Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(299,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.299");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.m (of order \(2\), degree \(1\), 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: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + x^{14} + 4x^{12} + 12x^{10} + 16x^{8} + 48x^{6} + 64x^{4} + 64x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{11} \) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 299.10 | ||
Root | \(0.199044 + 1.40014i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.299 |
Dual form | 600.2.m.d.299.9 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.199044 | + | 1.40014i | 0.140746 | + | 0.990046i | ||||
\(3\) | −1.65195 | + | 0.520627i | −0.953755 | + | 0.300584i | ||||
\(4\) | −1.92076 | + | 0.557378i | −0.960381 | + | 0.278689i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.05776 | − | 2.20933i | −0.431829 | − | 0.901956i | ||||
\(7\) | −1.92736 | −0.728472 | −0.364236 | − | 0.931307i | \(-0.618670\pi\) | ||||
−0.364236 | + | 0.931307i | \(0.618670\pi\) | |||||||
\(8\) | −1.16272 | − | 2.57839i | −0.411084 | − | 0.911597i | ||||
\(9\) | 2.45790 | − | 1.72010i | 0.819299 | − | 0.573367i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 4.02057i | − | 1.21225i | −0.795370 | − | 0.606124i | \(-0.792723\pi\) | ||
0.795370 | − | 0.606124i | \(-0.207277\pi\) | |||||||
\(12\) | 2.88282 | − | 1.92076i | 0.832199 | − | 0.554476i | ||||
\(13\) | 4.81675 | 1.33593 | 0.667963 | − | 0.744194i | \(-0.267166\pi\) | ||||
0.667963 | + | 0.744194i | \(0.267166\pi\) | |||||||
\(14\) | −0.383629 | − | 2.69856i | −0.102529 | − | 0.721221i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.37866 | − | 2.14118i | 0.844665 | − | 0.535296i | ||||
\(17\) | −5.23126 | −1.26877 | −0.634384 | − | 0.773018i | \(-0.718746\pi\) | ||||
−0.634384 | + | 0.773018i | \(0.718746\pi\) | |||||||
\(18\) | 2.89761 | + | 3.09901i | 0.682972 | + | 0.730444i | ||||
\(19\) | 0.684753 | 0.157093 | 0.0785465 | − | 0.996910i | \(-0.474972\pi\) | ||||
0.0785465 | + | 0.996910i | \(0.474972\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.18390 | − | 1.00343i | 0.694784 | − | 0.218967i | ||||
\(22\) | 5.62935 | − | 0.800272i | 1.20018 | − | 0.170619i | ||||
\(23\) | 1.72601i | 0.359897i | 0.983676 | + | 0.179949i | \(0.0575931\pi\) | ||||
−0.983676 | + | 0.179949i | \(0.942407\pi\) | |||||||
\(24\) | 3.26314 | + | 3.65403i | 0.666085 | + | 0.745875i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.958747 | + | 6.74411i | 0.188026 | + | 1.32263i | ||||
\(27\) | −3.16480 | + | 4.12117i | −0.609066 | + | 0.793120i | ||||
\(28\) | 3.70199 | − | 1.07427i | 0.699611 | − | 0.203017i | ||||
\(29\) | 6.99830 | 1.29955 | 0.649776 | − | 0.760126i | \(-0.274863\pi\) | ||||
0.649776 | + | 0.760126i | \(0.274863\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 4.23638i | − | 0.760876i | −0.924806 | − | 0.380438i | \(-0.875773\pi\) | ||
0.924806 | − | 0.380438i | \(-0.124227\pi\) | |||||||
\(32\) | 3.67045 | + | 4.30439i | 0.648850 | + | 0.760916i | ||||
\(33\) | 2.09322 | + | 6.64180i | 0.364382 | + | 1.15619i | ||||
\(34\) | −1.04125 | − | 7.32448i | −0.178573 | − | 1.25614i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.76229 | + | 4.67388i | −0.627048 | + | 0.778981i | ||||
\(37\) | 9.83221 | 1.61640 | 0.808202 | − | 0.588905i | \(-0.200441\pi\) | ||||
0.808202 | + | 0.588905i | \(0.200441\pi\) | |||||||
\(38\) | 0.136296 | + | 0.958747i | 0.0221102 | + | 0.155529i | ||||
\(39\) | −7.95705 | + | 2.50773i | −1.27415 | + | 0.401558i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 3.44020i | − | 0.537269i | −0.963242 | − | 0.268635i | \(-0.913428\pi\) | ||
0.963242 | − | 0.268635i | \(-0.0865724\pi\) | |||||||
\(42\) | 2.03868 | + | 4.25817i | 0.314575 | + | 0.657050i | ||||
\(43\) | − | 1.04125i | − | 0.158790i | −0.996843 | − | 0.0793948i | \(-0.974701\pi\) | ||
0.996843 | − | 0.0793948i | \(-0.0252988\pi\) | |||||||
\(44\) | 2.24098 | + | 7.72257i | 0.337841 | + | 1.16422i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.41664 | + | 0.343552i | −0.356315 | + | 0.0506539i | ||||
\(47\) | − | 7.55759i | − | 1.10239i | −0.834377 | − | 0.551194i | \(-0.814172\pi\) | ||
0.834377 | − | 0.551194i | \(-0.185828\pi\) | |||||||
\(48\) | −4.46663 | + | 5.29615i | −0.644702 | + | 0.764434i | ||||
\(49\) | −3.28530 | −0.469328 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 8.64180 | − | 2.72353i | 1.21009 | − | 0.381371i | ||||
\(52\) | −9.25184 | + | 2.68475i | −1.28300 | + | 0.372308i | ||||
\(53\) | − | 4.08251i | − | 0.560775i | −0.959887 | − | 0.280388i | \(-0.909537\pi\) | ||
0.959887 | − | 0.280388i | \(-0.0904630\pi\) | |||||||
\(54\) | −6.40014 | − | 3.61085i | −0.870948 | − | 0.491375i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.24098 | + | 4.96947i | 0.299464 | + | 0.664073i | ||||
\(57\) | −1.13118 | + | 0.356500i | −0.149828 | + | 0.0472196i | ||||
\(58\) | 1.39297 | + | 9.79857i | 0.182906 | + | 1.28662i | ||||
\(59\) | − | 0.994883i | − | 0.129523i | −0.997901 | − | 0.0647614i | \(-0.979371\pi\) | ||
0.997901 | − | 0.0647614i | \(-0.0206286\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.16761i | 0.405571i | 0.979223 | + | 0.202785i | \(0.0649994\pi\) | ||||
−0.979223 | + | 0.202785i | \(0.935001\pi\) | |||||||
\(62\) | 5.93151 | − | 0.843227i | 0.753302 | − | 0.107090i | ||||
\(63\) | −4.73724 | + | 3.31525i | −0.596836 | + | 0.417682i | ||||
\(64\) | −5.29615 | + | 5.99590i | −0.662019 | + | 0.749487i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −8.88278 | + | 4.25280i | −1.09339 | + | 0.523484i | ||||
\(67\) | − | 14.8728i | − | 1.81701i | −0.417878 | − | 0.908503i | \(-0.637226\pi\) | ||
0.417878 | − | 0.908503i | \(-0.362774\pi\) | |||||||
\(68\) | 10.0480 | − | 2.91579i | 1.21850 | − | 0.353592i | ||||
\(69\) | −0.898604 | − | 2.85128i | −0.108179 | − | 0.343254i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.28360 | 1.10176 | 0.550880 | − | 0.834584i | \(-0.314292\pi\) | ||||
0.550880 | + | 0.834584i | \(0.314292\pi\) | |||||||
\(72\) | −7.29294 | − | 4.33741i | −0.859481 | − | 0.511168i | ||||
\(73\) | − | 11.2836i | − | 1.32064i | −0.750982 | − | 0.660322i | \(-0.770420\pi\) | ||
0.750982 | − | 0.660322i | \(-0.229580\pi\) | |||||||
\(74\) | 1.95705 | + | 13.7664i | 0.227502 | + | 1.60031i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.31525 | + | 0.381666i | −0.150869 | + | 0.0437801i | ||||
\(77\) | 7.74908i | 0.883089i | ||||||||
\(78\) | −5.09497 | − | 10.6418i | −0.576891 | − | 1.20495i | ||||
\(79\) | 9.25184i | 1.04091i | 0.853888 | + | 0.520456i | \(0.174238\pi\) | ||||
−0.853888 | + | 0.520456i | \(0.825762\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.08251 | − | 8.45566i | 0.342501 | − | 0.939518i | ||||
\(82\) | 4.81675 | − | 0.684753i | 0.531921 | − | 0.0756183i | ||||
\(83\) | 7.15862 | 0.785760 | 0.392880 | − | 0.919590i | \(-0.371479\pi\) | ||||
0.392880 | + | 0.919590i | \(0.371479\pi\) | |||||||
\(84\) | −5.55623 | + | 3.70199i | −0.606234 | + | 0.403921i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.45790 | − | 0.207256i | 0.157209 | − | 0.0223489i | ||||
\(87\) | −11.5609 | + | 3.64350i | −1.23945 | + | 0.390624i | ||||
\(88\) | −10.3666 | + | 4.67481i | −1.10508 | + | 0.498337i | ||||
\(89\) | 0.829022i | 0.0878762i | 0.999034 | + | 0.0439381i | \(0.0139904\pi\) | ||||
−0.999034 | + | 0.0439381i | \(0.986010\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.28360 | −0.973185 | ||||||||
\(92\) | −0.962038 | − | 3.31525i | −0.100299 | − | 0.345638i | ||||
\(93\) | 2.20557 | + | 6.99830i | 0.228707 | + | 0.725690i | ||||
\(94\) | 10.5817 | − | 1.50430i | 1.09141 | − | 0.155156i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −8.30439 | − | 5.19972i | −0.847563 | − | 0.530694i | ||||
\(97\) | − | 1.45201i | − | 0.147429i | −0.997279 | − | 0.0737147i | \(-0.976515\pi\) | ||
0.997279 | − | 0.0737147i | \(-0.0234854\pi\) | |||||||
\(98\) | −0.653920 | − | 4.59986i | −0.0660559 | − | 0.464656i | ||||
\(99\) | −6.91579 | − | 9.88215i | −0.695063 | − | 0.993194i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −4.20279 | −0.418193 | −0.209097 | − | 0.977895i | \(-0.567052\pi\) | ||||
−0.209097 | + | 0.977895i | \(0.567052\pi\) | |||||||
\(102\) | 5.53342 | + | 11.5576i | 0.547890 | + | 1.14437i | ||||
\(103\) | −7.10183 | −0.699764 | −0.349882 | − | 0.936794i | \(-0.613778\pi\) | ||||
−0.349882 | + | 0.936794i | \(0.613778\pi\) | |||||||
\(104\) | −5.60054 | − | 12.4194i | −0.549179 | − | 1.21783i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.71606 | − | 0.812600i | 0.555193 | − | 0.0789267i | ||||
\(107\) | −7.76293 | −0.750471 | −0.375235 | − | 0.926930i | \(-0.622438\pi\) | ||||
−0.375235 | + | 0.926930i | \(0.622438\pi\) | |||||||
\(108\) | 3.78177 | − | 9.67978i | 0.363901 | − | 0.931437i | ||||
\(109\) | − | 20.5105i | − | 1.96455i | −0.187437 | − | 0.982277i | \(-0.560018\pi\) | ||
0.187437 | − | 0.982277i | \(-0.439982\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −16.2423 | + | 5.11891i | −1.54165 | + | 0.485865i | ||||
\(112\) | −6.51188 | + | 4.12682i | −0.615315 | + | 0.389948i | ||||
\(113\) | 0.215805 | 0.0203013 | 0.0101506 | − | 0.999948i | \(-0.496769\pi\) | ||||
0.0101506 | + | 0.999948i | \(0.496769\pi\) | |||||||
\(114\) | −0.724304 | − | 1.51285i | −0.0678373 | − | 0.141691i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −13.4421 | + | 3.90070i | −1.24806 | + | 0.362171i | ||||
\(117\) | 11.8391 | − | 8.28530i | 1.09452 | − | 0.765976i | ||||
\(118\) | 1.39297 | − | 0.198026i | 0.128233 | − | 0.0182298i | ||||
\(119\) | 10.0825 | 0.924262 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.16501 | −0.469547 | ||||||||
\(122\) | −4.43508 | + | 0.630495i | −0.401534 | + | 0.0570823i | ||||
\(123\) | 1.79106 | + | 5.68305i | 0.161494 | + | 0.512423i | ||||
\(124\) | 2.36127 | + | 8.13708i | 0.212048 | + | 0.730731i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −5.58472 | − | 5.97290i | −0.497526 | − | 0.532108i | ||||
\(127\) | −16.5763 | −1.47091 | −0.735455 | − | 0.677574i | \(-0.763032\pi\) | ||||
−0.735455 | + | 0.677574i | \(0.763032\pi\) | |||||||
\(128\) | −9.44924 | − | 6.22189i | −0.835203 | − | 0.549942i | ||||
\(129\) | 0.542104 | + | 1.72010i | 0.0477296 | + | 0.151446i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.61293i | 0.490404i | 0.969472 | + | 0.245202i | \(0.0788543\pi\) | ||||
−0.969472 | + | 0.245202i | \(0.921146\pi\) | |||||||
\(132\) | −7.72257 | − | 11.5906i | −0.672163 | − | 1.00883i | ||||
\(133\) | −1.31976 | −0.114438 | ||||||||
\(134\) | 20.8240 | − | 2.96035i | 1.79892 | − | 0.255736i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.08251 | + | 13.4882i | 0.521571 | + | 1.15660i | ||||
\(137\) | 9.41770 | 0.804608 | 0.402304 | − | 0.915506i | \(-0.368209\pi\) | ||||
0.402304 | + | 0.915506i | \(0.368209\pi\) | |||||||
\(138\) | 3.81332 | − | 1.82570i | 0.324611 | − | 0.155414i | ||||
\(139\) | 6.51634 | 0.552708 | 0.276354 | − | 0.961056i | \(-0.410874\pi\) | ||||
0.276354 | + | 0.961056i | \(0.410874\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.93468 | + | 12.4848i | 0.331360 | + | 1.05141i | ||||
\(142\) | 1.84785 | + | 12.9983i | 0.155068 | + | 1.09079i | ||||
\(143\) | − | 19.3661i | − | 1.61947i | ||||||
\(144\) | 4.62134 | − | 11.0744i | 0.385112 | − | 0.922870i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 15.7986 | − | 2.24594i | 1.30750 | − | 0.185875i | ||||
\(147\) | 5.42716 | − | 1.71041i | 0.447624 | − | 0.141072i | ||||
\(148\) | −18.8853 | + | 5.48026i | −1.55237 | + | 0.450475i | ||||
\(149\) | −7.53452 | −0.617252 | −0.308626 | − | 0.951184i | \(-0.599869\pi\) | ||||
−0.308626 | + | 0.951184i | \(0.599869\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.41085i | 0.765844i | 0.923781 | + | 0.382922i | \(0.125082\pi\) | ||||
−0.923781 | + | 0.382922i | \(0.874918\pi\) | |||||||
\(152\) | −0.796177 | − | 1.76556i | −0.0645785 | − | 0.143206i | ||||
\(153\) | −12.8579 | + | 8.99830i | −1.03950 | + | 0.727469i | ||||
\(154\) | −10.8498 | + | 1.54241i | −0.874299 | + | 0.124291i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 13.8858 | − | 9.25184i | 1.11176 | − | 0.740740i | ||||
\(157\) | 3.49699 | 0.279090 | 0.139545 | − | 0.990216i | \(-0.455436\pi\) | ||||
0.139545 | + | 0.990216i | \(0.455436\pi\) | |||||||
\(158\) | −12.9538 | + | 1.84153i | −1.03055 | + | 0.146504i | ||||
\(159\) | 2.12546 | + | 6.74411i | 0.168560 | + | 0.534842i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 3.32663i | − | 0.262175i | ||||||
\(162\) | 12.4526 | + | 2.63288i | 0.978371 | + | 0.206858i | ||||
\(163\) | − | 16.9553i | − | 1.32804i | −0.747713 | − | 0.664022i | \(-0.768848\pi\) | ||
0.747713 | − | 0.664022i | \(-0.231152\pi\) | |||||||
\(164\) | 1.91749 | + | 6.60781i | 0.149731 | + | 0.515983i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.42488 | + | 10.0230i | 0.110592 | + | 0.777939i | ||||
\(167\) | − | 11.3926i | − | 0.881584i | −0.897609 | − | 0.440792i | \(-0.854698\pi\) | ||
0.897609 | − | 0.440792i | \(-0.145302\pi\) | |||||||
\(168\) | −6.28923 | − | 7.04261i | −0.485225 | − | 0.543350i | ||||
\(169\) | 10.2011 | 0.784699 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.68305 | − | 1.17784i | 0.128706 | − | 0.0900720i | ||||
\(172\) | 0.580372 | + | 2.00000i | 0.0442529 | + | 0.152499i | ||||
\(173\) | 2.16501i | 0.164603i | 0.996607 | + | 0.0823014i | \(0.0262270\pi\) | ||||
−0.996607 | + | 0.0823014i | \(0.973773\pi\) | |||||||
\(174\) | −7.40252 | − | 15.4616i | −0.561184 | − | 1.17214i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −8.60878 | − | 13.5841i | −0.648912 | − | 1.02394i | ||||
\(177\) | 0.517962 | + | 1.64350i | 0.0389324 | + | 0.123533i | ||||
\(178\) | −1.16074 | + | 0.165012i | −0.0870014 | + | 0.0123682i | ||||
\(179\) | 5.34034i | 0.399155i | 0.979882 | + | 0.199578i | \(0.0639570\pi\) | ||||
−0.979882 | + | 0.199578i | \(0.936043\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 10.7942i | − | 0.802330i | −0.916006 | − | 0.401165i | \(-0.868605\pi\) | ||
0.916006 | − | 0.401165i | \(-0.131395\pi\) | |||||||
\(182\) | −1.84785 | − | 12.9983i | −0.136972 | − | 0.963498i | ||||
\(183\) | −1.64914 | − | 5.23274i | −0.121908 | − | 0.386815i | ||||
\(184\) | 4.45031 | − | 2.00687i | 0.328081 | − | 0.147948i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −9.35956 | + | 4.48107i | −0.686277 | + | 0.328568i | ||||
\(187\) | 21.0327i | 1.53806i | ||||||||
\(188\) | 4.21244 | + | 14.5163i | 0.307224 | + | 1.05871i | ||||
\(189\) | 6.09969 | − | 7.94297i | 0.443687 | − | 0.577766i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 19.7491 | 1.42899 | 0.714497 | − | 0.699639i | \(-0.246656\pi\) | ||||
0.714497 | + | 0.699639i | \(0.246656\pi\) | |||||||
\(192\) | 5.62737 | − | 12.6623i | 0.406121 | − | 0.913819i | ||||
\(193\) | − | 5.45201i | − | 0.392444i | −0.980559 | − | 0.196222i | \(-0.937133\pi\) | ||
0.980559 | − | 0.196222i | \(-0.0628674\pi\) | |||||||
\(194\) | 2.03301 | − | 0.289015i | 0.145962 | − | 0.0207500i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.31028 | − | 1.83115i | 0.450734 | − | 0.130797i | ||||
\(197\) | 22.6497i | 1.61372i | 0.590740 | + | 0.806862i | \(0.298836\pi\) | ||||
−0.590740 | + | 0.806862i | \(0.701164\pi\) | |||||||
\(198\) | 12.4598 | − | 11.6500i | 0.885480 | − | 0.827932i | ||||
\(199\) | 18.8853i | 1.33875i | 0.742926 | + | 0.669373i | \(0.233437\pi\) | ||||
−0.742926 | + | 0.669373i | \(0.766563\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 7.74319 | + | 24.5692i | 0.546163 | + | 1.73298i | ||||
\(202\) | −0.836542 | − | 5.88448i | −0.0588589 | − | 0.414031i | ||||
\(203\) | −13.4882 | −0.946687 | ||||||||
\(204\) | −15.0808 | + | 10.0480i | −1.05587 | + | 0.703502i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −1.41358 | − | 9.94353i | −0.0984887 | − | 0.692799i | ||||
\(207\) | 2.96890 | + | 4.24234i | 0.206353 | + | 0.294863i | ||||
\(208\) | 16.2742 | − | 10.3135i | 1.12841 | − | 0.715116i | ||||
\(209\) | − | 2.75310i | − | 0.190436i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.7673 | −0.741249 | −0.370624 | − | 0.928783i | \(-0.620856\pi\) | ||||
−0.370624 | + | 0.928783i | \(0.620856\pi\) | |||||||
\(212\) | 2.27550 | + | 7.84153i | 0.156282 | + | 0.538558i | ||||
\(213\) | −15.3361 | + | 4.83329i | −1.05081 | + | 0.331171i | ||||
\(214\) | −1.54517 | − | 10.8692i | −0.105625 | − | 0.743001i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 14.3058 | + | 3.36829i | 0.973383 | + | 0.229183i | ||||
\(217\) | 8.16501i | 0.554277i | ||||||||
\(218\) | 28.7175 | − | 4.08251i | 1.94500 | − | 0.276502i | ||||
\(219\) | 5.87454 | + | 18.6400i | 0.396965 | + | 1.25957i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −25.1977 | −1.69498 | ||||||||
\(222\) | −10.4001 | − | 21.7226i | −0.698010 | − | 1.45793i | ||||
\(223\) | 6.54540 | 0.438313 | 0.219156 | − | 0.975690i | \(-0.429670\pi\) | ||||
0.219156 | + | 0.975690i | \(0.429670\pi\) | |||||||
\(224\) | −7.07427 | − | 8.29610i | −0.472669 | − | 0.554306i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.0429548 | + | 0.302157i | 0.00285731 | + | 0.0200992i | ||||
\(227\) | 22.5118 | 1.49416 | 0.747080 | − | 0.664735i | \(-0.231455\pi\) | ||||
0.747080 | + | 0.664735i | \(0.231455\pi\) | |||||||
\(228\) | 1.97402 | − | 1.31525i | 0.130733 | − | 0.0871044i | ||||
\(229\) | 12.8839i | 0.851392i | 0.904866 | + | 0.425696i | \(0.139971\pi\) | ||||
−0.904866 | + | 0.425696i | \(0.860029\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.03438 | − | 12.8011i | −0.265442 | − | 0.842251i | ||||
\(232\) | −8.13708 | − | 18.0443i | −0.534225 | − | 1.18467i | ||||
\(233\) | 10.8510 | 0.710875 | 0.355437 | − | 0.934700i | \(-0.384332\pi\) | ||||
0.355437 | + | 0.934700i | \(0.384332\pi\) | |||||||
\(234\) | 13.9570 | + | 14.9272i | 0.912401 | + | 0.975820i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0.554526 | + | 1.91093i | 0.0360966 | + | 0.124391i | ||||
\(237\) | −4.81675 | − | 15.2836i | −0.312882 | − | 0.992776i | ||||
\(238\) | 2.00687 | + | 14.1169i | 0.130086 | + | 0.915062i | ||||
\(239\) | −6.63049 | −0.428891 | −0.214446 | − | 0.976736i | \(-0.568794\pi\) | ||||
−0.214446 | + | 0.976736i | \(0.568794\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −15.9519 | −1.02755 | −0.513775 | − | 0.857925i | \(-0.671753\pi\) | ||||
−0.513775 | + | 0.857925i | \(0.671753\pi\) | |||||||
\(242\) | −1.02807 | − | 7.23172i | −0.0660866 | − | 0.464873i | ||||
\(243\) | −0.689915 | + | 15.5732i | −0.0442580 | + | 0.999020i | ||||
\(244\) | −1.76556 | − | 6.08423i | −0.113028 | − | 0.389503i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −7.60054 | + | 3.63891i | −0.484593 | + | 0.232008i | ||||
\(247\) | 3.29828 | 0.209865 | ||||||||
\(248\) | −10.9230 | + | 4.92573i | −0.693613 | + | 0.312784i | ||||
\(249\) | −11.8257 | + | 3.72697i | −0.749423 | + | 0.236187i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 15.2464i | 0.962346i | 0.876626 | + | 0.481173i | \(0.159789\pi\) | ||||
−0.876626 | + | 0.481173i | \(0.840211\pi\) | |||||||
\(252\) | 7.25127 | − | 9.00824i | 0.456787 | − | 0.567466i | ||||
\(253\) | 6.93953 | 0.436285 | ||||||||
\(254\) | −3.29942 | − | 23.2091i | −0.207024 | − | 1.45627i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.83067 | − | 14.4687i | 0.426917 | − | 0.904291i | ||||
\(257\) | −16.1845 | −1.00956 | −0.504782 | − | 0.863247i | \(-0.668427\pi\) | ||||
−0.504782 | + | 0.863247i | \(0.668427\pi\) | |||||||
\(258\) | −2.30047 | + | 1.10140i | −0.143221 | + | 0.0685699i | ||||
\(259\) | −18.9502 | −1.17751 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 17.2011 | − | 12.0378i | 1.06472 | − | 0.745120i | ||||
\(262\) | −7.85886 | + | 1.11722i | −0.485522 | + | 0.0690222i | ||||
\(263\) | 21.4751i | 1.32421i | 0.749411 | + | 0.662105i | \(0.230337\pi\) | ||||
−0.749411 | + | 0.662105i | \(0.769663\pi\) | |||||||
\(264\) | 14.6913 | − | 13.1197i | 0.904186 | − | 0.807461i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.262691 | − | 1.84785i | −0.0161066 | − | 0.113299i | ||||
\(267\) | −0.431611 | − | 1.36951i | −0.0264142 | − | 0.0838124i | ||||
\(268\) | 8.28980 | + | 28.5672i | 0.506380 | + | 1.74502i | ||||
\(269\) | −23.0327 | −1.40433 | −0.702163 | − | 0.712016i | \(-0.747782\pi\) | ||||
−0.702163 | + | 0.712016i | \(0.747782\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 16.1914i | − | 0.983556i | −0.870721 | − | 0.491778i | \(-0.836347\pi\) | ||
0.870721 | − | 0.491778i | \(-0.163653\pi\) | |||||||
\(272\) | −17.6746 | + | 11.2011i | −1.07168 | + | 0.679166i | ||||
\(273\) | 15.3361 | − | 4.83329i | 0.928181 | − | 0.292524i | ||||
\(274\) | 1.87454 | + | 13.1861i | 0.113245 | + | 0.796599i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.31525 | + | 4.97577i | 0.199554 | + | 0.299506i | ||||
\(277\) | 3.81503 | 0.229223 | 0.114611 | − | 0.993410i | \(-0.463438\pi\) | ||||
0.114611 | + | 0.993410i | \(0.463438\pi\) | |||||||
\(278\) | 1.29704 | + | 9.12376i | 0.0777913 | + | 0.547207i | ||||
\(279\) | −7.28700 | − | 10.4126i | −0.436261 | − | 0.623385i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 27.9474i | 1.66720i | 0.552368 | + | 0.833600i | \(0.313724\pi\) | ||||
−0.552368 | + | 0.833600i | \(0.686276\pi\) | |||||||
\(282\) | −16.6972 | + | 7.99412i | −0.994305 | + | 0.476043i | ||||
\(283\) | 5.58924i | 0.332246i | 0.986105 | + | 0.166123i | \(0.0531249\pi\) | ||||
−0.986105 | + | 0.166123i | \(0.946875\pi\) | |||||||
\(284\) | −17.8316 | + | 5.17448i | −1.05811 | + | 0.307049i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 27.1152 | − | 3.85471i | 1.60335 | − | 0.227934i | ||||
\(287\) | 6.63049i | 0.391386i | ||||||||
\(288\) | 16.4256 | + | 4.26620i | 0.967886 | + | 0.251388i | ||||
\(289\) | 10.3661 | 0.609771 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.755956 | + | 2.39865i | 0.0443149 | + | 0.140612i | ||||
\(292\) | 6.28923 | + | 21.6731i | 0.368049 | + | 1.26832i | ||||
\(293\) | 6.00000i | 0.350524i | 0.984522 | + | 0.175262i | \(0.0560772\pi\) | ||||
−0.984522 | + | 0.175262i | \(0.943923\pi\) | |||||||
\(294\) | 3.47506 | + | 7.25831i | 0.202669 | + | 0.423313i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −11.4321 | − | 25.3512i | −0.664479 | − | 1.47351i | ||||
\(297\) | 16.5695 | + | 12.7243i | 0.961458 | + | 0.738339i | ||||
\(298\) | −1.49970 | − | 10.5494i | −0.0868755 | − | 0.611107i | ||||
\(299\) | 8.31374i | 0.480796i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.00687i | 0.115674i | ||||||||
\(302\) | −13.1765 | + | 1.87318i | −0.758221 | + | 0.107789i | ||||
\(303\) | 6.94281 | − | 2.18808i | 0.398854 | − | 0.125702i | ||||
\(304\) | 2.31355 | − | 1.46618i | 0.132691 | − | 0.0840912i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −15.1581 | − | 16.2117i | −0.866533 | − | 0.926764i | ||||
\(307\) | − | 4.79033i | − | 0.273399i | −0.990613 | − | 0.136699i | \(-0.956351\pi\) | ||
0.990613 | − | 0.136699i | \(-0.0436494\pi\) | |||||||
\(308\) | −4.31917 | − | 14.8841i | −0.246107 | − | 0.848103i | ||||
\(309\) | 11.7319 | − | 3.69740i | 0.667404 | − | 0.210338i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −12.8780 | −0.730245 | −0.365123 | − | 0.930959i | \(-0.618973\pi\) | ||||
−0.365123 | + | 0.930959i | \(0.618973\pi\) | |||||||
\(312\) | 15.7177 | + | 17.6005i | 0.889841 | + | 0.996435i | ||||
\(313\) | 20.4022i | 1.15320i | 0.817027 | + | 0.576600i | \(0.195621\pi\) | ||||
−0.817027 | + | 0.576600i | \(0.804379\pi\) | |||||||
\(314\) | 0.696056 | + | 4.89626i | 0.0392807 | + | 0.276312i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.15677 | − | 17.7706i | −0.290091 | − | 0.999673i | ||||
\(317\) | − | 5.34350i | − | 0.300121i | −0.988677 | − | 0.150060i | \(-0.952053\pi\) | ||
0.988677 | − | 0.150060i | \(-0.0479468\pi\) | |||||||
\(318\) | −9.01961 | + | 4.31831i | −0.505794 | + | 0.242159i | ||||
\(319\) | − | 28.1372i | − | 1.57538i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 12.8240 | − | 4.04159i | 0.715766 | − | 0.225579i | ||||
\(322\) | 4.65773 | − | 0.662146i | 0.259565 | − | 0.0369000i | ||||
\(323\) | −3.58212 | −0.199315 | ||||||||
\(324\) | −1.20776 | + | 17.9594i | −0.0670979 | + | 0.997746i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 23.7398 | − | 3.37486i | 1.31483 | − | 0.186916i | ||||
\(327\) | 10.6783 | + | 33.8824i | 0.590513 | + | 1.87370i | ||||
\(328\) | −8.87017 | + | 4.00000i | −0.489773 | + | 0.220863i | ||||
\(329\) | 14.5662i | 0.803059i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 25.1694 | 1.38344 | 0.691719 | − | 0.722167i | \(-0.256854\pi\) | ||||
0.691719 | + | 0.722167i | \(0.256854\pi\) | |||||||
\(332\) | −13.7500 | + | 3.99006i | −0.754630 | + | 0.218983i | ||||
\(333\) | 24.1665 | − | 16.9124i | 1.32432 | − | 0.926793i | ||||
\(334\) | 15.9512 | − | 2.26763i | 0.872809 | − | 0.124079i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 8.60878 | − | 10.2076i | 0.469648 | − | 0.556869i | ||||
\(337\) | − | 20.1616i | − | 1.09827i | −0.835733 | − | 0.549136i | \(-0.814957\pi\) | ||
0.835733 | − | 0.549136i | \(-0.185043\pi\) | |||||||
\(338\) | 2.03047 | + | 14.2829i | 0.110443 | + | 0.776888i | ||||
\(339\) | −0.356500 | + | 0.112354i | −0.0193624 | + | 0.00610223i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −17.0327 | −0.922371 | ||||||||
\(342\) | 1.98414 | + | 2.12206i | 0.107290 | + | 0.114748i | ||||
\(343\) | 19.8234 | 1.07036 | ||||||||
\(344\) | −2.68475 | + | 1.21069i | −0.144752 | + | 0.0652759i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.03131 | + | 0.430933i | −0.162964 | + | 0.0231671i | ||||
\(347\) | 9.41442 | 0.505392 | 0.252696 | − | 0.967546i | \(-0.418683\pi\) | ||||
0.252696 | + | 0.967546i | \(0.418683\pi\) | |||||||
\(348\) | 20.1749 | − | 13.4421i | 1.08149 | − | 0.720571i | ||||
\(349\) | 10.3968i | 0.556530i | 0.960504 | + | 0.278265i | \(0.0897593\pi\) | ||||
−0.960504 | + | 0.278265i | \(0.910241\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −15.2440 | + | 19.8507i | −0.813667 | + | 1.05955i | ||||
\(352\) | 17.3061 | − | 14.7573i | 0.922420 | − | 0.786568i | ||||
\(353\) | −20.4254 | −1.08713 | −0.543567 | − | 0.839366i | \(-0.682927\pi\) | ||||
−0.543567 | + | 0.839366i | \(0.682927\pi\) | |||||||
\(354\) | −2.19803 | + | 1.05235i | −0.116824 | + | 0.0559316i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −0.462079 | − | 1.59235i | −0.0244901 | − | 0.0843946i | ||||
\(357\) | −16.6558 | + | 5.24922i | −0.881520 | + | 0.277818i | ||||
\(358\) | −7.47720 | + | 1.06296i | −0.395182 | + | 0.0561794i | ||||
\(359\) | 6.87107 | 0.362641 | 0.181320 | − | 0.983424i | \(-0.441963\pi\) | ||||
0.181320 | + | 0.983424i | \(0.441963\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.5311 | −0.975322 | ||||||||
\(362\) | 15.1134 | − | 2.14853i | 0.794343 | − | 0.112924i | ||||
\(363\) | 8.53236 | − | 2.68904i | 0.447833 | − | 0.141138i | ||||
\(364\) | 17.8316 | − | 5.17448i | 0.934629 | − | 0.271216i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 6.99830 | − | 3.35057i | 0.365807 | − | 0.175137i | ||||
\(367\) | 15.8130 | 0.825431 | 0.412715 | − | 0.910860i | \(-0.364580\pi\) | ||||
0.412715 | + | 0.910860i | \(0.364580\pi\) | |||||||
\(368\) | 3.69569 | + | 5.83158i | 0.192651 | + | 0.303992i | ||||
\(369\) | −5.91749 | − | 8.45566i | −0.308052 | − | 0.440184i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 7.86844i | 0.408509i | ||||||||
\(372\) | −8.13708 | − | 12.2127i | −0.421888 | − | 0.633201i | ||||
\(373\) | 7.51072 | 0.388890 | 0.194445 | − | 0.980913i | \(-0.437709\pi\) | ||||
0.194445 | + | 0.980913i | \(0.437709\pi\) | |||||||
\(374\) | −29.4486 | + | 4.18643i | −1.52275 | + | 0.216475i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −19.4864 | + | 8.78738i | −1.00493 | + | 0.453175i | ||||
\(377\) | 33.7091 | 1.73610 | ||||||||
\(378\) | 12.3353 | + | 6.95940i | 0.634462 | + | 0.357953i | ||||
\(379\) | 13.1468 | 0.675307 | 0.337654 | − | 0.941270i | \(-0.390367\pi\) | ||||
0.337654 | + | 0.941270i | \(0.390367\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 27.3833 | − | 8.63007i | 1.40289 | − | 0.442132i | ||||
\(382\) | 3.93094 | + | 27.6514i | 0.201124 | + | 1.41477i | ||||
\(383\) | 23.0887i | 1.17978i | 0.807484 | + | 0.589889i | \(0.200828\pi\) | ||||
−0.807484 | + | 0.589889i | \(0.799172\pi\) | |||||||
\(384\) | 18.8490 | + | 5.35874i | 0.961883 | + | 0.273462i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 7.63356 | − | 1.08519i | 0.388538 | − | 0.0552348i | ||||
\(387\) | −1.79106 | − | 2.55929i | −0.0910447 | − | 0.130096i | ||||
\(388\) | 0.809320 | + | 2.78897i | 0.0410870 | + | 0.141588i | ||||
\(389\) | 12.9040 | 0.654260 | 0.327130 | − | 0.944979i | \(-0.393919\pi\) | ||||
0.327130 | + | 0.944979i | \(0.393919\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 9.02919i | − | 0.456626i | ||||||
\(392\) | 3.81989 | + | 8.47077i | 0.192934 | + | 0.427838i | ||||
\(393\) | −2.92224 | − | 9.27229i | −0.147407 | − | 0.467725i | ||||
\(394\) | −31.7127 | + | 4.50829i | −1.59766 | + | 0.227125i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 18.7917 | + | 15.1266i | 0.944318 | + | 0.760138i | ||||
\(397\) | −18.1459 | −0.910719 | −0.455359 | − | 0.890308i | \(-0.650489\pi\) | ||||
−0.455359 | + | 0.890308i | \(0.650489\pi\) | |||||||
\(398\) | −26.4420 | + | 3.75902i | −1.32542 | + | 0.188423i | ||||
\(399\) | 2.18019 | − | 0.687103i | 0.109146 | − | 0.0343982i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 33.7433i | − | 1.68506i | −0.538651 | − | 0.842529i | \(-0.681066\pi\) | ||
0.538651 | − | 0.842529i | \(-0.318934\pi\) | |||||||
\(402\) | −32.8590 | + | 15.7319i | −1.63886 | + | 0.784635i | ||||
\(403\) | − | 20.4056i | − | 1.01647i | ||||||
\(404\) | 8.07256 | − | 2.34254i | 0.401625 | − | 0.116546i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.68475 | − | 18.8853i | −0.133242 | − | 0.937264i | ||||
\(407\) | − | 39.5311i | − | 1.95948i | ||||||
\(408\) | −17.0703 | − | 19.1152i | −0.845108 | − | 0.946342i | ||||
\(409\) | −31.6480 | −1.56489 | −0.782446 | − | 0.622718i | \(-0.786028\pi\) | ||||
−0.782446 | + | 0.622718i | \(0.786028\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −15.5576 | + | 4.90310i | −0.767399 | + | 0.241852i | ||||
\(412\) | 13.6409 | − | 3.95841i | 0.672041 | − | 0.195017i | ||||
\(413\) | 1.91749i | 0.0943537i | ||||||||
\(414\) | −5.34891 | + | 5.00128i | −0.262885 | + | 0.245800i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 17.6796 | + | 20.7332i | 0.866816 | + | 1.01653i | ||||
\(417\) | −10.7647 | + | 3.39258i | −0.527149 | + | 0.166135i | ||||
\(418\) | 3.85471 | − | 0.547989i | 0.188540 | − | 0.0268030i | ||||
\(419\) | − | 29.8954i | − | 1.46049i | −0.683188 | − | 0.730243i | \(-0.739407\pi\) | ||
0.683188 | − | 0.730243i | \(-0.260593\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.86330i | 0.334497i | 0.985915 | + | 0.167248i | \(0.0534882\pi\) | ||||
−0.985915 | + | 0.167248i | \(0.946512\pi\) | |||||||
\(422\) | −2.14316 | − | 15.0756i | −0.104327 | − | 0.733870i | ||||
\(423\) | −12.9998 | − | 18.5758i | −0.632073 | − | 0.903185i | ||||
\(424\) | −10.5263 | + | 4.74682i | −0.511201 | + | 0.230526i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −9.81981 | − | 20.5105i | −0.475772 | − | 0.993739i | ||||
\(427\) | − | 6.10511i | − | 0.295447i | ||||||
\(428\) | 14.9108 | − | 4.32689i | 0.720738 | − | 0.209148i | ||||
\(429\) | 10.0825 | + | 31.9919i | 0.486788 | + | 1.54458i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 20.0226 | 0.964455 | 0.482228 | − | 0.876046i | \(-0.339828\pi\) | ||||
0.482228 | + | 0.876046i | \(0.339828\pi\) | |||||||
\(432\) | −1.86859 | + | 20.7004i | −0.0899026 | + | 0.995951i | ||||
\(433\) | − | 10.2112i | − | 0.490717i | −0.969432 | − | 0.245358i | \(-0.921094\pi\) | ||
0.969432 | − | 0.245358i | \(-0.0789057\pi\) | |||||||
\(434\) | −11.4321 | + | 1.62520i | −0.548760 | + | 0.0780121i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 11.4321 | + | 39.3959i | 0.547500 | + | 1.88672i | ||||
\(437\) | 1.18189i | 0.0565373i | ||||||||
\(438\) | −24.9292 | + | 11.9353i | −1.19116 | + | 0.570292i | ||||
\(439\) | − | 33.6933i | − | 1.60809i | −0.594566 | − | 0.804047i | \(-0.702676\pi\) | ||
0.594566 | − | 0.804047i | \(-0.297324\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −8.07492 | + | 5.65104i | −0.384520 | + | 0.269097i | ||||
\(442\) | −5.01546 | − | 35.2802i | −0.238561 | − | 1.67811i | ||||
\(443\) | 4.46465 | 0.212122 | 0.106061 | − | 0.994360i | \(-0.466176\pi\) | ||||
0.106061 | + | 0.994360i | \(0.466176\pi\) | |||||||
\(444\) | 28.3445 | − | 18.8853i | 1.34517 | − | 0.896258i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 1.30283 | + | 9.16445i | 0.0616906 | + | 0.433949i | ||||
\(447\) | 12.4467 | − | 3.92267i | 0.588707 | − | 0.185536i | ||||
\(448\) | 10.2076 | − | 11.5562i | 0.482263 | − | 0.545980i | ||||
\(449\) | − | 27.5500i | − | 1.30016i | −0.759865 | − | 0.650081i | \(-0.774735\pi\) | ||
0.759865 | − | 0.650081i | \(-0.225265\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −13.8316 | −0.651304 | ||||||||
\(452\) | −0.414511 | + | 0.120285i | −0.0194970 | + | 0.00565774i | ||||
\(453\) | −4.89954 | − | 15.5463i | −0.230200 | − | 0.730428i | ||||
\(454\) | 4.48084 | + | 31.5196i | 0.210296 | + | 1.47929i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 2.23444 | + | 2.50211i | 0.104637 | + | 0.117172i | ||||
\(457\) | − | 11.5016i | − | 0.538020i | −0.963137 | − | 0.269010i | \(-0.913303\pi\) | ||
0.963137 | − | 0.269010i | \(-0.0866965\pi\) | |||||||
\(458\) | −18.0392 | + | 2.56447i | −0.842917 | + | 0.119830i | ||||
\(459\) | 16.5559 | − | 21.5589i | 0.772763 | − | 1.00628i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 8.25929 | 0.384673 | 0.192337 | − | 0.981329i | \(-0.438393\pi\) | ||||
0.192337 | + | 0.981329i | \(0.438393\pi\) | |||||||
\(462\) | 17.1203 | − | 8.19666i | 0.796507 | − | 0.381343i | ||||
\(463\) | −11.7199 | −0.544669 | −0.272334 | − | 0.962203i | \(-0.587796\pi\) | ||||
−0.272334 | + | 0.962203i | \(0.587796\pi\) | |||||||
\(464\) | 23.6449 | − | 14.9846i | 1.09769 | − | 0.695644i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.15984 | + | 15.1929i | 0.100052 | + | 0.703799i | ||||
\(467\) | −17.1895 | −0.795437 | −0.397718 | − | 0.917508i | \(-0.630198\pi\) | ||||
−0.397718 | + | 0.917508i | \(0.630198\pi\) | |||||||
\(468\) | −18.1220 | + | 22.5129i | −0.837690 | + | 1.04066i | ||||
\(469\) | 28.6653i | 1.32364i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −5.77686 | + | 1.82062i | −0.266184 | + | 0.0838900i | ||||
\(472\) | −2.56519 | + | 1.15677i | −0.118073 | + | 0.0532448i | ||||
\(473\) | −4.18643 | −0.192492 | ||||||||
\(474\) | 20.4404 | − | 9.78622i | 0.938857 | − | 0.449496i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −19.3661 | + | 5.61977i | −0.887644 | + | 0.257582i | ||||
\(477\) | −7.02232 | − | 10.0344i | −0.321530 | − | 0.459442i | ||||
\(478\) | −1.31976 | − | 9.28360i | −0.0603645 | − | 0.424622i | ||||
\(479\) | −11.5379 | −0.527181 | −0.263591 | − | 0.964635i | \(-0.584907\pi\) | ||||
−0.263591 | + | 0.964635i | \(0.584907\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 47.3593 | 2.15940 | ||||||||
\(482\) | −3.17513 | − | 22.3348i | −0.144623 | − | 1.01732i | ||||
\(483\) | 1.73193 | + | 5.49543i | 0.0788056 | + | 0.250051i | ||||
\(484\) | 9.92076 | − | 2.87887i | 0.450944 | − | 0.130858i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −21.9419 | + | 2.13378i | −0.995305 | + | 0.0967902i | ||||
\(487\) | 33.1015 | 1.49997 | 0.749985 | − | 0.661455i | \(-0.230061\pi\) | ||||
0.749985 | + | 0.661455i | \(0.230061\pi\) | |||||||
\(488\) | 8.16732 | − | 3.68305i | 0.369717 | − | 0.166724i | ||||
\(489\) | 8.82740 | + | 28.0094i | 0.399189 | + | 1.26663i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 21.3635i | − | 0.964121i | −0.876138 | − | 0.482061i | \(-0.839888\pi\) | ||
0.876138 | − | 0.482061i | \(-0.160112\pi\) | |||||||
\(492\) | −6.60781 | − | 9.91749i | −0.297903 | − | 0.447115i | ||||
\(493\) | −36.6099 | −1.64883 | ||||||||
\(494\) | 0.656505 | + | 4.61805i | 0.0295375 | + | 0.207776i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.07086 | − | 14.3133i | −0.407294 | − | 0.642685i | ||||
\(497\) | −17.8928 | −0.802602 | ||||||||
\(498\) | −7.57210 | − | 15.8158i | −0.339314 | − | 0.708721i | ||||
\(499\) | −14.8464 | −0.664614 | −0.332307 | − | 0.943171i | \(-0.607827\pi\) | ||||
−0.332307 | + | 0.943171i | \(0.607827\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 5.93128 | + | 18.8200i | 0.264990 | + | 0.840816i | ||||
\(502\) | −21.3471 | + | 3.03472i | −0.952767 | + | 0.135446i | ||||
\(503\) | 1.86841i | 0.0833084i | 0.999132 | + | 0.0416542i | \(0.0132628\pi\) | ||||
−0.999132 | + | 0.0416542i | \(0.986737\pi\) | |||||||
\(504\) | 14.0561 | + | 8.35973i | 0.626108 | + | 0.372372i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 1.38127 | + | 9.71629i | 0.0614051 | + | 0.431942i | ||||
\(507\) | −16.8517 | + | 5.31096i | −0.748411 | + | 0.235868i | ||||
\(508\) | 31.8392 | − | 9.23928i | 1.41263 | − | 0.409927i | ||||
\(509\) | −1.62879 | −0.0721950 | −0.0360975 | − | 0.999348i | \(-0.511493\pi\) | ||||
−0.0360975 | + | 0.999348i | \(0.511493\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 21.7475i | 0.962053i | ||||||||
\(512\) | 21.6177 | + | 6.68396i | 0.955376 | + | 0.295392i | ||||
\(513\) | −2.16710 | + | 2.82198i | −0.0956800 | + | 0.124594i | ||||
\(514\) | −3.22144 | − | 22.6605i | −0.142092 | − | 0.999514i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −2.00000 | − | 3.00175i | −0.0880451 | − | 0.132145i | ||||
\(517\) | −30.3858 | −1.33637 | ||||||||
\(518\) | −3.77192 | − | 26.5328i | −0.165729 | − | 1.16578i | ||||
\(519\) | −1.12716 | − | 3.57650i | −0.0494770 | − | 0.156991i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 7.82768i | 0.342937i | 0.985190 | + | 0.171469i | \(0.0548512\pi\) | ||||
−0.985190 | + | 0.171469i | \(0.945149\pi\) | |||||||
\(522\) | 20.2783 | + | 21.6878i | 0.887557 | + | 0.949250i | ||||
\(523\) | 32.2423i | 1.40986i | 0.709277 | + | 0.704930i | \(0.249021\pi\) | ||||
−0.709277 | + | 0.704930i | \(0.750979\pi\) | |||||||
\(524\) | −3.12852 | − | 10.7811i | −0.136670 | − | 0.470975i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −30.0680 | + | 4.27449i | −1.31103 | + | 0.186377i | ||||
\(527\) | 22.1616i | 0.965375i | ||||||||
\(528\) | 21.2936 | + | 17.9584i | 0.926684 | + | 0.781539i | ||||
\(529\) | 20.0209 | 0.870474 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.71130 | − | 2.44532i | −0.0742640 | − | 0.106118i | ||||
\(532\) | 2.53495 | − | 0.735607i | 0.109904 | − | 0.0318926i | ||||
\(533\) | − | 16.5706i | − | 0.717752i | ||||||
\(534\) | 1.83158 | − | 0.876906i | 0.0792604 | − | 0.0379474i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −38.3479 | + | 17.2930i | −1.65638 | + | 0.746943i | ||||
\(537\) | −2.78032 | − | 8.82198i | −0.119980 | − | 0.380697i | ||||
\(538\) | −4.58452 | − | 32.2489i | −0.197653 | − | 1.39035i | ||||
\(539\) | 13.2088i | 0.568942i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 3.25040i | − | 0.139746i | −0.997556 | − | 0.0698728i | \(-0.977741\pi\) | ||
0.997556 | − | 0.0698728i | \(-0.0222593\pi\) | |||||||
\(542\) | 22.6701 | − | 3.22280i | 0.973765 | − | 0.138431i | ||||
\(543\) | 5.61977 | + | 17.8316i | 0.241167 | + | 0.765227i | ||||
\(544\) | −19.2011 | − | 22.5174i | −0.823240 | − | 0.965426i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 9.81981 | + | 20.5105i | 0.420249 | + | 0.877770i | ||||
\(547\) | 10.3248i | 0.441459i | 0.975335 | + | 0.220729i | \(0.0708437\pi\) | ||||
−0.975335 | + | 0.220729i | \(0.929156\pi\) | |||||||
\(548\) | −18.0892 | + | 5.24922i | −0.772731 | + | 0.224236i | ||||
\(549\) | 5.44861 | + | 7.78565i | 0.232541 | + | 0.332284i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.79210 | 0.204150 | ||||||||
\(552\) | −6.30687 | + | 5.63220i | −0.268438 | + | 0.239722i | ||||
\(553\) | − | 17.8316i | − | 0.758276i | ||||||
\(554\) | 0.759359 | + | 5.34156i | 0.0322621 | + | 0.226941i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −12.5163 | + | 3.63207i | −0.530811 | + | 0.154034i | ||||
\(557\) | 8.33343i | 0.353099i | 0.984292 | + | 0.176549i | \(0.0564935\pi\) | ||||
−0.984292 | + | 0.176549i | \(0.943506\pi\) | |||||||
\(558\) | 13.1286 | − | 12.2754i | 0.555778 | − | 0.519657i | ||||
\(559\) | − | 5.01546i | − | 0.212131i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −10.9502 | − | 34.7450i | −0.462316 | − | 1.46693i | ||||
\(562\) | −39.1301 | + | 5.56277i | −1.65060 | + | 0.234651i | ||||
\(563\) | 14.0982 | 0.594166 | 0.297083 | − | 0.954852i | \(-0.403986\pi\) | ||||
0.297083 | + | 0.954852i | \(0.403986\pi\) | |||||||
\(564\) | −14.5163 | − | 21.7872i | −0.611248 | − | 0.917406i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −7.82570 | + | 1.11251i | −0.328939 | + | 0.0467622i | ||||
\(567\) | −5.94109 | + | 16.2971i | −0.249502 | + | 0.684412i | ||||
\(568\) | −10.7942 | − | 23.9367i | −0.452916 | − | 1.00436i | ||||
\(569\) | 9.37801i | 0.393147i | 0.980489 | + | 0.196573i | \(0.0629814\pi\) | ||||
−0.980489 | + | 0.196573i | \(0.937019\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.1967 | 0.426717 | 0.213359 | − | 0.976974i | \(-0.431560\pi\) | ||||
0.213359 | + | 0.976974i | \(0.431560\pi\) | |||||||
\(572\) | 10.7942 | + | 37.1977i | 0.451330 | + | 1.55531i | ||||
\(573\) | −32.6245 | + | 10.2819i | −1.36291 | + | 0.429532i | ||||
\(574\) | −9.28360 | + | 1.31976i | −0.387490 | + | 0.0550858i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −2.70385 | + | 23.8472i | −0.112660 | + | 0.993634i | ||||
\(577\) | 14.9762i | 0.623466i | 0.950170 | + | 0.311733i | \(0.100910\pi\) | ||||
−0.950170 | + | 0.311733i | \(0.899090\pi\) | |||||||
\(578\) | 2.06331 | + | 14.5140i | 0.0858225 | + | 0.603701i | ||||
\(579\) | 2.83846 | + | 9.00647i | 0.117962 | + | 0.374296i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −13.7972 | −0.572405 | ||||||||
\(582\) | −3.20797 | + | 1.53588i | −0.132975 | + | 0.0636642i | ||||
\(583\) | −16.4140 | −0.679799 | ||||||||
\(584\) | −29.0935 | + | 13.1197i | −1.20390 | + | 0.542897i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.40082 | + | 1.19427i | −0.347035 | + | 0.0493347i | ||||
\(587\) | −35.1368 | −1.45025 | −0.725125 | − | 0.688617i | \(-0.758218\pi\) | ||||
−0.725125 | + | 0.688617i | \(0.758218\pi\) | |||||||
\(588\) | −9.47093 | + | 6.31028i | −0.390575 | + | 0.260231i | ||||
\(589\) | − | 2.90087i | − | 0.119528i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −11.7920 | − | 37.4162i | −0.485059 | − | 1.53910i | ||||
\(592\) | 33.2197 | − | 21.0526i | 1.36532 | − | 0.865255i | ||||
\(593\) | 11.6209 | 0.477214 | 0.238607 | − | 0.971116i | \(-0.423309\pi\) | ||||
0.238607 | + | 0.971116i | \(0.423309\pi\) | |||||||
\(594\) | −14.5177 | + | 25.7322i | −0.595668 | + | 1.05581i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 14.4720 | − | 4.19958i | 0.592797 | − | 0.172021i | ||||
\(597\) | −9.83221 | − | 31.1977i | −0.402405 | − | 1.27684i | ||||
\(598\) | −11.6404 | + | 1.65480i | −0.476010 | + | 0.0676699i | ||||
\(599\) | 9.69953 | 0.396312 | 0.198156 | − | 0.980170i | \(-0.436505\pi\) | ||||
0.198156 | + | 0.980170i | \(0.436505\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.585768 | 0.0238940 | 0.0119470 | − | 0.999929i | \(-0.496197\pi\) | ||||
0.0119470 | + | 0.999929i | \(0.496197\pi\) | |||||||
\(602\) | −2.80989 | + | 0.399455i | −0.114522 | + | 0.0162806i | ||||
\(603\) | −25.5828 | − | 36.5559i | −1.04181 | − | 1.48867i | ||||
\(604\) | −5.24541 | − | 18.0760i | −0.213433 | − | 0.735503i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 4.44554 | + | 9.28536i | 0.180588 | + | 0.377192i | ||||
\(607\) | 22.9594 | 0.931894 | 0.465947 | − | 0.884813i | \(-0.345714\pi\) | ||||
0.465947 | + | 0.884813i | \(0.345714\pi\) | |||||||
\(608\) | 2.51335 | + | 2.94744i | 0.101930 | + | 0.119535i | ||||
\(609\) | 22.2819 | − | 7.02232i | 0.902908 | − | 0.284559i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 36.4030i | − | 1.47271i | ||||||
\(612\) | 19.6815 | − | 24.4503i | 0.795578 | − | 0.988345i | ||||
\(613\) | −4.10130 | −0.165650 | −0.0828250 | − | 0.996564i | \(-0.526394\pi\) | ||||
−0.0828250 | + | 0.996564i | \(0.526394\pi\) | |||||||
\(614\) | 6.70712 | − | 0.953488i | 0.270677 | − | 0.0384797i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 19.9801 | − | 9.01003i | 0.805022 | − | 0.363024i | ||||
\(617\) | −14.1493 | −0.569630 | −0.284815 | − | 0.958583i | \(-0.591932\pi\) | ||||
−0.284815 | + | 0.958583i | \(0.591932\pi\) | |||||||
\(618\) | 7.51203 | + | 15.6903i | 0.302178 | + | 0.631156i | ||||
\(619\) | 10.1108 | 0.406386 | 0.203193 | − | 0.979139i | \(-0.434868\pi\) | ||||
0.203193 | + | 0.979139i | \(0.434868\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −7.11317 | − | 5.46246i | −0.285441 | − | 0.219201i | ||||
\(622\) | −2.56330 | − | 18.0310i | −0.102779 | − | 0.722976i | ||||
\(623\) | − | 1.59782i | − | 0.0640153i | ||||||
\(624\) | −21.5146 | + | 25.5102i | −0.861275 | + | 1.02123i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −28.5658 | + | 4.06094i | −1.14172 | + | 0.162308i | ||||
\(627\) | 1.43334 | + | 4.54799i | 0.0572419 | + | 0.181629i | ||||
\(628\) | −6.71689 | + | 1.94915i | −0.268033 | + | 0.0777794i | ||||
\(629\) | −51.4349 | −2.05084 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 28.7572i | 1.14481i | 0.819972 | + | 0.572404i | \(0.193989\pi\) | ||||
−0.819972 | + | 0.572404i | \(0.806011\pi\) | |||||||
\(632\) | 23.8548 | − | 10.7573i | 0.948893 | − | 0.427903i | ||||
\(633\) | 17.7870 | − | 5.60572i | 0.706970 | − | 0.222807i | ||||
\(634\) | 7.48162 | − | 1.06359i | 0.297133 | − | 0.0422407i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −7.84153 | − | 11.7691i | −0.310937 | − | 0.466677i | ||||
\(637\) | −15.8245 | −0.626988 | ||||||||
\(638\) | 39.3959 | − | 5.60054i | 1.55970 | − | 0.221728i | ||||
\(639\) | 22.8181 | − | 15.9687i | 0.902671 | − | 0.631713i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | − | 35.7751i | − | 1.41303i | −0.707698 | − | 0.706515i | \(-0.750266\pi\) | ||
0.707698 | − | 0.706515i | \(-0.249734\pi\) | |||||||
\(642\) | 8.21132 | + | 17.1509i | 0.324075 | + | 0.676892i | ||||
\(643\) | 4.64793i | 0.183296i | 0.995791 | + | 0.0916481i | \(0.0292135\pi\) | ||||
−0.995791 | + | 0.0916481i | \(0.970786\pi\) | |||||||
\(644\) | 1.85419 | + | 6.38966i | 0.0730653 | + | 0.251788i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.713001 | − | 5.01546i | −0.0280526 | − | 0.197330i | ||||
\(647\) | 6.90109i | 0.271310i | 0.990756 | + | 0.135655i | \(0.0433138\pi\) | ||||
−0.990756 | + | 0.135655i | \(0.956686\pi\) | |||||||
\(648\) | −25.3861 | + | 1.88369i | −0.997258 | + | 0.0739984i | ||||
\(649\) | −4.00000 | −0.157014 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4.25092 | − | 13.4882i | −0.166607 | − | 0.528645i | ||||
\(652\) | 9.45054 | + | 32.5672i | 0.370112 | + | 1.27543i | ||||
\(653\) | − | 16.8181i | − | 0.658144i | −0.944305 | − | 0.329072i | \(-0.893264\pi\) | ||
0.944305 | − | 0.329072i | \(-0.106736\pi\) | |||||||
\(654\) | −45.3146 | + | 21.6952i | −1.77194 | + | 0.848350i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −7.36610 | − | 11.6233i | −0.287598 | − | 0.453812i | ||||
\(657\) | −19.4089 | − | 27.7339i | −0.757214 | − | 1.08200i | ||||
\(658\) | −20.3946 | + | 2.89931i | −0.795065 | + | 0.113027i | ||||
\(659\) | 15.3712i | 0.598779i | 0.954131 | + | 0.299389i | \(0.0967830\pi\) | ||||
−0.954131 | + | 0.299389i | \(0.903217\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.7252i | 0.572743i | 0.958119 | + | 0.286372i | \(0.0924492\pi\) | ||||
−0.958119 | + | 0.286372i | \(0.907551\pi\) | |||||||
\(662\) | 5.00983 | + | 35.2406i | 0.194713 | + | 1.36967i | ||||
\(663\) | 41.6254 | − | 13.1186i | 1.61660 | − | 0.509484i | ||||
\(664\) | −8.32349 | − | 18.4577i | −0.323014 | − | 0.716297i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 28.4899 | + | 30.4701i | 1.10396 | + | 1.18069i | ||||
\(667\) | 12.0791i | 0.467705i | ||||||||
\(668\) | 6.34998 | + | 21.8824i | 0.245688 | + | 0.846657i | ||||
\(669\) | −10.8127 | + | 3.40771i | −0.418043 | + | 0.131750i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 12.7356 | 0.491653 | ||||||||
\(672\) | 16.0055 | + | 10.0217i | 0.617426 | + | 0.386596i | ||||
\(673\) | 44.9434i | 1.73244i | 0.499663 | + | 0.866220i | \(0.333457\pi\) | ||||
−0.499663 | + | 0.866220i | \(0.666543\pi\) | |||||||
\(674\) | 28.2290 | − | 4.01305i | 1.08734 | − | 0.154577i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −19.5939 | + | 5.68587i | −0.753610 | + | 0.218687i | ||||
\(677\) | − | 31.3401i | − | 1.20450i | −0.798308 | − | 0.602249i | \(-0.794272\pi\) | ||
0.798308 | − | 0.602249i | \(-0.205728\pi\) | |||||||
\(678\) | −0.228270 | − | 0.476786i | −0.00876667 | − | 0.0183108i | ||||
\(679\) | 2.79854i | 0.107398i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −37.1884 | + | 11.7202i | −1.42506 | + | 0.449120i | ||||
\(682\) | −3.39026 | − | 23.8481i | −0.129820 | − | 0.913190i | ||||
\(683\) | 6.76121 | 0.258710 | 0.129355 | − | 0.991598i | \(-0.458709\pi\) | ||||
0.129355 | + | 0.991598i | \(0.458709\pi\) | |||||||
\(684\) | −2.57624 | + | 3.20045i | −0.0985049 | + | 0.122372i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 3.94574 | + | 27.7555i | 0.150649 | + | 1.05971i | ||||
\(687\) | −6.70770 | − | 21.2836i | −0.255915 | − | 0.812020i | ||||
\(688\) | −2.22951 | − | 3.51804i | −0.0849994 | − | 0.134124i | ||||
\(689\) | − | 19.6644i | − | 0.749155i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 14.4304 | 0.548959 | 0.274480 | − | 0.961593i | \(-0.411494\pi\) | ||||
0.274480 | + | 0.961593i | \(0.411494\pi\) | |||||||
\(692\) | −1.20673 | − | 4.15847i | −0.0458730 | − | 0.158081i | ||||
\(693\) | 13.3292 | + | 19.0464i | 0.506334 | + | 0.723514i | ||||
\(694\) | 1.87389 | + | 13.1815i | 0.0711317 | + | 0.500362i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 22.8364 | + | 25.5720i | 0.865612 | + | 0.969303i | ||||
\(697\) | 17.9966i | 0.681670i | ||||||||
\(698\) | −14.5570 | + | 2.06943i | −0.550990 | + | 0.0783291i | ||||
\(699\) | −17.9254 | + | 5.64934i | −0.678001 | + | 0.213677i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −9.83499 | −0.371462 | −0.185731 | − | 0.982601i | \(-0.559465\pi\) | ||||
−0.185731 | + | 0.982601i | \(0.559465\pi\) | |||||||
\(702\) | −30.8279 | − | 17.3926i | −1.16352 | − | 0.656441i | ||||
\(703\) | 6.73263 | 0.253926 | ||||||||
\(704\) | 24.1069 | + | 21.2936i | 0.908565 | + | 0.802532i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.06556 | − | 28.5983i | −0.153009 | − | 1.07631i | ||||
\(707\) | 8.10028 | 0.304642 | ||||||||
\(708\) | −1.91093 | − | 2.86807i | −0.0718173 | − | 0.107789i | ||||
\(709\) | − | 20.4277i | − | 0.767180i | −0.923503 | − | 0.383590i | \(-0.874688\pi\) | ||
0.923503 | − | 0.383590i | \(-0.125312\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 15.9141 | + | 22.7401i | 0.596825 | + | 0.852819i | ||||
\(712\) | 2.13754 | − | 0.963923i | 0.0801077 | − | 0.0361245i | ||||
\(713\) | 7.31201 | 0.273837 | ||||||||
\(714\) | −10.6649 | − | 22.2756i | −0.399123 | − | 0.833643i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −2.97659 | − | 10.2575i | −0.111240 | − | 0.383341i | ||||
\(717\) | 10.9533 | − | 3.45201i | 0.409057 | − | 0.128918i | ||||
\(718\) | 1.36765 | + | 9.62043i | 0.0510401 | + | 0.359031i | ||||
\(719\) | 28.2338 | 1.05294 | 0.526471 | − | 0.850193i | \(-0.323515\pi\) | ||||
0.526471 | + | 0.850193i | \(0.323515\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.6878 | 0.509759 | ||||||||
\(722\) | −3.68851 | − | 25.9461i | −0.137272 | − | 0.965613i | ||||
\(723\) | 26.3517 | − | 8.30497i | 0.980032 | − | 0.308865i | ||||
\(724\) | 6.01648 | + | 20.7332i | 0.223601 | + | 0.770543i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 5.46334 | + | 11.4112i | 0.202764 | + | 0.423510i | ||||
\(727\) | −28.1339 | −1.04343 | −0.521714 | − | 0.853120i | \(-0.674707\pi\) | ||||
−0.521714 | + | 0.853120i | \(0.674707\pi\) | |||||||
\(728\) | 10.7942 | + | 23.9367i | 0.400061 | + | 0.887153i | ||||
\(729\) | −6.96811 | − | 26.0854i | −0.258078 | − | 0.966124i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.44707i | 0.201467i | ||||||||
\(732\) | 6.08423 | + | 9.13166i | 0.224879 | + | 0.337516i | ||||
\(733\) | −10.2296 | −0.377840 | −0.188920 | − | 0.981993i | \(-0.560499\pi\) | ||||
−0.188920 | + | 0.981993i | \(0.560499\pi\) | |||||||
\(734\) | 3.14748 | + | 22.1403i | 0.116176 | + | 0.817214i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.42941 | + | 6.33522i | −0.273852 | + | 0.233519i | ||||
\(737\) | −59.7973 | −2.20266 | ||||||||
\(738\) | 10.6612 | − | 9.96835i | 0.392445 | − | 0.366940i | ||||
\(739\) | 48.0440 | 1.76733 | 0.883664 | − | 0.468121i | \(-0.155069\pi\) | ||||
0.883664 | + | 0.468121i | \(0.155069\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −5.44861 | + | 1.71717i | −0.200160 | + | 0.0630819i | ||||
\(742\) | −11.0169 | + | 1.56617i | −0.404443 | + | 0.0574959i | ||||
\(743\) | − | 35.9667i | − | 1.31949i | −0.751489 | − | 0.659745i | \(-0.770664\pi\) | ||
0.751489 | − | 0.659745i | \(-0.229336\pi\) | |||||||
\(744\) | 15.4798 | − | 13.8239i | 0.567519 | − | 0.506809i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 1.49497 | + | 10.5160i | 0.0547346 | + | 0.385019i | ||||
\(747\) | 17.5951 | − | 12.3135i | 0.643772 | − | 0.450529i | ||||
\(748\) | −11.7232 | − | 40.3988i | −0.428641 | − | 1.47713i | ||||
\(749\) | 14.9619 | 0.546697 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 26.4357i | 0.964654i | 0.875991 | + | 0.482327i | \(0.160208\pi\) | ||||
−0.875991 | + | 0.482327i | \(0.839792\pi\) | |||||||
\(752\) | −16.1822 | − | 25.5345i | −0.590104 | − | 0.931148i | ||||
\(753\) | −7.93770 | − | 25.1864i | −0.289266 | − | 0.917843i | ||||
\(754\) | 6.70960 | + | 47.1973i | 0.244349 | + | 1.71882i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −7.28883 | + | 18.6564i | −0.265092 | + | 0.678526i | ||||
\(757\) | −24.6881 | −0.897303 | −0.448652 | − | 0.893707i | \(-0.648096\pi\) | ||||
−0.448652 | + | 0.893707i | \(0.648096\pi\) | |||||||
\(758\) | 2.61680 | + | 18.4074i | 0.0950465 | + | 0.668585i | ||||
\(759\) | −11.4638 | + | 3.61290i | −0.416109 | + | 0.131140i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 46.5273i | 1.68661i | 0.537434 | + | 0.843306i | \(0.319394\pi\) | ||||
−0.537434 | + | 0.843306i | \(0.680606\pi\) | |||||||
\(762\) | 17.5338 | + | 36.6226i | 0.635181 | + | 1.32670i | ||||
\(763\) | 39.5311i | 1.43112i | ||||||||
\(764\) | −37.9333 | + | 11.0077i | −1.37238 | + | 0.398245i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −32.3273 | + | 4.59568i | −1.16803 | + | 0.166049i | ||||
\(767\) | − | 4.79210i | − | 0.173033i | ||||||
\(768\) | −3.75118 | + | 27.4578i | −0.135359 | + | 0.990797i | ||||
\(769\) | −36.8643 | −1.32936 | −0.664680 | − | 0.747129i | \(-0.731432\pi\) | ||||
−0.664680 | + | 0.747129i | \(0.731432\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 26.7361 | − | 8.42609i | 0.962876 | − | 0.303458i | ||||
\(772\) | 3.03883 | + | 10.4720i | 0.109370 | + | 0.376896i | ||||
\(773\) | 41.5537i | 1.49458i | 0.664496 | + | 0.747292i | \(0.268646\pi\) | ||||
−0.664496 | + | 0.747292i | \(0.731354\pi\) | |||||||
\(774\) | 3.22686 | − | 3.01714i | 0.115987 | − | 0.108449i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −3.74385 | + | 1.68829i | −0.134396 | + | 0.0606059i | ||||
\(777\) | 31.3048 | − | 9.86596i | 1.12305 | − | 0.353939i | ||||
\(778\) | 2.56847 | + | 18.0674i | 0.0920842 | + | 0.647747i | ||||
\(779\) | − | 2.35569i | − | 0.0844013i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 37.3254i | − | 1.33561i | ||||||
\(782\) | 12.6421 | − | 1.79721i | 0.452080 | − | 0.0642681i | ||||
\(783\) | −22.1482 | + | 28.8412i | −0.791512 | + | 1.03070i | ||||
\(784\) | −11.0999 | + | 7.03442i | −0.396425 | + | 0.251229i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 12.4008 | − | 5.93713i | 0.442322 | − | 0.211770i | ||||
\(787\) | − | 48.4300i | − | 1.72634i | −0.504912 | − | 0.863171i | \(-0.668475\pi\) | ||
0.504912 | − | 0.863171i | \(-0.331525\pi\) | |||||||
\(788\) | −12.6245 | − | 43.5047i | −0.449727 | − | 1.54979i | ||||
\(789\) | −11.1805 | − | 35.4758i | −0.398036 | − | 1.26297i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.415934 | −0.0147889 | ||||||||
\(792\) | −17.4389 | + | 29.3218i | −0.619663 | + | 1.04190i | ||||
\(793\) | 15.2576i | 0.541813i | ||||||||
\(794\) | −3.61185 | − | 25.4068i | −0.128180 | − | 0.901653i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −10.5263 | − | 36.2743i | −0.373094 | − | 1.28571i | ||||
\(797\) | 32.0757i | 1.13618i | 0.822967 | + | 0.568090i | \(0.192317\pi\) | ||||
−0.822967 | + | 0.568090i | \(0.807683\pi\) | |||||||
\(798\) | 1.39599 | + | 2.91579i | 0.0494176 | + | 0.103218i | ||||
\(799\) | 39.5357i | 1.39867i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.42600 | + | 2.03765i | 0.0503853 | + | 0.0719968i | ||||
\(802\) | 47.2452 | − | 6.71640i | 1.66828 | − | 0.237164i | ||||
\(803\) | −45.3665 | −1.60095 | ||||||||
\(804\) | −28.5672 | − | 42.8758i | −1.00749 | − | 1.51211i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 28.5706 | − | 4.06162i | 1.00636 | − | 0.143064i | ||||
\(807\) | 38.0489 | − | 11.9914i | 1.33938 | − | 0.422118i | ||||
\(808\) | 4.88668 | + | 10.8364i | 0.171913 | + | 0.381224i | ||||
\(809\) | − | 1.09505i | − | 0.0385001i | −0.999815 | − | 0.0192500i | \(-0.993872\pi\) | ||
0.999815 | − | 0.0192500i | \(-0.00612785\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 3.56617 | 0.125225 | 0.0626126 | − | 0.998038i | \(-0.480057\pi\) | ||||
0.0626126 | + | 0.998038i | \(0.480057\pi\) | |||||||
\(812\) | 25.9077 | − | 7.51804i | 0.909181 | − | 0.263831i | ||||
\(813\) | 8.42966 | + | 26.7474i | 0.295641 | + | 0.938071i | ||||
\(814\) | 55.3489 | − | 7.86844i | 1.93998 | − | 0.275789i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 23.3661 | − | 27.7056i | 0.817977 | − | 0.969889i | ||||
\(817\) | − | 0.713001i | − | 0.0249447i | ||||||
\(818\) | −6.29935 | − | 44.3115i | −0.220252 | − | 1.54932i | ||||
\(819\) | −22.8181 | + | 15.9687i | −0.797329 | + | 0.557992i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 47.0327 | 1.64145 | 0.820726 | − | 0.571322i | \(-0.193569\pi\) | ||||
0.820726 | + | 0.571322i | \(0.193569\pi\) | |||||||
\(822\) | −9.96166 | − | 20.8068i | −0.347453 | − | 0.725721i | ||||
\(823\) | 30.2235 | 1.05353 | 0.526763 | − | 0.850012i | \(-0.323405\pi\) | ||||
0.526763 | + | 0.850012i | \(0.323405\pi\) | |||||||
\(824\) | 8.25746 | + | 18.3113i | 0.287662 | + | 0.637903i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.68475 | + | 0.381666i | −0.0934145 | + | 0.0132799i | ||||
\(827\) | 31.2229 | 1.08573 | 0.542864 | − | 0.839821i | \(-0.317340\pi\) | ||||
0.542864 | + | 0.839821i | \(0.317340\pi\) | |||||||
\(828\) | −8.06715 | − | 6.49373i | −0.280353 | − | 0.225673i | ||||
\(829\) | 42.0990i | 1.46216i | 0.682292 | + | 0.731080i | \(0.260983\pi\) | ||||
−0.682292 | + | 0.731080i | \(0.739017\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −6.30224 | + | 1.98620i | −0.218622 | + | 0.0689006i | ||||
\(832\) | −25.5102 | + | 28.8807i | −0.884409 | + | 1.00126i | ||||
\(833\) | 17.1863 | 0.595468 | ||||||||
\(834\) | −6.89272 | − | 14.3967i | −0.238675 | − | 0.498519i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 1.53452 | + | 5.28805i | 0.0530724 | + | 0.182891i | ||||
\(837\) | 17.4588 | + | 13.4073i | 0.603466 | + | 0.463424i | ||||
\(838\) | 41.8576 | − | 5.95051i | 1.44595 | − | 0.205557i | ||||
\(839\) | 14.0599 | 0.485402 | 0.242701 | − | 0.970101i | \(-0.421967\pi\) | ||||
0.242701 | + | 0.970101i | \(0.421967\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 19.9762 | 0.688834 | ||||||||
\(842\) | −9.60956 | + | 1.36610i | −0.331167 | + | 0.0470790i | ||||
\(843\) | −14.5501 | − | 46.1677i | −0.501134 | − | 1.59010i | ||||
\(844\) | 20.6813 | − | 6.00144i | 0.711881 | − | 0.206578i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 23.4211 | − | 21.8989i | 0.805233 | − | 0.752900i | ||||
\(847\) | 9.95482 | 0.342052 | ||||||||
\(848\) | −8.74139 | − | 13.7934i | −0.300181 | − | 0.473667i | ||||
\(849\) | −2.90991 | − | 9.23316i | −0.0998678 | − | 0.316881i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 16.9704i | 0.581739i | ||||||||
\(852\) | 26.7630 | − | 17.8316i | 0.916884 | − | 0.610900i | ||||
\(853\) | 25.1966 | 0.862716 | 0.431358 | − | 0.902181i | \(-0.358035\pi\) | ||||
0.431358 | + | 0.902181i | \(0.358035\pi\) | |||||||
\(854\) | 8.54799 | − | 1.21519i | 0.292506 | − | 0.0415829i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.02614 | + | 20.0158i | 0.308507 | + | 0.684127i | ||||
\(857\) | 46.7431 | 1.59671 | 0.798357 | − | 0.602185i | \(-0.205703\pi\) | ||||
0.798357 | + | 0.602185i | \(0.205703\pi\) | |||||||
\(858\) | −42.7861 | + | 20.4847i | −1.46069 | + | 0.699336i | ||||
\(859\) | −40.8430 | −1.39354 | −0.696772 | − | 0.717293i | \(-0.745381\pi\) | ||||
−0.696772 | + | 0.717293i | \(0.745381\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.45201 | − | 10.9533i | −0.117644 | − | 0.373286i | ||||
\(862\) | 3.98539 | + | 28.0344i | 0.135743 | + | 0.954855i | ||||
\(863\) | − | 39.3858i | − | 1.34071i | −0.742042 | − | 0.670354i | \(-0.766142\pi\) | ||
0.742042 | − | 0.670354i | \(-0.233858\pi\) | |||||||
\(864\) | −29.3554 | + | 1.50402i | −0.998690 | + | 0.0511679i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 14.2970 | − | 2.03247i | 0.485832 | − | 0.0690662i | ||||
\(867\) | −17.1243 | + | 5.39687i | −0.581572 | + | 0.183287i | ||||
\(868\) | −4.55100 | − | 15.6831i | −0.154471 | − | 0.532317i | ||||
\(869\) | 37.1977 | 1.26185 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 71.6388i | − | 2.42739i | ||||||
\(872\) | −52.8841 | + | 23.8481i | −1.79088 | + | 0.807597i | ||||
\(873\) | −2.49761 | − | 3.56889i | −0.0845312 | − | 0.120789i | ||||
\(874\) | −1.65480 | + | 0.235248i | −0.0559745 | + | 0.00795738i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −21.6731 | − | 32.5286i | −0.732267 | − | 1.09904i | ||||
\(877\) | 57.4498 | 1.93994 | 0.969972 | − | 0.243218i | \(-0.0782029\pi\) | ||||
0.969972 | + | 0.243218i | \(0.0782029\pi\) | |||||||
\(878\) | 47.1752 | − | 6.70646i | 1.59209 | − | 0.226332i | ||||
\(879\) | −3.12376 | − | 9.91172i | −0.105362 | − | 0.334314i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 44.2957i | − | 1.49236i | −0.665744 | − | 0.746180i | \(-0.731886\pi\) | ||
0.665744 | − | 0.746180i | \(-0.268114\pi\) | |||||||
\(882\) | −9.51950 | − | 10.1812i | −0.320538 | − | 0.342818i | ||||
\(883\) | 25.7701i | 0.867231i | 0.901098 | + | 0.433616i | \(0.142762\pi\) | ||||
−0.901098 | + | 0.433616i | \(0.857238\pi\) | |||||||
\(884\) | 48.3988 | − | 14.0446i | 1.62783 | − | 0.472373i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.888663 | + | 6.25112i | 0.0298552 | + | 0.210010i | ||||
\(887\) | 21.4751i | 0.721063i | 0.932747 | + | 0.360531i | \(0.117405\pi\) | ||||
−0.932747 | + | 0.360531i | \(0.882595\pi\) | |||||||
\(888\) | 32.0839 | + | 35.9272i | 1.07666 | + | 1.20564i | ||||
\(889\) | 31.9485 | 1.07152 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −33.9966 | − | 12.3934i | −1.13893 | − | 0.415196i | ||||
\(892\) | −12.5722 | + | 3.64827i | −0.420947 | + | 0.122153i | ||||
\(893\) | − | 5.17508i | − | 0.173177i | ||||||
\(894\) | 7.96971 | + | 16.6462i | 0.266547 | + | 0.556734i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 18.2121 | + | 11.9918i | 0.608422 | + | 0.400618i | ||||
\(897\) | −4.32835 | − | 13.7339i | −0.144520 | − | 0.458562i | ||||
\(898\) | 38.5737 | − | 5.48366i | 1.28722 | − | 0.182992i | ||||
\(899\) | − | 29.6474i | − | 0.988798i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 21.3567i | 0.711493i | ||||||||
\(902\) | −2.75310 | − | 19.3661i | −0.0916682 | − | 0.644821i | ||||
\(903\) | −1.04483 | − | 3.31525i | −0.0347697 | − | 0.110325i | ||||
\(904\) | −0.250922 | − | 0.556430i | −0.00834554 | − | 0.0185066i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 20.7917 | − | 9.95442i | 0.690758 | − | 0.330714i | ||||
\(907\) | 34.5984i | 1.14882i | 0.818568 | + | 0.574410i | \(0.194769\pi\) | ||||
−0.818568 | + | 0.574410i | \(0.805231\pi\) | |||||||
\(908\) | −43.2398 | + | 12.5476i | −1.43496 | + | 0.416406i | ||||
\(909\) | −10.3300 | + | 7.22923i | −0.342625 | + | 0.239778i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 20.3074 | 0.672815 | 0.336407 | − | 0.941717i | \(-0.390788\pi\) | ||||
0.336407 | + | 0.941717i | \(0.390788\pi\) | |||||||
\(912\) | −3.05854 | + | 3.62655i | −0.101278 | + | 0.120087i | ||||
\(913\) | − | 28.7818i | − | 0.952537i | ||||||
\(914\) | 16.1038 | − | 2.28932i | 0.532665 | − | 0.0757240i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −7.18121 | − | 24.7469i | −0.237274 | − | 0.817661i | ||||
\(917\) | − | 10.8181i | − | 0.357246i | ||||||
\(918\) | 33.4808 | + | 18.8893i | 1.10503 | + | 0.623440i | ||||
\(919\) | − | 11.1280i | − | 0.367080i | −0.983012 | − | 0.183540i | \(-0.941244\pi\) | ||
0.983012 | − | 0.183540i | \(-0.0587556\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 2.49397 | + | 7.91340i | 0.0821792 | + | 0.260755i | ||||
\(922\) | 1.64396 | + | 11.5641i | 0.0541411 | + | 0.380844i | ||||
\(923\) | 44.7168 | 1.47187 | ||||||||
\(924\) | 14.8841 | + | 22.3392i | 0.489652 | + | 0.734907i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −2.33278 | − | 16.4094i | −0.0766597 | − | 0.539247i | ||||
\(927\) | −17.4556 | + | 12.2159i | −0.573316 | + | 0.401222i | ||||
\(928\) | 25.6869 | + | 30.1234i | 0.843214 | + | 0.988850i | ||||
\(929\) | 20.3857i | 0.668834i | 0.942425 | + | 0.334417i | \(0.108539\pi\) | ||||
−0.942425 | + | 0.334417i | \(0.891461\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.24962 | −0.0737282 | ||||||||
\(932\) | −20.8423 | + | 6.04813i | −0.682711 | + | 0.198113i | ||||
\(933\) | 21.2739 | − | 6.70464i | 0.696475 | − | 0.219500i | ||||
\(934\) | −3.42148 | − | 24.0677i | −0.111954 | − | 0.787519i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −35.1283 | − | 20.8922i | −1.14820 | − | 0.682883i | ||||
\(937\) | 35.4418i | 1.15783i | 0.815387 | + | 0.578917i | \(0.196524\pi\) | ||||
−0.815387 | + | 0.578917i | \(0.803476\pi\) | |||||||
\(938\) | −40.1353 | + | 5.70566i | −1.31046 | + | 0.186296i | ||||
\(939\) | −10.6219 | − | 33.7034i | −0.346633 | − | 1.09987i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 13.4402 | 0.438139 | 0.219070 | − | 0.975709i | \(-0.429698\pi\) | ||||
0.219070 | + | 0.975709i | \(0.429698\pi\) | |||||||
\(942\) | −3.69897 | − | 7.72601i | −0.120519 | − | 0.251727i | ||||
\(943\) | 5.93781 | 0.193362 | ||||||||
\(944\) | −2.13023 | − | 3.36137i | −0.0693330 | − | 0.109403i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.833286 | − | 5.86158i | −0.0270925 | − | 0.190576i | ||||
\(947\) | 4.96195 | 0.161242 | 0.0806208 | − | 0.996745i | \(-0.474310\pi\) | ||||
0.0806208 | + | 0.996745i | \(0.474310\pi\) | |||||||
\(948\) | 17.7706 | + | 26.6714i | 0.577162 | + | 0.866247i | ||||
\(949\) | − | 54.3503i | − | 1.76428i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.78197 | + | 8.82720i | 0.0902114 | + | 0.286242i | ||||
\(952\) | −11.7232 | − | 25.9966i | −0.379950 | − | 0.842555i | ||||
\(953\) | −51.4156 | −1.66551 | −0.832757 | − | 0.553639i | \(-0.813239\pi\) | ||||
−0.832757 | + | 0.553639i | \(0.813239\pi\) | |||||||
\(954\) | 12.6517 | − | 11.8295i | 0.409615 | − | 0.382994i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 12.7356 | − | 3.69569i | 0.411899 | − | 0.119527i | ||||
\(957\) | 14.6490 | + | 46.4813i | 0.473534 | + | 1.50253i | ||||
\(958\) | −2.29656 | − | 16.1547i | −0.0741984 | − | 0.521933i | ||||
\(959\) | −18.1513 | −0.586135 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.0531 | 0.421068 | ||||||||
\(962\) | 9.42660 | + | 66.3095i | 0.303926 | + | 2.13790i | ||||
\(963\) | −19.0805 | + | 13.3530i | −0.614860 | + | 0.430295i | ||||
\(964\) | 30.6398 | − | 8.89123i | 0.986840 | − | 0.286367i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −7.34962 | + | 3.51877i | −0.236470 | + | 0.113215i | ||||
\(967\) | −20.9875 | −0.674911 | −0.337456 | − | 0.941341i | \(-0.609566\pi\) | ||||
−0.337456 | + | 0.941341i | \(0.609566\pi\) | |||||||
\(968\) | 6.00548 | + | 13.3174i | 0.193023 | + | 0.428037i | ||||
\(969\) | 5.91749 | − | 1.86495i | 0.190097 | − | 0.0599107i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 25.4429i | 0.816502i | 0.912870 | + | 0.408251i | \(0.133861\pi\) | ||||
−0.912870 | + | 0.408251i | \(0.866139\pi\) | |||||||
\(972\) | −7.35499 | − | 30.2969i | −0.235911 | − | 0.971775i | ||||
\(973\) | −12.5593 | −0.402633 | ||||||||
\(974\) | 6.58866 | + | 46.3466i | 0.211114 | + | 1.48504i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 6.78243 | + | 10.7023i | 0.217100 | + | 0.342571i | ||||
\(977\) | 26.6495 | 0.852593 | 0.426296 | − | 0.904584i | \(-0.359818\pi\) | ||||
0.426296 | + | 0.904584i | \(0.359818\pi\) | |||||||
\(978\) | −37.4600 | + | 17.9347i | −1.19784 | + | 0.573488i | ||||
\(979\) | 3.33314 | 0.106528 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −35.2802 | − | 50.4128i | −1.12641 | − | 1.60956i | ||||
\(982\) | 29.9118 | − | 4.25228i | 0.954524 | − | 0.135696i | ||||
\(983\) | 47.0887i | 1.50190i | 0.660361 | + | 0.750948i | \(0.270403\pi\) | ||||
−0.660361 | + | 0.750948i | \(0.729597\pi\) | |||||||
\(984\) | 12.5706 | − | 11.2259i | 0.400736 | − | 0.357867i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −7.28700 | − | 51.2589i | −0.232065 | − | 1.63242i | ||||
\(987\) | −7.58353 | − | 24.0626i | −0.241387 | − | 0.765922i | ||||
\(988\) | −6.33522 | + | 1.83839i | −0.201550 | + | 0.0584870i | ||||
\(989\) | 1.79721 | 0.0571479 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 26.3879i | − | 0.838238i | −0.907931 | − | 0.419119i | \(-0.862339\pi\) | ||
0.907931 | − | 0.419119i | \(-0.137661\pi\) | |||||||
\(992\) | 18.2350 | − | 15.5494i | 0.578963 | − | 0.493695i | ||||
\(993\) | −41.5787 | + | 13.1039i | −1.31946 | + | 0.415839i | ||||
\(994\) | −3.56146 | − | 25.0524i | −0.112963 | − | 0.794612i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 20.6370 | − | 13.7500i | 0.653909 | − | 0.435686i | ||||
\(997\) | 10.2047 | 0.323186 | 0.161593 | − | 0.986858i | \(-0.448337\pi\) | ||||
0.161593 | + | 0.986858i | \(0.448337\pi\) | |||||||
\(998\) | −2.95508 | − | 20.7869i | −0.0935416 | − | 0.657999i | ||||
\(999\) | −31.1170 | + | 40.5202i | −0.984497 | + | 1.28200i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))