Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(43,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 8, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bo (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(272\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 43.17 | ||
Character | \(\chi\) | \(=\) | 360.43 |
Dual form | 360.2.bo.a.67.17 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07322 | + | 0.920972i | −0.758884 | + | 0.651225i | ||||
\(3\) | 0.380005 | + | 1.68985i | 0.219396 | + | 0.975636i | ||||
\(4\) | 0.303622 | − | 1.97682i | 0.151811 | − | 0.988410i | ||||
\(5\) | 0.0281379 | + | 2.23589i | 0.0125837 | + | 0.999921i | ||||
\(6\) | −1.96414 | − | 1.46362i | −0.801855 | − | 0.597519i | ||||
\(7\) | −1.94379 | + | 0.520837i | −0.734683 | + | 0.196858i | −0.606714 | − | 0.794920i | \(-0.707513\pi\) |
−0.127969 | + | 0.991778i | \(0.540846\pi\) | |||||||
\(8\) | 1.49474 | + | 2.40120i | 0.528470 | + | 0.848952i | ||||
\(9\) | −2.71119 | + | 1.28430i | −0.903731 | + | 0.428101i | ||||
\(10\) | −2.08939 | − | 2.37370i | −0.660723 | − | 0.750630i | ||||
\(11\) | 0.660500 | − | 1.14402i | 0.199148 | − | 0.344935i | −0.749104 | − | 0.662452i | \(-0.769516\pi\) |
0.948252 | + | 0.317517i | \(0.102849\pi\) | |||||||
\(12\) | 3.45591 | − | 0.238125i | 0.997635 | − | 0.0687408i | ||||
\(13\) | −0.243400 | − | 0.0652188i | −0.0675069 | − | 0.0180884i | 0.224908 | − | 0.974380i | \(-0.427792\pi\) |
−0.292414 | + | 0.956292i | \(0.594459\pi\) | |||||||
\(14\) | 1.60645 | − | 2.34915i | 0.429341 | − | 0.627837i | ||||
\(15\) | −3.76763 | + | 0.897199i | −0.972798 | + | 0.231656i | ||||
\(16\) | −3.81563 | − | 1.20041i | −0.953907 | − | 0.300103i | ||||
\(17\) | −4.73524 | + | 4.73524i | −1.14846 | + | 1.14846i | −0.161609 | + | 0.986855i | \(0.551668\pi\) |
−0.986855 | + | 0.161609i | \(0.948332\pi\) | |||||||
\(18\) | 1.72691 | − | 3.87528i | 0.407037 | − | 0.913412i | ||||
\(19\) | − | 1.98509i | − | 0.455411i | −0.973730 | − | 0.227705i | \(-0.926878\pi\) | ||
0.973730 | − | 0.227705i | \(-0.0731223\pi\) | |||||||
\(20\) | 4.42850 | + | 0.623243i | 0.990242 | + | 0.139361i | ||||
\(21\) | −1.61879 | − | 3.08679i | −0.353248 | − | 0.673593i | ||||
\(22\) | 0.344745 | + | 1.83609i | 0.0734998 | + | 0.391456i | ||||
\(23\) | 6.95463 | + | 1.86349i | 1.45014 | + | 0.388564i | 0.896072 | − | 0.443908i | \(-0.146408\pi\) |
0.554067 | + | 0.832472i | \(0.313075\pi\) | |||||||
\(24\) | −3.48966 | + | 3.43835i | −0.712324 | + | 0.701851i | ||||
\(25\) | −4.99842 | + | 0.125827i | −0.999683 | + | 0.0251653i | ||||
\(26\) | 0.321287 | − | 0.154170i | 0.0630096 | − | 0.0302352i | ||||
\(27\) | −3.20055 | − | 4.09347i | −0.615946 | − | 0.787788i | ||||
\(28\) | 0.439422 | + | 4.00066i | 0.0830430 | + | 0.756053i | ||||
\(29\) | −0.0551733 | + | 0.0955630i | −0.0102454 | + | 0.0177456i | −0.871103 | − | 0.491101i | \(-0.836595\pi\) |
0.860857 | + | 0.508847i | \(0.169928\pi\) | |||||||
\(30\) | 3.21722 | − | 4.43278i | 0.587381 | − | 0.809311i | ||||
\(31\) | −2.75811 | + | 1.59240i | −0.495371 | + | 0.286003i | −0.726800 | − | 0.686849i | \(-0.758993\pi\) |
0.231429 | + | 0.972852i | \(0.425660\pi\) | |||||||
\(32\) | 5.20057 | − | 2.22577i | 0.919340 | − | 0.393465i | ||||
\(33\) | 2.18422 | + | 0.681413i | 0.380223 | + | 0.118619i | ||||
\(34\) | 0.720954 | − | 9.44299i | 0.123643 | − | 1.61946i | ||||
\(35\) | −1.21923 | − | 4.33145i | −0.206087 | − | 0.732148i | ||||
\(36\) | 1.71566 | + | 5.74948i | 0.285943 | + | 0.958247i | ||||
\(37\) | −2.56353 | − | 2.56353i | −0.421442 | − | 0.421442i | 0.464258 | − | 0.885700i | \(-0.346321\pi\) |
−0.885700 | + | 0.464258i | \(0.846321\pi\) | |||||||
\(38\) | 1.82821 | + | 2.13045i | 0.296575 | + | 0.345604i | ||||
\(39\) | 0.0177168 | − | 0.436093i | 0.00283696 | − | 0.0698307i | ||||
\(40\) | −5.32676 | + | 3.40964i | −0.842235 | + | 0.539111i | ||||
\(41\) | −1.89848 | − | 3.28826i | −0.296493 | − | 0.513540i | 0.678838 | − | 0.734288i | \(-0.262484\pi\) |
−0.975331 | + | 0.220747i | \(0.929150\pi\) | |||||||
\(42\) | 4.58017 | + | 1.82197i | 0.706736 | + | 0.281135i | ||||
\(43\) | 1.65871 | − | 0.444450i | 0.252951 | − | 0.0677780i | −0.130115 | − | 0.991499i | \(-0.541535\pi\) |
0.383066 | + | 0.923721i | \(0.374868\pi\) | |||||||
\(44\) | −2.06098 | − | 1.65304i | −0.310704 | − | 0.249205i | ||||
\(45\) | −2.94785 | − | 6.02579i | −0.439440 | − | 0.898272i | ||||
\(46\) | −9.18009 | + | 4.40507i | −1.35353 | + | 0.649493i | ||||
\(47\) | 3.58815 | − | 0.961442i | 0.523385 | − | 0.140241i | 0.0125533 | − | 0.999921i | \(-0.496004\pi\) |
0.510832 | + | 0.859681i | \(0.329337\pi\) | |||||||
\(48\) | 0.578560 | − | 6.90400i | 0.0835079 | − | 0.996507i | ||||
\(49\) | −2.55513 | + | 1.47521i | −0.365019 | + | 0.210744i | ||||
\(50\) | 5.24854 | − | 4.73844i | 0.742256 | − | 0.670117i | ||||
\(51\) | −9.80126 | − | 6.20243i | −1.37245 | − | 0.868514i | ||||
\(52\) | −0.202827 | + | 0.461355i | −0.0281271 | + | 0.0639785i | ||||
\(53\) | −8.40903 | + | 8.40903i | −1.15507 | + | 1.15507i | −0.169548 | + | 0.985522i | \(0.554231\pi\) |
−0.985522 | + | 0.169548i | \(0.945769\pi\) | |||||||
\(54\) | 7.20488 | + | 1.44559i | 0.980460 | + | 0.196721i | ||||
\(55\) | 2.57649 | + | 1.44462i | 0.347414 | + | 0.194792i | ||||
\(56\) | −4.15609 | − | 3.88891i | −0.555381 | − | 0.519677i | ||||
\(57\) | 3.35450 | − | 0.754344i | 0.444315 | − | 0.0999153i | ||||
\(58\) | −0.0287974 | − | 0.153374i | −0.00378129 | − | 0.0201389i | ||||
\(59\) | 5.18353 | − | 2.99271i | 0.674838 | − | 0.389618i | −0.123069 | − | 0.992398i | \(-0.539274\pi\) |
0.797907 | + | 0.602780i | \(0.205940\pi\) | |||||||
\(60\) | 0.629664 | + | 7.72033i | 0.0812893 | + | 0.996691i | ||||
\(61\) | 7.90390 | + | 4.56332i | 1.01199 | + | 0.584273i | 0.911774 | − | 0.410693i | \(-0.134713\pi\) |
0.100216 | + | 0.994966i | \(0.468046\pi\) | |||||||
\(62\) | 1.49352 | − | 4.24914i | 0.189677 | − | 0.539641i | ||||
\(63\) | 4.60107 | − | 3.90851i | 0.579681 | − | 0.492425i | ||||
\(64\) | −3.53151 | + | 7.17833i | −0.441438 | + | 0.897292i | ||||
\(65\) | 0.138973 | − | 0.546050i | 0.0172375 | − | 0.0677292i | ||||
\(66\) | −2.97172 | + | 1.28029i | −0.365793 | + | 0.157593i | ||||
\(67\) | 10.9852 | + | 2.94347i | 1.34205 | + | 0.359602i | 0.857195 | − | 0.514991i | \(-0.172205\pi\) |
0.484857 | + | 0.874593i | \(0.338871\pi\) | |||||||
\(68\) | 7.92299 | + | 10.7984i | 0.960803 | + | 1.30950i | ||||
\(69\) | −0.506220 | + | 12.4604i | −0.0609417 | + | 1.50006i | ||||
\(70\) | 5.29764 | + | 3.52574i | 0.633190 | + | 0.421406i | ||||
\(71\) | 13.2069i | 1.56737i | 0.621161 | + | 0.783683i | \(0.286661\pi\) | ||||
−0.621161 | + | 0.783683i | \(0.713339\pi\) | |||||||
\(72\) | −7.13640 | − | 4.59041i | −0.841032 | − | 0.540985i | ||||
\(73\) | 9.45101 | + | 9.45101i | 1.10616 | + | 1.10616i | 0.993651 | + | 0.112506i | \(0.0358877\pi\) |
0.112506 | + | 0.993651i | \(0.464112\pi\) | |||||||
\(74\) | 5.11219 | + | 0.390305i | 0.594280 | + | 0.0453721i | ||||
\(75\) | −2.11205 | − | 8.39876i | −0.243879 | − | 0.969806i | ||||
\(76\) | −3.92416 | − | 0.602717i | −0.450132 | − | 0.0691364i | ||||
\(77\) | −0.688025 | + | 2.56775i | −0.0784078 | + | 0.292622i | ||||
\(78\) | 0.382615 | + | 0.484342i | 0.0433226 | + | 0.0548409i | ||||
\(79\) | 1.34585 | − | 2.33107i | 0.151419 | − | 0.262266i | −0.780330 | − | 0.625368i | \(-0.784949\pi\) |
0.931750 | + | 0.363102i | \(0.118282\pi\) | |||||||
\(80\) | 2.57663 | − | 8.56510i | 0.288076 | − | 0.957608i | ||||
\(81\) | 5.70112 | − | 6.96399i | 0.633458 | − | 0.773777i | ||||
\(82\) | 5.06589 | + | 1.78060i | 0.559434 | + | 0.196634i | ||||
\(83\) | −10.7685 | + | 2.88542i | −1.18200 | + | 0.316716i | −0.795720 | − | 0.605664i | \(-0.792907\pi\) |
−0.386282 | + | 0.922381i | \(0.626241\pi\) | |||||||
\(84\) | −6.59353 | + | 2.26283i | −0.719413 | + | 0.246895i | ||||
\(85\) | −10.7207 | − | 10.4542i | −1.16282 | − | 1.13392i | ||||
\(86\) | −1.37084 | + | 2.00462i | −0.147822 | + | 0.216164i | ||||
\(87\) | −0.182453 | − | 0.0569202i | −0.0195611 | − | 0.00610249i | ||||
\(88\) | 3.73429 | − | 0.124020i | 0.398077 | − | 0.0132206i | ||||
\(89\) | 16.2645i | 1.72404i | 0.506877 | + | 0.862019i | \(0.330800\pi\) | ||||
−0.506877 | + | 0.862019i | \(0.669200\pi\) | |||||||
\(90\) | 8.71329 | + | 3.75214i | 0.918462 | + | 0.395510i | ||||
\(91\) | 0.507086 | 0.0531571 | ||||||||
\(92\) | 5.79535 | − | 13.1822i | 0.604207 | − | 1.37434i | ||||
\(93\) | −3.73901 | − | 4.05568i | −0.387717 | − | 0.420554i | ||||
\(94\) | −2.96543 | + | 4.33643i | −0.305861 | + | 0.447268i | ||||
\(95\) | 4.43844 | − | 0.0558563i | 0.455375 | − | 0.00573074i | ||||
\(96\) | 5.73747 | + | 7.94238i | 0.585578 | + | 0.810616i | ||||
\(97\) | −2.00757 | − | 7.49237i | −0.203838 | − | 0.760735i | −0.989801 | − | 0.142460i | \(-0.954499\pi\) |
0.785962 | − | 0.618274i | \(-0.212168\pi\) | |||||||
\(98\) | 1.38361 | − | 3.93643i | 0.139765 | − | 0.397640i | ||||
\(99\) | −0.321473 | + | 3.94994i | −0.0323093 | + | 0.396984i | ||||
\(100\) | −1.26889 | + | 9.91917i | −0.126889 | + | 0.991917i | ||||
\(101\) | 12.7342 | + | 7.35210i | 1.26710 | + | 0.731561i | 0.974438 | − | 0.224655i | \(-0.0721255\pi\) |
0.292662 | + | 0.956216i | \(0.405459\pi\) | |||||||
\(102\) | 16.2312 | − | 2.37008i | 1.60713 | − | 0.234673i | ||||
\(103\) | 5.97851 | + | 1.60194i | 0.589080 | + | 0.157843i | 0.541033 | − | 0.841002i | \(-0.318034\pi\) |
0.0480473 | + | 0.998845i | \(0.484700\pi\) | |||||||
\(104\) | −0.207216 | − | 0.681936i | −0.0203192 | − | 0.0668693i | ||||
\(105\) | 6.85618 | − | 3.70629i | 0.669095 | − | 0.361696i | ||||
\(106\) | 1.28030 | − | 16.7693i | 0.124354 | − | 1.62878i | ||||
\(107\) | 1.39450 | − | 1.39450i | 0.134811 | − | 0.134811i | −0.636481 | − | 0.771292i | \(-0.719611\pi\) |
0.771292 | + | 0.636481i | \(0.219611\pi\) | |||||||
\(108\) | −9.06380 | + | 5.08404i | −0.872165 | + | 0.489212i | ||||
\(109\) | 8.71503 | 0.834749 | 0.417374 | − | 0.908735i | \(-0.362950\pi\) | ||||
0.417374 | + | 0.908735i | \(0.362950\pi\) | |||||||
\(110\) | −4.09560 | + | 0.822476i | −0.390500 | + | 0.0784200i | ||||
\(111\) | 3.35783 | − | 5.30614i | 0.318711 | − | 0.503637i | ||||
\(112\) | 8.04199 | + | 0.346030i | 0.759897 | + | 0.0326967i | ||||
\(113\) | −2.90868 | + | 10.8553i | −0.273626 | + | 1.02119i | 0.683131 | + | 0.730296i | \(0.260618\pi\) |
−0.956757 | + | 0.290889i | \(0.906049\pi\) | |||||||
\(114\) | −2.90541 | + | 3.89898i | −0.272116 | + | 0.365173i | ||||
\(115\) | −3.97086 | + | 15.6022i | −0.370285 | + | 1.45491i | ||||
\(116\) | 0.172159 | + | 0.138083i | 0.0159846 | + | 0.0128207i | ||||
\(117\) | 0.743664 | − | 0.135779i | 0.0687518 | − | 0.0125527i | ||||
\(118\) | −2.80689 | + | 7.98574i | −0.258395 | + | 0.735147i | ||||
\(119\) | 6.73802 | − | 11.6706i | 0.617673 | − | 1.06984i | ||||
\(120\) | −7.78598 | − | 7.70575i | −0.710759 | − | 0.703435i | ||||
\(121\) | 4.62748 | + | 8.01503i | 0.420680 | + | 0.728639i | ||||
\(122\) | −12.6853 | + | 2.38180i | −1.14848 | + | 0.215638i | ||||
\(123\) | 4.83524 | − | 4.45770i | 0.435979 | − | 0.401938i | ||||
\(124\) | 2.31045 | + | 5.93577i | 0.207485 | + | 0.533048i | ||||
\(125\) | −0.421980 | − | 11.1724i | −0.0377430 | − | 0.999287i | ||||
\(126\) | −1.33836 | + | 8.43216i | −0.119231 | + | 0.751197i | ||||
\(127\) | −14.0814 | − | 14.0814i | −1.24952 | − | 1.24952i | −0.955933 | − | 0.293586i | \(-0.905151\pi\) |
−0.293586 | − | 0.955933i | \(-0.594849\pi\) | |||||||
\(128\) | −2.82094 | − | 10.9564i | −0.249338 | − | 0.968416i | ||||
\(129\) | 1.38137 | + | 2.63408i | 0.121623 | + | 0.231918i | ||||
\(130\) | 0.353747 | + | 0.714025i | 0.0310257 | + | 0.0626241i | ||||
\(131\) | −5.44918 | − | 9.43825i | −0.476097 | − | 0.824624i | 0.523528 | − | 0.852008i | \(-0.324616\pi\) |
−0.999625 | + | 0.0273844i | \(0.991282\pi\) | |||||||
\(132\) | 2.01021 | − | 4.11091i | 0.174966 | − | 0.357809i | ||||
\(133\) | 1.03391 | + | 3.85859i | 0.0896511 | + | 0.334583i | ||||
\(134\) | −14.5004 | + | 6.95803i | −1.25264 | + | 0.601082i | ||||
\(135\) | 9.06249 | − | 7.27126i | 0.779975 | − | 0.625811i | ||||
\(136\) | −18.4482 | − | 4.29230i | −1.58192 | − | 0.368062i | ||||
\(137\) | 4.37984 | + | 16.3458i | 0.374195 | + | 1.39652i | 0.854517 | + | 0.519424i | \(0.173853\pi\) |
−0.480321 | + | 0.877093i | \(0.659480\pi\) | |||||||
\(138\) | −10.9324 | − | 13.8390i | −0.930628 | − | 1.17806i | ||||
\(139\) | 11.6637 | − | 6.73403i | 0.989301 | − | 0.571173i | 0.0842359 | − | 0.996446i | \(-0.473155\pi\) |
0.905065 | + | 0.425272i | \(0.139822\pi\) | |||||||
\(140\) | −8.93267 | + | 1.09507i | −0.754948 | + | 0.0925504i | ||||
\(141\) | 2.98821 | + | 5.69808i | 0.251653 | + | 0.479865i | ||||
\(142\) | −12.1632 | − | 14.1739i | −1.02071 | − | 1.18945i | ||||
\(143\) | −0.235377 | + | 0.235377i | −0.0196832 | + | 0.0196832i | ||||
\(144\) | 11.8866 | − | 1.64588i | 0.990549 | − | 0.137156i | ||||
\(145\) | −0.215221 | − | 0.120673i | −0.0178731 | − | 0.0100213i | ||||
\(146\) | −18.8472 | − | 1.43894i | −1.55980 | − | 0.119088i | ||||
\(147\) | −3.46384 | − | 3.75721i | −0.285693 | − | 0.309889i | ||||
\(148\) | −5.84599 | + | 4.28929i | −0.480537 | + | 0.352578i | ||||
\(149\) | −1.31331 | − | 2.27472i | −0.107590 | − | 0.186352i | 0.807203 | − | 0.590274i | \(-0.200980\pi\) |
−0.914794 | + | 0.403922i | \(0.867647\pi\) | |||||||
\(150\) | 10.0017 | + | 7.06862i | 0.816638 | + | 0.577150i | ||||
\(151\) | −2.81469 | − | 1.62506i | −0.229056 | − | 0.132246i | 0.381080 | − | 0.924542i | \(-0.375552\pi\) |
−0.610137 | + | 0.792296i | \(0.708885\pi\) | |||||||
\(152\) | 4.76659 | − | 2.96719i | 0.386622 | − | 0.240671i | ||||
\(153\) | 6.75665 | − | 18.9196i | 0.546243 | − | 1.52956i | ||||
\(154\) | −1.62642 | − | 3.38942i | −0.131060 | − | 0.273127i | ||||
\(155\) | −3.63803 | − | 6.12203i | −0.292214 | − | 0.491733i | ||||
\(156\) | −0.856697 | − | 0.167430i | −0.0685907 | − | 0.0134052i | ||||
\(157\) | 1.46475 | − | 5.46651i | 0.116900 | − | 0.436275i | −0.882522 | − | 0.470270i | \(-0.844156\pi\) |
0.999422 | + | 0.0339952i | \(0.0108231\pi\) | |||||||
\(158\) | 0.702457 | + | 3.74125i | 0.0558845 | + | 0.297638i | ||||
\(159\) | −17.4055 | − | 11.0145i | −1.38035 | − | 0.873510i | ||||
\(160\) | 5.12292 | + | 11.5653i | 0.405002 | + | 0.914316i | ||||
\(161\) | −14.4889 | −1.14189 | ||||||||
\(162\) | 0.295051 | + | 12.7245i | 0.0231814 | + | 0.999731i | ||||
\(163\) | 9.35371 | + | 9.35371i | 0.732639 | + | 0.732639i | 0.971142 | − | 0.238502i | \(-0.0766565\pi\) |
−0.238502 | + | 0.971142i | \(0.576657\pi\) | |||||||
\(164\) | −7.07672 | + | 2.75456i | −0.552599 | + | 0.215095i | ||||
\(165\) | −1.46211 | + | 4.90284i | −0.113825 | + | 0.381686i | ||||
\(166\) | 8.89968 | − | 13.0142i | 0.690749 | − | 1.01010i | ||||
\(167\) | −6.09975 | + | 22.7646i | −0.472013 | + | 1.76158i | 0.160509 | + | 0.987034i | \(0.448686\pi\) |
−0.632522 | + | 0.774542i | \(0.717980\pi\) | |||||||
\(168\) | 4.99234 | − | 8.50098i | 0.385167 | − | 0.655865i | ||||
\(169\) | −11.2033 | − | 6.46825i | −0.861795 | − | 0.497558i | ||||
\(170\) | 21.1338 | + | 1.34627i | 1.62089 | + | 0.103254i | ||||
\(171\) | 2.54946 | + | 5.38196i | 0.194962 | + | 0.411569i | ||||
\(172\) | −0.374976 | − | 3.41392i | −0.0285917 | − | 0.260309i | ||||
\(173\) | −3.51086 | − | 13.1027i | −0.266926 | − | 0.996180i | −0.961061 | − | 0.276336i | \(-0.910880\pi\) |
0.694135 | − | 0.719844i | \(-0.255787\pi\) | |||||||
\(174\) | 0.248235 | − | 0.106946i | 0.0188187 | − | 0.00810757i | ||||
\(175\) | 9.65033 | − | 2.84794i | 0.729497 | − | 0.215284i | ||||
\(176\) | −3.89352 | + | 3.57228i | −0.293485 | + | 0.269271i | ||||
\(177\) | 7.02701 | + | 7.62215i | 0.528182 | + | 0.572916i | ||||
\(178\) | −14.9792 | − | 17.4555i | −1.12274 | − | 1.30835i | ||||
\(179\) | − | 17.6631i | − | 1.32020i | −0.751176 | − | 0.660102i | \(-0.770513\pi\) | ||
0.751176 | − | 0.660102i | \(-0.229487\pi\) | |||||||
\(180\) | −12.8069 | + | 3.99781i | −0.954572 | + | 0.297979i | ||||
\(181\) | − | 15.0184i | − | 1.11631i | −0.829738 | − | 0.558154i | \(-0.811510\pi\) | ||
0.829738 | − | 0.558154i | \(-0.188490\pi\) | |||||||
\(182\) | −0.544217 | + | 0.467012i | −0.0403401 | + | 0.0346172i | ||||
\(183\) | −4.70780 | + | 15.0905i | −0.348011 | + | 1.11552i | ||||
\(184\) | 5.92075 | + | 19.4849i | 0.436484 | + | 1.43644i | ||||
\(185\) | 5.65965 | − | 5.80391i | 0.416105 | − | 0.426712i | ||||
\(186\) | 7.74796 | + | 0.909132i | 0.568108 | + | 0.0666608i | ||||
\(187\) | 2.28958 | + | 8.54483i | 0.167431 | + | 0.624860i | ||||
\(188\) | −0.811154 | − | 7.38504i | −0.0591595 | − | 0.538609i | ||||
\(189\) | 8.35322 | + | 6.28987i | 0.607608 | + | 0.457521i | ||||
\(190\) | −4.71200 | + | 4.14763i | −0.341845 | + | 0.300900i | ||||
\(191\) | −6.66926 | − | 3.85050i | −0.482571 | − | 0.278612i | 0.238916 | − | 0.971040i | \(-0.423208\pi\) |
−0.721487 | + | 0.692428i | \(0.756541\pi\) | |||||||
\(192\) | −13.4723 | − | 3.23992i | −0.972280 | − | 0.233821i | ||||
\(193\) | 4.60552 | − | 17.1880i | 0.331513 | − | 1.23722i | −0.576088 | − | 0.817388i | \(-0.695422\pi\) |
0.907601 | − | 0.419834i | \(-0.137912\pi\) | |||||||
\(194\) | 9.05484 | + | 6.19208i | 0.650099 | + | 0.444565i | ||||
\(195\) | 0.975554 | + | 0.0273421i | 0.0698609 | + | 0.00195801i | ||||
\(196\) | 2.14042 | + | 5.49894i | 0.152887 | + | 0.392781i | ||||
\(197\) | −12.8991 | − | 12.8991i | −0.919020 | − | 0.919020i | 0.0779380 | − | 0.996958i | \(-0.475166\pi\) |
−0.996958 | + | 0.0779380i | \(0.975166\pi\) | |||||||
\(198\) | −3.29277 | − | 4.53524i | −0.234007 | − | 0.322305i | ||||
\(199\) | 6.60482 | 0.468203 | 0.234102 | − | 0.972212i | \(-0.424785\pi\) | ||||
0.234102 | + | 0.972212i | \(0.424785\pi\) | |||||||
\(200\) | −7.77347 | − | 11.8141i | −0.549667 | − | 0.835384i | ||||
\(201\) | −0.799600 | + | 19.6818i | −0.0563994 | + | 1.38825i | ||||
\(202\) | −20.4377 | + | 3.83739i | −1.43799 | + | 0.269998i | ||||
\(203\) | 0.0574726 | − | 0.214491i | 0.00403378 | − | 0.0150543i | ||||
\(204\) | −15.2370 | + | 17.4921i | −1.06680 | + | 1.22469i | ||||
\(205\) | 7.29878 | − | 4.33732i | 0.509769 | − | 0.302931i | ||||
\(206\) | −7.89162 | + | 3.78680i | −0.549835 | + | 0.263839i | ||||
\(207\) | −21.2486 | + | 3.87959i | −1.47688 | + | 0.269650i | ||||
\(208\) | 0.850433 | + | 0.541030i | 0.0589669 | + | 0.0375137i | ||||
\(209\) | −2.27098 | − | 1.31115i | −0.157087 | − | 0.0906942i | ||||
\(210\) | −3.94484 | + | 10.2920i | −0.272220 | + | 0.710217i | ||||
\(211\) | 1.15287 | + | 1.99683i | 0.0793669 | + | 0.137468i | 0.902977 | − | 0.429689i | \(-0.141377\pi\) |
−0.823610 | + | 0.567157i | \(0.808043\pi\) | |||||||
\(212\) | 14.0700 | + | 19.1763i | 0.966329 | + | 1.31703i | ||||
\(213\) | −22.3176 | + | 5.01868i | −1.52918 | + | 0.343874i | ||||
\(214\) | −0.212317 | + | 2.78091i | −0.0145137 | + | 0.190099i | ||||
\(215\) | 1.04041 | + | 3.69619i | 0.0709557 | + | 0.252078i | ||||
\(216\) | 5.04524 | − | 13.8038i | 0.343285 | − | 0.939231i | ||||
\(217\) | 4.53181 | − | 4.53181i | 0.307639 | − | 0.307639i | ||||
\(218\) | −9.35319 | + | 8.02630i | −0.633478 | + | 0.543609i | ||||
\(219\) | −12.3794 | + | 19.5622i | −0.836520 | + | 1.32189i | ||||
\(220\) | 3.63802 | − | 4.65463i | 0.245275 | − | 0.313815i | ||||
\(221\) | 1.46138 | − | 0.843729i | 0.0983032 | − | 0.0567554i | ||||
\(222\) | 1.28310 | + | 8.78715i | 0.0861160 | + | 0.589755i | ||||
\(223\) | 3.54029 | + | 13.2125i | 0.237075 | + | 0.884776i | 0.977202 | + | 0.212310i | \(0.0680985\pi\) |
−0.740127 | + | 0.672467i | \(0.765235\pi\) | |||||||
\(224\) | −8.94955 | + | 7.03508i | −0.597967 | + | 0.470051i | ||||
\(225\) | 13.3901 | − | 6.76063i | 0.892671 | − | 0.450709i | ||||
\(226\) | −6.87580 | − | 14.3290i | −0.457371 | − | 0.953153i | ||||
\(227\) | 5.26075 | + | 19.6334i | 0.349168 | + | 1.30311i | 0.887667 | + | 0.460487i | \(0.152325\pi\) |
−0.538499 | + | 0.842626i | \(0.681008\pi\) | |||||||
\(228\) | −0.472700 | − | 6.86028i | −0.0313053 | − | 0.454333i | ||||
\(229\) | 5.54146 | + | 9.59810i | 0.366190 | + | 0.634260i | 0.988966 | − | 0.148140i | \(-0.0473286\pi\) |
−0.622776 | + | 0.782400i | \(0.713995\pi\) | |||||||
\(230\) | −10.1076 | − | 20.4017i | −0.666474 | − | 1.34525i | ||||
\(231\) | −4.60056 | − | 0.186904i | −0.302695 | − | 0.0122973i | ||||
\(232\) | −0.311935 | + | 0.0103597i | −0.0204796 | + | 0.000680148i | ||||
\(233\) | −9.55795 | − | 9.55795i | −0.626162 | − | 0.626162i | 0.320938 | − | 0.947100i | \(-0.396002\pi\) |
−0.947100 | + | 0.320938i | \(0.896002\pi\) | |||||||
\(234\) | −0.673070 | + | 0.830615i | −0.0440000 | + | 0.0542990i | ||||
\(235\) | 2.25064 | + | 7.99566i | 0.146816 | + | 0.521579i | ||||
\(236\) | −4.34222 | − | 11.1556i | −0.282654 | − | 0.726165i | ||||
\(237\) | 4.45059 | + | 1.38846i | 0.289097 | + | 0.0901900i | ||||
\(238\) | 3.51688 | + | 18.7307i | 0.227965 | + | 1.21413i | ||||
\(239\) | −14.5422 | − | 25.1878i | −0.940656 | − | 1.62926i | −0.764224 | − | 0.644950i | \(-0.776878\pi\) |
−0.176431 | − | 0.984313i | \(-0.556455\pi\) | |||||||
\(240\) | 15.4529 | + | 1.09933i | 0.997479 | + | 0.0709616i | ||||
\(241\) | −2.10611 | + | 3.64790i | −0.135667 | + | 0.234982i | −0.925852 | − | 0.377886i | \(-0.876651\pi\) |
0.790185 | + | 0.612868i | \(0.209984\pi\) | |||||||
\(242\) | −12.3479 | − | 4.34015i | −0.793756 | − | 0.278995i | ||||
\(243\) | 13.9346 | + | 6.98770i | 0.893903 | + | 0.448261i | ||||
\(244\) | 11.4207 | − | 14.2390i | 0.731132 | − | 0.911562i | ||||
\(245\) | −3.37030 | − | 5.67149i | −0.215320 | − | 0.362338i | ||||
\(246\) | −1.08388 | + | 9.23724i | −0.0691057 | + | 0.588945i | ||||
\(247\) | −0.129465 | + | 0.483170i | −0.00823766 | + | 0.0307434i | ||||
\(248\) | −7.94631 | − | 4.24255i | −0.504591 | − | 0.269402i | ||||
\(249\) | −8.96804 | − | 17.1008i | −0.568326 | − | 1.08372i | ||||
\(250\) | 10.7423 | + | 11.6018i | 0.679404 | + | 0.733764i | ||||
\(251\) | 29.1014 | 1.83687 | 0.918433 | − | 0.395577i | \(-0.129455\pi\) | ||||
0.918433 | + | 0.395577i | \(0.129455\pi\) | |||||||
\(252\) | −6.32942 | − | 10.2822i | −0.398716 | − | 0.647718i | ||||
\(253\) | 6.72539 | − | 6.72539i | 0.422822 | − | 0.422822i | ||||
\(254\) | 28.0810 | + | 2.14393i | 1.76196 | + | 0.134522i | ||||
\(255\) | 13.5922 | − | 22.0891i | 0.851175 | − | 1.38327i | ||||
\(256\) | 13.1180 | + | 9.16065i | 0.819876 | + | 0.572541i | ||||
\(257\) | 13.8479 | + | 3.71055i | 0.863811 | + | 0.231458i | 0.663410 | − | 0.748256i | \(-0.269109\pi\) |
0.200402 | + | 0.979714i | \(0.435775\pi\) | |||||||
\(258\) | −3.90844 | − | 1.55475i | −0.243329 | − | 0.0967947i | ||||
\(259\) | 6.31815 | + | 3.64778i | 0.392591 | + | 0.226662i | ||||
\(260\) | −1.03725 | − | 0.440518i | −0.0643273 | − | 0.0273198i | ||||
\(261\) | 0.0268535 | − | 0.329949i | 0.00166219 | − | 0.0204233i | ||||
\(262\) | 14.5406 | + | 5.11083i | 0.898319 | + | 0.315748i | ||||
\(263\) | −3.60452 | − | 13.4523i | −0.222264 | − | 0.829502i | −0.983482 | − | 0.181006i | \(-0.942065\pi\) |
0.761218 | − | 0.648497i | \(-0.224602\pi\) | |||||||
\(264\) | 1.62863 | + | 6.26327i | 0.100235 | + | 0.385478i | ||||
\(265\) | −19.0383 | − | 18.5651i | −1.16951 | − | 1.14044i | ||||
\(266\) | −4.66327 | − | 3.18894i | −0.285923 | − | 0.195526i | ||||
\(267\) | −27.4846 | + | 6.18061i | −1.68203 | + | 0.378247i | ||||
\(268\) | 9.15405 | − | 20.8220i | 0.559173 | − | 1.27191i | ||||
\(269\) | 11.9082 | 0.726054 | 0.363027 | − | 0.931779i | \(-0.381743\pi\) | ||||
0.363027 | + | 0.931779i | \(0.381743\pi\) | |||||||
\(270\) | −3.02946 | + | 16.1500i | −0.184367 | + | 0.982857i | ||||
\(271\) | 19.8861i | 1.20799i | 0.796987 | + | 0.603996i | \(0.206426\pi\) | ||||
−0.796987 | + | 0.603996i | \(0.793574\pi\) | |||||||
\(272\) | 23.7521 | − | 12.3837i | 1.44019 | − | 0.750870i | ||||
\(273\) | 0.192695 | + | 0.856900i | 0.0116625 | + | 0.0518619i | ||||
\(274\) | −19.7546 | − | 13.5090i | −1.19342 | − | 0.816109i | ||||
\(275\) | −3.15751 | + | 5.80139i | −0.190405 | + | 0.349837i | ||||
\(276\) | 24.4783 | + | 4.78396i | 1.47342 | + | 0.287961i | ||||
\(277\) | −1.09667 | + | 0.293851i | −0.0658923 | + | 0.0176558i | −0.291615 | − | 0.956536i | \(-0.594192\pi\) |
0.225722 | + | 0.974192i | \(0.427526\pi\) | |||||||
\(278\) | −6.31590 | + | 17.9691i | −0.378803 | + | 1.07771i | ||||
\(279\) | 5.43265 | − | 7.85954i | 0.325244 | − | 0.470539i | ||||
\(280\) | 8.57823 | − | 9.40199i | 0.512647 | − | 0.561876i | ||||
\(281\) | 11.2231 | − | 19.4390i | 0.669514 | − | 1.15963i | −0.308527 | − | 0.951216i | \(-0.599836\pi\) |
0.978040 | − | 0.208416i | \(-0.0668308\pi\) | |||||||
\(282\) | −8.45479 | − | 3.36327i | −0.503476 | − | 0.200280i | ||||
\(283\) | 2.96727 | − | 11.0740i | 0.176386 | − | 0.658280i | −0.819926 | − | 0.572470i | \(-0.805985\pi\) |
0.996311 | − | 0.0858104i | \(-0.0273479\pi\) | |||||||
\(284\) | 26.1076 | + | 4.00990i | 1.54920 | + | 0.237944i | ||||
\(285\) | 1.78102 | + | 7.47908i | 0.105499 | + | 0.443022i | ||||
\(286\) | 0.0358368 | − | 0.469388i | 0.00211908 | − | 0.0277555i | ||||
\(287\) | 5.40289 | + | 5.40289i | 0.318923 | + | 0.318923i | ||||
\(288\) | −11.2412 | + | 12.7136i | −0.662393 | + | 0.749157i | ||||
\(289\) | − | 27.8450i | − | 1.63794i | ||||||
\(290\) | 0.342116 | − | 0.0687036i | 0.0200898 | − | 0.00403441i | ||||
\(291\) | 11.8981 | − | 6.23964i | 0.697479 | − | 0.365774i | ||||
\(292\) | 21.5525 | − | 15.8134i | 1.26126 | − | 0.925409i | ||||
\(293\) | 8.67781 | + | 2.32521i | 0.506963 | + | 0.135840i | 0.503230 | − | 0.864153i | \(-0.332145\pi\) |
0.00373326 | + | 0.999993i | \(0.498812\pi\) | |||||||
\(294\) | 7.17776 | + | 0.842226i | 0.418616 | + | 0.0491196i | ||||
\(295\) | 6.83724 | + | 11.5056i | 0.398079 | + | 0.669882i | ||||
\(296\) | 2.32374 | − | 9.98736i | 0.135064 | − | 0.580504i | ||||
\(297\) | −6.79697 | + | 0.957756i | −0.394400 | + | 0.0555746i | ||||
\(298\) | 3.50443 | + | 1.23176i | 0.203006 | + | 0.0713541i | ||||
\(299\) | −1.57122 | − | 0.907144i | −0.0908660 | − | 0.0524615i | ||||
\(300\) | −17.2441 | + | 1.62509i | −0.995589 | + | 0.0938249i | ||||
\(301\) | −2.99270 | + | 1.72783i | −0.172496 | + | 0.0995907i | ||||
\(302\) | 4.51743 | − | 0.848193i | 0.259949 | − | 0.0488080i | ||||
\(303\) | −7.58488 | + | 24.3127i | −0.435740 | + | 1.39673i | ||||
\(304\) | −2.38293 | + | 7.57436i | −0.136670 | + | 0.434419i | ||||
\(305\) | −9.98068 | + | 17.8007i | −0.571492 | + | 1.01926i | ||||
\(306\) | 10.1730 | + | 26.5277i | 0.581554 | + | 1.51649i | ||||
\(307\) | −2.70573 | + | 2.70573i | −0.154424 | + | 0.154424i | −0.780091 | − | 0.625667i | \(-0.784827\pi\) |
0.625667 | + | 0.780091i | \(0.284827\pi\) | |||||||
\(308\) | 4.86707 | + | 2.13973i | 0.277327 | + | 0.121922i | ||||
\(309\) | −0.435169 | + | 10.7115i | −0.0247559 | + | 0.609358i | ||||
\(310\) | 9.54264 | + | 3.21979i | 0.541985 | + | 0.182872i | ||||
\(311\) | 14.3079 | − | 8.26068i | 0.811327 | − | 0.468420i | −0.0360894 | − | 0.999349i | \(-0.511490\pi\) |
0.847417 | + | 0.530929i | \(0.178157\pi\) | |||||||
\(312\) | 1.07363 | − | 0.609303i | 0.0607822 | − | 0.0344950i | ||||
\(313\) | −12.4176 | + | 3.32727i | −0.701882 | + | 0.188069i | −0.592073 | − | 0.805884i | \(-0.701690\pi\) |
−0.109808 | + | 0.993953i | \(0.535024\pi\) | |||||||
\(314\) | 3.46250 | + | 7.21578i | 0.195400 | + | 0.407210i | ||||
\(315\) | 8.86846 | + | 10.1775i | 0.499681 | + | 0.573438i | ||||
\(316\) | −4.19948 | − | 3.36826i | −0.236239 | − | 0.189479i | ||||
\(317\) | −17.0599 | + | 4.57119i | −0.958179 | + | 0.256743i | −0.703830 | − | 0.710369i | \(-0.748528\pi\) |
−0.254350 | + | 0.967112i | \(0.581861\pi\) | |||||||
\(318\) | 28.8241 | − | 4.20889i | 1.61637 | − | 0.236023i | ||||
\(319\) | 0.0728839 | + | 0.126239i | 0.00408072 | + | 0.00706801i | ||||
\(320\) | −16.1493 | − | 7.69408i | −0.902775 | − | 0.430112i | ||||
\(321\) | 2.88641 | + | 1.82658i | 0.161104 | + | 0.101950i | ||||
\(322\) | 15.5498 | − | 13.3439i | 0.866559 | − | 0.743625i | ||||
\(323\) | 9.39987 | + | 9.39987i | 0.523023 | + | 0.523023i | ||||
\(324\) | −12.0356 | − | 13.3845i | −0.668642 | − | 0.743584i | ||||
\(325\) | 1.22482 | + | 0.295364i | 0.0679408 | + | 0.0163839i | ||||
\(326\) | −18.6531 | − | 1.42413i | −1.03310 | − | 0.0788753i | ||||
\(327\) | 3.31176 | + | 14.7271i | 0.183141 | + | 0.814411i | ||||
\(328\) | 5.05804 | − | 9.47372i | 0.279284 | − | 0.523099i | ||||
\(329\) | −6.47385 | + | 3.73768i | −0.356915 | + | 0.206065i | ||||
\(330\) | −2.94621 | − | 6.60841i | −0.162184 | − | 0.363781i | ||||
\(331\) | −2.40477 | + | 4.16518i | −0.132178 | + | 0.228939i | −0.924516 | − | 0.381144i | \(-0.875530\pi\) |
0.792338 | + | 0.610082i | \(0.208864\pi\) | |||||||
\(332\) | 2.43439 | + | 22.1635i | 0.133605 | + | 1.21638i | ||||
\(333\) | 10.2426 | + | 3.65787i | 0.561290 | + | 0.200450i | ||||
\(334\) | −14.4191 | − | 30.0492i | −0.788980 | − | 1.64422i | ||||
\(335\) | −6.27218 | + | 24.6445i | −0.342686 | + | 1.34647i | ||||
\(336\) | 2.47126 | + | 13.7213i | 0.134818 | + | 0.748556i | ||||
\(337\) | −21.7702 | − | 5.83331i | −1.18590 | − | 0.317761i | −0.388636 | − | 0.921392i | \(-0.627054\pi\) |
−0.797264 | + | 0.603631i | \(0.793720\pi\) | |||||||
\(338\) | 17.9808 | − | 3.37607i | 0.978025 | − | 0.183634i | ||||
\(339\) | −19.4492 | − | 0.790149i | −1.05634 | − | 0.0429150i | ||||
\(340\) | −23.9212 | + | 18.0188i | −1.29731 | + | 0.977205i | ||||
\(341\) | 4.20711i | 0.227828i | ||||||||
\(342\) | −7.69277 | − | 3.42807i | −0.415977 | − | 0.185369i | ||||
\(343\) | 14.1590 | − | 14.1590i | 0.764512 | − | 0.764512i | ||||
\(344\) | 3.54655 | + | 3.31856i | 0.191217 | + | 0.178925i | ||||
\(345\) | −27.8744 | − | 0.781242i | −1.50071 | − | 0.0420607i | ||||
\(346\) | 15.8352 | + | 10.8287i | 0.851303 | + | 0.582157i | ||||
\(347\) | −15.4801 | − | 4.14789i | −0.831017 | − | 0.222670i | −0.181860 | − | 0.983324i | \(-0.558212\pi\) |
−0.649157 | + | 0.760654i | \(0.724878\pi\) | |||||||
\(348\) | −0.167918 | + | 0.343395i | −0.00900134 | + | 0.0184079i | ||||
\(349\) | −0.583898 | + | 1.01134i | −0.0312553 | + | 0.0541358i | −0.881230 | − | 0.472688i | \(-0.843284\pi\) |
0.849975 | + | 0.526824i | \(0.176617\pi\) | |||||||
\(350\) | −7.73410 | + | 11.9442i | −0.413405 | + | 0.638442i | ||||
\(351\) | 0.512042 | + | 1.20508i | 0.0273308 | + | 0.0643227i | ||||
\(352\) | 0.888650 | − | 7.41968i | 0.0473652 | − | 0.395470i | ||||
\(353\) | −9.31553 | + | 2.49609i | −0.495816 | + | 0.132853i | −0.498057 | − | 0.867144i | \(-0.665953\pi\) |
0.00224172 | + | 0.999997i | \(0.499286\pi\) | |||||||
\(354\) | −14.5613 | − | 1.70860i | −0.773927 | − | 0.0908112i | ||||
\(355\) | −29.5291 | + | 0.371614i | −1.56724 | + | 0.0197232i | ||||
\(356\) | 32.1520 | + | 4.93827i | 1.70405 | + | 0.261728i | ||||
\(357\) | 22.2820 | + | 6.95136i | 1.17929 | + | 0.367905i | ||||
\(358\) | 16.2672 | + | 18.9565i | 0.859751 | + | 1.00188i | ||||
\(359\) | 5.86290 | 0.309432 | 0.154716 | − | 0.987959i | \(-0.450554\pi\) | ||||
0.154716 | + | 0.987959i | \(0.450554\pi\) | |||||||
\(360\) | 10.0629 | − | 16.0854i | 0.530359 | − | 0.847773i | ||||
\(361\) | 15.0594 | 0.792601 | ||||||||
\(362\) | 13.8315 | + | 16.1181i | 0.726967 | + | 0.847148i | ||||
\(363\) | −11.7857 | + | 10.8655i | −0.618591 | + | 0.570291i | ||||
\(364\) | 0.153963 | − | 1.00242i | 0.00806983 | − | 0.0525409i | ||||
\(365\) | −20.8655 | + | 21.3974i | −1.09215 | + | 1.11999i | ||||
\(366\) | −8.84538 | − | 20.5312i | −0.462356 | − | 1.07319i | ||||
\(367\) | −10.2268 | + | 2.74026i | −0.533834 | + | 0.143040i | −0.515658 | − | 0.856795i | \(-0.672452\pi\) |
−0.0181756 | + | 0.999835i | \(0.505786\pi\) | |||||||
\(368\) | −24.2993 | − | 15.4588i | −1.26669 | − | 0.805845i | ||||
\(369\) | 9.37027 | + | 6.47689i | 0.487797 | + | 0.337173i | ||||
\(370\) | −0.728834 | + | 11.4413i | −0.0378903 | + | 0.594804i | ||||
\(371\) | 11.9657 | − | 20.7251i | 0.621226 | − | 1.07599i | ||||
\(372\) | −9.15258 | + | 6.15995i | −0.474539 | + | 0.319378i | ||||
\(373\) | 16.2385 | + | 4.35110i | 0.840798 | + | 0.225291i | 0.653419 | − | 0.756996i | \(-0.273334\pi\) |
0.187379 | + | 0.982288i | \(0.440001\pi\) | |||||||
\(374\) | −10.3268 | − | 7.06188i | −0.533985 | − | 0.365161i | ||||
\(375\) | 18.7193 | − | 4.95864i | 0.966660 | − | 0.256063i | ||||
\(376\) | 7.67196 | + | 7.17875i | 0.395651 | + | 0.370216i | ||||
\(377\) | 0.0196617 | − | 0.0196617i | 0.00101263 | − | 0.00101263i | ||||
\(378\) | −14.7577 | + | 0.942633i | −0.759053 | + | 0.0484838i | ||||
\(379\) | − | 0.705705i | − | 0.0362497i | −0.999836 | − | 0.0181248i | \(-0.994230\pi\) | ||
0.999836 | − | 0.0181248i | \(-0.00576963\pi\) | |||||||
\(380\) | 1.23719 | − | 8.79096i | 0.0634666 | − | 0.450967i | ||||
\(381\) | 18.4444 | − | 29.1464i | 0.944936 | − | 1.49321i | ||||
\(382\) | 10.7038 | − | 2.00975i | 0.547655 | − | 0.102828i | ||||
\(383\) | 6.24315 | + | 1.67285i | 0.319010 | + | 0.0854785i | 0.414771 | − | 0.909926i | \(-0.363862\pi\) |
−0.0957609 | + | 0.995404i | \(0.530528\pi\) | |||||||
\(384\) | 17.4427 | − | 8.93045i | 0.890118 | − | 0.455730i | ||||
\(385\) | −5.76056 | − | 1.46610i | −0.293585 | − | 0.0747193i | ||||
\(386\) | 10.8869 | + | 22.6882i | 0.554130 | + | 1.15480i | ||||
\(387\) | −3.92627 | + | 3.33528i | −0.199584 | + | 0.169542i | ||||
\(388\) | −15.4206 | + | 1.69376i | −0.782862 | + | 0.0859877i | ||||
\(389\) | −1.44864 | + | 2.50911i | −0.0734488 | + | 0.127217i | −0.900411 | − | 0.435041i | \(-0.856734\pi\) |
0.826962 | + | 0.562258i | \(0.190067\pi\) | |||||||
\(390\) | −1.07217 | + | 0.869114i | −0.0542914 | + | 0.0440093i | ||||
\(391\) | −41.7559 | + | 24.1078i | −2.11168 | + | 1.21918i | ||||
\(392\) | −7.36152 | − | 3.93033i | −0.371813 | − | 0.198512i | ||||
\(393\) | 13.8785 | − | 12.7949i | 0.700079 | − | 0.645417i | ||||
\(394\) | 25.7233 | + | 1.96392i | 1.29592 | + | 0.0989409i | ||||
\(395\) | 5.24989 | + | 2.94357i | 0.264151 | + | 0.148107i | ||||
\(396\) | 7.71071 | + | 1.83478i | 0.387478 | + | 0.0922013i | ||||
\(397\) | 17.6468 | + | 17.6468i | 0.885669 | + | 0.885669i | 0.994104 | − | 0.108435i | \(-0.0345839\pi\) |
−0.108435 | + | 0.994104i | \(0.534584\pi\) | |||||||
\(398\) | −7.08846 | + | 6.08285i | −0.355312 | + | 0.304906i | ||||
\(399\) | −6.12756 | + | 3.21343i | −0.306762 | + | 0.160873i | ||||
\(400\) | 19.2231 | + | 5.52005i | 0.961157 | + | 0.276003i | ||||
\(401\) | 5.89944 | + | 10.2181i | 0.294604 | + | 0.510269i | 0.974893 | − | 0.222675i | \(-0.0714790\pi\) |
−0.680289 | + | 0.732944i | \(0.738146\pi\) | |||||||
\(402\) | −17.2683 | − | 21.8594i | −0.861263 | − | 1.09025i | ||||
\(403\) | 0.775177 | − | 0.207708i | 0.0386143 | − | 0.0103467i | ||||
\(404\) | 18.4002 | − | 22.9410i | 0.915442 | − | 1.14136i | ||||
\(405\) | 15.7311 | + | 12.5511i | 0.781687 | + | 0.623671i | ||||
\(406\) | 0.135859 | + | 0.283127i | 0.00674256 | + | 0.0140514i | ||||
\(407\) | −4.62594 | + | 1.23952i | −0.229300 | + | 0.0614406i | ||||
\(408\) | 0.242934 | − | 32.8058i | 0.0120270 | − | 1.62413i | ||||
\(409\) | −2.02564 | + | 1.16950i | −0.100161 | + | 0.0578281i | −0.549244 | − | 0.835662i | \(-0.685084\pi\) |
0.449083 | + | 0.893490i | \(0.351751\pi\) | |||||||
\(410\) | −3.83868 | + | 11.3769i | −0.189579 | + | 0.561864i | ||||
\(411\) | −25.9576 | + | 13.6128i | −1.28039 | + | 0.671469i | ||||
\(412\) | 4.98195 | − | 11.3320i | 0.245443 | − | 0.558290i | ||||
\(413\) | −8.51698 | + | 8.51698i | −0.419093 | + | 0.419093i | ||||
\(414\) | 19.2315 | − | 23.7330i | 0.945179 | − | 1.16642i | ||||
\(415\) | −6.75450 | − | 23.9961i | −0.331565 | − | 1.17792i | ||||
\(416\) | −1.41098 | + | 0.202578i | −0.0691790 | + | 0.00993218i | ||||
\(417\) | 15.8118 | + | 17.1509i | 0.774306 | + | 0.839885i | ||||
\(418\) | 3.64481 | − | 0.684349i | 0.178273 | − | 0.0334726i | ||||
\(419\) | −6.68840 | + | 3.86155i | −0.326750 | + | 0.188649i | −0.654397 | − | 0.756151i | \(-0.727078\pi\) |
0.327647 | + | 0.944800i | \(0.393744\pi\) | |||||||
\(420\) | −5.24497 | − | 14.6787i | −0.255928 | − | 0.716249i | ||||
\(421\) | 7.20368 | + | 4.15905i | 0.351086 | + | 0.202700i | 0.665163 | − | 0.746698i | \(-0.268362\pi\) |
−0.314078 | + | 0.949397i | \(0.601695\pi\) | |||||||
\(422\) | −3.07631 | − | 1.08129i | −0.149753 | − | 0.0526362i | ||||
\(423\) | −8.49338 | + | 7.21493i | −0.412962 | + | 0.350802i | ||||
\(424\) | −32.7611 | − | 7.62244i | −1.59102 | − | 0.370179i | ||||
\(425\) | 23.0729 | − | 24.2645i | 1.11920 | − | 1.17700i | ||||
\(426\) | 19.3298 | − | 25.9401i | 0.936531 | − | 1.25680i | ||||
\(427\) | −17.7403 | − | 4.75349i | −0.858511 | − | 0.230037i | ||||
\(428\) | −2.33327 | − | 3.18007i | −0.112783 | − | 0.153715i | ||||
\(429\) | −0.487197 | − | 0.308308i | −0.0235221 | − | 0.0148852i | ||||
\(430\) | −4.52068 | − | 3.00865i | −0.218007 | − | 0.145090i | ||||
\(431\) | − | 19.8626i | − | 0.956749i | −0.878156 | − | 0.478375i | \(-0.841226\pi\) | ||
0.878156 | − | 0.478375i | \(-0.158774\pi\) | |||||||
\(432\) | 7.29826 | + | 19.4611i | 0.351137 | + | 0.936324i | ||||
\(433\) | 1.10504 | + | 1.10504i | 0.0531050 | + | 0.0531050i | 0.733161 | − | 0.680056i | \(-0.238044\pi\) |
−0.680056 | + | 0.733161i | \(0.738044\pi\) | |||||||
\(434\) | −0.689981 | + | 9.03731i | −0.0331201 | + | 0.433805i | ||||
\(435\) | 0.122134 | − | 0.409547i | 0.00585586 | − | 0.0196363i | ||||
\(436\) | 2.64608 | − | 17.2280i | 0.126724 | − | 0.825073i | ||||
\(437\) | 3.69919 | − | 13.8055i | 0.176956 | − | 0.660409i | ||||
\(438\) | −4.73042 | − | 32.3957i | −0.226028 | − | 1.54793i | ||||
\(439\) | −2.98308 | + | 5.16684i | −0.142374 | + | 0.246600i | −0.928390 | − | 0.371607i | \(-0.878807\pi\) |
0.786016 | + | 0.618206i | \(0.212140\pi\) | |||||||
\(440\) | 0.382370 | + | 8.34598i | 0.0182288 | + | 0.397879i | ||||
\(441\) | 5.03284 | − | 7.28114i | 0.239659 | − | 0.346721i | ||||
\(442\) | −0.791340 | + | 2.25140i | −0.0376402 | + | 0.107088i | ||||
\(443\) | −24.7333 | + | 6.62726i | −1.17511 | + | 0.314871i | −0.792986 | − | 0.609239i | \(-0.791475\pi\) |
−0.382127 | + | 0.924110i | \(0.624808\pi\) | |||||||
\(444\) | −9.46977 | − | 8.24889i | −0.449416 | − | 0.391475i | ||||
\(445\) | −36.3657 | + | 0.457650i | −1.72390 | + | 0.0216947i | ||||
\(446\) | −15.9679 | − | 10.9195i | −0.756101 | − | 0.517054i | ||||
\(447\) | 3.34487 | − | 3.08370i | 0.158207 | − | 0.145854i | ||||
\(448\) | 3.12577 | − | 15.7925i | 0.147679 | − | 0.746126i | ||||
\(449\) | − | 22.4854i | − | 1.06115i | −0.847638 | − | 0.530575i | \(-0.821976\pi\) | ||
0.847638 | − | 0.530575i | \(-0.178024\pi\) | |||||||
\(450\) | −8.14420 | + | 19.5875i | −0.383921 | + | 0.923366i | ||||
\(451\) | −5.01578 | −0.236184 | ||||||||
\(452\) | 20.5759 | + | 9.04586i | 0.967810 | + | 0.425481i | ||||
\(453\) | 1.67652 | − | 5.37394i | 0.0787696 | − | 0.252490i | ||||
\(454\) | −23.7277 | − | 16.2260i | −1.11360 | − | 0.761525i | ||||
\(455\) | 0.0142684 | + | 1.13379i | 0.000668911 | + | 0.0531529i | ||||
\(456\) | 6.82544 | + | 6.92728i | 0.319631 | + | 0.324400i | ||||
\(457\) | −0.558443 | − | 2.08414i | −0.0261229 | − | 0.0974919i | 0.951634 | − | 0.307235i | \(-0.0994038\pi\) |
−0.977756 | + | 0.209743i | \(0.932737\pi\) | |||||||
\(458\) | −14.7868 | − | 5.19738i | −0.690942 | − | 0.242858i | ||||
\(459\) | 34.5389 | + | 4.22818i | 1.61214 | + | 0.197355i | ||||
\(460\) | 29.6371 | + | 12.5869i | 1.38184 | + | 0.586865i | ||||
\(461\) | 17.5506 | + | 10.1329i | 0.817414 | + | 0.471934i | 0.849524 | − | 0.527550i | \(-0.176889\pi\) |
−0.0321098 | + | 0.999484i | \(0.510223\pi\) | |||||||
\(462\) | 5.10957 | − | 4.03640i | 0.237719 | − | 0.187790i | ||||
\(463\) | −32.6266 | − | 8.74228i | −1.51629 | − | 0.406288i | −0.597770 | − | 0.801667i | \(-0.703946\pi\) |
−0.918518 | + | 0.395379i | \(0.870613\pi\) | |||||||
\(464\) | 0.325236 | − | 0.298402i | 0.0150987 | − | 0.0138530i | ||||
\(465\) | 8.96284 | − | 8.47413i | 0.415642 | − | 0.392978i | ||||
\(466\) | 19.0604 | + | 1.45523i | 0.882957 | + | 0.0674120i | ||||
\(467\) | 21.4579 | − | 21.4579i | 0.992952 | − | 0.992952i | −0.00702358 | − | 0.999975i | \(-0.502236\pi\) |
0.999975 | + | 0.00702358i | \(0.00223569\pi\) | |||||||
\(468\) | −0.0426170 | − | 1.51131i | −0.00196997 | − | 0.0698605i | ||||
\(469\) | −22.8859 | −1.05677 | ||||||||
\(470\) | −9.77922 | − | 6.50836i | −0.451082 | − | 0.300208i | ||||
\(471\) | 9.79420 | + | 0.397902i | 0.451293 | + | 0.0183343i | ||||
\(472\) | 14.9341 | + | 7.97336i | 0.687399 | + | 0.367004i | ||||
\(473\) | 0.587119 | − | 2.19116i | 0.0269957 | − | 0.100749i | ||||
\(474\) | −6.05522 | + | 2.60874i | −0.278125 | + | 0.119824i | ||||
\(475\) | 0.249777 | + | 9.92230i | 0.0114606 | + | 0.455266i | ||||
\(476\) | −21.0248 | − | 16.8633i | −0.963672 | − | 0.772928i | ||||
\(477\) | 11.9987 | − | 33.5983i | 0.549385 | − | 1.53836i | ||||
\(478\) | 38.8043 | + | 13.6392i | 1.77487 | + | 0.623844i | ||||
\(479\) | −9.57868 | + | 16.5908i | −0.437661 | + | 0.758051i | −0.997509 | − | 0.0705445i | \(-0.977526\pi\) |
0.559848 | + | 0.828596i | \(0.310860\pi\) | |||||||
\(480\) | −17.5969 | + | 13.0518i | −0.803183 | + | 0.595732i | ||||
\(481\) | 0.456773 | + | 0.791153i | 0.0208270 | + | 0.0360735i | ||||
\(482\) | −1.09928 | − | 5.85468i | −0.0500707 | − | 0.266674i | ||||
\(483\) | −5.50586 | − | 24.4841i | −0.250525 | − | 1.11406i | ||||
\(484\) | 17.2493 | − | 6.71415i | 0.784058 | − | 0.305189i | ||||
\(485\) | 16.6956 | − | 4.69954i | 0.758109 | − | 0.213395i | ||||
\(486\) | −21.3904 | + | 5.33397i | −0.970288 | + | 0.241954i | ||||
\(487\) | 12.0743 | + | 12.0743i | 0.547137 | + | 0.547137i | 0.925612 | − | 0.378475i | \(-0.123551\pi\) |
−0.378475 | + | 0.925612i | \(0.623551\pi\) | |||||||
\(488\) | 0.856838 | + | 25.7998i | 0.0387872 | + | 1.16790i | ||||
\(489\) | −12.2519 | + | 19.3608i | −0.554051 | + | 0.875528i | ||||
\(490\) | 8.84037 | + | 2.98283i | 0.399367 | + | 0.134751i | ||||
\(491\) | −3.11268 | − | 5.39133i | −0.140473 | − | 0.243307i | 0.787202 | − | 0.616696i | \(-0.211529\pi\) |
−0.927675 | + | 0.373389i | \(0.878196\pi\) | |||||||
\(492\) | −7.34399 | − | 10.9119i | −0.331093 | − | 0.491945i | ||||
\(493\) | −0.191255 | − | 0.713772i | −0.00861368 | − | 0.0321467i | ||||
\(494\) | −0.306041 | − | 0.637784i | −0.0137694 | − | 0.0286952i | ||||
\(495\) | −8.84068 | − | 0.607636i | −0.397359 | − | 0.0273112i | ||||
\(496\) | 12.4355 | − | 2.76512i | 0.558368 | − | 0.124157i | ||||
\(497\) | −6.87862 | − | 25.6714i | −0.308548 | − | 1.15152i | ||||
\(498\) | 25.3740 | + | 10.0937i | 1.13704 | + | 0.452307i | ||||
\(499\) | 1.67316 | − | 0.965997i | 0.0749007 | − | 0.0432440i | −0.462082 | − | 0.886837i | \(-0.652897\pi\) |
0.536983 | + | 0.843593i | \(0.319564\pi\) | |||||||
\(500\) | −22.2139 | − | 2.55800i | −0.993435 | − | 0.114397i | ||||
\(501\) | −40.7867 | − | 1.65701i | −1.82222 | − | 0.0740298i | ||||
\(502\) | −31.2324 | + | 26.8016i | −1.39397 | + | 1.19621i | ||||
\(503\) | 7.62368 | − | 7.62368i | 0.339923 | − | 0.339923i | −0.516415 | − | 0.856338i | \(-0.672734\pi\) |
0.856338 | + | 0.516415i | \(0.172734\pi\) | |||||||
\(504\) | 16.2625 | + | 5.20589i | 0.724389 | + | 0.231889i | ||||
\(505\) | −16.0802 | + | 28.6792i | −0.715558 | + | 1.27621i | ||||
\(506\) | −1.02396 | + | 13.4118i | −0.0455206 | + | 0.596225i | ||||
\(507\) | 6.67305 | − | 21.3899i | 0.296361 | − | 0.949961i | ||||
\(508\) | −32.1117 | + | 23.5609i | −1.42473 | + | 1.04535i | ||||
\(509\) | 2.00222 | + | 3.46795i | 0.0887470 | + | 0.153714i | 0.906982 | − | 0.421170i | \(-0.138380\pi\) |
−0.818235 | + | 0.574884i | \(0.805047\pi\) | |||||||
\(510\) | 5.75596 | + | 36.2245i | 0.254878 | + | 1.60405i | ||||
\(511\) | −23.2932 | − | 13.4483i | −1.03043 | − | 0.594919i | ||||
\(512\) | −22.5153 | + | 2.24989i | −0.995044 | + | 0.0994319i | ||||
\(513\) | −8.12590 | + | 6.35338i | −0.358767 | + | 0.280508i | ||||
\(514\) | −18.2793 | + | 8.77132i | −0.806264 | + | 0.386886i | ||||
\(515\) | −3.41353 | + | 13.4124i | −0.150418 | + | 0.591020i | ||||
\(516\) | 5.62651 | − | 1.93096i | 0.247693 | − | 0.0850057i | ||||
\(517\) | 1.27006 | − | 4.73995i | 0.0558574 | − | 0.208463i | ||||
\(518\) | −10.1403 | + | 1.90394i | −0.445539 | + | 0.0836545i | ||||
\(519\) | 20.8075 | − | 10.9119i | 0.913347 | − | 0.478980i | ||||
\(520\) | 1.51890 | − | 0.482501i | 0.0666083 | − | 0.0211591i | ||||
\(521\) | 2.56116 | 0.112206 | 0.0561032 | − | 0.998425i | \(-0.482132\pi\) | ||||
0.0561032 | + | 0.998425i | \(0.482132\pi\) | |||||||
\(522\) | 0.275054 | + | 0.378841i | 0.0120388 | + | 0.0165814i | ||||
\(523\) | −5.64399 | − | 5.64399i | −0.246795 | − | 0.246795i | 0.572859 | − | 0.819654i | \(-0.305834\pi\) |
−0.819654 | + | 0.572859i | \(0.805834\pi\) | |||||||
\(524\) | −20.3122 | + | 7.90638i | −0.887343 | + | 0.345392i | ||||
\(525\) | 8.47977 | + | 15.2254i | 0.370088 | + | 0.664491i | ||||
\(526\) | 16.2576 | + | 11.1176i | 0.708866 | + | 0.484752i | ||||
\(527\) | 5.51994 | − | 20.6007i | 0.240452 | − | 0.897380i | ||||
\(528\) | −7.51618 | − | 5.22198i | −0.327100 | − | 0.227257i | ||||
\(529\) | 24.9757 | + | 14.4197i | 1.08590 | + | 0.626943i | ||||
\(530\) | 37.5303 | + | 2.39076i | 1.63021 | + | 0.103848i | ||||
\(531\) | −10.2100 | + | 14.7711i | −0.443076 | + | 0.641009i | ||||
\(532\) | 7.94166 | − | 0.872292i | 0.344315 | − | 0.0378187i | ||||
\(533\) | 0.247633 | + | 0.924179i | 0.0107262 | + | 0.0400306i | ||||
\(534\) | 23.8050 | − | 31.9458i | 1.03014 | − | 1.38243i | ||||
\(535\) | 3.15719 | + | 3.07871i | 0.136497 | + | 0.133104i | ||||
\(536\) | 9.35212 | + | 30.7773i | 0.403950 | + | 1.32938i | ||||
\(537\) | 29.8481 | − | 6.71208i | 1.28804 | − | 0.289648i | ||||
\(538\) | −12.7801 | + | 10.9671i | −0.550991 | + | 0.472825i | ||||
\(539\) | 3.89750i | 0.167877i | ||||||||
\(540\) | −11.6224 | − | 20.1226i | −0.500148 | − | 0.865940i | ||||
\(541\) | 32.8804i | 1.41364i | 0.707393 | + | 0.706820i | \(0.249871\pi\) | ||||
−0.707393 | + | 0.706820i | \(0.750129\pi\) | |||||||
\(542\) | −18.3145 | − | 21.3422i | −0.786675 | − | 0.916726i | ||||
\(543\) | 25.3788 | − | 5.70706i | 1.08911 | − | 0.244913i | ||||
\(544\) | −14.0864 | + | 35.1655i | −0.603949 | + | 1.50771i | ||||
\(545\) | 0.245223 | + | 19.4859i | 0.0105042 | + | 0.834682i | ||||
\(546\) | −0.995986 | − | 0.742179i | −0.0426243 | − | 0.0317623i | ||||
\(547\) | −5.98385 | − | 22.3320i | −0.255851 | − | 0.954849i | −0.967615 | − | 0.252430i | \(-0.918770\pi\) |
0.711764 | − | 0.702418i | \(-0.247896\pi\) | |||||||
\(548\) | 33.6425 | − | 3.69521i | 1.43714 | − | 0.157852i | ||||
\(549\) | −27.2897 | − | 2.22102i | −1.16469 | − | 0.0947908i | ||||
\(550\) | −1.95421 | − | 9.13417i | −0.0833277 | − | 0.389482i | ||||
\(551\) | 0.189701 | + | 0.109524i | 0.00808153 | + | 0.00466588i | ||||
\(552\) | −30.6766 | + | 17.4095i | −1.30568 | + | 0.740999i | ||||
\(553\) | −1.40193 | + | 5.23208i | −0.0596162 | + | 0.222491i | ||||
\(554\) | 0.906341 | − | 1.32537i | 0.0385067 | − | 0.0563094i | ||||
\(555\) | 11.9584 | + | 7.35844i | 0.507608 | + | 0.312348i | ||||
\(556\) | −9.77061 | − | 25.1016i | −0.414366 | − | 1.06455i | ||||
\(557\) | −32.9080 | − | 32.9080i | −1.39436 | − | 1.39436i | −0.815260 | − | 0.579095i | \(-0.803406\pi\) |
−0.579095 | − | 0.815260i | \(-0.696594\pi\) | |||||||
\(558\) | 1.40797 | + | 13.4384i | 0.0596040 | + | 0.568892i | ||||
\(559\) | −0.432716 | −0.0183019 | ||||||||
\(560\) | −0.547400 | + | 17.9908i | −0.0231319 | + | 0.760248i | ||||
\(561\) | −13.5694 | + | 7.11613i | −0.572902 | + | 0.300443i | ||||
\(562\) | 5.85784 | + | 31.1985i | 0.247098 | + | 1.31603i | ||||
\(563\) | −0.277375 | + | 1.03518i | −0.0116900 | + | 0.0436276i | −0.971524 | − | 0.236939i | \(-0.923856\pi\) |
0.959834 | + | 0.280567i | \(0.0905224\pi\) | |||||||
\(564\) | 12.1714 | − | 4.17708i | 0.512507 | − | 0.175887i | ||||
\(565\) | −24.3532 | − | 6.19805i | −1.02455 | − | 0.260754i | ||||
\(566\) | 7.01429 | + | 14.6176i | 0.294832 | + | 0.614425i | ||||
\(567\) | −7.45468 | + | 16.5059i | −0.313067 | + | 0.693182i | ||||
\(568\) | −31.7123 | + | 19.7408i | −1.33062 | + | 0.828307i | ||||
\(569\) | 3.51094 | + | 2.02704i | 0.147186 | + | 0.0849781i | 0.571785 | − | 0.820404i | \(-0.306251\pi\) |
−0.424598 | + | 0.905382i | \(0.639585\pi\) | |||||||
\(570\) | −8.79946 | − | 6.38646i | −0.368569 | − | 0.267500i | ||||
\(571\) | 0.902766 | + | 1.56364i | 0.0377796 | + | 0.0654362i | 0.884297 | − | 0.466925i | \(-0.154638\pi\) |
−0.846517 | + | 0.532361i | \(0.821305\pi\) | |||||||
\(572\) | 0.393832 | + | 0.536763i | 0.0164669 | + | 0.0224432i | ||||
\(573\) | 3.97242 | − | 12.7333i | 0.165950 | − | 0.531940i | ||||
\(574\) | −10.7744 | − | 0.822606i | −0.449716 | − | 0.0343349i | ||||
\(575\) | −34.9966 | − | 8.43940i | −1.45946 | − | 0.351947i | ||||
\(576\) | 0.355431 | − | 23.9974i | 0.0148096 | − | 0.999890i | ||||
\(577\) | −18.1272 | + | 18.1272i | −0.754644 | + | 0.754644i | −0.975342 | − | 0.220698i | \(-0.929166\pi\) |
0.220698 | + | 0.975342i | \(0.429166\pi\) | |||||||
\(578\) | 25.6444 | + | 29.8839i | 1.06667 | + | 1.24301i | ||||
\(579\) | 30.7953 | + | 1.25110i | 1.27981 | + | 0.0519939i | ||||
\(580\) | −0.303894 | + | 0.388814i | −0.0126185 | + | 0.0161446i | ||||
\(581\) | 19.4290 | − | 11.2173i | 0.806049 | − | 0.465372i | ||||
\(582\) | −7.02280 | + | 17.6543i | −0.291104 | + | 0.731796i | ||||
\(583\) | 4.06593 | + | 15.1743i | 0.168394 | + | 0.628454i | ||||
\(584\) | −8.56695 | + | 36.8205i | −0.354503 | + | 1.52365i | ||||
\(585\) | 0.324512 | + | 1.65893i | 0.0134169 | + | 0.0685884i | ||||
\(586\) | −11.4547 | + | 5.49654i | −0.473189 | + | 0.227060i | ||||
\(587\) | 4.75315 | + | 17.7390i | 0.196183 | + | 0.732166i | 0.991957 | + | 0.126573i | \(0.0403977\pi\) |
−0.795774 | + | 0.605594i | \(0.792936\pi\) | |||||||
\(588\) | −8.47902 | + | 5.70662i | −0.349669 | + | 0.235337i | ||||
\(589\) | 3.16105 | + | 5.47509i | 0.130249 | + | 0.225597i | ||||
\(590\) | −17.9342 | − | 6.05120i | −0.738340 | − | 0.249124i | ||||
\(591\) | 16.8958 | − | 26.6992i | 0.695000 | − | 1.09826i | ||||
\(592\) | 6.70419 | + | 12.8588i | 0.275540 | + | 0.528493i | ||||
\(593\) | 6.27001 | + | 6.27001i | 0.257478 | + | 0.257478i | 0.824028 | − | 0.566549i | \(-0.191722\pi\) |
−0.566549 | + | 0.824028i | \(0.691722\pi\) | |||||||
\(594\) | 6.41261 | − | 7.28770i | 0.263113 | − | 0.299018i | ||||
\(595\) | 26.2838 | + | 14.7371i | 1.07753 | + | 0.604162i | ||||
\(596\) | −4.89546 | + | 1.90552i | −0.200526 | + | 0.0780531i | ||||
\(597\) | 2.50987 | + | 11.1612i | 0.102722 | + | 0.456796i | ||||
\(598\) | 2.52173 | − | 0.473479i | 0.103121 | − | 0.0193620i | ||||
\(599\) | 2.03465 | + | 3.52412i | 0.0831336 | + | 0.143992i | 0.904594 | − | 0.426273i | \(-0.140174\pi\) |
−0.821461 | + | 0.570265i | \(0.806841\pi\) | |||||||
\(600\) | 17.0101 | − | 17.6254i | 0.694436 | − | 0.719555i | ||||
\(601\) | −0.616995 | + | 1.06867i | −0.0251678 | + | 0.0435918i | −0.878335 | − | 0.478046i | \(-0.841345\pi\) |
0.853167 | + | 0.521638i | \(0.174679\pi\) | |||||||
\(602\) | 1.62055 | − | 4.61054i | 0.0660487 | − | 0.187912i | ||||
\(603\) | −33.5632 | + | 6.12800i | −1.36680 | + | 0.249551i | ||||
\(604\) | −4.06706 | + | 5.07073i | −0.165486 | + | 0.206325i | ||||
\(605\) | −17.7905 | + | 10.5721i | −0.723288 | + | 0.429816i | ||||
\(606\) | −14.2511 | − | 33.0785i | −0.578910 | − | 1.34372i | ||||
\(607\) | 6.00311 | − | 22.4039i | 0.243659 | − | 0.909346i | −0.730394 | − | 0.683026i | \(-0.760664\pi\) |
0.974053 | − | 0.226320i | \(-0.0726696\pi\) | |||||||
\(608\) | −4.41836 | − | 10.3236i | −0.179188 | − | 0.418677i | ||||
\(609\) | 0.384297 | + | 0.0156125i | 0.0155725 | + | 0.000632652i | ||||
\(610\) | −5.68239 | − | 28.2960i | −0.230073 | − | 1.14567i | ||||
\(611\) | −0.936059 | −0.0378689 | ||||||||
\(612\) | −35.3492 | − | 19.1011i | −1.42891 | − | 0.772116i | ||||
\(613\) | 13.3544 | − | 13.3544i | 0.539381 | − | 0.539381i | −0.383966 | − | 0.923347i | \(-0.625442\pi\) |
0.923347 | + | 0.383966i | \(0.125442\pi\) | |||||||
\(614\) | 0.411955 | − | 5.39575i | 0.0166251 | − | 0.217755i | ||||
\(615\) | 10.1030 | + | 10.6856i | 0.407392 | + | 0.430887i | ||||
\(616\) | −7.19408 | + | 2.18603i | −0.289858 | + | 0.0880775i | ||||
\(617\) | 23.2851 | + | 6.23923i | 0.937424 | + | 0.251182i | 0.695017 | − | 0.718993i | \(-0.255397\pi\) |
0.242406 | + | 0.970175i | \(0.422063\pi\) | |||||||
\(618\) | −9.39798 | − | 11.8967i | −0.378042 | − | 0.478554i | ||||
\(619\) | −8.68281 | − | 5.01302i | −0.348991 | − | 0.201490i | 0.315250 | − | 0.949009i | \(-0.397912\pi\) |
−0.664241 | + | 0.747519i | \(0.731245\pi\) | |||||||
\(620\) | −13.2067 | + | 5.33294i | −0.530395 | + | 0.214176i | ||||
\(621\) | −14.6305 | − | 34.4327i | −0.587102 | − | 1.38174i | ||||
\(622\) | −7.74775 | + | 22.0427i | −0.310657 | + | 0.883833i | ||||
\(623\) | −8.47117 | − | 31.6148i | −0.339390 | − | 1.26662i | ||||
\(624\) | −0.591092 | + | 1.64270i | −0.0236626 | + | 0.0657606i | ||||
\(625\) | 24.9683 | − | 1.25787i | 0.998733 | − | 0.0503147i | ||||
\(626\) | 10.2625 | − | 15.0071i | 0.410172 | − | 0.599805i | ||||
\(627\) | 1.35267 | − | 4.33586i | 0.0540203 | − | 0.173158i | ||||
\(628\) | −10.3616 | − | 4.55529i | −0.413472 | − | 0.181776i | ||||
\(629\) | 24.2779 | 0.968022 | ||||||||
\(630\) | −18.8911 | − | 2.75517i | −0.752638 | − | 0.109769i | ||||
\(631\) | 17.6619i | 0.703110i | 0.936167 | + | 0.351555i | \(0.114347\pi\) | ||||
−0.936167 | + | 0.351555i | \(0.885653\pi\) | |||||||
\(632\) | 7.60906 | − | 0.252705i | 0.302672 | − | 0.0100521i | ||||
\(633\) | −2.93625 | + | 2.70699i | −0.116705 | + | 0.107593i | ||||
\(634\) | 14.0992 | − | 20.6176i | 0.559950 | − | 0.818829i | ||||
\(635\) | 31.0882 | − | 31.8806i | 1.23370 | − | 1.26514i | ||||
\(636\) | −27.0584 | + | 31.0632i | −1.07294 | + | 1.23174i | ||||
\(637\) | 0.718130 | − | 0.192422i | 0.0284533 | − | 0.00762405i | ||||
\(638\) | −0.194483 | − | 0.0683584i | −0.00769966 | − | 0.00270634i | ||||
\(639\) | −16.9616 | − | 35.8064i | −0.670992 | − | 1.41648i | ||||
\(640\) | 24.4179 | − | 6.61561i | 0.965202 | − | 0.261505i | ||||
\(641\) | 5.76308 | − | 9.98194i | 0.227628 | − | 0.394263i | −0.729477 | − | 0.684006i | \(-0.760236\pi\) |
0.957105 | + | 0.289743i | \(0.0935697\pi\) | |||||||
\(642\) | −4.78000 | + | 0.697975i | −0.188651 | + | 0.0275469i | ||||
\(643\) | 11.4755 | − | 42.8272i | 0.452550 | − | 1.68894i | −0.242641 | − | 0.970116i | \(-0.578014\pi\) |
0.695191 | − | 0.718825i | \(-0.255320\pi\) | |||||||
\(644\) | −4.39915 | + | 28.6419i | −0.173351 | + | 1.12865i | ||||
\(645\) | −5.85065 | + | 3.16272i | −0.230369 | + | 0.124532i | ||||
\(646\) | −18.7452 | − | 1.43116i | −0.737519 | − | 0.0563081i | ||||
\(647\) | 33.6355 | + | 33.6355i | 1.32235 | + | 1.32235i | 0.911872 | + | 0.410475i | \(0.134637\pi\) |
0.410475 | + | 0.911872i | \(0.365363\pi\) | |||||||
\(648\) | 25.2436 | + | 3.28018i | 0.991663 | + | 0.128858i | ||||
\(649\) | − | 7.90675i | − | 0.310367i | ||||||
\(650\) | −1.58653 | + | 0.811032i | −0.0622288 | + | 0.0318113i | ||||
\(651\) | 9.38019 | + | 5.93597i | 0.367639 | + | 0.232649i | ||||
\(652\) | 21.3306 | − | 15.6506i | 0.835371 | − | 0.612925i | ||||
\(653\) | −24.2446 | − | 6.49633i | −0.948766 | − | 0.254221i | −0.248928 | − | 0.968522i | \(-0.580078\pi\) |
−0.699839 | + | 0.714301i | \(0.746745\pi\) | |||||||
\(654\) | −17.1175 | − | 12.7555i | −0.669347 | − | 0.498778i | ||||
\(655\) | 20.9496 | − | 12.4493i | 0.818568 | − | 0.486436i | ||||
\(656\) | 3.29662 | + | 14.8257i | 0.128711 | + | 0.578848i | ||||
\(657\) | −37.7615 | − | 13.4855i | −1.47322 | − | 0.526121i | ||||
\(658\) | 3.50560 | − | 9.97360i | 0.136663 | − | 0.388812i | ||||
\(659\) | 11.0808 | + | 6.39752i | 0.431648 | + | 0.249212i | 0.700048 | − | 0.714095i | \(-0.253162\pi\) |
−0.268401 | + | 0.963307i | \(0.586495\pi\) | |||||||
\(660\) | 9.24810 | + | 4.37893i | 0.359982 | + | 0.170450i | ||||
\(661\) | −18.0929 | + | 10.4459i | −0.703732 | + | 0.406300i | −0.808736 | − | 0.588172i | \(-0.799848\pi\) |
0.105004 | + | 0.994472i | \(0.466514\pi\) | |||||||
\(662\) | −1.25516 | − | 6.68490i | −0.0487831 | − | 0.259816i | ||||
\(663\) | 1.98111 | + | 2.14890i | 0.0769399 | + | 0.0834562i | ||||
\(664\) | −23.0246 | − | 21.5445i | −0.893530 | − | 0.836087i | ||||
\(665\) | −8.59830 | + | 2.42028i | −0.333428 | + | 0.0938543i | ||||
\(666\) | −14.3614 | + | 5.50741i | −0.556493 | + | 0.213408i | ||||
\(667\) | −0.561790 | + | 0.561790i | −0.0217526 | + | 0.0217526i | ||||
\(668\) | 43.1495 | + | 18.9699i | 1.66950 | + | 0.733969i | ||||
\(669\) | −20.9819 | + | 11.0034i | −0.811206 | + | 0.425416i | ||||
\(670\) | −15.9654 | − | 32.2256i | −0.616798 | − | 1.24498i | ||||
\(671\) | 10.4410 | − | 6.02814i | 0.403072 | − | 0.232714i | ||||
\(672\) | −15.2891 | − | 12.4500i | −0.589790 | − | 0.480271i | ||||
\(673\) | 14.0287 | − | 3.75898i | 0.540767 | − | 0.144898i | 0.0219111 | − | 0.999760i | \(-0.493025\pi\) |
0.518855 | + | 0.854862i | \(0.326358\pi\) | |||||||
\(674\) | 28.7367 | − | 13.7893i | 1.10689 | − | 0.531144i | ||||
\(675\) | 16.5127 | + | 20.0581i | 0.635576 | + | 0.772038i | ||||
\(676\) | −16.1881 | + | 20.1831i | −0.622621 | + | 0.776272i | ||||
\(677\) | 34.5042 | − | 9.24538i | 1.32611 | − | 0.355329i | 0.474844 | − | 0.880070i | \(-0.342505\pi\) |
0.851262 | + | 0.524741i | \(0.175838\pi\) | |||||||
\(678\) | 21.6011 | − | 17.0642i | 0.829585 | − | 0.655346i | ||||
\(679\) | 7.80460 | + | 13.5180i | 0.299513 | + | 0.518772i | ||||
\(680\) | 9.07802 | − | 41.3689i | 0.348126 | − | 1.58643i | ||||
\(681\) | −31.1784 | + | 16.3507i | −1.19476 | + | 0.626559i | ||||
\(682\) | −3.87463 | − | 4.51517i | −0.148367 | − | 0.172895i | ||||
\(683\) | 8.67115 | + | 8.67115i | 0.331792 | + | 0.331792i | 0.853267 | − | 0.521475i | \(-0.174618\pi\) |
−0.521475 | + | 0.853267i | \(0.674618\pi\) | |||||||
\(684\) | 11.4132 | − | 3.40574i | 0.436396 | − | 0.130222i | ||||
\(685\) | −36.4242 | + | 10.2528i | −1.39170 | + | 0.391739i | ||||
\(686\) | −2.15574 | + | 28.2358i | −0.0823067 | + | 1.07805i | ||||
\(687\) | −14.1136 | + | 13.0116i | −0.538466 | + | 0.496422i | ||||
\(688\) | −6.86254 | − | 0.295281i | −0.261632 | − | 0.0112575i | ||||
\(689\) | 2.59518 | − | 1.49833i | 0.0988686 | − | 0.0570818i | ||||
\(690\) | 30.6350 | − | 24.8331i | 1.16625 | − | 0.945378i | ||||
\(691\) | 4.38363 | − | 7.59267i | 0.166761 | − | 0.288839i | −0.770518 | − | 0.637418i | \(-0.780002\pi\) |
0.937279 | + | 0.348579i | \(0.113336\pi\) | |||||||
\(692\) | −26.9676 | + | 2.96206i | −1.02516 | + | 0.112601i | ||||
\(693\) | −1.43240 | − | 7.84528i | −0.0544123 | − | 0.298018i | ||||
\(694\) | 20.4337 | − | 9.80515i | 0.775655 | − | 0.372198i | ||||
\(695\) | 15.3848 | + | 25.8893i | 0.583577 | + | 0.982036i | ||||
\(696\) | −0.136043 | − | 0.523188i | −0.00515671 | − | 0.0198314i | ||||
\(697\) | 24.5605 | + | 6.58096i | 0.930294 | + | 0.249271i | ||||
\(698\) | −0.304763 | − | 1.62315i | −0.0115354 | − | 0.0614371i | ||||
\(699\) | 12.5194 | − | 19.7836i | 0.473529 | − | 0.748284i | ||||
\(700\) | −2.69981 | − | 19.9417i | −0.102043 | − | 0.753724i | ||||
\(701\) | 6.19195i | 0.233867i | 0.993140 | + | 0.116933i | \(0.0373064\pi\) | ||||
−0.993140 | + | 0.116933i | \(0.962694\pi\) | |||||||
\(702\) | −1.65939 | − | 0.821750i | −0.0626295 | − | 0.0310150i | ||||
\(703\) | −5.08884 | + | 5.08884i | −0.191929 | + | 0.191929i | ||||
\(704\) | 5.87959 | + | 8.78140i | 0.221595 | + | 0.330962i | ||||
\(705\) | −12.6562 | + | 6.84164i | −0.476661 | + | 0.257671i | ||||
\(706\) | 7.69883 | − | 11.2582i | 0.289749 | − | 0.423708i | ||||
\(707\) | −28.5819 | − | 7.65848i | −1.07493 | − | 0.288027i | ||||
\(708\) | 17.2012 | − | 11.5769i | 0.646459 | − | 0.435086i | ||||
\(709\) | −3.44549 | + | 5.96777i | −0.129398 | + | 0.224124i | −0.923444 | − | 0.383734i | \(-0.874638\pi\) |
0.794045 | + | 0.607858i | \(0.207971\pi\) | |||||||
\(710\) | 31.3491 | − | 27.5943i | 1.17651 | − | 1.03560i | ||||
\(711\) | −0.655039 | + | 8.04846i | −0.0245659 | + | 0.301841i | ||||
\(712\) | −39.0544 | + | 24.3112i | −1.46362 | + | 0.911102i | ||||
\(713\) | −22.1490 | + | 5.93482i | −0.829488 | + | 0.222261i | ||||
\(714\) | −30.3156 | + | 13.0608i | −1.13453 | + | 0.488787i | ||||
\(715\) | −0.532900 | − | 0.519654i | −0.0199293 | − | 0.0194340i | ||||
\(716\) | −34.9168 | − | 5.36292i | −1.30490 | − | 0.200422i | ||||
\(717\) | 37.0375 | − | 34.1456i | 1.38319 | − | 1.27519i | ||||
\(718\) | −6.29220 | + | 5.39956i | −0.234823 | + | 0.201510i | ||||
\(719\) | 9.40925 | 0.350906 | 0.175453 | − | 0.984488i | \(-0.443861\pi\) | ||||
0.175453 | + | 0.984488i | \(0.443861\pi\) | |||||||
\(720\) | 4.01447 | + | 26.5308i | 0.149610 | + | 0.988745i | ||||
\(721\) | −12.4553 | −0.463860 | ||||||||
\(722\) | −16.1621 | + | 13.8693i | −0.601493 | + | 0.516162i | ||||
\(723\) | −6.96474 | − | 2.17280i | −0.259021 | − | 0.0808073i | ||||
\(724\) | −29.6886 | − | 4.55991i | −1.10337 | − | 0.169468i | ||||
\(725\) | 0.263755 | − | 0.484606i | 0.00979561 | − | 0.0179978i | ||||
\(726\) | 2.64192 | − | 22.5155i | 0.0980510 | − | 0.835627i | ||||
\(727\) | 47.6245 | − | 12.7610i | 1.76630 | − | 0.473278i | 0.778318 | − | 0.627870i | \(-0.216073\pi\) |
0.987978 | + | 0.154592i | \(0.0494063\pi\) | |||||||
\(728\) | 0.757962 | + | 1.21761i | 0.0280919 | + | 0.0451278i | ||||
\(729\) | −6.51296 | + | 26.2027i | −0.241221 | + | 0.970470i | ||||
\(730\) | 2.68700 | − | 42.1807i | 0.0994504 | − | 1.56118i | ||||
\(731\) | −5.74981 | + | 9.95897i | −0.212664 | + | 0.368346i | ||||
\(732\) | 28.4018 | + | 13.8883i | 1.04976 | + | 0.513326i | ||||
\(733\) | 27.9428 | + | 7.48726i | 1.03209 | + | 0.276548i | 0.734832 | − | 0.678249i | \(-0.237261\pi\) |
0.297259 | + | 0.954797i | \(0.403927\pi\) | |||||||
\(734\) | 8.45193 | − | 12.3595i | 0.311966 | − | 0.456197i | ||||
\(735\) | 8.30324 | − | 7.85049i | 0.306270 | − | 0.289570i | ||||
\(736\) | 40.3157 | − | 5.78822i | 1.48606 | − | 0.213357i | ||||
\(737\) | 10.6231 | − | 10.6231i | 0.391307 | − | 0.391307i | ||||
\(738\) | −16.0214 | + | 1.67860i | −0.589757 | + | 0.0617902i | ||||
\(739\) | − | 17.5090i | − | 0.644079i | −0.946726 | − | 0.322039i | \(-0.895632\pi\) | ||
0.946726 | − | 0.322039i | \(-0.104368\pi\) | |||||||
\(740\) | −9.75489 | − | 12.9503i | −0.358597 | − | 0.476062i | ||||
\(741\) | −0.865683 | − | 0.0351694i | −0.0318016 | − | 0.00129198i | ||||
\(742\) | 6.24542 | + | 33.2627i | 0.229276 | + | 1.22111i | ||||
\(743\) | −5.41032 | − | 1.44969i | −0.198485 | − | 0.0531840i | 0.158207 | − | 0.987406i | \(-0.449429\pi\) |
−0.356692 | + | 0.934222i | \(0.616095\pi\) | |||||||
\(744\) | 4.14964 | − | 15.0403i | 0.152133 | − | 0.551403i | ||||
\(745\) | 5.04907 | − | 3.00042i | 0.184984 | − | 0.109927i | ||||
\(746\) | −21.4348 | + | 10.2855i | −0.784784 | + | 0.376579i | ||||
\(747\) | 25.4898 | − | 21.6530i | 0.932624 | − | 0.792243i | ||||
\(748\) | 17.5867 | − | 1.93169i | 0.643035 | − | 0.0706294i | ||||
\(749\) | −1.98431 | + | 3.43692i | −0.0725050 | + | 0.125582i | ||||
\(750\) | −15.5232 | + | 22.5617i | −0.566828 | + | 0.823836i | ||||
\(751\) | 19.6052 | − | 11.3191i | 0.715403 | − | 0.413038i | −0.0976554 | − | 0.995220i | \(-0.531134\pi\) |
0.813058 | + | 0.582182i | \(0.197801\pi\) | |||||||
\(752\) | −14.8452 | − | 0.638756i | −0.541348 | − | 0.0232930i | ||||
\(753\) | 11.0587 | + | 49.1771i | 0.403001 | + | 1.79211i | ||||
\(754\) | −0.00299355 | + | 0.0392092i | −0.000109019 | + | 0.00142792i | ||||
\(755\) | 3.55426 | − | 6.33906i | 0.129353 | − | 0.230702i | ||||
\(756\) | 14.9702 | − | 14.6031i | 0.544460 | − | 0.531108i | ||||
\(757\) | 2.02607 | + | 2.02607i | 0.0736387 | + | 0.0736387i | 0.742967 | − | 0.669328i | \(-0.233418\pi\) |
−0.669328 | + | 0.742967i | \(0.733418\pi\) | |||||||
\(758\) | 0.649935 | + | 0.757381i | 0.0236067 | + | 0.0275093i | ||||
\(759\) | 13.9206 | + | 8.80923i | 0.505286 | + | 0.319755i | ||||
\(760\) | 6.76844 | + | 10.5741i | 0.245517 | + | 0.383563i | ||||
\(761\) | 14.6870 | + | 25.4386i | 0.532402 | + | 0.922147i | 0.999284 | + | 0.0378275i | \(0.0120437\pi\) |
−0.466883 | + | 0.884319i | \(0.654623\pi\) | |||||||
\(762\) | 7.04801 | + | 48.2674i | 0.255322 | + | 1.74854i | ||||
\(763\) | −16.9402 | + | 4.53911i | −0.613276 | + | 0.164327i | ||||
\(764\) | −9.63668 | + | 12.0148i | −0.348643 | + | 0.434681i | ||||
\(765\) | 42.4923 | + | 14.5748i | 1.53631 | + | 0.526952i | ||||
\(766\) | −8.24094 | + | 3.95442i | −0.297757 | + | 0.142879i | ||||
\(767\) | −1.45685 | + | 0.390362i | −0.0526039 | + | 0.0140952i | ||||
\(768\) | −10.4952 | + | 25.6486i | −0.378714 | + | 0.925514i | ||||
\(769\) | −15.2348 | + | 8.79582i | −0.549381 | + | 0.317185i | −0.748872 | − | 0.662714i | \(-0.769404\pi\) |
0.199491 | + | 0.979900i | \(0.436071\pi\) | |||||||
\(770\) | 7.53261 | − | 3.73186i | 0.271456 | − | 0.134487i | ||||
\(771\) | −1.00798 | + | 24.8110i | −0.0363014 | + | 0.893546i | ||||
\(772\) | −32.5793 | − | 14.3229i | −1.17255 | − | 0.515494i | ||||
\(773\) | 0.834126 | − | 0.834126i | 0.0300014 | − | 0.0300014i | −0.691947 | − | 0.721948i | \(-0.743247\pi\) |
0.721948 | + | 0.691947i | \(0.243247\pi\) | |||||||
\(774\) | 1.14208 | − | 7.19549i | 0.0410511 | − | 0.258637i | ||||
\(775\) | 13.5858 | − | 8.30650i | 0.488017 | − | 0.298378i | ||||
\(776\) | 14.9899 | − | 16.0197i | 0.538105 | − | 0.575075i | ||||
\(777\) | −3.76328 | + | 12.0629i | −0.135007 | + | 0.432754i | ||||
\(778\) | −0.756109 | − | 4.02699i | −0.0271078 | − | 0.144375i | ||||
\(779\) | −6.52749 | + | 3.76865i | −0.233872 | + | 0.135026i | ||||
\(780\) | 0.350250 | − | 1.92019i | 0.0125410 | − | 0.0687539i | ||||
\(781\) | 15.1089 | + | 8.72313i | 0.540639 | + | 0.312138i | ||||
\(782\) | 22.6109 | − | 64.3290i | 0.808563 | − | 2.30040i | ||||
\(783\) | 0.567769 | − | 0.0800039i | 0.0202904 | − | 0.00285911i | ||||
\(784\) | 11.5203 | − | 2.56162i | 0.411439 | − | 0.0914866i | ||||
\(785\) | 12.2637 | + | 3.12120i | 0.437711 | + | 0.111400i | ||||
\(786\) | −3.11105 | + | 26.5135i | −0.110967 | + | 0.945706i | ||||
\(787\) | 30.2424 | + | 8.10344i | 1.07803 | + | 0.288856i | 0.753787 | − | 0.657119i | \(-0.228225\pi\) |
0.324239 | + | 0.945975i | \(0.394892\pi\) | |||||||
\(788\) | −29.4156 | + | 21.5827i | −1.04789 | + | 0.768851i | ||||
\(789\) | 21.3626 | − | 11.2030i | 0.760528 | − | 0.398839i | ||||
\(790\) | −8.34526 | + | 1.67589i | −0.296911 | + | 0.0596255i | ||||
\(791\) | − | 22.6155i | − | 0.804113i | ||||||
\(792\) | −9.96511 | + | 5.13221i | −0.354095 | + | 0.182365i | ||||
\(793\) | −1.62619 | − | 1.62619i | −0.0577478 | − | 0.0577478i | ||||
\(794\) | −35.1912 | − | 2.68678i | −1.24889 | − | 0.0953503i | ||||
\(795\) | 24.1375 | − | 39.2267i | 0.856071 | − | 1.39123i | ||||
\(796\) | 2.00537 | − | 13.0565i | 0.0710785 | − | 0.462777i | ||||
\(797\) | −1.31195 | + | 4.89626i | −0.0464716 | + | 0.173434i | −0.985261 | − | 0.171057i | \(-0.945282\pi\) |
0.938790 | + | 0.344491i | \(0.111949\pi\) | |||||||
\(798\) | 3.61676 | − | 9.09205i | 0.128032 | − | 0.321855i | ||||
\(799\) | −12.4381 | + | 21.5434i | −0.440028 | + | 0.762151i | ||||
\(800\) | −25.7146 | + | 11.7797i | −0.909147 | + | 0.416476i | ||||
\(801\) | −20.8886 | − | 44.0963i | −0.738063 | − | 1.55807i | ||||
\(802\) | −15.7420 | − | 5.53313i | −0.555870 | − | 0.195382i | ||||
\(803\) | 17.0545 | − | 4.56975i | 0.601841 | − | 0.161263i | ||||
\(804\) | 38.6647 | + | 7.55651i | 1.36360 | + | 0.266498i | ||||
\(805\) | −0.407688 | − | 32.3956i | −0.0143691 | − | 1.14179i | ||||
\(806\) | −0.640646 | + | 0.936834i | −0.0225658 | + | 0.0329986i | ||||
\(807\) | 4.52517 | + | 20.1230i | 0.159293 | + | 0.708364i | ||||
\(808\) | 1.38048 | + | 41.5668i | 0.0485650 | + | 1.46232i | ||||
\(809\) | 14.3924i | 0.506010i | 0.967465 | + | 0.253005i | \(0.0814190\pi\) | ||||
−0.967465 | + | 0.253005i | \(0.918581\pi\) | |||||||
\(810\) | −28.4423 | + | 1.01774i | −0.999360 | + | 0.0357599i | ||||
\(811\) | −2.34663 | −0.0824014 | −0.0412007 | − | 0.999151i | \(-0.513118\pi\) | ||||
−0.0412007 | + | 0.999151i | \(0.513118\pi\) | |||||||
\(812\) | −0.406559 | − | 0.178737i | −0.0142674 | − | 0.00627244i | ||||
\(813\) | −33.6045 | + | 7.55680i | −1.17856 | + | 0.265029i | ||||
\(814\) | 3.82312 | − | 5.59064i | 0.134000 | − | 0.195952i | ||||
\(815\) | −20.6507 | + | 21.1771i | −0.723362 | + | 0.741801i | ||||
\(816\) | 29.9525 | + | 35.4317i | 1.04855 | + | 1.24036i | ||||
\(817\) | −0.882273 | − | 3.29269i | −0.0308668 | − | 0.115197i | ||||
\(818\) | 1.09688 | − | 3.12069i | 0.0383517 | − | 0.109112i | ||||
\(819\) | −1.37481 | + | 0.651253i | −0.0480397 | + | 0.0227566i | ||||
\(820\) | −6.35802 | − | 15.7453i | −0.222032 | − | 0.549849i | ||||
\(821\) | 34.6998 | + | 20.0339i | 1.21103 | + | 0.699189i | 0.962984 | − | 0.269560i | \(-0.0868781\pi\) |
0.248046 | + | 0.968748i | \(0.420211\pi\) | |||||||
\(822\) | 15.3214 | − | 38.5158i | 0.534394 | − | 1.34339i | ||||
\(823\) | −14.7029 | − | 3.93962i | −0.512510 | − | 0.137327i | −0.00670995 | − | 0.999977i | \(-0.502136\pi\) |
−0.505800 | + | 0.862651i | \(0.668803\pi\) | |||||||
\(824\) | 5.08975 | + | 16.7501i | 0.177310 | + | 0.583516i | ||||
\(825\) | −11.0034 | − | 3.13115i | −0.383088 | − | 0.109013i | ||||
\(826\) | 1.29673 | − | 16.9845i | 0.0451192 | − | 0.590967i | ||||
\(827\) | −20.3139 | + | 20.3139i | −0.706385 | + | 0.706385i | −0.965773 | − | 0.259388i | \(-0.916479\pi\) |
0.259388 | + | 0.965773i | \(0.416479\pi\) | |||||||
\(828\) | 1.21769 | + | 43.1826i | 0.0423177 | + | 1.50070i | ||||
\(829\) | −8.86162 | −0.307777 | −0.153888 | − | 0.988088i | \(-0.549180\pi\) | ||||
−0.153888 | + | 0.988088i | \(0.549180\pi\) | |||||||
\(830\) | 29.3488 | + | 19.5325i | 1.01871 | + | 0.677983i | ||||
\(831\) | −0.913303 | − | 1.74154i | −0.0316821 | − | 0.0604133i | ||||
\(832\) | 1.32773 | − | 1.51688i | 0.0460307 | − | 0.0525885i | ||||
\(833\) | 5.11371 | − | 19.0846i | 0.177179 | − | 0.661243i | ||||
\(834\) | −32.7651 | − | 3.84460i | −1.13456 | − | 0.133128i | ||||
\(835\) | −51.0708 | − | 12.9978i | −1.76738 | − | 0.449809i | ||||
\(836\) | −3.28143 | + | 4.09122i | −0.113491 | + | 0.141498i | ||||
\(837\) | 15.3459 | + | 6.19369i | 0.530432 | + | 0.214085i | ||||
\(838\) | 3.62178 | − | 10.3041i | 0.125112 | − | 0.355950i | ||||
\(839\) | −19.2036 | + | 33.2616i | −0.662981 | + | 1.14832i | 0.316847 | + | 0.948477i | \(0.397376\pi\) |
−0.979828 | + | 0.199841i | \(0.935958\pi\) | |||||||
\(840\) | 19.1477 | + | 10.9231i | 0.660660 | + | 0.376884i | ||||
\(841\) | 14.4939 | + | 25.1042i | 0.499790 | + | 0.865662i | ||||
\(842\) | −11.5615 | + | 2.17079i | −0.398437 | + | 0.0748105i | ||||
\(843\) | 37.1138 | + | 11.5784i | 1.27827 | + | 0.398783i | ||||
\(844\) | 4.29741 | − | 1.67274i | 0.147923 | − | 0.0575779i | ||||
\(845\) | 14.1471 | − | 25.2315i | 0.486674 | − | 0.867988i | ||||
\(846\) | 2.47056 | − | 15.5654i | 0.0849395 | − | 0.535150i | ||||
\(847\) | −13.1694 | − | 13.1694i | −0.452505 | − | 0.452505i | ||||
\(848\) | 42.1800 | − | 21.9914i | 1.44847 | − | 0.755189i | ||||
\(849\) | 19.8410 | + | 0.806064i | 0.680940 | + | 0.0276640i | ||||
\(850\) | −2.41545 | + | 47.2907i | −0.0828491 | + | 1.62206i | ||||
\(851\) | −13.0513 | − | 22.6055i | −0.447393 | − | 0.774907i | ||||
\(852\) | 3.14489 | + | 45.6417i | 0.107742 | + | 1.56366i | ||||
\(853\) | −12.5843 | − | 46.9654i | −0.430880 | − | 1.60807i | −0.750738 | − | 0.660600i | \(-0.770302\pi\) |
0.319858 | − | 0.947465i | \(-0.396365\pi\) | |||||||
\(854\) | 23.4171 | − | 11.2367i | 0.801317 | − | 0.384512i | ||||
\(855\) | −11.9617 | + | 5.85175i | −0.409083 | + | 0.200126i | ||||
\(856\) | 5.43288 | + | 1.26406i | 0.185692 | + | 0.0432045i | ||||
\(857\) | −10.7582 | − | 40.1502i | −0.367494 | − | 1.37151i | −0.864009 | − | 0.503477i | \(-0.832054\pi\) |
0.496515 | − | 0.868028i | \(-0.334613\pi\) | |||||||
\(858\) | 0.806814 | − | 0.117811i | 0.0275442 | − | 0.00402200i | ||||
\(859\) | −15.7308 | + | 9.08219i | −0.536729 | + | 0.309880i | −0.743752 | − | 0.668456i | \(-0.766956\pi\) |
0.207023 | + | 0.978336i | \(0.433622\pi\) | |||||||
\(860\) | 7.62259 | − | 0.934466i | 0.259928 | − | 0.0318650i | ||||
\(861\) | −7.07696 | + | 11.1832i | −0.241182 | + | 0.381123i | ||||
\(862\) | 18.2929 | + | 21.3171i | 0.623059 | + | 0.726062i | ||||
\(863\) | −15.3762 | + | 15.3762i | −0.523413 | + | 0.523413i | −0.918601 | − | 0.395187i | \(-0.870680\pi\) |
0.395187 | + | 0.918601i | \(0.370680\pi\) | |||||||
\(864\) | −25.7558 | − | 14.1647i | −0.876231 | − | 0.481892i | ||||
\(865\) | 29.1974 | − | 8.21858i | 0.992742 | − | 0.279440i | ||||
\(866\) | −2.20368 | − | 0.168246i | −0.0748839 | − | 0.00571724i | ||||
\(867\) | 47.0538 | − | 10.5812i | 1.59803 | − | 0.359357i | ||||
\(868\) | −7.58260 | − | 10.3345i | −0.257370 | − | 0.350776i | ||||
\(869\) | −1.77786 | − | 3.07935i | −0.0603098 | − | 0.104460i | ||||
\(870\) | 0.246105 | + | 0.552018i | 0.00834373 | + | 0.0187152i | ||||
\(871\) | −2.48182 | − | 1.43288i | −0.0840932 | − | 0.0485513i | ||||
\(872\) | 13.0267 | + | 20.9265i | 0.441140 | + | 0.708661i | ||||
\(873\) | 15.0654 | + | 17.7349i | 0.509887 | + | 0.600236i | ||||
\(874\) | 8.74446 | + | 18.2233i | 0.295786 | + | 0.616412i | ||||
\(875\) | 6.63922 | + | 21.4970i | 0.224447 | + | 0.726730i | ||||
\(876\) | 34.9123 | + | 30.4113i | 1.17958 | + | 1.02750i | ||||
\(877\) | −13.0996 | + | 48.8883i | −0.442341 | + | 1.65084i | 0.280522 | + | 0.959848i | \(0.409493\pi\) |
−0.722863 | + | 0.690992i | \(0.757174\pi\) | |||||||
\(878\) | −1.55700 | − | 8.29251i | −0.0525463 | − | 0.279859i | ||||
\(879\) | −0.631649 | + | 15.5478i | −0.0213050 | + | 0.524414i | ||||
\(880\) | −8.09678 | − | 8.60496i | −0.272942 | − | 0.290073i | ||||
\(881\) | −11.9316 | −0.401985 | −0.200993 | − | 0.979593i | \(-0.564417\pi\) | ||||
−0.200993 | + | 0.979593i | \(0.564417\pi\) | |||||||
\(882\) | 1.30435 | + | 12.4494i | 0.0439198 | + | 0.419193i | ||||
\(883\) | −23.7691 | − | 23.7691i | −0.799895 | − | 0.799895i | 0.183184 | − | 0.983079i | \(-0.441360\pi\) |
−0.983079 | + | 0.183184i | \(0.941360\pi\) | |||||||
\(884\) | −1.22419 | − | 3.14506i | −0.0411740 | − | 0.105780i | ||||
\(885\) | −16.8446 | + | 15.9261i | −0.566224 | + | 0.535350i | ||||
\(886\) | 20.4408 | − | 29.8912i | 0.686723 | − | 1.00421i | ||||
\(887\) | 3.08826 | − | 11.5255i | 0.103693 | − | 0.386989i | −0.894500 | − | 0.447068i | \(-0.852468\pi\) |
0.998194 | + | 0.0600782i | \(0.0191350\pi\) | |||||||
\(888\) | 17.7602 | + | 0.131518i | 0.595993 | + | 0.00441346i | ||||
\(889\) | 34.7053 | + | 20.0371i | 1.16398 | + | 0.672023i | ||||
\(890\) | 38.6071 | − | 33.9830i | 1.29411 | − | 1.13911i | ||||
\(891\) | −4.20135 | − | 11.1219i | −0.140750 | − | 0.372598i | ||||
\(892\) | 27.1937 | − | 2.98689i | 0.910512 | − | 0.100008i | ||||
\(893\) | −1.90855 | − | 7.12280i | −0.0638671 | − | 0.238355i | ||||
\(894\) | −0.749795 | + | 6.39004i | −0.0250769 | + | 0.213715i | ||||
\(895\) | 39.4928 | − | 0.497004i | 1.32010 | − | 0.0166130i | ||||
\(896\) | 11.1898 | + | 19.8276i | 0.373825 | + | 0.662395i | ||||
\(897\) | 0.935867 | − | 2.99985i | 0.0312477 | − | 0.100162i | ||||
\(898\) | 20.7084 | + | 24.1319i | 0.691048 | + | 0.805290i | ||||
\(899\) | − | 0.351431i | − | 0.0117209i | ||||||
\(900\) | −9.29902 | − | 28.5224i | −0.309967 | − | 0.950747i | ||||
\(901\) | − | 79.6376i | − | 2.65311i | ||||||
\(902\) | 5.38306 | − | 4.61939i | 0.179236 | − | 0.153809i | ||||
\(903\) | −4.05702 | − | 4.40063i | −0.135009 | − | 0.146444i | ||||
\(904\) | −30.4136 | + | 9.24159i | −1.01154 | + | 0.307371i | ||||
\(905\) | 33.5795 | − | 0.422586i | 1.11622 | − | 0.0140472i | ||||
\(906\) | 3.14997 | + | 7.31147i | 0.104651 | + | 0.242907i | ||||
\(907\) | −12.0095 | − | 44.8199i | −0.398767 | − | 1.48822i | −0.815267 | − | 0.579085i | \(-0.803410\pi\) |
0.416500 | − | 0.909136i | \(-0.363257\pi\) | |||||||
\(908\) | 40.4089 | − | 4.43842i | 1.34102 | − | 0.147294i | ||||
\(909\) | −43.9672 | − | 3.57835i | −1.45830 | − | 0.118686i | ||||
\(910\) | −1.05950 | − | 1.20367i | −0.0351221 | − | 0.0399013i | ||||
\(911\) | −11.5629 | − | 6.67583i | −0.383095 | − | 0.221180i | 0.296069 | − | 0.955167i | \(-0.404324\pi\) |
−0.679164 | + | 0.733986i | \(0.737658\pi\) | |||||||
\(912\) | −13.7051 | − | 1.14849i | −0.453820 | − | 0.0380304i | ||||
\(913\) | −3.81164 | + | 14.2253i | −0.126147 | + | 0.470787i | ||||
\(914\) | 2.51877 | + | 1.72244i | 0.0833135 | + | 0.0569732i | ||||
\(915\) | −33.8732 | − | 10.1015i | −1.11981 | − | 0.333946i | ||||
\(916\) | 20.6562 | − | 8.04027i | 0.682500 | − | 0.265658i | ||||
\(917\) | 15.5078 | + | 15.5078i | 0.512114 | + | 0.512114i | ||||
\(918\) | −40.9620 | + | 27.2716i | −1.35195 | + | 0.900096i | ||||
\(919\) | 25.9978 | 0.857588 | 0.428794 | − | 0.903402i | \(-0.358939\pi\) | ||||
0.428794 | + | 0.903402i | \(0.358939\pi\) | |||||||
\(920\) | −43.3994 | + | 13.7864i | −1.43084 | + | 0.454525i | ||||
\(921\) | −5.60046 | − | 3.54408i | −0.184542 | − | 0.116782i | ||||
\(922\) | −28.1678 | + | 5.28880i | −0.927658 | + | 0.174177i | ||||
\(923\) | 0.861335 | − | 3.21455i | 0.0283512 | − | 0.105808i | ||||
\(924\) | −1.76631 | + | 9.03773i | −0.0581072 | + | 0.297319i | ||||
\(925\) | 13.1362 | + | 12.4910i | 0.431914 | + | 0.410703i | ||||
\(926\) | 43.0671 | − | 20.6658i | 1.41527 | − | 0.679120i | ||||
\(927\) | −18.2663 | + | 3.33507i | −0.599943 | + | 0.109538i | ||||
\(928\) | −0.0742313 | + | 0.619785i | −0.00243676 | + | 0.0203454i | ||||
\(929\) | 0.631009 | + | 0.364313i | 0.0207027 | + | 0.0119527i | 0.510316 | − | 0.859987i | \(-0.329529\pi\) |
−0.489613 | + | 0.871940i | \(0.662862\pi\) | |||||||
\(930\) | −1.81471 | + | 17.3492i | −0.0595066 | + | 0.568902i | ||||
\(931\) | 2.92842 | + | 5.07216i | 0.0959749 | + | 0.166233i | ||||
\(932\) | −21.7963 | + | 15.9923i | −0.713963 | + | 0.523846i | ||||
\(933\) | 19.3964 | + | 21.0391i | 0.635009 | + | 0.688790i | ||||
\(934\) | −3.26702 | + | 42.7912i | −0.106900 | + | 1.40017i | ||||
\(935\) | −19.0409 | + | 5.35969i | −0.622703 | + | 0.175280i | ||||
\(936\) | 1.43762 | + | 1.58273i | 0.0469899 | + | 0.0517332i | ||||
\(937\) | −26.9782 | + | 26.9782i | −0.881338 | + | 0.881338i | −0.993671 | − | 0.112333i | \(-0.964168\pi\) |
0.112333 | + | 0.993671i | \(0.464168\pi\) | |||||||
\(938\) | 24.5617 | − | 21.0773i | 0.801969 | − | 0.688198i | ||||
\(939\) | −10.3413 | − | 19.7194i | −0.337477 | − | 0.643519i | ||||
\(940\) | 16.4893 | − | 2.02145i | 0.537822 | − | 0.0659325i | ||||
\(941\) | −48.4091 | + | 27.9490i | −1.57809 | + | 0.911112i | −0.582966 | + | 0.812497i | \(0.698108\pi\) |
−0.995126 | + | 0.0986151i | \(0.968559\pi\) | |||||||
\(942\) | −10.8778 | + | 8.59314i | −0.354419 | + | 0.279980i | ||||
\(943\) | −7.07558 | − | 26.4064i | −0.230413 | − | 0.859912i | ||||
\(944\) | −23.3709 | + | 5.19670i | −0.760659 | + | 0.169138i | ||||
\(945\) | −13.8284 | + | 18.8539i | −0.449839 | + | 0.613317i | ||||
\(946\) | 1.38788 | + | 2.89232i | 0.0451240 | + | 0.0940375i | ||||
\(947\) | 12.1360 | + | 45.2921i | 0.394366 | + | 1.47179i | 0.822857 | + | 0.568248i | \(0.192379\pi\) |
−0.428491 | + | 0.903546i | \(0.640955\pi\) | |||||||
\(948\) | 4.09603 | − | 8.37645i | 0.133033 | − | 0.272054i | ||||
\(949\) | −1.68399 | − | 2.91676i | −0.0546646 | − | 0.0946819i | ||||
\(950\) | −9.40623 | − | 10.4188i | −0.305178 | − | 0.338031i | ||||
\(951\) | −14.2075 | − | 27.0916i | −0.460709 | − | 0.878506i | ||||
\(952\) | 38.0950 | − | 1.26517i | 1.23467 | − | 0.0410045i | ||||
\(953\) | −11.8743 | − | 11.8743i | −0.384647 | − | 0.384647i | 0.488126 | − | 0.872773i | \(-0.337681\pi\) |
−0.872773 | + | 0.488126i | \(0.837681\pi\) | |||||||
\(954\) | 18.0657 | + | 47.1090i | 0.584899 | + | 1.52521i | ||||
\(955\) | 8.42164 | − | 15.0201i | 0.272518 | − | 0.486038i | ||||
\(956\) | −54.2071 | + | 21.0997i | −1.75318 | + | 0.682413i | ||||
\(957\) | −0.185628 | + | 0.171134i | −0.00600051 | + | 0.00553199i | ||||
\(958\) | −4.99954 | − | 26.6273i | −0.161528 | − | 0.860289i | ||||
\(959\) | −17.0270 | − | 29.4916i | −0.549830 | − | 0.952334i | ||||
\(960\) | 6.86502 | − | 30.2138i | 0.221568 | − | 0.975145i | ||||
\(961\) | −10.4286 | + | 18.0628i | −0.336405 | + | 0.582670i | ||||
\(962\) | −1.21885 | − | 0.428411i | −0.0392973 | − | 0.0138125i | ||||
\(963\) | −1.98979 | + | 5.57172i | −0.0641202 | + | 0.179546i | ||||
\(964\) | 6.57177 | + | 5.27099i | 0.211662 | + | 0.169767i | ||||
\(965\) | 38.5602 | + | 9.81380i | 1.24130 | + | 0.315918i | ||||
\(966\) | 28.4582 | + | 21.2062i | 0.915626 | + | 0.682298i | ||||
\(967\) | 7.58370 | − | 28.3027i | 0.243875 | − | 0.910155i | −0.730070 | − | 0.683372i | \(-0.760513\pi\) |
0.973945 | − | 0.226783i | \(-0.0728207\pi\) | |||||||
\(968\) | −12.3288 | + | 23.0919i | −0.396263 | + | 0.742201i | ||||
\(969\) | −12.3124 | + | 19.4564i | −0.395531 | + | 0.625029i | ||||
\(970\) | −13.5900 | + | 20.4199i | −0.436349 | + | 0.655642i | ||||
\(971\) | −32.8220 | −1.05331 | −0.526655 | − | 0.850079i | \(-0.676554\pi\) | ||||
−0.526655 | + | 0.850079i | \(0.676554\pi\) | |||||||
\(972\) | 18.0443 | − | 25.4245i | 0.578770 | − | 0.815491i | ||||
\(973\) | −19.1644 | + | 19.1644i | −0.614383 | + | 0.614383i | ||||
\(974\) | −24.0784 | − | 1.83834i | −0.771523 | − | 0.0589042i | ||||
\(975\) | −0.0336839 | + | 2.18200i | −0.00107875 | + | 0.0698800i | ||||
\(976\) | −24.6805 | − | 26.8999i | −0.790002 | − | 0.861043i | ||||
\(977\) | −27.5968 | − | 7.39454i | −0.882900 | − | 0.236572i | −0.211242 | − | 0.977434i | \(-0.567751\pi\) |
−0.671658 | + | 0.740862i | \(0.734417\pi\) | |||||||
\(978\) | −4.68172 | − | 32.0622i | −0.149705 | − | 1.02524i | ||||
\(979\) | 18.6069 | + | 10.7427i | 0.594681 | + | 0.343339i | ||||
\(980\) | −12.2348 | + | 4.94048i | −0.390826 | + | 0.157818i | ||||
\(981\) | −23.6281 | + | 11.1928i | −0.754388 | + | 0.357357i | ||||
\(982\) | 8.30587 | + | 2.91941i | 0.265051 | + | 0.0931622i | ||||
\(983\) | −12.9714 | − | 48.4099i | −0.413723 | − | 1.54404i | −0.787380 | − | 0.616468i | \(-0.788563\pi\) |
0.373657 | − | 0.927567i | \(-0.378104\pi\) | |||||||
\(984\) | 17.9313 | + | 4.94727i | 0.571628 | + | 0.157713i | ||||
\(985\) | 28.4779 | − | 29.2039i | 0.907383 | − | 0.930512i | ||||
\(986\) | 0.862623 | + | 0.589898i | 0.0274715 | + | 0.0187862i | ||||
\(987\) | −8.77622 | − | 9.51951i | −0.279350 | − | 0.303009i | ||||
\(988\) | 0.915831 | + | 0.402630i | 0.0291365 | + | 0.0128094i | ||||
\(989\) | 12.3639 | 0.393150 | ||||||||
\(990\) | 10.0477 | − | 7.48989i | 0.319335 | − | 0.238044i | ||||
\(991\) | 35.5644i | 1.12974i | 0.825180 | + | 0.564870i | \(0.191074\pi\) | ||||
−0.825180 | + | 0.564870i | \(0.808926\pi\) | |||||||
\(992\) | −10.7994 | + | 14.4203i | −0.342882 | + | 0.457845i | ||||
\(993\) | −7.95236 | − | 2.48091i | −0.252360 | − | 0.0787293i | ||||
\(994\) | 31.0249 | + | 21.2161i | 0.984050 | + | 0.672935i | ||||
\(995\) | 0.185846 | + | 14.7677i | 0.00589172 | + | 0.468166i | ||||
\(996\) | −36.5280 | + | 12.5360i | −1.15743 | + | 0.397219i | ||||
\(997\) | −47.2239 | + | 12.6536i | −1.49559 | + | 0.400743i | −0.911622 | − | 0.411030i | \(-0.865169\pi\) |
−0.583973 | + | 0.811773i | \(0.698503\pi\) | |||||||
\(998\) | −0.906016 | + | 2.57766i | −0.0286794 | + | 0.0815944i | ||||
\(999\) | −2.28902 | + | 18.6985i | −0.0724215 | + | 0.591593i |
(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 | 360.2.bo.a.43.17 | ✓ | 272 | |
5.2 | odd | 4 | inner | 360.2.bo.a.187.18 | yes | 272 | |
8.3 | odd | 2 | inner | 360.2.bo.a.43.63 | yes | 272 | |
9.4 | even | 3 | inner | 360.2.bo.a.283.30 | yes | 272 | |
40.27 | even | 4 | inner | 360.2.bo.a.187.30 | yes | 272 | |
45.22 | odd | 12 | inner | 360.2.bo.a.67.63 | yes | 272 | |
72.67 | odd | 6 | inner | 360.2.bo.a.283.18 | yes | 272 | |
360.67 | even | 12 | inner | 360.2.bo.a.67.17 | yes | 272 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bo.a.43.17 | ✓ | 272 | 1.1 | even | 1 | trivial | |
360.2.bo.a.43.63 | yes | 272 | 8.3 | odd | 2 | inner | |
360.2.bo.a.67.17 | yes | 272 | 360.67 | even | 12 | inner | |
360.2.bo.a.67.63 | yes | 272 | 45.22 | odd | 12 | inner | |
360.2.bo.a.187.18 | yes | 272 | 5.2 | odd | 4 | inner | |
360.2.bo.a.187.30 | yes | 272 | 40.27 | even | 4 | inner | |
360.2.bo.a.283.18 | yes | 272 | 72.67 | odd | 6 | inner | |
360.2.bo.a.283.30 | yes | 272 | 9.4 | even | 3 | inner |