | 0.323271i | \(0.895217\pi\) | |||||||
\(564\) | −2.24429 | + | 20.8098i | −0.0945016 | + | 0.876249i | ||||
\(565\) | 19.4085 | + | 5.20050i | 0.816523 | + | 0.218787i | ||||
\(566\) | 9.26150 | + | 2.48161i | 0.389290 | + | 0.104310i | ||||
\(567\) | −3.13395 | − | 8.43673i | −0.131613 | − | 0.354309i | ||||
\(568\) | −0.941414 | − | 1.63058i | −0.0395008 | − | 0.0684175i | ||||
\(569\) | −9.38211 | + | 16.2503i | −0.393319 | + | 0.681248i | −0.992885 | − | 0.119077i | \(-0.962006\pi\) |
0.599566 | + | 0.800325i | \(0.295340\pi\) | |||||||
\(570\) | 9.33542 | + | 6.82135i | 0.391018 | + | 0.285715i | ||||
\(571\) | 40.4283i | 1.69187i | 0.533285 | + | 0.845936i | \(0.320957\pi\) | ||||
−0.533285 | + | 0.845936i | \(0.679043\pi\) | |||||||
\(572\) | 12.5717 | − | 12.0877i | 0.525651 | − | 0.505412i | ||||
\(573\) | 24.5485 | − | 19.7690i | 1.02553 | − | 0.825861i | ||||
\(574\) | 1.73273 | + | 6.46664i | 0.0723228 | + | 0.269912i | ||||
\(575\) | −15.9604 | − | 9.21476i | −0.665596 | − | 0.384282i | ||||
\(576\) | −0.911557 | − | 2.85816i | −0.0379815 | − | 0.119090i | ||||
\(577\) | 19.6981 | − | 19.6981i | 0.820041 | − | 0.820041i | −0.166073 | − | 0.986114i | \(-0.553109\pi\) |
0.986114 | + | 0.166073i | \(0.0531086\pi\) | |||||||
\(578\) | −4.33056 | + | 16.1619i | −0.180128 | + | 0.672245i | ||||
\(579\) | −1.36805 | + | 0.604656i | −0.0568544 | + | 0.0251286i | ||||
\(580\) | 1.75758 | + | 1.75758i | 0.0729797 | + | 0.0729797i | ||||
\(581\) | −14.3558 | + | 8.28832i | −0.595579 | + | 0.343857i | ||||
\(582\) | −7.00278 | + | 1.08967i | −0.290275 | + | 0.0451681i | ||||
\(583\) | 44.5134 | − | 11.9273i | 1.84356 | − | 0.493980i | ||||
\(584\) | −6.62398 | −0.274102 | ||||||||
\(585\) | −6.03527 | + | 11.1455i | −0.249528 | + | 0.460811i | ||||
\(586\) | −21.0768 | −0.870674 | ||||||||
\(587\) | 6.77509 | − | 1.81538i | 0.279638 | − | 0.0749288i | −0.116274 | − | 0.993217i | \(-0.537095\pi\) |
0.395912 | + | 0.918288i | \(0.370428\pi\) | |||||||
\(588\) | −1.71146 | + | 0.266310i | −0.0705792 | + | 0.0109825i | ||||
\(589\) | 28.6813 | − | 16.5591i | 1.18179 | − | 0.682307i | ||||
\(590\) | −1.31886 | − | 1.31886i | −0.0542966 | − | 0.0542966i | ||||
\(591\) | 33.5165 | − | 14.8137i | 1.37869 | − | 0.609354i | ||||
\(592\) | −2.64273 | + | 9.86282i | −0.108616 | + | 0.405359i | ||||
\(593\) | 11.2191 | − | 11.2191i | 0.460714 | − | 0.460714i | −0.438175 | − | 0.898890i | \(-0.644375\pi\) |
0.898890 | + | 0.438175i | \(0.144375\pi\) | |||||||
\(594\) | −20.9671 | − | 13.8601i | −0.860289 | − | 0.568685i | ||||
\(595\) | −0.525339 | − | 0.303304i | −0.0215368 | − | 0.0124343i | ||||
\(596\) | 1.69498 | + | 6.32574i | 0.0694290 | + | 0.259112i | ||||
\(597\) | 2.07068 | − | 1.66752i | 0.0847471 | − | 0.0682470i | ||||
\(598\) | 17.6001 | + | 5.08817i | 0.719721 | + | 0.208071i | ||||
\(599\) | 40.3004i | 1.64663i | 0.567586 | + | 0.823314i | \(0.307877\pi\) | ||||
−0.567586 | + | 0.823314i | \(0.692123\pi\) | |||||||
\(600\) | 5.07225 | + | 3.70627i | 0.207074 | + | 0.151308i | ||||
\(601\) | −6.18901 | + | 10.7197i | −0.252455 | + | 0.437265i | −0.964201 | − | 0.265172i | \(-0.914571\pi\) |
0.711746 | + | 0.702437i | \(0.247905\pi\) | |||||||
\(602\) | −0.146580 | − | 0.253885i | −0.00597417 | − | 0.0103476i | ||||
\(603\) | 18.7298 | + | 29.1869i | 0.762737 | + | 1.18858i | ||||
\(604\) | −21.4395 | − | 5.74469i | −0.872360 | − | 0.233748i | ||||
\(605\) | 14.0315 | + | 3.75973i | 0.570462 | + | 0.152855i | ||||
\(606\) | 0.675152 | − | 6.26022i | 0.0274262 | − | 0.254304i | ||||
\(607\) | −19.4537 | − | 33.6949i | −0.789603 | − | 1.36763i | −0.926210 | − | 0.377007i | \(-0.876953\pi\) |
0.136607 | − | 0.990625i | \(-0.456380\pi\) | |||||||
\(608\) | −2.84839 | + | 4.93356i | −0.115517 | + | 0.200082i | ||||
\(609\) | −2.16762 | + | 2.96651i | −0.0878364 | + | 0.120209i | ||||
\(610\) | 13.8355i | 0.560185i | ||||||||
\(611\) | 30.1982 | + | 31.4075i | 1.22169 | + | 1.27061i | ||||
\(612\) | 1.51734 | + | 0.331135i | 0.0613348 | + | 0.0133853i | ||||
\(613\) | 11.8801 | + | 44.3370i | 0.479831 | + | 1.79075i | 0.602286 | + | 0.798280i | \(0.294257\pi\) |
−0.122455 | + | 0.992474i | \(0.539077\pi\) | |||||||
\(614\) | 1.29488 | + | 0.747599i | 0.0522571 | + | 0.0301706i | ||||
\(615\) | −12.6718 | − | 4.90372i | −0.510975 | − | 0.197737i | ||||
\(616\) | −3.42031 | + | 3.42031i | −0.137808 | + | 0.137808i | ||||
\(617\) | 11.9499 | − | 44.5976i | 0.481084 | − | 1.79543i | −0.115996 | − | 0.993250i | \(-0.537006\pi\) |
0.597081 | − | 0.802181i | \(-0.296327\pi\) | |||||||
\(618\) | −9.35588 | − | 21.1680i | −0.376349 | − | 0.851503i | ||||
\(619\) | 27.7189 | + | 27.7189i | 1.11412 | + | 1.11412i | 0.992588 | + | 0.121530i | \(0.0387802\pi\) |
0.121530 | + | 0.992588i | \(0.461220\pi\) | |||||||
\(620\) | −5.89947 | + | 3.40606i | −0.236928 | + | 0.136791i | ||||
\(621\) | 1.59637 | − | 26.3548i | 0.0640603 | − | 1.05758i | ||||
\(622\) | −6.11184 | + | 1.63766i | −0.245062 | + | 0.0656643i | ||||
\(623\) | 2.77347 | 0.111117 | ||||||||
\(624\) | −5.77876 | − | 2.36768i | −0.231336 | − | 0.0947831i | ||||
\(625\) | −6.28943 | −0.251577 | ||||||||
\(626\) | 25.8413 | − | 6.92415i | 1.03283 | − | 0.276745i | ||||
\(627\) | 7.33834 | + | 47.1601i | 0.293065 | + | 1.88339i | ||||
\(628\) | −14.1196 | + | 8.15196i | −0.563434 | + | 0.325299i | ||||
\(629\) | −3.73772 | − | 3.73772i | −0.149033 | − | 0.149033i | ||||
\(630\) | 1.61290 | − | 3.12347i | 0.0642593 | − | 0.124442i | ||||
\(631\) | 10.3812 | − | 38.7430i | 0.413267 | − | 1.54233i | −0.375014 | − | 0.927019i | \(-0.622362\pi\) |
0.788281 | − | 0.615315i | \(-0.210971\pi\) | |||||||
\(632\) | −1.79103 | + | 1.79103i | −0.0712432 | + | 0.0712432i | ||||
\(633\) | 6.36635 | − | 16.4514i | 0.253040 | − | 0.653883i | ||||
\(634\) | 16.6761 | + | 9.62793i | 0.662291 | + | 0.382374i | ||||
\(635\) | −1.34485 | − | 5.01906i | −0.0533689 | − | 0.199175i | ||||
\(636\) | −10.3500 | − | 12.8523i | −0.410405 | − | 0.509628i | ||||
\(637\) | −1.86371 | + | 3.08652i | −0.0738428 | + | 0.122292i | ||||
\(638\) | 10.2605i | 0.406215i | ||||||||
\(639\) | 0.265009 | + | 5.64226i | 0.0104836 | + | 0.223204i | ||||
\(640\) | 0.585888 | − | 1.01479i | 0.0231592 | − | 0.0401130i | ||||
\(641\) | −24.9443 | − | 43.2048i | −0.985241 | − | 1.70649i | −0.640863 | − | 0.767656i | \(-0.721423\pi\) |
−0.344378 | − | 0.938831i | \(-0.611910\pi\) | |||||||
\(642\) | −2.57837 | − | 0.278071i | −0.101760 | − | 0.0109746i | ||||
\(643\) | 14.2810 | + | 3.82658i | 0.563188 | + | 0.150906i | 0.529171 | − | 0.848515i | \(-0.322503\pi\) |
0.0340174 | + | 0.999421i | \(0.489170\pi\) | |||||||
\(644\) | −4.90814 | − | 1.31513i | −0.193408 | − | 0.0518235i | ||||
\(645\) | 0.591561 | + | 0.0637986i | 0.0232927 | + | 0.00251207i | ||||
\(646\) | −1.47457 | − | 2.55402i | −0.0580160 | − | 0.100487i | ||||
\(647\) | −9.53941 | + | 16.5227i | −0.375033 | + | 0.649576i | −0.990332 | − | 0.138718i | \(-0.955702\pi\) |
0.615299 | + | 0.788294i | \(0.289035\pi\) | |||||||
\(648\) | −1.50429 | + | 8.87339i | −0.0590939 | + | 0.348580i | ||||
\(649\) | − | 7.69926i | − | 0.302222i | ||||||
\(650\) | 12.6955 | − | 3.13606i | 0.497960 | − | 0.123006i | ||||
\(651\) | −6.31555 | − | 7.84247i | −0.247526 | − | 0.307371i | ||||
\(652\) | 0.906537 | + | 3.38324i | 0.0355027 | + | 0.132498i | ||||
\(653\) | −3.37449 | − | 1.94826i | −0.132054 | − | 0.0762415i | 0.432518 | − | 0.901625i | \(-0.357625\pi\) |
−0.564572 | + | 0.825384i | \(0.690959\pi\) | |||||||
\(654\) | 8.26882 | − | 21.3676i | 0.323336 | − | 0.835538i | ||||
\(655\) | 11.8426 | − | 11.8426i | 0.462728 | − | 0.462728i | ||||
\(656\) | 1.73273 | − | 6.46664i | 0.0676518 | − | 0.252480i | ||||
\(657\) | 17.6568 | + | 9.11761i | 0.688859 | + | 0.355712i | ||||
\(658\) | −8.54481 | − | 8.54481i | −0.333111 | − | 0.333111i | ||||
\(659\) | −3.30124 | + | 1.90597i | −0.128598 | + | 0.0742462i | −0.562919 | − | 0.826512i | \(-0.690322\pi\) |
0.434321 | + | 0.900758i | \(0.356988\pi\) | |||||||
\(660\) | −1.50943 | − | 9.70040i | −0.0587544 | − | 0.377588i | ||||
\(661\) | −22.9665 | + | 6.15385i | −0.893292 | + | 0.239357i | −0.676133 | − | 0.736779i | \(-0.736346\pi\) |
−0.217159 | + | 0.976136i | \(0.569679\pi\) | |||||||
\(662\) | 9.35287 | 0.363510 | ||||||||
\(663\) | 2.55728 | − | 1.97792i | 0.0993166 | − | 0.0768161i | ||||
\(664\) | 16.5766 | 0.643298 | ||||||||
\(665\) | −6.44789 | + | 1.72771i | −0.250038 | + | 0.0669976i | ||||
\(666\) | 20.6202 | − | 22.6526i | 0.799015 | − | 0.877772i | ||||
\(667\) | −9.33449 | + | 5.38927i | −0.361433 | + | 0.208673i | ||||
\(668\) | −10.6265 | − | 10.6265i | −0.411151 | − | 0.411151i | ||||
\(669\) | 1.37660 | + | 3.11460i | 0.0532223 | + | 0.120417i | ||||
\(670\) | −3.50586 | + | 13.0840i | −0.135443 | + | 0.505480i | ||||
\(671\) | −40.3847 | + | 40.3847i | −1.55903 | + | 1.55903i | ||||
\(672\) | 1.61532 | + | 0.625096i | 0.0623123 | + | 0.0241136i | ||||
\(673\) | 4.61841 | + | 2.66644i | 0.178027 | + | 0.102784i | 0.586365 | − | 0.810047i | \(-0.300558\pi\) |
−0.408339 | + | 0.912831i | \(0.633892\pi\) | |||||||
\(674\) | −1.15886 | − | 4.32492i | −0.0446375 | − | 0.166590i | ||||
\(675\) | −8.41903 | − | 16.8611i | −0.324049 | − | 0.648985i | ||||
\(676\) | −11.5047 | + | 6.05318i | −0.442490 | + | 0.232815i | ||||
\(677\) | − | 17.4542i | − | 0.670819i | −0.942072 | − | 0.335410i | \(-0.891125\pi\) | ||
0.942072 | − | 0.335410i | \(-0.108875\pi\) | |||||||
\(678\) | 17.5227 | − | 23.9809i | 0.672955 | − | 0.920979i | ||||
\(679\) | 2.04586 | − | 3.54353i | 0.0785127 | − | 0.135988i | ||||
\(680\) | 0.303304 | + | 0.525339i | 0.0116312 | + | 0.0201458i | ||||
\(681\) | 0.949212 | − | 8.80140i | 0.0363739 | − | 0.337270i | ||||
\(682\) | −27.1620 | − | 7.27804i | −1.04009 | − | 0.278690i | ||||
\(683\) | −14.4342 | − | 3.86763i | −0.552309 | − | 0.147991i | −0.0281382 | − | 0.999604i | \(-0.508958\pi\) |
−0.524170 | + | 0.851613i | \(0.675625\pi\) | |||||||
\(684\) | 14.3835 | − | 9.23016i | 0.549965 | − | 0.352924i | ||||
\(685\) | 5.62597 | + | 9.74447i | 0.214957 | + | 0.372317i | ||||
\(686\) | 0.500000 | − | 0.866025i | 0.0190901 | − | 0.0330650i | ||||
\(687\) | 4.74734 | + | 3.46886i | 0.181122 | + | 0.132345i | ||||
\(688\) | 0.293161i | 0.0111766i | ||||||||
\(689\) | −34.3444 | − | 0.674152i | −1.30842 | − | 0.0256831i | ||||
\(690\) | 8.03216 | − | 6.46831i | 0.305779 | − | 0.246245i | ||||
\(691\) | −9.50395 | − | 35.4692i | −0.361547 | − | 1.34931i | −0.872042 | − | 0.489432i | \(-0.837204\pi\) |
0.510494 | − | 0.859881i | \(-0.329462\pi\) | |||||||
\(692\) | 3.70764 | + | 2.14061i | 0.140943 | + | 0.0813738i | ||||
\(693\) | 13.8250 | − | 4.40924i | 0.525170 | − | 0.167493i | ||||
\(694\) | −15.5534 | + | 15.5534i | −0.590398 | + | 0.590398i | ||||
\(695\) | −4.73848 | + | 17.6842i | −0.179741 | + | 0.670801i | ||||
\(696\) | 3.36047 | − | 1.48527i | 0.127378 | − | 0.0562989i | ||||
\(697\) | 2.45067 | + | 2.45067i | 0.0928256 | + | 0.0928256i | ||||
\(698\) | −30.6176 | + | 17.6771i | −1.15889 | + | 0.669086i | ||||
\(699\) | 14.6312 | − | 2.27669i | 0.553404 | − | 0.0861122i | ||||
\(700\) | −3.50336 | + | 0.938722i | −0.132414 | + | 0.0354804i | ||||
\(701\) | 12.1730 | 0.459768 | 0.229884 | − | 0.973218i | \(-0.426165\pi\) | ||||
0.229884 | + | 0.973218i | \(0.426165\pi\) | |||||||
\(702\) | 12.1448 | + | 14.2655i | 0.458376 | + | 0.538416i | ||||
\(703\) | −58.1684 | −2.19386 | ||||||||
\(704\) | 4.67223 | − | 1.25192i | 0.176091 | − | 0.0471835i | ||||
\(705\) | 24.2341 | − | 3.77094i | 0.912710 | − | 0.142022i | ||||
\(706\) | 2.63752 | − | 1.52277i | 0.0992644 | − | 0.0573104i | ||||
\(707\) | 2.57055 | + | 2.57055i | 0.0966753 | + | 0.0966753i | ||||
\(708\) | −2.52164 | + | 1.11452i | −0.0947689 | + | 0.0418861i | ||||
\(709\) | −4.31325 | + | 16.0973i | −0.161987 | + | 0.604545i | 0.836418 | + | 0.548092i | \(0.184646\pi\) |
−0.998405 | + | 0.0564528i | \(0.982021\pi\) | |||||||
\(710\) | −1.56005 | + | 1.56005i | −0.0585478 | + | 0.0585478i | ||||
\(711\) | 7.23941 | − | 2.30888i | 0.271499 | − | 0.0865897i | ||||
\(712\) | −2.40190 | − | 1.38673i | −0.0900148 | − | 0.0519701i | ||||
\(713\) | −7.64553 | − | 28.5335i | −0.286327 | − | 1.06859i | ||||
\(714\) | −0.698360 | + | 0.562390i | −0.0261354 | + | 0.0210469i | ||||
\(715\) | −17.4942 | − | 10.5634i | −0.654244 | − | 0.395047i | ||||
\(716\) | 10.6618i | 0.398452i | ||||||||
\(717\) | −39.7044 | − | 29.0118i | −1.48279 | − | 1.08347i | ||||
\(718\) | 6.15101 | − | 10.6539i | 0.229554 | − | 0.397599i | ||||
\(719\) | −3.40817 | − | 5.90313i | −0.127103 | − | 0.220150i | 0.795450 | − | 0.606020i | \(-0.207235\pi\) |
−0.922553 | + | 0.385870i | \(0.873901\pi\) | |||||||
\(720\) | −2.95854 | + | 1.89856i | −0.110258 | + | 0.0707551i | ||||
\(721\) | 12.9066 | + | 3.45830i | 0.480666 | + | 0.128794i | ||||
\(722\) | −12.9949 | − | 3.48198i | −0.483620 | − | 0.129586i | ||||
\(723\) | −4.13080 | + | 38.3021i | −0.153626 | + | 1.42447i | ||||
\(724\) | 6.86168 | + | 11.8848i | 0.255013 | + | 0.441695i | ||||
\(725\) | −3.84678 | + | 6.66282i | −0.142866 | + | 0.247451i | ||||
\(726\) | 12.6681 | − | 17.3371i | 0.470159 | − | 0.643440i | ||||
\(727\) | − | 31.4461i | − | 1.16627i | −0.812375 | − | 0.583135i | \(-0.801826\pi\) | ||
0.812375 | − | 0.583135i | \(-0.198174\pi\) | |||||||
\(728\) | 3.15728 | − | 1.74115i | 0.117017 | − | 0.0645312i | ||||
\(729\) | 16.2236 | − | 21.5823i | 0.600875 | − | 0.799343i | ||||
\(730\) | 2.00891 | + | 7.49734i | 0.0743530 | + | 0.277489i | ||||
\(731\) | −0.131432 | − | 0.0758822i | −0.00486118 | − | 0.00280661i | ||||
\(732\) | 19.0726 | + | 7.38072i | 0.704944 | + | 0.272799i | ||||
\(733\) | −3.85594 | + | 3.85594i | −0.142422 | + | 0.142422i | −0.774723 | − | 0.632301i | \(-0.782111\pi\) |
0.632301 | + | 0.774723i | \(0.282111\pi\) | |||||||
\(734\) | −4.06624 | + | 15.1754i | −0.150088 | + | 0.560135i | ||||
\(735\) | 0.820469 | + | 1.85634i | 0.0302635 | + | 0.0684722i | ||||
\(736\) | 3.59301 | + | 3.59301i | 0.132440 | + | 0.132440i | ||||
\(737\) | −48.4244 | + | 27.9578i | −1.78374 | + | 1.02984i | ||||
\(738\) | −13.5198 | + | 14.8524i | −0.497670 | + | 0.546724i | ||||
\(739\) | 4.86945 | − | 1.30477i | 0.179126 | − | 0.0479966i | −0.168141 | − | 0.985763i | \(-0.553776\pi\) |
0.347267 | + | 0.937766i | \(0.387110\pi\) | |||||||
\(740\) | 11.9647 | 0.439831 | ||||||||
\(741\) | 4.50816 | − | 35.2896i | 0.165611 | − | 1.29640i | ||||
\(742\) | 9.52725 | 0.349756 | ||||||||
\(743\) | 17.4562 | − | 4.67738i | 0.640407 | − | 0.171597i | 0.0760193 | − | 0.997106i | \(-0.475779\pi\) |
0.564388 | + | 0.825510i | \(0.309112\pi\) | |||||||
\(744\) | 1.54820 | + | 9.94955i | 0.0567597 | + | 0.364768i | ||||
\(745\) | 6.64573 | − | 3.83691i | 0.243481 | − | 0.140574i | ||||
\(746\) | 1.49380 | + | 1.49380i | 0.0546918 | + | 0.0546918i | ||||
\(747\) | −44.1865 | − | 22.8170i | −1.61670 | − | 0.834830i | ||||
\(748\) | −0.648098 | + | 2.41873i | −0.0236968 | + | 0.0884377i | ||||
\(749\) | 1.05872 | − | 1.05872i | 0.0386847 | − | 0.0386847i | ||||
\(750\) | 6.31899 | − | 16.3290i | 0.230737 | − | 0.596251i | ||||
\(751\) | −39.0894 | − | 22.5683i | −1.42639 | − | 0.823528i | −0.429559 | − | 0.903039i | \(-0.641331\pi\) |
−0.996834 | + | 0.0795108i | \(0.974664\pi\) | |||||||
\(752\) | 3.12762 | + | 11.6724i | 0.114053 | + | 0.425650i | ||||
\(753\) | 17.7172 | + | 22.0007i | 0.645650 | + | 0.801749i | ||||
\(754\) | 2.12410 | − | 7.34731i | 0.0773551 | − | 0.267573i | ||||
\(755\) | 26.0085i | 0.946545i | ||||||||
\(756\) | −3.44536 | − | 3.88966i | −0.125307 | − | 0.141466i | ||||
\(757\) | −21.5477 | + | 37.3217i | −0.783164 | + | 1.35648i | 0.146925 | + | 0.989148i | \(0.453062\pi\) |
−0.930090 | + | 0.367333i | \(0.880271\pi\) | |||||||
\(758\) | 17.1930 | + | 29.7792i | 0.624478 | + | 1.08163i | ||||
\(759\) | 42.3256 | + | 4.56472i | 1.53632 | + | 0.165689i | ||||
\(760\) | 6.44789 | + | 1.72771i | 0.233890 | + | 0.0626705i | ||||
\(761\) | 36.4729 | + | 9.77289i | 1.32214 | + | 0.354267i | 0.849780 | − | 0.527137i | \(-0.176735\pi\) |
0.472363 | + | 0.881404i | \(0.343401\pi\) | |||||||
\(762\) | −7.63631 | − | 0.823560i | −0.276634 | − | 0.0298344i | ||||
\(763\) | 6.61404 | + | 11.4559i | 0.239444 | + | 0.414730i | ||||
\(764\) | 9.09873 | − | 15.7595i | 0.329181 | − | 0.570157i | ||||
\(765\) | −0.0853807 | − | 1.81782i | −0.00308694 | − | 0.0657235i | ||||
\(766\) | − | 27.8236i | − | 1.00531i | ||||||
\(767\) | −1.59389 | + | 5.51329i | −0.0575519 | + | 0.199073i | ||||
\(768\) | −1.08636 | − | 1.34901i | −0.0392006 | − | 0.0486781i | ||||
\(769\) | −7.35795 | − | 27.4602i | −0.265335 | − | 0.990242i | −0.962045 | − | 0.272890i | \(-0.912021\pi\) |
0.696711 | − | 0.717352i | \(-0.254646\pi\) | |||||||
\(770\) | 4.90857 | + | 2.83396i | 0.176893 | + | 0.102129i | ||||
\(771\) | −1.87256 | + | 4.83892i | −0.0674387 | + | 0.174269i | ||||
\(772\) | −0.610626 | + | 0.610626i | −0.0219769 | + | 0.0219769i | ||||
\(773\) | −2.26818 | + | 8.46496i | −0.0815808 | + | 0.304464i | −0.994645 | − | 0.103353i | \(-0.967043\pi\) |
0.913064 | + | 0.407816i | \(0.133710\pi\) | |||||||
\(774\) | 0.403522 | − | 0.781446i | 0.0145043 | − | 0.0280885i | ||||
\(775\) | −14.9095 | − | 14.9095i | −0.535566 | − | 0.535566i | ||||
\(776\) | −3.54353 | + | 2.04586i | −0.127205 | + | 0.0734419i | ||||
\(777\) | 2.71923 | + | 17.4752i | 0.0975517 | + | 0.626920i | ||||
\(778\) | 15.4683 | − | 4.14471i | 0.554564 | − | 0.148595i | ||||
\(779\) | 38.1386 | 1.36646 | ||||||||
\(780\) | −0.927286 | + | 7.25874i | −0.0332022 | + | 0.259905i | ||||
\(781\) | −9.10732 | −0.325885 | ||||||||
\(782\) | −2.54087 | + | 0.680823i | −0.0908612 | + | 0.0243462i | ||||
\(783\) | −11.0020 | − | 0.666420i | −0.393181 | − | 0.0238159i | ||||
\(784\) | −0.866025 | + | 0.500000i | −0.0309295 | + | 0.0178571i | ||||
\(785\) | 13.5089 | + | 13.5089i | 0.482155 | + | 0.482155i | ||||
\(786\) | −10.0077 | − | 22.6428i | −0.356964 | − | 0.807643i | ||||
\(787\) | −5.18723 | + | 19.3590i | −0.184905 | + | 0.690074i | 0.809746 | + | 0.586781i | \(0.199605\pi\) |
−0.994651 | + | 0.103294i | \(0.967062\pi\) | |||||||
\(788\) | 14.9600 | − | 14.9600i | 0.532926 | − | 0.532926i | ||||
\(789\) | 6.57480 | + | 2.54432i | 0.234069 | + | 0.0905801i | ||||
\(790\) | 2.57035 | + | 1.48399i | 0.0914489 | + | 0.0527980i | ||||
\(791\) | 4.43814 | + | 16.5634i | 0.157802 | + | 0.588925i | ||||
\(792\) | −14.1774 | − | 3.09400i | −0.503774 | − | 0.109941i | ||||
\(793\) | 37.2791 | − | 20.5583i | 1.32382 | − | 0.730048i | ||||
\(794\) | − | 13.9657i | − | 0.495623i | ||||||
\(795\) | −11.4080 | + | 15.6125i | −0.404599 | + | 0.553717i | ||||
\(796\) | 0.767481 | − | 1.32932i | 0.0272026 | − | 0.0471163i | ||||
\(797\) | 5.16123 | + | 8.93952i | 0.182820 | + | 0.316654i | 0.942840 | − | 0.333246i | \(-0.108144\pi\) |
−0.760020 | + | 0.649900i | \(0.774811\pi\) | |||||||
\(798\) | −1.05801 | + | 9.81023i | −0.0374532 | + | 0.347278i | ||||
\(799\) | −6.04263 | − | 1.61912i | −0.213773 | − | 0.0572802i | ||||
\(800\) | 3.50336 | + | 0.938722i | 0.123862 | + | 0.0331888i | ||||
\(801\) | 4.49369 | + | 7.00257i | 0.158777 | + | 0.247424i | ||||
\(802\) | −12.9407 | − | 22.4139i | −0.456951 | − | 0.791463i | ||||
\(803\) | −16.0202 | + | 27.7479i | −0.565342 | + | 0.979202i | ||||
\(804\) | 16.1664 | + | 11.8127i | 0.570145 | + | 0.416603i | ||||
\(805\) | 5.95412i | 0.209855i | ||||||||
\(806\) | 17.9435 | + | 10.8347i | 0.632032 | + | 0.381635i | ||||
\(807\) | −4.18218 | + | 3.36792i | −0.147220 | + | 0.118556i | ||||
\(808\) | −0.940885 | − | 3.51143i | −0.0331002 | − | 0.123532i | ||||
\(809\) | 42.5731 | + | 24.5796i | 1.49679 | + | 0.864172i | 0.999993 | − | 0.00369576i | \(-0.00117640\pi\) |
0.496796 | + | 0.867867i | \(0.334510\pi\) | |||||||
\(810\) | 10.4995 | − | 0.988480i | 0.368917 | − | 0.0347316i | ||||
\(811\) | 9.89969 | − | 9.89969i | 0.347625 | − | 0.347625i | −0.511599 | − | 0.859224i | \(-0.670947\pi\) |
0.859224 | + | 0.511599i | \(0.170947\pi\) | |||||||
\(812\) | −0.549013 | + | 2.04895i | −0.0192666 | + | 0.0719039i | ||||
\(813\) | 24.3069 | − | 10.7432i | 0.852480 | − | 0.376781i | ||||
\(814\) | 34.9239 | + | 34.9239i | 1.22408 | + | 1.22408i | ||||
\(815\) | 3.55438 | − | 2.05212i | 0.124505 | − | 0.0718828i | ||||
\(816\) | 0.885992 | − | 0.137865i | 0.0310159 | − | 0.00482623i | ||||
\(817\) | −1.61317 | + | 0.432246i | −0.0564375 | + | 0.0151224i | ||||
\(818\) | −7.54280 | −0.263728 | ||||||||
\(819\) | −10.8126 | + | 0.295339i | −0.377824 | + | 0.0103200i | ||||
\(820\) | −7.84475 | −0.273951 | ||||||||
\(821\) | −16.1341 | + | 4.32313i | −0.563085 | + | 0.150878i | −0.529123 | − | 0.848545i | \(-0.677479\pi\) |
−0.0339617 | + | 0.999423i | \(0.510812\pi\) | |||||||
\(822\) | 16.4342 | − | 2.55724i | 0.573209 | − | 0.0891940i | ||||
\(823\) | 4.33765 | − | 2.50434i | 0.151201 | − | 0.0872959i | −0.422491 | − | 0.906367i | \(-0.638844\pi\) |
0.573692 | + | 0.819071i | \(0.305511\pi\) | |||||||
\(824\) | −9.44826 | − | 9.44826i | −0.329146 | − | 0.329146i | ||||
\(825\) | 27.7929 | − | 12.2840i | 0.967625 | − | 0.427673i | ||||
\(826\) | 0.411970 | − | 1.53749i | 0.0143343 | − | 0.0534962i | ||||
\(827\) | 20.9459 | − | 20.9459i | 0.728359 | − | 0.728359i | −0.241934 | − | 0.970293i | \(-0.577782\pi\) |
0.970293 | + | 0.241934i | \(0.0777817\pi\) | |||||||
\(828\) | −4.63188 | − | 14.5231i | −0.160969 | − | 0.504713i | ||||
\(829\) | 31.5815 | + | 18.2336i | 1.09687 | + | 0.633280i | 0.935398 | − | 0.353597i | \(-0.115042\pi\) |
0.161475 | + | 0.986877i | \(0.448375\pi\) | |||||||
\(830\) | −5.02733 | − | 18.7622i | −0.174501 | − | 0.651247i | ||||
\(831\) | −1.63991 | + | 1.32063i | −0.0568880 | + | 0.0458120i | ||||
\(832\) | −3.60486 | − | 0.0707604i | −0.124976 | − | 0.00245317i | ||||
\(833\) | − | 0.517684i | − | 0.0179367i | ||||||
\(834\) | 21.8503 | + | 15.9659i | 0.756615 | + | 0.552856i | ||||
\(835\) | −8.80478 | + | 15.2503i | −0.304702 | + | 0.527759i | ||||
\(836\) | 13.7778 | + | 23.8638i | 0.476515 | + | 0.825348i | ||||
\(837\) | 9.56825 | − | 28.6525i | 0.330727 | − | 0.990374i | ||||
\(838\) | −16.0547 | − | 4.30185i | −0.554601 | − | 0.148605i | ||||
\(839\) | −49.7434 | − | 13.3287i | −1.71733 | − | 0.460158i | −0.740130 | − | 0.672464i | \(-0.765236\pi\) |
−0.977203 | + | 0.212306i | \(0.931903\pi\) | |||||||
\(840\) | 0.217623 | − | 2.01787i | 0.00750872 | − | 0.0696232i | ||||
\(841\) | −12.2502 | − | 21.2180i | −0.422421 | − | 0.731654i | ||||
\(842\) | 6.22805 | − | 10.7873i | 0.214633 | − | 0.371755i | ||||
\(843\) | 2.62395 | − | 3.59103i | 0.0903736 | − | 0.123682i | ||||
\(844\) | − | 10.1846i | − | 0.350568i | ||||||
\(845\) | 10.3404 | + | 11.1858i | 0.355721 | + | 0.384804i | ||||
\(846\) | 7.72962 | − | 35.4189i | 0.265750 | − | 1.21773i | ||||
\(847\) | 3.20858 | + | 11.9746i | 0.110248 | + | 0.411451i | ||||
\(848\) | −8.25084 | − | 4.76362i | −0.283335 | − | 0.163584i | ||||
\(849\) | −15.4880 | − | 5.99355i | −0.531547 | − | 0.205698i | ||||
\(850\) | −1.32767 | + | 1.32767i | −0.0455387 | + | 0.0455387i | ||||
\(851\) | −13.4285 | + | 50.1158i | −0.460322 | + | 1.71795i | ||||
\(852\) | 1.31834 | + | 2.98280i | 0.0451657 | + | 0.102189i | ||||
\(853\) | −14.1855 | − | 14.1855i | −0.485702 | − | 0.485702i | 0.421245 | − | 0.906947i | \(-0.361593\pi\) |
−0.906947 | + | 0.421245i | \(0.861593\pi\) | |||||||
\(854\) | −10.2255 | + | 5.90367i | −0.349908 | + | 0.202019i | ||||
\(855\) | −14.8093 | − | 13.4806i | −0.506468 | − | 0.461026i | ||||
\(856\) | −1.44624 | + | 0.387518i | −0.0494313 | + | 0.0132451i | ||||
\(857\) | −10.4375 | −0.356538 | −0.178269 | − | 0.983982i | \(-0.557050\pi\) | ||||
−0.178269 | + | 0.983982i | \(0.557050\pi\) | |||||||
\(858\) | −23.8943 | + | 18.4810i | −0.815737 | + | 0.630929i | ||||
\(859\) | −34.6814 | −1.18331 | −0.591656 | − | 0.806190i | \(-0.701526\pi\) | ||||
−0.591656 | + | 0.806190i | \(0.701526\pi\) | |||||||
\(860\) | 0.331813 | − | 0.0889091i | 0.0113147 | − | 0.00303177i | ||||
\(861\) | −1.78288 | − | 11.4578i | −0.0607605 | − | 0.390480i | ||||
\(862\) | −16.5218 | + | 9.53886i | −0.562734 | + | 0.324895i | ||||
\(863\) | −31.2962 | − | 31.2962i | −1.06533 | − | 1.06533i | −0.997711 | − | 0.0676228i | \(-0.978459\pi\) |
−0.0676228 | − | 0.997711i | \(-0.521541\pi\) | |||||||
\(864\) | 1.03894 | + | 5.09123i | 0.0353455 | + | 0.173207i | ||||
\(865\) | 1.29840 | − | 4.84569i | 0.0441469 | − | 0.164758i | ||||
\(866\) | 14.2286 | − | 14.2286i | 0.483507 | − | 0.483507i | ||||
\(867\) | 10.4591 | − | 27.0275i | 0.355210 | − | 0.917903i | ||||
\(868\) | −5.03464 | − | 2.90675i | −0.170887 | − | 0.0986616i | ||||
\(869\) | 3.17098 | + | 11.8343i | 0.107568 | + | 0.401450i | ||||
\(870\) | −2.70025 | − | 3.35309i | −0.0915471 | − | 0.113680i | ||||
\(871\) | 40.4635 | − | 9.99533i | 1.37105 | − | 0.338679i | ||||
\(872\) | − | 13.2281i | − | 0.447959i | ||||||
\(873\) | 12.2616 | − | 0.575912i | 0.414993 | − | 0.0194917i | ||||
\(874\) | −14.4735 | + | 25.0688i | −0.489573 | + | 0.847965i | ||||
\(875\) | 5.05442 | + | 8.75451i | 0.170871 | + | 0.295956i | ||||
\(876\) | 11.4069 | + | 1.23021i | 0.385404 | + | 0.0415650i | ||||
\(877\) | −10.6929 | − | 2.86516i | −0.361075 | − | 0.0967497i | 0.0737208 | − | 0.997279i | \(-0.476513\pi\) |
−0.434795 | + | 0.900529i | \(0.643179\pi\) | |||||||
\(878\) | −24.8239 | − | 6.65155i | −0.837766 | − | 0.224479i | ||||
\(879\) | 36.2956 | + | 3.91440i | 1.22422 | + | 0.132030i | ||||
\(880\) | −2.83396 | − | 4.90857i | −0.0955329 | − | 0.165468i | ||||
\(881\) | 14.9885 | − | 25.9608i | 0.504974 | − | 0.874641i | −0.495009 | − | 0.868888i | \(-0.664835\pi\) |
0.999983 | − | 0.00575302i | \(-0.00183125\pi\) | |||||||
\(882\) | 2.99670 | − | 0.140751i | 0.100904 | − | 0.00473933i | ||||
\(883\) | − | 23.3378i | − | 0.785381i | −0.919671 | − | 0.392690i | \(-0.871544\pi\) | ||
0.919671 | − | 0.392690i | \(-0.128456\pi\) | |||||||
\(884\) | 0.964811 | − | 1.59784i | 0.0324501 | − | 0.0537412i | ||||
\(885\) | 2.02622 | + | 2.51610i | 0.0681107 | + | 0.0845778i | ||||
\(886\) | 0.00922912 | + | 0.0344435i | 0.000310058 | + | 0.00115715i | ||||
\(887\) | 14.8835 | + | 8.59297i | 0.499738 | + | 0.288524i | 0.728605 | − | 0.684934i | \(-0.240169\pi\) |
−0.228868 | + | 0.973458i | \(0.573502\pi\) | |||||||
\(888\) | 6.38269 | − | 16.4936i | 0.214189 | − | 0.553489i | ||||
\(889\) | 3.13559 | − | 3.13559i | 0.105164 | − | 0.105164i | ||||
\(890\) | −0.841132 | + | 3.13915i | −0.0281948 | + | 0.105224i | ||||
\(891\) | 33.5325 | + | 27.7620i | 1.12338 | + | 0.930060i | ||||
\(892\) | 1.39019 | + | 1.39019i | 0.0465470 | + | 0.0465470i | ||||
\(893\) | −59.6180 | + | 34.4205i | −1.99504 | + | 1.15184i | ||||
\(894\) | −1.74404 | − | 11.2081i | −0.0583293 | − | 0.374856i | ||||
\(895\) | 12.0676 | − | 3.23350i | 0.403375 | − | 0.108084i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | −29.3635 | − | 12.0309i | −0.980419 | − | 0.401699i | ||||
\(898\) | 27.0334 | 0.902117 | ||||||||
\(899\) | −11.9116 | + | 3.19169i | −0.397273 | + | 0.106449i | ||||
\(900\) | −8.04641 | − | 7.32446i | −0.268214 | − | 0.244149i | ||||
\(901\) | 4.27132 | − | 2.46605i | 0.142298 | − | 0.0821560i | ||||
\(902\) | −22.8981 | − | 22.8981i | −0.762424 | − | 0.762424i | ||||
\(903\) | 0.205269 | + | 0.464429i | 0.00683093 | + | 0.0154552i | ||||
\(904\) | 4.43814 | − | 16.5634i | 0.147610 | − | 0.550889i | ||||
\(905\) | 11.3708 | − | 11.3708i | 0.377977 | − | 0.377977i | ||||
\(906\) | 35.8533 | + | 13.8745i | 1.19115 | + | 0.460949i | ||||
\(907\) | 20.9403 | + | 12.0899i | 0.695311 | + | 0.401438i | 0.805598 | − | 0.592462i | \(-0.201844\pi\) |
−0.110288 | + | 0.993900i | \(0.535177\pi\) | |||||||
\(908\) | −1.32281 | − | 4.93680i | −0.0438991 | − | 0.163834i | ||||
\(909\) | −2.32531 | + | 10.6551i | −0.0771257 | + | 0.353408i | ||||
\(910\) | −2.92825 | − | 3.04551i | −0.0970704 | − | 0.100958i | ||||
\(911\) | 20.0949i | 0.665774i | 0.942967 | + | 0.332887i | \(0.108023\pi\) | ||||
−0.942967 | + | 0.332887i | \(0.891977\pi\) | |||||||
\(912\) | 5.82138 | − | 7.96690i | 0.192765 | − | 0.263810i | ||||
\(913\) | 40.0910 | − | 69.4396i | 1.32682 | − | 2.29812i | ||||
\(914\) | 15.5448 | + | 26.9245i | 0.514178 | + | 0.890582i | ||||
\(915\) | 2.56955 | − | 23.8257i | 0.0849468 | − | 0.787654i | ||||
\(916\) | 3.27894 | + | 0.878590i | 0.108339 | + | 0.0290294i | ||||
\(917\) | 13.8058 | + | 3.69925i | 0.455907 | + | 0.122160i | ||||
\(918\) | −2.55146 | − | 0.852038i | −0.0842106 | − | 0.0281214i | ||||
\(919\) | −13.4305 | − | 23.2624i | −0.443032 | − | 0.767354i | 0.554881 | − | 0.831930i | \(-0.312764\pi\) |
−0.997913 | + | 0.0645756i | \(0.979431\pi\) | |||||||
\(920\) | 2.97706 | − | 5.15642i | 0.0981508 | − | 0.170002i | ||||
\(921\) | −2.09102 | − | 1.52790i | −0.0689015 | − | 0.0503460i | ||||
\(922\) | − | 18.8979i | − | 0.622371i | ||||||
\(923\) | 6.52157 | + | 1.88538i | 0.214660 | + | 0.0620580i | ||||
\(924\) | 6.52521 | − | 5.25477i | 0.214664 | − | 0.172869i | ||||
\(925\) | 9.58505 | + | 35.7719i | 0.315154 | + | 1.17617i | ||||
\(926\) | −1.17488 | − | 0.678320i | −0.0386091 | − | 0.0222910i | ||||
\(927\) | 12.1801 | + | 38.1903i | 0.400047 | + | 1.25433i | ||||
\(928\) | 1.49993 | − | 1.49993i | 0.0492377 | − | 0.0492377i | ||||
\(929\) | 4.56360 | − | 17.0316i | 0.149727 | − | 0.558789i | −0.849772 | − | 0.527150i | \(-0.823261\pi\) |
0.999499 | − | 0.0316389i | \(-0.0100727\pi\) | |||||||
\(930\) | 10.7918 | − | 4.76980i | 0.353879 | − | 0.156408i | ||||
\(931\) | −4.02823 | − | 4.02823i | −0.132020 | − | 0.132020i | ||||
\(932\) | 7.40365 | − | 4.27450i | 0.242515 | − | 0.140016i | ||||
\(933\) | 10.8291 | − | 1.68506i | 0.354530 | − | 0.0551665i | ||||
\(934\) | −27.3544 | + | 7.32959i | −0.895064 | + | 0.239832i | ||||
\(935\) | 2.93419 | 0.0959584 | ||||||||
\(936\) | 9.51167 | + | 5.15054i | 0.310899 | + | 0.168351i | ||||
\(937\) | 53.8449 | 1.75904 | 0.879519 | − | 0.475864i | \(-0.157865\pi\) | ||||
0.879519 | + | 0.475864i | \(0.157865\pi\) | |||||||
\(938\) | −11.1660 | + | 2.99192i | −0.364583 | + | 0.0976896i | ||||
\(939\) | −45.7863 | + | 7.12457i | −1.49418 | + | 0.232502i | ||||
\(940\) | 12.2629 | − | 7.07998i | 0.399971 | − | 0.230923i | ||||
\(941\) | 5.19843 | + | 5.19843i | 0.169464 | + | 0.169464i | 0.786744 | − | 0.617280i | \(-0.211765\pi\) |
−0.617280 | + | 0.786744i | \(0.711765\pi\) | |||||||
\(942\) | 25.8289 | − | 11.4159i | 0.841550 | − | 0.371950i | ||||
\(943\) | 8.80449 | − | 32.8588i | 0.286714 | − | 1.07003i | ||||
\(944\) | −1.12552 | + | 1.12552i | −0.0366326 | + | 0.0366326i | ||||
\(945\) | −3.35760 | + | 5.07927i | −0.109223 | + | 0.165229i | ||||
\(946\) | 1.22805 | + | 0.709015i | 0.0399274 | + | 0.0230521i | ||||
\(947\) | 9.58848 | + | 35.7847i | 0.311584 | + | 1.16285i | 0.927128 | + | 0.374744i | \(0.122269\pi\) |
−0.615544 | + | 0.788102i | \(0.711064\pi\) | |||||||
\(948\) | 3.41690 | − | 2.75163i | 0.110976 | − | 0.0893689i | ||||
\(949\) | 17.2161 | − | 16.5532i | 0.558858 | − | 0.537340i | ||||
\(950\) | 20.6619i | 0.670361i | ||||||||
\(951\) | −26.9291 | − | 19.6770i | −0.873237 | − | 0.638071i | ||||
\(952\) | −0.258842 | + | 0.448327i | −0.00838911 | + | 0.0145304i | ||||
\(953\) | 5.85318 | + | 10.1380i | 0.189603 | + | 0.328402i | 0.945118 | − | 0.326729i | \(-0.105947\pi\) |
−0.755515 | + | 0.655131i | \(0.772613\pi\) | |||||||
\(954\) | 15.4364 | + | 24.0548i | 0.499773 | + | 0.778802i | ||||
\(955\) | −20.5968 | − | 5.51889i | −0.666496 | − | 0.178587i | ||||
\(956\) | −27.4235 | − | 7.34810i | −0.886938 | − | 0.237654i | ||||
\(957\) | 1.90558 | − | 17.6692i | 0.0615987 | − | 0.571163i | ||||
\(958\) | 10.6032 | + | 18.3653i | 0.342574 | + | 0.593356i | ||||
\(959\) | −4.80124 | + | 8.31599i | −0.155040 | + | 0.268537i | ||||
\(960\) | −1.19740 | + | 1.63872i | −0.0386460 | + | 0.0528894i | ||||
\(961\) | − | 2.79684i | − | 0.0902207i | ||||||
\(962\) | −17.7784 | − | 32.2381i | −0.573199 | − | 1.03940i | ||||
\(963\) | 4.38847 | + | 0.957714i | 0.141417 | + | 0.0308619i | ||||
\(964\) | 5.75665 | + | 21.4841i | 0.185409 | + | 0.691956i | ||||
\(965\) | 0.876325 | + | 0.505946i | 0.0282099 | + | 0.0162870i | ||||
\(966\) | 8.20789 | + | 3.17629i | 0.264085 | + | 0.102195i | ||||
\(967\) | −25.0831 | + | 25.0831i | −0.806617 | + | 0.806617i | −0.984120 | − | 0.177503i | \(-0.943198\pi\) |
0.177503 | + | 0.984120i | \(0.443198\pi\) | |||||||
\(968\) | 3.20858 | − | 11.9746i | 0.103128 | − | 0.384877i | ||||
\(969\) | 2.06496 | + | 4.67205i | 0.0663361 | + | 0.150088i | ||||
\(970\) | 3.39027 | + | 3.39027i | 0.108855 | + | 0.108855i | ||||
\(971\) | −16.3331 | + | 9.42992i | −0.524154 | + | 0.302621i | −0.738633 | − | 0.674108i | \(-0.764528\pi\) |
0.214478 | + | 0.976729i | \(0.431195\pi\) | |||||||
\(972\) | 4.23845 | − | 15.0012i | 0.135948 | − | 0.481163i | ||||
\(973\) | −15.0918 | + | 4.04385i | −0.483822 | + | 0.129640i | ||||
\(974\) | −26.1828 | −0.838950 | ||||||||
\(975\) | −22.4450 | + | 3.04267i | −0.718814 | + | 0.0974435i | ||||
\(976\) | 11.8073 | 0.377944 | ||||||||
\(977\) | −41.4004 | + | 11.0932i | −1.32452 | + | 0.354903i | −0.850668 | − | 0.525703i | \(-0.823802\pi\) |
−0.473849 | + | 0.880606i | \(0.657136\pi\) | |||||||
\(978\) | −0.932777 | − | 5.99453i | −0.0298269 | − | 0.191684i | ||||
\(979\) | −11.6181 | + | 6.70770i | −0.371315 | + | 0.214379i | ||||
\(980\) | 0.828570 | + | 0.828570i | 0.0264677 | + | 0.0264677i | ||||
\(981\) | −18.2078 | + | 35.2606i | −0.581332 | + | 1.12579i | ||||
\(982\) | −2.74587 | + | 10.2477i | −0.0876244 | + | 0.327019i | ||||
\(983\) | 20.7752 | − | 20.7752i | 0.662625 | − | 0.662625i | −0.293373 | − | 0.955998i | \(-0.594778\pi\) |
0.955998 | + | 0.293373i | \(0.0947778\pi\) | |||||||
\(984\) | −4.18486 | + | 10.8142i | −0.133409 | + | 0.344743i | ||||
\(985\) | −21.4694 | − | 12.3954i | −0.684073 | − | 0.394949i | ||||
\(986\) | 0.284215 | + | 1.06071i | 0.00905126 | + | 0.0337797i | ||||
\(987\) | 13.1278 | + | 16.3017i | 0.417862 | + | 0.518888i | ||||
\(988\) | −4.92576 | − | 19.9407i | −0.156709 | − | 0.634397i | ||||
\(989\) | 1.48963i | 0.0473675i | ||||||||
\(990\) | 0.797765 | + | 16.9851i | 0.0253546 | + | 0.539821i | ||||
\(991\) | −3.23933 | + | 5.61068i | −0.102901 | + | 0.178229i | −0.912879 | − | 0.408231i | \(-0.866146\pi\) |
0.809978 | + | 0.586460i | \(0.199479\pi\) | |||||||
\(992\) | 2.90675 | + | 5.03464i | 0.0922895 | + | 0.159850i | ||||
\(993\) | −16.1063 | − | 1.73703i | −0.511117 | − | 0.0551228i | ||||
\(994\) | −1.81867 | − | 0.487312i | −0.0576848 | − | 0.0154566i | ||||
\(995\) | −1.73734 | − | 0.465519i | −0.0550775 | − | 0.0147580i | ||||
\(996\) | −28.5461 | − | 3.07863i | −0.904516 | − | 0.0975501i | ||||
\(997\) | 21.9402 | + | 38.0016i | 0.694854 | + | 1.20352i | 0.970230 | + | 0.242185i | \(0.0778642\pi\) |
−0.275376 | + | 0.961337i | \(0.588802\pi\) | |||||||
\(998\) | 16.7930 | − | 29.0863i | 0.531572 | − | 0.920709i | ||||
\(999\) | −39.7163 | + | 35.1797i | −1.25657 | + | 1.11304i |
(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 | 546.2.bu.a.71.7 | ✓ | 56 | |
3.2 | odd | 2 | 546.2.bu.b.71.10 | yes | 56 | ||
13.11 | odd | 12 | 546.2.bu.b.323.10 | yes | 56 | ||
39.11 | even | 12 | inner | 546.2.bu.a.323.7 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bu.a.71.7 | ✓ | 56 | 1.1 | even | 1 | trivial | |
546.2.bu.a.323.7 | yes | 56 | 39.11 | even | 12 | inner | |
546.2.bu.b.71.10 | yes | 56 | 3.2 | odd | 2 | ||
546.2.bu.b.323.10 | yes | 56 | 13.11 | odd | 12 |