Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1690,4,Mod(1,1690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1690, 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("1690.1");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1690 = 2 \cdot 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1690.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: | \(99.7132279097\) |
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 | \(\chi\) | \(=\) | 1690.1 |
$q$-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 | \(-0.779644\pi\) | ||||
−0.769800 | + | 0.638285i | \(0.779644\pi\) | |||||||
\(4\) | 4.00000 | 0.500000 | ||||||||
\(5\) | −5.00000 | −0.447214 | ||||||||
\(6\) | 16.0000 | 1.08866 | ||||||||
\(7\) | 4.00000 | 0.215980 | 0.107990 | − | 0.994152i | \(-0.465559\pi\) | ||||
0.107990 | + | 0.994152i | \(0.465559\pi\) | |||||||
\(8\) | −8.00000 | −0.353553 | ||||||||
\(9\) | 37.0000 | 1.37037 | ||||||||
\(10\) | 10.0000 | 0.316228 | ||||||||
\(11\) | −12.0000 | −0.328921 | −0.164461 | − | 0.986384i | \(-0.552588\pi\) | ||||
−0.164461 | + | 0.986384i | \(0.552588\pi\) | |||||||
\(12\) | −32.0000 | −0.769800 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −8.00000 | −0.152721 | ||||||||
\(15\) | 40.0000 | 0.688530 | ||||||||
\(16\) | 16.0000 | 0.250000 | ||||||||
\(17\) | 66.0000 | 0.941609 | 0.470804 | − | 0.882238i | \(-0.343964\pi\) | ||||
0.470804 | + | 0.882238i | \(0.343964\pi\) | |||||||
\(18\) | −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 | ||||||||
\(21\) | −32.0000 | −0.332522 | ||||||||
\(22\) | 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 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −80.0000 | −0.570222 | ||||||||
\(28\) | 16.0000 | 0.107990 | ||||||||
\(29\) | −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 | ||||||||
\(35\) | −20.0000 | −0.0965891 | ||||||||
\(36\) | 148.000 | 0.685185 | ||||||||
\(37\) | 34.0000 | 0.151069 | 0.0755347 | − | 0.997143i | \(-0.475934\pi\) | ||||
0.0755347 | + | 0.997143i | \(0.475934\pi\) | |||||||
\(38\) | −200.000 | −0.853797 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 40.0000 | 0.158114 | ||||||||
\(41\) | 438.000 | 1.66839 | 0.834196 | − | 0.551467i | \(-0.185932\pi\) | ||||
0.834196 | + | 0.551467i | \(0.185932\pi\) | |||||||
\(42\) | 64.0000 | 0.235129 | ||||||||
\(43\) | 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 | ||||||||
\(49\) | −327.000 | −0.953353 | ||||||||
\(50\) | −50.0000 | −0.141421 | ||||||||
\(51\) | −528.000 | −1.44970 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 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 | ||||||||
\(56\) | −32.0000 | −0.0763604 | ||||||||
\(57\) | −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 | \(-0.104460\pi\) | ||||
0.946633 | + | 0.322312i | \(0.104460\pi\) | |||||||
\(62\) | 304.000 | 0.622710 | ||||||||
\(63\) | 148.000 | 0.295972 | ||||||||
\(64\) | 64.0000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −192.000 | −0.358084 | ||||||||
\(67\) | 1024.00 | 1.86719 | 0.933593 | − | 0.358334i | \(-0.116655\pi\) | ||||
0.933593 | + | 0.358334i | \(0.116655\pi\) | |||||||
\(68\) | 264.000 | 0.470804 | ||||||||
\(69\) | −1056.00 | −1.84243 | ||||||||
\(70\) | 40.0000 | 0.0682988 | ||||||||
\(71\) | −432.000 | −0.722098 | −0.361049 | − | 0.932547i | \(-0.617581\pi\) | ||||
−0.361049 | + | 0.932547i | \(0.617581\pi\) | |||||||
\(72\) | −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 | ||||||||
\(77\) | −48.0000 | −0.0710404 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −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 | \(0.515160\pi\) | |||||||
\(84\) | −128.000 | −0.166261 | ||||||||
\(85\) | −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 | \(0.696499\pi\) | |||||||
\(98\) | 654.000 | 0.674122 | ||||||||
\(99\) | −444.000 | −0.450744 | ||||||||
\(100\) | 100.000 | 0.100000 | ||||||||
\(101\) | −258.000 | −0.254178 | −0.127089 | − | 0.991891i | \(-0.540563\pi\) | ||||
−0.127089 | + | 0.991891i | \(0.540563\pi\) | |||||||
\(102\) | 1056.00 | 1.02509 | ||||||||
\(103\) | −988.000 | −0.945151 | −0.472575 | − | 0.881290i | \(-0.656676\pi\) | ||||
−0.472575 | + | 0.881290i | \(0.656676\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 160.000 | 0.148709 | ||||||||
\(106\) | −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 | \(-0.637059\pi\) | ||||
−0.417401 | + | 0.908722i | \(0.637059\pi\) | |||||||
\(110\) | −120.000 | −0.104014 | ||||||||
\(111\) | −272.000 | −0.232586 | ||||||||
\(112\) | 64.0000 | 0.0539949 | ||||||||
\(113\) | −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 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 840.000 | 0.655324 | ||||||||
\(119\) | 264.000 | 0.203368 | ||||||||
\(120\) | −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 | ||||||||
\(126\) | −296.000 | −0.209284 | ||||||||
\(127\) | −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 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 132.000 | 0.0880374 | 0.0440187 | − | 0.999031i | \(-0.485984\pi\) | ||||
0.0440187 | + | 0.999031i | \(0.485984\pi\) | |||||||
\(132\) | 384.000 | 0.253204 | ||||||||
\(133\) | 400.000 | 0.260785 | ||||||||
\(134\) | −2048.00 | −1.32030 | ||||||||
\(135\) | 400.000 | 0.255011 | ||||||||
\(136\) | −528.000 | −0.332909 | ||||||||
\(137\) | 1254.00 | 0.782018 | 0.391009 | − | 0.920387i | \(-0.372126\pi\) | ||||
0.391009 | + | 0.920387i | \(0.372126\pi\) | |||||||
\(138\) | 2112.00 | 1.30279 | ||||||||
\(139\) | −2860.00 | −1.74519 | −0.872597 | − | 0.488440i | \(-0.837566\pi\) | ||||
−0.872597 | + | 0.488440i | \(0.837566\pi\) | |||||||
\(140\) | −80.0000 | −0.0482945 | ||||||||
\(141\) | −1632.00 | −0.974746 | ||||||||
\(142\) | 864.000 | 0.510600 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 592.000 | 0.342593 | ||||||||
\(145\) | 450.000 | 0.257727 | ||||||||
\(146\) | 724.000 | 0.410402 | ||||||||
\(147\) | 2616.00 | 1.46778 | ||||||||
\(148\) | 136.000 | 0.0755347 | ||||||||
\(149\) | −750.000 | −0.412365 | −0.206183 | − | 0.978514i | \(-0.566104\pi\) | ||||
−0.206183 | + | 0.978514i | \(0.566104\pi\) | |||||||
\(150\) | 400.000 | 0.217732 | ||||||||
\(151\) | 448.000 | 0.241442 | 0.120721 | − | 0.992686i | \(-0.461479\pi\) | ||||
0.120721 | + | 0.992686i | \(0.461479\pi\) | |||||||
\(152\) | −800.000 | −0.426898 | ||||||||
\(153\) | 2442.00 | 1.29035 | ||||||||
\(154\) | 96.0000 | 0.0502331 | ||||||||
\(155\) | 760.000 | 0.393837 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2246.00 | 1.14172 | 0.570861 | − | 0.821047i | \(-0.306610\pi\) | ||||
0.570861 | + | 0.821047i | \(0.306610\pi\) | |||||||
\(158\) | 320.000 | 0.161126 | ||||||||
\(159\) | −1776.00 | −0.885824 | ||||||||
\(160\) | 160.000 | 0.0790569 | ||||||||
\(161\) | 528.000 | 0.258461 | ||||||||
\(162\) | 718.000 | 0.348219 | ||||||||
\(163\) | 568.000 | 0.272940 | 0.136470 | − | 0.990644i | \(-0.456424\pi\) | ||||
0.136470 | + | 0.990644i | \(0.456424\pi\) | |||||||
\(164\) | 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 | \(0.385132\pi\) | |||||||
\(168\) | 256.000 | 0.117564 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 660.000 | 0.297763 | ||||||||
\(171\) | 3700.00 | 1.65466 | ||||||||
\(172\) | 128.000 | 0.0567437 | ||||||||
\(173\) | 3702.00 | 1.62692 | 0.813462 | − | 0.581618i | \(-0.197580\pi\) | ||||
0.813462 | + | 0.581618i | \(0.197580\pi\) | |||||||
\(174\) | −1440.00 | −0.627391 | ||||||||
\(175\) | 100.000 | 0.0431959 | ||||||||
\(176\) | −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 | \(-0.641762\pi\) | ||||
−0.430782 | + | 0.902456i | \(0.641762\pi\) | |||||||
\(182\) | 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 | ||||||||
\(189\) | −320.000 | −0.123156 | ||||||||
\(190\) | 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 | \(-0.368167\pi\) | ||||
0.402425 | + | 0.915453i | \(0.368167\pi\) | |||||||
\(194\) | 2212.00 | 0.818620 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1308.00 | −0.476676 | ||||||||
\(197\) | 1074.00 | 0.388423 | 0.194212 | − | 0.980960i | \(-0.437785\pi\) | ||||
0.194212 | + | 0.980960i | \(0.437785\pi\) | |||||||
\(198\) | 888.000 | 0.318724 | ||||||||
\(199\) | 2840.00 | 1.01167 | 0.505835 | − | 0.862630i | \(-0.331185\pi\) | ||||
0.505835 | + | 0.862630i | \(0.331185\pi\) | |||||||
\(200\) | −200.000 | −0.0707107 | ||||||||
\(201\) | −8192.00 | −2.87472 | ||||||||
\(202\) | 516.000 | 0.179731 | ||||||||
\(203\) | −360.000 | −0.124468 | ||||||||
\(204\) | −2112.00 | −0.724851 | ||||||||
\(205\) | −2190.00 | −0.746128 | ||||||||
\(206\) | 1976.00 | 0.668323 | ||||||||
\(207\) | 4884.00 | 1.63991 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1200.00 | −0.397157 | ||||||||
\(210\) | −320.000 | −0.105153 | ||||||||
\(211\) | −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 | ||||||||
\(217\) | −608.000 | −0.190202 | ||||||||
\(218\) | 1900.00 | 0.590295 | ||||||||
\(219\) | 2896.00 | 0.893578 | ||||||||
\(220\) | 240.000 | 0.0735491 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 544.000 | 0.164463 | ||||||||
\(223\) | −1772.00 | −0.532116 | −0.266058 | − | 0.963957i | \(-0.585721\pi\) | ||||
−0.266058 | + | 0.963957i | \(0.585721\pi\) | |||||||
\(224\) | −128.000 | −0.0381802 | ||||||||
\(225\) | 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 | ||||||||
\(231\) | 384.000 | 0.109374 | ||||||||
\(232\) | 720.000 | 0.203751 | ||||||||
\(233\) | 1962.00 | 0.551652 | 0.275826 | − | 0.961208i | \(-0.411049\pi\) | ||||
0.275826 | + | 0.961208i | \(0.411049\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1020.00 | −0.283138 | ||||||||
\(236\) | −1680.00 | −0.463384 | ||||||||
\(237\) | 1280.00 | 0.350823 | ||||||||
\(238\) | −528.000 | −0.143803 | ||||||||
\(239\) | 4320.00 | 1.16919 | 0.584597 | − | 0.811324i | \(-0.301252\pi\) | ||||
0.584597 | + | 0.811324i | \(0.301252\pi\) | |||||||
\(240\) | 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 | ||||||||
\(245\) | 1635.00 | 0.426352 | ||||||||
\(246\) | 7008.00 | 1.81632 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 1216.00 | 0.311355 | ||||||||
\(249\) | 576.000 | 0.146596 | ||||||||
\(250\) | 250.000 | 0.0632456 | ||||||||
\(251\) | 2652.00 | 0.666903 | 0.333452 | − | 0.942767i | \(-0.391787\pi\) | ||||
0.333452 | + | 0.942767i | \(0.391787\pi\) | |||||||
\(252\) | 592.000 | 0.147986 | ||||||||
\(253\) | −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 | \(-0.591413\pi\) | ||||
−0.283251 | + | 0.959046i | \(0.591413\pi\) | |||||||
\(258\) | 512.000 | 0.123549 | ||||||||
\(259\) | 136.000 | 0.0326279 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −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 | ||||||||
\(266\) | −800.000 | −0.184403 | ||||||||
\(267\) | 6480.00 | 1.48528 | ||||||||
\(268\) | 4096.00 | 0.933593 | ||||||||
\(269\) | 1590.00 | 0.360387 | 0.180193 | − | 0.983631i | \(-0.442328\pi\) | ||||
0.180193 | + | 0.983631i | \(0.442328\pi\) | |||||||
\(270\) | −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 | ||||||||
\(280\) | 160.000 | 0.0341494 | ||||||||
\(281\) | 1158.00 | 0.245838 | 0.122919 | − | 0.992417i | \(-0.460774\pi\) | ||||
0.122919 | + | 0.992417i | \(0.460774\pi\) | |||||||
\(282\) | 3264.00 | 0.689250 | ||||||||
\(283\) | 6992.00 | 1.46866 | 0.734331 | − | 0.678792i | \(-0.237496\pi\) | ||||
0.734331 | + | 0.678792i | \(0.237496\pi\) | |||||||
\(284\) | −1728.00 | −0.361049 | ||||||||
\(285\) | 4000.00 | 0.831367 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1752.00 | 0.360339 | ||||||||
\(288\) | −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 | \(0.491812\pi\) | |||||||
\(294\) | −5232.00 | −1.03788 | ||||||||
\(295\) | 2100.00 | 0.414463 | ||||||||
\(296\) | −272.000 | −0.0534111 | ||||||||
\(297\) | 960.000 | 0.187558 | ||||||||
\(298\) | 1500.00 | 0.291586 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −800.000 | −0.153960 | ||||||||
\(301\) | 128.000 | 0.0245110 | ||||||||
\(302\) | −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 | \(0.187557\pi\) | |||||||
\(308\) | −192.000 | −0.0355202 | ||||||||
\(309\) | 7904.00 | 1.45515 | ||||||||
\(310\) | −1520.00 | −0.278485 | ||||||||
\(311\) | 1392.00 | 0.253804 | 0.126902 | − | 0.991915i | \(-0.459497\pi\) | ||||
0.126902 | + | 0.991915i | \(0.459497\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5878.00 | −1.06148 | −0.530742 | − | 0.847534i | \(-0.678087\pi\) | ||||
−0.530742 | + | 0.847534i | \(0.678087\pi\) | |||||||
\(314\) | −4492.00 | −0.807319 | ||||||||
\(315\) | −740.000 | −0.132363 | ||||||||
\(316\) | −640.000 | −0.113933 | ||||||||
\(317\) | −10326.0 | −1.82955 | −0.914773 | − | 0.403969i | \(-0.867630\pi\) | ||||
−0.914773 | + | 0.403969i | \(0.867630\pi\) | |||||||
\(318\) | 3552.00 | 0.626372 | ||||||||
\(319\) | 1080.00 | 0.189556 | ||||||||
\(320\) | −320.000 | −0.0559017 | ||||||||
\(321\) | 192.000 | 0.0333844 | ||||||||
\(322\) | −1056.00 | −0.182760 | ||||||||
\(323\) | 6600.00 | 1.13695 | ||||||||
\(324\) | −1436.00 | −0.246228 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −1136.00 | −0.192998 | ||||||||
\(327\) | 7600.00 | 1.28526 | ||||||||
\(328\) | −3504.00 | −0.589866 | ||||||||
\(329\) | 816.000 | 0.136740 | ||||||||
\(330\) | 960.000 | 0.160140 | ||||||||
\(331\) | 4228.00 | 0.702090 | 0.351045 | − | 0.936359i | \(-0.385826\pi\) | ||||
0.351045 | + | 0.936359i | \(0.385826\pi\) | |||||||
\(332\) | −288.000 | −0.0476086 | ||||||||
\(333\) | 1258.00 | 0.207021 | ||||||||
\(334\) | −3048.00 | −0.499339 | ||||||||
\(335\) | −5120.00 | −0.835031 | ||||||||
\(336\) | −512.000 | −0.0831306 | ||||||||
\(337\) | 1106.00 | 0.178776 | 0.0893882 | − | 0.995997i | \(-0.471509\pi\) | ||||
0.0893882 | + | 0.995997i | \(0.471509\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 8304.00 | 1.33042 | ||||||||
\(340\) | −1320.00 | −0.210550 | ||||||||
\(341\) | 1824.00 | 0.289663 | ||||||||
\(342\) | −7400.00 | −1.17002 | ||||||||
\(343\) | −2680.00 | −0.421885 | ||||||||
\(344\) | −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 | \(0.141636\pi\) | |||||||
\(350\) | −200.000 | −0.0305441 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 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 | ||||||||
\(357\) | −2112.00 | −0.313106 | ||||||||
\(358\) | −6360.00 | −0.938929 | ||||||||
\(359\) | −10680.0 | −1.57011 | −0.785054 | − | 0.619427i | \(-0.787365\pi\) | ||||
−0.785054 | + | 0.619427i | \(0.787365\pi\) | |||||||
\(360\) | 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 | \(-0.637426\pi\) | ||||
−0.418450 | + | 0.908240i | \(0.637426\pi\) | |||||||
\(368\) | 2112.00 | 0.299173 | ||||||||
\(369\) | 16206.0 | 2.28632 | ||||||||
\(370\) | 340.000 | 0.0477723 | ||||||||
\(371\) | 888.000 | 0.124266 | ||||||||
\(372\) | 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 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 640.000 | 0.0870848 | ||||||||
\(379\) | −3860.00 | −0.523153 | −0.261576 | − | 0.965183i | \(-0.584242\pi\) | ||||
−0.261576 | + | 0.965183i | \(0.584242\pi\) | |||||||
\(380\) | −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 | ||||||||
\(385\) | 240.000 | 0.0317702 | ||||||||
\(386\) | −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 | \(0.838434\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8712.00 | 1.12682 | ||||||||
\(392\) | 2616.00 | 0.337061 | ||||||||
\(393\) | −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 | ||||||||
\(399\) | −3200.00 | −0.401505 | ||||||||
\(400\) | 400.000 | 0.0500000 | ||||||||
\(401\) | 5838.00 | 0.727022 | 0.363511 | − | 0.931590i | \(-0.381578\pi\) | ||||
0.363511 | + | 0.931590i | \(0.381578\pi\) | |||||||
\(402\) | 16384.0 | 2.03274 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −1032.00 | −0.127089 | ||||||||
\(405\) | 1795.00 | 0.220233 | ||||||||
\(406\) | 720.000 | 0.0880123 | ||||||||
\(407\) | −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 | ||||||||
\(413\) | −1680.00 | −0.200163 | ||||||||
\(414\) | −9768.00 | −1.15959 | ||||||||
\(415\) | 360.000 | 0.0425824 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 22880.0 | 2.68690 | ||||||||
\(418\) | 2400.00 | 0.280832 | ||||||||
\(419\) | 7260.00 | 0.846478 | 0.423239 | − | 0.906018i | \(-0.360893\pi\) | ||||
0.423239 | + | 0.906018i | \(0.360893\pi\) | |||||||
\(420\) | 640.000 | 0.0743543 | ||||||||
\(421\) | −12062.0 | −1.39636 | −0.698178 | − | 0.715924i | \(-0.746006\pi\) | ||||
−0.698178 | + | 0.715924i | \(0.746006\pi\) | |||||||
\(422\) | 5336.00 | 0.615527 | ||||||||
\(423\) | 7548.00 | 0.867604 | ||||||||
\(424\) | −1776.00 | −0.203420 | ||||||||
\(425\) | 1650.00 | 0.188322 | ||||||||
\(426\) | −6912.00 | −0.786121 | ||||||||
\(427\) | 3608.00 | 0.408907 | ||||||||
\(428\) | −96.0000 | −0.0108419 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 320.000 | 0.0358878 | ||||||||
\(431\) | 13608.0 | 1.52082 | 0.760411 | − | 0.649442i | \(-0.224998\pi\) | ||||
0.760411 | + | 0.649442i | \(0.224998\pi\) | |||||||
\(432\) | −1280.00 | −0.142556 | ||||||||
\(433\) | −3838.00 | −0.425964 | −0.212982 | − | 0.977056i | \(-0.568318\pi\) | ||||
−0.212982 | + | 0.977056i | \(0.568318\pi\) | |||||||
\(434\) | 1216.00 | 0.134493 | ||||||||
\(435\) | −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 | \(-0.368225\pi\) | ||||
0.402258 | + | 0.915526i | \(0.368225\pi\) | |||||||
\(440\) | −480.000 | −0.0520071 | ||||||||
\(441\) | −12099.0 | −1.30645 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 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 | ||||||||
\(448\) | 256.000 | 0.0269975 | ||||||||
\(449\) | −10770.0 | −1.13200 | −0.566000 | − | 0.824405i | \(-0.691510\pi\) | ||||
−0.566000 | + | 0.824405i | \(0.691510\pi\) | |||||||
\(450\) | −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 | \(-0.388694\pi\) | ||||
0.342595 | + | 0.939483i | \(0.388694\pi\) | |||||||
\(458\) | 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 | \(0.451283\pi\) | |||||||
\(462\) | −768.000 | −0.0773389 | ||||||||
\(463\) | −14492.0 | −1.45464 | −0.727322 | − | 0.686296i | \(-0.759235\pi\) | ||||
−0.727322 | + | 0.686296i | \(0.759235\pi\) | |||||||
\(464\) | −1440.00 | −0.144074 | ||||||||
\(465\) | −6080.00 | −0.606351 | ||||||||
\(466\) | −3924.00 | −0.390077 | ||||||||
\(467\) | 7776.00 | 0.770515 | 0.385257 | − | 0.922809i | \(-0.374113\pi\) | ||||
0.385257 | + | 0.922809i | \(0.374113\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4096.00 | 0.403274 | ||||||||
\(470\) | 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 | ||||||||
\(476\) | 1056.00 | 0.101684 | ||||||||
\(477\) | 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 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −956.000 | −0.0903415 | ||||||||
\(483\) | −4224.00 | −0.397927 | ||||||||
\(484\) | −4748.00 | −0.445905 | ||||||||
\(485\) | 5530.00 | 0.517741 | ||||||||
\(486\) | −10064.0 | −0.939326 | ||||||||
\(487\) | −7916.00 | −0.736567 | −0.368284 | − | 0.929714i | \(-0.620054\pi\) | ||||
−0.368284 | + | 0.929714i | \(0.620054\pi\) | |||||||
\(488\) | −7216.00 | −0.669371 | ||||||||
\(489\) | −4544.00 | −0.420218 | ||||||||
\(490\) | −3270.00 | −0.301477 | ||||||||
\(491\) | 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 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2220.00 | 0.201579 | ||||||||
\(496\) | −2432.00 | −0.220161 | ||||||||
\(497\) | −1728.00 | −0.155959 | ||||||||
\(498\) | −1152.00 | −0.103659 | ||||||||
\(499\) | 8260.00 | 0.741019 | 0.370509 | − | 0.928829i | \(-0.379183\pi\) | ||||
0.370509 | + | 0.928829i | \(0.379183\pi\) | |||||||
\(500\) | −500.000 | −0.0447214 | ||||||||
\(501\) | −12192.0 | −1.08722 | ||||||||
\(502\) | −5304.00 | −0.471572 | ||||||||
\(503\) | −11148.0 | −0.988200 | −0.494100 | − | 0.869405i | \(-0.664502\pi\) | ||||
−0.494100 | + | 0.869405i | \(0.664502\pi\) | |||||||
\(504\) | −1184.00 | −0.104642 | ||||||||
\(505\) | 1290.00 | 0.113672 | ||||||||
\(506\) | 3168.00 | 0.278330 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −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 | ||||||||
\(511\) | −1448.00 | −0.125354 | ||||||||
\(512\) | −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 | ||||||||
\(518\) | −272.000 | −0.0230714 | ||||||||
\(519\) | −29616.0 | −2.50481 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −16038.0 | −1.34863 | −0.674316 | − | 0.738443i | \(-0.735562\pi\) | ||||
−0.674316 | + | 0.738443i | \(0.735562\pi\) | |||||||
\(522\) | 6660.00 | 0.558430 | ||||||||
\(523\) | 992.000 | 0.0829391 | 0.0414695 | − | 0.999140i | \(-0.486796\pi\) | ||||
0.0414695 | + | 0.999140i | \(0.486796\pi\) | |||||||
\(524\) | 528.000 | 0.0440187 | ||||||||
\(525\) | −800.000 | −0.0665045 | ||||||||
\(526\) | 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 | ||||||||
\(532\) | 1600.00 | 0.130392 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −12960.0 | −1.05025 | ||||||||
\(535\) | 120.000 | 0.00969729 | ||||||||
\(536\) | −8192.00 | −0.660150 | ||||||||
\(537\) | −25440.0 | −2.04435 | ||||||||
\(538\) | −3180.00 | −0.254832 | ||||||||
\(539\) | 3924.00 | 0.313578 | ||||||||
\(540\) | 1600.00 | 0.127506 | ||||||||
\(541\) | −7142.00 | −0.567576 | −0.283788 | − | 0.958887i | \(-0.591591\pi\) | ||||
−0.283788 | + | 0.958887i | \(0.591591\pi\) | |||||||
\(542\) | 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 | ||||||||
\(553\) | −640.000 | −0.0492144 | ||||||||
\(554\) | −3292.00 | −0.252462 | ||||||||
\(555\) | 1360.00 | 0.104016 | ||||||||
\(556\) | −11440.0 | −0.872597 | ||||||||
\(557\) | 10314.0 | 0.784593 | 0.392296 | − | 0.919839i | \(-0.371681\pi\) | ||||
0.392296 | + | 0.919839i | \(0.371681\pi\) | |||||||
\(558\) | 11248.0 | 0.853344 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −320.000 | −0.0241473 | ||||||||
\(561\) | 6336.00 | 0.476838 | ||||||||
\(562\) | −2316.00 | −0.173834 | ||||||||
\(563\) | −7128.00 | −0.533587 | −0.266793 | − | 0.963754i | \(-0.585964\pi\) | ||||
−0.266793 | + | 0.963754i | \(0.585964\pi\) | |||||||
\(564\) | −6528.00 | −0.487373 | ||||||||
\(565\) | 5190.00 | 0.386451 | ||||||||
\(566\) | −13984.0 | −1.03850 | ||||||||
\(567\) | −1436.00 | −0.106360 | ||||||||
\(568\) | 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 | \(0.823233\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −35136.0 | −2.56165 | ||||||||
\(574\) | −3504.00 | −0.254798 | ||||||||
\(575\) | 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 | ||||||||
\(581\) | −288.000 | −0.0205650 | ||||||||
\(582\) | −17696.0 | −1.26035 | ||||||||
\(583\) | −2664.00 | −0.189248 | ||||||||
\(584\) | 2896.00 | 0.205201 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −516.000 | −0.0363750 | ||||||||
\(587\) | −22776.0 | −1.60148 | −0.800738 | − | 0.599015i | \(-0.795559\pi\) | ||||
−0.800738 | + | 0.599015i | \(0.795559\pi\) | |||||||
\(588\) | 10464.0 | 0.733891 | ||||||||
\(589\) | −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 | ||||||||
\(595\) | −1320.00 | −0.0909491 | ||||||||
\(596\) | −3000.00 | −0.206183 | ||||||||
\(597\) | −22720.0 | −1.55757 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 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 | \(-0.436032\pi\) | ||||
0.199610 | + | 0.979875i | \(0.436032\pi\) | |||||||
\(602\) | −256.000 | −0.0173319 | ||||||||
\(603\) | 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 | \(-0.408098\pi\) | ||||
0.284723 | + | 0.958610i | \(0.408098\pi\) | |||||||
\(608\) | −3200.00 | −0.213449 | ||||||||
\(609\) | 2880.00 | 0.191631 | ||||||||
\(610\) | 9020.00 | 0.598703 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 9768.00 | 0.645176 | ||||||||
\(613\) | −8462.00 | −0.557548 | −0.278774 | − | 0.960357i | \(-0.589928\pi\) | ||||
−0.278774 | + | 0.960357i | \(0.589928\pi\) | |||||||
\(614\) | −17888.0 | −1.17573 | ||||||||
\(615\) | 17520.0 | 1.14874 | ||||||||
\(616\) | 384.000 | 0.0251166 | ||||||||
\(617\) | 11094.0 | 0.723870 | 0.361935 | − | 0.932203i | \(-0.382116\pi\) | ||||
0.361935 | + | 0.932203i | \(0.382116\pi\) | |||||||
\(618\) | −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 | ||||||||
\(623\) | −3240.00 | −0.208359 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 625.000 | 0.0400000 | ||||||||
\(626\) | 11756.0 | 0.750582 | ||||||||
\(627\) | 9600.00 | 0.611463 | ||||||||
\(628\) | 8984.00 | 0.570861 | ||||||||
\(629\) | 2244.00 | 0.142248 | ||||||||
\(630\) | 1480.00 | 0.0935946 | ||||||||
\(631\) | 26848.0 | 1.69382 | 0.846911 | − | 0.531734i | \(-0.178459\pi\) | ||||
0.846911 | + | 0.531734i | \(0.178459\pi\) | |||||||
\(632\) | 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 | \(0.399065\pi\) | |||||||
\(644\) | 2112.00 | 0.129231 | ||||||||
\(645\) | 1280.00 | 0.0781395 | ||||||||
\(646\) | −13200.0 | −0.803943 | ||||||||
\(647\) | −23604.0 | −1.43426 | −0.717132 | − | 0.696937i | \(-0.754546\pi\) | ||||
−0.717132 | + | 0.696937i | \(0.754546\pi\) | |||||||
\(648\) | 2872.00 | 0.174109 | ||||||||
\(649\) | 5040.00 | 0.304834 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4864.00 | 0.292834 | ||||||||
\(652\) | 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 | ||||||||
\(658\) | −1632.00 | −0.0966899 | ||||||||
\(659\) | −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 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 576.000 | 0.0336644 | ||||||||
\(665\) | −2000.00 | −0.116627 | ||||||||
\(666\) | −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 | ||||||||
\(672\) | 1024.00 | 0.0587822 | ||||||||
\(673\) | 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 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −10674.0 | −0.605960 | −0.302980 | − | 0.952997i | \(-0.597982\pi\) | ||||
−0.302980 | + | 0.952997i | \(0.597982\pi\) | |||||||
\(678\) | −16608.0 | −0.940747 | ||||||||
\(679\) | −4424.00 | −0.250041 | ||||||||
\(680\) | 2640.00 | 0.148881 | ||||||||
\(681\) | −22272.0 | −1.25325 | ||||||||
\(682\) | −3648.00 | −0.204823 | ||||||||
\(683\) | 28608.0 | 1.60272 | 0.801358 | − | 0.598185i | \(-0.204111\pi\) | ||||
0.801358 | + | 0.598185i | \(0.204111\pi\) | |||||||
\(684\) | 14800.0 | 0.827328 | ||||||||
\(685\) | −6270.00 | −0.349729 | ||||||||
\(686\) | 5360.00 | 0.298317 | ||||||||
\(687\) | 2800.00 | 0.155497 | ||||||||
\(688\) | 512.000 | 0.0283718 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −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 | ||||||||
\(693\) | −1776.00 | −0.0973516 | ||||||||
\(694\) | −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 | ||||||||
\(700\) | 400.000 | 0.0215980 | ||||||||
\(701\) | −6618.00 | −0.356574 | −0.178287 | − | 0.983979i | \(-0.557056\pi\) | ||||
−0.178287 | + | 0.983979i | \(0.557056\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3400.00 | 0.182409 | ||||||||
\(704\) | −768.000 | −0.0411152 | ||||||||
\(705\) | 8160.00 | 0.435920 | ||||||||
\(706\) | 16644.0 | 0.887259 | ||||||||
\(707\) | −1032.00 | −0.0548972 | ||||||||
\(708\) | 13440.0 | 0.713427 | ||||||||
\(709\) | −20510.0 | −1.08642 | −0.543208 | − | 0.839598i | \(-0.682791\pi\) | ||||
−0.543208 | + | 0.839598i | \(0.682791\pi\) | |||||||
\(710\) | −4320.00 | −0.228347 | ||||||||
\(711\) | −5920.00 | −0.312261 | ||||||||
\(712\) | 6480.00 | 0.341079 | ||||||||
\(713\) | −20064.0 | −1.05386 | ||||||||
\(714\) | 4224.00 | 0.221399 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 12720.0 | 0.663923 | ||||||||
\(717\) | −34560.0 | −1.80009 | ||||||||
\(718\) | 21360.0 | 1.11023 | ||||||||
\(719\) | 31680.0 | 1.64321 | 0.821603 | − | 0.570061i | \(-0.193080\pi\) | ||||
0.821603 | + | 0.570061i | \(0.193080\pi\) | |||||||
\(720\) | −2960.00 | −0.153212 | ||||||||
\(721\) | −3952.00 | −0.204133 | ||||||||
\(722\) | −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 | \(-0.390724\pi\) | ||||
0.336597 | + | 0.941649i | \(0.390724\pi\) | |||||||
\(728\) | 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 | ||||||||
\(735\) | −13080.0 | −0.656412 | ||||||||
\(736\) | −4224.00 | −0.211547 | ||||||||
\(737\) | −12288.0 | −0.614158 | ||||||||
\(738\) | −32412.0 | −1.61667 | ||||||||
\(739\) | 12580.0 | 0.626201 | 0.313101 | − | 0.949720i | \(-0.398632\pi\) | ||||
0.313101 | + | 0.949720i | \(0.398632\pi\) | |||||||
\(740\) | −680.000 | −0.0337801 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1776.00 | −0.0878693 | ||||||||
\(743\) | −29892.0 | −1.47595 | −0.737975 | − | 0.674828i | \(-0.764218\pi\) | ||||
−0.737975 | + | 0.674828i | \(0.764218\pi\) | |||||||
\(744\) | −9728.00 | −0.479363 | ||||||||
\(745\) | 3750.00 | 0.184415 | ||||||||
\(746\) | 4196.00 | 0.205934 | ||||||||
\(747\) | −2664.00 | −0.130483 | ||||||||
\(748\) | −3168.00 | −0.154858 | ||||||||
\(749\) | −96.0000 | −0.00468326 | ||||||||
\(750\) | −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 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −2240.00 | −0.107976 | ||||||||
\(756\) | −1280.00 | −0.0615782 | ||||||||
\(757\) | 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 | ||||||||
\(763\) | −3800.00 | −0.180300 | ||||||||
\(764\) | 17568.0 | 0.831921 | ||||||||
\(765\) | −12210.0 | −0.577063 | ||||||||
\(766\) | −19176.0 | −0.904513 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −2048.00 | −0.0962250 | ||||||||
\(769\) | −10850.0 | −0.508792 | −0.254396 | − | 0.967100i | \(-0.581877\pi\) | ||||
−0.254396 | + | 0.967100i | \(0.581877\pi\) | |||||||
\(770\) | −480.000 | −0.0224649 | ||||||||
\(771\) | 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 | ||||||||
\(777\) | −1088.00 | −0.0502340 | ||||||||
\(778\) | 26820.0 | 1.23592 | ||||||||
\(779\) | 43800.0 | 2.01450 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5184.00 | 0.237514 | ||||||||
\(782\) | −17424.0 | −0.796779 | ||||||||
\(783\) | 7200.00 | 0.328617 | ||||||||
\(784\) | −5232.00 | −0.238338 | ||||||||
\(785\) | −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 | ||||||||
\(791\) | −4152.00 | −0.186635 | ||||||||
\(792\) | 3552.00 | 0.159362 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −26228.0 | −1.17229 | ||||||||
\(795\) | 8880.00 | 0.396152 | ||||||||
\(796\) | 11360.0 | 0.505835 | ||||||||
\(797\) | 14166.0 | 0.629593 | 0.314796 | − | 0.949159i | \(-0.398064\pi\) | ||||
0.314796 | + | 0.949159i | \(0.398064\pi\) | |||||||
\(798\) | 6400.00 | 0.283907 | ||||||||
\(799\) | 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 | ||||||||
\(805\) | −2640.00 | −0.115587 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −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 | \(0.822736\pi\) | |||||||
\(812\) | −1440.00 | −0.0622341 | ||||||||
\(813\) | 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 | \(-0.542219\pi\) | ||||
−0.132247 | + | 0.991217i | \(0.542219\pi\) | |||||||
\(822\) | 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 | ||||||||
\(826\) | 3360.00 | 0.141537 | ||||||||
\(827\) | 264.000 | 0.0111006 | 0.00555029 | − | 0.999985i | \(-0.498233\pi\) | ||||
0.00555029 | + | 0.999985i | \(0.498233\pi\) | |||||||
\(828\) | 19536.0 | 0.819955 | ||||||||
\(829\) | −29050.0 | −1.21707 | −0.608533 | − | 0.793528i | \(-0.708242\pi\) | ||||
−0.608533 | + | 0.793528i | \(0.708242\pi\) | |||||||
\(830\) | −720.000 | −0.0301103 | ||||||||
\(831\) | −13168.0 | −0.549691 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −21582.0 | −0.897685 | ||||||||
\(834\) | −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 | \(0.352537\pi\) | |||||||
\(840\) | −1280.00 | −0.0525764 | ||||||||
\(841\) | −16289.0 | −0.667883 | ||||||||
\(842\) | 24124.0 | 0.987373 | ||||||||
\(843\) | −9264.00 | −0.378492 | ||||||||
\(844\) | −10672.0 | −0.435243 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −15096.0 | −0.613488 | ||||||||
\(847\) | −4748.00 | −0.192613 | ||||||||
\(848\) | 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 | \(0.457338\pi\) | |||||||
\(854\) | −7216.00 | −0.289141 | ||||||||
\(855\) | −18500.0 | −0.739984 | ||||||||
\(856\) | 192.000 | 0.00766638 | ||||||||
\(857\) | −13974.0 | −0.556993 | −0.278496 | − | 0.960437i | \(-0.589836\pi\) | ||||
−0.278496 | + | 0.960437i | \(0.589836\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 23780.0 | 0.944544 | 0.472272 | − | 0.881453i | \(-0.343434\pi\) | ||||
0.472272 | + | 0.881453i | \(0.343434\pi\) | |||||||
\(860\) | −640.000 | −0.0253765 | ||||||||
\(861\) | −14016.0 | −0.554778 | ||||||||
\(862\) | −27216.0 | −1.07538 | ||||||||
\(863\) | 12228.0 | 0.482324 | 0.241162 | − | 0.970485i | \(-0.422471\pi\) | ||||
0.241162 | + | 0.970485i | \(0.422471\pi\) | |||||||
\(864\) | 2560.00 | 0.100802 | ||||||||
\(865\) | −18510.0 | −0.727583 | ||||||||
\(866\) | 7676.00 | 0.301202 | ||||||||
\(867\) | 4456.00 | 0.174549 | ||||||||
\(868\) | −2432.00 | −0.0951008 | ||||||||
\(869\) | 1920.00 | 0.0749500 | ||||||||
\(870\) | 7200.00 | 0.280578 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 7600.00 | 0.295147 | ||||||||
\(873\) | −40922.0 | −1.58648 | ||||||||
\(874\) | −26400.0 | −1.02173 | ||||||||
\(875\) | −500.000 | −0.0193178 | ||||||||
\(876\) | 11584.0 | 0.446789 | ||||||||
\(877\) | −11606.0 | −0.446872 | −0.223436 | − | 0.974719i | \(-0.571727\pi\) | ||||
−0.223436 | + | 0.974719i | \(0.571727\pi\) | |||||||
\(878\) | −14800.0 | −0.568879 | ||||||||
\(879\) | −2064.00 | −0.0792002 | ||||||||
\(880\) | 960.000 | 0.0367745 | ||||||||
\(881\) | −32958.0 | −1.26037 | −0.630183 | − | 0.776446i | \(-0.717020\pi\) | ||||
−0.630183 | + | 0.776446i | \(0.717020\pi\) | |||||||
\(882\) | 24198.0 | 0.923797 | ||||||||
\(883\) | 8072.00 | 0.307638 | 0.153819 | − | 0.988099i | \(-0.450843\pi\) | ||||
0.153819 | + | 0.988099i | \(0.450843\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −16800.0 | −0.638108 | ||||||||
\(886\) | −16704.0 | −0.633388 | ||||||||
\(887\) | 15756.0 | 0.596431 | 0.298216 | − | 0.954498i | \(-0.403609\pi\) | ||||
0.298216 | + | 0.954498i | \(0.403609\pi\) | |||||||
\(888\) | 2176.00 | 0.0822317 | ||||||||
\(889\) | −496.000 | −0.0187124 | ||||||||
\(890\) | −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 | ||||||||
\(896\) | −512.000 | −0.0190901 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 21540.0 | 0.800444 | ||||||||
\(899\) | 13680.0 | 0.507512 | ||||||||
\(900\) | 3700.00 | 0.137037 | ||||||||
\(901\) | 14652.0 | 0.541763 | ||||||||
\(902\) | 10512.0 | 0.388039 | ||||||||
\(903\) | −1024.00 | −0.0377371 | ||||||||
\(904\) | 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 | ||||||||
\(917\) | 528.000 | 0.0190143 | ||||||||
\(918\) | 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 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 1536.00 | 0.0546869 | ||||||||
\(925\) | 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 | ||||||||
\(931\) | −32700.0 | −1.15113 | ||||||||
\(932\) | 7848.00 | 0.275826 | ||||||||
\(933\) | −11136.0 | −0.390757 | ||||||||
\(934\) | −15552.0 | −0.544836 | ||||||||
\(935\) | 3960.00 | 0.138509 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 8906.00 | 0.310508 | 0.155254 | − | 0.987875i | \(-0.450380\pi\) | ||||
0.155254 | + | 0.987875i | \(0.450380\pi\) | |||||||
\(938\) | −8192.00 | −0.285158 | ||||||||
\(939\) | 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 | ||||||||
\(945\) | 1600.00 | 0.0550773 | ||||||||
\(946\) | 768.000 | 0.0263952 | ||||||||
\(947\) | 2544.00 | 0.0872956 | 0.0436478 | − | 0.999047i | \(-0.486102\pi\) | ||||
0.0436478 | + | 0.999047i | \(0.486102\pi\) | |||||||
\(948\) | 5120.00 | 0.175411 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −5000.00 | −0.170759 | ||||||||
\(951\) | 82608.0 | 2.81677 | ||||||||
\(952\) | −2112.00 | −0.0719016 | ||||||||
\(953\) | 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 | ||||||||
\(959\) | 5016.00 | 0.168900 | ||||||||
\(960\) | 2560.00 | 0.0860663 | ||||||||
\(961\) | −6687.00 | −0.224464 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −888.000 | −0.0297148 | ||||||||
\(964\) | 1912.00 | 0.0638811 | ||||||||
\(965\) | −10790.0 | −0.359940 | ||||||||
\(966\) | 8448.00 | 0.281377 | ||||||||
\(967\) | 49444.0 | 1.64427 | 0.822136 | − | 0.569291i | \(-0.192782\pi\) | ||||
0.822136 | + | 0.569291i | \(0.192782\pi\) | |||||||
\(968\) | 9496.00 | 0.315303 | ||||||||
\(969\) | −52800.0 | −1.75044 | ||||||||
\(970\) | −11060.0 | −0.366098 | ||||||||
\(971\) | −25188.0 | −0.832463 | −0.416231 | − | 0.909259i | \(-0.636649\pi\) | ||||
−0.416231 | + | 0.909259i | \(0.636649\pi\) | |||||||
\(972\) | 20128.0 | 0.664204 | ||||||||
\(973\) | −11440.0 | −0.376927 | ||||||||
\(974\) | 15832.0 | 0.520832 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 14432.0 | 0.473317 | ||||||||
\(977\) | −2946.00 | −0.0964697 | −0.0482348 | − | 0.998836i | \(-0.515360\pi\) | ||||
−0.0482348 | + | 0.998836i | \(0.515360\pi\) | |||||||
\(978\) | 9088.00 | 0.297139 | ||||||||
\(979\) | 9720.00 | 0.317316 | ||||||||
\(980\) | 6540.00 | 0.213176 | ||||||||
\(981\) | −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 | ||||||||
\(987\) | −6528.00 | −0.210525 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 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 | ||||||||
\(994\) | 3456.00 | 0.110279 | ||||||||
\(995\) | −14200.0 | −0.452432 | ||||||||
\(996\) | 2304.00 | 0.0732982 | ||||||||
\(997\) | −49714.0 | −1.57920 | −0.789598 | − | 0.613625i | \(-0.789711\pi\) | ||||
−0.789598 | + | 0.613625i | \(0.789711\pi\) | |||||||
\(998\) | −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 \(a_p\))