Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1280,3,Mod(1151,1280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1280, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1280.1151");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1280 = 2^{8} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 1280.g (of order \(2\), degree \(1\), not minimal) |
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: | no |
Analytic conductor: | \(34.8774738381\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 2^{16} \) |
Twist minimal: | no (minimal twist has level 20) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1151.6 | ||
Root | \(-0.587785 + 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1280.1151 |
Dual form | 1280.3.g.e.1151.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1280\mathbb{Z}\right)^\times\).
\(n\) | \(257\) | \(261\) | \(511\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 2.35114 | 0.783714 | 0.391857 | − | 0.920026i | \(-0.371833\pi\) | ||||
0.391857 | + | 0.920026i | \(0.371833\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.23607i | 0.447214i | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 5.25731i | 0.751044i | 0.926813 | + | 0.375522i | \(0.122537\pi\) | ||||
−0.926813 | + | 0.375522i | \(0.877463\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −3.47214 | −0.385793 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 19.9192 | 1.81084 | 0.905418 | − | 0.424522i | \(-0.139558\pi\) | ||||
0.905418 | + | 0.424522i | \(0.139558\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − 8.47214i | − 0.651703i | −0.945421 | − | 0.325851i | \(-0.894349\pi\) | ||||
0.945421 | − | 0.325851i | \(-0.105651\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.25731i | 0.350487i | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 11.8885 | 0.699326 | 0.349663 | − | 0.936876i | \(-0.386296\pi\) | ||||
0.349663 | + | 0.936876i | \(0.386296\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 15.2169 | 0.800890 | 0.400445 | − | 0.916321i | \(-0.368856\pi\) | ||||
0.400445 | + | 0.916321i | \(0.368856\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 12.3607i | 0.588604i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.555029i | 0.0241317i | 0.999927 | + | 0.0120659i | \(0.00384077\pi\) | ||||
−0.999927 | + | 0.0120659i | \(0.996159\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −5.00000 | −0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −29.3238 | −1.08606 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − 10.9443i | − 0.377389i | −0.982036 | − | 0.188694i | \(-0.939574\pi\) | ||||
0.982036 | − | 0.188694i | \(-0.0604255\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − 8.29451i | − 0.267565i | −0.991011 | − | 0.133782i | \(-0.957288\pi\) | ||||
0.991011 | − | 0.133782i | \(-0.0427123\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 46.8328 | 1.41918 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −11.7557 | −0.335877 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 18.3607i | 0.496235i | 0.968730 | + | 0.248117i | \(0.0798118\pi\) | ||||
−0.968730 | + | 0.248117i | \(0.920188\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | − 19.9192i | − 0.510748i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 14.5836 | 0.355697 | 0.177849 | − | 0.984058i | \(-0.443086\pi\) | ||||
0.177849 | + | 0.984058i | \(0.443086\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 22.2703 | 0.517915 | 0.258957 | − | 0.965889i | \(-0.416621\pi\) | ||||
0.258957 | + | 0.965889i | \(0.416621\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | − 7.76393i | − 0.172532i | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 53.3902i | 1.13596i | 0.823042 | + | 0.567981i | \(0.192275\pi\) | ||||
−0.823042 | + | 0.567981i | \(0.807725\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 21.3607 | 0.435932 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 27.9516 | 0.548071 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 66.3607i | 1.25209i | 0.779788 | + | 0.626044i | \(0.215327\pi\) | ||||
−0.779788 | + | 0.626044i | \(0.784673\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 44.5407i | 0.809830i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 35.7771 | 0.627668 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 17.4370 | 0.295543 | 0.147771 | − | 0.989022i | \(-0.452790\pi\) | ||||
0.147771 | + | 0.989022i | \(0.452790\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 90.1378i | 1.47767i | 0.673887 | + | 0.738834i | \(0.264623\pi\) | ||||
−0.673887 | + | 0.738834i | \(0.735377\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | − 18.2541i | − 0.289748i | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 18.9443 | 0.291450 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −50.2220 | −0.749582 | −0.374791 | − | 0.927109i | \(-0.622285\pi\) | ||||
−0.374791 | + | 0.927109i | \(0.622285\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.30495i | 0.0189123i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 80.7868i | 1.13784i | 0.822392 | + | 0.568921i | \(0.192639\pi\) | ||||
−0.822392 | + | 0.568921i | \(0.807361\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.55418 | 0.0760846 | 0.0380423 | − | 0.999276i | \(-0.487888\pi\) | ||||
0.0380423 | + | 0.999276i | \(0.487888\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −11.7557 | −0.156743 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 104.721i | 1.36002i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − 13.8448i | − 0.175251i | −0.996154 | − | 0.0876253i | \(-0.972072\pi\) | ||||
0.996154 | − | 0.0876253i | \(-0.0279278\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −37.6950 | −0.465371 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 76.2155 | 0.918260 | 0.459130 | − | 0.888369i | \(-0.348161\pi\) | ||||
0.459130 | + | 0.888369i | \(0.348161\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 26.5836i | 0.312748i | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | − 25.7315i | − 0.295765i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 111.443 | 1.25217 | 0.626083 | − | 0.779757i | \(-0.284657\pi\) | ||||
0.626083 | + | 0.779757i | \(0.284657\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 44.5407 | 0.489458 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | − 19.5016i | − 0.209694i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 34.0260i | 0.358169i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −92.8328 | −0.957039 | −0.478520 | − | 0.878077i | \(-0.658826\pi\) | ||||
−0.478520 | + | 0.878077i | \(0.658826\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −69.1621 | −0.698607 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − 64.1115i | − 0.634767i | −0.948297 | − | 0.317383i | \(-0.897196\pi\) | ||||
0.948297 | − | 0.317383i | \(-0.102804\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − 137.769i | − 1.33757i | −0.743458 | − | 0.668783i | \(-0.766816\pi\) | ||||
0.743458 | − | 0.668783i | \(-0.233184\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −27.6393 | −0.263232 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −51.3320 | −0.479739 | −0.239869 | − | 0.970805i | \(-0.577105\pi\) | ||||
−0.239869 | + | 0.970805i | \(0.577105\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 133.469i | 1.22449i | 0.790669 | + | 0.612243i | \(0.209733\pi\) | ||||
−0.790669 | + | 0.612243i | \(0.790267\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 43.1685i | 0.388906i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 170.721 | 1.51081 | 0.755404 | − | 0.655259i | \(-0.227441\pi\) | ||||
0.755404 | + | 0.655259i | \(0.227441\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.24108 | −0.0107920 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 29.4164i | 0.251422i | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 62.5018i | 0.525225i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 275.774 | 2.27912 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 34.2881 | 0.278765 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − 11.1803i | − 0.0894427i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − 198.637i | − 1.56407i | −0.623235 | − | 0.782035i | \(-0.714182\pi\) | ||||
0.623235 | − | 0.782035i | \(-0.285818\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 52.3607 | 0.405897 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.77041 | −0.0593161 | −0.0296580 | − | 0.999560i | \(-0.509442\pi\) | ||||
−0.0296580 | + | 0.999560i | \(0.509442\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 80.0000i | 0.601504i | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | − 65.5699i | − 0.485703i | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −0.832816 | −0.00607895 | −0.00303947 | − | 0.999995i | \(-0.500967\pi\) | ||||
−0.00303947 | + | 0.999995i | \(0.500967\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −237.658 | −1.70977 | −0.854885 | − | 0.518817i | \(-0.826373\pi\) | ||||
−0.854885 | + | 0.518817i | \(0.826373\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 125.528i | 0.890269i | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | − 168.758i | − 1.18013i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 24.4721 | 0.168773 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 50.2220 | 0.341646 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 36.9706i | 0.248125i | 0.992274 | + | 0.124062i | \(0.0395923\pi\) | ||||
−0.992274 | + | 0.124062i | \(0.960408\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − 282.723i | − 1.87234i | −0.351552 | − | 0.936168i | \(-0.614346\pi\) | ||||
0.351552 | − | 0.936168i | \(-0.385654\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −41.2786 | −0.269795 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 18.5471 | 0.119659 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 204.748i | 1.30413i | 0.758165 | + | 0.652063i | \(0.226096\pi\) | ||||
−0.758165 | + | 0.652063i | \(0.773904\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 156.023i | 0.981279i | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.91796 | −0.0181240 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −107.235 | −0.657885 | −0.328943 | − | 0.944350i | \(-0.606692\pi\) | ||||
−0.328943 | + | 0.944350i | \(0.606692\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 104.721i | 0.634675i | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | − 33.2090i | − 0.198856i | −0.995045 | − | 0.0994280i | \(-0.968299\pi\) | ||||
0.995045 | − | 0.0994280i | \(-0.0317013\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 97.2229 | 0.575284 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −52.8352 | −0.308978 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | − 226.361i | − 1.30844i | −0.756303 | − | 0.654222i | \(-0.772996\pi\) | ||||
0.756303 | − | 0.654222i | \(-0.227004\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − 26.2866i | − 0.150209i | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 40.9969 | 0.231621 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −224.337 | −1.25328 | −0.626641 | − | 0.779308i | \(-0.715571\pi\) | ||||
−0.626641 | + | 0.779308i | \(0.715571\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − 86.2229i | − 0.476370i | −0.971220 | − | 0.238185i | \(-0.923448\pi\) | ||||
0.971220 | − | 0.238185i | \(-0.0765524\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 211.927i | 1.15807i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −41.0557 | −0.221923 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 236.810 | 1.26636 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | − 154.164i | − 0.815683i | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − 31.0198i | − 0.162407i | −0.996698 | − | 0.0812036i | \(-0.974124\pi\) | ||||
0.996698 | − | 0.0812036i | \(-0.0258764\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 110.223 | 0.571103 | 0.285552 | − | 0.958363i | \(-0.407823\pi\) | ||||
0.285552 | + | 0.958363i | \(0.407823\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 44.5407 | 0.228414 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 172.525i | 0.875760i | 0.899033 | + | 0.437880i | \(0.144271\pi\) | ||||
−0.899033 | + | 0.437880i | \(0.855729\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 272.208i | 1.36788i | 0.729538 | + | 0.683940i | \(0.239735\pi\) | ||||
−0.729538 | + | 0.683940i | \(0.760265\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −118.079 | −0.587457 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 57.5374 | 0.283436 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 32.6099i | 0.159073i | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | − 1.92714i | − 0.00930984i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 303.108 | 1.45028 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 205.266 | 0.972826 | 0.486413 | − | 0.873729i | \(-0.338305\pi\) | ||||
0.486413 | + | 0.873729i | \(0.338305\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 189.941i | 0.891743i | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 49.7980i | 0.231618i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 43.6068 | 0.200953 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 13.0586 | 0.0596285 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − 100.721i | − 0.455753i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 235.731i | 1.05709i | 0.848905 | + | 0.528545i | \(0.177262\pi\) | ||||
−0.848905 | + | 0.528545i | \(0.822738\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 17.3607 | 0.0771586 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 58.5165 | 0.257782 | 0.128891 | − | 0.991659i | \(-0.458858\pi\) | ||||
0.128891 | + | 0.991659i | \(0.458858\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − 162.721i | − 0.710574i | −0.934757 | − | 0.355287i | \(-0.884383\pi\) | ||||
0.934757 | − | 0.355287i | \(-0.115617\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 246.215i | 1.06586i | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −319.050 | −1.36931 | −0.684656 | − | 0.728867i | \(-0.740047\pi\) | ||||
−0.684656 | + | 0.728867i | \(0.740047\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −119.384 | −0.508017 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − 32.5511i | − 0.137346i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 236.810i | 0.990837i | 0.868654 | + | 0.495419i | \(0.164985\pi\) | ||||
−0.868654 | + | 0.495419i | \(0.835015\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.917961 | −0.00380897 | −0.00190448 | − | 0.999998i | \(-0.500606\pi\) | ||||
−0.00190448 | + | 0.999998i | \(0.500606\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 175.287 | 0.721347 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 47.7639i | 0.194955i | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − 128.920i | − 0.521942i | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 179.193 | 0.719653 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −136.690 | −0.544582 | −0.272291 | − | 0.962215i | \(-0.587781\pi\) | ||||
−0.272291 | + | 0.962215i | \(0.587781\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11.0557i | 0.0436985i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 62.5018i | 0.245105i | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −274.944 | −1.06982 | −0.534911 | − | 0.844908i | \(-0.679655\pi\) | ||||
−0.534911 | + | 0.844908i | \(0.679655\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −96.5278 | −0.372694 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 38.0000i | 0.145594i | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | − 406.385i | − 1.54519i | −0.634899 | − | 0.772596i | \(-0.718958\pi\) | ||||
0.634899 | − | 0.772596i | \(-0.281042\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −148.387 | −0.559951 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 262.018 | 0.981339 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − 348.525i | − 1.29563i | −0.761797 | − | 0.647816i | \(-0.775683\pi\) | ||||
0.761797 | − | 0.647816i | \(-0.224317\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − 247.849i | − 0.914571i | −0.889320 | − | 0.457286i | \(-0.848822\pi\) | ||||
0.889320 | − | 0.457286i | \(-0.151178\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 104.721 | 0.383595 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −99.5959 | −0.362167 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 54.7539i | 0.197667i | 0.995104 | + | 0.0988337i | \(0.0315112\pi\) | ||||
−0.995104 | + | 0.0988337i | \(0.968489\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 28.7997i | 0.103225i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 50.3607 | 0.179220 | 0.0896098 | − | 0.995977i | \(-0.471438\pi\) | ||||
0.0896098 | + | 0.995977i | \(0.471438\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −147.336 | −0.520621 | −0.260310 | − | 0.965525i | \(-0.583825\pi\) | ||||
−0.260310 | + | 0.965525i | \(0.583825\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 80.0000i | 0.280702i | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 76.6705i | 0.267145i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −147.663 | −0.510943 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −218.263 | −0.750045 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − 178.859i | − 0.610441i | −0.952282 | − | 0.305220i | \(-0.901270\pi\) | ||||
0.952282 | − | 0.305220i | \(-0.0987301\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 38.9904i | 0.132171i | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −584.105 | −1.96668 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 4.70228 | 0.0157267 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 117.082i | 0.388977i | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | − 150.735i | − 0.497475i | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −201.554 | −0.660833 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 284.550 | 0.926873 | 0.463436 | − | 0.886130i | \(-0.346616\pi\) | ||||
0.463436 | + | 0.886130i | \(0.346616\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − 323.915i | − 1.04827i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | − 282.199i | − 0.907392i | −0.891157 | − | 0.453696i | \(-0.850105\pi\) | ||||
0.891157 | − | 0.453696i | \(-0.149895\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 567.548 | 1.81325 | 0.906626 | − | 0.421935i | \(-0.138649\pi\) | ||||
0.906626 | + | 0.421935i | \(0.138649\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 40.8174 | 0.129579 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 161.141i | 0.508331i | 0.967161 | + | 0.254165i | \(0.0818008\pi\) | ||||
−0.967161 | + | 0.254165i | \(0.918199\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − 218.001i | − 0.683389i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −120.689 | −0.375978 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 180.907 | 0.560083 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 42.3607i | 0.130341i | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 313.805i | 0.959647i | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −280.689 | −0.853158 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 331.966 | 1.00292 | 0.501459 | − | 0.865181i | \(-0.332797\pi\) | ||||
0.501459 | + | 0.865181i | \(0.332797\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | − 63.7508i | − 0.191444i | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | − 112.300i | − 0.335223i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −269.108 | −0.798541 | −0.399271 | − | 0.916833i | \(-0.630737\pi\) | ||||
−0.399271 | + | 0.916833i | \(0.630737\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 401.390 | 1.18404 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − 165.220i | − 0.484516i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 369.908i | 1.07845i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −2.91796 | −0.00845786 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −503.075 | −1.44978 | −0.724892 | − | 0.688863i | \(-0.758110\pi\) | ||||
−0.724892 | + | 0.688863i | \(0.758110\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − 0.504658i | − 0.00144601i | −1.00000 | 0.000723006i | \(-0.999770\pi\) | |||||
1.00000 | 0.000723006i | \(-0.000230140\pi\) | ||||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 248.435i | 0.707791i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −335.994 | −0.951824 | −0.475912 | − | 0.879493i | \(-0.657882\pi\) | ||||
−0.475912 | + | 0.879493i | \(0.657882\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −180.645 | −0.508859 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 146.950i | 0.411626i | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − 98.4859i | − 0.274334i | −0.990548 | − | 0.137167i | \(-0.956200\pi\) | ||||
0.990548 | − | 0.137167i | \(-0.0437997\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −129.446 | −0.358576 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 648.384 | 1.78618 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 12.4195i | 0.0340261i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 498.473i | 1.35824i | 0.734029 | + | 0.679118i | \(0.237638\pi\) | ||||
−0.734029 | + | 0.679118i | \(0.762362\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −50.6362 | −0.137226 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −348.879 | −0.940374 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − 600.354i | − 1.60953i | −0.593594 | − | 0.804765i | \(-0.702291\pi\) | ||||
0.593594 | − | 0.804765i | \(-0.297709\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | − 26.2866i | − 0.0700975i | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −92.7214 | −0.245945 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 303.490 | 0.800765 | 0.400383 | − | 0.916348i | \(-0.368877\pi\) | ||||
0.400383 | + | 0.916348i | \(0.368877\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − 467.023i | − 1.22578i | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | − 332.583i | − 0.868362i | −0.900826 | − | 0.434181i | \(-0.857038\pi\) | ||||
0.900826 | − | 0.434181i | \(-0.142962\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −234.164 | −0.608218 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −77.3256 | −0.199808 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | − 392.354i | − 1.00862i | −0.863522 | − | 0.504312i | \(-0.831746\pi\) | ||||
0.863522 | − | 0.504312i | \(-0.168254\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.59849i | 0.0168759i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −18.2693 | −0.0464868 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 30.9579 | 0.0783744 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 334.190i | 0.841789i | 0.907110 | + | 0.420895i | \(0.138284\pi\) | ||||
−0.907110 | + | 0.420895i | \(0.861716\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 188.091i | 0.471407i | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 121.003 | 0.301753 | 0.150877 | − | 0.988553i | \(-0.451790\pi\) | ||||
0.150877 | + | 0.988553i | \(0.451790\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −70.2722 | −0.174373 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | − 84.2887i | − 0.208120i | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 365.730i | 0.898599i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 607.410 | 1.48511 | 0.742555 | − | 0.669785i | \(-0.233614\pi\) | ||||
0.742555 | + | 0.669785i | \(0.233614\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.95807 | −0.00476415 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 91.6718i | 0.221966i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 170.423i | 0.410658i | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −558.768 | −1.33997 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 466.760 | 1.11398 | 0.556992 | − | 0.830518i | \(-0.311955\pi\) | ||||
0.556992 | + | 0.830518i | \(0.311955\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 73.0883i | 0.173606i | 0.996225 | + | 0.0868031i | \(0.0276651\pi\) | ||||
−0.996225 | + | 0.0868031i | \(0.972335\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | − 185.378i | − 0.438246i | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −59.4427 | −0.139865 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −473.882 | −1.10979 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | − 396.774i | − 0.924881i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − 463.630i | − 1.07571i | −0.843038 | − | 0.537853i | \(-0.819235\pi\) | ||||
0.843038 | − | 0.537853i | \(-0.180765\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −99.8359 | −0.230568 | −0.115284 | − | 0.993333i | \(-0.536778\pi\) | ||||
−0.115284 | + | 0.993333i | \(0.536778\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 57.5374 | 0.132270 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 8.44582i | 0.0193268i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − 374.086i | − 0.852133i | −0.904692 | − | 0.426066i | \(-0.859899\pi\) | ||||
0.904692 | − | 0.426066i | \(-0.140101\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −74.1672 | −0.168180 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −290.100 | −0.654854 | −0.327427 | − | 0.944877i | \(-0.606182\pi\) | ||||
−0.327427 | + | 0.944877i | \(0.606182\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 249.193i | 0.559985i | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 86.9231i | 0.194459i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 299.921 | 0.667976 | 0.333988 | − | 0.942577i | \(-0.391606\pi\) | ||||
0.333988 | + | 0.942577i | \(0.391606\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 290.493 | 0.644109 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | − 664.721i | − 1.46738i | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 99.5959i | 0.218892i | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −822.328 | −1.79941 | −0.899703 | − | 0.436503i | \(-0.856217\pi\) | ||||
−0.899703 | + | 0.436503i | \(0.856217\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −348.617 | −0.759513 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − 456.885i | − 0.991075i | −0.868587 | − | 0.495537i | \(-0.834971\pi\) | ||||
0.868587 | − | 0.495537i | \(-0.165029\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 400.249i | 0.864469i | 0.901761 | + | 0.432234i | \(0.142275\pi\) | ||||
−0.901761 | + | 0.432234i | \(0.857725\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 43.6068 | 0.0937781 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −913.145 | −1.95534 | −0.977672 | − | 0.210139i | \(-0.932608\pi\) | ||||
−0.977672 | + | 0.210139i | \(0.932608\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − 264.033i | − 0.562969i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 481.391i | 1.02206i | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 443.607 | 0.937858 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −76.0845 | −0.160178 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − 230.413i | − 0.483047i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | − 526.131i | − 1.09840i | −0.835692 | − | 0.549198i | \(-0.814933\pi\) | ||||
0.835692 | − | 0.549198i | \(-0.185067\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 155.554 | 0.323397 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −6.86054 | −0.0142040 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − 207.580i | − 0.428001i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − 443.541i | − 0.910762i | −0.890297 | − | 0.455381i | \(-0.849503\pi\) | ||||
0.890297 | − | 0.455381i | \(-0.150497\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −252.125 | −0.515594 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −287.163 | −0.584854 | −0.292427 | − | 0.956288i | \(-0.594463\pi\) | ||||
−0.292427 | + | 0.956288i | \(0.594463\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − 130.111i | − 0.263918i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | − 154.651i | − 0.312427i | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −424.721 | −0.854570 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −810.936 | −1.62512 | −0.812561 | − | 0.582876i | \(-0.801927\pi\) | ||||
−0.812561 | + | 0.582876i | \(0.801927\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | − 78.0789i | − 0.155846i | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − 642.471i | − 1.27728i | −0.769506 | − | 0.638639i | \(-0.779498\pi\) | ||||
0.769506 | − | 0.638639i | \(-0.220502\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 143.358 | 0.283876 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 228.585 | 0.450858 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | − 915.050i | − 1.79774i | −0.438216 | − | 0.898870i | \(-0.644389\pi\) | ||||
0.438216 | − | 0.898870i | \(-0.355611\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 29.2000i | 0.0571429i | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −446.217 | −0.869818 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 308.061 | 0.598177 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1063.49i | 2.05704i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − 532.206i | − 1.02544i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −1006.98 | −1.93279 | −0.966396 | − | 0.257058i | \(-0.917247\pi\) | ||||
−0.966396 | + | 0.257058i | \(0.917247\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −774.173 | −1.48025 | −0.740127 | − | 0.672467i | \(-0.765235\pi\) | ||||
−0.740127 | + | 0.672467i | \(0.765235\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | − 61.8034i | − 0.117721i | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | − 98.6096i | − 0.187115i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 528.692 | 0.999418 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −60.5437 | −0.114018 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − 123.554i | − 0.231809i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − 114.782i | − 0.214546i | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −527.449 | −0.982214 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 425.487 | 0.789401 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − 259.115i | − 0.478955i | −0.970902 | − | 0.239477i | \(-0.923024\pi\) | ||||
0.970902 | − | 0.239477i | \(-0.0769761\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | − 202.722i | − 0.373337i | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −298.446 | −0.547607 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 149.818 | 0.273890 | 0.136945 | − | 0.990579i | \(-0.456272\pi\) | ||||
0.136945 | + | 0.990579i | \(0.456272\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | − 312.971i | − 0.570074i | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − 166.538i | − 0.302247i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 72.7864 | 0.131621 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −96.5278 | −0.173924 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 511.698i | 0.918668i | 0.888264 | + | 0.459334i | \(0.151912\pi\) | ||||
−0.888264 | + | 0.459334i | \(0.848088\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − 188.677i | − 0.337526i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 556.774 | 0.992467 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −490.726 | −0.871627 | −0.435814 | − | 0.900037i | \(-0.643539\pi\) | ||||
−0.435814 | + | 0.900037i | \(0.643539\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 381.745i | 0.675654i | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | − 198.175i | − 0.349514i | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 232.748 | 0.409047 | 0.204523 | − | 0.978862i | \(-0.434436\pi\) | ||||
0.204523 | + | 0.978862i | \(0.434436\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −210.755 | −0.369098 | −0.184549 | − | 0.982823i | \(-0.559082\pi\) | ||||
−0.184549 | + | 0.982823i | \(0.559082\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − 72.9318i | − 0.127281i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − 2.77515i | − 0.00482634i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 341.712 | 0.592222 | 0.296111 | − | 0.955154i | \(-0.404310\pi\) | ||||
0.296111 | + | 0.955154i | \(0.404310\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 259.150 | 0.447581 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 400.689i | 0.689654i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1321.85i | 2.26733i | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −65.7771 | −0.112439 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 618.412 | 1.05351 | 0.526756 | − | 0.850016i | \(-0.323408\pi\) | ||||
0.526756 | + | 0.850016i | \(0.323408\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − 126.217i | − 0.214290i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 405.630i | 0.686345i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 120.663 | 0.203478 | 0.101739 | − | 0.994811i | \(-0.467559\pi\) | ||||
0.101739 | + | 0.994811i | \(0.467559\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −139.758 | −0.234888 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 640.000i | 1.07203i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 849.927i | 1.41891i | 0.704751 | + | 0.709455i | \(0.251059\pi\) | ||||
−0.704751 | + | 0.709455i | \(0.748941\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.3576 | 0.0188978 | 0.00944890 | − | 0.999955i | \(-0.496992\pi\) | ||||
0.00944890 | + | 0.999955i | \(0.496992\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 174.378 | 0.289183 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 616.649i | 1.01926i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − 1115.12i | − 1.83710i | −0.395305 | − | 0.918550i | \(-0.629361\pi\) | ||||
0.395305 | − | 0.918550i | \(-0.370639\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 135.279 | 0.222132 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 452.329 | 0.740309 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − 499.475i | − 0.814805i | −0.913249 | − | 0.407402i | \(-0.866435\pi\) | ||||
0.913249 | − | 0.407402i | \(-0.133565\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 76.6705i | 0.124667i | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −545.935 | −0.884822 | −0.442411 | − | 0.896813i | \(-0.645877\pi\) | ||||
−0.442411 | + | 0.896813i | \(0.645877\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 455.011 | 0.735075 | 0.367537 | − | 0.930009i | \(-0.380201\pi\) | ||||
0.367537 | + | 0.930009i | \(0.380201\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | − 16.2755i | − 0.0262086i | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 585.889i | 0.940432i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 25.0000 | 0.0400000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 712.650 | 1.13660 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 218.282i | 0.347030i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − 267.706i | − 0.424257i | −0.977242 | − | 0.212128i | \(-0.931960\pi\) | ||||
0.977242 | − | 0.212128i | \(-0.0680395\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 482.610 | 0.762417 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 444.165 | 0.699473 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − 180.971i | − 0.284098i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − 280.503i | − 0.438971i | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −418.571 | −0.652997 | −0.326499 | − | 0.945198i | \(-0.605869\pi\) | ||||
−0.326499 | + | 0.945198i | \(0.605869\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −439.339 | −0.683265 | −0.341633 | − | 0.939834i | \(-0.610980\pi\) | ||||
−0.341633 | + | 0.939834i | \(0.610980\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 117.082i | 0.181523i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | − 419.644i | − 0.648600i | −0.945954 | − | 0.324300i | \(-0.894871\pi\) | ||||
0.945954 | − | 0.324300i | \(-0.105129\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 347.331 | 0.535179 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 102.526 | 0.157490 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | − 370.085i | − 0.566746i | −0.959010 | − | 0.283373i | \(-0.908547\pi\) | ||||
0.959010 | − | 0.283373i | \(-0.0914534\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − 17.3752i | − 0.0265270i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −19.2849 | −0.0293529 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 322.823 | 0.489868 | 0.244934 | − | 0.969540i | \(-0.421234\pi\) | ||||
0.244934 | + | 0.969540i | \(0.421234\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 812.735i | 1.22955i | 0.788701 | + | 0.614777i | \(0.210754\pi\) | ||||
−0.788701 | + | 0.614777i | \(0.789246\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | − 236.810i | − 0.357180i | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −178.885 | −0.269001 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.07439 | 0.00910703 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 554.237i | 0.828456i | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1795.47i | 2.67581i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 467.378 | 0.694469 | 0.347235 | − | 0.937778i | \(-0.387121\pi\) | ||||
0.347235 | + | 0.937778i | \(0.387121\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 146.619 | 0.217213 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − 548.237i | − 0.809803i | −0.914360 | − | 0.404902i | \(-0.867306\pi\) | ||||
0.914360 | − | 0.404902i | \(-0.132694\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − 488.051i | − 0.718779i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 137.580 | 0.202027 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 23.9663 | 0.0350898 | 0.0175449 | − | 0.999846i | \(-0.494415\pi\) | ||||
0.0175449 | + | 0.999846i | \(0.494415\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − 1.86223i | − 0.00271859i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − 382.581i | − 0.556886i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 562.217 | 0.815989 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 186.981 | 0.270595 | 0.135298 | − | 0.990805i | \(-0.456801\pi\) | ||||
0.135298 | + | 0.990805i | \(0.456801\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | − 363.607i | − 0.524685i | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | − 531.420i | − 0.764633i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 173.378 | 0.248748 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −750.130 | −1.07315 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − 706.636i | − 1.00804i | −0.863692 | − | 0.504020i | \(-0.831854\pi\) | ||||
0.863692 | − | 0.504020i | \(-0.168146\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 279.393i | 0.397429i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −280.689 | −0.398140 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 337.054 | 0.476738 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 188.597i | 0.266005i | 0.991116 | + | 0.133002i | \(0.0424618\pi\) | ||||
−0.991116 | + | 0.133002i | \(0.957538\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 48.0710i | 0.0676104i | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 4.60369 | 0.00645679 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 377.354 | 0.527769 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 556.774i | 0.776533i | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 156.085i | 0.217086i | 0.994092 | + | 0.108543i | \(0.0346186\pi\) | ||||
−0.994092 | + | 0.108543i | \(0.965381\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 724.296 | 1.00457 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −2.15825 | −0.00298514 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 54.7214i | 0.0754777i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 715.164i | 0.983719i | 0.870675 | + | 0.491859i | \(0.163683\pi\) | ||||
−0.870675 | + | 0.491859i | \(0.836317\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 751.381 | 1.03070 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 264.762 | 0.362191 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1233.29i | 1.68252i | 0.540632 | + | 0.841259i | \(0.318185\pi\) | ||||
−0.540632 | + | 0.841259i | \(0.681815\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 112.300i | 0.152789i | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1000.38 | −1.35737 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.55656 | −0.0115786 | −0.00578928 | − | 0.999983i | \(-0.501843\pi\) | ||||
−0.00578928 | + | 0.999983i | \(0.501843\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − 303.108i | − 0.409053i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1010.56i | 1.36011i | 0.733163 | + | 0.680053i | \(0.238043\pi\) | ||||
−0.733163 | + | 0.680053i | \(0.761957\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −82.6687 | −0.110965 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −264.631 | −0.354258 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − 269.868i | − 0.360305i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − 1104.31i | − 1.47046i | −0.677820 | − | 0.735228i | \(-0.737075\pi\) | ||||
0.677820 | − | 0.735228i | \(-0.262925\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −321.378 | −0.426796 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 632.188 | 0.837335 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 875.633i | 1.15671i | 0.815783 | + | 0.578357i | \(0.196306\pi\) | ||||
−0.815783 | + | 0.578357i | \(0.803694\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 25.9936i | 0.0342471i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 647.207 | 0.850470 | 0.425235 | − | 0.905083i | \(-0.360192\pi\) | ||||
0.425235 | + | 0.905083i | \(0.360192\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −701.688 | −0.919644 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | − 92.3018i | − 0.120656i | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | − 147.729i | − 0.192606i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 631.430 | 0.821106 | 0.410553 | − | 0.911837i | \(-0.365336\pi\) | ||||
0.410553 | + | 0.911837i | \(0.365336\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −646.433 | −0.838434 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 421.522i | 0.545306i | 0.962112 | + | 0.272653i | \(0.0879011\pi\) | ||||
−0.962112 | + | 0.272653i | \(0.912099\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 41.4725i | 0.0535129i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −226.950 | −0.292086 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 221.917 | 0.284874 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1609.21i | 2.06044i | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 320.927i | 0.409869i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −457.830 | −0.583223 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −838.633 | −1.06561 | −0.532804 | − | 0.846239i | \(-0.678862\pi\) | ||||
−0.532804 | + | 0.846239i | \(0.678862\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | − 955.469i | − 1.21099i | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 897.535i | 1.13468i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 763.659 | 0.963001 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −348.879 | −0.438841 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1213.57i | 1.52268i | 0.648354 | + | 0.761339i | \(0.275458\pi\) | ||||
−0.648354 | + | 0.761339i | \(0.724542\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 634.732i | 0.794408i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −386.944 | −0.483076 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 110.635 | 0.137777 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | − 6.52476i | − 0.00810529i | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | − 819.431i | − 1.01540i | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 229.214 | 0.283330 | 0.141665 | − | 0.989915i | \(-0.454754\pi\) | ||||
0.141665 | + | 0.989915i | \(0.454754\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 454.225 | 0.560080 | 0.280040 | − | 0.959988i | \(-0.409652\pi\) | ||||
0.280040 | + | 0.959988i | \(0.409652\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − 582.728i | − 0.716762i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | − 239.785i | − 0.294215i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 338.885 | 0.414792 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −154.651 | −0.188829 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − 1130.90i | − 1.37747i | −0.725015 | − | 0.688733i | \(-0.758167\pi\) | ||||
0.725015 | − | 0.688733i | \(-0.241833\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − 780.148i | − 0.947931i | −0.880543 | − | 0.473966i | \(-0.842822\pi\) | ||||
0.880543 | − | 0.473966i | \(-0.157178\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −234.164 | −0.283835 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 209.175 | 0.252932 | 0.126466 | − | 0.991971i | \(-0.459636\pi\) | ||||
0.126466 | + | 0.991971i | \(0.459636\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − 508.525i | − 0.613419i | −0.951803 | − | 0.306710i | \(-0.900772\pi\) | ||||
0.951803 | − | 0.306710i | \(-0.0992281\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 128.734i | 0.154915i | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 253.947 | 0.304859 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 74.2575 | 0.0889311 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 243.226i | 0.290593i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 274.028i | 0.326613i | 0.986575 | + | 0.163306i | \(0.0522159\pi\) | ||||
−0.986575 | + | 0.163306i | \(0.947784\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 721.223 | 0.857578 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 118.405 | 0.140457 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 217.397i | 0.257275i | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1449.83i | 1.71172i | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −346.407 | −0.408018 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −10.1907 | −0.0119750 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1583.28i | 1.85613i | 0.372416 | + | 0.928066i | \(0.378529\pi\) | ||||
−0.372416 | + | 0.928066i | \(0.621471\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | − 118.143i | − 0.138179i | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 1007.38 | 1.17547 | 0.587735 | − | 0.809054i | \(-0.300020\pi\) | ||||
0.587735 | + | 0.809054i | \(0.300020\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −76.6086 | −0.0891835 | −0.0445917 | − | 0.999005i | \(-0.514199\pi\) | ||||
−0.0445917 | + | 0.999005i | \(0.514199\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 180.263i | 0.209365i | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − 255.450i | − 0.296002i | −0.988987 | − | 0.148001i | \(-0.952716\pi\) | ||||
0.988987 | − | 0.148001i | \(-0.0472839\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 506.158 | 0.585154 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −347.175 | −0.400433 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − 275.777i | − 0.317350i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 425.487i | 0.488504i | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 322.328 | 0.369219 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 58.7785 | 0.0671755 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 601.522i | 0.685886i | 0.939356 | + | 0.342943i | \(0.111424\pi\) | ||||
−0.939356 | + | 0.342943i | \(0.888576\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − 420.523i | − 0.478411i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 237.850 | 0.269977 | 0.134989 | − | 0.990847i | \(-0.456900\pi\) | ||||
0.134989 | + | 0.990847i | \(0.456900\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1.30294 | 0.00147559 | 0.000737794 | − | 1.00000i | \(-0.499765\pi\) | ||||
0.000737794 | 1.00000i | \(0.499765\pi\) | ||||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 91.6718i | 0.103584i | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 536.353i | 0.604682i | 0.953200 | + | 0.302341i | \(0.0977682\pi\) | ||||
−0.953200 | + | 0.302341i | \(0.902232\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1044.30 | 1.17469 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −750.855 | −0.842710 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 812.433i | 0.909780i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − 501.634i | − 0.560485i | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 11.0557 | 0.0123252 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −90.7773 | −0.100976 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 788.932i | 0.875618i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 275.276i | 0.304846i | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 192.800 | 0.213039 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 332.159 | 0.366217 | 0.183108 | − | 0.983093i | \(-0.441384\pi\) | ||||
0.183108 | + | 0.983093i | \(0.441384\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 222.604i | 0.244889i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − 1450.06i | − 1.59172i | −0.605478 | − | 0.795862i | \(-0.707018\pi\) | ||||
0.605478 | − | 0.795862i | \(-0.292982\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1518.15 | 1.66282 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −473.882 | −0.517904 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − 40.8514i | − 0.0445490i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − 814.405i | − 0.886186i | −0.896476 | − | 0.443093i | \(-0.853881\pi\) | ||||
0.896476 | − | 0.443093i | \(-0.146119\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 669.017 | 0.726403 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 684.437 | 0.741535 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − 91.8034i | − 0.0992469i | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 478.353i | 0.516023i | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 400.039 | 0.430612 | 0.215306 | − | 0.976547i | \(-0.430925\pi\) | ||||
0.215306 | + | 0.976547i | \(0.430925\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 325.043 | 0.349134 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | − 663.489i | − 0.711135i | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 529.524i | 0.566335i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −249.279 | −0.266039 | −0.133020 | − | 0.991113i | \(-0.542467\pi\) | ||||
−0.133020 | + | 0.991113i | \(0.542467\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 1334.39 | 1.42107 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 724.229i | 0.769638i | 0.922992 | + | 0.384819i | \(0.125736\pi\) | ||||
−0.922992 | + | 0.384819i | \(0.874264\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 8.09432i | 0.00858358i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 344.721 | 0.364785 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 1141.54 | 1.20542 | 0.602712 | − | 0.797959i | \(-0.294087\pi\) | ||||
0.602712 | + | 0.797959i | \(0.294087\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − 47.0557i | − 0.0495845i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 378.865i | 0.398386i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1295.33 | −1.35921 | −0.679604 | − | 0.733579i | \(-0.737848\pi\) | ||||
−0.679604 | + | 0.733579i | \(0.737848\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 69.3623 | 0.0726307 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | − 512.551i | − 0.535581i | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | − 4.37837i | − 0.00456556i | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 892.201 | 0.928409 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 178.232 | 0.185080 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 246.466i | 0.255405i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 398.477i | 0.412075i | 0.978544 | + | 0.206037i | \(0.0660569\pi\) | ||||
−0.978544 | + | 0.206037i | \(0.933943\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 425.337 | 0.438945 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −928.093 | −0.955811 | −0.477906 | − | 0.878411i | \(-0.658604\pi\) | ||||
−0.477906 | + | 0.878411i | \(0.658604\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − 1249.44i | − 1.28411i | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 99.5959i | 0.102150i | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1378.05 | −1.41049 | −0.705247 | − | 0.708962i | \(-0.749164\pi\) | ||||
−0.705247 | + | 0.708962i | \(0.749164\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2219.85 | 2.26747 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − 463.423i | − 0.472398i | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | − 311.291i | − 0.316675i | −0.987385 | − | 0.158337i | \(-0.949387\pi\) | ||||
0.987385 | − | 0.158337i | \(-0.0506134\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −385.777 | −0.391652 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −659.939 | −0.668631 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 12.3607i | 0.0124982i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 961.147i | 0.969876i | 0.874549 | + | 0.484938i | \(0.161158\pi\) | ||||
−0.874549 | + | 0.484938i | \(0.838842\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 780.498 | 0.786000 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −608.676 | −0.611735 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1089.68i | 1.09296i | 0.837473 | + | 0.546479i | \(0.184032\pi\) | ||||
−0.837473 | + | 0.546479i | \(0.815968\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | − 538.404i | − 0.538943i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))