Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2400,2,Mod(49,2400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2400, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("2400.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 2400 = 2^{5} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2400.d (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: | \(19.1640964851\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.214798336.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} - 2x^{5} + 9x^{4} - 4x^{3} - 16x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | no (minimal twist has level 600) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Root | \(-0.565036 - 1.29643i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2400.49 |
Dual form | 2400.2.d.g.49.8 |
$q$-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 \(\left(\mathbb{Z}/2400\mathbb{Z}\right)^\times\).
\(n\) | \(577\) | \(901\) | \(1601\) | \(1951\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(1\) |
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 | ||||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − 4.72294i | − 1.78510i | −0.450947 | − | 0.892551i | \(-0.648914\pi\) | ||||
0.450947 | − | 0.892551i | \(-0.351086\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.93012i | 1.18498i | 0.805579 | + | 0.592488i | \(0.201854\pi\) | ||||
−0.805579 | + | 0.592488i | \(0.798146\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.46733 | −0.961665 | −0.480833 | − | 0.876812i | \(-0.659666\pi\) | ||||
−0.480833 | + | 0.876812i | \(0.659666\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.51575i | 0.852694i | 0.904560 | + | 0.426347i | \(0.140200\pi\) | ||||
−0.904560 | + | 0.426347i | \(0.859800\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − 5.44133i | − 1.24833i | −0.781294 | − | 0.624163i | \(-0.785440\pi\) | ||||
0.781294 | − | 0.624163i | \(-0.214560\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.72294i | 1.03063i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − 7.11585i | − 1.48376i | −0.670534 | − | 0.741878i | \(-0.733935\pi\) | ||||
0.670534 | − | 0.741878i | \(-0.266065\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.66998i | 0.681498i | 0.940154 | + | 0.340749i | \(0.110681\pi\) | ||||
−0.940154 | + | 0.340749i | \(0.889319\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.23414 | −0.940079 | −0.470039 | − | 0.882645i | \(-0.655760\pi\) | ||||
−0.470039 | + | 0.882645i | \(0.655760\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | − 3.93012i | − 0.684147i | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.414376 | 0.0681231 | 0.0340615 | − | 0.999420i | \(-0.489156\pi\) | ||||
0.0340615 | + | 0.999420i | \(0.489156\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.46733 | 0.555218 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.00454 | 0.469231 | 0.234616 | − | 0.972088i | \(-0.424617\pi\) | ||||
0.234616 | + | 0.972088i | \(0.424617\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.34450 | −0.815029 | −0.407514 | − | 0.913199i | \(-0.633604\pi\) | ||||
−0.407514 | + | 0.913199i | \(0.633604\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.925579i | 0.135010i | 0.997719 | + | 0.0675048i | \(0.0215038\pi\) | ||||
−0.997719 | + | 0.0675048i | \(0.978496\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −15.3061 | −2.18659 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − 3.51575i | − 0.492303i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.233196 | −0.0320320 | −0.0160160 | − | 0.999872i | \(-0.505098\pi\) | ||||
−0.0160160 | + | 0.999872i | \(0.505098\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 5.44133i | 0.720721i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 14.3805i | 1.87219i | 0.351752 | + | 0.936093i | \(0.385586\pi\) | ||||
−0.351752 | + | 0.936093i | \(0.614414\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − 0.118290i | − 0.0151454i | −0.999971 | − | 0.00757271i | \(-0.997590\pi\) | ||||
0.999971 | − | 0.00757271i | \(-0.00241049\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | − 4.72294i | − 0.595034i | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 13.4504 | 1.64323 | 0.821615 | − | 0.570043i | \(-0.193073\pi\) | ||||
0.821615 | + | 0.570043i | \(0.193073\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 7.11585i | 0.856647i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.19027 | −0.259937 | −0.129969 | − | 0.991518i | \(-0.541488\pi\) | ||||
−0.129969 | + | 0.991518i | \(0.541488\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.563219i | 0.0659197i | 0.999457 | + | 0.0329599i | \(0.0104934\pi\) | ||||
−0.999457 | + | 0.0329599i | \(0.989507\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 18.5617 | 2.11530 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.2746 | −1.15599 | −0.577993 | − | 0.816042i | \(-0.696164\pi\) | ||||
−0.577993 | + | 0.816042i | \(0.696164\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −11.3490 | −1.24572 | −0.622860 | − | 0.782334i | \(-0.714029\pi\) | ||||
−0.622860 | + | 0.782334i | \(0.714029\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | − 3.66998i | − 0.393463i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −8.88265 | −0.941559 | −0.470780 | − | 0.882251i | \(-0.656027\pi\) | ||||
−0.470780 | + | 0.882251i | \(0.656027\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 16.3760i | 1.71667i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 5.23414 | 0.542755 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.27462i | 0.738626i | 0.929305 | + | 0.369313i | \(0.120407\pi\) | ||||
−0.929305 | + | 0.369313i | \(0.879593\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.93012i | 0.394992i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 4.23320i | 0.421219i | 0.977570 | + | 0.210609i | \(0.0675448\pi\) | ||||
−0.977570 | + | 0.210609i | \(0.932455\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.0429270i | 0.00422972i | 0.999998 | + | 0.00211486i | \(0.000673181\pi\) | ||||
−0.999998 | + | 0.00211486i | \(0.999327\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −15.4728 | −1.49581 | −0.747907 | − | 0.663804i | \(-0.768941\pi\) | ||||
−0.747907 | + | 0.663804i | \(0.768941\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.9561i | 1.24097i | 0.784217 | + | 0.620486i | \(0.213065\pi\) | ||||
−0.784217 | + | 0.620486i | \(0.786935\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.414376 | −0.0393309 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − 3.86025i | − 0.363141i | −0.983378 | − | 0.181571i | \(-0.941882\pi\) | ||||
0.983378 | − | 0.181571i | \(-0.0581181\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.46733 | −0.320555 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 16.6046 | 1.52215 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.44587 | −0.404170 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.00454 | −0.270911 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 18.3805i | 1.63101i | 0.578751 | + | 0.815505i | \(0.303540\pi\) | ||||
−0.578751 | + | 0.815505i | \(0.696460\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 5.34450 | 0.470557 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.41892i | 0.298713i | 0.988783 | + | 0.149356i | \(0.0477201\pi\) | ||||
−0.988783 | + | 0.149356i | \(0.952280\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −25.6990 | −2.22839 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | − 16.3714i | − 1.39871i | −0.714776 | − | 0.699354i | \(-0.753471\pi\) | ||||
0.714776 | − | 0.699354i | \(-0.246529\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − 1.95707i | − 0.165997i | −0.996550 | − | 0.0829984i | \(-0.973550\pi\) | ||||
0.996550 | − | 0.0829984i | \(-0.0264496\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | − 0.925579i | − 0.0779478i | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | − 13.6271i | − 1.13955i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 15.3061 | 1.26243 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | − 12.0968i | − 0.991011i | −0.868605 | − | 0.495505i | \(-0.834983\pi\) | ||||
0.868605 | − | 0.495505i | \(-0.165017\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.87178 | 0.396460 | 0.198230 | − | 0.980156i | \(-0.436481\pi\) | ||||
0.198230 | + | 0.980156i | \(0.436481\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.51575i | 0.284231i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −21.6561 | −1.72835 | −0.864173 | − | 0.503195i | \(-0.832158\pi\) | ||||
−0.864173 | + | 0.503195i | \(0.832158\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.233196 | 0.0184937 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −33.6077 | −2.64866 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −16.2362 | −1.27172 | −0.635860 | − | 0.771804i | \(-0.719355\pi\) | ||||
−0.635860 | + | 0.771804i | \(0.719355\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 6.69238i | 0.517872i | 0.965894 | + | 0.258936i | \(0.0833719\pi\) | ||||
−0.965894 | + | 0.258936i | \(0.916628\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.977595 | −0.0751996 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | − 5.44133i | − 0.416109i | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −22.4220 | −1.70471 | −0.852355 | − | 0.522963i | \(-0.824827\pi\) | ||||
−0.852355 | + | 0.522963i | \(0.824827\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − 14.3805i | − 1.08091i | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − 0.148842i | − 0.0111250i | −0.999985 | − | 0.00556249i | \(-0.998229\pi\) | ||||
0.999985 | − | 0.00556249i | \(-0.00177060\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.3929i | 0.772499i | 0.922394 | + | 0.386250i | \(0.126230\pi\) | ||||
−0.922394 | + | 0.386250i | \(0.873770\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.118290i | 0.00874422i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.8173 | −1.01042 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.72294i | 0.343543i | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.23320 | −0.451018 | −0.225509 | − | 0.974241i | \(-0.572405\pi\) | ||||
−0.225509 | + | 0.974241i | \(0.572405\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.391971i | 0.0282147i | 0.999900 | + | 0.0141074i | \(0.00449066\pi\) | ||||
−0.999900 | + | 0.0141074i | \(0.995509\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.96616 | 0.425071 | 0.212536 | − | 0.977153i | \(-0.431828\pi\) | ||||
0.212536 | + | 0.977153i | \(0.431828\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −17.9322 | −1.27118 | −0.635591 | − | 0.772026i | \(-0.719243\pi\) | ||||
−0.635591 | + | 0.772026i | \(0.719243\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −13.4504 | −0.948719 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 17.3331 | 1.21654 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | − 7.11585i | − 0.494586i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 21.3851 | 1.47924 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − 6.51575i | − 0.448563i | −0.974524 | − | 0.224281i | \(-0.927997\pi\) | ||||
0.974524 | − | 0.224281i | \(-0.0720034\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.19027 | 0.150075 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 24.7205i | 1.67814i | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | − 0.563219i | − 0.0380588i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − 12.1903i | − 0.820006i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.14640i | 0.210699i | 0.994435 | + | 0.105349i | \(0.0335961\pi\) | ||||
−0.994435 | + | 0.105349i | \(0.966404\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.92103 | 0.260248 | 0.130124 | − | 0.991498i | \(-0.458462\pi\) | ||||
0.130124 | + | 0.991498i | \(0.458462\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − 25.6899i | − 1.69764i | −0.528683 | − | 0.848820i | \(-0.677314\pi\) | ||||
0.528683 | − | 0.848820i | \(-0.322686\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −18.5617 | −1.22127 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | − 25.7565i | − 1.68737i | −0.536841 | − | 0.843683i | \(-0.680383\pi\) | ||||
0.536841 | − | 0.843683i | \(-0.319617\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 10.2746 | 0.667409 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −15.8727 | −1.02672 | −0.513360 | − | 0.858173i | \(-0.671600\pi\) | ||||
−0.513360 | + | 0.858173i | \(0.671600\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 28.1664 | 1.81436 | 0.907178 | − | 0.420748i | \(-0.138232\pi\) | ||||
0.907178 | + | 0.420748i | \(0.138232\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 18.8669i | 1.20047i | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 11.3490 | 0.719216 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.66004i | 0.294139i | 0.989126 | + | 0.147070i | \(0.0469842\pi\) | ||||
−0.989126 | + | 0.147070i | \(0.953016\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 27.9662 | 1.75822 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | − 3.33996i | − 0.208341i | −0.994559 | − | 0.104170i | \(-0.966781\pi\) | ||||
0.994559 | − | 0.104170i | \(-0.0332187\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | − 1.95707i | − 0.121607i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.66998i | 0.227166i | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 27.5932i | 1.70147i | 0.525595 | + | 0.850735i | \(0.323843\pi\) | ||||
−0.525595 | + | 0.850735i | \(0.676157\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.88265 | 0.543609 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 21.8727i | 1.33360i | 0.745235 | + | 0.666802i | \(0.232337\pi\) | ||||
−0.745235 | + | 0.666802i | \(0.767663\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.78583 | 0.533701 | 0.266850 | − | 0.963738i | \(-0.414017\pi\) | ||||
0.266850 | + | 0.963738i | \(0.414017\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | − 16.3760i | − 0.991120i | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −10.3838 | −0.623904 | −0.311952 | − | 0.950098i | \(-0.600983\pi\) | ||||
−0.311952 | + | 0.950098i | \(0.600983\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −5.23414 | −0.313360 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 17.0584 | 1.01762 | 0.508811 | − | 0.860878i | \(-0.330085\pi\) | ||||
0.508811 | + | 0.860878i | \(0.330085\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.54724 | −0.210862 | −0.105431 | − | 0.994427i | \(-0.533622\pi\) | ||||
−0.105431 | + | 0.994427i | \(0.533622\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − 14.1903i | − 0.837625i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.63952 | 0.272913 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − 7.27462i | − 0.426446i | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −5.72538 | −0.334480 | −0.167240 | − | 0.985916i | \(-0.553485\pi\) | ||||
−0.167240 | + | 0.985916i | \(0.553485\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | − 3.93012i | − 0.228049i | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 24.6730i | 1.42688i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 25.2417i | 1.45491i | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | − 4.23320i | − 0.243191i | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.3760 | −0.706335 | −0.353168 | − | 0.935560i | \(-0.614895\pi\) | ||||
−0.353168 | + | 0.935560i | \(0.614895\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − 0.0429270i | − 0.00244203i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 18.2746 | 1.03626 | 0.518129 | − | 0.855302i | \(-0.326629\pi\) | ||||
0.518129 | + | 0.855302i | \(0.326629\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.7114i | 0.718491i | 0.933243 | + | 0.359246i | \(0.116966\pi\) | ||||
−0.933243 | + | 0.359246i | \(0.883034\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 15.8602 | 0.890800 | 0.445400 | − | 0.895332i | \(-0.353061\pi\) | ||||
0.445400 | + | 0.895332i | \(0.353061\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −14.4235 | −0.807559 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 15.4728 | 0.863609 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 19.1303 | 1.06444 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | − 12.9561i | − 0.716476i | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 4.37145 | 0.241006 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − 23.0315i | − 1.26593i | −0.774182 | − | 0.632963i | \(-0.781839\pi\) | ||||
0.774182 | − | 0.632963i | \(-0.218161\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.414376 | 0.0227077 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − 0.860247i | − 0.0468606i | −0.999725 | − | 0.0234303i | \(-0.992541\pi\) | ||||
0.999725 | − | 0.0234303i | \(-0.00745878\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.86025i | 0.209660i | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − 20.5708i | − 1.11397i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 39.2293i | 2.11818i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 32.2856 | 1.73318 | 0.866591 | − | 0.499019i | \(-0.166306\pi\) | ||||
0.866591 | + | 0.499019i | \(0.166306\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − 0.742899i | − 0.0397665i | −0.999802 | − | 0.0198832i | \(-0.993671\pi\) | ||||
0.999802 | − | 0.0198832i | \(-0.00632945\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.46733 | 0.185073 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 32.6392i | 1.73721i | 0.495506 | + | 0.868604i | \(0.334982\pi\) | ||||
−0.495506 | + | 0.868604i | \(0.665018\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −16.6046 | −0.878811 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −2.71056 | −0.143058 | −0.0715290 | − | 0.997439i | \(-0.522788\pi\) | ||||
−0.0715290 | + | 0.997439i | \(0.522788\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.6080 | −0.558317 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 4.44587 | 0.233348 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − 0.680008i | − 0.0354961i | −0.999842 | − | 0.0177481i | \(-0.994350\pi\) | ||||
0.999842 | − | 0.0177481i | \(-0.00564968\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.00454 | 0.156410 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.10137i | 0.0571803i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.47642 | 0.180002 | 0.0900012 | − | 0.995942i | \(-0.471313\pi\) | ||||
0.0900012 | + | 0.995942i | \(0.471313\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − 12.7250i | − 0.655373i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − 23.0650i | − 1.18477i | −0.805655 | − | 0.592385i | \(-0.798187\pi\) | ||||
0.805655 | − | 0.592385i | \(-0.201813\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − 18.3805i | − 0.941664i | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | − 9.81544i | − 0.501545i | −0.968046 | − | 0.250773i | \(-0.919315\pi\) | ||||
0.968046 | − | 0.250773i | \(-0.0806847\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.34450 | −0.271676 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | − 9.86175i | − 0.500010i | −0.968244 | − | 0.250005i | \(-0.919568\pi\) | ||||
0.968244 | − | 0.250005i | \(-0.0804323\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 25.0175 | 1.26519 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | − 3.41892i | − 0.172462i | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.7783 | 0.641326 | 0.320663 | − | 0.947193i | \(-0.396094\pi\) | ||||
0.320663 | + | 0.947193i | \(0.396094\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 25.6990 | 1.28656 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.17325 | 0.158465 | 0.0792323 | − | 0.996856i | \(-0.474753\pi\) | ||||
0.0792323 | + | 0.996856i | \(0.474753\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 18.1485 | 0.904041 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.62855i | 0.0807243i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −12.1125 | −0.598923 | −0.299461 | − | 0.954108i | \(-0.596807\pi\) | ||||
−0.299461 | + | 0.954108i | \(0.596807\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 16.3714i | 0.807544i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 67.9184 | 3.34204 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.95707i | 0.0958383i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − 4.24767i | − 0.207512i | −0.994603 | − | 0.103756i | \(-0.966914\pi\) | ||||
0.994603 | − | 0.103756i | \(-0.0330862\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.77928i | 0.184191i | 0.995750 | + | 0.0920953i | \(0.0293564\pi\) | ||||
−0.995750 | + | 0.0920953i | \(0.970644\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.925579i | 0.0450032i | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.558674 | −0.0270361 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 13.6271i | 0.657920i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −25.6271 | −1.23441 | −0.617206 | − | 0.786802i | \(-0.711735\pi\) | ||||
−0.617206 | + | 0.786802i | \(0.711735\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.03149i | 0.0976274i | 0.998808 | + | 0.0488137i | \(0.0155441\pi\) | ||||
−0.998808 | + | 0.0488137i | \(0.984456\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −38.7196 | −1.85221 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −22.4864 | −1.07322 | −0.536608 | − | 0.843832i | \(-0.680294\pi\) | ||||
−0.536608 | + | 0.843832i | \(0.680294\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −15.3061 | −0.728863 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −3.39385 | −0.161247 | −0.0806234 | − | 0.996745i | \(-0.525691\pi\) | ||||
−0.0806234 | + | 0.996745i | \(0.525691\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 12.0968i | 0.572160i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 2.17780 | 0.102777 | 0.0513883 | − | 0.998679i | \(-0.483635\pi\) | ||||
0.0513883 | + | 0.998679i | \(0.483635\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.8082i | 0.556028i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.87178 | −0.228896 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − 3.57653i | − 0.167303i | −0.996495 | − | 0.0836516i | \(-0.973342\pi\) | ||||
0.996495 | − | 0.0836516i | \(-0.0266583\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | − 3.51575i | − 0.164101i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − 13.1158i | − 0.610866i | −0.952214 | − | 0.305433i | \(-0.901199\pi\) | ||||
0.952214 | − | 0.305433i | \(-0.0988012\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − 3.21417i | − 0.149375i | −0.997207 | − | 0.0746877i | \(-0.976204\pi\) | ||||
0.997207 | − | 0.0746877i | \(-0.0237960\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −30.3016 | −1.40219 | −0.701095 | − | 0.713068i | \(-0.747305\pi\) | ||||
−0.701095 | + | 0.713068i | \(0.747305\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − 63.5254i | − 2.93333i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 21.6561 | 0.997861 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | − 21.0045i | − 0.965790i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.233196 | −0.0106773 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 35.0896 | 1.60328 | 0.801642 | − | 0.597804i | \(-0.203960\pi\) | ||||
0.801642 | + | 0.597804i | \(0.203960\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.43678 | −0.0655116 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 33.6077 | 1.52920 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − 36.9117i | − 1.67263i | −0.548250 | − | 0.836315i | \(-0.684706\pi\) | ||||
0.548250 | − | 0.836315i | \(-0.315294\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 16.2362 | 0.734228 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − 20.9867i | − 0.947116i | −0.880763 | − | 0.473558i | \(-0.842969\pi\) | ||||
0.880763 | − | 0.473558i | \(-0.157031\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −12.9027 | −0.581109 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 10.3445i | 0.464014i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − 15.9906i | − 0.715836i | −0.933753 | − | 0.357918i | \(-0.883487\pi\) | ||||
0.933753 | − | 0.357918i | \(-0.116513\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | − 6.69238i | − 0.298994i | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − 37.6023i | − 1.67660i | −0.545206 | − | 0.838302i | \(-0.683549\pi\) | ||||
0.545206 | − | 0.838302i | \(-0.316451\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.977595 | 0.0434165 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | − 12.8579i | − 0.569917i | −0.958540 | − | 0.284958i | \(-0.908020\pi\) | ||||
0.958540 | − | 0.284958i | \(-0.0919797\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.66004 | 0.117673 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.44133i | 0.240240i | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.63764 | −0.159983 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 22.4220 | 0.984215 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 37.0015 | 1.62107 | 0.810534 | − | 0.585692i | \(-0.199177\pi\) | ||||
0.810534 | + | 0.585692i | \(0.199177\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −17.4952 | −0.765013 | −0.382506 | − | 0.923953i | \(-0.624939\pi\) | ||||
−0.382506 | + | 0.923953i | \(0.624939\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | − 18.4019i | − 0.801600i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −27.6353 | −1.20153 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 14.3805i | 0.624062i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −10.4178 | −0.451243 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0.148842i | 0.00642301i | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − 60.1549i | − 2.59106i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − 38.1225i | − 1.63901i | −0.573069 | − | 0.819507i | \(-0.694247\pi\) | ||||
0.573069 | − | 0.819507i | \(-0.305753\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | − 10.3929i | − 0.446003i | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −35.7406 | −1.52816 | −0.764078 | − | 0.645124i | \(-0.776806\pi\) | ||||
−0.764078 | + | 0.645124i | \(0.776806\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | − 0.118290i | − 0.00504848i | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 19.9695 | 0.850731 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 48.5264i | 2.06355i | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −2.65516 | −0.112503 | −0.0562514 | − | 0.998417i | \(-0.517915\pi\) | ||||
−0.0562514 | + | 0.998417i | \(0.517915\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 18.5312 | 0.783785 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 13.8173 | 0.583368 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 20.3107 | 0.855992 | 0.427996 | − | 0.903781i | \(-0.359220\pi\) | ||||
0.427996 | + | 0.903781i | \(0.359220\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | − 4.72294i | − 0.198345i | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 28.4274 | 1.19174 | 0.595868 | − | 0.803082i | \(-0.296808\pi\) | ||||
0.595868 | + | 0.803082i | \(0.296808\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − 16.1485i | − 0.675794i | −0.941183 | − | 0.337897i | \(-0.890284\pi\) | ||||
0.941183 | − | 0.337897i | \(-0.109716\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 6.23320 | 0.260396 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − 30.3600i | − 1.26390i | −0.775008 | − | 0.631952i | \(-0.782254\pi\) | ||||
0.775008 | − | 0.631952i | \(-0.217746\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | − 0.391971i | − 0.0162898i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 53.6008i | 2.22374i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − 0.916490i | − 0.0379571i | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −2.74070 | −0.113121 | −0.0565604 | − | 0.998399i | \(-0.518013\pi\) | ||||
−0.0565604 | + | 0.998399i | \(0.518013\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 28.4807i | 1.17352i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5.96616 | −0.245415 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 22.2586i | 0.914053i | 0.889453 | + | 0.457027i | \(0.151086\pi\) | ||||
−0.889453 | + | 0.457027i | \(0.848914\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 17.9322 | 0.733917 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 48.4526 | 1.97972 | 0.989860 | − | 0.142046i | \(-0.0453680\pi\) | ||||
0.989860 | + | 0.142046i | \(0.0453680\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.26553 | 0.214786 | 0.107393 | − | 0.994217i | \(-0.465750\pi\) | ||||
0.107393 | + | 0.994217i | \(0.465750\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 13.4504 | 0.547743 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.38288i | 0.299662i | 0.988712 | + | 0.149831i | \(0.0478730\pi\) | ||||
−0.988712 | + | 0.149831i | \(0.952127\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −17.3331 | −0.702371 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − 3.20929i | − 0.129834i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.64607 | 0.106874 | 0.0534369 | − | 0.998571i | \(-0.482982\pi\) | ||||
0.0534369 | + | 0.998571i | \(0.482982\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − 21.0136i | − 0.845977i | −0.906135 | − | 0.422989i | \(-0.860981\pi\) | ||||
0.906135 | − | 0.422989i | \(-0.139019\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − 24.0874i | − 0.968154i | −0.875025 | − | 0.484077i | \(-0.839155\pi\) | ||||
0.875025 | − | 0.484077i | \(-0.160845\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 7.11585i | 0.285549i | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 41.9522i | 1.68078i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −21.3851 | −0.854038 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 1.45684i | 0.0580881i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.2094 | −1.00357 | −0.501785 | − | 0.864992i | \(-0.667323\pi\) | ||||
−0.501785 | + | 0.864992i | \(0.667323\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 6.51575i | 0.258978i | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 53.0714 | 2.10277 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.19027 | −0.0866457 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −18.4755 | −0.729738 | −0.364869 | − | 0.931059i | \(-0.618886\pi\) | ||||
−0.364869 | + | 0.931059i | \(0.618886\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.636984 | −0.0251202 | −0.0125601 | − | 0.999921i | \(-0.503998\pi\) | ||||
−0.0125601 | + | 0.999921i | \(0.503998\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 32.0182i | 1.25876i | 0.777096 | + | 0.629382i | \(0.216692\pi\) | ||||
−0.777096 | + | 0.629382i | \(0.783308\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −56.5173 | −2.21850 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | − 24.7205i | − 0.968873i | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 25.9769 | 1.01656 | 0.508278 | − | 0.861193i | \(-0.330282\pi\) | ||||
0.508278 | + | 0.861193i | \(0.330282\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0.563219i | 0.0219732i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 21.3422i | 0.831372i | 0.909508 | + | 0.415686i | \(0.136459\pi\) | ||||
−0.909508 | + | 0.415686i | \(0.863541\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − 14.8397i | − 0.577198i | −0.957450 | − | 0.288599i | \(-0.906810\pi\) | ||||
0.957450 | − | 0.288599i | \(-0.0931895\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 12.1903i | 0.473431i | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 26.1150 | 1.01118 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | − 3.14640i | − 0.121647i | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.464893 | 0.0179470 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 18.1167i | 0.698347i | 0.937058 | + | 0.349174i | \(0.113538\pi\) | ||||
−0.937058 | + | 0.349174i | \(0.886462\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −30.5617 | −1.17458 | −0.587291 | − | 0.809376i | \(-0.699806\pi\) | ||||
−0.587291 | + | 0.809376i | \(0.699806\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 34.3576 | 1.31852 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.92103 | −0.150254 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −22.2027 | −0.849564 | −0.424782 | − | 0.905296i | \(-0.639649\pi\) | ||||
−0.424782 | + | 0.905296i | \(0.639649\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 25.6899i | 0.980132i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.808569 | 0.0308040 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − 12.6890i | − 0.482712i | −0.970437 | − | 0.241356i | \(-0.922408\pi\) | ||||
0.970437 | − | 0.241356i | \(-0.0775922\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 18.5617 | 0.705101 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 10.5632i | 0.400110i | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 25.7565i | 0.974202i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − 34.9241i | − 1.31906i | −0.751676 | − | 0.659532i | \(-0.770754\pi\) | ||||
0.751676 | − | 0.659532i | \(-0.229246\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − 2.25476i | − 0.0850398i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 19.9931 | 0.751918 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.65610i | 0.212419i | 0.994344 | + | 0.106210i | \(0.0338715\pi\) | ||||
−0.994344 | + | 0.106210i | \(0.966129\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −10.2746 | −0.385328 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 37.2453i | 1.39485i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 15.8727 | 0.592778 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −20.0844 | −0.749020 | −0.374510 | − | 0.927223i | \(-0.622189\pi\) | ||||
−0.374510 | + | 0.927223i | \(0.622189\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.202741 | 0.00755048 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −28.1664 | −1.04752 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 13.0424i | 0.483715i | 0.970312 | + | 0.241857i | \(0.0777566\pi\) | ||||
−0.970312 | + | 0.241857i | \(0.922243\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − 18.7899i | − 0.694970i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 34.8917 | 1.28876 | 0.644378 | − | 0.764707i | \(-0.277116\pi\) | ||||
0.644378 | + | 0.764707i | \(0.277116\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 52.8618i | 1.94719i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 41.5040i | 1.52675i | 0.645957 | + | 0.763374i | \(0.276459\pi\) | ||||
−0.645957 | + | 0.763374i | \(0.723541\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − 18.8669i | − 0.693093i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − 7.63764i | − 0.280198i | −0.990138 | − | 0.140099i | \(-0.955258\pi\) | ||||
0.990138 | − | 0.140099i | \(-0.0447421\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −11.3490 | −0.415240 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 73.0771i | 2.67018i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 19.4029 | 0.708023 | 0.354012 | − | 0.935241i | \(-0.384817\pi\) | ||||
0.354012 | + | 0.935241i | \(0.384817\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − 4.66004i | − 0.169821i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −43.7959 | −1.59179 | −0.795894 | − | 0.605436i | \(-0.792999\pi\) | ||||
−0.795894 | + | 0.605436i | \(0.792999\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −27.9662 | −1.01511 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.95519 | 0.360875 | 0.180438 | − | 0.983586i | \(-0.442249\pi\) | ||||
0.180438 | + | 0.983586i | \(0.442249\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 61.1910 | 2.21526 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | − 49.8621i | − 1.80042i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17.9008 | 0.645520 | 0.322760 | − | 0.946481i | \(-0.395389\pi\) | ||||
0.322760 | + | 0.946481i | \(0.395389\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.33996i | 0.120286i | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −20.8182 | −0.748777 | −0.374389 | − | 0.927272i | \(-0.622147\pi\) | ||||
−0.374389 | + | 0.927272i | \(0.622147\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1.95707i | 0.0702096i | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | − 16.3487i | − 0.585753i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − 8.60803i | − 0.308019i | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − 3.66998i | − 0.131154i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −27.2047 | −0.969744 | −0.484872 | − | 0.874585i | \(-0.661134\pi\) | ||||
−0.484872 | + | 0.874585i | \(0.661134\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | − 27.5932i | − 0.982344i | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −18.2317 | −0.648244 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.410149i | 0.0145648i | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −16.4344 | −0.582138 | −0.291069 | − | 0.956702i | \(-0.594011\pi\) | ||||
−0.291069 | + | 0.956702i | \(0.594011\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.25410 | −0.115122 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.88265 | −0.313853 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −2.21352 | −0.0781134 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | − 21.8727i | − 0.769956i | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −28.7698 | −1.01149 | −0.505747 | − | 0.862682i | \(-0.668783\pi\) | ||||
−0.505747 | + | 0.862682i | \(0.668783\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 14.3512i | 0.503940i | 0.967735 | + | 0.251970i | \(0.0810785\pi\) | ||||
−0.967735 | + | 0.251970i | \(0.918922\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −8.78583 | −0.308132 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 29.0812i | 1.01742i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 16.3760i | 0.572224i | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − 4.97271i | − 0.173549i | −0.996228 | − | 0.0867744i | \(-0.972344\pi\) | ||||
0.996228 | − | 0.0867744i | \(-0.0276559\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 20.3625i | 0.709791i | 0.934906 | + | 0.354895i | \(0.115483\pi\) | ||||
−0.934906 | + | 0.354895i | \(0.884517\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.0039 | 1.25198 | 0.625989 | − | 0.779832i | \(-0.284696\pi\) | ||||
0.625989 | + | 0.779832i | \(0.284696\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − 7.68666i | − 0.266969i | −0.991051 | − | 0.133484i | \(-0.957383\pi\) | ||||
0.991051 | − | 0.133484i | \(-0.0426166\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 10.3838 | 0.360211 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | − 53.8124i | − 1.86449i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 5.23414 | 0.180918 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −25.3725 | −0.875956 | −0.437978 | − | 0.898986i | \(-0.644305\pi\) | ||||
−0.437978 | + | 0.898986i | \(0.644305\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 15.5313 | 0.535561 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −17.0584 | −0.587524 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 20.9976i | 0.721485i | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 3.54724 | 0.121741 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − 2.94864i | − 0.101078i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −20.1365 | −0.689460 | −0.344730 | − | 0.938702i | \(-0.612029\pi\) | ||||
−0.344730 | + | 0.938702i | \(0.612029\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 42.0380i | 1.43599i | 0.696047 | + | 0.717996i | \(0.254940\pi\) | ||||
−0.696047 | + | 0.717996i | \(0.745060\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.4095i | 0.423406i | 0.977334 | + | 0.211703i | \(0.0679010\pi\) | ||||
−0.977334 | + | 0.211703i | \(0.932099\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 14.1903i | 0.483603i | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 21.8154i | 0.742606i | 0.928512 | + | 0.371303i | \(0.121089\pi\) | ||||
−0.928512 | + | 0.371303i | \(0.878911\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −4.63952 | −0.157566 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − 40.3805i | − 1.36982i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −46.6371 | −1.58024 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 7.27462i | 0.246209i | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.83690 | 0.197098 | 0.0985491 | − | 0.995132i | \(-0.468580\pi\) | ||||
0.0985491 | + | 0.995132i | \(0.468580\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 5.72538 | 0.193112 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −11.9613 | −0.402986 | −0.201493 | − | 0.979490i | \(-0.564579\pi\) | ||||
−0.201493 | + | 0.979490i | \(0.564579\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.74810 | −0.126134 | −0.0630668 | − | 0.998009i | \(-0.520088\pi\) | ||||
−0.0630668 | + | 0.998009i | \(0.520088\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | − 42.8101i | − 1.43742i | −0.695309 | − | 0.718711i | \(-0.744732\pi\) | ||||
0.695309 | − | 0.718711i | \(-0.255268\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 86.8101 | 2.91152 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.93012i | 0.131664i | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 5.03638 | 0.168536 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | − 24.6730i | − 0.823808i | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | − 19.2092i | − 0.640662i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − 0.819859i | − 0.0273135i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | − 25.2417i | − 0.839992i | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −6.97759 | −0.231687 | −0.115844 | − | 0.993267i | \(-0.536957\pi\) | ||||
−0.115844 | + | 0.993267i | \(0.536957\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 4.23320i | 0.140406i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −24.2837 | −0.804555 | −0.402278 | − | 0.915518i | \(-0.631781\pi\) | ||||
−0.402278 | + | 0.915518i | \(0.631781\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − 44.6031i | − 1.47615i | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 16.1473 | 0.533232 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.25720 | −0.0414712 | −0.0207356 | − | 0.999785i | \(-0.506601\pi\) | ||||
−0.0207356 | + | 0.999785i | \(0.506601\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 12.3760 | 0.407803 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 7.59440 | 0.249973 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.0429270i | 0.00140991i | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −10.4933 | −0.344275 | −0.172138 | − | 0.985073i | \(-0.555067\pi\) | ||||
−0.172138 | + | 0.985073i | \(0.555067\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 83.2856i | 2.72957i | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −18.2746 | −0.598284 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.9680i | 0.423648i | 0.977308 | + | 0.211824i | \(0.0679403\pi\) | ||||
−0.977308 | + | 0.211824i | \(0.932060\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − 12.7114i | − 0.414821i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 44.9947i | 1.46678i | 0.679806 | + | 0.733392i | \(0.262064\pi\) | ||||
−0.679806 | + | 0.733392i | \(0.737936\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − 21.3799i | − 0.696225i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 30.6282 | 0.995283 | 0.497642 | − | 0.867383i | \(-0.334199\pi\) | ||||
0.497642 | + | 0.867383i | \(0.334199\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − 1.95287i | − 0.0633927i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −15.8602 | −0.514304 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − 17.5717i | − 0.569202i | −0.958646 | − | 0.284601i | \(-0.908139\pi\) | ||||
0.958646 | − | 0.284601i | \(-0.0918610\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 14.4235 | 0.466244 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −77.3213 | −2.49683 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.60380 | −0.116252 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −15.4728 | −0.498605 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − 4.50932i | − 0.145010i | −0.997368 | − | 0.0725050i | \(-0.976901\pi\) | ||||
0.997368 | − | 0.0725050i | \(-0.0230993\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −19.1303 | −0.614555 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − 35.8512i | − 1.15052i | −0.817971 | − | 0.575259i | \(-0.804901\pi\) | ||||
0.817971 | − | 0.575259i | \(-0.195099\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −9.24313 | −0.296321 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | − 43.9704i | − 1.40674i | −0.710826 | − | 0.703368i | \(-0.751678\pi\) | ||||
0.710826 | − | 0.703368i | \(-0.248322\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − 34.9099i | − 1.11573i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 12.9561i | 0.413657i | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | − 4.64187i | − 0.148053i | −0.997256 | − | 0.0740263i | \(-0.976415\pi\) | ||||
0.997256 | − | 0.0740263i | \(-0.0235849\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −4.37145 | −0.139145 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 38.0307i | 1.20930i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 52.9117 | 1.68080 | 0.840398 | − | 0.541970i | \(-0.182321\pi\) | ||||
0.840398 | + | 0.541970i | \(0.182321\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 23.0315i | 0.730882i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −39.4228 | −1.24853 | −0.624266 | − | 0.781211i | \(-0.714602\pi\) | ||||
−0.624266 | + | 0.781211i | \(0.714602\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.414376 | −0.0131103 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))