Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,2,Mod(4,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.m (of order \(21\), degree \(12\), 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: | \(1.17380090971\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 58.3 | ||
Character | \(\chi\) | \(=\) | 147.58 |
Dual form | 147.2.m.a.109.3 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.615612 | + | 0.571205i | 0.435304 | + | 0.403903i | 0.867152 | − | 0.498043i | \(-0.165948\pi\) |
−0.431849 | + | 0.901946i | \(0.642138\pi\) | |||||||
\(3\) | 0.988831 | + | 0.149042i | 0.570902 | + | 0.0860496i | ||||
\(4\) | −0.0967566 | − | 1.29113i | −0.0483783 | − | 0.645563i | ||||
\(5\) | −0.568152 | − | 1.44763i | −0.254085 | − | 0.647399i | 0.745737 | − | 0.666240i | \(-0.232097\pi\) |
−0.999822 | + | 0.0188414i | \(0.994002\pi\) | |||||||
\(6\) | 0.523603 | + | 0.656577i | 0.213760 | + | 0.268046i | ||||
\(7\) | 1.56778 | + | 2.13121i | 0.592565 | + | 0.805522i | ||||
\(8\) | 1.72514 | − | 2.16325i | 0.609928 | − | 0.764826i | ||||
\(9\) | 0.955573 | + | 0.294755i | 0.318524 | + | 0.0982517i | ||||
\(10\) | 0.477130 | − | 1.21571i | 0.150882 | − | 0.384441i | ||||
\(11\) | −1.88719 | + | 0.582120i | −0.569008 | + | 0.175516i | −0.565892 | − | 0.824479i | \(-0.691468\pi\) |
−0.00311601 | + | 0.999995i | \(0.500992\pi\) | |||||||
\(12\) | 0.0967566 | − | 1.29113i | 0.0279312 | − | 0.372716i | ||||
\(13\) | −0.828434 | + | 3.62961i | −0.229766 | + | 1.00667i | 0.720064 | + | 0.693907i | \(0.244112\pi\) |
−0.949831 | + | 0.312765i | \(0.898745\pi\) | |||||||
\(14\) | −0.252214 | + | 2.20752i | −0.0674069 | + | 0.589985i | ||||
\(15\) | −0.346049 | − | 1.51614i | −0.0893494 | − | 0.391465i | ||||
\(16\) | −0.262894 | + | 0.0396249i | −0.0657235 | + | 0.00990622i | ||||
\(17\) | −3.40886 | − | 2.32412i | −0.826771 | − | 0.563683i | 0.0743595 | − | 0.997232i | \(-0.476309\pi\) |
−0.901130 | + | 0.433549i | \(0.857261\pi\) | |||||||
\(18\) | 0.419897 | + | 0.727282i | 0.0989706 | + | 0.171422i | ||||
\(19\) | −1.88493 | + | 3.26480i | −0.432433 | + | 0.748996i | −0.997082 | − | 0.0763350i | \(-0.975678\pi\) |
0.564649 | + | 0.825331i | \(0.309011\pi\) | |||||||
\(20\) | −1.81410 | + | 0.873624i | −0.405645 | + | 0.195348i | ||||
\(21\) | 1.23263 | + | 2.34107i | 0.268982 | + | 0.510864i | ||||
\(22\) | −1.49428 | − | 0.719609i | −0.318582 | − | 0.153421i | ||||
\(23\) | −2.44141 | + | 1.66453i | −0.509070 | + | 0.347078i | −0.790458 | − | 0.612516i | \(-0.790158\pi\) |
0.281388 | + | 0.959594i | \(0.409205\pi\) | |||||||
\(24\) | 2.02829 | − | 1.88197i | 0.414022 | − | 0.384156i | ||||
\(25\) | 1.89243 | − | 1.75592i | 0.378486 | − | 0.351184i | ||||
\(26\) | −2.58324 | + | 1.76123i | −0.506616 | + | 0.345405i | ||||
\(27\) | 0.900969 | + | 0.433884i | 0.173392 | + | 0.0835010i | ||||
\(28\) | 2.59997 | − | 2.23041i | 0.491348 | − | 0.421508i | ||||
\(29\) | 1.94616 | − | 0.937220i | 0.361393 | − | 0.174037i | −0.244372 | − | 0.969682i | \(-0.578582\pi\) |
0.605764 | + | 0.795644i | \(0.292867\pi\) | |||||||
\(30\) | 0.652993 | − | 1.13102i | 0.119220 | − | 0.206495i | ||||
\(31\) | 0.421689 | + | 0.730388i | 0.0757377 | + | 0.131181i | 0.901407 | − | 0.432973i | \(-0.142536\pi\) |
−0.825669 | + | 0.564155i | \(0.809202\pi\) | |||||||
\(32\) | −4.75673 | − | 3.24308i | −0.840878 | − | 0.573301i | ||||
\(33\) | −1.95287 | + | 0.294347i | −0.339951 | + | 0.0512393i | ||||
\(34\) | −0.770987 | − | 3.37792i | −0.132223 | − | 0.579308i | ||||
\(35\) | 2.19446 | − | 3.48041i | 0.370932 | − | 0.588298i | ||||
\(36\) | 0.288108 | − | 1.26228i | 0.0480180 | − | 0.210381i | ||||
\(37\) | 0.772823 | − | 10.3126i | 0.127051 | − | 1.69538i | −0.461675 | − | 0.887049i | \(-0.652751\pi\) |
0.588726 | − | 0.808332i | \(-0.299630\pi\) | |||||||
\(38\) | −3.02525 | + | 0.933168i | −0.490761 | + | 0.151380i | ||||
\(39\) | −1.36015 | + | 3.46560i | −0.217798 | + | 0.554940i | ||||
\(40\) | −4.11173 | − | 1.26830i | −0.650121 | − | 0.200536i | ||||
\(41\) | −6.50119 | + | 8.15223i | −1.01532 | + | 1.27316i | −0.0537598 | + | 0.998554i | \(0.517121\pi\) |
−0.961555 | + | 0.274611i | \(0.911451\pi\) | |||||||
\(42\) | −0.578411 | + | 2.14528i | −0.0892507 | + | 0.331023i | ||||
\(43\) | 4.94257 | + | 6.19778i | 0.753734 | + | 0.945153i | 0.999709 | − | 0.0241232i | \(-0.00767941\pi\) |
−0.245975 | + | 0.969276i | \(0.579108\pi\) | |||||||
\(44\) | 0.934188 | + | 2.38027i | 0.140834 | + | 0.358839i | ||||
\(45\) | −0.116215 | − | 1.55078i | −0.0173243 | − | 0.231177i | ||||
\(46\) | −2.45375 | − | 0.369843i | −0.361786 | − | 0.0545304i | ||||
\(47\) | −1.22264 | − | 1.13444i | −0.178340 | − | 0.165476i | 0.585952 | − | 0.810346i | \(-0.300721\pi\) |
−0.764292 | + | 0.644870i | \(0.776911\pi\) | |||||||
\(48\) | −0.265864 | −0.0383741 | ||||||||
\(49\) | −2.08413 | + | 6.68254i | −0.297733 | + | 0.954649i | ||||
\(50\) | 2.16799 | 0.306600 | ||||||||
\(51\) | −3.02440 | − | 2.80623i | −0.423500 | − | 0.392951i | ||||
\(52\) | 4.76644 | + | 0.718425i | 0.660986 | + | 0.0996276i | ||||
\(53\) | −0.368379 | − | 4.91568i | −0.0506008 | − | 0.675221i | −0.963615 | − | 0.267293i | \(-0.913871\pi\) |
0.913014 | − | 0.407927i | \(-0.133748\pi\) | |||||||
\(54\) | 0.306811 | + | 0.781742i | 0.0417517 | + | 0.106382i | ||||
\(55\) | 1.91490 | + | 2.40121i | 0.258205 | + | 0.323779i | ||||
\(56\) | 7.31499 | + | 0.285127i | 0.977507 | + | 0.0381018i | ||||
\(57\) | −2.35047 | + | 2.94740i | −0.311328 | + | 0.390392i | ||||
\(58\) | 1.73342 | + | 0.534690i | 0.227610 | + | 0.0702083i | ||||
\(59\) | 2.99661 | − | 7.63524i | 0.390126 | − | 0.994024i | −0.592024 | − | 0.805921i | \(-0.701671\pi\) |
0.982149 | − | 0.188103i | \(-0.0602339\pi\) | |||||||
\(60\) | −1.92404 | + | 0.593489i | −0.248393 | + | 0.0766191i | ||||
\(61\) | −0.197327 | + | 2.63314i | −0.0252651 | + | 0.337139i | 0.970220 | + | 0.242224i | \(0.0778770\pi\) |
−0.995485 | + | 0.0949150i | \(0.969742\pi\) | |||||||
\(62\) | −0.157604 | + | 0.690506i | −0.0200157 | + | 0.0876944i | ||||
\(63\) | 0.869942 | + | 2.49864i | 0.109602 | + | 0.314799i | ||||
\(64\) | −0.957515 | − | 4.19515i | −0.119689 | − | 0.524394i | ||||
\(65\) | 5.72500 | − | 0.862905i | 0.710099 | − | 0.107030i | ||||
\(66\) | −1.37034 | − | 0.934283i | −0.168677 | − | 0.115002i | ||||
\(67\) | −2.13080 | − | 3.69065i | −0.260318 | − | 0.450884i | 0.706008 | − | 0.708204i | \(-0.250494\pi\) |
−0.966326 | + | 0.257319i | \(0.917161\pi\) | |||||||
\(68\) | −2.67091 | + | 4.62615i | −0.323895 | + | 0.561003i | ||||
\(69\) | −2.66223 | + | 1.28206i | −0.320495 | + | 0.154342i | ||||
\(70\) | 3.33897 | − | 0.889097i | 0.399083 | − | 0.106267i | ||||
\(71\) | 13.2041 | + | 6.35877i | 1.56704 | + | 0.754647i | 0.997721 | − | 0.0674700i | \(-0.0214927\pi\) |
0.569319 | + | 0.822117i | \(0.307207\pi\) | |||||||
\(72\) | 2.28613 | − | 1.55865i | 0.269423 | − | 0.183689i | ||||
\(73\) | −3.45312 | + | 3.20403i | −0.404157 | + | 0.375003i | −0.855897 | − | 0.517147i | \(-0.826994\pi\) |
0.451740 | + | 0.892150i | \(0.350804\pi\) | |||||||
\(74\) | 6.36637 | − | 5.90712i | 0.740075 | − | 0.686689i | ||||
\(75\) | 2.13300 | − | 1.45425i | 0.246297 | − | 0.167923i | ||||
\(76\) | 4.39765 | + | 2.11780i | 0.504445 | + | 0.242928i | ||||
\(77\) | −4.19931 | − | 3.10936i | −0.478556 | − | 0.354344i | ||||
\(78\) | −2.81689 | + | 1.35654i | −0.318950 | + | 0.153598i | ||||
\(79\) | 7.12262 | − | 12.3367i | 0.801357 | − | 1.38799i | −0.117366 | − | 0.993089i | \(-0.537445\pi\) |
0.918723 | − | 0.394902i | \(-0.129222\pi\) | |||||||
\(80\) | 0.206726 | + | 0.358060i | 0.0231127 | + | 0.0400323i | ||||
\(81\) | 0.826239 | + | 0.563320i | 0.0918043 | + | 0.0625911i | ||||
\(82\) | −8.65880 | + | 1.30510i | −0.956205 | + | 0.144125i | ||||
\(83\) | −0.636629 | − | 2.78925i | −0.0698791 | − | 0.306160i | 0.927895 | − | 0.372841i | \(-0.121616\pi\) |
−0.997774 | + | 0.0666807i | \(0.978759\pi\) | |||||||
\(84\) | 2.90336 | − | 1.81799i | 0.316782 | − | 0.198359i | ||||
\(85\) | −1.42771 | + | 6.25522i | −0.154857 | + | 0.678474i | ||||
\(86\) | −0.497498 | + | 6.63865i | −0.0536466 | + | 0.715864i | ||||
\(87\) | 2.06411 | − | 0.636693i | 0.221295 | − | 0.0682606i | ||||
\(88\) | −1.99638 | + | 5.08670i | −0.212815 | + | 0.542244i | ||||
\(89\) | 16.3237 | + | 5.03519i | 1.73031 | + | 0.533729i | 0.990309 | − | 0.138879i | \(-0.0443500\pi\) |
0.739999 | + | 0.672608i | \(0.234826\pi\) | |||||||
\(90\) | 0.814269 | − | 1.02106i | 0.0858315 | − | 0.107629i | ||||
\(91\) | −9.03427 | + | 3.92486i | −0.947049 | + | 0.411437i | ||||
\(92\) | 2.38534 | + | 2.99112i | 0.248689 | + | 0.311846i | ||||
\(93\) | 0.308121 | + | 0.785079i | 0.0319507 | + | 0.0814089i | ||||
\(94\) | −0.104672 | − | 1.39675i | −0.0107961 | − | 0.144064i | ||||
\(95\) | 5.79714 | + | 0.873778i | 0.594774 | + | 0.0896478i | ||||
\(96\) | −4.22024 | − | 3.91581i | −0.430727 | − | 0.399656i | ||||
\(97\) | 5.74864 | 0.583686 | 0.291843 | − | 0.956466i | \(-0.405732\pi\) | ||||
0.291843 | + | 0.956466i | \(0.405732\pi\) | |||||||
\(98\) | −5.10012 | + | 2.92339i | −0.515190 | + | 0.295307i | ||||
\(99\) | −1.97493 | −0.198488 | ||||||||
\(100\) | −2.45022 | − | 2.27347i | −0.245022 | − | 0.227347i | ||||
\(101\) | −15.2483 | − | 2.29831i | −1.51726 | − | 0.228690i | −0.663034 | − | 0.748589i | \(-0.730732\pi\) |
−0.854228 | + | 0.519899i | \(0.825970\pi\) | |||||||
\(102\) | −0.258924 | − | 3.45510i | −0.0256373 | − | 0.342106i | ||||
\(103\) | −3.76936 | − | 9.60418i | −0.371406 | − | 0.946328i | −0.987353 | − | 0.158540i | \(-0.949321\pi\) |
0.615946 | − | 0.787788i | \(-0.288774\pi\) | |||||||
\(104\) | 6.42260 | + | 8.05369i | 0.629788 | + | 0.789729i | ||||
\(105\) | 2.68868 | − | 3.11447i | 0.262389 | − | 0.303942i | ||||
\(106\) | 2.58108 | − | 3.23657i | 0.250697 | − | 0.314364i | ||||
\(107\) | 14.2127 | + | 4.38405i | 1.37400 | + | 0.423822i | 0.891875 | − | 0.452283i | \(-0.149390\pi\) |
0.482122 | + | 0.876104i | \(0.339866\pi\) | |||||||
\(108\) | 0.473024 | − | 1.20525i | 0.0455168 | − | 0.115975i | ||||
\(109\) | −11.4918 | + | 3.54475i | −1.10071 | + | 0.339525i | −0.791316 | − | 0.611408i | \(-0.790604\pi\) |
−0.309397 | + | 0.950933i | \(0.600127\pi\) | |||||||
\(110\) | −0.192746 | + | 2.57201i | −0.0183776 | + | 0.245232i | ||||
\(111\) | 2.30120 | − | 10.0822i | 0.218421 | − | 0.956963i | ||||
\(112\) | −0.496609 | − | 0.498160i | −0.0469251 | − | 0.0470717i | ||||
\(113\) | −2.11863 | − | 9.28234i | −0.199304 | − | 0.873209i | −0.971352 | − | 0.237645i | \(-0.923625\pi\) |
0.772048 | − | 0.635565i | \(-0.219233\pi\) | |||||||
\(114\) | −3.13055 | + | 0.471854i | −0.293203 | + | 0.0441932i | ||||
\(115\) | 3.79671 | + | 2.58855i | 0.354045 | + | 0.241384i | ||||
\(116\) | −1.39837 | − | 2.42205i | −0.129836 | − | 0.224882i | ||||
\(117\) | −1.86148 | + | 3.22417i | −0.172093 | + | 0.298075i | ||||
\(118\) | 6.20604 | − | 2.98867i | 0.571312 | − | 0.275129i | ||||
\(119\) | −0.391148 | − | 10.9087i | −0.0358564 | − | 1.00000i | ||||
\(120\) | −3.87677 | − | 1.86696i | −0.353899 | − | 0.170429i | ||||
\(121\) | −5.86602 | + | 3.99938i | −0.533275 | + | 0.363580i | ||||
\(122\) | −1.62554 | + | 1.50828i | −0.147169 | + | 0.136553i | ||||
\(123\) | −7.64360 | + | 7.09223i | −0.689201 | + | 0.639485i | ||||
\(124\) | 0.902222 | − | 0.615124i | 0.0810219 | − | 0.0552398i | ||||
\(125\) | −10.6227 | − | 5.11563i | −0.950124 | − | 0.457556i | ||||
\(126\) | −0.891687 | + | 2.03511i | −0.0794378 | + | 0.181302i | ||||
\(127\) | −2.42017 | + | 1.16549i | −0.214755 | + | 0.103421i | −0.538169 | − | 0.842837i | \(-0.680884\pi\) |
0.323414 | + | 0.946258i | \(0.395169\pi\) | |||||||
\(128\) | −3.95025 | + | 6.84204i | −0.349156 | + | 0.604757i | ||||
\(129\) | 3.96363 | + | 6.86521i | 0.348978 | + | 0.604448i | ||||
\(130\) | 4.01727 | + | 2.73893i | 0.352338 | + | 0.240220i | ||||
\(131\) | 17.9781 | − | 2.70977i | 1.57076 | − | 0.236754i | 0.694822 | − | 0.719182i | \(-0.255483\pi\) |
0.875936 | + | 0.482428i | \(0.160245\pi\) | |||||||
\(132\) | 0.568993 | + | 2.49292i | 0.0495245 | + | 0.216981i | ||||
\(133\) | −9.91314 | + | 1.10130i | −0.859578 | + | 0.0954944i | ||||
\(134\) | 0.796371 | − | 3.48913i | 0.0687959 | − | 0.301415i | ||||
\(135\) | 0.116215 | − | 1.55078i | 0.0100022 | − | 0.133470i | ||||
\(136\) | −10.9084 | + | 3.36481i | −0.935390 | + | 0.288530i | ||||
\(137\) | −3.70090 | + | 9.42974i | −0.316189 | + | 0.805637i | 0.681109 | + | 0.732182i | \(0.261498\pi\) |
−0.997299 | + | 0.0734553i | \(0.976597\pi\) | |||||||
\(138\) | −2.37122 | − | 0.731425i | −0.201852 | − | 0.0622630i | ||||
\(139\) | 7.34333 | − | 9.20824i | 0.622853 | − | 0.781033i | −0.365890 | − | 0.930658i | \(-0.619235\pi\) |
0.988743 | + | 0.149625i | \(0.0478068\pi\) | |||||||
\(140\) | −4.70599 | − | 2.49658i | −0.397728 | − | 0.210999i | ||||
\(141\) | −1.03990 | − | 1.30400i | −0.0875756 | − | 0.109816i | ||||
\(142\) | 4.49646 | + | 11.4568i | 0.377334 | + | 0.961432i | ||||
\(143\) | −0.549457 | − | 7.33199i | −0.0459479 | − | 0.613132i | ||||
\(144\) | −0.262894 | − | 0.0396249i | −0.0219078 | − | 0.00330207i | ||||
\(145\) | −2.46246 | − | 2.28483i | −0.204496 | − | 0.189745i | ||||
\(146\) | −3.95594 | −0.327396 | ||||||||
\(147\) | −3.05683 | + | 6.29728i | −0.252123 | + | 0.519391i | ||||
\(148\) | −13.3897 | −1.10062 | ||||||||
\(149\) | −11.4118 | − | 10.5886i | −0.934895 | − | 0.867456i | 0.0564944 | − | 0.998403i | \(-0.482008\pi\) |
−0.991389 | + | 0.130947i | \(0.958198\pi\) | |||||||
\(150\) | 2.14378 | + | 0.323122i | 0.175039 | + | 0.0263828i | ||||
\(151\) | 0.677882 | + | 9.04571i | 0.0551653 | + | 0.736129i | 0.954375 | + | 0.298611i | \(0.0965234\pi\) |
−0.899210 | + | 0.437518i | \(0.855858\pi\) | |||||||
\(152\) | 3.81082 | + | 9.70982i | 0.309098 | + | 0.787570i | ||||
\(153\) | −2.57237 | − | 3.22565i | −0.207964 | − | 0.260778i | ||||
\(154\) | −0.809069 | − | 4.31283i | −0.0651966 | − | 0.347537i | ||||
\(155\) | 0.817746 | − | 1.02542i | 0.0656829 | − | 0.0823638i | ||||
\(156\) | 4.60613 | + | 1.42080i | 0.368785 | + | 0.113755i | ||||
\(157\) | 7.93645 | − | 20.2218i | 0.633398 | − | 1.61387i | −0.147392 | − | 0.989078i | \(-0.547088\pi\) |
0.780790 | − | 0.624793i | \(-0.214817\pi\) | |||||||
\(158\) | 11.4316 | − | 3.52617i | 0.909447 | − | 0.280527i | ||||
\(159\) | 0.368379 | − | 4.91568i | 0.0292144 | − | 0.389839i | ||||
\(160\) | −1.99223 | + | 8.72853i | −0.157500 | + | 0.690051i | ||||
\(161\) | −7.37506 | − | 2.59356i | −0.581236 | − | 0.204401i | ||||
\(162\) | 0.186872 | + | 0.818738i | 0.0146820 | + | 0.0643261i | ||||
\(163\) | −22.1163 | + | 3.33349i | −1.73228 | + | 0.261099i | −0.938045 | − | 0.346513i | \(-0.887366\pi\) |
−0.794234 | + | 0.607612i | \(0.792127\pi\) | |||||||
\(164\) | 11.1546 | + | 7.60508i | 0.871028 | + | 0.593857i | ||||
\(165\) | 1.53563 | + | 2.65979i | 0.119549 | + | 0.207065i | ||||
\(166\) | 1.20132 | − | 2.08074i | 0.0932403 | − | 0.161497i | ||||
\(167\) | −8.08364 | + | 3.89288i | −0.625531 | + | 0.301240i | −0.719667 | − | 0.694320i | \(-0.755705\pi\) |
0.0941360 | + | 0.995559i | \(0.469991\pi\) | |||||||
\(168\) | 7.19079 | + | 1.37219i | 0.554782 | + | 0.105866i | ||||
\(169\) | −0.775155 | − | 0.373295i | −0.0596273 | − | 0.0287150i | ||||
\(170\) | −4.45193 | + | 3.03527i | −0.341447 | + | 0.232795i | ||||
\(171\) | −2.76351 | + | 2.56416i | −0.211331 | + | 0.196086i | ||||
\(172\) | 7.52390 | − | 6.98116i | 0.573692 | − | 0.532308i | ||||
\(173\) | −5.56390 | + | 3.79340i | −0.423016 | + | 0.288407i | −0.756058 | − | 0.654505i | \(-0.772877\pi\) |
0.333042 | + | 0.942912i | \(0.391925\pi\) | |||||||
\(174\) | 1.63437 | + | 0.787072i | 0.123901 | + | 0.0596677i | ||||
\(175\) | 6.70915 | + | 1.28028i | 0.507164 | + | 0.0967797i | ||||
\(176\) | 0.473063 | − | 0.227815i | 0.0356585 | − | 0.0171722i | ||||
\(177\) | 4.10112 | − | 7.10334i | 0.308259 | − | 0.533920i | ||||
\(178\) | 7.17294 | + | 12.4239i | 0.537634 | + | 0.931210i | ||||
\(179\) | −1.32150 | − | 0.900985i | −0.0987737 | − | 0.0673428i | 0.512926 | − | 0.858433i | \(-0.328562\pi\) |
−0.611700 | + | 0.791090i | \(0.709514\pi\) | |||||||
\(180\) | −1.99101 | + | 0.300096i | −0.148401 | + | 0.0223679i | ||||
\(181\) | −4.10323 | − | 17.9774i | −0.304991 | − | 1.33625i | −0.862490 | − | 0.506075i | \(-0.831096\pi\) |
0.557499 | − | 0.830178i | \(-0.311761\pi\) | |||||||
\(182\) | −7.80350 | − | 2.74422i | −0.578434 | − | 0.203415i | ||||
\(183\) | −0.587572 | + | 2.57432i | −0.0434346 | + | 0.190299i | ||||
\(184\) | −0.610979 | + | 8.15294i | −0.0450419 | + | 0.601043i | ||||
\(185\) | −15.3679 | + | 4.74037i | −1.12987 | + | 0.348519i | ||||
\(186\) | −0.258758 | + | 0.659304i | −0.0189731 | + | 0.0483426i | ||||
\(187\) | 7.78607 | + | 2.40169i | 0.569374 | + | 0.175629i | ||||
\(188\) | −1.34641 | + | 1.68835i | −0.0981971 | + | 0.123135i | ||||
\(189\) | 0.487823 | + | 2.60039i | 0.0354839 | + | 0.189151i | ||||
\(190\) | 3.06968 | + | 3.84926i | 0.222698 | + | 0.279255i | ||||
\(191\) | 1.49470 | + | 3.80842i | 0.108152 | + | 0.275568i | 0.974696 | − | 0.223533i | \(-0.0717590\pi\) |
−0.866544 | + | 0.499101i | \(0.833664\pi\) | |||||||
\(192\) | −0.321566 | − | 4.29100i | −0.0232070 | − | 0.309676i | ||||
\(193\) | 16.3389 | + | 2.46269i | 1.17610 | + | 0.177269i | 0.707873 | − | 0.706339i | \(-0.249655\pi\) |
0.468227 | + | 0.883608i | \(0.344893\pi\) | |||||||
\(194\) | 3.53893 | + | 3.28365i | 0.254080 | + | 0.235752i | ||||
\(195\) | 5.78966 | 0.414606 | ||||||||
\(196\) | 8.82966 | + | 2.04430i | 0.630690 | + | 0.146021i | ||||
\(197\) | −11.1608 | −0.795175 | −0.397587 | − | 0.917564i | \(-0.630152\pi\) | ||||
−0.397587 | + | 0.917564i | \(0.630152\pi\) | |||||||
\(198\) | −1.21579 | − | 1.12809i | −0.0864023 | − | 0.0801696i | ||||
\(199\) | 7.12386 | + | 1.07375i | 0.504997 | + | 0.0761160i | 0.396600 | − | 0.917992i | \(-0.370190\pi\) |
0.108397 | + | 0.994108i | \(0.465428\pi\) | |||||||
\(200\) | −0.533796 | − | 7.12301i | −0.0377451 | − | 0.503673i | ||||
\(201\) | −1.55693 | − | 3.96700i | −0.109818 | − | 0.279811i | ||||
\(202\) | −8.07423 | − | 10.1248i | −0.568101 | − | 0.712376i | ||||
\(203\) | 5.04856 | + | 2.67832i | 0.354340 | + | 0.187981i | ||||
\(204\) | −3.33057 | + | 4.17640i | −0.233186 | + | 0.292406i | ||||
\(205\) | 15.4951 | + | 4.77959i | 1.08222 | + | 0.333821i | ||||
\(206\) | 3.16549 | − | 8.06553i | 0.220550 | − | 0.561952i | ||||
\(207\) | −2.82358 | + | 0.870958i | −0.196252 | + | 0.0605358i | ||||
\(208\) | 0.0739676 | − | 0.987029i | 0.00512873 | − | 0.0684381i | ||||
\(209\) | 1.65671 | − | 7.25854i | 0.114597 | − | 0.502083i | ||||
\(210\) | 3.43419 | − | 0.381520i | 0.236981 | − | 0.0263274i | ||||
\(211\) | 0.553514 | + | 2.42510i | 0.0381055 | + | 0.166951i | 0.990400 | − | 0.138228i | \(-0.0441408\pi\) |
−0.952295 | + | 0.305179i | \(0.901284\pi\) | |||||||
\(212\) | −6.31112 | + | 0.951249i | −0.433450 | + | 0.0653320i | ||||
\(213\) | 12.1089 | + | 8.25572i | 0.829689 | + | 0.565672i | ||||
\(214\) | 6.24534 | + | 10.8172i | 0.426923 | + | 0.739452i | ||||
\(215\) | 6.16395 | − | 10.6763i | 0.420378 | − | 0.728116i | ||||
\(216\) | 2.49290 | − | 1.20052i | 0.169620 | − | 0.0816848i | ||||
\(217\) | −0.895495 | + | 2.04380i | −0.0607901 | + | 0.138742i | ||||
\(218\) | −9.09926 | − | 4.38197i | −0.616279 | − | 0.296785i | ||||
\(219\) | −3.89209 | + | 2.65358i | −0.263003 | + | 0.179312i | ||||
\(220\) | 2.91499 | − | 2.70471i | 0.196528 | − | 0.182352i | ||||
\(221\) | 11.2597 | − | 10.4475i | 0.757408 | − | 0.702772i | ||||
\(222\) | 7.17567 | − | 4.89229i | 0.481599 | − | 0.328349i | ||||
\(223\) | −1.24604 | − | 0.600062i | −0.0834411 | − | 0.0401831i | 0.391698 | − | 0.920094i | \(-0.371888\pi\) |
−0.475139 | + | 0.879911i | \(0.657602\pi\) | |||||||
\(224\) | −0.545807 | − | 15.2220i | −0.0364683 | − | 1.01706i | ||||
\(225\) | 2.32592 | − | 1.12010i | 0.155061 | − | 0.0746736i | ||||
\(226\) | 3.99786 | − | 6.92450i | 0.265934 | − | 0.460611i | ||||
\(227\) | 6.72599 | + | 11.6497i | 0.446419 | + | 0.773221i | 0.998150 | − | 0.0608014i | \(-0.0193656\pi\) |
−0.551731 | + | 0.834022i | \(0.686032\pi\) | |||||||
\(228\) | 4.03289 | + | 2.74958i | 0.267085 | + | 0.182095i | ||||
\(229\) | 22.9583 | − | 3.46040i | 1.51712 | − | 0.228670i | 0.662953 | − | 0.748661i | \(-0.269303\pi\) |
0.854171 | + | 0.519991i | \(0.174065\pi\) | |||||||
\(230\) | 0.858708 | + | 3.76224i | 0.0566215 | + | 0.248075i | ||||
\(231\) | −3.68898 | − | 3.70050i | −0.242717 | − | 0.243475i | ||||
\(232\) | 1.32995 | − | 5.82687i | 0.0873152 | − | 0.382553i | ||||
\(233\) | −1.84558 | + | 24.6275i | −0.120908 | + | 1.61340i | 0.525761 | + | 0.850632i | \(0.323781\pi\) |
−0.646669 | + | 0.762771i | \(0.723839\pi\) | |||||||
\(234\) | −2.98761 | + | 0.921555i | −0.195306 | + | 0.0602439i | ||||
\(235\) | −0.947607 | + | 2.41446i | −0.0618151 | + | 0.157502i | ||||
\(236\) | −10.1480 | − | 3.13024i | −0.660579 | − | 0.203762i | ||||
\(237\) | 8.88176 | − | 11.1374i | 0.576932 | − | 0.723450i | ||||
\(238\) | 5.99032 | − | 6.93897i | 0.388295 | − | 0.449787i | ||||
\(239\) | −2.37269 | − | 2.97526i | −0.153476 | − | 0.192453i | 0.699149 | − | 0.714976i | \(-0.253562\pi\) |
−0.852625 | + | 0.522523i | \(0.824991\pi\) | |||||||
\(240\) | 0.151051 | + | 0.384871i | 0.00975029 | + | 0.0248433i | ||||
\(241\) | 0.933186 | + | 12.4525i | 0.0601118 | + | 0.802137i | 0.943051 | + | 0.332649i | \(0.107942\pi\) |
−0.882939 | + | 0.469488i | \(0.844439\pi\) | |||||||
\(242\) | −5.89566 | − | 0.888628i | −0.378987 | − | 0.0571232i | ||||
\(243\) | 0.733052 | + | 0.680173i | 0.0470253 | + | 0.0436331i | ||||
\(244\) | 3.41881 | 0.218867 | ||||||||
\(245\) | 10.8579 | − | 0.779656i | 0.693688 | − | 0.0498104i | ||||
\(246\) | −8.75661 | −0.558301 | ||||||||
\(247\) | −10.2884 | − | 9.54624i | −0.654635 | − | 0.607412i | ||||
\(248\) | 2.30749 | + | 0.347798i | 0.146526 | + | 0.0220852i | ||||
\(249\) | −0.213802 | − | 2.85298i | −0.0135491 | − | 0.180800i | ||||
\(250\) | −3.61740 | − | 9.21699i | −0.228785 | − | 0.582933i | ||||
\(251\) | 2.94025 | + | 3.68696i | 0.185587 | + | 0.232719i | 0.865918 | − | 0.500186i | \(-0.166735\pi\) |
−0.680331 | + | 0.732905i | \(0.738164\pi\) | |||||||
\(252\) | 3.14189 | − | 1.36497i | 0.197920 | − | 0.0859847i | ||||
\(253\) | 3.63845 | − | 4.56247i | 0.228747 | − | 0.286840i | ||||
\(254\) | −2.15562 | − | 0.664921i | −0.135256 | − | 0.0417208i | ||||
\(255\) | −2.34406 | + | 5.97256i | −0.146791 | + | 0.374017i | ||||
\(256\) | −14.5638 | + | 4.49232i | −0.910235 | + | 0.280770i | ||||
\(257\) | −0.382042 | + | 5.09800i | −0.0238312 | + | 0.318005i | 0.972530 | + | 0.232776i | \(0.0747810\pi\) |
−0.996361 | + | 0.0852283i | \(0.972838\pi\) | |||||||
\(258\) | −1.48138 | + | 6.49035i | −0.0922267 | + | 0.404072i | ||||
\(259\) | 23.1900 | − | 14.5208i | 1.44095 | − | 0.902281i | ||||
\(260\) | −1.66805 | − | 7.30821i | −0.103448 | − | 0.453236i | ||||
\(261\) | 2.13595 | − | 0.321942i | 0.132212 | − | 0.0199277i | ||||
\(262\) | 12.6154 | + | 8.60103i | 0.779382 | + | 0.531374i | ||||
\(263\) | 10.9785 | + | 19.0154i | 0.676966 | + | 1.17254i | 0.975890 | + | 0.218263i | \(0.0700389\pi\) |
−0.298924 | + | 0.954277i | \(0.596628\pi\) | |||||||
\(264\) | −2.73222 | + | 4.73234i | −0.168156 | + | 0.291255i | ||||
\(265\) | −6.90678 | + | 3.32613i | −0.424280 | + | 0.204323i | ||||
\(266\) | −6.73171 | − | 4.98446i | −0.412748 | − | 0.305617i | ||||
\(267\) | 15.3909 | + | 7.41187i | 0.941909 | + | 0.453599i | ||||
\(268\) | −4.55892 | + | 3.10822i | −0.278481 | + | 0.189865i | ||||
\(269\) | −19.9467 | + | 18.5079i | −1.21617 | + | 1.12844i | −0.228234 | + | 0.973606i | \(0.573295\pi\) |
−0.987940 | + | 0.154838i | \(0.950514\pi\) | |||||||
\(270\) | 0.957356 | − | 0.888296i | 0.0582628 | − | 0.0540600i | ||||
\(271\) | 2.05651 | − | 1.40211i | 0.124924 | − | 0.0851720i | −0.499246 | − | 0.866460i | \(-0.666390\pi\) |
0.624170 | + | 0.781288i | \(0.285437\pi\) | |||||||
\(272\) | 0.988263 | + | 0.475922i | 0.0599222 | + | 0.0288570i | ||||
\(273\) | −9.51833 | + | 2.53453i | −0.576076 | + | 0.153397i | ||||
\(274\) | −7.66463 | + | 3.69109i | −0.463037 | + | 0.222987i | ||||
\(275\) | −2.54921 | + | 4.41536i | −0.153723 | + | 0.266256i | ||||
\(276\) | 1.91289 | + | 3.31323i | 0.115143 | + | 0.199433i | ||||
\(277\) | −2.92681 | − | 1.99546i | −0.175855 | − | 0.119896i | 0.472194 | − | 0.881495i | \(-0.343462\pi\) |
−0.648049 | + | 0.761599i | \(0.724415\pi\) | |||||||
\(278\) | 9.78043 | − | 1.47416i | 0.586591 | − | 0.0884144i | ||||
\(279\) | 0.187669 | + | 0.822234i | 0.0112355 | + | 0.0492258i | ||||
\(280\) | −3.74327 | − | 10.7514i | −0.223703 | − | 0.642518i | ||||
\(281\) | −2.54829 | + | 11.1648i | −0.152018 | + | 0.666034i | 0.840279 | + | 0.542154i | \(0.182391\pi\) |
−0.992297 | + | 0.123880i | \(0.960466\pi\) | |||||||
\(282\) | 0.104672 | − | 1.39675i | 0.00623314 | − | 0.0831755i | ||||
\(283\) | −26.3880 | + | 8.13963i | −1.56860 | + | 0.483850i | −0.952685 | − | 0.303959i | \(-0.901692\pi\) |
−0.615920 | + | 0.787809i | \(0.711215\pi\) | |||||||
\(284\) | 6.93239 | − | 17.6634i | 0.411362 | − | 1.04813i | ||||
\(285\) | 5.60216 | + | 1.72804i | 0.331843 | + | 0.102360i | ||||
\(286\) | 3.84982 | − | 4.82752i | 0.227644 | − | 0.285457i | ||||
\(287\) | −27.5666 | − | 1.07450i | −1.62720 | − | 0.0634259i | ||||
\(288\) | −3.58948 | − | 4.50107i | −0.211512 | − | 0.265228i | ||||
\(289\) | 0.00799793 | + | 0.0203784i | 0.000470467 | + | 0.00119873i | ||||
\(290\) | −0.210816 | − | 2.81314i | −0.0123795 | − | 0.165193i | ||||
\(291\) | 5.68443 | + | 0.856790i | 0.333227 | + | 0.0502259i | ||||
\(292\) | 4.47092 | + | 4.14840i | 0.261641 | + | 0.242767i | ||||
\(293\) | −9.10545 | −0.531946 | −0.265973 | − | 0.963981i | \(-0.585693\pi\) | ||||
−0.265973 | + | 0.963981i | \(0.585693\pi\) | |||||||
\(294\) | −5.47886 | + | 2.13061i | −0.319534 | + | 0.124259i | ||||
\(295\) | −12.7555 | −0.742655 | ||||||||
\(296\) | −20.9756 | − | 19.4625i | −1.21918 | − | 1.13123i | ||||
\(297\) | −1.95287 | − | 0.294347i | −0.113317 | − | 0.0170798i | ||||
\(298\) | −0.976988 | − | 13.0370i | −0.0565954 | − | 0.755213i | ||||
\(299\) | −4.01903 | − | 10.2403i | −0.232427 | − | 0.592213i | ||||
\(300\) | −2.08401 | − | 2.61326i | −0.120320 | − | 0.150877i | ||||
\(301\) | −5.45993 | + | 20.2504i | −0.314705 | + | 1.16721i | ||||
\(302\) | −4.74964 | + | 5.95586i | −0.273311 | + | 0.342721i | ||||
\(303\) | −14.7354 | − | 4.54528i | −0.846529 | − | 0.261120i | ||||
\(304\) | 0.366170 | − | 0.932986i | 0.0210013 | − | 0.0535104i | ||||
\(305\) | 3.92392 | − | 1.21037i | 0.224683 | − | 0.0693056i | ||||
\(306\) | 0.258924 | − | 3.45510i | 0.0148017 | − | 0.197515i | ||||
\(307\) | −1.86877 | + | 8.18761i | −0.106656 | + | 0.467292i | 0.893189 | + | 0.449682i | \(0.148463\pi\) |
−0.999845 | + | 0.0176095i | \(0.994394\pi\) | |||||||
\(308\) | −3.60826 | + | 5.72270i | −0.205600 | + | 0.326081i | ||||
\(309\) | −2.29583 | − | 10.0587i | −0.130605 | − | 0.572220i | ||||
\(310\) | 1.08914 | − | 0.164161i | 0.0618590 | − | 0.00932374i | ||||
\(311\) | 10.1115 | + | 6.89392i | 0.573372 | + | 0.390918i | 0.815009 | − | 0.579448i | \(-0.196732\pi\) |
−0.241637 | + | 0.970367i | \(0.577684\pi\) | |||||||
\(312\) | 5.15053 | + | 8.92098i | 0.291591 | + | 0.505051i | ||||
\(313\) | −8.82627 | + | 15.2876i | −0.498890 | + | 0.864104i | −0.999999 | − | 0.00128070i | \(-0.999592\pi\) |
0.501109 | + | 0.865384i | \(0.332926\pi\) | |||||||
\(314\) | 16.4365 | − | 7.91542i | 0.927567 | − | 0.446693i | ||||
\(315\) | 3.12284 | − | 2.67896i | 0.175952 | − | 0.150942i | ||||
\(316\) | −16.6174 | − | 8.00254i | −0.934804 | − | 0.450178i | ||||
\(317\) | −7.07629 | + | 4.82453i | −0.397444 | + | 0.270973i | −0.745506 | − | 0.666499i | \(-0.767792\pi\) |
0.348062 | + | 0.937471i | \(0.386840\pi\) | |||||||
\(318\) | 3.03464 | − | 2.81573i | 0.170174 | − | 0.157898i | ||||
\(319\) | −3.12719 | + | 2.90161i | −0.175089 | + | 0.162459i | ||||
\(320\) | −5.52900 | + | 3.76961i | −0.309080 | + | 0.210728i | ||||
\(321\) | 13.4006 | + | 6.45338i | 0.747947 | + | 0.360192i | ||||
\(322\) | −3.05873 | − | 5.80930i | −0.170456 | − | 0.323739i | ||||
\(323\) | 14.0133 | − | 6.74843i | 0.779719 | − | 0.375493i | ||||
\(324\) | 0.647373 | − | 1.12128i | 0.0359652 | − | 0.0622935i | ||||
\(325\) | 4.80554 | + | 8.32344i | 0.266563 | + | 0.461701i | ||||
\(326\) | −15.5191 | − | 10.5808i | −0.859526 | − | 0.586015i | ||||
\(327\) | −11.8917 | + | 1.79239i | −0.657615 | + | 0.0991195i | ||||
\(328\) | 6.41991 | + | 28.1275i | 0.354480 | + | 1.55308i | ||||
\(329\) | 0.500910 | − | 4.38426i | 0.0276161 | − | 0.241712i | ||||
\(330\) | −0.573932 | + | 2.51456i | −0.0315939 | + | 0.138422i | ||||
\(331\) | −1.07459 | + | 14.3394i | −0.0590649 | + | 0.788166i | 0.886499 | + | 0.462730i | \(0.153130\pi\) |
−0.945564 | + | 0.325436i | \(0.894489\pi\) | |||||||
\(332\) | −3.53968 | + | 1.09185i | −0.194265 | + | 0.0599229i | ||||
\(333\) | 3.77818 | − | 9.62665i | 0.207043 | − | 0.527537i | ||||
\(334\) | −7.20001 | − | 2.22091i | −0.393967 | − | 0.121523i | ||||
\(335\) | −4.13207 | + | 5.18145i | −0.225759 | + | 0.283093i | ||||
\(336\) | −0.416816 | − | 0.566612i | −0.0227392 | − | 0.0309112i | ||||
\(337\) | −10.5880 | − | 13.2769i | −0.576765 | − | 0.723240i | 0.404792 | − | 0.914409i | \(-0.367344\pi\) |
−0.981557 | + | 0.191168i | \(0.938772\pi\) | |||||||
\(338\) | −0.263967 | − | 0.672577i | −0.0143579 | − | 0.0365834i | ||||
\(339\) | −0.711509 | − | 9.49443i | −0.0386439 | − | 0.515667i | ||||
\(340\) | 8.21442 | + | 1.23812i | 0.445490 | + | 0.0671467i | ||||
\(341\) | −1.22098 | − | 1.13290i | −0.0661197 | − | 0.0613502i | ||||
\(342\) | −3.16591 | −0.171193 | ||||||||
\(343\) | −17.5094 | + | 6.03504i | −0.945418 | + | 0.325861i | ||||
\(344\) | 21.9340 | 1.18260 | ||||||||
\(345\) | 3.36850 | + | 3.12551i | 0.181354 | + | 0.168272i | ||||
\(346\) | −5.59202 | − | 0.842861i | −0.300629 | − | 0.0453125i | ||||
\(347\) | 0.753056 | + | 10.0488i | 0.0404261 | + | 0.539449i | 0.980246 | + | 0.197780i | \(0.0633732\pi\) |
−0.939820 | + | 0.341669i | \(0.889008\pi\) | |||||||
\(348\) | −1.02177 | − | 2.60342i | −0.0547724 | − | 0.139558i | ||||
\(349\) | −11.5611 | − | 14.4972i | −0.618852 | − | 0.776015i | 0.369331 | − | 0.929298i | \(-0.379587\pi\) |
−0.988182 | + | 0.153283i | \(0.951016\pi\) | |||||||
\(350\) | 3.39893 | + | 4.62045i | 0.181681 | + | 0.246973i | ||||
\(351\) | −2.32122 | + | 2.91072i | −0.123898 | + | 0.155363i | ||||
\(352\) | 10.8647 | + | 3.35131i | 0.579090 | + | 0.178626i | ||||
\(353\) | 3.68758 | − | 9.39580i | 0.196270 | − | 0.500088i | −0.798528 | − | 0.601958i | \(-0.794387\pi\) |
0.994798 | + | 0.101870i | \(0.0324826\pi\) | |||||||
\(354\) | 6.58216 | − | 2.03033i | 0.349838 | − | 0.107911i | ||||
\(355\) | 1.70318 | − | 22.7274i | 0.0903955 | − | 1.20624i | ||||
\(356\) | 4.92165 | − | 21.5631i | 0.260847 | − | 1.14284i | ||||
\(357\) | 1.23908 | − | 10.8452i | 0.0655792 | − | 0.573988i | ||||
\(358\) | −0.298886 | − | 1.30951i | −0.0157966 | − | 0.0692095i | ||||
\(359\) | 32.9820 | − | 4.97124i | 1.74072 | − | 0.262372i | 0.799625 | − | 0.600500i | \(-0.205032\pi\) |
0.941100 | + | 0.338128i | \(0.109794\pi\) | |||||||
\(360\) | −3.55522 | − | 2.42391i | −0.187376 | − | 0.127751i | ||||
\(361\) | 2.39406 | + | 4.14664i | 0.126003 | + | 0.218244i | ||||
\(362\) | 7.74280 | − | 13.4109i | 0.406952 | − | 0.704862i | ||||
\(363\) | −6.39658 | + | 3.08043i | −0.335733 | + | 0.161681i | ||||
\(364\) | 5.94161 | + | 11.2846i | 0.311425 | + | 0.591475i | ||||
\(365\) | 6.60014 | + | 3.17846i | 0.345467 | + | 0.166368i | ||||
\(366\) | −1.83218 | + | 1.24916i | −0.0957697 | + | 0.0652947i | ||||
\(367\) | 12.8909 | − | 11.9610i | 0.672898 | − | 0.624358i | −0.267851 | − | 0.963460i | \(-0.586314\pi\) |
0.940750 | + | 0.339102i | \(0.110123\pi\) | |||||||
\(368\) | 0.575876 | − | 0.534335i | 0.0300196 | − | 0.0278542i | ||||
\(369\) | −8.61527 | + | 5.87379i | −0.448493 | + | 0.305777i | ||||
\(370\) | −12.1684 | − | 5.85998i | −0.632604 | − | 0.304646i | ||||
\(371\) | 9.89882 | − | 8.49180i | 0.513921 | − | 0.440872i | ||||
\(372\) | 0.983824 | − | 0.473785i | 0.0510089 | − | 0.0245646i | ||||
\(373\) | 7.69839 | − | 13.3340i | 0.398607 | − | 0.690408i | −0.594947 | − | 0.803765i | \(-0.702827\pi\) |
0.993554 | + | 0.113357i | \(0.0361603\pi\) | |||||||
\(374\) | 3.42135 | + | 5.92595i | 0.176914 | + | 0.306424i | ||||
\(375\) | −9.74162 | − | 6.64173i | −0.503055 | − | 0.342977i | ||||
\(376\) | −4.56331 | + | 0.687809i | −0.235335 | + | 0.0354710i | ||||
\(377\) | 1.78948 | + | 7.84022i | 0.0921628 | + | 0.403792i | ||||
\(378\) | −1.18505 | + | 1.87948i | −0.0609521 | + | 0.0966699i | ||||
\(379\) | −1.76360 | + | 7.72682i | −0.0905899 | + | 0.396900i | −0.999812 | − | 0.0194121i | \(-0.993821\pi\) |
0.909222 | + | 0.416312i | \(0.136678\pi\) | |||||||
\(380\) | 0.567247 | − | 7.56939i | 0.0290992 | − | 0.388301i | ||||
\(381\) | −2.56685 | + | 0.791767i | −0.131503 | + | 0.0405634i | ||||
\(382\) | −1.25524 | + | 3.19829i | −0.0642234 | + | 0.163639i | ||||
\(383\) | −20.5400 | − | 6.33575i | −1.04955 | − | 0.323742i | −0.278443 | − | 0.960453i | \(-0.589818\pi\) |
−0.771103 | + | 0.636711i | \(0.780294\pi\) | |||||||
\(384\) | −4.92589 | + | 6.17687i | −0.251373 | + | 0.315212i | ||||
\(385\) | −2.11534 | + | 7.84563i | −0.107808 | + | 0.399850i | ||||
\(386\) | 8.65173 | + | 10.8489i | 0.440361 | + | 0.552196i | ||||
\(387\) | 2.89615 | + | 7.37928i | 0.147220 | + | 0.375110i | ||||
\(388\) | −0.556218 | − | 7.42222i | −0.0282377 | − | 0.376806i | ||||
\(389\) | 9.44730 | + | 1.42395i | 0.478997 | + | 0.0721972i | 0.384103 | − | 0.923290i | \(-0.374511\pi\) |
0.0948940 | + | 0.995487i | \(0.469749\pi\) | |||||||
\(390\) | 3.56419 | + | 3.30708i | 0.180480 | + | 0.167461i | ||||
\(391\) | 12.1910 | 0.616526 | ||||||||
\(392\) | 10.8606 | + | 16.0368i | 0.548545 | + | 0.809982i | ||||
\(393\) | 18.1812 | 0.917121 | ||||||||
\(394\) | −6.87073 | − | 6.37511i | −0.346142 | − | 0.321173i | ||||
\(395\) | −21.9057 | − | 3.30176i | −1.10220 | − | 0.166129i | ||||
\(396\) | 0.191087 | + | 2.54988i | 0.00960249 | + | 0.128136i | ||||
\(397\) | 6.96208 | + | 17.7391i | 0.349417 | + | 0.890300i | 0.992246 | + | 0.124290i | \(0.0396654\pi\) |
−0.642829 | + | 0.766010i | \(0.722239\pi\) | |||||||
\(398\) | 3.77220 | + | 4.73019i | 0.189083 | + | 0.237103i | ||||
\(399\) | −9.96655 | − | 0.388481i | −0.498952 | − | 0.0194484i | ||||
\(400\) | −0.427930 | + | 0.536608i | −0.0213965 | + | 0.0268304i | ||||
\(401\) | 30.9027 | + | 9.53221i | 1.54321 | + | 0.476016i | 0.945479 | − | 0.325684i | \(-0.105595\pi\) |
0.597727 | + | 0.801700i | \(0.296071\pi\) | |||||||
\(402\) | 1.30750 | − | 3.33146i | 0.0652123 | − | 0.166158i | ||||
\(403\) | −3.00036 | + | 0.925489i | −0.149459 | + | 0.0461019i | ||||
\(404\) | −1.49204 | + | 19.9099i | −0.0742316 | + | 0.990552i | ||||
\(405\) | 0.346049 | − | 1.51614i | 0.0171953 | − | 0.0753375i | ||||
\(406\) | 1.57809 | + | 4.53257i | 0.0783192 | + | 0.224948i | ||||
\(407\) | 4.54471 | + | 19.9117i | 0.225273 | + | 0.986985i | ||||
\(408\) | −11.2881 | + | 1.70141i | −0.558844 | + | 0.0842321i | ||||
\(409\) | −11.6265 | − | 7.92678i | −0.574891 | − | 0.391954i | 0.240685 | − | 0.970603i | \(-0.422628\pi\) |
−0.815577 | + | 0.578649i | \(0.803580\pi\) | |||||||
\(410\) | 6.80882 | + | 11.7932i | 0.336264 | + | 0.582426i | ||||
\(411\) | −5.06499 | + | 8.77283i | −0.249838 | + | 0.432732i | ||||
\(412\) | −12.0355 | + | 5.79599i | −0.592947 | + | 0.285548i | ||||
\(413\) | 20.9703 | − | 5.58397i | 1.03188 | − | 0.274769i | ||||
\(414\) | −2.23572 | − | 1.07667i | −0.109880 | − | 0.0529153i | ||||
\(415\) | −3.67610 | + | 2.50632i | −0.180453 | + | 0.123030i | ||||
\(416\) | 15.7117 | − | 14.5784i | 0.770332 | − | 0.714763i | ||||
\(417\) | 8.63372 | − | 8.01093i | 0.422795 | − | 0.392297i | ||||
\(418\) | 5.16600 | − | 3.52212i | 0.252677 | − | 0.172273i | ||||
\(419\) | 0.877545 | + | 0.422604i | 0.0428709 | + | 0.0206455i | 0.455196 | − | 0.890391i | \(-0.349569\pi\) |
−0.412325 | + | 0.911037i | \(0.635283\pi\) | |||||||
\(420\) | −4.28133 | − | 3.17008i | −0.208907 | − | 0.154684i | ||||
\(421\) | 14.9287 | − | 7.18927i | 0.727579 | − | 0.350384i | −0.0331525 | − | 0.999450i | \(-0.510555\pi\) |
0.760731 | + | 0.649067i | \(0.224840\pi\) | |||||||
\(422\) | −1.04448 | + | 1.80909i | −0.0508445 | + | 0.0880652i | ||||
\(423\) | −0.833938 | − | 1.44442i | −0.0405474 | − | 0.0702302i | ||||
\(424\) | −11.2694 | − | 7.68333i | −0.547289 | − | 0.373136i | ||||
\(425\) | −10.5320 | + | 1.58744i | −0.510877 | + | 0.0770023i | ||||
\(426\) | 2.73869 | + | 11.9990i | 0.132690 | + | 0.581353i | ||||
\(427\) | −5.92115 | + | 3.70764i | −0.286545 | + | 0.179425i | ||||
\(428\) | 4.28518 | − | 18.7746i | 0.207132 | − | 0.907505i | ||||
\(429\) | 0.549457 | − | 7.33199i | 0.0265280 | − | 0.353992i | ||||
\(430\) | 9.89295 | − | 3.05157i | 0.477080 | − | 0.147160i | ||||
\(431\) | −11.3514 | + | 28.9228i | −0.546777 | + | 1.39316i | 0.344106 | + | 0.938931i | \(0.388182\pi\) |
−0.890883 | + | 0.454233i | \(0.849913\pi\) | |||||||
\(432\) | −0.254052 | − | 0.0783646i | −0.0122231 | − | 0.00377032i | ||||
\(433\) | 5.99900 | − | 7.52251i | 0.288294 | − | 0.361509i | −0.616503 | − | 0.787352i | \(-0.711451\pi\) |
0.904797 | + | 0.425844i | \(0.140023\pi\) | |||||||
\(434\) | −1.71870 | + | 0.746676i | −0.0825004 | + | 0.0358416i | ||||
\(435\) | −2.09442 | − | 2.62632i | −0.100420 | − | 0.125922i | ||||
\(436\) | 5.68862 | + | 14.4944i | 0.272436 | + | 0.694154i | ||||
\(437\) | −0.832448 | − | 11.1082i | −0.0398214 | − | 0.531379i | ||||
\(438\) | −3.91175 | − | 0.589602i | −0.186911 | − | 0.0281723i | ||||
\(439\) | −5.85274 | − | 5.43055i | −0.279336 | − | 0.259186i | 0.528045 | − | 0.849216i | \(-0.322925\pi\) |
−0.807381 | + | 0.590030i | \(0.799116\pi\) | |||||||
\(440\) | 8.49790 | 0.405121 | ||||||||
\(441\) | −3.96125 | + | 5.77135i | −0.188631 | + | 0.274826i | ||||
\(442\) | 12.8992 | 0.613554 | ||||||||
\(443\) | −19.6223 | − | 18.2068i | −0.932283 | − | 0.865032i | 0.0588014 | − | 0.998270i | \(-0.481272\pi\) |
−0.991084 | + | 0.133238i | \(0.957463\pi\) | |||||||
\(444\) | −13.2401 | − | 1.99562i | −0.628347 | − | 0.0947081i | ||||
\(445\) | −1.98525 | − | 26.4914i | −0.0941101 | − | 1.25581i | ||||
\(446\) | −0.424320 | − | 1.08115i | −0.0200921 | − | 0.0511940i | ||||
\(447\) | −9.70623 | − | 12.1712i | −0.459089 | − | 0.575679i | ||||
\(448\) | 7.43958 | − | 8.61774i | 0.351487 | − | 0.407150i | ||||
\(449\) | −13.3900 | + | 16.7905i | −0.631912 | + | 0.792392i | −0.989966 | − | 0.141309i | \(-0.954869\pi\) |
0.358054 | + | 0.933701i | \(0.383440\pi\) | |||||||
\(450\) | 2.07167 | + | 0.639027i | 0.0976596 | + | 0.0301240i | ||||
\(451\) | 7.52338 | − | 19.1692i | 0.354262 | − | 0.902645i | ||||
\(452\) | −11.7797 | + | 3.63355i | −0.554070 | + | 0.170908i | ||||
\(453\) | −0.677882 | + | 9.04571i | −0.0318497 | + | 0.425005i | ||||
\(454\) | −2.51379 | + | 11.0136i | −0.117978 | + | 0.516896i | ||||
\(455\) | 10.8146 | + | 10.8483i | 0.506995 | + | 0.508578i | ||||
\(456\) | 2.32109 | + | 10.1693i | 0.108695 | + | 0.476223i | ||||
\(457\) | 22.9968 | − | 3.46621i | 1.07575 | − | 0.162142i | 0.412808 | − | 0.910818i | \(-0.364548\pi\) |
0.662937 | + | 0.748675i | \(0.269310\pi\) | |||||||
\(458\) | 16.1100 | + | 10.9836i | 0.752770 | + | 0.513230i | ||||
\(459\) | −2.06288 | − | 3.57301i | −0.0962870 | − | 0.166774i | ||||
\(460\) | 2.97479 | − | 5.15249i | 0.138701 | − | 0.240236i | ||||
\(461\) | 33.7233 | − | 16.2403i | 1.57065 | − | 0.756386i | 0.572663 | − | 0.819791i | \(-0.305910\pi\) |
0.997988 | + | 0.0634052i | \(0.0201960\pi\) | |||||||
\(462\) | −0.157239 | − | 4.38524i | −0.00731542 | − | 0.204020i | ||||
\(463\) | 1.58111 | + | 0.761424i | 0.0734806 | + | 0.0353864i | 0.470263 | − | 0.882526i | \(-0.344159\pi\) |
−0.396783 | + | 0.917913i | \(0.629873\pi\) | |||||||
\(464\) | −0.474496 | + | 0.323506i | −0.0220279 | + | 0.0150184i | ||||
\(465\) | 0.961443 | − | 0.892089i | 0.0445859 | − | 0.0413696i | ||||
\(466\) | −15.2035 | + | 14.1068i | −0.704289 | + | 0.653485i | ||||
\(467\) | −13.6874 | + | 9.33192i | −0.633378 | + | 0.431830i | −0.836987 | − | 0.547222i | \(-0.815685\pi\) |
0.203609 | + | 0.979052i | \(0.434733\pi\) | |||||||
\(468\) | 4.34292 | + | 2.09144i | 0.200752 | + | 0.0966769i | ||||
\(469\) | 4.52493 | − | 10.3273i | 0.208942 | − | 0.476870i | ||||
\(470\) | −1.96251 | + | 0.945095i | −0.0905239 | + | 0.0435940i | ||||
\(471\) | 10.8617 | − | 18.8130i | 0.500481 | − | 0.866858i | ||||
\(472\) | −11.3474 | − | 19.6543i | −0.522307 | − | 0.904662i | ||||
\(473\) | −12.9354 | − | 8.81920i | −0.594770 | − | 0.405507i | ||||
\(474\) | 11.8294 | − | 1.78300i | 0.543344 | − | 0.0818959i | ||||
\(475\) | 2.16562 | + | 9.48819i | 0.0993653 | + | 0.435348i | ||||
\(476\) | −14.0467 | + | 1.56051i | −0.643829 | + | 0.0715259i | ||||
\(477\) | 1.09691 | − | 4.80587i | 0.0502240 | − | 0.220046i | ||||
\(478\) | 0.238825 | − | 3.18689i | 0.0109236 | − | 0.145765i | ||||
\(479\) | 24.2816 | − | 7.48988i | 1.10945 | − | 0.342221i | 0.314723 | − | 0.949183i | \(-0.398088\pi\) |
0.794731 | + | 0.606962i | \(0.207612\pi\) | |||||||
\(480\) | −3.27090 | + | 8.33412i | −0.149295 | + | 0.380399i | ||||
\(481\) | 36.7905 | + | 11.3484i | 1.67750 | + | 0.517441i | ||||
\(482\) | −6.53845 | + | 8.19896i | −0.297818 | + | 0.373452i | ||||
\(483\) | −6.90614 | − | 3.66379i | −0.314240 | − | 0.166708i | ||||
\(484\) | 5.73129 | + | 7.18681i | 0.260513 | + | 0.326673i | ||||
\(485\) | −3.26610 | − | 8.32189i | −0.148306 | − | 0.377878i | ||||
\(486\) | 0.0627578 | + | 0.837445i | 0.00284675 | + | 0.0379873i | ||||
\(487\) | 11.7884 | + | 1.77681i | 0.534183 | + | 0.0805151i | 0.410594 | − | 0.911818i | \(-0.365321\pi\) |
0.123589 | + | 0.992333i | \(0.460560\pi\) | |||||||
\(488\) | 5.35574 | + | 4.96940i | 0.242443 | + | 0.224954i | ||||
\(489\) | −22.3661 | −1.01143 | ||||||||
\(490\) | 7.12962 | + | 5.72214i | 0.322084 | + | 0.258500i | ||||
\(491\) | 2.54465 | 0.114838 | 0.0574191 | − | 0.998350i | \(-0.481713\pi\) | ||||
0.0574191 | + | 0.998350i | \(0.481713\pi\) | |||||||
\(492\) | 9.89653 | + | 9.18264i | 0.446170 | + | 0.413985i | ||||
\(493\) | −8.81240 | − | 1.32826i | −0.396891 | − | 0.0598216i | ||||
\(494\) | −0.880807 | − | 11.7536i | −0.0396294 | − | 0.528818i | ||||
\(495\) | 1.12206 | + | 2.85896i | 0.0504328 | + | 0.128501i | ||||
\(496\) | −0.139801 | − | 0.175305i | −0.00627726 | − | 0.00787143i | ||||
\(497\) | 7.14927 | + | 38.1099i | 0.320689 | + | 1.70946i | ||||
\(498\) | 1.49802 | − | 1.87846i | 0.0671278 | − | 0.0841756i | ||||
\(499\) | −31.2286 | − | 9.63275i | −1.39798 | − | 0.431221i | −0.498012 | − | 0.867170i | \(-0.665937\pi\) |
−0.899971 | + | 0.435949i | \(0.856413\pi\) | |||||||
\(500\) | −5.57711 | + | 14.2102i | −0.249416 | + | 0.635501i | ||||
\(501\) | −8.57355 | + | 2.64459i | −0.383038 | + | 0.118152i | ||||
\(502\) | −0.295954 | + | 3.94923i | −0.0132091 | + | 0.176263i | ||||
\(503\) | −1.75120 | + | 7.67250i | −0.0780821 | + | 0.342100i | −0.998846 | − | 0.0480193i | \(-0.984709\pi\) |
0.920764 | + | 0.390119i | \(0.127566\pi\) | |||||||
\(504\) | 6.90597 | + | 2.42859i | 0.307616 | + | 0.108178i | ||||
\(505\) | 5.33625 | + | 23.3796i | 0.237460 | + | 1.04038i | ||||
\(506\) | 4.84598 | − | 0.730413i | 0.215430 | − | 0.0324708i | ||||
\(507\) | −0.710860 | − | 0.484656i | −0.0315704 | − | 0.0215243i | ||||
\(508\) | 1.73896 | + | 3.01198i | 0.0771541 | + | 0.133635i | ||||
\(509\) | 6.85394 | − | 11.8714i | 0.303795 | − | 0.526189i | −0.673197 | − | 0.739463i | \(-0.735079\pi\) |
0.976992 | + | 0.213274i | \(0.0684128\pi\) | |||||||
\(510\) | −4.85459 | + | 2.33785i | −0.214965 | + | 0.103522i | ||||
\(511\) | −12.2422 | − | 2.33612i | −0.541563 | − | 0.103344i | ||||
\(512\) | 2.70456 | + | 1.30245i | 0.119526 | + | 0.0575606i | ||||
\(513\) | −3.11481 | + | 2.12364i | −0.137522 | + | 0.0937610i | ||||
\(514\) | −3.14719 | + | 2.92017i | −0.138817 | + | 0.128803i | ||||
\(515\) | −11.7617 | + | 10.9133i | −0.518283 | + | 0.480896i | ||||
\(516\) | 8.48035 | − | 5.78180i | 0.373327 | − | 0.254530i | ||||
\(517\) | 2.96773 | + | 1.42918i | 0.130521 | + | 0.0628554i | ||||
\(518\) | 22.5704 | + | 4.30700i | 0.991686 | + | 0.189239i | ||||
\(519\) | −6.06714 | + | 2.92178i | −0.266318 | + | 0.128252i | ||||
\(520\) | 8.00973 | − | 13.8733i | 0.351250 | − | 0.608383i | ||||
\(521\) | −10.4713 | − | 18.1368i | −0.458756 | − | 0.794589i | 0.540140 | − | 0.841575i | \(-0.318371\pi\) |
−0.998896 | + | 0.0469869i | \(0.985038\pi\) | |||||||
\(522\) | 1.49881 | + | 1.02187i | 0.0656011 | + | 0.0447261i | ||||
\(523\) | −31.2960 | + | 4.71711i | −1.36848 | + | 0.206265i | −0.791836 | − | 0.610734i | \(-0.790875\pi\) |
−0.576640 | + | 0.816998i | \(0.695637\pi\) | |||||||
\(524\) | −5.23816 | − | 22.9499i | −0.228830 | − | 1.00257i | ||||
\(525\) | 6.44340 | + | 2.26592i | 0.281213 | + | 0.0988930i | ||||
\(526\) | −4.10316 | + | 17.9771i | −0.178906 | + | 0.783839i | ||||
\(527\) | 0.260029 | − | 3.46985i | 0.0113271 | − | 0.151149i | ||||
\(528\) | 0.501734 | − | 0.154764i | 0.0218352 | − | 0.00673526i | ||||
\(529\) | −5.21299 | + | 13.2825i | −0.226652 | + | 0.577500i | ||||
\(530\) | −6.15180 | − | 1.89758i | −0.267217 | − | 0.0824256i | ||||
\(531\) | 5.11401 | − | 6.41276i | 0.221929 | − | 0.278290i | ||||
\(532\) | 2.38107 | + | 12.6926i | 0.103233 | + | 0.550292i | ||||
\(533\) | −24.2036 | − | 30.3504i | −1.04837 | − | 1.31462i | ||||
\(534\) | 5.24114 | + | 13.3542i | 0.226806 | + | 0.577893i | ||||
\(535\) | −1.72852 | − | 23.0655i | −0.0747306 | − | 0.997211i | ||||
\(536\) | −11.6597 | − | 1.75742i | −0.503624 | − | 0.0759090i | ||||
\(537\) | −1.17246 | − | 1.08788i | −0.0505953 | − | 0.0469456i | ||||
\(538\) | −22.8512 | −0.985186 | ||||||||
\(539\) | 0.0431009 | − | 13.8244i | 0.00185649 | − | 0.595460i | ||||
\(540\) | −2.01350 | −0.0866471 | ||||||||
\(541\) | 15.5052 | + | 14.3867i | 0.666620 | + | 0.618533i | 0.939106 | − | 0.343626i | \(-0.111655\pi\) |
−0.272486 | + | 0.962160i | \(0.587846\pi\) | |||||||
\(542\) | 2.06691 | + | 0.311536i | 0.0887812 | + | 0.0133816i | ||||
\(543\) | −1.37801 | − | 18.3882i | −0.0591359 | − | 0.789113i | ||||
\(544\) | 8.67771 | + | 22.1104i | 0.372054 | + | 0.947977i | ||||
\(545\) | 11.6606 | + | 14.6219i | 0.499483 | + | 0.626332i | ||||
\(546\) | −7.30734 | − | 3.87663i | −0.312725 | − | 0.165904i | ||||
\(547\) | 26.8397 | − | 33.6560i | 1.14758 | − | 1.43903i | 0.267914 | − | 0.963443i | \(-0.413666\pi\) |
0.879671 | − | 0.475583i | \(-0.157763\pi\) | |||||||
\(548\) | 12.5331 | + | 3.86594i | 0.535386 | + | 0.165145i | ||||
\(549\) | −0.964692 | + | 2.45800i | −0.0411721 | + | 0.104905i | ||||
\(550\) | −4.09140 | + | 1.26203i | −0.174458 | + | 0.0538132i | ||||
\(551\) | −0.608541 | + | 8.12041i | −0.0259247 | + | 0.345941i | ||||
\(552\) | −1.81929 | + | 7.97082i | −0.0774340 | + | 0.339261i | ||||
\(553\) | 37.4589 | − | 4.16148i | 1.59291 | − | 0.176964i | ||||
\(554\) | −0.661960 | − | 2.90024i | −0.0281240 | − | 0.123219i | ||||
\(555\) | −15.9028 | + | 2.39696i | −0.675035 | + | 0.101745i | ||||
\(556\) | −12.5995 | − | 8.59021i | −0.534339 | − | 0.364306i | ||||
\(557\) | −14.3910 | − | 24.9260i | −0.609767 | − | 1.05615i | −0.991279 | − | 0.131783i | \(-0.957930\pi\) |
0.381512 | − | 0.924364i | \(-0.375403\pi\) | |||||||
\(558\) | −0.354132 | + | 0.613375i | −0.0149916 | + | 0.0259662i | ||||
\(559\) | −26.5901 | + | 12.8051i | −1.12464 | + | 0.541599i | ||||
\(560\) | −0.439001 | + | 1.00194i | −0.0185512 | + | 0.0423395i | ||||
\(561\) | 7.34116 | + | 3.53532i | 0.309944 | + | 0.149261i | ||||
\(562\) | −7.94613 | + | 5.41758i | −0.335187 | + | 0.228527i | ||||
\(563\) | 10.9502 | − | 10.1603i | 0.461495 | − | 0.428205i | −0.414849 | − | 0.909890i | \(-0.636166\pi\) |
0.876344 | + | 0.481685i | \(0.159975\pi\) | |||||||
\(564\) | −1.58301 | + | 1.46882i | −0.0666567 | + | 0.0618483i | ||||
\(565\) | −12.2337 | + | 8.34078i | −0.514675 | + | 0.350899i | ||||
\(566\) | −20.8942 | − | 10.0621i | −0.878248 | − | 0.422942i | ||||
\(567\) | 0.0948062 | + | 2.64405i | 0.00398149 | + | 0.111040i | ||||
\(568\) | 36.5346 | − | 17.5941i | 1.53296 | − | 0.738233i | ||||
\(569\) | 15.8714 | − | 27.4901i | 0.665365 | − | 1.15245i | −0.313821 | − | 0.949482i | \(-0.601609\pi\) |
0.979186 | − | 0.202964i | \(-0.0650576\pi\) | |||||||
\(570\) | 2.46170 | + | 4.26378i | 0.103109 | + | 0.178590i | ||||
\(571\) | −19.3732 | − | 13.2084i | −0.810743 | − | 0.552755i | 0.0854898 | − | 0.996339i | \(-0.472754\pi\) |
−0.896233 | + | 0.443584i | \(0.853707\pi\) | |||||||
\(572\) | −9.41337 | + | 1.41884i | −0.393593 | + | 0.0593245i | ||||
\(573\) | 0.910385 | + | 3.98866i | 0.0380319 | + | 0.166629i | ||||
\(574\) | −16.3566 | − | 16.4076i | −0.682709 | − | 0.684841i | ||||
\(575\) | −1.69743 | + | 7.43693i | −0.0707877 | + | 0.310141i | ||||
\(576\) | 0.321566 | − | 4.29100i | 0.0133986 | − | 0.178792i | ||||
\(577\) | −29.8886 | + | 9.21941i | −1.24428 | + | 0.383809i | −0.845865 | − | 0.533397i | \(-0.820915\pi\) |
−0.398414 | + | 0.917206i | \(0.630439\pi\) | |||||||
\(578\) | −0.00671661 | + | 0.0171137i | −0.000279374 | + | 0.000711834i | ||||
\(579\) | 15.7894 | + | 4.87038i | 0.656184 | + | 0.202406i | ||||
\(580\) | −2.71174 | + | 3.40042i | −0.112599 | + | 0.141195i | ||||
\(581\) | 4.94639 | − | 5.72972i | 0.205211 | − | 0.237709i | ||||
\(582\) | 3.01000 | + | 3.77442i | 0.124769 | + | 0.156455i | ||||
\(583\) | 3.55672 | + | 9.06236i | 0.147304 | + | 0.375325i | ||||
\(584\) | 0.974018 | + | 12.9974i | 0.0403052 | + | 0.537835i | ||||
\(585\) | 5.72500 | + | 0.862905i | 0.236700 | + | 0.0356767i | ||||
\(586\) | −5.60542 | − | 5.20107i | −0.231558 | − | 0.214854i | ||||
\(587\) | −11.4659 | −0.473249 | −0.236624 | − | 0.971601i | \(-0.576041\pi\) | ||||
−0.236624 | + | 0.971601i | \(0.576041\pi\) | |||||||
\(588\) | 8.42636 | + | 3.33746i | 0.347497 | + | 0.137634i | ||||
\(589\) | −3.17942 | −0.131006 | ||||||||
\(590\) | −7.85245 | − | 7.28601i | −0.323280 | − | 0.299960i | ||||
\(591\) | −11.0362 | − | 1.66343i | −0.453967 | − | 0.0684245i | ||||
\(592\) | 0.205465 | + | 2.74174i | 0.00844457 | + | 0.112685i | ||||
\(593\) | −14.6960 | − | 37.4448i | −0.603492 | − | 1.53767i | −0.826548 | − | 0.562866i | \(-0.809699\pi\) |
0.223056 | − | 0.974806i | \(-0.428397\pi\) | |||||||
\(594\) | −1.03408 | − | 1.29669i | −0.0424287 | − | 0.0532039i | ||||
\(595\) | −15.5695 | + | 6.76405i | −0.638289 | + | 0.277299i | ||||
\(596\) | −12.5671 | + | 15.7587i | −0.514769 | + | 0.645500i | ||||
\(597\) | 6.88425 | + | 2.12351i | 0.281754 | + | 0.0869095i | ||||
\(598\) | 3.37516 | − | 8.59976i | 0.138020 | − | 0.351670i | ||||
\(599\) | −37.5322 | + | 11.5772i | −1.53352 | + | 0.473030i | −0.942664 | − | 0.333744i | \(-0.891688\pi\) |
−0.590860 | + | 0.806774i | \(0.701212\pi\) | |||||||
\(600\) | 0.533796 | − | 7.12301i | 0.0217921 | − | 0.290796i | ||||
\(601\) | 3.03965 | − | 13.3176i | 0.123990 | − | 0.543235i | −0.874332 | − | 0.485328i | \(-0.838700\pi\) |
0.998322 | − | 0.0579072i | \(-0.0184427\pi\) | |||||||
\(602\) | −14.9283 | + | 9.34767i | −0.608433 | + | 0.380982i | ||||
\(603\) | −0.948293 | − | 4.15474i | −0.0386175 | − | 0.169194i | ||||
\(604\) | 11.6136 | − | 1.75046i | 0.472549 | − | 0.0712254i | ||||
\(605\) | 9.12241 | + | 6.21956i | 0.370879 | + | 0.252861i | ||||
\(606\) | −6.47503 | − | 11.2151i | −0.263030 | − | 0.455581i | ||||
\(607\) | −0.983647 | + | 1.70373i | −0.0399250 | + | 0.0691521i | −0.885297 | − | 0.465025i | \(-0.846045\pi\) |
0.845372 | + | 0.534177i | \(0.179379\pi\) | |||||||
\(608\) | 19.5541 | − | 9.41676i | 0.793024 | − | 0.381900i | ||||
\(609\) | 4.59299 | + | 3.40086i | 0.186117 | + | 0.137810i | ||||
\(610\) | 3.10698 | + | 1.49624i | 0.125798 | + | 0.0605812i | ||||
\(611\) | 5.13046 | − | 3.49789i | 0.207556 | − | 0.141509i | ||||
\(612\) | −3.91583 | + | 3.63336i | −0.158288 | + | 0.146870i | ||||
\(613\) | 23.3975 | − | 21.7098i | 0.945018 | − | 0.876849i | −0.0475092 | − | 0.998871i | \(-0.515128\pi\) |
0.992527 | + | 0.122022i | \(0.0389379\pi\) | |||||||
\(614\) | −5.82724 | + | 3.97294i | −0.235168 | + | 0.160335i | ||||
\(615\) | 14.6096 | + | 7.03563i | 0.589117 | + | 0.283704i | ||||
\(616\) | −13.9707 | + | 3.72011i | −0.562897 | + | 0.149888i | ||||
\(617\) | −27.3475 | + | 13.1699i | −1.10097 | + | 0.530199i | −0.893963 | − | 0.448141i | \(-0.852086\pi\) |
−0.207006 | + | 0.978340i | \(0.566372\pi\) | |||||||
\(618\) | 4.33224 | − | 7.50365i | 0.174268 | − | 0.301841i | ||||
\(619\) | 6.39508 | + | 11.0766i | 0.257040 | + | 0.445206i | 0.965448 | − | 0.260597i | \(-0.0839195\pi\) |
−0.708408 | + | 0.705803i | \(0.750586\pi\) | |||||||
\(620\) | −1.40307 | − | 0.956597i | −0.0563487 | − | 0.0384179i | ||||
\(621\) | −2.92185 | + | 0.440398i | −0.117250 | + | 0.0176726i | ||||
\(622\) | 2.28694 | + | 10.0197i | 0.0916979 | + | 0.401755i | ||||
\(623\) | 14.8609 | + | 42.6833i | 0.595389 | + | 1.71007i | ||||
\(624\) | 0.220250 | − | 0.964980i | 0.00881707 | − | 0.0386301i | ||||
\(625\) | −0.405603 | + | 5.41240i | −0.0162241 | + | 0.216496i | ||||
\(626\) | −14.1659 | + | 4.36960i | −0.566183 | + | 0.174644i | ||||
\(627\) | 2.72004 | − | 6.93054i | 0.108628 | − | 0.276779i | ||||
\(628\) | −26.8767 | − | 8.29038i | −1.07250 | − | 0.330822i | ||||
\(629\) | −26.6022 | + | 33.3581i | −1.06070 | + | 1.33007i | ||||
\(630\) | 3.45269 | + | 0.134581i | 0.137559 | + | 0.00536183i | ||||
\(631\) | 7.37543 | + | 9.24849i | 0.293611 | + | 0.368177i | 0.906655 | − | 0.421872i | \(-0.138627\pi\) |
−0.613044 | + | 0.790048i | \(0.710055\pi\) | |||||||
\(632\) | −14.4000 | − | 36.6906i | −0.572801 | − | 1.45947i | ||||
\(633\) | 0.185889 | + | 2.48051i | 0.00738841 | + | 0.0985915i | ||||
\(634\) | −7.11205 | − | 1.07197i | −0.282456 | − | 0.0425733i | ||||
\(635\) | 3.06222 | + | 2.84133i | 0.121521 | + | 0.112755i | ||||
\(636\) | −6.38241 | −0.253079 | ||||||||
\(637\) | −22.5285 | − | 13.1006i | −0.892610 | − | 0.519066i | ||||
\(638\) | −3.58255 | −0.141834 | ||||||||
\(639\) | 10.7432 | + | 9.96825i | 0.424995 | + | 0.394338i | ||||
\(640\) | 12.1491 | + | 1.83118i | 0.480234 | + | 0.0723837i | ||||
\(641\) | 1.39350 | + | 18.5950i | 0.0550400 | + | 0.734458i | 0.954644 | + | 0.297751i | \(0.0962364\pi\) |
−0.899604 | + | 0.436707i | \(0.856145\pi\) | |||||||
\(642\) | 4.56336 | + | 11.6272i | 0.180101 | + | 0.458891i | ||||
\(643\) | 28.5454 | + | 35.7948i | 1.12572 | + | 1.41161i | 0.899164 | + | 0.437612i | \(0.144176\pi\) |
0.226558 | + | 0.973998i | \(0.427253\pi\) | |||||||
\(644\) | −2.63503 | + | 9.77308i | −0.103835 | + | 0.385113i | ||||
\(645\) | 7.68632 | − | 9.63835i | 0.302649 | − | 0.379510i | ||||
\(646\) | 12.4815 | + | 3.85002i | 0.491077 | + | 0.151477i | ||||
\(647\) | 4.81750 | − | 12.2748i | 0.189395 | − | 0.482572i | −0.804361 | − | 0.594140i | \(-0.797492\pi\) |
0.993757 | + | 0.111569i | \(0.0355876\pi\) | |||||||
\(648\) | 2.64398 | − | 0.815560i | 0.103865 | − | 0.0320382i | ||||
\(649\) | −1.21054 | + | 16.1535i | −0.0475178 | + | 0.634081i | ||||
\(650\) | −1.79604 | + | 7.86896i | −0.0704464 | + | 0.308646i | ||||
\(651\) | −1.19010 | + | 1.88750i | −0.0466439 | + | 0.0739771i | ||||
\(652\) | 6.44385 | + | 28.2323i | 0.252361 | + | 1.10566i | ||||
\(653\) | 18.5750 | − | 2.79974i | 0.726897 | − | 0.109562i | 0.224839 | − | 0.974396i | \(-0.427814\pi\) |
0.502058 | + | 0.864834i | \(0.332576\pi\) | |||||||
\(654\) | −8.34453 | − | 5.68920i | −0.326297 | − | 0.222465i | ||||
\(655\) | −14.1371 | − | 24.4861i | −0.552381 | − | 0.956751i | ||||
\(656\) | 1.38609 | − | 2.40078i | 0.0541178 | − | 0.0937348i | ||||
\(657\) | −4.24411 | + | 2.04386i | −0.165579 | + | 0.0797384i | ||||
\(658\) | 2.81268 | − | 2.41288i | 0.109650 | − | 0.0940639i | ||||
\(659\) | −20.8237 | − | 10.0282i | −0.811175 | − | 0.390641i | −0.0181538 | − | 0.999835i | \(-0.505779\pi\) |
−0.793021 | + | 0.609194i | \(0.791493\pi\) | |||||||
\(660\) | 3.28555 | − | 2.24005i | 0.127890 | − | 0.0871937i | ||||
\(661\) | 2.34575 | − | 2.17653i | 0.0912390 | − | 0.0846574i | −0.633235 | − | 0.773960i | \(-0.718273\pi\) |
0.724474 | + | 0.689302i | \(0.242083\pi\) | |||||||
\(662\) | −8.85227 | + | 8.21371i | −0.344053 | + | 0.319235i | ||||
\(663\) | 12.6910 | − | 8.65259i | 0.492879 | − | 0.336039i | ||||
\(664\) | −7.13214 | − | 3.43466i | −0.276781 | − | 0.133290i | ||||
\(665\) | 7.22644 | + | 13.7248i | 0.280229 | + | 0.532226i | ||||
\(666\) | 7.82468 | − | 3.76817i | 0.303200 | − | 0.146014i | ||||
\(667\) | −3.19135 | + | 5.52758i | −0.123570 | + | 0.214029i | ||||
\(668\) | 5.80834 | + | 10.0603i | 0.224731 | + | 0.389246i | ||||
\(669\) | −1.14269 | − | 0.779073i | −0.0441789 | − | 0.0301207i | ||||
\(670\) | −5.50342 | + | 0.829507i | −0.212616 | + | 0.0320466i | ||||
\(671\) | −1.16041 | − | 5.08410i | −0.0447972 | − | 0.196269i | ||||
\(672\) | 1.72901 | − | 15.1334i | 0.0666982 | − | 0.583782i | ||||
\(673\) | 8.58427 | − | 37.6101i | 0.330899 | − | 1.44976i | −0.486494 | − | 0.873684i | \(-0.661725\pi\) |
0.817393 | − | 0.576080i | \(-0.195418\pi\) | |||||||
\(674\) | 1.06574 | − | 14.2213i | 0.0410509 | − | 0.547786i | ||||
\(675\) | 2.46688 | − | 0.760933i | 0.0949504 | − | 0.0292883i | ||||
\(676\) | −0.406970 | + | 1.03694i | −0.0156527 | + | 0.0398824i | ||||
\(677\) | −29.7041 | − | 9.16251i | −1.14162 | − | 0.352144i | −0.334423 | − | 0.942423i | \(-0.608542\pi\) |
−0.807199 | + | 0.590279i | \(0.799018\pi\) | |||||||
\(678\) | 4.98525 | − | 6.25131i | 0.191457 | − | 0.240080i | ||||
\(679\) | 9.01260 | + | 12.2516i | 0.345872 | + | 0.470172i | ||||
\(680\) | 11.0686 | + | 13.8796i | 0.424463 | + | 0.532259i | ||||
\(681\) | 4.91456 | + | 12.5221i | 0.188326 | + | 0.479847i | ||||
\(682\) | −0.104530 | − | 1.39486i | −0.00400267 | − | 0.0534119i | ||||
\(683\) | 24.5906 | + | 3.70644i | 0.940935 | + | 0.141823i | 0.601560 | − | 0.798828i | \(-0.294546\pi\) |
0.339375 | + | 0.940651i | \(0.389784\pi\) | |||||||
\(684\) | 3.57804 | + | 3.31994i | 0.136810 | + | 0.126941i | ||||
\(685\) | 15.7534 | 0.601908 | ||||||||
\(686\) | −14.2262 | − | 6.28620i | −0.543160 | − | 0.240008i | ||||
\(687\) | 23.2176 | 0.885806 | ||||||||
\(688\) | −1.54496 | − | 1.43351i | −0.0589010 | − | 0.0546521i | ||||
\(689\) | 18.1472 | + | 2.73525i | 0.691352 | + | 0.104205i | ||||
\(690\) | 0.288383 | + | 3.84821i | 0.0109786 | + | 0.146499i | ||||
\(691\) | 6.31090 | + | 16.0799i | 0.240078 | + | 0.611709i | 0.999231 | − | 0.0392032i | \(-0.0124820\pi\) |
−0.759153 | + | 0.650912i | \(0.774387\pi\) | |||||||
\(692\) | 5.43611 | + | 6.81666i | 0.206650 | + | 0.259131i | ||||
\(693\) | −3.09625 | − | 4.20899i | −0.117617 | − | 0.159886i | ||||
\(694\) | −5.27635 | + | 6.61633i | −0.200287 | + | 0.251152i | ||||
\(695\) | −17.5022 | − | 5.39872i | −0.663897 | − | 0.204785i | ||||
\(696\) | 2.18354 | − | 5.56357i | 0.0827669 | − | 0.210887i | ||||
\(697\) | 41.1085 | − | 12.6803i | 1.55709 | − | 0.480300i | ||||
\(698\) | 1.16369 | − | 15.5284i | 0.0440464 | − | 0.587758i | ||||
\(699\) | −5.49551 | + | 24.0774i | −0.207859 | + | 0.910690i | ||||
\(700\) | 1.00384 | − | 8.78623i | 0.0379417 | − | 0.332088i | ||||
\(701\) | −0.845137 | − | 3.70279i | −0.0319204 | − | 0.139852i | 0.956457 | − | 0.291874i | \(-0.0942788\pi\) |
−0.988377 | + | 0.152022i | \(0.951422\pi\) | |||||||
\(702\) | −3.09159 | + | 0.465982i | −0.116684 | + | 0.0175874i | ||||
\(703\) | 32.2118 | + | 21.9617i | 1.21489 | + | 0.828300i | ||||
\(704\) | 4.24909 | + | 7.35964i | 0.160144 | + | 0.277377i | ||||
\(705\) | −1.29688 | + | 2.24626i | −0.0488433 | + | 0.0845991i | ||||
\(706\) | 7.63705 | − | 3.67781i | 0.287424 | − | 0.138416i | ||||
\(707\) | −19.0078 | − | 36.1006i | −0.714861 | − | 1.35770i | ||||
\(708\) | −9.56812 | − | 4.60776i | −0.359592 | − | 0.173170i | ||||
\(709\) | −10.6425 | + | 7.25595i | −0.399688 | + | 0.272503i | −0.746438 | − | 0.665455i | \(-0.768238\pi\) |
0.346750 | + | 0.937958i | \(0.387285\pi\) | |||||||
\(710\) | 14.0305 | − | 13.0184i | 0.526555 | − | 0.488572i | ||||
\(711\) | 10.4425 | − | 9.68922i | 0.391624 | − | 0.363374i | ||||
\(712\) | 39.0530 | − | 26.6259i | 1.46357 | − | 0.997848i | ||||
\(713\) | −2.24527 | − | 1.08126i | −0.0840860 | − | 0.0404937i | ||||
\(714\) | 6.95761 | − | 5.96866i | 0.260382 | − | 0.223371i | ||||
\(715\) | −10.3018 | + | 4.96110i | −0.385266 | + | 0.185534i | ||||
\(716\) | −1.03542 | + | 1.79340i | −0.0386955 | + | 0.0670226i | ||||
\(717\) | −1.90275 | − | 3.29566i | −0.0710594 | − | 0.123079i | ||||
\(718\) | 23.1437 | + | 15.7791i | 0.863716 | + | 0.588872i | ||||
\(719\) | 1.98391 | − | 0.299027i | 0.0739874 | − | 0.0111518i | −0.111944 | − | 0.993714i | \(-0.535708\pi\) |
0.185932 | + | 0.982563i | \(0.440470\pi\) | |||||||
\(720\) | 0.0920017 | + | 0.403086i | 0.00342870 | + | 0.0150221i | ||||
\(721\) | 14.5590 | − | 23.0906i | 0.542206 | − | 0.859937i | ||||
\(722\) | −0.894765 | + | 3.92022i | −0.0332997 | + | 0.145895i | ||||
\(723\) | −0.933186 | + | 12.4525i | −0.0347056 | + | 0.463114i | ||||
\(724\) | −22.8141 | + | 7.03723i | −0.847881 | + | 0.261537i | ||||
\(725\) | 2.03729 | − | 5.19092i | 0.0756629 | − | 0.192786i | ||||
\(726\) | −5.69737 | − | 1.75741i | −0.211449 | − | 0.0652234i | ||||
\(727\) | 0.721824 | − | 0.905139i | 0.0267710 | − | 0.0335698i | −0.768266 | − | 0.640131i | \(-0.778880\pi\) |
0.795037 | + | 0.606561i | \(0.207452\pi\) | |||||||
\(728\) | −7.09489 | + | 26.3143i | −0.262954 | + | 0.975275i | ||||
\(729\) | 0.623490 | + | 0.781831i | 0.0230922 | + | 0.0289567i | ||||
\(730\) | 2.24757 | + | 5.72673i | 0.0831865 | + | 0.211956i | ||||
\(731\) | −2.44412 | − | 32.6145i | −0.0903991 | − | 1.20629i | ||||
\(732\) | 3.38063 | + | 0.509548i | 0.124952 | + | 0.0188334i | ||||
\(733\) | −13.0295 | − | 12.0896i | −0.481257 | − | 0.446541i | 0.401855 | − | 0.915703i | \(-0.368365\pi\) |
−0.883112 | + | 0.469162i | \(0.844556\pi\) | |||||||
\(734\) | 14.7680 | 0.545095 | ||||||||
\(735\) | 10.8529 | + | 0.847344i | 0.400314 | + | 0.0312548i | ||||
\(736\) | 17.0113 | 0.627046 | ||||||||
\(737\) | 6.16961 | + | 5.72456i | 0.227260 | + | 0.210867i | ||||
\(738\) | −8.65880 | − | 1.30510i | −0.318735 | − | 0.0480416i | ||||
\(739\) | 0.928510 | + | 12.3901i | 0.0341558 | + | 0.455778i | 0.987893 | + | 0.155136i | \(0.0495816\pi\) |
−0.953737 | + | 0.300641i | \(0.902799\pi\) | |||||||
\(740\) | 7.60736 | + | 19.3832i | 0.279652 | + | 0.712542i | ||||
\(741\) | −8.75069 | − | 10.9730i | −0.321465 | − | 0.403104i | ||||
\(742\) | 10.9444 | + | 0.426596i | 0.401781 | + | 0.0156608i | ||||
\(743\) | 17.9412 | − | 22.4975i | 0.658198 | − | 0.825354i | −0.334948 | − | 0.942237i | \(-0.608719\pi\) |
0.993146 | + | 0.116883i | \(0.0372902\pi\) | |||||||
\(744\) | 2.22988 | + | 0.687826i | 0.0817513 | + | 0.0252169i | ||||
\(745\) | −8.84476 | + | 22.5361i | −0.324047 | + | 0.825658i | ||||
\(746\) | 12.3557 | − | 3.81122i | 0.452373 | − | 0.139539i | ||||
\(747\) | 0.213802 | − | 2.85298i | 0.00782259 | − | 0.104385i | ||||
\(748\) | 2.34753 | − | 10.2852i | 0.0858341 | − | 0.376064i | ||||
\(749\) | 12.9391 | + | 37.1636i | 0.472784 | + | 1.35793i | ||||
\(750\) | −2.20328 | − | 9.65319i | −0.0804523 | − | 0.352485i | ||||
\(751\) | −37.6333 | + | 5.67231i | −1.37326 | + | 0.206985i | −0.793881 | − | 0.608074i | \(-0.791943\pi\) |
−0.579378 | + | 0.815059i | \(0.696704\pi\) | |||||||
\(752\) | 0.366377 | + | 0.249791i | 0.0133604 | + | 0.00910896i | ||||
\(753\) | 2.35790 | + | 4.08400i | 0.0859267 | + | 0.148829i | ||||
\(754\) | −3.37674 | + | 5.84869i | −0.122974 | + | 0.212997i | ||||
\(755\) | 12.7097 | − | 6.12066i | 0.462553 | − | 0.222754i | ||||
\(756\) | 3.31023 | − | 0.881446i | 0.120392 | − | 0.0320579i | ||||
\(757\) | 4.08887 | + | 1.96910i | 0.148613 | + | 0.0715681i | 0.506712 | − | 0.862115i | \(-0.330861\pi\) |
−0.358099 | + | 0.933684i | \(0.616575\pi\) | |||||||
\(758\) | −5.49929 | + | 3.74935i | −0.199743 | + | 0.136183i | ||||
\(759\) | 4.27781 | − | 3.96923i | 0.155275 | − | 0.144074i | ||||
\(760\) | 11.8911 | − | 11.0333i | 0.431335 | − | 0.400220i | ||||
\(761\) | −9.54330 | + | 6.50651i | −0.345944 | + | 0.235861i | −0.723810 | − | 0.690000i | \(-0.757611\pi\) |
0.377865 | + | 0.925861i | \(0.376658\pi\) | |||||||
\(762\) | −2.03244 | − | 0.978772i | −0.0736276 | − | 0.0354572i | ||||
\(763\) | −25.5712 | − | 18.9340i | −0.925739 | − | 0.685458i | ||||
\(764\) | 4.77253 | − | 2.29833i | 0.172664 | − | 0.0831507i | ||||
\(765\) | −3.20804 | + | 5.55649i | −0.115987 | + | 0.200895i | ||||
\(766\) | −9.02567 | − | 15.6329i | −0.326111 | − | 0.564840i | ||||
\(767\) | 25.2304 | + | 17.2018i | 0.911018 | + | 0.621122i | ||||
\(768\) | −15.0706 | + | 2.27153i | −0.543815 | + | 0.0819669i | ||||
\(769\) | −1.66942 | − | 7.31422i | −0.0602009 | − | 0.263757i | 0.935867 | − | 0.352354i | \(-0.114619\pi\) |
−0.996068 | + | 0.0885969i | \(0.971762\pi\) | |||||||
\(770\) | −5.78369 | + | 3.62157i | −0.208430 | + | 0.130512i | ||||
\(771\) | −1.13759 | + | 4.98412i | −0.0409694 | + | 0.179499i | ||||
\(772\) | 1.59875 | − | 21.3339i | 0.0575404 | − | 0.767823i | ||||
\(773\) | 13.2902 | − | 4.09949i | 0.478016 | − | 0.147448i | −0.0463783 | − | 0.998924i | \(-0.514768\pi\) |
0.524394 | + | 0.851476i | \(0.324292\pi\) | |||||||
\(774\) | −2.43217 | + | 6.19707i | −0.0874226 | + | 0.222749i | ||||
\(775\) | 2.08052 | + | 0.641755i | 0.0747344 | + | 0.0230525i | ||||
\(776\) | 9.91720 | − | 12.4358i | 0.356007 | − | 0.446418i | ||||
\(777\) | 25.0952 | − | 10.9024i | 0.900284 | − | 0.391120i | ||||
\(778\) | 5.00251 | + | 6.27294i | 0.179349 | + | 0.224896i | ||||
\(779\) | −14.3611 | − | 36.5915i | −0.514540 | − | 1.31103i | ||||
\(780\) | −0.560188 | − | 7.47519i | −0.0200579 | − | 0.267655i | ||||
\(781\) | −28.6202 | − | 4.31380i | −1.02411 | − | 0.154360i | ||||
\(782\) | 7.50494 | + | 6.96356i | 0.268376 | + | 0.249017i | ||||
\(783\) | 2.16007 | 0.0771947 | ||||||||
\(784\) | 0.283110 | − | 1.83938i | 0.0101111 | − | 0.0656923i | ||||
\(785\) | −33.7827 | −1.20576 | ||||||||
\(786\) | 11.1926 | + | 10.3852i | 0.399226 | + | 0.370428i | ||||
\(787\) | 10.0787 | + | 1.51913i | 0.359268 | + | 0.0541510i | 0.326196 | − | 0.945302i | \(-0.394233\pi\) |
0.0330718 | + | 0.999453i | \(0.489471\pi\) | |||||||
\(788\) | 1.07988 | + | 14.4100i | 0.0384692 | + | 0.513336i | ||||
\(789\) | 8.02182 | + | 20.4393i | 0.285585 | + | 0.727658i | ||||
\(790\) | −11.5995 | − | 14.5453i | −0.412690 | − | 0.517497i | ||||
\(791\) | 16.4611 | − | 19.0679i | 0.585289 | − | 0.677978i | ||||
\(792\) | −3.40702 | + | 4.27227i | −0.121063 | + | 0.151808i | ||||
\(793\) | −9.39380 | − | 2.89760i | −0.333584 | − | 0.102897i | ||||
\(794\) | −5.84671 | + | 14.8972i | −0.207492 | + | 0.528681i | ||||
\(795\) | −7.32537 | + | 2.25958i | −0.259804 | + | 0.0801390i | ||||
\(796\) | 0.697065 | − | 9.30169i | 0.0247068 | − | 0.329690i | ||||
\(797\) | 9.94651 | − | 43.5785i | 0.352324 | − | 1.54363i | −0.419477 | − | 0.907766i | \(-0.637787\pi\) |
0.771801 | − | 0.635865i | \(-0.219356\pi\) | |||||||
\(798\) | −5.91363 | − | 5.93210i | −0.209340 | − | 0.209994i | ||||
\(799\) | 1.53122 | + | 6.70872i | 0.0541708 | + | 0.237338i | ||||
\(800\) | −14.6964 | + | 2.21512i | −0.519595 | + | 0.0783163i | ||||
\(801\) | 14.1143 | + | 9.62299i | 0.498705 | + | 0.340011i | ||||
\(802\) | 13.5792 | + | 23.5199i | 0.479499 | + | 0.830516i | ||||
\(803\) | 4.65155 | − | 8.05672i | 0.164150 | − | 0.284316i | ||||
\(804\) | −4.97126 | + | 2.39403i | −0.175323 | + | 0.0844310i | ||||
\(805\) | 0.435651 | + | 12.1499i | 0.0153547 | + | 0.428227i | ||||
\(806\) | −2.37570 | − | 1.14408i | −0.0836806 | − | 0.0402984i | ||||
\(807\) | −22.4824 | + | 15.3282i | −0.791418 | + | 0.539580i | ||||
\(808\) | −31.2772 | + | 29.0210i | −1.10033 | + | 1.02096i | ||||
\(809\) | 11.1385 | − | 10.3350i | 0.391608 | − | 0.363359i | −0.459656 | − | 0.888097i | \(-0.652027\pi\) |
0.851264 | + | 0.524738i | \(0.175837\pi\) | |||||||
\(810\) | 1.07906 | − | 0.735688i | 0.0379142 | − | 0.0258495i | ||||
\(811\) | 33.3462 | + | 16.0587i | 1.17094 | + | 0.563896i | 0.915259 | − | 0.402865i | \(-0.131986\pi\) |
0.255682 | + | 0.966761i | \(0.417700\pi\) | |||||||
\(812\) | 2.96957 | − | 6.77748i | 0.104211 | − | 0.237843i | ||||
\(813\) | 2.24252 | − | 1.07994i | 0.0786486 | − | 0.0378752i | ||||
\(814\) | −8.57586 | + | 14.8538i | −0.300584 | + | 0.520626i | ||||
\(815\) | 17.3910 | + | 30.1222i | 0.609182 | + | 1.05513i | ||||
\(816\) | 0.906292 | + | 0.617900i | 0.0317266 | + | 0.0216308i | ||||
\(817\) | −29.5509 | + | 4.45408i | −1.03386 | + | 0.155829i | ||||
\(818\) | −2.62957 | − | 11.5209i | −0.0919408 | − | 0.402819i | ||||
\(819\) | −9.78977 | + | 1.08759i | −0.342082 | + | 0.0380035i | ||||
\(820\) | 4.67181 | − | 20.4685i | 0.163147 | − | 0.714793i | ||||
\(821\) | −2.80605 | + | 37.4441i | −0.0979318 | + | 1.30681i | 0.704346 | + | 0.709857i | \(0.251241\pi\) |
−0.802277 | + | 0.596951i | \(0.796379\pi\) | |||||||
\(822\) | −8.12915 | + | 2.50751i | −0.283537 | + | 0.0874595i | ||||
\(823\) | 18.7334 | − | 47.7319i | 0.653005 | − | 1.66383i | −0.0911622 | − | 0.995836i | \(-0.529058\pi\) |
0.744167 | − | 0.667993i | \(-0.232847\pi\) | |||||||
\(824\) | −27.2790 | − | 8.41445i | −0.950308 | − | 0.293131i | ||||
\(825\) | −3.17881 | + | 3.98611i | −0.110672 | + | 0.138778i | ||||
\(826\) | 16.0992 | + | 8.54080i | 0.560162 | + | 0.297173i | ||||
\(827\) | −27.0513 | − | 33.9212i | −0.940664 | − | 1.17956i | −0.983579 | − | 0.180477i | \(-0.942236\pi\) |
0.0429148 | − | 0.999079i | \(-0.486336\pi\) | |||||||
\(828\) | 1.39772 | + | 3.56132i | 0.0485740 | + | 0.123765i | ||||
\(829\) | 3.29360 | + | 43.9500i | 0.114391 | + | 1.52645i | 0.698994 | + | 0.715128i | \(0.253631\pi\) |
−0.584603 | + | 0.811320i | \(0.698750\pi\) | |||||||
\(830\) | −3.69467 | − | 0.556882i | −0.128244 | − | 0.0193297i | ||||
\(831\) | −2.59671 | − | 2.40939i | −0.0900788 | − | 0.0835809i | ||||
\(832\) | 16.0200 | 0.555393 | ||||||||
\(833\) | 22.6356 | − | 17.9361i | 0.784276 | − | 0.621449i | ||||
\(834\) | 9.89090 | 0.342494 | ||||||||
\(835\) | 10.2282 | + | 9.49036i | 0.353960 | + | 0.328427i | ||||
\(836\) | −9.53199 | − | 1.43672i | −0.329671 | − | 0.0496899i | ||||
\(837\) | 0.0630258 | + | 0.841021i | 0.00217849 | + | 0.0290699i | ||||
\(838\) | 0.298834 | + | 0.761418i | 0.0103231 | + | 0.0263027i | ||||
\(839\) | 15.6386 | + | 19.6102i | 0.539905 | + | 0.677019i | 0.974702 | − | 0.223509i | \(-0.0717513\pi\) |
−0.434797 | + | 0.900529i | \(0.643180\pi\) | |||||||
\(840\) | −2.09905 | − | 11.1892i | −0.0724241 | − | 0.386064i | ||||
\(841\) | −15.1721 | + | 19.0252i | −0.523174 | + | 0.656040i | ||||
\(842\) | 13.2968 | + | 4.10152i | 0.458239 | + | 0.141348i | ||||
\(843\) | −4.18385 | + | 10.6603i | −0.144099 | + | 0.367159i | ||||
\(844\) | 3.07756 | − | 0.949301i | 0.105934 | − | 0.0326763i | ||||
\(845\) | −0.0999863 | + | 1.33422i | −0.00343963 | + | 0.0458987i | ||||
\(846\) | 0.311679 | − | 1.36555i | 0.0107157 | − | 0.0469487i | ||||
\(847\) | −17.7202 | − | 6.23158i | −0.608872 | − | 0.214120i | ||||
\(848\) | 0.291628 | + | 1.27771i | 0.0100146 | + | 0.0438766i | ||||
\(849\) | −27.3064 | + | 4.11578i | −0.937154 | + | 0.141253i | ||||
\(850\) | −7.39038 | − | 5.03868i | −0.253488 | − | 0.172825i | ||||
\(851\) | 15.2788 | + | 26.4637i | 0.523752 | + | 0.907165i | ||||
\(852\) | 9.48756 | − | 16.4329i | 0.325038 | − | 0.562983i | ||||
\(853\) | −19.1929 | + | 9.24280i | −0.657151 | + | 0.316467i | −0.732577 | − | 0.680684i | \(-0.761683\pi\) |
0.0754259 | + | 0.997151i | \(0.475968\pi\) | |||||||
\(854\) | −5.76296 | − | 1.09972i | −0.197204 | − | 0.0376316i | ||||
\(855\) | 5.28204 | + | 2.54370i | 0.180642 | + | 0.0869926i | ||||
\(856\) | 34.0027 | − | 23.1827i | 1.16219 | − | 0.792367i | ||||
\(857\) | −11.5022 | + | 10.6724i | −0.392906 | + | 0.364564i | −0.851746 | − | 0.523955i | \(-0.824456\pi\) |
0.458839 | + | 0.888519i | \(0.348265\pi\) | |||||||
\(858\) | 4.52632 | − | 4.19981i | 0.154526 | − | 0.143379i | ||||
\(859\) | 14.9195 | − | 10.1720i | 0.509047 | − | 0.347062i | −0.281402 | − | 0.959590i | \(-0.590799\pi\) |
0.790449 | + | 0.612527i | \(0.209847\pi\) | |||||||
\(860\) | −14.3808 | − | 6.92544i | −0.490382 | − | 0.236156i | ||||
\(861\) | −27.0985 | − | 5.17109i | −0.923515 | − | 0.176230i | ||||
\(862\) | −23.5089 | + | 11.3213i | −0.800717 | + | 0.385605i | ||||
\(863\) | −19.5951 | + | 33.9397i | −0.667026 | + | 1.15532i | 0.311706 | + | 0.950179i | \(0.399100\pi\) |
−0.978732 | + | 0.205144i | \(0.934234\pi\) | |||||||
\(864\) | −2.87854 | − | 4.98578i | −0.0979300 | − | 0.169620i | ||||
\(865\) | 8.65258 | + | 5.89923i | 0.294197 | + | 0.200580i | ||||
\(866\) | 7.98995 | − | 1.20429i | 0.271510 | − | 0.0409235i | ||||
\(867\) | 0.00487136 | + | 0.0213428i | 0.000165440 | + | 0.000724840i | ||||
\(868\) | 2.72545 | + | 0.958446i | 0.0925076 | + | 0.0325318i | ||||
\(869\) | −6.26024 | + | 27.4279i | −0.212364 | + | 0.930429i | ||||
\(870\) | 0.210816 | − | 2.81314i | 0.00714732 | − | 0.0953743i | ||||
\(871\) | 15.1608 | − | 4.67650i | 0.513705 | − | 0.158457i | ||||
\(872\) | −12.1567 | + | 30.9748i | −0.411679 | + | 1.04894i | ||||
\(873\) | 5.49324 | + | 1.69444i | 0.185918 | + | 0.0573481i | ||||
\(874\) | 5.83262 | − | 7.31387i | 0.197291 | − | 0.247395i | ||||
\(875\) | −5.75159 | − | 30.6594i | −0.194439 | − | 1.03648i | ||||
\(876\) | 3.80269 | + | 4.76843i | 0.128481 | + | 0.161110i | ||||
\(877\) | −12.2633 | − | 31.2463i | −0.414102 | − | 1.05511i | −0.973999 | − | 0.226552i | \(-0.927255\pi\) |
0.559897 | − | 0.828562i | \(-0.310841\pi\) | |||||||
\(878\) | −0.501063 | − | 6.68622i | −0.0169101 | − | 0.225649i | ||||
\(879\) | −9.00374 | − | 1.35710i | −0.303689 | − | 0.0457737i | ||||
\(880\) | −0.598564 | − | 0.555386i | −0.0201776 | − | 0.0187221i | ||||
\(881\) | 4.10302 | 0.138234 | 0.0691171 | − | 0.997609i | \(-0.477982\pi\) | ||||
0.0691171 | + | 0.997609i | \(0.477982\pi\) | |||||||
\(882\) | −5.73522 | + | 1.29023i | −0.193115 | + | 0.0434442i | ||||
\(883\) | 8.81326 | 0.296590 | 0.148295 | − | 0.988943i | \(-0.452622\pi\) | ||||
0.148295 | + | 0.988943i | \(0.452622\pi\) | |||||||
\(884\) | −14.5784 | − | 13.5268i | −0.490326 | − | 0.454956i | ||||
\(885\) | −12.6131 | − | 1.90111i | −0.423983 | − | 0.0639052i | ||||
\(886\) | −1.67990 | − | 22.4167i | −0.0564373 | − | 0.753103i | ||||
\(887\) | −15.6292 | − | 39.8226i | −0.524778 | − | 1.33711i | −0.910122 | − | 0.414339i | \(-0.864013\pi\) |
0.385345 | − | 0.922773i | \(-0.374083\pi\) | |||||||
\(888\) | −17.8406 | − | 22.3713i | −0.598690 | − | 0.750733i | ||||
\(889\) | −6.27820 | − | 3.33066i | −0.210564 | − | 0.111707i | ||||
\(890\) | 13.9099 | − | 17.4424i | 0.466259 | − | 0.584671i | ||||
\(891\) | −1.88719 | − | 0.582120i | −0.0632231 | − | 0.0195017i | ||||
\(892\) | −0.654193 | + | 1.66686i | −0.0219040 | + | 0.0558105i | ||||
\(893\) | 6.00832 | − | 1.85332i | 0.201061 | − | 0.0620190i | ||||
\(894\) | 0.976988 | − | 13.0370i | 0.0326754 | − | 0.436022i | ||||
\(895\) | −0.553477 | + | 2.42494i | −0.0185007 | + | 0.0810568i | ||||
\(896\) | −20.7750 | + | 2.30799i | −0.694043 | + | 0.0771044i | ||||
\(897\) | −2.44790 | − | 10.7250i | −0.0817331 | − | 0.358096i | ||||
\(898\) | −17.8338 | + | 2.68802i | −0.595123 | + | 0.0897003i | ||||
\(899\) | 1.50521 | + | 1.02623i | 0.0502015 | + | 0.0342268i | ||||
\(900\) | −1.67124 | − | 2.89468i | −0.0557081 | − | 0.0964893i | ||||
\(901\) | −10.1689 | + | 17.6130i | −0.338775 | + | 0.586775i | ||||
\(902\) | 15.5810 | − | 7.50344i | 0.518792 | − | 0.249837i | ||||
\(903\) | −8.41712 | + | 19.2105i | −0.280104 | + | 0.639285i | ||||
\(904\) | −23.7350 | − | 11.4302i | −0.789415 | − | 0.380162i | ||||
\(905\) | −23.6934 | + | 16.1539i | −0.787595 | + | 0.536973i | ||||
\(906\) | −5.58426 | + | 5.18144i | −0.185525 | + | 0.172142i | ||||
\(907\) | −20.6259 | + | 19.1380i | −0.684871 | + | 0.635467i | −0.943834 | − | 0.330420i | \(-0.892810\pi\) |
0.258963 | + | 0.965887i | \(0.416619\pi\) | |||||||
\(908\) | 14.3905 | − | 9.81129i | 0.477566 | − | 0.325599i | ||||
\(909\) | −13.8934 | − | 6.69072i | −0.460815 | − | 0.221917i | ||||
\(910\) | 0.460959 | + | 12.8557i | 0.0152807 | + | 0.426162i | ||||
\(911\) | −44.8307 | + | 21.5893i | −1.48531 | + | 0.715286i | −0.988309 | − | 0.152465i | \(-0.951279\pi\) |
−0.496999 | + | 0.867751i | \(0.665565\pi\) | |||||||
\(912\) | 0.501135 | − | 0.867991i | 0.0165942 | − | 0.0287420i | ||||
\(913\) | 2.82511 | + | 4.89324i | 0.0934977 | + | 0.161943i | ||||
\(914\) | 16.1370 | + | 11.0020i | 0.533765 | + | 0.363915i | ||||
\(915\) | 4.06049 | − | 0.612021i | 0.134236 | − | 0.0202328i | ||||
\(916\) | −6.68918 | − | 29.3072i | −0.221017 | − | 0.968337i | ||||
\(917\) | 33.9609 | + | 34.0669i | 1.12149 | + | 1.12499i | ||||
\(918\) | 0.770987 | − | 3.37792i | 0.0254464 | − | 0.111488i | ||||
\(919\) | −1.99544 | + | 26.6273i | −0.0658236 | + | 0.878355i | 0.862375 | + | 0.506270i | \(0.168976\pi\) |
−0.928199 | + | 0.372085i | \(0.878643\pi\) | |||||||
\(920\) | 12.1496 | − | 3.74764i | 0.400559 | − | 0.123556i | ||||
\(921\) | −3.06820 | + | 7.81764i | −0.101100 | + | 0.257600i | ||||
\(922\) | 30.0370 | + | 9.26519i | 0.989216 | + | 0.305133i | ||||
\(923\) | −34.0186 | + | 42.6579i | −1.11973 | + | 1.40410i | ||||
\(924\) | −4.42089 | + | 5.12099i | −0.145436 | + | 0.168468i | ||||
\(925\) | −16.6456 | − | 20.8729i | −0.547303 | − | 0.686296i | ||||
\(926\) | 0.538424 | + | 1.37188i | 0.0176937 | + | 0.0450828i | ||||
\(927\) | −0.771019 | − | 10.2885i | −0.0253236 | − | 0.337920i | ||||
\(928\) | −12.2968 | − | 1.85345i | −0.403663 | − | 0.0608424i | ||||
\(929\) | 11.8656 | + | 11.0096i | 0.389296 | + | 0.361214i | 0.850404 | − | 0.526130i | \(-0.176357\pi\) |
−0.461108 | + | 0.887344i | \(0.652548\pi\) | |||||||
\(930\) | 1.10144 | 0.0361177 | ||||||||
\(931\) | −17.8887 | − | 19.4004i | −0.586279 | − | 0.635823i | ||||
\(932\) | 31.9758 | 1.04740 | ||||||||
\(933\) | 8.97110 | + | 8.32397i | 0.293701 | + | 0.272514i | ||||
\(934\) | −13.7566 | − | 2.07347i | −0.450129 | − | 0.0678460i | ||||
\(935\) | −0.946927 | − | 12.6359i | −0.0309678 | − | 0.413237i | ||||
\(936\) | 3.76340 | + | 9.58898i | 0.123011 | + | 0.313426i | ||||
\(937\) | −12.9598 | − | 16.2511i | −0.423379 | − | 0.530900i | 0.523699 | − | 0.851903i | \(-0.324552\pi\) |
−0.947078 | + | 0.321003i | \(0.895980\pi\) | |||||||
\(938\) | 8.68460 | − | 3.77295i | 0.283562 | − | 0.123191i | ||||
\(939\) | −11.0062 | + | 13.8013i | −0.359173 | + | 0.450389i | ||||
\(940\) | 3.20906 | + | 0.989865i | 0.104668 | + | 0.0322858i | ||||
\(941\) | 1.43081 | − | 3.64565i | 0.0466431 | − | 0.118845i | −0.905654 | − | 0.424018i | \(-0.860619\pi\) |
0.952297 | + | 0.305174i | \(0.0987145\pi\) | |||||||
\(942\) | 17.4327 | − | 5.37727i | 0.567988 | − | 0.175201i | ||||
\(943\) | 2.30247 | − | 30.7244i | 0.0749789 | − | 1.00052i | ||||
\(944\) | −0.485246 | + | 2.12600i | −0.0157934 | + | 0.0691954i | ||||
\(945\) | 3.48724 | − | 2.18360i | 0.113440 | − | 0.0710326i | ||||
\(946\) | −2.92562 | − | 12.8180i | −0.0951200 | − | 0.416748i | ||||
\(947\) | 50.6784 | − | 7.63854i | 1.64683 | − | 0.248219i | 0.740889 | − | 0.671628i | \(-0.234405\pi\) |
0.905939 | + | 0.423409i | \(0.139167\pi\) | |||||||
\(948\) | −15.2391 | − | 10.3899i | −0.494944 | − | 0.337447i | ||||
\(949\) | −8.76868 | − | 15.1878i | −0.284643 | − | 0.493017i | ||||
\(950\) | −4.08652 | + | 7.07805i | −0.132584 | + | 0.229642i | ||||
\(951\) | −7.71632 | + | 3.71598i | −0.250219 | + | 0.120499i | ||||
\(952\) | −24.2731 | − | 17.9729i | −0.786697 | − | 0.582505i | ||||
\(953\) | −16.6190 | − | 8.00331i | −0.538344 | − | 0.259253i | 0.144896 | − | 0.989447i | \(-0.453715\pi\) |
−0.683240 | + | 0.730194i | \(0.739430\pi\) | |||||||
\(954\) | 3.42041 | − | 2.33199i | 0.110740 | − | 0.0755011i | ||||
\(955\) | 4.66396 | − | 4.32753i | 0.150922 | − | 0.140035i | ||||
\(956\) | −3.61186 | + | 3.35132i | −0.116816 | + | 0.108389i | ||||
\(957\) | −3.52472 | + | 2.40311i | −0.113938 | + | 0.0776817i | ||||
\(958\) | 19.2263 | + | 9.25889i | 0.621173 | + | 0.299141i | ||||
\(959\) | −25.8990 | + | 6.89636i | −0.836321 | + | 0.222695i | ||||
\(960\) | −6.02908 | + | 2.90345i | −0.194588 | + | 0.0937085i | ||||
\(961\) | 15.1444 | − | 26.2308i | 0.488528 | − | 0.846155i | ||||
\(962\) | 16.1664 | + | 28.0011i | 0.521227 | + | 0.902791i | ||||
\(963\) | 12.2891 | + | 8.37855i | 0.396010 | + | 0.269995i | ||||
\(964\) | 15.9875 | − | 2.40972i | 0.514922 | − | 0.0776120i | ||||
\(965\) | −5.71792 | − | 25.0518i | −0.184066 | − | 0.806448i | ||||
\(966\) | −2.15873 | − | 6.20029i | −0.0694561 | − | 0.199491i | ||||
\(967\) | −4.88443 | + | 21.4001i | −0.157073 | + | 0.688181i | 0.833651 | + | 0.552291i | \(0.186246\pi\) |
−0.990724 | + | 0.135890i | \(0.956611\pi\) | |||||||
\(968\) | −1.46801 | + | 19.5892i | −0.0471835 | + | 0.629620i | ||||
\(969\) | 14.8626 | − | 4.58449i | 0.477454 | − | 0.147275i | ||||
\(970\) | 2.74285 | − | 6.98867i | 0.0880676 | − | 0.224393i | ||||
\(971\) | 38.1611 | + | 11.7711i | 1.22465 | + | 0.377754i | 0.838612 | − | 0.544729i | \(-0.183368\pi\) |
0.386037 | + | 0.922483i | \(0.373844\pi\) | |||||||
\(972\) | 0.807262 | − | 1.01227i | 0.0258929 | − | 0.0324687i | ||||
\(973\) | 31.1374 | + | 1.21369i | 0.998220 | + | 0.0389091i | ||||
\(974\) | 6.24215 | + | 7.82741i | 0.200011 | + | 0.250806i | ||||
\(975\) | 3.51132 | + | 8.94670i | 0.112452 | + | 0.286524i | ||||
\(976\) | −0.0524620 | − | 0.700056i | −0.00167927 | − | 0.0224083i | ||||
\(977\) | −23.9392 | − | 3.60825i | −0.765882 | − | 0.115438i | −0.245529 | − | 0.969389i | \(-0.578962\pi\) |
−0.520353 | + | 0.853951i | \(0.674200\pi\) | |||||||
\(978\) | −13.7688 | − | 12.7756i | −0.440278 | − | 0.408519i | ||||
\(979\) | −33.7369 | −1.07824 | ||||||||
\(980\) | −2.05721 | − | 13.9435i | −0.0657152 | − | 0.445410i | ||||
\(981\) | −12.0261 | −0.383963 | ||||||||
\(982\) | 1.56651 | + | 1.45351i | 0.0499895 | + | 0.0463835i | ||||
\(983\) | 51.8632 | + | 7.81712i | 1.65418 | + | 0.249328i | 0.908776 | − | 0.417285i | \(-0.137018\pi\) |
0.745404 | + | 0.666613i | \(0.232256\pi\) | |||||||
\(984\) | 2.15602 | + | 28.7701i | 0.0687315 | + | 0.917158i | ||||
\(985\) | 6.34104 | + | 16.1567i | 0.202042 | + | 0.514795i | ||||
\(986\) | −4.66632 | − | 5.85138i | −0.148606 | − | 0.186346i | ||||
\(987\) | 1.14876 | − | 4.26064i | 0.0365653 | − | 0.135618i | ||||
\(988\) | −11.3299 | + | 14.2073i | −0.360453 | + | 0.451994i | ||||
\(989\) | −22.3832 | − | 6.90431i | −0.711746 | − | 0.219544i | ||||
\(990\) | −0.942297 | + | 2.40093i | −0.0299482 | + | 0.0763067i | ||||
\(991\) | −0.259667 | + | 0.0800967i | −0.00824860 | + | 0.00254436i | −0.298877 | − | 0.954292i | \(-0.596612\pi\) |
0.290628 | + | 0.956836i | \(0.406136\pi\) | |||||||
\(992\) | 0.362845 | − | 4.84183i | 0.0115203 | − | 0.153728i | ||||
\(993\) | −3.19977 | + | 14.0191i | −0.101542 | + | 0.444883i | ||||
\(994\) | −17.3674 | + | 27.5446i | −0.550860 | + | 0.873662i | ||||
\(995\) | −2.49305 | − | 10.9227i | −0.0790348 | − | 0.346274i | ||||
\(996\) | −3.66288 | + | 0.552090i | −0.116063 | + | 0.0174936i | ||||
\(997\) | −0.829292 | − | 0.565402i | −0.0262639 | − | 0.0179065i | 0.550117 | − | 0.835088i | \(-0.314583\pi\) |
−0.576381 | + | 0.817181i | \(0.695536\pi\) | |||||||
\(998\) | −13.7224 | − | 23.7680i | −0.434376 | − | 0.752361i | ||||
\(999\) | 5.17076 | − | 8.95602i | 0.163596 | − | 0.283356i |
(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 | 147.2.m.a.58.3 | ✓ | 48 | |
3.2 | odd | 2 | 441.2.bb.c.352.2 | 48 | |||
49.11 | even | 21 | inner | 147.2.m.a.109.3 | yes | 48 | |
49.16 | even | 21 | 7203.2.a.i.1.10 | 24 | |||
49.33 | odd | 42 | 7203.2.a.k.1.10 | 24 | |||
147.11 | odd | 42 | 441.2.bb.c.109.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.m.a.58.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
147.2.m.a.109.3 | yes | 48 | 49.11 | even | 21 | inner | |
441.2.bb.c.109.2 | 48 | 147.11 | odd | 42 | |||
441.2.bb.c.352.2 | 48 | 3.2 | odd | 2 | |||
7203.2.a.i.1.10 | 24 | 49.16 | even | 21 | |||
7203.2.a.k.1.10 | 24 | 49.33 | odd | 42 |