Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,3,Mod(116,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.116");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.f (of order \(18\), degree \(6\), 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: | \(9.83653754341\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{U}(1)[D_{18}]$ |
Embedding invariants
Embedding label | 307.1 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.307 |
Dual form | 361.3.f.a.127.1 |
$q$-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 \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
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 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(3\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(4\) | 0.694593 | + | 3.93923i | 0.173648 | + | 0.984808i | ||||
\(5\) | −1.56283 | + | 8.86327i | −0.312567 | + | 1.77265i | 0.272984 | + | 0.962018i | \(0.411989\pi\) |
−0.585551 | + | 0.810635i | \(0.699122\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.50000 | + | 4.33013i | 0.357143 | + | 0.618590i | 0.987482 | − | 0.157730i | \(-0.0504176\pi\) |
−0.630339 | + | 0.776320i | \(0.717084\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 6.89440 | − | 5.78509i | 0.766044 | − | 0.642788i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.50000 | + | 2.59808i | −0.136364 | + | 0.236189i | −0.926118 | − | 0.377235i | \(-0.876875\pi\) |
0.789754 | + | 0.613424i | \(0.210208\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −15.0351 | + | 5.47232i | −0.939693 | + | 0.342020i | ||||
\(17\) | 11.4907 | + | 9.64181i | 0.675922 | + | 0.567166i | 0.914811 | − | 0.403881i | \(-0.132339\pi\) |
−0.238890 | + | 0.971047i | \(0.576784\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −36.0000 | −1.80000 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −5.20945 | − | 29.5442i | −0.226498 | − | 1.28453i | −0.859801 | − | 0.510629i | \(-0.829413\pi\) |
0.633304 | − | 0.773903i | \(-0.281698\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −52.6228 | − | 19.1531i | −2.10491 | − | 0.766125i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −15.3209 | + | 12.8558i | −0.547175 | + | 0.459134i | ||||
\(29\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −42.2862 | + | 15.3909i | −1.20818 | + | 0.439740i | ||||
\(36\) | 27.5776 | + | 23.1404i | 0.766044 | + | 0.642788i | ||||
\(37\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −14.7601 | + | 83.7087i | −0.343258 | + | 1.94671i | −0.0218844 | + | 0.999761i | \(0.506967\pi\) |
−0.321374 | + | 0.946952i | \(0.604145\pi\) | |||||||
\(44\) | −11.2763 | − | 4.10424i | −0.256280 | − | 0.0932782i | ||||
\(45\) | 40.5000 | + | 70.1481i | 0.900000 | + | 1.55885i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 57.4533 | − | 48.2091i | 1.22241 | − | 1.02572i | 0.223716 | − | 0.974654i | \(-0.428181\pi\) |
0.998695 | − | 0.0510706i | \(-0.0162634\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 12.0000 | − | 20.7846i | 0.244898 | − | 0.424176i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −20.6832 | − | 17.3553i | −0.376058 | − | 0.315550i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 17.8858 | + | 101.435i | 0.293209 | + | 1.66287i | 0.674393 | + | 0.738373i | \(0.264405\pi\) |
−0.381184 | + | 0.924499i | \(0.624483\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 42.2862 | + | 15.3909i | 0.671209 | + | 0.244300i | ||||
\(64\) | −32.0000 | − | 55.4256i | −0.500000 | − | 0.866025i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(68\) | −30.0000 | + | 51.9615i | −0.441176 | + | 0.764140i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 23.4923 | − | 8.55050i | 0.321813 | − | 0.117130i | −0.176062 | − | 0.984379i | \(-0.556336\pi\) |
0.497875 | + | 0.867249i | \(0.334114\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −15.0000 | −0.194805 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(80\) | −25.0053 | − | 141.812i | −0.312567 | − | 1.77265i | ||||
\(81\) | 14.0655 | − | 79.7694i | 0.173648 | − | 0.984808i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −45.0000 | − | 77.9423i | −0.542169 | − | 0.939064i | −0.998779 | − | 0.0493970i | \(-0.984270\pi\) |
0.456611 | − | 0.889667i | \(-0.349063\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −103.416 | + | 86.7763i | −1.21666 | + | 1.02090i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 112.763 | − | 41.0424i | 1.22569 | − | 0.446113i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 4.68850 | + | 26.5898i | 0.0473586 | + | 0.268584i | ||||
\(100\) | 38.8972 | − | 220.597i | 0.388972 | − | 2.20597i | ||||
\(101\) | 95.8486 | + | 34.8861i | 0.948997 | + | 0.345406i | 0.769712 | − | 0.638391i | \(-0.220400\pi\) |
0.179284 | + | 0.983797i | \(0.442622\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −61.2836 | − | 51.4230i | −0.547175 | − | 0.459134i | ||||
\(113\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 270.000 | 2.34783 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −13.0236 | + | 73.8606i | −0.109442 | + | 0.620677i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 56.0000 | + | 96.9948i | 0.462810 | + | 0.801610i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 139.500 | − | 241.621i | 1.11600 | − | 1.93297i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −163.167 | − | 136.914i | −1.24555 | − | 1.04514i | −0.997069 | − | 0.0765073i | \(-0.975623\pi\) |
−0.248484 | − | 0.968636i | \(-0.579932\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 44.2803 | + | 251.126i | 0.323214 | + | 1.83304i | 0.521941 | + | 0.852982i | \(0.325208\pi\) |
−0.198727 | + | 0.980055i | \(0.563681\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 185.119 | + | 67.3780i | 1.33179 | + | 0.484734i | 0.907219 | − | 0.420659i | \(-0.138201\pi\) |
0.424576 | + | 0.905392i | \(0.360423\pi\) | |||||||
\(140\) | −90.0000 | − | 155.885i | −0.642857 | − | 1.11346i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −72.0000 | + | 124.708i | −0.500000 | + | 0.866025i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 166.326 | − | 60.5376i | 1.11628 | − | 0.406292i | 0.282986 | − | 0.959124i | \(-0.408675\pi\) |
0.833293 | + | 0.552832i | \(0.186453\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 135.000 | 0.882353 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.73648 | − | 9.84808i | 0.0110604 | − | 0.0627266i | −0.978778 | − | 0.204923i | \(-0.934305\pi\) |
0.989838 | + | 0.142197i | \(0.0454166\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 114.907 | − | 96.4181i | 0.713706 | − | 0.598870i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −125.000 | + | 216.506i | −0.766871 | + | 1.32826i | 0.172380 | + | 0.985030i | \(0.444854\pi\) |
−0.939252 | + | 0.343229i | \(0.888479\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 129.462 | + | 108.631i | 0.766044 | + | 0.642788i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −340.000 | −1.97674 | ||||||||
\(173\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −48.6215 | − | 275.746i | −0.277837 | − | 1.57569i | ||||
\(176\) | 8.33511 | − | 47.2708i | 0.0473586 | − | 0.268584i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(180\) | −248.198 | + | 208.263i | −1.37888 | + | 1.15702i | ||||
\(181\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −42.2862 | + | 15.3909i | −0.226129 | + | 0.0823043i | ||||
\(188\) | 229.813 | + | 192.836i | 1.22241 | + | 1.02572i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −93.0000 | −0.486911 | −0.243455 | − | 0.969912i | \(-0.578281\pi\) | ||||
−0.243455 | + | 0.969912i | \(0.578281\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 90.2105 | + | 32.8339i | 0.460258 | + | 0.167520i | ||||
\(197\) | −45.0000 | − | 77.9423i | −0.228426 | − | 0.395646i | 0.728916 | − | 0.684604i | \(-0.240025\pi\) |
−0.957342 | + | 0.288958i | \(0.906691\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 173.892 | − | 145.913i | 0.873830 | − | 0.733230i | −0.0910713 | − | 0.995844i | \(-0.529029\pi\) |
0.964901 | + | 0.262614i | \(0.0845847\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −206.832 | − | 173.553i | −0.999188 | − | 0.838419i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −718.865 | − | 261.645i | −3.34356 | − | 1.21696i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 54.0000 | − | 93.5307i | 0.245455 | − | 0.425140i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −473.605 | + | 172.378i | −2.10491 | + | 0.766125i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.0000 | −0.0742358 | −0.0371179 | − | 0.999311i | \(-0.511818\pi\) | ||||
−0.0371179 | + | 0.999311i | \(0.511818\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −80.7464 | + | 457.936i | −0.346551 | + | 1.96539i | −0.108793 | + | 0.994064i | \(0.534699\pi\) |
−0.237758 | + | 0.971324i | \(0.576412\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 337.500 | + | 584.567i | 1.43617 | + | 2.48752i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 226.500 | − | 392.310i | 0.947699 | − | 1.64146i | 0.197443 | − | 0.980314i | \(-0.436736\pi\) |
0.750255 | − | 0.661148i | \(-0.229930\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −387.153 | + | 140.912i | −1.58669 | + | 0.577509i | ||||
\(245\) | 165.466 | + | 138.842i | 0.675370 | + | 0.566703i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.68850 | + | 26.5898i | 0.0186793 | + | 0.105935i | 0.992722 | − | 0.120429i | \(-0.0384270\pi\) |
−0.974043 | + | 0.226365i | \(0.927316\pi\) | |||||||
\(252\) | −31.2567 | + | 177.265i | −0.124034 | + | 0.703434i | ||||
\(253\) | 84.5723 | + | 30.7818i | 0.334278 | + | 0.121667i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 196.107 | − | 164.554i | 0.766044 | − | 0.642788i | ||||
\(257\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 380.576 | − | 138.518i | 1.44706 | − | 0.526685i | 0.505288 | − | 0.862951i | \(-0.331386\pi\) |
0.941767 | + | 0.336266i | \(0.109164\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −24.6580 | + | 139.843i | −0.0909891 | + | 0.516025i | 0.904914 | + | 0.425595i | \(0.139935\pi\) |
−0.995903 | + | 0.0904297i | \(0.971176\pi\) | |||||||
\(272\) | −225.526 | − | 82.0848i | −0.829141 | − | 0.301782i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 128.695 | − | 107.988i | 0.467984 | − | 0.392685i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −267.500 | + | 463.324i | −0.965704 | + | 1.67265i | −0.257992 | + | 0.966147i | \(0.583061\pi\) |
−0.707712 | + | 0.706501i | \(0.750272\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 302.588 | + | 253.901i | 1.06921 | + | 0.897177i | 0.994981 | − | 0.100064i | \(-0.0319047\pi\) |
0.0742330 | + | 0.997241i | \(0.476349\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.1135 | − | 63.0277i | −0.0384550 | − | 0.218089i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 50.0000 | + | 86.6025i | 0.171233 | + | 0.296584i | ||||
\(293\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −399.369 | + | 145.359i | −1.32681 | + | 0.482919i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −927.000 | −3.03934 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(308\) | −10.4189 | − | 59.0885i | −0.0338276 | − | 0.191846i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −301.500 | − | 522.213i | −0.969453 | − | 1.67914i | −0.697142 | − | 0.716933i | \(-0.745545\pi\) |
−0.272312 | − | 0.962209i | \(-0.587788\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −451.966 | + | 379.245i | −1.44398 | + | 1.21164i | −0.507153 | + | 0.861856i | \(0.669302\pi\) |
−0.936829 | + | 0.349788i | \(0.886254\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −202.500 | + | 350.740i | −0.642857 | + | 1.11346i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 541.263 | − | 197.004i | 1.69145 | − | 0.615636i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 324.000 | 1.00000 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 352.385 | + | 128.258i | 1.07108 | + | 0.389841i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(332\) | 275.776 | − | 231.404i | 0.830651 | − | 0.696999i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −413.664 | − | 347.105i | −1.21666 | − | 1.02090i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 365.000 | 1.06414 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 117.213 | − | 664.745i | 0.337788 | − | 1.91569i | −0.0599662 | − | 0.998200i | \(-0.519099\pi\) |
0.397754 | − | 0.917492i | \(-0.369790\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −263.500 | − | 456.395i | −0.755014 | − | 1.30772i | −0.945367 | − | 0.326007i | \(-0.894297\pi\) |
0.190353 | − | 0.981716i | \(-0.439037\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 255.000 | − | 441.673i | 0.722380 | − | 1.25120i | −0.237664 | − | 0.971347i | \(-0.576382\pi\) |
0.960044 | − | 0.279851i | \(-0.0902850\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 186.149 | + | 156.197i | 0.518520 | + | 0.435090i | 0.864116 | − | 0.503293i | \(-0.167879\pi\) |
−0.345595 | + | 0.938384i | \(0.612323\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 39.0708 | + | 221.582i | 0.107043 | + | 0.607073i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −46.9846 | − | 17.1010i | −0.128024 | − | 0.0465967i | 0.277214 | − | 0.960808i | \(-0.410589\pi\) |
−0.405237 | + | 0.914211i | \(0.632811\pi\) | |||||||
\(368\) | 240.000 | + | 415.692i | 0.652174 | + | 1.12960i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 23.4425 | − | 132.949i | 0.0608896 | − | 0.345322i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 382.500 | + | 662.509i | 0.988372 | + | 1.71191i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −117.205 | + | 98.3465i | −0.301298 | + | 0.252819i | −0.780884 | − | 0.624676i | \(-0.785231\pi\) |
0.479586 | + | 0.877495i | \(0.340787\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 225.000 | − | 389.711i | 0.575448 | − | 0.996704i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −101.487 | + | 36.9382i | −0.256280 | + | 0.0932782i | ||||
\(397\) | −570.703 | − | 478.877i | −1.43754 | − | 1.20624i | −0.941082 | − | 0.338177i | \(-0.890190\pi\) |
−0.496457 | − | 0.868061i | \(-0.665366\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 896.000 | 2.24000 | ||||||||
\(401\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −70.8485 | + | 401.802i | −0.175367 | + | 0.994558i | ||||
\(405\) | 685.036 | + | 249.333i | 1.69145 | + | 0.615636i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 761.151 | − | 277.036i | 1.83410 | − | 0.667557i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 762.000 | 1.81862 | 0.909308 | − | 0.416124i | \(-0.136612\pi\) | ||||
0.909308 | + | 0.416124i | \(0.136612\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 117.213 | − | 664.745i | 0.277098 | − | 1.57150i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −420.000 | − | 727.461i | −0.988235 | − | 1.71167i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −394.513 | + | 331.036i | −0.923918 | + | 0.775259i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −37.5080 | − | 212.718i | −0.0850522 | − | 0.482355i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 42.2862 | + | 15.3909i | 0.0954541 | + | 0.0347425i | 0.389306 | − | 0.921109i | \(-0.372715\pi\) |
−0.293852 | + | 0.955851i | \(0.594937\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 160.000 | − | 277.128i | 0.357143 | − | 0.618590i | ||||
\(449\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −625.000 | −1.36761 | −0.683807 | − | 0.729663i | \(-0.739677\pi\) | ||||
−0.683807 | + | 0.729663i | \(0.739677\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 187.540 | + | 1063.59i | 0.407696 | + | 2.31216i | ||||
\(461\) | 77.6207 | − | 440.209i | 0.168375 | − | 0.954900i | −0.777142 | − | 0.629326i | \(-0.783331\pi\) |
0.945516 | − | 0.325575i | \(-0.105558\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −377.500 | − | 653.849i | −0.815335 | − | 1.41220i | −0.909087 | − | 0.416606i | \(-0.863220\pi\) |
0.0937525 | − | 0.995596i | \(-0.470114\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −457.500 | + | 792.413i | −0.979657 | + | 1.69682i | −0.316037 | + | 0.948747i | \(0.602352\pi\) |
−0.663620 | + | 0.748070i | \(0.730981\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −195.341 | − | 163.911i | −0.412984 | − | 0.346535i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −300.000 | −0.630252 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −163.577 | − | 927.689i | −0.341496 | − | 1.93672i | −0.349983 | − | 0.936756i | \(-0.613813\pi\) |
0.00848697 | − | 0.999964i | \(-0.497298\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −343.188 | + | 287.969i | −0.709066 | + | 0.594977i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 862.638 | − | 313.974i | 1.75690 | − | 0.639459i | 0.756997 | − | 0.653418i | \(-0.226666\pi\) |
0.999903 | + | 0.0139588i | \(0.00444336\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −243.000 | −0.490909 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 90.8180 | − | 515.054i | 0.182000 | − | 1.03217i | −0.747750 | − | 0.663981i | \(-0.768866\pi\) |
0.929750 | − | 0.368192i | \(-0.120023\pi\) | |||||||
\(500\) | 1048.70 | + | 381.694i | 2.09739 | + | 0.763389i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 712.421 | − | 597.792i | 1.41634 | − | 1.18845i | 0.463080 | − | 0.886316i | \(-0.346744\pi\) |
0.953264 | − | 0.302138i | \(-0.0977003\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −459.000 | + | 795.011i | −0.908911 | + | 1.57428i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 95.7556 | + | 80.3485i | 0.187389 | + | 0.157238i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 39.0708 | + | 221.582i | 0.0755722 | + | 0.428591i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(524\) | 426.000 | − | 737.854i | 0.812977 | − | 1.40812i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −348.626 | + | 126.889i | −0.659028 | + | 0.239867i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 36.0000 | + | 62.3538i | 0.0667904 | + | 0.115684i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −350.082 | + | 293.754i | −0.647102 | + | 0.542983i | −0.906190 | − | 0.422871i | \(-0.861023\pi\) |
0.259088 | + | 0.965854i | \(0.416578\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(548\) | −958.486 | + | 348.861i | −1.74906 | + | 0.636607i | ||||
\(549\) | 710.123 | + | 595.864i | 1.29348 | + | 1.08536i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −136.835 | + | 776.029i | −0.246106 | + | 1.39573i | ||||
\(557\) | −1028.96 | − | 374.512i | −1.84733 | − | 0.672374i | −0.986564 | − | 0.163374i | \(-0.947762\pi\) |
−0.860767 | − | 0.508999i | \(-0.830016\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 551.552 | − | 462.807i | 0.984914 | − | 0.826441i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 380.576 | − | 138.518i | 0.671209 | − | 0.244300i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 458.000 | 0.802102 | 0.401051 | − | 0.916056i | \(-0.368645\pi\) | ||||
0.401051 | + | 0.916056i | \(0.368645\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −291.729 | + | 1654.48i | −0.507355 | + | 2.87735i | ||||
\(576\) | −541.263 | − | 197.004i | −0.939693 | − | 0.342020i | ||||
\(577\) | 572.500 | + | 991.599i | 0.992201 | + | 1.71854i | 0.604049 | + | 0.796947i | \(0.293553\pi\) |
0.388152 | + | 0.921595i | \(0.373113\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 225.000 | − | 389.711i | 0.387263 | − | 0.670760i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −861.800 | − | 723.136i | −1.46814 | − | 1.23192i | −0.917838 | − | 0.396954i | \(-0.870067\pi\) |
−0.550305 | − | 0.834964i | \(-0.685488\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −5.20945 | − | 29.5442i | −0.00878490 | − | 0.0498216i | 0.980100 | − | 0.198503i | \(-0.0636081\pi\) |
−0.988885 | + | 0.148682i | \(0.952497\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −634.293 | − | 230.864i | −1.06604 | − | 0.388006i | ||||
\(596\) | 354.000 | + | 613.146i | 0.593960 | + | 1.02877i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −947.210 | + | 344.756i | −1.56564 | + | 0.569845i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 93.7700 | + | 531.796i | 0.153219 | + | 0.868948i | ||||
\(613\) | 51.2262 | − | 290.518i | 0.0835664 | − | 0.473929i | −0.914090 | − | 0.405511i | \(-0.867094\pi\) |
0.997657 | − | 0.0684181i | \(-0.0217952\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −815.837 | + | 684.569i | −1.32226 | + | 1.10951i | −0.336445 | + | 0.941703i | \(0.609225\pi\) |
−0.985820 | + | 0.167809i | \(0.946331\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 331.000 | − | 573.309i | 0.534733 | − | 0.926185i | −0.464443 | − | 0.885603i | \(-0.653745\pi\) |
0.999176 | − | 0.0405823i | \(-0.0129213\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 851.075 | + | 714.137i | 1.36172 | + | 1.14262i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 40.0000 | 0.0636943 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −180.073 | − | 1021.25i | −0.285377 | − | 1.61846i | −0.703934 | − | 0.710265i | \(-0.748575\pi\) |
0.418557 | − | 0.908191i | \(-0.362536\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1047.76 | + | 381.352i | −1.62948 | + | 0.593083i | −0.985155 | − | 0.171667i | \(-0.945085\pi\) |
−0.644327 | + | 0.764750i | \(0.722863\pi\) | |||||||
\(644\) | 459.627 | + | 385.673i | 0.713706 | + | 0.598870i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1005.00 | −1.55332 | −0.776662 | − | 0.629918i | \(-0.783088\pi\) | ||||
−0.776662 | + | 0.629918i | \(0.783088\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −939.693 | − | 342.020i | −1.44125 | − | 0.524571i | ||||
\(653\) | −187.500 | − | 324.760i | −0.287136 | − | 0.497335i | 0.685989 | − | 0.727612i | \(-0.259370\pi\) |
−0.973125 | + | 0.230278i | \(0.926037\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1468.51 | − | 1232.22i | 2.24200 | − | 1.88126i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 112.500 | − | 194.856i | 0.171233 | − | 0.296584i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −290.365 | − | 105.684i | −0.432735 | − | 0.157503i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −338.000 | + | 585.433i | −0.500000 | + | 0.866025i | ||||
\(677\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2295.00 | −3.35036 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −236.162 | − | 1339.34i | −0.343258 | − | 1.94671i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 78.5000 | + | 135.966i | 0.113603 | + | 0.196767i | 0.917221 | − | 0.398380i | \(-0.130427\pi\) |
−0.803617 | + | 0.595147i | \(0.797094\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −103.416 | + | 86.7763i | −0.149229 | + | 0.125218i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −886.500 | + | 1535.46i | −1.27554 | + | 2.20930i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1052.46 | − | 383.063i | 1.50351 | − | 0.547232i | ||||
\(701\) | 841.117 | + | 705.781i | 1.19988 | + | 1.00682i | 0.999633 | + | 0.0270747i | \(0.00861920\pi\) |
0.200248 | + | 0.979745i | \(0.435825\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 192.000 | 0.272727 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 88.5606 | + | 502.252i | 0.125262 | + | 0.710399i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1238.51 | + | 450.783i | 1.74685 | + | 0.635800i | 0.999587 | − | 0.0287309i | \(-0.00914660\pi\) |
0.747260 | + | 0.664531i | \(0.231369\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −904.924 | + | 329.365i | −1.25859 | + | 0.458088i | −0.883295 | − | 0.468818i | \(-0.844680\pi\) |
−0.375292 | + | 0.926907i | \(0.622458\pi\) | |||||||
\(720\) | −992.794 | − | 833.053i | −1.37888 | − | 1.15702i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.7601 | + | 83.7087i | −0.0203027 | + | 0.115143i | −0.993275 | − | 0.115780i | \(-0.963063\pi\) |
0.972972 | + | 0.230922i | \(0.0741744\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −364.500 | − | 631.333i | −0.500000 | − | 0.866025i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −976.707 | + | 819.554i | −1.33612 | + | 1.12114i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 635.000 | − | 1099.85i | 0.866303 | − | 1.50048i | 0.000555189 | − | 1.00000i | \(-0.499823\pi\) |
0.865748 | − | 0.500481i | \(-0.166843\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 419.026 | + | 351.605i | 0.567018 | + | 0.475785i | 0.880655 | − | 0.473758i | \(-0.157103\pi\) |
−0.313637 | + | 0.949543i | \(0.601547\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 276.622 | + | 1568.80i | 0.371304 | + | 2.10577i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −761.151 | − | 277.036i | −1.01894 | − | 0.370865i | ||||
\(748\) | −90.0000 | − | 155.885i | −0.120321 | − | 0.208402i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(752\) | −600.000 | + | 1039.23i | −0.797872 | + | 1.38196i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 737.659 | − | 268.486i | 0.974450 | − | 0.354671i | 0.194770 | − | 0.980849i | \(-0.437604\pi\) |
0.779680 | + | 0.626178i | \(0.215382\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1503.00 | 1.97503 | 0.987516 | − | 0.157516i | \(-0.0503486\pi\) | ||||
0.987516 | + | 0.157516i | \(0.0503486\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −64.5971 | − | 366.348i | −0.0845512 | − | 0.479514i | ||||
\(765\) | −210.983 | + | 1196.54i | −0.275794 | + | 1.56411i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 814.305 | − | 683.283i | 1.05891 | − | 0.888535i | 0.0649119 | − | 0.997891i | \(-0.479323\pi\) |
0.994003 | + | 0.109356i | \(0.0348789\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −66.6809 | + | 378.166i | −0.0850522 | + | 0.482355i | ||||
\(785\) | 84.5723 | + | 30.7818i | 0.107735 | + | 0.0392125i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(788\) | 275.776 | − | 231.404i | 0.349970 | − | 0.293659i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 695.568 | + | 583.651i | 0.873830 | + | 0.733230i | ||||
\(797\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1125.00 | 1.40801 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −13.0236 | + | 73.8606i | −0.0162187 | + | 0.0919808i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 675.000 | + | 1169.13i | 0.838509 | + | 1.45234i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 796.500 | − | 1379.58i | 0.984549 | − | 1.70529i | 0.340624 | − | 0.940199i | \(-0.389362\pi\) |
0.643924 | − | 0.765089i | \(-0.277305\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1723.60 | − | 1446.27i | −2.11485 | − | 1.77457i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 202.647 | + | 1149.27i | 0.246830 | + | 1.39984i | 0.816204 | + | 0.577764i | \(0.196075\pi\) |
−0.569374 | + | 0.822079i | \(0.692814\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1470.62 | + | 535.262i | 1.78690 | + | 0.650379i | 0.999421 | + | 0.0340380i | \(0.0108367\pi\) |
0.787480 | + | 0.616341i | \(0.211385\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(828\) | 540.000 | − | 935.307i | 0.652174 | − | 1.12960i | ||||
\(829\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 338.289 | − | 123.127i | 0.406110 | − | 0.147812i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 146.038 | − | 828.223i | 0.173648 | − | 0.984808i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1165.15 | + | 977.680i | −1.37888 | + | 1.15702i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −280.000 | + | 484.974i | −0.330579 | + | 0.572579i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −789.026 | − | 662.071i | −0.925001 | − | 0.776168i | 0.0499122 | − | 0.998754i | \(-0.484106\pi\) |
−0.974913 | + | 0.222586i | \(0.928550\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −259.257 | − | 1470.32i | −0.301812 | − | 1.71166i | −0.638143 | − | 0.769918i | \(-0.720297\pi\) |
0.336330 | − | 0.941744i | \(-0.390814\pi\) | |||||||
\(860\) | 531.363 | − | 3013.51i | 0.617864 | − | 3.50408i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 1395.00 | 1.59429 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 405.947 | + | 147.753i | 0.461304 | + | 0.167901i | ||||
\(881\) | 268.500 | + | 465.056i | 0.304767 | + | 0.527872i | 0.977209 | − | 0.212277i | \(-0.0680880\pi\) |
−0.672442 | + | 0.740150i | \(0.734755\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 639.647 | − | 536.728i | 0.724402 | − | 0.607846i | −0.204197 | − | 0.978930i | \(-0.565458\pi\) |
0.928599 | + | 0.371084i | \(0.121014\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 186.149 | + | 156.197i | 0.208921 | + | 0.175306i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −1008.00 | − | 1745.91i | −1.12000 | − | 1.93990i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 862.638 | − | 313.974i | 0.948997 | − | 0.345406i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 270.000 | 0.295728 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −11.8081 | − | 66.9669i | −0.0128909 | − | 0.0731080i | ||||
\(917\) | 184.935 | − | 1048.82i | 0.201674 | − | 1.14375i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −881.000 | − | 1525.94i | −0.958651 | − | 1.66043i | −0.725783 | − | 0.687923i | \(-0.758523\pi\) |
−0.232867 | − | 0.972509i | \(-0.574811\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 491.801 | + | 412.670i | 0.529387 | + | 0.444208i | 0.867890 | − | 0.496757i | \(-0.165476\pi\) |
−0.338503 | + | 0.940965i | \(0.609920\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −1860.00 | −1.99571 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −70.3275 | − | 398.847i | −0.0752166 | − | 0.426574i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −314.797 | − | 114.577i | −0.335963 | − | 0.122280i | 0.168530 | − | 0.985697i | \(-0.446098\pi\) |
−0.504492 | + | 0.863416i | \(0.668320\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2068.32 | + | 1735.53i | −2.20034 | + | 1.84630i | ||||
\(941\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 1719.64 | − | 625.897i | 1.81588 | − | 0.660926i | 0.819781 | − | 0.572678i | \(-0.194095\pi\) |
0.996099 | − | 0.0882482i | \(-0.0281269\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 145.344 | − | 824.284i | 0.152192 | − | 0.863125i | ||||
\(956\) | 1702.72 | + | 619.740i | 1.78109 | + | 0.648264i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −976.707 | + | 819.554i | −1.01846 | + | 0.854592i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −480.500 | + | 832.250i | −0.500000 | + | 0.866025i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1371.22 | − | 1150.59i | −1.41801 | − | 1.18986i | −0.952394 | − | 0.304870i | \(-0.901387\pi\) |
−0.465620 | − | 0.884985i | \(-0.654169\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 171.043 | + | 970.036i | 0.175790 | + | 0.996953i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −824.000 | − | 1427.21i | −0.844262 | − | 1.46231i | ||||
\(977\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −432.000 | + | 748.246i | −0.440816 | + | 0.763516i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 761.151 | − | 277.036i | 0.772742 | − | 0.281255i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2550.00 | 2.57836 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1021.50 | + | 1769.29i | 1.02663 | + | 1.77818i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1512.94 | − | 1269.51i | 1.51749 | − | 1.27333i | 0.670221 | − | 0.742161i | \(-0.266199\pi\) |
0.847269 | − | 0.531164i | \(-0.178245\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))