Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,4,Mod(7,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.g (of order \(27\), degree \(18\), 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: | \(9.55830942093\) |
Analytic rank: | \(0\) |
Dimension: | \(252\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 7.10 | ||
Character | \(\chi\) | \(=\) | 162.7 |
Dual form | 162.4.g.b.139.10 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{8}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.19432 | − | 1.60425i | −0.422255 | − | 0.567187i | ||||
\(3\) | 2.83197 | + | 4.35660i | 0.545013 | + | 0.838427i | ||||
\(4\) | −1.14721 | + | 3.83196i | −0.143402 | + | 0.478995i | ||||
\(5\) | −15.4172 | + | 10.1401i | −1.37896 | + | 0.906955i | −0.999831 | − | 0.0183901i | \(-0.994146\pi\) |
−0.379127 | + | 0.925345i | \(0.623776\pi\) | |||||||
\(6\) | 3.60678 | − | 9.74634i | 0.245410 | − | 0.663154i | ||||
\(7\) | 13.2031 | − | 13.9945i | 0.712902 | − | 0.755632i | −0.265101 | − | 0.964221i | \(-0.585405\pi\) |
0.978004 | + | 0.208588i | \(0.0668869\pi\) | |||||||
\(8\) | 7.51754 | − | 2.73616i | 0.332232 | − | 0.120922i | ||||
\(9\) | −10.9599 | + | 24.6755i | −0.405921 | + | 0.913908i | ||||
\(10\) | 34.6802 | + | 12.6226i | 1.09668 | + | 0.399160i | ||||
\(11\) | −10.5751 | + | 5.31100i | −0.289864 | + | 0.145575i | −0.587789 | − | 0.809014i | \(-0.700002\pi\) |
0.297925 | + | 0.954589i | \(0.403705\pi\) | |||||||
\(12\) | −19.9432 | + | 5.85406i | −0.479758 | + | 0.140827i | ||||
\(13\) | −9.93593 | − | 23.0341i | −0.211979 | − | 0.491423i | 0.778740 | − | 0.627347i | \(-0.215859\pi\) |
−0.990719 | + | 0.135924i | \(0.956600\pi\) | |||||||
\(14\) | −38.2194 | − | 4.46720i | −0.729611 | − | 0.0852793i | ||||
\(15\) | −87.8373 | − | 38.4502i | −1.51197 | − | 0.661853i | ||||
\(16\) | −13.3678 | − | 8.79214i | −0.208872 | − | 0.137377i | ||||
\(17\) | −46.3907 | + | 38.9264i | −0.661847 | + | 0.555356i | −0.910640 | − | 0.413201i | \(-0.864411\pi\) |
0.248793 | + | 0.968557i | \(0.419966\pi\) | |||||||
\(18\) | 52.6752 | − | 11.8881i | 0.689759 | − | 0.155669i | ||||
\(19\) | −99.7301 | − | 83.6835i | −1.20419 | − | 1.01044i | −0.999500 | − | 0.0316105i | \(-0.989936\pi\) |
−0.204692 | − | 0.978826i | \(-0.565619\pi\) | |||||||
\(20\) | −21.1695 | − | 70.7109i | −0.236682 | − | 0.790572i | ||||
\(21\) | 98.3593 | + | 17.8887i | 1.02208 | + | 0.185887i | ||||
\(22\) | 21.1501 | + | 10.6220i | 0.204965 | + | 0.102937i | ||||
\(23\) | −61.4416 | − | 65.1243i | −0.557020 | − | 0.590406i | 0.386266 | − | 0.922387i | \(-0.373765\pi\) |
−0.943286 | + | 0.331981i | \(0.892283\pi\) | |||||||
\(24\) | 33.2098 | + | 25.0022i | 0.282455 | + | 0.212648i | ||||
\(25\) | 85.3597 | − | 197.886i | 0.682877 | − | 1.58309i | ||||
\(26\) | −25.0857 | + | 43.4497i | −0.189219 | + | 0.327738i | ||||
\(27\) | −138.539 | + | 22.1327i | −0.987478 | + | 0.157757i | ||||
\(28\) | 38.4795 | + | 66.6485i | 0.259713 | + | 0.449835i | ||||
\(29\) | 123.016 | − | 14.3785i | 0.787708 | − | 0.0920699i | 0.287279 | − | 0.957847i | \(-0.407249\pi\) |
0.500430 | + | 0.865777i | \(0.333175\pi\) | |||||||
\(30\) | 43.2220 | + | 186.834i | 0.263041 | + | 1.13704i | ||||
\(31\) | −254.207 | + | 60.2482i | −1.47280 | + | 0.349061i | −0.887143 | − | 0.461495i | \(-0.847313\pi\) |
−0.585661 | + | 0.810556i | \(0.699165\pi\) | |||||||
\(32\) | 1.86063 | + | 31.9459i | 0.0102787 | + | 0.176478i | ||||
\(33\) | −53.0862 | − | 31.0307i | −0.280034 | − | 0.163689i | ||||
\(34\) | 117.853 | + | 27.9316i | 0.594459 | + | 0.140889i | ||||
\(35\) | −61.6504 | + | 349.637i | −0.297738 | + | 1.68855i | ||||
\(36\) | −81.9823 | − | 70.3058i | −0.379548 | − | 0.325490i | ||||
\(37\) | 5.30322 | + | 30.0761i | 0.0235634 | + | 0.133634i | 0.994320 | − | 0.106431i | \(-0.0339423\pi\) |
−0.970757 | + | 0.240065i | \(0.922831\pi\) | |||||||
\(38\) | −15.1396 | + | 259.936i | −0.0646305 | + | 1.10966i | ||||
\(39\) | 72.2119 | − | 108.519i | 0.296491 | − | 0.445561i | ||||
\(40\) | −88.1547 | + | 118.412i | −0.348462 | + | 0.468066i | ||||
\(41\) | −226.069 | + | 303.663i | −0.861122 | + | 1.15669i | 0.125245 | + | 0.992126i | \(0.460028\pi\) |
−0.986367 | + | 0.164561i | \(0.947379\pi\) | |||||||
\(42\) | −88.7744 | − | 179.157i | −0.326147 | − | 0.658204i | ||||
\(43\) | 11.2621 | − | 193.363i | 0.0399409 | − | 0.685759i | −0.917608 | − | 0.397487i | \(-0.869882\pi\) |
0.957549 | − | 0.288272i | \(-0.0930807\pi\) | |||||||
\(44\) | −8.21967 | − | 46.6161i | −0.0281628 | − | 0.159719i | ||||
\(45\) | −81.2407 | − | 491.562i | −0.269126 | − | 1.62839i | ||||
\(46\) | −31.0946 | + | 176.346i | −0.0996664 | + | 0.565236i | ||||
\(47\) | 167.923 | + | 39.7985i | 0.521150 | + | 0.123515i | 0.482768 | − | 0.875748i | \(-0.339631\pi\) |
0.0383823 | + | 0.999263i | \(0.487780\pi\) | |||||||
\(48\) | 0.446567 | − | 83.1372i | 0.00134284 | − | 0.249996i | ||||
\(49\) | −1.57973 | − | 27.1228i | −0.00460561 | − | 0.0790753i | ||||
\(50\) | −419.404 | + | 99.4007i | −1.18625 | + | 0.281148i | ||||
\(51\) | −300.964 | − | 91.8671i | −0.826341 | − | 0.252235i | ||||
\(52\) | 99.6642 | − | 11.6491i | 0.265787 | − | 0.0310661i | ||||
\(53\) | 54.7426 | + | 94.8170i | 0.141877 | + | 0.245738i | 0.928203 | − | 0.372073i | \(-0.121353\pi\) |
−0.786326 | + | 0.617811i | \(0.788020\pi\) | |||||||
\(54\) | 200.966 | + | 195.818i | 0.506445 | + | 0.493471i | ||||
\(55\) | 109.184 | − | 189.113i | 0.267680 | − | 0.463635i | ||||
\(56\) | 60.9639 | − | 141.330i | 0.145476 | − | 0.337251i | ||||
\(57\) | 82.1423 | − | 671.473i | 0.190877 | − | 1.56033i | ||||
\(58\) | −169.987 | − | 180.176i | −0.384835 | − | 0.407901i | ||||
\(59\) | −194.928 | − | 97.8965i | −0.430126 | − | 0.216018i | 0.220545 | − | 0.975377i | \(-0.429216\pi\) |
−0.650672 | + | 0.759359i | \(0.725513\pi\) | |||||||
\(60\) | 248.108 | − | 292.478i | 0.533843 | − | 0.629313i | ||||
\(61\) | 254.947 | + | 851.582i | 0.535125 | + | 1.78744i | 0.612536 | + | 0.790443i | \(0.290149\pi\) |
−0.0774110 | + | 0.996999i | \(0.524665\pi\) | |||||||
\(62\) | 400.257 | + | 335.855i | 0.819881 | + | 0.687962i | ||||
\(63\) | 200.617 | + | 479.172i | 0.401196 | + | 0.958254i | ||||
\(64\) | 49.0268 | − | 41.1384i | 0.0957556 | − | 0.0803485i | ||||
\(65\) | 386.751 | + | 254.370i | 0.738009 | + | 0.485396i | ||||
\(66\) | 13.6208 | + | 122.224i | 0.0254032 | + | 0.227950i | ||||
\(67\) | 865.673 | + | 101.183i | 1.57849 | + | 0.184499i | 0.859726 | − | 0.510755i | \(-0.170634\pi\) |
0.718764 | + | 0.695254i | \(0.244708\pi\) | |||||||
\(68\) | −95.9444 | − | 222.424i | −0.171103 | − | 0.396660i | ||||
\(69\) | 109.719 | − | 452.106i | 0.191430 | − | 0.788800i | ||||
\(70\) | 634.534 | − | 318.675i | 1.08345 | − | 0.544128i | ||||
\(71\) | −426.214 | − | 155.129i | −0.712427 | − | 0.259302i | −0.0397198 | − | 0.999211i | \(-0.512647\pi\) |
−0.672708 | + | 0.739909i | \(0.734869\pi\) | |||||||
\(72\) | −14.8750 | + | 215.487i | −0.0243478 | + | 0.352714i | ||||
\(73\) | 382.299 | − | 139.146i | 0.612942 | − | 0.223093i | −0.0168481 | − | 0.999858i | \(-0.505363\pi\) |
0.629790 | + | 0.776765i | \(0.283141\pi\) | |||||||
\(74\) | 41.9157 | − | 44.4280i | 0.0658459 | − | 0.0697926i | ||||
\(75\) | 1103.85 | − | 188.530i | 1.69948 | − | 0.290261i | ||||
\(76\) | 435.083 | − | 286.159i | 0.656677 | − | 0.431903i | ||||
\(77\) | −65.2992 | + | 218.115i | −0.0966433 | + | 0.322811i | ||||
\(78\) | −260.335 | + | 13.7601i | −0.377911 | + | 0.0199746i | ||||
\(79\) | 434.018 | + | 582.987i | 0.618111 | + | 0.830268i | 0.995398 | − | 0.0958289i | \(-0.0305502\pi\) |
−0.377286 | + | 0.926097i | \(0.623143\pi\) | |||||||
\(80\) | 295.247 | 0.412620 | ||||||||
\(81\) | −488.763 | − | 540.881i | −0.670456 | − | 0.741949i | ||||
\(82\) | 757.148 | 1.01967 | ||||||||
\(83\) | −491.337 | − | 659.981i | −0.649774 | − | 0.872799i | 0.348134 | − | 0.937445i | \(-0.386815\pi\) |
−0.997908 | + | 0.0646463i | \(0.979408\pi\) | |||||||
\(84\) | −181.388 | + | 356.387i | −0.235607 | + | 0.462916i | ||||
\(85\) | 320.499 | − | 1070.54i | 0.408977 | − | 1.36608i | ||||
\(86\) | −323.653 | + | 212.870i | −0.405819 | + | 0.266911i | ||||
\(87\) | 411.020 | + | 495.213i | 0.506506 | + | 0.610257i | ||||
\(88\) | −64.9667 | + | 68.8607i | −0.0786986 | + | 0.0834157i | ||||
\(89\) | −1099.06 | + | 400.026i | −1.30899 | + | 0.476435i | −0.899916 | − | 0.436064i | \(-0.856372\pi\) |
−0.409079 | + | 0.912499i | \(0.634150\pi\) | |||||||
\(90\) | −691.559 | + | 717.410i | −0.809963 | + | 0.840241i | ||||
\(91\) | −453.536 | − | 165.073i | −0.522456 | − | 0.190158i | ||||
\(92\) | 320.040 | − | 160.730i | 0.362679 | − | 0.182144i | ||||
\(93\) | −982.384 | − | 936.856i | −1.09536 | − | 1.04460i | ||||
\(94\) | −136.707 | − | 316.922i | −0.150002 | − | 0.347744i | ||||
\(95\) | 2386.12 | + | 278.897i | 2.57695 | + | 0.301202i | ||||
\(96\) | −133.906 | + | 98.5758i | −0.142362 | + | 0.104801i | ||||
\(97\) | −870.354 | − | 572.441i | −0.911041 | − | 0.599201i | 0.00513055 | − | 0.999987i | \(-0.498367\pi\) |
−0.916172 | + | 0.400786i | \(0.868737\pi\) | |||||||
\(98\) | −41.6250 | + | 34.9275i | −0.0429057 | + | 0.0360022i | ||||
\(99\) | −15.1503 | − | 319.153i | −0.0153805 | − | 0.324001i | ||||
\(100\) | 660.365 | + | 554.112i | 0.660365 | + | 0.554112i | ||||
\(101\) | −407.553 | − | 1361.32i | −0.401516 | − | 1.34116i | −0.884914 | − | 0.465755i | \(-0.845783\pi\) |
0.483398 | − | 0.875401i | \(-0.339402\pi\) | |||||||
\(102\) | 212.069 | + | 592.539i | 0.205862 | + | 0.575197i | ||||
\(103\) | −507.960 | − | 255.107i | −0.485930 | − | 0.244043i | 0.188928 | − | 0.981991i | \(-0.439499\pi\) |
−0.674858 | + | 0.737948i | \(0.735795\pi\) | |||||||
\(104\) | −137.719 | − | 145.973i | −0.129850 | − | 0.137633i | ||||
\(105\) | −1697.82 | + | 721.576i | −1.57800 | + | 0.670653i | ||||
\(106\) | 86.7298 | − | 201.062i | 0.0794711 | − | 0.184235i | ||||
\(107\) | −629.613 | + | 1090.52i | −0.568851 | + | 0.985278i | 0.427829 | + | 0.903860i | \(0.359278\pi\) |
−0.996680 | + | 0.0814188i | \(0.974055\pi\) | |||||||
\(108\) | 74.1226 | − | 556.268i | 0.0660412 | − | 0.495619i | ||||
\(109\) | 867.223 | + | 1502.07i | 0.762063 | + | 1.31993i | 0.941785 | + | 0.336215i | \(0.109147\pi\) |
−0.179722 | + | 0.983717i | \(0.557520\pi\) | |||||||
\(110\) | −433.784 | + | 50.7021i | −0.375997 | + | 0.0439477i | ||||
\(111\) | −116.011 | + | 108.279i | −0.0992004 | + | 0.0925887i | ||||
\(112\) | −299.539 | + | 70.9919i | −0.252712 | + | 0.0598938i | ||||
\(113\) | 38.1614 | + | 655.206i | 0.0317692 | + | 0.545457i | 0.976217 | + | 0.216795i | \(0.0695605\pi\) |
−0.944448 | + | 0.328661i | \(0.893403\pi\) | |||||||
\(114\) | −1175.31 | + | 670.175i | −0.965597 | + | 0.550593i | ||||
\(115\) | 1607.62 | + | 381.013i | 1.30358 | + | 0.308954i | ||||
\(116\) | −86.0279 | + | 487.888i | −0.0688577 | + | 0.390511i | ||||
\(117\) | 677.274 | + | 7.27610i | 0.535162 | + | 0.00574936i | ||||
\(118\) | 75.7557 | + | 429.632i | 0.0591007 | + | 0.335177i | ||||
\(119\) | −67.7467 | + | 1163.17i | −0.0521877 | + | 0.896027i | ||||
\(120\) | −765.526 | − | 48.7141i | −0.582356 | − | 0.0370580i | ||||
\(121\) | −711.193 | + | 955.298i | −0.534330 | + | 0.717729i | ||||
\(122\) | 1061.66 | − | 1426.06i | 0.787854 | − | 1.05827i | ||||
\(123\) | −1963.16 | − | 124.925i | −1.43912 | − | 0.0915781i | ||||
\(124\) | 60.7611 | − | 1043.23i | 0.0440041 | − | 0.755521i | ||||
\(125\) | 290.027 | + | 1644.83i | 0.207527 | + | 1.17694i | ||||
\(126\) | 529.110 | − | 894.123i | 0.374102 | − | 0.632181i | ||||
\(127\) | −297.190 | + | 1685.45i | −0.207649 | + | 1.17763i | 0.685568 | + | 0.728008i | \(0.259554\pi\) |
−0.893217 | + | 0.449626i | \(0.851557\pi\) | |||||||
\(128\) | −124.550 | − | 29.5188i | −0.0860058 | − | 0.0203838i | ||||
\(129\) | 874.301 | − | 498.535i | 0.596728 | − | 0.340260i | ||||
\(130\) | −53.8310 | − | 924.243i | −0.0363176 | − | 0.623550i | ||||
\(131\) | 1771.88 | − | 419.944i | 1.18176 | − | 0.280081i | 0.407650 | − | 0.913138i | \(-0.366348\pi\) |
0.774105 | + | 0.633057i | \(0.218200\pi\) | |||||||
\(132\) | 179.809 | − | 167.825i | 0.118564 | − | 0.110661i | ||||
\(133\) | −2487.86 | + | 290.789i | −1.62199 | + | 0.189583i | ||||
\(134\) | −871.566 | − | 1509.60i | −0.561880 | − | 0.973204i | ||||
\(135\) | 1911.46 | − | 1746.02i | 1.21861 | − | 1.11314i | ||||
\(136\) | −242.235 | + | 419.564i | −0.152732 | + | 0.264539i | ||||
\(137\) | −633.574 | + | 1468.79i | −0.395108 | + | 0.915964i | 0.598293 | + | 0.801277i | \(0.295846\pi\) |
−0.993402 | + | 0.114687i | \(0.963413\pi\) | |||||||
\(138\) | −856.330 | + | 363.942i | −0.528229 | + | 0.224498i | ||||
\(139\) | −1649.49 | − | 1748.35i | −1.00653 | − | 1.06686i | −0.997760 | − | 0.0668973i | \(-0.978690\pi\) |
−0.00876953 | − | 0.999962i | \(-0.502791\pi\) | |||||||
\(140\) | −1269.07 | − | 637.350i | −0.766113 | − | 0.384756i | ||||
\(141\) | 302.167 | + | 844.280i | 0.180476 | + | 0.504264i | ||||
\(142\) | 260.169 | + | 869.027i | 0.153753 | + | 0.513571i | ||||
\(143\) | 227.407 | + | 190.817i | 0.132984 | + | 0.111587i | ||||
\(144\) | 363.460 | − | 233.497i | 0.210336 | − | 0.135125i | ||||
\(145\) | −1750.77 | + | 1469.07i | −1.00271 | + | 0.841376i | ||||
\(146\) | −679.811 | − | 447.118i | −0.385353 | − | 0.253451i | ||||
\(147\) | 113.690 | − | 83.6934i | 0.0637888 | − | 0.0469586i | ||||
\(148\) | −121.334 | − | 14.1819i | −0.0673892 | − | 0.00787667i | ||||
\(149\) | 739.960 | + | 1715.42i | 0.406845 | + | 0.943172i | 0.991285 | + | 0.131735i | \(0.0420549\pi\) |
−0.584440 | + | 0.811437i | \(0.698686\pi\) | |||||||
\(150\) | −1620.79 | − | 1545.68i | −0.882247 | − | 0.841359i | ||||
\(151\) | −3081.62 | + | 1547.65i | −1.66079 | + | 0.834078i | −0.664565 | + | 0.747231i | \(0.731383\pi\) |
−0.996222 | + | 0.0868473i | \(0.972321\pi\) | |||||||
\(152\) | −978.696 | − | 356.216i | −0.522255 | − | 0.190085i | ||||
\(153\) | −452.094 | − | 1571.34i | −0.238887 | − | 0.830298i | ||||
\(154\) | 427.898 | − | 155.742i | 0.223902 | − | 0.0814938i | ||||
\(155\) | 3308.24 | − | 3506.53i | 1.71435 | − | 1.81711i | ||||
\(156\) | 332.997 | + | 401.207i | 0.170904 | + | 0.205912i | ||||
\(157\) | 1870.40 | − | 1230.18i | 0.950790 | − | 0.625344i | 0.0235140 | − | 0.999724i | \(-0.492515\pi\) |
0.927276 | + | 0.374379i | \(0.122144\pi\) | |||||||
\(158\) | 416.900 | − | 1392.54i | 0.209916 | − | 0.701169i | ||||
\(159\) | −258.050 | + | 507.011i | −0.128709 | + | 0.252884i | ||||
\(160\) | −352.619 | − | 473.649i | −0.174231 | − | 0.234033i | ||||
\(161\) | −1722.60 | −0.843231 | ||||||||
\(162\) | −283.968 | + | 1430.08i | −0.137720 | + | 0.693566i | ||||
\(163\) | 1812.94 | 0.871170 | 0.435585 | − | 0.900148i | \(-0.356542\pi\) | ||||
0.435585 | + | 0.900148i | \(0.356542\pi\) | |||||||
\(164\) | −904.275 | − | 1214.65i | −0.430561 | − | 0.578344i | ||||
\(165\) | 1133.09 | − | 59.8901i | 0.534614 | − | 0.0282572i | ||||
\(166\) | −471.959 | + | 1576.45i | −0.220669 | + | 0.737087i | ||||
\(167\) | −461.542 | + | 303.561i | −0.213864 | + | 0.140660i | −0.651922 | − | 0.758286i | \(-0.726037\pi\) |
0.438058 | + | 0.898947i | \(0.355666\pi\) | |||||||
\(168\) | 788.366 | − | 134.648i | 0.362046 | − | 0.0618353i | ||||
\(169\) | 1075.83 | − | 1140.31i | 0.489680 | − | 0.519031i | ||||
\(170\) | −2100.19 | + | 764.407i | −0.947514 | + | 0.344867i | ||||
\(171\) | 3157.96 | − | 1543.73i | 1.41225 | − | 0.690363i | ||||
\(172\) | 728.041 | + | 264.985i | 0.322748 | + | 0.117470i | ||||
\(173\) | −1693.57 | + | 850.540i | −0.744274 | + | 0.373788i | −0.780170 | − | 0.625567i | \(-0.784868\pi\) |
0.0358965 | + | 0.999356i | \(0.488571\pi\) | |||||||
\(174\) | 303.555 | − | 1250.82i | 0.132255 | − | 0.544967i | ||||
\(175\) | −1642.30 | − | 3807.28i | −0.709407 | − | 1.64459i | ||||
\(176\) | 188.060 | + | 21.9811i | 0.0805431 | + | 0.00941414i | ||||
\(177\) | −125.535 | − | 1126.46i | −0.0533096 | − | 0.478362i | ||||
\(178\) | 1954.37 | + | 1285.41i | 0.822957 | + | 0.541267i | ||||
\(179\) | 3532.83 | − | 2964.40i | 1.47518 | − | 1.23782i | 0.564017 | − | 0.825763i | \(-0.309255\pi\) |
0.911158 | − | 0.412056i | \(-0.135189\pi\) | |||||||
\(180\) | 1976.84 | + | 252.615i | 0.818585 | + | 0.104604i | ||||
\(181\) | 2171.72 | + | 1822.29i | 0.891839 | + | 0.748342i | 0.968578 | − | 0.248709i | \(-0.0800064\pi\) |
−0.0767389 | + | 0.997051i | \(0.524451\pi\) | |||||||
\(182\) | 276.847 | + | 924.733i | 0.112754 | + | 0.376625i | ||||
\(183\) | −2988.00 | + | 3522.36i | −1.20699 | + | 1.42284i | ||||
\(184\) | −640.080 | − | 321.460i | −0.256453 | − | 0.128795i | ||||
\(185\) | −386.734 | − | 409.914i | −0.153693 | − | 0.162905i | ||||
\(186\) | −329.670 | + | 2694.89i | −0.129960 | + | 1.06236i | ||||
\(187\) | 283.847 | − | 658.031i | 0.111000 | − | 0.257326i | ||||
\(188\) | −345.149 | + | 597.816i | −0.133897 | + | 0.231916i | ||||
\(189\) | −1519.42 | + | 2231.01i | −0.584769 | + | 0.858635i | ||||
\(190\) | −2402.36 | − | 4161.01i | −0.917292 | − | 1.58880i | ||||
\(191\) | −794.743 | + | 92.8922i | −0.301077 | + | 0.0351908i | −0.265290 | − | 0.964169i | \(-0.585468\pi\) |
−0.0357865 | + | 0.999359i | \(0.511394\pi\) | |||||||
\(192\) | 318.066 | + | 97.0873i | 0.119554 | + | 0.0364931i | ||||
\(193\) | −1493.23 | + | 353.901i | −0.556917 | + | 0.131992i | −0.499429 | − | 0.866355i | \(-0.666457\pi\) |
−0.0574872 | + | 0.998346i | \(0.518309\pi\) | |||||||
\(194\) | 121.143 | + | 2079.94i | 0.0448326 | + | 0.769746i | ||||
\(195\) | −12.9199 | + | 2405.29i | −0.00474468 | + | 0.883314i | ||||
\(196\) | 105.746 | + | 25.0622i | 0.0385371 | + | 0.00913347i | ||||
\(197\) | −144.776 | + | 821.064i | −0.0523596 | + | 0.296946i | −0.999731 | − | 0.0231902i | \(-0.992618\pi\) |
0.947371 | + | 0.320136i | \(0.103729\pi\) | |||||||
\(198\) | −493.906 | + | 405.475i | −0.177275 | + | 0.145535i | ||||
\(199\) | −327.827 | − | 1859.20i | −0.116779 | − | 0.662288i | −0.985854 | − | 0.167607i | \(-0.946396\pi\) |
0.869075 | − | 0.494681i | \(-0.164715\pi\) | |||||||
\(200\) | 100.247 | − | 1721.17i | 0.0354427 | − | 0.608527i | ||||
\(201\) | 2010.75 | + | 4057.94i | 0.705609 | + | 1.42400i | ||||
\(202\) | −1697.15 | + | 2279.67i | −0.591144 | + | 0.794044i | ||||
\(203\) | 1422.98 | − | 1911.39i | 0.491988 | − | 0.660855i | ||||
\(204\) | 697.301 | − | 1047.89i | 0.239318 | − | 0.359642i | ||||
\(205\) | 406.188 | − | 6973.99i | 0.138387 | − | 2.37602i | ||||
\(206\) | 197.411 | + | 1119.57i | 0.0667682 | + | 0.378661i | ||||
\(207\) | 2280.37 | − | 802.350i | 0.765683 | − | 0.269407i | ||||
\(208\) | −69.6973 | + | 395.273i | −0.0232338 | + | 0.131766i | ||||
\(209\) | 1499.09 | + | 355.292i | 0.496146 | + | 0.117589i | ||||
\(210\) | 3185.32 | + | 1861.93i | 1.04670 | + | 0.611835i | ||||
\(211\) | 125.353 | + | 2152.22i | 0.0408988 | + | 0.702205i | 0.954979 | + | 0.296672i | \(0.0958769\pi\) |
−0.914081 | + | 0.405533i | \(0.867086\pi\) | |||||||
\(212\) | −426.136 | + | 100.996i | −0.138053 | + | 0.0327191i | ||||
\(213\) | −531.191 | − | 2296.17i | −0.170876 | − | 0.738642i | ||||
\(214\) | 2501.42 | − | 292.375i | 0.799037 | − | 0.0933940i | ||||
\(215\) | 1787.09 | + | 3095.32i | 0.566876 | + | 0.981858i | ||||
\(216\) | −980.916 | + | 545.449i | −0.308995 | + | 0.171820i | ||||
\(217\) | −2513.19 | + | 4352.96i | −0.786203 | + | 1.36174i | ||||
\(218\) | 1373.96 | − | 3185.19i | 0.426863 | − | 0.989580i | ||||
\(219\) | 1688.86 | + | 1271.47i | 0.521108 | + | 0.392319i | ||||
\(220\) | 599.414 | + | 635.342i | 0.183693 | + | 0.194703i | ||||
\(221\) | 1357.57 | + | 681.797i | 0.413213 | + | 0.207523i | ||||
\(222\) | 312.259 | + | 56.7908i | 0.0944030 | + | 0.0171691i | ||||
\(223\) | 769.133 | + | 2569.08i | 0.230964 | + | 0.771473i | 0.992381 | + | 0.123210i | \(0.0393189\pi\) |
−0.761417 | + | 0.648263i | \(0.775496\pi\) | |||||||
\(224\) | 471.633 | + | 395.747i | 0.140680 | + | 0.118044i | ||||
\(225\) | 3947.41 | + | 4275.10i | 1.16960 | + | 1.26670i | ||||
\(226\) | 1005.54 | − | 843.744i | 0.295961 | − | 0.248341i | ||||
\(227\) | −3950.62 | − | 2598.36i | −1.15512 | − | 0.759733i | −0.180492 | − | 0.983576i | \(-0.557769\pi\) |
−0.974625 | + | 0.223844i | \(0.928139\pi\) | |||||||
\(228\) | 2478.82 | + | 1085.09i | 0.720017 | + | 0.315183i | ||||
\(229\) | −5626.30 | − | 657.620i | −1.62356 | − | 0.189767i | −0.744889 | − | 0.667188i | \(-0.767498\pi\) |
−0.878675 | + | 0.477420i | \(0.841572\pi\) | |||||||
\(230\) | −1308.77 | − | 3034.07i | −0.375208 | − | 0.869830i | ||||
\(231\) | −1135.16 | + | 333.212i | −0.323326 | + | 0.0949080i | ||||
\(232\) | 885.438 | − | 444.684i | 0.250568 | − | 0.125840i | ||||
\(233\) | −5120.74 | − | 1863.80i | −1.43979 | − | 0.524040i | −0.500069 | − | 0.865986i | \(-0.666692\pi\) |
−0.939720 | + | 0.341945i | \(0.888914\pi\) | |||||||
\(234\) | −797.207 | − | 1095.20i | −0.222714 | − | 0.305965i | ||||
\(235\) | −2992.46 | + | 1089.17i | −0.830667 | + | 0.302338i | ||||
\(236\) | 598.759 | − | 634.648i | 0.165152 | − | 0.175051i | ||||
\(237\) | −1310.71 | + | 3541.84i | −0.359240 | + | 0.970749i | ||||
\(238\) | 1946.92 | − | 1280.51i | 0.530251 | − | 0.348752i | ||||
\(239\) | 172.664 | − | 576.739i | 0.0467311 | − | 0.156093i | −0.931439 | − | 0.363896i | \(-0.881446\pi\) |
0.978171 | + | 0.207803i | \(0.0666315\pi\) | |||||||
\(240\) | 836.132 | + | 1286.27i | 0.224884 | + | 0.345952i | ||||
\(241\) | −2082.01 | − | 2796.63i | −0.556491 | − | 0.747497i | 0.431482 | − | 0.902121i | \(-0.357991\pi\) |
−0.987973 | + | 0.154624i | \(0.950583\pi\) | |||||||
\(242\) | 2381.92 | 0.632710 | ||||||||
\(243\) | 972.237 | − | 3661.10i | 0.256663 | − | 0.966501i | ||||
\(244\) | −3555.71 | −0.932913 | ||||||||
\(245\) | 299.382 | + | 402.140i | 0.0780687 | + | 0.104864i | ||||
\(246\) | 2144.22 | + | 3298.59i | 0.555734 | + | 0.854920i | ||||
\(247\) | −936.660 | + | 3128.66i | −0.241288 | + | 0.805960i | ||||
\(248\) | −1746.16 | + | 1148.47i | −0.447103 | + | 0.294064i | ||||
\(249\) | 1483.82 | − | 4009.61i | 0.377642 | − | 1.02048i | ||||
\(250\) | 2292.32 | − | 2429.72i | 0.579917 | − | 0.614676i | ||||
\(251\) | 5367.15 | − | 1953.48i | 1.34969 | − | 0.491246i | 0.436837 | − | 0.899540i | \(-0.356098\pi\) |
0.912850 | + | 0.408294i | \(0.133876\pi\) | |||||||
\(252\) | −2066.32 | + | 219.044i | −0.516531 | + | 0.0547558i | ||||
\(253\) | 995.624 | + | 362.377i | 0.247408 | + | 0.0900493i | ||||
\(254\) | 3058.82 | − | 1536.20i | 0.755619 | − | 0.379486i | ||||
\(255\) | 5571.56 | − | 1635.46i | 1.36825 | − | 0.401633i | ||||
\(256\) | 101.396 | + | 235.063i | 0.0247550 | + | 0.0573885i | ||||
\(257\) | 4674.67 | + | 546.391i | 1.13462 | + | 0.132618i | 0.662604 | − | 0.748970i | \(-0.269451\pi\) |
0.472019 | + | 0.881588i | \(0.343525\pi\) | |||||||
\(258\) | −1843.97 | − | 807.184i | −0.444962 | − | 0.194779i | ||||
\(259\) | 490.919 | + | 322.882i | 0.117777 | + | 0.0774631i | ||||
\(260\) | −1418.42 | + | 1190.20i | −0.338334 | + | 0.283896i | ||||
\(261\) | −993.444 | + | 3193.08i | −0.235604 | + | 0.757266i | ||||
\(262\) | −2789.88 | − | 2340.99i | −0.657861 | − | 0.552011i | ||||
\(263\) | −468.865 | − | 1566.12i | −0.109929 | − | 0.367190i | 0.885268 | − | 0.465082i | \(-0.153975\pi\) |
−0.995197 | + | 0.0978921i | \(0.968790\pi\) | |||||||
\(264\) | −483.982 | − | 88.0222i | −0.112830 | − | 0.0205204i | ||||
\(265\) | −1805.43 | − | 906.720i | −0.418516 | − | 0.210186i | ||||
\(266\) | 3437.79 | + | 3643.84i | 0.792422 | + | 0.839919i | ||||
\(267\) | −4855.27 | − | 3655.31i | −1.11288 | − | 0.837833i | ||||
\(268\) | −1380.84 | + | 3201.15i | −0.314732 | + | 0.729631i | ||||
\(269\) | −1299.60 | + | 2250.96i | −0.294564 | + | 0.510200i | −0.974883 | − | 0.222716i | \(-0.928508\pi\) |
0.680319 | + | 0.732916i | \(0.261841\pi\) | |||||||
\(270\) | −5083.94 | − | 981.155i | −1.14592 | − | 0.221153i | ||||
\(271\) | −997.203 | − | 1727.21i | −0.223527 | − | 0.387160i | 0.732350 | − | 0.680929i | \(-0.238424\pi\) |
−0.955876 | + | 0.293769i | \(0.905090\pi\) | |||||||
\(272\) | 962.389 | − | 112.487i | 0.214535 | − | 0.0250755i | ||||
\(273\) | −565.242 | − | 2443.36i | −0.125311 | − | 0.541680i | ||||
\(274\) | 3112.99 | − | 737.792i | 0.686359 | − | 0.162670i | ||||
\(275\) | 148.288 | + | 2546.00i | 0.0325167 | + | 0.558290i | ||||
\(276\) | 1606.58 | + | 939.102i | 0.350380 | + | 0.204809i | ||||
\(277\) | 6542.87 | + | 1550.69i | 1.41922 | + | 0.336361i | 0.867403 | − | 0.497607i | \(-0.165788\pi\) |
0.551814 | + | 0.833967i | \(0.313936\pi\) | |||||||
\(278\) | −834.780 | + | 4734.27i | −0.180096 | + | 1.02138i | ||||
\(279\) | 1299.42 | − | 6933.00i | 0.278832 | − | 1.48770i | ||||
\(280\) | 493.203 | + | 2797.09i | 0.105266 | + | 0.596994i | ||||
\(281\) | 454.196 | − | 7798.25i | 0.0964237 | − | 1.65553i | −0.509841 | − | 0.860269i | \(-0.670296\pi\) |
0.606265 | − | 0.795263i | \(-0.292667\pi\) | |||||||
\(282\) | 993.550 | − | 1493.09i | 0.209805 | − | 0.315291i | ||||
\(283\) | 606.168 | − | 814.225i | 0.127325 | − | 0.171027i | −0.733889 | − | 0.679269i | \(-0.762297\pi\) |
0.861214 | + | 0.508242i | \(0.169704\pi\) | |||||||
\(284\) | 1083.41 | − | 1455.27i | 0.226368 | − | 0.304065i | ||||
\(285\) | 5542.37 | + | 11185.2i | 1.15194 | + | 2.32474i | ||||
\(286\) | 34.5216 | − | 592.713i | 0.00713743 | − | 0.122545i | ||||
\(287\) | 1264.80 | + | 7173.02i | 0.260134 | + | 1.47530i | ||||
\(288\) | −808.673 | − | 304.210i | −0.165457 | − | 0.0622422i | ||||
\(289\) | −216.302 | + | 1226.71i | −0.0440264 | + | 0.249686i | ||||
\(290\) | 4447.72 | + | 1054.13i | 0.900618 | + | 0.213450i | ||||
\(291\) | 29.0752 | − | 5412.91i | 0.00585711 | − | 1.09041i | ||||
\(292\) | 94.6213 | + | 1624.58i | 0.0189633 | + | 0.325588i | ||||
\(293\) | 88.0414 | − | 20.8662i | 0.0175544 | − | 0.00416046i | −0.221829 | − | 0.975086i | \(-0.571203\pi\) |
0.239384 | + | 0.970925i | \(0.423055\pi\) | |||||||
\(294\) | −270.046 | − | 82.4296i | −0.0535694 | − | 0.0163517i | ||||
\(295\) | 3997.92 | − | 467.290i | 0.789044 | − | 0.0922261i | ||||
\(296\) | 122.160 | + | 211.588i | 0.0239879 | + | 0.0415482i | ||||
\(297\) | 1347.52 | − | 969.837i | 0.263269 | − | 0.189480i | ||||
\(298\) | 1868.21 | − | 3235.83i | 0.363162 | − | 0.629016i | ||||
\(299\) | −889.598 | + | 2062.32i | −0.172063 | + | 0.398886i | ||||
\(300\) | −543.907 | + | 4446.17i | −0.104675 | + | 0.855667i | ||||
\(301\) | −2557.33 | − | 2710.61i | −0.489708 | − | 0.519060i | ||||
\(302\) | 6163.24 | + | 3095.30i | 1.17435 | + | 0.589782i | ||||
\(303\) | 4776.56 | − | 5630.78i | 0.905630 | − | 1.06759i | ||||
\(304\) | 597.415 | + | 1995.51i | 0.112711 | + | 0.376481i | ||||
\(305\) | −12565.7 | − | 10543.9i | −2.35904 | − | 1.97947i | ||||
\(306\) | −1980.88 | + | 2601.95i | −0.370063 | + | 0.486091i | ||||
\(307\) | −4607.62 | + | 3866.26i | −0.856583 | + | 0.718758i | −0.961229 | − | 0.275751i | \(-0.911073\pi\) |
0.104646 | + | 0.994510i | \(0.466629\pi\) | |||||||
\(308\) | −760.894 | − | 500.448i | −0.140766 | − | 0.0925833i | ||||
\(309\) | −327.130 | − | 2935.43i | −0.0602258 | − | 0.540424i | ||||
\(310\) | −9576.43 | − | 1119.32i | −1.75453 | − | 0.205075i | ||||
\(311\) | −1788.70 | − | 4146.67i | −0.326134 | − | 0.756065i | −0.999854 | − | 0.0170777i | \(-0.994564\pi\) |
0.673720 | − | 0.738987i | \(-0.264696\pi\) | |||||||
\(312\) | 245.931 | − | 1013.38i | 0.0446253 | − | 0.183882i | ||||
\(313\) | −490.957 | + | 246.568i | −0.0886599 | + | 0.0445267i | −0.492577 | − | 0.870269i | \(-0.663945\pi\) |
0.403917 | + | 0.914796i | \(0.367649\pi\) | |||||||
\(314\) | −4207.36 | − | 1531.35i | −0.756162 | − | 0.275221i | ||||
\(315\) | −7951.79 | − | 5353.23i | −1.42233 | − | 0.957525i | ||||
\(316\) | −2731.89 | + | 994.327i | −0.486332 | + | 0.177010i | ||||
\(317\) | 480.758 | − | 509.574i | 0.0851800 | − | 0.0902855i | −0.683381 | − | 0.730061i | \(-0.739491\pi\) |
0.768561 | + | 0.639776i | \(0.220973\pi\) | |||||||
\(318\) | 1121.56 | − | 191.556i | 0.197780 | − | 0.0337796i | ||||
\(319\) | −1224.54 | + | 805.393i | −0.214925 | + | 0.141358i | ||||
\(320\) | −338.711 | + | 1131.37i | −0.0591704 | + | 0.197643i | ||||
\(321\) | −6534.01 | + | 345.358i | −1.13612 | + | 0.0600498i | ||||
\(322\) | 2057.33 | + | 2763.48i | 0.356058 | + | 0.478269i | ||||
\(323\) | 7884.05 | 1.35814 | ||||||||
\(324\) | 2633.35 | − | 1252.41i | 0.451534 | − | 0.214748i | ||||
\(325\) | −5406.25 | −0.922722 | ||||||||
\(326\) | −2165.23 | − | 2908.41i | −0.367856 | − | 0.494116i | ||||
\(327\) | −4087.98 | + | 8031.97i | −0.691333 | + | 1.35831i | ||||
\(328\) | −868.610 | + | 2901.36i | −0.146222 | + | 0.488417i | ||||
\(329\) | 2774.07 | − | 1824.53i | 0.464861 | − | 0.305744i | ||||
\(330\) | −1449.35 | − | 1746.23i | −0.241770 | − | 0.291294i | ||||
\(331\) | 1810.55 | − | 1919.07i | 0.300656 | − | 0.318676i | −0.559379 | − | 0.828912i | \(-0.688960\pi\) |
0.860035 | + | 0.510236i | \(0.170442\pi\) | |||||||
\(332\) | 3092.69 | − | 1125.65i | 0.511245 | − | 0.186078i | ||||
\(333\) | −800.265 | − | 198.770i | −0.131694 | − | 0.0327103i | ||||
\(334\) | 1038.21 | + | 377.879i | 0.170086 | + | 0.0619061i | ||||
\(335\) | −14372.3 | + | 7218.02i | −2.34400 | + | 1.17720i | ||||
\(336\) | −1157.57 | − | 1103.92i | −0.187948 | − | 0.179238i | ||||
\(337\) | −2495.87 | − | 5786.08i | −0.403438 | − | 0.935275i | −0.991932 | − | 0.126773i | \(-0.959538\pi\) |
0.588494 | − | 0.808502i | \(-0.299721\pi\) | |||||||
\(338\) | −3114.22 | − | 364.000i | −0.501157 | − | 0.0585769i | ||||
\(339\) | −2746.40 | + | 2021.78i | −0.440011 | + | 0.323917i | ||||
\(340\) | 3734.59 | + | 2456.28i | 0.595696 | + | 0.391795i | ||||
\(341\) | 2368.28 | − | 1987.22i | 0.376098 | − | 0.315584i | ||||
\(342\) | −6248.13 | − | 3222.44i | −0.987896 | − | 0.509502i | ||||
\(343\) | 4654.88 | + | 3905.91i | 0.732770 | + | 0.614867i | ||||
\(344\) | −444.410 | − | 1484.43i | −0.0696540 | − | 0.232661i | ||||
\(345\) | 2892.82 | + | 8082.78i | 0.451432 | + | 1.26134i | ||||
\(346\) | 3387.13 | + | 1701.08i | 0.526281 | + | 0.264308i | ||||
\(347\) | 3092.86 | + | 3278.24i | 0.478482 | + | 0.507162i | 0.920981 | − | 0.389608i | \(-0.127389\pi\) |
−0.442499 | + | 0.896769i | \(0.645908\pi\) | |||||||
\(348\) | −2369.16 | + | 1006.90i | −0.364944 | + | 0.155102i | ||||
\(349\) | 4376.33 | − | 10145.5i | 0.671231 | − | 1.55609i | −0.151998 | − | 0.988381i | \(-0.548571\pi\) |
0.823230 | − | 0.567709i | \(-0.192170\pi\) | |||||||
\(350\) | −4146.39 | + | 7181.76i | −0.633239 | + | 1.09680i | ||||
\(351\) | 1886.32 | + | 2971.22i | 0.286850 | + | 0.451828i | ||||
\(352\) | −189.341 | − | 327.948i | −0.0286702 | − | 0.0496582i | ||||
\(353\) | −2326.14 | + | 271.887i | −0.350730 | + | 0.0409945i | −0.289634 | − | 0.957137i | \(-0.593534\pi\) |
−0.0610961 | + | 0.998132i | \(0.519460\pi\) | |||||||
\(354\) | −1657.20 | + | 1546.74i | −0.248811 | + | 0.232227i | ||||
\(355\) | 8144.06 | − | 1930.18i | 1.21758 | − | 0.288572i | ||||
\(356\) | −272.024 | − | 4670.48i | −0.0404979 | − | 0.695323i | ||||
\(357\) | −5259.30 | + | 2998.91i | −0.779697 | + | 0.444591i | ||||
\(358\) | −8974.95 | − | 2127.10i | −1.32497 | − | 0.314025i | ||||
\(359\) | 1996.99 | − | 11325.5i | 0.293585 | − | 1.66501i | −0.379312 | − | 0.925269i | \(-0.623839\pi\) |
0.672897 | − | 0.739736i | \(-0.265050\pi\) | |||||||
\(360\) | −1955.72 | − | 3473.05i | −0.286321 | − | 0.508460i | ||||
\(361\) | 1752.11 | + | 9936.72i | 0.255447 | + | 1.44871i | ||||
\(362\) | 329.679 | − | 5660.37i | 0.0478662 | − | 0.821830i | ||||
\(363\) | −6175.92 | − | 393.003i | −0.892981 | − | 0.0568246i | ||||
\(364\) | 1152.86 | − | 1548.56i | 0.166006 | − | 0.222984i | ||||
\(365\) | −4483.05 | + | 6021.78i | −0.642886 | + | 0.863546i | ||||
\(366\) | 9219.35 | + | 586.671i | 1.31668 | + | 0.0837863i | ||||
\(367\) | −249.167 | + | 4278.03i | −0.0354398 | + | 0.608478i | 0.933100 | + | 0.359618i | \(0.117093\pi\) |
−0.968539 | + | 0.248860i | \(0.919944\pi\) | |||||||
\(368\) | 248.757 | + | 1410.77i | 0.0352374 | + | 0.199841i | ||||
\(369\) | −5015.36 | − | 8906.47i | −0.707559 | − | 1.25651i | ||||
\(370\) | −195.720 | + | 1109.98i | −0.0275000 | + | 0.155960i | ||||
\(371\) | 2049.69 | + | 485.786i | 0.286832 | + | 0.0679804i | ||||
\(372\) | 4717.00 | − | 2689.68i | 0.657432 | − | 0.374875i | ||||
\(373\) | 407.728 | + | 7000.42i | 0.0565988 | + | 0.971765i | 0.900387 | + | 0.435089i | \(0.143283\pi\) |
−0.843789 | + | 0.536676i | \(0.819680\pi\) | |||||||
\(374\) | −1394.65 | + | 330.537i | −0.192822 | + | 0.0456997i | ||||
\(375\) | −6344.50 | + | 5921.64i | −0.873676 | + | 0.815446i | ||||
\(376\) | 1371.26 | − | 160.278i | 0.188078 | − | 0.0219832i | ||||
\(377\) | −1553.48 | − | 2690.70i | −0.212223 | − | 0.367581i | ||||
\(378\) | 5393.76 | − | 227.014i | 0.733928 | − | 0.0308898i | ||||
\(379\) | −521.414 | + | 903.115i | −0.0706682 | + | 0.122401i | −0.899194 | − | 0.437550i | \(-0.855846\pi\) |
0.828526 | + | 0.559950i | \(0.189180\pi\) | |||||||
\(380\) | −3806.10 | + | 8823.54i | −0.513813 | + | 1.19115i | ||||
\(381\) | −8184.46 | + | 3478.41i | −1.10053 | + | 0.467728i | ||||
\(382\) | 1098.20 | + | 1164.02i | 0.147091 | + | 0.155907i | ||||
\(383\) | 8161.71 | + | 4098.97i | 1.08889 | + | 0.546860i | 0.900332 | − | 0.435203i | \(-0.143323\pi\) |
0.188555 | + | 0.982063i | \(0.439620\pi\) | |||||||
\(384\) | −224.120 | − | 626.209i | −0.0297840 | − | 0.0832191i | ||||
\(385\) | −1204.96 | − | 4024.86i | −0.159508 | − | 0.532794i | ||||
\(386\) | 2351.13 | + | 1972.83i | 0.310025 | + | 0.260142i | ||||
\(387\) | 4647.91 | + | 2397.14i | 0.610508 | + | 0.314866i | ||||
\(388\) | 3192.05 | − | 2678.45i | 0.417659 | − | 0.350458i | ||||
\(389\) | −2504.01 | − | 1646.91i | −0.326370 | − | 0.214657i | 0.375740 | − | 0.926725i | \(-0.377388\pi\) |
−0.702111 | + | 0.712068i | \(0.747759\pi\) | |||||||
\(390\) | 3874.11 | − | 2851.95i | 0.503008 | − | 0.370293i | ||||
\(391\) | 5385.38 | + | 629.460i | 0.696548 | + | 0.0814147i | ||||
\(392\) | −86.0881 | − | 199.575i | −0.0110921 | − | 0.0257144i | ||||
\(393\) | 6847.44 | + | 6530.10i | 0.878900 | + | 0.838168i | ||||
\(394\) | 1490.10 | − | 748.355i | 0.190533 | − | 0.0956893i | ||||
\(395\) | −12602.9 | − | 4587.07i | −1.60536 | − | 0.584305i | ||||
\(396\) | 1240.36 | + | 308.081i | 0.157400 | + | 0.0390951i | ||||
\(397\) | 8835.27 | − | 3215.78i | 1.11695 | − | 0.406537i | 0.283413 | − | 0.958998i | \(-0.408533\pi\) |
0.833539 | + | 0.552461i | \(0.186311\pi\) | |||||||
\(398\) | −2591.09 | + | 2746.39i | −0.326330 | + | 0.345890i | ||||
\(399\) | −8312.39 | − | 10015.1i | −1.04296 | − | 1.25660i | ||||
\(400\) | −2880.91 | + | 1894.81i | −0.360114 | + | 0.236851i | ||||
\(401\) | 1315.51 | − | 4394.10i | 0.163824 | − | 0.547209i | −0.836176 | − | 0.548462i | \(-0.815214\pi\) |
0.999999 | + | 0.00125291i | \(0.000398814\pi\) | |||||||
\(402\) | 4108.45 | − | 8072.20i | 0.509729 | − | 1.00150i | ||||
\(403\) | 3913.54 | + | 5256.80i | 0.483740 | + | 0.649776i | ||||
\(404\) | 5684.08 | 0.699985 | ||||||||
\(405\) | 13019.9 | + | 3382.79i | 1.59744 | + | 0.415043i | ||||
\(406\) | −4765.83 | −0.582572 | ||||||||
\(407\) | −215.816 | − | 289.891i | −0.0262840 | − | 0.0353056i | ||||
\(408\) | −2513.87 | + | 132.872i | −0.305037 | + | 0.0161229i | ||||
\(409\) | 476.658 | − | 1592.15i | 0.0576264 | − | 0.192486i | −0.924330 | − | 0.381595i | \(-0.875375\pi\) |
0.981956 | + | 0.189109i | \(0.0605601\pi\) | |||||||
\(410\) | −11673.1 | + | 7677.52i | −1.40608 | + | 0.924795i | ||||
\(411\) | −8193.19 | + | 1399.34i | −0.983309 | + | 0.167943i | ||||
\(412\) | 1560.30 | − | 1653.82i | 0.186578 | − | 0.197762i | ||||
\(413\) | −3943.67 | + | 1435.38i | −0.469868 | + | 0.171018i | ||||
\(414\) | −4010.65 | − | 2700.01i | −0.476117 | − | 0.320527i | ||||
\(415\) | 14267.3 | + | 5192.87i | 1.68760 | + | 0.614236i | ||||
\(416\) | 717.356 | − | 360.270i | 0.0845463 | − | 0.0424608i | ||||
\(417\) | 2945.57 | − | 12137.4i | 0.345912 | − | 1.42535i | ||||
\(418\) | −1220.42 | − | 2829.25i | −0.142805 | − | 0.331060i | ||||
\(419\) | −3270.74 | − | 382.294i | −0.381351 | − | 0.0445735i | −0.0767418 | − | 0.997051i | \(-0.524452\pi\) |
−0.304609 | + | 0.952477i | \(0.598526\pi\) | |||||||
\(420\) | −817.289 | − | 7333.77i | −0.0949515 | − | 0.852027i | ||||
\(421\) | −2257.04 | − | 1484.48i | −0.261286 | − | 0.171851i | 0.412106 | − | 0.911136i | \(-0.364793\pi\) |
−0.673393 | + | 0.739285i | \(0.735164\pi\) | |||||||
\(422\) | 3302.99 | − | 2771.54i | 0.381012 | − | 0.319707i | ||||
\(423\) | −2822.46 | + | 3707.40i | −0.324427 | + | 0.426146i | ||||
\(424\) | 670.964 | + | 563.006i | 0.0768512 | + | 0.0644858i | ||||
\(425\) | 3743.10 | + | 12502.8i | 0.427216 | + | 1.42700i | ||||
\(426\) | −3049.21 | + | 3594.51i | −0.346795 | + | 0.408814i | ||||
\(427\) | 15283.6 | + | 7675.70i | 1.73214 | + | 0.869914i | ||||
\(428\) | −3456.54 | − | 3663.71i | −0.390369 | − | 0.413767i | ||||
\(429\) | −187.303 | + | 1531.11i | −0.0210794 | + | 0.172314i | ||||
\(430\) | 2831.32 | − | 6563.73i | 0.317531 | − | 0.736119i | ||||
\(431\) | −3306.18 | + | 5726.48i | −0.369497 | + | 0.639988i | −0.989487 | − | 0.144622i | \(-0.953803\pi\) |
0.619990 | + | 0.784610i | \(0.287137\pi\) | |||||||
\(432\) | 2046.56 | + | 922.192i | 0.227929 | + | 0.102706i | ||||
\(433\) | −6814.46 | − | 11803.0i | −0.756310 | − | 1.30997i | −0.944720 | − | 0.327877i | \(-0.893667\pi\) |
0.188410 | − | 0.982090i | \(-0.439667\pi\) | |||||||
\(434\) | 9984.77 | − | 1167.05i | 1.10434 | − | 0.129079i | ||||
\(435\) | −11358.3 | − | 3467.03i | −1.25192 | − | 0.382141i | ||||
\(436\) | −6750.77 | + | 1599.96i | −0.741522 | + | 0.175744i | ||||
\(437\) | 677.748 | + | 11636.5i | 0.0741902 | + | 1.27380i | ||||
\(438\) | 22.7099 | − | 4227.89i | 0.00247744 | − | 0.461224i | ||||
\(439\) | 3429.59 | + | 812.829i | 0.372860 | + | 0.0883695i | 0.412774 | − | 0.910834i | \(-0.364560\pi\) |
−0.0399135 | + | 0.999203i | \(0.512708\pi\) | |||||||
\(440\) | 303.354 | − | 1720.41i | 0.0328678 | − | 0.186403i | ||||
\(441\) | 686.584 | + | 258.282i | 0.0741371 | + | 0.0278892i | ||||
\(442\) | −527.598 | − | 2992.16i | −0.0567767 | − | 0.321996i | ||||
\(443\) | −736.200 | + | 12640.1i | −0.0789569 | + | 1.35564i | 0.693448 | + | 0.720507i | \(0.256091\pi\) |
−0.772405 | + | 0.635131i | \(0.780946\pi\) | |||||||
\(444\) | −281.830 | − | 568.767i | −0.0301240 | − | 0.0607939i | ||||
\(445\) | 12888.2 | − | 17311.9i | 1.37294 | − | 1.84418i | ||||
\(446\) | 3202.85 | − | 4302.18i | 0.340044 | − | 0.456758i | ||||
\(447\) | −5377.84 | + | 8081.73i | −0.569045 | + | 0.855151i | ||||
\(448\) | 71.5964 | − | 1229.26i | 0.00755047 | − | 0.129637i | ||||
\(449\) | −807.005 | − | 4576.75i | −0.0848216 | − | 0.481047i | −0.997395 | − | 0.0721342i | \(-0.977019\pi\) |
0.912573 | − | 0.408913i | \(-0.134092\pi\) | |||||||
\(450\) | 2143.85 | − | 11438.4i | 0.224583 | − | 1.19825i | ||||
\(451\) | 777.938 | − | 4411.90i | 0.0812232 | − | 0.460640i | ||||
\(452\) | −2554.50 | − | 605.428i | −0.265827 | − | 0.0630021i | ||||
\(453\) | −15469.5 | − | 9042.48i | −1.60446 | − | 0.937865i | ||||
\(454\) | 549.877 | + | 9441.03i | 0.0568437 | + | 0.975968i | ||||
\(455\) | 8666.11 | − | 2053.91i | 0.892909 | − | 0.211623i | ||||
\(456\) | −1219.75 | − | 5272.58i | −0.125263 | − | 0.541472i | ||||
\(457\) | −7778.56 | + | 909.184i | −0.796205 | + | 0.0930631i | −0.504462 | − | 0.863434i | \(-0.668309\pi\) |
−0.291743 | + | 0.956497i | \(0.594235\pi\) | |||||||
\(458\) | 5664.60 | + | 9811.38i | 0.577924 | + | 1.00099i | ||||
\(459\) | 5565.39 | − | 6419.59i | 0.565948 | − | 0.652813i | ||||
\(460\) | −3304.31 | + | 5723.24i | −0.334923 | + | 0.580103i | ||||
\(461\) | 117.455 | − | 272.291i | 0.0118664 | − | 0.0275095i | −0.912180 | − | 0.409790i | \(-0.865602\pi\) |
0.924046 | + | 0.382281i | \(0.124861\pi\) | |||||||
\(462\) | 1890.30 | + | 1423.12i | 0.190356 | + | 0.143311i | ||||
\(463\) | 3432.30 | + | 3638.02i | 0.344519 | + | 0.365169i | 0.876344 | − | 0.481685i | \(-0.159975\pi\) |
−0.531825 | + | 0.846854i | \(0.678494\pi\) | |||||||
\(464\) | −1770.88 | − | 889.367i | −0.177178 | − | 0.0889824i | ||||
\(465\) | 24645.4 | + | 4482.28i | 2.45786 | + | 0.447012i | ||||
\(466\) | 3125.80 | + | 10440.9i | 0.310729 | + | 1.03791i | ||||
\(467\) | −7226.01 | − | 6063.34i | −0.716016 | − | 0.600809i | 0.210264 | − | 0.977645i | \(-0.432568\pi\) |
−0.926280 | + | 0.376836i | \(0.877012\pi\) | |||||||
\(468\) | −804.859 | + | 2586.94i | −0.0794971 | + | 0.255516i | ||||
\(469\) | 12845.6 | − | 10778.7i | 1.26472 | − | 1.06123i | ||||
\(470\) | 5321.24 | + | 3499.84i | 0.522235 | + | 0.343480i | ||||
\(471\) | 10656.3 | + | 4664.73i | 1.04250 | + | 0.456347i | ||||
\(472\) | −1733.24 | − | 202.587i | −0.169023 | − | 0.0197559i | ||||
\(473\) | 907.855 | + | 2104.64i | 0.0882520 | + | 0.204591i | ||||
\(474\) | 7247.40 | − | 2127.38i | 0.702287 | − | 0.206147i | ||||
\(475\) | −25072.7 | + | 12592.0i | −2.42193 | + | 1.21634i | ||||
\(476\) | −4379.48 | − | 1594.00i | −0.421709 | − | 0.153489i | ||||
\(477\) | −2939.63 | + | 311.621i | −0.282173 | + | 0.0299123i | ||||
\(478\) | −1131.45 | + | 411.813i | −0.108266 | + | 0.0394057i | ||||
\(479\) | −5614.14 | + | 5950.64i | −0.535525 | + | 0.567623i | −0.937481 | − | 0.348036i | \(-0.886849\pi\) |
0.401956 | + | 0.915659i | \(0.368330\pi\) | |||||||
\(480\) | 1064.89 | − | 2877.58i | 0.101261 | − | 0.273631i | ||||
\(481\) | 640.082 | − | 420.988i | 0.0606761 | − | 0.0399073i | ||||
\(482\) | −1999.90 | + | 6680.13i | −0.188989 | + | 0.631269i | ||||
\(483\) | −4878.36 | − | 7504.69i | −0.459572 | − | 0.706988i | ||||
\(484\) | −2844.77 | − | 3821.19i | −0.267165 | − | 0.358865i | ||||
\(485\) | 19223.0 | 1.79974 | ||||||||
\(486\) | −7034.47 | + | 2812.81i | −0.656564 | + | 0.262534i | ||||
\(487\) | −4637.29 | −0.431490 | −0.215745 | − | 0.976450i | \(-0.569218\pi\) | ||||
−0.215745 | + | 0.976450i | \(0.569218\pi\) | |||||||
\(488\) | 4246.64 | + | 5704.23i | 0.393927 | + | 0.529136i | ||||
\(489\) | 5134.21 | + | 7898.26i | 0.474799 | + | 0.730413i | ||||
\(490\) | 287.575 | − | 960.566i | 0.0265128 | − | 0.0885591i | ||||
\(491\) | 2248.18 | − | 1478.65i | 0.206637 | − | 0.135907i | −0.441973 | − | 0.897029i | \(-0.645721\pi\) |
0.648610 | + | 0.761121i | \(0.275351\pi\) | |||||||
\(492\) | 2730.87 | − | 7379.42i | 0.250238 | − | 0.676199i | ||||
\(493\) | −5147.11 | + | 5455.62i | −0.470211 | + | 0.498395i | ||||
\(494\) | 6137.81 | − | 2233.98i | 0.559015 | − | 0.203465i | ||||
\(495\) | 3469.81 | + | 4766.83i | 0.315063 | + | 0.432834i | ||||
\(496\) | 3927.90 | + | 1429.64i | 0.355580 | + | 0.129421i | ||||
\(497\) | −7798.32 | + | 3916.47i | −0.703828 | + | 0.353476i | ||||
\(498\) | −8204.54 | + | 2408.34i | −0.738262 | + | 0.216707i | ||||
\(499\) | −339.360 | − | 786.725i | −0.0304446 | − | 0.0705785i | 0.902315 | − | 0.431076i | \(-0.141866\pi\) |
−0.932760 | + | 0.360498i | \(0.882607\pi\) | |||||||
\(500\) | −6635.63 | − | 775.594i | −0.593509 | − | 0.0693713i | ||||
\(501\) | −2629.57 | − | 1151.08i | −0.234492 | − | 0.102647i | ||||
\(502\) | −9543.95 | − | 6277.16i | −0.848541 | − | 0.558094i | ||||
\(503\) | 13824.8 | − | 11600.4i | 1.22548 | − | 1.02830i | 0.226962 | − | 0.973904i | \(-0.427121\pi\) |
0.998519 | − | 0.0543976i | \(-0.0173239\pi\) | |||||||
\(504\) | 2819.24 | + | 3053.27i | 0.249164 | + | 0.269849i | ||||
\(505\) | 20087.2 | + | 16855.2i | 1.77004 | + | 1.48524i | ||||
\(506\) | −607.748 | − | 2030.02i | −0.0533946 | − | 0.178351i | ||||
\(507\) | 8014.58 | + | 1457.62i | 0.702052 | + | 0.127683i | ||||
\(508\) | −6117.64 | − | 3072.39i | −0.534304 | − | 0.268337i | ||||
\(509\) | 10589.4 | + | 11224.2i | 0.922139 | + | 0.977411i | 0.999809 | − | 0.0195686i | \(-0.00622927\pi\) |
−0.0776692 | + | 0.996979i | \(0.524748\pi\) | |||||||
\(510\) | −9277.90 | − | 6984.91i | −0.805553 | − | 0.606464i | ||||
\(511\) | 3100.28 | − | 7187.25i | 0.268392 | − | 0.622202i | ||||
\(512\) | 256.000 | − | 443.405i | 0.0220971 | − | 0.0382733i | ||||
\(513\) | 15668.7 | + | 9386.16i | 1.34852 | + | 0.807815i | ||||
\(514\) | −4706.50 | − | 8151.89i | −0.403881 | − | 0.699542i | ||||
\(515\) | 10418.1 | − | 1217.70i | 0.891413 | − | 0.104191i | ||||
\(516\) | 907.358 | + | 3922.21i | 0.0774112 | + | 0.334623i | ||||
\(517\) | −1987.17 | + | 470.967i | −0.169043 | + | 0.0400640i | ||||
\(518\) | −68.3299 | − | 1173.18i | −0.00579583 | − | 0.0995106i | ||||
\(519\) | −8501.59 | − | 4969.47i | −0.719034 | − | 0.420300i | ||||
\(520\) | 3603.42 | + | 854.025i | 0.303885 | + | 0.0720221i | ||||
\(521\) | −3248.19 | + | 18421.4i | −0.273139 | + | 1.54905i | 0.471671 | + | 0.881774i | \(0.343651\pi\) |
−0.744811 | + | 0.667276i | \(0.767460\pi\) | |||||||
\(522\) | 6308.97 | − | 2219.82i | 0.528996 | − | 0.186128i | ||||
\(523\) | −1091.00 | − | 6187.36i | −0.0912162 | − | 0.517313i | −0.995841 | − | 0.0911046i | \(-0.970960\pi\) |
0.904625 | − | 0.426208i | \(-0.140151\pi\) | |||||||
\(524\) | −423.519 | + | 7271.54i | −0.0353082 | + | 0.606219i | ||||
\(525\) | 11935.8 | − | 17937.0i | 0.992234 | − | 1.49111i | ||||
\(526\) | −1952.46 | + | 2622.62i | −0.161847 | + | 0.217398i | ||||
\(527\) | 9447.60 | − | 12690.3i | 0.780918 | − | 1.04896i | ||||
\(528\) | 436.819 | + | 881.554i | 0.0360040 | + | 0.0726604i | ||||
\(529\) | 241.345 | − | 4143.74i | 0.0198361 | − | 0.340572i | ||||
\(530\) | 701.652 | + | 3979.26i | 0.0575053 | + | 0.326129i | ||||
\(531\) | 4552.03 | − | 3737.02i | 0.372018 | − | 0.305410i | ||||
\(532\) | 1739.81 | − | 9866.96i | 0.141786 | − | 0.804111i | ||||
\(533\) | 9240.79 | + | 2190.11i | 0.750963 | + | 0.177981i | ||||
\(534\) | −65.2881 | + | 12154.7i | −0.00529081 | + | 0.984987i | ||||
\(535\) | −1351.08 | − | 23197.1i | −0.109182 | − | 1.87458i | ||||
\(536\) | 6784.59 | − | 1607.98i | 0.546734 | − | 0.129578i | ||||
\(537\) | 22919.6 | + | 6996.03i | 1.84181 | + | 0.562200i | ||||
\(538\) | 5163.23 | − | 603.495i | 0.413760 | − | 0.0483616i | ||||
\(539\) | 160.755 | + | 278.436i | 0.0128464 | + | 0.0222506i | ||||
\(540\) | 4497.83 | + | 9327.71i | 0.358436 | + | 0.743334i | ||||
\(541\) | −609.853 | + | 1056.30i | −0.0484651 | + | 0.0839440i | −0.889240 | − | 0.457440i | \(-0.848766\pi\) |
0.840775 | + | 0.541384i | \(0.182100\pi\) | |||||||
\(542\) | −1579.89 | + | 3662.59i | −0.125207 | + | 0.290262i | ||||
\(543\) | −1788.73 | + | 14622.0i | −0.141366 | + | 1.15560i | ||||
\(544\) | −1329.85 | − | 1409.56i | −0.104811 | − | 0.111093i | ||||
\(545\) | −28601.3 | − | 14364.1i | −2.24797 | − | 1.12897i | ||||
\(546\) | −3244.67 | + | 3824.93i | −0.254320 | + | 0.299802i | ||||
\(547\) | 4060.38 | + | 13562.6i | 0.317384 | + | 1.06014i | 0.956672 | + | 0.291169i | \(0.0940443\pi\) |
−0.639287 | + | 0.768968i | \(0.720770\pi\) | |||||||
\(548\) | −4901.49 | − | 4112.84i | −0.382083 | − | 0.320606i | ||||
\(549\) | −23807.4 | − | 3042.28i | −1.85078 | − | 0.236505i | ||||
\(550\) | 3907.31 | − | 3278.62i | 0.302924 | − | 0.254184i | ||||
\(551\) | −13471.7 | − | 8860.45i | −1.04158 | − | 0.685060i | ||||
\(552\) | −412.216 | − | 3698.94i | −0.0317846 | − | 0.285212i | ||||
\(553\) | 13889.0 | + | 1623.39i | 1.06803 | + | 0.124835i | ||||
\(554\) | −5326.58 | − | 12348.4i | −0.408492 | − | 0.946991i | ||||
\(555\) | 690.610 | − | 2845.71i | 0.0528194 | − | 0.217646i | ||||
\(556\) | 8591.93 | − | 4315.03i | 0.655358 | − | 0.329133i | ||||
\(557\) | −398.549 | − | 145.060i | −0.0303179 | − | 0.0110348i | 0.326817 | − | 0.945088i | \(-0.394024\pi\) |
−0.357135 | + | 0.934053i | \(0.616246\pi\) | |||||||
\(558\) | −12674.2 | + | 6195.61i | −0.961541 | + | 0.470038i | ||||
\(559\) | −4565.85 | + | 1661.83i | −0.345465 | + | 0.125739i | ||||
\(560\) | 3898.19 | − | 4131.84i | 0.294158 | − | 0.311789i | ||||
\(561\) | 3670.62 | − | 626.919i | 0.276245 | − | 0.0471810i | ||||
\(562\) | −13052.8 | + | 8584.94i | −0.979711 | + | 0.644366i | ||||
\(563\) | −4677.92 | + | 15625.3i | −0.350179 | + | 1.16968i | 0.583663 | + | 0.811996i | \(0.301619\pi\) |
−0.933843 | + | 0.357684i | \(0.883566\pi\) | |||||||
\(564\) | −3581.90 | + | 189.323i | −0.267420 | + | 0.0141346i | ||||
\(565\) | −7232.18 | − | 9714.50i | −0.538513 | − | 0.723349i | ||||
\(566\) | −2030.17 | −0.150768 | ||||||||
\(567\) | −14022.6 | − | 301.329i | −1.03861 | − | 0.0223186i | ||||
\(568\) | −3628.54 | −0.268046 | ||||||||
\(569\) | −9798.65 | − | 13161.9i | −0.721935 | − | 0.969726i | −0.999958 | − | 0.00915211i | \(-0.997087\pi\) |
0.278024 | − | 0.960574i | \(-0.410321\pi\) | |||||||
\(570\) | 11324.4 | − | 22250.0i | 0.832154 | − | 1.63500i | ||||
\(571\) | −3186.19 | + | 10642.6i | −0.233516 | + | 0.779999i | 0.758253 | + | 0.651961i | \(0.226053\pi\) |
−0.991769 | + | 0.128038i | \(0.959132\pi\) | |||||||
\(572\) | −992.087 | + | 652.506i | −0.0725197 | + | 0.0476969i | ||||
\(573\) | −2655.39 | − | 3199.31i | −0.193596 | − | 0.233251i | ||||
\(574\) | 9996.72 | − | 10595.9i | 0.726925 | − | 0.770496i | ||||
\(575\) | −18131.8 | + | 6599.44i | −1.31504 | + | 0.478636i | ||||
\(576\) | 477.784 | + | 1660.63i | 0.0345619 | + | 0.120127i | ||||
\(577\) | −14032.1 | − | 5107.26i | −1.01241 | − | 0.368489i | −0.218055 | − | 0.975936i | \(-0.569971\pi\) |
−0.794360 | + | 0.607448i | \(0.792193\pi\) | |||||||
\(578\) | 2226.28 | − | 1118.08i | 0.160209 | − | 0.0804601i | ||||
\(579\) | −5770.59 | − | 5503.15i | −0.414192 | − | 0.394997i | ||||
\(580\) | −3620.91 | − | 8394.21i | −0.259224 | − | 0.600949i | ||||
\(581\) | −15723.3 | − | 1837.79i | −1.12274 | − | 0.131230i | ||||
\(582\) | −8718.37 | + | 6418.09i | −0.620942 | + | 0.457111i | ||||
\(583\) | −1082.48 | − | 711.958i | −0.0768983 | − | 0.0505768i | ||||
\(584\) | 2493.23 | − | 2092.07i | 0.176662 | − | 0.148237i | ||||
\(585\) | −10515.5 | + | 6755.42i | −0.743181 | + | 0.477440i | ||||
\(586\) | −138.624 | − | 116.319i | −0.00977218 | − | 0.00819984i | ||||
\(587\) | −5613.75 | − | 18751.2i | −0.394726 | − | 1.31848i | −0.892452 | − | 0.451142i | \(-0.851017\pi\) |
0.497726 | − | 0.867334i | \(-0.334169\pi\) | |||||||
\(588\) | 190.283 | + | 531.668i | 0.0133455 | + | 0.0372884i | ||||
\(589\) | 30393.9 | + | 15264.4i | 2.12624 | + | 1.06784i | ||||
\(590\) | −5524.44 | − | 5855.56i | −0.385487 | − | 0.408593i | ||||
\(591\) | −3987.05 | + | 1694.50i | −0.277505 | + | 0.117940i | ||||
\(592\) | 193.541 | − | 448.678i | 0.0134366 | − | 0.0311496i | ||||
\(593\) | −11464.5 | + | 19857.1i | −0.793915 | + | 1.37510i | 0.129611 | + | 0.991565i | \(0.458627\pi\) |
−0.923526 | + | 0.383536i | \(0.874706\pi\) | |||||||
\(594\) | −3165.22 | − | 1003.45i | −0.218637 | − | 0.0693136i | ||||
\(595\) | −10750.1 | − | 18619.7i | −0.740692 | − | 1.28292i | ||||
\(596\) | −7422.31 | + | 867.543i | −0.510117 | + | 0.0596241i | ||||
\(597\) | 7171.39 | − | 6693.42i | 0.491634 | − | 0.458867i | ||||
\(598\) | 4370.93 | − | 1035.93i | 0.298897 | − | 0.0708400i | ||||
\(599\) | 319.301 | + | 5482.18i | 0.0217801 | + | 0.373950i | 0.991532 | + | 0.129859i | \(0.0414524\pi\) |
−0.969752 | + | 0.244091i | \(0.921511\pi\) | |||||||
\(600\) | 7782.36 | − | 4437.58i | 0.529522 | − | 0.301939i | ||||
\(601\) | 14745.0 | + | 3494.63i | 1.00077 | + | 0.237186i | 0.698170 | − | 0.715932i | \(-0.253998\pi\) |
0.302598 | + | 0.953118i | \(0.402146\pi\) | |||||||
\(602\) | −1294.23 | + | 7339.92i | −0.0876224 | + | 0.496931i | ||||
\(603\) | −11984.4 | + | 20252.0i | −0.809357 | + | 1.36770i | ||||
\(604\) | −2395.25 | − | 13584.1i | −0.161360 | − | 0.915116i | ||||
\(605\) | 1277.83 | − | 21939.6i | 0.0858700 | − | 1.47433i | ||||
\(606\) | −14737.9 | − | 937.841i | −0.987929 | − | 0.0628666i | ||||
\(607\) | −15699.2 | + | 21087.7i | −1.04977 | + | 1.41008i | −0.142371 | + | 0.989813i | \(0.545472\pi\) |
−0.907399 | + | 0.420271i | \(0.861935\pi\) | |||||||
\(608\) | 2487.78 | − | 3341.67i | 0.165942 | − | 0.222899i | ||||
\(609\) | 12357.0 | + | 786.335i | 0.822219 | + | 0.0523217i | ||||
\(610\) | −1907.54 | + | 32751.1i | −0.126613 | + | 2.17386i | ||||
\(611\) | −751.749 | − | 4263.38i | −0.0497750 | − | 0.282288i | ||||
\(612\) | 6539.97 | + | 70.2603i | 0.431965 | + | 0.00464069i | ||||
\(613\) | −1631.09 | + | 9250.39i | −0.107470 | + | 0.609494i | 0.882735 | + | 0.469872i | \(0.155700\pi\) |
−0.990205 | + | 0.139622i | \(0.955411\pi\) | |||||||
\(614\) | 11705.4 | + | 2774.23i | 0.769367 | + | 0.182343i | ||||
\(615\) | 31533.2 | − | 17980.5i | 2.06754 | − | 1.17894i | ||||
\(616\) | 105.907 | + | 1818.35i | 0.00692714 | + | 0.118934i | ||||
\(617\) | −2666.23 | + | 631.909i | −0.173968 | + | 0.0412313i | −0.316677 | − | 0.948534i | \(-0.602567\pi\) |
0.142708 | + | 0.989765i | \(0.454419\pi\) | |||||||
\(618\) | −4318.46 | + | 4030.63i | −0.281090 | + | 0.262356i | ||||
\(619\) | −27771.0 | + | 3245.96i | −1.80325 | + | 0.210769i | −0.950323 | − | 0.311267i | \(-0.899247\pi\) |
−0.852923 | + | 0.522036i | \(0.825173\pi\) | |||||||
\(620\) | 9641.63 | + | 16699.8i | 0.624544 | + | 1.08174i | ||||
\(621\) | 9953.45 | + | 7662.41i | 0.643185 | + | 0.495140i | ||||
\(622\) | −4516.01 | + | 7821.95i | −0.291118 | + | 0.504231i | ||||
\(623\) | −8912.91 | + | 20662.4i | −0.573175 | + | 1.32877i | ||||
\(624\) | −1919.43 | + | 815.759i | −0.123139 | + | 0.0523341i | ||||
\(625\) | −2663.46 | − | 2823.10i | −0.170461 | − | 0.180678i | ||||
\(626\) | 981.914 | + | 493.136i | 0.0626920 | + | 0.0314851i | ||||
\(627\) | 2697.53 | + | 7537.13i | 0.171817 | + | 0.480070i | ||||
\(628\) | 2568.25 | + | 8578.56i | 0.163192 | + | 0.545099i | ||||
\(629\) | −1416.77 | − | 1188.81i | −0.0898100 | − | 0.0753595i | ||||
\(630\) | 909.063 | + | 19150.1i | 0.0574888 | + | 1.21104i | ||||
\(631\) | 2986.91 | − | 2506.31i | 0.188442 | − | 0.158122i | −0.543686 | − | 0.839289i | \(-0.682972\pi\) |
0.732128 | + | 0.681167i | \(0.238527\pi\) | |||||||
\(632\) | 4857.89 | + | 3195.09i | 0.305754 | + | 0.201098i | ||||
\(633\) | −9021.38 | + | 6641.15i | −0.566458 | + | 0.417002i | ||||
\(634\) | −1391.66 | − | 162.662i | −0.0871764 | − | 0.0101895i | ||||
\(635\) | −12508.7 | − | 28998.5i | −0.781722 | − | 1.81224i | ||||
\(636\) | −1646.81 | − | 1570.49i | −0.102673 | − | 0.0979148i | ||||
\(637\) | −609.053 | + | 305.878i | −0.0378832 | + | 0.0190256i | ||||
\(638\) | 2754.54 | + | 1002.57i | 0.170930 | + | 0.0622134i | ||||
\(639\) | 8499.15 | − | 8816.87i | 0.526168 | − | 0.545837i | ||||
\(640\) | 2219.53 | − | 807.844i | 0.137086 | − | 0.0498951i | ||||
\(641\) | 5433.44 | − | 5759.11i | 0.334802 | − | 0.354869i | −0.537999 | − | 0.842945i | \(-0.680820\pi\) |
0.872801 | + | 0.488076i | \(0.162301\pi\) | |||||||
\(642\) | 8357.72 | + | 10069.7i | 0.513790 | + | 0.619033i | ||||
\(643\) | 7781.32 | − | 5117.86i | 0.477240 | − | 0.313886i | −0.288000 | − | 0.957630i | \(-0.592990\pi\) |
0.765240 | + | 0.643745i | \(0.222620\pi\) | |||||||
\(644\) | 1976.19 | − | 6600.94i | 0.120921 | − | 0.403903i | ||||
\(645\) | −8424.10 | + | 16551.5i | −0.514261 | + | 1.01041i | ||||
\(646\) | −9416.06 | − | 12648.0i | −0.573483 | − | 0.770321i | ||||
\(647\) | 10893.0 | 0.661900 | 0.330950 | − | 0.943648i | \(-0.392631\pi\) | ||||
0.330950 | + | 0.943648i | \(0.392631\pi\) | |||||||
\(648\) | −5154.23 | − | 2728.76i | −0.312465 | − | 0.165426i | ||||
\(649\) | 2581.30 | 0.156125 | ||||||||
\(650\) | 6456.77 | + | 8672.95i | 0.389624 | + | 0.523356i | ||||
\(651\) | −26081.4 | + | 1378.54i | −1.57021 | + | 0.0829943i | ||||
\(652\) | −2079.83 | + | 6947.12i | −0.124927 | + | 0.417286i | ||||
\(653\) | −20475.8 | + | 13467.1i | −1.22707 | + | 0.807060i | −0.986530 | − | 0.163579i | \(-0.947696\pi\) |
−0.240544 | + | 0.970638i | \(0.577326\pi\) | |||||||
\(654\) | 17767.6 | − | 3034.60i | 1.06234 | − | 0.181441i | ||||
\(655\) | −23059.2 | + | 24441.3i | −1.37557 | + | 1.45802i | ||||
\(656\) | 5691.89 | − | 2071.68i | 0.338767 | − | 0.123301i | ||||
\(657\) | −756.460 | + | 10958.5i | −0.0449198 | + | 0.650731i | ||||
\(658\) | −6240.12 | − | 2271.22i | −0.369704 | − | 0.134561i | ||||
\(659\) | 17170.3 | − | 8623.23i | 1.01496 | − | 0.509732i | 0.138069 | − | 0.990423i | \(-0.455910\pi\) |
0.876890 | + | 0.480691i | \(0.159614\pi\) | |||||||
\(660\) | −1070.40 | + | 4410.68i | −0.0631294 | + | 0.260129i | ||||
\(661\) | −2842.19 | − | 6588.93i | −0.167244 | − | 0.387715i | 0.813897 | − | 0.581009i | \(-0.197342\pi\) |
−0.981141 | + | 0.193294i | \(0.938083\pi\) | |||||||
\(662\) | −5241.04 | − | 612.590i | −0.307702 | − | 0.0359652i | ||||
\(663\) | 874.285 | + | 7845.21i | 0.0512133 | + | 0.459552i | ||||
\(664\) | −5499.46 | − | 3617.05i | −0.321416 | − | 0.211399i | ||||
\(665\) | 35407.2 | − | 29710.2i | 2.06471 | − | 1.73250i | ||||
\(666\) | 636.895 | + | 1521.22i | 0.0370558 | + | 0.0885074i | ||||
\(667\) | −8494.70 | − | 7127.90i | −0.493128 | − | 0.413783i | ||||
\(668\) | −633.746 | − | 2116.86i | −0.0367072 | − | 0.122610i | ||||
\(669\) | −9014.29 | + | 10626.4i | −0.520946 | + | 0.614109i | ||||
\(670\) | 28744.5 | + | 14436.0i | 1.65746 | + | 0.832408i | ||||
\(671\) | −7218.83 | − | 7651.52i | −0.415320 | − | 0.440214i | ||||
\(672\) | −388.458 | + | 3175.46i | −0.0222993 | + | 0.182286i | ||||
\(673\) | −10431.7 | + | 24183.5i | −0.597494 | + | 1.38515i | 0.304131 | + | 0.952630i | \(0.401634\pi\) |
−0.901626 | + | 0.432517i | \(0.857625\pi\) | |||||||
\(674\) | −6301.43 | + | 10914.4i | −0.360122 | + | 0.623749i | ||||
\(675\) | −7445.92 | + | 29304.2i | −0.424583 | + | 1.67099i | ||||
\(676\) | 3135.42 | + | 5430.70i | 0.178392 | + | 0.308984i | ||||
\(677\) | 1365.26 | − | 159.577i | 0.0775058 | − | 0.00905912i | −0.0772516 | − | 0.997012i | \(-0.524614\pi\) |
0.154757 | + | 0.987953i | \(0.450540\pi\) | |||||||
\(678\) | 6523.50 | + | 1991.25i | 0.369519 | + | 0.112793i | ||||
\(679\) | −19502.4 | + | 4622.16i | −1.10226 | + | 0.261240i | ||||
\(680\) | −519.809 | − | 8924.78i | −0.0293144 | − | 0.503308i | ||||
\(681\) | 131.975 | − | 24569.7i | 0.00742628 | − | 1.38255i | ||||
\(682\) | −6016.47 | − | 1425.93i | −0.337804 | − | 0.0800610i | ||||
\(683\) | 3244.80 | − | 18402.2i | 0.181784 | − | 1.03095i | −0.748233 | − | 0.663436i | \(-0.769098\pi\) |
0.930018 | − | 0.367515i | \(-0.119791\pi\) | |||||||
\(684\) | 2292.66 | + | 13872.2i | 0.128161 | + | 0.775461i | ||||
\(685\) | −5125.67 | − | 29069.1i | −0.285900 | − | 1.62142i | ||||
\(686\) | 706.636 | − | 12132.5i | 0.0393287 | − | 0.675248i | ||||
\(687\) | −13068.5 | − | 26373.9i | −0.725758 | − | 1.46467i | ||||
\(688\) | −1850.63 | + | 2485.83i | −0.102550 | + | 0.137749i | ||||
\(689\) | 1640.10 | − | 2203.04i | 0.0906864 | − | 0.121813i | ||||
\(690\) | 9511.83 | − | 14294.2i | 0.524796 | − | 0.788653i | ||||
\(691\) | −92.1362 | + | 1581.92i | −0.00507239 | + | 0.0870896i | −0.999894 | − | 0.0145447i | \(-0.995370\pi\) |
0.994822 | + | 0.101634i | \(0.0324072\pi\) | |||||||
\(692\) | −1316.36 | − | 7465.42i | −0.0723126 | − | 0.410105i | ||||
\(693\) | −4666.42 | − | 4001.80i | −0.255790 | − | 0.219359i | ||||
\(694\) | 1565.25 | − | 8876.96i | 0.0856139 | − | 0.485540i | ||||
\(695\) | 43158.9 | + | 10228.8i | 2.35555 | + | 0.558277i | ||||
\(696\) | 4444.84 | + | 2598.16i | 0.242071 | + | 0.141499i | ||||
\(697\) | −1333.03 | − | 22887.2i | −0.0724419 | − | 1.24378i | ||||
\(698\) | −21502.6 | + | 5096.21i | −1.16602 | + | 0.276353i | ||||
\(699\) | −6381.98 | − | 27587.2i | −0.345334 | − | 1.49277i | ||||
\(700\) | 16473.4 | − | 1925.47i | 0.889481 | − | 0.103965i | ||||
\(701\) | −3610.92 | − | 6254.30i | −0.194554 | − | 0.336978i | 0.752200 | − | 0.658935i | \(-0.228993\pi\) |
−0.946754 | + | 0.321957i | \(0.895659\pi\) | |||||||
\(702\) | 2513.69 | − | 6574.70i | 0.135147 | − | 0.353484i | ||||
\(703\) | 1987.98 | − | 3443.28i | 0.106654 | − | 0.184731i | ||||
\(704\) | −299.976 | + | 695.423i | −0.0160593 | + | 0.0372297i | ||||
\(705\) | −13219.6 | − | 9952.46i | −0.706213 | − | 0.531676i | ||||
\(706\) | 3214.32 | + | 3406.98i | 0.171349 | + | 0.181619i | ||||
\(707\) | −24432.0 | − | 12270.2i | −1.29966 | − | 0.652715i | ||||
\(708\) | 4460.57 | + | 811.247i | 0.236778 | + | 0.0430629i | ||||
\(709\) | −7603.57 | − | 25397.7i | −0.402762 | − | 1.34532i | −0.883491 | − | 0.468448i | \(-0.844813\pi\) |
0.480729 | − | 0.876869i | \(-0.340372\pi\) | |||||||
\(710\) | −12823.1 | − | 10759.8i | −0.677805 | − | 0.568746i | ||||
\(711\) | −19142.3 | + | 4320.15i | −1.00969 | + | 0.227874i | ||||
\(712\) | −7167.72 | + | 6014.43i | −0.377277 | + | 0.316573i | ||||
\(713\) | 19542.5 | + | 12853.3i | 1.02647 | + | 0.675119i | ||||
\(714\) | 11092.3 | + | 4855.57i | 0.581397 | + | 0.254503i | ||||
\(715\) | −5440.88 | − | 635.948i | −0.284584 | − | 0.0332631i | ||||
\(716\) | 7306.54 | + | 16938.5i | 0.381366 | + | 0.884107i | ||||
\(717\) | 3001.60 | − | 881.081i | 0.156342 | − | 0.0458920i | ||||
\(718\) | −20553.9 | + | 10322.6i | −1.06834 | + | 0.536539i | ||||
\(719\) | 31626.8 | + | 11511.2i | 1.64044 | + | 0.597073i | 0.987116 | − | 0.160003i | \(-0.0511505\pi\) |
0.653327 | + | 0.757076i | \(0.273373\pi\) | |||||||
\(720\) | −3235.87 | + | 7285.38i | −0.167491 | + | 0.377097i | ||||
\(721\) | −10276.8 | + | 3740.43i | −0.530827 | + | 0.193205i | ||||
\(722\) | 13848.4 | − | 14678.4i | 0.713827 | − | 0.756612i | ||||
\(723\) | 6287.58 | − | 16990.5i | 0.323427 | − | 0.873973i | ||||
\(724\) | −9474.38 | + | 6231.39i | −0.486343 | + | 0.319873i | ||||
\(725\) | 7655.32 | − | 25570.5i | 0.392154 | − | 1.30988i | ||||
\(726\) | 6745.54 | + | 10377.1i | 0.344835 | + | 0.530481i | ||||
\(727\) | −7641.87 | − | 10264.8i | −0.389850 | − | 0.523660i | 0.563261 | − | 0.826279i | \(-0.309546\pi\) |
−0.953112 | + | 0.302619i | \(0.902139\pi\) | |||||||
\(728\) | −3861.14 | −0.196571 | ||||||||
\(729\) | 18703.3 | − | 6132.49i | 0.950225 | − | 0.311563i | ||||
\(730\) | 15014.6 | 0.761254 | ||||||||
\(731\) | 7004.49 | + | 9408.67i | 0.354406 | + | 0.476049i | ||||
\(732\) | −10069.7 | − | 15490.8i | −0.508450 | − | 0.782180i | ||||
\(733\) | −6240.35 | + | 20844.2i | −0.314451 | + | 1.05034i | 0.643987 | + | 0.765037i | \(0.277279\pi\) |
−0.958437 | + | 0.285303i | \(0.907906\pi\) | |||||||
\(734\) | 7160.60 | − | 4709.60i | 0.360085 | − | 0.236832i | ||||
\(735\) | −904.120 | + | 2443.14i | −0.0453728 | + | 0.122607i | ||||
\(736\) | 1966.13 | − | 2083.98i | 0.0984681 | − | 0.104370i | ||||
\(737\) | −9691.93 | + | 3527.58i | −0.484406 | + | 0.176309i | ||||
\(738\) | −8298.24 | + | 18683.0i | −0.413906 | + | 0.931885i | ||||
\(739\) | 6097.69 | + | 2219.38i | 0.303528 | + | 0.110475i | 0.489294 | − | 0.872119i | \(-0.337254\pi\) |
−0.185766 | + | 0.982594i | \(0.559477\pi\) | |||||||
\(740\) | 2014.44 | − | 1011.69i | 0.100071 | − | 0.0502574i | ||||
\(741\) | −16282.9 | + | 4779.64i | −0.807244 | + | 0.236956i | ||||
\(742\) | −1668.66 | − | 3868.39i | −0.0825586 | − | 0.191392i | ||||
\(743\) | 35678.1 | + | 4170.18i | 1.76165 | + | 0.205907i | 0.934472 | − | 0.356037i | \(-0.115872\pi\) |
0.827175 | + | 0.561944i | \(0.189946\pi\) | |||||||
\(744\) | −9948.50 | − | 4354.89i | −0.490228 | − | 0.214594i | ||||
\(745\) | −28802.6 | − | 18943.8i | −1.41644 | − | 0.931604i | ||||
\(746\) | 10743.4 | − | 9014.82i | 0.527273 | − | 0.442435i | ||||
\(747\) | 21670.4 | − | 4890.71i | 1.06141 | − | 0.239547i | ||||
\(748\) | 2195.91 | + | 1842.59i | 0.107340 | + | 0.0900692i | ||||
\(749\) | 6948.45 | + | 23209.4i | 0.338973 | + | 1.13225i | ||||
\(750\) | 17077.1 | + | 3105.83i | 0.831424 | + | 0.151212i | ||||
\(751\) | −7536.08 | − | 3784.76i | −0.366173 | − | 0.183899i | 0.256193 | − | 0.966626i | \(-0.417532\pi\) |
−0.622365 | + | 0.782727i | \(0.713828\pi\) | |||||||
\(752\) | −1894.85 | − | 2008.42i | −0.0918856 | − | 0.0973930i | ||||
\(753\) | 23710.2 | + | 17850.3i | 1.14747 | + | 0.863879i | ||||
\(754\) | −2461.20 | + | 5705.71i | −0.118875 | + | 0.275583i | ||||
\(755\) | 31816.8 | − | 55108.2i | 1.53368 | − | 2.65642i | ||||
\(756\) | −6806.04 | − | 8381.79i | −0.327425 | − | 0.403231i | ||||
\(757\) | 1878.47 | + | 3253.60i | 0.0901902 | + | 0.156214i | 0.907591 | − | 0.419855i | \(-0.137919\pi\) |
−0.817401 | + | 0.576069i | \(0.804586\pi\) | |||||||
\(758\) | 2071.55 | − | 242.130i | 0.0992641 | − | 0.0116023i | ||||
\(759\) | 1240.85 | + | 5363.77i | 0.0593411 | + | 0.256512i | ||||
\(760\) | 18700.8 | − | 4432.18i | 0.892566 | − | 0.211542i | ||||
\(761\) | 1169.66 | + | 20082.3i | 0.0557165 | + | 0.956615i | 0.904124 | + | 0.427271i | \(0.140525\pi\) |
−0.848407 | + | 0.529344i | \(0.822438\pi\) | |||||||
\(762\) | 15355.1 | + | 8975.57i | 0.729994 | + | 0.426707i | ||||
\(763\) | 32470.8 | + | 7695.73i | 1.54066 | + | 0.365143i | ||||
\(764\) | 555.781 | − | 3151.99i | 0.0263187 | − | 0.149260i | ||||
\(765\) | 22903.6 | + | 19641.5i | 1.08246 | + | 0.928287i | ||||
\(766\) | −3171.92 | − | 17988.9i | −0.149616 | − | 0.848517i | ||||
\(767\) | −318.165 | + | 5462.68i | −0.0149782 | + | 0.257165i | ||||
\(768\) | −736.924 | + | 1107.44i | −0.0346243 | + | 0.0520328i | ||||
\(769\) | 4251.79 | − | 5711.15i | 0.199381 | − | 0.267815i | −0.691177 | − | 0.722686i | \(-0.742907\pi\) |
0.890557 | + | 0.454871i | \(0.150315\pi\) | |||||||
\(770\) | −5017.75 | + | 6740.01i | −0.234841 | + | 0.315446i | ||||
\(771\) | 10858.1 | + | 21913.0i | 0.507194 | + | 1.02358i | ||||
\(772\) | 356.915 | − | 6127.99i | 0.0166394 | − | 0.285688i | ||||
\(773\) | −1887.03 | − | 10701.9i | −0.0878029 | − | 0.497955i | −0.996716 | − | 0.0809705i | \(-0.974198\pi\) |
0.908914 | − | 0.416984i | \(-0.136913\pi\) | |||||||
\(774\) | −1705.48 | − | 10319.3i | −0.0792020 | − | 0.479226i | ||||
\(775\) | −9776.76 | + | 55446.8i | −0.453150 | + | 2.56994i | ||||
\(776\) | −8109.21 | − | 1921.92i | −0.375134 | − | 0.0889083i | ||||
\(777\) | −16.3997 | + | 3053.13i | −0.000757190 | + | 0.140966i | ||||
\(778\) | 348.527 | + | 5983.97i | 0.0160608 | + | 0.275753i | ||||
\(779\) | 47957.4 | − | 11366.1i | 2.20572 | − | 0.522764i | ||||
\(780\) | −9202.14 | − | 2808.89i | −0.422423 | − | 0.128941i | ||||
\(781\) | 5331.14 | − | 623.121i | 0.244255 | − | 0.0285493i | ||||
\(782\) | −5422.04 | − | 9391.24i | −0.247943 | − | 0.429450i | ||||
\(783\) | −16724.4 | + | 4714.67i | −0.763320 | + | 0.215183i | ||||
\(784\) | −217.350 | + | 376.462i | −0.00990117 | + | 0.0171493i | ||||
\(785\) | −16362.2 | + | 37931.9i | −0.743940 | + | 1.72465i | ||||
\(786\) | 2297.88 | − | 18784.0i | 0.104278 | − | 0.852421i | ||||
\(787\) | −10752.3 | − | 11396.8i | −0.487012 | − | 0.516203i | 0.436535 | − | 0.899687i | \(-0.356205\pi\) |
−0.923547 | + | 0.383484i | \(0.874724\pi\) | |||||||
\(788\) | −2980.20 | − | 1496.71i | −0.134727 | − | 0.0676626i | ||||
\(789\) | 5495.13 | − | 6477.86i | 0.247949 | − | 0.292291i | ||||
\(790\) | 7693.03 | + | 25696.5i | 0.346463 | + | 1.15727i | ||||
\(791\) | 9673.14 | + | 8116.73i | 0.434813 | + | 0.364851i | ||||
\(792\) | −987.148 | − | 2357.79i | −0.0442888 | − | 0.105783i | ||||
\(793\) | 17082.3 | − | 14333.7i | 0.764955 | − | 0.641873i | ||||
\(794\) | −15711.0 | − | 10333.3i | −0.702221 | − | 0.461858i | ||||
\(795\) | −1162.71 | − | 10433.3i | −0.0518705 | − | 0.465449i | ||||
\(796\) | 7500.47 | + | 876.679i | 0.333979 | + | 0.0390365i | ||||
\(797\) | −3646.88 | − | 8454.42i | −0.162082 | − | 0.375748i | 0.817749 | − | 0.575574i | \(-0.195221\pi\) |
−0.979831 | + | 0.199826i | \(0.935962\pi\) | |||||||
\(798\) | −6139.03 | + | 25296.3i | −0.272330 | + | 1.12216i | ||||
\(799\) | −9339.28 | + | 4690.36i | −0.413517 | + | 0.207676i | ||||
\(800\) | 6480.46 | + | 2358.70i | 0.286399 | + | 0.104241i | ||||
\(801\) | 2174.73 | − | 31504.2i | 0.0959304 | − | 1.38970i | ||||
\(802\) | −8620.35 | + | 3137.55i | −0.379545 | + | 0.138143i | ||||
\(803\) | −3303.84 | + | 3501.87i | −0.145193 | + | 0.153896i | ||||
\(804\) | −17856.6 | + | 3049.80i | −0.783276 | + | 0.133779i | ||||
\(805\) | 26557.7 | − | 17467.3i | 1.16278 | − | 0.764772i | ||||
\(806\) | 3759.19 | − | 12556.6i | 0.164283 | − | 0.548742i | ||||
\(807\) | −13487.0 | + | 712.859i | −0.588307 | + | 0.0310952i | ||||
\(808\) | −6788.60 | − | 9118.67i | −0.295572 | − | 0.397022i | ||||
\(809\) | 2223.75 | 0.0966414 | 0.0483207 | − | 0.998832i | \(-0.484613\pi\) | ||||
0.0483207 | + | 0.998832i | \(0.484613\pi\) | |||||||
\(810\) | −10123.1 | − | 24927.3i | −0.439122 | − | 1.08130i | ||||
\(811\) | 26881.5 | 1.16392 | 0.581959 | − | 0.813218i | \(-0.302286\pi\) | ||||
0.581959 | + | 0.813218i | \(0.302286\pi\) | |||||||
\(812\) | 5691.92 | + | 7645.57i | 0.245994 | + | 0.330427i | ||||
\(813\) | 4700.69 | − | 9235.81i | 0.202780 | − | 0.398418i | ||||
\(814\) | −207.304 | + | 692.444i | −0.00892629 | + | 0.0298159i | ||||
\(815\) | −27950.5 | + | 18383.4i | −1.20131 | + | 0.790112i | ||||
\(816\) | 3215.52 | + | 3874.18i | 0.137948 | + | 0.166205i | ||||
\(817\) | −17304.5 | + | 18341.7i | −0.741013 | + | 0.785428i | ||||
\(818\) | −3123.48 | + | 1136.85i | −0.133508 | + | 0.0485931i | ||||
\(819\) | 9043.96 | − | 9382.05i | 0.385863 | − | 0.400287i | ||||
\(820\) | 26258.0 | + | 9557.14i | 1.11826 | + | 0.407012i | ||||
\(821\) | −34110.8 | + | 17131.1i | −1.45003 | + | 0.728234i | −0.987389 | − | 0.158311i | \(-0.949395\pi\) |
−0.462643 | + | 0.886545i | \(0.653099\pi\) | |||||||
\(822\) | 12030.2 | + | 11472.6i | 0.510462 | + | 0.486805i | ||||
\(823\) | 5762.68 | + | 13359.4i | 0.244076 | + | 0.565832i | 0.995582 | − | 0.0938944i | \(-0.0299316\pi\) |
−0.751506 | + | 0.659726i | \(0.770672\pi\) | |||||||
\(824\) | −4516.62 | − | 527.917i | −0.190951 | − | 0.0223190i | ||||
\(825\) | −10672.0 | + | 7856.24i | −0.450364 | + | 0.331538i | ||||
\(826\) | 7012.70 | + | 4612.32i | 0.295403 | + | 0.194290i | ||||
\(827\) | −19841.1 | + | 16648.7i | −0.834273 | + | 0.700038i | −0.956268 | − | 0.292493i | \(-0.905515\pi\) |
0.121995 | + | 0.992531i | \(0.461071\pi\) | |||||||
\(828\) | 458.505 | + | 9658.74i | 0.0192441 | + | 0.405392i | ||||
\(829\) | 7694.38 | + | 6456.35i | 0.322361 | + | 0.270493i | 0.789579 | − | 0.613649i | \(-0.210299\pi\) |
−0.467218 | + | 0.884142i | \(0.654744\pi\) | |||||||
\(830\) | −8709.03 | − | 29090.2i | −0.364211 | − | 1.21655i | ||||
\(831\) | 11773.5 | + | 32896.2i | 0.491478 | + | 1.37323i | ||||
\(832\) | −1434.71 | − | 720.539i | −0.0597833 | − | 0.0300243i | ||||
\(833\) | 1129.08 | + | 1196.76i | 0.0469632 | + | 0.0497780i | ||||
\(834\) | −22989.4 | + | 9770.52i | −0.954505 | + | 0.405666i | ||||
\(835\) | 4037.57 | − | 9360.14i | 0.167336 | − | 0.387929i | ||||
\(836\) | −3081.24 | + | 5336.87i | −0.127473 | + | 0.220789i | ||||
\(837\) | 33884.2 | − | 13973.0i | 1.39929 | − | 0.577035i | ||||
\(838\) | 3293.00 | + | 5703.65i | 0.135746 | + | 0.235119i | ||||
\(839\) | 2948.80 | − | 344.666i | 0.121340 | − | 0.0141826i | −0.0552063 | − | 0.998475i | \(-0.517582\pi\) |
0.176546 | + | 0.984292i | \(0.443508\pi\) | |||||||
\(840\) | −10789.1 | + | 10070.0i | −0.443165 | + | 0.413628i | ||||
\(841\) | −8805.34 | + | 2086.90i | −0.361037 | + | 0.0855674i | ||||
\(842\) | 314.153 | + | 5393.79i | 0.0128580 | + | 0.220763i | ||||
\(843\) | 35260.1 | − | 20105.7i | 1.44060 | − | 0.821443i | ||||
\(844\) | −8391.04 | − | 1988.71i | −0.342217 | − | 0.0811070i | ||||
\(845\) | −5023.44 | + | 28489.4i | −0.204511 | + | 1.15984i | ||||
\(846\) | 9318.49 | + | 100.111i | 0.378696 | + | 0.00406841i | ||||
\(847\) | 3978.94 | + | 22565.7i | 0.161415 | + | 0.915427i | ||||
\(848\) | 101.856 | − | 1748.80i | 0.00412470 | − | 0.0708184i | ||||
\(849\) | 5263.90 | + | 334.967i | 0.212788 | + | 0.0135407i | ||||
\(850\) | 15587.2 | − | 20937.2i | 0.628983 | − | 0.844870i | ||||
\(851\) | 1632.84 | − | 2193.29i | 0.0657734 | − | 0.0883490i | ||||
\(852\) | 9408.20 | + | 598.688i | 0.378309 | + | 0.0240736i | ||||
\(853\) | 978.532 | − | 16800.7i | 0.0392782 | − | 0.674380i | −0.920000 | − | 0.391918i | \(-0.871812\pi\) |
0.959278 | − | 0.282462i | \(-0.0911513\pi\) | |||||||
\(854\) | −5939.72 | − | 33685.8i | −0.238001 | − | 1.34977i | ||||
\(855\) | −33033.4 | + | 55822.0i | −1.32131 | + | 2.23283i | ||||
\(856\) | −1749.30 | + | 9920.77i | −0.0698479 | + | 0.396127i | ||||
\(857\) | −4689.14 | − | 1111.35i | −0.186906 | − | 0.0442974i | 0.136097 | − | 0.990696i | \(-0.456544\pi\) |
−0.323003 | + | 0.946398i | \(0.604692\pi\) | |||||||
\(858\) | 2679.98 | − | 1528.15i | 0.106635 | − | 0.0608044i | ||||
\(859\) | −2474.92 | − | 42492.7i | −0.0983040 | − | 1.68781i | −0.582481 | − | 0.812844i | \(-0.697918\pi\) |
0.484177 | − | 0.874970i | \(-0.339119\pi\) | |||||||
\(860\) | −13911.3 | + | 3297.04i | −0.551596 | + | 0.130731i | ||||
\(861\) | −27668.1 | + | 25824.0i | −1.09515 | + | 1.02216i | ||||
\(862\) | 13135.3 | − | 1535.30i | 0.519015 | − | 0.0606641i | ||||
\(863\) | −13700.7 | − | 23730.4i | −0.540415 | − | 0.936026i | −0.998880 | − | 0.0473139i | \(-0.984934\pi\) |
0.458465 | − | 0.888712i | \(-0.348399\pi\) | |||||||
\(864\) | −964.819 | − | 4384.58i | −0.0379905 | − | 0.172646i | ||||
\(865\) | 17485.5 | − | 30285.8i | 0.687313 | − | 1.19046i | ||||
\(866\) | −10796.3 | + | 25028.6i | −0.423641 | + | 0.982109i | ||||
\(867\) | −5956.84 | + | 2531.67i | −0.233339 | + | 0.0991694i | ||||
\(868\) | −13797.2 | − | 14624.2i | −0.539525 | − | 0.571864i | ||||
\(869\) | −7686.01 | − | 3860.06i | −0.300034 | − | 0.150683i | ||||
\(870\) | 8003.41 | + | 22362.2i | 0.311886 | + | 0.871436i | ||||
\(871\) | −6270.62 | − | 20945.3i | −0.243940 | − | 0.814816i | ||||
\(872\) | 10629.3 | + | 8919.04i | 0.412791 | + | 0.346372i | ||||
\(873\) | 23664.2 | − | 15202.6i | 0.917426 | − | 0.589380i | ||||
\(874\) | 17858.4 | − | 14984.9i | 0.691153 | − | 0.579946i | ||||
\(875\) | 26847.8 | + | 17658.1i | 1.03728 | + | 0.682231i | ||||
\(876\) | −6809.70 | + | 5013.01i | −0.262646 | + | 0.193349i | ||||
\(877\) | −13665.4 | − | 1597.26i | −0.526166 | − | 0.0615000i | −0.151137 | − | 0.988513i | \(-0.548293\pi\) |
−0.375030 | + | 0.927013i | \(0.622367\pi\) | |||||||
\(878\) | −2792.05 | − | 6472.69i | −0.107320 | − | 0.248796i | ||||
\(879\) | 340.236 | + | 324.468i | 0.0130556 | + | 0.0124506i | ||||
\(880\) | −3122.26 | + | 1568.06i | −0.119604 | + | 0.0600673i | ||||
\(881\) | −6435.82 | − | 2342.45i | −0.246116 | − | 0.0895790i | 0.216017 | − | 0.976390i | \(-0.430693\pi\) |
−0.462133 | + | 0.886811i | \(0.652916\pi\) | |||||||
\(882\) | −405.651 | − | 1409.92i | −0.0154864 | − | 0.0538260i | ||||
\(883\) | −24279.0 | + | 8836.82i | −0.925314 | + | 0.336787i | −0.760350 | − | 0.649513i | \(-0.774973\pi\) |
−0.164963 | + | 0.986300i | \(0.552751\pi\) | |||||||
\(884\) | −4170.04 | + | 4419.98i | −0.158658 | + | 0.168168i | ||||
\(885\) | 13357.8 | + | 16094.0i | 0.507365 | + | 0.611292i | ||||
\(886\) | 21157.0 | − | 13915.2i | 0.802240 | − | 0.527641i | ||||
\(887\) | −3778.71 | + | 12621.8i | −0.143040 | + | 0.477787i | −0.999245 | − | 0.0388489i | \(-0.987631\pi\) |
0.856205 | + | 0.516636i | \(0.172816\pi\) | |||||||
\(888\) | −575.848 | + | 1131.41i | −0.0217615 | + | 0.0427564i | ||||
\(889\) | 19663.2 | + | 26412.3i | 0.741825 | + | 0.996444i | ||||
\(890\) | −43165.1 | −1.62573 | ||||||||
\(891\) | 8041.31 | + | 3124.03i | 0.302350 | + | 0.117462i | ||||
\(892\) | −10727.0 | −0.402652 | ||||||||
\(893\) | −13416.5 | − | 18021.5i | −0.502761 | − | 0.675325i | ||||
\(894\) | 19387.9 | − | 1024.76i | 0.725313 | − | 0.0383367i | ||||
\(895\) | −24407.3 | + | 81525.9i | −0.911559 | + | 3.04482i | ||||
\(896\) | −2057.55 | + | 1353.27i | −0.0767164 | + | 0.0504571i | ||||
\(897\) | −11504.0 | + | 1964.81i | −0.428214 | + | 0.0731362i | ||||
\(898\) | −6378.42 | + | 6760.73i | −0.237027 | + | 0.251234i | ||||
\(899\) | −30405.3 | + | 11066.6i | −1.12800 | + | 0.410559i | ||||
\(900\) | −20910.5 | + | 10221.9i | −0.774464 | + | 0.378587i | ||||
\(901\) | −6230.44 | − | 2267.69i | −0.230373 | − | 0.0838489i | ||||
\(902\) | −8006.89 | + | 4021.21i | −0.295566 | + | 0.148439i | ||||
\(903\) | 4566.75 | − | 18817.6i | 0.168297 | − | 0.693479i | ||||
\(904\) | 2079.63 | + | 4821.12i | 0.0765127 | + | 0.177376i | ||||
\(905\) | −51960.1 | − | 6073.26i | −1.90852 | − | 0.223074i | ||||
\(906\) | 3969.17 | + | 35616.5i | 0.145548 | + | 1.30605i | ||||
\(907\) | −29357.7 | − | 19308.9i | −1.07476 | − | 0.706881i | −0.116619 | − | 0.993177i | \(-0.537206\pi\) |
−0.958141 | + | 0.286296i | \(0.907576\pi\) | |||||||
\(908\) | 14489.0 | − | 12157.7i | 0.529554 | − | 0.444348i | ||||
\(909\) | 38058.1 | + | 4863.33i | 1.38868 | + | 0.177455i | ||||
\(910\) | −13645.1 | − | 11449.6i | −0.497065 | − | 0.417087i | ||||
\(911\) | −1631.15 | − | 5448.43i | −0.0593222 | − | 0.198150i | 0.923191 | − | 0.384340i | \(-0.125571\pi\) |
−0.982514 | + | 0.186190i | \(0.940386\pi\) | |||||||
\(912\) | −7001.75 | + | 8253.91i | −0.254223 | + | 0.299687i | ||||
\(913\) | 8701.08 | + | 4369.85i | 0.315404 | + | 0.158402i | ||||
\(914\) | 10748.6 | + | 11392.9i | 0.388986 | + | 0.412301i | ||||
\(915\) | 10349.7 | − | 84603.5i | 0.373934 | − | 3.05673i | ||||
\(916\) | 8974.53 | − | 20805.3i | 0.323719 | − | 0.750466i | ||||
\(917\) | 17517.5 | − | 30341.2i | 0.630838 | − | 1.09264i | ||||
\(918\) | −16945.5 | − | 1261.23i | −0.609241 | − | 0.0453451i | ||||
\(919\) | −5660.81 | − | 9804.81i | −0.203191 | − | 0.351938i | 0.746364 | − | 0.665538i | \(-0.231798\pi\) |
−0.949555 | + | 0.313601i | \(0.898465\pi\) | |||||||
\(920\) | 13127.9 | − | 1534.43i | 0.470449 | − | 0.0549876i | ||||
\(921\) | −29892.4 | − | 9124.43i | −1.06948 | − | 0.326450i | ||||
\(922\) | −577.101 | + | 136.775i | −0.0206137 | + | 0.00488553i | ||||
\(923\) | 661.575 | + | 11358.8i | 0.0235926 | + | 0.405070i | ||||
\(924\) | 25.4186 | − | 4732.16i | 0.000904989 | − | 0.168481i | ||||
\(925\) | 6404.31 | + | 1517.85i | 0.227646 | + | 0.0539531i | ||||
\(926\) | 1737.03 | − | 9851.20i | 0.0616441 | − | 0.349601i | ||||
\(927\) | 11862.1 | − | 9738.24i | 0.420282 | − | 0.345033i | ||||
\(928\) | 688.223 | + | 3903.11i | 0.0243449 | + | 0.138067i | ||||
\(929\) | −321.392 | + | 5518.08i | −0.0113504 | + | 0.194879i | 0.987866 | + | 0.155307i | \(0.0496365\pi\) |
−0.999217 | + | 0.0395722i | \(0.987400\pi\) | |||||||
\(930\) | −22243.8 | − | 44890.6i | −0.784303 | − | 1.58282i | ||||
\(931\) | −2112.19 | + | 2837.16i | −0.0743546 | + | 0.0998756i | ||||
\(932\) | 13016.6 | − | 17484.3i | 0.457481 | − | 0.614503i | ||||
\(933\) | 12999.8 | − | 19535.9i | 0.456158 | − | 0.685505i | ||||
\(934\) | −1096.95 | + | 18833.8i | −0.0384295 | + | 0.659810i | ||||
\(935\) | 2296.35 | + | 13023.2i | 0.0803193 | + | 0.455513i | ||||
\(936\) | 5111.34 | − | 1798.43i | 0.178493 | − | 0.0628030i | ||||
\(937\) | −4858.41 | + | 27553.4i | −0.169389 | + | 0.960652i | 0.775034 | + | 0.631919i | \(0.217733\pi\) |
−0.944423 | + | 0.328733i | \(0.893378\pi\) | |||||||
\(938\) | −32633.5 | − | 7734.28i | −1.13595 | − | 0.269225i | ||||
\(939\) | −2464.57 | − | 1440.63i | −0.0856532 | − | 0.0500672i | ||||
\(940\) | −740.652 | − | 12716.5i | −0.0256994 | − | 0.441241i | ||||
\(941\) | 19826.9 | − | 4699.06i | 0.686863 | − | 0.162789i | 0.127657 | − | 0.991818i | \(-0.459254\pi\) |
0.559206 | + | 0.829029i | \(0.311106\pi\) | |||||||
\(942\) | −5243.64 | − | 22666.5i | −0.181366 | − | 0.783986i | ||||
\(943\) | 33665.8 | − | 3934.97i | 1.16258 | − | 0.135886i | ||||
\(944\) | 1745.04 | + | 3022.50i | 0.0601654 | + | 0.104210i | ||||
\(945\) | 802.604 | − | 49802.9i | 0.0276283 | − | 1.71438i | ||||
\(946\) | 2292.10 | − | 3970.04i | 0.0787766 | − | 0.136445i | ||||
\(947\) | −13904.4 | + | 32234.0i | −0.477120 | + | 1.10609i | 0.494423 | + | 0.869222i | \(0.335379\pi\) |
−0.971542 | + | 0.236866i | \(0.923880\pi\) | |||||||
\(948\) | −12068.5 | − | 9085.84i | −0.413468 | − | 0.311281i | ||||
\(949\) | −7003.59 | − | 7423.37i | −0.239564 | − | 0.253923i | ||||
\(950\) | 50145.4 | + | 25184.0i | 1.71256 | + | 0.860080i | ||||
\(951\) | 3581.50 | + | 651.370i | 0.122122 | + | 0.0222104i | ||||
\(952\) | 2673.32 | + | 8929.51i | 0.0910114 | + | 0.303999i | ||||
\(953\) | 42733.0 | + | 35857.3i | 1.45253 | + | 1.21882i | 0.930710 | + | 0.365759i | \(0.119191\pi\) |
0.521819 | + | 0.853057i | \(0.325254\pi\) | |||||||
\(954\) | 4010.77 | + | 4343.72i | 0.136115 | + | 0.147414i | ||||
\(955\) | 11310.8 | − | 9490.89i | 0.383255 | − | 0.321589i | ||||
\(956\) | 2011.96 | + | 1323.29i | 0.0680663 | + | 0.0447679i | ||||
\(957\) | −6976.64 | − | 3053.98i | −0.235656 | − | 0.103157i | ||||
\(958\) | 16251.3 | + | 1899.51i | 0.548076 | + | 0.0640609i | ||||
\(959\) | 12189.8 | + | 28259.2i | 0.410458 | + | 0.951550i | ||||
\(960\) | −5888.17 | + | 1728.39i | −0.197958 | + | 0.0581080i | ||||
\(961\) | 34369.1 | − | 17260.8i | 1.15367 | − | 0.579397i | ||||
\(962\) | −1439.83 | − | 524.055i | −0.0482557 | − | 0.0175636i | ||||
\(963\) | −20008.7 | − | 27488.0i | −0.669546 | − | 0.919822i | ||||
\(964\) | 13105.1 | − | 4769.86i | 0.437849 | − | 0.159364i | ||||
\(965\) | 19432.8 | − | 20597.6i | 0.648254 | − | 0.687109i | ||||
\(966\) | −6213.05 | + | 16789.1i | −0.206938 | + | 0.559192i | ||||
\(967\) | 2077.58 | − | 1366.44i | 0.0690903 | − | 0.0454414i | −0.514494 | − | 0.857494i | \(-0.672020\pi\) |
0.583584 | + | 0.812053i | \(0.301650\pi\) | |||||||
\(968\) | −2732.57 | + | 9127.43i | −0.0907316 | + | 0.303065i | ||||
\(969\) | 22327.4 | + | 34347.6i | 0.740206 | + | 1.13870i | ||||
\(970\) | −22958.4 | − | 30838.4i | −0.759947 | − | 1.02079i | ||||
\(971\) | −45574.8 | −1.50625 | −0.753123 | − | 0.657880i | \(-0.771453\pi\) | ||||
−0.753123 | + | 0.657880i | \(0.771453\pi\) | |||||||
\(972\) | 12913.8 | + | 7925.63i | 0.426143 | + | 0.261538i | ||||
\(973\) | −46245.7 | −1.52371 | ||||||||
\(974\) | 5538.39 | + | 7439.35i | 0.182199 | + | 0.244735i | ||||
\(975\) | −15310.3 | − | 23552.8i | −0.502896 | − | 0.773635i | ||||
\(976\) | 4079.15 | − | 13625.3i | 0.133781 | − | 0.446860i | ||||
\(977\) | 32425.0 | − | 21326.2i | 1.06179 | − | 0.698349i | 0.106586 | − | 0.994304i | \(-0.466008\pi\) |
0.955202 | + | 0.295955i | \(0.0956378\pi\) | |||||||
\(978\) | 6538.89 | − | 17669.6i | 0.213794 | − | 0.577720i | ||||
\(979\) | 9498.13 | − | 10067.4i | 0.310073 | − | 0.328658i | ||||
\(980\) | −1884.44 | + | 685.880i | −0.0614247 | + | 0.0223568i | ||||
\(981\) | −46569.1 | + | 4936.65i | −1.51563 | + | 0.160668i | ||||
\(982\) | −5057.15 | − | 1840.65i | −0.164338 | − | 0.0598142i | ||||
\(983\) | −44086.6 | + | 22141.1i | −1.43046 | + | 0.718404i | −0.984293 | − | 0.176545i | \(-0.943508\pi\) |
−0.446168 | + | 0.894949i | \(0.647212\pi\) | |||||||
\(984\) | −15099.9 | + | 4432.38i | −0.489195 | + | 0.143597i | ||||
\(985\) | −6093.60 | − | 14126.6i | −0.197115 | − | 0.456964i | ||||
\(986\) | 14899.4 | + | 1741.49i | 0.481232 | + | 0.0562479i | ||||
\(987\) | 15804.8 | + | 6918.47i | 0.509700 | + | 0.223118i | ||||
\(988\) | −10914.4 | − | 7178.48i | −0.351449 | − | 0.231152i | ||||
\(989\) | −13284.6 | + | 11147.1i | −0.427125 | + | 0.358400i | ||||
\(990\) | 3503.11 | − | 11259.5i | 0.112461 | − | 0.361466i | ||||
\(991\) | −4496.90 | − | 3773.35i | −0.144146 | − | 0.120953i | 0.567863 | − | 0.823123i | \(-0.307770\pi\) |
−0.712009 | + | 0.702170i | \(0.752215\pi\) | |||||||
\(992\) | −2397.67 | − | 8008.76i | −0.0767399 | − | 0.256329i | ||||
\(993\) | 13488.1 | + | 2453.08i | 0.431048 | + | 0.0783950i | ||||
\(994\) | 15596.6 | + | 7832.93i | 0.497682 | + | 0.249945i | ||||
\(995\) | 23906.6 | + | 25339.5i | 0.761699 | + | 0.807353i | ||||
\(996\) | 13662.4 | + | 10285.8i | 0.434648 | + | 0.327227i | ||||
\(997\) | −3043.16 | + | 7054.84i | −0.0966678 | + | 0.224101i | −0.959688 | − | 0.281069i | \(-0.909311\pi\) |
0.863020 | + | 0.505170i | \(0.168570\pi\) | |||||||
\(998\) | −856.798 | + | 1484.02i | −0.0271758 | + | 0.0470699i | ||||
\(999\) | −1400.37 | − | 4049.34i | −0.0443501 | − | 0.128244i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 162.4.g.b.7.10 | ✓ | 252 | |
81.58 | even | 27 | inner | 162.4.g.b.139.10 | yes | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.4.g.b.7.10 | ✓ | 252 | 1.1 | even | 1 | trivial | |
162.4.g.b.139.10 | yes | 252 | 81.58 | even | 27 | inner |