Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(3,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 15, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 400 = 2^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 400.bd (of order \(20\), degree \(8\), 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: | \(3.19401608085\) |
Analytic rank: | \(0\) |
Dimension: | \(464\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 163.36 | ||
Character | \(\chi\) | \(=\) | 400.163 |
Dual form | 400.2.bd.a.27.36 |
$q$-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 \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) | \(351\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{19}{20}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.498352 | + | 1.32350i | 0.352388 | + | 0.935854i | ||||
\(3\) | −0.138855 | − | 0.427353i | −0.0801682 | − | 0.246732i | 0.902937 | − | 0.429772i | \(-0.141406\pi\) |
−0.983105 | + | 0.183040i | \(0.941406\pi\) | |||||||
\(4\) | −1.50329 | + | 1.31914i | −0.751645 | + | 0.659568i | ||||
\(5\) | −2.04290 | − | 0.909148i | −0.913614 | − | 0.406584i | ||||
\(6\) | 0.496401 | − | 0.396747i | 0.202655 | − | 0.161971i | ||||
\(7\) | 3.16111 | − | 3.16111i | 1.19479 | − | 1.19479i | 0.219082 | − | 0.975706i | \(-0.429694\pi\) |
0.975706 | − | 0.219082i | \(-0.0703062\pi\) | |||||||
\(8\) | −2.49504 | − | 1.33221i | −0.882130 | − | 0.471006i | ||||
\(9\) | 2.26370 | − | 1.64468i | 0.754567 | − | 0.548225i | ||||
\(10\) | 0.185171 | − | 3.15685i | 0.0585562 | − | 0.998284i | ||||
\(11\) | −0.302604 | − | 1.91056i | −0.0912384 | − | 0.576057i | −0.990377 | − | 0.138393i | \(-0.955806\pi\) |
0.899139 | − | 0.437663i | \(-0.144194\pi\) | |||||||
\(12\) | 0.772476 | + | 0.459266i | 0.222995 | + | 0.132579i | ||||
\(13\) | 1.90637 | + | 2.62389i | 0.528732 | + | 0.727737i | 0.986937 | − | 0.161109i | \(-0.0515072\pi\) |
−0.458204 | + | 0.888847i | \(0.651507\pi\) | |||||||
\(14\) | 5.75907 | + | 2.60838i | 1.53918 | + | 0.697118i | ||||
\(15\) | −0.104859 | + | 0.999280i | −0.0270745 | + | 0.258013i | ||||
\(16\) | 0.519765 | − | 3.96609i | 0.129941 | − | 0.991522i | ||||
\(17\) | −1.32954 | − | 2.60937i | −0.322461 | − | 0.632864i | 0.671694 | − | 0.740828i | \(-0.265567\pi\) |
−0.994155 | + | 0.107964i | \(0.965567\pi\) | |||||||
\(18\) | 3.30484 | + | 2.17638i | 0.778959 | + | 0.512977i | ||||
\(19\) | 0.699823 | − | 0.356578i | 0.160550 | − | 0.0818045i | −0.371869 | − | 0.928285i | \(-0.621283\pi\) |
0.532419 | + | 0.846481i | \(0.321283\pi\) | |||||||
\(20\) | 4.27037 | − | 1.32815i | 0.954883 | − | 0.296983i | ||||
\(21\) | −1.78985 | − | 0.911973i | −0.390577 | − | 0.199009i | ||||
\(22\) | 2.37782 | − | 1.35263i | 0.506954 | − | 0.288381i | ||||
\(23\) | 0.505889 | + | 3.19406i | 0.105485 | + | 0.666008i | 0.982601 | + | 0.185729i | \(0.0594646\pi\) |
−0.877116 | + | 0.480279i | \(0.840535\pi\) | |||||||
\(24\) | −0.222873 | + | 1.25125i | −0.0454937 | + | 0.255410i | ||||
\(25\) | 3.34690 | + | 3.71460i | 0.669380 | + | 0.742921i | ||||
\(26\) | −2.52267 | + | 3.83070i | −0.494737 | + | 0.751262i | ||||
\(27\) | −2.10777 | − | 1.53138i | −0.405640 | − | 0.294715i | ||||
\(28\) | −0.582136 | + | 8.92201i | −0.110013 | + | 1.68610i | ||||
\(29\) | −0.0954011 | − | 0.0486093i | −0.0177155 | − | 0.00902652i | 0.445110 | − | 0.895476i | \(-0.353164\pi\) |
−0.462826 | + | 0.886449i | \(0.653164\pi\) | |||||||
\(30\) | −1.37480 | + | 0.359212i | −0.251003 | + | 0.0655829i | ||||
\(31\) | 7.25835 | + | 2.35838i | 1.30364 | + | 0.423578i | 0.876846 | − | 0.480771i | \(-0.159643\pi\) |
0.426793 | + | 0.904349i | \(0.359643\pi\) | |||||||
\(32\) | 5.50813 | − | 1.28860i | 0.973709 | − | 0.227795i | ||||
\(33\) | −0.774467 | + | 0.394611i | −0.134817 | + | 0.0686929i | ||||
\(34\) | 2.79091 | − | 3.06002i | 0.478637 | − | 0.524790i | ||||
\(35\) | −9.33177 | + | 3.58392i | −1.57736 | + | 0.605794i | ||||
\(36\) | −1.23345 | + | 5.45855i | −0.205575 | + | 0.909759i | ||||
\(37\) | −4.32040 | − | 5.94652i | −0.710269 | − | 0.977602i | −0.999791 | − | 0.0204306i | \(-0.993496\pi\) |
0.289522 | − | 0.957171i | \(-0.406504\pi\) | |||||||
\(38\) | 0.820688 | + | 0.748512i | 0.133133 | + | 0.121425i | ||||
\(39\) | 0.856619 | − | 1.17903i | 0.137169 | − | 0.188797i | ||||
\(40\) | 3.88595 | + | 4.98993i | 0.614422 | + | 0.788977i | ||||
\(41\) | −5.87772 | − | 8.08998i | −0.917945 | − | 1.26344i | −0.964380 | − | 0.264522i | \(-0.914786\pi\) |
0.0464346 | − | 0.998921i | \(-0.485214\pi\) | |||||||
\(42\) | 0.315020 | − | 2.82334i | 0.0486086 | − | 0.435651i | ||||
\(43\) | − | 3.10805i | − | 0.473973i | −0.971513 | − | 0.236987i | \(-0.923840\pi\) | ||
0.971513 | − | 0.236987i | \(-0.0761597\pi\) | |||||||
\(44\) | 2.97519 | + | 2.47296i | 0.448527 | + | 0.372812i | ||||
\(45\) | −6.11977 | + | 1.30187i | −0.912282 | + | 0.194071i | ||||
\(46\) | −3.97522 | + | 2.26131i | −0.586114 | + | 0.333412i | ||||
\(47\) | 2.89101 | − | 5.67393i | 0.421697 | − | 0.827628i | −0.578234 | − | 0.815871i | \(-0.696258\pi\) |
0.999931 | − | 0.0117564i | \(-0.00374226\pi\) | |||||||
\(48\) | −1.76709 | + | 0.328589i | −0.255058 | + | 0.0474278i | ||||
\(49\) | − | 12.9853i | − | 1.85504i | ||||||
\(50\) | −3.24833 | + | 6.28079i | −0.459384 | + | 0.888238i | ||||
\(51\) | −0.930507 | + | 0.930507i | −0.130297 | + | 0.130297i | ||||
\(52\) | −6.32710 | − | 1.42971i | −0.877411 | − | 0.198266i | ||||
\(53\) | −0.573716 | − | 1.76571i | −0.0788059 | − | 0.242540i | 0.903890 | − | 0.427764i | \(-0.140699\pi\) |
−0.982696 | + | 0.185225i | \(0.940699\pi\) | |||||||
\(54\) | 0.976371 | − | 3.55279i | 0.132867 | − | 0.483474i | ||||
\(55\) | −1.11880 | + | 4.17821i | −0.150859 | + | 0.563389i | ||||
\(56\) | −12.0984 | + | 3.67585i | −1.61671 | + | 0.491205i | ||||
\(57\) | −0.249559 | − | 0.249559i | −0.0330548 | − | 0.0330548i | ||||
\(58\) | 0.0167909 | − | 0.150488i | 0.00220476 | − | 0.0197600i | ||||
\(59\) | −2.12483 | + | 13.4157i | −0.276630 | + | 1.74657i | 0.323097 | + | 0.946366i | \(0.395276\pi\) |
−0.599727 | + | 0.800205i | \(0.704724\pi\) | |||||||
\(60\) | −1.16055 | − | 1.64053i | −0.149827 | − | 0.211792i | ||||
\(61\) | 1.35699 | + | 8.56769i | 0.173745 | + | 1.09698i | 0.908265 | + | 0.418394i | \(0.137407\pi\) |
−0.734521 | + | 0.678586i | \(0.762593\pi\) | |||||||
\(62\) | 0.495903 | + | 10.7817i | 0.0629797 | + | 1.36928i | ||||
\(63\) | 1.95681 | − | 12.3548i | 0.246535 | − | 1.55656i | ||||
\(64\) | 4.45045 | + | 6.64782i | 0.556306 | + | 0.830978i | ||||
\(65\) | −1.50902 | − | 7.09353i | −0.187171 | − | 0.879845i | ||||
\(66\) | −0.908223 | − | 0.828350i | −0.111795 | − | 0.101963i | ||||
\(67\) | 5.57114 | + | 1.81017i | 0.680623 | + | 0.221148i | 0.628868 | − | 0.777512i | \(-0.283518\pi\) |
0.0517551 | + | 0.998660i | \(0.483518\pi\) | |||||||
\(68\) | 5.44079 | + | 2.16879i | 0.659793 | + | 0.263005i | ||||
\(69\) | 1.29475 | − | 0.659706i | 0.155869 | − | 0.0794192i | ||||
\(70\) | −9.39382 | − | 10.5645i | −1.12278 | − | 1.26270i | ||||
\(71\) | 3.86036 | + | 11.8810i | 0.458141 | + | 1.41001i | 0.867408 | + | 0.497597i | \(0.165784\pi\) |
−0.409268 | + | 0.912414i | \(0.634216\pi\) | |||||||
\(72\) | −7.83907 | + | 1.08781i | −0.923844 | + | 0.128200i | ||||
\(73\) | −16.4535 | + | 2.60598i | −1.92574 | + | 0.305007i | −0.997718 | − | 0.0675177i | \(-0.978492\pi\) |
−0.928022 | + | 0.372525i | \(0.878492\pi\) | |||||||
\(74\) | 5.71712 | − | 8.68150i | 0.664602 | − | 1.00920i | ||||
\(75\) | 1.12271 | − | 1.94610i | 0.129640 | − | 0.224716i | ||||
\(76\) | −0.581663 | + | 1.45920i | −0.0667213 | + | 0.167382i | ||||
\(77\) | −6.99607 | − | 5.08295i | −0.797277 | − | 0.579255i | ||||
\(78\) | 1.98735 | + | 0.546158i | 0.225023 | + | 0.0618403i | ||||
\(79\) | 3.79496 | + | 11.6797i | 0.426967 | + | 1.31407i | 0.901099 | + | 0.433614i | \(0.142762\pi\) |
−0.474132 | + | 0.880454i | \(0.657238\pi\) | |||||||
\(80\) | −4.66759 | + | 7.62978i | −0.521852 | + | 0.853036i | ||||
\(81\) | 2.23221 | − | 6.87002i | 0.248023 | − | 0.763336i | ||||
\(82\) | 7.77790 | − | 11.8108i | 0.858925 | − | 1.30428i | ||||
\(83\) | 3.03136 | − | 9.32956i | 0.332735 | − | 1.02405i | −0.635092 | − | 0.772436i | \(-0.719038\pi\) |
0.967827 | − | 0.251616i | \(-0.0809620\pi\) | |||||||
\(84\) | 3.89368 | − | 0.990091i | 0.424835 | − | 0.108028i | ||||
\(85\) | 0.343816 | + | 6.53943i | 0.0372921 | + | 0.709301i | ||||
\(86\) | 4.11350 | − | 1.54890i | 0.443570 | − | 0.167023i | ||||
\(87\) | −0.00752637 | + | 0.0475196i | −0.000806911 | + | 0.00509464i | ||||
\(88\) | −1.79026 | + | 5.17006i | −0.190842 | + | 0.551131i | ||||
\(89\) | 1.78872 | + | 1.29958i | 0.189604 | + | 0.137755i | 0.678538 | − | 0.734566i | \(-0.262614\pi\) |
−0.488934 | + | 0.872321i | \(0.662614\pi\) | |||||||
\(90\) | −4.77282 | − | 7.45072i | −0.503100 | − | 0.785374i | ||||
\(91\) | 14.3207 | + | 2.26817i | 1.50122 | + | 0.237769i | ||||
\(92\) | −4.97390 | − | 4.13426i | −0.518565 | − | 0.431027i | ||||
\(93\) | − | 3.42935i | − | 0.355607i | ||||||
\(94\) | 8.95017 | + | 0.998632i | 0.923140 | + | 0.103001i | ||||
\(95\) | −1.75385 | + | 0.0922102i | −0.179941 | + | 0.00946057i | ||||
\(96\) | −1.31552 | − | 2.17499i | −0.134265 | − | 0.221984i | ||||
\(97\) | −1.86582 | − | 0.950684i | −0.189446 | − | 0.0965273i | 0.356695 | − | 0.934221i | \(-0.383904\pi\) |
−0.546141 | + | 0.837694i | \(0.683904\pi\) | |||||||
\(98\) | 17.1860 | − | 6.47124i | 1.73605 | − | 0.653694i | ||||
\(99\) | −3.82726 | − | 3.82726i | −0.384654 | − | 0.384654i | ||||
\(100\) | −9.93142 | − | 1.16912i | −0.993142 | − | 0.116912i | ||||
\(101\) | −3.27368 | + | 3.27368i | −0.325743 | + | 0.325743i | −0.850965 | − | 0.525222i | \(-0.823982\pi\) |
0.525222 | + | 0.850965i | \(0.323982\pi\) | |||||||
\(102\) | −1.69524 | − | 0.767803i | −0.167854 | − | 0.0760238i | ||||
\(103\) | −6.75368 | + | 13.2548i | −0.665460 | + | 1.30604i | 0.273454 | + | 0.961885i | \(0.411834\pi\) |
−0.938914 | + | 0.344153i | \(0.888166\pi\) | |||||||
\(104\) | −1.26090 | − | 9.08640i | −0.123641 | − | 0.890995i | ||||
\(105\) | 2.82737 | + | 3.49031i | 0.275923 | + | 0.340619i | ||||
\(106\) | 2.05101 | − | 1.63926i | 0.199211 | − | 0.159219i | ||||
\(107\) | −1.46915 | −0.142029 | −0.0710143 | − | 0.997475i | \(-0.522624\pi\) | ||||
−0.0710143 | + | 0.997475i | \(0.522624\pi\) | |||||||
\(108\) | 5.18869 | − | 0.478317i | 0.499282 | − | 0.0460261i | ||||
\(109\) | −2.62833 | + | 16.5946i | −0.251748 | + | 1.58948i | 0.460573 | + | 0.887622i | \(0.347644\pi\) |
−0.712321 | + | 0.701854i | \(0.752356\pi\) | |||||||
\(110\) | −6.08740 | + | 0.601494i | −0.580411 | + | 0.0573502i | ||||
\(111\) | −1.94135 | + | 2.67204i | −0.184265 | + | 0.253619i | ||||
\(112\) | −10.8942 | − | 14.1803i | −1.02941 | − | 1.33991i | ||||
\(113\) | −0.903588 | − | 0.143114i | −0.0850024 | − | 0.0134631i | 0.113788 | − | 0.993505i | \(-0.463701\pi\) |
−0.198791 | + | 0.980042i | \(0.563701\pi\) | |||||||
\(114\) | 0.205922 | − | 0.454658i | 0.0192864 | − | 0.0425826i | ||||
\(115\) | 1.87039 | − | 6.98508i | 0.174415 | − | 0.651362i | ||||
\(116\) | 0.207538 | − | 0.0527731i | 0.0192694 | − | 0.00489986i | ||||
\(117\) | 8.63091 | + | 2.80435i | 0.797928 | + | 0.259262i | ||||
\(118\) | −18.8145 | + | 3.87351i | −1.73202 | + | 0.356586i | ||||
\(119\) | −12.4513 | − | 4.04568i | −1.14141 | − | 0.370867i | ||||
\(120\) | 1.59288 | − | 2.35355i | 0.145409 | − | 0.214849i | ||||
\(121\) | 6.90293 | − | 2.24290i | 0.627540 | − | 0.203900i | ||||
\(122\) | −10.6631 | + | 6.06570i | −0.965388 | + | 0.549162i | ||||
\(123\) | −2.64112 | + | 3.63520i | −0.238142 | + | 0.327775i | ||||
\(124\) | −14.0224 | + | 6.02942i | −1.25925 | + | 0.541458i | ||||
\(125\) | −3.46026 | − | 10.6314i | −0.309495 | − | 0.950901i | ||||
\(126\) | 17.3268 | − | 3.56722i | 1.54359 | − | 0.317793i | ||||
\(127\) | −1.51205 | − | 9.54671i | −0.134173 | − | 0.847134i | −0.959342 | − | 0.282247i | \(-0.908920\pi\) |
0.825169 | − | 0.564886i | \(-0.191080\pi\) | |||||||
\(128\) | −6.58048 | + | 9.20311i | −0.581638 | + | 0.813448i | ||||
\(129\) | −1.32823 | + | 0.431569i | −0.116944 | + | 0.0379976i | ||||
\(130\) | 8.63625 | − | 5.53226i | 0.757449 | − | 0.485211i | ||||
\(131\) | 1.76360 | + | 3.46126i | 0.154087 | + | 0.302412i | 0.955126 | − | 0.296199i | \(-0.0957193\pi\) |
−0.801039 | + | 0.598612i | \(0.795719\pi\) | |||||||
\(132\) | 0.643704 | − | 1.61484i | 0.0560272 | − | 0.140554i | ||||
\(133\) | 1.08504 | − | 3.33940i | 0.0940847 | − | 0.289563i | ||||
\(134\) | 0.380630 | + | 8.27550i | 0.0328814 | + | 0.714894i | ||||
\(135\) | 2.91371 | + | 5.04474i | 0.250772 | + | 0.434182i | ||||
\(136\) | −0.158965 | + | 8.28170i | −0.0136312 | + | 0.710149i | ||||
\(137\) | 16.5237 | + | 2.61710i | 1.41172 | + | 0.223594i | 0.815280 | − | 0.579067i | \(-0.196583\pi\) |
0.596436 | + | 0.802661i | \(0.296583\pi\) | |||||||
\(138\) | 1.51836 | + | 1.38483i | 0.129251 | + | 0.117884i | ||||
\(139\) | 4.09408 | − | 0.648438i | 0.347255 | − | 0.0549998i | 0.0196292 | − | 0.999807i | \(-0.493751\pi\) |
0.327626 | + | 0.944808i | \(0.393751\pi\) | |||||||
\(140\) | 9.30068 | − | 17.6975i | 0.786051 | − | 1.49572i | ||||
\(141\) | −2.82620 | − | 0.447626i | −0.238009 | − | 0.0376969i | ||||
\(142\) | −13.8006 | + | 11.0301i | −1.15812 | + | 0.925624i | ||||
\(143\) | 4.43624 | − | 4.43624i | 0.370977 | − | 0.370977i | ||||
\(144\) | −5.34633 | − | 9.83288i | −0.445528 | − | 0.819407i | ||||
\(145\) | 0.150702 | + | 0.186038i | 0.0125151 | + | 0.0154496i | ||||
\(146\) | −11.6487 | − | 20.4775i | −0.964050 | − | 1.69473i | ||||
\(147\) | −5.54929 | + | 1.80307i | −0.457698 | + | 0.148715i | ||||
\(148\) | 14.3391 | + | 3.24016i | 1.17867 | + | 0.266339i | ||||
\(149\) | −3.07033 | − | 3.07033i | −0.251532 | − | 0.251532i | 0.570067 | − | 0.821598i | \(-0.306917\pi\) |
−0.821598 | + | 0.570067i | \(0.806917\pi\) | |||||||
\(150\) | 3.13516 | + | 0.516063i | 0.255985 | + | 0.0421364i | ||||
\(151\) | −1.80501 | −0.146889 | −0.0734447 | − | 0.997299i | \(-0.523399\pi\) | ||||
−0.0734447 | + | 0.997299i | \(0.523399\pi\) | |||||||
\(152\) | −2.22112 | − | 0.0426339i | −0.180157 | − | 0.00345807i | ||||
\(153\) | −7.30124 | − | 3.72017i | −0.590270 | − | 0.300758i | ||||
\(154\) | 3.24076 | − | 11.7924i | 0.261148 | − | 0.950257i | ||||
\(155\) | −12.6840 | − | 11.4169i | −1.01880 | − | 0.917025i | ||||
\(156\) | 0.267559 | + | 2.90243i | 0.0214219 | + | 0.232380i | ||||
\(157\) | 12.3813 | 0.988134 | 0.494067 | − | 0.869424i | \(-0.335510\pi\) | ||||
0.494067 | + | 0.869424i | \(0.335510\pi\) | |||||||
\(158\) | −13.5668 | + | 10.8432i | −1.07932 | + | 0.862640i | ||||
\(159\) | −0.674920 | + | 0.490358i | −0.0535246 | + | 0.0388879i | ||||
\(160\) | −12.4241 | − | 2.37522i | −0.982211 | − | 0.187778i | ||||
\(161\) | 11.6960 | + | 8.49761i | 0.921771 | + | 0.669706i | ||||
\(162\) | 10.2049 | − | 0.469371i | 0.801771 | − | 0.0368773i | ||||
\(163\) | −3.03532 | + | 2.20529i | −0.237744 | + | 0.172731i | −0.700278 | − | 0.713870i | \(-0.746941\pi\) |
0.462533 | + | 0.886602i | \(0.346941\pi\) | |||||||
\(164\) | 19.5077 | + | 4.40809i | 1.52330 | + | 0.344214i | ||||
\(165\) | 1.94092 | − | 0.102045i | 0.151100 | − | 0.00794423i | ||||
\(166\) | 13.8583 | − | 0.637411i | 1.07562 | − | 0.0494727i | ||||
\(167\) | −0.414391 | − | 0.813288i | −0.0320666 | − | 0.0629341i | 0.874417 | − | 0.485174i | \(-0.161244\pi\) |
−0.906484 | + | 0.422240i | \(0.861244\pi\) | |||||||
\(168\) | 3.25080 | + | 4.65986i | 0.250805 | + | 0.359516i | ||||
\(169\) | 0.766649 | − | 2.35950i | 0.0589730 | − | 0.181500i | ||||
\(170\) | −8.48358 | + | 3.71398i | −0.650661 | + | 0.284849i | ||||
\(171\) | 0.997736 | − | 1.95817i | 0.0762987 | − | 0.149745i | ||||
\(172\) | 4.09994 | + | 4.67230i | 0.312617 | + | 0.356260i | ||||
\(173\) | −12.1574 | + | 16.7332i | −0.924306 | + | 1.27220i | 0.0377330 | + | 0.999288i | \(0.487986\pi\) |
−0.962039 | + | 0.272911i | \(0.912014\pi\) | |||||||
\(174\) | −0.0666428 | + | 0.0137204i | −0.00505218 | + | 0.00104014i | ||||
\(175\) | 22.3222 | + | 1.16235i | 1.68740 | + | 0.0878658i | ||||
\(176\) | −7.73475 | + | 0.207109i | −0.583028 | + | 0.0156114i | ||||
\(177\) | 6.02827 | − | 0.954783i | 0.453112 | − | 0.0717659i | ||||
\(178\) | −0.828579 | + | 3.01501i | −0.0621046 | + | 0.225985i | ||||
\(179\) | −1.46033 | + | 2.86607i | −0.109151 | + | 0.214220i | −0.939120 | − | 0.343588i | \(-0.888358\pi\) |
0.829970 | + | 0.557808i | \(0.188358\pi\) | |||||||
\(180\) | 7.48246 | − | 10.0299i | 0.557709 | − | 0.747585i | ||||
\(181\) | 4.97561 | + | 9.76519i | 0.369834 | + | 0.725841i | 0.998662 | − | 0.0517036i | \(-0.0164651\pi\) |
−0.628828 | + | 0.777544i | \(0.716465\pi\) | |||||||
\(182\) | 4.13482 | + | 20.0837i | 0.306493 | + | 1.48871i | ||||
\(183\) | 3.47300 | − | 1.76958i | 0.256732 | − | 0.130811i | ||||
\(184\) | 2.99294 | − | 8.64326i | 0.220642 | − | 0.637189i | ||||
\(185\) | 3.41989 | + | 16.0760i | 0.251435 | + | 1.18193i | ||||
\(186\) | 4.53874 | − | 1.70902i | 0.332796 | − | 0.125312i | ||||
\(187\) | −4.58304 | + | 3.32977i | −0.335145 | + | 0.243497i | ||||
\(188\) | 3.13865 | + | 12.3432i | 0.228910 | + | 0.900220i | ||||
\(189\) | −11.5038 | + | 1.82202i | −0.836776 | + | 0.132532i | ||||
\(190\) | −0.996075 | − | 2.27526i | −0.0722629 | − | 0.165065i | ||||
\(191\) | 11.1521 | + | 15.3496i | 0.806939 | + | 1.11066i | 0.991788 | + | 0.127890i | \(0.0408204\pi\) |
−0.184849 | + | 0.982767i | \(0.559180\pi\) | |||||||
\(192\) | 2.22300 | − | 2.82500i | 0.160431 | − | 0.203877i | ||||
\(193\) | −11.7961 | − | 11.7961i | −0.849105 | − | 0.849105i | 0.140917 | − | 0.990021i | \(-0.454995\pi\) |
−0.990021 | + | 0.140917i | \(0.954995\pi\) | |||||||
\(194\) | 0.328391 | − | 2.94319i | 0.0235771 | − | 0.211308i | ||||
\(195\) | −2.82191 | + | 1.62986i | −0.202081 | + | 0.116717i | ||||
\(196\) | 17.1293 | + | 19.5206i | 1.22352 | + | 1.39433i | ||||
\(197\) | 2.64012 | − | 0.857826i | 0.188101 | − | 0.0611176i | −0.213452 | − | 0.976954i | \(-0.568471\pi\) |
0.401553 | + | 0.915836i | \(0.368471\pi\) | |||||||
\(198\) | 3.15805 | − | 6.97270i | 0.224433 | − | 0.495528i | ||||
\(199\) | 0.875199i | 0.0620412i | 0.999519 | + | 0.0310206i | \(0.00987575\pi\) | ||||
−0.999519 | + | 0.0310206i | \(0.990124\pi\) | |||||||
\(200\) | −3.40202 | − | 13.7268i | −0.240559 | − | 0.970634i | ||||
\(201\) | − | 2.63220i | − | 0.185661i | ||||||
\(202\) | −5.96415 | − | 2.70126i | −0.419636 | − | 0.190060i | ||||
\(203\) | −0.455233 | + | 0.147914i | −0.0319511 | + | 0.0103815i | ||||
\(204\) | 0.171358 | − | 2.62629i | 0.0119974 | − | 0.183877i | ||||
\(205\) | 4.65260 | + | 21.8708i | 0.324952 | + | 1.52752i | ||||
\(206\) | −20.9085 | − | 2.33290i | −1.45676 | − | 0.162541i | ||||
\(207\) | 6.39837 | + | 6.39837i | 0.444718 | + | 0.444718i | ||||
\(208\) | 11.3975 | − | 6.19702i | 0.790271 | − | 0.429686i | ||||
\(209\) | −0.893033 | − | 1.22915i | −0.0617724 | − | 0.0850224i | ||||
\(210\) | −3.21039 | + | 5.48141i | −0.221538 | + | 0.378253i | ||||
\(211\) | 19.7744 | − | 3.13195i | 1.36132 | − | 0.215613i | 0.567306 | − | 0.823507i | \(-0.307986\pi\) |
0.794018 | + | 0.607894i | \(0.207986\pi\) | |||||||
\(212\) | 3.19168 | + | 1.89757i | 0.219205 | + | 0.130326i | ||||
\(213\) | 4.54133 | − | 3.29947i | 0.311167 | − | 0.226076i | ||||
\(214\) | −0.732156 | − | 1.94442i | −0.0500492 | − | 0.132918i | ||||
\(215\) | −2.82568 | + | 6.34944i | −0.192710 | + | 0.433028i | ||||
\(216\) | 3.21884 | + | 6.62884i | 0.219015 | + | 0.451036i | ||||
\(217\) | 30.3996 | − | 15.4894i | 2.06366 | − | 1.05149i | ||||
\(218\) | −23.2728 | + | 4.79137i | −1.57623 | + | 0.324513i | ||||
\(219\) | 3.39833 | + | 6.66961i | 0.229638 | + | 0.450690i | ||||
\(220\) | −3.82974 | − | 7.75690i | −0.258201 | − | 0.522970i | ||||
\(221\) | 4.31211 | − | 8.46299i | 0.290064 | − | 0.569282i | ||||
\(222\) | −4.50392 | − | 1.23776i | −0.302283 | − | 0.0830728i | ||||
\(223\) | 9.43966 | − | 1.49510i | 0.632126 | − | 0.100119i | 0.167855 | − | 0.985812i | \(-0.446316\pi\) |
0.464272 | + | 0.885693i | \(0.346316\pi\) | |||||||
\(224\) | 13.3384 | − | 21.4852i | 0.891210 | − | 1.43554i | ||||
\(225\) | 13.6857 | + | 2.90419i | 0.912380 | + | 0.193613i | ||||
\(226\) | −0.260894 | − | 1.26722i | −0.0173544 | − | 0.0842941i | ||||
\(227\) | −8.38929 | + | 11.5469i | −0.556817 | + | 0.766393i | −0.990917 | − | 0.134472i | \(-0.957066\pi\) |
0.434100 | + | 0.900864i | \(0.357066\pi\) | |||||||
\(228\) | 0.704360 | + | 0.0459575i | 0.0466474 | + | 0.00304361i | ||||
\(229\) | 9.09831 | − | 17.8564i | 0.601234 | − | 1.17999i | −0.367066 | − | 0.930195i | \(-0.619638\pi\) |
0.968299 | − | 0.249792i | \(-0.0803624\pi\) | |||||||
\(230\) | 10.1769 | − | 1.00557i | 0.671042 | − | 0.0663053i | ||||
\(231\) | −1.20077 | + | 3.69559i | −0.0790048 | + | 0.243152i | ||||
\(232\) | 0.173272 | + | 0.248376i | 0.0113759 | + | 0.0163067i | ||||
\(233\) | 2.50053 | + | 4.90756i | 0.163815 | + | 0.321505i | 0.958293 | − | 0.285788i | \(-0.0922553\pi\) |
−0.794478 | + | 0.607293i | \(0.792255\pi\) | |||||||
\(234\) | 0.589678 | + | 12.8205i | 0.0385485 | + | 0.838105i | ||||
\(235\) | −11.0645 | + | 8.96292i | −0.721768 | + | 0.584677i | ||||
\(236\) | −14.5028 | − | 22.9706i | −0.944054 | − | 1.49526i | ||||
\(237\) | 4.46440 | − | 3.24358i | 0.289994 | − | 0.210693i | ||||
\(238\) | −0.850695 | − | 18.4955i | −0.0551424 | − | 1.19888i | ||||
\(239\) | 7.35811 | + | 5.34598i | 0.475957 | + | 0.345803i | 0.799758 | − | 0.600322i | \(-0.204961\pi\) |
−0.323801 | + | 0.946125i | \(0.604961\pi\) | |||||||
\(240\) | 3.90873 | + | 0.935271i | 0.252307 | + | 0.0603715i | ||||
\(241\) | −23.1540 | + | 16.8223i | −1.49148 | + | 1.08362i | −0.517852 | + | 0.855470i | \(0.673268\pi\) |
−0.973626 | + | 0.228152i | \(0.926732\pi\) | |||||||
\(242\) | 6.40856 | + | 8.01826i | 0.411958 | + | 0.515433i | ||||
\(243\) | −11.0619 | −0.709622 | ||||||||
\(244\) | −13.3419 | − | 11.0897i | −0.854127 | − | 0.709944i | ||||
\(245\) | −11.8055 | + | 26.5276i | −0.754228 | + | 1.69479i | ||||
\(246\) | −6.12738 | − | 1.68391i | −0.390668 | − | 0.107362i | ||||
\(247\) | 2.26974 | + | 1.15649i | 0.144420 | + | 0.0735858i | ||||
\(248\) | −14.9680 | − | 15.5539i | −0.950471 | − | 0.987673i | ||||
\(249\) | −4.40793 | −0.279341 | ||||||||
\(250\) | 12.3462 | − | 9.87782i | 0.780842 | − | 0.624728i | ||||
\(251\) | −16.9046 | − | 16.9046i | −1.06701 | − | 1.06701i | −0.997587 | − | 0.0694248i | \(-0.977884\pi\) |
−0.0694248 | − | 0.997587i | \(-0.522116\pi\) | |||||||
\(252\) | 13.3560 | + | 21.1542i | 0.841350 | + | 1.33259i | ||||
\(253\) | 5.94937 | − | 1.93307i | 0.374034 | − | 0.121531i | ||||
\(254\) | 11.8815 | − | 6.75882i | 0.745512 | − | 0.424086i | ||||
\(255\) | 2.74690 | − | 1.05497i | 0.172018 | − | 0.0660645i | ||||
\(256\) | −15.4597 | − | 4.12286i | −0.966231 | − | 0.257679i | ||||
\(257\) | −16.6808 | + | 16.6808i | −1.04052 | + | 1.04052i | −0.0413768 | + | 0.999144i | \(0.513174\pi\) |
−0.999144 | + | 0.0413768i | \(0.986826\pi\) | |||||||
\(258\) | −1.23311 | − | 1.54284i | −0.0767700 | − | 0.0960531i | ||||
\(259\) | −32.4549 | − | 5.14035i | −2.01665 | − | 0.319406i | ||||
\(260\) | 11.6258 | + | 8.67304i | 0.721003 | + | 0.537879i | ||||
\(261\) | −0.295906 | + | 0.0468669i | −0.0183161 | + | 0.00290099i | ||||
\(262\) | −3.70208 | + | 4.05905i | −0.228715 | + | 0.250769i | ||||
\(263\) | 14.3566 | + | 2.27386i | 0.885263 | + | 0.140212i | 0.582478 | − | 0.812847i | \(-0.302083\pi\) |
0.302786 | + | 0.953059i | \(0.402083\pi\) | |||||||
\(264\) | 2.45803 | + | 0.0471813i | 0.151281 | + | 0.00290381i | ||||
\(265\) | −0.433252 | + | 4.12878i | −0.0266145 | + | 0.253629i | ||||
\(266\) | 4.96042 | − | 0.228153i | 0.304143 | − | 0.0139890i | ||||
\(267\) | 0.307006 | − | 0.944867i | 0.0187885 | − | 0.0578249i | ||||
\(268\) | −10.7629 | + | 4.62787i | −0.657449 | + | 0.282692i | ||||
\(269\) | −5.23994 | − | 10.2840i | −0.319485 | − | 0.627024i | 0.674286 | − | 0.738470i | \(-0.264452\pi\) |
−0.993770 | + | 0.111447i | \(0.964452\pi\) | |||||||
\(270\) | −5.22465 | + | 6.37034i | −0.317962 | + | 0.387687i | ||||
\(271\) | 2.47953 | − | 0.805647i | 0.150621 | − | 0.0489396i | −0.232736 | − | 0.972540i | \(-0.574768\pi\) |
0.383357 | + | 0.923600i | \(0.374768\pi\) | |||||||
\(272\) | −11.0400 | + | 3.91681i | −0.669400 | + | 0.237491i | ||||
\(273\) | −1.01919 | − | 6.43493i | −0.0616844 | − | 0.389460i | ||||
\(274\) | 4.77090 | + | 23.1733i | 0.288221 | + | 1.39995i | ||||
\(275\) | 6.08420 | − | 7.51852i | 0.366891 | − | 0.453384i | ||||
\(276\) | −1.07614 | + | 2.69967i | −0.0647758 | + | 0.162501i | ||||
\(277\) | 10.0293 | − | 13.8042i | 0.602604 | − | 0.829413i | −0.393340 | − | 0.919393i | \(-0.628680\pi\) |
0.995944 | + | 0.0899800i | \(0.0286803\pi\) | |||||||
\(278\) | 2.89850 | + | 5.09535i | 0.173840 | + | 0.305599i | ||||
\(279\) | 20.3095 | − | 6.59896i | 1.21590 | − | 0.395070i | ||||
\(280\) | 28.0577 | + | 3.48981i | 1.67677 | + | 0.208556i | ||||
\(281\) | 20.4197 | + | 6.63475i | 1.21814 | + | 0.395796i | 0.846403 | − | 0.532544i | \(-0.178764\pi\) |
0.371733 | + | 0.928340i | \(0.378764\pi\) | |||||||
\(282\) | −0.816011 | − | 3.96355i | −0.0485928 | − | 0.236026i | ||||
\(283\) | 20.9612 | + | 6.81070i | 1.24601 | + | 0.404854i | 0.856490 | − | 0.516163i | \(-0.172640\pi\) |
0.389522 | + | 0.921017i | \(0.372640\pi\) | |||||||
\(284\) | −21.4758 | − | 12.7682i | −1.27436 | − | 0.757654i | ||||
\(285\) | 0.282938 | + | 0.736709i | 0.0167598 | + | 0.0436389i | ||||
\(286\) | 8.08217 | + | 3.66055i | 0.477909 | + | 0.216453i | ||||
\(287\) | −44.1535 | − | 6.99322i | −2.60630 | − | 0.412797i | ||||
\(288\) | 10.3494 | − | 11.9761i | 0.609846 | − | 0.705698i | ||||
\(289\) | 4.95123 | − | 6.81478i | 0.291249 | − | 0.400869i | ||||
\(290\) | −0.171118 | + | 0.292166i | −0.0100484 | + | 0.0171566i | ||||
\(291\) | −0.147198 | + | 0.929372i | −0.00862890 | + | 0.0544807i | ||||
\(292\) | 21.2968 | − | 25.6220i | 1.24630 | − | 1.49941i | ||||
\(293\) | −1.73598 | −0.101417 | −0.0507085 | − | 0.998713i | \(-0.516148\pi\) | ||||
−0.0507085 | + | 0.998713i | \(0.516148\pi\) | |||||||
\(294\) | −5.15187 | − | 6.44591i | −0.300463 | − | 0.375933i | ||||
\(295\) | 16.5377 | − | 25.4751i | 0.962859 | − | 1.48322i | ||||
\(296\) | 2.85757 | + | 20.5925i | 0.166093 | + | 1.19691i | ||||
\(297\) | −2.28799 | + | 4.49043i | −0.132762 | + | 0.260561i | ||||
\(298\) | 2.53347 | − | 5.59369i | 0.146760 | − | 0.324033i | ||||
\(299\) | −7.41646 | + | 7.41646i | −0.428905 | + | 0.428905i | ||||
\(300\) | 0.879406 | + | 4.40656i | 0.0507726 | + | 0.254413i | ||||
\(301\) | −9.82490 | − | 9.82490i | −0.566298 | − | 0.566298i | ||||
\(302\) | −0.899529 | − | 2.38892i | −0.0517621 | − | 0.137467i | ||||
\(303\) | 1.85358 | + | 0.944448i | 0.106486 | + | 0.0542571i | ||||
\(304\) | −1.05047 | − | 2.96089i | −0.0602488 | − | 0.169819i | ||||
\(305\) | 5.01711 | − | 18.7367i | 0.287279 | − | 1.07286i | ||||
\(306\) | 1.28504 | − | 11.5171i | 0.0734611 | − | 0.658390i | ||||
\(307\) | − | 32.5579i | − | 1.85818i | −0.369854 | − | 0.929090i | \(-0.620592\pi\) | ||
0.369854 | − | 0.929090i | \(-0.379408\pi\) | |||||||
\(308\) | 17.2222 | − | 1.58762i | 0.981327 | − | 0.0904633i | ||||
\(309\) | 6.60228 | + | 1.04570i | 0.375590 | + | 0.0594877i | ||||
\(310\) | 8.78910 | − | 22.4768i | 0.499187 | − | 1.27660i | ||||
\(311\) | −9.69157 | − | 7.04134i | −0.549559 | − | 0.399278i | 0.278064 | − | 0.960563i | \(-0.410307\pi\) |
−0.827623 | + | 0.561285i | \(0.810307\pi\) | |||||||
\(312\) | −3.70802 | + | 1.80054i | −0.209925 | + | 0.101936i | ||||
\(313\) | 0.122431 | − | 0.772998i | 0.00692020 | − | 0.0436924i | −0.983987 | − | 0.178242i | \(-0.942959\pi\) |
0.990907 | + | 0.134550i | \(0.0429589\pi\) | |||||||
\(314\) | 6.17024 | + | 16.3866i | 0.348207 | + | 0.924749i | ||||
\(315\) | −15.2299 | + | 23.4607i | −0.858110 | + | 1.32186i | ||||
\(316\) | −21.1120 | − | 12.5519i | −1.18764 | − | 0.706100i | ||||
\(317\) | −1.51306 | + | 4.65673i | −0.0849820 | + | 0.261548i | −0.984514 | − | 0.175308i | \(-0.943908\pi\) |
0.899532 | + | 0.436856i | \(0.143908\pi\) | |||||||
\(318\) | −0.985335 | − | 0.648884i | −0.0552548 | − | 0.0363876i | ||||
\(319\) | −0.0640025 | + | 0.196979i | −0.00358345 | + | 0.0110287i | ||||
\(320\) | −3.04797 | − | 17.6270i | −0.170387 | − | 0.985377i | ||||
\(321\) | 0.204000 | + | 0.627847i | 0.0113862 | + | 0.0350430i | ||||
\(322\) | −5.41786 | + | 19.7144i | −0.301926 | + | 1.09864i | ||||
\(323\) | −1.86088 | − | 1.35201i | −0.103542 | − | 0.0752279i | ||||
\(324\) | 5.70683 | + | 13.2722i | 0.317046 | + | 0.737345i | ||||
\(325\) | −3.36630 | + | 15.8633i | −0.186728 | + | 0.879939i | ||||
\(326\) | −4.43135 | − | 2.91823i | −0.245430 | − | 0.161626i | ||||
\(327\) | 7.45671 | − | 1.18103i | 0.412357 | − | 0.0653110i | ||||
\(328\) | 3.88760 | + | 28.0152i | 0.214657 | + | 1.54688i | ||||
\(329\) | −8.79712 | − | 27.0747i | −0.485001 | − | 1.49268i | ||||
\(330\) | 1.10232 | + | 2.51795i | 0.0606806 | + | 0.138608i | ||||
\(331\) | 27.1671 | − | 13.8423i | 1.49324 | − | 0.760843i | 0.498856 | − | 0.866685i | \(-0.333754\pi\) |
0.994383 | + | 0.105842i | \(0.0337537\pi\) | |||||||
\(332\) | 7.74994 | + | 18.0238i | 0.425333 | + | 0.989185i | ||||
\(333\) | −19.5602 | − | 6.35549i | −1.07189 | − | 0.348279i | ||||
\(334\) | 0.869872 | − | 0.953750i | 0.0475973 | − | 0.0521869i | ||||
\(335\) | −9.73558 | − | 8.76300i | −0.531912 | − | 0.478774i | ||||
\(336\) | −4.54726 | + | 6.62468i | −0.248074 | + | 0.361406i | ||||
\(337\) | −1.67680 | + | 10.5869i | −0.0913409 | + | 0.576704i | 0.898989 | + | 0.437971i | \(0.144303\pi\) |
−0.990330 | + | 0.138732i | \(0.955697\pi\) | |||||||
\(338\) | 3.50486 | − | 0.161205i | 0.190639 | − | 0.00876841i | ||||
\(339\) | 0.0643078 | + | 0.406023i | 0.00349272 | + | 0.0220522i | ||||
\(340\) | −9.14325 | − | 9.37712i | −0.495862 | − | 0.508546i | ||||
\(341\) | 2.30944 | − | 14.5812i | 0.125063 | − | 0.789617i | ||||
\(342\) | 3.08885 | + | 0.344644i | 0.167026 | + | 0.0186362i | ||||
\(343\) | −18.9201 | − | 18.9201i | −1.02159 | − | 1.02159i | ||||
\(344\) | −4.14057 | + | 7.75471i | −0.223244 | + | 0.418106i | ||||
\(345\) | −3.24481 | + | 0.170598i | −0.174695 | + | 0.00918471i | ||||
\(346\) | −28.2049 | − | 7.75122i | −1.51631 | − | 0.416708i | ||||
\(347\) | −2.64216 | − | 8.13172i | −0.141838 | − | 0.436534i | 0.854753 | − | 0.519036i | \(-0.173709\pi\) |
−0.996591 | + | 0.0825021i | \(0.973709\pi\) | |||||||
\(348\) | −0.0513705 | − | 0.0813641i | −0.00275375 | − | 0.00436157i | ||||
\(349\) | −3.81488 | + | 3.81488i | −0.204206 | + | 0.204206i | −0.801799 | − | 0.597593i | \(-0.796124\pi\) |
0.597593 | + | 0.801799i | \(0.296124\pi\) | |||||||
\(350\) | 9.58594 | + | 30.1226i | 0.512390 | + | 1.61012i | ||||
\(351\) | − | 8.44994i | − | 0.451025i | ||||||
\(352\) | −4.12873 | − | 10.1337i | −0.220062 | − | 0.540128i | ||||
\(353\) | −4.47238 | + | 8.77755i | −0.238041 | + | 0.467182i | −0.978862 | − | 0.204520i | \(-0.934437\pi\) |
0.740821 | + | 0.671702i | \(0.234437\pi\) | |||||||
\(354\) | 4.26785 | + | 7.50258i | 0.226834 | + | 0.398757i | ||||
\(355\) | 2.91522 | − | 27.7813i | 0.154724 | − | 1.47448i | ||||
\(356\) | −4.40328 | + | 0.405915i | −0.233373 | + | 0.0215134i | ||||
\(357\) | 5.88287i | 0.311355i | ||||||||
\(358\) | −4.52099 | − | 0.504438i | −0.238942 | − | 0.0266604i | ||||
\(359\) | 5.45279 | + | 7.50512i | 0.287787 | + | 0.396105i | 0.928294 | − | 0.371847i | \(-0.121276\pi\) |
−0.640506 | + | 0.767953i | \(0.721276\pi\) | |||||||
\(360\) | 17.0034 | + | 4.90459i | 0.896160 | + | 0.258495i | ||||
\(361\) | −10.8053 | + | 14.8722i | −0.568701 | + | 0.782750i | ||||
\(362\) | −10.4446 | + | 11.4517i | −0.548956 | + | 0.601889i | ||||
\(363\) | −1.91702 | − | 2.63855i | −0.100617 | − | 0.138488i | ||||
\(364\) | −24.5202 | + | 15.4812i | −1.28521 | + | 0.811435i | ||||
\(365\) | 35.9822 | + | 9.63493i | 1.88339 | + | 0.504315i | ||||
\(366\) | 4.07282 | + | 3.71463i | 0.212889 | + | 0.194167i | ||||
\(367\) | −22.4879 | + | 11.4582i | −1.17386 | + | 0.598111i | −0.928504 | − | 0.371322i | \(-0.878905\pi\) |
−0.245355 | + | 0.969433i | \(0.578905\pi\) | |||||||
\(368\) | 12.9309 | − | 0.346242i | 0.674068 | − | 0.0180491i | ||||
\(369\) | −26.6108 | − | 8.64637i | −1.38530 | − | 0.450112i | ||||
\(370\) | −19.5723 | + | 12.5377i | −1.01752 | + | 0.651806i | ||||
\(371\) | −7.39520 | − | 3.76804i | −0.383940 | − | 0.195627i | ||||
\(372\) | 4.52378 | + | 5.15531i | 0.234547 | + | 0.267290i | ||||
\(373\) | −8.21921 | − | 5.97161i | −0.425575 | − | 0.309198i | 0.354302 | − | 0.935131i | \(-0.384718\pi\) |
−0.779877 | + | 0.625933i | \(0.784718\pi\) | |||||||
\(374\) | −6.69091 | − | 4.40624i | −0.345979 | − | 0.227841i | ||||
\(375\) | −4.06288 | + | 2.95498i | −0.209806 | + | 0.152594i | ||||
\(376\) | −14.7720 | + | 10.3053i | −0.761810 | + | 0.531453i | ||||
\(377\) | −0.0543243 | − | 0.342990i | −0.00279784 | − | 0.0176649i | ||||
\(378\) | −8.14436 | − | 14.3172i | −0.418901 | − | 0.736397i | ||||
\(379\) | −8.39416 | − | 4.27704i | −0.431179 | − | 0.219697i | 0.224911 | − | 0.974379i | \(-0.427791\pi\) |
−0.656090 | + | 0.754683i | \(0.727791\pi\) | |||||||
\(380\) | 2.51491 | − | 2.45219i | 0.129012 | − | 0.125794i | ||||
\(381\) | −3.86986 | + | 1.97179i | −0.198259 | + | 0.101018i | ||||
\(382\) | −14.7574 | + | 22.4093i | −0.755057 | + | 1.14656i | ||||
\(383\) | −13.5156 | − | 26.5259i | −0.690616 | − | 1.35541i | −0.923762 | − | 0.382968i | \(-0.874902\pi\) |
0.233146 | − | 0.972442i | \(-0.425098\pi\) | |||||||
\(384\) | 4.84671 | + | 1.53429i | 0.247333 | + | 0.0782962i | ||||
\(385\) | 9.67114 | + | 16.7444i | 0.492887 | + | 0.853375i | ||||
\(386\) | 9.73353 | − | 21.4908i | 0.495424 | − | 1.09385i | ||||
\(387\) | −5.11173 | − | 7.03570i | −0.259844 | − | 0.357645i | ||||
\(388\) | 4.05895 | − | 1.03212i | 0.206062 | − | 0.0523978i | ||||
\(389\) | 5.54840 | + | 35.0312i | 0.281315 | + | 1.77615i | 0.572918 | + | 0.819613i | \(0.305811\pi\) |
−0.291603 | + | 0.956539i | \(0.594189\pi\) | |||||||
\(390\) | −3.56342 | − | 2.92254i | −0.180441 | − | 0.147989i | ||||
\(391\) | 7.66187 | − | 5.56668i | 0.387478 | − | 0.281519i | ||||
\(392\) | −17.2991 | + | 32.3988i | −0.873735 | + | 1.63639i | ||||
\(393\) | 1.23430 | − | 1.23430i | 0.0622620 | − | 0.0622620i | ||||
\(394\) | 2.45104 | + | 3.06669i | 0.123482 | + | 0.154498i | ||||
\(395\) | 2.86584 | − | 27.3107i | 0.144196 | − | 1.37415i | ||||
\(396\) | 10.8022 | + | 0.704811i | 0.542829 | + | 0.0354181i | ||||
\(397\) | −4.70586 | − | 14.4831i | −0.236180 | − | 0.726888i | −0.996963 | − | 0.0778809i | \(-0.975185\pi\) |
0.760782 | − | 0.649007i | \(-0.224815\pi\) | |||||||
\(398\) | −1.15832 | + | 0.436157i | −0.0580615 | + | 0.0218626i | ||||
\(399\) | −1.57777 | −0.0789871 | ||||||||
\(400\) | 16.4720 | − | 11.3434i | 0.823602 | − | 0.567169i | ||||
\(401\) | 31.6458 | 1.58032 | 0.790158 | − | 0.612903i | \(-0.209998\pi\) | ||||
0.790158 | + | 0.612903i | \(0.209998\pi\) | |||||||
\(402\) | 3.48370 | − | 1.31176i | 0.173751 | − | 0.0654246i | ||||
\(403\) | 7.64897 | + | 23.5411i | 0.381022 | + | 1.17267i | ||||
\(404\) | 0.602866 | − | 9.23972i | 0.0299937 | − | 0.459693i | ||||
\(405\) | −10.8060 | + | 12.0054i | −0.536957 | + | 0.596552i | ||||
\(406\) | −0.422631 | − | 0.528787i | −0.0209748 | − | 0.0262432i | ||||
\(407\) | −10.0538 | + | 10.0538i | −0.498350 | + | 0.498350i | ||||
\(408\) | 3.56128 | − | 1.08202i | 0.176310 | − | 0.0535681i | ||||
\(409\) | −9.17708 | + | 6.66754i | −0.453777 | + | 0.329688i | −0.791085 | − | 0.611706i | \(-0.790484\pi\) |
0.337308 | + | 0.941394i | \(0.390484\pi\) | |||||||
\(410\) | −26.6273 | + | 17.0570i | −1.31503 | + | 0.842388i | ||||
\(411\) | −1.17598 | − | 7.42485i | −0.0580069 | − | 0.366241i | ||||
\(412\) | −7.33219 | − | 28.8349i | −0.361231 | − | 1.42059i | ||||
\(413\) | 35.6916 | + | 49.1253i | 1.75627 | + | 2.41730i | ||||
\(414\) | −5.27959 | + | 11.6569i | −0.259478 | + | 0.572904i | ||||
\(415\) | −14.6747 | + | 16.3034i | −0.720354 | + | 0.800304i | ||||
\(416\) | 13.8817 | + | 11.9962i | 0.680606 | + | 0.588162i | ||||
\(417\) | −0.845597 | − | 1.65958i | −0.0414090 | − | 0.0812698i | ||||
\(418\) | 1.18174 | − | 1.79448i | 0.0578007 | − | 0.0877708i | ||||
\(419\) | −24.8800 | + | 12.6770i | −1.21547 | + | 0.619312i | −0.939729 | − | 0.341920i | \(-0.888923\pi\) |
−0.275739 | + | 0.961232i | \(0.588923\pi\) | |||||||
\(420\) | −8.85454 | − | 1.51727i | −0.432057 | − | 0.0740353i | ||||
\(421\) | −12.3957 | − | 6.31591i | −0.604128 | − | 0.307818i | 0.125042 | − | 0.992151i | \(-0.460093\pi\) |
−0.729170 | + | 0.684333i | \(0.760093\pi\) | |||||||
\(422\) | 13.9997 | + | 24.6105i | 0.681496 | + | 1.19802i | ||||
\(423\) | −2.78739 | − | 17.5989i | −0.135527 | − | 0.855686i | ||||
\(424\) | −0.920855 | + | 5.16984i | −0.0447207 | + | 0.251069i | ||||
\(425\) | 5.24293 | − | 13.6720i | 0.254319 | − | 0.663189i | ||||
\(426\) | 6.63003 | + | 4.36614i | 0.321226 | + | 0.211540i | ||||
\(427\) | 31.3730 | + | 22.7938i | 1.51825 | + | 1.10307i | ||||
\(428\) | 2.20857 | − | 1.93801i | 0.106755 | − | 0.0936774i | ||||
\(429\) | −2.51184 | − | 1.27985i | −0.121273 | − | 0.0617915i | ||||
\(430\) | −9.81165 | − | 0.575521i | −0.473160 | − | 0.0277541i | ||||
\(431\) | 1.25312 | + | 0.407163i | 0.0603606 | + | 0.0196123i | 0.339042 | − | 0.940771i | \(-0.389897\pi\) |
−0.278681 | + | 0.960384i | \(0.589897\pi\) | |||||||
\(432\) | −7.16914 | + | 7.56363i | −0.344925 | + | 0.363905i | ||||
\(433\) | −4.80416 | + | 2.44784i | −0.230873 | + | 0.117636i | −0.565601 | − | 0.824679i | \(-0.691356\pi\) |
0.334728 | + | 0.942315i | \(0.391356\pi\) | |||||||
\(434\) | 35.6498 | + | 32.5146i | 1.71125 | + | 1.56075i | ||||
\(435\) | 0.0585780 | − | 0.0902353i | 0.00280860 | − | 0.00432645i | ||||
\(436\) | −17.9394 | − | 28.4136i | −0.859141 | − | 1.36077i | ||||
\(437\) | 1.49296 | + | 2.05489i | 0.0714181 | + | 0.0982986i | ||||
\(438\) | −7.13364 | + | 7.82150i | −0.340859 | + | 0.373726i | ||||
\(439\) | −8.36317 | + | 11.5109i | −0.399152 | + | 0.549386i | −0.960531 | − | 0.278173i | \(-0.910271\pi\) |
0.561379 | + | 0.827559i | \(0.310271\pi\) | |||||||
\(440\) | 8.35768 | − | 8.93433i | 0.398437 | − | 0.425927i | ||||
\(441\) | −21.3566 | − | 29.3948i | −1.01698 | − | 1.39975i | ||||
\(442\) | 13.3497 | + | 1.48952i | 0.634980 | + | 0.0708491i | ||||
\(443\) | 3.84386i | 0.182627i | 0.995822 | + | 0.0913136i | \(0.0291066\pi\) | ||||
−0.995822 | + | 0.0913136i | \(0.970893\pi\) | |||||||
\(444\) | −0.606368 | − | 6.57776i | −0.0287770 | − | 0.312167i | ||||
\(445\) | −2.47266 | − | 4.28112i | −0.117216 | − | 0.202945i | ||||
\(446\) | 6.68303 | + | 11.7483i | 0.316451 | + | 0.556297i | ||||
\(447\) | −0.885783 | + | 1.73845i | −0.0418961 | + | 0.0822258i | ||||
\(448\) | 35.0829 | + | 6.94614i | 1.65751 | + | 0.328174i | ||||
\(449\) | 6.21818i | 0.293454i | 0.989177 | + | 0.146727i | \(0.0468739\pi\) | ||||
−0.989177 | + | 0.146727i | \(0.953126\pi\) | |||||||
\(450\) | 2.97661 | + | 19.5603i | 0.140319 | + | 0.922081i | ||||
\(451\) | −13.6778 | + | 13.6778i | −0.644063 | + | 0.644063i | ||||
\(452\) | 1.54714 | − | 0.976813i | 0.0727715 | − | 0.0459454i | ||||
\(453\) | 0.250635 | + | 0.771375i | 0.0117759 | + | 0.0362423i | ||||
\(454\) | −19.4631 | − | 5.34880i | −0.913447 | − | 0.251032i | ||||
\(455\) | −27.1936 | − | 17.6533i | −1.27486 | − | 0.827599i | ||||
\(456\) | 0.290195 | + | 0.955122i | 0.0135896 | + | 0.0447277i | ||||
\(457\) | −8.35212 | − | 8.35212i | −0.390696 | − | 0.390696i | 0.484240 | − | 0.874935i | \(-0.339096\pi\) |
−0.874935 | + | 0.484240i | \(0.839096\pi\) | |||||||
\(458\) | 28.1671 | + | 3.14280i | 1.31616 | + | 0.146853i | ||||
\(459\) | −1.19358 | + | 7.53597i | −0.0557116 | + | 0.351749i | ||||
\(460\) | 6.40252 | + | 12.9679i | 0.298519 | + | 0.604632i | ||||
\(461\) | −3.20990 | − | 20.2665i | −0.149500 | − | 0.943907i | −0.942384 | − | 0.334534i | \(-0.891421\pi\) |
0.792884 | − | 0.609373i | \(-0.208579\pi\) | |||||||
\(462\) | −5.48950 | + | 0.252489i | −0.255395 | + | 0.0117468i | ||||
\(463\) | 5.48991 | − | 34.6619i | 0.255138 | − | 1.61088i | −0.444094 | − | 0.895980i | \(-0.646474\pi\) |
0.699232 | − | 0.714895i | \(-0.253526\pi\) | |||||||
\(464\) | −0.242375 | + | 0.353104i | −0.0112520 | + | 0.0163924i | ||||
\(465\) | −3.11779 | + | 7.00583i | −0.144584 | + | 0.324888i | ||||
\(466\) | −5.24900 | + | 5.75514i | −0.243155 | + | 0.266602i | ||||
\(467\) | 20.8553 | + | 6.77630i | 0.965068 | + | 0.313570i | 0.748823 | − | 0.662770i | \(-0.230619\pi\) |
0.216245 | + | 0.976339i | \(0.430619\pi\) | |||||||
\(468\) | −16.6741 | + | 7.16958i | −0.770760 | + | 0.331414i | ||||
\(469\) | 23.3332 | − | 11.8888i | 1.07743 | − | 0.548976i | ||||
\(470\) | −17.3764 | − | 10.1771i | −0.801515 | − | 0.469437i | ||||
\(471\) | −1.71921 | − | 5.29118i | −0.0792169 | − | 0.243805i | ||||
\(472\) | 23.1740 | − | 30.6419i | 1.06667 | − | 1.41041i | ||||
\(473\) | −5.93813 | + | 0.940507i | −0.273035 | + | 0.0432446i | ||||
\(474\) | 6.51771 | + | 4.29218i | 0.299368 | + | 0.197146i | ||||
\(475\) | 3.66678 | + | 1.40613i | 0.168243 | + | 0.0645179i | ||||
\(476\) | 24.0548 | − | 10.3431i | 1.10255 | − | 0.474077i | ||||
\(477\) | −4.20275 | − | 3.05348i | −0.192431 | − | 0.139809i | ||||
\(478\) | −3.40846 | + | 12.4026i | −0.155899 | + | 0.567283i | ||||
\(479\) | 0.271779 | + | 0.836449i | 0.0124179 | + | 0.0382183i | 0.957073 | − | 0.289845i | \(-0.0936039\pi\) |
−0.944656 | + | 0.328064i | \(0.893604\pi\) | |||||||
\(480\) | 0.710094 | + | 5.63929i | 0.0324112 | + | 0.257397i | ||||
\(481\) | 7.36676 | − | 22.6725i | 0.335895 | − | 1.03378i | ||||
\(482\) | −33.8031 | − | 22.2608i | −1.53969 | − | 1.01395i | ||||
\(483\) | 2.00743 | − | 6.17824i | 0.0913413 | − | 0.281120i | ||||
\(484\) | −7.41843 | + | 12.4776i | −0.337201 | + | 0.567165i | ||||
\(485\) | 2.94738 | + | 3.63846i | 0.133834 | + | 0.165214i | ||||
\(486\) | −5.51272 | − | 14.6404i | −0.250062 | − | 0.664102i | ||||
\(487\) | −6.02803 | + | 38.0595i | −0.273156 | + | 1.72464i | 0.345016 | + | 0.938597i | \(0.387873\pi\) |
−0.618172 | + | 0.786043i | \(0.712127\pi\) | |||||||
\(488\) | 8.02820 | − | 23.1845i | 0.363420 | − | 1.04951i | ||||
\(489\) | 1.36391 | + | 0.990936i | 0.0616780 | + | 0.0448117i | ||||
\(490\) | −40.9926 | − | 2.40450i | −1.85186 | − | 0.108624i | ||||
\(491\) | −9.21566 | − | 1.45962i | −0.415897 | − | 0.0658716i | −0.0550205 | − | 0.998485i | \(-0.517522\pi\) |
−0.360877 | + | 0.932614i | \(0.617522\pi\) | |||||||
\(492\) | −0.824938 | − | 8.94876i | −0.0371911 | − | 0.403441i | ||||
\(493\) | 0.313565i | 0.0141222i | ||||||||
\(494\) | −0.399483 | + | 3.58034i | −0.0179736 | + | 0.161087i | ||||
\(495\) | 4.33917 | + | 11.2983i | 0.195031 | + | 0.507820i | ||||
\(496\) | 13.1262 | − | 27.5615i | 0.589383 | − | 1.23755i | ||||
\(497\) | 49.7601 | + | 25.3541i | 2.23205 | + | 1.13728i | ||||
\(498\) | −2.19670 | − | 5.83389i | −0.0984366 | − | 0.261423i | ||||
\(499\) | −12.4385 | − | 12.4385i | −0.556824 | − | 0.556824i | 0.371578 | − | 0.928402i | \(-0.378817\pi\) |
−0.928402 | + | 0.371578i | \(0.878817\pi\) | |||||||
\(500\) | 19.2260 | + | 11.4175i | 0.859814 | + | 0.510607i | ||||
\(501\) | −0.290021 | + | 0.290021i | −0.0129572 | + | 0.0129572i | ||||
\(502\) | 13.9488 | − | 30.7977i | 0.622565 | − | 1.37457i | ||||
\(503\) | 5.38174 | − | 10.5623i | 0.239960 | − | 0.470948i | −0.739348 | − | 0.673323i | \(-0.764866\pi\) |
0.979308 | + | 0.202376i | \(0.0648662\pi\) | |||||||
\(504\) | −21.3415 | + | 28.2189i | −0.950626 | + | 1.25697i | ||||
\(505\) | 9.66407 | − | 3.71155i | 0.430045 | − | 0.165162i | ||||
\(506\) | 5.52329 | + | 6.91063i | 0.245540 | + | 0.307215i | ||||
\(507\) | −1.11479 | −0.0495097 | ||||||||
\(508\) | 14.8665 | + | 12.3569i | 0.659592 | + | 0.548248i | ||||
\(509\) | 5.18420 | − | 32.7317i | 0.229786 | − | 1.45081i | −0.555418 | − | 0.831571i | \(-0.687442\pi\) |
0.785204 | − | 0.619238i | \(-0.212558\pi\) | |||||||
\(510\) | 2.76517 | + | 3.10977i | 0.122444 | + | 0.137703i | ||||
\(511\) | −43.7737 | + | 60.2493i | −1.93643 | + | 2.66527i | ||||
\(512\) | −2.24777 | − | 22.5155i | −0.0993383 | − | 0.995054i | ||||
\(513\) | −2.02112 | − | 0.320114i | −0.0892346 | − | 0.0141334i | ||||
\(514\) | −30.3899 | − | 13.7641i | −1.34044 | − | 0.607108i | ||||
\(515\) | 25.8477 | − | 20.9382i | 1.13899 | − | 0.922649i | ||||
\(516\) | 1.42742 | − | 2.40089i | 0.0628388 | − | 0.105693i | ||||
\(517\) | −11.7152 | − | 3.80651i | −0.515236 | − | 0.167410i | ||||
\(518\) | −9.37072 | − | 45.5157i | −0.411726 | − | 1.99984i | ||||
\(519\) | 8.83908 | + | 2.87199i | 0.387992 | + | 0.126066i | ||||
\(520\) | −5.68499 | + | 19.7090i | −0.249303 | + | 0.864296i | ||||
\(521\) | −28.5847 | + | 9.28773i | −1.25232 | + | 0.406903i | −0.858751 | − | 0.512393i | \(-0.828759\pi\) |
−0.393567 | + | 0.919296i | \(0.628759\pi\) | |||||||
\(522\) | −0.209494 | − | 0.368275i | −0.00916929 | − | 0.0161190i | ||||
\(523\) | 12.3945 | − | 17.0596i | 0.541976 | − | 0.745965i | −0.446921 | − | 0.894574i | \(-0.647479\pi\) |
0.988896 | + | 0.148608i | \(0.0474794\pi\) | |||||||
\(524\) | −7.21708 | − | 2.87686i | −0.315280 | − | 0.125676i | ||||
\(525\) | −2.60282 | − | 9.70085i | −0.113596 | − | 0.423380i | ||||
\(526\) | 4.14518 | + | 20.1340i | 0.180738 | + | 0.877886i | ||||
\(527\) | −3.49638 | − | 22.0753i | −0.152305 | − | 0.961614i | ||||
\(528\) | 1.16252 | + | 3.27671i | 0.0505922 | + | 0.142600i | ||||
\(529\) | 11.9282 | − | 3.87571i | 0.518618 | − | 0.168509i | ||||
\(530\) | −5.68033 | + | 1.48418i | −0.246738 | + | 0.0644685i | ||||
\(531\) | 17.2544 | + | 33.8637i | 0.748778 | + | 1.46956i | ||||
\(532\) | 2.77400 | + | 6.45140i | 0.120268 | + | 0.279704i | ||||
\(533\) | 10.0222 | − | 30.8450i | 0.434108 | − | 1.33605i | ||||
\(534\) | 1.40353 | − | 0.0645549i | 0.0607365 | − | 0.00279356i | ||||
\(535\) | 3.00134 | + | 1.33568i | 0.129759 | + | 0.0577465i | ||||
\(536\) | −11.4887 | − | 11.9384i | −0.496236 | − | 0.515659i | ||||
\(537\) | 1.42760 | + | 0.226109i | 0.0616054 | + | 0.00975733i | ||||
\(538\) | 10.9995 | − | 12.0601i | 0.474220 | − | 0.519947i | ||||
\(539\) | −24.8092 | + | 3.92939i | −1.06861 | + | 0.169251i | ||||
\(540\) | −11.0348 | − | 3.74013i | −0.474864 | − | 0.160950i | ||||
\(541\) | −33.8241 | − | 5.35721i | −1.45421 | − | 0.230324i | −0.621231 | − | 0.783627i | \(-0.713367\pi\) |
−0.832980 | + | 0.553303i | \(0.813367\pi\) | |||||||
\(542\) | 2.30195 | + | 2.88015i | 0.0988772 | + | 0.123713i | ||||
\(543\) | 3.48229 | − | 3.48229i | 0.149439 | − | 0.149439i | ||||
\(544\) | −10.6857 | − | 12.6595i | −0.458146 | − | 0.542771i | ||||
\(545\) | 20.4564 | − | 31.5116i | 0.876255 | − | 1.34981i | ||||
\(546\) | 8.00870 | − | 4.55576i | 0.342741 | − | 0.194969i | ||||
\(547\) | −8.30122 | + | 2.69723i | −0.354935 | + | 0.115325i | −0.481057 | − | 0.876689i | \(-0.659747\pi\) |
0.126122 | + | 0.992015i | \(0.459747\pi\) | |||||||
\(548\) | −28.2922 | + | 17.8628i | −1.20858 | + | 0.763059i | ||||
\(549\) | 17.1629 | + | 17.1629i | 0.732494 | + | 0.732494i | ||||
\(550\) | 12.9828 | + | 4.30556i | 0.553589 | + | 0.183590i | ||||
\(551\) | −0.0840969 | −0.00358265 | ||||||||
\(552\) | −4.10931 | − | 0.0788772i | −0.174904 | − | 0.00335723i | ||||
\(553\) | 48.9171 | + | 24.9245i | 2.08017 | + | 1.05990i | ||||
\(554\) | 23.2679 | + | 6.39445i | 0.988560 | + | 0.271674i | ||||
\(555\) | 6.39527 | − | 3.69374i | 0.271464 | − | 0.156791i | ||||
\(556\) | −5.29921 | + | 6.37543i | −0.224737 | + | 0.270379i | ||||
\(557\) | 42.1778 | 1.78713 | 0.893565 | − | 0.448935i | \(-0.148196\pi\) | ||||
0.893565 | + | 0.448935i | \(0.148196\pi\) | |||||||
\(558\) | 18.8550 | + | 23.5910i | 0.798196 | + | 0.998686i | ||||
\(559\) | 8.15520 | − | 5.92510i | 0.344928 | − | 0.250605i | ||||
\(560\) | 9.36383 | + | 38.8734i | 0.395694 | + | 1.64270i | ||||
\(561\) | 2.05937 | + | 1.49622i | 0.0869466 | + | 0.0631704i | ||||
\(562\) | 1.39511 | + | 30.3318i | 0.0588490 | + | 1.27947i | ||||
\(563\) | 0.394816 | − | 0.286850i | 0.0166395 | − | 0.0120893i | −0.579434 | − | 0.815019i | \(-0.696727\pi\) |
0.596074 | + | 0.802930i | \(0.296727\pi\) | |||||||
\(564\) | 4.83908 | − | 3.05523i | 0.203762 | − | 0.128648i | ||||
\(565\) | 1.71583 | + | 1.11386i | 0.0721855 | + | 0.0468606i | ||||
\(566\) | 1.43210 | + | 31.1362i | 0.0601957 | + | 1.30875i | ||||
\(567\) | −14.6607 | − | 28.7732i | −0.615690 | − | 1.20836i | ||||
\(568\) | 6.19616 | − | 34.7863i | 0.259985 | − | 1.45960i | ||||
\(569\) | −7.38580 | + | 22.7311i | −0.309629 | + | 0.952939i | 0.668281 | + | 0.743909i | \(0.267031\pi\) |
−0.977909 | + | 0.209030i | \(0.932969\pi\) | |||||||
\(570\) | −0.834030 | + | 0.741608i | −0.0349337 | + | 0.0310625i | ||||
\(571\) | 5.56330 | − | 10.9186i | 0.232817 | − | 0.456929i | −0.744810 | − | 0.667277i | \(-0.767460\pi\) |
0.977627 | + | 0.210348i | \(0.0674597\pi\) | |||||||
\(572\) | −0.816958 | + | 12.5210i | −0.0341587 | + | 0.523528i | ||||
\(573\) | 5.01116 | − | 6.89726i | 0.209344 | − | 0.288137i | ||||
\(574\) | −12.7485 | − | 61.9221i | −0.532111 | − | 2.58458i | ||||
\(575\) | −10.1715 | + | 12.5694i | −0.424181 | + | 0.524179i | ||||
\(576\) | 21.0080 | + | 7.72914i | 0.875333 | + | 0.322047i | ||||
\(577\) | −35.6109 | + | 5.64021i | −1.48250 | + | 0.234805i | −0.844635 | − | 0.535342i | \(-0.820183\pi\) |
−0.637866 | + | 0.770147i | \(0.720183\pi\) | |||||||
\(578\) | 11.4868 | + | 3.15678i | 0.477788 | + | 0.131305i | ||||
\(579\) | −3.40316 | + | 6.67907i | −0.141430 | + | 0.277573i | ||||
\(580\) | −0.471958 | − | 0.0808725i | −0.0195970 | − | 0.00335805i | ||||
\(581\) | −19.9093 | − | 39.0743i | −0.825978 | − | 1.62107i | ||||
\(582\) | −1.30338 | + | 0.268338i | −0.0540267 | + | 0.0111230i | ||||
\(583\) | −3.19990 | + | 1.63043i | −0.132526 | + | 0.0675256i | ||||
\(584\) | 44.5239 | + | 15.4175i | 1.84241 | + | 0.637980i | ||||
\(585\) | −15.0825 | − | 13.5758i | −0.623586 | − | 0.561290i | ||||
\(586\) | −0.865129 | − | 2.29756i | −0.0357381 | − | 0.0949115i | ||||
\(587\) | 14.6971 | − | 10.6781i | 0.606614 | − | 0.440731i | −0.241607 | − | 0.970374i | \(-0.577674\pi\) |
0.848220 | + | 0.529644i | \(0.177674\pi\) | |||||||
\(588\) | 5.96370 | − | 10.0308i | 0.245939 | − | 0.413664i | ||||
\(589\) | 5.92051 | − | 0.937716i | 0.243950 | − | 0.0386379i | ||||
\(590\) | 41.9578 | + | 9.19197i | 1.72738 | + | 0.378428i | ||||
\(591\) | −0.733189 | − | 1.00915i | −0.0301594 | − | 0.0415108i | ||||
\(592\) | −25.8300 | + | 14.0443i | −1.06161 | + | 0.577217i | ||||
\(593\) | −11.0868 | − | 11.0868i | −0.455280 | − | 0.455280i | 0.441823 | − | 0.897102i | \(-0.354332\pi\) |
−0.897102 | + | 0.441823i | \(0.854332\pi\) | |||||||
\(594\) | −7.08329 | − | 0.790331i | −0.290631 | − | 0.0324277i | ||||
\(595\) | 21.7587 | + | 19.5850i | 0.892020 | + | 0.802908i | ||||
\(596\) | 8.66579 | + | 0.565418i | 0.354965 | + | 0.0231604i | ||||
\(597\) | 0.374019 | − | 0.121526i | 0.0153076 | − | 0.00497373i | ||||
\(598\) | −13.5117 | − | 6.11966i | −0.552534 | − | 0.250252i | ||||
\(599\) | − | 13.3284i | − | 0.544583i | −0.962215 | − | 0.272292i | \(-0.912218\pi\) | ||
0.962215 | − | 0.272292i | \(-0.0877816\pi\) | |||||||
\(600\) | −5.39382 | + | 3.35991i | −0.220202 | + | 0.137168i | ||||
\(601\) | 14.2316i | 0.580517i | 0.956948 | + | 0.290259i | \(0.0937413\pi\) | ||||
−0.956948 | + | 0.290259i | \(0.906259\pi\) | |||||||
\(602\) | 8.10697 | − | 17.8995i | 0.330415 | − | 0.729529i | ||||
\(603\) | 15.5886 | − | 5.06503i | 0.634815 | − | 0.206264i | ||||
\(604\) | 2.71345 | − | 2.38105i | 0.110409 | − | 0.0968835i | ||||
\(605\) | −16.1411 | − | 1.69377i | −0.656231 | − | 0.0688615i | ||||
\(606\) | −0.326237 | + | 2.92388i | −0.0132525 | + | 0.118775i | ||||
\(607\) | 3.91900 | + | 3.91900i | 0.159067 | + | 0.159067i | 0.782153 | − | 0.623086i | \(-0.214121\pi\) |
−0.623086 | + | 0.782153i | \(0.714121\pi\) | |||||||
\(608\) | 3.39523 | − | 2.86587i | 0.137695 | − | 0.116226i | ||||
\(609\) | 0.126423 | + | 0.174007i | 0.00512292 | + | 0.00705110i | ||||
\(610\) | 27.2982 | − | 2.69732i | 1.10527 | − | 0.109211i | ||||
\(611\) | 20.3991 | − | 3.23091i | 0.825261 | − | 0.130708i | ||||
\(612\) | 15.8833 | − | 4.03883i | 0.642044 | − | 0.163260i | ||||
\(613\) | −0.0658664 | + | 0.0478547i | −0.00266032 | + | 0.00193283i | −0.589115 | − | 0.808049i | \(-0.700523\pi\) |
0.586454 | + | 0.809982i | \(0.300523\pi\) | |||||||
\(614\) | 43.0904 | − | 16.2253i | 1.73899 | − | 0.654801i | ||||
\(615\) | 8.70049 | − | 5.02518i | 0.350838 | − | 0.202635i | ||||
\(616\) | 10.6839 | + | 22.0024i | 0.430469 | + | 0.886501i | ||||
\(617\) | −22.5169 | + | 11.4729i | −0.906495 | + | 0.461882i | −0.844110 | − | 0.536170i | \(-0.819871\pi\) |
−0.0623852 | + | 0.998052i | \(0.519871\pi\) | |||||||
\(618\) | 1.90628 | + | 9.25922i | 0.0766818 | + | 0.372461i | ||||
\(619\) | 11.7162 | + | 22.9943i | 0.470912 | + | 0.924217i | 0.997262 | + | 0.0739491i | \(0.0235602\pi\) |
−0.526350 | + | 0.850268i | \(0.676440\pi\) | |||||||
\(620\) | 34.1281 | + | 0.430970i | 1.37062 | + | 0.0173082i | ||||
\(621\) | 3.82503 | − | 7.50705i | 0.153493 | − | 0.301247i | ||||
\(622\) | 4.48938 | − | 16.3358i | 0.180008 | − | 0.655007i | ||||
\(623\) | 9.76245 | − | 1.54622i | 0.391124 | − | 0.0619480i | ||||
\(624\) | −4.23091 | − | 4.01025i | −0.169372 | − | 0.160538i | ||||
\(625\) | −2.59654 | + | 24.8648i | −0.103862 | + | 0.994592i | ||||
\(626\) | 1.08407 | − | 0.223188i | 0.0433283 | − | 0.00892039i | ||||
\(627\) | −0.401280 | + | 0.552315i | −0.0160256 | + | 0.0220573i | ||||
\(628\) | −18.6127 | + | 16.3326i | −0.742726 | + | 0.651741i | ||||
\(629\) | −9.77251 | + | 19.1796i | −0.389656 | + | 0.764742i | ||||
\(630\) | −38.6400 | − | 8.46512i | −1.53945 | − | 0.337258i | ||||
\(631\) | 9.78969 | − | 30.1296i | 0.389721 | − | 1.19944i | −0.543275 | − | 0.839555i | \(-0.682816\pi\) |
0.932997 | − | 0.359885i | \(-0.117184\pi\) | |||||||
\(632\) | 6.09119 | − | 34.1970i | 0.242295 | − | 1.36028i | ||||
\(633\) | −4.08423 | − | 8.01575i | −0.162333 | − | 0.318597i | ||||
\(634\) | −6.91720 | + | 0.318155i | −0.274717 | + | 0.0126356i | ||||
\(635\) | −5.59041 | + | 20.8777i | −0.221849 | + | 0.828505i | ||||
\(636\) | 0.367752 | − | 1.62746i | 0.0145823 | − | 0.0645330i | ||||
\(637\) | 34.0720 | − | 24.7547i | 1.34998 | − | 0.980819i | ||||
\(638\) | −0.292597 | + | 0.0134580i | −0.0115840 | + | 0.000532806i | ||||
\(639\) | 28.2790 | + | 20.5459i | 1.11870 | + | 0.812784i | ||||
\(640\) | 21.8103 | − | 12.8184i | 0.862127 | − | 0.506692i | ||||
\(641\) | −5.10414 | + | 3.70837i | −0.201601 | + | 0.146472i | −0.684006 | − | 0.729477i | \(-0.739764\pi\) |
0.482404 | + | 0.875949i | \(0.339764\pi\) | |||||||
\(642\) | −0.729290 | + | 0.582882i | −0.0287828 | + | 0.0230045i | ||||
\(643\) | 26.1576 | 1.03156 | 0.515778 | − | 0.856722i | \(-0.327503\pi\) | ||||
0.515778 | + | 0.856722i | \(0.327503\pi\) | |||||||
\(644\) | −28.7919 | + | 2.65417i | −1.13456 | + | 0.104589i | ||||
\(645\) | 3.10581 | + | 0.325908i | 0.122291 | + | 0.0128326i | ||||
\(646\) | 0.862008 | − | 3.13665i | 0.0339152 | − | 0.123410i | ||||
\(647\) | 5.11872 | + | 2.60812i | 0.201238 | + | 0.102536i | 0.551705 | − | 0.834039i | \(-0.313977\pi\) |
−0.350468 | + | 0.936575i | \(0.613977\pi\) | |||||||
\(648\) | −14.7217 | + | 14.1672i | −0.578324 | + | 0.556541i | ||||
\(649\) | 26.2745 | 1.03136 | ||||||||
\(650\) | −22.6727 | + | 3.45023i | −0.889295 | + | 0.135329i | ||||
\(651\) | −10.8406 | − | 10.8406i | −0.424875 | − | 0.424875i | ||||
\(652\) | 1.65389 | − | 7.31918i | 0.0647714 | − | 0.286641i | ||||
\(653\) | 11.6600 | − | 3.78857i | 0.456292 | − | 0.148258i | −0.0718482 | − | 0.997416i | \(-0.522890\pi\) |
0.528140 | + | 0.849157i | \(0.322890\pi\) | |||||||
\(654\) | 5.27915 | + | 9.28037i | 0.206431 | + | 0.362891i | ||||
\(655\) | −0.456064 | − | 8.67440i | −0.0178199 | − | 0.338937i | ||||
\(656\) | −35.1406 | + | 19.1066i | −1.37201 | + | 0.745989i | ||||
\(657\) | −32.9599 | + | 32.9599i | −1.28589 | + | 1.28589i | ||||
\(658\) | 31.4493 | − | 25.1357i | 1.22602 | − | 0.979892i | ||||
\(659\) | 37.6460 | + | 5.96254i | 1.46648 | + | 0.232268i | 0.838048 | − | 0.545597i | \(-0.183697\pi\) |
0.628432 | + | 0.777865i | \(0.283697\pi\) | |||||||
\(660\) | −2.78315 | + | 2.71374i | −0.108334 | + | 0.105632i | ||||
\(661\) | −32.6458 | + | 5.17059i | −1.26978 | + | 0.201113i | −0.754722 | − | 0.656045i | \(-0.772228\pi\) |
−0.515054 | + | 0.857158i | \(0.672228\pi\) | |||||||
\(662\) | 31.8591 | + | 29.0572i | 1.23824 | + | 1.12934i | ||||
\(663\) | −4.21544 | − | 0.667660i | −0.163714 | − | 0.0259298i | ||||
\(664\) | −19.9923 | + | 19.2392i | −0.775850 | + | 0.746627i | ||||
\(665\) | −5.25264 | + | 5.83561i | −0.203688 | + | 0.226295i | ||||
\(666\) | −1.33639 | − | 29.0551i | −0.0517839 | − | 1.12586i | ||||
\(667\) | 0.106999 | − | 0.329308i | 0.00414300 | − | 0.0127509i | ||||
\(668\) | 1.69579 | + | 0.675971i | 0.0656120 | + | 0.0261541i | ||||
\(669\) | −1.94968 | − | 3.82646i | −0.0753790 | − | 0.147940i | ||||
\(670\) | 6.74606 | − | 17.2521i | 0.260623 | − | 0.666506i | ||||
\(671\) | 15.9585 | − | 5.18523i | 0.616071 | − | 0.200174i | ||||
\(672\) | −11.0339 | − | 2.71687i | −0.425641 | − | 0.104805i | ||||
\(673\) | 2.00374 | + | 12.6511i | 0.0772386 | + | 0.487665i | 0.995737 | + | 0.0922400i | \(0.0294027\pi\) |
−0.918498 | + | 0.395425i | \(0.870597\pi\) | |||||||
\(674\) | −14.8473 | + | 3.05675i | −0.571898 | + | 0.117742i | ||||
\(675\) | −1.36601 | − | 12.9549i | −0.0525776 | − | 0.498634i | ||||
\(676\) | 1.96001 | + | 4.55833i | 0.0753849 | + | 0.175320i | ||||
\(677\) | −9.86033 | + | 13.5716i | −0.378963 | + | 0.521598i | −0.955310 | − | 0.295607i | \(-0.904478\pi\) |
0.576346 | + | 0.817206i | \(0.304478\pi\) | |||||||
\(678\) | −0.505323 | + | 0.287454i | −0.0194068 | + | 0.0110396i | ||||
\(679\) | −8.90329 | + | 2.89286i | −0.341677 | + | 0.111018i | ||||
\(680\) | 7.85404 | − | 16.7742i | 0.301189 | − | 0.643260i | ||||
\(681\) | 6.09949 | + | 1.98184i | 0.233733 | + | 0.0759444i | ||||
\(682\) | 20.4491 | − | 4.21004i | 0.783037 | − | 0.161211i | ||||
\(683\) | −40.3421 | − | 13.1079i | −1.54365 | − | 0.501561i | −0.591268 | − | 0.806475i | \(-0.701372\pi\) |
−0.952380 | + | 0.304914i | \(0.901372\pi\) | |||||||
\(684\) | 1.08320 | + | 4.25984i | 0.0414172 | + | 0.162879i | ||||
\(685\) | −31.3770 | − | 20.3690i | −1.19885 | − | 0.778259i | ||||
\(686\) | 15.6119 | − | 34.4696i | 0.596063 | − | 1.31606i | ||||
\(687\) | −8.89435 | − | 1.40873i | −0.339341 | − | 0.0537463i | ||||
\(688\) | −12.3268 | − | 1.61545i | −0.469955 | − | 0.0615886i | ||||
\(689\) | 3.53933 | − | 4.87148i | 0.134838 | − | 0.185588i | ||||
\(690\) | −1.84284 | − | 4.20948i | −0.0701558 | − | 0.160252i | ||||
\(691\) | −2.72162 | + | 17.1836i | −0.103535 | + | 0.653697i | 0.880272 | + | 0.474469i | \(0.157360\pi\) |
−0.983808 | + | 0.179228i | \(0.942640\pi\) | |||||||
\(692\) | −3.79727 | − | 41.1920i | −0.144350 | − | 1.56588i | ||||
\(693\) | −24.1968 | −0.919161 | ||||||||
\(694\) | 9.44559 | − | 7.54935i | 0.358550 | − | 0.286569i | ||||
\(695\) | −8.95333 | − | 2.39743i | −0.339619 | − | 0.0909397i | ||||
\(696\) | 0.0820845 | − | 0.108537i | 0.00311141 | − | 0.00411407i | ||||
\(697\) | −13.2951 | + | 26.0931i | −0.503587 | + | 0.988345i | ||||
\(698\) | −6.95015 | − | 3.14783i | −0.263067 | − | 0.119147i | ||||
\(699\) | 1.75005 | − | 1.75005i | 0.0661929 | − | 0.0661929i | ||||
\(700\) | −35.0901 | + | 27.6986i | −1.32628 | + | 1.04691i | ||||
\(701\) | −20.6474 | − | 20.6474i | −0.779840 | − | 0.779840i | 0.199964 | − | 0.979803i | \(-0.435918\pi\) |
−0.979803 | + | 0.199964i | \(0.935918\pi\) | |||||||
\(702\) | 11.1835 | − | 4.21105i | 0.422093 | − | 0.158936i | ||||
\(703\) | −5.14391 | − | 2.62095i | −0.194006 | − | 0.0988511i | ||||
\(704\) | 11.3544 | − | 10.5145i | 0.427934 | − | 0.396281i | ||||
\(705\) | 5.36670 | + | 3.48389i | 0.202121 | + | 0.131211i | ||||
\(706\) | −13.8459 | − | 1.54488i | −0.521097 | − | 0.0581423i | ||||
\(707\) | 20.6969i | 0.778389i | ||||||||
\(708\) | −7.80275 | + | 9.38741i | −0.293245 | + | 0.352801i | ||||
\(709\) | 47.6444 | + | 7.54613i | 1.78932 | + | 0.283401i | 0.960939 | − | 0.276759i | \(-0.0892604\pi\) |
0.828384 | + | 0.560160i | \(0.189260\pi\) | |||||||
\(710\) | 38.2213 | − | 9.98657i | 1.43442 | − | 0.374789i | ||||
\(711\) | 27.8000 | + | 20.1979i | 1.04258 | + | 0.757479i | ||||
\(712\) | −2.73161 | − | 5.62544i | −0.102371 | − | 0.210822i | ||||
\(713\) | −3.86089 | + | 24.3767i | −0.144591 | + | 0.912915i | ||||
\(714\) | −7.78597 | + | 2.93174i | −0.291382 | + | 0.109718i | ||||
\(715\) | −13.0960 | + | 5.02961i | −0.489763 | + | 0.188097i | ||||
\(716\) | −1.58542 | − | 6.23491i | −0.0592501 | − | 0.233010i | ||||
\(717\) | 1.26291 | − | 3.88683i | 0.0471641 | − | 0.145156i | ||||
\(718\) | −7.21560 | + | 10.9569i | −0.269284 | + | 0.408910i | ||||
\(719\) | 5.08175 | − | 15.6400i | 0.189517 | − | 0.583274i | −0.810480 | − | 0.585767i | \(-0.800793\pi\) |
0.999997 | + | 0.00249282i | \(0.000793490\pi\) | |||||||
\(720\) | 1.98249 | + | 24.9482i | 0.0738830 | + | 0.929765i | ||||
\(721\) | 20.5509 | + | 63.2492i | 0.765356 | + | 2.35552i | ||||
\(722\) | −25.0682 | − | 6.88919i | −0.932943 | − | 0.256389i | ||||
\(723\) | 10.4041 | + | 7.55904i | 0.386934 | + | 0.281124i | ||||
\(724\) | −20.3614 | − | 8.11641i | −0.756725 | − | 0.301644i | ||||
\(725\) | −0.138734 | − | 0.517068i | −0.00515244 | − | 0.0192034i | ||||
\(726\) | 2.53676 | − | 3.85210i | 0.0941481 | − | 0.142965i | ||||
\(727\) | −10.8511 | + | 1.71865i | −0.402446 | + | 0.0637412i | −0.354377 | − | 0.935103i | \(-0.615307\pi\) |
−0.0480694 | + | 0.998844i | \(0.515307\pi\) | |||||||
\(728\) | −32.7090 | − | 24.7373i | −1.21228 | − | 0.916825i | ||||
\(729\) | −5.16061 | − | 15.8827i | −0.191134 | − | 0.588249i | ||||
\(730\) | 5.17998 | + | 52.4239i | 0.191720 | + | 1.94030i | ||||
\(731\) | −8.11004 | + | 4.13227i | −0.299961 | + | 0.152838i | ||||
\(732\) | −2.88661 | + | 7.24156i | −0.106692 | + | 0.267656i | ||||
\(733\) | 0.176712 | + | 0.0574171i | 0.00652699 | + | 0.00212075i | 0.312279 | − | 0.949991i | \(-0.398908\pi\) |
−0.305752 | + | 0.952111i | \(0.598908\pi\) | |||||||
\(734\) | −26.3717 | − | 24.0525i | −0.973399 | − | 0.887794i | ||||
\(735\) | 12.9759 | + | 1.36163i | 0.478624 | + | 0.0502243i | ||||
\(736\) | 6.90237 | + | 16.9414i | 0.254425 | + | 0.624469i | ||||
\(737\) | 1.77261 | − | 11.1918i | 0.0652948 | − | 0.412255i | ||||
\(738\) | −1.81809 | − | 39.5282i | −0.0669250 | − | 1.45505i | ||||
\(739\) | 1.69540 | + | 10.7043i | 0.0623662 | + | 0.393764i | 0.999050 | + | 0.0435872i | \(0.0138786\pi\) |
−0.936683 | + | 0.350177i | \(0.886121\pi\) | |||||||
\(740\) | −26.3476 | − | 19.6557i | −0.968556 | − | 0.722557i | ||||
\(741\) | 0.179064 | − | 1.13057i | 0.00657808 | − | 0.0415324i | ||||
\(742\) | 1.30158 | − | 11.6653i | 0.0477826 | − | 0.428248i | ||||
\(743\) | 1.35150 | + | 1.35150i | 0.0495816 | + | 0.0495816i | 0.731463 | − | 0.681881i | \(-0.238838\pi\) |
−0.681881 | + | 0.731463i | \(0.738838\pi\) | |||||||
\(744\) | −4.56861 | + | 8.55637i | −0.167493 | + | 0.313692i | ||||
\(745\) | 3.48100 | + | 9.06378i | 0.127534 | + | 0.332071i | ||||
\(746\) | 3.80735 | − | 13.8541i | 0.139397 | − | 0.507233i | ||||
\(747\) | −8.48201 | − | 26.1049i | −0.310340 | − | 0.955130i | ||||
\(748\) | 2.49722 | − | 11.0513i | 0.0913074 | − | 0.404074i | ||||
\(749\) | −4.64416 | + | 4.64416i | −0.169694 | + | 0.169694i | ||||
\(750\) | −5.93565 | − | 3.90459i | −0.216739 | − | 0.142576i | ||||
\(751\) | − | 16.9475i | − | 0.618425i | −0.950993 | − | 0.309212i | \(-0.899935\pi\) | ||
0.950993 | − | 0.309212i | \(-0.100065\pi\) | |||||||
\(752\) | −21.0007 | − | 14.4151i | −0.765815 | − | 0.525665i | ||||
\(753\) | −4.87695 | + | 9.57155i | −0.177726 | + | 0.348807i | ||||
\(754\) | 0.426874 | − | 0.242828i | 0.0155458 | − | 0.00884326i | ||||
\(755\) | 3.68745 | + | 1.64102i | 0.134200 | + | 0.0597228i | ||||
\(756\) | 14.8900 | − | 17.9140i | 0.541545 | − | 0.651528i | ||||
\(757\) | − | 39.3395i | − | 1.42982i | −0.699218 | − | 0.714909i | \(-0.746468\pi\) | ||
0.699218 | − | 0.714909i | \(-0.253532\pi\) | |||||||
\(758\) | 1.47740 | − | 13.2411i | 0.0536617 | − | 0.480939i | ||||
\(759\) | −1.65220 | − | 2.27406i | −0.0599712 | − | 0.0825433i | ||||
\(760\) | 4.49877 | + | 2.10643i | 0.163188 | + | 0.0764081i | ||||
\(761\) | 12.6474 | − | 17.4076i | 0.458467 | − | 0.631026i | −0.515723 | − | 0.856755i | \(-0.672477\pi\) |
0.974190 | + | 0.225730i | \(0.0724766\pi\) | |||||||
\(762\) | −4.53821 | − | 4.13910i | −0.164402 | − | 0.149944i | ||||
\(763\) | 44.1490 | + | 60.7659i | 1.59830 | + | 2.19987i | ||||
\(764\) | −37.0131 | − | 8.36372i | −1.33909 | − | 0.302589i | ||||
\(765\) | 11.5335 | + | 14.2378i | 0.416996 | + | 0.514771i | ||||
\(766\) | 28.3714 | − | 31.1071i | 1.02510 | − | 1.12395i | ||||
\(767\) | −39.2520 | + | 19.9999i | −1.41731 | + | 0.722154i | ||||
\(768\) | 0.384743 | + | 7.17922i | 0.0138832 | + | 0.259058i | ||||
\(769\) | −10.3440 | − | 3.36097i | −0.373014 | − | 0.121200i | 0.116510 | − | 0.993190i | \(-0.462829\pi\) |
−0.489524 | + | 0.871990i | \(0.662829\pi\) | |||||||
\(770\) | −17.3416 | + | 21.1444i | −0.624947 | + | 0.761990i | ||||
\(771\) | 9.44481 | + | 4.81237i | 0.340147 | + | 0.173313i | ||||
\(772\) | 33.2937 | + | 2.17232i | 1.19827 | + | 0.0781836i | ||||
\(773\) | 21.7863 | + | 15.8287i | 0.783598 | + | 0.569317i | 0.906057 | − | 0.423156i | \(-0.139078\pi\) |
−0.122458 | + | 0.992474i | \(0.539078\pi\) | |||||||
\(774\) | 6.76428 | − | 10.2716i | 0.243137 | − | 0.369206i | ||||
\(775\) | 15.5325 | + | 34.8552i | 0.557945 | + | 1.25203i | ||||
\(776\) | 3.38879 | + | 4.85766i | 0.121651 | + | 0.174380i | ||||
\(777\) | 2.30979 | + | 14.5835i | 0.0828634 | + | 0.523179i | ||||
\(778\) | −43.5986 | + | 24.8012i | −1.56309 | + | 0.889164i | ||||
\(779\) | −6.99807 | − | 3.56569i | −0.250732 | − | 0.127754i | ||||
\(780\) | 2.09214 | − | 6.17263i | 0.0749106 | − | 0.221015i | ||||
\(781\) | 21.5312 | − | 10.9707i | 0.770447 | − | 0.392562i | ||||
\(782\) | 11.1858 | + | 7.36631i | 0.400003 | + | 0.263419i | ||||
\(783\) | 0.126644 | + | 0.248553i | 0.00452589 | + | 0.00888255i | ||||
\(784\) | −51.5007 | − | 6.74929i | −1.83931 | − | 0.241046i | ||||
\(785\) | −25.2938 | − | 11.2564i | −0.902773 | − | 0.401759i | ||||
\(786\) | 2.24870 | + | 1.01847i | 0.0802085 | + | 0.0363277i | ||||
\(787\) | 24.8352 | + | 34.1828i | 0.885281 | + | 1.21848i | 0.974930 | + | 0.222511i | \(0.0714253\pi\) |
−0.0896496 | + | 0.995973i | \(0.528575\pi\) | |||||||
\(788\) | −2.83728 | + | 4.77224i | −0.101074 | + | 0.170004i | ||||
\(789\) | −1.02175 | − | 6.45105i | −0.0363751 | − | 0.229664i | ||||
\(790\) | 37.5738 | − | 9.81739i | 1.33681 | − | 0.349287i | ||||
\(791\) | −3.30875 | + | 2.40394i | −0.117645 | + | 0.0854744i | ||||
\(792\) | 4.45047 | + | 14.6479i | 0.158140 | + | 0.520490i | ||||
\(793\) | −19.8938 | + | 19.8938i | −0.706449 | + | 0.706449i | ||||
\(794\) | 16.8232 | − | 13.4459i | 0.597034 | − | 0.477177i | ||||
\(795\) | 1.82460 | − | 0.388151i | 0.0647120 | − | 0.0137663i | ||||
\(796\) | −1.15451 | − | 1.31568i | −0.0409204 | − | 0.0466330i | ||||
\(797\) | 14.1845 | + | 43.6555i | 0.502441 | + | 1.54636i | 0.805030 | + | 0.593234i | \(0.202149\pi\) |
−0.302589 | + | 0.953121i | \(0.597851\pi\) | |||||||
\(798\) | −0.786283 | − | 2.08817i | −0.0278341 | − | 0.0739204i | ||||
\(799\) | −18.6491 | −0.659757 | ||||||||
\(800\) | 23.2218 | + | 16.1477i | 0.821014 | + | 0.570908i | ||||
\(801\) | 6.18651 | 0.218589 | ||||||||
\(802\) | 15.7708 | + | 41.8832i | 0.556885 | + | 1.47895i | ||||
\(803\) | 9.95780 | + | 30.6470i | 0.351403 | + | 1.08151i | ||||
\(804\) | 3.47222 | + | 3.95695i | 0.122456 | + | 0.139551i | ||||
\(805\) | −16.1681 | − | 27.9932i | −0.569851 | − | 0.986629i | ||||
\(806\) | −27.3447 | + | 21.8551i | −0.963176 | + | 0.769815i | ||||
\(807\) | −3.66728 | + | 3.66728i | −0.129095 | + | 0.129095i | ||||
\(808\) | 12.5292 | − | 3.80674i | 0.440775 | − | 0.133921i | ||||
\(809\) | 7.64546 | − | 5.55475i | 0.268800 | − | 0.195295i | −0.445217 | − | 0.895422i | \(-0.646874\pi\) |
0.714018 | + | 0.700128i | \(0.246874\pi\) | |||||||
\(810\) | −21.2743 | − | 8.31887i | −0.747503 | − | 0.292295i | ||||
\(811\) | 1.28589 | + | 8.11877i | 0.0451536 | + | 0.285089i | 0.999925 | − | 0.0122524i | \(-0.00390016\pi\) |
−0.954771 | + | 0.297341i | \(0.903900\pi\) | |||||||
\(812\) | 0.489229 | − | 0.822872i | 0.0171686 | − | 0.0288772i | ||||
\(813\) | −0.688591 | − | 0.947765i | −0.0241499 | − | 0.0332396i | ||||
\(814\) | −18.3166 | − | 8.29588i | −0.641996 | − | 0.290770i | ||||
\(815\) | 8.20579 | − | 1.74563i | 0.287436 | − | 0.0611468i | ||||
\(816\) | 3.20683 | + | 4.17411i | 0.112261 | + | 0.146123i | ||||
\(817\) | −1.10826 | − | 2.17508i | −0.0387731 | − | 0.0760966i | ||||
\(818\) | −13.3979 | − | 8.82305i | −0.468446 | − | 0.308491i | ||||
\(819\) | 36.1482 | − | 18.4184i | 1.26312 | − | 0.643591i | ||||
\(820\) | −35.8447 | − | 26.7407i | −1.25175 | − | 0.933825i | ||||
\(821\) | −27.5587 | − | 14.0419i | −0.961805 | − | 0.490064i | −0.0987159 | − | 0.995116i | \(-0.531474\pi\) |
−0.863089 | + | 0.505051i | \(0.831474\pi\) | |||||||
\(822\) | 9.24072 | − | 5.25660i | 0.322307 | − | 0.183345i | ||||
\(823\) | 3.67727 | + | 23.2174i | 0.128182 | + | 0.809307i | 0.965081 | + | 0.261951i | \(0.0843659\pi\) |
−0.836899 | + | 0.547357i | \(0.815634\pi\) | |||||||
\(824\) | 34.5089 | − | 24.0741i | 1.20217 | − | 0.838659i | ||||
\(825\) | −4.05788 | − | 1.55612i | −0.141277 | − | 0.0541770i | ||||
\(826\) | −47.2302 | + | 71.7194i | −1.64335 | + | 2.49544i | ||||
\(827\) | 34.0138 | + | 24.7125i | 1.18278 | + | 0.859338i | 0.992482 | − | 0.122389i | \(-0.0390556\pi\) |
0.190295 | + | 0.981727i | \(0.439056\pi\) | |||||||
\(828\) | −18.0589 | − | 1.17829i | −0.627591 | − | 0.0409486i | ||||
\(829\) | −7.64344 | − | 3.89453i | −0.265468 | − | 0.135262i | 0.316191 | − | 0.948696i | \(-0.397596\pi\) |
−0.581658 | + | 0.813433i | \(0.697596\pi\) | |||||||
\(830\) | −28.8907 | − | 11.2971i | −1.00281 | − | 0.392128i | ||||
\(831\) | −7.29188 | − | 2.36928i | −0.252953 | − | 0.0821893i | ||||
\(832\) | −8.95898 | + | 24.3507i | −0.310597 | + | 0.844209i | ||||
\(833\) | −33.8833 | + | 17.2644i | −1.17399 | + | 0.598177i | ||||
\(834\) | 1.77504 | − | 1.94620i | 0.0614646 | − | 0.0673913i | ||||
\(835\) | 0.107161 | + | 2.03821i | 0.00370845 | + | 0.0705352i | ||||
\(836\) | 2.96391 | + | 0.669745i | 0.102509 | + | 0.0231636i | ||||
\(837\) | −11.6873 | − | 16.0862i | −0.403974 | − | 0.556022i | ||||
\(838\) | −29.1770 | − | 26.6110i | −1.00790 | − | 0.919263i | ||||
\(839\) | 10.0109 | − | 13.7788i | 0.345613 | − | 0.475696i | −0.600457 | − | 0.799657i | \(-0.705015\pi\) |
0.946070 | + | 0.323961i | \(0.105015\pi\) | |||||||
\(840\) | −2.40457 | − | 12.4751i | −0.0829657 | − | 0.430432i | ||||
\(841\) | −17.0390 | − | 23.4522i | −0.587553 | − | 0.808697i | ||||
\(842\) | 2.18168 | − | 19.5532i | 0.0751857 | − | 0.673847i | ||||
\(843\) | − | 9.64767i | − | 0.332284i | ||||||
\(844\) | −25.5952 | + | 30.7933i | −0.881022 | + | 1.05995i | ||||
\(845\) | −3.71133 | + | 4.12324i | −0.127674 | + | 0.141844i | ||||
\(846\) | 21.9029 | − | 12.4595i | 0.753039 | − | 0.428367i | ||||
\(847\) | 14.7309 | − | 28.9110i | 0.506160 | − | 0.993394i | ||||
\(848\) | −7.30118 | + | 1.35765i | −0.250723 | + | 0.0466219i | ||||
\(849\) | − | 9.90352i | − | 0.339888i | ||||||
\(850\) | 20.7077 | + | 0.125537i | 0.710267 | + | 0.00430590i | ||||
\(851\) | 16.8079 | − | 16.8079i | 0.576167 | − | 0.576167i | ||||
\(852\) | −2.47449 | + | 10.9507i | −0.0847748 | + | 0.375165i | ||||
\(853\) | 4.55088 | + | 14.0062i | 0.155819 | + | 0.479562i | 0.998243 | − | 0.0592534i | \(-0.0188720\pi\) |
−0.842424 | + | 0.538816i | \(0.818872\pi\) | |||||||
\(854\) | −14.5328 | + | 52.8815i | −0.497301 | + | 1.80957i | ||||
\(855\) | −3.81854 | + | 3.09325i | −0.130591 | + | 0.105787i | ||||
\(856\) | 3.66560 | + | 1.95722i | 0.125288 | + | 0.0668963i | ||||
\(857\) | −22.6714 | − | 22.6714i | −0.774442 | − | 0.774442i | 0.204438 | − | 0.978880i | \(-0.434463\pi\) |
−0.978880 | + | 0.204438i | \(0.934463\pi\) | |||||||
\(858\) | 0.442092 | − | 3.96222i | 0.0150928 | − | 0.135268i | ||||
\(859\) | 1.73768 | − | 10.9713i | 0.0592890 | − | 0.374336i | −0.940147 | − | 0.340768i | \(-0.889313\pi\) |
0.999436 | − | 0.0335679i | \(-0.0106870\pi\) | |||||||
\(860\) | −4.12796 | − | 13.2725i | −0.140762 | − | 0.452589i | ||||
\(861\) | 3.14237 | + | 19.8402i | 0.107092 | + | 0.676151i | ||||
\(862\) | 0.0856151 | + | 1.86141i | 0.00291606 | + | 0.0633998i | ||||
\(863\) | −8.09642 | + | 51.1188i | −0.275605 | + | 1.74010i | 0.329677 | + | 0.944094i | \(0.393060\pi\) |
−0.605283 | + | 0.796010i | \(0.706940\pi\) | |||||||
\(864\) | −13.5832 | − | 5.71899i | −0.462110 | − | 0.194564i | ||||
\(865\) | 40.0492 | − | 23.1314i | 1.36171 | − | 0.786490i | ||||
\(866\) | −5.63388 | − | 5.13841i | −0.191447 | − | 0.174610i | ||||
\(867\) | −3.59982 | − | 1.16965i | −0.122256 | − | 0.0397235i | ||||
\(868\) | −25.2669 | + | 63.3862i | −0.857613 | + | 2.15147i | ||||
\(869\) | 21.1664 | − | 10.7848i | 0.718022 | − | 0.365851i | ||||
\(870\) | 0.148619 | + | 0.0325589i | 0.00503864 | + | 0.00110385i | ||||
\(871\) | 5.87096 | + | 18.0690i | 0.198930 | + | 0.612243i | ||||
\(872\) | 28.6653 | − | 37.9027i | 0.970728 | − | 1.28355i | ||||
\(873\) | −5.78723 | + | 0.916607i | −0.195868 | + | 0.0310225i | ||||
\(874\) | −1.97562 | + | 2.99999i | −0.0668262 | + | 0.101476i | ||||
\(875\) | −44.5453 | − | 22.6688i | −1.50591 | − | 0.766344i | ||||
\(876\) | −13.9068 | − | 5.54349i | −0.469867 | − | 0.187297i | ||||
\(877\) | −29.5155 | − | 21.4443i | −0.996669 | − | 0.724122i | −0.0352975 | − | 0.999377i | \(-0.511238\pi\) |
−0.961371 | + | 0.275255i | \(0.911238\pi\) | |||||||
\(878\) | −19.4025 | − | 5.33214i | −0.654801 | − | 0.179951i | ||||
\(879\) | 0.241050 | + | 0.741875i | 0.00813041 | + | 0.0250228i | ||||
\(880\) | 15.9896 | + | 6.60893i | 0.539010 | + | 0.222787i | ||||
\(881\) | 3.43516 | − | 10.5723i | 0.115733 | − | 0.356191i | −0.876366 | − | 0.481646i | \(-0.840039\pi\) |
0.992099 | + | 0.125455i | \(0.0400391\pi\) | |||||||
\(882\) | 28.2608 | − | 42.9143i | 0.951592 | − | 1.44500i | ||||
\(883\) | −12.7851 | + | 39.3486i | −0.430254 | + | 1.32418i | 0.467619 | + | 0.883930i | \(0.345112\pi\) |
−0.897873 | + | 0.440255i | \(0.854888\pi\) | |||||||
\(884\) | 4.68148 | + | 18.4106i | 0.157455 | + | 0.619215i | ||||
\(885\) | −13.1832 | − | 3.53006i | −0.443148 | − | 0.118662i | ||||
\(886\) | −5.08734 | + | 1.91559i | −0.170912 | + | 0.0643556i | ||||
\(887\) | 0.564486 | − | 3.56402i | 0.0189536 | − | 0.119668i | −0.976398 | − | 0.215981i | \(-0.930705\pi\) |
0.995351 | + | 0.0963131i | \(0.0307050\pi\) | |||||||
\(888\) | 8.40346 | − | 4.08057i | 0.282002 | − | 0.136935i | ||||
\(889\) | −34.9580 | − | 25.3985i | −1.17245 | − | 0.851837i | ||||
\(890\) | 4.43380 | − | 5.40607i | 0.148621 | − | 0.181212i | ||||
\(891\) | −13.8011 | − | 2.18588i | −0.462354 | − | 0.0732297i | ||||
\(892\) | −12.2183 | + | 14.6997i | −0.409099 | + | 0.492184i | ||||
\(893\) | − | 5.00161i | − | 0.167373i | ||||||
\(894\) | −2.74226 | − | 0.305973i | −0.0917150 | − | 0.0102333i | ||||
\(895\) | 5.58900 | − | 4.52743i | 0.186820 | − | 0.151335i | ||||
\(896\) | 8.29042 | + | 49.8937i | 0.276964 | + | 1.66683i | ||||
\(897\) | 4.19926 | + | 2.13963i | 0.140209 | + | 0.0714402i | ||||
\(898\) | −8.22974 | + | 3.09884i | −0.274630 | + | 0.103410i | ||||
\(899\) | −0.577816 | − | 0.577816i | −0.0192712 | − | 0.0192712i | ||||
\(900\) | −24.4046 | + | 13.6874i | −0.813486 | + | 0.456248i | ||||
\(901\) | −3.84462 | + | 3.84462i | −0.128083 | + | 0.128083i | ||||
\(902\) | −24.9189 | − | 11.2862i | −0.829709 | − | 0.375789i | ||||
\(903\) | −2.83446 | + | 5.56294i | −0.0943249 | + | 0.185123i | ||||
\(904\) | 2.06383 | + | 1.56084i | 0.0686420 | + | 0.0519129i | ||||
\(905\) | −1.28668 | − | 24.4729i | −0.0427708 | − | 0.813507i | ||||
\(906\) | −0.896008 | + | 0.716131i | −0.0297679 | + | 0.0237918i | ||||
\(907\) | 3.68733 | 0.122436 | 0.0612179 | − | 0.998124i | \(-0.480502\pi\) | ||||
0.0612179 | + | 0.998124i | \(0.480502\pi\) | |||||||
\(908\) | −2.62034 | − | 28.4249i | −0.0869590 | − | 0.943314i | ||||
\(909\) | −2.02649 | + | 12.7948i | −0.0672145 | + | 0.424376i | ||||
\(910\) | 9.81206 | − | 44.7883i | 0.325267 | − | 1.48472i | ||||
\(911\) | −20.5954 | + | 28.3471i | −0.682355 | + | 0.939181i | −0.999959 | − | 0.00904247i | \(-0.997122\pi\) |
0.317604 | + | 0.948223i | \(0.397122\pi\) | |||||||
\(912\) | −1.11948 | + | 0.860059i | −0.0370698 | + | 0.0284794i | ||||
\(913\) | −18.7420 | − | 2.96844i | −0.620270 | − | 0.0982412i | ||||
\(914\) | 6.89171 | − | 15.2163i | 0.227958 | − | 0.503311i | ||||
\(915\) | −8.70382 | + | 0.457610i | −0.287739 | + | 0.0151281i | ||||
\(916\) | 9.87766 | + | 38.8453i | 0.326367 | + | 1.28349i | ||||
\(917\) | 16.5164 | + | 5.36650i | 0.545420 | + | 0.177218i | ||||
\(918\) | −10.5687 | + | 2.17587i | −0.348818 | + | 0.0718143i | ||||
\(919\) | −45.8466 | − | 14.8965i | −1.51234 | − | 0.491389i | −0.568752 | − | 0.822509i | \(-0.692574\pi\) |
−0.943589 | + | 0.331119i | \(0.892574\pi\) | |||||||
\(920\) | −13.9723 | + | 14.9363i | −0.460652 | + | 0.492435i | ||||
\(921\) | −13.9137 | + | 4.52084i | −0.458473 | + | 0.148967i | ||||
\(922\) | 25.2230 | − | 14.3482i | 0.830677 | − | 0.472532i | ||||
\(923\) | −23.8151 | + | 32.7787i | −0.783885 | + | 1.07892i | ||||
\(924\) | −3.06987 | − | 7.13952i | −0.100991 | − | 0.234873i | ||||
\(925\) | 7.62902 | − | 35.9510i | 0.250841 | − | 1.18206i | ||||
\(926\) | 48.6108 | − | 10.0080i | 1.59745 | − | 0.328882i | ||||
\(927\) | 6.51160 | + | 41.1126i | 0.213869 | + | 1.35032i | ||||
\(928\) | −0.588120 | − | 0.144813i | −0.0193060 | − | 0.00475370i | ||||
\(929\) | 21.1427 | − | 6.86968i | 0.693669 | − | 0.225387i | 0.0590992 | − | 0.998252i | \(-0.481177\pi\) |
0.634570 | + | 0.772865i | \(0.281177\pi\) | |||||||
\(930\) | −10.8260 | − | 0.635017i | −0.354997 | − | 0.0208230i | ||||
\(931\) | −4.63026 | − | 9.08739i | −0.151751 | − | 0.297827i | ||||
\(932\) | −10.2328 | − | 4.07896i | −0.335185 | − | 0.133611i | ||||
\(933\) | −1.66341 | + | 5.11945i | −0.0544576 | + | 0.167603i | ||||
\(934\) | 1.42487 | + | 30.9789i | 0.0466231 | + | 1.01366i | ||||
\(935\) | 12.3900 | − | 2.63574i | 0.405195 | − | 0.0861978i | ||||
\(936\) | −17.7985 | − | 18.4951i | −0.581762 | − | 0.604532i | ||||
\(937\) | 23.4611 | + | 3.71587i | 0.766441 | + | 0.121392i | 0.527400 | − | 0.849617i | \(-0.323167\pi\) |
0.239041 | + | 0.971010i | \(0.423167\pi\) | |||||||
\(938\) | 27.3630 | + | 24.9566i | 0.893433 | + | 0.814861i | ||||
\(939\) | −0.347343 | + | 0.0550137i | −0.0113351 | + | 0.00179530i | ||||
\(940\) | 4.80985 | − | 28.0694i | 0.156880 | − | 0.915524i | ||||
\(941\) | 45.2515 | + | 7.16714i | 1.47516 | + | 0.233642i | 0.841620 | − | 0.540070i | \(-0.181602\pi\) |
0.633538 | + | 0.773712i | \(0.281602\pi\) | |||||||
\(942\) | 6.14609 | − | 4.91224i | 0.200250 | − | 0.160049i | ||||
\(943\) | 22.8664 | − | 22.8664i | 0.744633 | − | 0.744633i | ||||
\(944\) | 52.1033 | + | 15.4003i | 1.69582 | + | 0.501236i | ||||
\(945\) | 25.1576 | + | 6.73643i | 0.818375 | + | 0.219136i | ||||
\(946\) | −4.20404 | − | 7.39040i | −0.136685 | − | 0.240282i | ||||
\(947\) | −28.0789 | + | 9.12339i | −0.912442 | + | 0.296470i | −0.727363 | − | 0.686253i | \(-0.759254\pi\) |
−0.185079 | + | 0.982724i | \(0.559254\pi\) | |||||||
\(948\) | −2.43257 | + | 10.7652i | −0.0790063 | + | 0.349637i | ||||
\(949\) | −38.2044 | − | 38.2044i | −1.24017 | − | 1.24017i | ||||
\(950\) | −0.0336687 | + | 5.55372i | −0.00109236 | + | 0.180187i | ||||
\(951\) | 2.20016 | 0.0713451 | ||||||||
\(952\) | 25.6769 | + | 26.6819i | 0.832192 | + | 0.864765i | ||||
\(953\) | −43.9605 | − | 22.3990i | −1.42402 | − | 0.725574i | −0.439076 | − | 0.898450i | \(-0.644694\pi\) |
−0.984944 | + | 0.172876i | \(0.944694\pi\) | |||||||
\(954\) | 1.94682 | − | 7.08403i | 0.0630306 | − | 0.229354i | ||||
\(955\) | −8.82765 | − | 41.4966i | −0.285656 | − | 1.34280i | ||||
\(956\) | −18.1135 | + | 1.66978i | −0.585831 | + | 0.0540046i | ||||
\(957\) | 0.0930668 | 0.00300842 | ||||||||
\(958\) | −0.971597 | + | 0.776545i | −0.0313909 | + | 0.0250890i | ||||
\(959\) | 60.5063 | − | 43.9604i | 1.95385 | − | 1.41955i | ||||
\(960\) | −7.10970 | + | 3.75016i | −0.229465 | + | 0.121036i | ||||
\(961\) | 22.0422 | + | 16.0146i | 0.711039 | + | 0.516600i | ||||
\(962\) | 33.6783 | − | 1.54903i | 1.08583 | − | 0.0499426i | ||||
\(963\) | −3.32573 | + | 2.41628i | −0.107170 | + | 0.0778636i | ||||
\(964\) | 12.6162 | − | 55.8321i | 0.406340 | − | 1.79823i | ||||
\(965\) | 13.3739 | + | 34.8228i | 0.430522 | + | 1.12099i | ||||
\(966\) | 9.17729 | − | 0.422108i | 0.295275 | − | 0.0135811i | ||||
\(967\) | −9.37499 | − | 18.3995i | −0.301479 | − | 0.591687i | 0.689718 | − | 0.724078i | \(-0.257734\pi\) |
−0.991198 | + | 0.132391i | \(0.957734\pi\) | |||||||
\(968\) | −20.2111 | − | 3.60002i | −0.649609 | − | 0.115709i | ||||
\(969\) | −0.319392 | + | 0.982987i | −0.0102603 | + | 0.0315781i | ||||
\(970\) | −3.34666 | + | 5.71408i | −0.107455 | + | 0.183468i | ||||
\(971\) | 20.3605 | − | 39.9598i | 0.653401 | − | 1.28237i | −0.291986 | − | 0.956423i | \(-0.594316\pi\) |
0.945387 | − | 0.325949i | \(-0.105684\pi\) | |||||||
\(972\) | 16.6293 | − | 14.5922i | 0.533384 | − | 0.468044i | ||||
\(973\) | 10.8921 | − | 14.9916i | 0.349183 | − | 0.480610i | ||||
\(974\) | −53.3757 | + | 10.9889i | −1.71027 | + | 0.352108i | ||||
\(975\) | 7.24666 | − | 0.764111i | 0.232079 | − | 0.0244711i | ||||
\(976\) | 34.6855 | − | 0.928753i | 1.11026 | − | 0.0297287i | ||||
\(977\) | 4.26343 | − | 0.675261i | 0.136399 | − | 0.0216035i | −0.0878615 | − | 0.996133i | \(-0.528003\pi\) |
0.224261 | + | 0.974529i | \(0.428003\pi\) | |||||||
\(978\) | −0.631795 | + | 2.29896i | −0.0202026 | + | 0.0735127i | ||||
\(979\) | 1.94166 | − | 3.81072i | 0.0620556 | − | 0.121791i | ||||
\(980\) | −17.2464 | − | 55.4519i | −0.550916 | − | 1.77134i | ||||
\(981\) | 21.3430 | + | 41.8880i | 0.681430 | + | 1.33738i | ||||
\(982\) | −2.66084 | − | 12.9243i | −0.0849110 | − | 0.412431i | ||||
\(983\) | −13.9393 | + | 7.10244i | −0.444595 | + | 0.226533i | −0.661932 | − | 0.749564i | \(-0.730263\pi\) |
0.217336 | + | 0.976097i | \(0.430263\pi\) | |||||||
\(984\) | 11.4325 | − | 5.55143i | 0.364456 | − | 0.176973i | ||||
\(985\) | −6.17339 | − | 0.647804i | −0.196701 | − | 0.0206407i | ||||
\(986\) | −0.415002 | + | 0.156266i | −0.0132163 | + | 0.00497651i | ||||
\(987\) | −10.3489 | + | 7.51895i | −0.329410 | + | 0.239331i | ||||
\(988\) | −4.93765 | + | 1.25555i | −0.157088 | + | 0.0399445i | ||||
\(989\) | 9.92730 | − | 1.57233i | 0.315670 | − | 0.0499972i | ||||
\(990\) | −12.7908 | + | 11.3734i | −0.406518 | + | 0.361470i | ||||
\(991\) | −8.01087 | − | 11.0260i | −0.254474 | − | 0.350253i | 0.662598 | − | 0.748975i | \(-0.269454\pi\) |
−0.917072 | + | 0.398722i | \(0.869454\pi\) | |||||||
\(992\) | 43.0190 | + | 3.63716i | 1.36585 | + | 0.115480i | ||||
\(993\) | −9.68785 | − | 9.68785i | −0.307435 | − | 0.307435i | ||||
\(994\) | −8.75796 | + | 78.4926i | −0.277786 | + | 2.48964i | ||||
\(995\) | 0.795686 | − | 1.78795i | 0.0252249 | − | 0.0566817i | ||||
\(996\) | 6.62640 | − | 5.81466i | 0.209966 | − | 0.184245i | ||||
\(997\) | −53.2255 | + | 17.2940i | −1.68567 | + | 0.547707i | −0.985998 | − | 0.166759i | \(-0.946670\pi\) |
−0.699670 | + | 0.714466i | \(0.746670\pi\) | |||||||
\(998\) | 10.2636 | − | 22.6611i | 0.324888 | − | 0.717324i | ||||
\(999\) | 19.1501i | 0.605881i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 400.2.bd.a.163.36 | yes | 464 | |
16.11 | odd | 4 | 400.2.bm.a.363.31 | yes | 464 | ||
25.2 | odd | 20 | 400.2.bm.a.227.31 | yes | 464 | ||
400.27 | even | 20 | inner | 400.2.bd.a.27.36 | ✓ | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.bd.a.27.36 | ✓ | 464 | 400.27 | even | 20 | inner | |
400.2.bd.a.163.36 | yes | 464 | 1.1 | even | 1 | trivial | |
400.2.bm.a.227.31 | yes | 464 | 25.2 | odd | 20 | ||
400.2.bm.a.363.31 | yes | 464 | 16.11 | odd | 4 |