Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(4,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.y (of order \(15\), degree \(8\), 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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.5 | ||
Character | \(\chi\) | \(=\) | 231.16 |
Dual form | 231.2.y.b.130.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.300702 | + | 0.0639162i | 0.212629 | + | 0.0451956i | 0.312994 | − | 0.949755i | \(-0.398668\pi\) |
−0.100366 | + | 0.994951i | \(0.532001\pi\) | |||||||
\(3\) | −0.104528 | + | 0.994522i | −0.0603495 | + | 0.574187i | ||||
\(4\) | −1.74075 | − | 0.775034i | −0.870377 | − | 0.387517i | ||||
\(5\) | −1.51090 | − | 1.67802i | −0.675693 | − | 0.750433i | 0.303618 | − | 0.952794i | \(-0.401805\pi\) |
−0.979311 | + | 0.202361i | \(0.935139\pi\) | |||||||
\(6\) | −0.0949980 | + | 0.292374i | −0.0387828 | + | 0.119361i | ||||
\(7\) | −2.44866 | + | 1.00203i | −0.925506 | + | 0.378732i | ||||
\(8\) | −0.971327 | − | 0.705711i | −0.343416 | − | 0.249506i | ||||
\(9\) | −0.978148 | − | 0.207912i | −0.326049 | − | 0.0693039i | ||||
\(10\) | −0.347077 | − | 0.601155i | −0.109755 | − | 0.190102i | ||||
\(11\) | −3.25302 | + | 0.646421i | −0.980822 | + | 0.194903i | ||||
\(12\) | 0.952746 | − | 1.65021i | 0.275034 | − | 0.476373i | ||||
\(13\) | −0.617122 | − | 1.89931i | −0.171159 | − | 0.526773i | 0.828278 | − | 0.560317i | \(-0.189321\pi\) |
−0.999437 | + | 0.0335439i | \(0.989321\pi\) | |||||||
\(14\) | −0.800363 | + | 0.144804i | −0.213906 | + | 0.0387005i | ||||
\(15\) | 1.82676 | − | 1.32722i | 0.471667 | − | 0.342686i | ||||
\(16\) | 2.30307 | + | 2.55782i | 0.575768 | + | 0.639456i | ||||
\(17\) | 1.60299 | − | 0.340727i | 0.388783 | − | 0.0826384i | −0.00937299 | − | 0.999956i | \(-0.502984\pi\) |
0.398156 | + | 0.917318i | \(0.369650\pi\) | |||||||
\(18\) | −0.280842 | − | 0.125039i | −0.0661951 | − | 0.0294720i | ||||
\(19\) | −5.17916 | + | 2.30591i | −1.18818 | + | 0.529012i | −0.903074 | − | 0.429484i | \(-0.858695\pi\) |
−0.285106 | + | 0.958496i | \(0.592029\pi\) | |||||||
\(20\) | 1.32958 | + | 4.09201i | 0.297302 | + | 0.915002i | ||||
\(21\) | −0.740587 | − | 2.53999i | −0.161609 | − | 0.554270i | ||||
\(22\) | −1.01951 | − | 0.0135404i | −0.217360 | − | 0.00288682i | ||||
\(23\) | 3.28422 | − | 5.68844i | 0.684807 | − | 1.18612i | −0.288690 | − | 0.957423i | \(-0.593220\pi\) |
0.973497 | − | 0.228699i | \(-0.0734470\pi\) | |||||||
\(24\) | 0.803376 | − | 0.892240i | 0.163988 | − | 0.182128i | ||||
\(25\) | −0.0103017 | + | 0.0980145i | −0.00206035 | + | 0.0196029i | ||||
\(26\) | −0.0641735 | − | 0.610570i | −0.0125855 | − | 0.119743i | ||||
\(27\) | 0.309017 | − | 0.951057i | 0.0594703 | − | 0.183031i | ||||
\(28\) | 5.03912 | + | 0.153504i | 0.952305 | + | 0.0290095i | ||||
\(29\) | 5.03842 | − | 3.66062i | 0.935611 | − | 0.679761i | −0.0117495 | − | 0.999931i | \(-0.503740\pi\) |
0.947360 | + | 0.320170i | \(0.103740\pi\) | |||||||
\(30\) | 0.634141 | − | 0.282338i | 0.115778 | − | 0.0515476i | ||||
\(31\) | −4.40080 | + | 4.88759i | −0.790408 | + | 0.877837i | −0.994883 | − | 0.101035i | \(-0.967785\pi\) |
0.204475 | + | 0.978872i | \(0.434451\pi\) | |||||||
\(32\) | 1.72968 | + | 2.99589i | 0.305767 | + | 0.529604i | ||||
\(33\) | −0.302847 | − | 3.30277i | −0.0527189 | − | 0.574938i | ||||
\(34\) | 0.503802 | 0.0864013 | ||||||||
\(35\) | 5.38110 | + | 2.59493i | 0.909571 | + | 0.438624i | ||||
\(36\) | 1.54158 | + | 1.12002i | 0.256929 | + | 0.186670i | ||||
\(37\) | 1.02681 | + | 9.76946i | 0.168807 | + | 1.60609i | 0.671083 | + | 0.741382i | \(0.265829\pi\) |
−0.502277 | + | 0.864707i | \(0.667504\pi\) | |||||||
\(38\) | −1.70477 | + | 0.362360i | −0.276550 | + | 0.0587825i | ||||
\(39\) | 1.95341 | − | 0.415210i | 0.312796 | − | 0.0664868i | ||||
\(40\) | 0.283378 | + | 2.69616i | 0.0448060 | + | 0.426301i | ||||
\(41\) | −5.78824 | − | 4.20541i | −0.903972 | − | 0.656774i | 0.0355112 | − | 0.999369i | \(-0.488694\pi\) |
−0.939483 | + | 0.342595i | \(0.888694\pi\) | |||||||
\(42\) | −0.0603498 | − | 0.811115i | −0.00931218 | − | 0.125158i | ||||
\(43\) | −5.88634 | −0.897658 | −0.448829 | − | 0.893618i | \(-0.648159\pi\) | ||||
−0.448829 | + | 0.893618i | \(0.648159\pi\) | |||||||
\(44\) | 6.16371 | + | 1.39594i | 0.929214 | + | 0.210446i | ||||
\(45\) | 1.12900 | + | 1.95548i | 0.168301 | + | 0.291506i | ||||
\(46\) | 1.35116 | − | 1.50061i | 0.199217 | − | 0.221253i | ||||
\(47\) | −7.36751 | + | 3.28022i | −1.07466 | + | 0.478470i | −0.866270 | − | 0.499576i | \(-0.833489\pi\) |
−0.208391 | + | 0.978046i | \(0.566823\pi\) | |||||||
\(48\) | −2.78455 | + | 2.02309i | −0.401915 | + | 0.292008i | ||||
\(49\) | 4.99187 | − | 4.90727i | 0.713124 | − | 0.701038i | ||||
\(50\) | −0.00936247 | + | 0.0288147i | −0.00132405 | + | 0.00407502i | ||||
\(51\) | 0.171302 | + | 1.62983i | 0.0239871 | + | 0.228222i | ||||
\(52\) | −0.397769 | + | 3.78452i | −0.0551606 | + | 0.524818i | ||||
\(53\) | 2.15711 | − | 2.39572i | 0.296302 | − | 0.329077i | −0.576550 | − | 0.817062i | \(-0.695601\pi\) |
0.872852 | + | 0.487985i | \(0.162268\pi\) | |||||||
\(54\) | 0.153710 | − | 0.266234i | 0.0209173 | − | 0.0362298i | ||||
\(55\) | 5.99968 | + | 4.48196i | 0.808997 | + | 0.604347i | ||||
\(56\) | 3.08559 | + | 0.754745i | 0.412330 | + | 0.100857i | ||||
\(57\) | −1.75191 | − | 5.39182i | −0.232046 | − | 0.714164i | ||||
\(58\) | 1.74904 | − | 0.778721i | 0.229660 | − | 0.102251i | ||||
\(59\) | −0.350589 | − | 0.156092i | −0.0456428 | − | 0.0203215i | 0.383788 | − | 0.923421i | \(-0.374619\pi\) |
−0.429431 | + | 0.903100i | \(0.641286\pi\) | |||||||
\(60\) | −4.20858 | + | 0.894561i | −0.543325 | + | 0.115487i | ||||
\(61\) | 6.29866 | + | 6.99537i | 0.806461 | + | 0.895666i | 0.996282 | − | 0.0861529i | \(-0.0274574\pi\) |
−0.189821 | + | 0.981819i | \(0.560791\pi\) | |||||||
\(62\) | −1.63573 | + | 1.18843i | −0.207738 | + | 0.150930i | ||||
\(63\) | 2.60348 | − | 0.471029i | 0.328008 | − | 0.0593441i | ||||
\(64\) | −1.79857 | − | 5.53544i | −0.224822 | − | 0.691929i | ||||
\(65\) | −2.25467 | + | 3.90520i | −0.279657 | + | 0.484380i | ||||
\(66\) | 0.120034 | − | 1.01251i | 0.0147751 | − | 0.124631i | ||||
\(67\) | −1.85592 | − | 3.21455i | −0.226737 | − | 0.392719i | 0.730102 | − | 0.683338i | \(-0.239472\pi\) |
−0.956839 | + | 0.290618i | \(0.906139\pi\) | |||||||
\(68\) | −3.05449 | − | 0.649253i | −0.370412 | − | 0.0787334i | ||||
\(69\) | 5.31398 | + | 3.86083i | 0.639728 | + | 0.464790i | ||||
\(70\) | 1.45225 | + | 1.12424i | 0.173577 | + | 0.134373i | ||||
\(71\) | 4.60253 | − | 14.1651i | 0.546219 | − | 1.68109i | −0.171854 | − | 0.985122i | \(-0.554976\pi\) |
0.718073 | − | 0.695968i | \(-0.245024\pi\) | |||||||
\(72\) | 0.803376 | + | 0.892240i | 0.0946788 | + | 0.105151i | ||||
\(73\) | −13.7812 | − | 6.13579i | −1.61297 | − | 0.718140i | −0.615426 | − | 0.788194i | \(-0.711016\pi\) |
−0.997543 | + | 0.0700541i | \(0.977683\pi\) | |||||||
\(74\) | −0.315662 | + | 3.00333i | −0.0366950 | + | 0.349130i | ||||
\(75\) | −0.0964007 | − | 0.0204906i | −0.0111314 | − | 0.00236605i | ||||
\(76\) | 10.8028 | 1.23917 | ||||||||
\(77\) | 7.31780 | − | 4.84249i | 0.833941 | − | 0.551853i | ||||
\(78\) | 0.613933 | 0.0695142 | ||||||||
\(79\) | −1.93625 | − | 0.411564i | −0.217846 | − | 0.0463045i | 0.0976958 | − | 0.995216i | \(-0.468853\pi\) |
−0.315541 | + | 0.948912i | \(0.602186\pi\) | |||||||
\(80\) | 0.812372 | − | 7.72920i | 0.0908260 | − | 0.864151i | ||||
\(81\) | 0.913545 | + | 0.406737i | 0.101505 | + | 0.0451930i | ||||
\(82\) | −1.47174 | − | 1.63454i | −0.162527 | − | 0.180504i | ||||
\(83\) | −1.80359 | + | 5.55089i | −0.197970 | + | 0.609290i | 0.801959 | + | 0.597379i | \(0.203791\pi\) |
−0.999929 | + | 0.0119105i | \(0.996209\pi\) | |||||||
\(84\) | −0.679395 | + | 4.99547i | −0.0741281 | + | 0.545051i | ||||
\(85\) | −2.99370 | − | 2.17505i | −0.324713 | − | 0.235918i | ||||
\(86\) | −1.77003 | − | 0.376232i | −0.190868 | − | 0.0405702i | ||||
\(87\) | 3.11391 | + | 5.39346i | 0.333847 | + | 0.578239i | ||||
\(88\) | 3.61593 | + | 1.66780i | 0.385460 | + | 0.177789i | ||||
\(89\) | 4.24164 | − | 7.34673i | 0.449612 | − | 0.778752i | −0.548748 | − | 0.835988i | \(-0.684895\pi\) |
0.998361 | + | 0.0572360i | \(0.0182288\pi\) | |||||||
\(90\) | 0.214505 | + | 0.660179i | 0.0226108 | + | 0.0695890i | ||||
\(91\) | 3.41429 | + | 4.03238i | 0.357914 | + | 0.422708i | ||||
\(92\) | −10.1258 | + | 7.35679i | −1.05568 | + | 0.766998i | ||||
\(93\) | −4.40080 | − | 4.88759i | −0.456342 | − | 0.506819i | ||||
\(94\) | −2.42508 | + | 0.515468i | −0.250128 | + | 0.0531664i | ||||
\(95\) | 11.6945 | + | 5.20674i | 1.19983 | + | 0.534200i | ||||
\(96\) | −3.16028 | + | 1.40705i | −0.322545 | + | 0.143606i | ||||
\(97\) | −2.84952 | − | 8.76992i | −0.289325 | − | 0.890450i | −0.985069 | − | 0.172161i | \(-0.944925\pi\) |
0.695744 | − | 0.718290i | \(-0.255075\pi\) | |||||||
\(98\) | 1.81472 | − | 1.15656i | 0.183314 | − | 0.116831i | ||||
\(99\) | 3.31633 | + | 0.0440453i | 0.333304 | + | 0.00442672i | ||||
\(100\) | 0.0938973 | − | 0.162635i | 0.00938973 | − | 0.0162635i | ||||
\(101\) | −10.0363 | + | 11.1464i | −0.998647 | + | 1.10911i | −0.00461856 | + | 0.999989i | \(0.501470\pi\) |
−0.994029 | + | 0.109121i | \(0.965197\pi\) | |||||||
\(102\) | −0.0526616 | + | 0.501042i | −0.00521428 | + | 0.0496105i | ||||
\(103\) | −0.831276 | − | 7.90906i | −0.0819080 | − | 0.779303i | −0.955965 | − | 0.293480i | \(-0.905187\pi\) |
0.874057 | − | 0.485823i | \(-0.161480\pi\) | |||||||
\(104\) | −0.740933 | + | 2.28036i | −0.0726545 | + | 0.223608i | ||||
\(105\) | −3.14320 | + | 5.08037i | −0.306745 | + | 0.495794i | ||||
\(106\) | 0.801774 | − | 0.582523i | 0.0778751 | − | 0.0565796i | ||||
\(107\) | −2.36805 | + | 1.05432i | −0.228928 | + | 0.101925i | −0.517995 | − | 0.855383i | \(-0.673322\pi\) |
0.289067 | + | 0.957309i | \(0.406655\pi\) | |||||||
\(108\) | −1.27502 | + | 1.41606i | −0.122689 | + | 0.136260i | ||||
\(109\) | −2.88773 | − | 5.00169i | −0.276594 | − | 0.479075i | 0.693942 | − | 0.720031i | \(-0.255872\pi\) |
−0.970536 | + | 0.240956i | \(0.922539\pi\) | |||||||
\(110\) | 1.51765 | + | 1.73121i | 0.144702 | + | 0.165064i | ||||
\(111\) | −9.82327 | −0.932383 | ||||||||
\(112\) | −8.20246 | − | 3.95548i | −0.775060 | − | 0.373758i | ||||
\(113\) | −0.120685 | − | 0.0876829i | −0.0113531 | − | 0.00824851i | 0.582094 | − | 0.813121i | \(-0.302233\pi\) |
−0.593447 | + | 0.804873i | \(0.702233\pi\) | |||||||
\(114\) | −0.182178 | − | 1.73331i | −0.0170625 | − | 0.162339i | ||||
\(115\) | −14.5074 | + | 3.08365i | −1.35282 | + | 0.287552i | ||||
\(116\) | −11.6078 | + | 2.46730i | −1.07775 | + | 0.229083i | ||||
\(117\) | 0.208748 | + | 1.98611i | 0.0192988 | + | 0.183616i | ||||
\(118\) | −0.0954461 | − | 0.0693456i | −0.00878652 | − | 0.00638378i | ||||
\(119\) | −3.58377 | + | 2.44057i | −0.328523 | + | 0.223727i | ||||
\(120\) | −2.71101 | −0.247480 | ||||||||
\(121\) | 10.1643 | − | 4.20564i | 0.924025 | − | 0.382331i | ||||
\(122\) | 1.44690 | + | 2.50611i | 0.130997 | + | 0.226893i | ||||
\(123\) | 4.78740 | − | 5.31695i | 0.431666 | − | 0.479413i | ||||
\(124\) | 11.4488 | − | 5.09732i | 1.02813 | − | 0.457753i | ||||
\(125\) | −8.95376 | + | 6.50529i | −0.800848 | + | 0.581850i | ||||
\(126\) | 0.812980 | + | 0.0247654i | 0.0724260 | + | 0.00220627i | ||||
\(127\) | −3.88632 | + | 11.9609i | −0.344856 | + | 1.06136i | 0.616806 | + | 0.787116i | \(0.288426\pi\) |
−0.961661 | + | 0.274241i | \(0.911574\pi\) | |||||||
\(128\) | −0.910233 | − | 8.66029i | −0.0804540 | − | 0.765469i | ||||
\(129\) | 0.615290 | − | 5.85409i | 0.0541733 | − | 0.515424i | ||||
\(130\) | −0.927589 | + | 1.03019i | −0.0813549 | + | 0.0903538i | ||||
\(131\) | 3.43525 | − | 5.95003i | 0.300139 | − | 0.519857i | −0.676028 | − | 0.736876i | \(-0.736300\pi\) |
0.976167 | + | 0.217019i | \(0.0696335\pi\) | |||||||
\(132\) | −2.03258 | + | 5.98403i | −0.176913 | + | 0.520843i | ||||
\(133\) | 10.3714 | − | 10.8361i | 0.899315 | − | 0.939606i | ||||
\(134\) | −0.352617 | − | 1.08524i | −0.0304615 | − | 0.0937508i | ||||
\(135\) | −2.06278 | + | 0.918410i | −0.177536 | + | 0.0790442i | ||||
\(136\) | −1.79749 | − | 0.800293i | −0.154133 | − | 0.0686245i | ||||
\(137\) | −11.2296 | + | 2.38692i | −0.959406 | + | 0.203928i | −0.660895 | − | 0.750478i | \(-0.729823\pi\) |
−0.298511 | + | 0.954406i | \(0.596490\pi\) | |||||||
\(138\) | 1.35116 | + | 1.50061i | 0.115018 | + | 0.127740i | ||||
\(139\) | 0.0207711 | − | 0.0150911i | 0.00176178 | − | 0.00128001i | −0.586904 | − | 0.809657i | \(-0.699653\pi\) |
0.588666 | + | 0.808377i | \(0.299653\pi\) | |||||||
\(140\) | −7.35601 | − | 8.68767i | −0.621696 | − | 0.734243i | ||||
\(141\) | −2.49214 | − | 7.67002i | −0.209876 | − | 0.645932i | ||||
\(142\) | 2.28937 | − | 3.96531i | 0.192120 | − | 0.332761i | ||||
\(143\) | 3.23526 | + | 5.77956i | 0.270546 | + | 0.483311i | ||||
\(144\) | −1.72094 | − | 2.98076i | −0.143412 | − | 0.248397i | ||||
\(145\) | −13.7551 | − | 2.92374i | −1.14230 | − | 0.242803i | ||||
\(146\) | −3.75187 | − | 2.72589i | −0.310507 | − | 0.225596i | ||||
\(147\) | 4.35859 | + | 5.47747i | 0.359491 | + | 0.451774i | ||||
\(148\) | 5.78423 | − | 17.8020i | 0.475461 | − | 1.46332i | ||||
\(149\) | 1.19575 | + | 1.32802i | 0.0979599 | + | 0.108795i | 0.790131 | − | 0.612938i | \(-0.210012\pi\) |
−0.692171 | + | 0.721733i | \(0.743346\pi\) | |||||||
\(150\) | −0.0276782 | − | 0.0123231i | −0.00225992 | − | 0.00100618i | ||||
\(151\) | −0.670138 | + | 6.37593i | −0.0545350 | + | 0.518866i | 0.932820 | + | 0.360342i | \(0.117340\pi\) |
−0.987355 | + | 0.158524i | \(0.949327\pi\) | |||||||
\(152\) | 6.65796 | + | 1.41519i | 0.540032 | + | 0.114787i | ||||
\(153\) | −1.63881 | −0.132490 | ||||||||
\(154\) | 2.50999 | − | 0.988422i | 0.202261 | − | 0.0796493i | ||||
\(155\) | 14.8506 | 1.19283 | ||||||||
\(156\) | −3.72221 | − | 0.791180i | −0.298015 | − | 0.0633451i | ||||
\(157\) | −0.260641 | + | 2.47984i | −0.0208014 | + | 0.197912i | −0.999987 | − | 0.00505350i | \(-0.998391\pi\) |
0.979186 | + | 0.202966i | \(0.0650581\pi\) | |||||||
\(158\) | −0.555930 | − | 0.247516i | −0.0442274 | − | 0.0196913i | ||||
\(159\) | 2.15711 | + | 2.39572i | 0.171070 | + | 0.189993i | ||||
\(160\) | 2.41380 | − | 7.42892i | 0.190828 | − | 0.587307i | ||||
\(161\) | −2.34195 | + | 17.2199i | −0.184571 | + | 1.35712i | ||||
\(162\) | 0.248708 | + | 0.180697i | 0.0195403 | + | 0.0141969i | ||||
\(163\) | 10.4068 | + | 2.21204i | 0.815124 | + | 0.173260i | 0.596566 | − | 0.802564i | \(-0.296531\pi\) |
0.218558 | + | 0.975824i | \(0.429865\pi\) | |||||||
\(164\) | 6.81658 | + | 11.8067i | 0.532285 | + | 0.921946i | ||||
\(165\) | −5.08454 | + | 5.49832i | −0.395831 | + | 0.428044i | ||||
\(166\) | −0.897137 | + | 1.55389i | −0.0696313 | + | 0.120605i | ||||
\(167\) | 2.64083 | + | 8.12765i | 0.204354 | + | 0.628936i | 0.999739 | + | 0.0228324i | \(0.00726842\pi\) |
−0.795386 | + | 0.606104i | \(0.792732\pi\) | |||||||
\(168\) | −1.07314 | + | 2.98980i | −0.0827948 | + | 0.230668i | ||||
\(169\) | 7.29069 | − | 5.29700i | 0.560823 | − | 0.407462i | ||||
\(170\) | −0.761192 | − | 0.845389i | −0.0583807 | − | 0.0648384i | ||||
\(171\) | 5.54541 | − | 1.17871i | 0.424068 | − | 0.0901384i | ||||
\(172\) | 10.2467 | + | 4.56211i | 0.781301 | + | 0.347858i | ||||
\(173\) | −15.3453 | + | 6.83217i | −1.16668 | + | 0.519440i | −0.896359 | − | 0.443330i | \(-0.853797\pi\) |
−0.270323 | + | 0.962770i | \(0.587130\pi\) | |||||||
\(174\) | 0.591631 | + | 1.82085i | 0.0448514 | + | 0.138039i | ||||
\(175\) | −0.0729881 | − | 0.250327i | −0.00551738 | − | 0.0189229i | ||||
\(176\) | −9.14537 | − | 6.83189i | −0.689359 | − | 0.514973i | ||||
\(177\) | 0.191884 | − | 0.332352i | 0.0144229 | − | 0.0249811i | ||||
\(178\) | 1.74504 | − | 1.93807i | 0.130797 | − | 0.145264i | ||||
\(179\) | 2.43960 | − | 23.2112i | 0.182344 | − | 1.73489i | −0.395256 | − | 0.918571i | \(-0.629344\pi\) |
0.577601 | − | 0.816319i | \(-0.303989\pi\) | |||||||
\(180\) | −0.449744 | − | 4.27903i | −0.0335219 | − | 0.318940i | ||||
\(181\) | 2.83082 | − | 8.71236i | 0.210413 | − | 0.647585i | −0.789035 | − | 0.614349i | \(-0.789419\pi\) |
0.999448 | − | 0.0332358i | \(-0.0105812\pi\) | |||||||
\(182\) | 0.768949 | + | 1.43077i | 0.0569983 | + | 0.106056i | ||||
\(183\) | −7.61544 | + | 5.53294i | −0.562950 | + | 0.409007i | ||||
\(184\) | −7.20445 | + | 3.20763i | −0.531119 | + | 0.236469i | ||||
\(185\) | 14.8419 | − | 16.4836i | 1.09120 | − | 1.21190i | ||||
\(186\) | −1.01094 | − | 1.75099i | −0.0741254 | − | 0.128389i | ||||
\(187\) | −4.99432 | + | 2.14460i | −0.365221 | + | 0.156829i | ||||
\(188\) | 15.3673 | 1.12078 | ||||||||
\(189\) | 0.196311 | + | 2.63846i | 0.0142795 | + | 0.191920i | ||||
\(190\) | 3.18377 | + | 2.31315i | 0.230975 | + | 0.167813i | ||||
\(191\) | 0.867433 | + | 8.25307i | 0.0627652 | + | 0.597171i | 0.980024 | + | 0.198879i | \(0.0637302\pi\) |
−0.917259 | + | 0.398292i | \(0.869603\pi\) | |||||||
\(192\) | 5.69311 | − | 1.21011i | 0.410865 | − | 0.0873321i | ||||
\(193\) | 1.38594 | − | 0.294591i | 0.0997622 | − | 0.0212051i | −0.157760 | − | 0.987477i | \(-0.550427\pi\) |
0.257522 | + | 0.966272i | \(0.417094\pi\) | |||||||
\(194\) | −0.296317 | − | 2.81926i | −0.0212743 | − | 0.202411i | ||||
\(195\) | −3.64813 | − | 2.65052i | −0.261248 | − | 0.189808i | ||||
\(196\) | −12.4929 | + | 4.67348i | −0.892351 | + | 0.333820i | ||||
\(197\) | −14.3611 | −1.02319 | −0.511594 | − | 0.859227i | \(-0.670945\pi\) | ||||
−0.511594 | + | 0.859227i | \(0.670945\pi\) | |||||||
\(198\) | 0.994413 | + | 0.225212i | 0.0706699 | + | 0.0160051i | ||||
\(199\) | 3.32092 | + | 5.75201i | 0.235414 | + | 0.407749i | 0.959393 | − | 0.282073i | \(-0.0910220\pi\) |
−0.723979 | + | 0.689822i | \(0.757689\pi\) | |||||||
\(200\) | 0.0791762 | − | 0.0879341i | 0.00559860 | − | 0.00621788i | ||||
\(201\) | 3.39093 | − | 1.50974i | 0.239178 | − | 0.106489i | ||||
\(202\) | −3.73037 | + | 2.71027i | −0.262468 | + | 0.190694i | ||||
\(203\) | −8.66931 | + | 14.0123i | −0.608466 | + | 0.983469i | ||||
\(204\) | 0.964977 | − | 2.96990i | 0.0675619 | − | 0.207934i | ||||
\(205\) | 1.68868 | + | 16.0667i | 0.117943 | + | 1.12215i | ||||
\(206\) | 0.255551 | − | 2.43140i | 0.0178051 | − | 0.169404i | ||||
\(207\) | −4.39515 | + | 4.88130i | −0.305484 | + | 0.339274i | ||||
\(208\) | 3.43681 | − | 5.95273i | 0.238300 | − | 0.412748i | ||||
\(209\) | 15.3573 | − | 10.8491i | 1.06229 | − | 0.750447i | ||||
\(210\) | −1.26988 | + | 1.32678i | −0.0876303 | + | 0.0915564i | ||||
\(211\) | 6.53482 | + | 20.1121i | 0.449875 | + | 1.38457i | 0.877048 | + | 0.480403i | \(0.159510\pi\) |
−0.427172 | + | 0.904170i | \(0.640490\pi\) | |||||||
\(212\) | −5.61176 | + | 2.49852i | −0.385418 | + | 0.171599i | ||||
\(213\) | 13.6064 | + | 6.05797i | 0.932297 | + | 0.415085i | ||||
\(214\) | −0.779466 | + | 0.165681i | −0.0532832 | + | 0.0113257i | ||||
\(215\) | 8.89364 | + | 9.87739i | 0.606541 | + | 0.673632i | ||||
\(216\) | −0.971327 | + | 0.705711i | −0.0660905 | + | 0.0480175i | ||||
\(217\) | 5.87856 | − | 16.3778i | 0.399062 | − | 1.11180i | ||||
\(218\) | −0.548657 | − | 1.68859i | −0.0371597 | − | 0.114366i | ||||
\(219\) | 7.54271 | − | 13.0644i | 0.509689 | − | 0.882807i | ||||
\(220\) | −6.97030 | − | 12.4519i | −0.469938 | − | 0.839510i | ||||
\(221\) | −1.63639 | − | 2.83431i | −0.110075 | − | 0.190656i | ||||
\(222\) | −2.95388 | − | 0.627866i | −0.198251 | − | 0.0421396i | ||||
\(223\) | 4.08950 | + | 2.97120i | 0.273854 | + | 0.198966i | 0.716232 | − | 0.697862i | \(-0.245865\pi\) |
−0.442379 | + | 0.896828i | \(0.645865\pi\) | |||||||
\(224\) | −7.23737 | − | 5.60273i | −0.483567 | − | 0.374348i | ||||
\(225\) | 0.0304550 | − | 0.0937307i | 0.00203033 | − | 0.00624872i | ||||
\(226\) | −0.0306859 | − | 0.0340802i | −0.00204120 | − | 0.00226698i | ||||
\(227\) | 10.0272 | + | 4.46438i | 0.665525 | + | 0.296311i | 0.711556 | − | 0.702629i | \(-0.247991\pi\) |
−0.0460310 | + | 0.998940i | \(0.514657\pi\) | |||||||
\(228\) | −1.12920 | + | 10.7436i | −0.0747831 | + | 0.711514i | ||||
\(229\) | 18.3630 | + | 3.90318i | 1.21346 | + | 0.257930i | 0.769812 | − | 0.638270i | \(-0.220350\pi\) |
0.443651 | + | 0.896200i | \(0.353683\pi\) | |||||||
\(230\) | −4.55951 | −0.300645 | ||||||||
\(231\) | 4.05105 | + | 7.78390i | 0.266539 | + | 0.512143i | ||||
\(232\) | −7.47730 | −0.490908 | ||||||||
\(233\) | −5.73002 | − | 1.21795i | −0.375386 | − | 0.0797907i | 0.0163552 | − | 0.999866i | \(-0.494794\pi\) |
−0.391741 | + | 0.920076i | \(0.628127\pi\) | |||||||
\(234\) | −0.0641735 | + | 0.610570i | −0.00419515 | + | 0.0399142i | ||||
\(235\) | 16.6358 | + | 7.40674i | 1.08520 | + | 0.483162i | ||||
\(236\) | 0.489313 | + | 0.543437i | 0.0318515 | + | 0.0353747i | ||||
\(237\) | 0.611703 | − | 1.88263i | 0.0397344 | − | 0.122290i | ||||
\(238\) | −1.23364 | + | 0.504825i | −0.0799649 | + | 0.0327229i | ||||
\(239\) | 20.5004 | + | 14.8944i | 1.32606 | + | 0.963441i | 0.999835 | + | 0.0181490i | \(0.00577732\pi\) |
0.326227 | + | 0.945292i | \(0.394223\pi\) | |||||||
\(240\) | 7.60195 | + | 1.61584i | 0.490704 | + | 0.104302i | ||||
\(241\) | 0.880956 | + | 1.52586i | 0.0567473 | + | 0.0982893i | 0.893004 | − | 0.450050i | \(-0.148594\pi\) |
−0.836256 | + | 0.548339i | \(0.815260\pi\) | |||||||
\(242\) | 3.32523 | − | 0.614984i | 0.213754 | − | 0.0395327i | ||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −5.54277 | − | 17.0589i | −0.354840 | − | 1.09208i | ||||
\(245\) | −15.7767 | − | 0.962085i | −1.00793 | − | 0.0614654i | ||||
\(246\) | 1.77942 | − | 1.29283i | 0.113452 | − | 0.0824276i | ||||
\(247\) | 7.57580 | + | 8.41378i | 0.482037 | + | 0.535356i | ||||
\(248\) | 7.72385 | − | 1.64175i | 0.490465 | − | 0.104251i | ||||
\(249\) | −5.33196 | − | 2.37394i | −0.337899 | − | 0.150442i | ||||
\(250\) | −3.10821 | + | 1.38386i | −0.196580 | + | 0.0875232i | ||||
\(251\) | 0.560761 | + | 1.72584i | 0.0353949 | + | 0.108934i | 0.967193 | − | 0.254043i | \(-0.0817604\pi\) |
−0.931798 | + | 0.362977i | \(0.881760\pi\) | |||||||
\(252\) | −4.89709 | − | 1.19784i | −0.308488 | − | 0.0754570i | ||||
\(253\) | −7.00651 | + | 20.6276i | −0.440495 | + | 1.29685i | ||||
\(254\) | −1.93312 | + | 3.34826i | −0.121295 | + | 0.210089i | ||||
\(255\) | 2.47606 | − | 2.74995i | 0.155057 | − | 0.172208i | ||||
\(256\) | −0.936950 | + | 8.91449i | −0.0585594 | + | 0.557155i | ||||
\(257\) | 0.0410324 | + | 0.390397i | 0.00255953 | + | 0.0243523i | 0.995727 | − | 0.0923445i | \(-0.0294361\pi\) |
−0.993168 | + | 0.116697i | \(0.962769\pi\) | |||||||
\(258\) | 0.559190 | − | 1.72101i | 0.0348137 | − | 0.107145i | ||||
\(259\) | −12.3036 | − | 22.8932i | −0.764509 | − | 1.42251i | ||||
\(260\) | 6.95148 | − | 5.05055i | 0.431113 | − | 0.313222i | ||||
\(261\) | −5.68940 | + | 2.53309i | −0.352165 | + | 0.156794i | ||||
\(262\) | 1.41329 | − | 1.56962i | 0.0873134 | − | 0.0969714i | ||||
\(263\) | 0.210710 | + | 0.364960i | 0.0129929 | + | 0.0225044i | 0.872449 | − | 0.488706i | \(-0.162531\pi\) |
−0.859456 | + | 0.511210i | \(0.829197\pi\) | |||||||
\(264\) | −2.03664 | + | 3.42179i | −0.125346 | + | 0.210597i | ||||
\(265\) | −7.27923 | −0.447160 | ||||||||
\(266\) | 3.81130 | − | 2.59553i | 0.233686 | − | 0.159142i | ||||
\(267\) | 6.86311 | + | 4.98634i | 0.420016 | + | 0.305159i | ||||
\(268\) | 0.739317 | + | 7.03414i | 0.0451610 | + | 0.429678i | ||||
\(269\) | 0.968172 | − | 0.205791i | 0.0590305 | − | 0.0125473i | −0.178302 | − | 0.983976i | \(-0.557060\pi\) |
0.237332 | + | 0.971429i | \(0.423727\pi\) | |||||||
\(270\) | −0.678985 | + | 0.144323i | −0.0413217 | + | 0.00878320i | ||||
\(271\) | −2.16837 | − | 20.6306i | −0.131719 | − | 1.25322i | −0.838150 | − | 0.545440i | \(-0.816363\pi\) |
0.706431 | − | 0.707782i | \(-0.250304\pi\) | |||||||
\(272\) | 4.56333 | + | 3.31545i | 0.276693 | + | 0.201029i | ||||
\(273\) | −4.36718 | + | 2.97408i | −0.264314 | + | 0.180000i | ||||
\(274\) | −3.52932 | −0.213214 | ||||||||
\(275\) | −0.0298469 | − | 0.325502i | −0.00179984 | − | 0.0196285i | ||||
\(276\) | −6.25806 | − | 10.8393i | −0.376691 | − | 0.652448i | ||||
\(277\) | 16.2369 | − | 18.0329i | 0.975579 | − | 1.08349i | −0.0209117 | − | 0.999781i | \(-0.506657\pi\) |
0.996490 | − | 0.0837085i | \(-0.0266764\pi\) | |||||||
\(278\) | 0.00721048 | − | 0.00321031i | 0.000432456 | − | 0.000192542i | ||||
\(279\) | 5.32082 | − | 3.86580i | 0.318549 | − | 0.231440i | ||||
\(280\) | −3.39553 | − | 6.31803i | −0.202922 | − | 0.377574i | ||||
\(281\) | −4.53606 | + | 13.9606i | −0.270599 | + | 0.832818i | 0.719752 | + | 0.694232i | \(0.244256\pi\) |
−0.990350 | + | 0.138586i | \(0.955744\pi\) | |||||||
\(282\) | −0.259153 | − | 2.46568i | −0.0154324 | − | 0.146829i | ||||
\(283\) | 0.697830 | − | 6.63941i | 0.0414817 | − | 0.394672i | −0.954006 | − | 0.299786i | \(-0.903085\pi\) |
0.995488 | − | 0.0948858i | \(-0.0302486\pi\) | |||||||
\(284\) | −18.9903 | + | 21.0909i | −1.12687 | + | 1.25151i | ||||
\(285\) | −6.40063 | + | 11.0862i | −0.379140 | + | 0.656691i | ||||
\(286\) | 0.603443 | + | 1.94471i | 0.0356823 | + | 0.114993i | ||||
\(287\) | 18.3874 | + | 4.49761i | 1.08537 | + | 0.265485i | ||||
\(288\) | −1.06900 | − | 3.29005i | −0.0629915 | − | 0.193868i | ||||
\(289\) | −13.0768 | + | 5.82216i | −0.769222 | + | 0.342480i | ||||
\(290\) | −3.94932 | − | 1.75835i | −0.231912 | − | 0.103254i | ||||
\(291\) | 9.01973 | − | 1.91720i | 0.528746 | − | 0.112388i | ||||
\(292\) | 19.2343 | + | 21.3618i | 1.12560 | + | 1.25011i | ||||
\(293\) | 18.0644 | − | 13.1246i | 1.05534 | − | 0.766747i | 0.0821164 | − | 0.996623i | \(-0.473832\pi\) |
0.973220 | + | 0.229876i | \(0.0738321\pi\) | |||||||
\(294\) | 0.960539 | + | 1.92567i | 0.0560197 | + | 0.112307i | ||||
\(295\) | 0.267777 | + | 0.824134i | 0.0155906 | + | 0.0479830i | ||||
\(296\) | 5.89704 | − | 10.2140i | 0.342758 | − | 0.593675i | ||||
\(297\) | −0.390455 | + | 3.29356i | −0.0226565 | + | 0.191112i | ||||
\(298\) | 0.274684 | + | 0.475766i | 0.0159120 | + | 0.0275604i | ||||
\(299\) | −12.8309 | − | 2.72728i | −0.742027 | − | 0.157723i | ||||
\(300\) | 0.151929 | + | 0.110383i | 0.00877163 | + | 0.00637296i | ||||
\(301\) | 14.4136 | − | 5.89829i | 0.830788 | − | 0.339972i | ||||
\(302\) | −0.609037 | + | 1.87442i | −0.0350462 | + | 0.107861i | ||||
\(303\) | −10.0363 | − | 11.1464i | −0.576569 | − | 0.640345i | ||||
\(304\) | −17.8261 | − | 7.93669i | −1.02240 | − | 0.455200i | ||||
\(305\) | 2.22175 | − | 21.1386i | 0.127217 | − | 1.21039i | ||||
\(306\) | −0.492792 | − | 0.104746i | −0.0281711 | − | 0.00598795i | ||||
\(307\) | −21.1755 | −1.20855 | −0.604275 | − | 0.796776i | \(-0.706537\pi\) | ||||
−0.604275 | + | 0.796776i | \(0.706537\pi\) | |||||||
\(308\) | −16.4916 | + | 2.75805i | −0.939696 | + | 0.157154i | ||||
\(309\) | 7.95263 | 0.452409 | ||||||||
\(310\) | 4.46562 | + | 0.949196i | 0.253630 | + | 0.0539107i | ||||
\(311\) | 2.81595 | − | 26.7920i | 0.159678 | − | 1.51923i | −0.562078 | − | 0.827085i | \(-0.689998\pi\) |
0.721755 | − | 0.692148i | \(-0.243336\pi\) | |||||||
\(312\) | −2.19042 | − | 0.975237i | −0.124008 | − | 0.0552119i | ||||
\(313\) | −1.70023 | − | 1.88830i | −0.0961027 | − | 0.106733i | 0.693175 | − | 0.720769i | \(-0.256211\pi\) |
−0.789278 | + | 0.614037i | \(0.789545\pi\) | |||||||
\(314\) | −0.236877 | + | 0.729033i | −0.0133678 | + | 0.0411417i | ||||
\(315\) | −4.72399 | − | 3.65702i | −0.266167 | − | 0.206050i | ||||
\(316\) | 3.05157 | + | 2.21709i | 0.171664 | + | 0.124721i | ||||
\(317\) | −25.2405 | − | 5.36503i | −1.41765 | − | 0.301330i | −0.565550 | − | 0.824714i | \(-0.691336\pi\) |
−0.852097 | + | 0.523384i | \(0.824669\pi\) | |||||||
\(318\) | 0.495523 | + | 0.858272i | 0.0277876 | + | 0.0481295i | ||||
\(319\) | −14.0238 | + | 15.1650i | −0.785180 | + | 0.849078i | ||||
\(320\) | −6.57111 | + | 11.3815i | −0.367336 | + | 0.636245i | ||||
\(321\) | −0.801019 | − | 2.46528i | −0.0447085 | − | 0.137599i | ||||
\(322\) | −1.80486 | + | 5.02838i | −0.100581 | + | 0.280221i | ||||
\(323\) | −7.51647 | + | 5.46104i | −0.418228 | + | 0.303860i | ||||
\(324\) | −1.27502 | − | 1.41606i | −0.0708346 | − | 0.0786698i | ||||
\(325\) | 0.192517 | − | 0.0409207i | 0.0106789 | − | 0.00226987i | ||||
\(326\) | 2.98797 | + | 1.33033i | 0.165488 | + | 0.0736801i | ||||
\(327\) | 5.27614 | − | 2.34909i | 0.291771 | − | 0.129905i | ||||
\(328\) | 2.65448 | + | 8.16965i | 0.146569 | + | 0.451094i | ||||
\(329\) | 14.7536 | − | 15.4146i | 0.813394 | − | 0.849836i | ||||
\(330\) | −1.88036 | + | 1.32837i | −0.103511 | + | 0.0731245i | ||||
\(331\) | 1.33321 | − | 2.30918i | 0.0732797 | − | 0.126924i | −0.827057 | − | 0.562118i | \(-0.809987\pi\) |
0.900337 | + | 0.435194i | \(0.143320\pi\) | |||||||
\(332\) | 7.44175 | − | 8.26490i | 0.408419 | − | 0.453595i | ||||
\(333\) | 1.02681 | − | 9.76946i | 0.0562689 | − | 0.535363i | ||||
\(334\) | 0.274616 | + | 2.61279i | 0.0150263 | + | 0.142966i | ||||
\(335\) | −2.58997 | + | 7.97111i | −0.141505 | + | 0.435508i | ||||
\(336\) | 4.79121 | − | 7.74407i | 0.261382 | − | 0.422473i | ||||
\(337\) | −20.4033 | + | 14.8238i | −1.11144 | + | 0.807506i | −0.982889 | − | 0.184197i | \(-0.941031\pi\) |
−0.128547 | + | 0.991703i | \(0.541031\pi\) | |||||||
\(338\) | 2.53089 | − | 1.12683i | 0.137662 | − | 0.0612912i | ||||
\(339\) | 0.0998176 | − | 0.110859i | 0.00542135 | − | 0.00602102i | ||||
\(340\) | 3.52556 | + | 6.10645i | 0.191200 | + | 0.331169i | ||||
\(341\) | 11.1565 | − | 18.7442i | 0.604156 | − | 1.01506i | ||||
\(342\) | 1.74285 | 0.0942428 | ||||||||
\(343\) | −7.30615 | + | 17.0182i | −0.394495 | + | 0.918898i | ||||
\(344\) | 5.71756 | + | 4.15405i | 0.308270 | + | 0.223971i | ||||
\(345\) | −1.55032 | − | 14.7503i | −0.0834663 | − | 0.794128i | ||||
\(346\) | −5.05105 | + | 1.07363i | −0.271546 | + | 0.0577189i | ||||
\(347\) | −15.1692 | + | 3.22431i | −0.814325 | + | 0.173090i | −0.596205 | − | 0.802832i | \(-0.703326\pi\) |
−0.218119 | + | 0.975922i | \(0.569992\pi\) | |||||||
\(348\) | −1.24045 | − | 11.8021i | −0.0664950 | − | 0.632657i | ||||
\(349\) | −1.52886 | − | 1.11078i | −0.0818380 | − | 0.0594588i | 0.546114 | − | 0.837711i | \(-0.316107\pi\) |
−0.627952 | + | 0.778252i | \(0.716107\pi\) | |||||||
\(350\) | −0.00594774 | − | 0.0799389i | −0.000317920 | − | 0.00427291i | ||||
\(351\) | −1.99705 | −0.106595 | ||||||||
\(352\) | −7.56329 | − | 8.62760i | −0.403125 | − | 0.459853i | ||||
\(353\) | −0.150952 | − | 0.261456i | −0.00803435 | − | 0.0139159i | 0.861980 | − | 0.506942i | \(-0.169224\pi\) |
−0.870015 | + | 0.493026i | \(0.835891\pi\) | |||||||
\(354\) | 0.0789426 | − | 0.0876746i | 0.00419575 | − | 0.00465985i | ||||
\(355\) | −30.7233 | + | 13.6789i | −1.63062 | + | 0.726000i | ||||
\(356\) | −13.0776 | + | 9.50144i | −0.693112 | + | 0.503575i | ||||
\(357\) | −2.05260 | − | 3.81924i | −0.108635 | − | 0.202136i | ||||
\(358\) | 2.21717 | − | 6.82374i | 0.117181 | − | 0.360646i | ||||
\(359\) | −3.06004 | − | 29.1143i | −0.161503 | − | 1.53659i | −0.712252 | − | 0.701924i | \(-0.752325\pi\) |
0.550750 | − | 0.834670i | \(-0.314342\pi\) | |||||||
\(360\) | 0.283378 | − | 2.69616i | 0.0149353 | − | 0.142100i | ||||
\(361\) | 8.79298 | − | 9.76559i | 0.462788 | − | 0.513979i | ||||
\(362\) | 1.40809 | − | 2.43889i | 0.0740078 | − | 0.128185i | ||||
\(363\) | 3.12015 | + | 10.5482i | 0.163765 | + | 0.553637i | ||||
\(364\) | −2.81820 | − | 9.66557i | −0.147714 | − | 0.506614i | ||||
\(365\) | 10.5260 | + | 32.3957i | 0.550956 | + | 1.69567i | ||||
\(366\) | −2.64362 | + | 1.17702i | −0.138184 | + | 0.0615237i | ||||
\(367\) | −7.86134 | − | 3.50009i | −0.410359 | − | 0.182703i | 0.191166 | − | 0.981558i | \(-0.438773\pi\) |
−0.601525 | + | 0.798854i | \(0.705440\pi\) | |||||||
\(368\) | 22.1138 | − | 4.70044i | 1.15276 | − | 0.245027i | ||||
\(369\) | 4.78740 | + | 5.31695i | 0.249222 | + | 0.276789i | ||||
\(370\) | 5.51657 | − | 4.00803i | 0.286793 | − | 0.208367i | ||||
\(371\) | −2.88145 | + | 8.02779i | −0.149598 | + | 0.416782i | ||||
\(372\) | 3.87267 | + | 11.9189i | 0.200789 | + | 0.617964i | ||||
\(373\) | −16.2298 | + | 28.1108i | −0.840345 | + | 1.45552i | 0.0492588 | + | 0.998786i | \(0.484314\pi\) |
−0.889603 | + | 0.456734i | \(0.849019\pi\) | |||||||
\(374\) | −1.63888 | + | 0.325668i | −0.0847443 | + | 0.0168399i | ||||
\(375\) | −5.53373 | − | 9.58470i | −0.285760 | − | 0.494952i | ||||
\(376\) | 9.47115 | + | 2.01316i | 0.488437 | + | 0.103821i | ||||
\(377\) | −10.0620 | − | 7.31045i | −0.518218 | − | 0.376507i | ||||
\(378\) | −0.109609 | + | 0.805938i | −0.00563769 | + | 0.0414530i | ||||
\(379\) | −7.13465 | + | 21.9582i | −0.366482 | + | 1.12792i | 0.582565 | + | 0.812784i | \(0.302049\pi\) |
−0.949048 | + | 0.315133i | \(0.897951\pi\) | |||||||
\(380\) | −16.3219 | − | 18.1273i | −0.837296 | − | 0.929911i | ||||
\(381\) | −11.4891 | − | 5.11529i | −0.588606 | − | 0.262064i | ||||
\(382\) | −0.266666 | + | 2.53716i | −0.0136438 | + | 0.129812i | ||||
\(383\) | −1.11473 | − | 0.236944i | −0.0569602 | − | 0.0121073i | 0.179343 | − | 0.983787i | \(-0.442603\pi\) |
−0.236304 | + | 0.971679i | \(0.575936\pi\) | |||||||
\(384\) | 8.70800 | 0.444378 | ||||||||
\(385\) | −19.1822 | − | 4.96292i | −0.977617 | − | 0.252934i | ||||
\(386\) | 0.435584 | 0.0221707 | ||||||||
\(387\) | 5.75771 | + | 1.22384i | 0.292681 | + | 0.0622112i | ||||
\(388\) | −1.83667 | + | 17.4747i | −0.0932428 | + | 0.887146i | ||||
\(389\) | 1.09701 | + | 0.488420i | 0.0556206 | + | 0.0247639i | 0.434358 | − | 0.900740i | \(-0.356975\pi\) |
−0.378738 | + | 0.925504i | \(0.623642\pi\) | |||||||
\(390\) | −0.927589 | − | 1.03019i | −0.0469703 | − | 0.0521658i | ||||
\(391\) | 3.32638 | − | 10.2376i | 0.168222 | − | 0.517735i | ||||
\(392\) | −8.31185 | + | 1.24375i | −0.419812 | + | 0.0628187i | ||||
\(393\) | 5.55836 | + | 4.03838i | 0.280382 | + | 0.203709i | ||||
\(394\) | −4.31843 | − | 0.917910i | −0.217559 | − | 0.0462436i | ||||
\(395\) | 2.23487 | + | 3.87090i | 0.112448 | + | 0.194766i | ||||
\(396\) | −5.73878 | − | 2.64694i | −0.288385 | − | 0.133014i | ||||
\(397\) | −16.1180 | + | 27.9171i | −0.808938 | + | 1.40112i | 0.104663 | + | 0.994508i | \(0.466624\pi\) |
−0.913600 | + | 0.406613i | \(0.866710\pi\) | |||||||
\(398\) | 0.630962 | + | 1.94190i | 0.0316273 | + | 0.0973388i | ||||
\(399\) | 9.69260 | + | 11.4473i | 0.485237 | + | 0.573080i | ||||
\(400\) | −0.274429 | + | 0.199384i | −0.0137215 | + | 0.00996922i | ||||
\(401\) | −9.70780 | − | 10.7816i | −0.484784 | − | 0.538408i | 0.450279 | − | 0.892888i | \(-0.351324\pi\) |
−0.935063 | + | 0.354480i | \(0.884658\pi\) | |||||||
\(402\) | 1.11616 | − | 0.237247i | 0.0556689 | − | 0.0118328i | ||||
\(403\) | 11.9989 | + | 5.34224i | 0.597706 | + | 0.266116i | ||||
\(404\) | 26.1095 | − | 11.6247i | 1.29900 | − | 0.578351i | ||||
\(405\) | −0.697760 | − | 2.14748i | −0.0346720 | − | 0.106709i | ||||
\(406\) | −3.50249 | + | 3.65941i | −0.173826 | + | 0.181614i | ||||
\(407\) | −9.65542 | − | 31.1165i | −0.478602 | − | 1.54239i | ||||
\(408\) | 0.983797 | − | 1.70399i | 0.0487052 | − | 0.0843599i | ||||
\(409\) | 18.6225 | − | 20.6823i | 0.920822 | − | 1.02268i | −0.0788458 | − | 0.996887i | \(-0.525123\pi\) |
0.999667 | − | 0.0257892i | \(-0.00820986\pi\) | |||||||
\(410\) | −0.519134 | + | 4.93923i | −0.0256382 | + | 0.243931i | ||||
\(411\) | −1.20003 | − | 11.4175i | −0.0591932 | − | 0.563186i | ||||
\(412\) | −4.68274 | + | 14.4120i | −0.230702 | + | 0.710028i | ||||
\(413\) | 1.01488 | + | 0.0309158i | 0.0499391 | + | 0.00152127i | ||||
\(414\) | −1.63362 | + | 1.18690i | −0.0802883 | + | 0.0583328i | ||||
\(415\) | 12.0396 | − | 5.36035i | 0.590998 | − | 0.263129i | ||||
\(416\) | 4.62270 | − | 5.13402i | 0.226646 | − | 0.251716i | ||||
\(417\) | 0.0128372 | + | 0.0222348i | 0.000628643 | + | 0.00108884i | ||||
\(418\) | 5.31141 | − | 2.28076i | 0.259790 | − | 0.111556i | ||||
\(419\) | −38.6020 | −1.88583 | −0.942916 | − | 0.333031i | \(-0.891929\pi\) | ||||
−0.942916 | + | 0.333031i | \(0.891929\pi\) | |||||||
\(420\) | 9.40899 | − | 6.40760i | 0.459112 | − | 0.312659i | ||||
\(421\) | 21.0498 | + | 15.2936i | 1.02590 | + | 0.745362i | 0.967485 | − | 0.252930i | \(-0.0813941\pi\) |
0.0584188 | + | 0.998292i | \(0.481394\pi\) | |||||||
\(422\) | 0.679544 | + | 6.46543i | 0.0330797 | + | 0.314732i | ||||
\(423\) | 7.88851 | − | 1.67675i | 0.383552 | − | 0.0815265i | ||||
\(424\) | −3.78595 | + | 0.804727i | −0.183862 | + | 0.0390810i | ||||
\(425\) | 0.0168825 | + | 0.160627i | 0.000818924 | + | 0.00779154i | ||||
\(426\) | 3.70428 | + | 2.69132i | 0.179473 | + | 0.130395i | ||||
\(427\) | −22.4329 | − | 10.8178i | −1.08560 | − | 0.523512i | ||||
\(428\) | 4.93933 | 0.238752 | ||||||||
\(429\) | −6.08608 | + | 2.61341i | −0.293839 | + | 0.126177i | ||||
\(430\) | 2.04301 | + | 3.53860i | 0.0985228 | + | 0.170646i | ||||
\(431\) | 3.19073 | − | 3.54366i | 0.153692 | − | 0.170692i | −0.661382 | − | 0.750049i | \(-0.730030\pi\) |
0.815074 | + | 0.579357i | \(0.196696\pi\) | |||||||
\(432\) | 3.14432 | − | 1.39994i | 0.151281 | − | 0.0673548i | ||||
\(433\) | 13.6207 | − | 9.89600i | 0.654568 | − | 0.475571i | −0.210256 | − | 0.977646i | \(-0.567430\pi\) |
0.864824 | + | 0.502075i | \(0.167430\pi\) | |||||||
\(434\) | 2.81450 | − | 4.54910i | 0.135100 | − | 0.218364i | ||||
\(435\) | 4.34553 | − | 13.3742i | 0.208352 | − | 0.641242i | ||||
\(436\) | 1.15034 | + | 10.9448i | 0.0550915 | + | 0.524161i | ||||
\(437\) | −3.89248 | + | 37.0344i | −0.186202 | + | 1.77160i | ||||
\(438\) | 3.10313 | − | 3.44638i | 0.148273 | − | 0.164674i | ||||
\(439\) | −0.404318 | + | 0.700299i | −0.0192970 | + | 0.0334235i | −0.875513 | − | 0.483195i | \(-0.839476\pi\) |
0.856216 | + | 0.516619i | \(0.172809\pi\) | |||||||
\(440\) | −2.66469 | − | 8.58749i | −0.127034 | − | 0.409392i | ||||
\(441\) | −5.90306 | + | 3.76216i | −0.281098 | + | 0.179151i | ||||
\(442\) | −0.310907 | − | 0.956874i | −0.0147883 | − | 0.0455139i | ||||
\(443\) | 13.8531 | − | 6.16778i | 0.658178 | − | 0.293040i | −0.0503401 | − | 0.998732i | \(-0.516031\pi\) |
0.708518 | + | 0.705692i | \(0.249364\pi\) | |||||||
\(444\) | 17.0999 | + | 7.61337i | 0.811525 | + | 0.361314i | ||||
\(445\) | −18.7366 | + | 3.98259i | −0.888201 | + | 0.188793i | ||||
\(446\) | 1.03982 | + | 1.15483i | 0.0492367 | + | 0.0546829i | ||||
\(447\) | −1.44573 | + | 1.05039i | −0.0683808 | + | 0.0496816i | ||||
\(448\) | 9.95077 | + | 11.7522i | 0.470130 | + | 0.555238i | ||||
\(449\) | −9.17630 | − | 28.2418i | −0.433056 | − | 1.33281i | −0.895065 | − | 0.445935i | \(-0.852871\pi\) |
0.462009 | − | 0.886875i | \(-0.347129\pi\) | |||||||
\(450\) | 0.0151488 | − | 0.0262385i | 0.000714121 | − | 0.00123689i | ||||
\(451\) | 21.5477 | + | 9.93862i | 1.01464 | + | 0.467991i | ||||
\(452\) | 0.142126 | + | 0.246170i | 0.00668505 | + | 0.0115788i | ||||
\(453\) | −6.27096 | − | 1.33293i | −0.294635 | − | 0.0626267i | ||||
\(454\) | 2.72984 | + | 1.98334i | 0.128118 | + | 0.0930830i | ||||
\(455\) | 1.60778 | − | 11.8217i | 0.0753740 | − | 0.554212i | ||||
\(456\) | −2.10339 | + | 6.47356i | −0.0985002 | + | 0.303152i | ||||
\(457\) | −1.85279 | − | 2.05773i | −0.0866699 | − | 0.0962567i | 0.698250 | − | 0.715854i | \(-0.253962\pi\) |
−0.784920 | + | 0.619598i | \(0.787296\pi\) | |||||||
\(458\) | 5.27233 | + | 2.34739i | 0.246360 | + | 0.109686i | ||||
\(459\) | 0.171302 | − | 1.62983i | 0.00799569 | − | 0.0760739i | ||||
\(460\) | 27.6438 | + | 5.87587i | 1.28890 | + | 0.273964i | ||||
\(461\) | 29.9943 | 1.39697 | 0.698487 | − | 0.715623i | \(-0.253857\pi\) | ||||
0.698487 | + | 0.715623i | \(0.253857\pi\) | |||||||
\(462\) | 0.720641 | + | 2.59956i | 0.0335273 | + | 0.120943i | ||||
\(463\) | −0.982020 | −0.0456383 | −0.0228192 | − | 0.999740i | \(-0.507264\pi\) | ||||
−0.0228192 | + | 0.999740i | \(0.507264\pi\) | |||||||
\(464\) | 20.9671 | + | 4.45669i | 0.973372 | + | 0.206897i | ||||
\(465\) | −1.55231 | + | 14.7693i | −0.0719868 | + | 0.684909i | ||||
\(466\) | −1.64518 | − | 0.732482i | −0.0762116 | − | 0.0339316i | ||||
\(467\) | 25.9396 | + | 28.8089i | 1.20034 | + | 1.33312i | 0.928751 | + | 0.370705i | \(0.120884\pi\) |
0.271593 | + | 0.962412i | \(0.412450\pi\) | |||||||
\(468\) | 1.17592 | − | 3.61912i | 0.0543570 | − | 0.167294i | ||||
\(469\) | 7.76559 | + | 6.01164i | 0.358582 | + | 0.277592i | ||||
\(470\) | 4.52901 | + | 3.29052i | 0.208908 | + | 0.151780i | ||||
\(471\) | −2.43901 | − | 0.518427i | −0.112383 | − | 0.0238879i | ||||
\(472\) | 0.230381 | + | 0.399031i | 0.0106041 | + | 0.0183669i | ||||
\(473\) | 19.1484 | − | 3.80506i | 0.880443 | − | 0.174957i | ||||
\(474\) | 0.304271 | − | 0.527012i | 0.0139756 | − | 0.0242065i | ||||
\(475\) | −0.172658 | − | 0.531387i | −0.00792210 | − | 0.0243817i | ||||
\(476\) | 8.12999 | − | 1.47090i | 0.372637 | − | 0.0674185i | ||||
\(477\) | −2.60807 | + | 1.89488i | −0.119415 | + | 0.0867604i | ||||
\(478\) | 5.21253 | + | 5.78910i | 0.238415 | + | 0.264787i | ||||
\(479\) | 12.0085 | − | 2.55249i | 0.548683 | − | 0.116626i | 0.0747747 | − | 0.997200i | \(-0.476176\pi\) |
0.473908 | + | 0.880574i | \(0.342843\pi\) | |||||||
\(480\) | 7.13591 | + | 3.17711i | 0.325708 | + | 0.145015i | ||||
\(481\) | 17.9215 | − | 7.97918i | 0.817151 | − | 0.363819i | ||||
\(482\) | 0.167378 | + | 0.515137i | 0.00762386 | + | 0.0234638i | ||||
\(483\) | −16.8808 | − | 4.12909i | −0.768103 | − | 0.187880i | ||||
\(484\) | −20.9530 | − | 0.556666i | −0.952410 | − | 0.0253030i | ||||
\(485\) | −10.4108 | + | 18.0320i | −0.472729 | + | 0.818790i | ||||
\(486\) | −0.205704 | + | 0.228458i | −0.00933093 | + | 0.0103630i | ||||
\(487\) | 4.20520 | − | 40.0098i | 0.190556 | − | 1.81302i | −0.313763 | − | 0.949501i | \(-0.601590\pi\) |
0.504319 | − | 0.863518i | \(-0.331744\pi\) | |||||||
\(488\) | −1.18135 | − | 11.2398i | −0.0534774 | − | 0.508803i | ||||
\(489\) | −3.28773 | + | 10.1186i | −0.148676 | + | 0.457578i | ||||
\(490\) | −4.68259 | − | 1.29769i | −0.211538 | − | 0.0586235i | ||||
\(491\) | 4.70152 | − | 3.41586i | 0.212177 | − | 0.154155i | −0.476621 | − | 0.879109i | \(-0.658139\pi\) |
0.688798 | + | 0.724953i | \(0.258139\pi\) | |||||||
\(492\) | −12.4545 | + | 5.54511i | −0.561493 | + | 0.249993i | ||||
\(493\) | 6.82928 | − | 7.58468i | 0.307575 | − | 0.341597i | ||||
\(494\) | 1.74028 | + | 3.01426i | 0.0782991 | + | 0.135618i | ||||
\(495\) | −4.93672 | − | 5.63142i | −0.221889 | − | 0.253113i | ||||
\(496\) | −22.6370 | −1.01643 | ||||||||
\(497\) | 2.92387 | + | 39.2974i | 0.131153 | + | 1.76273i | ||||
\(498\) | −1.45160 | − | 1.05465i | −0.0650477 | − | 0.0472599i | ||||
\(499\) | −4.26639 | − | 40.5920i | −0.190990 | − | 1.81715i | −0.499929 | − | 0.866066i | \(-0.666641\pi\) |
0.308940 | − | 0.951082i | \(-0.400026\pi\) | |||||||
\(500\) | 20.6281 | − | 4.38464i | 0.922517 | − | 0.196087i | ||||
\(501\) | −8.35917 | + | 1.77680i | −0.373460 | + | 0.0793814i | ||||
\(502\) | 0.0583125 | + | 0.554807i | 0.00260262 | + | 0.0247622i | ||||
\(503\) | −27.8501 | − | 20.2343i | −1.24178 | − | 0.902202i | −0.244060 | − | 0.969760i | \(-0.578479\pi\) |
−0.997715 | + | 0.0675578i | \(0.978479\pi\) | |||||||
\(504\) | −2.86125 | − | 1.37978i | −0.127450 | − | 0.0614604i | ||||
\(505\) | 33.8677 | 1.50709 | ||||||||
\(506\) | −3.42531 | + | 5.75493i | −0.152274 | + | 0.255838i | ||||
\(507\) | 4.50590 | + | 7.80444i | 0.200114 | + | 0.346607i | ||||
\(508\) | 16.0352 | − | 17.8089i | 0.711448 | − | 0.790143i | ||||
\(509\) | −13.5633 | + | 6.03876i | −0.601182 | + | 0.267663i | −0.684679 | − | 0.728845i | \(-0.740058\pi\) |
0.0834973 | + | 0.996508i | \(0.473391\pi\) | |||||||
\(510\) | 0.920324 | − | 0.668655i | 0.0407526 | − | 0.0296085i | ||||
\(511\) | 39.8938 | + | 1.21526i | 1.76480 | + | 0.0537600i | ||||
\(512\) | −6.23336 | + | 19.1843i | −0.275478 | + | 0.847835i | ||||
\(513\) | 0.592603 | + | 5.63824i | 0.0261640 | + | 0.248934i | ||||
\(514\) | −0.0126142 | + | 0.120016i | −0.000556388 | + | 0.00529368i | ||||
\(515\) | −12.0156 | + | 13.3447i | −0.529470 | + | 0.588036i | ||||
\(516\) | −5.60819 | + | 9.71367i | −0.246887 | + | 0.427620i | ||||
\(517\) | 21.8462 | − | 15.4332i | 0.960796 | − | 0.678749i | ||||
\(518\) | −2.23648 | − | 7.67043i | −0.0982651 | − | 0.337019i | ||||
\(519\) | −5.19072 | − | 15.9754i | −0.227847 | − | 0.701242i | ||||
\(520\) | 4.94596 | − | 2.20208i | 0.216895 | − | 0.0965677i | ||||
\(521\) | −26.0336 | − | 11.5909i | −1.14055 | − | 0.507807i | −0.252522 | − | 0.967591i | \(-0.581260\pi\) |
−0.888031 | + | 0.459784i | \(0.847927\pi\) | |||||||
\(522\) | −1.87272 | + | 0.398059i | −0.0819668 | + | 0.0174226i | ||||
\(523\) | −20.7112 | − | 23.0021i | −0.905637 | − | 1.00581i | −0.999947 | − | 0.0102690i | \(-0.996731\pi\) |
0.0943102 | − | 0.995543i | \(-0.469935\pi\) | |||||||
\(524\) | −10.5914 | + | 7.69511i | −0.462688 | + | 0.336162i | ||||
\(525\) | 0.256585 | − | 0.0464220i | 0.0111983 | − | 0.00202602i | ||||
\(526\) | 0.0400340 | + | 0.123212i | 0.00174557 | + | 0.00537230i | ||||
\(527\) | −5.38913 | + | 9.33425i | −0.234754 | + | 0.406606i | ||||
\(528\) | 7.75042 | − | 8.38115i | 0.337294 | − | 0.364743i | ||||
\(529\) | −10.0722 | − | 17.4456i | −0.437922 | − | 0.758504i | ||||
\(530\) | −2.18888 | − | 0.465261i | −0.0950789 | − | 0.0202096i | ||||
\(531\) | 0.310474 | + | 0.225573i | 0.0134734 | + | 0.00978903i | ||||
\(532\) | −26.4524 | + | 10.8247i | −1.14686 | + | 0.469312i | ||||
\(533\) | −4.41530 | + | 13.5889i | −0.191248 | + | 0.588601i | ||||
\(534\) | 1.74504 | + | 1.93807i | 0.0755154 | + | 0.0838684i | ||||
\(535\) | 5.34705 | + | 2.38066i | 0.231173 | + | 0.102925i | ||||
\(536\) | −0.465834 | + | 4.43212i | −0.0201210 | + | 0.191438i | ||||
\(537\) | 22.8291 | + | 4.85247i | 0.985148 | + | 0.209400i | ||||
\(538\) | 0.304285 | 0.0131187 | ||||||||
\(539\) | −13.0665 | + | 19.1903i | −0.562813 | + | 0.826584i | ||||
\(540\) | 4.30260 | 0.185154 | ||||||||
\(541\) | −27.7142 | − | 5.89083i | −1.19152 | − | 0.253266i | −0.430864 | − | 0.902417i | \(-0.641791\pi\) |
−0.760660 | + | 0.649150i | \(0.775125\pi\) | |||||||
\(542\) | 0.666600 | − | 6.34227i | 0.0286329 | − | 0.272424i | ||||
\(543\) | 8.36873 | + | 3.72600i | 0.359137 | + | 0.159898i | ||||
\(544\) | 3.79345 | + | 4.21305i | 0.162643 | + | 0.180633i | ||||
\(545\) | −4.02988 | + | 12.4027i | −0.172621 | + | 0.531273i | ||||
\(546\) | −1.50331 | + | 0.615180i | −0.0643359 | + | 0.0263273i | ||||
\(547\) | −16.0877 | − | 11.6884i | −0.687859 | − | 0.499759i | 0.188096 | − | 0.982151i | \(-0.439768\pi\) |
−0.875956 | + | 0.482391i | \(0.839768\pi\) | |||||||
\(548\) | 21.3978 | + | 4.54825i | 0.914071 | + | 0.194292i | ||||
\(549\) | −4.70660 | − | 8.15207i | −0.200873 | − | 0.347922i | ||||
\(550\) | 0.0118298 | − | 0.0997869i | 0.000504426 | − | 0.00425493i | ||||
\(551\) | −17.6537 | + | 30.5771i | −0.752072 | + | 1.30263i | ||||
\(552\) | −2.43698 | − | 7.50027i | −0.103725 | − | 0.319233i | ||||
\(553\) | 5.15363 | − | 0.932408i | 0.219154 | − | 0.0396500i | ||||
\(554\) | 6.03505 | − | 4.38472i | 0.256405 | − | 0.186289i | ||||
\(555\) | 14.8419 | + | 16.4836i | 0.630005 | + | 0.699691i | ||||
\(556\) | −0.0478535 | + | 0.0101716i | −0.00202944 | + | 0.000431371i | ||||
\(557\) | 33.1248 | + | 14.7481i | 1.40354 | + | 0.624898i | 0.962176 | − | 0.272428i | \(-0.0878268\pi\) |
0.441368 | + | 0.897326i | \(0.354493\pi\) | |||||||
\(558\) | 1.84707 | − | 0.822369i | 0.0781927 | − | 0.0348137i | ||||
\(559\) | 3.63259 | + | 11.1800i | 0.153642 | + | 0.472862i | ||||
\(560\) | 5.75568 | + | 19.7402i | 0.243222 | + | 0.834176i | ||||
\(561\) | −1.61080 | − | 5.19113i | −0.0680082 | − | 0.219170i | ||||
\(562\) | −2.25631 | + | 3.90805i | −0.0951767 | + | 0.164851i | ||||
\(563\) | −20.1979 | + | 22.4320i | −0.851240 | + | 0.945398i | −0.999048 | − | 0.0436181i | \(-0.986112\pi\) |
0.147808 | + | 0.989016i | \(0.452778\pi\) | |||||||
\(564\) | −1.60632 | + | 15.2831i | −0.0676383 | + | 0.643535i | ||||
\(565\) | 0.0352091 | + | 0.334992i | 0.00148126 | + | 0.0140932i | ||||
\(566\) | 0.634205 | − | 1.95188i | 0.0266576 | − | 0.0820437i | ||||
\(567\) | −2.64452 | − | 0.0805587i | −0.111060 | − | 0.00338315i | ||||
\(568\) | −14.4670 | + | 10.5109i | −0.607023 | + | 0.441028i | ||||
\(569\) | 19.9885 | − | 8.89945i | 0.837962 | − | 0.373085i | 0.0575439 | − | 0.998343i | \(-0.481673\pi\) |
0.780418 | + | 0.625258i | \(0.215006\pi\) | |||||||
\(570\) | −2.63327 | + | 2.92454i | −0.110296 | + | 0.122496i | ||||
\(571\) | 4.41362 | + | 7.64461i | 0.184704 | + | 0.319917i | 0.943477 | − | 0.331439i | \(-0.107534\pi\) |
−0.758773 | + | 0.651356i | \(0.774201\pi\) | |||||||
\(572\) | −1.15244 | − | 12.5682i | −0.0481861 | − | 0.525504i | ||||
\(573\) | −8.29853 | −0.346676 | ||||||||
\(574\) | 5.24166 | + | 2.52769i | 0.218783 | + | 0.105504i | ||||
\(575\) | 0.523716 | + | 0.380502i | 0.0218405 | + | 0.0158680i | ||||
\(576\) | 0.608387 | + | 5.78842i | 0.0253495 | + | 0.241184i | ||||
\(577\) | −2.96118 | + | 0.629418i | −0.123276 | + | 0.0262030i | −0.269136 | − | 0.963102i | \(-0.586738\pi\) |
0.145861 | + | 0.989305i | \(0.453405\pi\) | |||||||
\(578\) | −4.30435 | + | 0.914917i | −0.179037 | + | 0.0380555i | ||||
\(579\) | 0.148107 | + | 1.40914i | 0.00615511 | + | 0.0585619i | ||||
\(580\) | 21.6783 | + | 15.7502i | 0.900142 | + | 0.653991i | ||||
\(581\) | −1.14578 | − | 15.3995i | −0.0475349 | − | 0.638879i | ||||
\(582\) | 2.83479 | 0.117506 | ||||||||
\(583\) | −5.46849 | + | 9.18772i | −0.226482 | + | 0.380516i | ||||
\(584\) | 9.05598 | + | 15.6854i | 0.374739 | + | 0.649067i | ||||
\(585\) | 3.01733 | − | 3.35109i | 0.124751 | − | 0.138550i | ||||
\(586\) | 6.27089 | − | 2.79198i | 0.259048 | − | 0.115336i | ||||
\(587\) | 22.4145 | − | 16.2851i | 0.925144 | − | 0.672156i | −0.0196553 | − | 0.999807i | \(-0.506257\pi\) |
0.944799 | + | 0.327651i | \(0.106257\pi\) | |||||||
\(588\) | −3.34201 | − | 12.9130i | −0.137822 | − | 0.532523i | ||||
\(589\) | 11.5221 | − | 35.4615i | 0.474761 | − | 1.46116i | ||||
\(590\) | 0.0278457 | + | 0.264934i | 0.00114639 | + | 0.0109072i | ||||
\(591\) | 1.50115 | − | 14.2825i | 0.0617490 | − | 0.587502i | ||||
\(592\) | −22.6237 | + | 25.1262i | −0.929829 | + | 1.03268i | ||||
\(593\) | 5.12549 | − | 8.87762i | 0.210479 | − | 0.364560i | −0.741386 | − | 0.671079i | \(-0.765831\pi\) |
0.951864 | + | 0.306519i | \(0.0991644\pi\) | |||||||
\(594\) | −0.327923 | + | 0.965425i | −0.0134548 | + | 0.0396119i | ||||
\(595\) | 9.51003 | + | 2.32618i | 0.389873 | + | 0.0953641i | ||||
\(596\) | −1.05225 | − | 3.23850i | −0.0431020 | − | 0.132654i | ||||
\(597\) | −6.06763 | + | 2.70148i | −0.248332 | + | 0.110564i | ||||
\(598\) | −3.68395 | − | 1.64020i | −0.150648 | − | 0.0670727i | ||||
\(599\) | −14.0315 | + | 2.98248i | −0.573311 | + | 0.121861i | −0.485439 | − | 0.874271i | \(-0.661340\pi\) |
−0.0878723 | + | 0.996132i | \(0.528007\pi\) | |||||||
\(600\) | 0.0791762 | + | 0.0879341i | 0.00323236 | + | 0.00358989i | ||||
\(601\) | 13.8216 | − | 10.0420i | 0.563794 | − | 0.409621i | −0.269051 | − | 0.963126i | \(-0.586710\pi\) |
0.832846 | + | 0.553505i | \(0.186710\pi\) | |||||||
\(602\) | 4.71121 | − | 0.852364i | 0.192015 | − | 0.0347398i | ||||
\(603\) | 1.14702 | + | 3.53017i | 0.0467103 | + | 0.143760i | ||||
\(604\) | 6.10811 | − | 10.5796i | 0.248535 | − | 0.430476i | ||||
\(605\) | −22.4143 | − | 10.7016i | −0.911271 | − | 0.435081i | ||||
\(606\) | −2.30549 | − | 3.99323i | −0.0936543 | − | 0.162214i | ||||
\(607\) | −7.57314 | − | 1.60972i | −0.307384 | − | 0.0653366i | 0.0516369 | − | 0.998666i | \(-0.483556\pi\) |
−0.359021 | + | 0.933329i | \(0.616889\pi\) | |||||||
\(608\) | −15.8665 | − | 11.5277i | −0.643473 | − | 0.467511i | ||||
\(609\) | −13.0293 | − | 10.0865i | −0.527975 | − | 0.408726i | ||||
\(610\) | 2.01918 | − | 6.21440i | 0.0817543 | − | 0.251614i | ||||
\(611\) | 10.7768 | + | 11.9689i | 0.435983 | + | 0.484208i | ||||
\(612\) | 2.85276 | + | 1.27013i | 0.115316 | + | 0.0513420i | ||||
\(613\) | −0.275524 | + | 2.62143i | −0.0111283 | + | 0.105879i | −0.998676 | − | 0.0514409i | \(-0.983619\pi\) |
0.987548 | + | 0.157320i | \(0.0502853\pi\) | |||||||
\(614\) | −6.36752 | − | 1.35346i | −0.256972 | − | 0.0546212i | ||||
\(615\) | −16.1552 | −0.651441 | ||||||||
\(616\) | −10.5254 | − | 0.460606i | −0.424080 | − | 0.0185584i | ||||
\(617\) | 17.4152 | 0.701110 | 0.350555 | − | 0.936542i | \(-0.385993\pi\) | ||||
0.350555 | + | 0.936542i | \(0.385993\pi\) | |||||||
\(618\) | 2.39137 | + | 0.508302i | 0.0961951 | + | 0.0204469i | ||||
\(619\) | −0.877195 | + | 8.34595i | −0.0352574 | + | 0.335452i | 0.962648 | + | 0.270757i | \(0.0872741\pi\) |
−0.997905 | + | 0.0646949i | \(0.979393\pi\) | |||||||
\(620\) | −25.8513 | − | 11.5097i | −1.03821 | − | 0.462242i | ||||
\(621\) | −4.39515 | − | 4.88130i | −0.176371 | − | 0.195880i | ||||
\(622\) | 2.55920 | − | 7.87642i | 0.102615 | − | 0.315816i | ||||
\(623\) | −3.02467 | + | 22.2399i | −0.121181 | + | 0.891022i | ||||
\(624\) | 5.56088 | + | 4.04021i | 0.222613 | + | 0.161738i | ||||
\(625\) | 24.9262 | + | 5.29823i | 0.997048 | + | 0.211929i | ||||
\(626\) | −0.390570 | − | 0.676487i | −0.0156103 | − | 0.0270379i | ||||
\(627\) | 9.18438 | + | 16.4072i | 0.366789 | + | 0.655241i | ||||
\(628\) | 2.37567 | − | 4.11478i | 0.0947995 | − | 0.164198i | ||||
\(629\) | 4.97469 | + | 15.3105i | 0.198354 | + | 0.610470i | ||||
\(630\) | −1.18677 | − | 1.40161i | −0.0472821 | − | 0.0558416i | ||||
\(631\) | 23.9745 | − | 17.4185i | 0.954410 | − | 0.693419i | 0.00256384 | − | 0.999997i | \(-0.499184\pi\) |
0.951846 | + | 0.306578i | \(0.0991839\pi\) | |||||||
\(632\) | 1.59029 | + | 1.76620i | 0.0632584 | + | 0.0702556i | ||||
\(633\) | −20.6850 | + | 4.39673i | −0.822155 | + | 0.174754i | ||||
\(634\) | −7.24695 | − | 3.22655i | −0.287813 | − | 0.128143i | ||||
\(635\) | 25.9424 | − | 11.5503i | 1.02949 | − | 0.458360i | ||||
\(636\) | −1.89824 | − | 5.84219i | −0.0752702 | − | 0.231658i | ||||
\(637\) | −12.4010 | − | 6.45271i | −0.491345 | − | 0.255666i | ||||
\(638\) | −5.18627 | + | 3.66381i | −0.205326 | + | 0.145052i | ||||
\(639\) | −7.44704 | + | 12.8987i | −0.294600 | + | 0.510263i | ||||
\(640\) | −13.1569 | + | 14.6122i | −0.520071 | + | 0.577597i | ||||
\(641\) | 2.38372 | − | 22.6796i | 0.0941514 | − | 0.895791i | −0.840879 | − | 0.541223i | \(-0.817961\pi\) |
0.935030 | − | 0.354568i | \(-0.115372\pi\) | |||||||
\(642\) | −0.0832966 | − | 0.792514i | −0.00328746 | − | 0.0312781i | ||||
\(643\) | 2.46469 | − | 7.58553i | 0.0971979 | − | 0.299144i | −0.890622 | − | 0.454744i | \(-0.849731\pi\) |
0.987820 | + | 0.155599i | \(0.0497309\pi\) | |||||||
\(644\) | 17.4228 | − | 28.1606i | 0.686554 | − | 1.10968i | ||||
\(645\) | −10.7529 | + | 7.81245i | −0.423396 | + | 0.307615i | ||||
\(646\) | −2.60927 | + | 1.16172i | −0.102660 | + | 0.0457073i | ||||
\(647\) | 13.9561 | − | 15.4998i | 0.548670 | − | 0.609360i | −0.403481 | − | 0.914988i | \(-0.632200\pi\) |
0.952151 | + | 0.305628i | \(0.0988665\pi\) | |||||||
\(648\) | −0.600313 | − | 1.03977i | −0.0235825 | − | 0.0408462i | ||||
\(649\) | 1.24137 | + | 0.281143i | 0.0487282 | + | 0.0110358i | ||||
\(650\) | 0.0605058 | 0.00237323 | ||||||||
\(651\) | 15.6736 | + | 7.55830i | 0.614296 | + | 0.296233i | ||||
\(652\) | −16.4013 | − | 11.9162i | −0.642324 | − | 0.466676i | ||||
\(653\) | −0.314063 | − | 2.98811i | −0.0122902 | − | 0.116934i | 0.986657 | − | 0.162815i | \(-0.0520572\pi\) |
−0.998947 | + | 0.0458808i | \(0.985391\pi\) | |||||||
\(654\) | 1.73669 | − | 0.369145i | 0.0679100 | − | 0.0144347i | ||||
\(655\) | −15.1746 | + | 3.22546i | −0.592920 | + | 0.126029i | ||||
\(656\) | −2.57407 | − | 24.4907i | −0.100501 | − | 0.956199i | ||||
\(657\) | 12.2044 | + | 8.86699i | 0.476138 | + | 0.345934i | ||||
\(658\) | 5.42169 | − | 3.69221i | 0.211360 | − | 0.143938i | ||||
\(659\) | −49.7577 | −1.93828 | −0.969142 | − | 0.246502i | \(-0.920719\pi\) | ||||
−0.969142 | + | 0.246502i | \(0.920719\pi\) | |||||||
\(660\) | 13.1123 | − | 5.63054i | 0.510396 | − | 0.219168i | ||||
\(661\) | 11.8693 | + | 20.5583i | 0.461663 | + | 0.799624i | 0.999044 | − | 0.0437156i | \(-0.0139195\pi\) |
−0.537381 | + | 0.843340i | \(0.680586\pi\) | |||||||
\(662\) | 0.548493 | − | 0.609163i | 0.0213178 | − | 0.0236758i | ||||
\(663\) | 2.98983 | − | 1.33116i | 0.116115 | − | 0.0516979i | ||||
\(664\) | 5.66921 | − | 4.11892i | 0.220008 | − | 0.159845i | ||||
\(665\) | −33.8532 | − | 1.03125i | −1.31277 | − | 0.0399903i | ||||
\(666\) | 0.933191 | − | 2.87207i | 0.0361604 | − | 0.111290i | ||||
\(667\) | −4.27596 | − | 40.6830i | −0.165566 | − | 1.57525i | ||||
\(668\) | 1.70216 | − | 16.1950i | 0.0658586 | − | 0.626602i | ||||
\(669\) | −3.38239 | + | 3.75653i | −0.130771 | + | 0.145236i | ||||
\(670\) | −1.28829 | + | 2.23139i | −0.0497711 | + | 0.0862061i | ||||
\(671\) | −25.0116 | − | 18.6845i | −0.965564 | − | 0.721307i | ||||
\(672\) | 6.32855 | − | 6.61208i | 0.244129 | − | 0.255067i | ||||
\(673\) | 8.33353 | + | 25.6480i | 0.321234 | + | 0.988657i | 0.973112 | + | 0.230333i | \(0.0739815\pi\) |
−0.651878 | + | 0.758324i | \(0.726019\pi\) | |||||||
\(674\) | −7.08279 | + | 3.15346i | −0.272819 | + | 0.121467i | ||||
\(675\) | 0.0900339 | + | 0.0400857i | 0.00346541 | + | 0.00154290i | ||||
\(676\) | −16.7967 | + | 3.57024i | −0.646025 | + | 0.137317i | ||||
\(677\) | −19.9754 | − | 22.1849i | −0.767716 | − | 0.852635i | 0.224844 | − | 0.974395i | \(-0.427813\pi\) |
−0.992560 | + | 0.121760i | \(0.961146\pi\) | |||||||
\(678\) | 0.0371010 | − | 0.0269555i | 0.00142486 | − | 0.00103522i | ||||
\(679\) | 15.7652 | + | 18.6192i | 0.605014 | + | 0.714541i | ||||
\(680\) | 1.37291 | + | 4.22538i | 0.0526486 | + | 0.162036i | ||||
\(681\) | −5.48804 | + | 9.50557i | −0.210302 | + | 0.364254i | ||||
\(682\) | 4.55283 | − | 4.92334i | 0.174337 | − | 0.188525i | ||||
\(683\) | −8.20575 | − | 14.2128i | −0.313984 | − | 0.543837i | 0.665237 | − | 0.746633i | \(-0.268331\pi\) |
−0.979221 | + | 0.202796i | \(0.934997\pi\) | |||||||
\(684\) | −10.5667 | − | 2.24603i | −0.404029 | − | 0.0858790i | ||||
\(685\) | 20.9720 | + | 15.2370i | 0.801298 | + | 0.582177i | ||||
\(686\) | −3.28472 | + | 4.65044i | −0.125411 | + | 0.177555i | ||||
\(687\) | −5.80126 | + | 17.8544i | −0.221332 | + | 0.681189i | ||||
\(688\) | −13.5567 | − | 15.0562i | −0.516843 | − | 0.574012i | ||||
\(689\) | −5.88140 | − | 2.61857i | −0.224064 | − | 0.0997595i | ||||
\(690\) | 0.476598 | − | 4.53453i | 0.0181438 | − | 0.172627i | ||||
\(691\) | −29.5797 | − | 6.28737i | −1.12527 | − | 0.239183i | −0.392559 | − | 0.919727i | \(-0.628410\pi\) |
−0.732707 | + | 0.680544i | \(0.761744\pi\) | |||||||
\(692\) | 32.0076 | 1.21674 | ||||||||
\(693\) | −8.16470 | + | 3.21522i | −0.310151 | + | 0.122136i | ||||
\(694\) | −4.76749 | −0.180972 | ||||||||
\(695\) | −0.0567061 | − | 0.0120533i | −0.00215099 | − | 0.000457206i | ||||
\(696\) | 0.781590 | − | 7.43633i | 0.0296261 | − | 0.281873i | ||||
\(697\) | −10.7114 | − | 4.76903i | −0.405724 | − | 0.180640i | ||||
\(698\) | −0.388734 | − | 0.431733i | −0.0147138 | − | 0.0163413i | ||||
\(699\) | 1.81023 | − | 5.57132i | 0.0684692 | − | 0.210727i | ||||
\(700\) | −0.0669573 | + | 0.492325i | −0.00253075 | + | 0.0186082i | ||||
\(701\) | −21.2732 | − | 15.4559i | −0.803479 | − | 0.583762i | 0.108453 | − | 0.994102i | \(-0.465410\pi\) |
−0.911933 | + | 0.410340i | \(0.865410\pi\) | |||||||
\(702\) | −0.600517 | − | 0.127644i | −0.0226651 | − | 0.00481761i | ||||
\(703\) | −27.8455 | − | 48.2298i | −1.05021 | − | 1.81902i | ||||
\(704\) | 9.42902 | + | 16.8442i | 0.355369 | + | 0.634841i | ||||
\(705\) | −9.10508 | + | 15.7705i | −0.342917 | + | 0.593950i | ||||
\(706\) | −0.0286802 | − | 0.0882686i | −0.00107939 | − | 0.00332203i | ||||
\(707\) | 13.4064 | − | 37.3504i | 0.504199 | − | 1.40471i | ||||
\(708\) | −0.591607 | + | 0.429827i | −0.0222339 | + | 0.0161539i | ||||
\(709\) | 21.0300 | + | 23.3561i | 0.789797 | + | 0.877158i | 0.994826 | − | 0.101598i | \(-0.0323955\pi\) |
−0.205029 | + | 0.978756i | \(0.565729\pi\) | |||||||
\(710\) | −10.1129 | + | 2.14955i | −0.379529 | + | 0.0806713i | ||||
\(711\) | 1.80837 | + | 0.805140i | 0.0678193 | + | 0.0301951i | ||||
\(712\) | −9.30468 | + | 4.14271i | −0.348708 | + | 0.155255i | ||||
\(713\) | 13.3495 | + | 41.0856i | 0.499944 | + | 1.53867i | ||||
\(714\) | −0.373109 | − | 1.27965i | −0.0139633 | − | 0.0478897i | ||||
\(715\) | 4.81007 | − | 14.1611i | 0.179887 | − | 0.529597i | ||||
\(716\) | −22.2362 | + | 38.5143i | −0.831008 | + | 1.43935i | ||||
\(717\) | −16.9557 | + | 18.8312i | −0.633223 | + | 0.703265i | ||||
\(718\) | 0.940717 | − | 8.95032i | 0.0351072 | − | 0.334023i | ||||
\(719\) | 3.94615 | + | 37.5452i | 0.147167 | + | 1.40020i | 0.779937 | + | 0.625858i | \(0.215251\pi\) |
−0.632770 | + | 0.774340i | \(0.718082\pi\) | |||||||
\(720\) | −2.40161 | + | 7.39140i | −0.0895028 | + | 0.275461i | ||||
\(721\) | 9.96064 | + | 18.5336i | 0.370953 | + | 0.690229i | ||||
\(722\) | 3.26825 | − | 2.37452i | 0.121632 | − | 0.0883705i | ||||
\(723\) | −1.60959 | + | 0.716634i | −0.0598612 | + | 0.0266519i | ||||
\(724\) | −11.6801 | + | 12.9721i | −0.434089 | + | 0.482104i | ||||
\(725\) | 0.306890 | + | 0.531548i | 0.0113976 | + | 0.0197412i | ||||
\(726\) | 0.264034 | + | 3.37130i | 0.00979922 | + | 0.125121i | ||||
\(727\) | 5.80336 | 0.215235 | 0.107617 | − | 0.994192i | \(-0.465678\pi\) | ||||
0.107617 | + | 0.994192i | \(0.465678\pi\) | |||||||
\(728\) | −0.470696 | − | 6.32626i | −0.0174452 | − | 0.234467i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | 1.09458 | + | 10.4142i | 0.0405122 | + | 0.385448i | ||||
\(731\) | −9.43576 | + | 2.00563i | −0.348994 | + | 0.0741810i | ||||
\(732\) | 17.5448 | − | 3.72927i | 0.648476 | − | 0.137838i | ||||
\(733\) | −4.50869 | − | 42.8974i | −0.166532 | − | 1.58445i | −0.684476 | − | 0.729035i | \(-0.739969\pi\) |
0.517944 | − | 0.855415i | \(-0.326698\pi\) | |||||||
\(734\) | −2.14021 | − | 1.55495i | −0.0789966 | − | 0.0573944i | ||||
\(735\) | 2.60593 | − | 15.5897i | 0.0961211 | − | 0.575034i | ||||
\(736\) | 22.7226 | 0.837566 | ||||||||
\(737\) | 8.11529 | + | 9.25728i | 0.298931 | + | 0.340996i | ||||
\(738\) | 1.09974 | + | 1.90481i | 0.0404821 | + | 0.0701171i | ||||
\(739\) | 0.708012 | − | 0.786327i | 0.0260447 | − | 0.0289255i | −0.729982 | − | 0.683467i | \(-0.760471\pi\) |
0.756026 | + | 0.654541i | \(0.227138\pi\) | |||||||
\(740\) | −38.6115 | + | 17.1910i | −1.41939 | + | 0.631952i | ||||
\(741\) | −9.15958 | + | 6.65482i | −0.336485 | + | 0.244471i | ||||
\(742\) | −1.37956 | + | 2.22980i | −0.0506454 | + | 0.0818586i | ||||
\(743\) | 12.1573 | − | 37.4164i | 0.446009 | − | 1.37267i | −0.435365 | − | 0.900254i | \(-0.643381\pi\) |
0.881374 | − | 0.472419i | \(-0.156619\pi\) | |||||||
\(744\) | 0.825399 | + | 7.85314i | 0.0302606 | + | 0.287910i | ||||
\(745\) | 0.421782 | − | 4.01299i | 0.0154529 | − | 0.147025i | ||||
\(746\) | −6.67705 | + | 7.41562i | −0.244464 | + | 0.271505i | ||||
\(747\) | 2.91828 | − | 5.05461i | 0.106774 | − | 0.184938i | ||||
\(748\) | 10.3560 | + | 0.137542i | 0.378654 | + | 0.00502902i | ||||
\(749\) | 4.74208 | − | 4.95454i | 0.173272 | − | 0.181035i | ||||
\(750\) | −1.05139 | − | 3.23583i | −0.0383912 | − | 0.118156i | ||||
\(751\) | 3.66926 | − | 1.63366i | 0.133893 | − | 0.0596130i | −0.338696 | − | 0.940896i | \(-0.609986\pi\) |
0.472590 | + | 0.881283i | \(0.343319\pi\) | |||||||
\(752\) | −25.3581 | − | 11.2902i | −0.924716 | − | 0.411710i | ||||
\(753\) | −1.77501 | + | 0.377289i | −0.0646848 | + | 0.0137492i | ||||
\(754\) | −2.55840 | − | 2.84139i | −0.0931714 | − | 0.103477i | ||||
\(755\) | 11.7114 | − | 8.50886i | 0.426223 | − | 0.309669i | ||||
\(756\) | 1.70317 | − | 4.74506i | 0.0619435 | − | 0.172576i | ||||
\(757\) | −4.87356 | − | 14.9993i | −0.177133 | − | 0.545158i | 0.822592 | − | 0.568632i | \(-0.192527\pi\) |
−0.999724 | + | 0.0234741i | \(0.992527\pi\) | |||||||
\(758\) | −3.54889 | + | 6.14686i | −0.128901 | + | 0.223264i | ||||
\(759\) | −19.7822 | − | 9.12430i | −0.718049 | − | 0.331191i | ||||
\(760\) | −7.68476 | − | 13.3104i | −0.278756 | − | 0.482819i | ||||
\(761\) | −9.30994 | − | 1.97889i | −0.337485 | − | 0.0717346i | 0.0360521 | − | 0.999350i | \(-0.488522\pi\) |
−0.373537 | + | 0.927615i | \(0.621855\pi\) | |||||||
\(762\) | −3.12785 | − | 2.27252i | −0.113310 | − | 0.0823247i | ||||
\(763\) | 12.0829 | + | 9.35384i | 0.437431 | + | 0.338632i | ||||
\(764\) | 4.88642 | − | 15.0389i | 0.176785 | − | 0.544087i | ||||
\(765\) | 2.47606 | + | 2.74995i | 0.0895223 | + | 0.0994246i | ||||
\(766\) | −0.320058 | − | 0.142499i | −0.0115642 | − | 0.00514870i | ||||
\(767\) | −0.0801109 | + | 0.762204i | −0.00289264 | + | 0.0275216i | ||||
\(768\) | −8.76772 | − | 1.86364i | −0.316378 | − | 0.0672481i | ||||
\(769\) | −37.1116 | −1.33828 | −0.669139 | − | 0.743137i | \(-0.733337\pi\) | ||||
−0.669139 | + | 0.743137i | \(0.733337\pi\) | |||||||
\(770\) | −5.45093 | − | 2.71842i | −0.196438 | − | 0.0979649i | ||||
\(771\) | −0.392548 | −0.0141373 | ||||||||
\(772\) | −2.64090 | − | 0.561341i | −0.0950481 | − | 0.0202031i | ||||
\(773\) | −5.05586 | + | 48.1033i | −0.181847 | + | 1.73016i | 0.399703 | + | 0.916645i | \(0.369113\pi\) |
−0.581549 | + | 0.813511i | \(0.697553\pi\) | |||||||
\(774\) | 1.65313 | + | 0.736022i | 0.0594206 | + | 0.0264558i | ||||
\(775\) | −0.433718 | − | 0.481693i | −0.0155796 | − | 0.0173029i | ||||
\(776\) | −3.42121 | + | 10.5294i | −0.122814 | + | 0.377983i | ||||
\(777\) | 24.0538 | − | 9.84322i | 0.862927 | − | 0.353124i | ||||
\(778\) | 0.298655 | + | 0.216986i | 0.0107073 | + | 0.00777931i | ||||
\(779\) | 39.6755 | + | 8.43329i | 1.42152 | + | 0.302154i | ||||
\(780\) | 4.29625 | + | 7.44133i | 0.153830 | + | 0.266442i | ||||
\(781\) | −5.81547 | + | 49.0546i | −0.208094 | + | 1.75531i | ||||
\(782\) | 1.65460 | − | 2.86584i | 0.0591682 | − | 0.102482i | ||||
\(783\) | −1.92450 | − | 5.92301i | −0.0687762 | − | 0.211671i | ||||
\(784\) | 24.0485 | + | 1.46652i | 0.858877 | + | 0.0523756i | ||||
\(785\) | 4.55501 | − | 3.30941i | 0.162575 | − | 0.118118i | ||||
\(786\) | 1.41329 | + | 1.56962i | 0.0504104 | + | 0.0559865i | ||||
\(787\) | 2.72046 | − | 0.578252i | 0.0969740 | − | 0.0206125i | −0.159169 | − | 0.987251i | \(-0.550881\pi\) |
0.256143 | + | 0.966639i | \(0.417548\pi\) | |||||||
\(788\) | 24.9992 | + | 11.1304i | 0.890560 | + | 0.396503i | ||||
\(789\) | −0.384986 | + | 0.171407i | −0.0137059 | + | 0.00610224i | ||||
\(790\) | 0.424616 | + | 1.30683i | 0.0151071 | + | 0.0464950i | ||||
\(791\) | 0.383378 | + | 0.0937753i | 0.0136313 | + | 0.00333427i | ||||
\(792\) | −3.19016 | − | 2.38315i | −0.113357 | − | 0.0846817i | ||||
\(793\) | 9.39932 | − | 16.2801i | 0.333780 | − | 0.578123i | ||||
\(794\) | −6.63107 | + | 7.36454i | −0.235328 | + | 0.261358i | ||||
\(795\) | 0.760887 | − | 7.23935i | 0.0269859 | − | 0.256753i | ||||
\(796\) | −1.32291 | − | 12.5867i | −0.0468894 | − | 0.446122i | ||||
\(797\) | −5.43248 | + | 16.7195i | −0.192428 | + | 0.592234i | 0.807569 | + | 0.589774i | \(0.200783\pi\) |
−0.999997 | + | 0.00246002i | \(0.999217\pi\) | |||||||
\(798\) | 2.18292 | + | 4.06173i | 0.0772745 | + | 0.143784i | ||||
\(799\) | −10.6924 | + | 7.76849i | −0.378270 | + | 0.274829i | ||||
\(800\) | −0.311460 | + | 0.138671i | −0.0110118 | + | 0.00490275i | ||||
\(801\) | −5.67642 | + | 6.30430i | −0.200566 | + | 0.222751i | ||||
\(802\) | −2.23004 | − | 3.86254i | −0.0787453 | − | 0.136391i | ||||
\(803\) | 48.7969 | + | 11.0514i | 1.72200 | + | 0.389995i | ||||
\(804\) | −7.07288 | −0.249441 | ||||||||
\(805\) | 32.4338 | − | 22.0877i | 1.14314 | − | 0.778489i | ||||
\(806\) | 3.26663 | + | 2.37334i | 0.115062 | + | 0.0835975i | ||||
\(807\) | 0.103462 | + | 0.984379i | 0.00364205 | + | 0.0346518i | ||||
\(808\) | 17.6147 | − | 3.74411i | 0.619682 | − | 0.131717i | ||||
\(809\) | −34.6577 | + | 7.36671i | −1.21850 | + | 0.259000i | −0.771905 | − | 0.635738i | \(-0.780696\pi\) |
−0.446593 | + | 0.894737i | \(0.647363\pi\) | |||||||
\(810\) | −0.0725588 | − | 0.690351i | −0.00254946 | − | 0.0242565i | ||||
\(811\) | 3.86508 | + | 2.80814i | 0.135721 | + | 0.0986072i | 0.653574 | − | 0.756862i | \(-0.273269\pi\) |
−0.517853 | + | 0.855469i | \(0.673269\pi\) | |||||||
\(812\) | 25.9511 | − | 17.6729i | 0.910706 | − | 0.620198i | ||||
\(813\) | 20.7443 | 0.727534 | ||||||||
\(814\) | −0.914559 | − | 9.97393i | −0.0320553 | − | 0.349586i | ||||
\(815\) | −12.0118 | − | 20.8050i | −0.420754 | − | 0.728767i | ||||
\(816\) | −3.77429 | + | 4.19177i | −0.132127 | + | 0.146741i | ||||
\(817\) | 30.4863 | − | 13.5734i | 1.06658 | − | 0.474872i | ||||
\(818\) | 6.92175 | − | 5.02895i | 0.242013 | − | 0.175833i | ||||
\(819\) | −2.50130 | − | 4.65413i | −0.0874024 | − | 0.162629i | ||||
\(820\) | 9.51267 | − | 29.2770i | 0.332197 | − | 1.02240i | ||||
\(821\) | 0.0296177 | + | 0.281794i | 0.00103367 | + | 0.00983468i | 0.995027 | − | 0.0996098i | \(-0.0317595\pi\) |
−0.993993 | + | 0.109445i | \(0.965093\pi\) | |||||||
\(822\) | 0.368914 | − | 3.50998i | 0.0128674 | − | 0.122425i | ||||
\(823\) | −24.7562 | + | 27.4946i | −0.862949 | + | 0.958401i | −0.999480 | − | 0.0322342i | \(-0.989738\pi\) |
0.136532 | + | 0.990636i | \(0.456404\pi\) | |||||||
\(824\) | −4.77407 | + | 8.26893i | −0.166313 | + | 0.288062i | ||||
\(825\) | 0.326839 | + | 0.00434085i | 0.0113791 | + | 0.000151129i | ||||
\(826\) | 0.303201 | + | 0.0741639i | 0.0105497 | + | 0.00258049i | ||||
\(827\) | 2.77474 | + | 8.53976i | 0.0964871 | + | 0.296957i | 0.987638 | − | 0.156750i | \(-0.0501015\pi\) |
−0.891151 | + | 0.453706i | \(0.850102\pi\) | |||||||
\(828\) | 11.4340 | − | 5.09076i | 0.397361 | − | 0.176916i | ||||
\(829\) | 43.3181 | + | 19.2865i | 1.50450 | + | 0.669847i | 0.983034 | − | 0.183425i | \(-0.0587184\pi\) |
0.521467 | + | 0.853272i | \(0.325385\pi\) | |||||||
\(830\) | 3.96293 | − | 0.842347i | 0.137555 | − | 0.0292383i | ||||
\(831\) | 16.2369 | + | 18.0329i | 0.563251 | + | 0.625553i | ||||
\(832\) | −9.40355 | + | 6.83208i | −0.326010 | + | 0.236860i | ||||
\(833\) | 6.32990 | − | 9.56718i | 0.219318 | − | 0.331483i | ||||
\(834\) | 0.00243903 | + | 0.00750655i | 8.44566e−5 | + | 0.000259931i | ||||
\(835\) | 9.64833 | − | 16.7114i | 0.333894 | − | 0.578322i | ||||
\(836\) | −35.1417 | + | 6.98316i | −1.21540 | + | 0.241518i | ||||
\(837\) | 3.28845 | + | 5.69576i | 0.113665 | + | 0.196874i | ||||
\(838\) | −11.6077 | − | 2.46729i | −0.400982 | − | 0.0852313i | ||||
\(839\) | 24.5033 | + | 17.8027i | 0.845949 | + | 0.614618i | 0.924026 | − | 0.382329i | \(-0.124878\pi\) |
−0.0780769 | + | 0.996947i | \(0.524878\pi\) | |||||||
\(840\) | 6.63835 | − | 2.71652i | 0.229045 | − | 0.0937288i | ||||
\(841\) | 3.02398 | − | 9.30687i | 0.104275 | − | 0.320926i | ||||
\(842\) | 5.35221 | + | 5.94423i | 0.184449 | + | 0.204852i | ||||
\(843\) | −13.4099 | − | 5.97049i | −0.461863 | − | 0.205635i | ||||
\(844\) | 4.21204 | − | 40.0749i | 0.144985 | − | 1.37944i | ||||
\(845\) | −19.9039 | − | 4.23071i | −0.684717 | − | 0.145541i | ||||
\(846\) | 2.47926 | 0.0852388 | ||||||||
\(847\) | −20.6747 | + | 20.4831i | −0.710390 | + | 0.703808i | ||||
\(848\) | 11.0958 | 0.381031 | ||||||||
\(849\) | 6.53009 | + | 1.38801i | 0.224112 | + | 0.0476365i | ||||
\(850\) | −0.00519003 | + | 0.0493798i | −0.000178017 | + | 0.00169371i | ||||
\(851\) | 58.9452 | + | 26.2441i | 2.02062 | + | 0.899636i | ||||
\(852\) | −18.9903 | − | 21.0909i | −0.650597 | − | 0.722562i | ||||
\(853\) | −12.3181 | + | 37.9113i | −0.421764 | + | 1.29806i | 0.484294 | + | 0.874905i | \(0.339076\pi\) |
−0.906059 | + | 0.423152i | \(0.860924\pi\) | |||||||
\(854\) | −6.05418 | − | 4.68677i | −0.207170 | − | 0.160378i | ||||
\(855\) | −10.3564 | − | 7.52439i | −0.354183 | − | 0.257329i | ||||
\(856\) | 3.04420 | + | 0.647065i | 0.104049 | + | 0.0221162i | ||||
\(857\) | −0.101233 | − | 0.175341i | −0.00345807 | − | 0.00598955i | 0.864291 | − | 0.502992i | \(-0.167767\pi\) |
−0.867749 | + | 0.497002i | \(0.834434\pi\) | |||||||
\(858\) | −1.99714 | + | 0.396859i | −0.0681811 | + | 0.0135486i | ||||
\(859\) | −21.2718 | + | 36.8438i | −0.725783 | + | 1.25709i | 0.232867 | + | 0.972508i | \(0.425189\pi\) |
−0.958651 | + | 0.284585i | \(0.908144\pi\) | |||||||
\(860\) | −7.82633 | − | 24.0870i | −0.266876 | − | 0.821359i | ||||
\(861\) | −6.39497 | + | 17.8165i | −0.217940 | + | 0.607186i | ||||
\(862\) | 1.18596 | − | 0.861648i | 0.0403938 | − | 0.0293478i | ||||
\(863\) | −16.5264 | − | 18.3544i | −0.562566 | − | 0.624792i | 0.393012 | − | 0.919534i | \(-0.371433\pi\) |
−0.955577 | + | 0.294741i | \(0.904767\pi\) | |||||||
\(864\) | 3.38376 | − | 0.719241i | 0.115118 | − | 0.0244691i | ||||
\(865\) | 34.6496 | + | 15.4270i | 1.17812 | + | 0.524534i | ||||
\(866\) | 4.72828 | − | 2.10517i | 0.160674 | − | 0.0715365i | ||||
\(867\) | −4.42337 | − | 13.6137i | −0.150225 | − | 0.462346i | ||||
\(868\) | −22.9265 | + | 23.9536i | −0.778175 | + | 0.813039i | ||||
\(869\) | 6.56472 | + | 0.0871881i | 0.222693 | + | 0.00295766i | ||||
\(870\) | 2.16153 | − | 3.74389i | 0.0732829 | − | 0.126930i | ||||
\(871\) | −4.96008 | + | 5.50873i | −0.168066 | + | 0.186656i | ||||
\(872\) | −0.724818 | + | 6.89618i | −0.0245454 | + | 0.233534i | ||||
\(873\) | 0.963882 | + | 9.17072i | 0.0326225 | + | 0.310382i | ||||
\(874\) | −3.53758 | + | 10.8875i | −0.119660 | + | 0.368277i | ||||
\(875\) | 15.4062 | − | 24.9012i | 0.520825 | − | 0.841813i | ||||
\(876\) | −23.2553 | + | 16.8960i | −0.785725 | + | 0.570862i | ||||
\(877\) | 19.3947 | − | 8.63509i | 0.654913 | − | 0.291586i | −0.0522526 | − | 0.998634i | \(-0.516640\pi\) |
0.707166 | + | 0.707048i | \(0.249973\pi\) | |||||||
\(878\) | −0.166340 | + | 0.184739i | −0.00561369 | + | 0.00623464i | ||||
\(879\) | 11.1644 | + | 19.3374i | 0.376567 | + | 0.652234i | ||||
\(880\) | 2.35366 | + | 25.6684i | 0.0793419 | + | 0.865281i | ||||
\(881\) | 16.0932 | 0.542194 | 0.271097 | − | 0.962552i | \(-0.412614\pi\) | ||||
0.271097 | + | 0.962552i | \(0.412614\pi\) | |||||||
\(882\) | −2.01553 | + | 0.753989i | −0.0678663 | + | 0.0253881i | ||||
\(883\) | −42.5791 | − | 30.9355i | −1.43290 | − | 1.04106i | −0.989467 | − | 0.144757i | \(-0.953760\pi\) |
−0.443435 | − | 0.896307i | \(-0.646240\pi\) | |||||||
\(884\) | 0.651866 | + | 6.20209i | 0.0219246 | + | 0.208599i | ||||
\(885\) | −0.847610 | + | 0.180165i | −0.0284921 | + | 0.00605618i | ||||
\(886\) | 4.55986 | − | 0.969229i | 0.153192 | − | 0.0325619i | ||||
\(887\) | −2.58177 | − | 24.5639i | −0.0866875 | − | 0.824776i | −0.948335 | − | 0.317270i | \(-0.897234\pi\) |
0.861648 | − | 0.507507i | \(-0.169433\pi\) | |||||||
\(888\) | 9.54161 | + | 6.93239i | 0.320196 | + | 0.232636i | ||||
\(889\) | −2.46888 | − | 33.1823i | −0.0828037 | − | 1.11290i | ||||
\(890\) | −5.88869 | −0.197390 | ||||||||
\(891\) | −3.23470 | − | 0.732587i | −0.108367 | − | 0.0245426i | ||||
\(892\) | −4.81604 | − | 8.34163i | −0.161253 | − | 0.279299i | ||||
\(893\) | 30.5936 | − | 33.9776i | 1.02377 | − | 1.13702i | ||||
\(894\) | −0.501872 | + | 0.223448i | −0.0167851 | + | 0.00747321i | ||||
\(895\) | −42.6349 | + | 30.9761i | −1.42513 | + | 1.03542i | ||||
\(896\) | 10.9067 | + | 20.2940i | 0.364368 | + | 0.677976i | ||||
\(897\) | 4.05353 | − | 12.4755i | 0.135343 | − | 0.416544i | ||||
\(898\) | −0.954228 | − | 9.07887i | −0.0318430 | − | 0.302966i | ||||
\(899\) | −4.28146 | + | 40.7354i | −0.142795 | + | 1.35860i | ||||
\(900\) | −0.125659 | + | 0.139559i | −0.00418864 | + | 0.00465195i | ||||
\(901\) | 2.64155 | − | 4.57530i | 0.0880029 | − | 0.152425i | ||||
\(902\) | 5.84421 | + | 4.36582i | 0.194591 | + | 0.145366i | ||||
\(903\) | 4.35935 | + | 14.9512i | 0.145070 | + | 0.497545i | ||||
\(904\) | 0.0553461 | + | 0.170338i | 0.00184078 | + | 0.00566535i | ||||
\(905\) | −18.8966 | + | 8.41330i | −0.628144 | + | 0.279668i | ||||
\(906\) | −1.80049 | − | 0.801632i | −0.0598174 | − | 0.0266324i | ||||
\(907\) | 2.55134 | − | 0.542304i | 0.0847159 | − | 0.0180069i | −0.165359 | − | 0.986233i | \(-0.552878\pi\) |
0.250075 | + | 0.968227i | \(0.419545\pi\) | |||||||
\(908\) | −13.9948 | − | 15.5428i | −0.464433 | − | 0.515805i | ||||
\(909\) | 12.1344 | − | 8.81618i | 0.402474 | − | 0.292414i | ||||
\(910\) | 1.23906 | − | 3.45206i | 0.0410746 | − | 0.114435i | ||||
\(911\) | 0.435018 | + | 1.33885i | 0.0144128 | + | 0.0443580i | 0.958004 | − | 0.286754i | \(-0.0925762\pi\) |
−0.943591 | + | 0.331112i | \(0.892576\pi\) | |||||||
\(912\) | 9.75654 | − | 16.8988i | 0.323071 | − | 0.559576i | ||||
\(913\) | 2.27891 | − | 19.2231i | 0.0754210 | − | 0.636190i | ||||
\(914\) | −0.425616 | − | 0.737188i | −0.0140781 | − | 0.0243840i | ||||
\(915\) | 20.7905 | + | 4.41916i | 0.687313 | + | 0.146093i | ||||
\(916\) | −28.9404 | − | 21.0265i | −0.956219 | − | 0.694734i | ||||
\(917\) | −2.44965 | + | 18.0118i | −0.0808945 | + | 0.594803i | ||||
\(918\) | 0.155683 | − | 0.479144i | 0.00513831 | − | 0.0158141i | ||||
\(919\) | 23.0403 | + | 25.5888i | 0.760029 | + | 0.844097i | 0.991683 | − | 0.128701i | \(-0.0410807\pi\) |
−0.231655 | + | 0.972798i | \(0.574414\pi\) | |||||||
\(920\) | 16.2676 | + | 7.24281i | 0.536328 | + | 0.238788i | ||||
\(921\) | 2.21344 | − | 21.0595i | 0.0729355 | − | 0.693935i | ||||
\(922\) | 9.01935 | + | 1.91712i | 0.297037 | + | 0.0631371i | ||||
\(923\) | −29.7442 | −0.979043 | ||||||||
\(924\) | −1.01910 | − | 16.6895i | −0.0335258 | − | 0.549046i | ||||
\(925\) | −0.968126 | −0.0318318 | ||||||||
\(926\) | −0.295295 | − | 0.0627670i | −0.00970401 | − | 0.00206265i | ||||
\(927\) | −0.831276 | + | 7.90906i | −0.0273027 | + | 0.259768i | ||||
\(928\) | 19.6817 | + | 8.76285i | 0.646083 | + | 0.287655i | ||||
\(929\) | 24.4054 | + | 27.1049i | 0.800715 | + | 0.889284i | 0.995805 | − | 0.0915016i | \(-0.0291667\pi\) |
−0.195090 | + | 0.980785i | \(0.562500\pi\) | |||||||
\(930\) | −1.41078 | + | 4.34193i | −0.0462613 | + | 0.142378i | ||||
\(931\) | −14.5380 | + | 36.9263i | −0.476462 | + | 1.21021i | ||||
\(932\) | 9.03060 | + | 6.56111i | 0.295807 | + | 0.214916i | ||||
\(933\) | 26.3508 | + | 5.60105i | 0.862688 | + | 0.183370i | ||||
\(934\) | 5.95875 | + | 10.3209i | 0.194976 | + | 0.337709i | ||||
\(935\) | 11.1446 | + | 5.14029i | 0.364467 | + | 0.168106i | ||||
\(936\) | 1.19886 | − | 2.07648i | 0.0391858 | − | 0.0678718i | ||||
\(937\) | 4.89174 | + | 15.0552i | 0.159806 | + | 0.491833i | 0.998616 | − | 0.0525914i | \(-0.0167481\pi\) |
−0.838810 | + | 0.544424i | \(0.816748\pi\) | |||||||
\(938\) | 1.95089 | + | 2.30406i | 0.0636988 | + | 0.0752302i | ||||
\(939\) | 2.05567 | − | 1.49354i | 0.0670844 | − | 0.0487397i | ||||
\(940\) | −23.2184 | − | 25.7866i | −0.757300 | − | 0.841067i | ||||
\(941\) | 32.7651 | − | 6.96444i | 1.06811 | − | 0.227034i | 0.359869 | − | 0.933003i | \(-0.382821\pi\) |
0.708243 | + | 0.705969i | \(0.249488\pi\) | |||||||
\(942\) | −0.700279 | − | 0.311784i | −0.0228163 | − | 0.0101585i | ||||
\(943\) | −42.9321 | + | 19.1146i | −1.39806 | + | 0.622457i | ||||
\(944\) | −0.408176 | − | 1.25624i | −0.0132850 | − | 0.0408870i | ||||
\(945\) | 4.13078 | − | 4.31585i | 0.134374 | − | 0.140395i | ||||
\(946\) | 6.00116 | + | 0.0797034i | 0.195115 | + | 0.00259138i | ||||
\(947\) | 22.9484 | − | 39.7479i | 0.745724 | − | 1.29163i | −0.204132 | − | 0.978943i | \(-0.565437\pi\) |
0.949856 | − | 0.312688i | \(-0.101230\pi\) | |||||||
\(948\) | −2.52392 | + | 2.80310i | −0.0819732 | + | 0.0910405i | ||||
\(949\) | −3.14906 | + | 29.9613i | −0.102223 | + | 0.972585i | ||||
\(950\) | −0.0179544 | − | 0.170825i | −0.000582518 | − | 0.00554229i | ||||
\(951\) | 7.97399 | − | 24.5414i | 0.258574 | − | 0.795810i | ||||
\(952\) | 5.20335 | + | 0.158507i | 0.168642 | + | 0.00513724i | ||||
\(953\) | −23.6880 | + | 17.2103i | −0.767330 | + | 0.557498i | −0.901150 | − | 0.433508i | \(-0.857276\pi\) |
0.133820 | + | 0.991006i | \(0.457276\pi\) | |||||||
\(954\) | −0.905366 | + | 0.403095i | −0.0293123 | + | 0.0130507i | ||||
\(955\) | 12.5382 | − | 13.9251i | 0.405727 | − | 0.450606i | ||||
\(956\) | −24.1425 | − | 41.8161i | −0.780825 | − | 1.35243i | ||||
\(957\) | −13.6161 | − | 15.5321i | −0.440145 | − | 0.502082i | ||||
\(958\) | 3.77413 | 0.121937 | ||||||||
\(959\) | 25.1056 | − | 17.0971i | 0.810702 | − | 0.552095i | ||||
\(960\) | −10.6323 | − | 7.72481i | −0.343156 | − | 0.249317i | ||||
\(961\) | −1.28106 | − | 12.1885i | −0.0413245 | − | 0.393176i | ||||
\(962\) | 5.89904 | − | 1.25388i | 0.190193 | − | 0.0404267i | ||||
\(963\) | 2.53551 | − | 0.538939i | 0.0817056 | − | 0.0173671i | ||||
\(964\) | −0.350934 | − | 3.33892i | −0.0113028 | − | 0.107539i | ||||
\(965\) | −2.58834 | − | 1.88054i | −0.0833216 | − | 0.0605367i | ||||
\(966\) | −4.81218 | − | 2.32058i | −0.154829 | − | 0.0746636i | ||||
\(967\) | 46.5965 | 1.49844 | 0.749221 | − | 0.662320i | \(-0.230428\pi\) | ||||
0.749221 | + | 0.662320i | \(0.230428\pi\) | |||||||
\(968\) | −12.8408 | − | 3.08798i | −0.412719 | − | 0.0992515i | ||||
\(969\) | −4.64544 | − | 8.04613i | −0.149233 | − | 0.258479i | ||||
\(970\) | −4.28308 | + | 4.75684i | −0.137521 | + | 0.152733i | ||||
\(971\) | −14.6474 | + | 6.52146i | −0.470059 | + | 0.209284i | −0.628075 | − | 0.778153i | \(-0.716157\pi\) |
0.158016 | + | 0.987437i | \(0.449490\pi\) | |||||||
\(972\) | 1.54158 | − | 1.12002i | 0.0494461 | − | 0.0359247i | ||||
\(973\) | −0.0357396 | + | 0.0577662i | −0.00114576 | + | 0.00185190i | ||||
\(974\) | 3.82179 | − | 11.7623i | 0.122458 | − | 0.376887i | ||||
\(975\) | 0.0205731 | + | 0.195740i | 0.000658866 | + | 0.00626869i | ||||
\(976\) | −3.38664 | + | 32.2217i | −0.108404 | + | 1.03139i | ||||
\(977\) | −18.0314 | + | 20.0258i | −0.576874 | + | 0.640683i | −0.958993 | − | 0.283430i | \(-0.908528\pi\) |
0.382119 | + | 0.924113i | \(0.375194\pi\) | |||||||
\(978\) | −1.63537 | + | 2.83254i | −0.0522933 | + | 0.0905746i | ||||
\(979\) | −9.04904 | + | 26.6409i | −0.289209 | + | 0.851448i | ||||
\(980\) | 26.7177 | + | 13.9022i | 0.853465 | + | 0.444090i | ||||
\(981\) | 1.78471 | + | 5.49278i | 0.0569815 | + | 0.175371i | ||||
\(982\) | 1.63209 | − | 0.726652i | 0.0520820 | − | 0.0231884i | ||||
\(983\) | −16.4814 | − | 7.33800i | −0.525676 | − | 0.234046i | 0.126701 | − | 0.991941i | \(-0.459561\pi\) |
−0.652376 | + | 0.757895i | \(0.726228\pi\) | |||||||
\(984\) | −8.40237 | + | 1.78598i | −0.267858 | + | 0.0569349i | ||||
\(985\) | 21.6982 | + | 24.0983i | 0.691362 | + | 0.767835i | ||||
\(986\) | 2.53836 | − | 1.84423i | 0.0808380 | − | 0.0587322i | ||||
\(987\) | 13.7880 | + | 16.2841i | 0.438877 | + | 0.518328i | ||||
\(988\) | −6.66665 | − | 20.5178i | −0.212094 | − | 0.652759i | ||||
\(989\) | −19.3320 | + | 33.4841i | −0.614723 | + | 1.06473i | ||||
\(990\) | −1.12454 | − | 2.00892i | −0.0357404 | − | 0.0638476i | ||||
\(991\) | −5.58952 | − | 9.68133i | −0.177557 | − | 0.307537i | 0.763486 | − | 0.645824i | \(-0.223486\pi\) |
−0.941043 | + | 0.338287i | \(0.890153\pi\) | |||||||
\(992\) | −22.2547 | − | 4.73038i | −0.706587 | − | 0.150190i | ||||
\(993\) | 2.15718 | + | 1.56728i | 0.0684559 | + | 0.0497361i | ||||
\(994\) | −1.63253 | + | 12.0037i | −0.0517807 | + | 0.380734i | ||||
\(995\) | 4.63441 | − | 14.2633i | 0.146921 | − | 0.452176i | ||||
\(996\) | 7.44175 | + | 8.26490i | 0.235801 | + | 0.261883i | ||||
\(997\) | 6.28101 | + | 2.79648i | 0.198921 | + | 0.0885655i | 0.503780 | − | 0.863832i | \(-0.331942\pi\) |
−0.304858 | + | 0.952398i | \(0.598609\pi\) | |||||||
\(998\) | 1.31157 | − | 12.4788i | 0.0415172 | − | 0.395009i | ||||
\(999\) | 9.60861 | + | 2.04237i | 0.304003 | + | 0.0646178i |
(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 | 231.2.y.b.16.5 | ✓ | 64 | |
3.2 | odd | 2 | 693.2.by.c.478.4 | 64 | |||
7.4 | even | 3 | inner | 231.2.y.b.214.4 | yes | 64 | |
11.9 | even | 5 | inner | 231.2.y.b.163.4 | yes | 64 | |
21.11 | odd | 6 | 693.2.by.c.676.5 | 64 | |||
33.20 | odd | 10 | 693.2.by.c.163.5 | 64 | |||
77.53 | even | 15 | inner | 231.2.y.b.130.5 | yes | 64 | |
231.53 | odd | 30 | 693.2.by.c.361.4 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.y.b.16.5 | ✓ | 64 | 1.1 | even | 1 | trivial | |
231.2.y.b.130.5 | yes | 64 | 77.53 | even | 15 | inner | |
231.2.y.b.163.4 | yes | 64 | 11.9 | even | 5 | inner | |
231.2.y.b.214.4 | yes | 64 | 7.4 | even | 3 | inner | |
693.2.by.c.163.5 | 64 | 33.20 | odd | 10 | |||
693.2.by.c.361.4 | 64 | 231.53 | odd | 30 | |||
693.2.by.c.478.4 | 64 | 3.2 | odd | 2 | |||
693.2.by.c.676.5 | 64 | 21.11 | odd | 6 |