Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(125,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.125");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.be (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | 16.0.6040479020157644046336.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{16} - 7x^{12} - 32x^{8} - 567x^{4} + 6561 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 125.2 | ||
Root | \(1.47240 - 0.912166i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 666.125 |
Dual form | 666.2.be.d.341.2 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 0.653347 | − | 2.43832i | 0.292186 | − | 1.09045i | −0.651241 | − | 0.758871i | \(-0.725751\pi\) |
0.943427 | − | 0.331581i | \(-0.107582\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.76217 | − | 3.05217i | −0.666037 | − | 1.15361i | −0.979003 | − | 0.203846i | \(-0.934656\pi\) |
0.312966 | − | 0.949764i | \(-0.398677\pi\) | |||||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.52434 | −0.798266 | ||||||||
\(11\) | 2.53468 | 0.764234 | 0.382117 | − | 0.924114i | \(-0.375195\pi\) | ||||
0.382117 | + | 0.924114i | \(0.375195\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.84445 | − | 0.762169i | −0.788909 | − | 0.211388i | −0.158200 | − | 0.987407i | \(-0.550569\pi\) |
−0.630709 | + | 0.776019i | \(0.717236\pi\) | |||||||
\(14\) | −2.49208 | + | 2.49208i | −0.666037 | + | 0.666037i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −1.73122 | + | 0.463878i | −0.419882 | + | 0.112507i | −0.462573 | − | 0.886581i | \(-0.653074\pi\) |
0.0426910 | + | 0.999088i | \(0.486407\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.53059 | − | 0.946020i | −0.809974 | − | 0.217032i | −0.170015 | − | 0.985441i | \(-0.554382\pi\) |
−0.639958 | + | 0.768410i | \(0.721048\pi\) | |||||||
\(20\) | 0.653347 | + | 2.43832i | 0.146093 | + | 0.545226i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.656023 | − | 2.44831i | −0.139864 | − | 0.521981i | ||||
\(23\) | 3.15983 | + | 3.15983i | 0.658871 | + | 0.658871i | 0.955113 | − | 0.296242i | \(-0.0957334\pi\) |
−0.296242 | + | 0.955113i | \(0.595733\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.18843 | − | 0.686141i | −0.237686 | − | 0.137228i | ||||
\(26\) | 2.94479i | 0.577522i | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.05217 | + | 1.76217i | 0.576805 | + | 0.333019i | ||||
\(29\) | 0.0393551 | − | 0.0393551i | 0.00730806 | − | 0.00730806i | −0.703443 | − | 0.710751i | \(-0.748355\pi\) |
0.710751 | + | 0.703443i | \(0.248355\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.02663 | − | 3.02663i | −0.543598 | − | 0.543598i | 0.380983 | − | 0.924582i | \(-0.375585\pi\) |
−0.924582 | + | 0.380983i | \(0.875585\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.896143 | + | 1.55217i | 0.153687 | + | 0.266194i | ||||
\(35\) | −8.59347 | + | 2.30261i | −1.45256 | + | 0.389213i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.08276 | + | 0.00578029i | −1.00000 | + | 0.000950274i | ||||
\(38\) | 3.65514i | 0.592942i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.18614 | − | 1.26217i | 0.345659 | − | 0.199566i | ||||
\(41\) | −4.63342 | − | 8.02531i | −0.723618 | − | 1.25334i | −0.959540 | − | 0.281572i | \(-0.909144\pi\) |
0.235922 | − | 0.971772i | \(-0.424189\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.234341 | − | 0.234341i | 0.0357366 | − | 0.0357366i | −0.689013 | − | 0.724749i | \(-0.741956\pi\) |
0.724749 | + | 0.689013i | \(0.241956\pi\) | |||||||
\(44\) | −2.19509 | + | 1.26734i | −0.330923 | + | 0.191058i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.23434 | − | 3.86999i | 0.329436 | − | 0.570599i | ||||
\(47\) | 4.39019i | 0.640375i | 0.947354 | + | 0.320187i | \(0.103746\pi\) | ||||
−0.947354 | + | 0.320187i | \(0.896254\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.71048 | + | 4.69469i | −0.387211 | + | 0.670669i | ||||
\(50\) | −0.355173 | + | 1.32552i | −0.0502290 | + | 0.187457i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.84445 | − | 0.762169i | 0.394455 | − | 0.105694i | ||||
\(53\) | −3.09167 | − | 1.78498i | −0.424674 | − | 0.245185i | 0.272401 | − | 0.962184i | \(-0.412182\pi\) |
−0.697075 | + | 0.716998i | \(0.745515\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.65602 | − | 6.18036i | 0.223298 | − | 0.833360i | ||||
\(56\) | 0.912166 | − | 3.40425i | 0.121893 | − | 0.454912i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.0482000 | − | 0.0278283i | −0.00632897 | − | 0.00365403i | ||||
\(59\) | 9.18421 | − | 2.46090i | 1.19568 | − | 0.320382i | 0.394553 | − | 0.918873i | \(-0.370899\pi\) |
0.801130 | + | 0.598491i | \(0.204233\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.55217 | − | 9.52481i | 0.326771 | − | 1.21953i | −0.585748 | − | 0.810493i | \(-0.699199\pi\) |
0.912519 | − | 0.409034i | \(-0.134134\pi\) | |||||||
\(62\) | −2.14015 | + | 3.70685i | −0.271799 | + | 0.470770i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −3.71683 | + | 6.43773i | −0.461016 | + | 0.798503i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −13.5208 | + | 7.80626i | −1.65183 | + | 0.953687i | −0.675517 | + | 0.737345i | \(0.736079\pi\) |
−0.976318 | + | 0.216343i | \(0.930587\pi\) | |||||||
\(68\) | 1.26734 | − | 1.26734i | 0.153687 | − | 0.153687i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 4.44831 | + | 7.70470i | 0.531675 | + | 0.920888i | ||||
\(71\) | 3.56178 | − | 2.05639i | 0.422705 | − | 0.244049i | −0.273529 | − | 0.961864i | \(-0.588191\pi\) |
0.696234 | + | 0.717815i | \(0.254858\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 4.09182i | − | 0.478911i | −0.970907 | − | 0.239456i | \(-0.923031\pi\) | ||
0.970907 | − | 0.239456i | \(-0.0769690\pi\) | |||||||
\(74\) | 1.57992 | + | 5.87400i | 0.183662 | + | 0.682838i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.53059 | − | 0.946020i | 0.404987 | − | 0.108516i | ||||
\(77\) | −4.46653 | − | 7.73625i | −0.509008 | − | 0.881628i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.84445 | + | 0.762169i | 0.320026 | + | 0.0857507i | 0.415256 | − | 0.909705i | \(-0.363692\pi\) |
−0.0952300 | + | 0.995455i | \(0.530359\pi\) | |||||||
\(80\) | −1.78498 | − | 1.78498i | −0.199566 | − | 0.199566i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.55264 | + | 6.55264i | −0.723618 | + | 0.723618i | ||||
\(83\) | 7.86403 | + | 4.54030i | 0.863190 | + | 0.498363i | 0.865079 | − | 0.501635i | \(-0.167268\pi\) |
−0.00188932 | + | 0.999998i | \(0.500601\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.52434i | 0.490733i | ||||||||
\(86\) | −0.287007 | − | 0.165704i | −0.0309488 | − | 0.0178683i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.79229 | + | 1.79229i | 0.191058 | + | 0.191058i | ||||
\(89\) | −3.78437 | − | 14.1235i | −0.401143 | − | 1.49708i | −0.811061 | − | 0.584962i | \(-0.801109\pi\) |
0.409918 | − | 0.912122i | \(-0.365557\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.68614 | + | 10.0248i | 0.281584 | + | 1.05089i | ||||
\(92\) | −4.31641 | − | 1.15658i | −0.450017 | − | 0.120582i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.24060 | − | 1.13626i | 0.437384 | − | 0.117197i | ||||
\(95\) | −4.61340 | + | 7.99065i | −0.473325 | + | 0.819823i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.841688 | + | 0.841688i | −0.0854604 | + | 0.0854604i | −0.748545 | − | 0.663084i | \(-0.769247\pi\) |
0.663084 | + | 0.748545i | \(0.269247\pi\) | |||||||
\(98\) | 5.23624 | + | 1.40305i | 0.528940 | + | 0.141729i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.37228 | 0.137228 | ||||||||
\(101\) | 17.0794 | 1.69947 | 0.849733 | − | 0.527213i | \(-0.176763\pi\) | ||||
0.849733 | + | 0.527213i | \(0.176763\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 11.0974 | + | 11.0974i | 1.09345 | + | 1.09345i | 0.995157 | + | 0.0982974i | \(0.0313396\pi\) |
0.0982974 | + | 0.995157i | \(0.468660\pi\) | |||||||
\(104\) | −1.47240 | − | 2.55027i | −0.144380 | − | 0.250074i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.923972 | + | 3.44831i | −0.0897441 | + | 0.334929i | ||||
\(107\) | −0.455950 | + | 0.263243i | −0.0440783 | + | 0.0254486i | −0.521877 | − | 0.853021i | \(-0.674768\pi\) |
0.477799 | + | 0.878469i | \(0.341435\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.981918 | + | 3.66457i | 0.0940507 | + | 0.351002i | 0.996874 | − | 0.0790101i | \(-0.0251759\pi\) |
−0.902823 | + | 0.430012i | \(0.858509\pi\) | |||||||
\(110\) | −6.39838 | −0.610062 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.52434 | −0.333019 | ||||||||
\(113\) | −0.903052 | − | 3.37024i | −0.0849520 | − | 0.317045i | 0.910353 | − | 0.413832i | \(-0.135810\pi\) |
−0.995305 | + | 0.0967872i | \(0.969143\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.76917 | − | 5.64023i | 0.910979 | − | 0.525954i | ||||
\(116\) | −0.0144050 | + | 0.0537601i | −0.00133747 | + | 0.00499150i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.75410 | − | 8.23434i | −0.437650 | − | 0.758032i | ||||
\(119\) | 4.46653 | + | 4.46653i | 0.409446 | + | 0.409446i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.57541 | −0.415947 | ||||||||
\(122\) | −9.86081 | −0.892756 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.13445 | + | 1.10782i | 0.371285 | + | 0.0994854i | ||||
\(125\) | 6.47539 | − | 6.47539i | 0.579177 | − | 0.579177i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.75686 | − | 15.1673i | 0.777046 | − | 1.34588i | −0.156591 | − | 0.987663i | \(-0.550051\pi\) |
0.933637 | − | 0.358220i | \(-0.116616\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 7.18036 | + | 1.92397i | 0.629759 | + | 0.168743i | ||||
\(131\) | −1.32048 | − | 4.92809i | −0.115371 | − | 0.430569i | 0.883944 | − | 0.467593i | \(-0.154879\pi\) |
−0.999314 | + | 0.0370243i | \(0.988212\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.33409 | + | 12.4430i | 0.289103 | + | 1.07895i | ||||
\(134\) | 11.0397 | + | 11.0397i | 0.953687 | + | 0.953687i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.55217 | − | 0.896143i | −0.133097 | − | 0.0768437i | ||||
\(137\) | 15.3091i | 1.30794i | 0.756518 | + | 0.653972i | \(0.226899\pi\) | ||||
−0.756518 | + | 0.653972i | \(0.773101\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 17.9622 | + | 10.3705i | 1.52353 | + | 0.879612i | 0.999612 | + | 0.0278438i | \(0.00886411\pi\) |
0.523920 | + | 0.851768i | \(0.324469\pi\) | |||||||
\(140\) | 6.29086 | − | 6.29086i | 0.531675 | − | 0.531675i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.90818 | − | 2.90818i | −0.244049 | − | 0.244049i | ||||
\(143\) | −7.20977 | − | 1.93185i | −0.602911 | − | 0.161550i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.0702479 | − | 0.121673i | −0.00583377 | − | 0.0101044i | ||||
\(146\) | −3.95239 | + | 1.05904i | −0.327103 | + | 0.0876469i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.26493 | − | 3.04639i | 0.432775 | − | 0.250411i | ||||
\(149\) | − | 18.7775i | − | 1.53831i | −0.639060 | − | 0.769157i | \(-0.720676\pi\) | ||
0.639060 | − | 0.769157i | \(-0.279324\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 17.8658 | − | 10.3148i | 1.45390 | − | 0.839407i | 0.455197 | − | 0.890391i | \(-0.349569\pi\) |
0.998699 | + | 0.0509835i | \(0.0162356\pi\) | |||||||
\(152\) | −1.82757 | − | 3.16544i | −0.148235 | − | 0.256751i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.31662 | + | 6.31662i | −0.509008 | + | 0.509008i | ||||
\(155\) | −9.35733 | + | 5.40246i | −0.751599 | + | 0.433936i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.87651 | − | 15.3746i | 0.708423 | − | 1.22702i | −0.257019 | − | 0.966406i | \(-0.582740\pi\) |
0.965442 | − | 0.260618i | \(-0.0839263\pi\) | |||||||
\(158\) | − | 2.94479i | − | 0.234275i | ||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.26217 | + | 2.18614i | −0.0997832 | + | 0.172830i | ||||
\(161\) | 4.07618 | − | 15.2125i | 0.321248 | − | 1.19891i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −23.3554 | + | 6.25806i | −1.82934 | + | 0.490169i | −0.997860 | − | 0.0653889i | \(-0.979171\pi\) |
−0.831478 | + | 0.555558i | \(0.812505\pi\) | |||||||
\(164\) | 8.02531 | + | 4.63342i | 0.626672 | + | 0.361809i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.35023 | − | 8.77119i | 0.182413 | − | 0.680776i | ||||
\(167\) | 4.64135 | − | 17.3217i | 0.359158 | − | 1.34040i | −0.516012 | − | 0.856581i | \(-0.672584\pi\) |
0.875170 | − | 0.483815i | \(-0.160749\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.74832 | − | 2.16409i | −0.288332 | − | 0.166469i | ||||
\(170\) | 4.37017 | − | 1.17098i | 0.335177 | − | 0.0898104i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.0857746 | + | 0.320115i | −0.00654025 | + | 0.0244086i | ||||
\(173\) | 7.39692 | − | 12.8118i | 0.562377 | − | 0.974066i | −0.434911 | − | 0.900473i | \(-0.643220\pi\) |
0.997288 | − | 0.0735926i | \(-0.0234464\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.83638i | 0.365596i | ||||||||
\(176\) | 1.26734 | − | 2.19509i | 0.0955292 | − | 0.165461i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −12.6628 | + | 7.31084i | −0.949114 | + | 0.547971i | ||||
\(179\) | 3.22506 | − | 3.22506i | 0.241052 | − | 0.241052i | −0.576233 | − | 0.817285i | \(-0.695478\pi\) |
0.817285 | + | 0.576233i | \(0.195478\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.15144 | + | 8.92256i | 0.382904 | + | 0.663209i | 0.991476 | − | 0.130290i | \(-0.0415908\pi\) |
−0.608572 | + | 0.793498i | \(0.708257\pi\) | |||||||
\(182\) | 8.98800 | − | 5.18923i | 0.666235 | − | 0.384651i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.46868i | 0.329436i | ||||||||
\(185\) | −3.96006 | + | 14.8355i | −0.291149 | + | 1.09073i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.38807 | + | 1.17578i | −0.320888 | + | 0.0859816i | ||||
\(188\) | −2.19509 | − | 3.80201i | −0.160094 | − | 0.277290i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.91241 | + | 2.38807i | 0.646574 | + | 0.173249i | ||||
\(191\) | −0.0134861 | − | 0.0134861i | −0.000975822 | − | 0.000975822i | 0.706619 | − | 0.707595i | \(-0.250220\pi\) |
−0.707595 | + | 0.706619i | \(0.750220\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.946020 | + | 0.946020i | −0.0680960 | + | 0.0680960i | −0.740335 | − | 0.672239i | \(-0.765333\pi\) |
0.672239 | + | 0.740335i | \(0.265333\pi\) | |||||||
\(194\) | 1.03085 | + | 0.595163i | 0.0740109 | + | 0.0427302i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | − | 5.42096i | − | 0.387211i | ||||||
\(197\) | 10.2579 | + | 5.92242i | 0.730847 | + | 0.421955i | 0.818732 | − | 0.574176i | \(-0.194677\pi\) |
−0.0878850 | + | 0.996131i | \(0.528011\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.15796 | − | 6.15796i | −0.436527 | − | 0.436527i | 0.454315 | − | 0.890841i | \(-0.349884\pi\) |
−0.890841 | + | 0.454315i | \(0.849884\pi\) | |||||||
\(200\) | −0.355173 | − | 1.32552i | −0.0251145 | − | 0.0937286i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.42048 | − | 16.4975i | −0.311024 | − | 1.16076i | ||||
\(203\) | −0.189469 | − | 0.0507680i | −0.0132981 | − | 0.00356321i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −22.5955 | + | 6.05446i | −1.57814 | + | 0.422862i | ||||
\(206\) | 7.84701 | − | 13.5914i | 0.546727 | − | 0.946959i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.08228 | + | 2.08228i | −0.144380 | + | 0.144380i | ||||
\(209\) | −8.94891 | − | 2.39785i | −0.619009 | − | 0.165863i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.148428 | 0.0102182 | 0.00510911 | − | 0.999987i | \(-0.498374\pi\) | ||||
0.00510911 | + | 0.999987i | \(0.498374\pi\) | |||||||
\(212\) | 3.56995 | 0.245185 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.372281 | + | 0.372281i | 0.0254486 | + | 0.0254486i | ||||
\(215\) | −0.418292 | − | 0.724504i | −0.0285273 | − | 0.0494108i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.90434 | + | 14.5712i | −0.265044 | + | 0.989157i | ||||
\(218\) | 3.28556 | − | 1.89692i | 0.222526 | − | 0.128476i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.65602 | + | 6.18036i | 0.111649 | + | 0.416680i | ||||
\(221\) | 5.27792 | 0.355031 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 16.0747 | 1.07644 | 0.538219 | − | 0.842805i | \(-0.319097\pi\) | ||||
0.538219 | + | 0.842805i | \(0.319097\pi\) | |||||||
\(224\) | 0.912166 | + | 3.40425i | 0.0609466 | + | 0.227456i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.02167 | + | 1.74456i | −0.200999 | + | 0.116047i | ||||
\(227\) | −3.85296 | + | 14.3795i | −0.255730 | + | 0.954398i | 0.711953 | + | 0.702227i | \(0.247811\pi\) |
−0.967683 | + | 0.252170i | \(0.918856\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.9189 | − | 24.1083i | −0.919789 | − | 1.59312i | −0.799734 | − | 0.600354i | \(-0.795026\pi\) |
−0.120054 | − | 0.992767i | \(-0.538307\pi\) | |||||||
\(230\) | −7.97649 | − | 7.97649i | −0.525954 | − | 0.525954i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.0556565 | 0.00365403 | ||||||||
\(233\) | 16.6317 | 1.08958 | 0.544788 | − | 0.838574i | \(-0.316610\pi\) | ||||
0.544788 | + | 0.838574i | \(0.316610\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.7047 | + | 2.86832i | 0.698298 | + | 0.187108i | ||||
\(236\) | −6.72331 | + | 6.72331i | −0.437650 | + | 0.437650i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.15831 | − | 5.47036i | 0.204723 | − | 0.354591i | ||||
\(239\) | −2.55377 | + | 0.684281i | −0.165190 | + | 0.0442625i | −0.340466 | − | 0.940257i | \(-0.610585\pi\) |
0.175276 | + | 0.984519i | \(0.443918\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.80131 | − | 0.482659i | −0.116032 | − | 0.0310908i | 0.200336 | − | 0.979727i | \(-0.435797\pi\) |
−0.316368 | + | 0.948637i | \(0.602463\pi\) | |||||||
\(242\) | 1.18420 | + | 4.41951i | 0.0761235 | + | 0.284097i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.55217 | + | 9.52481i | 0.163386 | + | 0.609764i | ||||
\(245\) | 9.67628 | + | 9.67628i | 0.618195 | + | 0.618195i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 9.32158 | + | 5.38182i | 0.593118 | + | 0.342437i | ||||
\(248\) | − | 4.28030i | − | 0.271799i | ||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −7.93070 | − | 4.57879i | −0.501582 | − | 0.289588i | ||||
\(251\) | −7.55887 | + | 7.55887i | −0.477112 | + | 0.477112i | −0.904207 | − | 0.427095i | \(-0.859537\pi\) |
0.427095 | + | 0.904207i | \(0.359537\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.00916 | + | 8.00916i | 0.503532 | + | 0.503532i | ||||
\(254\) | −16.9170 | − | 4.53289i | −1.06146 | − | 0.284419i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −29.2710 | + | 7.84315i | −1.82588 | + | 0.489242i | −0.997483 | − | 0.0709030i | \(-0.977412\pi\) |
−0.828394 | + | 0.560145i | \(0.810745\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.7365 | + | 18.5554i | 0.667133 | + | 1.15298i | ||||
\(260\) | − | 7.43366i | − | 0.461016i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.41840 | + | 2.55097i | −0.272970 | + | 0.157599i | ||||
\(263\) | 8.57675 | + | 14.8554i | 0.528865 | + | 0.916021i | 0.999433 | + | 0.0336576i | \(0.0107156\pi\) |
−0.470568 | + | 0.882364i | \(0.655951\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.37228 | + | 6.37228i | −0.391446 | + | 0.391446i | ||||
\(266\) | 11.1561 | − | 6.44097i | 0.684024 | − | 0.394921i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 7.80626 | − | 13.5208i | 0.476844 | − | 0.825917i | ||||
\(269\) | 21.7135i | 1.32389i | 0.749551 | + | 0.661947i | \(0.230270\pi\) | ||||
−0.749551 | + | 0.661947i | \(0.769730\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.31058 | − | 7.46614i | 0.261849 | − | 0.453536i | −0.704884 | − | 0.709322i | \(-0.749001\pi\) |
0.966733 | + | 0.255787i | \(0.0823344\pi\) | |||||||
\(272\) | −0.463878 | + | 1.73122i | −0.0281267 | + | 0.104970i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 14.7875 | − | 3.96229i | 0.893343 | − | 0.239371i | ||||
\(275\) | −3.01229 | − | 1.73914i | −0.181648 | − | 0.104874i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.33652 | − | 8.72001i | 0.140388 | − | 0.523935i | −0.859530 | − | 0.511086i | \(-0.829243\pi\) |
0.999917 | − | 0.0128488i | \(-0.00409001\pi\) | |||||||
\(278\) | 5.36815 | − | 20.0342i | 0.321960 | − | 1.20157i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −7.70470 | − | 4.44831i | −0.460444 | − | 0.265837i | ||||
\(281\) | 12.8440 | − | 3.44155i | 0.766211 | − | 0.205306i | 0.145514 | − | 0.989356i | \(-0.453516\pi\) |
0.620697 | + | 0.784050i | \(0.286850\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.87604 | − | 10.7335i | 0.170963 | − | 0.638041i | −0.826241 | − | 0.563316i | \(-0.809525\pi\) |
0.997204 | − | 0.0747253i | \(-0.0238080\pi\) | |||||||
\(284\) | −2.05639 | + | 3.56178i | −0.122025 | + | 0.211353i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.46410i | 0.441362i | ||||||||
\(287\) | −16.3297 | + | 28.2839i | −0.963913 | + | 1.66955i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.9405 | + | 6.89385i | −0.702383 | + | 0.405521i | ||||
\(290\) | −0.0993456 | + | 0.0993456i | −0.00583377 | + | 0.00583377i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.04591 | + | 3.54362i | 0.119728 | + | 0.207375i | ||||
\(293\) | −23.0873 | + | 13.3295i | −1.34878 | + | 0.778716i | −0.988076 | − | 0.153966i | \(-0.950795\pi\) |
−0.360700 | + | 0.932682i | \(0.617462\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 24.0019i | − | 1.39744i | ||||||
\(296\) | −4.30525 | − | 4.29707i | −0.250237 | − | 0.249762i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −18.1377 | + | 4.85998i | −1.05069 | + | 0.281531i | ||||
\(299\) | −6.57967 | − | 11.3963i | −0.380512 | − | 0.659067i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.12819 | − | 0.302299i | −0.0650280 | − | 0.0174242i | ||||
\(302\) | −14.5873 | − | 14.5873i | −0.839407 | − | 0.839407i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.58457 | + | 2.58457i | −0.148235 | + | 0.148235i | ||||
\(305\) | −21.5571 | − | 12.4460i | −1.23436 | − | 0.712657i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 10.0904i | − | 0.575888i | −0.957647 | − | 0.287944i | \(-0.907028\pi\) | ||
0.957647 | − | 0.287944i | \(-0.0929717\pi\) | |||||||
\(308\) | 7.73625 | + | 4.46653i | 0.440814 | + | 0.254504i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 7.64023 | + | 7.64023i | 0.433936 | + | 0.433936i | ||||
\(311\) | 4.26071 | + | 15.9012i | 0.241603 | + | 0.901674i | 0.975061 | + | 0.221939i | \(0.0712385\pi\) |
−0.733458 | + | 0.679735i | \(0.762095\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.71141 | + | 21.3153i | 0.322828 | + | 1.20481i | 0.916477 | + | 0.400087i | \(0.131020\pi\) |
−0.593649 | + | 0.804724i | \(0.702313\pi\) | |||||||
\(314\) | −17.1481 | − | 4.59482i | −0.967724 | − | 0.259301i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.84445 | + | 0.762169i | −0.160013 | + | 0.0428754i | ||||
\(317\) | −12.7267 | + | 22.0432i | −0.714800 | + | 1.23807i | 0.248237 | + | 0.968699i | \(0.420149\pi\) |
−0.963037 | + | 0.269370i | \(0.913184\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.0997525 | − | 0.0997525i | 0.00558507 | − | 0.00558507i | ||||
\(320\) | 2.43832 | + | 0.653347i | 0.136306 | + | 0.0365232i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −15.7491 | −0.877665 | ||||||||
\(323\) | 6.55106 | 0.364511 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.85748 | + | 2.85748i | 0.158504 | + | 0.158504i | ||||
\(326\) | 12.0897 | + | 20.9399i | 0.669584 | + | 1.15975i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.39843 | − | 8.95108i | 0.132431 | − | 0.494240i | ||||
\(329\) | 13.3996 | − | 7.73625i | 0.738743 | − | 0.426513i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.96000 | − | 14.7789i | −0.217661 | − | 0.812322i | −0.985213 | − | 0.171335i | \(-0.945192\pi\) |
0.767552 | − | 0.640987i | \(-0.221475\pi\) | |||||||
\(332\) | −9.08060 | −0.498363 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −17.9328 | −0.981238 | ||||||||
\(335\) | 10.2004 | + | 38.0684i | 0.557307 | + | 2.07990i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 18.4528 | − | 10.6537i | 1.00519 | − | 0.580346i | 0.0954091 | − | 0.995438i | \(-0.469584\pi\) |
0.909779 | + | 0.415092i | \(0.136251\pi\) | |||||||
\(338\) | −1.12022 | + | 4.18071i | −0.0609318 | + | 0.227400i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.26217 | − | 3.91819i | −0.122683 | − | 0.212494i | ||||
\(341\) | −7.67152 | − | 7.67152i | −0.415436 | − | 0.415436i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.56508 | −0.300486 | ||||||||
\(344\) | 0.331408 | 0.0178683 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −14.2897 | − | 3.82893i | −0.768222 | − | 0.205844i | ||||
\(347\) | −9.93850 | + | 9.93850i | −0.533526 | + | 0.533526i | −0.921620 | − | 0.388094i | \(-0.873134\pi\) |
0.388094 | + | 0.921620i | \(0.373134\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.12590 | + | 3.68217i | −0.113797 | + | 0.197102i | −0.917298 | − | 0.398201i | \(-0.869635\pi\) |
0.803501 | + | 0.595303i | \(0.202968\pi\) | |||||||
\(350\) | 4.67159 | − | 1.25175i | 0.249707 | − | 0.0669087i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.44831 | − | 0.656023i | −0.130495 | − | 0.0349661i | ||||
\(353\) | −1.50496 | − | 5.61658i | −0.0801008 | − | 0.298940i | 0.914241 | − | 0.405172i | \(-0.132788\pi\) |
−0.994341 | + | 0.106231i | \(0.966122\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.68708 | − | 10.0283i | −0.142615 | − | 0.532247i | ||||
\(356\) | 10.3391 | + | 10.3391i | 0.547971 | + | 0.547971i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.94987 | − | 2.28046i | −0.208757 | − | 0.120526i | ||||
\(359\) | 9.45307i | 0.498914i | 0.968386 | + | 0.249457i | \(0.0802521\pi\) | ||||
−0.968386 | + | 0.249457i | \(0.919748\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.88434 | − | 2.81998i | −0.257071 | − | 0.148420i | ||||
\(362\) | 7.28524 | − | 7.28524i | 0.382904 | − | 0.382904i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −7.33867 | − | 7.33867i | −0.384651 | − | 0.384651i | ||||
\(365\) | −9.97718 | − | 2.67338i | −0.522229 | − | 0.139931i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.60386 | + | 11.4382i | 0.344719 | + | 0.597070i | 0.985303 | − | 0.170818i | \(-0.0546410\pi\) |
−0.640584 | + | 0.767888i | \(0.721308\pi\) | |||||||
\(368\) | 4.31641 | − | 1.15658i | 0.225009 | − | 0.0602909i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 15.3549 | − | 0.0145914i | 0.798265 | − | 0.000758571i | ||||
\(371\) | 12.5817i | 0.653210i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −24.8365 | + | 14.3394i | −1.28599 | + | 0.742464i | −0.977936 | − | 0.208906i | \(-0.933010\pi\) |
−0.308049 | + | 0.951370i | \(0.599676\pi\) | |||||||
\(374\) | 2.27143 | + | 3.93424i | 0.117453 | + | 0.203435i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.10433 | + | 3.10433i | −0.160094 | + | 0.160094i | ||||
\(377\) | −0.141939 | + | 0.0819485i | −0.00731023 | + | 0.00422056i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.66853 | + | 6.35409i | −0.188440 | + | 0.326388i | −0.944730 | − | 0.327849i | \(-0.893676\pi\) |
0.756290 | + | 0.654236i | \(0.227010\pi\) | |||||||
\(380\) | − | 9.22681i | − | 0.473325i | ||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.00953613 | + | 0.0165171i | −0.000487911 | + | 0.000845087i | ||||
\(383\) | 4.76950 | − | 17.8000i | 0.243710 | − | 0.909539i | −0.730317 | − | 0.683108i | \(-0.760628\pi\) |
0.974027 | − | 0.226430i | \(-0.0727056\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −21.7817 | + | 5.83638i | −1.11010 | + | 0.297450i | ||||
\(386\) | 1.15863 | + | 0.668937i | 0.0589729 | + | 0.0340480i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.308079 | − | 1.14977i | 0.0156403 | − | 0.0583706i | ||||
\(389\) | 5.28310 | − | 19.7168i | 0.267864 | − | 0.999681i | −0.692610 | − | 0.721312i | \(-0.743539\pi\) |
0.960474 | − | 0.278369i | \(-0.0897939\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.93614 | − | 4.00458i | −0.350775 | − | 0.202520i | ||||
\(392\) | −5.23624 | + | 1.40305i | −0.264470 | + | 0.0708646i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.06567 | − | 11.4412i | 0.154446 | − | 0.576401i | ||||
\(395\) | 3.71683 | − | 6.43773i | 0.187014 | − | 0.323918i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 38.0722i | − | 1.91079i | −0.295329 | − | 0.955396i | \(-0.595429\pi\) | ||
0.295329 | − | 0.955396i | \(-0.404571\pi\) | |||||||
\(398\) | −4.35434 | + | 7.54194i | −0.218263 | + | 0.378043i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.18843 | + | 0.686141i | −0.0594215 | + | 0.0343070i | ||||
\(401\) | −4.23616 | + | 4.23616i | −0.211544 | + | 0.211544i | −0.804923 | − | 0.593379i | \(-0.797793\pi\) |
0.593379 | + | 0.804923i | \(0.297793\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.30230 | + | 10.9159i | 0.313940 | + | 0.543760i | ||||
\(404\) | −14.7912 | + | 8.53971i | −0.735891 | + | 0.424867i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.196152i | 0.00973488i | ||||||||
\(407\) | −15.4178 | + | 0.0146512i | −0.764233 | + | 0.000726232i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.92424 | + | 2.65919i | −0.490722 | + | 0.131489i | −0.495691 | − | 0.868499i | \(-0.665085\pi\) |
0.00496879 | + | 0.999988i | \(0.498418\pi\) | |||||||
\(410\) | 11.6963 | + | 20.2586i | 0.577640 | + | 1.00050i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −15.1593 | − | 4.06191i | −0.746843 | − | 0.200116i | ||||
\(413\) | −23.6952 | − | 23.6952i | −1.16597 | − | 1.16597i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 16.2087 | − | 16.2087i | 0.795652 | − | 0.795652i | ||||
\(416\) | 2.55027 | + | 1.47240i | 0.125037 | + | 0.0721902i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 9.26460i | 0.453146i | ||||||||
\(419\) | 17.8075 | + | 10.2812i | 0.869954 | + | 0.502268i | 0.867333 | − | 0.497728i | \(-0.165832\pi\) |
0.00262133 | + | 0.999997i | \(0.499166\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.4397 | − | 11.4397i | −0.557536 | − | 0.557536i | 0.371069 | − | 0.928605i | \(-0.378991\pi\) |
−0.928605 | + | 0.371069i | \(0.878991\pi\) | |||||||
\(422\) | −0.0384160 | − | 0.143371i | −0.00187006 | − | 0.00697917i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.923972 | − | 3.44831i | −0.0448720 | − | 0.167465i | ||||
\(425\) | 2.37572 | + | 0.636571i | 0.115239 | + | 0.0308782i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −33.5687 | + | 8.99470i | −1.62450 | + | 0.435284i | ||||
\(428\) | 0.263243 | − | 0.455950i | 0.0127243 | − | 0.0220392i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.591555 | + | 0.591555i | −0.0285273 | + | 0.0285273i | ||||
\(431\) | −5.43828 | − | 1.45718i | −0.261953 | − | 0.0701900i | 0.125452 | − | 0.992100i | \(-0.459962\pi\) |
−0.387405 | + | 0.921910i | \(0.626628\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −3.26700 | −0.157002 | −0.0785010 | − | 0.996914i | \(-0.525013\pi\) | ||||
−0.0785010 | + | 0.996914i | \(0.525013\pi\) | |||||||
\(434\) | 15.0852 | 0.724114 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.68265 | − | 2.68265i | −0.128476 | − | 0.128476i | ||||
\(437\) | −8.16683 | − | 14.1454i | −0.390672 | − | 0.676664i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.858221 | + | 3.20292i | −0.0409606 | + | 0.152867i | −0.983377 | − | 0.181574i | \(-0.941881\pi\) |
0.942417 | + | 0.334441i | \(0.108548\pi\) | |||||||
\(440\) | 5.54116 | − | 3.19919i | 0.264164 | − | 0.152515i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.36603 | − | 5.09808i | −0.0649752 | − | 0.242491i | ||||
\(443\) | 7.45001 | 0.353960 | 0.176980 | − | 0.984214i | \(-0.443367\pi\) | ||||
0.176980 | + | 0.984214i | \(0.443367\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −36.9101 | −1.74971 | ||||||||
\(446\) | −4.16043 | − | 15.5269i | −0.197002 | − | 0.735221i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 3.05217 | − | 1.76217i | 0.144201 | − | 0.0832547i | ||||
\(449\) | 7.38745 | − | 27.5703i | 0.348635 | − | 1.30112i | −0.539672 | − | 0.841875i | \(-0.681452\pi\) |
0.888307 | − | 0.459249i | \(-0.151882\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.7442 | − | 20.3416i | −0.553013 | − | 0.957847i | ||||
\(452\) | 2.46718 | + | 2.46718i | 0.116047 | + | 0.116047i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 14.8867 | 0.698668 | ||||||||
\(455\) | 26.1987 | 1.22821 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 25.8888 | + | 6.93689i | 1.21103 | + | 0.324494i | 0.807165 | − | 0.590326i | \(-0.201001\pi\) |
0.403863 | + | 0.914820i | \(0.367667\pi\) | |||||||
\(458\) | −19.6843 | + | 19.6843i | −0.919789 | + | 0.919789i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −5.64023 | + | 9.76917i | −0.262977 | + | 0.455490i | ||||
\(461\) | −16.0558 | + | 4.30214i | −0.747793 | + | 0.200371i | −0.612539 | − | 0.790440i | \(-0.709852\pi\) |
−0.135254 | + | 0.990811i | \(0.543185\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 29.5438 | + | 7.91625i | 1.37302 | + | 0.367899i | 0.868580 | − | 0.495548i | \(-0.165033\pi\) |
0.504439 | + | 0.863448i | \(0.331699\pi\) | |||||||
\(464\) | −0.0144050 | − | 0.0537601i | −0.000668734 | − | 0.00249575i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.30459 | − | 16.0649i | −0.199406 | − | 0.744194i | ||||
\(467\) | −12.3057 | − | 12.3057i | −0.569438 | − | 0.569438i | 0.362533 | − | 0.931971i | \(-0.381912\pi\) |
−0.931971 | + | 0.362533i | \(0.881912\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 47.6520 | + | 27.5119i | 2.20037 | + | 1.27038i | ||||
\(470\) | − | 11.0823i | − | 0.511189i | ||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8.23434 | + | 4.75410i | 0.379016 | + | 0.218825i | ||||
\(473\) | 0.593978 | − | 0.593978i | 0.0273111 | − | 0.0273111i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.54676 | + | 3.54676i | 0.162737 | + | 0.162737i | ||||
\(476\) | −6.10139 | − | 1.63486i | −0.279657 | − | 0.0749338i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 1.32193 | + | 2.28965i | 0.0604636 | + | 0.104726i | ||||
\(479\) | 14.3266 | − | 3.83880i | 0.654600 | − | 0.175399i | 0.0837920 | − | 0.996483i | \(-0.473297\pi\) |
0.570808 | + | 0.821084i | \(0.306630\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 17.3065 | + | 4.61965i | 0.789110 | + | 0.210638i | ||||
\(482\) | 1.86485i | 0.0849417i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.96243 | − | 2.28771i | 0.180110 | − | 0.103987i | ||||
\(485\) | 1.50239 | + | 2.60222i | 0.0682201 | + | 0.118161i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 17.2504 | − | 17.2504i | 0.781688 | − | 0.781688i | −0.198427 | − | 0.980116i | \(-0.563583\pi\) |
0.980116 | + | 0.198427i | \(0.0635834\pi\) | |||||||
\(488\) | 8.53971 | − | 4.93041i | 0.386575 | − | 0.223189i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6.84216 | − | 11.8510i | 0.309097 | − | 0.535372i | ||||
\(491\) | 11.8443i | 0.534528i | 0.963623 | + | 0.267264i | \(0.0861195\pi\) | ||||
−0.963623 | + | 0.267264i | \(0.913880\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.0498762 | + | 0.0863882i | −0.00224631 | + | 0.00389073i | ||||
\(494\) | 2.78583 | − | 10.3969i | 0.125341 | − | 0.467777i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.13445 | + | 1.10782i | −0.185642 | + | 0.0497427i | ||||
\(497\) | −12.5529 | − | 7.24743i | −0.563075 | − | 0.325091i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −8.14435 | + | 30.3951i | −0.364591 | + | 1.36067i | 0.503383 | + | 0.864063i | \(0.332089\pi\) |
−0.867974 | + | 0.496609i | \(0.834578\pi\) | |||||||
\(500\) | −2.37016 | + | 8.84555i | −0.105997 | + | 0.395585i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 9.25769 | + | 5.34493i | 0.413191 | + | 0.238556i | ||||
\(503\) | 22.7619 | − | 6.09902i | 1.01490 | − | 0.271942i | 0.287225 | − | 0.957863i | \(-0.407267\pi\) |
0.727676 | + | 0.685921i | \(0.240601\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11.1588 | − | 41.6452i | 0.496560 | − | 1.85319i | ||||
\(506\) | 5.66333 | − | 9.80918i | 0.251766 | − | 0.436071i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 17.5137i | 0.777046i | ||||||||
\(509\) | 5.46574 | − | 9.46694i | 0.242265 | − | 0.419615i | −0.719094 | − | 0.694912i | \(-0.755443\pi\) |
0.961359 | + | 0.275298i | \(0.0887765\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −12.4889 | + | 7.21048i | −0.552477 | + | 0.318973i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.1518 | + | 26.2437i | 0.668318 | + | 1.15756i | ||||
\(515\) | 34.3093 | − | 19.8085i | 1.51185 | − | 0.872867i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 11.1277i | 0.489396i | ||||||||
\(518\) | 15.1443 | − | 15.1731i | 0.665404 | − | 0.666670i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7.18036 | + | 1.92397i | −0.314880 | + | 0.0843717i | ||||
\(521\) | 16.6146 | + | 28.7774i | 0.727900 | + | 1.26076i | 0.957769 | + | 0.287539i | \(0.0928369\pi\) |
−0.229869 | + | 0.973222i | \(0.573830\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 24.5115 | + | 6.56785i | 1.07181 | + | 0.287192i | 0.751238 | − | 0.660031i | \(-0.229457\pi\) |
0.320576 | + | 0.947223i | \(0.396123\pi\) | |||||||
\(524\) | 3.60761 | + | 3.60761i | 0.157599 | + | 0.157599i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.1294 | − | 12.1294i | 0.528865 | − | 0.528865i | ||||
\(527\) | 6.64373 | + | 3.83576i | 0.289406 | + | 0.167088i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 3.03089i | − | 0.131778i | ||||||
\(530\) | 7.80442 | + | 4.50588i | 0.339002 | + | 0.195723i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −9.10891 | − | 9.10891i | −0.394921 | − | 0.394921i | ||||
\(533\) | 7.06289 | + | 26.3591i | 0.305928 | + | 1.14174i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.343977 | + | 1.28374i | 0.0148714 | + | 0.0555010i | ||||
\(536\) | −15.0805 | − | 4.04082i | −0.651380 | − | 0.174537i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 20.9736 | − | 5.61986i | 0.904236 | − | 0.242289i | ||||
\(539\) | −6.87019 | + | 11.8995i | −0.295920 | + | 0.512548i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.44575 | + | 9.44575i | −0.406105 | + | 0.406105i | −0.880378 | − | 0.474273i | \(-0.842711\pi\) |
0.474273 | + | 0.880378i | \(0.342711\pi\) | |||||||
\(542\) | −8.32740 | − | 2.23132i | −0.357692 | − | 0.0958434i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.79229 | 0.0768437 | ||||||||
\(545\) | 9.57693 | 0.410231 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.8545 | − | 11.8545i | −0.506864 | − | 0.506864i | 0.406699 | − | 0.913562i | \(-0.366680\pi\) |
−0.913562 | + | 0.406699i | \(0.866680\pi\) | |||||||
\(548\) | −7.65455 | − | 13.2581i | −0.326986 | − | 0.566357i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.900248 | + | 3.35977i | −0.0383867 | + | 0.143261i | ||||
\(551\) | −0.176178 | + | 0.101716i | −0.00750542 | + | 0.00433326i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.68614 | − | 10.0248i | −0.114226 | − | 0.426298i | ||||
\(554\) | −9.02762 | −0.383547 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −20.7409 | −0.879612 | ||||||||
\(557\) | 2.77230 | + | 10.3464i | 0.117466 | + | 0.438389i | 0.999460 | − | 0.0328724i | \(-0.0104655\pi\) |
−0.881994 | + | 0.471261i | \(0.843799\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.845178 | + | 0.487964i | −0.0357472 | + | 0.0206387i | ||||
\(560\) | −2.30261 | + | 8.59347i | −0.0973032 | + | 0.363141i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.64857 | − | 11.5157i | −0.280453 | − | 0.485759i | ||||
\(563\) | −0.836585 | − | 0.836585i | −0.0352579 | − | 0.0352579i | 0.689258 | − | 0.724516i | \(-0.257937\pi\) |
−0.724516 | + | 0.689258i | \(0.757937\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −8.80773 | −0.370544 | ||||||||
\(566\) | −11.1122 | −0.467079 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.97265 | + | 1.06447i | 0.166689 | + | 0.0446641i | ||||
\(569\) | 17.1141 | − | 17.1141i | 0.717462 | − | 0.717462i | −0.250623 | − | 0.968085i | \(-0.580635\pi\) |
0.968085 | + | 0.250623i | \(0.0806353\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.4619 | + | 26.7808i | −0.647061 | + | 1.12074i | 0.336761 | + | 0.941590i | \(0.390669\pi\) |
−0.983821 | + | 0.179152i | \(0.942665\pi\) | |||||||
\(572\) | 7.20977 | − | 1.93185i | 0.301456 | − | 0.0807748i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 31.5466 | + | 8.45289i | 1.31673 | + | 0.352817i | ||||
\(575\) | −1.58715 | − | 5.92334i | −0.0661889 | − | 0.247020i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.77757 | − | 10.3660i | −0.115632 | − | 0.431543i | 0.883702 | − | 0.468051i | \(-0.155043\pi\) |
−0.999333 | + | 0.0365072i | \(0.988377\pi\) | |||||||
\(578\) | 9.74938 | + | 9.74938i | 0.405521 | + | 0.405521i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.121673 | + | 0.0702479i | 0.00505220 | + | 0.00291689i | ||||
\(581\) | − | 32.0031i | − | 1.32771i | ||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7.83638 | − | 4.52434i | −0.324550 | − | 0.187379i | ||||
\(584\) | 2.89335 | − | 2.89335i | 0.119728 | − | 0.119728i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 18.8507 | + | 18.8507i | 0.778716 | + | 0.778716i | ||||
\(587\) | −16.3756 | − | 4.38782i | −0.675892 | − | 0.181105i | −0.0954843 | − | 0.995431i | \(-0.530440\pi\) |
−0.580407 | + | 0.814326i | \(0.697107\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.82254 | + | 13.5490i | 0.322322 | + | 0.558279i | ||||
\(590\) | −23.1841 | + | 6.21215i | −0.954473 | + | 0.255750i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.03637 | + | 5.27071i | −0.124794 | + | 0.216625i | ||||
\(593\) | − | 6.35970i | − | 0.261161i | −0.991438 | − | 0.130581i | \(-0.958316\pi\) | ||
0.991438 | − | 0.130581i | \(-0.0416842\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 13.8090 | − | 7.97265i | 0.566115 | − | 0.326847i | ||||
\(596\) | 9.38876 | + | 16.2618i | 0.384579 | + | 0.666110i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −9.30506 | + | 9.30506i | −0.380512 | + | 0.380512i | ||||
\(599\) | 10.7025 | − | 6.17908i | 0.437291 | − | 0.252470i | −0.265157 | − | 0.964205i | \(-0.585424\pi\) |
0.702448 | + | 0.711735i | \(0.252090\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.18230 | − | 15.9042i | 0.374554 | − | 0.648746i | −0.615706 | − | 0.787976i | \(-0.711129\pi\) |
0.990260 | + | 0.139229i | \(0.0444625\pi\) | |||||||
\(602\) | 1.16799i | 0.0476038i | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −10.3148 | + | 17.8658i | −0.419704 | + | 0.726948i | ||||
\(605\) | −2.98933 | + | 11.1563i | −0.121534 | + | 0.453570i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −33.0032 | + | 8.84317i | −1.33956 | + | 0.358933i | −0.856270 | − | 0.516529i | \(-0.827224\pi\) |
−0.483287 | + | 0.875462i | \(0.660557\pi\) | |||||||
\(608\) | 3.16544 | + | 1.82757i | 0.128376 | + | 0.0741177i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −6.44253 | + | 24.0438i | −0.260850 | + | 0.973507i | ||||
\(611\) | 3.34607 | − | 12.4877i | 0.135367 | − | 0.505198i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.7888 | + | 9.11564i | 0.637702 | + | 0.368177i | 0.783729 | − | 0.621103i | \(-0.213315\pi\) |
−0.146027 | + | 0.989281i | \(0.546649\pi\) | |||||||
\(614\) | −9.74655 | + | 2.61158i | −0.393339 | + | 0.105395i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.31205 | − | 8.62867i | 0.0931550 | − | 0.347659i | ||||
\(617\) | 17.4572 | − | 30.2368i | 0.702800 | − | 1.21729i | −0.264679 | − | 0.964337i | \(-0.585266\pi\) |
0.967479 | − | 0.252949i | \(-0.0814006\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 19.1280i | 0.768819i | 0.923163 | + | 0.384409i | \(0.125595\pi\) | ||||
−0.923163 | + | 0.384409i | \(0.874405\pi\) | |||||||
\(620\) | 5.40246 | − | 9.35733i | 0.216968 | − | 0.375800i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 14.2566 | − | 8.23106i | 0.571638 | − | 0.330035i | ||||
\(623\) | −36.4385 | + | 36.4385i | −1.45988 | + | 1.45988i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −14.9891 | − | 25.9619i | −0.599565 | − | 1.03848i | ||||
\(626\) | 19.1108 | − | 11.0336i | 0.763820 | − | 0.440992i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 17.7530i | 0.708423i | ||||||||
\(629\) | 10.5279 | − | 2.83167i | 0.419775 | − | 0.112906i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −33.4000 | + | 8.94951i | −1.32963 | + | 0.356274i | −0.852579 | − | 0.522599i | \(-0.824963\pi\) |
−0.477055 | + | 0.878873i | \(0.658296\pi\) | |||||||
\(632\) | 1.47240 | + | 2.55027i | 0.0585688 | + | 0.101444i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 24.5860 | + | 6.58780i | 0.976435 | + | 0.261635i | ||||
\(635\) | −31.2616 | − | 31.2616i | −1.24058 | − | 1.24058i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11.2880 | − | 11.2880i | 0.447246 | − | 0.447246i | ||||
\(638\) | −0.122171 | − | 0.0705357i | −0.00483681 | − | 0.00279253i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | − | 2.52434i | − | 0.0997832i | ||||||
\(641\) | 37.4676 | + | 21.6319i | 1.47988 | + | 0.854410i | 0.999740 | − | 0.0227821i | \(-0.00725241\pi\) |
0.480140 | + | 0.877192i | \(0.340586\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −26.5503 | − | 26.5503i | −1.04704 | − | 1.04704i | −0.998838 | − | 0.0482028i | \(-0.984651\pi\) |
−0.0482028 | − | 0.998838i | \(-0.515349\pi\) | |||||||
\(644\) | 4.07618 | + | 15.2125i | 0.160624 | + | 0.599457i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.69554 | − | 6.32784i | −0.0667101 | − | 0.248965i | ||||
\(647\) | 4.43138 | + | 1.18739i | 0.174216 | + | 0.0466809i | 0.344872 | − | 0.938650i | \(-0.387922\pi\) |
−0.170657 | + | 0.985331i | \(0.554589\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 23.2790 | − | 6.23759i | 0.913781 | − | 0.244847i | ||||
\(650\) | 2.02054 | − | 3.49968i | 0.0792522 | − | 0.137269i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 17.0974 | − | 17.0974i | 0.669584 | − | 0.669584i | ||||
\(653\) | −37.5512 | − | 10.0618i | −1.46949 | − | 0.393750i | −0.566736 | − | 0.823900i | \(-0.691794\pi\) |
−0.902757 | + | 0.430150i | \(0.858461\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −12.8790 | −0.503224 | ||||||||
\(656\) | −9.26683 | −0.361809 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −10.9407 | − | 10.9407i | −0.426513 | − | 0.426513i | ||||
\(659\) | −23.7957 | − | 41.2154i | −0.926950 | − | 1.60552i | −0.788395 | − | 0.615170i | \(-0.789087\pi\) |
−0.138555 | − | 0.990355i | \(-0.544246\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.1078 | + | 37.7230i | −0.393150 | + | 1.46725i | 0.431759 | + | 0.901989i | \(0.357893\pi\) |
−0.824909 | + | 0.565266i | \(0.808774\pi\) | |||||||
\(662\) | −13.2504 | + | 7.65013i | −0.514992 | + | 0.297331i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.35023 | + | 8.77119i | 0.0912067 | + | 0.340388i | ||||
\(665\) | 32.5184 | 1.26101 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.248711 | 0.00963014 | ||||||||
\(668\) | 4.64135 | + | 17.3217i | 0.179579 | + | 0.670198i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 34.1312 | − | 19.7056i | 1.31860 | − | 0.761296i | ||||
\(671\) | 6.46892 | − | 24.1423i | 0.249730 | − | 0.932004i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 16.1385 | + | 27.9527i | 0.622094 | + | 1.07750i | 0.989095 | + | 0.147278i | \(0.0470512\pi\) |
−0.367001 | + | 0.930221i | \(0.619615\pi\) | |||||||
\(674\) | −15.0667 | − | 15.0667i | −0.580346 | − | 0.580346i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.32819 | 0.166469 | ||||||||
\(677\) | −2.66637 | −0.102477 | −0.0512384 | − | 0.998686i | \(-0.516317\pi\) | ||||
−0.0512384 | + | 0.998686i | \(0.516317\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.05217 | + | 1.08577i | 0.155508 | + | 0.0416682i | ||||
\(680\) | −3.19919 | + | 3.19919i | −0.122683 | + | 0.122683i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.42459 | + | 9.39566i | −0.207718 | + | 0.359778i | ||||
\(683\) | −32.2749 | + | 8.64804i | −1.23497 | + | 0.330908i | −0.816511 | − | 0.577330i | \(-0.804095\pi\) |
−0.418454 | + | 0.908238i | \(0.637428\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 37.3285 | + | 10.0022i | 1.42625 | + | 0.382163i | ||||
\(686\) | 1.44035 | + | 5.37546i | 0.0549928 | + | 0.205236i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.0857746 | − | 0.320115i | −0.00327013 | − | 0.0122043i | ||||
\(689\) | 7.43366 | + | 7.43366i | 0.283200 | + | 0.283200i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 25.1394 | + | 14.5142i | 0.956348 | + | 0.552148i | 0.895047 | − | 0.445971i | \(-0.147142\pi\) |
0.0613009 | + | 0.998119i | \(0.480475\pi\) | |||||||
\(692\) | 14.7938i | 0.562377i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 12.1721 | + | 7.02758i | 0.462047 | + | 0.266763i | ||||
\(695\) | 37.0221 | − | 37.0221i | 1.40433 | − | 1.40433i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 11.7442 | + | 11.7442i | 0.444844 | + | 0.444844i | ||||
\(698\) | 4.10693 | + | 1.10045i | 0.155450 | + | 0.0416526i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.41819 | − | 4.18843i | −0.0913990 | − | 0.158308i | ||||
\(701\) | 36.2834 | − | 9.72211i | 1.37041 | − | 0.367199i | 0.502779 | − | 0.864415i | \(-0.332311\pi\) |
0.867627 | + | 0.497216i | \(0.165644\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 21.4812 | + | 5.73400i | 0.810180 | + | 0.216262i | ||||
\(704\) | 2.53468i | 0.0955292i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.03569 | + | 2.90736i | −0.189521 | + | 0.109420i | ||||
\(707\) | −30.0968 | − | 52.1293i | −1.13191 | − | 1.96052i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.2693 | − | 12.2693i | 0.460782 | − | 0.460782i | −0.438129 | − | 0.898912i | \(-0.644359\pi\) |
0.898912 | + | 0.438129i | \(0.144359\pi\) | |||||||
\(710\) | −8.99113 | + | 5.19103i | −0.337431 | + | 0.194816i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 7.31084 | − | 12.6628i | 0.273985 | − | 0.474557i | ||||
\(713\) | − | 19.1273i | − | 0.716323i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.42096 | + | 16.3176i | −0.352324 | + | 0.610243i | ||||
\(716\) | −1.18045 | + | 4.40551i | −0.0441156 | + | 0.164642i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 9.13096 | − | 2.44663i | 0.340764 | − | 0.0913075i | ||||
\(719\) | 41.7219 | + | 24.0881i | 1.55596 | + | 0.898336i | 0.997636 | + | 0.0687149i | \(0.0218899\pi\) |
0.558327 | + | 0.829621i | \(0.311443\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.3156 | − | 53.4264i | 0.533139 | − | 1.98970i | ||||
\(722\) | −1.45973 | + | 5.44778i | −0.0543254 | + | 0.202745i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −8.92256 | − | 5.15144i | −0.331604 | − | 0.191452i | ||||
\(725\) | −0.0737740 | + | 0.0197677i | −0.00273990 | + | 0.000734153i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.61434 | − | 24.6851i | 0.245312 | − | 0.915518i | −0.727914 | − | 0.685669i | \(-0.759510\pi\) |
0.973226 | − | 0.229850i | \(-0.0738235\pi\) | |||||||
\(728\) | −5.18923 | + | 8.98800i | −0.192325 | + | 0.333118i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 10.3291i | 0.382298i | ||||||||
\(731\) | −0.296989 | + | 0.514400i | −0.0109845 | + | 0.0190258i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 22.6612 | − | 13.0834i | 0.837010 | − | 0.483248i | −0.0192366 | − | 0.999815i | \(-0.506124\pi\) |
0.856247 | + | 0.516567i | \(0.172790\pi\) | |||||||
\(734\) | 9.33926 | − | 9.33926i | 0.344719 | − | 0.344719i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.23434 | − | 3.86999i | −0.0823589 | − | 0.142650i | ||||
\(737\) | −34.2710 | + | 19.7864i | −1.26239 | + | 0.728840i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 9.69779i | 0.356739i | 0.983964 | + | 0.178369i | \(0.0570822\pi\) | ||||
−0.983964 | + | 0.178369i | \(0.942918\pi\) | |||||||
\(740\) | −3.98825 | − | 14.8280i | −0.146611 | − | 0.545087i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 12.1530 | − | 3.25639i | 0.446151 | − | 0.119546i | ||||
\(743\) | 10.9128 | + | 18.9015i | 0.400352 | + | 0.693430i | 0.993768 | − | 0.111465i | \(-0.0355544\pi\) |
−0.593416 | + | 0.804896i | \(0.702221\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −45.7857 | − | 12.2682i | −1.67746 | − | 0.449473i | ||||
\(746\) | 20.2789 | + | 20.2789i | 0.742464 | + | 0.742464i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.21229 | − | 3.21229i | 0.117453 | − | 0.117453i | ||||
\(749\) | 1.60692 | + | 0.927756i | 0.0587156 | + | 0.0338995i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 48.6131i | 1.77392i | 0.461847 | + | 0.886959i | \(0.347187\pi\) | ||||
−0.461847 | + | 0.886959i | \(0.652813\pi\) | |||||||
\(752\) | 3.80201 | + | 2.19509i | 0.138645 | + | 0.0800469i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.115893 | + | 0.115893i | 0.00422056 | + | 0.00422056i | ||||
\(755\) | −13.4783 | − | 50.3017i | −0.490525 | − | 1.83067i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.39990 | + | 20.1527i | 0.196263 | + | 0.732462i | 0.991936 | + | 0.126737i | \(0.0404504\pi\) |
−0.795674 | + | 0.605725i | \(0.792883\pi\) | |||||||
\(758\) | 7.08706 | + | 1.89897i | 0.257414 | + | 0.0689738i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −8.91241 | + | 2.38807i | −0.323287 | + | 0.0866245i | ||||
\(761\) | −13.6128 | + | 23.5781i | −0.493465 | + | 0.854706i | −0.999972 | − | 0.00752959i | \(-0.997603\pi\) |
0.506507 | + | 0.862236i | \(0.330937\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 9.45457 | − | 9.45457i | 0.342278 | − | 0.342278i | ||||
\(764\) | 0.0184224 | + | 0.00493627i | 0.000666499 | + | 0.000178588i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −18.4279 | −0.665828 | ||||||||
\(767\) | −27.9997 | −1.01101 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 24.6006 | + | 24.6006i | 0.887120 | + | 0.887120i | 0.994246 | − | 0.107125i | \(-0.0341647\pi\) |
−0.107125 | + | 0.994246i | \(0.534165\pi\) | |||||||
\(770\) | 11.2750 | + | 19.5289i | 0.406324 | + | 0.703773i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.346267 | − | 1.29229i | 0.0124624 | − | 0.0465104i | ||||
\(773\) | −4.69967 | + | 2.71335i | −0.169035 | + | 0.0975926i | −0.582131 | − | 0.813095i | \(-0.697781\pi\) |
0.413096 | + | 0.910688i | \(0.364448\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.52024 | + | 5.67363i | 0.0546088 | + | 0.203803i | ||||
\(776\) | −1.19033 | −0.0427302 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −20.4123 | −0.731817 | ||||||||
\(779\) | 8.76661 | + | 32.7174i | 0.314096 | + | 1.17222i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.02796 | − | 5.21229i | 0.323046 | − | 0.186510i | ||||
\(782\) | −2.07292 | + | 7.73625i | −0.0741276 | + | 0.276648i | ||||
\(783\) | 0 | 0 |