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 | 299.7 | ||
Root | \(-0.199044 - 1.40014i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.299 |
Dual form | 600.2.m.c.299.8 |
$q$-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 | ||||||||
\(6\) | 0.400136 | − | 2.41659i | 0.163355 | − | 0.986567i | ||||
\(7\) | −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 | \(0.207277\pi\) | ||||
−0.795370 | + | 0.606124i | \(0.792723\pi\) | |||||||
\(12\) | −3.46320 | − | 0.0792373i | −0.999738 | − | 0.0228738i | ||||
\(13\) | 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 | \(-0.281254\pi\) | ||||
0.634384 | + | 0.773018i | \(0.281254\pi\) | |||||||
\(18\) | 1.91915 | − | 3.78377i | 0.452347 | − | 0.891842i | ||||
\(19\) | 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 | \(-0.942407\pi\) | ||
0.983676 | − | 0.179949i | \(-0.0575931\pi\) | |||||||
\(24\) | 0.578386 | + | 4.86472i | 0.118063 | + | 0.993006i | ||||
\(25\) | 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 | \(-0.725137\pi\) | ||||
−0.649776 | + | 0.760126i | \(0.725137\pi\) | |||||||
\(30\) | 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 | ||||||||
\(36\) | −5.67978 | − | 1.93393i | −0.946630 | − | 0.322321i | ||||
\(37\) | 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 | \(0.0865724\pi\) | ||||
−0.963242 | + | 0.268635i | \(0.913428\pi\) | |||||||
\(42\) | −0.771205 | + | 4.65762i | −0.119000 | + | 0.718687i | ||||
\(43\) | − | 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 | \(0.185828\pi\) | ||||
−0.834377 | + | 0.551194i | \(0.814172\pi\) | |||||||
\(48\) | 6.69614 | − | 1.77811i | 0.966505 | − | 0.256649i | ||||
\(49\) | −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 | \(0.0904630\pi\) | ||||
−0.959887 | + | 0.280388i | \(0.909537\pi\) | |||||||
\(54\) | 5.14027 | − | 5.25144i | 0.699502 | − | 0.714631i | ||||
\(55\) | 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 | \(0.0206286\pi\) | ||||
−0.997901 | + | 0.0647614i | \(0.979371\pi\) | |||||||
\(60\) | 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 | ||||||||
\(66\) | 9.71606 | + | 1.60878i | 1.19596 | + | 0.198027i | ||||
\(67\) | − | 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 | \(-0.685708\pi\) | ||||
−0.550880 | + | 0.834584i | \(0.685708\pi\) | |||||||
\(72\) | −1.57723 | + | 8.33741i | −0.185879 | + | 0.982573i | ||||
\(73\) | − | 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 | ||||||
\(78\) | 1.92736 | − | 11.6401i | 0.218230 | − | 1.31798i | ||||
\(79\) | 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 | \(-0.628521\pi\) | ||||
−0.392880 | + | 0.919590i | \(0.628521\pi\) | |||||||
\(84\) | 6.67481 | + | 0.152718i | 0.728282 | + | 0.0166630i | ||||
\(85\) | 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 | \(-0.986010\pi\) | ||
0.999034 | − | 0.0439381i | \(-0.0139904\pi\) | |||||||
\(90\) | 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 | ||||||||
\(96\) | −3.82243 | − | 9.02159i | −0.390125 | − | 0.920762i | ||||
\(97\) | − | 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 | \(-0.432948\pi\) | ||||
0.209097 | + | 0.977895i | \(0.432948\pi\) | |||||||
\(102\) | 2.09322 | − | 12.6418i | 0.207259 | − | 1.25172i | ||||
\(103\) | −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 | \(-0.377562\pi\) | ||||
0.375235 | + | 0.926930i | \(0.377562\pi\) | |||||||
\(108\) | −8.37588 | − | 6.15180i | −0.805969 | − | 0.591957i | ||||
\(109\) | − | 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 | \(-0.503231\pi\) | ||||
−0.0101506 | + | 0.999948i | \(0.503231\pi\) | |||||||
\(114\) | 0.273994 | − | 1.65476i | 0.0256619 | − | 0.154983i | ||||
\(115\) | 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 | ||||||||
\(126\) | −3.69888 | + | 7.29266i | −0.329522 | + | 0.649682i | ||||
\(127\) | −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 | \(-0.921146\pi\) | ||
0.969472 | − | 0.245202i | \(-0.0788543\pi\) | |||||||
\(132\) | 0.318579 | − | 13.9240i | 0.0277288 | − | 1.21193i | ||||
\(133\) | −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 | \(-0.631791\pi\) | ||||
−0.402304 | + | 0.915506i | \(0.631791\pi\) | |||||||
\(138\) | −4.17104 | − | 0.690637i | −0.355063 | − | 0.0587910i | ||||
\(139\) | 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 | ||||||||
\(144\) | 11.9874 | + | 0.548828i | 0.998954 | + | 0.0457357i | ||||
\(145\) | 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 | \(-0.400131\pi\) | ||||
0.308626 | + | 0.951184i | \(0.400131\pi\) | |||||||
\(150\) | 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 | ||||||||
\(156\) | −16.6813 | − | 0.381666i | −1.33558 | − | 0.0305578i | ||||
\(157\) | 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 | ||||||||
\(162\) | 11.2255 | − | 5.99898i | 0.881960 | − | 0.471324i | ||||
\(163\) | − | 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 | \(0.145302\pi\) | ||||
−0.897609 | + | 0.440792i | \(0.854698\pi\) | |||||||
\(168\) | −1.11476 | − | 9.37604i | −0.0860053 | − | 0.723377i | ||||
\(169\) | 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 | \(-0.973773\pi\) | ||
0.996607 | − | 0.0823014i | \(-0.0262270\pi\) | |||||||
\(174\) | −2.80027 | + | 16.9120i | −0.212288 | + | 1.28209i | ||||
\(175\) | 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 | \(-0.936043\pi\) | ||
0.979882 | − | 0.199578i | \(-0.0639570\pi\) | |||||||
\(180\) | 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 | ||||||||
\(186\) | −10.2376 | − | 1.69513i | −0.750656 | − | 0.124293i | ||||
\(187\) | 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 | \(-0.753344\pi\) | ||||
−0.714497 | + | 0.699639i | \(0.753344\pi\) | |||||||
\(192\) | −11.8706 | + | 7.14762i | −0.856688 | + | 0.515835i | ||||
\(193\) | − | 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 | \(-0.701164\pi\) | ||
0.590740 | − | 0.806862i | \(-0.298836\pi\) | |||||||
\(198\) | 15.2129 | + | 7.71606i | 1.08113 | + | 0.548357i | ||||
\(199\) | 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 | ||||||||
\(204\) | −18.1169 | − | 0.414511i | −1.26844 | − | 0.0290216i | ||||
\(205\) | 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 | ||||||||
\(216\) | −6.94619 | + | 12.9519i | −0.472628 | + | 0.881262i | ||||
\(217\) | 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 | ||||||||
\(222\) | 3.93422 | − | 23.7604i | 0.264048 | − | 1.59469i | ||||
\(223\) | 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 | \(-0.768545\pi\) | ||||
−0.747080 | + | 0.664735i | \(0.768545\pi\) | |||||||
\(228\) | −2.37143 | − | 0.0542579i | −0.157052 | − | 0.00359332i | ||||
\(229\) | 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 | \(-0.615668\pi\) | ||||
−0.355437 | + | 0.934700i | \(0.615668\pi\) | |||||||
\(234\) | 9.24404 | − | 18.2255i | 0.604302 | − | 1.19144i | ||||
\(235\) | 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 | \(-0.431206\pi\) | ||||
0.214446 | + | 0.976736i | \(0.431206\pi\) | |||||||
\(240\) | 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 | ||||||||
\(246\) | 8.31355 | + | 1.37655i | 0.530052 | + | 0.0877656i | ||||
\(247\) | 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 | \(-0.840211\pi\) | ||
0.876626 | − | 0.481173i | \(-0.159789\pi\) | |||||||
\(252\) | 10.9470 | + | 3.72737i | 0.689594 | + | 0.234802i | ||||
\(253\) | 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 | \(-0.331573\pi\) | ||||
0.504782 | + | 0.863247i | \(0.331573\pi\) | |||||||
\(258\) | −2.51628 | − | 0.416643i | −0.156657 | − | 0.0259391i | ||||
\(259\) | −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 | \(-0.769663\pi\) | ||
0.749411 | − | 0.662105i | \(-0.230337\pi\) | |||||||
\(264\) | −19.5590 | + | 2.32545i | −1.20377 | + | 0.143121i | ||||
\(265\) | 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 | \(-0.252218\pi\) | ||||
0.702163 | + | 0.712016i | \(0.252218\pi\) | |||||||
\(270\) | 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 | ||||||||
\(276\) | −0.136764 | + | 5.97749i | −0.00823223 | + | 0.359803i | ||||
\(277\) | 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 | \(-0.686276\pi\) | ||
0.552368 | − | 0.833600i | \(-0.313724\pi\) | |||||||
\(282\) | 18.2636 | + | 3.02407i | 1.08758 | + | 0.180080i | ||||
\(283\) | 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 | ||||||
\(288\) | −1.61760 | − | 16.8933i | −0.0953179 | − | 0.995447i | ||||
\(289\) | 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 | \(-0.943923\pi\) | ||
0.984522 | − | 0.175262i | \(-0.0560772\pi\) | |||||||
\(294\) | −1.31457 | + | 7.93921i | −0.0766671 | + | 0.463024i | ||||
\(295\) | 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 | ||||||||
\(306\) | 10.0396 | − | 19.7939i | 0.573923 | − | 1.13154i | ||||
\(307\) | − | 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 | \(-0.381027\pi\) | ||||
0.365123 | + | 0.930959i | \(0.381027\pi\) | |||||||
\(312\) | 2.78594 | + | 23.4321i | 0.157723 | + | 1.32658i | ||||
\(313\) | 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 | \(0.0479468\pi\) | ||||
−0.988677 | + | 0.150060i | \(0.952053\pi\) | |||||||
\(318\) | 9.86573 | + | 1.63356i | 0.553243 | + | 0.0916054i | ||||
\(319\) | − | 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 | ||||||||
\(324\) | −10.6338 | − | 14.5232i | −0.590765 | − | 0.806844i | ||||
\(325\) | 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 | ||||||||
\(336\) | −12.9059 | + | 3.42706i | −0.704072 | + | 0.186961i | ||||
\(337\) | − | 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 | ||||||||
\(342\) | 1.31414 | − | 2.59094i | 0.0710605 | − | 0.140102i | ||||
\(343\) | 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 | \(-0.581317\pi\) | ||||
−0.252696 | + | 0.967546i | \(0.581317\pi\) | |||||||
\(348\) | 24.2365 | + | 0.554526i | 1.29921 | + | 0.0297257i | ||||
\(349\) | 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 | \(-0.317073\pi\) | ||||
0.543567 | + | 0.839366i | \(0.317073\pi\) | |||||||
\(354\) | 2.40422 | + | 0.398089i | 0.127783 | + | 0.0211582i | ||||
\(355\) | 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 | \(-0.558037\pi\) | ||||
−0.181320 | + | 0.983424i | \(0.558037\pi\) | |||||||
\(360\) | 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 | ||||||||
\(366\) | 7.65480 | + | 1.26748i | 0.400123 | + | 0.0662520i | ||||
\(367\) | 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 | ||||||
\(372\) | −0.335679 | + | 14.6714i | −0.0174042 | + | 0.760677i | ||||
\(373\) | 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 | ||||||||
\(378\) | −9.90712 | + | 10.1214i | −0.509567 | + | 0.520589i | ||||
\(379\) | 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 | \(-0.799172\pi\) | ||
0.807484 | − | 0.589889i | \(-0.200828\pi\) | |||||||
\(384\) | 12.3704 | + | 15.1978i | 0.631275 | + | 0.775559i | ||||
\(385\) | 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 | \(-0.606081\pi\) | ||||
−0.327130 | + | 0.944979i | \(0.606081\pi\) | |||||||
\(390\) | 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 | ||||||||
\(396\) | 7.77550 | − | 22.8360i | 0.390733 | − | 1.14755i | ||||
\(397\) | −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 | \(0.318934\pi\) | ||||
−0.538651 | + | 0.842529i | \(0.681066\pi\) | |||||||
\(402\) | −35.9415 | − | 5.95116i | −1.79260 | − | 0.296817i | ||||
\(403\) | − | 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 | ||||||||
\(408\) | 3.02569 | + | 25.4486i | 0.149794 | + | 1.25989i | ||||
\(409\) | −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 | ||||||
\(414\) | −6.53080 | − | 3.31246i | −0.320971 | − | 0.162798i | ||||
\(415\) | 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 | \(0.260593\pi\) | ||||
−0.683188 | + | 0.730243i | \(0.739407\pi\) | |||||||
\(420\) | 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 | ||||||||
\(426\) | −3.71470 | + | 22.4346i | −0.179978 | + | 1.08696i | ||||
\(427\) | − | 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 | \(-0.660172\pi\) | ||||
−0.482228 | + | 0.876046i | \(0.660172\pi\) | |||||||
\(432\) | 19.5170 | + | 7.14762i | 0.939010 | + | 0.343890i | ||||
\(433\) | − | 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 | ||||||
\(438\) | −27.2678 | − | 4.51497i | −1.30291 | − | 0.215734i | ||||
\(439\) | − | 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 | \(-0.533824\pi\) | ||||
−0.106061 | + | 0.994360i | \(0.533824\pi\) | |||||||
\(444\) | −34.0509 | − | 0.779077i | −1.61598 | − | 0.0369734i | ||||
\(445\) | 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 | \(0.225265\pi\) | ||||
−0.759865 | + | 0.650081i | \(0.774735\pi\) | |||||||
\(450\) | 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 | ||||||||
\(456\) | 0.396052 | + | 3.33113i | 0.0185468 | + | 0.155994i | ||||
\(457\) | − | 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 | \(-0.561607\pi\) | ||||
−0.192337 | + | 0.981329i | \(0.561607\pi\) | |||||||
\(462\) | −18.7263 | − | 3.10069i | −0.871227 | − | 0.144257i | ||||
\(463\) | −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 | \(-0.369802\pi\) | ||||
0.397718 | + | 0.917508i | \(0.369802\pi\) | |||||||
\(468\) | −27.3581 | − | 9.31525i | −1.26463 | − | 0.430597i | ||||
\(469\) | 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 | ||||||||
\(474\) | 22.3579 | + | 3.70199i | 1.02693 | + | 0.170038i | ||||
\(475\) | 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 | \(-0.415093\pi\) | ||||
0.263591 | + | 0.964635i | \(0.415093\pi\) | |||||||
\(480\) | 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 | ||||||||
\(486\) | 21.6673 | − | 4.06573i | 0.982847 | − | 0.184425i | ||||
\(487\) | 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 | \(0.160112\pi\) | ||||
−0.876138 | + | 0.482061i | \(0.839888\pi\) | |||||||
\(492\) | 0.272592 | − | 11.9141i | 0.0122894 | − | 0.537129i | ||||
\(493\) | −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 | ||||||||
\(498\) | −2.86442 | + | 17.2994i | −0.128358 | + | 0.775206i | ||||
\(499\) | −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 | \(-0.986737\pi\) | ||
0.999132 | − | 0.0416542i | \(-0.0132628\pi\) | |||||||
\(504\) | 3.03989 | − | 16.0692i | 0.135408 | − | 0.715777i | ||||
\(505\) | 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 | \(-0.488507\pi\) | ||||
0.0360975 | + | 0.999348i | \(0.488507\pi\) | |||||||
\(510\) | 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 | ||||||||
\(516\) | −0.0825061 | + | 3.60606i | −0.00363213 | + | 0.158748i | ||||
\(517\) | −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 | \(-0.945149\pi\) | ||
0.985190 | − | 0.171469i | \(-0.0548512\pi\) | |||||||
\(522\) | −13.4308 | + | 26.4799i | −0.587848 | + | 1.15899i | ||||
\(523\) | 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 | ||||||
\(528\) | 7.14904 | + | 26.9223i | 0.311122 | + | 1.17164i | ||||
\(529\) | 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 | ||||||||
\(534\) | −2.00340 | − | 0.331722i | −0.0866958 | − | 0.0143550i | ||||
\(535\) | 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 | ||||||||
\(546\) | −3.71470 | + | 22.4346i | −0.158975 | + | 0.960113i | ||||
\(547\) | 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 | ||||||||
\(552\) | 8.39653 | − | 0.998298i | 0.357380 | − | 0.0424904i | ||||
\(553\) | − | 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 | \(-0.943506\pi\) | ||
0.984292 | − | 0.176549i | \(-0.0564935\pi\) | |||||||
\(558\) | −16.0295 | − | 8.13023i | −0.678581 | − | 0.344180i | ||||
\(559\) | − | 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 | \(-0.596014\pi\) | ||||
−0.297083 | + | 0.954852i | \(0.596014\pi\) | |||||||
\(564\) | 0.598843 | − | 26.1734i | 0.0252158 | − | 1.10210i | ||||
\(565\) | 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 | \(-0.937019\pi\) | ||
0.980489 | − | 0.196573i | \(-0.0629814\pi\) | |||||||
\(570\) | 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 | ||||||||
\(576\) | −23.3309 | + | 5.62737i | −0.972122 | + | 0.234474i | ||||
\(577\) | 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 | ||||||||
\(582\) | −3.50891 | − | 0.581002i | −0.145449 | − | 0.0240833i | ||||
\(583\) | −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 | \(-0.241782\pi\) | ||||
0.725125 | + | 0.688617i | \(0.241782\pi\) | |||||||
\(588\) | 11.3776 | + | 0.260318i | 0.469205 | + | 0.0107353i | ||||
\(589\) | − | 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 | \(-0.576691\pi\) | ||||
−0.238607 | + | 0.971116i | \(0.576691\pi\) | |||||||
\(594\) | 21.1138 | + | 20.6668i | 0.866310 | + | 0.847970i | ||||
\(595\) | 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 | \(-0.563495\pi\) | ||||
−0.198156 | + | 0.980170i | \(0.563495\pi\) | |||||||
\(600\) | 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 | ||||||||
\(606\) | 1.68169 | − | 10.1564i | 0.0683139 | − | 0.412576i | ||||
\(607\) | 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 | ||||||||
\(612\) | −29.7124 | − | 10.1169i | −1.20105 | − | 0.408951i | ||||
\(613\) | −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 | \(-0.408068\pi\) | ||||
0.284815 | + | 0.958583i | \(0.408068\pi\) | |||||||
\(618\) | −2.84170 | + | 17.1622i | −0.114310 | + | 0.690365i | ||||
\(619\) | 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 | ||||||||
\(624\) | 32.2536 | − | 8.56473i | 1.29118 | − | 0.342864i | ||||
\(625\) | 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 | ||||||||
\(636\) | 0.323487 | − | 14.1385i | 0.0128271 | − | 0.560629i | ||||
\(637\) | −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 | \(0.249734\pi\) | ||||
−0.707698 | + | 0.706515i | \(0.750266\pi\) | |||||||
\(642\) | 3.10623 | − | 18.7598i | 0.122593 | − | 0.740390i | ||||
\(643\) | 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 | \(-0.956686\pi\) | ||
0.990756 | − | 0.135655i | \(-0.0433138\pi\) | |||||||
\(648\) | −18.2179 | + | 17.7795i | −0.715665 | + | 0.698444i | ||||
\(649\) | −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 | \(0.106736\pi\) | ||||
−0.944305 | + | 0.329072i | \(0.893264\pi\) | |||||||
\(654\) | −49.5655 | − | 8.20701i | −1.93816 | − | 0.320919i | ||||
\(655\) | 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 | \(-0.903217\pi\) | ||
0.954131 | − | 0.299389i | \(-0.0967830\pi\) | |||||||
\(660\) | 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 | ||||||||
\(666\) | 18.8694 | − | 37.2028i | 0.731176 | − | 1.44158i | ||||
\(667\) | 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 | ||||||||
\(672\) | 7.36719 | + | 17.3878i | 0.284195 | + | 0.670749i | ||||
\(673\) | 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 | \(0.205728\pi\) | ||||
−0.798308 | + | 0.602249i | \(0.794272\pi\) | |||||||
\(678\) | −0.0863516 | + | 0.521513i | −0.00331631 | + | 0.0200286i | ||||
\(679\) | 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 | \(-0.541291\pi\) | ||||
−0.129355 | + | 0.991598i | \(0.541291\pi\) | |||||||
\(684\) | −3.88925 | − | 1.32426i | −0.148709 | − | 0.0506344i | ||||
\(685\) | 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 | ||||||||
\(696\) | −4.04772 | − | 34.0447i | −0.153428 | − | 1.29046i | ||||
\(697\) | 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 | \(-0.440535\pi\) | ||||
0.185731 | + | 0.982601i | \(0.440535\pi\) | |||||||
\(702\) | 24.7594 | − | 25.2949i | 0.934483 | − | 0.954694i | ||||
\(703\) | 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 | ||||||||
\(708\) | 0.0788318 | − | 3.44547i | 0.00296268 | − | 0.129489i | ||||
\(709\) | − | 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 | ||||||||
\(714\) | −4.03438 | + | 24.3652i | −0.150983 | + | 0.911847i | ||||
\(715\) | 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 | \(-0.676485\pi\) | ||||
−0.526471 | + | 0.850193i | \(0.676485\pi\) | |||||||
\(720\) | 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 | ||||||||
\(726\) | −2.06671 | + | 12.4817i | −0.0767027 | + | 0.463239i | ||||
\(727\) | −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 | ||||||
\(732\) | 0.250993 | − | 10.9701i | 0.00927696 | − | 0.405465i | ||||
\(733\) | −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 | ||||||||
\(738\) | 13.0169 | + | 6.60225i | 0.479159 | + | 0.243032i | ||||
\(739\) | 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 | \(0.229336\pi\) | ||||
−0.751489 | + | 0.659745i | \(0.770664\pi\) | |||||||
\(744\) | 20.6088 | − | 2.45026i | 0.755555 | − | 0.0898310i | ||||
\(745\) | 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 | ||||||||
\(756\) | 16.1433 | + | 11.8567i | 0.587126 | + | 0.431225i | ||||
\(757\) | −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 | \(-0.680606\pi\) | ||
0.537434 | − | 0.843306i | \(-0.319394\pi\) | |||||||
\(762\) | −6.63278 | + | 40.0581i | −0.240280 | + | 1.45115i | ||||
\(763\) | 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 | ||||||||
\(768\) | 18.8167 | − | 20.3453i | 0.678990 | − | 0.734148i | ||||
\(769\) | −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 | \(-0.731354\pi\) | ||
0.664496 | − | 0.747292i | \(-0.268646\pi\) | |||||||
\(774\) | −3.93986 | − | 1.99832i | −0.141615 | − | 0.0718280i | ||||
\(775\) | 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 | ||||||||
\(786\) | −13.5641 | − | 2.24594i | −0.483816 | − | 0.0801099i | ||||
\(787\) | − | 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 | ||||||||
\(792\) | −33.5212 | − | 6.34138i | −1.19112 | − | 0.225331i | ||||
\(793\) | 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 | \(-0.807683\pi\) | ||
0.822967 | − | 0.568090i | \(-0.192317\pi\) | |||||||
\(798\) | −0.528085 | + | 3.18932i | −0.0186940 | + | 0.112901i | ||||
\(799\) | 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 | ||||||||
\(804\) | −1.17848 | + | 51.5075i | −0.0415619 | + | 1.81653i | ||||
\(805\) | 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 | \(0.00612785\pi\) | ||||
−0.999815 | + | 0.0192500i | \(0.993872\pi\) | |||||||
\(810\) | 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 | ||||||||
\(816\) | 35.0293 | − | 9.30178i | 1.22627 | − | 0.325627i | ||||
\(817\) | − | 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 | \(-0.806431\pi\) | ||||
−0.820726 | + | 0.571322i | \(0.806431\pi\) | |||||||
\(822\) | −3.76836 | + | 22.7587i | −0.131437 | + | 0.793800i | ||||
\(823\) | 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 | \(-0.682660\pi\) | ||||
−0.542864 | + | 0.839821i | \(0.682660\pi\) | |||||||
\(828\) | −3.33797 | + | 9.80334i | −0.116002 | + | 0.340689i | ||||
\(829\) | 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 | ||||||||
\(834\) | 2.60742 | − | 15.7473i | 0.0902876 | − | 0.545284i | ||||
\(835\) | 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 | \(-0.578033\pi\) | ||||
−0.242701 | + | 0.970101i | \(0.578033\pi\) | |||||||
\(840\) | 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 | ||||||||
\(846\) | 28.5961 | + | 14.5041i | 0.983156 | + | 0.498662i | ||||
\(847\) | 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 | ||||||
\(852\) | 32.1509 | + | 0.735607i | 1.10147 | + | 0.0252015i | ||||
\(853\) | 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 | \(-0.794297\pi\) | ||||
−0.798357 | + | 0.602185i | \(0.794297\pi\) | |||||||
\(858\) | 46.7999 | + | 7.74908i | 1.59772 | + | 0.264549i | ||||
\(859\) | −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 | \(0.233858\pi\) | ||||
−0.742042 | + | 0.670354i | \(0.766142\pi\) | |||||||
\(864\) | 6.12290 | − | 28.7491i | 0.208305 | − | 0.978064i | ||||
\(865\) | 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 | ||||||||
\(876\) | −0.894082 | + | 39.0773i | −0.0302082 | + | 1.32030i | ||||
\(877\) | 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 | \(0.268114\pi\) | ||||
−0.665744 | + | 0.746180i | \(0.731886\pi\) | |||||||
\(882\) | −6.30496 | + | 12.4308i | −0.212299 | + | 0.418567i | ||||
\(883\) | 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 | \(-0.882595\pi\) | ||
0.932747 | − | 0.360531i | \(-0.117405\pi\) | |||||||
\(888\) | 5.68681 | + | 47.8309i | 0.190837 | + | 1.60510i | ||||
\(889\) | 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 | ||||||||
\(894\) | 3.01483 | − | 18.2078i | 0.100831 | − | 0.608960i | ||||
\(895\) | 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 | ||||||||
\(906\) | 22.7421 | + | 3.76562i | 0.755557 | + | 0.125104i | ||||
\(907\) | 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 | \(-0.609212\pi\) | ||||
−0.336407 | + | 0.941717i | \(0.609212\pi\) | |||||||
\(912\) | 4.58520 | − | 1.21757i | 0.151831 | − | 0.0403177i | ||||
\(913\) | − | 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 | ||||||||
\(918\) | 26.8901 | − | 27.4717i | 0.887505 | − | 0.906701i | ||||
\(919\) | − | 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 | ||||||||
\(924\) | −0.614016 | + | 26.8366i | −0.0201996 | + | 0.882858i | ||||
\(925\) | 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 | \(-0.891461\pi\) | ||
0.942425 | − | 0.334417i | \(-0.108539\pi\) | |||||||
\(930\) | 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 | ||||||||
\(936\) | −7.59714 | + | 40.1592i | −0.248320 | + | 1.31264i | ||||
\(937\) | 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 | \(-0.570302\pi\) | ||||
−0.219070 | + | 0.975709i | \(0.570302\pi\) | |||||||
\(942\) | 1.39927 | − | 8.45078i | 0.0455907 | − | 0.275341i | ||||
\(943\) | 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 | \(-0.525690\pi\) | ||||
−0.0806208 | + | 0.996745i | \(0.525690\pi\) | |||||||
\(948\) | 0.733090 | − | 32.0409i | 0.0238097 | − | 1.04064i | ||||
\(949\) | − | 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 | \(-0.186761\pi\) | ||||
0.832757 | + | 0.553639i | \(0.186761\pi\) | |||||||
\(954\) | 15.4472 | + | 7.83492i | 0.500123 | + | 0.253665i | ||||
\(955\) | 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 | ||||||||
\(966\) | 8.03908 | + | 1.33110i | 0.258653 | + | 0.0428276i | ||||
\(967\) | −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 | \(-0.866139\pi\) | ||
0.912870 | − | 0.408251i | \(-0.133861\pi\) | |||||||
\(972\) | −10.0053 | − | 29.5278i | −0.320921 | − | 0.947106i | ||||
\(973\) | −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 | \(-0.640182\pi\) | ||||
−0.426296 | + | 0.904584i | \(0.640182\pi\) | |||||||
\(978\) | −40.9741 | − | 6.78445i | −1.31021 | − | 0.216943i | ||||
\(979\) | 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 | \(-0.729597\pi\) | ||
0.660361 | − | 0.750948i | \(-0.270403\pi\) | |||||||
\(984\) | −16.7356 | + | 1.98977i | −0.533512 | + | 0.0634314i | ||||
\(985\) | 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 | ||||||||
\(996\) | 24.7917 | + | 0.567230i | 0.785555 | + | 0.0179734i | ||||
\(997\) | 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 \(a_p\))