Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), degree \(6\), 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: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 51.5 | ||
Character | \(\chi\) | \(=\) | 76.51 |
Dual form | 76.2.k.a.3.5 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.223323 | + | 1.39647i | 0.157913 | + | 0.987453i | ||||
\(3\) | 0.855656 | + | 0.311433i | 0.494013 | + | 0.179806i | 0.576999 | − | 0.816745i | \(-0.304223\pi\) |
−0.0829861 | + | 0.996551i | \(0.526446\pi\) | |||||||
\(4\) | −1.90025 | + | 0.623726i | −0.950127 | + | 0.311863i | ||||
\(5\) | −0.00805719 | − | 0.0456946i | −0.00360328 | − | 0.0204352i | 0.982953 | − | 0.183856i | \(-0.0588582\pi\) |
−0.986556 | + | 0.163421i | \(0.947747\pi\) | |||||||
\(6\) | −0.243820 | + | 1.26445i | −0.0995390 | + | 0.516209i | ||||
\(7\) | 1.20959 | + | 0.698356i | 0.457181 | + | 0.263954i | 0.710858 | − | 0.703335i | \(-0.248307\pi\) |
−0.253677 | + | 0.967289i | \(0.581640\pi\) | |||||||
\(8\) | −1.29538 | − | 2.51435i | −0.457988 | − | 0.888959i | ||||
\(9\) | −1.66298 | − | 1.39540i | −0.554326 | − | 0.465134i | ||||
\(10\) | 0.0620117 | − | 0.0214562i | 0.0196098 | − | 0.00678506i | ||||
\(11\) | 1.13484 | − | 0.655201i | 0.342167 | − | 0.197550i | −0.319063 | − | 0.947734i | \(-0.603368\pi\) |
0.661230 | + | 0.750183i | \(0.270035\pi\) | |||||||
\(12\) | −1.82021 | − | 0.0581071i | −0.525450 | − | 0.0167741i | ||||
\(13\) | −0.681875 | − | 1.87343i | −0.189118 | − | 0.519597i | 0.808506 | − | 0.588488i | \(-0.200276\pi\) |
−0.997624 | + | 0.0688902i | \(0.978054\pi\) | |||||||
\(14\) | −0.705104 | + | 1.84511i | −0.188447 | + | 0.493127i | ||||
\(15\) | 0.00733663 | − | 0.0416081i | 0.00189431 | − | 0.0107432i | ||||
\(16\) | 3.22193 | − | 2.37048i | 0.805483 | − | 0.592619i | ||||
\(17\) | −0.910294 | + | 0.763828i | −0.220779 | + | 0.185255i | −0.746468 | − | 0.665421i | \(-0.768252\pi\) |
0.525689 | + | 0.850677i | \(0.323807\pi\) | |||||||
\(18\) | 1.57726 | − | 2.63392i | 0.371763 | − | 0.620821i | ||||
\(19\) | 4.35476 | + | 0.189811i | 0.999051 | + | 0.0435456i | ||||
\(20\) | 0.0438116 | + | 0.0818058i | 0.00979658 | + | 0.0182923i | ||||
\(21\) | 0.817500 | + | 0.974258i | 0.178393 | + | 0.212601i | ||||
\(22\) | 1.16840 | + | 1.43845i | 0.249105 | + | 0.306679i | ||||
\(23\) | −8.42847 | − | 1.48617i | −1.75746 | − | 0.309887i | −0.800331 | − | 0.599559i | \(-0.795343\pi\) |
−0.957126 | + | 0.289672i | \(0.906454\pi\) | |||||||
\(24\) | −0.325350 | − | 2.55485i | −0.0664118 | − | 0.521506i | ||||
\(25\) | 4.69644 | − | 1.70936i | 0.939288 | − | 0.341873i | ||||
\(26\) | 2.46392 | − | 1.37060i | 0.483214 | − | 0.268796i | ||||
\(27\) | −2.35422 | − | 4.07762i | −0.453069 | − | 0.784739i | ||||
\(28\) | −2.73411 | − | 0.572602i | −0.516698 | − | 0.108212i | ||||
\(29\) | −3.45448 | + | 4.11689i | −0.641480 | + | 0.764487i | −0.984603 | − | 0.174804i | \(-0.944071\pi\) |
0.343123 | + | 0.939291i | \(0.388515\pi\) | |||||||
\(30\) | 0.0597429 | 0.000953352i | 0.0109075 | 0.000174057i | ||||||
\(31\) | −3.06782 | + | 5.31361i | −0.550996 | + | 0.954353i | 0.447207 | + | 0.894431i | \(0.352419\pi\) |
−0.998203 | + | 0.0599227i | \(0.980915\pi\) | |||||||
\(32\) | 4.02983 | + | 3.96995i | 0.712380 | + | 0.701794i | ||||
\(33\) | 1.17509 | − | 0.207199i | 0.204556 | − | 0.0360688i | ||||
\(34\) | −1.26995 | − | 1.10062i | −0.217795 | − | 0.188754i | ||||
\(35\) | 0.0221652 | − | 0.0608984i | 0.00374660 | − | 0.0102937i | ||||
\(36\) | 4.03043 | + | 1.61438i | 0.671738 | + | 0.269063i | ||||
\(37\) | 4.41365i | 0.725599i | 0.931867 | + | 0.362800i | \(0.118179\pi\) | ||||
−0.931867 | + | 0.362800i | \(0.881821\pi\) | |||||||
\(38\) | 0.707452 | + | 6.12368i | 0.114764 | + | 0.993393i | ||||
\(39\) | − | 1.81537i | − | 0.290693i | ||||||
\(40\) | −0.104455 | + | 0.0794507i | −0.0165158 | + | 0.0125623i | ||||
\(41\) | −2.39968 | + | 6.59307i | −0.374767 | + | 1.02966i | 0.598727 | + | 0.800953i | \(0.295673\pi\) |
−0.973494 | + | 0.228712i | \(0.926549\pi\) | |||||||
\(42\) | −1.17796 | + | 1.35919i | −0.181763 | + | 0.209727i | ||||
\(43\) | 0.406170 | − | 0.0716188i | 0.0619404 | − | 0.0109218i | −0.142592 | − | 0.989782i | \(-0.545544\pi\) |
0.204532 | + | 0.978860i | \(0.434433\pi\) | |||||||
\(44\) | −1.74782 | + | 1.95288i | −0.263494 | + | 0.294408i | ||||
\(45\) | −0.0503634 | + | 0.0872320i | −0.00750774 | + | 0.0130038i | ||||
\(46\) | 0.193118 | − | 12.1020i | 0.0284737 | − | 1.78434i | ||||
\(47\) | −5.36271 | + | 6.39102i | −0.782231 | + | 0.932227i | −0.999032 | − | 0.0439892i | \(-0.985993\pi\) |
0.216801 | + | 0.976216i | \(0.430438\pi\) | |||||||
\(48\) | 3.49511 | − | 1.02490i | 0.504476 | − | 0.147931i | ||||
\(49\) | −2.52460 | − | 4.37273i | −0.360657 | − | 0.624676i | ||||
\(50\) | 3.43590 | + | 6.17670i | 0.485909 | + | 0.873517i | ||||
\(51\) | −1.01678 | + | 0.370078i | −0.142378 | + | 0.0518213i | ||||
\(52\) | 2.46425 | + | 3.13470i | 0.341729 | + | 0.434705i | ||||
\(53\) | 5.17907 | + | 0.913210i | 0.711400 | + | 0.125439i | 0.517626 | − | 0.855607i | \(-0.326816\pi\) |
0.193774 | + | 0.981046i | \(0.437927\pi\) | |||||||
\(54\) | 5.16853 | − | 4.19822i | 0.703347 | − | 0.571305i | ||||
\(55\) | −0.0390828 | − | 0.0465770i | −0.00526992 | − | 0.00628044i | ||||
\(56\) | 0.189033 | − | 3.94597i | 0.0252606 | − | 0.527303i | ||||
\(57\) | 3.66707 | + | 1.51863i | 0.485715 | + | 0.201148i | ||||
\(58\) | −6.52057 | − | 3.90468i | −0.856193 | − | 0.512709i | ||||
\(59\) | 8.98054 | − | 7.53557i | 1.16917 | − | 0.981048i | 0.169178 | − | 0.985586i | \(-0.445889\pi\) |
0.999990 | + | 0.00453778i | \(0.00144442\pi\) | |||||||
\(60\) | 0.0120106 | + | 0.0836420i | 0.00155056 | + | 0.0107981i | ||||
\(61\) | 2.12915 | − | 12.0750i | 0.272610 | − | 1.54605i | −0.473841 | − | 0.880610i | \(-0.657133\pi\) |
0.746452 | − | 0.665440i | \(-0.231756\pi\) | |||||||
\(62\) | −8.10541 | − | 3.09746i | −1.02939 | − | 0.393378i | ||||
\(63\) | −1.03703 | − | 2.84921i | −0.130653 | − | 0.358967i | ||||
\(64\) | −4.64396 | + | 6.51411i | −0.580495 | + | 0.814264i | ||||
\(65\) | −0.0801118 | + | 0.0462526i | −0.00993665 | + | 0.00573693i | ||||
\(66\) | 0.551770 | + | 1.59470i | 0.0679182 | + | 0.196294i | ||||
\(67\) | 8.40871 | + | 7.05575i | 1.02729 | + | 0.861997i | 0.990526 | − | 0.137327i | \(-0.0438511\pi\) |
0.0367622 | + | 0.999324i | \(0.488296\pi\) | |||||||
\(68\) | 1.25337 | − | 2.01924i | 0.151994 | − | 0.244869i | ||||
\(69\) | −6.74903 | − | 3.89655i | −0.812487 | − | 0.469090i | ||||
\(70\) | 0.0899927 | + | 0.0173530i | 0.0107562 | + | 0.00207408i | ||||
\(71\) | −1.06152 | − | 6.02019i | −0.125979 | − | 0.714465i | −0.980721 | − | 0.195412i | \(-0.937396\pi\) |
0.854742 | − | 0.519053i | \(-0.173715\pi\) | |||||||
\(72\) | −1.35434 | + | 5.98890i | −0.159611 | + | 0.705798i | ||||
\(73\) | −6.09478 | − | 2.21832i | −0.713341 | − | 0.259635i | −0.0402446 | − | 0.999190i | \(-0.512814\pi\) |
−0.673096 | + | 0.739555i | \(0.735036\pi\) | |||||||
\(74\) | −6.16352 | + | 0.985667i | −0.716495 | + | 0.114581i | ||||
\(75\) | 4.55089 | 0.525492 | ||||||||
\(76\) | −8.39355 | + | 2.35549i | −0.962806 | + | 0.270194i | ||||
\(77\) | 1.83025 | 0.208577 | ||||||||
\(78\) | 2.53511 | − | 0.405414i | 0.287045 | − | 0.0459041i | ||||
\(79\) | 10.3375 | + | 3.76254i | 1.16306 | + | 0.423319i | 0.850189 | − | 0.526477i | \(-0.176488\pi\) |
0.312870 | + | 0.949796i | \(0.398710\pi\) | |||||||
\(80\) | −0.134278 | − | 0.128125i | −0.0150127 | − | 0.0143249i | ||||
\(81\) | 0.386407 | + | 2.19142i | 0.0429341 | + | 0.243491i | ||||
\(82\) | −9.74293 | − | 1.87870i | −1.07593 | − | 0.207468i | ||||
\(83\) | 0.635962 | + | 0.367173i | 0.0698060 | + | 0.0403025i | 0.534497 | − | 0.845171i | \(-0.320501\pi\) |
−0.464691 | + | 0.885473i | \(0.653835\pi\) | |||||||
\(84\) | −2.16113 | − | 1.34144i | −0.235798 | − | 0.146363i | ||||
\(85\) | 0.0422372 | + | 0.0354412i | 0.00458127 | + | 0.00384414i | ||||
\(86\) | 0.190720 | + | 0.551210i | 0.0205659 | + | 0.0594385i | ||||
\(87\) | −4.23798 | + | 2.44680i | −0.454359 | + | 0.262324i | ||||
\(88\) | −3.11746 | − | 2.00466i | −0.332323 | − | 0.213697i | ||||
\(89\) | −4.73119 | − | 12.9988i | −0.501506 | − | 1.37788i | −0.889805 | − | 0.456342i | \(-0.849159\pi\) |
0.388299 | − | 0.921533i | \(-0.373063\pi\) | |||||||
\(90\) | −0.133064 | − | 0.0508501i | −0.0140262 | − | 0.00536007i | ||||
\(91\) | 0.483537 | − | 2.74227i | 0.0506885 | − | 0.287469i | ||||
\(92\) | 16.9432 | − | 2.43296i | 1.76645 | − | 0.253654i | ||||
\(93\) | −4.27983 | + | 3.59121i | −0.443798 | + | 0.372391i | ||||
\(94\) | −10.1225 | − | 6.06159i | −1.04405 | − | 0.625206i | ||||
\(95\) | −0.0264138 | − | 0.200518i | −0.00271000 | − | 0.0205728i | ||||
\(96\) | 2.21177 | + | 4.65193i | 0.225738 | + | 0.474786i | ||||
\(97\) | 5.45960 | + | 6.50649i | 0.554338 | + | 0.660634i | 0.968338 | − | 0.249642i | \(-0.0803131\pi\) |
−0.414000 | + | 0.910277i | \(0.635869\pi\) | |||||||
\(98\) | 5.54259 | − | 4.50205i | 0.559886 | − | 0.454776i | ||||
\(99\) | −2.80148 | − | 0.493977i | −0.281560 | − | 0.0496466i | ||||
\(100\) | −7.85825 | + | 6.17752i | −0.785825 | + | 0.617752i | ||||
\(101\) | 9.90522 | − | 3.60521i | 0.985606 | − | 0.358731i | 0.201589 | − | 0.979470i | \(-0.435389\pi\) |
0.784017 | + | 0.620739i | \(0.213167\pi\) | |||||||
\(102\) | −0.743872 | − | 1.33726i | −0.0736543 | − | 0.132408i | ||||
\(103\) | −0.289877 | − | 0.502082i | −0.0285624 | − | 0.0494716i | 0.851391 | − | 0.524532i | \(-0.175760\pi\) |
−0.879953 | + | 0.475060i | \(0.842426\pi\) | |||||||
\(104\) | −3.82719 | + | 4.14129i | −0.375287 | + | 0.406087i | ||||
\(105\) | 0.0379316 | − | 0.0452051i | 0.00370174 | − | 0.00441157i | ||||
\(106\) | −0.118666 | + | 7.43635i | −0.0115259 | + | 0.722282i | ||||
\(107\) | −0.422452 | + | 0.731708i | −0.0408400 | + | 0.0707369i | −0.885723 | − | 0.464214i | \(-0.846337\pi\) |
0.844883 | + | 0.534951i | \(0.179670\pi\) | |||||||
\(108\) | 7.01693 | + | 6.28013i | 0.675204 | + | 0.604306i | ||||
\(109\) | 7.99713 | − | 1.41011i | 0.765986 | − | 0.135064i | 0.223014 | − | 0.974815i | \(-0.428410\pi\) |
0.542971 | + | 0.839751i | \(0.317299\pi\) | |||||||
\(110\) | 0.0563153 | − | 0.0649796i | 0.00536945 | − | 0.00619556i | ||||
\(111\) | −1.37456 | + | 3.77656i | −0.130467 | + | 0.358456i | ||||
\(112\) | 5.55264 | − | 0.617246i | 0.524676 | − | 0.0583243i | ||||
\(113\) | 14.2204i | 1.33774i | 0.743378 | + | 0.668872i | \(0.233223\pi\) | ||||
−0.743378 | + | 0.668872i | \(0.766777\pi\) | |||||||
\(114\) | −1.30178 | + | 5.46009i | −0.121923 | + | 0.511384i | ||||
\(115\) | 0.397110i | 0.0370307i | ||||||||
\(116\) | 3.99657 | − | 9.97778i | 0.371073 | − | 0.926413i | ||||
\(117\) | −1.48026 | + | 4.06697i | −0.136850 | + | 0.375991i | ||||
\(118\) | 12.5288 | + | 10.8582i | 1.15337 | + | 0.999578i | ||||
\(119\) | −1.63450 | + | 0.288207i | −0.149835 | + | 0.0264199i | ||||
\(120\) | −0.114121 | + | 0.0354516i | −0.0104178 | + | 0.00323628i | ||||
\(121\) | −4.64142 | + | 8.03918i | −0.421948 | + | 0.730835i | ||||
\(122\) | 17.3379 | + | 0.276671i | 1.56970 | + | 0.0250486i | ||||
\(123\) | −4.10660 | + | 4.89406i | −0.370280 | + | 0.441283i | ||||
\(124\) | 2.51539 | − | 12.0107i | 0.225889 | − | 1.07859i | ||||
\(125\) | −0.231948 | − | 0.401745i | −0.0207460 | − | 0.0359332i | ||||
\(126\) | 3.74725 | − | 2.08447i | 0.333831 | − | 0.185700i | ||||
\(127\) | −12.3119 | + | 4.48118i | −1.09251 | + | 0.397641i | −0.824550 | − | 0.565790i | \(-0.808571\pi\) |
−0.267959 | + | 0.963430i | \(0.586349\pi\) | |||||||
\(128\) | −10.1339 | − | 5.03040i | −0.895715 | − | 0.444628i | ||||
\(129\) | 0.369846 | + | 0.0652139i | 0.0325632 | + | 0.00574176i | ||||
\(130\) | −0.0824811 | − | 0.101544i | −0.00723407 | − | 0.00890604i | ||||
\(131\) | 0.872574 | + | 1.03989i | 0.0762372 | + | 0.0908559i | 0.802815 | − | 0.596228i | \(-0.203335\pi\) |
−0.726578 | + | 0.687084i | \(0.758890\pi\) | |||||||
\(132\) | −2.10372 | + | 1.12666i | −0.183106 | + | 0.0980634i | ||||
\(133\) | 5.13491 | + | 3.27077i | 0.445253 | + | 0.283612i | ||||
\(134\) | −7.97528 | + | 13.3182i | −0.688959 | + | 1.15052i | ||||
\(135\) | −0.167357 | + | 0.140429i | −0.0144038 | + | 0.0120862i | ||||
\(136\) | 3.09972 | + | 1.29935i | 0.265798 | + | 0.111419i | ||||
\(137\) | 1.33938 | − | 7.59599i | 0.114431 | − | 0.648969i | −0.872600 | − | 0.488436i | \(-0.837568\pi\) |
0.987030 | − | 0.160533i | \(-0.0513213\pi\) | |||||||
\(138\) | 3.93421 | − | 10.2950i | 0.334902 | − | 0.876368i | ||||
\(139\) | −5.84051 | − | 16.0467i | −0.495386 | − | 1.36106i | −0.895690 | − | 0.444679i | \(-0.853318\pi\) |
0.400304 | − | 0.916382i | \(-0.368904\pi\) | |||||||
\(140\) | −0.00413558 | + | 0.129547i | −0.000349520 | + | 0.0109488i | ||||
\(141\) | −6.57901 | + | 3.79839i | −0.554053 | + | 0.319882i | ||||
\(142\) | 8.16995 | − | 2.82683i | 0.685607 | − | 0.237222i | ||||
\(143\) | −2.00130 | − | 1.67929i | −0.167357 | − | 0.140429i | ||||
\(144\) | −8.66577 | − | 0.553844i | −0.722147 | − | 0.0461536i | ||||
\(145\) | 0.215953 | + | 0.124680i | 0.0179339 | + | 0.0103541i | ||||
\(146\) | 1.73671 | − | 9.00658i | 0.143731 | − | 0.745390i | ||||
\(147\) | −0.798373 | − | 4.52780i | −0.0658487 | − | 0.373447i | ||||
\(148\) | −2.75291 | − | 8.38705i | −0.226288 | − | 0.689411i | ||||
\(149\) | −12.5718 | − | 4.57575i | −1.02992 | − | 0.374860i | −0.228870 | − | 0.973457i | \(-0.573503\pi\) |
−0.801051 | + | 0.598597i | \(0.795725\pi\) | |||||||
\(150\) | 1.01632 | + | 6.35518i | 0.0829819 | + | 0.518898i | ||||
\(151\) | −0.552457 | −0.0449583 | −0.0224792 | − | 0.999747i | \(-0.507156\pi\) | ||||
−0.0224792 | + | 0.999747i | \(0.507156\pi\) | |||||||
\(152\) | −5.16384 | − | 11.1953i | −0.418843 | − | 0.908059i | ||||
\(153\) | 2.57965 | 0.208552 | ||||||||
\(154\) | 0.408737 | + | 2.55589i | 0.0329370 | + | 0.205960i | ||||
\(155\) | 0.267521 | + | 0.0973698i | 0.0214878 | + | 0.00782093i | ||||
\(156\) | 1.13230 | + | 3.44967i | 0.0906563 | + | 0.276195i | ||||
\(157\) | 1.20691 | + | 6.84471i | 0.0963216 | + | 0.546267i | 0.994334 | + | 0.106298i | \(0.0338996\pi\) |
−0.898013 | + | 0.439970i | \(0.854989\pi\) | |||||||
\(158\) | −2.94568 | + | 15.2763i | −0.234345 | + | 1.21531i | ||||
\(159\) | 4.14710 | + | 2.39433i | 0.328886 | + | 0.189883i | ||||
\(160\) | 0.148936 | − | 0.216128i | 0.0117744 | − | 0.0170864i | ||||
\(161\) | −9.15710 | − | 7.68372i | −0.721680 | − | 0.605562i | ||||
\(162\) | −2.97396 | + | 1.02900i | −0.233656 | + | 0.0808458i | ||||
\(163\) | −14.1181 | + | 8.15109i | −1.10582 | + | 0.638443i | −0.937742 | − | 0.347332i | \(-0.887088\pi\) |
−0.168073 | + | 0.985775i | \(0.553755\pi\) | |||||||
\(164\) | 0.447732 | − | 14.0253i | 0.0349620 | − | 1.09519i | ||||
\(165\) | −0.0189358 | − | 0.0520256i | −0.00147415 | − | 0.00405019i | ||||
\(166\) | −0.370721 | + | 0.970100i | −0.0287735 | + | 0.0752944i | ||||
\(167\) | 2.56785 | − | 14.5630i | 0.198706 | − | 1.12692i | −0.708335 | − | 0.705876i | \(-0.750553\pi\) |
0.907041 | − | 0.421042i | \(-0.138336\pi\) | |||||||
\(168\) | 1.39065 | − | 3.31752i | 0.107291 | − | 0.255953i | ||||
\(169\) | 6.91377 | − | 5.80134i | 0.531829 | − | 0.446257i | ||||
\(170\) | −0.0400601 | + | 0.0668978i | −0.00307247 | + | 0.00513083i | ||||
\(171\) | −6.97701 | − | 6.39230i | −0.533545 | − | 0.488832i | ||||
\(172\) | −0.727156 | + | 0.389433i | −0.0554451 | + | 0.0296940i | ||||
\(173\) | −1.26345 | − | 1.50572i | −0.0960586 | − | 0.114478i | 0.715874 | − | 0.698230i | \(-0.246029\pi\) |
−0.811932 | + | 0.583752i | \(0.801584\pi\) | |||||||
\(174\) | −4.36332 | − | 5.37178i | −0.330782 | − | 0.407234i | ||||
\(175\) | 6.87450 | + | 1.21216i | 0.519663 | + | 0.0916307i | ||||
\(176\) | 2.10324 | − | 4.80113i | 0.158538 | − | 0.361899i | ||||
\(177\) | 10.0311 | − | 3.65102i | 0.753983 | − | 0.274427i | ||||
\(178\) | 17.0959 | − | 9.50990i | 1.28139 | − | 0.712797i | ||||
\(179\) | 11.4727 | + | 19.8714i | 0.857512 | + | 1.48526i | 0.874294 | + | 0.485396i | \(0.161325\pi\) |
−0.0167821 | + | 0.999859i | \(0.505342\pi\) | |||||||
\(180\) | 0.0412944 | − | 0.197176i | 0.00307790 | − | 0.0146966i | ||||
\(181\) | −13.8104 | + | 16.4586i | −1.02652 | + | 1.22336i | −0.0520937 | + | 0.998642i | \(0.516589\pi\) |
−0.974425 | + | 0.224715i | \(0.927855\pi\) | |||||||
\(182\) | 3.93749 | + | 0.0628327i | 0.291866 | + | 0.00465747i | ||||
\(183\) | 5.58239 | − | 9.66899i | 0.412662 | − | 0.714752i | ||||
\(184\) | 7.18136 | + | 23.1173i | 0.529417 | + | 1.70423i | ||||
\(185\) | 0.201680 | − | 0.0355616i | 0.0148278 | − | 0.00261454i | ||||
\(186\) | −5.97079 | − | 5.17466i | −0.437800 | − | 0.379424i | ||||
\(187\) | −0.532579 | + | 1.46325i | −0.0389460 | + | 0.107003i | ||||
\(188\) | 6.20425 | − | 15.4894i | 0.452492 | − | 1.12968i | ||||
\(189\) | − | 6.57632i | − | 0.478357i | ||||||
\(190\) | 0.274119 | − | 0.0816664i | 0.0198867 | − | 0.00592470i | ||||
\(191\) | 7.68079i | 0.555762i | 0.960615 | + | 0.277881i | \(0.0896321\pi\) | ||||
−0.960615 | + | 0.277881i | \(0.910368\pi\) | |||||||
\(192\) | −6.00234 | + | 4.12756i | −0.433182 | + | 0.297881i | ||||
\(193\) | 1.33031 | − | 3.65500i | 0.0957578 | − | 0.263093i | −0.882561 | − | 0.470199i | \(-0.844182\pi\) |
0.978318 | + | 0.207106i | \(0.0664045\pi\) | |||||||
\(194\) | −7.86687 | + | 9.07721i | −0.564808 | + | 0.651706i | ||||
\(195\) | −0.0829528 | + | 0.0146268i | −0.00594037 | + | 0.00104745i | ||||
\(196\) | 7.52477 | + | 6.73464i | 0.537483 | + | 0.481046i | ||||
\(197\) | 5.83464 | − | 10.1059i | 0.415701 | − | 0.720015i | −0.579801 | − | 0.814758i | \(-0.696870\pi\) |
0.995502 | + | 0.0947432i | \(0.0302030\pi\) | |||||||
\(198\) | 0.0641894 | − | 4.02250i | 0.00456174 | − | 0.285867i | ||||
\(199\) | 13.9328 | − | 16.6044i | 0.987668 | − | 1.17706i | 0.00346853 | − | 0.999994i | \(-0.498896\pi\) |
0.984200 | − | 0.177063i | \(-0.0566596\pi\) | |||||||
\(200\) | −10.3816 | − | 9.59423i | −0.734093 | − | 0.678415i | ||||
\(201\) | 4.99757 | + | 8.65605i | 0.352502 | + | 0.610551i | ||||
\(202\) | 7.24662 | + | 13.0272i | 0.509870 | + | 0.916592i | ||||
\(203\) | −7.05354 | + | 2.56728i | −0.495062 | + | 0.180188i | ||||
\(204\) | 1.70131 | − | 1.33743i | 0.119116 | − | 0.0936392i | ||||
\(205\) | 0.320602 | + | 0.0565308i | 0.0223918 | + | 0.00394828i | ||||
\(206\) | 0.636406 | − | 0.516931i | 0.0443405 | − | 0.0360163i | ||||
\(207\) | 11.9425 | + | 14.2326i | 0.830064 | + | 0.989232i | ||||
\(208\) | −6.63789 | − | 4.41971i | −0.460255 | − | 0.306452i | ||||
\(209\) | 5.06633 | − | 2.63784i | 0.350445 | − | 0.182463i | ||||
\(210\) | 0.0715985 | + | 0.0428750i | 0.00494077 | + | 0.00295865i | ||||
\(211\) | −8.82488 | + | 7.40495i | −0.607530 | + | 0.509778i | −0.893856 | − | 0.448354i | \(-0.852010\pi\) |
0.286326 | + | 0.958132i | \(0.407566\pi\) | |||||||
\(212\) | −10.4111 | + | 1.49499i | −0.715040 | + | 0.102676i | ||||
\(213\) | 0.966590 | − | 5.48181i | 0.0662297 | − | 0.375607i | ||||
\(214\) | −1.11615 | − | 0.426534i | −0.0762985 | − | 0.0291573i | ||||
\(215\) | −0.00654518 | − | 0.0179827i | −0.000446377 | − | 0.00122641i | ||||
\(216\) | −7.20297 | + | 11.2014i | −0.490100 | + | 0.762160i | ||||
\(217\) | −7.42159 | + | 4.28485i | −0.503810 | + | 0.290875i | ||||
\(218\) | 3.75511 | + | 10.8528i | 0.254328 | + | 0.735047i | ||||
\(219\) | −4.52418 | − | 3.79624i | −0.305716 | − | 0.256526i | ||||
\(220\) | 0.103318 | + | 0.0641312i | 0.00696573 | + | 0.00432373i | ||||
\(221\) | 2.05169 | + | 1.18454i | 0.138011 | + | 0.0796810i | ||||
\(222\) | −5.58083 | − | 1.07613i | −0.374561 | − | 0.0722254i | ||||
\(223\) | 0.353870 | + | 2.00689i | 0.0236969 | + | 0.134392i | 0.994361 | − | 0.106048i | \(-0.0338196\pi\) |
−0.970664 | + | 0.240439i | \(0.922709\pi\) | |||||||
\(224\) | 2.10200 | + | 7.61625i | 0.140446 | + | 0.508882i | ||||
\(225\) | −10.1953 | − | 3.71079i | −0.679688 | − | 0.247386i | ||||
\(226\) | −19.8584 | + | 3.17574i | −1.32096 | + | 0.211247i | ||||
\(227\) | 12.3915 | 0.822456 | 0.411228 | − | 0.911533i | \(-0.365100\pi\) | ||||
0.411228 | + | 0.911533i | \(0.365100\pi\) | |||||||
\(228\) | −7.91557 | − | 0.598539i | −0.524221 | − | 0.0396392i | ||||
\(229\) | 9.29197 | 0.614031 | 0.307015 | − | 0.951705i | \(-0.400670\pi\) | ||||
0.307015 | + | 0.951705i | \(0.400670\pi\) | |||||||
\(230\) | −0.554551 | + | 0.0886835i | −0.0365660 | + | 0.00584762i | ||||
\(231\) | 1.56607 | + | 0.570002i | 0.103040 | + | 0.0375034i | ||||
\(232\) | 14.8262 | + | 3.35283i | 0.973387 | + | 0.220124i | ||||
\(233\) | 1.38093 | + | 7.83166i | 0.0904679 | + | 0.513069i | 0.996042 | + | 0.0888814i | \(0.0283292\pi\) |
−0.905574 | + | 0.424188i | \(0.860560\pi\) | |||||||
\(234\) | −6.00997 | − | 1.15889i | −0.392884 | − | 0.0757587i | ||||
\(235\) | 0.335243 | + | 0.193553i | 0.0218689 | + | 0.0126260i | ||||
\(236\) | −12.3652 | + | 19.9209i | −0.804905 | + | 1.29674i | ||||
\(237\) | 7.67356 | + | 6.43888i | 0.498451 | + | 0.418250i | ||||
\(238\) | −0.767494 | − | 2.21817i | −0.0497493 | − | 0.143783i | ||||
\(239\) | 18.1412 | − | 10.4738i | 1.17346 | − | 0.677496i | 0.218966 | − | 0.975732i | \(-0.429732\pi\) |
0.954492 | + | 0.298236i | \(0.0963983\pi\) | |||||||
\(240\) | −0.0749930 | − | 0.151450i | −0.00484078 | − | 0.00977604i | ||||
\(241\) | −3.23683 | − | 8.89311i | −0.208502 | − | 0.572856i | 0.790724 | − | 0.612172i | \(-0.209704\pi\) |
−0.999227 | + | 0.0393166i | \(0.987482\pi\) | |||||||
\(242\) | −12.2630 | − | 4.68628i | −0.788296 | − | 0.301245i | ||||
\(243\) | −2.80468 | + | 15.9061i | −0.179920 | + | 1.02038i | ||||
\(244\) | 3.48558 | + | 24.2736i | 0.223142 | + | 1.55396i | ||||
\(245\) | −0.179469 | + | 0.150592i | −0.0114659 | + | 0.00962099i | ||||
\(246\) | −7.75150 | − | 4.64179i | −0.494218 | − | 0.295950i | ||||
\(247\) | −2.61380 | − | 8.28779i | −0.166312 | − | 0.527340i | ||||
\(248\) | 17.3343 | + | 0.830404i | 1.10073 | + | 0.0527307i | ||||
\(249\) | 0.429815 | + | 0.512234i | 0.0272384 | + | 0.0324615i | ||||
\(250\) | 0.509225 | − | 0.413626i | 0.0322062 | − | 0.0261600i | ||||
\(251\) | −5.25705 | − | 0.926959i | −0.331822 | − | 0.0585091i | 0.00525525 | − | 0.999986i | \(-0.498327\pi\) |
−0.337077 | + | 0.941477i | \(0.609438\pi\) | |||||||
\(252\) | 3.74775 | + | 4.76740i | 0.236086 | + | 0.300318i | ||||
\(253\) | −10.5387 | + | 3.83578i | −0.662563 | + | 0.241153i | ||||
\(254\) | −9.00737 | − | 16.1925i | −0.565173 | − | 1.01601i | ||||
\(255\) | 0.0251029 | + | 0.0434796i | 0.00157201 | + | 0.00272280i | ||||
\(256\) | 4.76167 | − | 15.2750i | 0.297605 | − | 0.954689i | ||||
\(257\) | 8.86041 | − | 10.5594i | 0.552697 | − | 0.658679i | −0.415287 | − | 0.909691i | \(-0.636319\pi\) |
0.967984 | + | 0.251011i | \(0.0807632\pi\) | |||||||
\(258\) | −0.00847416 | + | 0.531043i | −0.000527578 | + | 0.0330613i | ||||
\(259\) | −3.08230 | + | 5.33869i | −0.191525 | + | 0.331730i | ||||
\(260\) | 0.123384 | − | 0.137860i | 0.00765194 | − | 0.00854968i | ||||
\(261\) | 11.4894 | − | 2.02590i | 0.711178 | − | 0.125400i | ||||
\(262\) | −1.25731 | + | 1.45075i | −0.0776771 | + | 0.0896279i | ||||
\(263\) | −4.72312 | + | 12.9767i | −0.291240 | + | 0.800175i | 0.704646 | + | 0.709559i | \(0.251106\pi\) |
−0.995886 | + | 0.0906161i | \(0.971116\pi\) | |||||||
\(264\) | −2.04316 | − | 2.68618i | −0.125748 | − | 0.165323i | ||||
\(265\) | − | 0.244013i | − | 0.0149896i | ||||||
\(266\) | −3.42079 | + | 7.90119i | −0.209742 | + | 0.484453i | ||||
\(267\) | − | 12.5960i | − | 0.770862i | ||||||
\(268\) | −20.3796 | − | 8.16298i | −1.24488 | − | 0.498633i | ||||
\(269\) | 0.0765103 | − | 0.210210i | 0.00466491 | − | 0.0128167i | −0.937338 | − | 0.348421i | \(-0.886718\pi\) |
0.942003 | + | 0.335604i | \(0.108940\pi\) | |||||||
\(270\) | −0.233480 | − | 0.202348i | −0.0142091 | − | 0.0123145i | ||||
\(271\) | 14.0034 | − | 2.46917i | 0.850644 | − | 0.149992i | 0.268704 | − | 0.963223i | \(-0.413405\pi\) |
0.581941 | + | 0.813231i | \(0.302294\pi\) | |||||||
\(272\) | −1.12227 | + | 4.61883i | −0.0680476 | + | 0.280058i | ||||
\(273\) | 1.26778 | − | 2.19585i | 0.0767294 | − | 0.132899i | ||||
\(274\) | 10.9067 | + | 0.174044i | 0.658897 | + | 0.0105144i | ||||
\(275\) | 4.20974 | − | 5.01697i | 0.253857 | − | 0.302535i | ||||
\(276\) | 15.2552 | + | 3.19489i | 0.918258 | + | 0.192310i | ||||
\(277\) | −10.5953 | − | 18.3516i | −0.636609 | − | 1.10264i | −0.986172 | − | 0.165726i | \(-0.947003\pi\) |
0.349563 | − | 0.936913i | \(-0.386330\pi\) | |||||||
\(278\) | 21.1044 | − | 11.7397i | 1.26576 | − | 0.704099i | ||||
\(279\) | 12.5163 | − | 4.55558i | 0.749334 | − | 0.272735i | ||||
\(280\) | −0.181833 | + | 0.0231557i | −0.0108666 | + | 0.00138382i | ||||
\(281\) | 7.25757 | + | 1.27971i | 0.432950 | + | 0.0763408i | 0.385876 | − | 0.922551i | \(-0.373899\pi\) |
0.0470741 | + | 0.998891i | \(0.485010\pi\) | |||||||
\(282\) | −6.77358 | − | 8.33912i | −0.403361 | − | 0.496587i | ||||
\(283\) | −15.7071 | − | 18.7190i | −0.933691 | − | 1.11273i | −0.993422 | − | 0.114515i | \(-0.963469\pi\) |
0.0597309 | − | 0.998215i | \(-0.480976\pi\) | |||||||
\(284\) | 5.77211 | + | 10.7778i | 0.342512 | + | 0.639544i | ||||
\(285\) | 0.0398470 | − | 0.179801i | 0.00236033 | − | 0.0106505i | ||||
\(286\) | 1.89814 | − | 3.16977i | 0.112239 | − | 0.187432i | ||||
\(287\) | −7.50694 | + | 6.29907i | −0.443120 | + | 0.371822i | ||||
\(288\) | −1.16184 | − | 12.2252i | −0.0684619 | − | 0.720375i | ||||
\(289\) | −2.70682 | + | 15.3511i | −0.159224 | + | 0.903007i | ||||
\(290\) | −0.125885 | + | 0.329415i | −0.00739223 | + | 0.0193439i | ||||
\(291\) | 2.64520 | + | 7.26762i | 0.155064 | + | 0.426036i | ||||
\(292\) | 12.9653 | + | 0.413894i | 0.758735 | + | 0.0242213i | ||||
\(293\) | −11.5307 | + | 6.65724i | −0.673630 | + | 0.388920i | −0.797451 | − | 0.603384i | \(-0.793819\pi\) |
0.123821 | + | 0.992305i | \(0.460485\pi\) | |||||||
\(294\) | 6.14464 | − | 2.12606i | 0.358363 | − | 0.123995i | ||||
\(295\) | −0.416693 | − | 0.349647i | −0.0242608 | − | 0.0203572i | ||||
\(296\) | 11.0975 | − | 5.71737i | 0.645028 | − | 0.332315i | ||||
\(297\) | −5.34332 | − | 3.08497i | −0.310051 | − | 0.179008i | ||||
\(298\) | 3.58234 | − | 18.5780i | 0.207519 | − | 1.07619i | ||||
\(299\) | 2.96292 | + | 16.8036i | 0.171350 | + | 0.971775i | ||||
\(300\) | −8.64785 | + | 2.83851i | −0.499284 | + | 0.163881i | ||||
\(301\) | 0.541314 | + | 0.197022i | 0.0312008 | + | 0.0113562i | ||||
\(302\) | −0.123376 | − | 0.771490i | −0.00709950 | − | 0.0443943i | ||||
\(303\) | 9.59824 | 0.551405 | ||||||||
\(304\) | 14.4807 | − | 9.71131i | 0.830525 | − | 0.556982i | ||||
\(305\) | −0.568919 | −0.0325762 | ||||||||
\(306\) | 0.576093 | + | 3.60240i | 0.0329331 | + | 0.205935i | ||||
\(307\) | −26.7916 | − | 9.75134i | −1.52908 | − | 0.556538i | −0.565681 | − | 0.824624i | \(-0.691387\pi\) |
−0.963395 | + | 0.268086i | \(0.913609\pi\) | |||||||
\(308\) | −3.47795 | + | 1.14158i | −0.198174 | + | 0.0650474i | ||||
\(309\) | −0.0916701 | − | 0.519887i | −0.00521493 | − | 0.0295753i | ||||
\(310\) | −0.0762304 | + | 0.395330i | −0.00432959 | + | 0.0224532i | ||||
\(311\) | −22.6396 | − | 13.0710i | −1.28377 | − | 0.741188i | −0.306239 | − | 0.951955i | \(-0.599071\pi\) |
−0.977536 | + | 0.210767i | \(0.932404\pi\) | |||||||
\(312\) | −4.56449 | + | 2.35161i | −0.258414 | + | 0.133134i | ||||
\(313\) | −2.72269 | − | 2.28461i | −0.153895 | − | 0.129134i | 0.562589 | − | 0.826737i | \(-0.309805\pi\) |
−0.716484 | + | 0.697603i | \(0.754250\pi\) | |||||||
\(314\) | −9.28890 | + | 3.21399i | −0.524203 | + | 0.181376i | ||||
\(315\) | −0.121838 | + | 0.0703432i | −0.00686479 | + | 0.00396339i | ||||
\(316\) | −21.9907 | − | 0.702014i | −1.23707 | − | 0.0394913i | ||||
\(317\) | 4.75523 | + | 13.0649i | 0.267080 | + | 0.733798i | 0.998646 | + | 0.0520261i | \(0.0165679\pi\) |
−0.731565 | + | 0.681771i | \(0.761210\pi\) | |||||||
\(318\) | −2.41747 | + | 6.32600i | −0.135565 | + | 0.354745i | ||||
\(319\) | −1.22290 | + | 6.93539i | −0.0684690 | + | 0.388307i | ||||
\(320\) | 0.335077 | + | 0.159718i | 0.0187314 | + | 0.00892852i | ||||
\(321\) | −0.589352 | + | 0.494525i | −0.0328944 | + | 0.0276017i | ||||
\(322\) | 8.68509 | − | 14.5036i | 0.484001 | − | 0.808251i | ||||
\(323\) | −4.10910 | + | 3.15351i | −0.228636 | + | 0.175466i | ||||
\(324\) | −2.10112 | − | 3.92325i | −0.116729 | − | 0.217958i | ||||
\(325\) | −6.40477 | − | 7.63290i | −0.355272 | − | 0.423397i | ||||
\(326\) | −14.5356 | − | 17.8952i | −0.805055 | − | 0.991123i | ||||
\(327\) | 7.28194 | + | 1.28400i | 0.402692 | + | 0.0710055i | ||||
\(328\) | 19.6858 | − | 2.50691i | 1.08697 | − | 0.138421i | ||||
\(329\) | −10.9499 | + | 3.98543i | −0.603686 | + | 0.219724i | ||||
\(330\) | 0.0684233 | − | 0.0380617i | 0.00376658 | − | 0.00209523i | ||||
\(331\) | −3.55440 | − | 6.15641i | −0.195368 | − | 0.338387i | 0.751653 | − | 0.659558i | \(-0.229257\pi\) |
−0.947021 | + | 0.321172i | \(0.895923\pi\) | |||||||
\(332\) | −1.43751 | − | 0.301056i | −0.0788934 | − | 0.0165226i | ||||
\(333\) | 6.15882 | − | 7.33979i | 0.337501 | − | 0.402218i | ||||
\(334\) | 20.9102 | + | 0.333677i | 1.14416 | + | 0.0182580i | ||||
\(335\) | 0.254659 | − | 0.441082i | 0.0139135 | − | 0.0240989i | ||||
\(336\) | 4.94338 | + | 1.20113i | 0.269684 | + | 0.0655269i | ||||
\(337\) | −29.9028 | + | 5.27267i | −1.62891 | + | 0.287220i | −0.912075 | − | 0.410024i | \(-0.865520\pi\) |
−0.716833 | + | 0.697245i | \(0.754409\pi\) | |||||||
\(338\) | 9.64540 | + | 8.35930i | 0.524641 | + | 0.454686i | ||||
\(339\) | −4.42871 | + | 12.1678i | −0.240535 | + | 0.660863i | ||||
\(340\) | −0.102367 | − | 0.0410029i | −0.00555163 | − | 0.00222369i | ||||
\(341\) | 8.04014i | 0.435398i | ||||||||
\(342\) | 7.36853 | − | 11.1707i | 0.398445 | − | 0.604044i | ||||
\(343\) | − | 16.8293i | − | 0.908694i | ||||||
\(344\) | −0.706222 | − | 0.928482i | −0.0380769 | − | 0.0500604i | ||||
\(345\) | −0.123673 | + | 0.339789i | −0.00665834 | + | 0.0182936i | ||||
\(346\) | 1.82054 | − | 2.10064i | 0.0978729 | − | 0.112931i | ||||
\(347\) | 0.491581 | − | 0.0866790i | 0.0263895 | − | 0.00465317i | −0.160438 | − | 0.987046i | \(-0.551291\pi\) |
0.186827 | + | 0.982393i | \(0.440180\pi\) | |||||||
\(348\) | 6.52711 | − | 7.29288i | 0.349890 | − | 0.390939i | ||||
\(349\) | −1.36569 | + | 2.36545i | −0.0731040 | + | 0.126620i | −0.900260 | − | 0.435352i | \(-0.856624\pi\) |
0.827156 | + | 0.561972i | \(0.189957\pi\) | |||||||
\(350\) | −0.157513 | + | 9.87073i | −0.00841942 | + | 0.527613i | ||||
\(351\) | −6.03388 | + | 7.19090i | −0.322065 | + | 0.383822i | ||||
\(352\) | 7.17433 | + | 1.86491i | 0.382393 | + | 0.0994001i | ||||
\(353\) | 12.5409 | + | 21.7215i | 0.667484 | + | 1.15612i | 0.978605 | + | 0.205747i | \(0.0659623\pi\) |
−0.311121 | + | 0.950370i | \(0.600704\pi\) | |||||||
\(354\) | 7.33870 | + | 13.1927i | 0.390048 | + | 0.701187i | ||||
\(355\) | −0.266537 | + | 0.0970116i | −0.0141463 | + | 0.00514884i | ||||
\(356\) | 17.0982 | + | 21.7501i | 0.906202 | + | 1.15276i | ||||
\(357\) | −1.48833 | − | 0.262433i | −0.0787708 | − | 0.0138894i | ||||
\(358\) | −25.1876 | + | 20.4590i | −1.33121 | + | 1.08129i | ||||
\(359\) | −5.00752 | − | 5.96773i | −0.264287 | − | 0.314965i | 0.617539 | − | 0.786540i | \(-0.288130\pi\) |
−0.881826 | + | 0.471576i | \(0.843685\pi\) | |||||||
\(360\) | 0.284572 | + | 0.0136325i | 0.0149983 | + | 0.000718496i | ||||
\(361\) | 18.9279 | + | 1.65316i | 0.996208 | + | 0.0870087i | ||||
\(362\) | −26.0681 | − | 15.6102i | −1.37011 | − | 0.820455i | ||||
\(363\) | −6.47513 | + | 5.43328i | −0.339856 | + | 0.285173i | ||||
\(364\) | 0.791586 | + | 5.51261i | 0.0414904 | + | 0.288939i | ||||
\(365\) | −0.0522584 | + | 0.296372i | −0.00273533 | + | 0.0155128i | ||||
\(366\) | 14.7491 | + | 5.63634i | 0.770949 | + | 0.294616i | ||||
\(367\) | 2.87685 | + | 7.90408i | 0.150170 | + | 0.412590i | 0.991854 | − | 0.127382i | \(-0.0406573\pi\) |
−0.841683 | + | 0.539971i | \(0.818435\pi\) | |||||||
\(368\) | −30.6789 | + | 15.1912i | −1.59925 | + | 0.791894i | ||||
\(369\) | 13.1906 | − | 7.61560i | 0.686676 | − | 0.396452i | ||||
\(370\) | 0.0947003 | + | 0.273698i | 0.00492324 | + | 0.0142289i | ||||
\(371\) | 5.62679 | + | 4.72144i | 0.292129 | + | 0.245125i | ||||
\(372\) | 5.89284 | − | 9.49365i | 0.305529 | − | 0.492223i | ||||
\(373\) | 17.6598 | + | 10.1959i | 0.914391 | + | 0.527924i | 0.881841 | − | 0.471546i | \(-0.156304\pi\) |
0.0325499 | + | 0.999470i | \(0.489637\pi\) | |||||||
\(374\) | −2.16232 | − | 0.416954i | −0.111811 | − | 0.0215602i | ||||
\(375\) | −0.0733505 | − | 0.415992i | −0.00378781 | − | 0.0214817i | ||||
\(376\) | 23.0161 | + | 5.20491i | 1.18696 | + | 0.268423i | ||||
\(377\) | 10.0682 | + | 3.66454i | 0.518541 | + | 0.188733i | ||||
\(378\) | 9.18363 | − | 1.46864i | 0.472355 | − | 0.0755388i | ||||
\(379\) | −17.8645 | −0.917638 | −0.458819 | − | 0.888530i | \(-0.651727\pi\) | ||||
−0.458819 | + | 0.888530i | \(0.651727\pi\) | |||||||
\(380\) | 0.175262 | + | 0.364561i | 0.00899073 | + | 0.0187016i | ||||
\(381\) | −11.9304 | −0.611212 | ||||||||
\(382\) | −10.7260 | + | 1.71529i | −0.548789 | + | 0.0877620i | ||||
\(383\) | −11.4496 | − | 4.16732i | −0.585047 | − | 0.212940i | 0.0325023 | − | 0.999472i | \(-0.489652\pi\) |
−0.617550 | + | 0.786532i | \(0.711875\pi\) | |||||||
\(384\) | −7.10447 | − | 7.46031i | −0.362548 | − | 0.380707i | ||||
\(385\) | −0.0147467 | − | 0.0836327i | −0.000751561 | − | 0.00426231i | ||||
\(386\) | 5.40118 | + | 1.04149i | 0.274913 | + | 0.0530107i | ||||
\(387\) | −0.775389 | − | 0.447671i | −0.0394152 | − | 0.0227564i | ||||
\(388\) | −14.4329 | − | 8.95870i | −0.732719 | − | 0.454809i | ||||
\(389\) | 15.3327 | + | 12.8656i | 0.777398 | + | 0.652314i | 0.942592 | − | 0.333947i | \(-0.108381\pi\) |
−0.165194 | + | 0.986261i | \(0.552825\pi\) | |||||||
\(390\) | −0.0389511 | − | 0.112575i | −0.00197237 | − | 0.00570043i | ||||
\(391\) | 8.80756 | − | 5.08505i | 0.445418 | − | 0.257162i | ||||
\(392\) | −7.72427 | + | 12.0121i | −0.390135 | + | 0.606703i | ||||
\(393\) | 0.422766 | + | 1.16154i | 0.0213257 | + | 0.0585919i | ||||
\(394\) | 15.4156 | + | 5.89102i | 0.776626 | + | 0.296785i | ||||
\(395\) | 0.0886365 | − | 0.502683i | 0.00445979 | − | 0.0252927i | ||||
\(396\) | 5.63164 | − | 0.808677i | 0.283000 | − | 0.0406376i | ||||
\(397\) | 3.50279 | − | 2.93919i | 0.175800 | − | 0.147514i | −0.550642 | − | 0.834742i | \(-0.685617\pi\) |
0.726442 | + | 0.687228i | \(0.241173\pi\) | |||||||
\(398\) | 26.2991 | + | 15.7485i | 1.31825 | + | 0.789403i | ||||
\(399\) | 3.37509 | + | 4.39784i | 0.168966 | + | 0.220167i | ||||
\(400\) | 11.0796 | − | 16.6403i | 0.553980 | − | 0.832013i | ||||
\(401\) | −5.17049 | − | 6.16195i | −0.258202 | − | 0.307713i | 0.621334 | − | 0.783546i | \(-0.286591\pi\) |
−0.879536 | + | 0.475833i | \(0.842147\pi\) | |||||||
\(402\) | −10.9718 | + | 8.91205i | −0.547225 | + | 0.444493i | ||||
\(403\) | 12.0466 | + | 2.12414i | 0.600083 | + | 0.105811i | ||||
\(404\) | −16.5738 | + | 13.0290i | −0.824576 | + | 0.648215i | ||||
\(405\) | 0.0970227 | − | 0.0353134i | 0.00482110 | − | 0.00175474i | ||||
\(406\) | −5.16034 | − | 9.27673i | −0.256104 | − | 0.460396i | ||||
\(407\) | 2.89183 | + | 5.00879i | 0.143342 | + | 0.248276i | ||||
\(408\) | 2.24763 | + | 2.07715i | 0.111274 | + | 0.102834i | ||||
\(409\) | 8.35432 | − | 9.95629i | 0.413094 | − | 0.492307i | −0.518872 | − | 0.854852i | \(-0.673648\pi\) |
0.931966 | + | 0.362545i | \(0.118092\pi\) | |||||||
\(410\) | −0.00734584 | + | 0.460336i | −0.000362785 | + | 0.0227344i | ||||
\(411\) | 3.51169 | − | 6.08243i | 0.173219 | − | 0.300024i | ||||
\(412\) | 0.864002 | + | 0.773279i | 0.0425663 | + | 0.0380967i | ||||
\(413\) | 16.1253 | − | 2.84332i | 0.793472 | − | 0.139911i | ||||
\(414\) | −17.2083 | + | 19.8559i | −0.845742 | + | 0.975862i | ||||
\(415\) | 0.0116538 | − | 0.0320184i | 0.000572060 | − | 0.00157172i | ||||
\(416\) | 4.68960 | − | 10.2566i | 0.229926 | − | 0.502873i | ||||
\(417\) | − | 15.5494i | − | 0.761456i | ||||||
\(418\) | 4.81509 | + | 6.48589i | 0.235514 | + | 0.317235i | ||||
\(419\) | 1.47508i | 0.0720624i | 0.999351 | + | 0.0360312i | \(0.0114716\pi\) | ||||
−0.999351 | + | 0.0360312i | \(0.988528\pi\) | |||||||
\(420\) | −0.0438840 | + | 0.109560i | −0.00214132 | + | 0.00534598i | ||||
\(421\) | 7.00572 | − | 19.2481i | 0.341438 | − | 0.938093i | −0.643540 | − | 0.765412i | \(-0.722535\pi\) |
0.984978 | − | 0.172680i | \(-0.0552428\pi\) | |||||||
\(422\) | −12.3116 | − | 10.6700i | −0.599319 | − | 0.519406i | ||||
\(423\) | 17.8361 | − | 3.14499i | 0.867221 | − | 0.152915i | ||||
\(424\) | −4.41275 | − | 14.2050i | −0.214302 | − | 0.689855i | ||||
\(425\) | −2.96948 | + | 5.14330i | −0.144041 | + | 0.249487i | ||||
\(426\) | 7.87104 | + | 0.125603i | 0.381353 | + | 0.00608547i | ||||
\(427\) | 11.0081 | − | 13.1189i | 0.532718 | − | 0.634868i | ||||
\(428\) | 0.346380 | − | 1.65393i | 0.0167429 | − | 0.0799455i | ||||
\(429\) | −1.18943 | − | 2.06016i | −0.0574265 | − | 0.0994655i | ||||
\(430\) | 0.0236506 | − | 0.0131561i | 0.00114054 | − | 0.000634443i | ||||
\(431\) | 15.5185 | − | 5.64828i | 0.747501 | − | 0.272068i | 0.0599469 | − | 0.998202i | \(-0.480907\pi\) |
0.687554 | + | 0.726134i | \(0.258685\pi\) | |||||||
\(432\) | −17.2510 | − | 7.55720i | −0.829991 | − | 0.363596i | ||||
\(433\) | −29.9167 | − | 5.27512i | −1.43770 | − | 0.253506i | −0.600161 | − | 0.799879i | \(-0.704897\pi\) |
−0.837542 | + | 0.546373i | \(0.816008\pi\) | |||||||
\(434\) | −7.64108 | − | 9.40711i | −0.366783 | − | 0.451556i | ||||
\(435\) | 0.145952 | + | 0.173938i | 0.00699785 | + | 0.00833971i | ||||
\(436\) | −14.3170 | + | 7.66758i | −0.685662 | + | 0.367211i | ||||
\(437\) | −36.4219 | − | 8.07172i | −1.74230 | − | 0.386123i | ||||
\(438\) | 4.29098 | − | 7.16567i | 0.205031 | − | 0.342389i | ||||
\(439\) | −5.71692 | + | 4.79706i | −0.272854 | + | 0.228951i | −0.768939 | − | 0.639323i | \(-0.779215\pi\) |
0.496085 | + | 0.868274i | \(0.334770\pi\) | |||||||
\(440\) | −0.0664839 | + | 0.158603i | −0.00316950 | + | 0.00756110i | ||||
\(441\) | −1.90338 | + | 10.7946i | −0.0906370 | + | 0.514028i | ||||
\(442\) | −1.19599 | + | 3.12965i | −0.0568874 | + | 0.148863i | ||||
\(443\) | 11.1704 | + | 30.6904i | 0.530721 | + | 1.45814i | 0.858215 | + | 0.513290i | \(0.171574\pi\) |
−0.327494 | + | 0.944853i | \(0.606204\pi\) | |||||||
\(444\) | 0.256464 | − | 8.03378i | 0.0121713 | − | 0.381266i | ||||
\(445\) | −0.555857 | + | 0.320924i | −0.0263501 | + | 0.0152133i | ||||
\(446\) | −2.72354 | + | 0.942353i | −0.128963 | + | 0.0446217i | ||||
\(447\) | −9.33208 | − | 7.83054i | −0.441392 | − | 0.370372i | ||||
\(448\) | −10.1664 | + | 4.63626i | −0.480319 | + | 0.219043i | ||||
\(449\) | −4.49778 | − | 2.59680i | −0.212264 | − | 0.122550i | 0.390099 | − | 0.920773i | \(-0.372441\pi\) |
−0.602363 | + | 0.798222i | \(0.705774\pi\) | |||||||
\(450\) | 2.90516 | − | 15.0662i | 0.136951 | − | 0.710226i | ||||
\(451\) | 1.59653 | + | 9.05436i | 0.0751776 | + | 0.426353i | ||||
\(452\) | −8.86965 | − | 27.0224i | −0.417193 | − | 1.27103i | ||||
\(453\) | −0.472714 | − | 0.172054i | −0.0222100 | − | 0.00808379i | ||||
\(454\) | 2.76731 | + | 17.3044i | 0.129876 | + | 0.812137i | ||||
\(455\) | −0.129203 | −0.00605713 | ||||||||
\(456\) | −0.931884 | − | 11.1875i | −0.0436394 | − | 0.523904i | ||||
\(457\) | −13.2130 | −0.618078 | −0.309039 | − | 0.951049i | \(-0.600007\pi\) | ||||
−0.309039 | + | 0.951049i | \(0.600007\pi\) | |||||||
\(458\) | 2.07511 | + | 12.9760i | 0.0969634 | + | 0.606327i | ||||
\(459\) | 5.25763 | + | 1.91362i | 0.245405 | + | 0.0893202i | ||||
\(460\) | −0.247688 | − | 0.754609i | −0.0115485 | − | 0.0351838i | ||||
\(461\) | −4.56893 | − | 25.9117i | −0.212796 | − | 1.20683i | −0.884690 | − | 0.466180i | \(-0.845630\pi\) |
0.671894 | − | 0.740648i | \(-0.265481\pi\) | |||||||
\(462\) | −0.446252 | + | 2.31426i | −0.0207615 | + | 0.107669i | ||||
\(463\) | 18.3103 | + | 10.5715i | 0.850954 | + | 0.491298i | 0.860972 | − | 0.508652i | \(-0.169856\pi\) |
−0.0100189 | + | 0.999950i | \(0.503189\pi\) | |||||||
\(464\) | −1.37110 | + | 21.4531i | −0.0636518 | + | 0.995934i | ||||
\(465\) | 0.198582 | + | 0.166630i | 0.00920902 | + | 0.00772729i | ||||
\(466\) | −10.6283 | + | 3.67742i | −0.492346 | + | 0.170353i | ||||
\(467\) | 27.4162 | − | 15.8287i | 1.26867 | − | 0.732467i | 0.293934 | − | 0.955826i | \(-0.405036\pi\) |
0.974736 | + | 0.223359i | \(0.0717022\pi\) | |||||||
\(468\) | 0.276186 | − | 8.65155i | 0.0127667 | − | 0.399918i | ||||
\(469\) | 5.24365 | + | 14.4068i | 0.242129 | + | 0.665245i | ||||
\(470\) | −0.195423 | + | 0.511382i | −0.00901420 | + | 0.0235883i | ||||
\(471\) | −1.09897 | + | 6.23259i | −0.0506380 | + | 0.287182i | ||||
\(472\) | −30.5804 | − | 12.8188i | −1.40757 | − | 0.590033i | ||||
\(473\) | 0.414014 | − | 0.347399i | 0.0190364 | − | 0.0159734i | ||||
\(474\) | −7.27802 | + | 12.1538i | −0.334290 | + | 0.558244i | ||||
\(475\) | 20.7763 | − | 6.55244i | 0.953284 | − | 0.300647i | ||||
\(476\) | 2.92621 | − | 1.56715i | 0.134123 | − | 0.0718302i | ||||
\(477\) | −7.33838 | − | 8.74554i | −0.336001 | − | 0.400431i | ||||
\(478\) | 18.6777 | + | 22.9946i | 0.854300 | + | 1.05175i | ||||
\(479\) | −13.3251 | − | 2.34958i | −0.608840 | − | 0.107355i | −0.139276 | − | 0.990254i | \(-0.544478\pi\) |
−0.469563 | + | 0.882899i | \(0.655589\pi\) | |||||||
\(480\) | 0.194747 | − | 0.138548i | 0.00888896 | − | 0.00632380i | ||||
\(481\) | 8.26868 | − | 3.00955i | 0.377019 | − | 0.137224i | ||||
\(482\) | 11.6961 | − | 6.50616i | 0.532743 | − | 0.296348i | ||||
\(483\) | −5.44236 | − | 9.42644i | −0.247636 | − | 0.428918i | ||||
\(484\) | 3.80563 | − | 18.1715i | 0.172983 | − | 0.825976i | ||||
\(485\) | 0.253323 | − | 0.301898i | 0.0115028 | − | 0.0137085i | ||||
\(486\) | −22.8388 | − | 0.364452i | −1.03599 | − | 0.0165319i | ||||
\(487\) | −6.49642 | + | 11.2521i | −0.294381 | + | 0.509883i | −0.974841 | − | 0.222903i | \(-0.928447\pi\) |
0.680460 | + | 0.732786i | \(0.261780\pi\) | |||||||
\(488\) | −33.1190 | + | 10.2884i | −1.49923 | + | 0.465732i | ||||
\(489\) | −14.6188 | + | 2.57768i | −0.661084 | + | 0.116567i | ||||
\(490\) | −0.250377 | − | 0.216992i | −0.0113109 | − | 0.00980271i | ||||
\(491\) | 11.1325 | − | 30.5862i | 0.502401 | − | 1.38033i | −0.386523 | − | 0.922280i | \(-0.626324\pi\) |
0.888924 | − | 0.458055i | \(-0.151454\pi\) | |||||||
\(492\) | 4.75104 | − | 11.8614i | 0.214193 | − | 0.534751i | ||||
\(493\) | − | 6.38620i | − | 0.287620i | ||||||
\(494\) | 10.9899 | − | 5.50095i | 0.494460 | − | 0.247499i | ||||
\(495\) | 0.131993i | 0.00593263i | ||||||||
\(496\) | 2.71151 | + | 24.3923i | 0.121750 | + | 1.09525i | ||||
\(497\) | 2.92023 | − | 8.02327i | 0.130990 | − | 0.359893i | ||||
\(498\) | −0.619331 | + | 0.714617i | −0.0277529 | + | 0.0320228i | ||||
\(499\) | −4.07989 | + | 0.719394i | −0.182641 | + | 0.0322045i | −0.264220 | − | 0.964462i | \(-0.585115\pi\) |
0.0815796 | + | 0.996667i | \(0.474004\pi\) | |||||||
\(500\) | 0.691338 | + | 0.618746i | 0.0309176 | + | 0.0276711i | ||||
\(501\) | 6.73260 | − | 11.6612i | 0.300790 | − | 0.520984i | ||||
\(502\) | 0.120453 | − | 7.54832i | 0.00537607 | − | 0.336898i | ||||
\(503\) | −14.9435 | + | 17.8090i | −0.666298 | + | 0.794063i | −0.988275 | − | 0.152685i | \(-0.951208\pi\) |
0.321977 | + | 0.946747i | \(0.395653\pi\) | |||||||
\(504\) | −5.82058 | + | 6.29828i | −0.259269 | + | 0.280548i | ||||
\(505\) | −0.244547 | − | 0.423567i | −0.0108822 | − | 0.0188485i | ||||
\(506\) | −7.71008 | − | 13.8604i | −0.342755 | − | 0.616169i | ||||
\(507\) | 7.72254 | − | 2.81078i | 0.342970 | − | 0.124831i | ||||
\(508\) | 20.6008 | − | 16.1947i | 0.914012 | − | 0.718522i | ||||
\(509\) | 13.7146 | + | 2.41826i | 0.607891 | + | 0.107188i | 0.469116 | − | 0.883136i | \(-0.344573\pi\) |
0.138775 | + | 0.990324i | \(0.455684\pi\) | |||||||
\(510\) | −0.0551118 | + | 0.0447655i | −0.00244039 | + | 0.00198225i | ||||
\(511\) | −5.82300 | − | 6.93958i | −0.257594 | − | 0.306989i | ||||
\(512\) | 22.3945 | + | 3.23827i | 0.989706 | + | 0.143113i | ||||
\(513\) | −9.47808 | − | 18.2039i | −0.418467 | − | 0.803724i | ||||
\(514\) | 16.7247 | + | 10.0151i | 0.737693 | + | 0.441749i | ||||
\(515\) | −0.0206068 | + | 0.0172912i | −0.000908045 | + | 0.000761940i | ||||
\(516\) | −0.743478 | + | 0.106760i | −0.0327298 | + | 0.00469985i | ||||
\(517\) | −1.89841 | + | 10.7664i | −0.0834922 | + | 0.473508i | ||||
\(518\) | −8.14367 | − | 3.11208i | −0.357812 | − | 0.136737i | ||||
\(519\) | −0.612148 | − | 1.68186i | −0.0268703 | − | 0.0738256i | ||||
\(520\) | 0.220071 | + | 0.141515i | 0.00965075 | + | 0.00620583i | ||||
\(521\) | 14.7143 | − | 8.49530i | 0.644645 | − | 0.372186i | −0.141757 | − | 0.989902i | \(-0.545275\pi\) |
0.786402 | + | 0.617716i | \(0.211942\pi\) | |||||||
\(522\) | 5.39495 | + | 15.5922i | 0.236131 | + | 0.682453i | ||||
\(523\) | 2.73927 | + | 2.29852i | 0.119780 | + | 0.100507i | 0.700710 | − | 0.713446i | \(-0.252867\pi\) |
−0.580930 | + | 0.813953i | \(0.697311\pi\) | |||||||
\(524\) | −2.30672 | − | 1.43181i | −0.100770 | − | 0.0625491i | ||||
\(525\) | 5.50470 | + | 3.17814i | 0.240245 | + | 0.138705i | ||||
\(526\) | −19.1763 | − | 3.69771i | −0.836126 | − | 0.161228i | ||||
\(527\) | −1.26607 | − | 7.18024i | −0.0551508 | − | 0.312776i | ||||
\(528\) | 3.29488 | − | 3.45309i | 0.143391 | − | 0.150277i | ||||
\(529\) | 47.2174 | + | 17.1857i | 2.05293 | + | 0.747206i | ||||
\(530\) | 0.340757 | − | 0.0544937i | 0.0148015 | − | 0.00236705i | ||||
\(531\) | −25.4496 | −1.10442 | ||||||||
\(532\) | −11.7977 | − | 3.01251i | −0.511495 | − | 0.130609i | ||||
\(533\) | 13.9880 | 0.605886 | ||||||||
\(534\) | 17.5899 | − | 2.81297i | 0.761190 | − | 0.121729i | ||||
\(535\) | 0.0368389 | + | 0.0134083i | 0.00159268 | + | 0.000579689i | ||||
\(536\) | 6.84814 | − | 30.2824i | 0.295794 | − | 1.30800i | ||||
\(537\) | 3.62811 | + | 20.5760i | 0.156565 | + | 0.887922i | ||||
\(538\) | 0.310639 | + | 0.0598996i | 0.0133926 | + | 0.00258245i | ||||
\(539\) | −5.73004 | − | 3.30824i | −0.246810 | − | 0.142496i | ||||
\(540\) | 0.230431 | − | 0.371236i | 0.00991618 | − | 0.0159754i | ||||
\(541\) | 15.2062 | + | 12.7595i | 0.653766 | + | 0.548575i | 0.908211 | − | 0.418513i | \(-0.137448\pi\) |
−0.254445 | + | 0.967087i | \(0.581893\pi\) | |||||||
\(542\) | 6.57539 | + | 19.0039i | 0.282437 | + | 0.816286i | ||||
\(543\) | −16.9427 | + | 9.78187i | −0.727081 | + | 0.419780i | ||||
\(544\) | −6.70069 | − | 0.535725i | −0.287290 | − | 0.0229690i | ||||
\(545\) | −0.128869 | − | 0.354064i | −0.00552013 | − | 0.0151664i | ||||
\(546\) | 3.34957 | + | 1.28003i | 0.143348 | + | 0.0547802i | ||||
\(547\) | 0.130482 | − | 0.740000i | 0.00557901 | − | 0.0316401i | −0.981891 | − | 0.189446i | \(-0.939331\pi\) |
0.987470 | + | 0.157806i | \(0.0504420\pi\) | |||||||
\(548\) | 2.19266 | + | 15.2697i | 0.0936658 | + | 0.652290i | ||||
\(549\) | −20.3903 | + | 17.1095i | −0.870236 | + | 0.730215i | ||||
\(550\) | 7.94617 | + | 4.75837i | 0.338826 | + | 0.202897i | ||||
\(551\) | −15.8249 | + | 17.2724i | −0.674162 | + | 0.735828i | ||||
\(552\) | −1.05473 | + | 22.0170i | −0.0448922 | + | 0.937105i | ||||
\(553\) | 9.87651 | + | 11.7704i | 0.419992 | + | 0.500527i | ||||
\(554\) | 23.2612 | − | 18.8943i | 0.988275 | − | 0.802742i | ||||
\(555\) | 0.183644 | + | 0.0323813i | 0.00779524 | + | 0.00137451i | ||||
\(556\) | 21.1072 | + | 26.8499i | 0.895144 | + | 1.13869i | ||||
\(557\) | −31.8977 | + | 11.6098i | −1.35155 | + | 0.491923i | −0.913430 | − | 0.406995i | \(-0.866577\pi\) |
−0.438117 | + | 0.898918i | \(0.644354\pi\) | |||||||
\(558\) | 9.15690 | + | 16.4613i | 0.387643 | + | 0.696863i | ||||
\(559\) | −0.411130 | − | 0.712098i | −0.0173890 | − | 0.0301186i | ||||
\(560\) | −0.0729435 | − | 0.248752i | −0.00308243 | − | 0.0105117i | ||||
\(561\) | −0.911409 | + | 1.08617i | −0.0384797 | + | 0.0458583i | ||||
\(562\) | −0.166290 | + | 10.4208i | −0.00701452 | + | 0.439573i | ||||
\(563\) | 16.1201 | − | 27.9209i | 0.679383 | − | 1.17673i | −0.295784 | − | 0.955255i | \(-0.595581\pi\) |
0.975167 | − | 0.221471i | \(-0.0710859\pi\) | |||||||
\(564\) | 10.1326 | − | 11.3214i | 0.426661 | − | 0.476718i | ||||
\(565\) | 0.649796 | − | 0.114577i | 0.0273371 | − | 0.00482027i | ||||
\(566\) | 22.6328 | − | 26.1149i | 0.951326 | − | 1.09769i | ||||
\(567\) | −1.06300 | + | 2.92057i | −0.0446418 | + | 0.122652i | ||||
\(568\) | −13.7618 | + | 10.4675i | −0.577433 | + | 0.439207i | ||||
\(569\) | − | 17.8706i | − | 0.749175i | −0.927192 | − | 0.374587i | \(-0.877784\pi\) | ||
0.927192 | − | 0.374587i | \(-0.122216\pi\) | |||||||
\(570\) | 0.259985 | + | 0.0154915i | 0.0108896 | + | 0.000648867i | ||||
\(571\) | 35.9863i | 1.50598i | 0.658032 | + | 0.752990i | \(0.271389\pi\) | ||||
−0.658032 | + | 0.752990i | \(0.728611\pi\) | |||||||
\(572\) | 4.85038 | + | 1.94281i | 0.202805 | + | 0.0812330i | ||||
\(573\) | −2.39205 | + | 6.57211i | −0.0999295 | + | 0.274554i | ||||
\(574\) | −10.4729 | − | 9.07648i | −0.437131 | − | 0.378845i | ||||
\(575\) | −42.1242 | + | 7.42763i | −1.75670 | + | 0.309754i | ||||
\(576\) | 16.8126 | − | 4.35262i | 0.700525 | − | 0.181359i | ||||
\(577\) | −7.40172 | + | 12.8202i | −0.308138 | + | 0.533710i | −0.977955 | − | 0.208816i | \(-0.933039\pi\) |
0.669817 | + | 0.742526i | \(0.266372\pi\) | |||||||
\(578\) | −22.0419 | − | 0.351734i | −0.916820 | − | 0.0146302i | ||||
\(579\) | 2.27658 | − | 2.71312i | 0.0946113 | − | 0.112753i | ||||
\(580\) | −0.488132 | − | 0.102229i | −0.0202686 | − | 0.00424483i | ||||
\(581\) | 0.512835 | + | 0.888256i | 0.0212760 | + | 0.0368511i | ||||
\(582\) | −9.55828 | + | 5.31696i | −0.396203 | + | 0.220395i | ||||
\(583\) | 6.47576 | − | 2.35698i | 0.268198 | − | 0.0976162i | ||||
\(584\) | 2.31745 | + | 18.1980i | 0.0958966 | + | 0.753040i | ||||
\(585\) | 0.197765 | + | 0.0348713i | 0.00817658 | + | 0.00144175i | ||||
\(586\) | −11.8717 | − | 14.6155i | −0.490415 | − | 0.603762i | ||||
\(587\) | 12.8463 | + | 15.3096i | 0.530222 | + | 0.631894i | 0.962966 | − | 0.269623i | \(-0.0868991\pi\) |
−0.432744 | + | 0.901517i | \(0.642455\pi\) | |||||||
\(588\) | 4.34122 | + | 8.10600i | 0.179029 | + | 0.334286i | ||||
\(589\) | −14.3682 | + | 22.5572i | −0.592031 | + | 0.929454i | ||||
\(590\) | 0.395214 | − | 0.659983i | 0.0162707 | − | 0.0271711i | ||||
\(591\) | 8.13976 | − | 6.83007i | 0.334825 | − | 0.280951i | ||||
\(592\) | 10.4625 | + | 14.2205i | 0.430004 | + | 0.584458i | ||||
\(593\) | −5.76362 | + | 32.6871i | −0.236683 | + | 1.34230i | 0.602356 | + | 0.798228i | \(0.294229\pi\) |
−0.839039 | + | 0.544071i | \(0.816882\pi\) | |||||||
\(594\) | 3.11478 | − | 8.15073i | 0.127801 | − | 0.334429i | ||||
\(595\) | 0.0263390 | + | 0.0723659i | 0.00107979 | + | 0.00296671i | ||||
\(596\) | 26.7436 | + | 0.853743i | 1.09546 | + | 0.0349707i | ||||
\(597\) | 17.0928 | − | 9.86855i | 0.699563 | − | 0.403893i | ||||
\(598\) | −22.8040 | + | 7.89024i | −0.932524 | + | 0.322656i | ||||
\(599\) | −24.4486 | − | 20.5148i | −0.998941 | − | 0.838211i | −0.0121038 | − | 0.999927i | \(-0.503853\pi\) |
−0.986837 | + | 0.161716i | \(0.948297\pi\) | |||||||
\(600\) | −5.89515 | − | 11.4426i | −0.240669 | − | 0.467140i | ||||
\(601\) | −0.700958 | − | 0.404698i | −0.0285927 | − | 0.0165080i | 0.485636 | − | 0.874161i | \(-0.338588\pi\) |
−0.514228 | + | 0.857653i | \(0.671922\pi\) | |||||||
\(602\) | −0.154248 | + | 0.799928i | −0.00628667 | + | 0.0326026i | ||||
\(603\) | −4.13788 | − | 23.4671i | −0.168508 | − | 0.955654i | ||||
\(604\) | 1.04981 | − | 0.344582i | 0.0427161 | − | 0.0140209i | ||||
\(605\) | 0.404744 | + | 0.147315i | 0.0164552 | + | 0.00598919i | ||||
\(606\) | 2.14350 | + | 13.4037i | 0.0870739 | + | 0.544486i | ||||
\(607\) | −37.1238 | −1.50681 | −0.753404 | − | 0.657558i | \(-0.771590\pi\) | ||||
−0.753404 | + | 0.657558i | \(0.771590\pi\) | |||||||
\(608\) | 16.7954 | + | 18.0531i | 0.681144 | + | 0.732149i | ||||
\(609\) | −6.83495 | −0.276966 | ||||||||
\(610\) | −0.127052 | − | 0.794477i | −0.00514420 | − | 0.0321675i | ||||
\(611\) | 15.6299 | + | 5.68880i | 0.632316 | + | 0.230144i | ||||
\(612\) | −4.90198 | + | 1.60899i | −0.198151 | + | 0.0650397i | ||||
\(613\) | −6.54618 | − | 37.1252i | −0.264398 | − | 1.49947i | −0.770745 | − | 0.637144i | \(-0.780116\pi\) |
0.506347 | − | 0.862330i | \(-0.330996\pi\) | |||||||
\(614\) | 7.63428 | − | 39.5913i | 0.308094 | − | 1.59778i | ||||
\(615\) | 0.256720 | + | 0.148217i | 0.0103519 | + | 0.00597669i | ||||
\(616\) | −2.37088 | − | 4.60191i | −0.0955256 | − | 0.185416i | ||||
\(617\) | −24.7371 | − | 20.7569i | −0.995877 | − | 0.835640i | −0.00946884 | − | 0.999955i | \(-0.503014\pi\) |
−0.986408 | + | 0.164315i | \(0.947459\pi\) | |||||||
\(618\) | 0.705534 | − | 0.244117i | 0.0283807 | − | 0.00981982i | ||||
\(619\) | −36.7309 | + | 21.2066i | −1.47634 | + | 0.852365i | −0.999643 | − | 0.0267023i | \(-0.991499\pi\) |
−0.476697 | + | 0.879068i | \(0.658166\pi\) | |||||||
\(620\) | −0.569091 | − | 0.0181672i | −0.0228552 | − | 0.000729613i | ||||
\(621\) | 13.7824 | + | 37.8669i | 0.553069 | + | 1.51954i | ||||
\(622\) | 13.1973 | − | 34.5346i | 0.529163 | − | 1.38471i | ||||
\(623\) | 3.35503 | − | 19.0273i | 0.134416 | − | 0.762313i | ||||
\(624\) | −4.30330 | − | 5.84901i | −0.172270 | − | 0.234148i | ||||
\(625\) | 19.1264 | − | 16.0489i | 0.765055 | − | 0.641957i | ||||
\(626\) | 2.58234 | − | 4.31235i | 0.103211 | − | 0.172356i | ||||
\(627\) | 5.15655 | − | 0.679260i | 0.205933 | − | 0.0271270i | ||||
\(628\) | −6.56265 | − | 12.2539i | −0.261878 | − | 0.488984i | ||||
\(629\) | −3.37127 | − | 4.01772i | −0.134421 | − | 0.160197i | ||||
\(630\) | −0.125441 | − | 0.154434i | −0.00499770 | − | 0.00615279i | ||||
\(631\) | 20.4902 | + | 3.61298i | 0.815704 | + | 0.143831i | 0.565908 | − | 0.824468i | \(-0.308526\pi\) |
0.249795 | + | 0.968299i | \(0.419637\pi\) | |||||||
\(632\) | −3.93067 | − | 30.8661i | −0.156354 | − | 1.22779i | ||||
\(633\) | −9.85721 | + | 3.58773i | −0.391789 | + | 0.142599i | ||||
\(634\) | −17.1828 | + | 9.55822i | −0.682415 | + | 0.379606i | ||||
\(635\) | 0.303965 | + | 0.526483i | 0.0120625 | + | 0.0208929i | ||||
\(636\) | −9.37395 | − | 1.96318i | −0.371701 | − | 0.0778450i | ||||
\(637\) | −6.47057 | + | 7.71133i | −0.256373 | + | 0.305534i | ||||
\(638\) | −9.95816 | − | 0.158908i | −0.394247 | − | 0.00629123i | ||||
\(639\) | −6.63531 | + | 11.4927i | −0.262489 | + | 0.454644i | ||||
\(640\) | −0.148211 | + | 0.503593i | −0.00585857 | + | 0.0199063i | ||||
\(641\) | −25.6534 | + | 4.52338i | −1.01325 | + | 0.178663i | −0.655531 | − | 0.755168i | \(-0.727555\pi\) |
−0.357715 | + | 0.933831i | \(0.616444\pi\) | |||||||
\(642\) | −0.822205 | − | 0.712573i | −0.0324498 | − | 0.0281230i | ||||
\(643\) | 9.65370 | − | 26.5233i | 0.380705 | − | 1.04598i | −0.590355 | − | 0.807144i | \(-0.701012\pi\) |
0.971060 | − | 0.238835i | \(-0.0767654\pi\) | |||||||
\(644\) | 22.1933 | + | 8.88949i | 0.874540 | + | 0.350295i | ||||
\(645\) | − | 0.0174254i | − | 0.000686125i | ||||||
\(646\) | −5.32143 | − | 5.03398i | −0.209369 | − | 0.198059i | ||||
\(647\) | 31.9737i | 1.25702i | 0.777803 | + | 0.628508i | \(0.216334\pi\) | ||||
−0.777803 | + | 0.628508i | \(0.783666\pi\) | |||||||
\(648\) | 5.00947 | − | 3.81030i | 0.196790 | − | 0.149683i | ||||
\(649\) | 5.25418 | − | 14.4357i | 0.206245 | − | 0.566652i | ||||
\(650\) | 9.22879 | − | 10.6487i | 0.361983 | − | 0.417675i | ||||
\(651\) | −7.68477 | + | 1.35503i | −0.301190 | + | 0.0531079i | ||||
\(652\) | 21.7439 | − | 24.2950i | 0.851558 | − | 0.951465i | ||||
\(653\) | 8.32093 | − | 14.4123i | 0.325623 | − | 0.563996i | −0.656015 | − | 0.754748i | \(-0.727759\pi\) |
0.981638 | + | 0.190752i | \(0.0610926\pi\) | |||||||
\(654\) | −0.166848 | + | 10.4558i | −0.00652429 | + | 0.408853i | ||||
\(655\) | 0.0404870 | − | 0.0482505i | 0.00158196 | − | 0.00188530i | ||||
\(656\) | 7.89712 | + | 26.9308i | 0.308331 | + | 1.05147i | ||||
\(657\) | 7.04003 | + | 12.1937i | 0.274658 | + | 0.475721i | ||||
\(658\) | −8.01088 | − | 14.4011i | −0.312297 | − | 0.561414i | ||||
\(659\) | −4.28405 | + | 1.55927i | −0.166883 | + | 0.0607404i | −0.424111 | − | 0.905610i | \(-0.639413\pi\) |
0.257228 | + | 0.966351i | \(0.417191\pi\) | |||||||
\(660\) | 0.0684325 | + | 0.0870511i | 0.00266373 | + | 0.00338846i | ||||
\(661\) | −22.6492 | − | 3.99366i | −0.880951 | − | 0.155335i | −0.285165 | − | 0.958479i | \(-0.592048\pi\) |
−0.595786 | + | 0.803143i | \(0.703159\pi\) | |||||||
\(662\) | 7.80346 | − | 6.33848i | 0.303290 | − | 0.246352i | ||||
\(663\) | 1.38663 | + | 1.65253i | 0.0538524 | + | 0.0641788i | ||||
\(664\) | 0.0993873 | − | 2.07467i | 0.00385698 | − | 0.0805126i | ||||
\(665\) | 0.108083 | − | 0.260991i | 0.00419129 | − | 0.0101208i | ||||
\(666\) | 11.6252 | + | 6.96146i | 0.450467 | + | 0.269751i | ||||
\(667\) | 35.2343 | − | 29.5651i | 1.36428 | − | 1.14477i | ||||
\(668\) | 4.20376 | + | 29.2750i | 0.162648 | + | 1.13268i | ||||
\(669\) | −0.322223 | + | 1.82742i | −0.0124579 | + | 0.0706521i | ||||
\(670\) | 0.672829 | + | 0.257120i | 0.0259936 | + | 0.00993340i | ||||
\(671\) | −5.49532 | − | 15.0983i | −0.212145 | − | 0.582862i | ||||
\(672\) | −0.573369 | + | 7.17153i | −0.0221182 | + | 0.276648i | ||||
\(673\) | 23.9900 | − | 13.8506i | 0.924745 | − | 0.533902i | 0.0395995 | − | 0.999216i | \(-0.487392\pi\) |
0.885146 | + | 0.465314i | \(0.154058\pi\) | |||||||
\(674\) | −14.0411 | − | 40.5808i | −0.540842 | − | 1.56311i | ||||
\(675\) | −18.0266 | − | 15.1261i | −0.693843 | − | 0.582204i | ||||
\(676\) | −9.51947 | + | 15.3363i | −0.366134 | + | 0.589859i | ||||
\(677\) | 3.28430 | + | 1.89619i | 0.126226 | + | 0.0728765i | 0.561783 | − | 0.827284i | \(-0.310115\pi\) |
−0.435558 | + | 0.900161i | \(0.643449\pi\) | |||||||
\(678\) | −17.9810 | − | 3.46722i | −0.690555 | − | 0.133158i | ||||
\(679\) | 2.06001 | + | 11.6829i | 0.0790561 | + | 0.448349i | ||||
\(680\) | 0.0343984 | − | 0.152109i | 0.00131912 | − | 0.00583313i | ||||
\(681\) | 10.6029 | + | 3.85914i | 0.406304 | + | 0.147883i | ||||
\(682\) | −11.2278 | + | 1.79555i | −0.429935 | + | 0.0687550i | ||||
\(683\) | 34.1213 | 1.30561 | 0.652807 | − | 0.757524i | \(-0.273591\pi\) | ||||
0.652807 | + | 0.757524i | \(0.273591\pi\) | |||||||
\(684\) | 17.2451 | + | 7.79526i | 0.659384 | + | 0.298059i | ||||
\(685\) | −0.357887 | −0.0136742 | ||||||||
\(686\) | 23.5015 | − | 3.75835i | 0.897293 | − | 0.143495i | ||||
\(687\) | 7.95073 | + | 2.89383i | 0.303339 | + | 0.110406i | ||||
\(688\) | 1.13888 | − | 1.19357i | 0.0434195 | − | 0.0455043i | ||||
\(689\) | −1.82064 | − | 10.3253i | −0.0693607 | − | 0.393364i | ||||
\(690\) | −0.502124 | − | 0.0968232i | −0.0191155 | − | 0.00368600i | ||||
\(691\) | 28.6806 | + | 16.5587i | 1.09106 | + | 0.629924i | 0.933859 | − | 0.357642i | \(-0.116419\pi\) |
0.157202 | + | 0.987566i | \(0.449753\pi\) | |||||||
\(692\) | 3.34004 | + | 2.07321i | 0.126969 | + | 0.0788116i | ||||
\(693\) | −3.04367 | − | 2.55394i | −0.115619 | − | 0.0970162i | ||||
\(694\) | 0.230826 | + | 0.667121i | 0.00876203 | + | 0.0253236i | ||||
\(695\) | −0.686188 | + | 0.396171i | −0.0260286 | + | 0.0150276i | ||||
\(696\) | 11.6419 | + | 7.48624i | 0.441286 | + | 0.283765i | ||||
\(697\) | −2.85155 | − | 7.83458i | −0.108010 | − | 0.296756i | ||||
\(698\) | −3.60827 | − | 1.37889i | −0.136575 | − | 0.0521918i | ||||
\(699\) | −1.25744 | + | 7.13128i | −0.0475606 | + | 0.269730i | ||||
\(700\) | −13.8194 | + | 1.98440i | −0.522322 | + | 0.0750031i | ||||
\(701\) | 5.75372 | − | 4.82795i | 0.217315 | − | 0.182349i | −0.527631 | − | 0.849474i | \(-0.676920\pi\) |
0.744946 | + | 0.667125i | \(0.232475\pi\) | |||||||
\(702\) | −11.3894 | − | 6.82024i | −0.429864 | − | 0.257413i | ||||
\(703\) | −0.837759 | + | 19.2204i | −0.0315967 | + | 0.724911i | ||||
\(704\) | −1.00210 | + | 10.4352i | −0.0377681 | + | 0.393292i | ||||
\(705\) | 0.226574 | + | 0.270021i | 0.00853328 | + | 0.0101696i | ||||
\(706\) | −27.5327 | + | 22.3639i | −1.03621 | + | 0.841675i | ||||
\(707\) | 14.4990 | + | 2.55656i | 0.545289 | + | 0.0961492i | ||||
\(708\) | −16.7844 | + | 13.1945i | −0.630795 | + | 0.495880i | ||||
\(709\) | −19.0347 | + | 6.92805i | −0.714862 | + | 0.260188i | −0.673743 | − | 0.738966i | \(-0.735314\pi\) |
−0.0411190 | + | 0.999154i | \(0.513092\pi\) | |||||||
\(710\) | −0.194998 | − | 0.350546i | −0.00731813 | − | 0.0131558i | ||||
\(711\) | −11.9407 | − | 20.6820i | −0.447813 | − | 0.775635i | ||||
\(712\) | −26.5550 | + | 28.7344i | −0.995191 | + | 1.07687i | ||||
\(713\) | 33.7539 | − | 40.2263i | 1.26409 | − | 1.50649i | ||||
\(714\) | 0.0341016 | − | 2.13702i | 0.00127622 | − | 0.0799758i | ||||
\(715\) | −0.0606095 | + | 0.104979i | −0.00226667 | + | 0.00392598i | ||||
\(716\) | −34.1954 | − | 30.6048i | −1.27794 | − | 1.14375i | ||||
\(717\) | 18.7846 | − | 3.31222i | 0.701522 | − | 0.123697i | ||||
\(718\) | 7.21546 | − | 8.32558i | 0.269279 | − | 0.310708i | ||||
\(719\) | 9.88743 | − | 27.1655i | 0.368739 | − | 1.01310i | −0.607103 | − | 0.794623i | \(-0.707668\pi\) |
0.975842 | − | 0.218479i | \(-0.0701094\pi\) | |||||||
\(720\) | 0.0445141 | + | 0.400441i | 0.00165894 | + | 0.0149236i | ||||
\(721\) | − | 0.809749i | − | 0.0301566i | ||||||
\(722\) | 1.91844 | + | 26.8015i | 0.0713971 | + | 0.997448i | ||||
\(723\) | − | 8.61750i | − | 0.320488i | ||||||
\(724\) | 15.9776 | − | 39.8894i | 0.593803 | − | 1.48248i | ||||
\(725\) | −9.18649 | + | 25.2397i | −0.341178 | + | 0.937378i | ||||
\(726\) | −9.03345 | − | 7.82895i | −0.335263 | − | 0.290560i | ||||
\(727\) | −12.6244 | + | 2.22602i | −0.468212 | + | 0.0825584i | −0.402776 | − | 0.915298i | \(-0.631955\pi\) |
−0.0654356 | + | 0.997857i | \(0.520844\pi\) | |||||||
\(728\) | −7.52142 | + | 2.33652i | −0.278762 | + | 0.0865971i | ||||
\(729\) | −4.01571 | + | 6.95541i | −0.148730 | + | 0.257608i | ||||
\(730\) | −0.425545 | − | 0.00679066i | −0.0157501 | − | 0.000251334i | ||||
\(731\) | −0.315030 | + | 0.375438i | −0.0116518 | + | 0.0138861i | ||||
\(732\) | −4.57716 | + | 21.8554i | −0.169177 | + | 0.807799i | ||||
\(733\) | −25.7324 | − | 44.5699i | −0.950450 | − | 1.64623i | −0.744453 | − | 0.667674i | \(-0.767290\pi\) |
−0.205996 | − | 0.978553i | \(-0.566044\pi\) | |||||||
\(734\) | −10.3953 | + | 5.78260i | −0.383699 | + | 0.213440i | ||||
\(735\) | −0.200463 | + | 0.0729627i | −0.00739420 | + | 0.00269127i | ||||
\(736\) | −28.0653 | − | 39.4496i | −1.03450 | − | 1.45413i | ||||
\(737\) | 14.1655 | + | 2.49776i | 0.521792 | + | 0.0920061i | ||||
\(738\) | 13.5807 | + | 16.7195i | 0.499913 | + | 0.615455i | ||||
\(739\) | 3.33185 | + | 3.97074i | 0.122564 | + | 0.146066i | 0.823837 | − | 0.566827i | \(-0.191829\pi\) |
−0.701273 | + | 0.712893i | \(0.747385\pi\) | |||||||
\(740\) | −0.361062 | + | 0.193369i | −0.0132729 | + | 0.00710839i | ||||
\(741\) | 0.344578 | − | 7.90553i | 0.0126584 | − | 0.290417i | ||||
\(742\) | −5.33676 | + | 8.91205i | −0.195919 | + | 0.327172i | ||||
\(743\) | 12.0551 | − | 10.1154i | 0.442259 | − | 0.371099i | −0.394295 | − | 0.918984i | \(-0.629011\pi\) |
0.836554 | + | 0.547885i | \(0.184567\pi\) | |||||||
\(744\) | 14.5736 | + | 6.10902i | 0.534294 | + | 0.223968i | ||||
\(745\) | −0.107794 | + | 0.611330i | −0.00394927 | + | 0.0223974i | ||||
\(746\) | −10.2944 | + | 26.9384i | −0.376906 | + | 0.986285i | ||||
\(747\) | −0.545236 | − | 1.49802i | −0.0199492 | − | 0.0548098i | ||||
\(748\) | 0.0993684 | − | 3.11273i | 0.00363327 | − | 0.113813i | ||||
\(749\) | −1.02199 | + | 0.590044i | −0.0373425 | + | 0.0215597i | ||||
\(750\) | 0.564539 | − | 0.195332i | 0.0206140 | − | 0.00713252i | ||||
\(751\) | 37.8228 | + | 31.7371i | 1.38017 | + | 1.15810i | 0.969148 | + | 0.246479i | \(0.0792737\pi\) |
0.411026 | + | 0.911624i | \(0.365171\pi\) | |||||||
\(752\) | −2.12849 | + | 33.3036i | −0.0776180 | + | 1.21446i | ||||
\(753\) | −4.20954 | − | 2.43038i | −0.153404 | − | 0.0885679i | ||||
\(754\) | −2.86895 | + | 14.8784i | −0.104481 | + | 0.541838i | ||||
\(755\) | 0.00445125 | + | 0.0252443i | 0.000161998 | + | 0.000918734i | ||||
\(756\) | 4.10183 | + | 12.4967i | 0.149182 | + | 0.454500i | ||||
\(757\) | 45.1863 | + | 16.4465i | 1.64232 | + | 0.597757i | 0.987443 | − | 0.157975i | \(-0.0504965\pi\) |
0.654881 | + | 0.755732i | \(0.272719\pi\) | |||||||
\(758\) | −3.98955 | − | 24.9472i | −0.144907 | − | 0.906124i | ||||
\(759\) | −10.2121 | −0.370676 | ||||||||
\(760\) | −0.469958 | + | 0.326162i | −0.0170472 | + | 0.0118311i | ||||
\(761\) | −48.4854 | −1.75759 | −0.878797 | − | 0.477196i | \(-0.841653\pi\) | ||||
−0.878797 | + | 0.477196i | \(0.841653\pi\) | |||||||
\(762\) | −2.66432 | − | 16.6604i | −0.0965183 | − | 0.603543i | ||||
\(763\) | 10.6580 | + | 3.87919i | 0.385845 | + | 0.140436i | ||||
\(764\) | −4.79071 | − | 14.5954i | −0.173322 | − | 0.528045i | ||||
\(765\) | −0.0207847 | − | 0.117876i | −0.000751472 | − | 0.00426181i | ||||
\(766\) | 3.26257 | − | 16.9197i | 0.117882 | − | 0.611333i | ||||
\(767\) | −20.2410 | − | 11.6862i | −0.730860 | − | 0.421962i | ||||
\(768\) | 8.83151 | − | 11.5872i | 0.318680 | − | 0.418118i | ||||
\(769\) | 3.06662 | + | 2.57320i | 0.110585 | + | 0.0927919i | 0.696404 | − | 0.717650i | \(-0.254782\pi\) |
−0.585818 | + | 0.810442i | \(0.699227\pi\) | |||||||
\(770\) | 0.113497 | − | 0.0392704i | 0.00409015 | − | 0.00141521i | ||||
\(771\) | 10.8700 | − | 6.27581i | 0.391474 | − | 0.226018i | ||||
\(772\) | −0.248209 | + | 7.77517i | −0.00893324 | + | 0.279835i | ||||
\(773\) | 8.87283 | + | 24.3779i | 0.319133 | + | 0.876812i | 0.990724 | + | 0.135889i | \(0.0433892\pi\) |
−0.671591 | + | 0.740922i | \(0.734389\pi\) | |||||||
\(774\) | 0.451997 | − | 1.18278i | 0.0162467 | − | 0.0425142i | ||||
\(775\) | −5.32491 | + | 30.1991i | −0.191277 | + | 1.08478i | ||||
\(776\) | 9.28736 | − | 22.1558i | 0.333397 | − | 0.795346i | ||||
\(777\) | −4.30003 | + | 3.60816i | −0.154263 | + | 0.129442i | ||||
\(778\) | −14.5423 | + | 24.2848i | −0.521368 | + | 0.870653i | ||||
\(779\) | −11.7015 | + | 28.2558i | −0.419249 | + | 1.01237i | ||||
\(780\) | 0.148508 | − | 0.0795345i | 0.00531745 | − | 0.00284779i | ||||
\(781\) | −5.14909 | − | 6.13645i | −0.184249 | − | 0.219579i | ||||
\(782\) | 9.06804 | + | 11.1639i | 0.324273 | + | 0.399220i | ||||
\(783\) | 24.9197 | + | 4.39401i | 0.890557 | + | 0.157029i | ||||
\(784\) | −18.4995 | − | 8.10414i | −0.660698 | − | 0.289434i | ||||
\(785\) | 0.303042 | − | 0.110298i | 0.0108160 | − | 0.00393671i | ||||
\(786\) | −1.52764 | + | 0.849778i | −0.0544892 | + | 0.0303106i | ||||
\(787\) | −7.04209 | − | 12.1973i | −0.251023 | − | 0.434785i | 0.712785 | − | 0.701383i | \(-0.247434\pi\) |
−0.963808 | + | 0.266598i | \(0.914100\pi\) | |||||||
\(788\) | −4.78399 | + | 22.8430i | −0.170422 | + | 0.813748i | ||||
\(789\) | −8.08273 | + | 9.63262i | −0.287753 | + | 0.342930i | ||||
\(790\) | 0.721776 | + | 0.0115178i | 0.0256796 | + | 0.000409784i | ||||
\(791\) | −9.93091 | + | 17.2008i | −0.353102 | + | 0.611591i | ||||
\(792\) | 2.38697 | + | 7.68381i | 0.0848171 | + | 0.273032i | ||||
\(793\) | −24.0736 | + | 4.24483i | −0.854879 | + | 0.150738i | ||||
\(794\) | 4.88675 | + | 4.23516i | 0.173424 | + | 0.150300i | ||||
\(795\) | 0.0759939 | − | 0.208791i | 0.00269522 | − | 0.00740507i | ||||
\(796\) | −16.1192 | + | 40.2429i | −0.571329 | + | 1.42637i | ||||
\(797\) | − | 42.2792i | − | 1.49761i | −0.662792 | − | 0.748804i | \(-0.730629\pi\) | ||
0.662792 | − | 0.748804i | \(-0.269371\pi\) | |||||||
\(798\) | −5.38771 | + | 5.69535i | −0.190723 | + | 0.201613i | ||||
\(799\) | − | 9.91390i | − | 0.350728i | ||||||
\(800\) | 25.7119 | + | 11.7562i | 0.909054 | + | 0.415643i | ||||
\(801\) | −10.2708 | + | 28.2187i | −0.362900 | + | 0.997059i | ||||
\(802\) | 7.45029 | − | 8.59653i | 0.263079 | − | 0.303554i | ||||
\(803\) | −8.37006 | + | 1.47587i | −0.295373 | + | 0.0520822i | ||||
\(804\) | −14.8957 | − | 13.3316i | −0.525330 | − | 0.470168i | ||||
\(805\) | −0.277324 | + | 0.480339i | −0.00977438 | + | 0.0169297i | ||||
\(806\) | −0.276019 | + | 17.2970i | −0.00972235 | + | 0.609262i | ||||
\(807\) | 0.130933 | − | 0.156040i | 0.00460906 | − | 0.00549286i | ||||
\(808\) | −21.8958 | − | 20.2351i | −0.770293 | − | 0.711869i | ||||
\(809\) | 21.3717 | + | 37.0168i | 0.751388 | + | 1.30144i | 0.947150 | + | 0.320791i | \(0.103949\pi\) |
−0.195762 | + | 0.980651i | \(0.562718\pi\) | |||||||
\(810\) | 0.0709814 | + | 0.127603i | 0.00249403 | + | 0.00448351i | ||||
\(811\) | 19.8838 | − | 7.23710i | 0.698213 | − | 0.254129i | 0.0315655 | − | 0.999502i | \(-0.489951\pi\) |
0.666648 | + | 0.745373i | \(0.267728\pi\) | |||||||
\(812\) | 11.8022 | − | 9.27797i | 0.414178 | − | 0.325593i | ||||
\(813\) | 12.7511 | + | 2.24836i | 0.447199 | + | 0.0788533i | ||||
\(814\) | −6.34881 | + | 5.15692i | −0.222526 | + | 0.180750i | ||||
\(815\) | 0.486213 | + | 0.579446i | 0.0170313 | + | 0.0202971i | ||||
\(816\) | −2.39873 | + | 3.60262i | −0.0839725 | + | 0.126117i | ||||
\(817\) | 1.78237 | − | 0.234787i | 0.0623572 | − | 0.00821417i | ||||
\(818\) | 15.7694 | + | 9.44308i | 0.551363 | + | 0.330170i | ||||
\(819\) | −4.63069 | + | 3.88561i | −0.161809 | + | 0.135774i | ||||
\(820\) | −0.644486 | + | 0.0925452i | −0.0225064 | + | 0.00323182i | ||||
\(821\) | 3.63805 | − | 20.6324i | 0.126969 | − | 0.720076i | −0.853150 | − | 0.521666i | \(-0.825311\pi\) |
0.980119 | − | 0.198411i | \(-0.0635780\pi\) | |||||||
\(822\) | 9.27816 | + | 3.54563i | 0.323613 | + | 0.123668i | ||||
\(823\) | 6.64061 | + | 18.2449i | 0.231477 | + | 0.635978i | 0.999993 | − | 0.00385332i | \(-0.00122655\pi\) |
−0.768516 | + | 0.639831i | \(0.779004\pi\) | |||||||
\(824\) | −0.886909 | + | 1.37924i | −0.0308970 | + | 0.0480482i | ||||
\(825\) | 5.16454 | − | 2.98175i | 0.179806 | − | 0.103811i | ||||
\(826\) | 7.57175 | + | 21.8835i | 0.263455 | + | 0.761423i | ||||
\(827\) | 11.1754 | + | 9.37729i | 0.388608 | + | 0.326080i | 0.816070 | − | 0.577952i | \(-0.196148\pi\) |
−0.427463 | + | 0.904033i | \(0.640593\pi\) | |||||||
\(828\) | −31.5711 | − | 19.5966i | −1.09717 | − | 0.681029i | ||||
\(829\) | 8.11069 | + | 4.68271i | 0.281696 | + | 0.162637i | 0.634191 | − | 0.773177i | \(-0.281333\pi\) |
−0.352495 | + | 0.935814i | \(0.614667\pi\) | |||||||
\(830\) | 0.0473153 | + | 0.00912367i | 0.00164234 | + | 0.000316687i | ||||
\(831\) | −3.35063 | − | 19.0023i | −0.116232 | − | 0.659184i | ||||
\(832\) | 15.3704 | + | 4.25834i | 0.532871 | + | 0.147632i | ||||
\(833\) | 5.63814 | + | 2.05212i | 0.195350 | + | 0.0711016i | ||||
\(834\) | 21.7142 | − | 3.47253i | 0.751902 | − | 0.120244i | ||||
\(835\) | −0.686140 | −0.0237448 | ||||||||
\(836\) | −7.98202 | + | 8.17257i | −0.276064 | + | 0.282654i | ||||
\(837\) | 28.8892 | 0.998557 | ||||||||
\(838\) | −2.05991 | + | 0.329419i | −0.0711583 | + | 0.0113796i | ||||
\(839\) | 10.1232 | + | 3.68454i | 0.349492 | + | 0.127205i | 0.510800 | − | 0.859699i | \(-0.329349\pi\) |
−0.161309 | + | 0.986904i | \(0.551571\pi\) | |||||||
\(840\) | −0.162798 | − | 0.0368154i | −0.00561705 | − | 0.00127025i | ||||
\(841\) | 0.0204617 | + | 0.116044i | 0.000705577 | + | 0.00400153i | ||||
\(842\) | 28.4439 | + | 5.48475i | 0.980240 | + | 0.189017i | ||||
\(843\) | 5.81144 | + | 3.35524i | 0.200157 | + | 0.115560i | ||||
\(844\) | 12.1508 | − | 19.5756i | 0.418249 | − | 0.673820i | ||||
\(845\) | −0.320796 | − | 0.269179i | −0.0110357 | − | 0.00926005i | ||||
\(846\) | 8.37509 | + | 24.2052i | 0.287941 | + | 0.832193i | ||||
\(847\) | −11.2284 | + | 6.48273i | −0.385813 | + | 0.222749i | ||||
\(848\) | 18.8513 | − | 9.33457i | 0.647358 | − | 0.320550i | ||||
\(849\) | −7.61016 | − | 20.9087i | −0.261180 | − | 0.717586i | ||||
\(850\) | −7.84561 | − | 2.99818i | −0.269102 | − | 0.102837i | ||||
\(851\) | 6.55941 | − | 37.2003i | 0.224854 | − | 1.27521i | ||||
\(852\) | 1.58238 | + | 11.0197i | 0.0542115 | + | 0.377529i | ||||
\(853\) | −7.36168 | + | 6.17719i | −0.252059 | + | 0.211503i | −0.760058 | − | 0.649855i | \(-0.774830\pi\) |
0.507999 | + | 0.861358i | \(0.330385\pi\) | |||||||
\(854\) | 20.7785 | + | 12.4427i | 0.711026 | + | 0.425780i | ||||
\(855\) | −0.235879 | + | 0.370315i | −0.00806688 | + | 0.0126645i | ||||
\(856\) | 2.38701 | + | 0.114350i | 0.0815864 | + | 0.00390842i | ||||
\(857\) | 23.7226 | + | 28.2715i | 0.810349 | + | 0.965737i | 0.999870 | − | 0.0161401i | \(-0.00513779\pi\) |
−0.189520 | + | 0.981877i | \(0.560693\pi\) | |||||||
\(858\) | 2.61133 | − | 2.12109i | 0.0891492 | − | 0.0724128i | ||||
\(859\) | −23.0371 | − | 4.06206i | −0.786015 | − | 0.138596i | −0.233786 | − | 0.972288i | \(-0.575111\pi\) |
−0.552229 | + | 0.833693i | \(0.686223\pi\) | |||||||
\(860\) | 0.0236538 | + | 0.0300894i | 0.000806588 | + | 0.00102604i | ||||
\(861\) | −8.38509 | + | 3.05192i | −0.285763 | + | 0.104009i | ||||
\(862\) | 11.3533 | + | 20.4097i | 0.386694 | + | 0.695159i | ||||
\(863\) | −16.2551 | − | 28.1546i | −0.553329 | − | 0.958394i | −0.998031 | − | 0.0627154i | \(-0.980024\pi\) |
0.444703 | − | 0.895678i | \(-0.353309\pi\) | |||||||
\(864\) | 6.70085 | − | 25.7782i | 0.227968 | − | 0.876993i | ||||
\(865\) | −0.0586236 | + | 0.0698649i | −0.00199326 | + | 0.00237548i | ||||
\(866\) | 0.685470 | − | 42.9558i | 0.0232932 | − | 1.45970i | ||||
\(867\) | −7.09695 | + | 12.2923i | −0.241025 | + | 0.417468i | ||||
\(868\) | 11.4303 | − | 12.7714i | 0.387970 | − | 0.433488i | ||||
\(869\) | 14.1966 | − | 2.50325i | 0.481588 | − | 0.0849169i | ||||
\(870\) | −0.210305 | + | 0.242661i | −0.00713002 | + | 0.00822699i | ||||
\(871\) | 7.48480 | − | 20.5643i | 0.253613 | − | 0.696795i | ||||
\(872\) | −13.9049 | − | 18.2810i | −0.470878 | − | 0.619072i | ||||
\(873\) | − | 18.4385i | − | 0.624048i | ||||||
\(874\) | 3.13808 | − | 52.6647i | 0.106147 | − | 1.78141i | ||||
\(875\) | − | 0.647928i | − | 0.0219039i | ||||||
\(876\) | 10.9649 | + | 4.39197i | 0.370470 | + | 0.148391i | ||||
\(877\) | 13.6046 | − | 37.3782i | 0.459393 | − | 1.26217i | −0.466545 | − | 0.884497i | \(-0.654501\pi\) |
0.925938 | − | 0.377675i | \(-0.123276\pi\) | |||||||
\(878\) | −7.97567 | − | 6.91221i | −0.269166 | − | 0.233276i | ||||
\(879\) | −11.9396 | + | 2.10527i | −0.402712 | + | 0.0710090i | ||||
\(880\) | −0.236332 | − | 0.0574231i | −0.00796674 | − | 0.00193573i | ||||
\(881\) | −0.220653 | + | 0.382182i | −0.00743398 | + | 0.0128760i | −0.869718 | − | 0.493548i | \(-0.835700\pi\) |
0.862284 | + | 0.506424i | \(0.169033\pi\) | |||||||
\(882\) | −15.4994 | − | 0.247332i | −0.521891 | − | 0.00832811i | ||||
\(883\) | −22.6148 | + | 26.9512i | −0.761048 | + | 0.906981i | −0.997914 | − | 0.0645611i | \(-0.979435\pi\) |
0.236866 | + | 0.971542i | \(0.423880\pi\) | |||||||
\(884\) | −4.63756 | − | 0.971240i | −0.155978 | − | 0.0326663i | ||||
\(885\) | −0.247654 | − | 0.428949i | −0.00832480 | − | 0.0144190i | ||||
\(886\) | −40.3636 | + | 22.4529i | −1.35604 | + | 0.754322i | ||||
\(887\) | −30.0097 | + | 10.9226i | −1.00763 | + | 0.366746i | −0.792521 | − | 0.609845i | \(-0.791232\pi\) |
−0.215105 | + | 0.976591i | \(0.569009\pi\) | |||||||
\(888\) | 11.2762 | − | 1.43598i | 0.378405 | − | 0.0481883i | ||||
\(889\) | −18.0218 | − | 3.17774i | −0.604433 | − | 0.106578i | ||||
\(890\) | −0.572296 | − | 0.704567i | −0.0191834 | − | 0.0236172i | ||||
\(891\) | 1.87433 | + | 2.23374i | 0.0627925 | + | 0.0748331i | ||||
\(892\) | −1.92420 | − | 3.59289i | −0.0644268 | − | 0.120299i | ||||
\(893\) | −24.5664 | + | 26.8135i | −0.822083 | + | 0.897280i | ||||
\(894\) | 8.85105 | − | 14.7807i | 0.296023 | − | 0.494341i | ||||
\(895\) | 0.815575 | − | 0.684349i | 0.0272617 | − | 0.0228753i | ||||
\(896\) | −8.74479 | − | 13.1617i | −0.292143 | − | 0.439703i | ||||
\(897\) | −2.69795 | + | 15.3008i | −0.0900819 | + | 0.510880i | ||||
\(898\) | 2.62189 | − | 6.86094i | 0.0874936 | − | 0.228953i | ||||
\(899\) | −11.2778 | − | 30.9856i | −0.376137 | − | 1.03343i | ||||
\(900\) | 21.6882 | + | 0.692359i | 0.722941 | + | 0.0230786i | ||||
\(901\) | −5.41201 | + | 3.12463i | −0.180300 | + | 0.104096i | ||||
\(902\) | −12.2876 | + | 4.25155i | −0.409132 | + | 0.141561i | ||||
\(903\) | 0.401819 | + | 0.337166i | 0.0133717 | + | 0.0112202i | ||||
\(904\) | 35.7552 | − | 18.4209i | 1.18920 | − | 0.612670i | ||||
\(905\) | 0.863341 | + | 0.498450i | 0.0286984 | + | 0.0165690i | ||||
\(906\) | 0.134700 | − | 0.698553i | 0.00447511 | − | 0.0232079i | ||||
\(907\) | 2.47076 | + | 14.0124i | 0.0820404 | + | 0.465274i | 0.997956 | + | 0.0639034i | \(0.0203549\pi\) |
−0.915916 | + | 0.401371i | \(0.868534\pi\) | |||||||
\(908\) | −23.5471 | + | 7.72894i | −0.781438 | + | 0.256494i | ||||
\(909\) | −21.5029 | − | 7.82640i | −0.713205 | − | 0.259585i | ||||
\(910\) | −0.0288540 | − | 0.180428i | −0.000956500 | − | 0.00598113i | ||||
\(911\) | 6.23491 | 0.206572 | 0.103286 | − | 0.994652i | \(-0.467064\pi\) | ||||
0.103286 | + | 0.994652i | \(0.467064\pi\) | |||||||
\(912\) | 15.4149 | − | 3.79977i | 0.510439 | − | 0.125823i | ||||
\(913\) | 0.962289 | 0.0318471 | ||||||||
\(914\) | −2.95076 | − | 18.4516i | −0.0976026 | − | 0.610323i | ||||
\(915\) | −0.486799 | − | 0.177180i | −0.0160931 | − | 0.00585740i | ||||
\(916\) | −17.6571 | + | 5.79565i | −0.583407 | + | 0.191494i | ||||
\(917\) | 0.329239 | + | 1.86721i | 0.0108724 | + | 0.0616607i | ||||
\(918\) | −1.49817 | + | 7.76948i | −0.0494468 | + | 0.256431i | ||||
\(919\) | −1.40693 | − | 0.812293i | −0.0464104 | − | 0.0267951i | 0.476615 | − | 0.879112i | \(-0.341863\pi\) |
−0.523026 | + | 0.852317i | \(0.675197\pi\) | |||||||
\(920\) | 0.998474 | − | 0.514410i | 0.0329187 | − | 0.0169596i | ||||
\(921\) | −19.8875 | − | 16.6876i | −0.655315 | − | 0.549875i | ||||
\(922\) | 35.1645 | − | 12.1670i | 1.15808 | − | 0.400700i | ||||
\(923\) | −10.5546 | + | 6.09371i | −0.347409 | + | 0.200577i | ||||
\(924\) | −3.33145 | − | 0.106351i | −0.109597 | − | 0.00349868i | ||||
\(925\) | 7.54453 | + | 20.7284i | 0.248063 | + | 0.681547i | ||||
\(926\) | −10.6736 | + | 27.9307i | −0.350757 | + | 0.917859i | ||||
\(927\) | −0.218548 | + | 1.23945i | −0.00717805 | + | 0.0407087i | ||||
\(928\) | −30.2648 | + | 2.87626i | −0.993490 | + | 0.0944177i | ||||
\(929\) | −14.7421 | + | 12.3701i | −0.483672 | + | 0.405849i | −0.851752 | − | 0.523945i | \(-0.824460\pi\) |
0.368080 | + | 0.929794i | \(0.380015\pi\) | |||||||
\(930\) | −0.188346 | + | 0.314526i | −0.00617611 | + | 0.0103137i | ||||
\(931\) | −10.1640 | − | 19.5214i | −0.333113 | − | 0.639789i | ||||
\(932\) | −7.50894 | − | 14.0208i | −0.245963 | − | 0.459267i | ||||
\(933\) | −15.3010 | − | 18.2350i | −0.500932 | − | 0.596987i | ||||
\(934\) | 28.2270 | + | 34.7510i | 0.923616 | + | 1.13709i | ||||
\(935\) | 0.0711536 | + | 0.0125463i | 0.00232697 | + | 0.000410308i | ||||
\(936\) | 12.1433 | − | 1.54640i | 0.396916 | − | 0.0505457i | ||||
\(937\) | 7.32200 | − | 2.66499i | 0.239199 | − | 0.0870615i | −0.219639 | − | 0.975581i | \(-0.570488\pi\) |
0.458838 | + | 0.888520i | \(0.348266\pi\) | |||||||
\(938\) | −18.9477 | + | 10.5400i | −0.618663 | + | 0.344142i | ||||
\(939\) | −1.61818 | − | 2.80277i | −0.0528074 | − | 0.0914650i | ||||
\(940\) | −0.757772 | − | 0.158699i | −0.0247158 | − | 0.00517621i | ||||
\(941\) | −15.8110 | + | 18.8429i | −0.515425 | + | 0.614260i | −0.959493 | − | 0.281734i | \(-0.909091\pi\) |
0.444068 | + | 0.895993i | \(0.353535\pi\) | |||||||
\(942\) | −8.94904 | − | 0.142805i | −0.291576 | − | 0.00465284i | ||||
\(943\) | 30.0240 | − | 52.0032i | 0.977717 | − | 1.69346i | ||||
\(944\) | 11.0718 | − | 45.5673i | 0.360356 | − | 1.48309i | ||||
\(945\) | −0.300502 | + | 0.0529867i | −0.00977534 | + | 0.00172366i | ||||
\(946\) | 0.577591 | + | 0.500576i | 0.0187791 | + | 0.0162751i | ||||
\(947\) | 1.99484 | − | 5.48078i | 0.0648236 | − | 0.178101i | −0.903052 | − | 0.429532i | \(-0.858679\pi\) |
0.967875 | + | 0.251430i | \(0.0809009\pi\) | |||||||
\(948\) | −18.5978 | − | 7.44931i | −0.604029 | − | 0.241942i | ||||
\(949\) | 12.9308i | 0.419751i | ||||||||
\(950\) | 13.7901 | + | 27.5502i | 0.447410 | + | 0.893847i | ||||
\(951\) | 12.6600i | 0.410528i | ||||||||
\(952\) | 2.84197 | + | 3.73638i | 0.0921087 | + | 0.121097i | ||||
\(953\) | 0.622993 | − | 1.71166i | 0.0201807 | − | 0.0554461i | −0.929193 | − | 0.369594i | \(-0.879497\pi\) |
0.949374 | + | 0.314148i | \(0.101719\pi\) | |||||||
\(954\) | 10.5740 | − | 12.2009i | 0.342347 | − | 0.395019i | ||||
\(955\) | 0.350970 | − | 0.0618855i | 0.0113571 | − | 0.00200257i | ||||
\(956\) | −27.9401 | + | 31.2181i | −0.903648 | + | 1.00967i | ||||
\(957\) | −3.20629 | + | 5.55346i | −0.103645 | + | 0.179518i | ||||
\(958\) | 0.305313 | − | 19.1328i | 0.00986422 | − | 0.618153i | ||||
\(959\) | 6.92480 | − | 8.25265i | 0.223613 | − | 0.266492i | ||||
\(960\) | 0.236969 | + | 0.241018i | 0.00764814 | + | 0.00777882i | ||||
\(961\) | −3.32299 | − | 5.75559i | −0.107193 | − | 0.185664i | ||||
\(962\) | 6.04933 | + | 10.8749i | 0.195038 | + | 0.350620i | ||||
\(963\) | 1.72356 | − | 0.627323i | 0.0555408 | − | 0.0202152i | ||||
\(964\) | 11.6977 | + | 14.8803i | 0.376756 | + | 0.479261i | ||||
\(965\) | −0.177732 | − | 0.0313390i | −0.00572140 | − | 0.00100884i | ||||
\(966\) | 11.9483 | − | 9.70523i | 0.384432 | − | 0.312261i | ||||
\(967\) | 12.3518 | + | 14.7203i | 0.397208 | + | 0.473375i | 0.927167 | − | 0.374649i | \(-0.122237\pi\) |
−0.529958 | + | 0.848024i | \(0.677792\pi\) | |||||||
\(968\) | 26.2258 | + | 1.25635i | 0.842929 | + | 0.0403807i | ||||
\(969\) | −4.49808 | + | 1.41861i | −0.144499 | + | 0.0455722i | ||||
\(970\) | 0.478164 | + | 0.286337i | 0.0153529 | + | 0.00919371i | ||||
\(971\) | −42.8513 | + | 35.9565i | −1.37516 | + | 1.15390i | −0.404201 | + | 0.914670i | \(0.632450\pi\) |
−0.970963 | + | 0.239230i | \(0.923105\pi\) | |||||||
\(972\) | −4.59147 | − | 31.9751i | −0.147272 | − | 1.02560i | ||||
\(973\) | 4.14168 | − | 23.4886i | 0.132776 | − | 0.753011i | ||||
\(974\) | −17.1641 | − | 6.55920i | −0.549972 | − | 0.210170i | ||||
\(975\) | −3.10314 | − | 8.52580i | −0.0993799 | − | 0.273044i | ||||
\(976\) | −21.7636 | − | 43.9520i | −0.696636 | − | 1.40687i | ||||
\(977\) | −10.5268 | + | 6.07767i | −0.336783 | + | 0.194442i | −0.658849 | − | 0.752275i | \(-0.728956\pi\) |
0.322065 | + | 0.946717i | \(0.395623\pi\) | |||||||
\(978\) | −6.86436 | − | 19.8390i | −0.219498 | − | 0.634382i | ||||
\(979\) | −13.8860 | − | 11.6517i | −0.443799 | − | 0.372391i | ||||
\(980\) | 0.247108 | − | 0.398103i | 0.00789358 | − | 0.0127169i | ||||
\(981\) | −15.2667 | − | 8.81424i | −0.487428 | − | 0.281417i | ||||
\(982\) | 45.1988 | + | 8.71555i | 1.44235 | + | 0.278124i | ||||
\(983\) | 4.91750 | + | 27.8885i | 0.156844 | + | 0.889506i | 0.957081 | + | 0.289822i | \(0.0935960\pi\) |
−0.800237 | + | 0.599684i | \(0.795293\pi\) | |||||||
\(984\) | 17.6250 | + | 3.98577i | 0.561866 | + | 0.127062i | ||||
\(985\) | −0.508795 | − | 0.185186i | −0.0162116 | − | 0.00590053i | ||||
\(986\) | 8.91814 | − | 1.42618i | 0.284011 | − | 0.0454189i | ||||
\(987\) | −10.6105 | −0.337737 | ||||||||
\(988\) | 10.1362 | + | 14.1186i | 0.322476 | + | 0.449173i | ||||
\(989\) | −3.52983 | −0.112242 | ||||||||
\(990\) | −0.184324 | + | 0.0294770i | −0.00585819 | + | 0.000936839i | ||||
\(991\) | −28.8710 | − | 10.5082i | −0.917116 | − | 0.333803i | −0.160026 | − | 0.987113i | \(-0.551158\pi\) |
−0.757091 | + | 0.653310i | \(0.773380\pi\) | |||||||
\(992\) | −33.4575 | + | 9.23389i | −1.06228 | + | 0.293176i | ||||
\(993\) | −1.12404 | − | 6.37473i | −0.0356702 | − | 0.202296i | ||||
\(994\) | 11.8564 | + | 2.28624i | 0.376062 | + | 0.0725150i | ||||
\(995\) | −0.870991 | − | 0.502867i | −0.0276123 | − | 0.0159420i | ||||
\(996\) | −1.13625 | − | 0.705287i | −0.0360035 | − | 0.0223479i | ||||
\(997\) | 42.8223 | + | 35.9321i | 1.35619 | + | 1.13798i | 0.977137 | + | 0.212609i | \(0.0681961\pi\) |
0.379057 | + | 0.925373i | \(0.376248\pi\) | |||||||
\(998\) | −1.91574 | − | 5.53678i | −0.0606418 | − | 0.175264i | ||||
\(999\) | 17.9972 | − | 10.3907i | 0.569406 | − | 0.328747i |
(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 | 76.2.k.a.51.5 | yes | 48 | |
3.2 | odd | 2 | 684.2.cf.a.127.4 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.51.8 | yes | 48 | |
12.11 | even | 2 | 684.2.cf.a.127.1 | 48 | |||
19.3 | odd | 18 | inner | 76.2.k.a.3.8 | yes | 48 | |
57.41 | even | 18 | 684.2.cf.a.307.1 | 48 | |||
76.3 | even | 18 | inner | 76.2.k.a.3.5 | ✓ | 48 | |
228.155 | odd | 18 | 684.2.cf.a.307.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.3.5 | ✓ | 48 | 76.3 | even | 18 | inner | |
76.2.k.a.3.8 | yes | 48 | 19.3 | odd | 18 | inner | |
76.2.k.a.51.5 | yes | 48 | 1.1 | even | 1 | trivial | |
76.2.k.a.51.8 | yes | 48 | 4.3 | odd | 2 | inner | |
684.2.cf.a.127.1 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.127.4 | 48 | 3.2 | odd | 2 | |||
684.2.cf.a.307.1 | 48 | 57.41 | even | 18 | |||
684.2.cf.a.307.4 | 48 | 228.155 | odd | 18 |