Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(40,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.40");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.i (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 40.1 | ||
Character | \(\chi\) | \(=\) | 287.40 |
Dual form | 287.3.i.a.122.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.94902 | + | 3.37581i | −0.974512 | + | 1.68791i | −0.292978 | + | 0.956119i | \(0.594646\pi\) |
−0.681535 | + | 0.731786i | \(0.738687\pi\) | |||||||
\(3\) | −0.674249 | − | 1.16783i | −0.224750 | − | 0.389278i | 0.731495 | − | 0.681847i | \(-0.238823\pi\) |
−0.956244 | + | 0.292570i | \(0.905490\pi\) | |||||||
\(4\) | −5.59740 | − | 9.69497i | −1.39935 | − | 2.42374i | ||||
\(5\) | 4.70200 | + | 2.71470i | 0.940400 | + | 0.542940i | 0.890086 | − | 0.455793i | \(-0.150644\pi\) |
0.0503141 | + | 0.998733i | \(0.483978\pi\) | |||||||
\(6\) | 5.25651 | 0.876085 | ||||||||
\(7\) | 1.91113 | − | 6.73406i | 0.273019 | − | 0.962009i | ||||
\(8\) | 28.0457 | 3.50571 | ||||||||
\(9\) | 3.59078 | − | 6.21941i | 0.398975 | − | 0.691046i | ||||
\(10\) | −18.3286 | + | 10.5820i | −1.83286 | + | 1.05820i | ||||
\(11\) | −16.8645 | + | 9.73672i | −1.53314 | + | 0.885156i | −0.533921 | + | 0.845535i | \(0.679282\pi\) |
−0.999215 | + | 0.0396215i | \(0.987385\pi\) | |||||||
\(12\) | −7.54807 | + | 13.0736i | −0.629006 | + | 1.08947i | ||||
\(13\) | −23.3272 | −1.79440 | −0.897200 | − | 0.441625i | \(-0.854402\pi\) | ||||
−0.897200 | + | 0.441625i | \(0.854402\pi\) | |||||||
\(14\) | 19.0081 | + | 19.5765i | 1.35772 | + | 1.39832i | ||||
\(15\) | − | 7.32153i | − | 0.488102i | ||||||
\(16\) | −32.2721 | + | 55.8969i | −2.01701 | + | 3.49356i | ||||
\(17\) | 2.05974 | + | 3.56758i | 0.121161 | + | 0.209857i | 0.920226 | − | 0.391388i | \(-0.128005\pi\) |
−0.799065 | + | 0.601245i | \(0.794672\pi\) | |||||||
\(18\) | 13.9970 | + | 24.2436i | 0.777613 | + | 1.34686i | ||||
\(19\) | −6.06005 | + | 10.4963i | −0.318950 | + | 0.552438i | −0.980269 | − | 0.197667i | \(-0.936664\pi\) |
0.661319 | + | 0.750105i | \(0.269997\pi\) | |||||||
\(20\) | − | 60.7810i | − | 3.03905i | ||||||
\(21\) | −9.15283 | + | 2.30855i | −0.435849 | + | 0.109931i | ||||
\(22\) | − | 75.9084i | − | 3.45038i | ||||||
\(23\) | −11.4835 | + | 19.8900i | −0.499283 | + | 0.864784i | −1.00000 | 0.000827655i | \(-0.999737\pi\) | |
0.500717 | + | 0.865611i | \(0.333070\pi\) | |||||||
\(24\) | −18.9097 | − | 32.7526i | −0.787906 | − | 1.36469i | ||||
\(25\) | 2.23919 | + | 3.87839i | 0.0895677 | + | 0.155136i | ||||
\(26\) | 45.4653 | − | 78.7482i | 1.74866 | − | 3.02878i | ||||
\(27\) | −21.8208 | −0.808177 | ||||||||
\(28\) | −75.9839 | + | 19.1648i | −2.71371 | + | 0.684458i | ||||
\(29\) | 15.3530i | 0.529413i | 0.964329 | + | 0.264706i | \(0.0852750\pi\) | ||||
−0.964329 | + | 0.264706i | \(0.914725\pi\) | |||||||
\(30\) | 24.7161 | + | 14.2698i | 0.823870 | + | 0.475661i | ||||
\(31\) | −0.0644875 | + | 0.0372319i | −0.00208024 | + | 0.00120103i | −0.501040 | − | 0.865424i | \(-0.667049\pi\) |
0.498960 | + | 0.866625i | \(0.333716\pi\) | |||||||
\(32\) | −69.7069 | − | 120.736i | −2.17834 | − | 3.77300i | ||||
\(33\) | 22.7417 | + | 13.1299i | 0.689143 | + | 0.397877i | ||||
\(34\) | −16.0579 | −0.472292 | ||||||||
\(35\) | 27.2671 | − | 26.4754i | 0.779060 | − | 0.756440i | ||||
\(36\) | −80.3960 | −2.23322 | ||||||||
\(37\) | −17.4970 | + | 30.3057i | −0.472893 | + | 0.819074i | −0.999519 | − | 0.0310231i | \(-0.990123\pi\) |
0.526626 | + | 0.850097i | \(0.323457\pi\) | |||||||
\(38\) | −23.6224 | − | 40.9152i | −0.621642 | − | 1.07671i | ||||
\(39\) | 15.7283 | + | 27.2423i | 0.403290 | + | 0.698519i | ||||
\(40\) | 131.871 | + | 76.1355i | 3.29677 | + | 1.90339i | ||||
\(41\) | 22.0286 | − | 34.5795i | 0.537284 | − | 0.843401i | ||||
\(42\) | 10.0459 | − | 35.3976i | 0.239188 | − | 0.842801i | ||||
\(43\) | −19.3390 | −0.449743 | −0.224872 | − | 0.974388i | \(-0.572196\pi\) | ||||
−0.224872 | + | 0.974388i | \(0.572196\pi\) | |||||||
\(44\) | 188.794 | + | 109.001i | 4.29078 | + | 2.47728i | ||||
\(45\) | 33.7677 | − | 19.4958i | 0.750393 | − | 0.433239i | ||||
\(46\) | −44.7633 | − | 77.5323i | −0.973115 | − | 1.68548i | ||||
\(47\) | −11.5315 | + | 19.9732i | −0.245352 | + | 0.424962i | −0.962231 | − | 0.272236i | \(-0.912237\pi\) |
0.716878 | + | 0.697198i | \(0.245570\pi\) | |||||||
\(48\) | 87.0377 | 1.81328 | ||||||||
\(49\) | −41.6951 | − | 25.7394i | −0.850921 | − | 0.525293i | ||||
\(50\) | −17.4570 | −0.349139 | ||||||||
\(51\) | 2.77755 | − | 4.81087i | 0.0544618 | − | 0.0943307i | ||||
\(52\) | 130.572 | + | 226.157i | 2.51099 | + | 4.34916i | ||||
\(53\) | −10.0202 | + | 5.78518i | −0.189061 | + | 0.109154i | −0.591543 | − | 0.806274i | \(-0.701481\pi\) |
0.402482 | + | 0.915428i | \(0.368148\pi\) | |||||||
\(54\) | 42.5292 | − | 73.6628i | 0.787579 | − | 1.36413i | ||||
\(55\) | −105.729 | −1.92235 | ||||||||
\(56\) | 53.5990 | − | 188.861i | 0.957124 | − | 3.37252i | ||||
\(57\) | 16.3439 | 0.286735 | ||||||||
\(58\) | −51.8287 | − | 29.9233i | −0.893598 | − | 0.515919i | ||||
\(59\) | −64.5619 | + | 37.2749i | −1.09427 | + | 0.631777i | −0.934710 | − | 0.355411i | \(-0.884341\pi\) |
−0.159560 | + | 0.987188i | \(0.551008\pi\) | |||||||
\(60\) | −70.9820 | + | 40.9815i | −1.18303 | + | 0.683025i | ||||
\(61\) | −3.24297 | − | 1.87233i | −0.0531635 | − | 0.0306939i | 0.473183 | − | 0.880964i | \(-0.343105\pi\) |
−0.526346 | + | 0.850270i | \(0.676438\pi\) | |||||||
\(62\) | − | 0.290263i | − | 0.00468167i | ||||||
\(63\) | −35.0194 | − | 36.0666i | −0.555864 | − | 0.572486i | ||||
\(64\) | 285.265 | 4.45727 | ||||||||
\(65\) | −109.684 | − | 63.3263i | −1.68745 | − | 0.974251i | ||||
\(66\) | −88.6483 | + | 51.1811i | −1.34316 | + | 0.775472i | ||||
\(67\) | 46.1149 | − | 26.6244i | 0.688282 | − | 0.397380i | −0.114686 | − | 0.993402i | \(-0.536586\pi\) |
0.802968 | + | 0.596022i | \(0.203253\pi\) | |||||||
\(68\) | 23.0584 | − | 39.9383i | 0.339094 | − | 0.587327i | ||||
\(69\) | 30.9710 | 0.448854 | ||||||||
\(70\) | 36.2316 | + | 143.650i | 0.517595 | + | 2.05214i | ||||
\(71\) | − | 37.4691i | − | 0.527734i | −0.964559 | − | 0.263867i | \(-0.915002\pi\) | ||
0.964559 | − | 0.263867i | \(-0.0849980\pi\) | |||||||
\(72\) | 100.706 | − | 174.427i | 1.39869 | − | 2.42260i | ||||
\(73\) | 51.6608 | − | 29.8264i | 0.707682 | − | 0.408581i | −0.102520 | − | 0.994731i | \(-0.532691\pi\) |
0.810202 | + | 0.586150i | \(0.199357\pi\) | |||||||
\(74\) | −68.2043 | − | 118.133i | −0.921679 | − | 1.59640i | ||||
\(75\) | 3.01954 | − | 5.23000i | 0.0402606 | − | 0.0697334i | ||||
\(76\) | 135.682 | 1.78529 | ||||||||
\(77\) | 33.3374 | + | 132.175i | 0.432953 | + | 1.71655i | ||||
\(78\) | −122.620 | −1.57205 | ||||||||
\(79\) | −92.6034 | − | 53.4646i | −1.17220 | − | 0.676767i | −0.217999 | − | 0.975949i | \(-0.569953\pi\) |
−0.954196 | + | 0.299182i | \(0.903286\pi\) | |||||||
\(80\) | −303.487 | + | 175.218i | −3.79358 | + | 2.19023i | ||||
\(81\) | −17.6044 | − | 30.4917i | −0.217338 | − | 0.376440i | ||||
\(82\) | 73.7993 | + | 141.761i | 0.899992 | + | 1.72879i | ||||
\(83\) | 85.9677i | 1.03576i | 0.855455 | + | 0.517878i | \(0.173278\pi\) | ||||
−0.855455 | + | 0.517878i | \(0.826722\pi\) | |||||||
\(84\) | 73.6133 | + | 75.8146i | 0.876349 | + | 0.902555i | ||||
\(85\) | 22.3663i | 0.263133i | ||||||||
\(86\) | 37.6921 | − | 65.2847i | 0.438280 | − | 0.759124i | ||||
\(87\) | 17.9297 | − | 10.3517i | 0.206088 | − | 0.118985i | ||||
\(88\) | −472.976 | + | 273.073i | −5.37472 | + | 3.10310i | ||||
\(89\) | −4.66483 | + | 8.07972i | −0.0524138 | + | 0.0907834i | −0.891042 | − | 0.453921i | \(-0.850025\pi\) |
0.838628 | + | 0.544704i | \(0.183358\pi\) | |||||||
\(90\) | 151.991i | 1.68879i | ||||||||
\(91\) | −44.5814 | + | 157.087i | −0.489905 | + | 1.72623i | ||||
\(92\) | 257.111 | 2.79469 | ||||||||
\(93\) | 0.0869612 | + | 0.0502071i | 0.000935067 | + | 0.000539861i | ||||
\(94\) | −44.9505 | − | 77.8566i | −0.478197 | − | 0.828262i | ||||
\(95\) | −56.9887 | + | 32.9024i | −0.599881 | + | 0.346341i | ||||
\(96\) | −93.9996 | + | 162.812i | −0.979163 | + | 1.69596i | ||||
\(97\) | 44.3538 | 0.457255 | 0.228628 | − | 0.973514i | \(-0.426576\pi\) | ||||
0.228628 | + | 0.973514i | \(0.426576\pi\) | |||||||
\(98\) | 168.156 | − | 90.5882i | 1.71588 | − | 0.924370i | ||||
\(99\) | 139.850i | 1.41262i | ||||||||
\(100\) | 25.0673 | − | 43.4178i | 0.250673 | − | 0.434178i | ||||
\(101\) | −36.5705 | − | 63.3420i | −0.362084 | − | 0.627148i | 0.626220 | − | 0.779647i | \(-0.284601\pi\) |
−0.988304 | + | 0.152499i | \(0.951268\pi\) | |||||||
\(102\) | 10.8270 | + | 18.7530i | 0.106147 | + | 0.183853i | ||||
\(103\) | −31.3532 | − | 18.1018i | −0.304400 | − | 0.175746i | 0.340018 | − | 0.940419i | \(-0.389567\pi\) |
−0.644418 | + | 0.764673i | \(0.722900\pi\) | |||||||
\(104\) | −654.226 | −6.29064 | ||||||||
\(105\) | −49.3036 | − | 13.9924i | −0.469558 | − | 0.133261i | ||||
\(106\) | − | 45.1018i | − | 0.425489i | ||||||
\(107\) | −38.8644 | + | 67.3151i | −0.363219 | + | 0.629113i | −0.988489 | − | 0.151295i | \(-0.951656\pi\) |
0.625270 | + | 0.780409i | \(0.284989\pi\) | |||||||
\(108\) | 122.140 | + | 211.552i | 1.13092 | + | 1.95881i | ||||
\(109\) | 137.931 | − | 79.6347i | 1.26543 | − | 0.730594i | 0.291307 | − | 0.956630i | \(-0.405910\pi\) |
0.974119 | + | 0.226036i | \(0.0725767\pi\) | |||||||
\(110\) | 206.069 | − | 356.921i | 1.87335 | − | 3.24474i | ||||
\(111\) | 47.1894 | 0.425129 | ||||||||
\(112\) | 314.737 | + | 324.149i | 2.81015 | + | 2.89418i | ||||
\(113\) | −73.0422 | −0.646391 | −0.323196 | − | 0.946332i | \(-0.604757\pi\) | ||||
−0.323196 | + | 0.946332i | \(0.604757\pi\) | |||||||
\(114\) | −31.8547 | + | 55.1740i | −0.279427 | + | 0.483982i | ||||
\(115\) | −107.991 | + | 62.3486i | −0.939051 | + | 0.542161i | ||||
\(116\) | 148.847 | − | 85.9366i | 1.28316 | − | 0.740833i | ||||
\(117\) | −83.7628 | + | 145.081i | −0.715921 | + | 1.24001i | ||||
\(118\) | − | 290.598i | − | 2.46270i | ||||||
\(119\) | 27.9607 | − | 7.05231i | 0.234964 | − | 0.0592631i | ||||
\(120\) | − | 205.337i | − | 1.71114i | ||||||
\(121\) | 129.107 | − | 223.620i | 1.06700 | − | 1.84810i | ||||
\(122\) | 12.6413 | − | 7.29844i | 0.103617 | − | 0.0598233i | ||||
\(123\) | −55.2358 | − | 2.41062i | −0.449072 | − | 0.0195986i | ||||
\(124\) | 0.721924 | + | 0.416803i | 0.00582197 | + | 0.00336132i | ||||
\(125\) | − | 111.420i | − | 0.891360i | ||||||
\(126\) | 190.008 | − | 47.9242i | 1.50800 | − | 0.380351i | ||||
\(127\) | 37.6249 | 0.296259 | 0.148130 | − | 0.988968i | \(-0.452675\pi\) | ||||
0.148130 | + | 0.988968i | \(0.452675\pi\) | |||||||
\(128\) | −277.162 | + | 480.058i | −2.16533 | + | 3.75045i | ||||
\(129\) | 13.0393 | + | 22.5847i | 0.101080 | + | 0.175075i | ||||
\(130\) | 427.555 | − | 246.849i | 3.28889 | − | 1.89884i | ||||
\(131\) | −182.704 | − | 105.484i | −1.39469 | − | 0.805222i | −0.400856 | − | 0.916141i | \(-0.631287\pi\) |
−0.993829 | + | 0.110919i | \(0.964620\pi\) | |||||||
\(132\) | − | 293.974i | − | 2.22707i | ||||||
\(133\) | 59.1013 | + | 60.8686i | 0.444370 | + | 0.457659i | ||||
\(134\) | 207.567i | 1.54901i | ||||||||
\(135\) | −102.601 | − | 59.2369i | −0.760009 | − | 0.438792i | ||||
\(136\) | 57.7668 | + | 100.055i | 0.424756 | + | 0.735699i | ||||
\(137\) | 31.3375 | − | 18.0927i | 0.228741 | − | 0.132064i | −0.381250 | − | 0.924472i | \(-0.624506\pi\) |
0.609991 | + | 0.792408i | \(0.291173\pi\) | |||||||
\(138\) | −60.3632 | + | 104.552i | −0.437414 | + | 0.757624i | ||||
\(139\) | 151.969i | 1.09330i | 0.837360 | + | 0.546651i | \(0.184098\pi\) | ||||
−0.837360 | + | 0.546651i | \(0.815902\pi\) | |||||||
\(140\) | −409.303 | − | 116.161i | −2.92359 | − | 0.829718i | ||||
\(141\) | 31.1005 | 0.220571 | ||||||||
\(142\) | 126.489 | + | 73.0282i | 0.890765 | + | 0.514283i | ||||
\(143\) | 393.401 | − | 227.130i | 2.75106 | − | 1.58832i | ||||
\(144\) | 231.764 | + | 401.427i | 1.60947 | + | 2.78769i | ||||
\(145\) | −41.6787 | + | 72.1896i | −0.287439 | + | 0.497859i | ||||
\(146\) | 232.529i | 1.59267i | ||||||||
\(147\) | −1.94638 | + | 66.0477i | −0.0132407 | + | 0.449304i | ||||
\(148\) | 391.751 | 2.64697 | ||||||||
\(149\) | 186.533 | + | 107.695i | 1.25190 | + | 0.722784i | 0.971486 | − | 0.237095i | \(-0.0761954\pi\) |
0.280413 | + | 0.959880i | \(0.409529\pi\) | |||||||
\(150\) | 11.7703 | + | 20.3868i | 0.0784689 | + | 0.135912i | ||||
\(151\) | −98.0329 | + | 56.5993i | −0.649224 | + | 0.374830i | −0.788159 | − | 0.615472i | \(-0.788966\pi\) |
0.138935 | + | 0.990302i | \(0.455632\pi\) | |||||||
\(152\) | −169.958 | + | 294.376i | −1.11815 | + | 1.93668i | ||||
\(153\) | 29.5843 | 0.193361 | ||||||||
\(154\) | −511.172 | − | 145.071i | −3.31930 | − | 0.942020i | ||||
\(155\) | −0.404294 | −0.00260835 | ||||||||
\(156\) | 176.075 | − | 304.971i | 1.12869 | − | 1.95494i | ||||
\(157\) | −56.2865 | − | 97.4910i | −0.358513 | − | 0.620962i | 0.629200 | − | 0.777243i | \(-0.283383\pi\) |
−0.987713 | + | 0.156281i | \(0.950049\pi\) | |||||||
\(158\) | 360.973 | − | 208.408i | 2.28464 | − | 1.31904i | ||||
\(159\) | 13.5122 | + | 7.80130i | 0.0849826 | + | 0.0490648i | ||||
\(160\) | − | 756.934i | − | 4.73084i | ||||||
\(161\) | 111.994 | + | 115.343i | 0.695616 | + | 0.716417i | ||||
\(162\) | 137.245 | 0.847194 | ||||||||
\(163\) | 45.1235 | − | 78.1561i | 0.276831 | − | 0.479485i | −0.693764 | − | 0.720202i | \(-0.744049\pi\) |
0.970595 | + | 0.240717i | \(0.0773824\pi\) | |||||||
\(164\) | −458.550 | − | 20.0122i | −2.79604 | − | 0.122026i | ||||
\(165\) | 71.2877 | + | 123.474i | 0.432046 | + | 0.748326i | ||||
\(166\) | −290.211 | − | 167.553i | −1.74826 | − | 1.00936i | ||||
\(167\) | 233.013 | 1.39529 | 0.697645 | − | 0.716443i | \(-0.254231\pi\) | ||||
0.697645 | + | 0.716443i | \(0.254231\pi\) | |||||||
\(168\) | −256.697 | + | 64.7447i | −1.52796 | + | 0.385385i | ||||
\(169\) | 375.158 | 2.21987 | ||||||||
\(170\) | −75.5044 | − | 43.5925i | −0.444144 | − | 0.256426i | ||||
\(171\) | 43.5206 | + | 75.3799i | 0.254506 | + | 0.440818i | ||||
\(172\) | 108.248 | + | 187.491i | 0.629348 | + | 1.09006i | ||||
\(173\) | 56.1204 | + | 32.4011i | 0.324395 | + | 0.187290i | 0.653350 | − | 0.757056i | \(-0.273363\pi\) |
−0.328955 | + | 0.944346i | \(0.606696\pi\) | |||||||
\(174\) | 80.7030i | 0.463810i | ||||||||
\(175\) | 30.3967 | − | 7.66673i | 0.173696 | − | 0.0438099i | ||||
\(176\) | − | 1256.90i | − | 7.14146i | ||||||
\(177\) | 87.0616 | + | 50.2650i | 0.491873 | + | 0.283983i | ||||
\(178\) | −18.1837 | − | 31.4952i | −0.102156 | − | 0.176939i | ||||
\(179\) | −48.4603 | + | 27.9786i | −0.270728 | + | 0.156305i | −0.629218 | − | 0.777229i | \(-0.716625\pi\) |
0.358491 | + | 0.933533i | \(0.383292\pi\) | |||||||
\(180\) | −378.022 | − | 218.251i | −2.10012 | − | 1.21251i | ||||
\(181\) | −195.840 | −1.08199 | −0.540996 | − | 0.841025i | \(-0.681953\pi\) | ||||
−0.540996 | + | 0.841025i | \(0.681953\pi\) | |||||||
\(182\) | −443.405 | − | 456.664i | −2.43629 | − | 2.50914i | ||||
\(183\) | 5.04966i | 0.0275938i | ||||||||
\(184\) | −322.063 | + | 557.829i | −1.75034 | + | 3.03168i | ||||
\(185\) | −164.542 | + | 94.9984i | −0.889416 | + | 0.513505i | ||||
\(186\) | −0.338979 | + | 0.195710i | −0.00182247 | + | 0.00105220i | ||||
\(187\) | −69.4729 | − | 40.1102i | −0.371513 | − | 0.214493i | ||||
\(188\) | 258.187 | 1.37333 | ||||||||
\(189\) | −41.7024 | + | 146.942i | −0.220648 | + | 0.777473i | ||||
\(190\) | − | 256.511i | − | 1.35006i | ||||||
\(191\) | −149.291 | − | 86.1932i | −0.781628 | − | 0.451273i | 0.0553787 | − | 0.998465i | \(-0.482363\pi\) |
−0.837007 | + | 0.547192i | \(0.815697\pi\) | |||||||
\(192\) | −192.340 | − | 333.142i | −1.00177 | − | 1.73512i | ||||
\(193\) | 9.83958 | − | 5.68089i | 0.0509823 | − | 0.0294346i | −0.474292 | − | 0.880367i | \(-0.657296\pi\) |
0.525275 | + | 0.850933i | \(0.323963\pi\) | |||||||
\(194\) | −86.4466 | + | 149.730i | −0.445601 | + | 0.771803i | ||||
\(195\) | 170.791i | 0.875850i | ||||||||
\(196\) | −16.1582 | + | 548.307i | −0.0824400 | + | 2.79748i | ||||
\(197\) | −169.177 | −0.858766 | −0.429383 | − | 0.903122i | \(-0.641269\pi\) | ||||
−0.429383 | + | 0.903122i | \(0.641269\pi\) | |||||||
\(198\) | −472.106 | − | 272.570i | −2.38437 | − | 1.37662i | ||||
\(199\) | 97.4564 | + | 168.799i | 0.489731 | + | 0.848238i | 0.999930 | − | 0.0118177i | \(-0.00376178\pi\) |
−0.510200 | + | 0.860056i | \(0.670428\pi\) | |||||||
\(200\) | 62.7996 | + | 108.772i | 0.313998 | + | 0.543861i | ||||
\(201\) | −62.1858 | − | 35.9030i | −0.309382 | − | 0.178622i | ||||
\(202\) | 285.107 | 1.41142 | ||||||||
\(203\) | 103.388 | + | 29.3416i | 0.509299 | + | 0.144540i | ||||
\(204\) | −62.1883 | −0.304845 | ||||||||
\(205\) | 197.451 | − | 102.791i | 0.963178 | − | 0.501421i | ||||
\(206\) | 122.216 | − | 70.5617i | 0.593284 | − | 0.342533i | ||||
\(207\) | 82.4695 | + | 142.841i | 0.398403 | + | 0.690055i | ||||
\(208\) | 752.817 | − | 1303.92i | 3.61931 | − | 6.26884i | ||||
\(209\) | − | 236.020i | − | 1.12928i | ||||||
\(210\) | 143.330 | − | 139.168i | 0.682523 | − | 0.662705i | ||||
\(211\) | − | 203.100i | − | 0.962558i | −0.876567 | − | 0.481279i | \(-0.840172\pi\) | ||
0.876567 | − | 0.481279i | \(-0.159828\pi\) | |||||||
\(212\) | 112.174 | + | 64.7639i | 0.529124 | + | 0.305490i | ||||
\(213\) | −43.7576 | + | 25.2635i | −0.205435 | + | 0.118608i | ||||
\(214\) | −151.495 | − | 262.398i | −0.707922 | − | 1.22616i | ||||
\(215\) | −90.9318 | − | 52.4995i | −0.422938 | − | 0.244184i | ||||
\(216\) | −611.978 | −2.83323 | ||||||||
\(217\) | 0.127478 | + | 0.505418i | 0.000587454 | + | 0.00232911i | ||||
\(218\) | 620.840i | 2.84789i | ||||||||
\(219\) | −69.6644 | − | 40.2208i | −0.318102 | − | 0.183657i | ||||
\(220\) | 591.807 | + | 1025.04i | 2.69003 | + | 4.65928i | ||||
\(221\) | −48.0480 | − | 83.2215i | −0.217412 | − | 0.376568i | ||||
\(222\) | −91.9733 | + | 159.302i | −0.414294 | + | 0.717578i | ||||
\(223\) | 281.055i | 1.26034i | 0.776459 | + | 0.630168i | \(0.217014\pi\) | ||||
−0.776459 | + | 0.630168i | \(0.782986\pi\) | |||||||
\(224\) | −946.263 | + | 238.668i | −4.22439 | + | 1.06548i | ||||
\(225\) | 32.1618 | 0.142941 | ||||||||
\(226\) | 142.361 | − | 246.577i | 0.629916 | − | 1.09105i | ||||
\(227\) | 120.920 | + | 209.439i | 0.532686 | + | 0.922640i | 0.999272 | + | 0.0381636i | \(0.0121508\pi\) |
−0.466585 | + | 0.884476i | \(0.654516\pi\) | |||||||
\(228\) | −91.4834 | − | 158.454i | −0.401243 | − | 0.694973i | ||||
\(229\) | −102.543 | + | 177.609i | −0.447786 | + | 0.775587i | −0.998242 | − | 0.0592769i | \(-0.981121\pi\) |
0.550456 | + | 0.834864i | \(0.314454\pi\) | |||||||
\(230\) | − | 486.076i | − | 2.11337i | ||||||
\(231\) | 131.880 | − | 128.051i | 0.570910 | − | 0.554333i | ||||
\(232\) | 430.584i | 1.85597i | ||||||||
\(233\) | 298.289 | + | 172.217i | 1.28021 | + | 0.739130i | 0.976887 | − | 0.213758i | \(-0.0685705\pi\) |
0.303323 | + | 0.952888i | \(0.401904\pi\) | |||||||
\(234\) | −326.511 | − | 565.534i | −1.39535 | − | 2.41681i | ||||
\(235\) | −108.443 | + | 62.6094i | −0.461458 | + | 0.266423i | ||||
\(236\) | 722.757 | + | 417.284i | 3.06253 | + | 1.76815i | ||||
\(237\) | 144.194i | 0.608412i | ||||||||
\(238\) | −30.6889 | + | 108.135i | −0.128945 | + | 0.454349i | ||||
\(239\) | − | 353.532i | − | 1.47921i | −0.673039 | − | 0.739607i | \(-0.735011\pi\) | ||
0.673039 | − | 0.739607i | \(-0.264989\pi\) | |||||||
\(240\) | 409.251 | + | 236.281i | 1.70521 | + | 0.984505i | ||||
\(241\) | −132.012 | + | 76.2171i | −0.547767 | + | 0.316254i | −0.748221 | − | 0.663449i | \(-0.769092\pi\) |
0.200454 | + | 0.979703i | \(0.435758\pi\) | |||||||
\(242\) | 503.267 | + | 871.684i | 2.07961 | + | 3.60200i | ||||
\(243\) | −121.933 | + | 211.194i | −0.501782 | + | 0.869111i | ||||
\(244\) | 41.9207i | 0.171806i | ||||||||
\(245\) | −126.176 | − | 234.216i | −0.515003 | − | 0.955985i | ||||
\(246\) | 115.794 | − | 181.767i | 0.470706 | − | 0.738891i | ||||
\(247\) | 141.364 | − | 244.850i | 0.572324 | − | 0.991294i | ||||
\(248\) | −1.80859 | + | 1.04419i | −0.00729272 | + | 0.00421045i | ||||
\(249\) | 100.396 | − | 57.9636i | 0.403196 | − | 0.232786i | ||||
\(250\) | 376.133 | + | 217.160i | 1.50453 | + | 0.868642i | ||||
\(251\) | − | 203.261i | − | 0.809805i | −0.914360 | − | 0.404903i | \(-0.867305\pi\) | ||
0.914360 | − | 0.404903i | \(-0.132695\pi\) | |||||||
\(252\) | −153.647 | + | 541.392i | −0.609712 | + | 2.14838i | ||||
\(253\) | − | 447.247i | − | 1.76777i | ||||||
\(254\) | −73.3319 | + | 127.015i | −0.288708 | + | 0.500057i | ||||
\(255\) | 26.1201 | − | 15.0805i | 0.102432 | − | 0.0591390i | ||||
\(256\) | −509.859 | − | 883.102i | −1.99164 | − | 3.44962i | ||||
\(257\) | −199.227 | + | 345.072i | −0.775203 | + | 1.34269i | 0.159477 | + | 0.987202i | \(0.449019\pi\) |
−0.934680 | + | 0.355490i | \(0.884314\pi\) | |||||||
\(258\) | −101.655 | −0.394013 | ||||||||
\(259\) | 170.642 | + | 175.744i | 0.658848 | + | 0.678549i | ||||
\(260\) | 1417.85i | 5.45327i | ||||||||
\(261\) | 95.4864 | + | 55.1291i | 0.365848 | + | 0.211223i | ||||
\(262\) | 712.188 | − | 411.182i | 2.71828 | − | 1.56940i | ||||
\(263\) | −34.1853 | + | 19.7369i | −0.129982 | + | 0.0750451i | −0.563581 | − | 0.826061i | \(-0.690577\pi\) |
0.433599 | + | 0.901106i | \(0.357243\pi\) | |||||||
\(264\) | 637.806 | + | 368.238i | 2.41593 | + | 1.39484i | ||||
\(265\) | −62.8201 | −0.237057 | ||||||||
\(266\) | −320.671 | + | 80.8802i | −1.20553 | + | 0.304061i | ||||
\(267\) | 12.5810 | 0.0471199 | ||||||||
\(268\) | −516.246 | − | 298.055i | −1.92629 | − | 1.11215i | ||||
\(269\) | −98.7927 | + | 57.0380i | −0.367259 | + | 0.212037i | −0.672260 | − | 0.740315i | \(-0.734676\pi\) |
0.305001 | + | 0.952352i | \(0.401343\pi\) | |||||||
\(270\) | 399.945 | − | 230.908i | 1.48128 | − | 0.855216i | ||||
\(271\) | −316.828 | − | 182.921i | −1.16911 | − | 0.674985i | −0.215638 | − | 0.976473i | \(-0.569183\pi\) |
−0.953470 | + | 0.301489i | \(0.902516\pi\) | |||||||
\(272\) | −265.889 | −0.977532 | ||||||||
\(273\) | 213.510 | − | 53.8519i | 0.782088 | − | 0.197260i | ||||
\(274\) | 141.053i | 0.514791i | ||||||||
\(275\) | −75.5257 | − | 43.6048i | −0.274639 | − | 0.158563i | ||||
\(276\) | −173.357 | − | 300.263i | −0.628104 | − | 1.08791i | ||||
\(277\) | −34.3209 | − | 59.4456i | −0.123902 | − | 0.214605i | 0.797401 | − | 0.603450i | \(-0.206208\pi\) |
−0.921303 | + | 0.388845i | \(0.872874\pi\) | |||||||
\(278\) | −513.019 | − | 296.191i | −1.84539 | − | 1.06544i | ||||
\(279\) | 0.534766i | 0.00191672i | ||||||||
\(280\) | 764.724 | − | 742.520i | 2.73116 | − | 2.65186i | ||||
\(281\) | 78.2007i | 0.278294i | 0.990272 | + | 0.139147i | \(0.0444361\pi\) | ||||
−0.990272 | + | 0.139147i | \(0.955564\pi\) | |||||||
\(282\) | −60.6157 | + | 104.989i | −0.214949 | + | 0.372303i | ||||
\(283\) | 69.2071 | − | 39.9567i | 0.244548 | − | 0.141190i | −0.372717 | − | 0.927945i | \(-0.621574\pi\) |
0.617265 | + | 0.786755i | \(0.288241\pi\) | |||||||
\(284\) | −363.262 | + | 209.729i | −1.27909 | + | 0.738484i | ||||
\(285\) | 76.8491 | + | 44.3688i | 0.269646 | + | 0.155680i | ||||
\(286\) | 1770.73i | 6.19136i | ||||||||
\(287\) | −190.761 | − | 214.428i | −0.664671 | − | 0.747136i | ||||
\(288\) | −1001.21 | −3.47642 | ||||||||
\(289\) | 136.015 | − | 235.585i | 0.470640 | − | 0.815172i | ||||
\(290\) | −162.466 | − | 281.399i | −0.560226 | − | 0.970340i | ||||
\(291\) | −29.9055 | − | 51.7978i | −0.102768 | − | 0.177999i | ||||
\(292\) | −578.332 | − | 333.900i | −1.98059 | − | 1.14349i | ||||
\(293\) | 418.304 | 1.42766 | 0.713829 | − | 0.700320i | \(-0.246959\pi\) | ||||
0.713829 | + | 0.700320i | \(0.246959\pi\) | |||||||
\(294\) | −219.171 | − | 135.299i | −0.745479 | − | 0.460201i | ||||
\(295\) | −404.760 | −1.37207 | ||||||||
\(296\) | −490.716 | + | 849.944i | −1.65782 | + | 2.87143i | ||||
\(297\) | 367.996 | − | 212.463i | 1.23904 | − | 0.715363i | ||||
\(298\) | −727.115 | + | 419.800i | −2.43998 | + | 1.40872i | ||||
\(299\) | 267.878 | − | 463.978i | 0.895913 | − | 1.55177i | ||||
\(300\) | −67.6063 | −0.225354 | ||||||||
\(301\) | −36.9593 | + | 130.230i | −0.122788 | + | 0.432657i | ||||
\(302\) | − | 441.254i | − | 1.46111i | ||||||
\(303\) | −49.3152 | + | 85.4164i | −0.162756 | + | 0.281902i | ||||
\(304\) | −391.141 | − | 677.476i | −1.28665 | − | 2.22854i | ||||
\(305\) | −10.1656 | − | 17.6074i | −0.0333299 | − | 0.0577291i | ||||
\(306\) | −57.6605 | + | 99.8709i | −0.188433 | + | 0.326376i | ||||
\(307\) | − | 35.0287i | − | 0.114100i | −0.998371 | − | 0.0570500i | \(-0.981831\pi\) | ||
0.998371 | − | 0.0570500i | \(-0.0181694\pi\) | |||||||
\(308\) | 1094.83 | − | 1063.04i | 3.55463 | − | 3.45142i | ||||
\(309\) | 48.8204i | 0.157995i | ||||||||
\(310\) | 0.787978 | − | 1.36482i | 0.00254187 | − | 0.00440264i | ||||
\(311\) | −80.6118 | − | 139.624i | −0.259202 | − | 0.448951i | 0.706826 | − | 0.707387i | \(-0.250126\pi\) |
−0.966028 | + | 0.258436i | \(0.916793\pi\) | |||||||
\(312\) | 441.111 | + | 764.027i | 1.41382 | + | 2.44880i | ||||
\(313\) | 105.938 | − | 183.490i | 0.338461 | − | 0.586231i | −0.645683 | − | 0.763606i | \(-0.723427\pi\) |
0.984143 | + | 0.177375i | \(0.0567604\pi\) | |||||||
\(314\) | 438.815 | 1.39750 | ||||||||
\(315\) | −66.7512 | − | 264.652i | −0.211909 | − | 0.840167i | ||||
\(316\) | 1197.05i | 3.78813i | ||||||||
\(317\) | −337.164 | − | 194.662i | −1.06361 | − | 0.614074i | −0.137180 | − | 0.990546i | \(-0.543804\pi\) |
−0.926428 | + | 0.376472i | \(0.877137\pi\) | |||||||
\(318\) | −52.6714 | + | 30.4098i | −0.165633 | + | 0.0956284i | ||||
\(319\) | −149.487 | − | 258.920i | −0.468613 | − | 0.811661i | ||||
\(320\) | 1341.32 | + | 774.410i | 4.19162 | + | 2.42003i | ||||
\(321\) | 104.817 | 0.326533 | ||||||||
\(322\) | −607.656 | + | 153.264i | −1.88713 | + | 0.475976i | ||||
\(323\) | −49.9285 | −0.154577 | ||||||||
\(324\) | −197.077 | + | 341.348i | −0.608263 | + | 1.05354i | ||||
\(325\) | −52.2341 | − | 90.4720i | −0.160720 | − | 0.278376i | ||||
\(326\) | 175.893 | + | 304.656i | 0.539550 | + | 0.934529i | ||||
\(327\) | −186.000 | − | 107.387i | −0.568808 | − | 0.328401i | ||||
\(328\) | 617.808 | − | 969.804i | 1.88356 | − | 2.95672i | ||||
\(329\) | 112.463 | + | 115.826i | 0.341832 | + | 0.352054i | ||||
\(330\) | −555.766 | −1.68414 | ||||||||
\(331\) | −443.318 | − | 255.950i | −1.33933 | − | 0.773263i | −0.352623 | − | 0.935766i | \(-0.614710\pi\) |
−0.986708 | + | 0.162503i | \(0.948043\pi\) | |||||||
\(332\) | 833.455 | − | 481.195i | 2.51041 | − | 1.44938i | ||||
\(333\) | 125.656 | + | 217.642i | 0.377345 | + | 0.653581i | ||||
\(334\) | −454.149 | + | 786.609i | −1.35973 | + | 2.35512i | ||||
\(335\) | 289.109 | 0.863013 | ||||||||
\(336\) | 166.341 | − | 586.117i | 0.495061 | − | 1.74440i | ||||
\(337\) | 104.037 | 0.308714 | 0.154357 | − | 0.988015i | \(-0.450669\pi\) | ||||
0.154357 | + | 0.988015i | \(0.450669\pi\) | |||||||
\(338\) | −731.192 | + | 1266.46i | −2.16329 | + | 3.74693i | ||||
\(339\) | 49.2486 | + | 85.3011i | 0.145276 | + | 0.251626i | ||||
\(340\) | 216.841 | − | 125.193i | 0.637767 | − | 0.368215i | ||||
\(341\) | 0.725033 | − | 1.25579i | 0.00212620 | − | 0.00368268i | ||||
\(342\) | −339.291 | −0.992079 | ||||||||
\(343\) | −253.015 | + | 231.586i | −0.737654 | + | 0.675179i | ||||
\(344\) | −542.374 | −1.57667 | ||||||||
\(345\) | 145.625 | + | 84.0769i | 0.422103 | + | 0.243701i | ||||
\(346\) | −218.760 | + | 126.301i | −0.632254 | + | 0.365032i | ||||
\(347\) | 380.352 | − | 219.596i | 1.09612 | − | 0.632843i | 0.160917 | − | 0.986968i | \(-0.448555\pi\) |
0.935198 | + | 0.354125i | \(0.115221\pi\) | |||||||
\(348\) | −200.719 | − | 115.885i | −0.576779 | − | 0.333004i | ||||
\(349\) | 332.843i | 0.953705i | 0.878983 | + | 0.476853i | \(0.158222\pi\) | ||||
−0.878983 | + | 0.476853i | \(0.841778\pi\) | |||||||
\(350\) | −33.3626 | + | 117.556i | −0.0953216 | + | 0.335875i | ||||
\(351\) | 509.017 | 1.45019 | ||||||||
\(352\) | 2351.14 | + | 1357.43i | 6.67939 | + | 3.85635i | ||||
\(353\) | −482.438 | + | 278.536i | −1.36668 | + | 0.789053i | −0.990502 | − | 0.137495i | \(-0.956095\pi\) |
−0.376177 | + | 0.926548i | \(0.622762\pi\) | |||||||
\(354\) | −339.370 | + | 195.936i | −0.958673 | + | 0.553490i | ||||
\(355\) | 101.717 | − | 176.180i | 0.286528 | − | 0.496281i | ||||
\(356\) | 104.444 | 0.293381 | ||||||||
\(357\) | −27.0884 | − | 27.8984i | −0.0758778 | − | 0.0781468i | ||||
\(358\) | − | 218.124i | − | 0.609284i | ||||||
\(359\) | 41.6004 | − | 72.0540i | 0.115879 | − | 0.200708i | −0.802252 | − | 0.596986i | \(-0.796365\pi\) |
0.918131 | + | 0.396278i | \(0.129698\pi\) | |||||||
\(360\) | 947.036 | − | 546.772i | 2.63066 | − | 1.51881i | ||||
\(361\) | 107.052 | + | 185.419i | 0.296542 | + | 0.513625i | ||||
\(362\) | 381.698 | − | 661.120i | 1.05441 | − | 1.82630i | ||||
\(363\) | −348.202 | −0.959233 | ||||||||
\(364\) | 1772.49 | − | 447.061i | 4.86948 | − | 1.22819i | ||||
\(365\) | 323.879 | 0.887339 | ||||||||
\(366\) | −17.0467 | − | 9.84192i | −0.0465757 | − | 0.0268905i | ||||
\(367\) | −441.570 | + | 254.941i | −1.20319 | + | 0.694661i | −0.961263 | − | 0.275633i | \(-0.911112\pi\) |
−0.241926 | + | 0.970295i | \(0.577779\pi\) | |||||||
\(368\) | −741.194 | − | 1283.79i | −2.01411 | − | 3.48855i | ||||
\(369\) | −135.964 | − | 261.172i | −0.368466 | − | 0.707784i | ||||
\(370\) | − | 740.617i | − | 2.00167i | ||||||
\(371\) | 19.8078 | + | 78.5330i | 0.0533902 | + | 0.211679i | ||||
\(372\) | − | 1.12412i | − | 0.00302182i | ||||||
\(373\) | −9.28035 | + | 16.0740i | −0.0248803 | + | 0.0430939i | −0.878197 | − | 0.478298i | \(-0.841254\pi\) |
0.853317 | + | 0.521392i | \(0.174587\pi\) | |||||||
\(374\) | 270.809 | − | 156.352i | 0.724088 | − | 0.418053i | ||||
\(375\) | −130.120 | + | 75.1248i | −0.346987 | + | 0.200333i | ||||
\(376\) | −323.410 | + | 560.162i | −0.860133 | + | 1.48979i | ||||
\(377\) | − | 358.142i | − | 0.949977i | ||||||
\(378\) | −414.771 | − | 427.174i | −1.09728 | − | 1.13009i | ||||
\(379\) | −143.513 | −0.378662 | −0.189331 | − | 0.981913i | \(-0.560632\pi\) | ||||
−0.189331 | + | 0.981913i | \(0.560632\pi\) | |||||||
\(380\) | 637.977 | + | 368.336i | 1.67889 | + | 0.969305i | ||||
\(381\) | −25.3685 | − | 43.9396i | −0.0665841 | − | 0.115327i | ||||
\(382\) | 581.944 | − | 335.985i | 1.52341 | − | 0.879543i | ||||
\(383\) | 128.301 | − | 222.225i | 0.334991 | − | 0.580221i | −0.648492 | − | 0.761221i | \(-0.724600\pi\) |
0.983483 | + | 0.181000i | \(0.0579335\pi\) | |||||||
\(384\) | 747.504 | 1.94662 | ||||||||
\(385\) | −202.062 | + | 711.986i | −0.524837 | + | 1.84931i | ||||
\(386\) | 44.2888i | 0.114738i | ||||||||
\(387\) | −69.4419 | + | 120.277i | −0.179436 | + | 0.310793i | ||||
\(388\) | −248.266 | − | 430.008i | −0.639860 | − | 1.10827i | ||||
\(389\) | −107.016 | − | 185.358i | −0.275106 | − | 0.476498i | 0.695056 | − | 0.718956i | \(-0.255380\pi\) |
−0.970162 | + | 0.242458i | \(0.922046\pi\) | |||||||
\(390\) | −576.557 | − | 332.875i | −1.47835 | − | 0.853527i | ||||
\(391\) | −94.6122 | −0.241975 | ||||||||
\(392\) | −1169.37 | − | 721.877i | −2.98308 | − | 1.84152i | ||||
\(393\) | 284.490i | 0.723893i | ||||||||
\(394\) | 329.730 | − | 571.109i | 0.836878 | − | 1.44952i | ||||
\(395\) | −290.281 | − | 502.781i | −0.734888 | − | 1.27286i | ||||
\(396\) | 1355.84 | − | 782.793i | 3.42383 | − | 1.97675i | ||||
\(397\) | −91.3145 | + | 158.161i | −0.230011 | + | 0.398391i | −0.957811 | − | 0.287398i | \(-0.907210\pi\) |
0.727800 | + | 0.685790i | \(0.240543\pi\) | |||||||
\(398\) | −759.780 | −1.90899 | ||||||||
\(399\) | 31.2354 | − | 110.061i | 0.0782842 | − | 0.275842i | ||||
\(400\) | −289.054 | −0.722634 | ||||||||
\(401\) | 179.119 | − | 310.244i | 0.446681 | − | 0.773675i | −0.551486 | − | 0.834184i | \(-0.685939\pi\) |
0.998168 | + | 0.0605092i | \(0.0192724\pi\) | |||||||
\(402\) | 242.403 | − | 139.952i | 0.602993 | − | 0.348138i | ||||
\(403\) | 1.50431 | − | 0.868515i | 0.00373279 | − | 0.00215512i | ||||
\(404\) | −409.399 | + | 709.100i | −1.01336 | + | 1.75520i | ||||
\(405\) | − | 191.162i | − | 0.472006i | ||||||
\(406\) | −300.557 | + | 291.830i | −0.740288 | + | 0.718793i | ||||
\(407\) | − | 681.454i | − | 1.67434i | ||||||
\(408\) | 77.8983 | − | 134.924i | 0.190927 | − | 0.330696i | ||||
\(409\) | 194.636 | − | 112.373i | 0.475883 | − | 0.274751i | −0.242816 | − | 0.970072i | \(-0.578071\pi\) |
0.718699 | + | 0.695321i | \(0.244738\pi\) | |||||||
\(410\) | −37.8337 | + | 866.902i | −0.0922772 | + | 2.11439i | ||||
\(411\) | −42.2586 | − | 24.3980i | −0.102819 | − | 0.0593625i | ||||
\(412\) | 405.292i | 0.983718i | ||||||||
\(413\) | 127.625 | + | 506.001i | 0.309019 | + | 1.22518i | ||||
\(414\) | −642.940 | −1.55300 | ||||||||
\(415\) | −233.377 | + | 404.220i | −0.562353 | + | 0.974024i | ||||
\(416\) | 1626.07 | + | 2816.43i | 3.90882 | + | 6.77027i | ||||
\(417\) | 177.474 | − | 102.465i | 0.425598 | − | 0.245719i | ||||
\(418\) | 796.759 | + | 460.009i | 1.90612 | + | 1.10050i | ||||
\(419\) | 563.357i | 1.34453i | 0.740312 | + | 0.672264i | \(0.234678\pi\) | ||||
−0.740312 | + | 0.672264i | \(0.765322\pi\) | |||||||
\(420\) | 140.316 | + | 556.318i | 0.334085 | + | 1.32457i | ||||
\(421\) | 286.149i | 0.679688i | 0.940482 | + | 0.339844i | \(0.110374\pi\) | ||||
−0.940482 | + | 0.339844i | \(0.889626\pi\) | |||||||
\(422\) | 685.626 | + | 395.847i | 1.62471 | + | 0.938025i | ||||
\(423\) | 82.8145 | + | 143.439i | 0.195779 | + | 0.339099i | ||||
\(424\) | −281.024 | + | 162.249i | −0.662792 | + | 0.382663i | ||||
\(425\) | −9.22431 | + | 15.9770i | −0.0217043 | + | 0.0375929i | ||||
\(426\) | − | 196.957i | − | 0.462340i | ||||||
\(427\) | −18.8061 | + | 18.2601i | −0.0440425 | + | 0.0427637i | ||||
\(428\) | 870.158 | 2.03308 | ||||||||
\(429\) | −530.500 | − | 306.284i | −1.23660 | − | 0.713950i | ||||
\(430\) | 354.457 | − | 204.646i | 0.824317 | − | 0.475920i | ||||
\(431\) | −36.4270 | − | 63.0935i | −0.0845175 | − | 0.146389i | 0.820668 | − | 0.571405i | \(-0.193602\pi\) |
−0.905185 | + | 0.425017i | \(0.860268\pi\) | |||||||
\(432\) | 704.202 | − | 1219.71i | 1.63010 | − | 2.82341i | ||||
\(433\) | 349.691i | 0.807600i | 0.914847 | + | 0.403800i | \(0.132311\pi\) | ||||
−0.914847 | + | 0.403800i | \(0.867689\pi\) | |||||||
\(434\) | −1.95465 | − | 0.554732i | −0.00450381 | − | 0.00127818i | ||||
\(435\) | 112.407 | 0.258407 | ||||||||
\(436\) | −1544.11 | − | 891.494i | −3.54154 | − | 2.04471i | ||||
\(437\) | −139.181 | − | 241.069i | −0.318493 | − | 0.551646i | ||||
\(438\) | 271.555 | − | 156.783i | 0.619990 | − | 0.357951i | ||||
\(439\) | −248.581 | + | 430.556i | −0.566245 | + | 0.980765i | 0.430688 | + | 0.902501i | \(0.358271\pi\) |
−0.996933 | + | 0.0782637i | \(0.975062\pi\) | |||||||
\(440\) | −2965.24 | −6.73918 | ||||||||
\(441\) | −309.802 | + | 166.895i | −0.702498 | + | 0.378446i | ||||
\(442\) | 374.587 | 0.847481 | ||||||||
\(443\) | 215.792 | − | 373.763i | 0.487116 | − | 0.843709i | −0.512775 | − | 0.858523i | \(-0.671382\pi\) |
0.999890 | + | 0.0148144i | \(0.00471573\pi\) | |||||||
\(444\) | −264.138 | − | 457.500i | −0.594905 | − | 1.03040i | ||||
\(445\) | −43.8680 | + | 25.3272i | −0.0985799 | + | 0.0569151i | ||||
\(446\) | −948.788 | − | 547.783i | −2.12733 | − | 1.22821i | ||||
\(447\) | − | 290.452i | − | 0.649782i | ||||||
\(448\) | 545.180 | − | 1920.99i | 1.21692 | − | 4.28794i | ||||
\(449\) | 424.408 | 0.945230 | 0.472615 | − | 0.881269i | \(-0.343310\pi\) | ||||
0.472615 | + | 0.881269i | \(0.343310\pi\) | |||||||
\(450\) | −62.6841 | + | 108.572i | −0.139298 | + | 0.241271i | ||||
\(451\) | −34.8114 | + | 797.652i | −0.0771872 | + | 1.76863i | ||||
\(452\) | 408.846 | + | 708.142i | 0.904527 | + | 1.56669i | ||||
\(453\) | 132.197 | + | 76.3240i | 0.291826 | + | 0.168486i | ||||
\(454\) | −942.703 | −2.07644 | ||||||||
\(455\) | −636.065 | + | 617.596i | −1.39794 | + | 1.35735i | ||||
\(456\) | 458.376 | 1.00521 | ||||||||
\(457\) | 39.1641 | + | 22.6114i | 0.0856982 | + | 0.0494779i | 0.542237 | − | 0.840226i | \(-0.317578\pi\) |
−0.456538 | + | 0.889704i | \(0.650911\pi\) | |||||||
\(458\) | −399.717 | − | 692.331i | −0.872745 | − | 1.51164i | ||||
\(459\) | −44.9451 | − | 77.8473i | −0.0979197 | − | 0.169602i | ||||
\(460\) | 1208.94 | + | 697.979i | 2.62812 | + | 1.51735i | ||||
\(461\) | − | 835.838i | − | 1.81310i | −0.422100 | − | 0.906549i | \(-0.638707\pi\) | ||
0.422100 | − | 0.906549i | \(-0.361293\pi\) | |||||||
\(462\) | 175.238 | + | 694.777i | 0.379303 | + | 1.50385i | ||||
\(463\) | 116.555i | 0.251739i | 0.992047 | + | 0.125869i | \(0.0401720\pi\) | ||||
−0.992047 | + | 0.125869i | \(0.959828\pi\) | |||||||
\(464\) | −858.183 | − | 495.472i | −1.84953 | − | 1.06783i | ||||
\(465\) | 0.272594 | + | 0.472147i | 0.000586224 | + | 0.00101537i | ||||
\(466\) | −1162.75 | + | 671.311i | −2.49516 | + | 1.44058i | ||||
\(467\) | 282.043 | + | 162.837i | 0.603946 | + | 0.348688i | 0.770592 | − | 0.637328i | \(-0.219961\pi\) |
−0.166646 | + | 0.986017i | \(0.553294\pi\) | |||||||
\(468\) | 1875.41 | 4.00729 | ||||||||
\(469\) | −91.1589 | − | 361.423i | −0.194369 | − | 0.770625i | ||||
\(470\) | − | 488.109i | − | 1.03853i | ||||||
\(471\) | −75.9021 | + | 131.466i | −0.161151 | + | 0.279122i | ||||
\(472\) | −1810.68 | + | 1045.40i | −3.83619 | + | 2.21483i | ||||
\(473\) | 326.142 | − | 188.298i | 0.689517 | − | 0.398093i | ||||
\(474\) | −486.771 | − | 281.037i | −1.02694 | − | 0.592905i | ||||
\(475\) | −54.2785 | −0.114270 | ||||||||
\(476\) | −224.879 | − | 231.604i | −0.472435 | − | 0.486563i | ||||
\(477\) | 83.0932i | 0.174200i | ||||||||
\(478\) | 1193.46 | + | 689.043i | 2.49677 | + | 1.44151i | ||||
\(479\) | 82.5689 | + | 143.014i | 0.172378 | + | 0.298567i | 0.939251 | − | 0.343232i | \(-0.111522\pi\) |
−0.766873 | + | 0.641799i | \(0.778188\pi\) | |||||||
\(480\) | −883.972 | + | 510.361i | −1.84161 | + | 1.06325i | ||||
\(481\) | 408.156 | − | 706.948i | 0.848558 | − | 1.46975i | ||||
\(482\) | − | 594.196i | − | 1.23277i | ||||||
\(483\) | 59.1896 | − | 208.560i | 0.122546 | − | 0.431802i | ||||
\(484\) | −2890.66 | −5.97244 | ||||||||
\(485\) | 208.551 | + | 120.407i | 0.430003 | + | 0.248262i | ||||
\(486\) | −475.301 | − | 823.245i | −0.977985 | − | 1.69392i | ||||
\(487\) | 312.959 | + | 542.062i | 0.642627 | + | 1.11306i | 0.984844 | + | 0.173442i | \(0.0554889\pi\) |
−0.342217 | + | 0.939621i | \(0.611178\pi\) | |||||||
\(488\) | −90.9513 | − | 52.5107i | −0.186376 | − | 0.107604i | ||||
\(489\) | −121.698 | −0.248871 | ||||||||
\(490\) | 1036.59 | + | 30.5476i | 2.11549 | + | 0.0623421i | ||||
\(491\) | 623.851 | 1.27057 | 0.635287 | − | 0.772277i | \(-0.280882\pi\) | ||||
0.635287 | + | 0.772277i | \(0.280882\pi\) | |||||||
\(492\) | 285.806 | + | 549.003i | 0.580906 | + | 1.11586i | ||||
\(493\) | −54.7729 | + | 31.6231i | −0.111101 | + | 0.0641443i | ||||
\(494\) | 551.044 | + | 954.436i | 1.11547 | + | 1.93206i | ||||
\(495\) | −379.650 | + | 657.572i | −0.766969 | + | 1.32843i | ||||
\(496\) | − | 4.80620i | − | 0.00968993i | ||||||
\(497\) | −252.319 | − | 71.6084i | −0.507685 | − | 0.144081i | ||||
\(498\) | 451.890i | 0.907410i | ||||||||
\(499\) | −705.281 | − | 407.194i | −1.41339 | − | 0.816020i | −0.417682 | − | 0.908593i | \(-0.637157\pi\) |
−0.995706 | + | 0.0925731i | \(0.970491\pi\) | |||||||
\(500\) | −1080.21 | + | 623.662i | −2.16043 | + | 1.24732i | ||||
\(501\) | −157.109 | − | 272.121i | −0.313591 | − | 0.543155i | ||||
\(502\) | 686.171 | + | 396.161i | 1.36687 | + | 0.789165i | ||||
\(503\) | 83.4873 | 0.165979 | 0.0829893 | − | 0.996550i | \(-0.473553\pi\) | ||||
0.0829893 | + | 0.996550i | \(0.473553\pi\) | |||||||
\(504\) | −982.143 | − | 1011.51i | −1.94870 | − | 2.00697i | ||||
\(505\) | − | 397.112i | − | 0.786360i | ||||||
\(506\) | 1509.82 | + | 871.695i | 2.98383 | + | 1.72272i | ||||
\(507\) | −252.950 | − | 438.122i | −0.498914 | − | 0.864145i | ||||
\(508\) | −210.602 | − | 364.773i | −0.414570 | − | 0.718056i | ||||
\(509\) | −143.434 | + | 248.435i | −0.281796 | + | 0.488085i | −0.971827 | − | 0.235695i | \(-0.924263\pi\) |
0.690031 | + | 0.723780i | \(0.257597\pi\) | |||||||
\(510\) | 117.569i | 0.230527i | ||||||||
\(511\) | −102.122 | − | 404.889i | −0.199847 | − | 0.792347i | ||||
\(512\) | 1757.62 | 3.43285 | ||||||||
\(513\) | 132.235 | − | 229.038i | 0.257768 | − | 0.446467i | ||||
\(514\) | −776.598 | − | 1345.11i | −1.51089 | − | 2.61694i | ||||
\(515\) | −98.2819 | − | 170.229i | −0.190839 | − | 0.330542i | ||||
\(516\) | 145.972 | − | 252.831i | 0.282891 | − | 0.489982i | ||||
\(517\) | − | 449.118i | − | 0.868700i | ||||||
\(518\) | −925.864 | + | 233.523i | −1.78738 | + | 0.450817i | ||||
\(519\) | − | 87.3856i | − | 0.168373i | ||||||
\(520\) | −3076.17 | − | 1776.03i | −5.91571 | − | 3.41544i | ||||
\(521\) | 170.216 | + | 294.823i | 0.326710 | + | 0.565879i | 0.981857 | − | 0.189623i | \(-0.0607265\pi\) |
−0.655147 | + | 0.755502i | \(0.727393\pi\) | |||||||
\(522\) | −372.211 | + | 214.896i | −0.713047 | + | 0.411678i | ||||
\(523\) | −0.916550 | − | 0.529170i | −0.00175249 | − | 0.00101180i | 0.499124 | − | 0.866531i | \(-0.333655\pi\) |
−0.500876 | + | 0.865519i | \(0.666989\pi\) | |||||||
\(524\) | 2361.74i | 4.50715i | ||||||||
\(525\) | −29.4484 | − | 30.3290i | −0.0560922 | − | 0.0577696i | ||||
\(526\) | − | 153.871i | − | 0.292530i | ||||||
\(527\) | −0.265655 | − | 0.153376i | −0.000504089 | − | 0.000291036i | ||||
\(528\) | −1467.85 | + | 847.461i | −2.78001 | + | 1.60504i | ||||
\(529\) | 0.757980 | + | 1.31286i | 0.00143285 | + | 0.00248178i | ||||
\(530\) | 122.438 | − | 212.069i | 0.231015 | − | 0.400130i | ||||
\(531\) | 535.383i | 1.00825i | ||||||||
\(532\) | 259.306 | − | 913.691i | 0.487418 | − | 1.71746i | ||||
\(533\) | −513.866 | + | 806.642i | −0.964102 | + | 1.51340i | ||||
\(534\) | −24.5207 | + | 42.4711i | −0.0459189 | + | 0.0795339i | ||||
\(535\) | −365.481 | + | 211.010i | −0.683142 | + | 0.394412i | ||||
\(536\) | 1293.32 | − | 746.700i | 2.41291 | − | 1.39310i | ||||
\(537\) | 65.3485 | + | 37.7290i | 0.121692 | + | 0.0702588i | ||||
\(538\) | − | 444.674i | − | 0.826532i | ||||||
\(539\) | 953.784 | + | 28.1074i | 1.76954 | + | 0.0521473i | ||||
\(540\) | 1326.29i | 2.45609i | ||||||||
\(541\) | 499.332 | − | 864.869i | 0.922980 | − | 1.59865i | 0.128203 | − | 0.991748i | \(-0.459079\pi\) |
0.794777 | − | 0.606901i | \(-0.207588\pi\) | |||||||
\(542\) | 1235.01 | − | 713.035i | 2.27862 | − | 1.31556i | ||||
\(543\) | 132.045 | + | 228.709i | 0.243177 | + | 0.421195i | ||||
\(544\) | 287.156 | − | 497.370i | 0.527861 | − | 0.914282i | ||||
\(545\) | 864.738 | 1.58667 | ||||||||
\(546\) | −234.342 | + | 825.728i | −0.429198 | + | 1.51232i | ||||
\(547\) | − | 316.384i | − | 0.578399i | −0.957269 | − | 0.289200i | \(-0.906611\pi\) | ||
0.957269 | − | 0.289200i | \(-0.0933892\pi\) | |||||||
\(548\) | −350.817 | − | 202.544i | −0.640177 | − | 0.369607i | ||||
\(549\) | −23.2896 | + | 13.4462i | −0.0424218 | + | 0.0244923i | ||||
\(550\) | 294.403 | − | 169.974i | 0.535278 | − | 0.309043i | ||||
\(551\) | −161.150 | − | 93.0397i | −0.292467 | − | 0.168856i | ||||
\(552\) | 868.601 | 1.57355 | ||||||||
\(553\) | −537.011 | + | 521.419i | −0.971087 | + | 0.942892i | ||||
\(554\) | 267.570 | 0.482977 | ||||||||
\(555\) | 221.884 | + | 128.105i | 0.399792 | + | 0.230820i | ||||
\(556\) | 1473.34 | − | 850.631i | 2.64988 | − | 1.52991i | ||||
\(557\) | 549.496 | − | 317.252i | 0.986528 | − | 0.569572i | 0.0822932 | − | 0.996608i | \(-0.473776\pi\) |
0.904235 | + | 0.427036i | \(0.140442\pi\) | |||||||
\(558\) | −1.80527 | − | 1.04227i | −0.00323525 | − | 0.00186787i | ||||
\(559\) | 451.124 | 0.807019 | ||||||||
\(560\) | 599.926 | + | 2378.56i | 1.07130 | + | 4.24743i | ||||
\(561\) | 108.177i | 0.192829i | ||||||||
\(562\) | −263.991 | − | 152.415i | −0.469735 | − | 0.271201i | ||||
\(563\) | −6.85349 | − | 11.8706i | −0.0121732 | − | 0.0210845i | 0.859875 | − | 0.510505i | \(-0.170542\pi\) |
−0.872048 | + | 0.489421i | \(0.837208\pi\) | |||||||
\(564\) | −174.082 | − | 301.519i | −0.308656 | − | 0.534608i | ||||
\(565\) | −343.444 | − | 198.288i | −0.607866 | − | 0.350952i | ||||
\(566\) | 311.507i | 0.550365i | ||||||||
\(567\) | −238.977 | + | 60.2753i | −0.421476 | + | 0.106306i | ||||
\(568\) | − | 1050.85i | − | 1.85008i | ||||||
\(569\) | 163.062 | − | 282.431i | 0.286576 | − | 0.496364i | −0.686414 | − | 0.727211i | \(-0.740816\pi\) |
0.972990 | + | 0.230847i | \(0.0741496\pi\) | |||||||
\(570\) | −299.562 | + | 172.952i | −0.525547 | + | 0.303424i | ||||
\(571\) | −163.557 | + | 94.4295i | −0.286439 | + | 0.165376i | −0.636335 | − | 0.771413i | \(-0.719550\pi\) |
0.349896 | + | 0.936789i | \(0.386217\pi\) | |||||||
\(572\) | −4404.04 | − | 2542.68i | −7.69938 | − | 4.44524i | ||||
\(573\) | 232.463i | 0.405694i | ||||||||
\(574\) | 1095.67 | − | 226.045i | 1.90883 | − | 0.393807i | ||||
\(575\) | −102.855 | −0.178879 | ||||||||
\(576\) | 1024.32 | − | 1774.18i | 1.77834 | − | 3.08018i | ||||
\(577\) | 220.301 | + | 381.572i | 0.381804 | + | 0.661303i | 0.991320 | − | 0.131470i | \(-0.0419697\pi\) |
−0.609516 | + | 0.792773i | \(0.708636\pi\) | |||||||
\(578\) | 530.193 | + | 918.321i | 0.917289 | + | 1.58879i | ||||
\(579\) | −13.2686 | − | 7.66066i | −0.0229165 | − | 0.0132308i | ||||
\(580\) | 933.169 | 1.60891 | ||||||||
\(581\) | 578.912 | + | 164.296i | 0.996406 | + | 0.282781i | ||||
\(582\) | 233.146 | 0.400594 | ||||||||
\(583\) | 112.657 | − | 195.128i | 0.193237 | − | 0.334697i | ||||
\(584\) | 1448.86 | − | 836.500i | 2.48093 | − | 1.43236i | ||||
\(585\) | −787.705 | + | 454.782i | −1.34650 | + | 0.777404i | ||||
\(586\) | −815.285 | + | 1412.11i | −1.39127 | + | 2.40975i | ||||
\(587\) | 325.714 | 0.554879 | 0.277439 | − | 0.960743i | \(-0.410514\pi\) | ||||
0.277439 | + | 0.960743i | \(0.410514\pi\) | |||||||
\(588\) | 651.225 | − | 350.825i | 1.10753 | − | 0.596641i | ||||
\(589\) | − | 0.902508i | − | 0.00153227i | ||||||
\(590\) | 788.888 | − | 1366.39i | 1.33710 | − | 2.31592i | ||||
\(591\) | 114.067 | + | 197.570i | 0.193007 | + | 0.334298i | ||||
\(592\) | −1129.33 | − | 1956.06i | −1.90765 | − | 3.30415i | ||||
\(593\) | −545.778 | + | 945.316i | −0.920368 | + | 1.59412i | −0.121523 | + | 0.992589i | \(0.538778\pi\) |
−0.798846 | + | 0.601536i | \(0.794556\pi\) | |||||||
\(594\) | 1656.38i | 2.78852i | ||||||||
\(595\) | 150.616 | + | 42.7450i | 0.253136 | + | 0.0718403i | ||||
\(596\) | − | 2411.24i | − | 4.04571i | ||||||
\(597\) | 131.420 | − | 227.626i | 0.220133 | − | 0.381282i | ||||
\(598\) | 1044.20 | + | 1808.61i | 1.74616 | + | 3.02443i | ||||
\(599\) | 346.586 | + | 600.305i | 0.578608 | + | 1.00218i | 0.995639 | + | 0.0932866i | \(0.0297373\pi\) |
−0.417031 | + | 0.908892i | \(0.636929\pi\) | |||||||
\(600\) | 84.6851 | − | 146.679i | 0.141142 | − | 0.244465i | ||||
\(601\) | −316.324 | −0.526329 | −0.263165 | − | 0.964751i | \(-0.584766\pi\) | ||||
−0.263165 | + | 0.964751i | \(0.584766\pi\) | |||||||
\(602\) | −367.596 | − | 378.589i | −0.610625 | − | 0.628885i | ||||
\(603\) | − | 382.410i | − | 0.634179i | ||||||
\(604\) | 1097.46 | + | 633.617i | 1.81698 | + | 1.04904i | ||||
\(605\) | 1214.12 | − | 700.975i | 2.00682 | − | 1.15864i | ||||
\(606\) | −192.233 | − | 332.958i | −0.317216 | − | 0.549435i | ||||
\(607\) | 631.548 | + | 364.624i | 1.04044 | + | 0.600699i | 0.919958 | − | 0.392016i | \(-0.128222\pi\) |
0.120483 | + | 0.992715i | \(0.461556\pi\) | |||||||
\(608\) | 1689.71 | 2.77913 | ||||||||
\(609\) | −35.4430 | − | 140.523i | −0.0581988 | − | 0.230744i | ||||
\(610\) | 79.2523 | 0.129922 | ||||||||
\(611\) | 268.999 | − | 465.919i | 0.440260 | − | 0.762552i | ||||
\(612\) | −165.595 | − | 286.819i | −0.270580 | − | 0.468658i | ||||
\(613\) | 393.664 | + | 681.846i | 0.642193 | + | 1.11231i | 0.984942 | + | 0.172883i | \(0.0553084\pi\) |
−0.342750 | + | 0.939427i | \(0.611358\pi\) | |||||||
\(614\) | 118.250 | + | 68.2718i | 0.192590 | + | 0.111192i | ||||
\(615\) | −253.175 | − | 161.283i | −0.411666 | − | 0.262249i | ||||
\(616\) | 934.969 | + | 3706.92i | 1.51781 | + | 6.01774i | ||||
\(617\) | −614.954 | −0.996684 | −0.498342 | − | 0.866981i | \(-0.666058\pi\) | ||||
−0.498342 | + | 0.866981i | \(0.666058\pi\) | |||||||
\(618\) | −164.809 | − | 95.1523i | −0.266681 | − | 0.153968i | ||||
\(619\) | −291.713 | + | 168.421i | −0.471266 | + | 0.272085i | −0.716769 | − | 0.697310i | \(-0.754380\pi\) |
0.245504 | + | 0.969396i | \(0.421047\pi\) | |||||||
\(620\) | 2.26299 | + | 3.91962i | 0.00364999 | + | 0.00632196i | ||||
\(621\) | 250.579 | − | 434.016i | 0.403509 | − | 0.698898i | ||||
\(622\) | 628.457 | 1.01038 | ||||||||
\(623\) | 45.4942 | + | 46.8547i | 0.0730244 | + | 0.0752081i | ||||
\(624\) | −2030.34 | −3.25376 | ||||||||
\(625\) | 358.452 | − | 620.857i | 0.573523 | − | 0.993371i | ||||
\(626\) | 412.952 | + | 715.255i | 0.659668 | + | 1.14258i | ||||
\(627\) | −275.632 | + | 159.136i | −0.439604 | + | 0.253806i | ||||
\(628\) | −630.115 | + | 1091.39i | −1.00337 | + | 1.73789i | ||||
\(629\) | −144.157 | −0.229185 | ||||||||
\(630\) | 1023.52 | + | 290.475i | 1.62463 | + | 0.461071i | ||||
\(631\) | −325.017 | −0.515082 | −0.257541 | − | 0.966267i | \(-0.582912\pi\) | ||||
−0.257541 | + | 0.966267i | \(0.582912\pi\) | |||||||
\(632\) | −2597.12 | − | 1499.45i | −4.10937 | − | 2.37255i | ||||
\(633\) | −237.187 | + | 136.940i | −0.374702 | + | 0.216335i | ||||
\(634\) | 1314.28 | − | 758.800i | 2.07300 | − | 1.19685i | ||||
\(635\) | 176.912 | + | 102.140i | 0.278602 | + | 0.160851i | ||||
\(636\) | − | 174.668i | − | 0.274635i | ||||||
\(637\) | 972.631 | + | 600.427i | 1.52689 | + | 0.942586i | ||||
\(638\) | 1165.42 | 1.82668 | ||||||||
\(639\) | −233.036 | − | 134.543i | −0.364688 | − | 0.210553i | ||||
\(640\) | −2606.43 | + | 1504.82i | −4.07254 | + | 2.35128i | ||||
\(641\) | −339.472 | + | 195.995i | −0.529598 | + | 0.305764i | −0.740853 | − | 0.671667i | \(-0.765578\pi\) |
0.211255 | + | 0.977431i | \(0.432245\pi\) | |||||||
\(642\) | −204.291 | + | 353.843i | −0.318210 | + | 0.551157i | ||||
\(643\) | −1077.52 | −1.67576 | −0.837881 | − | 0.545852i | \(-0.816206\pi\) | ||||
−0.837881 | + | 0.545852i | \(0.816206\pi\) | |||||||
\(644\) | 491.373 | − | 1731.40i | 0.763002 | − | 2.68851i | ||||
\(645\) | 141.591i | 0.219521i | ||||||||
\(646\) | 97.3119 | − | 168.549i | 0.150638 | − | 0.260912i | ||||
\(647\) | 279.494 | − | 161.366i | 0.431985 | − | 0.249407i | −0.268207 | − | 0.963361i | \(-0.586431\pi\) |
0.700192 | + | 0.713955i | \(0.253098\pi\) | |||||||
\(648\) | −493.726 | − | 855.159i | −0.761923 | − | 1.31969i | ||||
\(649\) | 725.869 | − | 1257.24i | 1.11844 | − | 1.93720i | ||||
\(650\) | 407.222 | 0.626495 | ||||||||
\(651\) | 0.504292 | − | 0.489650i | 0.000774642 | − | 0.000752150i | ||||
\(652\) | −1010.30 | −1.54953 | ||||||||
\(653\) | −111.115 | − | 64.1524i | −0.170161 | − | 0.0982425i | 0.412501 | − | 0.910957i | \(-0.364655\pi\) |
−0.582662 | + | 0.812715i | \(0.697989\pi\) | |||||||
\(654\) | 725.038 | − | 418.601i | 1.10862 | − | 0.640062i | ||||
\(655\) | −572.715 | − | 991.972i | −0.874374 | − | 1.51446i | ||||
\(656\) | 1221.97 | + | 2347.29i | 1.86277 | + | 3.57818i | ||||
\(657\) | − | 428.400i | − | 0.652054i | ||||||
\(658\) | −610.198 | + | 153.905i | −0.927352 | + | 0.233899i | ||||
\(659\) | − | 16.8672i | − | 0.0255951i | −0.999918 | − | 0.0127975i | \(-0.995926\pi\) | ||
0.999918 | − | 0.0127975i | \(-0.00407370\pi\) | |||||||
\(660\) | 798.051 | − | 1382.26i | 1.20917 | − | 2.09434i | ||||
\(661\) | −754.798 | + | 435.783i | −1.14190 | + | 0.659279i | −0.946901 | − | 0.321524i | \(-0.895805\pi\) |
−0.195003 | + | 0.980803i | \(0.562472\pi\) | |||||||
\(662\) | 1728.08 | − | 997.706i | 2.61039 | − | 1.50711i | ||||
\(663\) | −64.7925 | + | 112.224i | −0.0977263 | + | 0.169267i | ||||
\(664\) | 2411.02i | 3.63106i | ||||||||
\(665\) | 112.654 | + | 446.646i | 0.169405 | + | 0.671648i | ||||
\(666\) | −979.626 | −1.47091 | ||||||||
\(667\) | −305.371 | − | 176.306i | −0.457827 | − | 0.264327i | ||||
\(668\) | −1304.27 | − | 2259.06i | −1.95250 | − | 3.38183i | ||||
\(669\) | 328.225 | − | 189.501i | 0.490621 | − | 0.283260i | ||||
\(670\) | −563.481 | + | 975.978i | −0.841017 | + | 1.45668i | ||||
\(671\) | 72.9214 | 0.108676 | ||||||||
\(672\) | 916.741 | + | 944.155i | 1.36420 | + | 1.40499i | ||||
\(673\) | 207.421i | 0.308204i | 0.988055 | + | 0.154102i | \(0.0492484\pi\) | ||||
−0.988055 | + | 0.154102i | \(0.950752\pi\) | |||||||
\(674\) | −202.770 | + | 351.208i | −0.300846 | + | 0.521080i | ||||
\(675\) | −48.8609 | − | 84.6296i | −0.0723865 | − | 0.125377i | ||||
\(676\) | −2099.91 | − | 3637.14i | −3.10637 | − | 5.38039i | ||||
\(677\) | −604.236 | − | 348.856i | −0.892520 | − | 0.515296i | −0.0177538 | − | 0.999842i | \(-0.505652\pi\) |
−0.874766 | + | 0.484546i | \(0.838985\pi\) | |||||||
\(678\) | −383.947 | −0.566293 | ||||||||
\(679\) | 84.7659 | − | 298.681i | 0.124839 | − | 0.439883i | ||||
\(680\) | 627.278i | 0.922468i | ||||||||
\(681\) | 163.060 | − | 282.428i | 0.239442 | − | 0.414726i | ||||
\(682\) | 2.82621 | + | 4.89514i | 0.00414401 | + | 0.00717763i | ||||
\(683\) | −922.946 | + | 532.863i | −1.35131 | + | 0.780181i | −0.988433 | − | 0.151656i | \(-0.951540\pi\) |
−0.362879 | + | 0.931836i | \(0.618206\pi\) | |||||||
\(684\) | 487.204 | − | 843.862i | 0.712286 | − | 1.23372i | ||||
\(685\) | 196.465 | 0.286811 | ||||||||
\(686\) | −288.658 | − | 1305.50i | −0.420784 | − | 1.90306i | ||||
\(687\) | 276.558 | 0.402558 | ||||||||
\(688\) | 624.109 | − | 1080.99i | 0.907135 | − | 1.57120i | ||||
\(689\) | 233.744 | − | 134.952i | 0.339251 | − | 0.195866i | ||||
\(690\) | −567.655 | + | 327.736i | −0.822688 | + | 0.474979i | ||||
\(691\) | 495.844 | − | 858.827i | 0.717575 | − | 1.24288i | −0.244383 | − | 0.969679i | \(-0.578586\pi\) |
0.961958 | − | 0.273197i | \(-0.0880811\pi\) | |||||||
\(692\) | − | 725.447i | − | 1.04833i | ||||||
\(693\) | 941.755 | + | 267.271i | 1.35895 | + | 0.385672i | ||||
\(694\) | 1712.00i | 2.46685i | ||||||||
\(695\) | −412.550 | + | 714.558i | −0.593597 | + | 1.02814i | ||||
\(696\) | 502.850 | − | 290.321i | 0.722486 | − | 0.417127i | ||||
\(697\) | 168.738 | + | 7.36413i | 0.242092 | + | 0.0105655i | ||||
\(698\) | −1123.62 | − | 648.720i | −1.60976 | − | 0.929398i | ||||
\(699\) | − | 464.469i | − | 0.664476i | ||||||
\(700\) | −244.471 | − | 251.782i | −0.349245 | − | 0.359688i | ||||
\(701\) | −8.20563 | −0.0117056 | −0.00585280 | − | 0.999983i | \(-0.501863\pi\) | ||||
−0.00585280 | + | 0.999983i | \(0.501863\pi\) | |||||||
\(702\) | −992.088 | + | 1718.35i | −1.41323 | + | 2.44779i | ||||
\(703\) | −212.066 | − | 367.309i | −0.301658 | − | 0.522487i | ||||
\(704\) | −4810.86 | + | 2777.55i | −6.83360 | + | 3.94538i | ||||
\(705\) | 146.235 | + | 84.4286i | 0.207425 | + | 0.119757i | ||||
\(706\) | − | 2171.49i | − | 3.07577i | ||||||
\(707\) | −496.440 | + | 125.213i | −0.702178 | + | 0.177105i | ||||
\(708\) | − | 1125.41i | − | 1.58957i | ||||||
\(709\) | −504.574 | − | 291.316i | −0.711670 | − | 0.410883i | 0.100009 | − | 0.994986i | \(-0.468113\pi\) |
−0.811679 | + | 0.584104i | \(0.801446\pi\) | |||||||
\(710\) | 396.499 | + | 686.757i | 0.558450 | + | 0.967264i | ||||
\(711\) | −665.037 | + | 383.959i | −0.935354 | + | 0.540027i | ||||
\(712\) | −130.828 | + | 226.601i | −0.183748 | + | 0.318260i | ||||
\(713\) | − | 1.71021i | − | 0.00239861i | ||||||
\(714\) | 146.976 | − | 37.0705i | 0.205848 | − | 0.0519195i | ||||
\(715\) | 2466.36 | 3.44946 | ||||||||
\(716\) | 542.503 | + | 313.214i | 0.757685 | + | 0.437450i | ||||
\(717\) | −412.866 | + | 238.368i | −0.575825 | + | 0.332453i | ||||
\(718\) | 162.161 | + | 280.870i | 0.225850 | + | 0.391184i | ||||
\(719\) | −305.684 | + | 529.460i | −0.425151 | + | 0.736384i | −0.996435 | − | 0.0843692i | \(-0.973112\pi\) |
0.571283 | + | 0.820753i | \(0.306446\pi\) | |||||||
\(720\) | 2516.68i | 3.49539i | ||||||||
\(721\) | −181.819 | + | 176.540i | −0.252176 | + | 0.244854i | ||||
\(722\) | −834.585 | −1.15593 | ||||||||
\(723\) | 178.018 | + | 102.779i | 0.246221 | + | 0.142156i | ||||
\(724\) | 1096.20 | + | 1898.67i | 1.51408 | + | 2.62247i | ||||
\(725\) | −59.5449 | + | 34.3782i | −0.0821308 | + | 0.0474183i | ||||
\(726\) | 678.654 | − | 1175.46i | 0.934785 | − | 1.61909i | ||||
\(727\) | 619.973 | 0.852783 | 0.426392 | − | 0.904539i | \(-0.359785\pi\) | ||||
0.426392 | + | 0.904539i | \(0.359785\pi\) | |||||||
\(728\) | −1250.31 | + | 4405.60i | −1.71746 | + | 6.05165i | ||||
\(729\) | 11.9738 | 0.0164249 | ||||||||
\(730\) | −631.248 | + | 1093.35i | −0.864723 | + | 1.49774i | ||||
\(731\) | −39.8332 | − | 68.9932i | −0.0544914 | − | 0.0943819i | ||||
\(732\) | 48.9564 | − | 28.2650i | 0.0668803 | − | 0.0386134i | ||||
\(733\) | 163.434 | + | 94.3586i | 0.222966 | + | 0.128729i | 0.607323 | − | 0.794455i | \(-0.292243\pi\) |
−0.384357 | + | 0.923185i | \(0.625577\pi\) | |||||||
\(734\) | − | 1987.54i | − | 2.70783i | ||||||
\(735\) | −188.452 | + | 305.272i | −0.256397 | + | 0.415336i | ||||
\(736\) | 3201.92 | 4.35044 | ||||||||
\(737\) | −518.469 | + | 898.015i | −0.703486 | + | 1.21847i | ||||
\(738\) | 1146.67 | + | 50.0432i | 1.55375 | + | 0.0678092i | ||||
\(739\) | −409.838 | − | 709.860i | −0.554585 | − | 0.960569i | −0.997936 | − | 0.0642209i | \(-0.979544\pi\) |
0.443351 | − | 0.896348i | \(-0.353790\pi\) | |||||||
\(740\) | 1842.01 | + | 1063.49i | 2.48921 | + | 1.43714i | ||||
\(741\) | −381.258 | −0.514518 | ||||||||
\(742\) | −303.718 | − | 86.1956i | −0.409324 | − | 0.116167i | ||||
\(743\) | −191.589 | −0.257858 | −0.128929 | − | 0.991654i | \(-0.541154\pi\) | ||||
−0.128929 | + | 0.991654i | \(0.541154\pi\) | |||||||
\(744\) | 2.43888 | + | 1.40809i | 0.00327807 | + | 0.00189260i | ||||
\(745\) | 584.718 | + | 1012.76i | 0.784857 | + | 1.35941i | ||||
\(746\) | −36.1753 | − | 62.6574i | −0.0484923 | − | 0.0839911i | ||||
\(747\) | 534.668 | + | 308.691i | 0.715754 | + | 0.413241i | ||||
\(748\) | 898.051i | 1.20060i | ||||||||
\(749\) | 379.029 | + | 390.363i | 0.506047 | + | 0.521179i | ||||
\(750\) | − | 585.681i | − | 0.780907i | ||||||
\(751\) | 178.200 | + | 102.884i | 0.237284 | + | 0.136996i | 0.613928 | − | 0.789362i | \(-0.289589\pi\) |
−0.376644 | + | 0.926358i | \(0.622922\pi\) | |||||||
\(752\) | −744.295 | − | 1289.16i | −0.989753 | − | 1.71430i | ||||
\(753\) | −237.375 | + | 137.048i | −0.315239 | + | 0.182003i | ||||
\(754\) | 1209.02 | + | 698.027i | 1.60347 | + | 0.925765i | ||||
\(755\) | −614.601 | −0.814040 | ||||||||
\(756\) | 1658.03 | − | 418.191i | 2.19316 | − | 0.553163i | ||||
\(757\) | − | 953.189i | − | 1.25917i | −0.776933 | − | 0.629584i | \(-0.783226\pi\) | ||
0.776933 | − | 0.629584i | \(-0.216774\pi\) | |||||||
\(758\) | 279.710 | − | 484.472i | 0.369011 | − | 0.639145i | ||||
\(759\) | −522.309 | + | 301.555i | −0.688155 | + | 0.397306i | ||||
\(760\) | −1598.29 | + | 922.771i | −2.10301 | + | 1.21417i | ||||
\(761\) | −658.297 | − | 380.068i | −0.865042 | − | 0.499432i | 0.000655254 | − | 1.00000i | \(-0.499791\pi\) |
−0.865698 | + | 0.500567i | \(0.833125\pi\) | |||||||
\(762\) | 197.776 | 0.259548 | ||||||||
\(763\) | −272.660 | − | 1081.03i | −0.357352 | − | 1.41682i | ||||
\(764\) | 1929.83i | 2.52596i | ||||||||
\(765\) | 139.105 | + | 80.3125i | 0.181837 | + | 0.104984i | ||||
\(766\) | 500.125 | + | 866.243i | 0.652905 | + | 1.13086i | ||||
\(767\) | 1506.05 | − | 869.518i | 1.96356 | − | 1.13366i | ||||
\(768\) | −687.544 | + | 1190.86i | −0.895239 | + | 1.55060i | ||||
\(769\) | − | 513.355i | − | 0.667562i | −0.942651 | − | 0.333781i | \(-0.891675\pi\) | ||
0.942651 | − | 0.333781i | \(-0.108325\pi\) | |||||||
\(770\) | −2009.70 | − | 2069.80i | −2.61001 | − | 2.68805i | ||||
\(771\) | 537.315 | 0.696906 | ||||||||
\(772\) | −110.152 | − | 63.5963i | −0.142684 | − | 0.0823787i | ||||
\(773\) | 720.922 | + | 1248.67i | 0.932628 | + | 1.61536i | 0.778809 | + | 0.627261i | \(0.215824\pi\) |
0.153819 | + | 0.988099i | \(0.450843\pi\) | |||||||
\(774\) | −270.688 | − | 468.845i | −0.349726 | − | 0.605743i | ||||
\(775\) | −0.288800 | − | 0.166739i | −0.000372645 | − | 0.000215147i | ||||
\(776\) | 1243.93 | 1.60300 | ||||||||
\(777\) | 90.1851 | − | 317.776i | 0.116068 | − | 0.408978i | ||||
\(778\) | 834.309 | 1.07238 | ||||||||
\(779\) | 229.462 | + | 440.773i | 0.294560 | + | 0.565819i | ||||
\(780\) | 1655.81 | − | 955.983i | 2.12284 | − | 1.22562i | ||||
\(781\) | 364.826 | + | 631.897i | 0.467127 | + | 0.809087i | ||||
\(782\) | 184.402 | − | 319.393i | 0.235808 | − | 0.408431i | ||||
\(783\) | − | 335.014i | − | 0.427859i | ||||||
\(784\) | 2784.34 | − | 1499.97i | 3.55146 | − | 1.91322i | ||||
\(785\) | − | 611.204i | − | 0.778603i | ||||||
\(786\) | −960.384 | − | 554.478i | −1.22186 | − | 0.705443i | ||||
\(787\) | −663.767 | + | 383.226i | −0.843414 | + | 0.486945i | −0.858423 | − | 0.512942i | \(-0.828556\pi\) |
0.0150090 | + | 0.999887i | \(0.495222\pi\) | |||||||
\(788\) | 946.950 | + | 1640.17i | 1.20171 | + | 2.08143i | ||||
\(789\) | 46.0987 | + | 26.6151i | 0.0584268 | + | 0.0337327i | ||||
\(790\) | 2263.06 | 2.86463 | ||||||||
\(791\) | −139.593 | + | 491.871i | −0.176477 | + | 0.621834i | ||||
\(792\) | 3922.17i | 4.95224i | ||||||||
\(793\) | 75.6494 | + | 43.6762i | 0.0953965 | + | 0.0550772i | ||||
\(794\) | −355.949 | − | 616.521i | −0.448298 | − | 0.776475i | ||||
\(795\) | 42.3564 | + | 73.3634i | 0.0532784 | + | 0.0922810i | ||||
\(796\) | 1091.00 | − | 1889.67i | 1.37061 | − | 2.37396i | ||||
\(797\) | 1127.74i | 1.41498i | 0.706724 | + | 0.707490i | \(0.250172\pi\) | ||||
−0.706724 | + | 0.707490i | \(0.749828\pi\) | |||||||
\(798\) | 310.666 | + | 319.956i | 0.389306 | + | 0.400948i | ||||
\(799\) | −95.0080 | −0.118909 | ||||||||
\(800\) | 312.174 | − | 540.702i | 0.390218 | − | 0.675878i | ||||
\(801\) | 33.5007 | + | 58.0250i | 0.0418236 | + | 0.0724407i | ||||
\(802\) | 698.216 | + | 1209.34i | 0.870593 | + | 1.50791i | ||||
\(803\) | −580.822 | + | 1006.01i | −0.723315 | + | 1.25282i | ||||
\(804\) | 803.853i | 0.999817i | ||||||||
\(805\) | 213.474 | + | 846.374i | 0.265185 | + | 1.05140i | ||||
\(806\) | 6.77103i | 0.00840078i | ||||||||
\(807\) | 133.222 | + | 76.9156i | 0.165083 | + | 0.0953105i | ||||
\(808\) | −1025.64 | − | 1776.47i | −1.26936 | − | 2.19860i | ||||
\(809\) | 381.183 | − | 220.076i | 0.471178 | − | 0.272035i | −0.245555 | − | 0.969383i | \(-0.578970\pi\) |
0.716733 | + | 0.697348i | \(0.245637\pi\) | |||||||
\(810\) | 645.328 | + | 372.580i | 0.796701 | + | 0.459976i | ||||
\(811\) | 548.601i | 0.676450i | 0.941065 | + | 0.338225i | \(0.109827\pi\) | ||||
−0.941065 | + | 0.338225i | \(0.890173\pi\) | |||||||
\(812\) | −294.237 | − | 1166.58i | −0.362361 | − | 1.43667i | ||||
\(813\) | 493.336i | 0.606810i | ||||||||
\(814\) | 2300.46 | + | 1328.17i | 2.82612 | + | 1.63166i | ||||
\(815\) | 424.341 | − | 244.993i | 0.520664 | − | 0.300605i | ||||
\(816\) | 179.275 | + | 310.513i | 0.219700 | + | 0.380531i | ||||
\(817\) | 117.195 | − | 202.988i | 0.143446 | − | 0.248455i | ||||
\(818\) | 876.073i | 1.07099i | ||||||||
\(819\) | 816.905 | + | 841.333i | 0.997442 | + | 1.02727i | ||||
\(820\) | −2101.77 | − | 1338.92i | −2.56314 | − | 1.63283i | ||||
\(821\) | −584.944 | + | 1013.15i | −0.712478 | + | 1.23405i | 0.251446 | + | 0.967871i | \(0.419094\pi\) |
−0.963924 | + | 0.266177i | \(0.914240\pi\) | |||||||
\(822\) | 164.726 | − | 95.1046i | 0.200397 | − | 0.115699i | ||||
\(823\) | −607.052 | + | 350.481i | −0.737608 | + | 0.425858i | −0.821199 | − | 0.570642i | \(-0.806694\pi\) |
0.0835908 | + | 0.996500i | \(0.473361\pi\) | |||||||
\(824\) | −879.322 | − | 507.677i | −1.06714 | − | 0.616113i | ||||
\(825\) | 117.602i | 0.142548i | ||||||||
\(826\) | −1956.91 | − | 555.372i | −2.36914 | − | 0.672363i | ||||
\(827\) | − | 739.757i | − | 0.894507i | −0.894407 | − | 0.447253i | \(-0.852402\pi\) | ||
0.894407 | − | 0.447253i | \(-0.147598\pi\) | |||||||
\(828\) | 923.229 | − | 1599.08i | 1.11501 | − | 1.93125i | ||||
\(829\) | −386.370 | + | 223.071i | −0.466067 | + | 0.269084i | −0.714592 | − | 0.699542i | \(-0.753388\pi\) |
0.248525 | + | 0.968626i | \(0.420054\pi\) | |||||||
\(830\) | −909.713 | − | 1575.67i | −1.09604 | − | 1.89840i | ||||
\(831\) | −46.2817 | + | 80.1622i | −0.0556940 | + | 0.0964648i | ||||
\(832\) | −6654.44 | −7.99813 | ||||||||
\(833\) | 5.94594 | − | 201.767i | 0.00713798 | − | 0.242217i | ||||
\(834\) | 798.826i | 0.957825i | ||||||||
\(835\) | 1095.63 | + | 632.562i | 1.31213 | + | 0.757559i | ||||
\(836\) | −2288.21 | + | 1321.10i | −2.73709 | + | 1.58026i | ||||
\(837\) | 1.40717 | − | 0.812429i | 0.00168120 | − | 0.000970644i | ||||
\(838\) | −1901.79 | − | 1098.00i | −2.26943 | − | 1.31026i | ||||
\(839\) | −1213.99 | −1.44694 | −0.723472 | − | 0.690354i | \(-0.757455\pi\) | ||||
−0.723472 | + | 0.690354i | \(0.757455\pi\) | |||||||
\(840\) | −1382.75 | − | 392.426i | −1.64613 | − | 0.467174i | ||||
\(841\) | 605.286 | 0.719722 | ||||||||
\(842\) | −965.983 | − | 557.711i | −1.14725 | − | 0.662364i | ||||
\(843\) | 91.3254 | − | 52.7267i | 0.108334 | − | 0.0625465i | ||||
\(844\) | −1969.05 | + | 1136.83i | −2.33299 | + | 1.34696i | ||||
\(845\) | 1763.99 | + | 1018.44i | 2.08756 | + | 1.20526i | ||||
\(846\) | −645.630 | −0.763156 | ||||||||
\(847\) | −1259.13 | − | 1296.78i | −1.48658 | − | 1.53103i | ||||
\(848\) | − | 746.799i | − | 0.880660i | ||||||
\(849\) | −93.3256 | − | 53.8815i | −0.109924 | − | 0.0634647i | ||||
\(850\) | −35.9568 | − | 62.2790i | −0.0423021 | − | 0.0732695i | ||||
\(851\) | −401.855 | − | 696.032i | −0.472215 | − | 0.817900i | ||||
\(852\) | 489.858 | + | 282.819i | 0.574950 | + | 0.331948i | ||||
\(853\) | − | 1091.17i | − | 1.27922i | −0.768700 | − | 0.639609i | \(-0.779096\pi\) | ||
0.768700 | − | 0.639609i | \(-0.220904\pi\) | |||||||
\(854\) | −24.9890 | − | 99.0753i | −0.0292611 | − | 0.116013i | ||||
\(855\) | 472.581i | 0.552727i | ||||||||
\(856\) | −1089.98 | + | 1887.90i | −1.27334 | + | 2.20549i | ||||
\(857\) | −49.9509 | + | 28.8392i | −0.0582858 | + | 0.0336513i | −0.528860 | − | 0.848709i | \(-0.677380\pi\) |
0.470574 | + | 0.882361i | \(0.344047\pi\) | |||||||
\(858\) | 2067.92 | − | 1193.91i | 2.41016 | − | 1.39151i | ||||
\(859\) | −1170.99 | − | 676.073i | −1.36320 | − | 0.787046i | −0.373155 | − | 0.927769i | \(-0.621724\pi\) |
−0.990049 | + | 0.140723i | \(0.955057\pi\) | |||||||
\(860\) | 1175.44i | 1.36679i | ||||||||
\(861\) | −121.796 | + | 367.354i | −0.141459 | + | 0.426660i | ||||
\(862\) | 283.989 | 0.329453 | ||||||||
\(863\) | 738.246 | − | 1278.68i | 0.855442 | − | 1.48167i | −0.0207929 | − | 0.999784i | \(-0.506619\pi\) |
0.876235 | − | 0.481885i | \(-0.160048\pi\) | |||||||
\(864\) | 1521.06 | + | 2634.55i | 1.76049 | + | 3.04925i | ||||
\(865\) | 175.919 | + | 304.700i | 0.203374 | + | 0.352254i | ||||
\(866\) | −1180.49 | − | 681.556i | −1.36315 | − | 0.787017i | ||||
\(867\) | −366.831 | −0.423104 | ||||||||
\(868\) | 4.18647 | − | 4.06492i | 0.00482312 | − | 0.00468308i | ||||
\(869\) | 2082.28 | 2.39618 | ||||||||
\(870\) | −219.084 | + | 379.465i | −0.251821 | + | 0.436167i | ||||
\(871\) | −1075.73 | + | 621.073i | −1.23505 | + | 0.713058i | ||||
\(872\) | 3868.38 | − | 2233.41i | 4.43621 | − | 2.56125i | ||||
\(873\) | 159.264 | − | 275.854i | 0.182434 | − | 0.315984i | ||||
\(874\) | 1085.07 | 1.24150 | ||||||||
\(875\) | −750.309 | − | 212.938i | −0.857496 | − | 0.243358i | ||||
\(876\) | 900.527i | 1.02800i | ||||||||
\(877\) | −572.421 | + | 991.462i | −0.652703 | + | 1.13052i | 0.329761 | + | 0.944064i | \(0.393032\pi\) |
−0.982464 | + | 0.186451i | \(0.940301\pi\) | |||||||
\(878\) | −968.983 | − | 1678.33i | −1.10362 | − | 1.91153i | ||||
\(879\) | −282.041 | − | 488.509i | −0.320865 | − | 0.555755i | ||||
\(880\) | 3412.10 | − | 5909.93i | 3.87739 | − | 6.71583i | ||||
\(881\) | − | 487.326i | − | 0.553151i | −0.960992 | − | 0.276576i | \(-0.910800\pi\) | ||
0.960992 | − | 0.276576i | \(-0.0891996\pi\) | |||||||
\(882\) | 40.4058 | − | 1371.11i | 0.0458116 | − | 1.55455i | ||||
\(883\) | 167.980i | 0.190238i | 0.995466 | + | 0.0951191i | \(0.0303232\pi\) | ||||
−0.995466 | + | 0.0951191i | \(0.969677\pi\) | |||||||
\(884\) | −537.887 | + | 931.648i | −0.608469 | + | 1.05390i | ||||
\(885\) | 272.909 | + | 472.692i | 0.308372 | + | 0.534115i | ||||
\(886\) | 841.169 | + | 1456.95i | 0.949400 | + | 1.64441i | ||||
\(887\) | −428.095 | + | 741.482i | −0.482632 | + | 0.835944i | −0.999801 | − | 0.0199398i | \(-0.993653\pi\) |
0.517169 | + | 0.855883i | \(0.326986\pi\) | |||||||
\(888\) | 1323.46 | 1.49038 | ||||||||
\(889\) | 71.9062 | − | 253.369i | 0.0808844 | − | 0.285004i | ||||
\(890\) | − | 197.454i | − | 0.221858i | ||||||
\(891\) | 593.777 | + | 342.818i | 0.666417 | + | 0.384756i | ||||
\(892\) | 2724.82 | − | 1573.18i | 3.05473 | − | 1.76365i | ||||
\(893\) | −139.764 | − | 242.078i | −0.156510 | − | 0.271083i | ||||
\(894\) | 980.512 | + | 566.099i | 1.09677 | + | 0.633220i | ||||
\(895\) | −303.814 | −0.339456 | ||||||||
\(896\) | 2703.05 | + | 2783.88i | 3.01679 | + | 3.10701i | ||||
\(897\) | −722.465 | −0.805424 | ||||||||
\(898\) | −827.182 | + | 1432.72i | −0.921139 | + | 1.59546i | ||||
\(899\) | −0.571620 | − | 0.990075i | −0.000635840 | − | 0.00110131i | ||||
\(900\) | −180.022 | − | 311.808i | −0.200025 | − | 0.346453i | ||||
\(901\) | −41.2781 | − | 23.8319i | −0.0458137 | − | 0.0264505i | ||||
\(902\) | −2624.87 | − | 1672.16i | −2.91006 | − | 1.85384i | ||||
\(903\) | 177.006 | − | 44.6449i | 0.196020 | − | 0.0494406i | ||||
\(904\) | −2048.52 | −2.26606 | ||||||||
\(905\) | −920.842 | − | 531.648i | −1.01750 | − | 0.587457i | ||||
\(906\) | −515.311 | + | 297.515i | −0.568776 | + | 0.328383i | ||||
\(907\) | −766.920 | − | 1328.34i | −0.845557 | − | 1.46455i | −0.885137 | − | 0.465331i | \(-0.845935\pi\) |
0.0395800 | − | 0.999216i | \(-0.487398\pi\) | |||||||
\(908\) | 1353.67 | − | 2344.63i | 1.49083 | − | 2.58219i | ||||
\(909\) | −525.266 | −0.577850 | ||||||||
\(910\) | −845.182 | − | 3350.94i | −0.928772 | − | 3.68236i | ||||
\(911\) | −1549.20 | −1.70055 | −0.850274 | − | 0.526340i | \(-0.823564\pi\) | ||||
−0.850274 | + | 0.526340i | \(0.823564\pi\) | |||||||
\(912\) | −527.453 | + | 913.575i | −0.578347 | + | 1.00173i | ||||
\(913\) | −837.043 | − | 1449.80i | −0.916805 | − | 1.58795i | ||||
\(914\) | −152.664 | + | 88.1404i | −0.167028 | + | 0.0964337i | ||||
\(915\) | −13.7083 | + | 23.7435i | −0.0149818 | + | 0.0259492i | ||||
\(916\) | 2295.89 | 2.50643 | ||||||||
\(917\) | −1059.51 | + | 1028.74i | −1.15541 | + | 1.12186i | ||||
\(918\) | 350.397 | 0.381696 | ||||||||
\(919\) | 126.447 | + | 73.0041i | 0.137592 | + | 0.0794387i | 0.567216 | − | 0.823569i | \(-0.308021\pi\) |
−0.429624 | + | 0.903008i | \(0.641354\pi\) | |||||||
\(920\) | −3028.68 | + | 1748.61i | −3.29204 | + | 1.90066i | ||||
\(921\) | −40.9076 | + | 23.6180i | −0.0444166 | + | 0.0256439i | ||||
\(922\) | 2821.63 | + | 1629.07i | 3.06034 | + | 1.76689i | ||||
\(923\) | 874.049i | 0.946965i | ||||||||
\(924\) | −1979.64 | − | 561.823i | −2.14246 | − | 0.608033i | ||||
\(925\) | −156.717 | −0.169424 | ||||||||
\(926\) | −393.468 | − | 227.169i | −0.424911 | − | 0.245322i | ||||
\(927\) | −225.165 | + | 129.999i | −0.242896 | + | 0.140236i | ||||
\(928\) | 1853.66 | − | 1070.21i | 1.99747 | − | 1.15324i | ||||
\(929\) | 801.495 | − | 1388.23i | 0.862750 | − | 1.49433i | −0.00651310 | − | 0.999979i | \(-0.502073\pi\) |
0.869264 | − | 0.494349i | \(-0.164593\pi\) | |||||||
\(930\) | −2.12517 | −0.00228513 | ||||||||
\(931\) | 522.843 | − | 281.664i | 0.561593 | − | 0.302539i | ||||
\(932\) | − | 3855.87i | − | 4.13720i | ||||||
\(933\) | −108.705 | + | 188.282i | −0.116511 | + | 0.201803i | ||||
\(934\) | −1099.42 | + | 634.749i | −1.17711 | + | 0.679602i | ||||
\(935\) | −217.774 | − | 377.196i | −0.232914 | − | 0.403419i | ||||
\(936\) | −2349.18 | + | 4068.90i | −2.50981 | + | 4.34712i | ||||
\(937\) | −468.957 | −0.500488 | −0.250244 | − | 0.968183i | \(-0.580511\pi\) | ||||
−0.250244 | + | 0.968183i | \(0.580511\pi\) | |||||||
\(938\) | 1397.77 | + | 396.688i | 1.49016 | + | 0.422908i | ||||
\(939\) | −285.715 | −0.304276 | ||||||||
\(940\) | 1213.99 | + | 700.899i | 1.29148 | + | 0.745637i | ||||
\(941\) | 901.340 | − | 520.389i | 0.957854 | − | 0.553017i | 0.0623419 | − | 0.998055i | \(-0.480143\pi\) |
0.895512 | + | 0.445038i | \(0.146810\pi\) | |||||||
\(942\) | −295.870 | − | 512.462i | −0.314087 | − | 0.544015i | ||||
\(943\) | 434.820 | + | 835.244i | 0.461103 | + | 0.885730i | ||||
\(944\) | − | 4811.75i | − | 5.09719i | ||||||
\(945\) | −594.989 | + | 577.714i | −0.629618 | + | 0.611337i | ||||
\(946\) | 1467.99i | 1.55179i | ||||||||
\(947\) | −470.735 | + | 815.338i | −0.497081 | + | 0.860969i | −0.999994 | − | 0.00336758i | \(-0.998928\pi\) |
0.502914 | + | 0.864337i | \(0.332261\pi\) | |||||||
\(948\) | 1397.95 | − | 807.109i | 1.47464 | − | 0.851381i | ||||
\(949\) | −1205.10 | + | 695.766i | −1.26986 | + | 0.733157i | ||||
\(950\) | 105.790 | − | 183.234i | 0.111358 | − | 0.192878i | ||||
\(951\) | 525.001i | 0.552051i | ||||||||
\(952\) | 784.176 | − | 197.787i | 0.823715 | − | 0.207759i | ||||
\(953\) | 1128.22 | 1.18386 | 0.591930 | − | 0.805989i | \(-0.298366\pi\) | ||||
0.591930 | + | 0.805989i | \(0.298366\pi\) | |||||||
\(954\) | −280.507 | − | 161.951i | −0.294032 | − | 0.169760i | ||||
\(955\) | −467.977 | − | 810.561i | −0.490029 | − | 0.848755i | ||||
\(956\) | −3427.48 | + | 1978.86i | −3.58523 | + | 2.06994i | ||||
\(957\) | −201.583 | + | 349.153i | −0.210641 | + | 0.364841i | ||||
\(958\) | −643.715 | −0.671937 | ||||||||
\(959\) | −61.9474 | − | 245.606i | −0.0645958 | − | 0.256107i | ||||
\(960\) | − | 2088.58i | − | 2.17560i | ||||||
\(961\) | −480.497 | + | 832.246i | −0.499997 | + | 0.866020i | ||||
\(962\) | 1591.01 | + | 2755.72i | 1.65386 | + | 2.86457i | ||||
\(963\) | 279.107 | + | 483.427i | 0.289831 | + | 0.502001i | ||||
\(964\) | 1477.85 | + | 853.235i | 1.53304 | + | 0.885099i | ||||
\(965\) | 61.6876 | 0.0639250 | ||||||||
\(966\) | 588.698 | + | 606.302i | 0.609418 | + | 0.627642i | ||||
\(967\) | 589.735i | 0.609861i | 0.952375 | + | 0.304930i | \(0.0986332\pi\) | ||||
−0.952375 | + | 0.304930i | \(0.901367\pi\) | |||||||
\(968\) | 3620.90 | − | 6271.58i | 3.74060 | − | 6.47891i | ||||
\(969\) | 33.6642 | + | 58.3082i | 0.0347412 | + | 0.0601735i | ||||
\(970\) | −812.943 | + | 469.353i | −0.838086 | + | 0.483869i | ||||
\(971\) | 134.070 | − | 232.216i | 0.138074 | − | 0.239151i | −0.788694 | − | 0.614786i | \(-0.789242\pi\) |
0.926767 | + | 0.375636i | \(0.122576\pi\) | |||||||
\(972\) | 2730.03 | 2.80867 | ||||||||
\(973\) | 1023.37 | + | 290.433i | 1.05177 | + | 0.298492i | ||||
\(974\) | −2439.86 | −2.50499 | ||||||||
\(975\) | −70.4375 | + | 122.001i | −0.0722436 | + | 0.125130i | ||||
\(976\) | 209.315 | − | 120.848i | 0.214462 | − | 0.123820i | ||||
\(977\) | −1639.68 | + | 946.669i | −1.67828 | + | 0.968955i | −0.715522 | + | 0.698590i | \(0.753811\pi\) |
−0.962758 | + | 0.270365i | \(0.912855\pi\) | |||||||
\(978\) | 237.192 | − | 410.828i | 0.242527 | − | 0.420070i | ||||
\(979\) | − | 181.681i | − | 0.185578i | ||||||
\(980\) | −1564.46 | + | 2534.27i | −1.59639 | + | 2.58599i | ||||
\(981\) | − | 1143.80i | − | 1.16596i | ||||||
\(982\) | −1215.90 | + | 2106.00i | −1.23819 | + | 2.14461i | ||||
\(983\) | −732.293 | + | 422.789i | −0.744957 | + | 0.430101i | −0.823869 | − | 0.566781i | \(-0.808189\pi\) |
0.0789120 | + | 0.996882i | \(0.474855\pi\) | |||||||
\(984\) | −1549.12 | − | 67.6075i | −1.57431 | − | 0.0687068i | ||||
\(985\) | −795.470 | − | 459.265i | −0.807583 | − | 0.466259i | ||||
\(986\) | − | 246.537i | − | 0.250038i | ||||||
\(987\) | 59.4372 | − | 209.433i | 0.0602201 | − | 0.212191i | ||||
\(988\) | −3165.08 | −3.20352 | ||||||||
\(989\) | 222.079 | − | 384.652i | 0.224549 | − | 0.388931i | ||||
\(990\) | −1479.89 | − | 2563.25i | −1.49484 | − | 2.58914i | ||||
\(991\) | 1622.26 | − | 936.614i | 1.63700 | − | 0.945120i | 0.655137 | − | 0.755510i | \(-0.272611\pi\) |
0.981859 | − | 0.189611i | \(-0.0607226\pi\) | |||||||
\(992\) | 8.99045 | + | 5.19064i | 0.00906296 | + | 0.00523250i | ||||
\(993\) | 690.296i | 0.695162i | ||||||||
\(994\) | 733.513 | − | 712.215i | 0.737941 | − | 0.716514i | ||||
\(995\) | 1058.26i | 1.06358i | ||||||||
\(996\) | −1123.91 | − | 648.890i | −1.12842 | − | 0.651496i | ||||
\(997\) | −701.043 | − | 1214.24i | −0.703153 | − | 1.21790i | −0.967354 | − | 0.253429i | \(-0.918442\pi\) |
0.264201 | − | 0.964468i | \(-0.414892\pi\) | |||||||
\(998\) | 2749.22 | − | 1587.26i | 2.75473 | − | 1.59044i | ||||
\(999\) | 381.799 | − | 661.295i | 0.382181 | − | 0.661957i |
(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 | 287.3.i.a.40.1 | ✓ | 108 | |
7.3 | odd | 6 | inner | 287.3.i.a.122.2 | yes | 108 | |
41.40 | even | 2 | inner | 287.3.i.a.40.2 | yes | 108 | |
287.122 | odd | 6 | inner | 287.3.i.a.122.1 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.i.a.40.1 | ✓ | 108 | 1.1 | even | 1 | trivial | |
287.3.i.a.40.2 | yes | 108 | 41.40 | even | 2 | inner | |
287.3.i.a.122.1 | yes | 108 | 287.122 | odd | 6 | inner | |
287.3.i.a.122.2 | yes | 108 | 7.3 | odd | 6 | inner |