Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(19,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 21, 0, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.cf (of order \(24\), 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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 187.59 | ||
Character | \(\chi\) | \(=\) | 672.187 |
Dual form | 672.2.cf.a.115.59 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{8}\right)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36521 | − | 0.369061i | 0.965348 | − | 0.260965i | ||||
\(3\) | 0.608761 | − | 0.793353i | 0.351469 | − | 0.458043i | ||||
\(4\) | 1.72759 | − | 1.00769i | 0.863794 | − | 0.503845i | ||||
\(5\) | 2.34252 | + | 3.05283i | 1.04761 | + | 1.36527i | 0.928057 | + | 0.372437i | \(0.121478\pi\) |
0.119548 | + | 0.992828i | \(0.461856\pi\) | |||||||
\(6\) | 0.538291 | − | 1.30776i | 0.219756 | − | 0.533892i | ||||
\(7\) | −1.86291 | + | 1.87872i | −0.704112 | + | 0.710089i | ||||
\(8\) | 1.98662 | − | 2.01329i | 0.702376 | − | 0.711806i | ||||
\(9\) | −0.258819 | − | 0.965926i | −0.0862730 | − | 0.321975i | ||||
\(10\) | 4.32470 | + | 3.30321i | 1.36759 | + | 1.04457i | ||||
\(11\) | 0.395187 | + | 3.00175i | 0.119154 | + | 0.905061i | 0.941721 | + | 0.336394i | \(0.109207\pi\) |
−0.822568 | + | 0.568667i | \(0.807459\pi\) | |||||||
\(12\) | 0.252235 | − | 1.98403i | 0.0728141 | − | 0.572740i | ||||
\(13\) | −0.873213 | − | 2.10812i | −0.242186 | − | 0.584688i | 0.755314 | − | 0.655363i | \(-0.227485\pi\) |
−0.997499 | + | 0.0706754i | \(0.977485\pi\) | |||||||
\(14\) | −1.84989 | + | 3.25237i | −0.494405 | + | 0.869232i | ||||
\(15\) | 3.84800 | 0.993550 | ||||||||
\(16\) | 1.96912 | − | 3.48175i | 0.492281 | − | 0.870436i | ||||
\(17\) | −0.223893 | − | 0.387794i | −0.0543020 | − | 0.0940538i | 0.837597 | − | 0.546289i | \(-0.183960\pi\) |
−0.891899 | + | 0.452235i | \(0.850627\pi\) | |||||||
\(18\) | −0.709827 | − | 1.22317i | −0.167308 | − | 0.288304i | ||||
\(19\) | 0.424929 | − | 3.22766i | 0.0974855 | − | 0.740476i | −0.870978 | − | 0.491321i | \(-0.836514\pi\) |
0.968464 | − | 0.249154i | \(-0.0801526\pi\) | |||||||
\(20\) | 7.12321 | + | 2.91350i | 1.59280 | + | 0.651478i | ||||
\(21\) | 0.356423 | + | 2.62163i | 0.0777779 | + | 0.572087i | ||||
\(22\) | 1.64734 | + | 3.95216i | 0.351214 | + | 0.842604i | ||||
\(23\) | −0.709634 | + | 0.190146i | −0.147969 | + | 0.0396482i | −0.332043 | − | 0.943264i | \(-0.607738\pi\) |
0.184074 | + | 0.982912i | \(0.441071\pi\) | |||||||
\(24\) | −0.387874 | − | 2.80171i | −0.0791744 | − | 0.571896i | ||||
\(25\) | −2.53827 | + | 9.47296i | −0.507654 | + | 1.89459i | ||||
\(26\) | −1.97014 | − | 2.55576i | −0.386377 | − | 0.501225i | ||||
\(27\) | −0.923880 | − | 0.382683i | −0.177801 | − | 0.0736475i | ||||
\(28\) | −1.32517 | + | 5.12288i | −0.250433 | + | 0.968134i | ||||
\(29\) | 2.38739 | + | 5.76366i | 0.443326 | + | 1.07028i | 0.974774 | + | 0.223193i | \(0.0716482\pi\) |
−0.531448 | + | 0.847091i | \(0.678352\pi\) | |||||||
\(30\) | 5.25333 | − | 1.42015i | 0.959122 | − | 0.259282i | ||||
\(31\) | −3.58756 | − | 6.21384i | −0.644345 | − | 1.11604i | −0.984452 | − | 0.175652i | \(-0.943797\pi\) |
0.340107 | − | 0.940387i | \(-0.389537\pi\) | |||||||
\(32\) | 1.40329 | − | 5.48003i | 0.248069 | − | 0.968742i | ||||
\(33\) | 2.62202 | + | 1.51382i | 0.456435 | + | 0.263523i | ||||
\(34\) | −0.448780 | − | 0.446789i | −0.0769651 | − | 0.0766238i | ||||
\(35\) | −10.0993 | − | 1.28620i | −1.70709 | − | 0.217407i | ||||
\(36\) | −1.42049 | − | 1.40791i | −0.236748 | − | 0.234652i | ||||
\(37\) | 5.46588 | − | 4.19412i | 0.898585 | − | 0.689509i | −0.0524392 | − | 0.998624i | \(-0.516700\pi\) |
0.951025 | + | 0.309115i | \(0.100033\pi\) | |||||||
\(38\) | −0.611085 | − | 4.56325i | −0.0991310 | − | 0.740257i | ||||
\(39\) | −2.20406 | − | 0.590577i | −0.352933 | − | 0.0945681i | ||||
\(40\) | 10.7999 | + | 1.34864i | 1.70762 | + | 0.213239i | ||||
\(41\) | −7.46503 | − | 7.46503i | −1.16584 | − | 1.16584i | −0.983175 | − | 0.182666i | \(-0.941527\pi\) |
−0.182666 | − | 0.983175i | \(-0.558473\pi\) | |||||||
\(42\) | 1.45413 | + | 3.44753i | 0.224378 | + | 0.531966i | ||||
\(43\) | −8.18619 | − | 3.39083i | −1.24838 | − | 0.517097i | −0.342058 | − | 0.939679i | \(-0.611124\pi\) |
−0.906325 | + | 0.422582i | \(0.861124\pi\) | |||||||
\(44\) | 3.70755 | + | 4.78756i | 0.558934 | + | 0.721751i | ||||
\(45\) | 2.34252 | − | 3.05283i | 0.349202 | − | 0.455089i | ||||
\(46\) | −0.898623 | + | 0.521487i | −0.132495 | + | 0.0768890i | ||||
\(47\) | −2.17444 | − | 1.25541i | −0.317175 | − | 0.183121i | 0.332958 | − | 0.942942i | \(-0.391953\pi\) |
−0.650133 | + | 0.759821i | \(0.725287\pi\) | |||||||
\(48\) | −1.56353 | − | 3.68176i | −0.225676 | − | 0.531417i | ||||
\(49\) | −0.0591699 | − | 6.99975i | −0.00845285 | − | 0.999964i | ||||
\(50\) | 0.0308263 | + | 13.8693i | 0.00435949 | + | 1.96142i | ||||
\(51\) | −0.443955 | − | 0.0584478i | −0.0621661 | − | 0.00818433i | ||||
\(52\) | −3.63289 | − | 2.76204i | −0.503791 | − | 0.383026i | ||||
\(53\) | 13.9137 | − | 1.83178i | 1.91120 | − | 0.251614i | 0.920817 | − | 0.389994i | \(-0.127523\pi\) |
0.990379 | + | 0.138380i | \(0.0441896\pi\) | |||||||
\(54\) | −1.40252 | − | 0.181475i | −0.190859 | − | 0.0246956i | ||||
\(55\) | −8.23808 | + | 8.23808i | −1.11082 | + | 1.11082i | ||||
\(56\) | 0.0815240 | + | 7.48287i | 0.0108941 | + | 0.999941i | ||||
\(57\) | −2.30199 | − | 2.30199i | −0.304906 | − | 0.304906i | ||||
\(58\) | 5.38642 | + | 6.98751i | 0.707271 | + | 0.917504i | ||||
\(59\) | −0.0581095 | − | 0.441386i | −0.00756521 | − | 0.0574635i | 0.987246 | − | 0.159203i | \(-0.0508925\pi\) |
−0.994811 | + | 0.101740i | \(0.967559\pi\) | |||||||
\(60\) | 6.64777 | − | 3.87759i | 0.858223 | − | 0.500595i | ||||
\(61\) | −0.948171 | + | 7.20207i | −0.121401 | + | 0.922131i | 0.817013 | + | 0.576619i | \(0.195628\pi\) |
−0.938414 | + | 0.345512i | \(0.887705\pi\) | |||||||
\(62\) | −7.19105 | − | 7.15916i | −0.913265 | − | 0.909214i | ||||
\(63\) | 2.29686 | + | 1.31318i | 0.289377 | + | 0.165445i | ||||
\(64\) | −0.106682 | − | 7.99929i | −0.0133353 | − | 0.999911i | ||||
\(65\) | 4.39022 | − | 7.60408i | 0.544539 | − | 0.943170i | ||||
\(66\) | 4.13830 | + | 1.09900i | 0.509389 | + | 0.135278i | ||||
\(67\) | −7.44661 | − | 5.71399i | −0.909749 | − | 0.698075i | 0.0438877 | − | 0.999036i | \(-0.486026\pi\) |
−0.953636 | + | 0.300962i | \(0.902692\pi\) | |||||||
\(68\) | −0.777571 | − | 0.444334i | −0.0942943 | − | 0.0538834i | ||||
\(69\) | −0.281145 | + | 0.678744i | −0.0338459 | + | 0.0817112i | ||||
\(70\) | −14.2623 | + | 1.97132i | −1.70467 | + | 0.235618i | ||||
\(71\) | −2.83626 | + | 2.83626i | −0.336602 | + | 0.336602i | −0.855087 | − | 0.518485i | \(-0.826496\pi\) |
0.518485 | + | 0.855087i | \(0.326496\pi\) | |||||||
\(72\) | −2.45886 | − | 1.39785i | −0.289780 | − | 0.164738i | ||||
\(73\) | −3.33427 | + | 12.4437i | −0.390247 | + | 1.45642i | 0.439480 | + | 0.898252i | \(0.355163\pi\) |
−0.829727 | + | 0.558170i | \(0.811504\pi\) | |||||||
\(74\) | 5.91418 | − | 7.74309i | 0.687510 | − | 0.900116i | ||||
\(75\) | 5.97020 | + | 7.78052i | 0.689380 | + | 0.898417i | ||||
\(76\) | −2.51837 | − | 6.00426i | −0.288877 | − | 0.688736i | ||||
\(77\) | −6.37564 | − | 4.84952i | −0.726571 | − | 0.552654i | ||||
\(78\) | −3.22697 | + | 0.00717232i | −0.365382 | + | 0.000812105i | ||||
\(79\) | 2.09113 | − | 3.62194i | 0.235270 | − | 0.407500i | −0.724081 | − | 0.689715i | \(-0.757736\pi\) |
0.959351 | + | 0.282215i | \(0.0910692\pi\) | |||||||
\(80\) | 15.2419 | − | 2.14465i | 1.70409 | − | 0.239779i | ||||
\(81\) | −0.866025 | + | 0.500000i | −0.0962250 | + | 0.0555556i | ||||
\(82\) | −12.9464 | − | 7.43627i | −1.42969 | − | 0.821199i | ||||
\(83\) | 4.63716 | − | 1.92078i | 0.508995 | − | 0.210833i | −0.113380 | − | 0.993552i | \(-0.536168\pi\) |
0.622375 | + | 0.782719i | \(0.286168\pi\) | |||||||
\(84\) | 3.25755 | + | 4.16994i | 0.355427 | + | 0.454978i | ||||
\(85\) | 0.659395 | − | 1.59192i | 0.0715214 | − | 0.172668i | ||||
\(86\) | −12.4273 | − | 1.60799i | −1.34007 | − | 0.173394i | ||||
\(87\) | 6.02597 | + | 1.61465i | 0.646051 | + | 0.173109i | ||||
\(88\) | 6.82848 | + | 5.16770i | 0.727918 | + | 0.550879i | ||||
\(89\) | −3.30103 | − | 12.3196i | −0.349908 | − | 1.30588i | −0.886772 | − | 0.462206i | \(-0.847058\pi\) |
0.536864 | − | 0.843669i | \(-0.319609\pi\) | |||||||
\(90\) | 2.07134 | − | 5.03228i | 0.218339 | − | 0.530448i | ||||
\(91\) | 5.58728 | + | 2.28671i | 0.585706 | + | 0.239712i | ||||
\(92\) | −1.03435 | + | 1.04358i | −0.107838 | + | 0.108801i | ||||
\(93\) | −7.11374 | − | 0.936541i | −0.737660 | − | 0.0971148i | ||||
\(94\) | −3.43189 | − | 0.911401i | −0.353972 | − | 0.0940039i | ||||
\(95\) | 10.8489 | − | 6.26361i | 1.11307 | − | 0.642633i | ||||
\(96\) | −3.49334 | − | 4.44934i | −0.356537 | − | 0.454109i | ||||
\(97\) | 19.4819i | 1.97809i | 0.147616 | + | 0.989045i | \(0.452840\pi\) | ||||
−0.147616 | + | 0.989045i | \(0.547160\pi\) | |||||||
\(98\) | −2.66411 | − | 9.53428i | −0.269116 | − | 0.963108i | ||||
\(99\) | 2.79718 | − | 1.15863i | 0.281127 | − | 0.116447i | ||||
\(100\) | 5.16071 | + | 18.9232i | 0.516071 | + | 1.89232i | ||||
\(101\) | −4.06168 | + | 0.534730i | −0.404152 | + | 0.0532076i | −0.329862 | − | 0.944029i | \(-0.607002\pi\) |
−0.0742898 | + | 0.997237i | \(0.523669\pi\) | |||||||
\(102\) | −0.627662 | + | 0.0840529i | −0.0621478 | + | 0.00832248i | ||||
\(103\) | 6.33585 | − | 1.69769i | 0.624290 | − | 0.167278i | 0.0672129 | − | 0.997739i | \(-0.478589\pi\) |
0.557077 | + | 0.830461i | \(0.311923\pi\) | |||||||
\(104\) | −5.97901 | − | 2.43001i | −0.586290 | − | 0.238282i | ||||
\(105\) | −7.16847 | + | 7.22932i | −0.699571 | + | 0.705509i | ||||
\(106\) | 18.3191 | − | 7.63576i | 1.77931 | − | 0.741651i | ||||
\(107\) | −5.72383 | + | 4.39205i | −0.553344 | + | 0.424596i | −0.847216 | − | 0.531249i | \(-0.821723\pi\) |
0.293872 | + | 0.955845i | \(0.405056\pi\) | |||||||
\(108\) | −1.98171 | + | 0.269864i | −0.190690 | + | 0.0259677i | ||||
\(109\) | 6.59858 | + | 5.06327i | 0.632029 | + | 0.484973i | 0.874397 | − | 0.485211i | \(-0.161257\pi\) |
−0.242368 | + | 0.970184i | \(0.577924\pi\) | |||||||
\(110\) | −8.20634 | + | 14.2870i | −0.782444 | + | 1.36222i | ||||
\(111\) | − | 6.88959i | − | 0.653931i | ||||||
\(112\) | 2.87293 | + | 10.1856i | 0.271466 | + | 0.962448i | ||||
\(113\) | 2.60022i | 0.244608i | 0.992493 | + | 0.122304i | \(0.0390283\pi\) | ||||
−0.992493 | + | 0.122304i | \(0.960972\pi\) | |||||||
\(114\) | −3.99228 | − | 2.29313i | −0.373911 | − | 0.214771i | ||||
\(115\) | −2.24281 | − | 1.72097i | −0.209143 | − | 0.160481i | ||||
\(116\) | 9.93240 | + | 7.55149i | 0.922200 | + | 0.701138i | ||||
\(117\) | −1.81029 | + | 1.38908i | −0.167361 | + | 0.128421i | ||||
\(118\) | −0.242230 | − | 0.581137i | −0.0222990 | − | 0.0534980i | ||||
\(119\) | 1.14565 | + | 0.301791i | 0.105021 | + | 0.0276652i | ||||
\(120\) | 7.64452 | − | 7.74715i | 0.697846 | − | 0.707215i | ||||
\(121\) | 1.77087 | − | 0.474504i | 0.160988 | − | 0.0431367i | ||||
\(122\) | 1.36355 | + | 10.1823i | 0.123450 | + | 0.921859i | ||||
\(123\) | −10.4668 | + | 1.37798i | −0.943762 | + | 0.124249i | ||||
\(124\) | −12.4594 | − | 7.11981i | −1.11889 | − | 0.639378i | ||||
\(125\) | −17.0898 | + | 7.07882i | −1.52856 | + | 0.633149i | ||||
\(126\) | 3.62033 | + | 0.945084i | 0.322525 | + | 0.0841948i | ||||
\(127\) | 8.90535i | 0.790222i | 0.918633 | + | 0.395111i | \(0.129294\pi\) | ||||
−0.918633 | + | 0.395111i | \(0.870706\pi\) | |||||||
\(128\) | −3.09787 | − | 10.8813i | −0.273815 | − | 0.961782i | ||||
\(129\) | −7.67356 | + | 4.43033i | −0.675620 | + | 0.390069i | ||||
\(130\) | 3.18720 | − | 12.0014i | 0.279536 | − | 1.05259i | ||||
\(131\) | −14.5521 | − | 1.91583i | −1.27143 | − | 0.167387i | −0.535551 | − | 0.844503i | \(-0.679896\pi\) |
−0.735876 | + | 0.677116i | \(0.763229\pi\) | |||||||
\(132\) | 6.05524 | − | 0.0269171i | 0.527041 | − | 0.00234283i | ||||
\(133\) | 5.27226 | + | 6.81114i | 0.457163 | + | 0.590601i | ||||
\(134\) | −12.2750 | − | 5.05253i | −1.06040 | − | 0.436472i | ||||
\(135\) | −0.995937 | − | 3.71689i | −0.0857166 | − | 0.319899i | ||||
\(136\) | −1.22553 | − | 0.319637i | −0.105089 | − | 0.0274087i | ||||
\(137\) | 8.70542 | + | 2.33261i | 0.743754 | + | 0.199288i | 0.610746 | − | 0.791827i | \(-0.290870\pi\) |
0.133008 | + | 0.991115i | \(0.457536\pi\) | |||||||
\(138\) | −0.133324 | + | 1.03039i | −0.0113493 | + | 0.0877123i | ||||
\(139\) | −5.47439 | + | 13.2163i | −0.464331 | + | 1.12100i | 0.502270 | + | 0.864711i | \(0.332498\pi\) |
−0.966601 | + | 0.256284i | \(0.917502\pi\) | |||||||
\(140\) | −18.7435 | + | 7.95493i | −1.58411 | + | 0.672314i | ||||
\(141\) | −2.31970 | + | 0.960852i | −0.195354 | + | 0.0809184i | ||||
\(142\) | −2.82533 | + | 4.91883i | −0.237096 | + | 0.412779i | ||||
\(143\) | 5.98297 | − | 3.45427i | 0.500321 | − | 0.288860i | ||||
\(144\) | −3.87275 | − | 1.00089i | −0.322730 | − | 0.0834071i | ||||
\(145\) | −12.0030 | + | 20.7897i | −0.996792 | + | 1.72649i | ||||
\(146\) | 0.0404934 | + | 18.2188i | 0.00335126 | + | 1.50780i | ||||
\(147\) | −5.58930 | − | 4.21424i | −0.460997 | − | 0.347584i | ||||
\(148\) | 5.21643 | − | 12.7536i | 0.428787 | − | 1.04834i | ||||
\(149\) | −3.45148 | − | 4.49805i | −0.282756 | − | 0.368495i | 0.630284 | − | 0.776365i | \(-0.282938\pi\) |
−0.913040 | + | 0.407870i | \(0.866272\pi\) | |||||||
\(150\) | 11.0221 | + | 8.41867i | 0.899947 | + | 0.687381i | ||||
\(151\) | −3.36234 | + | 12.5484i | −0.273623 | + | 1.02118i | 0.683135 | + | 0.730292i | \(0.260616\pi\) |
−0.956758 | + | 0.290884i | \(0.906051\pi\) | |||||||
\(152\) | −5.65404 | − | 7.26764i | −0.458604 | − | 0.589483i | ||||
\(153\) | −0.316632 | + | 0.316632i | −0.0255982 | + | 0.0255982i | ||||
\(154\) | −10.4938 | − | 4.26761i | −0.845618 | − | 0.343894i | ||||
\(155\) | 10.5659 | − | 25.5082i | 0.848670 | − | 2.04887i | ||||
\(156\) | −4.40284 | + | 1.20074i | −0.352509 | + | 0.0961360i | ||||
\(157\) | −5.92952 | − | 4.54988i | −0.473228 | − | 0.363120i | 0.344443 | − | 0.938807i | \(-0.388068\pi\) |
−0.817670 | + | 0.575687i | \(0.804735\pi\) | |||||||
\(158\) | 1.51811 | − | 5.71645i | 0.120774 | − | 0.454777i | ||||
\(159\) | 7.01689 | − | 12.1536i | 0.556476 | − | 0.963844i | ||||
\(160\) | 20.0168 | − | 8.55307i | 1.58247 | − | 0.676180i | ||||
\(161\) | 0.964750 | − | 1.68743i | 0.0760330 | − | 0.132988i | ||||
\(162\) | −0.997775 | + | 1.00222i | −0.0783926 | + | 0.0787419i | ||||
\(163\) | −2.01706 | + | 15.3211i | −0.157988 | + | 1.20004i | 0.710271 | + | 0.703928i | \(0.248572\pi\) |
−0.868259 | + | 0.496111i | \(0.834761\pi\) | |||||||
\(164\) | −20.4189 | − | 5.37406i | −1.59445 | − | 0.419644i | ||||
\(165\) | 1.52068 | + | 11.5507i | 0.118385 | + | 0.899223i | ||||
\(166\) | 5.62181 | − | 4.33366i | 0.436337 | − | 0.336357i | ||||
\(167\) | 3.00503 | + | 3.00503i | 0.232536 | + | 0.232536i | 0.813751 | − | 0.581214i | \(-0.197422\pi\) |
−0.581214 | + | 0.813751i | \(0.697422\pi\) | |||||||
\(168\) | 5.98619 | + | 4.49061i | 0.461845 | + | 0.346458i | ||||
\(169\) | 5.51071 | − | 5.51071i | 0.423901 | − | 0.423901i | ||||
\(170\) | 0.312696 | − | 2.41666i | 0.0239827 | − | 0.185349i | ||||
\(171\) | −3.22766 | + | 0.424929i | −0.246825 | + | 0.0324952i | ||||
\(172\) | −17.5593 | + | 2.39118i | −1.33888 | + | 0.182326i | ||||
\(173\) | 9.99621 | + | 1.31603i | 0.759998 | + | 0.100056i | 0.500557 | − | 0.865703i | \(-0.333128\pi\) |
0.259441 | + | 0.965759i | \(0.416462\pi\) | |||||||
\(174\) | 8.82260 | − | 0.0196093i | 0.668840 | − | 0.00148658i | ||||
\(175\) | −13.0685 | − | 22.4159i | −0.987884 | − | 1.69448i | ||||
\(176\) | 11.2295 | + | 4.53487i | 0.846455 | + | 0.341829i | ||||
\(177\) | −0.385549 | − | 0.222597i | −0.0289797 | − | 0.0167314i | ||||
\(178\) | −9.05327 | − | 15.6005i | −0.678571 | − | 1.16931i | ||||
\(179\) | 0.403278 | − | 0.525562i | 0.0301424 | − | 0.0392824i | −0.778039 | − | 0.628216i | \(-0.783785\pi\) |
0.808181 | + | 0.588934i | \(0.200452\pi\) | |||||||
\(180\) | 0.970603 | − | 7.63456i | 0.0723445 | − | 0.569046i | ||||
\(181\) | −15.1642 | − | 6.28122i | −1.12715 | − | 0.466879i | −0.260336 | − | 0.965518i | \(-0.583833\pi\) |
−0.866810 | + | 0.498639i | \(0.833833\pi\) | |||||||
\(182\) | 8.47174 | + | 1.05979i | 0.627967 | + | 0.0785569i | ||||
\(183\) | 5.13658 | + | 5.13658i | 0.379707 | + | 0.379707i | ||||
\(184\) | −1.02695 | + | 1.80645i | −0.0757081 | + | 0.133173i | ||||
\(185\) | 25.6078 | + | 6.86160i | 1.88273 | + | 0.504475i | ||||
\(186\) | −10.0574 | + | 1.34683i | −0.737443 | + | 0.0987541i | ||||
\(187\) | 1.07558 | − | 0.825321i | 0.0786542 | − | 0.0603535i | ||||
\(188\) | −5.02161 | + | 0.0223224i | −0.366238 | + | 0.00162803i | ||||
\(189\) | 2.44005 | − | 1.02281i | 0.177488 | − | 0.0743983i | ||||
\(190\) | 12.4993 | − | 12.5550i | 0.906797 | − | 0.910837i | ||||
\(191\) | 15.2198 | + | 8.78713i | 1.10126 | + | 0.635814i | 0.936552 | − | 0.350528i | \(-0.113998\pi\) |
0.164710 | + | 0.986342i | \(0.447331\pi\) | |||||||
\(192\) | −6.41121 | − | 4.78502i | −0.462689 | − | 0.345329i | ||||
\(193\) | 8.96313 | + | 15.5246i | 0.645180 | + | 1.11749i | 0.984260 | + | 0.176728i | \(0.0565512\pi\) |
−0.339079 | + | 0.940758i | \(0.610116\pi\) | |||||||
\(194\) | 7.19001 | + | 26.5969i | 0.516213 | + | 1.90955i | ||||
\(195\) | −3.36013 | − | 8.11206i | −0.240624 | − | 0.580917i | ||||
\(196\) | −7.15580 | − | 12.0331i | −0.511128 | − | 0.859504i | ||||
\(197\) | −16.1762 | − | 6.70040i | −1.15251 | − | 0.477384i | −0.277133 | − | 0.960832i | \(-0.589384\pi\) |
−0.875373 | + | 0.483448i | \(0.839384\pi\) | |||||||
\(198\) | 3.39113 | − | 2.61410i | 0.240997 | − | 0.185776i | ||||
\(199\) | 0.887080 | − | 3.31063i | 0.0628835 | − | 0.234684i | −0.927330 | − | 0.374244i | \(-0.877902\pi\) |
0.990214 | + | 0.139560i | \(0.0445688\pi\) | |||||||
\(200\) | 14.0292 | + | 23.9295i | 0.992018 | + | 1.69207i | ||||
\(201\) | −9.06642 | + | 2.42934i | −0.639496 | + | 0.171352i | ||||
\(202\) | −5.34769 | + | 2.22902i | −0.376262 | + | 0.156834i | ||||
\(203\) | −15.2758 | − | 6.25192i | −1.07215 | − | 0.438799i | ||||
\(204\) | −0.825869 | + | 0.346395i | −0.0578224 | + | 0.0242525i | ||||
\(205\) | 5.30248 | − | 40.2764i | 0.370342 | − | 2.81302i | ||||
\(206\) | 8.02321 | − | 4.65601i | 0.559004 | − | 0.324400i | ||||
\(207\) | 0.367334 | + | 0.636241i | 0.0255315 | + | 0.0442218i | ||||
\(208\) | −9.05941 | − | 1.11085i | −0.628157 | − | 0.0770235i | ||||
\(209\) | 9.85654 | 0.681791 | ||||||||
\(210\) | −7.11839 | + | 12.5151i | −0.491216 | + | 0.863626i | ||||
\(211\) | −8.18134 | − | 19.7515i | −0.563227 | − | 1.35975i | −0.907172 | − | 0.420760i | \(-0.861764\pi\) |
0.343945 | − | 0.938990i | \(-0.388236\pi\) | |||||||
\(212\) | 22.1913 | − | 17.1853i | 1.52411 | − | 1.18029i | ||||
\(213\) | 0.523550 | + | 3.97676i | 0.0358731 | + | 0.272483i | ||||
\(214\) | −6.19329 | + | 8.10851i | −0.423365 | + | 0.554286i | ||||
\(215\) | −8.82466 | − | 32.9341i | −0.601837 | − | 2.24609i | ||||
\(216\) | −2.60585 | + | 1.09979i | −0.177306 | + | 0.0748314i | ||||
\(217\) | 18.3573 | + | 4.83577i | 1.24618 | + | 0.328274i | ||||
\(218\) | 10.8771 | + | 4.47714i | 0.736689 | + | 0.303230i | ||||
\(219\) | 7.84245 | + | 10.2205i | 0.529944 | + | 0.690636i | ||||
\(220\) | −5.93059 | + | 22.5334i | −0.399840 | + | 1.51920i | ||||
\(221\) | −0.622011 | + | 0.810620i | −0.0418410 | + | 0.0545282i | ||||
\(222\) | −2.54268 | − | 9.40573i | −0.170653 | − | 0.631271i | ||||
\(223\) | 8.04818 | 0.538946 | 0.269473 | − | 0.963008i | \(-0.413150\pi\) | ||||
0.269473 | + | 0.963008i | \(0.413150\pi\) | |||||||
\(224\) | 7.68125 | + | 12.8452i | 0.513225 | + | 0.858254i | ||||
\(225\) | 9.80713 | 0.653809 | ||||||||
\(226\) | 0.959640 | + | 3.54985i | 0.0638343 | + | 0.236132i | ||||
\(227\) | 8.99267 | − | 11.7195i | 0.596865 | − | 0.777849i | −0.393050 | − | 0.919517i | \(-0.628580\pi\) |
0.989914 | + | 0.141668i | \(0.0452466\pi\) | |||||||
\(228\) | −6.29659 | − | 1.65720i | −0.417002 | − | 0.109751i | ||||
\(229\) | 0.522832 | + | 0.681368i | 0.0345497 | + | 0.0450261i | 0.810309 | − | 0.586003i | \(-0.199299\pi\) |
−0.775759 | + | 0.631029i | \(0.782633\pi\) | |||||||
\(230\) | −3.69705 | − | 1.52175i | −0.243776 | − | 0.100341i | ||||
\(231\) | −7.72863 | + | 2.10593i | −0.508506 | + | 0.138560i | ||||
\(232\) | 16.3468 | + | 6.64370i | 1.07322 | + | 0.436180i | ||||
\(233\) | 6.53542 | + | 24.3905i | 0.428149 | + | 1.59788i | 0.756948 | + | 0.653475i | \(0.226690\pi\) |
−0.328799 | + | 0.944400i | \(0.606644\pi\) | |||||||
\(234\) | −1.95876 | + | 2.56449i | −0.128048 | + | 0.167646i | ||||
\(235\) | −1.26110 | − | 9.57902i | −0.0822652 | − | 0.624866i | ||||
\(236\) | −0.545169 | − | 0.703976i | −0.0354875 | − | 0.0458249i | ||||
\(237\) | −1.60048 | − | 3.86390i | −0.103962 | − | 0.250987i | ||||
\(238\) | 1.67543 | − | 0.0108051i | 0.108602 | − | 0.000700392i | ||||
\(239\) | 26.6227 | 1.72208 | 0.861040 | − | 0.508538i | \(-0.169814\pi\) | ||||
0.861040 | + | 0.508538i | \(0.169814\pi\) | |||||||
\(240\) | 7.57720 | − | 13.3978i | 0.489106 | − | 0.864822i | ||||
\(241\) | 3.27288 | + | 5.66880i | 0.210825 | + | 0.365159i | 0.951973 | − | 0.306182i | \(-0.0990517\pi\) |
−0.741148 | + | 0.671342i | \(0.765718\pi\) | |||||||
\(242\) | 2.24249 | − | 1.30136i | 0.144153 | − | 0.0836544i | ||||
\(243\) | −0.130526 | + | 0.991445i | −0.00837326 | + | 0.0636012i | ||||
\(244\) | 5.61940 | + | 13.3977i | 0.359745 | + | 0.857699i | ||||
\(245\) | 21.2304 | − | 16.5777i | 1.35636 | − | 1.05911i | ||||
\(246\) | −13.7808 | + | 5.74413i | −0.878634 | + | 0.366232i | ||||
\(247\) | −7.17535 | + | 1.92263i | −0.456557 | + | 0.122334i | ||||
\(248\) | −19.6374 | − | 5.12173i | −1.24698 | − | 0.325230i | ||||
\(249\) | 1.29907 | − | 4.84820i | 0.0823254 | − | 0.307242i | ||||
\(250\) | −20.7186 | + | 15.9712i | −1.31036 | + | 1.01011i | ||||
\(251\) | 4.89635 | + | 2.02814i | 0.309055 | + | 0.128015i | 0.531820 | − | 0.846857i | \(-0.321508\pi\) |
−0.222765 | + | 0.974872i | \(0.571508\pi\) | |||||||
\(252\) | 5.29130 | − | 0.0458858i | 0.333321 | − | 0.00289053i | ||||
\(253\) | −0.851208 | − | 2.05500i | −0.0535150 | − | 0.129197i | ||||
\(254\) | 3.28662 | + | 12.1577i | 0.206221 | + | 0.762840i | ||||
\(255\) | −0.861541 | − | 1.49223i | −0.0539518 | − | 0.0934472i | ||||
\(256\) | −8.24510 | − | 13.7120i | −0.515319 | − | 0.856999i | ||||
\(257\) | −23.9284 | − | 13.8151i | −1.49261 | − | 0.861761i | −0.492650 | − | 0.870228i | \(-0.663972\pi\) |
−0.999964 | + | 0.00846689i | \(0.997305\pi\) | |||||||
\(258\) | −8.84095 | + | 8.88034i | −0.550414 | + | 0.552866i | ||||
\(259\) | −2.30285 | + | 18.0821i | −0.143092 | + | 1.12357i | ||||
\(260\) | −0.0780619 | − | 17.5607i | −0.00484119 | − | 1.08907i | ||||
\(261\) | 4.94937 | − | 3.79778i | 0.306358 | − | 0.235077i | ||||
\(262\) | −20.5738 | + | 2.75512i | −1.27105 | + | 0.170212i | ||||
\(263\) | −2.92106 | − | 0.782697i | −0.180121 | − | 0.0482632i | 0.167631 | − | 0.985850i | \(-0.446388\pi\) |
−0.347752 | + | 0.937587i | \(0.613055\pi\) | |||||||
\(264\) | 8.25673 | − | 2.27150i | 0.508166 | − | 0.139801i | ||||
\(265\) | 38.1852 | + | 38.1852i | 2.34570 | + | 2.34570i | ||||
\(266\) | 9.71146 | + | 7.35285i | 0.595448 | + | 0.450832i | ||||
\(267\) | −11.7833 | − | 4.88082i | −0.721128 | − | 0.298701i | ||||
\(268\) | −18.6226 | − | 2.36754i | −1.13756 | − | 0.144621i | ||||
\(269\) | 1.77451 | − | 2.31259i | 0.108194 | − | 0.141001i | −0.736118 | − | 0.676853i | \(-0.763343\pi\) |
0.844312 | + | 0.535853i | \(0.180010\pi\) | |||||||
\(270\) | −2.73142 | − | 4.70676i | −0.166229 | − | 0.286444i | ||||
\(271\) | −26.4299 | − | 15.2593i | −1.60550 | − | 0.926937i | −0.990359 | − | 0.138522i | \(-0.955765\pi\) |
−0.615143 | − | 0.788416i | \(-0.710902\pi\) | |||||||
\(272\) | −1.79107 | + | 0.0159239i | −0.108600 | + | 0.000965527i | ||||
\(273\) | 5.21549 | − | 3.04063i | 0.315656 | − | 0.184027i | ||||
\(274\) | 12.7456 | − | 0.0283286i | 0.769989 | − | 0.00171139i | ||||
\(275\) | −29.4385 | − | 3.87566i | −1.77521 | − | 0.233711i | ||||
\(276\) | 0.198260 | + | 1.45590i | 0.0119339 | + | 0.0876347i | ||||
\(277\) | −22.0675 | + | 2.90524i | −1.32591 | + | 0.174559i | −0.760008 | − | 0.649914i | \(-0.774805\pi\) |
−0.565901 | + | 0.824473i | \(0.691472\pi\) | |||||||
\(278\) | −2.59605 | + | 20.0634i | −0.155701 | + | 1.20332i | ||||
\(279\) | −5.07358 | + | 5.07358i | −0.303747 | + | 0.303747i | ||||
\(280\) | −22.6529 | + | 17.7776i | −1.35377 | + | 1.06242i | ||||
\(281\) | 0.197161 | + | 0.197161i | 0.0117617 | + | 0.0117617i | 0.712963 | − | 0.701201i | \(-0.247353\pi\) |
−0.701201 | + | 0.712963i | \(0.747353\pi\) | |||||||
\(282\) | −2.81227 | + | 2.16787i | −0.167468 | + | 0.129095i | ||||
\(283\) | 3.19411 | + | 24.2616i | 0.189870 | + | 1.44221i | 0.775357 | + | 0.631523i | \(0.217570\pi\) |
−0.585487 | + | 0.810682i | \(0.699097\pi\) | |||||||
\(284\) | −2.04182 | + | 7.75795i | −0.121160 | + | 0.460350i | ||||
\(285\) | 1.63513 | − | 12.4200i | 0.0968567 | − | 0.735700i | ||||
\(286\) | 6.89316 | − | 6.92387i | 0.407601 | − | 0.409417i | ||||
\(287\) | 27.9313 | − | 0.118052i | 1.64873 | − | 0.00696837i | ||||
\(288\) | −5.65650 | + | 0.0628638i | −0.333313 | + | 0.00370428i | ||||
\(289\) | 8.39974 | − | 14.5488i | 0.494103 | − | 0.855811i | ||||
\(290\) | −8.71387 | + | 32.8121i | −0.511696 | + | 1.92680i | ||||
\(291\) | 15.4560 | + | 11.8598i | 0.906050 | + | 0.695236i | ||||
\(292\) | 6.77911 | + | 24.8575i | 0.396717 | + | 1.45467i | ||||
\(293\) | 1.99307 | − | 4.81169i | 0.116436 | − | 0.281102i | −0.854908 | − | 0.518780i | \(-0.826386\pi\) |
0.971344 | + | 0.237678i | \(0.0763864\pi\) | |||||||
\(294\) | −9.18586 | − | 3.69052i | −0.535730 | − | 0.215236i | ||||
\(295\) | 1.21135 | − | 1.21135i | 0.0705276 | − | 0.0705276i | ||||
\(296\) | 2.41465 | − | 19.3365i | 0.140349 | − | 1.12391i | ||||
\(297\) | 0.783613 | − | 2.92448i | 0.0454698 | − | 0.169696i | ||||
\(298\) | −6.37204 | − | 4.86698i | −0.369122 | − | 0.281936i | ||||
\(299\) | 1.02051 | + | 1.32996i | 0.0590178 | + | 0.0769134i | ||||
\(300\) | 18.1544 | + | 7.42543i | 1.04814 | + | 0.428707i | ||||
\(301\) | 21.6205 | − | 9.06276i | 1.24619 | − | 0.522369i | ||||
\(302\) | 0.0408342 | + | 18.3721i | 0.00234975 | + | 1.05720i | ||||
\(303\) | −2.04836 | + | 3.54787i | −0.117675 | + | 0.203820i | ||||
\(304\) | −10.4011 | − | 7.83516i | −0.596547 | − | 0.449377i | ||||
\(305\) | −24.2078 | + | 13.9764i | −1.38613 | + | 0.800285i | ||||
\(306\) | −0.315413 | + | 0.549126i | −0.0180309 | + | 0.0313914i | ||||
\(307\) | 18.6068 | − | 7.70718i | 1.06194 | − | 0.439872i | 0.217803 | − | 0.975993i | \(-0.430111\pi\) |
0.844141 | + | 0.536121i | \(0.180111\pi\) | |||||||
\(308\) | −15.9013 | − | 1.95332i | −0.906060 | − | 0.111301i | ||||
\(309\) | 2.51016 | − | 6.06006i | 0.142798 | − | 0.344745i | ||||
\(310\) | 5.01051 | − | 38.7235i | 0.284578 | − | 2.19935i | ||||
\(311\) | 24.6148 | + | 6.59553i | 1.39578 | + | 0.373998i | 0.876827 | − | 0.480805i | \(-0.159656\pi\) |
0.518952 | + | 0.854803i | \(0.326322\pi\) | |||||||
\(312\) | −5.56764 | + | 3.26417i | −0.315206 | + | 0.184797i | ||||
\(313\) | −7.12472 | − | 26.5898i | −0.402713 | − | 1.50294i | −0.808235 | − | 0.588860i | \(-0.799577\pi\) |
0.405522 | − | 0.914085i | \(-0.367090\pi\) | |||||||
\(314\) | −9.77422 | − | 4.02319i | −0.551591 | − | 0.227042i | ||||
\(315\) | 1.37152 | + | 10.0881i | 0.0772763 | + | 0.568398i | ||||
\(316\) | −0.0371820 | − | 8.36442i | −0.00209165 | − | 0.470536i | ||||
\(317\) | 2.20633 | + | 0.290469i | 0.123920 | + | 0.0163144i | 0.192231 | − | 0.981350i | \(-0.438428\pi\) |
−0.0683110 | + | 0.997664i | \(0.521761\pi\) | |||||||
\(318\) | 5.09410 | − | 19.1819i | 0.285663 | − | 1.07567i | ||||
\(319\) | −16.3576 | + | 9.44405i | −0.915849 | + | 0.528765i | ||||
\(320\) | 24.1705 | − | 19.0641i | 1.35117 | − | 1.06572i | ||||
\(321\) | 7.21473i | 0.402687i | ||||||||
\(322\) | 0.694322 | − | 2.65974i | 0.0386931 | − | 0.148222i | ||||
\(323\) | −1.34681 | + | 0.557865i | −0.0749382 | + | 0.0310404i | ||||
\(324\) | −0.992291 | + | 1.73648i | −0.0551273 | + | 0.0964711i | ||||
\(325\) | 22.1866 | − | 2.92092i | 1.23069 | − | 0.162024i | ||||
\(326\) | 2.90070 | + | 21.6609i | 0.160655 | + | 1.19968i | ||||
\(327\) | 8.03392 | − | 2.15268i | 0.444277 | − | 0.119044i | ||||
\(328\) | −29.8594 | + | 0.199101i | −1.64871 | + | 0.0109935i | ||||
\(329\) | 6.40935 | − | 1.74645i | 0.353359 | − | 0.0962847i | ||||
\(330\) | 6.33897 | + | 15.2079i | 0.348949 | + | 0.837169i | ||||
\(331\) | −4.41406 | + | 3.38703i | −0.242619 | + | 0.186168i | −0.722912 | − | 0.690940i | \(-0.757197\pi\) |
0.480293 | + | 0.877108i | \(0.340530\pi\) | |||||||
\(332\) | 6.07557 | − | 7.99113i | 0.333440 | − | 0.438570i | ||||
\(333\) | −5.46588 | − | 4.19412i | −0.299528 | − | 0.229836i | ||||
\(334\) | 5.21153 | + | 2.99345i | 0.285162 | + | 0.163794i | ||||
\(335\) | − | 36.1183i | − | 1.97335i | ||||||
\(336\) | 9.82970 | + | 3.92135i | 0.536254 | + | 0.213927i | ||||
\(337\) | 1.48391i | 0.0808335i | 0.999183 | + | 0.0404167i | \(0.0128686\pi\) | ||||
−0.999183 | + | 0.0404167i | \(0.987131\pi\) | |||||||
\(338\) | 5.48948 | − | 9.55705i | 0.298588 | − | 0.519835i | ||||
\(339\) | 2.06289 | + | 1.58292i | 0.112041 | + | 0.0859721i | ||||
\(340\) | −0.464998 | − | 3.41465i | −0.0252181 | − | 0.185185i | ||||
\(341\) | 17.2346 | − | 13.2246i | 0.933306 | − | 0.716151i | ||||
\(342\) | −4.24960 | + | 1.77132i | −0.229792 | + | 0.0957820i | ||||
\(343\) | 13.2608 | + | 12.9287i | 0.716015 | + | 0.698084i | ||||
\(344\) | −23.0896 | + | 9.74489i | −1.24491 | + | 0.525409i | ||||
\(345\) | −2.73067 | + | 0.731682i | −0.147015 | + | 0.0393924i | ||||
\(346\) | 14.1326 | − | 1.89256i | 0.759774 | − | 0.101745i | ||||
\(347\) | 29.0766 | − | 3.82801i | 1.56092 | − | 0.205498i | 0.699962 | − | 0.714181i | \(-0.253200\pi\) |
0.860954 | + | 0.508682i | \(0.169867\pi\) | |||||||
\(348\) | 12.0375 | − | 3.28285i | 0.645275 | − | 0.175979i | ||||
\(349\) | 0.0133367 | − | 0.00552426i | 0.000713900 | − | 0.000295707i | −0.382326 | − | 0.924027i | \(-0.624877\pi\) |
0.383040 | + | 0.923732i | \(0.374877\pi\) | |||||||
\(350\) | −26.1140 | − | 25.7794i | −1.39585 | − | 1.37796i | ||||
\(351\) | 2.28182i | 0.121794i | ||||||||
\(352\) | 17.0042 | + | 2.04668i | 0.906329 | + | 0.109088i | ||||
\(353\) | −3.62649 | + | 2.09376i | −0.193019 | + | 0.111439i | −0.593395 | − | 0.804911i | \(-0.702213\pi\) |
0.400376 | + | 0.916351i | \(0.368879\pi\) | |||||||
\(354\) | −0.608507 | − | 0.161600i | −0.0323418 | − | 0.00858896i | ||||
\(355\) | −15.3026 | − | 2.01462i | −0.812176 | − | 0.106925i | ||||
\(356\) | −18.1171 | − | 17.9568i | −0.960207 | − | 0.951708i | ||||
\(357\) | 0.936853 | − | 0.725184i | 0.0495835 | − | 0.0383808i | ||||
\(358\) | 0.356594 | − | 0.866336i | 0.0188466 | − | 0.0457873i | ||||
\(359\) | −2.68347 | − | 10.0149i | −0.141628 | − | 0.528564i | −0.999882 | − | 0.0153390i | \(-0.995117\pi\) |
0.858254 | − | 0.513225i | \(-0.171549\pi\) | |||||||
\(360\) | −1.49254 | − | 10.7810i | −0.0786637 | − | 0.568207i | ||||
\(361\) | 8.11537 | + | 2.17451i | 0.427125 | + | 0.114448i | ||||
\(362\) | −23.0204 | − | 2.97866i | −1.20993 | − | 0.156555i | ||||
\(363\) | 0.701590 | − | 1.69379i | 0.0368239 | − | 0.0889008i | ||||
\(364\) | 11.9568 | − | 1.67975i | 0.626708 | − | 0.0880429i | ||||
\(365\) | −45.7990 | + | 18.9706i | −2.39723 | + | 0.992964i | ||||
\(366\) | 8.90821 | + | 5.11679i | 0.465640 | + | 0.267459i | ||||
\(367\) | 19.1063 | − | 11.0310i | 0.997339 | − | 0.575814i | 0.0898789 | − | 0.995953i | \(-0.471352\pi\) |
0.907460 | + | 0.420139i | \(0.138019\pi\) | |||||||
\(368\) | −0.735318 | + | 2.84519i | −0.0383311 | + | 0.148316i | ||||
\(369\) | −5.27857 | + | 9.14275i | −0.274791 | + | 0.475953i | ||||
\(370\) | 37.4924 | − | 0.0833313i | 1.94914 | − | 0.00433219i | ||||
\(371\) | −22.4785 | + | 29.5524i | −1.16703 | + | 1.53428i | ||||
\(372\) | −13.2334 | + | 5.55048i | −0.686118 | + | 0.287779i | ||||
\(373\) | 10.3123 | + | 13.4393i | 0.533952 | + | 0.695859i | 0.979966 | − | 0.199167i | \(-0.0638235\pi\) |
−0.446014 | + | 0.895026i | \(0.647157\pi\) | |||||||
\(374\) | 1.16380 | − | 1.52369i | 0.0601785 | − | 0.0787881i | ||||
\(375\) | −4.78760 | + | 17.8676i | −0.247231 | + | 0.922677i | ||||
\(376\) | −6.84730 | + | 1.88375i | −0.353123 | + | 0.0971471i | ||||
\(377\) | 10.0658 | − | 10.0658i | 0.518415 | − | 0.518415i | ||||
\(378\) | 2.95371 | − | 2.29687i | 0.151922 | − | 0.118138i | ||||
\(379\) | 1.79984 | − | 4.34521i | 0.0924517 | − | 0.223198i | −0.870889 | − | 0.491480i | \(-0.836456\pi\) |
0.963340 | + | 0.268282i | \(0.0864559\pi\) | |||||||
\(380\) | 12.4306 | − | 21.7532i | 0.637678 | − | 1.11592i | ||||
\(381\) | 7.06509 | + | 5.42124i | 0.361956 | + | 0.277738i | ||||
\(382\) | 24.0211 | + | 6.37925i | 1.22903 | + | 0.326391i | ||||
\(383\) | −14.9605 | + | 25.9124i | −0.764447 | + | 1.32406i | 0.176091 | + | 0.984374i | \(0.443655\pi\) |
−0.940538 | + | 0.339688i | \(0.889679\pi\) | |||||||
\(384\) | −10.5186 | − | 4.16643i | −0.536775 | − | 0.212617i | ||||
\(385\) | −0.130277 | − | 30.8238i | −0.00663952 | − | 1.57093i | ||||
\(386\) | 17.9661 | + | 17.8864i | 0.914449 | + | 0.910393i | ||||
\(387\) | −1.15655 | + | 8.78486i | −0.0587907 | + | 0.446560i | ||||
\(388\) | 19.6317 | + | 33.6567i | 0.996650 | + | 1.70866i | ||||
\(389\) | 2.56280 | + | 19.4664i | 0.129939 | + | 0.986986i | 0.924869 | + | 0.380285i | \(0.124174\pi\) |
−0.794930 | + | 0.606701i | \(0.792493\pi\) | |||||||
\(390\) | −7.58112 | − | 9.83457i | −0.383885 | − | 0.497993i | ||||
\(391\) | 0.232619 | + | 0.232619i | 0.0117641 | + | 0.0117641i | ||||
\(392\) | −14.2101 | − | 13.7867i | −0.717718 | − | 0.696334i | ||||
\(393\) | −10.3787 | + | 10.3787i | −0.523537 | + | 0.523537i | ||||
\(394\) | −24.5567 | − | 3.17745i | −1.23715 | − | 0.160077i | ||||
\(395\) | 15.9556 | − | 2.10060i | 0.802816 | − | 0.105693i | ||||
\(396\) | 3.66484 | − | 4.82033i | 0.184165 | − | 0.242231i | ||||
\(397\) | 5.56171 | + | 0.732213i | 0.279134 | + | 0.0367487i | 0.268794 | − | 0.963198i | \(-0.413375\pi\) |
0.0103407 | + | 0.999947i | \(0.496708\pi\) | |||||||
\(398\) | −0.0107732 | − | 4.84709i | −0.000540013 | − | 0.242962i | ||||
\(399\) | 8.61319 | − | 0.0364036i | 0.431199 | − | 0.00182246i | ||||
\(400\) | 27.9843 | + | 27.4911i | 1.39921 | + | 1.37455i | ||||
\(401\) | 10.2375 | + | 5.91061i | 0.511235 | + | 0.295162i | 0.733341 | − | 0.679861i | \(-0.237960\pi\) |
−0.222106 | + | 0.975023i | \(0.571293\pi\) | |||||||
\(402\) | −11.4810 | + | 6.66262i | −0.572619 | + | 0.332301i | ||||
\(403\) | −9.96683 | + | 12.9890i | −0.496483 | + | 0.647029i | ||||
\(404\) | −6.47807 | + | 5.01670i | −0.322296 | + | 0.249590i | ||||
\(405\) | −3.55509 | − | 1.47257i | −0.176654 | − | 0.0731725i | ||||
\(406\) | −23.1619 | − | 2.89749i | −1.14951 | − | 0.143800i | ||||
\(407\) | 14.7497 | + | 14.7497i | 0.731117 | + | 0.731117i | ||||
\(408\) | −0.999642 | + | 0.777697i | −0.0494897 | + | 0.0385017i | ||||
\(409\) | 10.5158 | + | 2.81770i | 0.519974 | + | 0.139327i | 0.509254 | − | 0.860616i | \(-0.329921\pi\) |
0.0107192 | + | 0.999943i | \(0.496588\pi\) | |||||||
\(410\) | −7.62543 | − | 56.9426i | −0.376593 | − | 2.81219i | ||||
\(411\) | 7.15011 | − | 5.48647i | 0.352689 | − | 0.270628i | ||||
\(412\) | 9.23501 | − | 9.31748i | 0.454976 | − | 0.459039i | ||||
\(413\) | 0.937492 | + | 0.713088i | 0.0461310 | + | 0.0350888i | ||||
\(414\) | 0.736298 | + | 0.733033i | 0.0361871 | + | 0.0360266i | ||||
\(415\) | 16.7264 | + | 9.65701i | 0.821068 | + | 0.474044i | ||||
\(416\) | −12.7780 | + | 1.82693i | −0.626491 | + | 0.0895727i | ||||
\(417\) | 7.15263 | + | 12.3887i | 0.350266 | + | 0.606678i | ||||
\(418\) | 13.4562 | − | 3.63766i | 0.658166 | − | 0.177924i | ||||
\(419\) | −12.2309 | − | 29.5280i | −0.597519 | − | 1.44254i | −0.876102 | − | 0.482125i | \(-0.839865\pi\) |
0.278584 | − | 0.960412i | \(-0.410135\pi\) | |||||||
\(420\) | −5.09925 | + | 19.7129i | −0.248818 | + | 0.961890i | ||||
\(421\) | −1.40295 | − | 0.581121i | −0.0683756 | − | 0.0283221i | 0.348234 | − | 0.937408i | \(-0.386782\pi\) |
−0.416609 | + | 0.909086i | \(0.636782\pi\) | |||||||
\(422\) | −18.4587 | − | 23.9455i | −0.898557 | − | 1.16565i | ||||
\(423\) | −0.649850 | + | 2.42527i | −0.0315968 | + | 0.117921i | ||||
\(424\) | 23.9534 | − | 31.6514i | 1.16328 | − | 1.53713i | ||||
\(425\) | 4.24186 | − | 1.13660i | 0.205760 | − | 0.0551333i | ||||
\(426\) | 2.18242 | + | 5.23588i | 0.105739 | + | 0.253679i | ||||
\(427\) | −11.7643 | − | 15.1981i | −0.569315 | − | 0.735489i | ||||
\(428\) | −5.46260 | + | 13.3555i | −0.264045 | + | 0.645563i | ||||
\(429\) | 0.901745 | − | 6.84943i | 0.0435367 | − | 0.330694i | ||||
\(430\) | −24.2022 | − | 41.7051i | −1.16713 | − | 2.01120i | ||||
\(431\) | 17.3037 | + | 29.9710i | 0.833492 | + | 1.44365i | 0.895252 | + | 0.445560i | \(0.146995\pi\) |
−0.0617598 | + | 0.998091i | \(0.519671\pi\) | |||||||
\(432\) | −3.15164 | + | 2.46316i | −0.151633 | + | 0.118509i | ||||
\(433\) | −27.0265 | −1.29881 | −0.649406 | − | 0.760442i | \(-0.724982\pi\) | ||||
−0.649406 | + | 0.760442i | \(0.724982\pi\) | |||||||
\(434\) | 26.8463 | − | 0.173137i | 1.28866 | − | 0.00831082i | ||||
\(435\) | 9.18667 | + | 22.1786i | 0.440467 | + | 1.06338i | ||||
\(436\) | 16.5018 | + | 2.09792i | 0.790294 | + | 0.100472i | ||||
\(437\) | 0.312182 | + | 2.37126i | 0.0149337 | + | 0.113433i | ||||
\(438\) | 14.4786 | + | 11.0588i | 0.691813 | + | 0.528408i | ||||
\(439\) | −3.09777 | − | 11.5610i | −0.147849 | − | 0.551778i | −0.999612 | − | 0.0278518i | \(-0.991133\pi\) |
0.851764 | − | 0.523926i | \(-0.175533\pi\) | |||||||
\(440\) | 0.219719 | + | 32.9516i | 0.0104747 | + | 1.57091i | ||||
\(441\) | −6.74592 | + | 1.86882i | −0.321235 | + | 0.0889915i | ||||
\(442\) | −0.550006 | + | 1.33623i | −0.0261611 | + | 0.0635578i | ||||
\(443\) | −19.1606 | − | 24.9705i | −0.910346 | − | 1.18639i | −0.981986 | − | 0.188955i | \(-0.939490\pi\) |
0.0716398 | − | 0.997431i | \(-0.477177\pi\) | |||||||
\(444\) | −6.94257 | − | 11.9024i | −0.329480 | − | 0.564862i | ||||
\(445\) | 29.8769 | − | 38.9363i | 1.41630 | − | 1.84576i | ||||
\(446\) | 10.9874 | − | 2.97027i | 0.520271 | − | 0.140646i | ||||
\(447\) | −5.66967 | −0.268166 | ||||||||
\(448\) | 15.2272 | + | 14.7015i | 0.719415 | + | 0.694580i | ||||
\(449\) | −26.3026 | −1.24130 | −0.620649 | − | 0.784089i | \(-0.713131\pi\) | ||||
−0.620649 | + | 0.784089i | \(0.713131\pi\) | |||||||
\(450\) | 13.3888 | − | 3.61943i | 0.631153 | − | 0.170621i | ||||
\(451\) | 19.4580 | − | 25.3582i | 0.916243 | − | 1.19407i | ||||
\(452\) | 2.62022 | + | 4.49211i | 0.123245 | + | 0.211291i | ||||
\(453\) | 7.90847 | + | 10.3065i | 0.371572 | + | 0.484242i | ||||
\(454\) | 7.95167 | − | 19.3184i | 0.373191 | − | 0.906656i | ||||
\(455\) | 6.10737 | + | 22.4137i | 0.286318 | + | 1.05077i | ||||
\(456\) | −9.20777 | + | 0.0613969i | −0.431193 | + | 0.00287517i | ||||
\(457\) | −9.89024 | − | 36.9109i | −0.462646 | − | 1.72662i | −0.664578 | − | 0.747219i | \(-0.731389\pi\) |
0.201933 | − | 0.979399i | \(-0.435278\pi\) | |||||||
\(458\) | 0.965241 | + | 0.737253i | 0.0451028 | + | 0.0344496i | ||||
\(459\) | 0.0584478 | + | 0.443955i | 0.00272811 | + | 0.0207220i | ||||
\(460\) | −5.60886 | − | 0.713070i | −0.261514 | − | 0.0332471i | ||||
\(461\) | −5.63575 | − | 13.6059i | −0.262483 | − | 0.633690i | 0.736608 | − | 0.676320i | \(-0.236426\pi\) |
−0.999091 | + | 0.0426299i | \(0.986426\pi\) | |||||||
\(462\) | −9.77397 | + | 5.72736i | −0.454726 | + | 0.266461i | ||||
\(463\) | −14.1128 | −0.655878 | −0.327939 | − | 0.944699i | \(-0.606354\pi\) | ||||
−0.327939 | + | 0.944699i | \(0.606354\pi\) | |||||||
\(464\) | 24.7687 | + | 3.03709i | 1.14986 | + | 0.140993i | ||||
\(465\) | −13.8049 | − | 23.9109i | −0.640189 | − | 1.10884i | ||||
\(466\) | 17.9238 | + | 30.8862i | 0.830303 | + | 1.43077i | ||||
\(467\) | −3.96595 | + | 30.1244i | −0.183522 | + | 1.39399i | 0.613335 | + | 0.789823i | \(0.289828\pi\) |
−0.796857 | + | 0.604167i | \(0.793506\pi\) | |||||||
\(468\) | −1.72767 | + | 4.22397i | −0.0798614 | + | 0.195253i | ||||
\(469\) | 24.6073 | − | 3.34548i | 1.13626 | − | 0.154480i | ||||
\(470\) | −5.25691 | − | 12.6119i | −0.242483 | − | 0.581745i | ||||
\(471\) | −7.21933 | + | 1.93441i | −0.332649 | + | 0.0891331i | ||||
\(472\) | −1.00408 | − | 0.759874i | −0.0462165 | − | 0.0349760i | ||||
\(473\) | 6.94334 | − | 25.9129i | 0.319255 | − | 1.19148i | ||||
\(474\) | −3.61100 | − | 4.68435i | −0.165859 | − | 0.215159i | ||||
\(475\) | 29.4969 | + | 12.2180i | 1.35341 | + | 0.560601i | ||||
\(476\) | 2.28332 | − | 0.633085i | 0.104656 | − | 0.0290174i | ||||
\(477\) | −5.37050 | − | 12.9655i | −0.245898 | − | 0.593651i | ||||
\(478\) | 36.3455 | − | 9.82539i | 1.66241 | − | 0.449403i | ||||
\(479\) | 9.31351 | + | 16.1315i | 0.425545 | + | 0.737066i | 0.996471 | − | 0.0839357i | \(-0.0267490\pi\) |
−0.570926 | + | 0.821001i | \(0.693416\pi\) | |||||||
\(480\) | 5.39986 | − | 21.0872i | 0.246469 | − | 0.962494i | ||||
\(481\) | −13.6146 | − | 7.86039i | −0.620772 | − | 0.358403i | ||||
\(482\) | 6.56030 | + | 6.53120i | 0.298813 | + | 0.297488i | ||||
\(483\) | −0.751423 | − | 1.79263i | −0.0341909 | − | 0.0815674i | ||||
\(484\) | 2.58119 | − | 2.60424i | 0.117327 | − | 0.118374i | ||||
\(485\) | −59.4749 | + | 45.6367i | −2.70062 | + | 2.07226i | ||||
\(486\) | 0.187708 | + | 1.40170i | 0.00851460 | + | 0.0635824i | ||||
\(487\) | 31.4283 | + | 8.42118i | 1.42415 | + | 0.381600i | 0.886955 | − | 0.461857i | \(-0.152817\pi\) |
0.537197 | + | 0.843457i | \(0.319483\pi\) | |||||||
\(488\) | 12.6162 | + | 16.2167i | 0.571109 | + | 0.734097i | ||||
\(489\) | 10.9271 | + | 10.9271i | 0.494141 | + | 0.494141i | ||||
\(490\) | 22.8658 | − | 30.4673i | 1.03297 | − | 1.37637i | ||||
\(491\) | 7.09858 | + | 2.94033i | 0.320355 | + | 0.132695i | 0.537065 | − | 0.843541i | \(-0.319533\pi\) |
−0.216711 | + | 0.976236i | \(0.569533\pi\) | |||||||
\(492\) | −16.6938 | + | 12.9279i | −0.752614 | + | 0.582834i | ||||
\(493\) | 1.70059 | − | 2.21626i | 0.0765909 | − | 0.0998151i | ||||
\(494\) | −9.08629 | + | 5.27293i | −0.408811 | + | 0.237240i | ||||
\(495\) | 10.0895 | + | 5.82520i | 0.453491 | + | 0.261823i | ||||
\(496\) | −28.6994 | + | 0.255157i | −1.28864 | + | 0.0114569i | ||||
\(497\) | −0.0448525 | − | 10.6122i | −0.00201191 | − | 0.476022i | ||||
\(498\) | −0.0157767 | − | 7.09825i | −0.000706971 | − | 0.318080i | ||||
\(499\) | −24.3161 | − | 3.20128i | −1.08854 | − | 0.143309i | −0.435170 | − | 0.900348i | \(-0.643312\pi\) |
−0.653369 | + | 0.757040i | \(0.726645\pi\) | |||||||
\(500\) | −22.3909 | + | 29.4505i | −1.00135 | + | 1.31707i | ||||
\(501\) | 4.21340 | − | 0.554704i | 0.188241 | − | 0.0247824i | ||||
\(502\) | 7.43305 | + | 0.961777i | 0.331753 | + | 0.0429262i | ||||
\(503\) | −5.26878 | + | 5.26878i | −0.234923 | + | 0.234923i | −0.814744 | − | 0.579821i | \(-0.803123\pi\) |
0.579821 | + | 0.814744i | \(0.303123\pi\) | |||||||
\(504\) | 7.20680 | − | 2.01546i | 0.321016 | − | 0.0897755i | ||||
\(505\) | −11.1470 | − | 11.1470i | −0.496034 | − | 0.496034i | ||||
\(506\) | −1.92050 | − | 2.49135i | −0.0853765 | − | 0.110754i | ||||
\(507\) | −1.01723 | − | 7.72665i | −0.0451769 | − | 0.343152i | ||||
\(508\) | 8.97383 | + | 15.3848i | 0.398149 | + | 0.682589i | ||||
\(509\) | 4.92009 | − | 37.3718i | 0.218079 | − | 1.65647i | −0.435925 | − | 0.899983i | \(-0.643579\pi\) |
0.654004 | − | 0.756491i | \(-0.273088\pi\) | |||||||
\(510\) | −1.72691 | − | 1.71925i | −0.0764687 | − | 0.0761296i | ||||
\(511\) | −17.1667 | − | 29.4455i | −0.759412 | − | 1.30259i | ||||
\(512\) | −16.3168 | − | 15.6768i | −0.721109 | − | 0.692822i | ||||
\(513\) | −1.62776 | + | 2.81935i | −0.0718671 | + | 0.124478i | ||||
\(514\) | −37.7659 | − | 10.0294i | −1.66578 | − | 0.442379i | ||||
\(515\) | 20.0246 | + | 15.3654i | 0.882389 | + | 0.677081i | ||||
\(516\) | −8.79236 | + | 15.3864i | −0.387062 | + | 0.677347i | ||||
\(517\) | 2.90912 | − | 7.02325i | 0.127943 | − | 0.308882i | ||||
\(518\) | 3.52952 | + | 25.5357i | 0.155078 | + | 1.12198i | ||||
\(519\) | 7.12938 | − | 7.12938i | 0.312945 | − | 0.312945i | ||||
\(520\) | −6.58753 | − | 23.9452i | −0.288882 | − | 1.05007i | ||||
\(521\) | −2.68757 | + | 10.0302i | −0.117745 | + | 0.439429i | −0.999478 | − | 0.0323197i | \(-0.989711\pi\) |
0.881733 | + | 0.471749i | \(0.156377\pi\) | |||||||
\(522\) | 5.35530 | − | 7.01138i | 0.234395 | − | 0.306880i | ||||
\(523\) | 13.1359 | + | 17.1190i | 0.574392 | + | 0.748562i | 0.986712 | − | 0.162477i | \(-0.0519482\pi\) |
−0.412320 | + | 0.911039i | \(0.635282\pi\) | |||||||
\(524\) | −27.0707 | + | 11.3543i | −1.18259 | + | 0.496014i | ||||
\(525\) | −25.7393 | − | 3.27804i | −1.12336 | − | 0.143065i | ||||
\(526\) | −4.27673 | + | 0.00950553i | −0.186474 | + | 0.000414461i | ||||
\(527\) | −1.60646 | + | 2.78247i | −0.0699785 | + | 0.121206i | ||||
\(528\) | 10.4338 | − | 6.14830i | 0.454074 | − | 0.267570i | ||||
\(529\) | −19.4512 | + | 11.2301i | −0.845703 | + | 0.488267i | ||||
\(530\) | 66.2234 | + | 38.0381i | 2.87656 | + | 1.65227i | ||||
\(531\) | −0.411306 | + | 0.170368i | −0.0178492 | + | 0.00739336i | ||||
\(532\) | 15.9718 | + | 6.45405i | 0.692466 | + | 0.279819i | ||||
\(533\) | −9.21863 | + | 22.2557i | −0.399303 | + | 0.964003i | ||||
\(534\) | −17.8880 | − | 2.31457i | −0.774091 | − | 0.100161i | ||||
\(535\) | −26.8163 | − | 7.18542i | −1.15937 | − | 0.310653i | ||||
\(536\) | −26.2975 | + | 3.64068i | −1.13588 | + | 0.157253i | ||||
\(537\) | −0.171456 | − | 0.639884i | −0.00739889 | − | 0.0276130i | ||||
\(538\) | 1.56909 | − | 3.81206i | 0.0676483 | − | 0.164350i | ||||
\(539\) | 20.9881 | − | 2.94383i | 0.904021 | − | 0.126800i | ||||
\(540\) | −5.46604 | − | 5.41765i | −0.235221 | − | 0.233139i | ||||
\(541\) | 9.93779 | + | 1.30834i | 0.427259 | + | 0.0562497i | 0.341090 | − | 0.940031i | \(-0.389204\pi\) |
0.0861695 | + | 0.996280i | \(0.472537\pi\) | |||||||
\(542\) | −41.7139 | − | 11.0779i | −1.79177 | − | 0.475837i | ||||
\(543\) | −14.2146 | + | 8.20681i | −0.610007 | + | 0.352188i | ||||
\(544\) | −2.43931 | + | 0.682754i | −0.104585 | + | 0.0292728i | ||||
\(545\) | 32.0051i | 1.37095i | ||||||||
\(546\) | 5.99806 | − | 6.07592i | 0.256693 | − | 0.260026i | ||||
\(547\) | 18.1570 | − | 7.52089i | 0.776339 | − | 0.321570i | 0.0409018 | − | 0.999163i | \(-0.486977\pi\) |
0.735437 | + | 0.677593i | \(0.236977\pi\) | |||||||
\(548\) | 17.3899 | − | 4.74257i | 0.742861 | − | 0.202592i | ||||
\(549\) | 7.20207 | − | 0.948171i | 0.307377 | − | 0.0404669i | ||||
\(550\) | −41.6201 | + | 5.57352i | −1.77469 | + | 0.237656i | ||||
\(551\) | 19.6176 | − | 5.25652i | 0.835738 | − | 0.223935i | ||||
\(552\) | 0.807981 | + | 1.91443i | 0.0343900 | + | 0.0814837i | ||||
\(553\) | 2.90903 | + | 10.6760i | 0.123705 | + | 0.453988i | ||||
\(554\) | −29.0546 | + | 12.1105i | −1.23441 | + | 0.514527i | ||||
\(555\) | 21.0327 | − | 16.1390i | 0.892790 | − | 0.685062i | ||||
\(556\) | 3.86048 | + | 28.3489i | 0.163721 | + | 1.20226i | ||||
\(557\) | −16.1585 | − | 12.3988i | −0.684657 | − | 0.525356i | 0.206844 | − | 0.978374i | \(-0.433681\pi\) |
−0.891501 | + | 0.453018i | \(0.850347\pi\) | |||||||
\(558\) | −5.05403 | + | 8.79895i | −0.213954 | + | 0.372489i | ||||
\(559\) | 20.2184i | 0.855148i | ||||||||
\(560\) | −24.3650 | + | 32.6305i | −1.02961 | + | 1.37889i | ||||
\(561\) | − | 1.35574i | − | 0.0572393i | ||||||
\(562\) | 0.341931 | + | 0.196402i | 0.0144235 | + | 0.00828471i | ||||
\(563\) | 4.34705 | + | 3.33561i | 0.183206 | + | 0.140579i | 0.696293 | − | 0.717758i | \(-0.254831\pi\) |
−0.513087 | + | 0.858337i | \(0.671498\pi\) | |||||||
\(564\) | −3.03925 | + | 3.99750i | −0.127976 | + | 0.168325i | ||||
\(565\) | −7.93803 | + | 6.09106i | −0.333955 | + | 0.256253i | ||||
\(566\) | 13.3146 | + | 31.9434i | 0.559656 | + | 1.34268i | ||||
\(567\) | 0.673964 | − | 2.55847i | 0.0283038 | − | 0.107446i | ||||
\(568\) | 0.0756463 | + | 11.3448i | 0.00317405 | + | 0.476016i | ||||
\(569\) | −0.503718 | + | 0.134971i | −0.0211170 | + | 0.00565827i | −0.269362 | − | 0.963039i | \(-0.586813\pi\) |
0.248245 | + | 0.968697i | \(0.420146\pi\) | |||||||
\(570\) | −2.35146 | − | 17.5594i | −0.0984917 | − | 0.735483i | ||||
\(571\) | −33.0753 | + | 4.35445i | −1.38416 | + | 0.182228i | −0.785543 | − | 0.618807i | \(-0.787616\pi\) |
−0.598617 | + | 0.801035i | \(0.704283\pi\) | |||||||
\(572\) | 6.85528 | − | 11.9965i | 0.286634 | − | 0.501600i | ||||
\(573\) | 16.2365 | − | 6.72538i | 0.678289 | − | 0.280957i | ||||
\(574\) | 38.0885 | − | 10.4695i | 1.58978 | − | 0.436989i | ||||
\(575\) | − | 7.20498i | − | 0.300468i | ||||||
\(576\) | −7.69911 | + | 2.17342i | −0.320796 | + | 0.0905590i | ||||
\(577\) | 19.2073 | − | 11.0893i | 0.799609 | − | 0.461654i | −0.0437256 | − | 0.999044i | \(-0.513923\pi\) |
0.843334 | + | 0.537389i | \(0.180589\pi\) | |||||||
\(578\) | 6.09802 | − | 22.9621i | 0.253644 | − | 0.955099i | ||||
\(579\) | 17.7729 | + | 2.33985i | 0.738617 | + | 0.0972407i | ||||
\(580\) | 0.213423 | + | 48.0114i | 0.00886191 | + | 1.99356i | ||||
\(581\) | −5.03000 | + | 12.2902i | −0.208679 | + | 0.509881i | ||||
\(582\) | 25.4777 | + | 10.4869i | 1.05609 | + | 0.434698i | ||||
\(583\) | 10.9971 | + | 41.0416i | 0.455452 | + | 1.69977i | ||||
\(584\) | 18.4288 | + | 31.4337i | 0.762590 | + | 1.30074i | ||||
\(585\) | −8.48125 | − | 2.27254i | −0.350656 | − | 0.0939581i | ||||
\(586\) | 0.945146 | − | 7.30452i | 0.0390436 | − | 0.301747i | ||||
\(587\) | 7.39672 | − | 17.8573i | 0.305295 | − | 0.737048i | −0.694550 | − | 0.719445i | \(-0.744396\pi\) |
0.999845 | − | 0.0176032i | \(-0.00560357\pi\) | |||||||
\(588\) | −13.9026 | − | 1.64819i | −0.573335 | − | 0.0679702i | ||||
\(589\) | −21.5806 | + | 8.93898i | −0.889214 | + | 0.368324i | ||||
\(590\) | 1.20668 | − | 2.10081i | 0.0496784 | − | 0.0864889i | ||||
\(591\) | −15.1632 | + | 8.75450i | −0.623732 | + | 0.360112i | ||||
\(592\) | −3.83985 | − | 27.2895i | −0.157817 | − | 1.12159i | ||||
\(593\) | −7.51187 | + | 13.0109i | −0.308475 | + | 0.534295i | −0.978029 | − | 0.208469i | \(-0.933152\pi\) |
0.669554 | + | 0.742764i | \(0.266485\pi\) | |||||||
\(594\) | −0.00951666 | − | 4.28173i | −0.000390473 | − | 0.175682i | ||||
\(595\) | 1.76238 | + | 4.20441i | 0.0722505 | + | 0.172364i | ||||
\(596\) | −10.4954 | − | 4.29277i | −0.429907 | − | 0.175839i | ||||
\(597\) | −2.08648 | − | 2.71915i | −0.0853939 | − | 0.111287i | ||||
\(598\) | 1.88405 | + | 1.43904i | 0.0770444 | + | 0.0588467i | ||||
\(599\) | −2.60739 | + | 9.73090i | −0.106535 | + | 0.397594i | −0.998515 | − | 0.0544814i | \(-0.982649\pi\) |
0.891980 | + | 0.452075i | \(0.149316\pi\) | |||||||
\(600\) | 27.5250 | + | 3.43718i | 1.12370 | + | 0.140322i | ||||
\(601\) | 14.1529 | − | 14.1529i | 0.577308 | − | 0.577308i | −0.356853 | − | 0.934161i | \(-0.616150\pi\) |
0.934161 | + | 0.356853i | \(0.116150\pi\) | |||||||
\(602\) | 26.1718 | − | 20.3518i | 1.06668 | − | 0.829479i | ||||
\(603\) | −3.59196 | + | 8.67176i | −0.146276 | + | 0.353142i | ||||
\(604\) | 6.83617 | + | 25.0667i | 0.278160 | + | 1.01995i | ||||
\(605\) | 5.59688 | + | 4.29464i | 0.227545 | + | 0.174602i | ||||
\(606\) | −1.48706 | + | 5.59955i | −0.0604078 | + | 0.227466i | ||||
\(607\) | −6.10829 | + | 10.5799i | −0.247928 | + | 0.429424i | −0.962951 | − | 0.269677i | \(-0.913083\pi\) |
0.715023 | + | 0.699101i | \(0.246416\pi\) | |||||||
\(608\) | −17.0914 | − | 6.85797i | −0.693147 | − | 0.278127i | ||||
\(609\) | −14.2593 | + | 8.31315i | −0.577815 | + | 0.336866i | ||||
\(610\) | −27.8905 | + | 28.0148i | −1.12926 | + | 1.13429i | ||||
\(611\) | −0.747817 | + | 5.68023i | −0.0302534 | + | 0.229798i | ||||
\(612\) | −0.227943 | + | 0.866078i | −0.00921406 | + | 0.0350091i | ||||
\(613\) | −0.0192947 | − | 0.146558i | −0.000779305 | − | 0.00591941i | 0.991051 | − | 0.133485i | \(-0.0426169\pi\) |
−0.991830 | + | 0.127566i | \(0.959284\pi\) | |||||||
\(614\) | 22.5577 | − | 17.3889i | 0.910355 | − | 0.701760i | ||||
\(615\) | −28.7254 | − | 28.7254i | −1.15832 | − | 1.15832i | ||||
\(616\) | −22.4295 | + | 3.20185i | −0.903709 | + | 0.129006i | ||||
\(617\) | 23.0668 | − | 23.0668i | 0.928633 | − | 0.928633i | −0.0689845 | − | 0.997618i | \(-0.521976\pi\) |
0.997618 | + | 0.0689845i | \(0.0219759\pi\) | |||||||
\(618\) | 1.19036 | − | 9.19964i | 0.0478833 | − | 0.370064i | ||||
\(619\) | −21.3472 | + | 2.81041i | −0.858017 | + | 0.112960i | −0.546682 | − | 0.837340i | \(-0.684109\pi\) |
−0.311335 | + | 0.950300i | \(0.600776\pi\) | |||||||
\(620\) | −7.45092 | − | 54.7148i | −0.299236 | − | 2.19740i | ||||
\(621\) | 0.728382 | + | 0.0958933i | 0.0292290 | + | 0.00384807i | ||||
\(622\) | 36.0385 | − | 0.0801000i | 1.44501 | − | 0.00321172i | ||||
\(623\) | 29.2946 | + | 16.7485i | 1.17366 | + | 0.671016i | ||||
\(624\) | −6.39632 | + | 6.51107i | −0.256058 | + | 0.260651i | ||||
\(625\) | −19.1774 | − | 11.0721i | −0.767097 | − | 0.442883i | ||||
\(626\) | −19.5400 | − | 33.6712i | −0.780975 | − | 1.34577i | ||||
\(627\) | 6.00028 | − | 7.81972i | 0.239628 | − | 0.312290i | ||||
\(628\) | −14.8286 | − | 1.88521i | −0.591727 | − | 0.0752280i | ||||
\(629\) | −2.85023 | − | 1.18060i | −0.113646 | − | 0.0470737i | ||||
\(630\) | 5.59551 | + | 13.2661i | 0.222931 | + | 0.528535i | ||||
\(631\) | 16.3447 | + | 16.3447i | 0.650672 | + | 0.650672i | 0.953155 | − | 0.302483i | \(-0.0978156\pi\) |
−0.302483 | + | 0.953155i | \(0.597816\pi\) | |||||||
\(632\) | −3.13774 | − | 11.4055i | −0.124813 | − | 0.453685i | ||||
\(633\) | −20.6504 | − | 5.53326i | −0.820780 | − | 0.219927i | ||||
\(634\) | 3.11931 | − | 0.417720i | 0.123883 | − | 0.0165898i | ||||
\(635\) | −27.1865 | + | 20.8609i | −1.07886 | + | 0.827841i | ||||
\(636\) | −0.124766 | − | 28.0673i | −0.00494731 | − | 1.11294i | ||||
\(637\) | −14.7047 | + | 6.23701i | −0.582620 | + | 0.247119i | ||||
\(638\) | −18.8461 | + | 18.9300i | −0.746123 | + | 0.749447i | ||||
\(639\) | 3.47369 | + | 2.00554i | 0.137417 | + | 0.0793378i | ||||
\(640\) | 25.9620 | − | 34.9469i | 1.02624 | − | 1.38140i | ||||
\(641\) | −12.3239 | − | 21.3457i | −0.486766 | − | 0.843103i | 0.513119 | − | 0.858318i | \(-0.328490\pi\) |
−0.999884 | + | 0.0152148i | \(0.995157\pi\) | |||||||
\(642\) | 2.66267 | + | 9.84962i | 0.105087 | + | 0.388733i | ||||
\(643\) | −10.7342 | − | 25.9147i | −0.423316 | − | 1.02197i | −0.981363 | − | 0.192165i | \(-0.938449\pi\) |
0.558047 | − | 0.829809i | \(-0.311551\pi\) | |||||||
\(644\) | −0.0337108 | − | 3.88735i | −0.00132839 | − | 0.153183i | ||||
\(645\) | −31.5005 | − | 13.0479i | −1.24033 | − | 0.513762i | ||||
\(646\) | −1.63278 | + | 1.25865i | −0.0642410 | + | 0.0495211i | ||||
\(647\) | −6.65723 | + | 24.8451i | −0.261723 | + | 0.976763i | 0.702503 | + | 0.711681i | \(0.252066\pi\) |
−0.964226 | + | 0.265082i | \(0.914601\pi\) | |||||||
\(648\) | −0.713818 | + | 2.73687i | −0.0280414 | + | 0.107514i | ||||
\(649\) | 1.30196 | − | 0.348860i | 0.0511065 | − | 0.0136940i | ||||
\(650\) | 29.2114 | − | 12.1759i | 1.14576 | − | 0.477577i | ||||
\(651\) | 15.0117 | − | 11.6200i | 0.588356 | − | 0.455425i | ||||
\(652\) | 11.9542 | + | 28.5011i | 0.468164 | + | 1.11619i | ||||
\(653\) | 1.86749 | − | 14.1850i | 0.0730804 | − | 0.555100i | −0.915263 | − | 0.402857i | \(-0.868017\pi\) |
0.988343 | − | 0.152243i | \(-0.0486496\pi\) | |||||||
\(654\) | 10.1735 | − | 5.90386i | 0.397816 | − | 0.230859i | ||||
\(655\) | −28.2399 | − | 48.9130i | −1.10343 | − | 1.91119i | ||||
\(656\) | −40.6909 | + | 11.2918i | −1.58871 | + | 0.440869i | ||||
\(657\) | 12.8826 | 0.502600 | ||||||||
\(658\) | 8.10555 | − | 4.74970i | 0.315987 | − | 0.185163i | ||||
\(659\) | −10.9920 | − | 26.5371i | −0.428189 | − | 1.03374i | −0.979862 | − | 0.199678i | \(-0.936010\pi\) |
0.551673 | − | 0.834060i | \(-0.313990\pi\) | |||||||
\(660\) | 14.2667 | + | 18.4225i | 0.555329 | + | 0.717096i | ||||
\(661\) | −0.839586 | − | 6.37729i | −0.0326561 | − | 0.248048i | 0.967329 | − | 0.253525i | \(-0.0815899\pi\) |
−0.999985 | + | 0.00547701i | \(0.998257\pi\) | |||||||
\(662\) | −4.77610 | + | 6.25306i | −0.185628 | + | 0.243032i | ||||
\(663\) | 0.264452 | + | 0.986949i | 0.0102705 | + | 0.0383299i | ||||
\(664\) | 5.34520 | − | 13.1518i | 0.207434 | − | 0.510389i | ||||
\(665\) | −8.44289 | + | 32.0505i | −0.327401 | + | 1.24287i | ||||
\(666\) | −9.00995 | − | 3.70860i | −0.349129 | − | 0.143705i | ||||
\(667\) | −2.79011 | − | 3.63614i | −0.108033 | − | 0.140792i | ||||
\(668\) | 8.21959 | + | 2.16332i | 0.318026 | + | 0.0837013i | ||||
\(669\) | 4.89942 | − | 6.38505i | 0.189423 | − | 0.246860i | ||||
\(670\) | −13.3299 | − | 49.3090i | −0.514977 | − | 1.90497i | ||||
\(671\) | −21.9935 | −0.849050 | ||||||||
\(672\) | 14.8668 | + | 1.72570i | 0.573500 | + | 0.0665703i | ||||
\(673\) | −22.2689 | −0.858403 | −0.429201 | − | 0.903209i | \(-0.641205\pi\) | ||||
−0.429201 | + | 0.903209i | \(0.641205\pi\) | |||||||
\(674\) | 0.547651 | + | 2.02584i | 0.0210947 | + | 0.0780325i | ||||
\(675\) | 5.97020 | − | 7.78052i | 0.229793 | − | 0.299472i | ||||
\(676\) | 3.96715 | − | 15.0733i | 0.152583 | − | 0.579743i | ||||
\(677\) | −0.704615 | − | 0.918272i | −0.0270806 | − | 0.0352921i | 0.779617 | − | 0.626257i | \(-0.215414\pi\) |
−0.806697 | + | 0.590965i | \(0.798747\pi\) | |||||||
\(678\) | 3.40047 | + | 1.39968i | 0.130594 | + | 0.0537542i | ||||
\(679\) | −36.6011 | − | 36.2930i | −1.40462 | − | 1.39280i | ||||
\(680\) | −1.89503 | − | 4.49009i | −0.0726711 | − | 0.172187i | ||||
\(681\) | −3.82330 | − | 14.2687i | −0.146509 | − | 0.546779i | ||||
\(682\) | 18.6482 | − | 24.4149i | 0.714075 | − | 0.934896i | ||||
\(683\) | 3.29157 | + | 25.0020i | 0.125949 | + | 0.956674i | 0.931396 | + | 0.364007i | \(0.118592\pi\) |
−0.805448 | + | 0.592667i | \(0.798075\pi\) | |||||||
\(684\) | −5.14787 | + | 3.98658i | −0.196834 | + | 0.152431i | ||||
\(685\) | 13.2715 | + | 32.0403i | 0.507079 | + | 1.22420i | ||||
\(686\) | 22.8752 | + | 12.7563i | 0.873380 | + | 0.487039i | ||||
\(687\) | 0.858846 | 0.0327670 | ||||||||
\(688\) | −27.9256 | + | 21.8253i | −1.06465 | + | 0.832080i | ||||
\(689\) | −16.0113 | − | 27.7323i | −0.609980 | − | 1.05652i | ||||
\(690\) | −3.45791 | + | 2.00668i | −0.131640 | + | 0.0763931i | ||||
\(691\) | −0.324684 | + | 2.46622i | −0.0123516 | + | 0.0938195i | −0.996510 | − | 0.0834703i | \(-0.973400\pi\) |
0.984159 | + | 0.177290i | \(0.0567330\pi\) | |||||||
\(692\) | 18.5955 | − | 7.79953i | 0.706895 | − | 0.296494i | ||||
\(693\) | −3.03414 | + | 7.41354i | −0.115258 | + | 0.281617i | ||||
\(694\) | 38.2829 | − | 15.9571i | 1.45320 | − | 0.605722i | ||||
\(695\) | −53.1710 | + | 14.2471i | −2.01689 | + | 0.540425i | ||||
\(696\) | 15.2221 | − | 8.92432i | 0.576991 | − | 0.338276i | ||||
\(697\) | −1.22352 | + | 4.56626i | −0.0463443 | + | 0.172959i | ||||
\(698\) | 0.0161687 | − | 0.0124638i | 0.000611992 | − | 0.000471763i | ||||
\(699\) | 23.3288 | + | 9.66311i | 0.882376 | + | 0.365492i | ||||
\(700\) | −45.1652 | − | 25.5565i | −1.70709 | − | 0.965946i | ||||
\(701\) | −7.45714 | − | 18.0031i | −0.281652 | − | 0.679969i | 0.718222 | − | 0.695814i | \(-0.244956\pi\) |
−0.999874 | + | 0.0158449i | \(0.994956\pi\) | |||||||
\(702\) | 0.842128 | + | 3.11515i | 0.0317841 | + | 0.117574i | ||||
\(703\) | −11.2146 | − | 19.4242i | −0.422966 | − | 0.732598i | ||||
\(704\) | 23.9697 | − | 3.48145i | 0.903391 | − | 0.131212i | ||||
\(705\) | −8.36726 | − | 4.83084i | −0.315129 | − | 0.181940i | ||||
\(706\) | −4.17820 | + | 4.19681i | −0.157249 | + | 0.157949i | ||||
\(707\) | 6.56191 | − | 8.62690i | 0.246786 | − | 0.324448i | ||||
\(708\) | −0.890380 | + | 0.00395797i | −0.0334625 | + | 0.000148750i | ||||
\(709\) | −23.5467 | + | 18.0680i | −0.884313 | + | 0.678557i | −0.947607 | − | 0.319438i | \(-0.896506\pi\) |
0.0632942 | + | 0.997995i | \(0.479839\pi\) | |||||||
\(710\) | −21.6347 | + | 2.89720i | −0.811937 | + | 0.108730i | ||||
\(711\) | −4.03975 | − | 1.08245i | −0.151502 | − | 0.0405949i | ||||
\(712\) | −31.3608 | − | 17.8284i | −1.17530 | − | 0.668149i | ||||
\(713\) | 3.72739 | + | 3.72739i | 0.139592 | + | 0.139592i | ||||
\(714\) | 1.01136 | − | 1.33578i | 0.0378493 | − | 0.0499904i | ||||
\(715\) | 24.5605 | + | 10.1733i | 0.918510 | + | 0.380459i | ||||
\(716\) | 0.167095 | − | 1.31433i | 0.00624464 | − | 0.0491190i | ||||
\(717\) | 16.2069 | − | 21.1212i | 0.605257 | − | 0.788786i | ||||
\(718\) | −7.35959 | − | 12.6820i | −0.274658 | − | 0.473288i | ||||
\(719\) | −13.4388 | − | 7.75887i | −0.501181 | − | 0.289357i | 0.228020 | − | 0.973656i | \(-0.426775\pi\) |
−0.729201 | + | 0.684299i | \(0.760108\pi\) | |||||||
\(720\) | −6.01646 | − | 14.1674i | −0.224220 | − | 0.527989i | ||||
\(721\) | −8.61362 | + | 15.0659i | −0.320788 | + | 0.561084i | ||||
\(722\) | 11.8817 | − | 0.0264085i | 0.442191 | − | 0.000982823i | ||||
\(723\) | 6.48977 | + | 0.854394i | 0.241357 | + | 0.0317752i | ||||
\(724\) | −32.5270 | + | 4.42945i | −1.20886 | + | 0.164619i | ||||
\(725\) | −60.6588 | + | 7.98588i | −2.25281 | + | 0.296588i | ||||
\(726\) | 0.332706 | − | 2.57130i | 0.0123479 | − | 0.0954300i | ||||
\(727\) | −3.86328 | + | 3.86328i | −0.143281 | + | 0.143281i | −0.775109 | − | 0.631828i | \(-0.782305\pi\) |
0.631828 | + | 0.775109i | \(0.282305\pi\) | |||||||
\(728\) | 15.7036 | − | 6.70600i | 0.582015 | − | 0.248541i | ||||
\(729\) | 0.707107 | + | 0.707107i | 0.0261891 | + | 0.0261891i | ||||
\(730\) | −55.5239 | + | 42.8014i | −2.05503 | + | 1.58415i | ||||
\(731\) | 0.517886 | + | 3.93374i | 0.0191547 | + | 0.145495i | ||||
\(732\) | 14.0500 | + | 3.69782i | 0.519302 | + | 0.136675i | ||||
\(733\) | −5.45397 | + | 41.4270i | −0.201447 | + | 1.53014i | 0.529856 | + | 0.848088i | \(0.322246\pi\) |
−0.731303 | + | 0.682053i | \(0.761087\pi\) | |||||||
\(734\) | 22.0129 | − | 22.1110i | 0.812512 | − | 0.816132i | ||||
\(735\) | −0.227686 | − | 26.9351i | −0.00839833 | − | 0.993515i | ||||
\(736\) | 0.0461840 | + | 4.15565i | 0.00170236 | + | 0.153179i | ||||
\(737\) | 14.2091 | − | 24.6109i | 0.523400 | − | 0.906556i | ||||
\(738\) | −3.83212 | + | 14.4299i | −0.141062 | + | 0.531171i | ||||
\(739\) | −19.3251 | − | 14.8287i | −0.710885 | − | 0.545481i | 0.188803 | − | 0.982015i | \(-0.439539\pi\) |
−0.899688 | + | 0.436534i | \(0.856206\pi\) | |||||||
\(740\) | 51.1542 | − | 13.9507i | 1.88046 | − | 0.512839i | ||||
\(741\) | −2.84275 | + | 6.86301i | −0.104431 | + | 0.252119i | ||||
\(742\) | −19.7813 | + | 48.6411i | −0.726194 | + | 1.78567i | ||||
\(743\) | −23.1520 | + | 23.1520i | −0.849363 | + | 0.849363i | −0.990054 | − | 0.140691i | \(-0.955068\pi\) |
0.140691 | + | 0.990054i | \(0.455068\pi\) | |||||||
\(744\) | −16.0178 | + | 12.4615i | −0.587242 | + | 0.456860i | ||||
\(745\) | 5.64663 | − | 21.0735i | 0.206877 | − | 0.772074i | ||||
\(746\) | 19.0384 | + | 14.5415i | 0.697044 | + | 0.532404i | ||||
\(747\) | −3.05551 | − | 3.98202i | −0.111795 | − | 0.145695i | ||||
\(748\) | 1.02649 | − | 2.50967i | 0.0375322 | − | 0.0917624i | ||||
\(749\) | 2.41153 | − | 18.9354i | 0.0881153 | − | 0.691886i | ||||
\(750\) | 0.0581434 | + | 26.1599i | 0.00212310 | + | 0.955223i | ||||
\(751\) | −2.73809 | + | 4.74251i | −0.0999143 | + | 0.173057i | −0.911649 | − | 0.410970i | \(-0.865190\pi\) |
0.811735 | + | 0.584026i | \(0.198524\pi\) | |||||||
\(752\) | −8.65278 | + | 5.09878i | −0.315534 | + | 0.185934i | ||||
\(753\) | 4.58974 | − | 2.64989i | 0.167259 | − | 0.0965673i | ||||
\(754\) | 10.0270 | − | 17.4568i | 0.365163 | − | 0.635740i | ||||
\(755\) | −46.1845 | + | 19.1302i | −1.68083 | + | 0.696221i | ||||
\(756\) | 3.18474 | − | 4.22581i | 0.115828 | − | 0.153691i | ||||
\(757\) | 11.0653 | − | 26.7141i | 0.402177 | − | 0.970940i | −0.584960 | − | 0.811062i | \(-0.698890\pi\) |
0.987137 | − | 0.159878i | \(-0.0511102\pi\) | |||||||
\(758\) | 0.853517 | − | 6.59636i | 0.0310011 | − | 0.239591i | ||||
\(759\) | −2.14852 | − | 0.575695i | −0.0779864 | − | 0.0208964i | ||||
\(760\) | 8.94215 | − | 34.2854i | 0.324366 | − | 1.24366i | ||||
\(761\) | 2.76589 | + | 10.3224i | 0.100263 | + | 0.374188i | 0.997765 | − | 0.0668234i | \(-0.0212864\pi\) |
−0.897501 | + | 0.441012i | \(0.854620\pi\) | |||||||
\(762\) | 11.6461 | + | 4.79367i | 0.421893 | + | 0.173656i | ||||
\(763\) | −21.8050 | + | 2.96449i | −0.789393 | + | 0.107322i | ||||
\(764\) | 35.1482 | − | 0.156243i | 1.27162 | − | 0.00565267i | ||||
\(765\) | −1.70834 | − | 0.224907i | −0.0617652 | − | 0.00813154i | ||||
\(766\) | −10.8610 | + | 40.8972i | −0.392424 | + | 1.47767i | ||||
\(767\) | −0.879753 | + | 0.507926i | −0.0317660 | + | 0.0183401i | ||||
\(768\) | −15.8977 | − | 1.80604i | −0.573660 | − | 0.0651700i | ||||
\(769\) | 32.9576i | 1.18848i | 0.804287 | + | 0.594242i | \(0.202548\pi\) | ||||
−0.804287 | + | 0.594242i | \(0.797452\pi\) | |||||||
\(770\) | −11.5537 | − | 42.0328i | −0.416367 | − | 1.51476i | ||||
\(771\) | −25.5269 | + | 10.5736i | −0.919330 | + | 0.380799i | ||||
\(772\) | 31.1286 | + | 17.7881i | 1.12034 | + | 0.640207i | ||||
\(773\) | 49.8155 | − | 6.55834i | 1.79174 | − | 0.235887i | 0.839956 | − | 0.542655i | \(-0.182581\pi\) |
0.951784 | + | 0.306768i | \(0.0992476\pi\) | |||||||
\(774\) | 1.66322 | + | 12.4200i | 0.0597831 | + | 0.446428i | ||||
\(775\) | 67.9697 | − | 18.2124i | 2.44154 | − | 0.654209i | ||||
\(776\) | 39.2228 | + | 38.7032i | 1.40802 | + | 1.38936i | ||||
\(777\) | 12.9436 | + | 12.8347i | 0.464349 | + | 0.460441i | ||||
\(778\) | 10.6830 | + | 25.6299i | 0.383006 | + | 0.918876i | ||||
\(779\) | −27.2667 | + | 20.9224i | −0.976930 | + | 0.749624i | ||||
\(780\) | −13.9794 | − | 10.6283i | −0.500541 | − | 0.380556i | ||||
\(781\) | −9.63458 | − | 7.39287i | −0.344752 | − | 0.264538i | ||||
\(782\) | 0.403425 | + | 0.231723i | 0.0144264 | + | 0.00828641i | ||||
\(783\) | − | 6.23854i | − | 0.222947i | ||||||
\(784\) | −24.4879 | − | 13.5774i | −0.874566 | − | 0.484906i | ||||
\(785\) | − | 28.7600i | − | 1.02649i | ||||||
\(786\) | −10.3387 | + | 17.9995i | −0.368770 | + | 0.642020i | ||||
\(787\) | 35.8258 | + | 27.4901i | 1.27705 | + | 0.979916i | 0.999817 | + | 0.0191132i | \(0.00608428\pi\) |
0.277234 | + | 0.960803i | \(0.410582\pi\) | |||||||
\(788\) | −34.6977 | + | 4.72505i | −1.23606 | + | 0.168323i | ||||
\(789\) | −2.39919 | + | 1.84096i | −0.0854133 | + | 0.0655399i | ||||
\(790\) | 21.0075 | − | 8.75636i | 0.747415 | − | 0.311537i | ||||
\(791\) | −4.88509 | − | 4.84397i | −0.173694 | − | 0.172232i | ||||
\(792\) | 3.22428 | − | 7.93330i | 0.114570 | − | 0.281898i | ||||
\(793\) | 16.0108 | − | 4.29008i | 0.568560 | − | 0.152345i | ||||
\(794\) | 7.86312 | − | 1.05298i | 0.279052 | − | 0.0373690i | ||||
\(795\) | 53.5400 | − | 7.04868i | 1.89887 | − | 0.249991i | ||||
\(796\) | −1.80358 | − | 6.61331i | −0.0639261 | − | 0.234402i | ||||
\(797\) | −18.0044 | + | 7.45767i | −0.637749 | + | 0.264164i | −0.678041 | − | 0.735024i | \(-0.737171\pi\) |
0.0402926 | + | 0.999188i | \(0.487171\pi\) | |||||||
\(798\) | 11.7454 | − | 3.22849i | 0.415782 | − | 0.114287i | ||||
\(799\) | 1.12431i | 0.0397753i | ||||||||
\(800\) | 48.3502 | + | 27.2031i | 1.70944 | + | 0.961776i | ||||
\(801\) | −11.0455 | + | 6.37710i | −0.390272 | + | 0.225324i | ||||
\(802\) | 16.1577 | + | 4.29097i | 0.570547 | + | 0.151519i | ||||
\(803\) | −38.6704 | − | 5.09106i | −1.36465 | − | 0.179660i | ||||
\(804\) | −13.2150 | + | 13.3330i | −0.466058 | + | 0.470220i | ||||
\(805\) | 7.41136 | − | 1.00761i | 0.261216 | − | 0.0355136i | ||||
\(806\) | −8.81306 | + | 21.4111i | −0.310427 | + | 0.754173i | ||||
\(807\) | −0.754445 | − | 2.81563i | −0.0265577 | − | 0.0991148i | ||||
\(808\) | −6.99244 | + | 9.23965i | −0.245993 | + | 0.325050i | ||||
\(809\) | −51.7409 | − | 13.8639i | −1.81911 | − | 0.487430i | −0.822434 | − | 0.568860i | \(-0.807385\pi\) |
−0.996679 | + | 0.0814303i | \(0.974051\pi\) | |||||||
\(810\) | −5.39691 | − | 0.698317i | −0.189628 | − | 0.0245364i | ||||
\(811\) | −8.91977 | + | 21.5342i | −0.313216 | + | 0.756169i | 0.686366 | + | 0.727256i | \(0.259205\pi\) |
−0.999582 | + | 0.0289134i | \(0.990795\pi\) | |||||||
\(812\) | −32.6902 | + | 4.59248i | −1.14720 | + | 0.161165i | ||||
\(813\) | −28.1955 | + | 11.6790i | −0.988861 | + | 0.409599i | ||||
\(814\) | 25.5800 | + | 14.6929i | 0.896579 | + | 0.514986i | ||||
\(815\) | −51.4976 | + | 29.7321i | −1.80388 | + | 1.04147i | ||||
\(816\) | −1.07770 | + | 1.43065i | −0.0377271 | + | 0.0500827i | ||||
\(817\) | −14.4230 | + | 24.9814i | −0.504597 | + | 0.873987i | ||||
\(818\) | 15.3962 | − | 0.0342199i | 0.538315 | − | 0.00119647i | ||||
\(819\) | 0.762697 | − | 5.98875i | 0.0266508 | − | 0.209264i | ||||
\(820\) | −31.4256 | − | 74.9242i | −1.09743 | − | 2.61647i | ||||
\(821\) | 23.3523 | + | 30.4333i | 0.815001 | + | 1.06213i | 0.996890 | + | 0.0788114i | \(0.0251125\pi\) |
−0.181888 | + | 0.983319i | \(0.558221\pi\) | |||||||
\(822\) | 7.73655 | − | 10.1290i | 0.269843 | − | 0.353289i | ||||
\(823\) | −13.6503 | + | 50.9437i | −0.475820 | + | 1.77578i | 0.142432 | + | 0.989805i | \(0.454508\pi\) |
−0.618252 | + | 0.785980i | \(0.712159\pi\) | |||||||
\(824\) | 9.16900 | − | 16.1286i | 0.319417 | − | 0.561866i | ||||
\(825\) | −20.9958 | + | 20.9958i | −0.730980 | + | 0.730980i | ||||
\(826\) | 1.54304 | + | 0.627522i | 0.0536894 | + | 0.0218343i | ||||
\(827\) | −4.57357 | + | 11.0416i | −0.159039 | + | 0.383953i | −0.983233 | − | 0.182354i | \(-0.941628\pi\) |
0.824194 | + | 0.566307i | \(0.191628\pi\) | |||||||
\(828\) | 1.27573 | + | 0.729004i | 0.0443348 | + | 0.0253346i | ||||
\(829\) | −5.38960 | − | 4.13559i | −0.187189 | − | 0.143635i | 0.510916 | − | 0.859631i | \(-0.329306\pi\) |
−0.698105 | + | 0.715996i | \(0.745973\pi\) | |||||||
\(830\) | 26.3991 | + | 7.01076i | 0.916326 | + | 0.243347i | ||||
\(831\) | −11.1290 | + | 19.2759i | −0.386060 | + | 0.668675i | ||||
\(832\) | −16.7703 | + | 7.20998i | −0.581406 | + | 0.249961i | ||||
\(833\) | −2.70121 | + | 1.59014i | −0.0935915 | + | 0.0550951i | ||||
\(834\) | 14.3370 | + | 14.2734i | 0.496450 | + | 0.494248i | ||||
\(835\) | −2.13450 | + | 16.2132i | −0.0738675 | + | 0.561080i | ||||
\(836\) | 17.0280 | − | 9.93233i | 0.588927 | − | 0.343517i | ||||
\(837\) | 0.936541 | + | 7.11374i | 0.0323716 | + | 0.245887i | ||||
\(838\) | −27.5954 | − | 35.7979i | −0.953266 | − | 1.23662i | ||||
\(839\) | −1.76053 | − | 1.76053i | −0.0607801 | − | 0.0607801i | 0.676063 | − | 0.736843i | \(-0.263685\pi\) |
−0.736843 | + | 0.676063i | \(0.763685\pi\) | |||||||
\(840\) | 0.313705 | + | 28.7941i | 0.0108238 | + | 0.993491i | ||||
\(841\) | −7.01406 | + | 7.01406i | −0.241864 | + | 0.241864i | ||||
\(842\) | −2.12979 | − | 0.275578i | −0.0733974 | − | 0.00949704i | ||||
\(843\) | 0.276443 | − | 0.0363944i | 0.00952120 | − | 0.00125349i | ||||
\(844\) | −34.0374 | − | 25.8782i | −1.17161 | − | 0.890765i | ||||
\(845\) | 29.7322 | + | 3.91431i | 1.02282 | + | 0.134656i | ||||
\(846\) | 0.00789216 | + | 3.55084i | 0.000271338 | + | 0.122080i | ||||
\(847\) | −2.40751 | + | 4.21093i | −0.0827230 | + | 0.144689i | ||||
\(848\) | 21.0201 | − | 52.0510i | 0.721832 | − | 1.78744i | ||||
\(849\) | 21.1925 | + | 12.2355i | 0.727325 | + | 0.419921i | ||||
\(850\) | 5.37154 | − | 3.11720i | 0.184242 | − | 0.106919i | ||||
\(851\) | −3.08128 | + | 4.01560i | −0.105625 | + | 0.137653i | ||||
\(852\) | 4.91181 | + | 6.34262i | 0.168276 | + | 0.217295i | ||||
\(853\) | 34.3450 | + | 14.2262i | 1.17595 | + | 0.487095i | 0.883156 | − | 0.469080i | \(-0.155414\pi\) |
0.292796 | + | 0.956175i | \(0.405414\pi\) | |||||||
\(854\) | −21.6698 | − | 16.4069i | −0.741525 | − | 0.561431i | ||||
\(855\) | −8.85808 | − | 8.85808i | −0.302940 | − | 0.302940i | ||||
\(856\) | −2.52860 | + | 20.2491i | −0.0864259 | + | 0.692099i | ||||
\(857\) | 1.84820 | + | 0.495225i | 0.0631334 | + | 0.0169165i | 0.290248 | − | 0.956952i | \(-0.406262\pi\) |
−0.227114 | + | 0.973868i | \(0.572929\pi\) | |||||||
\(858\) | −1.29679 | − | 9.68370i | −0.0442716 | − | 0.330596i | ||||
\(859\) | 19.9623 | − | 15.3176i | 0.681104 | − | 0.522629i | −0.209271 | − | 0.977858i | \(-0.567109\pi\) |
0.890375 | + | 0.455228i | \(0.150442\pi\) | |||||||
\(860\) | −48.4327 | − | 48.0040i | −1.65154 | − | 1.63692i | ||||
\(861\) | 16.9099 | − | 22.2313i | 0.576286 | − | 0.757640i | ||||
\(862\) | 34.6843 | + | 34.5305i | 1.18135 | + | 1.17611i | ||||
\(863\) | 42.6744 | + | 24.6381i | 1.45265 | + | 0.838690i | 0.998631 | − | 0.0523000i | \(-0.0166552\pi\) |
0.454023 | + | 0.890990i | \(0.349989\pi\) | |||||||
\(864\) | −3.39359 | + | 4.52588i | −0.115452 | + | 0.153973i | ||||
\(865\) | 19.3987 | + | 33.5995i | 0.659575 | + | 1.14242i | ||||
\(866\) | −36.8969 | + | 9.97443i | −1.25381 | + | 0.338945i | ||||
\(867\) | −6.42889 | − | 15.5207i | −0.218336 | − | 0.527111i | ||||
\(868\) | 36.5869 | − | 10.1443i | 1.24184 | − | 0.344319i | ||||
\(869\) | 11.6985 | + | 4.84569i | 0.396845 | + | 0.164379i | ||||
\(870\) | 20.7270 | + | 26.8879i | 0.702710 | + | 0.911587i | ||||
\(871\) | −5.54331 | + | 20.6879i | −0.187828 | + | 0.700983i | ||||
\(872\) | 23.3027 | − | 3.22607i | 0.789129 | − | 0.109249i | ||||
\(873\) | 18.8181 | − | 5.04229i | 0.636896 | − | 0.170656i | ||||
\(874\) | 1.30133 | + | 3.12204i | 0.0440181 | + | 0.105605i | ||||
\(875\) | 18.5375 | − | 45.2941i | 0.626683 | − | 1.53122i | ||||
\(876\) | 23.8476 | + | 9.75403i | 0.805736 | + | 0.329558i | ||||
\(877\) | 1.16752 | − | 8.86823i | 0.0394245 | − | 0.299459i | −0.960361 | − | 0.278759i | \(-0.910077\pi\) |
0.999786 | − | 0.0207003i | \(-0.00658957\pi\) | |||||||
\(878\) | −8.49583 | − | 14.6400i | −0.286720 | − | 0.494075i | ||||
\(879\) | −2.60407 | − | 4.51037i | −0.0878330 | − | 0.152131i | ||||
\(880\) | 12.4611 | + | 44.9047i | 0.420063 | + | 1.51374i | ||||
\(881\) | 17.3650 | 0.585043 | 0.292522 | − | 0.956259i | \(-0.405506\pi\) | ||||
0.292522 | + | 0.956259i | \(0.405506\pi\) | |||||||
\(882\) | −8.51989 | + | 5.04099i | −0.286879 | + | 0.169739i | ||||
\(883\) | −10.9526 | − | 26.4419i | −0.368584 | − | 0.889841i | −0.993983 | − | 0.109536i | \(-0.965064\pi\) |
0.625399 | − | 0.780305i | \(-0.284936\pi\) | |||||||
\(884\) | −0.257725 | + | 2.02721i | −0.00866824 | + | 0.0681825i | ||||
\(885\) | −0.223606 | − | 1.69845i | −0.00751642 | − | 0.0570929i | ||||
\(886\) | −35.3738 | − | 27.0186i | −1.18841 | − | 0.907707i | ||||
\(887\) | 2.30581 | + | 8.60541i | 0.0774216 | + | 0.288941i | 0.993771 | − | 0.111437i | \(-0.0355453\pi\) |
−0.916350 | + | 0.400378i | \(0.868879\pi\) | |||||||
\(888\) | −13.8708 | − | 13.6870i | −0.465472 | − | 0.459306i | ||||
\(889\) | −16.7307 | − | 16.5898i | −0.561128 | − | 0.556405i | ||||
\(890\) | 26.4183 | − | 64.1826i | 0.885544 | − | 2.15141i | ||||
\(891\) | −1.84312 | − | 2.40200i | −0.0617467 | − | 0.0804699i | ||||
\(892\) | 13.9039 | − | 8.11007i | 0.465538 | − | 0.271545i | ||||
\(893\) | −4.97603 | + | 6.48489i | −0.166517 | + | 0.217009i | ||||
\(894\) | −7.74029 | + | 2.09245i | −0.258874 | + | 0.0699821i | ||||
\(895\) | 2.54914 | 0.0852082 | ||||||||
\(896\) | 26.2140 | + | 14.4509i | 0.875748 | + | 0.482769i | ||||
\(897\) | 1.67638 | 0.0559725 | ||||||||
\(898\) | −35.9086 | + | 9.70727i | −1.19828 | + | 0.323936i | ||||
\(899\) | 27.2496 | − | 35.5123i | 0.908823 | − | 1.18440i | ||||
\(900\) | 16.9427 | − | 9.88254i | 0.564756 | − | 0.329418i | ||||
\(901\) | −3.82553 | − | 4.98553i | −0.127447 | − | 0.166092i | ||||
\(902\) | 17.2056 | − | 41.8004i | 0.572882 | − | 1.39180i | ||||
\(903\) | 5.97177 | − | 22.6698i | 0.198728 | − | 0.754402i | ||||
\(904\) | 5.23500 | + | 5.16565i | 0.174114 | + | 0.171807i | ||||
\(905\) | −16.3469 | − | 61.0075i | −0.543390 | − | 2.02796i | ||||
\(906\) | 14.6004 | + | 11.1518i | 0.485067 | + | 0.370495i | ||||
\(907\) | 5.17956 | + | 39.3427i | 0.171984 | + | 1.30635i | 0.831864 | + | 0.554980i | \(0.187274\pi\) |
−0.659879 | + | 0.751372i | \(0.729393\pi\) | |||||||
\(908\) | 3.72604 | − | 29.3083i | 0.123653 | − | 0.972629i | ||||
\(909\) | 1.56775 | + | 3.78488i | 0.0519990 | + | 0.125537i | ||||
\(910\) | 16.6098 | + | 28.3453i | 0.550611 | + | 0.939639i | ||||
\(911\) | 17.5382 | 0.581066 | 0.290533 | − | 0.956865i | \(-0.406167\pi\) | ||||
0.290533 | + | 0.956865i | \(0.406167\pi\) | |||||||
\(912\) | −12.5479 | + | 3.48204i | −0.415501 | + | 0.115302i | ||||
\(913\) | 7.59823 | + | 13.1605i | 0.251465 | + | 0.435550i | ||||
\(914\) | −27.1246 | − | 46.7409i | −0.897202 | − | 1.54605i | ||||
\(915\) | −3.64856 | + | 27.7136i | −0.120618 | + | 0.916183i | ||||
\(916\) | 1.58985 | + | 0.650272i | 0.0525300 | + | 0.0214856i | ||||
\(917\) | 30.7086 | − | 23.7704i | 1.01409 | − | 0.784967i | ||||
\(918\) | 0.243640 | + | 0.584520i | 0.00804131 | + | 0.0192920i | ||||
\(919\) | 30.3568 | − | 8.13409i | 1.00138 | − | 0.268319i | 0.279356 | − | 0.960188i | \(-0.409879\pi\) |
0.722023 | + | 0.691869i | \(0.243212\pi\) | |||||||
\(920\) | −7.92043 | + | 1.09652i | −0.261129 | + | 0.0361512i | ||||
\(921\) | 5.21257 | − | 19.4536i | 0.171760 | − | 0.641017i | ||||
\(922\) | −12.7154 | − | 16.4950i | −0.418759 | − | 0.543233i | ||||
\(923\) | 8.45583 | + | 3.50252i | 0.278327 | + | 0.115287i | ||||
\(924\) | −11.2298 | + | 11.4262i | −0.369432 | + | 0.375895i | ||||
\(925\) | 25.8568 | + | 62.4239i | 0.850167 | + | 2.05249i | ||||
\(926\) | −19.2669 | + | 5.20848i | −0.633151 | + | 0.171161i | ||||
\(927\) | −3.27968 | − | 5.68057i | −0.107719 | − | 0.186574i | ||||
\(928\) | 34.9352 | − | 4.99487i | 1.14681 | − | 0.163965i | ||||
\(929\) | 31.6961 | + | 18.2998i | 1.03992 | + | 0.600395i | 0.919809 | − | 0.392366i | \(-0.128343\pi\) |
0.120106 | + | 0.992761i | \(0.461677\pi\) | |||||||
\(930\) | −27.6712 | − | 27.5485i | −0.907374 | − | 0.903350i | ||||
\(931\) | −22.6179 | − | 2.78342i | −0.741273 | − | 0.0912229i | ||||
\(932\) | 35.8686 | + | 35.5511i | 1.17491 | + | 1.16451i | ||||
\(933\) | 20.2172 | − | 15.5132i | 0.661880 | − | 0.507878i | ||||
\(934\) | 5.70338 | + | 42.5897i | 0.186620 | + | 1.39358i | ||||
\(935\) | 5.03912 | + | 1.35023i | 0.164797 | + | 0.0441572i | ||||
\(936\) | −0.799725 | + | 6.40421i | −0.0261398 | + | 0.209328i | ||||
\(937\) | −14.4411 | − | 14.4411i | −0.471769 | − | 0.471769i | 0.430718 | − | 0.902487i | \(-0.358260\pi\) |
−0.902487 | + | 0.430718i | \(0.858260\pi\) | |||||||
\(938\) | 32.3594 | − | 13.6489i | 1.05657 | − | 0.445651i | ||||
\(939\) | −25.4324 | − | 10.5344i | −0.829954 | − | 0.343778i | ||||
\(940\) | −11.8313 | − | 15.2778i | −0.385896 | − | 0.498307i | ||||
\(941\) | −6.16677 | + | 8.03668i | −0.201031 | + | 0.261988i | −0.882979 | − | 0.469412i | \(-0.844466\pi\) |
0.681949 | + | 0.731400i | \(0.261133\pi\) | |||||||
\(942\) | −9.14198 | + | 5.30525i | −0.297862 | + | 0.172854i | ||||
\(943\) | 6.71688 | + | 3.87799i | 0.218732 | + | 0.126285i | ||||
\(944\) | −1.65122 | − | 0.666820i | −0.0537425 | − | 0.0217032i | ||||
\(945\) | 8.83832 | + | 5.05312i | 0.287511 | + | 0.164378i | ||||
\(946\) | −0.0843240 | − | 37.9390i | −0.00274161 | − | 1.23350i | ||||
\(947\) | 6.16629 | + | 0.811807i | 0.200377 | + | 0.0263802i | 0.230047 | − | 0.973180i | \(-0.426112\pi\) |
−0.0296693 | + | 0.999560i | \(0.509445\pi\) | |||||||
\(948\) | −6.65858 | − | 5.06244i | −0.216261 | − | 0.164420i | ||||
\(949\) | 29.1443 | − | 3.83692i | 0.946065 | − | 0.124552i | ||||
\(950\) | 44.7786 | + | 5.79399i | 1.45281 | + | 0.187982i | ||||
\(951\) | 1.57358 | − | 1.57358i | 0.0510267 | − | 0.0510267i | ||||
\(952\) | 2.88356 | − | 1.70698i | 0.0934567 | − | 0.0553234i | ||||
\(953\) | 23.0747 | + | 23.0747i | 0.747462 | + | 0.747462i | 0.974002 | − | 0.226540i | \(-0.0727414\pi\) |
−0.226540 | + | 0.974002i | \(0.572741\pi\) | |||||||
\(954\) | −12.1169 | − | 15.7186i | −0.392299 | − | 0.508909i | ||||
\(955\) | 8.82694 | + | 67.0473i | 0.285633 | + | 2.16960i | ||||
\(956\) | 45.9931 | − | 26.8274i | 1.48752 | − | 0.867661i | ||||
\(957\) | −2.46539 | + | 18.7265i | −0.0796948 | + | 0.605342i | ||||
\(958\) | 18.6684 | + | 18.5856i | 0.603148 | + | 0.600473i | ||||
\(959\) | −20.5997 | + | 12.0096i | −0.665198 | + | 0.387810i | ||||
\(960\) | −0.410514 | − | 30.7813i | −0.0132493 | − | 0.993462i | ||||
\(961\) | −10.2412 | + | 17.7383i | −0.330361 | + | 0.572202i | ||||
\(962\) | −21.4877 | − | 5.70646i | −0.692792 | − | 0.183984i | ||||
\(963\) | 5.72383 | + | 4.39205i | 0.184448 | + | 0.141532i | ||||
\(964\) | 11.3666 | + | 6.49530i | 0.366093 | + | 0.209200i | ||||
\(965\) | −26.3976 | + | 63.7295i | −0.849770 | + | 2.05153i | ||||
\(966\) | −1.68744 | − | 2.16999i | −0.0542924 | − | 0.0698183i | ||||
\(967\) | 12.8433 | − | 12.8433i | 0.413012 | − | 0.413012i | −0.469775 | − | 0.882786i | \(-0.655665\pi\) |
0.882786 | + | 0.469775i | \(0.155665\pi\) | |||||||
\(968\) | 2.56274 | − | 4.50794i | 0.0823695 | − | 0.144891i | ||||
\(969\) | −0.377299 | + | 1.40810i | −0.0121206 | + | 0.0452347i | ||||
\(970\) | −64.3530 | + | 84.2535i | −2.06625 | + | 2.70522i | ||||
\(971\) | 27.4785 | + | 35.8107i | 0.881828 | + | 1.14922i | 0.987935 | + | 0.154866i | \(0.0494946\pi\) |
−0.106107 | + | 0.994355i | \(0.533839\pi\) | |||||||
\(972\) | 0.773573 | + | 1.84434i | 0.0248124 | + | 0.0591572i | ||||
\(973\) | −14.6315 | − | 34.9056i | −0.469065 | − | 1.11902i | ||||
\(974\) | 46.0141 | − | 0.102272i | 1.47439 | − | 0.00327700i | ||||
\(975\) | 11.1890 | − | 19.3800i | 0.358336 | − | 0.620656i | ||||
\(976\) | 23.2087 | + | 17.4831i | 0.742893 | + | 0.559619i | ||||
\(977\) | 4.26486 | − | 2.46232i | 0.136445 | − | 0.0787765i | −0.430224 | − | 0.902722i | \(-0.641565\pi\) |
0.566669 | + | 0.823946i | \(0.308232\pi\) | |||||||
\(978\) | 18.9506 | + | 10.8850i | 0.605972 | + | 0.348065i | ||||
\(979\) | 35.6758 | − | 14.7774i | 1.14020 | − | 0.472288i | ||||
\(980\) | 19.9723 | − | 50.0330i | 0.637991 | − | 1.59825i | ||||
\(981\) | 3.18290 | − | 7.68421i | 0.101622 | − | 0.245338i | ||||
\(982\) | 10.7762 | + | 1.39435i | 0.343883 | + | 0.0444957i | ||||
\(983\) | 52.0394 | + | 13.9439i | 1.65980 | + | 0.444742i | 0.962332 | − | 0.271876i | \(-0.0876442\pi\) |
0.697466 | + | 0.716618i | \(0.254311\pi\) | |||||||
\(984\) | −18.0193 | + | 23.8103i | −0.574435 | + | 0.759044i | ||||
\(985\) | −17.4378 | − | 65.0789i | −0.555616 | − | 2.07359i | ||||
\(986\) | 1.50373 | − | 3.65327i | 0.0478886 | − | 0.116344i | ||||
\(987\) | 2.51621 | − | 6.14805i | 0.0800920 | − | 0.195694i | ||||
\(988\) | −10.4586 | + | 10.5520i | −0.332734 | + | 0.335705i | ||||
\(989\) | 6.45395 | + | 0.849679i | 0.205224 | + | 0.0270182i | ||||
\(990\) | 15.9242 | + | 4.22896i | 0.506104 | + | 0.134405i | ||||
\(991\) | 15.1497 | − | 8.74670i | 0.481247 | − | 0.277848i | −0.239689 | − | 0.970850i | \(-0.577046\pi\) |
0.720936 | + | 0.693002i | \(0.243712\pi\) | |||||||
\(992\) | −39.0864 | + | 10.9401i | −1.24100 | + | 0.347350i | ||||
\(993\) | 5.56381i | 0.176562i | ||||||||
\(994\) | −3.97778 | − | 14.4713i | −0.126168 | − | 0.459002i | ||||
\(995\) | 12.1848 | − | 5.04710i | 0.386283 | − | 0.160004i | ||||
\(996\) | −2.64122 | − | 9.68476i | −0.0836903 | − | 0.306873i | ||||
\(997\) | −43.8188 | + | 5.76886i | −1.38776 | + | 0.182702i | −0.787109 | − | 0.616813i | \(-0.788423\pi\) |
−0.600646 | + | 0.799515i | \(0.705090\pi\) | |||||||
\(998\) | −34.3780 | + | 4.60371i | −1.08822 | + | 0.145728i | ||||
\(999\) | −6.65484 | + | 1.78316i | −0.210550 | + | 0.0564166i |
(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 | 672.2.cf.a.187.59 | yes | 512 | |
7.3 | odd | 6 | inner | 672.2.cf.a.283.28 | yes | 512 | |
32.19 | odd | 8 | inner | 672.2.cf.a.19.28 | ✓ | 512 | |
224.115 | even | 24 | inner | 672.2.cf.a.115.59 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.cf.a.19.28 | ✓ | 512 | 32.19 | odd | 8 | inner | |
672.2.cf.a.115.59 | yes | 512 | 224.115 | even | 24 | inner | |
672.2.cf.a.187.59 | yes | 512 | 1.1 | even | 1 | trivial | |
672.2.cf.a.283.28 | yes | 512 | 7.3 | odd | 6 | inner |