Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(67,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.e (of order \(3\), degree \(2\), not 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: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.1783323.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 5x^{4} - 2x^{3} + 19x^{2} - 12x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 177.1 | ||
Root | \(1.09935 + 1.90412i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 539.177 |
Dual form | 539.2.e.l.67.1 |
$q$-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 \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(442\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.917122 | + | 1.58850i | −0.648503 | + | 1.12324i | 0.334978 | + | 0.942226i | \(0.391271\pi\) |
−0.983481 | + | 0.181014i | \(0.942062\pi\) | |||||||
\(3\) | −1.09935 | − | 1.90412i | −0.634707 | − | 1.09935i | −0.986577 | − | 0.163297i | \(-0.947787\pi\) |
0.351870 | − | 0.936049i | \(-0.385546\pi\) | |||||||
\(4\) | −0.682224 | − | 1.18165i | −0.341112 | − | 0.590823i | ||||
\(5\) | −0.317776 | + | 0.550404i | −0.142114 | + | 0.246148i | −0.928292 | − | 0.371851i | \(-0.878723\pi\) |
0.786179 | + | 0.617999i | \(0.212057\pi\) | |||||||
\(6\) | 4.03293 | 1.64644 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.16576 | −0.412157 | ||||||||
\(9\) | −0.917122 | + | 1.58850i | −0.305707 | + | 0.529500i | ||||
\(10\) | −0.582878 | − | 1.00958i | −0.184322 | − | 0.319256i | ||||
\(11\) | 0.500000 | + | 0.866025i | 0.150756 | + | 0.261116i | ||||
\(12\) | −1.50000 | + | 2.59808i | −0.433013 | + | 0.750000i | ||||
\(13\) | 1.80131 | 0.499593 | 0.249797 | − | 0.968298i | \(-0.419636\pi\) | ||||
0.249797 | + | 0.968298i | \(0.419636\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.39738 | 0.360803 | ||||||||
\(16\) | 2.43359 | − | 4.21510i | 0.608397 | − | 1.05377i | ||||
\(17\) | −1.41712 | − | 2.45453i | −0.343702 | − | 0.595310i | 0.641415 | − | 0.767194i | \(-0.278348\pi\) |
−0.985117 | + | 0.171884i | \(0.945014\pi\) | |||||||
\(18\) | −1.68222 | − | 2.91370i | −0.396504 | − | 0.686765i | ||||
\(19\) | −2.78157 | + | 4.81782i | −0.638136 | + | 1.10528i | 0.347706 | + | 0.937604i | \(0.386961\pi\) |
−0.985841 | + | 0.167680i | \(0.946372\pi\) | |||||||
\(20\) | 0.867178 | 0.193907 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.83424 | −0.391062 | ||||||||
\(23\) | −1.08288 | + | 1.87560i | −0.225796 | + | 0.391090i | −0.956558 | − | 0.291542i | \(-0.905832\pi\) |
0.730762 | + | 0.682632i | \(0.239165\pi\) | |||||||
\(24\) | 1.28157 | + | 2.21974i | 0.261599 | + | 0.453103i | ||||
\(25\) | 2.29804 | + | 3.98032i | 0.459607 | + | 0.796063i | ||||
\(26\) | −1.65202 | + | 2.86138i | −0.323988 | + | 0.561163i | ||||
\(27\) | −2.56314 | −0.493276 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −10.4303 | −1.93686 | −0.968431 | − | 0.249283i | \(-0.919805\pi\) | ||||
−0.968431 | + | 0.249283i | \(0.919805\pi\) | |||||||
\(30\) | −1.28157 | + | 2.21974i | −0.233982 | + | 0.405268i | ||||
\(31\) | 3.21516 | + | 5.56882i | 0.577460 | + | 1.00019i | 0.995770 | + | 0.0918849i | \(0.0292892\pi\) |
−0.418310 | + | 0.908304i | \(0.637377\pi\) | |||||||
\(32\) | 3.29804 | + | 5.71237i | 0.583016 | + | 1.00981i | ||||
\(33\) | 1.09935 | − | 1.90412i | 0.191372 | − | 0.331465i | ||||
\(34\) | 5.19869 | 0.891568 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.50273 | 0.417122 | ||||||||
\(37\) | −3.03293 | + | 5.25320i | −0.498611 | + | 0.863620i | −0.999999 | − | 0.00160274i | \(-0.999490\pi\) |
0.501387 | + | 0.865223i | \(0.332823\pi\) | |||||||
\(38\) | −5.10208 | − | 8.83705i | −0.827666 | − | 1.43356i | ||||
\(39\) | −1.98026 | − | 3.42991i | −0.317096 | − | 0.549226i | ||||
\(40\) | 0.370450 | − | 0.641637i | 0.0585732 | − | 0.101452i | ||||
\(41\) | −7.53566 | −1.17687 | −0.588436 | − | 0.808543i | \(-0.700256\pi\) | ||||
−0.588436 | + | 0.808543i | \(0.700256\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.86718 | −0.742238 | −0.371119 | − | 0.928585i | \(-0.621026\pi\) | ||||
−0.371119 | + | 0.928585i | \(0.621026\pi\) | |||||||
\(44\) | 0.682224 | − | 1.18165i | 0.102849 | − | 0.178140i | ||||
\(45\) | −0.582878 | − | 1.00958i | −0.0868904 | − | 0.150499i | ||||
\(46\) | −1.98626 | − | 3.44031i | −0.292858 | − | 0.507246i | ||||
\(47\) | −1.41712 | + | 2.45453i | −0.206708 | + | 0.358030i | −0.950676 | − | 0.310187i | \(-0.899608\pi\) |
0.743967 | + | 0.668216i | \(0.232942\pi\) | |||||||
\(48\) | −10.7014 | −1.54462 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −8.43032 | −1.19223 | ||||||||
\(51\) | −3.11581 | + | 5.39675i | −0.436301 | + | 0.755696i | ||||
\(52\) | −1.22890 | − | 2.12851i | −0.170417 | − | 0.295171i | ||||
\(53\) | −3.73490 | − | 6.46903i | −0.513028 | − | 0.888590i | −0.999886 | − | 0.0151089i | \(-0.995190\pi\) |
0.486858 | − | 0.873481i | \(-0.338143\pi\) | |||||||
\(54\) | 2.35071 | − | 4.07155i | 0.319891 | − | 0.554068i | ||||
\(55\) | −0.635552 | −0.0856978 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 12.2316 | 1.62012 | ||||||||
\(58\) | 9.56587 | − | 16.5686i | 1.25606 | − | 2.17556i | ||||
\(59\) | 5.90338 | + | 10.2250i | 0.768555 | + | 1.33118i | 0.938346 | + | 0.345696i | \(0.112357\pi\) |
−0.169791 | + | 0.985480i | \(0.554309\pi\) | |||||||
\(60\) | −0.953328 | − | 1.65121i | −0.123074 | − | 0.213171i | ||||
\(61\) | −2.16576 | + | 3.75120i | −0.277297 | + | 0.480292i | −0.970712 | − | 0.240246i | \(-0.922772\pi\) |
0.693415 | + | 0.720538i | \(0.256105\pi\) | |||||||
\(62\) | −11.7948 | −1.49794 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.36445 | −0.295556 | ||||||||
\(65\) | −0.572413 | + | 0.991448i | −0.0709990 | + | 0.122974i | ||||
\(66\) | 2.01647 | + | 3.49262i | 0.248210 | + | 0.429912i | ||||
\(67\) | 0.801309 | + | 1.38791i | 0.0978954 | + | 0.169560i | 0.910813 | − | 0.412818i | \(-0.135456\pi\) |
−0.812918 | + | 0.582378i | \(0.802122\pi\) | |||||||
\(68\) | −1.93359 | + | 3.34907i | −0.234482 | + | 0.406135i | ||||
\(69\) | 4.76183 | 0.573257 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.29204 | 0.509371 | 0.254685 | − | 0.967024i | \(-0.418028\pi\) | ||||
0.254685 | + | 0.967024i | \(0.418028\pi\) | |||||||
\(72\) | 1.06914 | − | 1.85181i | 0.125999 | − | 0.218237i | ||||
\(73\) | −7.99673 | − | 13.8507i | −0.935946 | − | 1.62111i | −0.772938 | − | 0.634482i | \(-0.781214\pi\) |
−0.163008 | − | 0.986625i | \(-0.552120\pi\) | |||||||
\(74\) | −5.56314 | − | 9.63564i | −0.646702 | − | 1.12012i | ||||
\(75\) | 5.05267 | − | 8.75149i | 0.583432 | − | 1.01053i | ||||
\(76\) | 7.59061 | 0.870703 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 7.26456 | 0.822549 | ||||||||
\(79\) | −2.38092 | + | 4.12387i | −0.267874 | + | 0.463971i | −0.968313 | − | 0.249741i | \(-0.919654\pi\) |
0.700439 | + | 0.713713i | \(0.252988\pi\) | |||||||
\(80\) | 1.54667 | + | 2.67891i | 0.172923 | + | 0.299512i | ||||
\(81\) | 5.56914 | + | 9.64603i | 0.618793 | + | 1.07178i | ||||
\(82\) | 6.91112 | − | 11.9704i | 0.763206 | − | 1.32191i | ||||
\(83\) | 9.23163 | 1.01330 | 0.506651 | − | 0.862151i | \(-0.330883\pi\) | ||||
0.506651 | + | 0.862151i | \(0.330883\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.80131 | 0.195379 | ||||||||
\(86\) | 4.46379 | − | 7.73152i | 0.481343 | − | 0.833711i | ||||
\(87\) | 11.4665 | + | 19.8606i | 1.22934 | + | 2.12928i | ||||
\(88\) | −0.582878 | − | 1.00958i | −0.0621350 | − | 0.107621i | ||||
\(89\) | 0.182224 | − | 0.315621i | 0.0193157 | − | 0.0334558i | −0.856206 | − | 0.516635i | \(-0.827185\pi\) |
0.875522 | + | 0.483179i | \(0.160518\pi\) | |||||||
\(90\) | 2.13828 | 0.225395 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 2.95506 | 0.308087 | ||||||||
\(93\) | 7.06914 | − | 12.2441i | 0.733036 | − | 1.26966i | ||||
\(94\) | −2.59935 | − | 4.50220i | −0.268102 | − | 0.464366i | ||||
\(95\) | −1.76783 | − | 3.06197i | −0.181376 | − | 0.314152i | ||||
\(96\) | 7.25136 | − | 12.5597i | 0.740089 | − | 1.28187i | ||||
\(97\) | 2.59607 | 0.263591 | 0.131796 | − | 0.991277i | \(-0.457926\pi\) | ||||
0.131796 | + | 0.991277i | \(0.457926\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.83424 | −0.184348 | ||||||||
\(100\) | 3.13555 | − | 5.43094i | 0.313555 | − | 0.543094i | ||||
\(101\) | −4.95006 | − | 8.57375i | −0.492549 | − | 0.853120i | 0.507414 | − | 0.861702i | \(-0.330601\pi\) |
−0.999963 | + | 0.00858243i | \(0.997268\pi\) | |||||||
\(102\) | −5.71516 | − | 9.89894i | −0.565885 | − | 0.980142i | ||||
\(103\) | 3.11581 | − | 5.39675i | 0.307010 | − | 0.531757i | −0.670697 | − | 0.741732i | \(-0.734005\pi\) |
0.977707 | + | 0.209975i | \(0.0673381\pi\) | |||||||
\(104\) | −2.09989 | −0.205911 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 13.7014 | 1.33080 | ||||||||
\(107\) | −5.54940 | + | 9.61185i | −0.536481 | + | 0.929212i | 0.462609 | + | 0.886562i | \(0.346913\pi\) |
−0.999090 | + | 0.0426499i | \(0.986420\pi\) | |||||||
\(108\) | 1.74864 | + | 3.02873i | 0.168263 | + | 0.291439i | ||||
\(109\) | 7.15202 | + | 12.3877i | 0.685039 | + | 1.18652i | 0.973424 | + | 0.229008i | \(0.0735483\pi\) |
−0.288385 | + | 0.957514i | \(0.593118\pi\) | |||||||
\(110\) | 0.582878 | − | 1.00958i | 0.0555753 | − | 0.0962592i | ||||
\(111\) | 13.3370 | 1.26589 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −8.68942 | −0.817432 | −0.408716 | − | 0.912662i | \(-0.634023\pi\) | ||||
−0.408716 | + | 0.912662i | \(0.634023\pi\) | |||||||
\(114\) | −11.2179 | + | 19.4300i | −1.05065 | + | 1.81978i | ||||
\(115\) | −0.688225 | − | 1.19204i | −0.0641774 | − | 0.111158i | ||||
\(116\) | 7.11581 | + | 12.3249i | 0.660687 | + | 1.14434i | ||||
\(117\) | −1.65202 | + | 2.86138i | −0.152729 | + | 0.264535i | ||||
\(118\) | −21.6565 | −1.99364 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −1.62901 | −0.148707 | ||||||||
\(121\) | −0.500000 | + | 0.866025i | −0.0454545 | + | 0.0787296i | ||||
\(122\) | −3.97252 | − | 6.88061i | −0.359655 | − | 0.622942i | ||||
\(123\) | 8.28430 | + | 14.3488i | 0.746970 | + | 1.29379i | ||||
\(124\) | 4.38692 | − | 7.59836i | 0.393957 | − | 0.682353i | ||||
\(125\) | −6.09880 | −0.545494 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 20.9989 | 1.86335 | 0.931676 | − | 0.363290i | \(-0.118346\pi\) | ||||
0.931676 | + | 0.363290i | \(0.118346\pi\) | |||||||
\(128\) | −4.42759 | + | 7.66881i | −0.391347 | + | 0.677833i | ||||
\(129\) | 5.35071 | + | 9.26770i | 0.471104 | + | 0.815976i | ||||
\(130\) | −1.04994 | − | 1.81856i | −0.0920862 | − | 0.159498i | ||||
\(131\) | −6.85071 | + | 11.8658i | −0.598549 | + | 1.03672i | 0.394486 | + | 0.918902i | \(0.370923\pi\) |
−0.993035 | + | 0.117816i | \(0.962411\pi\) | |||||||
\(132\) | −3.00000 | −0.261116 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −2.93959 | −0.253942 | ||||||||
\(135\) | 0.814504 | − | 1.41076i | 0.0701013 | − | 0.121419i | ||||
\(136\) | 1.65202 | + | 2.86138i | 0.141659 | + | 0.245361i | ||||
\(137\) | −3.63228 | − | 6.29129i | −0.310327 | − | 0.537501i | 0.668106 | − | 0.744066i | \(-0.267105\pi\) |
−0.978433 | + | 0.206564i | \(0.933772\pi\) | |||||||
\(138\) | −4.36718 | + | 7.56417i | −0.371759 | + | 0.643905i | ||||
\(139\) | 2.60262 | 0.220751 | 0.110376 | − | 0.993890i | \(-0.464795\pi\) | ||||
0.110376 | + | 0.993890i | \(0.464795\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.23163 | 0.524798 | ||||||||
\(142\) | −3.93632 | + | 6.81790i | −0.330328 | + | 0.572146i | ||||
\(143\) | 0.900654 | + | 1.55998i | 0.0753165 | + | 0.130452i | ||||
\(144\) | 4.46379 | + | 7.73152i | 0.371983 | + | 0.644293i | ||||
\(145\) | 3.31450 | − | 5.74089i | 0.275255 | − | 0.476755i | ||||
\(146\) | 29.3359 | 2.42786 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 8.27656 | 0.680329 | ||||||||
\(149\) | 0.500000 | − | 0.866025i | 0.0409616 | − | 0.0709476i | −0.844818 | − | 0.535054i | \(-0.820291\pi\) |
0.885779 | + | 0.464107i | \(0.153625\pi\) | |||||||
\(150\) | 9.26783 | + | 16.0524i | 0.756715 | + | 1.31067i | ||||
\(151\) | −0.867720 | − | 1.50294i | −0.0706140 | − | 0.122307i | 0.828557 | − | 0.559905i | \(-0.189163\pi\) |
−0.899171 | + | 0.437598i | \(0.855829\pi\) | |||||||
\(152\) | 3.24263 | − | 5.61641i | 0.263012 | − | 0.455551i | ||||
\(153\) | 5.19869 | 0.420289 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.08680 | −0.328260 | ||||||||
\(156\) | −2.70196 | + | 4.67994i | −0.216330 | + | 0.374695i | ||||
\(157\) | −3.96980 | − | 6.87589i | −0.316824 | − | 0.548756i | 0.662999 | − | 0.748620i | \(-0.269283\pi\) |
−0.979824 | + | 0.199864i | \(0.935950\pi\) | |||||||
\(158\) | −4.36718 | − | 7.56417i | −0.347434 | − | 0.601773i | ||||
\(159\) | −8.21189 | + | 14.2234i | −0.651245 | + | 1.12799i | ||||
\(160\) | −4.19215 | −0.331418 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −20.4303 | −1.60516 | ||||||||
\(163\) | 8.00273 | − | 13.8611i | 0.626822 | − | 1.08569i | −0.361363 | − | 0.932425i | \(-0.617689\pi\) |
0.988185 | − | 0.153263i | \(-0.0489781\pi\) | |||||||
\(164\) | 5.14101 | + | 8.90449i | 0.401446 | + | 0.695324i | ||||
\(165\) | 0.698691 | + | 1.21017i | 0.0543930 | + | 0.0942115i | ||||
\(166\) | −8.46652 | + | 14.6644i | −0.657130 | + | 1.13818i | ||||
\(167\) | −1.15921 | −0.0897026 | −0.0448513 | − | 0.998994i | \(-0.514281\pi\) | ||||
−0.0448513 | + | 0.998994i | \(0.514281\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.75529 | −0.750407 | ||||||||
\(170\) | −1.65202 | + | 2.86138i | −0.126704 | + | 0.219458i | ||||
\(171\) | −5.10208 | − | 8.83705i | −0.390165 | − | 0.675786i | ||||
\(172\) | 3.32051 | + | 5.75128i | 0.253186 | + | 0.438531i | ||||
\(173\) | −0.496728 | + | 0.860358i | −0.0377655 | + | 0.0654118i | −0.884290 | − | 0.466937i | \(-0.845357\pi\) |
0.846525 | + | 0.532349i | \(0.178691\pi\) | |||||||
\(174\) | −42.0648 | −3.18892 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 4.86718 | 0.366877 | ||||||||
\(177\) | 12.9797 | − | 22.4815i | 0.975615 | − | 1.68982i | ||||
\(178\) | 0.334243 | + | 0.578926i | 0.0250526 | + | 0.0433924i | ||||
\(179\) | 9.83097 | + | 17.0277i | 0.734801 | + | 1.27271i | 0.954810 | + | 0.297215i | \(0.0960579\pi\) |
−0.220009 | + | 0.975498i | \(0.570609\pi\) | |||||||
\(180\) | −0.795307 | + | 1.37751i | −0.0592787 | + | 0.102674i | ||||
\(181\) | 23.8726 | 1.77444 | 0.887220 | − | 0.461347i | \(-0.152634\pi\) | ||||
0.887220 | + | 0.461347i | \(0.152634\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 9.52366 | 0.704009 | ||||||||
\(184\) | 1.26237 | − | 2.18649i | 0.0930634 | − | 0.161190i | ||||
\(185\) | −1.92759 | − | 3.33868i | −0.141719 | − | 0.245465i | ||||
\(186\) | 12.9665 | + | 22.4587i | 0.950752 | + | 1.64675i | ||||
\(187\) | 1.41712 | − | 2.45453i | 0.103630 | − | 0.179493i | ||||
\(188\) | 3.86718 | 0.282043 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.48527 | 0.470491 | ||||||||
\(191\) | 5.56587 | − | 9.64037i | 0.402732 | − | 0.697553i | −0.591322 | − | 0.806435i | \(-0.701394\pi\) |
0.994055 | + | 0.108883i | \(0.0347273\pi\) | |||||||
\(192\) | 2.59935 | + | 4.50220i | 0.187592 | + | 0.324918i | ||||
\(193\) | −1.80731 | − | 3.13035i | −0.130093 | − | 0.225328i | 0.793619 | − | 0.608415i | \(-0.208194\pi\) |
−0.923712 | + | 0.383087i | \(0.874861\pi\) | |||||||
\(194\) | −2.38092 | + | 4.12387i | −0.170940 | + | 0.296076i | ||||
\(195\) | 2.51712 | 0.180255 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.41831 | 0.172298 | 0.0861489 | − | 0.996282i | \(-0.472544\pi\) | ||||
0.0861489 | + | 0.996282i | \(0.472544\pi\) | |||||||
\(198\) | 1.68222 | − | 2.91370i | 0.119550 | − | 0.207067i | ||||
\(199\) | −9.24809 | − | 16.0182i | −0.655580 | − | 1.13550i | −0.981748 | − | 0.190186i | \(-0.939091\pi\) |
0.326168 | − | 0.945312i | \(-0.394242\pi\) | |||||||
\(200\) | −2.67895 | − | 4.64008i | −0.189431 | − | 0.328103i | ||||
\(201\) | 1.76183 | − | 3.05158i | 0.124270 | − | 0.215242i | ||||
\(202\) | 18.1592 | 1.27768 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 8.50273 | 0.595310 | ||||||||
\(205\) | 2.39465 | − | 4.14766i | 0.167250 | − | 0.289685i | ||||
\(206\) | 5.71516 | + | 9.89894i | 0.398194 | + | 0.689692i | ||||
\(207\) | −1.98626 | − | 3.44031i | −0.138055 | − | 0.239118i | ||||
\(208\) | 4.38364 | − | 7.59270i | 0.303951 | − | 0.526459i | ||||
\(209\) | −5.56314 | −0.384810 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.85517 | −0.540773 | −0.270386 | − | 0.962752i | \(-0.587151\pi\) | ||||
−0.270386 | + | 0.962752i | \(0.587151\pi\) | |||||||
\(212\) | −5.09607 | + | 8.82666i | −0.350000 | + | 0.606217i | ||||
\(213\) | −4.71843 | − | 8.17256i | −0.323302 | − | 0.559975i | ||||
\(214\) | −10.1790 | − | 17.6305i | −0.695819 | − | 1.20519i | ||||
\(215\) | 1.54667 | − | 2.67891i | 0.105482 | − | 0.182700i | ||||
\(216\) | 2.98800 | 0.203307 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −26.2371 | −1.77700 | ||||||||
\(219\) | −17.5823 | + | 30.4535i | −1.18810 | + | 2.05786i | ||||
\(220\) | 0.433589 | + | 0.750998i | 0.0292326 | + | 0.0506323i | ||||
\(221\) | −2.55267 | − | 4.42136i | −0.171711 | − | 0.297413i | ||||
\(222\) | −12.2316 | + | 21.1858i | −0.820933 | + | 1.42190i | ||||
\(223\) | −20.3370 | −1.36186 | −0.680932 | − | 0.732346i | \(-0.738425\pi\) | ||||
−0.680932 | + | 0.732346i | \(0.738425\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −8.43032 | −0.562021 | ||||||||
\(226\) | 7.96925 | − | 13.8032i | 0.530107 | − | 0.918172i | ||||
\(227\) | 3.60981 | + | 6.25238i | 0.239592 | + | 0.414985i | 0.960597 | − | 0.277944i | \(-0.0896531\pi\) |
−0.721006 | + | 0.692929i | \(0.756320\pi\) | |||||||
\(228\) | −8.34471 | − | 14.4535i | −0.552642 | − | 0.957204i | ||||
\(229\) | 6.03566 | − | 10.4541i | 0.398848 | − | 0.690825i | −0.594736 | − | 0.803921i | \(-0.702743\pi\) |
0.993584 | + | 0.113096i | \(0.0360768\pi\) | |||||||
\(230\) | 2.52475 | 0.166477 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 12.1592 | 0.798291 | ||||||||
\(233\) | 3.77110 | − | 6.53174i | 0.247053 | − | 0.427909i | −0.715654 | − | 0.698455i | \(-0.753871\pi\) |
0.962707 | + | 0.270547i | \(0.0872044\pi\) | |||||||
\(234\) | −3.03020 | − | 5.24847i | −0.198091 | − | 0.343103i | ||||
\(235\) | −0.900654 | − | 1.55998i | −0.0587522 | − | 0.101762i | ||||
\(236\) | 8.05486 | − | 13.9514i | 0.524327 | − | 0.908161i | ||||
\(237\) | 10.4698 | 0.680086 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −9.84625 | −0.636901 | −0.318450 | − | 0.947940i | \(-0.603162\pi\) | ||||
−0.318450 | + | 0.947940i | \(0.603162\pi\) | |||||||
\(240\) | 3.40065 | − | 5.89011i | 0.219511 | − | 0.380205i | ||||
\(241\) | −0.837515 | − | 1.45062i | −0.0539491 | − | 0.0934426i | 0.837790 | − | 0.545993i | \(-0.183848\pi\) |
−0.891739 | + | 0.452551i | \(0.850514\pi\) | |||||||
\(242\) | −0.917122 | − | 1.58850i | −0.0589548 | − | 0.102113i | ||||
\(243\) | 8.40011 | − | 14.5494i | 0.538867 | − | 0.933346i | ||||
\(244\) | 5.91013 | 0.378357 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −30.3908 | −1.93765 | ||||||||
\(247\) | −5.01047 | + | 8.67838i | −0.318808 | + | 0.552192i | ||||
\(248\) | −3.74809 | − | 6.49189i | −0.238004 | − | 0.412235i | ||||
\(249\) | −10.1487 | − | 17.5781i | −0.643151 | − | 1.11397i | ||||
\(250\) | 5.59334 | − | 9.68796i | 0.353754 | − | 0.612720i | ||||
\(251\) | −19.7738 | −1.24811 | −0.624057 | − | 0.781379i | \(-0.714517\pi\) | ||||
−0.624057 | + | 0.781379i | \(0.714517\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.16576 | −0.136160 | ||||||||
\(254\) | −19.2586 | + | 33.3568i | −1.20839 | + | 2.09299i | ||||
\(255\) | −1.98026 | − | 3.42991i | −0.124009 | − | 0.214789i | ||||
\(256\) | −10.4857 | − | 18.1618i | −0.655358 | − | 1.13511i | ||||
\(257\) | 1.35998 | − | 2.35556i | 0.0848335 | − | 0.146936i | −0.820487 | − | 0.571665i | \(-0.806298\pi\) |
0.905320 | + | 0.424730i | \(0.139631\pi\) | |||||||
\(258\) | −19.6290 | −1.22205 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 1.56205 | 0.0968745 | ||||||||
\(261\) | 9.56587 | − | 16.5686i | 0.592112 | − | 1.02557i | ||||
\(262\) | −12.5659 | − | 21.7647i | −0.776322 | − | 1.34463i | ||||
\(263\) | −6.34744 | − | 10.9941i | −0.391400 | − | 0.677924i | 0.601235 | − | 0.799073i | \(-0.294676\pi\) |
−0.992634 | + | 0.121148i | \(0.961342\pi\) | |||||||
\(264\) | −1.28157 | + | 2.21974i | −0.0788752 | + | 0.136616i | ||||
\(265\) | 4.74744 | 0.291633 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.801309 | −0.0490393 | ||||||||
\(268\) | 1.09334 | − | 1.89373i | 0.0667866 | − | 0.115678i | ||||
\(269\) | −3.54667 | − | 6.14302i | −0.216244 | − | 0.374546i | 0.737412 | − | 0.675443i | \(-0.236047\pi\) |
−0.953657 | + | 0.300896i | \(0.902714\pi\) | |||||||
\(270\) | 1.49400 | + | 2.58768i | 0.0909219 | + | 0.157481i | ||||
\(271\) | −9.10808 | + | 15.7757i | −0.553276 | + | 0.958303i | 0.444759 | + | 0.895650i | \(0.353289\pi\) |
−0.998035 | + | 0.0626524i | \(0.980044\pi\) | |||||||
\(272\) | −13.7948 | −0.836430 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 13.3250 | 0.804991 | ||||||||
\(275\) | −2.29804 | + | 3.98032i | −0.138577 | + | 0.240022i | ||||
\(276\) | −3.24864 | − | 5.62680i | −0.195545 | − | 0.338694i | ||||
\(277\) | −6.92432 | − | 11.9933i | −0.416042 | − | 0.720606i | 0.579495 | − | 0.814976i | \(-0.303250\pi\) |
−0.995537 | + | 0.0943700i | \(0.969916\pi\) | |||||||
\(278\) | −2.38692 | + | 4.13426i | −0.143158 | + | 0.247956i | ||||
\(279\) | −11.7948 | −0.706134 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 21.0329 | 1.25472 | 0.627360 | − | 0.778730i | \(-0.284136\pi\) | ||||
0.627360 | + | 0.778730i | \(0.284136\pi\) | |||||||
\(282\) | −5.71516 | + | 9.89894i | −0.340333 | + | 0.589474i | ||||
\(283\) | 0.176223 | + | 0.305226i | 0.0104753 | + | 0.0181438i | 0.871216 | − | 0.490901i | \(-0.163332\pi\) |
−0.860740 | + | 0.509044i | \(0.829999\pi\) | |||||||
\(284\) | −2.92813 | − | 5.07167i | −0.173753 | − | 0.300948i | ||||
\(285\) | −3.88692 | + | 6.73234i | −0.230241 | + | 0.398789i | ||||
\(286\) | −3.30404 | −0.195372 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −12.0988 | −0.712929 | ||||||||
\(289\) | 4.48353 | − | 7.76571i | 0.263737 | − | 0.456806i | ||||
\(290\) | 6.07961 | + | 10.5302i | 0.357007 | + | 0.618354i | ||||
\(291\) | −2.85398 | − | 4.94324i | −0.167303 | − | 0.289778i | ||||
\(292\) | −10.9111 | + | 18.8986i | −0.638525 | + | 1.10596i | ||||
\(293\) | 3.46325 | 0.202325 | 0.101163 | − | 0.994870i | \(-0.467744\pi\) | ||||
0.101163 | + | 0.994870i | \(0.467744\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.50381 | −0.436889 | ||||||||
\(296\) | 3.53566 | − | 6.12395i | 0.205506 | − | 0.355947i | ||||
\(297\) | −1.28157 | − | 2.21974i | −0.0743642 | − | 0.128803i | ||||
\(298\) | 0.917122 | + | 1.58850i | 0.0531274 | + | 0.0920194i | ||||
\(299\) | −1.95060 | + | 3.37854i | −0.112806 | + | 0.195386i | ||||
\(300\) | −13.7882 | −0.796063 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 3.18322 | 0.183174 | ||||||||
\(303\) | −10.8836 | + | 18.8510i | −0.625249 | + | 1.08296i | ||||
\(304\) | 13.5384 | + | 23.4492i | 0.776480 | + | 1.34490i | ||||
\(305\) | −1.37645 | − | 2.38408i | −0.0788154 | − | 0.136512i | ||||
\(306\) | −4.76783 | + | 8.25813i | −0.272559 | + | 0.472086i | ||||
\(307\) | 6.51473 | 0.371815 | 0.185908 | − | 0.982567i | \(-0.440477\pi\) | ||||
0.185908 | + | 0.982567i | \(0.440477\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −13.7014 | −0.779447 | ||||||||
\(310\) | 3.74809 | − | 6.49189i | 0.212877 | − | 0.368714i | ||||
\(311\) | 5.81505 | + | 10.0720i | 0.329741 | + | 0.571128i | 0.982460 | − | 0.186472i | \(-0.0597052\pi\) |
−0.652719 | + | 0.757600i | \(0.726372\pi\) | |||||||
\(312\) | 2.30850 | + | 3.99844i | 0.130693 | + | 0.226367i | ||||
\(313\) | −13.5489 | + | 23.4673i | −0.765827 | + | 1.32645i | 0.173982 | + | 0.984749i | \(0.444337\pi\) |
−0.939808 | + | 0.341702i | \(0.888997\pi\) | |||||||
\(314\) | 14.5631 | 0.821845 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.49727 | 0.365500 | ||||||||
\(317\) | −1.93086 | + | 3.34435i | −0.108448 | + | 0.187837i | −0.915142 | − | 0.403132i | \(-0.867921\pi\) |
0.806694 | + | 0.590970i | \(0.201255\pi\) | |||||||
\(318\) | −15.0626 | − | 26.0892i | −0.844668 | − | 1.46301i | ||||
\(319\) | −5.21516 | − | 9.03292i | −0.291993 | − | 0.505746i | ||||
\(320\) | 0.751365 | − | 1.30140i | 0.0420026 | − | 0.0727506i | ||||
\(321\) | 24.4028 | 1.36203 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 15.7673 | 0.877315 | ||||||||
\(324\) | 7.59880 | − | 13.1615i | 0.422156 | − | 0.731195i | ||||
\(325\) | 4.13947 | + | 7.16978i | 0.229617 | + | 0.397708i | ||||
\(326\) | 14.6790 | + | 25.4247i | 0.812992 | + | 1.40814i | ||||
\(327\) | 15.7251 | − | 27.2366i | 0.869599 | − | 1.50619i | ||||
\(328\) | 8.78475 | 0.485057 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −2.56314 | −0.141096 | ||||||||
\(331\) | −3.07514 | + | 5.32630i | −0.169025 | + | 0.292760i | −0.938077 | − | 0.346426i | \(-0.887395\pi\) |
0.769052 | + | 0.639186i | \(0.220729\pi\) | |||||||
\(332\) | −6.29804 | − | 10.9085i | −0.345650 | − | 0.598683i | ||||
\(333\) | −5.56314 | − | 9.63564i | −0.304858 | − | 0.528030i | ||||
\(334\) | 1.06314 | − | 1.84141i | 0.0581724 | − | 0.100758i | ||||
\(335\) | −1.01855 | −0.0556491 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.7607 | −0.640649 | −0.320324 | − | 0.947308i | \(-0.603792\pi\) | ||||
−0.320324 | + | 0.947308i | \(0.603792\pi\) | |||||||
\(338\) | 8.94678 | − | 15.4963i | 0.486641 | − | 0.842887i | ||||
\(339\) | 9.55267 | + | 16.5457i | 0.518830 | + | 0.898640i | ||||
\(340\) | −1.22890 | − | 2.12851i | −0.0666462 | − | 0.115435i | ||||
\(341\) | −3.21516 | + | 5.56882i | −0.174111 | + | 0.301568i | ||||
\(342\) | 18.7169 | 1.01209 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 5.67395 | 0.305919 | ||||||||
\(345\) | −1.51320 | + | 2.62093i | −0.0814677 | + | 0.141106i | ||||
\(346\) | −0.911120 | − | 1.57811i | −0.0489821 | − | 0.0848395i | ||||
\(347\) | 0.420393 | + | 0.728143i | 0.0225679 | + | 0.0390888i | 0.877089 | − | 0.480328i | \(-0.159482\pi\) |
−0.854521 | + | 0.519417i | \(0.826149\pi\) | |||||||
\(348\) | 15.6455 | − | 27.0988i | 0.838686 | − | 1.45265i | ||||
\(349\) | −9.13174 | −0.488811 | −0.244405 | − | 0.969673i | \(-0.578593\pi\) | ||||
−0.244405 | + | 0.969673i | \(0.578593\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.61701 | −0.246438 | ||||||||
\(352\) | −3.29804 | + | 5.71237i | −0.175786 | + | 0.304470i | ||||
\(353\) | 11.3639 | + | 19.6829i | 0.604840 | + | 1.04761i | 0.992077 | + | 0.125633i | \(0.0400961\pi\) |
−0.387237 | + | 0.921980i | \(0.626571\pi\) | |||||||
\(354\) | 23.8080 | + | 41.2366i | 1.26538 | + | 2.19170i | ||||
\(355\) | −1.36391 | + | 2.36235i | −0.0723886 | + | 0.125381i | ||||
\(356\) | −0.497270 | −0.0263553 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −36.0648 | −1.90608 | ||||||||
\(359\) | 13.1093 | − | 22.7059i | 0.691881 | − | 1.19837i | −0.279340 | − | 0.960192i | \(-0.590116\pi\) |
0.971221 | − | 0.238180i | \(-0.0765510\pi\) | |||||||
\(360\) | 0.679494 | + | 1.17692i | 0.0358125 | + | 0.0620291i | ||||
\(361\) | −5.97426 | − | 10.3477i | −0.314435 | − | 0.544617i | ||||
\(362\) | −21.8941 | + | 37.9217i | −1.15073 | + | 1.99312i | ||||
\(363\) | 2.19869 | 0.115401 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 10.1647 | 0.532043 | ||||||||
\(366\) | −8.73436 | + | 15.1283i | −0.456552 | + | 0.790771i | ||||
\(367\) | −1.91112 | − | 3.31016i | −0.0997597 | − | 0.172789i | 0.811825 | − | 0.583900i | \(-0.198474\pi\) |
−0.911585 | + | 0.411111i | \(0.865141\pi\) | |||||||
\(368\) | 5.27056 | + | 9.12888i | 0.274747 | + | 0.475876i | ||||
\(369\) | 6.91112 | − | 11.9704i | 0.359779 | − | 0.623155i | ||||
\(370\) | 7.07133 | 0.367621 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −19.2910 | −1.00019 | ||||||||
\(373\) | −7.55387 | + | 13.0837i | −0.391124 | + | 0.677447i | −0.992598 | − | 0.121445i | \(-0.961247\pi\) |
0.601474 | + | 0.798893i | \(0.294580\pi\) | |||||||
\(374\) | 2.59935 | + | 4.50220i | 0.134409 | + | 0.232803i | ||||
\(375\) | 6.70469 | + | 11.6129i | 0.346229 | + | 0.599686i | ||||
\(376\) | 1.65202 | − | 2.86138i | 0.0851964 | − | 0.147564i | ||||
\(377\) | −18.7882 | −0.967643 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.3765 | −0.584369 | −0.292185 | − | 0.956362i | \(-0.594382\pi\) | ||||
−0.292185 | + | 0.956362i | \(0.594382\pi\) | |||||||
\(380\) | −2.41211 | + | 4.17791i | −0.123739 | + | 0.214322i | ||||
\(381\) | −23.0851 | − | 39.9845i | −1.18268 | − | 2.04847i | ||||
\(382\) | 10.2092 | + | 17.6828i | 0.522346 | + | 0.904730i | ||||
\(383\) | 4.44286 | − | 7.69526i | 0.227020 | − | 0.393210i | −0.729904 | − | 0.683550i | \(-0.760435\pi\) |
0.956923 | + | 0.290340i | \(0.0937685\pi\) | |||||||
\(384\) | 19.4698 | 0.993564 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 6.63009 | 0.337463 | ||||||||
\(387\) | 4.46379 | − | 7.73152i | 0.226907 | − | 0.393015i | ||||
\(388\) | −1.77110 | − | 3.06764i | −0.0899142 | − | 0.155736i | ||||
\(389\) | 9.94951 | + | 17.2331i | 0.504460 | + | 0.873751i | 0.999987 | + | 0.00515807i | \(0.00164187\pi\) |
−0.495526 | + | 0.868593i | \(0.665025\pi\) | |||||||
\(390\) | −2.30850 | + | 3.99844i | −0.116896 | + | 0.202469i | ||||
\(391\) | 6.13828 | 0.310426 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 30.1252 | 1.51962 | ||||||||
\(394\) | −2.21789 | + | 3.84149i | −0.111736 | + | 0.193532i | ||||
\(395\) | −1.51320 | − | 2.62093i | −0.0761371 | − | 0.131873i | ||||
\(396\) | 1.25136 | + | 2.16743i | 0.0628834 | + | 0.108917i | ||||
\(397\) | −17.4303 | + | 30.1902i | −0.874803 | + | 1.51520i | −0.0178296 | + | 0.999841i | \(0.505676\pi\) |
−0.856973 | + | 0.515361i | \(0.827658\pi\) | |||||||
\(398\) | 33.9265 | 1.70058 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 22.3699 | 1.11850 | ||||||||
\(401\) | −5.69815 | + | 9.86948i | −0.284552 | + | 0.492858i | −0.972500 | − | 0.232901i | \(-0.925178\pi\) |
0.687948 | + | 0.725760i | \(0.258511\pi\) | |||||||
\(402\) | 3.23163 | + | 5.59734i | 0.161179 | + | 0.279170i | ||||
\(403\) | 5.79149 | + | 10.0312i | 0.288495 | + | 0.499688i | ||||
\(404\) | −6.75409 | + | 11.6984i | −0.336029 | + | 0.582019i | ||||
\(405\) | −7.07896 | −0.351756 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −6.06587 | −0.300674 | ||||||||
\(408\) | 3.63228 | − | 6.29129i | 0.179825 | − | 0.311465i | ||||
\(409\) | −2.04394 | − | 3.54021i | −0.101066 | − | 0.175052i | 0.811058 | − | 0.584966i | \(-0.198892\pi\) |
−0.912124 | + | 0.409914i | \(0.865559\pi\) | |||||||
\(410\) | 4.39238 | + | 7.60782i | 0.216924 | + | 0.375723i | ||||
\(411\) | −7.98626 | + | 13.8326i | −0.393933 | + | 0.682312i | ||||
\(412\) | −8.50273 | −0.418899 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 7.28658 | 0.358116 | ||||||||
\(415\) | −2.93359 | + | 5.08112i | −0.144004 | + | 0.249423i | ||||
\(416\) | 5.94078 | + | 10.2897i | 0.291271 | + | 0.504496i | ||||
\(417\) | −2.86118 | − | 4.95570i | −0.140112 | − | 0.242682i | ||||
\(418\) | 5.10208 | − | 8.83705i | 0.249551 | − | 0.432234i | ||||
\(419\) | −32.8002 | −1.60240 | −0.801198 | − | 0.598399i | \(-0.795804\pi\) | ||||
−0.801198 | + | 0.598399i | \(0.795804\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.52128 | −0.415302 | −0.207651 | − | 0.978203i | \(-0.566582\pi\) | ||||
−0.207651 | + | 0.978203i | \(0.566582\pi\) | |||||||
\(422\) | 7.20415 | − | 12.4780i | 0.350693 | − | 0.607417i | ||||
\(423\) | −2.59935 | − | 4.50220i | −0.126385 | − | 0.218904i | ||||
\(424\) | 4.35398 | + | 7.54132i | 0.211448 | + | 0.366239i | ||||
\(425\) | 6.51320 | − | 11.2812i | 0.315936 | − | 0.547218i | ||||
\(426\) | 17.3095 | 0.838648 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 15.1437 | 0.732000 | ||||||||
\(429\) | 1.98026 | − | 3.42991i | 0.0956079 | − | 0.165598i | ||||
\(430\) | 2.83697 | + | 4.91378i | 0.136811 | + | 0.236964i | ||||
\(431\) | 8.36718 | + | 14.4924i | 0.403033 | + | 0.698073i | 0.994090 | − | 0.108556i | \(-0.0346227\pi\) |
−0.591058 | + | 0.806629i | \(0.701289\pi\) | |||||||
\(432\) | −6.23763 | + | 10.8039i | −0.300108 | + | 0.519802i | ||||
\(433\) | 25.8661 | 1.24305 | 0.621523 | − | 0.783396i | \(-0.286514\pi\) | ||||
0.621523 | + | 0.783396i | \(0.286514\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −14.5751 | −0.698825 | ||||||||
\(436\) | 9.75856 | − | 16.9023i | 0.467350 | − | 0.809474i | ||||
\(437\) | −6.02420 | − | 10.4342i | −0.288177 | − | 0.499137i | ||||
\(438\) | −32.2503 | − | 55.8591i | −1.54098 | − | 2.66905i | ||||
\(439\) | −4.78430 | + | 8.28665i | −0.228342 | + | 0.395500i | −0.957317 | − | 0.289040i | \(-0.906664\pi\) |
0.728975 | + | 0.684541i | \(0.239997\pi\) | |||||||
\(440\) | 0.740899 | 0.0353210 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.36445 | 0.445421 | ||||||||
\(443\) | −9.51647 | + | 16.4830i | −0.452141 | + | 0.783131i | −0.998519 | − | 0.0544076i | \(-0.982673\pi\) |
0.546378 | + | 0.837539i | \(0.316006\pi\) | |||||||
\(444\) | −9.09880 | − | 15.7596i | −0.431810 | − | 0.747917i | ||||
\(445\) | 0.115813 | + | 0.200594i | 0.00549005 | + | 0.00950905i | ||||
\(446\) | 18.6515 | − | 32.3053i | 0.883173 | − | 1.52970i | ||||
\(447\) | −2.19869 | −0.103995 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 33.3424 | 1.57353 | 0.786763 | − | 0.617255i | \(-0.211755\pi\) | ||||
0.786763 | + | 0.617255i | \(0.211755\pi\) | |||||||
\(450\) | 7.73163 | − | 13.3916i | 0.364472 | − | 0.631285i | ||||
\(451\) | −3.76783 | − | 6.52608i | −0.177420 | − | 0.307301i | ||||
\(452\) | 5.92813 | + | 10.2678i | 0.278836 | + | 0.482958i | ||||
\(453\) | −1.90785 | + | 3.30449i | −0.0896385 | + | 0.155258i | ||||
\(454\) | −13.2425 | −0.621503 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −14.2591 | −0.667744 | ||||||||
\(457\) | −5.98026 | + | 10.3581i | −0.279745 | + | 0.484532i | −0.971321 | − | 0.237771i | \(-0.923583\pi\) |
0.691576 | + | 0.722303i | \(0.256917\pi\) | |||||||
\(458\) | 11.0709 | + | 19.1753i | 0.517308 | + | 0.896004i | ||||
\(459\) | 3.63228 | + | 6.29129i | 0.169540 | + | 0.293652i | ||||
\(460\) | −0.939048 | + | 1.62648i | −0.0437833 | + | 0.0758350i | ||||
\(461\) | −12.4896 | −0.581701 | −0.290850 | − | 0.956769i | \(-0.593938\pi\) | ||||
−0.290850 | + | 0.956769i | \(0.593938\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.3095 | 0.572071 | 0.286035 | − | 0.958219i | \(-0.407662\pi\) | ||||
0.286035 | + | 0.958219i | \(0.407662\pi\) | |||||||
\(464\) | −25.3831 | + | 43.9648i | −1.17838 | + | 2.04102i | ||||
\(465\) | 4.49281 | + | 7.78177i | 0.208349 | + | 0.360871i | ||||
\(466\) | 6.91712 | + | 11.9808i | 0.320429 | + | 0.555000i | ||||
\(467\) | 16.3804 | − | 28.3716i | 0.757993 | − | 1.31288i | −0.185879 | − | 0.982573i | \(-0.559513\pi\) |
0.943872 | − | 0.330310i | \(-0.107153\pi\) | |||||||
\(468\) | 4.50819 | 0.208391 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 3.30404 | 0.152404 | ||||||||
\(471\) | −8.72835 | + | 15.1180i | −0.402181 | + | 0.696598i | ||||
\(472\) | −6.88191 | − | 11.9198i | −0.316766 | − | 0.548654i | ||||
\(473\) | −2.43359 | − | 4.21510i | −0.111897 | − | 0.193810i | ||||
\(474\) | −9.60208 | + | 16.6313i | −0.441038 | + | 0.763900i | ||||
\(475\) | −25.5686 | −1.17317 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 13.7014 | 0.627345 | ||||||||
\(478\) | 9.03020 | − | 15.6408i | 0.413032 | − | 0.715392i | ||||
\(479\) | 12.9890 | + | 22.4976i | 0.593482 | + | 1.02794i | 0.993759 | + | 0.111547i | \(0.0355806\pi\) |
−0.400277 | + | 0.916394i | \(0.631086\pi\) | |||||||
\(480\) | 4.60862 | + | 7.98236i | 0.210354 | + | 0.364343i | ||||
\(481\) | −5.46325 | + | 9.46263i | −0.249103 | + | 0.431459i | ||||
\(482\) | 3.07241 | 0.139945 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.36445 | 0.0620204 | ||||||||
\(485\) | −0.824970 | + | 1.42889i | −0.0374600 | + | 0.0648825i | ||||
\(486\) | 15.4078 | + | 26.6872i | 0.698914 | + | 1.21055i | ||||
\(487\) | −7.26783 | − | 12.5883i | −0.329337 | − | 0.570428i | 0.653044 | − | 0.757320i | \(-0.273492\pi\) |
−0.982380 | + | 0.186892i | \(0.940159\pi\) | |||||||
\(488\) | 2.52475 | − | 4.37299i | 0.114290 | − | 0.197956i | ||||
\(489\) | −35.1911 | −1.59139 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −39.3952 | −1.77788 | −0.888941 | − | 0.458023i | \(-0.848558\pi\) | ||||
−0.888941 | + | 0.458023i | \(0.848558\pi\) | |||||||
\(492\) | 11.3035 | − | 19.5782i | 0.509601 | − | 0.882655i | ||||
\(493\) | 14.7810 | + | 25.6015i | 0.665704 | + | 1.15303i | ||||
\(494\) | −9.19041 | − | 15.9183i | −0.413496 | − | 0.716196i | ||||
\(495\) | 0.582878 | − | 1.00958i | 0.0261984 | − | 0.0453770i | ||||
\(496\) | 31.2975 | 1.40530 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 37.2305 | 1.66834 | ||||||||
\(499\) | 13.1153 | − | 22.7163i | 0.587120 | − | 1.01692i | −0.407487 | − | 0.913211i | \(-0.633595\pi\) |
0.994607 | − | 0.103711i | \(-0.0330717\pi\) | |||||||
\(500\) | 4.16075 | + | 7.20663i | 0.186074 | + | 0.322290i | ||||
\(501\) | 1.27438 | + | 2.20728i | 0.0569349 | + | 0.0986142i | ||||
\(502\) | 18.1350 | − | 31.4108i | 0.809405 | − | 1.40193i | ||||
\(503\) | −3.94613 | −0.175949 | −0.0879747 | − | 0.996123i | \(-0.528039\pi\) | ||||
−0.0879747 | + | 0.996123i | \(0.528039\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.29204 | 0.279992 | ||||||||
\(506\) | 1.98626 | − | 3.44031i | 0.0883001 | − | 0.152940i | ||||
\(507\) | 10.7244 | + | 18.5753i | 0.476289 | + | 0.824956i | ||||
\(508\) | −14.3260 | − | 24.8133i | −0.635612 | − | 1.10091i | ||||
\(509\) | 8.45279 | − | 14.6407i | 0.374663 | − | 0.648936i | −0.615613 | − | 0.788048i | \(-0.711092\pi\) |
0.990277 | + | 0.139113i | \(0.0444250\pi\) | |||||||
\(510\) | 7.26456 | 0.321680 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 20.7564 | 0.917311 | ||||||||
\(513\) | 7.12955 | − | 12.3487i | 0.314777 | − | 0.545210i | ||||
\(514\) | 2.49454 | + | 4.32067i | 0.110029 | + | 0.190577i | ||||
\(515\) | 1.98026 | + | 3.42991i | 0.0872607 | + | 0.151140i | ||||
\(516\) | 7.30077 | − | 12.6453i | 0.321398 | − | 0.556678i | ||||
\(517\) | −2.83424 | −0.124650 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.18430 | 0.0958803 | ||||||||
\(520\) | 0.667294 | − | 1.15579i | 0.0292628 | − | 0.0506846i | ||||
\(521\) | 0.778840 | + | 1.34899i | 0.0341216 | + | 0.0591004i | 0.882582 | − | 0.470159i | \(-0.155803\pi\) |
−0.848460 | + | 0.529259i | \(0.822470\pi\) | |||||||
\(522\) | 17.5461 | + | 30.3908i | 0.767973 | + | 1.33017i | ||||
\(523\) | −6.25136 | + | 10.8277i | −0.273353 | + | 0.473461i | −0.969718 | − | 0.244226i | \(-0.921466\pi\) |
0.696365 | + | 0.717688i | \(0.254799\pi\) | |||||||
\(524\) | 18.6949 | 0.816689 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 23.2855 | 1.01530 | ||||||||
\(527\) | 9.11254 | − | 15.7834i | 0.396949 | − | 0.687535i | ||||
\(528\) | −5.35071 | − | 9.26770i | −0.232860 | − | 0.403325i | ||||
\(529\) | 9.15475 | + | 15.8565i | 0.398033 | + | 0.689413i | ||||
\(530\) | −4.35398 | + | 7.54132i | −0.189125 | + | 0.327574i | ||||
\(531\) | −21.6565 | −0.939811 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −13.5741 | −0.587958 | ||||||||
\(534\) | 0.734898 | − | 1.27288i | 0.0318021 | − | 0.0550829i | ||||
\(535\) | −3.52693 | − | 6.10883i | −0.152483 | − | 0.264108i | ||||
\(536\) | −0.934131 | − | 1.61796i | −0.0403483 | − | 0.0698853i | ||||
\(537\) | 21.6153 | − | 37.4387i | 0.932768 | − | 1.61560i | ||||
\(538\) | 13.0109 | 0.560941 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −2.22270 | −0.0956497 | ||||||||
\(541\) | 8.28103 | − | 14.3432i | 0.356029 | − | 0.616661i | −0.631264 | − | 0.775568i | \(-0.717464\pi\) |
0.987294 | + | 0.158907i | \(0.0507970\pi\) | |||||||
\(542\) | −16.7064 | − | 28.9364i | −0.717603 | − | 1.24292i | ||||
\(543\) | −26.2443 | − | 45.4564i | −1.12625 | − | 1.95072i | ||||
\(544\) | 9.34744 | − | 16.1902i | 0.400768 | − | 0.694151i | ||||
\(545\) | −9.09096 | −0.389414 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.64448 | −0.284097 | −0.142049 | − | 0.989860i | \(-0.545369\pi\) | ||||
−0.142049 | + | 0.989860i | \(0.545369\pi\) | |||||||
\(548\) | −4.95606 | + | 8.58414i | −0.211712 | + | 0.366696i | ||||
\(549\) | −3.97252 | − | 6.88061i | −0.169543 | − | 0.293657i | ||||
\(550\) | −4.21516 | − | 7.30087i | −0.179735 | − | 0.311310i | ||||
\(551\) | 29.0127 | − | 50.2514i | 1.23598 | − | 2.14078i | ||||
\(552\) | −5.55114 | −0.236272 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 25.4018 | 1.07922 | ||||||||
\(555\) | −4.23817 | + | 7.34072i | −0.179900 | + | 0.311596i | ||||
\(556\) | −1.77557 | − | 3.07537i | −0.0753009 | − | 0.130425i | ||||
\(557\) | −6.55595 | − | 11.3552i | −0.277784 | − | 0.481137i | 0.693049 | − | 0.720890i | \(-0.256267\pi\) |
−0.970834 | + | 0.239753i | \(0.922933\pi\) | |||||||
\(558\) | 10.8172 | − | 18.7360i | 0.457930 | − | 0.793158i | ||||
\(559\) | −8.76729 | −0.370817 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.23163 | −0.263099 | ||||||||
\(562\) | −19.2898 | + | 33.4108i | −0.813689 | + | 1.40935i | ||||
\(563\) | 15.2443 | + | 26.4039i | 0.642470 | + | 1.11279i | 0.984880 | + | 0.173240i | \(0.0554235\pi\) |
−0.342410 | + | 0.939551i | \(0.611243\pi\) | |||||||
\(564\) | −4.25136 | − | 7.36358i | −0.179015 | − | 0.310063i | ||||
\(565\) | 2.76129 | − | 4.78269i | 0.116168 | − | 0.201209i | ||||
\(566\) | −0.646470 | −0.0271732 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.00347 | −0.209941 | ||||||||
\(569\) | 17.6790 | − | 30.6208i | 0.741140 | − | 1.28369i | −0.210836 | − | 0.977521i | \(-0.567619\pi\) |
0.951976 | − | 0.306171i | \(-0.0990480\pi\) | |||||||
\(570\) | −7.12955 | − | 12.3487i | −0.298624 | − | 0.517232i | ||||
\(571\) | 20.6422 | + | 35.7533i | 0.863849 | + | 1.49623i | 0.868185 | + | 0.496240i | \(0.165287\pi\) |
−0.00433587 | + | 0.999991i | \(0.501380\pi\) | |||||||
\(572\) | 1.22890 | − | 2.12851i | 0.0513827 | − | 0.0889975i | ||||
\(573\) | −24.4753 | −1.02247 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −9.95398 | −0.415110 | ||||||||
\(576\) | 2.16849 | − | 3.75593i | 0.0903536 | − | 0.156497i | ||||
\(577\) | 4.35125 | + | 7.53659i | 0.181145 | + | 0.313752i | 0.942271 | − | 0.334852i | \(-0.108686\pi\) |
−0.761126 | + | 0.648604i | \(0.775353\pi\) | |||||||
\(578\) | 8.22389 | + | 14.2442i | 0.342069 | + | 0.592480i | ||||
\(579\) | −3.97372 | + | 6.88268i | −0.165142 | + | 0.286034i | ||||
\(580\) | −9.04494 | −0.375571 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 10.4698 | 0.433987 | ||||||||
\(583\) | 3.73490 | − | 6.46903i | 0.154684 | − | 0.267920i | ||||
\(584\) | 9.32224 | + | 16.1466i | 0.385757 | + | 0.668151i | ||||
\(585\) | −1.04994 | − | 1.81856i | −0.0434098 | − | 0.0751881i | ||||
\(586\) | −3.17622 | + | 5.50138i | −0.131209 | + | 0.227260i | ||||
\(587\) | 23.0539 | 0.951535 | 0.475767 | − | 0.879571i | \(-0.342170\pi\) | ||||
0.475767 | + | 0.879571i | \(0.342170\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −35.7727 | −1.47399 | ||||||||
\(590\) | 6.88191 | − | 11.9198i | 0.283324 | − | 0.490731i | ||||
\(591\) | −2.65856 | − | 4.60477i | −0.109359 | − | 0.189415i | ||||
\(592\) | 14.7618 | + | 25.5682i | 0.606707 | + | 1.05085i | ||||
\(593\) | 15.0494 | − | 26.0663i | 0.618005 | − | 1.07042i | −0.371844 | − | 0.928295i | \(-0.621275\pi\) |
0.989849 | − | 0.142121i | \(-0.0453921\pi\) | |||||||
\(594\) | 4.70142 | 0.192902 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.36445 | −0.0558900 | ||||||||
\(597\) | −20.3337 | + | 35.2190i | −0.832203 | + | 1.44142i | ||||
\(598\) | −3.57787 | − | 6.19706i | −0.146310 | − | 0.253416i | ||||
\(599\) | −14.6257 | − | 25.3325i | −0.597591 | − | 1.03506i | −0.993176 | − | 0.116629i | \(-0.962791\pi\) |
0.395584 | − | 0.918430i | \(-0.370542\pi\) | |||||||
\(600\) | −5.89019 | + | 10.2021i | −0.240466 | + | 0.416499i | ||||
\(601\) | 26.8222 | 1.09410 | 0.547051 | − | 0.837099i | \(-0.315750\pi\) | ||||
0.547051 | + | 0.837099i | \(0.315750\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.93959 | −0.119709 | ||||||||
\(604\) | −1.18396 | + | 2.05068i | −0.0481746 | + | 0.0834409i | ||||
\(605\) | −0.317776 | − | 0.550404i | −0.0129194 | − | 0.0223771i | ||||
\(606\) | −19.9633 | − | 34.5774i | −0.810952 | − | 1.40461i | ||||
\(607\) | 16.1048 | − | 27.8943i | 0.653674 | − | 1.13220i | −0.328551 | − | 0.944486i | \(-0.606560\pi\) |
0.982224 | − | 0.187710i | \(-0.0601065\pi\) | |||||||
\(608\) | −36.6949 | −1.48817 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 5.04949 | 0.204448 | ||||||||
\(611\) | −2.55267 | + | 4.42136i | −0.103270 | + | 0.178869i | ||||
\(612\) | −3.54667 | − | 6.14302i | −0.143366 | − | 0.248317i | ||||
\(613\) | −22.2975 | − | 38.6204i | −0.900587 | − | 1.55986i | −0.826733 | − | 0.562594i | \(-0.809803\pi\) |
−0.0738539 | − | 0.997269i | \(-0.523530\pi\) | |||||||
\(614\) | −5.97480 | + | 10.3487i | −0.241123 | + | 0.417638i | ||||
\(615\) | −10.5302 | −0.424619 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −0.531290 | −0.0213889 | −0.0106945 | − | 0.999943i | \(-0.503404\pi\) | ||||
−0.0106945 | + | 0.999943i | \(0.503404\pi\) | |||||||
\(618\) | 12.5659 | − | 21.7647i | 0.505473 | − | 0.875506i | ||||
\(619\) | 20.8726 | + | 36.1525i | 0.838942 | + | 1.45309i | 0.890780 | + | 0.454435i | \(0.150159\pi\) |
−0.0518379 | + | 0.998656i | \(0.516508\pi\) | |||||||
\(620\) | 2.78811 | + | 4.82915i | 0.111973 | + | 0.193943i | ||||
\(621\) | 2.77557 | − | 4.80743i | 0.111380 | − | 0.192915i | ||||
\(622\) | −21.3324 | −0.855352 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −19.2766 | −0.771680 | ||||||||
\(625\) | −9.55213 | + | 16.5448i | −0.382085 | + | 0.661791i | ||||
\(626\) | −24.8519 | − | 43.0448i | −0.993282 | − | 1.72041i | ||||
\(627\) | 6.11581 | + | 10.5929i | 0.244242 | + | 0.423040i | ||||
\(628\) | −5.41658 | + | 9.38179i | −0.216145 | + | 0.374374i | ||||
\(629\) | 17.1921 | 0.685496 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.217238 | −0.00864810 | −0.00432405 | − | 0.999991i | \(-0.501376\pi\) | ||||
−0.00432405 | + | 0.999991i | \(0.501376\pi\) | |||||||
\(632\) | 2.77557 | − | 4.80743i | 0.110406 | − | 0.191229i | ||||
\(633\) | 8.63555 | + | 14.9572i | 0.343232 | + | 0.594496i | ||||
\(634\) | −3.54167 | − | 6.13434i | −0.140658 | − | 0.243626i | ||||
\(635\) | −6.67295 | + | 11.5579i | −0.264808 | + | 0.458661i | ||||
\(636\) | 22.4094 | 0.888590 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 19.1317 | 0.757433 | ||||||||
\(639\) | −3.93632 | + | 6.81790i | −0.155718 | + | 0.269712i | ||||
\(640\) | −2.81396 | − | 4.87392i | −0.111232 | − | 0.192659i | ||||
\(641\) | 4.84525 | + | 8.39222i | 0.191376 | + | 0.331473i | 0.945706 | − | 0.325022i | \(-0.105372\pi\) |
−0.754331 | + | 0.656495i | \(0.772038\pi\) | |||||||
\(642\) | −22.3804 | + | 38.7639i | −0.883283 | + | 1.52989i | ||||
\(643\) | −16.4633 | −0.649247 | −0.324624 | − | 0.945843i | \(-0.605238\pi\) | ||||
−0.324624 | + | 0.945843i | \(0.605238\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.80131 | −0.267801 | ||||||||
\(646\) | −14.4605 | + | 25.0464i | −0.568942 | + | 0.985436i | ||||
\(647\) | 0.436861 | + | 0.756665i | 0.0171748 | + | 0.0297476i | 0.874485 | − | 0.485052i | \(-0.161199\pi\) |
−0.857310 | + | 0.514800i | \(0.827866\pi\) | |||||||
\(648\) | −6.49226 | − | 11.2449i | −0.255040 | − | 0.441743i | ||||
\(649\) | −5.90338 | + | 10.2250i | −0.231728 | + | 0.401365i | ||||
\(650\) | −15.1856 | −0.595628 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −21.8386 | −0.855266 | ||||||||
\(653\) | 19.9665 | − | 34.5830i | 0.781350 | − | 1.35334i | −0.149805 | − | 0.988716i | \(-0.547865\pi\) |
0.931155 | − | 0.364623i | \(-0.118802\pi\) | |||||||
\(654\) | 28.8436 | + | 49.9586i | 1.12787 | + | 1.95354i | ||||
\(655\) | −4.35398 | − | 7.54132i | −0.170124 | − | 0.294664i | ||||
\(656\) | −18.3387 | + | 31.7636i | −0.716006 | + | 1.24016i | ||||
\(657\) | 29.3359 | 1.14450 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −6.89465 | −0.268578 | −0.134289 | − | 0.990942i | \(-0.542875\pi\) | ||||
−0.134289 | + | 0.990942i | \(0.542875\pi\) | |||||||
\(660\) | 0.953328 | − | 1.65121i | 0.0371082 | − | 0.0642734i | ||||
\(661\) | −20.0072 | − | 34.6535i | −0.778190 | − | 1.34786i | −0.932984 | − | 0.359917i | \(-0.882805\pi\) |
0.154795 | − | 0.987947i | \(-0.450528\pi\) | |||||||
\(662\) | −5.64056 | − | 9.76973i | −0.219227 | − | 0.379711i | ||||
\(663\) | −5.61254 | + | 9.72121i | −0.217973 | + | 0.377540i | ||||
\(664\) | −10.7618 | −0.417640 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 20.4083 | 0.790806 | ||||||||
\(667\) | 11.2948 | − | 19.5631i | 0.437335 | − | 0.757487i | ||||
\(668\) | 0.790843 | + | 1.36978i | 0.0305986 | + | 0.0529984i | ||||
\(669\) | 22.3574 | + | 38.7241i | 0.864386 | + | 1.49716i | ||||
\(670\) | 0.934131 | − | 1.61796i | 0.0360886 | − | 0.0625073i | ||||
\(671\) | −4.33151 | −0.167216 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 31.3788 | 1.20957 | 0.604783 | − | 0.796391i | \(-0.293260\pi\) | ||||
0.604783 | + | 0.796391i | \(0.293260\pi\) | |||||||
\(674\) | 10.7860 | − | 18.6820i | 0.415463 | − | 0.719602i | ||||
\(675\) | −5.89019 | − | 10.2021i | −0.226713 | − | 0.392679i | ||||
\(676\) | 6.65529 | + | 11.5273i | 0.255973 | + | 0.443358i | ||||
\(677\) | −18.2658 | + | 31.6372i | −0.702010 | + | 1.21592i | 0.265750 | + | 0.964042i | \(0.414380\pi\) |
−0.967760 | + | 0.251875i | \(0.918953\pi\) | |||||||
\(678\) | −35.0439 | −1.34585 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −2.09989 | −0.0805270 | ||||||||
\(681\) | 7.93686 | − | 13.7470i | 0.304141 | − | 0.526788i | ||||
\(682\) | −5.89738 | − | 10.2146i | −0.225822 | − | 0.391136i | ||||
\(683\) | 7.63501 | + | 13.2242i | 0.292146 | + | 0.506011i | 0.974317 | − | 0.225181i | \(-0.0722975\pi\) |
−0.682171 | + | 0.731192i | \(0.738964\pi\) | |||||||
\(684\) | −6.96152 | + | 12.0577i | −0.266180 | + | 0.461038i | ||||
\(685\) | 4.61701 | 0.176407 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −26.5411 | −1.01261 | ||||||||
\(688\) | −11.8447 | + | 20.5156i | −0.451575 | + | 0.782151i | ||||
\(689\) | −6.72770 | − | 11.6527i | −0.256305 | − | 0.443933i | ||||
\(690\) | −2.77557 | − | 4.80743i | −0.105664 | − | 0.183016i | ||||
\(691\) | −19.1921 | + | 33.2418i | −0.730104 | + | 1.26458i | 0.226735 | + | 0.973957i | \(0.427195\pi\) |
−0.956839 | + | 0.290620i | \(0.906138\pi\) | |||||||
\(692\) | 1.35552 | 0.0515291 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.54221 | −0.0585414 | ||||||||
\(695\) | −0.827049 | + | 1.43249i | −0.0313718 | + | 0.0543375i | ||||
\(696\) | −13.3672 | − | 23.1526i | −0.506682 | − | 0.877598i | ||||
\(697\) | 10.6790 | + | 18.4965i | 0.404494 | + | 0.700604i | ||||
\(698\) | 8.37491 | − | 14.5058i | 0.316995 | − | 0.549052i | ||||
\(699\) | −16.5830 | −0.627226 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 17.9056 | 0.676284 | 0.338142 | − | 0.941095i | \(-0.390202\pi\) | ||||
0.338142 | + | 0.941095i | \(0.390202\pi\) | |||||||
\(702\) | 4.23436 | − | 7.33412i | 0.159815 | − | 0.276808i | ||||
\(703\) | −16.8726 | − | 29.2243i | −0.636364 | − | 1.10221i | ||||
\(704\) | −1.18222 | − | 2.04767i | −0.0445567 | − | 0.0771745i | ||||
\(705\) | −1.98026 | + | 3.42991i | −0.0745809 | + | 0.129178i | ||||
\(706\) | −41.6883 | −1.56896 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −35.4203 | −1.33118 | ||||||||
\(709\) | −17.1997 | + | 29.7907i | −0.645948 | + | 1.11881i | 0.338134 | + | 0.941098i | \(0.390204\pi\) |
−0.984082 | + | 0.177716i | \(0.943129\pi\) | |||||||
\(710\) | −2.50173 | − | 4.33313i | −0.0938884 | − | 0.162620i | ||||
\(711\) | −4.36718 | − | 7.56417i | −0.163782 | − | 0.283679i | ||||
\(712\) | −0.212429 | + | 0.367938i | −0.00796111 | + | 0.0137890i | ||||
\(713\) | −13.9265 | −0.521552 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.14483 | −0.0428140 | ||||||||
\(716\) | 13.4138 | − | 23.2335i | 0.501299 | − | 0.868276i | ||||
\(717\) | 10.8244 | + | 18.7485i | 0.404246 | + | 0.700174i | ||||
\(718\) | 24.0456 | + | 41.6482i | 0.897373 | + | 1.55430i | ||||
\(719\) | 24.7086 | − | 42.7966i | 0.921476 | − | 1.59604i | 0.124343 | − | 0.992239i | \(-0.460318\pi\) |
0.797133 | − | 0.603804i | \(-0.206349\pi\) | |||||||
\(720\) | −5.67395 | −0.211455 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 21.9165 | 0.815647 | ||||||||
\(723\) | −1.84144 | + | 3.18946i | −0.0684838 | + | 0.118617i | ||||
\(724\) | −16.2865 | − | 28.2090i | −0.605283 | − | 1.04838i | ||||
\(725\) | −23.9693 | − | 41.5160i | −0.890196 | − | 1.54186i | ||||
\(726\) | −2.01647 | + | 3.49262i | −0.0748381 | + | 0.129623i | ||||
\(727\) | 19.8201 | 0.735086 | 0.367543 | − | 0.930007i | \(-0.380199\pi\) | ||||
0.367543 | + | 0.930007i | \(0.380199\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −3.52366 | −0.130506 | ||||||||
\(730\) | −9.32224 | + | 16.1466i | −0.345032 | + | 0.597612i | ||||
\(731\) | 6.89738 | + | 11.9466i | 0.255109 | + | 0.441862i | ||||
\(732\) | −6.49727 | − | 11.2536i | −0.240146 | − | 0.415945i | ||||
\(733\) | −15.3238 | + | 26.5416i | −0.565997 | + | 0.980335i | 0.430960 | + | 0.902371i | \(0.358175\pi\) |
−0.996956 | + | 0.0779637i | \(0.975158\pi\) | |||||||
\(734\) | 7.01092 | 0.258778 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −14.2855 | −0.526570 | ||||||||
\(737\) | −0.801309 | + | 1.38791i | −0.0295166 | + | 0.0511242i | ||||
\(738\) | 12.6767 | + | 21.9566i | 0.466635 | + | 0.808235i | ||||
\(739\) | −8.55094 | − | 14.8107i | −0.314551 | − | 0.544819i | 0.664791 | − | 0.747030i | \(-0.268521\pi\) |
−0.979342 | + | 0.202211i | \(0.935187\pi\) | |||||||
\(740\) | −2.63009 | + | 4.55545i | −0.0966841 | + | 0.167462i | ||||
\(741\) | 22.0329 | 0.809400 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −6.97252 | −0.255797 | −0.127899 | − | 0.991787i | \(-0.540823\pi\) | ||||
−0.127899 | + | 0.991787i | \(0.540823\pi\) | |||||||
\(744\) | −8.24090 | + | 14.2737i | −0.302126 | + | 0.523298i | ||||
\(745\) | 0.317776 | + | 0.550404i | 0.0116424 | + | 0.0201652i | ||||
\(746\) | −13.8556 | − | 23.9987i | −0.507291 | − | 0.878653i | ||||
\(747\) | −8.46652 | + | 14.6644i | −0.309774 | + | 0.536544i | ||||
\(748\) | −3.86718 | −0.141398 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −24.5961 | −0.898122 | ||||||||
\(751\) | −7.61636 | + | 13.1919i | −0.277925 | + | 0.481380i | −0.970869 | − | 0.239612i | \(-0.922980\pi\) |
0.692944 | + | 0.720991i | \(0.256313\pi\) | |||||||
\(752\) | 6.89738 | + | 11.9466i | 0.251522 | + | 0.435648i | ||||
\(753\) | 21.7383 | + | 37.6518i | 0.792187 | + | 1.37211i | ||||
\(754\) | 17.2311 | − | 29.8451i | 0.627519 | − | 1.08689i | ||||
\(755\) | 1.10296 | 0.0401409 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.5326 | −0.528196 | −0.264098 | − | 0.964496i | \(-0.585074\pi\) | ||||
−0.264098 | + | 0.964496i | \(0.585074\pi\) | |||||||
\(758\) | 10.4336 | − | 18.0715i | 0.378965 | − | 0.656387i | ||||
\(759\) | 2.38092 | + | 4.12387i | 0.0864217 | + | 0.149687i | ||||
\(760\) | 2.06086 | + | 3.56952i | 0.0747553 | + | 0.129480i | ||||
\(761\) | −0.856712 | + | 1.48387i | −0.0310558 | + | 0.0537902i | −0.881136 | − | 0.472864i | \(-0.843220\pi\) |
0.850080 | + | 0.526654i | \(0.176554\pi\) | |||||||
\(762\) | 84.6872 | 3.06790 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −15.1887 | −0.549507 | ||||||||
\(765\) | −1.65202 | + | 2.86138i | −0.0597289 | + | 0.103453i | ||||
\(766\) | 8.14929 | + | 14.1150i | 0.294446 | + | 0.509995i | ||||
\(767\) | 10.6338 | + | 18.4183i | 0.383965 | + | 0.665047i | ||||
\(768\) | −23.0549 | + | 39.9322i | −0.831921 | + | 1.44093i | ||||
\(769\) | 36.5874 | 1.31937 | 0.659687 | − | 0.751540i | \(-0.270689\pi\) | ||||
0.659687 | + | 0.751540i | \(0.270689\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.98037 | −0.215378 | ||||||||
\(772\) | −2.46598 | + | 4.27120i | −0.0887526 | + | 0.153724i | ||||
\(773\) | 13.4106 | + | 23.2278i | 0.482345 | + | 0.835446i | 0.999795 | − | 0.0202677i | \(-0.00645185\pi\) |
−0.517450 | + | 0.855714i | \(0.673119\pi\) | |||||||
\(774\) | 8.18768 | + | 14.1815i | 0.294300 | + | 0.509743i | ||||
\(775\) | −14.7771 | + | 25.5947i | −0.530809 | + | 0.919389i | ||||
\(776\) | −3.02639 | −0.108641 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −36.4997 | −1.30858 | ||||||||
\(779\) | 20.9610 | − | 36.3055i | 0.751005 | − | 1.30078i | ||||
\(780\) | −1.71724 | − | 2.97434i | −0.0614870 | − | 0.106499i | ||||
\(781\) | 2.14602 | + | 3.71701i | 0.0767906 | + | 0.133005i | ||||
\(782\) | −5.62955 | + | 9.75067i | −0.201312 | + | 0.348683i | ||||
\(783\) | 26.7344 | 0.955408 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 5.04602 | 0.180100 | ||||||||
\(786\) | −27.6285 | + | 47.8539i | −0.985475 | + | 1.70689i | ||||
\(787\) | 2.47580 | + | 4.28821i | 0.0882526 | + | 0.152858i | 0.906773 | − | 0.421620i | \(-0.138538\pi\) |
−0.818520 | + | 0.574478i | \(0.805205\pi\) | |||||||
\(788\) | −1.64983 | − | 2.85759i | −0.0587728 | − | 0.101798i | ||||
\(789\) | −13.9561 | + | 24.1726i | −0.496849 | + | 0.860567i | ||||
\(790\) | 5.55114 | 0.197501 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 2.13828 | 0.0759805 | ||||||||
\(793\) | −3.90120 | + | 6.75707i | −0.138536 | + | 0.239951i | ||||
\(794\) | −31.9714 | − | 55.3762i | −1.13462 | − | 1.96523i | ||||
\(795\) | −5.21908 | − | 9.03971i | −0.185102 | − | 0.320606i | ||||
\(796\) | −12.6185 | + | 21.8560i | −0.447252 | + | 0.774664i | ||||
\(797\) | 26.6818 | 0.945117 | 0.472559 | − | 0.881299i | \(-0.343330\pi\) | ||||
0.472559 | + | 0.881299i | \(0.343330\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.03293 | 0.284185 | ||||||||
\(800\) | −15.1580 | + | 26.2545i | −0.535917 | + | 0.928235i | ||||
\(801\) | 0.334243 | + | 0.578926i | 0.0118099 | + | 0.0204554i | ||||
\(802\) | −10.4518 | − | 18.1030i | −0.369066 | − | 0.639240i | ||||
\(803\) | 7.99673 | − | 13.8507i | 0.282198 | − | 0.488782i | ||||
\(804\) | −4.80785 | −0.169560 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −21.2460 | −0.748359 | ||||||||
\(807\) | −7.79804 | + | 13.5066i | −0.274504 | + | 0.475455i | ||||
\(808\) | 5.77056 | + | 9.99491i | 0.203008 | + | 0.351620i | ||||
\(809\) | 19.7700 | + | 34.2427i | 0.695077 | + | 1.20391i | 0.970155 | + | 0.242487i | \(0.0779630\pi\) |
−0.275078 | + | 0.961422i | \(0.588704\pi\) | |||||||
\(810\) | 6.49226 | − | 11.2449i | 0.228115 | − | 0.395107i | ||||
\(811\) | 33.4543 | 1.17474 | 0.587370 | − | 0.809318i | \(-0.300163\pi\) | ||||
0.587370 | + | 0.809318i | \(0.300163\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 40.0517 | 1.40467 | ||||||||
\(814\) | 5.56314 | − | 9.63564i | 0.194988 | − | 0.337729i | ||||
\(815\) | 5.08615 | + | 8.80947i | 0.178160 | + | 0.308582i | ||||
\(816\) | 15.1652 | + | 26.2669i | 0.530889 | + | 0.919526i | ||||
\(817\) | 13.5384 | − | 23.4492i | 0.473648 | − | 0.820383i | ||||
\(818\) | 7.49818 | 0.262168 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −6.53476 | −0.228204 | ||||||||
\(821\) | −28.4310 | + | 49.2439i | −0.992248 | + | 1.71862i | −0.388497 | + | 0.921450i | \(0.627006\pi\) |
−0.603751 | + | 0.797173i | \(0.706328\pi\) | |||||||
\(822\) | −14.6487 | − | 25.3724i | −0.510934 | − | 0.884963i | ||||
\(823\) | 20.0878 | + | 34.7931i | 0.700217 | + | 1.21281i | 0.968390 | + | 0.249440i | \(0.0802465\pi\) |
−0.268174 | + | 0.963371i | \(0.586420\pi\) | |||||||
\(824\) | −3.63228 | + | 6.29129i | −0.126536 | + | 0.219168i | ||||
\(825\) | 10.1053 | 0.351823 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −5.73544 | −0.199441 | −0.0997204 | − | 0.995015i | \(-0.531795\pi\) | ||||
−0.0997204 | + | 0.995015i | \(0.531795\pi\) | |||||||
\(828\) | −2.71015 | + | 4.69412i | −0.0941843 | + | 0.163132i | ||||
\(829\) | −17.7980 | − | 30.8271i | −0.618151 | − | 1.07067i | −0.989823 | − | 0.142305i | \(-0.954549\pi\) |
0.371671 | − | 0.928364i | \(-0.378785\pi\) | |||||||
\(830\) | −5.38092 | − | 9.32002i | −0.186774 | − | 0.323503i | ||||
\(831\) | −15.2244 | + | 26.3695i | −0.528130 | + | 0.914747i | ||||
\(832\) | −4.25910 | −0.147658 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 10.4962 | 0.363453 | ||||||||
\(835\) | 0.368370 | − | 0.638036i | 0.0127480 | − | 0.0220801i | ||||
\(836\) | 3.79531 | + | 6.57367i | 0.131263 | + | 0.227355i | ||||
\(837\) | −8.24090 | − | 14.2737i | −0.284847 | − | 0.493370i | ||||
\(838\) | 30.0818 | − | 52.1032i | 1.03916 | − | 1.79988i | ||||
\(839\) | 41.7727 | 1.44216 | 0.721078 | − | 0.692854i | \(-0.243647\pi\) | ||||
0.721078 | + | 0.692854i | \(0.243647\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 79.7915 | 2.75143 | ||||||||
\(842\) | 7.81505 | − | 13.5361i | 0.269324 | − | 0.466483i | ||||
\(843\) | −23.1225 | − | 40.0493i | −0.796380 | − | 1.37937i | ||||
\(844\) | 5.35899 | + | 9.28204i | 0.184464 | + | 0.319501i | ||||
\(845\) | 3.10000 | − | 5.36935i | 0.106643 | − | 0.184711i | ||||
\(846\) | 9.53566 | 0.327843 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −36.3568 | −1.24850 | ||||||||
\(849\) | 0.387459 | − | 0.671099i | 0.0132976 | − | 0.0230321i | ||||
\(850\) | 11.9468 | + | 20.6924i | 0.409771 | + | 0.709745i | ||||
\(851\) | −6.56860 | − | 11.3771i | −0.225169 | − | 0.390004i | ||||
\(852\) | −6.43805 | + | 11.1510i | −0.220564 | + | 0.382028i | ||||
\(853\) | −49.7871 | −1.70468 | −0.852340 | − | 0.522989i | \(-0.824817\pi\) | ||||
−0.852340 | + | 0.522989i | \(0.824817\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 6.48527 | 0.221791 | ||||||||
\(856\) | 6.46925 | − | 11.2051i | 0.221115 | − | 0.382982i | ||||
\(857\) | 12.7394 | + | 22.0652i | 0.435168 | + | 0.753734i | 0.997309 | − | 0.0733077i | \(-0.0233555\pi\) |
−0.562141 | + | 0.827041i | \(0.690022\pi\) | |||||||
\(858\) | 3.63228 | + | 6.29129i | 0.124004 | + | 0.214781i | ||||
\(859\) | 8.08080 | − | 13.9964i | 0.275713 | − | 0.477549i | −0.694602 | − | 0.719395i | \(-0.744419\pi\) |
0.970315 | + | 0.241845i | \(0.0777526\pi\) | |||||||
\(860\) | −4.22071 | −0.143925 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −30.6949 | −1.04547 | ||||||||
\(863\) | −1.44951 | + | 2.51063i | −0.0493420 | + | 0.0854629i | −0.889642 | − | 0.456660i | \(-0.849046\pi\) |
0.840300 | + | 0.542122i | \(0.182379\pi\) | |||||||
\(864\) | −8.45333 | − | 14.6416i | −0.287588 | − | 0.498117i | ||||
\(865\) | −0.315697 | − | 0.546802i | −0.0107340 | − | 0.0185918i | ||||
\(866\) | −23.7224 | + | 41.0883i | −0.806118 | + | 1.39624i | ||||
\(867\) | −19.7158 | −0.669584 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −4.76183 | −0.161534 | ||||||||
\(870\) | 13.3672 | − | 23.1526i | 0.453190 | − | 0.784948i | ||||
\(871\) | 1.44340 | + | 2.50005i | 0.0489079 | + | 0.0847110i | ||||
\(872\) | −8.33752 | − | 14.4410i | −0.282344 | − | 0.489034i | ||||
\(873\) | −2.38092 | + | 4.12387i | −0.0805818 | + | 0.139572i | ||||
\(874\) | 22.0997 | 0.747534 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 47.9804 | 1.62111 | ||||||||
\(877\) | 4.20742 | − | 7.28747i | 0.142075 | − | 0.246080i | −0.786203 | − | 0.617968i | \(-0.787956\pi\) |
0.928278 | + | 0.371888i | \(0.121289\pi\) | |||||||
\(878\) | −8.77557 | − | 15.1997i | −0.296161 | − | 0.512966i | ||||
\(879\) | −3.80731 | − | 6.59445i | −0.128417 | − | 0.222425i | ||||
\(880\) | −1.54667 | + | 2.67891i | −0.0521383 | + | 0.0903062i | ||||
\(881\) | −41.5335 | −1.39930 | −0.699649 | − | 0.714486i | \(-0.746660\pi\) | ||||
−0.699649 | + | 0.714486i | \(0.746660\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −56.4753 | −1.90054 | −0.950272 | − | 0.311422i | \(-0.899195\pi\) | ||||
−0.950272 | + | 0.311422i | \(0.899195\pi\) | |||||||
\(884\) | −3.48299 | + | 6.03272i | −0.117146 | + | 0.202902i | ||||
\(885\) | 8.24929 | + | 14.2882i | 0.277297 | + | 0.480292i | ||||
\(886\) | −17.4555 | − | 30.2338i | −0.586429 | − | 1.01573i | ||||
\(887\) | −17.2898 | + | 29.9467i | −0.580533 | + | 1.00551i | 0.414883 | + | 0.909875i | \(0.363823\pi\) |
−0.995416 | + | 0.0956383i | \(0.969511\pi\) | |||||||
\(888\) | −15.5477 | −0.521746 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −0.424858 | −0.0142413 | ||||||||
\(891\) | −5.56914 | + | 9.64603i | −0.186573 | + | 0.323154i | ||||
\(892\) | 13.8744 | + | 24.0311i | 0.464548 | + | 0.804621i | ||||
\(893\) | −7.88364 | − | 13.6549i | −0.263816 | − | 0.456943i | ||||
\(894\) | 2.01647 | − | 3.49262i | 0.0674408 | − | 0.116811i | ||||
\(895\) | −12.4962 | −0.417701 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 8.57753 | 0.286395 | ||||||||
\(898\) | −30.5791 | + | 52.9645i | −1.02044 | + | 1.76745i | ||||
\(899\) | −33.5351 | − | 58.0845i | −1.11846 | − | 1.93723i | ||||
\(900\) | 5.75136 | + | 9.96166i | 0.191712 | + | 0.332055i | ||||
\(901\) | −10.5856 | + | 18.3348i | −0.352658 | + | 0.610821i | ||||
\(902\) | 13.8222 | 0.460230 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 10.1297 | 0.336910 | ||||||||
\(905\) | −7.58615 | + | 13.1396i | −0.252172 | + | 0.436775i | ||||
\(906\) | −3.49946 | − | 6.06124i | −0.116262 | − | 0.201371i | ||||
\(907\) | −4.20142 | − | 7.27707i | −0.139506 | − | 0.241631i | 0.787804 | − | 0.615926i | \(-0.211218\pi\) |
−0.927310 | + | 0.374295i | \(0.877885\pi\) | |||||||
\(908\) | 4.92540 | − | 8.53104i | 0.163455 | − | 0.283113i | ||||
\(909\) | 18.1592 | 0.602303 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −0.593689 | −0.0196698 | −0.00983489 | − | 0.999952i | \(-0.503131\pi\) | ||||
−0.00983489 | + | 0.999952i | \(0.503131\pi\) | |||||||
\(912\) | 29.7667 | − | 51.5575i | 0.985675 | − | 1.70724i | ||||
\(913\) | 4.61581 | + | 7.99482i | 0.152761 | + | 0.264590i | ||||
\(914\) | −10.9693 | − | 18.9993i | −0.362831 | − | 0.628441i | ||||
\(915\) | −3.02639 | + | 5.24186i | −0.100049 | + | 0.173291i | ||||
\(916\) | −16.4707 | −0.544207 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −13.3250 | −0.439790 | ||||||||
\(919\) | 8.16849 | − | 14.1482i | 0.269454 | − | 0.466707i | −0.699267 | − | 0.714860i | \(-0.746490\pi\) |
0.968721 | + | 0.248153i | \(0.0798236\pi\) | |||||||
\(920\) | 0.802304 | + | 1.38963i | 0.0264512 | + | 0.0458148i | ||||
\(921\) | −7.16194 | − | 12.4048i | −0.235994 | − | 0.408754i | ||||
\(922\) | 11.4545 | − | 19.8398i | 0.377235 | − | 0.653389i | ||||
\(923\) | 7.73128 | 0.254478 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −27.8792 | −0.916662 | ||||||||
\(926\) | −11.2893 | + | 19.5537i | −0.370990 | + | 0.642573i | ||||
\(927\) | 5.71516 | + | 9.89894i | 0.187710 | + | 0.325124i | ||||
\(928\) | −34.3996 | − | 59.5818i | −1.12922 | − | 1.95587i | ||||
\(929\) | 4.45060 | − | 7.70866i | 0.146019 | − | 0.252913i | −0.783733 | − | 0.621097i | \(-0.786687\pi\) |
0.929753 | + | 0.368184i | \(0.120020\pi\) | |||||||
\(930\) | −16.4818 | −0.540459 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −10.2910 | −0.337091 | ||||||||
\(933\) | 12.7855 | − | 22.1451i | 0.418578 | − | 0.724999i | ||||
\(934\) | 30.0456 | + | 52.0405i | 0.983122 | + | 1.70282i | ||||
\(935\) | 0.900654 | + | 1.55998i | 0.0294545 | + | 0.0510168i | ||||
\(936\) | 1.92585 | − | 3.33567i | 0.0629485 | − | 0.109030i | ||||
\(937\) | −45.2360 | −1.47780 | −0.738898 | − | 0.673817i | \(-0.764653\pi\) | ||||
−0.738898 | + | 0.673817i | \(0.764653\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 59.5795 | 1.94430 | ||||||||
\(940\) | −1.22890 | + | 2.12851i | −0.0400822 | + | 0.0694244i | ||||
\(941\) | −3.46652 | − | 6.00419i | −0.113005 | − | 0.195731i | 0.803975 | − | 0.594663i | \(-0.202714\pi\) |
−0.916981 | + | 0.398932i | \(0.869381\pi\) | |||||||
\(942\) | −16.0099 | − | 27.7300i | −0.521631 | − | 0.903492i | ||||
\(943\) | 8.16021 | − | 14.1339i | 0.265733 | − | 0.460263i | ||||
\(944\) | 57.4656 | 1.87035 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 8.92759 | 0.290261 | ||||||||
\(947\) | −10.3716 | + | 17.9642i | −0.337033 | + | 0.583758i | −0.983873 | − | 0.178867i | \(-0.942757\pi\) |
0.646840 | + | 0.762626i | \(0.276090\pi\) | |||||||
\(948\) | −7.14275 | − | 12.3716i | −0.231986 | − | 0.401811i | ||||
\(949\) | −14.4046 | − | 24.9495i | −0.467592 | − | 0.809894i | ||||
\(950\) | 23.4495 | − | 40.6157i | 0.760803 | − | 1.31775i | ||||
\(951\) | 8.49073 | 0.275331 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 20.2076 | 0.654589 | 0.327295 | − | 0.944922i | \(-0.393863\pi\) | ||||
0.327295 | + | 0.944922i | \(0.393863\pi\) | |||||||
\(954\) | −12.5659 | + | 21.7647i | −0.406835 | + | 0.704659i | ||||
\(955\) | 3.53740 | + | 6.12695i | 0.114468 | + | 0.198264i | ||||
\(956\) | 6.71735 | + | 11.6348i | 0.217254 | + | 0.376296i | ||||
\(957\) | −11.4665 | + | 19.8606i | −0.370660 | + | 0.642002i | ||||
\(958\) | −47.6499 | −1.53950 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −3.30404 | −0.106637 | ||||||||
\(961\) | −5.17449 | + | 8.96248i | −0.166919 | + | 0.289112i | ||||
\(962\) | −10.0209 | − | 17.3568i | −0.323088 | − | 0.559604i | ||||
\(963\) | −10.1790 | − | 17.6305i | −0.328012 | − | 0.568134i | ||||
\(964\) | −1.14275 | + | 1.97929i | −0.0368054 | + | 0.0637488i | ||||
\(965\) | 2.29728 | 0.0739520 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −7.98254 | −0.256701 | −0.128351 | − | 0.991729i | \(-0.540968\pi\) | ||||
−0.128351 | + | 0.991729i | \(0.540968\pi\) | |||||||
\(968\) | 0.582878 | − | 1.00958i | 0.0187344 | − | 0.0324490i | ||||
\(969\) | −17.3337 | − | 30.0229i | −0.556839 | − | 0.964473i | ||||
\(970\) | −1.51320 | − | 2.62093i | −0.0485858 | − | 0.0841530i | ||||
\(971\) | −6.88965 | + | 11.9332i | −0.221099 | + | 0.382955i | −0.955142 | − | 0.296148i | \(-0.904298\pi\) |
0.734043 | + | 0.679103i | \(0.237631\pi\) | |||||||
\(972\) | −22.9230 | −0.735257 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 26.6619 | 0.854304 | ||||||||
\(975\) | 9.10143 | − | 15.7641i | 0.291479 | − | 0.504856i | ||||
\(976\) | 10.5411 | + | 18.2578i | 0.337413 | + | 0.584417i | ||||
\(977\) | −6.01047 | − | 10.4104i | −0.192292 | − | 0.333059i | 0.753718 | − | 0.657199i | \(-0.228259\pi\) |
−0.946009 | + | 0.324139i | \(0.894925\pi\) | |||||||
\(978\) | 32.2745 | − | 55.9010i | 1.03202 | − | 1.78752i | ||||
\(979\) | 0.364448 | 0.0116478 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −26.2371 | −0.837686 | ||||||||
\(982\) | 36.1302 | − | 62.5793i | 1.15296 | − | 1.99699i | ||||
\(983\) | −22.3272 | − | 38.6718i | −0.712126 | − | 1.23344i | −0.964058 | − | 0.265693i | \(-0.914399\pi\) |
0.251932 | − | 0.967745i | \(-0.418934\pi\) | |||||||
\(984\) | −9.65748 | − | 16.7272i | −0.307869 | − | 0.533245i | ||||
\(985\) | −0.768482 | + | 1.33105i | −0.0244859 | + | 0.0424108i | ||||
\(986\) | −54.2240 | −1.72684 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 13.6730 | 0.434997 | ||||||||
\(989\) | 5.27056 | − | 9.12888i | 0.167594 | − | 0.290282i | ||||
\(990\) | 1.06914 | + | 1.85181i | 0.0339795 | + | 0.0588543i | ||||
\(991\) | 11.4830 | + | 19.8891i | 0.364769 | + | 0.631799i | 0.988739 | − | 0.149650i | \(-0.0478146\pi\) |
−0.623970 | + | 0.781448i | \(0.714481\pi\) | |||||||
\(992\) | −21.2074 | + | 36.7323i | −0.673336 | + | 1.16625i | ||||
\(993\) | 13.5226 | 0.429126 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 11.7553 | 0.372668 | ||||||||
\(996\) | −13.8474 | + | 23.9845i | −0.438773 | + | 0.759977i | ||||
\(997\) | 0.674488 | + | 1.16825i | 0.0213612 | + | 0.0369988i | 0.876508 | − | 0.481387i | \(-0.159867\pi\) |
−0.855147 | + | 0.518385i | \(0.826533\pi\) | |||||||
\(998\) | 24.0566 | + | 41.6672i | 0.761498 | + | 1.31895i | ||||
\(999\) | 7.77383 | − | 13.4647i | 0.245953 | − | 0.426003i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))