Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(64,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.q (of order \(11\), degree \(10\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 64.4 | ||
Character | \(\chi\) | \(=\) | 483.64 |
Dual form | 483.2.q.f.400.4 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.545660 | − | 0.160220i | −0.385840 | − | 0.113293i | 0.0830589 | − | 0.996545i | \(-0.473531\pi\) |
−0.468899 | + | 0.883252i | \(0.655349\pi\) | |||||||
\(3\) | −0.654861 | + | 0.755750i | −0.378084 | + | 0.436332i | ||||
\(4\) | −1.41043 | − | 0.906430i | −0.705216 | − | 0.453215i | ||||
\(5\) | −0.339288 | + | 2.35980i | −0.151734 | + | 1.05533i | 0.761578 | + | 0.648073i | \(0.224425\pi\) |
−0.913312 | + | 0.407260i | \(0.866484\pi\) | |||||||
\(6\) | 0.478418 | − | 0.307461i | 0.195313 | − | 0.125520i | ||||
\(7\) | −0.415415 | − | 0.909632i | −0.157012 | − | 0.343809i | ||||
\(8\) | 1.36922 | + | 1.58017i | 0.484093 | + | 0.558673i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | 0.563223 | − | 1.23329i | 0.178107 | − | 0.390000i | ||||
\(11\) | −4.74934 | + | 1.39453i | −1.43198 | + | 0.420467i | −0.903540 | − | 0.428503i | \(-0.859041\pi\) |
−0.528440 | + | 0.848971i | \(0.677223\pi\) | |||||||
\(12\) | 1.60867 | − | 0.472348i | 0.464383 | − | 0.136355i | ||||
\(13\) | 2.17141 | − | 4.75473i | 0.602242 | − | 1.31873i | −0.325514 | − | 0.945537i | \(-0.605537\pi\) |
0.927756 | − | 0.373188i | \(-0.121735\pi\) | |||||||
\(14\) | 0.0809340 | + | 0.562908i | 0.0216305 | + | 0.150444i | ||||
\(15\) | −1.56123 | − | 1.80175i | −0.403108 | − | 0.465211i | ||||
\(16\) | 0.899001 | + | 1.96854i | 0.224750 | + | 0.492134i | ||||
\(17\) | 2.04310 | − | 1.31302i | 0.495525 | − | 0.318455i | −0.268899 | − | 0.963168i | \(-0.586660\pi\) |
0.764424 | + | 0.644714i | \(0.223023\pi\) | |||||||
\(18\) | −0.0809340 | + | 0.562908i | −0.0190763 | + | 0.132679i | ||||
\(19\) | −0.689053 | − | 0.442827i | −0.158080 | − | 0.101592i | 0.459209 | − | 0.888328i | \(-0.348133\pi\) |
−0.617289 | + | 0.786736i | \(0.711769\pi\) | |||||||
\(20\) | 2.61753 | − | 3.02079i | 0.585298 | − | 0.675470i | ||||
\(21\) | 0.959493 | + | 0.281733i | 0.209379 | + | 0.0614791i | ||||
\(22\) | 2.81496 | 0.600152 | ||||||||
\(23\) | 2.01324 | − | 4.35280i | 0.419790 | − | 0.907621i | ||||
\(24\) | −2.09086 | −0.426795 | ||||||||
\(25\) | −0.656061 | − | 0.192637i | −0.131212 | − | 0.0385274i | ||||
\(26\) | −1.94666 | + | 2.24656i | −0.381771 | + | 0.440588i | ||||
\(27\) | 0.841254 | + | 0.540641i | 0.161899 | + | 0.104046i | ||||
\(28\) | −0.238603 | + | 1.65952i | −0.0450917 | + | 0.313620i | ||||
\(29\) | 1.50603 | − | 0.967864i | 0.279662 | − | 0.179728i | −0.393289 | − | 0.919415i | \(-0.628663\pi\) |
0.672951 | + | 0.739687i | \(0.265026\pi\) | |||||||
\(30\) | 0.563223 | + | 1.23329i | 0.102830 | + | 0.225166i | ||||
\(31\) | −6.14851 | − | 7.09576i | −1.10431 | − | 1.27444i | −0.958491 | − | 0.285124i | \(-0.907965\pi\) |
−0.145815 | − | 0.989312i | \(-0.546580\pi\) | |||||||
\(32\) | −0.770270 | − | 5.35735i | −0.136166 | − | 0.947054i | ||||
\(33\) | 2.05624 | − | 4.50254i | 0.357945 | − | 0.783791i | ||||
\(34\) | −1.32521 | + | 0.389118i | −0.227272 | + | 0.0667331i | ||||
\(35\) | 2.28749 | − | 0.671668i | 0.386657 | − | 0.113533i | ||||
\(36\) | −0.696478 | + | 1.52507i | −0.116080 | + | 0.254179i | ||||
\(37\) | −1.31701 | − | 9.16000i | −0.216515 | − | 1.50589i | −0.750766 | − | 0.660569i | \(-0.770315\pi\) |
0.534251 | − | 0.845326i | \(-0.320594\pi\) | |||||||
\(38\) | 0.305039 | + | 0.352034i | 0.0494839 | + | 0.0571074i | ||||
\(39\) | 2.17141 | + | 4.75473i | 0.347704 | + | 0.761367i | ||||
\(40\) | −4.19343 | + | 2.69496i | −0.663040 | + | 0.426110i | ||||
\(41\) | 1.17064 | − | 8.14197i | 0.182823 | − | 1.27156i | −0.667224 | − | 0.744857i | \(-0.732518\pi\) |
0.850048 | − | 0.526706i | \(-0.176573\pi\) | |||||||
\(42\) | −0.478418 | − | 0.307461i | −0.0738215 | − | 0.0474422i | ||||
\(43\) | −1.32052 | + | 1.52396i | −0.201378 | + | 0.232402i | −0.847452 | − | 0.530872i | \(-0.821864\pi\) |
0.646074 | + | 0.763275i | \(0.276410\pi\) | |||||||
\(44\) | 7.96267 | + | 2.33805i | 1.20042 | + | 0.352475i | ||||
\(45\) | 2.38406 | 0.355395 | ||||||||
\(46\) | −1.79595 | + | 2.05259i | −0.264799 | + | 0.302637i | ||||
\(47\) | −1.45235 | −0.211847 | −0.105923 | − | 0.994374i | \(-0.533780\pi\) | ||||
−0.105923 | + | 0.994374i | \(0.533780\pi\) | |||||||
\(48\) | −2.07644 | − | 0.609698i | −0.299709 | − | 0.0880024i | ||||
\(49\) | −0.654861 | + | 0.755750i | −0.0935515 | + | 0.107964i | ||||
\(50\) | 0.327122 | + | 0.210229i | 0.0462621 | + | 0.0297308i | ||||
\(51\) | −0.345632 | + | 2.40392i | −0.0483981 | + | 0.336616i | ||||
\(52\) | −7.37246 | + | 4.73800i | −1.02238 | + | 0.657042i | ||||
\(53\) | 1.66340 | + | 3.64233i | 0.228485 | + | 0.500313i | 0.988801 | − | 0.149241i | \(-0.0476830\pi\) |
−0.760316 | + | 0.649554i | \(0.774956\pi\) | |||||||
\(54\) | −0.372417 | − | 0.429792i | −0.0506795 | − | 0.0584873i | ||||
\(55\) | −1.67942 | − | 11.6806i | −0.226453 | − | 1.57502i | ||||
\(56\) | 0.868575 | − | 1.90191i | 0.116068 | − | 0.254154i | ||||
\(57\) | 0.785900 | − | 0.230761i | 0.104095 | − | 0.0305651i | ||||
\(58\) | −0.976850 | + | 0.286829i | −0.128267 | + | 0.0376625i | ||||
\(59\) | −3.61224 | + | 7.90970i | −0.470273 | + | 1.02976i | 0.514751 | + | 0.857340i | \(0.327884\pi\) |
−0.985024 | + | 0.172415i | \(0.944843\pi\) | |||||||
\(60\) | 0.568844 | + | 3.95640i | 0.0734375 | + | 0.510769i | ||||
\(61\) | −2.09391 | − | 2.41650i | −0.268097 | − | 0.309401i | 0.605698 | − | 0.795695i | \(-0.292894\pi\) |
−0.873795 | + | 0.486294i | \(0.838349\pi\) | |||||||
\(62\) | 2.21811 | + | 4.85699i | 0.281701 | + | 0.616839i | ||||
\(63\) | −0.841254 | + | 0.540641i | −0.105988 | + | 0.0681143i | ||||
\(64\) | 0.177918 | − | 1.23744i | 0.0222397 | − | 0.154681i | ||||
\(65\) | 10.4835 | + | 6.73732i | 1.30031 | + | 0.835661i | ||||
\(66\) | −1.84341 | + | 2.12741i | −0.226908 | + | 0.261865i | ||||
\(67\) | 9.40036 | + | 2.76019i | 1.14844 | + | 0.337211i | 0.799929 | − | 0.600095i | \(-0.204870\pi\) |
0.348507 | + | 0.937306i | \(0.386689\pi\) | |||||||
\(68\) | −4.07182 | −0.493781 | ||||||||
\(69\) | 1.97123 | + | 4.37198i | 0.237308 | + | 0.526325i | ||||
\(70\) | −1.35581 | −0.162050 | ||||||||
\(71\) | 2.93278 | + | 0.861143i | 0.348057 | + | 0.102199i | 0.451088 | − | 0.892479i | \(-0.351036\pi\) |
−0.103031 | + | 0.994678i | \(0.532854\pi\) | |||||||
\(72\) | 1.36922 | − | 1.58017i | 0.161364 | − | 0.186224i | ||||
\(73\) | −10.1096 | − | 6.49705i | −1.18324 | − | 0.760422i | −0.207261 | − | 0.978286i | \(-0.566455\pi\) |
−0.975979 | + | 0.217864i | \(0.930091\pi\) | |||||||
\(74\) | −0.748979 | + | 5.20926i | −0.0870670 | + | 0.605564i | ||||
\(75\) | 0.575214 | − | 0.369668i | 0.0664200 | − | 0.0426855i | ||||
\(76\) | 0.570471 | + | 1.24916i | 0.0654375 | + | 0.143288i | ||||
\(77\) | 3.24146 | + | 3.74084i | 0.369399 | + | 0.426309i | ||||
\(78\) | −0.423050 | − | 2.94237i | −0.0479009 | − | 0.333158i | ||||
\(79\) | −0.292683 | + | 0.640887i | −0.0329294 | + | 0.0721054i | −0.925382 | − | 0.379036i | \(-0.876256\pi\) |
0.892453 | + | 0.451141i | \(0.148983\pi\) | |||||||
\(80\) | −4.95037 | + | 1.45356i | −0.553468 | + | 0.162513i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | −1.94328 | + | 4.25519i | −0.214600 | + | 0.469907i | ||||
\(83\) | 0.992741 | + | 6.90467i | 0.108967 | + | 0.757886i | 0.968896 | + | 0.247470i | \(0.0795992\pi\) |
−0.859928 | + | 0.510415i | \(0.829492\pi\) | |||||||
\(84\) | −1.09793 | − | 1.26708i | −0.119794 | − | 0.138250i | ||||
\(85\) | 2.40527 | + | 5.26680i | 0.260888 | + | 0.571265i | ||||
\(86\) | 0.964727 | − | 0.619993i | 0.104029 | − | 0.0668555i | ||||
\(87\) | −0.254774 | + | 1.77199i | −0.0273147 | + | 0.189978i | ||||
\(88\) | −8.70650 | − | 5.59533i | −0.928116 | − | 0.596464i | ||||
\(89\) | 2.45113 | − | 2.82876i | 0.259820 | − | 0.299848i | −0.610820 | − | 0.791770i | \(-0.709160\pi\) |
0.870639 | + | 0.491922i | \(0.163705\pi\) | |||||||
\(90\) | −1.30089 | − | 0.381975i | −0.137126 | − | 0.0402637i | ||||
\(91\) | −5.22710 | −0.547948 | ||||||||
\(92\) | −6.78505 | + | 4.31446i | −0.707390 | + | 0.449814i | ||||
\(93\) | 9.38904 | 0.973598 | ||||||||
\(94\) | 0.792489 | + | 0.232696i | 0.0817390 | + | 0.0240007i | ||||
\(95\) | 1.27877 | − | 1.47578i | 0.131199 | − | 0.151412i | ||||
\(96\) | 4.55323 | + | 2.92619i | 0.464713 | + | 0.298653i | ||||
\(97\) | −1.89424 | + | 13.1747i | −0.192331 | + | 1.33769i | 0.633487 | + | 0.773753i | \(0.281623\pi\) |
−0.825818 | + | 0.563937i | \(0.809286\pi\) | |||||||
\(98\) | 0.478418 | − | 0.307461i | 0.0483275 | − | 0.0310582i | ||||
\(99\) | 2.05624 | + | 4.50254i | 0.206660 | + | 0.452522i | ||||
\(100\) | 0.750718 | + | 0.866375i | 0.0750718 | + | 0.0866375i | ||||
\(101\) | −1.40712 | − | 9.78670i | −0.140013 | − | 0.973813i | −0.931789 | − | 0.363001i | \(-0.881752\pi\) |
0.791776 | − | 0.610812i | \(-0.209157\pi\) | |||||||
\(102\) | 0.573755 | − | 1.25635i | 0.0568102 | − | 0.124397i | ||||
\(103\) | 1.45897 | − | 0.428393i | 0.143757 | − | 0.0422108i | −0.209062 | − | 0.977902i | \(-0.567041\pi\) |
0.352819 | + | 0.935691i | \(0.385223\pi\) | |||||||
\(104\) | 10.4864 | − | 3.07909i | 1.02828 | − | 0.301930i | ||||
\(105\) | −0.990376 | + | 2.16862i | −0.0966508 | + | 0.211636i | ||||
\(106\) | −0.324074 | − | 2.25399i | −0.0314769 | − | 0.218926i | ||||
\(107\) | −9.09638 | − | 10.4978i | −0.879380 | − | 1.01486i | −0.999755 | − | 0.0221300i | \(-0.992955\pi\) |
0.120375 | − | 0.992728i | \(-0.461590\pi\) | |||||||
\(108\) | −0.696478 | − | 1.52507i | −0.0670186 | − | 0.146750i | ||||
\(109\) | −2.44573 | + | 1.57178i | −0.234259 | + | 0.150549i | −0.652504 | − | 0.757785i | \(-0.726282\pi\) |
0.418245 | + | 0.908334i | \(0.362645\pi\) | |||||||
\(110\) | −0.955081 | + | 6.64274i | −0.0910634 | + | 0.633360i | ||||
\(111\) | 7.78512 | + | 5.00320i | 0.738931 | + | 0.474882i | ||||
\(112\) | 1.41719 | − | 1.63552i | 0.133911 | − | 0.154542i | ||||
\(113\) | 7.81444 | + | 2.29453i | 0.735121 | + | 0.215851i | 0.627801 | − | 0.778374i | \(-0.283955\pi\) |
0.107319 | + | 0.994225i | \(0.465773\pi\) | |||||||
\(114\) | −0.465807 | −0.0436269 | ||||||||
\(115\) | 9.58865 | + | 6.22770i | 0.894146 | + | 0.580736i | ||||
\(116\) | −3.00145 | −0.278678 | ||||||||
\(117\) | −5.01536 | − | 1.47264i | −0.463670 | − | 0.136146i | ||||
\(118\) | 3.23835 | − | 3.73726i | 0.298114 | − | 0.344042i | ||||
\(119\) | −2.04310 | − | 1.31302i | −0.187291 | − | 0.120365i | ||||
\(120\) | 0.709403 | − | 4.93401i | 0.0647594 | − | 0.450411i | ||||
\(121\) | 11.3577 | − | 7.29918i | 1.03252 | − | 0.663562i | ||||
\(122\) | 0.755390 | + | 1.65407i | 0.0683898 | + | 0.149753i | ||||
\(123\) | 5.38669 | + | 6.21657i | 0.485701 | + | 0.560529i | ||||
\(124\) | 2.24025 | + | 15.5813i | 0.201180 | + | 1.39924i | ||||
\(125\) | −4.27470 | + | 9.36029i | −0.382341 | + | 0.837210i | ||||
\(126\) | 0.545660 | − | 0.160220i | 0.0486113 | − | 0.0142736i | ||||
\(127\) | −16.4138 | + | 4.81953i | −1.45649 | + | 0.427664i | −0.911682 | − | 0.410898i | \(-0.865215\pi\) |
−0.544807 | + | 0.838561i | \(0.683397\pi\) | |||||||
\(128\) | −4.79216 | + | 10.4934i | −0.423571 | + | 0.927492i | ||||
\(129\) | −0.286977 | − | 1.99597i | −0.0252669 | − | 0.175735i | ||||
\(130\) | −4.64096 | − | 5.35595i | −0.407039 | − | 0.469748i | ||||
\(131\) | −6.44759 | − | 14.1182i | −0.563328 | − | 1.23352i | −0.950274 | − | 0.311414i | \(-0.899197\pi\) |
0.386946 | − | 0.922102i | \(-0.373530\pi\) | |||||||
\(132\) | −6.98142 | + | 4.48669i | −0.607655 | + | 0.390516i | ||||
\(133\) | −0.116567 | + | 0.810742i | −0.0101076 | + | 0.0703002i | ||||
\(134\) | −4.68716 | − | 3.01226i | −0.404909 | − | 0.260219i | ||||
\(135\) | −1.56123 | + | 1.80175i | −0.134369 | + | 0.155070i | ||||
\(136\) | 4.87226 | + | 1.43062i | 0.417793 | + | 0.122675i | ||||
\(137\) | −15.9687 | −1.36430 | −0.682151 | − | 0.731211i | \(-0.738955\pi\) | ||||
−0.682151 | + | 0.731211i | \(0.738955\pi\) | |||||||
\(138\) | −0.375141 | − | 2.70145i | −0.0319342 | − | 0.229963i | ||||
\(139\) | 9.13217 | 0.774581 | 0.387290 | − | 0.921958i | \(-0.373411\pi\) | ||||
0.387290 | + | 0.921958i | \(0.373411\pi\) | |||||||
\(140\) | −3.83517 | − | 1.12611i | −0.324131 | − | 0.0951735i | ||||
\(141\) | 0.951086 | − | 1.09761i | 0.0800959 | − | 0.0924356i | ||||
\(142\) | −1.46233 | − | 0.939783i | −0.122716 | − | 0.0788649i | ||||
\(143\) | −3.68216 | + | 25.6100i | −0.307917 | + | 2.14161i | ||||
\(144\) | 1.82056 | − | 1.17000i | 0.151713 | − | 0.0975002i | ||||
\(145\) | 1.77299 | + | 3.88230i | 0.147239 | + | 0.322408i | ||||
\(146\) | 4.47545 | + | 5.16495i | 0.370391 | + | 0.427454i | ||||
\(147\) | −0.142315 | − | 0.989821i | −0.0117379 | − | 0.0816391i | ||||
\(148\) | −6.44535 | + | 14.1133i | −0.529804 | + | 1.16011i | ||||
\(149\) | 7.27805 | − | 2.13703i | 0.596241 | − | 0.175072i | 0.0303321 | − | 0.999540i | \(-0.490343\pi\) |
0.565909 | + | 0.824468i | \(0.308525\pi\) | |||||||
\(150\) | −0.373100 | + | 0.109552i | −0.0304635 | + | 0.00894488i | ||||
\(151\) | 2.72358 | − | 5.96381i | 0.221642 | − | 0.485328i | −0.765846 | − | 0.643024i | \(-0.777679\pi\) |
0.987488 | + | 0.157696i | \(0.0504066\pi\) | |||||||
\(152\) | −0.243726 | − | 1.69515i | −0.0197688 | − | 0.137495i | ||||
\(153\) | −1.59042 | − | 1.83544i | −0.128578 | − | 0.148387i | ||||
\(154\) | −1.16938 | − | 2.56058i | −0.0942311 | − | 0.206337i | ||||
\(155\) | 18.8307 | − | 12.1017i | 1.51252 | − | 0.972035i | ||||
\(156\) | 1.24720 | − | 8.67446i | 0.0998559 | − | 0.694513i | ||||
\(157\) | −7.56302 | − | 4.86046i | −0.603595 | − | 0.387907i | 0.202855 | − | 0.979209i | \(-0.434978\pi\) |
−0.806450 | + | 0.591302i | \(0.798614\pi\) | |||||||
\(158\) | 0.262389 | − | 0.302813i | 0.0208745 | − | 0.0240905i | ||||
\(159\) | −3.84198 | − | 1.12811i | −0.304689 | − | 0.0894648i | ||||
\(160\) | 12.9036 | 1.02012 | ||||||||
\(161\) | −4.79578 | − | 0.0230938i | −0.377960 | − | 0.00182005i | ||||
\(162\) | 0.568697 | 0.0446810 | ||||||||
\(163\) | 9.22177 | + | 2.70776i | 0.722305 | + | 0.212088i | 0.622166 | − | 0.782886i | \(-0.286253\pi\) |
0.100139 | + | 0.994973i | \(0.468071\pi\) | |||||||
\(164\) | −9.03124 | + | 10.4226i | −0.705221 | + | 0.813868i | ||||
\(165\) | 9.92742 | + | 6.37997i | 0.772849 | + | 0.496680i | ||||
\(166\) | 0.564568 | − | 3.92666i | 0.0438190 | − | 0.304768i | ||||
\(167\) | 5.20345 | − | 3.34405i | 0.402655 | − | 0.258771i | −0.323603 | − | 0.946193i | \(-0.604894\pi\) |
0.726258 | + | 0.687422i | \(0.241258\pi\) | |||||||
\(168\) | 0.868575 | + | 1.90191i | 0.0670120 | + | 0.146736i | ||||
\(169\) | −9.37926 | − | 10.8242i | −0.721481 | − | 0.832634i | ||||
\(170\) | −0.468610 | − | 3.25926i | −0.0359408 | − | 0.249974i | ||||
\(171\) | −0.340258 | + | 0.745060i | −0.0260202 | + | 0.0569762i | ||||
\(172\) | 3.24388 | − | 0.952488i | 0.247343 | − | 0.0726265i | ||||
\(173\) | −9.09274 | + | 2.66987i | −0.691308 | + | 0.202986i | −0.608470 | − | 0.793577i | \(-0.708217\pi\) |
−0.0828378 | + | 0.996563i | \(0.526398\pi\) | |||||||
\(174\) | 0.422930 | − | 0.926087i | 0.0320622 | − | 0.0702065i | ||||
\(175\) | 0.0973090 | + | 0.676799i | 0.00735587 | + | 0.0511612i | ||||
\(176\) | −7.01485 | − | 8.09557i | −0.528764 | − | 0.610227i | ||||
\(177\) | −3.61224 | − | 7.90970i | −0.271512 | − | 0.594529i | ||||
\(178\) | −1.79071 | + | 1.15082i | −0.134219 | + | 0.0862576i | ||||
\(179\) | −2.60165 | + | 18.0949i | −0.194456 | + | 1.35247i | 0.625579 | + | 0.780161i | \(0.284863\pi\) |
−0.820035 | + | 0.572313i | \(0.806046\pi\) | |||||||
\(180\) | −3.36256 | − | 2.16099i | −0.250630 | − | 0.161070i | ||||
\(181\) | 14.8554 | − | 17.1440i | 1.10419 | − | 1.27430i | 0.145653 | − | 0.989336i | \(-0.453472\pi\) |
0.958537 | − | 0.284967i | \(-0.0919828\pi\) | |||||||
\(182\) | 2.85222 | + | 0.837487i | 0.211421 | + | 0.0620787i | ||||
\(183\) | 3.19749 | 0.236365 | ||||||||
\(184\) | 9.63473 | − | 2.77869i | 0.710282 | − | 0.204848i | ||||
\(185\) | 22.0626 | 1.62207 | ||||||||
\(186\) | −5.12323 | − | 1.50431i | −0.375653 | − | 0.110302i | ||||
\(187\) | −7.87234 | + | 9.08517i | −0.575683 | + | 0.664373i | ||||
\(188\) | 2.04844 | + | 1.31645i | 0.149398 | + | 0.0960121i | ||||
\(189\) | 0.142315 | − | 0.989821i | 0.0103519 | − | 0.0719989i | ||||
\(190\) | −0.934224 | + | 0.600389i | −0.0677757 | + | 0.0435568i | ||||
\(191\) | −3.34329 | − | 7.32078i | −0.241912 | − | 0.529713i | 0.749263 | − | 0.662272i | \(-0.230408\pi\) |
−0.991175 | + | 0.132559i | \(0.957681\pi\) | |||||||
\(192\) | 0.818687 | + | 0.944815i | 0.0590836 | + | 0.0681862i | ||||
\(193\) | −2.39554 | − | 16.6613i | −0.172434 | − | 1.19931i | −0.873721 | − | 0.486428i | \(-0.838300\pi\) |
0.701286 | − | 0.712880i | \(-0.252610\pi\) | |||||||
\(194\) | 3.14447 | − | 6.88543i | 0.225760 | − | 0.494345i | ||||
\(195\) | −11.9569 | + | 3.51087i | −0.856254 | + | 0.251419i | ||||
\(196\) | 1.60867 | − | 0.472348i | 0.114905 | − | 0.0337392i | ||||
\(197\) | −0.0164543 | + | 0.0360298i | −0.00117232 | + | 0.00256702i | −0.910217 | − | 0.414131i | \(-0.864086\pi\) |
0.909045 | + | 0.416698i | \(0.136813\pi\) | |||||||
\(198\) | −0.400611 | − | 2.78631i | −0.0284702 | − | 0.198014i | ||||
\(199\) | −7.21043 | − | 8.32128i | −0.511134 | − | 0.589880i | 0.440255 | − | 0.897873i | \(-0.354888\pi\) |
−0.951389 | + | 0.307993i | \(0.900343\pi\) | |||||||
\(200\) | −0.593895 | − | 1.30045i | −0.0419947 | − | 0.0919557i | ||||
\(201\) | −8.24194 | + | 5.29677i | −0.581342 | + | 0.373605i | ||||
\(202\) | −0.800222 | + | 5.56566i | −0.0563034 | + | 0.391599i | ||||
\(203\) | −1.50603 | − | 0.967864i | −0.105702 | − | 0.0679308i | ||||
\(204\) | 2.66648 | − | 3.07728i | 0.186691 | − | 0.215452i | ||||
\(205\) | 18.8162 | + | 5.52494i | 1.31418 | + | 0.385879i | ||||
\(206\) | −0.864741 | −0.0602493 | ||||||||
\(207\) | −4.59501 | − | 1.37328i | −0.319375 | − | 0.0954499i | ||||
\(208\) | 11.3120 | 0.784344 | ||||||||
\(209\) | 3.89009 | + | 1.14223i | 0.269083 | + | 0.0790099i | ||||
\(210\) | 0.887866 | − | 1.02465i | 0.0612686 | − | 0.0707077i | ||||
\(211\) | 19.3934 | + | 12.4634i | 1.33510 | + | 0.858015i | 0.996555 | − | 0.0829357i | \(-0.0264296\pi\) |
0.338543 | + | 0.940951i | \(0.390066\pi\) | |||||||
\(212\) | 0.955409 | − | 6.64502i | 0.0656178 | − | 0.456382i | ||||
\(213\) | −2.57137 | + | 1.65252i | −0.176188 | + | 0.113229i | ||||
\(214\) | 3.28157 | + | 7.18565i | 0.224324 | + | 0.491201i | ||||
\(215\) | −3.14821 | − | 3.63323i | −0.214706 | − | 0.247784i | ||||
\(216\) | 0.297561 | + | 2.06958i | 0.0202464 | + | 0.140817i | ||||
\(217\) | −3.90035 | + | 8.54057i | −0.264773 | + | 0.579772i | ||||
\(218\) | 1.58637 | − | 0.465801i | 0.107443 | − | 0.0315480i | ||||
\(219\) | 11.5305 | − | 3.38567i | 0.779161 | − | 0.228782i | ||||
\(220\) | −8.21896 | + | 17.9970i | −0.554122 | + | 1.21336i | ||||
\(221\) | −1.80665 | − | 12.5655i | −0.121528 | − | 0.845249i | ||||
\(222\) | −3.44642 | − | 3.97738i | −0.231309 | − | 0.266944i | ||||
\(223\) | −10.7330 | − | 23.5020i | −0.718735 | − | 1.57381i | −0.815669 | − | 0.578519i | \(-0.803631\pi\) |
0.0969342 | − | 0.995291i | \(-0.469096\pi\) | |||||||
\(224\) | −4.55323 | + | 2.92619i | −0.304226 | + | 0.195514i | ||||
\(225\) | −0.0973090 | + | 0.676799i | −0.00648726 | + | 0.0451199i | ||||
\(226\) | −3.89640 | − | 2.50406i | −0.259185 | − | 0.166568i | ||||
\(227\) | −15.0179 | + | 17.3315i | −0.996771 | + | 1.15034i | −0.00814114 | + | 0.999967i | \(0.502591\pi\) |
−0.988630 | + | 0.150368i | \(0.951954\pi\) | |||||||
\(228\) | −1.31763 | − | 0.386891i | −0.0872621 | − | 0.0256225i | ||||
\(229\) | −14.9561 | −0.988327 | −0.494164 | − | 0.869369i | \(-0.664526\pi\) | ||||
−0.494164 | + | 0.869369i | \(0.664526\pi\) | |||||||
\(230\) | −4.23434 | − | 4.93451i | −0.279204 | − | 0.325372i | ||||
\(231\) | −4.94985 | −0.325676 | ||||||||
\(232\) | 3.59147 | + | 1.05455i | 0.235792 | + | 0.0692347i | ||||
\(233\) | 12.5518 | − | 14.4856i | 0.822299 | − | 0.948984i | −0.177081 | − | 0.984196i | \(-0.556665\pi\) |
0.999380 | + | 0.0352127i | \(0.0112109\pi\) | |||||||
\(234\) | 2.50074 | + | 1.60713i | 0.163478 | + | 0.105061i | ||||
\(235\) | 0.492764 | − | 3.42725i | 0.0321444 | − | 0.223569i | ||||
\(236\) | 12.2644 | − | 7.88186i | 0.798345 | − | 0.513065i | ||||
\(237\) | −0.292683 | − | 0.640887i | −0.0190118 | − | 0.0416301i | ||||
\(238\) | 0.904467 | + | 1.04381i | 0.0586279 | + | 0.0676602i | ||||
\(239\) | −2.64093 | − | 18.3681i | −0.170828 | − | 1.18813i | −0.877140 | − | 0.480234i | \(-0.840552\pi\) |
0.706313 | − | 0.707900i | \(-0.250357\pi\) | |||||||
\(240\) | 2.14327 | − | 4.69312i | 0.138348 | − | 0.302939i | ||||
\(241\) | 21.4460 | − | 6.29710i | 1.38146 | − | 0.405632i | 0.495180 | − | 0.868790i | \(-0.335102\pi\) |
0.886275 | + | 0.463159i | \(0.153284\pi\) | |||||||
\(242\) | −7.36695 | + | 2.16313i | −0.473565 | + | 0.139051i | ||||
\(243\) | 0.415415 | − | 0.909632i | 0.0266489 | − | 0.0583529i | ||||
\(244\) | 0.762929 | + | 5.30629i | 0.0488415 | + | 0.339700i | ||||
\(245\) | −1.56123 | − | 1.80175i | −0.0997433 | − | 0.115110i | ||||
\(246\) | −1.94328 | − | 4.25519i | −0.123899 | − | 0.271301i | ||||
\(247\) | −3.60175 | + | 2.31470i | −0.229174 | + | 0.147281i | ||||
\(248\) | 2.79381 | − | 19.4314i | 0.177407 | − | 1.23389i | ||||
\(249\) | −5.86831 | − | 3.77133i | −0.371889 | − | 0.238998i | ||||
\(250\) | 3.83224 | − | 4.42265i | 0.242372 | − | 0.279713i | ||||
\(251\) | −28.2004 | − | 8.28037i | −1.77999 | − | 0.522652i | −0.784725 | − | 0.619844i | \(-0.787196\pi\) |
−0.995266 | + | 0.0971921i | \(0.969014\pi\) | |||||||
\(252\) | 1.67658 | 0.105615 | ||||||||
\(253\) | −3.49147 | + | 23.4805i | −0.219507 | + | 1.47620i | ||||
\(254\) | 9.72854 | 0.610423 | ||||||||
\(255\) | −5.55550 | − | 1.63124i | −0.347899 | − | 0.102152i | ||||
\(256\) | 2.65877 | − | 3.06839i | 0.166173 | − | 0.191774i | ||||
\(257\) | −4.68591 | − | 3.01145i | −0.292299 | − | 0.187849i | 0.386270 | − | 0.922386i | \(-0.373763\pi\) |
−0.678569 | + | 0.734537i | \(0.737400\pi\) | |||||||
\(258\) | −0.163203 | + | 1.13510i | −0.0101606 | + | 0.0706683i | ||||
\(259\) | −7.78512 | + | 5.00320i | −0.483744 | + | 0.310883i | ||||
\(260\) | −8.67932 | − | 19.0051i | −0.538269 | − | 1.17864i | ||||
\(261\) | −1.17234 | − | 1.35296i | −0.0725662 | − | 0.0837458i | ||||
\(262\) | 1.25616 | + | 8.73680i | 0.0776060 | + | 0.539761i | ||||
\(263\) | 0.418048 | − | 0.915398i | 0.0257780 | − | 0.0564459i | −0.896305 | − | 0.443438i | \(-0.853759\pi\) |
0.922083 | + | 0.386992i | \(0.126486\pi\) | |||||||
\(264\) | 9.93021 | − | 2.91577i | 0.611162 | − | 0.179453i | ||||
\(265\) | −9.15953 | + | 2.68948i | −0.562666 | + | 0.165214i | ||||
\(266\) | 0.193503 | − | 0.423713i | 0.0118645 | − | 0.0259795i | ||||
\(267\) | 0.532682 | + | 3.70488i | 0.0325996 | + | 0.226735i | ||||
\(268\) | −10.7566 | − | 12.4138i | −0.657067 | − | 0.758295i | ||||
\(269\) | 4.75213 | + | 10.4057i | 0.289743 | + | 0.634448i | 0.997397 | − | 0.0721112i | \(-0.0229736\pi\) |
−0.707654 | + | 0.706559i | \(0.750246\pi\) | |||||||
\(270\) | 1.14058 | − | 0.733006i | 0.0694134 | − | 0.0446093i | ||||
\(271\) | 0.822432 | − | 5.72014i | 0.0499592 | − | 0.347474i | −0.949475 | − | 0.313842i | \(-0.898384\pi\) |
0.999434 | − | 0.0336315i | \(-0.0107073\pi\) | |||||||
\(272\) | 4.42148 | + | 2.84152i | 0.268092 | + | 0.172292i | ||||
\(273\) | 3.42302 | − | 3.95037i | 0.207171 | − | 0.239088i | ||||
\(274\) | 8.71351 | + | 2.55852i | 0.526402 | + | 0.154566i | ||||
\(275\) | 3.38450 | 0.204093 | ||||||||
\(276\) | 1.18261 | − | 7.95317i | 0.0711848 | − | 0.478725i | ||||
\(277\) | 29.4125 | 1.76723 | 0.883614 | − | 0.468217i | \(-0.155103\pi\) | ||||
0.883614 | + | 0.468217i | \(0.155103\pi\) | |||||||
\(278\) | −4.98306 | − | 1.46316i | −0.298864 | − | 0.0877545i | ||||
\(279\) | −6.14851 | + | 7.09576i | −0.368102 | + | 0.424812i | ||||
\(280\) | 4.19343 | + | 2.69496i | 0.250606 | + | 0.161054i | ||||
\(281\) | 1.76735 | − | 12.2922i | 0.105432 | − | 0.733293i | −0.866695 | − | 0.498838i | \(-0.833760\pi\) |
0.972127 | − | 0.234455i | \(-0.0753305\pi\) | |||||||
\(282\) | −0.694830 | + | 0.446540i | −0.0413765 | + | 0.0265911i | ||||
\(283\) | −11.3336 | − | 24.8172i | −0.673714 | − | 1.47523i | −0.869169 | − | 0.494516i | \(-0.835345\pi\) |
0.195454 | − | 0.980713i | \(-0.437382\pi\) | |||||||
\(284\) | −3.35593 | − | 3.87295i | −0.199138 | − | 0.229817i | ||||
\(285\) | 0.277903 | + | 1.93286i | 0.0164616 | + | 0.114493i | ||||
\(286\) | 6.11244 | − | 13.3844i | 0.361436 | − | 0.791435i | ||||
\(287\) | −7.89250 | + | 2.31745i | −0.465880 | + | 0.136795i | ||||
\(288\) | −5.19320 | + | 1.52486i | −0.306012 | + | 0.0898533i | ||||
\(289\) | −4.61181 | + | 10.0985i | −0.271283 | + | 0.594027i | ||||
\(290\) | −0.345425 | − | 2.40249i | −0.0202841 | − | 0.141079i | ||||
\(291\) | −8.71633 | − | 10.0592i | −0.510960 | − | 0.589679i | ||||
\(292\) | 8.36980 | + | 18.3273i | 0.489805 | + | 1.07252i | ||||
\(293\) | −2.44262 | + | 1.56978i | −0.142700 | + | 0.0917074i | −0.610043 | − | 0.792369i | \(-0.708848\pi\) |
0.467343 | + | 0.884076i | \(0.345211\pi\) | |||||||
\(294\) | −0.0809340 | + | 0.562908i | −0.00472016 | + | 0.0328295i | ||||
\(295\) | −17.4397 | − | 11.2078i | −1.01538 | − | 0.652544i | ||||
\(296\) | 12.6711 | − | 14.6232i | 0.736490 | − | 0.849955i | ||||
\(297\) | −4.74934 | − | 1.39453i | −0.275585 | − | 0.0809190i | ||||
\(298\) | −4.31374 | −0.249888 | ||||||||
\(299\) | −16.3248 | − | 19.0242i | −0.944088 | − | 1.10020i | ||||
\(300\) | −1.14638 | −0.0661862 | ||||||||
\(301\) | 1.93481 | + | 0.568112i | 0.111521 | + | 0.0327454i | ||||
\(302\) | −2.44168 | + | 2.81784i | −0.140503 | + | 0.162149i | ||||
\(303\) | 8.31776 | + | 5.34550i | 0.477843 | + | 0.307091i | ||||
\(304\) | 0.252263 | − | 1.75453i | 0.0144683 | − | 0.100629i | ||||
\(305\) | 6.41288 | − | 4.12131i | 0.367201 | − | 0.235985i | ||||
\(306\) | 0.573755 | + | 1.25635i | 0.0327994 | + | 0.0718206i | ||||
\(307\) | −17.8698 | − | 20.6228i | −1.01988 | − | 1.17700i | −0.984095 | − | 0.177645i | \(-0.943152\pi\) |
−0.0357860 | − | 0.999359i | \(-0.511393\pi\) | |||||||
\(308\) | −1.18105 | − | 8.21436i | −0.0672964 | − | 0.468057i | ||||
\(309\) | −0.631666 | + | 1.38316i | −0.0359342 | + | 0.0786850i | ||||
\(310\) | −12.2141 | + | 3.58638i | −0.693714 | + | 0.203693i | ||||
\(311\) | −15.8394 | + | 4.65088i | −0.898172 | + | 0.263727i | −0.698054 | − | 0.716045i | \(-0.745951\pi\) |
−0.200117 | + | 0.979772i | \(0.564132\pi\) | |||||||
\(312\) | −4.54012 | + | 9.94149i | −0.257034 | + | 0.562826i | ||||
\(313\) | 3.37200 | + | 23.4528i | 0.190597 | + | 1.32563i | 0.830433 | + | 0.557119i | \(0.188093\pi\) |
−0.639836 | + | 0.768511i | \(0.720998\pi\) | |||||||
\(314\) | 3.34810 | + | 3.86391i | 0.188944 | + | 0.218053i | ||||
\(315\) | −0.990376 | − | 2.16862i | −0.0558014 | − | 0.122188i | ||||
\(316\) | 0.993729 | − | 0.638631i | 0.0559016 | − | 0.0359258i | ||||
\(317\) | −3.26993 | + | 22.7429i | −0.183657 | + | 1.27737i | 0.664366 | + | 0.747407i | \(0.268702\pi\) |
−0.848024 | + | 0.529959i | \(0.822207\pi\) | |||||||
\(318\) | 1.91567 | + | 1.23113i | 0.107426 | + | 0.0690382i | ||||
\(319\) | −5.80292 | + | 6.69692i | −0.324901 | + | 0.374956i | ||||
\(320\) | 2.85975 | + | 0.839699i | 0.159865 | + | 0.0469406i | ||||
\(321\) | 13.8906 | 0.775295 | ||||||||
\(322\) | 2.61316 | + | 0.780982i | 0.145626 | + | 0.0435224i | ||||
\(323\) | −1.98925 | −0.110685 | ||||||||
\(324\) | 1.60867 | + | 0.472348i | 0.0893706 | + | 0.0262416i | ||||
\(325\) | −2.34052 | + | 2.70110i | −0.129829 | + | 0.149830i | ||||
\(326\) | −4.59812 | − | 2.95503i | −0.254666 | − | 0.163664i | ||||
\(327\) | 0.413745 | − | 2.87766i | 0.0228801 | − | 0.159135i | ||||
\(328\) | 14.4685 | − | 9.29837i | 0.798892 | − | 0.513417i | ||||
\(329\) | 0.603327 | + | 1.32110i | 0.0332625 | + | 0.0728347i | ||||
\(330\) | −4.39480 | − | 5.07187i | −0.241926 | − | 0.279197i | ||||
\(331\) | 1.86692 | + | 12.9847i | 0.102615 | + | 0.713703i | 0.974565 | + | 0.224107i | \(0.0719465\pi\) |
−0.871950 | + | 0.489596i | \(0.837144\pi\) | |||||||
\(332\) | 4.85840 | − | 10.6384i | 0.266639 | − | 0.583859i | ||||
\(333\) | −8.87934 | + | 2.60721i | −0.486585 | + | 0.142874i | ||||
\(334\) | −3.37510 | + | 0.991020i | −0.184677 | + | 0.0542262i | ||||
\(335\) | −9.70292 | + | 21.2464i | −0.530127 | + | 1.16082i | ||||
\(336\) | 0.307984 | + | 2.14208i | 0.0168019 | + | 0.116860i | ||||
\(337\) | 11.2688 | + | 13.0048i | 0.613848 | + | 0.708418i | 0.974527 | − | 0.224272i | \(-0.0720003\pi\) |
−0.360679 | + | 0.932690i | \(0.617455\pi\) | |||||||
\(338\) | 3.38363 | + | 7.40911i | 0.184045 | + | 0.403002i | ||||
\(339\) | −6.85146 | + | 4.40316i | −0.372120 | + | 0.239147i | ||||
\(340\) | 1.38152 | − | 9.60867i | 0.0749234 | − | 0.521103i | ||||
\(341\) | 39.0967 | + | 25.1259i | 2.11720 | + | 1.36064i | ||||
\(342\) | 0.305039 | − | 0.352034i | 0.0164946 | − | 0.0190358i | ||||
\(343\) | 0.959493 | + | 0.281733i | 0.0518078 | + | 0.0152121i | ||||
\(344\) | −4.21621 | −0.227323 | ||||||||
\(345\) | −10.9858 | + | 3.16834i | −0.591456 | + | 0.170578i | ||||
\(346\) | 5.38931 | 0.289731 | ||||||||
\(347\) | 27.0326 | + | 7.93749i | 1.45119 | + | 0.426107i | 0.909934 | − | 0.414754i | \(-0.136132\pi\) |
0.541252 | + | 0.840860i | \(0.317950\pi\) | |||||||
\(348\) | 1.96553 | − | 2.26834i | 0.105364 | − | 0.121596i | ||||
\(349\) | 15.9490 | + | 10.2498i | 0.853733 | + | 0.548661i | 0.892737 | − | 0.450578i | \(-0.148782\pi\) |
−0.0390041 | + | 0.999239i | \(0.512419\pi\) | |||||||
\(350\) | 0.0553393 | − | 0.384893i | 0.00295801 | − | 0.0205734i | ||||
\(351\) | 4.39731 | − | 2.82598i | 0.234711 | − | 0.150840i | ||||
\(352\) | 11.1293 | + | 24.3697i | 0.593192 | + | 1.29891i | ||||
\(353\) | −0.112896 | − | 0.130289i | −0.00600883 | − | 0.00693456i | 0.752737 | − | 0.658321i | \(-0.228733\pi\) |
−0.758746 | + | 0.651387i | \(0.774188\pi\) | |||||||
\(354\) | 0.703761 | + | 4.89476i | 0.0374045 | + | 0.260154i | ||||
\(355\) | −3.02718 | + | 6.62860i | −0.160666 | + | 0.351810i | ||||
\(356\) | −6.02123 | + | 1.76799i | −0.319124 | + | 0.0937034i | ||||
\(357\) | 2.33026 | − | 0.684227i | 0.123331 | − | 0.0362131i | ||||
\(358\) | 4.31878 | − | 9.45682i | 0.228255 | − | 0.499808i | ||||
\(359\) | 1.67464 | + | 11.6474i | 0.0883842 | + | 0.614726i | 0.985082 | + | 0.172083i | \(0.0550498\pi\) |
−0.896698 | + | 0.442642i | \(0.854041\pi\) | |||||||
\(360\) | 3.26431 | + | 3.76722i | 0.172044 | + | 0.198550i | ||||
\(361\) | −7.61419 | − | 16.6727i | −0.400747 | − | 0.877513i | ||||
\(362\) | −10.8528 | + | 6.97467i | −0.570410 | + | 0.366580i | ||||
\(363\) | −1.92139 | + | 13.3636i | −0.100847 | + | 0.701405i | ||||
\(364\) | 7.37246 | + | 4.73800i | 0.386422 | + | 0.248338i | ||||
\(365\) | 18.7618 | − | 21.6523i | 0.982037 | − | 1.13333i | ||||
\(366\) | −1.74474 | − | 0.512302i | −0.0911991 | − | 0.0267785i | ||||
\(367\) | 30.4506 | 1.58951 | 0.794753 | − | 0.606933i | \(-0.207600\pi\) | ||||
0.794753 | + | 0.606933i | \(0.207600\pi\) | |||||||
\(368\) | 10.3786 | + | 0.0499773i | 0.541019 | + | 0.00260525i | ||||
\(369\) | −8.22570 | −0.428213 | ||||||||
\(370\) | −12.0387 | − | 3.53488i | −0.625861 | − | 0.183769i | ||||
\(371\) | 2.62218 | − | 3.02616i | 0.136137 | − | 0.157110i | ||||
\(372\) | −13.2426 | − | 8.51050i | −0.686597 | − | 0.441249i | ||||
\(373\) | −4.04456 | + | 28.1306i | −0.209420 | + | 1.45654i | 0.565638 | + | 0.824654i | \(0.308630\pi\) |
−0.775057 | + | 0.631891i | \(0.782279\pi\) | |||||||
\(374\) | 5.75125 | − | 3.69611i | 0.297390 | − | 0.191121i | ||||
\(375\) | −4.27470 | − | 9.36029i | −0.220745 | − | 0.483363i | ||||
\(376\) | −1.98859 | − | 2.29495i | −0.102554 | − | 0.118353i | ||||
\(377\) | −1.33173 | − | 9.26239i | −0.0685876 | − | 0.477037i | ||||
\(378\) | −0.236245 | + | 0.517305i | −0.0121511 | + | 0.0266073i | ||||
\(379\) | 28.3406 | − | 8.32156i | 1.45576 | − | 0.427450i | 0.544318 | − | 0.838879i | \(-0.316788\pi\) |
0.911442 | + | 0.411429i | \(0.134970\pi\) | |||||||
\(380\) | −3.14131 | + | 0.922372i | −0.161146 | + | 0.0473167i | ||||
\(381\) | 7.10640 | − | 15.5608i | 0.364072 | − | 0.797206i | ||||
\(382\) | 0.651362 | + | 4.53032i | 0.0333266 | + | 0.231792i | ||||
\(383\) | 7.31367 | + | 8.44043i | 0.373711 | + | 0.431286i | 0.911187 | − | 0.411994i | \(-0.135167\pi\) |
−0.537475 | + | 0.843279i | \(0.680622\pi\) | |||||||
\(384\) | −4.79216 | − | 10.4934i | −0.244549 | − | 0.535488i | ||||
\(385\) | −9.92742 | + | 6.37997i | −0.505948 | + | 0.325153i | ||||
\(386\) | −1.36233 | + | 9.47523i | −0.0693409 | + | 0.482277i | ||||
\(387\) | 1.69638 | + | 1.09020i | 0.0862320 | + | 0.0554179i | ||||
\(388\) | 14.6137 | − | 16.8651i | 0.741896 | − | 0.856193i | ||||
\(389\) | 27.0917 | + | 7.95484i | 1.37360 | + | 0.403326i | 0.883538 | − | 0.468360i | \(-0.155155\pi\) |
0.490065 | + | 0.871686i | \(0.336973\pi\) | |||||||
\(390\) | 7.08694 | 0.358861 | ||||||||
\(391\) | −1.60206 | − | 11.5366i | −0.0810195 | − | 0.583433i | ||||
\(392\) | −2.09086 | −0.105604 | ||||||||
\(393\) | 14.8921 | + | 4.37272i | 0.751209 | + | 0.220575i | ||||
\(394\) | 0.0147511 | − | 0.0170237i | 0.000743152 | − | 0.000857643i | ||||
\(395\) | −1.41306 | − | 0.908118i | −0.0710987 | − | 0.0456924i | ||||
\(396\) | 1.18105 | − | 8.21436i | 0.0593498 | − | 0.412787i | ||||
\(397\) | 5.38312 | − | 3.45952i | 0.270171 | − | 0.173628i | −0.398540 | − | 0.917151i | \(-0.630483\pi\) |
0.668711 | + | 0.743523i | \(0.266847\pi\) | |||||||
\(398\) | 2.60121 | + | 5.69585i | 0.130387 | + | 0.285507i | ||||
\(399\) | −0.536383 | − | 0.619019i | −0.0268527 | − | 0.0309897i | ||||
\(400\) | −0.210587 | − | 1.46466i | −0.0105293 | − | 0.0732331i | ||||
\(401\) | 10.7251 | − | 23.4846i | 0.535584 | − | 1.17277i | −0.427611 | − | 0.903963i | \(-0.640645\pi\) |
0.963195 | − | 0.268803i | \(-0.0866281\pi\) | |||||||
\(402\) | 5.34595 | − | 1.56971i | 0.266632 | − | 0.0782901i | ||||
\(403\) | −47.0894 | + | 13.8267i | −2.34569 | + | 0.688757i | ||||
\(404\) | −6.88632 | + | 15.0789i | −0.342607 | + | 0.750205i | ||||
\(405\) | −0.339288 | − | 2.35980i | −0.0168593 | − | 0.117259i | ||||
\(406\) | 0.666707 | + | 0.769421i | 0.0330881 | + | 0.0381857i | ||||
\(407\) | 19.0289 | + | 41.6674i | 0.943225 | + | 2.06537i | ||||
\(408\) | −4.27184 | + | 2.74535i | −0.211488 | + | 0.135915i | ||||
\(409\) | 3.24560 | − | 22.5737i | 0.160485 | − | 1.11620i | −0.737238 | − | 0.675634i | \(-0.763870\pi\) |
0.897722 | − | 0.440562i | \(-0.145221\pi\) | |||||||
\(410\) | −9.38206 | − | 6.02948i | −0.463347 | − | 0.297775i | ||||
\(411\) | 10.4573 | − | 12.0684i | 0.515821 | − | 0.595289i | ||||
\(412\) | −2.44609 | − | 0.718237i | −0.120510 | − | 0.0353850i | ||||
\(413\) | 8.69549 | 0.427877 | ||||||||
\(414\) | 2.28729 | + | 1.48556i | 0.112414 | + | 0.0730113i | ||||
\(415\) | −16.6304 | −0.816356 | ||||||||
\(416\) | −27.1453 | − | 7.97059i | −1.33091 | − | 0.390790i | ||||
\(417\) | −5.98030 | + | 6.90163i | −0.292857 | + | 0.337974i | ||||
\(418\) | −1.93966 | − | 1.24654i | −0.0948717 | − | 0.0609704i | ||||
\(419\) | −2.63137 | + | 18.3016i | −0.128551 | + | 0.894091i | 0.818842 | + | 0.574019i | \(0.194616\pi\) |
−0.947393 | + | 0.320072i | \(0.896293\pi\) | |||||||
\(420\) | 3.36256 | − | 2.16099i | 0.164076 | − | 0.105445i | ||||
\(421\) | 10.3420 | + | 22.6458i | 0.504038 | + | 1.10369i | 0.975136 | + | 0.221608i | \(0.0711306\pi\) |
−0.471098 | + | 0.882081i | \(0.656142\pi\) | |||||||
\(422\) | −8.58533 | − | 9.90800i | −0.417927 | − | 0.482314i | ||||
\(423\) | 0.206691 | + | 1.43757i | 0.0100496 | + | 0.0698968i | ||||
\(424\) | −3.47793 | + | 7.61561i | −0.168903 | + | 0.369847i | ||||
\(425\) | −1.59334 | + | 0.467846i | −0.0772882 | + | 0.0226939i | ||||
\(426\) | 1.66786 | − | 0.489729i | 0.0808083 | − | 0.0237275i | ||||
\(427\) | −1.32828 | + | 2.90853i | −0.0642801 | + | 0.140754i | ||||
\(428\) | 3.31432 | + | 23.0516i | 0.160204 | + | 1.11424i | ||||
\(429\) | −16.9434 | − | 19.5537i | −0.818036 | − | 0.944064i | ||||
\(430\) | 1.13574 | + | 2.48692i | 0.0547701 | + | 0.119930i | ||||
\(431\) | −19.1652 | + | 12.3167i | −0.923155 | + | 0.593276i | −0.913571 | − | 0.406678i | \(-0.866687\pi\) |
−0.00958376 | + | 0.999954i | \(0.503051\pi\) | |||||||
\(432\) | −0.307984 | + | 2.14208i | −0.0148179 | + | 0.103061i | ||||
\(433\) | 5.90615 | + | 3.79565i | 0.283832 | + | 0.182407i | 0.674808 | − | 0.737993i | \(-0.264226\pi\) |
−0.390977 | + | 0.920401i | \(0.627863\pi\) | |||||||
\(434\) | 3.49664 | − | 4.03534i | 0.167844 | − | 0.193702i | ||||
\(435\) | −4.09511 | − | 1.20243i | −0.196345 | − | 0.0576522i | ||||
\(436\) | 4.87425 | 0.233434 | ||||||||
\(437\) | −3.31477 | + | 2.10779i | −0.158567 | + | 0.100829i | ||||
\(438\) | −6.83420 | −0.326551 | ||||||||
\(439\) | −19.8940 | − | 5.84141i | −0.949489 | − | 0.278795i | −0.229915 | − | 0.973211i | \(-0.573845\pi\) |
−0.719574 | + | 0.694416i | \(0.755663\pi\) | |||||||
\(440\) | 16.1578 | − | 18.6472i | 0.770295 | − | 0.888968i | ||||
\(441\) | 0.841254 | + | 0.540641i | 0.0400597 | + | 0.0257448i | ||||
\(442\) | −1.02744 | + | 7.14597i | −0.0488701 | + | 0.339899i | ||||
\(443\) | −31.6818 | + | 20.3606i | −1.50525 | + | 0.967363i | −0.511076 | + | 0.859535i | \(0.670753\pi\) |
−0.994170 | + | 0.107828i | \(0.965611\pi\) | |||||||
\(444\) | −6.44535 | − | 14.1133i | −0.305883 | − | 0.669789i | ||||
\(445\) | 5.84366 | + | 6.74394i | 0.277016 | + | 0.319693i | ||||
\(446\) | 2.09108 | + | 14.5438i | 0.0990153 | + | 0.688667i | ||||
\(447\) | −3.15105 | + | 6.89984i | −0.149040 | + | 0.326351i | ||||
\(448\) | −1.19953 | + | 0.352213i | −0.0566724 | + | 0.0166405i | ||||
\(449\) | −24.8095 | + | 7.28472i | −1.17083 | + | 0.343787i | −0.808633 | − | 0.588313i | \(-0.799792\pi\) |
−0.362199 | + | 0.932101i | \(0.617974\pi\) | |||||||
\(450\) | 0.161535 | − | 0.353711i | 0.00761481 | − | 0.0166741i | ||||
\(451\) | 5.79448 | + | 40.3015i | 0.272852 | + | 1.89772i | ||||
\(452\) | −8.94191 | − | 10.3195i | −0.420592 | − | 0.485389i | ||||
\(453\) | 2.72358 | + | 5.96381i | 0.127965 | + | 0.280204i | ||||
\(454\) | 10.9715 | − | 7.05097i | 0.514919 | − | 0.330918i | ||||
\(455\) | 1.77349 | − | 12.3349i | 0.0831424 | − | 0.578268i | ||||
\(456\) | 1.44071 | + | 0.925891i | 0.0674676 | + | 0.0433588i | ||||
\(457\) | −16.9932 | + | 19.6112i | −0.794908 | + | 0.917373i | −0.998091 | − | 0.0617678i | \(-0.980326\pi\) |
0.203182 | + | 0.979141i | \(0.434872\pi\) | |||||||
\(458\) | 8.16095 | + | 2.39627i | 0.381336 | + | 0.111970i | ||||
\(459\) | 2.42864 | 0.113359 | ||||||||
\(460\) | −7.87917 | − | 17.4752i | −0.367368 | − | 0.814785i | ||||
\(461\) | −7.18402 | −0.334593 | −0.167297 | − | 0.985907i | \(-0.553504\pi\) | ||||
−0.167297 | + | 0.985907i | \(0.553504\pi\) | |||||||
\(462\) | 2.70093 | + | 0.793066i | 0.125659 | + | 0.0368968i | ||||
\(463\) | −0.899195 | + | 1.03773i | −0.0417891 | + | 0.0482272i | −0.776259 | − | 0.630414i | \(-0.782885\pi\) |
0.734470 | + | 0.678641i | \(0.237431\pi\) | |||||||
\(464\) | 3.25920 | + | 2.09456i | 0.151304 | + | 0.0972374i | ||||
\(465\) | −3.18558 | + | 22.1562i | −0.147728 | + | 1.02747i | ||||
\(466\) | −9.16994 | + | 5.89316i | −0.424789 | + | 0.272995i | ||||
\(467\) | 6.60449 | + | 14.4618i | 0.305619 | + | 0.669213i | 0.998664 | − | 0.0516819i | \(-0.0164582\pi\) |
−0.693044 | + | 0.720895i | \(0.743731\pi\) | |||||||
\(468\) | 5.73898 | + | 6.62314i | 0.265284 | + | 0.306155i | ||||
\(469\) | −1.39429 | − | 9.69749i | −0.0643823 | − | 0.447788i | ||||
\(470\) | −0.817997 | + | 1.79116i | −0.0377314 | + | 0.0826202i | ||||
\(471\) | 8.62602 | − | 2.53283i | 0.397466 | − | 0.116707i | ||||
\(472\) | −17.4446 | + | 5.12220i | −0.802953 | + | 0.235768i | ||||
\(473\) | 4.14640 | − | 9.07934i | 0.190652 | − | 0.417469i | ||||
\(474\) | 0.0570225 | + | 0.396600i | 0.00261913 | + | 0.0182165i | ||||
\(475\) | 0.366756 | + | 0.423259i | 0.0168279 | + | 0.0194205i | ||||
\(476\) | 1.69150 | + | 3.70386i | 0.0775296 | + | 0.169766i | ||||
\(477\) | 3.36853 | − | 2.16482i | 0.154234 | − | 0.0991205i | ||||
\(478\) | −1.50189 | + | 10.4459i | −0.0686949 | + | 0.477783i | ||||
\(479\) | −7.29700 | − | 4.68950i | −0.333408 | − | 0.214269i | 0.363215 | − | 0.931705i | \(-0.381679\pi\) |
−0.696624 | + | 0.717437i | \(0.745315\pi\) | |||||||
\(480\) | −8.45006 | + | 9.75189i | −0.385691 | + | 0.445111i | ||||
\(481\) | −46.4131 | − | 13.6281i | −2.11626 | − | 0.621389i | ||||
\(482\) | −12.7111 | −0.578976 | ||||||||
\(483\) | 3.15802 | − | 3.60928i | 0.143695 | − | 0.164228i | ||||
\(484\) | −22.6355 | −1.02889 | ||||||||
\(485\) | −30.4470 | − | 8.94004i | −1.38253 | − | 0.405946i | ||||
\(486\) | −0.372417 | + | 0.429792i | −0.0168932 | + | 0.0194958i | ||||
\(487\) | 23.2073 | + | 14.9144i | 1.05162 | + | 0.675836i | 0.947834 | − | 0.318763i | \(-0.103268\pi\) |
0.103787 | + | 0.994600i | \(0.466904\pi\) | |||||||
\(488\) | 0.951445 | − | 6.61745i | 0.0430699 | − | 0.299558i | ||||
\(489\) | −8.08536 | + | 5.19615i | −0.365633 | + | 0.234978i | ||||
\(490\) | 0.563223 | + | 1.23329i | 0.0254438 | + | 0.0557142i | ||||
\(491\) | −13.4924 | − | 15.5711i | −0.608904 | − | 0.702712i | 0.364657 | − | 0.931142i | \(-0.381186\pi\) |
−0.973560 | + | 0.228430i | \(0.926641\pi\) | |||||||
\(492\) | −1.96268 | − | 13.6507i | −0.0884842 | − | 0.615421i | ||||
\(493\) | 1.80614 | − | 3.95489i | 0.0813444 | − | 0.178119i | ||||
\(494\) | 2.33619 | − | 0.685968i | 0.105110 | − | 0.0308632i | ||||
\(495\) | −11.3227 | + | 3.32465i | −0.508919 | + | 0.149432i | ||||
\(496\) | 8.44075 | − | 18.4827i | 0.379001 | − | 0.829896i | ||||
\(497\) | −0.434999 | − | 3.02549i | −0.0195124 | − | 0.135712i | ||||
\(498\) | 2.59786 | + | 2.99809i | 0.116413 | + | 0.134348i | ||||
\(499\) | −1.42823 | − | 3.12740i | −0.0639365 | − | 0.140001i | 0.874966 | − | 0.484184i | \(-0.160883\pi\) |
−0.938903 | + | 0.344182i | \(0.888156\pi\) | |||||||
\(500\) | 14.5136 | − | 9.32734i | 0.649069 | − | 0.417131i | ||||
\(501\) | −0.880268 | + | 6.12240i | −0.0393275 | + | 0.273528i | ||||
\(502\) | 14.0611 | + | 9.03654i | 0.627579 | + | 0.403321i | ||||
\(503\) | 3.39590 | − | 3.91908i | 0.151416 | − | 0.174743i | −0.674974 | − | 0.737841i | \(-0.735845\pi\) |
0.826390 | + | 0.563098i | \(0.190391\pi\) | |||||||
\(504\) | −2.00617 | − | 0.589064i | −0.0893618 | − | 0.0262390i | ||||
\(505\) | 23.5720 | 1.04894 | ||||||||
\(506\) | 5.66720 | − | 12.2530i | 0.251938 | − | 0.544710i | ||||
\(507\) | 14.3225 | 0.636086 | ||||||||
\(508\) | 27.5191 | + | 8.08034i | 1.22096 | + | 0.358507i | ||||
\(509\) | −15.7456 | + | 18.1714i | −0.697912 | + | 0.805434i | −0.988469 | − | 0.151424i | \(-0.951614\pi\) |
0.290557 | + | 0.956858i | \(0.406160\pi\) | |||||||
\(510\) | 2.77006 | + | 1.78021i | 0.122660 | + | 0.0788289i | ||||
\(511\) | −1.71024 | + | 11.8950i | −0.0756566 | + | 0.526204i | ||||
\(512\) | 17.4667 | − | 11.2252i | 0.771928 | − | 0.496088i | ||||
\(513\) | −0.340258 | − | 0.745060i | −0.0150227 | − | 0.0328952i | ||||
\(514\) | 2.07442 | + | 2.39401i | 0.0914987 | + | 0.105595i | ||||
\(515\) | 0.515909 | + | 3.58823i | 0.0227337 | + | 0.158116i | ||||
\(516\) | −1.40444 | + | 3.07530i | −0.0618272 | + | 0.135383i | ||||
\(517\) | 6.89770 | − | 2.02535i | 0.303360 | − | 0.0890747i | ||||
\(518\) | 5.04965 | − | 1.48271i | 0.221869 | − | 0.0651466i | ||||
\(519\) | 3.93673 | − | 8.62023i | 0.172803 | − | 0.378386i | ||||
\(520\) | 3.70812 | + | 25.7905i | 0.162612 | + | 1.13099i | ||||
\(521\) | 8.67545 | + | 10.0120i | 0.380078 | + | 0.438634i | 0.913266 | − | 0.407363i | \(-0.133552\pi\) |
−0.533188 | + | 0.845997i | \(0.679006\pi\) | |||||||
\(522\) | 0.422930 | + | 0.926087i | 0.0185111 | + | 0.0405337i | ||||
\(523\) | 28.5328 | − | 18.3369i | 1.24765 | − | 0.801819i | 0.261109 | − | 0.965309i | \(-0.415912\pi\) |
0.986545 | + | 0.163491i | \(0.0522753\pi\) | |||||||
\(524\) | −3.70331 | + | 25.7571i | −0.161780 | + | 1.12520i | ||||
\(525\) | −0.575214 | − | 0.369668i | −0.0251044 | − | 0.0161336i | ||||
\(526\) | −0.374778 | + | 0.432517i | −0.0163411 | + | 0.0188586i | ||||
\(527\) | −21.8789 | − | 6.42423i | −0.953061 | − | 0.279844i | ||||
\(528\) | 10.7120 | 0.466179 | ||||||||
\(529\) | −14.8937 | − | 17.5265i | −0.647552 | − | 0.762021i | ||||
\(530\) | 5.42890 | 0.235817 | ||||||||
\(531\) | 8.34327 | + | 2.44980i | 0.362067 | + | 0.106312i | ||||
\(532\) | 0.899291 | − | 1.03784i | 0.0389892 | − | 0.0449959i | ||||
\(533\) | −36.1710 | − | 23.2457i | −1.56674 | − | 1.00688i | ||||
\(534\) | 0.302934 | − | 2.10696i | 0.0131093 | − | 0.0911769i | ||||
\(535\) | 27.8589 | − | 17.9038i | 1.20445 | − | 0.774050i | ||||
\(536\) | 8.50961 | + | 18.6335i | 0.367559 | + | 0.804843i | ||||
\(537\) | −11.9715 | − | 13.8158i | −0.516607 | − | 0.596197i | ||||
\(538\) | −0.925843 | − | 6.43938i | −0.0399159 | − | 0.277621i | ||||
\(539\) | 2.05624 | − | 4.50254i | 0.0885685 | − | 0.193938i | ||||
\(540\) | 3.83517 | − | 1.12611i | 0.165040 | − | 0.0484600i | ||||
\(541\) | 6.59325 | − | 1.93595i | 0.283466 | − | 0.0832331i | −0.136909 | − | 0.990584i | \(-0.543717\pi\) |
0.420375 | + | 0.907351i | \(0.361899\pi\) | |||||||
\(542\) | −1.36525 | + | 2.98948i | −0.0586426 | + | 0.128409i | ||||
\(543\) | 3.22838 | + | 22.4539i | 0.138543 | + | 0.963587i | ||||
\(544\) | −8.60806 | − | 9.93423i | −0.369068 | − | 0.425927i | ||||
\(545\) | −2.87927 | − | 6.30472i | −0.123334 | − | 0.270065i | ||||
\(546\) | −2.50074 | + | 1.60713i | −0.107022 | + | 0.0687786i | ||||
\(547\) | 6.12548 | − | 42.6036i | 0.261906 | − | 1.82160i | −0.256591 | − | 0.966520i | \(-0.582599\pi\) |
0.518497 | − | 0.855079i | \(-0.326492\pi\) | |||||||
\(548\) | 22.5228 | + | 14.4745i | 0.962128 | + | 0.618322i | ||||
\(549\) | −2.09391 | + | 2.41650i | −0.0893658 | + | 0.103134i | ||||
\(550\) | −1.84679 | − | 0.542265i | −0.0787472 | − | 0.0231223i | ||||
\(551\) | −1.46633 | −0.0624677 | ||||||||
\(552\) | −4.20941 | + | 9.10109i | −0.179165 | + | 0.387368i | ||||
\(553\) | 0.704556 | 0.0299608 | ||||||||
\(554\) | −16.0493 | − | 4.71249i | −0.681867 | − | 0.200214i | ||||
\(555\) | −14.4479 | + | 16.6738i | −0.613280 | + | 0.707763i | ||||
\(556\) | −12.8803 | − | 8.27767i | −0.546247 | − | 0.351051i | ||||
\(557\) | −1.96543 | + | 13.6699i | −0.0832781 | + | 0.579212i | 0.904868 | + | 0.425693i | \(0.139970\pi\) |
−0.988146 | + | 0.153519i | \(0.950939\pi\) | |||||||
\(558\) | 4.49188 | − | 2.88676i | 0.190157 | − | 0.122206i | ||||
\(559\) | 4.37864 | + | 9.58789i | 0.185197 | + | 0.405525i | ||||
\(560\) | 3.37866 | + | 3.89918i | 0.142774 | + | 0.164771i | ||||
\(561\) | −1.71082 | − | 11.8990i | −0.0722310 | − | 0.502378i | ||||
\(562\) | −2.93384 | + | 6.42421i | −0.123757 | + | 0.270989i | ||||
\(563\) | −7.91936 | + | 2.32533i | −0.333761 | + | 0.0980012i | −0.444319 | − | 0.895869i | \(-0.646554\pi\) |
0.110558 | + | 0.993870i | \(0.464736\pi\) | |||||||
\(564\) | −2.33635 | + | 0.686014i | −0.0983781 | + | 0.0288864i | ||||
\(565\) | −8.06596 | + | 17.6620i | −0.339337 | + | 0.743045i | ||||
\(566\) | 2.20809 | + | 15.3576i | 0.0928131 | + | 0.645530i | ||||
\(567\) | 0.654861 | + | 0.755750i | 0.0275016 | + | 0.0317385i | ||||
\(568\) | 2.65488 | + | 5.81339i | 0.111396 | + | 0.243924i | ||||
\(569\) | 10.2244 | − | 6.57085i | 0.428631 | − | 0.275464i | −0.308487 | − | 0.951229i | \(-0.599823\pi\) |
0.737118 | + | 0.675764i | \(0.236186\pi\) | |||||||
\(570\) | 0.158043 | − | 1.09921i | 0.00661968 | − | 0.0460409i | ||||
\(571\) | 7.96320 | + | 5.11764i | 0.333250 | + | 0.214167i | 0.696555 | − | 0.717504i | \(-0.254715\pi\) |
−0.363305 | + | 0.931670i | \(0.618352\pi\) | |||||||
\(572\) | 28.4071 | − | 32.7835i | 1.18776 | − | 1.37075i | ||||
\(573\) | 7.72207 | + | 2.26740i | 0.322594 | + | 0.0947222i | ||||
\(574\) | 4.67793 | 0.195253 | ||||||||
\(575\) | −2.15932 | + | 2.46788i | −0.0900499 | + | 0.102918i | ||||
\(576\) | −1.25017 | −0.0520904 | ||||||||
\(577\) | 18.9872 | + | 5.57515i | 0.790448 | + | 0.232096i | 0.651946 | − | 0.758266i | \(-0.273953\pi\) |
0.138502 | + | 0.990362i | \(0.455771\pi\) | |||||||
\(578\) | 4.13446 | − | 4.77143i | 0.171971 | − | 0.198465i | ||||
\(579\) | 14.1605 | + | 9.10042i | 0.588491 | + | 0.378200i | ||||
\(580\) | 1.01835 | − | 7.08281i | 0.0422849 | − | 0.294098i | ||||
\(581\) | 5.86831 | − | 3.77133i | 0.243458 | − | 0.156461i | ||||
\(582\) | 3.14447 | + | 6.88543i | 0.130342 | + | 0.285410i | ||||
\(583\) | −12.9794 | − | 14.9790i | −0.537552 | − | 0.620368i | ||||
\(584\) | −3.57588 | − | 24.8708i | −0.147971 | − | 1.02916i | ||||
\(585\) | 5.17679 | − | 11.3356i | 0.214034 | − | 0.468669i | ||||
\(586\) | 1.58435 | − | 0.465208i | 0.0654490 | − | 0.0192176i | ||||
\(587\) | −29.0148 | + | 8.51950i | −1.19757 | + | 0.351638i | −0.818922 | − | 0.573904i | \(-0.805428\pi\) |
−0.378645 | + | 0.925542i | \(0.623610\pi\) | |||||||
\(588\) | −0.696478 | + | 1.52507i | −0.0287223 | + | 0.0628930i | ||||
\(589\) | 1.09445 | + | 7.61209i | 0.0450961 | + | 0.313651i | ||||
\(590\) | 7.72043 | + | 8.90985i | 0.317845 | + | 0.366813i | ||||
\(591\) | −0.0164543 | − | 0.0360298i | −0.000676838 | − | 0.00148207i | ||||
\(592\) | 16.8478 | − | 10.8274i | 0.692441 | − | 0.445005i | ||||
\(593\) | −1.54779 | + | 10.7651i | −0.0635602 | + | 0.442071i | 0.933046 | + | 0.359757i | \(0.117140\pi\) |
−0.996606 | + | 0.0823144i | \(0.973769\pi\) | |||||||
\(594\) | 2.36810 | + | 1.52188i | 0.0971641 | + | 0.0624436i | ||||
\(595\) | 3.79167 | − | 4.37582i | 0.155443 | − | 0.179391i | ||||
\(596\) | −12.2023 | − | 3.58291i | −0.499824 | − | 0.146762i | ||||
\(597\) | 11.0106 | 0.450635 | ||||||||
\(598\) | 5.85974 | + | 12.9963i | 0.239623 | + | 0.531458i | ||||
\(599\) | 45.0289 | 1.83983 | 0.919916 | − | 0.392116i | \(-0.128257\pi\) | ||||
0.919916 | + | 0.392116i | \(0.128257\pi\) | |||||||
\(600\) | 1.37173 | + | 0.402777i | 0.0560008 | + | 0.0164433i | ||||
\(601\) | −6.56340 | + | 7.57457i | −0.267727 | + | 0.308973i | −0.873655 | − | 0.486546i | \(-0.838256\pi\) |
0.605928 | + | 0.795519i | \(0.292802\pi\) | |||||||
\(602\) | −0.964727 | − | 0.619993i | −0.0393194 | − | 0.0252690i | ||||
\(603\) | 1.39429 | − | 9.69749i | 0.0567798 | − | 0.394912i | ||||
\(604\) | −9.24721 | + | 5.94282i | −0.376264 | + | 0.241810i | ||||
\(605\) | 13.3710 | + | 29.2785i | 0.543610 | + | 1.19034i | ||||
\(606\) | −3.68221 | − | 4.24950i | −0.149580 | − | 0.172624i | ||||
\(607\) | −1.02917 | − | 7.15804i | −0.0417728 | − | 0.290536i | −0.999990 | − | 0.00449414i | \(-0.998569\pi\) |
0.958217 | − | 0.286042i | \(-0.0923396\pi\) | |||||||
\(608\) | −1.84162 | + | 4.03259i | −0.0746877 | + | 0.163543i | ||||
\(609\) | 1.71770 | − | 0.504362i | 0.0696047 | − | 0.0204378i | ||||
\(610\) | −4.15957 | + | 1.22136i | −0.168416 | + | 0.0494515i | ||||
\(611\) | −3.15365 | + | 6.90553i | −0.127583 | + | 0.279368i | ||||
\(612\) | 0.579481 | + | 4.03038i | 0.0234241 | + | 0.162918i | ||||
\(613\) | −7.72330 | − | 8.91317i | −0.311941 | − | 0.359999i | 0.578030 | − | 0.816015i | \(-0.303821\pi\) |
−0.889972 | + | 0.456016i | \(0.849276\pi\) | |||||||
\(614\) | 6.44662 | + | 14.1161i | 0.260165 | + | 0.569681i | ||||
\(615\) | −16.4975 | + | 10.6023i | −0.665243 | + | 0.427525i | ||||
\(616\) | −1.47288 | + | 10.2441i | −0.0593440 | + | 0.412746i | ||||
\(617\) | 6.86910 | + | 4.41450i | 0.276540 | + | 0.177721i | 0.671558 | − | 0.740952i | \(-0.265625\pi\) |
−0.395018 | + | 0.918673i | \(0.629262\pi\) | |||||||
\(618\) | 0.566285 | − | 0.653528i | 0.0227793 | − | 0.0262887i | ||||
\(619\) | −3.23866 | − | 0.950955i | −0.130173 | − | 0.0382221i | 0.215997 | − | 0.976394i | \(-0.430700\pi\) |
−0.346170 | + | 0.938172i | \(0.612518\pi\) | |||||||
\(620\) | −37.5288 | −1.50719 | ||||||||
\(621\) | 4.04695 | − | 2.57336i | 0.162398 | − | 0.103266i | ||||
\(622\) | 9.38811 | 0.376429 | ||||||||
\(623\) | −3.59137 | − | 1.05452i | −0.143885 | − | 0.0422485i | ||||
\(624\) | −7.40777 | + | 8.54902i | −0.296548 | + | 0.342235i | ||||
\(625\) | −23.5141 | − | 15.1116i | −0.940564 | − | 0.604464i | ||||
\(626\) | 1.91765 | − | 13.3375i | 0.0766445 | − | 0.533075i | ||||
\(627\) | −3.41071 | + | 2.19193i | −0.136210 | + | 0.0875372i | ||||
\(628\) | 6.26147 | + | 13.7107i | 0.249860 | + | 0.547116i | ||||
\(629\) | −14.7181 | − | 16.9856i | −0.586848 | − | 0.677259i | ||||
\(630\) | 0.192952 | + | 1.34201i | 0.00768738 | + | 0.0534669i | ||||
\(631\) | −13.0161 | + | 28.5013i | −0.518164 | + | 1.13462i | 0.451967 | + | 0.892035i | \(0.350723\pi\) |
−0.970130 | + | 0.242585i | \(0.922005\pi\) | |||||||
\(632\) | −1.41346 | + | 0.415028i | −0.0562243 | + | 0.0165089i | ||||
\(633\) | −22.1192 | + | 6.49478i | −0.879159 | + | 0.258144i | ||||
\(634\) | 5.42814 | − | 11.8860i | 0.215579 | − | 0.472052i | ||||
\(635\) | −5.80410 | − | 40.3684i | −0.230329 | − | 1.60197i | ||||
\(636\) | 4.39631 | + | 5.07361i | 0.174325 | + | 0.201182i | ||||
\(637\) | 2.17141 | + | 4.75473i | 0.0860345 | + | 0.188389i | ||||
\(638\) | 4.23940 | − | 2.72450i | 0.167840 | − | 0.107864i | ||||
\(639\) | 0.434999 | − | 3.02549i | 0.0172083 | − | 0.119686i | ||||
\(640\) | −23.1363 | − | 14.8688i | −0.914543 | − | 0.587741i | ||||
\(641\) | 32.6010 | − | 37.6236i | 1.28766 | − | 1.48604i | 0.505714 | − | 0.862701i | \(-0.331229\pi\) |
0.781950 | − | 0.623342i | \(-0.214225\pi\) | |||||||
\(642\) | −7.57952 | − | 2.22555i | −0.299140 | − | 0.0878354i | ||||
\(643\) | −20.5529 | −0.810526 | −0.405263 | − | 0.914200i | \(-0.632820\pi\) | ||||
−0.405263 | + | 0.914200i | \(0.632820\pi\) | |||||||
\(644\) | 6.74318 | + | 4.37961i | 0.265719 | + | 0.172581i | ||||
\(645\) | 4.80745 | 0.189293 | ||||||||
\(646\) | 1.08545 | + | 0.318718i | 0.0427066 | + | 0.0125398i | ||||
\(647\) | 28.3461 | − | 32.7131i | 1.11440 | − | 1.28608i | 0.160143 | − | 0.987094i | \(-0.448805\pi\) |
0.954256 | − | 0.298991i | \(-0.0966500\pi\) | |||||||
\(648\) | −1.75894 | − | 1.13040i | −0.0690979 | − | 0.0444065i | ||||
\(649\) | 6.12542 | − | 42.6033i | 0.240444 | − | 1.67232i | ||||
\(650\) | 1.70990 | − | 1.09889i | 0.0670678 | − | 0.0431018i | ||||
\(651\) | −3.90035 | − | 8.54057i | −0.152867 | − | 0.334731i | ||||
\(652\) | −10.5523 | − | 12.1780i | −0.413260 | − | 0.476927i | ||||
\(653\) | −3.69386 | − | 25.6914i | −0.144552 | − | 1.00538i | −0.924948 | − | 0.380095i | \(-0.875891\pi\) |
0.780396 | − | 0.625286i | \(-0.215018\pi\) | |||||||
\(654\) | −0.686824 | + | 1.50393i | −0.0268569 | + | 0.0588085i | ||||
\(655\) | 35.5038 | − | 10.4249i | 1.38725 | − | 0.407333i | ||||
\(656\) | 17.0802 | − | 5.01519i | 0.666869 | − | 0.195810i | ||||
\(657\) | −4.99217 | + | 10.9313i | −0.194763 | + | 0.426472i | ||||
\(658\) | −0.117544 | − | 0.817539i | −0.00458235 | − | 0.0318710i | ||||
\(659\) | 26.5680 | + | 30.6611i | 1.03494 | + | 1.19439i | 0.980631 | + | 0.195864i | \(0.0627511\pi\) |
0.0543120 | + | 0.998524i | \(0.482703\pi\) | |||||||
\(660\) | −8.21896 | − | 17.9970i | −0.319923 | − | 0.700533i | ||||
\(661\) | −6.94246 | + | 4.46165i | −0.270031 | + | 0.173538i | −0.668648 | − | 0.743579i | \(-0.733127\pi\) |
0.398617 | + | 0.917117i | \(0.369490\pi\) | |||||||
\(662\) | 1.06171 | − | 7.38435i | 0.0412645 | − | 0.287001i | ||||
\(663\) | 10.6795 | + | 6.86329i | 0.414757 | + | 0.266548i | ||||
\(664\) | −9.55124 | + | 11.0227i | −0.370660 | + | 0.427765i | ||||
\(665\) | −1.87364 | − | 0.550149i | −0.0726565 | − | 0.0213339i | ||||
\(666\) | 5.26283 | 0.203931 | ||||||||
\(667\) | −1.18092 | − | 8.50397i | −0.0457254 | − | 0.329275i | ||||
\(668\) | −10.3703 | −0.401238 | ||||||||
\(669\) | 24.7902 | + | 7.27907i | 0.958446 | + | 0.281425i | ||||
\(670\) | 8.69861 | − | 10.0387i | 0.336057 | − | 0.387830i | ||||
\(671\) | 13.3146 | + | 8.55675i | 0.514003 | + | 0.330330i | ||||
\(672\) | 0.770270 | − | 5.35735i | 0.0297138 | − | 0.206664i | ||||
\(673\) | −23.3467 | + | 15.0040i | −0.899951 | + | 0.578363i | −0.906776 | − | 0.421613i | \(-0.861464\pi\) |
0.00682489 | + | 0.999977i | \(0.497828\pi\) | |||||||
\(674\) | −4.06527 | − | 8.90170i | −0.156588 | − | 0.342881i | ||||
\(675\) | −0.447766 | − | 0.516750i | −0.0172345 | − | 0.0198897i | ||||
\(676\) | 3.41739 | + | 23.7685i | 0.131438 | + | 0.914173i | ||||
\(677\) | 1.81407 | − | 3.97226i | 0.0697204 | − | 0.152666i | −0.871563 | − | 0.490283i | \(-0.836893\pi\) |
0.941284 | + | 0.337617i | \(0.109621\pi\) | |||||||
\(678\) | 4.44405 | − | 1.30489i | 0.170673 | − | 0.0501140i | ||||
\(679\) | 12.7710 | − | 3.74992i | 0.490108 | − | 0.143909i | ||||
\(680\) | −5.02908 | + | 11.0121i | −0.192856 | + | 0.422297i | ||||
\(681\) | −3.26370 | − | 22.6995i | −0.125065 | − | 0.869847i | ||||
\(682\) | −17.3078 | − | 19.9743i | −0.662751 | − | 0.764855i | ||||
\(683\) | 10.4330 | + | 22.8452i | 0.399209 | + | 0.874147i | 0.997350 | + | 0.0727555i | \(0.0231793\pi\) |
−0.598140 | + | 0.801391i | \(0.704093\pi\) | |||||||
\(684\) | 1.15526 | − | 0.742438i | 0.0441723 | − | 0.0283878i | ||||
\(685\) | 5.41800 | − | 37.6830i | 0.207011 | − | 1.43979i | ||||
\(686\) | −0.478418 | − | 0.307461i | −0.0182661 | − | 0.0117389i | ||||
\(687\) | 9.79417 | − | 11.3031i | 0.373671 | − | 0.431239i | ||||
\(688\) | −4.18713 | − | 1.22945i | −0.159633 | − | 0.0468725i | ||||
\(689\) | 20.9302 | 0.797379 | ||||||||
\(690\) | 6.50215 | + | 0.0313108i | 0.247533 | + | 0.00119198i | ||||
\(691\) | 5.57171 | 0.211958 | 0.105979 | − | 0.994368i | \(-0.466202\pi\) | ||||
0.105979 | + | 0.994368i | \(0.466202\pi\) | |||||||
\(692\) | 15.2447 | + | 4.47626i | 0.579518 | + | 0.170162i | ||||
\(693\) | 3.24146 | − | 3.74084i | 0.123133 | − | 0.142103i | ||||
\(694\) | −13.4789 | − | 8.66235i | −0.511651 | − | 0.328818i | ||||
\(695\) | −3.09843 | + | 21.5501i | −0.117530 | + | 0.817441i | ||||
\(696\) | −3.14889 | + | 2.02367i | −0.119358 | + | 0.0767070i | ||||
\(697\) | −8.29886 | − | 18.1720i | −0.314342 | − | 0.688312i | ||||
\(698\) | −7.06053 | − | 8.14829i | −0.267245 | − | 0.308417i | ||||
\(699\) | 2.72778 | + | 18.9721i | 0.103174 | + | 0.717591i | ||||
\(700\) | 0.476223 | − | 1.04278i | 0.0179995 | − | 0.0394135i | ||||
\(701\) | 40.9358 | − | 12.0198i | 1.54612 | − | 0.453983i | 0.606185 | − | 0.795324i | \(-0.292699\pi\) |
0.939940 | + | 0.341341i | \(0.110881\pi\) | |||||||
\(702\) | −2.85222 | + | 0.837487i | −0.107650 | + | 0.0316089i | ||||
\(703\) | −3.14881 | + | 6.89493i | −0.118760 | + | 0.260047i | ||||
\(704\) | 0.880665 | + | 6.12516i | 0.0331913 | + | 0.230851i | ||||
\(705\) | 2.26745 | + | 2.61678i | 0.0853971 | + | 0.0985535i | ||||
\(706\) | 0.0407278 | + | 0.0891815i | 0.00153281 | + | 0.00335639i | ||||
\(707\) | −8.31776 | + | 5.34550i | −0.312822 | + | 0.201038i | ||||
\(708\) | −2.07477 | + | 14.4303i | −0.0779746 | + | 0.542325i | ||||
\(709\) | −3.76355 | − | 2.41869i | −0.141343 | − | 0.0908357i | 0.468058 | − | 0.883698i | \(-0.344954\pi\) |
−0.609401 | + | 0.792862i | \(0.708590\pi\) | |||||||
\(710\) | 2.71385 | − | 3.13195i | 0.101849 | − | 0.117540i | ||||
\(711\) | 0.676017 | + | 0.198496i | 0.0253526 | + | 0.00744420i | ||||
\(712\) | 7.82606 | 0.293294 | ||||||||
\(713\) | −43.2649 | + | 12.4777i | −1.62028 | + | 0.467295i | ||||
\(714\) | −1.38116 | −0.0516886 | ||||||||
\(715\) | −59.1850 | − | 17.3783i | −2.21339 | − | 0.649911i | ||||
\(716\) | 20.0712 | − | 23.1634i | 0.750095 | − | 0.865656i | ||||
\(717\) | 15.6111 | + | 10.0327i | 0.583008 | + | 0.374677i | ||||
\(718\) | 0.952363 | − | 6.62383i | 0.0355419 | − | 0.247199i | ||||
\(719\) | 8.02548 | − | 5.15766i | 0.299300 | − | 0.192348i | −0.382368 | − | 0.924010i | \(-0.624891\pi\) |
0.681668 | + | 0.731662i | \(0.261255\pi\) | |||||||
\(720\) | 2.14327 | + | 4.69312i | 0.0798751 | + | 0.174902i | ||||
\(721\) | −0.995759 | − | 1.14917i | −0.0370840 | − | 0.0427972i | ||||
\(722\) | 1.48345 | + | 10.3176i | 0.0552082 | + | 0.383981i | ||||
\(723\) | −9.28508 | + | 20.3315i | −0.345316 | + | 0.756136i | ||||
\(724\) | −36.4923 | + | 10.7151i | −1.35623 | + | 0.398224i | ||||
\(725\) | −1.17449 | + | 0.344862i | −0.0436195 | + | 0.0128079i | ||||
\(726\) | 3.18954 | − | 6.98412i | 0.118375 | − | 0.259205i | ||||
\(727\) | −1.89261 | − | 13.1634i | −0.0701931 | − | 0.488204i | −0.994347 | − | 0.106182i | \(-0.966137\pi\) |
0.924154 | − | 0.382021i | \(-0.124772\pi\) | |||||||
\(728\) | −7.15706 | − | 8.25968i | −0.265258 | − | 0.306124i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | −13.7067 | + | 8.80876i | −0.507307 | + | 0.326027i | ||||
\(731\) | −0.696964 | + | 4.84749i | −0.0257782 | + | 0.179291i | ||||
\(732\) | −4.50984 | − | 2.89830i | −0.166688 | − | 0.107124i | ||||
\(733\) | 10.9431 | − | 12.6290i | 0.404191 | − | 0.466462i | −0.516765 | − | 0.856127i | \(-0.672864\pi\) |
0.920956 | + | 0.389665i | \(0.127409\pi\) | |||||||
\(734\) | −16.6157 | − | 4.87880i | −0.613295 | − | 0.180080i | ||||
\(735\) | 2.38406 | 0.0879375 | ||||||||
\(736\) | −24.8702 | − | 7.43282i | −0.916728 | − | 0.273977i | ||||
\(737\) | −48.4947 | −1.78632 | ||||||||
\(738\) | 4.48844 | + | 1.31792i | 0.165222 | + | 0.0485135i | ||||
\(739\) | 3.38119 | − | 3.90210i | 0.124379 | − | 0.143541i | −0.690144 | − | 0.723672i | \(-0.742453\pi\) |
0.814524 | + | 0.580130i | \(0.196998\pi\) | |||||||
\(740\) | −31.1178 | − | 19.9982i | −1.14391 | − | 0.735148i | ||||
\(741\) | 0.609307 | − | 4.23782i | 0.0223835 | − | 0.155680i | ||||
\(742\) | −1.91567 | + | 1.23113i | −0.0703266 | + | 0.0451961i | ||||
\(743\) | −1.89603 | − | 4.15172i | −0.0695585 | − | 0.152312i | 0.871659 | − | 0.490112i | \(-0.163044\pi\) |
−0.941218 | + | 0.337801i | \(0.890317\pi\) | |||||||
\(744\) | 12.8557 | + | 14.8362i | 0.471312 | + | 0.543923i | ||||
\(745\) | 2.57360 | + | 17.8998i | 0.0942895 | + | 0.655798i | ||||
\(746\) | 6.71404 | − | 14.7017i | 0.245819 | − | 0.538268i | ||||
\(747\) | 6.69310 | − | 1.96527i | 0.244888 | − | 0.0719056i | ||||
\(748\) | 19.3385 | − | 5.67829i | 0.707085 | − | 0.207619i | ||||
\(749\) | −5.77034 | + | 12.6353i | −0.210844 | + | 0.461683i | ||||
\(750\) | 0.832826 | + | 5.79243i | 0.0304105 | + | 0.211510i | ||||
\(751\) | −17.0564 | − | 19.6841i | −0.622396 | − | 0.718283i | 0.353764 | − | 0.935335i | \(-0.384901\pi\) |
−0.976160 | + | 0.217052i | \(0.930356\pi\) | |||||||
\(752\) | −1.30566 | − | 2.85900i | −0.0476126 | − | 0.104257i | ||||
\(753\) | 24.7252 | − | 15.8899i | 0.901036 | − | 0.579061i | ||||
\(754\) | −0.757350 | + | 5.26749i | −0.0275811 | + | 0.191831i | ||||
\(755\) | 13.1493 | + | 8.45055i | 0.478553 | + | 0.307547i | ||||
\(756\) | −1.09793 | + | 1.26708i | −0.0399313 | + | 0.0460832i | ||||
\(757\) | 15.0549 | + | 4.42052i | 0.547180 | + | 0.160667i | 0.543627 | − | 0.839327i | \(-0.317051\pi\) |
0.00355354 | + | 0.999994i | \(0.498869\pi\) | |||||||
\(758\) | −16.7976 | −0.610118 | ||||||||
\(759\) | −15.4589 | − | 18.0151i | −0.561123 | − | 0.653907i | ||||
\(760\) | 4.08290 | 0.148102 | ||||||||
\(761\) | −9.87988 | − | 2.90099i | −0.358145 | − | 0.105161i | 0.0977098 | − | 0.995215i | \(-0.468848\pi\) |
−0.455855 | + | 0.890054i | \(0.650666\pi\) | |||||||
\(762\) | −6.37084 | + | 7.35234i | −0.230791 | + | 0.266347i | ||||
\(763\) | 2.44573 | + | 1.57178i | 0.0885415 | + | 0.0569022i | ||||
\(764\) | −1.92029 | + | 13.3559i | −0.0694737 | + | 0.483200i | ||||
\(765\) | 4.87089 | − | 3.13033i | 0.176107 | − | 0.113177i | ||||
\(766\) | −2.63845 | − | 5.77741i | −0.0953312 | − | 0.208746i | ||||
\(767\) | 29.7648 | + | 34.3505i | 1.07475 | + | 1.24032i | ||||
\(768\) | 0.577806 | + | 4.01873i | 0.0208498 | + | 0.145014i | ||||
\(769\) | −0.634291 | + | 1.38890i | −0.0228731 | + | 0.0500851i | −0.920724 | − | 0.390215i | \(-0.872401\pi\) |
0.897851 | + | 0.440300i | \(0.145128\pi\) | |||||||
\(770\) | 6.43920 | − | 1.89072i | 0.232053 | − | 0.0681368i | ||||
\(771\) | 5.34452 | − | 1.56929i | 0.192478 | − | 0.0565167i | ||||
\(772\) | −11.7236 | + | 25.6710i | −0.421941 | + | 0.923921i | ||||
\(773\) | −5.18544 | − | 36.0655i | −0.186507 | − | 1.29719i | −0.840965 | − | 0.541089i | \(-0.818012\pi\) |
0.654458 | − | 0.756098i | \(-0.272897\pi\) | |||||||
\(774\) | −0.750977 | − | 0.866674i | −0.0269933 | − | 0.0311519i | ||||
\(775\) | 2.66689 | + | 5.83968i | 0.0957977 | + | 0.209768i | ||||
\(776\) | −23.4119 | + | 15.0459i | −0.840438 | + | 0.540117i | ||||
\(777\) | 1.31701 | − | 9.16000i | 0.0472474 | − | 0.328613i | ||||
\(778\) | −13.5083 | − | 8.68128i | −0.484297 | − | 0.311239i | ||||
\(779\) | −4.41212 | + | 5.09186i | −0.158081 | + | 0.182435i | ||||
\(780\) | 20.0468 | + | 5.88628i | 0.717791 | + | 0.210762i | ||||
\(781\) | −15.1297 | −0.541383 | ||||||||
\(782\) | −0.974227 | + | 6.55177i | −0.0348383 | + | 0.234291i | ||||
\(783\) | 1.79022 | 0.0639771 | ||||||||
\(784\) | −2.07644 | − | 0.609698i | −0.0741586 | − | 0.0217749i | ||||
\(785\) | 14.0357 | − | 16.1981i | 0.500957 | − | 0.578135i | ||||
\(786\) | −7.42545 | − | 4.77204i | −0.264857 | − | 0.170213i | ||||
\(787\) | 0.365115 | − | 2.53943i | 0.0130149 | − | 0.0905209i | −0.982279 | − | 0.187426i | \(-0.939985\pi\) |
0.995294 | + | 0.0969056i | \(0.0308945\pi\) | |||||||
\(788\) | 0.0558661 | − | 0.0359030i | 0.00199015 | − | 0.00127899i | ||||
\(789\) | 0.418048 | + | 0.915398i | 0.0148829 | + | 0.0325890i | ||||
\(790\) | 0.625551 | + | 0.721925i | 0.0222561 | + | 0.0256849i | ||||
\(791\) | −1.15906 | − | 8.06145i | −0.0412115 | − | 0.286632i | ||||
\(792\) | −4.29931 | + | 9.41418i | −0.152769 | + | 0.334518i | ||||
\(793\) | −16.0365 | + | 4.70875i | −0.569474 | + | 0.167213i | ||||
\(794\) | −3.49164 | + | 1.02524i | −0.123914 | + | 0.0363843i | ||||
\(795\) | 3.96564 | − | 8.68355i | 0.140647 | − | 0.307974i | ||||
\(796\) | 2.62717 | + | 18.2724i | 0.0931175 | + | 0.647647i | ||||
\(797\) | 18.5225 | + | 21.3761i | 0.656101 | + | 0.757181i | 0.982135 | − | 0.188177i | \(-0.0602579\pi\) |
−0.326034 | + | 0.945358i | \(0.605712\pi\) | |||||||
\(798\) | 0.193503 | + | 0.423713i | 0.00684995 | + | 0.0149993i | ||||
\(799\) | −2.96730 | + | 1.90697i | −0.104975 | + | 0.0674636i | ||||
\(800\) | −0.526679 | + | 3.66313i | −0.0186209 | + | 0.129511i | ||||
\(801\) | −3.14880 | − | 2.02361i | −0.111257 | − | 0.0715007i | ||||
\(802\) | −9.61496 | + | 11.0963i | −0.339516 | + | 0.391822i | ||||
\(803\) | 57.0743 | + | 16.7585i | 2.01411 | + | 0.591396i | ||||
\(804\) | 16.4258 | 0.579295 | ||||||||
\(805\) | 1.68164 | − | 11.3092i | 0.0592702 | − | 0.398598i | ||||
\(806\) | 27.9101 | 0.983093 | ||||||||
\(807\) | −10.9761 | − | 3.22288i | −0.386377 | − | 0.113451i | ||||
\(808\) | 13.5380 | − | 15.6237i | 0.476264 | − | 0.549638i | ||||
\(809\) | −43.1053 | − | 27.7021i | −1.51550 | − | 0.973954i | −0.992583 | − | 0.121572i | \(-0.961206\pi\) |
−0.522920 | − | 0.852382i | \(-0.675157\pi\) | |||||||
\(810\) | −0.192952 | + | 1.34201i | −0.00677963 | + | 0.0471534i | ||||
\(811\) | 30.7518 | − | 19.7630i | 1.07984 | − | 0.693973i | 0.125322 | − | 0.992116i | \(-0.460004\pi\) |
0.954521 | + | 0.298143i | \(0.0963672\pi\) | |||||||
\(812\) | 1.24685 | + | 2.73021i | 0.0437558 | + | 0.0958117i | ||||
\(813\) | 3.78442 | + | 4.36745i | 0.132725 | + | 0.153173i | ||||
\(814\) | −3.70733 | − | 25.7850i | −0.129942 | − | 0.903765i | ||||
\(815\) | −9.51859 | + | 20.8428i | −0.333422 | + | 0.730092i | ||||
\(816\) | −5.04293 | + | 1.48074i | −0.176538 | + | 0.0518362i | ||||
\(817\) | 1.58476 | − | 0.465329i | 0.0554439 | − | 0.0162798i | ||||
\(818\) | −5.38775 | + | 11.7975i | −0.188378 | + | 0.412491i | ||||
\(819\) | 0.743893 | + | 5.17389i | 0.0259937 | + | 0.180790i | ||||
\(820\) | −21.5310 | − | 24.8481i | −0.751896 | − | 0.867735i | ||||
\(821\) | −3.81874 | − | 8.36187i | −0.133275 | − | 0.291831i | 0.831215 | − | 0.555951i | \(-0.187646\pi\) |
−0.964490 | + | 0.264120i | \(0.914919\pi\) | |||||||
\(822\) | −7.63973 | + | 4.90976i | −0.266466 | + | 0.171248i | ||||
\(823\) | 3.36010 | − | 23.3700i | 0.117126 | − | 0.814627i | −0.843569 | − | 0.537021i | \(-0.819550\pi\) |
0.960695 | − | 0.277607i | \(-0.0895412\pi\) | |||||||
\(824\) | 2.67459 | + | 1.71886i | 0.0931738 | + | 0.0598792i | ||||
\(825\) | −2.21637 | + | 2.55783i | −0.0771643 | + | 0.0890523i | ||||
\(826\) | −4.74479 | − | 1.39320i | −0.165092 | − | 0.0484755i | ||||
\(827\) | −6.54789 | −0.227693 | −0.113846 | − | 0.993498i | \(-0.536317\pi\) | ||||
−0.113846 | + | 0.993498i | \(0.536317\pi\) | |||||||
\(828\) | 5.23616 | + | 6.10198i | 0.181969 | + | 0.212058i | ||||
\(829\) | 19.9754 | 0.693774 | 0.346887 | − | 0.937907i | \(-0.387239\pi\) | ||||
0.346887 | + | 0.937907i | \(0.387239\pi\) | |||||||
\(830\) | 9.07457 | + | 2.66453i | 0.314983 | + | 0.0924873i | ||||
\(831\) | −19.2611 | + | 22.2285i | −0.668160 | + | 0.771098i | ||||
\(832\) | −5.49739 | − | 3.53296i | −0.190588 | − | 0.122483i | ||||
\(833\) | −0.345632 | + | 2.40392i | −0.0119754 | + | 0.0832909i | ||||
\(834\) | 4.36899 | − | 2.80778i | 0.151286 | − | 0.0972256i | ||||
\(835\) | 6.12582 | + | 13.4137i | 0.211993 | + | 0.464200i | ||||
\(836\) | −4.45135 | − | 5.13713i | −0.153953 | − | 0.177671i | ||||
\(837\) | −1.33620 | − | 9.29347i | −0.0461858 | − | 0.321229i | ||||
\(838\) | 4.36812 | − | 9.56485i | 0.150894 | − | 0.330412i | ||||
\(839\) | 33.3048 | − | 9.77918i | 1.14981 | − | 0.337615i | 0.349345 | − | 0.936994i | \(-0.386404\pi\) |
0.800465 | + | 0.599379i | \(0.204586\pi\) | |||||||
\(840\) | −4.78283 | + | 1.40436i | −0.165023 | + | 0.0484552i | ||||
\(841\) | −10.7157 | + | 23.4641i | −0.369506 | + | 0.809106i | ||||
\(842\) | −2.01490 | − | 14.0139i | −0.0694380 | − | 0.482952i | ||||
\(843\) | 8.13247 | + | 9.38537i | 0.280097 | + | 0.323249i | ||||
\(844\) | −16.0559 | − | 35.1575i | −0.552667 | − | 1.21017i | ||||
\(845\) | 28.7253 | − | 18.4606i | 0.988180 | − | 0.635065i | ||||
\(846\) | 0.117544 | − | 0.817539i | 0.00404126 | − | 0.0281076i | ||||
\(847\) | −11.3577 | − | 7.29918i | −0.390257 | − | 0.250803i | ||||
\(848\) | −5.67467 | + | 6.54892i | −0.194869 | + | 0.224891i | ||||
\(849\) | 26.1775 | + | 7.68642i | 0.898410 | + | 0.263797i | ||||
\(850\) | 0.944380 | 0.0323920 | ||||||||
\(851\) | −42.5231 | − | 12.7086i | −1.45767 | − | 0.435647i | ||||
\(852\) | 5.12464 | 0.175567 | ||||||||
\(853\) | −22.5154 | − | 6.61111i | −0.770912 | − | 0.226360i | −0.127457 | − | 0.991844i | \(-0.540681\pi\) |
−0.643455 | + | 0.765484i | \(0.722500\pi\) | |||||||
\(854\) | 1.19080 | − | 1.37425i | 0.0407483 | − | 0.0470260i | ||||
\(855\) | −1.64275 | − | 1.05573i | −0.0561807 | − | 0.0361052i | ||||
\(856\) | 4.13328 | − | 28.7476i | 0.141273 | − | 0.982572i | ||||
\(857\) | −30.9974 | + | 19.9208i | −1.05885 | + | 0.680482i | −0.949578 | − | 0.313530i | \(-0.898488\pi\) |
−0.109272 | + | 0.994012i | \(0.534852\pi\) | |||||||
\(858\) | 6.11244 | + | 13.3844i | 0.208675 | + | 0.456935i | ||||
\(859\) | 24.4180 | + | 28.1798i | 0.833130 | + | 0.961483i | 0.999699 | − | 0.0245464i | \(-0.00781415\pi\) |
−0.166569 | + | 0.986030i | \(0.553269\pi\) | |||||||
\(860\) | 1.14707 | + | 7.97806i | 0.0391148 | + | 0.272049i | ||||
\(861\) | 3.41708 | − | 7.48236i | 0.116454 | − | 0.254998i | ||||
\(862\) | 12.4311 | − | 3.65009i | 0.423404 | − | 0.124323i | ||||
\(863\) | −49.7726 | + | 14.6146i | −1.69428 | + | 0.497485i | −0.979429 | − | 0.201791i | \(-0.935324\pi\) |
−0.714851 | + | 0.699276i | \(0.753506\pi\) | |||||||
\(864\) | 2.24841 | − | 4.92333i | 0.0764924 | − | 0.167495i | ||||
\(865\) | −3.21530 | − | 22.3629i | −0.109323 | − | 0.760360i | ||||
\(866\) | −2.61461 | − | 3.01742i | −0.0888481 | − | 0.102536i | ||||
\(867\) | −4.61181 | − | 10.0985i | −0.156625 | − | 0.342962i | ||||
\(868\) | 13.2426 | − | 8.51050i | 0.449483 | − | 0.288865i | ||||
\(869\) | 0.496315 | − | 3.45195i | 0.0168363 | − | 0.117099i | ||||
\(870\) | 2.04188 | + | 1.31224i | 0.0692263 | + | 0.0444891i | ||||
\(871\) | 33.5360 | − | 38.7027i | 1.13633 | − | 1.31139i | ||||
\(872\) | −5.83243 | − | 1.71256i | −0.197511 | − | 0.0579944i | ||||
\(873\) | 13.3102 | 0.450482 | ||||||||
\(874\) | 2.14645 | − | 0.619043i | 0.0726047 | − | 0.0209394i | ||||
\(875\) | 10.2902 | 0.347872 | ||||||||
\(876\) | −19.3319 | − | 5.67636i | −0.653164 | − | 0.191786i | ||||
\(877\) | −10.4452 | + | 12.0544i | −0.352710 | + | 0.407050i | −0.904184 | − | 0.427143i | \(-0.859520\pi\) |
0.551474 | + | 0.834192i | \(0.314066\pi\) | |||||||
\(878\) | 9.91946 | + | 6.37485i | 0.334765 | + | 0.215141i | ||||
\(879\) | 0.413218 | − | 2.87400i | 0.0139375 | − | 0.0969375i | ||||
\(880\) | 21.4840 | − | 13.8069i | 0.724224 | − | 0.465431i | ||||
\(881\) | 0.276123 | + | 0.604625i | 0.00930282 | + | 0.0203703i | 0.914226 | − | 0.405204i | \(-0.132799\pi\) |
−0.904924 | + | 0.425574i | \(0.860072\pi\) | |||||||
\(882\) | −0.372417 | − | 0.429792i | −0.0125399 | − | 0.0144719i | ||||
\(883\) | 6.98758 | + | 48.5997i | 0.235151 | + | 1.63551i | 0.675270 | + | 0.737571i | \(0.264027\pi\) |
−0.440119 | + | 0.897940i | \(0.645064\pi\) | |||||||
\(884\) | −8.84161 | + | 19.3604i | −0.297375 | + | 0.651161i | ||||
\(885\) | 19.8909 | − | 5.84049i | 0.668624 | − | 0.196326i | ||||
\(886\) | 20.5497 | − | 6.03393i | 0.690380 | − | 0.202714i | ||||
\(887\) | −3.70818 | + | 8.11979i | −0.124509 | + | 0.272636i | −0.961614 | − | 0.274406i | \(-0.911519\pi\) |
0.837105 | + | 0.547042i | \(0.184246\pi\) | |||||||
\(888\) | 2.75368 | + | 19.1523i | 0.0924076 | + | 0.642709i | ||||
\(889\) | 11.2025 | + | 12.9284i | 0.375721 | + | 0.433605i | ||||
\(890\) | −2.10814 | − | 4.61617i | −0.0706649 | − | 0.154734i | ||||
\(891\) | 4.16408 | − | 2.67609i | 0.139502 | − | 0.0896523i | ||||
\(892\) | −6.16474 | + | 42.8767i | −0.206411 | + | 1.43562i | ||||
\(893\) | 1.00075 | + | 0.643140i | 0.0334887 | + | 0.0215219i | ||||
\(894\) | 2.82490 | − | 3.26011i | 0.0944788 | − | 0.109034i | ||||
\(895\) | −41.8175 | − | 12.2787i | −1.39781 | − | 0.410433i | ||||
\(896\) | 11.5358 | 0.385386 | ||||||||
\(897\) | 25.0680 | + | 0.120713i | 0.836995 | + | 0.00403050i | ||||
\(898\) | 14.7047 | 0.490703 | ||||||||
\(899\) | −16.1276 | − | 4.73548i | −0.537884 | − | 0.157937i | ||||
\(900\) | 0.750718 | − | 0.866375i | 0.0250239 | − | 0.0288792i | ||||
\(901\) | 8.18095 | + | 5.25758i | 0.272547 | + | 0.175155i | ||||
\(902\) | 3.29530 | − | 22.9193i | 0.109722 | − | 0.763130i | ||||
\(903\) | −1.69638 | + | 1.09020i | −0.0564521 | + | 0.0362796i | ||||
\(904\) | 7.07397 | + | 15.4898i | 0.235277 | + | 0.515184i | ||||
\(905\) | 35.4161 | + | 40.8724i | 1.17727 | + | 1.35864i | ||||
\(906\) | −0.530627 | − | 3.69059i | −0.0176289 | − | 0.122612i | ||||
\(907\) | 3.61369 | − | 7.91288i | 0.119991 | − | 0.262743i | −0.840100 | − | 0.542431i | \(-0.817504\pi\) |
0.960091 | + | 0.279688i | \(0.0902312\pi\) | |||||||
\(908\) | 36.8915 | − | 10.8323i | 1.22429 | − | 0.359483i | ||||
\(909\) | −9.48683 | + | 2.78559i | −0.314658 | + | 0.0923920i | ||||
\(910\) | −2.94402 | + | 6.44651i | −0.0975934 | + | 0.213700i | ||||
\(911\) | 0.428902 | + | 2.98308i | 0.0142102 | + | 0.0988339i | 0.995692 | − | 0.0927204i | \(-0.0295563\pi\) |
−0.981482 | + | 0.191554i | \(0.938647\pi\) | |||||||
\(912\) | 1.16079 | + | 1.33962i | 0.0384375 | + | 0.0443592i | ||||
\(913\) | −14.3436 | − | 31.4082i | −0.474706 | − | 1.03946i | ||||
\(914\) | 12.4146 | − | 7.97840i | 0.410639 | − | 0.263902i | ||||
\(915\) | −1.08487 | + | 7.54542i | −0.0358646 | + | 0.249444i | ||||
\(916\) | 21.0946 | + | 13.5567i | 0.696984 | + | 0.447925i | ||||
\(917\) | −10.1640 | + | 11.7299i | −0.335644 | + | 0.387354i | ||||
\(918\) | −1.32521 | − | 0.389118i | −0.0437386 | − | 0.0128428i | ||||
\(919\) | −0.905908 | −0.0298832 | −0.0149416 | − | 0.999888i | \(-0.504756\pi\) | ||||
−0.0149416 | + | 0.999888i | \(0.504756\pi\) | |||||||
\(920\) | 3.28819 | + | 23.6788i | 0.108409 | + | 0.780666i | ||||
\(921\) | 27.2879 | 0.899166 | ||||||||
\(922\) | 3.92004 | + | 1.15103i | 0.129100 | + | 0.0379070i | ||||
\(923\) | 10.4628 | − | 12.0747i | 0.344387 | − | 0.397444i | ||||
\(924\) | 6.98142 | + | 4.48669i | 0.229672 | + | 0.147601i | ||||
\(925\) | −0.900516 | + | 6.26323i | −0.0296088 | + | 0.205934i | ||||
\(926\) | 0.656920 | − | 0.422177i | 0.0215877 | − | 0.0138736i | ||||
\(927\) | −0.631666 | − | 1.38316i | −0.0207466 | − | 0.0454288i | ||||
\(928\) | −6.34523 | − | 7.32279i | −0.208293 | − | 0.240382i | ||||
\(929\) | −1.25809 | − | 8.75019i | −0.0412765 | − | 0.287084i | −0.999996 | − | 0.00273181i | \(-0.999130\pi\) |
0.958720 | − | 0.284353i | \(-0.0917787\pi\) | |||||||
\(930\) | 5.28812 | − | 11.5794i | 0.173404 | − | 0.379703i | ||||
\(931\) | 0.785900 | − | 0.230761i | 0.0257568 | − | 0.00756289i | ||||
\(932\) | −30.8337 | + | 9.05360i | −1.00999 | + | 0.296560i | ||||
\(933\) | 6.85772 | − | 15.0163i | 0.224512 | − | 0.491612i | ||||
\(934\) | −1.28673 | − | 8.94942i | −0.0421032 | − | 0.292834i | ||||
\(935\) | −18.7682 | − | 21.6596i | −0.613785 | − | 0.708345i | ||||
\(936\) | −4.54012 | − | 9.94149i | −0.148399 | − | 0.324948i | ||||
\(937\) | −45.6696 | + | 29.3500i | −1.49196 | + | 0.958824i | −0.496067 | + | 0.868284i | \(0.665223\pi\) |
−0.995893 | + | 0.0905396i | \(0.971141\pi\) | |||||||
\(938\) | −0.792927 | + | 5.51493i | −0.0258900 | + | 0.180069i | ||||
\(939\) | −19.9326 | − | 12.8099i | −0.650477 | − | 0.418036i | ||||
\(940\) | −3.80157 | + | 4.38725i | −0.123994 | + | 0.143096i | ||||
\(941\) | 55.5197 | + | 16.3021i | 1.80989 | + | 0.531432i | 0.998585 | − | 0.0531881i | \(-0.0169383\pi\) |
0.811307 | + | 0.584620i | \(0.198756\pi\) | |||||||
\(942\) | −5.11269 | −0.166580 | ||||||||
\(943\) | −33.0836 | − | 21.4873i | −1.07735 | − | 0.699724i | ||||
\(944\) | −18.8179 | −0.612472 | ||||||||
\(945\) | 2.28749 | + | 0.671668i | 0.0744121 | + | 0.0218494i | ||||
\(946\) | −3.71722 | + | 4.28990i | −0.120857 | + | 0.139477i | ||||
\(947\) | 5.78625 | + | 3.71860i | 0.188028 | + | 0.120838i | 0.631268 | − | 0.775565i | \(-0.282535\pi\) |
−0.443240 | + | 0.896403i | \(0.646171\pi\) | |||||||
\(948\) | −0.168109 | + | 1.16922i | −0.00545993 | + | 0.0379746i | ||||
\(949\) | −52.8439 | + | 33.9607i | −1.71538 | + | 1.10241i | ||||
\(950\) | −0.132310 | − | 0.289717i | −0.00429269 | − | 0.00939968i | ||||
\(951\) | −15.0466 | − | 17.3646i | −0.487918 | − | 0.563087i | ||||
\(952\) | −0.722668 | − | 5.02626i | −0.0234218 | − | 0.162902i | ||||
\(953\) | −17.7510 | + | 38.8693i | −0.575011 | + | 1.25910i | 0.369075 | + | 0.929400i | \(0.379675\pi\) |
−0.944086 | + | 0.329699i | \(0.893053\pi\) | |||||||
\(954\) | −2.18492 | + | 0.641551i | −0.0707395 | + | 0.0207710i | ||||
\(955\) | 18.4099 | − | 5.40563i | 0.595730 | − | 0.174922i | ||||
\(956\) | −12.9245 | + | 28.3008i | −0.418009 | + | 0.915313i | ||||
\(957\) | −1.26109 | − | 8.77110i | −0.0407654 | − | 0.283529i | ||||
\(958\) | 3.23033 | + | 3.72800i | 0.104367 | + | 0.120446i | ||||
\(959\) | 6.63365 | + | 14.5257i | 0.214212 | + | 0.469059i | ||||
\(960\) | −2.50734 | + | 1.61137i | −0.0809241 | + | 0.0520068i | ||||
\(961\) | −8.13386 | + | 56.5723i | −0.262383 | + | 1.82491i | ||||
\(962\) | 23.1423 | + | 14.8727i | 0.746138 | + | 0.479514i | ||||
\(963\) | −9.09638 | + | 10.4978i | −0.293127 | + | 0.338286i | ||||
\(964\) | −35.9559 | − | 10.5576i | −1.15806 | − | 0.340038i | ||||
\(965\) | 40.1301 | 1.29183 | ||||||||
\(966\) | −2.30149 | + | 1.46346i | −0.0740491 | + | 0.0470862i | ||||
\(967\) | 27.8417 | 0.895330 | 0.447665 | − | 0.894201i | \(-0.352256\pi\) | ||||
0.447665 | + | 0.894201i | \(0.352256\pi\) | |||||||
\(968\) | 27.0852 | + | 7.95293i | 0.870551 | + | 0.255617i | ||||
\(969\) | 1.30268 | − | 1.50337i | 0.0418481 | − | 0.0482953i | ||||
\(970\) | 15.1813 | + | 9.75645i | 0.487443 | + | 0.313261i | ||||
\(971\) | 8.05664 | − | 56.0351i | 0.258550 | − | 1.79825i | −0.284631 | − | 0.958637i | \(-0.591871\pi\) |
0.543180 | − | 0.839616i | \(-0.317220\pi\) | |||||||
\(972\) | −1.41043 | + | 0.906430i | −0.0452396 | + | 0.0290738i | ||||
\(973\) | −3.79364 | − | 8.30691i | −0.121619 | − | 0.266307i | ||||
\(974\) | −10.2737 | − | 11.8565i | −0.329190 | − | 0.379906i | ||||
\(975\) | −0.508643 | − | 3.53769i | −0.0162896 | − | 0.113297i | ||||
\(976\) | 2.87454 | − | 6.29437i | 0.0920118 | − | 0.201478i | ||||
\(977\) | −46.8181 | + | 13.7470i | −1.49784 | + | 0.439806i | −0.925035 | − | 0.379883i | \(-0.875964\pi\) |
−0.572808 | + | 0.819689i | \(0.694146\pi\) | |||||||
\(978\) | 5.24439 | − | 1.53989i | 0.167697 | − | 0.0492403i | ||||
\(979\) | −7.69647 | + | 16.8529i | −0.245980 | + | 0.538622i | ||||
\(980\) | 0.568844 | + | 3.95640i | 0.0181711 | + | 0.126383i | ||||
\(981\) | 1.90384 | + | 2.19715i | 0.0607851 | + | 0.0701497i | ||||
\(982\) | 4.86747 | + | 10.6583i | 0.155327 | + | 0.340119i | ||||
\(983\) | 17.1100 | − | 10.9960i | 0.545725 | − | 0.350716i | −0.238549 | − | 0.971130i | \(-0.576672\pi\) |
0.784274 | + | 0.620414i | \(0.213035\pi\) | |||||||
\(984\) | −2.44764 | + | 17.0237i | −0.0780280 | + | 0.542697i | ||||
\(985\) | −0.0794403 | − | 0.0510532i | −0.00253118 | − | 0.00162669i | ||||
\(986\) | −1.61919 | + | 1.86865i | −0.0515656 | + | 0.0595099i | ||||
\(987\) | −1.39352 | − | 0.409174i | −0.0443562 | − | 0.0130241i | ||||
\(988\) | 7.17813 | 0.228367 | ||||||||
\(989\) | 3.97498 | + | 8.81608i | 0.126397 | + | 0.280335i | ||||
\(990\) | 6.71104 | 0.213291 | ||||||||
\(991\) | 23.5183 | + | 6.90559i | 0.747083 | + | 0.219363i | 0.633047 | − | 0.774113i | \(-0.281804\pi\) |
0.114036 | + | 0.993477i | \(0.463622\pi\) | |||||||
\(992\) | −33.2784 | + | 38.4054i | −1.05659 | + | 1.21937i | ||||
\(993\) | −11.0357 | − | 7.09224i | −0.350209 | − | 0.225065i | ||||
\(994\) | −0.247383 | + | 1.72058i | −0.00784650 | + | 0.0545736i | ||||
\(995\) | 22.0830 | − | 14.1919i | 0.700077 | − | 0.449912i | ||||
\(996\) | 4.85840 | + | 10.6384i | 0.153944 | + | 0.337091i | ||||
\(997\) | 4.57334 | + | 5.27792i | 0.144839 | + | 0.167153i | 0.823534 | − | 0.567267i | \(-0.191999\pi\) |
−0.678694 | + | 0.734421i | \(0.737454\pi\) | |||||||
\(998\) | 0.278258 | + | 1.93533i | 0.00880811 | + | 0.0612617i | ||||
\(999\) | 3.84433 | − | 8.41791i | 0.121629 | − | 0.266331i |
(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 | 483.2.q.f.64.4 | ✓ | 80 | |
23.9 | even | 11 | inner | 483.2.q.f.400.4 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.q.f.64.4 | ✓ | 80 | 1.1 | even | 1 | trivial | |
483.2.q.f.400.4 | yes | 80 | 23.9 | even | 11 | inner |