Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,4,Mod(16,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(98))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.16");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.g (of order \(49\), degree \(42\), 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: | \(11.6233762711\) |
Analytic rank: | \(0\) |
Dimension: | \(2058\) |
Relative dimension: | \(49\) over \(\Q(\zeta_{49})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{49}]$ |
Embedding invariants
Embedding label | 16.5 | ||
Character | \(\chi\) | \(=\) | 197.16 |
Dual form | 197.4.g.a.37.5 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{49}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.56883 | − | 0.293328i | −1.61532 | − | 0.103707i | −0.770030 | − | 0.638008i | \(-0.779759\pi\) |
−0.845295 | + | 0.534300i | \(0.820575\pi\) | |||||||
\(3\) | 2.48580 | − | 3.56358i | 0.478392 | − | 0.685812i | −0.505853 | − | 0.862620i | \(-0.668822\pi\) |
0.984245 | + | 0.176808i | \(0.0565772\pi\) | |||||||
\(4\) | 12.8538 | + | 1.65732i | 1.60673 | + | 0.207165i | ||||
\(5\) | 14.1644 | − | 9.22000i | 1.26690 | − | 0.824662i | 0.276252 | − | 0.961085i | \(-0.410908\pi\) |
0.990651 | + | 0.136423i | \(0.0435606\pi\) | |||||||
\(6\) | −12.4025 | + | 15.5522i | −0.843883 | + | 1.05820i | ||||
\(7\) | −25.2149 | + | 1.61885i | −1.36148 | + | 0.0874097i | −0.727588 | − | 0.686015i | \(-0.759359\pi\) |
−0.633889 | + | 0.773424i | \(0.718542\pi\) | |||||||
\(8\) | −22.2903 | − | 4.34104i | −0.985102 | − | 0.191849i | ||||
\(9\) | 2.80495 | + | 7.62194i | 0.103887 | + | 0.282294i | ||||
\(10\) | −67.4192 | + | 37.9698i | −2.13198 | + | 1.20071i | ||||
\(11\) | −17.8505 | + | 60.1444i | −0.489286 | + | 1.64857i | 0.244849 | + | 0.969561i | \(0.421262\pi\) |
−0.734134 | + | 0.679004i | \(0.762412\pi\) | |||||||
\(12\) | 37.8580 | − | 41.6859i | 0.910723 | − | 1.00281i | ||||
\(13\) | −1.41073 | + | 43.9917i | −0.0300974 | + | 0.938546i | 0.867423 | + | 0.497572i | \(0.165775\pi\) |
−0.897520 | + | 0.440974i | \(0.854633\pi\) | |||||||
\(14\) | 115.677 | 2.20829 | ||||||||
\(15\) | 2.35364 | − | 73.3951i | 0.0405138 | − | 1.26337i | ||||
\(16\) | 0.276370 | + | 0.0724727i | 0.00431828 | + | 0.00113239i | ||||
\(17\) | −76.7593 | − | 74.3373i | −1.09511 | − | 1.06056i | −0.997866 | − | 0.0652947i | \(-0.979201\pi\) |
−0.0972444 | − | 0.995261i | \(-0.531003\pi\) | |||||||
\(18\) | −10.5796 | − | 35.6461i | −0.138535 | − | 0.466771i | ||||
\(19\) | −73.1467 | − | 35.2256i | −0.883210 | − | 0.425332i | −0.0634144 | − | 0.997987i | \(-0.520199\pi\) |
−0.819796 | + | 0.572656i | \(0.805913\pi\) | |||||||
\(20\) | 197.347 | − | 95.0374i | 2.20641 | − | 1.06255i | ||||
\(21\) | −56.9103 | + | 93.8795i | −0.591374 | + | 0.975533i | ||||
\(22\) | 99.1981 | − | 269.553i | 0.961323 | − | 2.61223i | ||||
\(23\) | 16.8572 | + | 104.268i | 0.152825 | + | 0.945278i | 0.943096 | + | 0.332520i | \(0.107899\pi\) |
−0.790271 | + | 0.612757i | \(0.790060\pi\) | |||||||
\(24\) | −70.8789 | + | 68.6424i | −0.602838 | + | 0.583816i | ||||
\(25\) | 65.0239 | − | 146.890i | 0.520191 | − | 1.17512i | ||||
\(26\) | 19.3494 | − | 200.577i | 0.145951 | − | 1.51294i | ||||
\(27\) | 147.610 | + | 38.7079i | 1.05213 | + | 0.275901i | ||||
\(28\) | −326.791 | − | 20.9807i | −2.20563 | − | 0.141606i | ||||
\(29\) | −185.671 | + | 204.444i | −1.18890 | + | 1.30911i | −0.248669 | + | 0.968589i | \(0.579993\pi\) |
−0.940235 | + | 0.340526i | \(0.889395\pi\) | |||||||
\(30\) | −32.2822 | + | 334.639i | −0.196463 | + | 2.03655i | ||||
\(31\) | −80.3690 | + | 32.5378i | −0.465636 | + | 0.188515i | −0.596054 | − | 0.802944i | \(-0.703266\pi\) |
0.130419 | + | 0.991459i | \(0.458368\pi\) | |||||||
\(32\) | 171.176 | + | 56.8344i | 0.945623 | + | 0.313969i | ||||
\(33\) | 169.957 | + | 213.119i | 0.896535 | + | 1.12422i | ||||
\(34\) | 328.895 | + | 362.150i | 1.65897 | + | 1.82671i | ||||
\(35\) | −342.228 | + | 255.412i | −1.65277 | + | 1.23350i | ||||
\(36\) | 23.4223 | + | 102.620i | 0.108437 | + | 0.475092i | ||||
\(37\) | 61.5665 | − | 16.1446i | 0.273553 | − | 0.0717341i | −0.114329 | − | 0.993443i | \(-0.536472\pi\) |
0.387883 | + | 0.921709i | \(0.373207\pi\) | |||||||
\(38\) | 323.862 | + | 182.396i | 1.38256 | + | 0.778644i | ||||
\(39\) | 153.261 | + | 114.382i | 0.629268 | + | 0.469635i | ||||
\(40\) | −355.753 | + | 144.029i | −1.40624 | + | 0.569323i | ||||
\(41\) | −312.773 | − | 302.904i | −1.19139 | − | 1.15380i | −0.984491 | − | 0.175434i | \(-0.943867\pi\) |
−0.206898 | − | 0.978362i | \(-0.566337\pi\) | |||||||
\(42\) | 287.551 | − | 412.226i | 1.05643 | − | 1.51447i | ||||
\(43\) | −55.4417 | + | 186.801i | −0.196623 | + | 0.662487i | 0.801312 | + | 0.598247i | \(0.204136\pi\) |
−0.997934 | + | 0.0642401i | \(0.979538\pi\) | |||||||
\(44\) | −329.126 | + | 743.502i | −1.12767 | + | 2.54743i | ||||
\(45\) | 110.005 | + | 82.0987i | 0.364412 | + | 0.271968i | ||||
\(46\) | −46.4331 | − | 481.327i | −0.148830 | − | 1.54278i | ||||
\(47\) | −6.68321 | − | 12.8105i | −0.0207414 | − | 0.0397574i | 0.876006 | − | 0.482301i | \(-0.160199\pi\) |
−0.896747 | + | 0.442543i | \(0.854076\pi\) | |||||||
\(48\) | 0.945263 | − | 0.804714i | 0.00284244 | − | 0.00241980i | ||||
\(49\) | 292.986 | − | 37.7764i | 0.854188 | − | 0.110135i | ||||
\(50\) | −340.170 | + | 652.042i | −0.962146 | + | 1.84425i | ||||
\(51\) | −455.715 | + | 88.7506i | −1.25123 | + | 0.243678i | ||||
\(52\) | −91.0415 | + | 563.124i | −0.242792 | + | 1.50175i | ||||
\(53\) | −12.9059 | − | 133.783i | −0.0334483 | − | 0.346727i | −0.996890 | − | 0.0788080i | \(-0.974889\pi\) |
0.963442 | − | 0.267919i | \(-0.0863359\pi\) | |||||||
\(54\) | −663.051 | − | 220.148i | −1.67092 | − | 0.554784i | ||||
\(55\) | 301.689 | + | 1016.49i | 0.739633 | + | 2.49207i | ||||
\(56\) | 569.076 | + | 73.3742i | 1.35796 | + | 0.175090i | ||||
\(57\) | −307.357 | + | 173.100i | −0.714219 | + | 0.402240i | ||||
\(58\) | 908.267 | − | 879.608i | 2.05623 | − | 1.99135i | ||||
\(59\) | −442.595 | − | 249.265i | −0.976626 | − | 0.550025i | −0.0818995 | − | 0.996641i | \(-0.526099\pi\) |
−0.894726 | + | 0.446615i | \(0.852629\pi\) | |||||||
\(60\) | 151.892 | − | 939.507i | 0.326820 | − | 2.02150i | ||||
\(61\) | 52.2525 | + | 74.9078i | 0.109676 | + | 0.157229i | 0.871234 | − | 0.490868i | \(-0.163320\pi\) |
−0.761558 | + | 0.648097i | \(0.775565\pi\) | |||||||
\(62\) | 376.737 | − | 125.085i | 0.771703 | − | 0.256223i | ||||
\(63\) | −83.0652 | − | 187.646i | −0.166115 | − | 0.375256i | ||||
\(64\) | −767.522 | − | 310.735i | −1.49907 | − | 0.606905i | ||||
\(65\) | 385.622 | + | 636.123i | 0.735853 | + | 1.21387i | ||||
\(66\) | −713.989 | − | 1023.56i | −1.33161 | − | 1.90896i | ||||
\(67\) | 238.639 | + | 457.425i | 0.435139 | + | 0.834081i | 0.999961 | + | 0.00886742i | \(0.00282262\pi\) |
−0.564821 | + | 0.825213i | \(0.691055\pi\) | |||||||
\(68\) | −863.451 | − | 1082.73i | −1.53984 | − | 1.93089i | ||||
\(69\) | 413.471 | + | 199.117i | 0.721393 | + | 0.347404i | ||||
\(70\) | 1638.50 | − | 1066.55i | 2.79769 | − | 1.82109i | ||||
\(71\) | 221.690 | + | 602.405i | 0.370561 | + | 1.00693i | 0.977268 | + | 0.212008i | \(0.0680003\pi\) |
−0.606707 | + | 0.794925i | \(0.707510\pi\) | |||||||
\(72\) | −29.4360 | − | 182.072i | −0.0481814 | − | 0.298019i | ||||
\(73\) | 1176.90 | − | 308.621i | 1.88693 | − | 0.494812i | 0.887513 | − | 0.460782i | \(-0.152431\pi\) |
0.999421 | − | 0.0340302i | \(-0.0108342\pi\) | |||||||
\(74\) | −286.022 | + | 55.7028i | −0.449316 | + | 0.0875044i | ||||
\(75\) | −361.819 | − | 596.858i | −0.557056 | − | 0.918922i | ||||
\(76\) | −881.835 | − | 574.011i | −1.33097 | − | 0.866363i | ||||
\(77\) | 352.735 | − | 1545.43i | 0.522050 | − | 2.28725i | ||||
\(78\) | −666.673 | − | 567.547i | −0.967767 | − | 0.823872i | ||||
\(79\) | 707.599 | + | 460.596i | 1.00773 | + | 0.655963i | 0.939799 | − | 0.341727i | \(-0.111012\pi\) |
0.0679356 | + | 0.997690i | \(0.478359\pi\) | |||||||
\(80\) | 4.58281 | − | 1.52160i | 0.00640468 | − | 0.00212650i | ||||
\(81\) | 337.894 | − | 287.653i | 0.463503 | − | 0.394586i | ||||
\(82\) | 1340.16 | + | 1475.66i | 1.80482 | + | 1.98731i | ||||
\(83\) | −809.071 | + | 389.628i | −1.06996 | + | 0.515268i | −0.884095 | − | 0.467307i | \(-0.845224\pi\) |
−0.185869 | + | 0.982574i | \(0.559510\pi\) | |||||||
\(84\) | −887.103 | + | 1112.39i | −1.15227 | + | 1.44490i | ||||
\(85\) | −1772.64 | − | 345.222i | −2.26200 | − | 0.440524i | ||||
\(86\) | 308.098 | − | 837.201i | 0.386314 | − | 1.04974i | ||||
\(87\) | 267.013 | + | 1169.86i | 0.329044 | + | 1.44163i | ||||
\(88\) | 658.984 | − | 1263.15i | 0.798271 | − | 1.53014i | ||||
\(89\) | 319.423 | + | 129.320i | 0.380435 | + | 0.154021i | 0.557498 | − | 0.830178i | \(-0.311762\pi\) |
−0.177063 | + | 0.984200i | \(0.556660\pi\) | |||||||
\(90\) | −478.511 | − | 407.362i | −0.560439 | − | 0.477108i | ||||
\(91\) | −35.6446 | − | 1111.53i | −0.0410612 | − | 1.28044i | ||||
\(92\) | 43.8749 | + | 1368.18i | 0.0497204 | + | 1.55046i | ||||
\(93\) | −83.8302 | + | 367.284i | −0.0934708 | + | 0.409523i | ||||
\(94\) | 26.7768 | + | 60.4892i | 0.0293810 | + | 0.0663722i | ||||
\(95\) | −1360.86 | + | 175.463i | −1.46970 | + | 0.189496i | ||||
\(96\) | 628.044 | − | 468.721i | 0.667702 | − | 0.498319i | ||||
\(97\) | 213.573 | − | 352.312i | 0.223558 | − | 0.368782i | −0.723248 | − | 0.690589i | \(-0.757351\pi\) |
0.946805 | + | 0.321807i | \(0.104290\pi\) | |||||||
\(98\) | −1349.69 | + | 86.6527i | −1.39121 | + | 0.0893188i | ||||
\(99\) | −508.487 | + | 32.6460i | −0.516211 | + | 0.0331418i | ||||
\(100\) | 1079.25 | − | 1780.34i | 1.07925 | − | 1.78034i | ||||
\(101\) | −858.000 | + | 640.342i | −0.845289 | + | 0.630855i | −0.930819 | − | 0.365480i | \(-0.880905\pi\) |
0.0855303 | + | 0.996336i | \(0.472742\pi\) | |||||||
\(102\) | 2108.12 | − | 271.812i | 2.04642 | − | 0.263857i | ||||
\(103\) | −598.791 | − | 1352.68i | −0.572821 | − | 1.29401i | −0.932578 | − | 0.360968i | \(-0.882446\pi\) |
0.359757 | − | 0.933046i | \(-0.382860\pi\) | |||||||
\(104\) | 222.415 | − | 974.465i | 0.209708 | − | 0.918790i | ||||
\(105\) | 59.4689 | + | 1854.46i | 0.0552721 | + | 1.72359i | ||||
\(106\) | 19.7224 | + | 615.017i | 0.0180718 | + | 0.563545i | ||||
\(107\) | 322.163 | + | 274.261i | 0.291072 | + | 0.247793i | 0.781814 | − | 0.623512i | \(-0.214295\pi\) |
−0.490742 | + | 0.871305i | \(0.663274\pi\) | |||||||
\(108\) | 1833.20 | + | 742.181i | 1.63333 | + | 0.661263i | ||||
\(109\) | 1040.38 | − | 1994.21i | 0.914223 | − | 1.75239i | 0.321695 | − | 0.946843i | \(-0.395747\pi\) |
0.592527 | − | 0.805550i | \(-0.298130\pi\) | |||||||
\(110\) | −1080.20 | − | 4732.67i | −0.936301 | − | 4.10220i | ||||
\(111\) | 95.5092 | − | 259.529i | 0.0816697 | − | 0.221923i | ||||
\(112\) | −7.08596 | − | 1.37999i | −0.00597822 | − | 0.00116426i | ||||
\(113\) | 122.588 | − | 153.721i | 0.102054 | − | 0.127972i | −0.728182 | − | 0.685384i | \(-0.759634\pi\) |
0.830236 | + | 0.557412i | \(0.188206\pi\) | |||||||
\(114\) | 1455.04 | − | 700.709i | 1.19541 | − | 0.575679i | ||||
\(115\) | 1200.12 | + | 1321.47i | 0.973149 | + | 1.07155i | ||||
\(116\) | −2725.41 | + | 2320.17i | −2.18145 | + | 1.85709i | ||||
\(117\) | −339.259 | + | 112.642i | −0.268073 | + | 0.0890063i | ||||
\(118\) | 1949.02 | + | 1268.67i | 1.52053 | + | 0.989753i | ||||
\(119\) | 2055.82 | + | 1750.15i | 1.58367 | + | 1.34820i | ||||
\(120\) | −371.074 | + | 1625.78i | −0.282286 | + | 1.23677i | ||||
\(121\) | −2183.21 | − | 1421.11i | −1.64028 | − | 1.06770i | ||||
\(122\) | −216.760 | − | 357.568i | −0.160857 | − | 0.265350i | ||||
\(123\) | −1856.91 | + | 361.634i | −1.36124 | + | 0.265101i | ||||
\(124\) | −1086.98 | + | 285.038i | −0.787204 | + | 0.206429i | ||||
\(125\) | −96.1311 | − | 594.605i | −0.0687858 | − | 0.425465i | ||||
\(126\) | 324.469 | + | 881.686i | 0.229413 | + | 0.623388i | ||||
\(127\) | 588.408 | − | 383.011i | 0.411124 | − | 0.267612i | −0.323308 | − | 0.946294i | \(-0.604795\pi\) |
0.734433 | + | 0.678681i | \(0.237448\pi\) | |||||||
\(128\) | 2115.50 | + | 1018.77i | 1.46083 | + | 0.703497i | ||||
\(129\) | 527.865 | + | 661.922i | 0.360279 | + | 0.451775i | ||||
\(130\) | −1575.25 | − | 3019.45i | −1.06276 | − | 2.03710i | ||||
\(131\) | 71.0002 | + | 101.784i | 0.0473535 | + | 0.0678849i | 0.843146 | − | 0.537684i | \(-0.180701\pi\) |
−0.795793 | + | 0.605569i | \(0.792946\pi\) | |||||||
\(132\) | 1831.39 | + | 3021.06i | 1.20759 | + | 1.99204i | ||||
\(133\) | 1901.41 | + | 769.796i | 1.23965 | + | 0.501878i | ||||
\(134\) | −956.122 | − | 2159.90i | −0.616391 | − | 1.39244i | ||||
\(135\) | 2447.69 | − | 812.691i | 1.56047 | − | 0.518113i | ||||
\(136\) | 1388.29 | + | 1990.22i | 0.875330 | + | 1.25485i | ||||
\(137\) | −126.628 | + | 783.238i | −0.0789675 | + | 0.488442i | 0.917012 | + | 0.398860i | \(0.130594\pi\) |
−0.995979 | + | 0.0895822i | \(0.971447\pi\) | |||||||
\(138\) | −1830.67 | − | 1031.02i | −1.12925 | − | 0.635985i | ||||
\(139\) | −340.228 | + | 329.493i | −0.207610 | + | 0.201059i | −0.792186 | − | 0.610280i | \(-0.791057\pi\) |
0.584576 | + | 0.811339i | \(0.301261\pi\) | |||||||
\(140\) | −4822.24 | + | 2715.83i | −2.91110 | + | 1.63950i | ||||
\(141\) | −62.2643 | − | 8.02809i | −0.0371886 | − | 0.00479494i | ||||
\(142\) | −836.163 | − | 2817.31i | −0.494150 | − | 1.66495i | ||||
\(143\) | −2620.67 | − | 870.123i | −1.53253 | − | 0.508835i | ||||
\(144\) | 0.222820 | + | 2.30976i | 0.000128947 | + | 0.00133667i | ||||
\(145\) | −744.940 | + | 4607.72i | −0.426647 | + | 2.63897i | ||||
\(146\) | −5467.60 | + | 1064.81i | −3.09933 | + | 0.603594i | ||||
\(147\) | 593.686 | − | 1137.99i | 0.333105 | − | 0.638500i | ||||
\(148\) | 818.122 | − | 105.485i | 0.454386 | − | 0.0585866i | ||||
\(149\) | 277.967 | − | 236.637i | 0.152832 | − | 0.130108i | −0.568540 | − | 0.822656i | \(-0.692491\pi\) |
0.721372 | + | 0.692548i | \(0.243512\pi\) | |||||||
\(150\) | 1478.01 | + | 2833.07i | 0.804527 | + | 1.54213i | ||||
\(151\) | 8.24726 | + | 85.4915i | 0.00444472 | + | 0.0460742i | 0.997335 | − | 0.0729602i | \(-0.0232446\pi\) |
−0.992890 | + | 0.119034i | \(0.962020\pi\) | |||||||
\(152\) | 1477.55 | + | 1102.72i | 0.788453 | + | 0.588438i | ||||
\(153\) | 351.289 | − | 793.567i | 0.185621 | − | 0.419321i | ||||
\(154\) | −2064.90 | + | 6957.35i | −1.08049 | + | 3.64051i | ||||
\(155\) | −838.381 | + | 1201.88i | −0.434454 | + | 0.622822i | ||||
\(156\) | 1780.43 | + | 1724.25i | 0.913770 | + | 0.884937i | ||||
\(157\) | −2633.75 | + | 1066.29i | −1.33883 | + | 0.542032i | −0.928983 | − | 0.370123i | \(-0.879316\pi\) |
−0.409846 | + | 0.912155i | \(0.634418\pi\) | |||||||
\(158\) | −3097.79 | − | 2311.94i | −1.55979 | − | 1.16410i | ||||
\(159\) | −508.828 | − | 286.567i | −0.253791 | − | 0.142932i | ||||
\(160\) | 2948.62 | − | 773.220i | 1.45693 | − | 0.382052i | ||||
\(161\) | −593.848 | − | 2601.82i | −0.290694 | − | 1.27361i | ||||
\(162\) | −1628.16 | + | 1215.12i | −0.789629 | + | 0.589316i | ||||
\(163\) | 112.577 | + | 123.959i | 0.0540962 | + | 0.0595659i | 0.766727 | − | 0.641974i | \(-0.221884\pi\) |
−0.712631 | + | 0.701540i | \(0.752496\pi\) | |||||||
\(164\) | −3518.32 | − | 4411.84i | −1.67521 | − | 2.10065i | ||||
\(165\) | 4372.29 | + | 1451.70i | 2.06292 | + | 0.684938i | ||||
\(166\) | 3810.79 | − | 1542.82i | 1.78178 | − | 0.721362i | ||||
\(167\) | 17.5186 | − | 181.599i | 0.00811757 | − | 0.0841471i | −0.990431 | − | 0.138011i | \(-0.955929\pi\) |
0.998548 | + | 0.0538637i | \(0.0171536\pi\) | |||||||
\(168\) | 1676.08 | − | 1845.55i | 0.769718 | − | 0.847545i | ||||
\(169\) | 259.207 | + | 16.6416i | 0.117982 | + | 0.00757470i | ||||
\(170\) | 7997.63 | + | 2097.22i | 3.60818 | + | 0.946175i | ||||
\(171\) | 63.3149 | − | 656.326i | 0.0283147 | − | 0.293512i | ||||
\(172\) | −1022.23 | + | 2309.23i | −0.453163 | + | 1.02370i | ||||
\(173\) | 437.329 | − | 423.529i | 0.192194 | − | 0.186129i | −0.593333 | − | 0.804957i | \(-0.702188\pi\) |
0.785526 | + | 0.618828i | \(0.212392\pi\) | |||||||
\(174\) | −876.783 | − | 5423.21i | −0.382004 | − | 2.36283i | ||||
\(175\) | −1401.78 | + | 3809.08i | −0.605511 | + | 1.64537i | ||||
\(176\) | −9.29218 | + | 15.3284i | −0.00397969 | + | 0.00656491i | ||||
\(177\) | −1988.48 | + | 957.600i | −0.844424 | + | 0.406653i | ||||
\(178\) | −1421.45 | − | 684.536i | −0.598553 | − | 0.288248i | ||||
\(179\) | 522.366 | + | 1760.02i | 0.218120 | + | 0.734918i | 0.994508 | + | 0.104663i | \(0.0333763\pi\) |
−0.776388 | + | 0.630255i | \(0.782950\pi\) | |||||||
\(180\) | 1277.92 | + | 1237.59i | 0.529169 | + | 0.512471i | ||||
\(181\) | −3731.59 | − | 978.537i | −1.53241 | − | 0.401846i | −0.611382 | − | 0.791336i | \(-0.709386\pi\) |
−0.921031 | + | 0.389490i | \(0.872651\pi\) | |||||||
\(182\) | −163.189 | + | 5088.84i | −0.0664637 | + | 2.07258i | ||||
\(183\) | 396.829 | 0.160298 | ||||||||
\(184\) | 76.8782 | − | 2397.35i | 0.0308018 | − | 0.960514i | ||||
\(185\) | 723.199 | − | 796.322i | 0.287409 | − | 0.316469i | ||||
\(186\) | 490.741 | − | 1653.47i | 0.193456 | − | 0.651818i | ||||
\(187\) | 5841.17 | − | 3289.68i | 2.28422 | − | 1.28645i | ||||
\(188\) | −64.6738 | − | 175.740i | −0.0250895 | − | 0.0681762i | ||||
\(189\) | −3784.63 | − | 737.057i | −1.45657 | − | 0.283667i | ||||
\(190\) | 6269.00 | − | 402.483i | 2.39369 | − | 0.153680i | ||||
\(191\) | −2680.05 | + | 3360.67i | −1.01529 | + | 1.27314i | −0.0537316 | + | 0.998555i | \(0.517112\pi\) |
−0.961563 | + | 0.274584i | \(0.911460\pi\) | |||||||
\(192\) | −3015.24 | + | 1962.70i | −1.13336 | + | 0.737738i | ||||
\(193\) | −2206.64 | − | 284.515i | −0.822993 | − | 0.106113i | −0.295145 | − | 0.955452i | \(-0.595368\pi\) |
−0.527847 | + | 0.849339i | \(0.677001\pi\) | |||||||
\(194\) | −1079.12 | + | 1547.00i | −0.399363 | + | 0.572517i | ||||
\(195\) | 3225.45 | + | 207.081i | 1.18451 | + | 0.0760481i | ||||
\(196\) | 3828.60 | 1.39526 | ||||||||
\(197\) | −2552.08 | − | 1064.09i | −0.922984 | − | 0.384837i | ||||
\(198\) | 2332.77 | 0.837285 | ||||||||
\(199\) | 394.154 | + | 25.3055i | 0.140406 | + | 0.00901438i | 0.134115 | − | 0.990966i | \(-0.457181\pi\) |
0.00629164 | + | 0.999980i | \(0.497997\pi\) | |||||||
\(200\) | −2087.06 | + | 2991.96i | −0.737887 | + | 1.05782i | ||||
\(201\) | 2223.28 | + | 286.660i | 0.780190 | + | 0.100594i | ||||
\(202\) | 4107.88 | − | 2673.94i | 1.43084 | − | 0.931374i | ||||
\(203\) | 4350.71 | − | 5455.61i | 1.50423 | − | 1.88625i | ||||
\(204\) | −6004.77 | + | 385.519i | −2.06087 | + | 0.132312i | ||||
\(205\) | −7223.02 | − | 1406.68i | −2.46087 | − | 0.479254i | ||||
\(206\) | 2338.99 | + | 6355.80i | 0.791094 | + | 2.14966i | ||||
\(207\) | −747.441 | + | 420.951i | −0.250970 | + | 0.141344i | ||||
\(208\) | −3.57808 | + | 12.0557i | −0.00119277 | + | 0.00401882i | ||||
\(209\) | 3424.33 | − | 3770.57i | 1.13333 | − | 1.24792i | ||||
\(210\) | 272.263 | − | 8490.15i | 0.0894662 | − | 2.78989i | ||||
\(211\) | 411.294 | 0.134193 | 0.0670963 | − | 0.997747i | \(-0.478627\pi\) | ||||
0.0670963 | + | 0.997747i | \(0.478627\pi\) | |||||||
\(212\) | 55.8309 | − | 1741.01i | 0.0180872 | − | 0.564025i | ||||
\(213\) | 2697.80 | + | 707.446i | 0.867840 | + | 0.227575i | ||||
\(214\) | −1391.46 | − | 1347.55i | −0.444477 | − | 0.430452i | ||||
\(215\) | 937.011 | + | 3157.10i | 0.297226 | + | 1.00145i | ||||
\(216\) | −3122.24 | − | 1503.59i | −0.983526 | − | 0.473641i | ||||
\(217\) | 1973.82 | − | 950.543i | 0.617474 | − | 0.297360i | ||||
\(218\) | −5338.27 | + | 8806.04i | −1.65850 | + | 2.73587i | ||||
\(219\) | 1825.75 | − | 4961.16i | 0.563347 | − | 1.53080i | ||||
\(220\) | 2193.21 | + | 13565.8i | 0.672120 | + | 4.15730i | ||||
\(221\) | 3378.51 | − | 3271.90i | 1.02834 | − | 0.995892i | ||||
\(222\) | −512.493 | + | 1157.73i | −0.154938 | + | 0.350008i | ||||
\(223\) | 476.630 | − | 4940.77i | 0.143128 | − | 1.48367i | −0.592109 | − | 0.805858i | \(-0.701704\pi\) |
0.735236 | − | 0.677811i | \(-0.237071\pi\) | |||||||
\(224\) | −4408.20 | − | 1155.96i | −1.31489 | − | 0.344804i | ||||
\(225\) | 1301.98 | + | 83.5897i | 0.385771 | + | 0.0247673i | ||||
\(226\) | −605.175 | + | 666.364i | −0.178122 | + | 0.196132i | ||||
\(227\) | 67.0372 | − | 694.910i | 0.0196009 | − | 0.203184i | −0.980381 | − | 0.197114i | \(-0.936843\pi\) |
0.999982 | − | 0.00607054i | \(-0.00193232\pi\) | |||||||
\(228\) | −4237.60 | + | 1715.61i | −1.23089 | + | 0.498330i | ||||
\(229\) | 2186.07 | + | 725.825i | 0.630827 | + | 0.209449i | 0.612610 | − | 0.790385i | \(-0.290119\pi\) |
0.0182168 | + | 0.999834i | \(0.494201\pi\) | |||||||
\(230\) | −5095.54 | − | 6389.60i | −1.46082 | − | 1.83182i | ||||
\(231\) | −4630.45 | − | 5098.64i | −1.31888 | − | 1.45223i | ||||
\(232\) | 5026.16 | − | 3751.12i | 1.42234 | − | 1.06152i | ||||
\(233\) | −418.261 | − | 1832.52i | −0.117602 | − | 0.515247i | −0.999075 | − | 0.0430120i | \(-0.986305\pi\) |
0.881473 | − | 0.472235i | \(-0.156553\pi\) | |||||||
\(234\) | 1583.06 | − | 415.127i | 0.442255 | − | 0.115973i | ||||
\(235\) | −212.776 | − | 119.833i | −0.0590638 | − | 0.0332641i | ||||
\(236\) | −5275.92 | − | 3937.52i | −1.45523 | − | 1.08606i | ||||
\(237\) | 3400.32 | − | 1376.64i | 0.931960 | − | 0.377309i | ||||
\(238\) | −8879.32 | − | 8599.14i | −2.41832 | − | 2.34202i | ||||
\(239\) | 1999.49 | − | 2866.42i | 0.541157 | − | 0.775789i | −0.452070 | − | 0.891982i | \(-0.649314\pi\) |
0.993227 | + | 0.116194i | \(0.0370694\pi\) | |||||||
\(240\) | 5.96962 | − | 20.1136i | 0.00160557 | − | 0.00540970i | ||||
\(241\) | −2744.46 | + | 6199.77i | −0.733552 | + | 1.65711i | 0.0200706 | + | 0.999799i | \(0.493611\pi\) |
−0.753622 | + | 0.657308i | \(0.771695\pi\) | |||||||
\(242\) | 9557.87 | + | 7133.22i | 2.53886 | + | 1.89480i | ||||
\(243\) | 210.497 | + | 2182.02i | 0.0555695 | + | 0.576037i | ||||
\(244\) | 547.498 | + | 1049.45i | 0.143647 | + | 0.275345i | ||||
\(245\) | 3801.68 | − | 3236.42i | 0.991348 | − | 0.843947i | ||||
\(246\) | 8590.00 | − | 1107.56i | 2.22634 | − | 0.287054i | ||||
\(247\) | 1652.82 | − | 3168.15i | 0.425776 | − | 0.816133i | ||||
\(248\) | 1932.70 | − | 376.393i | 0.494865 | − | 0.0963750i | ||||
\(249\) | −622.717 | + | 3851.73i | −0.158486 | + | 0.980294i | ||||
\(250\) | 264.792 | + | 2744.85i | 0.0669877 | + | 0.694397i | ||||
\(251\) | −2788.53 | − | 925.856i | −0.701237 | − | 0.232827i | −0.0578026 | − | 0.998328i | \(-0.518409\pi\) |
−0.643434 | + | 0.765501i | \(0.722491\pi\) | |||||||
\(252\) | −756.717 | − | 2549.63i | −0.189162 | − | 0.637348i | ||||
\(253\) | −6572.05 | − | 847.372i | −1.63313 | − | 0.210568i | ||||
\(254\) | −2800.69 | + | 1577.32i | −0.691853 | + | 0.389644i | ||||
\(255\) | −5636.66 | + | 5458.80i | −1.38424 | + | 1.34056i | ||||
\(256\) | −3594.66 | − | 2024.48i | −0.877603 | − | 0.494257i | ||||
\(257\) | −621.086 | + | 3841.63i | −0.150748 | + | 0.932430i | 0.794782 | + | 0.606895i | \(0.207585\pi\) |
−0.945530 | + | 0.325535i | \(0.894456\pi\) | |||||||
\(258\) | −2217.56 | − | 3179.04i | −0.535114 | − | 0.767127i | ||||
\(259\) | −1526.26 | + | 506.752i | −0.366166 | + | 0.121575i | ||||
\(260\) | 3902.45 | + | 8815.71i | 0.930846 | + | 2.10280i | ||||
\(261\) | −2079.06 | − | 841.718i | −0.493067 | − | 0.199621i | ||||
\(262\) | −294.531 | − | 485.860i | −0.0694512 | − | 0.114567i | ||||
\(263\) | 939.748 | + | 1347.20i | 0.220332 | + | 0.315863i | 0.914989 | − | 0.403478i | \(-0.132199\pi\) |
−0.694657 | + | 0.719341i | \(0.744444\pi\) | |||||||
\(264\) | −2863.23 | − | 5488.28i | −0.667499 | − | 1.27947i | ||||
\(265\) | −1416.28 | − | 1775.96i | −0.328308 | − | 0.411685i | ||||
\(266\) | −8461.42 | − | 4074.80i | −1.95039 | − | 0.939256i | ||||
\(267\) | 1254.86 | − | 816.825i | 0.287627 | − | 0.187224i | ||||
\(268\) | 2309.32 | + | 6275.17i | 0.526359 | + | 1.43029i | ||||
\(269\) | 174.628 | + | 1080.14i | 0.0395809 | + | 0.244822i | 0.999353 | − | 0.0359571i | \(-0.0114480\pi\) |
−0.959772 | + | 0.280779i | \(0.909407\pi\) | |||||||
\(270\) | −11421.5 | + | 2995.07i | −2.57440 | + | 0.675088i | ||||
\(271\) | −4400.15 | + | 856.928i | −0.986309 | + | 0.192084i | −0.658435 | − | 0.752638i | \(-0.728781\pi\) |
−0.327874 | + | 0.944721i | \(0.606332\pi\) | |||||||
\(272\) | −15.8266 | − | 26.1076i | −0.00352804 | − | 0.00581986i | ||||
\(273\) | −4049.63 | − | 2636.02i | −0.897784 | − | 0.584392i | ||||
\(274\) | 808.287 | − | 3541.34i | 0.178213 | − | 0.780803i | ||||
\(275\) | 7673.91 | + | 6532.89i | 1.68274 | + | 1.43254i | ||||
\(276\) | 4984.69 | + | 3244.67i | 1.08711 | + | 0.707632i | ||||
\(277\) | 6398.36 | − | 2124.40i | 1.38787 | − | 0.460805i | 0.478976 | − | 0.877828i | \(-0.341008\pi\) |
0.908896 | + | 0.417023i | \(0.136927\pi\) | |||||||
\(278\) | 1651.09 | − | 1405.60i | 0.356209 | − | 0.303245i | ||||
\(279\) | −473.432 | − | 521.302i | −0.101590 | − | 0.111862i | ||||
\(280\) | 8737.13 | − | 4207.58i | 1.86480 | − | 0.898039i | ||||
\(281\) | 2607.25 | − | 3269.39i | 0.553508 | − | 0.694077i | −0.423835 | − | 0.905739i | \(-0.639316\pi\) |
0.977343 | + | 0.211663i | \(0.0678878\pi\) | |||||||
\(282\) | 282.120 | + | 54.9428i | 0.0595744 | + | 0.0116021i | ||||
\(283\) | −344.219 | + | 935.355i | −0.0723028 | + | 0.196470i | −0.969464 | − | 0.245233i | \(-0.921136\pi\) |
0.897161 | + | 0.441703i | \(0.145625\pi\) | |||||||
\(284\) | 1851.20 | + | 8110.62i | 0.386790 | + | 1.69464i | ||||
\(285\) | −2757.55 | + | 5285.70i | −0.573133 | + | 1.09859i | ||||
\(286\) | 11718.2 | + | 4744.16i | 2.42276 | + | 0.980868i | ||||
\(287\) | 8376.90 | + | 7131.36i | 1.72290 | + | 1.46673i | ||||
\(288\) | 46.9512 | + | 1464.11i | 0.00960635 | + | 0.299561i | ||||
\(289\) | 208.496 | + | 6501.69i | 0.0424377 | + | 1.32336i | ||||
\(290\) | 4755.08 | − | 20833.3i | 0.962854 | − | 4.21854i | ||||
\(291\) | −724.590 | − | 1636.86i | −0.145966 | − | 0.329741i | ||||
\(292\) | 15639.2 | − | 2016.45i | 3.13430 | − | 0.404123i | ||||
\(293\) | 3418.90 | − | 2551.59i | 0.681687 | − | 0.508756i | −0.200477 | − | 0.979698i | \(-0.564249\pi\) |
0.882164 | + | 0.470942i | \(0.156086\pi\) | |||||||
\(294\) | −3046.25 | + | 5025.12i | −0.604290 | + | 0.996839i | ||||
\(295\) | −8567.31 | + | 550.039i | −1.69087 | + | 0.108558i | ||||
\(296\) | −1442.42 | + | 92.6065i | −0.283240 | + | 0.0181846i | ||||
\(297\) | −4962.98 | + | 8186.96i | −0.969635 | + | 1.59951i | ||||
\(298\) | −1339.40 | + | 999.618i | −0.260366 | + | 0.194317i | ||||
\(299\) | −4610.71 | + | 594.485i | −0.891786 | + | 0.114983i | ||||
\(300\) | −3661.57 | − | 8271.55i | −0.704670 | − | 1.59186i | ||||
\(301\) | 1095.55 | − | 4799.93i | 0.209789 | − | 0.919147i | ||||
\(302\) | −12.6032 | − | 393.015i | −0.00240144 | − | 0.0748857i | ||||
\(303\) | 149.094 | + | 4649.31i | 0.0282682 | + | 0.881505i | ||||
\(304\) | −17.6626 | − | 15.0364i | −0.00333231 | − | 0.00283684i | ||||
\(305\) | 1430.78 | + | 579.257i | 0.268610 | + | 0.108748i | ||||
\(306\) | −1837.75 | + | 3522.63i | −0.343325 | + | 0.658089i | ||||
\(307\) | 662.765 | + | 2903.76i | 0.123212 | + | 0.539826i | 0.998426 | + | 0.0560897i | \(0.0178633\pi\) |
−0.875214 | + | 0.483736i | \(0.839280\pi\) | |||||||
\(308\) | 7095.26 | − | 19280.1i | 1.31263 | − | 3.56684i | ||||
\(309\) | −6308.86 | − | 1228.65i | −1.16148 | − | 0.226199i | ||||
\(310\) | 4182.96 | − | 5245.27i | 0.766375 | − | 0.961004i | ||||
\(311\) | −3604.93 | + | 1736.04i | −0.657289 | + | 0.316534i | −0.732633 | − | 0.680624i | \(-0.761709\pi\) |
0.0753438 | + | 0.997158i | \(0.475995\pi\) | |||||||
\(312\) | −2919.71 | − | 3214.92i | −0.529794 | − | 0.583362i | ||||
\(313\) | 2894.15 | − | 2463.83i | 0.522642 | − | 0.444932i | −0.347538 | − | 0.937666i | \(-0.612982\pi\) |
0.870180 | + | 0.492734i | \(0.164003\pi\) | |||||||
\(314\) | 12345.9 | − | 4099.13i | 2.21886 | − | 0.736711i | ||||
\(315\) | −2906.66 | − | 1892.03i | −0.519911 | − | 0.338424i | ||||
\(316\) | 8332.00 | + | 7093.13i | 1.48326 | + | 1.26272i | ||||
\(317\) | −1855.14 | + | 8127.89i | −0.328690 | + | 1.44009i | 0.492939 | + | 0.870064i | \(0.335923\pi\) |
−0.821629 | + | 0.570023i | \(0.806934\pi\) | |||||||
\(318\) | 2240.69 | + | 1458.53i | 0.395131 | + | 0.257202i | ||||
\(319\) | −8981.85 | − | 14816.5i | −1.57645 | − | 2.60052i | ||||
\(320\) | −13736.5 | + | 2675.18i | −2.39966 | + | 0.467334i | ||||
\(321\) | 1778.19 | − | 466.295i | 0.309186 | − | 0.0810780i | ||||
\(322\) | 1950.00 | + | 12061.5i | 0.337482 | + | 2.08745i | ||||
\(323\) | 2996.12 | + | 8141.42i | 0.516125 | + | 1.40248i | ||||
\(324\) | 4819.96 | − | 3137.45i | 0.826468 | − | 0.537971i | ||||
\(325\) | 6370.22 | + | 3067.73i | 1.08725 | + | 0.523592i | ||||
\(326\) | −477.982 | − | 599.371i | −0.0812055 | − | 0.101828i | ||||
\(327\) | −4520.36 | − | 8664.69i | −0.764455 | − | 1.46532i | ||||
\(328\) | 5656.90 | + | 8109.59i | 0.952286 | + | 1.36517i | ||||
\(329\) | 189.255 | + | 312.195i | 0.0317141 | + | 0.0523158i | ||||
\(330\) | −19550.4 | − | 7915.09i | −3.26126 | − | 1.32034i | ||||
\(331\) | 122.263 | + | 276.193i | 0.0203026 | + | 0.0458639i | 0.924276 | − | 0.381724i | \(-0.124670\pi\) |
−0.903974 | + | 0.427588i | \(0.859363\pi\) | |||||||
\(332\) | −11045.4 | + | 3667.32i | −1.82589 | + | 0.606236i | ||||
\(333\) | 295.744 | + | 423.971i | 0.0486687 | + | 0.0697702i | ||||
\(334\) | −133.308 | + | 824.556i | −0.0218392 | + | 0.135083i | ||||
\(335\) | 7597.64 | + | 4278.91i | 1.23911 | + | 0.697856i | ||||
\(336\) | −22.5320 | + | 21.8210i | −0.00365840 | + | 0.00354296i | ||||
\(337\) | −4604.21 | + | 2593.04i | −0.744235 | + | 0.419145i | −0.815832 | − | 0.578288i | \(-0.803721\pi\) |
0.0715976 | + | 0.997434i | \(0.477190\pi\) | |||||||
\(338\) | −1179.39 | − | 152.065i | −0.189794 | − | 0.0244712i | ||||
\(339\) | −243.066 | − | 818.971i | −0.0389426 | − | 0.131211i | ||||
\(340\) | −22213.1 | − | 7375.25i | −3.54316 | − | 1.17641i | ||||
\(341\) | −522.337 | − | 5414.57i | −0.0829505 | − | 0.859869i | ||||
\(342\) | −481.794 | + | 2980.07i | −0.0761767 | + | 0.471180i | ||||
\(343\) | 1180.23 | − | 229.850i | 0.185791 | − | 0.0361829i | ||||
\(344\) | 2046.72 | − | 3923.19i | 0.320791 | − | 0.614896i | ||||
\(345\) | 7692.44 | − | 991.830i | 1.20043 | − | 0.154778i | ||||
\(346\) | −2122.31 | + | 1806.75i | −0.329758 | + | 0.280727i | ||||
\(347\) | 2376.13 | + | 4554.59i | 0.367600 | + | 0.704620i | 0.997394 | − | 0.0721415i | \(-0.0229833\pi\) |
−0.629794 | + | 0.776762i | \(0.716861\pi\) | |||||||
\(348\) | 1493.31 | + | 15479.7i | 0.230028 | + | 2.38448i | ||||
\(349\) | −5487.12 | − | 4095.14i | −0.841601 | − | 0.628103i | 0.0882259 | − | 0.996100i | \(-0.471880\pi\) |
−0.929827 | + | 0.367997i | \(0.880044\pi\) | |||||||
\(350\) | 7521.80 | − | 16991.9i | 1.14873 | − | 2.59501i | ||||
\(351\) | −1911.06 | + | 6439.01i | −0.290613 | + | 0.979171i | ||||
\(352\) | −6473.86 | + | 9280.76i | −0.980278 | + | 1.40530i | ||||
\(353\) | −1780.31 | − | 1724.13i | −0.268431 | − | 0.259961i | 0.549216 | − | 0.835680i | \(-0.314926\pi\) |
−0.817648 | + | 0.575719i | \(0.804722\pi\) | |||||||
\(354\) | 9365.90 | − | 3791.83i | 1.40619 | − | 0.569304i | ||||
\(355\) | 8694.29 | + | 6488.71i | 1.29984 | + | 0.970099i | ||||
\(356\) | 3891.48 | + | 2191.64i | 0.579348 | + | 0.326283i | ||||
\(357\) | 11347.1 | − | 2975.57i | 1.68223 | − | 0.441131i | ||||
\(358\) | −1870.33 | − | 8194.47i | −0.276118 | − | 1.20975i | ||||
\(359\) | −6071.36 | + | 4531.17i | −0.892574 | + | 0.666145i | −0.943076 | − | 0.332579i | \(-0.892081\pi\) |
0.0505013 | + | 0.998724i | \(0.483918\pi\) | |||||||
\(360\) | −2095.65 | − | 2307.54i | −0.306806 | − | 0.337828i | ||||
\(361\) | −166.922 | − | 209.314i | −0.0243362 | − | 0.0305166i | ||||
\(362\) | 16761.9 | + | 5565.35i | 2.43367 | + | 0.808034i | ||||
\(363\) | −10491.3 | + | 4247.45i | −1.51694 | + | 0.614141i | ||||
\(364\) | 1383.99 | − | 14346.5i | 0.199288 | − | 2.06582i | ||||
\(365\) | 13824.7 | − | 15222.5i | 1.98251 | − | 2.18296i | ||||
\(366\) | −1813.05 | − | 116.401i | −0.258933 | − | 0.0166240i | ||||
\(367\) | 2678.10 | + | 702.280i | 0.380914 | + | 0.0998875i | 0.439146 | − | 0.898416i | \(-0.355281\pi\) |
−0.0582319 | + | 0.998303i | \(0.518546\pi\) | |||||||
\(368\) | −2.89775 | + | 30.0382i | −0.000410478 | + | 0.00425503i | ||||
\(369\) | 1431.41 | − | 3233.57i | 0.201940 | − | 0.456187i | ||||
\(370\) | −3537.75 | + | 3426.12i | −0.497079 | + | 0.481394i | ||||
\(371\) | 541.995 | + | 3352.43i | 0.0758464 | + | 0.469137i | ||||
\(372\) | −1686.25 | + | 4582.07i | −0.235021 | + | 0.638628i | ||||
\(373\) | −2461.68 | + | 4060.80i | −0.341719 | + | 0.563701i | −0.978219 | − | 0.207576i | \(-0.933443\pi\) |
0.636500 | + | 0.771277i | \(0.280381\pi\) | |||||||
\(374\) | −27652.2 | + | 13316.6i | −3.82317 | + | 1.84114i | ||||
\(375\) | −2357.89 | − | 1135.50i | −0.324695 | − | 0.156365i | ||||
\(376\) | 93.3602 | + | 314.561i | 0.0128050 | + | 0.0431443i | ||||
\(377\) | −8731.92 | − | 8456.39i | −1.19288 | − | 1.15524i | ||||
\(378\) | 17075.1 | + | 4477.63i | 2.32341 | + | 0.609271i | ||||
\(379\) | −71.1927 | + | 2220.05i | −0.00964887 | + | 0.300887i | 0.983274 | + | 0.182130i | \(0.0582992\pi\) |
−0.992923 | + | 0.118757i | \(0.962109\pi\) | |||||||
\(380\) | −17783.0 | −2.40066 | ||||||||
\(381\) | 97.7733 | − | 3048.93i | 0.0131472 | − | 0.409978i | ||||
\(382\) | 13230.4 | − | 14568.2i | 1.77206 | − | 1.95124i | ||||
\(383\) | 908.717 | − | 3061.77i | 0.121236 | − | 0.408483i | −0.876041 | − | 0.482237i | \(-0.839824\pi\) |
0.997276 | + | 0.0737538i | \(0.0234979\pi\) | |||||||
\(384\) | 8889.20 | − | 5006.30i | 1.18132 | − | 0.665304i | ||||
\(385\) | −9252.62 | − | 25142.3i | −1.22482 | − | 3.32824i | ||||
\(386\) | 9998.31 | + | 1947.17i | 1.31840 | + | 0.256758i | ||||
\(387\) | −1579.30 | + | 101.394i | −0.207443 | + | 0.0133183i | ||||
\(388\) | 3329.13 | − | 4174.59i | 0.435595 | − | 0.546219i | ||||
\(389\) | 1128.81 | − | 734.772i | 0.147128 | − | 0.0957697i | −0.469865 | − | 0.882738i | \(-0.655698\pi\) |
0.616993 | + | 0.786968i | \(0.288351\pi\) | |||||||
\(390\) | −14675.8 | − | 1892.24i | −1.90548 | − | 0.245685i | ||||
\(391\) | 6457.05 | − | 9256.67i | 0.835159 | − | 1.19726i | ||||
\(392\) | −6694.75 | − | 429.817i | −0.862592 | − | 0.0553802i | ||||
\(393\) | 539.208 | 0.0692098 | ||||||||
\(394\) | 11347.9 | + | 5610.22i | 1.45101 | + | 0.717358i | ||||
\(395\) | 14269.4 | 1.81765 | ||||||||
\(396\) | −6590.11 | − | 423.099i | −0.836276 | − | 0.0536907i | ||||
\(397\) | 6298.64 | − | 9029.57i | 0.796271 | − | 1.14151i | −0.190863 | − | 0.981617i | \(-0.561128\pi\) |
0.987134 | − | 0.159898i | \(-0.0511164\pi\) | |||||||
\(398\) | −1793.40 | − | 231.233i | −0.225867 | − | 0.0291223i | ||||
\(399\) | 7469.76 | − | 4862.27i | 0.937232 | − | 0.610071i | ||||
\(400\) | 28.6162 | − | 35.8836i | 0.00357702 | − | 0.00448545i | ||||
\(401\) | −5932.80 | + | 380.898i | −0.738827 | + | 0.0474343i | −0.428933 | − | 0.903337i | \(-0.641110\pi\) |
−0.309895 | + | 0.950771i | \(0.600294\pi\) | |||||||
\(402\) | −10073.7 | − | 1961.85i | −1.24983 | − | 0.243404i | ||||
\(403\) | −1318.02 | − | 3581.47i | −0.162916 | − | 0.442694i | ||||
\(404\) | −12089.8 | + | 6808.87i | −1.48884 | + | 0.838499i | ||||
\(405\) | 2133.90 | − | 7189.82i | 0.261813 | − | 0.882136i | ||||
\(406\) | −21477.9 | + | 23649.6i | −2.62545 | + | 2.89091i | ||||
\(407\) | −127.986 | + | 3991.07i | −0.0155873 | + | 0.486069i | ||||
\(408\) | 10543.3 | 1.27934 | ||||||||
\(409\) | −319.293 | + | 9956.75i | −0.0386016 | + | 1.20374i | 0.778650 | + | 0.627458i | \(0.215905\pi\) |
−0.817252 | + | 0.576281i | \(0.804503\pi\) | |||||||
\(410\) | 32588.1 | + | 8545.61i | 3.92540 | + | 1.02936i | ||||
\(411\) | 2476.36 | + | 2398.22i | 0.297202 | + | 0.287824i | ||||
\(412\) | −5454.93 | − | 18379.5i | −0.652295 | − | 2.19780i | ||||
\(413\) | 11563.5 | + | 5568.69i | 1.37773 | + | 0.663480i | ||||
\(414\) | 3538.41 | − | 1704.01i | 0.420056 | − | 0.202288i | ||||
\(415\) | −7867.63 | + | 12978.5i | −0.930619 | + | 1.53515i | ||||
\(416\) | −2741.72 | + | 7450.15i | −0.323135 | + | 0.878062i | ||||
\(417\) | 328.434 | + | 2031.48i | 0.0385696 | + | 0.238566i | ||||
\(418\) | −16751.2 | + | 16222.6i | −1.96011 | + | 1.89826i | ||||
\(419\) | −889.671 | + | 2009.78i | −0.103731 | + | 0.234330i | −0.958741 | − | 0.284282i | \(-0.908245\pi\) |
0.855010 | + | 0.518612i | \(0.173551\pi\) | |||||||
\(420\) | −2309.03 | + | 23935.5i | −0.268259 | + | 2.78079i | ||||
\(421\) | 11788.6 | + | 3091.32i | 1.36470 | + | 0.357867i | 0.862138 | − | 0.506674i | \(-0.169125\pi\) |
0.502563 | + | 0.864541i | \(0.332390\pi\) | |||||||
\(422\) | −1879.13 | − | 120.644i | −0.216765 | − | 0.0139168i | ||||
\(423\) | 78.8946 | − | 86.8717i | 0.00906852 | − | 0.00998545i | ||||
\(424\) | −293.081 | + | 3038.09i | −0.0335690 | + | 0.347978i | ||||
\(425\) | −15910.6 | + | 6441.49i | −1.81595 | + | 0.735196i | ||||
\(426\) | −12118.3 | − | 4023.54i | −1.37824 | − | 0.457608i | ||||
\(427\) | −1438.81 | − | 1804.20i | −0.163065 | − | 0.204477i | ||||
\(428\) | 3686.49 | + | 4059.23i | 0.416339 | + | 0.458436i | ||||
\(429\) | −9615.22 | + | 7176.03i | −1.08212 | + | 0.807603i | ||||
\(430\) | −3354.98 | − | 14699.1i | −0.376259 | − | 1.64850i | ||||
\(431\) | −1748.16 | + | 458.421i | −0.195373 | + | 0.0512328i | −0.350044 | − | 0.936733i | \(-0.613833\pi\) |
0.154671 | + | 0.987966i | \(0.450568\pi\) | |||||||
\(432\) | 37.9897 | + | 21.3954i | 0.00423097 | + | 0.00238284i | ||||
\(433\) | 8338.83 | + | 6223.43i | 0.925493 | + | 0.690713i | 0.951075 | − | 0.308959i | \(-0.0999807\pi\) |
−0.0255821 | + | 0.999673i | \(0.508144\pi\) | |||||||
\(434\) | −9296.88 | + | 3763.89i | −1.02826 | + | 0.416296i | ||||
\(435\) | 14568.2 | + | 14108.5i | 1.60573 | + | 1.55506i | ||||
\(436\) | 16677.9 | − | 23909.0i | 1.83194 | − | 2.62623i | ||||
\(437\) | 2439.85 | − | 8220.66i | 0.267080 | − | 0.899880i | ||||
\(438\) | −9796.80 | + | 22131.2i | −1.06874 | + | 2.41431i | ||||
\(439\) | 7435.22 | + | 5549.05i | 0.808345 | + | 0.603284i | 0.920650 | − | 0.390390i | \(-0.127660\pi\) |
−0.112304 | + | 0.993674i | \(0.535823\pi\) | |||||||
\(440\) | −2312.12 | − | 23967.6i | −0.250514 | − | 2.59684i | ||||
\(441\) | 1109.74 | + | 2127.17i | 0.119829 | + | 0.229691i | ||||
\(442\) | −16395.6 | + | 13957.8i | −1.76438 | + | 1.50204i | ||||
\(443\) | −7337.34 | + | 946.046i | −0.786925 | + | 0.101463i | −0.510846 | − | 0.859672i | \(-0.670668\pi\) |
−0.276079 | + | 0.961135i | \(0.589035\pi\) | |||||||
\(444\) | 1657.78 | − | 3177.66i | 0.177196 | − | 0.339651i | ||||
\(445\) | 5716.76 | − | 1113.34i | 0.608990 | − | 0.118601i | ||||
\(446\) | −3626.91 | + | 22433.7i | −0.385065 | + | 2.38176i | ||||
\(447\) | −152.304 | − | 1578.79i | −0.0161157 | − | 0.167057i | ||||
\(448\) | 19856.0 | + | 6592.65i | 2.09399 | + | 0.695253i | ||||
\(449\) | −2046.36 | − | 6894.86i | −0.215086 | − | 0.724697i | −0.995095 | − | 0.0989277i | \(-0.968459\pi\) |
0.780008 | − | 0.625769i | \(-0.215215\pi\) | |||||||
\(450\) | −5923.99 | − | 763.814i | −0.620577 | − | 0.0800145i | ||||
\(451\) | 23801.2 | − | 13404.6i | 2.48504 | − | 1.39955i | ||||
\(452\) | 1830.49 | − | 1772.73i | 0.190485 | − | 0.184474i | ||||
\(453\) | 325.157 | + | 183.125i | 0.0337245 | + | 0.0189933i | ||||
\(454\) | −510.118 | + | 3155.26i | −0.0527336 | + | 0.326176i | ||||
\(455\) | −10753.2 | − | 15415.5i | −1.10795 | − | 1.58833i | ||||
\(456\) | 7602.53 | − | 2524.21i | 0.780748 | − | 0.259226i | ||||
\(457\) | 467.161 | + | 1055.32i | 0.0478181 | + | 0.108022i | 0.936725 | − | 0.350066i | \(-0.113841\pi\) |
−0.888907 | + | 0.458088i | \(0.848535\pi\) | |||||||
\(458\) | −9774.86 | − | 3957.40i | −0.997269 | − | 0.403750i | ||||
\(459\) | −8453.01 | − | 13944.1i | −0.859592 | − | 1.41799i | ||||
\(460\) | 13236.1 | + | 18974.9i | 1.34160 | + | 1.92328i | ||||
\(461\) | 3854.72 | + | 7388.77i | 0.389441 | + | 0.746485i | 0.998927 | − | 0.0463117i | \(-0.0147468\pi\) |
−0.609486 | + | 0.792797i | \(0.708624\pi\) | |||||||
\(462\) | 19660.1 | + | 24653.0i | 1.97981 | + | 2.48260i | ||||
\(463\) | 1170.43 | + | 563.650i | 0.117483 | + | 0.0565767i | 0.491702 | − | 0.870764i | \(-0.336375\pi\) |
−0.374219 | + | 0.927340i | \(0.622089\pi\) | |||||||
\(464\) | −66.1305 | + | 43.0462i | −0.00661644 | + | 0.00430683i | ||||
\(465\) | 2198.96 | + | 5975.28i | 0.219299 | + | 0.595907i | ||||
\(466\) | 1373.43 | + | 8495.16i | 0.136530 | + | 0.844487i | ||||
\(467\) | −14188.5 | + | 3720.66i | −1.40592 | + | 0.368676i | −0.877202 | − | 0.480121i | \(-0.840593\pi\) |
−0.528719 | + | 0.848797i | \(0.677327\pi\) | |||||||
\(468\) | −4547.46 | + | 885.618i | −0.449159 | + | 0.0874738i | ||||
\(469\) | −6757.75 | − | 11147.6i | −0.665339 | − | 1.09755i | ||||
\(470\) | 936.987 | + | 609.911i | 0.0919575 | + | 0.0598577i | ||||
\(471\) | −2747.18 | + | 12036.2i | −0.268754 | + | 1.17749i | ||||
\(472\) | 8783.51 | + | 7477.51i | 0.856554 | + | 0.729195i | ||||
\(473\) | −10245.4 | − | 6669.01i | −0.995949 | − | 0.648291i | ||||
\(474\) | −15939.3 | + | 5292.20i | −1.54455 | + | 0.512825i | ||||
\(475\) | −9930.57 | + | 8454.02i | −0.959255 | + | 0.816625i | ||||
\(476\) | 23524.6 | + | 25903.2i | 2.26523 | + | 2.49427i | ||||
\(477\) | 983.487 | − | 473.622i | 0.0944041 | − | 0.0454626i | ||||
\(478\) | −9976.14 | + | 12509.7i | −0.954598 | + | 1.19703i | ||||
\(479\) | 819.679 | + | 159.632i | 0.0781881 | + | 0.0152271i | 0.230101 | − | 0.973167i | \(-0.426094\pi\) |
−0.151913 | + | 0.988394i | \(0.548543\pi\) | |||||||
\(480\) | 4574.25 | − | 12429.7i | 0.434969 | − | 1.18195i | ||||
\(481\) | 623.376 | + | 2731.19i | 0.0590925 | + | 0.258901i | ||||
\(482\) | 14357.5 | − | 27520.7i | 1.35678 | − | 2.60069i | ||||
\(483\) | −10748.0 | − | 4351.37i | −1.01253 | − | 0.409926i | ||||
\(484\) | −25707.4 | − | 21885.0i | −2.41429 | − | 2.05532i | ||||
\(485\) | −223.175 | − | 6959.43i | −0.0208946 | − | 0.651570i | ||||
\(486\) | −321.676 | − | 10031.0i | −0.0300237 | − | 0.936249i | ||||
\(487\) | 502.588 | − | 2201.98i | 0.0467648 | − | 0.204890i | −0.946148 | − | 0.323734i | \(-0.895062\pi\) |
0.992913 | + | 0.118844i | \(0.0379189\pi\) | |||||||
\(488\) | −839.546 | − | 1896.55i | −0.0778780 | − | 0.175928i | ||||
\(489\) | 721.582 | − | 93.0377i | 0.0667302 | − | 0.00860391i | ||||
\(490\) | −18318.5 | + | 13671.5i | −1.68887 | + | 1.26044i | ||||
\(491\) | −4343.86 | + | 7165.65i | −0.399258 | + | 0.658618i | −0.988821 | − | 0.149104i | \(-0.952361\pi\) |
0.589563 | + | 0.807722i | \(0.299300\pi\) | |||||||
\(492\) | −24467.8 | + | 1570.89i | −2.24206 | + | 0.143945i | ||||
\(493\) | 29449.8 | − | 1890.74i | 2.69037 | − | 0.172727i | ||||
\(494\) | −8480.77 | + | 13989.9i | −0.772405 | + | 1.27416i | ||||
\(495\) | −6901.42 | + | 5150.66i | −0.626658 | + | 0.467687i | ||||
\(496\) | −24.5697 | + | 3.16791i | −0.00222422 | + | 0.000286781i | ||||
\(497\) | −6565.11 | − | 14830.7i | −0.592526 | − | 1.33853i | ||||
\(498\) | 3974.91 | − | 17415.2i | 0.357671 | − | 1.56706i | ||||
\(499\) | −13.0621 | − | 407.326i | −0.00117183 | − | 0.0365419i | 0.998733 | − | 0.0503172i | \(-0.0160232\pi\) |
−0.999905 | + | 0.0137753i | \(0.995615\pi\) | |||||||
\(500\) | −250.204 | − | 7802.27i | −0.0223789 | − | 0.697856i | ||||
\(501\) | −603.595 | − | 513.848i | −0.0538257 | − | 0.0458225i | ||||
\(502\) | 12468.7 | + | 5048.03i | 1.10858 | + | 0.448814i | ||||
\(503\) | −366.804 | + | 703.095i | −0.0325149 | + | 0.0623250i | −0.902309 | − | 0.431090i | \(-0.858129\pi\) |
0.869794 | + | 0.493415i | \(0.164252\pi\) | |||||||
\(504\) | 1036.97 | + | 4543.27i | 0.0916477 | + | 0.401535i | ||||
\(505\) | −6249.10 | + | 16980.8i | −0.550656 | + | 1.49631i | ||||
\(506\) | 29778.0 | + | 5799.27i | 2.61619 | + | 0.509504i | ||||
\(507\) | 703.640 | − | 882.336i | 0.0616365 | − | 0.0772898i | ||||
\(508\) | 8198.07 | − | 3947.98i | 0.716005 | − | 0.344810i | ||||
\(509\) | 9156.86 | + | 10082.7i | 0.797388 | + | 0.878013i | 0.994752 | − | 0.102317i | \(-0.0326257\pi\) |
−0.197364 | + | 0.980330i | \(0.563238\pi\) | |||||||
\(510\) | 27354.1 | − | 23286.9i | 2.37502 | − | 2.02189i | ||||
\(511\) | −29175.9 | + | 9687.07i | −2.52577 | + | 0.838612i | ||||
\(512\) | 86.6912 | + | 56.4297i | 0.00748290 | + | 0.00487083i | ||||
\(513\) | −9433.67 | − | 8031.00i | −0.811904 | − | 0.691184i | ||||
\(514\) | 3964.49 | − | 17369.6i | 0.340207 | − | 1.49054i | ||||
\(515\) | −20953.2 | − | 13639.0i | −1.79283 | − | 1.16701i | ||||
\(516\) | 5688.07 | + | 9383.07i | 0.485278 | + | 0.800517i | ||||
\(517\) | 889.777 | − | 173.284i | 0.0756912 | − | 0.0147409i | ||||
\(518\) | 7121.85 | − | 1867.57i | 0.604085 | − | 0.158410i | ||||
\(519\) | −422.169 | − | 2611.27i | −0.0357055 | − | 0.220851i | ||||
\(520\) | −5834.19 | − | 15853.4i | −0.492012 | − | 1.33696i | ||||
\(521\) | 14767.6 | − | 9612.65i | 1.24181 | − | 0.808326i | 0.254487 | − | 0.967076i | \(-0.418093\pi\) |
0.987319 | + | 0.158750i | \(0.0507465\pi\) | |||||||
\(522\) | 9251.96 | + | 4455.51i | 0.775761 | + | 0.373587i | ||||
\(523\) | −956.880 | − | 1199.89i | −0.0800027 | − | 0.100320i | 0.740219 | − | 0.672365i | \(-0.234722\pi\) |
−0.820222 | + | 0.572045i | \(0.806150\pi\) | |||||||
\(524\) | 743.935 | + | 1425.98i | 0.0620209 | + | 0.118882i | ||||
\(525\) | 10089.4 | + | 14464.0i | 0.838741 | + | 1.20240i | ||||
\(526\) | −3898.37 | − | 6430.78i | −0.323151 | − | 0.533071i | ||||
\(527\) | 8587.85 | + | 3476.83i | 0.709853 | + | 0.287388i | ||||
\(528\) | 31.5256 | + | 71.2169i | 0.00259844 | + | 0.00586992i | ||||
\(529\) | 959.509 | − | 318.579i | 0.0788616 | − | 0.0261839i | ||||
\(530\) | 5949.82 | + | 8529.51i | 0.487630 | + | 0.699054i | ||||
\(531\) | 658.427 | − | 4072.60i | 0.0538104 | − | 0.332836i | ||||
\(532\) | 23164.6 | + | 13046.1i | 1.88781 | + | 1.06319i | ||||
\(533\) | 13766.5 | − | 13332.1i | 1.11875 | − | 1.08345i | ||||
\(534\) | −5972.85 | + | 3363.85i | −0.484027 | + | 0.272599i | ||||
\(535\) | 7091.94 | + | 914.404i | 0.573105 | + | 0.0738937i | ||||
\(536\) | −3333.63 | − | 11232.1i | −0.268639 | − | 0.905136i | ||||
\(537\) | 7570.48 | + | 2513.57i | 0.608362 | + | 0.201990i | ||||
\(538\) | −481.011 | − | 4986.18i | −0.0385462 | − | 0.399572i | ||||
\(539\) | −2957.93 | + | 18295.8i | −0.236377 | + | 1.46207i | ||||
\(540\) | 32809.1 | − | 6389.58i | 2.61459 | − | 0.509192i | ||||
\(541\) | 7260.01 | − | 13916.1i | 0.576954 | − | 1.10591i | −0.404558 | − | 0.914512i | \(-0.632575\pi\) |
0.981512 | − | 0.191400i | \(-0.0613029\pi\) | |||||||
\(542\) | 20354.9 | − | 2624.47i | 1.61313 | − | 0.207990i | ||||
\(543\) | −12763.1 | + | 10865.4i | −1.00868 | + | 0.858706i | ||||
\(544\) | −8914.45 | − | 17087.3i | −0.702581 | − | 1.34672i | ||||
\(545\) | −3650.30 | − | 37839.1i | −0.286902 | − | 2.97404i | ||||
\(546\) | 17728.9 | + | 13231.4i | 1.38961 | + | 1.03709i | ||||
\(547\) | −9988.83 | + | 22564.9i | −0.780789 | + | 1.76381i | −0.148755 | + | 0.988874i | \(0.547527\pi\) |
−0.632034 | + | 0.774941i | \(0.717780\pi\) | |||||||
\(548\) | −2925.73 | + | 9857.74i | −0.228067 | + | 0.768434i | ||||
\(549\) | −424.378 | + | 608.378i | −0.0329909 | + | 0.0472950i | ||||
\(550\) | −33144.5 | − | 32098.6i | −2.56961 | − | 2.48853i | ||||
\(551\) | 20782.9 | − | 8414.05i | 1.60686 | − | 0.650546i | ||||
\(552\) | −8352.03 | − | 6233.28i | −0.643996 | − | 0.480627i | ||||
\(553\) | −18587.7 | − | 10468.4i | −1.42934 | − | 0.804992i | ||||
\(554\) | −29856.2 | + | 7829.21i | −2.28965 | + | 0.600417i | ||||
\(555\) | −1040.03 | − | 4556.68i | −0.0795439 | − | 0.348505i | ||||
\(556\) | −4919.31 | + | 3671.37i | −0.375225 | + | 0.280038i | ||||
\(557\) | 5908.78 | + | 6506.22i | 0.449485 | + | 0.494933i | 0.922433 | − | 0.386158i | \(-0.126198\pi\) |
−0.472948 | + | 0.881090i | \(0.656810\pi\) | |||||||
\(558\) | 2010.12 | + | 2520.61i | 0.152500 | + | 0.191229i | ||||
\(559\) | −8139.50 | − | 2702.50i | −0.615857 | − | 0.204479i | ||||
\(560\) | −113.092 | + | 45.7859i | −0.00853394 | + | 0.00345501i | ||||
\(561\) | 2796.92 | − | 28993.0i | 0.210492 | − | 2.18197i | ||||
\(562\) | −12871.1 | + | 14172.5i | −0.966075 | + | 1.06376i | ||||
\(563\) | −500.728 | − | 32.1478i | −0.0374834 | − | 0.00240652i | 0.0453172 | − | 0.998973i | \(-0.485570\pi\) |
−0.0828006 | + | 0.996566i | \(0.526386\pi\) | |||||||
\(564\) | −787.029 | − | 206.383i | −0.0587587 | − | 0.0154083i | ||||
\(565\) | 319.082 | − | 3307.62i | 0.0237591 | − | 0.246288i | ||||
\(566\) | 1847.04 | − | 4172.51i | 0.137168 | − | 0.309865i | ||||
\(567\) | −8054.29 | + | 7800.14i | −0.596558 | + | 0.577734i | ||||
\(568\) | −2326.49 | − | 14390.2i | −0.171861 | − | 1.06302i | ||||
\(569\) | −7387.37 | + | 20073.9i | −0.544279 | + | 1.47898i | 0.305680 | + | 0.952134i | \(0.401116\pi\) |
−0.849959 | + | 0.526848i | \(0.823374\pi\) | |||||||
\(570\) | 14149.2 | − | 23340.6i | 1.03973 | − | 1.71514i | ||||
\(571\) | −12764.4 | + | 6146.99i | −0.935502 | + | 0.450514i | −0.838580 | − | 0.544778i | \(-0.816614\pi\) |
−0.0969218 | + | 0.995292i | \(0.530900\pi\) | |||||||
\(572\) | −32243.6 | − | 15527.7i | −2.35695 | − | 1.13504i | ||||
\(573\) | 5313.97 | + | 17904.5i | 0.387424 | + | 1.30536i | ||||
\(574\) | −36180.8 | − | 35039.1i | −2.63094 | − | 2.54792i | ||||
\(575\) | 16412.1 | + | 4303.75i | 1.19031 | + | 0.312137i | ||||
\(576\) | 215.549 | − | 6721.60i | 0.0155924 | − | 0.486227i | ||||
\(577\) | 2181.00 | 0.157359 | 0.0786796 | − | 0.996900i | \(-0.474930\pi\) | ||||
0.0786796 | + | 0.996900i | \(0.474930\pi\) | |||||||
\(578\) | 954.546 | − | 29766.2i | 0.0686918 | − | 2.14206i | ||||
\(579\) | −6499.17 | + | 7156.30i | −0.466487 | + | 0.513654i | ||||
\(580\) | −17211.8 | + | 57992.2i | −1.23221 | + | 4.15171i | ||||
\(581\) | 19769.9 | − | 11134.2i | 1.41169 | − | 0.795050i | ||||
\(582\) | 2830.39 | + | 7691.08i | 0.201587 | + | 0.547776i | ||||
\(583\) | 8276.68 | + | 1611.88i | 0.587968 | + | 0.114507i | ||||
\(584\) | −27573.3 | + | 1770.26i | −1.95375 | + | 0.125435i | ||||
\(585\) | −3766.85 | + | 4723.48i | −0.266222 | + | 0.333832i | ||||
\(586\) | −16368.8 | + | 10654.9i | −1.15391 | + | 0.751111i | ||||
\(587\) | −6516.09 | − | 840.157i | −0.458173 | − | 0.0590749i | −0.104668 | − | 0.994507i | \(-0.533378\pi\) |
−0.353506 | + | 0.935432i | \(0.615011\pi\) | |||||||
\(588\) | 9517.15 | − | 13643.5i | 0.667484 | − | 0.956888i | ||||
\(589\) | 7024.89 | + | 451.013i | 0.491436 | + | 0.0315512i | ||||
\(590\) | 39303.9 | 2.74257 | ||||||||
\(591\) | −10135.9 | + | 6449.43i | −0.705475 | + | 0.448890i | ||||
\(592\) | 18.1852 | 0.00126251 | ||||||||
\(593\) | 10763.2 | + | 691.022i | 0.745350 | + | 0.0478531i | 0.432110 | − | 0.901821i | \(-0.357769\pi\) |
0.313240 | + | 0.949674i | \(0.398586\pi\) | |||||||
\(594\) | 25076.5 | − | 35949.0i | 1.73216 | − | 2.48318i | ||||
\(595\) | 45255.8 | + | 5835.09i | 3.11816 | + | 0.402043i | ||||
\(596\) | 3965.13 | − | 2581.01i | 0.272513 | − | 0.177386i | ||||
\(597\) | 1069.97 | − | 1341.70i | 0.0733515 | − | 0.0919798i | ||||
\(598\) | 21239.9 | − | 1363.65i | 1.45245 | − | 0.0932503i | ||||
\(599\) | −13145.8 | − | 2560.15i | −0.896702 | − | 0.174633i | −0.278299 | − | 0.960494i | \(-0.589771\pi\) |
−0.618402 | + | 0.785862i | \(0.712220\pi\) | |||||||
\(600\) | 5474.07 | + | 14874.8i | 0.372463 | + | 1.01210i | ||||
\(601\) | −1838.69 | + | 1035.53i | −0.124795 | + | 0.0702831i | −0.551855 | − | 0.833940i | \(-0.686080\pi\) |
0.427060 | + | 0.904223i | \(0.359549\pi\) | |||||||
\(602\) | −6413.35 | + | 21608.7i | −0.434200 | + | 1.46296i | ||||
\(603\) | −2817.10 | + | 3101.94i | −0.190251 | + | 0.209487i | ||||
\(604\) | −35.6777 | + | 1112.56i | −0.00240348 | + | 0.0749495i | ||||
\(605\) | −44026.6 | −2.95857 | ||||||||
\(606\) | 682.589 | − | 21285.6i | 0.0457563 | − | 1.42685i | ||||
\(607\) | 24796.6 | + | 6502.44i | 1.65810 | + | 0.434804i | 0.959727 | − | 0.280934i | \(-0.0906441\pi\) |
0.698369 | + | 0.715738i | \(0.253909\pi\) | |||||||
\(608\) | −10518.9 | − | 10187.0i | −0.701644 | − | 0.679504i | ||||
\(609\) | −8626.53 | − | 29065.7i | −0.573998 | − | 1.93399i | ||||
\(610\) | −6367.06 | − | 3066.21i | −0.422614 | − | 0.203520i | ||||
\(611\) | 572.982 | − | 275.934i | 0.0379384 | − | 0.0182702i | ||||
\(612\) | 5830.60 | − | 9618.18i | 0.385111 | − | 0.635281i | ||||
\(613\) | 534.722 | − | 1453.01i | 0.0352320 | − | 0.0957368i | −0.919631 | − | 0.392784i | \(-0.871512\pi\) |
0.954863 | + | 0.297047i | \(0.0960018\pi\) | |||||||
\(614\) | −2176.30 | − | 13461.2i | −0.143043 | − | 0.884771i | ||||
\(615\) | −22967.8 | + | 22243.1i | −1.50594 | + | 1.45842i | ||||
\(616\) | −14571.4 | + | 32916.9i | −0.953079 | + | 2.15302i | ||||
\(617\) | 781.149 | − | 8097.42i | 0.0509690 | − | 0.528347i | −0.934199 | − | 0.356753i | \(-0.883884\pi\) |
0.985168 | − | 0.171594i | \(-0.0548917\pi\) | |||||||
\(618\) | 28463.7 | + | 7464.06i | 1.85271 | + | 0.485839i | ||||
\(619\) | −15536.6 | − | 997.480i | −1.00883 | − | 0.0647691i | −0.449133 | − | 0.893465i | \(-0.648267\pi\) |
−0.559699 | + | 0.828696i | \(0.689083\pi\) | |||||||
\(620\) | −12768.3 | + | 14059.3i | −0.827076 | + | 0.910703i | ||||
\(621\) | −1547.70 | + | 16043.5i | −0.100011 | + | 1.03672i | ||||
\(622\) | 16979.6 | − | 6874.26i | 1.09456 | − | 0.443139i | ||||
\(623\) | −8263.56 | − | 2743.69i | −0.531416 | − | 0.176442i | ||||
\(624\) | 34.0672 | + | 42.7190i | 0.00218555 | + | 0.00274059i | ||||
\(625\) | 6655.80 | + | 7328.77i | 0.425971 | + | 0.469042i | ||||
\(626\) | −13945.6 | + | 10407.9i | −0.890379 | + | 0.664507i | ||||
\(627\) | −4924.53 | − | 21575.8i | −0.313663 | − | 1.37425i | ||||
\(628\) | −35621.0 | + | 9340.91i | −2.26342 | + | 0.593540i | ||||
\(629\) | −5925.95 | − | 3337.43i | −0.375649 | − | 0.211561i | ||||
\(630\) | 12725.1 | + | 9496.96i | 0.804728 | + | 0.600584i | ||||
\(631\) | −5985.70 | + | 2423.34i | −0.377634 | + | 0.152887i | −0.556216 | − | 0.831038i | \(-0.687747\pi\) |
0.178582 | + | 0.983925i | \(0.442849\pi\) | |||||||
\(632\) | −13773.1 | − | 13338.5i | −0.866876 | − | 0.839523i | ||||
\(633\) | 1022.39 | − | 1465.68i | 0.0641967 | − | 0.0920308i | ||||
\(634\) | 10859.9 | − | 36590.7i | 0.680289 | − | 2.29212i | ||||
\(635\) | 4803.09 | − | 10850.3i | 0.300165 | − | 0.678078i | ||||
\(636\) | −6065.46 | − | 4526.77i | −0.378162 | − | 0.282230i | ||||
\(637\) | 1248.52 | + | 12942.3i | 0.0776583 | + | 0.805010i | ||||
\(638\) | 36690.4 | + | 70328.7i | 2.27678 | + | 4.36417i | ||||
\(639\) | −3969.66 | + | 3379.42i | −0.245755 | + | 0.209214i | ||||
\(640\) | 39357.9 | − | 5074.64i | 2.43087 | − | 0.313426i | ||||
\(641\) | −4704.43 | + | 9017.51i | −0.289881 | + | 0.555648i | −0.986886 | − | 0.161419i | \(-0.948393\pi\) |
0.697005 | + | 0.717066i | \(0.254515\pi\) | |||||||
\(642\) | −8261.00 | + | 1608.83i | −0.507844 | + | 0.0989025i | ||||
\(643\) | 4263.54 | − | 26371.5i | 0.261489 | − | 1.61740i | −0.435408 | − | 0.900233i | \(-0.643396\pi\) |
0.696898 | − | 0.717171i | \(-0.254563\pi\) | |||||||
\(644\) | −3321.18 | − | 34427.5i | −0.203219 | − | 2.10657i | ||||
\(645\) | 13579.8 | + | 4508.81i | 0.829000 | + | 0.275247i | ||||
\(646\) | −11300.6 | − | 38075.6i | −0.688262 | − | 2.31898i | ||||
\(647\) | 7296.45 | + | 940.773i | 0.443359 | + | 0.0571648i | 0.346321 | − | 0.938116i | \(-0.387431\pi\) |
0.0970374 | + | 0.995281i | \(0.469063\pi\) | |||||||
\(648\) | −8780.47 | + | 4945.07i | −0.532299 | + | 0.299785i | ||||
\(649\) | 22892.4 | − | 22170.1i | 1.38460 | − | 1.34091i | ||||
\(650\) | −28204.6 | − | 15884.5i | −1.70196 | − | 0.958526i | ||||
\(651\) | 1519.19 | − | 9396.74i | 0.0914621 | − | 0.565726i | ||||
\(652\) | 1241.60 | + | 1779.93i | 0.0745779 | + | 0.106913i | ||||
\(653\) | −18201.3 | + | 6043.25i | −1.09077 | + | 0.362160i | −0.803267 | − | 0.595619i | \(-0.796907\pi\) |
−0.287503 | + | 0.957780i | \(0.592825\pi\) | |||||||
\(654\) | 18111.2 | + | 40913.4i | 1.08288 | + | 2.44624i | ||||
\(655\) | 1944.12 | + | 787.089i | 0.115974 | + | 0.0469528i | ||||
\(656\) | −64.4888 | − | 106.381i | −0.00383821 | − | 0.00633153i | ||||
\(657\) | 5653.44 | + | 8104.63i | 0.335710 | + | 0.481266i | ||||
\(658\) | −773.096 | − | 1481.88i | −0.0458031 | − | 0.0877959i | ||||
\(659\) | 8402.10 | + | 10535.9i | 0.496661 | + | 0.622793i | 0.965472 | − | 0.260505i | \(-0.0838891\pi\) |
−0.468812 | + | 0.883298i | \(0.655318\pi\) | |||||||
\(660\) | 53794.7 | + | 25906.2i | 3.17266 | + | 1.52787i | ||||
\(661\) | −21773.0 | + | 14172.6i | −1.28120 | + | 0.833967i | −0.992356 | − | 0.123411i | \(-0.960617\pi\) |
−0.288841 | + | 0.957377i | \(0.593270\pi\) | |||||||
\(662\) | −477.581 | − | 1297.74i | −0.0280389 | − | 0.0761906i | ||||
\(663\) | −3261.40 | − | 20172.9i | −0.191044 | − | 1.18167i | ||||
\(664\) | 19725.8 | − | 5172.72i | 1.15288 | − | 0.302320i | ||||
\(665\) | 34029.9 | − | 6627.32i | 1.98439 | − | 0.386461i | ||||
\(666\) | −1226.84 | − | 2023.80i | −0.0713801 | − | 0.117749i | ||||
\(667\) | −24446.9 | − | 15913.2i | −1.41917 | − | 0.923778i | ||||
\(668\) | 526.149 | − | 2305.21i | 0.0304750 | − | 0.133520i | ||||
\(669\) | −16422.0 | − | 13980.3i | −0.949046 | − | 0.807935i | ||||
\(670\) | −33457.2 | − | 21778.2i | −1.92920 | − | 1.25577i | ||||
\(671\) | −5438.02 | + | 1805.55i | −0.312865 | + | 0.103878i | ||||
\(672\) | −15077.3 | + | 12835.5i | −0.865503 | + | 0.736814i | ||||
\(673\) | 3690.42 | + | 4063.57i | 0.211375 | + | 0.232747i | 0.836761 | − | 0.547568i | \(-0.184446\pi\) |
−0.625386 | + | 0.780315i | \(0.715059\pi\) | |||||||
\(674\) | 21796.4 | − | 10496.6i | 1.24565 | − | 0.599873i | ||||
\(675\) | 15284.0 | − | 19165.5i | 0.871527 | − | 1.09286i | ||||
\(676\) | 3304.22 | + | 643.496i | 0.187996 | + | 0.0366122i | ||||
\(677\) | 294.538 | − | 800.356i | 0.0167209 | − | 0.0454360i | −0.929833 | − | 0.367982i | \(-0.880049\pi\) |
0.946554 | + | 0.322546i | \(0.104539\pi\) | |||||||
\(678\) | 870.301 | + | 3813.04i | 0.0492975 | + | 0.215986i | ||||
\(679\) | −4814.89 | + | 9229.24i | −0.272133 | + | 0.521629i | ||||
\(680\) | 38014.1 | + | 15390.2i | 2.14379 | + | 0.867923i | ||||
\(681\) | −2309.73 | − | 1966.30i | −0.129969 | − | 0.110644i | ||||
\(682\) | 798.220 | + | 24891.4i | 0.0448173 | + | 1.39757i | ||||
\(683\) | 633.044 | + | 19740.6i | 0.0354652 | + | 1.10594i | 0.850318 | + | 0.526269i | \(0.176409\pi\) |
−0.814853 | + | 0.579668i | \(0.803182\pi\) | |||||||
\(684\) | 1901.58 | − | 8331.36i | 0.106299 | − | 0.465728i | ||||
\(685\) | 5427.85 | + | 12261.6i | 0.302756 | + | 0.683930i | ||||
\(686\) | −5459.69 | + | 703.949i | −0.303866 | + | 0.0391791i | ||||
\(687\) | 8020.66 | − | 5985.98i | 0.445426 | − | 0.332430i | ||||
\(688\) | −28.8604 | + | 47.6083i | −0.00159926 | + | 0.00263815i | ||||
\(689\) | 5903.55 | − | 379.021i | 0.326426 | − | 0.0209572i | ||||
\(690\) | −35436.3 | + | 2275.09i | −1.95513 | + | 0.125523i | ||||
\(691\) | 10360.7 | − | 17091.1i | 0.570390 | − | 0.940919i | −0.428904 | − | 0.903350i | \(-0.641100\pi\) |
0.999294 | − | 0.0375683i | \(-0.0119612\pi\) | |||||||
\(692\) | 6323.27 | − | 4719.18i | 0.347362 | − | 0.259243i | ||||
\(693\) | 12768.6 | − | 1646.33i | 0.699912 | − | 0.0902437i | ||||
\(694\) | −9520.12 | − | 21506.1i | −0.520719 | − | 1.17631i | ||||
\(695\) | −1781.20 | + | 7803.97i | −0.0972158 | + | 0.425930i | ||||
\(696\) | −873.395 | − | 27235.7i | −0.0475660 | − | 1.48328i | ||||
\(697\) | 1491.21 | + | 46501.4i | 0.0810382 | + | 2.52707i | ||||
\(698\) | 23868.5 | + | 20319.5i | 1.29432 | + | 1.10187i | ||||
\(699\) | −7570.05 | − | 3064.77i | −0.409622 | − | 0.165838i | ||||
\(700\) | −24331.1 | + | 46638.1i | −1.31375 | + | 2.51822i | ||||
\(701\) | −1377.41 | − | 6034.81i | −0.0742139 | − | 0.325152i | 0.924170 | − | 0.381981i | \(-0.124758\pi\) |
−0.998384 | + | 0.0568290i | \(0.981901\pi\) | |||||||
\(702\) | 10620.1 | − | 28858.2i | 0.570981 | − | 1.55154i | ||||
\(703\) | −5072.09 | − | 987.789i | −0.272116 | − | 0.0529945i | ||||
\(704\) | 32389.7 | − | 40615.4i | 1.73399 | − | 2.17436i | ||||
\(705\) | −955.955 | + | 460.364i | −0.0510686 | + | 0.0245933i | ||||
\(706\) | 7628.18 | + | 8399.48i | 0.406644 | + | 0.447760i | ||||
\(707\) | 20597.8 | − | 17535.1i | 1.09570 | − | 0.932781i | ||||
\(708\) | −27146.6 | + | 9013.29i | −1.44100 | + | 0.478446i | ||||
\(709\) | 11266.5 | + | 7333.69i | 0.596788 | + | 0.388466i | 0.808180 | − | 0.588935i | \(-0.200453\pi\) |
−0.211392 | + | 0.977401i | \(0.567800\pi\) | |||||||
\(710\) | −37819.4 | − | 32196.1i | −1.99906 | − | 1.70183i | ||||
\(711\) | −1525.86 | + | 6685.22i | −0.0804840 | + | 0.352624i | ||||
\(712\) | −6558.65 | − | 4269.21i | −0.345219 | − | 0.224712i | ||||
\(713\) | −4747.45 | − | 7831.42i | −0.249360 | − | 0.411345i | ||||
\(714\) | −52716.0 | + | 10266.4i | −2.76309 | + | 0.538111i | ||||
\(715\) | −45142.8 | + | 11837.8i | −2.36118 | + | 0.619175i | ||||
\(716\) | 3797.48 | + | 23488.8i | 0.198210 | + | 1.22600i | ||||
\(717\) | −5244.39 | − | 14250.7i | −0.273160 | − | 0.742263i | ||||
\(718\) | 29068.1 | − | 18921.3i | 1.51088 | − | 0.983475i | ||||
\(719\) | 13817.5 | + | 6654.15i | 0.716697 | + | 0.345143i | 0.756436 | − | 0.654067i | \(-0.226939\pi\) |
−0.0397399 | + | 0.999210i | \(0.512653\pi\) | |||||||
\(720\) | 24.4521 | + | 30.6619i | 0.00126566 | + | 0.00158709i | ||||
\(721\) | 17288.2 | + | 33138.3i | 0.892992 | + | 1.71170i | ||||
\(722\) | 701.240 | + | 1005.28i | 0.0361461 | + | 0.0518181i | ||||
\(723\) | 15271.2 | + | 25191.5i | 0.785537 | + | 1.29583i | ||||
\(724\) | −46343.4 | − | 18762.4i | −2.37892 | − | 0.963119i | ||||
\(725\) | 17957.8 | + | 40567.0i | 0.919911 | + | 2.07810i | ||||
\(726\) | 49178.8 | − | 16328.5i | 2.51404 | − | 0.834720i | ||||
\(727\) | −7279.55 | − | 10435.8i | −0.371367 | − | 0.532382i | 0.590090 | − | 0.807337i | \(-0.299092\pi\) |
−0.961457 | + | 0.274955i | \(0.911337\pi\) | |||||||
\(728\) | −4030.67 | + | 24931.1i | −0.205201 | + | 1.26924i | ||||
\(729\) | 18738.6 | + | 10553.4i | 0.952021 | + | 0.536168i | ||||
\(730\) | −67627.7 | + | 65493.7i | −3.42878 | + | 3.32059i | ||||
\(731\) | 18142.0 | − | 10217.4i | 0.917928 | − | 0.516967i | ||||
\(732\) | 5100.78 | + | 657.672i | 0.257555 | + | 0.0332080i | ||||
\(733\) | 4106.06 | + | 13834.7i | 0.206904 | + | 0.697129i | 0.996507 | + | 0.0835104i | \(0.0266132\pi\) |
−0.789603 | + | 0.613618i | \(0.789713\pi\) | |||||||
\(734\) | −12029.8 | − | 3994.16i | −0.604941 | − | 0.200854i | ||||
\(735\) | −2083.02 | − | 21592.7i | −0.104535 | − | 1.08362i | ||||
\(736\) | −3040.45 | + | 18806.3i | −0.152272 | + | 0.941859i | ||||
\(737\) | −31771.4 | + | 6187.48i | −1.58794 | + | 0.309252i | ||||
\(738\) | −7488.34 | + | 14353.7i | −0.373509 | + | 0.715947i | ||||
\(739\) | −12260.9 | + | 1580.87i | −0.610320 | + | 0.0786920i | −0.426833 | − | 0.904330i | \(-0.640371\pi\) |
−0.183486 | + | 0.983022i | \(0.558738\pi\) | |||||||
\(740\) | 10615.6 | − | 9037.22i | 0.527349 | − | 0.448939i | ||||
\(741\) | −7181.38 | − | 13765.4i | −0.356025 | − | 0.682434i | ||||
\(742\) | −1492.92 | − | 15475.7i | −0.0738636 | − | 0.765674i | ||||
\(743\) | −3258.78 | − | 2432.09i | −0.160906 | − | 0.120087i | 0.514636 | − | 0.857409i | \(-0.327927\pi\) |
−0.675542 | + | 0.737322i | \(0.736090\pi\) | |||||||
\(744\) | 3463.00 | − | 7822.97i | 0.170645 | − | 0.385489i | ||||
\(745\) | 1755.45 | − | 5914.68i | 0.0863283 | − | 0.290869i | ||||
\(746\) | 12438.2 | − | 17831.0i | 0.610447 | − | 0.875121i | ||||
\(747\) | −5239.12 | − | 5073.81i | −0.256612 | − | 0.248515i | ||||
\(748\) | 80533.4 | − | 32604.4i | 3.93662 | − | 1.59376i | ||||
\(749\) | −8567.29 | − | 6393.94i | −0.417947 | − | 0.311922i | ||||
\(750\) | 10439.7 | + | 5879.53i | 0.508272 | + | 0.286254i | ||||
\(751\) | 36590.2 | − | 9595.07i | 1.77789 | − | 0.466217i | 0.788939 | − | 0.614471i | \(-0.210631\pi\) |
0.988949 | + | 0.148254i | \(0.0473654\pi\) | |||||||
\(752\) | −0.918629 | − | 4.02478i | −4.45465e−5 | − | 0.000195171i | ||||
\(753\) | −10231.1 | + | 7635.66i | −0.495142 | + | 0.369534i | ||||
\(754\) | 37414.1 | + | 41197.1i | 1.80708 | + | 1.98980i | ||||
\(755\) | 905.050 | + | 1134.90i | 0.0436267 | + | 0.0547061i | ||||
\(756\) | −47425.5 | − | 15746.3i | −2.28155 | − | 0.757525i | ||||
\(757\) | −7779.09 | + | 3149.41i | −0.373495 | + | 0.151211i | −0.554320 | − | 0.832304i | \(-0.687021\pi\) |
0.180824 | + | 0.983515i | \(0.442123\pi\) | |||||||
\(758\) | 976.471 | − | 10122.1i | 0.0467903 | − | 0.485030i | ||||
\(759\) | −19356.5 | + | 21313.6i | −0.925686 | + | 1.01928i | ||||
\(760\) | 31095.7 | + | 1996.41i | 1.48416 | + | 0.0952860i | ||||
\(761\) | 12982.0 | + | 3404.27i | 0.618391 | + | 0.162161i | 0.549542 | − | 0.835466i | \(-0.314802\pi\) |
0.0688487 | + | 0.997627i | \(0.478067\pi\) | |||||||
\(762\) | −1341.05 | + | 13901.4i | −0.0637546 | + | 0.660884i | ||||
\(763\) | −23004.7 | + | 51968.1i | −1.09152 | + | 2.46575i | ||||
\(764\) | −40018.5 | + | 38755.8i | −1.89505 | + | 1.83526i | ||||
\(765\) | −2340.90 | − | 14479.3i | −0.110635 | − | 0.684314i | ||||