Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [968,4,Mod(1,968)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(968, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([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("968.1");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 968 = 2^{3} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 968.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: | \(57.1138488856\) |
Analytic rank: | \(0\) |
Dimension: | \(1\) |
Coefficient field: | \(\mathbb{Q}\) |
Coefficient ring: | \(\mathbb{Z}\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 8) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Character | \(\chi\) | \(=\) | 968.1 |
$q$-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 | ||||||||
\(3\) | −4.00000 | −0.769800 | −0.384900 | − | 0.922958i | \(-0.625764\pi\) | ||||
−0.384900 | + | 0.922958i | \(0.625764\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.00000 | −0.178885 | −0.0894427 | − | 0.995992i | \(-0.528509\pi\) | ||||
−0.0894427 | + | 0.995992i | \(0.528509\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −24.0000 | −1.29588 | −0.647939 | − | 0.761692i | \(-0.724369\pi\) | ||||
−0.647939 | + | 0.761692i | \(0.724369\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −11.0000 | −0.407407 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −22.0000 | −0.469362 | −0.234681 | − | 0.972072i | \(-0.575405\pi\) | ||||
−0.234681 | + | 0.972072i | \(0.575405\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 8.00000 | 0.137706 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −50.0000 | −0.713340 | −0.356670 | − | 0.934230i | \(-0.616088\pi\) | ||||
−0.356670 | + | 0.934230i | \(0.616088\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −44.0000 | −0.531279 | −0.265639 | − | 0.964072i | \(-0.585583\pi\) | ||||
−0.265639 | + | 0.964072i | \(0.585583\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 96.0000 | 0.997567 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −56.0000 | −0.507687 | −0.253844 | − | 0.967245i | \(-0.581695\pi\) | ||||
−0.253844 | + | 0.967245i | \(0.581695\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −121.000 | −0.968000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 152.000 | 1.08342 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −198.000 | −1.26785 | −0.633925 | − | 0.773394i | \(-0.718557\pi\) | ||||
−0.633925 | + | 0.773394i | \(0.718557\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −160.000 | −0.926995 | −0.463498 | − | 0.886098i | \(-0.653406\pi\) | ||||
−0.463498 | + | 0.886098i | \(0.653406\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 48.0000 | 0.231814 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −162.000 | −0.719801 | −0.359900 | − | 0.932991i | \(-0.617189\pi\) | ||||
−0.359900 | + | 0.932991i | \(0.617189\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 88.0000 | 0.361315 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 198.000 | 0.754205 | 0.377102 | − | 0.926172i | \(-0.376920\pi\) | ||||
0.377102 | + | 0.926172i | \(0.376920\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −52.0000 | −0.184417 | −0.0922084 | − | 0.995740i | \(-0.529393\pi\) | ||||
−0.0922084 | + | 0.995740i | \(0.529393\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 22.0000 | 0.0728793 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 528.000 | 1.63865 | 0.819327 | − | 0.573327i | \(-0.194347\pi\) | ||||
0.819327 | + | 0.573327i | \(0.194347\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 233.000 | 0.679300 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 200.000 | 0.549129 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −242.000 | −0.627194 | −0.313597 | − | 0.949556i | \(-0.601534\pi\) | ||||
−0.313597 | + | 0.949556i | \(0.601534\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 176.000 | 0.408978 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −668.000 | −1.47400 | −0.737002 | − | 0.675891i | \(-0.763759\pi\) | ||||
−0.737002 | + | 0.675891i | \(0.763759\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −550.000 | −1.15443 | −0.577215 | − | 0.816592i | \(-0.695861\pi\) | ||||
−0.577215 | + | 0.816592i | \(0.695861\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 264.000 | 0.527950 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 44.0000 | 0.0839620 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 188.000 | 0.342804 | 0.171402 | − | 0.985201i | \(-0.445170\pi\) | ||||
0.171402 | + | 0.985201i | \(0.445170\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 224.000 | 0.390818 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 728.000 | 1.21687 | 0.608435 | − | 0.793604i | \(-0.291798\pi\) | ||||
0.608435 | + | 0.793604i | \(0.291798\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −154.000 | −0.246909 | −0.123454 | − | 0.992350i | \(-0.539397\pi\) | ||||
−0.123454 | + | 0.992350i | \(0.539397\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 484.000 | 0.745167 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 656.000 | 0.934250 | 0.467125 | − | 0.884191i | \(-0.345290\pi\) | ||||
0.467125 | + | 0.884191i | \(0.345290\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −311.000 | −0.426612 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −236.000 | −0.312101 | −0.156050 | − | 0.987749i | \(-0.549876\pi\) | ||||
−0.156050 | + | 0.987749i | \(0.549876\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 100.000 | 0.127606 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 792.000 | 0.975992 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 714.000 | 0.850380 | 0.425190 | − | 0.905104i | \(-0.360207\pi\) | ||||
0.425190 | + | 0.905104i | \(0.360207\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 528.000 | 0.608236 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 640.000 | 0.713601 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 88.0000 | 0.0950380 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −478.000 | −0.500346 | −0.250173 | − | 0.968201i | \(-0.580487\pi\) | ||||
−0.250173 | + | 0.968201i | \(0.580487\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1566.00 | −1.54280 | −0.771400 | − | 0.636350i | \(-0.780443\pi\) | ||||
−0.771400 | + | 0.636350i | \(0.780443\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −968.000 | −0.926018 | −0.463009 | − | 0.886354i | \(-0.653230\pi\) | ||||
−0.463009 | + | 0.886354i | \(0.653230\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −192.000 | −0.178450 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 780.000 | 0.704724 | 0.352362 | − | 0.935864i | \(-0.385379\pi\) | ||||
0.352362 | + | 0.935864i | \(0.385379\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1994.00 | 1.75221 | 0.876103 | − | 0.482123i | \(-0.160134\pi\) | ||||
0.876103 | + | 0.482123i | \(0.160134\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 648.000 | 0.554103 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −942.000 | −0.784212 | −0.392106 | − | 0.919920i | \(-0.628253\pi\) | ||||
−0.392106 | + | 0.919920i | \(0.628253\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 112.000 | 0.0908179 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 242.000 | 0.191221 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1200.00 | 0.924402 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −792.000 | −0.580587 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 492.000 | 0.352047 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1408.00 | −0.983778 | −0.491889 | − | 0.870658i | \(-0.663693\pi\) | ||||
−0.491889 | + | 0.870658i | \(0.663693\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 208.000 | 0.141964 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2692.00 | 1.79543 | 0.897714 | − | 0.440578i | \(-0.145227\pi\) | ||||
0.897714 | + | 0.440578i | \(0.145227\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1056.00 | 0.688472 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −304.000 | −0.193809 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1626.00 | 1.01400 | 0.507002 | − | 0.861945i | \(-0.330754\pi\) | ||||
0.507002 | + | 0.861945i | \(0.330754\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 684.000 | 0.417382 | 0.208691 | − | 0.977982i | \(-0.433080\pi\) | ||||
0.208691 | + | 0.977982i | \(0.433080\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2112.00 | −1.26144 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 396.000 | 0.226800 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −932.000 | −0.522926 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −302.000 | −0.166046 | −0.0830228 | − | 0.996548i | \(-0.526457\pi\) | ||||
−0.0830228 | + | 0.996548i | \(0.526457\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1352.00 | −0.728637 | −0.364319 | − | 0.931274i | \(-0.618698\pi\) | ||||
−0.364319 | + | 0.931274i | \(0.618698\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 550.000 | 0.290620 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 320.000 | 0.165826 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3142.00 | 1.59719 | 0.798595 | − | 0.601868i | \(-0.205577\pi\) | ||||
0.798595 | + | 0.601868i | \(0.205577\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 968.000 | 0.482814 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1344.00 | 0.657901 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3036.00 | 1.45888 | 0.729441 | − | 0.684043i | \(-0.239780\pi\) | ||||
0.729441 | + | 0.684043i | \(0.239780\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 264.000 | 0.122329 | 0.0611645 | − | 0.998128i | \(-0.480519\pi\) | ||||
0.0611645 | + | 0.998128i | \(0.480519\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1713.00 | −0.779700 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 484.000 | 0.216447 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2826.00 | 1.24195 | 0.620973 | − | 0.783832i | \(-0.286737\pi\) | ||||
0.620973 | + | 0.783832i | \(0.286737\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2904.00 | 1.25441 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 2672.00 | 1.13469 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3084.00 | 1.28776 | 0.643880 | − | 0.765127i | \(-0.277324\pi\) | ||||
0.643880 | + | 0.765127i | \(0.277324\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2418.00 | −0.992975 | −0.496488 | − | 0.868044i | \(-0.665377\pi\) | ||||
−0.496488 | + | 0.868044i | \(0.665377\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2200.00 | 0.888681 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 324.000 | 0.128762 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −3648.00 | −1.40398 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −960.000 | −0.363681 | −0.181841 | − | 0.983328i | \(-0.558206\pi\) | ||||
−0.181841 | + | 0.983328i | \(0.558206\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2882.00 | −1.07488 | −0.537438 | − | 0.843304i | \(-0.680608\pi\) | ||||
−0.537438 | + | 0.843304i | \(0.680608\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −176.000 | −0.0646340 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1086.00 | −0.392763 | −0.196381 | − | 0.980528i | \(-0.562919\pi\) | ||||
−0.196381 | + | 0.980528i | \(0.562919\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 88.0000 | 0.0313475 | 0.0156738 | − | 0.999877i | \(-0.495011\pi\) | ||||
0.0156738 | + | 0.999877i | \(0.495011\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −752.000 | −0.263890 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 4752.00 | 1.64298 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −396.000 | −0.134916 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 616.000 | 0.206836 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3476.00 | 1.13411 | 0.567056 | − | 0.823679i | \(-0.308082\pi\) | ||||
0.567056 | + | 0.823679i | \(0.308082\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −2912.00 | −0.936746 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 104.000 | 0.0329895 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3840.00 | 1.20127 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 616.000 | 0.190070 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1100.00 | 0.334815 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 928.000 | 0.278670 | 0.139335 | − | 0.990245i | \(-0.455503\pi\) | ||||
0.139335 | + | 0.990245i | \(0.455503\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1331.00 | 0.394370 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −156.000 | −0.0456127 | −0.0228064 | − | 0.999740i | \(-0.507260\pi\) | ||||
−0.0228064 | + | 0.999740i | \(0.507260\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1634.00 | −0.471519 | −0.235759 | − | 0.971811i | \(-0.575758\pi\) | ||||
−0.235759 | + | 0.971811i | \(0.575758\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 902.000 | 0.253614 | 0.126807 | − | 0.991927i | \(-0.459527\pi\) | ||||
0.126807 | + | 0.991927i | \(0.459527\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1056.00 | −0.293131 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2624.00 | −0.719186 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1616.00 | −0.437365 | −0.218683 | − | 0.975796i | \(-0.570176\pi\) | ||||
−0.218683 | + | 0.975796i | \(0.570176\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4818.00 | −1.28778 | −0.643889 | − | 0.765119i | \(-0.722680\pi\) | ||||
−0.643889 | + | 0.765119i | \(0.722680\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −2860.00 | −0.755017 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −466.000 | −0.121517 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 968.000 | 0.249362 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 944.000 | 0.240255 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2140.00 | −0.538150 | −0.269075 | − | 0.963119i | \(-0.586718\pi\) | ||||
−0.269075 | + | 0.963119i | \(0.586718\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −400.000 | −0.0982313 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 770.000 | 0.186892 | 0.0934461 | − | 0.995624i | \(-0.470212\pi\) | ||||
0.0934461 | + | 0.995624i | \(0.470212\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3888.00 | 0.932774 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2178.00 | 0.516532 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 7400.00 | 1.73499 | 0.867497 | − | 0.497442i | \(-0.165727\pi\) | ||||
0.867497 | + | 0.497442i | \(0.165727\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 484.000 | 0.112196 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2856.00 | −0.654623 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −2794.00 | −0.633283 | −0.316642 | − | 0.948545i | \(-0.602555\pi\) | ||||
−0.316642 | + | 0.948545i | \(0.602555\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8624.00 | −1.93310 | −0.966551 | − | 0.256474i | \(-0.917439\pi\) | ||||
−0.966551 | + | 0.256474i | \(0.917439\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2112.00 | −0.468220 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1874.00 | 0.406490 | 0.203245 | − | 0.979128i | \(-0.434851\pi\) | ||||
0.203245 | + | 0.979128i | \(0.434851\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1760.00 | 0.377665 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3338.00 | −0.708642 | −0.354321 | − | 0.935124i | \(-0.615288\pi\) | ||||
−0.354321 | + | 0.935124i | \(0.615288\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7172.00 | −1.50647 | −0.753235 | − | 0.657751i | \(-0.771508\pi\) | ||||
−0.753235 | + | 0.657751i | \(0.771508\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −352.000 | −0.0731603 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4752.00 | −0.977358 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2413.00 | −0.491146 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1912.00 | 0.385166 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −5214.00 | −1.03961 | −0.519804 | − | 0.854286i | \(-0.673995\pi\) | ||||
−0.519804 | + | 0.854286i | \(0.673995\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1336.00 | 0.263678 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1232.00 | 0.238289 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1248.00 | 0.238982 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 6264.00 | 1.18765 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1100.00 | 0.206511 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −396.000 | −0.0736186 | −0.0368093 | − | 0.999322i | \(-0.511719\pi\) | ||||
−0.0368093 | + | 0.999322i | \(0.511719\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3872.00 | 0.712849 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −4056.00 | −0.739533 | −0.369766 | − | 0.929125i | \(-0.620562\pi\) | ||||
−0.369766 | + | 0.929125i | \(0.620562\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2154.00 | 0.388982 | 0.194491 | − | 0.980904i | \(-0.437695\pi\) | ||||
0.194491 | + | 0.980904i | \(0.437695\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −528.000 | −0.0944426 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −7386.00 | −1.30864 | −0.654320 | − | 0.756217i | \(-0.727045\pi\) | ||||
−0.654320 | + | 0.756217i | \(0.727045\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3120.00 | −0.542497 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2200.00 | 0.378982 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2662.00 | 0.454342 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −7976.00 | −1.34885 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −12672.0 | −2.12350 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1132.00 | −0.187977 | −0.0939884 | − | 0.995573i | \(-0.529962\pi\) | ||||
−0.0939884 | + | 0.995573i | \(0.529962\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1782.00 | 0.293252 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −376.000 | −0.0613226 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3342.00 | 0.540209 | 0.270104 | − | 0.962831i | \(-0.412942\pi\) | ||||
0.270104 | + | 0.962831i | \(0.412942\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3768.00 | 0.603686 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2640.00 | 0.415588 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −448.000 | −0.0699116 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2244.00 | −0.347159 | −0.173580 | − | 0.984820i | \(-0.555533\pi\) | ||||
−0.173580 | + | 0.984820i | \(0.555533\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6522.00 | 1.00033 | 0.500164 | − | 0.865931i | \(-0.333273\pi\) | ||||
0.500164 | + | 0.865931i | \(0.333273\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3344.00 | −0.508517 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −11230.0 | −1.69324 | −0.846618 | − | 0.532200i | \(-0.821365\pi\) | ||||
−0.846618 | + | 0.532200i | \(0.821365\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1456.00 | −0.217680 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −4800.00 | −0.711605 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1848.00 | −0.271682 | −0.135841 | − | 0.990731i | \(-0.543374\pi\) | ||||
−0.135841 | + | 0.990731i | \(0.543374\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4923.00 | −0.717743 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 308.000 | 0.0441684 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7120.00 | 1.01270 | 0.506350 | − | 0.862328i | \(-0.330994\pi\) | ||||
0.506350 | + | 0.862328i | \(0.330994\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −2178.00 | −0.307269 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 5808.00 | 0.812766 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6350.00 | −0.881476 | −0.440738 | − | 0.897636i | \(-0.645283\pi\) | ||||
−0.440738 | + | 0.897636i | \(0.645283\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1968.00 | −0.271006 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 4356.00 | 0.595081 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7900.00 | −1.07070 | −0.535351 | − | 0.844630i | \(-0.679821\pi\) | ||||
−0.535351 | + | 0.844630i | \(0.679821\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 5632.00 | 0.757313 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 10368.0 | 1.38324 | 0.691619 | − | 0.722263i | \(-0.256898\pi\) | ||||
0.691619 | + | 0.722263i | \(0.256898\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 572.000 | 0.0751328 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 8830.00 | 1.15090 | 0.575448 | − | 0.817838i | \(-0.304828\pi\) | ||||
0.575448 | + | 0.817838i | \(0.304828\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2800.00 | 0.362154 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −10768.0 | −1.38212 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1312.00 | −0.167124 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9878.00 | 1.24877 | 0.624386 | − | 0.781116i | \(-0.285349\pi\) | ||||
0.624386 | + | 0.781116i | \(0.285349\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −4224.00 | −0.529986 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −13134.0 | −1.63561 | −0.817806 | − | 0.575494i | \(-0.804810\pi\) | ||||
−0.817806 | + | 0.575494i | \(0.804810\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3520.00 | 0.435096 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 622.000 | 0.0763146 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −906.000 | −0.109533 | −0.0547663 | − | 0.998499i | \(-0.517441\pi\) | ||||
−0.0547663 | + | 0.998499i | \(0.517441\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6504.00 | −0.780581 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 16032.0 | 1.91013 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 472.000 | 0.0558303 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −2736.00 | −0.321301 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −5412.00 | −0.631011 | −0.315505 | − | 0.948924i | \(-0.602174\pi\) | ||||
−0.315505 | + | 0.948924i | \(0.602174\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4642.00 | −0.537381 | −0.268690 | − | 0.963227i | \(-0.586591\pi\) | ||||
−0.268690 | + | 0.963227i | \(0.586591\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −5808.00 | −0.667600 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 6050.00 | 0.690513 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 13200.0 | 1.49600 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −656.000 | −0.0733142 | −0.0366571 | − | 0.999328i | \(-0.511671\pi\) | ||||
−0.0366571 | + | 0.999328i | \(0.511671\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9490.00 | 1.05326 | 0.526629 | − | 0.850096i | \(-0.323456\pi\) | ||||
0.526629 | + | 0.850096i | \(0.323456\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1584.00 | −0.174591 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2464.00 | 0.269723 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5544.00 | −0.602735 | −0.301368 | − | 0.953508i | \(-0.597443\pi\) | ||||
−0.301368 | + | 0.953508i | \(0.597443\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2563.00 | −0.276752 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 7652.00 | 0.820672 | 0.410336 | − | 0.911935i | \(-0.365412\pi\) | ||||
0.410336 | + | 0.911935i | \(0.365412\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1428.00 | −0.152121 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 1208.00 | 0.127822 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −446.000 | −0.0468776 | −0.0234388 | − | 0.999725i | \(-0.507461\pi\) | ||||
−0.0234388 | + | 0.999725i | \(0.507461\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 5408.00 | 0.560905 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1056.00 | −0.108804 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1562.00 | −0.159885 | −0.0799423 | − | 0.996799i | \(-0.525474\pi\) | ||||
−0.0799423 | + | 0.996799i | \(0.525474\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −7600.00 | −0.772849 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −10582.0 | −1.06910 | −0.534548 | − | 0.845138i | \(-0.679518\pi\) | ||||
−0.534548 | + | 0.845138i | \(0.679518\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10768.0 | −1.08085 | −0.540423 | − | 0.841394i | \(-0.681736\pi\) | ||||
−0.540423 | + | 0.841394i | \(0.681736\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1280.00 | −0.127653 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −9876.00 | −0.978601 | −0.489301 | − | 0.872115i | \(-0.662748\pi\) | ||||
−0.489301 | + | 0.872115i | \(0.662748\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4512.00 | −0.444232 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −12568.0 | −1.22952 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5324.00 | 0.514278 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2662.00 | 0.255523 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 352.000 | 0.0335768 | 0.0167884 | − | 0.999859i | \(-0.494656\pi\) | ||||
0.0167884 | + | 0.999859i | \(0.494656\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3564.00 | 0.337847 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −5376.00 | −0.506452 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 956.000 | 0.0895046 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15176.0 | −1.41209 | −0.706047 | − | 0.708165i | \(-0.749523\pi\) | ||||
−0.706047 | + | 0.708165i | \(0.749523\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −12144.0 | −1.12305 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8844.00 | 0.812880 | 0.406440 | − | 0.913677i | \(-0.366770\pi\) | ||||
0.406440 | + | 0.913677i | \(0.366770\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9900.00 | 0.904409 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −17472.0 | −1.57691 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 19404.0 | 1.74077 | 0.870383 | − | 0.492375i | \(-0.163871\pi\) | ||||
0.870383 | + | 0.492375i | \(0.163871\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1056.00 | −0.0941689 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −16488.0 | −1.46156 | −0.730779 | − | 0.682614i | \(-0.760843\pi\) | ||||
−0.730779 | + | 0.682614i | \(0.760843\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3132.00 | 0.275984 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 6852.00 | 0.600213 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −12954.0 | −1.12805 | −0.564024 | − | 0.825759i | \(-0.690747\pi\) | ||||
−0.564024 | + | 0.825759i | \(0.690747\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3696.00 | 0.319964 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −6688.00 | −0.575599 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1936.00 | 0.165651 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −11304.0 | −0.956051 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 10970.0 | 0.922465 | 0.461233 | − | 0.887279i | \(-0.347407\pi\) | ||||
0.461233 | + | 0.887279i | \(0.347407\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16940.0 | 1.41632 | 0.708159 | − | 0.706053i | \(-0.249526\pi\) | ||||
0.708159 | + | 0.706053i | \(0.249526\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −11616.0 | −0.965645 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 8000.00 | 0.661263 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9031.00 | −0.742254 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 7348.00 | 0.600520 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4356.00 | −0.353995 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1560.00 | −0.126065 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −12336.0 | −0.991318 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −198.000 | −0.0157351 | −0.00786755 | − | 0.999969i | \(-0.502504\pi\) | ||||
−0.00786755 | + | 0.999969i | \(0.502504\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 9672.00 | 0.764393 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −3988.00 | −0.313444 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 15268.0 | 1.19344 | 0.596721 | − | 0.802449i | \(-0.296470\pi\) | ||||
0.596721 | + | 0.802449i | \(0.296470\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 6050.00 | 0.470324 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 8712.00 | 0.673582 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15744.0 | −1.21067 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1296.00 | −0.0991210 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −20854.0 | −1.58638 | −0.793189 | − | 0.608976i | \(-0.791581\pi\) | ||||
−0.793189 | + | 0.608976i | \(0.791581\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1144.00 | 0.0865582 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 19316.0 | 1.44595 | 0.722977 | − | 0.690872i | \(-0.242773\pi\) | ||||
0.722977 | + | 0.690872i | \(0.242773\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1884.00 | 0.140284 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 7464.00 | 0.552837 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −7018.00 | −0.517065 | −0.258532 | − | 0.966003i | \(-0.583239\pi\) | ||||
−0.258532 | + | 0.966003i | \(0.583239\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −24420.0 | −1.78975 | −0.894873 | − | 0.446320i | \(-0.852734\pi\) | ||||
−0.894873 | + | 0.446320i | \(0.852734\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3840.00 | 0.279962 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6776.00 | 0.491441 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 23234.0 | 1.67633 | 0.838166 | − | 0.545415i | \(-0.183628\pi\) | ||||
0.838166 | + | 0.545415i | \(0.183628\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 11528.0 | 0.827439 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 5664.00 | 0.404445 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −484.000 | −0.0342067 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −10604.0 | −0.745611 | −0.372806 | − | 0.927909i | \(-0.621604\pi\) | ||||
−0.372806 | + | 0.927909i | \(0.621604\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7040.00 | 0.492493 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4344.00 | 0.302349 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 13838.0 | 0.958277 | 0.479139 | − | 0.877739i | \(-0.340949\pi\) | ||||
0.479139 | + | 0.877739i | \(0.340949\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2400.00 | −0.165362 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −352.000 | −0.0241313 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −3960.00 | −0.270119 | −0.135059 | − | 0.990837i | \(-0.543123\pi\) | ||||
−0.135059 | + | 0.990837i | \(0.543123\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5942.00 | 0.403293 | 0.201647 | − | 0.979458i | \(-0.435371\pi\) | ||||
0.201647 | + | 0.979458i | \(0.435371\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2068.00 | −0.139661 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3040.00 | 0.203278 | 0.101639 | − | 0.994821i | \(-0.467591\pi\) | ||||
0.101639 | + | 0.994821i | \(0.467591\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −19008.0 | −1.26477 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −11616.0 | −0.769121 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2530.00 | 0.166698 | 0.0833489 | − | 0.996520i | \(-0.473438\pi\) | ||||
0.0833489 | + | 0.996520i | \(0.473438\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1584.00 | 0.103859 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −19206.0 | −1.25317 | −0.626584 | − | 0.779354i | \(-0.715547\pi\) | ||||
−0.626584 | + | 0.779354i | \(0.715547\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10996.0 | 0.714001 | 0.357000 | − | 0.934104i | \(-0.383799\pi\) | ||||
0.357000 | + | 0.934104i | \(0.383799\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −8512.00 | −0.550040 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −17136.0 | −1.10199 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14141.0 | 0.905024 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 8100.00 | 0.513463 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6680.00 | −0.421437 | −0.210718 | − | 0.977547i | \(-0.567580\pi\) | ||||
−0.210718 | + | 0.977547i | \(0.567580\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −13904.0 | −0.873040 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 2816.00 | 0.175984 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5126.00 | −0.318838 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −8008.00 | −0.495761 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 6274.00 | 0.386596 | 0.193298 | − | 0.981140i | \(-0.438082\pi\) | ||||
0.193298 | + | 0.981140i | \(0.438082\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9084.00 | 0.557135 | 0.278568 | − | 0.960417i | \(-0.410140\pi\) | ||||
0.278568 | + | 0.960417i | \(0.410140\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −416.000 | −0.0253953 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −23656.0 | −1.43742 | −0.718712 | − | 0.695308i | \(-0.755268\pi\) | ||||
−0.718712 | + | 0.695308i | \(0.755268\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −15360.0 | −0.924740 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −6762.00 | −0.405234 | −0.202617 | − | 0.979258i | \(-0.564945\pi\) | ||||
−0.202617 | + | 0.979258i | \(0.564945\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5384.00 | −0.321176 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 1694.00 | 0.100592 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −15276.0 | −0.902987 | −0.451494 | − | 0.892274i | \(-0.649109\pi\) | ||||
−0.451494 | + | 0.892274i | \(0.649109\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11054.0 | 0.650455 | 0.325228 | − | 0.945636i | \(-0.394559\pi\) | ||||
0.325228 | + | 0.945636i | \(0.394559\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −4400.00 | −0.257740 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −2112.00 | −0.123158 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 11088.0 | 0.643672 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −3712.00 | −0.214520 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 21278.0 | 1.21873 | 0.609366 | − | 0.792889i | \(-0.291424\pi\) | ||||
0.609366 | + | 0.792889i | \(0.291424\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −18392.0 | −1.04875 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −8926.00 | −0.506727 | −0.253363 | − | 0.967371i | \(-0.581537\pi\) | ||||
−0.253363 | + | 0.967371i | \(0.581537\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 11472.0 | 0.648387 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 624.000 | 0.0351127 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 8116.00 | 0.454685 | 0.227343 | − | 0.973815i | \(-0.426996\pi\) | ||||
0.227343 | + | 0.973815i | \(0.426996\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3252.00 | −0.181391 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 6536.00 | 0.362975 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 5324.00 | 0.294381 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11764.0 | −0.647646 | −0.323823 | − | 0.946118i | \(-0.604968\pi\) | ||||
−0.323823 | + | 0.946118i | \(0.604968\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −1368.00 | −0.0746636 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9900.00 | −0.538005 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −3608.00 | −0.195232 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 4698.00 | 0.253126 | 0.126563 | − | 0.991959i | \(-0.459605\pi\) | ||||
0.126563 | + | 0.991959i | \(0.459605\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7128.00 | 0.382415 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 4224.00 | 0.225653 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 37584.0 | 1.99928 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 24638.0 | 1.30508 | 0.652538 | − | 0.757756i | \(-0.273704\pi\) | ||||
0.652538 | + | 0.757756i | \(0.273704\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −7216.00 | −0.380620 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 8960.00 | 0.470624 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 6464.00 | 0.336684 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 16624.0 | 0.862268 | 0.431134 | − | 0.902288i | \(-0.358114\pi\) | ||||
0.431134 | + | 0.902288i | \(0.358114\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 23232.0 | 1.20001 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 19272.0 | 0.991332 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 23958.0 | 1.22728 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 30216.0 | 1.54147 | 0.770735 | − | 0.637155i | \(-0.219889\pi\) | ||||
0.770735 | + | 0.637155i | \(0.219889\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 19837.0 | 1.00782 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2600.00 | 0.131552 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3322.00 | 0.167395 | 0.0836977 | − | 0.996491i | \(-0.473327\pi\) | ||||
0.0836977 | + | 0.996491i | \(0.473327\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1864.00 | 0.0935438 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 14692.0 | 0.731331 | 0.365666 | − | 0.930746i | \(-0.380841\pi\) | ||||
0.365666 | + | 0.930746i | \(0.380841\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3872.00 | −0.191959 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −28600.0 | −1.41216 | −0.706078 | − | 0.708134i | \(-0.749537\pi\) | ||||
−0.706078 | + | 0.708134i | \(0.749537\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 604.000 | 0.0297032 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2596.00 | 0.127152 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −18720.0 | −0.913236 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −29616.0 | −1.43902 | −0.719509 | − | 0.694483i | \(-0.755633\pi\) | ||||
−0.719509 | + | 0.694483i | \(0.755633\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 8560.00 | 0.414268 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 2704.00 | 0.130343 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2894.00 | 0.138949 | 0.0694744 | − | 0.997584i | \(-0.477868\pi\) | ||||
0.0694744 | + | 0.997584i | \(0.477868\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −14762.0 | −0.703183 | −0.351591 | − | 0.936154i | \(-0.614359\pi\) | ||||
−0.351591 | + | 0.936154i | \(0.614359\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −47856.0 | −2.27065 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1100.00 | −0.0519877 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 14696.0 | 0.691841 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7678.00 | 0.360047 | 0.180023 | − | 0.983662i | \(-0.442383\pi\) | ||||
0.180023 | + | 0.983662i | \(0.442383\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3080.00 | −0.143870 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 27390.0 | 1.27445 | 0.637225 | − | 0.770678i | \(-0.280082\pi\) | ||||
0.637225 | + | 0.770678i | \(0.280082\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 19360.0 | 0.897331 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −15552.0 | −0.718050 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −8712.00 | −0.400693 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −30096.0 | −1.37362 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6284.00 | −0.285714 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19756.0 | −0.894823 | −0.447411 | − | 0.894328i | \(-0.647654\pi\) | ||||
−0.447411 | + | 0.894328i | \(0.647654\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −29600.0 | −1.33560 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 22608.0 | 1.01624 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 12100.0 | 0.541846 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −1936.00 | −0.0863684 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 38854.0 | 1.72682 | 0.863412 | − | 0.504499i | \(-0.168323\pi\) | ||||
0.863412 | + | 0.504499i | \(0.168323\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −26400.0 | −1.16892 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −7854.00 | −0.346451 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2688.00 | −0.117689 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 11176.0 | 0.487502 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 14278.0 | 0.620504 | 0.310252 | − | 0.950654i | \(-0.399587\pi\) | ||||
0.310252 | + | 0.950654i | \(0.399587\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 716.000 | 0.0310014 | 0.0155007 | − | 0.999880i | \(-0.495066\pi\) | ||||
0.0155007 | + | 0.999880i | \(0.495066\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 34496.0 | 1.48810 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −6072.00 | −0.260973 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2288.00 | 0.0979767 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −5808.00 | −0.247800 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 23538.0 | 1.00059 | 0.500293 | − | 0.865856i | \(-0.333225\pi\) | ||||
0.500293 | + | 0.865856i | \(0.333225\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −6616.00 | −0.280218 | −0.140109 | − | 0.990136i | \(-0.544745\pi\) | ||||
−0.140109 | + | 0.990136i | \(0.544745\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −27236.0 | −1.14521 | −0.572605 | − | 0.819831i | \(-0.694067\pi\) | ||||
−0.572605 | + | 0.819831i | \(0.694067\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12070.0 | 0.505680 | 0.252840 | − | 0.967508i | \(-0.418635\pi\) | ||||
0.252840 | + | 0.967508i | \(0.418635\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −7496.00 | −0.312916 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −11650.0 | −0.484572 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −528.000 | −0.0218829 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −24320.0 | −1.00433 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −42024.0 | −1.72924 | −0.864618 | − | 0.502429i | \(-0.832440\pi\) | ||||
−0.864618 | + | 0.502429i | \(0.832440\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14815.0 | 0.607446 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 13352.0 | 0.545513 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 3426.00 | 0.139477 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 28688.0 | 1.15968 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 9072.00 | 0.365434 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −2414.00 | −0.0968978 | −0.0484489 | − | 0.998826i | \(-0.515428\pi\) | ||||
−0.0484489 | + | 0.998826i | \(0.515428\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −968.000 | −0.0387192 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 37686.0 | 1.50213 | 0.751067 | − | 0.660226i | \(-0.229539\pi\) | ||||
0.751067 | + | 0.660226i | \(0.229539\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 40644.0 | 1.61438 | 0.807192 | − | 0.590289i | \(-0.200986\pi\) | ||||
0.807192 | + | 0.590289i | \(0.200986\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 19008.0 | 0.752370 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −18656.0 | −0.735872 | −0.367936 | − | 0.929851i | \(-0.619935\pi\) | ||||
−0.367936 | + | 0.929851i | \(0.619935\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5652.00 | −0.222166 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 9652.00 | 0.378084 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4136.00 | −0.160899 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 5258.00 | 0.203845 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −11808.0 | −0.456209 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 13002.0 | 0.500623 | 0.250311 | − | 0.968165i | \(-0.419467\pi\) | ||||
0.250311 | + | 0.968165i | \(0.419467\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 20856.0 | 0.800291 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 49490.0 | 1.89258 | 0.946289 | − | 0.323323i | \(-0.104800\pi\) | ||||
0.946289 | + | 0.323323i | \(0.104800\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1100.00 | 0.0419229 | 0.0209615 | − | 0.999780i | \(-0.493327\pi\) | ||||
0.0209615 | + | 0.999780i | \(0.493327\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −5344.00 | −0.202979 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 14104.0 | 0.533896 | 0.266948 | − | 0.963711i | \(-0.413985\pi\) | ||||
0.266948 | + | 0.963711i | \(0.413985\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 33792.0 | 1.27486 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −23232.0 | −0.870581 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6168.00 | −0.230361 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −4928.00 | −0.183435 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 31680.0 | 1.17529 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 12100.0 | 0.447402 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −4992.00 | −0.183968 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 4836.00 | 0.177629 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −12716.0 | −0.465521 | −0.232761 | − | 0.972534i | \(-0.574776\pi\) | ||||
−0.232761 | + | 0.972534i | \(0.574776\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 17226.0 | 0.628548 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −39632.0 | −1.44135 | −0.720673 | − | 0.693275i | \(-0.756167\pi\) | ||||
−0.720673 | + | 0.693275i | \(0.756167\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −4400.00 | −0.158972 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −64608.0 | −2.32666 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5704.00 | −0.204742 | −0.102371 | − | 0.994746i | \(-0.532643\pi\) | ||||
−0.102371 | + | 0.994746i | \(0.532643\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 1584.00 | 0.0566716 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −16016.0 | −0.571152 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 19602.0 | 0.696767 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 10648.0 | 0.377267 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 8162.00 | 0.288252 | 0.144126 | − | 0.989559i | \(-0.453963\pi\) | ||||
0.144126 | + | 0.989559i | \(0.453963\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −10252.0 | −0.360898 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 16224.0 | 0.569293 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 55110.0 | 1.92141 | 0.960707 | − | 0.277564i | \(-0.0895270\pi\) | ||||
0.960707 | + | 0.277564i | \(0.0895270\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −8616.00 | −0.299438 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −16374.0 | −0.567245 | −0.283622 | − | 0.958936i | \(-0.591536\pi\) | ||||
−0.283622 | + | 0.958936i | \(0.591536\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −11088.0 | −0.382900 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 7296.00 | 0.251152 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 8460.00 | 0.290299 | 0.145149 | − | 0.989410i | \(-0.453634\pi\) | ||||
0.145149 | + | 0.989410i | \(0.453634\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3388.00 | 0.115889 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 29544.0 | 1.00739 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 20502.0 | 0.696878 | 0.348439 | − | 0.937331i | \(-0.386712\pi\) | ||||
0.348439 | + | 0.937331i | \(0.386712\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1920.00 | 0.0650573 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −39024.0 | −1.31403 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4191.00 | −0.140680 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −8580.00 | −0.287110 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 5764.00 | 0.192280 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 36520.0 | 1.21448 | 0.607241 | − | 0.794518i | \(-0.292276\pi\) | ||||
0.607241 | + | 0.794518i | \(0.292276\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −8800.00 | −0.291741 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 20244.0 | 0.669064 | 0.334532 | − | 0.942384i | \(-0.391422\pi\) | ||||
0.334532 | + | 0.942384i | \(0.391422\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −16416.0 | −0.540876 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −10648.0 | −0.349753 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 50034.0 | 1.63841 | 0.819206 | − | 0.573499i | \(-0.194414\pi\) | ||||
0.819206 | + | 0.573499i | \(0.194414\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −21934.0 | −0.713862 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 37128.0 | 1.20468 | 0.602339 | − | 0.798240i | \(-0.294235\pi\) | ||||
0.602339 | + | 0.798240i | \(0.294235\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2172.00 | 0.0702596 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 50688.0 | 1.63467 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2912.00 | 0.0936261 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 27808.0 | 0.891373 | 0.445686 | − | 0.895189i | \(-0.352960\pi\) | ||||
0.445686 | + | 0.895189i | \(0.352960\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 4528.00 | 0.144705 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −176.000 | −0.00560761 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 28514.0 | 0.905765 | 0.452882 | − | 0.891570i | \(-0.350396\pi\) | ||||
0.452882 | + | 0.891570i | \(0.350396\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −24624.0 | −0.779849 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))