Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(47,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.bd (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 47.19 | ||
Character | \(\chi\) | \(=\) | 189.47 |
Dual form | 189.2.bd.a.185.19 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.87320 | + | 0.330296i | 1.32455 | + | 0.233554i | 0.790794 | − | 0.612082i | \(-0.209668\pi\) |
0.533759 | + | 0.845637i | \(0.320779\pi\) | |||||||
\(3\) | 0.583821 | + | 1.63069i | 0.337069 | + | 0.941480i | ||||
\(4\) | 1.52040 | + | 0.553380i | 0.760200 | + | 0.276690i | ||||
\(5\) | −0.848304 | − | 0.308757i | −0.379373 | − | 0.138080i | 0.145293 | − | 0.989389i | \(-0.453588\pi\) |
−0.524666 | + | 0.851308i | \(0.675810\pi\) | |||||||
\(6\) | 0.555004 | + | 3.24744i | 0.226579 | + | 1.32576i | ||||
\(7\) | 2.48993 | − | 0.894564i | 0.941105 | − | 0.338114i | ||||
\(8\) | −0.629295 | − | 0.363324i | −0.222489 | − | 0.128454i | ||||
\(9\) | −2.31831 | + | 1.90406i | −0.772768 | + | 0.634688i | ||||
\(10\) | −1.48706 | − | 0.858555i | −0.470250 | − | 0.271499i | ||||
\(11\) | −1.19563 | − | 3.28497i | −0.360497 | − | 0.990456i | −0.978854 | − | 0.204559i | \(-0.934424\pi\) |
0.618358 | − | 0.785897i | \(-0.287798\pi\) | |||||||
\(12\) | −0.0147504 | + | 2.80238i | −0.00425809 | + | 0.808977i | ||||
\(13\) | −1.35464 | + | 3.72184i | −0.375709 | + | 1.03225i | 0.597407 | + | 0.801938i | \(0.296198\pi\) |
−0.973116 | + | 0.230315i | \(0.926024\pi\) | |||||||
\(14\) | 4.95961 | − | 0.853285i | 1.32551 | − | 0.228050i | ||||
\(15\) | 0.00822998 | − | 1.56358i | 0.00212497 | − | 0.403715i | ||||
\(16\) | −3.53767 | − | 2.96846i | −0.884419 | − | 0.742115i | ||||
\(17\) | −0.233932 | + | 0.405183i | −0.0567369 | + | 0.0982712i | −0.892999 | − | 0.450059i | \(-0.851403\pi\) |
0.836262 | + | 0.548330i | \(0.184736\pi\) | |||||||
\(18\) | −4.97156 | + | 2.80097i | −1.17181 | + | 0.660194i | ||||
\(19\) | 3.14258 | − | 1.81437i | 0.720958 | − | 0.416245i | −0.0941474 | − | 0.995558i | \(-0.530013\pi\) |
0.815105 | + | 0.579313i | \(0.196679\pi\) | |||||||
\(20\) | −1.11890 | − | 0.938869i | −0.250194 | − | 0.209938i | ||||
\(21\) | 2.91243 | + | 3.53804i | 0.635545 | + | 0.772064i | ||||
\(22\) | −1.15465 | − | 6.54832i | −0.246171 | − | 1.39611i | ||||
\(23\) | 3.44344 | − | 0.607171i | 0.718006 | − | 0.126604i | 0.197304 | − | 0.980342i | \(-0.436781\pi\) |
0.520702 | + | 0.853738i | \(0.325670\pi\) | |||||||
\(24\) | 0.225073 | − | 1.23830i | 0.0459428 | − | 0.252767i | ||||
\(25\) | −3.20593 | − | 2.69010i | −0.641187 | − | 0.538020i | ||||
\(26\) | −3.76682 | + | 6.52432i | −0.738734 | + | 1.27953i | ||||
\(27\) | −4.45842 | − | 2.66881i | −0.858023 | − | 0.513612i | ||||
\(28\) | 4.28072 | + | 0.0177830i | 0.808981 | + | 0.00336068i | ||||
\(29\) | −1.79273 | − | 4.92550i | −0.332902 | − | 0.914642i | −0.987353 | − | 0.158537i | \(-0.949322\pi\) |
0.654451 | − | 0.756105i | \(-0.272900\pi\) | |||||||
\(30\) | 0.531860 | − | 2.92618i | 0.0971040 | − | 0.534245i | ||||
\(31\) | −2.38270 | + | 6.54641i | −0.427945 | + | 1.17577i | 0.519112 | + | 0.854706i | \(0.326263\pi\) |
−0.947057 | + | 0.321064i | \(0.895959\pi\) | |||||||
\(32\) | −4.71214 | − | 5.61571i | −0.832997 | − | 0.992727i | ||||
\(33\) | 4.65874 | − | 3.86754i | 0.810982 | − | 0.673253i | ||||
\(34\) | −0.572032 | + | 0.681722i | −0.0981027 | + | 0.116914i | ||||
\(35\) | −2.38842 | − | 0.00992201i | −0.403717 | − | 0.00167713i | ||||
\(36\) | −4.57842 | + | 1.61203i | −0.763070 | + | 0.268672i | ||||
\(37\) | 9.85377 | 1.61995 | 0.809975 | − | 0.586464i | \(-0.199481\pi\) | ||||
0.809975 | + | 0.586464i | \(0.199481\pi\) | |||||||
\(38\) | 6.48596 | − | 2.36070i | 1.05216 | − | 0.382956i | ||||
\(39\) | −6.86004 | − | 0.0361081i | −1.09849 | − | 0.00578193i | ||||
\(40\) | 0.421655 | + | 0.502508i | 0.0666695 | + | 0.0794536i | ||||
\(41\) | 2.71326 | + | 0.987547i | 0.423741 | + | 0.154229i | 0.545084 | − | 0.838382i | \(-0.316498\pi\) |
−0.121343 | + | 0.992611i | \(0.538720\pi\) | |||||||
\(42\) | 4.28697 | + | 7.58943i | 0.661494 | + | 1.17107i | ||||
\(43\) | −1.54504 | + | 8.76238i | −0.235617 | + | 1.33625i | 0.605693 | + | 0.795698i | \(0.292896\pi\) |
−0.841310 | + | 0.540553i | \(0.818215\pi\) | |||||||
\(44\) | − | 5.65611i | − | 0.852690i | ||||||
\(45\) | 2.55452 | − | 0.899431i | 0.380805 | − | 0.134079i | ||||
\(46\) | 6.65080 | 0.980606 | ||||||||
\(47\) | −3.13508 | + | 1.14108i | −0.457298 | + | 0.166443i | −0.560390 | − | 0.828229i | \(-0.689349\pi\) |
0.103092 | + | 0.994672i | \(0.467126\pi\) | |||||||
\(48\) | 2.77527 | − | 7.50190i | 0.400576 | − | 1.08281i | ||||
\(49\) | 5.39951 | − | 4.45481i | 0.771358 | − | 0.636401i | ||||
\(50\) | −5.11683 | − | 6.09800i | −0.723629 | − | 0.862387i | ||||
\(51\) | −0.797302 | − | 0.144917i | −0.111645 | − | 0.0202924i | ||||
\(52\) | −4.11919 | + | 4.90906i | −0.571228 | + | 0.680764i | ||||
\(53\) | −8.75304 | + | 5.05357i | −1.20232 | + | 0.694161i | −0.961071 | − | 0.276302i | \(-0.910891\pi\) |
−0.241251 | + | 0.970463i | \(0.577558\pi\) | |||||||
\(54\) | −7.47001 | − | 6.47181i | −1.01654 | − | 0.880701i | ||||
\(55\) | 3.15581i | 0.425530i | ||||||||
\(56\) | −1.89192 | − | 0.341706i | −0.252818 | − | 0.0456624i | ||||
\(57\) | 4.79338 | + | 4.06531i | 0.634899 | + | 0.538464i | ||||
\(58\) | −1.73128 | − | 9.81858i | −0.227328 | − | 1.28924i | ||||
\(59\) | −2.48304 | + | 2.08352i | −0.323265 | + | 0.271251i | −0.789949 | − | 0.613173i | \(-0.789893\pi\) |
0.466684 | + | 0.884424i | \(0.345449\pi\) | |||||||
\(60\) | 0.877767 | − | 2.37271i | 0.113319 | − | 0.306316i | ||||
\(61\) | 0.0209011 | + | 0.0574254i | 0.00267611 | + | 0.00735257i | 0.941023 | − | 0.338341i | \(-0.109866\pi\) |
−0.938347 | + | 0.345694i | \(0.887644\pi\) | |||||||
\(62\) | −6.62553 | + | 11.4757i | −0.841443 | + | 1.45742i | ||||
\(63\) | −4.06911 | + | 6.81486i | −0.512660 | + | 0.858592i | ||||
\(64\) | −2.35384 | − | 4.07697i | −0.294230 | − | 0.509621i | ||||
\(65\) | 2.29829 | − | 2.73900i | 0.285068 | − | 0.339731i | ||||
\(66\) | 10.0042 | − | 5.70592i | 1.23143 | − | 0.702350i | ||||
\(67\) | 1.78024 | + | 10.0962i | 0.217491 | + | 1.23345i | 0.876532 | + | 0.481344i | \(0.159851\pi\) |
−0.659041 | + | 0.752107i | \(0.729038\pi\) | |||||||
\(68\) | −0.579891 | + | 0.486586i | −0.0703221 | + | 0.0590072i | ||||
\(69\) | 3.00046 | + | 5.26070i | 0.361213 | + | 0.633314i | ||||
\(70\) | −4.47071 | − | 0.807471i | −0.534352 | − | 0.0965113i | ||||
\(71\) | −2.19935 | + | 1.26979i | −0.261014 | + | 0.150697i | −0.624797 | − | 0.780787i | \(-0.714818\pi\) |
0.363783 | + | 0.931484i | \(0.381485\pi\) | |||||||
\(72\) | 2.15069 | − | 0.355923i | 0.253461 | − | 0.0419459i | ||||
\(73\) | 8.37008i | 0.979643i | 0.871823 | + | 0.489822i | \(0.162938\pi\) | ||||
−0.871823 | + | 0.489822i | \(0.837062\pi\) | |||||||
\(74\) | 18.4581 | + | 3.25466i | 2.14571 | + | 0.378346i | ||||
\(75\) | 2.51503 | − | 6.79842i | 0.290410 | − | 0.785014i | ||||
\(76\) | 5.78202 | − | 1.01953i | 0.663243 | − | 0.116948i | ||||
\(77\) | −5.91566 | − | 7.10978i | −0.674152 | − | 0.810235i | ||||
\(78\) | −12.8383 | − | 2.33348i | −1.45365 | − | 0.264215i | ||||
\(79\) | 1.64089 | − | 9.30597i | 0.184615 | − | 1.04700i | −0.741834 | − | 0.670583i | \(-0.766044\pi\) |
0.926449 | − | 0.376420i | \(-0.122845\pi\) | |||||||
\(80\) | 2.08449 | + | 3.61044i | 0.233053 | + | 0.403659i | ||||
\(81\) | 1.74908 | − | 8.82840i | 0.194342 | − | 0.980934i | ||||
\(82\) | 4.75630 | + | 2.74605i | 0.525246 | + | 0.303251i | ||||
\(83\) | −10.6153 | + | 3.86367i | −1.16518 | + | 0.424092i | −0.850947 | − | 0.525252i | \(-0.823971\pi\) |
−0.314237 | + | 0.949344i | \(0.601749\pi\) | |||||||
\(84\) | 2.47018 | + | 6.99092i | 0.269519 | + | 0.762772i | ||||
\(85\) | 0.323549 | − | 0.271490i | 0.0350938 | − | 0.0294472i | ||||
\(86\) | −5.78836 | + | 15.9034i | −0.624175 | + | 1.71491i | ||||
\(87\) | 6.98533 | − | 5.79900i | 0.748906 | − | 0.621719i | ||||
\(88\) | −0.441103 | + | 2.50162i | −0.0470217 | + | 0.266673i | ||||
\(89\) | −1.51868 | − | 2.63043i | −0.160980 | − | 0.278825i | 0.774241 | − | 0.632891i | \(-0.218132\pi\) |
−0.935220 | + | 0.354066i | \(0.884799\pi\) | |||||||
\(90\) | 5.08221 | − | 0.841067i | 0.535712 | − | 0.0886562i | ||||
\(91\) | −0.0435318 | + | 10.4789i | −0.00456337 | + | 1.09849i | ||||
\(92\) | 5.57140 | + | 0.982388i | 0.580858 | + | 0.102421i | ||||
\(93\) | −12.0662 | − | 0.0635112i | −1.25121 | − | 0.00658581i | ||||
\(94\) | −6.24952 | + | 1.10196i | −0.644589 | + | 0.113658i | ||||
\(95\) | −3.22606 | + | 0.568842i | −0.330987 | + | 0.0583620i | ||||
\(96\) | 6.40644 | − | 10.9626i | 0.653855 | − | 1.11887i | ||||
\(97\) | 5.02929 | + | 0.886800i | 0.510647 | + | 0.0900409i | 0.423034 | − | 0.906114i | \(-0.360965\pi\) |
0.0876131 | + | 0.996155i | \(0.472076\pi\) | |||||||
\(98\) | 11.5858 | − | 6.56131i | 1.17034 | − | 0.662792i | ||||
\(99\) | 9.02664 | + | 5.33901i | 0.907211 | + | 0.536590i | ||||
\(100\) | −3.38565 | − | 5.86413i | −0.338565 | − | 0.586413i | ||||
\(101\) | 2.32953 | − | 13.2114i | 0.231797 | − | 1.31459i | −0.617457 | − | 0.786604i | \(-0.711837\pi\) |
0.849255 | − | 0.527983i | \(-0.177052\pi\) | |||||||
\(102\) | −1.44564 | − | 0.534804i | −0.143140 | − | 0.0529535i | ||||
\(103\) | 5.15600 | − | 14.1660i | 0.508036 | − | 1.39582i | −0.375225 | − | 0.926934i | \(-0.622434\pi\) |
0.883260 | − | 0.468883i | \(-0.155343\pi\) | |||||||
\(104\) | 2.20470 | − | 1.84996i | 0.216189 | − | 0.181404i | ||||
\(105\) | −1.37823 | − | 3.90057i | −0.134502 | − | 0.380656i | ||||
\(106\) | −18.0654 | + | 6.57525i | −1.75466 | + | 0.638645i | ||||
\(107\) | 12.8332 | + | 7.40924i | 1.24063 | + | 0.716278i | 0.969222 | − | 0.246187i | \(-0.0791777\pi\) |
0.271407 | + | 0.962465i | \(0.412511\pi\) | |||||||
\(108\) | −5.30171 | − | 6.52485i | −0.510157 | − | 0.627854i | ||||
\(109\) | −1.48332 | − | 2.56918i | −0.142076 | − | 0.246083i | 0.786202 | − | 0.617969i | \(-0.212044\pi\) |
−0.928278 | + | 0.371886i | \(0.878711\pi\) | |||||||
\(110\) | −1.04235 | + | 5.91147i | −0.0993844 | + | 0.563637i | ||||
\(111\) | 5.75284 | + | 16.0685i | 0.546036 | + | 1.52515i | ||||
\(112\) | −11.4640 | − | 4.22659i | −1.08325 | − | 0.399375i | ||||
\(113\) | 12.0005 | − | 2.11601i | 1.12891 | − | 0.199058i | 0.422162 | − | 0.906520i | \(-0.361271\pi\) |
0.706751 | + | 0.707463i | \(0.250160\pi\) | |||||||
\(114\) | 7.63621 | + | 9.19838i | 0.715197 | + | 0.861507i | ||||
\(115\) | −3.10855 | − | 0.548121i | −0.289874 | − | 0.0511126i | ||||
\(116\) | − | 8.48079i | − | 0.787421i | ||||||
\(117\) | −3.94616 | − | 11.2077i | −0.364822 | − | 1.03615i | ||||
\(118\) | −5.33942 | + | 3.08271i | −0.491533 | + | 0.283787i | ||||
\(119\) | −0.220013 | + | 1.21814i | −0.0201686 | + | 0.111667i | ||||
\(120\) | −0.573265 | + | 0.980963i | −0.0523317 | + | 0.0895493i | ||||
\(121\) | −0.935012 | + | 0.784569i | −0.0850011 | + | 0.0713244i | ||||
\(122\) | 0.0201846 | + | 0.114473i | 0.00182743 | + | 0.0103639i | ||||
\(123\) | −0.0263232 | + | 5.00105i | −0.00237349 | + | 0.450929i | ||||
\(124\) | −7.24531 | + | 8.63463i | −0.650648 | + | 0.775412i | ||||
\(125\) | 4.14588 | + | 7.18088i | 0.370819 | + | 0.642277i | ||||
\(126\) | −9.87318 | + | 11.4216i | −0.879573 | + | 1.01752i | ||||
\(127\) | −4.12812 | + | 7.15011i | −0.366311 | + | 0.634469i | −0.988986 | − | 0.148012i | \(-0.952713\pi\) |
0.622675 | + | 0.782481i | \(0.286046\pi\) | |||||||
\(128\) | 1.95195 | + | 5.36295i | 0.172530 | + | 0.474022i | ||||
\(129\) | −15.1908 | + | 2.59618i | −1.33747 | + | 0.228581i | ||||
\(130\) | 5.20984 | − | 4.37157i | 0.456933 | − | 0.383412i | ||||
\(131\) | 3.60230 | + | 20.4297i | 0.314734 | + | 1.78495i | 0.573704 | + | 0.819062i | \(0.305506\pi\) |
−0.258970 | + | 0.965885i | \(0.583383\pi\) | |||||||
\(132\) | 9.22336 | − | 3.30216i | 0.802791 | − | 0.287416i | ||||
\(133\) | 6.20174 | − | 7.32890i | 0.537759 | − | 0.635496i | ||||
\(134\) | 19.5003i | 1.68457i | ||||||||
\(135\) | 2.95808 | + | 3.64053i | 0.254591 | + | 0.313327i | ||||
\(136\) | 0.294425 | − | 0.169986i | 0.0252467 | − | 0.0145762i | ||||
\(137\) | 7.84338 | − | 9.34738i | 0.670105 | − | 0.798600i | −0.318693 | − | 0.947858i | \(-0.603244\pi\) |
0.988798 | + | 0.149258i | \(0.0476884\pi\) | |||||||
\(138\) | 3.88288 | + | 10.8454i | 0.330532 | + | 0.923221i | ||||
\(139\) | −11.5620 | − | 13.7791i | −0.980677 | − | 1.16873i | −0.985661 | − | 0.168738i | \(-0.946031\pi\) |
0.00498385 | − | 0.999988i | \(-0.498414\pi\) | |||||||
\(140\) | −3.62586 | − | 1.33679i | −0.306441 | − | 0.112979i | ||||
\(141\) | −3.69107 | − | 4.44616i | −0.310844 | − | 0.374434i | ||||
\(142\) | −4.53923 | + | 1.65214i | −0.380923 | + | 0.138645i | ||||
\(143\) | 13.8458 | 1.15784 | ||||||||
\(144\) | 13.8536 | + | 0.145842i | 1.15446 | + | 0.0121535i | ||||
\(145\) | 4.73184i | 0.392958i | ||||||||
\(146\) | −2.76460 | + | 15.6788i | −0.228800 | + | 1.29759i | ||||
\(147\) | 10.4168 | + | 6.20412i | 0.859160 | + | 0.511707i | ||||
\(148\) | 14.9817 | + | 5.45288i | 1.23149 | + | 0.448224i | ||||
\(149\) | −7.23973 | − | 8.62797i | −0.593102 | − | 0.706831i | 0.383097 | − | 0.923708i | \(-0.374857\pi\) |
−0.976199 | + | 0.216877i | \(0.930413\pi\) | |||||||
\(150\) | 6.95664 | − | 11.9041i | 0.568007 | − | 0.971966i | ||||
\(151\) | 5.72173 | − | 2.08254i | 0.465628 | − | 0.169475i | −0.0985428 | − | 0.995133i | \(-0.531418\pi\) |
0.564171 | + | 0.825658i | \(0.309196\pi\) | |||||||
\(152\) | −2.63682 | −0.213874 | ||||||||
\(153\) | −0.229167 | − | 1.38476i | −0.0185271 | − | 0.111951i | ||||
\(154\) | −8.73288 | − | 15.2720i | −0.703716 | − | 1.23065i | ||||
\(155\) | 4.04251 | − | 4.81767i | 0.324702 | − | 0.386965i | ||||
\(156\) | −10.4100 | − | 3.85111i | −0.833469 | − | 0.308336i | ||||
\(157\) | 3.07275 | + | 3.66196i | 0.245232 | + | 0.292256i | 0.874594 | − | 0.484856i | \(-0.161128\pi\) |
−0.629362 | + | 0.777112i | \(0.716684\pi\) | |||||||
\(158\) | 6.14744 | − | 16.8900i | 0.489064 | − | 1.34369i | ||||
\(159\) | −13.3510 | − | 11.3231i | −1.05880 | − | 0.897981i | ||||
\(160\) | 2.26344 | + | 6.21874i | 0.178940 | + | 0.491635i | ||||
\(161\) | 8.03077 | − | 4.59219i | 0.632913 | − | 0.361915i | ||||
\(162\) | 6.19236 | − | 15.9597i | 0.486518 | − | 1.25391i | ||||
\(163\) | 3.98040 | − | 6.89426i | 0.311769 | − | 0.540000i | −0.666976 | − | 0.745079i | \(-0.732412\pi\) |
0.978745 | + | 0.205079i | \(0.0657451\pi\) | |||||||
\(164\) | 3.57876 | + | 3.00293i | 0.279454 | + | 0.234490i | ||||
\(165\) | −5.14616 | + | 1.84243i | −0.400628 | + | 0.143433i | ||||
\(166\) | −21.1608 | + | 3.73122i | −1.64240 | + | 0.289599i | ||||
\(167\) | −3.90196 | − | 22.1291i | −0.301943 | − | 1.71240i | −0.637556 | − | 0.770404i | \(-0.720055\pi\) |
0.335613 | − | 0.942000i | \(-0.391057\pi\) | |||||||
\(168\) | −0.547325 | − | 3.28463i | −0.0422271 | − | 0.253415i | ||||
\(169\) | −2.05848 | − | 1.72727i | −0.158344 | − | 0.132867i | ||||
\(170\) | 0.695744 | − | 0.401688i | 0.0533611 | − | 0.0308080i | ||||
\(171\) | −3.83079 | + | 10.1899i | −0.292948 | + | 0.779244i | ||||
\(172\) | −7.19802 | + | 12.4673i | −0.548844 | + | 0.950625i | ||||
\(173\) | 5.93288 | + | 4.97828i | 0.451069 | + | 0.378491i | 0.839832 | − | 0.542846i | \(-0.182653\pi\) |
−0.388764 | + | 0.921338i | \(0.627098\pi\) | |||||||
\(174\) | 15.0003 | − | 8.55548i | 1.13717 | − | 0.648589i | ||||
\(175\) | −10.3890 | − | 3.83024i | −0.785336 | − | 0.289539i | ||||
\(176\) | −5.52155 | + | 15.1703i | −0.416203 | + | 1.14351i | ||||
\(177\) | −4.84723 | − | 2.83267i | −0.364340 | − | 0.212917i | ||||
\(178\) | −1.97597 | − | 5.42893i | −0.148105 | − | 0.406916i | ||||
\(179\) | 1.62040 | + | 0.935541i | 0.121115 | + | 0.0699256i | 0.559333 | − | 0.828943i | \(-0.311057\pi\) |
−0.438219 | + | 0.898868i | \(0.644390\pi\) | |||||||
\(180\) | 4.38162 | + | 0.0461270i | 0.326587 | + | 0.00343810i | ||||
\(181\) | −18.1786 | − | 10.4954i | −1.35121 | − | 0.780121i | −0.362790 | − | 0.931871i | \(-0.618176\pi\) |
−0.988419 | + | 0.151751i | \(0.951509\pi\) | |||||||
\(182\) | −3.54269 | + | 19.6148i | −0.262602 | + | 1.45394i | ||||
\(183\) | −0.0814405 | + | 0.0676094i | −0.00602026 | + | 0.00499783i | ||||
\(184\) | −2.38754 | − | 0.868993i | −0.176012 | − | 0.0640630i | ||||
\(185\) | −8.35899 | − | 3.04242i | −0.614565 | − | 0.223683i | ||||
\(186\) | −22.5815 | − | 4.10440i | −1.65576 | − | 0.300949i | ||||
\(187\) | 1.61071 | + | 0.284012i | 0.117787 | + | 0.0207690i | ||||
\(188\) | −5.39802 | −0.393691 | ||||||||
\(189\) | −13.4886 | − | 2.65680i | −0.981149 | − | 0.193254i | ||||
\(190\) | −6.23095 | −0.452041 | ||||||||
\(191\) | 10.0948 | + | 1.77999i | 0.730436 | + | 0.128796i | 0.526484 | − | 0.850185i | \(-0.323510\pi\) |
0.203952 | + | 0.978981i | \(0.434621\pi\) | |||||||
\(192\) | 5.27405 | − | 6.21860i | 0.380622 | − | 0.448789i | ||||
\(193\) | 9.47459 | + | 3.44847i | 0.681996 | + | 0.248226i | 0.659704 | − | 0.751525i | \(-0.270682\pi\) |
0.0222917 | + | 0.999752i | \(0.492904\pi\) | |||||||
\(194\) | 9.12797 | + | 3.32231i | 0.655350 | + | 0.238528i | ||||
\(195\) | 5.80825 | + | 2.14872i | 0.415937 | + | 0.153873i | ||||
\(196\) | 10.6746 | − | 3.78510i | 0.762472 | − | 0.270365i | ||||
\(197\) | −23.0223 | − | 13.2919i | −1.64027 | − | 0.947010i | −0.980737 | − | 0.195334i | \(-0.937421\pi\) |
−0.659533 | − | 0.751676i | \(-0.729246\pi\) | |||||||
\(198\) | 15.1452 | + | 12.9825i | 1.07633 | + | 0.922626i | ||||
\(199\) | −16.8725 | − | 9.74135i | −1.19606 | − | 0.690546i | −0.236387 | − | 0.971659i | \(-0.575963\pi\) |
−0.959675 | + | 0.281113i | \(0.909297\pi\) | |||||||
\(200\) | 1.04010 | + | 2.85766i | 0.0735464 | + | 0.202067i | ||||
\(201\) | −15.4245 | + | 8.79742i | −1.08796 | + | 0.620522i | ||||
\(202\) | 8.72737 | − | 23.9782i | 0.614055 | − | 1.68710i | ||||
\(203\) | −8.86996 | − | 10.6604i | −0.622549 | − | 0.748215i | ||||
\(204\) | −1.13202 | − | 0.661543i | −0.0792575 | − | 0.0463173i | ||||
\(205\) | −1.99676 | − | 1.67548i | −0.139460 | − | 0.117021i | ||||
\(206\) | 14.3372 | − | 24.8327i | 0.998919 | − | 1.73018i | ||||
\(207\) | −6.82685 | + | 7.96413i | −0.474499 | + | 0.553546i | ||||
\(208\) | 15.8404 | − | 9.14547i | 1.09834 | − | 0.634124i | ||||
\(209\) | −9.71752 | − | 8.15397i | −0.672175 | − | 0.564022i | ||||
\(210\) | −1.29336 | − | 7.76177i | −0.0892504 | − | 0.535613i | ||||
\(211\) | −0.926175 | − | 5.25260i | −0.0637605 | − | 0.361604i | −0.999949 | − | 0.0101053i | \(-0.996783\pi\) |
0.936188 | − | 0.351499i | \(-0.114328\pi\) | |||||||
\(212\) | −16.1047 | + | 2.83969i | −1.10607 | + | 0.195030i | ||||
\(213\) | −3.35467 | − | 2.84512i | −0.229858 | − | 0.194945i | ||||
\(214\) | 21.5919 | + | 18.1177i | 1.47599 | + | 1.23850i | ||||
\(215\) | 4.01612 | − | 6.95612i | 0.273897 | − | 0.474403i | ||||
\(216\) | 1.83602 | + | 3.29932i | 0.124925 | + | 0.224490i | ||||
\(217\) | −0.0765688 | + | 18.4316i | −0.00519783 | + | 1.25122i | ||||
\(218\) | −1.92996 | − | 5.30253i | −0.130713 | − | 0.359132i | ||||
\(219\) | −13.6490 | + | 4.88663i | −0.922314 | + | 0.330208i | ||||
\(220\) | −1.74636 | + | 4.79810i | −0.117740 | + | 0.323488i | ||||
\(221\) | −1.19113 | − | 1.41954i | −0.0801242 | − | 0.0954883i | ||||
\(222\) | 5.46888 | + | 31.9996i | 0.367047 | + | 2.14767i | ||||
\(223\) | 5.44697 | − | 6.49144i | 0.364756 | − | 0.434699i | −0.552185 | − | 0.833721i | \(-0.686206\pi\) |
0.916941 | + | 0.399022i | \(0.130650\pi\) | |||||||
\(224\) | −16.7565 | − | 9.76742i | −1.11959 | − | 0.652613i | ||||
\(225\) | 12.5545 | + | 0.132166i | 0.836964 | + | 0.00881104i | ||||
\(226\) | 23.1783 | 1.54180 | ||||||||
\(227\) | −21.1352 | + | 7.69258i | −1.40279 | + | 0.510575i | −0.929006 | − | 0.370065i | \(-0.879335\pi\) |
−0.473787 | + | 0.880640i | \(0.657113\pi\) | |||||||
\(228\) | 5.03820 | + | 8.83346i | 0.333663 | + | 0.585010i | ||||
\(229\) | 0.509720 | + | 0.607461i | 0.0336833 | + | 0.0401421i | 0.782623 | − | 0.622496i | \(-0.213881\pi\) |
−0.748940 | + | 0.662638i | \(0.769437\pi\) | |||||||
\(230\) | −5.64189 | − | 2.05348i | −0.372015 | − | 0.135403i | ||||
\(231\) | 8.14017 | − | 13.7975i | 0.535584 | − | 0.907806i | ||||
\(232\) | −0.661391 | + | 3.75093i | −0.0434224 | + | 0.246261i | ||||
\(233\) | − | 8.67731i | − | 0.568470i | −0.958755 | − | 0.284235i | \(-0.908260\pi\) | ||
0.958755 | − | 0.284235i | \(-0.0917395\pi\) | |||||||
\(234\) | −3.69009 | − | 22.2976i | −0.241229 | − | 1.45764i | ||||
\(235\) | 3.01181 | 0.196469 | ||||||||
\(236\) | −4.92820 | + | 1.79372i | −0.320798 | + | 0.116761i | ||||
\(237\) | 16.1331 | − | 2.75723i | 1.04796 | − | 0.179101i | ||||
\(238\) | −0.814477 | + | 2.20916i | −0.0527947 | + | 0.143199i | ||||
\(239\) | 14.4054 | + | 17.1677i | 0.931810 | + | 1.11049i | 0.993663 | + | 0.112403i | \(0.0358546\pi\) |
−0.0618527 | + | 0.998085i | \(0.519701\pi\) | |||||||
\(240\) | −4.67054 | + | 5.50701i | −0.301482 | + | 0.355476i | ||||
\(241\) | 6.75864 | − | 8.05464i | 0.435362 | − | 0.518845i | −0.503099 | − | 0.864229i | \(-0.667807\pi\) |
0.938461 | + | 0.345384i | \(0.112251\pi\) | |||||||
\(242\) | −2.01061 | + | 1.16082i | −0.129247 | + | 0.0746206i | ||||
\(243\) | 15.4175 | − | 2.30200i | 0.989036 | − | 0.147673i | ||||
\(244\) | 0.0988758i | 0.00632987i | ||||||||
\(245\) | −5.95588 | + | 2.11189i | −0.380507 | + | 0.134924i | ||||
\(246\) | −1.70113 | + | 9.35927i | −0.108460 | + | 0.596725i | ||||
\(247\) | 2.49573 | + | 14.1540i | 0.158800 | + | 0.900598i | ||||
\(248\) | 3.87789 | − | 3.25394i | 0.246246 | − | 0.206625i | ||||
\(249\) | −12.4979 | − | 15.0546i | −0.792022 | − | 0.954049i | ||||
\(250\) | 5.39426 | + | 14.8206i | 0.341163 | + | 0.937337i | ||||
\(251\) | −4.71175 | + | 8.16098i | −0.297403 | + | 0.515117i | −0.975541 | − | 0.219818i | \(-0.929454\pi\) |
0.678138 | + | 0.734934i | \(0.262787\pi\) | |||||||
\(252\) | −9.95789 | + | 8.10955i | −0.627288 | + | 0.510853i | ||||
\(253\) | −6.11162 | − | 10.5856i | −0.384234 | − | 0.665514i | ||||
\(254\) | −10.0944 | + | 12.0301i | −0.633381 | + | 0.754835i | ||||
\(255\) | 0.631610 | + | 0.369107i | 0.0395530 | + | 0.0231144i | ||||
\(256\) | 3.52000 | + | 19.9629i | 0.220000 | + | 1.24768i | ||||
\(257\) | 9.03217 | − | 7.57889i | 0.563411 | − | 0.472758i | −0.316041 | − | 0.948746i | \(-0.602354\pi\) |
0.879452 | + | 0.475987i | \(0.157909\pi\) | |||||||
\(258\) | −29.3129 | − | 0.154290i | −1.82494 | − | 0.00960565i | ||||
\(259\) | 24.5352 | − | 8.81483i | 1.52454 | − | 0.547727i | ||||
\(260\) | 5.01003 | − | 2.89254i | 0.310709 | − | 0.179388i | ||||
\(261\) | 13.5346 | + | 8.00533i | 0.837769 | + | 0.495517i | ||||
\(262\) | 39.4587i | 2.43777i | ||||||||
\(263\) | −4.57306 | − | 0.806354i | −0.281987 | − | 0.0497219i | 0.0308658 | − | 0.999524i | \(-0.490174\pi\) |
−0.312853 | + | 0.949802i | \(0.601285\pi\) | |||||||
\(264\) | −4.33689 | + | 0.741196i | −0.266917 | + | 0.0456174i | ||||
\(265\) | 8.98556 | − | 1.58440i | 0.551978 | − | 0.0973287i | ||||
\(266\) | 14.0378 | − | 11.6801i | 0.860713 | − | 0.716152i | ||||
\(267\) | 3.40278 | − | 4.01220i | 0.208247 | − | 0.245542i | ||||
\(268\) | −2.88038 | + | 16.3355i | −0.175947 | + | 0.997847i | ||||
\(269\) | 13.5452 | + | 23.4609i | 0.825864 | + | 1.43044i | 0.901257 | + | 0.433284i | \(0.142645\pi\) |
−0.0753937 | + | 0.997154i | \(0.524021\pi\) | |||||||
\(270\) | 4.33862 | + | 7.79648i | 0.264040 | + | 0.474479i | ||||
\(271\) | −3.93162 | − | 2.26992i | −0.238829 | − | 0.137888i | 0.375810 | − | 0.926697i | \(-0.377365\pi\) |
−0.614638 | + | 0.788809i | \(0.710698\pi\) | |||||||
\(272\) | 2.03035 | − | 0.738985i | 0.123108 | − | 0.0448076i | ||||
\(273\) | −17.1133 | + | 6.04684i | −1.03575 | + | 0.365971i | ||||
\(274\) | 17.7796 | − | 14.9189i | 1.07411 | − | 0.901282i | ||||
\(275\) | −5.00378 | + | 13.7478i | −0.301739 | + | 0.829022i | ||||
\(276\) | 1.65073 | + | 9.65877i | 0.0993623 | + | 0.581389i | ||||
\(277\) | 1.38431 | − | 7.85082i | 0.0831752 | − | 0.471710i | −0.914560 | − | 0.404450i | \(-0.867463\pi\) |
0.997735 | − | 0.0672603i | \(-0.0214258\pi\) | |||||||
\(278\) | −17.1068 | − | 29.6298i | −1.02600 | − | 1.77708i | ||||
\(279\) | −6.94096 | − | 19.7134i | −0.415545 | − | 1.18021i | ||||
\(280\) | 1.49942 | + | 0.874014i | 0.0896073 | + | 0.0522323i | ||||
\(281\) | 6.05459 | + | 1.06759i | 0.361187 | + | 0.0636870i | 0.351297 | − | 0.936264i | \(-0.385741\pi\) |
0.00988990 | + | 0.999951i | \(0.496852\pi\) | |||||||
\(282\) | −5.44556 | − | 9.54769i | −0.324278 | − | 0.568557i | ||||
\(283\) | −11.2989 | + | 1.99229i | −0.671647 | + | 0.118430i | −0.499064 | − | 0.866565i | \(-0.666323\pi\) |
−0.172584 | + | 0.984995i | \(0.555212\pi\) | |||||||
\(284\) | −4.04657 | + | 0.713519i | −0.240119 | + | 0.0423395i | ||||
\(285\) | −2.81105 | − | 4.92861i | −0.166512 | − | 0.291946i | ||||
\(286\) | 25.9359 | + | 4.57321i | 1.53362 | + | 0.270419i | ||||
\(287\) | 7.63926 | + | 0.0317351i | 0.450931 | + | 0.00187327i | ||||
\(288\) | 21.6169 | + | 4.04672i | 1.27379 | + | 0.238455i | ||||
\(289\) | 8.39055 | + | 14.5329i | 0.493562 | + | 0.854874i | ||||
\(290\) | −1.56291 | + | 8.86368i | −0.0917770 | + | 0.520493i | ||||
\(291\) | 1.49011 | + | 8.71896i | 0.0873519 | + | 0.511114i | ||||
\(292\) | −4.63183 | + | 12.7259i | −0.271058 | + | 0.744725i | ||||
\(293\) | −0.840836 | + | 0.705545i | −0.0491222 | + | 0.0412184i | −0.667018 | − | 0.745041i | \(-0.732430\pi\) |
0.617896 | + | 0.786260i | \(0.287985\pi\) | |||||||
\(294\) | 17.4635 | + | 15.0622i | 1.01849 | + | 0.878444i | ||||
\(295\) | 2.74968 | − | 1.00080i | 0.160092 | − | 0.0582689i | ||||
\(296\) | −6.20093 | − | 3.58011i | −0.360422 | − | 0.208090i | ||||
\(297\) | −3.43633 | + | 17.8367i | −0.199396 | + | 1.03499i | ||||
\(298\) | −10.7117 | − | 18.5532i | −0.620511 | − | 1.07476i | ||||
\(299\) | −2.40482 | + | 13.6384i | −0.139074 | + | 0.788730i | ||||
\(300\) | 7.58596 | − | 8.94456i | 0.437976 | − | 0.516414i | ||||
\(301\) | 3.99146 | + | 23.1999i | 0.230064 | + | 1.33722i | ||||
\(302\) | 11.4058 | − | 2.01115i | 0.656331 | − | 0.115729i | ||||
\(303\) | 22.9038 | − | 3.91437i | 1.31579 | − | 0.224875i | ||||
\(304\) | −16.5033 | − | 2.90998i | −0.946530 | − | 0.166899i | ||||
\(305\) | − | 0.0551675i | − | 0.00315888i | ||||||
\(306\) | 0.0281042 | − | 2.66962i | 0.00160661 | − | 0.152612i | ||||
\(307\) | −5.93612 | + | 3.42722i | −0.338792 | + | 0.195602i | −0.659738 | − | 0.751496i | \(-0.729333\pi\) |
0.320945 | + | 0.947098i | \(0.395999\pi\) | |||||||
\(308\) | −5.05975 | − | 14.0833i | −0.288306 | − | 0.802472i | ||||
\(309\) | 26.1105 | + | 0.137434i | 1.48538 | + | 0.00781835i | ||||
\(310\) | 9.16368 | − | 7.68924i | 0.520462 | − | 0.436720i | ||||
\(311\) | 3.87680 | + | 21.9864i | 0.219833 | + | 1.24674i | 0.872320 | + | 0.488935i | \(0.162615\pi\) |
−0.652487 | + | 0.757800i | \(0.726274\pi\) | |||||||
\(312\) | 4.30387 | + | 2.51514i | 0.243659 | + | 0.142392i | ||||
\(313\) | 0.650065 | − | 0.774717i | 0.0367439 | − | 0.0437896i | −0.747360 | − | 0.664420i | \(-0.768679\pi\) |
0.784103 | + | 0.620630i | \(0.213123\pi\) | |||||||
\(314\) | 4.54635 | + | 7.87450i | 0.256565 | + | 0.444384i | ||||
\(315\) | 5.55598 | − | 4.52470i | 0.313044 | − | 0.254938i | ||||
\(316\) | 7.64455 | − | 13.2408i | 0.430040 | − | 0.744850i | ||||
\(317\) | −8.50091 | − | 23.3561i | −0.477459 | − | 1.31181i | −0.911643 | − | 0.410983i | \(-0.865186\pi\) |
0.434184 | − | 0.900824i | \(-0.357037\pi\) | |||||||
\(318\) | −21.2692 | − | 25.6203i | −1.19271 | − | 1.43671i | ||||
\(319\) | −14.0367 | + | 11.7782i | −0.785902 | + | 0.659450i | ||||
\(320\) | 0.737976 | + | 4.18527i | 0.0412541 | + | 0.233964i | ||||
\(321\) | −4.58989 | + | 25.2526i | −0.256183 | + | 1.40946i | ||||
\(322\) | 16.5600 | − | 5.94956i | 0.922854 | − | 0.331556i | ||||
\(323\) | 1.69776i | 0.0944659i | ||||||||
\(324\) | 7.54477 | − | 12.4548i | 0.419154 | − | 0.691933i | ||||
\(325\) | 14.3550 | − | 8.28786i | 0.796272 | − | 0.459728i | ||||
\(326\) | 9.73324 | − | 11.5996i | 0.539074 | − | 0.642444i | ||||
\(327\) | 3.32355 | − | 3.91877i | 0.183793 | − | 0.216709i | ||||
\(328\) | −1.34864 | − | 1.60725i | −0.0744664 | − | 0.0887457i | ||||
\(329\) | −6.78536 | + | 5.64573i | −0.374089 | + | 0.311259i | ||||
\(330\) | −10.2483 | + | 1.75149i | −0.564152 | + | 0.0964163i | ||||
\(331\) | −24.9441 | + | 9.07889i | −1.37105 | + | 0.499021i | −0.919453 | − | 0.393201i | \(-0.871368\pi\) |
−0.451597 | + | 0.892222i | \(0.649145\pi\) | |||||||
\(332\) | −18.2776 | −1.00312 | ||||||||
\(333\) | −22.8441 | + | 18.7622i | −1.25185 | + | 1.02816i | ||||
\(334\) | − | 42.7411i | − | 2.33869i | ||||||
\(335\) | 1.60710 | − | 9.11434i | 0.0878054 | − | 0.497969i | ||||
\(336\) | 0.199302 | − | 21.1619i | 0.0108728 | − | 1.15448i | ||||
\(337\) | 23.2967 | + | 8.47930i | 1.26905 | + | 0.461897i | 0.886796 | − | 0.462161i | \(-0.152926\pi\) |
0.382254 | + | 0.924057i | \(0.375148\pi\) | |||||||
\(338\) | −3.28543 | − | 3.91542i | −0.178704 | − | 0.212971i | ||||
\(339\) | 10.4567 | + | 18.3337i | 0.567931 | + | 0.995752i | ||||
\(340\) | 0.642160 | − | 0.233727i | 0.0348260 | − | 0.0126756i | ||||
\(341\) | 24.3536 | 1.31882 | ||||||||
\(342\) | −10.5415 | + | 17.8225i | −0.570020 | + | 0.963731i | ||||
\(343\) | 9.45929 | − | 15.9224i | 0.510754 | − | 0.859727i | ||||
\(344\) | 4.15587 | − | 4.95278i | 0.224070 | − | 0.267036i | ||||
\(345\) | −0.921021 | − | 5.38909i | −0.0495861 | − | 0.290139i | ||||
\(346\) | 9.46917 | + | 11.2849i | 0.509066 | + | 0.606681i | ||||
\(347\) | −6.40998 | + | 17.6113i | −0.344106 | + | 0.945423i | 0.640084 | + | 0.768305i | \(0.278900\pi\) |
−0.984190 | + | 0.177118i | \(0.943323\pi\) | |||||||
\(348\) | 13.8295 | − | 4.95126i | 0.741341 | − | 0.265416i | ||||
\(349\) | −8.31455 | − | 22.8440i | −0.445067 | − | 1.22281i | −0.936119 | − | 0.351682i | \(-0.885610\pi\) |
0.491052 | − | 0.871130i | \(-0.336613\pi\) | |||||||
\(350\) | −18.1956 | − | 10.6063i | −0.972596 | − | 0.566929i | ||||
\(351\) | 15.9724 | − | 12.9782i | 0.852545 | − | 0.692727i | ||||
\(352\) | −12.8135 | + | 22.1936i | −0.682960 | + | 1.18292i | ||||
\(353\) | 17.5265 | + | 14.7065i | 0.932841 | + | 0.782747i | 0.976325 | − | 0.216307i | \(-0.0694013\pi\) |
−0.0434839 | + | 0.999054i | \(0.513846\pi\) | |||||||
\(354\) | −8.14422 | − | 6.90719i | −0.432860 | − | 0.367113i | ||||
\(355\) | 2.25777 | − | 0.398106i | 0.119830 | − | 0.0211293i | ||||
\(356\) | −0.853371 | − | 4.83971i | −0.0452286 | − | 0.256504i | ||||
\(357\) | −2.11487 | + | 0.352405i | −0.111931 | + | 0.0186512i | ||||
\(358\) | 2.72634 | + | 2.28767i | 0.144091 | + | 0.120907i | ||||
\(359\) | 7.23348 | − | 4.17625i | 0.381768 | − | 0.220414i | −0.296819 | − | 0.954934i | \(-0.595926\pi\) |
0.678587 | + | 0.734520i | \(0.262592\pi\) | |||||||
\(360\) | −1.93433 | − | 0.362111i | −0.101948 | − | 0.0190849i | ||||
\(361\) | −2.91612 | + | 5.05087i | −0.153480 | + | 0.265835i | ||||
\(362\) | −30.5857 | − | 25.6644i | −1.60755 | − | 1.34889i | ||||
\(363\) | −1.82527 | − | 1.06667i | −0.0958018 | − | 0.0559856i | ||||
\(364\) | −5.86502 | + | 15.9081i | −0.307411 | + | 0.833810i | ||||
\(365\) | 2.58432 | − | 7.10037i | 0.135270 | − | 0.371650i | ||||
\(366\) | −0.174886 | + | 0.0997466i | −0.00914141 | + | 0.00521384i | ||||
\(367\) | 3.33853 | + | 9.17253i | 0.174270 | + | 0.478802i | 0.995820 | − | 0.0913333i | \(-0.0291129\pi\) |
−0.821551 | + | 0.570136i | \(0.806891\pi\) | |||||||
\(368\) | −13.9841 | − | 8.07374i | −0.728973 | − | 0.420873i | ||||
\(369\) | −8.17053 | + | 2.87679i | −0.425341 | + | 0.149760i | ||||
\(370\) | −14.6532 | − | 8.46001i | −0.761782 | − | 0.439815i | ||||
\(371\) | −17.2737 | + | 20.4132i | −0.896806 | + | 1.05980i | ||||
\(372\) | −18.3104 | − | 6.77379i | −0.949349 | − | 0.351204i | ||||
\(373\) | −9.95905 | − | 3.62480i | −0.515660 | − | 0.187685i | 0.0710640 | − | 0.997472i | \(-0.477361\pi\) |
−0.586724 | + | 0.809787i | \(0.699583\pi\) | |||||||
\(374\) | 2.92338 | + | 1.06402i | 0.151164 | + | 0.0550193i | ||||
\(375\) | −9.28934 | + | 10.9530i | −0.479700 | + | 0.565611i | ||||
\(376\) | 2.38747 | + | 0.420975i | 0.123124 | + | 0.0217102i | ||||
\(377\) | 20.7604 | 1.06922 | ||||||||
\(378\) | −24.3893 | − | 9.43194i | −1.25445 | − | 0.485127i | ||||
\(379\) | −6.26462 | −0.321792 | −0.160896 | − | 0.986971i | \(-0.551438\pi\) | ||||
−0.160896 | + | 0.986971i | \(0.551438\pi\) | |||||||
\(380\) | −5.21969 | − | 0.920373i | −0.267765 | − | 0.0472141i | ||||
\(381\) | −14.0697 | − | 2.55730i | −0.720812 | − | 0.131014i | ||||
\(382\) | 18.3217 | + | 6.66856i | 0.937420 | + | 0.341193i | ||||
\(383\) | 7.86054 | + | 2.86100i | 0.401655 | + | 0.146190i | 0.534945 | − | 0.844887i | \(-0.320332\pi\) |
−0.133291 | + | 0.991077i | \(0.542554\pi\) | |||||||
\(384\) | −7.60572 | + | 6.31404i | −0.388128 | + | 0.322212i | ||||
\(385\) | 2.82308 | + | 7.85776i | 0.143877 | + | 0.400468i | ||||
\(386\) | 16.6088 | + | 9.58909i | 0.845365 | + | 0.488072i | ||||
\(387\) | −13.1023 | − | 23.2557i | −0.666025 | − | 1.18216i | ||||
\(388\) | 7.15580 | + | 4.13140i | 0.363281 | + | 0.209740i | ||||
\(389\) | −6.64622 | − | 18.2603i | −0.336977 | − | 0.925835i | −0.986247 | − | 0.165278i | \(-0.947148\pi\) |
0.649270 | − | 0.760558i | \(-0.275074\pi\) | |||||||
\(390\) | 10.1703 | + | 5.94342i | 0.514993 | + | 0.300957i | ||||
\(391\) | −0.559516 | + | 1.53726i | −0.0282960 | + | 0.0777425i | ||||
\(392\) | −5.01642 | + | 0.841618i | −0.253368 | + | 0.0425081i | ||||
\(393\) | −31.2114 | + | 17.8015i | −1.57441 | + | 0.897967i | ||||
\(394\) | −38.7351 | − | 32.5026i | −1.95145 | − | 1.63746i | ||||
\(395\) | −4.26526 | + | 7.38765i | −0.214609 | + | 0.371713i | ||||
\(396\) | 10.7696 | + | 13.1126i | 0.541192 | + | 0.658932i | ||||
\(397\) | −24.5677 | + | 14.1842i | −1.23302 | + | 0.711882i | −0.967658 | − | 0.252267i | \(-0.918824\pi\) |
−0.265359 | + | 0.964150i | \(0.585490\pi\) | |||||||
\(398\) | −28.3881 | − | 23.8204i | −1.42297 | − | 1.19401i | ||||
\(399\) | 15.5719 | + | 5.83435i | 0.779569 | + | 0.292083i | ||||
\(400\) | 3.35610 | + | 19.0334i | 0.167805 | + | 0.951669i | ||||
\(401\) | −19.2271 | + | 3.39026i | −0.960157 | + | 0.169302i | −0.631696 | − | 0.775216i | \(-0.717641\pi\) |
−0.328461 | + | 0.944518i | \(0.606530\pi\) | |||||||
\(402\) | −31.7989 | + | 11.3847i | −1.58599 | + | 0.567816i | ||||
\(403\) | −21.1370 | − | 17.7361i | −1.05291 | − | 0.883496i | ||||
\(404\) | 10.8528 | − | 18.7976i | 0.539946 | − | 0.935213i | ||||
\(405\) | −4.20959 | + | 6.94913i | −0.209176 | + | 0.345305i | ||||
\(406\) | −13.0941 | − | 22.8988i | −0.649850 | − | 1.13645i | ||||
\(407\) | −11.7815 | − | 32.3694i | −0.583986 | − | 1.60449i | ||||
\(408\) | 0.449087 | + | 0.380875i | 0.0222331 | + | 0.0188561i | ||||
\(409\) | 11.9596 | − | 32.8586i | 0.591362 | − | 1.62475i | −0.176618 | − | 0.984279i | \(-0.556516\pi\) |
0.767980 | − | 0.640474i | \(-0.221262\pi\) | |||||||
\(410\) | −3.18693 | − | 3.79803i | −0.157391 | − | 0.187571i | ||||
\(411\) | 19.8218 | + | 7.33293i | 0.977738 | + | 0.361707i | ||||
\(412\) | 15.6784 | − | 18.6847i | 0.772418 | − | 0.920531i | ||||
\(413\) | −4.31876 | + | 7.40907i | −0.212512 | + | 0.364576i | ||||
\(414\) | −15.4186 | + | 12.6635i | −0.757782 | + | 0.622379i | ||||
\(415\) | 10.1980 | 0.500598 | ||||||||
\(416\) | 27.2840 | − | 9.93058i | 1.33771 | − | 0.486887i | ||||
\(417\) | 15.7193 | − | 26.8986i | 0.769775 | − | 1.31723i | ||||
\(418\) | −15.5096 | − | 18.4837i | −0.758602 | − | 0.904066i | ||||
\(419\) | 38.1160 | + | 13.8731i | 1.86209 | + | 0.677745i | 0.977340 | + | 0.211674i | \(0.0678916\pi\) |
0.884748 | + | 0.466070i | \(0.154331\pi\) | |||||||
\(420\) | 0.0630355 | − | 6.69311i | 0.00307582 | − | 0.326590i | ||||
\(421\) | 2.74861 | − | 15.5881i | 0.133959 | − | 0.759718i | −0.841620 | − | 0.540070i | \(-0.818398\pi\) |
0.975579 | − | 0.219649i | \(-0.0704911\pi\) | |||||||
\(422\) | − | 10.1451i | − | 0.493855i | ||||||
\(423\) | 5.09539 | − | 8.61475i | 0.247746 | − | 0.418864i | ||||
\(424\) | 7.34433 | 0.356672 | ||||||||
\(425\) | 1.83995 | − | 0.669688i | 0.0892508 | − | 0.0324846i | ||||
\(426\) | −5.34423 | − | 6.43752i | −0.258929 | − | 0.311899i | ||||
\(427\) | 0.103413 | + | 0.124288i | 0.00500451 | + | 0.00601471i | ||||
\(428\) | 15.4114 | + | 18.3666i | 0.744939 | + | 0.887784i | ||||
\(429\) | 8.08347 | + | 22.5782i | 0.390273 | + | 1.09009i | ||||
\(430\) | 9.82057 | − | 11.7037i | 0.473590 | − | 0.564403i | ||||
\(431\) | −6.88208 | + | 3.97337i | −0.331498 | + | 0.191391i | −0.656506 | − | 0.754321i | \(-0.727966\pi\) |
0.325008 | + | 0.945711i | \(0.394633\pi\) | |||||||
\(432\) | 7.85017 | + | 22.6760i | 0.377692 | + | 1.09100i | ||||
\(433\) | 16.4757i | 0.791770i | 0.918300 | + | 0.395885i | \(0.129562\pi\) | ||||
−0.918300 | + | 0.395885i | \(0.870438\pi\) | |||||||
\(434\) | −6.23131 | + | 34.5008i | −0.299112 | + | 1.65609i | ||||
\(435\) | −7.71616 | + | 2.76255i | −0.369962 | + | 0.132454i | ||||
\(436\) | −0.833501 | − | 4.72702i | −0.0399175 | − | 0.226383i | ||||
\(437\) | 9.71965 | − | 8.15575i | 0.464954 | − | 0.390143i | ||||
\(438\) | −27.1814 | + | 4.64542i | −1.29878 | + | 0.221967i | ||||
\(439\) | 2.08683 | + | 5.73351i | 0.0995988 | + | 0.273646i | 0.979478 | − | 0.201552i | \(-0.0645986\pi\) |
−0.879879 | + | 0.475198i | \(0.842376\pi\) | |||||||
\(440\) | 1.14658 | − | 1.98594i | 0.0546612 | − | 0.0946759i | ||||
\(441\) | −4.03548 | + | 20.6086i | −0.192166 | + | 0.981363i | ||||
\(442\) | −1.76236 | − | 3.05250i | −0.0838270 | − | 0.145193i | ||||
\(443\) | 12.7961 | − | 15.2497i | 0.607959 | − | 0.724537i | −0.370991 | − | 0.928636i | \(-0.620982\pi\) |
0.978950 | + | 0.204099i | \(0.0654265\pi\) | |||||||
\(444\) | −0.145347 | + | 27.6140i | −0.00689789 | + | 1.31050i | ||||
\(445\) | 0.476137 | + | 2.70031i | 0.0225710 | + | 0.128007i | ||||
\(446\) | 12.3474 | − | 10.3607i | 0.584664 | − | 0.490592i | ||||
\(447\) | 9.84285 | − | 16.8430i | 0.465551 | − | 0.796645i | ||||
\(448\) | −9.50800 | − | 8.04570i | −0.449211 | − | 0.380124i | ||||
\(449\) | −0.412263 | + | 0.238020i | −0.0194559 | + | 0.0112329i | −0.509696 | − | 0.860354i | \(-0.670242\pi\) |
0.490241 | + | 0.871587i | \(0.336909\pi\) | |||||||
\(450\) | 23.4734 | + | 4.39426i | 1.10654 | + | 0.207147i | ||||
\(451\) | − | 10.0937i | − | 0.475295i | ||||||
\(452\) | 19.4165 | + | 3.42366i | 0.913277 | + | 0.161035i | ||||
\(453\) | 6.73645 | + | 8.11455i | 0.316506 | + | 0.381255i | ||||
\(454\) | −42.1313 | + | 7.42888i | −1.97732 | + | 0.348655i | ||||
\(455\) | 3.27238 | − | 8.87588i | 0.153411 | − | 0.416108i | ||||
\(456\) | −1.53943 | − | 4.29983i | −0.0720904 | − | 0.201358i | ||||
\(457\) | 2.00670 | − | 11.3806i | 0.0938695 | − | 0.532360i | −0.901218 | − | 0.433365i | \(-0.857326\pi\) |
0.995088 | − | 0.0989952i | \(-0.0315628\pi\) | |||||||
\(458\) | 0.754166 | + | 1.30625i | 0.0352399 | + | 0.0610373i | ||||
\(459\) | 2.12432 | − | 1.18215i | 0.0991548 | − | 0.0551782i | ||||
\(460\) | −4.42292 | − | 2.55357i | −0.206220 | − | 0.119061i | ||||
\(461\) | 19.0273 | − | 6.92536i | 0.886189 | − | 0.322546i | 0.141484 | − | 0.989941i | \(-0.454813\pi\) |
0.744705 | + | 0.667394i | \(0.232590\pi\) | |||||||
\(462\) | 19.8054 | − | 23.1567i | 0.921431 | − | 1.07735i | ||||
\(463\) | −4.74389 | + | 3.98059i | −0.220467 | + | 0.184994i | −0.746331 | − | 0.665575i | \(-0.768186\pi\) |
0.525864 | + | 0.850569i | \(0.323742\pi\) | |||||||
\(464\) | −8.27904 | + | 22.7465i | −0.384345 | + | 1.05598i | ||||
\(465\) | 10.2162 | + | 3.77942i | 0.473766 | + | 0.175266i | ||||
\(466\) | 2.86608 | − | 16.2543i | 0.132769 | − | 0.752968i | ||||
\(467\) | 1.90348 | + | 3.29692i | 0.0880826 | + | 0.152563i | 0.906701 | − | 0.421775i | \(-0.138593\pi\) |
−0.818618 | + | 0.574338i | \(0.805259\pi\) | |||||||
\(468\) | 0.202377 | − | 19.2239i | 0.00935489 | − | 0.888624i | ||||
\(469\) | 13.4644 | + | 23.5464i | 0.621728 | + | 1.08727i | ||||
\(470\) | 5.64173 | + | 0.994790i | 0.260234 | + | 0.0458862i | ||||
\(471\) | −4.17759 | + | 7.14863i | −0.192493 | + | 0.329392i | ||||
\(472\) | 2.31956 | − | 0.409001i | 0.106766 | − | 0.0188258i | ||||
\(473\) | 30.6315 | − | 5.40116i | 1.40844 | − | 0.248346i | ||||
\(474\) | 31.1313 | + | 0.163861i | 1.42991 | + | 0.00752639i | ||||
\(475\) | −14.9557 | − | 2.63710i | −0.686217 | − | 0.120998i | ||||
\(476\) | −1.00861 | + | 1.73032i | −0.0462293 | + | 0.0793089i | ||||
\(477\) | 10.6699 | − | 28.3821i | 0.488541 | − | 1.29952i | ||||
\(478\) | 21.3138 | + | 36.9166i | 0.974872 | + | 1.68853i | ||||
\(479\) | −5.21941 | + | 29.6008i | −0.238481 | + | 1.35249i | 0.596676 | + | 0.802482i | \(0.296488\pi\) |
−0.835157 | + | 0.550011i | \(0.814623\pi\) | |||||||
\(480\) | −8.81940 | + | 7.32160i | −0.402549 | + | 0.334184i | ||||
\(481\) | −13.3483 | + | 36.6742i | −0.608630 | + | 1.67220i | ||||
\(482\) | 15.3207 | − | 12.8556i | 0.697839 | − | 0.585556i | ||||
\(483\) | 12.1770 | + | 10.4147i | 0.554072 | + | 0.473884i | ||||
\(484\) | −1.85576 | + | 0.675440i | −0.0843526 | + | 0.0307018i | ||||
\(485\) | −3.99256 | − | 2.30511i | −0.181293 | − | 0.104670i | ||||
\(486\) | 29.6405 | + | 0.780244i | 1.34452 | + | 0.0353926i | ||||
\(487\) | −18.9944 | − | 32.8993i | −0.860720 | − | 1.49081i | −0.871235 | − | 0.490866i | \(-0.836680\pi\) |
0.0105150 | − | 0.999945i | \(-0.496653\pi\) | |||||||
\(488\) | 0.00771102 | − | 0.0437314i | 0.000349062 | − | 0.00197963i | ||||
\(489\) | 13.5663 | + | 2.46579i | 0.613487 | + | 0.111507i | ||||
\(490\) | −11.8541 | + | 1.98879i | −0.535514 | + | 0.0898445i | ||||
\(491\) | −31.0131 | + | 5.46844i | −1.39960 | + | 0.246787i | −0.821979 | − | 0.569517i | \(-0.807130\pi\) |
−0.577622 | + | 0.816305i | \(0.696019\pi\) | |||||||
\(492\) | −2.80750 | + | 7.58902i | −0.126572 | + | 0.342140i | ||||
\(493\) | 2.41510 | + | 0.425848i | 0.108771 | + | 0.0191792i | ||||
\(494\) | 27.3376i | 1.22998i | ||||||||
\(495\) | −6.00887 | − | 7.31614i | −0.270079 | − | 0.328836i | ||||
\(496\) | 27.8620 | − | 16.0861i | 1.25104 | − | 0.722288i | ||||
\(497\) | −4.34031 | + | 5.12916i | −0.194689 | + | 0.230074i | ||||
\(498\) | −18.4386 | − | 32.3284i | −0.826253 | − | 1.44867i | ||||
\(499\) | −14.4091 | + | 12.0907i | −0.645039 | + | 0.541252i | −0.905561 | − | 0.424216i | \(-0.860550\pi\) |
0.260522 | + | 0.965468i | \(0.416105\pi\) | |||||||
\(500\) | 2.32964 | + | 13.2121i | 0.104185 | + | 0.590861i | ||||
\(501\) | 33.8077 | − | 19.2824i | 1.51042 | − | 0.861472i | ||||
\(502\) | −11.5216 | + | 13.7309i | −0.514233 | + | 0.612839i | ||||
\(503\) | 3.04934 | + | 5.28161i | 0.135963 | + | 0.235495i | 0.925965 | − | 0.377609i | \(-0.123254\pi\) |
−0.790002 | + | 0.613105i | \(0.789920\pi\) | |||||||
\(504\) | 5.03667 | − | 2.81015i | 0.224351 | − | 0.125174i | ||||
\(505\) | −6.05528 | + | 10.4881i | −0.269456 | + | 0.466712i | ||||
\(506\) | −7.95190 | − | 21.8477i | −0.353505 | − | 0.971247i | ||||
\(507\) | 1.61486 | − | 4.36515i | 0.0717182 | − | 0.193863i | ||||
\(508\) | −10.2331 | + | 8.58660i | −0.454021 | + | 0.380969i | ||||
\(509\) | 7.51248 | + | 42.6054i | 0.332985 | + | 1.88845i | 0.446288 | + | 0.894889i | \(0.352746\pi\) |
−0.113303 | + | 0.993560i | \(0.536143\pi\) | |||||||
\(510\) | 1.06122 | + | 0.900029i | 0.0469915 | + | 0.0398539i | ||||
\(511\) | 7.48757 | + | 20.8409i | 0.331231 | + | 0.921947i | ||||
\(512\) | 27.1429i | 1.19956i | ||||||||
\(513\) | −18.8531 | − | 0.297725i | −0.832386 | − | 0.0131449i | ||||
\(514\) | 19.4223 | − | 11.2135i | 0.856683 | − | 0.494606i | ||||
\(515\) | −8.74771 | + | 10.4251i | −0.385470 | + | 0.459385i | ||||
\(516\) | −24.5327 | − | 4.45905i | −1.07999 | − | 0.196299i | ||||
\(517\) | 7.49680 | + | 8.93434i | 0.329709 | + | 0.392932i | ||||
\(518\) | 48.8709 | − | 8.40807i | 2.14726 | − | 0.369430i | ||||
\(519\) | −4.65429 | + | 12.5811i | −0.204301 | + | 0.552250i | ||||
\(520\) | −2.44145 | + | 0.888614i | −0.107065 | + | 0.0389683i | ||||
\(521\) | −20.0431 | −0.878105 | −0.439053 | − | 0.898461i | \(-0.644686\pi\) | ||||
−0.439053 | + | 0.898461i | \(0.644686\pi\) | |||||||
\(522\) | 22.7088 | + | 19.4660i | 0.993939 | + | 0.852003i | ||||
\(523\) | − | 26.6736i | − | 1.16635i | −0.812345 | − | 0.583177i | \(-0.801809\pi\) | ||
0.812345 | − | 0.583177i | \(-0.198191\pi\) | |||||||
\(524\) | −5.82843 | + | 33.0547i | −0.254616 | + | 1.44400i | ||||
\(525\) | 0.180613 | − | 19.1775i | 0.00788258 | − | 0.836973i | ||||
\(526\) | −8.29992 | − | 3.02093i | −0.361894 | − | 0.131719i | ||||
\(527\) | −2.09510 | − | 2.49685i | −0.0912641 | − | 0.108764i | ||||
\(528\) | −27.9617 | − | 0.147178i | −1.21688 | − | 0.00640510i | ||||
\(529\) | −10.1243 | + | 3.68495i | −0.440188 | + | 0.160215i | ||||
\(530\) | 17.3551 | 0.753856 | ||||||||
\(531\) | 1.78930 | − | 9.55811i | 0.0776489 | − | 0.414787i | ||||
\(532\) | 13.4848 | − | 7.71093i | 0.584640 | − | 0.334311i | ||||
\(533\) | −7.35099 | + | 8.76057i | −0.318407 | + | 0.379462i | ||||
\(534\) | 7.69930 | − | 6.39172i | 0.333181 | − | 0.276597i | ||||
\(535\) | −8.59877 | − | 10.2476i | −0.371757 | − | 0.443043i | ||||
\(536\) | 2.54791 | − | 7.00032i | 0.110053 | − | 0.302368i | ||||
\(537\) | −0.579552 | + | 3.18857i | −0.0250095 | + | 0.137597i | ||||
\(538\) | 17.6238 | + | 48.4209i | 0.759815 | + | 2.08757i | ||||
\(539\) | −21.0897 | − | 12.4109i | −0.908399 | − | 0.534576i | ||||
\(540\) | 2.48286 | + | 7.17200i | 0.106845 | + | 0.308634i | ||||
\(541\) | −5.16825 | + | 8.95167i | −0.222200 | + | 0.384862i | −0.955476 | − | 0.295069i | \(-0.904657\pi\) |
0.733275 | + | 0.679932i | \(0.237991\pi\) | |||||||
\(542\) | −6.61497 | − | 5.55061i | −0.284137 | − | 0.238419i | ||||
\(543\) | 6.50175 | − | 35.7712i | 0.279017 | − | 1.53509i | ||||
\(544\) | 3.37771 | − | 0.595582i | 0.144818 | − | 0.0255354i | ||||
\(545\) | 0.465050 | + | 2.63743i | 0.0199206 | + | 0.112975i | ||||
\(546\) | −34.0539 | + | 5.67449i | −1.45737 | + | 0.242846i | ||||
\(547\) | 2.39360 | + | 2.00847i | 0.102343 | + | 0.0858758i | 0.692523 | − | 0.721396i | \(-0.256499\pi\) |
−0.590181 | + | 0.807271i | \(0.700943\pi\) | |||||||
\(548\) | 17.0977 | − | 9.87138i | 0.730379 | − | 0.421684i | ||||
\(549\) | −0.157797 | − | 0.0933325i | −0.00673460 | − | 0.00398333i | ||||
\(550\) | −13.9139 | + | 24.0996i | −0.593291 | + | 1.02761i | ||||
\(551\) | −14.5705 | − | 12.2261i | −0.620724 | − | 0.520849i | ||||
\(552\) | 0.0231632 | − | 4.40067i | 0.000985889 | − | 0.187305i | ||||
\(553\) | −4.23908 | − | 24.6391i | −0.180264 | − | 1.04776i | ||||
\(554\) | 5.18618 | − | 14.2489i | 0.220340 | − | 0.605379i | ||||
\(555\) | 0.0810963 | − | 15.4072i | 0.00344235 | − | 0.653998i | ||||
\(556\) | −9.95382 | − | 27.3479i | −0.422136 | − | 1.15981i | ||||
\(557\) | 12.2609 | + | 7.07881i | 0.519509 | + | 0.299939i | 0.736734 | − | 0.676183i | \(-0.236367\pi\) |
−0.217225 | + | 0.976122i | \(0.569700\pi\) | |||||||
\(558\) | −6.49057 | − | 39.2197i | −0.274768 | − | 1.66030i | ||||
\(559\) | −30.5192 | − | 17.6203i | −1.29083 | − | 0.745259i | ||||
\(560\) | 8.42000 | + | 7.12504i | 0.355810 | + | 0.301088i | ||||
\(561\) | 0.477232 | + | 2.79238i | 0.0201487 | + | 0.117894i | ||||
\(562\) | 10.9888 | + | 3.99961i | 0.463537 | + | 0.168714i | ||||
\(563\) | −21.1089 | − | 7.68303i | −0.889636 | − | 0.323801i | −0.143544 | − | 0.989644i | \(-0.545850\pi\) |
−0.746092 | + | 0.665843i | \(0.768072\pi\) | |||||||
\(564\) | −3.15148 | − | 8.80251i | −0.132701 | − | 0.370652i | ||||
\(565\) | −10.8334 | − | 1.91022i | −0.455765 | − | 0.0803637i | ||||
\(566\) | −21.8231 | −0.917292 | ||||||||
\(567\) | −3.54249 | − | 23.5468i | −0.148770 | − | 0.988872i | ||||
\(568\) | 1.84539 | 0.0774306 | ||||||||
\(569\) | −18.4001 | − | 3.24444i | −0.771373 | − | 0.136014i | −0.225909 | − | 0.974148i | \(-0.572535\pi\) |
−0.545464 | + | 0.838135i | \(0.683646\pi\) | |||||||
\(570\) | −3.63776 | − | 10.1608i | −0.152369 | − | 0.425587i | ||||
\(571\) | 34.2455 | + | 12.4643i | 1.43313 | + | 0.521616i | 0.937827 | − | 0.347104i | \(-0.112835\pi\) |
0.495303 | + | 0.868720i | \(0.335057\pi\) | |||||||
\(572\) | 21.0511 | + | 7.66199i | 0.880192 | + | 0.320364i | ||||
\(573\) | 2.99096 | + | 17.5007i | 0.124949 | + | 0.731104i | ||||
\(574\) | 14.2994 | + | 2.58266i | 0.596845 | + | 0.107798i | ||||
\(575\) | −12.6728 | − | 7.31663i | −0.528492 | − | 0.305125i | ||||
\(576\) | 13.2197 | + | 4.96979i | 0.550821 | + | 0.207075i | ||||
\(577\) | −25.0637 | − | 14.4705i | −1.04341 | − | 0.602416i | −0.122616 | − | 0.992454i | \(-0.539128\pi\) |
−0.920799 | + | 0.390039i | \(0.872462\pi\) | |||||||
\(578\) | 10.9170 | + | 29.9943i | 0.454089 | + | 1.24760i | ||||
\(579\) | −0.0919195 | + | 17.4634i | −0.00382004 | + | 0.725755i | ||||
\(580\) | −2.61850 | + | 7.19428i | −0.108728 | + | 0.298726i | ||||
\(581\) | −22.9751 | + | 19.1164i | −0.953170 | + | 0.793080i | ||||
\(582\) | −0.0885567 | + | 16.8245i | −0.00367079 | + | 0.697399i | ||||
\(583\) | 27.0662 | + | 22.7113i | 1.12097 | + | 0.940605i | ||||
\(584\) | 3.04105 | − | 5.26725i | 0.125839 | − | 0.217960i | ||||
\(585\) | −0.112916 | + | 10.7259i | −0.00466850 | + | 0.443462i | ||||
\(586\) | −1.80809 | + | 1.04390i | −0.0746916 | + | 0.0431232i | ||||
\(587\) | 24.4251 | + | 20.4951i | 1.00813 | + | 0.845924i | 0.988090 | − | 0.153875i | \(-0.0491752\pi\) |
0.0200431 | + | 0.999799i | \(0.493620\pi\) | |||||||
\(588\) | 12.4044 | + | 15.1972i | 0.511549 | + | 0.626721i | ||||
\(589\) | 4.38979 | + | 24.8957i | 0.180878 | + | 1.02581i | ||||
\(590\) | 5.48126 | − | 0.966494i | 0.225660 | − | 0.0397899i | ||||
\(591\) | 8.23411 | − | 45.3023i | 0.338706 | − | 1.86349i | ||||
\(592\) | −34.8594 | − | 29.2505i | −1.43271 | − | 1.20219i | ||||
\(593\) | 2.99491 | − | 5.18734i | 0.122986 | − | 0.213018i | −0.797958 | − | 0.602713i | \(-0.794086\pi\) |
0.920944 | + | 0.389695i | \(0.127420\pi\) | |||||||
\(594\) | −12.3283 | + | 32.2767i | −0.505837 | + | 1.32433i | ||||
\(595\) | 0.562749 | − | 0.965426i | 0.0230705 | − | 0.0395786i | ||||
\(596\) | −6.23273 | − | 17.1243i | −0.255303 | − | 0.701438i | ||||
\(597\) | 6.03460 | − | 33.2011i | 0.246980 | − | 1.35883i | ||||
\(598\) | −9.00943 | + | 24.7532i | −0.368423 | + | 1.01223i | ||||
\(599\) | 5.26383 | + | 6.27319i | 0.215074 | + | 0.256316i | 0.862785 | − | 0.505570i | \(-0.168718\pi\) |
−0.647711 | + | 0.761886i | \(0.724274\pi\) | |||||||
\(600\) | −4.05272 | + | 3.36445i | −0.165452 | + | 0.137353i | ||||
\(601\) | −11.1245 | + | 13.2576i | −0.453777 | + | 0.540791i | −0.943625 | − | 0.331018i | \(-0.892608\pi\) |
0.489847 | + | 0.871808i | \(0.337052\pi\) | |||||||
\(602\) | −0.186011 | + | 44.7764i | −0.00758123 | + | 1.82495i | ||||
\(603\) | −23.3510 | − | 20.0165i | −0.950927 | − | 0.815134i | ||||
\(604\) | 9.85176 | 0.400862 | ||||||||
\(605\) | 1.03542 | − | 0.376860i | 0.0420956 | − | 0.0153216i | ||||
\(606\) | 44.1963 | + | 0.232629i | 1.79535 | + | 0.00944992i | ||||
\(607\) | −12.6088 | − | 15.0266i | −0.511776 | − | 0.609911i | 0.446839 | − | 0.894614i | \(-0.352550\pi\) |
−0.958616 | + | 0.284703i | \(0.908105\pi\) | |||||||
\(608\) | −24.9973 | − | 9.09826i | −1.01377 | − | 0.368983i | ||||
\(609\) | 12.2054 | − | 20.6879i | 0.494588 | − | 0.838318i | ||||
\(610\) | 0.0182216 | − | 0.103340i | 0.000737771 | − | 0.00418411i | ||||
\(611\) | − | 13.2140i | − | 0.534582i | ||||||
\(612\) | 0.417873 | − | 2.23220i | 0.0168915 | − | 0.0902315i | ||||
\(613\) | 27.8234 | 1.12378 | 0.561889 | − | 0.827213i | \(-0.310075\pi\) | ||||
0.561889 | + | 0.827213i | \(0.310075\pi\) | |||||||
\(614\) | −12.2515 | + | 4.45920i | −0.494432 | + | 0.179959i | ||||
\(615\) | 1.56644 | − | 4.23428i | 0.0631649 | − | 0.170743i | ||||
\(616\) | 1.13954 | + | 6.62345i | 0.0459135 | + | 0.266866i | ||||
\(617\) | −18.1901 | − | 21.6782i | −0.732308 | − | 0.872730i | 0.263457 | − | 0.964671i | \(-0.415137\pi\) |
−0.995764 | + | 0.0919408i | \(0.970693\pi\) | |||||||
\(618\) | 48.8649 | + | 8.88164i | 1.96563 | + | 0.357272i | ||||
\(619\) | −18.7035 | + | 22.2899i | −0.751755 | + | 0.895907i | −0.997297 | − | 0.0734791i | \(-0.976590\pi\) |
0.245542 | + | 0.969386i | \(0.421034\pi\) | |||||||
\(620\) | 8.81223 | − | 5.08774i | 0.353908 | − | 0.204329i | ||||
\(621\) | −16.9727 | − | 6.48285i | −0.681091 | − | 0.260148i | ||||
\(622\) | 42.4655i | 1.70271i | ||||||||
\(623\) | −6.13449 | − | 5.19103i | −0.245773 | − | 0.207974i | ||||
\(624\) | 24.1614 | + | 20.4915i | 0.967230 | + | 0.820317i | ||||
\(625\) | 2.33381 | + | 13.2357i | 0.0933525 | + | 0.529428i | ||||
\(626\) | 1.47359 | − | 1.23649i | 0.0588964 | − | 0.0494200i | ||||
\(627\) | 7.62331 | − | 20.6067i | 0.304446 | − | 0.822954i | ||||
\(628\) | 2.64535 | + | 7.26804i | 0.105561 | + | 0.290026i | ||||
\(629\) | −2.30512 | + | 3.99258i | −0.0919110 | + | 0.159194i | ||||
\(630\) | 11.9020 | − | 6.64056i | 0.474185 | − | 0.264566i | ||||
\(631\) | 3.11061 | + | 5.38773i | 0.123831 | + | 0.214482i | 0.921275 | − | 0.388911i | \(-0.127149\pi\) |
−0.797444 | + | 0.603393i | \(0.793815\pi\) | |||||||
\(632\) | −4.41368 | + | 5.26002i | −0.175567 | + | 0.209233i | ||||
\(633\) | 8.02464 | − | 4.57688i | 0.318951 | − | 0.181915i | ||||
\(634\) | −8.20950 | − | 46.5584i | −0.326041 | − | 1.84907i | ||||
\(635\) | 5.70954 | − | 4.79088i | 0.226576 | − | 0.190120i | ||||
\(636\) | −14.0329 | − | 24.6039i | −0.556440 | − | 0.975606i | ||||
\(637\) | 9.26569 | + | 26.1308i | 0.367120 | + | 1.03534i | ||||
\(638\) | −30.1838 | + | 17.4266i | −1.19499 | + | 0.689926i | ||||
\(639\) | 2.68099 | − | 7.13147i | 0.106058 | − | 0.282116i | ||||
\(640\) | − | 5.15209i | − | 0.203654i | ||||||
\(641\) | 6.29675 | + | 1.11029i | 0.248707 | + | 0.0438537i | 0.296612 | − | 0.954998i | \(-0.404143\pi\) |
−0.0479049 | + | 0.998852i | \(0.515254\pi\) | |||||||
\(642\) | −16.9386 | + | 45.7872i | −0.668514 | + | 1.80708i | ||||
\(643\) | 2.20568 | − | 0.388920i | 0.0869834 | − | 0.0153375i | −0.129987 | − | 0.991516i | \(-0.541494\pi\) |
0.216970 | + | 0.976178i | \(0.430382\pi\) | |||||||
\(644\) | 14.7512 | − | 2.53790i | 0.581279 | − | 0.100007i | ||||
\(645\) | 13.6880 | + | 2.48792i | 0.538964 | + | 0.0979616i | ||||
\(646\) | −0.560763 | + | 3.18024i | −0.0220629 | + | 0.125125i | ||||
\(647\) | −13.4891 | − | 23.3638i | −0.530311 | − | 0.918525i | −0.999375 | − | 0.0353609i | \(-0.988742\pi\) |
0.469064 | − | 0.883164i | \(-0.344591\pi\) | |||||||
\(648\) | −4.30826 | + | 4.92019i | −0.169244 | + | 0.193283i | ||||
\(649\) | 9.81311 | + | 5.66560i | 0.385198 | + | 0.222394i | ||||
\(650\) | 29.6272 | − | 10.7834i | 1.16208 | − | 0.422961i | ||||
\(651\) | −30.1009 | + | 10.6359i | −1.17975 | + | 0.416854i | ||||
\(652\) | 9.86695 | − | 8.27936i | 0.386420 | − | 0.324245i | ||||
\(653\) | −7.80301 | + | 21.4386i | −0.305355 | + | 0.838957i | 0.688191 | + | 0.725529i | \(0.258405\pi\) |
−0.993546 | + | 0.113427i | \(0.963817\pi\) | |||||||
\(654\) | 7.52003 | − | 6.24290i | 0.294056 | − | 0.244117i | ||||
\(655\) | 3.25196 | − | 18.4428i | 0.127065 | − | 0.720620i | ||||
\(656\) | −6.66715 | − | 11.5478i | −0.260308 | − | 0.450867i | ||||
\(657\) | −15.9372 | − | 19.4044i | −0.621768 | − | 0.757037i | ||||
\(658\) | −14.5751 | + | 8.33441i | −0.568197 | + | 0.324909i | ||||
\(659\) | 21.2918 | + | 3.75431i | 0.829409 | + | 0.146247i | 0.572206 | − | 0.820110i | \(-0.306088\pi\) |
0.257203 | + | 0.966357i | \(0.417199\pi\) | |||||||
\(660\) | −8.84378 | − | 0.0465496i | −0.344244 | − | 0.00181194i | ||||
\(661\) | 28.7597 | − | 5.07112i | 1.11862 | − | 0.197244i | 0.416387 | − | 0.909187i | \(-0.363296\pi\) |
0.702237 | + | 0.711944i | \(0.252185\pi\) | |||||||
\(662\) | −49.7239 | + | 8.76767i | −1.93258 | + | 0.340765i | ||||
\(663\) | 1.61942 | − | 2.77112i | 0.0628929 | − | 0.107621i | ||||
\(664\) | 8.08394 | + | 1.42542i | 0.313718 | + | 0.0553169i | ||||
\(665\) | −7.52381 | + | 4.30230i | −0.291761 | + | 0.166836i | ||||
\(666\) | −48.9886 | + | 27.6001i | −1.89827 | + | 1.06948i | ||||
\(667\) | −9.16379 | − | 15.8721i | −0.354823 | − | 0.614572i | ||||
\(668\) | 6.31328 | − | 35.8044i | 0.244268 | − | 1.38531i | ||||
\(669\) | 13.7656 | + | 5.09248i | 0.532208 | + | 0.196887i | ||||
\(670\) | 6.02085 | − | 16.5422i | 0.232606 | − | 0.639079i | ||||
\(671\) | 0.163651 | − | 0.137319i | 0.00631766 | − | 0.00530115i | ||||
\(672\) | 6.14483 | − | 33.0271i | 0.237042 | − | 1.27405i | ||||
\(673\) | 22.4647 | − | 8.17648i | 0.865950 | − | 0.315180i | 0.129424 | − | 0.991589i | \(-0.458687\pi\) |
0.736526 | + | 0.676409i | \(0.236465\pi\) | |||||||
\(674\) | 40.8387 | + | 23.5782i | 1.57305 | + | 0.908199i | ||||
\(675\) | 7.11404 | + | 20.5496i | 0.273819 | + | 0.790954i | ||||
\(676\) | −2.17387 | − | 3.76525i | −0.0836104 | − | 0.144817i | ||||
\(677\) | −5.37818 | + | 30.5012i | −0.206700 | + | 1.17225i | 0.688042 | + | 0.725671i | \(0.258471\pi\) |
−0.894742 | + | 0.446584i | \(0.852641\pi\) | |||||||
\(678\) | 13.5320 | + | 37.7966i | 0.519692 | + | 1.45157i | ||||
\(679\) | 13.3159 | − | 2.29096i | 0.511017 | − | 0.0879188i | ||||
\(680\) | −0.302246 | + | 0.0532942i | −0.0115906 | + | 0.00204374i | ||||
\(681\) | −24.8834 | − | 29.9739i | −0.953534 | − | 1.14860i | ||||
\(682\) | 45.6192 | + | 8.04390i | 1.74685 | + | 0.308017i | ||||
\(683\) | − | 3.83140i | − | 0.146604i | −0.997310 | − | 0.0733022i | \(-0.976646\pi\) | ||
0.997310 | − | 0.0733022i | \(-0.0233538\pi\) | |||||||
\(684\) | −11.4632 | + | 13.3729i | −0.438308 | + | 0.511326i | ||||
\(685\) | −9.53964 | + | 5.50771i | −0.364491 | + | 0.210439i | ||||
\(686\) | 22.9782 | − | 26.7014i | 0.877313 | − | 1.01947i | ||||
\(687\) | −0.692995 | + | 1.18584i | −0.0264394 | + | 0.0452428i | ||||
\(688\) | 31.4767 | − | 26.4121i | 1.20004 | − | 1.00695i | ||||
\(689\) | −6.95137 | − | 39.4232i | −0.264826 | − | 1.50190i | ||||
\(690\) | 0.0547359 | − | 10.3991i | 0.00208376 | − | 0.395885i | ||||
\(691\) | −5.31576 | + | 6.33507i | −0.202221 | + | 0.240998i | −0.857618 | − | 0.514287i | \(-0.828057\pi\) |
0.655397 | + | 0.755284i | \(0.272501\pi\) | |||||||
\(692\) | 6.26547 | + | 10.8521i | 0.238177 | + | 0.412535i | ||||
\(693\) | 27.2518 | + | 5.21885i | 1.03521 | + | 0.198248i | ||||
\(694\) | −17.8241 | + | 30.8723i | −0.676594 | + | 1.17190i | ||||
\(695\) | 5.55371 | + | 15.2587i | 0.210664 | + | 0.578795i | ||||
\(696\) | −6.50275 | + | 1.11135i | −0.246486 | + | 0.0421257i | ||||
\(697\) | −1.03486 | + | 0.868348i | −0.0391980 | + | 0.0328910i | ||||
\(698\) | −8.02953 | − | 45.5377i | −0.303922 | − | 1.72363i | ||||
\(699\) | 14.1500 | − | 5.06600i | 0.535203 | − | 0.191614i | ||||
\(700\) | −13.6759 | − | 11.5726i | −0.516900 | − | 0.437402i | ||||
\(701\) | − | 19.8898i | − | 0.751226i | −0.926777 | − | 0.375613i | \(-0.877432\pi\) | ||
0.926777 | − | 0.375613i | \(-0.122568\pi\) | |||||||
\(702\) | 34.2062 | − | 19.0352i | 1.29103 | − | 0.718439i | ||||
\(703\) | 30.9663 | − | 17.8784i | 1.16792 | − | 0.674296i | ||||
\(704\) | −10.5784 | + | 12.6068i | −0.398688 | + | 0.475138i | ||||
\(705\) | 1.75836 | + | 4.91134i | 0.0662237 | + | 0.184972i | ||||
\(706\) | 27.9732 | + | 33.3371i | 1.05278 | + | 1.25466i | ||||
\(707\) | −6.01811 | − | 34.9795i | −0.226334 | − | 1.31554i | ||||
\(708\) | −5.80219 | − | 6.98916i | −0.218060 | − | 0.262669i | ||||
\(709\) | −13.1341 | + | 4.78042i | −0.493262 | + | 0.179533i | −0.576661 | − | 0.816984i | \(-0.695645\pi\) |
0.0833991 | + | 0.996516i | \(0.473422\pi\) | |||||||
\(710\) | 4.36075 | 0.163656 | ||||||||
\(711\) | 13.9151 | + | 24.6984i | 0.521856 | + | 0.926264i | ||||
\(712\) | 2.20709i | 0.0827141i | ||||||||
\(713\) | −4.22989 | + | 23.9889i | −0.158410 | + | 0.898390i | ||||
\(714\) | −4.07796 | − | 0.0384061i | −0.152614 | − | 0.00143731i | ||||
\(715\) | −11.7454 | − | 4.27499i | −0.439254 | − | 0.159876i | ||||
\(716\) | 1.94595 | + | 2.31910i | 0.0727237 | + | 0.0866687i | ||||
\(717\) | −19.5851 | + | 33.5137i | −0.731417 | + | 1.25159i | ||||
\(718\) | 14.9292 | − | 5.43377i | 0.557151 | − | 0.202786i | ||||
\(719\) | −31.4331 | −1.17226 | −0.586128 | − | 0.810218i | \(-0.699348\pi\) | ||||
−0.586128 | + | 0.810218i | \(0.699348\pi\) | |||||||
\(720\) | −11.7070 | − | 4.40110i | −0.436294 | − | 0.164019i | ||||
\(721\) | 0.165690 | − | 39.8847i | 0.00617061 | − | 1.48538i | ||||
\(722\) | −7.13076 | + | 8.49811i | −0.265380 | + | 0.316267i | ||||
\(723\) | 17.0805 | + | 6.31879i | 0.635229 | + | 0.234998i | ||||
\(724\) | −21.8308 | − | 26.0170i | −0.811337 | − | 0.966914i | ||||
\(725\) | −7.50268 | + | 20.6134i | −0.278643 | + | 0.765564i | ||||
\(726\) | −3.06678 | − | 2.60096i | −0.113819 | − | 0.0965308i | ||||
\(727\) | −9.57818 | − | 26.3158i | −0.355235 | − | 0.976000i | −0.980661 | − | 0.195716i | \(-0.937297\pi\) |
0.625426 | − | 0.780284i | \(-0.284925\pi\) | |||||||
\(728\) | 3.83464 | − | 6.57853i | 0.142121 | − | 0.243817i | ||||
\(729\) | 12.7549 | + | 23.7973i | 0.472405 | + | 0.881381i | ||||
\(730\) | 7.18617 | − | 12.4468i | 0.265972 | − | 0.460677i | ||||
\(731\) | −3.18893 | − | 2.67583i | −0.117947 | − | 0.0989692i | ||||
\(732\) | −0.161236 | + | 0.0577258i | −0.00595945 | + | 0.00213361i | ||||
\(733\) | −24.5292 | + | 4.32516i | −0.906006 | + | 0.159753i | −0.607189 | − | 0.794557i | \(-0.707703\pi\) |
−0.298817 | + | 0.954311i | \(0.596592\pi\) | |||||||
\(734\) | 3.22409 | + | 18.2847i | 0.119003 | + | 0.674900i | ||||
\(735\) | −6.92101 | − | 8.47923i | −0.255285 | − | 0.312761i | ||||
\(736\) | −19.6357 | − | 16.4763i | −0.723780 | − | 0.607324i | ||||
\(737\) | 31.0373 | − | 17.9194i | 1.14327 | − | 0.660070i | ||||
\(738\) | −16.2552 | + | 2.69012i | −0.598363 | + | 0.0990246i | ||||
\(739\) | −23.2659 | + | 40.2978i | −0.855851 | + | 1.48238i | 0.0200017 | + | 0.999800i | \(0.493633\pi\) |
−0.875853 | + | 0.482578i | \(0.839701\pi\) | |||||||
\(740\) | −11.0254 | − | 9.25140i | −0.405301 | − | 0.340088i | ||||
\(741\) | −21.6237 | + | 12.3332i | −0.794368 | + | 0.453071i | ||||
\(742\) | −39.0995 | + | 32.5326i | −1.43539 | + | 1.19431i | ||||
\(743\) | −11.9890 | + | 32.9395i | −0.439834 | + | 1.20843i | 0.499767 | + | 0.866160i | \(0.333419\pi\) |
−0.939600 | + | 0.342273i | \(0.888803\pi\) | |||||||
\(744\) | 7.57016 | + | 4.42392i | 0.277535 | + | 0.162189i | ||||
\(745\) | 3.47754 | + | 9.55446i | 0.127407 | + | 0.350048i | ||||
\(746\) | −17.4580 | − | 10.0794i | −0.639185 | − | 0.369033i | ||||
\(747\) | 17.2529 | − | 29.1694i | 0.631251 | − | 1.06725i | ||||
\(748\) | 2.29176 | + | 1.32315i | 0.0837949 | + | 0.0483790i | ||||
\(749\) | 38.5817 | + | 6.96838i | 1.40975 | + | 0.254619i | ||||
\(750\) | −21.0185 | + | 17.4489i | −0.767488 | + | 0.637145i | ||||
\(751\) | −3.85948 | − | 1.40474i | −0.140834 | − | 0.0512595i | 0.270641 | − | 0.962680i | \(-0.412764\pi\) |
−0.411476 | + | 0.911421i | \(0.634986\pi\) | |||||||
\(752\) | 14.4781 | + | 5.26961i | 0.527963 | + | 0.192163i | ||||
\(753\) | −16.0589 | − | 2.91885i | −0.585217 | − | 0.106369i | ||||
\(754\) | 38.8884 | + | 6.85708i | 1.41623 | + | 0.249720i | ||||
\(755\) | −5.49677 | −0.200048 | ||||||||
\(756\) | −19.0378 | − | 11.5037i | −0.692398 | − | 0.418386i | ||||
\(757\) | −15.6872 | −0.570161 | −0.285081 | − | 0.958504i | \(-0.592020\pi\) | ||||
−0.285081 | + | 0.958504i | \(0.592020\pi\) | |||||||
\(758\) | −11.7349 | − | 2.06918i | −0.426231 | − | 0.0751560i | ||||
\(759\) | 13.6938 | − | 16.1463i | 0.497054 | − | 0.586073i | ||||
\(760\) | 2.23682 | + | 0.814136i | 0.0811380 | + | 0.0295318i | ||||
\(761\) | −26.4207 | − | 9.61636i | −0.957751 | − | 0.348593i | −0.184599 | − | 0.982814i | \(-0.559099\pi\) |
−0.773152 | + | 0.634221i | \(0.781321\pi\) | |||||||
\(762\) | −25.5107 | − | 9.43749i | −0.924155 | − | 0.341884i | ||||
\(763\) | −5.99166 | − | 5.07016i | −0.216912 | − | 0.183552i | ||||
\(764\) | 14.3632 | + | 8.29258i | 0.519641 | + | 0.300015i | ||||
\(765\) | −0.233151 | + | 1.24545i | −0.00842960 | + | 0.0450295i | ||||
\(766\) | 13.7794 | + | 7.95553i | 0.497869 | + | 0.287445i | ||||
\(767\) | −4.39091 | − | 12.0639i | −0.158546 | − | 0.435603i | ||||
\(768\) | −30.4983 | + | 17.3948i | −1.10051 | + | 0.627681i | ||||
\(769\) | 9.49574 | − | 26.0893i | 0.342425 | − | 0.940806i | −0.642263 | − | 0.766484i | \(-0.722004\pi\) |
0.984689 | − | 0.174322i | \(-0.0557733\pi\) | |||||||
\(770\) | 2.69281 | + | 15.6516i | 0.0970420 | + | 0.564045i | ||||
\(771\) | 17.6320 | + | 10.3040i | 0.635001 | + | 0.371088i | ||||
\(772\) | 12.4969 | + | 10.4861i | 0.449772 | + | 0.377403i | ||||
\(773\) | −6.54808 | + | 11.3416i | −0.235518 | + | 0.407929i | −0.959423 | − | 0.281970i | \(-0.909012\pi\) |
0.723905 | + | 0.689900i | \(0.242345\pi\) | |||||||
\(774\) | −16.8619 | − | 47.8903i | −0.606088 | − | 1.72138i | ||||
\(775\) | 25.2493 | − | 14.5777i | 0.906981 | − | 0.523646i | ||||
\(776\) | −2.84272 | − | 2.38532i | −0.102048 | − | 0.0856280i | ||||
\(777\) | 28.6984 | + | 34.8631i | 1.02955 | + | 1.25071i | ||||
\(778\) | −6.41839 | − | 36.4005i | −0.230110 | − | 1.30502i | ||||
\(779\) | 10.3184 | − | 1.81942i | 0.369696 | − | 0.0651874i | ||||
\(780\) | 7.64180 | + | 6.48108i | 0.273620 | + | 0.232060i | ||||
\(781\) | 6.80084 | + | 5.70659i | 0.243353 | + | 0.204198i | ||||
\(782\) | −1.55584 | + | 2.69479i | −0.0556366 | + | 0.0963654i | ||||
\(783\) | −5.15244 | + | 26.7444i | −0.184133 | + | 0.955766i | ||||
\(784\) | −32.3256 | − | 0.268580i | −1.15449 | − | 0.00959214i | ||||
\(785\) | −1.47597 | − | 4.05519i | −0.0526796 | − | 0.144736i | ||||
\(786\) | −64.3449 | + | 23.0368i | −2.29511 | + | 0.821696i | ||||
\(787\) | 16.1148 | − | 44.2749i | 0.574429 | − | 1.57823i | −0.223001 | − | 0.974818i | \(-0.571585\pi\) |
0.797430 | − | 0.603412i | \(-0.206193\pi\) | |||||||
\(788\) | −27.6476 | − | 32.9491i | −0.984904 | − | 1.17376i | ||||
\(789\) | −1.35494 | − | 7.92802i | −0.0482370 | − | 0.282245i | ||||
\(790\) | −10.4298 | + | 12.4297i | −0.371076 | + | 0.442231i | ||||
\(791\) | 27.9875 | − | 16.0040i | 0.995122 | − | 0.569035i | ||||
\(792\) | −3.74063 | − | 6.63940i | −0.132918 | − | 0.235921i | ||||
\(793\) | −0.242042 | −0.00859515 | ||||||||
\(794\) | −50.7052 | + | 18.4552i | −1.79946 | + | 0.654949i | ||||
\(795\) | 7.82962 | + | 13.7277i | 0.277688 | + | 0.486870i | ||||
\(796\) | −20.2623 | − | 24.1477i | −0.718178 | − | 0.855892i | ||||
\(797\) | −35.7462 | − | 13.0105i | −1.26619 | − | 0.460857i | −0.380352 | − | 0.924842i | \(-0.624197\pi\) |
−0.885843 | + | 0.463985i | \(0.846419\pi\) | |||||||
\(798\) | 27.2422 | + | 16.0722i | 0.964363 | + | 0.568951i | ||||
\(799\) | 0.271052 | − | 1.53721i | 0.00958914 | − | 0.0543827i | ||||
\(800\) | 30.6797i | 1.08469i | ||||||||
\(801\) | 8.52927 | + | 3.20648i | 0.301367 | + | 0.113295i | ||||
\(802\) | −37.1361 | −1.31132 | ||||||||
\(803\) | 27.4955 | − | 10.0075i | 0.970294 | − | 0.353158i | ||||
\(804\) | −28.3197 | + | 4.83998i | −0.998760 | + | 0.170693i | ||||
\(805\) | −8.23040 | + | 1.41601i | −0.290084 | + | 0.0499079i | ||||
\(806\) | −33.7357 | − | 40.2047i | −1.18829 | − | 1.41615i | ||||
\(807\) | −30.3496 | + | 35.7850i | −1.06836 | + | 1.25969i | ||||
\(808\) | −6.26600 | + | 7.46752i | −0.220437 | + | 0.262707i | ||||
\(809\) | −7.26934 | + | 4.19695i | −0.255576 | + | 0.147557i | −0.622315 | − | 0.782767i | \(-0.713808\pi\) |
0.366739 | + | 0.930324i | \(0.380474\pi\) | |||||||
\(810\) | −10.1807 | + | 11.6267i | −0.357712 | + | 0.408521i | ||||
\(811\) | 36.2880i | 1.27425i | 0.770762 | + | 0.637123i | \(0.219876\pi\) | ||||
−0.770762 | + | 0.637123i | \(0.780124\pi\) | |||||||
\(812\) | −7.58661 | − | 21.1166i | −0.266238 | − | 0.741046i | ||||
\(813\) | 1.40618 | − | 7.73648i | 0.0493168 | − | 0.271330i | ||||
\(814\) | −11.3776 | − | 64.5257i | −0.398785 | − | 2.26162i | ||||
\(815\) | −5.50524 | + | 4.61945i | −0.192840 | + | 0.161812i | ||||
\(816\) | 2.39042 | + | 2.87943i | 0.0836813 | + | 0.100800i | ||||
\(817\) | 11.0428 | + | 30.3398i | 0.386338 | + | 1.06145i | ||||
\(818\) | 33.2557 | − | 57.6006i | 1.16276 | − | 2.01396i | ||||
\(819\) | −19.8516 | − | 24.3763i | −0.693673 | − | 0.851776i | ||||
\(820\) | −2.10869 | − | 3.65237i | −0.0736388 | − | 0.127546i | ||||
\(821\) | 32.8795 | − | 39.1842i | 1.14750 | − | 1.36754i | 0.228377 | − | 0.973573i | \(-0.426658\pi\) |
0.919125 | − | 0.393967i | \(-0.128897\pi\) | |||||||
\(822\) | 34.7082 | + | 20.2831i | 1.21059 | + | 0.707455i | ||||
\(823\) | 0.738462 | + | 4.18802i | 0.0257412 | + | 0.145985i | 0.994970 | − | 0.100178i | \(-0.0319412\pi\) |
−0.969228 | + | 0.246163i | \(0.920830\pi\) | |||||||
\(824\) | −8.39149 | + | 7.04130i | −0.292331 | + | 0.245295i | ||||
\(825\) | −25.3397 | − | 0.133377i | −0.882214 | − | 0.00464357i | ||||
\(826\) | −10.5371 | + | 12.4522i | −0.366632 | + | 0.433267i | ||||
\(827\) | 15.9647 | − | 9.21722i | 0.555147 | − | 0.320514i | −0.196048 | − | 0.980594i | \(-0.562811\pi\) |
0.751195 | + | 0.660080i | \(0.229478\pi\) | |||||||
\(828\) | −14.7867 | + | 8.33082i | −0.513874 | + | 0.289516i | ||||
\(829\) | − | 2.47231i | − | 0.0858670i | −0.999078 | − | 0.0429335i | \(-0.986330\pi\) | ||
0.999078 | − | 0.0429335i | \(-0.0136704\pi\) | |||||||
\(830\) | 19.1028 | + | 3.36834i | 0.663069 | + | 0.116917i | ||||
\(831\) | 13.6104 | − | 2.32609i | 0.472141 | − | 0.0806912i | ||||
\(832\) | 18.3624 | − | 3.23779i | 0.636602 | − | 0.112250i | ||||
\(833\) | 0.541891 | + | 3.22991i | 0.0187754 | + | 0.111910i | ||||
\(834\) | 38.3298 | − | 45.1944i | 1.32725 | − | 1.56496i | ||||
\(835\) | −3.52248 | + | 19.9770i | −0.121901 | + | 0.691332i | ||||
\(836\) | −10.2623 | − | 17.7748i | −0.354928 | − | 0.614754i | ||||
\(837\) | 28.0942 | − | 22.8277i | 0.971077 | − | 0.789040i | ||||
\(838\) | 66.8167 | + | 38.5766i | 2.30814 | + | 1.33261i | ||||
\(839\) | 11.0811 | − | 4.03321i | 0.382563 | − | 0.139242i | −0.143578 | − | 0.989639i | \(-0.545861\pi\) |
0.526141 | + | 0.850397i | \(0.323638\pi\) | |||||||
\(840\) | −0.549855 | + | 2.95535i | −0.0189718 | + | 0.101969i | ||||
\(841\) | 1.16867 | − | 0.980630i | 0.0402989 | − | 0.0338148i | ||||
\(842\) | 10.2974 | − | 28.2918i | 0.354871 | − | 0.975001i | ||||
\(843\) | 1.79389 | + | 10.4965i | 0.0617850 | + | 0.361517i | ||||
\(844\) | 1.49853 | − | 8.49858i | 0.0515815 | − | 0.292533i | ||||
\(845\) | 1.21291 | + | 2.10082i | 0.0417252 | + | 0.0722702i | ||||
\(846\) | 12.3901 | − | 14.4542i | 0.425981 | − | 0.496945i | ||||
\(847\) | −1.62627 | + | 2.78995i | −0.0558793 | + | 0.0958638i | ||||
\(848\) | 45.9667 | + | 8.10517i | 1.57850 | + | 0.278333i | ||||
\(849\) | −9.84533 | − | 17.2618i | −0.337891 | − | 0.592423i | ||||
\(850\) | 3.66780 | − | 0.646731i | 0.125804 | − | 0.0221827i | ||||
\(851\) | 33.9308 | − | 5.98292i | 1.16313 | − | 0.205092i | ||||
\(852\) | −3.52600 | − | 6.18213i | −0.120799 | − | 0.211796i | ||||
\(853\) | 14.3072 | + | 2.52275i | 0.489869 | + | 0.0863772i | 0.413126 | − | 0.910674i | \(-0.364437\pi\) |
0.0767431 | + | 0.997051i | \(0.475548\pi\) | |||||||
\(854\) | 0.152662 | + | 0.266973i | 0.00522397 | + | 0.00913562i | ||||
\(855\) | 6.39589 | − | 7.46138i | 0.218735 | − | 0.255174i | ||||
\(856\) | −5.38390 | − | 9.32519i | −0.184018 | − | 0.318729i | ||||
\(857\) | 2.88185 | − | 16.3438i | 0.0984422 | − | 0.558293i | −0.895196 | − | 0.445673i | \(-0.852964\pi\) |
0.993638 | − | 0.112621i | \(-0.0359244\pi\) | |||||||
\(858\) | 7.68447 | + | 44.9634i | 0.262343 | + | 1.53503i | ||||
\(859\) | 7.49548 | − | 20.5937i | 0.255742 | − | 0.702647i | −0.743676 | − | 0.668540i | \(-0.766919\pi\) |
0.999418 | − | 0.0341061i | \(-0.0108584\pi\) | |||||||
\(860\) | 9.95548 | − | 8.35364i | 0.339479 | − | 0.284857i | ||||
\(861\) | 4.40821 | + | 12.4758i | 0.150232 | + | 0.425174i | ||||
\(862\) | −14.2039 | + | 5.16980i | −0.483787 | + | 0.176084i | ||||
\(863\) | 6.94716 | + | 4.01095i | 0.236484 | + | 0.136534i | 0.613560 | − | 0.789648i | \(-0.289737\pi\) |
−0.377076 | + | 0.926182i | \(0.623070\pi\) | |||||||
\(864\) | 6.02144 | + | 37.6130i | 0.204854 | + | 1.27962i | ||||
\(865\) | −3.49580 | − | 6.05491i | −0.118861 | − | 0.205873i | ||||
\(866\) | −5.44185 | + | 30.8622i | −0.184921 | + | 1.04874i | ||||
\(867\) | −18.8000 | + | 22.1670i | −0.638482 | + | 0.752830i | ||||
\(868\) | −10.3161 | + | 27.9810i | −0.350151 | + | 0.949738i | ||||
\(869\) | −32.5317 | + | 5.73622i | −1.10356 | + | 0.194588i | ||||
\(870\) | −15.3664 | + | 2.62619i | −0.520969 | + | 0.0890361i | ||||
\(871\) | −39.9882 | − | 7.05099i | −1.35495 | − | 0.238914i | ||||
\(872\) | 2.15570i | 0.0730012i | ||||||||
\(873\) | −13.3480 | + | 7.52022i | −0.451760 | + | 0.254521i | ||||
\(874\) | 20.9007 | − | 12.0670i | 0.706976 | − | 0.408173i | ||||
\(875\) | 16.7467 | + | 14.1711i | 0.566142 | + | 0.479072i | ||||
\(876\) | −23.4561 | − | 0.123462i | −0.792508 | − | 0.00417140i | ||||
\(877\) | 27.6050 | − | 23.1634i | 0.932155 | − | 0.782171i | −0.0440478 | − | 0.999029i | \(-0.514025\pi\) |
0.976203 | + | 0.216858i | \(0.0695810\pi\) | |||||||
\(878\) | 2.01529 | + | 11.4293i | 0.0680128 | + | 0.385720i | ||||
\(879\) | −1.64142 | − | 0.959231i | −0.0553639 | − | 0.0323541i | ||||
\(880\) | 9.36791 | − | 11.1642i | 0.315792 | − | 0.376346i | ||||
\(881\) | −21.1819 | − | 36.6881i | −0.713636 | − | 1.23605i | −0.963483 | − | 0.267769i | \(-0.913714\pi\) |
0.249847 | − | 0.968285i | \(-0.419620\pi\) | |||||||
\(882\) | −14.3662 | + | 37.2712i | −0.483735 | + | 1.25499i | ||||
\(883\) | −3.68137 | + | 6.37633i | −0.123888 | + | 0.214580i | −0.921298 | − | 0.388858i | \(-0.872870\pi\) |
0.797410 | + | 0.603438i | \(0.206203\pi\) | |||||||
\(884\) | −1.02545 | − | 2.81741i | −0.0344897 | − | 0.0947598i | ||||
\(885\) | 3.23732 | + | 3.89959i | 0.108821 | + | 0.131083i | ||||
\(886\) | 29.0065 | − | 24.3393i | 0.974493 | − | 0.817696i | ||||
\(887\) | 0.0845808 | + | 0.479682i | 0.00283995 | + | 0.0161061i | 0.986195 | − | 0.165589i | \(-0.0529526\pi\) |
−0.983355 | + | 0.181695i | \(0.941842\pi\) | |||||||
\(888\) | 2.21782 | − | 12.2019i | 0.0744250 | − | 0.409471i | ||||
\(889\) | −3.88249 | + | 21.4961i | −0.130215 | + | 0.720957i | ||||
\(890\) | 5.21548i | 0.174823i | ||||||||
\(891\) | −31.0923 | + | 4.80984i | −1.04163 | + | 0.161136i | ||||
\(892\) | 11.8738 | − | 6.85534i | 0.397564 | − | 0.229534i | ||||
\(893\) | −7.78191 | + | 9.27412i | −0.260412 | + | 0.310346i | ||||
\(894\) | 24.0008 | − | 28.2992i | 0.802707 | − | 0.946466i | ||||
\(895\) | −1.08574 | − | 1.29393i | −0.0362923 | − | 0.0432515i | ||||
\(896\) | 9.65773 | + | 11.6072i | 0.322642 | + | 0.387770i | ||||
\(897\) | −23.6440 | + | 4.04088i | −0.789452 | + | 0.134921i | ||||
\(898\) | −0.850867 | + | 0.309690i | −0.0283938 | + | 0.0103345i | ||||
\(899\) | 36.5159 | 1.21787 | ||||||||
\(900\) | 19.0147 | + | 7.14833i | 0.633822 | + | 0.238278i | ||||
\(901\) | − | 4.72877i | − | 0.157538i | ||||||
\(902\) | 3.33392 | − | 18.9076i | 0.111007 | − | 0.629554i | ||||
\(903\) | −35.5015 | + | 20.0534i | −1.18142 | + | 0.667336i | ||||
\(904\) | −8.32066 | − | 3.02847i | −0.276741 | − | 0.100726i | ||||
\(905\) | 12.1805 | + | 14.5161i | 0.404892 | + | 0.482532i | ||||
\(906\) | 9.93852 | + | 17.4252i | 0.330185 | + | 0.578913i | ||||
\(907\) | 2.19110 | − | 0.797495i | 0.0727542 | − | 0.0264804i | −0.305387 | − | 0.952228i | \(-0.598786\pi\) |
0.378141 | + | 0.925748i | \(0.376563\pi\) | |||||||
\(908\) | −36.3909 | −1.20767 | ||||||||
\(909\) | 19.7549 | + | 35.0637i | 0.655227 | + | 1.16299i | ||||
\(910\) | 9.06148 | − | 15.5455i | 0.300385 | − | 0.515327i | ||||
\(911\) | −17.0700 | + | 20.3432i | −0.565553 | + | 0.674000i | −0.970712 | − | 0.240246i | \(-0.922772\pi\) |
0.405159 | + | 0.914246i | \(0.367216\pi\) | |||||||
\(912\) | −4.88971 | − | 28.6107i | −0.161914 | − | 0.947396i | ||||
\(913\) | 25.3841 | + | 30.2515i | 0.840090 | + | 1.00118i | ||||
\(914\) | 7.51791 | − | 20.6553i | 0.248670 | − | 0.683216i | ||||
\(915\) | 0.0899612 | − | 0.0322080i | 0.00297403 | − | 0.00106476i | ||||
\(916\) | 0.438822 | + | 1.20565i | 0.0144991 | + | 0.0398359i | ||||
\(917\) | 27.2451 | + | 47.6460i | 0.899713 | + | 1.57341i | ||||
\(918\) | 4.36974 | − | 1.51275i | 0.144223 | − | 0.0499283i | ||||
\(919\) | −4.06315 | + | 7.03758i | −0.134031 | + | 0.232148i | −0.925227 | − | 0.379414i | \(-0.876125\pi\) |
0.791196 | + | 0.611563i | \(0.209459\pi\) | |||||||
\(920\) | 1.75705 | + | 1.47434i | 0.0579282 | + | 0.0486075i | ||||
\(921\) | −9.05437 | − | 7.67910i | −0.298352 | − | 0.253035i | ||||
\(922\) | 37.9293 | − | 6.68796i | 1.24914 | − | 0.220256i | ||||
\(923\) | −1.74665 | − | 9.90573i | −0.0574916 | − | 0.326051i | ||||
\(924\) | 20.0115 | − | 16.4730i | 0.658332 | − | 0.541923i | ||||
\(925\) | −31.5905 | − | 26.5076i | −1.03869 | − | 0.871565i | ||||
\(926\) | −10.2010 | + | 5.88956i | −0.335226 | + | 0.193543i | ||||
\(927\) | 15.0198 | + | 42.6585i | 0.493314 | + | 1.40109i | ||||
\(928\) | −19.2126 | + | 33.2771i | −0.630683 | + | 1.09238i | ||||
\(929\) | 15.6525 | + | 13.1340i | 0.513541 | + | 0.430912i | 0.862373 | − | 0.506273i | \(-0.168977\pi\) |
−0.348832 | + | 0.937185i | \(0.613422\pi\) | |||||||
\(930\) | 17.8887 | + | 10.4540i | 0.586594 | + | 0.342800i | ||||
\(931\) | 8.88573 | − | 23.7963i | 0.291218 | − | 0.779892i | ||||
\(932\) | 4.80185 | − | 13.1930i | 0.157290 | − | 0.432150i | ||||
\(933\) | −33.5897 | + | 19.1580i | −1.09968 | + | 0.627205i | ||||
\(934\) | 2.47664 | + | 6.80451i | 0.0810381 | + | 0.222650i | ||||
\(935\) | −1.27868 | − | 0.738247i | −0.0418173 | − | 0.0241433i | ||||
\(936\) | −1.58872 | + | 8.48668i | −0.0519290 | + | 0.277396i | ||||
\(937\) | 29.2827 | + | 16.9064i | 0.956625 | + | 0.552308i | 0.895133 | − | 0.445800i | \(-0.147081\pi\) |
0.0614921 | + | 0.998108i | \(0.480414\pi\) | |||||||
\(938\) | 17.4443 | + | 48.5543i | 0.569575 | + | 1.58536i | ||||
\(939\) | 1.64285 | + | 0.607759i | 0.0536123 | + | 0.0198335i | ||||
\(940\) | 4.57916 | + | 1.66668i | 0.149356 | + | 0.0543611i | ||||
\(941\) | −42.3099 | − | 15.3995i | −1.37926 | − | 0.502011i | −0.457309 | − | 0.889308i | \(-0.651186\pi\) |
−0.921955 | + | 0.387297i | \(0.873409\pi\) | |||||||
\(942\) | −10.1866 | + | 12.0110i | −0.331898 | + | 0.391339i | ||||
\(943\) | 9.94256 | + | 1.75314i | 0.323774 | + | 0.0570902i | ||||
\(944\) | 14.9691 | 0.487201 | ||||||||
\(945\) | 10.6221 | + | 6.41847i | 0.345537 | + | 0.208793i | ||||
\(946\) | 59.1629 | 1.92355 | ||||||||
\(947\) | −1.23405 | − | 0.217597i | −0.0401014 | − | 0.00707095i | 0.153562 | − | 0.988139i | \(-0.450926\pi\) |
−0.193663 | + | 0.981068i | \(0.562037\pi\) | |||||||
\(948\) | 26.0546 | + | 4.73567i | 0.846215 | + | 0.153807i | ||||
\(949\) | −31.1521 | − | 11.3384i | −1.01124 | − | 0.368061i | ||||
\(950\) | −27.1441 | − | 9.87964i | −0.880670 | − | 0.320538i | ||||
\(951\) | 33.1235 | − | 27.4981i | 1.07410 | − | 0.891688i | ||||
\(952\) | 0.581034 | − | 0.686636i | 0.0188314 | − | 0.0222540i | ||||
\(953\) | 41.3947 | + | 23.8992i | 1.34091 | + | 0.774172i | 0.986940 | − | 0.161086i | \(-0.0514997\pi\) |
0.353965 | + | 0.935259i | \(0.384833\pi\) | |||||||
\(954\) | 29.3613 | − | 49.6411i | 0.950608 | − | 1.60719i | ||||
\(955\) | −8.01390 | − | 4.62682i | −0.259324 | − | 0.149721i | ||||
\(956\) | 12.4017 | + | 34.0735i | 0.401101 | + | 1.10202i | ||||
\(957\) | −27.4014 | − | 16.0131i | −0.885763 | − | 0.517631i | ||||
\(958\) | −19.5540 | + | 53.7242i | −0.631762 | + | 1.73575i | ||||
\(959\) | 11.1676 | − | 30.2907i | 0.360622 | − | 0.978139i | ||||
\(960\) | −6.39403 | + | 3.64686i | −0.206367 | + | 0.117702i | ||||
\(961\) | −13.4309 | − | 11.2699i | −0.433255 | − | 0.363544i | ||||
\(962\) | −37.1174 | + | 64.2892i | −1.19671 | + | 2.07277i | ||||
\(963\) | −43.8589 | + | 7.25831i | −1.41333 | + | 0.233896i | ||||
\(964\) | 14.7331 | − | 8.50617i | 0.474522 | − | 0.273965i | ||||
\(965\) | −6.97259 | − | 5.85070i | −0.224456 | − | 0.188341i | ||||
\(966\) | 19.3700 | + | 23.5308i | 0.623219 | + | 0.757091i | ||||
\(967\) | −3.01993 | − | 17.1269i | −0.0971143 | − | 0.550763i | −0.994079 | − | 0.108660i | \(-0.965344\pi\) |
0.896965 | − | 0.442102i | \(-0.145767\pi\) | |||||||
\(968\) | 0.873451 | − | 0.154013i | 0.0280738 | − | 0.00495017i | ||||
\(969\) | −2.76852 | + | 0.991188i | −0.0889377 | + | 0.0318415i | ||||
\(970\) | −6.71750 | − | 5.63665i | −0.215686 | − | 0.180982i | ||||
\(971\) | 13.6117 | − | 23.5762i | 0.436821 | − | 0.756596i | −0.560622 | − | 0.828072i | \(-0.689438\pi\) |
0.997442 | + | 0.0714765i | \(0.0227711\pi\) | |||||||
\(972\) | 24.7147 | + | 5.03181i | 0.792725 | + | 0.161395i | ||||
\(973\) | −41.1149 | − | 23.9660i | −1.31808 | − | 0.768314i | ||||
\(974\) | −24.7139 | − | 67.9008i | −0.791884 | − | 2.17568i | ||||
\(975\) | 21.8957 | + | 18.5699i | 0.701224 | + | 0.594714i | ||||
\(976\) | 0.0965236 | − | 0.265196i | 0.00308965 | − | 0.00848873i | ||||
\(977\) | −14.5399 | − | 17.3280i | −0.465173 | − | 0.554372i | 0.481550 | − | 0.876418i | \(-0.340074\pi\) |
−0.946724 | + | 0.322046i | \(0.895629\pi\) | |||||||
\(978\) | 24.5979 | + | 9.09980i | 0.786553 | + | 0.290979i | ||||
\(979\) | −6.82510 | + | 8.13384i | −0.218131 | + | 0.259959i | ||||
\(980\) | −10.2240 | − | 0.0849468i | −0.326593 | − | 0.00271353i | ||||
\(981\) | 8.33067 | + | 3.13182i | 0.265978 | + | 0.0999912i | ||||
\(982\) | −59.8999 | −1.91148 | ||||||||
\(983\) | −20.7495 | + | 7.55220i | −0.661806 | + | 0.240878i | −0.651016 | − | 0.759064i | \(-0.725657\pi\) |
−0.0107901 | + | 0.999942i | \(0.503435\pi\) | |||||||
\(984\) | 1.83356 | − | 3.13757i | 0.0584519 | − | 0.100022i | ||||
\(985\) | 15.4259 | + | 18.3839i | 0.491510 | + | 0.585759i | ||||
\(986\) | 4.38332 | + | 1.59540i | 0.139593 | + | 0.0508078i | ||||
\(987\) | −13.1679 | − | 7.76873i | −0.419138 | − | 0.247282i | ||||
\(988\) | −4.03804 | + | 22.9008i | −0.128467 | + | 0.728573i | ||||
\(989\) | 31.1108i | 0.989267i | ||||||||
\(990\) | −8.83933 | − | 15.6893i | −0.280932 | − | 0.498639i | ||||
\(991\) | 10.8816 | 0.345665 | 0.172832 | − | 0.984951i | \(-0.444708\pi\) | ||||
0.172832 | + | 0.984951i | \(0.444708\pi\) | |||||||
\(992\) | 47.9904 | − | 17.4671i | 1.52370 | − | 0.554580i | ||||
\(993\) | −29.3677 | − | 35.3756i | −0.931957 | − | 1.12261i | ||||
\(994\) | −9.82441 | + | 8.17435i | −0.311611 | + | 0.259275i | ||||
\(995\) | 11.3053 | + | 13.4731i | 0.358402 | + | 0.427127i | ||||
\(996\) | −10.6709 | − | 29.8052i | −0.338119 | − | 0.944413i | ||||
\(997\) | 3.84409 | − | 4.58120i | 0.121743 | − | 0.145088i | −0.701730 | − | 0.712443i | \(-0.747589\pi\) |
0.823473 | + | 0.567355i | \(0.192033\pi\) | |||||||
\(998\) | −30.9846 | + | 17.8890i | −0.980801 | + | 0.566266i | ||||
\(999\) | −43.9322 | − | 26.2978i | −1.38995 | − | 0.832026i |
(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 | 189.2.bd.a.47.19 | yes | 132 | |
3.2 | odd | 2 | 567.2.bd.a.467.4 | 132 | |||
7.3 | odd | 6 | 189.2.ba.a.101.4 | ✓ | 132 | ||
21.17 | even | 6 | 567.2.ba.a.143.19 | 132 | |||
27.4 | even | 9 | 567.2.ba.a.341.19 | 132 | |||
27.23 | odd | 18 | 189.2.ba.a.131.4 | yes | 132 | ||
189.31 | odd | 18 | 567.2.bd.a.17.4 | 132 | |||
189.185 | even | 18 | inner | 189.2.bd.a.185.19 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.4 | ✓ | 132 | 7.3 | odd | 6 | ||
189.2.ba.a.131.4 | yes | 132 | 27.23 | odd | 18 | ||
189.2.bd.a.47.19 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.bd.a.185.19 | yes | 132 | 189.185 | even | 18 | inner | |
567.2.ba.a.143.19 | 132 | 21.17 | even | 6 | |||
567.2.ba.a.341.19 | 132 | 27.4 | even | 9 | |||
567.2.bd.a.17.4 | 132 | 189.31 | odd | 18 | |||
567.2.bd.a.467.4 | 132 | 3.2 | odd | 2 |