Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(10,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(162))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.i (of order \(81\), degree \(54\), 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(1404\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{81})\) |
Twist minimal: | no (minimal twist has level 243) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{81}]$ |
Embedding invariants
Embedding label | 10.16 | ||
Character | \(\chi\) | \(=\) | 729.10 |
Dual form | 729.2.i.a.73.16 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{81}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.545687 | + | 0.0853439i | 0.385859 | + | 0.0603472i | 0.344474 | − | 0.938796i | \(-0.388057\pi\) |
0.0413854 | + | 0.999143i | \(0.486823\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.61401 | − | 0.517510i | −0.807003 | − | 0.258755i | ||||
\(5\) | 2.31192 | + | 1.05090i | 1.03392 | + | 0.469976i | 0.857579 | − | 0.514353i | \(-0.171968\pi\) |
0.176345 | + | 0.984328i | \(0.443573\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.332789 | + | 2.43645i | 0.125782 | + | 0.920891i | 0.940203 | + | 0.340615i | \(0.110635\pi\) |
−0.814420 | + | 0.580275i | \(0.802945\pi\) | |||||||
\(8\) | −1.82372 | − | 0.915906i | −0.644782 | − | 0.323822i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.17190 | + | 0.770770i | 0.370587 | + | 0.243739i | ||||
\(11\) | −1.21457 | + | 0.0944038i | −0.366207 | + | 0.0284638i | −0.259278 | − | 0.965803i | \(-0.583484\pi\) |
−0.106929 | + | 0.994267i | \(0.534102\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.742229 | + | 2.16925i | 0.205857 | + | 0.601641i | 0.999981 | − | 0.00611515i | \(-0.00194652\pi\) |
−0.794124 | + | 0.607756i | \(0.792070\pi\) | |||||||
\(14\) | −0.0263372 | + | 1.35794i | −0.00703891 | + | 0.362925i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.84083 | + | 1.31575i | 0.460209 | + | 0.328937i | ||||
\(17\) | −0.358683 | + | 0.831520i | −0.0869934 | + | 0.201673i | −0.956159 | − | 0.292848i | \(-0.905397\pi\) |
0.869166 | + | 0.494521i | \(0.164656\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.16607 | + | 4.25276i | −0.726345 | + | 0.975651i | 0.273560 | + | 0.961855i | \(0.411799\pi\) |
−0.999905 | + | 0.0137959i | \(0.995608\pi\) | |||||||
\(20\) | −3.18761 | − | 2.89260i | −0.712770 | − | 0.646805i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.670832 | − | 0.0521412i | −0.143022 | − | 0.0111165i | ||||
\(23\) | 5.11525 | + | 3.96462i | 1.06660 | + | 0.826679i | 0.985440 | − | 0.170021i | \(-0.0543837\pi\) |
0.0811623 | + | 0.996701i | \(0.474137\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.952996 | + | 1.09201i | 0.190599 | + | 0.218402i | ||||
\(26\) | 0.219893 | + | 1.24707i | 0.0431245 | + | 0.244571i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.723762 | − | 4.10466i | 0.136778 | − | 0.775708i | ||||
\(29\) | 6.35500 | − | 3.83526i | 1.18009 | − | 0.712191i | 0.215648 | − | 0.976471i | \(-0.430813\pi\) |
0.964446 | + | 0.264280i | \(0.0851345\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.11155 | + | 0.198352i | −0.918062 | + | 0.0356250i | −0.493473 | − | 0.869761i | \(-0.664273\pi\) |
−0.424589 | + | 0.905386i | \(0.639581\pi\) | |||||||
\(32\) | 3.80619 | + | 3.73309i | 0.672846 | + | 0.659923i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.266694 | + | 0.423138i | −0.0457376 | + | 0.0725676i | ||||
\(35\) | −1.79108 | + | 5.98261i | −0.302747 | + | 1.01125i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.66899 | + | 4.94885i | −0.767578 | + | 0.813585i | −0.986775 | − | 0.162095i | \(-0.948175\pi\) |
0.219197 | + | 0.975681i | \(0.429656\pi\) | |||||||
\(38\) | −2.09063 | + | 2.05047i | −0.339145 | + | 0.332631i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.25377 | − | 4.03405i | −0.514467 | − | 0.637839i | ||||
\(41\) | −0.0957591 | + | 0.248022i | −0.0149551 | + | 0.0387346i | −0.940160 | − | 0.340733i | \(-0.889325\pi\) |
0.925205 | + | 0.379467i | \(0.123893\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.81663 | + | 7.05257i | 0.277033 | + | 1.07551i | 0.943873 | + | 0.330307i | \(0.107152\pi\) |
−0.666841 | + | 0.745200i | \(0.732354\pi\) | |||||||
\(44\) | 2.00918 | + | 0.476184i | 0.302895 | + | 0.0717874i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.45297 | + | 2.59999i | 0.361670 | + | 0.383348i | ||||
\(47\) | 2.75161 | + | 0.106775i | 0.401364 | + | 0.0155748i | 0.238667 | − | 0.971101i | \(-0.423289\pi\) |
0.162697 | + | 0.986676i | \(0.447981\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.918067 | − | 0.255561i | 0.131152 | − | 0.0365088i | ||||
\(50\) | 0.426841 | + | 0.677229i | 0.0603644 | + | 0.0957747i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.0753550 | − | 3.88528i | −0.0104499 | − | 0.538792i | ||||
\(53\) | 2.59131 | − | 0.943159i | 0.355944 | − | 0.129553i | −0.157858 | − | 0.987462i | \(-0.550459\pi\) |
0.513802 | + | 0.857909i | \(0.328237\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.90720 | − | 1.05813i | −0.392007 | − | 0.142679i | ||||
\(56\) | 1.62464 | − | 4.74820i | 0.217102 | − | 0.634505i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.79516 | − | 1.55049i | 0.498329 | − | 0.203590i | ||||
\(59\) | −2.14175 | − | 4.47910i | −0.278832 | − | 0.583129i | 0.714338 | − | 0.699801i | \(-0.246728\pi\) |
−0.993170 | + | 0.116672i | \(0.962777\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.01907 | − | 2.25057i | 0.898700 | − | 0.288157i | 0.180156 | − | 0.983638i | \(-0.442340\pi\) |
0.718544 | + | 0.695482i | \(0.244809\pi\) | |||||||
\(62\) | −2.80624 | − | 0.328002i | −0.356392 | − | 0.0416563i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.944003 | − | 1.26802i | −0.118000 | − | 0.158502i | ||||
\(65\) | −0.563680 | + | 5.79514i | −0.0699159 | + | 0.718798i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.319744 | + | 0.192966i | 0.0390629 | + | 0.0235746i | 0.536096 | − | 0.844157i | \(-0.319898\pi\) |
−0.497033 | + | 0.867731i | \(0.665577\pi\) | |||||||
\(68\) | 1.00924 | − | 1.15646i | 0.122388 | − | 0.140241i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.48795 | + | 3.11177i | −0.177844 | + | 0.371928i | ||||
\(71\) | −0.837312 | + | 14.3761i | −0.0993706 | + | 1.70613i | 0.468871 | + | 0.883266i | \(0.344661\pi\) |
−0.568242 | + | 0.822861i | \(0.692376\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.18083 | + | 4.72291i | −0.840453 | + | 0.552775i | −0.895169 | − | 0.445727i | \(-0.852945\pi\) |
0.0547158 | + | 0.998502i | \(0.482575\pi\) | |||||||
\(74\) | −2.97016 | + | 2.30205i | −0.345274 | + | 0.267608i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.31089 | − | 5.22551i | 0.838617 | − | 0.599407i | ||||
\(77\) | −0.634206 | − | 2.92782i | −0.0722744 | − | 0.333656i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.28903 | − | 10.2768i | 0.932589 | − | 1.15623i | −0.0548927 | − | 0.998492i | \(-0.517482\pi\) |
0.987481 | − | 0.157736i | \(-0.0504196\pi\) | |||||||
\(80\) | 2.87315 | + | 4.97644i | 0.321228 | + | 0.556383i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.0734216 | + | 0.127170i | −0.00810806 | + | 0.0140436i | ||||
\(83\) | 0.562119 | + | 1.45593i | 0.0617006 | + | 0.159809i | 0.960306 | − | 0.278950i | \(-0.0899863\pi\) |
−0.898605 | + | 0.438758i | \(0.855418\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.70309 | + | 1.54547i | −0.184726 | + | 0.167630i | ||||
\(86\) | 0.389415 | + | 4.00354i | 0.0419917 | + | 0.431712i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.30150 | + | 0.940265i | 0.245341 | + | 0.100233i | ||||
\(89\) | −0.323083 | − | 5.54713i | −0.0342468 | − | 0.587994i | −0.971159 | − | 0.238431i | \(-0.923367\pi\) |
0.936913 | − | 0.349563i | \(-0.113670\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.03825 | + | 2.53030i | −0.528152 | + | 0.265248i | ||||
\(92\) | −6.20431 | − | 9.04610i | −0.646844 | − | 0.943121i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.49241 | + | 0.293099i | 0.153930 | + | 0.0302309i | ||||
\(95\) | −11.7889 | + | 6.50485i | −1.20952 | + | 0.667384i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.78600 | + | 2.63006i | −0.587480 | + | 0.267042i | −0.685418 | − | 0.728150i | \(-0.740380\pi\) |
0.0979378 | + | 0.995193i | \(0.468775\pi\) | |||||||
\(98\) | 0.522788 | − | 0.0611051i | 0.0528095 | − | 0.00617255i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.973013 | − | 2.25570i | −0.0973013 | − | 0.225570i | ||||
\(101\) | 3.46900 | − | 16.0147i | 0.345179 | − | 1.59352i | −0.393409 | − | 0.919364i | \(-0.628704\pi\) |
0.738587 | − | 0.674158i | \(-0.235493\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.84691 | − | 14.3571i | 0.970245 | − | 1.41465i | 0.0611186 | − | 0.998131i | \(-0.480533\pi\) |
0.909126 | − | 0.416521i | \(-0.136751\pi\) | |||||||
\(104\) | 0.633208 | − | 4.63591i | 0.0620912 | − | 0.454588i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.49454 | − | 0.293517i | 0.145162 | − | 0.0285089i | ||||
\(107\) | 3.20402 | − | 2.68850i | 0.309745 | − | 0.259907i | −0.474642 | − | 0.880179i | \(-0.657422\pi\) |
0.784386 | + | 0.620272i | \(0.212978\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −14.6013 | − | 12.2520i | −1.39855 | − | 1.17353i | −0.961737 | − | 0.273975i | \(-0.911661\pi\) |
−0.436817 | − | 0.899550i | \(-0.643894\pi\) | |||||||
\(110\) | −1.49612 | − | 0.825522i | −0.142649 | − | 0.0787104i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.59315 | + | 4.92297i | −0.245029 | + | 0.465176i | ||||
\(113\) | 4.52001 | − | 17.5477i | 0.425207 | − | 1.65075i | −0.293887 | − | 0.955840i | \(-0.594949\pi\) |
0.719094 | − | 0.694913i | \(-0.244557\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.65965 | + | 14.5415i | 0.714266 | + | 1.35600i | ||||
\(116\) | −12.2418 | + | 2.90136i | −1.13662 | + | 0.269384i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.786463 | − | 2.62697i | −0.0723998 | − | 0.241832i | ||||
\(119\) | −2.14532 | − | 0.597191i | −0.196661 | − | 0.0547444i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.40162 | + | 1.47039i | −0.854693 | + | 0.133672i | ||||
\(122\) | 4.02229 | − | 0.629074i | 0.364161 | − | 0.0569537i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 8.35272 | + | 2.32514i | 0.750097 | + | 0.208804i | ||||
\(125\) | −2.58611 | − | 8.63822i | −0.231309 | − | 0.772626i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −14.7201 | + | 3.48872i | −1.30619 | + | 0.309574i | −0.824049 | − | 0.566518i | \(-0.808290\pi\) |
−0.482145 | + | 0.876092i | \(0.660142\pi\) | |||||||
\(128\) | −5.37617 | − | 10.2064i | −0.475191 | − | 0.902128i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.802172 | + | 3.11422i | −0.0703552 | + | 0.273136i | ||||
\(131\) | −6.02429 | + | 11.4368i | −0.526345 | + | 0.999241i | 0.467021 | + | 0.884246i | \(0.345327\pi\) |
−0.993366 | + | 0.114995i | \(0.963315\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.4153 | − | 6.29868i | −0.989829 | − | 0.546165i | ||||
\(134\) | 0.158012 | + | 0.132587i | 0.0136501 | + | 0.0114538i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.41573 | − | 1.18794i | 0.121398 | − | 0.101865i | ||||
\(137\) | 6.35646 | − | 1.24837i | 0.543069 | − | 0.106655i | 0.0863477 | − | 0.996265i | \(-0.472480\pi\) |
0.456721 | + | 0.889610i | \(0.349024\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.67550 | − | 12.2668i | 0.142114 | − | 1.04046i | −0.772178 | − | 0.635406i | \(-0.780833\pi\) |
0.914293 | − | 0.405055i | \(-0.132747\pi\) | |||||||
\(140\) | 5.98686 | − | 8.72906i | 0.505982 | − | 0.737740i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.68382 | + | 7.77339i | −0.141303 | + | 0.652328i | ||||
\(143\) | −1.10627 | − | 2.56463i | −0.0925113 | − | 0.214465i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 18.7227 | − | 2.18838i | 1.55484 | − | 0.181735i | ||||
\(146\) | −4.32156 | + | 1.96439i | −0.357655 | + | 0.162574i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 10.0969 | − | 5.57121i | 0.829957 | − | 0.457951i | ||||
\(149\) | 14.6754 | + | 2.88215i | 1.20226 | + | 0.236115i | 0.753444 | − | 0.657512i | \(-0.228391\pi\) |
0.448811 | + | 0.893627i | \(0.351848\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.7949 | − | 18.6554i | −1.04123 | − | 1.51815i | −0.842940 | − | 0.538008i | \(-0.819177\pi\) |
−0.198290 | − | 0.980143i | \(-0.563539\pi\) | |||||||
\(152\) | 9.66914 | − | 4.85603i | 0.784271 | − | 0.393876i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.0962063 | − | 1.65180i | −0.00775252 | − | 0.133106i | ||||
\(155\) | −12.0260 | − | 4.91315i | −0.965949 | − | 0.394634i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.40444 | + | 14.4389i | 0.112086 | + | 1.15235i | 0.867617 | + | 0.497233i | \(0.165651\pi\) |
−0.755531 | + | 0.655113i | \(0.772621\pi\) | |||||||
\(158\) | 5.40028 | − | 4.90049i | 0.429623 | − | 0.389862i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 4.87653 | + | 12.6305i | 0.385524 | + | 0.998531i | ||||
\(161\) | −7.95728 | + | 13.7824i | −0.627121 | + | 1.08621i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.89897 | + | 13.6814i | 0.618695 | + | 1.07161i | 0.989724 | + | 0.142990i | \(0.0456716\pi\) |
−0.371029 | + | 0.928621i | \(0.620995\pi\) | |||||||
\(164\) | 0.282910 | − | 0.350753i | 0.0220915 | − | 0.0273892i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.182487 | + | 0.842453i | 0.0141637 | + | 0.0653870i | ||||
\(167\) | 6.07359 | − | 4.34114i | 0.469989 | − | 0.335928i | −0.321711 | − | 0.946838i | \(-0.604258\pi\) |
0.791700 | + | 0.610910i | \(0.209196\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.12038 | − | 4.74365i | 0.470799 | − | 0.364896i | ||||
\(170\) | −1.06125 | + | 0.697996i | −0.0813942 | + | 0.0535338i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.717734 | − | 12.3230i | 0.0547267 | − | 0.939621i | ||||
\(173\) | 0.0612580 | − | 0.128110i | 0.00465736 | − | 0.00974004i | −0.899826 | − | 0.436250i | \(-0.856306\pi\) |
0.904483 | + | 0.426510i | \(0.140257\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.34348 | + | 2.68533i | −0.177151 | + | 0.202992i | ||||
\(176\) | −2.36003 | − | 1.42429i | −0.177894 | − | 0.107360i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.297111 | − | 3.05457i | 0.0222694 | − | 0.228950i | ||||
\(179\) | −9.81081 | − | 13.1782i | −0.733295 | − | 0.984986i | −0.999776 | − | 0.0211456i | \(-0.993269\pi\) |
0.266482 | − | 0.963840i | \(-0.414139\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 23.2997 | + | 2.72335i | 1.73186 | + | 0.202425i | 0.922793 | − | 0.385297i | \(-0.125901\pi\) |
0.809063 | + | 0.587722i | \(0.199975\pi\) | |||||||
\(182\) | −2.96525 | + | 0.950770i | −0.219799 | + | 0.0704758i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −5.69756 | − | 11.9154i | −0.420029 | − | 0.878417i | ||||
\(185\) | −15.9951 | + | 6.53471i | −1.17598 | + | 0.480442i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.357147 | − | 1.04380i | 0.0261171 | − | 0.0763302i | ||||
\(188\) | −4.38586 | − | 1.59632i | −0.319872 | − | 0.116424i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.98821 | + | 2.54350i | −0.506978 | + | 0.184525i | ||||
\(191\) | 0.426312 | + | 21.9806i | 0.0308469 | + | 1.59046i | 0.621423 | + | 0.783475i | \(0.286555\pi\) |
−0.590576 | + | 0.806982i | \(0.701099\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.61440 | − | 2.56142i | −0.116207 | − | 0.184375i | 0.782845 | − | 0.622217i | \(-0.213768\pi\) |
−0.899052 | + | 0.437842i | \(0.855743\pi\) | |||||||
\(194\) | −3.38181 | + | 0.941390i | −0.242800 | + | 0.0675879i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.61402 | − | 0.0626313i | −0.115287 | − | 0.00447367i | ||||
\(197\) | 1.24632 | + | 1.32102i | 0.0887965 | + | 0.0941188i | 0.770248 | − | 0.637745i | \(-0.220132\pi\) |
−0.681451 | + | 0.731863i | \(0.738651\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.37242 | + | 0.799278i | 0.239064 | + | 0.0566593i | 0.348401 | − | 0.937345i | \(-0.386725\pi\) |
−0.109337 | + | 0.994005i | \(0.534873\pi\) | |||||||
\(200\) | −0.737816 | − | 2.86438i | −0.0521715 | − | 0.202542i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.25974 | − | 8.44295i | 0.229355 | − | 0.594044i | ||||
\(203\) | 11.4593 | + | 14.2073i | 0.804285 | + | 0.997157i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.482034 | + | 0.472775i | −0.0336667 | + | 0.0330201i | ||||
\(206\) | 6.59862 | − | 6.99413i | 0.459748 | − | 0.487304i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.48786 | + | 4.96981i | −0.103165 | + | 0.344594i | ||||
\(209\) | 3.44393 | − | 5.46417i | 0.238222 | − | 0.377964i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.78900 | + | 4.69702i | 0.329689 | + | 0.323356i | 0.846140 | − | 0.532960i | \(-0.178920\pi\) |
−0.516452 | + | 0.856316i | \(0.672748\pi\) | |||||||
\(212\) | −4.67048 | + | 0.181236i | −0.320770 | + | 0.0124473i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.97784 | − | 1.19363i | 0.135202 | − | 0.0815951i | ||||
\(215\) | −3.21164 | + | 18.2141i | −0.219032 | + | 1.24219i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.18434 | − | 12.3880i | −0.148283 | − | 0.840954i | ||||
\(218\) | −6.92212 | − | 7.93187i | −0.468825 | − | 0.537214i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.14464 | + | 3.21234i | 0.279432 | + | 0.216576i | ||||
\(221\) | −2.07000 | − | 0.160893i | −0.139243 | − | 0.0108228i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.4543 | + | 11.3017i | 0.834002 | + | 0.756817i | 0.972340 | − | 0.233569i | \(-0.0750403\pi\) |
−0.138338 | + | 0.990385i | \(0.544176\pi\) | |||||||
\(224\) | −7.82881 | + | 10.5159i | −0.523085 | + | 0.702625i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.96410 | − | 9.18982i | 0.263688 | − | 0.611298i | ||||
\(227\) | 24.2282 | + | 17.3173i | 1.60808 | + | 1.14939i | 0.892698 | + | 0.450656i | \(0.148810\pi\) |
0.715384 | + | 0.698732i | \(0.246252\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.235337 | − | 12.1339i | 0.0155515 | − | 0.801831i | −0.908134 | − | 0.418679i | \(-0.862493\pi\) |
0.923686 | − | 0.383151i | \(-0.125161\pi\) | |||||||
\(230\) | 2.93874 | + | 8.58881i | 0.193775 | + | 0.566329i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −15.1025 | + | 1.17386i | −0.991526 | + | 0.0770675i | ||||
\(233\) | 4.45842 | + | 2.93235i | 0.292081 | + | 0.192105i | 0.687090 | − | 0.726573i | \(-0.258888\pi\) |
−0.395008 | + | 0.918677i | \(0.629258\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.24931 | + | 3.13852i | 0.407660 | + | 0.204735i | ||||
\(236\) | 1.13882 | + | 8.33766i | 0.0741311 | + | 0.542735i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.11971 | − | 0.508969i | −0.0725799 | − | 0.0329916i | ||||
\(239\) | 1.66750 | + | 0.534663i | 0.107862 | + | 0.0345844i | 0.358767 | − | 0.933427i | \(-0.383197\pi\) |
−0.250905 | + | 0.968012i | \(0.580728\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.4400 | + | 1.78918i | 0.736912 | + | 0.115251i | 0.511828 | − | 0.859088i | \(-0.328969\pi\) |
0.225085 | + | 0.974339i | \(0.427734\pi\) | |||||||
\(242\) | −5.25583 | −0.337858 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −12.4935 | −0.799815 | ||||||||
\(245\) | 2.39107 | + | 0.373956i | 0.152760 | + | 0.0238912i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −11.5752 | − | 3.71145i | −0.736515 | − | 0.236154i | ||||
\(248\) | 9.50371 | + | 4.31997i | 0.603486 | + | 0.274318i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.673989 | − | 4.93447i | −0.0426268 | − | 0.312084i | ||||
\(251\) | −25.9506 | − | 13.0329i | −1.63799 | − | 0.822628i | −0.998553 | − | 0.0537834i | \(-0.982872\pi\) |
−0.639435 | − | 0.768845i | \(-0.720832\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.58710 | − | 4.33240i | −0.414127 | − | 0.272376i | ||||
\(254\) | −8.33029 | + | 0.647481i | −0.522689 | + | 0.0406266i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −1.03912 | − | 3.03694i | −0.0649450 | − | 0.189809i | ||||
\(257\) | −0.259601 | + | 13.3850i | −0.0161935 | + | 0.834931i | 0.900389 | + | 0.435085i | \(0.143282\pi\) |
−0.916583 | + | 0.399845i | \(0.869064\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −13.6114 | − | 9.72884i | −0.845771 | − | 0.604521i | ||||
\(260\) | 3.90882 | − | 9.06167i | 0.242415 | − | 0.561981i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.26344 | + | 5.72680i | −0.263396 | + | 0.353803i | ||||
\(263\) | −7.23677 | − | 6.56702i | −0.446239 | − | 0.404940i | 0.417662 | − | 0.908603i | \(-0.362850\pi\) |
−0.863900 | + | 0.503663i | \(0.831985\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.98207 | + | 0.542689i | 0.428905 | + | 0.0333371i | ||||
\(266\) | −5.69161 | − | 4.41133i | −0.348975 | − | 0.270476i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.416206 | − | 0.476919i | −0.0254238 | − | 0.0291325i | ||||
\(269\) | −2.33645 | − | 13.2506i | −0.142456 | − | 0.807906i | −0.969375 | − | 0.245586i | \(-0.921020\pi\) |
0.826919 | − | 0.562321i | \(-0.190091\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.78042 | + | 15.7686i | −0.168899 | + | 0.957872i | 0.776054 | + | 0.630666i | \(0.217218\pi\) |
−0.944953 | + | 0.327206i | \(0.893893\pi\) | |||||||
\(272\) | −1.75435 | + | 1.05875i | −0.106373 | + | 0.0641964i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.57518 | − | 0.138733i | 0.215984 | − | 0.00838118i | ||||
\(275\) | −1.26057 | − | 1.23636i | −0.0760152 | − | 0.0745552i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.01438 | − | 1.60942i | 0.0609482 | − | 0.0967010i | −0.814129 | − | 0.580683i | \(-0.802785\pi\) |
0.875078 | + | 0.483982i | \(0.160810\pi\) | |||||||
\(278\) | 1.96120 | − | 6.55087i | 0.117625 | − | 0.392895i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 8.74592 | − | 9.27014i | 0.522669 | − | 0.553997i | ||||
\(281\) | −5.96589 | + | 5.85131i | −0.355895 | + | 0.349060i | −0.856065 | − | 0.516867i | \(-0.827098\pi\) |
0.500170 | + | 0.865927i | \(0.333271\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.91900 | − | 12.2976i | −0.589624 | − | 0.731018i | 0.392396 | − | 0.919796i | \(-0.371646\pi\) |
−0.982020 | + | 0.188778i | \(0.939547\pi\) | |||||||
\(284\) | 8.79119 | − | 22.7698i | 0.521661 | − | 1.35114i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.384804 | − | 1.49390i | −0.0227539 | − | 0.0883361i | ||||
\(287\) | −0.636161 | − | 0.150773i | −0.0375514 | − | 0.00889984i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 11.1033 | + | 11.7688i | 0.653137 | + | 0.692285i | ||||
\(290\) | 10.4035 | + | 0.403704i | 0.610916 | + | 0.0237063i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 14.0341 | − | 3.90665i | 0.821281 | − | 0.228619i | ||||
\(293\) | −9.92011 | − | 15.7393i | −0.579539 | − | 0.919501i | −0.999926 | − | 0.0121565i | \(-0.996130\pi\) |
0.420387 | − | 0.907345i | \(-0.361894\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.244495 | − | 12.6061i | −0.0142350 | − | 0.733955i | ||||
\(296\) | 13.0476 | − | 4.74894i | 0.758377 | − | 0.276027i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.76220 | + | 2.82521i | 0.449652 | + | 0.163660i | ||||
\(299\) | −4.80354 | + | 14.0389i | −0.277796 | + | 0.811889i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −16.5787 | + | 6.77313i | −0.955579 | + | 0.390397i | ||||
\(302\) | −5.38986 | − | 11.2719i | −0.310152 | − | 0.648628i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −11.4238 | + | 3.66289i | −0.655199 | + | 0.210081i | ||||
\(305\) | 18.5927 | + | 2.17317i | 1.06461 | + | 0.124435i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 10.3853 | + | 13.9498i | 0.592718 | + | 0.796159i | 0.992731 | − | 0.120350i | \(-0.0384018\pi\) |
−0.400013 | + | 0.916509i | \(0.630994\pi\) | |||||||
\(308\) | −0.491564 | + | 5.05372i | −0.0280095 | + | 0.287963i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.14311 | − | 3.70738i | −0.348905 | − | 0.210565i | ||||
\(311\) | 15.6185 | − | 17.8968i | 0.885641 | − | 1.01483i | −0.114131 | − | 0.993466i | \(-0.536408\pi\) |
0.999772 | − | 0.0213664i | \(-0.00680167\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.26453 | + | 4.73586i | −0.127999 | + | 0.267687i | −0.956183 | − | 0.292769i | \(-0.905423\pi\) |
0.828185 | + | 0.560456i | \(0.189374\pi\) | |||||||
\(314\) | −0.465886 | + | 7.99896i | −0.0262915 | + | 0.451407i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −18.6969 | + | 12.2971i | −1.05178 | + | 0.691767i | ||||
\(317\) | 5.04095 | − | 3.90703i | 0.283128 | − | 0.219441i | −0.461131 | − | 0.887332i | \(-0.652556\pi\) |
0.744259 | + | 0.667891i | \(0.232803\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.35653 | + | 5.25813i | −0.411887 | + | 0.294399i | ||||
\(320\) | −0.849907 | − | 3.92361i | −0.0475113 | − | 0.219336i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.51843 | + | 6.84178i | −0.307530 | + | 0.381277i | ||||
\(323\) | −2.40065 | − | 4.15804i | −0.133576 | − | 0.231360i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.66150 | + | 2.87780i | −0.0921635 | + | 0.159632i | ||||
\(326\) | 3.14274 | + | 8.13990i | 0.174060 | + | 0.450827i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.401803 | − | 0.364616i | 0.0221858 | − | 0.0201326i | ||||
\(329\) | 0.655555 | + | 6.73970i | 0.0361419 | + | 0.371572i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.4042 | + | 5.47620i | 0.736759 | + | 0.300999i | 0.715345 | − | 0.698772i | \(-0.246270\pi\) |
0.0214140 | + | 0.999771i | \(0.493183\pi\) | |||||||
\(332\) | −0.153808 | − | 2.64077i | −0.00844129 | − | 0.144931i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.68477 | − | 1.85056i | 0.201622 | − | 0.101258i | ||||
\(335\) | 0.536435 | + | 0.782142i | 0.0293086 | + | 0.0427330i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.15426 | + | 0.619476i | 0.171823 | + | 0.0337450i | 0.277884 | − | 0.960615i | \(-0.410367\pi\) |
−0.106060 | + | 0.994360i | \(0.533824\pi\) | |||||||
\(338\) | 3.74465 | − | 2.06621i | 0.203682 | − | 0.112387i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.54859 | − | 1.61303i | 0.192449 | − | 0.0874790i | ||||
\(341\) | 6.18961 | − | 0.723462i | 0.335186 | − | 0.0391777i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.74610 | + | 17.9575i | 0.418250 | + | 0.969613i | ||||
\(344\) | 3.14648 | − | 14.5258i | 0.169647 | − | 0.783177i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.0443611 | − | 0.0646801i | 0.00238487 | − | 0.00347722i | ||||
\(347\) | −4.26725 | + | 31.2418i | −0.229078 | + | 1.67715i | 0.413172 | + | 0.910653i | \(0.364421\pi\) |
−0.642250 | + | 0.766495i | \(0.721999\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.13326 | + | 0.811747i | −0.221249 | + | 0.0434518i | −0.302108 | − | 0.953274i | \(-0.597690\pi\) |
0.0808594 | + | 0.996726i | \(0.474234\pi\) | |||||||
\(350\) | −1.50799 | + | 1.26535i | −0.0806052 | + | 0.0676358i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.97530 | − | 4.17478i | −0.265185 | − | 0.222516i | ||||
\(353\) | −10.3192 | − | 5.69387i | −0.549233 | − | 0.303054i | 0.184118 | − | 0.982904i | \(-0.441057\pi\) |
−0.733351 | + | 0.679850i | \(0.762045\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −17.0436 | + | 32.3565i | −0.904581 | + | 1.71730i | ||||
\(356\) | −2.34923 | + | 9.12029i | −0.124509 | + | 0.483374i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.22895 | − | 8.02847i | −0.223507 | − | 0.424318i | ||||
\(359\) | 4.80699 | − | 1.13928i | 0.253703 | − | 0.0601287i | −0.101796 | − | 0.994805i | \(-0.532459\pi\) |
0.355499 | + | 0.934677i | \(0.384311\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.61277 | − | 8.72726i | −0.137514 | − | 0.459329i | ||||
\(362\) | 12.4819 | + | 3.47459i | 0.656036 | + | 0.182620i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 9.44122 | − | 1.47658i | 0.494854 | − | 0.0773938i | ||||
\(365\) | −21.5648 | + | 3.37268i | −1.12875 | + | 0.176534i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.660190 | + | 0.183776i | 0.0344616 | + | 0.00959305i | 0.285361 | − | 0.958420i | \(-0.407887\pi\) |
−0.250899 | + | 0.968013i | \(0.580726\pi\) | |||||||
\(368\) | 4.19988 | + | 14.0286i | 0.218934 | + | 0.731291i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −9.28601 | + | 2.20082i | −0.482757 | + | 0.114415i | ||||
\(371\) | 3.16032 | + | 5.99971i | 0.164076 | + | 0.311490i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.36083 | + | 28.5765i | −0.381129 | + | 1.47963i | 0.434295 | + | 0.900771i | \(0.356997\pi\) |
−0.815424 | + | 0.578864i | \(0.803496\pi\) | |||||||
\(374\) | 0.283972 | − | 0.539108i | 0.0146839 | − | 0.0278766i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.92037 | − | 2.71495i | −0.253749 | − | 0.140013i | ||||
\(377\) | 13.0365 | + | 10.9389i | 0.671414 | + | 0.563383i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.97283 | + | 5.85090i | −0.358170 | + | 0.300540i | −0.804061 | − | 0.594547i | \(-0.797331\pi\) |
0.445891 | + | 0.895087i | \(0.352887\pi\) | |||||||
\(380\) | 22.3937 | − | 4.39798i | 1.14877 | − | 0.225612i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.64327 | + | 12.0309i | −0.0840772 | + | 0.615554i | ||||
\(383\) | 10.1231 | − | 14.7598i | 0.517264 | − | 0.754190i | −0.474777 | − | 0.880106i | \(-0.657471\pi\) |
0.992041 | + | 0.125917i | \(0.0401872\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.61060 | − | 7.43538i | 0.0820840 | − | 0.378942i | ||||
\(386\) | −0.662355 | − | 1.53551i | −0.0337130 | − | 0.0781555i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 10.6997 | − | 1.25062i | 0.543196 | − | 0.0634905i | ||||
\(389\) | 12.2583 | − | 5.57209i | 0.621521 | − | 0.282516i | −0.0781938 | − | 0.996938i | \(-0.524915\pi\) |
0.699715 | + | 0.714422i | \(0.253310\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.13141 | + | 2.83139i | −0.259507 | + | 0.143190i | ||||
\(392\) | −1.90837 | − | 0.374791i | −0.0963870 | − | 0.0189298i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.567358 | + | 0.827229i | 0.0285831 | + | 0.0416752i | ||||
\(395\) | 29.9634 | − | 15.0482i | 1.50762 | − | 0.757158i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.76938 | − | 30.3791i | −0.0888027 | − | 1.52468i | −0.688958 | − | 0.724801i | \(-0.741932\pi\) |
0.600156 | − | 0.799883i | \(-0.295105\pi\) | |||||||
\(398\) | 1.77207 | + | 0.723971i | 0.0888259 | + | 0.0362894i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.317493 | + | 3.26412i | 0.0158747 | + | 0.163206i | ||||
\(401\) | −16.9131 | + | 15.3478i | −0.844600 | + | 0.766434i | −0.974332 | − | 0.225115i | \(-0.927724\pi\) |
0.129732 | + | 0.991549i | \(0.458588\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.22422 | − | 10.9410i | −0.210423 | − | 0.545010i | ||||
\(404\) | −13.8867 | + | 24.0526i | −0.690891 | + | 1.19666i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 5.04068 | + | 8.73072i | 0.250165 | + | 0.433298i | ||||
\(407\) | 5.20363 | − | 6.45149i | 0.257934 | − | 0.319788i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.50228 | + | 30.0178i | 0.321517 | + | 1.48429i | 0.796687 | + | 0.604393i | \(0.206584\pi\) |
−0.475170 | + | 0.879894i | \(0.657613\pi\) | |||||||
\(410\) | −0.303388 | + | 0.216849i | −0.0149833 | + | 0.0107094i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −23.3229 | + | 18.0766i | −1.14904 | + | 0.890572i | ||||
\(413\) | 10.2003 | − | 6.70886i | 0.501925 | − | 0.330122i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.230453 | + | 3.95672i | −0.0113125 | + | 0.194228i | ||||
\(416\) | −5.27292 | + | 11.0274i | −0.258526 | + | 0.540661i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.34564 | − | 2.68781i | 0.114729 | − | 0.131465i | ||||
\(419\) | 14.1394 | + | 8.53319i | 0.690756 | + | 0.416873i | 0.818170 | − | 0.574976i | \(-0.194989\pi\) |
−0.127414 | + | 0.991850i | \(0.540668\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.863691 | − | 8.87952i | 0.0420937 | − | 0.432761i | −0.950450 | − | 0.310876i | \(-0.899378\pi\) |
0.992544 | − | 0.121885i | \(-0.0388940\pi\) | |||||||
\(422\) | 2.21243 | + | 2.97181i | 0.107700 | + | 0.144666i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −5.58966 | − | 0.653338i | −0.271458 | − | 0.0317289i | ||||
\(425\) | −1.24985 | + | 0.400749i | −0.0606268 | + | 0.0194392i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.81928 | + | 16.3526i | 0.378401 | + | 0.791359i | ||||
\(428\) | −6.56263 | + | 2.68113i | −0.317217 | + | 0.129597i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.30701 | + | 9.66510i | −0.159478 | + | 0.466093i | ||||
\(431\) | 1.08191 | + | 0.393783i | 0.0521138 | + | 0.0189679i | 0.367946 | − | 0.929847i | \(-0.380061\pi\) |
−0.315832 | + | 0.948815i | \(0.602284\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 23.5928 | − | 8.58707i | 1.13380 | − | 0.412668i | 0.294127 | − | 0.955766i | \(-0.404971\pi\) |
0.839669 | + | 0.543098i | \(0.182749\pi\) | |||||||
\(434\) | −0.134725 | − | 6.94641i | −0.00646703 | − | 0.333438i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 17.2261 | + | 27.3311i | 0.824981 | + | 1.30892i | ||||
\(437\) | −33.0558 | + | 9.20171i | −1.58127 | + | 0.440177i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.59257 | + | 0.0617990i | 0.0760092 | + | 0.00294950i | 0.0767519 | − | 0.997050i | \(-0.475545\pi\) |
−0.000742706 | 1.00000i | \(0.500236\pi\) | ||||||||
\(440\) | 4.33276 | + | 4.59246i | 0.206556 | + | 0.218937i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.11584 | − | 0.264459i | −0.0530751 | − | 0.0125790i | ||||
\(443\) | −1.91964 | − | 7.45249i | −0.0912047 | − | 0.354078i | 0.906467 | − | 0.422276i | \(-0.138769\pi\) |
−0.997672 | + | 0.0681981i | \(0.978275\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.08252 | − | 13.1641i | 0.240935 | − | 0.624036i | ||||
\(446\) | 5.83162 | + | 7.23008i | 0.276135 | + | 0.342354i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.77530 | − | 2.72200i | 0.131121 | − | 0.128602i | ||||
\(449\) | 17.8131 | − | 18.8808i | 0.840652 | − | 0.891040i | −0.154639 | − | 0.987971i | \(-0.549421\pi\) |
0.995291 | + | 0.0969315i | \(0.0309028\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.0928918 | − | 0.310280i | 0.00437410 | − | 0.0146105i | ||||
\(452\) | −16.3764 | + | 25.9830i | −0.770283 | + | 1.22214i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 11.7431 | + | 11.5175i | 0.551130 | + | 0.540545i | ||||
\(455\) | −14.3071 | + | 0.555182i | −0.670729 | + | 0.0260273i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −11.4845 | + | 6.93091i | −0.537220 | + | 0.324214i | −0.759222 | − | 0.650832i | \(-0.774420\pi\) |
0.222001 | + | 0.975046i | \(0.428741\pi\) | |||||||
\(458\) | 1.16397 | − | 6.60123i | 0.0543889 | − | 0.308455i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4.83735 | − | 27.4340i | −0.225543 | − | 1.27912i | ||||
\(461\) | 24.8318 | + | 28.4541i | 1.15653 | + | 1.32524i | 0.936875 | + | 0.349663i | \(0.113704\pi\) |
0.219658 | + | 0.975577i | \(0.429506\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −15.2674 | − | 11.8331i | −0.709537 | − | 0.549933i | 0.192655 | − | 0.981267i | \(-0.438290\pi\) |
−0.902193 | + | 0.431334i | \(0.858043\pi\) | |||||||
\(464\) | 16.7448 | + | 1.30151i | 0.777356 | + | 0.0604209i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.18265 | + | 1.98065i | 0.101109 | + | 0.0917516i | ||||
\(467\) | 0.200077 | − | 0.268750i | 0.00925846 | − | 0.0124363i | −0.797470 | − | 0.603359i | \(-0.793829\pi\) |
0.806728 | + | 0.590923i | \(0.201236\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.363745 | + | 0.843256i | −0.0167962 | + | 0.0389380i | ||||
\(470\) | 3.14231 | + | 2.24599i | 0.144944 | + | 0.103600i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.196476 | + | 10.1303i | −0.00904354 | + | 0.466283i | ||||
\(473\) | −2.87221 | − | 8.39435i | −0.132064 | − | 0.385972i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.66132 | + | 0.595485i | −0.351525 | + | 0.0273227i | ||||
\(476\) | 3.15351 | + | 2.07409i | 0.144541 | + | 0.0950660i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.864303 | + | 0.434069i | 0.0395323 | + | 0.0198539i | ||||
\(479\) | 2.78744 | + | 20.4077i | 0.127362 | + | 0.932451i | 0.937934 | + | 0.346813i | \(0.112736\pi\) |
−0.810573 | + | 0.585638i | \(0.800844\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −14.2007 | − | 6.45502i | −0.647497 | − | 0.294324i | ||||
\(482\) | 6.08994 | + | 1.95266i | 0.277389 | + | 0.0889413i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 15.9352 | + | 2.49222i | 0.724327 | + | 0.113283i | ||||
\(485\) | −16.1407 | −0.732913 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.04670 | −0.274002 | −0.137001 | − | 0.990571i | \(-0.543746\pi\) | ||||
−0.137001 | + | 0.990571i | \(0.543746\pi\) | |||||||
\(488\) | −14.8621 | − | 2.32439i | −0.672777 | − | 0.105220i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.27286 | + | 0.408126i | 0.0575020 | + | 0.0184373i | ||||
\(491\) | −21.1698 | − | 9.62284i | −0.955378 | − | 0.434273i | −0.125423 | − | 0.992103i | \(-0.540029\pi\) |
−0.829955 | + | 0.557831i | \(0.811634\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.909669 | + | 6.65996i | 0.0409694 | + | 0.299949i | ||||
\(494\) | −5.99971 | − | 3.01317i | −0.269940 | − | 0.135569i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.67051 | − | 6.36039i | −0.434219 | − | 0.285590i | ||||
\(497\) | −35.3052 | + | 2.74414i | −1.58366 | + | 0.123092i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.521025 | − | 1.52275i | −0.0233243 | − | 0.0681678i | 0.933872 | − | 0.357608i | \(-0.116408\pi\) |
−0.957196 | + | 0.289440i | \(0.906531\pi\) | |||||||
\(500\) | −0.296364 | + | 15.2805i | −0.0132538 | + | 0.683363i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −13.0486 | − | 9.32660i | −0.582389 | − | 0.416267i | ||||
\(503\) | 2.27278 | − | 5.26889i | 0.101338 | − | 0.234928i | −0.860003 | − | 0.510289i | \(-0.829538\pi\) |
0.961341 | + | 0.275361i | \(0.0887975\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 24.8499 | − | 33.3792i | 1.10580 | − | 1.48535i | ||||
\(506\) | −3.22475 | − | 2.92630i | −0.143358 | − | 0.130090i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 25.5637 | + | 1.98697i | 1.13421 | + | 0.0881574i | ||||
\(509\) | −9.61486 | − | 7.45208i | −0.426171 | − | 0.330308i | 0.376833 | − | 0.926281i | \(-0.377013\pi\) |
−0.803004 | + | 0.595974i | \(0.796766\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −13.8968 | − | 15.9240i | −0.614759 | − | 0.704436i | ||||
\(512\) | 3.69848 | + | 20.9751i | 0.163451 | + | 0.926979i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1.28399 | + | 7.28184i | −0.0566342 | + | 0.321188i | ||||
\(515\) | 37.8532 | − | 22.8445i | 1.66801 | − | 1.00665i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.35211 | + | 0.130077i | −0.147426 | + | 0.00572078i | ||||
\(518\) | −6.59726 | − | 6.47055i | −0.289867 | − | 0.284300i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 6.33579 | − | 10.0524i | 0.277843 | − | 0.440828i | ||||
\(521\) | 12.2266 | − | 40.8398i | 0.535659 | − | 1.78922i | −0.0748258 | − | 0.997197i | \(-0.523840\pi\) |
0.610485 | − | 0.792028i | \(-0.290975\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 23.9904 | − | 25.4284i | 1.04903 | − | 1.11190i | 0.0554838 | − | 0.998460i | \(-0.482330\pi\) |
0.993544 | − | 0.113445i | \(-0.0361886\pi\) | |||||||
\(524\) | 15.6419 | − | 15.3415i | 0.683320 | − | 0.670196i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.38856 | − | 4.20115i | −0.147748 | − | 0.183179i | ||||
\(527\) | 1.66849 | − | 4.32151i | 0.0726807 | − | 0.188248i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.71043 | + | 18.2870i | 0.204801 | + | 0.795087i | ||||
\(530\) | 3.76371 | + | 0.892016i | 0.163485 | + | 0.0387467i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 15.1647 | + | 16.0736i | 0.657472 | + | 0.696880i | ||||
\(533\) | −0.609096 | − | 0.0236357i | −0.0263829 | − | 0.00102378i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 10.2328 | − | 2.84849i | 0.442402 | − | 0.123151i | ||||
\(536\) | −0.406384 | − | 0.644771i | −0.0175531 | − | 0.0278499i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.144107 | − | 7.43011i | −0.00621288 | − | 0.320335i | ||||
\(539\) | −1.09093 | + | 0.397066i | −0.0469897 | + | 0.0171028i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.31400 | − | 2.29811i | −0.271460 | − | 0.0988034i | 0.202703 | − | 0.979240i | \(-0.435027\pi\) |
−0.474164 | + | 0.880437i | \(0.657249\pi\) | |||||||
\(542\) | −2.86299 | + | 8.36741i | −0.122976 | + | 0.359411i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.46935 | + | 1.82593i | −0.191622 | + | 0.0782862i | ||||
\(545\) | −20.8816 | − | 43.6701i | −0.894469 | − | 1.87062i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −17.0769 | + | 5.47550i | −0.730157 | + | 0.234115i | −0.647074 | − | 0.762427i | \(-0.724007\pi\) |
−0.0830829 | + | 0.996543i | \(0.526477\pi\) | |||||||
\(548\) | −10.9054 | − | 1.27466i | −0.465856 | − | 0.0544507i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.582361 | − | 0.782246i | −0.0248320 | − | 0.0333551i | ||||
\(551\) | −3.80988 | + | 39.1690i | −0.162306 | + | 1.66866i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 27.7973 | + | 16.7758i | 1.18206 | + | 0.713379i | ||||
\(554\) | 0.690889 | − | 0.791671i | 0.0293531 | − | 0.0336349i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.05248 | + | 18.9317i | −0.383911 | + | 0.802881i | ||||
\(557\) | −1.20197 | + | 20.6371i | −0.0509293 | + | 0.874422i | 0.872013 | + | 0.489483i | \(0.162815\pi\) |
−0.922942 | + | 0.384939i | \(0.874222\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −13.9504 | + | 9.17533i | −0.590040 | + | 0.388075i | ||||
\(560\) | −11.1687 | + | 8.65639i | −0.471963 | + | 0.365799i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −3.75488 | + | 2.68383i | −0.158390 | + | 0.113211i | ||||
\(563\) | 0.390465 | + | 1.80259i | 0.0164561 | + | 0.0759699i | 0.984823 | − | 0.173559i | \(-0.0555267\pi\) |
−0.968367 | + | 0.249529i | \(0.919724\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 28.8908 | − | 35.8190i | 1.21545 | − | 1.50692i | ||||
\(566\) | −4.36314 | − | 7.55719i | −0.183397 | − | 0.317652i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.6942 | − | 25.4510i | 0.616553 | − | 1.06790i | ||||
\(569\) | 4.61193 | + | 11.9452i | 0.193342 | + | 0.500769i | 0.995325 | − | 0.0965777i | \(-0.0307896\pi\) |
−0.801983 | + | 0.597346i | \(0.796222\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.63958 | − | 7.84000i | 0.361555 | − | 0.328094i | −0.470900 | − | 0.882187i | \(-0.656071\pi\) |
0.832455 | + | 0.554093i | \(0.186935\pi\) | |||||||
\(572\) | 0.458310 | + | 4.71183i | 0.0191629 | + | 0.197012i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.334277 | − | 0.136567i | −0.0139525 | − | 0.00570021i | ||||
\(575\) | 0.545401 | + | 9.36417i | 0.0227448 | + | 0.390513i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.85339 | − | 1.93525i | 0.160419 | − | 0.0805654i | −0.366778 | − | 0.930308i | \(-0.619539\pi\) |
0.527197 | + | 0.849743i | \(0.323243\pi\) | |||||||
\(578\) | 5.05455 | + | 7.36971i | 0.210241 | + | 0.306539i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −31.3511 | − | 6.15716i | −1.30178 | − | 0.255662i | ||||
\(581\) | −3.36022 | + | 1.85409i | −0.139405 | + | 0.0769206i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.05829 | + | 1.39016i | −0.126661 | + | 0.0575746i | ||||
\(584\) | 17.4216 | − | 2.03629i | 0.720909 | − | 0.0842622i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.07002 | − | 9.43537i | −0.168131 | − | 0.389771i | ||||
\(587\) | 2.96724 | − | 13.6983i | 0.122471 | − | 0.565390i | −0.874320 | − | 0.485349i | \(-0.838692\pi\) |
0.996792 | − | 0.0800409i | \(-0.0255051\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.3400 | − | 22.3662i | 0.632073 | − | 0.921584i | ||||
\(590\) | 0.942435 | − | 6.89984i | 0.0387994 | − | 0.284062i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −15.1063 | + | 2.96678i | −0.620865 | + | 0.121934i | ||||
\(593\) | 13.9492 | − | 11.7048i | 0.572825 | − | 0.480658i | −0.309757 | − | 0.950816i | \(-0.600248\pi\) |
0.882582 | + | 0.470158i | \(0.155803\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.33223 | − | 3.63517i | −0.177604 | − | 0.149028i | ||||
\(596\) | −22.1946 | − | 12.2465i | −0.909127 | − | 0.501635i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.81936 | + | 7.25088i | −0.156185 | + | 0.296511i | ||||
\(599\) | −7.91124 | + | 30.7133i | −0.323244 | + | 1.25491i | 0.575994 | + | 0.817454i | \(0.304615\pi\) |
−0.899239 | + | 0.437458i | \(0.855879\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −20.3287 | − | 38.5932i | −0.829227 | − | 1.57425i | −0.818642 | − | 0.574304i | \(-0.805273\pi\) |
−0.0105846 | − | 0.999944i | \(-0.503369\pi\) | |||||||
\(602\) | −9.62481 | + | 2.28112i | −0.392278 | + | 0.0929716i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 10.9966 | + | 36.7313i | 0.447446 | + | 1.49458i | ||||
\(605\) | −23.2811 | − | 6.48072i | −0.946509 | − | 0.263479i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −16.1863 | + | 2.53148i | −0.656980 | + | 0.102750i | −0.474218 | − | 0.880407i | \(-0.657269\pi\) |
−0.182762 | + | 0.983157i | \(0.558504\pi\) | |||||||
\(608\) | −27.9266 | + | 4.36764i | −1.13257 | + | 0.177131i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9.96032 | + | 2.77264i | 0.403281 | + | 0.112261i | ||||
\(611\) | 1.81071 | + | 6.04818i | 0.0732533 | + | 0.244683i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −12.4133 | + | 2.94200i | −0.501367 | + | 0.118826i | −0.473515 | − | 0.880786i | \(-0.657015\pi\) |
−0.0278521 | + | 0.999612i | \(0.508867\pi\) | |||||||
\(614\) | 4.47657 | + | 8.49856i | 0.180660 | + | 0.342974i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.52499 | + | 5.92039i | −0.0614438 | + | 0.238539i | ||||
\(617\) | 11.9871 | − | 22.7570i | 0.482583 | − | 0.916161i | −0.515653 | − | 0.856797i | \(-0.672451\pi\) |
0.998236 | − | 0.0593641i | \(-0.0189073\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.64890 | + | 2.01338i | 0.146662 | + | 0.0809245i | 0.554746 | − | 0.832020i | \(-0.312815\pi\) |
−0.408084 | + | 0.912944i | \(0.633803\pi\) | |||||||
\(620\) | 16.8674 | + | 14.1534i | 0.677410 | + | 0.568414i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.0502 | − | 8.43309i | 0.402975 | − | 0.338136i | ||||
\(623\) | 13.4078 | − | 2.63320i | 0.537171 | − | 0.105497i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.07972 | − | 29.8689i | 0.163189 | − | 1.19475i | ||||
\(626\) | −1.63990 | + | 2.39103i | −0.0655436 | + | 0.0955649i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 5.20548 | − | 24.0312i | 0.207721 | − | 0.958949i | ||||
\(629\) | −2.44038 | − | 5.65743i | −0.0973042 | − | 0.225576i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −26.7662 | + | 3.12853i | −1.06555 | + | 0.124545i | −0.630752 | − | 0.775985i | \(-0.717253\pi\) |
−0.434796 | + | 0.900529i | \(0.643179\pi\) | |||||||
\(632\) | −24.5294 | + | 11.1500i | −0.975728 | + | 0.443523i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.08422 | − | 1.70180i | 0.122490 | − | 0.0675872i | ||||
\(635\) | −37.6979 | − | 7.40363i | −1.49600 | − | 0.293804i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.23579 | + | 1.80183i | 0.0489638 | + | 0.0713910i | ||||
\(638\) | −4.46311 | + | 2.24146i | −0.176696 | + | 0.0887402i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.70340 | − | 29.2463i | −0.0673328 | − | 1.15606i | ||||
\(641\) | 0.371272 | + | 0.151681i | 0.0146644 | + | 0.00599105i | 0.385520 | − | 0.922699i | \(-0.374022\pi\) |
−0.370856 | + | 0.928690i | \(0.620936\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.701051 | + | 7.20744i | 0.0276468 | + | 0.284234i | 0.998928 | + | 0.0462979i | \(0.0147424\pi\) |
−0.971281 | + | 0.237936i | \(0.923529\pi\) | |||||||
\(644\) | 19.9756 | − | 18.1269i | 0.787150 | − | 0.714300i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.955138 | − | 2.47387i | −0.0375794 | − | 0.0973331i | ||||
\(647\) | 20.5924 | − | 35.6671i | 0.809572 | − | 1.40222i | −0.103589 | − | 0.994620i | \(-0.533033\pi\) |
0.913161 | − | 0.407599i | \(-0.133634\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.02415 | + | 5.23798i | 0.118708 | + | 0.205609i | ||||
\(650\) | −1.15226 | + | 1.42858i | −0.0451955 | + | 0.0560336i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5.66871 | − | 26.1697i | −0.222004 | − | 1.02488i | ||||
\(653\) | 13.1879 | − | 9.42611i | 0.516081 | − | 0.368872i | −0.293427 | − | 0.955981i | \(-0.594796\pi\) |
0.809508 | + | 0.587109i | \(0.199734\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −25.9466 | + | 20.1102i | −1.01382 | + | 0.785769i | ||||
\(656\) | −0.502612 | + | 0.330573i | −0.0196237 | + | 0.0129067i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.217464 | + | 3.73371i | −0.00847763 | + | 0.145555i | ||||
\(659\) | −5.21552 | + | 10.9073i | −0.203168 | + | 0.424889i | −0.978381 | − | 0.206810i | \(-0.933692\pi\) |
0.775213 | + | 0.631700i | \(0.217642\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −11.9399 | + | 13.6816i | −0.464409 | + | 0.532154i | −0.937094 | − | 0.349078i | \(-0.886495\pi\) |
0.472685 | + | 0.881232i | \(0.343285\pi\) | |||||||
\(662\) | 6.84711 | + | 4.13225i | 0.266121 | + | 0.160605i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.308343 | − | 3.17005i | 0.0119660 | − | 0.123022i | ||||
\(665\) | −19.7720 | − | 26.5583i | −0.766724 | − | 1.02989i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 47.7128 | + | 5.57682i | 1.84745 | + | 0.215935i | ||||
\(668\) | −12.0494 | + | 3.86348i | −0.466205 | + | 0.149483i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.225975 | + | 0.472586i | 0.00873016 | + | 0.0182576i | ||||
\(671\) | −8.31269 | + | 3.39611i | −0.320908 | + | 0.131105i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.94282 | − | 5.67811i | 0.0748903 | − | 0.218875i | −0.902353 | − | 0.430999i | \(-0.858161\pi\) |
0.977243 | + | 0.212123i | \(0.0680379\pi\) | |||||||
\(674\) | 1.66837 | + | 0.607237i | 0.0642632 | + | 0.0233899i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.3332 | + | 4.48892i | −0.474354 | + | 0.172651i | ||||
\(677\) | −0.583681 | − | 30.0944i | −0.0224327 | − | 1.15662i | −0.826802 | − | 0.562493i | \(-0.809842\pi\) |
0.804369 | − | 0.594130i | \(-0.202503\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.33353 | − | 13.2220i | −0.319811 | − | 0.507415i | ||||
\(680\) | 4.52146 | − | 1.25864i | 0.173390 | − | 0.0482665i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.43933 | + | 0.133462i | 0.131699 | + | 0.00511052i | ||||
\(683\) | −12.5939 | − | 13.3488i | −0.481894 | − | 0.510778i | 0.440117 | − | 0.897940i | \(-0.354937\pi\) |
−0.922012 | + | 0.387162i | \(0.873455\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 16.0076 | + | 3.79386i | 0.611617 | + | 0.144956i | ||||
\(686\) | 2.69439 | + | 10.4602i | 0.102872 | + | 0.399374i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.93531 | + | 15.3729i | −0.226282 | + | 0.586084i | ||||
\(689\) | 3.96929 | + | 4.92115i | 0.151218 | + | 0.187481i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.4969 | + | 13.2377i | −0.513448 | + | 0.503586i | −0.910103 | − | 0.414382i | \(-0.863998\pi\) |
0.396655 | + | 0.917968i | \(0.370171\pi\) | |||||||
\(692\) | −0.165169 | + | 0.175069i | −0.00627878 | + | 0.00665512i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.99488 | + | 16.6841i | −0.189603 | + | 0.633318i | ||||
\(695\) | 16.7648 | − | 26.5992i | 0.635927 | − | 1.00897i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.171888 | − | 0.168587i | −0.00651073 | − | 0.00638568i | ||||
\(698\) | −2.32475 | + | 0.0902107i | −0.0879929 | + | 0.00341453i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 5.17208 | − | 3.12137i | 0.195486 | − | 0.117977i | ||||
\(701\) | −4.51213 | + | 25.5896i | −0.170421 | + | 0.966505i | 0.772876 | + | 0.634557i | \(0.218817\pi\) |
−0.943297 | + | 0.331949i | \(0.892294\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.26393 | − | 35.5245i | −0.236249 | − | 1.33983i | ||||
\(704\) | 1.26626 | + | 1.45098i | 0.0477241 | + | 0.0546857i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.14509 | − | 3.98775i | −0.193638 | − | 0.150081i | ||||
\(707\) | 40.1734 | + | 3.12252i | 1.51088 | + | 0.117435i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 30.6177 | + | 27.7841i | 1.14987 | + | 1.04345i | 0.998488 | + | 0.0549776i | \(0.0175087\pi\) |
0.151384 | + | 0.988475i | \(0.451627\pi\) | |||||||
\(710\) | −12.0619 | + | 16.2019i | −0.452675 | + | 0.608048i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.49143 | + | 10.4123i | −0.168324 | + | 0.390218i | ||||
\(713\) | −26.9332 | − | 19.2507i | −1.00866 | − | 0.720946i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.137546 | − | 7.09181i | 0.00514391 | − | 0.265219i | ||||
\(716\) | 9.01485 | + | 26.3469i | 0.336901 | + | 0.984629i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.72034 | − | 0.211442i | 0.101522 | − | 0.00789093i | ||||
\(719\) | −42.1440 | − | 27.7186i | −1.57171 | − | 1.03373i | −0.972432 | − | 0.233185i | \(-0.925085\pi\) |
−0.599275 | − | 0.800543i | \(-0.704544\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 38.2574 | + | 19.2136i | 1.42478 | + | 0.715551i | ||||
\(722\) | −0.680936 | − | 4.98534i | −0.0253418 | − | 0.185535i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −36.1965 | − | 16.4533i | −1.34523 | − | 0.611484i | ||||
\(725\) | 10.2444 | + | 3.28475i | 0.380469 | + | 0.121993i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 24.6184 | + | 3.85024i | 0.913044 | + | 0.142798i | 0.593556 | − | 0.804793i | \(-0.297724\pi\) |
0.319488 | + | 0.947590i | \(0.396489\pi\) | |||||||
\(728\) | 11.5059 | 0.426436 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −12.0555 | −0.446194 | ||||||||
\(731\) | −6.51595 | − | 1.01908i | −0.241001 | − | 0.0376919i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 27.7866 | + | 8.90941i | 1.02632 | + | 0.329077i | 0.770359 | − | 0.637610i | \(-0.220077\pi\) |
0.255962 | + | 0.966687i | \(0.417608\pi\) | |||||||
\(734\) | 0.344573 | + | 0.156628i | 0.0127184 | + | 0.00578123i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.66936 | + | 34.1858i | 0.172115 | + | 1.26010i | ||||
\(737\) | −0.406568 | − | 0.204186i | −0.0149761 | − | 0.00752129i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −13.3267 | − | 8.76508i | −0.490229 | − | 0.322429i | 0.280214 | − | 0.959938i | \(-0.409595\pi\) |
−0.770443 | + | 0.637509i | \(0.779965\pi\) | |||||||
\(740\) | 29.1979 | − | 2.26944i | 1.07334 | − | 0.0834264i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.21251 | + | 3.54368i | 0.0445125 | + | 0.130093i | ||||
\(743\) | 0.208844 | − | 10.7679i | 0.00766174 | − | 0.395037i | −0.976276 | − | 0.216528i | \(-0.930527\pi\) |
0.983938 | − | 0.178510i | \(-0.0571275\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 30.8995 | + | 22.0857i | 1.13207 | + | 0.809156i | ||||
\(746\) | −6.45554 | + | 14.9656i | −0.236354 | + | 0.547930i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.11661 | + | 1.49987i | −0.0408274 | + | 0.0548407i | ||||
\(749\) | 7.61664 | + | 6.91174i | 0.278306 | + | 0.252549i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.33334 | − | 0.492266i | −0.231107 | − | 0.0179630i | −0.0385833 | − | 0.999255i | \(-0.512284\pi\) |
−0.192524 | + | 0.981292i | \(0.561667\pi\) | |||||||
\(752\) | 4.92478 | + | 3.81699i | 0.179588 | + | 0.139191i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 6.18028 | + | 7.08181i | 0.225072 | + | 0.257904i | ||||
\(755\) | −9.97584 | − | 56.5758i | −0.363058 | − | 2.05901i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.54698 | + | 20.1159i | −0.128917 | + | 0.731125i | 0.849987 | + | 0.526804i | \(0.176610\pi\) |
−0.978904 | + | 0.204321i | \(0.934501\pi\) | |||||||
\(758\) | −4.30432 | + | 2.59767i | −0.156340 | + | 0.0943516i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 27.4575 | − | 1.06548i | 0.995988 | − | 0.0386489i | ||||
\(761\) | −18.5610 | − | 18.2045i | −0.672837 | − | 0.659914i | 0.281184 | − | 0.959654i | \(-0.409273\pi\) |
−0.954021 | + | 0.299740i | \(0.903100\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 24.9921 | − | 39.6527i | 0.904775 | − | 1.43552i | ||||
\(764\) | 10.6871 | − | 35.6974i | 0.386645 | − | 1.29148i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6.78368 | − | 7.19028i | 0.245104 | − | 0.259795i | ||||
\(767\) | 8.12659 | − | 7.97050i | 0.293434 | − | 0.287798i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.70783 | + | 7.07660i | 0.205830 | + | 0.255189i | 0.870751 | − | 0.491725i | \(-0.163633\pi\) |
−0.664921 | + | 0.746914i | \(0.731535\pi\) | |||||||
\(770\) | 1.51345 | − | 3.91993i | 0.0545410 | − | 0.141265i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.28009 | + | 4.96961i | 0.0460714 | + | 0.178860i | ||||
\(773\) | −3.69012 | − | 0.874575i | −0.132724 | − | 0.0314563i | 0.163717 | − | 0.986507i | \(-0.447652\pi\) |
−0.296441 | + | 0.955051i | \(0.595800\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.08789 | − | 5.39285i | −0.182762 | − | 0.193717i | ||||
\(776\) | 12.9609 | + | 0.502943i | 0.465270 | + | 0.0180546i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7.16475 | − | 1.99444i | 0.256869 | − | 0.0715043i | ||||
\(779\) | −0.751600 | − | 1.19250i | −0.0269289 | − | 0.0427256i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.340184 | − | 17.5398i | −0.0121727 | − | 0.627624i | ||||
\(782\) | −3.04179 | + | 1.10712i | −0.108774 | + | 0.0395905i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 2.02626 | + | 0.737500i | 0.0723666 | + | 0.0263393i | ||||
\(785\) | −11.9268 | + | 34.8574i | −0.425686 | + | 1.24412i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −28.5766 | + | 11.6748i | −1.01865 | + | 0.416163i | −0.825135 | − | 0.564935i | \(-0.808901\pi\) |
−0.193511 | + | 0.981098i | \(0.561988\pi\) | |||||||
\(788\) | −1.32792 | − | 2.77711i | −0.0473053 | − | 0.0989306i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 17.6349 | − | 5.65442i | 0.627423 | − | 0.201175i | ||||
\(791\) | 44.2584 | + | 5.17306i | 1.57365 | + | 0.183933i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 10.0918 | + | 13.5556i | 0.358371 | + | 0.481375i | ||||
\(794\) | 1.62714 | − | 16.7285i | 0.0577451 | − | 0.593672i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −5.02946 | − | 3.03530i | −0.178265 | − | 0.107583i | ||||
\(797\) | 30.9389 | − | 35.4520i | 1.09591 | − | 1.25578i | 0.131516 | − | 0.991314i | \(-0.458016\pi\) |
0.964396 | − | 0.264462i | \(-0.0851943\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.07574 | + | 2.24972i | −0.0380570 | + | 0.0795895i | ||||
\(800\) | −0.449291 | + | 7.71402i | −0.0158848 | + | 0.272732i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −10.5391 | + | 6.93168i | −0.372149 | + | 0.244766i | ||||
\(803\) | 8.27576 | − | 6.41420i | 0.292045 | − | 0.226352i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −32.8805 | + | 23.5016i | −1.15889 | + | 0.828322i | ||||
\(806\) | −1.37135 | − | 6.33087i | −0.0483039 | − | 0.222995i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −20.9944 | + | 26.0290i | −0.738581 | + | 0.915697i | ||||
\(809\) | 14.5495 | + | 25.2005i | 0.511533 | + | 0.886001i | 0.999911 | + | 0.0133688i | \(0.00425554\pi\) |
−0.488378 | + | 0.872632i | \(0.662411\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −7.91006 | + | 13.7006i | −0.277760 | + | 0.481094i | −0.970828 | − | 0.239778i | \(-0.922925\pi\) |
0.693068 | + | 0.720872i | \(0.256259\pi\) | |||||||
\(812\) | −11.1429 | − | 28.8609i | −0.391041 | − | 1.01282i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.39015 | − | 3.07640i | 0.118825 | − | 0.107828i | ||||
\(815\) | 3.88404 | + | 39.9314i | 0.136052 | + | 1.39874i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −35.7445 | − | 14.6032i | −1.25054 | − | 0.510902i | ||||
\(818\) | 0.986368 | + | 16.9353i | 0.0344875 | + | 0.592128i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.02267 | − | 0.513604i | 0.0357132 | − | 0.0179358i | ||||
\(821\) | −16.6581 | − | 24.2881i | −0.581372 | − | 0.847661i | 0.416744 | − | 0.909024i | \(-0.363171\pi\) |
−0.998115 | + | 0.0613633i | \(0.980455\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.50952 | − | 1.47482i | −0.261766 | − | 0.0514091i | 0.0601075 | − | 0.998192i | \(-0.480856\pi\) |
−0.321873 | + | 0.946783i | \(0.604312\pi\) | |||||||
\(824\) | −31.1078 | + | 17.1645i | −1.08369 | + | 0.597955i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6.13875 | − | 2.79040i | 0.213594 | − | 0.0970905i | ||||
\(827\) | −41.5885 | + | 4.86100i | −1.44617 | + | 0.169034i | −0.802677 | − | 0.596414i | \(-0.796591\pi\) |
−0.643498 | + | 0.765448i | \(0.722517\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −12.6568 | − | 29.3418i | −0.439589 | − | 1.01908i | −0.983659 | − | 0.180042i | \(-0.942377\pi\) |
0.544070 | − | 0.839040i | \(-0.316882\pi\) | |||||||
\(830\) | −0.463437 | + | 2.13946i | −0.0160861 | + | 0.0742618i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.04997 | − | 2.98893i | 0.0710700 | − | 0.103623i | ||||
\(833\) | −0.116790 | + | 0.855057i | −0.00404655 | + | 0.0296260i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 18.6038 | − | 3.65366i | 0.643810 | − | 0.126440i | ||||
\(836\) | −8.38628 | + | 7.03692i | −0.290046 | + | 0.243377i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 6.98744 | + | 5.86316i | 0.241377 | + | 0.202540i | ||||
\(839\) | −0.817337 | − | 0.450988i | −0.0282176 | − | 0.0155698i | 0.468941 | − | 0.883229i | \(-0.344636\pi\) |
−0.497159 | + | 0.867660i | \(0.665623\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.1615 | − | 23.0881i | 0.419364 | − | 0.796142i | ||||
\(842\) | 1.22912 | − | 4.77173i | 0.0423582 | − | 0.164445i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −5.29872 | − | 10.0594i | −0.182389 | − | 0.346258i | ||||
\(845\) | 19.1349 | − | 4.53507i | 0.658262 | − | 0.156011i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6.71128 | − | 22.4172i | −0.230602 | − | 0.770265i | ||||
\(848\) | 6.01113 | + | 1.67331i | 0.206423 | + | 0.0574618i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.716230 | + | 0.112016i | −0.0245665 | + | 0.00384213i | ||||
\(851\) | −43.5033 | + | 6.80380i | −1.49127 | + | 0.233231i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −31.3191 | − | 8.71827i | −1.07235 | − | 0.298508i | −0.313373 | − | 0.949630i | \(-0.601459\pi\) |
−0.758973 | + | 0.651122i | \(0.774299\pi\) | |||||||
\(854\) | 2.87128 | + | 9.59075i | 0.0982532 | + | 0.328189i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −8.30565 | + | 1.96847i | −0.283881 | + | 0.0672811i | ||||
\(857\) | 0.767309 | + | 1.45670i | 0.0262108 | + | 0.0497599i | 0.897517 | − | 0.440979i | \(-0.145369\pi\) |
−0.871307 | + | 0.490739i | \(0.836727\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.1869 | − | 47.3124i | 0.415812 | − | 1.61428i | −0.327168 | − | 0.944966i | \(-0.606094\pi\) |
0.742980 | − | 0.669314i | \(-0.233412\pi\) | |||||||
\(860\) | 14.6096 | − | 27.7356i | 0.498182 | − | 0.945776i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.556777 | + | 0.307217i | 0.0189639 | + | 0.0104638i | ||||
\(863\) | 20.8546 | + | 17.4991i | 0.709898 | + | 0.595675i | 0.924571 | − | 0.381011i | \(-0.124424\pi\) |
−0.214672 | + | 0.976686i | \(0.568868\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.276255 | − | 0.231805i | 0.00939294 | − | 0.00788161i | ||||
\(866\) | 13.6071 | − | 2.67235i | 0.462389 | − | 0.0908102i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −2.88539 | + | 21.1248i | −0.0979364 | + | 0.717021i | ||||
\(869\) | −9.09743 | + | 13.2644i | −0.308609 | + | 0.449963i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.181268 | + | 0.836828i | −0.00614205 | + | 0.0283548i | ||||
\(872\) | 15.4071 | + | 35.7176i | 0.521749 | + | 1.20955i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −18.8234 | + | 2.20014i | −0.636712 | + | 0.0744209i | ||||
\(875\) | 20.1859 | − | 9.17564i | 0.682409 | − | 0.310193i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 48.8434 | − | 26.9506i | 1.64932 | − | 0.910058i | 0.662346 | − | 0.749198i | \(-0.269561\pi\) |
0.986977 | − | 0.160861i | \(-0.0514269\pi\) | |||||||
\(878\) | 0.863771 | + | 0.169639i | 0.0291508 | + | 0.00572504i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −3.95944 | − | 5.77300i | −0.133473 | − | 0.194608i | ||||
\(881\) | −21.5040 | + | 10.7997i | −0.724487 | + | 0.363851i | −0.772516 | − | 0.634995i | \(-0.781002\pi\) |
0.0480292 | + | 0.998846i | \(0.484706\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.827516 | − | 14.2079i | −0.0278481 | − | 0.478134i | −0.983185 | − | 0.182614i | \(-0.941544\pi\) |
0.955337 | − | 0.295520i | \(-0.0954929\pi\) | |||||||
\(884\) | 3.25772 | + | 1.33093i | 0.109569 | + | 0.0447639i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.411497 | − | 4.23055i | −0.0138245 | − | 0.142128i | ||||
\(887\) | −19.0172 | + | 17.2572i | −0.638535 | + | 0.579440i | −0.925615 | − | 0.378467i | \(-0.876451\pi\) |
0.287080 | + | 0.957907i | \(0.407316\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.3988 | − | 34.7037i | −0.449380 | − | 1.16392i | ||||
\(890\) | 3.89694 | − | 6.74969i | 0.130626 | − | 0.226250i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −14.2526 | − | 24.6862i | −0.477212 | − | 0.826555i | ||||
\(893\) | −9.16588 | + | 11.3639i | −0.306725 | + | 0.380279i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −8.83289 | − | 40.7772i | −0.295251 | − | 1.36303i | ||||
\(896\) | 23.0783 | − | 16.4954i | 0.770991 | − | 0.551071i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 11.3317 | − | 8.78276i | 0.378145 | − | 0.293085i | ||||
\(899\) | −31.7232 | + | 20.8647i | −1.05803 | + | 0.695876i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.145202 | + | 2.49302i | −0.00483738 | + | 0.0830546i | ||||
\(902\) | 0.0771704 | − | 0.161388i | 0.00256949 | − | 0.00537364i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −24.3153 | + | 27.8622i | −0.808715 | + | 0.926685i | ||||
\(905\) | 51.0052 | + | 30.7818i | 1.69547 | + | 1.02322i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.17581 | − | 53.2120i | 0.171860 | − | 1.76687i | −0.372509 | − | 0.928029i | \(-0.621502\pi\) |
0.544369 | − | 0.838846i | \(-0.316769\pi\) | |||||||
\(908\) | −30.1426 | − | 40.4885i | −1.00032 | − | 1.34366i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −7.85460 | − | 0.918071i | −0.260377 | − | 0.0304338i | ||||
\(911\) | −26.8929 | + | 8.62286i | −0.891001 | + | 0.285688i | −0.715351 | − | 0.698765i | \(-0.753733\pi\) |
−0.175649 | + | 0.984453i | \(0.556203\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.820178 | − | 1.71526i | −0.0271439 | − | 0.0567667i | ||||
\(914\) | −6.85843 | + | 2.80198i | −0.226857 | + | 0.0926812i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −6.65925 | + | 19.4624i | −0.220028 | + | 0.643055i | ||||
\(917\) | −29.8701 | − | 10.8718i | −0.986397 | − | 0.359019i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −32.8717 | + | 11.9643i | −1.08434 | + | 0.394666i | −0.821520 | − | 0.570179i | \(-0.806874\pi\) |
−0.262817 | + | 0.964846i | \(0.584652\pi\) | |||||||
\(920\) | −0.650413 | − | 33.5351i | −0.0214435 | − | 1.10562i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 11.1220 | + | 17.6463i | 0.366284 | + | 0.581149i | ||||
\(923\) | −31.8068 | + | 8.85401i | −1.04693 | + | 0.291433i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.85373 | − | 0.382370i | −0.323989 | − | 0.0125722i | ||||
\(926\) | −7.32135 | − | 7.76018i | −0.240594 | − | 0.255015i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 38.5057 | + | 9.12603i | 1.26401 | + | 0.299577i | ||||
\(929\) | −6.43553 | − | 24.9843i | −0.211143 | − | 0.819707i | −0.982954 | − | 0.183854i | \(-0.941143\pi\) |
0.771811 | − | 0.635852i | \(-0.219351\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.81982 | + | 4.71345i | −0.0596421 | + | 0.154477i | ||||
\(932\) | −5.67840 | − | 7.04011i | −0.186002 | − | 0.230606i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.132116 | − | 0.129578i | 0.00432295 | − | 0.00423992i | ||||
\(935\) | 1.92262 | − | 2.03786i | 0.0628765 | − | 0.0666452i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 0.527451 | − | 1.76181i | 0.0172311 | − | 0.0575557i | −0.948942 | − | 0.315452i | \(-0.897844\pi\) |
0.966173 | + | 0.257896i | \(0.0830292\pi\) | |||||||
\(938\) | −0.270458 | + | 0.429110i | −0.00883076 | + | 0.0140110i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −8.46220 | − | 8.29967i | −0.276007 | − | 0.270705i | ||||
\(941\) | 44.6941 | − | 1.73434i | 1.45699 | − | 0.0565378i | 0.701953 | − | 0.712223i | \(-0.252312\pi\) |
0.755034 | + | 0.655685i | \(0.227620\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.47314 | + | 0.889047i | −0.0479722 | + | 0.0289513i | ||||
\(944\) | 1.95076 | − | 11.0633i | 0.0634917 | − | 0.360079i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.850921 | − | 4.82581i | −0.0276658 | − | 0.156901i | ||||
\(947\) | 16.8777 | + | 19.3397i | 0.548453 | + | 0.628457i | 0.959008 | − | 0.283378i | \(-0.0914552\pi\) |
−0.410555 | + | 0.911836i | \(0.634665\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −15.5750 | − | 12.0715i | −0.505585 | − | 0.391858i | ||||
\(950\) | −4.23150 | − | 0.328898i | −0.137288 | − | 0.0106709i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.36549 | + | 3.05402i | 0.109076 | + | 0.0989814i | ||||
\(953\) | −18.1248 | + | 24.3458i | −0.587120 | + | 0.788639i | −0.992068 | − | 0.125700i | \(-0.959882\pi\) |
0.404948 | + | 0.914340i | \(0.367290\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −22.1137 | + | 51.2654i | −0.715583 | + | 1.65891i | ||||
\(956\) | −2.41466 | − | 1.72590i | −0.0780957 | − | 0.0558195i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.220601 | + | 11.3741i | −0.00712728 | + | 0.367481i | ||||
\(959\) | 5.15695 | + | 15.0717i | 0.166526 | + | 0.486692i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.81813 | + | 0.374495i | −0.155424 | + | 0.0120805i | ||||
\(962\) | −7.19825 | − | 4.73437i | −0.232081 | − | 0.152642i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −17.5382 | − | 8.80803i | −0.564868 | − | 0.283688i | ||||
\(965\) | −1.04058 | − | 7.61837i | −0.0334974 | − | 0.245244i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 13.7534 | + | 6.25170i | 0.442281 | + | 0.201041i | 0.622556 | − | 0.782575i | \(-0.286094\pi\) |
−0.180276 | + | 0.983616i | \(0.557699\pi\) | |||||||
\(968\) | 18.4926 | + | 5.92943i | 0.594376 | + | 0.190579i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −8.80778 | − | 1.37751i | −0.282801 | − | 0.0442293i | ||||
\(971\) | −2.82281 | −0.0905882 | −0.0452941 | − | 0.998974i | \(-0.514422\pi\) | ||||
−0.0452941 | + | 0.998974i | \(0.514422\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 30.4451 | 0.976026 | ||||||||
\(974\) | −3.29961 | − | 0.516049i | −0.105726 | − | 0.0165353i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 15.8821 | + | 5.09240i | 0.508375 | + | 0.163004i | ||||
\(977\) | 1.54928 | + | 0.704233i | 0.0495658 | + | 0.0225304i | 0.438440 | − | 0.898760i | \(-0.355531\pi\) |
−0.388874 | + | 0.921291i | \(0.627136\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.916077 | + | 6.70687i | 0.0292780 | + | 0.214353i | ||||
\(980\) | −3.66567 | − | 1.84097i | −0.117096 | − | 0.0588076i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −10.7308 | − | 7.05777i | −0.342434 | − | 0.225222i | ||||
\(983\) | −25.8135 | + | 2.00639i | −0.823324 | + | 0.0639938i | −0.482240 | − | 0.876039i | \(-0.660177\pi\) |
−0.341084 | + | 0.940033i | \(0.610794\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.49313 | + | 4.36385i | 0.0475752 | + | 0.139044i | ||||
\(986\) | −0.0719920 | + | 3.71189i | −0.00229269 | + | 0.118211i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 16.7618 | + | 11.9806i | 0.533263 | + | 0.381154i | ||||
\(989\) | −18.6683 | + | 43.2779i | −0.593616 | + | 1.37616i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −23.3024 | + | 31.3006i | −0.740225 | + | 0.994295i | 0.259368 | + | 0.965779i | \(0.416486\pi\) |
−0.999593 | + | 0.0285165i | \(0.990922\pi\) | |||||||
\(992\) | −20.1960 | − | 18.3269i | −0.641224 | − | 0.581880i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −19.4998 | − | 1.51564i | −0.618496 | − | 0.0480733i | ||||
\(995\) | 6.95681 | + | 5.39194i | 0.220546 | + | 0.170936i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 23.4588 | + | 26.8808i | 0.742946 | + | 0.851322i | 0.993147 | − | 0.116872i | \(-0.0372867\pi\) |
−0.250201 | + | 0.968194i | \(0.580497\pi\) | |||||||
\(998\) | −0.154359 | − | 0.875414i | −0.00488615 | − | 0.0277107i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 729.2.i.a.10.16 | 1404 | ||
3.2 | odd | 2 | 243.2.i.a.13.11 | ✓ | 1404 | ||
243.56 | odd | 162 | 243.2.i.a.187.11 | yes | 1404 | ||
243.187 | even | 81 | inner | 729.2.i.a.73.16 | 1404 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
243.2.i.a.13.11 | ✓ | 1404 | 3.2 | odd | 2 | ||
243.2.i.a.187.11 | yes | 1404 | 243.56 | odd | 162 | ||
729.2.i.a.10.16 | 1404 | 1.1 | even | 1 | trivial | ||
729.2.i.a.73.16 | 1404 | 243.187 | even | 81 | inner |