Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1200,4,Mod(1,1200)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1200, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0, 0]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1200.1");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1200 = 2^{4} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1200.a (trivial) |
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: | yes |
Analytic conductor: | \(70.8022920069\) |
Analytic rank: | \(1\) |
Dimension: | \(1\) |
Coefficient field: | \(\mathbb{Q}\) |
Coefficient ring: | \(\mathbb{Z}\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 6) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Character | \(\chi\) | \(=\) | 1200.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −3.00000 | −0.577350 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −16.0000 | −0.863919 | −0.431959 | − | 0.901893i | \(-0.642178\pi\) | ||||
−0.431959 | + | 0.901893i | \(0.642178\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 9.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −12.0000 | −0.328921 | −0.164461 | − | 0.986384i | \(-0.552588\pi\) | ||||
−0.164461 | + | 0.986384i | \(0.552588\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −38.0000 | −0.810716 | −0.405358 | − | 0.914158i | \(-0.632853\pi\) | ||||
−0.405358 | + | 0.914158i | \(0.632853\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 126.000 | 1.79762 | 0.898808 | − | 0.438342i | \(-0.144434\pi\) | ||||
0.898808 | + | 0.438342i | \(0.144434\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −20.0000 | −0.241490 | −0.120745 | − | 0.992684i | \(-0.538528\pi\) | ||||
−0.120745 | + | 0.992684i | \(0.538528\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 48.0000 | 0.498784 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 168.000 | 1.52306 | 0.761531 | − | 0.648129i | \(-0.224448\pi\) | ||||
0.761531 | + | 0.648129i | \(0.224448\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −27.0000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 30.0000 | 0.192099 | 0.0960493 | − | 0.995377i | \(-0.469379\pi\) | ||||
0.0960493 | + | 0.995377i | \(0.469379\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 88.0000 | 0.509847 | 0.254924 | − | 0.966961i | \(-0.417950\pi\) | ||||
0.254924 | + | 0.966961i | \(0.417950\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 36.0000 | 0.189903 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −254.000 | −1.12858 | −0.564288 | − | 0.825578i | \(-0.690849\pi\) | ||||
−0.564288 | + | 0.825578i | \(0.690849\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 114.000 | 0.468067 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 42.0000 | 0.159983 | 0.0799914 | − | 0.996796i | \(-0.474511\pi\) | ||||
0.0799914 | + | 0.996796i | \(0.474511\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −52.0000 | −0.184417 | −0.0922084 | − | 0.995740i | \(-0.529393\pi\) | ||||
−0.0922084 | + | 0.995740i | \(0.529393\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −96.0000 | −0.297937 | −0.148969 | − | 0.988842i | \(-0.547595\pi\) | ||||
−0.148969 | + | 0.988842i | \(0.547595\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −87.0000 | −0.253644 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −378.000 | −1.03785 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −198.000 | −0.513158 | −0.256579 | − | 0.966523i | \(-0.582595\pi\) | ||||
−0.256579 | + | 0.966523i | \(0.582595\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 60.0000 | 0.139424 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 660.000 | 1.45635 | 0.728175 | − | 0.685391i | \(-0.240369\pi\) | ||||
0.728175 | + | 0.685391i | \(0.240369\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −538.000 | −1.12924 | −0.564622 | − | 0.825350i | \(-0.690978\pi\) | ||||
−0.564622 | + | 0.825350i | \(0.690978\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −144.000 | −0.287973 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 884.000 | 1.61191 | 0.805954 | − | 0.591979i | \(-0.201653\pi\) | ||||
0.805954 | + | 0.591979i | \(0.201653\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −504.000 | −0.879340 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −792.000 | −1.32385 | −0.661923 | − | 0.749572i | \(-0.730260\pi\) | ||||
−0.661923 | + | 0.749572i | \(0.730260\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −218.000 | −0.349520 | −0.174760 | − | 0.984611i | \(-0.555915\pi\) | ||||
−0.174760 | + | 0.984611i | \(0.555915\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 192.000 | 0.284161 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 520.000 | 0.740564 | 0.370282 | − | 0.928919i | \(-0.379261\pi\) | ||||
0.370282 | + | 0.928919i | \(0.379261\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 81.0000 | 0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −492.000 | −0.650651 | −0.325325 | − | 0.945602i | \(-0.605474\pi\) | ||||
−0.325325 | + | 0.945602i | \(0.605474\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −90.0000 | −0.110908 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 810.000 | 0.964717 | 0.482359 | − | 0.875974i | \(-0.339780\pi\) | ||||
0.482359 | + | 0.875974i | \(0.339780\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 608.000 | 0.700393 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −264.000 | −0.294360 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1154.00 | −1.20795 | −0.603974 | − | 0.797004i | \(-0.706417\pi\) | ||||
−0.603974 | + | 0.797004i | \(0.706417\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −108.000 | −0.109640 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −618.000 | −0.608845 | −0.304422 | − | 0.952537i | \(-0.598463\pi\) | ||||
−0.304422 | + | 0.952537i | \(0.598463\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 128.000 | 0.122449 | 0.0612243 | − | 0.998124i | \(-0.480499\pi\) | ||||
0.0612243 | + | 0.998124i | \(0.480499\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1476.00 | −1.33355 | −0.666777 | − | 0.745257i | \(-0.732327\pi\) | ||||
−0.666777 | + | 0.745257i | \(0.732327\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1190.00 | 1.04570 | 0.522850 | − | 0.852425i | \(-0.324869\pi\) | ||||
0.522850 | + | 0.852425i | \(0.324869\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 762.000 | 0.651584 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 462.000 | 0.384613 | 0.192307 | − | 0.981335i | \(-0.438403\pi\) | ||||
0.192307 | + | 0.981335i | \(0.438403\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −342.000 | −0.270239 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2016.00 | −1.55300 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1187.00 | −0.891811 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −126.000 | −0.0923662 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2536.00 | −1.77192 | −0.885959 | − | 0.463763i | \(-0.846499\pi\) | ||||
−0.885959 | + | 0.463763i | \(0.846499\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 156.000 | 0.106473 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2292.00 | −1.52865 | −0.764324 | − | 0.644832i | \(-0.776927\pi\) | ||||
−0.764324 | + | 0.644832i | \(0.776927\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 320.000 | 0.208628 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 726.000 | 0.452747 | 0.226374 | − | 0.974041i | \(-0.427313\pi\) | ||||
0.226374 | + | 0.974041i | \(0.427313\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −380.000 | −0.231879 | −0.115939 | − | 0.993256i | \(-0.536988\pi\) | ||||
−0.115939 | + | 0.993256i | \(0.536988\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 288.000 | 0.172014 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 456.000 | 0.266662 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 261.000 | 0.146442 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1590.00 | 0.874214 | 0.437107 | − | 0.899410i | \(-0.356003\pi\) | ||||
0.437107 | + | 0.899410i | \(0.356003\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2432.00 | −1.31068 | −0.655342 | − | 0.755332i | \(-0.727476\pi\) | ||||
−0.655342 | + | 0.755332i | \(0.727476\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1134.00 | 0.599206 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −614.000 | −0.312118 | −0.156059 | − | 0.987748i | \(-0.549879\pi\) | ||||
−0.156059 | + | 0.987748i | \(0.549879\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 594.000 | 0.296272 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2688.00 | −1.31580 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1852.00 | −0.889938 | −0.444969 | − | 0.895546i | \(-0.646785\pi\) | ||||
−0.444969 | + | 0.895546i | \(0.646785\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2136.00 | −0.989752 | −0.494876 | − | 0.868964i | \(-0.664787\pi\) | ||||
−0.494876 | + | 0.868964i | \(0.664787\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −753.000 | −0.342740 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −180.000 | −0.0804967 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1758.00 | −0.772591 | −0.386296 | − | 0.922375i | \(-0.626246\pi\) | ||||
−0.386296 | + | 0.922375i | \(0.626246\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1980.00 | −0.840824 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 540.000 | 0.225483 | 0.112742 | − | 0.993624i | \(-0.464037\pi\) | ||||
0.112742 | + | 0.993624i | \(0.464037\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1982.00 | 0.813928 | 0.406964 | − | 0.913444i | \(-0.366588\pi\) | ||||
0.406964 | + | 0.913444i | \(0.366588\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1614.00 | 0.651969 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1512.00 | −0.591275 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 432.000 | 0.166261 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2688.00 | 1.01831 | 0.509154 | − | 0.860675i | \(-0.329958\pi\) | ||||
0.509154 | + | 0.860675i | \(0.329958\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2302.00 | 0.858557 | 0.429279 | − | 0.903172i | \(-0.358768\pi\) | ||||
0.429279 | + | 0.903172i | \(0.358768\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −4374.00 | −1.58190 | −0.790951 | − | 0.611880i | \(-0.790414\pi\) | ||||
−0.790951 | + | 0.611880i | \(0.790414\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1600.00 | 0.569955 | 0.284977 | − | 0.958534i | \(-0.408014\pi\) | ||||
0.284977 | + | 0.958534i | \(0.408014\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2652.00 | −0.930635 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −480.000 | −0.165958 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1512.00 | 0.507687 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 240.000 | 0.0794313 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3332.00 | −1.08713 | −0.543565 | − | 0.839367i | \(-0.682926\pi\) | ||||
−0.543565 | + | 0.839367i | \(0.682926\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2376.00 | 0.764323 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1408.00 | −0.440467 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 654.000 | 0.201796 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4788.00 | −1.45736 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2648.00 | 0.795171 | 0.397586 | − | 0.917565i | \(-0.369848\pi\) | ||||
0.397586 | + | 0.917565i | \(0.369848\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2244.00 | 0.656121 | 0.328061 | − | 0.944657i | \(-0.393605\pi\) | ||||
0.328061 | + | 0.944657i | \(0.393605\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5650.00 | −1.63040 | −0.815202 | − | 0.579177i | \(-0.803374\pi\) | ||||
−0.815202 | + | 0.579177i | \(0.803374\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −576.000 | −0.164061 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −4698.00 | −1.32093 | −0.660464 | − | 0.750858i | \(-0.729640\pi\) | ||||
−0.660464 | + | 0.750858i | \(0.729640\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1560.00 | −0.427565 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1200.00 | 0.324776 | 0.162388 | − | 0.986727i | \(-0.448080\pi\) | ||||
0.162388 | + | 0.986727i | \(0.448080\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −718.000 | −0.191911 | −0.0959553 | − | 0.995386i | \(-0.530591\pi\) | ||||
−0.0959553 | + | 0.995386i | \(0.530591\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −243.000 | −0.0641500 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 760.000 | 0.195780 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1476.00 | 0.375653 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −6012.00 | −1.51185 | −0.755924 | − | 0.654659i | \(-0.772812\pi\) | ||||
−0.755924 | + | 0.654659i | \(0.772812\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2016.00 | −0.500968 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 2046.00 | 0.496599 | 0.248300 | − | 0.968683i | \(-0.420128\pi\) | ||||
0.248300 | + | 0.968683i | \(0.420128\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4064.00 | 0.974999 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 270.000 | 0.0640329 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −6072.00 | −1.42363 | −0.711817 | − | 0.702365i | \(-0.752127\pi\) | ||||
−0.711817 | + | 0.702365i | \(0.752127\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2430.00 | −0.556980 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −6930.00 | −1.57074 | −0.785371 | − | 0.619025i | \(-0.787528\pi\) | ||||
−0.785371 | + | 0.619025i | \(0.787528\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1352.00 | −0.303056 | −0.151528 | − | 0.988453i | \(-0.548419\pi\) | ||||
−0.151528 | + | 0.988453i | \(0.548419\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1824.00 | −0.404372 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1186.00 | 0.257256 | 0.128628 | − | 0.991693i | \(-0.458943\pi\) | ||||
0.128628 | + | 0.991693i | \(0.458943\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 792.000 | 0.169949 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2442.00 | 0.518425 | 0.259213 | − | 0.965820i | \(-0.416537\pi\) | ||||
0.259213 | + | 0.965820i | \(0.416537\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2828.00 | 0.594018 | 0.297009 | − | 0.954875i | \(-0.404011\pi\) | ||||
0.297009 | + | 0.954875i | \(0.404011\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −672.000 | −0.138212 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 10963.0 | 2.23143 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3462.00 | 0.697409 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −4758.00 | −0.948687 | −0.474344 | − | 0.880340i | \(-0.657315\pi\) | ||||
−0.474344 | + | 0.880340i | \(0.657315\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 324.000 | 0.0633010 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −6384.00 | −1.23477 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 832.000 | 0.159321 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 1854.00 | 0.351517 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8476.00 | −1.57574 | −0.787868 | − | 0.615844i | \(-0.788815\pi\) | ||||
−0.787868 | + | 0.615844i | \(0.788815\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −384.000 | −0.0706958 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −4632.00 | −0.844555 | −0.422278 | − | 0.906467i | \(-0.638769\pi\) | ||||
−0.422278 | + | 0.906467i | \(0.638769\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4822.00 | 0.870785 | 0.435392 | − | 0.900241i | \(-0.356610\pi\) | ||||
0.435392 | + | 0.900241i | \(0.356610\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3426.00 | 0.607014 | 0.303507 | − | 0.952829i | \(-0.401842\pi\) | ||||
0.303507 | + | 0.952829i | \(0.401842\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −360.000 | −0.0631854 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4428.00 | 0.769928 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2520.00 | −0.434107 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −3570.00 | −0.603735 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1536.00 | 0.257393 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2788.00 | 0.462968 | 0.231484 | − | 0.972839i | \(-0.425642\pi\) | ||||
0.231484 | + | 0.972839i | \(0.425642\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2286.00 | −0.376192 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −434.000 | −0.0701528 | −0.0350764 | − | 0.999385i | \(-0.511167\pi\) | ||||
−0.0350764 | + | 0.999385i | \(0.511167\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1386.00 | −0.222057 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1056.00 | −0.167700 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6880.00 | 1.08305 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 6684.00 | 1.03405 | 0.517026 | − | 0.855970i | \(-0.327039\pi\) | ||||
0.517026 | + | 0.855970i | \(0.327039\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2630.00 | 0.403383 | 0.201692 | − | 0.979449i | \(-0.435356\pi\) | ||||
0.201692 | + | 0.979449i | \(0.435356\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1026.00 | 0.156022 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7422.00 | 1.11907 | 0.559537 | − | 0.828805i | \(-0.310979\pi\) | ||||
0.559537 | + | 0.828805i | \(0.310979\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 6048.00 | 0.896622 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 10440.0 | 1.53482 | 0.767412 | − | 0.641154i | \(-0.221544\pi\) | ||||
0.767412 | + | 0.641154i | \(0.221544\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6459.00 | −0.941682 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3561.00 | 0.514887 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10424.0 | 1.48264 | 0.741319 | − | 0.671153i | \(-0.234200\pi\) | ||||
0.741319 | + | 0.671153i | \(0.234200\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 378.000 | 0.0533276 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3168.00 | 0.443327 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3278.00 | −0.455036 | −0.227518 | − | 0.973774i | \(-0.573061\pi\) | ||||
−0.227518 | + | 0.973774i | \(0.573061\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −1140.00 | −0.155737 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6140.00 | −0.832165 | −0.416083 | − | 0.909327i | \(-0.636597\pi\) | ||||
−0.416083 | + | 0.909327i | \(0.636597\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7608.00 | 1.02302 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −3072.00 | −0.409848 | −0.204924 | − | 0.978778i | \(-0.565695\pi\) | ||||
−0.204924 | + | 0.978778i | \(0.565695\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −468.000 | −0.0614723 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 6150.00 | 0.801587 | 0.400794 | − | 0.916168i | \(-0.368734\pi\) | ||||
0.400794 | + | 0.916168i | \(0.368734\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 21168.0 | 2.73788 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 6876.00 | 0.882566 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 106.000 | 0.0134005 | 0.00670024 | − | 0.999978i | \(-0.497867\pi\) | ||||
0.00670024 | + | 0.999978i | \(0.497867\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −960.000 | −0.120451 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −1758.00 | −0.218929 | −0.109464 | − | 0.993991i | \(-0.534914\pi\) | ||||
−0.109464 | + | 0.993991i | \(0.534914\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3344.00 | −0.413341 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3048.00 | 0.371213 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3670.00 | −0.443691 | −0.221846 | − | 0.975082i | \(-0.571208\pi\) | ||||
−0.221846 | + | 0.975082i | \(0.571208\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2178.00 | −0.261394 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −10560.0 | −1.25817 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1140.00 | 0.133875 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 9660.00 | 1.12631 | 0.563153 | − | 0.826353i | \(-0.309588\pi\) | ||||
0.563153 | + | 0.826353i | \(0.309588\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8462.00 | 0.979602 | 0.489801 | − | 0.871834i | \(-0.337069\pi\) | ||||
0.489801 | + | 0.871834i | \(0.337069\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −864.000 | −0.0993123 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8608.00 | 0.975575 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1368.00 | −0.153957 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −9792.00 | −1.09435 | −0.547174 | − | 0.837019i | \(-0.684296\pi\) | ||||
−0.547174 | + | 0.837019i | \(0.684296\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7342.00 | 0.814859 | 0.407430 | − | 0.913237i | \(-0.366425\pi\) | ||||
0.407430 | + | 0.913237i | \(0.366425\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3360.00 | −0.367805 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10640.0 | −1.15676 | −0.578382 | − | 0.815766i | \(-0.696316\pi\) | ||||
−0.578382 | + | 0.815766i | \(0.696316\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −783.000 | −0.0845481 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −17412.0 | −1.86742 | −0.933712 | − | 0.358024i | \(-0.883451\pi\) | ||||
−0.933712 | + | 0.358024i | \(0.883451\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −4770.00 | −0.504728 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1710.00 | −0.179732 | −0.0898662 | − | 0.995954i | \(-0.528644\pi\) | ||||
−0.0898662 | + | 0.995954i | \(0.528644\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −504.000 | −0.0526218 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 7296.00 | 0.756724 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 646.000 | 0.0661239 | 0.0330619 | − | 0.999453i | \(-0.489474\pi\) | ||||
0.0330619 | + | 0.999453i | \(0.489474\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3402.00 | −0.345952 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −6018.00 | −0.607996 | −0.303998 | − | 0.952673i | \(-0.598322\pi\) | ||||
−0.303998 | + | 0.952673i | \(0.598322\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6712.00 | −0.673722 | −0.336861 | − | 0.941554i | \(-0.609365\pi\) | ||||
−0.336861 | + | 0.941554i | \(0.609365\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 5364.00 | 0.531512 | 0.265756 | − | 0.964040i | \(-0.414378\pi\) | ||||
0.265756 | + | 0.964040i | \(0.414378\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −14144.0 | −1.39256 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1842.00 | 0.180201 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 624.000 | 0.0606587 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1782.00 | −0.171053 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −9840.00 | −0.938624 | −0.469312 | − | 0.883032i | \(-0.655498\pi\) | ||||
−0.469312 | + | 0.883032i | \(0.655498\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9652.00 | 0.914955 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 8064.00 | 0.759678 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1424.00 | 0.132500 | 0.0662501 | − | 0.997803i | \(-0.478896\pi\) | ||||
0.0662501 | + | 0.997803i | \(0.478896\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 5556.00 | 0.513806 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4548.00 | 0.418021 | 0.209011 | − | 0.977913i | \(-0.432976\pi\) | ||||
0.209011 | + | 0.977913i | \(0.432976\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3780.00 | 0.345320 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 12672.0 | 1.14370 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6500.00 | −0.583126 | −0.291563 | − | 0.956552i | \(-0.594175\pi\) | ||||
−0.291563 | + | 0.956552i | \(0.594175\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 6408.00 | 0.571434 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 12168.0 | 1.07862 | 0.539308 | − | 0.842108i | \(-0.318686\pi\) | ||||
0.539308 | + | 0.842108i | \(0.318686\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2259.00 | 0.197881 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −21090.0 | −1.83654 | −0.918269 | − | 0.395957i | \(-0.870413\pi\) | ||||
−0.918269 | + | 0.395957i | \(0.870413\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3488.00 | 0.301957 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 540.000 | 0.0464748 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1152.00 | 0.0979979 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5274.00 | 0.446056 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5238.00 | −0.440462 | −0.220231 | − | 0.975448i | \(-0.570681\pi\) | ||||
−0.220231 | + | 0.975448i | \(0.570681\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8588.00 | 0.718025 | 0.359012 | − | 0.933333i | \(-0.383114\pi\) | ||||
0.359012 | + | 0.933333i | \(0.383114\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 11088.0 | 0.916510 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 16057.0 | 1.31972 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 5940.00 | 0.485450 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1596.00 | −0.129701 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1620.00 | −0.130183 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 1044.00 | 0.0834291 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3062.00 | 0.243338 | 0.121669 | − | 0.992571i | \(-0.461175\pi\) | ||||
0.121669 | + | 0.992571i | \(0.461175\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −5946.00 | −0.469921 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8476.00 | −0.662537 | −0.331268 | − | 0.943537i | \(-0.607477\pi\) | ||||
−0.331268 | + | 0.943537i | \(0.607477\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −4842.00 | −0.376414 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −600.000 | −0.0463899 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8320.00 | −0.639787 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 12546.0 | 0.954383 | 0.477191 | − | 0.878799i | \(-0.341655\pi\) | ||||
0.477191 | + | 0.878799i | \(0.341655\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1976.00 | 0.149510 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4536.00 | 0.341373 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −12.0000 | −0.000898294 0 | −0.000449147 | − | 1.00000i | \(-0.500143\pi\) | ||||
−0.000449147 | 1.00000i | \(0.500143\pi\) | ||||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1296.00 | −0.0959910 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 19290.0 | 1.42123 | 0.710614 | − | 0.703582i | \(-0.248417\pi\) | ||||
0.710614 | + | 0.703582i | \(0.248417\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12148.0 | 0.890329 | 0.445165 | − | 0.895449i | \(-0.353145\pi\) | ||||
0.445165 | + | 0.895449i | \(0.353145\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −8064.00 | −0.587920 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10366.0 | 0.747907 | 0.373953 | − | 0.927447i | \(-0.378002\pi\) | ||||
0.373953 | + | 0.927447i | \(0.378002\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −6906.00 | −0.495688 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7872.00 | 0.562109 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2376.00 | 0.168789 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 7644.00 | 0.537482 | 0.268741 | − | 0.963213i | \(-0.413393\pi\) | ||||
0.268741 | + | 0.963213i | \(0.413393\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1760.00 | −0.123123 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 13122.0 | 0.913311 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −8658.00 | −0.599564 | −0.299782 | − | 0.954008i | \(-0.596914\pi\) | ||||
−0.299782 | + | 0.954008i | \(0.596914\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −4800.00 | −0.329064 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −25800.0 | −1.75987 | −0.879933 | − | 0.475098i | \(-0.842413\pi\) | ||||
−0.879933 | + | 0.475098i | \(0.842413\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 16202.0 | 1.09966 | 0.549828 | − | 0.835278i | \(-0.314693\pi\) | ||||
0.549828 | + | 0.835278i | \(0.314693\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 7956.00 | 0.537302 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −24136.0 | −1.61392 | −0.806960 | − | 0.590605i | \(-0.798889\pi\) | ||||
−0.806960 | + | 0.590605i | \(0.798889\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1440.00 | 0.0958157 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3648.00 | 0.241542 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4642.00 | 0.305854 | 0.152927 | − | 0.988237i | \(-0.451130\pi\) | ||||
0.152927 | + | 0.988237i | \(0.451130\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 6726.00 | 0.438863 | 0.219432 | − | 0.975628i | \(-0.429580\pi\) | ||||
0.219432 | + | 0.975628i | \(0.429580\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 21220.0 | 1.37787 | 0.688937 | − | 0.724821i | \(-0.258078\pi\) | ||||
0.688937 | + | 0.724821i | \(0.258078\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4536.00 | −0.293113 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −12960.0 | −0.833437 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −720.000 | −0.0458597 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −32004.0 | −2.02875 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −29792.0 | −1.87956 | −0.939779 | − | 0.341783i | \(-0.888969\pi\) | ||||
−0.939779 | + | 0.341783i | \(0.888969\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 9996.00 | 0.627655 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3306.00 | 0.205633 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −7128.00 | −0.441282 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −10158.0 | −0.625923 | −0.312962 | − | 0.949766i | \(-0.601321\pi\) | ||||
−0.312962 | + | 0.949766i | \(0.601321\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 29828.0 | 1.82940 | 0.914698 | − | 0.404138i | \(-0.132429\pi\) | ||||
0.914698 | + | 0.404138i | \(0.132429\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 1944.00 | 0.118124 | 0.0590622 | − | 0.998254i | \(-0.481189\pi\) | ||||
0.0590622 | + | 0.998254i | \(0.481189\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −7920.00 | −0.479025 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4224.00 | 0.254304 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −26718.0 | −1.60116 | −0.800579 | − | 0.599227i | \(-0.795475\pi\) | ||||
−0.800579 | + | 0.599227i | \(0.795475\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1962.00 | −0.116507 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −4260.00 | −0.251815 | −0.125907 | − | 0.992042i | \(-0.540184\pi\) | ||||
−0.125907 | + | 0.992042i | \(0.540184\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22862.0 | 1.34528 | 0.672639 | − | 0.739971i | \(-0.265161\pi\) | ||||
0.672639 | + | 0.739971i | \(0.265161\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 14364.0 | 0.841405 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5040.00 | 0.292578 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −7944.00 | −0.459092 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 6456.00 | 0.371432 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 32542.0 | 1.86390 | 0.931948 | − | 0.362592i | \(-0.118108\pi\) | ||||
0.931948 | + | 0.362592i | \(0.118108\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −14214.0 | −0.806925 | −0.403463 | − | 0.914996i | \(-0.632193\pi\) | ||||
−0.403463 | + | 0.914996i | \(0.632193\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 18464.0 | 1.04357 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −6732.00 | −0.378812 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7092.00 | −0.397317 | −0.198659 | − | 0.980069i | \(-0.563659\pi\) | ||||
−0.198659 | + | 0.980069i | \(0.563659\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 16950.0 | 0.941314 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 7524.00 | 0.416026 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 13228.0 | 0.728244 | 0.364122 | − | 0.931351i | \(-0.381369\pi\) | ||||
0.364122 | + | 0.931351i | \(0.381369\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1728.00 | 0.0947205 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5292.00 | 0.287588 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 14094.0 | 0.762638 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 28062.0 | 1.51196 | 0.755982 | − | 0.654592i | \(-0.227160\pi\) | ||||
0.755982 | + | 0.654592i | \(0.227160\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5080.00 | 0.272540 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 9888.00 | 0.525992 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −27250.0 | −1.44343 | −0.721717 | − | 0.692188i | \(-0.756647\pi\) | ||||
−0.721717 | + | 0.692188i | \(0.756647\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4680.00 | 0.246855 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 14784.0 | 0.776529 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −3600.00 | −0.187510 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 14400.0 | 0.746912 | 0.373456 | − | 0.927648i | \(-0.378173\pi\) | ||||
0.373456 | + | 0.927648i | \(0.378173\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2048.00 | −0.105786 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 2154.00 | 0.110800 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17984.0 | 0.917455 | 0.458727 | − | 0.888577i | \(-0.348305\pi\) | ||||
0.458727 | + | 0.888577i | \(0.348305\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 729.000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −6552.00 | −0.331511 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16598.0 | −0.836373 | −0.418186 | − | 0.908361i | \(-0.637334\pi\) | ||||
−0.418186 | + | 0.908361i | \(0.637334\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −10608.0 | −0.530191 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1460.00 | −0.0726752 | −0.0363376 | − | 0.999340i | \(-0.511569\pi\) | ||||
−0.0363376 | + | 0.999340i | \(0.511569\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2280.00 | −0.113034 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −30072.0 | −1.48484 | −0.742419 | − | 0.669936i | \(-0.766322\pi\) | ||||
−0.742419 | + | 0.669936i | \(0.766322\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −4428.00 | −0.216884 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 23616.0 | 1.15208 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 18088.0 | 0.878882 | 0.439441 | − | 0.898271i | \(-0.355177\pi\) | ||||
0.439441 | + | 0.898271i | \(0.355177\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 18036.0 | 0.872866 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −24734.0 | −1.18755 | −0.593773 | − | 0.804633i | \(-0.702362\pi\) | ||||
−0.593773 | + | 0.804633i | \(0.702362\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 6048.00 | 0.289234 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −22278.0 | −1.06120 | −0.530602 | − | 0.847621i | \(-0.678034\pi\) | ||||
−0.530602 | + | 0.847621i | \(0.678034\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −19040.0 | −0.903400 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −25080.0 | −1.18069 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 16130.0 | 0.756388 | 0.378194 | − | 0.925726i | \(-0.376545\pi\) | ||||
0.378194 | + | 0.925726i | \(0.376545\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6138.00 | −0.286712 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −29718.0 | −1.38277 | −0.691386 | − | 0.722486i | \(-0.742999\pi\) | ||||
−0.691386 | + | 0.722486i | \(0.742999\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −12192.0 | −0.562916 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −840.000 | −0.0386343 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9504.00 | 0.435442 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −810.000 | −0.0369694 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 9524.00 | 0.431377 | 0.215689 | − | 0.976462i | \(-0.430800\pi\) | ||||
0.215689 | + | 0.976462i | \(0.430800\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 18216.0 | 0.821935 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −7392.00 | −0.332275 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 20444.0 | 0.915495 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 33906.0 | 1.50692 | 0.753458 | − | 0.657496i | \(-0.228384\pi\) | ||||
0.753458 | + | 0.657496i | \(0.228384\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12096.0 | −0.535577 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7290.00 | 0.321572 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 2616.00 | 0.114965 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 20790.0 | 0.906868 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −630.000 | −0.0273790 | −0.0136895 | − | 0.999906i | \(-0.504358\pi\) | ||||
−0.0136895 | + | 0.999906i | \(0.504358\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 20788.0 | 0.900081 | 0.450040 | − | 0.893008i | \(-0.351410\pi\) | ||||
0.450040 | + | 0.893008i | \(0.351410\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 4056.00 | 0.174969 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1040.00 | 0.0445349 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 5472.00 | 0.233464 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −43098.0 | −1.83207 | −0.916036 | − | 0.401097i | \(-0.868629\pi\) | ||||
−0.916036 | + | 0.401097i | \(0.868629\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −14272.0 | −0.604484 | −0.302242 | − | 0.953231i | \(-0.597735\pi\) | ||||
−0.302242 | + | 0.953231i | \(0.597735\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 13644.0 | 0.573698 | 0.286849 | − | 0.957976i | \(-0.407392\pi\) | ||||
0.286849 | + | 0.957976i | \(0.407392\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2410.00 | −0.100968 | −0.0504842 | − | 0.998725i | \(-0.516076\pi\) | ||||
−0.0504842 | + | 0.998725i | \(0.516076\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3558.00 | −0.148527 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −10962.0 | −0.455955 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −2376.00 | −0.0981202 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −23160.0 | −0.953006 | −0.476503 | − | 0.879173i | \(-0.658096\pi\) | ||||
−0.476503 | + | 0.879173i | \(0.658096\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −23489.0 | −0.963098 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −7326.00 | −0.299313 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 18992.0 | 0.770452 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −8484.00 | −0.342957 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −42672.0 | −1.71889 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −32078.0 | −1.28761 | −0.643804 | − | 0.765190i | \(-0.722645\pi\) | ||||
−0.643804 | + | 0.765190i | \(0.722645\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 14406.0 | 0.574212 | 0.287106 | − | 0.957899i | \(-0.407307\pi\) | ||||
0.287106 | + | 0.957899i | \(0.407307\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −30620.0 | −1.21623 | −0.608115 | − | 0.793849i | \(-0.708074\pi\) | ||||
−0.608115 | + | 0.793849i | \(0.708074\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2016.00 | 0.0797969 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 17568.0 | 0.692957 | 0.346478 | − | 0.938058i | \(-0.387377\pi\) | ||||
0.346478 | + | 0.938058i | \(0.387377\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −32889.0 | −1.28831 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −6240.00 | −0.243587 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −33592.0 | −1.30680 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −10386.0 | −0.402649 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 21706.0 | 0.835758 | 0.417879 | − | 0.908503i | \(-0.362774\pi\) | ||||
0.417879 | + | 0.908503i | \(0.362774\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 14274.0 | 0.547725 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14958.0 | −0.572018 | −0.286009 | − | 0.958227i | \(-0.592329\pi\) | ||||
−0.286009 | + | 0.958227i | \(0.592329\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −32812.0 | −1.25052 | −0.625261 | − | 0.780415i | \(-0.715008\pi\) | ||||
−0.625261 | + | 0.780415i | \(0.715008\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −38856.0 | −1.47086 | −0.735432 | − | 0.677598i | \(-0.763021\pi\) | ||||
−0.735432 | + | 0.677598i | \(0.763021\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 40576.0 | 1.53079 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −972.000 | −0.0365468 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 1920.00 | 0.0719489 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 19152.0 | 0.712895 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 2640.00 | 0.0979410 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −24948.0 | −0.922462 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −2496.00 | −0.0919841 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −28276.0 | −1.03516 | −0.517579 | − | 0.855635i | \(-0.673167\pi\) | ||||
−0.517579 | + | 0.855635i | \(0.673167\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −5562.00 | −0.202948 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −8112.00 | −0.295019 | −0.147510 | − | 0.989061i | \(-0.547126\pi\) | ||||
−0.147510 | + | 0.989061i | \(0.547126\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5904.00 | 0.214013 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 36672.0 | 1.32063 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 26080.0 | 0.936126 | 0.468063 | − | 0.883695i | \(-0.344952\pi\) | ||||
0.468063 | + | 0.883695i | \(0.344952\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 25428.0 | 0.909751 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 30096.0 | 1.07326 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 1152.00 | 0.0408162 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 49170.0 | 1.73651 | 0.868254 | − | 0.496120i | \(-0.165243\pi\) | ||||
0.868254 | + | 0.496120i | \(0.165243\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1740.00 | 0.0612526 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 13896.0 | 0.487604 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −48314.0 | −1.68447 | −0.842236 | − | 0.539110i | \(-0.818761\pi\) | ||||
−0.842236 | + | 0.539110i | \(0.818761\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −14466.0 | −0.502748 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 34782.0 | 1.20495 | 0.602477 | − | 0.798137i | \(-0.294181\pi\) | ||||
0.602477 | + | 0.798137i | \(0.294181\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 7056.00 | 0.243664 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −25116.0 | −0.861838 | −0.430919 | − | 0.902391i | \(-0.641810\pi\) | ||||
−0.430919 | + | 0.902391i | \(0.641810\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8284.00 | 0.283361 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −10278.0 | −0.350460 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 15462.0 | 0.525565 | 0.262782 | − | 0.964855i | \(-0.415360\pi\) | ||||
0.262782 | + | 0.964855i | \(0.415360\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1080.00 | 0.0364801 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −11616.0 | −0.391137 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −22047.0 | −0.740056 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −13284.0 | −0.444518 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −736.000 | −0.0244759 | −0.0122379 | − | 0.999925i | \(-0.503896\pi\) | ||||
−0.0122379 | + | 0.999925i | \(0.503896\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 7560.00 | 0.250632 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 29268.0 | 0.967307 | 0.483653 | − | 0.875260i | \(-0.339310\pi\) | ||||
0.483653 | + | 0.875260i | \(0.339310\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 6080.00 | 0.200325 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −16674.0 | −0.546007 | −0.273003 | − | 0.962013i | \(-0.588017\pi\) | ||||
−0.273003 | + | 0.962013i | \(0.588017\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −9720.00 | −0.317316 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 10710.0 | 0.348567 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −31272.0 | −1.01467 | −0.507336 | − | 0.861749i | \(-0.669370\pi\) | ||||
−0.507336 | + | 0.861749i | \(0.669370\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −4608.00 | −0.148606 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −8736.00 | −0.280878 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 15928.0 | 0.510565 | 0.255282 | − | 0.966867i | \(-0.417832\pi\) | ||||
0.255282 | + | 0.966867i | \(0.417832\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −8364.00 | −0.267295 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −42014.0 | −1.33460 | −0.667300 | − | 0.744789i | \(-0.732550\pi\) | ||||
−0.667300 | + | 0.744789i | \(0.732550\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 6858.00 | 0.217195 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))