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 | 51.8 | ||
Character | \(\chi\) | \(=\) | 76.51 |
Dual form | 76.2.k.a.3.8 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.33647 | + | 0.462424i | 0.945030 | + | 0.326983i | ||||
\(3\) | −0.855656 | − | 0.311433i | −0.494013 | − | 0.179806i | 0.0829861 | − | 0.996551i | \(-0.473554\pi\) |
−0.576999 | + | 0.816745i | \(0.695777\pi\) | |||||||
\(4\) | 1.57233 | + | 1.23604i | 0.786164 | + | 0.618018i | ||||
\(5\) | −0.00805719 | − | 0.0456946i | −0.00360328 | − | 0.0204352i | 0.982953 | − | 0.183856i | \(-0.0588582\pi\) |
−0.986556 | + | 0.163421i | \(0.947747\pi\) | |||||||
\(6\) | −0.999548 | − | 0.811899i | −0.408064 | − | 0.331456i | ||||
\(7\) | −1.20959 | − | 0.698356i | −0.457181 | − | 0.263954i | 0.253677 | − | 0.967289i | \(-0.418360\pi\) |
−0.710858 | + | 0.703335i | \(0.751693\pi\) | |||||||
\(8\) | 1.52980 | + | 2.37901i | 0.540867 | + | 0.841108i | ||||
\(9\) | −1.66298 | − | 1.39540i | −0.554326 | − | 0.465134i | ||||
\(10\) | 0.0103621 | − | 0.0647955i | 0.00327677 | − | 0.0204901i | ||||
\(11\) | −1.13484 | + | 0.655201i | −0.342167 | + | 0.197550i | −0.661230 | − | 0.750183i | \(-0.729965\pi\) |
0.319063 | + | 0.947734i | \(0.396632\pi\) | |||||||
\(12\) | −0.960429 | − | 1.54730i | −0.277252 | − | 0.446666i | ||||
\(13\) | −0.681875 | − | 1.87343i | −0.189118 | − | 0.519597i | 0.808506 | − | 0.588488i | \(-0.200276\pi\) |
−0.997624 | + | 0.0688902i | \(0.978054\pi\) | |||||||
\(14\) | −1.29365 | − | 1.49268i | −0.345742 | − | 0.398935i | ||||
\(15\) | −0.00733663 | + | 0.0416081i | −0.00189431 | + | 0.0107432i | ||||
\(16\) | 0.944429 | + | 3.88691i | 0.236107 | + | 0.971727i | ||||
\(17\) | −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 | ||||
\(22\) | −1.81967 | + | 0.350881i | −0.387954 | + | 0.0748081i | ||||
\(23\) | 8.42847 | + | 1.48617i | 1.75746 | + | 0.309887i | 0.957126 | − | 0.289672i | \(-0.0935461\pi\) |
0.800331 | + | 0.599559i | \(0.204657\pi\) | |||||||
\(24\) | −0.568081 | − | 2.51205i | −0.115959 | − | 0.512770i | ||||
\(25\) | 4.69644 | − | 1.70936i | 0.939288 | − | 0.341873i | ||||
\(26\) | −0.0449862 | − | 2.81911i | −0.00882252 | − | 0.552874i | ||||
\(27\) | 2.35422 | + | 4.07762i | 0.453069 | + | 0.784739i | ||||
\(28\) | −1.03868 | − | 2.59314i | −0.196291 | − | 0.490057i | ||||
\(29\) | −3.45448 | + | 4.11689i | −0.641480 | + | 0.764487i | −0.984603 | − | 0.174804i | \(-0.944071\pi\) |
0.343123 | + | 0.939291i | \(0.388515\pi\) | |||||||
\(30\) | −0.0290458 | + | 0.0522155i | −0.00530302 | + | 0.00953321i | ||||
\(31\) | 3.06782 | − | 5.31361i | 0.550996 | − | 0.954353i | −0.447207 | − | 0.894431i | \(-0.647581\pi\) |
0.998203 | − | 0.0599227i | \(-0.0190854\pi\) | |||||||
\(32\) | −0.535196 | + | 5.63148i | −0.0946101 | + | 0.995514i | ||||
\(33\) | 1.17509 | − | 0.207199i | 0.204556 | − | 0.0360688i | ||||
\(34\) | −1.56980 | + | 0.599894i | −0.269218 | + | 0.102881i | ||||
\(35\) | −0.0221652 | + | 0.0608984i | −0.00374660 | + | 0.0102937i | ||||
\(36\) | −0.889975 | − | 4.24953i | −0.148329 | − | 0.708255i | ||||
\(37\) | 4.41365i | 0.725599i | 0.931867 | + | 0.362800i | \(0.118179\pi\) | ||||
−0.931867 | + | 0.362800i | \(0.881821\pi\) | |||||||
\(38\) | −5.73226 | − | 2.26743i | −0.929895 | − | 0.367825i | ||||
\(39\) | 1.81537i | 0.290693i | ||||||||
\(40\) | 0.0963821 | − | 0.0890718i | 0.0152393 | − | 0.0140835i | ||||
\(41\) | −2.39968 | + | 6.59307i | −0.374767 | + | 1.02966i | 0.598727 | + | 0.800953i | \(0.295673\pi\) |
−0.973494 | + | 0.228712i | \(0.926549\pi\) | |||||||
\(42\) | 0.642047 | + | 1.68010i | 0.0990700 | + | 0.259246i | ||||
\(43\) | −0.406170 | + | 0.0716188i | −0.0619404 | + | 0.0109218i | −0.204532 | − | 0.978860i | \(-0.565567\pi\) |
0.142592 | + | 0.989782i | \(0.454456\pi\) | |||||||
\(44\) | −2.59419 | − | 0.372514i | −0.391089 | − | 0.0561587i | ||||
\(45\) | −0.0503634 | + | 0.0872320i | −0.00750774 | + | 0.0130038i | ||||
\(46\) | 10.5772 | + | 5.88375i | 1.55952 | + | 0.867512i | ||||
\(47\) | 5.36271 | − | 6.39102i | 0.782231 | − | 0.932227i | −0.216801 | − | 0.976216i | \(-0.569562\pi\) |
0.999032 | + | 0.0439892i | \(0.0140067\pi\) | |||||||
\(48\) | 0.402407 | − | 3.61998i | 0.0580824 | − | 0.522500i | ||||
\(49\) | −2.52460 | − | 4.37273i | −0.360657 | − | 0.624676i | ||||
\(50\) | 7.06712 | − | 0.112774i | 0.999442 | − | 0.0159487i | ||||
\(51\) | 1.01678 | − | 0.370078i | 0.142378 | − | 0.0518213i | ||||
\(52\) | 1.24350 | − | 3.78848i | 0.172443 | − | 0.525367i | ||||
\(53\) | 5.17907 | + | 0.913210i | 0.711400 | + | 0.125439i | 0.517626 | − | 0.855607i | \(-0.326816\pi\) |
0.193774 | + | 0.981046i | \(0.437927\pi\) | |||||||
\(54\) | 1.26076 | + | 6.53828i | 0.171568 | + | 0.889748i | ||||
\(55\) | 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 | −0.999990 | − | 0.00453778i | \(-0.998556\pi\) |
−0.169178 | + | 0.985586i | \(0.554111\pi\) | |||||||
\(60\) | −0.0629647 | + | 0.0563533i | −0.00812871 | + | 0.00727517i | ||||
\(61\) | 2.12915 | − | 12.0750i | 0.272610 | − | 1.54605i | −0.473841 | − | 0.880610i | \(-0.657133\pi\) |
0.746452 | − | 0.665440i | \(-0.231756\pi\) | |||||||
\(62\) | 6.55720 | − | 5.68288i | 0.832765 | − | 0.721726i | ||||
\(63\) | 1.03703 | + | 2.84921i | 0.130653 | + | 0.358967i | ||||
\(64\) | −3.31941 | + | 7.27884i | −0.414926 | + | 0.909855i | ||||
\(65\) | −0.0801118 | + | 0.0462526i | −0.00993665 | + | 0.00573693i | ||||
\(66\) | 1.66629 | + | 0.266471i | 0.205106 | + | 0.0328004i | ||||
\(67\) | −8.40871 | − | 7.05575i | −1.02729 | − | 0.861997i | −0.0367622 | − | 0.999324i | \(-0.511704\pi\) |
−0.990526 | + | 0.137327i | \(0.956149\pi\) | |||||||
\(68\) | −2.37540 | + | 0.0758305i | −0.288060 | + | 0.00919580i | ||||
\(69\) | −6.74903 | − | 3.89655i | −0.812487 | − | 0.469090i | ||||
\(70\) | −0.0577841 | + | 0.0711394i | −0.00690652 | + | 0.00850279i | ||||
\(71\) | 1.06152 | + | 6.02019i | 0.125979 | + | 0.714465i | 0.980721 | + | 0.195412i | \(0.0626043\pi\) |
−0.854742 | + | 0.519053i | \(0.826285\pi\) | |||||||
\(72\) | 0.775657 | − | 6.09094i | 0.0914120 | − | 0.717824i | ||||
\(73\) | −6.09478 | − | 2.21832i | −0.713341 | − | 0.259635i | −0.0402446 | − | 0.999190i | \(-0.512814\pi\) |
−0.673096 | + | 0.739555i | \(0.735036\pi\) | |||||||
\(74\) | −2.04098 | + | 5.89873i | −0.237259 | + | 0.685713i | ||||
\(75\) | −4.55089 | −0.525492 | ||||||||
\(76\) | −6.61250 | − | 5.68109i | −0.758506 | − | 0.651666i | ||||
\(77\) | 1.83025 | 0.208577 | ||||||||
\(78\) | −0.839473 | + | 2.42620i | −0.0950516 | + | 0.274713i | ||||
\(79\) | −10.3375 | − | 3.76254i | −1.16306 | − | 0.423319i | −0.312870 | − | 0.949796i | \(-0.601290\pi\) |
−0.850189 | + | 0.526477i | \(0.823512\pi\) | |||||||
\(80\) | 0.170001 | − | 0.0744728i | 0.0190067 | − | 0.00832631i | ||||
\(81\) | 0.386407 | + | 2.19142i | 0.0429341 | + | 0.243491i | ||||
\(82\) | −6.25591 | + | 7.70180i | −0.690850 | + | 0.850522i | ||||
\(83\) | −0.635962 | − | 0.367173i | −0.0698060 | − | 0.0403025i | 0.464691 | − | 0.885473i | \(-0.346165\pi\) |
−0.534497 | + | 0.845171i | \(0.679499\pi\) | |||||||
\(84\) | 0.0811589 | + | 2.54231i | 0.00885516 | + | 0.277389i | ||||
\(85\) | 0.0422372 | + | 0.0354412i | 0.00458127 | + | 0.00384414i | ||||
\(86\) | −0.575954 | − | 0.0921063i | −0.0621067 | − | 0.00993208i | ||||
\(87\) | 4.23798 | − | 2.44680i | 0.454359 | − | 0.262324i | ||||
\(88\) | −3.29481 | − | 1.69747i | −0.351228 | − | 0.180951i | ||||
\(89\) | −4.73119 | − | 12.9988i | −0.501506 | − | 1.37788i | −0.889805 | − | 0.456342i | \(-0.849159\pi\) |
0.388299 | − | 0.921533i | \(-0.373063\pi\) | |||||||
\(90\) | −0.107648 | + | 0.0932941i | −0.0113471 | + | 0.00983406i | ||||
\(91\) | −0.483537 | + | 2.74227i | −0.0506885 | + | 0.287469i | ||||
\(92\) | 11.4154 | + | 12.7546i | 1.19013 | + | 1.32976i | ||||
\(93\) | −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 | \(0.635869\pi\) | |||||||
\(98\) | −1.35200 | − | 7.01148i | −0.136573 | − | 0.708266i | ||||
\(99\) | 2.80148 | + | 0.493977i | 0.281560 | + | 0.0496466i | ||||
\(100\) | 9.49718 | + | 3.11729i | 0.949718 | + | 0.311729i | ||||
\(101\) | 9.90522 | − | 3.60521i | 0.985606 | − | 0.358731i | 0.201589 | − | 0.979470i | \(-0.435389\pi\) |
0.784017 | + | 0.620739i | \(0.213167\pi\) | |||||||
\(102\) | 1.53003 | − | 0.0244156i | 0.151496 | − | 0.00241751i | ||||
\(103\) | 0.289877 | + | 0.502082i | 0.0285624 | + | 0.0494716i | 0.879953 | − | 0.475060i | \(-0.157574\pi\) |
−0.851391 | + | 0.524532i | \(0.824240\pi\) | |||||||
\(104\) | 3.41379 | − | 4.48817i | 0.334750 | − | 0.440102i | ||||
\(105\) | 0.0379316 | − | 0.0452051i | 0.00370174 | − | 0.00441157i | ||||
\(106\) | 6.49940 | + | 3.61541i | 0.631278 | + | 0.351160i | ||||
\(107\) | 0.422452 | − | 0.731708i | 0.0408400 | − | 0.0707369i | −0.844883 | − | 0.534951i | \(-0.820330\pi\) |
0.885723 | + | 0.464214i | \(0.153663\pi\) | |||||||
\(108\) | −1.33849 | + | 9.32126i | −0.128796 | + | 0.896938i | ||||
\(109\) | 7.99713 | − | 1.41011i | 0.765986 | − | 0.135064i | 0.223014 | − | 0.974815i | \(-0.428410\pi\) |
0.542971 | + | 0.839751i | \(0.317299\pi\) | |||||||
\(110\) | 0.0306948 | + | 0.0803218i | 0.00292663 | + | 0.00765838i | ||||
\(111\) | 1.37456 | − | 3.77656i | 0.130467 | − | 0.358456i | ||||
\(112\) | 1.57208 | − | 5.36110i | 0.148547 | − | 0.506577i | ||||
\(113\) | 14.2204i | 1.33774i | 0.743378 | + | 0.668872i | \(0.233223\pi\) | ||||
−0.743378 | + | 0.668872i | \(0.766777\pi\) | |||||||
\(114\) | 4.19869 | + | 3.72535i | 0.393243 | + | 0.348911i | ||||
\(115\) | − | 0.397110i | − | 0.0370307i | ||||||
\(116\) | −10.5202 | + | 2.20323i | −0.976775 | + | 0.204565i | ||||
\(117\) | −1.48026 | + | 4.06697i | −0.136850 | + | 0.375991i | ||||
\(118\) | −15.4869 | + | 5.91828i | −1.42568 | + | 0.544822i | ||||
\(119\) | 1.63450 | − | 0.288207i | 0.149835 | − | 0.0264199i | ||||
\(120\) | −0.110210 | + | 0.0461983i | −0.0100607 | + | 0.00421730i | ||||
\(121\) | −4.64142 | + | 8.03918i | −0.421948 | + | 0.730835i | ||||
\(122\) | 8.42935 | − | 15.1534i | 0.763157 | − | 1.37192i | ||||
\(123\) | 4.10660 | − | 4.89406i | 0.370280 | − | 0.441283i | ||||
\(124\) | 11.3914 | − | 4.56281i | 1.02298 | − | 0.409752i | ||||
\(125\) | −0.231948 | − | 0.401745i | −0.0207460 | − | 0.0359332i | ||||
\(126\) | 0.0684172 | + | 4.28745i | 0.00609509 | + | 0.381956i | ||||
\(127\) | 12.3119 | − | 4.48118i | 1.09251 | − | 0.397641i | 0.267959 | − | 0.963430i | \(-0.413651\pi\) |
0.824550 | + | 0.565790i | \(0.191429\pi\) | |||||||
\(128\) | −7.80222 | + | 8.19301i | −0.689625 | + | 0.724167i | ||||
\(129\) | 0.369846 | + | 0.0652139i | 0.0325632 | + | 0.00574176i | ||||
\(130\) | −0.128456 | + | 0.0247697i | −0.0112663 | + | 0.00217245i | ||||
\(131\) | −0.872574 | − | 1.03989i | −0.0762372 | − | 0.0908559i | 0.726578 | − | 0.687084i | \(-0.241110\pi\) |
−0.802815 | + | 0.596228i | \(0.796665\pi\) | |||||||
\(132\) | 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 | ||||
\(136\) | −3.20973 | − | 0.997097i | −0.275232 | − | 0.0855004i | ||||
\(137\) | 1.33938 | − | 7.59599i | 0.114431 | − | 0.648969i | −0.872600 | − | 0.488436i | \(-0.837568\pi\) |
0.987030 | − | 0.160533i | \(-0.0513213\pi\) | |||||||
\(138\) | −7.21804 | − | 8.32856i | −0.614440 | − | 0.708974i | ||||
\(139\) | 5.84051 | + | 16.0467i | 0.495386 | + | 1.36106i | 0.895690 | + | 0.444679i | \(0.146682\pi\) |
−0.400304 | + | 0.916382i | \(0.631096\pi\) | |||||||
\(140\) | −0.110124 | + | 0.0683552i | −0.00930714 | + | 0.00577707i | ||||
\(141\) | −6.57901 | + | 3.79839i | −0.554053 | + | 0.319882i | ||||
\(142\) | −1.36518 | + | 8.53670i | −0.114564 | + | 0.716384i | ||||
\(143\) | 2.00130 | + | 1.67929i | 0.167357 | + | 0.140429i | ||||
\(144\) | 3.85324 | − | 7.78170i | 0.321103 | − | 0.648475i | ||||
\(145\) | 0.215953 | + | 0.124680i | 0.0179339 | + | 0.0103541i | ||||
\(146\) | −7.11972 | − | 5.78310i | −0.589232 | − | 0.478613i | ||||
\(147\) | 0.798373 | + | 4.52780i | 0.0658487 | + | 0.373447i | ||||
\(148\) | −5.45543 | + | 6.93970i | −0.448433 | + | 0.570440i | ||||
\(149\) | −12.5718 | − | 4.57575i | −1.02992 | − | 0.374860i | −0.228870 | − | 0.973457i | \(-0.573503\pi\) |
−0.801051 | + | 0.598597i | \(0.795725\pi\) | |||||||
\(150\) | −6.08215 | − | 2.10444i | −0.496605 | − | 0.171827i | ||||
\(151\) | 0.552457 | 0.0449583 | 0.0224792 | − | 0.999747i | \(-0.492844\pi\) | ||||
0.0224792 | + | 0.999747i | \(0.492844\pi\) | |||||||
\(152\) | −6.21037 | − | 10.6504i | −0.503727 | − | 0.863863i | ||||
\(153\) | 2.57965 | 0.208552 | ||||||||
\(154\) | 2.44609 | + | 0.846353i | 0.197111 | + | 0.0682011i | ||||
\(155\) | −0.267521 | − | 0.0973698i | −0.0214878 | − | 0.00782093i | ||||
\(156\) | −2.24387 | + | 2.85436i | −0.179653 | + | 0.228532i | ||||
\(157\) | 1.20691 | + | 6.84471i | 0.0963216 | + | 0.546267i | 0.994334 | + | 0.106298i | \(0.0338996\pi\) |
−0.898013 | + | 0.439970i | \(0.854989\pi\) | |||||||
\(158\) | −12.0759 | − | 9.80884i | −0.960707 | − | 0.780350i | ||||
\(159\) | −4.14710 | − | 2.39433i | −0.328886 | − | 0.189883i | ||||
\(160\) | 0.261640 | − | 0.0209183i | 0.0206845 | − | 0.00165374i | ||||
\(161\) | −9.15710 | − | 7.68372i | −0.721680 | − | 0.605562i | ||||
\(162\) | −0.496944 | + | 3.10746i | −0.0390436 | + | 0.244145i | ||||
\(163\) | 14.1181 | − | 8.15109i | 1.10582 | − | 0.638443i | 0.168073 | − | 0.985775i | \(-0.446245\pi\) |
0.937742 | + | 0.347332i | \(0.112912\pi\) | |||||||
\(164\) | −11.9224 | + | 7.40038i | −0.930980 | + | 0.577872i | ||||
\(165\) | −0.0189358 | − | 0.0520256i | −0.00147415 | − | 0.00405019i | ||||
\(166\) | −0.680158 | − | 0.784802i | −0.0527905 | − | 0.0609124i | ||||
\(167\) | −2.56785 | + | 14.5630i | −0.198706 | + | 1.12692i | 0.708335 | + | 0.705876i | \(0.249447\pi\) |
−0.907041 | + | 0.421042i | \(0.861664\pi\) | |||||||
\(168\) | −1.06716 | + | 3.43527i | −0.0823332 | + | 0.265037i | ||||
\(169\) | 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 | \(0.801584\pi\) | |||||||
\(174\) | 6.79541 | − | 1.31034i | 0.515159 | − | 0.0993366i | ||||
\(175\) | −6.87450 | − | 1.21216i | −0.519663 | − | 0.0916307i | ||||
\(176\) | −3.61848 | − | 3.79223i | −0.272753 | − | 0.285850i | ||||
\(177\) | 10.0311 | − | 3.65102i | 0.753983 | − | 0.274427i | ||||
\(178\) | −0.312137 | − | 19.5604i | −0.0233957 | − | 1.46612i | ||||
\(179\) | −11.4727 | − | 19.8714i | −0.857512 | − | 1.48526i | −0.874294 | − | 0.485396i | \(-0.838675\pi\) |
0.0167821 | − | 0.999859i | \(-0.494658\pi\) | |||||||
\(180\) | −0.187010 | + | 0.0749063i | −0.0139389 | + | 0.00558319i | ||||
\(181\) | −13.8104 | + | 16.4586i | −1.02652 | + | 1.22336i | −0.0520937 | + | 0.998642i | \(0.516589\pi\) |
−0.974425 | + | 0.224715i | \(0.927855\pi\) | |||||||
\(182\) | −1.91433 | + | 3.44138i | −0.141900 | + | 0.255092i | ||||
\(183\) | −5.58239 | + | 9.66899i | −0.412662 | + | 0.714752i | ||||
\(184\) | 9.35828 | + | 22.3250i | 0.689902 | + | 1.64582i | ||||
\(185\) | 0.201680 | − | 0.0355616i | 0.0148278 | − | 0.00261454i | ||||
\(186\) | −7.38055 | + | 2.82046i | −0.541168 | + | 0.206806i | ||||
\(187\) | 0.532579 | − | 1.46325i | 0.0389460 | − | 0.107003i | ||||
\(188\) | 16.3315 | − | 3.42028i | 1.19109 | − | 0.249450i | ||||
\(189\) | − | 6.57632i | − | 0.478357i | ||||||
\(190\) | −0.0574232 | + | 0.280202i | −0.00416592 | + | 0.0203280i | ||||
\(191\) | − | 7.68079i | − | 0.555762i | −0.960615 | − | 0.277881i | \(-0.910368\pi\) | ||
0.960615 | − | 0.277881i | \(-0.0896321\pi\) | |||||||
\(192\) | 5.10715 | − | 5.19441i | 0.368576 | − | 0.374874i | ||||
\(193\) | 1.33031 | − | 3.65500i | 0.0957578 | − | 0.263093i | −0.882561 | − | 0.470199i | \(-0.844182\pi\) |
0.978318 | + | 0.207106i | \(0.0664045\pi\) | |||||||
\(194\) | 4.28785 | + | 11.2204i | 0.307850 | + | 0.805579i | ||||
\(195\) | 0.0829528 | − | 0.0146268i | 0.00594037 | − | 0.00104745i | ||||
\(196\) | 1.43536 | − | 9.99586i | 0.102526 | − | 0.713990i | ||||
\(197\) | 5.83464 | − | 10.1059i | 0.415701 | − | 0.720015i | −0.579801 | − | 0.814758i | \(-0.696870\pi\) |
0.995502 | + | 0.0947432i | \(0.0302030\pi\) | |||||||
\(198\) | 3.51568 | + | 1.95566i | 0.249849 | + | 0.138983i | ||||
\(199\) | −13.9328 | + | 16.6044i | −0.987668 | + | 1.17706i | −0.00346853 | + | 0.999994i | \(0.501104\pi\) |
−0.984200 | + | 0.177063i | \(0.943340\pi\) | |||||||
\(200\) | 11.2512 | + | 8.55790i | 0.795582 | + | 0.605135i | ||||
\(201\) | 4.99757 | + | 8.65605i | 0.352502 | + | 0.610551i | ||||
\(202\) | 14.9052 | − | 0.237851i | 1.04873 | − | 0.0167351i | ||||
\(203\) | 7.05354 | − | 2.56728i | 0.495062 | − | 0.180188i | ||||
\(204\) | 2.05614 | + | 0.674894i | 0.143959 | + | 0.0472520i | ||||
\(205\) | 0.320602 | + | 0.0565308i | 0.0223918 | + | 0.00394828i | ||||
\(206\) | 0.155238 | + | 0.805066i | 0.0108160 | + | 0.0560916i | ||||
\(207\) | −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 | −0.286326 | − | 0.958132i | \(-0.592434\pi\) |
0.893856 | + | 0.448354i | \(0.147990\pi\) | |||||||
\(212\) | 7.01443 | + | 7.83738i | 0.481753 | + | 0.538274i | ||||
\(213\) | 0.966590 | − | 5.48181i | 0.0662297 | − | 0.375607i | ||||
\(214\) | 0.902956 | − | 0.782557i | 0.0617248 | − | 0.0534945i | ||||
\(215\) | 0.00654518 | + | 0.0179827i | 0.000446377 | + | 0.00122641i | ||||
\(216\) | −6.09923 | + | 11.8387i | −0.415000 | + | 0.805519i | ||||
\(217\) | −7.42159 | + | 4.28485i | −0.503810 | + | 0.290875i | ||||
\(218\) | 11.3400 | + | 1.81349i | 0.768043 | + | 0.122825i | ||||
\(219\) | 4.52418 | + | 3.79624i | 0.305716 | + | 0.256526i | ||||
\(220\) | 0.00388002 | + | 0.121542i | 0.000261591 | + | 0.00819436i | ||||
\(221\) | 2.05169 | + | 1.18454i | 0.138011 | + | 0.0796810i | ||||
\(222\) | 3.58343 | − | 4.41165i | 0.240504 | − | 0.296091i | ||||
\(223\) | −0.353870 | − | 2.00689i | −0.0236969 | − | 0.134392i | 0.970664 | − | 0.240439i | \(-0.0772915\pi\) |
−0.994361 | + | 0.106048i | \(0.966180\pi\) | |||||||
\(224\) | 4.58014 | − | 6.43801i | 0.306024 | − | 0.430158i | ||||
\(225\) | −10.1953 | − | 3.71079i | −0.679688 | − | 0.247386i | ||||
\(226\) | −6.57586 | + | 19.0052i | −0.437420 | + | 1.26421i | ||||
\(227\) | −12.3915 | −0.822456 | −0.411228 | − | 0.911533i | \(-0.634900\pi\) | ||||
−0.411228 | + | 0.911533i | \(0.634900\pi\) | |||||||
\(228\) | 3.88875 | + | 6.92041i | 0.257539 | + | 0.458316i | ||||
\(229\) | 9.29197 | 0.614031 | 0.307015 | − | 0.951705i | \(-0.400670\pi\) | ||||
0.307015 | + | 0.951705i | \(0.400670\pi\) | |||||||
\(230\) | 0.183633 | − | 0.530727i | 0.0121084 | − | 0.0349951i | ||||
\(231\) | −1.56607 | − | 0.570002i | −0.103040 | − | 0.0375034i | ||||
\(232\) | −15.0788 | − | 1.92023i | −0.989971 | − | 0.126069i | ||||
\(233\) | 1.38093 | + | 7.83166i | 0.0904679 | + | 0.513069i | 0.996042 | + | 0.0888814i | \(0.0283292\pi\) |
−0.905574 | + | 0.424188i | \(0.860560\pi\) | |||||||
\(234\) | −3.85899 | + | 4.75089i | −0.252270 | + | 0.310576i | ||||
\(235\) | −0.335243 | − | 0.193553i | −0.0218689 | − | 0.0126260i | ||||
\(236\) | −23.4346 | + | 0.748109i | −1.52546 | + | 0.0486977i | ||||
\(237\) | 7.67356 | + | 6.43888i | 0.498451 | + | 0.418250i | ||||
\(238\) | 2.31775 | + | 0.370653i | 0.150237 | + | 0.0240259i | ||||
\(239\) | −18.1412 | + | 10.4738i | −1.17346 | + | 0.677496i | −0.954492 | − | 0.298236i | \(-0.903602\pi\) |
−0.218966 | + | 0.975732i | \(0.570268\pi\) | |||||||
\(240\) | −0.168656 | + | 0.0107791i | −0.0108867 | + | 0.000695786i | ||||
\(241\) | −3.23683 | − | 8.89311i | −0.208502 | − | 0.572856i | 0.790724 | − | 0.612172i | \(-0.209704\pi\) |
−0.999227 | + | 0.0393166i | \(0.987482\pi\) | |||||||
\(242\) | −9.92066 | + | 8.59785i | −0.637724 | + | 0.552691i | ||||
\(243\) | 2.80468 | − | 15.9061i | 0.179920 | − | 1.02038i | ||||
\(244\) | 18.2729 | − | 16.3542i | 1.16980 | − | 1.04697i | ||||
\(245\) | −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 | ||||
\(250\) | −0.124215 | − | 0.644180i | −0.00785607 | − | 0.0407415i | ||||
\(251\) | 5.25705 | + | 0.926959i | 0.331822 | + | 0.0585091i | 0.337077 | − | 0.941477i | \(-0.390562\pi\) |
−0.00525525 | + | 0.999986i | \(0.501673\pi\) | |||||||
\(252\) | −1.89118 | + | 5.76170i | −0.119133 | + | 0.362953i | ||||
\(253\) | −10.5387 | + | 3.83578i | −0.662563 | + | 0.241153i | ||||
\(254\) | 18.5268 | − | 0.295643i | 1.16248 | − | 0.0185503i | ||||
\(255\) | −0.0251029 | − | 0.0434796i | −0.00157201 | − | 0.00272280i | ||||
\(256\) | −14.2161 | + | 7.34181i | −0.888507 | + | 0.458863i | ||||
\(257\) | 8.86041 | − | 10.5594i | 0.552697 | − | 0.658679i | −0.415287 | − | 0.909691i | \(-0.636319\pi\) |
0.967984 | + | 0.251011i | \(0.0807632\pi\) | |||||||
\(258\) | 0.464134 | + | 0.258183i | 0.0288957 | + | 0.0160738i | ||||
\(259\) | 3.08230 | − | 5.33869i | 0.191525 | − | 0.331730i | ||||
\(260\) | −0.183132 | − | 0.0262969i | −0.0113574 | − | 0.00163086i | ||||
\(261\) | 11.4894 | − | 2.02590i | 0.711178 | − | 0.125400i | ||||
\(262\) | −0.685301 | − | 1.79329i | −0.0423380 | − | 0.110790i | ||||
\(263\) | 4.72312 | − | 12.9767i | 0.291240 | − | 0.800175i | −0.704646 | − | 0.709559i | \(-0.748894\pi\) |
0.995886 | − | 0.0906161i | \(-0.0288836\pi\) | |||||||
\(264\) | 2.29058 | + | 2.47857i | 0.140975 | + | 0.152545i | ||||
\(265\) | − | 0.244013i | − | 0.0149896i | ||||||
\(266\) | 5.35020 | + | 6.74581i | 0.328042 | + | 0.413612i | ||||
\(267\) | 12.5960i | 0.770862i | ||||||||
\(268\) | −4.50009 | − | 21.4874i | −0.274887 | − | 1.31255i | ||||
\(269\) | 0.0765103 | − | 0.210210i | 0.00466491 | − | 0.0128167i | −0.937338 | − | 0.348421i | \(-0.886718\pi\) |
0.942003 | + | 0.335604i | \(0.108940\pi\) | |||||||
\(270\) | 0.288606 | − | 0.110290i | 0.0175640 | − | 0.00671204i | ||||
\(271\) | −14.0034 | + | 2.46917i | −0.850644 | + | 0.149992i | −0.581941 | − | 0.813231i | \(-0.697706\pi\) |
−0.268704 | + | 0.963223i | \(0.586595\pi\) | |||||||
\(272\) | −3.82864 | − | 2.81685i | −0.232145 | − | 0.170797i | ||||
\(273\) | 1.26778 | − | 2.19585i | 0.0767294 | − | 0.132899i | ||||
\(274\) | 5.30261 | − | 9.53248i | 0.320343 | − | 0.575878i | ||||
\(275\) | −4.20974 | + | 5.01697i | −0.253857 | + | 0.302535i | ||||
\(276\) | −5.79540 | − | 14.4687i | −0.348842 | − | 0.870913i | ||||
\(277\) | −10.5953 | − | 18.3516i | −0.636609 | − | 1.10264i | −0.986172 | − | 0.165726i | \(-0.947003\pi\) |
0.349563 | − | 0.936913i | \(-0.386330\pi\) | |||||||
\(278\) | 0.385324 | + | 24.1468i | 0.0231102 | + | 1.44823i | ||||
\(279\) | −12.5163 | + | 4.55558i | −0.749334 | + | 0.272735i | ||||
\(280\) | −0.178786 | + | 0.0404312i | −0.0106845 | + | 0.00241623i | ||||
\(281\) | 7.25757 | + | 1.27971i | 0.432950 | + | 0.0763408i | 0.385876 | − | 0.922551i | \(-0.373899\pi\) |
0.0470741 | + | 0.998891i | \(0.485010\pi\) | |||||||
\(282\) | −10.5491 | + | 2.03416i | −0.628193 | + | 0.121133i | ||||
\(283\) | 15.7071 | + | 18.7190i | 0.933691 | + | 1.11273i | 0.993422 | + | 0.114515i | \(0.0365313\pi\) |
−0.0597309 | + | 0.998215i | \(0.519024\pi\) | |||||||
\(284\) | −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 | ||||
\(288\) | 8.74820 | − | 8.61821i | 0.515493 | − | 0.507833i | ||||
\(289\) | −2.70682 | + | 15.3511i | −0.159224 | + | 0.903007i | ||||
\(290\) | 0.230960 | + | 0.266494i | 0.0135624 | + | 0.0156491i | ||||
\(291\) | −2.64520 | − | 7.26762i | −0.155064 | − | 0.426036i | ||||
\(292\) | −6.84107 | − | 11.0213i | −0.400344 | − | 0.644973i | ||||
\(293\) | −11.5307 | + | 6.65724i | −0.673630 | + | 0.388920i | −0.797451 | − | 0.603384i | \(-0.793819\pi\) |
0.123821 | + | 0.992305i | \(0.460485\pi\) | |||||||
\(294\) | −1.02676 | + | 6.42047i | −0.0598818 | + | 0.374450i | ||||
\(295\) | 0.416693 | + | 0.349647i | 0.0242608 | + | 0.0203572i | ||||
\(296\) | −10.5001 | + | 6.75201i | −0.610307 | + | 0.392453i | ||||
\(297\) | −5.34332 | − | 3.08497i | −0.310051 | − | 0.179008i | ||||
\(298\) | −14.6859 | − | 11.9289i | −0.850733 | − | 0.691021i | ||||
\(299\) | −2.96292 | − | 16.8036i | −0.171350 | − | 0.971775i | ||||
\(300\) | −7.15549 | − | 5.62507i | −0.413122 | − | 0.324763i | ||||
\(301\) | 0.541314 | + | 0.197022i | 0.0312008 | + | 0.0113562i | ||||
\(302\) | 0.738345 | + | 0.255470i | 0.0424870 | + | 0.0147006i | ||||
\(303\) | −9.59824 | −0.551405 | ||||||||
\(304\) | −3.37499 | − | 17.1058i | −0.193569 | − | 0.981087i | ||||
\(305\) | −0.568919 | −0.0325762 | ||||||||
\(306\) | 3.44763 | + | 1.19289i | 0.197088 | + | 0.0681930i | ||||
\(307\) | 26.7916 | + | 9.75134i | 1.52908 | + | 0.556538i | 0.963395 | − | 0.268086i | \(-0.0863910\pi\) |
0.565681 | + | 0.824624i | \(0.308613\pi\) | |||||||
\(308\) | 2.87776 | + | 2.26226i | 0.163975 | + | 0.128904i | ||||
\(309\) | −0.0916701 | − | 0.519887i | −0.00521493 | − | 0.0295753i | ||||
\(310\) | −0.312509 | − | 0.253841i | −0.0177493 | − | 0.0144172i | ||||
\(311\) | 22.6396 | + | 13.0710i | 1.28377 | + | 0.741188i | 0.977536 | − | 0.210767i | \(-0.0675961\pi\) |
0.306239 | + | 0.951955i | \(0.400929\pi\) | |||||||
\(312\) | −4.31880 | + | 2.77716i | −0.244504 | + | 0.157226i | ||||
\(313\) | −2.72269 | − | 2.28461i | −0.153895 | − | 0.129134i | 0.562589 | − | 0.826737i | \(-0.309805\pi\) |
−0.716484 | + | 0.697603i | \(0.754250\pi\) | |||||||
\(314\) | −1.55216 | + | 9.70588i | −0.0875934 | + | 0.547735i | ||||
\(315\) | 0.121838 | − | 0.0703432i | 0.00686479 | − | 0.00396339i | ||||
\(316\) | −11.6033 | − | 18.6935i | −0.652736 | − | 1.05159i | ||||
\(317\) | 4.75523 | + | 13.0649i | 0.267080 | + | 0.733798i | 0.998646 | + | 0.0520261i | \(0.0165679\pi\) |
−0.731565 | + | 0.681771i | \(0.761210\pi\) | |||||||
\(318\) | −4.43530 | − | 5.11768i | −0.248719 | − | 0.286985i | ||||
\(319\) | 1.22290 | − | 6.93539i | 0.0684690 | − | 0.388307i | ||||
\(320\) | 0.359349 | + | 0.0930320i | 0.0200882 | + | 0.00520065i | ||||
\(321\) | −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 | ||||
\(326\) | 22.6378 | − | 4.36517i | 1.25379 | − | 0.241765i | ||||
\(327\) | −7.28194 | − | 1.28400i | −0.402692 | − | 0.0710055i | ||||
\(328\) | −19.3560 | + | 4.37722i | −1.06876 | + | 0.241692i | ||||
\(329\) | −10.9499 | + | 3.98543i | −0.603686 | + | 0.219724i | ||||
\(330\) | −0.00124927 | − | 0.0782872i | −6.87702e−5 | − | 0.00430957i | ||||
\(331\) | 3.55440 | + | 6.15641i | 0.195368 | + | 0.338387i | 0.947021 | − | 0.321172i | \(-0.104077\pi\) |
−0.751653 | + | 0.659558i | \(0.770743\pi\) | |||||||
\(332\) | −0.546102 | − | 1.36339i | −0.0299712 | − | 0.0748257i | ||||
\(333\) | 6.15882 | − | 7.33979i | 0.337501 | − | 0.402218i | ||||
\(334\) | −10.1661 | + | 18.2756i | −0.556267 | + | 0.999998i | ||||
\(335\) | −0.254659 | + | 0.441082i | −0.0139135 | + | 0.0240989i | ||||
\(336\) | −3.01478 | + | 4.09766i | −0.164470 | + | 0.223546i | ||||
\(337\) | −29.9028 | + | 5.27267i | −1.62891 | + | 0.287220i | −0.912075 | − | 0.410024i | \(-0.865520\pi\) |
−0.716833 | + | 0.697245i | \(0.754409\pi\) | |||||||
\(338\) | 11.9228 | − | 4.55625i | 0.648513 | − | 0.247827i | ||||
\(339\) | 4.42871 | − | 12.1678i | 0.240535 | − | 0.660863i | ||||
\(340\) | 0.0226041 | + | 0.107932i | 0.00122588 | + | 0.00585343i | ||||
\(341\) | 8.04014i | 0.435398i | ||||||||
\(342\) | 6.36864 | + | 11.7695i | 0.344376 | + | 0.636421i | ||||
\(343\) | 16.8293i | 0.908694i | ||||||||
\(344\) | −0.791742 | − | 0.856722i | −0.0426879 | − | 0.0461913i | ||||
\(345\) | −0.123673 | + | 0.339789i | −0.00665834 | + | 0.0182936i | ||||
\(346\) | −0.992289 | − | 2.59661i | −0.0533458 | − | 0.139595i | ||||
\(347\) | −0.491581 | + | 0.0866790i | −0.0263895 | + | 0.00465317i | −0.186827 | − | 0.982393i | \(-0.559820\pi\) |
0.160438 | + | 0.987046i | \(0.448709\pi\) | |||||||
\(348\) | 9.68783 | + | 1.39113i | 0.519322 | + | 0.0745723i | ||||
\(349\) | −1.36569 | + | 2.36545i | −0.0731040 | + | 0.126620i | −0.900260 | − | 0.435352i | \(-0.856624\pi\) |
0.827156 | + | 0.561972i | \(0.189957\pi\) | |||||||
\(350\) | −8.62706 | − | 4.79896i | −0.461136 | − | 0.256515i | ||||
\(351\) | 6.03388 | − | 7.19090i | 0.322065 | − | 0.383822i | ||||
\(352\) | −3.08239 | − | 6.74150i | −0.164292 | − | 0.359323i | ||||
\(353\) | 12.5409 | + | 21.7215i | 0.667484 | + | 1.15612i | 0.978605 | + | 0.205747i | \(0.0659623\pi\) |
−0.311121 | + | 0.950370i | \(0.600704\pi\) | |||||||
\(354\) | 15.0946 | − | 0.240873i | 0.802269 | − | 0.0128023i | ||||
\(355\) | 0.266537 | − | 0.0970116i | 0.0141463 | − | 0.00514884i | ||||
\(356\) | 8.62806 | − | 26.2864i | 0.457286 | − | 1.39318i | ||||
\(357\) | −1.48833 | − | 0.262433i | −0.0787708 | − | 0.0138894i | ||||
\(358\) | −6.14402 | − | 31.8628i | −0.324721 | − | 1.68400i | ||||
\(359\) | 5.00752 | + | 5.96773i | 0.264287 | + | 0.314965i | 0.881826 | − | 0.471576i | \(-0.156315\pi\) |
−0.617539 | + | 0.786540i | \(0.711870\pi\) | |||||||
\(360\) | −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 | ||||
\(364\) | −4.14983 | + | 3.71409i | −0.217510 | + | 0.194671i | ||||
\(365\) | −0.0522584 | + | 0.296372i | −0.00273533 | + | 0.0155128i | ||||
\(366\) | −11.9319 | + | 10.3409i | −0.623690 | + | 0.540529i | ||||
\(367\) | −2.87685 | − | 7.90408i | −0.150170 | − | 0.412590i | 0.841683 | − | 0.539971i | \(-0.181565\pi\) |
−0.991854 | + | 0.127382i | \(0.959343\pi\) | |||||||
\(368\) | 2.18349 | + | 34.1643i | 0.113823 | + | 1.78093i | ||||
\(369\) | 13.1906 | − | 7.61560i | 0.686676 | − | 0.396452i | ||||
\(370\) | 0.285984 | + | 0.0457345i | 0.0148676 | + | 0.00237762i | ||||
\(371\) | −5.62679 | − | 4.72144i | −0.292129 | − | 0.245125i | ||||
\(372\) | −11.1682 | + | 0.356524i | −0.579042 | + | 0.0184849i | ||||
\(373\) | 17.6598 | + | 10.1959i | 0.914391 | + | 0.527924i | 0.881841 | − | 0.471546i | \(-0.156304\pi\) |
0.0325499 | + | 0.999470i | \(0.489637\pi\) | |||||||
\(374\) | 1.38842 | − | 1.70932i | 0.0717935 | − | 0.0883867i | ||||
\(375\) | 0.0733505 | + | 0.415992i | 0.00378781 | + | 0.0214817i | ||||
\(376\) | 23.4082 | + | 2.98094i | 1.20719 | + | 0.153730i | ||||
\(377\) | 10.0682 | + | 3.66454i | 0.518541 | + | 0.188733i | ||||
\(378\) | 3.04105 | − | 8.78909i | 0.156415 | − | 0.452062i | ||||
\(379\) | 17.8645 | 0.917638 | 0.458819 | − | 0.888530i | \(-0.348273\pi\) | ||||
0.458819 | + | 0.888530i | \(0.348273\pi\) | |||||||
\(380\) | −0.206317 | + | 0.347929i | −0.0105838 | + | 0.0178484i | ||||
\(381\) | −11.9304 | −0.611212 | ||||||||
\(382\) | 3.55178 | − | 10.2652i | 0.181725 | − | 0.525212i | ||||
\(383\) | 11.4496 | + | 4.16732i | 0.585047 | + | 0.212940i | 0.617550 | − | 0.786532i | \(-0.288125\pi\) |
−0.0325023 | + | 0.999472i | \(0.510348\pi\) | |||||||
\(384\) | 9.22759 | − | 4.58053i | 0.470894 | − | 0.233749i | ||||
\(385\) | −0.0147467 | − | 0.0836327i | −0.000751561 | − | 0.00426231i | ||||
\(386\) | 3.46809 | − | 4.26964i | 0.176521 | − | 0.217319i | ||||
\(387\) | 0.775389 | + | 0.447671i | 0.0394152 | + | 0.0227564i | ||||
\(388\) | 0.542012 | + | 16.9786i | 0.0275165 | + | 0.861958i | ||||
\(389\) | 15.3327 | + | 12.8656i | 0.777398 | + | 0.652314i | 0.942592 | − | 0.333947i | \(-0.108381\pi\) |
−0.165194 | + | 0.986261i | \(0.552825\pi\) | |||||||
\(390\) | 0.117628 | + | 0.0188110i | 0.00595633 | + | 0.000952533i | ||||
\(391\) | −8.80756 | + | 5.08505i | −0.445418 | + | 0.257162i | ||||
\(392\) | 6.54065 | − | 12.6955i | 0.330353 | − | 0.641218i | ||||
\(393\) | 0.422766 | + | 1.16154i | 0.0213257 | + | 0.0585919i | ||||
\(394\) | 12.4711 | − | 10.8082i | 0.628283 | − | 0.544509i | ||||
\(395\) | −0.0886365 | + | 0.502683i | −0.00445979 | + | 0.0252927i | ||||
\(396\) | 3.79428 | + | 4.23943i | 0.190670 | + | 0.213039i | ||||
\(397\) | 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 | \(0.842147\pi\) | |||||||
\(402\) | 2.67636 | + | 13.8796i | 0.133485 | + | 0.692251i | ||||
\(403\) | −12.0466 | − | 2.12414i | −0.600083 | − | 0.105811i | ||||
\(404\) | 20.0304 | + | 6.57465i | 0.996551 | + | 0.327101i | ||||
\(405\) | 0.0970227 | − | 0.0353134i | 0.00482110 | − | 0.00175474i | ||||
\(406\) | 10.6141 | − | 0.169375i | 0.526767 | − | 0.00840592i | ||||
\(407\) | −2.89183 | − | 5.00879i | −0.143342 | − | 0.248276i | ||||
\(408\) | 2.43589 | + | 1.85279i | 0.120595 | + | 0.0917267i | ||||
\(409\) | 8.35432 | − | 9.95629i | 0.413094 | − | 0.492307i | −0.518872 | − | 0.854852i | \(-0.673648\pi\) |
0.931966 | + | 0.362545i | \(0.118092\pi\) | |||||||
\(410\) | 0.402336 | + | 0.223806i | 0.0198699 | + | 0.0110530i | ||||
\(411\) | −3.51169 | + | 6.08243i | −0.173219 | + | 0.300024i | ||||
\(412\) | −0.164810 | + | 1.14774i | −0.00811959 | + | 0.0565449i | ||||
\(413\) | 16.1253 | − | 2.84332i | 0.793472 | − | 0.139911i | ||||
\(414\) | −9.37942 | − | 24.5440i | −0.460973 | − | 1.20627i | ||||
\(415\) | −0.0116538 | + | 0.0320184i | −0.000572060 | + | 0.00157172i | ||||
\(416\) | 10.9151 | − | 2.83731i | 0.535159 | − | 0.139110i | ||||
\(417\) | − | 15.5494i | − | 0.761456i | ||||||
\(418\) | 7.99082 | − | 1.18261i | 0.390844 | − | 0.0578434i | ||||
\(419\) | − | 1.47508i | − | 0.0720624i | −0.999351 | − | 0.0360312i | \(-0.988528\pi\) | ||
0.999351 | − | 0.0360312i | \(-0.0114716\pi\) | |||||||
\(420\) | 0.115516 | − | 0.0241924i | 0.00563660 | − | 0.00118047i | ||||
\(421\) | 7.00572 | − | 19.2481i | 0.341438 | − | 0.938093i | −0.643540 | − | 0.765412i | \(-0.722535\pi\) |
0.984978 | − | 0.172680i | \(-0.0552428\pi\) | |||||||
\(422\) | 15.2185 | − | 5.81569i | 0.740823 | − | 0.283103i | ||||
\(423\) | −17.8361 | + | 3.14499i | −0.867221 | + | 0.152915i | ||||
\(424\) | 5.75042 | + | 13.7181i | 0.279265 | + | 0.666210i | ||||
\(425\) | −2.96948 | + | 5.14330i | −0.144041 | + | 0.249487i | ||||
\(426\) | 3.82674 | − | 6.87932i | 0.185406 | − | 0.333304i | ||||
\(427\) | −11.0081 | + | 13.1189i | −0.532718 | + | 0.634868i | ||||
\(428\) | 1.56865 | − | 0.628319i | 0.0758236 | − | 0.0303710i | ||||
\(429\) | −1.18943 | − | 2.06016i | −0.0574265 | − | 0.0994655i | ||||
\(430\) | 0.000431814 | 0.0270601i | 2.08239e−5 | 0.00130495i | ||||||
\(431\) | −15.5185 | + | 5.64828i | −0.747501 | + | 0.272068i | −0.687554 | − | 0.726134i | \(-0.741315\pi\) |
−0.0599469 | + | 0.998202i | \(0.519093\pi\) | |||||||
\(432\) | −13.6260 | + | 13.0016i | −0.655579 | + | 0.625542i | ||||
\(433\) | −29.9167 | − | 5.27512i | −1.43770 | − | 0.253506i | −0.600161 | − | 0.799879i | \(-0.704897\pi\) |
−0.837542 | + | 0.546373i | \(0.816008\pi\) | |||||||
\(434\) | −11.9002 | + | 2.29468i | −0.571227 | + | 0.110148i | ||||
\(435\) | −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 | −0.496085 | − | 0.868274i | \(-0.665230\pi\) |
0.768939 | + | 0.639323i | \(0.220785\pi\) | |||||||
\(440\) | −0.0510184 | + | 0.164232i | −0.00243221 | + | 0.00782945i | ||||
\(441\) | −1.90338 | + | 10.7946i | −0.0906370 | + | 0.514028i | ||||
\(442\) | 2.19427 | + | 2.53186i | 0.104371 | + | 0.120428i | ||||
\(443\) | −11.1704 | − | 30.6904i | −0.530721 | − | 1.45814i | −0.858215 | − | 0.513290i | \(-0.828426\pi\) |
0.327494 | − | 0.944853i | \(-0.393796\pi\) | |||||||
\(444\) | 6.82922 | − | 4.23899i | 0.324101 | − | 0.201174i | ||||
\(445\) | −0.555857 | + | 0.320924i | −0.0263501 | + | 0.0152133i | ||||
\(446\) | 0.455099 | − | 2.84580i | 0.0215496 | − | 0.134753i | ||||
\(447\) | 9.33208 | + | 7.83054i | 0.441392 | + | 0.370372i | ||||
\(448\) | 9.09834 | − | 6.48627i | 0.429856 | − | 0.306447i | ||||
\(449\) | −4.49778 | − | 2.59680i | −0.212264 | − | 0.122550i | 0.390099 | − | 0.920773i | \(-0.372441\pi\) |
−0.602363 | + | 0.798222i | \(0.705774\pi\) | |||||||
\(450\) | −11.9098 | − | 9.67395i | −0.561435 | − | 0.456034i | ||||
\(451\) | −1.59653 | − | 9.05436i | −0.0751776 | − | 0.426353i | ||||
\(452\) | −17.5769 | + | 22.3591i | −0.826750 | + | 1.05169i | ||||
\(453\) | −0.472714 | − | 0.172054i | −0.0222100 | − | 0.00808379i | ||||
\(454\) | −16.5610 | − | 5.73015i | −0.777246 | − | 0.268929i | ||||
\(455\) | 0.129203 | 0.00605713 | ||||||||
\(456\) | 1.99704 | + | 11.0472i | 0.0935201 | + | 0.517333i | ||||
\(457\) | −13.2130 | −0.618078 | −0.309039 | − | 0.951049i | \(-0.600007\pi\) | ||||
−0.309039 | + | 0.951049i | \(0.600007\pi\) | |||||||
\(458\) | 12.4185 | + | 4.29683i | 0.580278 | + | 0.200778i | ||||
\(459\) | −5.25763 | − | 1.91362i | −0.245405 | − | 0.0893202i | ||||
\(460\) | 0.490842 | − | 0.624386i | 0.0228856 | − | 0.0291122i | ||||
\(461\) | −4.56893 | − | 25.9117i | −0.212796 | − | 1.20683i | −0.884690 | − | 0.466180i | \(-0.845630\pi\) |
0.671894 | − | 0.740648i | \(-0.265481\pi\) | |||||||
\(462\) | −1.82943 | − | 1.48598i | −0.0851126 | − | 0.0691341i | ||||
\(463\) | −18.3103 | − | 10.5715i | −0.850954 | − | 0.491298i | 0.0100189 | − | 0.999950i | \(-0.496811\pi\) |
−0.860972 | + | 0.508652i | \(0.830144\pi\) | |||||||
\(464\) | −19.2645 | − | 9.53913i | −0.894330 | − | 0.442843i | ||||
\(465\) | 0.198582 | + | 0.166630i | 0.00920902 | + | 0.00772729i | ||||
\(466\) | −1.77597 | + | 11.1054i | −0.0822701 | + | 0.514447i | ||||
\(467\) | −27.4162 | + | 15.8287i | −1.26867 | + | 0.732467i | −0.974736 | − | 0.223359i | \(-0.928298\pi\) |
−0.293934 | + | 0.955826i | \(0.594964\pi\) | |||||||
\(468\) | −7.35437 | + | 4.56496i | −0.339956 | + | 0.211015i | ||||
\(469\) | 5.24365 | + | 14.4068i | 0.242129 | + | 0.665245i | ||||
\(470\) | −0.358541 | − | 0.413703i | −0.0165383 | − | 0.0190827i | ||||
\(471\) | 1.09897 | − | 6.23259i | 0.0506380 | − | 0.287182i | ||||
\(472\) | −31.6657 | − | 9.83690i | −1.45753 | − | 0.452780i | ||||
\(473\) | 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 | ||||
\(478\) | −29.0886 | + | 5.60908i | −1.33048 | + | 0.256553i | ||||
\(479\) | 13.3251 | + | 2.34958i | 0.608840 | + | 0.107355i | 0.469563 | − | 0.882899i | \(-0.344411\pi\) |
0.139276 | + | 0.990254i | \(0.455522\pi\) | |||||||
\(480\) | −0.230389 | − | 0.0635846i | −0.0105158 | − | 0.00290223i | ||||
\(481\) | 8.26868 | − | 3.00955i | 0.377019 | − | 0.137224i | ||||
\(482\) | −0.213547 | − | 13.3822i | −0.00972682 | − | 0.609543i | ||||
\(483\) | 5.44236 | + | 9.42644i | 0.247636 | + | 0.428918i | ||||
\(484\) | −17.2346 | + | 6.90326i | −0.783389 | + | 0.313785i | ||||
\(485\) | 0.253323 | − | 0.301898i | 0.0115028 | − | 0.0137085i | ||||
\(486\) | 11.1038 | − | 19.9612i | 0.503677 | − | 0.905459i | ||||
\(487\) | 6.49642 | − | 11.2521i | 0.294381 | − | 0.509883i | −0.680460 | − | 0.732786i | \(-0.738220\pi\) |
0.974841 | + | 0.222903i | \(0.0715532\pi\) | |||||||
\(488\) | 31.9839 | − | 13.4071i | 1.44784 | − | 0.606912i | ||||
\(489\) | −14.6188 | + | 2.57768i | −0.661084 | + | 0.116567i | ||||
\(490\) | −0.309493 | + | 0.118272i | −0.0139815 | + | 0.00534299i | ||||
\(491\) | −11.1325 | + | 30.5862i | −0.502401 | + | 1.38033i | 0.386523 | + | 0.922280i | \(0.373676\pi\) |
−0.888924 | + | 0.458055i | \(0.848546\pi\) | |||||||
\(492\) | 12.5062 | − | 2.61915i | 0.563821 | − | 0.118081i | ||||
\(493\) | − | 6.38620i | − | 0.287620i | ||||||
\(494\) | −0.339194 | + | 12.2851i | −0.0152611 | + | 0.552733i | ||||
\(495\) | − | 0.131993i | − | 0.00593263i | ||||||
\(496\) | 23.5509 | + | 6.90599i | 1.05746 | + | 0.310088i | ||||
\(497\) | 2.92023 | − | 8.02327i | 0.130990 | − | 0.359893i | ||||
\(498\) | 0.337568 | + | 0.883344i | 0.0151268 | + | 0.0395836i | ||||
\(499\) | 4.07989 | − | 0.719394i | 0.182641 | − | 0.0322045i | −0.0815796 | − | 0.996667i | \(-0.525996\pi\) |
0.264220 | + | 0.964462i | \(0.414885\pi\) | |||||||
\(500\) | 0.131874 | − | 0.918370i | 0.00589757 | − | 0.0410708i | ||||
\(501\) | 6.73260 | − | 11.6612i | 0.300790 | − | 0.520984i | ||||
\(502\) | 6.59726 | + | 3.66984i | 0.294450 | + | 0.163793i | ||||
\(503\) | 14.9435 | − | 17.8090i | 0.666298 | − | 0.794063i | −0.321977 | − | 0.946747i | \(-0.604347\pi\) |
0.988275 | + | 0.152685i | \(0.0487919\pi\) | |||||||
\(504\) | −5.19186 | + | 6.82584i | −0.231264 | + | 0.304047i | ||||
\(505\) | −0.244547 | − | 0.423567i | −0.0108822 | − | 0.0188485i | ||||
\(506\) | −15.8585 | + | 0.253063i | −0.704995 | + | 0.0112500i | ||||
\(507\) | −7.72254 | + | 2.81078i | −0.342970 | + | 0.124831i | ||||
\(508\) | 24.8973 | + | 8.17213i | 1.10464 | + | 0.362579i | ||||
\(509\) | 13.7146 | + | 2.41826i | 0.607891 | + | 0.107188i | 0.469116 | − | 0.883136i | \(-0.344573\pi\) |
0.138775 | + | 0.990324i | \(0.455684\pi\) | |||||||
\(510\) | −0.0134434 | − | 0.0697175i | −0.000595285 | − | 0.00308714i | ||||
\(511\) | 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 | ||||
\(516\) | 0.500913 | + | 0.559681i | 0.0220515 | + | 0.0246386i | ||||
\(517\) | −1.89841 | + | 10.7664i | −0.0834922 | + | 0.473508i | ||||
\(518\) | 6.58815 | − | 5.70970i | 0.289467 | − | 0.250870i | ||||
\(519\) | 0.612148 | + | 1.68186i | 0.0268703 | + | 0.0738256i | ||||
\(520\) | −0.232591 | − | 0.119830i | −0.0101998 | − | 0.00525488i | ||||
\(521\) | 14.7143 | − | 8.49530i | 0.644645 | − | 0.372186i | −0.141757 | − | 0.989902i | \(-0.545275\pi\) |
0.786402 | + | 0.617716i | \(0.211942\pi\) | |||||||
\(522\) | 16.2922 | + | 2.60543i | 0.713088 | + | 0.114037i | ||||
\(523\) | −2.73927 | − | 2.29852i | −0.119780 | − | 0.100507i | 0.580930 | − | 0.813953i | \(-0.302689\pi\) |
−0.700710 | + | 0.713446i | \(0.747133\pi\) | |||||||
\(524\) | −0.0866265 | − | 2.71359i | −0.00378430 | − | 0.118544i | ||||
\(525\) | 5.50470 | + | 3.17814i | 0.240245 | + | 0.138705i | ||||
\(526\) | 12.3131 | − | 15.1589i | 0.536875 | − | 0.660959i | ||||
\(527\) | 1.26607 | + | 7.18024i | 0.0551508 | + | 0.312776i | ||||
\(528\) | 1.91515 | + | 4.37176i | 0.0833461 | + | 0.190257i | ||||
\(529\) | 47.2174 | + | 17.1857i | 2.05293 | + | 0.747206i | ||||
\(530\) | 0.112838 | − | 0.326118i | 0.00490135 | − | 0.0141656i | ||||
\(531\) | 25.4496 | 1.10442 | ||||||||
\(532\) | 4.03098 | + | 11.4897i | 0.174765 | + | 0.498140i | ||||
\(533\) | 13.9880 | 0.605886 | ||||||||
\(534\) | −5.82469 | + | 16.8342i | −0.252059 | + | 0.728488i | ||||
\(535\) | −0.0368389 | − | 0.0134083i | −0.00159268 | − | 0.000579689i | ||||
\(536\) | 3.92205 | − | 30.7983i | 0.169407 | − | 1.33029i | ||||
\(537\) | 3.62811 | + | 20.5760i | 0.156565 | + | 0.887922i | ||||
\(538\) | 0.199460 | − | 0.245560i | 0.00859934 | − | 0.0105869i | ||||
\(539\) | 5.73004 | + | 3.30824i | 0.246810 | + | 0.142496i | ||||
\(540\) | 0.436715 | − | 0.0139414i | 0.0187932 | − | 0.000599941i | ||||
\(541\) | 15.2062 | + | 12.7595i | 0.653766 | + | 0.548575i | 0.908211 | − | 0.418513i | \(-0.137448\pi\) |
−0.254445 | + | 0.967087i | \(0.581893\pi\) | |||||||
\(542\) | −19.8570 | − | 3.17551i | −0.852929 | − | 0.136400i | ||||
\(543\) | 16.9427 | − | 9.78187i | 0.727081 | − | 0.419780i | ||||
\(544\) | −3.81429 | − | 5.53510i | −0.163537 | − | 0.237316i | ||||
\(545\) | −0.128869 | − | 0.354064i | −0.00552013 | − | 0.0151664i | ||||
\(546\) | 2.70977 | − | 2.34845i | 0.115967 | − | 0.100504i | ||||
\(547\) | −0.130482 | + | 0.740000i | −0.00557901 | + | 0.0316401i | −0.987470 | − | 0.157806i | \(-0.949558\pi\) |
0.981891 | + | 0.189446i | \(0.0606691\pi\) | |||||||
\(548\) | 11.4949 | − | 10.2879i | 0.491036 | − | 0.439476i | ||||
\(549\) | −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 | ||||
\(554\) | −5.67411 | − | 29.4259i | −0.241070 | − | 1.25019i | ||||
\(555\) | −0.183644 | − | 0.0323813i | −0.00779524 | − | 0.00137451i | ||||
\(556\) | −10.6511 | + | 32.4497i | −0.451706 | + | 1.37617i | ||||
\(557\) | −31.8977 | + | 11.6098i | −1.35155 | + | 0.491923i | −0.913430 | − | 0.406995i | \(-0.866577\pi\) |
−0.438117 | + | 0.898918i | \(0.644354\pi\) | |||||||
\(558\) | −18.8344 | + | 0.300551i | −0.797323 | + | 0.0127233i | ||||
\(559\) | 0.411130 | + | 0.712098i | 0.0173890 | + | 0.0301186i | ||||
\(560\) | −0.257640 | − | 0.0286399i | −0.0108873 | − | 0.00121026i | ||||
\(561\) | −0.911409 | + | 1.08617i | −0.0384797 | + | 0.0458583i | ||||
\(562\) | 9.10779 | + | 5.06637i | 0.384189 | + | 0.213712i | ||||
\(563\) | −16.1201 | + | 27.9209i | −0.679383 | + | 1.17673i | 0.295784 | + | 0.955255i | \(0.404419\pi\) |
−0.975167 | + | 0.221471i | \(0.928914\pi\) | |||||||
\(564\) | −15.0393 | − | 2.15958i | −0.633269 | − | 0.0909346i | ||||
\(565\) | 0.649796 | − | 0.114577i | 0.0273371 | − | 0.00482027i | ||||
\(566\) | 12.3360 | + | 32.2808i | 0.518522 | + | 1.35686i | ||||
\(567\) | 1.06300 | − | 2.92057i | 0.0446418 | − | 0.122652i | ||||
\(568\) | −12.6982 | + | 11.7351i | −0.532804 | + | 0.492393i | ||||
\(569\) | − | 17.8706i | − | 0.749175i | −0.927192 | − | 0.374587i | \(-0.877784\pi\) | ||
0.927192 | − | 0.374587i | \(-0.122216\pi\) | |||||||
\(570\) | 0.136399 | − | 0.221873i | 0.00571312 | − | 0.00929325i | ||||
\(571\) | − | 35.9863i | − | 1.50598i | −0.658032 | − | 0.752990i | \(-0.728611\pi\) | ||
0.658032 | − | 0.752990i | \(-0.271389\pi\) | |||||||
\(572\) | 1.07103 | + | 5.11406i | 0.0447822 | + | 0.213830i | ||||
\(573\) | −2.39205 | + | 6.57211i | −0.0999295 | + | 0.274554i | ||||
\(574\) | 12.9457 | − | 4.94715i | 0.540342 | − | 0.206490i | ||||
\(575\) | 42.1242 | − | 7.42763i | 1.75670 | − | 0.309754i | ||||
\(576\) | 15.6770 | − | 7.47263i | 0.653209 | − | 0.311360i | ||||
\(577\) | −7.40172 | + | 12.8202i | −0.308138 | + | 0.533710i | −0.977955 | − | 0.208816i | \(-0.933039\pi\) |
0.669817 | + | 0.742526i | \(0.266372\pi\) | |||||||
\(578\) | −10.7163 | + | 19.2647i | −0.445740 | + | 0.801305i | ||||
\(579\) | −2.27658 | + | 2.71312i | −0.0946113 | + | 0.112753i | ||||
\(580\) | 0.185439 | + | 0.462964i | 0.00769994 | + | 0.0192235i | ||||
\(581\) | 0.512835 | + | 0.888256i | 0.0212760 | + | 0.0368511i | ||||
\(582\) | −0.174515 | − | 10.9362i | −0.00723388 | − | 0.453320i | ||||
\(583\) | −6.47576 | + | 2.35698i | −0.268198 | + | 0.0976162i | ||||
\(584\) | −4.04640 | − | 17.8932i | −0.167441 | − | 0.740424i | ||||
\(585\) | 0.197765 | + | 0.0348713i | 0.00817658 | + | 0.00144175i | ||||
\(586\) | −18.4889 | + | 3.56517i | −0.763771 | + | 0.147276i | ||||
\(587\) | −12.8463 | − | 15.3096i | −0.530222 | − | 0.631894i | 0.432744 | − | 0.901517i | \(-0.357545\pi\) |
−0.962966 | + | 0.269623i | \(0.913101\pi\) | |||||||
\(588\) | −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 | ||||
\(592\) | −17.1554 | + | 4.16838i | −0.705084 | + | 0.171319i | ||||
\(593\) | −5.76362 | + | 32.6871i | −0.236683 | + | 1.34230i | 0.602356 | + | 0.798228i | \(0.294229\pi\) |
−0.839039 | + | 0.544071i | \(0.816882\pi\) | |||||||
\(594\) | −5.71465 | − | 6.59386i | −0.234475 | − | 0.270550i | ||||
\(595\) | −0.0263390 | − | 0.0723659i | −0.00107979 | − | 0.00296671i | ||||
\(596\) | −14.1112 | − | 22.7338i | −0.578016 | − | 0.931211i | ||||
\(597\) | 17.0928 | − | 9.86855i | 0.699563 | − | 0.403893i | ||||
\(598\) | 3.81051 | − | 23.8277i | 0.155823 | − | 0.974385i | ||||
\(599\) | 24.4486 | + | 20.5148i | 0.998941 | + | 0.838211i | 0.986837 | − | 0.161716i | \(-0.0517027\pi\) |
0.0121038 | + | 0.999927i | \(0.496147\pi\) | |||||||
\(600\) | −6.96196 | − | 10.8266i | −0.284221 | − | 0.441995i | ||||
\(601\) | −0.700958 | − | 0.404698i | −0.0285927 | − | 0.0165080i | 0.485636 | − | 0.874161i | \(-0.338588\pi\) |
−0.514228 | + | 0.857653i | \(0.671922\pi\) | |||||||
\(602\) | 0.632344 | + | 0.513632i | 0.0257724 | + | 0.0209341i | ||||
\(603\) | 4.13788 | + | 23.4671i | 0.168508 | + | 0.955654i | ||||
\(604\) | 0.868644 | + | 0.682857i | 0.0353446 | + | 0.0277851i | ||||
\(605\) | 0.404744 | + | 0.147315i | 0.0164552 | + | 0.00598919i | ||||
\(606\) | −12.8278 | − | 4.43846i | −0.521094 | − | 0.180300i | ||||
\(607\) | 37.1238 | 1.50681 | 0.753404 | − | 0.657558i | \(-0.228410\pi\) | ||||
0.753404 | + | 0.657558i | \(0.228410\pi\) | |||||||
\(608\) | 3.39957 | − | 24.4222i | 0.137871 | − | 0.990450i | ||||
\(609\) | −6.83495 | −0.276966 | ||||||||
\(610\) | −0.760345 | − | 0.263082i | −0.0307855 | − | 0.0106519i | ||||
\(611\) | −15.6299 | − | 5.68880i | −0.632316 | − | 0.230144i | ||||
\(612\) | 4.05605 | + | 3.18854i | 0.163956 | + | 0.128889i | ||||
\(613\) | −6.54618 | − | 37.1252i | −0.264398 | − | 1.49947i | −0.770745 | − | 0.637144i | \(-0.780116\pi\) |
0.506347 | − | 0.862330i | \(-0.330996\pi\) | |||||||
\(614\) | 31.2970 | + | 25.4215i | 1.26304 | + | 1.02593i | ||||
\(615\) | −0.256720 | − | 0.148217i | −0.0103519 | − | 0.00597669i | ||||
\(616\) | 2.79993 | + | 4.35420i | 0.112812 | + | 0.175436i | ||||
\(617\) | −24.7371 | − | 20.7569i | −0.995877 | − | 0.835640i | −0.00946884 | − | 0.999955i | \(-0.503014\pi\) |
−0.986408 | + | 0.164315i | \(0.947459\pi\) | |||||||
\(618\) | 0.117894 | − | 0.737206i | 0.00474237 | − | 0.0296548i | ||||
\(619\) | 36.7309 | − | 21.2066i | 1.47634 | − | 0.852365i | 0.476697 | − | 0.879068i | \(-0.341834\pi\) |
0.999643 | + | 0.0267023i | \(0.00850062\pi\) | |||||||
\(620\) | −0.300279 | − | 0.483763i | −0.0120595 | − | 0.0194284i | ||||
\(621\) | 13.7824 | + | 37.8669i | 0.553069 | + | 1.51954i | ||||
\(622\) | 24.2129 | + | 27.9382i | 0.970850 | + | 1.12022i | ||||
\(623\) | −3.35503 | + | 19.0273i | −0.134416 | + | 0.762313i | ||||
\(624\) | −7.05619 | + | 1.71449i | −0.282474 | + | 0.0686346i | ||||
\(625\) | 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 | ||||
\(630\) | 0.195362 | − | 0.0376711i | 0.00778340 | − | 0.00150085i | ||||
\(631\) | −20.4902 | − | 3.61298i | −0.815704 | − | 0.143831i | −0.249795 | − | 0.968299i | \(-0.580363\pi\) |
−0.565908 | + | 0.824468i | \(0.691474\pi\) | |||||||
\(632\) | −6.86319 | − | 30.3490i | −0.273003 | − | 1.20722i | ||||
\(633\) | −9.85721 | + | 3.58773i | −0.391789 | + | 0.142599i | ||||
\(634\) | 0.313723 | + | 19.6598i | 0.0124595 | + | 0.780792i | ||||
\(635\) | −0.303965 | − | 0.526483i | −0.0120625 | − | 0.0208929i | ||||
\(636\) | −3.56112 | − | 8.89063i | −0.141208 | − | 0.352536i | ||||
\(637\) | −6.47057 | + | 7.71133i | −0.256373 | + | 0.305534i | ||||
\(638\) | 4.84146 | − | 8.70347i | 0.191675 | − | 0.344574i | ||||
\(639\) | 6.63531 | − | 11.4927i | 0.262489 | − | 0.454644i | ||||
\(640\) | 0.437240 | + | 0.290506i | 0.0172834 | + | 0.0114833i | ||||
\(641\) | −25.6534 | + | 4.52338i | −1.01325 | + | 0.178663i | −0.655531 | − | 0.755168i | \(-0.727555\pi\) |
−0.357715 | + | 0.933831i | \(0.616444\pi\) | |||||||
\(642\) | −1.01633 | + | 0.388389i | −0.0401115 | + | 0.0153285i | ||||
\(643\) | −9.65370 | + | 26.5233i | −0.380705 | + | 1.04598i | 0.590355 | + | 0.807144i | \(0.298988\pi\) |
−0.971060 | + | 0.238835i | \(0.923235\pi\) | |||||||
\(644\) | −4.90060 | − | 23.3998i | −0.193111 | − | 0.922082i | ||||
\(645\) | − | 0.0174254i | − | 0.000686125i | ||||||
\(646\) | 6.94997 | − | 2.31443i | 0.273443 | − | 0.0910601i | ||||
\(647\) | − | 31.9737i | − | 1.25702i | −0.777803 | − | 0.628508i | \(-0.783666\pi\) | ||
0.777803 | − | 0.628508i | \(-0.216334\pi\) | |||||||
\(648\) | −4.62229 | + | 4.27171i | −0.181581 | + | 0.167809i | ||||
\(649\) | 5.25418 | − | 14.4357i | 0.206245 | − | 0.566652i | ||||
\(650\) | −5.03017 | − | 13.1629i | −0.197299 | − | 0.516291i | ||||
\(651\) | 7.68477 | − | 1.35503i | 0.301190 | − | 0.0531079i | ||||
\(652\) | 32.2733 | + | 4.63430i | 1.26392 | + | 0.181493i | ||||
\(653\) | 8.32093 | − | 14.4123i | 0.325623 | − | 0.563996i | −0.656015 | − | 0.754748i | \(-0.727759\pi\) |
0.981638 | + | 0.190752i | \(0.0610926\pi\) | |||||||
\(654\) | −9.13838 | − | 5.08338i | −0.357339 | − | 0.198776i | ||||
\(655\) | −0.0404870 | + | 0.0482505i | −0.00158196 | + | 0.00188530i | ||||
\(656\) | −27.8930 | − | 3.10066i | −1.08904 | − | 0.121060i | ||||
\(657\) | 7.04003 | + | 12.1937i | 0.274658 | + | 0.475721i | ||||
\(658\) | −16.4772 | + | 0.262936i | −0.642347 | + | 0.0102503i | ||||
\(659\) | 4.28405 | − | 1.55927i | 0.166883 | − | 0.0607404i | −0.257228 | − | 0.966351i | \(-0.582809\pi\) |
0.424111 | + | 0.905610i | \(0.360587\pi\) | |||||||
\(660\) | 0.0345323 | − | 0.105207i | 0.00134417 | − | 0.00409516i | ||||
\(661\) | −22.6492 | − | 3.99366i | −0.880951 | − | 0.155335i | −0.285165 | − | 0.958479i | \(-0.592048\pi\) |
−0.595786 | + | 0.803143i | \(0.703159\pi\) | |||||||
\(662\) | 1.90350 | + | 9.87153i | 0.0739816 | + | 0.383668i | ||||
\(663\) | −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 | ||||
\(668\) | −22.0379 | + | 19.7238i | −0.852672 | + | 0.763139i | ||||
\(669\) | −0.322223 | + | 1.82742i | −0.0124579 | + | 0.0706521i | ||||
\(670\) | −0.544312 | + | 0.471735i | −0.0210286 | + | 0.0182247i | ||||
\(671\) | 5.49532 | + | 15.0983i | 0.212145 | + | 0.582862i | ||||
\(672\) | −5.92404 | + | 4.08231i | −0.228525 | + | 0.157479i | ||||
\(673\) | 23.9900 | − | 13.8506i | 0.924745 | − | 0.533902i | 0.0395995 | − | 0.999216i | \(-0.487392\pi\) |
0.885146 | + | 0.465314i | \(0.154058\pi\) | |||||||
\(674\) | −42.4025 | − | 6.78098i | −1.63328 | − | 0.261194i | ||||
\(675\) | 18.0266 | + | 15.1261i | 0.693843 | + | 0.582204i | ||||
\(676\) | 18.0414 | − | 0.575940i | 0.693900 | − | 0.0221515i | ||||
\(677\) | 3.28430 | + | 1.89619i | 0.126226 | + | 0.0728765i | 0.561783 | − | 0.827284i | \(-0.310115\pi\) |
−0.435558 | + | 0.900161i | \(0.643449\pi\) | |||||||
\(678\) | 11.5455 | − | 14.2140i | 0.443404 | − | 0.545885i | ||||
\(679\) | −2.06001 | − | 11.6829i | −0.0790561 | − | 0.448349i | ||||
\(680\) | −0.0197006 | + | 0.154701i | −0.000755482 | + | 0.00593251i | ||||
\(681\) | 10.6029 | + | 3.85914i | 0.406304 | + | 0.147883i | ||||
\(682\) | −3.71796 | + | 10.7454i | −0.142368 | + | 0.411464i | ||||
\(683\) | −34.1213 | −1.30561 | −0.652807 | − | 0.757524i | \(-0.726409\pi\) | ||||
−0.652807 | + | 0.757524i | \(0.726409\pi\) | |||||||
\(684\) | 3.06903 | + | 18.6746i | 0.117347 | + | 0.714042i | ||||
\(685\) | −0.357887 | −0.0136742 | ||||||||
\(686\) | −7.78225 | + | 22.4919i | −0.297128 | + | 0.858743i | ||||
\(687\) | −7.95073 | − | 2.89383i | −0.303339 | − | 0.110406i | ||||
\(688\) | −0.661974 | − | 1.51111i | −0.0252375 | − | 0.0576104i | ||||
\(689\) | −1.82064 | − | 10.3253i | −0.0693607 | − | 0.393364i | ||||
\(690\) | −0.322413 | + | 0.396930i | −0.0122740 | + | 0.0151109i | ||||
\(691\) | −28.6806 | − | 16.5587i | −1.09106 | − | 0.629924i | −0.157202 | − | 0.987566i | \(-0.550247\pi\) |
−0.933859 | + | 0.357642i | \(0.883581\pi\) | |||||||
\(692\) | −0.125432 | − | 3.92917i | −0.00476820 | − | 0.149365i | ||||
\(693\) | −3.04367 | − | 2.55394i | −0.115619 | − | 0.0970162i | ||||
\(694\) | −0.697068 | − | 0.111475i | −0.0264603 | − | 0.00423152i | ||||
\(695\) | 0.686188 | − | 0.396171i | 0.0260286 | − | 0.0150276i | ||||
\(696\) | 12.3042 | + | 6.33909i | 0.466391 | + | 0.240283i | ||||
\(697\) | −2.85155 | − | 7.83458i | −0.108010 | − | 0.296756i | ||||
\(698\) | −2.91906 | + | 2.52984i | −0.110488 | + | 0.0957557i | ||||
\(699\) | 1.25744 | − | 7.13128i | 0.0475606 | − | 0.269730i | ||||
\(700\) | −9.31069 | − | 10.4030i | −0.351911 | − | 0.393198i | ||||
\(701\) | 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 | ||||
\(706\) | 6.71605 | + | 34.8294i | 0.252762 | + | 1.31082i | ||||
\(707\) | −14.4990 | − | 2.55656i | −0.545289 | − | 0.0961492i | ||||
\(708\) | 20.2849 | + | 6.65819i | 0.762355 | + | 0.250230i | ||||
\(709\) | −19.0347 | + | 6.92805i | −0.714862 | + | 0.260188i | −0.673743 | − | 0.738966i | \(-0.735314\pi\) |
−0.0411190 | + | 0.999154i | \(0.513092\pi\) | |||||||
\(710\) | 0.401081 | − | 0.00640027i | 0.0150523 | − | 0.000240198i | ||||
\(711\) | 11.9407 | + | 20.6820i | 0.447813 | + | 0.775635i | ||||
\(712\) | 23.6866 | − | 31.1412i | 0.887694 | − | 1.16707i | ||||
\(713\) | 33.7539 | − | 40.2263i | 1.26409 | − | 1.50649i | ||||
\(714\) | −1.86776 | − | 1.03898i | −0.0698992 | − | 0.0388827i | ||||
\(715\) | 0.0606095 | − | 0.104979i | 0.00226667 | − | 0.00392598i | ||||
\(716\) | 6.52282 | − | 45.4250i | 0.243769 | − | 1.69761i | ||||
\(717\) | 18.7846 | − | 3.31222i | 0.701522 | − | 0.123697i | ||||
\(718\) | 3.93280 | + | 10.2913i | 0.146771 | + | 0.384069i | ||||
\(719\) | −9.88743 | + | 27.1655i | −0.368739 | + | 1.01310i | 0.607103 | + | 0.794623i | \(0.292332\pi\) |
−0.975842 | + | 0.218479i | \(0.929891\pi\) | |||||||
\(720\) | −0.386628 | − | 0.113374i | −0.0144088 | − | 0.00422519i | ||||
\(721\) | − | 0.809749i | − | 0.0301566i | ||||||
\(722\) | 24.5322 | + | 10.9622i | 0.912996 | + | 0.407969i | ||||
\(723\) | 8.61750i | 0.320488i | ||||||||
\(724\) | −42.0579 | + | 8.80814i | −1.56307 | + | 0.327352i | ||||
\(725\) | −9.18649 | + | 25.2397i | −0.341178 | + | 0.937378i | ||||
\(726\) | 11.1663 | − | 4.26718i | 0.414421 | − | 0.158370i | ||||
\(727\) | 12.6244 | − | 2.22602i | 0.468212 | − | 0.0825584i | 0.0654356 | − | 0.997857i | \(-0.479156\pi\) |
0.402776 | + | 0.915298i | \(0.368045\pi\) | |||||||
\(728\) | −7.26362 | + | 3.04480i | −0.269208 | + | 0.112848i | ||||
\(729\) | −4.01571 | + | 6.95541i | −0.148730 | + | 0.257608i | ||||
\(730\) | −0.206892 | + | 0.371928i | −0.00765740 | + | 0.0137657i | ||||
\(731\) | 0.315030 | − | 0.375438i | 0.0116518 | − | 0.0138861i | ||||
\(732\) | −20.7286 | + | 8.30278i | −0.766150 | + | 0.306879i | ||||
\(733\) | −25.7324 | − | 44.5699i | −0.950450 | − | 1.64623i | −0.744453 | − | 0.667674i | \(-0.767290\pi\) |
−0.205996 | − | 0.978553i | \(-0.566044\pi\) | |||||||
\(734\) | −0.189798 | − | 11.8939i | −0.00700558 | − | 0.439013i | ||||
\(735\) | 0.200463 | − | 0.0729627i | 0.00739420 | − | 0.00269127i | ||||
\(736\) | −12.8802 | + | 46.6693i | −0.474770 | + | 1.72026i | ||||
\(737\) | 14.1655 | + | 2.49776i | 0.521792 | + | 0.0920061i | ||||
\(738\) | 21.1505 | − | 4.07840i | 0.778562 | − | 0.150128i | ||||
\(739\) | −3.33185 | − | 3.97074i | −0.122564 | − | 0.146066i | 0.701273 | − | 0.712893i | \(-0.252615\pi\) |
−0.823837 | + | 0.566827i | \(0.808171\pi\) | |||||||
\(740\) | 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 | −0.836554 | − | 0.547885i | \(-0.815433\pi\) |
0.394295 | + | 0.918984i | \(0.370989\pi\) | |||||||
\(744\) | −15.0908 | − | 4.68794i | −0.553256 | − | 0.171868i | ||||
\(745\) | −0.107794 | + | 0.611330i | −0.00394927 | + | 0.0223974i | ||||
\(746\) | 18.8871 | + | 21.7929i | 0.691505 | + | 0.797895i | ||||
\(747\) | 0.545236 | + | 1.49802i | 0.0199492 | + | 0.0548098i | ||||
\(748\) | 2.64602 | − | 1.64242i | 0.0967480 | − | 0.0600528i | ||||
\(749\) | −1.02199 | + | 0.590044i | −0.0373425 | + | 0.0215597i | ||||
\(750\) | −0.0943335 | + | 0.589881i | −0.00344457 | + | 0.0215394i | ||||
\(751\) | −37.8228 | − | 31.7371i | −1.38017 | − | 1.15810i | −0.969148 | − | 0.246479i | \(-0.920726\pi\) |
−0.411026 | − | 0.911624i | \(-0.634829\pi\) | |||||||
\(752\) | 29.9060 | + | 14.8085i | 1.09056 | + | 0.540010i | ||||
\(753\) | −4.20954 | − | 2.43038i | −0.153404 | − | 0.0885679i | ||||
\(754\) | 11.7614 | + | 9.55336i | 0.428324 | + | 0.347913i | ||||
\(755\) | −0.00445125 | − | 0.0252443i | −0.000161998 | − | 0.000918734i | ||||
\(756\) | 8.12857 | − | 10.3401i | 0.295633 | − | 0.376067i | ||||
\(757\) | 45.1863 | + | 16.4465i | 1.64232 | + | 0.597757i | 0.987443 | − | 0.157975i | \(-0.0504965\pi\) |
0.654881 | + | 0.755732i | \(0.272719\pi\) | |||||||
\(758\) | 23.8755 | + | 8.26098i | 0.867196 | + | 0.300052i | ||||
\(759\) | 10.2121 | 0.370676 | ||||||||
\(760\) | −0.436628 | + | 0.369592i | −0.0158382 | + | 0.0134065i | ||||
\(761\) | −48.4854 | −1.75759 | −0.878797 | − | 0.477196i | \(-0.841653\pi\) | ||||
−0.878797 | + | 0.477196i | \(0.841653\pi\) | |||||||
\(762\) | −15.9446 | − | 5.51690i | −0.577614 | − | 0.199856i | ||||
\(763\) | −10.6580 | − | 3.87919i | −0.385845 | − | 0.140436i | ||||
\(764\) | 9.49373 | − | 12.0767i | 0.343471 | − | 0.436920i | ||||
\(765\) | −0.0207847 | − | 0.117876i | −0.000751472 | − | 0.00426181i | ||||
\(766\) | 13.3750 | + | 10.8641i | 0.483260 | + | 0.392535i | ||||
\(767\) | 20.2410 | + | 11.6862i | 0.730860 | + | 0.421962i | ||||
\(768\) | 14.4506 | − | 1.85470i | 0.521441 | − | 0.0669256i | ||||
\(769\) | 3.06662 | + | 2.57320i | 0.110585 | + | 0.0927919i | 0.696404 | − | 0.717650i | \(-0.254782\pi\) |
−0.585818 | + | 0.810442i | \(0.699227\pi\) | |||||||
\(770\) | 0.0189652 | − | 0.118592i | 0.000683458 | − | 0.00427376i | ||||
\(771\) | −10.8700 | + | 6.27581i | −0.391474 | + | 0.226018i | ||||
\(772\) | 6.60939 | − | 4.10254i | 0.237877 | − | 0.147654i | ||||
\(773\) | 8.87283 | + | 24.3779i | 0.319133 | + | 0.876812i | 0.990724 | + | 0.135889i | \(0.0433892\pi\) |
−0.671591 | + | 0.740922i | \(0.734389\pi\) | |||||||
\(774\) | 0.829273 | + | 0.956859i | 0.0298076 | + | 0.0343936i | ||||
\(775\) | 5.32491 | − | 30.1991i | 0.191277 | − | 1.08478i | ||||
\(776\) | −7.12693 | + | 22.9421i | −0.255842 | + | 0.823574i | ||||
\(777\) | −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 | ||||
\(782\) | −14.1225 | + | 2.72321i | −0.505021 | + | 0.0973817i | ||||
\(783\) | −24.9197 | − | 4.39401i | −0.890557 | − | 0.157029i | ||||
\(784\) | 14.6121 | − | 13.9426i | 0.521861 | − | 0.497951i | ||||
\(785\) | 0.303042 | − | 0.110298i | 0.0108160 | − | 0.00393671i | ||||
\(786\) | 0.0278917 | + | 1.74787i | 0.000994863 | + | 0.0623443i | ||||
\(787\) | 7.04209 | + | 12.1973i | 0.251023 | + | 0.434785i | 0.963808 | − | 0.266598i | \(-0.0858996\pi\) |
−0.712785 | + | 0.701383i | \(0.752566\pi\) | |||||||
\(788\) | 21.6652 | − | 8.67795i | 0.771791 | − | 0.309139i | ||||
\(789\) | −8.08273 | + | 9.63262i | −0.287753 | + | 0.342930i | ||||
\(790\) | −0.350913 | + | 0.630835i | −0.0124849 | + | 0.0224441i | ||||
\(791\) | 9.93091 | − | 17.2008i | 0.353102 | − | 0.611591i | ||||
\(792\) | 3.11054 | + | 7.42045i | 0.110528 | + | 0.263674i | ||||
\(793\) | −24.0736 | + | 4.24483i | −0.854879 | + | 0.150738i | ||||
\(794\) | 6.04055 | − | 2.30838i | 0.214371 | − | 0.0819213i | ||||
\(795\) | −0.0759939 | + | 0.208791i | −0.00269522 | + | 0.00740507i | ||||
\(796\) | −42.4306 | + | 8.88620i | −1.50391 | + | 0.314963i | ||||
\(797\) | − | 42.2792i | − | 1.49761i | −0.662792 | − | 0.748804i | \(-0.730629\pi\) | ||
0.662792 | − | 0.748804i | \(-0.269371\pi\) | |||||||
\(798\) | −2.47706 | − | 7.43832i | −0.0876870 | − | 0.263314i | ||||
\(799\) | 9.91390i | 0.350728i | ||||||||
\(800\) | 7.11274 | + | 27.3628i | 0.251473 | + | 0.967419i | ||||
\(801\) | −10.2708 | + | 28.2187i | −0.362900 | + | 0.997059i | ||||
\(802\) | −4.06079 | − | 10.6262i | −0.143392 | − | 0.375226i | ||||
\(803\) | 8.37006 | − | 1.47587i | 0.295373 | − | 0.0520822i | ||||
\(804\) | −2.84137 | + | 19.7873i | −0.100207 | + | 0.697845i | ||||
\(805\) | −0.277324 | + | 0.480339i | −0.00977438 | + | 0.0169297i | ||||
\(806\) | −15.1177 | − | 8.40948i | −0.532498 | − | 0.296211i | ||||
\(807\) | −0.130933 | + | 0.156040i | −0.00460906 | + | 0.00549286i | ||||
\(808\) | 23.7299 | + | 18.0494i | 0.834814 | + | 0.634976i | ||||
\(809\) | 21.3717 | + | 37.0168i | 0.751388 | + | 1.30144i | 0.947150 | + | 0.320791i | \(0.103949\pi\) |
−0.195762 | + | 0.980651i | \(0.562718\pi\) | |||||||
\(810\) | 0.145998 | − | 0.00232978i | 0.00512985 | − | 8.18600e-5i | ||||
\(811\) | −19.8838 | + | 7.23710i | −0.698213 | + | 0.254129i | −0.666648 | − | 0.745373i | \(-0.732272\pi\) |
−0.0315655 | + | 0.999502i | \(0.510049\pi\) | |||||||
\(812\) | 14.2637 | + | 4.68183i | 0.500559 | + | 0.164300i | ||||
\(813\) | 12.7511 | + | 2.24836i | 0.447199 | + | 0.0788533i | ||||
\(814\) | −1.54867 | − | 8.03137i | −0.0542807 | − | 0.281499i | ||||
\(815\) | −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 | ||||
\(820\) | 0.434218 | + | 0.485161i | 0.0151635 | + | 0.0169426i | ||||
\(821\) | 3.63805 | − | 20.6324i | 0.126969 | − | 0.720076i | −0.853150 | − | 0.521666i | \(-0.825311\pi\) |
0.980119 | − | 0.198411i | \(-0.0635780\pi\) | |||||||
\(822\) | −7.50595 | + | 6.50512i | −0.261800 | + | 0.226892i | ||||
\(823\) | −6.64061 | − | 18.2449i | −0.231477 | − | 0.635978i | 0.768516 | − | 0.639831i | \(-0.220996\pi\) |
−0.999993 | + | 0.00385332i | \(0.998773\pi\) | |||||||
\(824\) | −0.751005 | + | 1.45771i | −0.0261625 | + | 0.0507816i | ||||
\(825\) | 5.16454 | − | 2.98175i | 0.179806 | − | 0.103811i | ||||
\(826\) | 22.8658 | + | 3.65669i | 0.795604 | + | 0.127233i | ||||
\(827\) | −11.1754 | − | 9.37729i | −0.388608 | − | 0.326080i | 0.427463 | − | 0.904033i | \(-0.359407\pi\) |
−0.816070 | + | 0.577952i | \(0.803852\pi\) | |||||||
\(828\) | −1.18562 | − | 37.1397i | −0.0412031 | − | 1.29069i | ||||
\(829\) | 8.11069 | + | 4.68271i | 0.281696 | + | 0.162637i | 0.634191 | − | 0.773177i | \(-0.281333\pi\) |
−0.352495 | + | 0.935814i | \(0.614667\pi\) | |||||||
\(830\) | −0.0303810 | + | 0.0374028i | −0.00105454 | + | 0.00129827i | ||||
\(831\) | 3.35063 | + | 19.0023i | 0.116232 | + | 0.659184i | ||||
\(832\) | 15.8999 | + | 1.25544i | 0.551228 | + | 0.0435245i | ||||
\(833\) | 5.63814 | + | 2.05212i | 0.195350 | + | 0.0711016i | ||||
\(834\) | 7.19040 | − | 20.7813i | 0.248983 | − | 0.719599i | ||||
\(835\) | 0.686140 | 0.0237448 | ||||||||
\(836\) | 11.2264 | + | 2.11462i | 0.388273 | + | 0.0731356i | ||||
\(837\) | 28.8892 | 0.998557 | ||||||||
\(838\) | 0.682113 | − | 1.97141i | 0.0235632 | − | 0.0681012i | ||||
\(839\) | −10.1232 | − | 3.68454i | −0.349492 | − | 0.127205i | 0.161309 | − | 0.986904i | \(-0.448429\pi\) |
−0.510800 | + | 0.859699i | \(0.670651\pi\) | |||||||
\(840\) | 0.165571 | + | 0.0210849i | 0.00571275 | + | 0.000727497i | ||||
\(841\) | 0.0204617 | + | 0.116044i | 0.000705577 | + | 0.00400153i | ||||
\(842\) | 18.2637 | − | 22.4849i | 0.629410 | − | 0.774882i | ||||
\(843\) | −5.81144 | − | 3.35524i | −0.200157 | − | 0.115560i | ||||
\(844\) | 23.0284 | − | 0.735141i | 0.792670 | − | 0.0253046i | ||||
\(845\) | −0.320796 | − | 0.269179i | −0.0110357 | − | 0.00926005i | ||||
\(846\) | −25.2918 | − | 4.04465i | −0.869551 | − | 0.139058i | ||||
\(847\) | 11.2284 | − | 6.48273i | 0.385813 | − | 0.222749i | ||||
\(848\) | 1.34170 | + | 20.9930i | 0.0460741 | + | 0.720904i | ||||
\(849\) | −7.61016 | − | 20.9087i | −0.261180 | − | 0.717586i | ||||
\(850\) | −6.34702 | + | 5.50072i | −0.217701 | + | 0.188673i | ||||
\(851\) | −6.55941 | + | 37.2003i | −0.224854 | + | 1.27521i | ||||
\(852\) | 8.29551 | − | 7.42445i | 0.284199 | − | 0.254358i | ||||
\(853\) | −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 | \(0.560693\pi\) | |||||||
\(858\) | −0.636981 | − | 3.30338i | −0.0217462 | − | 0.112775i | ||||
\(859\) | 23.0371 | + | 4.06206i | 0.786015 | + | 0.138596i | 0.552229 | − | 0.833693i | \(-0.313777\pi\) |
0.233786 | + | 0.972288i | \(0.424889\pi\) | |||||||
\(860\) | −0.0119361 | + | 0.0363648i | −0.000407019 | + | 0.00124003i | ||||
\(861\) | −8.38509 | + | 3.05192i | −0.285763 | + | 0.104009i | ||||
\(862\) | −23.3520 | + | 0.372641i | −0.795372 | + | 0.0126922i | ||||
\(863\) | 16.2551 | + | 28.1546i | 0.553329 | + | 0.958394i | 0.998031 | + | 0.0627154i | \(0.0199760\pi\) |
−0.444703 | + | 0.895678i | \(0.646691\pi\) | |||||||
\(864\) | −24.2230 | + | 11.0754i | −0.824084 | + | 0.376793i | ||||
\(865\) | −0.0586236 | + | 0.0698649i | −0.00199326 | + | 0.00237548i | ||||
\(866\) | −37.5435 | − | 20.8842i | −1.27578 | − | 0.709676i | ||||
\(867\) | 7.09695 | − | 12.2923i | 0.241025 | − | 0.417468i | ||||
\(868\) | −16.9654 | − | 2.43615i | −0.575843 | − | 0.0826885i | ||||
\(869\) | 14.1966 | − | 2.50325i | 0.481588 | − | 0.0849169i | ||||
\(870\) | −0.114627 | − | 0.299956i | −0.00388623 | − | 0.0101695i | ||||
\(871\) | −7.48480 | + | 20.5643i | −0.253613 | + | 0.696795i | ||||
\(872\) | 15.5887 | + | 16.8681i | 0.527900 | + | 0.571225i | ||||
\(873\) | − | 18.4385i | − | 0.624048i | ||||||
\(874\) | −44.9444 | − | 27.6300i | −1.52027 | − | 0.934599i | ||||
\(875\) | 0.647928i | 0.0219039i | ||||||||
\(876\) | 2.42121 | + | 11.5610i | 0.0818050 | + | 0.390609i | ||||
\(877\) | 13.6046 | − | 37.3782i | 0.459393 | − | 1.26217i | −0.466545 | − | 0.884497i | \(-0.654501\pi\) |
0.925938 | − | 0.377675i | \(-0.123276\pi\) | |||||||
\(878\) | 9.85879 | − | 3.76751i | 0.332718 | − | 0.127147i | ||||
\(879\) | 11.9396 | − | 2.10527i | 0.402712 | − | 0.0710090i | ||||
\(880\) | −0.144130 | + | 0.195900i | −0.00485861 | + | 0.00660378i | ||||
\(881\) | −0.220653 | + | 0.382182i | −0.00743398 | + | 0.0128760i | −0.869718 | − | 0.493548i | \(-0.835700\pi\) |
0.862284 | + | 0.506424i | \(0.169033\pi\) | |||||||
\(882\) | −7.53549 | + | 13.5465i | −0.253733 | + | 0.456135i | ||||
\(883\) | 22.6148 | − | 26.9512i | 0.761048 | − | 0.906981i | −0.236866 | − | 0.971542i | \(-0.576120\pi\) |
0.997914 | + | 0.0645611i | \(0.0205647\pi\) | |||||||
\(884\) | 1.76179 | + | 4.39845i | 0.0592554 | + | 0.147936i | ||||
\(885\) | −0.247654 | − | 0.428949i | −0.00832480 | − | 0.0144190i | ||||
\(886\) | −0.736958 | − | 46.1823i | −0.0247586 | − | 1.55153i | ||||
\(887\) | 30.0097 | − | 10.9226i | 1.00763 | − | 0.366746i | 0.215105 | − | 0.976591i | \(-0.430991\pi\) |
0.792521 | + | 0.609845i | \(0.208768\pi\) | |||||||
\(888\) | 11.0873 | − | 2.50731i | 0.372065 | − | 0.0841398i | ||||
\(889\) | −18.0218 | − | 3.17774i | −0.604433 | − | 0.106578i | ||||
\(890\) | −0.891291 | + | 0.171865i | −0.0298762 | + | 0.00576093i | ||||
\(891\) | −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 | ||||
\(896\) | 15.1591 | − | 4.46144i | 0.506430 | − | 0.149046i | ||||
\(897\) | −2.69795 | + | 15.3008i | −0.0900819 | + | 0.510880i | ||||
\(898\) | −4.81035 | − | 5.55044i | −0.160524 | − | 0.185220i | ||||
\(899\) | 11.2778 | + | 30.9856i | 0.376137 | + | 1.03343i | ||||
\(900\) | −11.4437 | − | 18.4364i | −0.381457 | − | 0.614546i | ||||
\(901\) | −5.41201 | + | 3.12463i | −0.180300 | + | 0.104096i | ||||
\(902\) | 2.05324 | − | 12.8392i | 0.0683653 | − | 0.427499i | ||||
\(903\) | −0.401819 | − | 0.337166i | −0.0133717 | − | 0.0112202i | ||||
\(904\) | −33.8305 | + | 21.7544i | −1.12519 | + | 0.723541i | ||||
\(905\) | 0.863341 | + | 0.498450i | 0.0286984 | + | 0.0165690i | ||||
\(906\) | −0.552208 | − | 0.448539i | −0.0183459 | − | 0.0149017i | ||||
\(907\) | −2.47076 | − | 14.0124i | −0.0820404 | − | 0.465274i | −0.997956 | − | 0.0639034i | \(-0.979645\pi\) |
0.915916 | − | 0.401371i | \(-0.131466\pi\) | |||||||
\(908\) | −19.4836 | − | 15.3164i | −0.646585 | − | 0.508293i | ||||
\(909\) | −21.5029 | − | 7.82640i | −0.713205 | − | 0.259585i | ||||
\(910\) | 0.172677 | + | 0.0597466i | 0.00572417 | + | 0.00198058i | ||||
\(911\) | −6.23491 | −0.206572 | −0.103286 | − | 0.994652i | \(-0.532936\pi\) | ||||
−0.103286 | + | 0.994652i | \(0.532936\pi\) | |||||||
\(912\) | −2.43950 | + | 15.6878i | −0.0807799 | + | 0.519475i | ||||
\(913\) | 0.962289 | 0.0318471 | ||||||||
\(914\) | −17.6588 | − | 6.11002i | −0.584103 | − | 0.202101i | ||||
\(915\) | 0.486799 | + | 0.177180i | 0.0160931 | + | 0.00585740i | ||||
\(916\) | 14.6100 | + | 11.4852i | 0.482729 | + | 0.379482i | ||||
\(917\) | 0.329239 | + | 1.86721i | 0.0108724 | + | 0.0616607i | ||||
\(918\) | −6.14178 | − | 4.98876i | −0.202709 | − | 0.164654i | ||||
\(919\) | 1.40693 | + | 0.812293i | 0.0464104 | + | 0.0267951i | 0.523026 | − | 0.852317i | \(-0.324803\pi\) |
−0.476615 | + | 0.879112i | \(0.658137\pi\) | |||||||
\(920\) | 0.944729 | − | 0.607499i | 0.0311468 | − | 0.0200287i | ||||
\(921\) | −19.8875 | − | 16.6876i | −0.655315 | − | 0.549875i | ||||
\(922\) | 5.87594 | − | 36.7431i | 0.193514 | − | 1.21007i | ||||
\(923\) | 10.5546 | − | 6.09371i | 0.347409 | − | 0.200577i | ||||
\(924\) | −1.75783 | − | 2.83195i | −0.0578283 | − | 0.0931642i | ||||
\(925\) | 7.54453 | + | 20.7284i | 0.248063 | + | 0.681547i | ||||
\(926\) | −19.5828 | − | 22.5957i | −0.643530 | − | 0.742539i | ||||
\(927\) | 0.218548 | − | 1.23945i | 0.00717805 | − | 0.0407087i | ||||
\(928\) | −21.3353 | − | 21.6572i | −0.700367 | − | 0.710931i | ||||
\(929\) | −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 | ||||
\(934\) | −43.9606 | + | 8.47680i | −1.43844 | + | 0.277369i | ||||
\(935\) | −0.0711536 | − | 0.0125463i | −0.00232697 | − | 0.000410308i | ||||
\(936\) | −11.9399 | + | 2.70011i | −0.390267 | + | 0.0882559i | ||||
\(937\) | 7.32200 | − | 2.66499i | 0.239199 | − | 0.0870615i | −0.219639 | − | 0.975581i | \(-0.570488\pi\) |
0.458838 | + | 0.888520i | \(0.348266\pi\) | |||||||
\(938\) | 0.345946 | + | 21.6791i | 0.0112956 | + | 0.707849i | ||||
\(939\) | 1.61818 | + | 2.80277i | 0.0528074 | + | 0.0914650i | ||||
\(940\) | −0.287874 | − | 0.718702i | −0.00938942 | − | 0.0234415i | ||||
\(941\) | −15.8110 | + | 18.8429i | −0.515425 | + | 0.614260i | −0.959493 | − | 0.281734i | \(-0.909091\pi\) |
0.444068 | + | 0.895993i | \(0.353535\pi\) | |||||||
\(942\) | 4.35085 | − | 7.82150i | 0.141758 | − | 0.254838i | ||||
\(943\) | −30.0240 | + | 52.0032i | −0.977717 | + | 1.69346i | ||||
\(944\) | −37.7716 | − | 27.7897i | −1.22936 | − | 0.904479i | ||||
\(945\) | −0.300502 | + | 0.0529867i | −0.00977534 | + | 0.00172366i | ||||
\(946\) | 0.713965 | − | 0.272840i | 0.0232130 | − | 0.00887079i | ||||
\(947\) | −1.99484 | + | 5.48078i | −0.0648236 | + | 0.178101i | −0.967875 | − | 0.251430i | \(-0.919099\pi\) |
0.903052 | + | 0.429532i | \(0.141321\pi\) | |||||||
\(948\) | 4.10666 | + | 19.6088i | 0.133378 | + | 0.636865i | ||||
\(949\) | 12.9308i | 0.419751i | ||||||||
\(950\) | −30.7971 | − | 0.850313i | −0.999189 | − | 0.0275878i | ||||
\(951\) | − | 12.6600i | − | 0.410528i | ||||||
\(952\) | 3.18612 | + | 3.44761i | 0.103263 | + | 0.111738i | ||||
\(953\) | 0.622993 | − | 1.71166i | 0.0201807 | − | 0.0554461i | −0.929193 | − | 0.369594i | \(-0.879497\pi\) |
0.949374 | + | 0.314148i | \(0.101719\pi\) | |||||||
\(954\) | −5.76340 | − | 15.0816i | −0.186597 | − | 0.488286i | ||||
\(955\) | −0.350970 | + | 0.0618855i | −0.0113571 | + | 0.00200257i | ||||
\(956\) | −41.4700 | − | 5.95490i | −1.34124 | − | 0.192595i | ||||
\(957\) | −3.20629 | + | 5.55346i | −0.103645 | + | 0.179518i | ||||
\(958\) | 16.7222 | + | 9.30200i | 0.540269 | + | 0.300534i | ||||
\(959\) | −6.92480 | + | 8.25265i | −0.223613 | + | 0.266492i | ||||
\(960\) | −0.278506 | − | 0.191517i | −0.00898873 | − | 0.00618117i | ||||
\(961\) | −3.32299 | − | 5.75559i | −0.107193 | − | 0.185664i | ||||
\(962\) | 12.4426 | − | 0.198553i | 0.401165 | − | 0.00640161i | ||||
\(963\) | −1.72356 | + | 0.627323i | −0.0555408 | + | 0.0202152i | ||||
\(964\) | 5.90285 | − | 17.9837i | 0.190118 | − | 0.579217i | ||||
\(965\) | −0.177732 | − | 0.0313390i | −0.00572140 | − | 0.00100884i | ||||
\(966\) | 2.91456 | + | 15.1149i | 0.0937744 | + | 0.486313i | ||||
\(967\) | −12.3518 | − | 14.7203i | −0.397208 | − | 0.473375i | 0.529958 | − | 0.848024i | \(-0.322208\pi\) |
−0.927167 | + | 0.374649i | \(0.877763\pi\) | |||||||
\(968\) | −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 | \(-0.367550\pi\) |
0.970963 | − | 0.239230i | \(-0.0768948\pi\) | |||||||
\(972\) | 24.0705 | − | 21.5430i | 0.772060 | − | 0.690992i | ||||
\(973\) | 4.14168 | − | 23.4886i | 0.132776 | − | 0.753011i | ||||
\(974\) | 13.8856 | − | 12.0341i | 0.444922 | − | 0.385597i | ||||
\(975\) | 3.10314 | + | 8.52580i | 0.0993799 | + | 0.273044i | ||||
\(976\) | 48.9454 | − | 3.12818i | 1.56670 | − | 0.100131i | ||||
\(977\) | −10.5268 | + | 6.07767i | −0.336783 | + | 0.194442i | −0.658849 | − | 0.752275i | \(-0.728956\pi\) |
0.322065 | + | 0.946717i | \(0.395623\pi\) | |||||||
\(978\) | −20.7296 | − | 3.31506i | −0.662859 | − | 0.106004i | ||||
\(979\) | 13.8860 | + | 11.6517i | 0.443799 | + | 0.372391i | ||||
\(980\) | −0.468322 | + | 0.0149504i | −0.0149600 | + | 0.000477572i | ||||
\(981\) | −15.2667 | − | 8.81424i | −0.487428 | − | 0.281417i | ||||
\(982\) | −29.0220 | + | 35.7297i | −0.926130 | + | 1.14018i | ||||
\(983\) | −4.91750 | − | 27.8885i | −0.156844 | − | 0.889506i | −0.957081 | − | 0.289822i | \(-0.906404\pi\) |
0.800237 | − | 0.599684i | \(-0.204707\pi\) | |||||||
\(984\) | 17.9253 | + | 2.28272i | 0.571439 | + | 0.0727705i | ||||
\(985\) | −0.508795 | − | 0.185186i | −0.0162116 | − | 0.00590053i | ||||
\(986\) | 2.95314 | − | 8.53500i | 0.0940470 | − | 0.271810i | ||||
\(987\) | 10.6105 | 0.337737 | ||||||||
\(988\) | −6.13426 | + | 16.2619i | −0.195157 | + | 0.517360i | ||||
\(989\) | −3.52983 | −0.112242 | ||||||||
\(990\) | 0.0610366 | − | 0.176405i | 0.00193987 | − | 0.00560651i | ||||
\(991\) | 28.8710 | + | 10.5082i | 0.917116 | + | 0.333803i | 0.757091 | − | 0.653310i | \(-0.226620\pi\) |
0.160026 | + | 0.987113i | \(0.448842\pi\) | |||||||
\(992\) | 28.2816 | + | 20.1202i | 0.897943 | + | 0.638816i | ||||
\(993\) | −1.12404 | − | 6.37473i | −0.0356702 | − | 0.202296i | ||||
\(994\) | 7.61297 | − | 9.37251i | 0.241469 | − | 0.297278i | ||||
\(995\) | 0.870991 | + | 0.502867i | 0.0276123 | + | 0.0159420i | ||||
\(996\) | 0.0426708 | + | 1.33667i | 0.00135207 | + | 0.0423539i | ||||
\(997\) | 42.8223 | + | 35.9321i | 1.35619 | + | 1.13798i | 0.977137 | + | 0.212609i | \(0.0681961\pi\) |
0.379057 | + | 0.925373i | \(0.376248\pi\) | |||||||
\(998\) | 5.78533 | + | 0.925187i | 0.183131 | + | 0.0292863i | ||||
\(999\) | −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.51.8 | yes | 48 | |
3.2 | odd | 2 | 684.2.cf.a.127.1 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.51.5 | yes | 48 | |
12.11 | even | 2 | 684.2.cf.a.127.4 | 48 | |||
19.3 | odd | 18 | inner | 76.2.k.a.3.5 | ✓ | 48 | |
57.41 | even | 18 | 684.2.cf.a.307.4 | 48 | |||
76.3 | even | 18 | inner | 76.2.k.a.3.8 | yes | 48 | |
228.155 | odd | 18 | 684.2.cf.a.307.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.3.5 | ✓ | 48 | 19.3 | odd | 18 | inner | |
76.2.k.a.3.8 | yes | 48 | 76.3 | even | 18 | inner | |
76.2.k.a.51.5 | yes | 48 | 4.3 | odd | 2 | inner | |
76.2.k.a.51.8 | yes | 48 | 1.1 | even | 1 | trivial | |
684.2.cf.a.127.1 | 48 | 3.2 | odd | 2 | |||
684.2.cf.a.127.4 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.307.1 | 48 | 228.155 | odd | 18 | |||
684.2.cf.a.307.4 | 48 | 57.41 | even | 18 |