Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 412.6 | ||
Character | \(\chi\) | \(=\) | 483.412 |
Dual form | 483.2.r.a.34.6 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.85697 | − | 1.19340i | −1.31308 | − | 0.843863i | −0.318506 | − | 0.947921i | \(-0.603181\pi\) |
−0.994571 | + | 0.104058i | \(0.966817\pi\) | |||||||
\(3\) | 0.989821 | − | 0.142315i | 0.571474 | − | 0.0821655i | ||||
\(4\) | 1.19330 | + | 2.61296i | 0.596650 | + | 1.30648i | ||||
\(5\) | −1.10668 | − | 0.324952i | −0.494925 | − | 0.145323i | 0.0247390 | − | 0.999694i | \(-0.492125\pi\) |
−0.519664 | + | 0.854371i | \(0.673943\pi\) | |||||||
\(6\) | −2.00791 | − | 0.916981i | −0.819725 | − | 0.374356i | ||||
\(7\) | 1.07924 | − | 2.41562i | 0.407916 | − | 0.913020i | ||||
\(8\) | 0.274107 | − | 1.90645i | 0.0969113 | − | 0.674033i | ||||
\(9\) | 0.959493 | − | 0.281733i | 0.319831 | − | 0.0939109i | ||||
\(10\) | 1.66728 | + | 1.92415i | 0.527241 | + | 0.608469i | ||||
\(11\) | −0.0983116 | − | 0.152976i | −0.0296421 | − | 0.0461240i | 0.826116 | − | 0.563500i | \(-0.190545\pi\) |
−0.855758 | + | 0.517376i | \(0.826909\pi\) | |||||||
\(12\) | 1.55302 | + | 2.41654i | 0.448318 | + | 0.697596i | ||||
\(13\) | 3.11702 | − | 2.70091i | 0.864505 | − | 0.749098i | −0.104921 | − | 0.994481i | \(-0.533459\pi\) |
0.969426 | + | 0.245383i | \(0.0789137\pi\) | |||||||
\(14\) | −4.88694 | + | 3.19777i | −1.30609 | + | 0.854639i | ||||
\(15\) | −1.14167 | − | 0.164147i | −0.294777 | − | 0.0423825i | ||||
\(16\) | 0.978068 | − | 1.12875i | 0.244517 | − | 0.282188i | ||||
\(17\) | −2.24519 | + | 4.91628i | −0.544539 | + | 1.19237i | 0.414747 | + | 0.909937i | \(0.363870\pi\) |
−0.959286 | + | 0.282437i | \(0.908857\pi\) | |||||||
\(18\) | −2.11797 | − | 0.621892i | −0.499211 | − | 0.146581i | ||||
\(19\) | −0.214571 | − | 0.469846i | −0.0492261 | − | 0.107790i | 0.883421 | − | 0.468580i | \(-0.155234\pi\) |
−0.932647 | + | 0.360790i | \(0.882507\pi\) | |||||||
\(20\) | −0.471520 | − | 3.27949i | −0.105435 | − | 0.733317i | ||||
\(21\) | 0.724480 | − | 2.54463i | 0.158094 | − | 0.555283i | ||||
\(22\) | 0.401397i | 0.0855782i | ||||||||
\(23\) | 0.108391 | − | 4.79461i | 0.0226012 | − | 0.999745i | ||||
\(24\) | − | 1.92606i | − | 0.393155i | ||||||
\(25\) | −3.08711 | − | 1.98397i | −0.617422 | − | 0.396793i | ||||
\(26\) | −9.01148 | + | 1.29566i | −1.76730 | + | 0.254099i | ||||
\(27\) | 0.909632 | − | 0.415415i | 0.175059 | − | 0.0799467i | ||||
\(28\) | 7.59980 | − | 0.0625383i | 1.43623 | − | 0.0118186i | ||||
\(29\) | 3.47274 | − | 7.60424i | 0.644872 | − | 1.41207i | −0.251100 | − | 0.967961i | \(-0.580792\pi\) |
0.895972 | − | 0.444111i | \(-0.146480\pi\) | |||||||
\(30\) | 1.92415 | + | 1.66728i | 0.351300 | + | 0.304403i | ||||
\(31\) | 3.48170 | + | 0.500593i | 0.625333 | + | 0.0899092i | 0.447694 | − | 0.894187i | \(-0.352245\pi\) |
0.177638 | + | 0.984096i | \(0.443154\pi\) | |||||||
\(32\) | −6.85938 | + | 2.01409i | −1.21258 | + | 0.356045i | ||||
\(33\) | −0.119082 | − | 0.137428i | −0.0207295 | − | 0.0239231i | ||||
\(34\) | 10.0364 | − | 6.44997i | 1.72122 | − | 1.10616i | ||||
\(35\) | −1.97934 | + | 2.32263i | −0.334570 | + | 0.392596i | ||||
\(36\) | 1.88112 | + | 2.17093i | 0.313520 | + | 0.361822i | ||||
\(37\) | −0.139133 | − | 0.473843i | −0.0228733 | − | 0.0778992i | 0.947265 | − | 0.320450i | \(-0.103834\pi\) |
−0.970139 | + | 0.242551i | \(0.922016\pi\) | |||||||
\(38\) | −0.162263 | + | 1.12856i | −0.0263225 | + | 0.183077i | ||||
\(39\) | 2.70091 | − | 3.11702i | 0.432492 | − | 0.499122i | ||||
\(40\) | −0.922855 | + | 2.02077i | −0.145916 | + | 0.319512i | ||||
\(41\) | 2.65953 | − | 9.05751i | 0.415348 | − | 1.41455i | −0.440702 | − | 0.897653i | \(-0.645271\pi\) |
0.856050 | − | 0.516892i | \(-0.172911\pi\) | |||||||
\(42\) | −4.38210 | + | 3.86070i | −0.676173 | + | 0.595719i | ||||
\(43\) | −9.24311 | + | 1.32896i | −1.40956 | + | 0.202664i | −0.804707 | − | 0.593672i | \(-0.797678\pi\) |
−0.604854 | + | 0.796337i | \(0.706768\pi\) | |||||||
\(44\) | 0.282405 | − | 0.439431i | 0.0425742 | − | 0.0662467i | ||||
\(45\) | −1.15341 | −0.171940 | ||||||||
\(46\) | −5.92318 | + | 8.77409i | −0.873325 | + | 1.29367i | ||||
\(47\) | 3.91037i | 0.570387i | 0.958470 | + | 0.285193i | \(0.0920578\pi\) | ||||
−0.958470 | + | 0.285193i | \(0.907942\pi\) | |||||||
\(48\) | 0.807475 | − | 1.25646i | 0.116549 | − | 0.181354i | ||||
\(49\) | −4.67046 | − | 5.21409i | −0.667209 | − | 0.744870i | ||||
\(50\) | 3.36500 | + | 7.36833i | 0.475883 | + | 1.04204i | ||||
\(51\) | −1.52268 | + | 5.18576i | −0.213218 | + | 0.726152i | ||||
\(52\) | 10.7769 | + | 4.92166i | 1.49449 | + | 0.682511i | ||||
\(53\) | −5.66877 | − | 4.91202i | −0.778665 | − | 0.674717i | 0.171944 | − | 0.985107i | \(-0.444995\pi\) |
−0.950609 | + | 0.310389i | \(0.899541\pi\) | |||||||
\(54\) | −2.18492 | − | 0.314144i | −0.297330 | − | 0.0427495i | ||||
\(55\) | 0.0590902 | + | 0.201243i | 0.00796772 | + | 0.0271356i | ||||
\(56\) | −4.30944 | − | 2.71967i | −0.575874 | − | 0.363431i | ||||
\(57\) | −0.279254 | − | 0.434527i | −0.0369880 | − | 0.0575545i | ||||
\(58\) | −15.5237 | + | 9.97647i | −2.03836 | + | 1.30998i | ||||
\(59\) | 3.29542 | − | 2.85550i | 0.429028 | − | 0.371755i | −0.413413 | − | 0.910544i | \(-0.635663\pi\) |
0.842441 | + | 0.538789i | \(0.181118\pi\) | |||||||
\(60\) | −0.933441 | − | 3.17901i | −0.120507 | − | 0.410408i | ||||
\(61\) | −0.757513 | + | 5.26862i | −0.0969896 | + | 0.674578i | 0.882087 | + | 0.471086i | \(0.156138\pi\) |
−0.979077 | + | 0.203491i | \(0.934771\pi\) | |||||||
\(62\) | −5.86801 | − | 5.08466i | −0.745239 | − | 0.645753i | ||||
\(63\) | 0.354968 | − | 2.62183i | 0.0447217 | − | 0.330320i | ||||
\(64\) | 12.2752 | + | 3.60432i | 1.53440 | + | 0.450540i | ||||
\(65\) | −4.32722 | + | 1.97618i | −0.536726 | + | 0.245114i | ||||
\(66\) | 0.0571248 | + | 0.397312i | 0.00703157 | + | 0.0489057i | ||||
\(67\) | −1.30491 | + | 2.03047i | −0.159420 | + | 0.248062i | −0.911770 | − | 0.410702i | \(-0.865284\pi\) |
0.752350 | + | 0.658763i | \(0.228920\pi\) | |||||||
\(68\) | −15.5253 | −1.88271 | ||||||||
\(69\) | −0.575056 | − | 4.76123i | −0.0692286 | − | 0.573185i | ||||
\(70\) | 6.44742 | − | 1.95090i | 0.770614 | − | 0.233177i | ||||
\(71\) | −7.91478 | − | 5.08652i | −0.939311 | − | 0.603659i | −0.0211119 | − | 0.999777i | \(-0.506721\pi\) |
−0.918199 | + | 0.396118i | \(0.870357\pi\) | |||||||
\(72\) | −0.274107 | − | 1.90645i | −0.0323038 | − | 0.224678i | ||||
\(73\) | −5.88839 | + | 2.68914i | −0.689184 | + | 0.314740i | −0.729045 | − | 0.684466i | \(-0.760036\pi\) |
0.0398614 | + | 0.999205i | \(0.487308\pi\) | |||||||
\(74\) | −0.307120 | + | 1.04595i | −0.0357019 | + | 0.121590i | ||||
\(75\) | −3.33804 | − | 1.52443i | −0.385443 | − | 0.176026i | ||||
\(76\) | 0.971643 | − | 1.12134i | 0.111455 | − | 0.128626i | ||||
\(77\) | −0.475634 | + | 0.0723855i | −0.0542036 | + | 0.00824909i | ||||
\(78\) | −8.73537 | + | 2.56494i | −0.989086 | + | 0.290422i | ||||
\(79\) | 2.99150 | − | 2.59215i | 0.336570 | − | 0.291640i | −0.470134 | − | 0.882595i | \(-0.655795\pi\) |
0.806704 | + | 0.590955i | \(0.201249\pi\) | |||||||
\(80\) | −1.44920 | + | 0.931346i | −0.162026 | + | 0.104128i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −15.7479 | + | 13.6456i | −1.73907 | + | 1.50691i | ||||
\(83\) | 8.62357 | − | 2.53211i | 0.946560 | − | 0.277935i | 0.228206 | − | 0.973613i | \(-0.426714\pi\) |
0.718354 | + | 0.695678i | \(0.244896\pi\) | |||||||
\(84\) | 7.51354 | − | 1.14347i | 0.819795 | − | 0.124762i | ||||
\(85\) | 4.08227 | − | 4.71119i | 0.442785 | − | 0.511001i | ||||
\(86\) | 18.7502 | + | 8.56291i | 2.02188 | + | 0.923363i | ||||
\(87\) | 2.35520 | − | 8.02106i | 0.252504 | − | 0.859948i | ||||
\(88\) | −0.318589 | + | 0.145495i | −0.0339617 | + | 0.0155098i | ||||
\(89\) | 2.58811 | + | 18.0007i | 0.274339 | + | 1.90807i | 0.400914 | + | 0.916116i | \(0.368693\pi\) |
−0.126575 | + | 0.991957i | \(0.540398\pi\) | |||||||
\(90\) | 2.14184 | + | 1.37648i | 0.225770 | + | 0.145094i | ||||
\(91\) | −3.16036 | − | 10.4445i | −0.331296 | − | 1.09488i | ||||
\(92\) | 12.6575 | − | 5.43819i | 1.31963 | − | 0.566970i | ||||
\(93\) | 3.51751 | 0.364749 | ||||||||
\(94\) | 4.66665 | − | 7.26145i | 0.481328 | − | 0.748961i | ||||
\(95\) | 0.0847856 | + | 0.589697i | 0.00869882 | + | 0.0605016i | ||||
\(96\) | −6.50292 | + | 2.96978i | −0.663702 | + | 0.303102i | ||||
\(97\) | 6.91043 | + | 2.02908i | 0.701648 | + | 0.206022i | 0.613049 | − | 0.790045i | \(-0.289943\pi\) |
0.0885988 | + | 0.996067i | \(0.471761\pi\) | |||||||
\(98\) | 2.45041 | + | 15.2562i | 0.247528 | + | 1.54111i | ||||
\(99\) | −0.137428 | − | 0.119082i | −0.0138120 | − | 0.0119682i | ||||
\(100\) | 1.50018 | − | 10.4340i | 0.150018 | − | 1.04340i | ||||
\(101\) | −1.51269 | − | 5.15175i | −0.150518 | − | 0.512618i | 0.849366 | − | 0.527804i | \(-0.176984\pi\) |
−0.999885 | + | 0.0151854i | \(0.995166\pi\) | |||||||
\(102\) | 9.01627 | − | 7.81265i | 0.892744 | − | 0.773567i | ||||
\(103\) | 4.97030 | − | 3.19422i | 0.489738 | − | 0.314735i | −0.272362 | − | 0.962195i | \(-0.587805\pi\) |
0.762100 | + | 0.647459i | \(0.224168\pi\) | |||||||
\(104\) | −4.29476 | − | 6.68278i | −0.421136 | − | 0.655301i | ||||
\(105\) | −1.62865 | + | 2.58068i | −0.158940 | + | 0.251849i | ||||
\(106\) | 4.66472 | + | 15.8866i | 0.453078 | + | 1.54304i | ||||
\(107\) | 12.2353 | + | 1.75917i | 1.18283 | + | 0.170066i | 0.705535 | − | 0.708675i | \(-0.250707\pi\) |
0.477299 | + | 0.878741i | \(0.341616\pi\) | |||||||
\(108\) | 2.17093 | + | 1.88112i | 0.208898 | + | 0.181011i | ||||
\(109\) | 18.3624 | + | 8.38584i | 1.75880 | + | 0.803217i | 0.985608 | + | 0.169046i | \(0.0540687\pi\) |
0.773193 | + | 0.634171i | \(0.218659\pi\) | |||||||
\(110\) | 0.130435 | − | 0.444220i | 0.0124365 | − | 0.0423547i | ||||
\(111\) | −0.205151 | − | 0.449219i | −0.0194721 | − | 0.0426380i | ||||
\(112\) | −1.67106 | − | 3.58084i | −0.157900 | − | 0.338358i | ||||
\(113\) | 6.35765 | − | 9.89269i | 0.598077 | − | 0.930626i | −0.401812 | − | 0.915722i | \(-0.631619\pi\) |
0.999889 | − | 0.0149039i | \(-0.00474424\pi\) | |||||||
\(114\) | 1.14017i | 0.106786i | ||||||||
\(115\) | −1.67797 | + | 5.27090i | −0.156472 | + | 0.491514i | ||||
\(116\) | 24.0136 | 2.22961 | ||||||||
\(117\) | 2.22982 | − | 3.46967i | 0.206147 | − | 0.320771i | ||||
\(118\) | −9.52727 | + | 1.36981i | −0.877056 | + | 0.126102i | ||||
\(119\) | 9.45277 | + | 10.7294i | 0.866534 | + | 0.983562i | ||||
\(120\) | −0.625876 | + | 2.13154i | −0.0571344 | + | 0.194582i | ||||
\(121\) | 4.55583 | − | 9.97587i | 0.414166 | − | 0.906898i | ||||
\(122\) | 7.69427 | − | 8.87966i | 0.696606 | − | 0.803926i | ||||
\(123\) | 1.34344 | − | 9.34381i | 0.121134 | − | 0.842503i | ||||
\(124\) | 2.84669 | + | 9.69493i | 0.255640 | + | 0.870630i | ||||
\(125\) | 6.54837 | + | 7.55722i | 0.585704 | + | 0.675938i | ||||
\(126\) | −3.78806 | + | 4.44504i | −0.337468 | + | 0.395996i | ||||
\(127\) | −6.94984 | + | 4.46639i | −0.616699 | + | 0.396328i | −0.811364 | − | 0.584541i | \(-0.801274\pi\) |
0.194665 | + | 0.980870i | \(0.437638\pi\) | |||||||
\(128\) | −9.13011 | − | 10.5367i | −0.806995 | − | 0.931322i | ||||
\(129\) | −8.95989 | + | 2.63086i | −0.788875 | + | 0.231635i | ||||
\(130\) | 10.3939 | + | 1.49442i | 0.911605 | + | 0.131069i | ||||
\(131\) | 6.70266 | + | 5.80789i | 0.585614 | + | 0.507438i | 0.896520 | − | 0.443003i | \(-0.146087\pi\) |
−0.310906 | + | 0.950441i | \(0.600632\pi\) | |||||||
\(132\) | 0.216993 | − | 0.475149i | 0.0188868 | − | 0.0413564i | ||||
\(133\) | −1.36655 | + | 0.0112452i | −0.118495 | + | 0.000975085i | ||||
\(134\) | 4.84634 | − | 2.21325i | 0.418660 | − | 0.191196i | ||||
\(135\) | −1.14167 | + | 0.164147i | −0.0982590 | + | 0.0141275i | ||||
\(136\) | 8.75724 | + | 5.62793i | 0.750927 | + | 0.482591i | ||||
\(137\) | 3.32339i | 0.283936i | 0.989871 | + | 0.141968i | \(0.0453431\pi\) | ||||
−0.989871 | + | 0.141968i | \(0.954657\pi\) | |||||||
\(138\) | −4.61420 | + | 9.52774i | −0.392787 | + | 0.811055i | ||||
\(139\) | 10.6931i | 0.906976i | 0.891262 | + | 0.453488i | \(0.149820\pi\) | ||||
−0.891262 | + | 0.453488i | \(0.850180\pi\) | |||||||
\(140\) | −8.43091 | − | 2.40036i | −0.712542 | − | 0.202867i | ||||
\(141\) | 0.556504 | + | 3.87057i | 0.0468661 | + | 0.325961i | ||||
\(142\) | 8.62725 | + | 18.8910i | 0.723983 | + | 1.58530i | ||||
\(143\) | −0.719613 | − | 0.211297i | −0.0601771 | − | 0.0176696i | ||||
\(144\) | 0.620444 | − | 1.35858i | 0.0517036 | − | 0.113215i | ||||
\(145\) | −6.31424 | + | 7.28702i | −0.524369 | + | 0.605154i | ||||
\(146\) | 14.1438 | + | 2.03357i | 1.17055 | + | 0.168299i | ||||
\(147\) | −5.36497 | − | 4.49634i | −0.442495 | − | 0.370852i | ||||
\(148\) | 1.07211 | − | 0.928986i | 0.0881266 | − | 0.0763622i | ||||
\(149\) | −2.10182 | − | 3.27050i | −0.172188 | − | 0.267929i | 0.744425 | − | 0.667707i | \(-0.232724\pi\) |
−0.916612 | + | 0.399777i | \(0.869088\pi\) | |||||||
\(150\) | 4.37938 | + | 6.81444i | 0.357575 | + | 0.556397i | ||||
\(151\) | 13.1219 | + | 15.1434i | 1.06784 | + | 1.23235i | 0.971508 | + | 0.237006i | \(0.0761660\pi\) |
0.0963332 | + | 0.995349i | \(0.469289\pi\) | |||||||
\(152\) | −0.954555 | + | 0.280283i | −0.0774246 | + | 0.0227339i | ||||
\(153\) | −0.769168 | + | 5.34968i | −0.0621835 | + | 0.432496i | ||||
\(154\) | 0.969624 | + | 0.433206i | 0.0781345 | + | 0.0349087i | ||||
\(155\) | −3.69048 | − | 1.68539i | −0.296427 | − | 0.135373i | ||||
\(156\) | 11.3677 | + | 3.33784i | 0.910141 | + | 0.267241i | ||||
\(157\) | −1.32273 | − | 2.89637i | −0.105565 | − | 0.231156i | 0.849477 | − | 0.527626i | \(-0.176918\pi\) |
−0.955042 | + | 0.296470i | \(0.904190\pi\) | |||||||
\(158\) | −8.64861 | + | 1.24348i | −0.688046 | + | 0.0989261i | ||||
\(159\) | −6.31012 | − | 4.05527i | −0.500425 | − | 0.321604i | ||||
\(160\) | 8.24565 | 0.651876 | ||||||||
\(161\) | −11.4650 | − | 5.43638i | −0.903567 | − | 0.428447i | ||||
\(162\) | −2.20739 | −0.173429 | ||||||||
\(163\) | −14.0629 | − | 9.03769i | −1.10149 | − | 0.707886i | −0.142069 | − | 0.989857i | \(-0.545376\pi\) |
−0.959423 | + | 0.281970i | \(0.909012\pi\) | |||||||
\(164\) | 26.8406 | − | 3.85909i | 2.09590 | − | 0.301344i | ||||
\(165\) | 0.0871286 | + | 0.190785i | 0.00678295 | + | 0.0148526i | ||||
\(166\) | −19.0355 | − | 5.58934i | −1.47744 | − | 0.433817i | ||||
\(167\) | 13.0994 | + | 5.98228i | 1.01366 | + | 0.462923i | 0.851787 | − | 0.523889i | \(-0.175519\pi\) |
0.161873 | + | 0.986812i | \(0.448247\pi\) | |||||||
\(168\) | −4.65263 | − | 2.07869i | −0.358958 | − | 0.160374i | ||||
\(169\) | 0.570783 | − | 3.96988i | 0.0439064 | − | 0.305376i | ||||
\(170\) | −13.2030 | + | 3.87676i | −1.01263 | + | 0.297334i | ||||
\(171\) | −0.338251 | − | 0.390362i | −0.0258667 | − | 0.0298517i | ||||
\(172\) | −14.5023 | − | 22.5661i | −1.10579 | − | 1.72065i | ||||
\(173\) | −3.10099 | − | 4.82523i | −0.235764 | − | 0.366856i | 0.703131 | − | 0.711061i | \(-0.251785\pi\) |
−0.938895 | + | 0.344205i | \(0.888148\pi\) | |||||||
\(174\) | −13.9459 | + | 12.0842i | −1.05724 | + | 0.916099i | ||||
\(175\) | −8.12426 | + | 5.31611i | −0.614136 | + | 0.401860i | ||||
\(176\) | −0.268827 | − | 0.0386515i | −0.0202636 | − | 0.00291347i | ||||
\(177\) | 2.85550 | − | 3.29542i | 0.214633 | − | 0.247699i | ||||
\(178\) | 16.6761 | − | 36.5155i | 1.24992 | − | 2.73695i | ||||
\(179\) | −9.02379 | − | 2.64962i | −0.674469 | − | 0.198042i | −0.0734772 | − | 0.997297i | \(-0.523410\pi\) |
−0.600992 | + | 0.799255i | \(0.705228\pi\) | |||||||
\(180\) | −1.37636 | − | 3.01381i | −0.102588 | − | 0.224636i | ||||
\(181\) | −0.948189 | − | 6.59480i | −0.0704783 | − | 0.490187i | −0.994236 | − | 0.107211i | \(-0.965808\pi\) |
0.923758 | − | 0.382977i | \(-0.125101\pi\) | |||||||
\(182\) | −6.59577 | + | 23.1667i | −0.488911 | + | 1.71723i | ||||
\(183\) | 5.32280i | 0.393473i | ||||||||
\(184\) | −9.11098 | − | 1.52088i | −0.671670 | − | 0.112120i | ||||
\(185\) | 0.569606i | 0.0418783i | ||||||||
\(186\) | −6.53191 | − | 4.19780i | −0.478943 | − | 0.307798i | ||||
\(187\) | 0.972801 | − | 0.139868i | 0.0711382 | − | 0.0102281i | ||||
\(188\) | −10.2177 | + | 4.66625i | −0.745200 | + | 0.340321i | ||||
\(189\) | −0.0217710 | − | 2.64566i | −0.00158361 | − | 0.192444i | ||||
\(190\) | 0.546302 | − | 1.19623i | 0.0396329 | − | 0.0867839i | ||||
\(191\) | 6.67328 | + | 5.78243i | 0.482861 | + | 0.418402i | 0.861977 | − | 0.506948i | \(-0.169226\pi\) |
−0.379116 | + | 0.925349i | \(0.623772\pi\) | |||||||
\(192\) | 12.6632 | + | 1.82069i | 0.913887 | + | 0.131397i | ||||
\(193\) | −11.9587 | + | 3.51141i | −0.860810 | + | 0.252756i | −0.682202 | − | 0.731164i | \(-0.738977\pi\) |
−0.178608 | + | 0.983920i | \(0.557159\pi\) | |||||||
\(194\) | −10.4109 | − | 12.0149i | −0.747462 | − | 0.862618i | ||||
\(195\) | −4.00194 | + | 2.57189i | −0.286585 | + | 0.184177i | ||||
\(196\) | 8.05097 | − | 18.4257i | 0.575069 | − | 1.31612i | ||||
\(197\) | 13.4387 | + | 15.5091i | 0.957471 | + | 1.10498i | 0.994402 | + | 0.105663i | \(0.0336964\pi\) |
−0.0369310 | + | 0.999318i | \(0.511758\pi\) | |||||||
\(198\) | 0.113087 | + | 0.385138i | 0.00803672 | + | 0.0273706i | ||||
\(199\) | 0.0332438 | − | 0.231215i | 0.00235659 | − | 0.0163904i | −0.988609 | − | 0.150505i | \(-0.951910\pi\) |
0.990966 | + | 0.134115i | \(0.0428191\pi\) | |||||||
\(200\) | −4.62853 | + | 5.34161i | −0.327287 | + | 0.377709i | ||||
\(201\) | −1.00266 | + | 2.19551i | −0.0707220 | + | 0.154859i | ||||
\(202\) | −3.33909 | + | 11.3719i | −0.234938 | + | 0.800124i | ||||
\(203\) | −14.6210 | − | 16.5957i | −1.02620 | − | 1.16479i | ||||
\(204\) | −15.3672 | + | 2.20947i | −1.07592 | + | 0.154694i | ||||
\(205\) | −5.88651 | + | 9.15959i | −0.411132 | + | 0.639734i | ||||
\(206\) | −13.0417 | −0.908657 | ||||||||
\(207\) | −1.24680 | − | 4.63093i | −0.0866583 | − | 0.321872i | ||||
\(208\) | − | 6.16001i | − | 0.427120i | ||||||
\(209\) | −0.0507802 | + | 0.0790156i | −0.00351254 | + | 0.00546562i | ||||
\(210\) | 6.10415 | − | 2.84861i | 0.421226 | − | 0.196573i | ||||
\(211\) | 4.33229 | + | 9.48639i | 0.298247 | + | 0.653070i | 0.998126 | − | 0.0611914i | \(-0.0194900\pi\) |
−0.699879 | + | 0.714262i | \(0.746763\pi\) | |||||||
\(212\) | 6.07038 | − | 20.6738i | 0.416915 | − | 1.41988i | ||||
\(213\) | −8.55810 | − | 3.90836i | −0.586392 | − | 0.267796i | ||||
\(214\) | −20.6212 | − | 17.8684i | −1.40964 | − | 1.22146i | ||||
\(215\) | 10.6611 | + | 1.53283i | 0.727078 | + | 0.104538i | ||||
\(216\) | −0.542633 | − | 1.84804i | −0.0369215 | − | 0.125743i | ||||
\(217\) | 4.96685 | − | 7.87022i | 0.337172 | − | 0.534265i | ||||
\(218\) | −24.0908 | − | 37.4860i | −1.63163 | − | 2.53887i | ||||
\(219\) | −5.44575 | + | 3.49977i | −0.367990 | + | 0.236493i | ||||
\(220\) | −0.455328 | + | 0.394544i | −0.0306982 | + | 0.0266001i | ||||
\(221\) | 6.28014 | + | 21.3882i | 0.422448 | + | 1.43873i | ||||
\(222\) | −0.155139 | + | 1.07901i | −0.0104122 | + | 0.0724187i | ||||
\(223\) | −13.8261 | − | 11.9804i | −0.925863 | − | 0.802265i | 0.0546933 | − | 0.998503i | \(-0.482582\pi\) |
−0.980556 | + | 0.196238i | \(0.937127\pi\) | |||||||
\(224\) | −2.53765 | + | 18.7434i | −0.169554 | + | 1.25234i | ||||
\(225\) | −3.52101 | − | 1.03386i | −0.234734 | − | 0.0689241i | ||||
\(226\) | −23.6119 | + | 10.7832i | −1.57064 | + | 0.717288i | ||||
\(227\) | 0.574083 | + | 3.99283i | 0.0381032 | + | 0.265014i | 0.999964 | − | 0.00852707i | \(-0.00271428\pi\) |
−0.961860 | + | 0.273541i | \(0.911805\pi\) | |||||||
\(228\) | 0.802170 | − | 1.24820i | 0.0531250 | − | 0.0826641i | ||||
\(229\) | 22.0179 | 1.45498 | 0.727491 | − | 0.686117i | \(-0.240686\pi\) | ||||
0.727491 | + | 0.686117i | \(0.240686\pi\) | |||||||
\(230\) | 9.40625 | − | 7.78541i | 0.620230 | − | 0.513354i | ||||
\(231\) | −0.460491 | + | 0.139339i | −0.0302981 | + | 0.00916780i | ||||
\(232\) | −13.5452 | − | 8.70499i | −0.889288 | − | 0.571510i | ||||
\(233\) | −0.571226 | − | 3.97296i | −0.0374223 | − | 0.260277i | 0.962518 | − | 0.271218i | \(-0.0874265\pi\) |
−0.999940 | + | 0.0109407i | \(0.996517\pi\) | |||||||
\(234\) | −8.28143 | + | 3.78200i | −0.541374 | + | 0.247237i | ||||
\(235\) | 1.27068 | − | 4.32755i | 0.0828903 | − | 0.282298i | ||||
\(236\) | 11.3938 | + | 5.20336i | 0.741670 | + | 0.338710i | ||||
\(237\) | 2.59215 | − | 2.99150i | 0.168378 | − | 0.194319i | ||||
\(238\) | −4.74903 | − | 31.2051i | −0.307834 | − | 2.02273i | ||||
\(239\) | −12.2132 | + | 3.58612i | −0.790007 | + | 0.231967i | −0.651755 | − | 0.758430i | \(-0.725967\pi\) |
−0.138253 | + | 0.990397i | \(0.544149\pi\) | |||||||
\(240\) | −1.30191 | + | 1.12811i | −0.0840378 | + | 0.0728192i | ||||
\(241\) | 17.0271 | − | 10.9426i | 1.09681 | − | 0.704878i | 0.138431 | − | 0.990372i | \(-0.455794\pi\) |
0.958380 | + | 0.285495i | \(0.0921579\pi\) | |||||||
\(242\) | −20.3653 | + | 13.0880i | −1.30913 | + | 0.841326i | ||||
\(243\) | 0.755750 | − | 0.654861i | 0.0484814 | − | 0.0420093i | ||||
\(244\) | −14.6707 | + | 4.30769i | −0.939193 | + | 0.275772i | ||||
\(245\) | 3.47440 | + | 7.28803i | 0.221971 | + | 0.465615i | ||||
\(246\) | −13.6456 | + | 15.7479i | −0.870015 | + | 1.00405i | ||||
\(247\) | −1.93783 | − | 0.884980i | −0.123301 | − | 0.0563099i | ||||
\(248\) | 1.90872 | − | 6.50049i | 0.121204 | − | 0.412781i | ||||
\(249\) | 8.17544 | − | 3.73360i | 0.518097 | − | 0.236607i | ||||
\(250\) | −3.14132 | − | 21.8484i | −0.198675 | − | 1.38181i | ||||
\(251\) | 2.78381 | + | 1.78905i | 0.175712 | + | 0.112924i | 0.625541 | − | 0.780192i | \(-0.284878\pi\) |
−0.449828 | + | 0.893115i | \(0.648515\pi\) | |||||||
\(252\) | 7.27433 | − | 2.20112i | 0.458240 | − | 0.138657i | ||||
\(253\) | −0.744115 | + | 0.454784i | −0.0467821 | + | 0.0285920i | ||||
\(254\) | 18.2359 | 1.14422 | ||||||||
\(255\) | 3.37025 | − | 5.24421i | 0.211053 | − | 0.328405i | ||||
\(256\) | 0.738429 | + | 5.13589i | 0.0461518 | + | 0.320993i | ||||
\(257\) | −4.26711 | + | 1.94872i | −0.266175 | + | 0.121558i | −0.544032 | − | 0.839064i | \(-0.683103\pi\) |
0.277857 | + | 0.960622i | \(0.410376\pi\) | |||||||
\(258\) | 19.7779 | + | 5.80733i | 1.23132 | + | 0.361548i | ||||
\(259\) | −1.29478 | − | 0.175300i | −0.0804539 | − | 0.0108926i | ||||
\(260\) | −10.3274 | − | 8.94870i | −0.640475 | − | 0.554975i | ||||
\(261\) | 1.18971 | − | 8.27460i | 0.0736411 | − | 0.512185i | ||||
\(262\) | −5.51550 | − | 18.7841i | −0.340749 | − | 1.16048i | ||||
\(263\) | −9.47672 | + | 8.21162i | −0.584359 | + | 0.506350i | −0.896121 | − | 0.443810i | \(-0.853626\pi\) |
0.311761 | + | 0.950160i | \(0.399081\pi\) | |||||||
\(264\) | −0.294640 | + | 0.189354i | −0.0181339 | + | 0.0116539i | ||||
\(265\) | 4.67737 | + | 7.27813i | 0.287329 | + | 0.447092i | ||||
\(266\) | 2.55106 | + | 1.60996i | 0.156415 | + | 0.0987128i | ||||
\(267\) | 5.12354 | + | 17.4492i | 0.313556 | + | 1.06787i | ||||
\(268\) | −6.86270 | − | 0.986707i | −0.419206 | − | 0.0602727i | ||||
\(269\) | 14.2497 | + | 12.3474i | 0.868819 | + | 0.752836i | 0.970275 | − | 0.242004i | \(-0.0778047\pi\) |
−0.101456 | + | 0.994840i | \(0.532350\pi\) | |||||||
\(270\) | 2.31593 | + | 1.05765i | 0.140943 | + | 0.0643666i | ||||
\(271\) | −8.86135 | + | 30.1790i | −0.538289 | + | 1.83324i | 0.0144607 | + | 0.999895i | \(0.495397\pi\) |
−0.552749 | + | 0.833348i | \(0.686421\pi\) | |||||||
\(272\) | 3.35331 | + | 7.34272i | 0.203324 | + | 0.445218i | ||||
\(273\) | −4.61459 | − | 9.88840i | −0.279288 | − | 0.598473i | ||||
\(274\) | 3.96614 | − | 6.17144i | 0.239603 | − | 0.372830i | ||||
\(275\) | 0.667300i | 0.0402397i | ||||||||
\(276\) | 11.7547 | − | 7.18418i | 0.707550 | − | 0.432437i | ||||
\(277\) | 3.73824 | 0.224609 | 0.112305 | − | 0.993674i | \(-0.464177\pi\) | ||||
0.112305 | + | 0.993674i | \(0.464177\pi\) | |||||||
\(278\) | 12.7612 | − | 19.8567i | 0.765363 | − | 1.19093i | ||||
\(279\) | 3.48170 | − | 0.500593i | 0.208444 | − | 0.0299697i | ||||
\(280\) | 3.88543 | + | 4.41018i | 0.232199 | + | 0.263558i | ||||
\(281\) | 0.146799 | − | 0.499952i | 0.00875730 | − | 0.0298246i | −0.954998 | − | 0.296611i | \(-0.904144\pi\) |
0.963756 | + | 0.266786i | \(0.0859618\pi\) | |||||||
\(282\) | 3.58574 | − | 7.85167i | 0.213528 | − | 0.467560i | ||||
\(283\) | −13.5035 | + | 15.5838i | −0.802698 | + | 0.926363i | −0.998526 | − | 0.0542754i | \(-0.982715\pi\) |
0.195828 | + | 0.980638i | \(0.437261\pi\) | |||||||
\(284\) | 3.84618 | − | 26.7508i | 0.228229 | − | 1.58737i | ||||
\(285\) | 0.167845 | + | 0.571628i | 0.00994229 | + | 0.0338603i | ||||
\(286\) | 1.08414 | + | 1.25116i | 0.0641064 | + | 0.0739827i | ||||
\(287\) | −19.0093 | − | 16.1997i | −1.12208 | − | 0.956236i | ||||
\(288\) | −6.01409 | + | 3.86502i | −0.354383 | + | 0.227748i | ||||
\(289\) | −7.99631 | − | 9.22823i | −0.470371 | − | 0.542837i | ||||
\(290\) | 20.4217 | − | 5.99636i | 1.19920 | − | 0.352118i | ||||
\(291\) | 7.12886 | + | 1.02498i | 0.417901 | + | 0.0600851i | ||||
\(292\) | −14.0532 | − | 12.1772i | −0.822404 | − | 0.712617i | ||||
\(293\) | −13.8642 | + | 30.3583i | −0.809953 | + | 1.77355i | −0.202342 | + | 0.979315i | \(0.564855\pi\) |
−0.607611 | + | 0.794235i | \(0.707872\pi\) | |||||||
\(294\) | 4.59664 | + | 14.7521i | 0.268082 | + | 0.860363i | ||||
\(295\) | −4.57490 | + | 2.08929i | −0.266361 | + | 0.121643i | ||||
\(296\) | −0.941496 | + | 0.135367i | −0.0547233 | + | 0.00786803i | ||||
\(297\) | −0.152976 | − | 0.0983116i | −0.00887656 | − | 0.00570462i | ||||
\(298\) | 8.58153i | 0.497115i | ||||||||
\(299\) | −12.6119 | − | 15.2376i | −0.729368 | − | 0.881214i | ||||
\(300\) | − | 10.5413i | − | 0.608601i | ||||||
\(301\) | −6.76531 | + | 23.7621i | −0.389946 | + | 1.36963i | ||||
\(302\) | −6.29470 | − | 43.7806i | −0.362219 | − | 2.51929i | ||||
\(303\) | −2.23046 | − | 4.88403i | −0.128137 | − | 0.280580i | ||||
\(304\) | −0.740205 | − | 0.217344i | −0.0424536 | − | 0.0124655i | ||||
\(305\) | 2.55038 | − | 5.58455i | 0.146034 | − | 0.319770i | ||||
\(306\) | 7.81265 | − | 9.01627i | 0.446619 | − | 0.515426i | ||||
\(307\) | −20.0223 | − | 2.87877i | −1.14273 | − | 0.164300i | −0.455156 | − | 0.890412i | \(-0.650416\pi\) |
−0.687577 | + | 0.726112i | \(0.741326\pi\) | |||||||
\(308\) | −0.756716 | − | 1.15644i | −0.0431179 | − | 0.0658942i | ||||
\(309\) | 4.46512 | − | 3.86905i | 0.254012 | − | 0.220103i | ||||
\(310\) | 4.84177 | + | 7.53394i | 0.274994 | + | 0.427899i | ||||
\(311\) | −15.9969 | − | 24.8916i | −0.907100 | − | 1.41148i | −0.911416 | − | 0.411485i | \(-0.865010\pi\) |
0.00431606 | − | 0.999991i | \(-0.498626\pi\) | |||||||
\(312\) | −5.20211 | − | 6.00355i | −0.294511 | − | 0.339884i | ||||
\(313\) | 31.4011 | − | 9.22018i | 1.77489 | − | 0.521156i | 0.780337 | − | 0.625359i | \(-0.215048\pi\) |
0.994556 | + | 0.104204i | \(0.0332294\pi\) | |||||||
\(314\) | −1.00027 | + | 6.95702i | −0.0564484 | + | 0.392607i | ||||
\(315\) | −1.24481 | + | 2.78619i | −0.0701369 | + | 0.156984i | ||||
\(316\) | 10.3430 | + | 4.72347i | 0.581837 | + | 0.265716i | ||||
\(317\) | 22.0417 | + | 6.47203i | 1.23799 | + | 0.363506i | 0.834258 | − | 0.551374i | \(-0.185896\pi\) |
0.403728 | + | 0.914879i | \(0.367714\pi\) | |||||||
\(318\) | 6.87814 | + | 15.0610i | 0.385707 | + | 0.844581i | ||||
\(319\) | −1.50468 | + | 0.216340i | −0.0842457 | + | 0.0121127i | ||||
\(320\) | −12.4135 | − | 7.97769i | −0.693937 | − | 0.445966i | ||||
\(321\) | 12.3611 | 0.689932 | ||||||||
\(322\) | 14.8023 | + | 23.7775i | 0.824902 | + | 1.32507i | ||||
\(323\) | 2.79165 | 0.155332 | ||||||||
\(324\) | 2.41654 | + | 1.55302i | 0.134252 | + | 0.0862788i | ||||
\(325\) | −14.9811 | + | 2.15395i | −0.831001 | + | 0.119480i | ||||
\(326\) | 15.3288 | + | 33.5654i | 0.848985 | + | 1.85902i | ||||
\(327\) | 19.3689 | + | 5.68724i | 1.07111 | + | 0.314505i | ||||
\(328\) | −16.5387 | − | 7.55298i | −0.913198 | − | 0.417044i | ||||
\(329\) | 9.44598 | + | 4.22025i | 0.520774 | + | 0.232670i | ||||
\(330\) | 0.0658881 | − | 0.458262i | 0.00362702 | − | 0.0252265i | ||||
\(331\) | −11.8576 | + | 3.48170i | −0.651752 | + | 0.191372i | −0.590862 | − | 0.806773i | \(-0.701212\pi\) |
−0.0608904 | + | 0.998144i | \(0.519394\pi\) | |||||||
\(332\) | 16.9068 | + | 19.5115i | 0.927882 | + | 1.07083i | ||||
\(333\) | −0.266994 | − | 0.415450i | −0.0146312 | − | 0.0227665i | ||||
\(334\) | −17.1859 | − | 26.7417i | −0.940369 | − | 1.46324i | ||||
\(335\) | 2.10392 | − | 1.82306i | 0.114950 | − | 0.0996045i | ||||
\(336\) | −2.16366 | − | 3.30658i | −0.118037 | − | 0.180389i | ||||
\(337\) | −7.17478 | − | 1.03158i | −0.390835 | − | 0.0561936i | −0.0559039 | − | 0.998436i | \(-0.517804\pi\) |
−0.334931 | + | 0.942243i | \(0.608713\pi\) | |||||||
\(338\) | −5.79760 | + | 6.69079i | −0.315348 | + | 0.363931i | ||||
\(339\) | 4.88506 | − | 10.6968i | 0.265320 | − | 0.580970i | ||||
\(340\) | 17.1816 | + | 5.04496i | 0.931801 | + | 0.273602i | ||||
\(341\) | −0.265713 | − | 0.581831i | −0.0143892 | − | 0.0315079i | ||||
\(342\) | 0.162263 | + | 1.12856i | 0.00877415 | + | 0.0610256i | ||||
\(343\) | −17.6359 | + | 5.65480i | −0.952246 | + | 0.305331i | ||||
\(344\) | 17.9858i | 0.969731i | ||||||||
\(345\) | −0.910766 | + | 5.45605i | −0.0490340 | + | 0.293744i | ||||
\(346\) | 12.6610i | 0.680662i | ||||||||
\(347\) | −3.63509 | − | 2.33613i | −0.195142 | − | 0.125410i | 0.439421 | − | 0.898281i | \(-0.355184\pi\) |
−0.634563 | + | 0.772871i | \(0.718820\pi\) | |||||||
\(348\) | 23.7692 | − | 3.41750i | 1.27416 | − | 0.183197i | ||||
\(349\) | 11.8794 | − | 5.42516i | 0.635892 | − | 0.290402i | −0.0712667 | − | 0.997457i | \(-0.522704\pi\) |
0.707158 | + | 0.707055i | \(0.249977\pi\) | |||||||
\(350\) | 21.4308 | − | 0.176353i | 1.14552 | − | 0.00942644i | ||||
\(351\) | 1.71334 | − | 3.75169i | 0.0914513 | − | 0.200250i | ||||
\(352\) | 0.982464 | + | 0.851310i | 0.0523655 | + | 0.0453750i | ||||
\(353\) | 13.0707 | + | 1.87929i | 0.695685 | + | 0.100024i | 0.481080 | − | 0.876677i | \(-0.340245\pi\) |
0.214605 | + | 0.976701i | \(0.431154\pi\) | |||||||
\(354\) | −9.23535 | + | 2.71174i | −0.490853 | + | 0.144128i | ||||
\(355\) | 7.10629 | + | 8.20110i | 0.377163 | + | 0.435269i | ||||
\(356\) | −43.9469 | + | 28.2429i | −2.32918 | + | 1.49687i | ||||
\(357\) | 10.8835 | + | 9.27492i | 0.576016 | + | 0.490881i | ||||
\(358\) | 13.5948 | + | 15.6893i | 0.718510 | + | 0.829204i | ||||
\(359\) | 3.71903 | + | 12.6659i | 0.196283 | + | 0.668479i | 0.997536 | + | 0.0701533i | \(0.0223489\pi\) |
−0.801253 | + | 0.598326i | \(0.795833\pi\) | |||||||
\(360\) | −0.316156 | + | 2.19891i | −0.0166629 | + | 0.115893i | ||||
\(361\) | 12.2676 | − | 14.1576i | 0.645665 | − | 0.745137i | ||||
\(362\) | −6.10949 | + | 13.3779i | −0.321108 | + | 0.703128i | ||||
\(363\) | 3.08974 | − | 10.5227i | 0.162169 | − | 0.552298i | ||||
\(364\) | 23.5198 | − | 20.7213i | 1.23277 | − | 1.08609i | ||||
\(365\) | 7.39043 | − | 1.06258i | 0.386833 | − | 0.0556182i | ||||
\(366\) | 6.35224 | − | 9.88428i | 0.332037 | − | 0.516660i | ||||
\(367\) | −19.4708 | −1.01637 | −0.508183 | − | 0.861249i | \(-0.669682\pi\) | ||||
−0.508183 | + | 0.861249i | \(0.669682\pi\) | |||||||
\(368\) | −5.30590 | − | 4.81180i | −0.276589 | − | 0.250832i | ||||
\(369\) | − | 9.43989i | − | 0.491421i | ||||||
\(370\) | 0.679769 | − | 1.05774i | 0.0353395 | − | 0.0549894i | ||||
\(371\) | −17.9836 | + | 8.39234i | −0.933660 | + | 0.435709i | ||||
\(372\) | 4.19744 | + | 9.19112i | 0.217627 | + | 0.476537i | ||||
\(373\) | −9.56478 | + | 32.5747i | −0.495246 | + | 1.68665i | 0.210011 | + | 0.977699i | \(0.432650\pi\) |
−0.705256 | + | 0.708953i | \(0.749168\pi\) | |||||||
\(374\) | −1.97338 | − | 0.901213i | −0.102041 | − | 0.0466006i | ||||
\(375\) | 7.55722 | + | 6.54837i | 0.390253 | + | 0.338156i | ||||
\(376\) | 7.45494 | + | 1.07186i | 0.384459 | + | 0.0552769i | ||||
\(377\) | −9.71378 | − | 33.0821i | −0.500285 | − | 1.70381i | ||||
\(378\) | −3.11691 | + | 4.93890i | −0.160317 | + | 0.254030i | ||||
\(379\) | 0.131640 | + | 0.204837i | 0.00676191 | + | 0.0105217i | 0.844618 | − | 0.535369i | \(-0.179828\pi\) |
−0.837856 | + | 0.545891i | \(0.816191\pi\) | |||||||
\(380\) | −1.43968 | + | 0.925228i | −0.0738542 | + | 0.0474632i | ||||
\(381\) | −6.24347 | + | 5.41000i | −0.319863 | + | 0.277163i | ||||
\(382\) | −5.49132 | − | 18.7017i | −0.280960 | − | 0.956862i | ||||
\(383\) | 2.06449 | − | 14.3589i | 0.105491 | − | 0.733704i | −0.866584 | − | 0.499032i | \(-0.833689\pi\) |
0.972074 | − | 0.234673i | \(-0.0754018\pi\) | |||||||
\(384\) | −10.5367 | − | 9.13011i | −0.537699 | − | 0.465919i | ||||
\(385\) | 0.549899 | + | 0.0744504i | 0.0280255 | + | 0.00379434i | ||||
\(386\) | 26.3976 | + | 7.75103i | 1.34360 | + | 0.394517i | ||||
\(387\) | −8.49429 | + | 3.87921i | −0.431789 | + | 0.197191i | ||||
\(388\) | 2.94429 | + | 20.4780i | 0.149474 | + | 1.03961i | ||||
\(389\) | −14.6822 | + | 22.8460i | −0.744418 | + | 1.15834i | 0.237931 | + | 0.971282i | \(0.423531\pi\) |
−0.982349 | + | 0.187055i | \(0.940106\pi\) | |||||||
\(390\) | 10.5008 | 0.531728 | ||||||||
\(391\) | 23.3283 | + | 11.2977i | 1.17976 | + | 0.571349i | ||||
\(392\) | −11.2206 | + | 7.47480i | −0.566727 | + | 0.377535i | ||||
\(393\) | 7.46099 | + | 4.79489i | 0.376357 | + | 0.241870i | ||||
\(394\) | −6.44671 | − | 44.8379i | −0.324781 | − | 2.25890i | ||||
\(395\) | −4.15297 | + | 1.89660i | −0.208959 | + | 0.0954282i | ||||
\(396\) | 0.147164 | − | 0.501194i | 0.00739526 | − | 0.0251859i | ||||
\(397\) | −12.4054 | − | 5.66535i | −0.622609 | − | 0.284336i | 0.0790260 | − | 0.996873i | \(-0.474819\pi\) |
−0.701635 | + | 0.712537i | \(0.747546\pi\) | |||||||
\(398\) | −0.337666 | + | 0.389687i | −0.0169257 | + | 0.0195332i | ||||
\(399\) | −1.35104 | + | 0.205610i | −0.0676364 | + | 0.0102934i | ||||
\(400\) | −5.25881 | + | 1.54412i | −0.262940 | + | 0.0772062i | ||||
\(401\) | 10.3538 | − | 8.97165i | 0.517046 | − | 0.448023i | −0.356832 | − | 0.934169i | \(-0.616143\pi\) |
0.873878 | + | 0.486146i | \(0.161598\pi\) | |||||||
\(402\) | 4.48203 | − | 2.88043i | 0.223544 | − | 0.143663i | ||||
\(403\) | 12.2046 | − | 7.84341i | 0.607954 | − | 0.390708i | ||||
\(404\) | 11.6562 | − | 10.1002i | 0.579920 | − | 0.502503i | ||||
\(405\) | −1.10668 | + | 0.324952i | −0.0549916 | + | 0.0161470i | ||||
\(406\) | 7.34554 | + | 48.2664i | 0.364553 | + | 2.39542i | ||||
\(407\) | −0.0588081 | + | 0.0678682i | −0.00291501 | + | 0.00336410i | ||||
\(408\) | 9.46904 | + | 4.32437i | 0.468787 | + | 0.214088i | ||||
\(409\) | 2.34551 | − | 7.98808i | 0.115978 | − | 0.394985i | −0.880959 | − | 0.473193i | \(-0.843101\pi\) |
0.996937 | + | 0.0782073i | \(0.0249196\pi\) | |||||||
\(410\) | 21.8622 | − | 9.98412i | 1.07970 | − | 0.493080i | ||||
\(411\) | 0.472968 | + | 3.28956i | 0.0233298 | + | 0.162262i | ||||
\(412\) | 14.2774 | + | 9.17555i | 0.703399 | + | 0.452047i | ||||
\(413\) | −3.34125 | − | 11.0423i | −0.164412 | − | 0.543355i | ||||
\(414\) | −3.21130 | + | 10.0874i | −0.157827 | + | 0.495770i | ||||
\(415\) | −10.3664 | −0.508866 | ||||||||
\(416\) | −15.9409 | + | 24.8045i | −0.781567 | + | 1.21614i | ||||
\(417\) | 1.52178 | + | 10.5842i | 0.0745221 | + | 0.518313i | ||||
\(418\) | 0.188595 | − | 0.0861284i | 0.00922448 | − | 0.00421268i | ||||
\(419\) | 4.67543 | + | 1.37283i | 0.228410 | + | 0.0670672i | 0.393935 | − | 0.919138i | \(-0.371114\pi\) |
−0.165525 | + | 0.986206i | \(0.552932\pi\) | |||||||
\(420\) | −8.68670 | − | 1.17608i | −0.423867 | − | 0.0573871i | ||||
\(421\) | 20.5656 | + | 17.8202i | 1.00231 | + | 0.868505i | 0.991325 | − | 0.131435i | \(-0.0419584\pi\) |
0.0109832 | + | 0.999940i | \(0.496504\pi\) | |||||||
\(422\) | 3.27615 | − | 22.7861i | 0.159480 | − | 1.10921i | ||||
\(423\) | 1.10168 | + | 3.75198i | 0.0535655 | + | 0.182427i | ||||
\(424\) | −10.9184 | + | 9.46082i | −0.530243 | + | 0.459458i | ||||
\(425\) | 16.6849 | − | 10.7227i | 0.809336 | − | 0.520128i | ||||
\(426\) | 11.2279 | + | 17.4710i | 0.543994 | + | 0.846471i | ||||
\(427\) | 11.9095 | + | 7.51599i | 0.576339 | + | 0.363724i | ||||
\(428\) | 10.0038 | + | 34.0697i | 0.483550 | + | 1.64682i | ||||
\(429\) | −0.742359 | − | 0.106735i | −0.0358414 | − | 0.00515322i | ||||
\(430\) | −17.9680 | − | 15.5693i | −0.866493 | − | 0.750821i | ||||
\(431\) | −17.8362 | − | 8.14552i | −0.859139 | − | 0.392356i | −0.0633949 | − | 0.997989i | \(-0.520193\pi\) |
−0.795744 | + | 0.605633i | \(0.792920\pi\) | |||||||
\(432\) | 0.420782 | − | 1.43305i | 0.0202449 | − | 0.0689477i | ||||
\(433\) | −2.89909 | − | 6.34811i | −0.139321 | − | 0.305071i | 0.827091 | − | 0.562068i | \(-0.189994\pi\) |
−0.966412 | + | 0.256997i | \(0.917267\pi\) | |||||||
\(434\) | −18.6156 | + | 8.68731i | −0.893580 | + | 0.417004i | ||||
\(435\) | −5.21292 | + | 8.11146i | −0.249940 | + | 0.388915i | ||||
\(436\) | 57.9872i | 2.77708i | ||||||||
\(437\) | −2.27598 | + | 0.977859i | −0.108875 | + | 0.0467773i | ||||
\(438\) | 14.2892 | 0.682766 | ||||||||
\(439\) | 12.8947 | − | 20.0646i | 0.615431 | − | 0.957629i | −0.383981 | − | 0.923341i | \(-0.625447\pi\) |
0.999412 | − | 0.0342879i | \(-0.0109163\pi\) | |||||||
\(440\) | 0.399857 | − | 0.0574907i | 0.0190624 | − | 0.00274076i | ||||
\(441\) | −5.95026 | − | 3.68706i | −0.283346 | − | 0.175574i | ||||
\(442\) | 13.8627 | − | 47.2120i | 0.659381 | − | 2.24564i | ||||
\(443\) | 12.7530 | − | 27.9251i | 0.605911 | − | 1.32676i | −0.319425 | − | 0.947612i | \(-0.603490\pi\) |
0.925336 | − | 0.379149i | \(-0.123783\pi\) | |||||||
\(444\) | 0.928986 | − | 1.07211i | 0.0440877 | − | 0.0508799i | ||||
\(445\) | 2.98515 | − | 20.7621i | 0.141509 | − | 0.984220i | ||||
\(446\) | 11.3772 | + | 38.7473i | 0.538727 | + | 1.83474i | ||||
\(447\) | −2.54587 | − | 2.93809i | −0.120415 | − | 0.138967i | ||||
\(448\) | 21.9546 | − | 25.7623i | 1.03726 | − | 1.21715i | ||||
\(449\) | 20.7980 | − | 13.3661i | 0.981520 | − | 0.630785i | 0.0516471 | − | 0.998665i | \(-0.483553\pi\) |
0.929873 | + | 0.367881i | \(0.119917\pi\) | |||||||
\(450\) | 5.30460 | + | 6.12183i | 0.250061 | + | 0.288586i | ||||
\(451\) | −1.64704 | + | 0.483615i | −0.0775562 | + | 0.0227726i | ||||
\(452\) | 33.4358 | + | 4.80735i | 1.57269 | + | 0.226119i | ||||
\(453\) | 15.1434 | + | 13.1219i | 0.711500 | + | 0.616519i | ||||
\(454\) | 3.69900 | − | 8.09969i | 0.173603 | − | 0.380137i | ||||
\(455\) | 0.103567 | + | 12.5857i | 0.00485530 | + | 0.590027i | ||||
\(456\) | −0.904950 | + | 0.413277i | −0.0423782 | + | 0.0193535i | ||||
\(457\) | 3.80759 | − | 0.547448i | 0.178111 | − | 0.0256085i | −0.0526820 | − | 0.998611i | \(-0.516777\pi\) |
0.230793 | + | 0.973003i | \(0.425868\pi\) | |||||||
\(458\) | −40.8866 | − | 26.2762i | −1.91050 | − | 1.22781i | ||||
\(459\) | 5.40469i | 0.252269i | ||||||||
\(460\) | −15.7750 | + | 1.90528i | −0.735513 | + | 0.0888343i | ||||
\(461\) | − | 17.2774i | − | 0.804689i | −0.915488 | − | 0.402344i | \(-0.868195\pi\) | ||
0.915488 | − | 0.402344i | \(-0.131805\pi\) | |||||||
\(462\) | 1.02141 | + | 0.290804i | 0.0475201 | + | 0.0135294i | ||||
\(463\) | −4.72660 | − | 32.8742i | −0.219664 | − | 1.52779i | −0.739282 | − | 0.673395i | \(-0.764835\pi\) |
0.519619 | − | 0.854398i | \(-0.326074\pi\) | |||||||
\(464\) | −5.18671 | − | 11.3573i | −0.240787 | − | 0.527250i | ||||
\(465\) | −3.89277 | − | 1.14302i | −0.180523 | − | 0.0530063i | ||||
\(466\) | −3.68060 | + | 8.05938i | −0.170500 | + | 0.373344i | ||||
\(467\) | 5.25407 | − | 6.06352i | 0.243129 | − | 0.280586i | −0.621049 | − | 0.783772i | \(-0.713293\pi\) |
0.864178 | + | 0.503185i | \(0.167839\pi\) | |||||||
\(468\) | 11.7270 | + | 1.68608i | 0.542079 | + | 0.0779393i | ||||
\(469\) | 3.49654 | + | 5.34353i | 0.161455 | + | 0.246741i | ||||
\(470\) | −7.52413 | + | 6.51970i | −0.347062 | + | 0.300731i | ||||
\(471\) | −1.72146 | − | 2.67865i | −0.0793207 | − | 0.123425i | ||||
\(472\) | −4.54058 | − | 7.06528i | −0.208997 | − | 0.325206i | ||||
\(473\) | 1.11200 | + | 1.28332i | 0.0511300 | + | 0.0590071i | ||||
\(474\) | −8.38361 | + | 2.46165i | −0.385072 | + | 0.113067i | ||||
\(475\) | −0.269752 | + | 1.87617i | −0.0123771 | + | 0.0860845i | ||||
\(476\) | −16.7555 | + | 37.5032i | −0.767989 | + | 1.71895i | ||||
\(477\) | −6.82302 | − | 3.11597i | −0.312405 | − | 0.142670i | ||||
\(478\) | 26.9593 | + | 7.91596i | 1.23309 | + | 0.362067i | ||||
\(479\) | 0.337016 | + | 0.737963i | 0.0153987 | + | 0.0337184i | 0.917175 | − | 0.398484i | \(-0.130464\pi\) |
−0.901776 | + | 0.432203i | \(0.857736\pi\) | |||||||
\(480\) | 8.16172 | − | 1.17348i | 0.372530 | − | 0.0535617i | ||||
\(481\) | −1.71349 | − | 1.10119i | −0.0781282 | − | 0.0502099i | ||||
\(482\) | −44.6778 | −2.03502 | ||||||||
\(483\) | −12.1220 | − | 3.74941i | −0.551568 | − | 0.170604i | ||||
\(484\) | 31.5031 | 1.43196 | ||||||||
\(485\) | −6.98831 | − | 4.49111i | −0.317323 | − | 0.203931i | ||||
\(486\) | −2.18492 | + | 0.314144i | −0.0991099 | + | 0.0142498i | ||||
\(487\) | −1.16815 | − | 2.55788i | −0.0529338 | − | 0.115909i | 0.881317 | − | 0.472525i | \(-0.156658\pi\) |
−0.934251 | + | 0.356617i | \(0.883930\pi\) | |||||||
\(488\) | 9.83674 | + | 2.88833i | 0.445288 | + | 0.130748i | ||||
\(489\) | −15.2060 | − | 6.94433i | −0.687638 | − | 0.314034i | ||||
\(490\) | 2.24569 | − | 17.6800i | 0.101450 | − | 0.798702i | ||||
\(491\) | −0.789073 | + | 5.48813i | −0.0356104 | + | 0.247676i | −0.999849 | − | 0.0173588i | \(-0.994474\pi\) |
0.964239 | + | 0.265034i | \(0.0853833\pi\) | |||||||
\(492\) | 26.0182 | − | 7.63962i | 1.17299 | − | 0.344421i | ||||
\(493\) | 29.5876 | + | 34.1459i | 1.33256 | + | 1.53786i | ||||
\(494\) | 2.54237 | + | 3.95600i | 0.114386 | + | 0.177989i | ||||
\(495\) | 0.113393 | + | 0.176443i | 0.00509665 | + | 0.00793054i | ||||
\(496\) | 3.97039 | − | 3.44036i | 0.178276 | − | 0.154477i | ||||
\(497\) | −20.8291 | + | 13.6295i | −0.934312 | + | 0.611368i | ||||
\(498\) | −19.6372 | − | 2.82341i | −0.879966 | − | 0.126520i | ||||
\(499\) | −21.6534 | + | 24.9894i | −0.969341 | + | 1.11868i | 0.0235580 | + | 0.999722i | \(0.492501\pi\) |
−0.992899 | + | 0.118957i | \(0.962045\pi\) | |||||||
\(500\) | −11.9326 | + | 26.1287i | −0.533641 | + | 1.16851i | ||||
\(501\) | 13.8174 | + | 4.05715i | 0.617316 | + | 0.181260i | ||||
\(502\) | −3.03440 | − | 6.64441i | −0.135432 | − | 0.296555i | ||||
\(503\) | −1.81101 | − | 12.5959i | −0.0807491 | − | 0.561623i | −0.989528 | − | 0.144344i | \(-0.953893\pi\) |
0.908778 | − | 0.417279i | \(-0.137016\pi\) | |||||||
\(504\) | −4.90110 | − | 1.39539i | −0.218312 | − | 0.0621556i | ||||
\(505\) | 6.19292i | 0.275581i | ||||||||
\(506\) | 1.92454 | + | 0.0435080i | 0.0855563 | + | 0.00193417i | ||||
\(507\) | − | 4.01071i | − | 0.178122i | ||||||
\(508\) | −19.9638 | − | 12.8299i | −0.885750 | − | 0.569237i | ||||
\(509\) | 13.4497 | − | 1.93377i | 0.596146 | − | 0.0857129i | 0.162365 | − | 0.986731i | \(-0.448088\pi\) |
0.433782 | + | 0.901018i | \(0.357179\pi\) | |||||||
\(510\) | −12.5169 | + | 5.71628i | −0.554258 | + | 0.253121i | ||||
\(511\) | 0.140932 | + | 17.1264i | 0.00623446 | + | 0.757626i | ||||
\(512\) | −6.82555 | + | 14.9459i | −0.301649 | + | 0.660520i | ||||
\(513\) | −0.390362 | − | 0.338251i | −0.0172349 | − | 0.0149341i | ||||
\(514\) | 10.2495 | + | 1.47366i | 0.452087 | + | 0.0650002i | ||||
\(515\) | −6.53852 | + | 1.91988i | −0.288122 | + | 0.0846001i | ||||
\(516\) | −17.5662 | − | 20.2725i | −0.773309 | − | 0.892446i | ||||
\(517\) | 0.598193 | − | 0.384435i | 0.0263085 | − | 0.0169074i | ||||
\(518\) | 2.19517 | + | 1.87072i | 0.0964503 | + | 0.0821949i | ||||
\(519\) | −3.75613 | − | 4.33480i | −0.164876 | − | 0.190277i | ||||
\(520\) | 2.58137 | + | 8.79133i | 0.113200 | + | 0.385525i | ||||
\(521\) | 0.205262 | − | 1.42763i | 0.00899270 | − | 0.0625456i | −0.984831 | − | 0.173517i | \(-0.944487\pi\) |
0.993824 | + | 0.110971i | \(0.0353961\pi\) | |||||||
\(522\) | −12.0842 | + | 13.9459i | −0.528910 | + | 0.610395i | ||||
\(523\) | 10.3203 | − | 22.5983i | 0.451274 | − | 0.988153i | −0.538116 | − | 0.842871i | \(-0.680864\pi\) |
0.989390 | − | 0.145282i | \(-0.0464089\pi\) | |||||||
\(524\) | −7.17752 | + | 24.4444i | −0.313551 | + | 1.06786i | ||||
\(525\) | −7.28500 | + | 6.41820i | −0.317944 | + | 0.280113i | ||||
\(526\) | 27.3978 | − | 3.93920i | 1.19460 | − | 0.171757i | ||||
\(527\) | −10.2781 | + | 15.9931i | −0.447723 | + | 0.696671i | ||||
\(528\) | −0.271592 | −0.0118195 | ||||||||
\(529\) | −22.9765 | − | 1.03939i | −0.998978 | − | 0.0451908i | ||||
\(530\) | − | 19.0973i | − | 0.829532i | ||||||
\(531\) | 2.35745 | − | 3.66826i | 0.102305 | − | 0.159189i | ||||
\(532\) | −1.66008 | − | 3.55732i | −0.0719738 | − | 0.154229i | ||||
\(533\) | −16.1737 | − | 35.4155i | −0.700562 | − | 1.53402i | ||||
\(534\) | 11.3096 | − | 38.5171i | 0.489415 | − | 1.66680i | ||||
\(535\) | −12.9690 | − | 5.92275i | −0.560699 | − | 0.256063i | ||||
\(536\) | 3.51332 | + | 3.04431i | 0.151752 | + | 0.131494i | ||||
\(537\) | −9.30902 | − | 1.33843i | −0.401714 | − | 0.0577577i | ||||
\(538\) | −11.7258 | − | 39.9344i | −0.505536 | − | 1.72170i | ||||
\(539\) | −0.338469 | + | 1.22707i | −0.0145789 | + | 0.0528538i | ||||
\(540\) | −1.79126 | − | 2.78726i | −0.0770836 | − | 0.119944i | ||||
\(541\) | −2.54177 | + | 1.63350i | −0.109279 | + | 0.0702296i | −0.594139 | − | 0.804362i | \(-0.702507\pi\) |
0.484860 | + | 0.874592i | \(0.338871\pi\) | |||||||
\(542\) | 52.4710 | − | 45.4663i | 2.25382 | − | 1.95295i | ||||
\(543\) | −1.87707 | − | 6.39273i | −0.0805530 | − | 0.274338i | ||||
\(544\) | 5.49875 | − | 38.2446i | 0.235757 | − | 1.63973i | ||||
\(545\) | −17.5964 | − | 15.2474i | −0.753748 | − | 0.653126i | ||||
\(546\) | −3.23168 | + | 23.8695i | −0.138303 | + | 1.02152i | ||||
\(547\) | −7.35915 | − | 2.16084i | −0.314655 | − | 0.0923909i | 0.120592 | − | 0.992702i | \(-0.461521\pi\) |
−0.435247 | + | 0.900311i | \(0.643339\pi\) | |||||||
\(548\) | −8.68390 | + | 3.96580i | −0.370958 | + | 0.169411i | ||||
\(549\) | 0.757513 | + | 5.26862i | 0.0323299 | + | 0.224859i | ||||
\(550\) | 0.796358 | − | 1.23916i | 0.0339568 | − | 0.0528378i | ||||
\(551\) | −4.31797 | −0.183952 | ||||||||
\(552\) | −9.23469 | − | 0.208768i | −0.393054 | − | 0.00888575i | ||||
\(553\) | −3.03310 | − | 10.0239i | −0.128980 | − | 0.426259i | ||||
\(554\) | −6.94181 | − | 4.46123i | −0.294929 | − | 0.189539i | ||||
\(555\) | 0.0810634 | + | 0.563808i | 0.00344095 | + | 0.0239323i | ||||
\(556\) | −27.9407 | + | 12.7601i | −1.18495 | + | 0.541147i | ||||
\(557\) | 4.74966 | − | 16.1758i | 0.201249 | − | 0.685393i | −0.795582 | − | 0.605846i | \(-0.792835\pi\) |
0.996831 | − | 0.0795464i | \(-0.0253472\pi\) | |||||||
\(558\) | −7.06283 | − | 3.22549i | −0.298994 | − | 0.136546i | ||||
\(559\) | −25.2215 | + | 29.1072i | −1.06676 | + | 1.23110i | ||||
\(560\) | 0.685737 | + | 4.50588i | 0.0289777 | + | 0.190408i | ||||
\(561\) | 0.942994 | − | 0.276888i | 0.0398132 | − | 0.0116902i | ||||
\(562\) | −0.869246 | + | 0.753206i | −0.0366669 | + | 0.0317721i | ||||
\(563\) | −31.8865 | + | 20.4922i | −1.34385 | + | 0.863642i | −0.997231 | − | 0.0743625i | \(-0.976308\pi\) |
−0.346622 | + | 0.938005i | \(0.612671\pi\) | |||||||
\(564\) | −9.44959 | + | 6.07288i | −0.397899 | + | 0.255714i | ||||
\(565\) | −10.2506 | + | 8.88216i | −0.431244 | + | 0.373675i | ||||
\(566\) | 43.6733 | − | 12.8237i | 1.83573 | − | 0.539018i | ||||
\(567\) | −0.398066 | − | 2.61563i | −0.0167172 | − | 0.109846i | ||||
\(568\) | −11.8667 | + | 13.6949i | −0.497916 | + | 0.574625i | ||||
\(569\) | −30.8000 | − | 14.0659i | −1.29120 | − | 0.589672i | −0.352956 | − | 0.935640i | \(-0.614823\pi\) |
−0.938246 | + | 0.345968i | \(0.887551\pi\) | |||||||
\(570\) | 0.370499 | − | 1.26180i | 0.0155185 | − | 0.0528512i | ||||
\(571\) | −13.3561 | + | 6.09952i | −0.558934 | + | 0.255257i | −0.674791 | − | 0.738009i | \(-0.735766\pi\) |
0.115856 | + | 0.993266i | \(0.463039\pi\) | |||||||
\(572\) | −0.306602 | − | 2.13247i | −0.0128197 | − | 0.0891629i | ||||
\(573\) | 7.42828 | + | 4.77386i | 0.310321 | + | 0.199431i | ||||
\(574\) | 15.9669 | + | 52.7680i | 0.666445 | + | 2.20249i | ||||
\(575\) | −9.84695 | + | 14.5864i | −0.410646 | + | 0.608296i | ||||
\(576\) | 12.7934 | 0.533059 | ||||||||
\(577\) | −4.34932 | + | 6.76768i | −0.181065 | + | 0.281742i | −0.919907 | − | 0.392136i | \(-0.871736\pi\) |
0.738843 | + | 0.673878i | \(0.235373\pi\) | |||||||
\(578\) | 3.83591 | + | 26.6794i | 0.159553 | + | 1.10972i | ||||
\(579\) | −11.3373 | + | 5.17757i | −0.471162 | + | 0.215173i | ||||
\(580\) | −26.5755 | − | 7.80328i | −1.10349 | − | 0.324013i | ||||
\(581\) | 3.19032 | − | 23.5641i | 0.132357 | − | 0.977602i | ||||
\(582\) | −12.0149 | − | 10.4109i | −0.498033 | − | 0.431548i | ||||
\(583\) | −0.194114 | + | 1.35009i | −0.00803938 | + | 0.0559151i | ||||
\(584\) | 3.51267 | + | 11.9630i | 0.145355 | + | 0.495034i | ||||
\(585\) | −3.59519 | + | 3.11525i | −0.148643 | + | 0.128800i | ||||
\(586\) | 61.9750 | − | 39.8289i | 2.56016 | − | 1.64532i | ||||
\(587\) | 10.9306 | + | 17.0083i | 0.451153 | + | 0.702008i | 0.990105 | − | 0.140328i | \(-0.0448158\pi\) |
−0.538952 | + | 0.842337i | \(0.681179\pi\) | |||||||
\(588\) | 5.34677 | − | 19.3840i | 0.220497 | − | 0.799381i | ||||
\(589\) | −0.511873 | − | 1.74328i | −0.0210913 | − | 0.0718305i | ||||
\(590\) | 10.9888 | + | 1.57995i | 0.452402 | + | 0.0650456i | ||||
\(591\) | 15.5091 | + | 13.4387i | 0.637961 | + | 0.552796i | ||||
\(592\) | −0.670931 | − | 0.306404i | −0.0275751 | − | 0.0125931i | ||||
\(593\) | −5.76555 | + | 19.6357i | −0.236763 | + | 0.806340i | 0.752297 | + | 0.658824i | \(0.228946\pi\) |
−0.989060 | + | 0.147516i | \(0.952872\pi\) | |||||||
\(594\) | 0.166746 | + | 0.365124i | 0.00684169 | + | 0.0149812i | ||||
\(595\) | −6.97470 | − | 14.9458i | −0.285935 | − | 0.612716i | ||||
\(596\) | 6.03759 | − | 9.39467i | 0.247309 | − | 0.384821i | ||||
\(597\) | − | 0.233593i | − | 0.00956033i | ||||||
\(598\) | 5.23539 | + | 43.3470i | 0.214091 | + | 1.77259i | ||||
\(599\) | −42.0998 | −1.72015 | −0.860076 | − | 0.510166i | \(-0.829584\pi\) | ||||
−0.860076 | + | 0.510166i | \(0.829584\pi\) | |||||||
\(600\) | −3.82123 | + | 5.94595i | −0.156001 | + | 0.242742i | ||||
\(601\) | 43.0800 | − | 6.19397i | 1.75727 | − | 0.252657i | 0.813102 | − | 0.582122i | \(-0.197777\pi\) |
0.944168 | + | 0.329464i | \(0.106868\pi\) | |||||||
\(602\) | 40.9208 | − | 36.0518i | 1.66781 | − | 1.46936i | ||||
\(603\) | −0.679997 | + | 2.31586i | −0.0276916 | + | 0.0943090i | ||||
\(604\) | −23.9109 | + | 52.3576i | −0.972922 | + | 2.13040i | ||||
\(605\) | −8.28355 | + | 9.55972i | −0.336774 | + | 0.388658i | ||||
\(606\) | −1.68671 | + | 11.7314i | −0.0685181 | + | 0.476554i | ||||
\(607\) | 11.9954 | + | 40.8525i | 0.486877 | + | 1.65815i | 0.726409 | + | 0.687263i | \(0.241188\pi\) |
−0.239531 | + | 0.970889i | \(0.576994\pi\) | |||||||
\(608\) | 2.41814 | + | 2.79068i | 0.0980686 | + | 0.113177i | ||||
\(609\) | −16.8340 | − | 14.3459i | −0.682149 | − | 0.581327i | ||||
\(610\) | −11.4006 | + | 7.32671i | −0.461596 | + | 0.296650i | ||||
\(611\) | 10.5616 | + | 12.1887i | 0.427275 | + | 0.493102i | ||||
\(612\) | −14.8964 | + | 4.37397i | −0.602150 | + | 0.176807i | ||||
\(613\) | 24.3624 | + | 3.50278i | 0.983987 | + | 0.141476i | 0.615483 | − | 0.788150i | \(-0.288961\pi\) |
0.368504 | + | 0.929626i | \(0.379870\pi\) | |||||||
\(614\) | 33.7453 | + | 29.2405i | 1.36185 | + | 1.18005i | ||||
\(615\) | −4.52305 | + | 9.90410i | −0.182387 | + | 0.399372i | ||||
\(616\) | 0.00762507 | + | 0.926616i | 0.000307223 | + | 0.0373344i | ||||
\(617\) | −24.6619 | + | 11.2627i | −0.992852 | + | 0.453420i | −0.844524 | − | 0.535518i | \(-0.820116\pi\) |
−0.148328 | + | 0.988938i | \(0.547389\pi\) | |||||||
\(618\) | −12.9089 | + | 1.85603i | −0.519274 | + | 0.0746603i | ||||
\(619\) | −7.04889 | − | 4.53005i | −0.283319 | − | 0.182078i | 0.391261 | − | 0.920280i | \(-0.372039\pi\) |
−0.674580 | + | 0.738202i | \(0.735675\pi\) | |||||||
\(620\) | − | 11.6543i | − | 0.468047i | ||||||
\(621\) | −1.89316 | − | 4.40635i | −0.0759697 | − | 0.176821i | ||||
\(622\) | 65.3138i | 2.61884i | ||||||||
\(623\) | 46.2762 | + | 13.1753i | 1.85402 | + | 0.527856i | ||||
\(624\) | −0.876661 | − | 6.09731i | −0.0350945 | − | 0.244088i | ||||
\(625\) | 2.83090 | + | 6.19881i | 0.113236 | + | 0.247953i | ||||
\(626\) | −69.3143 | − | 20.3525i | −2.77035 | − | 0.813450i | ||||
\(627\) | −0.0390183 | + | 0.0854381i | −0.00155824 | + | 0.00341207i | ||||
\(628\) | 5.98970 | − | 6.91248i | 0.239015 | − | 0.275838i | ||||
\(629\) | 2.64192 | + | 0.379851i | 0.105340 | + | 0.0151457i | ||||
\(630\) | 5.63662 | − | 3.68832i | 0.224568 | − | 0.146946i | ||||
\(631\) | −10.4959 | + | 9.09477i | −0.417836 | + | 0.362057i | −0.838260 | − | 0.545271i | \(-0.816427\pi\) |
0.420424 | + | 0.907328i | \(0.361881\pi\) | |||||||
\(632\) | −4.12182 | − | 6.41368i | −0.163957 | − | 0.255122i | ||||
\(633\) | 5.63825 | + | 8.77328i | 0.224100 | + | 0.348707i | ||||
\(634\) | −33.2071 | − | 38.3230i | −1.31882 | − | 1.52200i | ||||
\(635\) | 9.14265 | − | 2.68452i | 0.362815 | − | 0.106532i | ||||
\(636\) | 3.06640 | − | 21.3273i | 0.121591 | − | 0.845682i | ||||
\(637\) | −28.6407 | − | 3.63791i | −1.13479 | − | 0.144139i | ||||
\(638\) | 3.05232 | + | 1.39395i | 0.120843 | + | 0.0551869i | ||||
\(639\) | −9.02721 | − | 2.65063i | −0.357111 | − | 0.104857i | ||||
\(640\) | 6.68023 | + | 14.6277i | 0.264059 | + | 0.578209i | ||||
\(641\) | −6.88192 | + | 0.989471i | −0.271820 | + | 0.0390818i | −0.276877 | − | 0.960905i | \(-0.589299\pi\) |
0.00505709 | + | 0.999987i | \(0.498390\pi\) | |||||||
\(642\) | −22.9543 | − | 14.7518i | −0.905934 | − | 0.582208i | ||||
\(643\) | 12.7776 | 0.503899 | 0.251950 | − | 0.967740i | \(-0.418928\pi\) | ||||
0.251950 | + | 0.967740i | \(0.418928\pi\) | |||||||
\(644\) | 0.523906 | − | 36.4448i | 0.0206448 | − | 1.43613i | ||||
\(645\) | 10.7707 | 0.424095 | ||||||||
\(646\) | −5.18401 | − | 3.33156i | −0.203962 | − | 0.131079i | ||||
\(647\) | 41.7192 | − | 5.99831i | 1.64015 | − | 0.235818i | 0.740382 | − | 0.672187i | \(-0.234645\pi\) |
0.899768 | + | 0.436369i | \(0.143736\pi\) | |||||||
\(648\) | −0.800113 | − | 1.75200i | −0.0314314 | − | 0.0688252i | ||||
\(649\) | −0.760802 | − | 0.223391i | −0.0298641 | − | 0.00876888i | ||||
\(650\) | 30.3900 | + | 13.8786i | 1.19199 | + | 0.544365i | ||||
\(651\) | 3.79625 | − | 8.49697i | 0.148787 | − | 0.333023i | ||||
\(652\) | 6.83387 | − | 47.5306i | 0.267635 | − | 1.86144i | ||||
\(653\) | 40.2287 | − | 11.8122i | 1.57427 | − | 0.462248i | 0.626030 | − | 0.779799i | \(-0.284679\pi\) |
0.948241 | + | 0.317551i | \(0.102861\pi\) | |||||||
\(654\) | −29.1804 | − | 33.6760i | −1.14104 | − | 1.31684i | ||||
\(655\) | −5.53045 | − | 8.60555i | −0.216093 | − | 0.336247i | ||||
\(656\) | −7.62247 | − | 11.8608i | −0.297608 | − | 0.463087i | ||||
\(657\) | −4.89225 | + | 4.23916i | −0.190865 | + | 0.165385i | ||||
\(658\) | −12.5045 | − | 19.1097i | −0.487475 | − | 0.744975i | ||||
\(659\) | 26.5223 | + | 3.81333i | 1.03316 | + | 0.148546i | 0.637977 | − | 0.770055i | \(-0.279771\pi\) |
0.395185 | + | 0.918602i | \(0.370681\pi\) | |||||||
\(660\) | −0.394544 | + | 0.455328i | −0.0153576 | + | 0.0177236i | ||||
\(661\) | 11.5124 | − | 25.2086i | 0.447781 | − | 0.980503i | −0.542324 | − | 0.840170i | \(-0.682455\pi\) |
0.990104 | − | 0.140333i | \(-0.0448173\pi\) | |||||||
\(662\) | 26.1743 | + | 7.68546i | 1.01729 | + | 0.298704i | ||||
\(663\) | 9.26007 | + | 20.2767i | 0.359631 | + | 0.787483i | ||||
\(664\) | −2.46357 | − | 17.1345i | −0.0956050 | − | 0.664947i | ||||
\(665\) | 1.51599 | + | 0.431617i | 0.0587876 | + | 0.0167374i | ||||
\(666\) | 1.09011i | 0.0422409i | ||||||||
\(667\) | −36.0829 | − | 17.4747i | −1.39714 | − | 0.676621i | ||||
\(668\) | 41.3668i | 1.60053i | ||||||||
\(669\) | −15.3903 | − | 9.89077i | −0.595025 | − | 0.382399i | ||||
\(670\) | −6.08257 | + | 0.874542i | −0.234990 | + | 0.0337865i | ||||
\(671\) | 0.880444 | − | 0.402085i | 0.0339892 | − | 0.0155223i | ||||
\(672\) | 0.155640 | + | 18.9137i | 0.00600394 | + | 0.729613i | ||||
\(673\) | 16.0175 | − | 35.0735i | 0.617430 | − | 1.35198i | −0.299945 | − | 0.953957i | \(-0.596968\pi\) |
0.917374 | − | 0.398026i | \(-0.130305\pi\) | |||||||
\(674\) | 12.0923 | + | 10.4780i | 0.465777 | + | 0.403598i | ||||
\(675\) | −3.63230 | − | 0.522246i | −0.139807 | − | 0.0201013i | ||||
\(676\) | 11.0543 | − | 3.24583i | 0.425165 | − | 0.124840i | ||||
\(677\) | −21.2009 | − | 24.4671i | −0.814816 | − | 0.940347i | 0.184280 | − | 0.982874i | \(-0.441005\pi\) |
−0.999095 | + | 0.0425266i | \(0.986459\pi\) | |||||||
\(678\) | −21.8370 | + | 14.0338i | −0.838644 | + | 0.538964i | ||||
\(679\) | 12.3595 | − | 14.5031i | 0.474316 | − | 0.556578i | ||||
\(680\) | −7.86269 | − | 9.07403i | −0.301521 | − | 0.347973i | ||||
\(681\) | 1.13648 | + | 3.87049i | 0.0435500 | + | 0.148318i | ||||
\(682\) | −0.200937 | + | 1.39755i | −0.00769427 | + | 0.0535148i | ||||
\(683\) | 6.60020 | − | 7.61703i | 0.252550 | − | 0.291458i | −0.615291 | − | 0.788300i | \(-0.710962\pi\) |
0.867841 | + | 0.496842i | \(0.165507\pi\) | |||||||
\(684\) | 0.616368 | − | 1.34966i | 0.0235674 | − | 0.0516054i | ||||
\(685\) | 1.07994 | − | 3.67794i | 0.0412625 | − | 0.140527i | ||||
\(686\) | 39.4977 | + | 10.5459i | 1.50803 | + | 0.402643i | ||||
\(687\) | 21.7938 | − | 3.13347i | 0.831484 | − | 0.119549i | ||||
\(688\) | −7.54033 | + | 11.7330i | −0.287472 | + | 0.447315i | ||||
\(689\) | −30.9366 | −1.17859 | ||||||||
\(690\) | 8.20253 | − | 9.04481i | 0.312265 | − | 0.344330i | ||||
\(691\) | 47.5765i | 1.80990i | 0.425523 | + | 0.904948i | \(0.360090\pi\) | ||||
−0.425523 | + | 0.904948i | \(0.639910\pi\) | |||||||
\(692\) | 8.90775 | − | 13.8607i | 0.338622 | − | 0.526906i | ||||
\(693\) | −0.435974 | + | 0.203455i | −0.0165613 | + | 0.00772862i | ||||
\(694\) | 3.96232 | + | 8.67626i | 0.150408 | + | 0.329346i | ||||
\(695\) | 3.47474 | − | 11.8339i | 0.131804 | − | 0.448884i | ||||
\(696\) | −14.6462 | − | 6.68870i | −0.555163 | − | 0.253534i | ||||
\(697\) | 38.5581 | + | 33.4108i | 1.46049 | + | 1.26552i | ||||
\(698\) | −28.5342 | − | 4.10259i | −1.08003 | − | 0.155285i | ||||
\(699\) | −1.13082 | − | 3.85123i | −0.0427717 | − | 0.145667i | ||||
\(700\) | −23.5855 | − | 14.8847i | −0.891448 | − | 0.562588i | ||||
\(701\) | 21.7919 | + | 33.9089i | 0.823069 | + | 1.28072i | 0.957104 | + | 0.289744i | \(0.0935702\pi\) |
−0.134035 | + | 0.990977i | \(0.542793\pi\) | |||||||
\(702\) | −7.65890 | + | 4.92208i | −0.289066 | + | 0.185772i | ||||
\(703\) | −0.192779 | + | 0.167044i | −0.00727080 | + | 0.00630019i | ||||
\(704\) | −0.655419 | − | 2.23215i | −0.0247021 | − | 0.0841275i | ||||
\(705\) | 0.641875 | − | 4.46434i | 0.0241744 | − | 0.168137i | ||||
\(706\) | −22.0292 | − | 19.0884i | −0.829081 | − | 0.718403i | ||||
\(707\) | −14.0772 | − | 1.90591i | −0.529429 | − | 0.0716790i | ||||
\(708\) | 12.0183 | + | 3.52889i | 0.451675 | + | 0.132624i | ||||
\(709\) | 31.5689 | − | 14.4170i | 1.18559 | − | 0.541443i | 0.277711 | − | 0.960665i | \(-0.410424\pi\) |
0.907884 | + | 0.419222i | \(0.137697\pi\) | |||||||
\(710\) | −3.40896 | − | 23.7099i | −0.127936 | − | 0.889815i | ||||
\(711\) | 2.14003 | − | 3.32995i | 0.0802574 | − | 0.124883i | ||||
\(712\) | 35.0270 | 1.31269 | ||||||||
\(713\) | 2.77754 | − | 16.6391i | 0.104020 | − | 0.623141i | ||||
\(714\) | −9.14164 | − | 30.2117i | −0.342117 | − | 1.13064i | ||||
\(715\) | 0.727723 | + | 0.467679i | 0.0272153 | + | 0.0174902i | ||||
\(716\) | −3.84472 | − | 26.7406i | −0.143684 | − | 0.999344i | ||||
\(717\) | −11.5785 | + | 5.28774i | −0.432409 | + | 0.197474i | ||||
\(718\) | 8.20934 | − | 27.9585i | 0.306370 | − | 1.04340i | ||||
\(719\) | 45.7299 | + | 20.8841i | 1.70544 | + | 0.778847i | 0.997353 | + | 0.0727180i | \(0.0231673\pi\) |
0.708084 | + | 0.706129i | \(0.249560\pi\) | |||||||
\(720\) | −1.12811 | + | 1.30191i | −0.0420422 | + | 0.0485192i | ||||
\(721\) | −2.35186 | − | 15.4537i | −0.0875877 | − | 0.575526i | ||||
\(722\) | −39.6764 | + | 11.6500i | −1.47660 | + | 0.433569i | ||||
\(723\) | 15.2965 | − | 13.2545i | 0.568882 | − | 0.492939i | ||||
\(724\) | 16.1005 | − | 10.3472i | 0.598370 | − | 0.384549i | ||||
\(725\) | −25.8073 | + | 16.5853i | −0.958458 | + | 0.615964i | ||||
\(726\) | −18.2954 | + | 15.8530i | −0.679005 | + | 0.588361i | ||||
\(727\) | −46.9637 | + | 13.7898i | −1.74179 | + | 0.511434i | −0.989138 | − | 0.146989i | \(-0.953042\pi\) |
−0.752647 | + | 0.658424i | \(0.771223\pi\) | |||||||
\(728\) | −20.7782 | + | 3.16217i | −0.770091 | + | 0.117198i | ||||
\(729\) | 0.654861 | − | 0.755750i | 0.0242541 | − | 0.0279907i | ||||
\(730\) | −14.9919 | − | 6.84657i | −0.554875 | − | 0.253403i | ||||
\(731\) | 14.2190 | − | 48.4255i | 0.525909 | − | 1.79108i | ||||
\(732\) | −13.9083 | + | 6.35170i | −0.514065 | + | 0.234766i | ||||
\(733\) | 7.12408 | + | 49.5491i | 0.263134 | + | 1.83014i | 0.508921 | + | 0.860813i | \(0.330044\pi\) |
−0.245788 | + | 0.969324i | \(0.579047\pi\) | |||||||
\(734\) | 36.1566 | + | 23.2365i | 1.33457 | + | 0.857673i | ||||
\(735\) | 4.47623 | + | 6.71939i | 0.165108 | + | 0.247849i | ||||
\(736\) | 8.91329 | + | 33.1063i | 0.328548 | + | 1.22032i | ||||
\(737\) | 0.438901 | 0.0161671 | ||||||||
\(738\) | −11.2656 | + | 17.5296i | −0.414692 | + | 0.645274i | ||||
\(739\) | −2.65326 | − | 18.4538i | −0.0976016 | − | 0.678834i | −0.978609 | − | 0.205731i | \(-0.934043\pi\) |
0.881007 | − | 0.473103i | \(-0.156866\pi\) | |||||||
\(740\) | −1.48836 | + | 0.679711i | −0.0547132 | + | 0.0249867i | ||||
\(741\) | −2.04406 | − | 0.600189i | −0.0750903 | − | 0.0220485i | ||||
\(742\) | 43.4104 | + | 5.87730i | 1.59365 | + | 0.215762i | ||||
\(743\) | 14.8752 | + | 12.8894i | 0.545717 | + | 0.472867i | 0.883548 | − | 0.468340i | \(-0.155148\pi\) |
−0.337831 | + | 0.941207i | \(0.609693\pi\) | |||||||
\(744\) | 0.964172 | − | 6.70596i | 0.0353483 | − | 0.245852i | ||||
\(745\) | 1.26330 | + | 4.30240i | 0.0462837 | + | 0.157628i | ||||
\(746\) | 56.6362 | − | 49.0756i | 2.07360 | − | 1.79678i | ||||
\(747\) | 7.56088 | − | 4.85908i | 0.276638 | − | 0.177784i | ||||
\(748\) | 1.52631 | + | 2.37499i | 0.0558075 | + | 0.0868382i | ||||
\(749\) | 17.4544 | − | 27.6574i | 0.637770 | − | 1.01058i | ||||
\(750\) | −6.21869 | − | 21.1789i | −0.227075 | − | 0.773345i | ||||
\(751\) | 36.0102 | + | 5.17749i | 1.31403 | + | 0.188929i | 0.763458 | − | 0.645857i | \(-0.223500\pi\) |
0.550574 | + | 0.834786i | \(0.314409\pi\) | |||||||
\(752\) | 4.41384 | + | 3.82461i | 0.160956 | + | 0.139469i | ||||
\(753\) | 3.01008 | + | 1.37466i | 0.109693 | + | 0.0500953i | ||||
\(754\) | −21.4421 | + | 73.0249i | −0.780874 | + | 2.65941i | ||||
\(755\) | −9.60087 | − | 21.0230i | −0.349412 | − | 0.765104i | ||||
\(756\) | 6.88704 | − | 3.21396i | 0.250479 | − | 0.116891i | ||||
\(757\) | −8.12756 | + | 12.6467i | −0.295401 | + | 0.459653i | −0.956952 | − | 0.290247i | \(-0.906262\pi\) |
0.661550 | + | 0.749901i | \(0.269899\pi\) | |||||||
\(758\) | − | 0.537475i | − | 0.0195220i | ||||||
\(759\) | −0.671819 | + | 0.556054i | −0.0243855 | + | 0.0201835i | ||||
\(760\) | 1.14747 | 0.0416231 | ||||||||
\(761\) | 4.05170 | − | 6.30456i | 0.146874 | − | 0.228540i | −0.760020 | − | 0.649900i | \(-0.774811\pi\) |
0.906894 | + | 0.421360i | \(0.138447\pi\) | |||||||
\(762\) | 18.0503 | − | 2.59523i | 0.653892 | − | 0.0940154i | ||||
\(763\) | 40.0745 | − | 35.3063i | 1.45080 | − | 1.27817i | ||||
\(764\) | −7.14605 | + | 24.3372i | −0.258535 | + | 0.880489i | ||||
\(765\) | 2.58962 | − | 5.67047i | 0.0936278 | − | 0.205016i | ||||
\(766\) | −20.9696 | + | 24.2002i | −0.757664 | + | 0.874390i | ||||
\(767\) | 2.55944 | − | 17.8013i | 0.0924160 | − | 0.642767i | ||||
\(768\) | 1.46183 | + | 4.97852i | 0.0527491 | + | 0.179647i | ||||
\(769\) | 15.1660 | + | 17.5025i | 0.546901 | + | 0.631157i | 0.960158 | − | 0.279457i | \(-0.0901545\pi\) |
−0.413257 | + | 0.910614i | \(0.635609\pi\) | |||||||
\(770\) | −0.932297 | − | 0.794503i | −0.0335977 | − | 0.0286319i | ||||
\(771\) | −3.94634 | + | 2.53616i | −0.142124 | + | 0.0913376i | ||||
\(772\) | −23.4456 | − | 27.0576i | −0.843824 | − | 0.973825i | ||||
\(773\) | −21.7140 | + | 6.37579i | −0.780997 | + | 0.229321i | −0.647843 | − | 0.761774i | \(-0.724329\pi\) |
−0.133154 | + | 0.991095i | \(0.542510\pi\) | |||||||
\(774\) | 20.4031 | + | 2.93352i | 0.733374 | + | 0.105443i | ||||
\(775\) | −9.75524 | − | 8.45297i | −0.350419 | − | 0.303640i | ||||
\(776\) | 5.76255 | − | 12.6182i | 0.206863 | − | 0.452968i | ||||
\(777\) | −1.30655 | + | 0.0107515i | −0.0468723 | + | 0.000385709i | ||||
\(778\) | 54.5289 | − | 24.9025i | 1.95496 | − | 0.892799i | ||||
\(779\) | −4.82629 | + | 0.693916i | −0.172920 | + | 0.0248621i | ||||
\(780\) | −11.4958 | − | 7.38788i | −0.411615 | − | 0.264529i | ||||
\(781\) | 1.71083i | 0.0612185i | ||||||||
\(782\) | −29.8372 | − | 48.8195i | −1.06698 | − | 1.74578i | ||||
\(783\) | − | 8.35969i | − | 0.298751i | ||||||
\(784\) | −10.4534 | + | 0.172053i | −0.373337 | + | 0.00614476i | ||||
\(785\) | 0.522662 | + | 3.63519i | 0.0186546 | + | 0.129746i | ||||
\(786\) | −8.13261 | − | 17.8079i | −0.290081 | − | 0.635188i | ||||
\(787\) | −25.6891 | − | 7.54301i | −0.915718 | − | 0.268879i | −0.210272 | − | 0.977643i | \(-0.567435\pi\) |
−0.705446 | + | 0.708764i | \(0.749253\pi\) | |||||||
\(788\) | −24.4884 | + | 53.6220i | −0.872362 | + | 1.91021i | ||||
\(789\) | −8.21162 | + | 9.47672i | −0.292341 | + | 0.337380i | ||||
\(790\) | 9.97535 | + | 1.43424i | 0.354907 | + | 0.0510279i | ||||
\(791\) | −17.0356 | − | 26.0343i | −0.605715 | − | 0.925673i | ||||
\(792\) | −0.264693 | + | 0.229358i | −0.00940547 | + | 0.00814989i | ||||
\(793\) | 11.8689 | + | 18.4684i | 0.421477 | + | 0.655830i | ||||
\(794\) | 16.2754 | + | 25.3250i | 0.577593 | + | 0.898752i | ||||
\(795\) | 5.66555 | + | 6.53839i | 0.200936 | + | 0.231893i | ||||
\(796\) | 0.643827 | − | 0.189045i | 0.0228199 | − | 0.00670052i | ||||
\(797\) | 0.237894 | − | 1.65459i | 0.00842663 | − | 0.0586085i | −0.985174 | − | 0.171557i | \(-0.945120\pi\) |
0.993601 | + | 0.112948i | \(0.0360294\pi\) | |||||||
\(798\) | 2.75421 | + | 1.23052i | 0.0974980 | + | 0.0435598i | ||||
\(799\) | −19.2245 | − | 8.77953i | −0.680114 | − | 0.310597i | ||||
\(800\) | 25.1715 | + | 7.39103i | 0.889948 | + | 0.261312i | ||||
\(801\) | 7.55467 | + | 16.5424i | 0.266931 | + | 0.584497i | ||||
\(802\) | −29.9336 | + | 4.30380i | −1.05699 | + | 0.151972i | ||||
\(803\) | 0.990270 | + | 0.636408i | 0.0349459 | + | 0.0224584i | ||||
\(804\) | −6.93327 | −0.244517 | ||||||||
\(805\) | 10.9216 | + | 9.74193i | 0.384934 | + | 0.343358i | ||||
\(806\) | −32.0239 | −1.12799 | ||||||||
\(807\) | 15.8619 | + | 10.1938i | 0.558365 | + | 0.358839i | ||||
\(808\) | −10.2362 | + | 1.47174i | −0.360108 | + | 0.0517758i | ||||
\(809\) | −11.6184 | − | 25.4407i | −0.408480 | − | 0.894446i | −0.996340 | − | 0.0854832i | \(-0.972757\pi\) |
0.587860 | − | 0.808963i | \(-0.299971\pi\) | |||||||
\(810\) | 2.44288 | + | 0.717294i | 0.0858341 | + | 0.0252032i | ||||
\(811\) | 1.77460 | + | 0.810431i | 0.0623145 | + | 0.0284581i | 0.446329 | − | 0.894869i | \(-0.352731\pi\) |
−0.384014 | + | 0.923327i | \(0.625459\pi\) | |||||||
\(812\) | 25.9166 | − | 58.0079i | 0.909493 | − | 2.03568i | ||||
\(813\) | −4.47624 | + | 31.1329i | −0.156988 | + | 1.09188i | ||||
\(814\) | 0.190199 | − | 0.0558475i | 0.00666647 | − | 0.00195745i | ||||
\(815\) | 12.6264 | + | 14.5716i | 0.442284 | + | 0.510422i | ||||
\(816\) | 4.36415 | + | 6.79075i | 0.152776 | + | 0.237724i | ||||
\(817\) | 2.60771 | + | 4.05768i | 0.0912323 | + | 0.141960i | ||||
\(818\) | −13.8886 | + | 12.0345i | −0.485602 | + | 0.420776i | ||||
\(819\) | −5.97489 | − | 9.13103i | −0.208780 | − | 0.319064i | ||||
\(820\) | −30.9581 | − | 4.45110i | −1.08110 | − | 0.155439i | ||||
\(821\) | 5.51599 | − | 6.36579i | 0.192509 | − | 0.222168i | −0.651286 | − | 0.758832i | \(-0.725770\pi\) |
0.843796 | + | 0.536664i | \(0.180316\pi\) | |||||||
\(822\) | 3.04749 | − | 6.67306i | 0.106293 | − | 0.232750i | ||||
\(823\) | −14.2944 | − | 4.19721i | −0.498271 | − | 0.146306i | 0.0229343 | − | 0.999737i | \(-0.492699\pi\) |
−0.521205 | + | 0.853431i | \(0.674517\pi\) | |||||||
\(824\) | −4.72723 | − | 10.3512i | −0.164681 | − | 0.360601i | ||||
\(825\) | 0.0949667 | + | 0.660508i | 0.00330632 | + | 0.0229959i | ||||
\(826\) | −6.97330 | + | 24.4927i | −0.242632 | + | 0.852209i | ||||
\(827\) | 38.7585i | 1.34777i | 0.738838 | + | 0.673883i | \(0.235375\pi\) | ||||
−0.738838 | + | 0.673883i | \(0.764625\pi\) | |||||||
\(828\) | 10.6126 | − | 8.78393i | 0.368815 | − | 0.305263i | ||||
\(829\) | − | 12.5550i | − | 0.436054i | −0.975943 | − | 0.218027i | \(-0.930038\pi\) | ||
0.975943 | − | 0.218027i | \(-0.0699621\pi\) | |||||||
\(830\) | 19.2501 | + | 12.3713i | 0.668180 | + | 0.429413i | ||||
\(831\) | 3.70019 | − | 0.532007i | 0.128358 | − | 0.0184551i | ||||
\(832\) | 47.9969 | − | 21.9194i | 1.66399 | − | 0.759920i | ||||
\(833\) | 36.1200 | − | 11.2547i | 1.25148 | − | 0.389952i | ||||
\(834\) | 9.80536 | − | 21.4707i | 0.339532 | − | 0.743471i | ||||
\(835\) | −12.5529 | − | 10.8772i | −0.434412 | − | 0.376420i | ||||
\(836\) | −0.267061 | − | 0.0383976i | −0.00923650 | − | 0.00132801i | ||||
\(837\) | 3.37502 | − | 0.990996i | 0.116658 | − | 0.0342538i | ||||
\(838\) | −7.04381 | − | 8.12899i | −0.243324 | − | 0.280811i | ||||
\(839\) | −23.9856 | + | 15.4146i | −0.828074 | + | 0.532171i | −0.884665 | − | 0.466227i | \(-0.845613\pi\) |
0.0565913 | + | 0.998397i | \(0.481977\pi\) | |||||||
\(840\) | 4.47352 | + | 3.81233i | 0.154351 | + | 0.131538i | ||||
\(841\) | −26.7736 | − | 30.8984i | −0.923227 | − | 1.06546i | ||||
\(842\) | −16.9231 | − | 57.6347i | −0.583208 | − | 1.98622i | ||||
\(843\) | 0.0741544 | − | 0.515755i | 0.00255401 | − | 0.0177635i | ||||
\(844\) | −19.6179 | + | 22.6402i | −0.675275 | + | 0.779309i | ||||
\(845\) | −1.92170 | + | 4.20793i | −0.0661085 | + | 0.144757i | ||||
\(846\) | 2.43183 | − | 8.28206i | 0.0836081 | − | 0.284743i | ||||
\(847\) | −19.1811 | − | 21.7716i | −0.659070 | − | 0.748080i | ||||
\(848\) | −11.0889 | + | 1.59434i | −0.380794 | + | 0.0547499i | ||||
\(849\) | −11.1482 | + | 17.3470i | −0.382606 | + | 0.595346i | ||||
\(850\) | −43.7799 | −1.50164 | ||||||||
\(851\) | −2.28697 | + | 0.615726i | −0.0783963 | + | 0.0211068i | ||||
\(852\) | − | 27.0259i | − | 0.925891i | ||||||
\(853\) | 0.156822 | − | 0.244020i | 0.00536948 | − | 0.00835508i | −0.838558 | − | 0.544812i | \(-0.816601\pi\) |
0.843928 | + | 0.536457i | \(0.180237\pi\) | |||||||
\(854\) | −13.1459 | − | 28.1698i | −0.449844 | − | 0.963949i | ||||
\(855\) | 0.247488 | + | 0.541923i | 0.00846391 | + | 0.0185334i | ||||
\(856\) | 6.70757 | − | 22.8439i | 0.229260 | − | 0.780788i | ||||
\(857\) | −17.1735 | − | 7.84288i | −0.586636 | − | 0.267908i | 0.0999070 | − | 0.994997i | \(-0.468145\pi\) |
−0.686543 | + | 0.727089i | \(0.740873\pi\) | |||||||
\(858\) | 1.25116 | + | 1.08414i | 0.0427140 | + | 0.0370119i | ||||
\(859\) | −17.5304 | − | 2.52049i | −0.598129 | − | 0.0859980i | −0.163401 | − | 0.986560i | \(-0.552246\pi\) |
−0.434728 | + | 0.900562i | \(0.643156\pi\) | |||||||
\(860\) | 8.71662 | + | 29.6861i | 0.297234 | + | 1.01229i | ||||
\(861\) | −21.1212 | − | 13.3295i | −0.719809 | − | 0.454268i | ||||
\(862\) | 23.4004 | + | 36.4117i | 0.797021 | + | 1.24019i | ||||
\(863\) | 14.3305 | − | 9.20968i | 0.487817 | − | 0.313501i | −0.273510 | − | 0.961869i | \(-0.588185\pi\) |
0.761327 | + | 0.648368i | \(0.224548\pi\) | |||||||
\(864\) | −5.40282 | + | 4.68157i | −0.183808 | + | 0.159270i | ||||
\(865\) | 1.86385 | + | 6.34768i | 0.0633727 | + | 0.215828i | ||||
\(866\) | −2.19234 | + | 15.2480i | −0.0744986 | + | 0.518149i | ||||
\(867\) | −9.22823 | − | 7.99631i | −0.313407 | − | 0.271569i | ||||
\(868\) | 26.4916 | + | 3.58667i | 0.899182 | + | 0.121740i | ||||
\(869\) | −0.690636 | − | 0.202789i | −0.0234282 | − | 0.00687914i | ||||
\(870\) | 19.3605 | − | 8.84164i | 0.656382 | − | 0.299760i | ||||
\(871\) | 1.41671 | + | 9.85345i | 0.0480034 | + | 0.333871i | ||||
\(872\) | 21.0205 | − | 32.7085i | 0.711843 | − | 1.10765i | ||||
\(873\) | 7.20217 | 0.243756 | ||||||||
\(874\) | 5.39342 | + | 0.900311i | 0.182435 | + | 0.0304535i | ||||
\(875\) | 25.3227 | − | 7.66230i | 0.856062 | − | 0.259033i | ||||
\(876\) | −15.6432 | − | 10.0533i | −0.528535 | − | 0.339669i | ||||
\(877\) | 4.91141 | + | 34.1596i | 0.165846 | + | 1.15349i | 0.887357 | + | 0.461083i | \(0.152539\pi\) |
−0.721510 | + | 0.692404i | \(0.756552\pi\) | |||||||
\(878\) | −47.8902 | + | 21.8707i | −1.61622 | + | 0.738101i | ||||
\(879\) | −9.40261 | + | 32.0224i | −0.317142 | + | 1.08009i | ||||
\(880\) | 0.284947 | + | 0.130131i | 0.00960556 | + | 0.00438671i | ||||
\(881\) | −3.93826 | + | 4.54500i | −0.132683 | + | 0.153125i | −0.818203 | − | 0.574929i | \(-0.805030\pi\) |
0.685520 | + | 0.728054i | \(0.259575\pi\) | |||||||
\(882\) | 6.64930 | + | 13.9478i | 0.223894 | + | 0.469648i | ||||
\(883\) | 40.5792 | − | 11.9151i | 1.36560 | − | 0.400976i | 0.484866 | − | 0.874589i | \(-0.338869\pi\) |
0.880733 | + | 0.473613i | \(0.157050\pi\) | |||||||
\(884\) | −48.3925 | + | 41.9323i | −1.62762 | + | 1.41034i | ||||
\(885\) | −4.23100 | + | 2.71910i | −0.142223 | + | 0.0914014i | ||||
\(886\) | −57.0077 | + | 36.6366i | −1.91521 | + | 1.23083i | ||||
\(887\) | −40.2463 | + | 34.8736i | −1.35134 | + | 1.17094i | −0.382297 | + | 0.924040i | \(0.624867\pi\) |
−0.969041 | + | 0.246901i | \(0.920588\pi\) | |||||||
\(888\) | −0.912648 | + | 0.267978i | −0.0306265 | + | 0.00899274i | ||||
\(889\) | 3.28854 | + | 21.6085i | 0.110294 | + | 0.724727i | ||||
\(890\) | −30.3209 | + | 34.9922i | −1.01636 | + | 1.17294i | ||||
\(891\) | −0.165410 | − | 0.0755402i | −0.00554144 | − | 0.00253069i | ||||
\(892\) | 14.8056 | − | 50.4232i | 0.495728 | − | 1.68830i | ||||
\(893\) | 1.83727 | − | 0.839055i | 0.0614820 | − | 0.0280779i | ||||
\(894\) | 1.22128 | + | 8.49419i | 0.0408457 | + | 0.284088i | ||||
\(895\) | 9.12549 | + | 5.86460i | 0.305031 | + | 0.196032i | ||||
\(896\) | −35.3063 | + | 10.6832i | −1.17950 | + | 0.356901i | ||||
\(897\) | −14.6521 | − | 13.2877i | −0.489220 | − | 0.443662i | ||||
\(898\) | −54.5725 | −1.82111 | ||||||||
\(899\) | 15.8977 | − | 24.7373i | 0.530217 | − | 0.825035i | ||||
\(900\) | −1.50018 | − | 10.4340i | −0.0500060 | − | 0.347799i | ||||
\(901\) | 36.8763 | − | 16.8408i | 1.22853 | − | 0.561050i | ||||
\(902\) | 3.63566 | + | 1.06753i | 0.121054 | + | 0.0355447i | ||||
\(903\) | −3.31474 | + | 24.4831i | −0.110308 | + | 0.814745i | ||||
\(904\) | −17.1173 | − | 14.8322i | −0.569312 | − | 0.493312i | ||||
\(905\) | −1.09365 | + | 7.60648i | −0.0363540 | + | 0.252848i | ||||
\(906\) | −12.4612 | − | 42.4391i | −0.413997 | − | 1.40995i | ||||
\(907\) | −9.75040 | + | 8.44877i | −0.323757 | + | 0.280537i | −0.801540 | − | 0.597941i | \(-0.795986\pi\) |
0.477784 | + | 0.878478i | \(0.341440\pi\) | |||||||
\(908\) | −9.74808 | + | 6.26471i | −0.323501 | + | 0.207902i | ||||
\(909\) | −2.90283 | − | 4.51689i | −0.0962808 | − | 0.149816i | ||||
\(910\) | 14.8275 | − | 23.4949i | 0.491527 | − | 0.778848i | ||||
\(911\) | −7.11810 | − | 24.2420i | −0.235833 | − | 0.803174i | −0.989326 | − | 0.145718i | \(-0.953451\pi\) |
0.753493 | − | 0.657456i | \(-0.228367\pi\) | |||||||
\(912\) | −0.763602 | − | 0.109789i | −0.0252854 | − | 0.00363549i | ||||
\(913\) | −1.23515 | − | 1.07026i | −0.0408775 | − | 0.0354205i | ||||
\(914\) | −7.72390 | − | 3.52739i | −0.255484 | − | 0.116676i | ||||
\(915\) | 1.72965 | − | 5.89066i | 0.0571806 | − | 0.194739i | ||||
\(916\) | 26.2739 | + | 57.5319i | 0.868116 | + | 1.90091i | ||||
\(917\) | 21.2635 | − | 9.92297i | 0.702182 | − | 0.327685i | ||||
\(918\) | 6.44997 | − | 10.0364i | 0.212881 | − | 0.331249i | ||||
\(919\) | − | 29.2461i | − | 0.964739i | −0.875968 | − | 0.482370i | \(-0.839776\pi\) | ||
0.875968 | − | 0.482370i | \(-0.160224\pi\) | |||||||
\(920\) | 9.58877 | + | 4.64376i | 0.316132 | + | 0.153100i | ||||
\(921\) | −20.2282 | −0.666541 | ||||||||
\(922\) | −20.6189 | + | 32.0836i | −0.679047 | + | 1.05662i | ||||
\(923\) | −38.4087 | + | 5.52234i | −1.26424 | + | 0.181770i | ||||
\(924\) | −0.913592 | − | 1.03698i | −0.0300550 | − | 0.0341140i | ||||
\(925\) | −0.510569 | + | 1.73884i | −0.0167874 | + | 0.0571727i | ||||
\(926\) | −30.4550 | + | 66.6872i | −1.00081 | + | 2.19148i | ||||
\(927\) | 3.86905 | − | 4.46512i | 0.127076 | − | 0.146654i | ||||
\(928\) | −8.50517 | + | 59.1548i | −0.279196 | + | 1.94185i | ||||
\(929\) | 15.6860 | + | 53.4215i | 0.514640 | + | 1.75270i | 0.648004 | + | 0.761637i | \(0.275604\pi\) |
−0.133364 | + | 0.991067i | \(0.542578\pi\) | |||||||
\(930\) | 5.86468 | + | 6.76820i | 0.192310 | + | 0.221938i | ||||
\(931\) | −1.44767 | + | 3.31319i | −0.0474455 | + | 0.108586i | ||||
\(932\) | 9.69957 | − | 6.23353i | 0.317720 | − | 0.204186i | ||||
\(933\) | −19.3765 | − | 22.3617i | −0.634359 | − | 0.732089i | ||||
\(934\) | −16.9929 | + | 4.98956i | −0.556024 | + | 0.163263i | ||||
\(935\) | −1.12203 | − | 0.161324i | −0.0366944 | − | 0.00527586i | ||||
\(936\) | −6.00355 | − | 5.20211i | −0.196232 | − | 0.170036i | ||||
\(937\) | 21.4162 | − | 46.8950i | 0.699637 | − | 1.53199i | −0.140773 | − | 0.990042i | \(-0.544959\pi\) |
0.840411 | − | 0.541950i | \(-0.182314\pi\) | |||||||
\(938\) | −0.115992 | − | 14.0956i | −0.00378726 | − | 0.460237i | ||||
\(939\) | 29.7693 | − | 13.5952i | 0.971484 | − | 0.443662i | ||||
\(940\) | 12.8240 | − | 1.84382i | 0.418274 | − | 0.0601388i | ||||
\(941\) | 10.5316 | + | 6.76823i | 0.343320 | + | 0.220638i | 0.700925 | − | 0.713235i | \(-0.252771\pi\) |
−0.357606 | + | 0.933873i | \(0.616407\pi\) | |||||||
\(942\) | 7.02856i | 0.229003i | ||||||||
\(943\) | −43.1389 | − | 13.7331i | −1.40480 | − | 0.447212i | ||||
\(944\) | − | 6.51259i | − | 0.211967i | ||||||
\(945\) | −0.835619 | + | 2.93499i | −0.0271827 | + | 0.0954752i | ||||
\(946\) | −0.533440 | − | 3.71016i | −0.0173436 | − | 0.120628i | ||||
\(947\) | 4.64235 | + | 10.1653i | 0.150856 | + | 0.330329i | 0.969940 | − | 0.243345i | \(-0.0782448\pi\) |
−0.819084 | + | 0.573674i | \(0.805518\pi\) | |||||||
\(948\) | 10.9099 | + | 3.20343i | 0.354337 | + | 0.104043i | ||||
\(949\) | −11.0911 | + | 24.2861i | −0.360032 | + | 0.788360i | ||||
\(950\) | 2.73995 | − | 3.16207i | 0.0888956 | − | 0.102591i | ||||
\(951\) | 22.7384 | + | 3.26929i | 0.737344 | + | 0.106014i | ||||
\(952\) | 23.0462 | − | 15.0803i | 0.746930 | − | 0.488754i | ||||
\(953\) | −31.5042 | + | 27.2986i | −1.02052 | + | 0.884288i | −0.993326 | − | 0.115343i | \(-0.963203\pi\) |
−0.0271965 | + | 0.999630i | \(0.508658\pi\) | |||||||
\(954\) | 8.95154 | + | 13.9289i | 0.289817 | + | 0.450964i | ||||
\(955\) | −5.50620 | − | 8.56782i | −0.178177 | − | 0.277248i | ||||
\(956\) | −23.9445 | − | 27.6334i | −0.774419 | − | 0.893727i | ||||
\(957\) | −1.45857 | + | 0.428275i | −0.0471489 | + | 0.0138442i | ||||
\(958\) | 0.254857 | − | 1.77257i | 0.00823407 | − | 0.0572692i | ||||
\(959\) | 8.02805 | + | 3.58675i | 0.259239 | + | 0.115822i | ||||
\(960\) | −13.4225 | − | 6.12986i | −0.433210 | − | 0.197840i | ||||
\(961\) | −17.8726 | − | 5.24787i | −0.576536 | − | 0.169286i | ||||
\(962\) | 1.86773 | + | 4.08976i | 0.0602180 | + | 0.131859i | ||||
\(963\) | 12.2353 | − | 1.75917i | 0.394278 | − | 0.0566886i | ||||
\(964\) | 48.9112 | + | 31.4333i | 1.57532 | + | 1.01240i | ||||
\(965\) | 14.3756 | 0.462767 | ||||||||
\(966\) | 18.0356 | + | 21.4289i | 0.580285 | + | 0.689464i | ||||
\(967\) | −23.5532 | −0.757419 | −0.378710 | − | 0.925516i | \(-0.623632\pi\) | ||||
−0.378710 | + | 0.925516i | \(0.623632\pi\) | |||||||
\(968\) | −17.7698 | − | 11.4199i | −0.571141 | − | 0.367050i | ||||
\(969\) | 2.76323 | − | 0.397293i | 0.0887679 | − | 0.0127629i | ||||
\(970\) | 7.61738 | + | 16.6797i | 0.244579 | + | 0.535554i | ||||
\(971\) | −13.7305 | − | 4.03165i | −0.440634 | − | 0.129382i | 0.0538881 | − | 0.998547i | \(-0.482839\pi\) |
−0.494522 | + | 0.869165i | \(0.664657\pi\) | |||||||
\(972\) | 2.61296 | + | 1.19330i | 0.0838109 | + | 0.0382751i | ||||
\(973\) | 25.8305 | + | 11.5404i | 0.828086 | + | 0.369970i | ||||
\(974\) | −0.883372 | + | 6.14399i | −0.0283051 | + | 0.196866i | ||||
\(975\) | −14.5221 | + | 4.26406i | −0.465078 | + | 0.136559i | ||||
\(976\) | 5.20606 | + | 6.00811i | 0.166642 | + | 0.192315i | ||||
\(977\) | −22.8922 | − | 35.6210i | −0.732387 | − | 1.13962i | −0.985084 | − | 0.172072i | \(-0.944954\pi\) |
0.252697 | − | 0.967545i | \(-0.418682\pi\) | |||||||
\(978\) | 19.9497 | + | 31.0423i | 0.637920 | + | 0.992623i | ||||
\(979\) | 2.49924 | − | 2.16560i | 0.0798759 | − | 0.0692129i | ||||
\(980\) | −14.8974 | + | 17.7753i | −0.475879 | + | 0.567811i | ||||
\(981\) | 19.9812 | + | 2.87286i | 0.637950 | + | 0.0917233i | ||||
\(982\) | 8.01483 | − | 9.24961i | 0.255764 | − | 0.295167i | ||||
\(983\) | 11.0524 | − | 24.2014i | 0.352517 | − | 0.771905i | −0.647435 | − | 0.762121i | \(-0.724158\pi\) |
0.999952 | − | 0.00978405i | \(-0.00311441\pi\) | |||||||
\(984\) | −17.4453 | − | 5.12240i | −0.556135 | − | 0.163296i | ||||
\(985\) | −9.83273 | − | 21.5307i | −0.313297 | − | 0.686024i | ||||
\(986\) | −14.1935 | − | 98.7179i | −0.452013 | − | 3.14382i | ||||
\(987\) | 9.95044 | + | 2.83299i | 0.316726 | + | 0.0901750i | ||||
\(988\) | − | 6.11954i | − | 0.194689i | ||||||
\(989\) | 5.36996 | + | 44.4611i | 0.170755 | + | 1.41378i | ||||
\(990\) | − | 0.462974i | − | 0.0147143i | ||||||
\(991\) | 21.7184 | + | 13.9576i | 0.689908 | + | 0.443377i | 0.838053 | − | 0.545589i | \(-0.183694\pi\) |
−0.148145 | + | 0.988966i | \(0.547330\pi\) | |||||||
\(992\) | −24.8906 | + | 3.57872i | −0.790276 | + | 0.113625i | ||||
\(993\) | −11.2414 | + | 5.13378i | −0.356735 | + | 0.162915i | ||||
\(994\) | 54.9445 | − | 0.452135i | 1.74273 | − | 0.0143409i | ||||
\(995\) | −0.111924 | + | 0.245080i | −0.00354824 | + | 0.00776956i | ||||
\(996\) | 19.5115 | + | 16.9068i | 0.618246 | + | 0.535713i | ||||
\(997\) | 12.1463 | + | 1.74637i | 0.384677 | + | 0.0553082i | 0.331941 | − | 0.943300i | \(-0.392297\pi\) |
0.0527362 | + | 0.998608i | \(0.483206\pi\) | |||||||
\(998\) | 70.0323 | − | 20.5633i | 2.21683 | − | 0.650921i | ||||
\(999\) | −0.323401 | − | 0.373225i | −0.0102320 | − | 0.0118083i |
(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 | 483.2.r.a.412.6 | yes | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.412.5 | yes | 320 | |
23.11 | odd | 22 | inner | 483.2.r.a.34.5 | ✓ | 320 | |
161.34 | even | 22 | inner | 483.2.r.a.34.6 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.34.5 | ✓ | 320 | 23.11 | odd | 22 | inner | |
483.2.r.a.34.6 | yes | 320 | 161.34 | even | 22 | inner | |
483.2.r.a.412.5 | yes | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.412.6 | yes | 320 | 1.1 | even | 1 | trivial |