Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [847,2,Mod(9,847)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(847, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("847.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 847 = 7 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 847.n (of order \(15\), degree \(8\), 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: | \(6.76332905120\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 632.1 | ||
Character | \(\chi\) | \(=\) | 847.632 |
Dual form | 847.2.n.d.130.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/847\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(365\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.43643 | − | 0.517880i | −1.72282 | − | 0.366196i | −0.762908 | − | 0.646507i | \(-0.776229\pi\) |
−0.959909 | + | 0.280310i | \(0.909563\pi\) | |||||||
\(3\) | 0.0745850 | − | 0.709629i | 0.0430617 | − | 0.409705i | −0.951665 | − | 0.307139i | \(-0.900628\pi\) |
0.994726 | − | 0.102565i | \(-0.0327051\pi\) | |||||||
\(4\) | 3.84091 | + | 1.71008i | 1.92046 | + | 0.855042i | ||||
\(5\) | 1.47503 | + | 1.63819i | 0.659655 | + | 0.732621i | 0.976419 | − | 0.215884i | \(-0.0692632\pi\) |
−0.316765 | + | 0.948504i | \(0.602596\pi\) | |||||||
\(6\) | −0.549224 | + | 1.69034i | −0.224220 | + | 0.690077i | ||||
\(7\) | 0.522062 | + | 2.59373i | 0.197321 | + | 0.980339i | ||||
\(8\) | −4.44220 | − | 3.22745i | −1.57056 | − | 1.14108i | ||||
\(9\) | 2.43643 | + | 0.517880i | 0.812144 | + | 0.172627i | ||||
\(10\) | −2.74543 | − | 4.75523i | −0.868182 | − | 1.50373i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 1.50000 | − | 2.59808i | 0.433013 | − | 0.750000i | ||||
\(13\) | 1.01557 | + | 3.12561i | 0.281669 | + | 0.866889i | 0.987377 | + | 0.158386i | \(0.0506290\pi\) |
−0.705708 | + | 0.708503i | \(0.749371\pi\) | |||||||
\(14\) | 0.0712722 | − | 6.58982i | 0.0190483 | − | 1.76120i | ||||
\(15\) | 1.27252 | − | 0.924542i | 0.328564 | − | 0.238716i | ||||
\(16\) | 3.52511 | + | 3.91503i | 0.881277 | + | 0.978757i | ||||
\(17\) | 1.45828 | − | 0.309968i | 0.353686 | − | 0.0751783i | −0.0276425 | − | 0.999618i | \(-0.508800\pi\) |
0.381329 | + | 0.924440i | \(0.375467\pi\) | |||||||
\(18\) | −5.66800 | − | 2.52356i | −1.33596 | − | 0.594808i | ||||
\(19\) | 6.31985 | − | 2.81378i | 1.44987 | − | 0.645525i | 0.477431 | − | 0.878669i | \(-0.341568\pi\) |
0.972442 | + | 0.233144i | \(0.0749013\pi\) | |||||||
\(20\) | 2.86403 | + | 8.81457i | 0.640416 | + | 1.97100i | ||||
\(21\) | 1.87953 | − | 0.177017i | 0.410146 | − | 0.0386283i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.24543 | + | 5.62125i | −0.676719 | + | 1.17211i | 0.299244 | + | 0.954177i | \(0.403266\pi\) |
−0.975963 | + | 0.217936i | \(0.930068\pi\) | |||||||
\(24\) | −2.62161 | + | 2.91160i | −0.535135 | + | 0.594327i | ||||
\(25\) | 0.0146981 | − | 0.139844i | 0.00293963 | − | 0.0279687i | ||||
\(26\) | −0.855683 | − | 8.14128i | −0.167813 | − | 1.59664i | ||||
\(27\) | 1.21071 | − | 3.72618i | 0.233001 | − | 0.717104i | ||||
\(28\) | −2.43031 | + | 10.8551i | −0.459285 | + | 2.05142i | ||||
\(29\) | −1.33468 | + | 0.969699i | −0.247843 | + | 0.180069i | −0.704770 | − | 0.709436i | \(-0.748950\pi\) |
0.456927 | + | 0.889504i | \(0.348950\pi\) | |||||||
\(30\) | −3.57922 | + | 1.59357i | −0.653472 | + | 0.290945i | ||||
\(31\) | −1.57262 | + | 1.74658i | −0.282452 | + | 0.313694i | −0.867630 | − | 0.497210i | \(-0.834358\pi\) |
0.585178 | + | 0.810905i | \(0.301024\pi\) | |||||||
\(32\) | −1.07031 | − | 1.85383i | −0.189205 | − | 0.327713i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.71354 | −0.636867 | ||||||||
\(35\) | −3.47897 | + | 4.68108i | −0.588053 | + | 0.791247i | ||||
\(36\) | 8.47250 | + | 6.15563i | 1.41208 | + | 1.02594i | ||||
\(37\) | 0.580619 | + | 5.52422i | 0.0954532 | + | 0.908177i | 0.932530 | + | 0.361092i | \(0.117596\pi\) |
−0.837077 | + | 0.547085i | \(0.815737\pi\) | |||||||
\(38\) | −16.8551 | + | 3.58266i | −2.73426 | + | 0.581184i | ||||
\(39\) | 2.29377 | − | 0.487556i | 0.367297 | − | 0.0780715i | ||||
\(40\) | −1.26522 | − | 12.0378i | −0.200049 | − | 1.90334i | ||||
\(41\) | −9.10137 | − | 6.61254i | −1.42140 | − | 1.03270i | −0.991539 | − | 0.129807i | \(-0.958564\pi\) |
−0.429857 | − | 0.902897i | \(-0.641436\pi\) | |||||||
\(42\) | −4.67101 | − | 0.542079i | −0.720753 | − | 0.0836446i | ||||
\(43\) | −5.26819 | −0.803391 | −0.401696 | − | 0.915773i | \(-0.631579\pi\) | ||||
−0.401696 | + | 0.915773i | \(0.631579\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.74543 | + | 4.75523i | 0.409265 | + | 0.708867i | ||||
\(46\) | 10.8184 | − | 12.0151i | 1.59509 | − | 1.77152i | ||||
\(47\) | 1.36197 | − | 0.606389i | 0.198664 | − | 0.0884509i | −0.304993 | − | 0.952355i | \(-0.598654\pi\) |
0.503657 | + | 0.863904i | \(0.331988\pi\) | |||||||
\(48\) | 3.04114 | − | 2.20952i | 0.438950 | − | 0.318916i | ||||
\(49\) | −6.45490 | + | 2.70818i | −0.922129 | + | 0.386883i | ||||
\(50\) | −0.108233 | + | 0.333107i | −0.0153065 | + | 0.0471085i | ||||
\(51\) | −0.111196 | − | 1.05796i | −0.0155706 | − | 0.148144i | ||||
\(52\) | −1.44433 | + | 13.7419i | −0.200293 | + | 1.90566i | ||||
\(53\) | 0.203907 | − | 0.226462i | 0.0280088 | − | 0.0311070i | −0.728978 | − | 0.684538i | \(-0.760004\pi\) |
0.756986 | + | 0.653431i | \(0.226671\pi\) | |||||||
\(54\) | −4.87953 | + | 8.45159i | −0.664019 | + | 1.15012i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 6.05203 | − | 13.2068i | 0.808737 | − | 1.76483i | ||||
\(57\) | −1.52537 | − | 4.69462i | −0.202041 | − | 0.621817i | ||||
\(58\) | 3.75403 | − | 1.67140i | 0.492929 | − | 0.219466i | ||||
\(59\) | −11.5643 | − | 5.14877i | −1.50555 | − | 0.670312i | −0.522327 | − | 0.852745i | \(-0.674936\pi\) |
−0.983218 | + | 0.182433i | \(0.941603\pi\) | |||||||
\(60\) | 6.46869 | − | 1.37496i | 0.835104 | − | 0.177507i | ||||
\(61\) | 8.68647 | + | 9.64730i | 1.11219 | + | 1.23521i | 0.969408 | + | 0.245456i | \(0.0789378\pi\) |
0.142781 | + | 0.989754i | \(0.454396\pi\) | |||||||
\(62\) | 4.73611 | − | 3.44098i | 0.601486 | − | 0.437005i | ||||
\(63\) | −0.0712722 | + | 6.58982i | −0.00897946 | + | 0.830239i | ||||
\(64\) | −1.60825 | − | 4.94968i | −0.201031 | − | 0.618710i | ||||
\(65\) | −3.62234 | + | 6.27408i | −0.449296 | + | 0.778204i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.28646 | + | 3.96027i | 0.279336 | + | 0.483824i | 0.971220 | − | 0.238185i | \(-0.0765524\pi\) |
−0.691884 | + | 0.722009i | \(0.743219\pi\) | |||||||
\(68\) | 6.13121 | + | 1.30323i | 0.743519 | + | 0.158040i | ||||
\(69\) | 3.74694 | + | 2.72231i | 0.451079 | + | 0.327728i | ||||
\(70\) | 10.9005 | − | 9.60344i | 1.30286 | − | 1.14783i | ||||
\(71\) | 3.50016 | − | 10.7724i | 0.415392 | − | 1.27845i | −0.496508 | − | 0.868032i | \(-0.665385\pi\) |
0.911900 | − | 0.410413i | \(-0.134615\pi\) | |||||||
\(72\) | −9.15169 | − | 10.1640i | −1.07854 | − | 1.19784i | ||||
\(73\) | 7.82697 | + | 3.48479i | 0.916078 | + | 0.407864i | 0.809957 | − | 0.586489i | \(-0.199490\pi\) |
0.106121 | + | 0.994353i | \(0.466157\pi\) | |||||||
\(74\) | 1.44624 | − | 13.7601i | 0.168122 | − | 1.59958i | ||||
\(75\) | −0.0981408 | − | 0.0208605i | −0.0113323 | − | 0.00240876i | ||||
\(76\) | 29.0858 | 3.33637 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −5.84111 | −0.661376 | ||||||||
\(79\) | 4.53027 | + | 0.962938i | 0.509695 | + | 0.108339i | 0.455579 | − | 0.890196i | \(-0.349432\pi\) |
0.0541165 | + | 0.998535i | \(0.482766\pi\) | |||||||
\(80\) | −1.21391 | + | 11.5496i | −0.135719 | + | 1.29128i | ||||
\(81\) | 4.27265 | + | 1.90230i | 0.474738 | + | 0.211367i | ||||
\(82\) | 18.7504 | + | 20.8244i | 2.07063 | + | 2.29967i | ||||
\(83\) | 0.598322 | − | 1.84145i | 0.0656744 | − | 0.202125i | −0.912834 | − | 0.408330i | \(-0.866111\pi\) |
0.978509 | + | 0.206205i | \(0.0661113\pi\) | |||||||
\(84\) | 7.52181 | + | 2.53424i | 0.820697 | + | 0.276508i | ||||
\(85\) | 2.65880 | + | 1.93173i | 0.288388 | + | 0.209526i | ||||
\(86\) | 12.8356 | + | 2.72829i | 1.38410 | + | 0.294199i | ||||
\(87\) | 0.588580 | + | 1.01945i | 0.0631024 | + | 0.109297i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.60220 | + | 2.77509i | −0.169833 | + | 0.294159i | −0.938361 | − | 0.345657i | \(-0.887656\pi\) |
0.768528 | + | 0.639816i | \(0.220989\pi\) | |||||||
\(90\) | −4.22642 | − | 13.0076i | −0.445504 | − | 1.37112i | ||||
\(91\) | −7.57681 | + | 4.26589i | −0.794265 | + | 0.447187i | ||||
\(92\) | −22.0782 | + | 16.0408i | −2.30181 | + | 1.67237i | ||||
\(93\) | 1.12213 | + | 1.24625i | 0.116359 | + | 0.129230i | ||||
\(94\) | −3.63239 | + | 0.772088i | −0.374652 | + | 0.0796348i | ||||
\(95\) | 13.9315 | + | 6.20270i | 1.42934 | + | 0.636384i | ||||
\(96\) | −1.39536 | + | 0.621253i | −0.142413 | + | 0.0634064i | ||||
\(97\) | 0.574582 | + | 1.76838i | 0.0583400 | + | 0.179552i | 0.975980 | − | 0.217861i | \(-0.0699080\pi\) |
−0.917640 | + | 0.397413i | \(0.869908\pi\) | |||||||
\(98\) | 17.1294 | − | 3.25544i | 1.73034 | − | 0.328849i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.295598 | − | 0.511992i | 0.0295598 | − | 0.0511992i | ||||
\(101\) | −4.04524 | + | 4.49269i | −0.402516 | + | 0.447040i | −0.909992 | − | 0.414627i | \(-0.863912\pi\) |
0.507475 | + | 0.861666i | \(0.330579\pi\) | |||||||
\(102\) | −0.276974 | + | 2.63523i | −0.0274245 | + | 0.260927i | ||||
\(103\) | 0.111196 | + | 1.05796i | 0.0109565 | + | 0.104244i | 0.998633 | − | 0.0522629i | \(-0.0166434\pi\) |
−0.987677 | + | 0.156507i | \(0.949977\pi\) | |||||||
\(104\) | 5.57637 | − | 17.1623i | 0.546808 | − | 1.68290i | ||||
\(105\) | 3.06235 | + | 2.81791i | 0.298855 | + | 0.275000i | ||||
\(106\) | −0.614087 | + | 0.446160i | −0.0596454 | + | 0.0433349i | ||||
\(107\) | 5.78455 | − | 2.57545i | 0.559213 | − | 0.248978i | −0.107611 | − | 0.994193i | \(-0.534320\pi\) |
0.666824 | + | 0.745215i | \(0.267653\pi\) | |||||||
\(108\) | 11.0223 | − | 12.2415i | 1.06062 | − | 1.17794i | ||||
\(109\) | −1.40694 | − | 2.43688i | −0.134760 | − | 0.233411i | 0.790746 | − | 0.612145i | \(-0.209693\pi\) |
−0.925506 | + | 0.378734i | \(0.876360\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.96345 | 0.376194 | ||||||||
\(112\) | −8.31421 | + | 11.1871i | −0.785619 | + | 1.05708i | ||||
\(113\) | 10.3181 | + | 7.49651i | 0.970641 | + | 0.705212i | 0.955598 | − | 0.294675i | \(-0.0952113\pi\) |
0.0150435 | + | 0.999887i | \(0.495211\pi\) | |||||||
\(114\) | 1.28522 | + | 12.2281i | 0.120372 | + | 1.14526i | ||||
\(115\) | −13.9958 | + | 2.97490i | −1.30511 | + | 0.277411i | ||||
\(116\) | −6.78464 | + | 1.44212i | −0.629938 | + | 0.133897i | ||||
\(117\) | 0.855683 | + | 8.14128i | 0.0791080 | + | 0.752662i | ||||
\(118\) | 25.5092 | + | 18.5335i | 2.34832 | + | 1.70615i | ||||
\(119\) | 1.56529 | + | 3.62058i | 0.143490 | + | 0.331898i | ||||
\(120\) | −8.63671 | −0.788420 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −16.1679 | − | 28.0035i | −1.46377 | − | 2.53532i | ||||
\(123\) | −5.37127 | + | 5.96540i | −0.484311 | + | 0.537882i | ||||
\(124\) | −9.02710 | + | 4.01913i | −0.810658 | + | 0.360928i | ||||
\(125\) | 9.16776 | − | 6.66077i | 0.819990 | − | 0.595757i | ||||
\(126\) | 3.58638 | − | 16.0187i | 0.319500 | − | 1.42706i | ||||
\(127\) | 3.82486 | − | 11.7717i | 0.339401 | − | 1.04457i | −0.625112 | − | 0.780535i | \(-0.714947\pi\) |
0.964513 | − | 0.264034i | \(-0.0850532\pi\) | |||||||
\(128\) | 1.80256 | + | 17.1502i | 0.159325 | + | 1.51588i | ||||
\(129\) | −0.392928 | + | 3.73846i | −0.0345954 | + | 0.329153i | ||||
\(130\) | 12.0748 | − | 13.4104i | 1.05903 | − | 1.17617i | ||||
\(131\) | 0.379526 | − | 0.657359i | 0.0331594 | − | 0.0574337i | −0.848969 | − | 0.528442i | \(-0.822776\pi\) |
0.882129 | + | 0.471008i | \(0.156110\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.5975 | + | 14.9230i | 0.918924 | + | 1.29399i | ||||
\(134\) | −3.51987 | − | 10.8330i | −0.304070 | − | 0.935832i | ||||
\(135\) | 7.89003 | − | 3.51287i | 0.679066 | − | 0.302339i | ||||
\(136\) | −7.47840 | − | 3.32960i | −0.641268 | − | 0.285511i | ||||
\(137\) | 5.71347 | − | 1.21444i | 0.488135 | − | 0.103756i | 0.0427320 | − | 0.999087i | \(-0.486394\pi\) |
0.445403 | + | 0.895330i | \(0.353060\pi\) | |||||||
\(138\) | −7.71934 | − | 8.57320i | −0.657114 | − | 0.729799i | ||||
\(139\) | −4.50859 | + | 3.27568i | −0.382414 | + | 0.277840i | −0.762340 | − | 0.647177i | \(-0.775949\pi\) |
0.379926 | + | 0.925017i | \(0.375949\pi\) | |||||||
\(140\) | −21.3674 | + | 12.0303i | −1.80588 | + | 1.01674i | ||||
\(141\) | −0.328728 | − | 1.01172i | −0.0276839 | − | 0.0852024i | ||||
\(142\) | −14.1067 | + | 24.4335i | −1.18381 | + | 2.05041i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 6.56117 | + | 11.3643i | 0.546764 | + | 0.947023i | ||||
\(145\) | −3.55724 | − | 0.756115i | −0.295413 | − | 0.0627919i | ||||
\(146\) | −17.2652 | − | 12.5439i | −1.42888 | − | 1.03814i | ||||
\(147\) | 1.44036 | + | 4.78258i | 0.118799 | + | 0.394460i | ||||
\(148\) | −7.21678 | + | 22.2110i | −0.593216 | + | 1.82573i | ||||
\(149\) | 0.669131 | + | 0.743145i | 0.0548173 | + | 0.0608808i | 0.769930 | − | 0.638129i | \(-0.220291\pi\) |
−0.715112 | + | 0.699009i | \(0.753625\pi\) | |||||||
\(150\) | 0.228310 | + | 0.101650i | 0.0186414 | + | 0.00829970i | ||||
\(151\) | 1.55132 | − | 14.7598i | 0.126245 | − | 1.20114i | −0.729589 | − | 0.683886i | \(-0.760289\pi\) |
0.855834 | − | 0.517251i | \(-0.173045\pi\) | |||||||
\(152\) | −37.1554 | − | 7.89762i | −3.01370 | − | 0.640582i | ||||
\(153\) | 3.71354 | 0.300222 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.18089 | −0.416139 | ||||||||
\(156\) | 9.64393 | + | 2.04988i | 0.772133 | + | 0.164122i | ||||
\(157\) | −0.667992 | + | 6.35552i | −0.0533116 | + | 0.507226i | 0.934986 | + | 0.354686i | \(0.115412\pi\) |
−0.988297 | + | 0.152540i | \(0.951255\pi\) | |||||||
\(158\) | −10.5390 | − | 4.69227i | −0.838438 | − | 0.373297i | ||||
\(159\) | −0.145496 | − | 0.161589i | −0.0115386 | − | 0.0128149i | ||||
\(160\) | 1.45818 | − | 4.48782i | 0.115279 | − | 0.354793i | ||||
\(161\) | −16.2743 | − | 5.48314i | −1.28260 | − | 0.432132i | ||||
\(162\) | −9.42485 | − | 6.84755i | −0.740486 | − | 0.537994i | ||||
\(163\) | −9.72786 | − | 2.06772i | −0.761944 | − | 0.161956i | −0.189479 | − | 0.981885i | \(-0.560680\pi\) |
−0.572466 | + | 0.819929i | \(0.694013\pi\) | |||||||
\(164\) | −23.6496 | − | 40.9623i | −1.84672 | − | 3.19862i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.41142 | + | 4.17670i | −0.187163 | + | 0.324175i | ||||
\(167\) | 0.599940 | + | 1.84643i | 0.0464248 | + | 0.142881i | 0.971582 | − | 0.236704i | \(-0.0760670\pi\) |
−0.925157 | + | 0.379584i | \(0.876067\pi\) | |||||||
\(168\) | −8.92055 | − | 5.27973i | −0.688235 | − | 0.407340i | ||||
\(169\) | 1.77916 | − | 1.29264i | 0.136859 | − | 0.0994337i | ||||
\(170\) | −5.47759 | − | 6.08348i | −0.420112 | − | 0.466582i | ||||
\(171\) | 16.8551 | − | 3.58266i | 1.28894 | − | 0.273973i | ||||
\(172\) | −20.2347 | − | 9.00905i | −1.54288 | − | 0.686933i | ||||
\(173\) | −5.87621 | + | 2.61626i | −0.446760 | + | 0.198910i | −0.617770 | − | 0.786359i | \(-0.711964\pi\) |
0.171010 | + | 0.985269i | \(0.445297\pi\) | |||||||
\(174\) | −0.906082 | − | 2.78863i | −0.0686899 | − | 0.211406i | ||||
\(175\) | 0.370390 | − | 0.0348840i | 0.0279989 | − | 0.00263698i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.51624 | + | 7.82235i | −0.339461 | + | 0.587964i | ||||
\(178\) | 5.34082 | − | 5.93158i | 0.400311 | − | 0.444591i | ||||
\(179\) | 0.374835 | − | 3.56632i | 0.0280165 | − | 0.266559i | −0.971543 | − | 0.236865i | \(-0.923880\pi\) |
0.999559 | − | 0.0296940i | \(-0.00945329\pi\) | |||||||
\(180\) | 2.41312 | + | 22.9593i | 0.179864 | + | 1.71129i | ||||
\(181\) | 3.77414 | − | 11.6156i | 0.280530 | − | 0.863381i | −0.707174 | − | 0.707040i | \(-0.750030\pi\) |
0.987703 | − | 0.156341i | \(-0.0499699\pi\) | |||||||
\(182\) | 20.6696 | − | 6.46967i | 1.53213 | − | 0.479564i | ||||
\(183\) | 7.49389 | − | 5.44463i | 0.553964 | − | 0.402479i | ||||
\(184\) | 32.5592 | − | 14.4963i | 2.40029 | − | 1.06868i | ||||
\(185\) | −8.19329 | + | 9.09957i | −0.602383 | + | 0.669014i | ||||
\(186\) | −2.08858 | − | 3.61753i | −0.153142 | − | 0.265250i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 6.26819 | 0.457155 | ||||||||
\(189\) | 10.2968 | + | 1.19496i | 0.748981 | + | 0.0869205i | ||||
\(190\) | −30.7309 | − | 22.3273i | −2.22945 | − | 1.61979i | ||||
\(191\) | −1.26577 | − | 12.0430i | −0.0915877 | − | 0.871398i | −0.939796 | − | 0.341736i | \(-0.888985\pi\) |
0.848208 | − | 0.529663i | \(-0.177681\pi\) | |||||||
\(192\) | −3.63239 | + | 0.772088i | −0.262145 | + | 0.0557206i | ||||
\(193\) | −11.6790 | + | 2.48245i | −0.840675 | + | 0.178691i | −0.608073 | − | 0.793881i | \(-0.708057\pi\) |
−0.232602 | + | 0.972572i | \(0.574724\pi\) | |||||||
\(194\) | −0.484121 | − | 4.60611i | −0.0347579 | − | 0.330699i | ||||
\(195\) | 4.18210 | + | 3.03847i | 0.299486 | + | 0.217589i | ||||
\(196\) | −29.4239 | − | 0.636544i | −2.10171 | − | 0.0454674i | ||||
\(197\) | −12.1626 | −0.866551 | −0.433275 | − | 0.901262i | \(-0.642642\pi\) | ||||
−0.433275 | + | 0.901262i | \(0.642642\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.952451 | − | 1.64969i | −0.0675174 | − | 0.116944i | 0.830290 | − | 0.557331i | \(-0.188174\pi\) |
−0.897808 | + | 0.440387i | \(0.854841\pi\) | |||||||
\(200\) | −0.516630 | + | 0.573776i | −0.0365312 | + | 0.0405721i | ||||
\(201\) | 2.98086 | − | 1.32716i | 0.210253 | − | 0.0936109i | ||||
\(202\) | 12.1826 | − | 8.85120i | 0.857167 | − | 0.622768i | ||||
\(203\) | −3.21192 | − | 2.95555i | −0.225433 | − | 0.207439i | ||||
\(204\) | 1.38211 | − | 4.25369i | 0.0967668 | − | 0.297818i | ||||
\(205\) | −2.59224 | − | 24.6635i | −0.181050 | − | 1.72257i | ||||
\(206\) | 0.276974 | − | 2.63523i | 0.0192977 | − | 0.183605i | ||||
\(207\) | −10.8184 | + | 12.0151i | −0.751931 | + | 0.835104i | ||||
\(208\) | −8.65685 | + | 14.9941i | −0.600245 | + | 1.03965i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −6.00187 | − | 8.45159i | −0.414168 | − | 0.583215i | ||||
\(211\) | 5.01988 | + | 15.4496i | 0.345583 | + | 1.06360i | 0.961271 | + | 0.275605i | \(0.0888782\pi\) |
−0.615688 | + | 0.787990i | \(0.711122\pi\) | |||||||
\(212\) | 1.17046 | − | 0.521122i | 0.0803875 | − | 0.0357908i | ||||
\(213\) | −7.38333 | − | 3.28727i | −0.505897 | − | 0.225240i | ||||
\(214\) | −15.4274 | + | 3.27920i | −1.05460 | + | 0.224162i | ||||
\(215\) | −7.77075 | − | 8.63029i | −0.529961 | − | 0.588581i | ||||
\(216\) | −17.4043 | + | 12.6449i | −1.18421 | + | 0.860380i | ||||
\(217\) | −5.35116 | − | 3.16715i | −0.363260 | − | 0.215000i | ||||
\(218\) | 2.16589 | + | 6.66593i | 0.146693 | + | 0.451473i | ||||
\(219\) | 3.05669 | − | 5.29434i | 0.206552 | − | 0.357758i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.44983 | + | 4.24324i | 0.164794 | + | 0.285431i | ||||
\(222\) | −9.65669 | − | 2.05259i | −0.648114 | − | 0.137761i | ||||
\(223\) | −2.45662 | − | 1.78484i | −0.164507 | − | 0.119522i | 0.502486 | − | 0.864585i | \(-0.332419\pi\) |
−0.666993 | + | 0.745064i | \(0.732419\pi\) | |||||||
\(224\) | 4.24956 | − | 3.74390i | 0.283936 | − | 0.250150i | ||||
\(225\) | 0.108233 | − | 0.333107i | 0.00721554 | − | 0.0222072i | ||||
\(226\) | −21.2570 | − | 23.6082i | −1.41399 | − | 1.57040i | ||||
\(227\) | −16.8541 | − | 7.50392i | −1.11864 | − | 0.498053i | −0.237731 | − | 0.971331i | \(-0.576404\pi\) |
−0.880913 | + | 0.473278i | \(0.843070\pi\) | |||||||
\(228\) | 2.16936 | − | 20.6401i | 0.143670 | − | 1.36693i | ||||
\(229\) | 24.9426 | + | 5.30171i | 1.64825 | + | 0.350347i | 0.936116 | − | 0.351693i | \(-0.114394\pi\) |
0.712138 | + | 0.702040i | \(0.247727\pi\) | |||||||
\(230\) | 35.6404 | 2.35006 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.05855 | 0.594723 | ||||||||
\(233\) | 3.73418 | + | 0.793725i | 0.244634 | + | 0.0519987i | 0.328597 | − | 0.944470i | \(-0.393424\pi\) |
−0.0839625 | + | 0.996469i | \(0.526758\pi\) | |||||||
\(234\) | 2.13139 | − | 20.2788i | 0.139333 | − | 1.32567i | ||||
\(235\) | 3.00233 | + | 1.33672i | 0.195851 | + | 0.0871983i | ||||
\(236\) | −35.6127 | − | 39.5519i | −2.31819 | − | 2.57461i | ||||
\(237\) | 1.02122 | − | 3.14299i | 0.0663353 | − | 0.204159i | ||||
\(238\) | −1.93870 | − | 9.63193i | −0.125667 | − | 0.624345i | ||||
\(239\) | 10.5202 | + | 7.64340i | 0.680498 | + | 0.494411i | 0.873523 | − | 0.486783i | \(-0.161830\pi\) |
−0.193025 | + | 0.981194i | \(0.561830\pi\) | |||||||
\(240\) | 8.10538 | + | 1.72285i | 0.523200 | + | 0.111210i | ||||
\(241\) | −0.225292 | − | 0.390216i | −0.0145123 | − | 0.0251360i | 0.858678 | − | 0.512515i | \(-0.171286\pi\) |
−0.873190 | + | 0.487379i | \(0.837953\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.54551 | − | 13.0692i | 0.484045 | − | 0.838391i | ||||
\(244\) | 16.8663 | + | 51.9090i | 1.07975 | + | 3.32314i | ||||
\(245\) | −13.9577 | − | 6.57970i | −0.891725 | − | 0.420362i | ||||
\(246\) | 16.1761 | − | 11.7526i | 1.03135 | − | 0.749320i | ||||
\(247\) | 15.2130 | + | 16.8958i | 0.967983 | + | 1.07505i | ||||
\(248\) | 12.6229 | − | 2.68308i | 0.801555 | − | 0.170376i | ||||
\(249\) | −1.26212 | − | 0.561931i | −0.0799835 | − | 0.0356110i | ||||
\(250\) | −25.7861 | + | 11.4807i | −1.63086 | + | 0.726104i | ||||
\(251\) | 0.345668 | + | 1.06386i | 0.0218184 | + | 0.0671501i | 0.961373 | − | 0.275249i | \(-0.0887604\pi\) |
−0.939554 | + | 0.342399i | \(0.888760\pi\) | |||||||
\(252\) | −11.5429 | + | 25.1890i | −0.727134 | + | 1.58676i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −15.4153 | + | 26.7001i | −0.967243 | + | 1.67531i | ||||
\(255\) | 1.56912 | − | 1.74269i | 0.0982622 | − | 0.109131i | ||||
\(256\) | 3.40192 | − | 32.3671i | 0.212620 | − | 2.02294i | ||||
\(257\) | 2.38739 | + | 22.7145i | 0.148921 | + | 1.41689i | 0.772442 | + | 0.635085i | \(0.219035\pi\) |
−0.623521 | + | 0.781807i | \(0.714298\pi\) | |||||||
\(258\) | 2.89342 | − | 8.90502i | 0.180136 | − | 0.554402i | ||||
\(259\) | −14.0252 | + | 4.38996i | −0.871486 | + | 0.272779i | ||||
\(260\) | −24.6423 | + | 17.9037i | −1.52825 | + | 1.11034i | ||||
\(261\) | −3.75403 | + | 1.67140i | −0.232369 | + | 0.103457i | ||||
\(262\) | −1.26512 | + | 1.40506i | −0.0781596 | + | 0.0868050i | ||||
\(263\) | −4.59568 | − | 7.95995i | −0.283382 | − | 0.490832i | 0.688834 | − | 0.724919i | \(-0.258123\pi\) |
−0.972215 | + | 0.234088i | \(0.924790\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.671758 | 0.0412658 | ||||||||
\(266\) | −18.0919 | − | 41.8472i | −1.10928 | − | 2.56582i | ||||
\(267\) | 1.84979 | + | 1.34395i | 0.113205 | + | 0.0822483i | ||||
\(268\) | 2.00971 | + | 19.1211i | 0.122762 | + | 1.16801i | ||||
\(269\) | 15.2720 | − | 3.24617i | 0.931151 | − | 0.197922i | 0.282726 | − | 0.959201i | \(-0.408761\pi\) |
0.648425 | + | 0.761278i | \(0.275428\pi\) | |||||||
\(270\) | −21.0428 | + | 4.47278i | −1.28062 | + | 0.272205i | ||||
\(271\) | 2.90009 | + | 27.5925i | 0.176168 | + | 1.67613i | 0.623550 | + | 0.781784i | \(0.285690\pi\) |
−0.447382 | + | 0.894343i | \(0.647643\pi\) | |||||||
\(272\) | 6.35414 | + | 4.61655i | 0.385276 | + | 0.279920i | ||||
\(273\) | 2.46208 | + | 5.69490i | 0.149012 | + | 0.344671i | ||||
\(274\) | −14.5494 | −0.878962 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 9.73630 | + | 16.8638i | 0.586056 | + | 1.01508i | ||||
\(277\) | −9.91141 | + | 11.0077i | −0.595519 | + | 0.661391i | −0.963270 | − | 0.268533i | \(-0.913461\pi\) |
0.367751 | + | 0.929924i | \(0.380128\pi\) | |||||||
\(278\) | 12.6813 | − | 5.64607i | 0.760573 | − | 0.338629i | ||||
\(279\) | −4.73611 | + | 3.44098i | −0.283543 | + | 0.206006i | ||||
\(280\) | 30.5622 | − | 9.56610i | 1.82644 | − | 0.571684i | ||||
\(281\) | −4.70407 | + | 14.4776i | −0.280621 | + | 0.863663i | 0.707056 | + | 0.707157i | \(0.250023\pi\) |
−0.987677 | + | 0.156505i | \(0.949977\pi\) | |||||||
\(282\) | 0.276974 | + | 2.63523i | 0.0164936 | + | 0.156926i | ||||
\(283\) | 2.27007 | − | 21.5983i | 0.134942 | − | 1.28389i | −0.692123 | − | 0.721779i | \(-0.743324\pi\) |
0.827065 | − | 0.562106i | \(-0.190009\pi\) | |||||||
\(284\) | 31.8655 | − | 35.3902i | 1.89087 | − | 2.10002i | ||||
\(285\) | 5.44070 | − | 9.42356i | 0.322279 | − | 0.558204i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.3997 | − | 27.0587i | 0.731929 | − | 1.59722i | ||||
\(288\) | −1.64767 | − | 5.07101i | −0.0970900 | − | 0.298812i | ||||
\(289\) | −13.4998 | + | 6.01048i | −0.794103 | + | 0.353558i | ||||
\(290\) | 8.27540 | + | 3.68445i | 0.485948 | + | 0.216358i | ||||
\(291\) | 1.29775 | − | 0.275845i | 0.0760755 | − | 0.0161703i | ||||
\(292\) | 24.1034 | + | 26.7696i | 1.41055 | + | 1.56657i | ||||
\(293\) | 9.00240 | − | 6.54062i | 0.525926 | − | 0.382107i | −0.292906 | − | 0.956141i | \(-0.594622\pi\) |
0.818832 | + | 0.574034i | \(0.194622\pi\) | |||||||
\(294\) | −1.03255 | − | 12.3984i | −0.0602196 | − | 0.723087i | ||||
\(295\) | −8.62309 | − | 26.5391i | −0.502056 | − | 1.54517i | ||||
\(296\) | 15.2499 | − | 26.4136i | 0.886383 | − | 1.53526i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.24543 | − | 2.15715i | −0.0721459 | − | 0.124960i | ||||
\(299\) | −20.8658 | − | 4.43517i | −1.20670 | − | 0.256492i | ||||
\(300\) | −0.341277 | − | 0.247952i | −0.0197036 | − | 0.0143155i | ||||
\(301\) | −2.75032 | − | 13.6643i | −0.158526 | − | 0.787596i | ||||
\(302\) | −11.4235 | + | 35.1579i | −0.657348 | + | 2.02311i | ||||
\(303\) | 2.88643 | + | 3.20571i | 0.165821 | + | 0.184163i | ||||
\(304\) | 33.2942 | + | 14.8235i | 1.90955 | + | 0.850187i | ||||
\(305\) | −2.99128 | + | 28.4602i | −0.171280 | + | 1.62962i | ||||
\(306\) | −9.04778 | − | 1.92317i | −0.517227 | − | 0.109940i | ||||
\(307\) | −24.9855 | −1.42600 | −0.712998 | − | 0.701166i | \(-0.752663\pi\) | ||||
−0.712998 | + | 0.701166i | \(0.752663\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.759053 | 0.0431810 | ||||||||
\(310\) | 12.6229 | + | 2.68308i | 0.716932 | + | 0.152389i | ||||
\(311\) | −3.63140 | + | 34.5505i | −0.205918 | + | 1.95918i | 0.0687384 | + | 0.997635i | \(0.478103\pi\) |
−0.274656 | + | 0.961542i | \(0.588564\pi\) | |||||||
\(312\) | −11.7630 | − | 5.23721i | −0.665946 | − | 0.296498i | ||||
\(313\) | 15.8647 | + | 17.6196i | 0.896728 | + | 0.995917i | 0.999999 | + | 0.00126374i | \(0.000402261\pi\) |
−0.103272 | + | 0.994653i | \(0.532931\pi\) | |||||||
\(314\) | 4.91891 | − | 15.1389i | 0.277590 | − | 0.854335i | ||||
\(315\) | −10.9005 | + | 9.60344i | −0.614174 | + | 0.541093i | ||||
\(316\) | 15.7537 | + | 11.4457i | 0.886212 | + | 0.643871i | ||||
\(317\) | −19.2470 | − | 4.09108i | −1.08102 | − | 0.229778i | −0.367224 | − | 0.930132i | \(-0.619692\pi\) |
−0.713795 | + | 0.700355i | \(0.753025\pi\) | |||||||
\(318\) | 0.270807 | + | 0.469051i | 0.0151861 | + | 0.0263031i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 5.73630 | − | 9.93556i | 0.320669 | − | 0.555414i | ||||
\(321\) | −1.39617 | − | 4.29697i | −0.0779267 | − | 0.239834i | ||||
\(322\) | 36.8117 | + | 21.7875i | 2.05144 | + | 1.21417i | ||||
\(323\) | 8.34396 | − | 6.06224i | 0.464270 | − | 0.337312i | ||||
\(324\) | 13.1578 | + | 14.6132i | 0.730986 | + | 0.811843i | ||||
\(325\) | 0.452023 | − | 0.0960806i | 0.0250738 | − | 0.00532959i | ||||
\(326\) | 22.6304 | + | 10.0757i | 1.25338 | + | 0.558042i | ||||
\(327\) | −1.83422 | + | 0.816647i | −0.101433 | + | 0.0451607i | ||||
\(328\) | 19.0885 | + | 58.7484i | 1.05399 | + | 3.24384i | ||||
\(329\) | 2.28384 | + | 3.21602i | 0.125912 | + | 0.177305i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.0949 | − | 24.4131i | 0.774728 | − | 1.34187i | −0.160220 | − | 0.987081i | \(-0.551220\pi\) |
0.934947 | − | 0.354786i | \(-0.115446\pi\) | |||||||
\(332\) | 5.44713 | − | 6.04966i | 0.298950 | − | 0.332018i | ||||
\(333\) | −1.44624 | + | 13.7601i | −0.0792536 | + | 0.754048i | ||||
\(334\) | −0.505487 | − | 4.80939i | −0.0276590 | − | 0.263158i | ||||
\(335\) | −3.11506 | + | 9.58718i | −0.170194 | + | 0.523804i | ||||
\(336\) | 7.31856 | + | 6.73439i | 0.399260 | + | 0.367391i | ||||
\(337\) | 17.5929 | − | 12.7820i | 0.958346 | − | 0.696279i | 0.00558004 | − | 0.999984i | \(-0.498224\pi\) |
0.952766 | + | 0.303705i | \(0.0982238\pi\) | |||||||
\(338\) | −5.00424 | + | 2.22803i | −0.272195 | + | 0.121189i | ||||
\(339\) | 6.08931 | − | 6.76287i | 0.330726 | − | 0.367308i | ||||
\(340\) | 6.90880 | + | 11.9664i | 0.374682 | + | 0.648969i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −42.9217 | −2.32094 | ||||||||
\(343\) | −10.3942 | − | 15.3285i | −0.561232 | − | 0.827659i | ||||
\(344\) | 23.4024 | + | 17.0028i | 1.26177 | + | 0.916730i | ||||
\(345\) | 1.06720 | + | 10.1537i | 0.0574560 | + | 0.546657i | ||||
\(346\) | 15.6719 | − | 3.33116i | 0.842526 | − | 0.179084i | ||||
\(347\) | −3.85532 | + | 0.819473i | −0.206964 | + | 0.0439916i | −0.310227 | − | 0.950663i | \(-0.600405\pi\) |
0.103263 | + | 0.994654i | \(0.467072\pi\) | |||||||
\(348\) | 0.517338 | + | 4.92214i | 0.0277322 | + | 0.263854i | ||||
\(349\) | −11.4147 | − | 8.29324i | −0.611013 | − | 0.443927i | 0.238758 | − | 0.971079i | \(-0.423260\pi\) |
−0.849771 | + | 0.527152i | \(0.823260\pi\) | |||||||
\(350\) | −0.920496 | − | 0.106825i | −0.0492026 | − | 0.00571004i | ||||
\(351\) | 12.8762 | 0.687279 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 2.48434 | + | 4.30301i | 0.132228 | + | 0.229026i | 0.924535 | − | 0.381097i | \(-0.124453\pi\) |
−0.792307 | + | 0.610123i | \(0.791120\pi\) | |||||||
\(354\) | 15.0545 | − | 16.7198i | 0.800140 | − | 0.888646i | ||||
\(355\) | 22.8100 | − | 10.1557i | 1.21063 | − | 0.539008i | ||||
\(356\) | −10.8996 | + | 7.91899i | −0.577675 | + | 0.419706i | ||||
\(357\) | 2.68602 | − | 0.840734i | 0.142159 | − | 0.0444964i | ||||
\(358\) | −2.76018 | + | 8.49497i | −0.145880 | + | 0.448973i | ||||
\(359\) | −0.425597 | − | 4.04929i | −0.0224622 | − | 0.213713i | −0.999996 | − | 0.00293325i | \(-0.999066\pi\) |
0.977534 | − | 0.210780i | \(-0.0676003\pi\) | |||||||
\(360\) | 3.15149 | − | 29.9844i | 0.166098 | − | 1.58032i | ||||
\(361\) | 19.3097 | − | 21.4456i | 1.01630 | − | 1.12872i | ||||
\(362\) | −15.2109 | + | 26.3461i | −0.799468 | + | 1.38472i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −36.3969 | + | 3.42792i | −1.90772 | + | 0.179672i | ||||
\(365\) | 5.83629 | + | 17.9623i | 0.305485 | + | 0.940187i | ||||
\(366\) | −21.0780 | + | 9.38454i | −1.10177 | + | 0.490538i | ||||
\(367\) | −16.4639 | − | 7.33021i | −0.859410 | − | 0.382634i | −0.0707724 | − | 0.997492i | \(-0.522546\pi\) |
−0.788637 | + | 0.614859i | \(0.789213\pi\) | |||||||
\(368\) | −33.4479 | + | 7.10956i | −1.74359 | + | 0.370611i | ||||
\(369\) | −18.7504 | − | 20.8244i | −0.976106 | − | 1.08408i | ||||
\(370\) | 24.6749 | − | 17.9274i | 1.28279 | − | 0.931999i | ||||
\(371\) | 0.693835 | + | 0.410654i | 0.0360221 | + | 0.0213201i | ||||
\(372\) | 2.17880 | + | 6.70566i | 0.112966 | + | 0.347672i | ||||
\(373\) | 14.4582 | − | 25.0424i | 0.748618 | − | 1.29664i | −0.199867 | − | 0.979823i | \(-0.564051\pi\) |
0.948485 | − | 0.316822i | \(-0.102616\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −4.04290 | − | 7.00250i | −0.208774 | − | 0.361608i | ||||
\(376\) | −8.00724 | − | 1.70199i | −0.412942 | − | 0.0877735i | ||||
\(377\) | −4.38636 | − | 3.18688i | −0.225909 | − | 0.164133i | ||||
\(378\) | −24.4686 | − | 8.24393i | −1.25853 | − | 0.424022i | ||||
\(379\) | 1.33139 | − | 4.09760i | 0.0683889 | − | 0.210479i | −0.911021 | − | 0.412359i | \(-0.864705\pi\) |
0.979410 | + | 0.201880i | \(0.0647049\pi\) | |||||||
\(380\) | 42.9025 | + | 47.6480i | 2.20085 | + | 2.44429i | ||||
\(381\) | −8.06826 | − | 3.59222i | −0.413349 | − | 0.184035i | ||||
\(382\) | −3.15285 | + | 29.9974i | −0.161314 | + | 1.53480i | ||||
\(383\) | 12.0789 | + | 2.56745i | 0.617203 | + | 0.131191i | 0.505895 | − | 0.862595i | \(-0.331163\pi\) |
0.111308 | + | 0.993786i | \(0.464496\pi\) | |||||||
\(384\) | 12.3047 | 0.627923 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 29.7408 | 1.51377 | ||||||||
\(387\) | −12.8356 | − | 2.72829i | −0.652470 | − | 0.138687i | ||||
\(388\) | −0.817162 | + | 7.77478i | −0.0414851 | + | 0.394705i | ||||
\(389\) | 26.8793 | + | 11.9674i | 1.36283 | + | 0.606772i | 0.952325 | − | 0.305085i | \(-0.0986850\pi\) |
0.410507 | + | 0.911857i | \(0.365352\pi\) | |||||||
\(390\) | −8.61583 | − | 9.56885i | −0.436280 | − | 0.484538i | ||||
\(391\) | −2.99036 | + | 9.20337i | −0.151229 | + | 0.465434i | ||||
\(392\) | 37.4145 | + | 8.80258i | 1.88972 | + | 0.444597i | ||||
\(393\) | −0.438174 | − | 0.318352i | −0.0221030 | − | 0.0160587i | ||||
\(394\) | 29.6334 | + | 6.29877i | 1.49291 | + | 0.317328i | ||||
\(395\) | 5.10482 | + | 8.84180i | 0.256851 | + | 0.444879i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.64975 | − | 14.9818i | 0.434119 | − | 0.751915i | −0.563105 | − | 0.826386i | \(-0.690393\pi\) |
0.997223 | + | 0.0744702i | \(0.0237266\pi\) | |||||||
\(398\) | 1.46624 | + | 4.51262i | 0.0734959 | + | 0.226197i | ||||
\(399\) | 11.3802 | − | 6.40729i | 0.569725 | − | 0.320766i | ||||
\(400\) | 0.599304 | − | 0.435420i | 0.0299652 | − | 0.0217710i | ||||
\(401\) | −16.6951 | − | 18.5418i | −0.833713 | − | 0.925932i | 0.164458 | − | 0.986384i | \(-0.447412\pi\) |
−0.998171 | + | 0.0604521i | \(0.980746\pi\) | |||||||
\(402\) | −7.94997 | + | 1.68982i | −0.396508 | + | 0.0842805i | ||||
\(403\) | −7.05623 | − | 3.14164i | −0.351496 | − | 0.156496i | ||||
\(404\) | −23.2203 | + | 10.3383i | −1.15525 | + | 0.514352i | ||||
\(405\) | 3.18596 | + | 9.80536i | 0.158311 | + | 0.487232i | ||||
\(406\) | 6.29502 | + | 8.86439i | 0.312416 | + | 0.439932i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −2.92056 | + | 5.05855i | −0.144589 | + | 0.250436i | ||||
\(409\) | 25.8006 | − | 28.6545i | 1.27576 | − | 1.41687i | 0.413418 | − | 0.910541i | \(-0.364335\pi\) |
0.862339 | − | 0.506331i | \(-0.168999\pi\) | |||||||
\(410\) | −6.45691 | + | 61.4334i | −0.318884 | + | 3.03398i | ||||
\(411\) | −0.435660 | − | 4.14502i | −0.0214895 | − | 0.204459i | ||||
\(412\) | −1.38211 | + | 4.25369i | −0.0680915 | + | 0.209564i | ||||
\(413\) | 7.31723 | − | 32.6827i | 0.360057 | − | 1.60821i | ||||
\(414\) | 32.5807 | − | 23.6712i | 1.60125 | − | 1.16338i | ||||
\(415\) | 3.89918 | − | 1.73603i | 0.191403 | − | 0.0852183i | ||||
\(416\) | 4.70736 | − | 5.22806i | 0.230798 | − | 0.256327i | ||||
\(417\) | 1.98825 | + | 3.44374i | 0.0973648 | + | 0.168641i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.908970 | 0.0444061 | 0.0222030 | − | 0.999753i | \(-0.492932\pi\) | ||||
0.0222030 | + | 0.999753i | \(0.492932\pi\) | |||||||
\(420\) | 6.94334 | + | 16.0602i | 0.338801 | + | 0.783659i | ||||
\(421\) | −12.5828 | − | 9.14191i | −0.613246 | − | 0.445550i | 0.237310 | − | 0.971434i | \(-0.423734\pi\) |
−0.850556 | + | 0.525884i | \(0.823734\pi\) | |||||||
\(422\) | −4.22957 | − | 40.2416i | −0.205892 | − | 1.95893i | ||||
\(423\) | 3.63239 | − | 0.772088i | 0.176613 | − | 0.0375402i | ||||
\(424\) | −1.63669 | + | 0.347890i | −0.0794848 | + | 0.0168950i | ||||
\(425\) | −0.0219129 | − | 0.208488i | −0.00106293 | − | 0.0101131i | ||||
\(426\) | 16.2866 | + | 11.8329i | 0.789087 | + | 0.573305i | ||||
\(427\) | −20.4877 | + | 27.5669i | −0.991467 | + | 1.33405i | ||||
\(428\) | 26.6222 | 1.28683 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 14.4635 | + | 25.0514i | 0.697490 | + | 1.20809i | ||||
\(431\) | −2.36630 | + | 2.62804i | −0.113981 | + | 0.126588i | −0.797435 | − | 0.603405i | \(-0.793810\pi\) |
0.683454 | + | 0.729993i | \(0.260477\pi\) | |||||||
\(432\) | 18.8560 | − | 8.39523i | 0.907209 | − | 0.403916i | ||||
\(433\) | −14.2757 | + | 10.3719i | −0.686044 | + | 0.498440i | −0.875357 | − | 0.483476i | \(-0.839374\pi\) |
0.189313 | + | 0.981917i | \(0.439374\pi\) | |||||||
\(434\) | 11.3975 | + | 10.4878i | 0.547099 | + | 0.503430i | ||||
\(435\) | −0.801878 | + | 2.46793i | −0.0384471 | + | 0.118328i | ||||
\(436\) | −1.23664 | − | 11.7658i | −0.0592243 | − | 0.563481i | ||||
\(437\) | −4.69368 | + | 44.6574i | −0.224529 | + | 2.13625i | ||||
\(438\) | −10.1892 | + | 11.3163i | −0.486861 | + | 0.540713i | ||||
\(439\) | 7.51362 | − | 13.0140i | 0.358606 | − | 0.621123i | −0.629123 | − | 0.777306i | \(-0.716586\pi\) |
0.987728 | + | 0.156183i | \(0.0499190\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −17.1294 | + | 3.25544i | −0.815688 | + | 0.155021i | ||||
\(442\) | −3.77137 | − | 11.6071i | −0.179386 | − | 0.552092i | ||||
\(443\) | 12.0795 | − | 5.37815i | 0.573915 | − | 0.255523i | −0.0991922 | − | 0.995068i | \(-0.531626\pi\) |
0.673107 | + | 0.739545i | \(0.264959\pi\) | |||||||
\(444\) | 15.2233 | + | 6.77784i | 0.722465 | + | 0.321662i | ||||
\(445\) | −6.90943 | + | 1.46864i | −0.327538 | + | 0.0696204i | ||||
\(446\) | 5.06105 | + | 5.62087i | 0.239648 | + | 0.266156i | ||||
\(447\) | 0.577264 | − | 0.419407i | 0.0273037 | − | 0.0198373i | ||||
\(448\) | 11.9985 | − | 6.75541i | 0.566878 | − | 0.319163i | ||||
\(449\) | −3.06194 | − | 9.42367i | −0.144502 | − | 0.444731i | 0.852445 | − | 0.522817i | \(-0.175119\pi\) |
−0.996947 | + | 0.0780865i | \(0.975119\pi\) | |||||||
\(450\) | −0.436212 | + | 0.755542i | −0.0205632 | + | 0.0356166i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 26.8111 | + | 46.4382i | 1.26109 | + | 2.18427i | ||||
\(453\) | −10.3583 | − | 2.20172i | −0.486675 | − | 0.103446i | ||||
\(454\) | 37.1777 | + | 27.0112i | 1.74484 | + | 1.26770i | ||||
\(455\) | −18.1644 | − | 6.11993i | −0.851559 | − | 0.286907i | ||||
\(456\) | −8.37562 | + | 25.7775i | −0.392224 | + | 1.20714i | ||||
\(457\) | −6.92217 | − | 7.68784i | −0.323805 | − | 0.359622i | 0.559161 | − | 0.829059i | \(-0.311124\pi\) |
−0.882966 | + | 0.469437i | \(0.844457\pi\) | |||||||
\(458\) | −58.0253 | − | 25.8345i | −2.71134 | − | 1.20717i | ||||
\(459\) | 0.610563 | − | 5.80912i | 0.0284986 | − | 0.271146i | ||||
\(460\) | −58.8439 | − | 12.5077i | −2.74361 | − | 0.583173i | ||||
\(461\) | 15.3372 | 0.714325 | 0.357163 | − | 0.934042i | \(-0.383744\pi\) | ||||
0.357163 | + | 0.934042i | \(0.383744\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −25.1313 | −1.16795 | −0.583976 | − | 0.811771i | \(-0.698504\pi\) | ||||
−0.583976 | + | 0.811771i | \(0.698504\pi\) | |||||||
\(464\) | −8.50127 | − | 1.80700i | −0.394662 | − | 0.0838879i | ||||
\(465\) | −0.386417 | + | 3.67651i | −0.0179197 | + | 0.170494i | ||||
\(466\) | −8.68703 | − | 3.86771i | −0.402419 | − | 0.179168i | ||||
\(467\) | −0.499181 | − | 0.554397i | −0.0230994 | − | 0.0256544i | 0.731484 | − | 0.681858i | \(-0.238828\pi\) |
−0.754584 | + | 0.656204i | \(0.772161\pi\) | |||||||
\(468\) | −10.6357 | + | 32.7332i | −0.491634 | + | 1.51309i | ||||
\(469\) | −9.07820 | + | 7.99798i | −0.419192 | + | 0.369312i | ||||
\(470\) | −6.62272 | − | 4.81169i | −0.305483 | − | 0.221947i | ||||
\(471\) | 4.46024 | + | 0.948054i | 0.205517 | + | 0.0436840i | ||||
\(472\) | 34.7537 | + | 60.1951i | 1.59967 | + | 2.77070i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −4.11582 | + | 7.12881i | −0.189046 | + | 0.327437i | ||||
\(475\) | −0.300599 | − | 0.925148i | −0.0137924 | − | 0.0424487i | ||||
\(476\) | −0.179355 | + | 16.5831i | −0.00822071 | + | 0.760085i | ||||
\(477\) | 0.614087 | − | 0.446160i | 0.0281171 | − | 0.0204283i | ||||
\(478\) | −21.6735 | − | 24.0709i | −0.991323 | − | 1.10098i | ||||
\(479\) | −19.6735 | + | 4.18174i | −0.898906 | + | 0.191068i | −0.634116 | − | 0.773238i | \(-0.718636\pi\) |
−0.264790 | + | 0.964306i | \(0.585303\pi\) | |||||||
\(480\) | −3.07593 | − | 1.36949i | −0.140396 | − | 0.0625085i | ||||
\(481\) | −16.6769 | + | 7.42504i | −0.760402 | + | 0.338553i | ||||
\(482\) | 0.346822 | + | 1.06741i | 0.0157973 | + | 0.0486192i | ||||
\(483\) | −5.10482 | + | 11.1398i | −0.232277 | + | 0.506878i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.04942 | + | 3.54969i | −0.0930592 | + | 0.161183i | ||||
\(486\) | −25.1524 | + | 27.9346i | −1.14094 | + | 1.26714i | ||||
\(487\) | 0.444237 | − | 4.22664i | 0.0201303 | − | 0.191527i | −0.979835 | − | 0.199806i | \(-0.935969\pi\) |
0.999966 | + | 0.00827918i | \(0.00263538\pi\) | |||||||
\(488\) | −7.45088 | − | 70.8904i | −0.337286 | − | 3.20906i | ||||
\(489\) | −2.19287 | + | 6.74895i | −0.0991648 | + | 0.305198i | ||||
\(490\) | 30.5995 | + | 23.2594i | 1.38234 | + | 1.05075i | ||||
\(491\) | 24.5358 | − | 17.8263i | 1.10728 | − | 0.804490i | 0.125051 | − | 0.992150i | \(-0.460091\pi\) |
0.982234 | + | 0.187661i | \(0.0600906\pi\) | |||||||
\(492\) | −30.8319 | + | 13.7273i | −1.39001 | + | 0.618873i | ||||
\(493\) | −1.64576 | + | 1.82780i | −0.0741214 | + | 0.0823201i | ||||
\(494\) | −28.3156 | − | 49.0440i | −1.27398 | − | 2.20659i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.3816 | −0.555948 | ||||||||
\(497\) | 29.7680 | + | 3.45462i | 1.33528 | + | 0.154961i | ||||
\(498\) | 2.78405 | + | 2.02273i | 0.124756 | + | 0.0906409i | ||||
\(499\) | −1.50952 | − | 14.3622i | −0.0675756 | − | 0.642939i | −0.974921 | − | 0.222552i | \(-0.928561\pi\) |
0.907345 | − | 0.420387i | \(-0.138106\pi\) | |||||||
\(500\) | 46.6030 | − | 9.90578i | 2.08415 | − | 0.443000i | ||||
\(501\) | 1.35502 | − | 0.288019i | 0.0605380 | − | 0.0128677i | ||||
\(502\) | −0.291247 | − | 2.77103i | −0.0129990 | − | 0.123677i | ||||
\(503\) | −2.39325 | − | 1.73880i | −0.106710 | − | 0.0775292i | 0.533151 | − | 0.846020i | \(-0.321008\pi\) |
−0.639860 | + | 0.768491i | \(0.721008\pi\) | |||||||
\(504\) | 21.5849 | − | 29.0433i | 0.961468 | − | 1.29369i | ||||
\(505\) | −13.3267 | −0.593032 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.784595 | − | 1.35896i | −0.0348451 | − | 0.0603534i | ||||
\(508\) | 34.8215 | − | 38.6732i | 1.54496 | − | 1.71585i | ||||
\(509\) | −22.8301 | + | 10.1646i | −1.01193 | + | 0.450539i | −0.844621 | − | 0.535365i | \(-0.820174\pi\) |
−0.167307 | + | 0.985905i | \(0.553507\pi\) | |||||||
\(510\) | −4.72556 | + | 3.43332i | −0.209251 | + | 0.152030i | ||||
\(511\) | −4.95246 | + | 22.1204i | −0.219084 | + | 0.978547i | ||||
\(512\) | −14.3930 | + | 44.2970i | −0.636086 | + | 1.95767i | ||||
\(513\) | −2.83315 | − | 26.9556i | −0.125086 | − | 1.19012i | ||||
\(514\) | 5.94666 | − | 56.5787i | 0.262296 | − | 2.49558i | ||||
\(515\) | −1.56912 | + | 1.74269i | −0.0691438 | + | 0.0767919i | ||||
\(516\) | −7.90228 | + | 13.6872i | −0.347879 | + | 0.602544i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 36.4450 | − | 3.43245i | 1.60130 | − | 0.150813i | ||||
\(519\) | 1.41829 | + | 4.36506i | 0.0622562 | + | 0.191605i | ||||
\(520\) | 36.3404 | − | 16.1798i | 1.59363 | − | 0.709531i | ||||
\(521\) | 26.3678 | + | 11.7397i | 1.15519 | + | 0.514325i | 0.892719 | − | 0.450614i | \(-0.148795\pi\) |
0.262474 | + | 0.964939i | \(0.415462\pi\) | |||||||
\(522\) | 10.0120 | − | 2.12812i | 0.438215 | − | 0.0931455i | ||||
\(523\) | −0.316225 | − | 0.351203i | −0.0138276 | − | 0.0153571i | 0.736191 | − | 0.676773i | \(-0.236622\pi\) |
−0.750019 | + | 0.661416i | \(0.769956\pi\) | |||||||
\(524\) | 2.58187 | − | 1.87584i | 0.112789 | − | 0.0819463i | ||||
\(525\) | 0.00287088 | − | 0.265441i | 0.000125296 | − | 0.0115848i | ||||
\(526\) | 7.07477 | + | 21.7739i | 0.308475 | + | 0.949387i | ||||
\(527\) | −1.75195 | + | 3.03447i | −0.0763162 | + | 0.132184i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.56566 | − | 16.5682i | −0.415898 | − | 0.720357i | ||||
\(530\) | −1.63669 | − | 0.347890i | −0.0710934 | − | 0.0151114i | ||||
\(531\) | −25.5092 | − | 18.5335i | −1.10701 | − | 0.804287i | ||||
\(532\) | 15.1846 | + | 75.4408i | 0.658336 | + | 3.27077i | ||||
\(533\) | 11.4251 | − | 35.1629i | 0.494876 | − | 1.52307i | ||||
\(534\) | −3.81088 | − | 4.23241i | −0.164913 | − | 0.183154i | ||||
\(535\) | 12.7515 | + | 5.67732i | 0.551294 | + | 0.245452i | ||||
\(536\) | 2.62464 | − | 24.9718i | 0.113367 | − | 1.07862i | ||||
\(537\) | −2.50281 | − | 0.531988i | −0.108004 | − | 0.0229570i | ||||
\(538\) | −38.8904 | −1.67668 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 36.3122 | 1.56263 | ||||||||
\(541\) | 15.1217 | + | 3.21422i | 0.650134 | + | 0.138190i | 0.521162 | − | 0.853458i | \(-0.325499\pi\) |
0.128972 | + | 0.991648i | \(0.458832\pi\) | |||||||
\(542\) | 7.22373 | − | 68.7292i | 0.310286 | − | 2.95217i | ||||
\(543\) | −7.96128 | − | 3.54459i | −0.341651 | − | 0.152113i | ||||
\(544\) | −2.13544 | − | 2.37165i | −0.0915562 | − | 0.101683i | ||||
\(545\) | 1.91680 | − | 5.89931i | 0.0821068 | − | 0.252699i | ||||
\(546\) | −3.04942 | − | 15.1503i | −0.130503 | − | 0.648373i | ||||
\(547\) | −28.3512 | − | 20.5984i | −1.21221 | − | 0.880722i | −0.216780 | − | 0.976220i | \(-0.569556\pi\) |
−0.995430 | + | 0.0954983i | \(0.969556\pi\) | |||||||
\(548\) | 24.0217 | + | 5.10598i | 1.02616 | + | 0.218116i | ||||
\(549\) | 16.1679 | + | 28.0035i | 0.690027 | + | 1.19516i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5.70644 | + | 9.88384i | −0.243102 | + | 0.421066i | ||||
\(552\) | −7.85855 | − | 24.1861i | −0.334482 | − | 1.02943i | ||||
\(553\) | −0.132523 | + | 12.2530i | −0.00563544 | + | 0.521051i | ||||
\(554\) | 29.8492 | − | 21.6867i | 1.26817 | − | 0.921379i | ||||
\(555\) | 5.84622 | + | 6.49289i | 0.248158 | + | 0.275608i | ||||
\(556\) | −22.9188 | + | 4.87154i | −0.971973 | + | 0.206599i | ||||
\(557\) | −9.62205 | − | 4.28401i | −0.407699 | − | 0.181519i | 0.192632 | − | 0.981271i | \(-0.438298\pi\) |
−0.600331 | + | 0.799752i | \(0.704964\pi\) | |||||||
\(558\) | 13.3212 | − | 5.93099i | 0.563932 | − | 0.251079i | ||||
\(559\) | −5.35023 | − | 16.4663i | −0.226291 | − | 0.696451i | ||||
\(560\) | −30.5903 | + | 2.88104i | −1.29268 | + | 0.121746i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 18.9588 | − | 32.8376i | 0.799729 | − | 1.38517i | ||||
\(563\) | 20.5521 | − | 22.8255i | 0.866170 | − | 0.961979i | −0.133407 | − | 0.991061i | \(-0.542592\pi\) |
0.999577 | + | 0.0290823i | \(0.00925849\pi\) | |||||||
\(564\) | 0.467513 | − | 4.44809i | 0.0196859 | − | 0.187298i | ||||
\(565\) | 2.93877 | + | 27.9605i | 0.123635 | + | 1.17631i | ||||
\(566\) | −16.7162 | + | 51.4472i | −0.702634 | + | 2.16249i | ||||
\(567\) | −2.70348 | + | 12.0752i | −0.113536 | + | 0.507112i | ||||
\(568\) | −50.3157 | + | 36.5565i | −2.11120 | + | 1.53388i | ||||
\(569\) | 28.1117 | − | 12.5161i | 1.17850 | − | 0.524704i | 0.278437 | − | 0.960455i | \(-0.410184\pi\) |
0.900067 | + | 0.435751i | \(0.143517\pi\) | |||||||
\(570\) | −18.1362 | + | 20.1422i | −0.759640 | + | 0.843666i | ||||
\(571\) | −3.75847 | − | 6.50986i | −0.157287 | − | 0.272429i | 0.776602 | − | 0.629991i | \(-0.216941\pi\) |
−0.933889 | + | 0.357562i | \(0.883608\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −8.64045 | −0.360960 | ||||||||
\(574\) | −44.2241 | + | 59.5051i | −1.84588 | + | 2.48370i | ||||
\(575\) | 0.738394 | + | 0.536475i | 0.0307932 | + | 0.0223725i | ||||
\(576\) | −1.35505 | − | 12.8924i | −0.0564604 | − | 0.537185i | ||||
\(577\) | −27.0149 | + | 5.74220i | −1.12465 | + | 0.239051i | −0.732443 | − | 0.680828i | \(-0.761620\pi\) |
−0.392202 | + | 0.919879i | \(0.628287\pi\) | |||||||
\(578\) | 36.0040 | − | 7.65288i | 1.49757 | − | 0.318318i | ||||
\(579\) | 0.890541 | + | 8.47293i | 0.0370096 | + | 0.352123i | ||||
\(580\) | −12.3700 | − | 8.98735i | −0.513638 | − | 0.373179i | ||||
\(581\) | 5.08858 | + | 0.590539i | 0.211110 | + | 0.0244997i | ||||
\(582\) | −3.30473 | −0.136986 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −23.5220 | − | 40.7413i | −0.973348 | − | 1.68589i | ||||
\(585\) | −12.0748 | + | 13.4104i | −0.499232 | + | 0.554453i | ||||
\(586\) | −25.3210 | + | 11.2736i | −1.04600 | + | 0.465709i | ||||
\(587\) | 24.2367 | − | 17.6090i | 1.00036 | − | 0.726801i | 0.0381915 | − | 0.999270i | \(-0.487840\pi\) |
0.962164 | + | 0.272469i | \(0.0878403\pi\) | |||||||
\(588\) | −2.64629 | + | 20.8326i | −0.109131 | + | 0.859122i | ||||
\(589\) | −5.02427 | + | 15.4631i | −0.207022 | + | 0.637147i | ||||
\(590\) | 7.26549 | + | 69.1265i | 0.299116 | + | 2.84589i | ||||
\(591\) | −0.907149 | + | 8.63095i | −0.0373151 | + | 0.355030i | ||||
\(592\) | −19.5807 | + | 21.7466i | −0.804763 | + | 0.893780i | ||||
\(593\) | 6.33401 | − | 10.9708i | 0.260107 | − | 0.450518i | −0.706163 | − | 0.708049i | \(-0.749576\pi\) |
0.966270 | + | 0.257531i | \(0.0829089\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.62234 | + | 7.90471i | −0.148502 | + | 0.324062i | ||||
\(596\) | 1.29923 | + | 3.99862i | 0.0532186 | + | 0.163790i | ||||
\(597\) | −1.24171 | + | 0.552844i | −0.0508197 | + | 0.0226264i | ||||
\(598\) | 48.5413 | + | 21.6120i | 1.98500 | + | 0.883779i | ||||
\(599\) | −1.26598 | + | 0.269093i | −0.0517267 | + | 0.0109948i | −0.233702 | − | 0.972308i | \(-0.575084\pi\) |
0.181976 | + | 0.983303i | \(0.441751\pi\) | |||||||
\(600\) | 0.368635 | + | 0.409411i | 0.0150495 | + | 0.0167141i | ||||
\(601\) | −33.1875 | + | 24.1121i | −1.35375 | + | 0.983554i | −0.354931 | + | 0.934892i | \(0.615496\pi\) |
−0.998815 | + | 0.0486619i | \(0.984504\pi\) | |||||||
\(602\) | −0.375476 | + | 34.7164i | −0.0153032 | + | 1.41494i | ||||
\(603\) | 3.51987 | + | 10.8330i | 0.143340 | + | 0.441155i | ||||
\(604\) | 31.1990 | − | 54.0383i | 1.26947 | − | 2.19879i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −5.37242 | − | 9.30531i | −0.218240 | − | 0.378002i | ||||
\(607\) | −20.7141 | − | 4.40291i | −0.840758 | − | 0.178709i | −0.232647 | − | 0.972561i | \(-0.574739\pi\) |
−0.608110 | + | 0.793853i | \(0.708072\pi\) | |||||||
\(608\) | −11.9804 | − | 8.70430i | −0.485871 | − | 0.353006i | ||||
\(609\) | −2.33691 | + | 2.05883i | −0.0946962 | + | 0.0834282i | ||||
\(610\) | 22.0270 | − | 67.7922i | 0.891847 | − | 2.74482i | ||||
\(611\) | 3.27852 | + | 3.64116i | 0.132635 | + | 0.147306i | ||||
\(612\) | 14.2634 | + | 6.35046i | 0.576563 | + | 0.256702i | ||||
\(613\) | 0.706939 | − | 6.72607i | 0.0285530 | − | 0.271664i | −0.970926 | − | 0.239381i | \(-0.923056\pi\) |
0.999479 | − | 0.0322828i | \(-0.0102777\pi\) | |||||||
\(614\) | 60.8754 | + | 12.9395i | 2.45673 | + | 0.522194i | ||||
\(615\) | −17.6953 | −0.713542 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −41.0728 | −1.65353 | −0.826763 | − | 0.562550i | \(-0.809820\pi\) | ||||
−0.826763 | + | 0.562550i | \(0.809820\pi\) | |||||||
\(618\) | −1.84938 | − | 0.393098i | −0.0743930 | − | 0.0158127i | ||||
\(619\) | 3.18046 | − | 30.2601i | 0.127834 | − | 1.21625i | −0.723011 | − | 0.690837i | \(-0.757242\pi\) |
0.850844 | − | 0.525418i | \(-0.176091\pi\) | |||||||
\(620\) | −19.8994 | − | 8.85977i | −0.799177 | − | 0.355817i | ||||
\(621\) | 17.0165 | + | 18.8988i | 0.682850 | + | 0.758382i | ||||
\(622\) | 26.7406 | − | 82.2992i | 1.07220 | − | 3.29990i | ||||
\(623\) | −8.03430 | − | 2.70691i | −0.321887 | − | 0.108450i | ||||
\(624\) | 9.99458 | + | 7.26149i | 0.400104 | + | 0.290692i | ||||
\(625\) | 23.7466 | + | 5.04751i | 0.949866 | + | 0.201900i | ||||
\(626\) | −29.5285 | − | 51.1449i | −1.18020 | − | 2.04416i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −13.4342 | + | 23.2687i | −0.536082 | + | 0.928521i | ||||
\(629\) | 2.55904 | + | 7.87592i | 0.102036 | + | 0.314033i | ||||
\(630\) | 31.5318 | − | 17.7530i | 1.25626 | − | 0.707296i | ||||
\(631\) | −10.0051 | + | 7.26915i | −0.398298 | + | 0.289380i | −0.768847 | − | 0.639432i | \(-0.779169\pi\) |
0.370549 | + | 0.928813i | \(0.379169\pi\) | |||||||
\(632\) | −17.0165 | − | 18.8988i | −0.676881 | − | 0.751753i | ||||
\(633\) | 11.3379 | − | 2.40995i | 0.450641 | − | 0.0957867i | ||||
\(634\) | 44.7753 | + | 19.9353i | 1.77826 | + | 0.791730i | ||||
\(635\) | 24.9261 | − | 11.0978i | 0.989160 | − | 0.440403i | ||||
\(636\) | −0.282505 | − | 0.869460i | −0.0112020 | − | 0.0344763i | ||||
\(637\) | −15.0201 | − | 17.4252i | −0.595120 | − | 0.690410i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 14.1067 | − | 24.4335i | 0.558052 | − | 0.966574i | ||||
\(640\) | −25.4365 | + | 28.2501i | −1.00546 | + | 1.11668i | ||||
\(641\) | 4.92656 | − | 46.8731i | 0.194588 | − | 1.85138i | −0.266265 | − | 0.963900i | \(-0.585789\pi\) |
0.460852 | − | 0.887477i | \(-0.347544\pi\) | |||||||
\(642\) | 1.17636 | + | 11.1923i | 0.0464273 | + | 0.441726i | ||||
\(643\) | 0.578611 | − | 1.78078i | 0.0228182 | − | 0.0702272i | −0.938999 | − | 0.343920i | \(-0.888245\pi\) |
0.961817 | + | 0.273693i | \(0.0882451\pi\) | |||||||
\(644\) | −53.1317 | − | 48.8908i | −2.09368 | − | 1.92657i | ||||
\(645\) | −6.70389 | + | 4.87066i | −0.263965 | + | 0.191782i | ||||
\(646\) | −23.4690 | + | 10.4491i | −0.923376 | + | 0.411113i | ||||
\(647\) | −1.22844 | + | 1.36432i | −0.0482951 | + | 0.0536371i | −0.766808 | − | 0.641876i | \(-0.778156\pi\) |
0.718513 | + | 0.695513i | \(0.244823\pi\) | |||||||
\(648\) | −12.8404 | − | 22.2402i | −0.504417 | − | 0.873676i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −1.15108 | −0.0451492 | ||||||||
\(651\) | −2.64662 | + | 3.56112i | −0.103729 | + | 0.139571i | ||||
\(652\) | −33.8279 | − | 24.5774i | −1.32480 | − | 0.962525i | ||||
\(653\) | 1.90003 | + | 18.0776i | 0.0743539 | + | 0.707430i | 0.966671 | + | 0.256021i | \(0.0824118\pi\) |
−0.892317 | + | 0.451409i | \(0.850922\pi\) | |||||||
\(654\) | 4.89188 | − | 1.03980i | 0.191288 | − | 0.0406594i | ||||
\(655\) | 1.63669 | − | 0.347890i | 0.0639509 | − | 0.0135932i | ||||
\(656\) | −6.19506 | − | 58.9420i | −0.241876 | − | 2.30130i | ||||
\(657\) | 17.2652 | + | 12.5439i | 0.673579 | + | 0.489384i | ||||
\(658\) | −3.89892 | − | 9.01837i | −0.151996 | − | 0.351573i | ||||
\(659\) | 16.8997 | 0.658318 | 0.329159 | − | 0.944275i | \(-0.393235\pi\) | ||||
0.329159 | + | 0.944275i | \(0.393235\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.6516 | + | 39.2338i | 0.881046 | + | 1.52602i | 0.850180 | + | 0.526493i | \(0.176493\pi\) |
0.0308661 | + | 0.999524i | \(0.490173\pi\) | |||||||
\(662\) | −46.9844 | + | 52.1815i | −1.82610 | + | 2.02809i | ||||
\(663\) | 3.19384 | − | 1.42199i | 0.124039 | − | 0.0552256i | ||||
\(664\) | −8.60105 | + | 6.24903i | −0.333785 | + | 0.242509i | ||||
\(665\) | −8.81504 | + | 39.3728i | −0.341833 | + | 1.52681i | ||||
\(666\) | 10.6497 | − | 32.7765i | 0.412669 | − | 1.27006i | ||||
\(667\) | −1.11932 | − | 10.6496i | −0.0433403 | − | 0.412356i | ||||
\(668\) | −0.853226 | + | 8.11791i | −0.0330123 | + | 0.314091i | ||||
\(669\) | −1.44980 | + | 1.61016i | −0.0560525 | + | 0.0622526i | ||||
\(670\) | 12.5547 | − | 21.7453i | 0.485028 | − | 0.840094i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −2.33983 | − | 3.29485i | −0.0902609 | − | 0.127102i | ||||
\(673\) | −12.2085 | − | 37.5740i | −0.470604 | − | 1.44837i | −0.851795 | − | 0.523875i | \(-0.824486\pi\) |
0.381191 | − | 0.924496i | \(-0.375514\pi\) | |||||||
\(674\) | −49.4834 | + | 22.0314i | −1.90603 | + | 0.848619i | ||||
\(675\) | −0.503287 | − | 0.224078i | −0.0193715 | − | 0.00862476i | ||||
\(676\) | 9.04413 | − | 1.92239i | 0.347851 | − | 0.0739380i | ||||
\(677\) | 22.8400 | + | 25.3664i | 0.877813 | + | 0.974911i | 0.999845 | − | 0.0176157i | \(-0.00560753\pi\) |
−0.122031 | + | 0.992526i | \(0.538941\pi\) | |||||||
\(678\) | −18.3385 | + | 13.3237i | −0.704288 | + | 0.511695i | ||||
\(679\) | −4.28674 | + | 2.41352i | −0.164510 | + | 0.0926223i | ||||
\(680\) | −5.57637 | − | 17.1623i | −0.213844 | − | 0.658144i | ||||
\(681\) | −6.58206 | + | 11.4005i | −0.252225 | + | 0.436867i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −11.8931 | − | 20.5995i | −0.455079 | − | 0.788219i | 0.543614 | − | 0.839335i | \(-0.317056\pi\) |
−0.998693 | + | 0.0511160i | \(0.983722\pi\) | |||||||
\(684\) | 70.8656 | + | 15.0629i | 2.70961 | + | 0.575946i | ||||
\(685\) | 10.4170 | + | 7.56842i | 0.398014 | + | 0.289174i | ||||
\(686\) | 17.3864 | + | 42.7297i | 0.663815 | + | 1.63143i | ||||
\(687\) | 5.62259 | − | 17.3046i | 0.214515 | − | 0.660210i | ||||
\(688\) | −18.5709 | − | 20.6251i | −0.708010 | − | 0.786325i | ||||
\(689\) | 0.914915 | + | 0.407347i | 0.0348555 | + | 0.0155187i | ||||
\(690\) | 2.65824 | − | 25.2915i | 0.101198 | − | 0.962831i | ||||
\(691\) | 20.1131 | + | 4.27517i | 0.765139 | + | 0.162635i | 0.573919 | − | 0.818912i | \(-0.305422\pi\) |
0.191220 | + | 0.981547i | \(0.438756\pi\) | |||||||
\(692\) | −27.0440 | −1.02806 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.81761 | 0.372671 | ||||||||
\(695\) | −12.0165 | − | 2.55419i | −0.455812 | − | 0.0968858i | ||||
\(696\) | 0.675632 | − | 6.42821i | 0.0256098 | − | 0.243661i | ||||
\(697\) | −15.3221 | − | 6.82182i | −0.580365 | − | 0.258395i | ||||
\(698\) | 23.5162 | + | 26.1173i | 0.890100 | + | 0.988556i | ||||
\(699\) | 0.841764 | − | 2.59068i | 0.0318385 | − | 0.0979887i | ||||
\(700\) | 1.48229 | + | 0.499412i | 0.0560253 | + | 0.0188760i | ||||
\(701\) | −19.4089 | − | 14.1014i | −0.733063 | − | 0.532602i | 0.157468 | − | 0.987524i | \(-0.449667\pi\) |
−0.890531 | + | 0.454922i | \(0.849667\pi\) | |||||||
\(702\) | −31.3719 | − | 6.66830i | −1.18406 | − | 0.251679i | ||||
\(703\) | 19.2134 | + | 33.2785i | 0.724646 | + | 1.25512i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.17251 | − | 2.03084i | 0.0441592 | − | 0.0764860i | ||||
\(706\) | −3.82450 | − | 11.7706i | −0.143937 | − | 0.442992i | ||||
\(707\) | −13.7647 | − | 8.14680i | −0.517675 | − | 0.306392i | ||||
\(708\) | −30.7234 | + | 22.3218i | −1.15465 | + | 0.838906i | ||||
\(709\) | −34.6019 | − | 38.4293i | −1.29950 | − | 1.44324i | −0.827310 | − | 0.561746i | \(-0.810130\pi\) |
−0.472191 | − | 0.881496i | \(-0.656537\pi\) | |||||||
\(710\) | −60.8345 | + | 12.9308i | −2.28308 | + | 0.485283i | ||||
\(711\) | 10.5390 | + | 4.69227i | 0.395244 | + | 0.175974i | ||||
\(712\) | 16.0738 | − | 7.15650i | 0.602390 | − | 0.268201i | ||||
\(713\) | −4.71410 | − | 14.5085i | −0.176544 | − | 0.543348i | ||||
\(714\) | −6.97969 | + | 0.657359i | −0.261208 | + | 0.0246010i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 7.53841 | − | 13.0569i | 0.281724 | − | 0.487960i | ||||
\(717\) | 6.20863 | − | 6.89539i | 0.231866 | − | 0.257513i | ||||
\(718\) | −1.06010 | + | 10.0862i | −0.0395628 | + | 0.376414i | ||||
\(719\) | −2.69528 | − | 25.6439i | −0.100517 | − | 0.956355i | −0.922279 | − | 0.386525i | \(-0.873675\pi\) |
0.821762 | − | 0.569831i | \(-0.192991\pi\) | |||||||
\(720\) | −8.93891 | + | 27.5111i | −0.333133 | + | 1.02528i | ||||
\(721\) | −2.68602 | + | 0.840734i | −0.100032 | + | 0.0313106i | ||||
\(722\) | −58.1530 | + | 42.2506i | −2.16423 | + | 1.57241i | ||||
\(723\) | −0.293712 | + | 0.130769i | −0.0109233 | + | 0.00486336i | ||||
\(724\) | 34.3598 | − | 38.1604i | 1.27697 | − | 1.41822i | ||||
\(725\) | 0.115989 | + | 0.200899i | 0.00430772 | + | 0.00746118i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 32.7330 | 1.21400 | 0.606999 | − | 0.794702i | \(-0.292373\pi\) | ||||
0.606999 | + | 0.794702i | \(0.292373\pi\) | |||||||
\(728\) | 47.4256 | + | 5.50383i | 1.75771 | + | 0.203985i | ||||
\(729\) | 2.63979 | + | 1.91792i | 0.0977698 | + | 0.0710340i | ||||
\(730\) | −4.91744 | − | 46.7863i | −0.182003 | − | 1.73164i | ||||
\(731\) | −7.68252 | + | 1.63297i | −0.284148 | + | 0.0603976i | ||||
\(732\) | 38.0941 | − | 8.09716i | 1.40800 | − | 0.299280i | ||||
\(733\) | −0.970309 | − | 9.23188i | −0.0358392 | − | 0.340987i | −0.997718 | − | 0.0675125i | \(-0.978494\pi\) |
0.961879 | − | 0.273475i | \(-0.0881729\pi\) | |||||||
\(734\) | 36.3171 | + | 26.3859i | 1.34049 | + | 0.973921i | ||||
\(735\) | −5.71018 | + | 9.41405i | −0.210623 | + | 0.347242i | ||||
\(736\) | 13.8944 | 0.512156 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 34.8995 | + | 60.4477i | 1.28467 | + | 2.22511i | ||||
\(739\) | 33.5189 | − | 37.2266i | 1.23301 | − | 1.36940i | 0.327631 | − | 0.944806i | \(-0.393750\pi\) |
0.905383 | − | 0.424595i | \(-0.139583\pi\) | |||||||
\(740\) | −47.0307 | + | 20.9394i | −1.72888 | + | 0.769749i | ||||
\(741\) | 13.1244 | − | 9.53545i | 0.482138 | − | 0.350293i | ||||
\(742\) | −1.47781 | − | 1.35985i | −0.0542522 | − | 0.0499218i | ||||
\(743\) | −4.06909 | + | 12.5234i | −0.149280 | + | 0.459438i | −0.997537 | − | 0.0701482i | \(-0.977653\pi\) |
0.848256 | + | 0.529586i | \(0.177653\pi\) | |||||||
\(744\) | −0.962512 | − | 9.15769i | −0.0352874 | − | 0.335737i | ||||
\(745\) | −0.230423 | + | 2.19233i | −0.00844203 | + | 0.0803206i | ||||
\(746\) | −48.1954 | + | 53.5264i | −1.76456 | + | 1.95974i | ||||
\(747\) | 2.41142 | − | 4.17670i | 0.0882293 | − | 0.152818i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 9.69992 | + | 13.6590i | 0.354427 | + | 0.499090i | ||||
\(750\) | 6.22379 | + | 19.1549i | 0.227261 | + | 0.699437i | ||||
\(751\) | 37.7419 | − | 16.8038i | 1.37722 | − | 0.613179i | 0.421334 | − | 0.906906i | \(-0.361562\pi\) |
0.955890 | + | 0.293726i | \(0.0948955\pi\) | |||||||
\(752\) | 7.17512 | + | 3.19457i | 0.261650 | + | 0.116494i | ||||
\(753\) | 0.780726 | − | 0.165948i | 0.0284512 | − | 0.00604750i | ||||
\(754\) | 9.03665 | + | 10.0362i | 0.329096 | + | 0.365498i | ||||
\(755\) | 26.4676 | − | 19.2298i | 0.963255 | − | 0.699846i | ||||
\(756\) | 37.5056 | + | 22.1981i | 1.36406 | + | 0.807337i | ||||
\(757\) | −14.0638 | − | 43.2839i | −0.511157 | − | 1.57318i | −0.790167 | − | 0.612891i | \(-0.790006\pi\) |
0.279010 | − | 0.960288i | \(-0.409994\pi\) | |||||||
\(758\) | −5.36591 | + | 9.29402i | −0.194898 | + | 0.337574i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −41.8676 | − | 72.5168i | −1.51870 | − | 2.63046i | ||||
\(761\) | 30.5886 | + | 6.50180i | 1.10883 | + | 0.235690i | 0.725706 | − | 0.688005i | \(-0.241513\pi\) |
0.383128 | + | 0.923695i | \(0.374847\pi\) | |||||||
\(762\) | 17.7974 | + | 12.9306i | 0.644733 | + | 0.468426i | ||||
\(763\) | 5.58612 | − | 4.92142i | 0.202231 | − | 0.178167i | ||||
\(764\) | 15.7328 | − | 48.4205i | 0.569192 | − | 1.75179i | ||||
\(765\) | 5.47759 | + | 6.08348i | 0.198043 | + | 0.219949i | ||||
\(766\) | −28.0998 | − | 12.5108i | −1.01529 | − | 0.452035i | ||||
\(767\) | 4.34864 | − | 41.3745i | 0.157020 | − | 1.49395i | ||||
\(768\) | −22.7149 | − | 4.82820i | −0.819653 | − | 0.174223i | ||||
\(769\) | −42.0467 | −1.51624 | −0.758121 | − | 0.652114i | \(-0.773882\pi\) | ||||
−0.758121 | + | 0.652114i | \(0.773882\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 16.2969 | 0.586920 | ||||||||
\(772\) | −49.1033 | − | 10.4372i | −1.76727 | − | 0.375644i | ||||
\(773\) | −0.799069 | + | 7.60264i | −0.0287405 | + | 0.273448i | 0.970709 | + | 0.240260i | \(0.0772327\pi\) |
−0.999449 | + | 0.0331880i | \(0.989434\pi\) | |||||||
\(774\) | 29.8601 | + | 13.2946i | 1.07330 | + | 0.477864i | ||||
\(775\) | 0.221133 | + | 0.245593i | 0.00794332 | + | 0.00882195i | ||||
\(776\) | 3.15495 | − | 9.70994i | 0.113256 | − | 0.348567i | ||||
\(777\) | 2.06917 | + | 10.2801i | 0.0742311 | + | 0.368798i | ||||
\(778\) | −59.2918 | − | 43.0780i | −2.12571 | − | 1.54442i | ||||
\(779\) | −76.1256 | − | 16.1810i | −2.72748 | − | 0.579744i | ||||
\(780\) | 10.8670 | + | 18.8222i | 0.389102 | + | 0.673944i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 12.0520 | − | 20.8747i | 0.430980 | − | 0.746479i | ||||
\(783\) | 1.99737 | + | 6.14727i | 0.0713801 | + | 0.219685i | ||||
\(784\) | −33.3568 | − | 15.7245i | −1.19131 | − | 0.561589i | ||||
\(785\) | −11.3969 | + | 8.28030i | −0.406771 | + | 0.295537i | ||||
\(786\) | 0.902714 | + | 1.00256i | 0.0321987 | + | 0.0357603i | ||||
\(787\) | −27.2936 | + | 5.80144i | −0.972913 | + | 0.206799i | −0.666834 | − | 0.745207i | \(-0.732351\pi\) |
−0.306080 | + | 0.952006i | \(0.599017\pi\) | |||||||
\(788\) | −46.7156 | − | 20.7991i | −1.66417 | − | 0.740937i | ||||
\(789\) | −5.99138 | + | 2.66754i | −0.213299 | + | 0.0949668i | ||||
\(790\) | −7.85855 | − | 24.1861i | −0.279595 | − | 0.860504i | ||||
\(791\) | −14.0573 | + | 30.6759i | −0.499819 | + | 1.09071i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −21.3320 | + | 36.9481i | −0.757521 | + | 1.31206i | ||||
\(794\) | −28.8333 | + | 32.0226i | −1.02326 | + | 1.13644i | ||||
\(795\) | 0.0501031 | − | 0.476699i | 0.00177697 | − | 0.0169068i | ||||
\(796\) | −0.837165 | − | 7.96510i | −0.0296725 | − | 0.282315i | ||||
\(797\) | 3.10747 | − | 9.56381i | 0.110072 | − | 0.338767i | −0.880815 | − | 0.473460i | \(-0.843005\pi\) |
0.990887 | + | 0.134693i | \(0.0430047\pi\) | |||||||
\(798\) | −31.0454 | + | 9.71734i | −1.09900 | + | 0.343990i | ||||
\(799\) | 1.79818 | − | 1.30646i | 0.0636151 | − | 0.0462191i | ||||
\(800\) | −0.274977 | + | 0.122428i | −0.00972191 | + | 0.00432847i | ||||
\(801\) | −5.34082 | + | 5.93158i | −0.188709 | + | 0.209582i | ||||
\(802\) | 31.0740 | + | 53.8218i | 1.09726 | + | 1.90051i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 13.7188 | 0.483824 | ||||||||
\(805\) | −15.0228 | − | 34.7483i | −0.529483 | − | 1.22472i | ||||
\(806\) | 15.5650 | + | 11.3087i | 0.548255 | + | 0.398331i | ||||
\(807\) | −1.16451 | − | 11.0796i | −0.0409927 | − | 0.390020i | ||||
\(808\) | 32.4697 | − | 6.90165i | 1.14228 | − | 0.242799i | ||||
\(809\) | 37.7297 | − | 8.01969i | 1.32651 | − | 0.281957i | 0.510438 | − | 0.859915i | \(-0.329483\pi\) |
0.816067 | + | 0.577957i | \(0.196150\pi\) | |||||||
\(810\) | −2.68437 | − | 25.5400i | −0.0943190 | − | 0.897386i | ||||
\(811\) | 10.0124 | + | 7.27443i | 0.351583 | + | 0.255440i | 0.749533 | − | 0.661967i | \(-0.230278\pi\) |
−0.397950 | + | 0.917407i | \(0.630278\pi\) | |||||||
\(812\) | −7.28248 | − | 16.8447i | −0.255565 | − | 0.591132i | ||||
\(813\) | 19.7968 | 0.694303 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −10.9616 | − | 18.9860i | −0.383968 | − | 0.665051i | ||||
\(816\) | 3.74997 | − | 4.16476i | 0.131275 | − | 0.145796i | ||||
\(817\) | −33.2942 | + | 14.8235i | −1.16482 | + | 0.518609i | ||||
\(818\) | −77.7010 | + | 56.4531i | −2.71675 | + | 1.97383i | ||||
\(819\) | −20.6696 | + | 6.46967i | −0.722254 | + | 0.226069i | ||||
\(820\) | 32.2201 | − | 99.1632i | 1.12517 | − | 3.46293i | ||||
\(821\) | 3.10848 | + | 29.5752i | 0.108487 | + | 1.03218i | 0.904375 | + | 0.426738i | \(0.140338\pi\) |
−0.795888 | + | 0.605443i | \(0.792996\pi\) | |||||||
\(822\) | −1.08517 | + | 10.3247i | −0.0378496 | + | 0.360115i | ||||
\(823\) | 27.2851 | − | 30.3032i | 0.951100 | − | 1.05630i | −0.0472501 | − | 0.998883i | \(-0.515046\pi\) |
0.998350 | − | 0.0574204i | \(-0.0182875\pi\) | |||||||
\(824\) | 2.92056 | − | 5.05855i | 0.101742 | − | 0.176223i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −34.7537 | + | 75.8398i | −1.20923 | + | 2.63880i | ||||
\(827\) | 5.82222 | + | 17.9190i | 0.202459 | + | 0.623103i | 0.999808 | + | 0.0195857i | \(0.00623473\pi\) |
−0.797350 | + | 0.603518i | \(0.793765\pi\) | |||||||
\(828\) | −62.0993 | + | 27.6484i | −2.15810 | + | 0.960848i | ||||
\(829\) | −28.4484 | − | 12.6660i | −0.988053 | − | 0.439909i | −0.151894 | − | 0.988397i | \(-0.548537\pi\) |
−0.836159 | + | 0.548487i | \(0.815204\pi\) | |||||||
\(830\) | −10.3992 | + | 2.21041i | −0.360960 | + | 0.0767244i | ||||
\(831\) | 7.07217 | + | 7.85444i | 0.245331 | + | 0.272467i | ||||
\(832\) | 13.8375 | − | 10.0535i | 0.479728 | − | 0.348543i | ||||
\(833\) | −8.57364 | + | 5.95011i | −0.297059 | + | 0.206159i | ||||
\(834\) | −3.06078 | − | 9.42012i | −0.105986 | − | 0.326192i | ||||
\(835\) | −2.13986 | + | 3.70635i | −0.0740530 | + | 0.128264i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 4.60407 | + | 7.97448i | 0.159140 | + | 0.275638i | ||||
\(838\) | −2.21464 | − | 0.470737i | −0.0765036 | − | 0.0162613i | ||||
\(839\) | −8.29961 | − | 6.03002i | −0.286534 | − | 0.208179i | 0.435228 | − | 0.900320i | \(-0.356668\pi\) |
−0.721763 | + | 0.692141i | \(0.756668\pi\) | |||||||
\(840\) | −4.50890 | − | 22.4013i | −0.155572 | − | 0.772919i | ||||
\(841\) | −8.12045 | + | 24.9922i | −0.280015 | + | 0.861799i | ||||
\(842\) | 25.9226 | + | 28.7900i | 0.893353 | + | 0.992169i | ||||
\(843\) | 9.92289 | + | 4.41796i | 0.341762 | + | 0.152162i | ||||
\(844\) | −7.13921 | + | 67.9250i | −0.245742 | + | 2.33808i | ||||
\(845\) | 4.74191 | + | 1.00792i | 0.163127 | + | 0.0346736i | ||||
\(846\) | −9.24992 | −0.318019 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.60540 | 0.0551297 | ||||||||
\(849\) | −15.1575 | − | 3.22182i | −0.520203 | − | 0.110573i | ||||
\(850\) | −0.0545821 | + | 0.519314i | −0.00187215 | + | 0.0178123i | ||||
\(851\) | −32.9374 | − | 14.6647i | −1.12908 | − | 0.502699i | ||||
\(852\) | −22.7372 | − | 25.2522i | −0.778964 | − | 0.865127i | ||||
\(853\) | −0.940756 | + | 2.89535i | −0.0322109 | + | 0.0991348i | −0.965869 | − | 0.259030i | \(-0.916597\pi\) |
0.933659 | + | 0.358164i | \(0.116597\pi\) | |||||||
\(854\) | 64.1931 | − | 56.5547i | 2.19664 | − | 1.93526i | ||||
\(855\) | 30.7309 | + | 22.3273i | 1.05097 | + | 0.763577i | ||||
\(856\) | −34.0083 | − | 7.22868i | −1.16238 | − | 0.247071i | ||||
\(857\) | 24.7766 | + | 42.9143i | 0.846352 | + | 1.46592i | 0.884442 | + | 0.466650i | \(0.154539\pi\) |
−0.0380904 | + | 0.999274i | \(0.512127\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −18.4373 | + | 31.9344i | −0.629074 | + | 1.08959i | 0.358664 | + | 0.933467i | \(0.383232\pi\) |
−0.987738 | + | 0.156121i | \(0.950101\pi\) | |||||||
\(860\) | −15.0882 | − | 46.4368i | −0.514505 | − | 1.58348i | ||||
\(861\) | −18.2768 | − | 10.8173i | −0.622872 | − | 0.368654i | ||||
\(862\) | 7.12634 | − | 5.17759i | 0.242724 | − | 0.176349i | ||||
\(863\) | −31.0631 | − | 34.4990i | −1.05740 | − | 1.17436i | −0.984203 | − | 0.177043i | \(-0.943347\pi\) |
−0.0731955 | − | 0.997318i | \(-0.523320\pi\) | |||||||
\(864\) | −8.20352 | + | 1.74371i | −0.279090 | + | 0.0593223i | ||||
\(865\) | −12.9535 | − | 5.76728i | −0.440433 | − | 0.196093i | ||||
\(866\) | 40.1531 | − | 17.8773i | 1.36446 | − | 0.607495i | ||||
\(867\) | 3.25833 | + | 10.0281i | 0.110659 | + | 0.340573i | ||||
\(868\) | −15.1372 | − | 21.3157i | −0.513792 | − | 0.723501i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 3.23181 | − | 5.59766i | 0.109569 | − | 0.189778i | ||||
\(871\) | −10.0562 | + | 11.1685i | −0.340741 | + | 0.378431i | ||||
\(872\) | −1.61503 | + | 15.3659i | −0.0546917 | + | 0.520356i | ||||
\(873\) | 0.484121 | + | 4.60611i | 0.0163850 | + | 0.155893i | ||||
\(874\) | 34.5630 | − | 106.374i | 1.16911 | − | 3.59815i | ||||
\(875\) | 22.0624 | + | 20.3014i | 0.745845 | + | 0.686312i | ||||
\(876\) | 20.7942 | − | 15.1079i | 0.702572 | − | 0.510448i | ||||
\(877\) | −35.6566 | + | 15.8753i | −1.20404 | + | 0.536072i | −0.907946 | − | 0.419088i | \(-0.862350\pi\) |
−0.296091 | + | 0.955160i | \(0.595683\pi\) | |||||||
\(878\) | −25.0461 | + | 27.8165i | −0.845265 | + | 0.938762i | ||||
\(879\) | −3.96997 | − | 6.87620i | −0.133904 | − | 0.231928i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −44.0049 | −1.48256 | −0.741281 | − | 0.671194i | \(-0.765782\pi\) | ||||
−0.741281 | + | 0.671194i | \(0.765782\pi\) | |||||||
\(882\) | 43.4207 | + | 0.939343i | 1.46205 | + | 0.0316293i | ||||
\(883\) | 18.8983 | + | 13.7304i | 0.635978 | + | 0.462065i | 0.858466 | − | 0.512871i | \(-0.171418\pi\) |
−0.222488 | + | 0.974935i | \(0.571418\pi\) | |||||||
\(884\) | 2.15330 | + | 20.4873i | 0.0724234 | + | 0.689063i | ||||
\(885\) | −19.4761 | + | 4.13977i | −0.654682 | + | 0.139157i | ||||
\(886\) | −32.2162 | + | 6.84775i | −1.08232 | + | 0.230055i | ||||
\(887\) | 4.38158 | + | 41.6880i | 0.147119 | + | 1.39975i | 0.780137 | + | 0.625608i | \(0.215149\pi\) |
−0.633018 | + | 0.774137i | \(0.718184\pi\) | |||||||
\(888\) | −17.6065 | − | 12.7918i | −0.590834 | − | 0.429266i | ||||
\(889\) | 32.5294 | + | 3.77510i | 1.09100 | + | 0.126613i | ||||
\(890\) | 17.5949 | 0.589783 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −6.38343 | − | 11.0564i | −0.213733 | − | 0.370196i | ||||
\(893\) | 6.90122 | − | 7.66458i | 0.230940 | − | 0.256485i | ||||
\(894\) | −1.62367 | + | 0.722903i | −0.0543036 | + | 0.0241775i | ||||
\(895\) | 6.39520 | − | 4.64638i | 0.213768 | − | 0.155311i | ||||
\(896\) | −43.5420 | + | 13.6288i | −1.45464 | + | 0.455308i | ||||
\(897\) | −4.70360 | + | 14.4762i | −0.157049 | + | 0.483346i | ||||
\(898\) | 2.57987 | + | 24.5459i | 0.0860915 | + | 0.819106i | ||||
\(899\) | 0.405291 | − | 3.85608i | 0.0135172 | − | 0.128608i | ||||
\(900\) | 0.985356 | − | 1.09435i | 0.0328452 | − | 0.0364783i | ||||
\(901\) | 0.227159 | − | 0.393451i | 0.00756776 | − | 0.0131078i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −9.90170 | + | 0.932559i | −0.329508 | + | 0.0310336i | ||||
\(904\) | −21.6403 | − | 66.6020i | −0.719746 | − | 2.21515i | ||||
\(905\) | 24.5955 | − | 10.9506i | 0.817584 | − | 0.364012i | ||||
\(906\) | 24.0970 | + | 10.7287i | 0.800570 | + | 0.356437i | ||||
\(907\) | 20.0697 | − | 4.26595i | 0.666405 | − | 0.141649i | 0.137726 | − | 0.990470i | \(-0.456021\pi\) |
0.528679 | + | 0.848822i | \(0.322687\pi\) | |||||||
\(908\) | −51.9027 | − | 57.6438i | −1.72245 | − | 1.91298i | ||||
\(909\) | −12.1826 | + | 8.85120i | −0.404072 | + | 0.293576i | ||||
\(910\) | 41.0869 | + | 24.3177i | 1.36202 | + | 0.806125i | ||||
\(911\) | 8.55220 | + | 26.3210i | 0.283347 | + | 0.872052i | 0.986889 | + | 0.161399i | \(0.0516006\pi\) |
−0.703542 | + | 0.710653i | \(0.748399\pi\) | |||||||
\(912\) | 13.0025 | − | 22.5209i | 0.430554 | − | 0.745742i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 12.8840 | + | 22.3158i | 0.426165 | + | 0.738140i | ||||
\(915\) | 19.9731 | + | 4.24541i | 0.660289 | + | 0.140349i | ||||
\(916\) | 86.7360 | + | 63.0174i | 2.86584 | + | 2.08215i | ||||
\(917\) | 1.90315 | + | 0.641208i | 0.0628476 | + | 0.0211746i | ||||
\(918\) | −4.49602 | + | 13.8373i | −0.148391 | + | 0.456700i | ||||
\(919\) | −0.644677 | − | 0.715986i | −0.0212659 | − | 0.0236182i | 0.732418 | − | 0.680855i | \(-0.238392\pi\) |
−0.753684 | + | 0.657237i | \(0.771725\pi\) | |||||||
\(920\) | 71.7735 | + | 31.9556i | 2.36630 | + | 1.05355i | ||||
\(921\) | −1.86354 | + | 17.7304i | −0.0614058 | + | 0.584237i | ||||
\(922\) | −37.3681 | − | 7.94283i | −1.23065 | − | 0.261583i | ||||
\(923\) | 37.2249 | 1.22527 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.781061 | 0.0256811 | ||||||||
\(926\) | 61.2307 | + | 13.0150i | 2.01217 | + | 0.427699i | ||||
\(927\) | −0.276974 | + | 2.63523i | −0.00909703 | + | 0.0865525i | ||||
\(928\) | 3.22617 | + | 1.43638i | 0.105904 | + | 0.0471515i | ||||
\(929\) | 17.6195 | + | 19.5685i | 0.578078 | + | 0.642021i | 0.959275 | − | 0.282473i | \(-0.0911548\pi\) |
−0.381197 | + | 0.924494i | \(0.624488\pi\) | |||||||
\(930\) | 2.84547 | − | 8.75746i | 0.0933067 | − | 0.287168i | ||||
\(931\) | −33.1738 | + | 35.2780i | −1.08723 | + | 1.15619i | ||||
\(932\) | 12.9853 | + | 9.43439i | 0.425349 | + | 0.309034i | ||||
\(933\) | 24.2472 | + | 5.15389i | 0.793817 | + | 0.168731i | ||||
\(934\) | 0.929110 | + | 1.60927i | 0.0304014 | + | 0.0526568i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 22.4745 | − | 38.9269i | 0.734601 | − | 1.27237i | ||||
\(937\) | 6.60878 | + | 20.3397i | 0.215899 | + | 0.664470i | 0.999089 | + | 0.0426865i | \(0.0135917\pi\) |
−0.783189 | + | 0.621784i | \(0.786408\pi\) | |||||||
\(938\) | 26.2604 | − | 14.7851i | 0.857433 | − | 0.482751i | ||||
\(939\) | 13.6866 | − | 9.94392i | 0.446646 | − | 0.324508i | ||||
\(940\) | 9.24578 | + | 10.2685i | 0.301564 | + | 0.334921i | ||||
\(941\) | 14.4989 | − | 3.08184i | 0.472651 | − | 0.100465i | 0.0345735 | − | 0.999402i | \(-0.488993\pi\) |
0.438078 | + | 0.898937i | \(0.355659\pi\) | |||||||
\(942\) | −10.3761 | − | 4.61974i | −0.338072 | − | 0.150519i | ||||
\(943\) | 66.7086 | − | 29.7006i | 2.17233 | − | 0.967184i | ||||
\(944\) | −20.6079 | − | 63.4246i | −0.670730 | − | 2.06429i | ||||
\(945\) | 13.2305 | + | 18.6307i | 0.430389 | + | 0.606056i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −15.8560 | + | 27.4634i | −0.515251 | + | 0.892442i | 0.484592 | + | 0.874740i | \(0.338968\pi\) |
−0.999843 | + | 0.0177013i | \(0.994365\pi\) | |||||||
\(948\) | 9.29719 | − | 10.3256i | 0.301959 | − | 0.335359i | ||||
\(949\) | −2.94325 | + | 28.0031i | −0.0955419 | + | 0.909020i | ||||
\(950\) | 0.253273 | + | 2.40973i | 0.00821727 | + | 0.0781821i | ||||
\(951\) | −4.33869 | + | 13.3531i | −0.140692 | + | 0.433004i | ||||
\(952\) | 4.73190 | − | 21.1352i | 0.153362 | − | 0.684997i | ||||
\(953\) | 40.4201 | − | 29.3669i | 1.30933 | − | 0.951287i | 0.309335 | − | 0.950953i | \(-0.399894\pi\) |
1.00000 | 0.000333943i | \(-0.000106297\pi\) | ||||||||
\(954\) | −1.72724 | + | 0.769016i | −0.0559214 | + | 0.0248978i | ||||
\(955\) | 17.8616 | − | 19.8373i | 0.577988 | − | 0.641921i | ||||
\(956\) | 27.3365 | + | 47.3481i | 0.884124 | + | 1.53135i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 50.0988 | 1.61862 | ||||||||
\(959\) | 6.13271 | + | 14.1852i | 0.198036 | + | 0.458064i | ||||
\(960\) | −6.62272 | − | 4.81169i | −0.213747 | − | 0.155296i | ||||
\(961\) | 2.66300 | + | 25.3368i | 0.0859033 | + | 0.817315i | ||||
\(962\) | 44.4774 | − | 9.45397i | 1.43401 | − | 0.304808i | ||||
\(963\) | 15.4274 | − | 3.27920i | 0.497142 | − | 0.105671i | ||||
\(964\) | −0.198022 | − | 1.88405i | −0.00637786 | − | 0.0606813i | ||||
\(965\) | −21.2937 | − | 15.4708i | −0.685468 | − | 0.498022i | ||||
\(966\) | 18.2066 | − | 24.4977i | 0.585788 | − | 0.788199i | ||||
\(967\) | 52.4581 | 1.68694 | 0.843469 | − | 0.537178i | \(-0.180510\pi\) | ||||
0.843469 | + | 0.537178i | \(0.180510\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.67961 | − | 6.37327i | −0.118206 | − | 0.204739i | ||||
\(970\) | 6.83158 | − | 7.58724i | 0.219349 | − | 0.243612i | ||||
\(971\) | 28.1615 | − | 12.5383i | 0.903745 | − | 0.402373i | 0.0983775 | − | 0.995149i | \(-0.468635\pi\) |
0.805367 | + | 0.592776i | \(0.201968\pi\) | |||||||
\(972\) | 51.3311 | − | 37.2942i | 1.64645 | − | 1.19621i | ||||
\(973\) | −10.8500 | − | 9.98397i | −0.347835 | − | 0.320071i | ||||
\(974\) | −3.27124 | + | 10.0678i | −0.104817 | + | 0.322595i | ||||
\(975\) | −0.0344674 | − | 0.327935i | −0.00110384 | − | 0.0105023i | ||||
\(976\) | −7.14872 | + | 68.0155i | −0.228825 | + | 2.17712i | ||||
\(977\) | 16.5513 | − | 18.3821i | 0.529523 | − | 0.588095i | −0.417734 | − | 0.908569i | \(-0.637176\pi\) |
0.947257 | + | 0.320474i | \(0.103842\pi\) | |||||||
\(978\) | 8.83791 | − | 15.3077i | 0.282605 | − | 0.489487i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −42.3585 | − | 49.1409i | −1.35309 | − | 1.56975i | ||||
\(981\) | −2.16589 | − | 6.66593i | −0.0691516 | − | 0.212827i | ||||
\(982\) | −69.0117 | + | 30.7260i | −2.20225 | + | 0.980505i | ||||
\(983\) | 11.1670 | + | 4.97188i | 0.356173 | + | 0.158578i | 0.577020 | − | 0.816730i | \(-0.304215\pi\) |
−0.220847 | + | 0.975308i | \(0.570882\pi\) | |||||||
\(984\) | 43.1133 | − | 9.16402i | 1.37440 | − | 0.292138i | ||||
\(985\) | −17.9403 | − | 19.9247i | −0.571624 | − | 0.634853i | ||||
\(986\) | 4.95637 | − | 3.60101i | 0.157843 | − | 0.114680i | ||||
\(987\) | 2.45252 | − | 1.38082i | 0.0780646 | − | 0.0439519i | ||||
\(988\) | 29.5387 | + | 90.9109i | 0.939752 | + | 2.89226i | ||||
\(989\) | 17.0975 | − | 29.6138i | 0.543670 | − | 0.941665i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.30008 | − | 3.98386i | −0.0730645 | − | 0.126552i | 0.827178 | − | 0.561939i | \(-0.189945\pi\) |
−0.900243 | + | 0.435388i | \(0.856611\pi\) | |||||||
\(992\) | 4.92104 | + | 1.04600i | 0.156243 | + | 0.0332105i | ||||
\(993\) | −16.2730 | − | 11.8230i | −0.516408 | − | 0.375192i | ||||
\(994\) | −70.7385 | − | 23.8332i | −2.24369 | − | 0.755942i | ||||
\(995\) | 1.29761 | − | 3.99365i | 0.0411371 | − | 0.126607i | ||||
\(996\) | −3.88674 | − | 4.31666i | −0.123156 | − | 0.136779i | ||||
\(997\) | 31.4957 | + | 14.0228i | 0.997479 | + | 0.444106i | 0.839514 | − | 0.543339i | \(-0.182840\pi\) |
0.157965 | + | 0.987445i | \(0.449507\pi\) | |||||||
\(998\) | −3.76002 | + | 35.7742i | −0.119021 | + | 1.13241i | ||||
\(999\) | 21.2872 | + | 4.52474i | 0.673498 | + | 0.143156i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))