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 | 1151.4 | ||
Root | \(0.587785 + 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1280.1151 |
Dual form | 1280.3.g.e.1151.3 |
$q$-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 | \(-0.628167\pi\) | ||||
−0.391857 | + | 0.920026i | \(0.628167\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.23607i | 0.447214i | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − 5.25731i | − 0.751044i | −0.926813 | − | 0.375522i | \(-0.877463\pi\) | ||||
0.926813 | − | 0.375522i | \(-0.122537\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −3.47214 | −0.385793 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −19.9192 | −1.81084 | −0.905418 | − | 0.424522i | \(-0.860442\pi\) | ||||
−0.905418 | + | 0.424522i | \(0.860442\pi\) | |||||||
\(12\) | 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 | \(-0.631144\pi\) | ||||
−0.400445 | + | 0.916321i | \(0.631144\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 12.3607i | 0.588604i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − 0.555029i | − 0.0241317i | −0.999927 | − | 0.0120659i | \(-0.996159\pi\) | ||||
0.999927 | − | 0.0120659i | \(-0.00384077\pi\) | |||||||
\(24\) | 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 | \(0.0427123\pi\) | ||||
−0.991011 | + | 0.133782i | \(0.957288\pi\) | |||||||
\(32\) | 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 | \(-0.583379\pi\) | ||||
−0.258957 | + | 0.965889i | \(0.583379\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | − 7.76393i | − 0.172532i | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − 53.3902i | − 1.13596i | −0.823042 | − | 0.567981i | \(-0.807725\pi\) | ||||
0.823042 | − | 0.567981i | \(-0.192275\pi\) | |||||||
\(48\) | 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 | \(-0.547210\pi\) | ||||
−0.147771 | + | 0.989022i | \(0.547210\pi\) | |||||||
\(60\) | 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 | \(-0.377715\pi\) | ||||
0.374791 | + | 0.927109i | \(0.377715\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.30495i | 0.0189123i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − 80.7868i | − 1.13784i | −0.822392 | − | 0.568921i | \(-0.807361\pi\) | ||||
0.822392 | − | 0.568921i | \(-0.192639\pi\) | |||||||
\(72\) | 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 | \(0.0279278\pi\) | ||||
−0.996154 | + | 0.0876253i | \(0.972072\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −37.6950 | −0.465371 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −76.2155 | −0.918260 | −0.459130 | − | 0.888369i | \(-0.651839\pi\) | ||||
−0.459130 | + | 0.888369i | \(0.651839\pi\) | |||||||
\(84\) | 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 | \(0.233184\pi\) | ||||
−0.743458 | + | 0.668783i | \(0.766816\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −27.6393 | −0.263232 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 51.3320 | 0.479739 | 0.239869 | − | 0.970805i | \(-0.422895\pi\) | ||||
0.239869 | + | 0.970805i | \(0.422895\pi\) | |||||||
\(108\) | 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 | \(0.285818\pi\) | ||||
−0.623235 | + | 0.782035i | \(0.714182\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 52.3607 | 0.405897 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.77041 | 0.0593161 | 0.0296580 | − | 0.999560i | \(-0.490558\pi\) | ||||
0.0296580 | + | 0.999560i | \(0.490558\pi\) | |||||||
\(132\) | 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 | \(-0.173627\pi\) | ||||
0.854885 | + | 0.518817i | \(0.173627\pi\) | |||||||
\(140\) | 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 | \(0.385654\pi\) | ||||
−0.351552 | + | 0.936168i | \(0.614346\pi\) | |||||||
\(152\) | 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 | \(-0.393308\pi\) | ||||
0.328943 | + | 0.944350i | \(0.393308\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 104.721i | 0.634675i | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 33.2090i | 0.198856i | 0.995045 | + | 0.0994280i | \(0.0317013\pi\) | ||||
−0.995045 | + | 0.0994280i | \(0.968299\pi\) | |||||||
\(168\) | 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 | \(-0.284429\pi\) | ||||
0.626641 | + | 0.779308i | \(0.284429\pi\) | |||||||
\(180\) | 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 | \(0.0258764\pi\) | ||||
−0.996698 | + | 0.0812036i | \(0.974124\pi\) | |||||||
\(192\) | 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 | \(-0.760265\pi\) | ||||
0.729538 | − | 0.683940i | \(-0.239735\pi\) | |||||||
\(200\) | 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 | \(-0.661695\pi\) | ||||
−0.486413 | + | 0.873729i | \(0.661695\pi\) | |||||||
\(212\) | 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 | \(-0.822738\pi\) | ||||
0.848905 | − | 0.528545i | \(-0.177262\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 17.3607 | 0.0771586 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −58.5165 | −0.257782 | −0.128891 | − | 0.991659i | \(-0.541142\pi\) | ||||
−0.128891 | + | 0.991659i | \(0.541142\pi\) | |||||||
\(228\) | 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 | \(-0.835015\pi\) | ||||
0.868654 | − | 0.495419i | \(-0.164985\pi\) | |||||||
\(240\) | 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 | \(-0.412219\pi\) | ||||
0.272291 | + | 0.962215i | \(0.412219\pi\) | |||||||
\(252\) | 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 | \(0.281042\pi\) | ||||
−0.634899 | + | 0.772596i | \(0.718958\pi\) | |||||||
\(264\) | 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 | \(0.151178\pi\) | ||||
−0.889320 | + | 0.457286i | \(0.848822\pi\) | |||||||
\(272\) | 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 | \(-0.416175\pi\) | ||||
0.260310 | + | 0.965525i | \(0.416175\pi\) | |||||||
\(284\) | 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 | \(-0.653384\pi\) | ||||
−0.463436 | + | 0.886130i | \(0.653384\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − 323.915i | − 1.04827i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 282.199i | 0.907392i | 0.891157 | + | 0.453696i | \(0.149895\pi\) | ||||
−0.891157 | + | 0.453696i | \(0.850105\pi\) | |||||||
\(312\) | 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 | \(-0.667203\pi\) | ||||
−0.501459 | + | 0.865181i | \(0.667203\pi\) | |||||||
\(332\) | 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 | \(-0.241890\pi\) | ||||
0.724892 | + | 0.688863i | \(0.241890\pi\) | |||||||
\(348\) | 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 | \(0.0437997\pi\) | ||||
−0.990548 | + | 0.137167i | \(0.956200\pi\) | |||||||
\(360\) | 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 | \(-0.762362\pi\) | ||||
0.734029 | − | 0.679118i | \(-0.237638\pi\) | |||||||
\(368\) | 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 | \(-0.631123\pi\) | ||||
−0.400383 | + | 0.916348i | \(0.631123\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − 467.023i | − 1.22578i | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 332.583i | 0.868362i | 0.900826 | + | 0.434181i | \(0.142962\pi\) | ||||
−0.900826 | + | 0.434181i | \(0.857038\pi\) | |||||||
\(384\) | 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 | \(-0.688045\pi\) | ||||
−0.556992 | + | 0.830518i | \(0.688045\pi\) | |||||||
\(420\) | 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 | \(0.180765\pi\) | ||||
−0.843038 | + | 0.537853i | \(0.819235\pi\) | |||||||
\(432\) | 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 | \(0.140101\pi\) | ||||
−0.904692 | + | 0.426066i | \(0.859899\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −74.1672 | −0.168180 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 290.100 | 0.654854 | 0.327427 | − | 0.944877i | \(-0.393818\pi\) | ||||
0.327427 | + | 0.944877i | \(0.393818\pi\) | |||||||
\(444\) | 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 | \(-0.857725\pi\) | ||||
0.901761 | − | 0.432234i | \(-0.142275\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 43.6068 | 0.0937781 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 913.145 | 1.95534 | 0.977672 | − | 0.210139i | \(-0.0673915\pi\) | ||||
0.977672 | + | 0.210139i | \(0.0673915\pi\) | |||||||
\(468\) | 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 | \(0.185067\pi\) | ||||
−0.835692 | + | 0.549198i | \(0.814933\pi\) | |||||||
\(480\) | 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 | \(0.150497\pi\) | ||||
−0.890297 | + | 0.455381i | \(0.849503\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −252.125 | −0.515594 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 287.163 | 0.584854 | 0.292427 | − | 0.956288i | \(-0.405537\pi\) | ||||
0.292427 | + | 0.956288i | \(0.405537\pi\) | |||||||
\(492\) | 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 | \(-0.198073\pi\) | ||||
0.812561 | + | 0.582876i | \(0.198073\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | − 78.0789i | − 0.155846i | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 642.471i | 1.27728i | 0.769506 | + | 0.638639i | \(0.220502\pi\) | ||||
−0.769506 | + | 0.638639i | \(0.779498\pi\) | |||||||
\(504\) | 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 | \(-0.234765\pi\) | ||||
0.740127 | + | 0.672467i | \(0.234765\pi\) | |||||||
\(524\) | 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 | \(-0.543728\pi\) | ||||
−0.136945 | + | 0.990579i | \(0.543728\pi\) | |||||||
\(548\) | 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 | \(-0.356461\pi\) | ||||
0.435814 | + | 0.900037i | \(0.356461\pi\) | |||||||
\(564\) | 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 | \(-0.440918\pi\) | ||||
0.184549 | + | 0.982823i | \(0.440918\pi\) | |||||||
\(572\) | 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 | \(-0.676592\pi\) | ||||
−0.526756 | + | 0.850016i | \(0.676592\pi\) | |||||||
\(588\) | 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 | \(-0.748941\pi\) | ||||
0.704751 | − | 0.709455i | \(-0.251059\pi\) | |||||||
\(600\) | 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 | \(0.370639\pi\) | ||||
−0.395305 | + | 0.918550i | \(0.629361\pi\) | |||||||
\(608\) | 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 | \(-0.619799\pi\) | ||||
−0.367537 | + | 0.930009i | \(0.619799\pi\) | |||||||
\(620\) | 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 | \(0.0680395\pi\) | ||||
−0.977242 | + | 0.212128i | \(0.931960\pi\) | |||||||
\(632\) | 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 | \(-0.389020\pi\) | ||||
0.341633 | + | 0.939834i | \(0.389020\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 117.082i | 0.181523i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 419.644i | 0.648600i | 0.945954 | + | 0.324300i | \(0.105129\pi\) | ||||
−0.945954 | + | 0.324300i | \(0.894871\pi\) | |||||||
\(648\) | 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 | \(-0.578766\pi\) | ||||
−0.244934 | + | 0.969540i | \(0.578766\pi\) | |||||||
\(660\) | 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 | \(-0.505585\pi\) | ||||
−0.0175449 | + | 0.999846i | \(0.505585\pi\) | |||||||
\(684\) | 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 | \(-0.543199\pi\) | ||||
−0.135298 | + | 0.990805i | \(0.543199\pi\) | |||||||
\(692\) | 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 | \(-0.965381\pi\) | ||||
0.994092 | − | 0.108543i | \(-0.0346186\pi\) | |||||||
\(720\) | 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 | \(-0.836317\pi\) | ||||
0.870675 | − | 0.491859i | \(-0.163683\pi\) | |||||||
\(728\) | 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 | \(-0.498157\pi\) | ||||
0.00578928 | + | 0.999983i | \(0.498157\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − 303.108i | − 0.409053i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − 1010.56i | − 1.36011i | −0.733163 | − | 0.680053i | \(-0.761957\pi\) | ||||
0.733163 | − | 0.680053i | \(-0.238043\pi\) | |||||||
\(744\) | 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 | \(0.262925\pi\) | ||||
−0.677820 | + | 0.735228i | \(0.737075\pi\) | |||||||
\(752\) | 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 | \(-0.321138\pi\) | ||||
0.532804 | + | 0.846239i | \(0.321138\pi\) | |||||||
\(788\) | 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 | \(-0.590348\pi\) | ||||
−0.280040 | + | 0.959988i | \(0.590348\pi\) | |||||||
\(812\) | 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 | \(0.157178\pi\) | ||||
−0.880543 | + | 0.473966i | \(0.842822\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −234.164 | −0.283835 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −209.175 | −0.252932 | −0.126466 | − | 0.991971i | \(-0.540364\pi\) | ||||
−0.126466 | + | 0.991971i | \(0.540364\pi\) | |||||||
\(828\) | 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 | \(-0.947784\pi\) | ||||
0.986575 | − | 0.163306i | \(-0.0522159\pi\) | |||||||
\(840\) | 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 | \(-0.485801\pi\) | ||||
0.0445917 | + | 0.999005i | \(0.485801\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 180.263i | 0.209365i | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 255.450i | 0.296002i | 0.988987 | + | 0.148001i | \(0.0472839\pi\) | ||||
−0.988987 | + | 0.148001i | \(0.952716\pi\) | |||||||
\(864\) | 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 | \(-0.500235\pi\) | ||||
−0.000737794 | 1.00000i | \(0.500235\pi\) | ||||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 91.6718i | 0.103584i | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | − 536.353i | − 0.604682i | −0.953200 | − | 0.302341i | \(-0.902232\pi\) | ||||
0.953200 | − | 0.302341i | \(-0.0977682\pi\) | |||||||
\(888\) | 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 | \(-0.558616\pi\) | ||||
−0.183108 | + | 0.983093i | \(0.558616\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 222.604i | 0.244889i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1450.06i | 1.59172i | 0.605478 | + | 0.795862i | \(0.292982\pi\) | ||||
−0.605478 | + | 0.795862i | \(0.707018\pi\) | |||||||
\(912\) | 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 | \(0.146119\pi\) | ||||
−0.896476 | + | 0.443093i | \(0.853881\pi\) | |||||||
\(920\) | 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 | \(-0.705913\pi\) | ||||
−0.602712 | + | 0.797959i | \(0.705913\pi\) | |||||||
\(948\) | 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 | \(-0.933943\pi\) | ||||
0.978544 | − | 0.206037i | \(-0.0660569\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 425.337 | 0.438945 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 928.093 | 0.955811 | 0.477906 | − | 0.878411i | \(-0.341396\pi\) | ||||
0.477906 | + | 0.878411i | \(0.341396\pi\) | |||||||
\(972\) | 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 | \(0.0506134\pi\) | ||||
−0.987385 | + | 0.158337i | \(0.949387\pi\) | |||||||
\(984\) | 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 | \(-0.838842\pi\) | ||||
0.874549 | − | 0.484938i | \(-0.161158\pi\) | |||||||
\(992\) | 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 \(a_p\))