Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [784,2,Mod(111,784)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(784, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("784.111");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 784 = 2^{4} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 784.bb (of order \(14\), degree \(6\), 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: | \(6.26027151847\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 111.12 | ||
Character | \(\chi\) | \(=\) | 784.111 |
Dual form | 784.2.bb.b.671.12 |
$q$-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 \(\left(\mathbb{Z}/784\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(687\) | \(689\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{11}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.0556550 | + | 0.0697892i | 0.0321324 | + | 0.0402928i | 0.797638 | − | 0.603136i | \(-0.206083\pi\) |
−0.765506 | + | 0.643429i | \(0.777511\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.27604 | + | 2.61256i | −1.46509 | + | 1.16837i | −0.514678 | + | 0.857384i | \(0.672088\pi\) |
−0.950414 | + | 0.310988i | \(0.899340\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.51276 | + | 2.17061i | −0.571771 | + | 0.820413i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.665790 | − | 2.91702i | 0.221930 | − | 0.972338i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.29768 | − | 0.296186i | 0.391264 | − | 0.0893035i | −0.0223629 | − | 0.999750i | \(-0.507119\pi\) |
0.413627 | + | 0.910446i | \(0.364262\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.55477 | − | 0.354867i | 0.431216 | − | 0.0984223i | −0.00140297 | − | 0.999999i | \(-0.500447\pi\) |
0.432619 | + | 0.901577i | \(0.357589\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.364657 | − | 0.0832305i | −0.0941539 | − | 0.0214900i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.356067 | + | 0.739382i | −0.0863590 | + | 0.179326i | −0.939676 | − | 0.342067i | \(-0.888873\pi\) |
0.853317 | + | 0.521393i | \(0.174587\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.85496 | −1.34322 | −0.671609 | − | 0.740905i | \(-0.734397\pi\) | ||||
−0.671609 | + | 0.740905i | \(0.734397\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.235678 | + | 0.0152307i | −0.0514292 | + | 0.00332361i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.52265 | − | 3.16182i | −0.317495 | − | 0.659285i | 0.679752 | − | 0.733442i | \(-0.262088\pi\) |
−0.997247 | + | 0.0741573i | \(0.976373\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.79440 | − | 12.2431i | 0.558880 | − | 2.44861i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.481902 | − | 0.232072i | 0.0927421 | − | 0.0446623i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.642325 | + | 0.309328i | 0.119277 | + | 0.0574407i | 0.492571 | − | 0.870273i | \(-0.336057\pi\) |
−0.373294 | + | 0.927713i | \(0.621772\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −9.57067 | −1.71894 | −0.859472 | − | 0.511184i | \(-0.829207\pi\) | ||||
−0.859472 | + | 0.511184i | \(0.829207\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.0928928 | + | 0.0740795i | 0.0161706 | + | 0.0128956i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.714960 | − | 11.0632i | −0.120850 | − | 1.87002i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.49018 | − | 2.16236i | −0.738181 | − | 0.355489i | 0.0267149 | − | 0.999643i | \(-0.491495\pi\) |
−0.764896 | + | 0.644154i | \(0.777210\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.111297 | + | 0.0887562i | 0.0178217 | + | 0.0142124i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.02209 | − | 6.39740i | 1.25284 | − | 0.999107i | 0.253344 | − | 0.967376i | \(-0.418470\pi\) |
0.999496 | − | 0.0317305i | \(-0.0101018\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.98247 | − | 3.97338i | −0.759819 | − | 0.605935i | 0.165022 | − | 0.986290i | \(-0.447231\pi\) |
−0.924841 | + | 0.380354i | \(0.875802\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.43972 | + | 11.2957i | 0.810905 | + | 1.68386i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.26804 | − | 9.93692i | −0.330827 | − | 1.44945i | −0.817532 | − | 0.575882i | \(-0.804659\pi\) |
0.486705 | − | 0.873566i | \(-0.338199\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.42309 | − | 6.56724i | −0.346155 | − | 0.938177i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.0714178 | + | 0.0163006i | −0.0100005 | + | 0.00228255i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.11790 | − | 2.46465i | 0.702998 | − | 0.338546i | −0.0480027 | − | 0.998847i | \(-0.515286\pi\) |
0.751001 | + | 0.660301i | \(0.229571\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.47744 | + | 4.36057i | −0.468898 | + | 0.587980i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.325858 | − | 0.408613i | −0.0431609 | − | 0.0541221i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.50280 | + | 3.13841i | −0.325836 | + | 0.408586i | −0.917587 | − | 0.397535i | \(-0.869866\pi\) |
0.591751 | + | 0.806121i | \(0.298437\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.17258 | + | 8.66445i | −0.534244 | + | 1.10937i | 0.442857 | + | 0.896592i | \(0.353965\pi\) |
−0.977101 | + | 0.212776i | \(0.931749\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 5.32452 | + | 5.85793i | 0.670826 | + | 0.738029i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −4.16639 | + | 5.22449i | −0.516778 | + | 0.648019i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 12.7266i | 1.55480i | 0.629004 | + | 0.777402i | \(0.283463\pi\) | ||||
−0.629004 | + | 0.777402i | \(0.716537\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.135918 | − | 0.282236i | 0.0163626 | − | 0.0339772i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.72479 | + | 7.73461i | 0.442052 | + | 0.917930i | 0.996330 | + | 0.0855983i | \(0.0272802\pi\) |
−0.554278 | + | 0.832332i | \(0.687006\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.61647 | + | 1.05368i | 0.540317 | + | 0.123324i | 0.483966 | − | 0.875087i | \(-0.339196\pi\) |
0.0563519 | + | 0.998411i | \(0.482053\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.00996 | − | 0.486369i | 0.116620 | − | 0.0561611i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.32017 | + | 3.26481i | −0.150448 | + | 0.372059i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 3.67446i | − | 0.413409i | −0.978403 | − | 0.206704i | \(-0.933726\pi\) | ||
0.978403 | − | 0.206704i | \(-0.0662738\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.04417 | − | 3.87387i | −0.893796 | − | 0.430430i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −2.48373 | + | 10.8819i | −0.272625 | + | 1.19445i | 0.634277 | + | 0.773106i | \(0.281298\pi\) |
−0.906902 | + | 0.421342i | \(0.861559\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.765185 | − | 3.35249i | −0.0829959 | − | 0.363629i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.0141609 | + | 0.0620430i | 0.00151821 | + | 0.00665171i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −13.2955 | − | 3.03460i | −1.40932 | − | 0.321667i | −0.550878 | − | 0.834586i | \(-0.685707\pi\) |
−0.858437 | + | 0.512918i | \(0.828564\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.58173 | + | 3.91163i | −0.165810 | + | 0.410051i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.532656 | − | 0.667929i | −0.0552338 | − | 0.0692610i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 19.1811 | − | 15.2964i | 1.96794 | − | 1.56938i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 9.96407i | 1.01170i | 0.862622 | + | 0.505849i | \(0.168821\pi\) | ||||
−0.862622 | + | 0.505849i | \(0.831179\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 3.98254i | − | 0.400260i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.24723 | − | 4.18453i | 0.522119 | − | 0.416376i | −0.326646 | − | 0.945147i | \(-0.605918\pi\) |
0.848765 | + | 0.528771i | \(0.177347\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.01325 | + | 1.27057i | 0.0998382 | + | 0.125193i | 0.829241 | − | 0.558892i | \(-0.188773\pi\) |
−0.729402 | + | 0.684085i | \(0.760202\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.732300 | − | 0.665619i | 0.0714652 | − | 0.0649578i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.82923 | + | 0.873996i | 0.370185 | + | 0.0844923i | 0.403566 | − | 0.914950i | \(-0.367770\pi\) |
−0.0333813 | + | 0.999443i | \(0.510628\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.54200 | − | 6.75594i | −0.147697 | − | 0.647102i | −0.993522 | − | 0.113641i | \(-0.963749\pi\) |
0.845825 | − | 0.533460i | \(-0.179109\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.0989919 | − | 0.433712i | −0.00939590 | − | 0.0411661i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.50661 | − | 6.60089i | 0.141730 | − | 0.620960i | −0.853303 | − | 0.521415i | \(-0.825404\pi\) |
0.995033 | − | 0.0995444i | \(-0.0317385\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 13.2487 | + | 6.38024i | 1.23545 | + | 0.594961i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | − | 4.77156i | − | 0.441131i | ||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.06626 | − | 1.89139i | −0.0977441 | − | 0.173384i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.31442 | + | 4.00401i | −0.755856 | + | 0.364001i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.892939 | + | 0.203808i | 0.0805136 | + | 0.0183767i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 13.7408 | + | 28.5331i | 1.22902 | + | 2.55208i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.60457 | + | 11.6380i | −0.497325 | + | 1.03271i | 0.489663 | + | 0.871912i | \(0.337120\pi\) |
−0.986988 | + | 0.160794i | \(0.948594\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | − | 0.568861i | − | 0.0500854i | ||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.89463 | − | 3.62975i | 0.252905 | − | 0.317133i | −0.639130 | − | 0.769099i | \(-0.720706\pi\) |
0.892035 | + | 0.451965i | \(0.149277\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.85717 | − | 12.7088i | 0.768014 | − | 1.10199i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.972432 | + | 2.01928i | −0.0836936 | + | 0.173792i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2.72069 | + | 3.41164i | −0.232444 | + | 0.291476i | −0.884350 | − | 0.466824i | \(-0.845398\pi\) |
0.651906 | + | 0.758300i | \(0.273970\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.0776 | − | 16.3988i | −1.10923 | − | 1.39093i | −0.911810 | − | 0.410612i | \(-0.865315\pi\) |
−0.197420 | − | 0.980319i | \(-0.563256\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.567262 | − | 0.711324i | 0.0477721 | − | 0.0599043i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.91248 | − | 0.921004i | 0.159930 | − | 0.0770182i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.91242 | + | 0.664742i | −0.241864 | + | 0.0552038i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.323465 | − | 0.534605i | 0.0266790 | − | 0.0440935i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.77038 | + | 12.1378i | 0.226958 | + | 0.994369i | 0.952104 | + | 0.305774i | \(0.0989152\pi\) |
−0.725146 | + | 0.688595i | \(0.758228\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.09252 | − | 14.7278i | −0.577181 | − | 1.19853i | −0.961366 | − | 0.275272i | \(-0.911232\pi\) |
0.384185 | − | 0.923256i | \(-0.374482\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.91972 | + | 1.53093i | 0.155200 | + | 0.123768i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 31.3539 | − | 25.0039i | 2.51841 | − | 2.00836i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.19837 | + | 2.55061i | 0.255257 | + | 0.203561i | 0.742755 | − | 0.669563i | \(-0.233519\pi\) |
−0.487498 | + | 0.873124i | \(0.662090\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.456843 | + | 0.220004i | 0.0362300 | + | 0.0174475i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 9.16649 | + | 1.47801i | 0.722421 | + | 0.116483i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −9.55540 | − | 7.62018i | −0.748437 | − | 0.596859i | 0.173211 | − | 0.984885i | \(-0.444586\pi\) |
−0.921648 | + | 0.388026i | \(0.873157\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.497858 | −0.0387582 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 3.51842 | + | 1.69438i | 0.272264 | + | 0.131115i | 0.565034 | − | 0.825067i | \(-0.308863\pi\) |
−0.292771 | + | 0.956183i | \(0.594577\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.42121 | + | 4.53701i | −0.724708 | + | 0.349001i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.89817 | + | 17.0790i | −0.298100 | + | 1.30606i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.16029 | − | 2.40937i | −0.0882153 | − | 0.183181i | 0.852194 | − | 0.523226i | \(-0.175272\pi\) |
−0.940409 | + | 0.340045i | \(0.889558\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 22.3477 | + | 24.5864i | 1.68932 | + | 1.85856i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.358320 | −0.0269330 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −7.87798 | + | 16.3588i | −0.588828 | + | 1.22271i | 0.367392 | + | 0.930066i | \(0.380251\pi\) |
−0.956220 | + | 0.292648i | \(0.905464\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −18.4302 | − | 4.20658i | −1.36991 | − | 0.312673i | −0.526605 | − | 0.850110i | \(-0.676535\pi\) |
−0.843304 | + | 0.537437i | \(0.819393\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.836909 | + | 0.191019i | −0.0618661 | + | 0.0141205i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 20.3593 | − | 4.64688i | 1.49685 | − | 0.341645i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.243066 | + | 1.06494i | −0.0177747 | + | 0.0778761i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.225267 | + | 1.39709i | −0.0163858 | + | 0.101623i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −9.80154 | + | 7.81647i | −0.709215 | + | 0.565580i | −0.910278 | − | 0.413998i | \(-0.864132\pi\) |
0.201063 | + | 0.979578i | \(0.435560\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.38078 | + | 11.7631i | 0.675243 | + | 0.846728i | 0.994906 | − | 0.100803i | \(-0.0321412\pi\) |
−0.319663 | + | 0.947531i | \(0.603570\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.596494 | −0.0427158 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −17.4994 | −1.24678 | −0.623389 | − | 0.781912i | \(-0.714245\pi\) | ||||
−0.623389 | + | 0.781912i | \(0.714245\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.17071 | + | 5.22991i | 0.295654 | + | 0.370738i | 0.907365 | − | 0.420343i | \(-0.138090\pi\) |
−0.611712 | + | 0.791081i | \(0.709519\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.888180 | + | 0.708300i | −0.0626474 | + | 0.0499597i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1.64312 | + | 0.926298i | −0.115324 | + | 0.0650134i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −9.56714 | + | 41.9164i | −0.668198 | + | 2.92757i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −10.2368 | + | 2.33649i | −0.711510 | + | 0.162397i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −7.59784 | + | 1.73416i | −0.525553 | + | 0.119954i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 13.1756 | + | 3.00724i | 0.907043 | + | 0.207027i | 0.650500 | − | 0.759506i | \(-0.274559\pi\) |
0.256543 | + | 0.966533i | \(0.417416\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.332489 | + | 0.690420i | −0.0227818 | + | 0.0473068i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 26.7035 | 1.82116 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 14.4782 | − | 20.7742i | 0.982842 | − | 1.41024i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.183395 | + | 0.380823i | 0.0123927 | + | 0.0257336i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.291222 | + | 1.27593i | −0.0195897 | + | 0.0858281i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 18.9538 | − | 9.12765i | 1.26924 | − | 0.611233i | 0.326635 | − | 0.945150i | \(-0.394085\pi\) |
0.942602 | + | 0.333918i | \(0.108371\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −33.8527 | − | 16.3026i | −2.25685 | − | 1.08684i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 16.2427 | 1.07807 | 0.539034 | − | 0.842284i | \(-0.318789\pi\) | ||||
0.539034 | + | 0.842284i | \(0.318789\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.98874 | − | 5.57333i | −0.461829 | − | 0.368296i | 0.364761 | − | 0.931101i | \(-0.381151\pi\) |
−0.826590 | + | 0.562805i | \(0.809722\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.301323 | + | 0.0895691i | −0.0198256 | + | 0.00589321i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 6.01234 | + | 2.89539i | 0.393882 | + | 0.189683i | 0.620332 | − | 0.784339i | \(-0.286998\pi\) |
−0.226450 | + | 0.974023i | \(0.572712\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 33.3910 | + | 26.6284i | 2.17819 | + | 1.73705i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.256437 | − | 0.204502i | 0.0166574 | − | 0.0132838i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −15.4166 | − | 12.2943i | −0.997216 | − | 0.795254i | −0.0183661 | − | 0.999831i | \(-0.505846\pi\) |
−0.978850 | + | 0.204578i | \(0.934418\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.69437 | − | 13.9010i | −0.431223 | − | 0.895443i | −0.997462 | − | 0.0712021i | \(-0.977316\pi\) |
0.566239 | − | 0.824241i | \(-0.308398\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.534404 | − | 2.34138i | −0.0342821 | − | 0.150199i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 25.0954 | + | 15.1841i | 1.60329 | + | 0.970077i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.10312 | + | 2.07773i | −0.579218 | + | 0.132203i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.897674 | + | 0.432297i | −0.0568878 | + | 0.0273957i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −14.5845 | + | 18.2883i | −0.920563 | + | 1.15435i | 0.0670988 | + | 0.997746i | \(0.478626\pi\) |
−0.987662 | + | 0.156603i | \(0.949946\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.91240 | − | 3.65203i | −0.183101 | − | 0.229601i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.191381 | − | 0.239985i | 0.0119848 | − | 0.0150284i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.92857 | − | 8.15776i | 0.245058 | − | 0.508867i | −0.741768 | − | 0.670657i | \(-0.766012\pi\) |
0.986825 | + | 0.161790i | \(0.0517266\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 11.4862 | − | 6.47529i | 0.713719 | − | 0.402355i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.32997 | − | 1.66773i | 0.0823229 | − | 0.103230i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | − | 20.8986i | − | 1.28866i | −0.764747 | − | 0.644330i | \(-0.777136\pi\) | ||
0.764747 | − | 0.644330i | \(-0.222864\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −10.3274 | + | 21.4451i | −0.634409 | + | 1.31736i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.528177 | − | 1.09677i | −0.0323239 | − | 0.0671212i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 6.32829 | + | 1.44439i | 0.385842 | + | 0.0880660i | 0.411042 | − | 0.911616i | \(-0.365165\pi\) |
−0.0251996 | + | 0.999682i | \(0.508022\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.23226 | + | 4.44602i | −0.560820 | + | 0.270077i | −0.692745 | − | 0.721183i | \(-0.743599\pi\) |
0.131924 | + | 0.991260i | \(0.457884\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.361021 | + | 0.107315i | −0.0218500 | + | 0.00649497i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | − | 16.7152i | − | 1.00796i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.15247 | − | 2.96287i | −0.369666 | − | 0.178022i | 0.239822 | − | 0.970817i | \(-0.422911\pi\) |
−0.609488 | + | 0.792795i | \(0.708625\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −6.37205 | + | 27.9178i | −0.381485 | + | 1.67139i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.15102 | − | 18.1868i | −0.247629 | − | 1.08493i | −0.933885 | − | 0.357574i | \(-0.883604\pi\) |
0.686256 | − | 0.727360i | \(-0.259253\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.53217 | − | 15.4754i | −0.209966 | − | 0.919920i | −0.964588 | − | 0.263761i | \(-0.915037\pi\) |
0.754622 | − | 0.656159i | \(-0.227820\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.13505 | + | 0.487311i | 0.126469 | + | 0.0288658i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.75073 | + | 27.0906i | 0.103342 | + | 1.59911i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 10.1794 | + | 12.7646i | 0.598790 | + | 0.750859i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.695385 | + | 0.554551i | −0.0407642 | + | 0.0325083i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 13.3055i | 0.777318i | 0.921382 | + | 0.388659i | \(0.127062\pi\) | ||||
−0.921382 | + | 0.388659i | \(0.872938\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 16.8203i | − | 0.979313i | ||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.556617 | − | 0.443887i | 0.0322982 | − | 0.0257569i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −3.48940 | − | 4.37557i | −0.201797 | − | 0.253046i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.1620 | − | 4.80419i | 0.931560 | − | 0.276909i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.584069 | + | 0.133310i | 0.0335539 | + | 0.00765846i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −8.96682 | − | 39.2862i | −0.513439 | − | 2.24952i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.39121 | − | 10.4766i | −0.136473 | − | 0.597929i | −0.996194 | − | 0.0871641i | \(-0.972220\pi\) |
0.859721 | − | 0.510764i | \(-0.170638\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.0322799 | + | 0.141427i | −0.00183634 | + | 0.00804552i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −21.2094 | − | 10.2139i | −1.20267 | − | 0.579177i | −0.278236 | − | 0.960513i | \(-0.589750\pi\) |
−0.924437 | + | 0.381336i | \(0.875464\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 24.8263i | 1.40326i | 0.712540 | + | 0.701632i | \(0.247545\pi\) | ||||
−0.712540 | + | 0.701632i | \(0.752455\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −32.7475 | − | 5.28021i | −1.84511 | − | 0.297506i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 15.3238 | − | 7.37957i | 0.860673 | − | 0.414478i | 0.0491447 | − | 0.998792i | \(-0.484350\pi\) |
0.811528 | + | 0.584314i | \(0.198636\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.925149 | + | 0.211159i | 0.0517984 | + | 0.0118226i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.152120 | + | 0.315881i | 0.00849052 | + | 0.0176307i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.08476 | − | 4.32905i | 0.115999 | − | 0.240875i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 20.0268i | − | 1.11089i | ||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.385672 | − | 0.483617i | 0.0213277 | − | 0.0267441i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 25.0002 | + | 10.1092i | 1.37830 | + | 0.557338i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.9830 | + | 22.8065i | −0.603681 | + | 1.25356i | 0.345379 | + | 0.938463i | \(0.387750\pi\) |
−0.949061 | + | 0.315094i | \(0.897964\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −9.29714 | + | 11.6583i | −0.509480 | + | 0.638868i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −33.2490 | − | 41.6930i | −1.81659 | − | 2.27793i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 17.2179 | − | 21.5906i | 0.937920 | − | 1.17611i | −0.0462580 | − | 0.998930i | \(-0.514730\pi\) |
0.984178 | − | 0.177185i | \(-0.0566989\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.544521 | − | 0.262228i | 0.0295743 | − | 0.0142422i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −12.4196 | + | 2.83470i | −0.672561 | + | 0.153508i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.9205 | + | 4.67511i | 0.967615 | + | 0.252432i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.292085 | + | 1.27971i | 0.0157253 | + | 0.0688973i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −13.2493 | − | 27.5124i | −0.711258 | − | 1.47694i | −0.871774 | − | 0.489909i | \(-0.837030\pi\) |
0.160516 | − | 0.987033i | \(-0.448684\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.66464 | − | 2.92245i | −0.196164 | − | 0.156435i | 0.520482 | − | 0.853872i | \(-0.325752\pi\) |
−0.716646 | + | 0.697437i | \(0.754324\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.666894 | − | 0.531830i | 0.0355962 | − | 0.0283870i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 12.0153 | + | 9.58184i | 0.639507 | + | 0.509990i | 0.888715 | − | 0.458460i | \(-0.151599\pi\) |
−0.249208 | + | 0.968450i | \(0.580170\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −32.4097 | − | 15.6077i | −1.72013 | − | 0.828371i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.0726559 | − | 0.179679i | 0.00384536 | − | 0.00950963i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 8.10713 | + | 6.46522i | 0.427878 | + | 0.341221i | 0.813632 | − | 0.581380i | \(-0.197487\pi\) |
−0.385754 | + | 0.922602i | \(0.626059\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.2805 | 0.804237 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.742176 | − | 0.357413i | −0.0389541 | − | 0.0187593i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −17.8766 | + | 8.60890i | −0.935703 | + | 0.450611i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.15917 | + | 18.2225i | −0.217107 | + | 0.951207i | 0.742496 | + | 0.669850i | \(0.233642\pi\) |
−0.959603 | + | 0.281357i | \(0.909215\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −13.3203 | − | 27.6599i | −0.693427 | − | 1.43992i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.39239 | + | 14.8374i | −0.124206 | + | 0.770320i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −10.9832 | −0.568687 | −0.284343 | − | 0.958723i | \(-0.591776\pi\) | ||||
−0.284343 | + | 0.958723i | \(0.591776\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.22656 | + | 2.54697i | −0.0633391 | + | 0.131525i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.10844 | + | 0.252994i | 0.0570876 | + | 0.0130299i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.37177 | − | 0.997828i | 0.224563 | − | 0.0512550i | −0.108759 | − | 0.994068i | \(-0.534688\pi\) |
0.333322 | + | 0.942813i | \(0.391830\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.12413 | + | 0.256575i | −0.0575909 | + | 0.0131447i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 4.25886 | − | 18.6593i | 0.217618 | − | 0.953445i | −0.741615 | − | 0.670826i | \(-0.765940\pi\) |
0.959232 | − | 0.282619i | \(-0.0912031\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.20455 | − | 14.1447i | −0.214284 | − | 0.720880i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −14.9077 | + | 11.8885i | −0.757801 | + | 0.604326i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −10.5715 | − | 13.2562i | −0.535995 | − | 0.672116i | 0.437924 | − | 0.899012i | \(-0.355714\pi\) |
−0.973919 | + | 0.226896i | \(0.927142\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.87996 | 0.145646 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.414418 | 0.0209046 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 9.59973 | + | 12.0377i | 0.483015 | + | 0.605682i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10.4752 | + | 8.35372i | −0.525737 | + | 0.419261i | −0.850060 | − | 0.526685i | \(-0.823435\pi\) |
0.324324 | + | 0.945946i | \(0.394863\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.37988 | − | 0.0891751i | 0.0690806 | − | 0.00446434i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.92245 | − | 17.1854i | 0.195878 | − | 0.858196i | −0.777481 | − | 0.628907i | \(-0.783503\pi\) |
0.973358 | − | 0.229289i | \(-0.0736402\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −14.8802 | + | 3.39631i | −0.741236 | + | 0.169182i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 36.4737 | − | 8.32489i | 1.81240 | − | 0.413667i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −6.46726 | − | 1.47611i | −0.320570 | − | 0.0731681i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.14500 | + | 8.60718i | −0.204957 | + | 0.425597i | −0.977956 | − | 0.208809i | \(-0.933041\pi\) |
0.772999 | + | 0.634407i | \(0.218756\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.389516 | −0.0192134 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −3.02611 | − | 10.1803i | −0.148905 | − | 0.500938i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −20.2929 | − | 42.1386i | −0.996139 | − | 2.06850i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.416625 | − | 1.82535i | 0.0204022 | − | 0.0893880i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 27.0650 | − | 13.0338i | 1.32221 | − | 0.636743i | 0.366326 | − | 0.930487i | \(-0.380615\pi\) |
0.955884 | + | 0.293744i | \(0.0949012\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.09208 | − | 3.89694i | −0.394384 | − | 0.189925i | 0.226172 | − | 0.974087i | \(-0.427379\pi\) |
−0.620556 | + | 0.784162i | \(0.713093\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −30.4962 | −1.48278 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 8.05731 | + | 6.42549i | 0.390837 | + | 0.311682i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.4950 | − | 22.1643i | −0.604675 | − | 1.07261i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.170716 | + | 0.0822123i | 0.00824222 | + | 0.00396925i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 23.9689 | + | 19.1145i | 1.15454 | + | 0.920715i | 0.997758 | − | 0.0669186i | \(-0.0213168\pi\) |
0.156781 | + | 0.987633i | \(0.449888\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.9560 | − | 10.3321i | 0.622628 | − | 0.496529i | −0.260616 | − | 0.965442i | \(-0.583926\pi\) |
0.883244 | + | 0.468913i | \(0.155354\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.208483 | − | 0.166259i | −0.00999598 | − | 0.00797153i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 8.91506 | + | 18.5123i | 0.426465 | + | 0.885564i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.23513 | + | 14.1740i | 0.154404 | + | 0.676490i | 0.991573 | + | 0.129546i | \(0.0413520\pi\) |
−0.837169 | + | 0.546944i | \(0.815791\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −20.7700 | + | 2.69579i | −0.989048 | + | 0.128371i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 12.2818 | − | 2.80324i | 0.583526 | − | 0.133186i | 0.0794401 | − | 0.996840i | \(-0.474687\pi\) |
0.504086 | + | 0.863654i | \(0.331830\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 51.4846 | − | 24.7937i | 2.44060 | − | 1.17533i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.692903 | + | 0.868873i | −0.0327732 | + | 0.0410963i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 14.2791 | + | 17.9054i | 0.673871 | + | 0.845008i | 0.994774 | − | 0.102104i | \(-0.0325575\pi\) |
−0.320902 | + | 0.947112i | \(0.603986\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.51526 | − | 10.6778i | 0.400968 | − | 0.502798i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.633104 | − | 1.31465i | 0.0297458 | − | 0.0617679i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.03756 | − | 16.9470i | −0.236164 | − | 0.794489i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −24.6134 | + | 30.8643i | −1.15137 | + | 1.44377i | −0.275445 | + | 0.961317i | \(0.588825\pi\) |
−0.875922 | + | 0.482452i | \(0.839746\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.438943i | 0.0204881i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.98370 | + | 4.11919i | −0.0923900 | + | 0.191850i | −0.942043 | − | 0.335493i | \(-0.891097\pi\) |
0.849653 | + | 0.527342i | \(0.176812\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 8.40671 | + | 17.4567i | 0.390693 | + | 0.811282i | 0.999834 | + | 0.0182203i | \(0.00580001\pi\) |
−0.609141 | + | 0.793062i | \(0.708486\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 3.49001 | + | 0.796572i | 0.161845 | + | 0.0369401i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −18.3849 | + | 8.85370i | −0.850752 | + | 0.409700i | −0.807856 | − | 0.589379i | \(-0.799372\pi\) |
−0.0428950 | + | 0.999080i | \(0.513658\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −27.6245 | − | 19.2524i | −1.27558 | − | 0.888992i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.365166i | 0.0168259i | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −7.64249 | − | 3.68043i | −0.351402 | − | 0.169226i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −16.3611 | + | 71.6826i | −0.750699 | + | 3.28903i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.78198 | − | 16.5699i | −0.173165 | − | 0.758686i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 5.74876 | + | 25.1870i | 0.262668 | + | 1.15082i | 0.918345 | + | 0.395781i | \(0.129526\pi\) |
−0.655677 | + | 0.755041i | \(0.727617\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.74856 | − | 1.76856i | −0.353304 | − | 0.0806393i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.407012 | + | 0.721980i | 0.0185197 | + | 0.0328512i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −26.0317 | − | 32.6427i | −1.18204 | − | 1.48223i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 22.3637 | − | 17.8345i | 1.01340 | − | 0.808156i | 0.0318713 | − | 0.999492i | \(-0.489853\pi\) |
0.981525 | + | 0.191336i | \(0.0612819\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | − | 1.09097i | − | 0.0493351i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 2.41607i | − | 0.109036i | −0.998513 | − | 0.0545179i | \(-0.982638\pi\) | ||
0.998513 | − | 0.0545179i | \(-0.0173622\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.457422 | + | 0.364782i | −0.0206013 | + | 0.0164290i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 10.4046 | + | 13.0470i | 0.467653 | + | 0.586418i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −22.4236 | − | 3.61558i | −1.00583 | − | 0.162181i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.40569 | + | 0.320839i | 0.0629272 | + | 0.0143627i | 0.253869 | − | 0.967239i | \(-0.418297\pi\) |
−0.190941 | + | 0.981601i | \(0.561154\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.0775683 | + | 0.339849i | 0.00346549 | + | 0.0151833i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −3.07606 | − | 13.4771i | −0.137155 | − | 0.600913i | −0.996052 | − | 0.0887664i | \(-0.971708\pi\) |
0.858898 | − | 0.512147i | \(-0.171150\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.25784 | + | 27.4174i | −0.278470 | + | 1.22006i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.840972 | − | 0.404991i | −0.0373489 | − | 0.0179863i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | − | 4.25026i | − | 0.188389i | −0.995554 | − | 0.0941947i | \(-0.969972\pi\) | ||
0.995554 | − | 0.0941947i | \(-0.0300276\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.27077 | + | 8.42659i | −0.410115 | + | 0.372770i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −2.82152 | + | 1.35877i | −0.124573 | + | 0.0599912i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −6.63888 | − | 1.51528i | −0.292544 | − | 0.0667713i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.88636 | − | 12.2231i | −0.258882 | − | 0.537573i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.103572 | − | 0.215069i | 0.00454630 | − | 0.00944049i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 41.1357i | 1.80219i | 0.433626 | + | 0.901093i | \(0.357234\pi\) | ||||
−0.433626 | + | 0.901093i | \(0.642766\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 19.8003 | − | 24.8288i | 0.865807 | − | 1.08569i | −0.129752 | − | 0.991546i | \(-0.541418\pi\) |
0.995559 | − | 0.0941407i | \(-0.0300103\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.472108 | + | 2.92798i | −0.0206045 | + | 0.127788i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 3.40780 | − | 7.07638i | 0.148446 | − | 0.308252i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.66163 | − | 8.35342i | 0.289636 | − | 0.363192i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 7.48844 | + | 9.39021i | 0.324971 | + | 0.407501i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 10.2023 | − | 12.7933i | 0.441911 | − | 0.554139i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −14.8281 | + | 7.14082i | −0.641074 | + | 0.308725i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.58012 | + | 0.360651i | −0.0681871 | + | 0.0155633i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −5.08951 | − | 7.80447i | −0.219221 | − | 0.336162i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.37088 | − | 6.00621i | −0.0589387 | − | 0.258227i | 0.936871 | − | 0.349675i | \(-0.113708\pi\) |
−0.995810 | + | 0.0914473i | \(0.970851\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.732162 | − | 1.52035i | −0.0314201 | − | 0.0652444i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 22.7019 | + | 18.1042i | 0.972444 | + | 0.775499i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −23.6635 | + | 18.8710i | −1.01178 | + | 0.806865i | −0.981264 | − | 0.192670i | \(-0.938285\pi\) |
−0.0305127 | + | 0.999534i | \(0.509714\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 22.4963 | + | 17.9402i | 0.960117 | + | 0.765668i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.76079 | − | 1.81110i | −0.160215 | − | 0.0771554i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.97581 | + | 5.55859i | 0.339166 | + | 0.236375i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.45740 | + | 1.16224i | 0.0618632 | + | 0.0493342i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −39.6120 | −1.67842 | −0.839208 | − | 0.543811i | \(-0.816981\pi\) | ||||
−0.839208 | + | 0.543811i | \(0.816981\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.15662 | − | 4.40960i | −0.387284 | − | 0.186506i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.0878491 | + | 0.0423059i | −0.00370899 | + | 0.00178616i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 8.68269 | − | 38.0414i | 0.365932 | − | 1.60325i | −0.371903 | − | 0.928271i | \(-0.621295\pi\) |
0.737835 | − | 0.674981i | \(-0.235848\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 12.3095 | + | 25.5609i | 0.517864 | + | 1.07536i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 20.5776 | − | 11.6005i | 0.864177 | − | 0.487175i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 26.7518 | 1.12149 | 0.560747 | − | 0.827987i | \(-0.310514\pi\) | ||||
0.560747 | + | 0.827987i | \(0.310514\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.88230 | + | 18.4443i | −0.371713 | + | 0.771870i | −0.999981 | − | 0.00612706i | \(-0.998050\pi\) |
0.628268 | + | 0.777997i | \(0.283764\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −1.09101 | − | 0.249016i | −0.0455776 | − | 0.0104028i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −42.9653 | + | 9.80655i | −1.79178 | + | 0.408961i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.84383 | − | 1.79030i | 0.326543 | − | 0.0745313i | −0.0561069 | − | 0.998425i | \(-0.517869\pi\) |
0.382650 | + | 0.923894i | \(0.375012\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.298851 | + | 1.30935i | −0.0124198 | + | 0.0544149i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −19.8631 | − | 21.8530i | −0.824062 | − | 0.906616i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5.91139 | − | 4.71417i | 0.244825 | − | 0.195241i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 12.4660 | + | 15.6318i | 0.515405 | + | 0.646297i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.31024 | −0.177902 | −0.0889512 | − | 0.996036i | \(-0.528352\pi\) | ||||
−0.0889512 | + | 0.996036i | \(0.528352\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 56.0359 | 2.30892 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.973927 | − | 1.22127i | −0.0400620 | − | 0.0502362i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −23.8170 | + | 18.9934i | −0.978047 | + | 0.779967i | −0.975493 | − | 0.220030i | \(-0.929384\pi\) |
−0.00255407 | + | 0.999997i | \(0.500813\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.43450 | + | 3.41062i | 0.345781 | + | 0.139822i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.132870 | + | 0.582141i | −0.00543800 | + | 0.0238254i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 7.23546 | − | 1.65145i | 0.295633 | − | 0.0674762i | −0.0721321 | − | 0.997395i | \(-0.522980\pi\) |
0.367765 | + | 0.929919i | \(0.380123\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.60432 | − | 1.50739i | 0.269396 | − | 0.0614879i | −0.0856889 | − | 0.996322i | \(-0.527309\pi\) |
0.355085 | + | 0.934834i | \(0.384452\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 37.1237 | + | 8.47325i | 1.51180 | + | 0.345058i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 16.7777 | − | 34.8392i | 0.682110 | − | 1.41642i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −10.5994 | −0.430218 | −0.215109 | − | 0.976590i | \(-0.569011\pi\) | ||||
−0.215109 | + | 0.976590i | \(0.569011\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.156093 | − | 0.0631186i | −0.00632522 | − | 0.00255770i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −7.05256 | − | 14.6448i | −0.285316 | − | 0.592465i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.28448 | − | 14.3903i | 0.132659 | − | 0.581217i | −0.864278 | − | 0.503014i | \(-0.832224\pi\) |
0.996937 | − | 0.0782036i | \(-0.0249184\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −3.45777 | + | 1.66517i | −0.139431 | + | 0.0671463i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 36.9865 | + | 17.8118i | 1.48902 | + | 0.717074i | 0.988859 | − | 0.148858i | \(-0.0475598\pi\) |
0.500161 | + | 0.865932i | \(0.333274\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.53198 | −0.141962 | −0.0709811 | − | 0.997478i | \(-0.522613\pi\) | ||||
−0.0709811 | + | 0.997478i | \(0.522613\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.46754 | − | 1.17032i | −0.0588903 | − | 0.0469635i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 26.6998 | − | 24.2686i | 1.06971 | − | 0.972301i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −62.9884 | − | 30.3336i | −2.51954 | − | 1.21334i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.543883 | − | 0.433732i | −0.0217206 | − | 0.0173216i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 3.19761 | − | 2.55001i | 0.127497 | − | 0.101676i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −13.6273 | − | 10.8674i | −0.542493 | − | 0.432623i | 0.313518 | − | 0.949582i | \(-0.398493\pi\) |
−0.856010 | + | 0.516959i | \(0.827064\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0.523414 | + | 1.08688i | 0.0208038 | + | 0.0431996i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −12.0442 | − | 52.7689i | −0.477958 | − | 2.09407i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.09785 | − | 9.35069i | −0.241605 | − | 0.370488i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 25.0419 | − | 5.71565i | 0.990643 | − | 0.226108i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −20.0483 | + | 9.65477i | −0.791862 | + | 0.381341i | −0.785674 | − | 0.618640i | \(-0.787684\pi\) |
−0.00618750 | + | 0.999981i | \(0.501970\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.7520 | − | 22.2603i | 0.700071 | − | 0.877861i | −0.296958 | − | 0.954891i | \(-0.595972\pi\) |
0.997029 | + | 0.0770293i | \(0.0245435\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.48618 | + | 1.86361i | 0.0585184 | + | 0.0733797i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −19.4743 | + | 24.4200i | −0.765615 | + | 0.960051i | −0.999927 | − | 0.0121108i | \(-0.996145\pi\) |
0.234312 | + | 0.972162i | \(0.424716\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.31827 | + | 4.81393i | −0.0909999 | + | 0.188963i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.25560 | − | 0.145768i | 0.0884038 | − | 0.00571310i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 18.7441 | − | 23.5044i | 0.733514 | − | 0.919797i | −0.265504 | − | 0.964110i | \(-0.585538\pi\) |
0.999018 | + | 0.0443125i | \(0.0141097\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 19.4536i | 0.760116i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.14720 | − | 12.7648i | 0.239825 | − | 0.498002i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 14.0682 | + | 29.2130i | 0.548020 | + | 1.13798i | 0.972578 | + | 0.232575i | \(0.0747151\pi\) |
−0.424558 | + | 0.905401i | \(0.639571\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −29.1469 | − | 6.65260i | −1.13368 | − | 0.258756i | −0.385799 | − | 0.922583i | \(-0.626074\pi\) |
−0.747886 | + | 0.663827i | \(0.768931\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.105254 | + | 0.0506876i | −0.00408772 | + | 0.00196854i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 4.18606 | + | 64.7745i | 0.162328 | + | 2.51185i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 2.50192i | − | 0.0968746i | ||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 1.69188 | + | 0.814768i | 0.0654120 | + | 0.0315007i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.84837 | + | 12.4795i | −0.109960 | + | 0.481766i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.00174 | + | 26.2954i | 0.231350 | + | 1.01361i | 0.948521 | + | 0.316714i | \(0.102580\pi\) |
−0.717171 | + | 0.696897i | \(0.754563\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.49464 | − | 6.54846i | −0.0575289 | − | 0.252051i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −29.7326 | − | 6.78628i | −1.14272 | − | 0.260818i | −0.391056 | − | 0.920367i | \(-0.627890\pi\) |
−0.751661 | + | 0.659549i | \(0.770747\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −21.6281 | − | 15.0733i | −0.830011 | − | 0.578460i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.903989 | + | 1.13357i | 0.0346410 | + | 0.0434384i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 31.0604 | − | 24.7698i | 1.18849 | − | 0.947790i | 0.189076 | − | 0.981963i | \(-0.439451\pi\) |
0.999416 | + | 0.0341722i | \(0.0108795\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 18.2846i | − | 0.698620i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 0.797922i | − | 0.0304426i | ||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 7.08255 | − | 5.64815i | 0.269824 | − | 0.215177i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.63286 | − | 3.30151i | −0.100159 | − | 0.125595i | 0.729226 | − | 0.684273i | \(-0.239880\pi\) |
−0.829385 | + | 0.558678i | \(0.811309\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 8.64454 | + | 6.02464i | 0.328379 | + | 0.228857i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 85.6858 | + | 19.5572i | 3.25025 | + | 0.741848i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.87372 | + | 8.20929i | 0.0709721 | + | 0.310949i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.132550 | + | 0.580740i | 0.00501350 | + | 0.0219656i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.506981 | + | 2.22123i | −0.0191484 | + | 0.0838947i | −0.983599 | − | 0.180368i | \(-0.942271\pi\) |
0.964451 | + | 0.264262i | \(0.0851284\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 26.2898 | + | 12.6605i | 0.991539 | + | 0.477500i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.81233i | 0.143581i | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.14515 | + | 17.7199i | 0.0430678 | + | 0.666425i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.54940 | − | 1.70930i | 0.133301 | − | 0.0641942i | −0.366045 | − | 0.930597i | \(-0.619288\pi\) |
0.499345 | + | 0.866403i | \(0.333574\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −10.7184 | − | 2.44642i | −0.401973 | − | 0.0917478i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 14.5728 | + | 30.2607i | 0.545756 | + | 1.13327i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.85921 | + | 8.01373i | −0.144326 | + | 0.299696i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | − | 1.76015i | − | 0.0657341i | ||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 5.52467 | − | 6.92771i | 0.206035 | − | 0.258360i | −0.668068 | − | 0.744100i | \(-0.732878\pi\) |
0.874103 | + | 0.485740i | \(0.161450\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.29072 | + | 0.277288i | −0.159795 | + | 0.0103267i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.597565 | − | 1.24086i | 0.0222237 | − | 0.0461479i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 5.58204 | − | 6.99965i | 0.207312 | − | 0.259961i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.22044 | + | 5.29226i | 0.156527 | + | 0.196279i | 0.853911 | − | 0.520419i | \(-0.174224\pi\) |
−0.697384 | + | 0.716698i | \(0.745653\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −16.5665 | + | 20.7738i | −0.613576 | + | 0.769400i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.71194 | − | 2.26915i | 0.174277 | − | 0.0839276i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 28.2958 | − | 6.45833i | 1.04513 | − | 0.238544i | 0.334709 | − | 0.942322i | \(-0.391362\pi\) |
0.710420 | + | 0.703778i | \(0.248505\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.337001 | + | 2.59646i | 0.0124305 | + | 0.0957720i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 3.76945 | + | 16.5150i | 0.138849 | + | 0.608339i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.7031 | + | 28.4547i | 0.504075 | + | 1.04672i | 0.985412 | + | 0.170187i | \(0.0544372\pi\) |
−0.481337 | + | 0.876536i | \(0.659848\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.651638 | − | 0.519664i | −0.0239385 | − | 0.0190903i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 13.7093 | − | 10.9328i | 0.502946 | − | 0.401086i | −0.338885 | − | 0.940828i | \(-0.610050\pi\) |
0.841831 | + | 0.539742i | \(0.181478\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −40.7867 | − | 32.5263i | −1.49431 | − | 1.19167i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 30.0891 | + | 14.4902i | 1.10090 | + | 0.530168i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −7.68982 | + | 6.98960i | −0.280980 | + | 0.255394i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.55543 | + | 2.03789i | 0.0932490 | + | 0.0743636i | 0.669005 | − | 0.743258i | \(-0.266721\pi\) |
−0.575756 | + | 0.817622i | \(0.695292\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −2.08803 | −0.0760919 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 61.7125 | + | 29.7192i | 2.24595 | + | 1.08159i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.14216 | − | 2.47633i | 0.186895 | − | 0.0900039i | −0.338096 | − | 0.941112i | \(-0.609783\pi\) |
0.524991 | + | 0.851108i | \(0.324069\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.0927827 | − | 0.406508i | 0.00336780 | − | 0.0147553i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −0.0881927 | − | 0.183134i | −0.00319698 | − | 0.00663860i | 0.899364 | − | 0.437200i | \(-0.144030\pi\) |
−0.902561 | + | 0.430561i | \(0.858316\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 16.9972 | + | 6.87307i | 0.615340 | + | 0.248822i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −10.2887 | −0.371990 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −2.77756 | + | 5.76767i | −0.100292 | + | 0.208258i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −41.4807 | − | 9.46770i | −1.49583 | − | 0.341414i | −0.605176 | − | 0.796092i | \(-0.706897\pi\) |
−0.890656 | + | 0.454678i | \(0.849754\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.787968 | − | 0.179849i | 0.0283780 | − | 0.00647709i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −46.7547 | + | 10.6715i | −1.68165 | + | 0.383826i | −0.953453 | − | 0.301542i | \(-0.902499\pi\) |
−0.728197 | + | 0.685368i | \(0.759641\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −26.7443 | + | 117.174i | −0.960683 | + | 4.20903i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1.09117 | + | 0.441231i | 0.0391455 | + | 0.0158291i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −46.9690 | + | 37.4565i | −1.68284 | + | 1.34202i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.12446 | + | 8.93379i | 0.254933 | + | 0.319676i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0.381324 | 0.0136274 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −17.1416 | −0.611810 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −23.6943 | − | 29.7117i | −0.844611 | − | 1.05911i | −0.997486 | − | 0.0708631i | \(-0.977425\pi\) |
0.152875 | − | 0.988246i | \(-0.451147\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 1.45849 | − | 1.16311i | 0.0519238 | − | 0.0414078i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 12.0488 | + | 13.2559i | 0.428406 | + | 0.471324i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.41269 | + | 14.9520i | −0.121188 | + | 0.530959i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −2.07141 | + | 0.472786i | −0.0734654 | + | 0.0167680i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −8.95126 | + | 2.04307i | −0.317070 | + | 0.0723691i | −0.378094 | − | 0.925767i | \(-0.623420\pi\) |
0.0610243 | + | 0.998136i | \(0.480563\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.15475 | + | 1.86127i | 0.288494 | + | 0.0658469i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −17.7040 | + | 36.7627i | −0.625539 | + | 1.29894i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 6.30277 | 0.222420 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −33.8912 | + | 19.1060i | −1.19451 | + | 0.673397i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0.251398 | + | 0.522033i | 0.00884963 | + | 0.0183764i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −5.40968 | + | 23.7013i | −0.190194 | + | 0.833295i | 0.786316 | + | 0.617824i | \(0.211986\pi\) |
−0.976510 | + | 0.215471i | \(0.930871\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 8.18843 | − | 3.94334i | 0.287535 | − | 0.138469i | −0.284557 | − | 0.958659i | \(-0.591846\pi\) |
0.572092 | + | 0.820190i | \(0.306132\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.824106 | − | 0.396869i | −0.0289027 | − | 0.0139188i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 51.2121 | 1.79388 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 29.1721 | + | 23.2640i | 1.02060 | + | 0.813904i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 10.3572 | + | 7.21825i | 0.361910 | + | 0.252226i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 42.5519 | + | 20.4919i | 1.48507 | + | 0.715173i | 0.988274 | − | 0.152692i | \(-0.0487943\pi\) |
0.496799 | + | 0.867866i | \(0.334509\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −34.3864 | − | 27.4222i | −1.19863 | − | 0.955879i | −0.198926 | − | 0.980015i | \(-0.563745\pi\) |
−0.999709 | + | 0.0241356i | \(0.992317\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.16654 | − | 0.930285i | 0.0406137 | − | 0.0323884i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 35.1835 | + | 28.0579i | 1.22345 | + | 0.975669i | 1.00000 | 0.000953963i | \(0.000303656\pi\) | |
0.223451 | + | 0.974715i | \(0.428268\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.8184 | + | 34.9238i | 0.584128 | + | 1.21295i | 0.958345 | + | 0.285613i | \(0.0921970\pi\) |
−0.374218 | + | 0.927341i | \(0.622089\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −0.135639 | − | 0.594275i | −0.00470528 | − | 0.0206152i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 5.71848 | + | 0.546793i | 0.198134 | + | 0.0189453i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −15.9532 | + | 3.64121i | −0.552083 | + | 0.126009i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −4.61213 | + | 2.22108i | −0.159418 | + | 0.0767719i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 15.1606 | − | 19.0108i | 0.523403 | − | 0.656326i | −0.447925 | − | 0.894071i | \(-0.647837\pi\) |
0.971328 | + | 0.237745i | \(0.0764082\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.7643 | − | 22.2757i | −0.612562 | − | 0.768129i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 1.03822 | − | 1.30188i | 0.0357581 | − | 0.0448392i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 19.0111 | − | 39.4769i | 0.654001 | − | 1.35805i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.88661 | − | 24.1045i | 0.133545 | − | 0.828240i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0.883436 | − | 1.10779i | 0.0303194 | − | 0.0380194i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 17.4897i | 0.599538i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −2.70532 | + | 5.61765i | −0.0926283 | + | 0.192345i | −0.942135 | − | 0.335232i | \(-0.891185\pi\) |
0.849507 | + | 0.527577i | \(0.176899\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −31.8493 | − | 66.1357i | −1.08922 | − | 2.26179i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 26.7107 | + | 6.09654i | 0.912420 | + | 0.208254i | 0.652865 | − | 0.757474i | \(-0.273567\pi\) |
0.259555 | + | 0.965728i | \(0.416424\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 42.7069 | − | 20.5665i | 1.45714 | − | 0.701721i | 0.473321 | − | 0.880890i | \(-0.343055\pi\) |
0.983818 | + | 0.179169i | \(0.0573408\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.79319 | + | 1.62991i | −0.0611119 | + | 0.0555472i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − | 12.5493i | − | 0.427182i | −0.976923 | − | 0.213591i | \(-0.931484\pi\) | ||
0.976923 | − | 0.213591i | \(-0.0685160\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.0958 | + | 4.86187i | 0.343267 | + | 0.165309i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.324295 | + | 1.42083i | −0.0110136 | + | 0.0482538i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.08832 | − | 4.76826i | −0.0369188 | − | 0.161752i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.51625 | + | 19.7870i | 0.153027 | + | 0.670457i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 29.0654 | + | 6.63398i | 0.983713 | + | 0.224526i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −82.7208 | − | 13.3379i | −2.79647 | − | 0.450904i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −13.8617 | − | 17.3820i | −0.468075 | − | 0.586948i | 0.490623 | − | 0.871372i | \(-0.336769\pi\) |
−0.958699 | + | 0.284424i | \(0.908198\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.928583 | + | 0.740520i | −0.0313203 | + | 0.0249771i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 42.1539i | − | 1.42020i | −0.704100 | − | 0.710101i | \(-0.748649\pi\) | ||
0.704100 | − | 0.710101i | \(-0.251351\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 15.6328i | − | 0.526087i | −0.964784 | − | 0.263043i | \(-0.915274\pi\) | ||
0.964784 | − | 0.263043i | \(-0.0847262\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.17387 | − | 0.936132i | 0.0394593 | − | 0.0314677i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 32.7452 | + | 41.0612i | 1.09948 | + | 1.37870i | 0.918597 | + | 0.395195i | \(0.129323\pi\) |
0.180880 | + | 0.983505i | \(0.442106\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −16.7832 | − | 29.7709i | −0.562889 | − | 0.998483i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −11.5861 | − | 2.64445i | −0.388149 | − | 0.0885925i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 13.2793 | + | 58.1802i | 0.444373 | + | 1.94693i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −16.9297 | − | 74.1738i | −0.565897 | − | 2.47936i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.111165 | − | 0.487045i | 0.00371169 | − | 0.0162620i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −6.14749 | − | 2.96047i | −0.205030 | − | 0.0987373i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.66167i | 0.155303i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1.23478 | + | 0.860553i | 0.0410907 | + | 0.0286374i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 71.3682 | − | 34.3691i | 2.37236 | − | 1.14247i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −17.5697 | − | 4.01017i | −0.583392 | − | 0.133155i | −0.0793684 | − | 0.996845i | \(-0.525290\pi\) |
−0.504023 | + | 0.863690i | \(0.668147\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −8.71278 | − | 18.0923i | −0.288985 | − | 0.600083i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −7.10130 | + | 14.7460i | −0.235276 | + | 0.488557i | −0.984860 | − | 0.173354i | \(-0.944540\pi\) |
0.749583 | + | 0.661910i | \(0.230254\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 14.8569i | 0.491691i | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 2.24270 | − | 2.81226i | 0.0741415 | − | 0.0929705i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 3.49988 | + | 11.7741i | 0.115576 | + | 0.388814i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9.32697 | + | 19.3677i | −0.307668 | + | 0.638880i | −0.996273 | − | 0.0862570i | \(-0.972509\pi\) |
0.688604 | + | 0.725137i | \(0.258224\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.598068 | − | 0.749953i | 0.0197070 | − | 0.0247118i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 8.53596 | + | 10.7038i | 0.280965 | + | 0.352319i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −39.0213 | + | 48.9311i | −1.28301 | + | 1.60884i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 4.38089 | − | 2.10972i | 0.143887 | − | 0.0692924i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 7.08044 | − | 1.61606i | 0.232302 | − | 0.0530214i | −0.104785 | − | 0.994495i | \(-0.533415\pi\) |
0.337087 | + | 0.941474i | \(0.390558\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 14.1871 | + | 38.4509i | 0.464963 | + | 1.26018i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −0.467588 | − | 2.04864i | −0.0153082 | − | 0.0670694i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.98592 | − | 4.12381i | −0.0649467 | − | 0.134863i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −24.7109 | − | 19.7063i | −0.807269 | − | 0.643776i | 0.130339 | − | 0.991469i | \(-0.458393\pi\) |
−0.937608 | + | 0.347694i | \(0.886965\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1.73261 | + | 1.38171i | −0.0565414 | + | 0.0450903i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −41.3951 | − | 33.0115i | −1.34944 | − | 1.07614i | −0.989710 | − | 0.143087i | \(-0.954297\pi\) |
−0.359731 | − | 0.933056i | \(-0.617132\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −32.4423 | − | 15.6234i | −1.05647 | − | 0.508768i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −2.91200 | − | 5.16546i | −0.0947273 | − | 0.168032i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −3.28463 | − | 2.61941i | −0.106736 | − | 0.0851192i | 0.568667 | − | 0.822568i | \(-0.307459\pi\) |
−0.675404 | + | 0.737448i | \(0.736031\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.55148 | 0.245132 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1.36786 | + | 0.658728i | 0.0443560 | + | 0.0213607i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 44.6586 | − | 21.5064i | 1.44663 | − | 0.696662i | 0.464627 | − | 0.885507i | \(-0.346188\pi\) |
0.982007 | + | 0.188844i | \(0.0604742\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 11.6893 | − | 51.2142i | 0.378257 | − | 1.65725i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.0367526 | + | 0.0763175i | 0.00118804 | + | 0.00246699i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −3.28957 | − | 11.0666i | −0.106226 | − | 0.357358i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 60.5977 | 1.95477 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 5.09892 | − | 10.5880i | 0.164310 | − | 0.341194i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −61.4637 | − | 14.0287i | −1.97859 | − | 0.451599i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 30.4158 | − | 6.94221i | 0.978106 | − | 0.223246i | 0.296554 | − | 0.955016i | \(-0.404162\pi\) |
0.681552 | + | 0.731770i | \(0.261305\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.418148 | − | 0.0954395i | 0.0134328 | − | 0.00306596i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 2.64310 | − | 11.5802i | 0.0848210 | − | 0.371625i | −0.914646 | − | 0.404255i | \(-0.867531\pi\) |
0.999468 | + | 0.0326294i | \(0.0103881\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 55.3788 | − | 3.57886i | 1.77536 | − | 0.114733i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.39766 | − | 1.11459i | 0.0447608 | − | 0.0356956i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 13.8450 | + | 17.3611i | 0.442942 | + | 0.555431i | 0.952316 | − | 0.305114i | \(-0.0986945\pi\) |
−0.509374 | + | 0.860545i | \(0.670123\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −18.1520 | −0.580141 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −20.7338 | −0.661980 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −11.5949 | − | 14.5395i | −0.369819 | − | 0.463738i | 0.561748 | − | 0.827308i | \(-0.310129\pi\) |
−0.931567 | + | 0.363570i | \(0.881558\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 57.3287 | − | 45.7181i | 1.82664 | − | 1.45670i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.685873 | + | 2.30737i | 0.0218316 | + | 0.0734444i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.97656 | + | 21.8037i | −0.158245 | + | 0.693319i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.33425 | + | 0.761021i | −0.105916 | + | 0.0241746i | −0.275150 | − | 0.961401i | \(-0.588728\pi\) |
0.169234 | + | 0.985576i | \(0.445871\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −2.20290 | + | 0.502799i | −0.0699071 | + | 0.0159558i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −27.3269 | − | 6.23718i | −0.866320 | − | 0.197732i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 10.2476 | − | 21.2793i | 0.324543 | − | 0.673921i | −0.673313 | − | 0.739357i | \(-0.735130\pi\) |
0.997857 | + | 0.0654361i | \(0.0208438\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −2.66565 | −0.0843374 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 784.2.bb.b.111.12 | yes | 120 | |
4.3 | odd | 2 | inner | 784.2.bb.b.111.9 | ✓ | 120 | |
49.34 | odd | 14 | inner | 784.2.bb.b.671.9 | yes | 120 | |
196.83 | even | 14 | inner | 784.2.bb.b.671.12 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
784.2.bb.b.111.9 | ✓ | 120 | 4.3 | odd | 2 | inner | |
784.2.bb.b.111.12 | yes | 120 | 1.1 | even | 1 | trivial | |
784.2.bb.b.671.9 | yes | 120 | 49.34 | odd | 14 | inner | |
784.2.bb.b.671.12 | yes | 120 | 196.83 | even | 14 | inner |