Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(22,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.v (of order \(9\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 43.8 | ||
Character | \(\chi\) | \(=\) | 189.43 |
Dual form | 189.2.v.b.22.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35330 | + | 1.13555i | 0.956928 | + | 0.802958i | 0.980451 | − | 0.196765i | \(-0.0630436\pi\) |
−0.0235223 | + | 0.999723i | \(0.507488\pi\) | |||||||
\(3\) | 0.722934 | − | 1.57397i | 0.417386 | − | 0.908729i | ||||
\(4\) | 0.194644 | + | 1.10388i | 0.0973218 | + | 0.551939i | ||||
\(5\) | 0.893231 | + | 0.325110i | 0.399465 | + | 0.145393i | 0.533938 | − | 0.845524i | \(-0.320712\pi\) |
−0.134472 | + | 0.990917i | \(0.542934\pi\) | |||||||
\(6\) | 2.76567 | − | 1.30912i | 1.12908 | − | 0.534445i | ||||
\(7\) | −0.173648 | + | 0.984808i | −0.0656328 | + | 0.372222i | ||||
\(8\) | 0.776506 | − | 1.34495i | 0.274536 | − | 0.475511i | ||||
\(9\) | −1.95473 | − | 2.27575i | −0.651578 | − | 0.758582i | ||||
\(10\) | 0.839631 | + | 1.45428i | 0.265515 | + | 0.459885i | ||||
\(11\) | −5.42626 | + | 1.97500i | −1.63608 | + | 0.595484i | −0.986347 | − | 0.164678i | \(-0.947341\pi\) |
−0.649733 | + | 0.760163i | \(0.725119\pi\) | |||||||
\(12\) | 1.87818 | + | 0.491669i | 0.542184 | + | 0.141933i | ||||
\(13\) | 0.425846 | − | 0.357327i | 0.118108 | − | 0.0991047i | −0.581821 | − | 0.813317i | \(-0.697659\pi\) |
0.699929 | + | 0.714212i | \(0.253215\pi\) | |||||||
\(14\) | −1.35330 | + | 1.13555i | −0.361685 | + | 0.303490i | ||||
\(15\) | 1.15746 | − | 1.17088i | 0.298855 | − | 0.302321i | ||||
\(16\) | 4.68473 | − | 1.70510i | 1.17118 | − | 0.426275i | ||||
\(17\) | 3.49190 | + | 6.04815i | 0.846910 | + | 1.46689i | 0.883952 | + | 0.467578i | \(0.154873\pi\) |
−0.0370415 | + | 0.999314i | \(0.511793\pi\) | |||||||
\(18\) | −0.0611102 | − | 5.29948i | −0.0144038 | − | 1.24910i | ||||
\(19\) | −1.27047 | + | 2.20053i | −0.291467 | + | 0.504835i | −0.974157 | − | 0.225873i | \(-0.927477\pi\) |
0.682690 | + | 0.730708i | \(0.260810\pi\) | |||||||
\(20\) | −0.185020 | + | 1.04930i | −0.0413717 | + | 0.234631i | ||||
\(21\) | 1.42452 | + | 0.985267i | 0.310855 | + | 0.215003i | ||||
\(22\) | −9.58609 | − | 3.48905i | −2.04376 | − | 0.743868i | ||||
\(23\) | 0.689784 | + | 3.91196i | 0.143830 | + | 0.815700i | 0.968299 | + | 0.249793i | \(0.0803626\pi\) |
−0.824469 | + | 0.565907i | \(0.808526\pi\) | |||||||
\(24\) | −1.55554 | − | 2.19450i | −0.317523 | − | 0.447951i | ||||
\(25\) | −3.13806 | − | 2.63314i | −0.627611 | − | 0.526628i | ||||
\(26\) | 0.982062 | 0.192598 | ||||||||
\(27\) | −4.99509 | + | 1.43147i | −0.961305 | + | 0.275486i | ||||
\(28\) | −1.12091 | −0.211832 | ||||||||
\(29\) | −5.70629 | − | 4.78815i | −1.05963 | − | 0.889136i | −0.0655581 | − | 0.997849i | \(-0.520883\pi\) |
−0.994073 | + | 0.108712i | \(0.965327\pi\) | |||||||
\(30\) | 2.89599 | − | 0.270199i | 0.528733 | − | 0.0493315i | ||||
\(31\) | −0.930589 | − | 5.27763i | −0.167139 | − | 0.947891i | −0.946832 | − | 0.321729i | \(-0.895736\pi\) |
0.779693 | − | 0.626162i | \(-0.215375\pi\) | |||||||
\(32\) | 5.35737 | + | 1.94992i | 0.947058 | + | 0.344701i | ||||
\(33\) | −0.814250 | + | 9.96854i | −0.141743 | + | 1.73530i | ||||
\(34\) | −2.14241 | + | 12.1502i | −0.367420 | + | 2.08374i | ||||
\(35\) | −0.475279 | + | 0.823207i | −0.0803367 | + | 0.139147i | ||||
\(36\) | 2.13167 | − | 2.60075i | 0.355278 | − | 0.433458i | ||||
\(37\) | −2.89192 | − | 5.00895i | −0.475428 | − | 0.823465i | 0.524176 | − | 0.851610i | \(-0.324373\pi\) |
−0.999604 | + | 0.0281446i | \(0.991040\pi\) | |||||||
\(38\) | −4.21815 | + | 1.53528i | −0.684275 | + | 0.249056i | ||||
\(39\) | −0.254562 | − | 0.928590i | −0.0407626 | − | 0.148693i | ||||
\(40\) | 1.13086 | − | 0.948900i | 0.178804 | − | 0.150034i | ||||
\(41\) | 5.74878 | − | 4.82380i | 0.897809 | − | 0.753351i | −0.0719521 | − | 0.997408i | \(-0.522923\pi\) |
0.969761 | + | 0.244057i | \(0.0784784\pi\) | |||||||
\(42\) | 0.808976 | + | 2.95098i | 0.124828 | + | 0.455346i | ||||
\(43\) | 4.78497 | − | 1.74159i | 0.729701 | − | 0.265590i | 0.0496629 | − | 0.998766i | \(-0.484185\pi\) |
0.680038 | + | 0.733176i | \(0.261963\pi\) | |||||||
\(44\) | −3.23635 | − | 5.60552i | −0.487898 | − | 0.845063i | ||||
\(45\) | −1.00616 | − | 2.66827i | −0.149990 | − | 0.397762i | ||||
\(46\) | −3.50876 | + | 6.07734i | −0.517338 | + | 0.896056i | ||||
\(47\) | −1.72916 | + | 9.80654i | −0.252224 | + | 1.43043i | 0.550876 | + | 0.834587i | \(0.314294\pi\) |
−0.803100 | + | 0.595844i | \(0.796818\pi\) | |||||||
\(48\) | 0.702977 | − | 8.60627i | 0.101466 | − | 1.24221i | ||||
\(49\) | −0.939693 | − | 0.342020i | −0.134242 | − | 0.0488600i | ||||
\(50\) | −1.25666 | − | 7.12687i | −0.177718 | − | 1.00789i | ||||
\(51\) | 12.0440 | − | 1.12372i | 1.68650 | − | 0.157352i | ||||
\(52\) | 0.477334 | + | 0.400531i | 0.0661943 | + | 0.0555436i | ||||
\(53\) | 4.98223 | 0.684361 | 0.342181 | − | 0.939634i | \(-0.388835\pi\) | ||||
0.342181 | + | 0.939634i | \(0.388835\pi\) | |||||||
\(54\) | −8.38537 | − | 3.73498i | −1.14110 | − | 0.508267i | ||||
\(55\) | −5.48900 | −0.740137 | ||||||||
\(56\) | 1.18968 | + | 0.998257i | 0.158977 | + | 0.133398i | ||||
\(57\) | 2.54508 | + | 3.59052i | 0.337105 | + | 0.475576i | ||||
\(58\) | −2.28513 | − | 12.9596i | −0.300052 | − | 1.70168i | ||||
\(59\) | 4.84371 | + | 1.76297i | 0.630597 | + | 0.229519i | 0.637491 | − | 0.770458i | \(-0.279972\pi\) |
−0.00689403 | + | 0.999976i | \(0.502194\pi\) | |||||||
\(60\) | 1.51780 | + | 1.04979i | 0.195948 | + | 0.135527i | ||||
\(61\) | 0.202571 | − | 1.14884i | 0.0259366 | − | 0.147093i | −0.969089 | − | 0.246710i | \(-0.920650\pi\) |
0.995026 | + | 0.0996165i | \(0.0317616\pi\) | |||||||
\(62\) | 4.73367 | − | 8.19896i | 0.601177 | − | 1.04127i | ||||
\(63\) | 2.58061 | − | 1.52986i | 0.325126 | − | 0.192744i | ||||
\(64\) | 0.0505111 | + | 0.0874878i | 0.00631389 | + | 0.0109360i | ||||
\(65\) | 0.496549 | − | 0.180729i | 0.0615894 | − | 0.0224167i | ||||
\(66\) | −12.4217 | + | 12.5658i | −1.52901 | + | 1.54674i | ||||
\(67\) | −5.14926 | + | 4.32074i | −0.629082 | + | 0.527862i | −0.900644 | − | 0.434559i | \(-0.856904\pi\) |
0.271562 | + | 0.962421i | \(0.412460\pi\) | |||||||
\(68\) | −5.99675 | + | 5.03187i | −0.727212 | + | 0.610204i | ||||
\(69\) | 6.65595 | + | 1.74239i | 0.801283 | + | 0.209759i | ||||
\(70\) | −1.57799 | + | 0.574342i | −0.188606 | + | 0.0686470i | ||||
\(71\) | 0.753242 | + | 1.30465i | 0.0893934 | + | 0.154834i | 0.907255 | − | 0.420581i | \(-0.138174\pi\) |
−0.817861 | + | 0.575415i | \(0.804840\pi\) | |||||||
\(72\) | −4.57862 | + | 0.861885i | −0.539596 | + | 0.101574i | ||||
\(73\) | 6.82985 | − | 11.8296i | 0.799374 | − | 1.38456i | −0.120651 | − | 0.992695i | \(-0.538498\pi\) |
0.920025 | − | 0.391861i | \(-0.128168\pi\) | |||||||
\(74\) | 1.77430 | − | 10.0625i | 0.206258 | − | 1.16975i | ||||
\(75\) | −6.41308 | + | 3.03560i | −0.740519 | + | 0.350521i | ||||
\(76\) | −2.67640 | − | 0.974132i | −0.307005 | − | 0.111741i | ||||
\(77\) | −1.00273 | − | 5.68678i | −0.114272 | − | 0.648069i | ||||
\(78\) | 0.709966 | − | 1.54573i | 0.0803878 | − | 0.175020i | ||||
\(79\) | 2.61422 | + | 2.19359i | 0.294123 | + | 0.246799i | 0.777893 | − | 0.628397i | \(-0.216288\pi\) |
−0.483770 | + | 0.875195i | \(0.660733\pi\) | |||||||
\(80\) | 4.73889 | 0.529824 | ||||||||
\(81\) | −1.35803 | + | 8.89695i | −0.150893 | + | 0.988550i | ||||
\(82\) | 13.2575 | 1.46405 | ||||||||
\(83\) | 2.62041 | + | 2.19879i | 0.287628 | + | 0.241348i | 0.775172 | − | 0.631750i | \(-0.217663\pi\) |
−0.487545 | + | 0.873098i | \(0.662107\pi\) | |||||||
\(84\) | −0.810342 | + | 1.76427i | −0.0884156 | + | 0.192498i | ||||
\(85\) | 1.15276 | + | 6.53765i | 0.125035 | + | 0.709108i | ||||
\(86\) | 8.45317 | + | 3.07670i | 0.911529 | + | 0.331769i | ||||
\(87\) | −11.6616 | + | 5.51999i | −1.25026 | + | 0.591805i | ||||
\(88\) | −1.55726 | + | 8.83164i | −0.166004 | + | 0.941456i | ||||
\(89\) | 2.34490 | − | 4.06149i | 0.248559 | − | 0.430517i | −0.714567 | − | 0.699567i | \(-0.753376\pi\) |
0.963126 | + | 0.269050i | \(0.0867097\pi\) | |||||||
\(90\) | 1.66833 | − | 4.75353i | 0.175857 | − | 0.501066i | ||||
\(91\) | 0.277951 | + | 0.481426i | 0.0291372 | + | 0.0504671i | ||||
\(92\) | −4.18407 | + | 1.52288i | −0.436219 | + | 0.158771i | ||||
\(93\) | −8.97957 | − | 2.35066i | −0.931138 | − | 0.243753i | ||||
\(94\) | −13.4759 | + | 11.3077i | −1.38994 | + | 1.16630i | ||||
\(95\) | −1.85024 | + | 1.55254i | −0.189831 | + | 0.159287i | ||||
\(96\) | 6.94214 | − | 7.02265i | 0.708529 | − | 0.716746i | ||||
\(97\) | 3.99326 | − | 1.45343i | 0.405454 | − | 0.147573i | −0.131239 | − | 0.991351i | \(-0.541896\pi\) |
0.536693 | + | 0.843778i | \(0.319673\pi\) | |||||||
\(98\) | −0.883305 | − | 1.52993i | −0.0892272 | − | 0.154546i | ||||
\(99\) | 15.1015 | + | 8.48820i | 1.51776 | + | 0.853096i | ||||
\(100\) | 2.29587 | − | 3.97656i | 0.229587 | − | 0.397656i | ||||
\(101\) | −2.48918 | + | 14.1168i | −0.247683 | + | 1.40468i | 0.566497 | + | 0.824064i | \(0.308298\pi\) |
−0.814179 | + | 0.580614i | \(0.802813\pi\) | |||||||
\(102\) | 17.5752 | + | 12.1559i | 1.74020 | + | 1.20361i | ||||
\(103\) | −0.660663 | − | 0.240461i | −0.0650970 | − | 0.0236934i | 0.309266 | − | 0.950975i | \(-0.399917\pi\) |
−0.374363 | + | 0.927282i | \(0.622139\pi\) | |||||||
\(104\) | −0.149914 | − | 0.850207i | −0.0147003 | − | 0.0833697i | ||||
\(105\) | 0.952104 | + | 1.34320i | 0.0929158 | + | 0.131082i | ||||
\(106\) | 6.74245 | + | 5.65759i | 0.654885 | + | 0.549514i | ||||
\(107\) | −9.90730 | −0.957775 | −0.478888 | − | 0.877876i | \(-0.658960\pi\) | ||||
−0.478888 | + | 0.877876i | \(0.658960\pi\) | |||||||
\(108\) | −2.55243 | − | 5.23534i | −0.245608 | − | 0.503771i | ||||
\(109\) | 9.13939 | 0.875394 | 0.437697 | − | 0.899122i | \(-0.355794\pi\) | ||||
0.437697 | + | 0.899122i | \(0.355794\pi\) | |||||||
\(110\) | −7.42827 | − | 6.23306i | −0.708258 | − | 0.594299i | ||||
\(111\) | −9.97457 | + | 0.930639i | −0.946744 | + | 0.0883324i | ||||
\(112\) | 0.865702 | + | 4.90964i | 0.0818012 | + | 0.463918i | ||||
\(113\) | 4.47706 | + | 1.62951i | 0.421166 | + | 0.153292i | 0.543904 | − | 0.839147i | \(-0.316945\pi\) |
−0.122738 | + | 0.992439i | \(0.539168\pi\) | |||||||
\(114\) | −0.632964 | + | 7.74913i | −0.0592825 | + | 0.725773i | ||||
\(115\) | −0.655679 | + | 3.71854i | −0.0611424 | + | 0.346756i | ||||
\(116\) | 4.17484 | − | 7.23103i | 0.387624 | − | 0.671385i | ||||
\(117\) | −1.64560 | − | 0.270637i | −0.152136 | − | 0.0250204i | ||||
\(118\) | 4.55305 | + | 7.88612i | 0.419142 | + | 0.725976i | ||||
\(119\) | −6.56263 | + | 2.38860i | −0.601595 | + | 0.218963i | ||||
\(120\) | −0.676003 | − | 2.46592i | −0.0617103 | − | 0.225107i | ||||
\(121\) | 17.1172 | − | 14.3631i | 1.55611 | − | 1.30573i | ||||
\(122\) | 1.57871 | − | 1.32469i | 0.142929 | − | 0.119932i | ||||
\(123\) | −3.43651 | − | 12.5357i | −0.309859 | − | 1.13030i | ||||
\(124\) | 5.64474 | − | 2.05452i | 0.506912 | − | 0.184501i | ||||
\(125\) | −4.32334 | − | 7.48825i | −0.386692 | − | 0.669769i | ||||
\(126\) | 5.22958 | + | 0.860062i | 0.465888 | + | 0.0766204i | ||||
\(127\) | 5.43910 | − | 9.42080i | 0.482642 | − | 0.835961i | −0.517159 | − | 0.855889i | \(-0.673010\pi\) |
0.999801 | + | 0.0199284i | \(0.00634382\pi\) | |||||||
\(128\) | 1.94901 | − | 11.0534i | 0.172270 | − | 0.976992i | ||||
\(129\) | 0.718020 | − | 8.79043i | 0.0632181 | − | 0.773954i | ||||
\(130\) | 0.877209 | + | 0.319278i | 0.0769363 | + | 0.0280025i | ||||
\(131\) | −2.00011 | − | 11.3432i | −0.174751 | − | 0.991061i | −0.938431 | − | 0.345466i | \(-0.887721\pi\) |
0.763680 | − | 0.645595i | \(-0.223390\pi\) | |||||||
\(132\) | −11.1626 | + | 1.04148i | −0.971575 | + | 0.0906492i | ||||
\(133\) | −1.94648 | − | 1.63329i | −0.168781 | − | 0.141624i | ||||
\(134\) | −11.8749 | −1.02584 | ||||||||
\(135\) | −4.92715 | − | 0.345318i | −0.424062 | − | 0.0297202i | ||||
\(136\) | 10.8459 | 0.930031 | ||||||||
\(137\) | −4.25412 | − | 3.56963i | −0.363454 | − | 0.304974i | 0.442712 | − | 0.896664i | \(-0.354017\pi\) |
−0.806166 | + | 0.591690i | \(0.798461\pi\) | |||||||
\(138\) | 7.02893 | + | 9.91618i | 0.598342 | + | 0.844121i | ||||
\(139\) | −0.754334 | − | 4.27804i | −0.0639818 | − | 0.362859i | −0.999942 | − | 0.0107533i | \(-0.996577\pi\) |
0.935960 | − | 0.352105i | \(-0.114534\pi\) | |||||||
\(140\) | −1.00123 | − | 0.364418i | −0.0846194 | − | 0.0307989i | ||||
\(141\) | 14.1851 | + | 9.81111i | 1.19460 | + | 0.826245i | ||||
\(142\) | −0.462142 | + | 2.62094i | −0.0387821 | + | 0.219944i | ||||
\(143\) | −1.60503 | + | 2.78000i | −0.134219 | + | 0.232475i | ||||
\(144\) | −13.0378 | − | 7.32823i | −1.08648 | − | 0.610685i | ||||
\(145\) | −3.54037 | − | 6.13209i | −0.294011 | − | 0.509243i | ||||
\(146\) | 22.6761 | − | 8.25341i | 1.87668 | − | 0.683057i | ||||
\(147\) | −1.21766 | + | 1.23179i | −0.100431 | + | 0.101596i | ||||
\(148\) | 4.96638 | − | 4.16728i | 0.408234 | − | 0.342549i | ||||
\(149\) | −17.9538 | + | 15.0650i | −1.47083 | + | 1.23417i | −0.555473 | + | 0.831534i | \(0.687463\pi\) |
−0.915358 | + | 0.402640i | \(0.868093\pi\) | |||||||
\(150\) | −12.1259 | − | 3.17432i | −0.990077 | − | 0.259182i | ||||
\(151\) | −5.80654 | + | 2.11341i | −0.472530 | + | 0.171987i | −0.567298 | − | 0.823513i | \(-0.692011\pi\) |
0.0947682 | + | 0.995499i | \(0.469789\pi\) | |||||||
\(152\) | 1.97306 | + | 3.41744i | 0.160037 | + | 0.277191i | ||||
\(153\) | 6.93831 | − | 19.7692i | 0.560929 | − | 1.59824i | ||||
\(154\) | 5.10065 | − | 8.83459i | 0.411022 | − | 0.711911i | ||||
\(155\) | 0.884578 | − | 5.01669i | 0.0710510 | − | 0.402950i | ||||
\(156\) | 0.975502 | − | 0.461750i | 0.0781027 | − | 0.0369696i | ||||
\(157\) | 17.8476 | + | 6.49600i | 1.42440 | + | 0.518437i | 0.935320 | − | 0.353804i | \(-0.115112\pi\) |
0.489076 | + | 0.872241i | \(0.337334\pi\) | |||||||
\(158\) | 1.04689 | + | 5.93719i | 0.0832858 | + | 0.472337i | ||||
\(159\) | 3.60182 | − | 7.84185i | 0.285643 | − | 0.621899i | ||||
\(160\) | 4.15143 | + | 3.48347i | 0.328200 | + | 0.275392i | ||||
\(161\) | −3.97231 | −0.313062 | ||||||||
\(162\) | −11.9408 | + | 10.4981i | −0.938158 | + | 0.824811i | ||||
\(163\) | −11.0065 | −0.862097 | −0.431049 | − | 0.902329i | \(-0.641856\pi\) | ||||
−0.431049 | + | 0.902329i | \(0.641856\pi\) | |||||||
\(164\) | 6.44385 | + | 5.40704i | 0.503180 | + | 0.422219i | ||||
\(165\) | −3.96818 | + | 8.63950i | −0.308923 | + | 0.672584i | ||||
\(166\) | 1.04937 | + | 5.95125i | 0.0814465 | + | 0.461906i | ||||
\(167\) | 11.6250 | + | 4.23115i | 0.899568 | + | 0.327416i | 0.750080 | − | 0.661347i | \(-0.230015\pi\) |
0.149488 | + | 0.988763i | \(0.452237\pi\) | |||||||
\(168\) | 2.43128 | − | 1.15084i | 0.187577 | − | 0.0887889i | ||||
\(169\) | −2.20376 | + | 12.4982i | −0.169520 | + | 0.961398i | ||||
\(170\) | −5.86382 | + | 10.1564i | −0.449734 | + | 0.778963i | ||||
\(171\) | 7.49128 | − | 1.41017i | 0.572872 | − | 0.107838i | ||||
\(172\) | 2.85387 | + | 4.94304i | 0.217605 | + | 0.376903i | ||||
\(173\) | −13.2242 | + | 4.81321i | −1.00542 | + | 0.365942i | −0.791671 | − | 0.610948i | \(-0.790789\pi\) |
−0.213746 | + | 0.976889i | \(0.568566\pi\) | |||||||
\(174\) | −22.0500 | − | 5.77222i | −1.67160 | − | 0.437591i | ||||
\(175\) | 3.13806 | − | 2.63314i | 0.237215 | − | 0.199047i | ||||
\(176\) | −22.0530 | + | 18.5047i | −1.66231 | + | 1.39484i | ||||
\(177\) | 6.27653 | − | 6.34932i | 0.471773 | − | 0.477244i | ||||
\(178\) | 7.78540 | − | 2.83365i | 0.583540 | − | 0.212391i | ||||
\(179\) | −8.30262 | − | 14.3806i | −0.620567 | − | 1.07485i | −0.989380 | − | 0.145350i | \(-0.953569\pi\) |
0.368813 | − | 0.929504i | \(-0.379764\pi\) | |||||||
\(180\) | 2.74960 | − | 1.63004i | 0.204943 | − | 0.121496i | ||||
\(181\) | −6.63203 | + | 11.4870i | −0.492955 | + | 0.853823i | −0.999967 | − | 0.00811624i | \(-0.997416\pi\) |
0.507012 | + | 0.861939i | \(0.330750\pi\) | |||||||
\(182\) | −0.170533 | + | 0.967142i | −0.0126408 | + | 0.0716894i | ||||
\(183\) | −1.66178 | − | 1.14937i | −0.122843 | − | 0.0849641i | ||||
\(184\) | 5.79700 | + | 2.10994i | 0.427361 | + | 0.155547i | ||||
\(185\) | −0.954694 | − | 5.41434i | −0.0701905 | − | 0.398070i | ||||
\(186\) | −9.48275 | − | 13.3779i | −0.695309 | − | 0.980919i | ||||
\(187\) | −30.8931 | − | 25.9224i | −2.25912 | − | 1.89563i | ||||
\(188\) | −11.1618 | −0.814058 | ||||||||
\(189\) | −0.542334 | − | 5.16777i | −0.0394490 | − | 0.375900i | ||||
\(190\) | −4.26692 | −0.309555 | ||||||||
\(191\) | −8.75738 | − | 7.34832i | −0.633662 | − | 0.531706i | 0.268402 | − | 0.963307i | \(-0.413504\pi\) |
−0.902064 | + | 0.431601i | \(0.857949\pi\) | |||||||
\(192\) | 0.174219 | − | 0.0162548i | 0.0125732 | − | 0.00117309i | ||||
\(193\) | 4.13317 | + | 23.4404i | 0.297512 | + | 1.68728i | 0.656813 | + | 0.754054i | \(0.271904\pi\) |
−0.359300 | + | 0.933222i | \(0.616985\pi\) | |||||||
\(194\) | 7.05453 | + | 2.56764i | 0.506485 | + | 0.184346i | ||||
\(195\) | 0.0745108 | − | 0.912207i | 0.00533583 | − | 0.0653245i | ||||
\(196\) | 0.194644 | − | 1.10388i | 0.0139031 | − | 0.0788485i | ||||
\(197\) | 5.14538 | − | 8.91206i | 0.366593 | − | 0.634958i | −0.622437 | − | 0.782670i | \(-0.713857\pi\) |
0.989030 | + | 0.147711i | \(0.0471907\pi\) | |||||||
\(198\) | 10.7981 | + | 28.6357i | 0.767384 | + | 2.03505i | ||||
\(199\) | −2.41261 | − | 4.17876i | −0.171025 | − | 0.296224i | 0.767753 | − | 0.640746i | \(-0.221375\pi\) |
−0.938779 | + | 0.344521i | \(0.888041\pi\) | |||||||
\(200\) | −5.97816 | + | 2.17587i | −0.422720 | + | 0.153857i | ||||
\(201\) | 3.07812 | + | 11.2284i | 0.217114 | + | 0.791987i | ||||
\(202\) | −19.3990 | + | 16.2777i | −1.36491 | + | 1.14530i | ||||
\(203\) | 5.70629 | − | 4.78815i | 0.400503 | − | 0.336062i | ||||
\(204\) | 3.58474 | + | 13.0764i | 0.250982 | + | 0.915530i | ||||
\(205\) | 6.70326 | − | 2.43979i | 0.468176 | − | 0.170402i | ||||
\(206\) | −0.621018 | − | 1.07564i | −0.0432684 | − | 0.0749431i | ||||
\(207\) | 7.55428 | − | 9.21661i | 0.525059 | − | 0.640599i | ||||
\(208\) | 1.38569 | − | 2.40009i | 0.0960805 | − | 0.166416i | ||||
\(209\) | 2.54789 | − | 14.4498i | 0.176241 | − | 0.999515i | ||||
\(210\) | −0.236789 | + | 2.89891i | −0.0163400 | + | 0.200044i | ||||
\(211\) | −7.46834 | − | 2.71825i | −0.514142 | − | 0.187132i | 0.0719019 | − | 0.997412i | \(-0.477093\pi\) |
−0.586044 | + | 0.810279i | \(0.699315\pi\) | |||||||
\(212\) | 0.969759 | + | 5.49977i | 0.0666033 | + | 0.377726i | ||||
\(213\) | 2.59802 | − | 0.242399i | 0.178014 | − | 0.0166089i | ||||
\(214\) | −13.4076 | − | 11.2503i | −0.916522 | − | 0.769053i | ||||
\(215\) | 4.84029 | 0.330105 | ||||||||
\(216\) | −1.95346 | + | 7.82968i | −0.132916 | + | 0.532742i | ||||
\(217\) | 5.35905 | 0.363796 | ||||||||
\(218\) | 12.3683 | + | 10.3783i | 0.837690 | + | 0.702905i | ||||
\(219\) | −13.6819 | − | 19.3020i | −0.924539 | − | 1.30431i | ||||
\(220\) | −1.06840 | − | 6.05919i | −0.0720314 | − | 0.408511i | ||||
\(221\) | 3.64818 | + | 1.32783i | 0.245403 | + | 0.0893194i | ||||
\(222\) | −14.5554 | − | 10.0672i | −0.976894 | − | 0.675668i | ||||
\(223\) | −2.43999 | + | 13.8378i | −0.163394 | + | 0.926651i | 0.787312 | + | 0.616555i | \(0.211472\pi\) |
−0.950705 | + | 0.310096i | \(0.899639\pi\) | |||||||
\(224\) | −2.85060 | + | 4.93738i | −0.190464 | + | 0.329893i | ||||
\(225\) | 0.141703 | + | 12.2885i | 0.00944689 | + | 0.819234i | ||||
\(226\) | 4.20840 | + | 7.28916i | 0.279939 | + | 0.484868i | ||||
\(227\) | 18.0089 | − | 6.55472i | 1.19529 | − | 0.435052i | 0.333715 | − | 0.942674i | \(-0.391698\pi\) |
0.861580 | + | 0.507622i | \(0.169475\pi\) | |||||||
\(228\) | −3.46811 | + | 3.50834i | −0.229681 | + | 0.232345i | ||||
\(229\) | −3.03769 | + | 2.54892i | −0.200736 | + | 0.168438i | −0.737615 | − | 0.675222i | \(-0.764048\pi\) |
0.536878 | + | 0.843660i | \(0.319603\pi\) | |||||||
\(230\) | −5.10994 | + | 4.28774i | −0.336939 | + | 0.282726i | ||||
\(231\) | −9.67571 | − | 2.53290i | −0.636615 | − | 0.166653i | ||||
\(232\) | −10.8708 | + | 3.95664i | −0.713701 | + | 0.259766i | ||||
\(233\) | −9.55807 | − | 16.5551i | −0.626170 | − | 1.08456i | −0.988313 | − | 0.152436i | \(-0.951288\pi\) |
0.362143 | − | 0.932122i | \(-0.382045\pi\) | |||||||
\(234\) | −1.91967 | − | 2.23492i | −0.125493 | − | 0.146101i | ||||
\(235\) | −4.73274 | + | 8.19735i | −0.308730 | + | 0.534736i | ||||
\(236\) | −1.00330 | + | 5.69002i | −0.0653095 | + | 0.370389i | ||||
\(237\) | 5.34255 | − | 2.52887i | 0.347036 | − | 0.164268i | ||||
\(238\) | −11.5936 | − | 4.21972i | −0.751501 | − | 0.273524i | ||||
\(239\) | 1.13811 | + | 6.45456i | 0.0736184 | + | 0.417511i | 0.999237 | + | 0.0390533i | \(0.0124342\pi\) |
−0.925619 | + | 0.378457i | \(0.876455\pi\) | |||||||
\(240\) | 3.42590 | − | 7.45885i | 0.221141 | − | 0.481467i | ||||
\(241\) | −5.34167 | − | 4.48219i | −0.344087 | − | 0.288723i | 0.454323 | − | 0.890837i | \(-0.349881\pi\) |
−0.798411 | + | 0.602113i | \(0.794325\pi\) | |||||||
\(242\) | 39.4748 | 2.53754 | ||||||||
\(243\) | 13.0217 | + | 8.56940i | 0.835344 | + | 0.549728i | ||||
\(244\) | 1.30761 | 0.0837109 | ||||||||
\(245\) | −0.728169 | − | 0.611006i | −0.0465210 | − | 0.0390358i | ||||
\(246\) | 9.58431 | − | 20.8669i | 0.611073 | − | 1.33042i | ||||
\(247\) | 0.245281 | + | 1.39106i | 0.0156069 | + | 0.0885110i | ||||
\(248\) | −7.82075 | − | 2.84652i | −0.496618 | − | 0.180754i | ||||
\(249\) | 5.35520 | − | 2.53486i | 0.339372 | − | 0.160640i | ||||
\(250\) | 2.65253 | − | 15.0432i | 0.167761 | − | 0.951419i | ||||
\(251\) | −11.4547 | + | 19.8401i | −0.723012 | + | 1.25229i | 0.236775 | + | 0.971565i | \(0.423910\pi\) |
−0.959787 | + | 0.280729i | \(0.909424\pi\) | |||||||
\(252\) | 2.19108 | + | 2.55090i | 0.138025 | + | 0.160692i | ||||
\(253\) | −11.4691 | − | 19.8650i | −0.721054 | − | 1.24890i | ||||
\(254\) | 18.0586 | − | 6.57278i | 1.13310 | − | 0.412413i | ||||
\(255\) | 11.1234 | + | 2.91188i | 0.696575 | + | 0.182349i | ||||
\(256\) | 15.3441 | − | 12.8752i | 0.959008 | − | 0.804703i | ||||
\(257\) | 8.17670 | − | 6.86106i | 0.510048 | − | 0.427981i | −0.351098 | − | 0.936339i | \(-0.614192\pi\) |
0.861146 | + | 0.508357i | \(0.169747\pi\) | |||||||
\(258\) | 10.9537 | − | 11.0807i | 0.681948 | − | 0.689857i | ||||
\(259\) | 5.43502 | − | 1.97819i | 0.337716 | − | 0.122919i | ||||
\(260\) | 0.296153 | + | 0.512953i | 0.0183666 | + | 0.0318120i | ||||
\(261\) | 0.257676 | + | 22.3456i | 0.0159497 | + | 1.38316i | ||||
\(262\) | 10.1741 | − | 17.6220i | 0.628557 | − | 1.08869i | ||||
\(263\) | −1.93159 | + | 10.9546i | −0.119107 | + | 0.675488i | 0.865528 | + | 0.500861i | \(0.166983\pi\) |
−0.984635 | + | 0.174627i | \(0.944128\pi\) | |||||||
\(264\) | 12.7749 | + | 8.83576i | 0.786241 | + | 0.543803i | ||||
\(265\) | 4.45028 | + | 1.61977i | 0.273379 | + | 0.0995017i | ||||
\(266\) | −0.779483 | − | 4.42067i | −0.0477932 | − | 0.271049i | ||||
\(267\) | −4.69743 | − | 6.62698i | −0.287478 | − | 0.405565i | ||||
\(268\) | −5.77184 | − | 4.84315i | −0.352571 | − | 0.295843i | ||||
\(269\) | 8.74630 | 0.533272 | 0.266636 | − | 0.963797i | \(-0.414088\pi\) | ||||
0.266636 | + | 0.963797i | \(0.414088\pi\) | |||||||
\(270\) | −6.27580 | − | 6.06237i | −0.381933 | − | 0.368944i | ||||
\(271\) | −3.79432 | −0.230488 | −0.115244 | − | 0.993337i | \(-0.536765\pi\) | ||||
−0.115244 | + | 0.993337i | \(0.536765\pi\) | |||||||
\(272\) | 26.6713 | + | 22.3799i | 1.61719 | + | 1.35698i | ||||
\(273\) | 0.958687 | − | 0.0894467i | 0.0580224 | − | 0.00541356i | ||||
\(274\) | −1.70360 | − | 9.66157i | −0.102918 | − | 0.583677i | ||||
\(275\) | 22.2284 | + | 8.09046i | 1.34042 | + | 0.487873i | ||||
\(276\) | −0.627849 | + | 7.68651i | −0.0377921 | + | 0.462674i | ||||
\(277\) | 5.23705 | − | 29.7008i | 0.314664 | − | 1.78455i | −0.259434 | − | 0.965761i | \(-0.583536\pi\) |
0.574098 | − | 0.818787i | \(-0.305353\pi\) | |||||||
\(278\) | 3.83711 | − | 6.64606i | 0.230134 | − | 0.398604i | ||||
\(279\) | −10.1915 | + | 12.4342i | −0.610149 | + | 0.744413i | ||||
\(280\) | 0.738113 | + | 1.27845i | 0.0441107 | + | 0.0764020i | ||||
\(281\) | 10.6240 | − | 3.86681i | 0.633773 | − | 0.230674i | −0.00509990 | − | 0.999987i | \(-0.501623\pi\) |
0.638873 | + | 0.769313i | \(0.279401\pi\) | |||||||
\(282\) | 8.05564 | + | 29.3853i | 0.479706 | + | 1.74987i | ||||
\(283\) | −17.8494 | + | 14.9774i | −1.06104 | + | 0.890315i | −0.994211 | − | 0.107449i | \(-0.965732\pi\) |
−0.0668259 | + | 0.997765i | \(0.521287\pi\) | |||||||
\(284\) | −1.29357 | + | 1.08543i | −0.0767590 | + | 0.0644085i | ||||
\(285\) | 1.10604 | + | 4.03459i | 0.0655160 | + | 0.238989i | ||||
\(286\) | −5.32893 | + | 1.93957i | −0.315106 | + | 0.114689i | ||||
\(287\) | 3.75225 | + | 6.49909i | 0.221488 | + | 0.383629i | ||||
\(288\) | −6.03470 | − | 16.0036i | −0.355598 | − | 0.943021i | ||||
\(289\) | −15.8867 | + | 27.5166i | −0.934514 | + | 1.61863i | ||||
\(290\) | 2.17214 | − | 12.3188i | 0.127553 | − | 0.723387i | ||||
\(291\) | 0.599217 | − | 7.33598i | 0.0351267 | − | 0.430043i | ||||
\(292\) | 14.3879 | + | 5.23676i | 0.841987 | + | 0.306458i | ||||
\(293\) | −2.82712 | − | 16.0334i | −0.165162 | − | 0.936682i | −0.948897 | − | 0.315586i | \(-0.897799\pi\) |
0.783735 | − | 0.621096i | \(-0.213312\pi\) | |||||||
\(294\) | −3.04662 | + | 0.284254i | −0.177683 | + | 0.0165780i | ||||
\(295\) | 3.75340 | + | 3.14947i | 0.218531 | + | 0.183369i | ||||
\(296\) | −8.98236 | −0.522089 | ||||||||
\(297\) | 24.2775 | − | 17.6328i | 1.40872 | − | 1.02316i | ||||
\(298\) | −41.4040 | −2.39847 | ||||||||
\(299\) | 1.69159 | + | 1.41941i | 0.0978272 | + | 0.0820868i | ||||
\(300\) | −4.59920 | − | 6.48840i | −0.265535 | − | 0.374608i | ||||
\(301\) | 0.884227 | + | 5.01470i | 0.0509660 | + | 0.289043i | ||||
\(302\) | −10.2579 | − | 3.73357i | −0.590275 | − | 0.214843i | ||||
\(303\) | 20.4199 | + | 14.1234i | 1.17309 | + | 0.811369i | ||||
\(304\) | −2.19971 | + | 12.4752i | −0.126162 | + | 0.715499i | ||||
\(305\) | 0.554441 | − | 0.960320i | 0.0317472 | − | 0.0549877i | ||||
\(306\) | 31.8386 | − | 18.8748i | 1.82009 | − | 1.07900i | ||||
\(307\) | −4.93177 | − | 8.54207i | −0.281471 | − | 0.487522i | 0.690276 | − | 0.723546i | \(-0.257489\pi\) |
−0.971747 | + | 0.236024i | \(0.924156\pi\) | |||||||
\(308\) | 6.08234 | − | 2.21379i | 0.346574 | − | 0.126142i | ||||
\(309\) | −0.856093 | + | 0.866022i | −0.0487014 | + | 0.0492663i | ||||
\(310\) | 6.89383 | − | 5.78461i | 0.391543 | − | 0.328544i | ||||
\(311\) | 1.15857 | − | 0.972155i | 0.0656965 | − | 0.0551259i | −0.609348 | − | 0.792903i | \(-0.708569\pi\) |
0.675045 | + | 0.737777i | \(0.264124\pi\) | |||||||
\(312\) | −1.44657 | − | 0.378683i | −0.0818962 | − | 0.0214387i | ||||
\(313\) | 2.83637 | − | 1.03236i | 0.160321 | − | 0.0583522i | −0.260613 | − | 0.965443i | \(-0.583925\pi\) |
0.420934 | + | 0.907091i | \(0.361702\pi\) | |||||||
\(314\) | 16.7766 | + | 29.0580i | 0.946761 | + | 1.63984i | ||||
\(315\) | 2.80245 | − | 0.527537i | 0.157900 | − | 0.0297233i | ||||
\(316\) | −1.91262 | + | 3.31275i | −0.107593 | + | 0.186357i | ||||
\(317\) | −4.45041 | + | 25.2395i | −0.249960 | + | 1.41759i | 0.558727 | + | 0.829352i | \(0.311290\pi\) |
−0.808686 | + | 0.588240i | \(0.799821\pi\) | |||||||
\(318\) | 13.7792 | − | 6.52232i | 0.772699 | − | 0.365754i | ||||
\(319\) | 40.4204 | + | 14.7118i | 2.26311 | + | 0.823704i | ||||
\(320\) | 0.0166750 | + | 0.0945685i | 0.000932160 | + | 0.00528654i | ||||
\(321\) | −7.16232 | + | 15.5938i | −0.399762 | + | 0.870358i | ||||
\(322\) | −5.37573 | − | 4.51077i | −0.299578 | − | 0.251375i | ||||
\(323\) | −17.7455 | −0.987385 | ||||||||
\(324\) | −10.0855 | + | 0.232630i | −0.560305 | + | 0.0129239i | ||||
\(325\) | −2.27722 | −0.126317 | ||||||||
\(326\) | −14.8951 | − | 12.4985i | −0.824965 | − | 0.692228i | ||||
\(327\) | 6.60717 | − | 14.3851i | 0.365377 | − | 0.795497i | ||||
\(328\) | −2.02380 | − | 11.4775i | −0.111745 | − | 0.633740i | ||||
\(329\) | −9.35729 | − | 3.40578i | −0.515884 | − | 0.187767i | ||||
\(330\) | −15.1808 | + | 7.18575i | −0.835674 | + | 0.395563i | ||||
\(331\) | −1.49191 | + | 8.46107i | −0.0820030 | + | 0.465062i | 0.915960 | + | 0.401269i | \(0.131431\pi\) |
−0.997963 | + | 0.0637929i | \(0.979680\pi\) | |||||||
\(332\) | −1.91715 | + | 3.32060i | −0.105217 | + | 0.182242i | ||||
\(333\) | −5.74616 | + | 16.3724i | −0.314888 | + | 0.897203i | ||||
\(334\) | 10.9274 | + | 18.9268i | 0.597921 | + | 1.03563i | ||||
\(335\) | −6.00419 | + | 2.18535i | −0.328044 | + | 0.119398i | ||||
\(336\) | 8.35345 | + | 2.18676i | 0.455718 | + | 0.119298i | ||||
\(337\) | 23.6691 | − | 19.8607i | 1.28934 | − | 1.08188i | 0.297452 | − | 0.954737i | \(-0.403863\pi\) |
0.991884 | − | 0.127144i | \(-0.0405812\pi\) | |||||||
\(338\) | −17.1747 | + | 14.4113i | −0.934181 | + | 0.783871i | ||||
\(339\) | 5.80141 | − | 5.86870i | 0.315090 | − | 0.318744i | ||||
\(340\) | −6.99239 | + | 2.54502i | −0.379216 | + | 0.138023i | ||||
\(341\) | 15.4729 | + | 26.7999i | 0.837907 | + | 1.45130i | ||||
\(342\) | 11.7393 | + | 6.59837i | 0.634787 | + | 0.356799i | ||||
\(343\) | 0.500000 | − | 0.866025i | 0.0269975 | − | 0.0467610i | ||||
\(344\) | 1.37322 | − | 7.78789i | 0.0740388 | − | 0.419895i | ||||
\(345\) | 5.37884 | + | 3.72027i | 0.289587 | + | 0.200293i | ||||
\(346\) | −23.3620 | − | 8.50306i | −1.25595 | − | 0.457128i | ||||
\(347\) | −0.949305 | − | 5.38378i | −0.0509614 | − | 0.289016i | 0.948667 | − | 0.316277i | \(-0.102433\pi\) |
−0.999628 | + | 0.0272603i | \(0.991322\pi\) | |||||||
\(348\) | −8.36326 | − | 11.7986i | −0.448318 | − | 0.632472i | ||||
\(349\) | 19.9957 | + | 16.7784i | 1.07034 | + | 0.898125i | 0.995084 | − | 0.0990385i | \(-0.0315767\pi\) |
0.0752605 | + | 0.997164i | \(0.476021\pi\) | |||||||
\(350\) | 7.23681 | 0.386824 | ||||||||
\(351\) | −1.61563 | + | 2.39447i | −0.0862362 | + | 0.127807i | ||||
\(352\) | −32.9216 | −1.75473 | ||||||||
\(353\) | −17.1727 | − | 14.4096i | −0.914013 | − | 0.766948i | 0.0588653 | − | 0.998266i | \(-0.481252\pi\) |
−0.972878 | + | 0.231318i | \(0.925696\pi\) | |||||||
\(354\) | 15.7040 | − | 1.46521i | 0.834660 | − | 0.0778748i | ||||
\(355\) | 0.248664 | + | 1.41024i | 0.0131977 | + | 0.0748480i | ||||
\(356\) | 4.93981 | + | 1.79794i | 0.261809 | + | 0.0952909i | ||||
\(357\) | −0.984770 | + | 12.0561i | −0.0521195 | + | 0.638079i | ||||
\(358\) | 5.09397 | − | 28.8893i | 0.269225 | − | 1.52685i | ||||
\(359\) | −4.70432 | + | 8.14812i | −0.248284 | + | 0.430041i | −0.963050 | − | 0.269323i | \(-0.913200\pi\) |
0.714765 | + | 0.699364i | \(0.246533\pi\) | |||||||
\(360\) | −4.36998 | − | 0.718692i | −0.230318 | − | 0.0378784i | ||||
\(361\) | 6.27179 | + | 10.8631i | 0.330094 | + | 0.571740i | ||||
\(362\) | −22.0193 | + | 8.01435i | −1.15731 | + | 0.421225i | ||||
\(363\) | −10.2323 | − | 37.3255i | −0.537058 | − | 1.95908i | ||||
\(364\) | −0.477334 | + | 0.400531i | −0.0250191 | + | 0.0209935i | ||||
\(365\) | 9.94657 | − | 8.34616i | 0.520627 | − | 0.436858i | ||||
\(366\) | −0.943719 | − | 3.44249i | −0.0493290 | − | 0.179942i | ||||
\(367\) | −31.9353 | + | 11.6235i | −1.66701 | + | 0.606741i | −0.991441 | − | 0.130559i | \(-0.958323\pi\) |
−0.675566 | + | 0.737300i | \(0.736101\pi\) | |||||||
\(368\) | 9.90173 | + | 17.1503i | 0.516163 | + | 0.894021i | ||||
\(369\) | −22.2151 | − | 3.65352i | −1.15647 | − | 0.190195i | ||||
\(370\) | 4.85629 | − | 8.41134i | 0.252466 | − | 0.437285i | ||||
\(371\) | −0.865154 | + | 4.90653i | −0.0449166 | + | 0.254735i | ||||
\(372\) | 0.847034 | − | 10.3699i | 0.0439166 | − | 0.537654i | ||||
\(373\) | −31.7323 | − | 11.5496i | −1.64304 | − | 0.598017i | −0.655471 | − | 0.755220i | \(-0.727530\pi\) |
−0.987566 | + | 0.157204i | \(0.949752\pi\) | |||||||
\(374\) | −12.3714 | − | 70.1615i | −0.639708 | − | 3.62796i | ||||
\(375\) | −14.9117 | + | 1.39128i | −0.770039 | + | 0.0718456i | ||||
\(376\) | 11.8466 | + | 9.94047i | 0.610941 | + | 0.512640i | ||||
\(377\) | −4.14093 | −0.213269 | ||||||||
\(378\) | 5.13435 | − | 7.60940i | 0.264082 | − | 0.391385i | ||||
\(379\) | 13.1392 | 0.674913 | 0.337457 | − | 0.941341i | \(-0.390433\pi\) | ||||
0.337457 | + | 0.941341i | \(0.390433\pi\) | |||||||
\(380\) | −2.07395 | − | 1.74025i | −0.106391 | − | 0.0892729i | ||||
\(381\) | −10.8959 | − | 15.3716i | −0.558214 | − | 0.787509i | ||||
\(382\) | −3.50696 | − | 19.8890i | −0.179432 | − | 1.01761i | ||||
\(383\) | −10.3216 | − | 3.75675i | −0.527408 | − | 0.191961i | 0.0645726 | − | 0.997913i | \(-0.479432\pi\) |
−0.591981 | + | 0.805952i | \(0.701654\pi\) | |||||||
\(384\) | −15.9887 | − | 11.0586i | −0.815919 | − | 0.564330i | ||||
\(385\) | 0.953155 | − | 5.40561i | 0.0485773 | − | 0.275495i | ||||
\(386\) | −21.0244 | + | 36.4153i | −1.07011 | + | 1.85349i | ||||
\(387\) | −13.3168 | − | 7.48504i | −0.676929 | − | 0.380486i | ||||
\(388\) | 2.38167 | + | 4.12517i | 0.120911 | + | 0.209424i | ||||
\(389\) | −2.96588 | + | 1.07949i | −0.150376 | + | 0.0547323i | −0.416111 | − | 0.909314i | \(-0.636607\pi\) |
0.265736 | + | 0.964046i | \(0.414385\pi\) | |||||||
\(390\) | 1.13670 | − | 1.14988i | 0.0575588 | − | 0.0582264i | ||||
\(391\) | −21.2515 | + | 17.8321i | −1.07473 | + | 0.901807i | ||||
\(392\) | −1.18968 | + | 0.998257i | −0.0600877 | + | 0.0504196i | ||||
\(393\) | −19.2998 | − | 5.05228i | −0.973545 | − | 0.254854i | ||||
\(394\) | 17.0834 | − | 6.21784i | 0.860649 | − | 0.313250i | ||||
\(395\) | 1.62195 | + | 2.80930i | 0.0816091 | + | 0.141351i | ||||
\(396\) | −6.43053 | + | 18.3224i | −0.323146 | + | 0.920735i | ||||
\(397\) | −11.0330 | + | 19.1098i | −0.553732 | + | 0.959092i | 0.444269 | + | 0.895894i | \(0.353464\pi\) |
−0.998001 | + | 0.0631987i | \(0.979870\pi\) | |||||||
\(398\) | 1.48022 | − | 8.39477i | 0.0741969 | − | 0.420792i | ||||
\(399\) | −3.97792 | + | 1.88293i | −0.199145 | + | 0.0942645i | ||||
\(400\) | −19.1907 | − | 6.98485i | −0.959535 | − | 0.349242i | ||||
\(401\) | 2.15986 | + | 12.2492i | 0.107858 | + | 0.611695i | 0.990040 | + | 0.140786i | \(0.0449629\pi\) |
−0.882182 | + | 0.470909i | \(0.843926\pi\) | |||||||
\(402\) | −8.58479 | + | 18.6907i | −0.428170 | + | 0.932209i | ||||
\(403\) | −2.28213 | − | 1.91493i | −0.113681 | − | 0.0953897i | ||||
\(404\) | −16.0678 | −0.799402 | ||||||||
\(405\) | −4.10552 | + | 7.50553i | −0.204005 | + | 0.372953i | ||||
\(406\) | 13.1595 | 0.653096 | ||||||||
\(407\) | 25.5850 | + | 21.4683i | 1.26820 | + | 1.06415i | ||||
\(408\) | 7.84089 | − | 17.0711i | 0.388182 | − | 0.845146i | ||||
\(409\) | 5.09283 | + | 28.8829i | 0.251824 | + | 1.42817i | 0.804095 | + | 0.594501i | \(0.202650\pi\) |
−0.552270 | + | 0.833665i | \(0.686238\pi\) | |||||||
\(410\) | 11.8420 | + | 4.31015i | 0.584836 | + | 0.212863i | ||||
\(411\) | −8.69392 | + | 4.11523i | −0.428840 | + | 0.202989i | ||||
\(412\) | 0.136847 | − | 0.776096i | 0.00674195 | − | 0.0382355i | ||||
\(413\) | −2.57728 | + | 4.46399i | −0.126820 | + | 0.219658i | ||||
\(414\) | 20.6892 | − | 3.89455i | 1.01682 | − | 0.191407i | ||||
\(415\) | 1.62579 | + | 2.81595i | 0.0798068 | + | 0.138230i | ||||
\(416\) | 2.97818 | − | 1.08397i | 0.146017 | − | 0.0531459i | ||||
\(417\) | −7.27882 | − | 1.90544i | −0.356445 | − | 0.0933100i | ||||
\(418\) | 19.8566 | − | 16.6617i | 0.971219 | − | 0.814950i | ||||
\(419\) | 2.73598 | − | 2.29576i | 0.133661 | − | 0.112155i | −0.573506 | − | 0.819201i | \(-0.694417\pi\) |
0.707168 | + | 0.707046i | \(0.249973\pi\) | |||||||
\(420\) | −1.29740 | + | 1.31245i | −0.0633069 | + | 0.0640411i | ||||
\(421\) | 16.5499 | − | 6.02366i | 0.806591 | − | 0.293575i | 0.0943759 | − | 0.995537i | \(-0.469914\pi\) |
0.712215 | + | 0.701962i | \(0.247692\pi\) | |||||||
\(422\) | −7.02019 | − | 12.1593i | −0.341737 | − | 0.591907i | ||||
\(423\) | 25.6972 | − | 15.2341i | 1.24944 | − | 0.740705i | ||||
\(424\) | 3.86873 | − | 6.70084i | 0.187882 | − | 0.325421i | ||||
\(425\) | 4.96785 | − | 28.1741i | 0.240976 | − | 1.36664i | ||||
\(426\) | 3.79117 | + | 2.62216i | 0.183683 | + | 0.127044i | ||||
\(427\) | 1.09621 | + | 0.398987i | 0.0530492 | + | 0.0193083i | ||||
\(428\) | −1.92839 | − | 10.9365i | −0.0932124 | − | 0.528634i | ||||
\(429\) | 3.21529 | + | 4.53602i | 0.155235 | + | 0.219001i | ||||
\(430\) | 6.55038 | + | 5.49642i | 0.315887 | + | 0.265061i | ||||
\(431\) | 25.2880 | 1.21808 | 0.609040 | − | 0.793139i | \(-0.291555\pi\) | ||||
0.609040 | + | 0.793139i | \(0.291555\pi\) | |||||||
\(432\) | −20.9598 | + | 15.2232i | −1.00843 | + | 0.732425i | ||||
\(433\) | 3.97242 | 0.190902 | 0.0954512 | − | 0.995434i | \(-0.469571\pi\) | ||||
0.0954512 | + | 0.995434i | \(0.469571\pi\) | |||||||
\(434\) | 7.25241 | + | 6.08549i | 0.348127 | + | 0.292113i | ||||
\(435\) | −12.2111 | + | 1.13932i | −0.585480 | + | 0.0546260i | ||||
\(436\) | 1.77892 | + | 10.0888i | 0.0851950 | + | 0.483165i | ||||
\(437\) | −9.48472 | − | 3.45216i | −0.453716 | − | 0.165139i | ||||
\(438\) | 3.40271 | − | 41.6580i | 0.162588 | − | 1.99050i | ||||
\(439\) | 1.85548 | − | 10.5230i | 0.0885574 | − | 0.502234i | −0.907975 | − | 0.419025i | \(-0.862372\pi\) |
0.996532 | − | 0.0832089i | \(-0.0265169\pi\) | |||||||
\(440\) | −4.26224 | + | 7.38242i | −0.203194 | + | 0.351943i | ||||
\(441\) | 1.05850 | + | 2.80706i | 0.0504047 | + | 0.133669i | ||||
\(442\) | 3.42926 | + | 5.93966i | 0.163113 | + | 0.282521i | ||||
\(443\) | 4.50352 | − | 1.63915i | 0.213968 | − | 0.0778782i | −0.232812 | − | 0.972522i | \(-0.574793\pi\) |
0.446781 | + | 0.894644i | \(0.352570\pi\) | |||||||
\(444\) | −2.96880 | − | 10.8296i | −0.140893 | − | 0.513949i | ||||
\(445\) | 3.41497 | − | 2.86550i | 0.161885 | − | 0.135838i | ||||
\(446\) | −19.0157 | + | 15.9560i | −0.900418 | + | 0.755540i | ||||
\(447\) | 10.7324 | + | 39.1497i | 0.507626 | + | 1.85172i | ||||
\(448\) | −0.0949299 | + | 0.0345516i | −0.00448501 | + | 0.00163241i | ||||
\(449\) | −4.95718 | − | 8.58608i | −0.233944 | − | 0.405202i | 0.725022 | − | 0.688726i | \(-0.241830\pi\) |
−0.958965 | + | 0.283524i | \(0.908496\pi\) | |||||||
\(450\) | −13.7625 | + | 16.7910i | −0.648771 | + | 0.791534i | ||||
\(451\) | −21.6674 | + | 37.5290i | −1.02028 | + | 1.76717i | ||||
\(452\) | −0.927357 | + | 5.25930i | −0.0436192 | + | 0.247377i | ||||
\(453\) | −0.871314 | + | 10.6672i | −0.0409379 | + | 0.501186i | ||||
\(454\) | 31.8147 | + | 11.5796i | 1.49314 | + | 0.543459i | ||||
\(455\) | 0.0917586 | + | 0.520389i | 0.00430171 | + | 0.0243962i | ||||
\(456\) | 6.80533 | − | 0.634946i | 0.318689 | − | 0.0297341i | ||||
\(457\) | 30.0649 | + | 25.2275i | 1.40638 | + | 1.18009i | 0.958183 | + | 0.286155i | \(0.0923772\pi\) |
0.448194 | + | 0.893936i | \(0.352067\pi\) | |||||||
\(458\) | −7.00535 | −0.327338 | ||||||||
\(459\) | −26.1001 | − | 25.2125i | −1.21825 | − | 1.17682i | ||||
\(460\) | −4.23244 | −0.197339 | ||||||||
\(461\) | −1.00126 | − | 0.840160i | −0.0466335 | − | 0.0391301i | 0.619173 | − | 0.785255i | \(-0.287468\pi\) |
−0.665807 | + | 0.746124i | \(0.731912\pi\) | |||||||
\(462\) | −10.2179 | − | 14.4151i | −0.475380 | − | 0.670650i | ||||
\(463\) | 4.00424 | + | 22.7092i | 0.186093 | + | 1.05539i | 0.924543 | + | 0.381078i | \(0.124447\pi\) |
−0.738450 | + | 0.674308i | \(0.764442\pi\) | |||||||
\(464\) | −34.8967 | − | 12.7014i | −1.62004 | − | 0.589645i | ||||
\(465\) | −7.25661 | − | 5.01903i | −0.336517 | − | 0.232752i | ||||
\(466\) | 5.86423 | − | 33.2577i | 0.271655 | − | 1.54063i | ||||
\(467\) | 19.4617 | − | 33.7087i | 0.900582 | − | 1.55985i | 0.0738408 | − | 0.997270i | \(-0.476474\pi\) |
0.826741 | − | 0.562583i | \(-0.190192\pi\) | |||||||
\(468\) | −0.0215547 | − | 1.86922i | −0.000996366 | − | 0.0864048i | ||||
\(469\) | −3.36094 | − | 5.82132i | −0.155194 | − | 0.268803i | ||||
\(470\) | −15.7134 | + | 5.71919i | −0.724803 | + | 0.263807i | ||||
\(471\) | 23.1271 | − | 23.3954i | 1.06564 | − | 1.07800i | ||||
\(472\) | 6.13227 | − | 5.14558i | 0.282260 | − | 0.236845i | ||||
\(473\) | −22.5249 | + | 18.9006i | −1.03570 | + | 0.869051i | ||||
\(474\) | 10.1018 | + | 2.64443i | 0.463989 | + | 0.121463i | ||||
\(475\) | 9.78112 | − | 3.56004i | 0.448789 | − | 0.163346i | ||||
\(476\) | −3.91410 | − | 6.77942i | −0.179402 | − | 0.310734i | ||||
\(477\) | −9.73892 | − | 11.3383i | −0.445915 | − | 0.519144i | ||||
\(478\) | −5.78929 | + | 10.0274i | −0.264796 | + | 0.458640i | ||||
\(479\) | −5.94939 | + | 33.7407i | −0.271835 | + | 1.54165i | 0.477005 | + | 0.878901i | \(0.341722\pi\) |
−0.748840 | + | 0.662751i | \(0.769389\pi\) | |||||||
\(480\) | 8.48407 | − | 4.01590i | 0.387243 | − | 0.183300i | ||||
\(481\) | −3.02134 | − | 1.09968i | −0.137761 | − | 0.0501410i | ||||
\(482\) | −2.13911 | − | 12.1315i | −0.0974339 | − | 0.552575i | ||||
\(483\) | −2.87171 | + | 6.25227i | −0.130668 | + | 0.284488i | ||||
\(484\) | 19.1868 | + | 16.0997i | 0.872129 | + | 0.731803i | ||||
\(485\) | 4.03943 | 0.183421 | ||||||||
\(486\) | 7.89129 | + | 26.3839i | 0.357956 | + | 1.19680i | ||||
\(487\) | 18.7832 | 0.851150 | 0.425575 | − | 0.904923i | \(-0.360072\pi\) | ||||
0.425575 | + | 0.904923i | \(0.360072\pi\) | |||||||
\(488\) | −1.38783 | − | 1.16453i | −0.0628240 | − | 0.0527156i | ||||
\(489\) | −7.95699 | + | 17.3239i | −0.359827 | + | 0.783413i | ||||
\(490\) | −0.291601 | − | 1.65375i | −0.0131732 | − | 0.0747089i | ||||
\(491\) | 7.44323 | + | 2.70911i | 0.335908 | + | 0.122261i | 0.504467 | − | 0.863431i | \(-0.331689\pi\) |
−0.168559 | + | 0.985692i | \(0.553911\pi\) | |||||||
\(492\) | 13.1690 | − | 6.23347i | 0.593703 | − | 0.281027i | ||||
\(493\) | 9.03362 | − | 51.2322i | 0.406854 | − | 2.30738i | ||||
\(494\) | −1.24768 | + | 2.16105i | −0.0561360 | + | 0.0972304i | ||||
\(495\) | 10.7295 | + | 12.4916i | 0.482257 | + | 0.561454i | ||||
\(496\) | −13.3585 | − | 23.1375i | −0.599812 | − | 1.03891i | ||||
\(497\) | −1.41563 | + | 0.515248i | −0.0634998 | + | 0.0231120i | ||||
\(498\) | 10.1257 | + | 2.65069i | 0.453742 | + | 0.118780i | ||||
\(499\) | 17.2824 | − | 14.5017i | 0.773667 | − | 0.649183i | −0.167979 | − | 0.985791i | \(-0.553724\pi\) |
0.941645 | + | 0.336607i | \(0.109279\pi\) | |||||||
\(500\) | 7.42461 | − | 6.22999i | 0.332039 | − | 0.278613i | ||||
\(501\) | 15.0638 | − | 15.2385i | 0.673000 | − | 0.680805i | ||||
\(502\) | −38.0311 | + | 13.8422i | −1.69741 | + | 0.617807i | ||||
\(503\) | −9.89563 | − | 17.1397i | −0.441224 | − | 0.764223i | 0.556556 | − | 0.830810i | \(-0.312122\pi\) |
−0.997781 | + | 0.0665869i | \(0.978789\pi\) | |||||||
\(504\) | −0.0537215 | − | 4.65873i | −0.00239295 | − | 0.207516i | ||||
\(505\) | −6.81293 | + | 11.8003i | −0.303172 | + | 0.525108i | ||||
\(506\) | 7.03669 | − | 39.9071i | 0.312819 | − | 1.77409i | ||||
\(507\) | 18.0785 | + | 12.5040i | 0.802895 | + | 0.555322i | ||||
\(508\) | 11.4581 | + | 4.17041i | 0.508371 | + | 0.185032i | ||||
\(509\) | −1.56394 | − | 8.86955i | −0.0693204 | − | 0.393136i | −0.999651 | − | 0.0264139i | \(-0.991591\pi\) |
0.930331 | − | 0.366722i | \(-0.119520\pi\) | |||||||
\(510\) | 11.7467 | + | 16.5719i | 0.520153 | + | 0.733815i | ||||
\(511\) | 10.4639 | + | 8.78029i | 0.462897 | + | 0.388417i | ||||
\(512\) | 12.9379 | 0.571781 | ||||||||
\(513\) | 3.19614 | − | 12.8105i | 0.141113 | − | 0.565596i | ||||
\(514\) | 18.8566 | 0.831731 | ||||||||
\(515\) | −0.511948 | − | 0.429576i | −0.0225591 | − | 0.0189294i | ||||
\(516\) | 9.84333 | − | 0.918395i | 0.433328 | − | 0.0404301i | ||||
\(517\) | −9.98504 | − | 56.6280i | −0.439141 | − | 2.49049i | ||||
\(518\) | 9.60156 | + | 3.49468i | 0.421868 | + | 0.153548i | ||||
\(519\) | −1.98439 | + | 24.2941i | −0.0871049 | + | 1.06639i | ||||
\(520\) | 0.142502 | − | 0.808170i | 0.00624914 | − | 0.0354406i | ||||
\(521\) | −15.6099 | + | 27.0371i | −0.683880 | + | 1.18452i | 0.289907 | + | 0.957055i | \(0.406376\pi\) |
−0.973787 | + | 0.227461i | \(0.926958\pi\) | |||||||
\(522\) | −25.0259 | + | 30.5329i | −1.09536 | + | 1.33639i | ||||
\(523\) | −6.38985 | − | 11.0675i | −0.279409 | − | 0.483950i | 0.691829 | − | 0.722061i | \(-0.256805\pi\) |
−0.971238 | + | 0.238111i | \(0.923472\pi\) | |||||||
\(524\) | 12.1322 | − | 4.41577i | 0.529999 | − | 0.192904i | ||||
\(525\) | −1.87587 | − | 6.84278i | −0.0818695 | − | 0.298643i | ||||
\(526\) | −15.0535 | + | 12.6314i | −0.656366 | + | 0.550756i | ||||
\(527\) | 28.6704 | − | 24.0573i | 1.24890 | − | 1.04795i | ||||
\(528\) | 13.1828 | + | 48.0883i | 0.573709 | + | 2.09277i | ||||
\(529\) | 6.78531 | − | 2.46965i | 0.295014 | − | 0.107376i | ||||
\(530\) | 4.18323 | + | 7.24557i | 0.181708 | + | 0.314728i | ||||
\(531\) | −5.45610 | − | 14.4692i | −0.236775 | − | 0.627909i | ||||
\(532\) | 1.42409 | − | 2.46659i | 0.0617419 | − | 0.106940i | ||||
\(533\) | 0.724420 | − | 4.10839i | 0.0313781 | − | 0.177954i | ||||
\(534\) | 1.16826 | − | 14.3025i | 0.0505554 | − | 0.618929i | ||||
\(535\) | −8.84952 | − | 3.22096i | −0.382598 | − | 0.139254i | ||||
\(536\) | 1.81274 | + | 10.2806i | 0.0782985 | + | 0.444053i | ||||
\(537\) | −28.6368 | + | 2.67184i | −1.23577 | + | 0.115299i | ||||
\(538\) | 11.8364 | + | 9.93190i | 0.510303 | + | 0.428195i | ||||
\(539\) | 5.77451 | 0.248726 | ||||||||
\(540\) | −0.577850 | − | 5.50619i | −0.0248667 | − | 0.236949i | ||||
\(541\) | −0.211746 | −0.00910368 | −0.00455184 | − | 0.999990i | \(-0.501449\pi\) | ||||
−0.00455184 | + | 0.999990i | \(0.501449\pi\) | |||||||
\(542\) | −5.13486 | − | 4.30866i | −0.220561 | − | 0.185073i | ||||
\(543\) | 13.2856 | + | 18.7429i | 0.570141 | + | 0.804336i | ||||
\(544\) | 6.91398 | + | 39.2111i | 0.296434 | + | 1.68116i | ||||
\(545\) | 8.16359 | + | 2.97130i | 0.349690 | + | 0.127277i | ||||
\(546\) | 1.39896 | + | 0.967593i | 0.0598701 | + | 0.0414092i | ||||
\(547\) | 0.681478 | − | 3.86485i | 0.0291379 | − | 0.165249i | −0.966767 | − | 0.255661i | \(-0.917707\pi\) |
0.995905 | + | 0.0904114i | \(0.0288182\pi\) | |||||||
\(548\) | 3.11240 | − | 5.39084i | 0.132955 | − | 0.230285i | ||||
\(549\) | −3.01043 | + | 1.78467i | −0.128482 | + | 0.0761679i | ||||
\(550\) | 20.8945 | + | 36.1904i | 0.890945 | + | 1.54316i | ||||
\(551\) | 17.7861 | − | 6.47362i | 0.757715 | − | 0.275786i | ||||
\(552\) | 7.51181 | − | 7.59894i | 0.319724 | − | 0.323432i | ||||
\(553\) | −2.61422 | + | 2.19359i | −0.111168 | + | 0.0932811i | ||||
\(554\) | 40.8142 | − | 34.2472i | 1.73403 | − | 1.45502i | ||||
\(555\) | −9.21216 | − | 2.41155i | −0.391034 | − | 0.102365i | ||||
\(556\) | 4.57561 | − | 1.66539i | 0.194049 | − | 0.0706281i | ||||
\(557\) | 2.31791 | + | 4.01474i | 0.0982130 | + | 0.170110i | 0.910945 | − | 0.412528i | \(-0.135354\pi\) |
−0.812732 | + | 0.582638i | \(0.802021\pi\) | |||||||
\(558\) | −27.9118 | + | 5.25415i | −1.18160 | + | 0.222426i | ||||
\(559\) | 1.41534 | − | 2.45145i | 0.0598627 | − | 0.103685i | ||||
\(560\) | −0.822900 | + | 4.66690i | −0.0347739 | + | 0.197212i | ||||
\(561\) | −63.1345 | + | 29.8845i | −2.66554 | + | 1.26172i | ||||
\(562\) | 18.7684 | + | 6.83114i | 0.791697 | + | 0.288154i | ||||
\(563\) | −0.203601 | − | 1.15468i | −0.00858076 | − | 0.0486639i | 0.980217 | − | 0.197927i | \(-0.0634209\pi\) |
−0.988798 | + | 0.149263i | \(0.952310\pi\) | |||||||
\(564\) | −8.06924 | + | 17.5683i | −0.339776 | + | 0.739758i | ||||
\(565\) | 3.46928 | + | 2.91107i | 0.145954 | + | 0.122470i | ||||
\(566\) | −41.1633 | −1.73022 | ||||||||
\(567\) | −8.52597 | − | 2.88234i | −0.358057 | − | 0.121047i | ||||
\(568\) | 2.33959 | 0.0981670 | ||||||||
\(569\) | −10.1118 | − | 8.48485i | −0.423911 | − | 0.355703i | 0.405738 | − | 0.913990i | \(-0.367015\pi\) |
−0.829648 | + | 0.558286i | \(0.811459\pi\) | |||||||
\(570\) | −3.08470 | + | 6.71599i | −0.129204 | + | 0.281302i | ||||
\(571\) | −7.19197 | − | 40.7877i | −0.300975 | − | 1.70691i | −0.641872 | − | 0.766811i | \(-0.721842\pi\) |
0.340898 | − | 0.940100i | \(-0.389269\pi\) | |||||||
\(572\) | −3.38119 | − | 1.23065i | −0.141375 | − | 0.0514561i | ||||
\(573\) | −17.8970 | + | 8.47147i | −0.747658 | + | 0.353901i | ||||
\(574\) | −2.30214 | + | 13.0561i | −0.0960896 | + | 0.544951i | ||||
\(575\) | 8.13616 | − | 14.0922i | 0.339301 | − | 0.587687i | ||||
\(576\) | 0.100364 | − | 0.285966i | 0.00418184 | − | 0.0119152i | ||||
\(577\) | 0.0903059 | + | 0.156414i | 0.00375948 | + | 0.00651162i | 0.867899 | − | 0.496741i | \(-0.165470\pi\) |
−0.864140 | + | 0.503252i | \(0.832137\pi\) | |||||||
\(578\) | −52.7462 | + | 19.1980i | −2.19395 | + | 0.798533i | ||||
\(579\) | 39.8824 | + | 10.4404i | 1.65745 | + | 0.433887i | ||||
\(580\) | 6.07998 | − | 5.10171i | 0.252457 | − | 0.211837i | ||||
\(581\) | −2.62041 | + | 2.19879i | −0.108713 | + | 0.0912211i | ||||
\(582\) | 9.14133 | − | 9.24735i | 0.378920 | − | 0.383315i | ||||
\(583\) | −27.0349 | + | 9.83989i | −1.11967 | + | 0.407527i | ||||
\(584\) | −10.6068 | − | 18.3716i | −0.438914 | − | 0.760222i | ||||
\(585\) | −1.38192 | − | 0.776743i | −0.0571352 | − | 0.0321144i | ||||
\(586\) | 14.3809 | − | 24.9084i | 0.594068 | − | 1.02896i | ||||
\(587\) | −3.98939 | + | 22.6249i | −0.164660 | + | 0.933832i | 0.784755 | + | 0.619806i | \(0.212789\pi\) |
−0.949415 | + | 0.314025i | \(0.898322\pi\) | |||||||
\(588\) | −1.59675 | − | 1.10439i | −0.0658490 | − | 0.0455444i | ||||
\(589\) | 12.7959 | + | 4.65731i | 0.527244 | + | 0.191901i | ||||
\(590\) | 1.50308 | + | 8.52437i | 0.0618807 | + | 0.350943i | ||||
\(591\) | −10.3075 | − | 14.5415i | −0.423994 | − | 0.598157i | ||||
\(592\) | −22.0886 | − | 18.5345i | −0.907835 | − | 0.761764i | ||||
\(593\) | 4.91098 | 0.201670 | 0.100835 | − | 0.994903i | \(-0.467849\pi\) | ||||
0.100835 | + | 0.994903i | \(0.467849\pi\) | |||||||
\(594\) | 52.8778 | + | 3.70592i | 2.16960 | + | 0.152056i | ||||
\(595\) | −6.63850 | −0.272152 | ||||||||
\(596\) | −20.1245 | − | 16.8865i | −0.824333 | − | 0.691698i | ||||
\(597\) | −8.32138 | + | 0.776395i | −0.340571 | + | 0.0317757i | ||||
\(598\) | 0.677410 | + | 3.84179i | 0.0277014 | + | 0.157102i | ||||
\(599\) | 10.7583 | + | 3.91569i | 0.439571 | + | 0.159991i | 0.552319 | − | 0.833633i | \(-0.313743\pi\) |
−0.112748 | + | 0.993624i | \(0.535965\pi\) | |||||||
\(600\) | −0.897066 | + | 10.9824i | −0.0366226 | + | 0.448356i | ||||
\(601\) | 1.88887 | − | 10.7123i | 0.0770487 | − | 0.436965i | −0.921742 | − | 0.387803i | \(-0.873234\pi\) |
0.998791 | − | 0.0491615i | \(-0.0156549\pi\) | |||||||
\(602\) | −4.49784 | + | 7.79049i | −0.183318 | + | 0.317517i | ||||
\(603\) | 19.8983 | + | 3.27250i | 0.810322 | + | 0.133267i | ||||
\(604\) | −3.46315 | − | 5.99836i | −0.140914 | − | 0.244070i | ||||
\(605\) | 19.9592 | − | 7.26456i | 0.811458 | − | 0.295346i | ||||
\(606\) | 11.5964 | + | 42.3011i | 0.471070 | + | 1.71837i | ||||
\(607\) | 11.6814 | − | 9.80189i | 0.474135 | − | 0.397847i | −0.374165 | − | 0.927362i | \(-0.622071\pi\) |
0.848300 | + | 0.529516i | \(0.177626\pi\) | |||||||
\(608\) | −11.0973 | + | 9.31171i | −0.450053 | + | 0.377640i | ||||
\(609\) | −3.41111 | − | 12.4430i | −0.138225 | − | 0.504216i | ||||
\(610\) | 1.84082 | − | 0.670004i | 0.0745326 | − | 0.0271277i | ||||
\(611\) | 2.76779 | + | 4.79395i | 0.111973 | + | 0.193942i | ||||
\(612\) | 23.1733 | + | 3.81111i | 0.936725 | + | 0.154055i | ||||
\(613\) | −11.1218 | + | 19.2636i | −0.449206 | + | 0.778048i | −0.998335 | − | 0.0576899i | \(-0.981627\pi\) |
0.549128 | + | 0.835738i | \(0.314960\pi\) | |||||||
\(614\) | 3.02582 | − | 17.1603i | 0.122112 | − | 0.692533i | ||||
\(615\) | 1.00587 | − | 12.3145i | 0.0405607 | − | 0.496568i | ||||
\(616\) | −8.42705 | − | 3.06720i | −0.339536 | − | 0.123581i | ||||
\(617\) | −0.340133 | − | 1.92899i | −0.0136932 | − | 0.0776582i | 0.977195 | − | 0.212342i | \(-0.0681092\pi\) |
−0.990889 | + | 0.134684i | \(0.956998\pi\) | |||||||
\(618\) | −2.14197 | + | 0.199848i | −0.0861626 | + | 0.00803907i | ||||
\(619\) | 21.3874 | + | 17.9461i | 0.859631 | + | 0.721316i | 0.961889 | − | 0.273442i | \(-0.0881621\pi\) |
−0.102257 | + | 0.994758i | \(0.532607\pi\) | |||||||
\(620\) | 5.71000 | 0.229319 | ||||||||
\(621\) | −9.04538 | − | 18.5532i | −0.362979 | − | 0.744513i | ||||
\(622\) | 2.67183 | 0.107131 | ||||||||
\(623\) | 3.59260 | + | 3.01455i | 0.143934 | + | 0.120775i | ||||
\(624\) | −2.77589 | − | 3.91614i | −0.111125 | − | 0.156771i | ||||
\(625\) | 2.12945 | + | 12.0767i | 0.0851782 | + | 0.483069i | ||||
\(626\) | 5.01076 | + | 1.82377i | 0.200270 | + | 0.0728925i | ||||
\(627\) | −20.9016 | − | 14.4566i | −0.834728 | − | 0.577339i | ||||
\(628\) | −3.69687 | + | 20.9660i | −0.147521 | + | 0.836635i | ||||
\(629\) | 20.1966 | − | 34.9815i | 0.805290 | − | 1.39480i | ||||
\(630\) | 4.39161 | + | 2.46842i | 0.174966 | + | 0.0983442i | ||||
\(631\) | 7.95780 | + | 13.7833i | 0.316795 | + | 0.548705i | 0.979817 | − | 0.199894i | \(-0.0640599\pi\) |
−0.663022 | + | 0.748600i | \(0.730727\pi\) | |||||||
\(632\) | 4.98023 | − | 1.81266i | 0.198103 | − | 0.0721036i | ||||
\(633\) | −9.67755 | + | 9.78979i | −0.384648 | + | 0.389109i | ||||
\(634\) | −34.6836 | + | 29.1030i | −1.37746 | + | 1.15583i | ||||
\(635\) | 7.92117 | − | 6.64665i | 0.314342 | − | 0.263764i | ||||
\(636\) | 9.35752 | + | 2.44961i | 0.371050 | + | 0.0971332i | ||||
\(637\) | −0.522377 | + | 0.190130i | −0.0206973 | + | 0.00753322i | ||||
\(638\) | 37.9949 | + | 65.8091i | 1.50423 | + | 2.60541i | ||||
\(639\) | 1.49667 | − | 4.26444i | 0.0592074 | − | 0.168699i | ||||
\(640\) | 5.33449 | − | 9.23961i | 0.210864 | − | 0.365228i | ||||
\(641\) | 3.15740 | − | 17.9065i | 0.124710 | − | 0.707264i | −0.856770 | − | 0.515698i | \(-0.827532\pi\) |
0.981480 | − | 0.191565i | \(-0.0613564\pi\) | |||||||
\(642\) | −27.4003 | + | 12.9698i | −1.08140 | + | 0.511878i | ||||
\(643\) | 2.19168 | + | 0.797708i | 0.0864316 | + | 0.0314585i | 0.384874 | − | 0.922969i | \(-0.374245\pi\) |
−0.298442 | + | 0.954428i | \(0.596467\pi\) | |||||||
\(644\) | −0.773184 | − | 4.38494i | −0.0304677 | − | 0.172791i | ||||
\(645\) | 3.49921 | − | 7.61845i | 0.137781 | − | 0.299976i | ||||
\(646\) | −24.0150 | − | 20.1510i | −0.944857 | − | 0.792829i | ||||
\(647\) | −8.17942 | −0.321566 | −0.160783 | − | 0.986990i | \(-0.551402\pi\) | ||||
−0.160783 | + | 0.986990i | \(0.551402\pi\) | |||||||
\(648\) | 10.9114 | + | 8.73502i | 0.428641 | + | 0.343144i | ||||
\(649\) | −29.7651 | −1.16838 | ||||||||
\(650\) | −3.08177 | − | 2.58591i | −0.120877 | − | 0.101428i | ||||
\(651\) | 3.87424 | − | 8.43496i | 0.151843 | − | 0.330592i | ||||
\(652\) | −2.14235 | − | 12.1499i | −0.0839009 | − | 0.475825i | ||||
\(653\) | −8.94417 | − | 3.25541i | −0.350013 | − | 0.127394i | 0.161030 | − | 0.986949i | \(-0.448518\pi\) |
−0.511043 | + | 0.859555i | \(0.670741\pi\) | |||||||
\(654\) | 25.2765 | − | 11.9645i | 0.988391 | − | 0.467850i | ||||
\(655\) | 1.90122 | − | 10.7824i | 0.0742869 | − | 0.421302i | ||||
\(656\) | 18.7064 | − | 32.4004i | 0.730362 | − | 1.26502i | ||||
\(657\) | −40.2718 | + | 7.58081i | −1.57115 | + | 0.295756i | ||||
\(658\) | −8.79579 | − | 15.2348i | −0.342896 | − | 0.593913i | ||||
\(659\) | 17.8395 | − | 6.49303i | 0.694927 | − | 0.252933i | 0.0296836 | − | 0.999559i | \(-0.490550\pi\) |
0.665243 | + | 0.746627i | \(0.268328\pi\) | |||||||
\(660\) | −10.3093 | − | 2.69877i | −0.401290 | − | 0.105050i | ||||
\(661\) | −21.9779 | + | 18.4416i | −0.854840 | + | 0.717296i | −0.960850 | − | 0.277069i | \(-0.910637\pi\) |
0.106010 | + | 0.994365i | \(0.466192\pi\) | |||||||
\(662\) | −11.6270 | + | 9.75622i | −0.451897 | + | 0.379186i | ||||
\(663\) | 4.72735 | − | 4.78218i | 0.183595 | − | 0.185724i | ||||
\(664\) | 4.99202 | − | 1.81695i | 0.193728 | − | 0.0705113i | ||||
\(665\) | −1.20766 | − | 2.09173i | −0.0468310 | − | 0.0811137i | ||||
\(666\) | −26.3681 | + | 15.6317i | −1.02174 | + | 0.605717i | ||||
\(667\) | 14.7949 | − | 25.6256i | 0.572862 | − | 0.992225i | ||||
\(668\) | −2.40795 | + | 13.6561i | −0.0931662 | + | 0.528372i | ||||
\(669\) | 20.0163 | + | 13.8443i | 0.773877 | + | 0.535252i | ||||
\(670\) | −10.6071 | − | 3.86065i | −0.409787 | − | 0.149150i | ||||
\(671\) | 1.16975 | + | 6.63397i | 0.0451576 | + | 0.256102i | ||||
\(672\) | 5.71047 | + | 8.05614i | 0.220286 | + | 0.310772i | ||||
\(673\) | −21.1566 | − | 17.7525i | −0.815529 | − | 0.684310i | 0.136392 | − | 0.990655i | \(-0.456449\pi\) |
−0.951920 | + | 0.306345i | \(0.900894\pi\) | |||||||
\(674\) | 54.5843 | 2.10251 | ||||||||
\(675\) | 19.4441 | + | 8.66074i | 0.748405 | + | 0.333352i | ||||
\(676\) | −14.2254 | −0.547131 | ||||||||
\(677\) | −32.2031 | − | 27.0216i | −1.23767 | − | 1.03853i | −0.997703 | − | 0.0677442i | \(-0.978420\pi\) |
−0.239964 | − | 0.970782i | \(-0.577136\pi\) | |||||||
\(678\) | 14.5153 | − | 1.35429i | 0.557456 | − | 0.0520113i | ||||
\(679\) | 0.737924 | + | 4.18498i | 0.0283189 | + | 0.160605i | ||||
\(680\) | 9.68792 | + | 3.52612i | 0.371515 | + | 0.135220i | ||||
\(681\) | 2.70237 | − | 33.0841i | 0.103555 | − | 1.26778i | ||||
\(682\) | −9.49322 | + | 53.8387i | −0.363514 | + | 2.06159i | ||||
\(683\) | 7.08640 | − | 12.2740i | 0.271154 | − | 0.469652i | −0.698004 | − | 0.716094i | \(-0.745928\pi\) |
0.969157 | + | 0.246442i | \(0.0792616\pi\) | |||||||
\(684\) | 3.01478 | + | 7.99498i | 0.115273 | + | 0.305696i | ||||
\(685\) | −2.63939 | − | 4.57156i | −0.100846 | − | 0.174670i | ||||
\(686\) | 1.66007 | − | 0.604216i | 0.0633818 | − | 0.0230691i | ||||
\(687\) | 1.81587 | + | 6.62392i | 0.0692797 | + | 0.252718i | ||||
\(688\) | 19.4467 | − | 16.3177i | 0.741398 | − | 0.622107i | ||||
\(689\) | 2.12166 | − | 1.78028i | 0.0808288 | − | 0.0678234i | ||||
\(690\) | 3.05462 | + | 11.1426i | 0.116287 | + | 0.424192i | ||||
\(691\) | 31.8204 | − | 11.5817i | 1.21051 | − | 0.440588i | 0.343627 | − | 0.939106i | \(-0.388344\pi\) |
0.866879 | + | 0.498518i | \(0.166122\pi\) | |||||||
\(692\) | −7.88721 | − | 13.6610i | −0.299827 | − | 0.519315i | ||||
\(693\) | −10.9816 | + | 13.3981i | −0.417156 | + | 0.508952i | ||||
\(694\) | 4.82888 | − | 8.36386i | 0.183302 | − | 0.317488i | ||||
\(695\) | 0.717037 | − | 4.06652i | 0.0271988 | − | 0.154252i | ||||
\(696\) | −1.63124 | + | 19.9706i | −0.0618319 | + | 0.756984i | ||||
\(697\) | 49.2492 | + | 17.9253i | 1.86545 | + | 0.678967i | ||||
\(698\) | 8.00743 | + | 45.4124i | 0.303086 | + | 1.71888i | ||||
\(699\) | −32.9669 | + | 3.07586i | −1.24692 | + | 0.116340i | ||||
\(700\) | 3.51747 | + | 2.95151i | 0.132948 | + | 0.111557i | ||||
\(701\) | −44.4691 | −1.67957 | −0.839787 | − | 0.542916i | \(-0.817320\pi\) | ||||
−0.839787 | + | 0.542916i | \(0.817320\pi\) | |||||||
\(702\) | −4.90549 | + | 1.40579i | −0.185146 | + | 0.0530582i | ||||
\(703\) | 14.6964 | 0.554286 | ||||||||
\(704\) | −0.446875 | − | 0.374973i | −0.0168422 | − | 0.0141323i | ||||
\(705\) | 9.48088 | + | 13.3753i | 0.357071 | + | 0.503743i | ||||
\(706\) | −6.87696 | − | 39.0012i | −0.258818 | − | 1.46783i | ||||
\(707\) | −13.4701 | − | 4.90273i | −0.506596 | − | 0.184386i | ||||
\(708\) | 8.23057 | + | 5.69267i | 0.309324 | + | 0.213944i | ||||
\(709\) | 4.10483 | − | 23.2797i | 0.154160 | − | 0.874286i | −0.805389 | − | 0.592746i | \(-0.798044\pi\) |
0.959550 | − | 0.281540i | \(-0.0908451\pi\) | |||||||
\(710\) | −1.26489 | + | 2.19086i | −0.0474705 | + | 0.0822214i | ||||
\(711\) | −0.118049 | − | 10.2372i | −0.00442718 | − | 0.383925i | ||||
\(712\) | −3.64166 | − | 6.30754i | −0.136477 | − | 0.236385i | ||||
\(713\) | 20.0040 | − | 7.28085i | 0.749155 | − | 0.272670i | ||||
\(714\) | −15.0231 | + | 15.1973i | −0.562225 | + | 0.568746i | ||||
\(715\) | −2.33747 | + | 1.96137i | −0.0874164 | + | 0.0733510i | ||||
\(716\) | 14.2584 | − | 11.9642i | 0.532860 | − | 0.447122i | ||||
\(717\) | 10.9820 | + | 2.87487i | 0.410131 | + | 0.107364i | ||||
\(718\) | −15.6190 | + | 5.68485i | −0.582896 | + | 0.212157i | ||||
\(719\) | 6.37091 | + | 11.0347i | 0.237595 | + | 0.411527i | 0.960024 | − | 0.279919i | \(-0.0903076\pi\) |
−0.722429 | + | 0.691445i | \(0.756974\pi\) | |||||||
\(720\) | −9.26327 | − | 10.7845i | −0.345222 | − | 0.401915i | ||||
\(721\) | 0.351531 | − | 0.608870i | 0.0130917 | − | 0.0226755i | ||||
\(722\) | −3.84797 | + | 21.8229i | −0.143207 | + | 0.812166i | ||||
\(723\) | −10.9165 | + | 5.16727i | −0.405989 | + | 0.192173i | ||||
\(724\) | −13.9711 | − | 5.08508i | −0.519234 | − | 0.188986i | ||||
\(725\) | 5.29879 | + | 30.0509i | 0.196792 | + | 1.11606i | ||||
\(726\) | 28.5377 | − | 62.1320i | 1.05913 | − | 2.30593i | ||||
\(727\) | −12.8250 | − | 10.7615i | −0.475654 | − | 0.399121i | 0.373198 | − | 0.927752i | \(-0.378261\pi\) |
−0.848852 | + | 0.528631i | \(0.822706\pi\) | |||||||
\(728\) | 0.863323 | 0.0319969 | ||||||||
\(729\) | 22.9018 | − | 14.3006i | 0.848214 | − | 0.529653i | ||||
\(730\) | 22.9382 | 0.848982 | ||||||||
\(731\) | 27.2420 | + | 22.8588i | 1.00758 | + | 0.845462i | ||||
\(732\) | 0.945312 | − | 2.05813i | 0.0349398 | − | 0.0760705i | ||||
\(733\) | 5.64081 | + | 31.9906i | 0.208348 | + | 1.18160i | 0.892084 | + | 0.451870i | \(0.149243\pi\) |
−0.683736 | + | 0.729730i | \(0.739646\pi\) | |||||||
\(734\) | −56.4171 | − | 20.5341i | −2.08239 | − | 0.757929i | ||||
\(735\) | −1.48812 | + | 0.704396i | −0.0548902 | + | 0.0259820i | ||||
\(736\) | −3.93259 | + | 22.3028i | −0.144957 | + | 0.822094i | ||||
\(737\) | 19.4078 | − | 33.6152i | 0.714894 | − | 1.23823i | ||||
\(738\) | −25.9149 | − | 30.1707i | −0.953941 | − | 1.11060i | ||||
\(739\) | −7.97339 | − | 13.8103i | −0.293306 | − | 0.508021i | 0.681283 | − | 0.732020i | \(-0.261422\pi\) |
−0.974589 | + | 0.223999i | \(0.928089\pi\) | |||||||
\(740\) | 5.79095 | − | 2.10773i | 0.212879 | − | 0.0774818i | ||||
\(741\) | 2.36680 | + | 0.619580i | 0.0869467 | + | 0.0227608i | ||||
\(742\) | −6.74245 | + | 5.65759i | −0.247523 | + | 0.207697i | ||||
\(743\) | −17.8955 | + | 15.0161i | −0.656520 | + | 0.550886i | −0.909042 | − | 0.416705i | \(-0.863185\pi\) |
0.252521 | + | 0.967591i | \(0.418740\pi\) | |||||||
\(744\) | −10.1342 | + | 10.2517i | −0.371538 | + | 0.375847i | ||||
\(745\) | −20.9347 | + | 7.61960i | −0.766987 | + | 0.279160i | ||||
\(746\) | −29.8282 | − | 51.6639i | −1.09209 | − | 1.89155i | ||||
\(747\) | −0.118328 | − | 10.2614i | −0.00432941 | − | 0.375446i | ||||
\(748\) | 22.6020 | − | 39.1478i | 0.826411 | − | 1.43139i | ||||
\(749\) | 1.72039 | − | 9.75679i | 0.0628615 | − | 0.356505i | ||||
\(750\) | −21.7599 | − | 15.0503i | −0.794561 | − | 0.549558i | ||||
\(751\) | −45.0101 | − | 16.3823i | −1.64244 | − | 0.597800i | −0.654979 | − | 0.755647i | \(-0.727322\pi\) |
−0.987464 | + | 0.157847i | \(0.949545\pi\) | |||||||
\(752\) | 8.62051 | + | 48.8893i | 0.314358 | + | 1.78281i | ||||
\(753\) | 22.9466 | + | 32.3723i | 0.836221 | + | 1.17971i | ||||
\(754\) | −5.60393 | − | 4.70226i | −0.204083 | − | 0.171246i | ||||
\(755\) | −5.87368 | −0.213765 | ||||||||
\(756\) | 5.59903 | − | 1.60455i | 0.203635 | − | 0.0583568i | ||||
\(757\) | 12.5044 | 0.454481 | 0.227241 | − | 0.973839i | \(-0.427030\pi\) | ||||
0.227241 | + | 0.973839i | \(0.427030\pi\) | |||||||
\(758\) | 17.7812 | + | 14.9202i | 0.645844 | + | 0.541927i | ||||
\(759\) | −39.5582 | + | 3.69083i | −1.43587 | + | 0.133969i | ||||
\(760\) | 0.651357 | + | 3.69403i | 0.0236272 | + | 0.133997i | ||||
\(761\) | 30.7643 | + | 11.1973i | 1.11520 | + | 0.405901i | 0.832900 | − | 0.553424i | \(-0.186679\pi\) |
0.282305 | + | 0.959325i | \(0.408901\pi\) | |||||||
\(762\) | 2.70982 | − | 33.1753i | 0.0981664 | − | 1.20181i | ||||
\(763\) | −1.58704 | + | 9.00054i | −0.0574546 | + | 0.325841i | ||||
\(764\) | 6.40708 | − | 11.0974i | 0.231800 | − | 0.401490i | ||||
\(765\) | 12.6247 | − | 15.4028i | 0.456446 | − | 0.556888i | ||||
\(766\) | −9.70221 | − | 16.8047i | −0.350555 | − | 0.607179i | ||||
\(767\) | 2.69263 | − | 0.980037i | 0.0972252 | − | 0.0353871i | ||||
\(768\) | −9.17241 | − | 33.4591i | −0.330981 | − | 1.20735i | ||||
\(769\) | −28.6534 | + | 24.0431i | −1.03327 | + | 0.867016i | −0.991236 | − | 0.132100i | \(-0.957828\pi\) |
−0.0420333 | + | 0.999116i | \(0.513384\pi\) | |||||||
\(770\) | 7.42827 | − | 6.23306i | 0.267696 | − | 0.224624i | ||||
\(771\) | −4.88787 | − | 17.8299i | −0.176032 | − | 0.642129i | ||||
\(772\) | −25.0708 | + | 9.12504i | −0.902320 | + | 0.328417i | ||||
\(773\) | −5.11506 | − | 8.85955i | −0.183976 | − | 0.318656i | 0.759255 | − | 0.650793i | \(-0.225564\pi\) |
−0.943231 | + | 0.332137i | \(0.892230\pi\) | |||||||
\(774\) | −9.52191 | − | 25.2514i | −0.342258 | − | 0.907643i | ||||
\(775\) | −10.9765 | + | 19.0119i | −0.394288 | + | 0.682927i | ||||
\(776\) | 1.14601 | − | 6.49932i | 0.0411392 | − | 0.233312i | ||||
\(777\) | 0.815565 | − | 9.98464i | 0.0292582 | − | 0.358197i | ||||
\(778\) | −5.23954 | − | 1.90704i | −0.187847 | − | 0.0683706i | ||||
\(779\) | 3.31122 | + | 18.7789i | 0.118637 | + | 0.672823i | ||||
\(780\) | 1.02147 | − | 0.0953043i | 0.0365745 | − | 0.00341244i | ||||
\(781\) | −6.66398 | − | 5.59174i | −0.238456 | − | 0.200088i | ||||
\(782\) | −49.0089 | −1.75256 | ||||||||
\(783\) | 35.3575 | + | 15.7488i | 1.26357 | + | 0.562817i | ||||
\(784\) | −4.98538 | −0.178049 | ||||||||
\(785\) | 13.8301 | + | 11.6049i | 0.493619 | + | 0.414196i | ||||
\(786\) | −20.3813 | − | 28.7532i | −0.726976 | − | 1.02559i | ||||
\(787\) | −5.57775 | − | 31.6330i | −0.198825 | − | 1.12759i | −0.906865 | − | 0.421421i | \(-0.861531\pi\) |
0.708040 | − | 0.706172i | \(-0.249580\pi\) | |||||||
\(788\) | 10.8394 | + | 3.94520i | 0.386136 | + | 0.140542i | ||||
\(789\) | 15.8457 | + | 10.9597i | 0.564122 | + | 0.390175i | ||||
\(790\) | −0.995125 | + | 5.64363i | −0.0354050 | + | 0.200791i | ||||
\(791\) | −2.38219 | + | 4.12608i | −0.0847010 | + | 0.146706i | ||||
\(792\) | 23.1426 | − | 13.7196i | 0.822336 | − | 0.487504i | ||||
\(793\) | −0.324247 | − | 0.561612i | −0.0115143 | − | 0.0199434i | ||||
\(794\) | −36.6312 | + | 13.3327i | −1.29999 | + | 0.473159i | ||||
\(795\) | 5.76672 | − | 5.83360i | 0.204524 | − | 0.206897i | ||||
\(796\) | 4.14325 | − | 3.47660i | 0.146853 | − | 0.123225i | ||||
\(797\) | −34.7917 | + | 29.1937i | −1.23239 | + | 1.03410i | −0.234306 | + | 0.972163i | \(0.575282\pi\) |
−0.998080 | + | 0.0619325i | \(0.980274\pi\) | |||||||
\(798\) | −7.52149 | − | 1.96897i | −0.266258 | − | 0.0697008i | ||||
\(799\) | −65.3495 | + | 23.7853i | −2.31190 | + | 0.841462i | ||||
\(800\) | −11.6773 | − | 20.2257i | −0.412855 | − | 0.715086i | ||||
\(801\) | −13.8266 | + | 2.60273i | −0.488538 | + | 0.0919629i | ||||
\(802\) | −10.9867 | + | 19.0295i | −0.387953 | + | 0.671954i | ||||
\(803\) | −13.6970 | + | 77.6797i | −0.483358 | + | 2.74126i | ||||
\(804\) | −11.7956 | + | 5.58340i | −0.415999 | + | 0.196911i | ||||
\(805\) | −3.54819 | − | 1.29144i | −0.125057 | − | 0.0455171i | ||||
\(806\) | −0.913896 | − | 5.18296i | −0.0321906 | − | 0.182562i | ||||
\(807\) | 6.32300 | − | 13.7664i | 0.222580 | − | 0.484599i | ||||
\(808\) | 17.0535 | + | 14.3096i | 0.599942 | + | 0.503411i | ||||
\(809\) | −37.0790 | −1.30363 | −0.651814 | − | 0.758379i | \(-0.725992\pi\) | ||||
−0.651814 | + | 0.758379i | \(0.725992\pi\) | |||||||
\(810\) | −14.0789 | + | 5.49519i | −0.494684 | + | 0.193081i | ||||
\(811\) | 52.5784 | 1.84628 | 0.923139 | − | 0.384467i | \(-0.125615\pi\) | ||||
0.923139 | + | 0.384467i | \(0.125615\pi\) | |||||||
\(812\) | 6.39622 | + | 5.36707i | 0.224463 | + | 0.188347i | ||||
\(813\) | −2.74304 | + | 5.97213i | −0.0962027 | + | 0.209452i | ||||
\(814\) | 10.2457 | + | 58.1062i | 0.359111 | + | 2.03662i | ||||
\(815\) | −9.83137 | − | 3.57833i | −0.344378 | − | 0.125343i | ||||
\(816\) | 54.5067 | − | 25.8005i | 1.90812 | − | 0.903199i | ||||
\(817\) | −2.24678 | + | 12.7421i | −0.0786047 | + | 0.445790i | ||||
\(818\) | −25.9059 | + | 44.8704i | −0.905780 | + | 1.56886i | ||||
\(819\) | 0.552281 | − | 1.57360i | 0.0192983 | − | 0.0549862i | ||||
\(820\) | 3.99797 | + | 6.92469i | 0.139615 | + | 0.241821i | ||||
\(821\) | −14.7164 | + | 5.35631i | −0.513604 | + | 0.186937i | −0.585803 | − | 0.810454i | \(-0.699221\pi\) |
0.0721985 | + | 0.997390i | \(0.476998\pi\) | |||||||
\(822\) | −16.4386 | − | 4.30328i | −0.573361 | − | 0.150094i | ||||
\(823\) | 2.23215 | − | 1.87299i | 0.0778078 | − | 0.0652885i | −0.603054 | − | 0.797700i | \(-0.706050\pi\) |
0.680862 | + | 0.732412i | \(0.261605\pi\) | |||||||
\(824\) | −0.836417 | + | 0.701837i | −0.0291380 | + | 0.0244496i | ||||
\(825\) | 28.8037 | − | 29.1378i | 1.00282 | − | 1.01445i | ||||
\(826\) | −8.55694 | + | 3.11447i | −0.297734 | + | 0.108366i | ||||
\(827\) | −21.7586 | − | 37.6871i | −0.756622 | − | 1.31051i | −0.944564 | − | 0.328328i | \(-0.893515\pi\) |
0.187942 | − | 0.982180i | \(-0.439818\pi\) | |||||||
\(828\) | 11.6444 | + | 6.54505i | 0.404671 | + | 0.227456i | ||||
\(829\) | 26.2962 | − | 45.5463i | 0.913303 | − | 1.58189i | 0.103937 | − | 0.994584i | \(-0.466856\pi\) |
0.809367 | − | 0.587304i | \(-0.199811\pi\) | |||||||
\(830\) | −0.997482 | + | 5.65700i | −0.0346231 | + | 0.196357i | ||||
\(831\) | −42.9620 | − | 29.7146i | −1.49033 | − | 1.03079i | ||||
\(832\) | 0.0527717 | + | 0.0192073i | 0.00182953 | + | 0.000665895i | ||||
\(833\) | −1.21272 | − | 6.87770i | −0.0420184 | − | 0.238298i | ||||
\(834\) | −7.68670 | − | 10.8441i | −0.266169 | − | 0.375502i | ||||
\(835\) | 9.00821 | + | 7.55879i | 0.311742 | + | 0.261583i | ||||
\(836\) | 16.4468 | 0.568824 | ||||||||
\(837\) | 12.2031 | + | 25.0301i | 0.421802 | + | 0.865168i | ||||
\(838\) | 6.30957 | 0.217960 | ||||||||
\(839\) | −13.1866 | − | 11.0649i | −0.455251 | − | 0.382001i | 0.386129 | − | 0.922445i | \(-0.373812\pi\) |
−0.841380 | + | 0.540444i | \(0.818256\pi\) | |||||||
\(840\) | 2.54584 | − | 0.237530i | 0.0878399 | − | 0.00819557i | ||||
\(841\) | 4.59961 | + | 26.0857i | 0.158607 | + | 0.899506i | ||||
\(842\) | 29.2371 | + | 10.6414i | 1.00758 | + | 0.366728i | ||||
\(843\) | 1.59420 | − | 19.5172i | 0.0549073 | − | 0.672208i | ||||
\(844\) | 1.54696 | − | 8.77323i | 0.0532485 | − | 0.301987i | ||||
\(845\) | −6.03175 | + | 10.4473i | −0.207498 | + | 0.359398i | ||||
\(846\) | 52.0752 | + | 8.56435i | 1.79038 | + | 0.294448i | ||||
\(847\) | 11.1725 | + | 19.3513i | 0.383891 | + | 0.664918i | ||||
\(848\) | 23.3404 | − | 8.49520i | 0.801511 | − | 0.291726i | ||||
\(849\) | 10.6700 | + | 38.9220i | 0.366194 | + | 1.33580i | ||||
\(850\) | 38.7162 | − | 32.4868i | 1.32796 | − | 1.11429i | ||||
\(851\) | 17.6000 | − | 14.7681i | 0.603320 | − | 0.506245i | ||||
\(852\) | 0.773268 | + | 2.82072i | 0.0264917 | + | 0.0966364i | ||||
\(853\) | 18.3990 | − | 6.69668i | 0.629969 | − | 0.229290i | −0.00724891 | − | 0.999974i | \(-0.502307\pi\) |
0.637218 | + | 0.770684i | \(0.280085\pi\) | |||||||
\(854\) | 1.03043 | + | 1.78475i | 0.0352605 | + | 0.0610730i | ||||
\(855\) | 7.14990 | + | 1.17588i | 0.244522 | + | 0.0402143i | ||||
\(856\) | −7.69308 | + | 13.3248i | −0.262944 | + | 0.455433i | ||||
\(857\) | 2.11818 | − | 12.0128i | 0.0723556 | − | 0.410349i | −0.927020 | − | 0.375012i | \(-0.877639\pi\) |
0.999375 | − | 0.0353367i | \(-0.0112504\pi\) | |||||||
\(858\) | −0.799644 | + | 9.78973i | −0.0272994 | + | 0.334216i | ||||
\(859\) | −34.2985 | − | 12.4836i | −1.17025 | − | 0.425936i | −0.317502 | − | 0.948258i | \(-0.602844\pi\) |
−0.852749 | + | 0.522321i | \(0.825066\pi\) | |||||||
\(860\) | 0.942132 | + | 5.34310i | 0.0321264 | + | 0.182198i | ||||
\(861\) | 12.9420 | − | 1.20750i | 0.441061 | − | 0.0411515i | ||||
\(862\) | 34.2223 | + | 28.7159i | 1.16562 | + | 0.978068i | ||||
\(863\) | 34.8805 | 1.18734 | 0.593672 | − | 0.804707i | \(-0.297678\pi\) | ||||
0.593672 | + | 0.804707i | \(0.297678\pi\) | |||||||
\(864\) | −29.5518 | − | 2.07113i | −1.00537 | − | 0.0704611i | ||||
\(865\) | −13.3771 | −0.454835 | ||||||||
\(866\) | 5.37588 | + | 4.51090i | 0.182680 | + | 0.153287i | ||||
\(867\) | 31.8252 | + | 44.8979i | 1.08084 | + | 1.52481i | ||||
\(868\) | 1.04310 | + | 5.91574i | 0.0354053 | + | 0.200793i | ||||
\(869\) | −18.5178 | − | 6.73993i | −0.628174 | − | 0.228636i | ||||
\(870\) | −17.8191 | − | 12.3246i | −0.604125 | − | 0.417843i | ||||
\(871\) | −0.648872 | + | 3.67994i | −0.0219862 | + | 0.124690i | ||||
\(872\) | 7.09679 | − | 12.2920i | 0.240328 | − | 0.416260i | ||||
\(873\) | −11.1134 | − | 6.24658i | −0.376131 | − | 0.211415i | ||||
\(874\) | −8.91557 | − | 15.4422i | −0.301574 | − | 0.522341i | ||||
\(875\) | 8.12523 | − | 2.95734i | 0.274683 | − | 0.0999764i | ||||
\(876\) | 18.6440 | − | 18.8602i | 0.629921 | − | 0.637227i | ||||
\(877\) | −15.7626 | + | 13.2264i | −0.532265 | + | 0.446624i | −0.868883 | − | 0.495018i | \(-0.835162\pi\) |
0.336618 | + | 0.941641i | \(0.390717\pi\) | |||||||
\(878\) | 14.4604 | − | 12.1337i | 0.488016 | − | 0.409494i | ||||
\(879\) | −27.2799 | − | 7.14130i | −0.920127 | − | 0.240870i | ||||
\(880\) | −25.7145 | + | 9.35930i | −0.866834 | + | 0.315502i | ||||
\(881\) | 17.9106 | + | 31.0220i | 0.603422 | + | 1.04516i | 0.992299 | + | 0.123868i | \(0.0395299\pi\) |
−0.388877 | + | 0.921290i | \(0.627137\pi\) | |||||||
\(882\) | −1.75510 | + | 5.00078i | −0.0590974 | + | 0.168385i | ||||
\(883\) | 20.0222 | − | 34.6794i | 0.673799 | − | 1.16705i | −0.303019 | − | 0.952984i | \(-0.597995\pi\) |
0.976818 | − | 0.214070i | \(-0.0686720\pi\) | |||||||
\(884\) | −0.755667 | + | 4.28560i | −0.0254158 | + | 0.144140i | ||||
\(885\) | 7.67062 | − | 3.63085i | 0.257845 | − | 0.122050i | ||||
\(886\) | 7.95595 | + | 2.89573i | 0.267285 | + | 0.0972839i | ||||
\(887\) | 7.96032 | + | 45.1452i | 0.267281 | + | 1.51583i | 0.762459 | + | 0.647037i | \(0.223992\pi\) |
−0.495177 | + | 0.868792i | \(0.664897\pi\) | |||||||
\(888\) | −6.49365 | + | 14.1379i | −0.217913 | + | 0.474438i | ||||
\(889\) | 8.33319 | + | 6.99237i | 0.279486 | + | 0.234517i | ||||
\(890\) | 7.87541 | 0.263984 | ||||||||
\(891\) | −10.2024 | − | 50.9593i | −0.341794 | − | 1.70720i | ||||
\(892\) | −15.7502 | −0.527357 | ||||||||
\(893\) | −19.3827 | − | 16.2640i | −0.648617 | − | 0.544255i | ||||
\(894\) | −29.9324 | + | 65.1685i | −1.00109 | + | 2.17956i | ||||
\(895\) | −2.74090 | − | 15.5444i | −0.0916183 | − | 0.519593i | ||||
\(896\) | 10.5470 | + | 3.83881i | 0.352352 | + | 0.128246i | ||||
\(897\) | 3.45701 | − | 1.63636i | 0.115426 | − | 0.0546366i | ||||
\(898\) | 3.04141 | − | 17.2487i | 0.101493 | − | 0.575597i | ||||
\(899\) | −19.9599 | + | 34.5715i | −0.665699 | + | 1.15302i | ||||
\(900\) | −13.5374 | + | 2.54830i | −0.451248 | + | 0.0849434i | ||||
\(901\) | 17.3974 | + | 30.1332i | 0.579593 | + | 1.00388i | ||||
\(902\) | −71.9388 | + | 26.1836i | −2.39530 | + | 0.871818i | ||||
\(903\) | 8.53220 | + | 2.23355i | 0.283934 | + | 0.0743280i | ||||
\(904\) | 5.66807 | − | 4.75608i | 0.188517 | − | 0.158185i | ||||
\(905\) | −9.65847 | + | 8.10442i | −0.321058 | + | 0.269400i | ||||
\(906\) | −13.2923 | + | 13.4464i | −0.441606 | + | 0.446728i | ||||
\(907\) | 13.8963 | − | 5.05785i | 0.461420 | − | 0.167943i | −0.100842 | − | 0.994902i | \(-0.532154\pi\) |
0.562262 | + | 0.826959i | \(0.309931\pi\) | |||||||
\(908\) | 10.7409 | + | 18.6038i | 0.356450 | + | 0.617390i | ||||
\(909\) | 36.9920 | − | 21.9299i | 1.22695 | − | 0.727369i | ||||
\(910\) | −0.466753 | + | 0.808440i | −0.0154727 | + | 0.0267995i | ||||
\(911\) | 1.58867 | − | 9.00977i | 0.0526349 | − | 0.298507i | −0.947114 | − | 0.320896i | \(-0.896016\pi\) |
0.999749 | + | 0.0223887i | \(0.00712715\pi\) | |||||||
\(912\) | 18.0452 | + | 12.4810i | 0.597537 | + | 0.413286i | ||||
\(913\) | −18.5617 | − | 6.75589i | −0.614301 | − | 0.223587i | ||||
\(914\) | 12.0397 | + | 68.2807i | 0.398239 | + | 2.25853i | ||||
\(915\) | −1.11069 | − | 1.56692i | −0.0367181 | − | 0.0518007i | ||||
\(916\) | −3.40497 | − | 2.85711i | −0.112503 | − | 0.0944015i | ||||
\(917\) | 11.5182 | 0.380364 | ||||||||
\(918\) | −6.69113 | − | 63.7582i | −0.220840 | − | 2.10433i | ||||
\(919\) | 30.6232 | 1.01017 | 0.505084 | − | 0.863070i | \(-0.331462\pi\) | ||||
0.505084 | + | 0.863070i | \(0.331462\pi\) | |||||||
\(920\) | 4.49210 | + | 3.76932i | 0.148100 | + | 0.124271i | ||||
\(921\) | −17.0103 | + | 1.58708i | −0.560507 | + | 0.0522960i | ||||
\(922\) | −0.400964 | − | 2.27398i | −0.0132050 | − | 0.0748895i | ||||
\(923\) | 0.786953 | + | 0.286428i | 0.0259029 | + | 0.00942788i | ||||
\(924\) | 0.912700 | − | 11.1738i | 0.0300256 | − | 0.367592i | ||||
\(925\) | −4.11427 | + | 23.3332i | −0.135276 | + | 0.767190i | ||||
\(926\) | −20.3686 | + | 35.2794i | −0.669353 | + | 1.15935i | ||||
\(927\) | 0.744190 | + | 1.97354i | 0.0244424 | + | 0.0648195i | ||||
\(928\) | −21.2342 | − | 36.7787i | −0.697047 | − | 1.20732i | ||||
\(929\) | 25.1310 | − | 9.14692i | 0.824520 | − | 0.300101i | 0.104912 | − | 0.994481i | \(-0.466544\pi\) |
0.719608 | + | 0.694381i | \(0.244322\pi\) | |||||||
\(930\) | −4.12099 | − | 15.0325i | −0.135133 | − | 0.492936i | ||||
\(931\) | 1.94648 | − | 1.63329i | 0.0637933 | − | 0.0535289i | ||||
\(932\) | 16.4144 | − | 13.7733i | 0.537670 | − | 0.451159i | ||||
\(933\) | −0.692570 | − | 2.52635i | −0.0226737 | − | 0.0827091i | ||||
\(934\) | 64.6157 | − | 23.5182i | 2.11429 | − | 0.769538i | ||||
\(935\) | −19.1670 | − | 33.1983i | −0.626829 | − | 1.08570i | ||||
\(936\) | −1.64181 | + | 2.00310i | −0.0536643 | + | 0.0654732i | ||||
\(937\) | 27.0495 | − | 46.8512i | 0.883670 | − | 1.53056i | 0.0364396 | − | 0.999336i | \(-0.488398\pi\) |
0.847230 | − | 0.531226i | \(-0.178268\pi\) | |||||||
\(938\) | 2.06206 | − | 11.6945i | 0.0673286 | − | 0.381840i | ||||
\(939\) | 0.425619 | − | 5.21068i | 0.0138895 | − | 0.170044i | ||||
\(940\) | −9.97007 | − | 3.62881i | −0.325188 | − | 0.118359i | ||||
\(941\) | 7.88297 | + | 44.7065i | 0.256977 | + | 1.45739i | 0.790945 | + | 0.611887i | \(0.209589\pi\) |
−0.533968 | + | 0.845505i | \(0.679300\pi\) | |||||||
\(942\) | 57.8647 | − | 5.39884i | 1.88533 | − | 0.175904i | ||||
\(943\) | 22.8359 | + | 19.1616i | 0.743640 | + | 0.623988i | ||||
\(944\) | 25.6975 | 0.836382 | ||||||||
\(945\) | 1.19566 | − | 4.79234i | 0.0388949 | − | 0.155895i | ||||
\(946\) | −51.9456 | −1.68890 | ||||||||
\(947\) | −7.36875 | − | 6.18312i | −0.239452 | − | 0.200924i | 0.515162 | − | 0.857093i | \(-0.327732\pi\) |
−0.754615 | + | 0.656168i | \(0.772176\pi\) | |||||||
\(948\) | 3.83146 | + | 5.40530i | 0.124440 | + | 0.175556i | ||||
\(949\) | −1.31859 | − | 7.47810i | −0.0428033 | − | 0.242749i | ||||
\(950\) | 17.2794 | + | 6.28919i | 0.560618 | + | 0.204048i | ||||
\(951\) | 36.5088 | + | 25.2513i | 1.18388 | + | 0.818829i | ||||
\(952\) | −1.88338 | + | 10.6812i | −0.0610406 | + | 0.346178i | ||||
\(953\) | 21.9244 | − | 37.9742i | 0.710202 | − | 1.23011i | −0.254579 | − | 0.967052i | \(-0.581937\pi\) |
0.964781 | − | 0.263054i | \(-0.0847298\pi\) | |||||||
\(954\) | −0.304465 | − | 26.4032i | −0.00985742 | − | 0.854835i | ||||
\(955\) | −5.43336 | − | 9.41086i | −0.175819 | − | 0.304528i | ||||
\(956\) | −6.90352 | + | 2.51268i | −0.223276 | + | 0.0812658i | ||||
\(957\) | 52.3772 | − | 52.9846i | 1.69311 | − | 1.71275i | ||||
\(958\) | −46.3657 | + | 38.9055i | −1.49801 | + | 1.25698i | ||||
\(959\) | 4.25412 | − | 3.56963i | 0.137373 | − | 0.115269i | ||||
\(960\) | 0.160903 | + | 0.0421209i | 0.00519311 | + | 0.00135945i | ||||
\(961\) | 2.14304 | − | 0.780004i | 0.0691305 | − | 0.0251614i | ||||
\(962\) | −2.84004 | − | 4.91909i | −0.0915666 | − | 0.158598i | ||||
\(963\) | 19.3661 | + | 22.5465i | 0.624065 | + | 0.726551i | ||||
\(964\) | 3.90808 | − | 6.76898i | 0.125871 | − | 0.218014i | ||||
\(965\) | −3.92882 | + | 22.2814i | −0.126473 | + | 0.717264i | ||||
\(966\) | −10.9861 | + | 5.20022i | −0.353472 | + | 0.167314i | ||||
\(967\) | −19.2726 | − | 7.01464i | −0.619764 | − | 0.225576i | 0.0130059 | − | 0.999915i | \(-0.495860\pi\) |
−0.632770 | + | 0.774340i | \(0.718082\pi\) | |||||||
\(968\) | −6.02594 | − | 34.1748i | −0.193681 | − | 1.09842i | ||||
\(969\) | −12.8288 | + | 27.9308i | −0.412121 | + | 0.897266i | ||||
\(970\) | 5.46656 | + | 4.58699i | 0.175521 | + | 0.147279i | ||||
\(971\) | −14.6694 | −0.470762 | −0.235381 | − | 0.971903i | \(-0.575634\pi\) | ||||
−0.235381 | + | 0.971903i | \(0.575634\pi\) | |||||||
\(972\) | −6.92499 | + | 16.0424i | −0.222119 | + | 0.514560i | ||||
\(973\) | 4.34403 | 0.139263 | ||||||||
\(974\) | 25.4194 | + | 21.3294i | 0.814490 | + | 0.683438i | ||||
\(975\) | −1.64628 | + | 3.58427i | −0.0527232 | + | 0.114788i | ||||
\(976\) | −1.00989 | − | 5.72739i | −0.0323259 | − | 0.183329i | ||||
\(977\) | −26.7086 | − | 9.72114i | −0.854484 | − | 0.311007i | −0.122617 | − | 0.992454i | \(-0.539129\pi\) |
−0.731867 | + | 0.681447i | \(0.761351\pi\) | |||||||
\(978\) | −30.4404 | + | 14.4088i | −0.973377 | + | 0.460744i | ||||
\(979\) | −4.70262 | + | 26.6699i | −0.150296 | + | 0.852373i | ||||
\(980\) | 0.532743 | − | 0.922739i | 0.0170179 | − | 0.0294758i | ||||
\(981\) | −17.8651 | − | 20.7989i | −0.570388 | − | 0.664058i | ||||
\(982\) | 6.99659 | + | 12.1184i | 0.223270 | + | 0.386715i | ||||
\(983\) | 26.3188 | − | 9.57924i | 0.839438 | − | 0.305530i | 0.113711 | − | 0.993514i | \(-0.463726\pi\) |
0.725726 | + | 0.687983i | \(0.241504\pi\) | |||||||
\(984\) | −19.5283 | − | 5.11210i | −0.622539 | − | 0.162968i | ||||
\(985\) | 7.49342 | − | 6.28772i | 0.238760 | − | 0.200344i | ||||
\(986\) | 70.4022 | − | 59.0745i | 2.24206 | − | 1.88131i | ||||
\(987\) | −12.1253 | + | 12.2659i | −0.385952 | + | 0.390428i | ||||
\(988\) | −1.48782 | + | 0.541522i | −0.0473338 | + | 0.0172281i | ||||
\(989\) | 10.1136 | + | 17.5173i | 0.321594 | + | 0.557017i | ||||
\(990\) | 0.335434 | + | 29.0888i | 0.0106608 | + | 0.924503i | ||||
\(991\) | −11.1685 | + | 19.3445i | −0.354780 | + | 0.614497i | −0.987080 | − | 0.160226i | \(-0.948778\pi\) |
0.632300 | + | 0.774723i | \(0.282111\pi\) | |||||||
\(992\) | 5.30547 | − | 30.0888i | 0.168449 | − | 0.955321i | ||||
\(993\) | 12.2389 | + | 8.46501i | 0.388389 | + | 0.268629i | ||||
\(994\) | −2.50087 | − | 0.910242i | −0.0793228 | − | 0.0288711i | ||||
\(995\) | −0.796462 | − | 4.51696i | −0.0252496 | − | 0.143197i | ||||
\(996\) | 3.84054 | + | 5.41810i | 0.121692 | + | 0.171679i | ||||
\(997\) | −31.7215 | − | 26.6175i | −1.00463 | − | 0.842984i | −0.0170098 | − | 0.999855i | \(-0.505415\pi\) |
−0.987619 | + | 0.156872i | \(0.949859\pi\) | |||||||
\(998\) | 39.8557 | 1.26161 | ||||||||
\(999\) | 21.6155 | + | 20.8804i | 0.683885 | + | 0.660627i |
(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 | 189.2.v.b.43.8 | yes | 54 | |
3.2 | odd | 2 | 567.2.v.a.127.2 | 54 | |||
27.5 | odd | 18 | 567.2.v.a.442.2 | 54 | |||
27.7 | even | 9 | 5103.2.a.g.1.22 | 27 | |||
27.20 | odd | 18 | 5103.2.a.h.1.6 | 27 | |||
27.22 | even | 9 | inner | 189.2.v.b.22.8 | ✓ | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.v.b.22.8 | ✓ | 54 | 27.22 | even | 9 | inner | |
189.2.v.b.43.8 | yes | 54 | 1.1 | even | 1 | trivial | |
567.2.v.a.127.2 | 54 | 3.2 | odd | 2 | |||
567.2.v.a.442.2 | 54 | 27.5 | odd | 18 | |||
5103.2.a.g.1.22 | 27 | 27.7 | even | 9 | |||
5103.2.a.h.1.6 | 27 | 27.20 | odd | 18 |