Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [640,2,Mod(21,640)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(640, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 13, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("640.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 640 = 2^{7} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 640.bm (of order \(32\), degree \(16\), 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: | \(5.11042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 341.58 | ||
Character | \(\chi\) | \(=\) | 640.341 |
Dual form | 640.2.bm.a.381.58 |
$q$-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 \(\left(\mathbb{Z}/640\mathbb{Z}\right)^\times\).
\(n\) | \(257\) | \(261\) | \(511\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{29}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.33795 | − | 0.458140i | 0.946073 | − | 0.323954i | ||||
\(3\) | −1.59927 | + | 1.94872i | −0.923340 | + | 1.12509i | 0.0685060 | + | 0.997651i | \(0.478177\pi\) |
−0.991846 | + | 0.127442i | \(0.959323\pi\) | |||||||
\(4\) | 1.58021 | − | 1.22594i | 0.790107 | − | 0.612968i | ||||
\(5\) | −0.956940 | + | 0.290285i | −0.427957 | + | 0.129819i | ||||
\(6\) | −1.24696 | + | 3.33998i | −0.509068 | + | 1.36354i | ||||
\(7\) | −4.16826 | − | 0.829118i | −1.57545 | − | 0.313377i | −0.671499 | − | 0.741006i | \(-0.734349\pi\) |
−0.903955 | + | 0.427628i | \(0.859349\pi\) | |||||||
\(8\) | 1.55260 | − | 2.36420i | 0.548925 | − | 0.835871i | ||||
\(9\) | −0.654562 | − | 3.29070i | −0.218187 | − | 1.09690i | ||||
\(10\) | −1.14735 | + | 0.826799i | −0.362823 | + | 0.261457i | ||||
\(11\) | −1.45996 | − | 0.143794i | −0.440195 | − | 0.0433554i | −0.124507 | − | 0.992219i | \(-0.539735\pi\) |
−0.315687 | + | 0.948863i | \(0.602235\pi\) | |||||||
\(12\) | −0.138187 | + | 5.04000i | −0.0398912 | + | 1.45492i | ||||
\(13\) | 1.11823 | − | 3.68632i | 0.310142 | − | 1.02240i | −0.653884 | − | 0.756595i | \(-0.726862\pi\) |
0.964026 | − | 0.265807i | \(-0.0856385\pi\) | |||||||
\(14\) | −5.95677 | + | 0.800330i | −1.59201 | + | 0.213897i | ||||
\(15\) | 0.964725 | − | 2.32905i | 0.249091 | − | 0.601358i | ||||
\(16\) | 0.994157 | − | 3.87449i | 0.248539 | − | 0.968622i | ||||
\(17\) | −1.82175 | − | 4.39809i | −0.441839 | − | 1.06669i | −0.975303 | − | 0.220871i | \(-0.929110\pi\) |
0.533464 | − | 0.845823i | \(-0.320890\pi\) | |||||||
\(18\) | −2.38337 | − | 4.10291i | −0.561767 | − | 0.967066i | ||||
\(19\) | −3.89550 | + | 2.08219i | −0.893690 | + | 0.477687i | −0.853254 | − | 0.521495i | \(-0.825375\pi\) |
−0.0404357 | + | 0.999182i | \(0.512875\pi\) | |||||||
\(20\) | −1.15630 | + | 1.63186i | −0.258557 | + | 0.364895i | ||||
\(21\) | 8.28190 | − | 6.79678i | 1.80726 | − | 1.48318i | ||||
\(22\) | −2.01923 | + | 0.476478i | −0.430501 | + | 0.101586i | ||||
\(23\) | 2.65039 | − | 3.96659i | 0.552645 | − | 0.827091i | −0.445011 | − | 0.895525i | \(-0.646800\pi\) |
0.997656 | + | 0.0684339i | \(0.0218002\pi\) | |||||||
\(24\) | 2.12414 | + | 6.80657i | 0.433588 | + | 1.38939i | ||||
\(25\) | 0.831470 | − | 0.555570i | 0.166294 | − | 0.111114i | ||||
\(26\) | −0.192714 | − | 5.44442i | −0.0377943 | − | 1.06774i | ||||
\(27\) | 0.789647 | + | 0.422075i | 0.151968 | + | 0.0812284i | ||||
\(28\) | −7.60319 | + | 3.79984i | −1.43687 | + | 0.718102i | ||||
\(29\) | 0.799412 | + | 8.11657i | 0.148447 | + | 1.50721i | 0.724203 | + | 0.689587i | \(0.242208\pi\) |
−0.575756 | + | 0.817622i | \(0.695292\pi\) | |||||||
\(30\) | 0.223720 | − | 3.55813i | 0.0408455 | − | 0.649623i | ||||
\(31\) | 0.0360954 | + | 0.0360954i | 0.00648293 | + | 0.00648293i | 0.710341 | − | 0.703858i | \(-0.248541\pi\) |
−0.703858 | + | 0.710341i | \(0.748541\pi\) | |||||||
\(32\) | −0.444927 | − | 5.63933i | −0.0786528 | − | 0.996902i | ||||
\(33\) | 2.61509 | − | 2.61509i | 0.455228 | − | 0.455228i | ||||
\(34\) | −4.45235 | − | 5.04980i | −0.763571 | − | 0.866034i | ||||
\(35\) | 4.22945 | − | 0.416565i | 0.714908 | − | 0.0704123i | ||||
\(36\) | −5.06854 | − | 4.39757i | −0.844757 | − | 0.732928i | ||||
\(37\) | −1.14645 | + | 2.14485i | −0.188474 | + | 0.352611i | −0.958356 | − | 0.285576i | \(-0.907815\pi\) |
0.769882 | + | 0.638187i | \(0.220315\pi\) | |||||||
\(38\) | −4.25805 | + | 4.57055i | −0.690747 | + | 0.741442i | ||||
\(39\) | 5.39525 | + | 8.07456i | 0.863931 | + | 1.29296i | ||||
\(40\) | −0.799450 | + | 2.71309i | −0.126404 | + | 0.428978i | ||||
\(41\) | −8.65970 | − | 5.78622i | −1.35242 | − | 0.903656i | −0.352929 | − | 0.935650i | \(-0.614814\pi\) |
−0.999488 | + | 0.0319936i | \(0.989814\pi\) | |||||||
\(42\) | 7.96688 | − | 12.8880i | 1.22932 | − | 1.98866i | ||||
\(43\) | −1.39724 | − | 1.70254i | −0.213077 | − | 0.259635i | 0.655493 | − | 0.755201i | \(-0.272461\pi\) |
−0.868570 | + | 0.495566i | \(0.834961\pi\) | |||||||
\(44\) | −2.48333 | + | 1.56259i | −0.374376 | + | 0.235570i | ||||
\(45\) | 1.58162 | + | 2.95900i | 0.235774 | + | 0.441101i | ||||
\(46\) | 1.72883 | − | 6.52135i | 0.254902 | − | 0.961520i | ||||
\(47\) | −7.96027 | + | 3.29725i | −1.16112 | + | 0.480954i | −0.878249 | − | 0.478203i | \(-0.841288\pi\) |
−0.282875 | + | 0.959157i | \(0.591288\pi\) | |||||||
\(48\) | 5.96036 | + | 8.13369i | 0.860303 | + | 1.17400i | ||||
\(49\) | 10.2198 | + | 4.23317i | 1.45997 | + | 0.604739i | ||||
\(50\) | 0.857935 | − | 1.12425i | 0.121330 | − | 0.158994i | ||||
\(51\) | 11.4841 | + | 3.48367i | 1.60810 | + | 0.487811i | ||||
\(52\) | −2.75215 | − | 7.19607i | −0.381655 | − | 0.997915i | ||||
\(53\) | 0.737747 | − | 7.49047i | 0.101337 | − | 1.02890i | −0.801233 | − | 0.598353i | \(-0.795822\pi\) |
0.902570 | − | 0.430543i | \(-0.141678\pi\) | |||||||
\(54\) | 1.24988 | + | 0.202946i | 0.170087 | + | 0.0276174i | ||||
\(55\) | 1.43884 | − | 0.286202i | 0.194013 | − | 0.0385915i | ||||
\(56\) | −8.43182 | + | 8.56732i | −1.12675 | + | 1.14486i | ||||
\(57\) | 2.17237 | − | 10.9212i | 0.287737 | − | 1.44655i | ||||
\(58\) | 4.78810 | + | 10.4933i | 0.628708 | + | 1.37784i | ||||
\(59\) | 0.578284 | + | 1.90635i | 0.0752862 | + | 0.248185i | 0.986503 | − | 0.163741i | \(-0.0523561\pi\) |
−0.911217 | + | 0.411926i | \(0.864856\pi\) | |||||||
\(60\) | −1.33080 | − | 4.86309i | −0.171805 | − | 0.627823i | ||||
\(61\) | 6.98045 | + | 5.72871i | 0.893755 | + | 0.733486i | 0.964521 | − | 0.264007i | \(-0.0850443\pi\) |
−0.0707657 | + | 0.997493i | \(0.522544\pi\) | |||||||
\(62\) | 0.0648306 | + | 0.0317571i | 0.00823350 | + | 0.00403315i | ||||
\(63\) | 14.2592i | 1.79649i | ||||||||
\(64\) | −3.17889 | − | 7.34130i | −0.397362 | − | 0.917662i | ||||
\(65\) | 3.85220i | 0.477806i | ||||||||
\(66\) | 2.30078 | − | 4.69693i | 0.283206 | − | 0.578152i | ||||
\(67\) | −6.36892 | − | 5.22684i | −0.778087 | − | 0.638560i | 0.159149 | − | 0.987255i | \(-0.449125\pi\) |
−0.937236 | + | 0.348695i | \(0.886625\pi\) | |||||||
\(68\) | −8.27053 | − | 4.71658i | −1.00295 | − | 0.571969i | ||||
\(69\) | 3.49107 | + | 11.5085i | 0.420276 | + | 1.38546i | ||||
\(70\) | 5.46795 | − | 2.49503i | 0.653545 | − | 0.298213i | ||||
\(71\) | −2.04314 | + | 10.2716i | −0.242476 | + | 1.21901i | 0.647164 | + | 0.762350i | \(0.275955\pi\) |
−0.889641 | + | 0.456661i | \(0.849045\pi\) | |||||||
\(72\) | −8.79616 | − | 3.56162i | −1.03664 | − | 0.419741i | ||||
\(73\) | −11.4991 | + | 2.28731i | −1.34587 | + | 0.267710i | −0.814860 | − | 0.579657i | \(-0.803186\pi\) |
−0.531008 | + | 0.847367i | \(0.678186\pi\) | |||||||
\(74\) | −0.551244 | + | 3.39493i | −0.0640808 | + | 0.394653i | ||||
\(75\) | −0.247096 | + | 2.50881i | −0.0285322 | + | 0.289692i | ||||
\(76\) | −3.60310 | + | 8.06595i | −0.413304 | + | 0.925228i | ||||
\(77\) | 5.96627 | + | 1.80985i | 0.679919 | + | 0.206251i | ||||
\(78\) | 10.9178 | + | 8.33156i | 1.23620 | + | 0.943364i | ||||
\(79\) | −1.58592 | − | 0.656910i | −0.178430 | − | 0.0739081i | 0.291680 | − | 0.956516i | \(-0.405786\pi\) |
−0.470110 | + | 0.882608i | \(0.655786\pi\) | |||||||
\(80\) | 0.173355 | + | 3.99624i | 0.0193817 | + | 0.446793i | ||||
\(81\) | 7.21396 | − | 2.98812i | 0.801551 | − | 0.332013i | ||||
\(82\) | −14.2371 | − | 3.77432i | −1.57223 | − | 0.416803i | ||||
\(83\) | 3.59592 | + | 6.72750i | 0.394704 | + | 0.738439i | 0.998265 | − | 0.0588775i | \(-0.0187521\pi\) |
−0.603561 | + | 0.797317i | \(0.706252\pi\) | |||||||
\(84\) | 4.75475 | − | 20.8934i | 0.518786 | − | 2.27966i | ||||
\(85\) | 3.02000 | + | 3.67988i | 0.327565 | + | 0.399139i | ||||
\(86\) | −2.64944 | − | 1.63778i | −0.285696 | − | 0.176606i | ||||
\(87\) | −17.0954 | − | 11.4228i | −1.83282 | − | 1.22465i | ||||
\(88\) | −2.60668 | + | 3.22839i | −0.277873 | + | 0.344147i | ||||
\(89\) | −7.22382 | − | 10.8112i | −0.765724 | − | 1.14599i | −0.985374 | − | 0.170408i | \(-0.945491\pi\) |
0.219650 | − | 0.975579i | \(-0.429509\pi\) | |||||||
\(90\) | 3.47176 | + | 3.23439i | 0.365956 | + | 0.340934i | ||||
\(91\) | −7.71749 | + | 14.4384i | −0.809012 | + | 1.51356i | ||||
\(92\) | −0.674603 | − | 9.51728i | −0.0703322 | − | 0.992245i | ||||
\(93\) | −0.128066 | + | 0.0126134i | −0.0132798 | + | 0.00130795i | ||||
\(94\) | −9.13983 | + | 8.05847i | −0.942701 | + | 0.831168i | ||||
\(95\) | 3.12334 | − | 3.12334i | 0.320448 | − | 0.320448i | ||||
\(96\) | 11.7010 | + | 8.15178i | 1.19423 | + | 0.831988i | ||||
\(97\) | 4.90543 | + | 4.90543i | 0.498070 | + | 0.498070i | 0.910837 | − | 0.412766i | \(-0.135437\pi\) |
−0.412766 | + | 0.910837i | \(0.635437\pi\) | |||||||
\(98\) | 15.6129 | + | 0.981674i | 1.57714 | + | 0.0991640i | ||||
\(99\) | 0.482452 | + | 4.89842i | 0.0484883 | + | 0.492310i | ||||
\(100\) | 0.632806 | − | 1.89725i | 0.0632806 | − | 0.189725i | ||||
\(101\) | 4.99342 | + | 2.66904i | 0.496863 | + | 0.265579i | 0.700739 | − | 0.713418i | \(-0.252854\pi\) |
−0.203876 | + | 0.978997i | \(0.565354\pi\) | |||||||
\(102\) | 16.9612 | − | 0.600366i | 1.67940 | − | 0.0594451i | ||||
\(103\) | 7.63370 | − | 5.10068i | 0.752171 | − | 0.502585i | −0.119405 | − | 0.992846i | \(-0.538099\pi\) |
0.871576 | + | 0.490261i | \(0.163099\pi\) | |||||||
\(104\) | −6.97905 | − | 8.36710i | −0.684352 | − | 0.820462i | ||||
\(105\) | −5.95228 | + | 8.90822i | −0.580883 | + | 0.869353i | ||||
\(106\) | −2.44462 | − | 10.3599i | −0.237443 | − | 1.00624i | ||||
\(107\) | 11.8613 | − | 9.73431i | 1.14667 | − | 0.941052i | 0.147826 | − | 0.989013i | \(-0.452773\pi\) |
0.998849 | + | 0.0479618i | \(0.0152726\pi\) | |||||||
\(108\) | 1.76525 | − | 0.301088i | 0.169861 | − | 0.0289722i | ||||
\(109\) | 13.5747 | − | 7.25580i | 1.30022 | − | 0.694980i | 0.331572 | − | 0.943430i | \(-0.392421\pi\) |
0.968645 | + | 0.248450i | \(0.0799212\pi\) | |||||||
\(110\) | 1.79397 | − | 1.04211i | 0.171048 | − | 0.0993616i | ||||
\(111\) | −2.34623 | − | 5.66430i | −0.222694 | − | 0.537631i | ||||
\(112\) | −7.35631 | + | 15.3256i | −0.695106 | + | 1.44813i | ||||
\(113\) | −7.02015 | + | 16.9481i | −0.660400 | + | 1.59435i | 0.136778 | + | 0.990602i | \(0.456325\pi\) |
−0.797178 | + | 0.603745i | \(0.793675\pi\) | |||||||
\(114\) | −2.09694 | − | 15.6073i | −0.196396 | − | 1.46176i | ||||
\(115\) | −1.38483 | + | 4.56516i | −0.129136 | + | 0.425703i | ||||
\(116\) | 11.2136 | + | 11.8459i | 1.04116 | + | 1.09986i | ||||
\(117\) | −12.8626 | − | 1.26685i | −1.18914 | − | 0.117120i | ||||
\(118\) | 1.64709 | + | 2.28566i | 0.151627 | + | 0.210412i | ||||
\(119\) | 3.94698 | + | 19.8428i | 0.361819 | + | 1.81899i | ||||
\(120\) | −4.00852 | − | 5.89688i | −0.365926 | − | 0.538309i | ||||
\(121\) | −8.67783 | − | 1.72613i | −0.788894 | − | 0.156921i | ||||
\(122\) | 11.9640 | + | 4.46669i | 1.08317 | + | 0.404395i | ||||
\(123\) | 25.1249 | − | 7.62156i | 2.26544 | − | 0.687213i | ||||
\(124\) | 0.101289 | + | 0.0127878i | 0.00909604 | + | 0.00114838i | ||||
\(125\) | −0.634393 | + | 0.773010i | −0.0567419 | + | 0.0691402i | ||||
\(126\) | 6.53272 | + | 19.0781i | 0.581981 | + | 1.69961i | ||||
\(127\) | 3.12612 | 0.277398 | 0.138699 | − | 0.990335i | \(-0.455708\pi\) | ||||
0.138699 | + | 0.990335i | \(0.455708\pi\) | |||||||
\(128\) | −7.61654 | − | 8.36590i | −0.673214 | − | 0.739448i | ||||
\(129\) | 5.55233 | 0.488856 | ||||||||
\(130\) | 1.76485 | + | 5.15404i | 0.154787 | + | 0.452040i | ||||
\(131\) | −6.35316 | + | 7.74135i | −0.555078 | + | 0.676365i | −0.972649 | − | 0.232280i | \(-0.925382\pi\) |
0.417571 | + | 0.908644i | \(0.362882\pi\) | |||||||
\(132\) | 0.926467 | − | 7.33833i | 0.0806386 | − | 0.638719i | ||||
\(133\) | 17.9639 | − | 5.44928i | 1.55766 | − | 0.472512i | ||||
\(134\) | −10.9159 | − | 4.07538i | −0.942992 | − | 0.352059i | ||||
\(135\) | −0.878167 | − | 0.174678i | −0.0755806 | − | 0.0150339i | ||||
\(136\) | −13.2264 | − | 2.52147i | −1.13415 | − | 0.216215i | ||||
\(137\) | −2.30686 | − | 11.5974i | −0.197089 | − | 0.990831i | −0.945009 | − | 0.327043i | \(-0.893948\pi\) |
0.747921 | − | 0.663788i | \(-0.231052\pi\) | |||||||
\(138\) | 9.94339 | + | 13.7984i | 0.846438 | + | 1.17460i | ||||
\(139\) | −6.01964 | − | 0.592883i | −0.510580 | − | 0.0502877i | −0.160553 | − | 0.987027i | \(-0.551328\pi\) |
−0.350027 | + | 0.936740i | \(0.613828\pi\) | |||||||
\(140\) | 6.17276 | − | 5.84331i | 0.521694 | − | 0.493850i | ||||
\(141\) | 6.30522 | − | 20.7855i | 0.530995 | − | 1.75046i | ||||
\(142\) | 1.97220 | + | 14.6789i | 0.165503 | + | 1.23182i | ||||
\(143\) | −2.16265 | + | 5.22109i | −0.180850 | + | 0.436610i | ||||
\(144\) | −13.4005 | − | 0.735387i | −1.11671 | − | 0.0612822i | ||||
\(145\) | −3.12110 | − | 7.53501i | −0.259194 | − | 0.625749i | ||||
\(146\) | −14.3373 | + | 8.32851i | −1.18656 | + | 0.689273i | ||||
\(147\) | −24.5935 | + | 13.1455i | −2.02844 | + | 1.08422i | ||||
\(148\) | 0.817819 | + | 4.79479i | 0.0672243 | + | 0.394129i | ||||
\(149\) | 1.86463 | − | 1.53026i | 0.152756 | − | 0.125364i | −0.554911 | − | 0.831910i | \(-0.687248\pi\) |
0.707667 | + | 0.706546i | \(0.249748\pi\) | |||||||
\(150\) | 0.818784 | + | 3.46986i | 0.0668535 | + | 0.283313i | ||||
\(151\) | 5.14133 | − | 7.69455i | 0.418396 | − | 0.626173i | −0.561074 | − | 0.827766i | \(-0.689612\pi\) |
0.979469 | + | 0.201592i | \(0.0646116\pi\) | |||||||
\(152\) | −1.12543 | + | 12.4426i | −0.0912840 | + | 1.00922i | ||||
\(153\) | −13.2804 | + | 8.87365i | −1.07365 | + | 0.717392i | ||||
\(154\) | 8.81173 | − | 0.311905i | 0.710069 | − | 0.0251340i | ||||
\(155\) | −0.0450191 | − | 0.0240632i | −0.00361602 | − | 0.00193280i | ||||
\(156\) | 18.4245 | + | 6.14530i | 1.47514 | + | 0.492018i | ||||
\(157\) | 0.958014 | + | 9.72688i | 0.0764579 | + | 0.776290i | 0.954600 | + | 0.297890i | \(0.0962829\pi\) |
−0.878142 | + | 0.478400i | \(0.841217\pi\) | |||||||
\(158\) | −2.42284 | − | 0.152338i | −0.192751 | − | 0.0121193i | ||||
\(159\) | 13.4170 | + | 13.4170i | 1.06403 | + | 1.06403i | ||||
\(160\) | 2.06278 | + | 5.26735i | 0.163077 | + | 0.416420i | ||||
\(161\) | −14.3363 | + | 14.3363i | −1.12986 | + | 1.12986i | ||||
\(162\) | 8.28293 | − | 7.30296i | 0.650769 | − | 0.573775i | ||||
\(163\) | 15.7457 | − | 1.55082i | 1.23330 | − | 0.121470i | 0.539718 | − | 0.841846i | \(-0.318531\pi\) |
0.693583 | + | 0.720376i | \(0.256031\pi\) | |||||||
\(164\) | −20.7777 | + | 1.47276i | −1.62247 | + | 0.115004i | ||||
\(165\) | −1.74336 | + | 3.26160i | −0.135721 | + | 0.253915i | ||||
\(166\) | 7.89330 | + | 7.35361i | 0.612639 | + | 0.570751i | ||||
\(167\) | 2.21038 | + | 3.30807i | 0.171045 | + | 0.255986i | 0.907081 | − | 0.420955i | \(-0.138305\pi\) |
−0.736037 | + | 0.676941i | \(0.763305\pi\) | |||||||
\(168\) | −3.21051 | − | 30.1327i | −0.247696 | − | 2.32479i | ||||
\(169\) | −1.52943 | − | 1.02193i | −0.117649 | − | 0.0786103i | ||||
\(170\) | 5.72651 | + | 3.53991i | 0.439203 | + | 0.271499i | ||||
\(171\) | 9.40172 | + | 11.4560i | 0.718968 | + | 0.876065i | ||||
\(172\) | −4.29514 | − | 0.977452i | −0.327502 | − | 0.0745301i | ||||
\(173\) | 7.03589 | + | 13.1632i | 0.534929 | + | 1.00078i | 0.993684 | + | 0.112219i | \(0.0357958\pi\) |
−0.458754 | + | 0.888563i | \(0.651704\pi\) | |||||||
\(174\) | −28.1060 | − | 7.45099i | −2.13071 | − | 0.564858i | ||||
\(175\) | −3.92641 | + | 1.62637i | −0.296809 | + | 0.122942i | ||||
\(176\) | −2.00856 | + | 5.51364i | −0.151401 | + | 0.415607i | ||||
\(177\) | −4.63977 | − | 1.92185i | −0.348746 | − | 0.144455i | ||||
\(178\) | −14.6182 | − | 11.1553i | −1.09568 | − | 0.836127i | ||||
\(179\) | 5.18958 | + | 1.57424i | 0.387887 | + | 0.117664i | 0.478204 | − | 0.878249i | \(-0.341288\pi\) |
−0.0903167 | + | 0.995913i | \(0.528788\pi\) | |||||||
\(180\) | 6.12684 | + | 2.73689i | 0.456668 | + | 0.203996i | ||||
\(181\) | 2.15162 | − | 21.8458i | 0.159929 | − | 1.62378i | −0.495557 | − | 0.868575i | \(-0.665036\pi\) |
0.655486 | − | 0.755208i | \(-0.272464\pi\) | |||||||
\(182\) | −3.71079 | + | 22.8535i | −0.275062 | + | 1.69402i | ||||
\(183\) | −22.3273 | + | 4.44117i | −1.65048 | + | 0.328301i | ||||
\(184\) | −5.26283 | − | 12.4246i | −0.387981 | − | 0.915951i | ||||
\(185\) | 0.474463 | − | 2.38529i | 0.0348832 | − | 0.175370i | ||||
\(186\) | −0.165567 | + | 0.0755484i | −0.0121400 | + | 0.00553948i | ||||
\(187\) | 2.02726 | + | 6.68299i | 0.148248 | + | 0.488709i | ||||
\(188\) | −8.53671 | + | 14.9692i | −0.622604 | + | 1.09174i | ||||
\(189\) | −2.94150 | − | 2.41403i | −0.213963 | − | 0.175595i | ||||
\(190\) | 2.74794 | − | 5.60979i | 0.199356 | − | 0.406977i | ||||
\(191\) | − | 0.275560i | − | 0.0199388i | −0.999950 | − | 0.00996940i | \(-0.996827\pi\) | ||
0.999950 | − | 0.00996940i | \(-0.00317341\pi\) | |||||||
\(192\) | 19.3900 | + | 5.54596i | 1.39936 | + | 0.400245i | ||||
\(193\) | − | 26.1989i | − | 1.88584i | −0.333022 | − | 0.942919i | \(-0.608069\pi\) | ||
0.333022 | − | 0.942919i | \(-0.391931\pi\) | |||||||
\(194\) | 8.81058 | + | 4.31583i | 0.632563 | + | 0.309859i | ||||
\(195\) | −7.50685 | − | 6.16071i | −0.537577 | − | 0.441178i | ||||
\(196\) | 21.3391 | − | 5.83949i | 1.52422 | − | 0.417106i | ||||
\(197\) | −3.24243 | − | 10.6889i | −0.231014 | − | 0.761550i | −0.993428 | − | 0.114460i | \(-0.963486\pi\) |
0.762414 | − | 0.647089i | \(-0.224014\pi\) | |||||||
\(198\) | 2.88966 | + | 6.33280i | 0.205359 | + | 0.450053i | ||||
\(199\) | 4.91067 | − | 24.6876i | 0.348108 | − | 1.75006i | −0.268964 | − | 0.963150i | \(-0.586681\pi\) |
0.617072 | − | 0.786906i | \(-0.288319\pi\) | |||||||
\(200\) | −0.0225439 | − | 2.82834i | −0.00159409 | − | 0.199994i | ||||
\(201\) | 20.3713 | − | 4.05210i | 1.43688 | − | 0.285813i | ||||
\(202\) | 7.90373 | + | 1.28335i | 0.556104 | + | 0.0902961i | ||||
\(203\) | 3.39744 | − | 34.4947i | 0.238453 | − | 2.42106i | ||||
\(204\) | 22.4181 | − | 8.57385i | 1.56958 | − | 0.600289i | ||||
\(205\) | 9.96646 | + | 3.02329i | 0.696088 | + | 0.211156i | ||||
\(206\) | 7.87668 | − | 10.3218i | 0.548794 | − | 0.719150i | ||||
\(207\) | −14.7877 | − | 6.12527i | −1.02782 | − | 0.425736i | ||||
\(208\) | −13.1709 | − | 7.99737i | −0.913239 | − | 0.554518i | ||||
\(209\) | 5.98669 | − | 2.47977i | 0.414108 | − | 0.171529i | ||||
\(210\) | −3.88263 | + | 14.6457i | −0.267927 | + | 1.01065i | ||||
\(211\) | 1.59237 | + | 2.97912i | 0.109623 | + | 0.205091i | 0.930751 | − | 0.365654i | \(-0.119155\pi\) |
−0.821127 | + | 0.570745i | \(0.806655\pi\) | |||||||
\(212\) | −8.01705 | − | 12.7410i | −0.550613 | − | 0.875055i | ||||
\(213\) | −16.7489 | − | 20.4085i | −1.14761 | − | 1.39837i | ||||
\(214\) | 11.4101 | − | 18.4582i | 0.779980 | − | 1.26177i | ||||
\(215\) | 1.83129 | + | 1.22363i | 0.124893 | + | 0.0834510i | ||||
\(216\) | 2.22387 | − | 1.21157i | 0.151315 | − | 0.0824371i | ||||
\(217\) | −0.120528 | − | 0.180382i | −0.00818195 | − | 0.0122452i | ||||
\(218\) | 14.8380 | − | 15.9270i | 1.00496 | − | 1.07871i | ||||
\(219\) | 13.9329 | − | 26.0665i | 0.941495 | − | 1.76141i | ||||
\(220\) | 1.92280 | − | 2.21618i | 0.129635 | − | 0.149415i | ||||
\(221\) | −18.2499 | + | 1.79746i | −1.22762 | + | 0.120910i | ||||
\(222\) | −5.73418 | − | 6.50364i | −0.384853 | − | 0.436495i | ||||
\(223\) | −5.26298 | + | 5.26298i | −0.352435 | + | 0.352435i | −0.861015 | − | 0.508580i | \(-0.830171\pi\) |
0.508580 | + | 0.861015i | \(0.330171\pi\) | |||||||
\(224\) | −2.82110 | + | 23.8751i | −0.188493 | + | 1.59522i | ||||
\(225\) | −2.37247 | − | 2.37247i | −0.158164 | − | 0.158164i | ||||
\(226\) | −1.62797 | + | 25.8920i | −0.108291 | + | 1.72231i | ||||
\(227\) | −2.23316 | − | 22.6737i | −0.148220 | − | 1.50491i | −0.725422 | − | 0.688304i | \(-0.758356\pi\) |
0.577202 | − | 0.816601i | \(-0.304144\pi\) | |||||||
\(228\) | −9.95593 | − | 19.9211i | −0.659348 | − | 1.31931i | ||||
\(229\) | −13.2955 | − | 7.10660i | −0.878592 | − | 0.469617i | −0.0305421 | − | 0.999533i | \(-0.509723\pi\) |
−0.848050 | + | 0.529916i | \(0.822223\pi\) | |||||||
\(230\) | 0.238657 | + | 6.74239i | 0.0157366 | + | 0.444580i | ||||
\(231\) | −13.0686 | + | 8.73214i | −0.859849 | + | 0.574533i | ||||
\(232\) | 20.4304 | + | 10.7118i | 1.34132 | + | 0.703262i | ||||
\(233\) | −6.55231 | + | 9.80622i | −0.429256 | + | 0.642427i | −0.981546 | − | 0.191225i | \(-0.938754\pi\) |
0.552290 | + | 0.833652i | \(0.313754\pi\) | |||||||
\(234\) | −17.7898 | + | 4.19787i | −1.16296 | + | 0.274424i | ||||
\(235\) | 6.66036 | − | 5.46602i | 0.434474 | − | 0.356564i | ||||
\(236\) | 3.25088 | + | 2.30350i | 0.211614 | + | 0.149945i | ||||
\(237\) | 3.81645 | − | 2.03993i | 0.247905 | − | 0.132508i | ||||
\(238\) | 14.3717 | + | 24.7404i | 0.931576 | + | 1.60368i | ||||
\(239\) | −7.17946 | − | 17.3328i | −0.464401 | − | 1.12116i | −0.966572 | − | 0.256395i | \(-0.917465\pi\) |
0.502171 | − | 0.864768i | \(-0.332535\pi\) | |||||||
\(240\) | −8.06479 | − | 6.05326i | −0.520580 | − | 0.390736i | ||||
\(241\) | 3.99974 | − | 9.65623i | 0.257646 | − | 0.622012i | −0.741136 | − | 0.671355i | \(-0.765713\pi\) |
0.998782 | + | 0.0493427i | \(0.0157126\pi\) | |||||||
\(242\) | −12.4013 | + | 1.66619i | −0.797186 | + | 0.107107i | ||||
\(243\) | −6.49382 | + | 21.4072i | −0.416579 | + | 1.37328i | ||||
\(244\) | 18.0536 | + | 0.494996i | 1.15577 | + | 0.0316889i | ||||
\(245\) | −11.0085 | − | 1.08425i | −0.703310 | − | 0.0692700i | ||||
\(246\) | 30.1241 | − | 21.7080i | 1.92064 | − | 1.38405i | ||||
\(247\) | 3.31954 | + | 16.6885i | 0.211217 | + | 1.06186i | ||||
\(248\) | 0.141378 | − | 0.0292953i | 0.00897754 | − | 0.00186025i | ||||
\(249\) | −18.8609 | − | 3.75166i | −1.19526 | − | 0.237752i | ||||
\(250\) | −0.494639 | + | 1.32489i | −0.0312837 | + | 0.0837934i | ||||
\(251\) | 6.37896 | − | 1.93504i | 0.402636 | − | 0.122138i | −0.0824700 | − | 0.996594i | \(-0.526281\pi\) |
0.485106 | + | 0.874455i | \(0.338781\pi\) | |||||||
\(252\) | 17.4809 | + | 22.5326i | 1.10119 | + | 1.41942i | ||||
\(253\) | −4.43983 | + | 5.40995i | −0.279130 | + | 0.340121i | ||||
\(254\) | 4.18259 | − | 1.43220i | 0.262439 | − | 0.0898643i | ||||
\(255\) | −12.0009 | −0.751523 | ||||||||
\(256\) | −14.0233 | − | 7.70370i | −0.876456 | − | 0.481481i | ||||
\(257\) | −11.3438 | −0.707608 | −0.353804 | − | 0.935320i | \(-0.615112\pi\) | ||||
−0.353804 | + | 0.935320i | \(0.615112\pi\) | |||||||
\(258\) | 7.42874 | − | 2.54375i | 0.462493 | − | 0.158367i | ||||
\(259\) | 6.55701 | − | 7.98974i | 0.407433 | − | 0.496459i | ||||
\(260\) | 4.72255 | + | 6.08730i | 0.292880 | + | 0.377518i | ||||
\(261\) | 26.1859 | − | 7.94342i | 1.62087 | − | 0.491685i | ||||
\(262\) | −4.95358 | + | 13.2682i | −0.306033 | + | 0.819710i | ||||
\(263\) | 12.8809 | + | 2.56217i | 0.794271 | + | 0.157990i | 0.575517 | − | 0.817790i | \(-0.304801\pi\) |
0.218754 | + | 0.975780i | \(0.429801\pi\) | |||||||
\(264\) | −2.12242 | − | 10.2428i | −0.130626 | − | 0.630398i | ||||
\(265\) | 1.46839 | + | 7.38209i | 0.0902025 | + | 0.453478i | ||||
\(266\) | 21.5382 | − | 15.5208i | 1.32059 | − | 0.951642i | ||||
\(267\) | 32.6209 | + | 3.21288i | 1.99636 | + | 0.196625i | ||||
\(268\) | −16.4720 | − | 0.451632i | −1.00619 | − | 0.0275878i | ||||
\(269\) | −8.58782 | + | 28.3102i | −0.523609 | + | 1.72611i | 0.151565 | + | 0.988447i | \(0.451569\pi\) |
−0.675173 | + | 0.737659i | \(0.735931\pi\) | |||||||
\(270\) | −1.25497 | + | 0.168613i | −0.0763750 | + | 0.0102615i | ||||
\(271\) | 5.68733 | − | 13.7304i | 0.345481 | − | 0.834064i | −0.651661 | − | 0.758510i | \(-0.725928\pi\) |
0.997142 | − | 0.0755537i | \(-0.0240724\pi\) | |||||||
\(272\) | −18.8514 | + | 2.68595i | −1.14304 | + | 0.162859i | ||||
\(273\) | −15.7940 | − | 38.1301i | −0.955898 | − | 2.30774i | ||||
\(274\) | −8.39970 | − | 14.4598i | −0.507444 | − | 0.873551i | ||||
\(275\) | −1.29380 | + | 0.691550i | −0.0780191 | + | 0.0417021i | ||||
\(276\) | 19.6254 | + | 13.9061i | 1.18131 | + | 0.837049i | ||||
\(277\) | −21.8402 | + | 17.9238i | −1.31225 | + | 1.07694i | −0.320704 | + | 0.947179i | \(0.603919\pi\) |
−0.991546 | + | 0.129756i | \(0.958581\pi\) | |||||||
\(278\) | −8.32560 | + | 1.96459i | −0.499336 | + | 0.117829i | ||||
\(279\) | 0.0951527 | − | 0.142406i | 0.00569664 | − | 0.00852563i | ||||
\(280\) | 5.58179 | − | 10.6460i | 0.333576 | − | 0.636223i | ||||
\(281\) | 3.04954 | − | 2.03763i | 0.181920 | − | 0.121555i | −0.461276 | − | 0.887257i | \(-0.652608\pi\) |
0.643196 | + | 0.765702i | \(0.277608\pi\) | |||||||
\(282\) | −1.08663 | − | 30.6986i | −0.0647076 | − | 1.82808i | ||||
\(283\) | −11.8836 | − | 6.35191i | −0.706406 | − | 0.377582i | 0.0787375 | − | 0.996895i | \(-0.474911\pi\) |
−0.785144 | + | 0.619313i | \(0.787411\pi\) | |||||||
\(284\) | 9.36369 | + | 18.7361i | 0.555633 | + | 1.11178i | ||||
\(285\) | 1.09144 | + | 11.0816i | 0.0646513 | + | 0.656416i | ||||
\(286\) | −0.501518 | + | 7.97635i | −0.0296554 | + | 0.471651i | ||||
\(287\) | 31.2984 | + | 31.2984i | 1.84749 | + | 1.84749i | ||||
\(288\) | −18.2661 | + | 5.15541i | −1.07634 | + | 0.303786i | ||||
\(289\) | −4.00360 | + | 4.00360i | −0.235506 | + | 0.235506i | ||||
\(290\) | −7.62797 | − | 8.65156i | −0.447930 | − | 0.508037i | ||||
\(291\) | −17.4044 | + | 1.71418i | −1.02026 | + | 0.100487i | ||||
\(292\) | −15.3669 | + | 17.7116i | −0.899283 | + | 1.03649i | ||||
\(293\) | −11.9443 | + | 22.3461i | −0.697791 | + | 1.30548i | 0.244163 | + | 0.969734i | \(0.421487\pi\) |
−0.941954 | + | 0.335742i | \(0.891013\pi\) | |||||||
\(294\) | −26.8823 | + | 28.8553i | −1.56781 | + | 1.68287i | ||||
\(295\) | −1.10677 | − | 1.65639i | −0.0644385 | − | 0.0964390i | ||||
\(296\) | 3.29089 | + | 6.04051i | 0.191279 | + | 0.351098i | ||||
\(297\) | −1.09216 | − | 0.729759i | −0.0633736 | − | 0.0423449i | ||||
\(298\) | 1.79370 | − | 2.90168i | 0.103907 | − | 0.168090i | ||||
\(299\) | −11.6584 | − | 14.2058i | −0.674221 | − | 0.821541i | ||||
\(300\) | 2.68518 | + | 4.26738i | 0.155029 | + | 0.246377i | ||||
\(301\) | 4.41244 | + | 8.25510i | 0.254329 | + | 0.475816i | ||||
\(302\) | 3.35366 | − | 12.6504i | 0.192981 | − | 0.727946i | ||||
\(303\) | −13.1870 | + | 5.46225i | −0.757575 | + | 0.313798i | ||||
\(304\) | 4.19468 | + | 17.1631i | 0.240581 | + | 0.984372i | ||||
\(305\) | −8.34283 | − | 3.45571i | −0.477709 | − | 0.197874i | ||||
\(306\) | −13.7031 | + | 17.9568i | −0.783352 | + | 1.02652i | ||||
\(307\) | −28.9213 | − | 8.77317i | −1.65062 | − | 0.500711i | −0.678385 | − | 0.734706i | \(-0.737320\pi\) |
−0.972238 | + | 0.233995i | \(0.924820\pi\) | |||||||
\(308\) | 11.6467 | − | 4.45432i | 0.663635 | − | 0.253809i | ||||
\(309\) | −2.26858 | + | 23.0333i | −0.129055 | + | 1.31032i | ||||
\(310\) | −0.0712576 | − | 0.0115703i | −0.00404716 | − | 0.000657148i | ||||
\(311\) | −12.6191 | + | 2.51009i | −0.715562 | + | 0.142334i | −0.539428 | − | 0.842032i | \(-0.681359\pi\) |
−0.176135 | + | 0.984366i | \(0.556359\pi\) | |||||||
\(312\) | 27.4665 | − | 0.218928i | 1.55499 | − | 0.0123944i | ||||
\(313\) | 2.90967 | − | 14.6279i | 0.164464 | − | 0.826817i | −0.807168 | − | 0.590321i | \(-0.799001\pi\) |
0.971633 | − | 0.236496i | \(-0.0759989\pi\) | |||||||
\(314\) | 5.73805 | + | 12.5752i | 0.323817 | + | 0.709658i | ||||
\(315\) | −4.13923 | − | 13.6452i | −0.233219 | − | 0.768821i | ||||
\(316\) | −3.31142 | + | 0.906180i | −0.186282 | + | 0.0509766i | ||||
\(317\) | −15.4143 | − | 12.6502i | −0.865752 | − | 0.710504i | 0.0927199 | − | 0.995692i | \(-0.470444\pi\) |
−0.958472 | + | 0.285188i | \(0.907944\pi\) | |||||||
\(318\) | 24.0981 | + | 11.8044i | 1.35135 | + | 0.661956i | ||||
\(319\) | − | 11.9648i | − | 0.669901i | ||||||
\(320\) | 5.17308 | + | 6.10240i | 0.289184 | + | 0.341134i | ||||
\(321\) | 38.6821i | 2.15903i | ||||||||
\(322\) | −12.6132 | + | 25.7492i | −0.702905 | + | 1.43495i | ||||
\(323\) | 16.2543 | + | 13.3395i | 0.904413 | + | 0.742232i | ||||
\(324\) | 7.73636 | − | 13.5657i | 0.429798 | − | 0.753652i | ||||
\(325\) | −1.11823 | − | 3.68632i | −0.0620285 | − | 0.204480i | ||||
\(326\) | 20.3565 | − | 9.28868i | 1.12744 | − | 0.514452i | ||||
\(327\) | −7.57004 | + | 38.0572i | −0.418624 | + | 2.10457i | ||||
\(328\) | −27.1248 | + | 11.4896i | −1.49772 | + | 0.634407i | ||||
\(329\) | 35.9143 | − | 7.14379i | 1.98002 | − | 0.393850i | ||||
\(330\) | −0.838258 | + | 5.16256i | −0.0461446 | + | 0.284190i | ||||
\(331\) | 0.862060 | − | 8.75264i | 0.0473831 | − | 0.481089i | −0.941985 | − | 0.335655i | \(-0.891042\pi\) |
0.989368 | − | 0.145434i | \(-0.0464577\pi\) | |||||||
\(332\) | 13.9298 | + | 6.22252i | 0.764498 | + | 0.341505i | ||||
\(333\) | 7.80848 | + | 2.36868i | 0.427902 | + | 0.129803i | ||||
\(334\) | 4.47294 | + | 3.41337i | 0.244748 | + | 0.186771i | ||||
\(335\) | 7.61195 | + | 3.15297i | 0.415885 | + | 0.172265i | ||||
\(336\) | −18.1005 | − | 38.8452i | −0.987464 | − | 2.11918i | ||||
\(337\) | 3.63704 | − | 1.50651i | 0.198122 | − | 0.0820650i | −0.281416 | − | 0.959586i | \(-0.590804\pi\) |
0.479538 | + | 0.877521i | \(0.340804\pi\) | |||||||
\(338\) | −2.51449 | − | 0.666600i | −0.136770 | − | 0.0362583i | ||||
\(339\) | −21.8000 | − | 40.7850i | −1.18401 | − | 2.21514i | ||||
\(340\) | 9.28356 | + | 2.11267i | 0.503471 | + | 0.114576i | ||||
\(341\) | −0.0475076 | − | 0.0578882i | −0.00257268 | − | 0.00313482i | ||||
\(342\) | 17.8275 | + | 11.0203i | 0.964000 | + | 0.595908i | ||||
\(343\) | −14.3531 | − | 9.59047i | −0.774997 | − | 0.517837i | ||||
\(344\) | −6.19449 | + | 0.659997i | −0.333985 | + | 0.0355847i | ||||
\(345\) | −6.68149 | − | 9.99956i | −0.359720 | − | 0.538358i | ||||
\(346\) | 15.4443 | + | 14.3883i | 0.830289 | + | 0.773520i | ||||
\(347\) | −7.78810 | + | 14.5705i | −0.418087 | + | 0.782186i | −0.999506 | − | 0.0314183i | \(-0.989998\pi\) |
0.581419 | + | 0.813604i | \(0.302498\pi\) | |||||||
\(348\) | −41.0180 | + | 2.90743i | −2.19879 | + | 0.155855i | ||||
\(349\) | 18.2525 | − | 1.79772i | 0.977035 | − | 0.0962296i | 0.403123 | − | 0.915146i | \(-0.367925\pi\) |
0.573913 | + | 0.818916i | \(0.305425\pi\) | |||||||
\(350\) | −4.50823 | + | 3.97485i | −0.240975 | + | 0.212465i | ||||
\(351\) | 2.43892 | − | 2.43892i | 0.130180 | − | 0.130180i | ||||
\(352\) | −0.161323 | + | 8.29717i | −0.00859854 | + | 0.442241i | ||||
\(353\) | 25.3593 | + | 25.3593i | 1.34974 | + | 1.34974i | 0.885939 | + | 0.463802i | \(0.153515\pi\) |
0.463802 | + | 0.885939i | \(0.346485\pi\) | |||||||
\(354\) | −7.08825 | − | 0.445679i | −0.376736 | − | 0.0236875i | ||||
\(355\) | −1.02651 | − | 10.4224i | −0.0544817 | − | 0.553162i | ||||
\(356\) | −24.6691 | − | 8.22809i | −1.30746 | − | 0.436088i | ||||
\(357\) | −44.9803 | − | 24.0425i | −2.38061 | − | 1.27246i | ||||
\(358\) | 7.66461 | − | 0.271301i | 0.405087 | − | 0.0143387i | ||||
\(359\) | 21.2110 | − | 14.1727i | 1.11947 | − | 0.748009i | 0.148910 | − | 0.988851i | \(-0.452424\pi\) |
0.970564 | + | 0.240842i | \(0.0774236\pi\) | |||||||
\(360\) | 9.45128 | + | 0.854865i | 0.498126 | + | 0.0450553i | ||||
\(361\) | 0.283605 | − | 0.424445i | 0.0149266 | − | 0.0223392i | ||||
\(362\) | −7.12967 | − | 30.2143i | −0.374727 | − | 1.58803i | ||||
\(363\) | 17.2419 | − | 14.1501i | 0.904968 | − | 0.742688i | ||||
\(364\) | 5.50528 | + | 32.2769i | 0.288555 | + | 1.69177i | ||||
\(365\) | 10.3400 | − | 5.52684i | 0.541219 | − | 0.289288i | ||||
\(366\) | −27.8381 | + | 16.1711i | −1.45512 | + | 0.845276i | ||||
\(367\) | −7.18130 | − | 17.3372i | −0.374861 | − | 0.904994i | −0.992912 | − | 0.118856i | \(-0.962077\pi\) |
0.618051 | − | 0.786138i | \(-0.287923\pi\) | |||||||
\(368\) | −12.7336 | − | 14.2123i | −0.663785 | − | 0.740868i | ||||
\(369\) | −13.3724 | + | 32.2839i | −0.696142 | + | 1.68063i | ||||
\(370\) | −0.457989 | − | 3.40876i | −0.0238097 | − | 0.177213i | ||||
\(371\) | −9.28561 | + | 30.6106i | −0.482085 | + | 1.58922i | ||||
\(372\) | −0.186909 | + | 0.176933i | −0.00969077 | + | 0.00917355i | ||||
\(373\) | 18.7990 | + | 1.85154i | 0.973376 | + | 0.0958691i | 0.572184 | − | 0.820125i | \(-0.306096\pi\) |
0.401191 | + | 0.915994i | \(0.368596\pi\) | |||||||
\(374\) | 5.77412 | + | 8.01273i | 0.298573 | + | 0.414328i | ||||
\(375\) | −0.491812 | − | 2.47251i | −0.0253971 | − | 0.127680i | ||||
\(376\) | −4.56371 | + | 23.9390i | −0.235355 | + | 1.23456i | ||||
\(377\) | 30.8142 | + | 6.12933i | 1.58701 | + | 0.315677i | ||||
\(378\) | −5.04154 | − | 1.88223i | −0.259309 | − | 0.0968113i | ||||
\(379\) | −16.6388 | + | 5.04734i | −0.854680 | + | 0.259264i | −0.687072 | − | 0.726589i | \(-0.741104\pi\) |
−0.167608 | + | 0.985854i | \(0.553604\pi\) | |||||||
\(380\) | 1.10653 | − | 8.76456i | 0.0567638 | − | 0.449612i | ||||
\(381\) | −4.99951 | + | 6.09192i | −0.256133 | + | 0.312099i | ||||
\(382\) | −0.126245 | − | 0.368685i | −0.00645926 | − | 0.0188636i | ||||
\(383\) | −19.5740 | −1.00018 | −0.500092 | − | 0.865972i | \(-0.666701\pi\) | ||||
−0.500092 | + | 0.865972i | \(0.666701\pi\) | |||||||
\(384\) | 28.4837 | − | 1.46315i | 1.45355 | − | 0.0746661i | ||||
\(385\) | −6.23473 | −0.317752 | ||||||||
\(386\) | −12.0028 | − | 35.0528i | −0.610925 | − | 1.78414i | ||||
\(387\) | −4.68798 | + | 5.71231i | −0.238303 | + | 0.290373i | ||||
\(388\) | 13.7654 | + | 1.73788i | 0.698831 | + | 0.0882277i | ||||
\(389\) | −1.88705 | + | 0.572431i | −0.0956774 | + | 0.0290234i | −0.337760 | − | 0.941232i | \(-0.609669\pi\) |
0.242083 | + | 0.970256i | \(0.422169\pi\) | |||||||
\(390\) | −12.8663 | − | 4.80353i | −0.651508 | − | 0.243236i | ||||
\(391\) | −22.2738 | − | 4.43053i | −1.12643 | − | 0.224061i | ||||
\(392\) | 25.8753 | − | 17.5892i | 1.30690 | − | 0.888390i | ||||
\(393\) | −4.92528 | − | 24.7610i | −0.248447 | − | 1.24903i | ||||
\(394\) | −9.23521 | − | 12.8157i | −0.465263 | − | 0.645644i | ||||
\(395\) | 1.70832 | + | 0.168255i | 0.0859550 | + | 0.00846583i | ||||
\(396\) | 6.76753 | + | 7.14910i | 0.340081 | + | 0.359256i | ||||
\(397\) | 5.53038 | − | 18.2312i | 0.277562 | − | 0.914999i | −0.701712 | − | 0.712460i | \(-0.747581\pi\) |
0.979274 | − | 0.202539i | \(-0.0649192\pi\) | |||||||
\(398\) | −4.74016 | − | 35.2805i | −0.237603 | − | 1.76845i | ||||
\(399\) | −18.1100 | + | 43.7214i | −0.906633 | + | 2.18881i | ||||
\(400\) | −1.32594 | − | 3.77384i | −0.0662969 | − | 0.188692i | ||||
\(401\) | −1.01330 | − | 2.44633i | −0.0506020 | − | 0.122164i | 0.896557 | − | 0.442928i | \(-0.146060\pi\) |
−0.947159 | + | 0.320764i | \(0.896060\pi\) | |||||||
\(402\) | 25.3993 | − | 14.7544i | 1.26680 | − | 0.735883i | ||||
\(403\) | 0.173423 | − | 0.0926963i | 0.00863879 | − | 0.00461753i | ||||
\(404\) | 11.1627 | − | 1.90396i | 0.555367 | − | 0.0947256i | ||||
\(405\) | −6.03592 | + | 4.95355i | −0.299927 | + | 0.246144i | ||||
\(406\) | −11.2578 | − | 47.7087i | −0.558717 | − | 2.36774i | ||||
\(407\) | 1.98218 | − | 2.96654i | 0.0982530 | − | 0.147046i | ||||
\(408\) | 26.0663 | − | 21.7420i | 1.29047 | − | 1.07639i | ||||
\(409\) | 28.9694 | − | 19.3568i | 1.43245 | − | 0.957130i | 0.434029 | − | 0.900899i | \(-0.357092\pi\) |
0.998418 | − | 0.0562314i | \(-0.0179085\pi\) | |||||||
\(410\) | 14.7197 | − | 0.521027i | 0.726955 | − | 0.0257317i | ||||
\(411\) | 26.2893 | + | 14.0519i | 1.29676 | + | 0.693131i | ||||
\(412\) | 5.80978 | − | 17.4186i | 0.286227 | − | 0.858153i | ||||
\(413\) | −0.829851 | − | 8.42562i | −0.0408343 | − | 0.414597i | ||||
\(414\) | −22.5914 | − | 1.42045i | −1.11031 | − | 0.0698114i | ||||
\(415\) | −5.39397 | − | 5.39397i | −0.264780 | − | 0.264780i | ||||
\(416\) | −21.2859 | − | 4.66594i | −1.04363 | − | 0.228767i | ||||
\(417\) | 10.7824 | − | 10.7824i | 0.528017 | − | 0.528017i | ||||
\(418\) | 6.87380 | − | 6.06054i | 0.336209 | − | 0.296431i | ||||
\(419\) | −4.40308 | + | 0.433665i | −0.215104 | + | 0.0211859i | −0.204995 | − | 0.978763i | \(-0.565718\pi\) |
−0.0101091 | + | 0.999949i | \(0.503218\pi\) | |||||||
\(420\) | 1.51503 | + | 21.3740i | 0.0739259 | + | 1.04295i | ||||
\(421\) | −17.9492 | + | 33.5807i | −0.874793 | + | 1.63662i | −0.108531 | + | 0.994093i | \(0.534615\pi\) |
−0.766261 | + | 0.642529i | \(0.777885\pi\) | |||||||
\(422\) | 3.49537 | + | 3.25638i | 0.170152 | + | 0.158518i | ||||
\(423\) | 16.0608 | + | 24.0366i | 0.780901 | + | 1.16870i | ||||
\(424\) | −16.5636 | − | 13.3739i | −0.804398 | − | 0.649492i | ||||
\(425\) | −3.95817 | − | 2.64477i | −0.192000 | − | 0.128290i | ||||
\(426\) | −31.7591 | − | 19.6323i | −1.53873 | − | 0.951186i | ||||
\(427\) | −24.3465 | − | 29.6663i | −1.17821 | − | 1.43566i | ||||
\(428\) | 6.80974 | − | 29.9235i | 0.329161 | − | 1.44641i | ||||
\(429\) | −6.71578 | − | 12.5643i | −0.324241 | − | 0.606612i | ||||
\(430\) | 3.01077 | + | 0.798167i | 0.145192 | + | 0.0384910i | ||||
\(431\) | −9.15894 | + | 3.79376i | −0.441171 | + | 0.182739i | −0.592201 | − | 0.805790i | \(-0.701741\pi\) |
0.151030 | + | 0.988529i | \(0.451741\pi\) | |||||||
\(432\) | 2.42036 | − | 2.63987i | 0.116450 | − | 0.127011i | ||||
\(433\) | 3.94703 | + | 1.63491i | 0.189682 | + | 0.0785689i | 0.475503 | − | 0.879714i | \(-0.342266\pi\) |
−0.285821 | + | 0.958283i | \(0.592266\pi\) | |||||||
\(434\) | −0.243900 | − | 0.186124i | −0.0117076 | − | 0.00893423i | ||||
\(435\) | 19.6751 | + | 5.96838i | 0.943349 | + | 0.286162i | ||||
\(436\) | 12.5557 | − | 28.1074i | 0.601310 | − | 1.34610i | ||||
\(437\) | −2.06541 | + | 20.9705i | −0.0988021 | + | 1.00315i | ||||
\(438\) | 6.69932 | − | 41.2589i | 0.320106 | − | 1.97143i | ||||
\(439\) | 31.5556 | − | 6.27680i | 1.50607 | − | 0.299575i | 0.628037 | − | 0.778183i | \(-0.283859\pi\) |
0.878029 | + | 0.478608i | \(0.158859\pi\) | |||||||
\(440\) | 1.55729 | − | 3.84605i | 0.0742409 | − | 0.183353i | ||||
\(441\) | 7.24064 | − | 36.4012i | 0.344792 | − | 1.73339i | ||||
\(442\) | −23.5940 | + | 10.7659i | −1.12225 | + | 0.512083i | ||||
\(443\) | −3.18673 | − | 10.5053i | −0.151406 | − | 0.499119i | 0.848123 | − | 0.529799i | \(-0.177733\pi\) |
−0.999529 | + | 0.0306798i | \(0.990233\pi\) | |||||||
\(444\) | −10.6516 | − | 6.07448i | −0.505503 | − | 0.288282i | ||||
\(445\) | 10.0511 | + | 8.24872i | 0.476468 | + | 0.391027i | ||||
\(446\) | −4.63041 | + | 9.45278i | −0.219256 | + | 0.447602i | ||||
\(447\) | 6.08094i | 0.287619i | ||||||||
\(448\) | 7.16365 | + | 33.2361i | 0.338451 | + | 1.57026i | ||||
\(449\) | 25.5622i | 1.20636i | 0.797606 | + | 0.603179i | \(0.206099\pi\) | ||||
−0.797606 | + | 0.603179i | \(0.793901\pi\) | |||||||
\(450\) | −4.26116 | − | 2.08732i | −0.200873 | − | 0.0983970i | ||||
\(451\) | 11.8108 | + | 9.69286i | 0.556148 | + | 0.456419i | ||||
\(452\) | 9.68401 | + | 35.3880i | 0.455497 | + | 1.66451i | ||||
\(453\) | 6.77212 | + | 22.3247i | 0.318182 | + | 1.04890i | ||||
\(454\) | −13.3756 | − | 29.3131i | −0.627747 | − | 1.37573i | ||||
\(455\) | 3.19393 | − | 16.0570i | 0.149734 | − | 0.752762i | ||||
\(456\) | −22.4472 | − | 22.0922i | −1.05119 | − | 1.03456i | ||||
\(457\) | −2.81415 | + | 0.559769i | −0.131640 | + | 0.0261849i | −0.260471 | − | 0.965482i | \(-0.583878\pi\) |
0.128830 | + | 0.991667i | \(0.458878\pi\) | |||||||
\(458\) | −21.0445 | − | 3.41706i | −0.983347 | − | 0.159669i | ||||
\(459\) | 0.417786 | − | 4.24185i | 0.0195006 | − | 0.197993i | ||||
\(460\) | 3.40827 | + | 8.91164i | 0.158912 | + | 0.415507i | ||||
\(461\) | 40.8849 | + | 12.4023i | 1.90420 | + | 0.577633i | 0.981259 | + | 0.192693i | \(0.0617222\pi\) |
0.922942 | + | 0.384940i | \(0.125778\pi\) | |||||||
\(462\) | −13.4845 | + | 17.6704i | −0.627357 | + | 0.822101i | ||||
\(463\) | 12.1294 | + | 5.02416i | 0.563701 | + | 0.233493i | 0.646291 | − | 0.763091i | \(-0.276319\pi\) |
−0.0825901 | + | 0.996584i | \(0.526319\pi\) | |||||||
\(464\) | 32.2423 | + | 4.97183i | 1.49681 | + | 0.230811i | ||||
\(465\) | 0.118890 | − | 0.0492459i | 0.00551340 | − | 0.00228373i | ||||
\(466\) | −4.27403 | + | 16.1221i | −0.197990 | + | 0.746842i | ||||
\(467\) | −11.0818 | − | 20.7327i | −0.512807 | − | 0.959394i | −0.996455 | − | 0.0841314i | \(-0.973188\pi\) |
0.483648 | − | 0.875263i | \(-0.339312\pi\) | |||||||
\(468\) | −21.8787 | + | 13.7668i | −1.01134 | + | 0.636370i | ||||
\(469\) | 22.2136 | + | 27.0674i | 1.02573 | + | 1.24986i | ||||
\(470\) | 6.40702 | − | 10.3646i | 0.295534 | − | 0.478085i | ||||
\(471\) | −20.4871 | − | 13.6890i | −0.943995 | − | 0.630757i | ||||
\(472\) | 5.40483 | + | 1.59261i | 0.248778 | + | 0.0733057i | ||||
\(473\) | 1.79510 | + | 2.68655i | 0.0825387 | + | 0.123528i | ||||
\(474\) | 4.17164 | − | 4.47780i | 0.191610 | − | 0.205672i | ||||
\(475\) | −2.08219 | + | 3.89550i | −0.0955375 | + | 0.178738i | ||||
\(476\) | 30.5631 | + | 26.5172i | 1.40086 | + | 1.21541i | ||||
\(477\) | −25.1318 | + | 2.47527i | −1.15071 | + | 0.113335i | ||||
\(478\) | −17.5466 | − | 19.9011i | −0.802563 | − | 0.910257i | ||||
\(479\) | 1.42263 | − | 1.42263i | 0.0650018 | − | 0.0650018i | −0.673859 | − | 0.738860i | \(-0.735364\pi\) |
0.738860 | + | 0.673859i | \(0.235364\pi\) | |||||||
\(480\) | −13.5635 | − | 4.40414i | −0.619087 | − | 0.201021i | ||||
\(481\) | 6.62461 | + | 6.62461i | 0.302056 | + | 0.302056i | ||||
\(482\) | 0.927540 | − | 14.7520i | 0.0422483 | − | 0.671934i | ||||
\(483\) | −5.00976 | − | 50.8650i | −0.227952 | − | 2.31444i | ||||
\(484\) | −15.8290 | + | 7.91082i | −0.719498 | + | 0.359583i | ||||
\(485\) | −6.11817 | − | 3.27023i | −0.277812 | − | 0.148493i | ||||
\(486\) | 1.11913 | + | 31.6169i | 0.0507647 | + | 1.43417i | ||||
\(487\) | −0.104226 | + | 0.0696415i | −0.00472293 | + | 0.00315576i | −0.557929 | − | 0.829888i | \(-0.688404\pi\) |
0.553207 | + | 0.833044i | \(0.313404\pi\) | |||||||
\(488\) | 24.3816 | − | 7.60882i | 1.10370 | − | 0.344435i | ||||
\(489\) | −22.1596 | + | 33.1642i | −1.00209 | + | 1.49974i | ||||
\(490\) | −15.2256 | + | 3.59279i | −0.687823 | + | 0.162306i | ||||
\(491\) | −9.25872 | + | 7.59844i | −0.417840 | + | 0.342913i | −0.819705 | − | 0.572787i | \(-0.805862\pi\) |
0.401864 | + | 0.915699i | \(0.368362\pi\) | |||||||
\(492\) | 30.3592 | − | 42.8453i | 1.36870 | − | 1.93161i | ||||
\(493\) | 34.2410 | − | 18.3022i | 1.54214 | − | 0.824291i | ||||
\(494\) | 12.0870 | + | 20.8075i | 0.543822 | + | 0.936174i | ||||
\(495\) | −1.88361 | − | 4.54745i | −0.0846621 | − | 0.204392i | ||||
\(496\) | 0.175736 | − | 0.103967i | 0.00789077 | − | 0.00466824i | ||||
\(497\) | 17.0327 | − | 41.1206i | 0.764021 | − | 1.84451i | ||||
\(498\) | −26.9537 | + | 3.62139i | −1.20782 | + | 0.162279i | ||||
\(499\) | 7.58045 | − | 24.9894i | 0.339348 | − | 1.11868i | −0.606776 | − | 0.794873i | \(-0.707537\pi\) |
0.946123 | − | 0.323806i | \(-0.104963\pi\) | |||||||
\(500\) | −0.0548156 | + | 1.99925i | −0.00245143 | + | 0.0894091i | ||||
\(501\) | −9.98150 | − | 0.983092i | −0.445941 | − | 0.0439213i | ||||
\(502\) | 7.64821 | − | 5.51144i | 0.341356 | − | 0.245988i | ||||
\(503\) | 3.28158 | + | 16.4976i | 0.146318 | + | 0.735592i | 0.982371 | + | 0.186943i | \(0.0598579\pi\) |
−0.836052 | + | 0.548650i | \(0.815142\pi\) | |||||||
\(504\) | 33.7116 | + | 22.1388i | 1.50164 | + | 0.986140i | ||||
\(505\) | −5.55318 | − | 1.10460i | −0.247113 | − | 0.0491539i | ||||
\(506\) | −3.46175 | + | 9.27231i | −0.153894 | + | 0.412204i | ||||
\(507\) | 4.43744 | − | 1.34608i | 0.197073 | − | 0.0597816i | ||||
\(508\) | 4.93994 | − | 3.83242i | 0.219174 | − | 0.170036i | ||||
\(509\) | −20.3937 | + | 24.8498i | −0.903936 | + | 1.10145i | 0.0904782 | + | 0.995898i | \(0.471160\pi\) |
−0.994414 | + | 0.105550i | \(0.966340\pi\) | |||||||
\(510\) | −16.0565 | + | 5.49808i | −0.710995 | + | 0.243459i | ||||
\(511\) | 49.8277 | 2.20425 | ||||||||
\(512\) | −22.2918 | − | 3.88252i | −0.985169 | − | 0.171585i | ||||
\(513\) | −3.95491 | −0.174614 | ||||||||
\(514\) | −15.1774 | + | 5.19706i | −0.669449 | + | 0.229233i | ||||
\(515\) | −5.82435 | + | 7.09699i | −0.256651 | + | 0.312731i | ||||
\(516\) | 8.77388 | − | 6.80681i | 0.386249 | − | 0.299653i | ||||
\(517\) | 12.0958 | − | 3.66922i | 0.531973 | − | 0.161372i | ||||
\(518\) | 5.11253 | − | 13.6939i | 0.224631 | − | 0.601676i | ||||
\(519\) | −36.9037 | − | 7.34061i | −1.61989 | − | 0.322217i | ||||
\(520\) | 9.10737 | + | 5.98091i | 0.399385 | + | 0.262280i | ||||
\(521\) | −4.78861 | − | 24.0740i | −0.209793 | − | 1.05470i | −0.931844 | − | 0.362860i | \(-0.881800\pi\) |
0.722051 | − | 0.691840i | \(-0.243200\pi\) | |||||||
\(522\) | 31.3963 | − | 22.6247i | 1.37418 | − | 0.990258i | ||||
\(523\) | −5.46673 | − | 0.538425i | −0.239043 | − | 0.0235437i | −0.0222139 | − | 0.999753i | \(-0.507071\pi\) |
−0.216829 | + | 0.976210i | \(0.569571\pi\) | |||||||
\(524\) | −0.548953 | + | 20.0216i | −0.0239811 | + | 0.874646i | ||||
\(525\) | 3.11006 | − | 10.2525i | 0.135734 | − | 0.447455i | ||||
\(526\) | 18.4078 | − | 2.47321i | 0.802620 | − | 0.107837i | ||||
\(527\) | 0.0929941 | − | 0.224508i | 0.00405089 | − | 0.00977971i | ||||
\(528\) | −7.53231 | − | 12.7319i | −0.327802 | − | 0.554086i | ||||
\(529\) | 0.0924544 | + | 0.223205i | 0.00401976 | + | 0.00970455i | ||||
\(530\) | 5.34667 | + | 9.20414i | 0.232244 | + | 0.399802i | ||||
\(531\) | 5.89470 | − | 3.15078i | 0.255808 | − | 0.136732i | ||||
\(532\) | 21.7063 | − | 30.6336i | 0.941086 | − | 1.32813i | ||||
\(533\) | −31.0135 | + | 25.4521i | −1.34334 | + | 1.10245i | ||||
\(534\) | 45.1170 | − | 10.6463i | 1.95240 | − | 0.460709i | ||||
\(535\) | −8.52483 | + | 12.7583i | −0.368561 | + | 0.551590i | ||||
\(536\) | −22.2457 | + | 6.94224i | −0.960866 | + | 0.299859i | ||||
\(537\) | −11.3673 | + | 7.59539i | −0.490535 | + | 0.327765i | ||||
\(538\) | 1.48000 | + | 41.8121i | 0.0638075 | + | 1.80265i | ||||
\(539\) | −14.3118 | − | 7.64980i | −0.616452 | − | 0.329500i | ||||
\(540\) | −1.60184 | + | 0.800548i | −0.0689321 | + | 0.0344501i | ||||
\(541\) | −0.778729 | − | 7.90657i | −0.0334802 | − | 0.339930i | −0.997303 | − | 0.0733879i | \(-0.976619\pi\) |
0.963823 | − | 0.266542i | \(-0.0858811\pi\) | |||||||
\(542\) | 1.31889 | − | 20.9762i | 0.0566513 | − | 0.901005i | ||||
\(543\) | 39.1302 | + | 39.1302i | 1.67924 | + | 1.67924i | ||||
\(544\) | −23.9917 | + | 12.2303i | −1.02864 | + | 0.524368i | ||||
\(545\) | −10.8839 | + | 10.8839i | −0.466214 | + | 0.466214i | ||||
\(546\) | −38.6005 | − | 43.7803i | −1.65195 | − | 1.87362i | ||||
\(547\) | 1.75144 | − | 0.172501i | 0.0748860 | − | 0.00737563i | −0.0605047 | − | 0.998168i | \(-0.519271\pi\) |
0.135391 | + | 0.990792i | \(0.456771\pi\) | |||||||
\(548\) | −17.8630 | − | 15.4983i | −0.763070 | − | 0.662054i | ||||
\(549\) | 14.2823 | − | 26.7204i | 0.609556 | − | 1.14040i | ||||
\(550\) | −1.41421 | + | 1.51800i | −0.0603022 | + | 0.0647278i | ||||
\(551\) | −20.0143 | − | 29.9536i | −0.852640 | − | 1.27607i | ||||
\(552\) | 32.6287 | + | 9.61448i | 1.38877 | + | 0.409219i | ||||
\(553\) | 6.06587 | + | 4.05309i | 0.257947 | + | 0.172355i | ||||
\(554\) | −21.0095 | + | 33.9870i | −0.892606 | + | 1.44397i | ||||
\(555\) | 3.88946 | + | 4.73932i | 0.165098 | + | 0.201173i | ||||
\(556\) | −10.2392 | + | 6.44282i | −0.434237 | + | 0.273236i | ||||
\(557\) | −16.1450 | − | 30.2052i | −0.684086 | − | 1.27983i | −0.948913 | − | 0.315538i | \(-0.897815\pi\) |
0.264827 | − | 0.964296i | \(-0.414685\pi\) | |||||||
\(558\) | 0.0620675 | − | 0.234125i | 0.00262753 | − | 0.00991131i | ||||
\(559\) | −7.83855 | + | 3.24683i | −0.331535 | + | 0.137326i | ||||
\(560\) | 2.59077 | − | 16.8011i | 0.109480 | − | 0.709976i | ||||
\(561\) | −16.2654 | − | 6.73735i | −0.686726 | − | 0.284451i | ||||
\(562\) | 3.14660 | − | 4.12337i | 0.132731 | − | 0.173934i | ||||
\(563\) | 17.1924 | + | 5.21526i | 0.724573 | + | 0.219797i | 0.630964 | − | 0.775812i | \(-0.282660\pi\) |
0.0936092 | + | 0.995609i | \(0.470160\pi\) | |||||||
\(564\) | −15.5181 | − | 40.5754i | −0.653432 | − | 1.70853i | ||||
\(565\) | 1.79808 | − | 18.2562i | 0.0756457 | − | 0.768044i | ||||
\(566\) | −18.8097 | − | 3.05418i | −0.790631 | − | 0.128377i | ||||
\(567\) | −32.5472 | + | 6.47403i | −1.36685 | + | 0.271884i | ||||
\(568\) | 21.1119 | + | 20.7780i | 0.885835 | + | 0.871825i | ||||
\(569\) | 3.14180 | − | 15.7949i | 0.131711 | − | 0.662157i | −0.857360 | − | 0.514718i | \(-0.827897\pi\) |
0.989071 | − | 0.147440i | \(-0.0471032\pi\) | |||||||
\(570\) | 6.53721 | + | 14.3265i | 0.273813 | + | 0.600073i | ||||
\(571\) | −2.06094 | − | 6.79402i | −0.0862478 | − | 0.284321i | 0.903198 | − | 0.429224i | \(-0.141213\pi\) |
−0.989446 | + | 0.144903i | \(0.953713\pi\) | |||||||
\(572\) | 2.98328 | + | 10.9017i | 0.124737 | + | 0.455824i | ||||
\(573\) | 0.536988 | + | 0.440695i | 0.0224330 | + | 0.0184103i | ||||
\(574\) | 56.2147 | + | 27.5366i | 2.34636 | + | 1.14936i | ||||
\(575\) | − | 4.77058i | − | 0.198947i | ||||||
\(576\) | −22.0772 | + | 15.2661i | −0.919885 | + | 0.636089i | ||||
\(577\) | − | 24.4685i | − | 1.01864i | −0.860579 | − | 0.509318i | \(-0.829898\pi\) | ||
0.860579 | − | 0.509318i | \(-0.170102\pi\) | |||||||
\(578\) | −3.52240 | + | 7.19082i | −0.146513 | + | 0.299099i | ||||
\(579\) | 51.0543 | + | 41.8992i | 2.12174 | + | 1.74127i | ||||
\(580\) | −14.1695 | − | 8.08066i | −0.588355 | − | 0.335531i | ||||
\(581\) | −9.41085 | − | 31.0234i | −0.390428 | − | 1.28707i | ||||
\(582\) | −22.5009 | + | 10.2671i | −0.932691 | + | 0.425587i | ||||
\(583\) | −2.15416 | + | 10.8297i | −0.0892163 | + | 0.448521i | ||||
\(584\) | −12.4458 | + | 30.7375i | −0.515010 | + | 1.27193i | ||||
\(585\) | 12.6764 | − | 2.52150i | 0.524106 | − | 0.104251i | ||||
\(586\) | −5.74314 | + | 35.3702i | −0.237247 | + | 1.46113i | ||||
\(587\) | −0.942516 | + | 9.56952i | −0.0389018 | + | 0.394976i | 0.955942 | + | 0.293556i | \(0.0948387\pi\) |
−0.994844 | + | 0.101420i | \(0.967661\pi\) | |||||||
\(588\) | −22.7474 | + | 50.9227i | −0.938088 | + | 2.10002i | ||||
\(589\) | −0.215767 | − | 0.0654523i | −0.00889054 | − | 0.00269692i | ||||
\(590\) | −2.23966 | − | 1.70912i | −0.0922053 | − | 0.0703632i | ||||
\(591\) | 26.0151 | + | 10.7758i | 1.07012 | + | 0.443258i | ||||
\(592\) | 7.17044 | + | 6.57421i | 0.294703 | + | 0.270198i | ||||
\(593\) | −21.1904 | + | 8.77734i | −0.870184 | + | 0.360442i | −0.772682 | − | 0.634793i | \(-0.781085\pi\) |
−0.0975019 | + | 0.995235i | \(0.531085\pi\) | |||||||
\(594\) | −1.79559 | − | 0.476017i | −0.0736739 | − | 0.0195312i | ||||
\(595\) | −9.53709 | − | 17.8426i | −0.390983 | − | 0.731477i | ||||
\(596\) | 1.07051 | − | 4.70406i | 0.0438498 | − | 0.192686i | ||||
\(597\) | 40.2557 | + | 49.0517i | 1.64755 | + | 2.00755i | ||||
\(598\) | −22.1066 | − | 13.6654i | −0.904004 | − | 0.558821i | ||||
\(599\) | −39.9278 | − | 26.6789i | −1.63141 | − | 1.09007i | −0.923383 | − | 0.383880i | \(-0.874588\pi\) |
−0.708022 | − | 0.706190i | \(-0.750412\pi\) | |||||||
\(600\) | 5.54769 | + | 4.47935i | 0.226483 | + | 0.182869i | ||||
\(601\) | 10.1590 | + | 15.2040i | 0.414394 | + | 0.620184i | 0.978679 | − | 0.205396i | \(-0.0658482\pi\) |
−0.564285 | + | 0.825580i | \(0.690848\pi\) | |||||||
\(602\) | 9.68562 | + | 9.02339i | 0.394756 | + | 0.367766i | ||||
\(603\) | −13.0311 | + | 24.3795i | −0.530668 | + | 0.992811i | ||||
\(604\) | −1.30862 | − | 18.4620i | −0.0532470 | − | 0.751207i | ||||
\(605\) | 8.80524 | − | 0.867240i | 0.357984 | − | 0.0352583i | ||||
\(606\) | −15.1411 | + | 13.3497i | −0.615065 | + | 0.542295i | ||||
\(607\) | 18.7121 | − | 18.7121i | 0.759500 | − | 0.759500i | −0.216731 | − | 0.976231i | \(-0.569540\pi\) |
0.976231 | + | 0.216731i | \(0.0695396\pi\) | |||||||
\(608\) | 13.4754 | + | 21.0416i | 0.546499 | + | 0.853350i | ||||
\(609\) | 61.7871 | + | 61.7871i | 2.50374 | + | 2.50374i | ||||
\(610\) | −12.7455 | − | 0.801381i | −0.516049 | − | 0.0324470i | ||||
\(611\) | 3.25329 | + | 33.0312i | 0.131614 | + | 1.33630i | ||||
\(612\) | −10.1073 | + | 30.3032i | −0.408563 | + | 1.22493i | ||||
\(613\) | −0.589060 | − | 0.314859i | −0.0237919 | − | 0.0127170i | 0.459458 | − | 0.888200i | \(-0.348044\pi\) |
−0.483250 | + | 0.875483i | \(0.660544\pi\) | |||||||
\(614\) | −42.7145 | + | 1.51195i | −1.72382 | + | 0.0610172i | ||||
\(615\) | −21.8306 | + | 14.5868i | −0.880296 | + | 0.588195i | ||||
\(616\) | 13.5420 | − | 11.2955i | 0.545625 | − | 0.455109i | ||||
\(617\) | −22.3084 | + | 33.3869i | −0.898103 | + | 1.34411i | 0.0405256 | + | 0.999178i | \(0.487097\pi\) |
−0.938629 | + | 0.344928i | \(0.887903\pi\) | |||||||
\(618\) | 7.51724 | + | 31.8567i | 0.302388 | + | 1.28146i | ||||
\(619\) | 24.7908 | − | 20.3453i | 0.996426 | − | 0.817746i | 0.0131587 | − | 0.999913i | \(-0.495811\pi\) |
0.983268 | + | 0.182168i | \(0.0583113\pi\) | |||||||
\(620\) | −0.100640 | + | 0.0171655i | −0.00404179 | + | 0.000689385i | ||||
\(621\) | 3.76707 | − | 2.01354i | 0.151167 | − | 0.0808007i | ||||
\(622\) | −15.7337 | + | 9.13968i | −0.630864 | + | 0.366468i | ||||
\(623\) | 21.1470 | + | 51.0533i | 0.847236 | + | 2.04541i | ||||
\(624\) | 36.6485 | − | 12.8764i | 1.46711 | − | 0.515470i | ||||
\(625\) | 0.382683 | − | 0.923880i | 0.0153073 | − | 0.0369552i | ||||
\(626\) | −2.80864 | − | 20.9044i | −0.112256 | − | 0.835508i | ||||
\(627\) | −4.74197 | + | 15.6322i | −0.189376 | + | 0.624289i | ||||
\(628\) | 13.4384 | + | 14.1961i | 0.536251 | + | 0.566486i | ||||
\(629\) | 11.5218 | + | 1.13480i | 0.459403 | + | 0.0452472i | ||||
\(630\) | −11.7895 | − | 16.3603i | −0.469705 | − | 0.651808i | ||||
\(631\) | −0.705339 | − | 3.54598i | −0.0280791 | − | 0.141163i | 0.964203 | − | 0.265166i | \(-0.0854268\pi\) |
−0.992282 | + | 0.124003i | \(0.960427\pi\) | |||||||
\(632\) | −4.01536 | + | 2.72952i | −0.159722 | + | 0.108574i | ||||
\(633\) | −8.35210 | − | 1.66134i | −0.331966 | − | 0.0660322i | ||||
\(634\) | −26.4191 | − | 9.86337i | −1.04923 | − | 0.391725i | ||||
\(635\) | −2.99151 | + | 0.907464i | −0.118714 | + | 0.0360116i | ||||
\(636\) | 37.6500 | + | 4.75333i | 1.49292 | + | 0.188482i | ||||
\(637\) | 27.0330 | − | 32.9398i | 1.07108 | − | 1.30512i | ||||
\(638\) | −5.48156 | − | 16.0083i | −0.217017 | − | 0.633775i | ||||
\(639\) | 35.1381 | 1.39004 | ||||||||
\(640\) | 9.71707 | + | 5.79470i | 0.384101 | + | 0.229056i | ||||
\(641\) | −17.1638 | −0.677931 | −0.338966 | − | 0.940799i | \(-0.610077\pi\) | ||||
−0.338966 | + | 0.940799i | \(0.610077\pi\) | |||||||
\(642\) | 17.7218 | + | 51.7547i | 0.699426 | + | 2.04260i | ||||
\(643\) | −16.9245 | + | 20.6226i | −0.667439 | + | 0.813276i | −0.991131 | − | 0.132886i | \(-0.957576\pi\) |
0.323693 | + | 0.946162i | \(0.395076\pi\) | |||||||
\(644\) | −5.07903 | + | 40.2298i | −0.200142 | + | 1.58528i | ||||
\(645\) | −5.31325 | + | 1.61176i | −0.209209 | + | 0.0634629i | ||||
\(646\) | 27.8588 | + | 10.4009i | 1.09609 | + | 0.409218i | ||||
\(647\) | 36.9102 | + | 7.34189i | 1.45109 | + | 0.288639i | 0.856815 | − | 0.515624i | \(-0.172440\pi\) |
0.594273 | + | 0.804263i | \(0.297440\pi\) | |||||||
\(648\) | 4.13584 | − | 21.6946i | 0.162471 | − | 0.852244i | ||||
\(649\) | −0.570152 | − | 2.86635i | −0.0223804 | − | 0.112514i | ||||
\(650\) | −3.18499 | − | 4.41980i | −0.124926 | − | 0.173359i | ||||
\(651\) | 0.544271 | + | 0.0536060i | 0.0213317 | + | 0.00210099i | ||||
\(652\) | 22.9804 | − | 21.7539i | 0.899983 | − | 0.851949i | ||||
\(653\) | −4.48185 | + | 14.7747i | −0.175388 | + | 0.578177i | 0.824535 | + | 0.565810i | \(0.191437\pi\) |
−0.999924 | + | 0.0123669i | \(0.996063\pi\) | |||||||
\(654\) | 7.30720 | + | 54.3867i | 0.285734 | + | 2.12669i | ||||
\(655\) | 3.83240 | − | 9.25224i | 0.149744 | − | 0.361515i | ||||
\(656\) | −31.0278 | + | 27.7995i | −1.21143 | + | 1.08539i | ||||
\(657\) | 15.0537 | + | 36.3430i | 0.587302 | + | 1.41787i | ||||
\(658\) | 44.7786 | − | 26.0118i | 1.74565 | − | 1.01405i | ||||
\(659\) | 5.75768 | − | 3.07754i | 0.224287 | − | 0.119884i | −0.355426 | − | 0.934704i | \(-0.615664\pi\) |
0.579714 | + | 0.814820i | \(0.303164\pi\) | |||||||
\(660\) | 1.24363 | + | 7.29128i | 0.0484083 | + | 0.283813i | ||||
\(661\) | 15.4902 | − | 12.7125i | 0.602500 | − | 0.494459i | −0.282987 | − | 0.959124i | \(-0.591325\pi\) |
0.885487 | + | 0.464665i | \(0.153825\pi\) | |||||||
\(662\) | −2.85655 | − | 12.1055i | −0.111023 | − | 0.470495i | ||||
\(663\) | 25.6838 | − | 38.4386i | 0.997478 | − | 1.49283i | ||||
\(664\) | 21.4882 | + | 1.94360i | 0.833903 | + | 0.0754263i | ||||
\(665\) | −15.6085 | + | 10.4293i | −0.605271 | + | 0.404429i | ||||
\(666\) | 11.5325 | − | 0.408212i | 0.446877 | − | 0.0158179i | ||||
\(667\) | 34.3138 | + | 18.3411i | 1.32864 | + | 0.710171i | ||||
\(668\) | 7.54837 | + | 2.51767i | 0.292055 | + | 0.0974117i | ||||
\(669\) | −1.83913 | − | 18.6730i | −0.0711048 | − | 0.721939i | ||||
\(670\) | 11.6289 | + | 0.731175i | 0.449264 | + | 0.0282477i | ||||
\(671\) | −9.36743 | − | 9.36743i | −0.361626 | − | 0.361626i | ||||
\(672\) | −42.0141 | − | 43.6803i | −1.62073 | − | 1.68500i | ||||
\(673\) | −8.32819 | + | 8.32819i | −0.321028 | + | 0.321028i | −0.849161 | − | 0.528133i | \(-0.822892\pi\) |
0.528133 | + | 0.849161i | \(0.322892\pi\) | |||||||
\(674\) | 4.17598 | − | 3.68191i | 0.160853 | − | 0.141822i | ||||
\(675\) | 0.891060 | − | 0.0877617i | 0.0342969 | − | 0.00337795i | ||||
\(676\) | −3.66966 | + | 0.260112i | −0.141141 | + | 0.0100043i | ||||
\(677\) | −9.00547 | + | 16.8481i | −0.346108 | + | 0.647523i | −0.993398 | − | 0.114721i | \(-0.963403\pi\) |
0.647289 | + | 0.762244i | \(0.275903\pi\) | |||||||
\(678\) | −47.8526 | − | 44.5807i | −1.83777 | − | 1.71211i | ||||
\(679\) | −16.3799 | − | 24.5143i | −0.628603 | − | 0.940771i | ||||
\(680\) | 13.3888 | − | 1.42652i | 0.513438 | − | 0.0547046i | ||||
\(681\) | 47.7561 | + | 31.9096i | 1.83002 | + | 1.22278i | ||||
\(682\) | −0.0900836 | − | 0.0556863i | −0.00344948 | − | 0.00213234i | ||||
\(683\) | 2.42174 | + | 2.95090i | 0.0926652 | + | 0.112913i | 0.817279 | − | 0.576243i | \(-0.195482\pi\) |
−0.724613 | + | 0.689156i | \(0.757982\pi\) | |||||||
\(684\) | 28.9011 | + | 6.57707i | 1.10506 | + | 0.251481i | ||||
\(685\) | 5.57407 | + | 10.4284i | 0.212974 | + | 0.398447i | ||||
\(686\) | −23.5976 | − | 6.25580i | −0.900959 | − | 0.238847i | ||||
\(687\) | 35.1119 | − | 14.5438i | 1.33960 | − | 0.554881i | ||||
\(688\) | −7.98554 | + | 3.72099i | −0.304446 | + | 0.141861i | ||||
\(689\) | −26.7873 | − | 11.0957i | −1.02052 | − | 0.422712i | ||||
\(690\) | −13.5207 | − | 10.3178i | −0.514724 | − | 0.392793i | ||||
\(691\) | 27.0269 | + | 8.19852i | 1.02815 | + | 0.311886i | 0.758916 | − | 0.651188i | \(-0.225729\pi\) |
0.269235 | + | 0.963074i | \(0.413229\pi\) | |||||||
\(692\) | 27.2555 | + | 12.1752i | 1.03610 | + | 0.462831i | ||||
\(693\) | 2.05038 | − | 20.8179i | 0.0778876 | − | 0.790806i | ||||
\(694\) | −3.74474 | + | 23.0626i | −0.142148 | + | 0.875446i | ||||
\(695\) | 5.93254 | − | 1.18006i | 0.225034 | − | 0.0447621i | ||||
\(696\) | −53.5479 | + | 22.6820i | −2.02973 | + | 0.859758i | ||||
\(697\) | −9.67254 | + | 48.6272i | −0.366374 | + | 1.84188i | ||||
\(698\) | 23.5973 | − | 10.7675i | 0.893173 | − | 0.407555i | ||||
\(699\) | −8.63064 | − | 28.4514i | −0.326441 | − | 1.07613i | ||||
\(700\) | −4.21075 | + | 7.38356i | −0.159151 | + | 0.279072i | ||||
\(701\) | 16.7287 | + | 13.7289i | 0.631836 | + | 0.518534i | 0.894913 | − | 0.446240i | \(-0.147237\pi\) |
−0.263077 | + | 0.964775i | \(0.584737\pi\) | |||||||
\(702\) | 2.14578 | − | 4.38051i | 0.0809872 | − | 0.165332i | ||||
\(703\) | − | 10.7424i | − | 0.405157i | ||||||
\(704\) | 3.58543 | + | 11.1751i | 0.135131 | + | 0.421178i | ||||
\(705\) | 21.7208i | 0.818053i | ||||||||
\(706\) | 45.5476 | + | 22.3114i | 1.71421 | + | 0.839699i | ||||
\(707\) | −18.6009 | − | 15.2654i | −0.699559 | − | 0.574113i | ||||
\(708\) | −9.68790 | + | 2.65112i | −0.364094 | + | 0.0996352i | ||||
\(709\) | 0.410502 | + | 1.35324i | 0.0154167 | + | 0.0508221i | 0.964311 | − | 0.264771i | \(-0.0852965\pi\) |
−0.948895 | + | 0.315593i | \(0.897796\pi\) | |||||||
\(710\) | −6.14833 | − | 13.4743i | −0.230743 | − | 0.505682i | ||||
\(711\) | −1.12361 | + | 5.64878i | −0.0421388 | + | 0.211846i | ||||
\(712\) | −36.7756 | + | 0.293128i | −1.37822 | + | 0.0109854i | ||||
\(713\) | 0.238843 | − | 0.0475088i | 0.00894473 | − | 0.00177922i | ||||
\(714\) | −71.1962 | − | 11.5603i | −2.66445 | − | 0.432634i | ||||
\(715\) | 0.553921 | − | 5.62406i | 0.0207155 | − | 0.210328i | ||||
\(716\) | 10.1306 | − | 3.87446i | 0.378597 | − | 0.144795i | ||||
\(717\) | 45.2586 | + | 13.7290i | 1.69021 | + | 0.512720i | ||||
\(718\) | 21.8861 | − | 28.6800i | 0.816783 | − | 1.07033i | ||||
\(719\) | −28.4673 | − | 11.7915i | −1.06165 | − | 0.439750i | −0.217614 | − | 0.976035i | \(-0.569827\pi\) |
−0.844037 | + | 0.536284i | \(0.819827\pi\) | |||||||
\(720\) | 13.0370 | − | 3.18625i | 0.485859 | − | 0.118744i | ||||
\(721\) | −36.0483 | + | 14.9317i | −1.34251 | + | 0.556085i | ||||
\(722\) | 0.184994 | − | 0.697817i | 0.00688475 | − | 0.0259701i | ||||
\(723\) | 12.4206 | + | 23.2373i | 0.461927 | + | 0.864204i | ||||
\(724\) | −23.3815 | − | 37.1588i | −0.868967 | − | 1.38099i | ||||
\(725\) | 5.17401 | + | 6.30455i | 0.192158 | + | 0.234145i | ||||
\(726\) | 16.5861 | − | 26.8313i | 0.615568 | − | 0.995805i | ||||
\(727\) | 18.3237 | + | 12.2435i | 0.679589 | + | 0.454087i | 0.846854 | − | 0.531825i | \(-0.178494\pi\) |
−0.167265 | + | 0.985912i | \(0.553494\pi\) | |||||||
\(728\) | 22.1532 | + | 40.6627i | 0.821050 | + | 1.50706i | ||||
\(729\) | −18.3171 | − | 27.4134i | −0.678410 | − | 1.01531i | ||||
\(730\) | 11.3023 | − | 12.1318i | 0.418317 | − | 0.449018i | ||||
\(731\) | −4.94250 | + | 9.24678i | −0.182805 | + | 0.342004i | ||||
\(732\) | −29.8373 | + | 34.3898i | −1.10282 | + | 1.27108i | ||||
\(733\) | 11.7722 | − | 1.15946i | 0.434814 | − | 0.0428255i | 0.121757 | − | 0.992560i | \(-0.461147\pi\) |
0.313057 | + | 0.949734i | \(0.398647\pi\) | |||||||
\(734\) | −17.5511 | − | 19.9062i | −0.647822 | − | 0.734752i | ||||
\(735\) | 19.7186 | − | 19.7186i | 0.727330 | − | 0.727330i | ||||
\(736\) | −23.5481 | − | 13.1816i | −0.867996 | − | 0.485880i | ||||
\(737\) | 8.54678 | + | 8.54678i | 0.314825 | + | 0.314825i | ||||
\(738\) | −3.10107 | + | 49.3207i | −0.114152 | + | 1.81552i | ||||
\(739\) | 0.00984352 | + | 0.0999429i | 0.000362100 | + | 0.00367646i | 0.995364 | − | 0.0961787i | \(-0.0306620\pi\) |
−0.995002 | + | 0.0998552i | \(0.968162\pi\) | |||||||
\(740\) | −2.17446 | − | 4.35093i | −0.0799347 | − | 0.159943i | ||||
\(741\) | −37.8300 | − | 20.2205i | −1.38972 | − | 0.742820i | ||||
\(742\) | 1.60026 | + | 45.2095i | 0.0587474 | + | 1.65969i | ||||
\(743\) | −13.2206 | + | 8.83374i | −0.485018 | + | 0.324078i | −0.773924 | − | 0.633279i | \(-0.781709\pi\) |
0.288906 | + | 0.957358i | \(0.406709\pi\) | |||||||
\(744\) | −0.169014 | + | 0.322358i | −0.00619637 | + | 0.0118182i | ||||
\(745\) | −1.34013 | + | 2.00564i | −0.0490985 | + | 0.0734811i | ||||
\(746\) | 26.0004 | − | 6.13532i | 0.951941 | − | 0.224630i | ||||
\(747\) | 19.7845 | − | 16.2367i | 0.723875 | − | 0.594069i | ||||
\(748\) | 11.3964 | + | 8.07526i | 0.416695 | + | 0.295261i | ||||
\(749\) | −57.5118 | + | 30.7407i | −2.10144 | + | 1.12324i | ||||
\(750\) | −1.79078 | − | 3.08277i | −0.0653899 | − | 0.112567i | ||||
\(751\) | −1.57663 | − | 3.80633i | −0.0575321 | − | 0.138895i | 0.892500 | − | 0.451048i | \(-0.148950\pi\) |
−0.950032 | + | 0.312153i | \(0.898950\pi\) | |||||||
\(752\) | 4.86140 | + | 34.1199i | 0.177277 | + | 1.24423i | ||||
\(753\) | −6.43085 | + | 15.5254i | −0.234353 | + | 0.565779i | ||||
\(754\) | 44.0359 | − | 5.91651i | 1.60369 | − | 0.215467i | ||||
\(755\) | −2.68634 | + | 8.85567i | −0.0977659 | + | 0.322291i | ||||
\(756\) | −7.60765 | − | 0.208587i | −0.276688 | − | 0.00758625i | ||||
\(757\) | −23.0753 | − | 2.27272i | −0.838687 | − | 0.0826034i | −0.330453 | − | 0.943822i | \(-0.607201\pi\) |
−0.508234 | + | 0.861219i | \(0.669701\pi\) | |||||||
\(758\) | −19.9495 | + | 14.3760i | −0.724600 | + | 0.522160i | ||||
\(759\) | −3.44197 | − | 17.3040i | −0.124936 | − | 0.628094i | ||||
\(760\) | −2.53492 | − | 12.2335i | −0.0919512 | − | 0.443755i | ||||
\(761\) | −40.0224 | − | 7.96095i | −1.45081 | − | 0.288584i | −0.594105 | − | 0.804388i | \(-0.702493\pi\) |
−0.856707 | + | 0.515803i | \(0.827493\pi\) | |||||||
\(762\) | −3.89814 | + | 10.4412i | −0.141215 | + | 0.378243i | ||||
\(763\) | −62.5986 | + | 18.9891i | −2.26622 | + | 0.687451i | ||||
\(764\) | −0.337819 | − | 0.435444i | −0.0122219 | − | 0.0157538i | ||||
\(765\) | 10.1326 | − | 12.3466i | 0.366346 | − | 0.446394i | ||||
\(766\) | −26.1890 | + | 8.96764i | −0.946248 | + | 0.324014i | ||||
\(767\) | 7.67407 | 0.277095 | ||||||||
\(768\) | 37.4394 | − | 15.0072i | 1.35098 | − | 0.541524i | ||||
\(769\) | 0.976753 | 0.0352226 | 0.0176113 | − | 0.999845i | \(-0.494394\pi\) | ||||
0.0176113 | + | 0.999845i | \(0.494394\pi\) | |||||||
\(770\) | −8.34176 | + | 2.85638i | −0.300616 | + | 0.102937i | ||||
\(771\) | 18.1418 | − | 22.1059i | 0.653363 | − | 0.796125i | ||||
\(772\) | −32.1182 | − | 41.3999i | −1.15596 | − | 1.49001i | ||||
\(773\) | 23.2152 | − | 7.04224i | 0.834991 | − | 0.253292i | 0.156294 | − | 0.987711i | \(-0.450045\pi\) |
0.678697 | + | 0.734419i | \(0.262545\pi\) | |||||||
\(774\) | −3.65523 | + | 9.79054i | −0.131385 | + | 0.351914i | ||||
\(775\) | 0.0500658 | + | 0.00995871i | 0.00179842 | + | 0.000357727i | ||||
\(776\) | 19.2136 | − | 3.98127i | 0.689726 | − | 0.142919i | ||||
\(777\) | 5.08331 | + | 25.5555i | 0.182363 | + | 0.916800i | ||||
\(778\) | −2.26253 | + | 1.63042i | −0.0811155 | + | 0.0584533i | ||||
\(779\) | 45.7819 | + | 4.50912i | 1.64031 | + | 0.161556i | ||||
\(780\) | −19.4151 | − | 0.532324i | −0.695171 | − | 0.0190603i | ||||
\(781\) | 4.45989 | − | 14.7023i | 0.159587 | − | 0.526089i | ||||
\(782\) | −31.8310 | + | 4.27669i | −1.13827 | + | 0.152934i | ||||
\(783\) | −2.79455 | + | 6.74663i | −0.0998690 | + | 0.241105i | ||||
\(784\) | 26.5614 | − | 35.3880i | 0.948623 | − | 1.26386i | ||||
\(785\) | −3.74033 | − | 9.02995i | −0.133498 | − | 0.322293i | ||||
\(786\) | −17.9338 | − | 30.8725i | −0.639678 | − | 1.10119i | ||||
\(787\) | 16.2715 | − | 8.69731i | 0.580017 | − | 0.310026i | −0.155172 | − | 0.987887i | \(-0.549593\pi\) |
0.735189 | + | 0.677862i | \(0.237093\pi\) | |||||||
\(788\) | −18.2276 | − | 12.9157i | −0.649332 | − | 0.460102i | ||||
\(789\) | −25.5930 | + | 21.0036i | −0.911136 | + | 0.747750i | ||||
\(790\) | 2.36273 | − | 0.557535i | 0.0840622 | − | 0.0198362i | ||||
\(791\) | 43.3138 | − | 64.8237i | 1.54006 | − | 2.30486i | ||||
\(792\) | 12.3299 | + | 6.46465i | 0.438124 | + | 0.229711i | ||||
\(793\) | 28.9236 | − | 19.3262i | 1.02711 | − | 0.686292i | ||||
\(794\) | −0.953093 | − | 26.9261i | −0.0338240 | − | 0.955573i | ||||
\(795\) | −16.7340 | − | 8.94450i | −0.593493 | − | 0.317229i | ||||
\(796\) | −22.5055 | − | 45.0319i | −0.797687 | − | 1.59611i | ||||
\(797\) | 1.41780 | + | 14.3952i | 0.0502211 | + | 0.509904i | 0.987084 | + | 0.160206i | \(0.0512158\pi\) |
−0.936863 | + | 0.349698i | \(0.886284\pi\) | |||||||
\(798\) | −4.19971 | + | 66.7939i | −0.148668 | + | 2.36448i | ||||
\(799\) | 29.0032 | + | 29.0032i | 1.02606 | + | 1.02606i | ||||
\(800\) | −3.50299 | − | 4.44174i | −0.123849 | − | 0.157039i | ||||
\(801\) | −30.8481 | + | 30.8481i | −1.08996 | + | 1.08996i | ||||
\(802\) | −2.47651 | − | 2.80883i | −0.0874487 | − | 0.0991833i | ||||
\(803\) | 17.1171 | − | 1.68589i | 0.604050 | − | 0.0594938i | ||||
\(804\) | 27.2234 | − | 31.3771i | 0.960094 | − | 1.10658i | ||||
\(805\) | 9.55737 | − | 17.8806i | 0.336853 | − | 0.630207i | ||||
\(806\) | 0.189563 | − | 0.203475i | 0.00667706 | − | 0.00716709i | ||||
\(807\) | −41.4344 | − | 62.0110i | −1.45856 | − | 2.18289i | ||||
\(808\) | 14.0629 | − | 7.66151i | 0.494731 | − | 0.269531i | ||||
\(809\) | 35.7917 | + | 23.9152i | 1.25837 | + | 0.840814i | 0.992386 | − | 0.123164i | \(-0.0393041\pi\) |
0.265981 | + | 0.963978i | \(0.414304\pi\) | |||||||
\(810\) | −5.80633 | + | 9.39290i | −0.204014 | + | 0.330033i | ||||
\(811\) | −21.3424 | − | 26.0058i | −0.749432 | − | 0.913186i | 0.249037 | − | 0.968494i | \(-0.419886\pi\) |
−0.998469 | + | 0.0553079i | \(0.982386\pi\) | |||||||
\(812\) | −36.9197 | − | 58.6742i | −1.29563 | − | 2.05906i | ||||
\(813\) | 17.6611 | + | 33.0417i | 0.619403 | + | 1.15882i | ||||
\(814\) | 1.29296 | − | 4.87720i | 0.0453183 | − | 0.170946i | ||||
\(815\) | −14.6176 | + | 6.05479i | −0.512031 | + | 0.212090i | ||||
\(816\) | 24.9144 | − | 41.0317i | 0.872179 | − | 1.43640i | ||||
\(817\) | 8.98796 | + | 3.72294i | 0.314449 | + | 0.130249i | ||||
\(818\) | 29.8915 | − | 39.1704i | 1.04513 | − | 1.36956i | ||||
\(819\) | 52.5641 | + | 15.9451i | 1.83674 | + | 0.557168i | ||||
\(820\) | 19.4555 | − | 7.44080i | 0.679416 | − | 0.259844i | ||||
\(821\) | −2.47317 | + | 25.1105i | −0.0863142 | + | 0.876362i | 0.850370 | + | 0.526186i | \(0.176378\pi\) |
−0.936684 | + | 0.350176i | \(0.886122\pi\) | |||||||
\(822\) | 41.6116 | + | 6.75658i | 1.45137 | + | 0.235663i | ||||
\(823\) | 9.78018 | − | 1.94540i | 0.340916 | − | 0.0678123i | −0.0216635 | − | 0.999765i | \(-0.506896\pi\) |
0.362579 | + | 0.931953i | \(0.381896\pi\) | |||||||
\(824\) | −0.206975 | − | 25.9669i | −0.00721031 | − | 0.904600i | ||||
\(825\) | 0.721501 | − | 3.62723i | 0.0251194 | − | 0.126284i | ||||
\(826\) | −4.97041 | − | 10.8929i | −0.172943 | − | 0.379011i | ||||
\(827\) | 0.0736363 | + | 0.242746i | 0.00256059 | + | 0.00844112i | 0.958211 | − | 0.286061i | \(-0.0923461\pi\) |
−0.955651 | + | 0.294502i | \(0.904846\pi\) | |||||||
\(828\) | −30.8770 | + | 8.44956i | −1.07305 | + | 0.293643i | ||||
\(829\) | −7.09887 | − | 5.82589i | −0.246554 | − | 0.202342i | 0.502997 | − | 0.864288i | \(-0.332231\pi\) |
−0.749551 | + | 0.661946i | \(0.769731\pi\) | |||||||
\(830\) | −9.68806 | − | 4.74567i | −0.336277 | − | 0.164724i | ||||
\(831\) | − | 71.2254i | − | 2.47078i | ||||||
\(832\) | −30.6171 | + | 3.50915i | −1.06146 | + | 0.121658i | ||||
\(833\) | − | 52.6593i | − | 1.82454i | ||||||
\(834\) | 9.48645 | − | 19.3662i | 0.328489 | − | 0.670596i | ||||
\(835\) | −3.07549 | − | 2.52399i | −0.106432 | − | 0.0873462i | ||||
\(836\) | 6.42021 | − | 11.2579i | 0.222048 | − | 0.389361i | ||||
\(837\) | 0.0132677 | + | 0.0437376i | 0.000458598 | + | 0.00151179i | ||||
\(838\) | −5.69241 | + | 2.59745i | −0.196641 | + | 0.0897274i | ||||
\(839\) | 10.0768 | − | 50.6594i | 0.347889 | − | 1.74896i | −0.270160 | − | 0.962815i | \(-0.587077\pi\) |
0.618049 | − | 0.786140i | \(-0.287923\pi\) | |||||||
\(840\) | 11.8193 | + | 27.9032i | 0.407806 | + | 0.962753i | ||||
\(841\) | −36.7968 | + | 7.31934i | −1.26886 | + | 0.252391i | ||||
\(842\) | −8.63051 | + | 53.1525i | −0.297427 | + | 1.83176i | ||||
\(843\) | −0.906260 | + | 9.20142i | −0.0312133 | + | 0.316914i | ||||
\(844\) | 6.16850 | + | 2.75550i | 0.212329 | + | 0.0948482i | ||||
\(845\) | 1.76023 | + | 0.533959i | 0.0605536 | + | 0.0183687i | ||||
\(846\) | 32.5006 | + | 24.8017i | 1.11739 | + | 0.852700i | ||||
\(847\) | 34.7403 | + | 14.3899i | 1.19369 | + | 0.494443i | ||||
\(848\) | −28.2883 | − | 10.3051i | −0.971424 | − | 0.353879i | ||||
\(849\) | 31.3832 | − | 12.9993i | 1.07707 | − | 0.446136i | ||||
\(850\) | −6.50751 | − | 1.72516i | −0.223206 | − | 0.0591727i | ||||
\(851\) | 5.46921 | + | 10.2322i | 0.187482 | + | 0.350754i | ||||
\(852\) | −51.4864 | − | 11.7168i | −1.76389 | − | 0.401412i | ||||
\(853\) | 1.27424 | + | 1.55267i | 0.0436292 | + | 0.0531624i | 0.794368 | − | 0.607437i | \(-0.207802\pi\) |
−0.750739 | + | 0.660599i | \(0.770302\pi\) | |||||||
\(854\) | −46.1658 | − | 28.5379i | −1.57976 | − | 0.976548i | ||||
\(855\) | −12.3224 | − | 8.23356i | −0.421417 | − | 0.281582i | ||||
\(856\) | −4.59808 | − | 43.1559i | −0.157159 | − | 1.47504i | ||||
\(857\) | 0.858339 | + | 1.28460i | 0.0293203 | + | 0.0438809i | 0.845840 | − | 0.533436i | \(-0.179100\pi\) |
−0.816520 | + | 0.577317i | \(0.804100\pi\) | |||||||
\(858\) | −14.7416 | − | 13.7337i | −0.503270 | − | 0.468860i | ||||
\(859\) | −26.9710 | + | 50.4592i | −0.920238 | + | 1.72164i | −0.268363 | + | 0.963318i | \(0.586483\pi\) |
−0.651875 | + | 0.758326i | \(0.726017\pi\) | |||||||
\(860\) | 4.39393 | − | 0.311450i | 0.149832 | − | 0.0106204i | ||||
\(861\) | −111.046 | + | 10.9371i | −3.78445 | + | 0.372736i | ||||
\(862\) | −10.5161 | + | 9.27194i | −0.358181 | + | 0.315803i | ||||
\(863\) | −31.1595 | + | 31.1595i | −1.06068 | + | 1.06068i | −0.0626447 | + | 0.998036i | \(0.519953\pi\) |
−0.998036 | + | 0.0626447i | \(0.980047\pi\) | |||||||
\(864\) | 2.02889 | − | 4.64087i | 0.0690241 | − | 0.157886i | ||||
\(865\) | −10.5540 | − | 10.5540i | −0.358847 | − | 0.358847i | ||||
\(866\) | 6.02995 | + | 0.379137i | 0.204906 | + | 0.0128836i | ||||
\(867\) | −1.39904 | − | 14.2047i | −0.0475140 | − | 0.482418i | ||||
\(868\) | −0.411597 | − | 0.137284i | −0.0139705 | − | 0.00465971i | ||||
\(869\) | 2.22092 | + | 1.18711i | 0.0753396 | + | 0.0402699i | ||||
\(870\) | 29.0586 | − | 1.02858i | 0.985180 | − | 0.0348720i | ||||
\(871\) | −26.3898 | + | 17.6331i | −0.894183 | + | 0.597474i | ||||
\(872\) | 3.92177 | − | 43.3585i | 0.132808 | − | 1.46831i | ||||
\(873\) | 12.9314 | − | 19.3532i | 0.437662 | − | 0.655007i | ||||
\(874\) | 6.84401 | + | 29.0037i | 0.231502 | + | 0.981065i | ||||
\(875\) | 3.28523 | − | 2.69612i | 0.111061 | − | 0.0911455i | ||||
\(876\) | −9.93903 | − | 58.2715i | −0.335809 | − | 1.96881i | ||||
\(877\) | −40.3414 | + | 21.5630i | −1.36223 | + | 0.728129i | −0.980570 | − | 0.196172i | \(-0.937149\pi\) |
−0.381664 | + | 0.924301i | \(0.624649\pi\) | |||||||
\(878\) | 39.3441 | − | 22.8549i | 1.32780 | − | 0.771316i | ||||
\(879\) | −24.4442 | − | 59.0136i | −0.824483 | − | 1.99048i | ||||
\(880\) | 0.321542 | − | 5.85928i | 0.0108392 | − | 0.197516i | ||||
\(881\) | −13.4379 | + | 32.4419i | −0.452733 | + | 1.09299i | 0.518546 | + | 0.855050i | \(0.326474\pi\) |
−0.971279 | + | 0.237944i | \(0.923526\pi\) | |||||||
\(882\) | −6.98923 | − | 52.0201i | −0.235340 | − | 1.75161i | ||||
\(883\) | −9.89360 | + | 32.6148i | −0.332946 | + | 1.09758i | 0.617470 | + | 0.786595i | \(0.288158\pi\) |
−0.950416 | + | 0.310982i | \(0.899342\pi\) | |||||||
\(884\) | −26.6352 | + | 25.2136i | −0.895839 | + | 0.848026i | ||||
\(885\) | 4.99787 | + | 0.492247i | 0.168001 | + | 0.0165467i | ||||
\(886\) | −9.07657 | − | 12.5955i | −0.304933 | − | 0.423155i | ||||
\(887\) | −2.64350 | − | 13.2898i | −0.0887602 | − | 0.446228i | −0.999451 | − | 0.0331384i | \(-0.989450\pi\) |
0.910691 | − | 0.413089i | \(-0.135550\pi\) | |||||||
\(888\) | −17.0343 | − | 3.24740i | −0.571633 | − | 0.108976i | ||||
\(889\) | −13.0305 | − | 2.59192i | −0.437028 | − | 0.0869302i | ||||
\(890\) | 17.2269 | + | 6.43156i | 0.577448 | + | 0.215586i | ||||
\(891\) | −10.9618 | + | 3.32522i | −0.367233 | + | 0.111399i | ||||
\(892\) | −1.86456 | + | 14.7687i | −0.0624299 | + | 0.494493i | ||||
\(893\) | 24.1438 | − | 29.4193i | 0.807940 | − | 0.984478i | ||||
\(894\) | 2.78593 | + | 8.13599i | 0.0931753 | + | 0.272108i | ||||
\(895\) | −5.42309 | −0.181274 | ||||||||
\(896\) | 24.8114 | + | 41.1862i | 0.828891 | + | 1.37594i | ||||
\(897\) | 46.3280 | 1.54685 | ||||||||
\(898\) | 11.7111 | + | 34.2010i | 0.390804 | + | 1.14130i | ||||
\(899\) | −0.264116 | + | 0.321826i | −0.00880875 | + | 0.0107335i | ||||
\(900\) | −6.65750 | − | 0.840512i | −0.221917 | − | 0.0280171i | ||||
\(901\) | −34.2878 | + | 10.4011i | −1.14229 | + | 0.346510i | ||||
\(902\) | 20.2429 | + | 7.55756i | 0.674016 | + | 0.251639i | ||||
\(903\) | −23.1436 | − | 4.60354i | −0.770170 | − | 0.153196i | ||||
\(904\) | 29.1694 | + | 42.9106i | 0.970158 | + | 1.42719i | ||||
\(905\) | 4.28252 | + | 21.5297i | 0.142356 | + | 0.715671i | ||||
\(906\) | 19.2886 | + | 26.7667i | 0.640820 | + | 0.889264i | ||||
\(907\) | 27.0823 | + | 2.66738i | 0.899254 | + | 0.0885688i | 0.537070 | − | 0.843538i | \(-0.319531\pi\) |
0.362184 | + | 0.932107i | \(0.382031\pi\) | |||||||
\(908\) | −31.3254 | − | 33.0916i | −1.03957 | − | 1.09818i | ||||
\(909\) | 5.51451 | − | 18.1789i | 0.182905 | − | 0.602956i | ||||
\(910\) | −3.08303 | − | 22.9467i | −0.102201 | − | 0.760674i | ||||
\(911\) | 6.77049 | − | 16.3454i | 0.224316 | − | 0.541547i | −0.771151 | − | 0.636652i | \(-0.780319\pi\) |
0.995467 | + | 0.0951049i | \(0.0303186\pi\) | |||||||
\(912\) | −40.1545 | − | 19.2742i | −1.32965 | − | 0.638234i | ||||
\(913\) | −4.28253 | − | 10.3390i | −0.141731 | − | 0.342169i | ||||
\(914\) | −3.50873 | + | 2.03822i | −0.116059 | + | 0.0674182i | ||||
\(915\) | 20.0767 | − | 10.7312i | 0.663714 | − | 0.354763i | ||||
\(916\) | −29.7220 | + | 5.06951i | −0.982043 | + | 0.167501i | ||||
\(917\) | 32.9001 | − | 27.0004i | 1.08646 | − | 0.891633i | ||||
\(918\) | −1.38439 | − | 5.86679i | −0.0456916 | − | 0.193633i | ||||
\(919\) | 25.6784 | − | 38.4305i | 0.847053 | − | 1.26770i | −0.114594 | − | 0.993412i | \(-0.536557\pi\) |
0.961647 | − | 0.274292i | \(-0.0884434\pi\) | |||||||
\(920\) | 8.64288 | + | 10.3618i | 0.284947 | + | 0.341620i | ||||
\(921\) | 63.3494 | − | 42.3287i | 2.08743 | − | 1.39478i | ||||
\(922\) | 60.3839 | − | 2.13738i | 1.98864 | − | 0.0703910i | ||||
\(923\) | 35.5796 | + | 19.0177i | 1.17112 | + | 0.625975i | ||||
\(924\) | −9.94609 | + | 29.8199i | −0.327202 | + | 0.981003i | ||||
\(925\) | 0.238379 | + | 2.42031i | 0.00783787 | + | 0.0795792i | ||||
\(926\) | 18.5303 | + | 1.16510i | 0.608943 | + | 0.0382877i | ||||
\(927\) | −21.7815 | − | 21.7815i | −0.715400 | − | 0.715400i | ||||
\(928\) | 45.4163 | − | 8.11943i | 1.49086 | − | 0.266533i | ||||
\(929\) | −1.13988 | + | 1.13988i | −0.0373982 | + | 0.0373982i | −0.725559 | − | 0.688160i | \(-0.758419\pi\) |
0.688160 | + | 0.725559i | \(0.258419\pi\) | |||||||
\(930\) | 0.136508 | − | 0.120357i | 0.00447626 | − | 0.00394666i | ||||
\(931\) | −48.6255 | + | 4.78919i | −1.59364 | + | 0.156959i | ||||
\(932\) | 1.66776 | + | 23.5287i | 0.0546291 | + | 0.770707i | ||||
\(933\) | 15.2899 | − | 28.6053i | 0.500568 | − | 0.936497i | ||||
\(934\) | −24.3254 | − | 22.6622i | −0.795952 | − | 0.741531i | ||||
\(935\) | −3.87994 | − | 5.80674i | −0.126888 | − | 0.189901i | ||||
\(936\) | −22.9654 | + | 28.4428i | −0.750649 | + | 0.929681i | ||||
\(937\) | −26.1291 | − | 17.4589i | −0.853602 | − | 0.570359i | 0.0499915 | − | 0.998750i | \(-0.484081\pi\) |
−0.903593 | + | 0.428391i | \(0.859081\pi\) | |||||||
\(938\) | 42.1214 | + | 26.0378i | 1.37531 | + | 0.850165i | ||||
\(939\) | 23.8523 | + | 29.0641i | 0.778390 | + | 0.948470i | ||||
\(940\) | 3.82381 | − | 16.8027i | 0.124719 | − | 0.548042i | ||||
\(941\) | −15.9157 | − | 29.7762i | −0.518838 | − | 0.970678i | −0.995783 | − | 0.0917443i | \(-0.970756\pi\) |
0.476945 | − | 0.878933i | \(-0.341744\pi\) | |||||||
\(942\) | −33.6822 | − | 8.92926i | −1.09742 | − | 0.290931i | ||||
\(943\) | −45.9032 | + | 19.0137i | −1.49481 | + | 0.619172i | ||||
\(944\) | 7.96103 | − | 0.345345i | 0.259109 | − | 0.0112400i | ||||
\(945\) | 3.51560 | + | 1.45621i | 0.114362 | + | 0.0473705i | ||||
\(946\) | 3.63257 | + | 2.77207i | 0.118105 | + | 0.0901276i | ||||
\(947\) | −9.10341 | − | 2.76149i | −0.295821 | − | 0.0897363i | 0.138886 | − | 0.990308i | \(-0.455648\pi\) |
−0.434707 | + | 0.900572i | \(0.643148\pi\) | |||||||
\(948\) | 3.52998 | − | 7.90226i | 0.114648 | − | 0.256654i | ||||
\(949\) | −4.42691 | + | 44.9472i | −0.143704 | + | 1.45905i | ||||
\(950\) | −1.00118 | + | 6.16592i | −0.0324825 | + | 0.200049i | ||||
\(951\) | 49.3032 | − | 9.80702i | 1.59877 | − | 0.318014i | ||||
\(952\) | 53.0405 | + | 21.4764i | 1.71905 | + | 0.696054i | ||||
\(953\) | 7.81292 | − | 39.2782i | 0.253085 | − | 1.27235i | −0.619931 | − | 0.784656i | \(-0.712840\pi\) |
0.873017 | − | 0.487690i | \(-0.162160\pi\) | |||||||
\(954\) | −32.4911 | + | 14.8257i | −1.05194 | + | 0.480000i | ||||
\(955\) | 0.0799908 | + | 0.263694i | 0.00258844 | + | 0.00853294i | ||||
\(956\) | −32.5940 | − | 18.5879i | −1.05416 | − | 0.601176i | ||||
\(957\) | 23.3160 | + | 19.1350i | 0.753701 | + | 0.618546i | ||||
\(958\) | 1.25165 | − | 2.55518i | 0.0404389 | − | 0.0825541i | ||||
\(959\) | 50.2536i | 1.62277i | ||||||||
\(960\) | −20.1650 | + | 0.321480i | −0.650823 | + | 0.0103757i | ||||
\(961\) | − | 30.9974i | − | 0.999916i | ||||||
\(962\) | 11.8984 | + | 5.82839i | 0.383620 | + | 0.187915i | ||||
\(963\) | −39.7967 | − | 32.6603i | −1.28243 | − | 1.05246i | ||||
\(964\) | −5.51748 | − | 20.1623i | −0.177706 | − | 0.649385i | ||||
\(965\) | 7.60514 | + | 25.0708i | 0.244818 | + | 0.807057i | ||||
\(966\) | −30.0061 | − | 65.7596i | −0.965431 | − | 2.11578i | ||||
\(967\) | 8.52080 | − | 42.8370i | 0.274010 | − | 1.37754i | −0.561230 | − | 0.827660i | \(-0.689672\pi\) |
0.835241 | − | 0.549884i | \(-0.185328\pi\) | |||||||
\(968\) | −17.5541 | + | 17.8362i | −0.564209 | + | 0.573276i | ||||
\(969\) | −51.9900 | + | 10.3415i | −1.67016 | + | 0.332216i | ||||
\(970\) | −9.68402 | − | 1.57242i | −0.310935 | − | 0.0504874i | ||||
\(971\) | −3.69374 | + | 37.5032i | −0.118538 | + | 1.20354i | 0.733365 | + | 0.679835i | \(0.237949\pi\) |
−0.851903 | + | 0.523700i | \(0.824551\pi\) | |||||||
\(972\) | 15.9823 | + | 41.7891i | 0.512633 | + | 1.34038i | ||||
\(973\) | 24.5999 | + | 7.46229i | 0.788635 | + | 0.239230i | ||||
\(974\) | −0.107543 | + | 0.140927i | −0.00344591 | + | 0.00451559i | ||||
\(975\) | 8.97197 | + | 3.71631i | 0.287333 | + | 0.119017i | ||||
\(976\) | 29.1355 | − | 21.3504i | 0.932604 | − | 0.683411i | ||||
\(977\) | −24.2968 | + | 10.0641i | −0.777324 | + | 0.321978i | −0.735835 | − | 0.677161i | \(-0.763210\pi\) |
−0.0414891 | + | 0.999139i | \(0.513210\pi\) | |||||||
\(978\) | −14.4546 | + | 54.5242i | −0.462206 | + | 1.74349i | ||||
\(979\) | 8.99191 | + | 16.8227i | 0.287383 | + | 0.537655i | ||||
\(980\) | −18.7251 | + | 11.7824i | −0.598151 | + | 0.376376i | ||||
\(981\) | −32.7622 | − | 39.9208i | −1.04602 | − | 1.27457i | ||||
\(982\) | −8.90655 | + | 14.4081i | −0.284219 | + | 0.459782i | ||||
\(983\) | −7.99092 | − | 5.33936i | −0.254871 | − | 0.170299i | 0.421571 | − | 0.906795i | \(-0.361479\pi\) |
−0.676442 | + | 0.736496i | \(0.736479\pi\) | |||||||
\(984\) | 20.9899 | − | 71.2336i | 0.669135 | − | 2.27084i | ||||
\(985\) | 6.20562 | + | 9.28737i | 0.197728 | + | 0.295920i | ||||
\(986\) | 37.4278 | − | 40.1746i | 1.19194 | − | 1.27942i | ||||
\(987\) | −43.5154 | + | 81.4117i | −1.38511 | + | 2.59136i | ||||
\(988\) | 25.7046 | + | 22.3018i | 0.817772 | + | 0.709515i | ||||
\(989\) | −10.4565 | + | 1.02988i | −0.332497 | + | 0.0327481i | ||||
\(990\) | −4.60355 | − | 5.22129i | −0.146310 | − | 0.165944i | ||||
\(991\) | −28.9446 | + | 28.9446i | −0.919456 | + | 0.919456i | −0.996990 | − | 0.0775339i | \(-0.975295\pi\) |
0.0775339 | + | 0.996990i | \(0.475295\pi\) | |||||||
\(992\) | 0.187494 | − | 0.219614i | 0.00595295 | − | 0.00697275i | ||||
\(993\) | 15.6778 | + | 15.6778i | 0.497519 | + | 0.497519i | ||||
\(994\) | 3.94988 | − | 62.8206i | 0.125283 | − | 1.99255i | ||||
\(995\) | 2.46721 | + | 25.0500i | 0.0782159 | + | 0.794140i | ||||
\(996\) | −34.4035 | + | 17.1938i | −1.09012 | + | 0.544806i | ||||
\(997\) | −22.5838 | − | 12.0713i | −0.715235 | − | 0.382301i | 0.0732844 | − | 0.997311i | \(-0.476652\pi\) |
−0.788519 | + | 0.615010i | \(0.789152\pi\) | |||||||
\(998\) | −1.30640 | − | 36.9075i | −0.0413533 | − | 1.16829i | ||||
\(999\) | −1.81057 | + | 1.20979i | −0.0572840 | + | 0.0382760i |
(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 | 640.2.bm.a.341.58 | ✓ | 1024 | |
128.125 | even | 32 | inner | 640.2.bm.a.381.58 | yes | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
640.2.bm.a.341.58 | ✓ | 1024 | 1.1 | even | 1 | trivial | |
640.2.bm.a.381.58 | yes | 1024 | 128.125 | even | 32 | inner |