Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,4,Mod(59,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.59");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.m (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.08022920069\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 59.3 | ||
Character | \(\chi\) | \(=\) | 120.59 |
Dual form | 120.4.m.b.59.2 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.80496 | + | 0.363625i | −0.991702 | + | 0.128561i | ||||
\(3\) | 3.73183 | − | 3.61572i | 0.718191 | − | 0.695846i | ||||
\(4\) | 7.73555 | − | 2.03990i | 0.966944 | − | 0.254988i | ||||
\(5\) | −2.66357 | + | 10.8584i | −0.238237 | + | 0.971207i | ||||
\(6\) | −9.15285 | + | 11.4989i | −0.622773 | + | 0.782403i | ||||
\(7\) | −26.3409 | −1.42227 | −0.711137 | − | 0.703053i | \(-0.751819\pi\) | ||||
−0.711137 | + | 0.703053i | \(0.751819\pi\) | |||||||
\(8\) | −20.9561 | + | 8.53468i | −0.926139 | + | 0.377183i | ||||
\(9\) | 0.853113 | − | 26.9865i | 0.0315968 | − | 0.999501i | ||||
\(10\) | 3.52280 | − | 31.4259i | 0.111401 | − | 0.993776i | ||||
\(11\) | 37.4262i | 1.02586i | 0.858431 | + | 0.512928i | \(0.171439\pi\) | ||||
−0.858431 | + | 0.512928i | \(0.828561\pi\) | |||||||
\(12\) | 21.4921 | − | 35.5822i | 0.517018 | − | 0.855974i | ||||
\(13\) | −30.8736 | −0.658676 | −0.329338 | − | 0.944212i | \(-0.606826\pi\) | ||||
−0.329338 | + | 0.944212i | \(0.606826\pi\) | |||||||
\(14\) | 73.8850 | − | 9.57820i | 1.41047 | − | 0.182849i | ||||
\(15\) | 29.3211 | + | 50.1525i | 0.504711 | + | 0.863288i | ||||
\(16\) | 55.6776 | − | 31.5596i | 0.869962 | − | 0.493118i | ||||
\(17\) | −54.0168 | −0.770648 | −0.385324 | − | 0.922781i | \(-0.625910\pi\) | ||||
−0.385324 | + | 0.922781i | \(0.625910\pi\) | |||||||
\(18\) | 7.42002 | + | 76.0062i | 0.0971620 | + | 0.995269i | ||||
\(19\) | −4.70847 | −0.0568524 | −0.0284262 | − | 0.999596i | \(-0.509050\pi\) | ||||
−0.0284262 | + | 0.999596i | \(0.509050\pi\) | |||||||
\(20\) | 1.54596 | + | 89.4294i | 0.0172844 | + | 0.999851i | ||||
\(21\) | −98.2997 | + | 95.2413i | −1.02146 | + | 0.989684i | ||||
\(22\) | −13.6091 | − | 104.979i | −0.131885 | − | 1.01734i | ||||
\(23\) | 129.048i | 1.16993i | 0.811058 | + | 0.584966i | \(0.198892\pi\) | ||||
−0.811058 | + | 0.584966i | \(0.801108\pi\) | |||||||
\(24\) | −47.3457 | + | 107.621i | −0.402683 | + | 0.915339i | ||||
\(25\) | −110.811 | − | 57.8443i | −0.886486 | − | 0.462755i | ||||
\(26\) | 86.5990 | − | 11.2264i | 0.653210 | − | 0.0846799i | ||||
\(27\) | −94.3921 | − | 103.794i | −0.672806 | − | 0.739819i | ||||
\(28\) | −203.761 | + | 53.7329i | −1.37526 | + | 0.362663i | ||||
\(29\) | −230.566 | −1.47638 | −0.738191 | − | 0.674591i | \(-0.764320\pi\) | ||||
−0.738191 | + | 0.674591i | \(0.764320\pi\) | |||||||
\(30\) | −100.481 | − | 130.014i | −0.611508 | − | 0.791238i | ||||
\(31\) | 123.860i | 0.717610i | 0.933413 | + | 0.358805i | \(0.116816\pi\) | ||||
−0.933413 | + | 0.358805i | \(0.883184\pi\) | |||||||
\(32\) | −144.697 | + | 108.769i | −0.799347 | + | 0.600869i | ||||
\(33\) | 135.323 | + | 139.668i | 0.713838 | + | 0.736761i | ||||
\(34\) | 151.515 | − | 19.6419i | 0.764253 | − | 0.0990751i | ||||
\(35\) | 70.1608 | − | 286.021i | 0.338838 | − | 1.38132i | ||||
\(36\) | −48.4506 | − | 210.496i | −0.224308 | − | 0.974518i | ||||
\(37\) | 349.557 | 1.55316 | 0.776579 | − | 0.630020i | \(-0.216953\pi\) | ||||
0.776579 | + | 0.630020i | \(0.216953\pi\) | |||||||
\(38\) | 13.2070 | − | 1.71212i | 0.0563807 | − | 0.00730900i | ||||
\(39\) | −115.215 | + | 111.630i | −0.473055 | + | 0.458337i | ||||
\(40\) | −36.8551 | − | 250.283i | −0.145683 | − | 0.989331i | ||||
\(41\) | 74.8414i | 0.285080i | 0.989789 | + | 0.142540i | \(0.0455269\pi\) | ||||
−0.989789 | + | 0.142540i | \(0.954473\pi\) | |||||||
\(42\) | 241.094 | − | 302.892i | 0.885754 | − | 1.11279i | ||||
\(43\) | 364.853i | 1.29394i | 0.762515 | + | 0.646971i | \(0.223965\pi\) | ||||
−0.762515 | + | 0.646971i | \(0.776035\pi\) | |||||||
\(44\) | 76.3458 | + | 289.512i | 0.261581 | + | 0.991946i | ||||
\(45\) | 290.759 | + | 81.1439i | 0.963195 | + | 0.268805i | ||||
\(46\) | −46.9252 | − | 361.975i | −0.150407 | − | 1.16022i | ||||
\(47\) | − | 45.7642i | − | 0.142030i | −0.997475 | − | 0.0710148i | \(-0.977376\pi\) | ||
0.997475 | − | 0.0710148i | \(-0.0226238\pi\) | |||||||
\(48\) | 93.6687 | − | 319.090i | 0.281665 | − | 0.959513i | ||||
\(49\) | 350.842 | 1.02286 | ||||||||
\(50\) | 331.853 | + | 121.957i | 0.938622 | + | 0.344947i | ||||
\(51\) | −201.582 | + | 195.310i | −0.553472 | + | 0.536252i | ||||
\(52\) | −238.824 | + | 62.9791i | −0.636903 | + | 0.167954i | ||||
\(53\) | − | 682.936i | − | 1.76997i | −0.465619 | − | 0.884985i | \(-0.654168\pi\) | ||
0.465619 | − | 0.884985i | \(-0.345832\pi\) | |||||||
\(54\) | 302.508 | + | 256.814i | 0.762335 | + | 0.647183i | ||||
\(55\) | −406.390 | − | 99.6872i | −0.996319 | − | 0.244397i | ||||
\(56\) | 552.003 | − | 224.811i | 1.31722 | − | 0.536458i | ||||
\(57\) | −17.5712 | + | 17.0245i | −0.0408309 | + | 0.0395605i | ||||
\(58\) | 646.728 | − | 83.8397i | 1.46413 | − | 0.189805i | ||||
\(59\) | 256.129i | 0.565172i | 0.959242 | + | 0.282586i | \(0.0911923\pi\) | ||||
−0.959242 | + | 0.282586i | \(0.908808\pi\) | |||||||
\(60\) | 329.121 | + | 328.145i | 0.708156 | + | 0.706056i | ||||
\(61\) | − | 435.099i | − | 0.913259i | −0.889657 | − | 0.456629i | \(-0.849057\pi\) | ||
0.889657 | − | 0.456629i | \(-0.150943\pi\) | |||||||
\(62\) | −45.0386 | − | 347.422i | −0.0922566 | − | 0.711655i | ||||
\(63\) | −22.4718 | + | 710.849i | −0.0449393 | + | 1.42156i | ||||
\(64\) | 366.318 | − | 357.708i | 0.715466 | − | 0.698648i | ||||
\(65\) | 82.2339 | − | 335.238i | 0.156921 | − | 0.639711i | ||||
\(66\) | −430.361 | − | 342.556i | −0.802633 | − | 0.638876i | ||||
\(67\) | − | 862.064i | − | 1.57191i | −0.618285 | − | 0.785954i | \(-0.712172\pi\) | ||
0.618285 | − | 0.785954i | \(-0.287828\pi\) | |||||||
\(68\) | −417.850 | + | 110.189i | −0.745173 | + | 0.196506i | ||||
\(69\) | 466.603 | + | 481.586i | 0.814092 | + | 0.840235i | ||||
\(70\) | −92.7936 | + | 827.787i | −0.158442 | + | 1.41342i | ||||
\(71\) | −366.537 | −0.612675 | −0.306338 | − | 0.951923i | \(-0.599104\pi\) | ||||
−0.306338 | + | 0.951923i | \(0.599104\pi\) | |||||||
\(72\) | 212.443 | + | 572.814i | 0.347732 | + | 0.937594i | ||||
\(73\) | − | 215.240i | − | 0.345095i | −0.985001 | − | 0.172547i | \(-0.944800\pi\) | ||
0.985001 | − | 0.172547i | \(-0.0551998\pi\) | |||||||
\(74\) | −980.492 | + | 127.108i | −1.54027 | + | 0.199675i | ||||
\(75\) | −622.676 | + | 184.796i | −0.958673 | + | 0.284512i | ||||
\(76\) | −36.4226 | + | 9.60482i | −0.0549731 | + | 0.0144967i | ||||
\(77\) | − | 985.839i | − | 1.45905i | ||||||
\(78\) | 282.581 | − | 355.013i | 0.410205 | − | 0.515350i | ||||
\(79\) | 340.273i | 0.484604i | 0.970201 | + | 0.242302i | \(0.0779026\pi\) | ||||
−0.970201 | + | 0.242302i | \(0.922097\pi\) | |||||||
\(80\) | 194.386 | + | 688.632i | 0.271663 | + | 0.962392i | ||||
\(81\) | −727.544 | − | 46.0451i | −0.998003 | − | 0.0631620i | ||||
\(82\) | −27.2142 | − | 209.927i | −0.0366501 | − | 0.282714i | ||||
\(83\) | 605.094 | 0.800214 | 0.400107 | − | 0.916469i | \(-0.368973\pi\) | ||||
0.400107 | + | 0.916469i | \(0.368973\pi\) | |||||||
\(84\) | −566.120 | + | 937.266i | −0.735342 | + | 1.21743i | ||||
\(85\) | 143.878 | − | 586.538i | 0.183597 | − | 0.748458i | ||||
\(86\) | −132.670 | − | 1023.40i | −0.166350 | − | 1.28320i | ||||
\(87\) | −860.434 | + | 833.664i | −1.06032 | + | 1.02733i | ||||
\(88\) | −319.421 | − | 784.308i | −0.386936 | − | 0.950086i | ||||
\(89\) | 517.431i | 0.616265i | 0.951343 | + | 0.308132i | \(0.0997040\pi\) | ||||
−0.951343 | + | 0.308132i | \(0.900296\pi\) | |||||||
\(90\) | −845.071 | − | 121.878i | −0.989759 | − | 0.142745i | ||||
\(91\) | 813.237 | 0.936818 | ||||||||
\(92\) | 263.246 | + | 998.260i | 0.298319 | + | 1.13126i | ||||
\(93\) | 447.843 | + | 462.225i | 0.499346 | + | 0.515381i | ||||
\(94\) | 16.6410 | + | 128.367i | 0.0182595 | + | 0.140851i | ||||
\(95\) | 12.5413 | − | 51.1265i | 0.0135443 | − | 0.0552155i | ||||
\(96\) | −146.708 | + | 929.093i | −0.155972 | + | 0.987762i | ||||
\(97\) | 1441.60i | 1.50900i | 0.656302 | + | 0.754498i | \(0.272120\pi\) | ||||
−0.656302 | + | 0.754498i | \(0.727880\pi\) | |||||||
\(98\) | −984.097 | + | 127.575i | −1.01438 | + | 0.131500i | ||||
\(99\) | 1010.00 | + | 31.9288i | 1.02534 | + | 0.0324138i | ||||
\(100\) | −975.180 | − | 221.414i | −0.975180 | − | 0.221414i | ||||
\(101\) | 422.189 | 0.415934 | 0.207967 | − | 0.978136i | \(-0.433315\pi\) | ||||
0.207967 | + | 0.978136i | \(0.433315\pi\) | |||||||
\(102\) | 494.408 | − | 621.136i | 0.479938 | − | 0.602957i | ||||
\(103\) | −1058.99 | −1.01307 | −0.506533 | − | 0.862221i | \(-0.669073\pi\) | ||||
−0.506533 | + | 0.862221i | \(0.669073\pi\) | |||||||
\(104\) | 646.990 | − | 263.496i | 0.610025 | − | 0.248441i | ||||
\(105\) | −772.343 | − | 1321.06i | −0.717837 | − | 1.22783i | ||||
\(106\) | 248.332 | + | 1915.60i | 0.227549 | + | 1.75528i | ||||
\(107\) | −819.034 | −0.739991 | −0.369995 | − | 0.929034i | \(-0.620641\pi\) | ||||
−0.369995 | + | 0.929034i | \(0.620641\pi\) | |||||||
\(108\) | −941.904 | − | 610.351i | −0.839211 | − | 0.543806i | ||||
\(109\) | − | 1139.42i | − | 1.00125i | −0.865663 | − | 0.500627i | \(-0.833103\pi\) | ||
0.865663 | − | 0.500627i | \(-0.166897\pi\) | |||||||
\(110\) | 1176.15 | + | 131.845i | 1.01947 | + | 0.114281i | ||||
\(111\) | 1304.49 | − | 1263.90i | 1.11546 | − | 1.08076i | ||||
\(112\) | −1466.60 | + | 831.307i | −1.23732 | + | 0.701349i | ||||
\(113\) | 1448.12 | 1.20555 | 0.602776 | − | 0.797911i | \(-0.294061\pi\) | ||||
0.602776 | + | 0.797911i | \(0.294061\pi\) | |||||||
\(114\) | 43.0959 | − | 54.1423i | 0.0354062 | − | 0.0444815i | ||||
\(115\) | −1401.26 | − | 343.729i | −1.13625 | − | 0.278721i | ||||
\(116\) | −1783.56 | + | 470.333i | −1.42758 | + | 0.376460i | ||||
\(117\) | −26.3387 | + | 833.170i | −0.0208120 | + | 0.658347i | ||||
\(118\) | −93.1349 | − | 718.430i | −0.0726590 | − | 0.560482i | ||||
\(119\) | 1422.85 | 1.09607 | ||||||||
\(120\) | −1042.49 | − | 800.757i | −0.793050 | − | 0.609156i | ||||
\(121\) | −69.7203 | −0.0523819 | ||||||||
\(122\) | 158.213 | + | 1220.43i | 0.117409 | + | 0.905680i | ||||
\(123\) | 270.606 | + | 279.295i | 0.198372 | + | 0.204742i | ||||
\(124\) | 252.662 | + | 958.126i | 0.182982 | + | 0.693889i | ||||
\(125\) | 923.250 | − | 1049.16i | 0.660624 | − | 0.750717i | ||||
\(126\) | −195.450 | − | 2002.07i | −0.138191 | − | 1.41554i | ||||
\(127\) | 1075.20 | 0.751245 | 0.375623 | − | 0.926773i | \(-0.377429\pi\) | ||||
0.375623 | + | 0.926773i | \(0.377429\pi\) | |||||||
\(128\) | −897.436 | + | 1136.56i | −0.619710 | + | 0.784831i | ||||
\(129\) | 1319.21 | + | 1361.57i | 0.900384 | + | 0.929298i | ||||
\(130\) | −108.761 | + | 970.231i | −0.0733769 | + | 0.654576i | ||||
\(131\) | 729.865i | 0.486784i | 0.969928 | + | 0.243392i | \(0.0782601\pi\) | ||||
−0.969928 | + | 0.243392i | \(0.921740\pi\) | |||||||
\(132\) | 1331.71 | + | 804.366i | 0.878107 | + | 0.530387i | ||||
\(133\) | 124.025 | 0.0808598 | ||||||||
\(134\) | 313.468 | + | 2418.05i | 0.202086 | + | 1.55886i | ||||
\(135\) | 1378.46 | − | 748.488i | 0.878805 | − | 0.477182i | ||||
\(136\) | 1131.98 | − | 461.016i | 0.713727 | − | 0.290675i | ||||
\(137\) | −505.557 | −0.315275 | −0.157637 | − | 0.987497i | \(-0.550388\pi\) | ||||
−0.157637 | + | 0.987497i | \(0.550388\pi\) | |||||||
\(138\) | −1483.92 | − | 1181.16i | −0.915358 | − | 0.728602i | ||||
\(139\) | −677.815 | −0.413608 | −0.206804 | − | 0.978382i | \(-0.566306\pi\) | ||||
−0.206804 | + | 0.978382i | \(0.566306\pi\) | |||||||
\(140\) | −40.7221 | − | 2355.65i | −0.0245832 | − | 1.42206i | ||||
\(141\) | −165.471 | − | 170.784i | −0.0988308 | − | 0.102004i | ||||
\(142\) | 1028.12 | − | 133.282i | 0.607591 | − | 0.0787660i | ||||
\(143\) | − | 1155.48i | − | 0.675707i | ||||||
\(144\) | −804.184 | − | 1529.47i | −0.465384 | − | 0.885109i | ||||
\(145\) | 614.129 | − | 2503.59i | 0.351729 | − | 1.43387i | ||||
\(146\) | 78.2666 | + | 603.739i | 0.0443657 | + | 0.342231i | ||||
\(147\) | 1309.28 | − | 1268.55i | 0.734612 | − | 0.711756i | ||||
\(148\) | 2704.02 | − | 713.063i | 1.50182 | − | 0.396037i | ||||
\(149\) | −2640.39 | −1.45174 | −0.725869 | − | 0.687833i | \(-0.758562\pi\) | ||||
−0.725869 | + | 0.687833i | \(0.758562\pi\) | |||||||
\(150\) | 1679.38 | − | 744.765i | 0.914140 | − | 0.405399i | ||||
\(151\) | 2466.32i | 1.32918i | 0.747207 | + | 0.664591i | \(0.231394\pi\) | ||||
−0.747207 | + | 0.664591i | \(0.768606\pi\) | |||||||
\(152\) | 98.6712 | − | 40.1853i | 0.0526532 | − | 0.0214438i | ||||
\(153\) | −46.0825 | + | 1457.73i | −0.0243500 | + | 0.770263i | ||||
\(154\) | 358.476 | + | 2765.24i | 0.187577 | + | 1.44694i | ||||
\(155\) | −1344.92 | − | 329.910i | −0.696948 | − | 0.170961i | ||||
\(156\) | −663.536 | + | 1098.55i | −0.340548 | + | 0.563810i | ||||
\(157\) | −1553.13 | −0.789512 | −0.394756 | − | 0.918786i | \(-0.629171\pi\) | ||||
−0.394756 | + | 0.918786i | \(0.629171\pi\) | |||||||
\(158\) | −123.732 | − | 954.452i | −0.0623011 | − | 0.480583i | ||||
\(159\) | −2469.31 | − | 2548.60i | −1.23163 | − | 1.27118i | ||||
\(160\) | −795.648 | − | 1860.90i | −0.393135 | − | 0.919481i | ||||
\(161\) | − | 3399.25i | − | 1.66396i | ||||||
\(162\) | 2057.47 | − | 135.399i | 0.997842 | − | 0.0656662i | ||||
\(163\) | 3936.58i | 1.89164i | 0.324694 | + | 0.945819i | \(0.394739\pi\) | ||||
−0.324694 | + | 0.945819i | \(0.605261\pi\) | |||||||
\(164\) | 152.669 | + | 578.940i | 0.0726919 | + | 0.275656i | ||||
\(165\) | −1877.02 | + | 1097.38i | −0.885610 | + | 0.517761i | ||||
\(166\) | −1697.26 | + | 220.027i | −0.793573 | + | 0.102876i | ||||
\(167\) | − | 1998.86i | − | 0.926208i | −0.886304 | − | 0.463104i | \(-0.846736\pi\) | ||
0.886304 | − | 0.463104i | \(-0.153264\pi\) | |||||||
\(168\) | 1247.13 | − | 2834.85i | 0.572726 | − | 1.30186i | ||||
\(169\) | −1243.82 | −0.566146 | ||||||||
\(170\) | −190.290 | + | 1697.53i | −0.0858506 | + | 0.765851i | ||||
\(171\) | −4.01686 | + | 127.065i | −0.00179635 | + | 0.0568241i | ||||
\(172\) | 744.264 | + | 2822.34i | 0.329940 | + | 1.25117i | ||||
\(173\) | 2816.75i | 1.23788i | 0.785438 | + | 0.618940i | \(0.212438\pi\) | ||||
−0.785438 | + | 0.618940i | \(0.787562\pi\) | |||||||
\(174\) | 2110.34 | − | 2651.27i | 0.919451 | − | 1.15513i | ||||
\(175\) | 2918.85 | + | 1523.67i | 1.26083 | + | 0.658164i | ||||
\(176\) | 1181.15 | + | 2083.80i | 0.505869 | + | 0.892457i | ||||
\(177\) | 926.091 | + | 955.830i | 0.393273 | + | 0.405901i | ||||
\(178\) | −188.151 | − | 1451.37i | −0.0792275 | − | 0.611151i | ||||
\(179\) | − | 905.857i | − | 0.378251i | −0.981953 | − | 0.189125i | \(-0.939435\pi\) | ||
0.981953 | − | 0.189125i | \(-0.0605653\pi\) | |||||||
\(180\) | 2414.71 | + | 34.5732i | 0.999898 | + | 0.0143163i | ||||
\(181\) | 174.804i | 0.0717851i | 0.999356 | + | 0.0358925i | \(0.0114274\pi\) | ||||
−0.999356 | + | 0.0358925i | \(0.988573\pi\) | |||||||
\(182\) | −2281.09 | + | 295.713i | −0.929044 | + | 0.120438i | ||||
\(183\) | −1573.20 | − | 1623.72i | −0.635487 | − | 0.655894i | ||||
\(184\) | −1101.39 | − | 2704.35i | −0.441279 | − | 1.08352i | ||||
\(185\) | −931.069 | + | 3795.64i | −0.370019 | + | 1.50844i | ||||
\(186\) | −1424.26 | − | 1133.67i | −0.561460 | − | 0.446908i | ||||
\(187\) | − | 2021.65i | − | 0.790574i | ||||||
\(188\) | −93.3546 | − | 354.011i | −0.0362159 | − | 0.137335i | ||||
\(189\) | 2486.37 | + | 2734.02i | 0.956915 | + | 1.05223i | ||||
\(190\) | −16.5870 | + | 147.968i | −0.00633340 | + | 0.0564986i | ||||
\(191\) | −1267.32 | −0.480107 | −0.240053 | − | 0.970760i | \(-0.577165\pi\) | ||||
−0.240053 | + | 0.970760i | \(0.577165\pi\) | |||||||
\(192\) | 73.6672 | − | 2659.41i | 0.0276899 | − | 0.999617i | ||||
\(193\) | 2265.21i | 0.844838i | 0.906401 | + | 0.422419i | \(0.138819\pi\) | ||||
−0.906401 | + | 0.422419i | \(0.861181\pi\) | |||||||
\(194\) | −524.203 | − | 4043.63i | −0.193998 | − | 1.49647i | ||||
\(195\) | −905.246 | − | 1548.39i | −0.332441 | − | 0.568627i | ||||
\(196\) | 2713.96 | − | 715.684i | 0.989052 | − | 0.260818i | ||||
\(197\) | 630.779i | 0.228128i | 0.993473 | + | 0.114064i | \(0.0363868\pi\) | ||||
−0.993473 | + | 0.114064i | \(0.963613\pi\) | |||||||
\(198\) | −2844.62 | + | 277.703i | −1.02100 | + | 0.0996743i | ||||
\(199\) | 3357.04i | 1.19585i | 0.801551 | + | 0.597926i | \(0.204008\pi\) | ||||
−0.801551 | + | 0.597926i | \(0.795992\pi\) | |||||||
\(200\) | 2815.85 | + | 266.458i | 0.995553 | + | 0.0942072i | ||||
\(201\) | −3116.98 | − | 3217.08i | −1.09381 | − | 1.12893i | ||||
\(202\) | −1184.22 | + | 153.518i | −0.412482 | + | 0.0534728i | ||||
\(203\) | 6073.32 | 2.09982 | ||||||||
\(204\) | −1160.93 | + | 1922.04i | −0.398439 | + | 0.659655i | ||||
\(205\) | −812.660 | − | 199.345i | −0.276871 | − | 0.0679165i | ||||
\(206\) | 2970.43 | − | 385.077i | 1.00466 | − | 0.130241i | ||||
\(207\) | 3482.56 | + | 110.093i | 1.16935 | + | 0.0369661i | ||||
\(208\) | −1718.97 | + | 974.356i | −0.573023 | + | 0.324805i | ||||
\(209\) | − | 176.220i | − | 0.0583225i | ||||||
\(210\) | 2646.76 | + | 3424.68i | 0.869732 | + | 1.12536i | ||||
\(211\) | 3809.37 | 1.24288 | 0.621440 | − | 0.783462i | \(-0.286548\pi\) | ||||
0.621440 | + | 0.783462i | \(0.286548\pi\) | |||||||
\(212\) | −1393.12 | − | 5282.89i | −0.451321 | − | 1.71146i | ||||
\(213\) | −1367.85 | + | 1325.30i | −0.440018 | + | 0.426327i | ||||
\(214\) | 2297.35 | − | 297.821i | 0.733850 | − | 0.0951338i | ||||
\(215\) | −3961.73 | − | 971.810i | −1.25669 | − | 0.308265i | ||||
\(216\) | 2863.94 | + | 1369.51i | 0.902159 | + | 0.431404i | ||||
\(217\) | − | 3262.58i | − | 1.02064i | ||||||
\(218\) | 414.322 | + | 3196.03i | 0.128722 | + | 0.992946i | ||||
\(219\) | −778.248 | − | 803.239i | −0.240133 | − | 0.247844i | ||||
\(220\) | −3347.00 | + | 57.8596i | −1.02570 | + | 0.0177313i | ||||
\(221\) | 1667.69 | 0.507607 | ||||||||
\(222\) | −3199.44 | + | 4019.53i | −0.967264 | + | 1.21519i | ||||
\(223\) | 4261.82 | 1.27979 | 0.639894 | − | 0.768463i | \(-0.278978\pi\) | ||||
0.639894 | + | 0.768463i | \(0.278978\pi\) | |||||||
\(224\) | 3811.46 | − | 2865.07i | 1.13689 | − | 0.854601i | ||||
\(225\) | −1655.55 | + | 2941.05i | −0.490534 | + | 0.871422i | ||||
\(226\) | −4061.90 | + | 526.571i | −1.19555 | + | 0.154987i | ||||
\(227\) | −4481.95 | −1.31047 | −0.655236 | − | 0.755424i | \(-0.727431\pi\) | ||||
−0.655236 | + | 0.755424i | \(0.727431\pi\) | |||||||
\(228\) | −101.195 | + | 167.538i | −0.0293938 | + | 0.0486642i | ||||
\(229\) | − | 1157.74i | − | 0.334085i | −0.985950 | − | 0.167042i | \(-0.946578\pi\) | ||
0.985950 | − | 0.167042i | \(-0.0534216\pi\) | |||||||
\(230\) | 4055.47 | + | 454.611i | 1.16265 | + | 0.130331i | ||||
\(231\) | −3564.52 | − | 3678.98i | −1.01527 | − | 1.04788i | ||||
\(232\) | 4831.78 | − | 1967.81i | 1.36733 | − | 0.556867i | ||||
\(233\) | 2549.55 | 0.716852 | 0.358426 | − | 0.933558i | \(-0.383314\pi\) | ||||
0.358426 | + | 0.933558i | \(0.383314\pi\) | |||||||
\(234\) | −229.083 | − | 2346.58i | −0.0639983 | − | 0.655559i | ||||
\(235\) | 496.927 | + | 121.896i | 0.137940 | + | 0.0338367i | ||||
\(236\) | 522.478 | + | 1981.30i | 0.144112 | + | 0.546490i | ||||
\(237\) | 1230.33 | + | 1269.84i | 0.337210 | + | 0.348039i | ||||
\(238\) | −3991.04 | + | 517.384i | −1.08698 | + | 0.140912i | ||||
\(239\) | −714.592 | −0.193402 | −0.0967010 | − | 0.995313i | \(-0.530829\pi\) | ||||
−0.0967010 | + | 0.995313i | \(0.530829\pi\) | |||||||
\(240\) | 3215.32 | + | 1867.01i | 0.864783 | + | 0.502146i | ||||
\(241\) | −2330.00 | −0.622774 | −0.311387 | − | 0.950283i | \(-0.600794\pi\) | ||||
−0.311387 | + | 0.950283i | \(0.600794\pi\) | |||||||
\(242\) | 195.562 | − | 25.3520i | 0.0519472 | − | 0.00673426i | ||||
\(243\) | −2881.56 | + | 2458.77i | −0.760708 | + | 0.649094i | ||||
\(244\) | −887.561 | − | 3365.74i | −0.232870 | − | 0.883070i | ||||
\(245\) | −934.492 | + | 3809.60i | −0.243684 | + | 0.993413i | ||||
\(246\) | −860.596 | − | 685.012i | −0.223047 | − | 0.177540i | ||||
\(247\) | 145.367 | 0.0374473 | ||||||||
\(248\) | −1057.11 | − | 2595.63i | −0.270670 | − | 0.664607i | ||||
\(249\) | 2258.11 | − | 2187.85i | 0.574706 | − | 0.556825i | ||||
\(250\) | −2208.18 | + | 3278.56i | −0.558629 | + | 0.829417i | ||||
\(251\) | 3006.17i | 0.755966i | 0.925812 | + | 0.377983i | \(0.123382\pi\) | ||||
−0.925812 | + | 0.377983i | \(0.876618\pi\) | |||||||
\(252\) | 1276.23 | + | 5544.65i | 0.319028 | + | 1.38603i | ||||
\(253\) | −4829.79 | −1.20018 | ||||||||
\(254\) | −3015.88 | + | 390.968i | −0.745011 | + | 0.0965807i | ||||
\(255\) | −1583.83 | − | 2709.08i | −0.388954 | − | 0.665291i | ||||
\(256\) | 2103.99 | − | 3514.32i | 0.513669 | − | 0.857989i | ||||
\(257\) | −7814.60 | −1.89674 | −0.948369 | − | 0.317170i | \(-0.897267\pi\) | ||||
−0.948369 | + | 0.317170i | \(0.897267\pi\) | |||||||
\(258\) | −4195.41 | − | 3339.44i | −1.01238 | − | 0.805832i | ||||
\(259\) | −9207.64 | −2.20902 | ||||||||
\(260\) | −47.7294 | − | 2761.00i | −0.0113848 | − | 0.658578i | ||||
\(261\) | −196.699 | + | 6222.18i | −0.0466490 | + | 1.47565i | ||||
\(262\) | −265.397 | − | 2047.24i | −0.0625813 | − | 0.482744i | ||||
\(263\) | 4366.70i | 1.02381i | 0.859042 | + | 0.511905i | \(0.171060\pi\) | ||||
−0.859042 | + | 0.511905i | \(0.828940\pi\) | |||||||
\(264\) | −4027.86 | − | 1771.97i | −0.939007 | − | 0.413095i | ||||
\(265\) | 7415.61 | + | 1819.05i | 1.71901 | + | 0.421672i | ||||
\(266\) | −347.885 | + | 45.0987i | −0.0801888 | + | 0.0103954i | ||||
\(267\) | 1870.89 | + | 1930.96i | 0.428825 | + | 0.442596i | ||||
\(268\) | −1758.53 | − | 6668.54i | −0.400818 | − | 1.51995i | ||||
\(269\) | 4336.63 | 0.982933 | 0.491467 | − | 0.870896i | \(-0.336461\pi\) | ||||
0.491467 | + | 0.870896i | \(0.336461\pi\) | |||||||
\(270\) | −3594.34 | + | 2600.72i | −0.810165 | + | 0.586202i | ||||
\(271\) | 4429.78i | 0.992952i | 0.868050 | + | 0.496476i | \(0.165373\pi\) | ||||
−0.868050 | + | 0.496476i | \(0.834627\pi\) | |||||||
\(272\) | −3007.53 | + | 1704.75i | −0.670434 | + | 0.380020i | ||||
\(273\) | 3034.86 | − | 2940.44i | 0.672814 | − | 0.651881i | ||||
\(274\) | 1418.07 | − | 183.833i | 0.312659 | − | 0.0405320i | ||||
\(275\) | 2164.89 | − | 4147.23i | 0.474720 | − | 0.909408i | ||||
\(276\) | 4591.82 | + | 2773.51i | 1.00143 | + | 0.604876i | ||||
\(277\) | −3024.43 | −0.656030 | −0.328015 | − | 0.944673i | \(-0.606380\pi\) | ||||
−0.328015 | + | 0.944673i | \(0.606380\pi\) | |||||||
\(278\) | 1901.24 | − | 246.470i | 0.410176 | − | 0.0531738i | ||||
\(279\) | 3342.55 | + | 105.667i | 0.717252 | + | 0.0226742i | ||||
\(280\) | 970.796 | + | 6592.68i | 0.207201 | + | 1.40710i | ||||
\(281\) | − | 330.776i | − | 0.0702223i | −0.999383 | − | 0.0351112i | \(-0.988821\pi\) | ||
0.999383 | − | 0.0351112i | \(-0.0111785\pi\) | |||||||
\(282\) | 526.239 | + | 418.873i | 0.111124 | + | 0.0884522i | ||||
\(283\) | − | 5051.97i | − | 1.06116i | −0.847635 | − | 0.530580i | \(-0.821974\pi\) | ||
0.847635 | − | 0.530580i | \(-0.178026\pi\) | |||||||
\(284\) | −2835.37 | + | 747.700i | −0.592423 | + | 0.156225i | ||||
\(285\) | −138.057 | − | 236.141i | −0.0286941 | − | 0.0490801i | ||||
\(286\) | 420.161 | + | 3241.07i | 0.0868695 | + | 0.670100i | ||||
\(287\) | − | 1971.39i | − | 0.405461i | ||||||
\(288\) | 2811.85 | + | 3997.67i | 0.575312 | + | 0.817934i | ||||
\(289\) | −1995.18 | −0.406102 | ||||||||
\(290\) | −812.238 | + | 7245.76i | −0.164470 | + | 1.46719i | ||||
\(291\) | 5212.44 | + | 5379.82i | 1.05003 | + | 1.08375i | ||||
\(292\) | −439.069 | − | 1665.00i | −0.0879950 | − | 0.333688i | ||||
\(293\) | 1269.80i | 0.253182i | 0.991955 | + | 0.126591i | \(0.0404036\pi\) | ||||
−0.991955 | + | 0.126591i | \(0.959596\pi\) | |||||||
\(294\) | −3211.21 | + | 4034.31i | −0.637012 | + | 0.800292i | ||||
\(295\) | −2781.16 | − | 682.217i | −0.548899 | − | 0.134645i | ||||
\(296\) | −7325.36 | + | 2983.36i | −1.43844 | + | 0.585825i | ||||
\(297\) | 3884.60 | − | 3532.74i | 0.758948 | − | 0.690203i | ||||
\(298\) | 7406.17 | − | 960.111i | 1.43969 | − | 0.186637i | ||||
\(299\) | − | 3984.18i | − | 0.770606i | ||||||
\(300\) | −4439.78 | + | 2699.70i | −0.854436 | + | 0.519557i | ||||
\(301\) | − | 9610.54i | − | 1.84034i | ||||||
\(302\) | −896.817 | − | 6917.93i | −0.170881 | − | 1.31815i | ||||
\(303\) | 1575.54 | − | 1526.52i | 0.298720 | − | 0.289426i | ||||
\(304\) | −262.156 | + | 148.597i | −0.0494595 | + | 0.0280350i | ||||
\(305\) | 4724.50 | + | 1158.92i | 0.886963 | + | 0.217572i | ||||
\(306\) | −400.806 | − | 4105.62i | −0.0748777 | − | 0.767001i | ||||
\(307\) | 5056.64i | 0.940057i | 0.882651 | + | 0.470029i | \(0.155756\pi\) | ||||
−0.882651 | + | 0.470029i | \(0.844244\pi\) | |||||||
\(308\) | −2011.02 | − | 7626.01i | −0.372040 | − | 1.41082i | ||||
\(309\) | −3951.99 | + | 3829.03i | −0.727575 | + | 0.704938i | ||||
\(310\) | 3892.42 | + | 436.334i | 0.713143 | + | 0.0799422i | ||||
\(311\) | 2886.68 | 0.526329 | 0.263165 | − | 0.964751i | \(-0.415234\pi\) | ||||
0.263165 | + | 0.964751i | \(0.415234\pi\) | |||||||
\(312\) | 1461.73 | − | 3322.66i | 0.265238 | − | 0.602912i | ||||
\(313\) | 5771.03i | 1.04217i | 0.853506 | + | 0.521083i | \(0.174472\pi\) | ||||
−0.853506 | + | 0.521083i | \(0.825528\pi\) | |||||||
\(314\) | 4356.47 | − | 564.758i | 0.782961 | − | 0.101500i | ||||
\(315\) | −7658.84 | − | 2137.40i | −1.36993 | − | 0.382314i | ||||
\(316\) | 694.125 | + | 2632.20i | 0.123568 | + | 0.468585i | ||||
\(317\) | 1124.02i | 0.199153i | 0.995030 | + | 0.0995765i | \(0.0317488\pi\) | ||||
−0.995030 | + | 0.0995765i | \(0.968251\pi\) | |||||||
\(318\) | 7853.03 | + | 6250.81i | 1.38483 | + | 1.10229i | ||||
\(319\) | − | 8629.22i | − | 1.51456i | ||||||
\(320\) | 2908.43 | + | 4930.42i | 0.508081 | + | 0.861309i | ||||
\(321\) | −3056.50 | + | 2961.40i | −0.531455 | + | 0.514920i | ||||
\(322\) | 1236.05 | + | 9534.74i | 0.213921 | + | 1.65016i | ||||
\(323\) | 254.337 | 0.0438132 | ||||||||
\(324\) | −5721.89 | + | 1127.94i | −0.981119 | + | 0.193405i | ||||
\(325\) | 3421.12 | + | 1785.86i | 0.583907 | + | 0.304805i | ||||
\(326\) | −1431.44 | − | 11041.9i | −0.243191 | − | 1.87594i | ||||
\(327\) | −4119.83 | − | 4252.13i | −0.696719 | − | 0.719092i | ||||
\(328\) | −638.747 | − | 1568.39i | −0.107527 | − | 0.264023i | ||||
\(329\) | 1205.47i | 0.202005i | ||||||||
\(330\) | 4865.92 | − | 3760.62i | 0.811697 | − | 0.627319i | ||||
\(331\) | 10427.1 | 1.73150 | 0.865752 | − | 0.500474i | \(-0.166841\pi\) | ||||
0.865752 | + | 0.500474i | \(0.166841\pi\) | |||||||
\(332\) | 4680.74 | − | 1234.33i | 0.773762 | − | 0.204045i | ||||
\(333\) | 298.212 | − | 9433.33i | 0.0490748 | − | 1.55238i | ||||
\(334\) | 726.836 | + | 5606.72i | 0.119074 | + | 0.918522i | ||||
\(335\) | 9360.65 | + | 2296.17i | 1.52665 | + | 0.374486i | ||||
\(336\) | −2467.32 | + | 8405.10i | −0.400605 | + | 1.36469i | ||||
\(337\) | − | 4932.89i | − | 0.797364i | −0.917089 | − | 0.398682i | \(-0.869468\pi\) | ||
0.917089 | − | 0.398682i | \(-0.130532\pi\) | |||||||
\(338\) | 3488.87 | − | 452.285i | 0.561448 | − | 0.0727842i | ||||
\(339\) | 5404.12 | − | 5235.99i | 0.865816 | − | 0.838878i | ||||
\(340\) | −83.5081 | − | 4830.69i | −0.0133202 | − | 0.770533i | ||||
\(341\) | −4635.61 | −0.736165 | ||||||||
\(342\) | −34.9369 | − | 357.873i | −0.00552390 | − | 0.0565835i | ||||
\(343\) | −206.574 | −0.0325187 | ||||||||
\(344\) | −3113.90 | − | 7645.90i | −0.488053 | − | 1.19837i | ||||
\(345\) | −6472.10 | + | 3783.83i | −1.00999 | + | 0.590478i | ||||
\(346\) | −1024.24 | − | 7900.85i | −0.159143 | − | 1.22761i | ||||
\(347\) | −3247.36 | −0.502385 | −0.251192 | − | 0.967937i | \(-0.580823\pi\) | ||||
−0.251192 | + | 0.967937i | \(0.580823\pi\) | |||||||
\(348\) | −4955.34 | + | 8204.05i | −0.763317 | + | 1.26375i | ||||
\(349\) | − | 11995.6i | − | 1.83986i | −0.392086 | − | 0.919929i | \(-0.628246\pi\) | ||
0.392086 | − | 0.919929i | \(-0.371754\pi\) | |||||||
\(350\) | −8741.30 | − | 3212.46i | −1.33498 | − | 0.490609i | ||||
\(351\) | 2914.22 | + | 3204.48i | 0.443161 | + | 0.487301i | ||||
\(352\) | −4070.81 | − | 5415.47i | −0.616406 | − | 0.820016i | ||||
\(353\) | −6654.12 | −1.00330 | −0.501648 | − | 0.865072i | \(-0.667273\pi\) | ||||
−0.501648 | + | 0.865072i | \(0.667273\pi\) | |||||||
\(354\) | −2945.21 | − | 2344.31i | −0.442192 | − | 0.351974i | ||||
\(355\) | 976.296 | − | 3980.01i | 0.145962 | − | 0.595034i | ||||
\(356\) | 1055.51 | + | 4002.61i | 0.157140 | + | 0.595894i | ||||
\(357\) | 5309.84 | − | 5144.64i | 0.787189 | − | 0.762697i | ||||
\(358\) | 329.392 | + | 2540.89i | 0.0486283 | + | 0.375112i | ||||
\(359\) | 5238.10 | 0.770073 | 0.385037 | − | 0.922901i | \(-0.374189\pi\) | ||||
0.385037 | + | 0.922901i | \(0.374189\pi\) | |||||||
\(360\) | −6785.72 | + | 781.071i | −0.993441 | + | 0.114350i | ||||
\(361\) | −6836.83 | −0.996768 | ||||||||
\(362\) | −63.5632 | − | 490.318i | −0.00922875 | − | 0.0711894i | ||||
\(363\) | −260.184 | + | 252.089i | −0.0376202 | + | 0.0364497i | ||||
\(364\) | 6290.84 | − | 1658.93i | 0.905851 | − | 0.238877i | ||||
\(365\) | 2337.17 | + | 573.306i | 0.335159 | + | 0.0822143i | ||||
\(366\) | 5003.18 | + | 3982.40i | 0.714536 | + | 0.568753i | ||||
\(367\) | −3524.68 | −0.501326 | −0.250663 | − | 0.968074i | \(-0.580649\pi\) | ||||
−0.250663 | + | 0.968074i | \(0.580649\pi\) | |||||||
\(368\) | 4072.71 | + | 7185.10i | 0.576915 | + | 1.01780i | ||||
\(369\) | 2019.71 | + | 63.8482i | 0.284937 | + | 0.00900760i | ||||
\(370\) | 1231.42 | − | 10985.2i | 0.173023 | − | 1.54349i | ||||
\(371\) | 17989.1i | 2.51738i | ||||||||
\(372\) | 4407.21 | + | 2662.01i | 0.614256 | + | 0.371018i | ||||
\(373\) | 3078.40 | 0.427328 | 0.213664 | − | 0.976907i | \(-0.431460\pi\) | ||||
0.213664 | + | 0.976907i | \(0.431460\pi\) | |||||||
\(374\) | 735.121 | + | 5670.63i | 0.101637 | + | 0.784014i | ||||
\(375\) | −348.052 | − | 7253.50i | −0.0479289 | − | 0.998851i | ||||
\(376\) | 390.583 | + | 959.040i | 0.0535712 | + | 0.131539i | ||||
\(377\) | 7118.41 | 0.972458 | ||||||||
\(378\) | −7968.32 | − | 6764.70i | −1.08425 | − | 0.920472i | ||||
\(379\) | −3244.44 | −0.439725 | −0.219863 | − | 0.975531i | \(-0.570561\pi\) | ||||
−0.219863 | + | 0.975531i | \(0.570561\pi\) | |||||||
\(380\) | −7.27912 | − | 421.075i | −0.000982661 | − | 0.0568440i | ||||
\(381\) | 4012.45 | − | 3887.61i | 0.539538 | − | 0.522751i | ||||
\(382\) | 3554.79 | − | 460.831i | 0.476123 | − | 0.0617229i | ||||
\(383\) | 5023.39i | 0.670191i | 0.942184 | + | 0.335096i | \(0.108769\pi\) | ||||
−0.942184 | + | 0.335096i | \(0.891231\pi\) | |||||||
\(384\) | 760.395 | + | 7486.31i | 0.101051 | + | 0.994881i | ||||
\(385\) | 10704.7 | + | 2625.85i | 1.41704 | + | 0.347599i | ||||
\(386\) | −823.688 | − | 6353.83i | −0.108613 | − | 0.837827i | ||||
\(387\) | 9846.10 | + | 311.261i | 1.29330 | + | 0.0408844i | ||||
\(388\) | 2940.73 | + | 11151.6i | 0.384776 | + | 1.45912i | ||||
\(389\) | −289.283 | −0.0377049 | −0.0188525 | − | 0.999822i | \(-0.506001\pi\) | ||||
−0.0188525 | + | 0.999822i | \(0.506001\pi\) | |||||||
\(390\) | 3102.21 | + | 4013.99i | 0.402785 | + | 0.521170i | ||||
\(391\) | − | 6970.78i | − | 0.901605i | ||||||
\(392\) | −7352.30 | + | 2994.33i | −0.947314 | + | 0.385807i | ||||
\(393\) | 2638.99 | + | 2723.73i | 0.338726 | + | 0.349604i | ||||
\(394\) | −229.367 | − | 1769.31i | −0.0293283 | − | 0.226235i | ||||
\(395\) | −3694.83 | − | 906.342i | −0.470651 | − | 0.115451i | ||||
\(396\) | 7878.06 | − | 1813.32i | 0.999716 | − | 0.230108i | ||||
\(397\) | 10915.5 | 1.37993 | 0.689964 | − | 0.723843i | \(-0.257626\pi\) | ||||
0.689964 | + | 0.723843i | \(0.257626\pi\) | |||||||
\(398\) | −1220.71 | − | 9416.36i | −0.153740 | − | 1.18593i | ||||
\(399\) | 462.841 | − | 448.441i | 0.0580728 | − | 0.0562659i | ||||
\(400\) | −7995.22 | + | 276.509i | −0.999402 | + | 0.0345636i | ||||
\(401\) | − | 9711.60i | − | 1.20941i | −0.796449 | − | 0.604706i | \(-0.793291\pi\) | ||
0.796449 | − | 0.604706i | \(-0.206709\pi\) | |||||||
\(402\) | 9912.81 | + | 7890.34i | 1.22987 | + | 0.978941i | ||||
\(403\) | − | 3824.00i | − | 0.472673i | ||||||
\(404\) | 3265.86 | − | 861.224i | 0.402185 | − | 0.106058i | ||||
\(405\) | 2437.84 | − | 7777.34i | 0.299105 | − | 0.954220i | ||||
\(406\) | −17035.4 | + | 2208.41i | −2.08240 | + | 0.269955i | ||||
\(407\) | 13082.6i | 1.59332i | ||||||||
\(408\) | 2557.46 | − | 5813.37i | 0.310327 | − | 0.705404i | ||||
\(409\) | 611.519 | 0.0739307 | 0.0369653 | − | 0.999317i | \(-0.488231\pi\) | ||||
0.0369653 | + | 0.999317i | \(0.488231\pi\) | |||||||
\(410\) | 2351.96 | + | 263.651i | 0.283305 | + | 0.0317581i | ||||
\(411\) | −1886.65 | + | 1827.95i | −0.226428 | + | 0.219383i | ||||
\(412\) | −8191.91 | + | 2160.25i | −0.979578 | + | 0.258320i | ||||
\(413\) | − | 6746.66i | − | 0.803830i | ||||||
\(414\) | −9808.47 | + | 957.542i | −1.16440 | + | 0.113673i | ||||
\(415\) | −1611.71 | + | 6570.37i | −0.190640 | + | 0.777173i | ||||
\(416\) | 4467.32 | − | 3358.09i | 0.526511 | − | 0.395778i | ||||
\(417\) | −2529.49 | + | 2450.79i | −0.297050 | + | 0.287807i | ||||
\(418\) | 64.0780 | + | 494.289i | 0.00749798 | + | 0.0578385i | ||||
\(419\) | − | 5936.35i | − | 0.692147i | −0.938207 | − | 0.346073i | \(-0.887515\pi\) | ||
0.938207 | − | 0.346073i | \(-0.112485\pi\) | |||||||
\(420\) | −8669.34 | − | 8643.64i | −1.00719 | − | 1.00421i | ||||
\(421\) | 7758.48i | 0.898159i | 0.893492 | + | 0.449080i | \(0.148248\pi\) | ||||
−0.893492 | + | 0.449080i | \(0.851752\pi\) | |||||||
\(422\) | −10685.1 | + | 1385.18i | −1.23257 | + | 0.159786i | ||||
\(423\) | −1235.02 | − | 39.0421i | −0.141959 | − | 0.00448768i | ||||
\(424\) | 5828.64 | + | 14311.7i | 0.667603 | + | 1.63924i | ||||
\(425\) | 5985.65 | + | 3124.57i | 0.683169 | + | 0.356621i | ||||
\(426\) | 3354.86 | − | 4214.78i | 0.381557 | − | 0.479359i | ||||
\(427\) | 11460.9i | 1.29890i | ||||||||
\(428\) | −6335.68 | + | 1670.75i | −0.715530 | + | 0.188689i | ||||
\(429\) | −4177.89 | − | 4312.06i | −0.470188 | − | 0.485287i | ||||
\(430\) | 11465.8 | + | 1285.30i | 1.28589 | + | 0.144146i | ||||
\(431\) | −3682.13 | −0.411513 | −0.205756 | − | 0.978603i | \(-0.565965\pi\) | ||||
−0.205756 | + | 0.978603i | \(0.565965\pi\) | |||||||
\(432\) | −8531.21 | − | 2800.01i | −0.950134 | − | 0.311842i | ||||
\(433\) | − | 9874.56i | − | 1.09594i | −0.836499 | − | 0.547969i | \(-0.815401\pi\) | ||
0.836499 | − | 0.547969i | \(-0.184599\pi\) | |||||||
\(434\) | 1186.36 | + | 9151.40i | 0.131214 | + | 1.01217i | ||||
\(435\) | −6760.45 | − | 11563.5i | −0.745146 | − | 1.27454i | ||||
\(436\) | −2324.31 | − | 8814.06i | −0.255308 | − | 0.968158i | ||||
\(437\) | − | 607.620i | − | 0.0665135i | ||||||
\(438\) | 2475.03 | + | 1970.06i | 0.270003 | + | 0.214916i | ||||
\(439\) | 12519.6i | 1.36111i | 0.732698 | + | 0.680554i | \(0.238261\pi\) | ||||
−0.732698 | + | 0.680554i | \(0.761739\pi\) | |||||||
\(440\) | 9367.15 | − | 1379.35i | 1.01491 | − | 0.149449i | ||||
\(441\) | 299.308 | − | 9468.01i | 0.0323192 | − | 1.02235i | ||||
\(442\) | −4677.80 | + | 606.415i | −0.503395 | + | 0.0652584i | ||||
\(443\) | −7308.73 | −0.783856 | −0.391928 | − | 0.919996i | \(-0.628192\pi\) | ||||
−0.391928 | + | 0.919996i | \(0.628192\pi\) | |||||||
\(444\) | 7512.70 | − | 12438.0i | 0.803011 | − | 1.32946i | ||||
\(445\) | −5618.48 | − | 1378.21i | −0.598521 | − | 0.146817i | ||||
\(446\) | −11954.2 | + | 1549.71i | −1.26917 | + | 0.164531i | ||||
\(447\) | −9853.48 | + | 9546.91i | −1.04263 | + | 1.01019i | ||||
\(448\) | −9649.15 | + | 9422.34i | −1.01759 | + | 0.993669i | ||||
\(449\) | 7884.95i | 0.828761i | 0.910104 | + | 0.414380i | \(0.136002\pi\) | ||||
−0.910104 | + | 0.414380i | \(0.863998\pi\) | |||||||
\(450\) | 3574.31 | − | 8851.52i | 0.374432 | − | 0.927254i | ||||
\(451\) | −2801.03 | −0.292451 | ||||||||
\(452\) | 11202.0 | − | 2954.02i | 1.16570 | − | 0.307401i | ||||
\(453\) | 8917.54 | + | 9203.90i | 0.924906 | + | 0.954607i | ||||
\(454\) | 12571.7 | − | 1629.75i | 1.29960 | − | 0.168475i | ||||
\(455\) | −2166.11 | + | 8830.47i | −0.223184 | + | 0.909844i | ||||
\(456\) | 222.926 | − | 506.732i | 0.0228935 | − | 0.0520393i | ||||
\(457\) | 197.196i | 0.0201847i | 0.999949 | + | 0.0100924i | \(0.00321256\pi\) | ||||
−0.999949 | + | 0.0100924i | \(0.996787\pi\) | |||||||
\(458\) | 420.982 | + | 3247.40i | 0.0429502 | + | 0.331312i | ||||
\(459\) | 5098.76 | + | 5606.61i | 0.518496 | + | 0.570140i | ||||
\(460\) | −11540.7 | + | 199.504i | −1.16976 | + | 0.0202216i | ||||
\(461\) | 8936.49 | 0.902850 | 0.451425 | − | 0.892309i | \(-0.350916\pi\) | ||||
0.451425 | + | 0.892309i | \(0.350916\pi\) | |||||||
\(462\) | 11336.1 | + | 9023.24i | 1.14156 | + | 0.908656i | ||||
\(463\) | −18183.1 | −1.82514 | −0.912571 | − | 0.408919i | \(-0.865906\pi\) | ||||
−0.912571 | + | 0.408919i | \(0.865906\pi\) | |||||||
\(464\) | −12837.4 | + | 7276.57i | −1.28440 | + | 0.728031i | ||||
\(465\) | −6211.89 | + | 3631.71i | −0.619505 | + | 0.362186i | ||||
\(466\) | −7151.37 | + | 927.079i | −0.710903 | + | 0.0921590i | ||||
\(467\) | 81.4817 | 0.00807393 | 0.00403696 | − | 0.999992i | \(-0.498715\pi\) | ||||
0.00403696 | + | 0.999992i | \(0.498715\pi\) | |||||||
\(468\) | 1495.84 | + | 6498.76i | 0.147746 | + | 0.641892i | ||||
\(469\) | 22707.5i | 2.23568i | ||||||||
\(470\) | −1438.18 | − | 161.218i | −0.141146 | − | 0.0158222i | ||||
\(471\) | −5796.03 | + | 5615.69i | −0.567021 | + | 0.549379i | ||||
\(472\) | −2185.98 | − | 5367.47i | −0.213173 | − | 0.523428i | ||||
\(473\) | −13655.0 | −1.32740 | ||||||||
\(474\) | −3912.78 | − | 3114.47i | −0.379156 | − | 0.301798i | ||||
\(475\) | 521.749 | + | 272.358i | 0.0503989 | + | 0.0263087i | ||||
\(476\) | 11006.5 | − | 2902.48i | 1.05984 | − | 0.279485i | ||||
\(477\) | −18430.1 | − | 582.622i | −1.76909 | − | 0.0559254i | ||||
\(478\) | 2004.40 | − | 259.843i | 0.191797 | − | 0.0248639i | ||||
\(479\) | −19196.4 | −1.83112 | −0.915559 | − | 0.402183i | \(-0.868252\pi\) | ||||
−0.915559 | + | 0.402183i | \(0.868252\pi\) | |||||||
\(480\) | −9697.72 | − | 4067.71i | −0.922163 | − | 0.386802i | ||||
\(481\) | −10792.1 | −1.02303 | ||||||||
\(482\) | 6535.55 | − | 847.246i | 0.617606 | − | 0.0800643i | ||||
\(483\) | −12290.7 | − | 12685.4i | −1.15786 | − | 1.19504i | ||||
\(484\) | −539.325 | + | 142.223i | −0.0506504 | + | 0.0133567i | ||||
\(485\) | −15653.5 | − | 3839.81i | −1.46555 | − | 0.359498i | ||||
\(486\) | 7188.58 | − | 7944.53i | 0.670947 | − | 0.741505i | ||||
\(487\) | 2061.46 | 0.191814 | 0.0959072 | − | 0.995390i | \(-0.469425\pi\) | ||||
0.0959072 | + | 0.995390i | \(0.469425\pi\) | |||||||
\(488\) | 3713.43 | + | 9118.00i | 0.344466 | + | 0.845804i | ||||
\(489\) | 14233.6 | + | 14690.7i | 1.31629 | + | 1.35856i | ||||
\(490\) | 1235.95 | − | 11025.6i | 0.113948 | − | 1.01650i | ||||
\(491\) | − | 10688.0i | − | 0.982371i | −0.871055 | − | 0.491186i | \(-0.836564\pi\) | ||
0.871055 | − | 0.491186i | \(-0.163436\pi\) | |||||||
\(492\) | 2663.02 | + | 1608.50i | 0.244021 | + | 0.147391i | ||||
\(493\) | 12454.5 | 1.13777 | ||||||||
\(494\) | −407.748 | + | 52.8591i | −0.0371366 | + | 0.00481426i | ||||
\(495\) | −3036.91 | + | 10882.0i | −0.275755 | + | 0.988100i | ||||
\(496\) | 3908.97 | + | 6896.23i | 0.353867 | + | 0.624294i | ||||
\(497\) | 9654.91 | 0.871392 | ||||||||
\(498\) | −5538.34 | + | 6957.93i | −0.498351 | + | 0.626089i | ||||
\(499\) | −5962.49 | −0.534906 | −0.267453 | − | 0.963571i | \(-0.586182\pi\) | ||||
−0.267453 | + | 0.963571i | \(0.586182\pi\) | |||||||
\(500\) | 5001.67 | − | 9999.16i | 0.447363 | − | 0.894352i | ||||
\(501\) | −7227.33 | − | 7459.42i | −0.644498 | − | 0.665194i | ||||
\(502\) | −1093.12 | − | 8432.16i | −0.0971876 | − | 0.749693i | ||||
\(503\) | − | 9237.66i | − | 0.818861i | −0.912341 | − | 0.409430i | \(-0.865727\pi\) | ||
0.912341 | − | 0.409430i | \(-0.134273\pi\) | |||||||
\(504\) | −5595.95 | − | 15088.4i | −0.494570 | − | 1.33352i | ||||
\(505\) | −1124.53 | + | 4584.30i | −0.0990908 | + | 0.403958i | ||||
\(506\) | 13547.3 | − | 1756.23i | 1.19022 | − | 0.154296i | ||||
\(507\) | −4641.74 | + | 4497.32i | −0.406601 | + | 0.393950i | ||||
\(508\) | 8317.23 | − | 2193.29i | 0.726412 | − | 0.191559i | ||||
\(509\) | 9365.55 | 0.815561 | 0.407781 | − | 0.913080i | \(-0.366303\pi\) | ||||
0.407781 | + | 0.913080i | \(0.366303\pi\) | |||||||
\(510\) | 5427.67 | + | 7022.93i | 0.471257 | + | 0.609766i | ||||
\(511\) | 5669.61i | 0.490820i | ||||||||
\(512\) | −4623.70 | + | 10622.6i | −0.399102 | + | 0.916906i | ||||
\(513\) | 444.442 | + | 488.709i | 0.0382507 | + | 0.0420605i | ||||
\(514\) | 21919.6 | − | 2841.58i | 1.88100 | − | 0.243846i | ||||
\(515\) | 2820.70 | − | 11499.0i | 0.241350 | − | 0.983897i | ||||
\(516\) | 12982.3 | + | 7841.43i | 1.10758 | + | 0.668992i | ||||
\(517\) | 1712.78 | 0.145702 | ||||||||
\(518\) | 25827.0 | − | 3348.13i | 2.19068 | − | 0.283993i | ||||
\(519\) | 10184.6 | + | 10511.6i | 0.861374 | + | 0.889035i | ||||
\(520\) | 1137.85 | + | 7727.14i | 0.0959576 | + | 0.651649i | ||||
\(521\) | − | 10927.3i | − | 0.918874i | −0.888210 | − | 0.459437i | \(-0.848051\pi\) | ||
0.888210 | − | 0.459437i | \(-0.151949\pi\) | |||||||
\(522\) | −1710.81 | − | 17524.5i | −0.143448 | − | 1.46940i | ||||
\(523\) | − | 5024.90i | − | 0.420122i | −0.977688 | − | 0.210061i | \(-0.932634\pi\) | ||
0.977688 | − | 0.210061i | \(-0.0673662\pi\) | |||||||
\(524\) | 1488.86 | + | 5645.91i | 0.124124 | + | 0.470693i | ||||
\(525\) | 16401.8 | − | 4867.69i | 1.36350 | − | 0.404654i | ||||
\(526\) | −1587.84 | − | 12248.4i | −0.131622 | − | 1.01531i | ||||
\(527\) | − | 6690.53i | − | 0.553025i | ||||||
\(528\) | 11942.3 | + | 3505.66i | 0.984323 | + | 0.288948i | ||||
\(529\) | −4486.47 | −0.368741 | ||||||||
\(530\) | −21461.9 | − | 2405.84i | −1.75895 | − | 0.197176i | ||||
\(531\) | 6912.03 | + | 218.507i | 0.564890 | + | 0.0178576i | ||||
\(532\) | 959.404 | − | 252.999i | 0.0781869 | − | 0.0206183i | ||||
\(533\) | − | 2310.62i | − | 0.187775i | ||||||
\(534\) | −5949.90 | − | 4735.97i | −0.482167 | − | 0.383793i | ||||
\(535\) | 2181.55 | − | 8893.42i | 0.176293 | − | 0.718684i | ||||
\(536\) | 7357.44 | + | 18065.5i | 0.592897 | + | 1.45580i | ||||
\(537\) | −3275.33 | − | 3380.50i | −0.263204 | − | 0.271656i | ||||
\(538\) | −12164.1 | + | 1576.91i | −0.974776 | + | 0.126367i | ||||
\(539\) | 13130.7i | 1.04931i | ||||||||
\(540\) | 9136.28 | − | 8601.88i | 0.728079 | − | 0.685493i | ||||
\(541\) | 4558.22i | 0.362243i | 0.983461 | + | 0.181121i | \(0.0579727\pi\) | ||||
−0.983461 | + | 0.181121i | \(0.942027\pi\) | |||||||
\(542\) | −1610.78 | − | 12425.3i | −0.127655 | − | 0.984712i | ||||
\(543\) | 632.044 | + | 652.340i | 0.0499514 | + | 0.0515554i | ||||
\(544\) | 7816.09 | − | 5875.36i | 0.616015 | − | 0.463058i | ||||
\(545\) | 12372.3 | + | 3034.93i | 0.972426 | + | 0.238536i | ||||
\(546\) | −7443.44 | + | 9351.35i | −0.583425 | + | 0.732969i | ||||
\(547\) | − | 6925.96i | − | 0.541376i | −0.962667 | − | 0.270688i | \(-0.912749\pi\) | ||
0.962667 | − | 0.270688i | \(-0.0872512\pi\) | |||||||
\(548\) | −3910.76 | + | 1031.29i | −0.304853 | + | 0.0803913i | ||||
\(549\) | −11741.8 | − | 371.189i | −0.912803 | − | 0.0288560i | ||||
\(550\) | −4564.39 | + | 12420.0i | −0.353866 | + | 0.962892i | ||||
\(551\) | 1085.61 | 0.0839360 | ||||||||
\(552\) | −13888.4 | − | 6109.88i | −1.07088 | − | 0.471112i | ||||
\(553\) | − | 8963.10i | − | 0.689240i | ||||||
\(554\) | 8483.38 | − | 1099.76i | 0.650586 | − | 0.0843397i | ||||
\(555\) | 10249.4 | + | 17531.2i | 0.783896 | + | 1.34082i | ||||
\(556\) | −5243.27 | + | 1382.68i | −0.399936 | + | 0.105465i | ||||
\(557\) | − | 13278.5i | − | 1.01010i | −0.863089 | − | 0.505052i | \(-0.831473\pi\) | ||
0.863089 | − | 0.505052i | \(-0.168527\pi\) | |||||||
\(558\) | −9414.13 | + | 919.044i | −0.714215 | + | 0.0697245i | ||||
\(559\) | − | 11264.3i | − | 0.852288i | ||||||
\(560\) | −5120.30 | − | 18139.2i | −0.386379 | − | 1.36879i | ||||
\(561\) | −7309.71 | − | 7544.44i | −0.550118 | − | 0.567783i | ||||
\(562\) | 120.279 | + | 927.813i | 0.00902784 | + | 0.0696396i | ||||
\(563\) | 14521.4 | 1.08704 | 0.543520 | − | 0.839396i | \(-0.317091\pi\) | ||||
0.543520 | + | 0.839396i | \(0.317091\pi\) | |||||||
\(564\) | −1628.39 | − | 983.566i | −0.121574 | − | 0.0734319i | ||||
\(565\) | −3857.16 | + | 15724.3i | −0.287207 | + | 1.17084i | ||||
\(566\) | 1837.02 | + | 14170.5i | 0.136424 | + | 1.05235i | ||||
\(567\) | 19164.2 | + | 1212.87i | 1.41943 | + | 0.0898337i | ||||
\(568\) | 7681.19 | − | 3128.28i | 0.567422 | − | 0.231091i | ||||
\(569\) | − | 1852.91i | − | 0.136517i | −0.997668 | − | 0.0682583i | \(-0.978256\pi\) | ||
0.997668 | − | 0.0682583i | \(-0.0217442\pi\) | |||||||
\(570\) | 473.111 | + | 612.165i | 0.0347657 | + | 0.0449838i | ||||
\(571\) | 10888.0 | 0.797980 | 0.398990 | − | 0.916955i | \(-0.369361\pi\) | ||||
0.398990 | + | 0.916955i | \(0.369361\pi\) | |||||||
\(572\) | −2357.07 | − | 8938.28i | −0.172297 | − | 0.653371i | ||||
\(573\) | −4729.44 | + | 4582.29i | −0.344808 | + | 0.334080i | ||||
\(574\) | 716.846 | + | 5529.66i | 0.0521265 | + | 0.402097i | ||||
\(575\) | 7464.71 | − | 14299.9i | 0.541391 | − | 1.03713i | ||||
\(576\) | −9340.77 | − | 10190.8i | −0.675692 | − | 0.737184i | ||||
\(577\) | 23942.9i | 1.72748i | 0.503941 | + | 0.863738i | \(0.331883\pi\) | ||||
−0.503941 | + | 0.863738i | \(0.668117\pi\) | |||||||
\(578\) | 5596.39 | − | 725.497i | 0.402732 | − | 0.0522088i | ||||
\(579\) | 8190.38 | + | 8453.39i | 0.587877 | + | 0.606755i | ||||
\(580\) | −356.447 | − | 20619.4i | −0.0255184 | − | 1.47616i | ||||
\(581\) | −15938.7 | −1.13812 | ||||||||
\(582\) | −16576.9 | − | 13194.8i | −1.18064 | − | 0.939762i | ||||
\(583\) | 25559.7 | 1.81574 | ||||||||
\(584\) | 1837.00 | + | 4510.60i | 0.130164 | + | 0.319606i | ||||
\(585\) | −8976.76 | − | 2505.20i | −0.634433 | − | 0.177055i | ||||
\(586\) | −461.730 | − | 3561.72i | −0.0325493 | − | 0.251081i | ||||
\(587\) | 10172.0 | 0.715239 | 0.357620 | − | 0.933867i | \(-0.383588\pi\) | ||||
0.357620 | + | 0.933867i | \(0.383588\pi\) | |||||||
\(588\) | 7540.32 | − | 12483.7i | 0.528839 | − | 0.875545i | ||||
\(589\) | − | 583.191i | − | 0.0407979i | ||||||
\(590\) | 8049.09 | + | 902.290i | 0.561654 | + | 0.0629605i | ||||
\(591\) | 2280.72 | + | 2353.96i | 0.158742 | + | 0.163839i | ||||
\(592\) | 19462.5 | − | 11031.9i | 1.35119 | − | 0.765890i | ||||
\(593\) | −17454.1 | −1.20869 | −0.604346 | − | 0.796722i | \(-0.706565\pi\) | ||||
−0.604346 | + | 0.796722i | \(0.706565\pi\) | |||||||
\(594\) | −9611.55 | + | 11321.7i | −0.663917 | + | 0.782046i | ||||
\(595\) | −3789.86 | + | 15449.9i | −0.261125 | + | 1.06451i | ||||
\(596\) | −20424.9 | + | 5386.14i | −1.40375 | + | 0.370176i | ||||
\(597\) | 12138.1 | + | 12527.9i | 0.832129 | + | 0.858850i | ||||
\(598\) | 1448.75 | + | 11175.5i | 0.0990697 | + | 0.764211i | ||||
\(599\) | 239.830 | 0.0163592 | 0.00817961 | − | 0.999967i | \(-0.497396\pi\) | ||||
0.00817961 | + | 0.999967i | \(0.497396\pi\) | |||||||
\(600\) | 11471.7 | − | 9186.95i | 0.780551 | − | 0.625093i | ||||
\(601\) | 387.340 | 0.0262894 | 0.0131447 | − | 0.999914i | \(-0.495816\pi\) | ||||
0.0131447 | + | 0.999914i | \(0.495816\pi\) | |||||||
\(602\) | 3494.63 | + | 26957.1i | 0.236596 | + | 1.82507i | ||||
\(603\) | −23264.1 | − | 735.438i | −1.57112 | − | 0.0496673i | ||||
\(604\) | 5031.06 | + | 19078.4i | 0.338926 | + | 1.28525i | ||||
\(605\) | 185.705 | − | 757.053i | 0.0124793 | − | 0.0508737i | ||||
\(606\) | −3864.23 | + | 4854.72i | −0.259032 | + | 0.325428i | ||||
\(607\) | 3054.14 | 0.204223 | 0.102112 | − | 0.994773i | \(-0.467440\pi\) | ||||
0.102112 | + | 0.994773i | \(0.467440\pi\) | |||||||
\(608\) | 681.303 | − | 512.135i | 0.0454448 | − | 0.0341609i | ||||
\(609\) | 22664.6 | − | 21959.4i | 1.50807 | − | 1.46115i | ||||
\(610\) | −13673.4 | − | 1532.77i | −0.907574 | − | 0.101738i | ||||
\(611\) | 1412.90i | 0.0935515i | ||||||||
\(612\) | 2617.15 | + | 11370.3i | 0.172863 | + | 0.751010i | ||||
\(613\) | 1899.37 | 0.125146 | 0.0625732 | − | 0.998040i | \(-0.480069\pi\) | ||||
0.0625732 | + | 0.998040i | \(0.480069\pi\) | |||||||
\(614\) | −1838.72 | − | 14183.6i | −0.120855 | − | 0.932256i | ||||
\(615\) | −3753.49 | + | 2194.43i | −0.246106 | + | 0.143883i | ||||
\(616\) | 8413.82 | + | 20659.4i | 0.550329 | + | 1.35128i | ||||
\(617\) | −5098.97 | −0.332701 | −0.166351 | − | 0.986067i | \(-0.553198\pi\) | ||||
−0.166351 | + | 0.986067i | \(0.553198\pi\) | |||||||
\(618\) | 9692.82 | − | 12177.3i | 0.630910 | − | 0.792626i | ||||
\(619\) | −11519.4 | −0.747988 | −0.373994 | − | 0.927431i | \(-0.622012\pi\) | ||||
−0.373994 | + | 0.927431i | \(0.622012\pi\) | |||||||
\(620\) | −11076.7 | + | 191.483i | −0.717503 | + | 0.0124035i | ||||
\(621\) | 13394.4 | − | 12181.1i | 0.865538 | − | 0.787137i | ||||
\(622\) | −8097.00 | + | 1049.67i | −0.521962 | + | 0.0676653i | ||||
\(623\) | − | 13629.6i | − | 0.876498i | ||||||
\(624\) | −2891.89 | + | 9851.43i | −0.185526 | + | 0.632008i | ||||
\(625\) | 8933.07 | + | 12819.6i | 0.571716 | + | 0.820451i | ||||
\(626\) | −2098.49 | − | 16187.5i | −0.133982 | − | 1.03352i | ||||
\(627\) | −637.163 | − | 657.623i | −0.0405834 | − | 0.0418867i | ||||
\(628\) | −12014.3 | + | 3168.24i | −0.763414 | + | 0.201316i | ||||
\(629\) | −18882.0 | −1.19694 | ||||||||
\(630\) | 22259.9 | + | 3210.37i | 1.40771 | + | 0.203023i | ||||
\(631\) | − | 11392.7i | − | 0.718757i | −0.933192 | − | 0.359379i | \(-0.882989\pi\) | ||
0.933192 | − | 0.359379i | \(-0.117011\pi\) | |||||||
\(632\) | −2904.12 | − | 7130.81i | −0.182785 | − | 0.448811i | ||||
\(633\) | 14215.9 | − | 13773.6i | 0.892625 | − | 0.864853i | ||||
\(634\) | −408.723 | − | 3152.84i | −0.0256033 | − | 0.197500i | ||||
\(635\) | −2863.86 | + | 11674.9i | −0.178974 | + | 0.729615i | ||||
\(636\) | −24300.3 | − | 14677.7i | −1.51505 | − | 0.915107i | ||||
\(637\) | −10831.8 | −0.673736 | ||||||||
\(638\) | 3137.80 | + | 24204.6i | 0.194713 | + | 1.50199i | ||||
\(639\) | −312.698 | + | 9891.56i | −0.0193586 | + | 0.612369i | ||||
\(640\) | −9950.83 | − | 12772.0i | −0.614596 | − | 0.788842i | ||||
\(641\) | 2495.47i | 0.153768i | 0.997040 | + | 0.0768838i | \(0.0244970\pi\) | ||||
−0.997040 | + | 0.0768838i | \(0.975503\pi\) | |||||||
\(642\) | 7496.50 | − | 9418.01i | 0.460846 | − | 0.578971i | ||||
\(643\) | − | 1618.30i | − | 0.0992527i | −0.998768 | − | 0.0496263i | \(-0.984197\pi\) | ||
0.998768 | − | 0.0496263i | \(-0.0158030\pi\) | |||||||
\(644\) | −6934.14 | − | 26295.1i | −0.424291 | − | 1.60896i | ||||
\(645\) | −18298.3 | + | 10697.9i | −1.11705 | + | 0.653067i | ||||
\(646\) | −713.403 | + | 92.4831i | −0.0434496 | + | 0.00563266i | ||||
\(647\) | − | 21039.5i | − | 1.27844i | −0.769025 | − | 0.639219i | \(-0.779258\pi\) | ||
0.769025 | − | 0.639219i | \(-0.220742\pi\) | |||||||
\(648\) | 15639.5 | − | 5244.43i | 0.948113 | − | 0.317933i | ||||
\(649\) | −9585.93 | −0.579785 | ||||||||
\(650\) | −10245.5 | − | 3765.25i | −0.618248 | − | 0.227208i | ||||
\(651\) | −11796.6 | − | 12175.4i | −0.710207 | − | 0.733013i | ||||
\(652\) | 8030.25 | + | 30451.7i | 0.482345 | + | 1.82911i | ||||
\(653\) | 3169.58i | 0.189947i | 0.995480 | + | 0.0949735i | \(0.0302766\pi\) | ||||
−0.995480 | + | 0.0949735i | \(0.969723\pi\) | |||||||
\(654\) | 13102.1 | + | 10429.0i | 0.783385 | + | 0.623554i | ||||
\(655\) | −7925.19 | − | 1944.05i | −0.472768 | − | 0.115970i | ||||
\(656\) | 2361.96 | + | 4166.99i | 0.140578 | + | 0.248009i | ||||
\(657\) | −5808.58 | − | 183.624i | −0.344923 | − | 0.0109039i | ||||
\(658\) | −438.339 | − | 3381.29i | −0.0259699 | − | 0.200329i | ||||
\(659\) | − | 3243.75i | − | 0.191743i | −0.995394 | − | 0.0958714i | \(-0.969436\pi\) | ||
0.995394 | − | 0.0958714i | \(-0.0305638\pi\) | |||||||
\(660\) | −12281.2 | + | 12317.7i | −0.724313 | + | 0.726466i | ||||
\(661\) | 18084.9i | 1.06418i | 0.846689 | + | 0.532088i | \(0.178592\pi\) | ||||
−0.846689 | + | 0.532088i | \(0.821408\pi\) | |||||||
\(662\) | −29247.7 | + | 3791.57i | −1.71713 | + | 0.222603i | ||||
\(663\) | 6223.55 | − | 6029.91i | 0.364559 | − | 0.353216i | ||||
\(664\) | −12680.4 | + | 5164.29i | −0.741109 | + | 0.301827i | ||||
\(665\) | −330.350 | + | 1346.72i | −0.0192638 | + | 0.0785316i | ||||
\(666\) | 2593.72 | + | 26568.5i | 0.150908 | + | 1.54581i | ||||
\(667\) | − | 29754.2i | − | 1.72727i | ||||||
\(668\) | −4077.49 | − | 15462.3i | −0.236172 | − | 0.895591i | ||||
\(669\) | 15904.4 | − | 15409.6i | 0.919133 | − | 0.890536i | ||||
\(670\) | −27091.2 | − | 3036.88i | −1.56212 | − | 0.175112i | ||||
\(671\) | 16284.1 | 0.936873 | ||||||||
\(672\) | 3864.41 | − | 24473.1i | 0.221835 | − | 1.40487i | ||||
\(673\) | − | 19706.8i | − | 1.12874i | −0.825523 | − | 0.564368i | \(-0.809120\pi\) | ||
0.825523 | − | 0.564368i | \(-0.190880\pi\) | |||||||
\(674\) | 1793.72 | + | 13836.5i | 0.102510 | + | 0.790747i | ||||
\(675\) | 4455.78 | + | 16961.5i | 0.254079 | + | 0.967184i | ||||
\(676\) | −9621.66 | + | 2537.28i | −0.547432 | + | 0.144360i | ||||
\(677\) | 22320.7i | 1.26714i | 0.773686 | + | 0.633569i | \(0.218411\pi\) | ||||
−0.773686 | + | 0.633569i | \(0.781589\pi\) | |||||||
\(678\) | −13254.4 | + | 16651.8i | −0.750785 | + | 0.943227i | ||||
\(679\) | − | 37973.1i | − | 2.14621i | ||||||
\(680\) | 1990.80 | + | 13519.5i | 0.112270 | + | 0.762426i | ||||
\(681\) | −16725.9 | + | 16205.5i | −0.941170 | + | 0.911887i | ||||
\(682\) | 13002.7 | − | 1685.62i | 0.730056 | − | 0.0946420i | ||||
\(683\) | 12949.2 | 0.725458 | 0.362729 | − | 0.931895i | \(-0.381845\pi\) | ||||
0.362729 | + | 0.931895i | \(0.381845\pi\) | |||||||
\(684\) | 228.128 | + | 991.113i | 0.0127525 | + | 0.0554037i | ||||
\(685\) | 1346.59 | − | 5489.55i | 0.0751101 | − | 0.306197i | ||||
\(686\) | 579.430 | − | 75.1153i | 0.0322489 | − | 0.00418063i | ||||
\(687\) | −4186.05 | − | 4320.48i | −0.232471 | − | 0.239937i | ||||
\(688\) | 11514.6 | + | 20314.1i | 0.638066 | + | 1.12568i | ||||
\(689\) | 21084.7i | 1.16584i | ||||||||
\(690\) | 16778.1 | − | 12966.9i | 0.925695 | − | 0.715422i | ||||
\(691\) | 14104.3 | 0.776489 | 0.388244 | − | 0.921556i | \(-0.373082\pi\) | ||||
0.388244 | + | 0.921556i | \(0.373082\pi\) | |||||||
\(692\) | 5745.89 | + | 21789.1i | 0.315645 | + | 1.19696i | ||||
\(693\) | −26604.4 | − | 841.033i | −1.45832 | − | 0.0461013i | ||||
\(694\) | 9108.70 | − | 1180.82i | 0.498216 | − | 0.0645870i | ||||
\(695\) | 1805.41 | − | 7360.00i | 0.0985366 | − | 0.401699i | ||||
\(696\) | 10916.3 | − | 24813.9i | 0.594514 | − | 1.35139i | ||||
\(697\) | − | 4042.70i | − | 0.219696i | ||||||
\(698\) | 4361.90 | + | 33647.2i | 0.236534 | + | 1.82459i | ||||
\(699\) | 9514.48 | − | 9218.46i | 0.514836 | − | 0.498818i | ||||
\(700\) | 25687.1 | + | 5832.25i | 1.38697 | + | 0.314912i | ||||
\(701\) | 26508.0 | 1.42823 | 0.714117 | − | 0.700026i | \(-0.246828\pi\) | ||||
0.714117 | + | 0.700026i | \(0.246828\pi\) | |||||||
\(702\) | −9339.49 | − | 7928.75i | −0.502131 | − | 0.426284i | ||||
\(703\) | −1645.88 | −0.0883008 | ||||||||
\(704\) | 13387.6 | + | 13709.9i | 0.716712 | + | 0.733965i | ||||
\(705\) | 2295.19 | − | 1341.85i | 0.122613 | − | 0.0716839i | ||||
\(706\) | 18664.5 | − | 2419.60i | 0.994970 | − | 0.128984i | ||||
\(707\) | −11120.8 | −0.591572 | ||||||||
\(708\) | 9113.63 | + | 5504.74i | 0.483773 | + | 0.292204i | ||||
\(709\) | − | 5707.61i | − | 0.302333i | −0.988508 | − | 0.151166i | \(-0.951697\pi\) | ||
0.988508 | − | 0.151166i | \(-0.0483029\pi\) | |||||||
\(710\) | −1291.24 | + | 11518.8i | −0.0682524 | + | 0.608862i | ||||
\(711\) | 9182.80 | + | 290.292i | 0.484362 | + | 0.0153119i | ||||
\(712\) | −4416.11 | − | 10843.3i | −0.232445 | − | 0.570747i | ||||
\(713\) | −15983.9 | −0.839555 | ||||||||
\(714\) | −13023.2 | + | 16361.3i | −0.682604 | + | 0.857570i | ||||
\(715\) | 12546.7 | + | 3077.70i | 0.656252 | + | 0.160978i | ||||
\(716\) | −1847.86 | − | 7007.30i | −0.0964494 | − | 0.365748i | ||||
\(717\) | −2666.73 | + | 2583.76i | −0.138900 | + | 0.134578i | ||||
\(718\) | −14692.6 | + | 1904.70i | −0.763683 | + | 0.0990012i | ||||
\(719\) | 6320.76 | 0.327851 | 0.163925 | − | 0.986473i | \(-0.447584\pi\) | ||||
0.163925 | + | 0.986473i | \(0.447584\pi\) | |||||||
\(720\) | 18749.6 | − | 4658.32i | 0.970496 | − | 0.241119i | ||||
\(721\) | 27894.8 | 1.44086 | ||||||||
\(722\) | 19177.0 | − | 2486.04i | 0.988496 | − | 0.128145i | ||||
\(723\) | −8695.17 | + | 8424.63i | −0.447271 | + | 0.433355i | ||||
\(724\) | 356.584 | + | 1352.21i | 0.0183043 | + | 0.0694122i | ||||
\(725\) | 25549.2 | + | 13337.0i | 1.30879 | + | 0.683203i | ||||
\(726\) | 638.139 | − | 801.708i | 0.0326220 | − | 0.0409837i | ||||
\(727\) | −7788.82 | −0.397347 | −0.198674 | − | 0.980066i | \(-0.563663\pi\) | ||||
−0.198674 | + | 0.980066i | \(0.563663\pi\) | |||||||
\(728\) | −17042.3 | + | 6940.72i | −0.867623 | + | 0.353352i | ||||
\(729\) | −1863.28 | + | 19594.6i | −0.0946642 | + | 0.995509i | ||||
\(730\) | −6764.12 | − | 758.247i | −0.342947 | − | 0.0384438i | ||||
\(731\) | − | 19708.2i | − | 0.997173i | ||||||
\(732\) | −15481.8 | − | 9351.18i | −0.781726 | − | 0.472172i | ||||
\(733\) | −37009.1 | −1.86489 | −0.932443 | − | 0.361317i | \(-0.882327\pi\) | ||||
−0.932443 | + | 0.361317i | \(0.882327\pi\) | |||||||
\(734\) | 9886.57 | − | 1281.66i | 0.497166 | − | 0.0644509i | ||||
\(735\) | 10287.1 | + | 17595.6i | 0.516251 | + | 0.883027i | ||||
\(736\) | −14036.4 | − | 18672.9i | −0.702976 | − | 0.935182i | ||||
\(737\) | 32263.8 | 1.61255 | ||||||||
\(738\) | −5688.41 | + | 555.325i | −0.283731 | + | 0.0276989i | ||||
\(739\) | 8679.66 | 0.432052 | 0.216026 | − | 0.976388i | \(-0.430690\pi\) | ||||
0.216026 | + | 0.976388i | \(0.430690\pi\) | |||||||
\(740\) | 540.403 | + | 31260.7i | 0.0268454 | + | 1.55293i | ||||
\(741\) | 542.486 | − | 525.607i | 0.0268943 | − | 0.0260576i | ||||
\(742\) | −6541.30 | − | 50458.7i | −0.323637 | − | 2.49649i | ||||
\(743\) | 18604.8i | 0.918634i | 0.888272 | + | 0.459317i | \(0.151906\pi\) | ||||
−0.888272 | + | 0.459317i | \(0.848094\pi\) | |||||||
\(744\) | −13330.0 | − | 5864.24i | −0.656857 | − | 0.288970i | ||||
\(745\) | 7032.85 | − | 28670.5i | 0.345857 | − | 1.40994i | ||||
\(746\) | −8634.77 | + | 1119.38i | −0.423782 | + | 0.0549377i | ||||
\(747\) | 516.214 | − | 16329.4i | 0.0252842 | − | 0.799814i | ||||
\(748\) | −4123.96 | − | 15638.5i | −0.201587 | − | 0.764441i | ||||
\(749\) | 21574.1 | 1.05247 | ||||||||
\(750\) | 3613.82 | + | 20219.2i | 0.175944 | + | 0.984400i | ||||
\(751\) | − | 23589.9i | − | 1.14621i | −0.819481 | − | 0.573107i | \(-0.805738\pi\) | ||
0.819481 | − | 0.573107i | \(-0.194262\pi\) | |||||||
\(752\) | −1444.30 | − | 2548.04i | −0.0700374 | − | 0.123560i | ||||
\(753\) | 10869.5 | + | 11218.5i | 0.526036 | + | 0.542928i | ||||
\(754\) | −19966.8 | + | 2588.43i | −0.964388 | + | 0.125020i | ||||
\(755\) | −26780.4 | − | 6569.22i | −1.29091 | − | 0.316660i | ||||
\(756\) | 24810.6 | + | 16077.2i | 1.19359 | + | 0.773442i | ||||
\(757\) | −28338.1 | −1.36059 | −0.680294 | − | 0.732939i | \(-0.738148\pi\) | ||||
−0.680294 | + | 0.732939i | \(0.738148\pi\) | |||||||
\(758\) | 9100.52 | − | 1179.76i | 0.436076 | − | 0.0565314i | ||||
\(759\) | −18023.9 | + | 17463.2i | −0.861960 | + | 0.835142i | ||||
\(760\) | 173.531 | + | 1178.45i | 0.00828241 | + | 0.0562459i | ||||
\(761\) | 9122.56i | 0.434550i | 0.976110 | + | 0.217275i | \(0.0697168\pi\) | ||||
−0.976110 | + | 0.217275i | \(0.930283\pi\) | |||||||
\(762\) | −9841.10 | + | 12363.6i | −0.467855 | + | 0.587777i | ||||
\(763\) | 30013.4i | 1.42406i | ||||||||
\(764\) | −9803.46 | + | 2585.22i | −0.464236 | + | 0.122421i | ||||
\(765\) | −15705.9 | − | 4383.14i | −0.742284 | − | 0.207154i | ||||
\(766\) | −1826.63 | − | 14090.4i | −0.0861603 | − | 0.664630i | ||||
\(767\) | − | 7907.61i | − | 0.372265i | ||||||
\(768\) | −4855.08 | − | 20722.3i | −0.228116 | − | 0.973634i | ||||
\(769\) | −28401.1 | −1.33182 | −0.665910 | − | 0.746032i | \(-0.731956\pi\) | ||||
−0.665910 | + | 0.746032i | \(0.731956\pi\) | |||||||
\(770\) | −30980.9 | − | 3472.91i | −1.44997 | − | 0.162539i |