Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,4,Mod(1,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, 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("490.1");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.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: | \(28.9109359028\) |
Analytic rank: | \(0\) |
Dimension: | \(1\) |
Coefficient field: | \(\mathbb{Q}\) |
Coefficient ring: | \(\mathbb{Z}\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 10) |
Fricke sign: | \(+1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Character | \(\chi\) | \(=\) | 490.1 |
$q$-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 | ||||||||
\(3\) | 8.00000 | 1.53960 | 0.769800 | − | 0.638285i | \(-0.220356\pi\) | ||||
0.769800 | + | 0.638285i | \(0.220356\pi\) | |||||||
\(4\) | 4.00000 | 0.500000 | ||||||||
\(5\) | −5.00000 | −0.447214 | ||||||||
\(6\) | 16.0000 | 1.08866 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 8.00000 | 0.353553 | ||||||||
\(9\) | 37.0000 | 1.37037 | ||||||||
\(10\) | −10.0000 | −0.316228 | ||||||||
\(11\) | 12.0000 | 0.328921 | 0.164461 | − | 0.986384i | \(-0.447412\pi\) | ||||
0.164461 | + | 0.986384i | \(0.447412\pi\) | |||||||
\(12\) | 32.0000 | 0.769800 | ||||||||
\(13\) | 58.0000 | 1.23741 | 0.618704 | − | 0.785624i | \(-0.287658\pi\) | ||||
0.618704 | + | 0.785624i | \(0.287658\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −40.0000 | −0.688530 | ||||||||
\(16\) | 16.0000 | 0.250000 | ||||||||
\(17\) | −66.0000 | −0.941609 | −0.470804 | − | 0.882238i | \(-0.656036\pi\) | ||||
−0.470804 | + | 0.882238i | \(0.656036\pi\) | |||||||
\(18\) | 74.0000 | 0.968998 | ||||||||
\(19\) | 100.000 | 1.20745 | 0.603726 | − | 0.797192i | \(-0.293682\pi\) | ||||
0.603726 | + | 0.797192i | \(0.293682\pi\) | |||||||
\(20\) | −20.0000 | −0.223607 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 24.0000 | 0.232583 | ||||||||
\(23\) | 132.000 | 1.19669 | 0.598346 | − | 0.801238i | \(-0.295825\pi\) | ||||
0.598346 | + | 0.801238i | \(0.295825\pi\) | |||||||
\(24\) | 64.0000 | 0.544331 | ||||||||
\(25\) | 25.0000 | 0.200000 | ||||||||
\(26\) | 116.000 | 0.874980 | ||||||||
\(27\) | 80.0000 | 0.570222 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −90.0000 | −0.576296 | −0.288148 | − | 0.957586i | \(-0.593039\pi\) | ||||
−0.288148 | + | 0.957586i | \(0.593039\pi\) | |||||||
\(30\) | −80.0000 | −0.486864 | ||||||||
\(31\) | −152.000 | −0.880645 | −0.440323 | − | 0.897840i | \(-0.645136\pi\) | ||||
−0.440323 | + | 0.897840i | \(0.645136\pi\) | |||||||
\(32\) | 32.0000 | 0.176777 | ||||||||
\(33\) | 96.0000 | 0.506408 | ||||||||
\(34\) | −132.000 | −0.665818 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 148.000 | 0.685185 | ||||||||
\(37\) | −34.0000 | −0.151069 | −0.0755347 | − | 0.997143i | \(-0.524066\pi\) | ||||
−0.0755347 | + | 0.997143i | \(0.524066\pi\) | |||||||
\(38\) | 200.000 | 0.853797 | ||||||||
\(39\) | 464.000 | 1.90511 | ||||||||
\(40\) | −40.0000 | −0.158114 | ||||||||
\(41\) | 438.000 | 1.66839 | 0.834196 | − | 0.551467i | \(-0.185932\pi\) | ||||
0.834196 | + | 0.551467i | \(0.185932\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 32.0000 | 0.113487 | 0.0567437 | − | 0.998389i | \(-0.481928\pi\) | ||||
0.0567437 | + | 0.998389i | \(0.481928\pi\) | |||||||
\(44\) | 48.0000 | 0.164461 | ||||||||
\(45\) | −185.000 | −0.612848 | ||||||||
\(46\) | 264.000 | 0.846189 | ||||||||
\(47\) | 204.000 | 0.633116 | 0.316558 | − | 0.948573i | \(-0.397473\pi\) | ||||
0.316558 | + | 0.948573i | \(0.397473\pi\) | |||||||
\(48\) | 128.000 | 0.384900 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 50.0000 | 0.141421 | ||||||||
\(51\) | −528.000 | −1.44970 | ||||||||
\(52\) | 232.000 | 0.618704 | ||||||||
\(53\) | 222.000 | 0.575359 | 0.287680 | − | 0.957727i | \(-0.407116\pi\) | ||||
0.287680 | + | 0.957727i | \(0.407116\pi\) | |||||||
\(54\) | 160.000 | 0.403208 | ||||||||
\(55\) | −60.0000 | −0.147098 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 800.000 | 1.85899 | ||||||||
\(58\) | −180.000 | −0.407503 | ||||||||
\(59\) | −420.000 | −0.926769 | −0.463384 | − | 0.886157i | \(-0.653365\pi\) | ||||
−0.463384 | + | 0.886157i | \(0.653365\pi\) | |||||||
\(60\) | −160.000 | −0.344265 | ||||||||
\(61\) | −902.000 | −1.89327 | −0.946633 | − | 0.322312i | \(-0.895540\pi\) | ||||
−0.946633 | + | 0.322312i | \(0.895540\pi\) | |||||||
\(62\) | −304.000 | −0.622710 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 64.0000 | 0.125000 | ||||||||
\(65\) | −290.000 | −0.553386 | ||||||||
\(66\) | 192.000 | 0.358084 | ||||||||
\(67\) | −1024.00 | −1.86719 | −0.933593 | − | 0.358334i | \(-0.883345\pi\) | ||||
−0.933593 | + | 0.358334i | \(0.883345\pi\) | |||||||
\(68\) | −264.000 | −0.470804 | ||||||||
\(69\) | 1056.00 | 1.84243 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 432.000 | 0.722098 | 0.361049 | − | 0.932547i | \(-0.382419\pi\) | ||||
0.361049 | + | 0.932547i | \(0.382419\pi\) | |||||||
\(72\) | 296.000 | 0.484499 | ||||||||
\(73\) | −362.000 | −0.580396 | −0.290198 | − | 0.956967i | \(-0.593721\pi\) | ||||
−0.290198 | + | 0.956967i | \(0.593721\pi\) | |||||||
\(74\) | −68.0000 | −0.106822 | ||||||||
\(75\) | 200.000 | 0.307920 | ||||||||
\(76\) | 400.000 | 0.603726 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 928.000 | 1.34712 | ||||||||
\(79\) | −160.000 | −0.227866 | −0.113933 | − | 0.993488i | \(-0.536345\pi\) | ||||
−0.113933 | + | 0.993488i | \(0.536345\pi\) | |||||||
\(80\) | −80.0000 | −0.111803 | ||||||||
\(81\) | −359.000 | −0.492455 | ||||||||
\(82\) | 876.000 | 1.17973 | ||||||||
\(83\) | −72.0000 | −0.0952172 | −0.0476086 | − | 0.998866i | \(-0.515160\pi\) | ||||
−0.0476086 | + | 0.998866i | \(0.515160\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 330.000 | 0.421100 | ||||||||
\(86\) | 64.0000 | 0.0802476 | ||||||||
\(87\) | −720.000 | −0.887266 | ||||||||
\(88\) | 96.0000 | 0.116291 | ||||||||
\(89\) | −810.000 | −0.964717 | −0.482359 | − | 0.875974i | \(-0.660220\pi\) | ||||
−0.482359 | + | 0.875974i | \(0.660220\pi\) | |||||||
\(90\) | −370.000 | −0.433349 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 528.000 | 0.598346 | ||||||||
\(93\) | −1216.00 | −1.35584 | ||||||||
\(94\) | 408.000 | 0.447681 | ||||||||
\(95\) | −500.000 | −0.539989 | ||||||||
\(96\) | 256.000 | 0.272166 | ||||||||
\(97\) | −1106.00 | −1.15770 | −0.578852 | − | 0.815433i | \(-0.696499\pi\) | ||||
−0.578852 | + | 0.815433i | \(0.696499\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 444.000 | 0.450744 | ||||||||
\(100\) | 100.000 | 0.100000 | ||||||||
\(101\) | 258.000 | 0.254178 | 0.127089 | − | 0.991891i | \(-0.459437\pi\) | ||||
0.127089 | + | 0.991891i | \(0.459437\pi\) | |||||||
\(102\) | −1056.00 | −1.02509 | ||||||||
\(103\) | 988.000 | 0.945151 | 0.472575 | − | 0.881290i | \(-0.343324\pi\) | ||||
0.472575 | + | 0.881290i | \(0.343324\pi\) | |||||||
\(104\) | 464.000 | 0.437490 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 444.000 | 0.406840 | ||||||||
\(107\) | −24.0000 | −0.0216838 | −0.0108419 | − | 0.999941i | \(-0.503451\pi\) | ||||
−0.0108419 | + | 0.999941i | \(0.503451\pi\) | |||||||
\(108\) | 320.000 | 0.285111 | ||||||||
\(109\) | 950.000 | 0.834803 | 0.417401 | − | 0.908722i | \(-0.362941\pi\) | ||||
0.417401 | + | 0.908722i | \(0.362941\pi\) | |||||||
\(110\) | −120.000 | −0.104014 | ||||||||
\(111\) | −272.000 | −0.232586 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1038.00 | −0.864131 | −0.432066 | − | 0.901842i | \(-0.642215\pi\) | ||||
−0.432066 | + | 0.901842i | \(0.642215\pi\) | |||||||
\(114\) | 1600.00 | 1.31451 | ||||||||
\(115\) | −660.000 | −0.535177 | ||||||||
\(116\) | −360.000 | −0.288148 | ||||||||
\(117\) | 2146.00 | 1.69571 | ||||||||
\(118\) | −840.000 | −0.655324 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −320.000 | −0.243432 | ||||||||
\(121\) | −1187.00 | −0.891811 | ||||||||
\(122\) | −1804.00 | −1.33874 | ||||||||
\(123\) | 3504.00 | 2.56866 | ||||||||
\(124\) | −608.000 | −0.440323 | ||||||||
\(125\) | −125.000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −124.000 | −0.0866395 | −0.0433198 | − | 0.999061i | \(-0.513793\pi\) | ||||
−0.0433198 | + | 0.999061i | \(0.513793\pi\) | |||||||
\(128\) | 128.000 | 0.0883883 | ||||||||
\(129\) | 256.000 | 0.174725 | ||||||||
\(130\) | −580.000 | −0.391303 | ||||||||
\(131\) | −132.000 | −0.0880374 | −0.0440187 | − | 0.999031i | \(-0.514016\pi\) | ||||
−0.0440187 | + | 0.999031i | \(0.514016\pi\) | |||||||
\(132\) | 384.000 | 0.253204 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −2048.00 | −1.32030 | ||||||||
\(135\) | −400.000 | −0.255011 | ||||||||
\(136\) | −528.000 | −0.332909 | ||||||||
\(137\) | −1254.00 | −0.782018 | −0.391009 | − | 0.920387i | \(-0.627874\pi\) | ||||
−0.391009 | + | 0.920387i | \(0.627874\pi\) | |||||||
\(138\) | 2112.00 | 1.30279 | ||||||||
\(139\) | 2860.00 | 1.74519 | 0.872597 | − | 0.488440i | \(-0.162434\pi\) | ||||
0.872597 | + | 0.488440i | \(0.162434\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1632.00 | 0.974746 | ||||||||
\(142\) | 864.000 | 0.510600 | ||||||||
\(143\) | 696.000 | 0.407010 | ||||||||
\(144\) | 592.000 | 0.342593 | ||||||||
\(145\) | 450.000 | 0.257727 | ||||||||
\(146\) | −724.000 | −0.410402 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −136.000 | −0.0755347 | ||||||||
\(149\) | 750.000 | 0.412365 | 0.206183 | − | 0.978514i | \(-0.433896\pi\) | ||||
0.206183 | + | 0.978514i | \(0.433896\pi\) | |||||||
\(150\) | 400.000 | 0.217732 | ||||||||
\(151\) | −448.000 | −0.241442 | −0.120721 | − | 0.992686i | \(-0.538521\pi\) | ||||
−0.120721 | + | 0.992686i | \(0.538521\pi\) | |||||||
\(152\) | 800.000 | 0.426898 | ||||||||
\(153\) | −2442.00 | −1.29035 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 760.000 | 0.393837 | ||||||||
\(156\) | 1856.00 | 0.952557 | ||||||||
\(157\) | −2246.00 | −1.14172 | −0.570861 | − | 0.821047i | \(-0.693390\pi\) | ||||
−0.570861 | + | 0.821047i | \(0.693390\pi\) | |||||||
\(158\) | −320.000 | −0.161126 | ||||||||
\(159\) | 1776.00 | 0.885824 | ||||||||
\(160\) | −160.000 | −0.0790569 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −718.000 | −0.348219 | ||||||||
\(163\) | −568.000 | −0.272940 | −0.136470 | − | 0.990644i | \(-0.543576\pi\) | ||||
−0.136470 | + | 0.990644i | \(0.543576\pi\) | |||||||
\(164\) | 1752.00 | 0.834196 | ||||||||
\(165\) | −480.000 | −0.226472 | ||||||||
\(166\) | −144.000 | −0.0673287 | ||||||||
\(167\) | 1524.00 | 0.706172 | 0.353086 | − | 0.935591i | \(-0.385132\pi\) | ||||
0.353086 | + | 0.935591i | \(0.385132\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1167.00 | 0.531179 | ||||||||
\(170\) | 660.000 | 0.297763 | ||||||||
\(171\) | 3700.00 | 1.65466 | ||||||||
\(172\) | 128.000 | 0.0567437 | ||||||||
\(173\) | −3702.00 | −1.62692 | −0.813462 | − | 0.581618i | \(-0.802420\pi\) | ||||
−0.813462 | + | 0.581618i | \(0.802420\pi\) | |||||||
\(174\) | −1440.00 | −0.627391 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 192.000 | 0.0822304 | ||||||||
\(177\) | −3360.00 | −1.42685 | ||||||||
\(178\) | −1620.00 | −0.682158 | ||||||||
\(179\) | 3180.00 | 1.32785 | 0.663923 | − | 0.747801i | \(-0.268890\pi\) | ||||
0.663923 | + | 0.747801i | \(0.268890\pi\) | |||||||
\(180\) | −740.000 | −0.306424 | ||||||||
\(181\) | 2098.00 | 0.861564 | 0.430782 | − | 0.902456i | \(-0.358238\pi\) | ||||
0.430782 | + | 0.902456i | \(0.358238\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −7216.00 | −2.91487 | ||||||||
\(184\) | 1056.00 | 0.423094 | ||||||||
\(185\) | 170.000 | 0.0675603 | ||||||||
\(186\) | −2432.00 | −0.958725 | ||||||||
\(187\) | −792.000 | −0.309715 | ||||||||
\(188\) | 816.000 | 0.316558 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1000.00 | −0.381830 | ||||||||
\(191\) | 4392.00 | 1.66384 | 0.831921 | − | 0.554894i | \(-0.187241\pi\) | ||||
0.831921 | + | 0.554894i | \(0.187241\pi\) | |||||||
\(192\) | 512.000 | 0.192450 | ||||||||
\(193\) | −2158.00 | −0.804851 | −0.402425 | − | 0.915453i | \(-0.631833\pi\) | ||||
−0.402425 | + | 0.915453i | \(0.631833\pi\) | |||||||
\(194\) | −2212.00 | −0.818620 | ||||||||
\(195\) | −2320.00 | −0.851993 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1074.00 | −0.388423 | −0.194212 | − | 0.980960i | \(-0.562215\pi\) | ||||
−0.194212 | + | 0.980960i | \(0.562215\pi\) | |||||||
\(198\) | 888.000 | 0.318724 | ||||||||
\(199\) | −2840.00 | −1.01167 | −0.505835 | − | 0.862630i | \(-0.668815\pi\) | ||||
−0.505835 | + | 0.862630i | \(0.668815\pi\) | |||||||
\(200\) | 200.000 | 0.0707107 | ||||||||
\(201\) | −8192.00 | −2.87472 | ||||||||
\(202\) | 516.000 | 0.179731 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −2112.00 | −0.724851 | ||||||||
\(205\) | −2190.00 | −0.746128 | ||||||||
\(206\) | 1976.00 | 0.668323 | ||||||||
\(207\) | 4884.00 | 1.63991 | ||||||||
\(208\) | 928.000 | 0.309352 | ||||||||
\(209\) | 1200.00 | 0.397157 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2668.00 | −0.870487 | −0.435243 | − | 0.900313i | \(-0.643338\pi\) | ||||
−0.435243 | + | 0.900313i | \(0.643338\pi\) | |||||||
\(212\) | 888.000 | 0.287680 | ||||||||
\(213\) | 3456.00 | 1.11174 | ||||||||
\(214\) | −48.0000 | −0.0153328 | ||||||||
\(215\) | −160.000 | −0.0507531 | ||||||||
\(216\) | 640.000 | 0.201604 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 1900.00 | 0.590295 | ||||||||
\(219\) | −2896.00 | −0.893578 | ||||||||
\(220\) | −240.000 | −0.0735491 | ||||||||
\(221\) | −3828.00 | −1.16515 | ||||||||
\(222\) | −544.000 | −0.164463 | ||||||||
\(223\) | −1772.00 | −0.532116 | −0.266058 | − | 0.963957i | \(-0.585721\pi\) | ||||
−0.266058 | + | 0.963957i | \(0.585721\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 925.000 | 0.274074 | ||||||||
\(226\) | −2076.00 | −0.611033 | ||||||||
\(227\) | 2784.00 | 0.814011 | 0.407006 | − | 0.913426i | \(-0.366573\pi\) | ||||
0.407006 | + | 0.913426i | \(0.366573\pi\) | |||||||
\(228\) | 3200.00 | 0.929496 | ||||||||
\(229\) | −350.000 | −0.100998 | −0.0504992 | − | 0.998724i | \(-0.516081\pi\) | ||||
−0.0504992 | + | 0.998724i | \(0.516081\pi\) | |||||||
\(230\) | −1320.00 | −0.378427 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −720.000 | −0.203751 | ||||||||
\(233\) | 1962.00 | 0.551652 | 0.275826 | − | 0.961208i | \(-0.411049\pi\) | ||||
0.275826 | + | 0.961208i | \(0.411049\pi\) | |||||||
\(234\) | 4292.00 | 1.19905 | ||||||||
\(235\) | −1020.00 | −0.283138 | ||||||||
\(236\) | −1680.00 | −0.463384 | ||||||||
\(237\) | −1280.00 | −0.350823 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −4320.00 | −1.16919 | −0.584597 | − | 0.811324i | \(-0.698748\pi\) | ||||
−0.584597 | + | 0.811324i | \(0.698748\pi\) | |||||||
\(240\) | −640.000 | −0.172133 | ||||||||
\(241\) | 478.000 | 0.127762 | 0.0638811 | − | 0.997958i | \(-0.479652\pi\) | ||||
0.0638811 | + | 0.997958i | \(0.479652\pi\) | |||||||
\(242\) | −2374.00 | −0.630605 | ||||||||
\(243\) | −5032.00 | −1.32841 | ||||||||
\(244\) | −3608.00 | −0.946633 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 7008.00 | 1.81632 | ||||||||
\(247\) | 5800.00 | 1.49411 | ||||||||
\(248\) | −1216.00 | −0.311355 | ||||||||
\(249\) | −576.000 | −0.146596 | ||||||||
\(250\) | −250.000 | −0.0632456 | ||||||||
\(251\) | −2652.00 | −0.666903 | −0.333452 | − | 0.942767i | \(-0.608213\pi\) | ||||
−0.333452 | + | 0.942767i | \(0.608213\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1584.00 | 0.393617 | ||||||||
\(254\) | −248.000 | −0.0612634 | ||||||||
\(255\) | 2640.00 | 0.648326 | ||||||||
\(256\) | 256.000 | 0.0625000 | ||||||||
\(257\) | 2334.00 | 0.566502 | 0.283251 | − | 0.959046i | \(-0.408587\pi\) | ||||
0.283251 | + | 0.959046i | \(0.408587\pi\) | |||||||
\(258\) | 512.000 | 0.123549 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −1160.00 | −0.276693 | ||||||||
\(261\) | −3330.00 | −0.789739 | ||||||||
\(262\) | −264.000 | −0.0622518 | ||||||||
\(263\) | −3948.00 | −0.925643 | −0.462822 | − | 0.886451i | \(-0.653163\pi\) | ||||
−0.462822 | + | 0.886451i | \(0.653163\pi\) | |||||||
\(264\) | 768.000 | 0.179042 | ||||||||
\(265\) | −1110.00 | −0.257309 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −6480.00 | −1.48528 | ||||||||
\(268\) | −4096.00 | −0.933593 | ||||||||
\(269\) | −1590.00 | −0.360387 | −0.180193 | − | 0.983631i | \(-0.557672\pi\) | ||||
−0.180193 | + | 0.983631i | \(0.557672\pi\) | |||||||
\(270\) | −800.000 | −0.180320 | ||||||||
\(271\) | −4952.00 | −1.11001 | −0.555005 | − | 0.831847i | \(-0.687284\pi\) | ||||
−0.555005 | + | 0.831847i | \(0.687284\pi\) | |||||||
\(272\) | −1056.00 | −0.235402 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2508.00 | −0.552970 | ||||||||
\(275\) | 300.000 | 0.0657843 | ||||||||
\(276\) | 4224.00 | 0.921213 | ||||||||
\(277\) | 1646.00 | 0.357034 | 0.178517 | − | 0.983937i | \(-0.442870\pi\) | ||||
0.178517 | + | 0.983937i | \(0.442870\pi\) | |||||||
\(278\) | 5720.00 | 1.23404 | ||||||||
\(279\) | −5624.00 | −1.20681 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1158.00 | −0.245838 | −0.122919 | − | 0.992417i | \(-0.539226\pi\) | ||||
−0.122919 | + | 0.992417i | \(0.539226\pi\) | |||||||
\(282\) | 3264.00 | 0.689250 | ||||||||
\(283\) | −6992.00 | −1.46866 | −0.734331 | − | 0.678792i | \(-0.762504\pi\) | ||||
−0.734331 | + | 0.678792i | \(0.762504\pi\) | |||||||
\(284\) | 1728.00 | 0.361049 | ||||||||
\(285\) | −4000.00 | −0.831367 | ||||||||
\(286\) | 1392.00 | 0.287800 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 1184.00 | 0.242250 | ||||||||
\(289\) | −557.000 | −0.113373 | ||||||||
\(290\) | 900.000 | 0.182241 | ||||||||
\(291\) | −8848.00 | −1.78240 | ||||||||
\(292\) | −1448.00 | −0.290198 | ||||||||
\(293\) | 258.000 | 0.0514421 | 0.0257210 | − | 0.999669i | \(-0.491812\pi\) | ||||
0.0257210 | + | 0.999669i | \(0.491812\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2100.00 | 0.414463 | ||||||||
\(296\) | −272.000 | −0.0534111 | ||||||||
\(297\) | 960.000 | 0.187558 | ||||||||
\(298\) | 1500.00 | 0.291586 | ||||||||
\(299\) | 7656.00 | 1.48080 | ||||||||
\(300\) | 800.000 | 0.153960 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −896.000 | −0.170725 | ||||||||
\(303\) | 2064.00 | 0.391332 | ||||||||
\(304\) | 1600.00 | 0.301863 | ||||||||
\(305\) | 4510.00 | 0.846695 | ||||||||
\(306\) | −4884.00 | −0.912417 | ||||||||
\(307\) | 8944.00 | 1.66274 | 0.831370 | − | 0.555720i | \(-0.187557\pi\) | ||||
0.831370 | + | 0.555720i | \(0.187557\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 7904.00 | 1.45515 | ||||||||
\(310\) | 1520.00 | 0.278485 | ||||||||
\(311\) | −1392.00 | −0.253804 | −0.126902 | − | 0.991915i | \(-0.540503\pi\) | ||||
−0.126902 | + | 0.991915i | \(0.540503\pi\) | |||||||
\(312\) | 3712.00 | 0.673560 | ||||||||
\(313\) | 5878.00 | 1.06148 | 0.530742 | − | 0.847534i | \(-0.321913\pi\) | ||||
0.530742 | + | 0.847534i | \(0.321913\pi\) | |||||||
\(314\) | −4492.00 | −0.807319 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −640.000 | −0.113933 | ||||||||
\(317\) | 10326.0 | 1.82955 | 0.914773 | − | 0.403969i | \(-0.132370\pi\) | ||||
0.914773 | + | 0.403969i | \(0.132370\pi\) | |||||||
\(318\) | 3552.00 | 0.626372 | ||||||||
\(319\) | −1080.00 | −0.189556 | ||||||||
\(320\) | −320.000 | −0.0559017 | ||||||||
\(321\) | −192.000 | −0.0333844 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −6600.00 | −1.13695 | ||||||||
\(324\) | −1436.00 | −0.246228 | ||||||||
\(325\) | 1450.00 | 0.247482 | ||||||||
\(326\) | −1136.00 | −0.192998 | ||||||||
\(327\) | 7600.00 | 1.28526 | ||||||||
\(328\) | 3504.00 | 0.589866 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −960.000 | −0.160140 | ||||||||
\(331\) | −4228.00 | −0.702090 | −0.351045 | − | 0.936359i | \(-0.614174\pi\) | ||||
−0.351045 | + | 0.936359i | \(0.614174\pi\) | |||||||
\(332\) | −288.000 | −0.0476086 | ||||||||
\(333\) | −1258.00 | −0.207021 | ||||||||
\(334\) | 3048.00 | 0.499339 | ||||||||
\(335\) | 5120.00 | 0.835031 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1106.00 | 0.178776 | 0.0893882 | − | 0.995997i | \(-0.471509\pi\) | ||||
0.0893882 | + | 0.995997i | \(0.471509\pi\) | |||||||
\(338\) | 2334.00 | 0.375600 | ||||||||
\(339\) | −8304.00 | −1.33042 | ||||||||
\(340\) | 1320.00 | 0.210550 | ||||||||
\(341\) | −1824.00 | −0.289663 | ||||||||
\(342\) | 7400.00 | 1.17002 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 256.000 | 0.0401238 | ||||||||
\(345\) | −5280.00 | −0.823958 | ||||||||
\(346\) | −7404.00 | −1.15041 | ||||||||
\(347\) | 9336.00 | 1.44433 | 0.722165 | − | 0.691720i | \(-0.243147\pi\) | ||||
0.722165 | + | 0.691720i | \(0.243147\pi\) | |||||||
\(348\) | −2880.00 | −0.443633 | ||||||||
\(349\) | 11770.0 | 1.80525 | 0.902627 | − | 0.430424i | \(-0.141636\pi\) | ||||
0.902627 | + | 0.430424i | \(0.141636\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4640.00 | 0.705598 | ||||||||
\(352\) | 384.000 | 0.0581456 | ||||||||
\(353\) | −8322.00 | −1.25477 | −0.627387 | − | 0.778707i | \(-0.715876\pi\) | ||||
−0.627387 | + | 0.778707i | \(0.715876\pi\) | |||||||
\(354\) | −6720.00 | −1.00894 | ||||||||
\(355\) | −2160.00 | −0.322932 | ||||||||
\(356\) | −3240.00 | −0.482359 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6360.00 | 0.938929 | ||||||||
\(359\) | 10680.0 | 1.57011 | 0.785054 | − | 0.619427i | \(-0.212635\pi\) | ||||
0.785054 | + | 0.619427i | \(0.212635\pi\) | |||||||
\(360\) | −1480.00 | −0.216675 | ||||||||
\(361\) | 3141.00 | 0.457938 | ||||||||
\(362\) | 4196.00 | 0.609218 | ||||||||
\(363\) | −9496.00 | −1.37303 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1810.00 | 0.259561 | ||||||||
\(366\) | −14432.0 | −2.06113 | ||||||||
\(367\) | 5884.00 | 0.836900 | 0.418450 | − | 0.908240i | \(-0.362574\pi\) | ||||
0.418450 | + | 0.908240i | \(0.362574\pi\) | |||||||
\(368\) | 2112.00 | 0.299173 | ||||||||
\(369\) | 16206.0 | 2.28632 | ||||||||
\(370\) | 340.000 | 0.0477723 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −4864.00 | −0.677921 | ||||||||
\(373\) | −2098.00 | −0.291234 | −0.145617 | − | 0.989341i | \(-0.546517\pi\) | ||||
−0.145617 | + | 0.989341i | \(0.546517\pi\) | |||||||
\(374\) | −1584.00 | −0.219002 | ||||||||
\(375\) | −1000.00 | −0.137706 | ||||||||
\(376\) | 1632.00 | 0.223840 | ||||||||
\(377\) | −5220.00 | −0.713113 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3860.00 | 0.523153 | 0.261576 | − | 0.965183i | \(-0.415758\pi\) | ||||
0.261576 | + | 0.965183i | \(0.415758\pi\) | |||||||
\(380\) | −2000.00 | −0.269994 | ||||||||
\(381\) | −992.000 | −0.133390 | ||||||||
\(382\) | 8784.00 | 1.17651 | ||||||||
\(383\) | 9588.00 | 1.27917 | 0.639587 | − | 0.768718i | \(-0.279105\pi\) | ||||
0.639587 | + | 0.768718i | \(0.279105\pi\) | |||||||
\(384\) | 1024.00 | 0.136083 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −4316.00 | −0.569116 | ||||||||
\(387\) | 1184.00 | 0.155520 | ||||||||
\(388\) | −4424.00 | −0.578852 | ||||||||
\(389\) | −13410.0 | −1.74785 | −0.873925 | − | 0.486060i | \(-0.838434\pi\) | ||||
−0.873925 | + | 0.486060i | \(0.838434\pi\) | |||||||
\(390\) | −4640.00 | −0.602450 | ||||||||
\(391\) | −8712.00 | −1.12682 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1056.00 | −0.135542 | ||||||||
\(394\) | −2148.00 | −0.274657 | ||||||||
\(395\) | 800.000 | 0.101905 | ||||||||
\(396\) | 1776.00 | 0.225372 | ||||||||
\(397\) | 13114.0 | 1.65787 | 0.828933 | − | 0.559348i | \(-0.188948\pi\) | ||||
0.828933 | + | 0.559348i | \(0.188948\pi\) | |||||||
\(398\) | −5680.00 | −0.715358 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 400.000 | 0.0500000 | ||||||||
\(401\) | −5838.00 | −0.727022 | −0.363511 | − | 0.931590i | \(-0.618422\pi\) | ||||
−0.363511 | + | 0.931590i | \(0.618422\pi\) | |||||||
\(402\) | −16384.0 | −2.03274 | ||||||||
\(403\) | −8816.00 | −1.08972 | ||||||||
\(404\) | 1032.00 | 0.127089 | ||||||||
\(405\) | 1795.00 | 0.220233 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −408.000 | −0.0496899 | ||||||||
\(408\) | −4224.00 | −0.512547 | ||||||||
\(409\) | −9530.00 | −1.15215 | −0.576074 | − | 0.817398i | \(-0.695416\pi\) | ||||
−0.576074 | + | 0.817398i | \(0.695416\pi\) | |||||||
\(410\) | −4380.00 | −0.527592 | ||||||||
\(411\) | −10032.0 | −1.20400 | ||||||||
\(412\) | 3952.00 | 0.472575 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 9768.00 | 1.15959 | ||||||||
\(415\) | 360.000 | 0.0425824 | ||||||||
\(416\) | 1856.00 | 0.218745 | ||||||||
\(417\) | 22880.0 | 2.68690 | ||||||||
\(418\) | 2400.00 | 0.280832 | ||||||||
\(419\) | −7260.00 | −0.846478 | −0.423239 | − | 0.906018i | \(-0.639107\pi\) | ||||
−0.423239 | + | 0.906018i | \(0.639107\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12062.0 | 1.39636 | 0.698178 | − | 0.715924i | \(-0.253994\pi\) | ||||
0.698178 | + | 0.715924i | \(0.253994\pi\) | |||||||
\(422\) | −5336.00 | −0.615527 | ||||||||
\(423\) | 7548.00 | 0.867604 | ||||||||
\(424\) | 1776.00 | 0.203420 | ||||||||
\(425\) | −1650.00 | −0.188322 | ||||||||
\(426\) | 6912.00 | 0.786121 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −96.0000 | −0.0108419 | ||||||||
\(429\) | 5568.00 | 0.626633 | ||||||||
\(430\) | −320.000 | −0.0358878 | ||||||||
\(431\) | −13608.0 | −1.52082 | −0.760411 | − | 0.649442i | \(-0.775002\pi\) | ||||
−0.760411 | + | 0.649442i | \(0.775002\pi\) | |||||||
\(432\) | 1280.00 | 0.142556 | ||||||||
\(433\) | 3838.00 | 0.425964 | 0.212982 | − | 0.977056i | \(-0.431682\pi\) | ||||
0.212982 | + | 0.977056i | \(0.431682\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3600.00 | 0.396797 | ||||||||
\(436\) | 3800.00 | 0.417401 | ||||||||
\(437\) | 13200.0 | 1.44495 | ||||||||
\(438\) | −5792.00 | −0.631855 | ||||||||
\(439\) | −7400.00 | −0.804516 | −0.402258 | − | 0.915526i | \(-0.631775\pi\) | ||||
−0.402258 | + | 0.915526i | \(0.631775\pi\) | |||||||
\(440\) | −480.000 | −0.0520071 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −7656.00 | −0.823889 | ||||||||
\(443\) | 8352.00 | 0.895746 | 0.447873 | − | 0.894097i | \(-0.352182\pi\) | ||||
0.447873 | + | 0.894097i | \(0.352182\pi\) | |||||||
\(444\) | −1088.00 | −0.116293 | ||||||||
\(445\) | 4050.00 | 0.431435 | ||||||||
\(446\) | −3544.00 | −0.376263 | ||||||||
\(447\) | 6000.00 | 0.634878 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10770.0 | 1.13200 | 0.566000 | − | 0.824405i | \(-0.308490\pi\) | ||||
0.566000 | + | 0.824405i | \(0.308490\pi\) | |||||||
\(450\) | 1850.00 | 0.193800 | ||||||||
\(451\) | 5256.00 | 0.548770 | ||||||||
\(452\) | −4152.00 | −0.432066 | ||||||||
\(453\) | −3584.00 | −0.371724 | ||||||||
\(454\) | 5568.00 | 0.575593 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 6400.00 | 0.657253 | ||||||||
\(457\) | −6694.00 | −0.685191 | −0.342595 | − | 0.939483i | \(-0.611306\pi\) | ||||
−0.342595 | + | 0.939483i | \(0.611306\pi\) | |||||||
\(458\) | −700.000 | −0.0714167 | ||||||||
\(459\) | −5280.00 | −0.536927 | ||||||||
\(460\) | −2640.00 | −0.267588 | ||||||||
\(461\) | 3018.00 | 0.304907 | 0.152454 | − | 0.988311i | \(-0.451283\pi\) | ||||
0.152454 | + | 0.988311i | \(0.451283\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14492.0 | 1.45464 | 0.727322 | − | 0.686296i | \(-0.240765\pi\) | ||||
0.727322 | + | 0.686296i | \(0.240765\pi\) | |||||||
\(464\) | −1440.00 | −0.144074 | ||||||||
\(465\) | 6080.00 | 0.606351 | ||||||||
\(466\) | 3924.00 | 0.390077 | ||||||||
\(467\) | −7776.00 | −0.770515 | −0.385257 | − | 0.922809i | \(-0.625887\pi\) | ||||
−0.385257 | + | 0.922809i | \(0.625887\pi\) | |||||||
\(468\) | 8584.00 | 0.847854 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −2040.00 | −0.200209 | ||||||||
\(471\) | −17968.0 | −1.75780 | ||||||||
\(472\) | −3360.00 | −0.327662 | ||||||||
\(473\) | 384.000 | 0.0373284 | ||||||||
\(474\) | −2560.00 | −0.248069 | ||||||||
\(475\) | 2500.00 | 0.241490 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 8214.00 | 0.788455 | ||||||||
\(478\) | −8640.00 | −0.826746 | ||||||||
\(479\) | 13680.0 | 1.30492 | 0.652458 | − | 0.757825i | \(-0.273738\pi\) | ||||
0.652458 | + | 0.757825i | \(0.273738\pi\) | |||||||
\(480\) | −1280.00 | −0.121716 | ||||||||
\(481\) | −1972.00 | −0.186934 | ||||||||
\(482\) | 956.000 | 0.0903415 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4748.00 | −0.445905 | ||||||||
\(485\) | 5530.00 | 0.517741 | ||||||||
\(486\) | −10064.0 | −0.939326 | ||||||||
\(487\) | 7916.00 | 0.736567 | 0.368284 | − | 0.929714i | \(-0.379946\pi\) | ||||
0.368284 | + | 0.929714i | \(0.379946\pi\) | |||||||
\(488\) | −7216.00 | −0.669371 | ||||||||
\(489\) | −4544.00 | −0.420218 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13932.0 | 1.28053 | 0.640267 | − | 0.768152i | \(-0.278824\pi\) | ||||
0.640267 | + | 0.768152i | \(0.278824\pi\) | |||||||
\(492\) | 14016.0 | 1.28433 | ||||||||
\(493\) | 5940.00 | 0.542645 | ||||||||
\(494\) | 11600.0 | 1.05650 | ||||||||
\(495\) | −2220.00 | −0.201579 | ||||||||
\(496\) | −2432.00 | −0.220161 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −1152.00 | −0.103659 | ||||||||
\(499\) | −8260.00 | −0.741019 | −0.370509 | − | 0.928829i | \(-0.620817\pi\) | ||||
−0.370509 | + | 0.928829i | \(0.620817\pi\) | |||||||
\(500\) | −500.000 | −0.0447214 | ||||||||
\(501\) | 12192.0 | 1.08722 | ||||||||
\(502\) | −5304.00 | −0.471572 | ||||||||
\(503\) | 11148.0 | 0.988200 | 0.494100 | − | 0.869405i | \(-0.335498\pi\) | ||||
0.494100 | + | 0.869405i | \(0.335498\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1290.00 | −0.113672 | ||||||||
\(506\) | 3168.00 | 0.278330 | ||||||||
\(507\) | 9336.00 | 0.817803 | ||||||||
\(508\) | −496.000 | −0.0433198 | ||||||||
\(509\) | 9690.00 | 0.843815 | 0.421907 | − | 0.906639i | \(-0.361361\pi\) | ||||
0.421907 | + | 0.906639i | \(0.361361\pi\) | |||||||
\(510\) | 5280.00 | 0.458436 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | 8000.00 | 0.688516 | ||||||||
\(514\) | 4668.00 | 0.400577 | ||||||||
\(515\) | −4940.00 | −0.422684 | ||||||||
\(516\) | 1024.00 | 0.0873626 | ||||||||
\(517\) | 2448.00 | 0.208245 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −29616.0 | −2.50481 | ||||||||
\(520\) | −2320.00 | −0.195651 | ||||||||
\(521\) | 16038.0 | 1.34863 | 0.674316 | − | 0.738443i | \(-0.264438\pi\) | ||||
0.674316 | + | 0.738443i | \(0.264438\pi\) | |||||||
\(522\) | −6660.00 | −0.558430 | ||||||||
\(523\) | −992.000 | −0.0829391 | −0.0414695 | − | 0.999140i | \(-0.513204\pi\) | ||||
−0.0414695 | + | 0.999140i | \(0.513204\pi\) | |||||||
\(524\) | −528.000 | −0.0440187 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7896.00 | −0.654528 | ||||||||
\(527\) | 10032.0 | 0.829223 | ||||||||
\(528\) | 1536.00 | 0.126602 | ||||||||
\(529\) | 5257.00 | 0.432070 | ||||||||
\(530\) | −2220.00 | −0.181945 | ||||||||
\(531\) | −15540.0 | −1.27002 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 25404.0 | 2.06448 | ||||||||
\(534\) | −12960.0 | −1.05025 | ||||||||
\(535\) | 120.000 | 0.00969729 | ||||||||
\(536\) | −8192.00 | −0.660150 | ||||||||
\(537\) | 25440.0 | 2.04435 | ||||||||
\(538\) | −3180.00 | −0.254832 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1600.00 | −0.127506 | ||||||||
\(541\) | 7142.00 | 0.567576 | 0.283788 | − | 0.958887i | \(-0.408409\pi\) | ||||
0.283788 | + | 0.958887i | \(0.408409\pi\) | |||||||
\(542\) | −9904.00 | −0.784895 | ||||||||
\(543\) | 16784.0 | 1.32646 | ||||||||
\(544\) | −2112.00 | −0.166455 | ||||||||
\(545\) | −4750.00 | −0.373335 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7616.00 | 0.595314 | 0.297657 | − | 0.954673i | \(-0.403795\pi\) | ||||
0.297657 | + | 0.954673i | \(0.403795\pi\) | |||||||
\(548\) | −5016.00 | −0.391009 | ||||||||
\(549\) | −33374.0 | −2.59448 | ||||||||
\(550\) | 600.000 | 0.0465165 | ||||||||
\(551\) | −9000.00 | −0.695849 | ||||||||
\(552\) | 8448.00 | 0.651396 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 3292.00 | 0.252462 | ||||||||
\(555\) | 1360.00 | 0.104016 | ||||||||
\(556\) | 11440.0 | 0.872597 | ||||||||
\(557\) | −10314.0 | −0.784593 | −0.392296 | − | 0.919839i | \(-0.628319\pi\) | ||||
−0.392296 | + | 0.919839i | \(0.628319\pi\) | |||||||
\(558\) | −11248.0 | −0.853344 | ||||||||
\(559\) | 1856.00 | 0.140430 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6336.00 | −0.476838 | ||||||||
\(562\) | −2316.00 | −0.173834 | ||||||||
\(563\) | 7128.00 | 0.533587 | 0.266793 | − | 0.963754i | \(-0.414036\pi\) | ||||
0.266793 | + | 0.963754i | \(0.414036\pi\) | |||||||
\(564\) | 6528.00 | 0.487373 | ||||||||
\(565\) | 5190.00 | 0.386451 | ||||||||
\(566\) | −13984.0 | −1.03850 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3456.00 | 0.255300 | ||||||||
\(569\) | 2010.00 | 0.148091 | 0.0740453 | − | 0.997255i | \(-0.476409\pi\) | ||||
0.0740453 | + | 0.997255i | \(0.476409\pi\) | |||||||
\(570\) | −8000.00 | −0.587865 | ||||||||
\(571\) | −23188.0 | −1.69945 | −0.849726 | − | 0.527224i | \(-0.823233\pi\) | ||||
−0.849726 | + | 0.527224i | \(0.823233\pi\) | |||||||
\(572\) | 2784.00 | 0.203505 | ||||||||
\(573\) | 35136.0 | 2.56165 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3300.00 | 0.239338 | ||||||||
\(576\) | 2368.00 | 0.171296 | ||||||||
\(577\) | −22466.0 | −1.62092 | −0.810461 | − | 0.585793i | \(-0.800783\pi\) | ||||
−0.810461 | + | 0.585793i | \(0.800783\pi\) | |||||||
\(578\) | −1114.00 | −0.0801666 | ||||||||
\(579\) | −17264.0 | −1.23915 | ||||||||
\(580\) | 1800.00 | 0.128864 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −17696.0 | −1.26035 | ||||||||
\(583\) | 2664.00 | 0.189248 | ||||||||
\(584\) | −2896.00 | −0.205201 | ||||||||
\(585\) | −10730.0 | −0.758343 | ||||||||
\(586\) | 516.000 | 0.0363750 | ||||||||
\(587\) | −22776.0 | −1.60148 | −0.800738 | − | 0.599015i | \(-0.795559\pi\) | ||||
−0.800738 | + | 0.599015i | \(0.795559\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15200.0 | −1.06334 | ||||||||
\(590\) | 4200.00 | 0.293070 | ||||||||
\(591\) | −8592.00 | −0.598016 | ||||||||
\(592\) | −544.000 | −0.0377673 | ||||||||
\(593\) | 21198.0 | 1.46796 | 0.733978 | − | 0.679174i | \(-0.237662\pi\) | ||||
0.733978 | + | 0.679174i | \(0.237662\pi\) | |||||||
\(594\) | 1920.00 | 0.132624 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3000.00 | 0.206183 | ||||||||
\(597\) | −22720.0 | −1.55757 | ||||||||
\(598\) | 15312.0 | 1.04708 | ||||||||
\(599\) | 15960.0 | 1.08866 | 0.544330 | − | 0.838871i | \(-0.316784\pi\) | ||||
0.544330 | + | 0.838871i | \(0.316784\pi\) | |||||||
\(600\) | 1600.00 | 0.108866 | ||||||||
\(601\) | −5882.00 | −0.399221 | −0.199610 | − | 0.979875i | \(-0.563968\pi\) | ||||
−0.199610 | + | 0.979875i | \(0.563968\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −37888.0 | −2.55874 | ||||||||
\(604\) | −1792.00 | −0.120721 | ||||||||
\(605\) | 5935.00 | 0.398830 | ||||||||
\(606\) | 4128.00 | 0.276714 | ||||||||
\(607\) | −8516.00 | −0.569446 | −0.284723 | − | 0.958610i | \(-0.591902\pi\) | ||||
−0.284723 | + | 0.958610i | \(0.591902\pi\) | |||||||
\(608\) | 3200.00 | 0.213449 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9020.00 | 0.598703 | ||||||||
\(611\) | 11832.0 | 0.783423 | ||||||||
\(612\) | −9768.00 | −0.645176 | ||||||||
\(613\) | 8462.00 | 0.557548 | 0.278774 | − | 0.960357i | \(-0.410072\pi\) | ||||
0.278774 | + | 0.960357i | \(0.410072\pi\) | |||||||
\(614\) | 17888.0 | 1.17573 | ||||||||
\(615\) | −17520.0 | −1.14874 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −11094.0 | −0.723870 | −0.361935 | − | 0.932203i | \(-0.617884\pi\) | ||||
−0.361935 | + | 0.932203i | \(0.617884\pi\) | |||||||
\(618\) | 15808.0 | 1.02895 | ||||||||
\(619\) | −2180.00 | −0.141553 | −0.0707767 | − | 0.997492i | \(-0.522548\pi\) | ||||
−0.0707767 | + | 0.997492i | \(0.522548\pi\) | |||||||
\(620\) | 3040.00 | 0.196918 | ||||||||
\(621\) | 10560.0 | 0.682380 | ||||||||
\(622\) | −2784.00 | −0.179467 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 7424.00 | 0.476279 | ||||||||
\(625\) | 625.000 | 0.0400000 | ||||||||
\(626\) | 11756.0 | 0.750582 | ||||||||
\(627\) | 9600.00 | 0.611463 | ||||||||
\(628\) | −8984.00 | −0.570861 | ||||||||
\(629\) | 2244.00 | 0.142248 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −26848.0 | −1.69382 | −0.846911 | − | 0.531734i | \(-0.821541\pi\) | ||||
−0.846911 | + | 0.531734i | \(0.821541\pi\) | |||||||
\(632\) | −1280.00 | −0.0805628 | ||||||||
\(633\) | −21344.0 | −1.34020 | ||||||||
\(634\) | 20652.0 | 1.29368 | ||||||||
\(635\) | 620.000 | 0.0387464 | ||||||||
\(636\) | 7104.00 | 0.442912 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −2160.00 | −0.134036 | ||||||||
\(639\) | 15984.0 | 0.989542 | ||||||||
\(640\) | −640.000 | −0.0395285 | ||||||||
\(641\) | 26322.0 | 1.62193 | 0.810965 | − | 0.585095i | \(-0.198943\pi\) | ||||
0.810965 | + | 0.585095i | \(0.198943\pi\) | |||||||
\(642\) | −384.000 | −0.0236063 | ||||||||
\(643\) | 10168.0 | 0.623619 | 0.311809 | − | 0.950145i | \(-0.399065\pi\) | ||||
0.311809 | + | 0.950145i | \(0.399065\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1280.00 | −0.0781395 | ||||||||
\(646\) | −13200.0 | −0.803943 | ||||||||
\(647\) | 23604.0 | 1.43426 | 0.717132 | − | 0.696937i | \(-0.245454\pi\) | ||||
0.717132 | + | 0.696937i | \(0.245454\pi\) | |||||||
\(648\) | −2872.00 | −0.174109 | ||||||||
\(649\) | −5040.00 | −0.304834 | ||||||||
\(650\) | 2900.00 | 0.174996 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2272.00 | −0.136470 | ||||||||
\(653\) | 16422.0 | 0.984139 | 0.492069 | − | 0.870556i | \(-0.336241\pi\) | ||||
0.492069 | + | 0.870556i | \(0.336241\pi\) | |||||||
\(654\) | 15200.0 | 0.908818 | ||||||||
\(655\) | 660.000 | 0.0393715 | ||||||||
\(656\) | 7008.00 | 0.417098 | ||||||||
\(657\) | −13394.0 | −0.795357 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −26100.0 | −1.54281 | −0.771405 | − | 0.636345i | \(-0.780446\pi\) | ||||
−0.771405 | + | 0.636345i | \(0.780446\pi\) | |||||||
\(660\) | −1920.00 | −0.113236 | ||||||||
\(661\) | 3058.00 | 0.179943 | 0.0899716 | − | 0.995944i | \(-0.471322\pi\) | ||||
0.0899716 | + | 0.995944i | \(0.471322\pi\) | |||||||
\(662\) | −8456.00 | −0.496453 | ||||||||
\(663\) | −30624.0 | −1.79387 | ||||||||
\(664\) | −576.000 | −0.0336644 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2516.00 | −0.146386 | ||||||||
\(667\) | −11880.0 | −0.689648 | ||||||||
\(668\) | 6096.00 | 0.353086 | ||||||||
\(669\) | −14176.0 | −0.819246 | ||||||||
\(670\) | 10240.0 | 0.590456 | ||||||||
\(671\) | −10824.0 | −0.622736 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 10802.0 | 0.618702 | 0.309351 | − | 0.950948i | \(-0.399888\pi\) | ||||
0.309351 | + | 0.950948i | \(0.399888\pi\) | |||||||
\(674\) | 2212.00 | 0.126414 | ||||||||
\(675\) | 2000.00 | 0.114044 | ||||||||
\(676\) | 4668.00 | 0.265589 | ||||||||
\(677\) | 10674.0 | 0.605960 | 0.302980 | − | 0.952997i | \(-0.402018\pi\) | ||||
0.302980 | + | 0.952997i | \(0.402018\pi\) | |||||||
\(678\) | −16608.0 | −0.940747 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 2640.00 | 0.148881 | ||||||||
\(681\) | 22272.0 | 1.25325 | ||||||||
\(682\) | −3648.00 | −0.204823 | ||||||||
\(683\) | −28608.0 | −1.60272 | −0.801358 | − | 0.598185i | \(-0.795889\pi\) | ||||
−0.801358 | + | 0.598185i | \(0.795889\pi\) | |||||||
\(684\) | 14800.0 | 0.827328 | ||||||||
\(685\) | 6270.00 | 0.349729 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −2800.00 | −0.155497 | ||||||||
\(688\) | 512.000 | 0.0283718 | ||||||||
\(689\) | 12876.0 | 0.711954 | ||||||||
\(690\) | −10560.0 | −0.582627 | ||||||||
\(691\) | 2428.00 | 0.133669 | 0.0668346 | − | 0.997764i | \(-0.478710\pi\) | ||||
0.0668346 | + | 0.997764i | \(0.478710\pi\) | |||||||
\(692\) | −14808.0 | −0.813462 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 18672.0 | 1.02130 | ||||||||
\(695\) | −14300.0 | −0.780475 | ||||||||
\(696\) | −5760.00 | −0.313696 | ||||||||
\(697\) | −28908.0 | −1.57097 | ||||||||
\(698\) | 23540.0 | 1.27651 | ||||||||
\(699\) | 15696.0 | 0.849324 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −6618.00 | −0.356574 | −0.178287 | − | 0.983979i | \(-0.557056\pi\) | ||||
−0.178287 | + | 0.983979i | \(0.557056\pi\) | |||||||
\(702\) | 9280.00 | 0.498933 | ||||||||
\(703\) | −3400.00 | −0.182409 | ||||||||
\(704\) | 768.000 | 0.0411152 | ||||||||
\(705\) | −8160.00 | −0.435920 | ||||||||
\(706\) | −16644.0 | −0.887259 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −13440.0 | −0.713427 | ||||||||
\(709\) | 20510.0 | 1.08642 | 0.543208 | − | 0.839598i | \(-0.317209\pi\) | ||||
0.543208 | + | 0.839598i | \(0.317209\pi\) | |||||||
\(710\) | −4320.00 | −0.228347 | ||||||||
\(711\) | −5920.00 | −0.312261 | ||||||||
\(712\) | −6480.00 | −0.341079 | ||||||||
\(713\) | −20064.0 | −1.05386 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3480.00 | −0.182020 | ||||||||
\(716\) | 12720.0 | 0.663923 | ||||||||
\(717\) | −34560.0 | −1.80009 | ||||||||
\(718\) | 21360.0 | 1.11023 | ||||||||
\(719\) | −31680.0 | −1.64321 | −0.821603 | − | 0.570061i | \(-0.806920\pi\) | ||||
−0.821603 | + | 0.570061i | \(0.806920\pi\) | |||||||
\(720\) | −2960.00 | −0.153212 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 6282.00 | 0.323811 | ||||||||
\(723\) | 3824.00 | 0.196703 | ||||||||
\(724\) | 8392.00 | 0.430782 | ||||||||
\(725\) | −2250.00 | −0.115259 | ||||||||
\(726\) | −18992.0 | −0.970880 | ||||||||
\(727\) | −13196.0 | −0.673195 | −0.336597 | − | 0.941649i | \(-0.609276\pi\) | ||||
−0.336597 | + | 0.941649i | \(0.609276\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −30563.0 | −1.55276 | ||||||||
\(730\) | 3620.00 | 0.183537 | ||||||||
\(731\) | −2112.00 | −0.106861 | ||||||||
\(732\) | −28864.0 | −1.45744 | ||||||||
\(733\) | −8102.00 | −0.408259 | −0.204130 | − | 0.978944i | \(-0.565436\pi\) | ||||
−0.204130 | + | 0.978944i | \(0.565436\pi\) | |||||||
\(734\) | 11768.0 | 0.591778 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4224.00 | 0.211547 | ||||||||
\(737\) | −12288.0 | −0.614158 | ||||||||
\(738\) | 32412.0 | 1.61667 | ||||||||
\(739\) | −12580.0 | −0.626201 | −0.313101 | − | 0.949720i | \(-0.601368\pi\) | ||||
−0.313101 | + | 0.949720i | \(0.601368\pi\) | |||||||
\(740\) | 680.000 | 0.0337801 | ||||||||
\(741\) | 46400.0 | 2.30033 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 29892.0 | 1.47595 | 0.737975 | − | 0.674828i | \(-0.235782\pi\) | ||||
0.737975 | + | 0.674828i | \(0.235782\pi\) | |||||||
\(744\) | −9728.00 | −0.479363 | ||||||||
\(745\) | −3750.00 | −0.184415 | ||||||||
\(746\) | −4196.00 | −0.205934 | ||||||||
\(747\) | −2664.00 | −0.130483 | ||||||||
\(748\) | −3168.00 | −0.154858 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −2000.00 | −0.0973729 | ||||||||
\(751\) | −40408.0 | −1.96339 | −0.981697 | − | 0.190450i | \(-0.939005\pi\) | ||||
−0.981697 | + | 0.190450i | \(0.939005\pi\) | |||||||
\(752\) | 3264.00 | 0.158279 | ||||||||
\(753\) | −21216.0 | −1.02676 | ||||||||
\(754\) | −10440.0 | −0.504247 | ||||||||
\(755\) | 2240.00 | 0.107976 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 32366.0 | 1.55398 | 0.776990 | − | 0.629513i | \(-0.216746\pi\) | ||||
0.776990 | + | 0.629513i | \(0.216746\pi\) | |||||||
\(758\) | 7720.00 | 0.369925 | ||||||||
\(759\) | 12672.0 | 0.606014 | ||||||||
\(760\) | −4000.00 | −0.190915 | ||||||||
\(761\) | 17238.0 | 0.821126 | 0.410563 | − | 0.911832i | \(-0.365332\pi\) | ||||
0.410563 | + | 0.911832i | \(0.365332\pi\) | |||||||
\(762\) | −1984.00 | −0.0943212 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 17568.0 | 0.831921 | ||||||||
\(765\) | 12210.0 | 0.577063 | ||||||||
\(766\) | 19176.0 | 0.904513 | ||||||||
\(767\) | −24360.0 | −1.14679 | ||||||||
\(768\) | 2048.00 | 0.0962250 | ||||||||
\(769\) | −10850.0 | −0.508792 | −0.254396 | − | 0.967100i | \(-0.581877\pi\) | ||||
−0.254396 | + | 0.967100i | \(0.581877\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 18672.0 | 0.872186 | ||||||||
\(772\) | −8632.00 | −0.402425 | ||||||||
\(773\) | −9102.00 | −0.423514 | −0.211757 | − | 0.977322i | \(-0.567919\pi\) | ||||
−0.211757 | + | 0.977322i | \(0.567919\pi\) | |||||||
\(774\) | 2368.00 | 0.109969 | ||||||||
\(775\) | −3800.00 | −0.176129 | ||||||||
\(776\) | −8848.00 | −0.409310 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −26820.0 | −1.23592 | ||||||||
\(779\) | 43800.0 | 2.01450 | ||||||||
\(780\) | −9280.00 | −0.425997 | ||||||||
\(781\) | 5184.00 | 0.237514 | ||||||||
\(782\) | −17424.0 | −0.796779 | ||||||||
\(783\) | −7200.00 | −0.328617 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 11230.0 | 0.510593 | ||||||||
\(786\) | −2112.00 | −0.0958429 | ||||||||
\(787\) | 25504.0 | 1.15517 | 0.577585 | − | 0.816330i | \(-0.303995\pi\) | ||||
0.577585 | + | 0.816330i | \(0.303995\pi\) | |||||||
\(788\) | −4296.00 | −0.194212 | ||||||||
\(789\) | −31584.0 | −1.42512 | ||||||||
\(790\) | 1600.00 | 0.0720575 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 3552.00 | 0.159362 | ||||||||
\(793\) | −52316.0 | −2.34274 | ||||||||
\(794\) | 26228.0 | 1.17229 | ||||||||
\(795\) | −8880.00 | −0.396152 | ||||||||
\(796\) | −11360.0 | −0.505835 | ||||||||
\(797\) | −14166.0 | −0.629593 | −0.314796 | − | 0.949159i | \(-0.601936\pi\) | ||||
−0.314796 | + | 0.949159i | \(0.601936\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −13464.0 | −0.596148 | ||||||||
\(800\) | 800.000 | 0.0353553 | ||||||||
\(801\) | −29970.0 | −1.32202 | ||||||||
\(802\) | −11676.0 | −0.514082 | ||||||||
\(803\) | −4344.00 | −0.190905 | ||||||||
\(804\) | −32768.0 | −1.43736 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −17632.0 | −0.770547 | ||||||||
\(807\) | −12720.0 | −0.554852 | ||||||||
\(808\) | 2064.00 | 0.0898654 | ||||||||
\(809\) | 33210.0 | 1.44327 | 0.721633 | − | 0.692276i | \(-0.243392\pi\) | ||||
0.721633 | + | 0.692276i | \(0.243392\pi\) | |||||||
\(810\) | 3590.00 | 0.155728 | ||||||||
\(811\) | −39212.0 | −1.69780 | −0.848902 | − | 0.528550i | \(-0.822736\pi\) | ||||
−0.848902 | + | 0.528550i | \(0.822736\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −39616.0 | −1.70897 | ||||||||
\(814\) | −816.000 | −0.0351361 | ||||||||
\(815\) | 2840.00 | 0.122062 | ||||||||
\(816\) | −8448.00 | −0.362425 | ||||||||
\(817\) | 3200.00 | 0.137030 | ||||||||
\(818\) | −19060.0 | −0.814691 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −8760.00 | −0.373064 | ||||||||
\(821\) | 6222.00 | 0.264494 | 0.132247 | − | 0.991217i | \(-0.457781\pi\) | ||||
0.132247 | + | 0.991217i | \(0.457781\pi\) | |||||||
\(822\) | −20064.0 | −0.851353 | ||||||||
\(823\) | 31172.0 | 1.32028 | 0.660138 | − | 0.751144i | \(-0.270498\pi\) | ||||
0.660138 | + | 0.751144i | \(0.270498\pi\) | |||||||
\(824\) | 7904.00 | 0.334161 | ||||||||
\(825\) | 2400.00 | 0.101282 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −264.000 | −0.0111006 | −0.00555029 | − | 0.999985i | \(-0.501767\pi\) | ||||
−0.00555029 | + | 0.999985i | \(0.501767\pi\) | |||||||
\(828\) | 19536.0 | 0.819955 | ||||||||
\(829\) | 29050.0 | 1.21707 | 0.608533 | − | 0.793528i | \(-0.291758\pi\) | ||||
0.608533 | + | 0.793528i | \(0.291758\pi\) | |||||||
\(830\) | 720.000 | 0.0301103 | ||||||||
\(831\) | 13168.0 | 0.549691 | ||||||||
\(832\) | 3712.00 | 0.154676 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 45760.0 | 1.89993 | ||||||||
\(835\) | −7620.00 | −0.315810 | ||||||||
\(836\) | 4800.00 | 0.198578 | ||||||||
\(837\) | −12160.0 | −0.502164 | ||||||||
\(838\) | −14520.0 | −0.598550 | ||||||||
\(839\) | 21720.0 | 0.893752 | 0.446876 | − | 0.894596i | \(-0.352537\pi\) | ||||
0.446876 | + | 0.894596i | \(0.352537\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16289.0 | −0.667883 | ||||||||
\(842\) | 24124.0 | 0.987373 | ||||||||
\(843\) | −9264.00 | −0.378492 | ||||||||
\(844\) | −10672.0 | −0.435243 | ||||||||
\(845\) | −5835.00 | −0.237550 | ||||||||
\(846\) | 15096.0 | 0.613488 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 3552.00 | 0.143840 | ||||||||
\(849\) | −55936.0 | −2.26115 | ||||||||
\(850\) | −3300.00 | −0.133164 | ||||||||
\(851\) | −4488.00 | −0.180783 | ||||||||
\(852\) | 13824.0 | 0.555871 | ||||||||
\(853\) | 6658.00 | 0.267252 | 0.133626 | − | 0.991032i | \(-0.457338\pi\) | ||||
0.133626 | + | 0.991032i | \(0.457338\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −18500.0 | −0.739984 | ||||||||
\(856\) | −192.000 | −0.00766638 | ||||||||
\(857\) | 13974.0 | 0.556993 | 0.278496 | − | 0.960437i | \(-0.410164\pi\) | ||||
0.278496 | + | 0.960437i | \(0.410164\pi\) | |||||||
\(858\) | 11136.0 | 0.443096 | ||||||||
\(859\) | −23780.0 | −0.944544 | −0.472272 | − | 0.881453i | \(-0.656566\pi\) | ||||
−0.472272 | + | 0.881453i | \(0.656566\pi\) | |||||||
\(860\) | −640.000 | −0.0253765 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −27216.0 | −1.07538 | ||||||||
\(863\) | −12228.0 | −0.482324 | −0.241162 | − | 0.970485i | \(-0.577529\pi\) | ||||
−0.241162 | + | 0.970485i | \(0.577529\pi\) | |||||||
\(864\) | 2560.00 | 0.100802 | ||||||||
\(865\) | 18510.0 | 0.727583 | ||||||||
\(866\) | 7676.00 | 0.301202 | ||||||||
\(867\) | −4456.00 | −0.174549 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1920.00 | −0.0749500 | ||||||||
\(870\) | 7200.00 | 0.280578 | ||||||||
\(871\) | −59392.0 | −2.31047 | ||||||||
\(872\) | 7600.00 | 0.295147 | ||||||||
\(873\) | −40922.0 | −1.58648 | ||||||||
\(874\) | 26400.0 | 1.02173 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −11584.0 | −0.446789 | ||||||||
\(877\) | 11606.0 | 0.446872 | 0.223436 | − | 0.974719i | \(-0.428273\pi\) | ||||
0.223436 | + | 0.974719i | \(0.428273\pi\) | |||||||
\(878\) | −14800.0 | −0.568879 | ||||||||
\(879\) | 2064.00 | 0.0792002 | ||||||||
\(880\) | −960.000 | −0.0367745 | ||||||||
\(881\) | 32958.0 | 1.26037 | 0.630183 | − | 0.776446i | \(-0.282980\pi\) | ||||
0.630183 | + | 0.776446i | \(0.282980\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 8072.00 | 0.307638 | 0.153819 | − | 0.988099i | \(-0.450843\pi\) | ||||
0.153819 | + | 0.988099i | \(0.450843\pi\) | |||||||
\(884\) | −15312.0 | −0.582577 | ||||||||
\(885\) | 16800.0 | 0.638108 | ||||||||
\(886\) | 16704.0 | 0.633388 | ||||||||
\(887\) | −15756.0 | −0.596431 | −0.298216 | − | 0.954498i | \(-0.596391\pi\) | ||||
−0.298216 | + | 0.954498i | \(0.596391\pi\) | |||||||
\(888\) | −2176.00 | −0.0822317 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 8100.00 | 0.305070 | ||||||||
\(891\) | −4308.00 | −0.161979 | ||||||||
\(892\) | −7088.00 | −0.266058 | ||||||||
\(893\) | 20400.0 | 0.764457 | ||||||||
\(894\) | 12000.0 | 0.448926 | ||||||||
\(895\) | −15900.0 | −0.593831 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 61248.0 | 2.27983 | ||||||||
\(898\) | 21540.0 | 0.800444 | ||||||||
\(899\) | 13680.0 | 0.507512 | ||||||||
\(900\) | 3700.00 | 0.137037 | ||||||||
\(901\) | −14652.0 | −0.541763 | ||||||||
\(902\) | 10512.0 | 0.388039 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −8304.00 | −0.305517 | ||||||||
\(905\) | −10490.0 | −0.385303 | ||||||||
\(906\) | −7168.00 | −0.262849 | ||||||||
\(907\) | 18776.0 | 0.687372 | 0.343686 | − | 0.939085i | \(-0.388324\pi\) | ||||
0.343686 | + | 0.939085i | \(0.388324\pi\) | |||||||
\(908\) | 11136.0 | 0.407006 | ||||||||
\(909\) | 9546.00 | 0.348318 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −20568.0 | −0.748022 | −0.374011 | − | 0.927424i | \(-0.622018\pi\) | ||||
−0.374011 | + | 0.927424i | \(0.622018\pi\) | |||||||
\(912\) | 12800.0 | 0.464748 | ||||||||
\(913\) | −864.000 | −0.0313190 | ||||||||
\(914\) | −13388.0 | −0.484503 | ||||||||
\(915\) | 36080.0 | 1.30357 | ||||||||
\(916\) | −1400.00 | −0.0504992 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −10560.0 | −0.379664 | ||||||||
\(919\) | −6280.00 | −0.225417 | −0.112708 | − | 0.993628i | \(-0.535953\pi\) | ||||
−0.112708 | + | 0.993628i | \(0.535953\pi\) | |||||||
\(920\) | −5280.00 | −0.189214 | ||||||||
\(921\) | 71552.0 | 2.55996 | ||||||||
\(922\) | 6036.00 | 0.215602 | ||||||||
\(923\) | 25056.0 | 0.893530 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −850.000 | −0.0302139 | ||||||||
\(926\) | 28984.0 | 1.02859 | ||||||||
\(927\) | 36556.0 | 1.29521 | ||||||||
\(928\) | −2880.00 | −0.101876 | ||||||||
\(929\) | 20430.0 | 0.721514 | 0.360757 | − | 0.932660i | \(-0.382518\pi\) | ||||
0.360757 | + | 0.932660i | \(0.382518\pi\) | |||||||
\(930\) | 12160.0 | 0.428755 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 7848.00 | 0.275826 | ||||||||
\(933\) | −11136.0 | −0.390757 | ||||||||
\(934\) | −15552.0 | −0.544836 | ||||||||
\(935\) | 3960.00 | 0.138509 | ||||||||
\(936\) | 17168.0 | 0.599523 | ||||||||
\(937\) | −8906.00 | −0.310508 | −0.155254 | − | 0.987875i | \(-0.549620\pi\) | ||||
−0.155254 | + | 0.987875i | \(0.549620\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 47024.0 | 1.63426 | ||||||||
\(940\) | −4080.00 | −0.141569 | ||||||||
\(941\) | 17418.0 | 0.603412 | 0.301706 | − | 0.953401i | \(-0.402444\pi\) | ||||
0.301706 | + | 0.953401i | \(0.402444\pi\) | |||||||
\(942\) | −35936.0 | −1.24295 | ||||||||
\(943\) | 57816.0 | 1.99655 | ||||||||
\(944\) | −6720.00 | −0.231692 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 768.000 | 0.0263952 | ||||||||
\(947\) | −2544.00 | −0.0872956 | −0.0436478 | − | 0.999047i | \(-0.513898\pi\) | ||||
−0.0436478 | + | 0.999047i | \(0.513898\pi\) | |||||||
\(948\) | −5120.00 | −0.175411 | ||||||||
\(949\) | −20996.0 | −0.718187 | ||||||||
\(950\) | 5000.00 | 0.170759 | ||||||||
\(951\) | 82608.0 | 2.81677 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 15402.0 | 0.523525 | 0.261763 | − | 0.965132i | \(-0.415696\pi\) | ||||
0.261763 | + | 0.965132i | \(0.415696\pi\) | |||||||
\(954\) | 16428.0 | 0.557522 | ||||||||
\(955\) | −21960.0 | −0.744093 | ||||||||
\(956\) | −17280.0 | −0.584597 | ||||||||
\(957\) | −8640.00 | −0.291841 | ||||||||
\(958\) | 27360.0 | 0.922716 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −2560.00 | −0.0860663 | ||||||||
\(961\) | −6687.00 | −0.224464 | ||||||||
\(962\) | −3944.00 | −0.132183 | ||||||||
\(963\) | −888.000 | −0.0297148 | ||||||||
\(964\) | 1912.00 | 0.0638811 | ||||||||
\(965\) | 10790.0 | 0.359940 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −49444.0 | −1.64427 | −0.822136 | − | 0.569291i | \(-0.807218\pi\) | ||||
−0.822136 | + | 0.569291i | \(0.807218\pi\) | |||||||
\(968\) | −9496.00 | −0.315303 | ||||||||
\(969\) | −52800.0 | −1.75044 | ||||||||
\(970\) | 11060.0 | 0.366098 | ||||||||
\(971\) | 25188.0 | 0.832463 | 0.416231 | − | 0.909259i | \(-0.363351\pi\) | ||||
0.416231 | + | 0.909259i | \(0.363351\pi\) | |||||||
\(972\) | −20128.0 | −0.664204 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 15832.0 | 0.520832 | ||||||||
\(975\) | 11600.0 | 0.381023 | ||||||||
\(976\) | −14432.0 | −0.473317 | ||||||||
\(977\) | 2946.00 | 0.0964697 | 0.0482348 | − | 0.998836i | \(-0.484640\pi\) | ||||
0.0482348 | + | 0.998836i | \(0.484640\pi\) | |||||||
\(978\) | −9088.00 | −0.297139 | ||||||||
\(979\) | −9720.00 | −0.317316 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 35150.0 | 1.14399 | ||||||||
\(982\) | 27864.0 | 0.905475 | ||||||||
\(983\) | −15012.0 | −0.487089 | −0.243544 | − | 0.969890i | \(-0.578310\pi\) | ||||
−0.243544 | + | 0.969890i | \(0.578310\pi\) | |||||||
\(984\) | 28032.0 | 0.908158 | ||||||||
\(985\) | 5370.00 | 0.173708 | ||||||||
\(986\) | 11880.0 | 0.383708 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 23200.0 | 0.747055 | ||||||||
\(989\) | 4224.00 | 0.135809 | ||||||||
\(990\) | −4440.00 | −0.142538 | ||||||||
\(991\) | −5128.00 | −0.164376 | −0.0821878 | − | 0.996617i | \(-0.526191\pi\) | ||||
−0.0821878 | + | 0.996617i | \(0.526191\pi\) | |||||||
\(992\) | −4864.00 | −0.155678 | ||||||||
\(993\) | −33824.0 | −1.08094 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 14200.0 | 0.452432 | ||||||||
\(996\) | −2304.00 | −0.0732982 | ||||||||
\(997\) | 49714.0 | 1.57920 | 0.789598 | − | 0.613625i | \(-0.210289\pi\) | ||||
0.789598 | + | 0.613625i | \(0.210289\pi\) | |||||||
\(998\) | −16520.0 | −0.523979 | ||||||||
\(999\) | −2720.00 | −0.0861431 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))