Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,4,Mod(1,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, 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("845.1");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.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: | \(49.8566139549\) |
Analytic rank: | \(1\) |
Dimension: | \(1\) |
Coefficient field: | \(\mathbb{Q}\) |
Coefficient ring: | \(\mathbb{Z}\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 5) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Character | \(\chi\) | \(=\) | 845.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.00000 | 1.41421 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(3\) | 2.00000 | 0.384900 | 0.192450 | − | 0.981307i | \(-0.438357\pi\) | ||||
0.192450 | + | 0.981307i | \(0.438357\pi\) | |||||||
\(4\) | 8.00000 | 1.00000 | ||||||||
\(5\) | 5.00000 | 0.447214 | ||||||||
\(6\) | 8.00000 | 0.544331 | ||||||||
\(7\) | −6.00000 | −0.323970 | −0.161985 | − | 0.986793i | \(-0.551790\pi\) | ||||
−0.161985 | + | 0.986793i | \(0.551790\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −23.0000 | −0.851852 | ||||||||
\(10\) | 20.0000 | 0.632456 | ||||||||
\(11\) | −32.0000 | −0.877124 | −0.438562 | − | 0.898701i | \(-0.644512\pi\) | ||||
−0.438562 | + | 0.898701i | \(0.644512\pi\) | |||||||
\(12\) | 16.0000 | 0.384900 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −24.0000 | −0.458162 | ||||||||
\(15\) | 10.0000 | 0.172133 | ||||||||
\(16\) | −64.0000 | −1.00000 | ||||||||
\(17\) | 26.0000 | 0.370937 | 0.185468 | − | 0.982650i | \(-0.440620\pi\) | ||||
0.185468 | + | 0.982650i | \(0.440620\pi\) | |||||||
\(18\) | −92.0000 | −1.20470 | ||||||||
\(19\) | −100.000 | −1.20745 | −0.603726 | − | 0.797192i | \(-0.706318\pi\) | ||||
−0.603726 | + | 0.797192i | \(0.706318\pi\) | |||||||
\(20\) | 40.0000 | 0.447214 | ||||||||
\(21\) | −12.0000 | −0.124696 | ||||||||
\(22\) | −128.000 | −1.24044 | ||||||||
\(23\) | −78.0000 | −0.707136 | −0.353568 | − | 0.935409i | \(-0.615032\pi\) | ||||
−0.353568 | + | 0.935409i | \(0.615032\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 25.0000 | 0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −100.000 | −0.712778 | ||||||||
\(28\) | −48.0000 | −0.323970 | ||||||||
\(29\) | −50.0000 | −0.320164 | −0.160082 | − | 0.987104i | \(-0.551176\pi\) | ||||
−0.160082 | + | 0.987104i | \(0.551176\pi\) | |||||||
\(30\) | 40.0000 | 0.243432 | ||||||||
\(31\) | 108.000 | 0.625722 | 0.312861 | − | 0.949799i | \(-0.398713\pi\) | ||||
0.312861 | + | 0.949799i | \(0.398713\pi\) | |||||||
\(32\) | −256.000 | −1.41421 | ||||||||
\(33\) | −64.0000 | −0.337605 | ||||||||
\(34\) | 104.000 | 0.524584 | ||||||||
\(35\) | −30.0000 | −0.144884 | ||||||||
\(36\) | −184.000 | −0.851852 | ||||||||
\(37\) | −266.000 | −1.18190 | −0.590948 | − | 0.806710i | \(-0.701246\pi\) | ||||
−0.590948 | + | 0.806710i | \(0.701246\pi\) | |||||||
\(38\) | −400.000 | −1.70759 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −22.0000 | −0.0838006 | −0.0419003 | − | 0.999122i | \(-0.513341\pi\) | ||||
−0.0419003 | + | 0.999122i | \(0.513341\pi\) | |||||||
\(42\) | −48.0000 | −0.176347 | ||||||||
\(43\) | 442.000 | 1.56754 | 0.783772 | − | 0.621049i | \(-0.213293\pi\) | ||||
0.783772 | + | 0.621049i | \(0.213293\pi\) | |||||||
\(44\) | −256.000 | −0.877124 | ||||||||
\(45\) | −115.000 | −0.380960 | ||||||||
\(46\) | −312.000 | −1.00004 | ||||||||
\(47\) | 514.000 | 1.59520 | 0.797602 | − | 0.603184i | \(-0.206101\pi\) | ||||
0.797602 | + | 0.603184i | \(0.206101\pi\) | |||||||
\(48\) | −128.000 | −0.384900 | ||||||||
\(49\) | −307.000 | −0.895044 | ||||||||
\(50\) | 100.000 | 0.282843 | ||||||||
\(51\) | 52.0000 | 0.142774 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.00000 | 0.00518342 | 0.00259171 | − | 0.999997i | \(-0.499175\pi\) | ||||
0.00259171 | + | 0.999997i | \(0.499175\pi\) | |||||||
\(54\) | −400.000 | −1.00802 | ||||||||
\(55\) | −160.000 | −0.392262 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −200.000 | −0.464748 | ||||||||
\(58\) | −200.000 | −0.452781 | ||||||||
\(59\) | −500.000 | −1.10330 | −0.551648 | − | 0.834077i | \(-0.686001\pi\) | ||||
−0.551648 | + | 0.834077i | \(0.686001\pi\) | |||||||
\(60\) | 80.0000 | 0.172133 | ||||||||
\(61\) | −518.000 | −1.08726 | −0.543632 | − | 0.839324i | \(-0.682951\pi\) | ||||
−0.543632 | + | 0.839324i | \(0.682951\pi\) | |||||||
\(62\) | 432.000 | 0.884904 | ||||||||
\(63\) | 138.000 | 0.275974 | ||||||||
\(64\) | −512.000 | −1.00000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −256.000 | −0.477446 | ||||||||
\(67\) | −126.000 | −0.229751 | −0.114876 | − | 0.993380i | \(-0.536647\pi\) | ||||
−0.114876 | + | 0.993380i | \(0.536647\pi\) | |||||||
\(68\) | 208.000 | 0.370937 | ||||||||
\(69\) | −156.000 | −0.272177 | ||||||||
\(70\) | −120.000 | −0.204896 | ||||||||
\(71\) | −412.000 | −0.688668 | −0.344334 | − | 0.938847i | \(-0.611895\pi\) | ||||
−0.344334 | + | 0.938847i | \(0.611895\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 878.000 | 1.40770 | 0.703850 | − | 0.710348i | \(-0.251463\pi\) | ||||
0.703850 | + | 0.710348i | \(0.251463\pi\) | |||||||
\(74\) | −1064.00 | −1.67145 | ||||||||
\(75\) | 50.0000 | 0.0769800 | ||||||||
\(76\) | −800.000 | −1.20745 | ||||||||
\(77\) | 192.000 | 0.284161 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 600.000 | 0.854497 | 0.427249 | − | 0.904134i | \(-0.359483\pi\) | ||||
0.427249 | + | 0.904134i | \(0.359483\pi\) | |||||||
\(80\) | −320.000 | −0.447214 | ||||||||
\(81\) | 421.000 | 0.577503 | ||||||||
\(82\) | −88.0000 | −0.118512 | ||||||||
\(83\) | −282.000 | −0.372934 | −0.186467 | − | 0.982461i | \(-0.559704\pi\) | ||||
−0.186467 | + | 0.982461i | \(0.559704\pi\) | |||||||
\(84\) | −96.0000 | −0.124696 | ||||||||
\(85\) | 130.000 | 0.165888 | ||||||||
\(86\) | 1768.00 | 2.21684 | ||||||||
\(87\) | −100.000 | −0.123231 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 150.000 | 0.178651 | 0.0893257 | − | 0.996002i | \(-0.471529\pi\) | ||||
0.0893257 | + | 0.996002i | \(0.471529\pi\) | |||||||
\(90\) | −460.000 | −0.538758 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −624.000 | −0.707136 | ||||||||
\(93\) | 216.000 | 0.240840 | ||||||||
\(94\) | 2056.00 | 2.25596 | ||||||||
\(95\) | −500.000 | −0.539989 | ||||||||
\(96\) | −512.000 | −0.544331 | ||||||||
\(97\) | −386.000 | −0.404045 | −0.202022 | − | 0.979381i | \(-0.564751\pi\) | ||||
−0.202022 | + | 0.979381i | \(0.564751\pi\) | |||||||
\(98\) | −1228.00 | −1.26578 | ||||||||
\(99\) | 736.000 | 0.747180 | ||||||||
\(100\) | 200.000 | 0.200000 | ||||||||
\(101\) | 702.000 | 0.691600 | 0.345800 | − | 0.938308i | \(-0.387608\pi\) | ||||
0.345800 | + | 0.938308i | \(0.387608\pi\) | |||||||
\(102\) | 208.000 | 0.201912 | ||||||||
\(103\) | −598.000 | −0.572065 | −0.286032 | − | 0.958220i | \(-0.592337\pi\) | ||||
−0.286032 | + | 0.958220i | \(0.592337\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −60.0000 | −0.0557657 | ||||||||
\(106\) | 8.00000 | 0.00733046 | ||||||||
\(107\) | −1194.00 | −1.07877 | −0.539385 | − | 0.842059i | \(-0.681343\pi\) | ||||
−0.539385 | + | 0.842059i | \(0.681343\pi\) | |||||||
\(108\) | −800.000 | −0.712778 | ||||||||
\(109\) | 550.000 | 0.483307 | 0.241653 | − | 0.970363i | \(-0.422310\pi\) | ||||
0.241653 | + | 0.970363i | \(0.422310\pi\) | |||||||
\(110\) | −640.000 | −0.554742 | ||||||||
\(111\) | −532.000 | −0.454912 | ||||||||
\(112\) | 384.000 | 0.323970 | ||||||||
\(113\) | 1562.00 | 1.30036 | 0.650180 | − | 0.759781i | \(-0.274694\pi\) | ||||
0.650180 | + | 0.759781i | \(0.274694\pi\) | |||||||
\(114\) | −800.000 | −0.657253 | ||||||||
\(115\) | −390.000 | −0.316241 | ||||||||
\(116\) | −400.000 | −0.320164 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2000.00 | −1.56030 | ||||||||
\(119\) | −156.000 | −0.120172 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −307.000 | −0.230654 | ||||||||
\(122\) | −2072.00 | −1.53762 | ||||||||
\(123\) | −44.0000 | −0.0322548 | ||||||||
\(124\) | 864.000 | 0.625722 | ||||||||
\(125\) | 125.000 | 0.0894427 | ||||||||
\(126\) | 552.000 | 0.390286 | ||||||||
\(127\) | 1846.00 | 1.28981 | 0.644906 | − | 0.764262i | \(-0.276897\pi\) | ||||
0.644906 | + | 0.764262i | \(0.276897\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 884.000 | 0.603348 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2208.00 | −1.47262 | −0.736312 | − | 0.676642i | \(-0.763435\pi\) | ||||
−0.736312 | + | 0.676642i | \(0.763435\pi\) | |||||||
\(132\) | −512.000 | −0.337605 | ||||||||
\(133\) | 600.000 | 0.391177 | ||||||||
\(134\) | −504.000 | −0.324918 | ||||||||
\(135\) | −500.000 | −0.318764 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 2334.00 | 1.45553 | 0.727763 | − | 0.685829i | \(-0.240560\pi\) | ||||
0.727763 | + | 0.685829i | \(0.240560\pi\) | |||||||
\(138\) | −624.000 | −0.384916 | ||||||||
\(139\) | −700.000 | −0.427146 | −0.213573 | − | 0.976927i | \(-0.568510\pi\) | ||||
−0.213573 | + | 0.976927i | \(0.568510\pi\) | |||||||
\(140\) | −240.000 | −0.144884 | ||||||||
\(141\) | 1028.00 | 0.613994 | ||||||||
\(142\) | −1648.00 | −0.973923 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1472.00 | 0.851852 | ||||||||
\(145\) | −250.000 | −0.143182 | ||||||||
\(146\) | 3512.00 | 1.99079 | ||||||||
\(147\) | −614.000 | −0.344502 | ||||||||
\(148\) | −2128.00 | −1.18190 | ||||||||
\(149\) | −2050.00 | −1.12713 | −0.563566 | − | 0.826071i | \(-0.690571\pi\) | ||||
−0.563566 | + | 0.826071i | \(0.690571\pi\) | |||||||
\(150\) | 200.000 | 0.108866 | ||||||||
\(151\) | −1852.00 | −0.998103 | −0.499052 | − | 0.866572i | \(-0.666318\pi\) | ||||
−0.499052 | + | 0.866572i | \(0.666318\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −598.000 | −0.315983 | ||||||||
\(154\) | 768.000 | 0.401865 | ||||||||
\(155\) | 540.000 | 0.279831 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2494.00 | −1.26779 | −0.633894 | − | 0.773420i | \(-0.718545\pi\) | ||||
−0.633894 | + | 0.773420i | \(0.718545\pi\) | |||||||
\(158\) | 2400.00 | 1.20844 | ||||||||
\(159\) | 4.00000 | 0.00199510 | ||||||||
\(160\) | −1280.00 | −0.632456 | ||||||||
\(161\) | 468.000 | 0.229090 | ||||||||
\(162\) | 1684.00 | 0.816713 | ||||||||
\(163\) | −2762.00 | −1.32722 | −0.663609 | − | 0.748080i | \(-0.730976\pi\) | ||||
−0.663609 | + | 0.748080i | \(0.730976\pi\) | |||||||
\(164\) | −176.000 | −0.0838006 | ||||||||
\(165\) | −320.000 | −0.150982 | ||||||||
\(166\) | −1128.00 | −0.527408 | ||||||||
\(167\) | −3126.00 | −1.44849 | −0.724243 | − | 0.689545i | \(-0.757811\pi\) | ||||
−0.724243 | + | 0.689545i | \(0.757811\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 520.000 | 0.234601 | ||||||||
\(171\) | 2300.00 | 1.02857 | ||||||||
\(172\) | 3536.00 | 1.56754 | ||||||||
\(173\) | −78.0000 | −0.0342788 | −0.0171394 | − | 0.999853i | \(-0.505456\pi\) | ||||
−0.0171394 | + | 0.999853i | \(0.505456\pi\) | |||||||
\(174\) | −400.000 | −0.174275 | ||||||||
\(175\) | −150.000 | −0.0647939 | ||||||||
\(176\) | 2048.00 | 0.877124 | ||||||||
\(177\) | −1000.00 | −0.424659 | ||||||||
\(178\) | 600.000 | 0.252651 | ||||||||
\(179\) | −1300.00 | −0.542830 | −0.271415 | − | 0.962462i | \(-0.587492\pi\) | ||||
−0.271415 | + | 0.962462i | \(0.587492\pi\) | |||||||
\(180\) | −920.000 | −0.380960 | ||||||||
\(181\) | 1742.00 | 0.715369 | 0.357685 | − | 0.933842i | \(-0.383566\pi\) | ||||
0.357685 | + | 0.933842i | \(0.383566\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1036.00 | −0.418488 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1330.00 | −0.528560 | ||||||||
\(186\) | 864.000 | 0.340600 | ||||||||
\(187\) | −832.000 | −0.325358 | ||||||||
\(188\) | 4112.00 | 1.59520 | ||||||||
\(189\) | 600.000 | 0.230918 | ||||||||
\(190\) | −2000.00 | −0.763659 | ||||||||
\(191\) | 3772.00 | 1.42897 | 0.714483 | − | 0.699653i | \(-0.246662\pi\) | ||||
0.714483 | + | 0.699653i | \(0.246662\pi\) | |||||||
\(192\) | −1024.00 | −0.384900 | ||||||||
\(193\) | 358.000 | 0.133520 | 0.0667601 | − | 0.997769i | \(-0.478734\pi\) | ||||
0.0667601 | + | 0.997769i | \(0.478734\pi\) | |||||||
\(194\) | −1544.00 | −0.571406 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2456.00 | −0.895044 | ||||||||
\(197\) | 2214.00 | 0.800716 | 0.400358 | − | 0.916359i | \(-0.368886\pi\) | ||||
0.400358 | + | 0.916359i | \(0.368886\pi\) | |||||||
\(198\) | 2944.00 | 1.05667 | ||||||||
\(199\) | −2600.00 | −0.926176 | −0.463088 | − | 0.886312i | \(-0.653259\pi\) | ||||
−0.463088 | + | 0.886312i | \(0.653259\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −252.000 | −0.0884314 | ||||||||
\(202\) | 2808.00 | 0.978070 | ||||||||
\(203\) | 300.000 | 0.103724 | ||||||||
\(204\) | 416.000 | 0.142774 | ||||||||
\(205\) | −110.000 | −0.0374767 | ||||||||
\(206\) | −2392.00 | −0.809022 | ||||||||
\(207\) | 1794.00 | 0.602375 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 3200.00 | 1.05908 | ||||||||
\(210\) | −240.000 | −0.0788646 | ||||||||
\(211\) | −1168.00 | −0.381083 | −0.190541 | − | 0.981679i | \(-0.561024\pi\) | ||||
−0.190541 | + | 0.981679i | \(0.561024\pi\) | |||||||
\(212\) | 16.0000 | 0.00518342 | ||||||||
\(213\) | −824.000 | −0.265068 | ||||||||
\(214\) | −4776.00 | −1.52561 | ||||||||
\(215\) | 2210.00 | 0.701027 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −648.000 | −0.202715 | ||||||||
\(218\) | 2200.00 | 0.683499 | ||||||||
\(219\) | 1756.00 | 0.541824 | ||||||||
\(220\) | −1280.00 | −0.392262 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −2128.00 | −0.643342 | ||||||||
\(223\) | 6478.00 | 1.94529 | 0.972643 | − | 0.232303i | \(-0.0746262\pi\) | ||||
0.972643 | + | 0.232303i | \(0.0746262\pi\) | |||||||
\(224\) | 1536.00 | 0.458162 | ||||||||
\(225\) | −575.000 | −0.170370 | ||||||||
\(226\) | 6248.00 | 1.83899 | ||||||||
\(227\) | −646.000 | −0.188883 | −0.0944417 | − | 0.995530i | \(-0.530107\pi\) | ||||
−0.0944417 | + | 0.995530i | \(0.530107\pi\) | |||||||
\(228\) | −1600.00 | −0.464748 | ||||||||
\(229\) | −3750.00 | −1.08213 | −0.541063 | − | 0.840982i | \(-0.681978\pi\) | ||||
−0.541063 | + | 0.840982i | \(0.681978\pi\) | |||||||
\(230\) | −1560.00 | −0.447232 | ||||||||
\(231\) | 384.000 | 0.109374 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1482.00 | 0.416691 | 0.208346 | − | 0.978055i | \(-0.433192\pi\) | ||||
0.208346 | + | 0.978055i | \(0.433192\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2570.00 | 0.713397 | ||||||||
\(236\) | −4000.00 | −1.10330 | ||||||||
\(237\) | 1200.00 | 0.328896 | ||||||||
\(238\) | −624.000 | −0.169949 | ||||||||
\(239\) | −1400.00 | −0.378906 | −0.189453 | − | 0.981890i | \(-0.560671\pi\) | ||||
−0.189453 | + | 0.981890i | \(0.560671\pi\) | |||||||
\(240\) | −640.000 | −0.172133 | ||||||||
\(241\) | −3022.00 | −0.807735 | −0.403867 | − | 0.914817i | \(-0.632334\pi\) | ||||
−0.403867 | + | 0.914817i | \(0.632334\pi\) | |||||||
\(242\) | −1228.00 | −0.326194 | ||||||||
\(243\) | 3542.00 | 0.935059 | ||||||||
\(244\) | −4144.00 | −1.08726 | ||||||||
\(245\) | −1535.00 | −0.400276 | ||||||||
\(246\) | −176.000 | −0.0456152 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −564.000 | −0.143542 | ||||||||
\(250\) | 500.000 | 0.126491 | ||||||||
\(251\) | −1248.00 | −0.313837 | −0.156918 | − | 0.987612i | \(-0.550156\pi\) | ||||
−0.156918 | + | 0.987612i | \(0.550156\pi\) | |||||||
\(252\) | 1104.00 | 0.275974 | ||||||||
\(253\) | 2496.00 | 0.620246 | ||||||||
\(254\) | 7384.00 | 1.82407 | ||||||||
\(255\) | 260.000 | 0.0638503 | ||||||||
\(256\) | 4096.00 | 1.00000 | ||||||||
\(257\) | 2106.00 | 0.511162 | 0.255581 | − | 0.966788i | \(-0.417733\pi\) | ||||
0.255581 | + | 0.966788i | \(0.417733\pi\) | |||||||
\(258\) | 3536.00 | 0.853263 | ||||||||
\(259\) | 1596.00 | 0.382898 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1150.00 | 0.272733 | ||||||||
\(262\) | −8832.00 | −2.08261 | ||||||||
\(263\) | −3638.00 | −0.852961 | −0.426480 | − | 0.904497i | \(-0.640247\pi\) | ||||
−0.426480 | + | 0.904497i | \(0.640247\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 10.0000 | 0.00231809 | ||||||||
\(266\) | 2400.00 | 0.553208 | ||||||||
\(267\) | 300.000 | 0.0687629 | ||||||||
\(268\) | −1008.00 | −0.229751 | ||||||||
\(269\) | −6550.00 | −1.48461 | −0.742306 | − | 0.670061i | \(-0.766268\pi\) | ||||
−0.742306 | + | 0.670061i | \(0.766268\pi\) | |||||||
\(270\) | −2000.00 | −0.450800 | ||||||||
\(271\) | 4388.00 | 0.983587 | 0.491793 | − | 0.870712i | \(-0.336342\pi\) | ||||
0.491793 | + | 0.870712i | \(0.336342\pi\) | |||||||
\(272\) | −1664.00 | −0.370937 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9336.00 | 2.05842 | ||||||||
\(275\) | −800.000 | −0.175425 | ||||||||
\(276\) | −1248.00 | −0.272177 | ||||||||
\(277\) | 546.000 | 0.118433 | 0.0592165 | − | 0.998245i | \(-0.481140\pi\) | ||||
0.0592165 | + | 0.998245i | \(0.481140\pi\) | |||||||
\(278\) | −2800.00 | −0.604075 | ||||||||
\(279\) | −2484.00 | −0.533022 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6858.00 | 1.45592 | 0.727961 | − | 0.685619i | \(-0.240468\pi\) | ||||
0.727961 | + | 0.685619i | \(0.240468\pi\) | |||||||
\(282\) | 4112.00 | 0.868319 | ||||||||
\(283\) | 9282.00 | 1.94967 | 0.974837 | − | 0.222920i | \(-0.0715588\pi\) | ||||
0.974837 | + | 0.222920i | \(0.0715588\pi\) | |||||||
\(284\) | −3296.00 | −0.688668 | ||||||||
\(285\) | −1000.00 | −0.207842 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 132.000 | 0.0271488 | ||||||||
\(288\) | 5888.00 | 1.20470 | ||||||||
\(289\) | −4237.00 | −0.862406 | ||||||||
\(290\) | −1000.00 | −0.202490 | ||||||||
\(291\) | −772.000 | −0.155517 | ||||||||
\(292\) | 7024.00 | 1.40770 | ||||||||
\(293\) | −4842.00 | −0.965436 | −0.482718 | − | 0.875776i | \(-0.660350\pi\) | ||||
−0.482718 | + | 0.875776i | \(0.660350\pi\) | |||||||
\(294\) | −2456.00 | −0.487200 | ||||||||
\(295\) | −2500.00 | −0.493409 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3200.00 | 0.625195 | ||||||||
\(298\) | −8200.00 | −1.59400 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 400.000 | 0.0769800 | ||||||||
\(301\) | −2652.00 | −0.507836 | ||||||||
\(302\) | −7408.00 | −1.41153 | ||||||||
\(303\) | 1404.00 | 0.266197 | ||||||||
\(304\) | 6400.00 | 1.20745 | ||||||||
\(305\) | −2590.00 | −0.486239 | ||||||||
\(306\) | −2392.00 | −0.446868 | ||||||||
\(307\) | 2594.00 | 0.482239 | 0.241120 | − | 0.970495i | \(-0.422485\pi\) | ||||
0.241120 | + | 0.970495i | \(0.422485\pi\) | |||||||
\(308\) | 1536.00 | 0.284161 | ||||||||
\(309\) | −1196.00 | −0.220188 | ||||||||
\(310\) | 2160.00 | 0.395741 | ||||||||
\(311\) | 7332.00 | 1.33685 | 0.668424 | − | 0.743781i | \(-0.266969\pi\) | ||||
0.668424 | + | 0.743781i | \(0.266969\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1562.00 | 0.282075 | 0.141037 | − | 0.990004i | \(-0.454956\pi\) | ||||
0.141037 | + | 0.990004i | \(0.454956\pi\) | |||||||
\(314\) | −9976.00 | −1.79292 | ||||||||
\(315\) | 690.000 | 0.123419 | ||||||||
\(316\) | 4800.00 | 0.854497 | ||||||||
\(317\) | −1426.00 | −0.252657 | −0.126328 | − | 0.991988i | \(-0.540319\pi\) | ||||
−0.126328 | + | 0.991988i | \(0.540319\pi\) | |||||||
\(318\) | 16.0000 | 0.00282150 | ||||||||
\(319\) | 1600.00 | 0.280824 | ||||||||
\(320\) | −2560.00 | −0.447214 | ||||||||
\(321\) | −2388.00 | −0.415219 | ||||||||
\(322\) | 1872.00 | 0.323983 | ||||||||
\(323\) | −2600.00 | −0.447888 | ||||||||
\(324\) | 3368.00 | 0.577503 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −11048.0 | −1.87697 | ||||||||
\(327\) | 1100.00 | 0.186025 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −3084.00 | −0.516798 | ||||||||
\(330\) | −1280.00 | −0.213520 | ||||||||
\(331\) | 4008.00 | 0.665558 | 0.332779 | − | 0.943005i | \(-0.392014\pi\) | ||||
0.332779 | + | 0.943005i | \(0.392014\pi\) | |||||||
\(332\) | −2256.00 | −0.372934 | ||||||||
\(333\) | 6118.00 | 1.00680 | ||||||||
\(334\) | −12504.0 | −2.04847 | ||||||||
\(335\) | −630.000 | −0.102748 | ||||||||
\(336\) | 768.000 | 0.124696 | ||||||||
\(337\) | 8866.00 | 1.43312 | 0.716561 | − | 0.697525i | \(-0.245715\pi\) | ||||
0.716561 | + | 0.697525i | \(0.245715\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3124.00 | 0.500509 | ||||||||
\(340\) | 1040.00 | 0.165888 | ||||||||
\(341\) | −3456.00 | −0.548835 | ||||||||
\(342\) | 9200.00 | 1.45462 | ||||||||
\(343\) | 3900.00 | 0.613936 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −780.000 | −0.121721 | ||||||||
\(346\) | −312.000 | −0.0484775 | ||||||||
\(347\) | −1714.00 | −0.265165 | −0.132583 | − | 0.991172i | \(-0.542327\pi\) | ||||
−0.132583 | + | 0.991172i | \(0.542327\pi\) | |||||||
\(348\) | −800.000 | −0.123231 | ||||||||
\(349\) | −1150.00 | −0.176384 | −0.0881921 | − | 0.996103i | \(-0.528109\pi\) | ||||
−0.0881921 | + | 0.996103i | \(0.528109\pi\) | |||||||
\(350\) | −600.000 | −0.0916324 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 8192.00 | 1.24044 | ||||||||
\(353\) | 4398.00 | 0.663122 | 0.331561 | − | 0.943434i | \(-0.392425\pi\) | ||||
0.331561 | + | 0.943434i | \(0.392425\pi\) | |||||||
\(354\) | −4000.00 | −0.600558 | ||||||||
\(355\) | −2060.00 | −0.307982 | ||||||||
\(356\) | 1200.00 | 0.178651 | ||||||||
\(357\) | −312.000 | −0.0462543 | ||||||||
\(358\) | −5200.00 | −0.767677 | ||||||||
\(359\) | −1800.00 | −0.264625 | −0.132312 | − | 0.991208i | \(-0.542240\pi\) | ||||
−0.132312 | + | 0.991208i | \(0.542240\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3141.00 | 0.457938 | ||||||||
\(362\) | 6968.00 | 1.01168 | ||||||||
\(363\) | −614.000 | −0.0887786 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4390.00 | 0.629543 | ||||||||
\(366\) | −4144.00 | −0.591832 | ||||||||
\(367\) | −5874.00 | −0.835478 | −0.417739 | − | 0.908567i | \(-0.637177\pi\) | ||||
−0.417739 | + | 0.908567i | \(0.637177\pi\) | |||||||
\(368\) | 4992.00 | 0.707136 | ||||||||
\(369\) | 506.000 | 0.0713857 | ||||||||
\(370\) | −5320.00 | −0.747496 | ||||||||
\(371\) | −12.0000 | −0.00167927 | ||||||||
\(372\) | 1728.00 | 0.240840 | ||||||||
\(373\) | −2078.00 | −0.288458 | −0.144229 | − | 0.989544i | \(-0.546070\pi\) | ||||
−0.144229 | + | 0.989544i | \(0.546070\pi\) | |||||||
\(374\) | −3328.00 | −0.460125 | ||||||||
\(375\) | 250.000 | 0.0344265 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 2400.00 | 0.326568 | ||||||||
\(379\) | −7900.00 | −1.07070 | −0.535351 | − | 0.844630i | \(-0.679821\pi\) | ||||
−0.535351 | + | 0.844630i | \(0.679821\pi\) | |||||||
\(380\) | −4000.00 | −0.539989 | ||||||||
\(381\) | 3692.00 | 0.496449 | ||||||||
\(382\) | 15088.0 | 2.02086 | ||||||||
\(383\) | 7518.00 | 1.00301 | 0.501504 | − | 0.865155i | \(-0.332780\pi\) | ||||
0.501504 | + | 0.865155i | \(0.332780\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 960.000 | 0.127081 | ||||||||
\(386\) | 1432.00 | 0.188826 | ||||||||
\(387\) | −10166.0 | −1.33531 | ||||||||
\(388\) | −3088.00 | −0.404045 | ||||||||
\(389\) | −1950.00 | −0.254162 | −0.127081 | − | 0.991892i | \(-0.540561\pi\) | ||||
−0.127081 | + | 0.991892i | \(0.540561\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2028.00 | −0.262303 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4416.00 | −0.566814 | ||||||||
\(394\) | 8856.00 | 1.13238 | ||||||||
\(395\) | 3000.00 | 0.382143 | ||||||||
\(396\) | 5888.00 | 0.747180 | ||||||||
\(397\) | −13786.0 | −1.74282 | −0.871410 | − | 0.490555i | \(-0.836794\pi\) | ||||
−0.871410 | + | 0.490555i | \(0.836794\pi\) | |||||||
\(398\) | −10400.0 | −1.30981 | ||||||||
\(399\) | 1200.00 | 0.150564 | ||||||||
\(400\) | −1600.00 | −0.200000 | ||||||||
\(401\) | −6402.00 | −0.797258 | −0.398629 | − | 0.917112i | \(-0.630514\pi\) | ||||
−0.398629 | + | 0.917112i | \(0.630514\pi\) | |||||||
\(402\) | −1008.00 | −0.125061 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 5616.00 | 0.691600 | ||||||||
\(405\) | 2105.00 | 0.258267 | ||||||||
\(406\) | 1200.00 | 0.146687 | ||||||||
\(407\) | 8512.00 | 1.03667 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −11150.0 | −1.34800 | −0.674000 | − | 0.738731i | \(-0.735425\pi\) | ||||
−0.674000 | + | 0.738731i | \(0.735425\pi\) | |||||||
\(410\) | −440.000 | −0.0530001 | ||||||||
\(411\) | 4668.00 | 0.560232 | ||||||||
\(412\) | −4784.00 | −0.572065 | ||||||||
\(413\) | 3000.00 | 0.357434 | ||||||||
\(414\) | 7176.00 | 0.851887 | ||||||||
\(415\) | −1410.00 | −0.166781 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1400.00 | −0.164408 | ||||||||
\(418\) | 12800.0 | 1.49777 | ||||||||
\(419\) | −13700.0 | −1.59735 | −0.798674 | − | 0.601764i | \(-0.794465\pi\) | ||||
−0.798674 | + | 0.601764i | \(0.794465\pi\) | |||||||
\(420\) | −480.000 | −0.0557657 | ||||||||
\(421\) | 5438.00 | 0.629529 | 0.314765 | − | 0.949170i | \(-0.398074\pi\) | ||||
0.314765 | + | 0.949170i | \(0.398074\pi\) | |||||||
\(422\) | −4672.00 | −0.538932 | ||||||||
\(423\) | −11822.0 | −1.35888 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 650.000 | 0.0741874 | ||||||||
\(426\) | −3296.00 | −0.374863 | ||||||||
\(427\) | 3108.00 | 0.352240 | ||||||||
\(428\) | −9552.00 | −1.07877 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 8840.00 | 0.991402 | ||||||||
\(431\) | −7692.00 | −0.859653 | −0.429827 | − | 0.902911i | \(-0.641425\pi\) | ||||
−0.429827 | + | 0.902911i | \(0.641425\pi\) | |||||||
\(432\) | 6400.00 | 0.712778 | ||||||||
\(433\) | −1118.00 | −0.124082 | −0.0620412 | − | 0.998074i | \(-0.519761\pi\) | ||||
−0.0620412 | + | 0.998074i | \(0.519761\pi\) | |||||||
\(434\) | −2592.00 | −0.286682 | ||||||||
\(435\) | −500.000 | −0.0551107 | ||||||||
\(436\) | 4400.00 | 0.483307 | ||||||||
\(437\) | 7800.00 | 0.853832 | ||||||||
\(438\) | 7024.00 | 0.766255 | ||||||||
\(439\) | −2600.00 | −0.282668 | −0.141334 | − | 0.989962i | \(-0.545139\pi\) | ||||
−0.141334 | + | 0.989962i | \(0.545139\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 7061.00 | 0.762445 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −11958.0 | −1.28249 | −0.641243 | − | 0.767337i | \(-0.721581\pi\) | ||||
−0.641243 | + | 0.767337i | \(0.721581\pi\) | |||||||
\(444\) | −4256.00 | −0.454912 | ||||||||
\(445\) | 750.000 | 0.0798953 | ||||||||
\(446\) | 25912.0 | 2.75105 | ||||||||
\(447\) | −4100.00 | −0.433833 | ||||||||
\(448\) | 3072.00 | 0.323970 | ||||||||
\(449\) | 17050.0 | 1.79207 | 0.896035 | − | 0.443984i | \(-0.146435\pi\) | ||||
0.896035 | + | 0.443984i | \(0.146435\pi\) | |||||||
\(450\) | −2300.00 | −0.240940 | ||||||||
\(451\) | 704.000 | 0.0735035 | ||||||||
\(452\) | 12496.0 | 1.30036 | ||||||||
\(453\) | −3704.00 | −0.384170 | ||||||||
\(454\) | −2584.00 | −0.267121 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9494.00 | 0.971796 | 0.485898 | − | 0.874016i | \(-0.338493\pi\) | ||||
0.485898 | + | 0.874016i | \(0.338493\pi\) | |||||||
\(458\) | −15000.0 | −1.53036 | ||||||||
\(459\) | −2600.00 | −0.264396 | ||||||||
\(460\) | −3120.00 | −0.316241 | ||||||||
\(461\) | 11418.0 | 1.15356 | 0.576778 | − | 0.816901i | \(-0.304310\pi\) | ||||
0.576778 | + | 0.816901i | \(0.304310\pi\) | |||||||
\(462\) | 1536.00 | 0.154678 | ||||||||
\(463\) | −7962.00 | −0.799191 | −0.399596 | − | 0.916692i | \(-0.630849\pi\) | ||||
−0.399596 | + | 0.916692i | \(0.630849\pi\) | |||||||
\(464\) | 3200.00 | 0.320164 | ||||||||
\(465\) | 1080.00 | 0.107707 | ||||||||
\(466\) | 5928.00 | 0.589290 | ||||||||
\(467\) | 6526.00 | 0.646654 | 0.323327 | − | 0.946287i | \(-0.395199\pi\) | ||||
0.323327 | + | 0.946287i | \(0.395199\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 756.000 | 0.0744325 | ||||||||
\(470\) | 10280.0 | 1.00890 | ||||||||
\(471\) | −4988.00 | −0.487972 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −14144.0 | −1.37493 | ||||||||
\(474\) | 4800.00 | 0.465129 | ||||||||
\(475\) | −2500.00 | −0.241490 | ||||||||
\(476\) | −1248.00 | −0.120172 | ||||||||
\(477\) | −46.0000 | −0.00441550 | ||||||||
\(478\) | −5600.00 | −0.535854 | ||||||||
\(479\) | −17400.0 | −1.65976 | −0.829881 | − | 0.557940i | \(-0.811592\pi\) | ||||
−0.829881 | + | 0.557940i | \(0.811592\pi\) | |||||||
\(480\) | −2560.00 | −0.243432 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −12088.0 | −1.14231 | ||||||||
\(483\) | 936.000 | 0.0881770 | ||||||||
\(484\) | −2456.00 | −0.230654 | ||||||||
\(485\) | −1930.00 | −0.180694 | ||||||||
\(486\) | 14168.0 | 1.32237 | ||||||||
\(487\) | −1166.00 | −0.108494 | −0.0542469 | − | 0.998528i | \(-0.517276\pi\) | ||||
−0.0542469 | + | 0.998528i | \(0.517276\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −5524.00 | −0.510846 | ||||||||
\(490\) | −6140.00 | −0.566075 | ||||||||
\(491\) | 7072.00 | 0.650010 | 0.325005 | − | 0.945712i | \(-0.394634\pi\) | ||||
0.325005 | + | 0.945712i | \(0.394634\pi\) | |||||||
\(492\) | −352.000 | −0.0322548 | ||||||||
\(493\) | −1300.00 | −0.118761 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3680.00 | 0.334149 | ||||||||
\(496\) | −6912.00 | −0.625722 | ||||||||
\(497\) | 2472.00 | 0.223107 | ||||||||
\(498\) | −2256.00 | −0.203000 | ||||||||
\(499\) | −100.000 | −0.00897117 | −0.00448559 | − | 0.999990i | \(-0.501428\pi\) | ||||
−0.00448559 | + | 0.999990i | \(0.501428\pi\) | |||||||
\(500\) | 1000.00 | 0.0894427 | ||||||||
\(501\) | −6252.00 | −0.557522 | ||||||||
\(502\) | −4992.00 | −0.443832 | ||||||||
\(503\) | 2602.00 | 0.230651 | 0.115325 | − | 0.993328i | \(-0.463209\pi\) | ||||
0.115325 | + | 0.993328i | \(0.463209\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3510.00 | 0.309293 | ||||||||
\(506\) | 9984.00 | 0.877160 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 14768.0 | 1.28981 | ||||||||
\(509\) | −11150.0 | −0.970953 | −0.485476 | − | 0.874250i | \(-0.661354\pi\) | ||||
−0.485476 | + | 0.874250i | \(0.661354\pi\) | |||||||
\(510\) | 1040.00 | 0.0902980 | ||||||||
\(511\) | −5268.00 | −0.456052 | ||||||||
\(512\) | 16384.0 | 1.41421 | ||||||||
\(513\) | 10000.0 | 0.860645 | ||||||||
\(514\) | 8424.00 | 0.722892 | ||||||||
\(515\) | −2990.00 | −0.255835 | ||||||||
\(516\) | 7072.00 | 0.603348 | ||||||||
\(517\) | −16448.0 | −1.39919 | ||||||||
\(518\) | 6384.00 | 0.541500 | ||||||||
\(519\) | −156.000 | −0.0131939 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3638.00 | −0.305919 | −0.152959 | − | 0.988232i | \(-0.548880\pi\) | ||||
−0.152959 | + | 0.988232i | \(0.548880\pi\) | |||||||
\(522\) | 4600.00 | 0.385702 | ||||||||
\(523\) | −2078.00 | −0.173737 | −0.0868686 | − | 0.996220i | \(-0.527686\pi\) | ||||
−0.0868686 | + | 0.996220i | \(0.527686\pi\) | |||||||
\(524\) | −17664.0 | −1.47262 | ||||||||
\(525\) | −300.000 | −0.0249392 | ||||||||
\(526\) | −14552.0 | −1.20627 | ||||||||
\(527\) | 2808.00 | 0.232103 | ||||||||
\(528\) | 4096.00 | 0.337605 | ||||||||
\(529\) | −6083.00 | −0.499959 | ||||||||
\(530\) | 40.0000 | 0.00327828 | ||||||||
\(531\) | 11500.0 | 0.939845 | ||||||||
\(532\) | 4800.00 | 0.391177 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 1200.00 | 0.0972455 | ||||||||
\(535\) | −5970.00 | −0.482440 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −2600.00 | −0.208935 | ||||||||
\(538\) | −26200.0 | −2.09956 | ||||||||
\(539\) | 9824.00 | 0.785064 | ||||||||
\(540\) | −4000.00 | −0.318764 | ||||||||
\(541\) | −5622.00 | −0.446781 | −0.223391 | − | 0.974729i | \(-0.571713\pi\) | ||||
−0.223391 | + | 0.974729i | \(0.571713\pi\) | |||||||
\(542\) | 17552.0 | 1.39100 | ||||||||
\(543\) | 3484.00 | 0.275346 | ||||||||
\(544\) | −6656.00 | −0.524584 | ||||||||
\(545\) | 2750.00 | 0.216141 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 16486.0 | 1.28865 | 0.644324 | − | 0.764753i | \(-0.277139\pi\) | ||||
0.644324 | + | 0.764753i | \(0.277139\pi\) | |||||||
\(548\) | 18672.0 | 1.45553 | ||||||||
\(549\) | 11914.0 | 0.926188 | ||||||||
\(550\) | −3200.00 | −0.248088 | ||||||||
\(551\) | 5000.00 | 0.386583 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3600.00 | −0.276831 | ||||||||
\(554\) | 2184.00 | 0.167490 | ||||||||
\(555\) | −2660.00 | −0.203443 | ||||||||
\(556\) | −5600.00 | −0.427146 | ||||||||
\(557\) | −11706.0 | −0.890483 | −0.445242 | − | 0.895410i | \(-0.646882\pi\) | ||||
−0.445242 | + | 0.895410i | \(0.646882\pi\) | |||||||
\(558\) | −9936.00 | −0.753807 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 1920.00 | 0.144884 | ||||||||
\(561\) | −1664.00 | −0.125230 | ||||||||
\(562\) | 27432.0 | 2.05898 | ||||||||
\(563\) | −25038.0 | −1.87429 | −0.937146 | − | 0.348939i | \(-0.886542\pi\) | ||||
−0.937146 | + | 0.348939i | \(0.886542\pi\) | |||||||
\(564\) | 8224.00 | 0.613994 | ||||||||
\(565\) | 7810.00 | 0.581538 | ||||||||
\(566\) | 37128.0 | 2.75725 | ||||||||
\(567\) | −2526.00 | −0.187094 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 17550.0 | 1.29303 | 0.646515 | − | 0.762901i | \(-0.276226\pi\) | ||||
0.646515 | + | 0.762901i | \(0.276226\pi\) | |||||||
\(570\) | −4000.00 | −0.293933 | ||||||||
\(571\) | 10712.0 | 0.785084 | 0.392542 | − | 0.919734i | \(-0.371596\pi\) | ||||
0.392542 | + | 0.919734i | \(0.371596\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 7544.00 | 0.550009 | ||||||||
\(574\) | 528.000 | 0.0383942 | ||||||||
\(575\) | −1950.00 | −0.141427 | ||||||||
\(576\) | 11776.0 | 0.851852 | ||||||||
\(577\) | 13654.0 | 0.985136 | 0.492568 | − | 0.870274i | \(-0.336058\pi\) | ||||
0.492568 | + | 0.870274i | \(0.336058\pi\) | |||||||
\(578\) | −16948.0 | −1.21963 | ||||||||
\(579\) | 716.000 | 0.0513920 | ||||||||
\(580\) | −2000.00 | −0.143182 | ||||||||
\(581\) | 1692.00 | 0.120819 | ||||||||
\(582\) | −3088.00 | −0.219934 | ||||||||
\(583\) | −64.0000 | −0.00454650 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −19368.0 | −1.36533 | ||||||||
\(587\) | −14166.0 | −0.996071 | −0.498035 | − | 0.867157i | \(-0.665945\pi\) | ||||
−0.498035 | + | 0.867157i | \(0.665945\pi\) | |||||||
\(588\) | −4912.00 | −0.344502 | ||||||||
\(589\) | −10800.0 | −0.755528 | ||||||||
\(590\) | −10000.0 | −0.697786 | ||||||||
\(591\) | 4428.00 | 0.308196 | ||||||||
\(592\) | 17024.0 | 1.18190 | ||||||||
\(593\) | −17842.0 | −1.23555 | −0.617777 | − | 0.786354i | \(-0.711966\pi\) | ||||
−0.617777 | + | 0.786354i | \(0.711966\pi\) | |||||||
\(594\) | 12800.0 | 0.884159 | ||||||||
\(595\) | −780.000 | −0.0537427 | ||||||||
\(596\) | −16400.0 | −1.12713 | ||||||||
\(597\) | −5200.00 | −0.356485 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −17600.0 | −1.20053 | −0.600264 | − | 0.799802i | \(-0.704938\pi\) | ||||
−0.600264 | + | 0.799802i | \(0.704938\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 27302.0 | 1.85303 | 0.926516 | − | 0.376256i | \(-0.122789\pi\) | ||||
0.926516 | + | 0.376256i | \(0.122789\pi\) | |||||||
\(602\) | −10608.0 | −0.718189 | ||||||||
\(603\) | 2898.00 | 0.195714 | ||||||||
\(604\) | −14816.0 | −0.998103 | ||||||||
\(605\) | −1535.00 | −0.103151 | ||||||||
\(606\) | 5616.00 | 0.376459 | ||||||||
\(607\) | −3794.00 | −0.253696 | −0.126848 | − | 0.991922i | \(-0.540486\pi\) | ||||
−0.126848 | + | 0.991922i | \(0.540486\pi\) | |||||||
\(608\) | 25600.0 | 1.70759 | ||||||||
\(609\) | 600.000 | 0.0399232 | ||||||||
\(610\) | −10360.0 | −0.687646 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −4784.00 | −0.315983 | ||||||||
\(613\) | 13238.0 | 0.872231 | 0.436116 | − | 0.899891i | \(-0.356354\pi\) | ||||
0.436116 | + | 0.899891i | \(0.356354\pi\) | |||||||
\(614\) | 10376.0 | 0.681989 | ||||||||
\(615\) | −220.000 | −0.0144248 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 11574.0 | 0.755189 | 0.377595 | − | 0.925971i | \(-0.376751\pi\) | ||||
0.377595 | + | 0.925971i | \(0.376751\pi\) | |||||||
\(618\) | −4784.00 | −0.311393 | ||||||||
\(619\) | −8300.00 | −0.538942 | −0.269471 | − | 0.963008i | \(-0.586849\pi\) | ||||
−0.269471 | + | 0.963008i | \(0.586849\pi\) | |||||||
\(620\) | 4320.00 | 0.279831 | ||||||||
\(621\) | 7800.00 | 0.504031 | ||||||||
\(622\) | 29328.0 | 1.89059 | ||||||||
\(623\) | −900.000 | −0.0578776 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 625.000 | 0.0400000 | ||||||||
\(626\) | 6248.00 | 0.398914 | ||||||||
\(627\) | 6400.00 | 0.407642 | ||||||||
\(628\) | −19952.0 | −1.26779 | ||||||||
\(629\) | −6916.00 | −0.438409 | ||||||||
\(630\) | 2760.00 | 0.174541 | ||||||||
\(631\) | 7508.00 | 0.473675 | 0.236837 | − | 0.971549i | \(-0.423889\pi\) | ||||
0.236837 | + | 0.971549i | \(0.423889\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −2336.00 | −0.146679 | ||||||||
\(634\) | −5704.00 | −0.357310 | ||||||||
\(635\) | 9230.00 | 0.576821 | ||||||||
\(636\) | 32.0000 | 0.00199510 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 6400.00 | 0.397145 | ||||||||
\(639\) | 9476.00 | 0.586643 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −27378.0 | −1.68700 | −0.843499 | − | 0.537130i | \(-0.819508\pi\) | ||||
−0.843499 | + | 0.537130i | \(0.819508\pi\) | |||||||
\(642\) | −9552.00 | −0.587208 | ||||||||
\(643\) | −1842.00 | −0.112973 | −0.0564863 | − | 0.998403i | \(-0.517990\pi\) | ||||
−0.0564863 | + | 0.998403i | \(0.517990\pi\) | |||||||
\(644\) | 3744.00 | 0.229090 | ||||||||
\(645\) | 4420.00 | 0.269825 | ||||||||
\(646\) | −10400.0 | −0.633409 | ||||||||
\(647\) | −10114.0 | −0.614563 | −0.307282 | − | 0.951619i | \(-0.599419\pi\) | ||||
−0.307282 | + | 0.951619i | \(0.599419\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 16000.0 | 0.967727 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1296.00 | −0.0780250 | ||||||||
\(652\) | −22096.0 | −1.32722 | ||||||||
\(653\) | 10402.0 | 0.623372 | 0.311686 | − | 0.950185i | \(-0.399106\pi\) | ||||
0.311686 | + | 0.950185i | \(0.399106\pi\) | |||||||
\(654\) | 4400.00 | 0.263079 | ||||||||
\(655\) | −11040.0 | −0.658578 | ||||||||
\(656\) | 1408.00 | 0.0838006 | ||||||||
\(657\) | −20194.0 | −1.19915 | ||||||||
\(658\) | −12336.0 | −0.730862 | ||||||||
\(659\) | 7100.00 | 0.419692 | 0.209846 | − | 0.977734i | \(-0.432704\pi\) | ||||
0.209846 | + | 0.977734i | \(0.432704\pi\) | |||||||
\(660\) | −2560.00 | −0.150982 | ||||||||
\(661\) | 7118.00 | 0.418847 | 0.209424 | − | 0.977825i | \(-0.432841\pi\) | ||||
0.209424 | + | 0.977825i | \(0.432841\pi\) | |||||||
\(662\) | 16032.0 | 0.941241 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3000.00 | 0.174940 | ||||||||
\(666\) | 24472.0 | 1.42383 | ||||||||
\(667\) | 3900.00 | 0.226400 | ||||||||
\(668\) | −25008.0 | −1.44849 | ||||||||
\(669\) | 12956.0 | 0.748741 | ||||||||
\(670\) | −2520.00 | −0.145308 | ||||||||
\(671\) | 16576.0 | 0.953665 | ||||||||
\(672\) | 3072.00 | 0.176347 | ||||||||
\(673\) | −31278.0 | −1.79150 | −0.895749 | − | 0.444560i | \(-0.853360\pi\) | ||||
−0.895749 | + | 0.444560i | \(0.853360\pi\) | |||||||
\(674\) | 35464.0 | 2.02674 | ||||||||
\(675\) | −2500.00 | −0.142556 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −30054.0 | −1.70616 | −0.853079 | − | 0.521782i | \(-0.825268\pi\) | ||||
−0.853079 | + | 0.521782i | \(0.825268\pi\) | |||||||
\(678\) | 12496.0 | 0.707826 | ||||||||
\(679\) | 2316.00 | 0.130898 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1292.00 | −0.0727012 | ||||||||
\(682\) | −13824.0 | −0.776171 | ||||||||
\(683\) | 4518.00 | 0.253113 | 0.126557 | − | 0.991959i | \(-0.459607\pi\) | ||||
0.126557 | + | 0.991959i | \(0.459607\pi\) | |||||||
\(684\) | 18400.0 | 1.02857 | ||||||||
\(685\) | 11670.0 | 0.650931 | ||||||||
\(686\) | 15600.0 | 0.868237 | ||||||||
\(687\) | −7500.00 | −0.416511 | ||||||||
\(688\) | −28288.0 | −1.56754 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −3120.00 | −0.172140 | ||||||||
\(691\) | −29272.0 | −1.61152 | −0.805759 | − | 0.592243i | \(-0.798242\pi\) | ||||
−0.805759 | + | 0.592243i | \(0.798242\pi\) | |||||||
\(692\) | −624.000 | −0.0342788 | ||||||||
\(693\) | −4416.00 | −0.242063 | ||||||||
\(694\) | −6856.00 | −0.375000 | ||||||||
\(695\) | −3500.00 | −0.191025 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −572.000 | −0.0310847 | ||||||||
\(698\) | −4600.00 | −0.249445 | ||||||||
\(699\) | 2964.00 | 0.160385 | ||||||||
\(700\) | −1200.00 | −0.0647939 | ||||||||
\(701\) | −5798.00 | −0.312393 | −0.156196 | − | 0.987726i | \(-0.549923\pi\) | ||||
−0.156196 | + | 0.987726i | \(0.549923\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 26600.0 | 1.42708 | ||||||||
\(704\) | 16384.0 | 0.877124 | ||||||||
\(705\) | 5140.00 | 0.274587 | ||||||||
\(706\) | 17592.0 | 0.937796 | ||||||||
\(707\) | −4212.00 | −0.224057 | ||||||||
\(708\) | −8000.00 | −0.424659 | ||||||||
\(709\) | −8950.00 | −0.474082 | −0.237041 | − | 0.971500i | \(-0.576178\pi\) | ||||
−0.237041 | + | 0.971500i | \(0.576178\pi\) | |||||||
\(710\) | −8240.00 | −0.435552 | ||||||||
\(711\) | −13800.0 | −0.727905 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −8424.00 | −0.442470 | ||||||||
\(714\) | −1248.00 | −0.0654135 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −10400.0 | −0.542830 | ||||||||
\(717\) | −2800.00 | −0.145841 | ||||||||
\(718\) | −7200.00 | −0.374236 | ||||||||
\(719\) | 7800.00 | 0.404577 | 0.202289 | − | 0.979326i | \(-0.435162\pi\) | ||||
0.202289 | + | 0.979326i | \(0.435162\pi\) | |||||||
\(720\) | 7360.00 | 0.380960 | ||||||||
\(721\) | 3588.00 | 0.185332 | ||||||||
\(722\) | 12564.0 | 0.647623 | ||||||||
\(723\) | −6044.00 | −0.310897 | ||||||||
\(724\) | 13936.0 | 0.715369 | ||||||||
\(725\) | −1250.00 | −0.0640329 | ||||||||
\(726\) | −2456.00 | −0.125552 | ||||||||
\(727\) | −8554.00 | −0.436383 | −0.218191 | − | 0.975906i | \(-0.570016\pi\) | ||||
−0.218191 | + | 0.975906i | \(0.570016\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −4283.00 | −0.217599 | ||||||||
\(730\) | 17560.0 | 0.890308 | ||||||||
\(731\) | 11492.0 | 0.581460 | ||||||||
\(732\) | −8288.00 | −0.418488 | ||||||||
\(733\) | −2882.00 | −0.145224 | −0.0726119 | − | 0.997360i | \(-0.523133\pi\) | ||||
−0.0726119 | + | 0.997360i | \(0.523133\pi\) | |||||||
\(734\) | −23496.0 | −1.18154 | ||||||||
\(735\) | −3070.00 | −0.154066 | ||||||||
\(736\) | 19968.0 | 1.00004 | ||||||||
\(737\) | 4032.00 | 0.201521 | ||||||||
\(738\) | 2024.00 | 0.100955 | ||||||||
\(739\) | −18700.0 | −0.930840 | −0.465420 | − | 0.885090i | \(-0.654097\pi\) | ||||
−0.465420 | + | 0.885090i | \(0.654097\pi\) | |||||||
\(740\) | −10640.0 | −0.528560 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −48.0000 | −0.00237485 | ||||||||
\(743\) | −12242.0 | −0.604462 | −0.302231 | − | 0.953235i | \(-0.597731\pi\) | ||||
−0.302231 | + | 0.953235i | \(0.597731\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −10250.0 | −0.504068 | ||||||||
\(746\) | −8312.00 | −0.407941 | ||||||||
\(747\) | 6486.00 | 0.317685 | ||||||||
\(748\) | −6656.00 | −0.325358 | ||||||||
\(749\) | 7164.00 | 0.349488 | ||||||||
\(750\) | 1000.00 | 0.0486864 | ||||||||
\(751\) | −31148.0 | −1.51346 | −0.756729 | − | 0.653729i | \(-0.773204\pi\) | ||||
−0.756729 | + | 0.653729i | \(0.773204\pi\) | |||||||
\(752\) | −32896.0 | −1.59520 | ||||||||
\(753\) | −2496.00 | −0.120796 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −9260.00 | −0.446365 | ||||||||
\(756\) | 4800.00 | 0.230918 | ||||||||
\(757\) | −7694.00 | −0.369410 | −0.184705 | − | 0.982794i | \(-0.559133\pi\) | ||||
−0.184705 | + | 0.982794i | \(0.559133\pi\) | |||||||
\(758\) | −31600.0 | −1.51420 | ||||||||
\(759\) | 4992.00 | 0.238733 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 4518.00 | 0.215213 | 0.107607 | − | 0.994194i | \(-0.465681\pi\) | ||||
0.107607 | + | 0.994194i | \(0.465681\pi\) | |||||||
\(762\) | 14768.0 | 0.702084 | ||||||||
\(763\) | −3300.00 | −0.156577 | ||||||||
\(764\) | 30176.0 | 1.42897 | ||||||||
\(765\) | −2990.00 | −0.141312 | ||||||||
\(766\) | 30072.0 | 1.41847 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 8192.00 | 0.384900 | ||||||||
\(769\) | 39550.0 | 1.85463 | 0.927314 | − | 0.374283i | \(-0.122111\pi\) | ||||
0.927314 | + | 0.374283i | \(0.122111\pi\) | |||||||
\(770\) | 3840.00 | 0.179719 | ||||||||
\(771\) | 4212.00 | 0.196746 | ||||||||
\(772\) | 2864.00 | 0.133520 | ||||||||
\(773\) | −22122.0 | −1.02933 | −0.514666 | − | 0.857391i | \(-0.672084\pi\) | ||||
−0.514666 | + | 0.857391i | \(0.672084\pi\) | |||||||
\(774\) | −40664.0 | −1.88842 | ||||||||
\(775\) | 2700.00 | 0.125144 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 3192.00 | 0.147378 | ||||||||
\(778\) | −7800.00 | −0.359439 | ||||||||
\(779\) | 2200.00 | 0.101185 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 13184.0 | 0.604047 | ||||||||
\(782\) | −8112.00 | −0.370952 | ||||||||
\(783\) | 5000.00 | 0.228206 | ||||||||
\(784\) | 19648.0 | 0.895044 | ||||||||
\(785\) | −12470.0 | −0.566972 | ||||||||
\(786\) | −17664.0 | −0.801595 | ||||||||
\(787\) | 16634.0 | 0.753416 | 0.376708 | − | 0.926332i | \(-0.377056\pi\) | ||||
0.376708 | + | 0.926332i | \(0.377056\pi\) | |||||||
\(788\) | 17712.0 | 0.800716 | ||||||||
\(789\) | −7276.00 | −0.328305 | ||||||||
\(790\) | 12000.0 | 0.540431 | ||||||||
\(791\) | −9372.00 | −0.421277 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −55144.0 | −2.46472 | ||||||||
\(795\) | 20.0000 | 0.000892235 0 | ||||||||
\(796\) | −20800.0 | −0.926176 | ||||||||
\(797\) | 27586.0 | 1.22603 | 0.613015 | − | 0.790071i | \(-0.289956\pi\) | ||||
0.613015 | + | 0.790071i | \(0.289956\pi\) | |||||||
\(798\) | 4800.00 | 0.212930 | ||||||||
\(799\) | 13364.0 | 0.591720 | ||||||||
\(800\) | −6400.00 | −0.282843 | ||||||||
\(801\) | −3450.00 | −0.152184 | ||||||||
\(802\) | −25608.0 | −1.12749 | ||||||||
\(803\) | −28096.0 | −1.23473 | ||||||||
\(804\) | −2016.00 | −0.0884314 | ||||||||
\(805\) | 2340.00 | 0.102452 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −13100.0 | −0.571427 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 3850.00 | 0.167316 | 0.0836581 | − | 0.996495i | \(-0.473340\pi\) | ||||
0.0836581 | + | 0.996495i | \(0.473340\pi\) | |||||||
\(810\) | 8420.00 | 0.365245 | ||||||||
\(811\) | −10032.0 | −0.434366 | −0.217183 | − | 0.976131i | \(-0.569687\pi\) | ||||
−0.217183 | + | 0.976131i | \(0.569687\pi\) | |||||||
\(812\) | 2400.00 | 0.103724 | ||||||||
\(813\) | 8776.00 | 0.378583 | ||||||||
\(814\) | 34048.0 | 1.46607 | ||||||||
\(815\) | −13810.0 | −0.593550 | ||||||||
\(816\) | −3328.00 | −0.142774 | ||||||||
\(817\) | −44200.0 | −1.89273 | ||||||||
\(818\) | −44600.0 | −1.90636 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −880.000 | −0.0374767 | ||||||||
\(821\) | −20562.0 | −0.874079 | −0.437039 | − | 0.899442i | \(-0.643973\pi\) | ||||
−0.437039 | + | 0.899442i | \(0.643973\pi\) | |||||||
\(822\) | 18672.0 | 0.792288 | ||||||||
\(823\) | 10322.0 | 0.437184 | 0.218592 | − | 0.975816i | \(-0.429854\pi\) | ||||
0.218592 | + | 0.975816i | \(0.429854\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −1600.00 | −0.0675210 | ||||||||
\(826\) | 12000.0 | 0.505488 | ||||||||
\(827\) | −8846.00 | −0.371954 | −0.185977 | − | 0.982554i | \(-0.559545\pi\) | ||||
−0.185977 | + | 0.982554i | \(0.559545\pi\) | |||||||
\(828\) | 14352.0 | 0.602375 | ||||||||
\(829\) | −25350.0 | −1.06205 | −0.531026 | − | 0.847355i | \(-0.678194\pi\) | ||||
−0.531026 | + | 0.847355i | \(0.678194\pi\) | |||||||
\(830\) | −5640.00 | −0.235864 | ||||||||
\(831\) | 1092.00 | 0.0455849 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −7982.00 | −0.332005 | ||||||||
\(834\) | −5600.00 | −0.232509 | ||||||||
\(835\) | −15630.0 | −0.647783 | ||||||||
\(836\) | 25600.0 | 1.05908 | ||||||||
\(837\) | −10800.0 | −0.446001 | ||||||||
\(838\) | −54800.0 | −2.25899 | ||||||||
\(839\) | −46000.0 | −1.89284 | −0.946422 | − | 0.322932i | \(-0.895331\pi\) | ||||
−0.946422 | + | 0.322932i | \(0.895331\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −21889.0 | −0.897495 | ||||||||
\(842\) | 21752.0 | 0.890289 | ||||||||
\(843\) | 13716.0 | 0.560385 | ||||||||
\(844\) | −9344.00 | −0.381083 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −47288.0 | −1.92174 | ||||||||
\(847\) | 1842.00 | 0.0747248 | ||||||||
\(848\) | −128.000 | −0.00518342 | ||||||||
\(849\) | 18564.0 | 0.750430 | ||||||||
\(850\) | 2600.00 | 0.104917 | ||||||||
\(851\) | 20748.0 | 0.835761 | ||||||||
\(852\) | −6592.00 | −0.265068 | ||||||||
\(853\) | 16998.0 | 0.682298 | 0.341149 | − | 0.940009i | \(-0.389184\pi\) | ||||
0.341149 | + | 0.940009i | \(0.389184\pi\) | |||||||
\(854\) | 12432.0 | 0.498143 | ||||||||
\(855\) | 11500.0 | 0.459990 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −26494.0 | −1.05603 | −0.528015 | − | 0.849235i | \(-0.677064\pi\) | ||||
−0.528015 | + | 0.849235i | \(0.677064\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −21500.0 | −0.853982 | −0.426991 | − | 0.904256i | \(-0.640426\pi\) | ||||
−0.426991 | + | 0.904256i | \(0.640426\pi\) | |||||||
\(860\) | 17680.0 | 0.701027 | ||||||||
\(861\) | 264.000 | 0.0104496 | ||||||||
\(862\) | −30768.0 | −1.21573 | ||||||||
\(863\) | −25762.0 | −1.01616 | −0.508082 | − | 0.861309i | \(-0.669645\pi\) | ||||
−0.508082 | + | 0.861309i | \(0.669645\pi\) | |||||||
\(864\) | 25600.0 | 1.00802 | ||||||||
\(865\) | −390.000 | −0.0153299 | ||||||||
\(866\) | −4472.00 | −0.175479 | ||||||||
\(867\) | −8474.00 | −0.331940 | ||||||||
\(868\) | −5184.00 | −0.202715 | ||||||||
\(869\) | −19200.0 | −0.749500 | ||||||||
\(870\) | −2000.00 | −0.0779383 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 8878.00 | 0.344186 | ||||||||
\(874\) | 31200.0 | 1.20750 | ||||||||
\(875\) | −750.000 | −0.0289767 | ||||||||
\(876\) | 14048.0 | 0.541824 | ||||||||
\(877\) | −30546.0 | −1.17613 | −0.588064 | − | 0.808814i | \(-0.700110\pi\) | ||||
−0.588064 | + | 0.808814i | \(0.700110\pi\) | |||||||
\(878\) | −10400.0 | −0.399753 | ||||||||
\(879\) | −9684.00 | −0.371596 | ||||||||
\(880\) | 10240.0 | 0.392262 | ||||||||
\(881\) | 32942.0 | 1.25976 | 0.629878 | − | 0.776694i | \(-0.283105\pi\) | ||||
0.629878 | + | 0.776694i | \(0.283105\pi\) | |||||||
\(882\) | 28244.0 | 1.07826 | ||||||||
\(883\) | −27118.0 | −1.03351 | −0.516757 | − | 0.856132i | \(-0.672861\pi\) | ||||
−0.516757 | + | 0.856132i | \(0.672861\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −5000.00 | −0.189913 | ||||||||
\(886\) | −47832.0 | −1.81371 | ||||||||
\(887\) | −38634.0 | −1.46246 | −0.731230 | − | 0.682131i | \(-0.761054\pi\) | ||||
−0.731230 | + | 0.682131i | \(0.761054\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −11076.0 | −0.417860 | ||||||||
\(890\) | 3000.00 | 0.112989 | ||||||||
\(891\) | −13472.0 | −0.506542 | ||||||||
\(892\) | 51824.0 | 1.94529 | ||||||||
\(893\) | −51400.0 | −1.92613 | ||||||||
\(894\) | −16400.0 | −0.613532 | ||||||||
\(895\) | −6500.00 | −0.242761 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 68200.0 | 2.53437 | ||||||||
\(899\) | −5400.00 | −0.200334 | ||||||||
\(900\) | −4600.00 | −0.170370 | ||||||||
\(901\) | 52.0000 | 0.00192272 | ||||||||
\(902\) | 2816.00 | 0.103950 | ||||||||
\(903\) | −5304.00 | −0.195466 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 8710.00 | 0.319923 | ||||||||
\(906\) | −14816.0 | −0.543299 | ||||||||
\(907\) | −1794.00 | −0.0656767 | −0.0328384 | − | 0.999461i | \(-0.510455\pi\) | ||||
−0.0328384 | + | 0.999461i | \(0.510455\pi\) | |||||||
\(908\) | −5168.00 | −0.188883 | ||||||||
\(909\) | −16146.0 | −0.589141 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 41732.0 | 1.51772 | 0.758860 | − | 0.651254i | \(-0.225757\pi\) | ||||
0.758860 | + | 0.651254i | \(0.225757\pi\) | |||||||
\(912\) | 12800.0 | 0.464748 | ||||||||
\(913\) | 9024.00 | 0.327109 | ||||||||
\(914\) | 37976.0 | 1.37433 | ||||||||
\(915\) | −5180.00 | −0.187154 | ||||||||
\(916\) | −30000.0 | −1.08213 | ||||||||
\(917\) | 13248.0 | 0.477086 | ||||||||
\(918\) | −10400.0 | −0.373912 | ||||||||
\(919\) | 29200.0 | 1.04812 | 0.524058 | − | 0.851682i | \(-0.324417\pi\) | ||||
0.524058 | + | 0.851682i | \(0.324417\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 5188.00 | 0.185614 | ||||||||
\(922\) | 45672.0 | 1.63137 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 3072.00 | 0.109374 | ||||||||
\(925\) | −6650.00 | −0.236379 | ||||||||
\(926\) | −31848.0 | −1.13023 | ||||||||
\(927\) | 13754.0 | 0.487315 | ||||||||
\(928\) | 12800.0 | 0.452781 | ||||||||
\(929\) | 48650.0 | 1.71814 | 0.859071 | − | 0.511856i | \(-0.171042\pi\) | ||||
0.859071 | + | 0.511856i | \(0.171042\pi\) | |||||||
\(930\) | 4320.00 | 0.152321 | ||||||||
\(931\) | 30700.0 | 1.08072 | ||||||||
\(932\) | 11856.0 | 0.416691 | ||||||||
\(933\) | 14664.0 | 0.514553 | ||||||||
\(934\) | 26104.0 | 0.914506 | ||||||||
\(935\) | −4160.00 | −0.145504 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −11334.0 | −0.395161 | −0.197580 | − | 0.980287i | \(-0.563308\pi\) | ||||
−0.197580 | + | 0.980287i | \(0.563308\pi\) | |||||||
\(938\) | 3024.00 | 0.105263 | ||||||||
\(939\) | 3124.00 | 0.108571 | ||||||||
\(940\) | 20560.0 | 0.713397 | ||||||||
\(941\) | 31178.0 | 1.08010 | 0.540050 | − | 0.841633i | \(-0.318405\pi\) | ||||
0.540050 | + | 0.841633i | \(0.318405\pi\) | |||||||
\(942\) | −19952.0 | −0.690097 | ||||||||
\(943\) | 1716.00 | 0.0592584 | ||||||||
\(944\) | 32000.0 | 1.10330 | ||||||||
\(945\) | 3000.00 | 0.103270 | ||||||||
\(946\) | −56576.0 | −1.94444 | ||||||||
\(947\) | −4686.00 | −0.160797 | −0.0803984 | − | 0.996763i | \(-0.525619\pi\) | ||||
−0.0803984 | + | 0.996763i | \(0.525619\pi\) | |||||||
\(948\) | 9600.00 | 0.328896 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −10000.0 | −0.341519 | ||||||||
\(951\) | −2852.00 | −0.0972476 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −598.000 | −0.0203265 | −0.0101632 | − | 0.999948i | \(-0.503235\pi\) | ||||
−0.0101632 | + | 0.999948i | \(0.503235\pi\) | |||||||
\(954\) | −184.000 | −0.00624447 | ||||||||
\(955\) | 18860.0 | 0.639053 | ||||||||
\(956\) | −11200.0 | −0.378906 | ||||||||
\(957\) | 3200.00 | 0.108089 | ||||||||
\(958\) | −69600.0 | −2.34726 | ||||||||
\(959\) | −14004.0 | −0.471546 | ||||||||
\(960\) | −5120.00 | −0.172133 | ||||||||
\(961\) | −18127.0 | −0.608472 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 27462.0 | 0.918952 | ||||||||
\(964\) | −24176.0 | −0.807735 | ||||||||
\(965\) | 1790.00 | 0.0597121 | ||||||||
\(966\) | 3744.00 | 0.124701 | ||||||||
\(967\) | −41726.0 | −1.38761 | −0.693804 | − | 0.720163i | \(-0.744067\pi\) | ||||
−0.693804 | + | 0.720163i | \(0.744067\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −5200.00 | −0.172392 | ||||||||
\(970\) | −7720.00 | −0.255540 | ||||||||
\(971\) | 24312.0 | 0.803511 | 0.401756 | − | 0.915747i | \(-0.368400\pi\) | ||||
0.401756 | + | 0.915747i | \(0.368400\pi\) | |||||||
\(972\) | 28336.0 | 0.935059 | ||||||||
\(973\) | 4200.00 | 0.138382 | ||||||||
\(974\) | −4664.00 | −0.153433 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 33152.0 | 1.08726 | ||||||||
\(977\) | −40946.0 | −1.34082 | −0.670409 | − | 0.741992i | \(-0.733881\pi\) | ||||
−0.670409 | + | 0.741992i | \(0.733881\pi\) | |||||||
\(978\) | −22096.0 | −0.722446 | ||||||||
\(979\) | −4800.00 | −0.156699 | ||||||||
\(980\) | −12280.0 | −0.400276 | ||||||||
\(981\) | −12650.0 | −0.411706 | ||||||||
\(982\) | 28288.0 | 0.919253 | ||||||||
\(983\) | −42282.0 | −1.37191 | −0.685954 | − | 0.727645i | \(-0.740615\pi\) | ||||
−0.685954 | + | 0.727645i | \(0.740615\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 11070.0 | 0.358091 | ||||||||
\(986\) | −5200.00 | −0.167953 | ||||||||
\(987\) | −6168.00 | −0.198916 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −34476.0 | −1.10847 | ||||||||
\(990\) | 14720.0 | 0.472558 | ||||||||
\(991\) | 1172.00 | 0.0375679 | 0.0187840 | − | 0.999824i | \(-0.494021\pi\) | ||||
0.0187840 | + | 0.999824i | \(0.494021\pi\) | |||||||
\(992\) | −27648.0 | −0.884904 | ||||||||
\(993\) | 8016.00 | 0.256173 | ||||||||
\(994\) | 9888.00 | 0.315521 | ||||||||
\(995\) | −13000.0 | −0.414199 | ||||||||
\(996\) | −4512.00 | −0.143542 | ||||||||
\(997\) | −31614.0 | −1.00424 | −0.502119 | − | 0.864798i | \(-0.667446\pi\) | ||||
−0.502119 | + | 0.864798i | \(0.667446\pi\) | |||||||
\(998\) | −400.000 | −0.0126872 | ||||||||
\(999\) | 26600.0 | 0.842429 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))