Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(4,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.m (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.8593839112\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 4.2 | ||
Character | \(\chi\) | \(=\) | 201.4 |
Dual form | 201.4.m.a.151.2 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{33}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.56923 | − | 0.436309i | −1.61547 | − | 0.154258i | −0.752175 | − | 0.658963i | \(-0.770995\pi\) |
−0.863292 | + | 0.504705i | \(0.831601\pi\) | |||||||
\(3\) | 2.52376 | + | 1.62192i | 0.485698 | + | 0.312139i | ||||
\(4\) | 12.8321 | + | 2.47318i | 1.60401 | + | 0.309147i | ||||
\(5\) | 0.0429643 | + | 0.298823i | 0.00384284 | + | 0.0267275i | 0.991653 | − | 0.128938i | \(-0.0411569\pi\) |
−0.987810 | + | 0.155666i | \(0.950248\pi\) | |||||||
\(6\) | −10.8240 | − | 8.51208i | −0.736479 | − | 0.579173i | ||||
\(7\) | 4.15175 | − | 5.83032i | 0.224173 | − | 0.314808i | −0.687137 | − | 0.726528i | \(-0.741133\pi\) |
0.911310 | + | 0.411721i | \(0.135072\pi\) | |||||||
\(8\) | −22.3209 | − | 6.55402i | −0.986456 | − | 0.289650i | ||||
\(9\) | 3.73874 | + | 8.18669i | 0.138472 | + | 0.303211i | ||||
\(10\) | −0.0659346 | − | 1.38414i | −0.00208503 | − | 0.0437703i | ||||
\(11\) | 8.13590 | − | 6.39814i | 0.223006 | − | 0.175374i | −0.500405 | − | 0.865791i | \(-0.666816\pi\) |
0.723411 | + | 0.690418i | \(0.242573\pi\) | |||||||
\(12\) | 28.3738 | + | 27.0543i | 0.682567 | + | 0.650826i | ||||
\(13\) | 19.5651 | − | 80.6483i | 0.417413 | − | 1.72060i | −0.243289 | − | 0.969954i | \(-0.578226\pi\) |
0.660702 | − | 0.750648i | \(-0.270259\pi\) | |||||||
\(14\) | −21.5141 | + | 24.8286i | −0.410707 | + | 0.473981i | ||||
\(15\) | −0.376236 | + | 0.823843i | −0.00647625 | + | 0.0141810i | ||||
\(16\) | 2.07293 | + | 0.829877i | 0.0323896 | + | 0.0129668i | ||||
\(17\) | −105.375 | + | 20.3093i | −1.50336 | + | 0.289749i | −0.873449 | − | 0.486916i | \(-0.838122\pi\) |
−0.629914 | + | 0.776665i | \(0.716910\pi\) | |||||||
\(18\) | −13.5112 | − | 39.0381i | −0.176924 | − | 0.511187i | ||||
\(19\) | 80.3673 | + | 112.860i | 0.970396 | + | 1.36273i | 0.931601 | + | 0.363483i | \(0.118412\pi\) |
0.0387948 | + | 0.999247i | \(0.487648\pi\) | |||||||
\(20\) | −0.187722 | + | 3.94078i | −0.00209880 | + | 0.0440592i | ||||
\(21\) | 19.9343 | − | 7.98051i | 0.207144 | − | 0.0829281i | ||||
\(22\) | −39.9664 | + | 25.6848i | −0.387312 | + | 0.248910i | ||||
\(23\) | −42.5380 | + | 21.9298i | −0.385643 | + | 0.198813i | −0.640135 | − | 0.768262i | \(-0.721122\pi\) |
0.254493 | + | 0.967075i | \(0.418091\pi\) | |||||||
\(24\) | −45.7026 | − | 52.7436i | −0.388709 | − | 0.448594i | ||||
\(25\) | 119.849 | − | 35.1909i | 0.958793 | − | 0.281527i | ||||
\(26\) | −124.585 | + | 359.964i | −0.939735 | + | 2.71519i | ||||
\(27\) | −3.84250 | + | 26.7252i | −0.0273885 | + | 0.190491i | ||||
\(28\) | 67.6950 | − | 64.5470i | 0.456898 | − | 0.435652i | ||||
\(29\) | −33.0065 | − | 57.1690i | −0.211350 | − | 0.366069i | 0.740787 | − | 0.671740i | \(-0.234453\pi\) |
−0.952137 | + | 0.305671i | \(0.901119\pi\) | |||||||
\(30\) | 2.07856 | − | 3.60017i | 0.0126497 | − | 0.0219099i | ||||
\(31\) | −47.0907 | − | 194.111i | −0.272830 | − | 1.12462i | −0.929021 | − | 0.370027i | \(-0.879348\pi\) |
0.656191 | − | 0.754595i | \(-0.272167\pi\) | |||||||
\(32\) | 156.308 | + | 80.5824i | 0.863489 | + | 0.445159i | ||||
\(33\) | 30.9103 | − | 2.95158i | 0.163055 | − | 0.0155698i | ||||
\(34\) | 490.343 | − | 46.8221i | 2.47333 | − | 0.236174i | ||||
\(35\) | 1.92061 | + | 0.990143i | 0.00927550 | + | 0.00478185i | ||||
\(36\) | 27.7286 | + | 114.299i | 0.128373 | + | 0.529161i | ||||
\(37\) | 173.915 | − | 301.230i | 0.772743 | − | 1.33843i | −0.163311 | − | 0.986575i | \(-0.552217\pi\) |
0.936054 | − | 0.351856i | \(-0.114449\pi\) | |||||||
\(38\) | −317.975 | − | 550.749i | −1.35743 | − | 2.35114i | ||||
\(39\) | 180.183 | − | 171.804i | 0.739804 | − | 0.705402i | ||||
\(40\) | 0.999490 | − | 6.95160i | 0.00395083 | − | 0.0274786i | ||||
\(41\) | 146.785 | − | 424.108i | 0.559122 | − | 1.61548i | −0.210935 | − | 0.977500i | \(-0.567651\pi\) |
0.770056 | − | 0.637976i | \(-0.220228\pi\) | |||||||
\(42\) | −94.5666 | + | 27.7673i | −0.347427 | + | 0.102014i | ||||
\(43\) | 8.00452 | + | 9.23771i | 0.0283879 | + | 0.0327614i | 0.769766 | − | 0.638326i | \(-0.220373\pi\) |
−0.741378 | + | 0.671088i | \(0.765827\pi\) | |||||||
\(44\) | 120.224 | − | 61.9799i | 0.411920 | − | 0.212360i | ||||
\(45\) | −2.28574 | + | 1.46896i | −0.00757195 | + | 0.00486620i | ||||
\(46\) | 203.934 | − | 81.6428i | 0.653661 | − | 0.261687i | ||||
\(47\) | 3.44765 | − | 72.3751i | 0.0106998 | − | 0.224617i | −0.987184 | − | 0.159589i | \(-0.948983\pi\) |
0.997883 | − | 0.0650282i | \(-0.0207137\pi\) | |||||||
\(48\) | 3.88559 | + | 5.45655i | 0.0116841 | + | 0.0164080i | ||||
\(49\) | 95.4287 | + | 275.723i | 0.278218 | + | 0.803858i | ||||
\(50\) | −562.973 | + | 108.504i | −1.59233 | + | 0.306896i | ||||
\(51\) | −298.881 | − | 119.654i | −0.820622 | − | 0.328528i | ||||
\(52\) | 450.518 | − | 986.497i | 1.20145 | − | 2.63082i | ||||
\(53\) | 316.506 | − | 365.267i | 0.820290 | − | 0.946666i | −0.179018 | − | 0.983846i | \(-0.557292\pi\) |
0.999309 | + | 0.0371801i | \(0.0118375\pi\) | |||||||
\(54\) | 29.2177 | − | 120.437i | 0.0736301 | − | 0.303507i | ||||
\(55\) | 2.26146 | + | 2.15630i | 0.00554429 | + | 0.00528647i | ||||
\(56\) | −130.883 | + | 102.928i | −0.312321 | + | 0.245612i | ||||
\(57\) | 19.7775 | + | 415.181i | 0.0459578 | + | 0.964774i | ||||
\(58\) | 125.871 | + | 275.619i | 0.284960 | + | 0.623975i | ||||
\(59\) | 736.039 | + | 216.120i | 1.62414 | + | 0.476890i | 0.962126 | − | 0.272605i | \(-0.0878852\pi\) |
0.662011 | + | 0.749495i | \(0.269703\pi\) | |||||||
\(60\) | −6.86540 | + | 9.64111i | −0.0147720 | + | 0.0207444i | ||||
\(61\) | 45.4439 | + | 35.7375i | 0.0953852 | + | 0.0750118i | 0.664713 | − | 0.747099i | \(-0.268554\pi\) |
−0.569328 | + | 0.822111i | \(0.692796\pi\) | |||||||
\(62\) | 130.476 | + | 907.482i | 0.267266 | + | 1.85888i | ||||
\(63\) | 63.2533 | + | 12.1911i | 0.126495 | + | 0.0243799i | ||||
\(64\) | −694.076 | − | 446.056i | −1.35562 | − | 0.871203i | ||||
\(65\) | 24.9402 | + | 2.38150i | 0.0475915 | + | 0.00454444i | ||||
\(66\) | −142.524 | −0.265811 | ||||||||
\(67\) | 407.617 | − | 366.894i | 0.743259 | − | 0.669003i | ||||
\(68\) | −1402.41 | −2.50098 | ||||||||
\(69\) | −142.924 | − | 13.6476i | −0.249363 | − | 0.0238113i | ||||
\(70\) | −8.34370 | − | 5.36217i | −0.0142466 | − | 0.00915575i | ||||
\(71\) | −55.5894 | − | 10.7140i | −0.0929189 | − | 0.0179087i | 0.142580 | − | 0.989783i | \(-0.454460\pi\) |
−0.235499 | + | 0.971875i | \(0.575672\pi\) | |||||||
\(72\) | −29.7964 | − | 207.238i | −0.0487713 | − | 0.339212i | ||||
\(73\) | 221.963 | + | 174.554i | 0.355874 | + | 0.279863i | 0.780050 | − | 0.625717i | \(-0.215194\pi\) |
−0.424175 | + | 0.905580i | \(0.639436\pi\) | |||||||
\(74\) | −926.089 | + | 1300.51i | −1.45481 | + | 2.04299i | ||||
\(75\) | 359.548 | + | 105.573i | 0.553560 | + | 0.162540i | ||||
\(76\) | 752.156 | + | 1646.99i | 1.13524 | + | 2.48583i | ||||
\(77\) | −3.52498 | − | 73.9984i | −0.00521699 | − | 0.109518i | ||||
\(78\) | −898.257 | + | 706.397i | −1.30394 | + | 1.02543i | ||||
\(79\) | −575.186 | − | 548.439i | −0.819159 | − | 0.781066i | 0.159361 | − | 0.987220i | \(-0.449057\pi\) |
−0.978519 | + | 0.206154i | \(0.933905\pi\) | |||||||
\(80\) | −0.158924 | + | 0.655095i | −0.000222104 | + | 0.000915524i | ||||
\(81\) | −53.0437 | + | 61.2157i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −855.737 | + | 1873.80i | −1.15244 | + | 2.52350i | ||||
\(83\) | −111.049 | − | 44.4574i | −0.146858 | − | 0.0587932i | 0.297069 | − | 0.954856i | \(-0.403991\pi\) |
−0.443927 | + | 0.896063i | \(0.646415\pi\) | |||||||
\(84\) | 275.536 | − | 53.1053i | 0.357898 | − | 0.0689793i | ||||
\(85\) | −10.5963 | − | 30.6159i | −0.0135215 | − | 0.0390677i | ||||
\(86\) | −32.5440 | − | 45.7017i | −0.0408060 | − | 0.0573040i | ||||
\(87\) | 9.42308 | − | 197.815i | 0.0116122 | − | 0.243770i | ||||
\(88\) | −223.534 | + | 89.4897i | −0.270782 | + | 0.108405i | ||||
\(89\) | −307.253 | + | 197.460i | −0.365941 | + | 0.235176i | −0.710669 | − | 0.703527i | \(-0.751608\pi\) |
0.344728 | + | 0.938703i | \(0.387971\pi\) | |||||||
\(90\) | 11.0850 | − | 5.71471i | 0.0129829 | − | 0.00669315i | ||||
\(91\) | −388.976 | − | 448.902i | −0.448085 | − | 0.517118i | ||||
\(92\) | −600.087 | + | 176.201i | −0.680037 | + | 0.199677i | ||||
\(93\) | 195.987 | − | 566.266i | 0.218525 | − | 0.631388i | ||||
\(94\) | −47.3310 | + | 329.194i | −0.0519342 | + | 0.361211i | ||||
\(95\) | −30.2723 | + | 28.8645i | −0.0326934 | + | 0.0311731i | ||||
\(96\) | 263.786 | + | 456.890i | 0.280443 | + | 0.485742i | ||||
\(97\) | −485.391 | + | 840.723i | −0.508083 | + | 0.880025i | 0.491873 | + | 0.870667i | \(0.336312\pi\) |
−0.999956 | + | 0.00935843i | \(0.997021\pi\) | |||||||
\(98\) | −315.735 | − | 1301.48i | −0.325450 | − | 1.34152i | ||||
\(99\) | 82.7975 | + | 42.6851i | 0.0840552 | + | 0.0433335i | ||||
\(100\) | 1624.95 | − | 155.164i | 1.62495 | − | 0.155164i | ||||
\(101\) | −765.381 | + | 73.0850i | −0.754042 | + | 0.0720023i | −0.464996 | − | 0.885313i | \(-0.653944\pi\) |
−0.289046 | + | 0.957315i | \(0.593338\pi\) | |||||||
\(102\) | 1313.45 | + | 677.131i | 1.27501 | + | 0.657313i | ||||
\(103\) | −150.220 | − | 619.215i | −0.143705 | − | 0.592360i | −0.997431 | − | 0.0716371i | \(-0.977178\pi\) |
0.853726 | − | 0.520723i | \(-0.174338\pi\) | |||||||
\(104\) | −965.282 | + | 1671.92i | −0.910131 | + | 1.57639i | ||||
\(105\) | 3.24122 | + | 5.61397i | 0.00301249 | + | 0.00521778i | ||||
\(106\) | −1605.56 | + | 1530.89i | −1.47118 | + | 1.40277i | ||||
\(107\) | −68.3300 | + | 475.246i | −0.0617356 | + | 0.429381i | 0.935390 | + | 0.353617i | \(0.115048\pi\) |
−0.997126 | + | 0.0757634i | \(0.975861\pi\) | |||||||
\(108\) | −115.403 | + | 333.436i | −0.102821 | + | 0.297083i | ||||
\(109\) | 564.471 | − | 165.744i | 0.496023 | − | 0.145645i | −0.0241468 | − | 0.999708i | \(-0.507687\pi\) |
0.520170 | + | 0.854063i | \(0.325869\pi\) | |||||||
\(110\) | −9.39234 | − | 10.8393i | −0.00814113 | − | 0.00939537i | ||||
\(111\) | 927.493 | − | 478.156i | 0.793097 | − | 0.408870i | ||||
\(112\) | 13.4447 | − | 8.64042i | 0.0113429 | − | 0.00728967i | ||||
\(113\) | 2229.50 | − | 892.558i | 1.85605 | − | 0.743051i | 0.917936 | − | 0.396728i | \(-0.129854\pi\) |
0.938115 | − | 0.346323i | \(-0.112570\pi\) | |||||||
\(114\) | 90.7791 | − | 1905.69i | 0.0745811 | − | 1.56565i | ||||
\(115\) | −8.38076 | − | 11.7691i | −0.00679573 | − | 0.00954327i | ||||
\(116\) | −282.153 | − | 815.227i | −0.225838 | − | 0.652517i | ||||
\(117\) | 733.391 | − | 141.350i | 0.579505 | − | 0.111690i | ||||
\(118\) | −3268.83 | − | 1308.64i | −2.55017 | − | 1.02094i | ||||
\(119\) | −319.080 | + | 698.688i | −0.245799 | + | 0.538224i | ||||
\(120\) | 13.7974 | − | 15.9231i | 0.0104961 | − | 0.0121131i | ||||
\(121\) | −288.539 | + | 1189.37i | −0.216783 | + | 0.893593i | ||||
\(122\) | −192.051 | − | 183.120i | −0.142520 | − | 0.135893i | ||||
\(123\) | 1058.32 | − | 832.273i | 0.775818 | − | 0.610110i | ||||
\(124\) | −124.201 | − | 2607.31i | −0.0899484 | − | 1.88825i | ||||
\(125\) | 31.3416 | + | 68.6285i | 0.0224262 | + | 0.0491066i | ||||
\(126\) | −283.700 | − | 83.3018i | −0.200587 | − | 0.0588977i | ||||
\(127\) | 428.882 | − | 602.281i | 0.299662 | − | 0.420817i | −0.637101 | − | 0.770780i | \(-0.719867\pi\) |
0.936763 | + | 0.349963i | \(0.113806\pi\) | |||||||
\(128\) | 1870.91 | + | 1471.30i | 1.29193 | + | 1.01598i | ||||
\(129\) | 5.21865 | + | 36.2965i | 0.00356183 | + | 0.0247731i | ||||
\(130\) | −112.918 | − | 21.7632i | −0.0761815 | − | 0.0146828i | ||||
\(131\) | 1076.56 | + | 691.862i | 0.718010 | + | 0.461437i | 0.847944 | − | 0.530085i | \(-0.177840\pi\) |
−0.129934 | + | 0.991523i | \(0.541477\pi\) | |||||||
\(132\) | 403.944 | + | 38.5719i | 0.266354 | + | 0.0254338i | ||||
\(133\) | 991.675 | 0.646535 | ||||||||
\(134\) | −2022.58 | + | 1498.58i | −1.30391 | + | 0.966099i | ||||
\(135\) | −8.15119 | −0.00519661 | ||||||||
\(136\) | 2485.18 | + | 237.305i | 1.56693 | + | 0.149623i | ||||
\(137\) | −1721.25 | − | 1106.18i | −1.07340 | − | 0.689833i | −0.120378 | − | 0.992728i | \(-0.538411\pi\) |
−0.953024 | + | 0.302895i | \(0.902047\pi\) | |||||||
\(138\) | 647.099 | + | 124.718i | 0.399165 | + | 0.0769327i | ||||
\(139\) | 201.291 | + | 1400.01i | 0.122829 | + | 0.854295i | 0.954326 | + | 0.298766i | \(0.0965751\pi\) |
−0.831497 | + | 0.555529i | \(0.812516\pi\) | |||||||
\(140\) | 22.1966 | + | 17.4556i | 0.0133997 | + | 0.0105376i | ||||
\(141\) | 126.088 | − | 177.066i | 0.0753086 | − | 0.105756i | ||||
\(142\) | 249.326 | + | 73.2087i | 0.147345 | + | 0.0432644i | ||||
\(143\) | −356.820 | − | 781.327i | −0.208663 | − | 0.456908i | ||||
\(144\) | 0.956202 | + | 20.0731i | 0.000553358 | + | 0.0116164i | ||||
\(145\) | 15.6653 | − | 12.3193i | 0.00897195 | − | 0.00705562i | ||||
\(146\) | −938.042 | − | 894.421i | −0.531732 | − | 0.507006i | ||||
\(147\) | −206.362 | + | 850.637i | −0.115786 | + | 0.477275i | ||||
\(148\) | 2976.69 | − | 3435.28i | 1.65326 | − | 1.90796i | ||||
\(149\) | −63.4123 | + | 138.854i | −0.0348653 | + | 0.0763445i | −0.926263 | − | 0.376877i | \(-0.876998\pi\) |
0.891398 | + | 0.453221i | \(0.149725\pi\) | |||||||
\(150\) | −1596.79 | − | 639.260i | −0.869184 | − | 0.347969i | ||||
\(151\) | −3069.14 | + | 591.529i | −1.65406 | + | 0.318794i | −0.929054 | − | 0.369945i | \(-0.879376\pi\) |
−0.725009 | + | 0.688740i | \(0.758164\pi\) | |||||||
\(152\) | −1054.19 | − | 3045.87i | −0.562538 | − | 1.62535i | ||||
\(153\) | −560.235 | − | 786.740i | −0.296028 | − | 0.415714i | ||||
\(154\) | −16.1797 | + | 339.654i | −0.00846621 | + | 0.177728i | ||||
\(155\) | 55.9815 | − | 22.4116i | 0.0290100 | − | 0.0116138i | ||||
\(156\) | 2737.02 | − | 1758.98i | 1.40473 | − | 0.902762i | ||||
\(157\) | −146.392 | + | 75.4704i | −0.0744163 | + | 0.0383643i | −0.495033 | − | 0.868874i | \(-0.664844\pi\) |
0.420617 | + | 0.907238i | \(0.361814\pi\) | |||||||
\(158\) | 2388.87 | + | 2756.90i | 1.20284 | + | 1.38815i | ||||
\(159\) | 1391.22 | − | 408.499i | 0.693905 | − | 0.203749i | ||||
\(160\) | −17.3642 | + | 50.1706i | −0.00857977 | + | 0.0247896i | ||||
\(161\) | −48.7490 | + | 339.057i | −0.0238631 | + | 0.165972i | ||||
\(162\) | 269.078 | − | 256.565i | 0.130499 | − | 0.124430i | ||||
\(163\) | 984.546 | + | 1705.28i | 0.473102 | + | 0.819436i | 0.999526 | − | 0.0307857i | \(-0.00980094\pi\) |
−0.526424 | + | 0.850222i | \(0.676468\pi\) | |||||||
\(164\) | 2932.45 | − | 5079.16i | 1.39626 | − | 2.41839i | ||||
\(165\) | 2.21004 | + | 9.10991i | 0.00104274 | + | 0.00429822i | ||||
\(166\) | 488.013 | + | 251.588i | 0.228175 | + | 0.117633i | ||||
\(167\) | −1906.60 | + | 182.058i | −0.883457 | + | 0.0843599i | −0.526914 | − | 0.849919i | \(-0.676651\pi\) |
−0.356543 | + | 0.934279i | \(0.616045\pi\) | |||||||
\(168\) | −497.258 | + | 47.4824i | −0.228359 | + | 0.0218056i | ||||
\(169\) | −4168.59 | − | 2149.06i | −1.89740 | − | 0.978178i | ||||
\(170\) | 35.0588 | + | 144.514i | 0.0158170 | + | 0.0651984i | ||||
\(171\) | −623.478 | + | 1079.90i | −0.278822 | + | 0.482934i | ||||
\(172\) | 79.8681 | + | 138.336i | 0.0354063 | + | 0.0613256i | ||||
\(173\) | 2715.46 | − | 2589.19i | 1.19337 | − | 1.13788i | 0.206148 | − | 0.978521i | \(-0.433907\pi\) |
0.987221 | − | 0.159355i | \(-0.0509413\pi\) | |||||||
\(174\) | −129.365 | + | 899.750i | −0.0563626 | + | 0.392011i | ||||
\(175\) | 292.410 | − | 844.863i | 0.126309 | − | 0.364946i | ||||
\(176\) | 22.1748 | − | 6.51112i | 0.00949711 | − | 0.00278860i | ||||
\(177\) | 1507.05 | + | 1739.23i | 0.639984 | + | 0.738581i | ||||
\(178\) | 1490.06 | − | 768.182i | 0.627444 | − | 0.323470i | ||||
\(179\) | 1862.99 | − | 1197.27i | 0.777911 | − | 0.499933i | −0.0904287 | − | 0.995903i | \(-0.528824\pi\) |
0.868340 | + | 0.495970i | \(0.165187\pi\) | |||||||
\(180\) | −32.9638 | + | 13.1967i | −0.0136499 | + | 0.00546458i | ||||
\(181\) | 77.5744 | − | 1628.49i | 0.0318567 | − | 0.668754i | −0.925309 | − | 0.379214i | \(-0.876195\pi\) |
0.957166 | − | 0.289540i | \(-0.0935024\pi\) | |||||||
\(182\) | 1581.46 | + | 2220.85i | 0.644097 | + | 0.904508i | ||||
\(183\) | 56.7261 | + | 163.899i | 0.0229143 | + | 0.0662065i | ||||
\(184\) | 1093.22 | − | 210.700i | 0.438005 | − | 0.0844186i | ||||
\(185\) | 97.4867 | + | 39.0278i | 0.0387425 | + | 0.0155102i | ||||
\(186\) | −1142.57 | + | 2501.89i | −0.450417 | + | 0.986277i | ||||
\(187\) | −727.377 | + | 839.438i | −0.284444 | + | 0.328266i | ||||
\(188\) | 223.237 | − | 920.196i | 0.0866023 | − | 0.356980i | ||||
\(189\) | 139.863 | + | 133.359i | 0.0538283 | + | 0.0513252i | ||||
\(190\) | 150.915 | − | 118.681i | 0.0576237 | − | 0.0453158i | ||||
\(191\) | 132.950 | + | 2790.97i | 0.0503662 | + | 1.05732i | 0.872683 | + | 0.488287i | \(0.162378\pi\) |
−0.822317 | + | 0.569030i | \(0.807319\pi\) | |||||||
\(192\) | −1028.21 | − | 2251.48i | −0.386484 | − | 0.846283i | ||||
\(193\) | −958.854 | − | 281.545i | −0.357616 | − | 0.105005i | 0.0979893 | − | 0.995187i | \(-0.468759\pi\) |
−0.455605 | + | 0.890182i | \(0.650577\pi\) | |||||||
\(194\) | 2584.68 | − | 3629.67i | 0.956542 | − | 1.34328i | ||||
\(195\) | 59.0804 | + | 46.4614i | 0.0216966 | + | 0.0170624i | ||||
\(196\) | 542.636 | + | 3774.11i | 0.197753 | + | 1.37541i | ||||
\(197\) | −3122.64 | − | 601.840i | −1.12933 | − | 0.217661i | −0.409839 | − | 0.912158i | \(-0.634415\pi\) |
−0.719496 | + | 0.694497i | \(0.755627\pi\) | |||||||
\(198\) | −359.697 | − | 231.163i | −0.129104 | − | 0.0829700i | ||||
\(199\) | −1906.06 | − | 182.007i | −0.678981 | − | 0.0648348i | −0.250133 | − | 0.968212i | \(-0.580474\pi\) |
−0.428848 | + | 0.903377i | \(0.641080\pi\) | |||||||
\(200\) | −2905.79 | −1.02735 | ||||||||
\(201\) | 1623.80 | − | 264.829i | 0.569822 | − | 0.0929332i | ||||
\(202\) | 3529.09 | 1.22924 | ||||||||
\(203\) | −470.348 | − | 44.9128i | −0.162621 | − | 0.0155284i | ||||
\(204\) | −3539.34 | − | 2274.60i | −1.21472 | − | 0.780655i | ||||
\(205\) | 133.040 | + | 25.6413i | 0.0453263 | + | 0.00873593i | ||||
\(206\) | 416.221 | + | 2894.88i | 0.140774 | + | 0.979106i | ||||
\(207\) | −338.571 | − | 266.255i | −0.113683 | − | 0.0894010i | ||||
\(208\) | 107.485 | − | 150.942i | 0.0358306 | − | 0.0503170i | ||||
\(209\) | 1375.95 | + | 404.017i | 0.455391 | + | 0.133715i | ||||
\(210\) | −12.3605 | − | 27.0657i | −0.00406169 | − | 0.00889385i | ||||
\(211\) | 193.229 | + | 4056.38i | 0.0630447 | + | 1.32347i | 0.779748 | + | 0.626093i | \(0.215347\pi\) |
−0.716704 | + | 0.697378i | \(0.754350\pi\) | |||||||
\(212\) | 4964.79 | − | 3904.36i | 1.60841 | − | 1.26487i | ||||
\(213\) | −122.917 | − | 117.201i | −0.0395405 | − | 0.0377018i | ||||
\(214\) | 519.569 | − | 2141.69i | 0.165967 | − | 0.684127i | ||||
\(215\) | −2.41653 | + | 2.78883i | −0.000766541 | + | 0.000884635i | ||||
\(216\) | 260.926 | − | 571.347i | 0.0821932 | − | 0.179978i | ||||
\(217\) | −1327.24 | − | 531.345i | −0.415201 | − | 0.166221i | ||||
\(218\) | −2651.51 | + | 511.037i | −0.823776 | + | 0.158770i | ||||
\(219\) | 277.069 | + | 800.539i | 0.0854914 | + | 0.247011i | ||||
\(220\) | 23.6864 | + | 33.2628i | 0.00725879 | + | 0.0101935i | ||||
\(221\) | −423.753 | + | 8895.66i | −0.128980 | + | 2.70763i | ||||
\(222\) | −4446.55 | + | 1780.13i | −1.34429 | + | 0.538174i | ||||
\(223\) | −953.915 | + | 613.044i | −0.286452 | + | 0.184092i | −0.675974 | − | 0.736926i | \(-0.736277\pi\) |
0.389521 | + | 0.921017i | \(0.372640\pi\) | |||||||
\(224\) | 1118.77 | − | 576.768i | 0.333711 | − | 0.172040i | ||||
\(225\) | 736.181 | + | 849.598i | 0.218128 | + | 0.251733i | ||||
\(226\) | −10576.5 | + | 3105.55i | −3.11301 | + | 0.914063i | ||||
\(227\) | 938.018 | − | 2710.22i | 0.274266 | − | 0.792440i | −0.720792 | − | 0.693151i | \(-0.756222\pi\) |
0.995059 | − | 0.0992892i | \(-0.0316569\pi\) | |||||||
\(228\) | −773.031 | + | 5376.55i | −0.224541 | + | 1.56171i | ||||
\(229\) | −3214.83 | + | 3065.34i | −0.927695 | + | 0.884556i | −0.993564 | − | 0.113272i | \(-0.963867\pi\) |
0.0658685 | + | 0.997828i | \(0.479018\pi\) | |||||||
\(230\) | 33.1586 | + | 57.4324i | 0.00950616 | + | 0.0164651i | ||||
\(231\) | 111.123 | − | 192.471i | 0.0316510 | − | 0.0548212i | ||||
\(232\) | 362.050 | + | 1492.39i | 0.102456 | + | 0.422329i | ||||
\(233\) | −3317.78 | − | 1710.44i | −0.932855 | − | 0.480920i | −0.0763627 | − | 0.997080i | \(-0.524331\pi\) |
−0.856492 | + | 0.516160i | \(0.827361\pi\) | |||||||
\(234\) | −3412.71 | + | 325.874i | −0.953400 | + | 0.0910387i | ||||
\(235\) | 21.7755 | − | 2.07931i | 0.00604458 | − | 0.000577187i | ||||
\(236\) | 8910.40 | + | 4593.63i | 2.45770 | + | 1.26703i | ||||
\(237\) | −562.107 | − | 2317.04i | −0.154062 | − | 0.635054i | ||||
\(238\) | 1762.80 | − | 3053.25i | 0.480105 | − | 0.831567i | ||||
\(239\) | 280.466 | + | 485.781i | 0.0759072 | + | 0.131475i | 0.901480 | − | 0.432820i | \(-0.142481\pi\) |
−0.825573 | + | 0.564295i | \(0.809148\pi\) | |||||||
\(240\) | −1.46360 | + | 1.39554i | −0.000393646 | + | 0.000375341i | ||||
\(241\) | −446.335 | + | 3104.33i | −0.119299 | + | 0.829741i | 0.839032 | + | 0.544081i | \(0.183122\pi\) |
−0.958331 | + | 0.285660i | \(0.907787\pi\) | |||||||
\(242\) | 1837.33 | − | 5308.62i | 0.488050 | − | 1.41013i | ||||
\(243\) | −233.157 | + | 68.4610i | −0.0615515 | + | 0.0180732i | ||||
\(244\) | 494.755 | + | 570.977i | 0.129809 | + | 0.149808i | ||||
\(245\) | −78.2924 | + | 40.3626i | −0.0204160 | + | 0.0105252i | ||||
\(246\) | −5198.84 | + | 3341.09i | −1.34742 | + | 0.865936i | ||||
\(247\) | 10674.4 | − | 4273.37i | 2.74977 | − | 1.10084i | ||||
\(248\) | −221.095 | + | 4641.37i | −0.0566112 | + | 1.18842i | ||||
\(249\) | −208.155 | − | 292.313i | −0.0529771 | − | 0.0743960i | ||||
\(250\) | −113.264 | − | 327.254i | −0.0286537 | − | 0.0827895i | ||||
\(251\) | 5295.46 | − | 1020.62i | 1.33166 | − | 0.256656i | 0.526732 | − | 0.850031i | \(-0.323417\pi\) |
0.804926 | + | 0.593375i | \(0.202205\pi\) | |||||||
\(252\) | 781.520 | + | 312.873i | 0.195362 | + | 0.0782110i | ||||
\(253\) | −205.774 | + | 450.583i | −0.0511341 | + | 0.111968i | ||||
\(254\) | −2222.44 | + | 2564.83i | −0.549009 | + | 0.633591i | ||||
\(255\) | 22.9142 | − | 94.4534i | 0.00562722 | − | 0.0231957i | ||||
\(256\) | −3129.75 | − | 2984.21i | −0.764100 | − | 0.728568i | ||||
\(257\) | 1119.97 | − | 880.756i | 0.271836 | − | 0.213775i | −0.472930 | − | 0.881100i | \(-0.656804\pi\) |
0.744766 | + | 0.667326i | \(0.232561\pi\) | |||||||
\(258\) | −8.00873 | − | 168.124i | −0.00193257 | − | 0.0405695i | ||||
\(259\) | −1034.21 | − | 2264.61i | −0.248120 | − | 0.543306i | ||||
\(260\) | 314.144 | + | 92.2411i | 0.0749323 | + | 0.0220021i | ||||
\(261\) | 344.622 | − | 483.954i | 0.0817301 | − | 0.114774i | ||||
\(262\) | −4617.18 | − | 3630.99i | −1.08874 | − | 0.856196i | ||||
\(263\) | −675.293 | − | 4696.76i | −0.158328 | − | 1.10120i | −0.901714 | − | 0.432334i | \(-0.857690\pi\) |
0.743385 | − | 0.668863i | \(-0.233219\pi\) | |||||||
\(264\) | −709.293 | − | 136.705i | −0.165356 | − | 0.0318697i | ||||
\(265\) | 122.749 | + | 78.8858i | 0.0284543 | + | 0.0182865i | ||||
\(266\) | −4531.19 | − | 432.676i | −1.04446 | − | 0.0997334i | ||||
\(267\) | −1095.70 | −0.251145 | ||||||||
\(268\) | 6137.97 | − | 3699.90i | 1.39902 | − | 0.843311i | ||||
\(269\) | −7823.58 | −1.77328 | −0.886640 | − | 0.462460i | \(-0.846967\pi\) | ||||
−0.886640 | + | 0.462460i | \(0.846967\pi\) | |||||||
\(270\) | 37.2447 | + | 3.55643i | 0.00839496 | + | 0.000801621i | ||||
\(271\) | 571.865 | + | 367.515i | 0.128186 | + | 0.0823800i | 0.603162 | − | 0.797618i | \(-0.293907\pi\) |
−0.474977 | + | 0.879998i | \(0.657543\pi\) | |||||||
\(272\) | −235.289 | − | 45.3483i | −0.0524504 | − | 0.0101090i | ||||
\(273\) | −253.598 | − | 1763.81i | −0.0562214 | − | 0.391028i | ||||
\(274\) | 7382.14 | + | 5805.38i | 1.62763 | + | 1.27998i | ||||
\(275\) | 749.924 | − | 1053.12i | 0.164444 | − | 0.230929i | ||||
\(276\) | −1800.26 | − | 528.604i | −0.392619 | − | 0.115283i | ||||
\(277\) | −1285.51 | − | 2814.87i | −0.278840 | − | 0.610574i | 0.717453 | − | 0.696607i | \(-0.245308\pi\) |
−0.996292 | + | 0.0860336i | \(0.972581\pi\) | |||||||
\(278\) | −308.908 | − | 6484.78i | −0.0666441 | − | 1.39903i | ||||
\(279\) | 1413.06 | − | 1111.25i | 0.303218 | − | 0.238453i | ||||
\(280\) | −36.3804 | − | 34.6887i | −0.00776481 | − | 0.00740373i | ||||
\(281\) | −851.400 | + | 3509.52i | −0.180748 | + | 0.745055i | 0.807201 | + | 0.590277i | \(0.200981\pi\) |
−0.987949 | + | 0.154778i | \(0.950534\pi\) | |||||||
\(282\) | −653.380 | + | 754.040i | −0.137972 | + | 0.159229i | ||||
\(283\) | −1736.26 | + | 3801.87i | −0.364699 | + | 0.798579i | 0.634962 | + | 0.772543i | \(0.281016\pi\) |
−0.999661 | + | 0.0260356i | \(0.991712\pi\) | |||||||
\(284\) | −686.829 | − | 274.965i | −0.143506 | − | 0.0574513i | ||||
\(285\) | −123.216 | + | 23.7479i | −0.0256094 | + | 0.00493581i | ||||
\(286\) | 1289.49 | + | 3725.75i | 0.266606 | + | 0.770307i | ||||
\(287\) | −1863.27 | − | 2616.59i | −0.383224 | − | 0.538163i | ||||
\(288\) | −75.3086 | + | 1580.92i | −0.0154083 | + | 0.323461i | ||||
\(289\) | 6130.33 | − | 2454.21i | 1.24778 | − | 0.499535i | ||||
\(290\) | −76.9534 | + | 49.4550i | −0.0155823 | + | 0.0100141i | ||||
\(291\) | −2588.60 | + | 1334.52i | −0.521465 | + | 0.268834i | ||||
\(292\) | 2416.55 | + | 2788.84i | 0.484307 | + | 0.558920i | ||||
\(293\) | −6126.62 | + | 1798.94i | −1.22157 | + | 0.358686i | −0.828064 | − | 0.560634i | \(-0.810557\pi\) |
−0.393510 | + | 0.919320i | \(0.628739\pi\) | |||||||
\(294\) | 1314.06 | − | 3796.72i | 0.260671 | − | 0.753161i | ||||
\(295\) | −32.9584 | + | 229.231i | −0.00650479 | + | 0.0452418i | ||||
\(296\) | −5856.22 | + | 5583.90i | −1.14995 | + | 1.09648i | ||||
\(297\) | 139.729 | + | 242.018i | 0.0272994 | + | 0.0472839i | ||||
\(298\) | 350.328 | − | 606.786i | 0.0681006 | − | 0.117954i | ||||
\(299\) | 936.347 | + | 3859.67i | 0.181105 | + | 0.746524i | ||||
\(300\) | 4352.64 | + | 2243.94i | 0.837666 | + | 0.431847i | ||||
\(301\) | 87.0916 | − | 8.31624i | 0.0166773 | − | 0.00159249i | ||||
\(302\) | 14281.7 | − | 1363.74i | 2.72126 | − | 0.259849i | ||||
\(303\) | −2050.18 | − | 1056.94i | −0.388711 | − | 0.200395i | ||||
\(304\) | 72.9360 | + | 300.646i | 0.0137604 | + | 0.0567212i | ||||
\(305\) | −8.72672 | + | 15.1151i | −0.00163833 | + | 0.00283767i | ||||
\(306\) | 2216.58 | + | 3839.23i | 0.414097 | + | 0.717236i | ||||
\(307\) | 6252.14 | − | 5961.41i | 1.16231 | − | 1.10826i | 0.169876 | − | 0.985465i | \(-0.445663\pi\) |
0.992432 | − | 0.122793i | \(-0.0391852\pi\) | |||||||
\(308\) | 137.778 | − | 958.270i | 0.0254891 | − | 0.177281i | ||||
\(309\) | 625.200 | − | 1806.40i | 0.115102 | − | 0.332564i | ||||
\(310\) | −265.571 | + | 77.9786i | −0.0486562 | + | 0.0142867i | ||||
\(311\) | 5087.63 | + | 5871.44i | 0.927631 | + | 1.07054i | 0.997334 | + | 0.0729754i | \(0.0232495\pi\) |
−0.0697028 | + | 0.997568i | \(0.522205\pi\) | |||||||
\(312\) | −5147.86 | + | 2653.91i | −0.934103 | + | 0.481564i | ||||
\(313\) | 2762.41 | − | 1775.29i | 0.498852 | − | 0.320593i | −0.266905 | − | 0.963723i | \(-0.586001\pi\) |
0.765757 | + | 0.643130i | \(0.222365\pi\) | |||||||
\(314\) | 701.828 | − | 280.970i | 0.126135 | − | 0.0504969i | ||||
\(315\) | −0.925342 | + | 19.4253i | −0.000165515 | + | 0.00347458i | ||||
\(316\) | −6024.45 | − | 8460.15i | −1.07247 | − | 1.50608i | ||||
\(317\) | 2258.01 | + | 6524.10i | 0.400072 | + | 1.15593i | 0.947687 | + | 0.319201i | \(0.103414\pi\) |
−0.547616 | + | 0.836730i | \(0.684464\pi\) | |||||||
\(318\) | −6535.03 | + | 1259.52i | −1.15241 | + | 0.222109i | ||||
\(319\) | −634.313 | − | 253.941i | −0.111331 | − | 0.0445703i | ||||
\(320\) | 103.471 | − | 226.571i | 0.0180757 | − | 0.0395802i | ||||
\(321\) | −943.260 | + | 1088.58i | −0.164011 | + | 0.189279i | ||||
\(322\) | 370.679 | − | 1527.96i | 0.0641526 | − | 0.264441i | ||||
\(323\) | −10760.8 | − | 10260.4i | −1.85371 | − | 1.76751i | ||||
\(324\) | −832.058 | + | 654.338i | −0.142671 | + | 0.112198i | ||||
\(325\) | −493.229 | − | 10354.1i | −0.0841828 | − | 1.76721i | ||||
\(326\) | −3754.59 | − | 8221.40i | −0.637875 | − | 1.39675i | ||||
\(327\) | 1693.41 | + | 497.231i | 0.286379 | + | 0.0840884i | ||||
\(328\) | −6056.00 | + | 8504.46i | −1.01947 | + | 1.43165i | ||||
\(329\) | −407.656 | − | 320.584i | −0.0683125 | − | 0.0537215i | ||||
\(330\) | −6.12345 | − | 42.5895i | −0.00102147 | − | 0.00710448i | ||||
\(331\) | 3547.40 | + | 683.705i | 0.589072 | + | 0.113534i | 0.475073 | − | 0.879947i | \(-0.342422\pi\) |
0.113999 | + | 0.993481i | \(0.463634\pi\) | |||||||
\(332\) | −1315.04 | − | 845.126i | −0.217386 | − | 0.139706i | ||||
\(333\) | 3116.30 | + | 297.571i | 0.512830 | + | 0.0489693i | ||||
\(334\) | 8791.14 | 1.44021 | ||||||||
\(335\) | 127.149 | + | 106.042i | 0.0207370 | + | 0.0172946i | ||||
\(336\) | 47.9454 | 0.00778463 | ||||||||
\(337\) | −7812.88 | − | 746.039i | −1.26289 | − | 0.120592i | −0.557961 | − | 0.829867i | \(-0.688416\pi\) |
−0.704931 | + | 0.709276i | \(0.749022\pi\) | |||||||
\(338\) | 18109.6 | + | 11638.3i | 2.91430 | + | 1.87290i | ||||
\(339\) | 7074.39 | + | 1363.48i | 1.13342 | + | 0.218448i | ||||
\(340\) | −60.2534 | − | 419.072i | −0.00961088 | − | 0.0668451i | ||||
\(341\) | −1625.07 | − | 1277.97i | −0.258072 | − | 0.202950i | ||||
\(342\) | 3319.98 | − | 4662.26i | 0.524924 | − | 0.737153i | ||||
\(343\) | 4359.32 | + | 1280.01i | 0.686243 | + | 0.201499i | ||||
\(344\) | −118.124 | − | 258.656i | −0.0185141 | − | 0.0405402i | ||||
\(345\) | −2.06241 | − | 43.2954i | −0.000321845 | − | 0.00675636i | ||||
\(346\) | −13537.3 | + | 10645.8i | −2.10338 | + | 1.65411i | ||||
\(347\) | −6926.70 | − | 6604.60i | −1.07160 | − | 1.02177i | −0.999703 | − | 0.0243553i | \(-0.992247\pi\) |
−0.0718955 | − | 0.997412i | \(-0.522905\pi\) | |||||||
\(348\) | 610.149 | − | 2515.07i | 0.0939869 | − | 0.387419i | ||||
\(349\) | 202.791 | − | 234.034i | 0.0311036 | − | 0.0358955i | −0.739985 | − | 0.672624i | \(-0.765167\pi\) |
0.771088 | + | 0.636728i | \(0.219713\pi\) | |||||||
\(350\) | −1704.71 | + | 3732.79i | −0.260344 | + | 0.570075i | ||||
\(351\) | 2080.16 | + | 832.771i | 0.316327 | + | 0.126638i | ||||
\(352\) | 1787.28 | − | 344.471i | 0.270632 | − | 0.0521601i | ||||
\(353\) | 1689.29 | + | 4880.89i | 0.254708 | + | 0.735930i | 0.997772 | + | 0.0667104i | \(0.0212504\pi\) |
−0.743064 | + | 0.669220i | \(0.766628\pi\) | |||||||
\(354\) | −6127.24 | − | 8604.50i | −0.919941 | − | 1.29188i | ||||
\(355\) | 0.813225 | − | 17.0717i | 0.000121582 | − | 0.00255232i | ||||
\(356\) | −4431.05 | + | 1773.93i | −0.659678 | + | 0.264095i | ||||
\(357\) | −1938.50 | + | 1245.80i | −0.287385 | + | 0.184691i | ||||
\(358\) | −9034.79 | + | 4657.76i | −1.33381 | + | 0.687626i | ||||
\(359\) | −591.068 | − | 682.128i | −0.0868951 | − | 0.100282i | 0.710637 | − | 0.703559i | \(-0.248407\pi\) |
−0.797532 | + | 0.603277i | \(0.793861\pi\) | |||||||
\(360\) | 60.6474 | − | 17.8077i | 0.00887889 | − | 0.00260708i | ||||
\(361\) | −4035.13 | + | 11658.7i | −0.588297 | + | 1.69977i | ||||
\(362\) | −1064.98 | + | 7407.09i | −0.154624 | + | 1.07544i | ||||
\(363\) | −2657.27 | + | 2533.70i | −0.384216 | + | 0.366350i | ||||
\(364\) | −3881.15 | − | 6722.36i | −0.558867 | − | 0.967987i | ||||
\(365\) | −42.6242 | + | 73.8273i | −0.00611248 | + | 0.0105871i | ||||
\(366\) | −187.684 | − | 773.644i | −0.0268044 | − | 0.110489i | ||||
\(367\) | 992.476 | + | 511.657i | 0.141163 | + | 0.0727746i | 0.527361 | − | 0.849641i | \(-0.323182\pi\) |
−0.386198 | + | 0.922416i | \(0.626212\pi\) | |||||||
\(368\) | −106.377 | + | 10.1578i | −0.0150688 | + | 0.00143889i | ||||
\(369\) | 4020.83 | − | 383.943i | 0.567252 | − | 0.0541660i | ||||
\(370\) | −428.411 | − | 220.861i | −0.0601947 | − | 0.0310325i | ||||
\(371\) | −815.570 | − | 3361.83i | −0.114130 | − | 0.470451i | ||||
\(372\) | 3915.39 | − | 6781.66i | 0.545709 | − | 0.945195i | ||||
\(373\) | 5435.85 | + | 9415.17i | 0.754578 | + | 1.30697i | 0.945584 | + | 0.325378i | \(0.105492\pi\) |
−0.191006 | + | 0.981589i | \(0.561175\pi\) | |||||||
\(374\) | 3689.81 | − | 3518.23i | 0.510148 | − | 0.486425i | ||||
\(375\) | −32.2115 | + | 224.036i | −0.00443571 | + | 0.0308511i | ||||
\(376\) | −551.303 | + | 1592.88i | −0.0756151 | + | 0.218475i | ||||
\(377\) | −5256.36 | + | 1543.41i | −0.718080 | + | 0.210847i | ||||
\(378\) | −580.881 | − | 670.373i | −0.0790405 | − | 0.0912176i | ||||
\(379\) | −11247.5 | + | 5798.50i | −1.52440 | + | 0.785882i | −0.997930 | − | 0.0643135i | \(-0.979514\pi\) |
−0.526468 | + | 0.850195i | \(0.676484\pi\) | |||||||
\(380\) | −459.843 | + | 295.523i | −0.0620775 | + | 0.0398948i | ||||
\(381\) | 2059.25 | − | 824.399i | 0.276899 | − | 0.110854i | ||||
\(382\) | 610.244 | − | 12810.6i | 0.0817351 | − | 1.71583i | ||||
\(383\) | 6313.70 | + | 8866.35i | 0.842337 | + | 1.18290i | 0.981278 | + | 0.192596i | \(0.0616906\pi\) |
−0.138941 | + | 0.990301i | \(0.544370\pi\) | |||||||
\(384\) | 2335.40 | + | 6747.69i | 0.310359 | + | 0.896723i | ||||
\(385\) | 21.9610 | − | 4.23263i | 0.00290710 | − | 0.000560298i | ||||
\(386\) | 4258.39 | + | 1704.80i | 0.561519 | + | 0.224798i | ||||
\(387\) | −45.6995 | + | 100.068i | −0.00600267 | + | 0.0131440i | ||||
\(388\) | −8307.84 | + | 9587.75i | −1.08703 | + | 1.25450i | ||||
\(389\) | −279.148 | + | 1150.66i | −0.0363840 | + | 0.149977i | −0.987106 | − | 0.160068i | \(-0.948829\pi\) |
0.950722 | + | 0.310044i | \(0.100344\pi\) | |||||||
\(390\) | −249.681 | − | 238.070i | −0.0324181 | − | 0.0309106i | ||||
\(391\) | 4037.05 | − | 3174.77i | 0.522155 | − | 0.410627i | ||||
\(392\) | −322.964 | − | 6779.85i | −0.0416126 | − | 0.873556i | ||||
\(393\) | 1594.83 | + | 3492.19i | 0.204704 | + | 0.448238i | ||||
\(394\) | 14005.5 | + | 4112.38i | 1.79083 | + | 0.525834i | ||||
\(395\) | 139.174 | − | 195.442i | 0.0177281 | − | 0.0248956i | ||||
\(396\) | 956.896 | + | 752.512i | 0.121429 | + | 0.0954928i | ||||
\(397\) | 979.334 | + | 6811.42i | 0.123807 | + | 0.861096i | 0.953181 | + | 0.302402i | \(0.0977884\pi\) |
−0.829374 | + | 0.558694i | \(0.811302\pi\) | |||||||
\(398\) | 8629.83 | + | 1663.26i | 1.08687 | + | 0.209477i | ||||
\(399\) | 2502.75 | + | 1608.42i | 0.314021 | + | 0.201809i | ||||
\(400\) | 277.643 | + | 26.5117i | 0.0347054 | + | 0.00331397i | ||||
\(401\) | 4583.31 | 0.570773 | 0.285386 | − | 0.958413i | \(-0.407878\pi\) | ||||
0.285386 | + | 0.958413i | \(0.407878\pi\) | |||||||
\(402\) | −7535.07 | + | 501.585i | −0.934864 | + | 0.0622308i | ||||
\(403\) | −16576.0 | −2.04891 | ||||||||
\(404\) | −10002.2 | − | 955.092i | −1.23175 | − | 0.117618i | ||||
\(405\) | −20.5717 | − | 13.2206i | −0.00252398 | − | 0.00162207i | ||||
\(406\) | 2129.53 | + | 410.434i | 0.260313 | + | 0.0501712i | ||||
\(407\) | −512.356 | − | 3563.51i | −0.0623993 | − | 0.433997i | ||||
\(408\) | 5887.10 | + | 4629.66i | 0.714350 | + | 0.561771i | ||||
\(409\) | −2101.92 | + | 2951.73i | −0.254115 | + | 0.356855i | −0.921852 | − | 0.387543i | \(-0.873324\pi\) |
0.667736 | + | 0.744398i | \(0.267263\pi\) | |||||||
\(410\) | −596.702 | − | 175.207i | −0.0718756 | − | 0.0211046i | ||||
\(411\) | −2549.88 | − | 5583.46i | −0.306025 | − | 0.670101i | ||||
\(412\) | −396.204 | − | 8317.34i | −0.0473775 | − | 0.994577i | ||||
\(413\) | 4315.90 | − | 3394.06i | 0.514217 | − | 0.404385i | ||||
\(414\) | 1430.84 | + | 1364.30i | 0.169860 | + | 0.161961i | ||||
\(415\) | 8.51375 | − | 35.0942i | 0.00100705 | − | 0.00415110i | ||||
\(416\) | 9557.02 | − | 11029.4i | 1.12637 | − | 1.29990i | ||||
\(417\) | −1762.69 | + | 3859.76i | −0.207001 | + | 0.453269i | ||||
\(418\) | −6110.78 | − | 2446.39i | −0.715043 | − | 0.286260i | ||||
\(419\) | 6171.34 | − | 1189.43i | 0.719546 | − | 0.138681i | 0.183682 | − | 0.982986i | \(-0.441198\pi\) |
0.535864 | + | 0.844305i | \(0.319986\pi\) | |||||||
\(420\) | 27.7073 | + | 80.0550i | 0.00321899 | + | 0.00930067i | ||||
\(421\) | 2629.99 | + | 3693.31i | 0.304461 | + | 0.427556i | 0.938254 | − | 0.345947i | \(-0.112442\pi\) |
−0.633793 | + | 0.773503i | \(0.718503\pi\) | |||||||
\(422\) | 886.924 | − | 18618.8i | 0.102310 | − | 2.14775i | ||||
\(423\) | 605.402 | − | 242.366i | 0.0695878 | − | 0.0278588i | ||||
\(424\) | −9458.67 | + | 6078.72i | −1.08338 | + | 0.696247i | ||||
\(425\) | −11914.4 | + | 6142.30i | −1.35984 | + | 0.701047i | ||||
\(426\) | 510.500 | + | 589.149i | 0.0580606 | + | 0.0670055i | ||||
\(427\) | 397.033 | − | 116.579i | 0.0449971 | − | 0.0132123i | ||||
\(428\) | −2052.18 | + | 5929.39i | −0.231766 | + | 0.669645i | ||||
\(429\) | 366.723 | − | 2550.62i | 0.0412717 | − | 0.287051i | ||||
\(430\) | 12.2585 | − | 11.6884i | 0.00137478 | − | 0.00131085i | ||||
\(431\) | −4702.26 | − | 8144.55i | −0.525522 | − | 0.910230i | −0.999558 | − | 0.0297250i | \(-0.990537\pi\) |
0.474036 | − | 0.880505i | \(-0.342796\pi\) | |||||||
\(432\) | −30.1439 | + | 52.2107i | −0.00335717 | + | 0.00581479i | ||||
\(433\) | −1430.44 | − | 5896.35i | −0.158759 | − | 0.654412i | −0.994450 | − | 0.105212i | \(-0.966448\pi\) |
0.835691 | − | 0.549200i | \(-0.185067\pi\) | |||||||
\(434\) | 5832.61 | + | 3006.92i | 0.645102 | + | 0.332573i | ||||
\(435\) | 59.5165 | − | 5.68313i | 0.00655999 | − | 0.000626403i | ||||
\(436\) | 7653.24 | − | 730.796i | 0.840651 | − | 0.0802725i | ||||
\(437\) | −5893.66 | − | 3038.39i | −0.645154 | − | 0.332600i | ||||
\(438\) | −916.712 | − | 3778.74i | −0.100005 | − | 0.412226i | ||||
\(439\) | 7010.52 | − | 12142.6i | 0.762173 | − | 1.32012i | −0.179555 | − | 0.983748i | \(-0.557466\pi\) |
0.941728 | − | 0.336375i | \(-0.109201\pi\) | |||||||
\(440\) | −36.3456 | − | 62.9524i | −0.00393797 | − | 0.00682077i | ||||
\(441\) | −1900.48 | + | 1812.10i | −0.205213 | + | 0.195670i | ||||
\(442\) | 5817.48 | − | 40461.5i | 0.626039 | − | 4.35420i | ||||
\(443\) | −936.429 | + | 2705.63i | −0.100431 | + | 0.290177i | −0.984012 | − | 0.178101i | \(-0.943004\pi\) |
0.883581 | + | 0.468279i | \(0.155126\pi\) | |||||||
\(444\) | 13084.2 | − | 3841.87i | 1.39854 | − | 0.410647i | ||||
\(445\) | −72.2064 | − | 83.3307i | −0.00769194 | − | 0.00887697i | ||||
\(446\) | 4626.13 | − | 2384.94i | 0.491152 | − | 0.253206i | ||||
\(447\) | −385.247 | + | 247.583i | −0.0407641 | + | 0.0261975i | ||||
\(448\) | −5482.28 | + | 2194.77i | −0.578155 | + | 0.231458i | ||||
\(449\) | 332.069 | − | 6970.98i | 0.0349026 | − | 0.732697i | −0.911809 | − | 0.410614i | \(-0.865314\pi\) |
0.946712 | − | 0.322082i | \(-0.104383\pi\) | |||||||
\(450\) | −2993.09 | − | 4203.21i | −0.313546 | − | 0.440314i | ||||
\(451\) | −1519.27 | − | 4389.65i | −0.158625 | − | 0.458316i | ||||
\(452\) | 30816.6 | − | 5939.41i | 3.20684 | − | 0.618067i | ||||
\(453\) | −8705.20 | − | 3485.04i | −0.902883 | − | 0.361460i | ||||
\(454\) | −5468.51 | + | 11974.4i | −0.565309 | + | 1.23785i | ||||
\(455\) | 117.430 | − | 135.522i | 0.0120994 | − | 0.0139634i | ||||
\(456\) | 2279.65 | − | 9396.86i | 0.234111 | − | 0.965018i | ||||
\(457\) | 9096.74 | + | 8673.72i | 0.931132 | + | 0.887833i | 0.993910 | − | 0.110195i | \(-0.0351475\pi\) |
−0.0627779 | + | 0.998028i | \(0.519996\pi\) | |||||||
\(458\) | 16026.8 | − | 12603.6i | 1.63511 | − | 1.28587i | ||||
\(459\) | −137.868 | − | 2894.20i | −0.0140199 | − | 0.294313i | ||||
\(460\) | −78.4353 | − | 171.749i | −0.00795014 | − | 0.0174084i | ||||
\(461\) | 279.935 | + | 82.1963i | 0.0282817 | + | 0.00830426i | 0.295843 | − | 0.955237i | \(-0.404400\pi\) |
−0.267561 | + | 0.963541i | \(0.586218\pi\) | |||||||
\(462\) | −591.725 | + | 830.962i | −0.0595878 | + | 0.0836793i | ||||
\(463\) | 12462.1 | + | 9800.30i | 1.25089 | + | 0.983712i | 0.999876 | + | 0.0157289i | \(0.00500686\pi\) |
0.251015 | + | 0.967983i | \(0.419236\pi\) | |||||||
\(464\) | −20.9771 | − | 145.899i | −0.00209879 | − | 0.0145974i | ||||
\(465\) | 177.634 | + | 34.2361i | 0.0177152 | + | 0.00341433i | ||||
\(466\) | 14413.4 | + | 9262.95i | 1.43281 | + | 0.920811i | ||||
\(467\) | 13482.3 | + | 1287.40i | 1.33594 | + | 0.127567i | 0.738450 | − | 0.674308i | \(-0.235558\pi\) |
0.597491 | + | 0.801875i | \(0.296164\pi\) | |||||||
\(468\) | 9760.52 | 0.964060 | ||||||||
\(469\) | −446.783 | − | 3899.79i | −0.0439883 | − | 0.383956i | ||||
\(470\) | −100.404 | −0.00985385 | ||||||||
\(471\) | −491.866 | − | 46.9675i | −0.0481189 | − | 0.00459479i | ||||
\(472\) | −15012.6 | − | 9648.02i | −1.46401 | − | 0.940861i | ||||
\(473\) | 124.228 | + | 23.9430i | 0.0120761 | + | 0.00232749i | ||||
\(474\) | 1557.45 | + | 10832.3i | 0.150920 | + | 1.04967i | ||||
\(475\) | 13603.6 | + | 10698.0i | 1.31405 | + | 1.03338i | ||||
\(476\) | −5822.44 | + | 8176.48i | −0.560654 | + | 0.787328i | ||||
\(477\) | 4173.66 | + | 1225.50i | 0.400626 | + | 0.117634i | ||||
\(478\) | −1069.56 | − | 2342.02i | −0.102344 | − | 0.224103i | ||||
\(479\) | 105.771 | + | 2220.40i | 0.0100893 | + | 0.211801i | 0.998282 | + | 0.0585870i | \(0.0186595\pi\) |
−0.988193 | + | 0.153214i | \(0.951037\pi\) | |||||||
\(480\) | −125.196 | + | 98.4553i | −0.0119050 | + | 0.00936218i | ||||
\(481\) | −20891.0 | − | 19919.6i | −1.98035 | − | 1.88826i | ||||
\(482\) | 3393.86 | − | 13989.7i | 0.320718 | − | 1.32202i | ||||
\(483\) | −672.955 | + | 776.632i | −0.0633965 | + | 0.0731635i | ||||
\(484\) | −6644.08 | + | 14548.5i | −0.623974 | + | 1.36631i | ||||
\(485\) | −272.082 | − | 108.925i | −0.0254734 | − | 0.0101980i | ||||
\(486\) | 1095.22 | − | 211.086i | 0.102222 | − | 0.0197017i | ||||
\(487\) | −239.019 | − | 690.599i | −0.0222402 | − | 0.0642588i | 0.933334 | − | 0.359008i | \(-0.116885\pi\) |
−0.955575 | + | 0.294749i | \(0.904764\pi\) | |||||||
\(488\) | −780.127 | − | 1095.54i | −0.0723662 | − | 0.101624i | ||||
\(489\) | −281.080 | + | 5900.59i | −0.0259936 | + | 0.545672i | ||||
\(490\) | 375.347 | − | 150.266i | 0.0346050 | − | 0.0138537i | ||||
\(491\) | −10623.2 | + | 6827.09i | −0.976409 | + | 0.627500i | −0.928492 | − | 0.371351i | \(-0.878895\pi\) |
−0.0479165 | + | 0.998851i | \(0.515258\pi\) | |||||||
\(492\) | 15638.8 | − | 8062.37i | 1.43303 | − | 0.738780i | ||||
\(493\) | 4639.12 | + | 5353.83i | 0.423804 | + | 0.489096i | ||||
\(494\) | −50638.2 | + | 14868.7i | −4.61198 | + | 1.35420i | ||||
\(495\) | −9.19796 | + | 26.5758i | −0.000835187 | + | 0.00241311i | ||||
\(496\) | 63.4720 | − | 441.458i | 0.00574593 | − | 0.0399638i | ||||
\(497\) | −293.259 | + | 279.622i | −0.0264677 | + | 0.0252369i | ||||
\(498\) | 823.571 | + | 1426.47i | 0.0741066 | + | 0.128356i | ||||
\(499\) | 9930.49 | − | 17200.1i | 0.890881 | − | 1.54305i | 0.0520604 | − | 0.998644i | \(-0.483421\pi\) |
0.838821 | − | 0.544408i | \(-0.183246\pi\) | |||||||
\(500\) | 232.447 | + | 958.160i | 0.0207907 | + | 0.0857004i | ||||
\(501\) | −5107.09 | − | 2632.89i | −0.455425 | − | 0.234788i | ||||
\(502\) | −24641.5 | + | 2352.97i | −2.19084 | + | 0.209200i | ||||
\(503\) | 3900.44 | − | 372.447i | 0.345750 | − | 0.0330151i | 0.0792631 | − | 0.996854i | \(-0.474743\pi\) |
0.266486 | + | 0.963839i | \(0.414137\pi\) | |||||||
\(504\) | −1331.97 | − | 686.680i | −0.117720 | − | 0.0606888i | ||||
\(505\) | −54.7235 | − | 225.573i | −0.00482211 | − | 0.0198770i | ||||
\(506\) | 1136.82 | − | 1969.04i | 0.0998774 | − | 0.172993i | ||||
\(507\) | −7034.92 | − | 12184.8i | −0.616236 | − | 1.06735i | ||||
\(508\) | 6992.99 | − | 6667.81i | 0.610756 | − | 0.582355i | ||||
\(509\) | −409.113 | + | 2845.44i | −0.0356260 | + | 0.247784i | −0.999850 | − | 0.0173036i | \(-0.994492\pi\) |
0.964224 | + | 0.265088i | \(0.0854009\pi\) | |||||||
\(510\) | −145.911 | + | 421.582i | −0.0126687 | + | 0.0366038i | ||||
\(511\) | 1939.24 | − | 569.412i | 0.167881 | − | 0.0492942i | ||||
\(512\) | 529.272 | + | 610.812i | 0.0456850 | + | 0.0527233i | ||||
\(513\) | −3325.02 | + | 1714.17i | −0.286166 | + | 0.147529i | ||||
\(514\) | −5501.69 | + | 3535.72i | −0.472119 | + | 0.303413i | ||||
\(515\) | 178.582 | − | 71.4933i | 0.0152801 | − | 0.00611723i | ||||
\(516\) | −22.8017 | + | 478.666i | −0.00194532 | + | 0.0408374i | ||||
\(517\) | −435.016 | − | 610.895i | −0.0370058 | − | 0.0519674i | ||||
\(518\) | 3737.50 | + | 10798.8i | 0.317020 | + | 0.915968i | ||||
\(519\) | 11052.6 | − | 2130.22i | 0.934792 | − | 0.180166i | ||||
\(520\) | −541.080 | − | 216.616i | −0.0456306 | − | 0.0182677i | ||||
\(521\) | −7599.68 | + | 16641.0i | −0.639056 | + | 1.39934i | 0.261759 | + | 0.965133i | \(0.415698\pi\) |
−0.900815 | + | 0.434204i | \(0.857030\pi\) | |||||||
\(522\) | −1785.81 | + | 2060.93i | −0.149737 | + | 0.172806i | ||||
\(523\) | 2831.85 | − | 11673.0i | 0.236765 | − | 0.975959i | −0.722030 | − | 0.691861i | \(-0.756791\pi\) |
0.958795 | − | 0.284097i | \(-0.0916939\pi\) | |||||||
\(524\) | 12103.4 | + | 11540.5i | 1.00904 | + | 0.962121i | ||||
\(525\) | 2108.27 | − | 1657.96i | 0.175262 | − | 0.137828i | ||||
\(526\) | 1036.33 | + | 21755.2i | 0.0859052 | + | 1.80337i | ||||
\(527\) | 8904.44 | + | 19498.0i | 0.736022 | + | 1.61166i | ||||
\(528\) | 66.5245 | + | 19.5334i | 0.00548316 | + | 0.00161000i | ||||
\(529\) | −5728.99 | + | 8045.24i | −0.470863 | + | 0.661235i | ||||
\(530\) | −526.448 | − | 414.004i | −0.0431461 | − | 0.0339305i | ||||
\(531\) | 982.543 | + | 6833.74i | 0.0802989 | + | 0.558491i | ||||
\(532\) | 12725.2 | + | 2452.59i | 1.03705 | + | 0.199875i | ||||
\(533\) | −31331.7 | − | 20135.7i | −2.54621 | − | 1.63635i | ||||
\(534\) | 5006.50 | + | 478.063i | 0.405716 | + | 0.0387412i | ||||
\(535\) | −144.950 | −0.0117135 | ||||||||
\(536\) | −11503.0 | + | 5517.89i | −0.926969 | + | 0.444657i | ||||
\(537\) | 6643.61 | 0.533879 | ||||||||
\(538\) | 35747.8 | + | 3413.50i | 2.86468 | + | 0.273543i | ||||
\(539\) | 2540.51 | + | 1632.69i | 0.203020 | + | 0.130473i | ||||
\(540\) | −104.597 | − | 20.1594i | −0.00833542 | − | 0.00160652i | ||||
\(541\) | 1670.93 | + | 11621.6i | 0.132789 | + | 0.923570i | 0.941895 | + | 0.335907i | \(0.109043\pi\) |
−0.809106 | + | 0.587663i | \(0.800048\pi\) | |||||||
\(542\) | −2452.63 | − | 1928.77i | −0.194372 | − | 0.152856i | ||||
\(543\) | 2837.06 | − | 3984.09i | 0.224217 | − | 0.314869i | ||||
\(544\) | −18107.5 | − | 5316.85i | −1.42712 | − | 0.419041i | ||||
\(545\) | 73.7801 | + | 161.556i | 0.00579888 | + | 0.0126978i | ||||
\(546\) | 389.181 | + | 8169.91i | 0.0305044 | + | 0.640366i | ||||
\(547\) | 11173.0 | − | 8786.58i | 0.873354 | − | 0.686813i | −0.0773195 | − | 0.997006i | \(-0.524636\pi\) |
0.950674 | + | 0.310193i | \(0.100394\pi\) | |||||||
\(548\) | −19351.4 | − | 18451.5i | −1.50849 | − | 1.43834i | ||||
\(549\) | −122.669 | + | 505.648i | −0.00953622 | + | 0.0393088i | ||||
\(550\) | −3886.06 | + | 4484.76i | −0.301277 | + | 0.347692i | ||||
\(551\) | 3799.45 | − | 8319.63i | 0.293760 | − | 0.643245i | ||||
\(552\) | 3100.76 | + | 1241.36i | 0.239089 | + | 0.0957166i | ||||
\(553\) | −5585.60 | + | 1076.54i | −0.429519 | + | 0.0827830i | ||||
\(554\) | 4645.63 | + | 13422.7i | 0.356270 | + | 1.02938i | ||||
\(555\) | 182.733 | + | 256.613i | 0.0139758 | + | 0.0196263i | ||||
\(556\) | −879.492 | + | 18462.8i | −0.0670841 | + | 1.40827i | ||||
\(557\) | −11703.7 | + | 4685.44i | −0.890306 | + | 0.356425i | −0.771302 | − | 0.636469i | \(-0.780394\pi\) |
−0.119004 | + | 0.992894i | \(0.537970\pi\) | |||||||
\(558\) | −6941.46 | + | 4461.00i | −0.526622 | + | 0.338440i | ||||
\(559\) | 901.615 | − | 464.815i | 0.0682187 | − | 0.0351692i | ||||
\(560\) | 3.15960 | + | 3.64637i | 0.000238424 | + | 0.000275156i | ||||
\(561\) | −3197.23 | + | 938.791i | −0.240619 | + | 0.0706521i | ||||
\(562\) | 5421.48 | − | 15664.3i | 0.406924 | − | 1.17573i | ||||
\(563\) | −1625.97 | + | 11308.9i | −0.121717 | + | 0.846557i | 0.833894 | + | 0.551925i | \(0.186106\pi\) |
−0.955611 | + | 0.294633i | \(0.904803\pi\) | |||||||
\(564\) | 2055.88 | − | 1960.28i | 0.153490 | − | 0.146352i | ||||
\(565\) | 362.506 | + | 627.878i | 0.0269924 | + | 0.0467523i | ||||
\(566\) | 9592.15 | − | 16614.1i | 0.712346 | − | 1.23382i | ||||
\(567\) | 136.683 | + | 563.414i | 0.0101237 | + | 0.0417305i | ||||
\(568\) | 1170.59 | + | 603.480i | 0.0864732 | + | 0.0445800i | ||||
\(569\) | −26565.0 | + | 2536.65i | −1.95723 | + | 0.186893i | −0.996034 | − | 0.0889783i | \(-0.971640\pi\) |
−0.961195 | + | 0.275871i | \(0.911034\pi\) | |||||||
\(570\) | 573.364 | − | 54.7496i | 0.0421326 | − | 0.00402317i | ||||
\(571\) | 7518.96 | + | 3876.30i | 0.551066 | + | 0.284094i | 0.711187 | − | 0.703003i | \(-0.248158\pi\) |
−0.160121 | + | 0.987097i | \(0.551188\pi\) | |||||||
\(572\) | −2646.38 | − | 10908.5i | −0.193445 | − | 0.797392i | ||||
\(573\) | −4191.20 | + | 7259.38i | −0.305567 | + | 0.529258i | ||||
\(574\) | 7372.06 | + | 12768.8i | 0.536069 | + | 0.928499i | ||||
\(575\) | −4326.41 | + | 4125.22i | −0.313780 | + | 0.299189i | ||||
\(576\) | 1056.75 | − | 7349.87i | 0.0764433 | − | 0.531675i | ||||
\(577\) | −6459.55 | + | 18663.6i | −0.466056 | + | 1.34658i | 0.430075 | + | 0.902793i | \(0.358487\pi\) |
−0.896132 | + | 0.443788i | \(0.853634\pi\) | |||||||
\(578\) | −29081.7 | + | 8539.15i | −2.09280 | + | 0.614502i | ||||
\(579\) | −1963.27 | − | 2265.74i | −0.140917 | − | 0.162627i | ||||
\(580\) | 231.486 | − | 119.339i | 0.0165723 | − | 0.00854362i | ||||
\(581\) | −720.250 | + | 462.876i | −0.0514303 | + | 0.0330522i | ||||
\(582\) | 12410.2 | − | 4968.28i | 0.883879 | − | 0.353852i | ||||
\(583\) | 238.028 | − | 4996.82i | 0.0169093 | − | 0.354970i | ||||
\(584\) | −3810.40 | − | 5350.96i | −0.269992 | − | 0.379151i | ||||
\(585\) | 73.7481 | + | 213.081i | 0.00521215 | + | 0.0150595i | ||||
\(586\) | 28778.8 | − | 5546.67i | 2.02874 | − | 0.391008i | ||||
\(587\) | −6663.32 | − | 2667.59i | −0.468526 | − | 0.187569i | 0.125372 | − | 0.992110i | \(-0.459987\pi\) |
−0.593898 | + | 0.804540i | \(0.702412\pi\) | |||||||
\(588\) | −4751.84 | + | 10405.1i | −0.333269 | + | 0.729758i | ||||
\(589\) | 18122.8 | − | 20914.8i | 1.26780 | − | 1.46312i | ||||
\(590\) | 250.610 | − | 1033.03i | 0.0174872 | − | 0.0720832i | ||||
\(591\) | −6904.66 | − | 6583.58i | −0.480575 | − | 0.458227i | ||||
\(592\) | 610.499 | − | 480.102i | 0.0423840 | − | 0.0333312i | ||||
\(593\) | −515.996 | − | 10832.1i | −0.0357326 | − | 0.750119i | −0.943645 | − | 0.330959i | \(-0.892628\pi\) |
0.907912 | − | 0.419160i | \(-0.137675\pi\) | |||||||
\(594\) | −532.861 | − | 1166.80i | −0.0368073 | − | 0.0805967i | ||||
\(595\) | −222.493 | − | 65.3299i | −0.0153300 | − | 0.00450129i | ||||
\(596\) | −1157.12 | + | 1624.95i | −0.0795260 | + | 0.111679i | ||||
\(597\) | −4515.24 | − | 3550.83i | −0.309542 | − | 0.243427i | ||||
\(598\) | −2594.38 | − | 18044.3i | −0.177411 | − | 1.23392i | ||||
\(599\) | 14999.4 | + | 2890.91i | 1.02314 | + | 0.197194i | 0.673108 | − | 0.739544i | \(-0.264959\pi\) |
0.350031 | + | 0.936738i | \(0.386171\pi\) | |||||||
\(600\) | −7333.51 | − | 4712.96i | −0.498982 | − | 0.320677i | ||||
\(601\) | 18090.4 | + | 1727.42i | 1.22783 | + | 0.117243i | 0.688740 | − | 0.725008i | \(-0.258164\pi\) |
0.539085 | + | 0.842251i | \(0.318770\pi\) | |||||||
\(602\) | −401.570 | −0.0271873 | ||||||||
\(603\) | 4527.62 | + | 1965.32i | 0.305769 | + | 0.132726i | ||||
\(604\) | −40846.4 | −2.75169 | ||||||||
\(605\) | −367.809 | − | 35.1215i | −0.0247166 | − | 0.00236015i | ||||
\(606\) | 8906.58 | + | 5723.91i | 0.597038 | + | 0.383693i | ||||
\(607\) | −25767.8 | − | 4966.33i | −1.72303 | − | 0.332087i | −0.770712 | − | 0.637184i | \(-0.780099\pi\) |
−0.952322 | + | 0.305096i | \(0.901311\pi\) | |||||||
\(608\) | 3467.52 | + | 24117.1i | 0.231294 | + | 1.60868i | ||||
\(609\) | −1114.20 | − | 876.217i | −0.0741374 | − | 0.0583023i | ||||
\(610\) | 46.4693 | − | 65.2570i | 0.00308440 | − | 0.00433144i | ||||
\(611\) | −5769.48 | − | 1694.07i | −0.382010 | − | 0.112168i | ||||
\(612\) | −5243.23 | − | 11481.1i | −0.346315 | − | 0.758325i | ||||
\(613\) | 761.859 | + | 15993.4i | 0.0501977 | + | 1.05378i | 0.873700 | + | 0.486466i | \(0.161714\pi\) |
−0.823502 | + | 0.567314i | \(0.807983\pi\) | |||||||
\(614\) | −31168.5 | + | 24511.2i | −2.04863 | + | 1.61106i | ||||
\(615\) | 294.172 | + | 280.493i | 0.0192881 | + | 0.0183911i | ||||
\(616\) | −406.306 | + | 1674.82i | −0.0265755 | + | 0.109546i | ||||
\(617\) | 1208.60 | − | 1394.80i | 0.0788599 | − | 0.0910092i | −0.714948 | − | 0.699177i | \(-0.753550\pi\) |
0.793808 | + | 0.608168i | \(0.208095\pi\) | |||||||
\(618\) | −3644.83 | + | 7981.06i | −0.237243 | + | 0.519491i | ||||
\(619\) | 4950.76 | + | 1981.99i | 0.321467 | + | 0.128696i | 0.526783 | − | 0.850000i | \(-0.323398\pi\) |
−0.205316 | + | 0.978696i | \(0.565822\pi\) | |||||||
\(620\) | 773.787 | − | 149.135i | 0.0501226 | − | 0.00966034i | ||||
\(621\) | −422.627 | − | 1221.10i | −0.0273099 | − | 0.0789067i | ||||
\(622\) | −20684.8 | − | 29047.8i | −1.33342 | − | 1.87252i | ||||
\(623\) | −124.386 | + | 2611.19i | −0.00799908 | + | 0.167921i | ||||
\(624\) | 516.083 | − | 206.609i | 0.0331088 | − | 0.0132547i | ||||
\(625\) | 13115.8 | − | 8429.04i | 0.839414 | − | 0.539459i | ||||
\(626\) | −13396.7 | + | 6906.46i | −0.855333 | + | 0.440955i | ||||
\(627\) | 2817.30 | + | 3251.33i | 0.179445 | + | 0.207090i | ||||
\(628\) | −2065.17 | + | 606.388i | −0.131225 | + | 0.0385311i | ||||
\(629\) | −12208.5 | + | 35274.2i | −0.773904 | + | 2.23605i | ||||
\(630\) | 12.7035 | − | 88.3550i | 0.000803367 | − | 0.00558754i | ||||
\(631\) | −10071.0 | + | 9602.65i | −0.635371 | + | 0.605825i | −0.937728 | − | 0.347370i | \(-0.887075\pi\) |
0.302358 | + | 0.953195i | \(0.402226\pi\) | |||||||
\(632\) | 9244.22 | + | 16011.5i | 0.581828 | + | 1.00776i | ||||
\(633\) | −6091.46 | + | 10550.7i | −0.382486 | + | 0.662486i | ||||
\(634\) | −7470.86 | − | 30795.3i | −0.467990 | − | 1.92908i | ||||
\(635\) | 198.402 | + | 102.283i | 0.0123990 | + | 0.00639211i | ||||
\(636\) | 18862.5 | − | 1801.15i | 1.17602 | − | 0.112296i | ||||
\(637\) | 24103.7 | − | 2301.62i | 1.49925 | − | 0.143161i | ||||
\(638\) | 2787.52 | + | 1437.07i | 0.172977 | + | 0.0891757i | ||||
\(639\) | −120.122 | − | 495.149i | −0.00743654 | − | 0.0306539i | ||||
\(640\) | −359.277 | + | 622.285i | −0.0221901 | + | 0.0384343i | ||||
\(641\) | −375.341 | − | 650.109i | −0.0231280 | − | 0.0400589i | 0.854230 | − | 0.519896i | \(-0.174029\pi\) |
−0.877358 | + | 0.479837i | \(0.840696\pi\) | |||||||
\(642\) | 4784.93 | − | 4562.42i | 0.294153 | − | 0.280474i | ||||
\(643\) | 2480.79 | − | 17254.2i | 0.152150 | − | 1.05823i | −0.760456 | − | 0.649389i | \(-0.775025\pi\) |
0.912606 | − | 0.408839i | \(-0.134066\pi\) | |||||||
\(644\) | −1464.10 | + | 4230.24i | −0.0895864 | + | 0.258843i | ||||
\(645\) | −10.6220 | + | 3.11890i | −0.000648436 | + | 0.000190398i | ||||
\(646\) | 44691.9 | + | 51577.2i | 2.72195 | + | 3.14130i | ||||
\(647\) | 5937.75 | − | 3061.12i | 0.360799 | − | 0.186005i | −0.268290 | − | 0.963338i | \(-0.586458\pi\) |
0.629089 | + | 0.777333i | \(0.283428\pi\) | |||||||
\(648\) | 1585.20 | − | 1018.74i | 0.0960993 | − | 0.0617593i | ||||
\(649\) | 7371.10 | − | 2950.94i | 0.445826 | − | 0.178482i | ||||
\(650\) | −2263.93 | + | 47525.7i | −0.136613 | + | 2.86786i | ||||
\(651\) | −2487.82 | − | 3493.66i | −0.149778 | − | 0.210334i | ||||
\(652\) | 8416.30 | + | 24317.3i | 0.505533 | + | 1.46064i | ||||
\(653\) | 10422.3 | − | 2008.74i | 0.624590 | − | 0.120380i | 0.132870 | − | 0.991133i | \(-0.457581\pi\) |
0.491720 | + | 0.870754i | \(0.336369\pi\) | |||||||
\(654\) | −7520.65 | − | 3010.81i | −0.449664 | − | 0.180018i | ||||
\(655\) | −160.491 | + | 351.426i | −0.00957389 | + | 0.0209639i | ||||
\(656\) | 656.233 | − | 757.334i | 0.0390573 | − | 0.0450746i | ||||
\(657\) | −599.156 | + | 2469.75i | −0.0355788 | + | 0.146658i | ||||
\(658\) | 1722.80 | + | 1642.69i | 0.102070 | + | 0.0973231i | ||||
\(659\) | 9332.18 | − | 7338.91i | 0.551639 | − | 0.433814i | −0.303034 | − | 0.952980i | \(-0.598000\pi\) |
0.854674 | + | 0.519166i | \(0.173757\pi\) | |||||||
\(660\) | 5.82896 | + | 122.365i | 0.000343776 | + | 0.00721674i | ||||
\(661\) | −10719.3 | − | 23472.0i | −0.630761 | − | 1.38117i | −0.907428 | − | 0.420207i | \(-0.861957\pi\) |
0.276668 | − | 0.960966i | \(-0.410770\pi\) | |||||||
\(662\) | −15910.6 | − | 4671.77i | −0.934112 | − | 0.274280i | ||||
\(663\) | −15497.5 | + | 21763.2i | −0.907804 | + | 1.27483i | ||||
\(664\) | 2187.35 | + | 1720.15i | 0.127840 | + | 0.100534i | ||||
\(665\) | 42.6066 | + | 296.335i | 0.00248453 | + | 0.0172803i | ||||
\(666\) | −14109.3 | − | 2719.34i | −0.820905 | − | 0.158217i | ||||
\(667\) | 2657.74 | + | 1708.02i | 0.154285 | + | 0.0991528i | ||||
\(668\) | −24915.9 | − | 2379.18i | −1.44315 | − | 0.137804i | ||||
\(669\) | −3401.76 | −0.196592 | ||||||||
\(670\) | −534.708 | − | 540.007i | −0.0308322 | − | 0.0311378i | ||||
\(671\) | 598.381 | 0.0344266 | ||||||||
\(672\) | 3758.99 | + | 358.940i | 0.215783 | + | 0.0206048i | ||||
\(673\) | 7880.40 | + | 5064.42i | 0.451363 | + | 0.290073i | 0.746505 | − | 0.665380i | \(-0.231731\pi\) |
−0.295142 | + | 0.955453i | \(0.595367\pi\) | |||||||
\(674\) | 35373.3 | + | 6817.65i | 2.02156 | + | 0.389623i | ||||
\(675\) | 479.962 | + | 3338.21i | 0.0273685 | + | 0.190352i | ||||
\(676\) | −48176.6 | − | 37886.5i | −2.74105 | − | 2.15558i | ||||
\(677\) | 14892.2 | − | 20913.2i | 0.845426 | − | 1.18724i | −0.135097 | − | 0.990832i | \(-0.543135\pi\) |
0.980523 | − | 0.196403i | \(-0.0629260\pi\) | |||||||
\(678\) | −31729.6 | − | 9316.65i | −1.79730 | − | 0.527734i | ||||
\(679\) | 2886.46 | + | 6320.46i | 0.163140 | + | 0.357227i | ||||
\(680\) | 35.8614 | + | 752.823i | 0.00202238 | + | 0.0424551i | ||||
\(681\) | 6763.11 | − | 5318.57i | 0.380562 | − | 0.299277i | ||||
\(682\) | 6867.74 | + | 6548.38i | 0.385600 | + | 0.367669i | ||||
\(683\) | 1639.04 | − | 6756.20i | 0.0918243 | − | 0.378505i | −0.907294 | − | 0.420498i | \(-0.861856\pi\) |
0.999118 | + | 0.0419928i | \(0.0133707\pi\) | |||||||
\(684\) | −10671.3 | + | 12315.3i | −0.596531 | + | 0.688433i | ||||
\(685\) | 256.599 | − | 561.874i | 0.0143126 | − | 0.0313403i | ||||
\(686\) | −19360.3 | − | 7750.68i | −1.07752 | − | 0.431374i | ||||
\(687\) | −13085.2 | + | 2521.97i | −0.726684 | + | 0.140057i | ||||
\(688\) | 8.92668 | + | 25.7919i | 0.000494660 | + | 0.00142923i | ||||
\(689\) | −23265.7 | − | 32672.1i | −1.28643 | − | 1.80654i | ||||
\(690\) | −9.46651 | + | 198.726i | −0.000522295 | + | 0.0109643i | ||||
\(691\) | −22878.4 | + | 9159.12i | −1.25953 | + | 0.504240i | −0.902837 | − | 0.429982i | \(-0.858520\pi\) |
−0.356692 | + | 0.934222i | \(0.616095\pi\) | |||||||
\(692\) | 41248.6 | − | 26508.8i | 2.26595 | − | 1.45624i | ||||
\(693\) | 592.622 | − | 305.518i | 0.0324847 | − | 0.0167470i | ||||
\(694\) | 28768.1 | + | 33200.1i | 1.57352 | + | 1.81593i | ||||
\(695\) | −409.706 | + | 120.301i | −0.0223612 | + | 0.00656584i | ||||
\(696\) | −1506.81 | + | 4353.65i | −0.0820627 | + | 0.237105i | ||||
\(697\) | −6854.12 | + | 47671.4i | −0.372480 | + | 2.59065i | ||||
\(698\) | −1028.71 | + | 980.874i | −0.0557841 | + | 0.0531900i | ||||
\(699\) | −5599.10 | − | 9697.92i | −0.302972 | − | 0.524762i | ||||
\(700\) | 5841.72 | − | 10118.2i | 0.315423 | − | 0.546329i | ||||
\(701\) | 528.327 | + | 2177.79i | 0.0284659 | + | 0.117338i | 0.984272 | − | 0.176660i | \(-0.0565292\pi\) |
−0.955806 | + | 0.293998i | \(0.905014\pi\) | |||||||
\(702\) | −9141.40 | − | 4712.72i | −0.491481 | − | 0.253376i | ||||
\(703\) | 47974.0 | − | 4580.96i | 2.57379 | − | 0.245767i | ||||
\(704\) | −8500.86 | + | 811.734i | −0.455097 | + | 0.0434565i | ||||
\(705\) | 58.3286 | + | 30.0705i | 0.00311600 | + | 0.00160641i | ||||
\(706\) | −5589.19 | − | 23038.9i | −0.297949 | − | 1.22816i | ||||
\(707\) | −2751.56 | + | 4765.84i | −0.146369 | + | 0.253519i | ||||
\(708\) | 15037.2 | + | 26045.2i | 0.798210 | + | 1.38254i | ||||
\(709\) | 9162.38 | − | 8736.31i | 0.485332 | − | 0.462763i | −0.407466 | − | 0.913220i | \(-0.633588\pi\) |
0.892798 | + | 0.450457i | \(0.148739\pi\) | |||||||
\(710\) | −11.1643 | + | 77.6497i | −0.000590127 | + | 0.00410443i | ||||
\(711\) | 2339.43 | − | 6759.34i | 0.123397 | − | 0.356533i | ||||
\(712\) | 8152.34 | − | 2393.74i | 0.429104 | − | 0.125996i | ||||
\(713\) | 6259.96 | + | 7224.38i | 0.328804 | + | 0.379460i | ||||
\(714\) | 9401.01 | − | 4846.56i | 0.492751 | − | 0.254031i | ||||
\(715\) | 218.148 | − | 140.195i | 0.0114102 | − | 0.00733287i | ||||
\(716\) | 26867.0 | − | 10755.9i | 1.40233 | − | 0.561408i | ||||
\(717\) | −80.0706 | + | 1680.89i | −0.00417056 | + | 0.0875508i | ||||
\(718\) | 2403.11 | + | 3374.69i | 0.124907 | + | 0.175407i | ||||
\(719\) | 1102.40 | + | 3185.17i | 0.0571801 | + | 0.165211i | 0.969974 | − | 0.243211i | \(-0.0782006\pi\) |
−0.912793 | + | 0.408421i | \(0.866079\pi\) | |||||||
\(720\) | −5.95724 | + | 1.14816i | −0.000308352 | + | 5.94299e-5i | ||||
\(721\) | −4233.90 | − | 1695.00i | −0.218694 | − | 0.0875520i | ||||
\(722\) | 23524.3 | − | 51511.0i | 1.21258 | − | 2.65518i | ||||
\(723\) | −6161.43 | + | 7110.67i | −0.316938 | + | 0.365766i | ||||
\(724\) | 5022.98 | − | 20705.0i | 0.257842 | − | 1.06284i | ||||
\(725\) | −5967.63 | − | 5690.12i | −0.305700 | − | 0.291484i | ||||
\(726\) | 13247.2 | − | 10417.7i | 0.677202 | − | 0.532557i | ||||
\(727\) | −668.337 | − | 14030.1i | −0.0340952 | − | 0.715747i | −0.949605 | − | 0.313450i | \(-0.898515\pi\) |
0.915509 | − | 0.402297i | \(-0.131788\pi\) | |||||||
\(728\) | 5740.20 | + | 12569.3i | 0.292233 | + | 0.639902i | ||||
\(729\) | −699.470 | − | 205.383i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 226.971 | − | 318.737i | 0.0115077 | − | 0.0161602i | ||||
\(731\) | −1031.09 | − | 810.856i | −0.0521699 | − | 0.0410268i | ||||
\(732\) | 322.561 | + | 2243.46i | 0.0162872 | + | 0.113280i | ||||
\(733\) | −16777.9 | − | 3233.67i | −0.845436 | − | 0.162944i | −0.251901 | − | 0.967753i | \(-0.581056\pi\) |
−0.593534 | + | 0.804809i | \(0.702268\pi\) | |||||||
\(734\) | −4311.61 | − | 2770.91i | −0.216818 | − | 0.139341i | ||||
\(735\) | −263.056 | − | 25.1188i | −0.0132013 | − | 0.00126057i | ||||
\(736\) | −8416.19 | −0.421501 | ||||||||
\(737\) | 968.894 | − | 5593.00i | 0.0484256 | − | 0.279540i | ||||
\(738\) | −18539.6 | −0.924733 | ||||||||
\(739\) | 13407.2 | + | 1280.24i | 0.667379 | + | 0.0637269i | 0.423246 | − | 0.906015i | \(-0.360891\pi\) |
0.244133 | + | 0.969742i | \(0.421497\pi\) | |||||||
\(740\) | 1154.43 | + | 741.909i | 0.0573484 | + | 0.0368556i | ||||
\(741\) | 33870.6 | + | 6528.03i | 1.67917 | + | 0.323634i | ||||
\(742\) | 2259.73 | + | 15716.8i | 0.111803 | + | 0.777604i | ||||
\(743\) | 11555.7 | + | 9087.52i | 0.570577 | + | 0.448707i | 0.861297 | − | 0.508102i | \(-0.169653\pi\) |
−0.290720 | + | 0.956808i | \(0.593895\pi\) | |||||||
\(744\) | −8085.93 | + | 11355.1i | −0.398447 | + | 0.559540i | ||||
\(745\) | −44.2171 | − | 12.9833i | −0.00217448 | − | 0.000638486i | ||||
\(746\) | −20729.7 | − | 45391.8i | −1.01739 | − | 2.22776i | ||||
\(747\) | −51.2248 | − | 1075.34i | −0.00250899 | − | 0.0526702i | ||||
\(748\) | −11409.8 | + | 8972.80i | −0.557734 | + | 0.438607i | ||||
\(749\) | 2487.14 | + | 2371.49i | 0.121333 | + | 0.115691i | ||||
\(750\) | 244.930 | − | 1009.62i | 0.0119248 | − | 0.0491546i | ||||
\(751\) | −18528.6 | + | 21383.2i | −0.900292 | + | 1.03899i | 0.0987446 | + | 0.995113i | \(0.468517\pi\) |
−0.999037 | + | 0.0438798i | \(0.986028\pi\) | |||||||
\(752\) | 67.2092 | − | 147.168i | 0.00325913 | − | 0.00713650i | ||||
\(753\) | 15019.8 | + | 6013.03i | 0.726896 | + | 0.291005i | ||||
\(754\) | 24690.9 | − | 4758.78i | 1.19256 | − | 0.229847i | ||||
\(755\) | −308.626 | − | 891.717i | −0.0148769 | − | 0.0429840i | ||||
\(756\) | 1464.91 | + | 2057.18i | 0.0704741 | + | 0.0989670i | ||||
\(757\) | 1637.53 | − | 34376.0i | 0.0786223 | − | 1.65049i | −0.523459 | − | 0.852051i | \(-0.675359\pi\) |
0.602081 | − | 0.798435i | \(-0.294338\pi\) | |||||||
\(758\) | 53922.5 | − | 21587.3i | 2.58384 | − | 1.03441i | ||||
\(759\) | −1250.14 | + | 803.413i | −0.0597853 | + | 0.0384217i | ||||
\(760\) | 864.884 | − | 445.879i | 0.0412798 | − | 0.0212812i | ||||
\(761\) | 3495.56 | + | 4034.10i | 0.166510 | + | 0.192163i | 0.832872 | − | 0.553465i | \(-0.186695\pi\) |
−0.666362 | + | 0.745628i | \(0.732149\pi\) | |||||||
\(762\) | −9768.87 | + | 2868.40i | −0.464421 | + | 0.136366i | ||||
\(763\) | 1377.20 | − | 3979.17i | 0.0653449 | − | 0.188802i | ||||
\(764\) | −5196.55 | + | 36142.8i | −0.246079 | + | 1.71152i | ||||
\(765\) | 211.026 | − | 201.213i | 0.00997341 | − | 0.00950963i | ||||
\(766\) | −24980.3 | − | 43267.1i | −1.17830 | − | 2.04087i | ||||
\(767\) | 31830.4 | − | 55131.9i | 1.49847 | − | 2.59543i | ||||
\(768\) | −3058.58 | − | 12607.7i | −0.143707 | − | 0.592369i | ||||
\(769\) | 8492.51 | + | 4378.19i | 0.398241 | + | 0.205308i | 0.645701 | − | 0.763591i | \(-0.276565\pi\) |
−0.247459 | + | 0.968898i | \(0.579596\pi\) | |||||||
\(770\) | −102.191 | + | 9.75810i | −0.00478276 | + | 0.000456698i | ||||
\(771\) | 4255.06 | − | 406.309i | 0.198758 | − | 0.0189791i | ||||
\(772\) | −11607.8 | − | 5984.23i | −0.541157 | − | 0.278986i | ||||
\(773\) | 7921.02 | + | 32650.9i | 0.368563 | + | 1.51924i | 0.790415 | + | 0.612572i | \(0.209865\pi\) |
−0.421852 | + | 0.906665i | \(0.638620\pi\) | |||||||
\(774\) | 252.472 | − | 437.294i | 0.0117247 | − | 0.0203078i | ||||
\(775\) | −12474.7 | − | 21606.8i | −0.578200 | − | 1.00147i | ||||
\(776\) | 16344.5 | − | 15584.5i | 0.756100 | − | 0.720940i | ||||
\(777\) | 1062.92 | − | 7392.76i | 0.0490759 | − | 0.341331i | ||||
\(778\) | 1777.54 | − | 5135.85i | 0.0819123 | − | 0.236670i | ||||
\(779\) | 59661.6 | − | 17518.2i | 2.74403 | − | 0.805719i | ||||
\(780\) | 643.217 | + | 742.312i | 0.0295268 | + | 0.0340757i | ||||
\(781\) | −520.819 | + | 268.501i | −0.0238622 | + | 0.0123018i | ||||
\(782\) | −19831.4 | + | 12744.9i | −0.906867 | + | 0.582808i | ||||
\(783\) | 1654.68 | − | 662.433i | 0.0755216 | − | 0.0302343i | ||||
\(784\) | −30.9990 | + | 650.750i | −0.00141213 | + | 0.0296442i | ||||
\(785\) | −28.8419 | − | 40.5028i | −0.00131135 | − | 0.00184154i | ||||
\(786\) | −5763.47 | − | 16652.5i | −0.261547 | − | 0.755691i | ||||
\(787\) | −6617.14 | + | 1275.35i | −0.299715 | + | 0.0577653i | −0.336892 | − | 0.941543i | \(-0.609376\pi\) |
0.0371769 | + | 0.999309i | \(0.488163\pi\) | |||||||
\(788\) | −38581.5 | − | 15445.7i | −1.74417 | − | 0.698262i | ||||
\(789\) | 5913.51 | − | 12948.8i | 0.266827 | − | 0.584270i | ||||
\(790\) | −721.190 | + | 832.298i | −0.0324795 | + | 0.0374833i | ||||
\(791\) | 4052.44 | − | 16704.4i | 0.182159 | − | 0.750871i | ||||
\(792\) | −1568.36 | − | 1495.43i | −0.0703652 | − | 0.0670931i | ||||
\(793\) | 3771.28 | − | 2965.77i | 0.168880 | − | 0.132809i | ||||
\(794\) | −1502.92 | − | 31550.2i | −0.0671747 | − | 1.41017i | ||||
\(795\) | 181.842 | + | 398.178i | 0.00811227 | + | 0.0177634i | ||||
\(796\) | −24008.6 | − | 7049.56i | −1.06905 | − | 0.313901i | ||||
\(797\) | −439.359 | + | 616.993i | −0.0195268 | + | 0.0274216i | −0.824224 | − | 0.566264i | \(-0.808388\pi\) |
0.804697 | + | 0.593686i | \(0.202328\pi\) | |||||||
\(798\) | −10733.9 | − | 8441.21i | −0.476159 | − | 0.374456i | ||||
\(799\) | 1106.60 | + | 7696.54i | 0.0489969 | + | 0.340781i | ||||
\(800\) | 21569.2 | + | 4157.12i | 0.953232 | + | 0.183720i | ||||
\(801\) | −2765.28 | − | 1777.14i | −0.121980 | − | 0.0783921i | ||||
\(802\) | −20942.2 | − | 1999.74i | −0.922064 | − | 0.0880465i | ||||
\(803\) | 2922.69 | 0.128443 | ||||||||
\(804\) | 21491.7 | + | 617.652i | 0.942729 | + | 0.0270932i | ||||
\(805\) | −103.413 | −0.00452772 | ||||||||
\(806\) | 75739.7 | + | 7232.26i | 3.30995 | + | 0.316062i | ||||
\(807\) | −19744.9 | − | 12689.2i | −0.861279 | − | 0.553510i | ||||
\(808\) | 17563.0 | + | 3385.00i | 0.764684 | + | 0.147381i | ||||
\(809\) | −954.495 | − | 6638.66i | −0.0414811 | − | 0.288508i | −0.999994 | − | 0.00345847i | \(-0.998899\pi\) |
0.958513 | − | 0.285049i | \(-0.0920100\pi\) | |||||||
\(810\) | 88.2284 | + | 69.3836i | 0.00382720 | + | 0.00300974i | ||||
\(811\) | 4506.82 | − | 6328.94i | 0.195137 | − | 0.274031i | −0.705402 | − | 0.708808i | \(-0.749233\pi\) |
0.900538 | + | 0.434777i | \(0.143173\pi\) | |||||||
\(812\) | −5924.46 | − | 1739.58i | −0.256044 | − | 0.0751814i | ||||
\(813\) | 847.169 | + | 1855.04i | 0.0365455 | + | 0.0800236i | ||||
\(814\) | 786.280 | + | 16506.1i | 0.0338564 | + | 0.710733i | ||||
\(815\) | −467.278 | + | 367.471i | −0.0200835 | + | 0.0157938i | ||||
\(816\) | −520.263 | − | 496.069i | −0.0223196 | − | 0.0212817i | ||||
\(817\) | −399.267 | + | 1645.80i | −0.0170974 | + | 0.0704765i | ||||
\(818\) | 10892.0 | − | 12570.1i | 0.465563 | − | 0.537288i | ||||
\(819\) | 2220.74 | − | 4862.75i | 0.0947486 | − | 0.207470i | ||||
\(820\) | 1643.76 | + | 658.062i | 0.0700032 | + | 0.0280250i | ||||
\(821\) | 31146.6 | − | 6003.01i | 1.32402 | − | 0.255184i | 0.522239 | − | 0.852799i | \(-0.325097\pi\) |
0.801784 | + | 0.597615i | \(0.203885\pi\) | |||||||
\(822\) | 9214.88 | + | 26624.6i | 0.391005 | + | 1.12973i | ||||
\(823\) | −16341.9 | − | 22949.0i | −0.692154 | − | 0.971994i | −0.999790 | − | 0.0204903i | \(-0.993477\pi\) |
0.307636 | − | 0.951504i | \(-0.400462\pi\) | |||||||
\(824\) | −705.297 | + | 14806.0i | −0.0298182 | + | 0.625961i | ||||
\(825\) | 3600.71 | − | 1441.51i | 0.151952 | − | 0.0608325i | ||||
\(826\) | −21201.2 | + | 13625.2i | −0.893080 | + | 0.573948i | ||||
\(827\) | −21454.7 | + | 11060.7i | −0.902120 | + | 0.465075i | −0.845899 | − | 0.533343i | \(-0.820935\pi\) |
−0.0562210 | + | 0.998418i | \(0.517905\pi\) | |||||||
\(828\) | −3686.07 | − | 4253.95i | −0.154710 | − | 0.178545i | ||||
\(829\) | −37792.3 | + | 11096.8i | −1.58333 | + | 0.464907i | −0.950845 | − | 0.309666i | \(-0.899783\pi\) |
−0.632484 | + | 0.774573i | \(0.717965\pi\) | |||||||
\(830\) | −54.2132 | + | 156.639i | −0.00226719 | + | 0.00655061i | ||||
\(831\) | 1321.18 | − | 9189.04i | 0.0551521 | − | 0.383591i | ||||
\(832\) | −49553.3 | + | 47249.0i | −2.06485 | + | 1.96883i | ||||
\(833\) | −15655.6 | − | 27116.2i | −0.651180 | − | 1.12788i | ||||
\(834\) | 9738.20 | − | 16867.1i | 0.404324 | − | 0.700310i | ||||
\(835\) | −136.319 | − | 561.915i | −0.00564972 | − | 0.0232885i | ||||
\(836\) | 16657.1 | + | 8587.35i | 0.689114 | + | 0.355263i | ||||
\(837\) | 5368.59 | − | 512.638i | 0.221703 | − | 0.0211701i | ||||
\(838\) | −28717.2 | + | 2742.16i | −1.18380 | + | 0.113039i | ||||
\(839\) | 93.6628 | + | 48.2865i | 0.00385411 | + | 0.00198693i | 0.460153 | − | 0.887840i | \(-0.347795\pi\) |
−0.456298 | + | 0.889827i | \(0.650825\pi\) | |||||||
\(840\) | −35.5532 | − | 146.552i | −0.00146036 | − | 0.00601968i | ||||
\(841\) | 10015.6 | − | 17347.6i | 0.410662 | − | 0.711288i | ||||
\(842\) | −10405.6 | − | 18023.1i | −0.425893 | − | 0.737668i | ||||
\(843\) | −7840.90 | + | 7476.28i | −0.320350 | + | 0.305453i | ||||
\(844\) | −7552.62 | + | 52529.6i | −0.308023 | + | 2.14235i | ||||
\(845\) | 463.088 | − | 1338.00i | 0.0188529 | − | 0.0544719i | ||||
\(846\) | −2871.97 | + | 843.286i | −0.116714 | + | 0.0342704i | ||||
\(847\) | 5736.48 | + | 6620.25i | 0.232713 | + | 0.268565i | ||||
\(848\) | 959.222 | − | 494.513i | 0.0388441 | − | 0.0200255i | ||||
\(849\) | −10548.2 | + | 6778.94i | −0.426401 | + | 0.274031i | ||||
\(850\) | 57119.5 | − | 22867.2i | 2.30492 | − | 0.922752i | ||||
\(851\) | −792.073 | + | 16627.7i | −0.0319059 | + | 0.669787i | ||||
\(852\) | −1287.42 | − | 1807.93i | −0.0517680 | − | 0.0726979i | ||||
\(853\) | 263.681 | + | 761.855i | 0.0105841 | + | 0.0305808i | 0.950169 | − | 0.311735i | \(-0.100910\pi\) |
−0.939585 | + | 0.342316i | \(0.888789\pi\) | |||||||
\(854\) | −1865.00 | + | 359.449i | −0.0747294 | + | 0.0144029i | ||||
\(855\) | −349.485 | − | 139.913i | −0.0139791 | − | 0.00559639i | ||||
\(856\) | 4639.96 | − | 10160.1i | 0.185269 | − | 0.405683i | ||||
\(857\) | −15518.7 | + | 17909.6i | −0.618565 | + | 0.713862i | −0.975434 | − | 0.220293i | \(-0.929299\pi\) |
0.356869 | + | 0.934154i | \(0.383844\pi\) | |||||||
\(858\) | −2788.50 | + | 11494.3i | −0.110953 | + | 0.457355i | ||||
\(859\) | 20567.1 | + | 19610.7i | 0.816928 | + | 0.778939i | 0.978133 | − | 0.207982i | \(-0.0666896\pi\) |
−0.161205 | + | 0.986921i | \(0.551538\pi\) | |||||||
\(860\) | −37.9064 | + | 29.8099i | −0.00150302 | + | 0.00118199i | ||||
\(861\) | −458.530 | − | 9625.73i | −0.0181494 | − | 0.381004i | ||||
\(862\) | 17932.2 | + | 39266.0i | 0.708552 | + | 1.55151i | ||||
\(863\) | 7496.75 | + | 2201.24i | 0.295704 | + | 0.0868264i | 0.426219 | − | 0.904620i | \(-0.359845\pi\) |
−0.130516 | + | 0.991446i | \(0.541663\pi\) | |||||||
\(864\) | −2754.19 | + | 3867.72i | −0.108449 | + | 0.152295i | ||||
\(865\) | 890.378 | + | 700.201i | 0.0349985 | + | 0.0275232i | ||||
\(866\) | 3963.38 | + | 27565.9i | 0.155521 | + | 1.08167i | ||||
\(867\) | 19452.0 | + | 3749.07i | 0.761967 | + | 0.146857i | ||||
\(868\) | −15717.1 | − | 10100.7i | −0.614599 | − | 0.394979i | ||||
\(869\) | −8188.65 | − | 781.921i | −0.319656 | − | 0.0305234i | ||||
\(870\) | −274.424 | −0.0106941 | ||||||||
\(871\) | −21614.3 | − | 40052.0i | −0.840842 | − | 1.55810i | ||||
\(872\) | −13685.8 | −0.531491 | ||||||||
\(873\) | −8697.48 | − | 830.509i | −0.337188 | − | 0.0321976i | ||||
\(874\) | 25603.8 | + | 16454.6i | 0.990918 | + | 0.636824i | ||||
\(875\) | 530.249 | + | 102.197i | 0.0204865 | + | 0.00394845i | ||||
\(876\) | 1575.50 | + | 10957.8i | 0.0607661 | + | 0.422638i | ||||
\(877\) | 2749.05 | + | 2161.88i | 0.105848 | + | 0.0832399i | 0.669680 | − | 0.742649i | \(-0.266431\pi\) |
−0.563832 | + | 0.825889i | \(0.690674\pi\) | |||||||
\(878\) | −37330.6 | + | 52423.5i | −1.43491 | + | 2.01504i | ||||
\(879\) | −18379.9 | − | 5396.82i | −0.705276 | − | 0.207088i | ||||
\(880\) | 2.89840 | + | 6.34661i | 0.000111028 | + | 0.000243118i | ||||
\(881\) | −15.5305 | − | 326.026i | −0.000593913 | − | 0.0124678i | 0.998551 | − | 0.0538149i | \(-0.0171381\pi\) |
−0.999145 | + | 0.0413471i | \(0.986835\pi\) | |||||||
\(882\) | 9474.35 | − | 7450.71i | 0.361699 | − | 0.284443i | ||||
\(883\) | 1885.52 | + | 1797.84i | 0.0718606 | + | 0.0685190i | 0.725158 | − | 0.688582i | \(-0.241767\pi\) |
−0.653298 | + | 0.757101i | \(0.726615\pi\) | |||||||
\(884\) | −27438.2 | + | 113102.i | −1.04394 | + | 4.30320i | ||||
\(885\) | −454.974 | + | 525.068i | −0.0172811 | + | 0.0199435i | ||||
\(886\) | 5459.25 | − | 11954.1i | 0.207006 | − | 0.453279i | ||||
\(887\) | 23516.2 | + | 9414.46i | 0.890187 | + | 0.356377i | 0.771256 | − | 0.636525i | \(-0.219629\pi\) |
0.118931 | + | 0.992902i | \(0.462053\pi\) | |||||||
\(888\) | −23836.4 | + | 4594.08i | −0.900784 | + | 0.173612i | ||||
\(889\) | −1730.88 | − | 5001.04i | −0.0653000 | − | 0.188672i | ||||
\(890\) | 293.570 | + | 412.261i | 0.0110567 | + | 0.0155270i | ||||
\(891\) | −39.8915 | + | 837.426i | −0.00149991 | + | 0.0314869i | ||||
\(892\) | −13756.9 | + | 5507.42i | −0.516384 | + | 0.206729i | ||||
\(893\) | 8445.33 | − | 5427.49i | 0.316475 | − | 0.203386i | ||||
\(894\) | 1868.31 | − | 963.178i | 0.0698943 | − | 0.0360330i | ||||
\(895\) | 437.813 | + | 505.263i | 0.0163514 | + | 0.0188705i | ||||
\(896\) | 16345.7 | − | 4799.54i | 0.609456 | − | 0.178952i | ||||
\(897\) | −3896.98 | + | 11259.6i | −0.145057 | + | 0.419115i | ||||
\(898\) | −4558.80 | + | 31707.1i | −0.169409 | + | 1.17826i | ||||
\(899\) | −9542.80 | + | 9099.04i | −0.354027 | + | 0.337564i | ||||
\(900\) | 7345.52 | + | 12722.8i | 0.272056 | + | 0.471215i | ||||
\(901\) | −25933.4 | + | 44918.0i | −0.958898 | + | 1.66086i | ||||
\(902\) | 5026.67 | + | 20720.2i | 0.185554 | + | 0.764864i | ||||
\(903\) | 233.287 | + | 120.268i | 0.00859722 | + | 0.00443218i | ||||
\(904\) | −55614.4 | + | 5310.53i | −2.04614 | + | 0.195382i | ||||
\(905\) | 489.962 | − | 46.7857i | 0.0179966 | − | 0.00171846i | ||||
\(906\) | 38255.5 | + | 19722.1i | 1.40282 | + | 0.723204i | ||||
\(907\) | 3895.39 | + | 16057.0i | 0.142607 | + | 0.587832i | 0.997603 | + | 0.0691984i | \(0.0220441\pi\) |
−0.854996 | + | 0.518634i | \(0.826441\pi\) | |||||||
\(908\) | 18739.6 | − | 32457.9i | 0.684906 | − | 1.18629i | ||||
\(909\) | −3459.88 | − | 5992.69i | −0.126245 | − | 0.218663i | ||||
\(910\) | −595.695 | + | 567.994i | −0.0217001 | + | 0.0206910i | ||||
\(911\) | 773.589 | − | 5380.43i | 0.0281341 | − | 0.195677i | −0.970907 | − | 0.239456i | \(-0.923031\pi\) |
0.999041 | + | 0.0437795i | \(0.0139399\pi\) | |||||||
\(912\) | −303.552 | + | 877.056i | −0.0110215 | + | 0.0318445i | ||||
\(913\) | −1187.93 | + | 348.808i | −0.0430611 | + | 0.0126439i | ||||
\(914\) | −37780.7 | − | 43601.2i | −1.36726 | − | 1.57790i | ||||
\(915\) | −46.5397 | + | 23.9929i | −0.00168148 | + | 0.000866864i | ||||
\(916\) | −48834.1 | + | 31383.8i | −1.76149 | + | 1.13204i | ||||
\(917\) | 8503.38 | − | 3404.24i | 0.306223 | − | 0.122593i | ||||
\(918\) | −632.815 | + | 13284.4i | −0.0227517 | + | 0.477616i | ||||
\(919\) | −4392.61 | − | 6168.56i | −0.157670 | − | 0.221417i | 0.728183 | − | 0.685383i | \(-0.240365\pi\) |
−0.885853 | + | 0.463966i | \(0.846426\pi\) | |||||||
\(920\) | 109.931 | + | 317.626i | 0.00393949 | + | 0.0113824i | ||||
\(921\) | 25447.8 | − | 4904.67i | 0.910462 | − | 0.175477i | ||||
\(922\) | −1243.22 | − | 497.712i | −0.0444072 | − | 0.0177780i | ||||
\(923\) | −1951.67 | + | 4273.57i | −0.0695993 | + | 0.152401i | ||||
\(924\) | 1901.96 | − | 2194.98i | 0.0677163 | − | 0.0781488i | ||||
\(925\) | 10243.1 | − | 42222.4i | 0.364097 | − | 1.50083i | ||||
\(926\) | −52666.2 | − | 50217.2i | −1.86903 | − | 1.78211i | ||||
\(927\) | 4507.69 | − | 3544.89i | 0.159711 | − | 0.125598i | ||||
\(928\) | −552.372 | − | 11595.7i | −0.0195393 | − | 0.410181i | ||||
\(929\) | 6109.36 | + | 13377.6i | 0.215761 | + | 0.472450i | 0.986304 | − | 0.164938i | \(-0.0527423\pi\) |
−0.770543 | + | 0.637388i | \(0.780015\pi\) | |||||||
\(930\) | −796.712 | − | 233.936i | −0.0280916 | − | 0.00824845i | ||||
\(931\) | −23448.8 | + | 32929.2i | −0.825460 | + | 1.15920i | ||||
\(932\) | −38343.8 | − | 30153.9i | −1.34763 | − | 1.05979i | ||||
\(933\) | 3316.95 | + | 23069.9i | 0.116390 | + | 0.809511i | ||||
\(934\) | −61041.8 | − | 11764.9i | −2.13849 | − | 0.412160i | ||||
\(935\) | −282.095 | − | 181.291i | −0.00986683 | − | 0.00634103i | ||||
\(936\) | −17296.4 | − | 1651.61i | −0.604007 | − | 0.0576757i | ||||
\(937\) | −16981.4 | −0.592059 | −0.296029 | − | 0.955179i | \(-0.595663\pi\) | ||||
−0.296029 | + | 0.955179i | \(0.595663\pi\) | |||||||
\(938\) | 339.941 | + | 18014.0i | 0.0118331 | + | 0.627055i | ||||
\(939\) | 9851.05 | 0.342361 | ||||||||
\(940\) | 284.567 | + | 27.1729i | 0.00987399 | + | 0.000942852i | ||||
\(941\) | 16560.4 | + | 10642.7i | 0.573703 | + | 0.368696i | 0.795092 | − | 0.606489i | \(-0.207423\pi\) |
−0.221389 | + | 0.975186i | \(0.571059\pi\) | |||||||
\(942\) | 2226.96 | + | 429.211i | 0.0770257 | + | 0.0148455i | ||||
\(943\) | 3056.68 | + | 21259.7i | 0.105556 | + | 0.734157i | ||||
\(944\) | 1346.41 | + | 1058.82i | 0.0464214 | + | 0.0365062i | ||||
\(945\) | −33.8417 | + | 47.5240i | −0.00116494 | + | 0.00163593i | ||||
\(946\) | −557.181 | − | 163.603i | −0.0191496 | − | 0.00562283i | ||||
\(947\) | 18668.9 | + | 40879.1i | 0.640608 | + | 1.40274i | 0.899539 | + | 0.436841i | \(0.143903\pi\) |
−0.258930 | + | 0.965896i | \(0.583370\pi\) | |||||||
\(948\) | −1482.55 | − | 31122.6i | −0.0507922 | − | 1.06626i | ||||
\(949\) | 18420.2 | − | 14485.8i | 0.630079 | − | 0.495500i | ||||
\(950\) | −57490.4 | − | 54816.9i | −1.96340 | − | 1.87210i | ||||
\(951\) | −4882.90 | + | 20127.6i | −0.166497 | + | 0.686311i | ||||
\(952\) | 11701.4 | − | 13504.1i | 0.398366 | − | 0.459739i | ||||
\(953\) | 6161.72 | − | 13492.3i | 0.209442 | − | 0.458613i | −0.775534 | − | 0.631306i | \(-0.782519\pi\) |
0.984976 | + | 0.172692i | \(0.0552467\pi\) | |||||||
\(954\) | −18535.7 | − | 7420.58i | −0.629052 | − | 0.251834i | ||||
\(955\) | −828.295 | + | 159.641i | −0.0280660 | + | 0.00540927i | ||||
\(956\) | 2397.53 | + | 6927.22i | 0.0811107 | + | 0.234354i | ||||
\(957\) | −1188.98 | − | 1669.69i | −0.0401613 | − | 0.0563986i | ||||
\(958\) | 485.490 | − | 10191.7i | 0.0163731 | − | 0.343715i | ||||
\(959\) | −13595.6 | + | 5442.84i | −0.457793 | + | 0.183273i | ||||
\(960\) | 628.617 | − | 403.987i | 0.0211339 | − | 0.0135819i | ||||
\(961\) | −8982.09 | + | 4630.59i | −0.301503 | + | 0.155436i | ||||
\(962\) | 86764.9 | + | 100132.i | 2.90791 | + | 3.35591i | ||||
\(963\) | −4146.16 | + | 1217.42i | −0.138741 | + | 0.0407382i | ||||
\(964\) | −13405.0 | + | 38731.1i | −0.447869 | + | 1.29403i | ||||
\(965\) | 42.9357 | − | 298.624i | 0.00143228 | − | 0.00996171i | ||||
\(966\) | 3413.74 | − | 3254.99i | 0.113701 | − | 0.108414i | ||||
\(967\) | 26029.1 | + | 45083.8i | 0.865605 | + | 1.49927i | 0.866445 | + | 0.499273i | \(0.166399\pi\) |
−0.000839554 | 1.00000i | \(0.500267\pi\) | ||||||||
\(968\) | 14235.6 | − | 24656.8i | 0.472676 | − | 0.818699i | ||||
\(969\) | −10516.1 | − | 43348.0i | −0.348634 | − | 1.43709i | ||||
\(970\) | 1195.68 | + | 616.416i | 0.0395783 | + | 0.0204040i | ||||
\(971\) | −9521.88 | + | 909.230i | −0.314698 | + | 0.0300500i | −0.251210 | − | 0.967933i | \(-0.580828\pi\) |
−0.0634879 | + | 0.997983i | \(0.520222\pi\) | |||||||
\(972\) | −3161.20 | + | 301.858i | −0.104316 | + | 0.00996101i | ||||
\(973\) | 8998.19 | + | 4638.89i | 0.296474 | + | 0.152843i | ||||
\(974\) | 790.817 | + | 3259.79i | 0.0260158 | + | 0.107239i | ||||
\(975\) | 15548.8 | − | 26931.4i | 0.510729 | − | 0.884609i | ||||
\(976\) | 64.5445 | + | 111.794i | 0.00211682 | + | 0.00366644i | ||||
\(977\) | 6372.78 | − | 6076.43i | 0.208683 | − | 0.198979i | −0.578528 | − | 0.815662i | \(-0.696373\pi\) |
0.787211 | + | 0.616684i | \(0.211524\pi\) | |||||||
\(978\) | 3858.79 | − | 26838.5i | 0.126166 | − | 0.877506i | ||||
\(979\) | −1236.41 | + | 3572.36i | −0.0403633 | + | 0.116622i | ||||
\(980\) | −1104.48 | + | 324.304i | −0.0360013 | + | 0.0105709i | ||||
\(981\) | 3467.30 | + | 4001.47i | 0.112846 | + | 0.130232i | ||||
\(982\) | 51518.4 | − | 26559.6i | 1.67415 | − | 0.863086i | ||||
\(983\) | 16491.8 | − | 10598.6i | 0.535104 | − | 0.343891i | −0.245017 | − | 0.969519i | \(-0.578794\pi\) |
0.780121 | + | 0.625628i | \(0.215157\pi\) | |||||||
\(984\) | −29077.5 | + | 11640.9i | −0.942028 | + | 0.377131i | ||||
\(985\) | 45.6816 | − | 958.975i | 0.00147770 | − | 0.0310208i | ||||
\(986\) | −18861.3 | − | 26487.0i | −0.609195 | − | 0.855494i | ||||
\(987\) | −508.863 | − | 1470.26i | −0.0164106 | − | 0.0474154i | ||||
\(988\) | 147543. | − | 28436.6i | 4.75098 | − | 0.915677i | ||||
\(989\) | −543.078 | − | 217.416i | −0.0174609 | − | 0.00699031i | ||||
\(990\) | 53.6228 | − | 117.418i | 0.00172146 | − | 0.00376947i | ||||
\(991\) | 17874.4 | − | 20628.2i | 0.572956 | − | 0.661227i | −0.393119 | − | 0.919488i | \(-0.628604\pi\) |
0.966075 | + | 0.258261i | \(0.0831494\pi\) | |||||||
\(992\) | 8281.24 | − | 34135.7i | 0.265050 | − | 1.09255i | ||||
\(993\) | 7843.87 | + | 7479.12i | 0.250672 | + | 0.239016i | ||||
\(994\) | 1461.97 | − | 1149.71i | 0.0466508 | − | 0.0366866i | ||||
\(995\) | −27.5047 | − | 577.395i | −0.000876340 | − | 0.0183966i | ||||
\(996\) | −1948.12 | − | 4265.79i | −0.0619765 | − | 0.135710i | ||||
\(997\) | −28481.7 | − | 8362.98i | −0.904738 | − | 0.265655i | −0.203914 | − | 0.978989i | \(-0.565366\pi\) |
−0.700825 | + | 0.713334i | \(0.747184\pi\) | |||||||
\(998\) | −52879.3 | + | 74258.5i | −1.67722 | + | 2.35532i | ||||
\(999\) | 7382.16 | + | 5805.40i | 0.233795 | + | 0.183858i |
(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 | 201.4.m.a.4.2 | ✓ | 320 | |
67.17 | even | 33 | inner | 201.4.m.a.151.2 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.m.a.4.2 | ✓ | 320 | 1.1 | even | 1 | trivial | |
201.4.m.a.151.2 | yes | 320 | 67.17 | even | 33 | inner |