Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,4,Mod(1,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([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("150.1");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.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: | \(8.85028650086\) |
Analytic rank: | \(0\) |
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 | \(\chi\) | \(=\) | 150.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.00000 | 0.707107 | ||||||||
\(3\) | 3.00000 | 0.577350 | ||||||||
\(4\) | 4.00000 | 0.500000 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 6.00000 | 0.408248 | ||||||||
\(7\) | 16.0000 | 0.863919 | 0.431959 | − | 0.901893i | \(-0.357822\pi\) | ||||
0.431959 | + | 0.901893i | \(0.357822\pi\) | |||||||
\(8\) | 8.00000 | 0.353553 | ||||||||
\(9\) | 9.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 12.0000 | 0.328921 | 0.164461 | − | 0.986384i | \(-0.447412\pi\) | ||||
0.164461 | + | 0.986384i | \(0.447412\pi\) | |||||||
\(12\) | 12.0000 | 0.288675 | ||||||||
\(13\) | −38.0000 | −0.810716 | −0.405358 | − | 0.914158i | \(-0.632853\pi\) | ||||
−0.405358 | + | 0.914158i | \(0.632853\pi\) | |||||||
\(14\) | 32.0000 | 0.610883 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 16.0000 | 0.250000 | ||||||||
\(17\) | 126.000 | 1.79762 | 0.898808 | − | 0.438342i | \(-0.144434\pi\) | ||||
0.898808 | + | 0.438342i | \(0.144434\pi\) | |||||||
\(18\) | 18.0000 | 0.235702 | ||||||||
\(19\) | 20.0000 | 0.241490 | 0.120745 | − | 0.992684i | \(-0.461472\pi\) | ||||
0.120745 | + | 0.992684i | \(0.461472\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 48.0000 | 0.498784 | ||||||||
\(22\) | 24.0000 | 0.232583 | ||||||||
\(23\) | −168.000 | −1.52306 | −0.761531 | − | 0.648129i | \(-0.775552\pi\) | ||||
−0.761531 | + | 0.648129i | \(0.775552\pi\) | |||||||
\(24\) | 24.0000 | 0.204124 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −76.0000 | −0.573263 | ||||||||
\(27\) | 27.0000 | 0.192450 | ||||||||
\(28\) | 64.0000 | 0.431959 | ||||||||
\(29\) | 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 | \(-0.582050\pi\) | ||||
−0.254924 | + | 0.966961i | \(0.582050\pi\) | |||||||
\(32\) | 32.0000 | 0.176777 | ||||||||
\(33\) | 36.0000 | 0.189903 | ||||||||
\(34\) | 252.000 | 1.27111 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 36.0000 | 0.166667 | ||||||||
\(37\) | −254.000 | −1.12858 | −0.564288 | − | 0.825578i | \(-0.690849\pi\) | ||||
−0.564288 | + | 0.825578i | \(0.690849\pi\) | |||||||
\(38\) | 40.0000 | 0.170759 | ||||||||
\(39\) | −114.000 | −0.468067 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 42.0000 | 0.159983 | 0.0799914 | − | 0.996796i | \(-0.474511\pi\) | ||||
0.0799914 | + | 0.996796i | \(0.474511\pi\) | |||||||
\(42\) | 96.0000 | 0.352693 | ||||||||
\(43\) | 52.0000 | 0.184417 | 0.0922084 | − | 0.995740i | \(-0.470607\pi\) | ||||
0.0922084 | + | 0.995740i | \(0.470607\pi\) | |||||||
\(44\) | 48.0000 | 0.164461 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −336.000 | −1.07697 | ||||||||
\(47\) | 96.0000 | 0.297937 | 0.148969 | − | 0.988842i | \(-0.452405\pi\) | ||||
0.148969 | + | 0.988842i | \(0.452405\pi\) | |||||||
\(48\) | 48.0000 | 0.144338 | ||||||||
\(49\) | −87.0000 | −0.253644 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 378.000 | 1.03785 | ||||||||
\(52\) | −152.000 | −0.405358 | ||||||||
\(53\) | −198.000 | −0.513158 | −0.256579 | − | 0.966523i | \(-0.582595\pi\) | ||||
−0.256579 | + | 0.966523i | \(0.582595\pi\) | |||||||
\(54\) | 54.0000 | 0.136083 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 128.000 | 0.305441 | ||||||||
\(57\) | 60.0000 | 0.139424 | ||||||||
\(58\) | 60.0000 | 0.135834 | ||||||||
\(59\) | −660.000 | −1.45635 | −0.728175 | − | 0.685391i | \(-0.759631\pi\) | ||||
−0.728175 | + | 0.685391i | \(0.759631\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −538.000 | −1.12924 | −0.564622 | − | 0.825350i | \(-0.690978\pi\) | ||||
−0.564622 | + | 0.825350i | \(0.690978\pi\) | |||||||
\(62\) | −176.000 | −0.360516 | ||||||||
\(63\) | 144.000 | 0.287973 | ||||||||
\(64\) | 64.0000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 72.0000 | 0.134282 | ||||||||
\(67\) | −884.000 | −1.61191 | −0.805954 | − | 0.591979i | \(-0.798347\pi\) | ||||
−0.805954 | + | 0.591979i | \(0.798347\pi\) | |||||||
\(68\) | 504.000 | 0.898808 | ||||||||
\(69\) | −504.000 | −0.879340 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 792.000 | 1.32385 | 0.661923 | − | 0.749572i | \(-0.269740\pi\) | ||||
0.661923 | + | 0.749572i | \(0.269740\pi\) | |||||||
\(72\) | 72.0000 | 0.117851 | ||||||||
\(73\) | −218.000 | −0.349520 | −0.174760 | − | 0.984611i | \(-0.555915\pi\) | ||||
−0.174760 | + | 0.984611i | \(0.555915\pi\) | |||||||
\(74\) | −508.000 | −0.798024 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 80.0000 | 0.120745 | ||||||||
\(77\) | 192.000 | 0.284161 | ||||||||
\(78\) | −228.000 | −0.330973 | ||||||||
\(79\) | −520.000 | −0.740564 | −0.370282 | − | 0.928919i | \(-0.620739\pi\) | ||||
−0.370282 | + | 0.928919i | \(0.620739\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 81.0000 | 0.111111 | ||||||||
\(82\) | 84.0000 | 0.113125 | ||||||||
\(83\) | 492.000 | 0.650651 | 0.325325 | − | 0.945602i | \(-0.394526\pi\) | ||||
0.325325 | + | 0.945602i | \(0.394526\pi\) | |||||||
\(84\) | 192.000 | 0.249392 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 104.000 | 0.130402 | ||||||||
\(87\) | 90.0000 | 0.110908 | ||||||||
\(88\) | 96.0000 | 0.116291 | ||||||||
\(89\) | 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 | ||||||||
\(92\) | −672.000 | −0.761531 | ||||||||
\(93\) | −264.000 | −0.294360 | ||||||||
\(94\) | 192.000 | 0.210673 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 96.0000 | 0.102062 | ||||||||
\(97\) | −1154.00 | −1.20795 | −0.603974 | − | 0.797004i | \(-0.706417\pi\) | ||||
−0.603974 | + | 0.797004i | \(0.706417\pi\) | |||||||
\(98\) | −174.000 | −0.179354 | ||||||||
\(99\) | 108.000 | 0.109640 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −618.000 | −0.608845 | −0.304422 | − | 0.952537i | \(-0.598463\pi\) | ||||
−0.304422 | + | 0.952537i | \(0.598463\pi\) | |||||||
\(102\) | 756.000 | 0.733874 | ||||||||
\(103\) | −128.000 | −0.122449 | −0.0612243 | − | 0.998124i | \(-0.519501\pi\) | ||||
−0.0612243 | + | 0.998124i | \(0.519501\pi\) | |||||||
\(104\) | −304.000 | −0.286631 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −396.000 | −0.362858 | ||||||||
\(107\) | 1476.00 | 1.33355 | 0.666777 | − | 0.745257i | \(-0.267673\pi\) | ||||
0.666777 | + | 0.745257i | \(0.267673\pi\) | |||||||
\(108\) | 108.000 | 0.0962250 | ||||||||
\(109\) | 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 | ||||||||
\(112\) | 256.000 | 0.215980 | ||||||||
\(113\) | 462.000 | 0.384613 | 0.192307 | − | 0.981335i | \(-0.438403\pi\) | ||||
0.192307 | + | 0.981335i | \(0.438403\pi\) | |||||||
\(114\) | 120.000 | 0.0985880 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 120.000 | 0.0960493 | ||||||||
\(117\) | −342.000 | −0.270239 | ||||||||
\(118\) | −1320.00 | −1.02980 | ||||||||
\(119\) | 2016.00 | 1.55300 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1187.00 | −0.891811 | ||||||||
\(122\) | −1076.00 | −0.798496 | ||||||||
\(123\) | 126.000 | 0.0923662 | ||||||||
\(124\) | −352.000 | −0.254924 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 288.000 | 0.203628 | ||||||||
\(127\) | 2536.00 | 1.77192 | 0.885959 | − | 0.463763i | \(-0.153501\pi\) | ||||
0.885959 | + | 0.463763i | \(0.153501\pi\) | |||||||
\(128\) | 128.000 | 0.0883883 | ||||||||
\(129\) | 156.000 | 0.106473 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2292.00 | 1.52865 | 0.764324 | − | 0.644832i | \(-0.223073\pi\) | ||||
0.764324 | + | 0.644832i | \(0.223073\pi\) | |||||||
\(132\) | 144.000 | 0.0949514 | ||||||||
\(133\) | 320.000 | 0.208628 | ||||||||
\(134\) | −1768.00 | −1.13979 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1008.00 | 0.635554 | ||||||||
\(137\) | 726.000 | 0.452747 | 0.226374 | − | 0.974041i | \(-0.427313\pi\) | ||||
0.226374 | + | 0.974041i | \(0.427313\pi\) | |||||||
\(138\) | −1008.00 | −0.621787 | ||||||||
\(139\) | 380.000 | 0.231879 | 0.115939 | − | 0.993256i | \(-0.463012\pi\) | ||||
0.115939 | + | 0.993256i | \(0.463012\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 288.000 | 0.172014 | ||||||||
\(142\) | 1584.00 | 0.936101 | ||||||||
\(143\) | −456.000 | −0.266662 | ||||||||
\(144\) | 144.000 | 0.0833333 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −436.000 | −0.247148 | ||||||||
\(147\) | −261.000 | −0.146442 | ||||||||
\(148\) | −1016.00 | −0.564288 | ||||||||
\(149\) | 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 | \(-0.272524\pi\) | ||||
0.655342 | + | 0.755332i | \(0.272524\pi\) | |||||||
\(152\) | 160.000 | 0.0853797 | ||||||||
\(153\) | 1134.00 | 0.599206 | ||||||||
\(154\) | 384.000 | 0.200932 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −456.000 | −0.234033 | ||||||||
\(157\) | −614.000 | −0.312118 | −0.156059 | − | 0.987748i | \(-0.549879\pi\) | ||||
−0.156059 | + | 0.987748i | \(0.549879\pi\) | |||||||
\(158\) | −1040.00 | −0.523658 | ||||||||
\(159\) | −594.000 | −0.296272 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2688.00 | −1.31580 | ||||||||
\(162\) | 162.000 | 0.0785674 | ||||||||
\(163\) | 1852.00 | 0.889938 | 0.444969 | − | 0.895546i | \(-0.353215\pi\) | ||||
0.444969 | + | 0.895546i | \(0.353215\pi\) | |||||||
\(164\) | 168.000 | 0.0799914 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 984.000 | 0.460080 | ||||||||
\(167\) | 2136.00 | 0.989752 | 0.494876 | − | 0.868964i | \(-0.335213\pi\) | ||||
0.494876 | + | 0.868964i | \(0.335213\pi\) | |||||||
\(168\) | 384.000 | 0.176347 | ||||||||
\(169\) | −753.000 | −0.342740 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 180.000 | 0.0804967 | ||||||||
\(172\) | 208.000 | 0.0922084 | ||||||||
\(173\) | −1758.00 | −0.772591 | −0.386296 | − | 0.922375i | \(-0.626246\pi\) | ||||
−0.386296 | + | 0.922375i | \(0.626246\pi\) | |||||||
\(174\) | 180.000 | 0.0784239 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 192.000 | 0.0822304 | ||||||||
\(177\) | −1980.00 | −0.840824 | ||||||||
\(178\) | 1620.00 | 0.682158 | ||||||||
\(179\) | −540.000 | −0.225483 | −0.112742 | − | 0.993624i | \(-0.535963\pi\) | ||||
−0.112742 | + | 0.993624i | \(0.535963\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1982.00 | 0.813928 | 0.406964 | − | 0.913444i | \(-0.366588\pi\) | ||||
0.406964 | + | 0.913444i | \(0.366588\pi\) | |||||||
\(182\) | −1216.00 | −0.495252 | ||||||||
\(183\) | −1614.00 | −0.651969 | ||||||||
\(184\) | −1344.00 | −0.538484 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −528.000 | −0.208144 | ||||||||
\(187\) | 1512.00 | 0.591275 | ||||||||
\(188\) | 384.000 | 0.148969 | ||||||||
\(189\) | 432.000 | 0.166261 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −2688.00 | −1.01831 | −0.509154 | − | 0.860675i | \(-0.670042\pi\) | ||||
−0.509154 | + | 0.860675i | \(0.670042\pi\) | |||||||
\(192\) | 192.000 | 0.0721688 | ||||||||
\(193\) | 2302.00 | 0.858557 | 0.429279 | − | 0.903172i | \(-0.358768\pi\) | ||||
0.429279 | + | 0.903172i | \(0.358768\pi\) | |||||||
\(194\) | −2308.00 | −0.854148 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −348.000 | −0.126822 | ||||||||
\(197\) | −4374.00 | −1.58190 | −0.790951 | − | 0.611880i | \(-0.790414\pi\) | ||||
−0.790951 | + | 0.611880i | \(0.790414\pi\) | |||||||
\(198\) | 216.000 | 0.0775275 | ||||||||
\(199\) | −1600.00 | −0.569955 | −0.284977 | − | 0.958534i | \(-0.591986\pi\) | ||||
−0.284977 | + | 0.958534i | \(0.591986\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2652.00 | −0.930635 | ||||||||
\(202\) | −1236.00 | −0.430518 | ||||||||
\(203\) | 480.000 | 0.165958 | ||||||||
\(204\) | 1512.00 | 0.518927 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −256.000 | −0.0865843 | ||||||||
\(207\) | −1512.00 | −0.507687 | ||||||||
\(208\) | −608.000 | −0.202679 | ||||||||
\(209\) | 240.000 | 0.0794313 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3332.00 | 1.08713 | 0.543565 | − | 0.839367i | \(-0.317074\pi\) | ||||
0.543565 | + | 0.839367i | \(0.317074\pi\) | |||||||
\(212\) | −792.000 | −0.256579 | ||||||||
\(213\) | 2376.00 | 0.764323 | ||||||||
\(214\) | 2952.00 | 0.942965 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 216.000 | 0.0680414 | ||||||||
\(217\) | −1408.00 | −0.440467 | ||||||||
\(218\) | 2380.00 | 0.739422 | ||||||||
\(219\) | −654.000 | −0.201796 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4788.00 | −1.45736 | ||||||||
\(222\) | −1524.00 | −0.460740 | ||||||||
\(223\) | −2648.00 | −0.795171 | −0.397586 | − | 0.917565i | \(-0.630152\pi\) | ||||
−0.397586 | + | 0.917565i | \(0.630152\pi\) | |||||||
\(224\) | 512.000 | 0.152721 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 924.000 | 0.271963 | ||||||||
\(227\) | −2244.00 | −0.656121 | −0.328061 | − | 0.944657i | \(-0.606395\pi\) | ||||
−0.328061 | + | 0.944657i | \(0.606395\pi\) | |||||||
\(228\) | 240.000 | 0.0697122 | ||||||||
\(229\) | −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 | ||||||||
\(232\) | 240.000 | 0.0679171 | ||||||||
\(233\) | −4698.00 | −1.32093 | −0.660464 | − | 0.750858i | \(-0.729640\pi\) | ||||
−0.660464 | + | 0.750858i | \(0.729640\pi\) | |||||||
\(234\) | −684.000 | −0.191088 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −2640.00 | −0.728175 | ||||||||
\(237\) | −1560.00 | −0.427565 | ||||||||
\(238\) | 4032.00 | 1.09813 | ||||||||
\(239\) | −1200.00 | −0.324776 | −0.162388 | − | 0.986727i | \(-0.551920\pi\) | ||||
−0.162388 | + | 0.986727i | \(0.551920\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −718.000 | −0.191911 | −0.0959553 | − | 0.995386i | \(-0.530591\pi\) | ||||
−0.0959553 | + | 0.995386i | \(0.530591\pi\) | |||||||
\(242\) | −2374.00 | −0.630605 | ||||||||
\(243\) | 243.000 | 0.0641500 | ||||||||
\(244\) | −2152.00 | −0.564622 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 252.000 | 0.0653127 | ||||||||
\(247\) | −760.000 | −0.195780 | ||||||||
\(248\) | −704.000 | −0.180258 | ||||||||
\(249\) | 1476.00 | 0.375653 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6012.00 | 1.51185 | 0.755924 | − | 0.654659i | \(-0.227188\pi\) | ||||
0.755924 | + | 0.654659i | \(0.227188\pi\) | |||||||
\(252\) | 576.000 | 0.143986 | ||||||||
\(253\) | −2016.00 | −0.500968 | ||||||||
\(254\) | 5072.00 | 1.25294 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 256.000 | 0.0625000 | ||||||||
\(257\) | 2046.00 | 0.496599 | 0.248300 | − | 0.968683i | \(-0.420128\pi\) | ||||
0.248300 | + | 0.968683i | \(0.420128\pi\) | |||||||
\(258\) | 312.000 | 0.0752879 | ||||||||
\(259\) | −4064.00 | −0.974999 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 270.000 | 0.0640329 | ||||||||
\(262\) | 4584.00 | 1.08092 | ||||||||
\(263\) | 6072.00 | 1.42363 | 0.711817 | − | 0.702365i | \(-0.247873\pi\) | ||||
0.711817 | + | 0.702365i | \(0.247873\pi\) | |||||||
\(264\) | 288.000 | 0.0671408 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 640.000 | 0.147522 | ||||||||
\(267\) | 2430.00 | 0.556980 | ||||||||
\(268\) | −3536.00 | −0.805954 | ||||||||
\(269\) | −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 | \(-0.451581\pi\) | ||||
0.151528 | + | 0.988453i | \(0.451581\pi\) | |||||||
\(272\) | 2016.00 | 0.449404 | ||||||||
\(273\) | −1824.00 | −0.404372 | ||||||||
\(274\) | 1452.00 | 0.320141 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −2016.00 | −0.439670 | ||||||||
\(277\) | 1186.00 | 0.257256 | 0.128628 | − | 0.991693i | \(-0.458943\pi\) | ||||
0.128628 | + | 0.991693i | \(0.458943\pi\) | |||||||
\(278\) | 760.000 | 0.163963 | ||||||||
\(279\) | −792.000 | −0.169949 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2442.00 | 0.518425 | 0.259213 | − | 0.965820i | \(-0.416537\pi\) | ||||
0.259213 | + | 0.965820i | \(0.416537\pi\) | |||||||
\(282\) | 576.000 | 0.121632 | ||||||||
\(283\) | −2828.00 | −0.594018 | −0.297009 | − | 0.954875i | \(-0.595989\pi\) | ||||
−0.297009 | + | 0.954875i | \(0.595989\pi\) | |||||||
\(284\) | 3168.00 | 0.661923 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −912.000 | −0.188558 | ||||||||
\(287\) | 672.000 | 0.138212 | ||||||||
\(288\) | 288.000 | 0.0589256 | ||||||||
\(289\) | 10963.0 | 2.23143 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3462.00 | −0.697409 | ||||||||
\(292\) | −872.000 | −0.174760 | ||||||||
\(293\) | −4758.00 | −0.948687 | −0.474344 | − | 0.880340i | \(-0.657315\pi\) | ||||
−0.474344 | + | 0.880340i | \(0.657315\pi\) | |||||||
\(294\) | −522.000 | −0.103550 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −2032.00 | −0.399012 | ||||||||
\(297\) | 324.000 | 0.0633010 | ||||||||
\(298\) | 3180.00 | 0.618163 | ||||||||
\(299\) | 6384.00 | 1.23477 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 832.000 | 0.159321 | ||||||||
\(302\) | 4864.00 | 0.926794 | ||||||||
\(303\) | −1854.00 | −0.351517 | ||||||||
\(304\) | 320.000 | 0.0603726 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 2268.00 | 0.423702 | ||||||||
\(307\) | 8476.00 | 1.57574 | 0.787868 | − | 0.615844i | \(-0.211185\pi\) | ||||
0.787868 | + | 0.615844i | \(0.211185\pi\) | |||||||
\(308\) | 768.000 | 0.142081 | ||||||||
\(309\) | −384.000 | −0.0706958 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4632.00 | 0.844555 | 0.422278 | − | 0.906467i | \(-0.361231\pi\) | ||||
0.422278 | + | 0.906467i | \(0.361231\pi\) | |||||||
\(312\) | −912.000 | −0.165487 | ||||||||
\(313\) | 4822.00 | 0.870785 | 0.435392 | − | 0.900241i | \(-0.356610\pi\) | ||||
0.435392 | + | 0.900241i | \(0.356610\pi\) | |||||||
\(314\) | −1228.00 | −0.220701 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2080.00 | −0.370282 | ||||||||
\(317\) | 3426.00 | 0.607014 | 0.303507 | − | 0.952829i | \(-0.401842\pi\) | ||||
0.303507 | + | 0.952829i | \(0.401842\pi\) | |||||||
\(318\) | −1188.00 | −0.209496 | ||||||||
\(319\) | 360.000 | 0.0631854 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4428.00 | 0.769928 | ||||||||
\(322\) | −5376.00 | −0.930412 | ||||||||
\(323\) | 2520.00 | 0.434107 | ||||||||
\(324\) | 324.000 | 0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 3704.00 | 0.629281 | ||||||||
\(327\) | 3570.00 | 0.603735 | ||||||||
\(328\) | 336.000 | 0.0565625 | ||||||||
\(329\) | 1536.00 | 0.257393 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2788.00 | −0.462968 | −0.231484 | − | 0.972839i | \(-0.574358\pi\) | ||||
−0.231484 | + | 0.972839i | \(0.574358\pi\) | |||||||
\(332\) | 1968.00 | 0.325325 | ||||||||
\(333\) | −2286.00 | −0.376192 | ||||||||
\(334\) | 4272.00 | 0.699861 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 768.000 | 0.124696 | ||||||||
\(337\) | −434.000 | −0.0701528 | −0.0350764 | − | 0.999385i | \(-0.511167\pi\) | ||||
−0.0350764 | + | 0.999385i | \(0.511167\pi\) | |||||||
\(338\) | −1506.00 | −0.242354 | ||||||||
\(339\) | 1386.00 | 0.222057 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1056.00 | −0.167700 | ||||||||
\(342\) | 360.000 | 0.0569198 | ||||||||
\(343\) | −6880.00 | −1.08305 | ||||||||
\(344\) | 416.000 | 0.0652012 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3516.00 | −0.546304 | ||||||||
\(347\) | −6684.00 | −1.03405 | −0.517026 | − | 0.855970i | \(-0.672961\pi\) | ||||
−0.517026 | + | 0.855970i | \(0.672961\pi\) | |||||||
\(348\) | 360.000 | 0.0554541 | ||||||||
\(349\) | 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 | ||||||||
\(352\) | 384.000 | 0.0581456 | ||||||||
\(353\) | 7422.00 | 1.11907 | 0.559537 | − | 0.828805i | \(-0.310979\pi\) | ||||
0.559537 | + | 0.828805i | \(0.310979\pi\) | |||||||
\(354\) | −3960.00 | −0.594553 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 3240.00 | 0.482359 | ||||||||
\(357\) | 6048.00 | 0.896622 | ||||||||
\(358\) | −1080.00 | −0.159441 | ||||||||
\(359\) | −10440.0 | −1.53482 | −0.767412 | − | 0.641154i | \(-0.778456\pi\) | ||||
−0.767412 | + | 0.641154i | \(0.778456\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6459.00 | −0.941682 | ||||||||
\(362\) | 3964.00 | 0.575534 | ||||||||
\(363\) | −3561.00 | −0.514887 | ||||||||
\(364\) | −2432.00 | −0.350196 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −3228.00 | −0.461012 | ||||||||
\(367\) | −10424.0 | −1.48264 | −0.741319 | − | 0.671153i | \(-0.765800\pi\) | ||||
−0.741319 | + | 0.671153i | \(0.765800\pi\) | |||||||
\(368\) | −2688.00 | −0.380765 | ||||||||
\(369\) | 378.000 | 0.0533276 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3168.00 | −0.443327 | ||||||||
\(372\) | −1056.00 | −0.147180 | ||||||||
\(373\) | −3278.00 | −0.455036 | −0.227518 | − | 0.973774i | \(-0.573061\pi\) | ||||
−0.227518 | + | 0.973774i | \(0.573061\pi\) | |||||||
\(374\) | 3024.00 | 0.418094 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 768.000 | 0.105337 | ||||||||
\(377\) | −1140.00 | −0.155737 | ||||||||
\(378\) | 864.000 | 0.117564 | ||||||||
\(379\) | 6140.00 | 0.832165 | 0.416083 | − | 0.909327i | \(-0.363403\pi\) | ||||
0.416083 | + | 0.909327i | \(0.363403\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7608.00 | 1.02302 | ||||||||
\(382\) | −5376.00 | −0.720053 | ||||||||
\(383\) | 3072.00 | 0.409848 | 0.204924 | − | 0.978778i | \(-0.434305\pi\) | ||||
0.204924 | + | 0.978778i | \(0.434305\pi\) | |||||||
\(384\) | 384.000 | 0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4604.00 | 0.607092 | ||||||||
\(387\) | 468.000 | 0.0614723 | ||||||||
\(388\) | −4616.00 | −0.603974 | ||||||||
\(389\) | 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 | ||||||||
\(392\) | −696.000 | −0.0896768 | ||||||||
\(393\) | 6876.00 | 0.882566 | ||||||||
\(394\) | −8748.00 | −1.11857 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 432.000 | 0.0548202 | ||||||||
\(397\) | 106.000 | 0.0134005 | 0.00670024 | − | 0.999978i | \(-0.497867\pi\) | ||||
0.00670024 | + | 0.999978i | \(0.497867\pi\) | |||||||
\(398\) | −3200.00 | −0.403019 | ||||||||
\(399\) | 960.000 | 0.120451 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −1758.00 | −0.218929 | −0.109464 | − | 0.993991i | \(-0.534914\pi\) | ||||
−0.109464 | + | 0.993991i | \(0.534914\pi\) | |||||||
\(402\) | −5304.00 | −0.658058 | ||||||||
\(403\) | 3344.00 | 0.413341 | ||||||||
\(404\) | −2472.00 | −0.304422 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 960.000 | 0.117350 | ||||||||
\(407\) | −3048.00 | −0.371213 | ||||||||
\(408\) | 3024.00 | 0.366937 | ||||||||
\(409\) | −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 | ||||||||
\(412\) | −512.000 | −0.0612243 | ||||||||
\(413\) | −10560.0 | −1.25817 | ||||||||
\(414\) | −3024.00 | −0.358989 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1216.00 | −0.143316 | ||||||||
\(417\) | 1140.00 | 0.133875 | ||||||||
\(418\) | 480.000 | 0.0561664 | ||||||||
\(419\) | −9660.00 | −1.12631 | −0.563153 | − | 0.826353i | \(-0.690412\pi\) | ||||
−0.563153 | + | 0.826353i | \(0.690412\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8462.00 | 0.979602 | 0.489801 | − | 0.871834i | \(-0.337069\pi\) | ||||
0.489801 | + | 0.871834i | \(0.337069\pi\) | |||||||
\(422\) | 6664.00 | 0.768717 | ||||||||
\(423\) | 864.000 | 0.0993123 | ||||||||
\(424\) | −1584.00 | −0.181429 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 4752.00 | 0.540458 | ||||||||
\(427\) | −8608.00 | −0.975575 | ||||||||
\(428\) | 5904.00 | 0.666777 | ||||||||
\(429\) | −1368.00 | −0.153957 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 9792.00 | 1.09435 | 0.547174 | − | 0.837019i | \(-0.315704\pi\) | ||||
0.547174 | + | 0.837019i | \(0.315704\pi\) | |||||||
\(432\) | 432.000 | 0.0481125 | ||||||||
\(433\) | 7342.00 | 0.814859 | 0.407430 | − | 0.913237i | \(-0.366425\pi\) | ||||
0.407430 | + | 0.913237i | \(0.366425\pi\) | |||||||
\(434\) | −2816.00 | −0.311457 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4760.00 | 0.522850 | ||||||||
\(437\) | −3360.00 | −0.367805 | ||||||||
\(438\) | −1308.00 | −0.142691 | ||||||||
\(439\) | 10640.0 | 1.15676 | 0.578382 | − | 0.815766i | \(-0.303684\pi\) | ||||
0.578382 | + | 0.815766i | \(0.303684\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −783.000 | −0.0845481 | ||||||||
\(442\) | −9576.00 | −1.03051 | ||||||||
\(443\) | 17412.0 | 1.86742 | 0.933712 | − | 0.358024i | \(-0.116549\pi\) | ||||
0.933712 | + | 0.358024i | \(0.116549\pi\) | |||||||
\(444\) | −3048.00 | −0.325792 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −5296.00 | −0.562271 | ||||||||
\(447\) | 4770.00 | 0.504728 | ||||||||
\(448\) | 1024.00 | 0.107990 | ||||||||
\(449\) | −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 | ||||||||
\(452\) | 1848.00 | 0.192307 | ||||||||
\(453\) | 7296.00 | 0.756724 | ||||||||
\(454\) | −4488.00 | −0.463948 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 480.000 | 0.0492940 | ||||||||
\(457\) | 646.000 | 0.0661239 | 0.0330619 | − | 0.999453i | \(-0.489474\pi\) | ||||
0.0330619 | + | 0.999453i | \(0.489474\pi\) | |||||||
\(458\) | −11300.0 | −1.15287 | ||||||||
\(459\) | 3402.00 | 0.345952 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −6018.00 | −0.607996 | −0.303998 | − | 0.952673i | \(-0.598322\pi\) | ||||
−0.303998 | + | 0.952673i | \(0.598322\pi\) | |||||||
\(462\) | 1152.00 | 0.116008 | ||||||||
\(463\) | 6712.00 | 0.673722 | 0.336861 | − | 0.941554i | \(-0.390635\pi\) | ||||
0.336861 | + | 0.941554i | \(0.390635\pi\) | |||||||
\(464\) | 480.000 | 0.0480247 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9396.00 | −0.934037 | ||||||||
\(467\) | −5364.00 | −0.531512 | −0.265756 | − | 0.964040i | \(-0.585622\pi\) | ||||
−0.265756 | + | 0.964040i | \(0.585622\pi\) | |||||||
\(468\) | −1368.00 | −0.135119 | ||||||||
\(469\) | −14144.0 | −1.39256 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1842.00 | −0.180201 | ||||||||
\(472\) | −5280.00 | −0.514898 | ||||||||
\(473\) | 624.000 | 0.0606587 | ||||||||
\(474\) | −3120.00 | −0.302334 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 8064.00 | 0.776498 | ||||||||
\(477\) | −1782.00 | −0.171053 | ||||||||
\(478\) | −2400.00 | −0.229652 | ||||||||
\(479\) | 9840.00 | 0.938624 | 0.469312 | − | 0.883032i | \(-0.344502\pi\) | ||||
0.469312 | + | 0.883032i | \(0.344502\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9652.00 | 0.914955 | ||||||||
\(482\) | −1436.00 | −0.135701 | ||||||||
\(483\) | −8064.00 | −0.759678 | ||||||||
\(484\) | −4748.00 | −0.445905 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 486.000 | 0.0453609 | ||||||||
\(487\) | −1424.00 | −0.132500 | −0.0662501 | − | 0.997803i | \(-0.521104\pi\) | ||||
−0.0662501 | + | 0.997803i | \(0.521104\pi\) | |||||||
\(488\) | −4304.00 | −0.399248 | ||||||||
\(489\) | 5556.00 | 0.513806 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −4548.00 | −0.418021 | −0.209011 | − | 0.977913i | \(-0.567024\pi\) | ||||
−0.209011 | + | 0.977913i | \(0.567024\pi\) | |||||||
\(492\) | 504.000 | 0.0461831 | ||||||||
\(493\) | 3780.00 | 0.345320 | ||||||||
\(494\) | −1520.00 | −0.138437 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1408.00 | −0.127462 | ||||||||
\(497\) | 12672.0 | 1.14370 | ||||||||
\(498\) | 2952.00 | 0.265627 | ||||||||
\(499\) | 6500.00 | 0.583126 | 0.291563 | − | 0.956552i | \(-0.405825\pi\) | ||||
0.291563 | + | 0.956552i | \(0.405825\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 6408.00 | 0.571434 | ||||||||
\(502\) | 12024.0 | 1.06904 | ||||||||
\(503\) | −12168.0 | −1.07862 | −0.539308 | − | 0.842108i | \(-0.681314\pi\) | ||||
−0.539308 | + | 0.842108i | \(0.681314\pi\) | |||||||
\(504\) | 1152.00 | 0.101814 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −4032.00 | −0.354238 | ||||||||
\(507\) | −2259.00 | −0.197881 | ||||||||
\(508\) | 10144.0 | 0.885959 | ||||||||
\(509\) | −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 | ||||||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | 540.000 | 0.0464748 | ||||||||
\(514\) | 4092.00 | 0.351149 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 624.000 | 0.0532366 | ||||||||
\(517\) | 1152.00 | 0.0979979 | ||||||||
\(518\) | −8128.00 | −0.689428 | ||||||||
\(519\) | −5274.00 | −0.446056 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5238.00 | −0.440462 | −0.220231 | − | 0.975448i | \(-0.570681\pi\) | ||||
−0.220231 | + | 0.975448i | \(0.570681\pi\) | |||||||
\(522\) | 540.000 | 0.0452781 | ||||||||
\(523\) | −8588.00 | −0.718025 | −0.359012 | − | 0.933333i | \(-0.616886\pi\) | ||||
−0.359012 | + | 0.933333i | \(0.616886\pi\) | |||||||
\(524\) | 9168.00 | 0.764324 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12144.0 | 1.00666 | ||||||||
\(527\) | −11088.0 | −0.916510 | ||||||||
\(528\) | 576.000 | 0.0474757 | ||||||||
\(529\) | 16057.0 | 1.31972 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −5940.00 | −0.485450 | ||||||||
\(532\) | 1280.00 | 0.104314 | ||||||||
\(533\) | −1596.00 | −0.129701 | ||||||||
\(534\) | 4860.00 | 0.393844 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −7072.00 | −0.569895 | ||||||||
\(537\) | −1620.00 | −0.130183 | ||||||||
\(538\) | −13860.0 | −1.11068 | ||||||||
\(539\) | −1044.00 | −0.0834291 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3062.00 | 0.243338 | 0.121669 | − | 0.992571i | \(-0.461175\pi\) | ||||
0.121669 | + | 0.992571i | \(0.461175\pi\) | |||||||
\(542\) | 2704.00 | 0.214293 | ||||||||
\(543\) | 5946.00 | 0.469921 | ||||||||
\(544\) | 4032.00 | 0.317777 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −3648.00 | −0.285934 | ||||||||
\(547\) | 8476.00 | 0.662537 | 0.331268 | − | 0.943537i | \(-0.392523\pi\) | ||||
0.331268 | + | 0.943537i | \(0.392523\pi\) | |||||||
\(548\) | 2904.00 | 0.226374 | ||||||||
\(549\) | −4842.00 | −0.376414 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 600.000 | 0.0463899 | ||||||||
\(552\) | −4032.00 | −0.310894 | ||||||||
\(553\) | −8320.00 | −0.639787 | ||||||||
\(554\) | 2372.00 | 0.181907 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1520.00 | 0.115939 | ||||||||
\(557\) | 12546.0 | 0.954383 | 0.477191 | − | 0.878799i | \(-0.341655\pi\) | ||||
0.477191 | + | 0.878799i | \(0.341655\pi\) | |||||||
\(558\) | −1584.00 | −0.120172 | ||||||||
\(559\) | −1976.00 | −0.149510 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4536.00 | 0.341373 | ||||||||
\(562\) | 4884.00 | 0.366582 | ||||||||
\(563\) | 12.0000 | 0.000898294 0 | 0.000449147 | − | 1.00000i | \(-0.499857\pi\) | ||||
0.000449147 | 1.00000i | \(0.499857\pi\) | ||||||||
\(564\) | 1152.00 | 0.0860070 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −5656.00 | −0.420034 | ||||||||
\(567\) | 1296.00 | 0.0959910 | ||||||||
\(568\) | 6336.00 | 0.468050 | ||||||||
\(569\) | 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 | \(-0.646855\pi\) | ||||
−0.445165 | + | 0.895449i | \(0.646855\pi\) | |||||||
\(572\) | −1824.00 | −0.133331 | ||||||||
\(573\) | −8064.00 | −0.587920 | ||||||||
\(574\) | 1344.00 | 0.0977308 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 576.000 | 0.0416667 | ||||||||
\(577\) | 10366.0 | 0.747907 | 0.373953 | − | 0.927447i | \(-0.378002\pi\) | ||||
0.373953 | + | 0.927447i | \(0.378002\pi\) | |||||||
\(578\) | 21926.0 | 1.57786 | ||||||||
\(579\) | 6906.00 | 0.495688 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7872.00 | 0.562109 | ||||||||
\(582\) | −6924.00 | −0.493143 | ||||||||
\(583\) | −2376.00 | −0.168789 | ||||||||
\(584\) | −1744.00 | −0.123574 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9516.00 | −0.670823 | ||||||||
\(587\) | −7644.00 | −0.537482 | −0.268741 | − | 0.963213i | \(-0.586607\pi\) | ||||
−0.268741 | + | 0.963213i | \(0.586607\pi\) | |||||||
\(588\) | −1044.00 | −0.0732208 | ||||||||
\(589\) | −1760.00 | −0.123123 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −13122.0 | −0.913311 | ||||||||
\(592\) | −4064.00 | −0.282144 | ||||||||
\(593\) | −8658.00 | −0.599564 | −0.299782 | − | 0.954008i | \(-0.596914\pi\) | ||||
−0.299782 | + | 0.954008i | \(0.596914\pi\) | |||||||
\(594\) | 648.000 | 0.0447605 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 6360.00 | 0.437107 | ||||||||
\(597\) | −4800.00 | −0.329064 | ||||||||
\(598\) | 12768.0 | 0.873114 | ||||||||
\(599\) | 25800.0 | 1.75987 | 0.879933 | − | 0.475098i | \(-0.157587\pi\) | ||||
0.879933 | + | 0.475098i | \(0.157587\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 16202.0 | 1.09966 | 0.549828 | − | 0.835278i | \(-0.314693\pi\) | ||||
0.549828 | + | 0.835278i | \(0.314693\pi\) | |||||||
\(602\) | 1664.00 | 0.112657 | ||||||||
\(603\) | −7956.00 | −0.537302 | ||||||||
\(604\) | 9728.00 | 0.655342 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −3708.00 | −0.248560 | ||||||||
\(607\) | 24136.0 | 1.61392 | 0.806960 | − | 0.590605i | \(-0.201111\pi\) | ||||
0.806960 | + | 0.590605i | \(0.201111\pi\) | |||||||
\(608\) | 640.000 | 0.0426898 | ||||||||
\(609\) | 1440.00 | 0.0958157 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −3648.00 | −0.241542 | ||||||||
\(612\) | 4536.00 | 0.299603 | ||||||||
\(613\) | 4642.00 | 0.305854 | 0.152927 | − | 0.988237i | \(-0.451130\pi\) | ||||
0.152927 | + | 0.988237i | \(0.451130\pi\) | |||||||
\(614\) | 16952.0 | 1.11421 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1536.00 | 0.100466 | ||||||||
\(617\) | 6726.00 | 0.438863 | 0.219432 | − | 0.975628i | \(-0.429580\pi\) | ||||
0.219432 | + | 0.975628i | \(0.429580\pi\) | |||||||
\(618\) | −768.000 | −0.0499895 | ||||||||
\(619\) | −21220.0 | −1.37787 | −0.688937 | − | 0.724821i | \(-0.741922\pi\) | ||||
−0.688937 | + | 0.724821i | \(0.741922\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4536.00 | −0.293113 | ||||||||
\(622\) | 9264.00 | 0.597191 | ||||||||
\(623\) | 12960.0 | 0.833437 | ||||||||
\(624\) | −1824.00 | −0.117017 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 9644.00 | 0.615738 | ||||||||
\(627\) | 720.000 | 0.0458597 | ||||||||
\(628\) | −2456.00 | −0.156059 | ||||||||
\(629\) | −32004.0 | −2.02875 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 29792.0 | 1.87956 | 0.939779 | − | 0.341783i | \(-0.111031\pi\) | ||||
0.939779 | + | 0.341783i | \(0.111031\pi\) | |||||||
\(632\) | −4160.00 | −0.261829 | ||||||||
\(633\) | 9996.00 | 0.627655 | ||||||||
\(634\) | 6852.00 | 0.429223 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −2376.00 | −0.148136 | ||||||||
\(637\) | 3306.00 | 0.205633 | ||||||||
\(638\) | 720.000 | 0.0446788 | ||||||||
\(639\) | 7128.00 | 0.441282 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −10158.0 | −0.625923 | −0.312962 | − | 0.949766i | \(-0.601321\pi\) | ||||
−0.312962 | + | 0.949766i | \(0.601321\pi\) | |||||||
\(642\) | 8856.00 | 0.544421 | ||||||||
\(643\) | −29828.0 | −1.82940 | −0.914698 | − | 0.404138i | \(-0.867571\pi\) | ||||
−0.914698 | + | 0.404138i | \(0.867571\pi\) | |||||||
\(644\) | −10752.0 | −0.657901 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5040.00 | 0.306960 | ||||||||
\(647\) | −1944.00 | −0.118124 | −0.0590622 | − | 0.998254i | \(-0.518811\pi\) | ||||
−0.0590622 | + | 0.998254i | \(0.518811\pi\) | |||||||
\(648\) | 648.000 | 0.0392837 | ||||||||
\(649\) | −7920.00 | −0.479025 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4224.00 | −0.254304 | ||||||||
\(652\) | 7408.00 | 0.444969 | ||||||||
\(653\) | −26718.0 | −1.60116 | −0.800579 | − | 0.599227i | \(-0.795475\pi\) | ||||
−0.800579 | + | 0.599227i | \(0.795475\pi\) | |||||||
\(654\) | 7140.00 | 0.426905 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 672.000 | 0.0399957 | ||||||||
\(657\) | −1962.00 | −0.116507 | ||||||||
\(658\) | 3072.00 | 0.182005 | ||||||||
\(659\) | 4260.00 | 0.251815 | 0.125907 | − | 0.992042i | \(-0.459816\pi\) | ||||
0.125907 | + | 0.992042i | \(0.459816\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22862.0 | 1.34528 | 0.672639 | − | 0.739971i | \(-0.265161\pi\) | ||||
0.672639 | + | 0.739971i | \(0.265161\pi\) | |||||||
\(662\) | −5576.00 | −0.327368 | ||||||||
\(663\) | −14364.0 | −0.841405 | ||||||||
\(664\) | 3936.00 | 0.230040 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −4572.00 | −0.266008 | ||||||||
\(667\) | −5040.00 | −0.292578 | ||||||||
\(668\) | 8544.00 | 0.494876 | ||||||||
\(669\) | −7944.00 | −0.459092 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −6456.00 | −0.371432 | ||||||||
\(672\) | 1536.00 | 0.0881733 | ||||||||
\(673\) | 32542.0 | 1.86390 | 0.931948 | − | 0.362592i | \(-0.118108\pi\) | ||||
0.931948 | + | 0.362592i | \(0.118108\pi\) | |||||||
\(674\) | −868.000 | −0.0496055 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3012.00 | −0.171370 | ||||||||
\(677\) | −14214.0 | −0.806925 | −0.403463 | − | 0.914996i | \(-0.632193\pi\) | ||||
−0.403463 | + | 0.914996i | \(0.632193\pi\) | |||||||
\(678\) | 2772.00 | 0.157018 | ||||||||
\(679\) | −18464.0 | −1.04357 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −6732.00 | −0.378812 | ||||||||
\(682\) | −2112.00 | −0.118582 | ||||||||
\(683\) | 7092.00 | 0.397317 | 0.198659 | − | 0.980069i | \(-0.436341\pi\) | ||||
0.198659 | + | 0.980069i | \(0.436341\pi\) | |||||||
\(684\) | 720.000 | 0.0402484 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −13760.0 | −0.765830 | ||||||||
\(687\) | −16950.0 | −0.941314 | ||||||||
\(688\) | 832.000 | 0.0461042 | ||||||||
\(689\) | 7524.00 | 0.416026 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13228.0 | −0.728244 | −0.364122 | − | 0.931351i | \(-0.618631\pi\) | ||||
−0.364122 | + | 0.931351i | \(0.618631\pi\) | |||||||
\(692\) | −7032.00 | −0.386296 | ||||||||
\(693\) | 1728.00 | 0.0947205 | ||||||||
\(694\) | −13368.0 | −0.731185 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 720.000 | 0.0392120 | ||||||||
\(697\) | 5292.00 | 0.287588 | ||||||||
\(698\) | 5260.00 | 0.285235 | ||||||||
\(699\) | −14094.0 | −0.762638 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 28062.0 | 1.51196 | 0.755982 | − | 0.654592i | \(-0.227160\pi\) | ||||
0.755982 | + | 0.654592i | \(0.227160\pi\) | |||||||
\(702\) | −2052.00 | −0.110324 | ||||||||
\(703\) | −5080.00 | −0.272540 | ||||||||
\(704\) | 768.000 | 0.0411152 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 14844.0 | 0.791305 | ||||||||
\(707\) | −9888.00 | −0.525992 | ||||||||
\(708\) | −7920.00 | −0.420412 | ||||||||
\(709\) | −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 | ||||||||
\(712\) | 6480.00 | 0.341079 | ||||||||
\(713\) | 14784.0 | 0.776529 | ||||||||
\(714\) | 12096.0 | 0.634008 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −2160.00 | −0.112742 | ||||||||
\(717\) | −3600.00 | −0.187510 | ||||||||
\(718\) | −20880.0 | −1.08529 | ||||||||
\(719\) | −14400.0 | −0.746912 | −0.373456 | − | 0.927648i | \(-0.621827\pi\) | ||||
−0.373456 | + | 0.927648i | \(0.621827\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2048.00 | −0.105786 | ||||||||
\(722\) | −12918.0 | −0.665870 | ||||||||
\(723\) | −2154.00 | −0.110800 | ||||||||
\(724\) | 7928.00 | 0.406964 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −7122.00 | −0.364080 | ||||||||
\(727\) | −17984.0 | −0.917455 | −0.458727 | − | 0.888577i | \(-0.651695\pi\) | ||||
−0.458727 | + | 0.888577i | \(0.651695\pi\) | |||||||
\(728\) | −4864.00 | −0.247626 | ||||||||
\(729\) | 729.000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 6552.00 | 0.331511 | ||||||||
\(732\) | −6456.00 | −0.325984 | ||||||||
\(733\) | −16598.0 | −0.836373 | −0.418186 | − | 0.908361i | \(-0.637334\pi\) | ||||
−0.418186 | + | 0.908361i | \(0.637334\pi\) | |||||||
\(734\) | −20848.0 | −1.04838 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −5376.00 | −0.269242 | ||||||||
\(737\) | −10608.0 | −0.530191 | ||||||||
\(738\) | 756.000 | 0.0377083 | ||||||||
\(739\) | 1460.00 | 0.0726752 | 0.0363376 | − | 0.999340i | \(-0.488431\pi\) | ||||
0.0363376 | + | 0.999340i | \(0.488431\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2280.00 | −0.113034 | ||||||||
\(742\) | −6336.00 | −0.313480 | ||||||||
\(743\) | 30072.0 | 1.48484 | 0.742419 | − | 0.669936i | \(-0.233678\pi\) | ||||
0.742419 | + | 0.669936i | \(0.233678\pi\) | |||||||
\(744\) | −2112.00 | −0.104072 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −6556.00 | −0.321759 | ||||||||
\(747\) | 4428.00 | 0.216884 | ||||||||
\(748\) | 6048.00 | 0.295637 | ||||||||
\(749\) | 23616.0 | 1.15208 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −18088.0 | −0.878882 | −0.439441 | − | 0.898271i | \(-0.644823\pi\) | ||||
−0.439441 | + | 0.898271i | \(0.644823\pi\) | |||||||
\(752\) | 1536.00 | 0.0744843 | ||||||||
\(753\) | 18036.0 | 0.872866 | ||||||||
\(754\) | −2280.00 | −0.110123 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 1728.00 | 0.0831306 | ||||||||
\(757\) | −24734.0 | −1.18755 | −0.593773 | − | 0.804633i | \(-0.702362\pi\) | ||||
−0.593773 | + | 0.804633i | \(0.702362\pi\) | |||||||
\(758\) | 12280.0 | 0.588430 | ||||||||
\(759\) | −6048.00 | −0.289234 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −22278.0 | −1.06120 | −0.530602 | − | 0.847621i | \(-0.678034\pi\) | ||||
−0.530602 | + | 0.847621i | \(0.678034\pi\) | |||||||
\(762\) | 15216.0 | 0.723383 | ||||||||
\(763\) | 19040.0 | 0.903400 | ||||||||
\(764\) | −10752.0 | −0.509154 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6144.00 | 0.289806 | ||||||||
\(767\) | 25080.0 | 1.18069 | ||||||||
\(768\) | 768.000 | 0.0360844 | ||||||||
\(769\) | 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 | ||||||||
\(772\) | 9208.00 | 0.429279 | ||||||||
\(773\) | −29718.0 | −1.38277 | −0.691386 | − | 0.722486i | \(-0.742999\pi\) | ||||
−0.691386 | + | 0.722486i | \(0.742999\pi\) | |||||||
\(774\) | 936.000 | 0.0434675 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −9232.00 | −0.427074 | ||||||||
\(777\) | −12192.0 | −0.562916 | ||||||||
\(778\) | 12300.0 | 0.566808 | ||||||||
\(779\) | 840.000 | 0.0386343 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9504.00 | 0.435442 | ||||||||
\(782\) | −42336.0 | −1.93597 | ||||||||
\(783\) | 810.000 | 0.0369694 | ||||||||
\(784\) | −1392.00 | −0.0634111 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 13752.0 | 0.624068 | ||||||||
\(787\) | −9524.00 | −0.431377 | −0.215689 | − | 0.976462i | \(-0.569200\pi\) | ||||
−0.215689 | + | 0.976462i | \(0.569200\pi\) | |||||||
\(788\) | −17496.0 | −0.790951 | ||||||||
\(789\) | 18216.0 | 0.821935 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 7392.00 | 0.332275 | ||||||||
\(792\) | 864.000 | 0.0387638 | ||||||||
\(793\) | 20444.0 | 0.915495 | ||||||||
\(794\) | 212.000 | 0.00947556 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6400.00 | −0.284977 | ||||||||
\(797\) | 33906.0 | 1.50692 | 0.753458 | − | 0.657496i | \(-0.228384\pi\) | ||||
0.753458 | + | 0.657496i | \(0.228384\pi\) | |||||||
\(798\) | 1920.00 | 0.0851720 | ||||||||
\(799\) | 12096.0 | 0.535577 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7290.00 | 0.321572 | ||||||||
\(802\) | −3516.00 | −0.154806 | ||||||||
\(803\) | −2616.00 | −0.114965 | ||||||||
\(804\) | −10608.0 | −0.465318 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 6688.00 | 0.292276 | ||||||||
\(807\) | −20790.0 | −0.906868 | ||||||||
\(808\) | −4944.00 | −0.215259 | ||||||||
\(809\) | −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 | \(-0.648590\pi\) | ||||
−0.450040 | + | 0.893008i | \(0.648590\pi\) | |||||||
\(812\) | 1920.00 | 0.0829788 | ||||||||
\(813\) | 4056.00 | 0.174969 | ||||||||
\(814\) | −6096.00 | −0.262487 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 6048.00 | 0.259464 | ||||||||
\(817\) | 1040.00 | 0.0445349 | ||||||||
\(818\) | −7340.00 | −0.313737 | ||||||||
\(819\) | −5472.00 | −0.233464 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −43098.0 | −1.83207 | −0.916036 | − | 0.401097i | \(-0.868629\pi\) | ||||
−0.916036 | + | 0.401097i | \(0.868629\pi\) | |||||||
\(822\) | 4356.00 | 0.184833 | ||||||||
\(823\) | 14272.0 | 0.604484 | 0.302242 | − | 0.953231i | \(-0.402265\pi\) | ||||
0.302242 | + | 0.953231i | \(0.402265\pi\) | |||||||
\(824\) | −1024.00 | −0.0432921 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −21120.0 | −0.889660 | ||||||||
\(827\) | −13644.0 | −0.573698 | −0.286849 | − | 0.957976i | \(-0.592608\pi\) | ||||
−0.286849 | + | 0.957976i | \(0.592608\pi\) | |||||||
\(828\) | −6048.00 | −0.253844 | ||||||||
\(829\) | −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 | ||||||||
\(832\) | −2432.00 | −0.101339 | ||||||||
\(833\) | −10962.0 | −0.455955 | ||||||||
\(834\) | 2280.00 | 0.0946642 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 960.000 | 0.0397157 | ||||||||
\(837\) | −2376.00 | −0.0981202 | ||||||||
\(838\) | −19320.0 | −0.796418 | ||||||||
\(839\) | 23160.0 | 0.953006 | 0.476503 | − | 0.879173i | \(-0.341904\pi\) | ||||
0.476503 | + | 0.879173i | \(0.341904\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −23489.0 | −0.963098 | ||||||||
\(842\) | 16924.0 | 0.692684 | ||||||||
\(843\) | 7326.00 | 0.299313 | ||||||||
\(844\) | 13328.0 | 0.543565 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 1728.00 | 0.0702244 | ||||||||
\(847\) | −18992.0 | −0.770452 | ||||||||
\(848\) | −3168.00 | −0.128290 | ||||||||
\(849\) | −8484.00 | −0.342957 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 42672.0 | 1.71889 | ||||||||
\(852\) | 9504.00 | 0.382162 | ||||||||
\(853\) | −32078.0 | −1.28761 | −0.643804 | − | 0.765190i | \(-0.722645\pi\) | ||||
−0.643804 | + | 0.765190i | \(0.722645\pi\) | |||||||
\(854\) | −17216.0 | −0.689835 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 11808.0 | 0.471483 | ||||||||
\(857\) | 14406.0 | 0.574212 | 0.287106 | − | 0.957899i | \(-0.407307\pi\) | ||||
0.287106 | + | 0.957899i | \(0.407307\pi\) | |||||||
\(858\) | −2736.00 | −0.108864 | ||||||||
\(859\) | 30620.0 | 1.21623 | 0.608115 | − | 0.793849i | \(-0.291926\pi\) | ||||
0.608115 | + | 0.793849i | \(0.291926\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2016.00 | 0.0797969 | ||||||||
\(862\) | 19584.0 | 0.773821 | ||||||||
\(863\) | −17568.0 | −0.692957 | −0.346478 | − | 0.938058i | \(-0.612623\pi\) | ||||
−0.346478 | + | 0.938058i | \(0.612623\pi\) | |||||||
\(864\) | 864.000 | 0.0340207 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 14684.0 | 0.576192 | ||||||||
\(867\) | 32889.0 | 1.28831 | ||||||||
\(868\) | −5632.00 | −0.220233 | ||||||||
\(869\) | −6240.00 | −0.243587 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 33592.0 | 1.30680 | ||||||||
\(872\) | 9520.00 | 0.369711 | ||||||||
\(873\) | −10386.0 | −0.402649 | ||||||||
\(874\) | −6720.00 | −0.260077 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −2616.00 | −0.100898 | ||||||||
\(877\) | 21706.0 | 0.835758 | 0.417879 | − | 0.908503i | \(-0.362774\pi\) | ||||
0.417879 | + | 0.908503i | \(0.362774\pi\) | |||||||
\(878\) | 21280.0 | 0.817956 | ||||||||
\(879\) | −14274.0 | −0.547725 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14958.0 | −0.572018 | −0.286009 | − | 0.958227i | \(-0.592329\pi\) | ||||
−0.286009 | + | 0.958227i | \(0.592329\pi\) | |||||||
\(882\) | −1566.00 | −0.0597845 | ||||||||
\(883\) | 32812.0 | 1.25052 | 0.625261 | − | 0.780415i | \(-0.284992\pi\) | ||||
0.625261 | + | 0.780415i | \(0.284992\pi\) | |||||||
\(884\) | −19152.0 | −0.728678 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 34824.0 | 1.32047 | ||||||||
\(887\) | 38856.0 | 1.47086 | 0.735432 | − | 0.677598i | \(-0.236979\pi\) | ||||
0.735432 | + | 0.677598i | \(0.236979\pi\) | |||||||
\(888\) | −6096.00 | −0.230370 | ||||||||
\(889\) | 40576.0 | 1.53079 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 972.000 | 0.0365468 | ||||||||
\(892\) | −10592.0 | −0.397586 | ||||||||
\(893\) | 1920.00 | 0.0719489 | ||||||||
\(894\) | 9540.00 | 0.356896 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 2048.00 | 0.0763604 | ||||||||
\(897\) | 19152.0 | 0.712895 | ||||||||
\(898\) | −3420.00 | −0.127090 | ||||||||
\(899\) | −2640.00 | −0.0979410 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −24948.0 | −0.922462 | ||||||||
\(902\) | 1008.00 | 0.0372092 | ||||||||
\(903\) | 2496.00 | 0.0919841 | ||||||||
\(904\) | 3696.00 | 0.135981 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 14592.0 | 0.535085 | ||||||||
\(907\) | 28276.0 | 1.03516 | 0.517579 | − | 0.855635i | \(-0.326833\pi\) | ||||
0.517579 | + | 0.855635i | \(0.326833\pi\) | |||||||
\(908\) | −8976.00 | −0.328061 | ||||||||
\(909\) | −5562.00 | −0.202948 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 8112.00 | 0.295019 | 0.147510 | − | 0.989061i | \(-0.452874\pi\) | ||||
0.147510 | + | 0.989061i | \(0.452874\pi\) | |||||||
\(912\) | 960.000 | 0.0348561 | ||||||||
\(913\) | 5904.00 | 0.214013 | ||||||||
\(914\) | 1292.00 | 0.0467566 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −22600.0 | −0.815202 | ||||||||
\(917\) | 36672.0 | 1.32063 | ||||||||
\(918\) | 6804.00 | 0.244625 | ||||||||
\(919\) | −26080.0 | −0.936126 | −0.468063 | − | 0.883695i | \(-0.655048\pi\) | ||||
−0.468063 | + | 0.883695i | \(0.655048\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 25428.0 | 0.909751 | ||||||||
\(922\) | −12036.0 | −0.429918 | ||||||||
\(923\) | −30096.0 | −1.07326 | ||||||||
\(924\) | 2304.00 | 0.0820303 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 13424.0 | 0.476393 | ||||||||
\(927\) | −1152.00 | −0.0408162 | ||||||||
\(928\) | 960.000 | 0.0339586 | ||||||||
\(929\) | 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 | ||||||||
\(932\) | −18792.0 | −0.660464 | ||||||||
\(933\) | 13896.0 | 0.487604 | ||||||||
\(934\) | −10728.0 | −0.375836 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −2736.00 | −0.0955438 | ||||||||
\(937\) | −48314.0 | −1.68447 | −0.842236 | − | 0.539110i | \(-0.818761\pi\) | ||||
−0.842236 | + | 0.539110i | \(0.818761\pi\) | |||||||
\(938\) | −28288.0 | −0.984687 | ||||||||
\(939\) | 14466.0 | 0.502748 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 34782.0 | 1.20495 | 0.602477 | − | 0.798137i | \(-0.294181\pi\) | ||||
0.602477 | + | 0.798137i | \(0.294181\pi\) | |||||||
\(942\) | −3684.00 | −0.127422 | ||||||||
\(943\) | −7056.00 | −0.243664 | ||||||||
\(944\) | −10560.0 | −0.364088 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1248.00 | 0.0428922 | ||||||||
\(947\) | 25116.0 | 0.861838 | 0.430919 | − | 0.902391i | \(-0.358190\pi\) | ||||
0.430919 | + | 0.902391i | \(0.358190\pi\) | |||||||
\(948\) | −6240.00 | −0.213782 | ||||||||
\(949\) | 8284.00 | 0.283361 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 10278.0 | 0.350460 | ||||||||
\(952\) | 16128.0 | 0.549067 | ||||||||
\(953\) | 15462.0 | 0.525565 | 0.262782 | − | 0.964855i | \(-0.415360\pi\) | ||||
0.262782 | + | 0.964855i | \(0.415360\pi\) | |||||||
\(954\) | −3564.00 | −0.120953 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −4800.00 | −0.162388 | ||||||||
\(957\) | 1080.00 | 0.0364801 | ||||||||
\(958\) | 19680.0 | 0.663708 | ||||||||
\(959\) | 11616.0 | 0.391137 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −22047.0 | −0.740056 | ||||||||
\(962\) | 19304.0 | 0.646971 | ||||||||
\(963\) | 13284.0 | 0.444518 | ||||||||
\(964\) | −2872.00 | −0.0959553 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −16128.0 | −0.537174 | ||||||||
\(967\) | 736.000 | 0.0244759 | 0.0122379 | − | 0.999925i | \(-0.496104\pi\) | ||||
0.0122379 | + | 0.999925i | \(0.496104\pi\) | |||||||
\(968\) | −9496.00 | −0.315303 | ||||||||
\(969\) | 7560.00 | 0.250632 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −29268.0 | −0.967307 | −0.483653 | − | 0.875260i | \(-0.660690\pi\) | ||||
−0.483653 | + | 0.875260i | \(0.660690\pi\) | |||||||
\(972\) | 972.000 | 0.0320750 | ||||||||
\(973\) | 6080.00 | 0.200325 | ||||||||
\(974\) | −2848.00 | −0.0936918 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −8608.00 | −0.282311 | ||||||||
\(977\) | −16674.0 | −0.546007 | −0.273003 | − | 0.962013i | \(-0.588017\pi\) | ||||
−0.273003 | + | 0.962013i | \(0.588017\pi\) | |||||||
\(978\) | 11112.0 | 0.363316 | ||||||||
\(979\) | 9720.00 | 0.317316 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 10710.0 | 0.348567 | ||||||||
\(982\) | −9096.00 | −0.295586 | ||||||||
\(983\) | 31272.0 | 1.01467 | 0.507336 | − | 0.861749i | \(-0.330630\pi\) | ||||
0.507336 | + | 0.861749i | \(0.330630\pi\) | |||||||
\(984\) | 1008.00 | 0.0326564 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 7560.00 | 0.244178 | ||||||||
\(987\) | 4608.00 | 0.148606 | ||||||||
\(988\) | −3040.00 | −0.0978900 | ||||||||
\(989\) | −8736.00 | −0.280878 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −15928.0 | −0.510565 | −0.255282 | − | 0.966867i | \(-0.582168\pi\) | ||||
−0.255282 | + | 0.966867i | \(0.582168\pi\) | |||||||
\(992\) | −2816.00 | −0.0901291 | ||||||||
\(993\) | −8364.00 | −0.267295 | ||||||||
\(994\) | 25344.0 | 0.808715 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 5904.00 | 0.187827 | ||||||||
\(997\) | −42014.0 | −1.33460 | −0.667300 | − | 0.744789i | \(-0.732550\pi\) | ||||
−0.667300 | + | 0.744789i | \(0.732550\pi\) | |||||||
\(998\) | 13000.0 | 0.412332 | ||||||||
\(999\) | −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 \(a_p\))