Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,4,Mod(2,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.w (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.43727313082\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 2.2 | ||
Character | \(\chi\) | \(=\) | 143.2 |
Dual form | 143.4.w.a.72.2 |
$q$-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 \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.50283 | − | 2.92417i | −1.59199 | − | 1.03385i | −0.967517 | − | 0.252805i | \(-0.918647\pi\) |
−0.624473 | − | 0.781046i | \(-0.714686\pi\) | |||||||
\(3\) | −5.02636 | − | 2.23788i | −0.967323 | − | 0.430680i | −0.138606 | − | 0.990348i | \(-0.544262\pi\) |
−0.828717 | + | 0.559668i | \(0.810929\pi\) | |||||||
\(4\) | 8.47080 | + | 19.0257i | 1.05885 | + | 2.37822i | ||||
\(5\) | 4.12727 | + | 2.10295i | 0.369154 | + | 0.188094i | 0.628720 | − | 0.777632i | \(-0.283579\pi\) |
−0.259565 | + | 0.965726i | \(0.583579\pi\) | |||||||
\(6\) | 16.0889 | + | 24.7747i | 1.09471 | + | 1.68571i | ||||
\(7\) | −10.6643 | + | 27.7815i | −0.575818 | + | 1.50006i | 0.267994 | + | 0.963420i | \(0.413639\pi\) |
−0.843813 | + | 0.536638i | \(0.819694\pi\) | |||||||
\(8\) | 10.7727 | − | 68.0164i | 0.476093 | − | 3.00593i | ||||
\(9\) | 2.18964 | + | 2.43184i | 0.0810979 | + | 0.0900683i | ||||
\(10\) | −12.4350 | − | 21.5381i | −0.393230 | − | 0.681094i | ||||
\(11\) | 19.2846 | − | 30.9694i | 0.528593 | − | 0.848875i | ||||
\(12\) | − | 114.587i | − | 2.75653i | ||||||
\(13\) | 44.4409 | + | 14.8997i | 0.948131 | + | 0.317880i | ||||
\(14\) | 129.257 | − | 93.9109i | 2.46753 | − | 1.79277i | ||||
\(15\) | −16.0390 | − | 19.8065i | −0.276083 | − | 0.340935i | ||||
\(16\) | −135.916 | + | 150.950i | −2.12368 | + | 2.35859i | ||||
\(17\) | −50.8241 | − | 10.8030i | −0.725098 | − | 0.154124i | −0.169446 | − | 0.985539i | \(-0.554198\pi\) |
−0.555652 | + | 0.831415i | \(0.687531\pi\) | |||||||
\(18\) | −2.74846 | − | 17.3531i | −0.0359899 | − | 0.227231i | ||||
\(19\) | 3.64986 | − | 4.50721i | 0.0440703 | − | 0.0544223i | −0.754634 | − | 0.656146i | \(-0.772186\pi\) |
0.798705 | + | 0.601723i | \(0.205519\pi\) | |||||||
\(20\) | −5.04886 | + | 96.3380i | −0.0564480 | + | 1.07709i | ||||
\(21\) | 115.774 | − | 115.774i | 1.20305 | − | 1.20305i | ||||
\(22\) | −177.395 | + | 83.0585i | −1.71913 | + | 0.804916i | ||||
\(23\) | −87.8405 | + | 50.7147i | −0.796348 | + | 0.459772i | −0.842193 | − | 0.539177i | \(-0.818736\pi\) |
0.0458443 | + | 0.998949i | \(0.485402\pi\) | |||||||
\(24\) | −206.360 | + | 317.767i | −1.75513 | + | 2.70266i | ||||
\(25\) | −60.8612 | − | 83.7682i | −0.486889 | − | 0.670146i | ||||
\(26\) | −156.541 | − | 197.044i | −1.18077 | − | 1.48629i | ||||
\(27\) | 40.3422 | + | 124.161i | 0.287551 | + | 0.884990i | ||||
\(28\) | −618.898 | + | 32.4351i | −4.17717 | + | 0.218916i | ||||
\(29\) | 229.117 | + | 24.0811i | 1.46710 | + | 0.154198i | 0.804133 | − | 0.594450i | \(-0.202630\pi\) |
0.662967 | + | 0.748648i | \(0.269297\pi\) | |||||||
\(30\) | 14.3032 | + | 136.086i | 0.0870467 | + | 0.828194i | ||||
\(31\) | −29.8245 | − | 58.5339i | −0.172795 | − | 0.339129i | 0.788326 | − | 0.615258i | \(-0.210948\pi\) |
−0.961120 | + | 0.276129i | \(0.910948\pi\) | |||||||
\(32\) | 521.266 | − | 139.673i | 2.87961 | − | 0.771590i | ||||
\(33\) | −166.237 | + | 112.507i | −0.876914 | + | 0.593482i | ||||
\(34\) | 197.262 | + | 197.262i | 0.995007 | + | 0.995007i | ||||
\(35\) | −102.438 | + | 92.2351i | −0.494717 | + | 0.445445i | ||||
\(36\) | −27.7196 | + | 62.2592i | −0.128331 | + | 0.288237i | ||||
\(37\) | −163.956 | + | 132.769i | −0.728490 | + | 0.589920i | −0.920161 | − | 0.391540i | \(-0.871943\pi\) |
0.191671 | + | 0.981459i | \(0.438609\pi\) | |||||||
\(38\) | −29.6146 | + | 9.62235i | −0.126424 | + | 0.0410777i | ||||
\(39\) | −190.032 | − | 174.345i | −0.780244 | − | 0.715834i | ||||
\(40\) | 187.497 | − | 258.068i | 0.741148 | − | 1.02010i | ||||
\(41\) | −142.632 | − | 371.570i | −0.543303 | − | 1.41535i | −0.880558 | − | 0.473939i | \(-0.842832\pi\) |
0.337255 | − | 0.941413i | \(-0.390502\pi\) | |||||||
\(42\) | −859.855 | + | 182.768i | −3.15901 | + | 0.671469i | ||||
\(43\) | 123.220 | − | 213.424i | 0.436998 | − | 0.756902i | −0.560459 | − | 0.828182i | \(-0.689375\pi\) |
0.997456 | + | 0.0712804i | \(0.0227085\pi\) | |||||||
\(44\) | 752.572 | + | 104.568i | 2.57851 | + | 0.358276i | ||||
\(45\) | 3.92320 | + | 14.6416i | 0.0129964 | + | 0.0485031i | ||||
\(46\) | 543.829 | + | 28.5009i | 1.74311 | + | 0.0913528i | ||||
\(47\) | −363.100 | − | 57.5095i | −1.12689 | − | 0.178481i | −0.434960 | − | 0.900450i | \(-0.643237\pi\) |
−0.691926 | + | 0.721969i | \(0.743237\pi\) | |||||||
\(48\) | 1020.97 | − | 454.564i | 3.07008 | − | 1.36689i | ||||
\(49\) | −403.184 | − | 363.028i | −1.17546 | − | 1.05839i | ||||
\(50\) | 29.0948 | + | 555.163i | 0.0822926 | + | 1.57024i | ||||
\(51\) | 231.284 | + | 168.038i | 0.635025 | + | 0.461373i | ||||
\(52\) | 92.9720 | + | 971.734i | 0.247940 | + | 2.59145i | ||||
\(53\) | 73.9129 | − | 227.481i | 0.191561 | − | 0.589564i | −0.808439 | − | 0.588580i | \(-0.799687\pi\) |
1.00000 | 0.000983180i | \(-0.000312956\pi\) | ||||||||
\(54\) | 181.413 | − | 677.042i | 0.457170 | − | 1.70618i | ||||
\(55\) | 144.720 | − | 87.2647i | 0.354800 | − | 0.213941i | ||||
\(56\) | 1774.71 | + | 1024.63i | 4.23493 | + | 2.44504i | ||||
\(57\) | −28.4321 | + | 14.4869i | −0.0660688 | + | 0.0336638i | ||||
\(58\) | −961.256 | − | 778.410i | −2.17619 | − | 1.76225i | ||||
\(59\) | −344.307 | − | 132.167i | −0.759745 | − | 0.291639i | −0.0525128 | − | 0.998620i | \(-0.516723\pi\) |
−0.707232 | + | 0.706982i | \(0.750056\pi\) | |||||||
\(60\) | 240.970 | − | 472.931i | 0.518485 | − | 1.01758i | ||||
\(61\) | 150.565 | − | 708.353i | 0.316031 | − | 1.48681i | −0.477692 | − | 0.878527i | \(-0.658526\pi\) |
0.793723 | − | 0.608280i | \(-0.208140\pi\) | |||||||
\(62\) | −36.8685 | + | 350.780i | −0.0755209 | + | 0.718534i | ||||
\(63\) | −90.9112 | + | 34.8976i | −0.181805 | + | 0.0697886i | ||||
\(64\) | −1210.15 | − | 393.201i | −2.36357 | − | 0.767971i | ||||
\(65\) | 152.086 | + | 154.952i | 0.290215 | + | 0.295684i | ||||
\(66\) | 1077.53 | − | 20.4932i | 2.00961 | − | 0.0382204i | ||||
\(67\) | −627.337 | − | 168.094i | −1.14390 | − | 0.306508i | −0.363383 | − | 0.931640i | \(-0.618378\pi\) |
−0.780519 | + | 0.625132i | \(0.785045\pi\) | |||||||
\(68\) | −224.986 | − | 1058.48i | −0.401229 | − | 1.88763i | ||||
\(69\) | 555.011 | − | 58.3340i | 0.968341 | − | 0.101777i | ||||
\(70\) | 730.970 | − | 115.774i | 1.24811 | − | 0.197681i | ||||
\(71\) | −460.646 | + | 299.147i | −0.769981 | + | 0.500031i | −0.868854 | − | 0.495069i | \(-0.835143\pi\) |
0.0988730 | + | 0.995100i | \(0.468476\pi\) | |||||||
\(72\) | 188.994 | − | 122.734i | 0.309349 | − | 0.200894i | ||||
\(73\) | −372.589 | + | 59.0124i | −0.597374 | + | 0.0946147i | −0.447797 | − | 0.894135i | \(-0.647791\pi\) |
−0.149577 | + | 0.988750i | \(0.547791\pi\) | |||||||
\(74\) | 1126.50 | − | 118.400i | 1.76964 | − | 0.185997i | ||||
\(75\) | 118.447 | + | 557.249i | 0.182361 | + | 0.857941i | ||||
\(76\) | 116.670 | + | 31.2617i | 0.176092 | + | 0.0471837i | ||||
\(77\) | 654.719 | + | 866.021i | 0.968989 | + | 1.28172i | ||||
\(78\) | 345.869 | + | 1340.73i | 0.502076 | + | 1.94626i | ||||
\(79\) | −126.011 | − | 40.9433i | −0.179460 | − | 0.0583099i | 0.217909 | − | 0.975969i | \(-0.430076\pi\) |
−0.397368 | + | 0.917659i | \(0.630076\pi\) | |||||||
\(80\) | −878.401 | + | 337.186i | −1.22760 | + | 0.471232i | ||||
\(81\) | 84.3174 | − | 802.227i | 0.115662 | − | 1.10045i | ||||
\(82\) | −444.285 | + | 2090.20i | −0.598330 | + | 2.81492i | ||||
\(83\) | 148.739 | − | 291.917i | 0.196702 | − | 0.386049i | −0.771496 | − | 0.636234i | \(-0.780491\pi\) |
0.968198 | + | 0.250185i | \(0.0804914\pi\) | |||||||
\(84\) | 3183.39 | + | 1221.99i | 4.13495 | + | 1.58726i | ||||
\(85\) | −187.047 | − | 151.467i | −0.238683 | − | 0.193282i | ||||
\(86\) | −1178.93 | + | 600.693i | −1.47822 | + | 0.753191i | ||||
\(87\) | −1097.73 | − | 633.776i | −1.35275 | − | 0.781010i | ||||
\(88\) | −1898.68 | − | 1645.29i | −2.30000 | − | 1.99306i | ||||
\(89\) | −13.2485 | + | 49.4443i | −0.0157791 | + | 0.0588886i | −0.973367 | − | 0.229254i | \(-0.926371\pi\) |
0.957587 | + | 0.288143i | \(0.0930379\pi\) | |||||||
\(90\) | 25.1490 | − | 77.4007i | 0.0294549 | − | 0.0906528i | ||||
\(91\) | −887.868 | + | 1075.74i | −1.02279 | + | 1.23921i | ||||
\(92\) | −1708.96 | − | 1241.64i | −1.93665 | − | 1.40706i | ||||
\(93\) | 18.9169 | + | 360.956i | 0.0210924 | + | 0.402466i | ||||
\(94\) | 1466.81 | + | 1320.72i | 1.60947 | + | 1.44917i | ||||
\(95\) | 24.5424 | − | 10.9270i | 0.0265052 | − | 0.0118009i | ||||
\(96\) | −2932.64 | − | 464.484i | −3.11783 | − | 0.493815i | ||||
\(97\) | 725.826 | + | 38.0389i | 0.759758 | + | 0.0398172i | 0.428280 | − | 0.903646i | \(-0.359120\pi\) |
0.331477 | + | 0.943463i | \(0.392453\pi\) | |||||||
\(98\) | 753.911 | + | 2813.63i | 0.777107 | + | 2.90020i | ||||
\(99\) | 117.539 | − | 20.9148i | 0.119325 | − | 0.0212325i | ||||
\(100\) | 1078.21 | − | 1867.51i | 1.07821 | − | 1.86751i | ||||
\(101\) | 1223.62 | − | 260.088i | 1.20549 | − | 0.256235i | 0.438998 | − | 0.898488i | \(-0.355334\pi\) |
0.766493 | + | 0.642253i | \(0.222000\pi\) | |||||||
\(102\) | −550.062 | − | 1432.96i | −0.533964 | − | 1.39102i | ||||
\(103\) | 611.930 | − | 842.250i | 0.585391 | − | 0.805722i | −0.408883 | − | 0.912587i | \(-0.634081\pi\) |
0.994273 | + | 0.106865i | \(0.0340814\pi\) | |||||||
\(104\) | 1492.18 | − | 2862.20i | 1.40692 | − | 2.69867i | ||||
\(105\) | 721.299 | − | 234.364i | 0.670396 | − | 0.217825i | ||||
\(106\) | −998.010 | + | 808.172i | −0.914484 | + | 0.740534i | ||||
\(107\) | 190.105 | − | 426.982i | 0.171758 | − | 0.385775i | −0.807071 | − | 0.590455i | \(-0.798948\pi\) |
0.978829 | + | 0.204679i | \(0.0656152\pi\) | |||||||
\(108\) | −2020.52 | + | 1819.28i | −1.80022 | + | 1.62093i | ||||
\(109\) | −922.579 | − | 922.579i | −0.810707 | − | 0.810707i | 0.174033 | − | 0.984740i | \(-0.444320\pi\) |
−0.984740 | + | 0.174033i | \(0.944320\pi\) | |||||||
\(110\) | −906.826 | − | 30.2478i | −0.786022 | − | 0.0262183i | ||||
\(111\) | 1121.22 | − | 300.430i | 0.958752 | − | 0.256897i | ||||
\(112\) | −2744.16 | − | 5385.71i | −2.31516 | − | 4.54377i | ||||
\(113\) | −159.779 | − | 1520.19i | −0.133015 | − | 1.26555i | −0.833754 | − | 0.552137i | \(-0.813813\pi\) |
0.700738 | − | 0.713418i | \(-0.252854\pi\) | |||||||
\(114\) | 170.387 | + | 17.9084i | 0.139984 | + | 0.0147129i | ||||
\(115\) | −469.192 | + | 24.5893i | −0.380456 | + | 0.0199388i | ||||
\(116\) | 1482.64 | + | 4563.10i | 1.18672 | + | 3.65235i | ||||
\(117\) | 61.0760 | + | 140.699i | 0.0482605 | + | 0.111176i | ||||
\(118\) | 1163.88 | + | 1601.94i | 0.907996 | + | 1.24975i | ||||
\(119\) | 842.127 | − | 1296.76i | 0.648720 | − | 0.998941i | ||||
\(120\) | −1519.95 | + | 877.545i | −1.15627 | + | 0.667571i | ||||
\(121\) | −587.209 | − | 1194.46i | −0.441179 | − | 0.897419i | ||||
\(122\) | −2749.31 | + | 2749.31i | −2.04025 | + | 2.04025i | ||||
\(123\) | −114.607 | + | 2186.84i | −0.0840145 | + | 1.60309i | ||||
\(124\) | 861.012 | − | 1063.26i | 0.623558 | − | 0.770030i | ||||
\(125\) | −165.609 | − | 1045.61i | −0.118500 | − | 0.748179i | ||||
\(126\) | 511.404 | + | 108.702i | 0.361583 | + | 0.0768569i | ||||
\(127\) | −106.650 | + | 118.447i | −0.0745169 | + | 0.0827594i | −0.779250 | − | 0.626713i | \(-0.784400\pi\) |
0.704733 | + | 0.709472i | \(0.251067\pi\) | |||||||
\(128\) | 1582.38 | + | 1954.08i | 1.09269 | + | 1.34936i | ||||
\(129\) | −1096.96 | + | 796.991i | −0.748700 | + | 0.543963i | ||||
\(130\) | −231.712 | − | 1142.45i | −0.156327 | − | 0.770766i | ||||
\(131\) | 1981.01i | 1.32123i | 0.750723 | + | 0.660617i | \(0.229705\pi\) | ||||
−0.750723 | + | 0.660617i | \(0.770295\pi\) | |||||||
\(132\) | −3548.68 | − | 2209.76i | −2.33995 | − | 1.45708i | ||||
\(133\) | 86.2935 | + | 149.465i | 0.0562601 | + | 0.0974454i | ||||
\(134\) | 2333.25 | + | 2591.34i | 1.50420 | + | 1.67058i | ||||
\(135\) | −94.6002 | + | 597.282i | −0.0603103 | + | 0.380784i | ||||
\(136\) | −1282.30 | + | 3340.50i | −0.808500 | + | 2.10622i | ||||
\(137\) | −42.1572 | − | 64.9163i | −0.0262900 | − | 0.0404830i | 0.825281 | − | 0.564722i | \(-0.191017\pi\) |
−0.851571 | + | 0.524239i | \(0.824350\pi\) | |||||||
\(138\) | −2669.70 | − | 1360.28i | −1.64681 | − | 0.839092i | ||||
\(139\) | 927.552 | + | 2083.32i | 0.566000 | + | 1.27126i | 0.939157 | + | 0.343488i | \(0.111609\pi\) |
−0.373157 | + | 0.927768i | \(0.621725\pi\) | |||||||
\(140\) | −2622.57 | − | 1167.64i | −1.58320 | − | 0.704885i | ||||
\(141\) | 1696.37 | + | 1101.64i | 1.01319 | + | 0.657976i | ||||
\(142\) | 2948.97 | 1.74276 | ||||||||
\(143\) | 1318.46 | − | 1088.97i | 0.771016 | − | 0.636816i | ||||
\(144\) | −664.693 | −0.384660 | ||||||||
\(145\) | 894.985 | + | 581.210i | 0.512583 | + | 0.332875i | ||||
\(146\) | 1850.27 | + | 823.793i | 1.04883 | + | 0.466970i | ||||
\(147\) | 1214.13 | + | 2726.99i | 0.681224 | + | 1.53005i | ||||
\(148\) | −3914.86 | − | 1994.72i | −2.17432 | − | 1.10787i | ||||
\(149\) | −1319.22 | − | 2031.41i | −0.725331 | − | 1.11691i | −0.988361 | − | 0.152125i | \(-0.951388\pi\) |
0.263030 | − | 0.964788i | \(-0.415278\pi\) | |||||||
\(150\) | 1096.15 | − | 2855.56i | 0.596666 | − | 1.55437i | ||||
\(151\) | −541.589 | + | 3419.46i | −0.291880 | + | 1.84286i | 0.209722 | + | 0.977761i | \(0.432744\pi\) |
−0.501603 | + | 0.865098i | \(0.667256\pi\) | |||||||
\(152\) | −267.245 | − | 296.806i | −0.142608 | − | 0.158382i | ||||
\(153\) | −85.0154 | − | 147.251i | −0.0449222 | − | 0.0778075i | ||||
\(154\) | −415.693 | − | 5814.06i | −0.217516 | − | 3.04227i | ||||
\(155\) | − | 304.305i | − | 0.157692i | ||||||
\(156\) | 1707.31 | − | 5092.34i | 0.876246 | − | 2.61355i | ||||
\(157\) | −1171.70 | + | 851.291i | −0.595618 | + | 0.432742i | −0.844321 | − | 0.535838i | \(-0.819996\pi\) |
0.248703 | + | 0.968580i | \(0.419996\pi\) | |||||||
\(158\) | 447.679 | + | 552.838i | 0.225414 | + | 0.278363i | ||||
\(159\) | −880.587 | + | 977.991i | −0.439214 | + | 0.487797i | ||||
\(160\) | 2445.13 | + | 519.729i | 1.20815 | + | 0.256801i | ||||
\(161\) | −472.172 | − | 2981.18i | −0.231133 | − | 1.45931i | ||||
\(162\) | −2725.52 | + | 3365.73i | −1.32183 | + | 1.63233i | ||||
\(163\) | 126.869 | − | 2420.81i | 0.0609643 | − | 1.16327i | −0.781283 | − | 0.624177i | \(-0.785434\pi\) |
0.842247 | − | 0.539091i | \(-0.181232\pi\) | |||||||
\(164\) | 5861.18 | − | 5861.18i | 2.79074 | − | 2.79074i | ||||
\(165\) | −922.701 | + | 114.758i | −0.435347 | + | 0.0541448i | ||||
\(166\) | −1523.36 | + | 879.513i | −0.712264 | + | 0.411226i | ||||
\(167\) | 1715.08 | − | 2640.98i | 0.794710 | − | 1.22375i | −0.176213 | − | 0.984352i | \(-0.556385\pi\) |
0.970923 | − | 0.239394i | \(-0.0769487\pi\) | |||||||
\(168\) | −6627.34 | − | 9121.75i | −3.04351 | − | 4.18904i | ||||
\(169\) | 1753.00 | + | 1324.32i | 0.797904 | + | 0.602784i | ||||
\(170\) | 399.323 | + | 1228.99i | 0.180157 | + | 0.554466i | ||||
\(171\) | 18.9527 | − | 0.993270i | 0.00847574 | − | 0.000444195i | ||||
\(172\) | 5104.31 | + | 536.485i | 2.26279 | + | 0.237829i | ||||
\(173\) | −51.1421 | − | 486.585i | −0.0224755 | − | 0.213840i | −0.999996 | − | 0.00299747i | \(-0.999046\pi\) |
0.977520 | − | 0.210843i | \(-0.0676208\pi\) | |||||||
\(174\) | 3089.63 | + | 6063.74i | 1.34612 | + | 2.64190i | ||||
\(175\) | 2976.25 | − | 797.483i | 1.28562 | − | 0.344480i | ||||
\(176\) | 2053.74 | + | 7120.23i | 0.879584 | + | 3.04948i | ||||
\(177\) | 1434.84 | + | 1434.84i | 0.609316 | + | 0.609316i | ||||
\(178\) | 204.239 | − | 183.898i | 0.0860022 | − | 0.0774367i | ||||
\(179\) | −712.682 | + | 1600.71i | −0.297589 | + | 0.668395i | −0.999016 | − | 0.0443458i | \(-0.985880\pi\) |
0.701428 | + | 0.712741i | \(0.252546\pi\) | |||||||
\(180\) | −245.334 | + | 198.668i | −0.101590 | + | 0.0822657i | ||||
\(181\) | 2874.29 | − | 933.912i | 1.18035 | − | 0.383520i | 0.347856 | − | 0.937548i | \(-0.386910\pi\) |
0.832498 | + | 0.554028i | \(0.186910\pi\) | |||||||
\(182\) | 7143.57 | − | 2247.59i | 2.90943 | − | 0.915399i | ||||
\(183\) | −2342.00 | + | 3223.49i | −0.946042 | + | 1.30211i | ||||
\(184\) | 2503.15 | + | 6520.94i | 1.00291 | + | 2.61266i | ||||
\(185\) | −955.895 | + | 203.182i | −0.379885 | + | 0.0807471i | ||||
\(186\) | 970.317 | − | 1680.64i | 0.382511 | − | 0.662529i | ||||
\(187\) | −1314.68 | + | 1365.66i | −0.514114 | + | 0.534048i | ||||
\(188\) | −1981.59 | − | 7395.40i | −0.768736 | − | 2.86896i | ||||
\(189\) | −3879.59 | − | 203.320i | −1.49311 | − | 0.0782507i | ||||
\(190\) | −142.463 | − | 22.5639i | −0.0543965 | − | 0.00861555i | ||||
\(191\) | 2365.23 | − | 1053.07i | 0.896033 | − | 0.398940i | 0.0935501 | − | 0.995615i | \(-0.470178\pi\) |
0.802483 | + | 0.596675i | \(0.203512\pi\) | |||||||
\(192\) | 5202.70 | + | 4684.53i | 1.95559 | + | 1.76082i | ||||
\(193\) | 133.137 | + | 2540.40i | 0.0496549 | + | 0.947471i | 0.903938 | + | 0.427663i | \(0.140663\pi\) |
−0.854283 | + | 0.519808i | \(0.826004\pi\) | |||||||
\(194\) | −3157.04 | − | 2293.72i | −1.16836 | − | 0.848865i | ||||
\(195\) | −417.676 | − | 1119.20i | −0.153387 | − | 0.411012i | ||||
\(196\) | 3491.59 | − | 10746.0i | 1.27244 | − | 3.91618i | ||||
\(197\) | 647.284 | − | 2415.70i | 0.234097 | − | 0.873661i | −0.744457 | − | 0.667670i | \(-0.767292\pi\) |
0.978554 | − | 0.205991i | \(-0.0660417\pi\) | |||||||
\(198\) | −590.417 | − | 249.529i | −0.211915 | − | 0.0895618i | ||||
\(199\) | −2528.17 | − | 1459.64i | −0.900589 | − | 0.519955i | −0.0231975 | − | 0.999731i | \(-0.507385\pi\) |
−0.877391 | + | 0.479776i | \(0.840718\pi\) | |||||||
\(200\) | −6353.26 | + | 3237.15i | −2.24622 | + | 1.14450i | ||||
\(201\) | 2777.04 | + | 2248.81i | 0.974516 | + | 0.789147i | ||||
\(202\) | −6270.29 | − | 2406.94i | −2.18404 | − | 0.838374i | ||||
\(203\) | −3112.38 | + | 6108.39i | −1.07609 | + | 2.11195i | ||||
\(204\) | −1237.88 | + | 5823.77i | −0.424848 | + | 1.99875i | ||||
\(205\) | 192.711 | − | 1833.52i | 0.0656560 | − | 0.624675i | ||||
\(206\) | −5218.30 | + | 2003.12i | −1.76493 | + | 0.677494i | ||||
\(207\) | −315.670 | − | 102.567i | −0.105993 | − | 0.0344392i | ||||
\(208\) | −8289.33 | + | 4683.24i | −2.76328 | + | 1.56117i | ||||
\(209\) | −69.1994 | − | 199.954i | −0.0229025 | − | 0.0661775i | ||||
\(210\) | −3933.21 | − | 1053.90i | −1.29246 | − | 0.346314i | ||||
\(211\) | −144.817 | − | 681.309i | −0.0472493 | − | 0.222290i | 0.948188 | − | 0.317710i | \(-0.102914\pi\) |
−0.995437 | + | 0.0954199i | \(0.969581\pi\) | |||||||
\(212\) | 4954.09 | − | 520.696i | 1.60494 | − | 0.168686i | ||||
\(213\) | 2984.83 | − | 472.750i | 0.960174 | − | 0.152077i | ||||
\(214\) | −2104.58 | + | 1366.73i | −0.672272 | + | 0.436578i | ||||
\(215\) | 957.382 | − | 621.731i | 0.303688 | − | 0.197217i | ||||
\(216\) | 8879.56 | − | 1406.38i | 2.79712 | − | 0.443020i | ||||
\(217\) | 1944.21 | − | 204.345i | 0.608211 | − | 0.0639256i | ||||
\(218\) | 1456.44 | + | 6852.00i | 0.452488 | + | 2.12879i | ||||
\(219\) | 2004.83 | + | 537.193i | 0.618602 | + | 0.165754i | ||||
\(220\) | 2886.17 | + | 2014.20i | 0.884479 | + | 0.617260i | ||||
\(221\) | −2097.71 | − | 1237.36i | −0.638494 | − | 0.376624i | ||||
\(222\) | −5927.17 | − | 1925.85i | −1.79192 | − | 0.582229i | ||||
\(223\) | −1869.00 | + | 717.441i | −0.561243 | + | 0.215441i | −0.622417 | − | 0.782686i | \(-0.713849\pi\) |
0.0611734 | + | 0.998127i | \(0.480516\pi\) | |||||||
\(224\) | −1678.62 | + | 15971.0i | −0.500704 | + | 4.76388i | ||||
\(225\) | 70.4471 | − | 331.428i | 0.0208732 | − | 0.0982007i | ||||
\(226\) | −3725.85 | + | 7312.39i | −1.09664 | + | 2.15227i | ||||
\(227\) | 290.231 | + | 111.409i | 0.0848604 | + | 0.0325749i | 0.400428 | − | 0.916328i | \(-0.368862\pi\) |
−0.315567 | + | 0.948903i | \(0.602195\pi\) | |||||||
\(228\) | −516.466 | − | 418.226i | −0.150017 | − | 0.121481i | ||||
\(229\) | 1674.07 | − | 852.981i | 0.483081 | − | 0.246142i | −0.195450 | − | 0.980714i | \(-0.562617\pi\) |
0.678531 | + | 0.734571i | \(0.262617\pi\) | |||||||
\(230\) | 2184.60 | + | 1261.28i | 0.626296 | + | 0.361592i | ||||
\(231\) | −1352.80 | − | 5818.11i | −0.385315 | − | 1.65716i | ||||
\(232\) | 4106.13 | − | 15324.3i | 1.16199 | − | 4.33659i | ||||
\(233\) | −251.507 | + | 774.060i | −0.0707159 | + | 0.217641i | −0.980168 | − | 0.198167i | \(-0.936501\pi\) |
0.909452 | + | 0.415808i | \(0.136501\pi\) | |||||||
\(234\) | 136.412 | − | 812.138i | 0.0381092 | − | 0.226885i | ||||
\(235\) | −1377.67 | − | 1000.94i | −0.382424 | − | 0.277847i | ||||
\(236\) | −401.981 | − | 7670.25i | −0.110876 | − | 2.11564i | ||||
\(237\) | 541.748 | + | 487.792i | 0.148482 | + | 0.133694i | ||||
\(238\) | −7583.91 | + | 3376.57i | −2.06551 | + | 0.919625i | ||||
\(239\) | −3330.15 | − | 527.444i | −0.901296 | − | 0.142751i | −0.311446 | − | 0.950264i | \(-0.600813\pi\) |
−0.589850 | + | 0.807513i | \(0.700813\pi\) | |||||||
\(240\) | 5169.74 | + | 270.934i | 1.39044 | + | 0.0728698i | ||||
\(241\) | 677.685 | + | 2529.15i | 0.181135 | + | 0.676005i | 0.995425 | + | 0.0955464i | \(0.0304598\pi\) |
−0.814290 | + | 0.580458i | \(0.802873\pi\) | |||||||
\(242\) | −848.717 | + | 7095.57i | −0.225445 | + | 1.88480i | ||||
\(243\) | −456.668 | + | 790.972i | −0.120557 | + | 0.208810i | ||||
\(244\) | 14752.3 | − | 3135.70i | 3.87058 | − | 0.822717i | ||||
\(245\) | −900.618 | − | 2346.19i | −0.234851 | − | 0.611807i | ||||
\(246\) | 6910.74 | − | 9511.82i | 1.79111 | − | 2.46525i | ||||
\(247\) | 229.360 | − | 145.923i | 0.0590842 | − | 0.0375904i | ||||
\(248\) | −4302.56 | + | 1397.99i | −1.10166 | + | 0.357952i | ||||
\(249\) | −1400.89 | + | 1134.42i | −0.356537 | + | 0.288718i | ||||
\(250\) | −2311.84 | + | 5192.48i | −0.584855 | + | 1.31360i | ||||
\(251\) | 157.526 | − | 141.837i | 0.0396132 | − | 0.0356679i | −0.649086 | − | 0.760715i | \(-0.724849\pi\) |
0.688700 | + | 0.725047i | \(0.258182\pi\) | |||||||
\(252\) | −1434.04 | − | 1434.04i | −0.358477 | − | 0.358477i | ||||
\(253\) | −123.362 | + | 3698.38i | −0.0306550 | + | 0.919033i | ||||
\(254\) | 826.584 | − | 221.483i | 0.204191 | − | 0.0547128i | ||||
\(255\) | 601.198 | + | 1179.92i | 0.147641 | + | 0.289762i | ||||
\(256\) | −347.096 | − | 3302.39i | −0.0847402 | − | 0.806249i | ||||
\(257\) | −7603.27 | − | 799.136i | −1.84544 | − | 0.193964i | −0.883726 | − | 0.468005i | \(-0.844973\pi\) |
−0.961718 | + | 0.274041i | \(0.911640\pi\) | |||||||
\(258\) | 7269.98 | − | 381.004i | 1.75430 | − | 0.0919390i | ||||
\(259\) | −1940.03 | − | 5970.81i | −0.465436 | − | 1.43246i | ||||
\(260\) | −1659.79 | + | 4206.13i | −0.395906 | + | 1.00328i | ||||
\(261\) | 443.122 | + | 609.905i | 0.105090 | + | 0.144644i | ||||
\(262\) | 5792.82 | − | 8920.16i | 1.36596 | − | 2.10339i | ||||
\(263\) | −4584.80 | + | 2647.04i | −1.07495 | + | 0.620621i | −0.929529 | − | 0.368750i | \(-0.879786\pi\) |
−0.145418 | + | 0.989370i | \(0.546453\pi\) | |||||||
\(264\) | 5861.48 | + | 12518.9i | 1.36647 | + | 2.91849i | ||||
\(265\) | 783.439 | − | 783.439i | 0.181609 | − | 0.181609i | ||||
\(266\) | 48.4956 | − | 925.352i | 0.0111784 | − | 0.213297i | ||||
\(267\) | 177.242 | − | 218.876i | 0.0406256 | − | 0.0501685i | ||||
\(268\) | −2115.93 | − | 13359.4i | −0.482279 | − | 3.04499i | ||||
\(269\) | −3619.29 | − | 769.303i | −0.820341 | − | 0.174369i | −0.221422 | − | 0.975178i | \(-0.571070\pi\) |
−0.598920 | + | 0.800809i | \(0.704403\pi\) | |||||||
\(270\) | 2172.52 | − | 2412.83i | 0.489688 | − | 0.543853i | ||||
\(271\) | 1140.69 | + | 1408.64i | 0.255690 | + | 0.315751i | 0.888786 | − | 0.458322i | \(-0.151549\pi\) |
−0.633096 | + | 0.774073i | \(0.718216\pi\) | |||||||
\(272\) | 8538.50 | − | 6203.59i | 1.90339 | − | 1.38290i | ||||
\(273\) | 6870.12 | − | 3420.11i | 1.52307 | − | 0.758221i | ||||
\(274\) | 415.582i | 0.0916285i | ||||||||
\(275\) | −3767.94 | + | 269.399i | −0.826237 | + | 0.0590741i | ||||
\(276\) | 5811.24 | + | 10065.4i | 1.26737 | + | 2.19516i | ||||
\(277\) | 2633.54 | + | 2924.84i | 0.571243 | + | 0.634429i | 0.957662 | − | 0.287894i | \(-0.0929550\pi\) |
−0.386420 | + | 0.922323i | \(0.626288\pi\) | |||||||
\(278\) | 1915.37 | − | 12093.1i | 0.413223 | − | 2.60899i | ||||
\(279\) | 77.0403 | − | 200.697i | 0.0165315 | − | 0.0430660i | ||||
\(280\) | 5169.97 | + | 7961.06i | 1.10345 | + | 1.69916i | ||||
\(281\) | −2863.55 | − | 1459.05i | −0.607919 | − | 0.309750i | 0.122797 | − | 0.992432i | \(-0.460814\pi\) |
−0.730716 | + | 0.682682i | \(0.760814\pi\) | |||||||
\(282\) | −4417.10 | − | 9920.97i | −0.932747 | − | 2.09498i | ||||
\(283\) | −4072.99 | − | 1813.41i | −0.855527 | − | 0.380905i | −0.0683715 | − | 0.997660i | \(-0.521780\pi\) |
−0.787155 | + | 0.616755i | \(0.788447\pi\) | |||||||
\(284\) | −9593.53 | − | 6230.11i | −2.00448 | − | 1.30172i | ||||
\(285\) | −147.812 | −0.0307215 | ||||||||
\(286\) | −9121.16 | + | 1048.06i | −1.88582 | + | 0.216689i | ||||
\(287\) | 11843.8 | 2.43596 | ||||||||
\(288\) | 1481.05 | + | 961.804i | 0.303027 | + | 0.196788i | ||||
\(289\) | −2021.86 | − | 900.192i | −0.411533 | − | 0.183226i | ||||
\(290\) | −2330.41 | − | 5234.18i | −0.471884 | − | 1.05987i | ||||
\(291\) | −3563.14 | − | 1815.51i | −0.717783 | − | 0.365728i | ||||
\(292\) | −4278.88 | − | 6588.90i | −0.857544 | − | 1.32050i | ||||
\(293\) | 1415.23 | − | 3686.80i | 0.282180 | − | 0.735103i | −0.717093 | − | 0.696977i | \(-0.754528\pi\) |
0.999273 | − | 0.0381258i | \(-0.0121388\pi\) | |||||||
\(294\) | 2507.14 | − | 15829.5i | 0.497346 | − | 3.14012i | ||||
\(295\) | −1143.11 | − | 1269.55i | −0.225608 | − | 0.250563i | ||||
\(296\) | 7264.20 | + | 12582.0i | 1.42643 | + | 2.47065i | ||||
\(297\) | 4623.17 | + | 1145.01i | 0.903243 | + | 0.223705i | ||||
\(298\) | 13004.7i | 2.52800i | ||||||||
\(299\) | −4659.35 | + | 945.011i | −0.901195 | + | 0.182781i | ||||
\(300\) | −9598.73 | + | 6973.89i | −1.84728 | + | 1.34212i | ||||
\(301\) | 4615.16 | + | 5699.25i | 0.883766 | + | 1.09136i | ||||
\(302\) | 12437.8 | − | 13813.5i | 2.36991 | − | 2.63205i | ||||
\(303\) | −6732.39 | − | 1431.01i | −1.27645 | − | 0.271319i | ||||
\(304\) | 184.288 | + | 1163.55i | 0.0347685 | + | 0.219520i | ||||
\(305\) | 2111.05 | − | 2606.93i | 0.396323 | − | 0.489418i | ||||
\(306\) | −47.7774 | + | 911.646i | −0.00892565 | + | 0.170312i | ||||
\(307\) | −6083.33 | + | 6083.33i | −1.13092 | + | 1.13092i | −0.140901 | + | 0.990024i | \(0.545000\pi\) |
−0.990024 | + | 0.140901i | \(0.955000\pi\) | |||||||
\(308\) | −10930.7 | + | 19792.4i | −2.02219 | + | 3.66161i | ||||
\(309\) | −4960.63 | + | 2864.02i | −0.913270 | + | 0.527277i | ||||
\(310\) | −889.839 | + | 1370.23i | −0.163030 | + | 0.251045i | ||||
\(311\) | 1556.38 | + | 2142.18i | 0.283776 | + | 0.390585i | 0.926980 | − | 0.375110i | \(-0.122395\pi\) |
−0.643204 | + | 0.765695i | \(0.722395\pi\) | |||||||
\(312\) | −13905.5 | + | 11047.1i | −2.52322 | + | 2.00456i | ||||
\(313\) | −338.656 | − | 1042.28i | −0.0611565 | − | 0.188220i | 0.915811 | − | 0.401610i | \(-0.131549\pi\) |
−0.976967 | + | 0.213390i | \(0.931549\pi\) | |||||||
\(314\) | 7765.29 | − | 406.962i | 1.39561 | − | 0.0731407i | ||||
\(315\) | −448.603 | − | 47.1501i | −0.0802410 | − | 0.00843367i | ||||
\(316\) | −288.434 | − | 2744.27i | −0.0513471 | − | 0.488535i | ||||
\(317\) | 4292.93 | + | 8425.34i | 0.760614 | + | 1.49279i | 0.866915 | + | 0.498456i | \(0.166099\pi\) |
−0.106301 | + | 0.994334i | \(0.533901\pi\) | |||||||
\(318\) | 6824.95 | − | 1828.74i | 1.20353 | − | 0.322486i | ||||
\(319\) | 5164.20 | − | 6631.21i | 0.906394 | − | 1.16388i | ||||
\(320\) | −4167.73 | − | 4167.73i | −0.728072 | − | 0.728072i | ||||
\(321\) | −1911.07 | + | 1720.73i | −0.332291 | + | 0.299196i | ||||
\(322\) | −6591.36 | + | 14804.4i | −1.14075 | + | 2.56217i | ||||
\(323\) | −234.192 | + | 189.645i | −0.0403431 | + | 0.0326692i | ||||
\(324\) | 15977.2 | − | 5191.30i | 2.73957 | − | 0.890141i | ||||
\(325\) | −1456.60 | − | 4629.56i | −0.248609 | − | 0.790159i | ||||
\(326\) | −7650.14 | + | 10529.5i | −1.29970 | + | 1.78888i | ||||
\(327\) | 2572.59 | + | 6701.83i | 0.435060 | + | 1.13337i | ||||
\(328\) | −26809.4 | + | 5698.51i | −4.51311 | + | 0.959292i | ||||
\(329\) | 5469.91 | − | 9474.16i | 0.916614 | − | 1.58762i | ||||
\(330\) | 4490.34 | + | 2181.40i | 0.749046 | + | 0.363886i | ||||
\(331\) | 585.321 | + | 2184.45i | 0.0971968 | + | 0.362743i | 0.997343 | − | 0.0728438i | \(-0.0232075\pi\) |
−0.900147 | + | 0.435587i | \(0.856541\pi\) | |||||||
\(332\) | 6813.87 | + | 357.100i | 1.12638 | + | 0.0590313i | ||||
\(333\) | −681.877 | − | 107.999i | −0.112212 | − | 0.0177727i | ||||
\(334\) | −15445.4 | + | 6876.73i | −2.53034 | + | 1.12658i | ||||
\(335\) | −2235.70 | − | 2013.03i | −0.364624 | − | 0.328309i | ||||
\(336\) | 1740.55 | + | 33211.6i | 0.282603 | + | 5.39238i | ||||
\(337\) | 5219.53 | + | 3792.21i | 0.843698 | + | 0.612982i | 0.923401 | − | 0.383836i | \(-0.125397\pi\) |
−0.0797034 | + | 0.996819i | \(0.525397\pi\) | |||||||
\(338\) | −4020.91 | − | 11089.2i | −0.647067 | − | 1.78454i | ||||
\(339\) | −2598.90 | + | 7998.60i | −0.416380 | + | 1.28149i | ||||
\(340\) | 1297.34 | − | 4841.75i | 0.206936 | − | 0.772297i | ||||
\(341\) | −2387.91 | − | 205.154i | −0.379216 | − | 0.0325799i | ||||
\(342\) | −88.2454 | − | 50.9485i | −0.0139525 | − | 0.00805550i | ||||
\(343\) | 5290.64 | − | 2695.72i | 0.832851 | − | 0.424359i | ||||
\(344\) | −13188.9 | − | 10680.2i | −2.06714 | − | 1.67394i | ||||
\(345\) | 2413.36 | + | 926.400i | 0.376611 | + | 0.144567i | ||||
\(346\) | −1192.57 | + | 2340.56i | −0.185298 | + | 0.363668i | ||||
\(347\) | 2512.41 | − | 11820.0i | 0.388684 | − | 1.82861i | −0.153242 | − | 0.988189i | \(-0.548971\pi\) |
0.541926 | − | 0.840426i | \(-0.317695\pi\) | |||||||
\(348\) | 2759.38 | − | 26253.7i | 0.425052 | − | 4.04410i | ||||
\(349\) | 8033.76 | − | 3083.87i | 1.23220 | − | 0.472997i | 0.346848 | − | 0.937921i | \(-0.387252\pi\) |
0.885350 | + | 0.464925i | \(0.153919\pi\) | |||||||
\(350\) | −15733.5 | − | 5112.13i | −2.40283 | − | 0.780728i | ||||
\(351\) | −57.1136 | + | 6118.90i | −0.00868518 | + | 0.930493i | ||||
\(352\) | 5726.81 | − | 18836.8i | 0.867160 | − | 2.85229i | ||||
\(353\) | −2526.14 | − | 676.878i | −0.380887 | − | 0.102058i | 0.0632953 | − | 0.997995i | \(-0.479839\pi\) |
−0.444182 | + | 0.895937i | \(0.646506\pi\) | |||||||
\(354\) | −2265.11 | − | 10656.5i | −0.340083 | − | 1.59997i | ||||
\(355\) | −2530.30 | + | 265.946i | −0.378294 | + | 0.0397604i | ||||
\(356\) | −1052.94 | + | 166.769i | −0.156757 | + | 0.0248279i | ||||
\(357\) | −7134.83 | + | 4633.41i | −1.05775 | + | 0.686908i | ||||
\(358\) | 7889.84 | − | 5123.72i | 1.16478 | − | 0.756416i | ||||
\(359\) | −1590.37 | + | 251.889i | −0.233806 | + | 0.0370312i | −0.272238 | − | 0.962230i | \(-0.587764\pi\) |
0.0384318 | + | 0.999261i | \(0.487764\pi\) | |||||||
\(360\) | 1038.13 | − | 109.112i | 0.151984 | − | 0.0159742i | ||||
\(361\) | 1419.07 | + | 6676.21i | 0.206892 | + | 0.973351i | ||||
\(362\) | −15673.3 | − | 4199.66i | −2.27561 | − | 0.609749i | ||||
\(363\) | 278.456 | + | 7317.91i | 0.0402622 | + | 1.05810i | ||||
\(364\) | −27987.7 | − | 7779.97i | −4.03009 | − | 1.12028i | ||||
\(365\) | −1661.88 | − | 539.977i | −0.238320 | − | 0.0774347i | ||||
\(366\) | 19971.7 | − | 7666.40i | 2.85228 | − | 1.09489i | ||||
\(367\) | −117.192 | + | 1115.00i | −0.0166685 | + | 0.158590i | −0.999690 | − | 0.0249005i | \(-0.992073\pi\) |
0.983021 | + | 0.183491i | \(0.0587398\pi\) | |||||||
\(368\) | 4283.53 | − | 20152.4i | 0.606778 | − | 2.85467i | ||||
\(369\) | 591.286 | − | 1160.46i | 0.0834177 | − | 0.163717i | ||||
\(370\) | 4898.37 | + | 1880.31i | 0.688255 | + | 0.264196i | ||||
\(371\) | 5531.52 | + | 4479.33i | 0.774075 | + | 0.626834i | ||||
\(372\) | −6707.20 | + | 3417.49i | −0.934818 | + | 0.476314i | ||||
\(373\) | 10840.6 | + | 6258.84i | 1.50484 | + | 0.868822i | 0.999984 | + | 0.00561992i | \(0.00178889\pi\) |
0.504859 | + | 0.863202i | \(0.331544\pi\) | |||||||
\(374\) | 9913.23 | − | 2304.98i | 1.37059 | − | 0.318683i | ||||
\(375\) | −1507.54 | + | 5626.23i | −0.207598 | + | 0.774766i | ||||
\(376\) | −7823.18 | + | 24077.3i | −1.07300 | + | 3.30237i | ||||
\(377\) | 9823.36 | + | 4483.97i | 1.34199 | + | 0.612562i | ||||
\(378\) | 16874.6 | + | 12260.1i | 2.29612 | + | 1.66823i | ||||
\(379\) | −167.458 | − | 3195.29i | −0.0226959 | − | 0.433064i | −0.986220 | − | 0.165441i | \(-0.947095\pi\) |
0.963524 | − | 0.267623i | \(-0.0862381\pi\) | |||||||
\(380\) | 415.788 | + | 374.377i | 0.0561302 | + | 0.0505398i | ||||
\(381\) | 801.129 | − | 356.686i | 0.107725 | − | 0.0479621i | ||||
\(382\) | −13729.6 | − | 2174.56i | −1.83892 | − | 0.291256i | ||||
\(383\) | −2419.89 | − | 126.821i | −0.322848 | − | 0.0169197i | −0.109776 | − | 0.993956i | \(-0.535013\pi\) |
−0.213072 | + | 0.977037i | \(0.568347\pi\) | |||||||
\(384\) | −3580.62 | − | 13363.1i | −0.475841 | − | 1.77586i | ||||
\(385\) | 881.003 | + | 4951.15i | 0.116624 | + | 0.655412i | ||||
\(386\) | 6829.07 | − | 11828.3i | 0.900494 | − | 1.55970i | ||||
\(387\) | 788.821 | − | 167.669i | 0.103612 | − | 0.0220235i | ||||
\(388\) | 5424.61 | + | 14131.6i | 0.709776 | + | 1.84903i | ||||
\(389\) | 3015.02 | − | 4149.81i | 0.392975 | − | 0.540884i | −0.565988 | − | 0.824413i | \(-0.691505\pi\) |
0.958964 | + | 0.283529i | \(0.0915053\pi\) | |||||||
\(390\) | −1392.00 | + | 6260.91i | −0.180735 | + | 0.812906i | ||||
\(391\) | 5012.29 | − | 1628.59i | 0.648292 | − | 0.210643i | ||||
\(392\) | −29035.3 | + | 23512.3i | −3.74108 | + | 3.02947i | ||||
\(393\) | 4433.26 | − | 9957.27i | 0.569029 | − | 1.27806i | ||||
\(394\) | −9978.52 | + | 8984.70i | −1.27592 | + | 1.14884i | ||||
\(395\) | −433.978 | − | 433.978i | −0.0552806 | − | 0.0552806i | ||||
\(396\) | 1393.57 | + | 2059.10i | 0.176842 | + | 0.261298i | ||||
\(397\) | −4671.19 | + | 1251.64i | −0.590530 | + | 0.158232i | −0.541695 | − | 0.840575i | \(-0.682217\pi\) |
−0.0488344 | + | 0.998807i | \(0.515551\pi\) | |||||||
\(398\) | 7115.68 | + | 13965.3i | 0.896173 | + | 1.75884i | ||||
\(399\) | −99.2581 | − | 944.378i | −0.0124539 | − | 0.118491i | ||||
\(400\) | 20916.8 | + | 2198.44i | 2.61460 | + | 0.274805i | ||||
\(401\) | −12042.5 | + | 631.122i | −1.49969 | + | 0.0785954i | −0.784410 | − | 0.620243i | \(-0.787034\pi\) |
−0.715279 | + | 0.698839i | \(0.753701\pi\) | |||||||
\(402\) | −5928.66 | − | 18246.5i | −0.735559 | − | 2.26382i | ||||
\(403\) | −453.289 | − | 3045.68i | −0.0560297 | − | 0.376466i | ||||
\(404\) | 15313.4 | + | 21077.1i | 1.88582 | + | 2.59560i | ||||
\(405\) | 2035.04 | − | 3133.69i | 0.249684 | − | 0.384480i | ||||
\(406\) | 31876.5 | − | 18403.9i | 3.89656 | − | 2.24968i | ||||
\(407\) | 949.950 | + | 7638.00i | 0.115694 | + | 0.930225i | ||||
\(408\) | 13920.9 | − | 13920.9i | 1.68919 | − | 1.68919i | ||||
\(409\) | 365.319 | − | 6970.70i | 0.0441659 | − | 0.842736i | −0.883295 | − | 0.468817i | \(-0.844680\pi\) |
0.927461 | − | 0.373919i | \(-0.121986\pi\) | |||||||
\(410\) | −6229.26 | + | 7692.50i | −0.750345 | + | 0.926599i | ||||
\(411\) | 66.6221 | + | 420.635i | 0.00799568 | + | 0.0504827i | ||||
\(412\) | 21208.0 | + | 4507.89i | 2.53602 | + | 0.539048i | ||||
\(413\) | 7343.59 | − | 8155.88i | 0.874950 | − | 0.971730i | ||||
\(414\) | 1121.48 | + | 1384.92i | 0.133135 | + | 0.164408i | ||||
\(415\) | 1227.77 | − | 892.029i | 0.145227 | − | 0.105513i | ||||
\(416\) | 25246.6 | + | 1559.53i | 2.97552 | + | 0.183804i | ||||
\(417\) | − | 12547.2i | − | 1.47348i | ||||||
\(418\) | −273.106 | + | 1102.71i | −0.0319571 | + | 0.129032i | ||||
\(419\) | −345.772 | − | 598.895i | −0.0403152 | − | 0.0698281i | 0.845164 | − | 0.534508i | \(-0.179503\pi\) |
−0.885479 | + | 0.464679i | \(0.846170\pi\) | |||||||
\(420\) | 10568.9 | + | 11738.0i | 1.22788 | + | 1.36370i | ||||
\(421\) | 887.539 | − | 5603.70i | 0.102746 | − | 0.648712i | −0.881537 | − | 0.472114i | \(-0.843491\pi\) |
0.984283 | − | 0.176597i | \(-0.0565091\pi\) | |||||||
\(422\) | −1340.18 | + | 3491.29i | −0.154595 | + | 0.402733i | ||||
\(423\) | −655.206 | − | 1008.93i | −0.0753126 | − | 0.115971i | ||||
\(424\) | −14676.2 | − | 7477.89i | −1.68099 | − | 0.856505i | ||||
\(425\) | 2188.27 | + | 4914.93i | 0.249757 | + | 0.560963i | ||||
\(426\) | −14822.6 | − | 6599.43i | −1.68581 | − | 0.750572i | ||||
\(427\) | 18073.4 | + | 11737.0i | 2.04832 | + | 1.33020i | ||||
\(428\) | 9733.99 | 1.09932 | ||||||||
\(429\) | −9064.05 | + | 2523.02i | −1.02009 | + | 0.283945i | ||||
\(430\) | −6128.98 | −0.687362 | ||||||||
\(431\) | −2095.08 | − | 1360.56i | −0.234145 | − | 0.152055i | 0.422234 | − | 0.906487i | \(-0.361246\pi\) |
−0.656379 | + | 0.754431i | \(0.727913\pi\) | |||||||
\(432\) | −24225.2 | − | 10785.7i | −2.69799 | − | 1.20122i | ||||
\(433\) | 2182.60 | + | 4902.19i | 0.242238 | + | 0.544074i | 0.993220 | − | 0.116247i | \(-0.0370866\pi\) |
−0.750983 | + | 0.660322i | \(0.770420\pi\) | |||||||
\(434\) | −9352.00 | − | 4765.08i | −1.03436 | − | 0.527031i | ||||
\(435\) | −3197.84 | − | 4924.24i | −0.352470 | − | 0.542757i | ||||
\(436\) | 9737.76 | − | 25367.7i | 1.06962 | − | 2.78645i | ||||
\(437\) | −92.0241 | + | 581.017i | −0.0100735 | + | 0.0636014i | ||||
\(438\) | −7456.57 | − | 8281.36i | −0.813444 | − | 0.903421i | ||||
\(439\) | −3000.06 | − | 5196.26i | −0.326162 | − | 0.564929i | 0.655585 | − | 0.755121i | \(-0.272422\pi\) |
−0.981747 | + | 0.190193i | \(0.939089\pi\) | |||||||
\(440\) | −4376.40 | − | 10783.4i | −0.474174 | − | 1.16836i | ||||
\(441\) | − | 1775.38i | − | 0.191705i | ||||||
\(442\) | 5827.37 | + | 11705.7i | 0.627104 | + | 1.25969i | ||||
\(443\) | 6576.85 | − | 4778.36i | 0.705363 | − | 0.512476i | −0.176312 | − | 0.984334i | \(-0.556417\pi\) |
0.881674 | + | 0.471858i | \(0.156417\pi\) | |||||||
\(444\) | 15213.5 | + | 18787.1i | 1.62613 | + | 2.00810i | ||||
\(445\) | −158.659 | + | 176.209i | −0.0169015 | + | 0.0187710i | ||||
\(446\) | 10513.7 | + | 2234.75i | 1.11623 | + | 0.237262i | ||||
\(447\) | 2084.79 | + | 13162.9i | 0.220598 | + | 1.39280i | ||||
\(448\) | 23829.1 | − | 29426.5i | 2.51299 | − | 3.10328i | ||||
\(449\) | −800.064 | + | 15266.1i | −0.0840921 | + | 1.60457i | 0.552594 | + | 0.833451i | \(0.313638\pi\) |
−0.636686 | + | 0.771123i | \(0.719695\pi\) | |||||||
\(450\) | −1286.36 | + | 1286.36i | −0.134755 | + | 0.134755i | ||||
\(451\) | −14257.9 | − | 2748.33i | −1.48864 | − | 0.286949i | ||||
\(452\) | 27569.3 | − | 15917.2i | 2.86892 | − | 1.65637i | ||||
\(453\) | 10374.6 | − | 15975.4i | 1.07602 | − | 1.65693i | ||||
\(454\) | −981.081 | − | 1350.34i | −0.101419 | − | 0.139592i | ||||
\(455\) | −5926.70 | + | 2572.73i | −0.610655 | + | 0.265080i | ||||
\(456\) | 679.054 | + | 2089.91i | 0.0697360 | + | 0.214625i | ||||
\(457\) | −6403.74 | + | 335.606i | −0.655480 | + | 0.0343523i | −0.377177 | − | 0.926141i | \(-0.623105\pi\) |
−0.278303 | + | 0.960493i | \(0.589772\pi\) | |||||||
\(458\) | −10032.3 | − | 1054.44i | −1.02354 | − | 0.107578i | ||||
\(459\) | −709.051 | − | 6746.17i | −0.0721039 | − | 0.686022i | ||||
\(460\) | −4442.26 | − | 8718.43i | −0.450264 | − | 0.883693i | ||||
\(461\) | −14940.2 | + | 4003.21i | −1.50940 | + | 0.404443i | −0.916236 | − | 0.400638i | \(-0.868788\pi\) |
−0.593165 | + | 0.805081i | \(0.702122\pi\) | |||||||
\(462\) | −10921.7 | + | 30153.8i | −1.09984 | + | 3.03654i | ||||
\(463\) | 10102.2 | + | 10102.2i | 1.01401 | + | 1.01401i | 0.999900 | + | 0.0141116i | \(0.00449202\pi\) |
0.0141116 | + | 0.999900i | \(0.495508\pi\) | |||||||
\(464\) | −34775.6 | + | 31312.1i | −3.47935 | + | 3.13282i | ||||
\(465\) | −680.997 | + | 1529.54i | −0.0679150 | + | 0.152540i | ||||
\(466\) | 3395.98 | − | 2750.01i | 0.337587 | − | 0.273373i | ||||
\(467\) | −2157.69 | + | 701.077i | −0.213803 | + | 0.0694689i | −0.413960 | − | 0.910295i | \(-0.635855\pi\) |
0.200157 | + | 0.979764i | \(0.435855\pi\) | |||||||
\(468\) | −2159.53 | + | 2353.84i | −0.213300 | + | 0.232493i | ||||
\(469\) | 11360.0 | − | 15635.7i | 1.11846 | − | 1.53943i | ||||
\(470\) | 3276.52 | + | 8535.61i | 0.321563 | + | 0.837699i | ||||
\(471\) | 7794.48 | − | 1656.77i | 0.762528 | − | 0.162080i | ||||
\(472\) | −12698.7 | + | 21994.7i | −1.23835 | + | 2.14489i | ||||
\(473\) | −4233.35 | − | 7931.84i | −0.411522 | − | 0.771049i | ||||
\(474\) | −1013.01 | − | 3780.61i | −0.0981628 | − | 0.366349i | ||||
\(475\) | −599.696 | − | 31.4287i | −0.0579283 | − | 0.00303589i | ||||
\(476\) | 31805.3 | + | 5037.47i | 3.06259 | + | 0.485067i | ||||
\(477\) | 715.041 | − | 318.357i | 0.0686362 | − | 0.0305588i | ||||
\(478\) | 13452.8 | + | 12112.9i | 1.28727 | + | 1.15906i | ||||
\(479\) | 16.3203 | + | 311.411i | 0.00155678 | + | 0.0297050i | 0.999297 | − | 0.0374776i | \(-0.0119323\pi\) |
−0.997741 | + | 0.0671827i | \(0.978599\pi\) | |||||||
\(480\) | −11127.0 | − | 8084.25i | −1.05808 | − | 0.768737i | ||||
\(481\) | −9264.56 | + | 3457.47i | −0.878228 | + | 0.327748i | ||||
\(482\) | 4344.18 | − | 13370.0i | 0.410523 | − | 1.26346i | ||||
\(483\) | −4298.20 | + | 16041.1i | −0.404917 | + | 1.51117i | ||||
\(484\) | 17751.4 | − | 21290.2i | 1.66711 | − | 1.99945i | ||||
\(485\) | 2915.69 | + | 1683.37i | 0.272979 | + | 0.157604i | ||||
\(486\) | 4369.23 | − | 2226.24i | 0.407803 | − | 0.207786i | ||||
\(487\) | −3386.26 | − | 2742.14i | −0.315084 | − | 0.255150i | 0.458712 | − | 0.888585i | \(-0.348311\pi\) |
−0.773796 | + | 0.633435i | \(0.781644\pi\) | |||||||
\(488\) | −46557.6 | − | 17871.8i | −4.31878 | − | 1.65782i | ||||
\(489\) | −6055.18 | + | 11884.0i | −0.559968 | + | 1.09900i | ||||
\(490\) | −2805.33 | + | 13198.1i | −0.258637 | + | 1.21679i | ||||
\(491\) | 65.0994 | − | 619.379i | 0.00598349 | − | 0.0569291i | −0.991123 | − | 0.132950i | \(-0.957555\pi\) |
0.997106 | + | 0.0760211i | \(0.0242216\pi\) | |||||||
\(492\) | −42577.0 | + | 16343.8i | −3.90146 | + | 1.49763i | ||||
\(493\) | −11384.5 | − | 3699.05i | −1.04002 | − | 0.337925i | ||||
\(494\) | −1459.47 | − | 13.6226i | −0.132924 | − | 0.00124071i | ||||
\(495\) | 529.099 | + | 160.858i | 0.0480429 | + | 0.0146061i | ||||
\(496\) | 12889.3 | + | 3453.67i | 1.16683 | + | 0.312650i | ||||
\(497\) | −3398.27 | − | 15987.6i | −0.306707 | − | 1.44294i | ||||
\(498\) | 9625.20 | − | 1011.65i | 0.866096 | − | 0.0910303i | ||||
\(499\) | −4973.88 | + | 787.786i | −0.446216 | + | 0.0706736i | −0.375499 | − | 0.926823i | \(-0.622529\pi\) |
−0.0707167 | + | 0.997496i | \(0.522529\pi\) | |||||||
\(500\) | 18490.7 | − | 12008.0i | 1.65386 | − | 1.07403i | ||||
\(501\) | −14530.8 | + | 9436.40i | −1.29578 | + | 0.841492i | ||||
\(502\) | −1124.07 | + | 178.034i | −0.0999392 | + | 0.0158288i | ||||
\(503\) | 15745.2 | − | 1654.89i | 1.39571 | − | 0.146695i | 0.623383 | − | 0.781917i | \(-0.285758\pi\) |
0.772330 | + | 0.635222i | \(0.219091\pi\) | |||||||
\(504\) | 1394.24 | + | 6559.40i | 0.123223 | + | 0.579720i | ||||
\(505\) | 5597.16 | + | 1499.75i | 0.493208 | + | 0.132155i | ||||
\(506\) | 11370.2 | − | 16292.5i | 0.998945 | − | 1.43140i | ||||
\(507\) | −5847.52 | − | 10579.5i | −0.512224 | − | 0.926728i | ||||
\(508\) | −3156.94 | − | 1025.75i | −0.275722 | − | 0.0895875i | ||||
\(509\) | −640.093 | + | 245.709i | −0.0557399 | + | 0.0213965i | −0.386078 | − | 0.922466i | \(-0.626171\pi\) |
0.330338 | + | 0.943863i | \(0.392837\pi\) | |||||||
\(510\) | 743.189 | − | 7070.97i | 0.0645274 | − | 0.613937i | ||||
\(511\) | 2333.96 | − | 10980.4i | 0.202051 | − | 0.950577i | ||||
\(512\) | 1038.35 | − | 2037.89i | 0.0896274 | − | 0.175904i | ||||
\(513\) | 706.861 | + | 271.339i | 0.0608356 | + | 0.0233526i | ||||
\(514\) | 31899.4 | + | 25831.6i | 2.73740 | + | 2.21670i | ||||
\(515\) | 4296.81 | − | 2189.33i | 0.367651 | − | 0.187327i | ||||
\(516\) | −24455.5 | − | 14119.4i | −2.08642 | − | 1.20460i | ||||
\(517\) | −8783.28 | + | 10136.0i | −0.747172 | + | 0.862242i | ||||
\(518\) | −8724.04 | + | 32558.5i | −0.739985 | + | 2.76166i | ||||
\(519\) | −831.859 | + | 2560.20i | −0.0703556 | + | 0.216532i | ||||
\(520\) | 12177.7 | − | 8675.12i | 1.02698 | − | 0.731594i | ||||
\(521\) | 13995.7 | + | 10168.5i | 1.17690 | + | 0.855068i | 0.991819 | − | 0.127656i | \(-0.0407452\pi\) |
0.185081 | + | 0.982723i | \(0.440745\pi\) | |||||||
\(522\) | −211.836 | − | 4042.07i | −0.0177621 | − | 0.338920i | ||||
\(523\) | −9218.53 | − | 8300.40i | −0.770742 | − | 0.693979i | 0.186760 | − | 0.982406i | \(-0.440201\pi\) |
−0.957502 | + | 0.288426i | \(0.906868\pi\) | |||||||
\(524\) | −37690.2 | + | 16780.8i | −3.14218 | + | 1.39899i | ||||
\(525\) | −16744.3 | − | 2652.04i | −1.39197 | − | 0.220466i | ||||
\(526\) | 28385.0 | + | 1487.59i | 2.35293 | + | 0.123312i | ||||
\(527\) | 883.462 | + | 3297.12i | 0.0730251 | + | 0.272533i | ||||
\(528\) | 5611.36 | − | 40384.9i | 0.462506 | − | 3.32865i | ||||
\(529\) | −939.530 | + | 1627.31i | −0.0772195 | + | 0.133748i | ||||
\(530\) | −5818.60 | + | 1236.78i | −0.476875 | + | 0.101363i | ||||
\(531\) | −432.499 | − | 1126.70i | −0.0353463 | − | 0.0920802i | ||||
\(532\) | −2112.70 | + | 2907.88i | −0.172175 | + | 0.236979i | ||||
\(533\) | −802.422 | − | 18638.1i | −0.0652096 | − | 1.51464i | ||||
\(534\) | −1438.12 | + | 467.274i | −0.116542 | + | 0.0378669i | ||||
\(535\) | 1682.54 | − | 1362.49i | 0.135967 | − | 0.110104i | ||||
\(536\) | −18191.3 | + | 40858.4i | −1.46594 | + | 3.29256i | ||||
\(537\) | 7164.39 | − | 6450.84i | 0.575729 | − | 0.518388i | ||||
\(538\) | 14047.5 | + | 14047.5i | 1.12570 | + | 1.12570i | ||||
\(539\) | −19018.0 | + | 5485.51i | −1.51978 | + | 0.438363i | ||||
\(540\) | −12165.1 | + | 3259.62i | −0.969447 | + | 0.259763i | ||||
\(541\) | −1395.24 | − | 2738.30i | −0.110880 | − | 0.217614i | 0.828898 | − | 0.559399i | \(-0.188968\pi\) |
−0.939778 | + | 0.341786i | \(0.888968\pi\) | |||||||
\(542\) | −1017.24 | − | 9678.42i | −0.0806168 | − | 0.767018i | ||||
\(543\) | −16537.2 | − | 1738.13i | −1.30696 | − | 0.137367i | ||||
\(544\) | −28001.8 | + | 1467.51i | −2.20692 | + | 0.115660i | ||||
\(545\) | −1867.60 | − | 5747.87i | −0.146787 | − | 0.451765i | ||||
\(546\) | −40936.0 | − | 4689.24i | −3.20860 | − | 0.367547i | ||||
\(547\) | −8720.02 | − | 12002.1i | −0.681611 | − | 0.938157i | 0.318341 | − | 0.947976i | \(-0.396874\pi\) |
−0.999952 | + | 0.00981969i | \(0.996874\pi\) | |||||||
\(548\) | 877.976 | − | 1351.96i | 0.0684403 | − | 0.105389i | ||||
\(549\) | 2052.29 | − | 1184.89i | 0.159544 | − | 0.0921126i | ||||
\(550\) | 17754.1 | + | 9805.03i | 1.37643 | + | 0.760160i | ||||
\(551\) | 944.783 | − | 944.783i | 0.0730474 | − | 0.0730474i | ||||
\(552\) | 2011.32 | − | 38378.3i | 0.155086 | − | 2.95922i | ||||
\(553\) | 2481.28 | − | 3064.13i | 0.190804 | − | 0.235624i | ||||
\(554\) | −3305.64 | − | 20871.0i | −0.253508 | − | 1.60059i | ||||
\(555\) | 5259.37 | + | 1117.91i | 0.402248 | + | 0.0855005i | ||||
\(556\) | −31779.5 | + | 35294.7i | −2.42401 | + | 2.69214i | ||||
\(557\) | 9122.77 | + | 11265.7i | 0.693975 | + | 0.856988i | 0.995331 | − | 0.0965238i | \(-0.0307724\pi\) |
−0.301355 | + | 0.953512i | \(0.597439\pi\) | |||||||
\(558\) | −933.771 | + | 678.424i | −0.0708417 | + | 0.0514695i | ||||
\(559\) | 8655.97 | − | 7648.80i | 0.654935 | − | 0.578729i | ||||
\(560\) | − | 27999.1i | − | 2.11282i | ||||||
\(561\) | 9664.26 | − | 3922.20i | 0.727318 | − | 0.295179i | ||||
\(562\) | 8627.57 | + | 14943.4i | 0.647566 | + | 1.12162i | ||||
\(563\) | −9386.95 | − | 10425.3i | −0.702687 | − | 0.780413i | 0.281114 | − | 0.959674i | \(-0.409296\pi\) |
−0.983802 | + | 0.179261i | \(0.942629\pi\) | |||||||
\(564\) | −6589.82 | + | 41606.5i | −0.491989 | + | 3.10629i | ||||
\(565\) | 2537.44 | − | 6610.25i | 0.188940 | − | 0.492204i | ||||
\(566\) | 13037.2 | + | 20075.6i | 0.968192 | + | 1.49088i | ||||
\(567\) | 21387.8 | + | 10897.7i | 1.58414 | + | 0.807158i | ||||
\(568\) | 15384.5 | + | 34554.1i | 1.13648 | + | 2.55257i | ||||
\(569\) | −9612.26 | − | 4279.65i | −0.708202 | − | 0.315312i | 0.0208381 | − | 0.999783i | \(-0.493367\pi\) |
−0.729040 | + | 0.684471i | \(0.760033\pi\) | |||||||
\(570\) | 665.573 | + | 432.228i | 0.0489084 | + | 0.0317615i | ||||
\(571\) | 10506.8 | 0.770043 | 0.385021 | − | 0.922908i | \(-0.374194\pi\) | ||||
0.385021 | + | 0.922908i | \(0.374194\pi\) | |||||||
\(572\) | 31887.0 | + | 15860.2i | 2.33088 | + | 1.15935i | ||||
\(573\) | −14245.2 | −1.03857 | ||||||||
\(574\) | −53330.7 | − | 34633.4i | −3.87802 | − | 2.51841i | ||||
\(575\) | 9594.36 | + | 4271.69i | 0.695848 | + | 0.309811i | ||||
\(576\) | −1693.59 | − | 3803.86i | −0.122511 | − | 0.275164i | ||||
\(577\) | −12841.8 | − | 6543.21i | −0.926533 | − | 0.472092i | −0.0754656 | − | 0.997148i | \(-0.524044\pi\) |
−0.851068 | + | 0.525056i | \(0.824044\pi\) | |||||||
\(578\) | 6471.79 | + | 9965.68i | 0.465728 | + | 0.717159i | ||||
\(579\) | 5015.91 | − | 13066.9i | 0.360024 | − | 0.937896i | ||||
\(580\) | −3476.71 | + | 21951.1i | −0.248901 | + | 1.57150i | ||||
\(581\) | 6523.68 | + | 7245.28i | 0.465831 | + | 0.517358i | ||||
\(582\) | 10735.3 | + | 18594.1i | 0.764594 | + | 1.32432i | ||||
\(583\) | −5619.56 | − | 6675.91i | −0.399208 | − | 0.474250i | ||||
\(584\) | 25977.9i | 1.84071i | ||||||||
\(585\) | −43.8050 | + | 709.141i | −0.00309592 | + | 0.0501186i | ||||
\(586\) | −17153.4 | + | 12462.7i | −1.20921 | + | 0.878545i | ||||
\(587\) | −1280.73 | − | 1581.57i | −0.0900537 | − | 0.111207i | 0.730127 | − | 0.683311i | \(-0.239461\pi\) |
−0.820181 | + | 0.572104i | \(0.806127\pi\) | |||||||
\(588\) | −41598.2 | + | 46199.5i | −2.91749 | + | 3.24020i | ||||
\(589\) | −372.680 | − | 79.2155i | −0.0260713 | − | 0.00554162i | ||||
\(590\) | 1434.84 | + | 9059.21i | 0.100121 | + | 0.632138i | ||||
\(591\) | −8659.52 | + | 10693.6i | −0.602715 | + | 0.744292i | ||||
\(592\) | 2242.76 | − | 42794.4i | 0.155704 | − | 2.97101i | ||||
\(593\) | 14798.2 | − | 14798.2i | 1.02477 | − | 1.02477i | 0.0250852 | − | 0.999685i | \(-0.492014\pi\) |
0.999685 | − | 0.0250852i | \(-0.00798571\pi\) | |||||||
\(594\) | −17469.1 | − | 18674.7i | −1.20668 | − | 1.28995i | ||||
\(595\) | 6202.71 | − | 3581.14i | 0.427372 | − | 0.246743i | ||||
\(596\) | 27474.3 | − | 42306.8i | 1.88824 | − | 2.90764i | ||||
\(597\) | 9440.99 | + | 12994.4i | 0.647226 | + | 0.890830i | ||||
\(598\) | 23743.6 | + | 9369.52i | 1.62366 | + | 0.640716i | ||||
\(599\) | 5176.71 | + | 15932.3i | 0.353113 | + | 1.08677i | 0.957095 | + | 0.289773i | \(0.0935797\pi\) |
−0.603982 | + | 0.796998i | \(0.706420\pi\) | |||||||
\(600\) | 39178.1 | − | 2053.24i | 2.66573 | − | 0.139705i | ||||
\(601\) | 5534.11 | + | 581.658i | 0.375609 | + | 0.0394781i | 0.290452 | − | 0.956889i | \(-0.406194\pi\) |
0.0851567 | + | 0.996368i | \(0.472861\pi\) | |||||||
\(602\) | −4115.70 | − | 39158.3i | −0.278644 | − | 2.65112i | ||||
\(603\) | −964.864 | − | 1893.65i | −0.0651614 | − | 0.127886i | ||||
\(604\) | −69645.4 | + | 18661.4i | −4.69178 | + | 1.25716i | ||||
\(605\) | 88.3277 | − | 6164.75i | 0.00593559 | − | 0.414269i | ||||
\(606\) | 26130.3 | + | 26130.3i | 1.75160 | + | 1.75160i | ||||
\(607\) | −12912.8 | + | 11626.8i | −0.863452 | + | 0.777456i | −0.976360 | − | 0.216149i | \(-0.930650\pi\) |
0.112908 | + | 0.993605i | \(0.463984\pi\) | |||||||
\(608\) | 1273.02 | − | 2859.24i | 0.0849138 | − | 0.190720i | ||||
\(609\) | 29313.8 | − | 23737.8i | 1.95050 | − | 1.57948i | ||||
\(610\) | −17128.8 | + | 5565.49i | −1.13693 | + | 0.369410i | ||||
\(611\) | −15279.6 | − | 7965.87i | −1.01170 | − | 0.527438i | ||||
\(612\) | 2081.41 | − | 2864.82i | 0.137477 | − | 0.189221i | ||||
\(613\) | 6962.15 | + | 18137.0i | 0.458725 | + | 1.19502i | 0.946687 | + | 0.322155i | \(0.104407\pi\) |
−0.487961 | + | 0.872865i | \(0.662259\pi\) | |||||||
\(614\) | 45180.9 | − | 9603.49i | 2.96963 | − | 0.631214i | ||||
\(615\) | −5071.82 | + | 8784.66i | −0.332546 | + | 0.575986i | ||||
\(616\) | 65956.8 | − | 35202.2i | 4.31408 | − | 2.30250i | ||||
\(617\) | 152.927 | + | 570.733i | 0.00997832 | + | 0.0372396i | 0.970736 | − | 0.240151i | \(-0.0771970\pi\) |
−0.960757 | + | 0.277391i | \(0.910530\pi\) | |||||||
\(618\) | 30711.8 | + | 1609.54i | 1.99904 | + | 0.104765i | ||||
\(619\) | −27829.3 | − | 4407.73i | −1.80703 | − | 0.286206i | −0.840325 | − | 0.542083i | \(-0.817636\pi\) |
−0.966709 | + | 0.255877i | \(0.917636\pi\) | |||||||
\(620\) | 5789.62 | − | 2577.70i | 0.375027 | − | 0.166973i | ||||
\(621\) | −9840.46 | − | 8860.39i | −0.635884 | − | 0.572552i | ||||
\(622\) | −744.033 | − | 14197.0i | −0.0479630 | − | 0.915189i | ||||
\(623\) | −1232.35 | − | 895.353i | −0.0792503 | − | 0.0575787i | ||||
\(624\) | 52145.7 | − | 4989.11i | 3.34535 | − | 0.320071i | ||||
\(625\) | −2484.22 | + | 7645.64i | −0.158990 | + | 0.489321i | ||||
\(626\) | −1522.88 | + | 5683.48i | −0.0972311 | + | 0.362872i | ||||
\(627\) | −99.6512 | + | 1159.90i | −0.00634719 | + | 0.0738786i | ||||
\(628\) | −26121.7 | − | 15081.4i | −1.65982 | − | 0.958299i | ||||
\(629\) | 9767.20 | − | 4976.64i | 0.619147 | − | 0.315471i | ||||
\(630\) | 1882.11 | + | 1524.10i | 0.119024 | + | 0.0963836i | ||||
\(631\) | −933.894 | − | 358.488i | −0.0589188 | − | 0.0226168i | 0.328730 | − | 0.944424i | \(-0.393379\pi\) |
−0.387649 | + | 0.921807i | \(0.626713\pi\) | |||||||
\(632\) | −4142.30 | + | 8129.72i | −0.260715 | + | 0.511682i | ||||
\(633\) | −796.787 | + | 3748.59i | −0.0500307 | + | 0.235376i | ||||
\(634\) | 5306.83 | − | 50491.1i | 0.332431 | − | 3.16287i | ||||
\(635\) | −689.260 | + | 264.582i | −0.0430747 | + | 0.0165348i | ||||
\(636\) | −26066.3 | − | 8469.44i | −1.62515 | − | 0.528043i | ||||
\(637\) | −12508.8 | − | 22140.7i | −0.778051 | − | 1.37715i | ||||
\(638\) | −42644.3 | + | 14758.2i | −2.64625 | + | 0.915805i | ||||
\(639\) | −1736.13 | − | 465.195i | −0.107481 | − | 0.0287994i | ||||
\(640\) | 2421.59 | + | 11392.7i | 0.149565 | + | 0.703648i | ||||
\(641\) | 11178.0 | − | 1174.85i | 0.688773 | − | 0.0723930i | 0.246325 | − | 0.969187i | \(-0.420777\pi\) |
0.442448 | + | 0.896794i | \(0.354110\pi\) | |||||||
\(642\) | 13636.9 | − | 2159.88i | 0.838329 | − | 0.132778i | ||||
\(643\) | 15321.3 | − | 9949.75i | 0.939677 | − | 0.610233i | 0.0186892 | − | 0.999825i | \(-0.494051\pi\) |
0.920987 | + | 0.389592i | \(0.127384\pi\) | |||||||
\(644\) | 52719.4 | − | 34236.4i | 3.22583 | − | 2.09488i | ||||
\(645\) | −6203.50 | + | 982.538i | −0.378702 | + | 0.0599805i | ||||
\(646\) | 1609.08 | − | 169.122i | 0.0980009 | − | 0.0103003i | ||||
\(647\) | −1638.39 | − | 7708.00i | −0.0995542 | − | 0.468366i | −0.999478 | − | 0.0323178i | \(-0.989711\pi\) |
0.899923 | − | 0.436048i | \(-0.143622\pi\) | |||||||
\(648\) | −53656.3 | − | 14377.2i | −3.25280 | − | 0.871586i | ||||
\(649\) | −10733.0 | + | 8114.20i | −0.649161 | + | 0.490770i | ||||
\(650\) | −6978.78 | + | 25105.5i | −0.421123 | + | 1.51495i | ||||
\(651\) | −10229.6 | − | 3323.80i | −0.615868 | − | 0.200108i | ||||
\(652\) | 47132.4 | − | 18092.4i | 2.83106 | − | 1.08674i | ||||
\(653\) | 1088.82 | − | 10359.4i | 0.0652506 | − | 0.620818i | −0.912213 | − | 0.409716i | \(-0.865628\pi\) |
0.977464 | − | 0.211103i | \(-0.0677054\pi\) | |||||||
\(654\) | 8013.37 | − | 37699.9i | 0.479125 | − | 2.25410i | ||||
\(655\) | −4165.97 | + | 8176.17i | −0.248516 | + | 0.487740i | ||||
\(656\) | 75474.3 | + | 28971.9i | 4.49204 | + | 1.72433i | ||||
\(657\) | −959.347 | − | 776.864i | −0.0569676 | − | 0.0461314i | ||||
\(658\) | −52334.2 | + | 26665.6i | −3.10060 | + | 1.57984i | ||||
\(659\) | 9236.44 | + | 5332.66i | 0.545980 | + | 0.315222i | 0.747499 | − | 0.664263i | \(-0.231254\pi\) |
−0.201519 | + | 0.979485i | \(0.564588\pi\) | |||||||
\(660\) | −9999.37 | − | 16583.0i | −0.589735 | − | 0.978017i | ||||
\(661\) | 8137.67 | − | 30370.2i | 0.478848 | − | 1.78709i | −0.127445 | − | 0.991846i | \(-0.540678\pi\) |
0.606293 | − | 0.795241i | \(-0.292656\pi\) | |||||||
\(662\) | 3752.10 | − | 11547.8i | 0.220286 | − | 0.677971i | ||||
\(663\) | 7774.78 | + | 10913.8i | 0.455426 | + | 0.639304i | ||||
\(664\) | −18252.8 | − | 13261.4i | −1.06679 | − | 0.775066i | ||||
\(665\) | 41.8399 | + | 798.353i | 0.00243982 | + | 0.0465546i | ||||
\(666\) | 2754.57 | + | 2480.23i | 0.160266 | + | 0.144304i | ||||
\(667\) | −21347.0 | + | 9504.29i | −1.23922 | + | 0.551736i | ||||
\(668\) | 64774.7 | + | 10259.3i | 3.75181 | + | 0.594228i | ||||
\(669\) | 10999.8 | + | 576.475i | 0.635690 | + | 0.0333151i | ||||
\(670\) | 4180.51 | + | 15601.9i | 0.241056 | + | 0.899632i | ||||
\(671\) | −19033.7 | − | 18323.2i | −1.09506 | − | 1.05419i | ||||
\(672\) | 44178.6 | − | 76519.6i | 2.53605 | − | 4.39257i | ||||
\(673\) | −15235.4 | + | 3238.39i | −0.872633 | + | 0.185484i | −0.622398 | − | 0.782701i | \(-0.713841\pi\) |
−0.250235 | + | 0.968185i | \(0.580508\pi\) | |||||||
\(674\) | −12413.6 | − | 32338.5i | −0.709427 | − | 1.84812i | ||||
\(675\) | 7945.44 | − | 10936.0i | 0.453067 | − | 0.623593i | ||||
\(676\) | −10346.8 | + | 44570.0i | −0.588690 | + | 2.53585i | ||||
\(677\) | 13449.3 | − | 4369.95i | 0.763515 | − | 0.248081i | 0.0987284 | − | 0.995114i | \(-0.468523\pi\) |
0.664787 | + | 0.747033i | \(0.268523\pi\) | |||||||
\(678\) | 35091.7 | − | 28416.7i | 1.98774 | − | 1.60964i | ||||
\(679\) | −8797.21 | + | 19758.9i | −0.497211 | + | 1.11675i | ||||
\(680\) | −12317.3 | + | 11090.5i | −0.694627 | + | 0.625445i | ||||
\(681\) | −1209.48 | − | 1209.48i | −0.0680581 | − | 0.0680581i | ||||
\(682\) | 10152.5 | + | 7906.44i | 0.570026 | + | 0.443920i | ||||
\(683\) | −6966.25 | + | 1866.60i | −0.390273 | + | 0.104573i | −0.448619 | − | 0.893723i | \(-0.648084\pi\) |
0.0583461 | + | 0.998296i | \(0.481417\pi\) | |||||||
\(684\) | 179.442 | + | 352.176i | 0.0100309 | + | 0.0196868i | ||||
\(685\) | −37.4782 | − | 356.582i | −0.00209047 | − | 0.0198895i | ||||
\(686\) | −31705.6 | − | 3332.39i | −1.76461 | − | 0.185468i | ||||
\(687\) | −10323.3 | + | 541.023i | −0.573304 | + | 0.0300456i | ||||
\(688\) | 15468.7 | + | 47607.7i | 0.857176 | + | 2.63812i | ||||
\(689\) | 6674.16 | − | 9008.17i | 0.369035 | − | 0.498090i | ||||
\(690\) | −8157.97 | − | 11228.5i | −0.450100 | − | 0.619509i | ||||
\(691\) | −12644.7 | + | 19471.2i | −0.696134 | + | 1.07195i | 0.296989 | + | 0.954881i | \(0.404017\pi\) |
−0.993123 | + | 0.117072i | \(0.962649\pi\) | |||||||
\(692\) | 8824.42 | − | 5094.78i | 0.484760 | − | 0.279876i | ||||
\(693\) | −672.429 | + | 3488.45i | −0.0368593 | + | 0.191220i | ||||
\(694\) | −45876.6 | + | 45876.6i | −2.50930 | + | 2.50930i | ||||
\(695\) | −552.850 | + | 10549.0i | −0.0301738 | + | 0.575751i | ||||
\(696\) | −54932.8 | + | 67836.3i | −2.99170 | + | 3.69444i | ||||
\(697\) | 3235.09 | + | 20425.6i | 0.175808 | + | 1.11000i | ||||
\(698\) | −45192.4 | − | 9605.94i | −2.45066 | − | 0.520903i | ||||
\(699\) | 2996.42 | − | 3327.86i | 0.162139 | − | 0.180073i | ||||
\(700\) | 40383.9 | + | 49869.9i | 2.18052 | + | 2.69272i | ||||
\(701\) | −22764.2 | + | 16539.2i | −1.22652 | + | 0.891122i | −0.996625 | − | 0.0820927i | \(-0.973840\pi\) |
−0.229899 | + | 0.973214i | \(0.573840\pi\) | |||||||
\(702\) | 18149.9 | − | 27385.4i | 0.975817 | − | 1.47236i | ||||
\(703\) | 1223.57i | 0.0656441i | ||||||||
\(704\) | −35514.4 | + | 29894.9i | −1.90128 | + | 1.60043i | ||||
\(705\) | 4684.70 | + | 8114.15i | 0.250264 | + | 0.433470i | ||||
\(706\) | 9395.48 | + | 10434.7i | 0.500855 | + | 0.556256i | ||||
\(707\) | −5823.41 | + | 36767.6i | −0.309776 | + | 1.95585i | ||||
\(708\) | −15144.6 | + | 39453.0i | −0.803910 | + | 2.09426i | ||||
\(709\) | 3148.56 | + | 4848.36i | 0.166779 | + | 0.256818i | 0.912172 | − | 0.409808i | \(-0.134404\pi\) |
−0.745392 | + | 0.666626i | \(0.767738\pi\) | |||||||
\(710\) | 12171.2 | + | 6201.53i | 0.643348 | + | 0.327802i | ||||
\(711\) | −176.350 | − | 396.090i | −0.00930191 | − | 0.0208924i | ||||
\(712\) | 3220.30 | + | 1433.77i | 0.169503 | + | 0.0754674i | ||||
\(713\) | 5588.33 | + | 3629.10i | 0.293527 | + | 0.190618i | ||||
\(714\) | 45675.8 | 2.39408 | ||||||||
\(715\) | 7731.71 | − | 1721.84i | 0.404405 | − | 0.0900602i | ||||
\(716\) | −36491.7 | −1.90469 | ||||||||
\(717\) | 15558.2 | + | 10103.6i | 0.810364 | + | 0.526257i | ||||
\(718\) | 7897.72 | + | 3516.29i | 0.410502 | + | 0.182767i | ||||
\(719\) | −3159.17 | − | 7095.61i | −0.163863 | − | 0.368041i | 0.812888 | − | 0.582420i | \(-0.197894\pi\) |
−0.976751 | + | 0.214379i | \(0.931227\pi\) | |||||||
\(720\) | −2743.37 | − | 1397.82i | −0.141999 | − | 0.0723521i | ||||
\(721\) | 16873.1 | + | 25982.3i | 0.871550 | + | 1.34207i | ||||
\(722\) | 13132.5 | − | 34211.5i | 0.676929 | − | 1.76346i | ||||
\(723\) | 2253.65 | − | 14229.0i | 0.115926 | − | 0.731926i | ||||
\(724\) | 42115.9 | + | 46774.4i | 2.16191 | + | 2.40105i | ||||
\(725\) | −11927.1 | − | 20658.3i | −0.610980 | − | 1.05825i | ||||
\(726\) | 20145.0 | − | 33765.6i | 1.02982 | − | 1.72611i | ||||
\(727\) | − | 23064.9i | − | 1.17666i | −0.808622 | − | 0.588329i | \(-0.799786\pi\) | ||
0.808622 | − | 0.588329i | \(-0.200214\pi\) | |||||||
\(728\) | 63603.2 | + | 71978.3i | 3.23804 | + | 3.66441i | ||||
\(729\) | −13554.5 | + | 9847.89i | −0.688638 | + | 0.500325i | ||||
\(730\) | 5904.17 | + | 7291.04i | 0.299347 | + | 0.369662i | ||||
\(731\) | −8568.17 | + | 9515.91i | −0.433523 | + | 0.481476i | ||||
\(732\) | −81167.8 | − | 17252.8i | −4.09843 | − | 0.871148i | ||||
\(733\) | −985.775 | − | 6223.94i | −0.0496732 | − | 0.313624i | −0.999997 | − | 0.00236182i | \(-0.999248\pi\) |
0.950324 | − | 0.311262i | \(-0.100752\pi\) | |||||||
\(734\) | 3788.15 | − | 4677.98i | 0.190495 | − | 0.235242i | ||||
\(735\) | −723.661 | + | 13808.3i | −0.0363165 | + | 0.692960i | ||||
\(736\) | −38704.8 | + | 38704.8i | −1.93842 | + | 1.93842i | ||||
\(737\) | −17303.7 | + | 16186.6i | −0.864845 | + | 0.809012i | ||||
\(738\) | −6055.86 | + | 3496.35i | −0.302059 | + | 0.174394i | ||||
\(739\) | 1985.87 | − | 3057.98i | 0.0988519 | − | 0.152219i | −0.785784 | − | 0.618501i | \(-0.787740\pi\) |
0.884636 | + | 0.466282i | \(0.154407\pi\) | |||||||
\(740\) | −11962.9 | − | 16465.5i | −0.594276 | − | 0.817951i | ||||
\(741\) | −1479.40 | + | 220.180i | −0.0733430 | + | 0.0109157i | ||||
\(742\) | −11809.1 | − | 36344.8i | −0.584268 | − | 1.79819i | ||||
\(743\) | −30933.8 | + | 1621.17i | −1.52739 | + | 0.0800470i | −0.797416 | − | 0.603430i | \(-0.793800\pi\) |
−0.729972 | + | 0.683477i | \(0.760467\pi\) | |||||||
\(744\) | 24754.7 | + | 2601.82i | 1.21983 | + | 0.128209i | ||||
\(745\) | −1172.80 | − | 11158.4i | −0.0576752 | − | 0.548743i | ||||
\(746\) | −30511.6 | − | 59882.4i | −1.49746 | − | 2.93894i | ||||
\(747\) | 1035.58 | − | 277.483i | 0.0507228 | − | 0.0135911i | ||||
\(748\) | −37119.1 | − | 13444.6i | −1.81445 | − | 0.657196i | ||||
\(749\) | 9834.86 | + | 9834.86i | 0.479784 | + | 0.479784i | ||||
\(750\) | 23240.3 | − | 20925.6i | 1.13149 | − | 1.01880i | ||||
\(751\) | 12999.0 | − | 29196.3i | 0.631612 | − | 1.41862i | −0.259903 | − | 0.965635i | \(-0.583691\pi\) |
0.891516 | − | 0.452990i | \(-0.149643\pi\) | |||||||
\(752\) | 58032.1 | − | 46993.5i | 2.81411 | − | 2.27882i | ||||
\(753\) | −1109.19 | + | 360.399i | −0.0536803 | + | 0.0174418i | ||||
\(754\) | −31121.0 | − | 48915.7i | −1.50313 | − | 2.36261i | ||||
\(755\) | −9426.24 | + | 12974.1i | −0.454379 | + | 0.625399i | ||||
\(756\) | −28994.9 | − | 75534.2i | −1.39489 | − | 3.63380i | ||||
\(757\) | −33409.2 | + | 7101.35i | −1.60407 | + | 0.340955i | −0.921049 | − | 0.389447i | \(-0.872666\pi\) |
−0.683018 | + | 0.730402i | \(0.739333\pi\) | |||||||
\(758\) | −8589.55 | + | 14877.5i | −0.411592 | + | 0.712898i | ||||
\(759\) | 8896.59 | − | 18313.3i | 0.425462 | − | 0.875799i | ||||
\(760\) | −478.825 | − | 1787.00i | −0.0228537 | − | 0.0852912i | ||||
\(761\) | 18323.9 | + | 960.314i | 0.872852 | + | 0.0457442i | 0.483499 | − | 0.875345i | \(-0.339366\pi\) |
0.389352 | + | 0.921089i | \(0.372699\pi\) | |||||||
\(762\) | −4650.36 | − | 736.545i | −0.221082 | − | 0.0350160i | ||||
\(763\) | 35469.3 | − | 15791.9i | 1.68293 | − | 0.749288i | ||||
\(764\) | 40070.9 | + | 36080.0i | 1.89753 | + | 1.70854i | ||||
\(765\) | −41.2202 | − | 786.528i | −0.00194813 | − | 0.0371725i | ||||
\(766\) | 10525.5 | + | 7647.23i | 0.496478 | + | 0.360713i | ||||
\(767\) | −13332.1 | − | 11003.7i | −0.627631 | − | 0.518019i | ||||
\(768\) | −5645.73 | + | 17375.8i | −0.265264 | + | 0.816399i | ||||
\(769\) | 463.625 | − | 1730.27i | 0.0217409 | − | 0.0811381i | −0.954203 | − | 0.299160i | \(-0.903294\pi\) |
0.975944 | + | 0.218022i | \(0.0699603\pi\) | |||||||
\(770\) | 10511.0 | − | 24870.4i | 0.491935 | − | 1.16398i | ||||
\(771\) | 36428.4 | + | 21031.9i | 1.70160 | + | 0.982421i | ||||
\(772\) | −47205.2 | + | 24052.2i | −2.20071 | + | 1.12132i | ||||
\(773\) | 284.404 | + | 230.306i | 0.0132332 | + | 0.0107161i | 0.635914 | − | 0.771760i | \(-0.280623\pi\) |
−0.622681 | + | 0.782476i | \(0.713957\pi\) | |||||||
\(774\) | −4042.22 | − | 1551.66i | −0.187719 | − | 0.0720586i | ||||
\(775\) | −3088.12 | + | 6060.78i | −0.143134 | + | 0.280916i | ||||
\(776\) | 10406.4 | − | 48958.3i | 0.481403 | − | 2.26482i | ||||
\(777\) | −3610.65 | + | 34353.0i | −0.166707 | + | 1.58611i | ||||
\(778\) | −25710.9 | + | 9869.48i | −1.18481 | + | 0.454805i | ||||
\(779\) | −2195.33 | − | 713.306i | −0.100970 | − | 0.0328072i | ||||
\(780\) | 17755.5 | − | 17427.1i | 0.815062 | − | 0.799987i | ||||
\(781\) | 381.039 | + | 20034.9i | 0.0174579 | + | 0.917931i | ||||
\(782\) | −27331.8 | − | 7323.52i | −1.24985 | − | 0.334896i | ||||
\(783\) | 6253.15 | + | 29418.8i | 0.285401 | + | 1.34271i | ||||
\(784\) | 109598. | − | 11519.2i | 4.99262 | − | 0.524746i | ||||
\(785\) | −6626.15 | + | 1049.48i | −0.301271 | + | 0.0477166i | ||||
\(786\) | −49079.0 | + | 31872.3i | −2.22721 | + | 1.44637i | ||||
\(787\) | 28543.5 | − | 18536.4i | 1.29284 | − | 0.839581i | 0.299423 | − | 0.954120i | \(-0.403206\pi\) |
0.993419 | + | 0.114539i | \(0.0365392\pi\) | |||||||
\(788\) | 51443.4 | − | 8147.83i | 2.32563 | − | 0.368343i | ||||
\(789\) | 28968.6 | − | 3044.72i | 1.30711 | − | 0.137383i | ||||
\(790\) | 685.103 | + | 3223.16i | 0.0308543 | + | 0.145158i | ||||
\(791\) | 43937.1 | + | 11772.9i | 1.97500 | + | 0.529199i | ||||
\(792\) | −156.333 | − | 8219.91i | −0.00701394 | − | 0.368790i | ||||
\(793\) | 17245.5 | − | 29236.5i | 0.772265 | − | 1.30923i | ||||
\(794\) | 24693.6 | + | 8023.43i | 1.10371 | + | 0.358616i | ||||
\(795\) | −5691.09 | + | 2184.60i | −0.253889 | + | 0.0974590i | ||||
\(796\) | 6355.08 | − | 60464.6i | 0.282977 | − | 2.69235i | ||||
\(797\) | −7974.92 | + | 37519.0i | −0.354437 | + | 1.66749i | 0.334288 | + | 0.942471i | \(0.391504\pi\) |
−0.688725 | + | 0.725023i | \(0.741829\pi\) | |||||||
\(798\) | −2314.58 | + | 4542.62i | −0.102676 | + | 0.201513i | ||||
\(799\) | 17833.0 | + | 6845.44i | 0.789594 | + | 0.303097i | ||||
\(800\) | −43425.0 | − | 35164.9i | −1.91913 | − | 1.55408i | ||||
\(801\) | −149.250 | + | 76.0469i | −0.00658365 | + | 0.00335454i | ||||
\(802\) | 56071.0 | + | 32372.6i | 2.46875 | + | 1.42533i | ||||
\(803\) | −5357.66 | + | 12676.9i | −0.235452 | + | 0.557109i | ||||
\(804\) | −19261.4 | + | 71884.5i | −0.844897 | + | 3.15320i | ||||
\(805\) | 4320.48 | − | 13297.1i | 0.189164 | − | 0.582187i | ||||
\(806\) | −6865.00 | + | 15039.7i | −0.300011 | + | 0.657257i | ||||
\(807\) | 16470.2 | + | 11966.3i | 0.718438 | + | 0.521976i | ||||
\(808\) | −4508.54 | − | 86028.0i | −0.196299 | − | 3.74561i | ||||
\(809\) | −1289.87 | − | 1161.41i | −0.0560563 | − | 0.0504733i | 0.640626 | − | 0.767853i | \(-0.278675\pi\) |
−0.696683 | + | 0.717379i | \(0.745341\pi\) | |||||||
\(810\) | −18326.9 | + | 8159.66i | −0.794990 | + | 0.353952i | ||||
\(811\) | 6699.73 | + | 1061.13i | 0.290086 | + | 0.0459451i | 0.299781 | − | 0.954008i | \(-0.403086\pi\) |
−0.00969566 | + | 0.999953i | \(0.503086\pi\) | |||||||
\(812\) | −142581. | − | 7472.35i | −6.16208 | − | 0.322941i | ||||
\(813\) | −2581.16 | − | 9633.03i | −0.111347 | − | 0.415554i | ||||
\(814\) | 18057.4 | − | 37170.4i | 0.777531 | − | 1.60052i | ||||
\(815\) | 5614.47 | − | 9724.55i | 0.241308 | − | 0.417959i | ||||
\(816\) | −56800.4 | + | 12073.3i | −2.43678 | + | 0.517954i | ||||
\(817\) | −512.207 | − | 1334.35i | −0.0219337 | − | 0.0571393i | ||||
\(818\) | −22028.5 | + | 30319.6i | −0.941575 | + | 1.29597i | ||||
\(819\) | −4560.15 | + | 196.327i | −0.194560 | + | 0.00837633i | ||||
\(820\) | 36516.4 | − | 11864.9i | 1.55513 | − | 0.505293i | ||||
\(821\) | −22154.8 | + | 17940.6i | −0.941788 | + | 0.762645i | −0.971531 | − | 0.236913i | \(-0.923864\pi\) |
0.0297431 | + | 0.999558i | \(0.490531\pi\) | |||||||
\(822\) | 930.022 | − | 2088.86i | 0.0394626 | − | 0.0886344i | ||||
\(823\) | 20704.6 | − | 18642.5i | 0.876935 | − | 0.789596i | −0.101783 | − | 0.994807i | \(-0.532455\pi\) |
0.978718 | + | 0.205211i | \(0.0657881\pi\) | |||||||
\(824\) | −50694.7 | − | 50694.7i | −2.14324 | − | 2.14324i | ||||
\(825\) | 19541.9 | + | 7078.09i | 0.824680 | + | 0.298700i | ||||
\(826\) | −56916.1 | + | 15250.6i | −2.39754 | + | 0.642418i | ||||
\(827\) | 18104.2 | + | 35531.5i | 0.761238 | + | 1.49401i | 0.866287 | + | 0.499547i | \(0.166500\pi\) |
−0.105049 | + | 0.994467i | \(0.533500\pi\) | |||||||
\(828\) | −722.557 | − | 6874.67i | −0.0303268 | − | 0.288540i | ||||
\(829\) | −3558.19 | − | 373.981i | −0.149073 | − | 0.0156682i | 0.0296982 | − | 0.999559i | \(-0.490545\pi\) |
−0.178771 | + | 0.983891i | \(0.557212\pi\) | |||||||
\(830\) | −8136.90 | + | 426.437i | −0.340284 | + | 0.0178335i | ||||
\(831\) | −6691.68 | − | 20594.9i | −0.279340 | − | 0.859721i | ||||
\(832\) | −47921.5 | − | 35505.1i | −1.99685 | − | 1.47947i | ||||
\(833\) | 16569.7 | + | 22806.2i | 0.689201 | + | 0.948604i | ||||
\(834\) | −36690.3 | + | 56498.1i | −1.52336 | + | 2.34577i | ||||
\(835\) | 12632.4 | − | 7293.34i | 0.523549 | − | 0.302271i | ||||
\(836\) | 3218.09 | − | 3010.34i | 0.133134 | − | 0.124539i | ||||
\(837\) | 6064.41 | − | 6064.41i | 0.250438 | − | 0.250438i | ||||
\(838\) | −194.319 | + | 3707.82i | −0.00801030 | + | 0.152846i | ||||
\(839\) | 13548.8 | − | 16731.4i | 0.557517 | − | 0.688476i | −0.417988 | − | 0.908452i | \(-0.637265\pi\) |
0.975505 | + | 0.219977i | \(0.0705981\pi\) | |||||||
\(840\) | −8170.25 | − | 51584.9i | −0.335596 | − | 2.11887i | ||||
\(841\) | 28058.5 | + | 5964.02i | 1.15046 | + | 0.244537i | ||||
\(842\) | −20382.6 | + | 22637.2i | −0.834242 | + | 0.926519i | ||||
\(843\) | 11128.1 | + | 13742.0i | 0.454651 | + | 0.561447i | ||||
\(844\) | 11735.7 | − | 8526.48i | 0.478625 | − | 0.347741i | ||||
\(845\) | 4450.12 | + | 9152.28i | 0.181170 | + | 0.372601i | ||||
\(846\) | 6458.97i | 0.262487i | ||||||||
\(847\) | 39446.2 | − | 3575.40i | 1.60022 | − | 0.145044i | ||||
\(848\) | 24292.2 | + | 42075.3i | 0.983724 | + | 1.70386i | ||||
\(849\) | 16414.1 | + | 18229.7i | 0.663523 | + | 0.736916i | ||||
\(850\) | 4518.70 | − | 28530.0i | 0.182341 | − | 1.15126i | ||||
\(851\) | 7668.62 | − | 19977.4i | 0.308903 | − | 0.804721i | ||||
\(852\) | 34278.3 | + | 52783.9i | 1.37835 | + | 2.12247i | ||||
\(853\) | −377.148 | − | 192.166i | −0.0151387 | − | 0.00771354i | 0.446405 | − | 0.894831i | \(-0.352704\pi\) |
−0.461543 | + | 0.887118i | \(0.652704\pi\) | |||||||
\(854\) | −47060.4 | − | 105699.i | −1.88568 | − | 4.23532i | ||||
\(855\) | 80.3118 | + | 35.7571i | 0.00321241 | + | 0.00143026i | ||||
\(856\) | −26993.9 | − | 17530.0i | −1.07784 | − | 0.699958i | ||||
\(857\) | −25998.4 | −1.03627 | −0.518137 | − | 0.855298i | \(-0.673374\pi\) | ||||
−0.518137 | + | 0.855298i | \(0.673374\pi\) | |||||||
\(858\) | 48191.6 | + | 15144.1i | 1.91752 | + | 0.602578i | ||||
\(859\) | 12705.7 | 0.504673 | 0.252336 | − | 0.967640i | \(-0.418801\pi\) | ||||
0.252336 | + | 0.967640i | \(0.418801\pi\) | |||||||
\(860\) | 19938.7 | + | 12948.3i | 0.790585 | + | 0.513412i | ||||
\(861\) | −59531.3 | − | 26505.1i | −2.35636 | − | 1.04912i | ||||
\(862\) | 5455.28 | + | 12252.7i | 0.215554 | + | 0.484142i | ||||
\(863\) | −58.8615 | − | 29.9915i | −0.00232175 | − | 0.00118299i | 0.452829 | − | 0.891597i | \(-0.350415\pi\) |
−0.455151 | + | 0.890414i | \(0.650415\pi\) | |||||||
\(864\) | 38370.9 | + | 59086.0i | 1.51088 | + | 2.32656i | ||||
\(865\) | 812.186 | − | 2115.82i | 0.0319250 | − | 0.0831675i | ||||
\(866\) | 4506.99 | − | 28456.0i | 0.176852 | − | 1.11660i | ||||
\(867\) | 8148.09 | + | 9049.37i | 0.319174 | + | 0.354478i | ||||
\(868\) | 20356.9 | + | 35259.1i | 0.796033 | + | 1.37877i | ||||
\(869\) | −3698.05 | + | 3112.90i | −0.144359 | + | 0.121517i | ||||
\(870\) | 31524.0i | 1.22847i | ||||||||
\(871\) | −25374.9 | − | 16817.4i | −0.987136 | − | 0.654233i | ||||
\(872\) | −72689.3 | + | 52811.9i | −2.82290 | + | 2.05096i | ||||
\(873\) | 1496.80 | + | 1848.39i | 0.0580285 | + | 0.0716592i | ||||
\(874\) | 2113.36 | − | 2347.13i | 0.0817913 | − | 0.0908384i | ||||
\(875\) | 30814.7 | + | 6549.87i | 1.19055 | + | 0.253058i | ||||
\(876\) | 6762.04 | + | 42693.8i | 0.260808 | + | 1.64668i | ||||
\(877\) | −21962.4 | + | 27121.3i | −0.845629 | + | 1.04427i | 0.152801 | + | 0.988257i | \(0.451171\pi\) |
−0.998430 | + | 0.0560082i | \(0.982163\pi\) | |||||||
\(878\) | −1685.99 | + | 32170.5i | −0.0648056 | + | 1.23656i | ||||
\(879\) | −15364.1 | + | 15364.1i | −0.589553 | + | 0.589553i | ||||
\(880\) | −6497.13 | + | 33706.1i | −0.248884 | + | 1.29117i | ||||
\(881\) | −5537.82 | + | 3197.26i | −0.211775 | + | 0.122268i | −0.602136 | − | 0.798394i | \(-0.705684\pi\) |
0.390361 | + | 0.920662i | \(0.372350\pi\) | |||||||
\(882\) | −5191.52 | + | 7994.25i | −0.198195 | + | 0.305193i | ||||
\(883\) | 6122.10 | + | 8426.35i | 0.233324 | + | 0.321143i | 0.909584 | − | 0.415520i | \(-0.136400\pi\) |
−0.676260 | + | 0.736663i | \(0.736400\pi\) | |||||||
\(884\) | 5772.42 | − | 50391.9i | 0.219624 | − | 1.91727i | ||||
\(885\) | 2904.57 | + | 8939.34i | 0.110323 | + | 0.339540i | ||||
\(886\) | −43587.2 | + | 2284.31i | −1.65275 | + | 0.0866172i | ||||
\(887\) | 33815.9 | + | 3554.20i | 1.28008 | + | 0.134541i | 0.720044 | − | 0.693929i | \(-0.244122\pi\) |
0.560033 | + | 0.828470i | \(0.310788\pi\) | |||||||
\(888\) | −8355.56 | − | 79497.8i | −0.315759 | − | 3.00425i | ||||
\(889\) | −2153.27 | − | 4226.04i | −0.0812357 | − | 0.159434i | ||||
\(890\) | 1229.68 | − | 329.492i | 0.0463134 | − | 0.0124097i | ||||
\(891\) | −23218.5 | − | 18081.9i | −0.873005 | − | 0.679872i | ||||
\(892\) | −29481.7 | − | 29481.7i | −1.10664 | − | 1.10664i | ||||
\(893\) | −1584.47 | + | 1426.67i | −0.0593756 | + | 0.0534620i | ||||
\(894\) | 29103.0 | − | 65366.4i | 1.08876 | − | 2.44539i | ||||
\(895\) | −6307.64 | + | 5107.83i | −0.235577 | + | 0.190766i | ||||
\(896\) | −71162.1 | + | 23122.0i | −2.65330 | + | 0.862111i | ||||
\(897\) | 25534.4 | + | 5677.10i | 0.950466 | + | 0.211319i | ||||
\(898\) | 48243.4 | − | 66401.3i | 1.79276 | − | 2.46753i | ||||
\(899\) | −5423.73 | − | 14129.3i | −0.201214 | − | 0.524180i | ||||
\(900\) | 6902.39 | − | 1467.15i | 0.255644 | − | 0.0543389i | ||||
\(901\) | −6214.03 | + | 10763.0i | −0.229766 | + | 0.397967i | ||||
\(902\) | 56164.3 | + | 54067.8i | 2.07325 | + | 1.99586i | ||||
\(903\) | −10443.2 | − | 38974.6i | −0.384860 | − | 1.43632i | ||||
\(904\) | −105119. | − | 5509.07i | −3.86750 | − | 0.202687i | ||||
\(905\) | 13826.9 | + | 2189.97i | 0.507870 | + | 0.0804388i | ||||
\(906\) | −93429.7 | + | 41597.6i | −3.42604 | + | 1.52537i | ||||
\(907\) | −3637.12 | − | 3274.87i | −0.133152 | − | 0.119890i | 0.599864 | − | 0.800102i | \(-0.295221\pi\) |
−0.733016 | + | 0.680212i | \(0.761888\pi\) | |||||||
\(908\) | 338.847 | + | 6465.58i | 0.0123844 | + | 0.236308i | ||||
\(909\) | 3311.78 | + | 2406.15i | 0.120841 | + | 0.0877964i | ||||
\(910\) | 34210.0 | + | 5746.14i | 1.24621 | + | 0.209322i | ||||
\(911\) | −2934.57 | + | 9031.68i | −0.106725 | + | 0.328466i | −0.990131 | − | 0.140141i | \(-0.955244\pi\) |
0.883406 | + | 0.468608i | \(0.155244\pi\) | |||||||
\(912\) | 1677.58 | − | 6260.81i | 0.0609103 | − | 0.227320i | ||||
\(913\) | −6172.12 | − | 10235.9i | −0.223732 | − | 0.371038i | ||||
\(914\) | 29816.3 | + | 17214.5i | 1.07903 | + | 0.622980i | ||||
\(915\) | −16444.9 | + | 8379.10i | −0.594155 | + | 0.302737i | ||||
\(916\) | 30409.3 | + | 24625.0i | 1.09689 | + | 0.888244i | ||||
\(917\) | −55035.4 | − | 21126.1i | −1.98193 | − | 0.760791i | ||||
\(918\) | −16534.2 | + | 32450.2i | −0.594456 | + | 1.16669i | ||||
\(919\) | −5771.05 | + | 27150.6i | −0.207148 | + | 0.974556i | 0.744561 | + | 0.667555i | \(0.232659\pi\) |
−0.951709 | + | 0.307001i | \(0.900674\pi\) | |||||||
\(920\) | −3382.01 | + | 32177.7i | −0.121197 | + | 1.15312i | ||||
\(921\) | 44190.7 | − | 16963.2i | 1.58104 | − | 0.606903i | ||||
\(922\) | 78979.2 | + | 25661.9i | 2.82109 | + | 0.916626i | ||||
\(923\) | −24928.8 | + | 6430.87i | −0.888993 | + | 0.229333i | ||||
\(924\) | 99234.6 | − | 75022.1i | 3.53309 | − | 2.67105i | ||||
\(925\) | 21100.3 | + | 5653.82i | 0.750026 | + | 0.200969i | ||||
\(926\) | −15947.9 | − | 75028.8i | −0.565961 | − | 2.66263i | ||||
\(927\) | 3388.13 | − | 356.107i | 0.120044 | − | 0.0126171i | ||||
\(928\) | 122794. | − | 19448.7i | 4.34366 | − | 0.687968i | ||||
\(929\) | 10381.3 | − | 6741.67i | 0.366629 | − | 0.238091i | −0.348155 | − | 0.937437i | \(-0.613192\pi\) |
0.714784 | + | 0.699345i | \(0.246525\pi\) | |||||||
\(930\) | 7539.06 | − | 4895.92i | 0.265823 | − | 0.172628i | ||||
\(931\) | −3107.81 | + | 492.229i | −0.109403 | + | 0.0173278i | ||||
\(932\) | −16857.5 | + | 1771.80i | −0.592475 | + | 0.0622717i | ||||
\(933\) | −3029.01 | − | 14250.4i | −0.106286 | − | 0.500038i | ||||
\(934\) | 11765.8 | + | 3152.64i | 0.412194 | + | 0.110447i | ||||
\(935\) | −8297.98 | + | 2871.74i | −0.290238 | + | 0.100445i | ||||
\(936\) | 10227.8 | − | 2638.46i | 0.357164 | − | 0.0921375i | ||||
\(937\) | 23989.6 | + | 7794.71i | 0.836401 | + | 0.271763i | 0.695739 | − | 0.718295i | \(-0.255077\pi\) |
0.140662 | + | 0.990058i | \(0.455077\pi\) | |||||||
\(938\) | −96873.8 | + | 37186.4i | −3.37211 | + | 1.29443i | ||||
\(939\) | −630.281 | + | 5996.72i | −0.0219046 | + | 0.208409i | ||||
\(940\) | 7373.59 | − | 34690.0i | 0.255851 | − | 1.20368i | ||||
\(941\) | 11156.2 | − | 21895.3i | 0.386484 | − | 0.758518i | −0.613018 | − | 0.790069i | \(-0.710045\pi\) |
0.999502 | + | 0.0315512i | \(0.0100447\pi\) | |||||||
\(942\) | −39941.9 | − | 15332.2i | −1.38150 | − | 0.530310i | ||||
\(943\) | 31373.0 | + | 25405.3i | 1.08340 | + | 0.877318i | ||||
\(944\) | 66747.3 | − | 34009.4i | 2.30131 | − | 1.17258i | ||||
\(945\) | −15584.5 | − | 8997.73i | −0.536471 | − | 0.309732i | ||||
\(946\) | −4132.00 | + | 48094.8i | −0.142012 | + | 1.65296i | ||||
\(947\) | −5935.91 | + | 22153.1i | −0.203686 | + | 0.760168i | 0.786160 | + | 0.618024i | \(0.212066\pi\) |
−0.989846 | + | 0.142144i | \(0.954600\pi\) | |||||||
\(948\) | −4691.56 | + | 14439.1i | −0.160733 | + | 0.494685i | ||||
\(949\) | −17437.5 | − | 2928.92i | −0.596465 | − | 0.100186i | ||||
\(950\) | 2608.42 | + | 1895.13i | 0.0890826 | + | 0.0647223i | ||||
\(951\) | −2722.89 | − | 51955.8i | −0.0928452 | − | 1.77159i | ||||
\(952\) | −79129.1 | − | 71248.2i | −2.69390 | − | 2.42559i | ||||
\(953\) | −42233.6 | + | 18803.6i | −1.43555 | + | 0.639148i | −0.969384 | − | 0.245549i | \(-0.921032\pi\) |
−0.466166 | + | 0.884697i | \(0.654365\pi\) | |||||||
\(954\) | −4150.64 | − | 657.396i | −0.140861 | − | 0.0223103i | ||||
\(955\) | 11976.5 | + | 627.663i | 0.405813 | + | 0.0212677i | ||||
\(956\) | −18174.0 | − | 67826.5i | −0.614844 | − | 2.29463i | ||||
\(957\) | −40797.0 | + | 21774.0i | −1.37803 | + | 0.735479i | ||||
\(958\) | 837.131 | − | 1449.95i | 0.0282322 | − | 0.0488996i | ||||
\(959\) | 2253.05 | − | 478.900i | 0.0758652 | − | 0.0161256i | ||||
\(960\) | 11621.6 | + | 30275.4i | 0.390715 | + | 1.01785i | ||||
\(961\) | 14974.0 | − | 20609.9i | 0.502635 | − | 0.691818i | ||||
\(962\) | 51827.0 | + | 11522.8i | 1.73697 | + | 0.386184i | ||||
\(963\) | 1454.62 | − | 472.634i | 0.0486754 | − | 0.0158156i | ||||
\(964\) | −42378.5 | + | 34317.4i | −1.41589 | + | 1.14657i | ||||
\(965\) | −4792.84 | + | 10764.9i | −0.159883 | + | 0.359103i | ||||
\(966\) | 66261.1 | − | 59661.7i | 2.20695 | − | 1.98715i | ||||
\(967\) | −12521.1 | − | 12521.1i | −0.416394 | − | 0.416394i | 0.467565 | − | 0.883959i | \(-0.345131\pi\) |
−0.883959 | + | 0.467565i | \(0.845131\pi\) | |||||||
\(968\) | −87569.1 | + | 27072.2i | −2.90762 | + | 0.898899i | ||||
\(969\) | 1601.54 | − | 429.131i | 0.0530948 | − | 0.0142267i | ||||
\(970\) | −8206.37 | − | 16105.9i | −0.271640 | − | 0.533124i | ||||
\(971\) | −2562.89 | − | 24384.3i | −0.0847036 | − | 0.805901i | −0.951585 | − | 0.307386i | \(-0.900546\pi\) |
0.866881 | − | 0.498515i | \(-0.166121\pi\) | |||||||
\(972\) | −18917.2 | − | 1988.27i | −0.624247 | − | 0.0656110i | ||||
\(973\) | −67769.3 | + | 3551.64i | −2.23287 | + | 0.117020i | ||||
\(974\) | 7229.26 | + | 22249.4i | 0.237824 | + | 0.731947i | ||||
\(975\) | −3038.97 | + | 26529.5i | −0.0998204 | + | 0.871409i | ||||
\(976\) | 86461.4 | + | 119004.i | 2.83562 | + | 3.90289i | ||||
\(977\) | 17049.9 | − | 26254.6i | 0.558317 | − | 0.859732i | −0.440969 | − | 0.897522i | \(-0.645365\pi\) |
0.999286 | + | 0.0377901i | \(0.0120318\pi\) | |||||||
\(978\) | 62016.1 | − | 35805.0i | 2.02767 | − | 1.17067i | ||||
\(979\) | 1275.77 | + | 1363.81i | 0.0416483 | + | 0.0445226i | ||||
\(980\) | 37009.0 | − | 37009.0i | 1.20634 | − | 1.20634i | ||||
\(981\) | 223.451 | − | 4263.69i | 0.00727240 | − | 0.138766i | ||||
\(982\) | −2104.30 | + | 2598.60i | −0.0683818 | + | 0.0844445i | ||||
\(983\) | −4362.08 | − | 27541.1i | −0.141535 | − | 0.893615i | −0.951614 | − | 0.307295i | \(-0.900576\pi\) |
0.810080 | − | 0.586320i | \(-0.199424\pi\) | |||||||
\(984\) | 147506. | + | 31353.4i | 4.77879 | + | 1.01576i | ||||
\(985\) | 7751.60 | − | 8609.03i | 0.250748 | − | 0.278484i | ||||
\(986\) | 40445.8 | + | 49946.4i | 1.30635 | + | 1.61320i | ||||
\(987\) | −48695.8 | + | 35379.5i | −1.57042 | + | 1.14098i | ||||
\(988\) | 4719.14 | + | 3127.65i | 0.151959 | + | 0.100712i | ||||
\(989\) | 24996.3i | 0.803677i | ||||||||
\(990\) | −1912.07 | − | 2271.49i | −0.0613833 | − | 0.0729220i | ||||
\(991\) | 5037.19 | + | 8724.67i | 0.161465 | + | 0.279665i | 0.935394 | − | 0.353607i | \(-0.115045\pi\) |
−0.773929 | + | 0.633272i | \(0.781712\pi\) | |||||||
\(992\) | −23722.1 | − | 26346.0i | −0.759251 | − | 0.843233i | ||||
\(993\) | 1946.49 | − | 12289.7i | 0.0622056 | − | 0.392751i | ||||
\(994\) | −31448.7 | + | 81926.7i | −1.00351 | + | 2.61424i | ||||
\(995\) | −7364.89 | − | 11340.9i | −0.234656 | − | 0.361339i | ||||
\(996\) | −33449.8 | − | 17043.5i | −1.06415 | − | 0.542214i | ||||
\(997\) | −21022.1 | − | 47216.4i | −0.667780 | − | 1.49986i | −0.855591 | − | 0.517652i | \(-0.826806\pi\) |
0.187812 | − | 0.982205i | \(-0.439861\pi\) | |||||||
\(998\) | 24700.2 | + | 10997.2i | 0.783437 | + | 0.348809i | ||||
\(999\) | −23099.0 | − | 15000.6i | −0.731551 | − | 0.475075i |
(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 | 143.4.w.a.2.2 | ✓ | 640 | |
11.6 | odd | 10 | inner | 143.4.w.a.28.2 | yes | 640 | |
13.7 | odd | 12 | inner | 143.4.w.a.46.2 | yes | 640 | |
143.72 | even | 60 | inner | 143.4.w.a.72.2 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.4.w.a.2.2 | ✓ | 640 | 1.1 | even | 1 | trivial | |
143.4.w.a.28.2 | yes | 640 | 11.6 | odd | 10 | inner | |
143.4.w.a.46.2 | yes | 640 | 13.7 | odd | 12 | inner | |
143.4.w.a.72.2 | yes | 640 | 143.72 | even | 60 | inner |