Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [245,4,Mod(1,245)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(245, 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("245.1");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 245 = 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 245.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: | \(14.4554679514\) |
Analytic rank: | \(0\) |
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 | \(\chi\) | \(=\) | 245.1 |
$q$-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 | \(-0.750000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(3\) | −2.00000 | −0.384900 | −0.192450 | − | 0.981307i | \(-0.561643\pi\) | ||||
−0.192450 | + | 0.981307i | \(0.561643\pi\) | |||||||
\(4\) | 8.00000 | 1.00000 | ||||||||
\(5\) | 5.00000 | 0.447214 | ||||||||
\(6\) | 8.00000 | 0.544331 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −23.0000 | −0.851852 | ||||||||
\(10\) | −20.0000 | −0.632456 | ||||||||
\(11\) | 32.0000 | 0.877124 | 0.438562 | − | 0.898701i | \(-0.355488\pi\) | ||||
0.438562 | + | 0.898701i | \(0.355488\pi\) | |||||||
\(12\) | −16.0000 | −0.384900 | ||||||||
\(13\) | 38.0000 | 0.810716 | 0.405358 | − | 0.914158i | \(-0.367147\pi\) | ||||
0.405358 | + | 0.914158i | \(0.367147\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −10.0000 | −0.172133 | ||||||||
\(16\) | −64.0000 | −1.00000 | ||||||||
\(17\) | −26.0000 | −0.370937 | −0.185468 | − | 0.982650i | \(-0.559380\pi\) | ||||
−0.185468 | + | 0.982650i | \(0.559380\pi\) | |||||||
\(18\) | 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 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −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 | ||||||||
\(26\) | −152.000 | −1.14653 | ||||||||
\(27\) | 100.000 | 0.712778 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −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 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −184.000 | −0.851852 | ||||||||
\(37\) | 266.000 | 1.18190 | 0.590948 | − | 0.806710i | \(-0.298754\pi\) | ||||
0.590948 | + | 0.806710i | \(0.298754\pi\) | |||||||
\(38\) | 400.000 | 1.70759 | ||||||||
\(39\) | −76.0000 | −0.312045 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −22.0000 | −0.0838006 | −0.0419003 | − | 0.999122i | \(-0.513341\pi\) | ||||
−0.0419003 | + | 0.999122i | \(0.513341\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 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 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −100.000 | −0.282843 | ||||||||
\(51\) | 52.0000 | 0.142774 | ||||||||
\(52\) | 304.000 | 0.810716 | ||||||||
\(53\) | 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 | \(-0.317049\pi\) | ||||
0.543632 | + | 0.839324i | \(0.317049\pi\) | |||||||
\(62\) | −432.000 | −0.884904 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −512.000 | −1.00000 | ||||||||
\(65\) | 190.000 | 0.362563 | ||||||||
\(66\) | 256.000 | 0.477446 | ||||||||
\(67\) | 126.000 | 0.229751 | 0.114876 | − | 0.993380i | \(-0.463353\pi\) | ||||
0.114876 | + | 0.993380i | \(0.463353\pi\) | |||||||
\(68\) | −208.000 | −0.370937 | ||||||||
\(69\) | 156.000 | 0.272177 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 412.000 | 0.688668 | 0.344334 | − | 0.938847i | \(-0.388105\pi\) | ||||
0.344334 | + | 0.938847i | \(0.388105\pi\) | |||||||
\(72\) | 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 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 304.000 | 0.441298 | ||||||||
\(79\) | 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 | \(0.559704\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −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 | \(0.564751\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −736.000 | −0.747180 | ||||||||
\(100\) | 200.000 | 0.200000 | ||||||||
\(101\) | −702.000 | −0.691600 | −0.345800 | − | 0.938308i | \(-0.612392\pi\) | ||||
−0.345800 | + | 0.938308i | \(0.612392\pi\) | |||||||
\(102\) | −208.000 | −0.201912 | ||||||||
\(103\) | 598.000 | 0.572065 | 0.286032 | − | 0.958220i | \(-0.407663\pi\) | ||||
0.286032 | + | 0.958220i | \(0.407663\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −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 | \(-0.577690\pi\) | ||||
−0.241653 | + | 0.970363i | \(0.577690\pi\) | |||||||
\(110\) | −640.000 | −0.554742 | ||||||||
\(111\) | −532.000 | −0.454912 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 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 | ||||||||
\(117\) | −874.000 | −0.690610 | ||||||||
\(118\) | 2000.00 | 1.56030 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 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 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 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 | ||||||||
\(130\) | −760.000 | −0.512742 | ||||||||
\(131\) | 2208.00 | 1.47262 | 0.736312 | − | 0.676642i | \(-0.236565\pi\) | ||||
0.736312 | + | 0.676642i | \(0.236565\pi\) | |||||||
\(132\) | −512.000 | −0.337605 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −504.000 | −0.324918 | ||||||||
\(135\) | 500.000 | 0.318764 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2334.00 | −1.45553 | −0.727763 | − | 0.685829i | \(-0.759440\pi\) | ||||
−0.727763 | + | 0.685829i | \(0.759440\pi\) | |||||||
\(138\) | −624.000 | −0.384916 | ||||||||
\(139\) | 700.000 | 0.427146 | 0.213573 | − | 0.976927i | \(-0.431490\pi\) | ||||
0.213573 | + | 0.976927i | \(0.431490\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1028.00 | −0.613994 | ||||||||
\(142\) | −1648.00 | −0.973923 | ||||||||
\(143\) | 1216.00 | 0.711098 | ||||||||
\(144\) | 1472.00 | 0.851852 | ||||||||
\(145\) | −250.000 | −0.143182 | ||||||||
\(146\) | −3512.00 | −1.99079 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2128.00 | 1.18190 | ||||||||
\(149\) | 2050.00 | 1.12713 | 0.563566 | − | 0.826071i | \(-0.309429\pi\) | ||||
0.563566 | + | 0.826071i | \(0.309429\pi\) | |||||||
\(150\) | 200.000 | 0.108866 | ||||||||
\(151\) | 1852.00 | 0.998103 | 0.499052 | − | 0.866572i | \(-0.333682\pi\) | ||||
0.499052 | + | 0.866572i | \(0.333682\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 598.000 | 0.315983 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 540.000 | 0.279831 | ||||||||
\(156\) | −608.000 | −0.312045 | ||||||||
\(157\) | 2494.00 | 1.26779 | 0.633894 | − | 0.773420i | \(-0.281455\pi\) | ||||
0.633894 | + | 0.773420i | \(0.281455\pi\) | |||||||
\(158\) | −2400.00 | −1.20844 | ||||||||
\(159\) | −4.00000 | −0.00199510 | ||||||||
\(160\) | 1280.00 | 0.632456 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −1684.00 | −0.816713 | ||||||||
\(163\) | 2762.00 | 1.32722 | 0.663609 | − | 0.748080i | \(-0.269024\pi\) | ||||
0.663609 | + | 0.748080i | \(0.269024\pi\) | |||||||
\(164\) | −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 | ||||||||
\(169\) | −753.000 | −0.342740 | ||||||||
\(170\) | 520.000 | 0.234601 | ||||||||
\(171\) | 2300.00 | 1.02857 | ||||||||
\(172\) | 3536.00 | 1.56754 | ||||||||
\(173\) | 78.0000 | 0.0342788 | 0.0171394 | − | 0.999853i | \(-0.494544\pi\) | ||||
0.0171394 | + | 0.999853i | \(0.494544\pi\) | |||||||
\(174\) | −400.000 | −0.174275 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −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 | \(-0.616434\pi\) | ||||
−0.357685 | + | 0.933842i | \(0.616434\pi\) | |||||||
\(182\) | 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 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 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 | \(-0.521266\pi\) | ||||
−0.0667601 | + | 0.997769i | \(0.521266\pi\) | |||||||
\(194\) | 1544.00 | 0.571406 | ||||||||
\(195\) | −380.000 | −0.139551 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2214.00 | −0.800716 | −0.400358 | − | 0.916359i | \(-0.631114\pi\) | ||||
−0.400358 | + | 0.916359i | \(0.631114\pi\) | |||||||
\(198\) | 2944.00 | 1.05667 | ||||||||
\(199\) | 2600.00 | 0.926176 | 0.463088 | − | 0.886312i | \(-0.346741\pi\) | ||||
0.463088 | + | 0.886312i | \(0.346741\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −252.000 | −0.0884314 | ||||||||
\(202\) | 2808.00 | 0.978070 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 416.000 | 0.142774 | ||||||||
\(205\) | −110.000 | −0.0374767 | ||||||||
\(206\) | −2392.00 | −0.809022 | ||||||||
\(207\) | 1794.00 | 0.602375 | ||||||||
\(208\) | −2432.00 | −0.810716 | ||||||||
\(209\) | −3200.00 | −1.05908 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −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 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 2200.00 | 0.683499 | ||||||||
\(219\) | −1756.00 | −0.541824 | ||||||||
\(220\) | 1280.00 | 0.392262 | ||||||||
\(221\) | −988.000 | −0.300724 | ||||||||
\(222\) | 2128.00 | 0.643342 | ||||||||
\(223\) | 6478.00 | 1.94529 | 0.972643 | − | 0.232303i | \(-0.0746262\pi\) | ||||
0.972643 | + | 0.232303i | \(0.0746262\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −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 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1482.00 | 0.416691 | 0.208346 | − | 0.978055i | \(-0.433192\pi\) | ||||
0.208346 | + | 0.978055i | \(0.433192\pi\) | |||||||
\(234\) | 3496.00 | 0.976670 | ||||||||
\(235\) | 2570.00 | 0.713397 | ||||||||
\(236\) | −4000.00 | −1.10330 | ||||||||
\(237\) | −1200.00 | −0.328896 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1400.00 | 0.378906 | 0.189453 | − | 0.981890i | \(-0.439329\pi\) | ||||
0.189453 | + | 0.981890i | \(0.439329\pi\) | |||||||
\(240\) | 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 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −176.000 | −0.0456152 | ||||||||
\(247\) | −3800.00 | −0.978900 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 564.000 | 0.143542 | ||||||||
\(250\) | −500.000 | −0.126491 | ||||||||
\(251\) | 1248.00 | 0.313837 | 0.156918 | − | 0.987612i | \(-0.449844\pi\) | ||||
0.156918 | + | 0.987612i | \(0.449844\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −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 | \(-0.582267\pi\) | ||||
−0.255581 | + | 0.966788i | \(0.582267\pi\) | |||||||
\(258\) | 3536.00 | 0.853263 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 1520.00 | 0.362563 | ||||||||
\(261\) | 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 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −300.000 | −0.0687629 | ||||||||
\(268\) | 1008.00 | 0.229751 | ||||||||
\(269\) | 6550.00 | 1.48461 | 0.742306 | − | 0.670061i | \(-0.233732\pi\) | ||||
0.742306 | + | 0.670061i | \(0.233732\pi\) | |||||||
\(270\) | −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 | \(-0.759532\pi\) | ||||
−0.727961 | + | 0.685619i | \(0.759532\pi\) | |||||||
\(282\) | 4112.00 | 0.868319 | ||||||||
\(283\) | −9282.00 | −1.94967 | −0.974837 | − | 0.222920i | \(-0.928441\pi\) | ||||
−0.974837 | + | 0.222920i | \(0.928441\pi\) | |||||||
\(284\) | 3296.00 | 0.688668 | ||||||||
\(285\) | 1000.00 | 0.207842 | ||||||||
\(286\) | −4864.00 | −1.00564 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −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 | \(0.660350\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2500.00 | −0.493409 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3200.00 | 0.625195 | ||||||||
\(298\) | −8200.00 | −1.59400 | ||||||||
\(299\) | −2964.00 | −0.573286 | ||||||||
\(300\) | −400.000 | −0.0769800 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −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 | \(0.422485\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1196.00 | −0.220188 | ||||||||
\(310\) | −2160.00 | −0.395741 | ||||||||
\(311\) | −7332.00 | −1.33685 | −0.668424 | − | 0.743781i | \(-0.733031\pi\) | ||||
−0.668424 | + | 0.743781i | \(0.733031\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1562.00 | −0.282075 | −0.141037 | − | 0.990004i | \(-0.545044\pi\) | ||||
−0.141037 | + | 0.990004i | \(0.545044\pi\) | |||||||
\(314\) | −9976.00 | −1.79292 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4800.00 | 0.854497 | ||||||||
\(317\) | 1426.00 | 0.252657 | 0.126328 | − | 0.991988i | \(-0.459681\pi\) | ||||
0.126328 | + | 0.991988i | \(0.459681\pi\) | |||||||
\(318\) | 16.0000 | 0.00282150 | ||||||||
\(319\) | −1600.00 | −0.280824 | ||||||||
\(320\) | −2560.00 | −0.447214 | ||||||||
\(321\) | 2388.00 | 0.415219 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2600.00 | 0.447888 | ||||||||
\(324\) | 3368.00 | 0.577503 | ||||||||
\(325\) | 950.000 | 0.162143 | ||||||||
\(326\) | −11048.0 | −1.87697 | ||||||||
\(327\) | 1100.00 | 0.186025 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 1280.00 | 0.213520 | ||||||||
\(331\) | −4008.00 | −0.665558 | −0.332779 | − | 0.943005i | \(-0.607986\pi\) | ||||
−0.332779 | + | 0.943005i | \(0.607986\pi\) | |||||||
\(332\) | −2256.00 | −0.372934 | ||||||||
\(333\) | −6118.00 | −1.00680 | ||||||||
\(334\) | 12504.0 | 2.04847 | ||||||||
\(335\) | 630.000 | 0.102748 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8866.00 | 1.43312 | 0.716561 | − | 0.697525i | \(-0.245715\pi\) | ||||
0.716561 | + | 0.697525i | \(0.245715\pi\) | |||||||
\(338\) | 3012.00 | 0.484708 | ||||||||
\(339\) | −3124.00 | −0.500509 | ||||||||
\(340\) | −1040.00 | −0.165888 | ||||||||
\(341\) | 3456.00 | 0.548835 | ||||||||
\(342\) | −9200.00 | −1.45462 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 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 | \(0.528109\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3800.00 | 0.577860 | ||||||||
\(352\) | 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 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5200.00 | 0.767677 | ||||||||
\(359\) | 1800.00 | 0.264625 | 0.132312 | − | 0.991208i | \(-0.457760\pi\) | ||||
0.132312 | + | 0.991208i | \(0.457760\pi\) | |||||||
\(360\) | 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 | \(-0.362823\pi\) | ||||
0.417739 | + | 0.908567i | \(0.362823\pi\) | |||||||
\(368\) | 4992.00 | 0.707136 | ||||||||
\(369\) | 506.000 | 0.0713857 | ||||||||
\(370\) | −5320.00 | −0.747496 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −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 | ||||||||
\(377\) | −1900.00 | −0.259562 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7900.00 | 1.07070 | 0.535351 | − | 0.844630i | \(-0.320179\pi\) | ||||
0.535351 | + | 0.844630i | \(0.320179\pi\) | |||||||
\(380\) | −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 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 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 | \(0.540561\pi\) | |||||||
\(390\) | 1520.00 | 0.197354 | ||||||||
\(391\) | 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 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1600.00 | −0.200000 | ||||||||
\(401\) | 6402.00 | 0.797258 | 0.398629 | − | 0.917112i | \(-0.369486\pi\) | ||||
0.398629 | + | 0.917112i | \(0.369486\pi\) | |||||||
\(402\) | 1008.00 | 0.125061 | ||||||||
\(403\) | 4104.00 | 0.507282 | ||||||||
\(404\) | −5616.00 | −0.691600 | ||||||||
\(405\) | 2105.00 | 0.258267 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 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 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −7176.00 | −0.851887 | ||||||||
\(415\) | −1410.00 | −0.166781 | ||||||||
\(416\) | 9728.00 | 1.14653 | ||||||||
\(417\) | −1400.00 | −0.164408 | ||||||||
\(418\) | 12800.0 | 1.49777 | ||||||||
\(419\) | 13700.0 | 1.59735 | 0.798674 | − | 0.601764i | \(-0.205535\pi\) | ||||
0.798674 | + | 0.601764i | \(0.205535\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5438.00 | −0.629529 | −0.314765 | − | 0.949170i | \(-0.601926\pi\) | ||||
−0.314765 | + | 0.949170i | \(0.601926\pi\) | |||||||
\(422\) | 4672.00 | 0.538932 | ||||||||
\(423\) | −11822.0 | −1.35888 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −650.000 | −0.0741874 | ||||||||
\(426\) | 3296.00 | 0.374863 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −9552.00 | −1.07877 | ||||||||
\(429\) | −2432.00 | −0.273702 | ||||||||
\(430\) | −8840.00 | −0.991402 | ||||||||
\(431\) | 7692.00 | 0.859653 | 0.429827 | − | 0.902911i | \(-0.358575\pi\) | ||||
0.429827 | + | 0.902911i | \(0.358575\pi\) | |||||||
\(432\) | −6400.00 | −0.712778 | ||||||||
\(433\) | 1118.00 | 0.124082 | 0.0620412 | − | 0.998074i | \(-0.480239\pi\) | ||||
0.0620412 | + | 0.998074i | \(0.480239\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 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 | \(-0.454861\pi\) | ||||
0.141334 | + | 0.989962i | \(0.454861\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3952.00 | 0.425288 | ||||||||
\(443\) | −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 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −17050.0 | −1.79207 | −0.896035 | − | 0.443984i | \(-0.853565\pi\) | ||||
−0.896035 | + | 0.443984i | \(0.853565\pi\) | |||||||
\(450\) | 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 | \(-0.661507\pi\) | ||||
−0.485898 | + | 0.874016i | \(0.661507\pi\) | |||||||
\(458\) | 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 | \(0.304310\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7962.00 | 0.799191 | 0.399596 | − | 0.916692i | \(-0.369151\pi\) | ||||
0.399596 | + | 0.916692i | \(0.369151\pi\) | |||||||
\(464\) | 3200.00 | 0.320164 | ||||||||
\(465\) | −1080.00 | −0.107707 | ||||||||
\(466\) | −5928.00 | −0.589290 | ||||||||
\(467\) | −6526.00 | −0.646654 | −0.323327 | − | 0.946287i | \(-0.604801\pi\) | ||||
−0.323327 | + | 0.946287i | \(0.604801\pi\) | |||||||
\(468\) | −6992.00 | −0.690610 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −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 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −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 | ||||||||
\(481\) | 10108.0 | 0.958181 | ||||||||
\(482\) | 12088.0 | 1.14231 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2456.00 | −0.230654 | ||||||||
\(485\) | −1930.00 | −0.180694 | ||||||||
\(486\) | 14168.0 | 1.32237 | ||||||||
\(487\) | 1166.00 | 0.108494 | 0.0542469 | − | 0.998528i | \(-0.482724\pi\) | ||||
0.0542469 | + | 0.998528i | \(0.482724\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −5524.00 | −0.510846 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 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 | ||||||||
\(494\) | 15200.0 | 1.38437 | ||||||||
\(495\) | −3680.00 | −0.334149 | ||||||||
\(496\) | −6912.00 | −0.625722 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −2256.00 | −0.203000 | ||||||||
\(499\) | 100.000 | 0.00897117 | 0.00448559 | − | 0.999990i | \(-0.498572\pi\) | ||||
0.00448559 | + | 0.999990i | \(0.498572\pi\) | |||||||
\(500\) | 1000.00 | 0.0894427 | ||||||||
\(501\) | 6252.00 | 0.557522 | ||||||||
\(502\) | −4992.00 | −0.443832 | ||||||||
\(503\) | −2602.00 | −0.230651 | −0.115325 | − | 0.993328i | \(-0.536791\pi\) | ||||
−0.115325 | + | 0.993328i | \(0.536791\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3510.00 | −0.309293 | ||||||||
\(506\) | 9984.00 | 0.877160 | ||||||||
\(507\) | 1506.00 | 0.131921 | ||||||||
\(508\) | 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 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −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 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −156.000 | −0.0131939 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 3638.00 | 0.305919 | 0.152959 | − | 0.988232i | \(-0.451120\pi\) | ||||
0.152959 | + | 0.988232i | \(0.451120\pi\) | |||||||
\(522\) | −4600.00 | −0.385702 | ||||||||
\(523\) | 2078.00 | 0.173737 | 0.0868686 | − | 0.996220i | \(-0.472314\pi\) | ||||
0.0868686 | + | 0.996220i | \(0.472314\pi\) | |||||||
\(524\) | 17664.0 | 1.47262 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 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 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −836.000 | −0.0679384 | ||||||||
\(534\) | 1200.00 | 0.0972455 | ||||||||
\(535\) | −5970.00 | −0.482440 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 2600.00 | 0.208935 | ||||||||
\(538\) | −26200.0 | −2.09956 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 4000.00 | 0.318764 | ||||||||
\(541\) | 5622.00 | 0.446781 | 0.223391 | − | 0.974729i | \(-0.428287\pi\) | ||||
0.223391 | + | 0.974729i | \(0.428287\pi\) | |||||||
\(542\) | −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 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −2184.00 | −0.167490 | ||||||||
\(555\) | −2660.00 | −0.203443 | ||||||||
\(556\) | 5600.00 | 0.427146 | ||||||||
\(557\) | 11706.0 | 0.890483 | 0.445242 | − | 0.895410i | \(-0.353118\pi\) | ||||
0.445242 | + | 0.895410i | \(0.353118\pi\) | |||||||
\(558\) | 9936.00 | 0.753807 | ||||||||
\(559\) | 16796.0 | 1.27083 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1664.00 | 0.125230 | ||||||||
\(562\) | 27432.0 | 2.05898 | ||||||||
\(563\) | 25038.0 | 1.87429 | 0.937146 | − | 0.348939i | \(-0.113458\pi\) | ||||
0.937146 | + | 0.348939i | \(0.113458\pi\) | |||||||
\(564\) | −8224.00 | −0.613994 | ||||||||
\(565\) | 7810.00 | 0.581538 | ||||||||
\(566\) | 37128.0 | 2.75725 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 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 | \(0.371596\pi\) | |||||||
\(572\) | 9728.00 | 0.711098 | ||||||||
\(573\) | −7544.00 | −0.550009 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −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 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −3088.00 | −0.219934 | ||||||||
\(583\) | 64.0000 | 0.00454650 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −4370.00 | −0.308850 | ||||||||
\(586\) | 19368.0 | 1.36533 | ||||||||
\(587\) | −14166.0 | −0.996071 | −0.498035 | − | 0.867157i | \(-0.665945\pi\) | ||||
−0.498035 | + | 0.867157i | \(0.665945\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −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 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 16400.0 | 1.12713 | ||||||||
\(597\) | −5200.00 | −0.356485 | ||||||||
\(598\) | 11856.0 | 0.810749 | ||||||||
\(599\) | −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 | \(-0.877211\pi\) | ||||
−0.926516 | + | 0.376256i | \(0.877211\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −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 | \(-0.459514\pi\) | ||||
0.126848 | + | 0.991922i | \(0.459514\pi\) | |||||||
\(608\) | −25600.0 | −1.70759 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −10360.0 | −0.687646 | ||||||||
\(611\) | 19532.0 | 1.29326 | ||||||||
\(612\) | 4784.00 | 0.315983 | ||||||||
\(613\) | −13238.0 | −0.872231 | −0.436116 | − | 0.899891i | \(-0.643646\pi\) | ||||
−0.436116 | + | 0.899891i | \(0.643646\pi\) | |||||||
\(614\) | −10376.0 | −0.681989 | ||||||||
\(615\) | 220.000 | 0.0144248 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −11574.0 | −0.755189 | −0.377595 | − | 0.925971i | \(-0.623249\pi\) | ||||
−0.377595 | + | 0.925971i | \(0.623249\pi\) | |||||||
\(618\) | 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 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 4864.00 | 0.312045 | ||||||||
\(625\) | 625.000 | 0.0400000 | ||||||||
\(626\) | 6248.00 | 0.398914 | ||||||||
\(627\) | 6400.00 | 0.407642 | ||||||||
\(628\) | 19952.0 | 1.26779 | ||||||||
\(629\) | −6916.00 | −0.438409 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7508.00 | −0.473675 | −0.236837 | − | 0.971549i | \(-0.576111\pi\) | ||||
−0.236837 | + | 0.971549i | \(0.576111\pi\) | |||||||
\(632\) | 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 | \(0.517990\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −4420.00 | −0.269825 | ||||||||
\(646\) | −10400.0 | −0.633409 | ||||||||
\(647\) | 10114.0 | 0.614563 | 0.307282 | − | 0.951619i | \(-0.400581\pi\) | ||||
0.307282 | + | 0.951619i | \(0.400581\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −16000.0 | −0.967727 | ||||||||
\(650\) | −3800.00 | −0.229305 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 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 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 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 | ||||||||
\(663\) | 1976.00 | 0.115749 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 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 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −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 | ||||||||
\(676\) | −6024.00 | −0.342740 | ||||||||
\(677\) | 30054.0 | 1.70616 | 0.853079 | − | 0.521782i | \(-0.174732\pi\) | ||||
0.853079 | + | 0.521782i | \(0.174732\pi\) | |||||||
\(678\) | 12496.0 | 0.707826 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1292.00 | 0.0727012 | ||||||||
\(682\) | −13824.0 | −0.776171 | ||||||||
\(683\) | −4518.00 | −0.253113 | −0.126557 | − | 0.991959i | \(-0.540393\pi\) | ||||
−0.126557 | + | 0.991959i | \(0.540393\pi\) | |||||||
\(684\) | 18400.0 | 1.02857 | ||||||||
\(685\) | −11670.0 | −0.650931 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7500.00 | 0.416511 | ||||||||
\(688\) | −28288.0 | −1.56754 | ||||||||
\(689\) | 76.0000 | 0.00420228 | ||||||||
\(690\) | −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 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 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 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −5798.00 | −0.312393 | −0.156196 | − | 0.987726i | \(-0.549923\pi\) | ||||
−0.156196 | + | 0.987726i | \(0.549923\pi\) | |||||||
\(702\) | −15200.0 | −0.817218 | ||||||||
\(703\) | −26600.0 | −1.42708 | ||||||||
\(704\) | −16384.0 | −0.877124 | ||||||||
\(705\) | −5140.00 | −0.274587 | ||||||||
\(706\) | −17592.0 | −0.937796 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 8000.00 | 0.424659 | ||||||||
\(709\) | 8950.00 | 0.474082 | 0.237041 | − | 0.971500i | \(-0.423822\pi\) | ||||
0.237041 | + | 0.971500i | \(0.423822\pi\) | |||||||
\(710\) | −8240.00 | −0.435552 | ||||||||
\(711\) | −13800.0 | −0.727905 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −8424.00 | −0.442470 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6080.00 | 0.318013 | ||||||||
\(716\) | −10400.0 | −0.542830 | ||||||||
\(717\) | −2800.00 | −0.145841 | ||||||||
\(718\) | −7200.00 | −0.374236 | ||||||||
\(719\) | −7800.00 | −0.404577 | −0.202289 | − | 0.979326i | \(-0.564838\pi\) | ||||
−0.202289 | + | 0.979326i | \(0.564838\pi\) | |||||||
\(720\) | 7360.00 | 0.380960 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −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 | \(-0.429984\pi\) | ||||
0.218191 | + | 0.975906i | \(0.429984\pi\) | |||||||
\(728\) | 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 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −19968.0 | −1.00004 | ||||||||
\(737\) | 4032.00 | 0.201521 | ||||||||
\(738\) | −2024.00 | −0.100955 | ||||||||
\(739\) | 18700.0 | 0.930840 | 0.465420 | − | 0.885090i | \(-0.345903\pi\) | ||||
0.465420 | + | 0.885090i | \(0.345903\pi\) | |||||||
\(740\) | 10640.0 | 0.528560 | ||||||||
\(741\) | 7600.00 | 0.376779 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 12242.0 | 0.604462 | 0.302231 | − | 0.953235i | \(-0.402269\pi\) | ||||
0.302231 | + | 0.953235i | \(0.402269\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10250.0 | 0.504068 | ||||||||
\(746\) | 8312.00 | 0.407941 | ||||||||
\(747\) | 6486.00 | 0.317685 | ||||||||
\(748\) | −6656.00 | −0.325358 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 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 | ||||||||
\(754\) | 7600.00 | 0.367076 | ||||||||
\(755\) | 9260.00 | 0.446365 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −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 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 30176.0 | 1.42897 | ||||||||
\(765\) | 2990.00 | 0.141312 | ||||||||
\(766\) | −30072.0 | −1.41847 | ||||||||
\(767\) | −19000.0 | −0.894459 | ||||||||
\(768\) | −8192.00 | −0.384900 | ||||||||
\(769\) | 39550.0 | 1.85463 | 0.927314 | − | 0.374283i | \(-0.122111\pi\) | ||||
0.927314 | + | 0.374283i | \(0.122111\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 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 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7800.00 | 0.359439 | ||||||||
\(779\) | 2200.00 | 0.101185 | ||||||||
\(780\) | −3040.00 | −0.139551 | ||||||||
\(781\) | 13184.0 | 0.604047 | ||||||||
\(782\) | −8112.00 | −0.370952 | ||||||||
\(783\) | −5000.00 | −0.228206 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 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 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 19684.0 | 0.881462 | ||||||||
\(794\) | 55144.0 | 2.46472 | ||||||||
\(795\) | −20.0000 | −0.000892235 0 | ||||||||
\(796\) | 20800.0 | 0.926176 | ||||||||
\(797\) | −27586.0 | −1.22603 | −0.613015 | − | 0.790071i | \(-0.710044\pi\) | ||||
−0.613015 | + | 0.790071i | \(0.710044\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −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 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −16416.0 | −0.717406 | ||||||||
\(807\) | −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 | \(0.569687\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −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 | \(-0.356027\pi\) | ||||
0.437039 | + | 0.899442i | \(0.356027\pi\) | |||||||
\(822\) | −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 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 8846.00 | 0.371954 | 0.185977 | − | 0.982554i | \(-0.440455\pi\) | ||||
0.185977 | + | 0.982554i | \(0.440455\pi\) | |||||||
\(828\) | 14352.0 | 0.602375 | ||||||||
\(829\) | 25350.0 | 1.06205 | 0.531026 | − | 0.847355i | \(-0.321806\pi\) | ||||
0.531026 | + | 0.847355i | \(0.321806\pi\) | |||||||
\(830\) | 5640.00 | 0.235864 | ||||||||
\(831\) | −1092.00 | −0.0455849 | ||||||||
\(832\) | −19456.0 | −0.810716 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 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 | ||||||||
\(845\) | −3765.00 | −0.153278 | ||||||||
\(846\) | 47288.0 | 1.92174 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −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 | \(0.389184\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 11500.0 | 0.459990 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 26494.0 | 1.05603 | 0.528015 | − | 0.849235i | \(-0.322936\pi\) | ||||
0.528015 | + | 0.849235i | \(0.322936\pi\) | |||||||
\(858\) | 9728.00 | 0.387073 | ||||||||
\(859\) | 21500.0 | 0.853982 | 0.426991 | − | 0.904256i | \(-0.359574\pi\) | ||||
0.426991 | + | 0.904256i | \(0.359574\pi\) | |||||||
\(860\) | 17680.0 | 0.701027 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −30768.0 | −1.21573 | ||||||||
\(863\) | 25762.0 | 1.01616 | 0.508082 | − | 0.861309i | \(-0.330355\pi\) | ||||
0.508082 | + | 0.861309i | \(0.330355\pi\) | |||||||
\(864\) | 25600.0 | 1.00802 | ||||||||
\(865\) | 390.000 | 0.0153299 | ||||||||
\(866\) | −4472.00 | −0.175479 | ||||||||
\(867\) | 8474.00 | 0.331940 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 19200.0 | 0.749500 | ||||||||
\(870\) | −2000.00 | −0.0779383 | ||||||||
\(871\) | 4788.00 | 0.186263 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 8878.00 | 0.344186 | ||||||||
\(874\) | −31200.0 | −1.20750 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −14048.0 | −0.541824 | ||||||||
\(877\) | 30546.0 | 1.17613 | 0.588064 | − | 0.808814i | \(-0.299890\pi\) | ||||
0.588064 | + | 0.808814i | \(0.299890\pi\) | |||||||
\(878\) | −10400.0 | −0.399753 | ||||||||
\(879\) | 9684.00 | 0.371596 | ||||||||
\(880\) | −10240.0 | −0.392262 | ||||||||
\(881\) | −32942.0 | −1.25976 | −0.629878 | − | 0.776694i | \(-0.716895\pi\) | ||||
−0.629878 | + | 0.776694i | \(0.716895\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −27118.0 | −1.03351 | −0.516757 | − | 0.856132i | \(-0.672861\pi\) | ||||
−0.516757 | + | 0.856132i | \(0.672861\pi\) | |||||||
\(884\) | −7904.00 | −0.300724 | ||||||||
\(885\) | 5000.00 | 0.189913 | ||||||||
\(886\) | 47832.0 | 1.81371 | ||||||||
\(887\) | 38634.0 | 1.46246 | 0.731230 | − | 0.682131i | \(-0.238946\pi\) | ||||
0.731230 | + | 0.682131i | \(0.238946\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −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 | ||||||||
\(897\) | 5928.00 | 0.220658 | ||||||||
\(898\) | 68200.0 | 2.53437 | ||||||||
\(899\) | −5400.00 | −0.200334 | ||||||||
\(900\) | −4600.00 | −0.170370 | ||||||||
\(901\) | −52.0000 | −0.00192272 | ||||||||
\(902\) | 2816.00 | 0.103950 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 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 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 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 | ||||||||
\(923\) | 15656.0 | 0.558314 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 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 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 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 | \(-0.436692\pi\) | ||||
0.197580 | + | 0.980287i | \(0.436692\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 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 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −56576.0 | −1.94444 | ||||||||
\(947\) | 4686.00 | 0.160797 | 0.0803984 | − | 0.996763i | \(-0.474381\pi\) | ||||
0.0803984 | + | 0.996763i | \(0.474381\pi\) | |||||||
\(948\) | −9600.00 | −0.328896 | ||||||||
\(949\) | 33364.0 | 1.14124 | ||||||||
\(950\) | 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 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 5120.00 | 0.172133 | ||||||||
\(961\) | −18127.0 | −0.608472 | ||||||||
\(962\) | −40432.0 | −1.35507 | ||||||||
\(963\) | 27462.0 | 0.918952 | ||||||||
\(964\) | −24176.0 | −0.807735 | ||||||||
\(965\) | −1790.00 | −0.0597121 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 41726.0 | 1.38761 | 0.693804 | − | 0.720163i | \(-0.255933\pi\) | ||||
0.693804 | + | 0.720163i | \(0.255933\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −5200.00 | −0.172392 | ||||||||
\(970\) | 7720.00 | 0.255540 | ||||||||
\(971\) | −24312.0 | −0.803511 | −0.401756 | − | 0.915747i | \(-0.631600\pi\) | ||||
−0.401756 | + | 0.915747i | \(0.631600\pi\) | |||||||
\(972\) | −28336.0 | −0.935059 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −4664.00 | −0.153433 | ||||||||
\(975\) | −1900.00 | −0.0624089 | ||||||||
\(976\) | −33152.0 | −1.08726 | ||||||||
\(977\) | 40946.0 | 1.34082 | 0.670409 | − | 0.741992i | \(-0.266119\pi\) | ||||
0.670409 | + | 0.741992i | \(0.266119\pi\) | |||||||
\(978\) | 22096.0 | 0.722446 | ||||||||
\(979\) | 4800.00 | 0.156699 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 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 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −30400.0 | −0.978900 | ||||||||
\(989\) | −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 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 13000.0 | 0.414199 | ||||||||
\(996\) | 4512.00 | 0.143542 | ||||||||
\(997\) | 31614.0 | 1.00424 | 0.502119 | − | 0.864798i | \(-0.332554\pi\) | ||||
0.502119 | + | 0.864798i | \(0.332554\pi\) | |||||||
\(998\) | −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 \(a_p\))