Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(362,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.362");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.e (of order \(4\), degree \(2\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 362.16 | ||
Character | \(\chi\) | \(=\) | 605.362 |
Dual form | 605.2.e.b.483.16 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.79273 | − | 1.79273i | 1.26765 | − | 1.26765i | 0.320354 | − | 0.947298i | \(-0.396198\pi\) |
0.947298 | − | 0.320354i | \(-0.103802\pi\) | |||||||
\(3\) | −1.41767 | + | 1.41767i | −0.818492 | + | 0.818492i | −0.985890 | − | 0.167397i | \(-0.946464\pi\) |
0.167397 | + | 0.985890i | \(0.446464\pi\) | |||||||
\(4\) | − | 4.42777i | − | 2.21388i | ||||||
\(5\) | 1.69208 | − | 1.46180i | 0.756723 | − | 0.653736i | ||||
\(6\) | 5.08300i | 2.07513i | ||||||||
\(7\) | 1.27846 | − | 1.27846i | 0.483214 | − | 0.483214i | −0.422942 | − | 0.906157i | \(-0.639003\pi\) |
0.906157 | + | 0.422942i | \(0.139003\pi\) | |||||||
\(8\) | −4.35233 | − | 4.35233i | −1.53878 | − | 1.53878i | ||||
\(9\) | − | 1.01958i | − | 0.339860i | ||||||
\(10\) | 0.412838 | − | 5.65406i | 0.130551 | − | 1.78797i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 6.27711 | + | 6.27711i | 1.81205 | + | 1.81205i | ||||
\(13\) | −1.59509 | − | 1.59509i | −0.442398 | − | 0.442398i | 0.450419 | − | 0.892817i | \(-0.351275\pi\) |
−0.892817 | + | 0.450419i | \(0.851275\pi\) | |||||||
\(14\) | − | 4.58388i | − | 1.22509i | ||||||
\(15\) | −0.326467 | + | 4.47116i | −0.0842935 | + | 1.15445i | ||||
\(16\) | −6.74958 | −1.68739 | ||||||||
\(17\) | 2.37874 | − | 2.37874i | 0.576928 | − | 0.576928i | −0.357128 | − | 0.934056i | \(-0.616244\pi\) |
0.934056 | + | 0.357128i | \(0.116244\pi\) | |||||||
\(18\) | −1.82783 | − | 1.82783i | −0.430824 | − | 0.430824i | ||||
\(19\) | 1.30587 | 0.299586 | 0.149793 | − | 0.988717i | \(-0.452139\pi\) | ||||
0.149793 | + | 0.988717i | \(0.452139\pi\) | |||||||
\(20\) | −6.47250 | − | 7.49215i | −1.44730 | − | 1.67530i | ||||
\(21\) | 3.62488i | 0.791014i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.16488 | + | 3.16488i | −0.659922 | + | 0.659922i | −0.955362 | − | 0.295439i | \(-0.904534\pi\) |
0.295439 | + | 0.955362i | \(0.404534\pi\) | |||||||
\(24\) | 12.3403 | 2.51896 | ||||||||
\(25\) | 0.726289 | − | 4.94697i | 0.145258 | − | 0.989394i | ||||
\(26\) | −5.71913 | −1.12161 | ||||||||
\(27\) | −2.80758 | − | 2.80758i | −0.540320 | − | 0.540320i | ||||
\(28\) | −5.66074 | − | 5.66074i | −1.06978 | − | 1.06978i | ||||
\(29\) | 2.93651 | 0.545297 | 0.272648 | − | 0.962114i | \(-0.412100\pi\) | ||||
0.272648 | + | 0.962114i | \(0.412100\pi\) | |||||||
\(30\) | 7.43033 | + | 8.60086i | 1.35659 | + | 1.57030i | ||||
\(31\) | −4.01029 | −0.720269 | −0.360134 | − | 0.932900i | \(-0.617269\pi\) | ||||
−0.360134 | + | 0.932900i | \(0.617269\pi\) | |||||||
\(32\) | −3.39552 | + | 3.39552i | −0.600248 | + | 0.600248i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 8.52886i | − | 1.46269i | ||||||
\(35\) | 0.294410 | − | 4.03213i | 0.0497644 | − | 0.681554i | ||||
\(36\) | −4.51446 | −0.752409 | ||||||||
\(37\) | −2.26906 | − | 2.26906i | −0.373031 | − | 0.373031i | 0.495549 | − | 0.868580i | \(-0.334967\pi\) |
−0.868580 | + | 0.495549i | \(0.834967\pi\) | |||||||
\(38\) | 2.34107 | − | 2.34107i | 0.379771 | − | 0.379771i | ||||
\(39\) | 4.52262 | 0.724199 | ||||||||
\(40\) | −13.7267 | − | 1.00227i | −2.17039 | − | 0.158473i | ||||
\(41\) | − | 1.30369i | − | 0.203602i | −0.994805 | − | 0.101801i | \(-0.967540\pi\) | ||
0.994805 | − | 0.101801i | \(-0.0324604\pi\) | |||||||
\(42\) | 6.49844 | + | 6.49844i | 1.00273 | + | 1.00273i | ||||
\(43\) | 4.55431 | + | 4.55431i | 0.694526 | + | 0.694526i | 0.963224 | − | 0.268698i | \(-0.0865935\pi\) |
−0.268698 | + | 0.963224i | \(0.586593\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.49042 | − | 1.72521i | −0.222178 | − | 0.257179i | ||||
\(46\) | 11.3475i | 1.67310i | ||||||||
\(47\) | 5.46143 | + | 5.46143i | 0.796632 | + | 0.796632i | 0.982563 | − | 0.185931i | \(-0.0595302\pi\) |
−0.185931 | + | 0.982563i | \(0.559530\pi\) | |||||||
\(48\) | 9.56868 | − | 9.56868i | 1.38112 | − | 1.38112i | ||||
\(49\) | 3.73106i | 0.533008i | ||||||||
\(50\) | −7.56654 | − | 10.1706i | −1.07007 | − | 1.43834i | ||||
\(51\) | 6.74453i | 0.944422i | ||||||||
\(52\) | −7.06268 | + | 7.06268i | −0.979418 | + | 0.979418i | ||||
\(53\) | 4.50356 | − | 4.50356i | 0.618612 | − | 0.618612i | −0.326564 | − | 0.945175i | \(-0.605891\pi\) |
0.945175 | + | 0.326564i | \(0.105891\pi\) | |||||||
\(54\) | −10.0665 | −1.36988 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −11.1286 | −1.48712 | ||||||||
\(57\) | −1.85129 | + | 1.85129i | −0.245209 | + | 0.245209i | ||||
\(58\) | 5.26438 | − | 5.26438i | 0.691247 | − | 0.691247i | ||||
\(59\) | 12.3878i | 1.61275i | 0.591404 | + | 0.806376i | \(0.298574\pi\) | ||||
−0.591404 | + | 0.806376i | \(0.701426\pi\) | |||||||
\(60\) | 19.7973 | + | 1.44552i | 2.55582 | + | 0.186616i | ||||
\(61\) | 9.31002i | 1.19203i | 0.802975 | + | 0.596013i | \(0.203249\pi\) | ||||
−0.802975 | + | 0.596013i | \(0.796751\pi\) | |||||||
\(62\) | −7.18936 | + | 7.18936i | −0.913050 | + | 0.913050i | ||||
\(63\) | −1.30349 | − | 1.30349i | −0.164225 | − | 0.164225i | ||||
\(64\) | − | 1.32466i | − | 0.165583i | ||||||
\(65\) | −5.03072 | − | 0.367324i | −0.623984 | − | 0.0455609i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.46236 | − | 2.46236i | −0.300825 | − | 0.300825i | 0.540512 | − | 0.841336i | \(-0.318231\pi\) |
−0.841336 | + | 0.540512i | \(0.818231\pi\) | |||||||
\(68\) | −10.5325 | − | 10.5325i | −1.27725 | − | 1.27725i | ||||
\(69\) | − | 8.97350i | − | 1.08028i | ||||||
\(70\) | −6.70072 | − | 7.75631i | −0.800889 | − | 0.927057i | ||||
\(71\) | −6.77125 | −0.803599 | −0.401800 | − | 0.915728i | \(-0.631615\pi\) | ||||
−0.401800 | + | 0.915728i | \(0.631615\pi\) | |||||||
\(72\) | −4.43754 | + | 4.43754i | −0.522969 | + | 0.522969i | ||||
\(73\) | 6.67785 | + | 6.67785i | 0.781583 | + | 0.781583i | 0.980098 | − | 0.198515i | \(-0.0636119\pi\) |
−0.198515 | + | 0.980098i | \(0.563612\pi\) | |||||||
\(74\) | −8.13562 | −0.945746 | ||||||||
\(75\) | 5.98353 | + | 8.04281i | 0.690919 | + | 0.928704i | ||||
\(76\) | − | 5.78207i | − | 0.663249i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 8.10784 | − | 8.10784i | 0.918032 | − | 0.918032i | ||||
\(79\) | 1.14511 | 0.128835 | 0.0644177 | − | 0.997923i | \(-0.479481\pi\) | ||||
0.0644177 | + | 0.997923i | \(0.479481\pi\) | |||||||
\(80\) | −11.4208 | + | 9.86653i | −1.27689 | + | 1.10311i | ||||
\(81\) | 11.0192 | 1.22436 | ||||||||
\(82\) | −2.33716 | − | 2.33716i | −0.258096 | − | 0.258096i | ||||
\(83\) | 7.39974 | + | 7.39974i | 0.812227 | + | 0.812227i | 0.984967 | − | 0.172740i | \(-0.0552622\pi\) |
−0.172740 | + | 0.984967i | \(0.555262\pi\) | |||||||
\(84\) | 16.0501 | 1.75121 | ||||||||
\(85\) | 0.547785 | − | 7.50225i | 0.0594157 | − | 0.813733i | ||||
\(86\) | 16.3293 | 1.76083 | ||||||||
\(87\) | −4.16301 | + | 4.16301i | −0.446321 | + | 0.446321i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.85743i | 0.408887i | 0.978878 | + | 0.204443i | \(0.0655384\pi\) | ||||
−0.978878 | + | 0.204443i | \(0.934462\pi\) | |||||||
\(90\) | −5.76476 | − | 0.420921i | −0.607659 | − | 0.0443689i | ||||
\(91\) | −4.07853 | −0.427546 | ||||||||
\(92\) | 14.0133 | + | 14.0133i | 1.46099 | + | 1.46099i | ||||
\(93\) | 5.68526 | − | 5.68526i | 0.589535 | − | 0.589535i | ||||
\(94\) | 19.5817 | 2.01970 | ||||||||
\(95\) | 2.20963 | − | 1.90891i | 0.226704 | − | 0.195850i | ||||
\(96\) | − | 9.62745i | − | 0.982597i | ||||||
\(97\) | −0.550166 | − | 0.550166i | −0.0558608 | − | 0.0558608i | 0.678625 | − | 0.734485i | \(-0.262576\pi\) |
−0.734485 | + | 0.678625i | \(0.762576\pi\) | |||||||
\(98\) | 6.68878 | + | 6.68878i | 0.675669 | + | 0.675669i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −21.9040 | − | 3.21584i | −2.19040 | − | 0.321584i | ||||
\(101\) | 9.76766i | 0.971919i | 0.873981 | + | 0.485959i | \(0.161530\pi\) | ||||
−0.873981 | + | 0.485959i | \(0.838470\pi\) | |||||||
\(102\) | 12.0911 | + | 12.0911i | 1.19720 | + | 1.19720i | ||||
\(103\) | −3.30351 | + | 3.30351i | −0.325504 | + | 0.325504i | −0.850874 | − | 0.525370i | \(-0.823927\pi\) |
0.525370 | + | 0.850874i | \(0.323927\pi\) | |||||||
\(104\) | 13.8847i | 1.36151i | ||||||||
\(105\) | 5.29885 | + | 6.13360i | 0.517115 | + | 0.598578i | ||||
\(106\) | − | 16.1473i | − | 1.56837i | ||||||
\(107\) | 10.8200 | − | 10.8200i | 1.04601 | − | 1.04601i | 0.0471159 | − | 0.998889i | \(-0.484997\pi\) |
0.998889 | − | 0.0471159i | \(-0.0150030\pi\) | |||||||
\(108\) | −12.4313 | + | 12.4313i | −1.19621 | + | 1.19621i | ||||
\(109\) | 17.8837 | 1.71295 | 0.856476 | − | 0.516187i | \(-0.172649\pi\) | ||||
0.856476 | + | 0.516187i | \(0.172649\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.43355 | 0.610646 | ||||||||
\(112\) | −8.62910 | + | 8.62910i | −0.815373 | + | 0.815373i | ||||
\(113\) | −5.28177 | + | 5.28177i | −0.496867 | + | 0.496867i | −0.910461 | − | 0.413594i | \(-0.864273\pi\) |
0.413594 | + | 0.910461i | \(0.364273\pi\) | |||||||
\(114\) | 6.63772i | 0.621679i | ||||||||
\(115\) | −0.728821 | + | 9.98165i | −0.0679629 | + | 0.930793i | ||||
\(116\) | − | 13.0022i | − | 1.20722i | ||||||
\(117\) | −1.62632 | + | 1.62632i | −0.150353 | + | 0.150353i | ||||
\(118\) | 22.2080 | + | 22.2080i | 2.04441 | + | 2.04441i | ||||
\(119\) | − | 6.08226i | − | 0.557560i | ||||||
\(120\) | 20.8809 | − | 18.0391i | 1.90615 | − | 1.64674i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 16.6904 | + | 16.6904i | 1.51107 | + | 1.51107i | ||||
\(123\) | 1.84820 | + | 1.84820i | 0.166646 | + | 0.166646i | ||||
\(124\) | 17.7566i | 1.59459i | ||||||||
\(125\) | −6.00253 | − | 9.43237i | −0.536883 | − | 0.843657i | ||||
\(126\) | −4.67363 | −0.416360 | ||||||||
\(127\) | −0.145798 | + | 0.145798i | −0.0129375 | + | 0.0129375i | −0.713546 | − | 0.700608i | \(-0.752912\pi\) |
0.700608 | + | 0.713546i | \(0.252912\pi\) | |||||||
\(128\) | −9.16580 | − | 9.16580i | −0.810150 | − | 0.810150i | ||||
\(129\) | −12.9130 | −1.13693 | ||||||||
\(130\) | −9.67724 | + | 8.36022i | −0.848750 | + | 0.733240i | ||||
\(131\) | 0.551708i | 0.0482029i | 0.999710 | + | 0.0241015i | \(0.00767248\pi\) | ||||
−0.999710 | + | 0.0241015i | \(0.992328\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.66950 | − | 1.66950i | 0.144764 | − | 0.144764i | ||||
\(134\) | −8.82869 | −0.762682 | ||||||||
\(135\) | −8.85479 | − | 0.646543i | −0.762099 | − | 0.0556455i | ||||
\(136\) | −20.7061 | −1.77553 | ||||||||
\(137\) | −10.9435 | − | 10.9435i | −0.934965 | − | 0.934965i | 0.0630456 | − | 0.998011i | \(-0.479919\pi\) |
−0.998011 | + | 0.0630456i | \(0.979919\pi\) | |||||||
\(138\) | −16.0871 | − | 16.0871i | −1.36942 | − | 1.36942i | ||||
\(139\) | −1.42272 | −0.120674 | −0.0603369 | − | 0.998178i | \(-0.519218\pi\) | ||||
−0.0603369 | + | 0.998178i | \(0.519218\pi\) | |||||||
\(140\) | −17.8533 | − | 1.30358i | −1.50888 | − | 0.110173i | ||||
\(141\) | −15.4850 | −1.30407 | ||||||||
\(142\) | −12.1390 | + | 12.1390i | −1.01868 | + | 1.01868i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 6.88173i | 0.573477i | ||||||||
\(145\) | 4.96882 | − | 4.29259i | 0.412638 | − | 0.356480i | ||||
\(146\) | 23.9432 | 1.98155 | ||||||||
\(147\) | −5.28941 | − | 5.28941i | −0.436263 | − | 0.436263i | ||||
\(148\) | −10.0469 | + | 10.0469i | −0.825846 | + | 0.825846i | ||||
\(149\) | −23.8050 | −1.95018 | −0.975091 | − | 0.221805i | \(-0.928805\pi\) | ||||
−0.975091 | + | 0.221805i | \(0.928805\pi\) | |||||||
\(150\) | 25.1455 | + | 3.69173i | 2.05312 | + | 0.301429i | ||||
\(151\) | 14.3861i | 1.17072i | 0.810773 | + | 0.585361i | \(0.199047\pi\) | ||||
−0.810773 | + | 0.585361i | \(0.800953\pi\) | |||||||
\(152\) | −5.68356 | − | 5.68356i | −0.460998 | − | 0.460998i | ||||
\(153\) | −2.42531 | − | 2.42531i | −0.196075 | − | 0.196075i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.78574 | + | 5.86223i | −0.545044 | + | 0.470866i | ||||
\(156\) | − | 20.0251i | − | 1.60329i | ||||||
\(157\) | −9.54161 | − | 9.54161i | −0.761503 | − | 0.761503i | 0.215091 | − | 0.976594i | \(-0.430995\pi\) |
−0.976594 | + | 0.215091i | \(0.930995\pi\) | |||||||
\(158\) | 2.05288 | − | 2.05288i | 0.163318 | − | 0.163318i | ||||
\(159\) | 12.7691i | 1.01266i | ||||||||
\(160\) | −0.781934 | + | 10.7091i | −0.0618173 | + | 0.846626i | ||||
\(161\) | 8.09236i | 0.637768i | ||||||||
\(162\) | 19.7544 | − | 19.7544i | 1.55206 | − | 1.55206i | ||||
\(163\) | 0.758875 | − | 0.758875i | 0.0594397 | − | 0.0594397i | −0.676762 | − | 0.736202i | \(-0.736617\pi\) |
0.736202 | + | 0.676762i | \(0.236617\pi\) | |||||||
\(164\) | −5.77242 | −0.450750 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 26.5315 | 2.05924 | ||||||||
\(167\) | 1.33773 | − | 1.33773i | 0.103516 | − | 0.103516i | −0.653452 | − | 0.756968i | \(-0.726680\pi\) |
0.756968 | + | 0.653452i | \(0.226680\pi\) | |||||||
\(168\) | 15.7767 | − | 15.7767i | 1.21720 | − | 1.21720i | ||||
\(169\) | − | 7.91138i | − | 0.608568i | ||||||
\(170\) | −12.4675 | − | 14.4315i | −0.956212 | − | 1.10685i | ||||
\(171\) | − | 1.33143i | − | 0.101817i | ||||||
\(172\) | 20.1654 | − | 20.1654i | 1.53760 | − | 1.53760i | ||||
\(173\) | −13.3978 | − | 13.3978i | −1.01861 | − | 1.01861i | −0.999823 | − | 0.0187899i | \(-0.994019\pi\) |
−0.0187899 | − | 0.999823i | \(-0.505981\pi\) | |||||||
\(174\) | 14.9263i | 1.13156i | ||||||||
\(175\) | −5.39599 | − | 7.25306i | −0.407898 | − | 0.548280i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −17.5618 | − | 17.5618i | −1.32002 | − | 1.32002i | ||||
\(178\) | 6.91533 | + | 6.91533i | 0.518326 | + | 0.518326i | ||||
\(179\) | 16.3829i | 1.22451i | 0.790659 | + | 0.612256i | \(0.209738\pi\) | ||||
−0.790659 | + | 0.612256i | \(0.790262\pi\) | |||||||
\(180\) | −7.63883 | + | 6.59923i | −0.569365 | + | 0.491877i | ||||
\(181\) | 14.8635 | 1.10479 | 0.552396 | − | 0.833582i | \(-0.313714\pi\) | ||||
0.552396 | + | 0.833582i | \(0.313714\pi\) | |||||||
\(182\) | −7.31171 | + | 7.31171i | −0.541980 | + | 0.541980i | ||||
\(183\) | −13.1985 | − | 13.1985i | −0.975664 | − | 0.975664i | ||||
\(184\) | 27.5492 | 2.03095 | ||||||||
\(185\) | −7.15634 | − | 0.522528i | −0.526144 | − | 0.0384170i | ||||
\(186\) | − | 20.3843i | − | 1.49465i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 24.1819 | − | 24.1819i | 1.76365 | − | 1.76365i | ||||
\(189\) | −7.17879 | −0.522180 | ||||||||
\(190\) | 0.539111 | − | 7.38345i | 0.0391112 | − | 0.535651i | ||||
\(191\) | −1.90958 | −0.138172 | −0.0690861 | − | 0.997611i | \(-0.522008\pi\) | ||||
−0.0690861 | + | 0.997611i | \(0.522008\pi\) | |||||||
\(192\) | 1.87794 | + | 1.87794i | 0.135528 | + | 0.135528i | ||||
\(193\) | −8.04894 | − | 8.04894i | −0.579376 | − | 0.579376i | 0.355355 | − | 0.934731i | \(-0.384360\pi\) |
−0.934731 | + | 0.355355i | \(0.884360\pi\) | |||||||
\(194\) | −1.97260 | −0.141624 | ||||||||
\(195\) | 7.65265 | − | 6.61116i | 0.548018 | − | 0.473435i | ||||
\(196\) | 16.5202 | 1.18002 | ||||||||
\(197\) | 13.8092 | − | 13.8092i | 0.983863 | − | 0.983863i | −0.0160086 | − | 0.999872i | \(-0.505096\pi\) |
0.999872 | + | 0.0160086i | \(0.00509592\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 22.3508i | 1.58441i | 0.610258 | + | 0.792203i | \(0.291066\pi\) | ||||
−0.610258 | + | 0.792203i | \(0.708934\pi\) | |||||||
\(200\) | −24.6919 | + | 18.3698i | −1.74598 | + | 1.29894i | ||||
\(201\) | 6.98162 | 0.492446 | ||||||||
\(202\) | 17.5108 | + | 17.5108i | 1.23205 | + | 1.23205i | ||||
\(203\) | 3.75423 | − | 3.75423i | 0.263495 | − | 0.263495i | ||||
\(204\) | 29.8632 | 2.09084 | ||||||||
\(205\) | −1.90573 | − | 2.20594i | −0.133102 | − | 0.154070i | ||||
\(206\) | 11.8446i | 0.825252i | ||||||||
\(207\) | 3.22684 | + | 3.22684i | 0.224281 | + | 0.224281i | ||||
\(208\) | 10.7662 | + | 10.7662i | 0.746501 | + | 0.746501i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 20.4953 | + | 1.49649i | 1.41431 | + | 0.103267i | ||||
\(211\) | − | 0.376542i | − | 0.0259222i | −0.999916 | − | 0.0129611i | \(-0.995874\pi\) | ||
0.999916 | − | 0.0129611i | \(-0.00412577\pi\) | |||||||
\(212\) | −19.9407 | − | 19.9407i | −1.36953 | − | 1.36953i | ||||
\(213\) | 9.59940 | − | 9.59940i | 0.657740 | − | 0.657740i | ||||
\(214\) | − | 38.7946i | − | 2.65194i | ||||||
\(215\) | 14.3638 | + | 1.04879i | 0.979600 | + | 0.0715266i | ||||
\(216\) | 24.4391i | 1.66287i | ||||||||
\(217\) | −5.12701 | + | 5.12701i | −0.348044 | + | 0.348044i | ||||
\(218\) | 32.0607 | − | 32.0607i | 2.17143 | − | 2.17143i | ||||
\(219\) | −18.9340 | −1.27944 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.58859 | −0.510464 | ||||||||
\(222\) | 11.5336 | − | 11.5336i | 0.774086 | − | 0.774086i | ||||
\(223\) | −5.38065 | + | 5.38065i | −0.360315 | + | 0.360315i | −0.863929 | − | 0.503614i | \(-0.832003\pi\) |
0.503614 | + | 0.863929i | \(0.332003\pi\) | |||||||
\(224\) | 8.68210i | 0.580097i | ||||||||
\(225\) | −5.04382 | − | 0.740509i | −0.336255 | − | 0.0493673i | ||||
\(226\) | 18.9376i | 1.25971i | ||||||||
\(227\) | 5.80016 | − | 5.80016i | 0.384970 | − | 0.384970i | −0.487919 | − | 0.872889i | \(-0.662244\pi\) |
0.872889 | + | 0.487919i | \(0.162244\pi\) | |||||||
\(228\) | 8.19707 | + | 8.19707i | 0.542864 | + | 0.542864i | ||||
\(229\) | 7.58916i | 0.501506i | 0.968051 | + | 0.250753i | \(0.0806781\pi\) | ||||
−0.968051 | + | 0.250753i | \(0.919322\pi\) | |||||||
\(230\) | 16.5878 | + | 19.2010i | 1.09377 | + | 1.26608i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −12.7807 | − | 12.7807i | −0.839092 | − | 0.839092i | ||||
\(233\) | −18.5383 | − | 18.5383i | −1.21449 | − | 1.21449i | −0.969535 | − | 0.244952i | \(-0.921228\pi\) |
−0.244952 | − | 0.969535i | \(-0.578772\pi\) | |||||||
\(234\) | 5.83110i | 0.381191i | ||||||||
\(235\) | 17.2247 | + | 1.25768i | 1.12362 | + | 0.0820421i | ||||
\(236\) | 54.8502 | 3.57044 | ||||||||
\(237\) | −1.62339 | + | 1.62339i | −0.105451 | + | 0.105451i | ||||
\(238\) | −10.9038 | − | 10.9038i | −0.706791 | − | 0.706791i | ||||
\(239\) | 2.27601 | 0.147223 | 0.0736115 | − | 0.997287i | \(-0.476548\pi\) | ||||
0.0736115 | + | 0.997287i | \(0.476548\pi\) | |||||||
\(240\) | 2.20352 | − | 30.1785i | 0.142236 | − | 1.94801i | ||||
\(241\) | − | 6.29531i | − | 0.405517i | −0.979229 | − | 0.202758i | \(-0.935009\pi\) | ||
0.979229 | − | 0.202758i | \(-0.0649906\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −7.19883 | + | 7.19883i | −0.461805 | + | 0.461805i | ||||
\(244\) | 41.2226 | 2.63901 | ||||||||
\(245\) | 5.45405 | + | 6.31326i | 0.348447 | + | 0.403339i | ||||
\(246\) | 6.62664 | 0.422499 | ||||||||
\(247\) | −2.08297 | − | 2.08297i | −0.132536 | − | 0.132536i | ||||
\(248\) | 17.4541 | + | 17.4541i | 1.10834 | + | 1.10834i | ||||
\(249\) | −20.9808 | −1.32960 | ||||||||
\(250\) | −27.6706 | − | 6.14878i | −1.75004 | − | 0.388883i | ||||
\(251\) | −26.5949 | −1.67865 | −0.839326 | − | 0.543628i | \(-0.817050\pi\) | ||||
−0.839326 | + | 0.543628i | \(0.817050\pi\) | |||||||
\(252\) | −5.77157 | + | 5.77157i | −0.363575 | + | 0.363575i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 0.522752i | 0.0328004i | ||||||||
\(255\) | 9.85914 | + | 11.4123i | 0.617403 | + | 0.714666i | ||||
\(256\) | −30.2143 | −1.88839 | ||||||||
\(257\) | −13.9825 | − | 13.9825i | −0.872202 | − | 0.872202i | 0.120510 | − | 0.992712i | \(-0.461547\pi\) |
−0.992712 | + | 0.120510i | \(0.961547\pi\) | |||||||
\(258\) | −23.1496 | + | 23.1496i | −1.44123 | + | 1.44123i | ||||
\(259\) | −5.80182 | −0.360507 | ||||||||
\(260\) | −1.62642 | + | 22.2749i | −0.100867 | + | 1.38143i | ||||
\(261\) | − | 2.99401i | − | 0.185324i | ||||||
\(262\) | 0.989064 | + | 0.989064i | 0.0611046 | + | 0.0611046i | ||||
\(263\) | −5.91748 | − | 5.91748i | −0.364888 | − | 0.364888i | 0.500721 | − | 0.865609i | \(-0.333068\pi\) |
−0.865609 | + | 0.500721i | \(0.833068\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.03710 | − | 14.2037i | 0.0637085 | − | 0.872526i | ||||
\(266\) | − | 5.98594i | − | 0.367021i | ||||||
\(267\) | −5.46857 | − | 5.46857i | −0.334671 | − | 0.334671i | ||||
\(268\) | −10.9027 | + | 10.9027i | −0.665991 | + | 0.665991i | ||||
\(269\) | 9.71067i | 0.592070i | 0.955177 | + | 0.296035i | \(0.0956645\pi\) | ||||
−0.955177 | + | 0.296035i | \(0.904336\pi\) | |||||||
\(270\) | −17.0333 | + | 14.7152i | −1.03662 | + | 0.895537i | ||||
\(271\) | 3.05146i | 0.185363i | 0.995696 | + | 0.0926816i | \(0.0295439\pi\) | ||||
−0.995696 | + | 0.0926816i | \(0.970456\pi\) | |||||||
\(272\) | −16.0555 | + | 16.0555i | −0.973506 | + | 0.973506i | ||||
\(273\) | 5.78201 | − | 5.78201i | 0.349943 | − | 0.349943i | ||||
\(274\) | −39.2374 | −2.37042 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −39.7326 | −2.39162 | ||||||||
\(277\) | 1.68302 | − | 1.68302i | 0.101123 | − | 0.101123i | −0.654735 | − | 0.755858i | \(-0.727220\pi\) |
0.755858 | + | 0.654735i | \(0.227220\pi\) | |||||||
\(278\) | −2.55056 | + | 2.55056i | −0.152972 | + | 0.152972i | ||||
\(279\) | 4.08880i | 0.244790i | ||||||||
\(280\) | −18.8305 | + | 16.2678i | −1.12534 | + | 0.972185i | ||||
\(281\) | − | 28.2321i | − | 1.68418i | −0.539333 | − | 0.842092i | \(-0.681324\pi\) | ||
0.539333 | − | 0.842092i | \(-0.318676\pi\) | |||||||
\(282\) | −27.7605 | + | 27.7605i | −1.65311 | + | 1.65311i | ||||
\(283\) | −12.0303 | − | 12.0303i | −0.715128 | − | 0.715128i | 0.252475 | − | 0.967603i | \(-0.418755\pi\) |
−0.967603 | + | 0.252475i | \(0.918755\pi\) | |||||||
\(284\) | 29.9815i | 1.77907i | ||||||||
\(285\) | −0.426322 | + | 5.83874i | −0.0252532 | + | 0.345857i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.66672 | − | 1.66672i | −0.0983831 | − | 0.0983831i | ||||
\(288\) | 3.46200 | + | 3.46200i | 0.204000 | + | 0.204000i | ||||
\(289\) | 5.68324i | 0.334308i | ||||||||
\(290\) | 1.21230 | − | 16.6032i | 0.0711889 | − | 0.974975i | ||||
\(291\) | 1.55991 | 0.0914434 | ||||||||
\(292\) | 29.5679 | − | 29.5679i | 1.73033 | − | 1.73033i | ||||
\(293\) | 7.55536 | + | 7.55536i | 0.441389 | + | 0.441389i | 0.892479 | − | 0.451090i | \(-0.148965\pi\) |
−0.451090 | + | 0.892479i | \(0.648965\pi\) | |||||||
\(294\) | −18.9650 | −1.10606 | ||||||||
\(295\) | 18.1084 | + | 20.9611i | 1.05431 | + | 1.22041i | ||||
\(296\) | 19.7514i | 1.14803i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −42.6760 | + | 42.6760i | −2.47215 | + | 2.47215i | ||||
\(299\) | 10.0965 | 0.583897 | ||||||||
\(300\) | 35.6117 | − | 26.4937i | 2.05604 | − | 1.52961i | ||||
\(301\) | 11.6450 | 0.671210 | ||||||||
\(302\) | 25.7904 | + | 25.7904i | 1.48407 | + | 1.48407i | ||||
\(303\) | −13.8473 | − | 13.8473i | −0.795508 | − | 0.795508i | ||||
\(304\) | −8.81405 | −0.505520 | ||||||||
\(305\) | 13.6094 | + | 15.7533i | 0.779270 | + | 0.902033i | ||||
\(306\) | −8.69585 | −0.497108 | ||||||||
\(307\) | −22.9923 | + | 22.9923i | −1.31224 | + | 1.31224i | −0.392474 | + | 0.919763i | \(0.628381\pi\) |
−0.919763 | + | 0.392474i | \(0.871619\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 9.36657i | − | 0.532846i | ||||||
\(310\) | −1.65560 | + | 22.6744i | −0.0940316 | + | 1.28782i | ||||
\(311\) | 13.8886 | 0.787553 | 0.393776 | − | 0.919206i | \(-0.371168\pi\) | ||||
0.393776 | + | 0.919206i | \(0.371168\pi\) | |||||||
\(312\) | −19.6839 | − | 19.6839i | −1.11438 | − | 1.11438i | ||||
\(313\) | −12.2952 | + | 12.2952i | −0.694965 | + | 0.694965i | −0.963320 | − | 0.268355i | \(-0.913520\pi\) |
0.268355 | + | 0.963320i | \(0.413520\pi\) | |||||||
\(314\) | −34.2111 | −1.93064 | ||||||||
\(315\) | −4.11107 | − | 0.300174i | −0.231632 | − | 0.0169129i | ||||
\(316\) | − | 5.07030i | − | 0.285227i | ||||||
\(317\) | 11.4247 | + | 11.4247i | 0.641677 | + | 0.641677i | 0.950968 | − | 0.309291i | \(-0.100092\pi\) |
−0.309291 | + | 0.950968i | \(0.600092\pi\) | |||||||
\(318\) | 22.8916 | + | 22.8916i | 1.28370 | + | 1.28370i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −1.93639 | − | 2.24144i | −0.108248 | − | 0.125300i | ||||
\(321\) | 30.6783i | 1.71229i | ||||||||
\(322\) | 14.5074 | + | 14.5074i | 0.808467 | + | 0.808467i | ||||
\(323\) | 3.10631 | − | 3.10631i | 0.172840 | − | 0.172840i | ||||
\(324\) | − | 48.7904i | − | 2.71058i | ||||||
\(325\) | −9.04935 | + | 6.73236i | −0.501968 | + | 0.373444i | ||||
\(326\) | − | 2.72092i | − | 0.150698i | ||||||
\(327\) | −25.3532 | + | 25.3532i | −1.40204 | + | 1.40204i | ||||
\(328\) | −5.67407 | + | 5.67407i | −0.313298 | + | 0.313298i | ||||
\(329\) | 13.9645 | 0.769887 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.6837 | 0.807090 | 0.403545 | − | 0.914960i | \(-0.367778\pi\) | ||||
0.403545 | + | 0.914960i | \(0.367778\pi\) | |||||||
\(332\) | 32.7643 | − | 32.7643i | 1.79818 | − | 1.79818i | ||||
\(333\) | −2.31348 | + | 2.31348i | −0.126778 | + | 0.126778i | ||||
\(334\) | − | 4.79637i | − | 0.262446i | ||||||
\(335\) | −7.76598 | − | 0.567042i | −0.424301 | − | 0.0309808i | ||||
\(336\) | − | 24.4664i | − | 1.33475i | ||||||
\(337\) | 9.53964 | − | 9.53964i | 0.519658 | − | 0.519658i | −0.397810 | − | 0.917468i | \(-0.630230\pi\) |
0.917468 | + | 0.397810i | \(0.130230\pi\) | |||||||
\(338\) | −14.1830 | − | 14.1830i | −0.771452 | − | 0.771452i | ||||
\(339\) | − | 14.9756i | − | 0.813364i | ||||||
\(340\) | −33.2182 | − | 2.42547i | −1.80151 | − | 0.131539i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −2.38690 | − | 2.38690i | −0.129069 | − | 0.129069i | ||||
\(343\) | 13.7193 | + | 13.7193i | 0.740771 | + | 0.740771i | ||||
\(344\) | − | 39.6437i | − | 2.13745i | ||||||
\(345\) | −13.1175 | − | 15.1839i | −0.706220 | − | 0.817474i | ||||
\(346\) | −48.0372 | −2.58249 | ||||||||
\(347\) | 8.65203 | − | 8.65203i | 0.464465 | − | 0.464465i | −0.435650 | − | 0.900116i | \(-0.643482\pi\) |
0.900116 | + | 0.435650i | \(0.143482\pi\) | |||||||
\(348\) | 18.4328 | + | 18.4328i | 0.988103 | + | 0.988103i | ||||
\(349\) | 20.3713 | 1.09045 | 0.545225 | − | 0.838290i | \(-0.316444\pi\) | ||||
0.545225 | + | 0.838290i | \(0.316444\pi\) | |||||||
\(350\) | −22.6763 | − | 3.32923i | −1.21210 | − | 0.177955i | ||||
\(351\) | 8.95670i | 0.478073i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 13.7886 | − | 13.7886i | 0.733893 | − | 0.733893i | −0.237495 | − | 0.971389i | \(-0.576326\pi\) |
0.971389 | + | 0.237495i | \(0.0763264\pi\) | |||||||
\(354\) | −62.9671 | −3.34666 | ||||||||
\(355\) | −11.4575 | + | 9.89820i | −0.608102 | + | 0.525342i | ||||
\(356\) | 17.0798 | 0.905228 | ||||||||
\(357\) | 8.62264 | + | 8.62264i | 0.456358 | + | 0.456358i | ||||
\(358\) | 29.3701 | + | 29.3701i | 1.55226 | + | 1.55226i | ||||
\(359\) | −16.5198 | −0.871883 | −0.435941 | − | 0.899975i | \(-0.643585\pi\) | ||||
−0.435941 | + | 0.899975i | \(0.643585\pi\) | |||||||
\(360\) | −1.02190 | + | 13.9955i | −0.0538587 | + | 0.737627i | ||||
\(361\) | −17.2947 | −0.910248 | ||||||||
\(362\) | 26.6462 | − | 26.6462i | 1.40049 | − | 1.40049i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 18.0588i | 0.946537i | ||||||||
\(365\) | 21.0611 | + | 1.53780i | 1.10239 | + | 0.0804923i | ||||
\(366\) | −47.3228 | −2.47360 | ||||||||
\(367\) | 4.55474 | + | 4.55474i | 0.237755 | + | 0.237755i | 0.815920 | − | 0.578165i | \(-0.196231\pi\) |
−0.578165 | + | 0.815920i | \(0.696231\pi\) | |||||||
\(368\) | 21.3616 | − | 21.3616i | 1.11355 | − | 1.11355i | ||||
\(369\) | −1.32921 | −0.0691959 | ||||||||
\(370\) | −13.7661 | + | 11.8926i | −0.715667 | + | 0.618268i | ||||
\(371\) | − | 11.5153i | − | 0.597844i | ||||||
\(372\) | −25.1730 | − | 25.1730i | −1.30516 | − | 1.30516i | ||||
\(373\) | 9.69631 | + | 9.69631i | 0.502056 | + | 0.502056i | 0.912076 | − | 0.410021i | \(-0.134478\pi\) |
−0.410021 | + | 0.912076i | \(0.634478\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 21.8816 | + | 4.86238i | 1.12996 | + | 0.251092i | ||||
\(376\) | − | 47.5399i | − | 2.45168i | ||||||
\(377\) | −4.68400 | − | 4.68400i | −0.241238 | − | 0.241238i | ||||
\(378\) | −12.8696 | + | 12.8696i | −0.661943 | + | 0.661943i | ||||
\(379\) | − | 21.5011i | − | 1.10444i | −0.833700 | − | 0.552218i | \(-0.813782\pi\) | ||
0.833700 | − | 0.552218i | \(-0.186218\pi\) | |||||||
\(380\) | −8.45222 | − | 9.78374i | −0.433590 | − | 0.501895i | ||||
\(381\) | − | 0.413386i | − | 0.0211784i | ||||||
\(382\) | −3.42336 | + | 3.42336i | −0.175154 | + | 0.175154i | ||||
\(383\) | 0.214560 | − | 0.214560i | 0.0109635 | − | 0.0109635i | −0.701604 | − | 0.712567i | \(-0.747532\pi\) |
0.712567 | + | 0.701604i | \(0.247532\pi\) | |||||||
\(384\) | 25.9882 | 1.32620 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −28.8592 | −1.46889 | ||||||||
\(387\) | 4.64348 | − | 4.64348i | 0.236041 | − | 0.236041i | ||||
\(388\) | −2.43600 | + | 2.43600i | −0.123669 | + | 0.123669i | ||||
\(389\) | 3.60132i | 0.182594i | 0.995824 | + | 0.0912971i | \(0.0291013\pi\) | ||||
−0.995824 | + | 0.0912971i | \(0.970899\pi\) | |||||||
\(390\) | 1.86711 | − | 25.5712i | 0.0945447 | − | 1.29485i | ||||
\(391\) | 15.0568i | 0.761455i | ||||||||
\(392\) | 16.2388 | − | 16.2388i | 0.820183 | − | 0.820183i | ||||
\(393\) | −0.782140 | − | 0.782140i | −0.0394537 | − | 0.0394537i | ||||
\(394\) | − | 49.5123i | − | 2.49439i | ||||||
\(395\) | 1.93763 | − | 1.67393i | 0.0974927 | − | 0.0842244i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.1781 | + | 22.1781i | 1.11309 | + | 1.11309i | 0.992731 | + | 0.120357i | \(0.0384039\pi\) |
0.120357 | + | 0.992731i | \(0.461596\pi\) | |||||||
\(398\) | 40.0690 | + | 40.0690i | 2.00848 | + | 2.00848i | ||||
\(399\) | 4.73361i | 0.236977i | ||||||||
\(400\) | −4.90215 | + | 33.3900i | −0.245107 | + | 1.66950i | ||||
\(401\) | −9.99733 | −0.499243 | −0.249621 | − | 0.968344i | \(-0.580306\pi\) | ||||
−0.249621 | + | 0.968344i | \(0.580306\pi\) | |||||||
\(402\) | 12.5162 | − | 12.5162i | 0.624250 | − | 0.624250i | ||||
\(403\) | 6.39677 | + | 6.39677i | 0.318646 | + | 0.318646i | ||||
\(404\) | 43.2489 | 2.15171 | ||||||||
\(405\) | 18.6454 | − | 16.1078i | 0.926497 | − | 0.800405i | ||||
\(406\) | − | 13.4606i | − | 0.668040i | ||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 29.3544 | − | 29.3544i | 1.45326 | − | 1.45326i | ||||
\(409\) | −30.3912 | −1.50275 | −0.751374 | − | 0.659877i | \(-0.770609\pi\) | ||||
−0.751374 | + | 0.659877i | \(0.770609\pi\) | |||||||
\(410\) | −7.37112 | − | 0.538211i | −0.364034 | − | 0.0265803i | ||||
\(411\) | 31.0285 | 1.53052 | ||||||||
\(412\) | 14.6272 | + | 14.6272i | 0.720629 | + | 0.720629i | ||||
\(413\) | 15.8373 | + | 15.8373i | 0.779304 | + | 0.779304i | ||||
\(414\) | 11.5697 | 0.568620 | ||||||||
\(415\) | 23.3379 | + | 1.70404i | 1.14561 | + | 0.0836482i | ||||
\(416\) | 10.8323 | 0.531098 | ||||||||
\(417\) | 2.01695 | − | 2.01695i | 0.0987706 | − | 0.0987706i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 7.48185i | − | 0.365512i | −0.983158 | − | 0.182756i | \(-0.941498\pi\) | ||
0.983158 | − | 0.182756i | \(-0.0585019\pi\) | |||||||
\(420\) | 27.1582 | − | 23.4621i | 1.32518 | − | 1.14483i | ||||
\(421\) | 20.4230 | 0.995356 | 0.497678 | − | 0.867362i | \(-0.334186\pi\) | ||||
0.497678 | + | 0.867362i | \(0.334186\pi\) | |||||||
\(422\) | −0.675039 | − | 0.675039i | −0.0328604 | − | 0.0328604i | ||||
\(423\) | 5.56836 | − | 5.56836i | 0.270743 | − | 0.270743i | ||||
\(424\) | −39.2020 | −1.90382 | ||||||||
\(425\) | −10.0399 | − | 13.4952i | −0.487006 | − | 0.654612i | ||||
\(426\) | − | 34.4183i | − | 1.66757i | ||||||
\(427\) | 11.9025 | + | 11.9025i | 0.576004 | + | 0.576004i | ||||
\(428\) | −47.9083 | − | 47.9083i | −2.31573 | − | 2.31573i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 27.6305 | − | 23.8702i | 1.33246 | − | 1.15112i | ||||
\(431\) | − | 33.6660i | − | 1.62163i | −0.585301 | − | 0.810816i | \(-0.699024\pi\) | ||
0.585301 | − | 0.810816i | \(-0.300976\pi\) | |||||||
\(432\) | 18.9500 | + | 18.9500i | 0.911733 | + | 0.911733i | ||||
\(433\) | −8.20184 | + | 8.20184i | −0.394155 | + | 0.394155i | −0.876166 | − | 0.482010i | \(-0.839907\pi\) |
0.482010 | + | 0.876166i | \(0.339907\pi\) | |||||||
\(434\) | 18.3827i | 0.882397i | ||||||||
\(435\) | −0.958675 | + | 13.1296i | −0.0459650 | + | 0.629518i | ||||
\(436\) | − | 79.1850i | − | 3.79227i | ||||||
\(437\) | −4.13290 | + | 4.13290i | −0.197704 | + | 0.197704i | ||||
\(438\) | −33.9435 | + | 33.9435i | −1.62188 | + | 1.62188i | ||||
\(439\) | −10.7242 | −0.511837 | −0.255918 | − | 0.966698i | \(-0.582378\pi\) | ||||
−0.255918 | + | 0.966698i | \(0.582378\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.80411 | 0.181148 | ||||||||
\(442\) | −13.6043 | + | 13.6043i | −0.647091 | + | 0.647091i | ||||
\(443\) | 28.5202 | − | 28.5202i | 1.35504 | − | 1.35504i | 0.475111 | − | 0.879926i | \(-0.342408\pi\) |
0.879926 | − | 0.475111i | \(-0.157592\pi\) | |||||||
\(444\) | − | 28.4863i | − | 1.35190i | ||||||
\(445\) | 5.63879 | + | 6.52709i | 0.267304 | + | 0.309414i | ||||
\(446\) | 19.2921i | 0.913508i | ||||||||
\(447\) | 33.7476 | − | 33.7476i | 1.59621 | − | 1.59621i | ||||
\(448\) | −1.69353 | − | 1.69353i | −0.0800120 | − | 0.0800120i | ||||
\(449\) | 3.64160i | 0.171858i | 0.996301 | + | 0.0859290i | \(0.0273858\pi\) | ||||
−0.996301 | + | 0.0859290i | \(0.972614\pi\) | |||||||
\(450\) | −10.3698 | + | 7.71468i | −0.488835 | + | 0.363674i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 23.3865 | + | 23.3865i | 1.10001 | + | 1.10001i | ||||
\(453\) | −20.3947 | − | 20.3947i | −0.958227 | − | 0.958227i | ||||
\(454\) | − | 20.7962i | − | 0.976016i | ||||||
\(455\) | −6.90121 | + | 5.96199i | −0.323534 | + | 0.279502i | ||||
\(456\) | 16.1148 | 0.754646 | ||||||||
\(457\) | −12.7935 | + | 12.7935i | −0.598453 | + | 0.598453i | −0.939901 | − | 0.341448i | \(-0.889083\pi\) |
0.341448 | + | 0.939901i | \(0.389083\pi\) | |||||||
\(458\) | 13.6053 | + | 13.6053i | 0.635735 | + | 0.635735i | ||||
\(459\) | −13.3570 | −0.623451 | ||||||||
\(460\) | 44.1964 | + | 3.22705i | 2.06067 | + | 0.150462i | ||||
\(461\) | − | 35.5884i | − | 1.65751i | −0.559608 | − | 0.828757i | \(-0.689048\pi\) | ||
0.559608 | − | 0.828757i | \(-0.310952\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.46802 | + | 4.46802i | −0.207647 | + | 0.207647i | −0.803266 | − | 0.595620i | \(-0.796907\pi\) |
0.595620 | + | 0.803266i | \(0.296907\pi\) | |||||||
\(464\) | −19.8202 | −0.920131 | ||||||||
\(465\) | 1.30923 | − | 17.9307i | 0.0607140 | − | 0.831514i | ||||
\(466\) | −66.4685 | −3.07909 | ||||||||
\(467\) | −6.11843 | − | 6.11843i | −0.283127 | − | 0.283127i | 0.551228 | − | 0.834355i | \(-0.314160\pi\) |
−0.834355 | + | 0.551228i | \(0.814160\pi\) | |||||||
\(468\) | 7.20096 | + | 7.20096i | 0.332865 | + | 0.332865i | ||||
\(469\) | −6.29607 | −0.290726 | ||||||||
\(470\) | 33.1339 | − | 28.6246i | 1.52835 | − | 1.32035i | ||||
\(471\) | 27.0537 | 1.24657 | ||||||||
\(472\) | 53.9157 | − | 53.9157i | 2.48167 | − | 2.48167i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 5.82062i | 0.267350i | ||||||||
\(475\) | 0.948437 | − | 6.46008i | 0.0435173 | − | 0.296409i | ||||
\(476\) | −26.9308 | −1.23437 | ||||||||
\(477\) | −4.59173 | − | 4.59173i | −0.210241 | − | 0.210241i | ||||
\(478\) | 4.08028 | − | 4.08028i | 0.186628 | − | 0.186628i | ||||
\(479\) | 15.3836 | 0.702892 | 0.351446 | − | 0.936208i | \(-0.385690\pi\) | ||||
0.351446 | + | 0.936208i | \(0.385690\pi\) | |||||||
\(480\) | −14.0734 | − | 16.2904i | −0.642360 | − | 0.743554i | ||||
\(481\) | 7.23870i | 0.330056i | ||||||||
\(482\) | −11.2858 | − | 11.2858i | −0.514054 | − | 0.514054i | ||||
\(483\) | −11.4723 | − | 11.4723i | −0.522008 | − | 0.522008i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.73516 | − | 0.126694i | −0.0787894 | − | 0.00575290i | ||||
\(486\) | 25.8111i | 1.17082i | ||||||||
\(487\) | 4.20472 | + | 4.20472i | 0.190534 | + | 0.190534i | 0.795927 | − | 0.605393i | \(-0.206984\pi\) |
−0.605393 | + | 0.795927i | \(0.706984\pi\) | |||||||
\(488\) | 40.5203 | − | 40.5203i | 1.83427 | − | 1.83427i | ||||
\(489\) | 2.15167i | 0.0973019i | ||||||||
\(490\) | 21.0956 | + | 1.54032i | 0.953003 | + | 0.0695846i | ||||
\(491\) | 40.9507i | 1.84808i | 0.382298 | + | 0.924039i | \(0.375133\pi\) | ||||
−0.382298 | + | 0.924039i | \(0.624867\pi\) | |||||||
\(492\) | 8.18338 | − | 8.18338i | 0.368935 | − | 0.368935i | ||||
\(493\) | 6.98519 | − | 6.98519i | 0.314597 | − | 0.314597i | ||||
\(494\) | −7.46842 | −0.336020 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 27.0678 | 1.21538 | ||||||||
\(497\) | −8.65680 | + | 8.65680i | −0.388311 | + | 0.388311i | ||||
\(498\) | −37.6129 | + | 37.6129i | −1.68547 | + | 1.68547i | ||||
\(499\) | 23.1868i | 1.03798i | 0.854779 | + | 0.518992i | \(0.173692\pi\) | ||||
−0.854779 | + | 0.518992i | \(0.826308\pi\) | |||||||
\(500\) | −41.7643 | + | 26.5778i | −1.86776 | + | 1.18860i | ||||
\(501\) | 3.79291i | 0.169455i | ||||||||
\(502\) | −47.6774 | + | 47.6774i | −2.12795 | + | 2.12795i | ||||
\(503\) | 2.36415 | + | 2.36415i | 0.105412 | + | 0.105412i | 0.757846 | − | 0.652434i | \(-0.226252\pi\) |
−0.652434 | + | 0.757846i | \(0.726252\pi\) | |||||||
\(504\) | 11.3465i | 0.505412i | ||||||||
\(505\) | 14.2784 | + | 16.5277i | 0.635379 | + | 0.735473i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 11.2157 | + | 11.2157i | 0.498108 | + | 0.498108i | ||||
\(508\) | 0.645558 | + | 0.645558i | 0.0286420 | + | 0.0286420i | ||||
\(509\) | 22.1462i | 0.981612i | 0.871269 | + | 0.490806i | \(0.163298\pi\) | ||||
−0.871269 | + | 0.490806i | \(0.836702\pi\) | |||||||
\(510\) | 38.1340 | + | 2.78439i | 1.68860 | + | 0.123295i | ||||
\(511\) | 17.0748 | 0.755344 | ||||||||
\(512\) | −35.8345 | + | 35.8345i | −1.58368 | + | 1.58368i | ||||
\(513\) | −3.66633 | − | 3.66633i | −0.161872 | − | 0.161872i | ||||
\(514\) | −50.1336 | −2.21130 | ||||||||
\(515\) | −0.760746 | + | 10.4189i | −0.0335225 | + | 0.459110i | ||||
\(516\) | 57.1759i | 2.51703i | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −10.4011 | + | 10.4011i | −0.456998 | + | 0.456998i | ||||
\(519\) | 37.9872 | 1.66745 | ||||||||
\(520\) | 20.2967 | + | 23.4941i | 0.890067 | + | 1.03028i | ||||
\(521\) | −10.6262 | −0.465543 | −0.232772 | − | 0.972531i | \(-0.574779\pi\) | ||||
−0.232772 | + | 0.972531i | \(0.574779\pi\) | |||||||
\(522\) | −5.36745 | − | 5.36745i | −0.234927 | − | 0.234927i | ||||
\(523\) | −30.5658 | − | 30.5658i | −1.33655 | − | 1.33655i | −0.899380 | − | 0.437167i | \(-0.855982\pi\) |
−0.437167 | − | 0.899380i | \(-0.644018\pi\) | |||||||
\(524\) | 2.44283 | 0.106716 | ||||||||
\(525\) | 17.9322 | + | 2.63271i | 0.782625 | + | 0.114901i | ||||
\(526\) | −21.2169 | −0.925101 | ||||||||
\(527\) | −9.53941 | + | 9.53941i | −0.415543 | + | 0.415543i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.96712i | 0.129005i | ||||||||
\(530\) | −23.6042 | − | 27.3226i | −1.02530 | − | 1.18682i | ||||
\(531\) | 12.6303 | 0.548109 | ||||||||
\(532\) | −7.39217 | − | 7.39217i | −0.320491 | − | 0.320491i | ||||
\(533\) | −2.07950 | + | 2.07950i | −0.0900729 | + | 0.0900729i | ||||
\(534\) | −19.6073 | −0.848492 | ||||||||
\(535\) | 2.49167 | − | 34.1249i | 0.107724 | − | 1.47535i | ||||
\(536\) | 21.4340i | 0.925807i | ||||||||
\(537\) | −23.2255 | − | 23.2255i | −1.00225 | − | 1.00225i | ||||
\(538\) | 17.4086 | + | 17.4086i | 0.750538 | + | 0.750538i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −2.86274 | + | 39.2069i | −0.123193 | + | 1.68720i | ||||
\(541\) | − | 21.1112i | − | 0.907643i | −0.891093 | − | 0.453821i | \(-0.850060\pi\) | ||
0.891093 | − | 0.453821i | \(-0.149940\pi\) | |||||||
\(542\) | 5.47045 | + | 5.47045i | 0.234976 | + | 0.234976i | ||||
\(543\) | −21.0715 | + | 21.0715i | −0.904264 | + | 0.904264i | ||||
\(544\) | 16.1541i | 0.692600i | ||||||||
\(545\) | 30.2608 | − | 26.1424i | 1.29623 | − | 1.11982i | ||||
\(546\) | − | 20.7312i | − | 0.887212i | ||||||
\(547\) | −0.985647 | + | 0.985647i | −0.0421432 | + | 0.0421432i | −0.727864 | − | 0.685721i | \(-0.759487\pi\) |
0.685721 | + | 0.727864i | \(0.259487\pi\) | |||||||
\(548\) | −48.4552 | + | 48.4552i | −2.06990 | + | 2.06990i | ||||
\(549\) | 9.49230 | 0.405121 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.83469 | 0.163363 | ||||||||
\(552\) | −39.0556 | + | 39.0556i | −1.66232 | + | 1.66232i | ||||
\(553\) | 1.46399 | − | 1.46399i | 0.0622551 | − | 0.0622551i | ||||
\(554\) | − | 6.03440i | − | 0.256377i | ||||||
\(555\) | 10.8861 | − | 9.40455i | 0.462089 | − | 0.399201i | ||||
\(556\) | 6.29949i | 0.267158i | ||||||||
\(557\) | 2.70987 | − | 2.70987i | 0.114821 | − | 0.114821i | −0.647362 | − | 0.762183i | \(-0.724128\pi\) |
0.762183 | + | 0.647362i | \(0.224128\pi\) | |||||||
\(558\) | 7.33012 | + | 7.33012i | 0.310309 | + | 0.310309i | ||||
\(559\) | − | 14.5291i | − | 0.614514i | ||||||
\(560\) | −1.98715 | + | 27.2152i | −0.0839722 | + | 1.15005i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −50.6125 | − | 50.6125i | −2.13496 | − | 2.13496i | ||||
\(563\) | −1.72685 | − | 1.72685i | −0.0727781 | − | 0.0727781i | 0.669781 | − | 0.742559i | \(-0.266388\pi\) |
−0.742559 | + | 0.669781i | \(0.766388\pi\) | |||||||
\(564\) | 68.5640i | 2.88707i | ||||||||
\(565\) | −1.21631 | + | 16.6581i | −0.0511705 | + | 0.700811i | ||||
\(566\) | −43.1342 | −1.81307 | ||||||||
\(567\) | 14.0876 | − | 14.0876i | 0.591626 | − | 0.591626i | ||||
\(568\) | 29.4707 | + | 29.4707i | 1.23656 | + | 1.23656i | ||||
\(569\) | 6.44490 | 0.270184 | 0.135092 | − | 0.990833i | \(-0.456867\pi\) | ||||
0.135092 | + | 0.990833i | \(0.456867\pi\) | |||||||
\(570\) | 9.70301 | + | 11.2316i | 0.406414 | + | 0.470439i | ||||
\(571\) | − | 13.2864i | − | 0.556019i | −0.960578 | − | 0.278009i | \(-0.910325\pi\) | ||
0.960578 | − | 0.278009i | \(-0.0896747\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 2.70715 | − | 2.70715i | 0.113093 | − | 0.113093i | ||||
\(574\) | −5.97595 | −0.249431 | ||||||||
\(575\) | 13.3579 | + | 17.9552i | 0.557064 | + | 0.748782i | ||||
\(576\) | −1.35060 | −0.0562749 | ||||||||
\(577\) | 13.2432 | + | 13.2432i | 0.551320 | + | 0.551320i | 0.926822 | − | 0.375502i | \(-0.122530\pi\) |
−0.375502 | + | 0.926822i | \(0.622530\pi\) | |||||||
\(578\) | 10.1885 | + | 10.1885i | 0.423786 | + | 0.423786i | ||||
\(579\) | 22.8215 | 0.948429 | ||||||||
\(580\) | −19.0066 | − | 22.0008i | −0.789206 | − | 0.913533i | ||||
\(581\) | 18.9206 | 0.784959 | ||||||||
\(582\) | 2.79649 | − | 2.79649i | 0.115918 | − | 0.115918i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | − | 58.1284i | − | 2.40537i | ||||||
\(585\) | −0.374516 | + | 5.12922i | −0.0154843 | + | 0.212067i | ||||
\(586\) | 27.0894 | 1.11905 | ||||||||
\(587\) | 5.96027 | + | 5.96027i | 0.246006 | + | 0.246006i | 0.819329 | − | 0.573323i | \(-0.194346\pi\) |
−0.573323 | + | 0.819329i | \(0.694346\pi\) | |||||||
\(588\) | −23.4203 | + | 23.4203i | −0.965836 | + | 0.965836i | ||||
\(589\) | −5.23690 | −0.215783 | ||||||||
\(590\) | 70.0412 | + | 5.11414i | 2.88355 | + | 0.210546i | ||||
\(591\) | 39.1537i | 1.61057i | ||||||||
\(592\) | 15.3152 | + | 15.3152i | 0.629450 | + | 0.629450i | ||||
\(593\) | 4.37233 | + | 4.37233i | 0.179550 | + | 0.179550i | 0.791160 | − | 0.611610i | \(-0.209478\pi\) |
−0.611610 | + | 0.791160i | \(0.709478\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.89103 | − | 10.2917i | −0.364497 | − | 0.421918i | ||||
\(596\) | 105.403i | 4.31747i | ||||||||
\(597\) | −31.6861 | − | 31.6861i | −1.29682 | − | 1.29682i | ||||
\(598\) | 18.1003 | − | 18.1003i | 0.740178 | − | 0.740178i | ||||
\(599\) | − | 36.5897i | − | 1.49502i | −0.664253 | − | 0.747508i | \(-0.731250\pi\) | ||
0.664253 | − | 0.747508i | \(-0.268750\pi\) | |||||||
\(600\) | 8.96266 | − | 61.0473i | 0.365899 | − | 2.49224i | ||||
\(601\) | 10.7707i | 0.439347i | 0.975573 | + | 0.219674i | \(0.0704993\pi\) | ||||
−0.975573 | + | 0.219674i | \(0.929501\pi\) | |||||||
\(602\) | 20.8764 | − | 20.8764i | 0.850860 | − | 0.850860i | ||||
\(603\) | −2.51057 | + | 2.51057i | −0.102238 | + | 0.102238i | ||||
\(604\) | 63.6982 | 2.59184 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −49.6491 | −2.01686 | ||||||||
\(607\) | −23.4018 | + | 23.4018i | −0.949851 | + | 0.949851i | −0.998801 | − | 0.0489504i | \(-0.984412\pi\) |
0.0489504 | + | 0.998801i | \(0.484412\pi\) | |||||||
\(608\) | −4.43409 | + | 4.43409i | −0.179826 | + | 0.179826i | ||||
\(609\) | 10.6445i | 0.431337i | ||||||||
\(610\) | 52.6394 | + | 3.84353i | 2.13131 | + | 0.155620i | ||||
\(611\) | − | 17.4229i | − | 0.704857i | ||||||
\(612\) | −10.7387 | + | 10.7387i | −0.434086 | + | 0.434086i | ||||
\(613\) | 15.3008 | + | 15.3008i | 0.617992 | + | 0.617992i | 0.945016 | − | 0.327024i | \(-0.106046\pi\) |
−0.327024 | + | 0.945016i | \(0.606046\pi\) | |||||||
\(614\) | 82.4378i | 3.32692i | ||||||||
\(615\) | 5.82899 | + | 0.425611i | 0.235048 | + | 0.0171623i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −23.2611 | − | 23.2611i | −0.936455 | − | 0.936455i | 0.0616431 | − | 0.998098i | \(-0.480366\pi\) |
−0.998098 | + | 0.0616431i | \(0.980366\pi\) | |||||||
\(618\) | −16.7917 | − | 16.7917i | −0.675463 | − | 0.675463i | ||||
\(619\) | − | 41.4239i | − | 1.66497i | −0.554050 | − | 0.832483i | \(-0.686918\pi\) | ||
0.554050 | − | 0.832483i | \(-0.313082\pi\) | |||||||
\(620\) | 25.9566 | + | 30.0457i | 1.04244 | + | 1.20666i | ||||
\(621\) | 17.7713 | 0.713138 | ||||||||
\(622\) | 24.8986 | − | 24.8986i | 0.998342 | − | 0.998342i | ||||
\(623\) | 4.93159 | + | 4.93159i | 0.197580 | + | 0.197580i | ||||
\(624\) | −30.5258 | −1.22201 | ||||||||
\(625\) | −23.9450 | − | 7.18586i | −0.957800 | − | 0.287435i | ||||
\(626\) | 44.0839i | 1.76195i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −42.2480 | + | 42.2480i | −1.68588 | + | 1.68588i | ||||
\(629\) | −10.7950 | −0.430424 | ||||||||
\(630\) | −7.90817 | + | 6.83191i | −0.315069 | + | 0.272190i | ||||
\(631\) | −31.4596 | −1.25239 | −0.626193 | − | 0.779668i | \(-0.715388\pi\) | ||||
−0.626193 | + | 0.779668i | \(0.715388\pi\) | |||||||
\(632\) | −4.98392 | − | 4.98392i | −0.198250 | − | 0.198250i | ||||
\(633\) | 0.533813 | + | 0.533813i | 0.0212172 | + | 0.0212172i | ||||
\(634\) | 40.9629 | 1.62685 | ||||||||
\(635\) | −0.0335749 | + | 0.459829i | −0.00133238 | + | 0.0182477i | ||||
\(636\) | 56.5387 | 2.24191 | ||||||||
\(637\) | 5.95137 | − | 5.95137i | 0.235802 | − | 0.235802i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 6.90382i | 0.273111i | ||||||||
\(640\) | −28.9078 | − | 2.11074i | −1.14268 | − | 0.0834343i | ||||
\(641\) | 20.5215 | 0.810551 | 0.405275 | − | 0.914195i | \(-0.367176\pi\) | ||||
0.405275 | + | 0.914195i | \(0.367176\pi\) | |||||||
\(642\) | 54.9979 | + | 54.9979i | 2.17059 | + | 2.17059i | ||||
\(643\) | 12.4612 | − | 12.4612i | 0.491422 | − | 0.491422i | −0.417332 | − | 0.908754i | \(-0.637035\pi\) |
0.908754 | + | 0.417332i | \(0.137035\pi\) | |||||||
\(644\) | 35.8311 | 1.41194 | ||||||||
\(645\) | −21.8499 | + | 18.8762i | −0.860339 | + | 0.743251i | ||||
\(646\) | − | 11.1376i | − | 0.438201i | ||||||
\(647\) | 4.07400 | + | 4.07400i | 0.160166 | + | 0.160166i | 0.782640 | − | 0.622474i | \(-0.213873\pi\) |
−0.622474 | + | 0.782640i | \(0.713873\pi\) | |||||||
\(648\) | −47.9592 | − | 47.9592i | −1.88401 | − | 1.88401i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −4.15374 | + | 28.2924i | −0.162923 | + | 1.10972i | ||||
\(651\) | − | 14.5368i | − | 0.569743i | ||||||
\(652\) | −3.36012 | − | 3.36012i | −0.131593 | − | 0.131593i | ||||
\(653\) | −4.12540 | + | 4.12540i | −0.161439 | + | 0.161439i | −0.783204 | − | 0.621765i | \(-0.786416\pi\) |
0.621765 | + | 0.783204i | \(0.286416\pi\) | |||||||
\(654\) | 90.9031i | 3.55459i | ||||||||
\(655\) | 0.806486 | + | 0.933536i | 0.0315120 | + | 0.0364763i | ||||
\(656\) | 8.79933i | 0.343556i | ||||||||
\(657\) | 6.80859 | − | 6.80859i | 0.265628 | − | 0.265628i | ||||
\(658\) | 25.0346 | − | 25.0346i | 0.975949 | − | 0.975949i | ||||
\(659\) | −5.21347 | −0.203088 | −0.101544 | − | 0.994831i | \(-0.532378\pi\) | ||||
−0.101544 | + | 0.994831i | \(0.532378\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.56016 | 0.177369 | 0.0886847 | − | 0.996060i | \(-0.471734\pi\) | ||||
0.0886847 | + | 0.996060i | \(0.471734\pi\) | |||||||
\(662\) | 26.3240 | − | 26.3240i | 1.02311 | − | 1.02311i | ||||
\(663\) | 10.7581 | − | 10.7581i | 0.417811 | − | 0.417811i | ||||
\(664\) | − | 64.4122i | − | 2.49968i | ||||||
\(665\) | 0.384460 | − | 5.26542i | 0.0149087 | − | 0.204184i | ||||
\(666\) | 8.29490i | 0.321421i | ||||||||
\(667\) | −9.29370 | + | 9.29370i | −0.359854 | + | 0.359854i | ||||
\(668\) | −5.92314 | − | 5.92314i | −0.229173 | − | 0.229173i | ||||
\(669\) | − | 15.2560i | − | 0.589830i | ||||||
\(670\) | −14.9389 | + | 12.9058i | −0.577139 | + | 0.498593i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −12.3084 | − | 12.3084i | −0.474805 | − | 0.474805i | ||||
\(673\) | −0.395546 | − | 0.395546i | −0.0152472 | − | 0.0152472i | 0.699442 | − | 0.714689i | \(-0.253432\pi\) |
−0.714689 | + | 0.699442i | \(0.753432\pi\) | |||||||
\(674\) | − | 34.2040i | − | 1.31749i | ||||||
\(675\) | −15.9282 | + | 11.8499i | −0.613075 | + | 0.456103i | ||||
\(676\) | −35.0297 | −1.34730 | ||||||||
\(677\) | −20.5853 | + | 20.5853i | −0.791158 | + | 0.791158i | −0.981683 | − | 0.190524i | \(-0.938981\pi\) |
0.190524 | + | 0.981683i | \(0.438981\pi\) | |||||||
\(678\) | −26.8473 | − | 26.8473i | −1.03106 | − | 1.03106i | ||||
\(679\) | −1.40673 | −0.0539855 | ||||||||
\(680\) | −35.0364 | + | 30.2681i | −1.34359 | + | 1.16073i | ||||
\(681\) | 16.4454i | 0.630190i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.43554 | − | 5.43554i | 0.207985 | − | 0.207985i | −0.595425 | − | 0.803411i | \(-0.703016\pi\) |
0.803411 | + | 0.595425i | \(0.203016\pi\) | |||||||
\(684\) | −5.89527 | −0.225411 | ||||||||
\(685\) | −34.5145 | − | 2.52011i | −1.31873 | − | 0.0962886i | ||||
\(686\) | 49.1899 | 1.87808 | ||||||||
\(687\) | −10.7589 | − | 10.7589i | −0.410479 | − | 0.410479i | ||||
\(688\) | −30.7397 | − | 30.7397i | −1.17194 | − | 1.17194i | ||||
\(689\) | −14.3672 | −0.547345 | ||||||||
\(690\) | −50.7367 | − | 3.70460i | −1.93151 | − | 0.141032i | ||||
\(691\) | −9.44012 | −0.359119 | −0.179560 | − | 0.983747i | \(-0.557467\pi\) | ||||
−0.179560 | + | 0.983747i | \(0.557467\pi\) | |||||||
\(692\) | −59.3222 | + | 59.3222i | −2.25509 | + | 2.25509i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 31.0215i | − | 1.17756i | ||||||
\(695\) | −2.40737 | + | 2.07974i | −0.0913166 | + | 0.0788889i | ||||
\(696\) | 36.2376 | 1.37358 | ||||||||
\(697\) | −3.10112 | − | 3.10112i | −0.117463 | − | 0.117463i | ||||
\(698\) | 36.5202 | − | 36.5202i | 1.38231 | − | 1.38231i | ||||
\(699\) | 52.5625 | 1.98810 | ||||||||
\(700\) | −32.1148 | + | 23.8922i | −1.21383 | + | 0.903039i | ||||
\(701\) | 19.7085i | 0.744379i | 0.928157 | + | 0.372189i | \(0.121393\pi\) | ||||
−0.928157 | + | 0.372189i | \(0.878607\pi\) | |||||||
\(702\) | 16.0569 | + | 16.0569i | 0.606030 | + | 0.606030i | ||||
\(703\) | −2.96308 | − | 2.96308i | −0.111755 | − | 0.111755i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −26.2019 | + | 22.6360i | −0.986822 | + | 0.852520i | ||||
\(706\) | − | 49.4385i | − | 1.86064i | ||||||
\(707\) | 12.4876 | + | 12.4876i | 0.469645 | + | 0.469645i | ||||
\(708\) | −77.7595 | + | 77.7595i | −2.92238 | + | 2.92238i | ||||
\(709\) | 44.4596i | 1.66971i | 0.550467 | + | 0.834857i | \(0.314450\pi\) | ||||
−0.550467 | + | 0.834857i | \(0.685550\pi\) | |||||||
\(710\) | −2.79543 | + | 38.2850i | −0.104910 | + | 1.43681i | ||||
\(711\) | − | 1.16753i | − | 0.0437859i | ||||||
\(712\) | 16.7888 | − | 16.7888i | 0.629187 | − | 0.629187i | ||||
\(713\) | 12.6921 | − | 12.6921i | 0.475321 | − | 0.475321i | ||||
\(714\) | 30.9161 | 1.15701 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 72.5395 | 2.71093 | ||||||||
\(717\) | −3.22664 | + | 3.22664i | −0.120501 | + | 0.120501i | ||||
\(718\) | −29.6156 | + | 29.6156i | −1.10524 | + | 1.10524i | ||||
\(719\) | − | 23.9887i | − | 0.894629i | −0.894377 | − | 0.447315i | \(-0.852380\pi\) | ||
0.894377 | − | 0.447315i | \(-0.147620\pi\) | |||||||
\(720\) | 10.0597 | + | 11.6445i | 0.374903 | + | 0.433963i | ||||
\(721\) | 8.44684i | 0.314577i | ||||||||
\(722\) | −31.0048 | + | 31.0048i | −1.15388 | + | 1.15388i | ||||
\(723\) | 8.92468 | + | 8.92468i | 0.331912 | + | 0.331912i | ||||
\(724\) | − | 65.8119i | − | 2.44588i | ||||||
\(725\) | 2.13276 | − | 14.5268i | 0.0792087 | − | 0.539513i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −17.6187 | − | 17.6187i | −0.653441 | − | 0.653441i | 0.300379 | − | 0.953820i | \(-0.402887\pi\) |
−0.953820 | + | 0.300379i | \(0.902887\pi\) | |||||||
\(728\) | 17.7511 | + | 17.7511i | 0.657900 | + | 0.657900i | ||||
\(729\) | 12.6464i | 0.468387i | ||||||||
\(730\) | 40.5138 | − | 35.0001i | 1.49948 | − | 1.29541i | ||||
\(731\) | 21.6670 | 0.801383 | ||||||||
\(732\) | −58.4400 | + | 58.4400i | −2.16001 | + | 2.16001i | ||||
\(733\) | 0.0382554 | + | 0.0382554i | 0.00141300 | + | 0.00141300i | 0.707813 | − | 0.706400i | \(-0.249682\pi\) |
−0.706400 | + | 0.707813i | \(0.749682\pi\) | |||||||
\(734\) | 16.3308 | 0.602782 | ||||||||
\(735\) | −16.6822 | − | 1.21807i | −0.615331 | − | 0.0449291i | ||||
\(736\) | − | 21.4928i | − | 0.792235i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −2.38292 | + | 2.38292i | −0.0877163 | + | 0.0877163i | ||||
\(739\) | −19.2550 | −0.708305 | −0.354153 | − | 0.935188i | \(-0.615231\pi\) | ||||
−0.354153 | + | 0.935188i | \(0.615231\pi\) | |||||||
\(740\) | −2.31363 | + | 31.6866i | −0.0850508 | + | 1.16482i | ||||
\(741\) | 5.90594 | 0.216960 | ||||||||
\(742\) | −20.6438 | − | 20.6438i | −0.757858 | − | 0.757858i | ||||
\(743\) | 5.26688 | + | 5.26688i | 0.193223 | + | 0.193223i | 0.797087 | − | 0.603864i | \(-0.206373\pi\) |
−0.603864 | + | 0.797087i | \(0.706373\pi\) | |||||||
\(744\) | −49.4883 | −1.81433 | ||||||||
\(745\) | −40.2800 | + | 34.7981i | −1.47575 | + | 1.27490i | ||||
\(746\) | 34.7657 | 1.27286 | ||||||||
\(747\) | 7.54462 | − | 7.54462i | 0.276043 | − | 0.276043i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 27.6659i | − | 1.01089i | ||||||
\(750\) | 47.9448 | − | 30.5109i | 1.75070 | − | 1.11410i | ||||
\(751\) | −30.1486 | −1.10014 | −0.550069 | − | 0.835119i | \(-0.685399\pi\) | ||||
−0.550069 | + | 0.835119i | \(0.685399\pi\) | |||||||
\(752\) | −36.8624 | − | 36.8624i | −1.34423 | − | 1.34423i | ||||
\(753\) | 37.7027 | − | 37.7027i | 1.37396 | − | 1.37396i | ||||
\(754\) | −16.7943 | −0.611612 | ||||||||
\(755\) | 21.0295 | + | 24.3424i | 0.765344 | + | 0.885912i | ||||
\(756\) | 31.7860i | 1.15605i | ||||||||
\(757\) | 31.4681 | + | 31.4681i | 1.14373 | + | 1.14373i | 0.987763 | + | 0.155964i | \(0.0498484\pi\) |
0.155964 | + | 0.987763i | \(0.450152\pi\) | |||||||
\(758\) | −38.5456 | − | 38.5456i | −1.40004 | − | 1.40004i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −17.9253 | − | 1.30883i | −0.650218 | − | 0.0474764i | ||||
\(761\) | 47.1118i | 1.70780i | 0.520435 | + | 0.853902i | \(0.325770\pi\) | ||||
−0.520435 | + | 0.853902i | \(0.674230\pi\) | |||||||
\(762\) | −0.741090 | − | 0.741090i | −0.0268469 | − | 0.0268469i | ||||
\(763\) | 22.8637 | − | 22.8637i | 0.827722 | − | 0.827722i | ||||
\(764\) | 8.45517i | 0.305897i | ||||||||
\(765\) | −7.64913 | − | 0.558510i | −0.276555 | − | 0.0201930i | ||||
\(766\) | − | 0.769298i | − | 0.0277959i | ||||||
\(767\) | 19.7596 | − | 19.7596i | 0.713478 | − | 0.713478i | ||||
\(768\) | 42.8339 | − | 42.8339i | 1.54564 | − | 1.54564i | ||||
\(769\) | 29.7849 | 1.07407 | 0.537036 | − | 0.843559i | \(-0.319544\pi\) | ||||
0.537036 | + | 0.843559i | \(0.319544\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 39.6451 | 1.42778 | ||||||||
\(772\) | −35.6388 | + | 35.6388i | −1.28267 | + | 1.28267i | ||||
\(773\) | 5.03698 | − | 5.03698i | 0.181167 | − | 0.181167i | −0.610697 | − | 0.791864i | \(-0.709111\pi\) |
0.791864 | + | 0.610697i | \(0.209111\pi\) | |||||||
\(774\) | − | 16.6490i | − | 0.598436i | ||||||
\(775\) | −2.91263 | + | 19.8388i | −0.104625 | + | 0.712629i | ||||
\(776\) | 4.78900i | 0.171915i | ||||||||
\(777\) | 8.22506 | − | 8.22506i | 0.295073 | − | 0.295073i | ||||
\(778\) | 6.45620 | + | 6.45620i | 0.231466 | + | 0.231466i | ||||
\(779\) | − | 1.70244i | − | 0.0609962i | ||||||
\(780\) | −29.2727 | − | 33.8842i | −1.04813 | − | 1.21325i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 26.9928 | + | 26.9928i | 0.965260 | + | 0.965260i | ||||
\(783\) | −8.24451 | − | 8.24451i | −0.294635 | − | 0.294635i | ||||
\(784\) | − | 25.1831i | − | 0.899395i | ||||||
\(785\) | −30.0931 | − | 2.19728i | −1.07407 | − | 0.0784244i | ||||
\(786\) | −2.80433 | −0.100027 | ||||||||
\(787\) | −20.4049 | + | 20.4049i | −0.727357 | + | 0.727357i | −0.970093 | − | 0.242735i | \(-0.921955\pi\) |
0.242735 | + | 0.970093i | \(0.421955\pi\) | |||||||
\(788\) | −61.1438 | − | 61.1438i | −2.17816 | − | 2.17816i | ||||
\(789\) | 16.7781 | 0.597315 | ||||||||
\(790\) | 0.472746 | − | 6.47455i | 0.0168196 | − | 0.230354i | ||||
\(791\) | 13.5051i | 0.480187i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 14.8503 | − | 14.8503i | 0.527350 | − | 0.527350i | ||||
\(794\) | 79.5188 | 2.82202 | ||||||||
\(795\) | 18.6659 | + | 21.6064i | 0.662011 | + | 0.766301i | ||||
\(796\) | 98.9641 | 3.50769 | ||||||||
\(797\) | −21.8770 | − | 21.8770i | −0.774923 | − | 0.774923i | 0.204039 | − | 0.978963i | \(-0.434593\pi\) |
−0.978963 | + | 0.204039i | \(0.934593\pi\) | |||||||
\(798\) | 8.48609 | + | 8.48609i | 0.300404 | + | 0.300404i | ||||
\(799\) | 25.9826 | 0.919198 | ||||||||
\(800\) | 14.3314 | + | 19.2636i | 0.506691 | + | 0.681073i | ||||
\(801\) | 3.93295 | 0.138964 | ||||||||
\(802\) | −17.9225 | + | 17.9225i | −0.632866 | + | 0.632866i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | − | 30.9130i | − | 1.09022i | ||||||
\(805\) | 11.8294 | + | 13.6930i | 0.416932 | + | 0.482613i | ||||
\(806\) | 22.9354 | 0.807863 | ||||||||
\(807\) | −13.7665 | − | 13.7665i | −0.484605 | − | 0.484605i | ||||
\(808\) | 42.5121 | − | 42.5121i | 1.49557 | − | 1.49557i | ||||
\(809\) | 19.6707 | 0.691584 | 0.345792 | − | 0.938311i | \(-0.387610\pi\) | ||||
0.345792 | + | 0.938311i | \(0.387610\pi\) | |||||||
\(810\) | 4.54914 | − | 62.3032i | 0.159840 | − | 2.18911i | ||||
\(811\) | − | 42.2600i | − | 1.48395i | −0.670428 | − | 0.741975i | \(-0.733890\pi\) | ||
0.670428 | − | 0.741975i | \(-0.266110\pi\) | |||||||
\(812\) | −16.6228 | − | 16.6228i | −0.583347 | − | 0.583347i | ||||
\(813\) | −4.32597 | − | 4.32597i | −0.151718 | − | 0.151718i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.174757 | − | 2.39340i | 0.00612147 | − | 0.0838373i | ||||
\(816\) | − | 45.5227i | − | 1.59361i | ||||||
\(817\) | 5.94732 | + | 5.94732i | 0.208070 | + | 0.208070i | ||||
\(818\) | −54.4832 | + | 54.4832i | −1.90496 | + | 1.90496i | ||||
\(819\) | 4.15838i | 0.145306i | ||||||||
\(820\) | −9.76741 | + | 8.43811i | −0.341093 | + | 0.294672i | ||||
\(821\) | − | 53.1732i | − | 1.85576i | −0.372881 | − | 0.927879i | \(-0.621630\pi\) | ||
0.372881 | − | 0.927879i | \(-0.378370\pi\) | |||||||
\(822\) | 55.6258 | − | 55.6258i | 1.94017 | − | 1.94017i | ||||
\(823\) | −0.990270 | + | 0.990270i | −0.0345186 | + | 0.0345186i | −0.724155 | − | 0.689637i | \(-0.757770\pi\) |
0.689637 | + | 0.724155i | \(0.257770\pi\) | |||||||
\(824\) | 28.7559 | 1.00176 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 56.7841 | 1.97577 | ||||||||
\(827\) | 12.2233 | − | 12.2233i | 0.425045 | − | 0.425045i | −0.461891 | − | 0.886936i | \(-0.652829\pi\) |
0.886936 | + | 0.461891i | \(0.152829\pi\) | |||||||
\(828\) | 14.2877 | − | 14.2877i | 0.496532 | − | 0.496532i | ||||
\(829\) | 35.8923i | 1.24659i | 0.781987 | + | 0.623295i | \(0.214206\pi\) | ||||
−0.781987 | + | 0.623295i | \(0.785794\pi\) | |||||||
\(830\) | 44.8935 | − | 38.7837i | 1.55827 | − | 1.34620i | ||||
\(831\) | 4.77194i | 0.165537i | ||||||||
\(832\) | −2.11296 | + | 2.11296i | −0.0732536 | + | 0.0732536i | ||||
\(833\) | 8.87520 | + | 8.87520i | 0.307507 | + | 0.307507i | ||||
\(834\) | − | 7.23171i | − | 0.250414i | ||||||
\(835\) | 0.308058 | − | 4.21903i | 0.0106608 | − | 0.146006i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 11.2592 | + | 11.2592i | 0.389176 | + | 0.389176i | ||||
\(838\) | −13.4129 | − | 13.4129i | −0.463342 | − | 0.463342i | ||||
\(839\) | − | 4.96077i | − | 0.171265i | −0.996327 | − | 0.0856324i | \(-0.972709\pi\) | ||
0.996327 | − | 0.0856324i | \(-0.0272911\pi\) | |||||||
\(840\) | 3.63312 | − | 49.7578i | 0.125355 | − | 1.71681i | ||||
\(841\) | −20.3769 | −0.702651 | ||||||||
\(842\) | 36.6130 | − | 36.6130i | 1.26177 | − | 1.26177i | ||||
\(843\) | 40.0238 | + | 40.0238i | 1.37849 | + | 1.37849i | ||||
\(844\) | −1.66724 | −0.0573888 | ||||||||
\(845\) | −11.5648 | − | 13.3867i | −0.397843 | − | 0.460517i | ||||
\(846\) | − | 19.9651i | − | 0.686415i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −30.3971 | + | 30.3971i | −1.04384 | + | 1.04384i | ||||
\(849\) | 34.1101 | 1.17065 | ||||||||
\(850\) | −42.1920 | − | 6.19442i | −1.44717 | − | 0.212467i | ||||
\(851\) | 14.3626 | 0.492343 | ||||||||
\(852\) | −42.5039 | − | 42.5039i | −1.45616 | − | 1.45616i | ||||
\(853\) | 18.7929 | + | 18.7929i | 0.643457 | + | 0.643457i | 0.951404 | − | 0.307947i | \(-0.0996419\pi\) |
−0.307947 | + | 0.951404i | \(0.599642\pi\) | |||||||
\(854\) | 42.6761 | 1.46034 | ||||||||
\(855\) | −1.94629 | − | 2.25290i | −0.0665616 | − | 0.0770474i | ||||
\(856\) | −94.1841 | −3.21915 | ||||||||
\(857\) | −1.04396 | + | 1.04396i | −0.0356609 | + | 0.0356609i | −0.724712 | − | 0.689051i | \(-0.758027\pi\) |
0.689051 | + | 0.724712i | \(0.258027\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 13.9402i | 0.475633i | 0.971310 | + | 0.237816i | \(0.0764316\pi\) | ||||
−0.971310 | + | 0.237816i | \(0.923568\pi\) | |||||||
\(860\) | 4.64378 | − | 63.5994i | 0.158352 | − | 2.16872i | ||||
\(861\) | 4.72571 | 0.161052 | ||||||||
\(862\) | −60.3540 | − | 60.3540i | −2.05567 | − | 2.05567i | ||||
\(863\) | −36.2809 | + | 36.2809i | −1.23502 | + | 1.23502i | −0.273002 | + | 0.962013i | \(0.588017\pi\) |
−0.962013 | + | 0.273002i | \(0.911983\pi\) | |||||||
\(864\) | 19.0664 | 0.648652 | ||||||||
\(865\) | −42.2550 | − | 3.08530i | −1.43671 | − | 0.104903i | ||||
\(866\) | 29.4074i | 0.999304i | ||||||||
\(867\) | −8.05696 | − | 8.05696i | −0.273629 | − | 0.273629i | ||||
\(868\) | 22.7012 | + | 22.7012i | 0.770529 | + | 0.770529i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 21.8192 | + | 25.2565i | 0.739742 | + | 0.856277i | ||||
\(871\) | 7.85536i | 0.266169i | ||||||||
\(872\) | −77.8359 | − | 77.8359i | −2.63586 | − | 2.63586i | ||||
\(873\) | −0.560937 | + | 0.560937i | −0.0189848 | + | 0.0189848i | ||||
\(874\) | 14.8184i | 0.501239i | ||||||||
\(875\) | −19.7330 | − | 4.38493i | −0.667096 | − | 0.148238i | ||||
\(876\) | 83.8352i | 2.83253i | ||||||||
\(877\) | −4.71867 | + | 4.71867i | −0.159338 | + | 0.159338i | −0.782273 | − | 0.622935i | \(-0.785940\pi\) |
0.622935 | + | 0.782273i | \(0.285940\pi\) | |||||||
\(878\) | −19.2255 | + | 19.2255i | −0.648831 | + | 0.648831i | ||||
\(879\) | −21.4220 | −0.722546 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14.4573 | −0.487080 | −0.243540 | − | 0.969891i | \(-0.578309\pi\) | ||||
−0.243540 | + | 0.969891i | \(0.578309\pi\) | |||||||
\(882\) | 6.81974 | − | 6.81974i | 0.229633 | − | 0.229633i | ||||
\(883\) | 7.39720 | − | 7.39720i | 0.248936 | − | 0.248936i | −0.571598 | − | 0.820534i | \(-0.693676\pi\) |
0.820534 | + | 0.571598i | \(0.193676\pi\) | |||||||
\(884\) | 33.6005i | 1.13011i | ||||||||
\(885\) | −55.3878 | − | 4.04420i | −1.86184 | − | 0.135944i | ||||
\(886\) | − | 102.258i | − | 3.43543i | ||||||
\(887\) | −6.98839 | + | 6.98839i | −0.234647 | + | 0.234647i | −0.814629 | − | 0.579982i | \(-0.803060\pi\) |
0.579982 | + | 0.814629i | \(0.303060\pi\) | |||||||
\(888\) | −28.0009 | − | 28.0009i | −0.939650 | − | 0.939650i | ||||
\(889\) | 0.372794i | 0.0125031i | ||||||||
\(890\) | 21.8101 | + | 1.59249i | 0.731078 | + | 0.0533805i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 23.8243 | + | 23.8243i | 0.797695 | + | 0.797695i | ||||
\(893\) | 7.13190 | + | 7.13190i | 0.238660 | + | 0.238660i | ||||
\(894\) | − | 121.001i | − | 4.04688i | ||||||
\(895\) | 23.9485 | + | 27.7212i | 0.800508 | + | 0.926616i | ||||
\(896\) | −23.4363 | −0.782952 | ||||||||
\(897\) | −14.3135 | + | 14.3135i | −0.477915 | + | 0.477915i | ||||
\(898\) | 6.52842 | + | 6.52842i | 0.217856 | + | 0.217856i | ||||
\(899\) | −11.7763 | −0.392760 | ||||||||
\(900\) | −3.27880 | + | 22.3329i | −0.109293 | + | 0.744429i | ||||
\(901\) | − | 21.4256i | − | 0.713789i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −16.5088 | + | 16.5088i | −0.549380 | + | 0.549380i | ||||
\(904\) | 45.9760 | 1.52914 | ||||||||
\(905\) | 25.1502 | − | 21.7274i | 0.836021 | − | 0.722243i | ||||
\(906\) | −73.1245 | −2.42940 | ||||||||
\(907\) | −8.18203 | − | 8.18203i | −0.271680 | − | 0.271680i | 0.558096 | − | 0.829776i | \(-0.311532\pi\) |
−0.829776 | + | 0.558096i | \(0.811532\pi\) | |||||||
\(908\) | −25.6817 | − | 25.6817i | −0.852278 | − | 0.852278i | ||||
\(909\) | 9.95890 | 0.330316 | ||||||||
\(910\) | −1.68377 | + | 23.0603i | −0.0558165 | + | 0.764440i | ||||
\(911\) | −8.72151 | −0.288957 | −0.144478 | − | 0.989508i | \(-0.546150\pi\) | ||||
−0.144478 | + | 0.989508i | \(0.546150\pi\) | |||||||
\(912\) | 12.4954 | − | 12.4954i | 0.413765 | − | 0.413765i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 45.8704i | 1.51726i | ||||||||
\(915\) | −41.6266 | − | 3.03942i | −1.37613 | − | 0.100480i | ||||
\(916\) | 33.6030 | 1.11027 | ||||||||
\(917\) | 0.705339 | + | 0.705339i | 0.0232923 | + | 0.0232923i | ||||
\(918\) | −23.9455 | + | 23.9455i | −0.790319 | + | 0.790319i | ||||
\(919\) | 5.77661 | 0.190553 | 0.0952764 | − | 0.995451i | \(-0.469627\pi\) | ||||
0.0952764 | + | 0.995451i | \(0.469627\pi\) | |||||||
\(920\) | 46.6155 | − | 40.2713i | 1.53687 | − | 1.32771i | ||||
\(921\) | − | 65.1909i | − | 2.14811i | ||||||
\(922\) | −63.8003 | − | 63.8003i | −2.10115 | − | 2.10115i | ||||
\(923\) | 10.8007 | + | 10.8007i | 0.355511 | + | 0.355511i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.8729 | + | 9.57696i | −0.423260 | + | 0.314889i | ||||
\(926\) | 16.0199i | 0.526448i | ||||||||
\(927\) | 3.36819 | + | 3.36819i | 0.110626 | + | 0.110626i | ||||
\(928\) | −9.97098 | + | 9.97098i | −0.327314 | + | 0.327314i | ||||
\(929\) | 18.1392i | 0.595128i | 0.954702 | + | 0.297564i | \(0.0961741\pi\) | ||||
−0.954702 | + | 0.297564i | \(0.903826\pi\) | |||||||
\(930\) | −29.7977 | − | 34.4919i | −0.977106 | − | 1.13103i | ||||
\(931\) | 4.87226i | 0.159682i | ||||||||
\(932\) | −82.0834 | + | 82.0834i | −2.68873 | + | 2.68873i | ||||
\(933\) | −19.6895 | + | 19.6895i | −0.644606 | + | 0.644606i | ||||
\(934\) | −21.9374 | −0.717813 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 14.1566 | 0.462722 | ||||||||
\(937\) | 22.7256 | − | 22.7256i | 0.742414 | − | 0.742414i | −0.230628 | − | 0.973042i | \(-0.574078\pi\) |
0.973042 | + | 0.230628i | \(0.0740782\pi\) | |||||||
\(938\) | −11.2872 | + | 11.2872i | −0.368539 | + | 0.368539i | ||||
\(939\) | − | 34.8610i | − | 1.13765i | ||||||
\(940\) | 5.56872 | − | 76.2670i | 0.181632 | − | 2.48755i | ||||
\(941\) | 5.21117i | 0.169879i | 0.996386 | + | 0.0849397i | \(0.0270698\pi\) | ||||
−0.996386 | + | 0.0849397i | \(0.972930\pi\) | |||||||
\(942\) | 48.5000 | − | 48.5000i | 1.58022 | − | 1.58022i | ||||
\(943\) | 4.12600 | + | 4.12600i | 0.134361 | + | 0.134361i | ||||
\(944\) | − | 83.6123i | − | 2.72135i | ||||||
\(945\) | −12.1471 | + | 10.4940i | −0.395146 | + | 0.341368i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −0.545091 | − | 0.545091i | −0.0177131 | − | 0.0177131i | 0.698195 | − | 0.715908i | \(-0.253987\pi\) |
−0.715908 | + | 0.698195i | \(0.753987\pi\) | |||||||
\(948\) | 7.18801 | + | 7.18801i | 0.233456 | + | 0.233456i | ||||
\(949\) | − | 21.3035i | − | 0.691542i | ||||||
\(950\) | −9.88089 | − | 13.2815i | −0.320578 | − | 0.430908i | ||||
\(951\) | −32.3930 | −1.05042 | ||||||||
\(952\) | −26.4720 | + | 26.4720i | −0.857962 | + | 0.857962i | ||||
\(953\) | −9.60331 | − | 9.60331i | −0.311082 | − | 0.311082i | 0.534247 | − | 0.845328i | \(-0.320595\pi\) |
−0.845328 | + | 0.534247i | \(0.820595\pi\) | |||||||
\(954\) | −16.4635 | −0.533025 | ||||||||
\(955\) | −3.23117 | + | 2.79142i | −0.104558 | + | 0.0903282i | ||||
\(956\) | − | 10.0777i | − | 0.325935i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 27.5786 | − | 27.5786i | 0.891023 | − | 0.891023i | ||||
\(959\) | −27.9817 | −0.903577 | ||||||||
\(960\) | 5.92279 | + | 0.432459i | 0.191157 | + | 0.0139576i | ||||
\(961\) | −14.9176 | −0.481213 | ||||||||
\(962\) | 12.9770 | + | 12.9770i | 0.418396 | + | 0.418396i | ||||
\(963\) | −11.0318 | − | 11.0318i | −0.355495 | − | 0.355495i | ||||
\(964\) | −27.8742 | −0.897767 | ||||||||
\(965\) | −25.3854 | − | 1.85355i | −0.817186 | − | 0.0596677i | ||||
\(966\) | −41.1335 | −1.32345 | ||||||||
\(967\) | 28.7882 | − | 28.7882i | 0.925767 | − | 0.925767i | −0.0716619 | − | 0.997429i | \(-0.522830\pi\) |
0.997429 | + | 0.0716619i | \(0.0228303\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 8.80745i | 0.282936i | ||||||||
\(970\) | −3.33780 | + | 2.88354i | −0.107170 | + | 0.0925849i | ||||
\(971\) | −29.3752 | −0.942696 | −0.471348 | − | 0.881947i | \(-0.656232\pi\) | ||||
−0.471348 | + | 0.881947i | \(0.656232\pi\) | |||||||
\(972\) | 31.8747 | + | 31.8747i | 1.02238 | + | 1.02238i | ||||
\(973\) | −1.81890 | + | 1.81890i | −0.0583113 | + | 0.0583113i | ||||
\(974\) | 15.0759 | 0.483062 | ||||||||
\(975\) | 3.28473 | − | 22.3733i | 0.105196 | − | 0.716518i | ||||
\(976\) | − | 62.8387i | − | 2.01142i | ||||||
\(977\) | −16.5429 | − | 16.5429i | −0.529255 | − | 0.529255i | 0.391095 | − | 0.920350i | \(-0.372096\pi\) |
−0.920350 | + | 0.391095i | \(0.872096\pi\) | |||||||
\(978\) | 3.85737 | + | 3.85737i | 0.123345 | + | 0.123345i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 27.9536 | − | 24.1493i | 0.892946 | − | 0.771420i | ||||
\(981\) | − | 18.2339i | − | 0.582163i | ||||||
\(982\) | 73.4135 | + | 73.4135i | 2.34272 | + | 2.34272i | ||||
\(983\) | 14.7486 | − | 14.7486i | 0.470406 | − | 0.470406i | −0.431640 | − | 0.902046i | \(-0.642065\pi\) |
0.902046 | + | 0.431640i | \(0.142065\pi\) | |||||||
\(984\) | − | 16.0879i | − | 0.512864i | ||||||
\(985\) | 3.18004 | − | 43.5525i | 0.101324 | − | 1.38770i | ||||
\(986\) | − | 25.0451i | − | 0.797599i | ||||||
\(987\) | −19.7970 | + | 19.7970i | −0.630147 | + | 0.630147i | ||||
\(988\) | −9.22292 | + | 9.22292i | −0.293420 | + | 0.293420i | ||||
\(989\) | −28.8277 | −0.916666 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.50787 | −0.206729 | −0.103365 | − | 0.994644i | \(-0.532961\pi\) | ||||
−0.103365 | + | 0.994644i | \(0.532961\pi\) | |||||||
\(992\) | 13.6170 | − | 13.6170i | 0.432340 | − | 0.432340i | ||||
\(993\) | −20.8167 | + | 20.8167i | −0.660597 | + | 0.660597i | ||||
\(994\) | 31.0386i | 0.984485i | ||||||||
\(995\) | 32.6724 | + | 37.8194i | 1.03578 | + | 1.19896i | ||||
\(996\) | 92.8980i | 2.94359i | ||||||||
\(997\) | −18.6716 | + | 18.6716i | −0.591335 | + | 0.591335i | −0.937992 | − | 0.346657i | \(-0.887317\pi\) |
0.346657 | + | 0.937992i | \(0.387317\pi\) | |||||||
\(998\) | 41.5677 | + | 41.5677i | 1.31580 | + | 1.31580i | ||||
\(999\) | 12.7411i | 0.403112i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))