Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5292,2,Mod(361,5292)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(5292, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("5292.361");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 5292 = 2^{2} \cdot 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5292.l (of order \(3\), degree \(2\), 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: | \(42.2568327497\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{17}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 252) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 361.2 | ||
Root | \(0.500000 + 1.41036i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5292.361 |
Dual form | 5292.2.l.e.3313.2 |
$q$-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 \(\left(\mathbb{Z}/5292\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) | \(2647\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.239123 | −0.106939 | −0.0534696 | − | 0.998569i | \(-0.517028\pi\) | ||||
−0.0534696 | + | 0.998569i | \(0.517028\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 5.12476 | 1.54517 | 0.772587 | − | 0.634909i | \(-0.218962\pi\) | ||||
0.772587 | + | 0.634909i | \(0.218962\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.44282 | − | 4.23109i | 0.677516 | − | 1.17349i | −0.298210 | − | 0.954500i | \(-0.596390\pi\) |
0.975727 | − | 0.218993i | \(-0.0702770\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.85185 | − | 3.20750i | 0.449139 | − | 0.777932i | −0.549191 | − | 0.835697i | \(-0.685064\pi\) |
0.998330 | + | 0.0577649i | \(0.0183974\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.83009 | − | 3.16982i | −0.419853 | − | 0.727206i | 0.576072 | − | 0.817399i | \(-0.304585\pi\) |
−0.995924 | + | 0.0901932i | \(0.971252\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −7.42107 | −1.54740 | −0.773700 | − | 0.633553i | \(-0.781596\pi\) | ||||
−0.773700 | + | 0.633553i | \(0.781596\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.94282 | −0.988564 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.73229 | + | 3.00041i | 0.321678 | + | 0.557162i | 0.980834 | − | 0.194844i | \(-0.0624200\pi\) |
−0.659157 | + | 0.752006i | \(0.729087\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.358685 | + | 0.621261i | 0.0644217 | + | 0.111582i | 0.896437 | − | 0.443171i | \(-0.146146\pi\) |
−0.832016 | + | 0.554752i | \(0.812813\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.30150 | − | 3.98632i | −0.378365 | − | 0.655348i | 0.612459 | − | 0.790502i | \(-0.290180\pi\) |
−0.990825 | + | 0.135154i | \(0.956847\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.80150 | − | 4.85235i | 0.437522 | − | 0.757810i | −0.559976 | − | 0.828509i | \(-0.689190\pi\) |
0.997498 | + | 0.0706992i | \(0.0225230\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.24433 | − | 10.8155i | −0.952251 | − | 1.64935i | −0.740538 | − | 0.672015i | \(-0.765429\pi\) |
−0.211713 | − | 0.977332i | \(-0.567904\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.16991 | − | 3.75839i | 0.316513 | − | 0.548217i | −0.663245 | − | 0.748403i | \(-0.730821\pi\) |
0.979758 | + | 0.200186i | \(0.0641545\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.471410 | + | 0.816506i | −0.0647531 | + | 0.112156i | −0.896584 | − | 0.442873i | \(-0.853959\pi\) |
0.831831 | + | 0.555029i | \(0.187293\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.22545 | −0.165240 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.78947 | + | 6.56355i | 0.493347 | + | 0.854501i | 0.999971 | − | 0.00766579i | \(-0.00244012\pi\) |
−0.506624 | + | 0.862167i | \(0.669107\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.75404 | + | 4.77014i | −0.352619 | + | 0.610754i | −0.986707 | − | 0.162507i | \(-0.948042\pi\) |
0.634089 | + | 0.773260i | \(0.281375\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.584135 | + | 1.01175i | −0.0724530 | + | 0.125492i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.330095 | + | 0.571741i | 0.0403275 | + | 0.0698493i | 0.885485 | − | 0.464669i | \(-0.153827\pi\) |
−0.845157 | + | 0.534518i | \(0.820493\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −13.7414 | −1.63081 | −0.815405 | − | 0.578891i | \(-0.803486\pi\) | ||||
−0.815405 | + | 0.578891i | \(0.803486\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.83009 | − | 3.16982i | 0.214196 | − | 0.370999i | −0.738827 | − | 0.673895i | \(-0.764620\pi\) |
0.953024 | + | 0.302896i | \(0.0979534\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.11273 | − | 5.39140i | 0.350209 | − | 0.606580i | −0.636077 | − | 0.771626i | \(-0.719444\pi\) |
0.986286 | + | 0.165046i | \(0.0527772\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.85185 | + | 8.40365i | 0.532560 | + | 0.922420i | 0.999277 | + | 0.0380138i | \(0.0121031\pi\) |
−0.466718 | + | 0.884406i | \(0.654564\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.442820 | + | 0.766987i | −0.0480306 | + | 0.0831914i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.74433 | − | 6.48536i | −0.396898 | − | 0.687447i | 0.596444 | − | 0.802655i | \(-0.296580\pi\) |
−0.993341 | + | 0.115208i | \(0.963247\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.437618 | + | 0.757977i | 0.0448987 | + | 0.0777668i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.57442 | + | 14.8513i | 0.870600 | + | 1.50792i | 0.861377 | + | 0.507967i | \(0.169603\pi\) |
0.00922376 | + | 0.999957i | \(0.497064\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.18194 | −0.714630 | −0.357315 | − | 0.933984i | \(-0.616308\pi\) | ||||
−0.357315 | + | 0.933984i | \(0.616308\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −12.8285 | −1.26403 | −0.632013 | − | 0.774958i | \(-0.717771\pi\) | ||||
−0.632013 | + | 0.774958i | \(0.717771\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.78263 | + | 6.55171i | 0.365681 | + | 0.633377i | 0.988885 | − | 0.148681i | \(-0.0475029\pi\) |
−0.623204 | + | 0.782059i | \(0.714170\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.49028 | − | 6.04535i | 0.334309 | − | 0.579040i | −0.649043 | − | 0.760752i | \(-0.724831\pi\) |
0.983352 | + | 0.181712i | \(0.0581639\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −9.78495 | + | 16.9480i | −0.920491 | + | 1.59434i | −0.121834 | + | 0.992550i | \(0.538878\pi\) |
−0.798657 | + | 0.601787i | \(0.794456\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.77455 | 0.165478 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 15.2632 | 1.38756 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 2.37756 | 0.212655 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.8090 | −1.49156 | −0.745780 | − | 0.666192i | \(-0.767923\pi\) | ||||
−0.745780 | + | 0.666192i | \(0.767923\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.89931 | −0.428055 | −0.214027 | − | 0.976828i | \(-0.568658\pi\) | ||||
−0.214027 | + | 0.976828i | \(0.568658\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −5.44514 | −0.465210 | −0.232605 | − | 0.972571i | \(-0.574725\pi\) | ||||
−0.232605 | + | 0.972571i | \(0.574725\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.83009 | + | 4.90187i | −0.240046 | + | 0.415771i | −0.960727 | − | 0.277495i | \(-0.910496\pi\) |
0.720681 | + | 0.693266i | \(0.243829\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 12.5189 | − | 21.6833i | 1.04688 | − | 1.81325i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.414230 | − | 0.717468i | −0.0343999 | − | 0.0595824i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.28263 | −0.187000 | −0.0935002 | − | 0.995619i | \(-0.529806\pi\) | ||||
−0.0935002 | + | 0.995619i | \(0.529806\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.2632 | 0.916586 | 0.458293 | − | 0.888801i | \(-0.348461\pi\) | ||||
0.458293 | + | 0.888801i | \(0.348461\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.0857699 | − | 0.148558i | −0.00688921 | − | 0.0119325i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.77292 | − | 4.80283i | −0.221303 | − | 0.383308i | 0.733901 | − | 0.679256i | \(-0.237698\pi\) |
−0.955204 | + | 0.295949i | \(0.904364\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.33009 | − | 5.76789i | −0.260833 | − | 0.451776i | 0.705630 | − | 0.708580i | \(-0.250664\pi\) |
−0.966464 | + | 0.256804i | \(0.917331\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.20370 | − | 3.81691i | 0.170527 | − | 0.295362i | −0.768077 | − | 0.640357i | \(-0.778786\pi\) |
0.938604 | + | 0.344996i | \(0.112120\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.43474 | − | 9.41325i | −0.418057 | − | 0.724096i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 12.6654 | − | 21.9371i | 0.962932 | − | 1.66785i | 0.247860 | − | 0.968796i | \(-0.420273\pi\) |
0.715072 | − | 0.699051i | \(-0.246394\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.77292 | − | 8.26693i | 0.356744 | − | 0.617899i | −0.630670 | − | 0.776051i | \(-0.717220\pi\) |
0.987415 | + | 0.158151i | \(0.0505534\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.3743 | 0.919774 | 0.459887 | − | 0.887978i | \(-0.347890\pi\) | ||||
0.459887 | + | 0.887978i | \(0.347890\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.550343 | + | 0.953223i | 0.0404621 | + | 0.0700823i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.49028 | − | 16.4377i | 0.693998 | − | 1.20204i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.58414 | − | 11.4041i | 0.476411 | − | 0.825169i | −0.523223 | − | 0.852196i | \(-0.675271\pi\) |
0.999635 | + | 0.0270270i | \(0.00860400\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.57442 | − | 9.65518i | −0.401256 | − | 0.694995i | 0.592622 | − | 0.805481i | \(-0.298093\pi\) |
−0.993878 | + | 0.110486i | \(0.964759\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.144194 | 0.0102734 | 0.00513669 | − | 0.999987i | \(-0.498365\pi\) | ||||
0.00513669 | + | 0.999987i | \(0.498365\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.73461 | − | 16.8608i | 0.690068 | − | 1.19523i | −0.281747 | − | 0.959489i | \(-0.590914\pi\) |
0.971815 | − | 0.235744i | \(-0.0757528\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.669905 | + | 1.16031i | −0.0467882 | + | 0.0810395i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −9.37880 | − | 16.2446i | −0.648745 | − | 1.12366i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.61436 | − | 2.79615i | 0.111137 | − | 0.192495i | −0.805092 | − | 0.593150i | \(-0.797884\pi\) |
0.916229 | + | 0.400655i | \(0.131217\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.49316 | + | 2.58623i | 0.101833 | + | 0.176380i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −9.04746 | − | 15.6707i | −0.608598 | − | 1.05412i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −10.3856 | − | 17.9885i | −0.695474 | − | 1.20460i | −0.970021 | − | 0.243022i | \(-0.921861\pi\) |
0.274547 | − | 0.961574i | \(-0.411472\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −21.9428 | −1.45640 | −0.728198 | − | 0.685367i | \(-0.759642\pi\) | ||||
−0.728198 | + | 0.685367i | \(0.759642\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 22.7713 | 1.50477 | 0.752384 | − | 0.658724i | \(-0.228904\pi\) | ||||
0.752384 | + | 0.658724i | \(0.228904\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −12.8908 | − | 22.3276i | −0.844507 | − | 1.46273i | −0.886049 | − | 0.463592i | \(-0.846560\pi\) |
0.0415414 | − | 0.999137i | \(-0.486773\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.518875 | + | 0.898718i | −0.0338477 | + | 0.0586259i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −13.6488 | + | 23.6405i | −0.882870 | + | 1.52918i | −0.0347345 | + | 0.999397i | \(0.511059\pi\) |
−0.848136 | + | 0.529779i | \(0.822275\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.0345 | 0.646378 | 0.323189 | − | 0.946334i | \(-0.395245\pi\) | ||||
0.323189 | + | 0.946334i | \(0.395245\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −17.8824 | −1.13783 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 28.3171 | 1.78736 | 0.893680 | − | 0.448705i | \(-0.148115\pi\) | ||||
0.893680 | + | 0.448705i | \(0.148115\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −38.0312 | −2.39100 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −28.8629 | −1.80042 | −0.900210 | − | 0.435455i | \(-0.856587\pi\) | ||||
−0.900210 | + | 0.435455i | \(0.856587\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 1.20929 | 0.0745680 | 0.0372840 | − | 0.999305i | \(-0.488129\pi\) | ||||
0.0372840 | + | 0.999305i | \(0.488129\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.112725 | − | 0.195246i | 0.00692465 | − | 0.0119938i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.50684 | − | 7.80607i | 0.274787 | − | 0.475944i | −0.695295 | − | 0.718725i | \(-0.744726\pi\) |
0.970081 | + | 0.242780i | \(0.0780594\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.80150 | − | 15.2447i | −0.534653 | − | 0.926047i | −0.999180 | − | 0.0404876i | \(-0.987109\pi\) |
0.464527 | − | 0.885559i | \(-0.346224\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −25.3308 | −1.52750 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.45417 | 0.0873726 | 0.0436863 | − | 0.999045i | \(-0.486090\pi\) | ||||
0.0436863 | + | 0.999045i | \(0.486090\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −10.1482 | − | 17.5771i | −0.605388 | − | 1.04856i | −0.991990 | − | 0.126316i | \(-0.959685\pi\) |
0.386602 | − | 0.922247i | \(-0.373649\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.30150 | + | 3.98632i | 0.136810 | + | 0.236962i | 0.926288 | − | 0.376817i | \(-0.122982\pi\) |
−0.789477 | + | 0.613780i | \(0.789648\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.64132 | + | 2.84284i | 0.0965479 | + | 0.167226i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.53667 | + | 6.12569i | −0.206614 | + | 0.357867i | −0.950646 | − | 0.310278i | \(-0.899578\pi\) |
0.744031 | + | 0.668145i | \(0.232911\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.906150 | − | 1.56950i | −0.0527581 | − | 0.0913797i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −18.1283 | + | 31.3992i | −1.04839 | + | 1.81586i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.658555 | − | 1.14065i | 0.0377088 | − | 0.0653135i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 15.7518 | 0.899006 | 0.449503 | − | 0.893279i | \(-0.351601\pi\) | ||||
0.449503 | + | 0.893279i | \(0.351601\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −9.81191 | − | 16.9947i | −0.556382 | − | 0.963682i | −0.997795 | − | 0.0663780i | \(-0.978856\pi\) |
0.441412 | − | 0.897304i | \(-0.354478\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.7427 | − | 22.0710i | 0.720259 | − | 1.24753i | −0.240636 | − | 0.970615i | \(-0.577356\pi\) |
0.960896 | − | 0.276911i | \(-0.0893106\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 4.14132 | − | 7.17297i | 0.232599 | − | 0.402874i | −0.725973 | − | 0.687723i | \(-0.758610\pi\) |
0.958572 | + | 0.284849i | \(0.0919436\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.87756 | + | 15.3764i | 0.497048 | + | 0.860912i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −13.5562 | −0.754289 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.0744 | + | 20.9135i | −0.669768 | + | 1.16007i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.99028 | − | 10.3755i | 0.329256 | − | 0.570288i | −0.653109 | − | 0.757264i | \(-0.726535\pi\) |
0.982364 | + | 0.186976i | \(0.0598688\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.0789334 | − | 0.136717i | −0.00431259 | − | 0.00746963i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.46006 | − | 11.1892i | 0.351902 | − | 0.609512i | −0.634681 | − | 0.772774i | \(-0.718868\pi\) |
0.986583 | + | 0.163262i | \(0.0522017\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.83818 | + | 3.18381i | 0.0995428 | + | 0.172413i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 8.09329 | + | 14.0180i | 0.434471 | + | 0.752526i | 0.997252 | − | 0.0740802i | \(-0.0236021\pi\) |
−0.562781 | + | 0.826606i | \(0.690269\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 9.05718 | + | 15.6875i | 0.484820 | + | 0.839732i | 0.999848 | − | 0.0174409i | \(-0.00555188\pi\) |
−0.515028 | + | 0.857173i | \(0.672219\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 11.6979 | 0.622618 | 0.311309 | − | 0.950309i | \(-0.399233\pi\) | ||||
0.311309 | + | 0.950309i | \(0.399233\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.28590 | 0.174397 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 17.8623 | + | 30.9383i | 0.942734 | + | 1.63286i | 0.760227 | + | 0.649658i | \(0.225088\pi\) |
0.182507 | + | 0.983205i | \(0.441579\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.80150 | − | 4.85235i | 0.147448 | − | 0.255387i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.437618 | + | 0.757977i | −0.0229060 | + | 0.0396743i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.0539 | 0.890207 | 0.445103 | − | 0.895479i | \(-0.353167\pi\) | ||||
0.445103 | + | 0.895479i | \(0.353167\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −25.9234 | −1.34226 | −0.671131 | − | 0.741339i | \(-0.734191\pi\) | ||||
−0.671131 | + | 0.741339i | \(0.734191\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 16.9267 | 0.871767 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 26.8446 | 1.37892 | 0.689458 | − | 0.724326i | \(-0.257849\pi\) | ||||
0.689458 | + | 0.724326i | \(0.257849\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −24.8525 | −1.26991 | −0.634953 | − | 0.772551i | \(-0.718980\pi\) | ||||
−0.634953 | + | 0.772551i | \(0.718980\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 18.2528 | 0.925454 | 0.462727 | − | 0.886501i | \(-0.346871\pi\) | ||||
0.462727 | + | 0.886501i | \(0.346871\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −13.7427 | + | 23.8030i | −0.694998 | + | 1.20377i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.744325 | + | 1.28921i | −0.0374511 | + | 0.0648671i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.18715 | − | 10.7164i | −0.310524 | − | 0.537843i | 0.667952 | − | 0.744204i | \(-0.267171\pi\) |
−0.978476 | + | 0.206361i | \(0.933838\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 10.9623 | 0.547429 | 0.273714 | − | 0.961811i | \(-0.411748\pi\) | ||||
0.273714 | + | 0.961811i | \(0.411748\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.50481 | 0.174587 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −11.7947 | − | 20.4290i | −0.584640 | − | 1.01263i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.66019 | + | 11.5358i | 0.329325 | + | 0.570408i | 0.982378 | − | 0.186904i | \(-0.0598454\pi\) |
−0.653053 | + | 0.757312i | \(0.726512\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.16019 | − | 2.00951i | −0.0569515 | − | 0.0986429i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.35705 | − | 4.08253i | 0.115149 | − | 0.199445i | −0.802690 | − | 0.596396i | \(-0.796599\pi\) |
0.917839 | + | 0.396952i | \(0.129932\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.65856 | − | 16.7291i | −0.470729 | − | 0.815327i | 0.528710 | − | 0.848802i | \(-0.322676\pi\) |
−0.999440 | + | 0.0334755i | \(0.989342\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −9.15335 | + | 15.8541i | −0.444003 | + | 0.769036i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −15.1397 | + | 26.2227i | −0.729253 | + | 1.26310i | 0.227947 | + | 0.973674i | \(0.426799\pi\) |
−0.957199 | + | 0.289429i | \(0.906535\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 34.2060 | 1.64384 | 0.821918 | − | 0.569606i | \(-0.192904\pi\) | ||||
0.821918 | + | 0.569606i | \(0.192904\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 13.5813 | + | 23.5234i | 0.649680 | + | 1.12528i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.311220 | − | 0.539049i | 0.0148537 | − | 0.0257274i | −0.858503 | − | 0.512809i | \(-0.828605\pi\) |
0.873357 | + | 0.487081i | \(0.161938\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.58934 | + | 4.48486i | −0.123023 | + | 0.213082i | −0.920958 | − | 0.389661i | \(-0.872592\pi\) |
0.797935 | + | 0.602743i | \(0.205926\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.895355 | + | 1.55080i | 0.0424439 | + | 0.0735150i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10.4977 | 0.495416 | 0.247708 | − | 0.968835i | \(-0.420323\pi\) | ||||
0.247708 | + | 0.968835i | \(0.420323\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.3571 | − | 24.8671i | 0.676047 | − | 1.17095i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.60464 | − | 2.77933i | 0.0750621 | − | 0.130011i | −0.826051 | − | 0.563595i | \(-0.809418\pi\) |
0.901113 | + | 0.433584i | \(0.142751\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −18.1150 | − | 31.3762i | −0.843702 | − | 1.46133i | −0.886744 | − | 0.462261i | \(-0.847038\pi\) |
0.0430418 | − | 0.999073i | \(-0.486295\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.5253 | + | 25.1586i | −0.675049 | + | 1.16922i | 0.301406 | + | 0.953496i | \(0.402544\pi\) |
−0.976455 | + | 0.215723i | \(0.930789\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −18.7466 | − | 32.4701i | −0.867491 | − | 1.50254i | −0.864552 | − | 0.502544i | \(-0.832398\pi\) |
−0.00293952 | − | 0.999996i | \(-0.500936\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −32.0007 | − | 55.4268i | −1.47139 | − | 2.54853i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 9.04583 | + | 15.6678i | 0.415051 | + | 0.718890i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −29.9097 | −1.36661 | −0.683305 | − | 0.730133i | \(-0.739458\pi\) | ||||
−0.683305 | + | 0.730133i | \(0.739458\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −22.4887 | −1.02539 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.05034 | − | 3.55130i | −0.0931013 | − | 0.161256i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.6316 | + | 18.4145i | −0.481764 | + | 0.834439i | −0.999781 | − | 0.0209309i | \(-0.993337\pi\) |
0.518017 | + | 0.855370i | \(0.326670\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −10.6985 | + | 18.5303i | −0.482816 | + | 0.836262i | −0.999805 | − | 0.0197296i | \(-0.993719\pi\) |
0.516989 | + | 0.855992i | \(0.327053\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.8317 | 0.577912 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 14.5653 | 0.652031 | 0.326015 | − | 0.945364i | \(-0.394294\pi\) | ||||
0.326015 | + | 0.945364i | \(0.394294\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −2.92339 | −0.130348 | −0.0651738 | − | 0.997874i | \(-0.520760\pi\) | ||||
−0.0651738 | + | 0.997874i | \(0.520760\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.71737 | 0.0764220 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 19.2405 | 0.852820 | 0.426410 | − | 0.904530i | \(-0.359778\pi\) | ||||
0.426410 | + | 0.904530i | \(0.359778\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 3.06758 | 0.135174 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 11.1202 | − | 19.2608i | 0.489068 | − | 0.847091i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.8743 | − | 24.0310i | 0.607844 | − | 1.05282i | −0.383751 | − | 0.923436i | \(-0.625368\pi\) |
0.991595 | − | 0.129380i | \(-0.0412986\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.36840 | + | 2.37014i | 0.0598360 | + | 0.103639i | 0.894392 | − | 0.447285i | \(-0.147609\pi\) |
−0.834556 | + | 0.550924i | \(0.814276\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 2.65692 | 0.115737 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 32.0722 | 1.39444 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −13.6871 | − | 23.7068i | −0.592856 | − | 1.02686i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.904515 | − | 1.56667i | −0.0391056 | − | 0.0677329i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.98865 | + | 10.3726i | 0.257472 | + | 0.445955i | 0.965564 | − | 0.260165i | \(-0.0837771\pi\) |
−0.708092 | + | 0.706120i | \(0.750444\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.834608 | + | 1.44558i | −0.0357507 | + | 0.0619220i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.7346 | + | 18.5929i | 0.458979 | + | 0.794975i | 0.998907 | − | 0.0467363i | \(-0.0148821\pi\) |
−0.539928 | + | 0.841711i | \(0.681549\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.34050 | − | 10.9821i | 0.270114 | − | 0.467852i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −15.9246 | + | 27.5823i | −0.674748 | + | 1.16870i | 0.301794 | + | 0.953373i | \(0.402415\pi\) |
−0.976542 | + | 0.215325i | \(0.930919\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −61.0150 | −2.58066 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 17.7742 | + | 30.7857i | 0.749091 | + | 1.29746i | 0.948259 | + | 0.317499i | \(0.102843\pi\) |
−0.199167 | + | 0.979966i | \(0.563824\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.33981 | − | 4.05267i | 0.0984366 | − | 0.170497i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 10.8743 | − | 18.8348i | 0.455874 | − | 0.789597i | −0.542864 | − | 0.839821i | \(-0.682660\pi\) |
0.998738 | + | 0.0502237i | \(0.0159934\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.79987 | + | 8.31362i | 0.200868 | + | 0.347914i | 0.948808 | − | 0.315852i | \(-0.102290\pi\) |
−0.747940 | + | 0.663766i | \(0.768957\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 36.6810 | 1.52970 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.50916 | + | 11.2742i | −0.270980 | + | 0.469351i | −0.969113 | − | 0.246617i | \(-0.920681\pi\) |
0.698133 | + | 0.715968i | \(0.254014\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.41586 | + | 4.18440i | −0.100055 | + | 0.173300i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 8.64364 | + | 14.9712i | 0.356761 | + | 0.617928i | 0.987418 | − | 0.158134i | \(-0.0505477\pi\) |
−0.630657 | + | 0.776062i | \(0.717214\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.31285 | − | 2.27393i | 0.0540952 | − | 0.0936957i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 6.20765 | + | 10.7520i | 0.254918 | + | 0.441531i | 0.964873 | − | 0.262716i | \(-0.0846182\pi\) |
−0.709955 | + | 0.704247i | \(0.751285\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −3.94282 | − | 6.82916i | −0.161099 | − | 0.279032i | 0.774164 | − | 0.632985i | \(-0.218171\pi\) |
−0.935263 | + | 0.353953i | \(0.884837\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.1413 | − | 19.2973i | −0.454464 | − | 0.787154i | 0.544193 | − | 0.838960i | \(-0.316836\pi\) |
−0.998657 | + | 0.0518055i | \(0.983502\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −3.64979 | −0.148385 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 22.0917 | 0.896673 | 0.448336 | − | 0.893865i | \(-0.352017\pi\) | ||||
0.448336 | + | 0.893865i | \(0.352017\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −10.6014 | − | 18.3621i | −0.428886 | − | 0.742852i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.7632 | − | 25.5706i | 0.596280 | − | 1.03279i | −0.397085 | − | 0.917782i | \(-0.629978\pi\) |
0.993365 | − | 0.115005i | \(-0.0366885\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −5.01655 | + | 8.68892i | −0.201959 | + | 0.349803i | −0.949159 | − | 0.314796i | \(-0.898064\pi\) |
0.747201 | + | 0.664598i | \(0.231397\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −38.2567 | −1.53767 | −0.768833 | − | 0.639450i | \(-0.779162\pi\) | ||||
−0.768833 | + | 0.639450i | \(0.779162\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.1456 | 0.965823 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −17.0482 | −0.679754 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.0377 | −0.917118 | −0.458559 | − | 0.888664i | \(-0.651634\pi\) | ||||
−0.458559 | + | 0.888664i | \(0.651634\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 4.01943 | 0.159506 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 17.3729 | 0.686189 | 0.343094 | − | 0.939301i | \(-0.388525\pi\) | ||||
0.343094 | + | 0.939301i | \(0.388525\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.47949 | − | 16.4190i | 0.373835 | − | 0.647501i | −0.616317 | − | 0.787498i | \(-0.711376\pi\) |
0.990152 | + | 0.139997i | \(0.0447094\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 9.50972 | − | 16.4713i | 0.373865 | − | 0.647554i | −0.616291 | − | 0.787518i | \(-0.711366\pi\) |
0.990157 | + | 0.139964i | \(0.0446988\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 19.4201 | + | 33.6366i | 0.762306 | + | 1.32035i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 7.18659 | 0.281233 | 0.140616 | − | 0.990064i | \(-0.455092\pi\) | ||||
0.140616 | + | 0.990064i | \(0.455092\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.17154 | 0.0457758 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 12.7261 | + | 22.0423i | 0.495740 | + | 0.858647i | 0.999988 | − | 0.00491209i | \(-0.00156357\pi\) |
−0.504248 | + | 0.863559i | \(0.668230\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.14295 | − | 7.17580i | −0.161142 | − | 0.279106i | 0.774136 | − | 0.633019i | \(-0.218184\pi\) |
−0.935279 | + | 0.353912i | \(0.884851\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.8554 | − | 22.2662i | −0.497764 | − | 0.862152i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −14.1138 | + | 24.4458i | −0.544857 | + | 0.943721i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.91586 | + | 10.2466i | 0.228040 | + | 0.394977i | 0.957227 | − | 0.289338i | \(-0.0934350\pi\) |
−0.729187 | + | 0.684314i | \(0.760102\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 6.80314 | − | 11.7834i | 0.261466 | − | 0.452872i | −0.705166 | − | 0.709042i | \(-0.749127\pi\) |
0.966632 | + | 0.256170i | \(0.0824608\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1.79071 | − | 3.10160i | 0.0685196 | − | 0.118679i | −0.829730 | − | 0.558165i | \(-0.811506\pi\) |
0.898250 | + | 0.439485i | \(0.144839\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.30206 | 0.0497492 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2.30314 | + | 3.98916i | 0.0877426 | + | 0.151975i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.85868 | + | 10.1475i | −0.222875 | + | 0.386031i | −0.955680 | − | 0.294408i | \(-0.904877\pi\) |
0.732805 | + | 0.680439i | \(0.238211\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0.676742 | − | 1.17215i | 0.0256703 | − | 0.0444622i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −10.3759 | − | 17.9716i | −0.393016 | − | 0.680724i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.5926 | 0.400077 | 0.200039 | − | 0.979788i | \(-0.435893\pi\) | ||||
0.200039 | + | 0.979788i | \(0.435893\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −8.42395 | + | 14.5907i | −0.317715 | + | 0.550299i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −19.1488 | + | 33.1668i | −0.719150 | + | 1.24560i | 0.242187 | + | 0.970230i | \(0.422135\pi\) |
−0.961337 | + | 0.275374i | \(0.911198\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.66182 | − | 4.61042i | −0.0996861 | − | 0.172661i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.99355 | + | 5.18499i | −0.111953 | + | 0.193908i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 20.8376 | + | 36.0918i | 0.777112 | + | 1.34600i | 0.933600 | + | 0.358318i | \(0.116650\pi\) |
−0.156488 | + | 0.987680i | \(0.550017\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −8.56238 | − | 14.8305i | −0.317999 | − | 0.550790i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.4126 | + | 28.4274i | 0.608709 | + | 1.05432i | 0.991453 | + | 0.130461i | \(0.0416458\pi\) |
−0.382744 | + | 0.923854i | \(0.625021\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −46.2542 | −1.71077 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.29768 | 0.343418 | 0.171709 | − | 0.985148i | \(-0.445071\pi\) | ||||
0.171709 | + | 0.985148i | \(0.445071\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.69166 | + | 2.93004i | 0.0623130 | + | 0.107929i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.68878 | + | 9.85326i | −0.209265 | + | 0.362458i | −0.951483 | − | 0.307701i | \(-0.900441\pi\) |
0.742218 | + | 0.670158i | \(0.233774\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.16182 | + | 2.01234i | −0.0426232 | + | 0.0738256i | −0.886550 | − | 0.462633i | \(-0.846905\pi\) |
0.843927 | + | 0.536458i | \(0.180238\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.545830 | 0.0199977 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.1338 | −0.406278 | −0.203139 | − | 0.979150i | \(-0.565114\pi\) | ||||
−0.203139 | + | 0.979150i | \(0.565114\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −2.69329 | −0.0980190 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 52.1639 | 1.89593 | 0.947964 | − | 0.318376i | \(-0.103138\pi\) | ||||
0.947964 | + | 0.318376i | \(0.103138\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 47.0255 | 1.70467 | 0.852336 | − | 0.522995i | \(-0.175185\pi\) | ||||
0.852336 | + | 0.522995i | \(0.175185\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 37.0279 | 1.33700 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.30314 | − | 5.72121i | 0.119114 | − | 0.206312i | −0.800303 | − | 0.599596i | \(-0.795328\pi\) |
0.919417 | + | 0.393284i | \(0.128661\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 9.54351 | − | 16.5298i | 0.343256 | − | 0.594537i | −0.641779 | − | 0.766889i | \(-0.721803\pi\) |
0.985035 | + | 0.172352i | \(0.0551368\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.77292 | − | 3.07078i | −0.0636850 | − | 0.110306i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −20.5081 | −0.734778 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −70.4217 | −2.51989 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.663069 | + | 1.14847i | 0.0236659 | + | 0.0409906i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −25.4503 | − | 44.0813i | −0.907207 | − | 1.57133i | −0.817927 | − | 0.575322i | \(-0.804877\pi\) |
−0.0892796 | − | 0.996007i | \(-0.528456\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 13.4552 | + | 23.3052i | 0.477810 | + | 0.827591i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 4.38727 | − | 7.59898i | 0.155405 | − | 0.269170i | −0.777801 | − | 0.628510i | \(-0.783665\pi\) |
0.933207 | + | 0.359341i | \(0.116998\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −8.03667 | − | 13.9199i | −0.284317 | − | 0.492451i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 9.37880 | − | 16.2446i | 0.330971 | − | 0.573258i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −4.75692 | + | 8.23923i | −0.167244 | + | 0.289676i | −0.937450 | − | 0.348120i | \(-0.886820\pi\) |
0.770206 | + | 0.637796i | \(0.220154\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −25.0118 | −0.878282 | −0.439141 | − | 0.898418i | \(-0.644717\pi\) | ||||
−0.439141 | + | 0.898418i | \(0.644717\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.796303 | + | 1.37924i | 0.0278933 | + | 0.0483126i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −22.8554 | + | 39.5867i | −0.799610 | + | 1.38496i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −17.7970 | + | 30.8253i | −0.621119 | + | 1.07581i | 0.368158 | + | 0.929763i | \(0.379988\pi\) |
−0.989278 | + | 0.146047i | \(0.953345\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.00000 | − | 13.8564i | −0.278862 | − | 0.483004i | 0.692240 | − | 0.721668i | \(-0.256624\pi\) |
−0.971102 | + | 0.238664i | \(0.923291\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 25.4531 | 0.885090 | 0.442545 | − | 0.896746i | \(-0.354076\pi\) | ||||
0.442545 | + | 0.896746i | \(0.354076\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.77292 | − | 15.1951i | 0.304696 | − | 0.527749i | −0.672498 | − | 0.740099i | \(-0.734778\pi\) |
0.977194 | + | 0.212350i | \(0.0681118\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.526955 | + | 0.912713i | −0.0182360 | + | 0.0315857i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 12.0562 | + | 20.8820i | 0.416227 | + | 0.720927i | 0.995556 | − | 0.0941668i | \(-0.0300187\pi\) |
−0.579329 | + | 0.815094i | \(0.696685\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 8.49837 | − | 14.7196i | 0.293047 | − | 0.507572i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1.29957 | + | 2.25093i | 0.0447067 | + | 0.0774342i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 17.0796 | + | 29.5828i | 0.585482 | + | 1.01408i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −16.2616 | − | 28.1659i | −0.556785 | − | 0.964381i | −0.997762 | − | 0.0668621i | \(-0.978701\pi\) |
0.440977 | − | 0.897518i | \(-0.354632\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0.599740 | 0.0204867 | 0.0102434 | − | 0.999948i | \(-0.496739\pi\) | ||||
0.0102434 | + | 0.999948i | \(0.496739\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −26.4347 | −0.901942 | −0.450971 | − | 0.892539i | \(-0.648922\pi\) | ||||
−0.450971 | + | 0.892539i | \(0.648922\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 9.92270 | + | 17.1866i | 0.337773 | + | 0.585039i | 0.984013 | − | 0.178094i | \(-0.0569932\pi\) |
−0.646241 | + | 0.763134i | \(0.723660\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.02859 | + | 5.24567i | −0.102975 | + | 0.178358i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 15.9520 | − | 27.6296i | 0.541134 | − | 0.937271i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.22545 | 0.109290 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 20.4703 | 0.691234 | 0.345617 | − | 0.938376i | \(-0.387670\pi\) | ||||
0.345617 | + | 0.938376i | \(0.387670\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 31.1683 | 1.05009 | 0.525043 | − | 0.851076i | \(-0.324049\pi\) | ||||
0.525043 | + | 0.851076i | \(0.324049\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.64187 | −0.0889060 | −0.0444530 | − | 0.999011i | \(-0.514154\pi\) | ||||
−0.0444530 | + | 0.999011i | \(0.514154\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 23.1650 | 0.777805 | 0.388902 | − | 0.921279i | \(-0.372854\pi\) | ||||
0.388902 | + | 0.921279i | \(0.372854\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −15.8845 | −0.531555 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.14132 | + | 1.97682i | −0.0381500 | + | 0.0660777i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.24269 | + | 2.15240i | −0.0414460 | + | 0.0717866i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.74596 | + | 3.02409i | 0.0581664 | + | 0.100747i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2.95898 | −0.0983599 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −50.0528 | −1.66198 | −0.830988 | − | 0.556290i | \(-0.812224\pi\) | ||||
−0.830988 | + | 0.556290i | \(0.812224\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −5.42231 | − | 9.39172i | −0.179649 | − | 0.311161i | 0.762111 | − | 0.647446i | \(-0.224163\pi\) |
−0.941760 | + | 0.336285i | \(0.890830\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 24.8646 | + | 43.0667i | 0.822897 | + | 1.42530i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.59549 | − | 9.69166i | −0.184578 | − | 0.319699i | 0.758856 | − | 0.651258i | \(-0.225759\pi\) |
−0.943434 | + | 0.331560i | \(0.892425\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −33.5679 | + | 58.1413i | −1.10490 | + | 1.91374i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.3759 | + | 19.7037i | 0.374038 | + | 0.647853i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 20.6478 | − | 35.7630i | 0.677431 | − | 1.17335i | −0.298321 | − | 0.954466i | \(-0.596427\pi\) |
0.975752 | − | 0.218879i | \(-0.0702401\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −2.26935 | + | 3.93063i | −0.0742156 | + | 0.128545i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −33.5620 | −1.09642 | −0.548211 | − | 0.836340i | \(-0.684691\pi\) | ||||
−0.548211 | + | 0.836340i | \(0.684691\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 25.2112 | + | 43.6671i | 0.821862 | + | 1.42351i | 0.904294 | + | 0.426911i | \(0.140398\pi\) |
−0.0824315 | + | 0.996597i | \(0.526269\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −20.7902 | + | 36.0096i | −0.677021 | + | 1.17263i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 10.1212 | − | 17.5304i | 0.328895 | − | 0.569662i | −0.653398 | − | 0.757014i | \(-0.726657\pi\) |
0.982293 | + | 0.187352i | \(0.0599905\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −8.94119 | − | 15.4866i | −0.290243 | − | 0.502716i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 29.3685 | 0.951340 | 0.475670 | − | 0.879624i | \(-0.342206\pi\) | ||||
0.475670 | + | 0.879624i | \(0.342206\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.57442 | + | 2.72698i | −0.0509470 | + | 0.0882429i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.2427 | − | 26.4011i | 0.491700 | − | 0.851649i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.33297 | + | 2.30878i | 0.0429099 | + | 0.0743222i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 15.2157 | − | 26.3544i | 0.489305 | − | 0.847501i | −0.510619 | − | 0.859807i | \(-0.670584\pi\) |
0.999924 | + | 0.0123057i | \(0.00391714\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 3.59329 | + | 6.22377i | 0.115314 | + | 0.199730i | 0.917905 | − | 0.396799i | \(-0.129879\pi\) |
−0.802591 | + | 0.596530i | \(0.796546\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 14.2713 | + | 24.7186i | 0.456579 | + | 0.790818i | 0.998777 | − | 0.0494328i | \(-0.0157414\pi\) |
−0.542199 | + | 0.840250i | \(0.682408\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −19.1888 | − | 33.2359i | −0.613276 | − | 1.06223i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −4.41642 | −0.140862 | −0.0704310 | − | 0.997517i | \(-0.522437\pi\) | ||||
−0.0704310 | + | 0.997517i | \(0.522437\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.0344801 | −0.00109863 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 46.3396 | + | 80.2625i | 1.47351 | + | 2.55220i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2.90671 | − | 5.03456i | 0.0923345 | − | 0.159928i | −0.816159 | − | 0.577828i | \(-0.803900\pi\) |
0.908493 | + | 0.417900i | \(0.137234\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.32777 | + | 4.03182i | −0.0737953 | + | 0.127817i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −52.6408 | −1.66715 | −0.833575 | − | 0.552407i | \(-0.813710\pi\) | ||||
−0.833575 | + | 0.552407i | \(0.813710\pi\) | |||||||
\(998\) | 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 \(a_p\))