Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,2,Mod(20,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.k (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.17380090971\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 104.5 | ||
Character | \(\chi\) | \(=\) | 147.104 |
Dual form | 147.2.k.a.41.5 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.853995 | − | 0.681038i | −0.603866 | − | 0.481567i | 0.273187 | − | 0.961961i | \(-0.411922\pi\) |
−0.877053 | + | 0.480394i | \(0.840494\pi\) | |||||||
\(3\) | 1.61681 | − | 0.621228i | 0.933466 | − | 0.358666i | ||||
\(4\) | −0.179548 | − | 0.786650i | −0.0897738 | − | 0.393325i | ||||
\(5\) | −2.05139 | − | 0.987900i | −0.917412 | − | 0.441802i | −0.0852653 | − | 0.996358i | \(-0.527174\pi\) |
−0.832146 | + | 0.554556i | \(0.812888\pi\) | |||||||
\(6\) | −1.80383 | − | 0.570584i | −0.736409 | − | 0.232940i | ||||
\(7\) | −1.78522 | − | 1.95269i | −0.674750 | − | 0.738046i | ||||
\(8\) | −1.33027 | + | 2.76233i | −0.470321 | + | 0.976631i | ||||
\(9\) | 2.22815 | − | 2.00881i | 0.742717 | − | 0.669605i | ||||
\(10\) | 1.07908 | + | 2.24074i | 0.341236 | + | 0.708584i | ||||
\(11\) | −0.472840 | − | 0.377077i | −0.142567 | − | 0.113693i | 0.549610 | − | 0.835422i | \(-0.314776\pi\) |
−0.692176 | + | 0.721729i | \(0.743348\pi\) | |||||||
\(12\) | −0.778983 | − | 1.16032i | −0.224873 | − | 0.334957i | ||||
\(13\) | 4.60769 | + | 3.67451i | 1.27794 | + | 1.01913i | 0.998256 | + | 0.0590353i | \(0.0188025\pi\) |
0.279688 | + | 0.960091i | \(0.409769\pi\) | |||||||
\(14\) | 0.194716 | + | 2.88339i | 0.0520400 | + | 0.770618i | ||||
\(15\) | −3.93043 | − | 0.322863i | −1.01483 | − | 0.0833630i | ||||
\(16\) | 1.56335 | − | 0.752869i | 0.390837 | − | 0.188217i | ||||
\(17\) | 1.04497 | − | 4.57829i | 0.253441 | − | 1.11040i | −0.674677 | − | 0.738113i | \(-0.735717\pi\) |
0.928118 | − | 0.372286i | \(-0.121426\pi\) | |||||||
\(18\) | −3.27091 | + | 0.198061i | −0.770961 | + | 0.0466834i | ||||
\(19\) | − | 1.41690i | − | 0.325058i | −0.986704 | − | 0.162529i | \(-0.948035\pi\) | ||
0.986704 | − | 0.162529i | \(-0.0519651\pi\) | |||||||
\(20\) | −0.408808 | + | 1.79110i | −0.0914122 | + | 0.400503i | ||||
\(21\) | −4.09943 | − | 2.04810i | −0.894568 | − | 0.446931i | ||||
\(22\) | 0.146999 | + | 0.644044i | 0.0313403 | + | 0.137311i | ||||
\(23\) | 5.00433 | − | 1.14221i | 1.04348 | − | 0.238166i | 0.333762 | − | 0.942657i | \(-0.391682\pi\) |
0.709713 | + | 0.704491i | \(0.248825\pi\) | |||||||
\(24\) | −0.434756 | + | 5.29257i | −0.0887441 | + | 1.08034i | ||||
\(25\) | 0.114825 | + | 0.143986i | 0.0229651 | + | 0.0287973i | ||||
\(26\) | −1.43246 | − | 6.27603i | −0.280929 | − | 1.23083i | ||||
\(27\) | 2.35457 | − | 4.63206i | 0.453137 | − | 0.891441i | ||||
\(28\) | −1.21555 | + | 1.75494i | −0.229717 | + | 0.331653i | ||||
\(29\) | −0.134934 | − | 0.0307978i | −0.0250566 | − | 0.00571901i | 0.209974 | − | 0.977707i | \(-0.432662\pi\) |
−0.235031 | + | 0.971988i | \(0.575519\pi\) | |||||||
\(30\) | 3.13668 | + | 2.95249i | 0.572677 | + | 0.539049i | ||||
\(31\) | 9.28275i | 1.66723i | 0.552345 | + | 0.833615i | \(0.313733\pi\) | ||||
−0.552345 | + | 0.833615i | \(0.686267\pi\) | |||||||
\(32\) | 4.13035 | + | 0.942725i | 0.730149 | + | 0.166652i | ||||
\(33\) | −0.998743 | − | 0.315921i | −0.173859 | − | 0.0549948i | ||||
\(34\) | −4.01039 | + | 3.19818i | −0.687776 | + | 0.548483i | ||||
\(35\) | 1.73314 | + | 5.76935i | 0.292953 | + | 0.975198i | ||||
\(36\) | −1.98029 | − | 1.39210i | −0.330049 | − | 0.232016i | ||||
\(37\) | 0.542403 | − | 2.37642i | 0.0891706 | − | 0.390682i | −0.910572 | − | 0.413349i | \(-0.864359\pi\) |
0.999743 | + | 0.0226676i | \(0.00721594\pi\) | |||||||
\(38\) | −0.964960 | + | 1.21002i | −0.156537 | + | 0.196291i | ||||
\(39\) | 9.73247 | + | 3.07856i | 1.55844 | + | 0.492965i | ||||
\(40\) | 5.45781 | − | 4.35246i | 0.862956 | − | 0.688184i | ||||
\(41\) | 8.06490 | + | 3.88385i | 1.25953 | + | 0.606556i | 0.940049 | − | 0.341039i | \(-0.110779\pi\) |
0.319477 | + | 0.947594i | \(0.396493\pi\) | |||||||
\(42\) | 2.10606 | + | 4.54093i | 0.324972 | + | 0.700681i | ||||
\(43\) | 3.18417 | − | 1.53342i | 0.485582 | − | 0.233844i | −0.175042 | − | 0.984561i | \(-0.556006\pi\) |
0.660624 | + | 0.750717i | \(0.270292\pi\) | |||||||
\(44\) | −0.211730 | + | 0.439663i | −0.0319196 | + | 0.0662816i | ||||
\(45\) | −6.55533 | + | 1.91968i | −0.977210 | + | 0.286169i | ||||
\(46\) | −5.05156 | − | 2.43270i | −0.744812 | − | 0.358682i | ||||
\(47\) | −3.12720 | + | 3.92139i | −0.456149 | + | 0.571993i | −0.955719 | − | 0.294280i | \(-0.904920\pi\) |
0.499570 | + | 0.866274i | \(0.333491\pi\) | |||||||
\(48\) | 2.05993 | − | 2.18844i | 0.297326 | − | 0.315874i | ||||
\(49\) | −0.625969 | + | 6.97196i | −0.0894241 | + | 0.995994i | ||||
\(50\) | − | 0.201164i | − | 0.0284489i | ||||||
\(51\) | −1.15465 | − | 8.05139i | −0.161683 | − | 1.12742i | ||||
\(52\) | 2.06325 | − | 4.28439i | 0.286122 | − | 0.594138i | ||||
\(53\) | −11.1479 | + | 2.54443i | −1.53128 | + | 0.349504i | −0.903397 | − | 0.428805i | \(-0.858935\pi\) |
−0.627881 | + | 0.778309i | \(0.716078\pi\) | |||||||
\(54\) | −5.16540 | + | 2.35221i | −0.702922 | + | 0.320095i | ||||
\(55\) | 0.597467 | + | 1.24065i | 0.0805624 | + | 0.167290i | ||||
\(56\) | 7.76879 | − | 2.33378i | 1.03815 | − | 0.311864i | ||||
\(57\) | −0.880215 | − | 2.29085i | −0.116587 | − | 0.303431i | ||||
\(58\) | 0.0942585 | + | 0.118196i | 0.0123767 | + | 0.0155200i | ||||
\(59\) | −0.375155 | + | 0.180665i | −0.0488411 | + | 0.0235206i | −0.458145 | − | 0.888878i | \(-0.651486\pi\) |
0.409304 | + | 0.912398i | \(0.365772\pi\) | |||||||
\(60\) | 0.451719 | + | 3.14984i | 0.0583166 | + | 0.406642i | ||||
\(61\) | 3.90669 | + | 0.891676i | 0.500200 | + | 0.114167i | 0.465174 | − | 0.885219i | \(-0.345992\pi\) |
0.0350255 | + | 0.999386i | \(0.488849\pi\) | |||||||
\(62\) | 6.32191 | − | 7.92742i | 0.802883 | − | 1.00678i | ||||
\(63\) | −7.90033 | − | 0.764704i | −0.995348 | − | 0.0963436i | ||||
\(64\) | −5.04901 | − | 6.33125i | −0.631126 | − | 0.791407i | ||||
\(65\) | −5.82215 | − | 12.0898i | −0.722148 | − | 1.49956i | ||||
\(66\) | 0.637767 | + | 0.949977i | 0.0785037 | + | 0.116934i | ||||
\(67\) | −10.4135 | −1.27221 | −0.636103 | − | 0.771604i | \(-0.719455\pi\) | ||||
−0.636103 | + | 0.771604i | \(0.719455\pi\) | |||||||
\(68\) | −3.78913 | −0.459500 | ||||||||
\(69\) | 7.38148 | − | 4.95556i | 0.888626 | − | 0.596579i | ||||
\(70\) | 2.44906 | − | 6.10733i | 0.292718 | − | 0.729965i | ||||
\(71\) | −1.75935 | + | 0.401561i | −0.208797 | + | 0.0476565i | −0.325640 | − | 0.945494i | \(-0.605580\pi\) |
0.116843 | + | 0.993150i | \(0.462723\pi\) | |||||||
\(72\) | 2.58497 | + | 8.82716i | 0.304642 | + | 1.04029i | ||||
\(73\) | 5.31680 | − | 4.24001i | 0.622284 | − | 0.496255i | −0.260847 | − | 0.965380i | \(-0.584002\pi\) |
0.883132 | + | 0.469125i | \(0.155431\pi\) | |||||||
\(74\) | −2.08165 | + | 1.66006i | −0.241986 | + | 0.192978i | ||||
\(75\) | 0.275099 | + | 0.161466i | 0.0317657 | + | 0.0186445i | ||||
\(76\) | −1.11460 | + | 0.254400i | −0.127853 | + | 0.0291817i | ||||
\(77\) | 0.107810 | + | 1.59647i | 0.0122861 | + | 0.181935i | ||||
\(78\) | −6.21486 | − | 9.25726i | −0.703695 | − | 1.04818i | ||||
\(79\) | −8.03936 | −0.904498 | −0.452249 | − | 0.891892i | \(-0.649378\pi\) | ||||
−0.452249 | + | 0.891892i | \(0.649378\pi\) | |||||||
\(80\) | −3.95080 | −0.441713 | ||||||||
\(81\) | 0.929326 | − | 8.95189i | 0.103258 | − | 0.994655i | ||||
\(82\) | −4.24233 | − | 8.80929i | −0.468487 | − | 0.972824i | ||||
\(83\) | −4.94260 | − | 6.19782i | −0.542521 | − | 0.680300i | 0.432699 | − | 0.901539i | \(-0.357561\pi\) |
−0.975220 | + | 0.221239i | \(0.928990\pi\) | |||||||
\(84\) | −0.875091 | + | 3.59254i | −0.0954802 | + | 0.391979i | ||||
\(85\) | −6.66653 | + | 8.35956i | −0.723087 | + | 0.906722i | ||||
\(86\) | −3.76358 | − | 0.859013i | −0.405838 | − | 0.0926298i | ||||
\(87\) | −0.237295 | + | 0.0340305i | −0.0254407 | + | 0.00364846i | ||||
\(88\) | 1.67062 | − | 0.804526i | 0.178088 | − | 0.0857628i | ||||
\(89\) | 8.75814 | + | 10.9824i | 0.928361 | + | 1.16413i | 0.986159 | + | 0.165799i | \(0.0530204\pi\) |
−0.0577987 | + | 0.998328i | \(0.518408\pi\) | |||||||
\(90\) | 6.90559 | + | 2.82503i | 0.727913 | + | 0.297784i | ||||
\(91\) | −1.05058 | − | 15.5572i | −0.110131 | − | 1.63084i | ||||
\(92\) | −1.79703 | − | 3.73158i | −0.187354 | − | 0.389044i | ||||
\(93\) | 5.76670 | + | 15.0084i | 0.597979 | + | 1.55630i | ||||
\(94\) | 5.34123 | − | 1.21910i | 0.550906 | − | 0.125741i | ||||
\(95\) | −1.39975 | + | 2.90661i | −0.143611 | + | 0.298212i | ||||
\(96\) | 7.26364 | − | 1.04168i | 0.741342 | − | 0.106316i | ||||
\(97\) | 4.10147i | 0.416441i | 0.978082 | + | 0.208220i | \(0.0667671\pi\) | ||||
−0.978082 | + | 0.208220i | \(0.933233\pi\) | |||||||
\(98\) | 5.28274 | − | 5.52771i | 0.533637 | − | 0.558383i | ||||
\(99\) | −1.81104 | + | 0.109662i | −0.182016 | + | 0.0110215i | ||||
\(100\) | 0.0926503 | − | 0.116180i | 0.00926503 | − | 0.0116180i | ||||
\(101\) | 15.9501 | + | 7.68115i | 1.58709 | + | 0.764303i | 0.999009 | − | 0.0444986i | \(-0.0141690\pi\) |
0.588082 | + | 0.808801i | \(0.299883\pi\) | |||||||
\(102\) | −4.49724 | + | 7.66221i | −0.445293 | + | 0.758672i | ||||
\(103\) | 1.82266 | − | 3.78478i | 0.179592 | − | 0.372926i | −0.791667 | − | 0.610953i | \(-0.790786\pi\) |
0.971259 | + | 0.238027i | \(0.0765007\pi\) | |||||||
\(104\) | −16.2797 | + | 7.83988i | −1.59635 | + | 0.768764i | ||||
\(105\) | 6.38623 | + | 8.25127i | 0.623232 | + | 0.805242i | ||||
\(106\) | 11.2531 | + | 5.41920i | 1.09300 | + | 0.526359i | ||||
\(107\) | 2.38890 | − | 1.90509i | 0.230944 | − | 0.184172i | −0.501180 | − | 0.865343i | \(-0.667101\pi\) |
0.732124 | + | 0.681171i | \(0.238529\pi\) | |||||||
\(108\) | −4.06657 | − | 1.02054i | −0.391306 | − | 0.0982020i | ||||
\(109\) | −5.36343 | + | 6.72552i | −0.513723 | + | 0.644188i | −0.969263 | − | 0.246027i | \(-0.920875\pi\) |
0.455540 | + | 0.890215i | \(0.349446\pi\) | |||||||
\(110\) | 0.334698 | − | 1.46641i | 0.0319122 | − | 0.139817i | ||||
\(111\) | −0.599337 | − | 4.17918i | −0.0568866 | − | 0.396671i | ||||
\(112\) | −4.26104 | − | 1.70869i | −0.402630 | − | 0.161456i | ||||
\(113\) | 2.71288 | − | 2.16345i | 0.255207 | − | 0.203521i | −0.487526 | − | 0.873108i | \(-0.662101\pi\) |
0.742733 | + | 0.669588i | \(0.233529\pi\) | |||||||
\(114\) | −0.808458 | + | 2.55584i | −0.0757191 | + | 0.239376i | ||||
\(115\) | −11.3942 | − | 2.60066i | −1.06252 | − | 0.242513i | ||||
\(116\) | 0.111676i | 0.0103688i | ||||||||
\(117\) | 17.6481 | − | 1.06863i | 1.63156 | − | 0.0987947i | ||||
\(118\) | 0.443421 | + | 0.101208i | 0.0408202 | + | 0.00931694i | ||||
\(119\) | −10.8055 | + | 6.13278i | −0.990535 | + | 0.562191i | ||||
\(120\) | 6.12038 | − | 10.4276i | 0.558712 | − | 0.951909i | ||||
\(121\) | −2.36634 | − | 10.3676i | −0.215122 | − | 0.942510i | ||||
\(122\) | −2.72903 | − | 3.42209i | −0.247074 | − | 0.309821i | ||||
\(123\) | 15.4522 | + | 1.26931i | 1.39328 | + | 0.114450i | ||||
\(124\) | 7.30227 | − | 1.66670i | 0.655763 | − | 0.149674i | ||||
\(125\) | 2.43996 | + | 10.6901i | 0.218236 | + | 0.956155i | ||||
\(126\) | 6.22605 | + | 6.03348i | 0.554661 | + | 0.537505i | ||||
\(127\) | 1.11436 | − | 4.88232i | 0.0988833 | − | 0.433236i | −0.901117 | − | 0.433577i | \(-0.857251\pi\) |
1.00000 | 0.000340816i | \(0.000108485\pi\) | ||||||||
\(128\) | 0.372284i | 0.0329055i | ||||||||
\(129\) | 4.19560 | − | 4.45734i | 0.369402 | − | 0.392447i | ||||
\(130\) | −3.26154 | + | 14.2897i | −0.286056 | + | 1.25329i | ||||
\(131\) | −8.51397 | + | 4.10011i | −0.743869 | + | 0.358228i | −0.767122 | − | 0.641501i | \(-0.778312\pi\) |
0.0232531 | + | 0.999730i | \(0.492598\pi\) | |||||||
\(132\) | −0.0691973 | + | 0.842384i | −0.00602285 | + | 0.0733201i | ||||
\(133\) | −2.76675 | + | 2.52947i | −0.239908 | + | 0.219333i | ||||
\(134\) | 8.89303 | + | 7.09196i | 0.768241 | + | 0.612652i | ||||
\(135\) | −9.40616 | + | 7.17611i | −0.809554 | + | 0.617621i | ||||
\(136\) | 11.2567 | + | 8.97690i | 0.965252 | + | 0.769763i | ||||
\(137\) | −8.03365 | − | 16.6821i | −0.686361 | − | 1.42524i | −0.894465 | − | 0.447137i | \(-0.852444\pi\) |
0.208104 | − | 0.978107i | \(-0.433271\pi\) | |||||||
\(138\) | −9.67867 | − | 0.795051i | −0.823903 | − | 0.0676792i | ||||
\(139\) | −5.97592 | + | 12.4091i | −0.506871 | + | 1.05253i | 0.477859 | + | 0.878437i | \(0.341413\pi\) |
−0.984730 | + | 0.174091i | \(0.944301\pi\) | |||||||
\(140\) | 4.22728 | − | 2.39924i | 0.357270 | − | 0.202773i | ||||
\(141\) | −2.62002 | + | 8.28285i | −0.220645 | + | 0.697542i | ||||
\(142\) | 1.77596 | + | 0.855256i | 0.149035 | + | 0.0717715i | ||||
\(143\) | −0.793126 | − | 3.47491i | −0.0663245 | − | 0.290587i | ||||
\(144\) | 1.97100 | − | 4.81798i | 0.164250 | − | 0.401498i | ||||
\(145\) | 0.246378 | + | 0.196480i | 0.0204606 | + | 0.0163168i | ||||
\(146\) | −7.42813 | −0.614756 | ||||||||
\(147\) | 3.31910 | + | 11.6612i | 0.273755 | + | 0.961800i | ||||
\(148\) | −1.96680 | −0.161670 | ||||||||
\(149\) | 10.5275 | + | 8.39538i | 0.862444 | + | 0.687776i | 0.951299 | − | 0.308269i | \(-0.0997495\pi\) |
−0.0888556 | + | 0.996045i | \(0.528321\pi\) | |||||||
\(150\) | −0.124969 | − | 0.325244i | −0.0102037 | − | 0.0265561i | ||||
\(151\) | −3.04630 | − | 13.3467i | −0.247904 | − | 1.08614i | −0.933619 | − | 0.358268i | \(-0.883367\pi\) |
0.685715 | − | 0.727870i | \(-0.259490\pi\) | |||||||
\(152\) | 3.91393 | + | 1.88485i | 0.317462 | + | 0.152882i | ||||
\(153\) | −6.86860 | − | 12.3003i | −0.555293 | − | 0.994418i | ||||
\(154\) | 0.995190 | − | 1.43680i | 0.0801947 | − | 0.115781i | ||||
\(155\) | 9.17042 | − | 19.0426i | 0.736586 | − | 1.52954i | ||||
\(156\) | 0.674308 | − | 8.20880i | 0.0539879 | − | 0.657230i | ||||
\(157\) | 1.96451 | + | 4.07935i | 0.156785 | + | 0.325567i | 0.964534 | − | 0.263959i | \(-0.0850285\pi\) |
−0.807749 | + | 0.589527i | \(0.799314\pi\) | |||||||
\(158\) | 6.86557 | + | 5.47511i | 0.546195 | + | 0.435576i | ||||
\(159\) | −16.4433 | + | 11.0392i | −1.30404 | + | 0.875468i | ||||
\(160\) | −7.54166 | − | 6.01427i | −0.596220 | − | 0.475470i | ||||
\(161\) | −11.1642 | − | 7.73280i | −0.879863 | − | 0.609430i | ||||
\(162\) | −6.89022 | + | 7.01196i | −0.541347 | + | 0.550912i | ||||
\(163\) | −2.92634 | + | 1.40925i | −0.229209 | + | 0.110381i | −0.544964 | − | 0.838460i | \(-0.683457\pi\) |
0.315755 | + | 0.948841i | \(0.397742\pi\) | |||||||
\(164\) | 1.60720 | − | 7.04159i | 0.125501 | − | 0.549856i | ||||
\(165\) | 1.73672 | + | 1.63474i | 0.135203 | + | 0.127264i | ||||
\(166\) | 8.65901i | 0.672069i | ||||||||
\(167\) | 3.04671 | − | 13.3485i | 0.235762 | − | 1.03294i | −0.709007 | − | 0.705201i | \(-0.750857\pi\) |
0.944769 | − | 0.327738i | \(-0.106286\pi\) | |||||||
\(168\) | 11.1109 | − | 8.59946i | 0.857221 | − | 0.663463i | ||||
\(169\) | 4.83602 | + | 21.1880i | 0.372001 | + | 1.62984i | ||||
\(170\) | 11.3864 | − | 2.59886i | 0.873294 | − | 0.199324i | ||||
\(171\) | −2.84628 | − | 3.15706i | −0.217661 | − | 0.241426i | ||||
\(172\) | −1.77797 | − | 2.22951i | −0.135569 | − | 0.169998i | ||||
\(173\) | −1.29930 | − | 5.69259i | −0.0987836 | − | 0.432799i | 0.901216 | − | 0.433370i | \(-0.142676\pi\) |
−1.00000 | 0.000570387i | \(0.999818\pi\) | ||||||||
\(174\) | 0.225825 | + | 0.132545i | 0.0171198 | + | 0.0100482i | ||||
\(175\) | 0.0761717 | − | 0.481266i | 0.00575804 | − | 0.0363803i | ||||
\(176\) | −1.02310 | − | 0.233516i | −0.0771192 | − | 0.0176020i | ||||
\(177\) | −0.494321 | + | 0.525158i | −0.0371554 | + | 0.0394733i | ||||
\(178\) | − | 15.3435i | − | 1.15004i | ||||||
\(179\) | 10.7637 | + | 2.45674i | 0.804516 | + | 0.183625i | 0.604955 | − | 0.796260i | \(-0.293191\pi\) |
0.199561 | + | 0.979885i | \(0.436048\pi\) | |||||||
\(180\) | 2.68711 | + | 4.81207i | 0.200285 | + | 0.358671i | ||||
\(181\) | −4.97974 | + | 3.97121i | −0.370141 | + | 0.295178i | −0.790840 | − | 0.612022i | \(-0.790356\pi\) |
0.420699 | + | 0.907200i | \(0.361785\pi\) | |||||||
\(182\) | −9.69785 | + | 14.0013i | −0.718853 | + | 1.03784i | ||||
\(183\) | 6.87031 | − | 0.985271i | 0.507868 | − | 0.0728333i | ||||
\(184\) | −3.50195 | + | 15.3431i | −0.258167 | + | 1.13111i | ||||
\(185\) | −3.46035 | + | 4.33915i | −0.254410 | + | 0.319020i | ||||
\(186\) | 5.29659 | − | 16.7445i | 0.388365 | − | 1.22776i | ||||
\(187\) | −2.22047 | + | 1.77077i | −0.162377 | + | 0.129491i | ||||
\(188\) | 3.64624 | + | 1.75594i | 0.265929 | + | 0.128065i | ||||
\(189\) | −13.2484 | + | 3.67152i | −0.963679 | + | 0.267064i | ||||
\(190\) | 3.17489 | − | 1.52895i | 0.230331 | − | 0.110922i | ||||
\(191\) | −9.61509 | + | 19.9659i | −0.695724 | + | 1.44469i | 0.190623 | + | 0.981663i | \(0.438949\pi\) |
−0.886347 | + | 0.463022i | \(0.846765\pi\) | |||||||
\(192\) | −12.0964 | − | 7.09985i | −0.872985 | − | 0.512388i | ||||
\(193\) | 18.9799 | + | 9.14024i | 1.36620 | + | 0.657929i | 0.966011 | − | 0.258503i | \(-0.0832291\pi\) |
0.400192 | + | 0.916431i | \(0.368943\pi\) | |||||||
\(194\) | 2.79325 | − | 3.50263i | 0.200544 | − | 0.251474i | ||||
\(195\) | −16.9238 | − | 15.9301i | −1.21194 | − | 1.14077i | ||||
\(196\) | 5.59688 | − | 0.759380i | 0.399777 | − | 0.0542414i | ||||
\(197\) | 19.5426i | 1.39235i | 0.717872 | + | 0.696175i | \(0.245116\pi\) | ||||
−0.717872 | + | 0.696175i | \(0.754884\pi\) | |||||||
\(198\) | 1.62130 | + | 1.13973i | 0.115221 | + | 0.0809974i | ||||
\(199\) | 3.78682 | − | 7.86341i | 0.268441 | − | 0.557423i | −0.722556 | − | 0.691313i | \(-0.757033\pi\) |
0.990996 | + | 0.133890i | \(0.0427469\pi\) | |||||||
\(200\) | −0.550487 | + | 0.125645i | −0.0389253 | + | 0.00888445i | ||||
\(201\) | −16.8366 | + | 6.46912i | −1.18756 | + | 0.456297i | ||||
\(202\) | −8.39012 | − | 17.4223i | −0.590327 | − | 1.22583i | ||||
\(203\) | 0.180749 | + | 0.318465i | 0.0126861 | + | 0.0223519i | ||||
\(204\) | −6.12631 | + | 2.35391i | −0.428928 | + | 0.164807i | ||||
\(205\) | −12.7074 | − | 15.9346i | −0.887526 | − | 1.11292i | ||||
\(206\) | −4.13412 | + | 1.99089i | −0.288038 | + | 0.138712i | ||||
\(207\) | 8.85593 | − | 12.5978i | 0.615530 | − | 0.875606i | ||||
\(208\) | 9.96985 | + | 2.27555i | 0.691285 | + | 0.157781i | ||||
\(209\) | −0.534279 | + | 0.669965i | −0.0369568 | + | 0.0463424i | ||||
\(210\) | 0.165624 | − | 11.3958i | 0.0114291 | − | 0.786386i | ||||
\(211\) | 8.83737 | + | 11.0817i | 0.608390 | + | 0.762897i | 0.986659 | − | 0.162799i | \(-0.0520521\pi\) |
−0.378269 | + | 0.925696i | \(0.623481\pi\) | |||||||
\(212\) | 4.00315 | + | 8.31263i | 0.274937 | + | 0.570914i | ||||
\(213\) | −2.59508 | + | 1.74221i | −0.177812 | + | 0.119374i | ||||
\(214\) | −3.33755 | −0.228150 | ||||||||
\(215\) | −8.04686 | −0.548791 | ||||||||
\(216\) | 9.66308 | + | 12.6660i | 0.657489 | + | 0.861811i | ||||
\(217\) | 18.1263 | − | 16.5718i | 1.23049 | − | 1.12496i | ||||
\(218\) | 9.16068 | − | 2.09086i | 0.620439 | − | 0.141611i | ||||
\(219\) | 5.96225 | − | 10.1582i | 0.402891 | − | 0.686430i | ||||
\(220\) | 0.868685 | − | 0.692753i | 0.0585667 | − | 0.0467054i | ||||
\(221\) | 21.6379 | − | 17.2556i | 1.45552 | − | 1.16074i | ||||
\(222\) | −2.33435 | + | 3.97717i | −0.156672 | + | 0.266930i | ||||
\(223\) | 5.58533 | − | 1.27481i | 0.374021 | − | 0.0853679i | −0.0313782 | − | 0.999508i | \(-0.509990\pi\) |
0.405399 | + | 0.914140i | \(0.367132\pi\) | |||||||
\(224\) | −5.53274 | − | 9.74825i | −0.369672 | − | 0.651332i | ||||
\(225\) | 0.545091 | + | 0.0901609i | 0.0363394 | + | 0.00601072i | ||||
\(226\) | −3.79018 | −0.252119 | ||||||||
\(227\) | 0.381837 | 0.0253434 | 0.0126717 | − | 0.999920i | \(-0.495966\pi\) | ||||
0.0126717 | + | 0.999920i | \(0.495966\pi\) | |||||||
\(228\) | −1.64406 | + | 1.10374i | −0.108880 | + | 0.0730968i | ||||
\(229\) | 5.81801 | + | 12.0812i | 0.384465 | + | 0.798349i | 0.999948 | + | 0.0101993i | \(0.00324658\pi\) |
−0.615483 | + | 0.788150i | \(0.711039\pi\) | |||||||
\(230\) | 7.95947 | + | 9.98086i | 0.524832 | + | 0.658119i | ||||
\(231\) | 1.16608 | + | 2.51422i | 0.0767226 | + | 0.165424i | ||||
\(232\) | 0.264572 | − | 0.331763i | 0.0173700 | − | 0.0217813i | ||||
\(233\) | −3.44722 | − | 0.786805i | −0.225835 | − | 0.0515453i | 0.108106 | − | 0.994139i | \(-0.465521\pi\) |
−0.333941 | + | 0.942594i | \(0.608379\pi\) | |||||||
\(234\) | −15.7991 | − | 11.1064i | −1.03282 | − | 0.726048i | ||||
\(235\) | 10.2891 | − | 4.95495i | 0.671185 | − | 0.323225i | ||||
\(236\) | 0.209479 | + | 0.262678i | 0.0136359 | + | 0.0170989i | ||||
\(237\) | −12.9981 | + | 4.99427i | −0.844318 | + | 0.324413i | ||||
\(238\) | 13.4045 | + | 2.12157i | 0.868882 | + | 0.137521i | ||||
\(239\) | −8.64287 | − | 17.9471i | −0.559060 | − | 1.16090i | −0.968604 | − | 0.248610i | \(-0.920026\pi\) |
0.409543 | − | 0.912291i | \(-0.365688\pi\) | |||||||
\(240\) | −6.38770 | + | 2.45435i | −0.412324 | + | 0.158427i | ||||
\(241\) | 3.68199 | − | 0.840391i | 0.237178 | − | 0.0541343i | −0.102280 | − | 0.994756i | \(-0.532614\pi\) |
0.339458 | + | 0.940621i | \(0.389756\pi\) | |||||||
\(242\) | −5.03990 | + | 10.4655i | −0.323977 | + | 0.672745i | ||||
\(243\) | −4.05862 | − | 15.0508i | −0.260360 | − | 0.965511i | ||||
\(244\) | − | 3.23329i | − | 0.206990i | ||||||
\(245\) | 8.17170 | − | 13.6838i | 0.522071 | − | 0.874228i | ||||
\(246\) | −12.3316 | − | 11.6075i | −0.786236 | − | 0.740067i | ||||
\(247\) | 5.20640 | − | 6.52862i | 0.331275 | − | 0.415406i | ||||
\(248\) | −25.6420 | − | 12.3485i | −1.62827 | − | 0.784133i | ||||
\(249\) | −11.8415 | − | 6.95023i | −0.750425 | − | 0.440453i | ||||
\(250\) | 5.19669 | − | 10.7910i | 0.328667 | − | 0.682485i | ||||
\(251\) | −19.3126 | + | 9.30045i | −1.21900 | + | 0.587039i | −0.929033 | − | 0.369997i | \(-0.879359\pi\) |
−0.289967 | + | 0.957037i | \(0.593644\pi\) | |||||||
\(252\) | 0.816932 | + | 6.35209i | 0.0514619 | + | 0.400144i | ||||
\(253\) | −2.79695 | − | 1.34694i | −0.175843 | − | 0.0846813i | ||||
\(254\) | −4.27670 | + | 3.41056i | −0.268344 | + | 0.213997i | ||||
\(255\) | −5.58532 | + | 17.6573i | −0.349766 | + | 1.10574i | ||||
\(256\) | −9.84447 | + | 12.3446i | −0.615279 | + | 0.771536i | ||||
\(257\) | 2.43260 | − | 10.6579i | 0.151742 | − | 0.664824i | −0.840637 | − | 0.541599i | \(-0.817819\pi\) |
0.992379 | − | 0.123225i | \(-0.0393237\pi\) | |||||||
\(258\) | −6.61864 | + | 0.949180i | −0.412059 | + | 0.0590934i | ||||
\(259\) | −5.60872 | + | 3.18330i | −0.348509 | + | 0.197801i | ||||
\(260\) | −8.46509 | + | 6.75069i | −0.524983 | + | 0.418660i | ||||
\(261\) | −0.362521 | + | 0.202435i | −0.0224395 | + | 0.0125304i | ||||
\(262\) | 10.0632 | + | 2.29686i | 0.621708 | + | 0.141901i | ||||
\(263\) | 1.64001i | 0.101127i | 0.998721 | + | 0.0505636i | \(0.0161018\pi\) | ||||
−0.998721 | + | 0.0505636i | \(0.983898\pi\) | |||||||
\(264\) | 2.20128 | − | 2.33860i | 0.135479 | − | 0.143931i | ||||
\(265\) | 25.3823 | + | 5.79335i | 1.55922 | + | 0.355883i | ||||
\(266\) | 4.08546 | − | 0.275892i | 0.250496 | − | 0.0169160i | ||||
\(267\) | 20.9828 | + | 12.3156i | 1.28413 | + | 0.753702i | ||||
\(268\) | 1.86971 | + | 8.19174i | 0.114211 | + | 0.500390i | ||||
\(269\) | 2.61233 | + | 3.27576i | 0.159277 | + | 0.199727i | 0.855066 | − | 0.518520i | \(-0.173517\pi\) |
−0.695789 | + | 0.718246i | \(0.744945\pi\) | |||||||
\(270\) | 12.9200 | + | 0.277594i | 0.786287 | + | 0.0168938i | ||||
\(271\) | −24.6057 | + | 5.61610i | −1.49469 | + | 0.341154i | −0.890241 | − | 0.455489i | \(-0.849464\pi\) |
−0.604450 | + | 0.796643i | \(0.706607\pi\) | |||||||
\(272\) | −1.81321 | − | 7.94418i | −0.109942 | − | 0.481687i | ||||
\(273\) | −11.3632 | − | 24.5004i | −0.687729 | − | 1.48283i | ||||
\(274\) | −4.50042 | + | 19.7176i | −0.271880 | + | 1.19118i | ||||
\(275\) | − | 0.111381i | − | 0.00671650i | ||||||
\(276\) | −5.22362 | − | 4.91688i | −0.314425 | − | 0.295962i | ||||
\(277\) | −1.06537 | + | 4.66768i | −0.0640117 | + | 0.280454i | −0.996796 | − | 0.0799803i | \(-0.974514\pi\) |
0.932785 | + | 0.360434i | \(0.117371\pi\) | |||||||
\(278\) | 13.5545 | − | 6.52750i | 0.812944 | − | 0.391493i | ||||
\(279\) | 18.6473 | + | 20.6834i | 1.11639 | + | 1.23828i | ||||
\(280\) | −18.2424 | − | 2.88729i | −1.09019 | − | 0.172549i | ||||
\(281\) | 5.85369 | + | 4.66816i | 0.349202 | + | 0.278479i | 0.782344 | − | 0.622846i | \(-0.214024\pi\) |
−0.433142 | + | 0.901325i | \(0.642595\pi\) | |||||||
\(282\) | 7.87842 | − | 5.28918i | 0.469153 | − | 0.314966i | ||||
\(283\) | 3.09338 | + | 2.46689i | 0.183882 | + | 0.146641i | 0.711105 | − | 0.703086i | \(-0.248195\pi\) |
−0.527223 | + | 0.849727i | \(0.676767\pi\) | |||||||
\(284\) | 0.631776 | + | 1.31190i | 0.0374890 | + | 0.0778467i | ||||
\(285\) | −0.457464 | + | 5.56900i | −0.0270978 | + | 0.329879i | ||||
\(286\) | −1.68922 | + | 3.50770i | −0.0998858 | + | 0.207415i | ||||
\(287\) | −6.81369 | − | 22.6818i | −0.402199 | − | 1.33886i | ||||
\(288\) | 11.0968 | − | 6.19657i | 0.653886 | − | 0.365136i | ||||
\(289\) | −4.55234 | − | 2.19229i | −0.267784 | − | 0.128958i | ||||
\(290\) | −0.0765952 | − | 0.335585i | −0.00449782 | − | 0.0197063i | ||||
\(291\) | 2.54794 | + | 6.63129i | 0.149363 | + | 0.388733i | ||||
\(292\) | −4.29002 | − | 3.42118i | −0.251054 | − | 0.200209i | ||||
\(293\) | 6.79779 | 0.397131 | 0.198566 | − | 0.980088i | \(-0.436372\pi\) | ||||
0.198566 | + | 0.980088i | \(0.436372\pi\) | |||||||
\(294\) | 5.10723 | − | 12.2190i | 0.297860 | − | 0.712629i | ||||
\(295\) | 0.948071 | 0.0551988 | ||||||||
\(296\) | 5.84293 | + | 4.65958i | 0.339613 | + | 0.270833i | ||||
\(297\) | −2.85998 | + | 1.30237i | −0.165953 | + | 0.0755711i | ||||
\(298\) | −3.27283 | − | 14.3392i | −0.189590 | − | 0.830648i | ||||
\(299\) | 27.2555 | + | 13.1255i | 1.57622 | + | 0.759070i | ||||
\(300\) | 0.0776239 | − | 0.245398i | 0.00448162 | − | 0.0141680i | ||||
\(301\) | −8.67874 | − | 3.48020i | −0.500234 | − | 0.200596i | ||||
\(302\) | −6.48809 | + | 13.4727i | −0.373347 | + | 0.775264i | ||||
\(303\) | 30.5600 | + | 2.51034i | 1.75563 | + | 0.144215i | ||||
\(304\) | −1.06674 | − | 2.21510i | −0.0611815 | − | 0.127045i | ||||
\(305\) | −7.13327 | − | 5.68859i | −0.408450 | − | 0.325728i | ||||
\(306\) | −2.51121 | + | 15.1821i | −0.143556 | + | 0.867906i | ||||
\(307\) | 7.22321 | + | 5.76032i | 0.412250 | + | 0.328759i | 0.807556 | − | 0.589791i | \(-0.200790\pi\) |
−0.395306 | + | 0.918550i | \(0.629361\pi\) | |||||||
\(308\) | 1.23651 | − | 0.371452i | 0.0704566 | − | 0.0211655i | ||||
\(309\) | 0.595677 | − | 7.25156i | 0.0338869 | − | 0.412527i | ||||
\(310\) | −20.8002 | + | 10.0169i | −1.18137 | + | 0.568919i | ||||
\(311\) | −3.50369 | + | 15.3507i | −0.198676 | + | 0.870457i | 0.773050 | + | 0.634346i | \(0.218730\pi\) |
−0.971726 | + | 0.236112i | \(0.924127\pi\) | |||||||
\(312\) | −21.4508 | + | 22.7890i | −1.21441 | + | 1.29017i | ||||
\(313\) | 5.58556i | 0.315715i | 0.987462 | + | 0.157857i | \(0.0504586\pi\) | ||||
−0.987462 | + | 0.157857i | \(0.949541\pi\) | |||||||
\(314\) | 1.10051 | − | 4.82165i | 0.0621054 | − | 0.272101i | ||||
\(315\) | 15.4512 | + | 9.37344i | 0.870579 | + | 0.528134i | ||||
\(316\) | 1.44345 | + | 6.32416i | 0.0812003 | + | 0.355762i | ||||
\(317\) | −29.9873 | + | 6.84441i | −1.68425 | + | 0.384420i | −0.954247 | − | 0.299019i | \(-0.903341\pi\) |
−0.730007 | + | 0.683439i | \(0.760483\pi\) | |||||||
\(318\) | 21.5607 | + | 1.77109i | 1.20906 | + | 0.0993179i | ||||
\(319\) | 0.0521890 | + | 0.0654430i | 0.00292203 | + | 0.00366410i | ||||
\(320\) | 4.10286 | + | 17.9758i | 0.229357 | + | 1.00488i | ||||
\(321\) | 2.67891 | − | 4.56422i | 0.149522 | − | 0.254750i | ||||
\(322\) | 4.26785 | + | 14.2070i | 0.237838 | + | 0.791726i | ||||
\(323\) | −6.48696 | − | 1.48061i | −0.360944 | − | 0.0823832i | ||||
\(324\) | −7.20886 | + | 0.876237i | −0.400492 | + | 0.0486798i | ||||
\(325\) | 1.08537i | 0.0602056i | ||||||||
\(326\) | 3.45883 | + | 0.789456i | 0.191567 | + | 0.0437239i | ||||
\(327\) | −4.49356 | + | 14.2058i | −0.248495 | + | 0.785583i | ||||
\(328\) | −21.4570 | + | 17.1114i | −1.18476 | + | 0.944817i | ||||
\(329\) | 13.2400 | − | 0.894100i | 0.729944 | − | 0.0492933i | ||||
\(330\) | −0.369830 | − | 2.57883i | −0.0203585 | − | 0.141960i | ||||
\(331\) | 3.92587 | − | 17.2004i | 0.215785 | − | 0.945417i | −0.744769 | − | 0.667323i | \(-0.767440\pi\) |
0.960554 | − | 0.278094i | \(-0.0897027\pi\) | |||||||
\(332\) | −3.98809 | + | 5.00090i | −0.218875 | + | 0.274460i | ||||
\(333\) | −3.56524 | − | 6.38462i | −0.195374 | − | 0.349875i | ||||
\(334\) | −11.6927 | + | 9.32464i | −0.639798 | + | 0.510221i | ||||
\(335\) | 21.3621 | + | 10.2874i | 1.16714 | + | 0.562063i | ||||
\(336\) | −7.95078 | − | 0.115554i | −0.433750 | − | 0.00630401i | ||||
\(337\) | 19.0451 | − | 9.17161i | 1.03745 | − | 0.499610i | 0.163968 | − | 0.986466i | \(-0.447571\pi\) |
0.873482 | + | 0.486856i | \(0.161856\pi\) | |||||||
\(338\) | 10.2999 | − | 21.3879i | 0.560240 | − | 1.16335i | ||||
\(339\) | 3.04222 | − | 5.18321i | 0.165231 | − | 0.281514i | ||||
\(340\) | 7.77301 | + | 3.74328i | 0.421551 | + | 0.203008i | ||||
\(341\) | 3.50031 | − | 4.38925i | 0.189553 | − | 0.237691i | ||||
\(342\) | 0.280631 | + | 4.63454i | 0.0151748 | + | 0.250607i | ||||
\(343\) | 14.7315 | − | 11.2242i | 0.795428 | − | 0.606048i | ||||
\(344\) | 10.8356i | 0.584216i | ||||||||
\(345\) | −20.0379 | + | 2.87364i | −1.07881 | + | 0.154712i | ||||
\(346\) | −2.76728 | + | 5.74631i | −0.148770 | + | 0.308924i | ||||
\(347\) | −1.80575 | + | 0.412150i | −0.0969376 | + | 0.0221254i | −0.270715 | − | 0.962660i | \(-0.587260\pi\) |
0.173777 | + | 0.984785i | \(0.444403\pi\) | |||||||
\(348\) | 0.0693759 | + | 0.180558i | 0.00371894 | + | 0.00967893i | ||||
\(349\) | −6.38371 | − | 13.2559i | −0.341712 | − | 0.709572i | 0.657318 | − | 0.753614i | \(-0.271691\pi\) |
−0.999030 | + | 0.0440413i | \(0.985977\pi\) | |||||||
\(350\) | −0.392811 | + | 0.359123i | −0.0209966 | + | 0.0191959i | ||||
\(351\) | 27.8697 | − | 12.6912i | 1.48757 | − | 0.677408i | ||||
\(352\) | −1.59751 | − | 2.00322i | −0.0851477 | − | 0.106772i | ||||
\(353\) | −14.1928 | + | 6.83487i | −0.755404 | + | 0.363784i | −0.771619 | − | 0.636085i | \(-0.780553\pi\) |
0.0162146 | + | 0.999869i | \(0.494838\pi\) | |||||||
\(354\) | 0.779800 | − | 0.111831i | 0.0414459 | − | 0.00594376i | ||||
\(355\) | 4.00583 | + | 0.914305i | 0.212607 | + | 0.0485263i | ||||
\(356\) | 7.06677 | − | 8.86144i | 0.374538 | − | 0.469656i | ||||
\(357\) | −13.6605 | + | 16.6282i | −0.722992 | + | 0.880057i | ||||
\(358\) | −7.51900 | − | 9.42852i | −0.397391 | − | 0.498313i | ||||
\(359\) | −5.97833 | − | 12.4141i | −0.315524 | − | 0.655193i | 0.681539 | − | 0.731782i | \(-0.261311\pi\) |
−0.997063 | + | 0.0765895i | \(0.975597\pi\) | |||||||
\(360\) | 3.41755 | − | 20.6617i | 0.180121 | − | 1.08897i | ||||
\(361\) | 16.9924 | 0.894337 | ||||||||
\(362\) | 6.95722 | 0.365663 | ||||||||
\(363\) | −10.2666 | − | 15.2924i | −0.538855 | − | 0.802644i | ||||
\(364\) | −12.0494 | + | 3.61970i | −0.631562 | + | 0.189724i | ||||
\(365\) | −15.0956 | + | 3.44546i | −0.790138 | + | 0.180344i | ||||
\(366\) | −6.53821 | − | 3.83752i | −0.341758 | − | 0.200591i | ||||
\(367\) | −12.6258 | + | 10.0687i | −0.659062 | + | 0.525584i | −0.894933 | − | 0.446200i | \(-0.852777\pi\) |
0.235871 | + | 0.971784i | \(0.424206\pi\) | |||||||
\(368\) | 6.96358 | − | 5.55327i | 0.363002 | − | 0.289484i | ||||
\(369\) | 25.7718 | − | 7.54708i | 1.34162 | − | 0.392885i | ||||
\(370\) | 5.91025 | − | 1.34898i | 0.307259 | − | 0.0701299i | ||||
\(371\) | 24.8699 | + | 17.2259i | 1.29118 | + | 0.894326i | ||||
\(372\) | 10.7710 | − | 7.23110i | 0.558450 | − | 0.374915i | ||||
\(373\) | −1.25711 | −0.0650906 | −0.0325453 | − | 0.999470i | \(-0.510361\pi\) | ||||
−0.0325453 | + | 0.999470i | \(0.510361\pi\) | |||||||
\(374\) | 3.10223 | 0.160412 | ||||||||
\(375\) | 10.5860 | + | 15.7682i | 0.546656 | + | 0.814265i | ||||
\(376\) | −6.67215 | − | 13.8549i | −0.344090 | − | 0.714510i | ||||
\(377\) | −0.508568 | − | 0.637724i | −0.0261926 | − | 0.0328444i | ||||
\(378\) | 13.8145 | + | 5.88720i | 0.710542 | + | 0.302805i | ||||
\(379\) | −3.56077 | + | 4.46506i | −0.182904 | + | 0.229355i | −0.864828 | − | 0.502069i | \(-0.832572\pi\) |
0.681923 | + | 0.731424i | \(0.261144\pi\) | |||||||
\(380\) | 2.53781 | + | 0.579238i | 0.130187 | + | 0.0297143i | ||||
\(381\) | −1.23133 | − | 8.58606i | −0.0630828 | − | 0.439877i | ||||
\(382\) | 21.8088 | − | 10.5026i | 1.11584 | − | 0.537358i | ||||
\(383\) | −15.4854 | − | 19.4181i | −0.791267 | − | 0.992217i | −0.999899 | − | 0.0142228i | \(-0.995473\pi\) |
0.208632 | − | 0.977994i | \(-0.433099\pi\) | |||||||
\(384\) | 0.231273 | + | 0.601912i | 0.0118021 | + | 0.0307162i | ||||
\(385\) | 1.35599 | − | 3.38150i | 0.0691079 | − | 0.172337i | ||||
\(386\) | −9.98388 | − | 20.7317i | −0.508166 | − | 1.05522i | ||||
\(387\) | 4.01447 | − | 9.81310i | 0.204067 | − | 0.498828i | ||||
\(388\) | 3.22642 | − | 0.736409i | 0.163797 | − | 0.0373855i | ||||
\(389\) | −0.303468 | + | 0.630159i | −0.0153865 | + | 0.0319503i | −0.908520 | − | 0.417840i | \(-0.862787\pi\) |
0.893134 | + | 0.449791i | \(0.148501\pi\) | |||||||
\(390\) | 3.60389 | + | 25.1300i | 0.182490 | + | 1.27251i | ||||
\(391\) | − | 24.1049i | − | 1.21903i | ||||||
\(392\) | −18.4261 | − | 11.0037i | −0.930661 | − | 0.555771i | ||||
\(393\) | −11.2184 | + | 11.9182i | −0.565892 | + | 0.601194i | ||||
\(394\) | 13.3092 | − | 16.6892i | 0.670509 | − | 0.840792i | ||||
\(395\) | 16.4919 | + | 7.94208i | 0.829797 | + | 0.399609i | ||||
\(396\) | 0.411433 | + | 1.40496i | 0.0206753 | + | 0.0706020i | ||||
\(397\) | 5.58664 | − | 11.6008i | 0.280385 | − | 0.582226i | −0.712449 | − | 0.701724i | \(-0.752414\pi\) |
0.992834 | + | 0.119498i | \(0.0381284\pi\) | |||||||
\(398\) | −8.58921 | + | 4.13635i | −0.430538 | + | 0.207336i | ||||
\(399\) | −2.90194 | + | 5.80846i | −0.145279 | + | 0.290787i | ||||
\(400\) | 0.287915 | + | 0.138652i | 0.0143957 | + | 0.00693262i | ||||
\(401\) | −24.9249 | + | 19.8770i | −1.24469 | + | 0.992608i | −0.244957 | + | 0.969534i | \(0.578774\pi\) |
−0.999734 | + | 0.0230735i | \(0.992655\pi\) | |||||||
\(402\) | 18.7841 | + | 5.94175i | 0.936864 | + | 0.296348i | ||||
\(403\) | −34.1096 | + | 42.7720i | −1.69912 | + | 2.13063i | ||||
\(404\) | 3.17858 | − | 13.9263i | 0.158140 | − | 0.692857i | ||||
\(405\) | −10.7500 | + | 17.4458i | −0.534171 | + | 0.866888i | ||||
\(406\) | 0.0625283 | − | 0.395064i | 0.00310323 | − | 0.0196067i | ||||
\(407\) | −1.15257 | + | 0.919140i | −0.0571305 | + | 0.0455601i | ||||
\(408\) | 23.7766 | + | 7.52099i | 1.17712 | + | 0.372344i | ||||
\(409\) | −28.5436 | − | 6.51490i | −1.41139 | − | 0.322141i | −0.552165 | − | 0.833735i | \(-0.686198\pi\) |
−0.859227 | + | 0.511594i | \(0.829055\pi\) | |||||||
\(410\) | 22.2623i | 1.09946i | ||||||||
\(411\) | −23.3522 | − | 21.9810i | −1.15188 | − | 1.08424i | ||||
\(412\) | −3.30455 | − | 0.754243i | −0.162804 | − | 0.0371589i | ||||
\(413\) | 1.02252 | + | 0.410033i | 0.0503148 | + | 0.0201764i | ||||
\(414\) | −16.1425 | + | 4.72721i | −0.793360 | + | 0.232330i | ||||
\(415\) | 4.01640 | + | 17.5970i | 0.197157 | + | 0.863802i | ||||
\(416\) | 15.5673 | + | 19.5208i | 0.763251 | + | 0.957086i | ||||
\(417\) | −1.95304 | + | 23.7756i | −0.0956406 | + | 1.16430i | ||||
\(418\) | 0.912543 | − | 0.208282i | 0.0446339 | − | 0.0101874i | ||||
\(419\) | −4.22876 | − | 18.5274i | −0.206588 | − | 0.905123i | −0.966818 | − | 0.255468i | \(-0.917770\pi\) |
0.760229 | − | 0.649655i | \(-0.225087\pi\) | |||||||
\(420\) | 5.34423 | − | 6.50522i | 0.260772 | − | 0.317422i | ||||
\(421\) | 7.47091 | − | 32.7322i | 0.364110 | − | 1.59527i | −0.378537 | − | 0.925586i | \(-0.623573\pi\) |
0.742647 | − | 0.669683i | \(-0.233570\pi\) | |||||||
\(422\) | − | 15.4823i | − | 0.753667i | ||||||
\(423\) | 0.909459 | + | 15.0194i | 0.0442194 | + | 0.730269i | ||||
\(424\) | 7.80111 | − | 34.1789i | 0.378855 | − | 1.65987i | ||||
\(425\) | 0.779201 | − | 0.375243i | 0.0377968 | − | 0.0182020i | ||||
\(426\) | 3.40269 | + | 0.279513i | 0.164861 | + | 0.0135424i | ||||
\(427\) | −5.23314 | − | 9.22037i | −0.253249 | − | 0.446205i | ||||
\(428\) | −1.92756 | − | 1.53718i | −0.0931721 | − | 0.0743023i | ||||
\(429\) | −3.44104 | − | 5.12556i | −0.166135 | − | 0.247464i | ||||
\(430\) | 6.87198 | + | 5.48022i | 0.331396 | + | 0.264280i | ||||
\(431\) | −2.47591 | − | 5.14128i | −0.119260 | − | 0.247647i | 0.832789 | − | 0.553590i | \(-0.186742\pi\) |
−0.952050 | + | 0.305943i | \(0.901028\pi\) | |||||||
\(432\) | 0.193675 | − | 9.01420i | 0.00931820 | − | 0.433696i | ||||
\(433\) | −4.40033 | + | 9.13738i | −0.211466 | + | 0.439114i | −0.979541 | − | 0.201246i | \(-0.935501\pi\) |
0.768074 | + | 0.640361i | \(0.221215\pi\) | |||||||
\(434\) | −26.7658 | + | 1.80750i | −1.28480 | + | 0.0867627i | ||||
\(435\) | 0.520405 | + | 0.164614i | 0.0249515 | + | 0.00789263i | ||||
\(436\) | 6.25362 | + | 3.01159i | 0.299494 | + | 0.144229i | ||||
\(437\) | −1.61839 | − | 7.09061i | −0.0774179 | − | 0.339190i | ||||
\(438\) | −12.0099 | + | 4.61456i | −0.573854 | + | 0.220492i | ||||
\(439\) | −11.4634 | − | 9.14176i | −0.547118 | − | 0.436312i | 0.310519 | − | 0.950567i | \(-0.399497\pi\) |
−0.857637 | + | 0.514255i | \(0.828069\pi\) | |||||||
\(440\) | −4.22188 | −0.201270 | ||||||||
\(441\) | 12.6106 | + | 16.7920i | 0.600505 | + | 0.799621i | ||||
\(442\) | −30.2304 | −1.43791 | ||||||||
\(443\) | 13.8929 | + | 11.0792i | 0.660072 | + | 0.526390i | 0.895251 | − | 0.445562i | \(-0.146996\pi\) |
−0.235179 | + | 0.971952i | \(0.575568\pi\) | |||||||
\(444\) | −3.17995 | + | 1.22183i | −0.150914 | + | 0.0579856i | ||||
\(445\) | −7.11693 | − | 31.1813i | −0.337375 | − | 1.47814i | ||||
\(446\) | −5.63804 | − | 2.71514i | −0.266969 | − | 0.128565i | ||||
\(447\) | 22.2364 | + | 7.03378i | 1.05174 | + | 0.332686i | ||||
\(448\) | −3.34936 | + | 21.1618i | −0.158242 | + | 0.999802i | ||||
\(449\) | 2.63615 | − | 5.47402i | 0.124407 | − | 0.258335i | −0.829458 | − | 0.558569i | \(-0.811351\pi\) |
0.953865 | + | 0.300234i | \(0.0970649\pi\) | |||||||
\(450\) | −0.404102 | − | 0.448224i | −0.0190495 | − | 0.0211295i | ||||
\(451\) | −2.34889 | − | 4.87753i | −0.110605 | − | 0.229674i | ||||
\(452\) | −2.18897 | − | 1.74565i | −0.102961 | − | 0.0821083i | ||||
\(453\) | −13.2166 | − | 19.6866i | −0.620971 | − | 0.924959i | ||||
\(454\) | −0.326086 | − | 0.260045i | −0.0153040 | − | 0.0122045i | ||||
\(455\) | −13.2138 | + | 32.9518i | −0.619472 | + | 1.54481i | ||||
\(456\) | 7.49901 | + | 0.616003i | 0.351173 | + | 0.0288470i | ||||
\(457\) | 22.0520 | − | 10.6197i | 1.03155 | − | 0.496767i | 0.160020 | − | 0.987114i | \(-0.448844\pi\) |
0.871527 | + | 0.490347i | \(0.163130\pi\) | |||||||
\(458\) | 3.25922 | − | 14.2796i | 0.152293 | − | 0.667241i | ||||
\(459\) | −18.7465 | − | 15.6202i | −0.875011 | − | 0.729091i | ||||
\(460\) | 9.43022i | 0.439686i | ||||||||
\(461\) | 7.13130 | − | 31.2443i | 0.332138 | − | 1.45519i | −0.482845 | − | 0.875706i | \(-0.660396\pi\) |
0.814983 | − | 0.579485i | \(-0.196746\pi\) | |||||||
\(462\) | 0.716452 | − | 2.94128i | 0.0333324 | − | 0.136841i | ||||
\(463\) | −8.29385 | − | 36.3377i | −0.385448 | − | 1.68876i | −0.680072 | − | 0.733145i | \(-0.738052\pi\) |
0.294624 | − | 0.955613i | \(-0.404806\pi\) | |||||||
\(464\) | −0.234136 | + | 0.0534399i | −0.0108695 | + | 0.00248089i | ||||
\(465\) | 2.99706 | − | 36.4852i | 0.138985 | − | 1.69196i | ||||
\(466\) | 2.40806 | + | 3.01962i | 0.111551 | + | 0.139881i | ||||
\(467\) | 5.27987 | + | 23.1326i | 0.244323 | + | 1.07045i | 0.937035 | + | 0.349236i | \(0.113559\pi\) |
−0.692712 | + | 0.721215i | \(0.743584\pi\) | |||||||
\(468\) | −4.00930 | − | 13.6910i | −0.185330 | − | 0.632865i | ||||
\(469\) | 18.5903 | + | 20.3342i | 0.858421 | + | 0.938946i | ||||
\(470\) | −12.1613 | − | 2.77574i | −0.560960 | − | 0.128035i | ||||
\(471\) | 5.71045 | + | 5.37512i | 0.263123 | + | 0.247673i | ||||
\(472\) | − | 1.27664i | − | 0.0587619i | ||||||
\(473\) | −2.08382 | − | 0.475618i | −0.0958142 | − | 0.0218690i | ||||
\(474\) | 14.5016 | + | 4.58713i | 0.666081 | + | 0.210694i | ||||
\(475\) | 0.204014 | − | 0.162696i | 0.00936079 | − | 0.00746498i | ||||
\(476\) | 6.76444 | + | 7.39899i | 0.310048 | + | 0.339132i | ||||
\(477\) | −19.7279 | + | 28.0634i | −0.903277 | + | 1.28493i | ||||
\(478\) | −4.84169 | + | 21.2128i | −0.221454 | + | 0.970253i | ||||
\(479\) | 18.7161 | − | 23.4692i | 0.855160 | − | 1.07234i | −0.141440 | − | 0.989947i | \(-0.545173\pi\) |
0.996600 | − | 0.0823904i | \(-0.0262554\pi\) | |||||||
\(480\) | −15.9297 | − | 5.03885i | −0.727086 | − | 0.229991i | ||||
\(481\) | 11.2314 | − | 8.95677i | 0.512109 | − | 0.408393i | ||||
\(482\) | −3.71674 | − | 1.78989i | −0.169293 | − | 0.0815272i | ||||
\(483\) | −22.8542 | − | 5.56695i | −1.03990 | − | 0.253305i | ||||
\(484\) | −7.73081 | + | 3.72296i | −0.351400 | + | 0.169226i | ||||
\(485\) | 4.05184 | − | 8.41373i | 0.183984 | − | 0.382048i | ||||
\(486\) | −6.78415 | + | 15.6174i | −0.307735 | + | 0.708420i | ||||
\(487\) | −28.7971 | − | 13.8679i | −1.30492 | − | 0.628416i | −0.353247 | − | 0.935530i | \(-0.614922\pi\) |
−0.951673 | + | 0.307114i | \(0.900637\pi\) | |||||||
\(488\) | −7.66005 | + | 9.60539i | −0.346754 | + | 0.434816i | ||||
\(489\) | −3.85587 | + | 4.09641i | −0.174368 | + | 0.185246i | ||||
\(490\) | −16.2978 | + | 6.12069i | −0.736260 | + | 0.276504i | ||||
\(491\) | − | 11.6274i | − | 0.524735i | −0.964968 | − | 0.262368i | \(-0.915497\pi\) | ||
0.964968 | − | 0.262368i | \(-0.0845033\pi\) | |||||||
\(492\) | −1.77590 | − | 12.3833i | −0.0800636 | − | 0.558285i | ||||
\(493\) | −0.282003 | + | 0.585585i | −0.0127008 | + | 0.0263734i | ||||
\(494\) | −8.89248 | + | 2.02965i | −0.400091 | + | 0.0913183i | ||||
\(495\) | 3.82349 | + | 1.56416i | 0.171853 | + | 0.0703039i | ||||
\(496\) | 6.98869 | + | 14.5122i | 0.313801 | + | 0.651615i | ||||
\(497\) | 3.92496 | + | 2.71859i | 0.176058 | + | 0.121945i | ||||
\(498\) | 5.37922 | + | 14.0000i | 0.241048 | + | 0.627354i | ||||
\(499\) | 18.9763 | + | 23.7955i | 0.849494 | + | 1.06523i | 0.997094 | + | 0.0761850i | \(0.0242739\pi\) |
−0.147599 | + | 0.989047i | \(0.547155\pi\) | |||||||
\(500\) | 7.97131 | − | 3.83878i | 0.356488 | − | 0.171675i | ||||
\(501\) | −3.36651 | − | 23.4747i | −0.150405 | − | 1.04877i | ||||
\(502\) | 22.8268 | + | 5.21007i | 1.01881 | + | 0.232537i | ||||
\(503\) | −9.20479 | + | 11.5424i | −0.410421 | + | 0.514652i | −0.943482 | − | 0.331425i | \(-0.892471\pi\) |
0.533060 | + | 0.846077i | \(0.321042\pi\) | |||||||
\(504\) | 12.6219 | − | 20.8061i | 0.562225 | − | 0.926776i | ||||
\(505\) | −25.1317 | − | 31.5141i | −1.11835 | − | 1.40236i | ||||
\(506\) | 1.47126 | + | 3.05511i | 0.0654055 | + | 0.135816i | ||||
\(507\) | 20.9815 | + | 31.2527i | 0.931820 | + | 1.38798i | ||||
\(508\) | −4.04076 | −0.179280 | ||||||||
\(509\) | −24.4589 | −1.08412 | −0.542061 | − | 0.840339i | \(-0.682356\pi\) | ||||
−0.542061 | + | 0.840339i | \(0.682356\pi\) | |||||||
\(510\) | 16.7951 | − | 11.2754i | 0.743700 | − | 0.499283i | ||||
\(511\) | −17.7711 | − | 2.81269i | −0.786146 | − | 0.124426i | ||||
\(512\) | 17.5402 | − | 4.00343i | 0.775173 | − | 0.176928i | ||||
\(513\) | −6.56315 | − | 3.33618i | −0.289770 | − | 0.147296i | ||||
\(514\) | −9.33589 | + | 7.44513i | −0.411789 | + | 0.328390i | ||||
\(515\) | −7.47797 | + | 5.96349i | −0.329519 | + | 0.262783i | ||||
\(516\) | −4.25968 | − | 2.50017i | −0.187522 | − | 0.110064i | ||||
\(517\) | 2.95733 | − | 0.674992i | 0.130063 | − | 0.0296861i | ||||
\(518\) | 6.95777 | + | 1.10123i | 0.305707 | + | 0.0483854i | ||||
\(519\) | −5.63711 | − | 8.39668i | −0.247442 | − | 0.368573i | ||||
\(520\) | 41.1411 | 1.80416 | ||||||||
\(521\) | 14.9726 | 0.655963 | 0.327981 | − | 0.944684i | \(-0.393632\pi\) | ||||
0.327981 | + | 0.944684i | \(0.393632\pi\) | |||||||
\(522\) | 0.447457 | + | 0.0740118i | 0.0195847 | + | 0.00323941i | ||||
\(523\) | 3.13675 | + | 6.51353i | 0.137161 | + | 0.284817i | 0.958223 | − | 0.286021i | \(-0.0923327\pi\) |
−0.821063 | + | 0.570838i | \(0.806618\pi\) | |||||||
\(524\) | 4.75401 | + | 5.96135i | 0.207680 | + | 0.260423i | ||||
\(525\) | −0.175820 | − | 0.825435i | −0.00767343 | − | 0.0360250i | ||||
\(526\) | 1.11691 | − | 1.40056i | 0.0486995 | − | 0.0610672i | ||||
\(527\) | 42.4991 | + | 9.70015i | 1.85129 | + | 0.422545i | ||||
\(528\) | −1.79923 | + | 0.258028i | −0.0783014 | + | 0.0112292i | ||||
\(529\) | 3.01641 | − | 1.45263i | 0.131148 | − | 0.0631577i | ||||
\(530\) | −17.7309 | − | 22.2338i | −0.770180 | − | 0.965776i | ||||
\(531\) | −0.472980 | + | 1.15617i | −0.0205256 | + | 0.0501734i | ||||
\(532\) | 2.48657 | + | 1.72230i | 0.107807 | + | 0.0746714i | ||||
\(533\) | 22.8893 | + | 47.5302i | 0.991447 | + | 2.05876i | ||||
\(534\) | −9.53181 | − | 24.8075i | −0.412482 | − | 1.07353i | ||||
\(535\) | −6.78262 | + | 1.54809i | −0.293238 | + | 0.0669297i | ||||
\(536\) | 13.8527 | − | 28.7654i | 0.598345 | − | 1.24248i | ||||
\(537\) | 18.9290 | − | 2.71461i | 0.816848 | − | 0.117144i | ||||
\(538\) | − | 4.57658i | − | 0.197310i | ||||||
\(539\) | 2.92495 | − | 3.06058i | 0.125986 | − | 0.131828i | ||||
\(540\) | 7.33394 | + | 6.11090i | 0.315603 | + | 0.262971i | ||||
\(541\) | −22.9938 | + | 28.8333i | −0.988580 | + | 1.23964i | −0.0177567 | + | 0.999842i | \(0.505652\pi\) |
−0.970823 | + | 0.239797i | \(0.922919\pi\) | |||||||
\(542\) | 24.8379 | + | 11.9613i | 1.06688 | + | 0.513783i | ||||
\(543\) | −5.58427 | + | 9.51424i | −0.239644 | + | 0.408295i | ||||
\(544\) | 8.63214 | − | 17.9248i | 0.370100 | − | 0.768521i | ||||
\(545\) | 17.6466 | − | 8.49818i | 0.755899 | − | 0.364022i | ||||
\(546\) | −6.98163 | + | 28.6619i | −0.298786 | + | 1.22662i | ||||
\(547\) | 5.82036 | + | 2.80294i | 0.248861 | + | 0.119845i | 0.554156 | − | 0.832413i | \(-0.313041\pi\) |
−0.305296 | + | 0.952258i | \(0.598755\pi\) | |||||||
\(548\) | −11.6805 | + | 9.31490i | −0.498967 | + | 0.397913i | ||||
\(549\) | 10.4959 | − | 5.86102i | 0.447954 | − | 0.250142i | ||||
\(550\) | −0.0758544 | + | 0.0951184i | −0.00323444 | + | 0.00405586i | ||||
\(551\) | −0.0436373 | + | 0.191187i | −0.00185901 | + | 0.00814486i | ||||
\(552\) | 3.86954 | + | 26.9823i | 0.164698 | + | 1.14844i | ||||
\(553\) | 14.3520 | + | 15.6983i | 0.610310 | + | 0.667561i | ||||
\(554\) | 4.08869 | − | 3.26062i | 0.173712 | − | 0.138530i | ||||
\(555\) | −2.89914 | + | 9.16524i | −0.123062 | + | 0.389043i | ||||
\(556\) | 10.8346 | + | 2.47293i | 0.459489 | + | 0.104875i | ||||
\(557\) | 20.9572i | 0.887983i | 0.896031 | + | 0.443992i | \(0.146438\pi\) | ||||
−0.896031 | + | 0.443992i | \(0.853562\pi\) | |||||||
\(558\) | −1.83855 | − | 30.3630i | −0.0778319 | − | 1.28537i | ||||
\(559\) | 20.3063 | + | 4.63477i | 0.858863 | + | 0.196030i | ||||
\(560\) | 7.05306 | + | 7.71468i | 0.298046 | + | 0.326005i | ||||
\(561\) | −2.49003 | + | 4.24241i | −0.105129 | + | 0.179115i | ||||
\(562\) | −1.81982 | − | 7.97317i | −0.0767646 | − | 0.336328i | ||||
\(563\) | −7.60106 | − | 9.53143i | −0.320347 | − | 0.401702i | 0.595419 | − | 0.803416i | \(-0.296986\pi\) |
−0.915765 | + | 0.401714i | \(0.868415\pi\) | |||||||
\(564\) | 6.98612 | + | 0.573872i | 0.294169 | + | 0.0241644i | ||||
\(565\) | −7.70247 | + | 1.75804i | −0.324045 | + | 0.0739613i | ||||
\(566\) | −0.961685 | − | 4.21342i | −0.0404226 | − | 0.177103i | ||||
\(567\) | −19.1393 | + | 14.1664i | −0.803775 | + | 0.594934i | ||||
\(568\) | 1.23117 | − | 5.39410i | 0.0516587 | − | 0.226331i | ||||
\(569\) | − | 37.5172i | − | 1.57280i | −0.617717 | − | 0.786401i | \(-0.711942\pi\) | ||
0.617717 | − | 0.786401i | \(-0.288058\pi\) | |||||||
\(570\) | 4.18338 | − | 4.44435i | 0.175222 | − | 0.186153i | ||||
\(571\) | −9.42194 | + | 41.2802i | −0.394296 | + | 1.72752i | 0.254958 | + | 0.966952i | \(0.417938\pi\) |
−0.649254 | + | 0.760572i | \(0.724919\pi\) | |||||||
\(572\) | −2.59113 | + | 1.24782i | −0.108341 | + | 0.0521742i | ||||
\(573\) | −3.14239 | + | 38.2543i | −0.131275 | + | 1.59810i | ||||
\(574\) | −9.62829 | + | 24.0105i | −0.401877 | + | 1.00218i | ||||
\(575\) | 0.739086 | + | 0.589402i | 0.0308220 | + | 0.0245797i | ||||
\(576\) | −23.9683 | − | 3.96448i | −0.998678 | − | 0.165187i | ||||
\(577\) | 0.946536 | + | 0.754837i | 0.0394048 | + | 0.0314243i | 0.642994 | − | 0.765871i | \(-0.277692\pi\) |
−0.603589 | + | 0.797295i | \(0.706263\pi\) | |||||||
\(578\) | 2.39464 | + | 4.97252i | 0.0996038 | + | 0.206829i | ||||
\(579\) | 36.3651 | + | 2.98719i | 1.51128 | + | 0.124144i | ||||
\(580\) | 0.110324 | − | 0.229091i | 0.00458096 | − | 0.00951247i | ||||
\(581\) | −3.27877 | + | 20.7158i | −0.136026 | + | 0.859438i | ||||
\(582\) | 2.34023 | − | 7.39834i | 0.0970058 | − | 0.306671i | ||||
\(583\) | 6.23060 | + | 3.00050i | 0.258045 | + | 0.124268i | ||||
\(584\) | 4.63953 | + | 20.3271i | 0.191985 | + | 0.841142i | ||||
\(585\) | −37.2588 | − | 15.2423i | −1.54046 | − | 0.630193i | ||||
\(586\) | −5.80528 | − | 4.62956i | −0.239814 | − | 0.191245i | ||||
\(587\) | −5.04768 | −0.208340 | −0.104170 | − | 0.994560i | \(-0.533219\pi\) | ||||
−0.104170 | + | 0.994560i | \(0.533219\pi\) | |||||||
\(588\) | 8.57734 | − | 4.70471i | 0.353724 | − | 0.194019i | ||||
\(589\) | 13.1527 | 0.541947 | ||||||||
\(590\) | −0.809647 | − | 0.645672i | −0.0333327 | − | 0.0265819i | ||||
\(591\) | 12.1404 | + | 31.5966i | 0.499389 | + | 1.29971i | ||||
\(592\) | −0.941170 | − | 4.12354i | −0.0386819 | − | 0.169476i | ||||
\(593\) | −19.9167 | − | 9.59138i | −0.817881 | − | 0.393871i | −0.0223253 | − | 0.999751i | \(-0.507107\pi\) |
−0.795556 | + | 0.605880i | \(0.792821\pi\) | |||||||
\(594\) | 3.32937 | + | 0.835538i | 0.136606 | + | 0.0342825i | ||||
\(595\) | 28.2248 | − | 1.90603i | 1.15711 | − | 0.0781396i | ||||
\(596\) | 4.71404 | − | 9.78880i | 0.193095 | − | 0.400965i | ||||
\(597\) | 1.23760 | − | 15.0661i | 0.0506516 | − | 0.616616i | ||||
\(598\) | −14.3370 | − | 29.7712i | −0.586285 | − | 1.21743i | ||||
\(599\) | 27.3335 | + | 21.7977i | 1.11682 | + | 0.890631i | 0.994795 | − | 0.101897i | \(-0.0324912\pi\) |
0.122021 | + | 0.992528i | \(0.461063\pi\) | |||||||
\(600\) | −0.811979 | + | 0.545122i | −0.0331489 | + | 0.0222545i | ||||
\(601\) | 3.54635 | + | 2.82812i | 0.144659 | + | 0.115361i | 0.693145 | − | 0.720798i | \(-0.256224\pi\) |
−0.548487 | + | 0.836159i | \(0.684796\pi\) | |||||||
\(602\) | 5.04145 | + | 8.88263i | 0.205474 | + | 0.362029i | ||||
\(603\) | −23.2028 | + | 20.9187i | −0.944889 | + | 0.851875i | ||||
\(604\) | −9.95222 | + | 4.79274i | −0.404950 | + | 0.195014i | ||||
\(605\) | −5.38786 | + | 23.6058i | −0.219048 | + | 0.959711i | ||||
\(606\) | −24.3884 | − | 22.9563i | −0.990712 | − | 0.932537i | ||||
\(607\) | 31.9810i | 1.29807i | 0.760760 | + | 0.649034i | \(0.224827\pi\) | ||||
−0.760760 | + | 0.649034i | \(0.775173\pi\) | |||||||
\(608\) | 1.33574 | − | 5.85227i | 0.0541715 | − | 0.237341i | ||||
\(609\) | 0.490076 | + | 0.402611i | 0.0198589 | + | 0.0163146i | ||||
\(610\) | 2.21763 | + | 9.71606i | 0.0897891 | + | 0.393392i | ||||
\(611\) | −28.8184 | + | 6.57761i | −1.16587 | + | 0.266101i | ||||
\(612\) | −8.44277 | + | 7.61167i | −0.341279 | + | 0.307683i | ||||
\(613\) | 2.76151 | + | 3.46282i | 0.111536 | + | 0.139862i | 0.834466 | − | 0.551060i | \(-0.185776\pi\) |
−0.722930 | + | 0.690922i | \(0.757205\pi\) | |||||||
\(614\) | −2.24559 | − | 9.83856i | −0.0906245 | − | 0.397052i | ||||
\(615\) | −30.4445 | − | 17.8691i | −1.22764 | − | 0.720550i | ||||
\(616\) | −4.55341 | − | 1.82593i | −0.183462 | − | 0.0735689i | ||||
\(617\) | −7.19174 | − | 1.64147i | −0.289529 | − | 0.0660830i | 0.0752899 | − | 0.997162i | \(-0.476012\pi\) |
−0.364818 | + | 0.931079i | \(0.618869\pi\) | |||||||
\(618\) | −5.44730 | + | 5.78712i | −0.219122 | + | 0.232792i | ||||
\(619\) | 34.9838i | 1.40612i | 0.711132 | + | 0.703059i | \(0.248183\pi\) | ||||
−0.711132 | + | 0.703059i | \(0.751817\pi\) | |||||||
\(620\) | −16.6264 | − | 3.79486i | −0.667731 | − | 0.152405i | ||||
\(621\) | 6.49227 | − | 25.8698i | 0.260526 | − | 1.03812i | ||||
\(622\) | 13.4465 | − | 10.7233i | 0.539157 | − | 0.429963i | ||||
\(623\) | 5.80989 | − | 36.7078i | 0.232768 | − | 1.47067i | ||||
\(624\) | 17.5330 | − | 2.51441i | 0.701881 | − | 0.100657i | ||||
\(625\) | 5.76038 | − | 25.2379i | 0.230415 | − | 1.00951i | ||||
\(626\) | 3.80398 | − | 4.77004i | 0.152038 | − | 0.190649i | ||||
\(627\) | −0.447627 | + | 1.41511i | −0.0178765 | + | 0.0565142i | ||||
\(628\) | 2.85629 | − | 2.27782i | 0.113979 | − | 0.0908949i | ||||
\(629\) | −10.3132 | − | 4.96656i | −0.411213 | − | 0.198030i | ||||
\(630\) | −6.81161 | − | 18.5278i | −0.271381 | − | 0.738164i | ||||
\(631\) | −3.27399 | + | 1.57667i | −0.130335 | + | 0.0627662i | −0.497915 | − | 0.867226i | \(-0.665901\pi\) |
0.367580 | + | 0.929992i | \(0.380187\pi\) | |||||||
\(632\) | 10.6945 | − | 22.2074i | 0.425404 | − | 0.883361i | ||||
\(633\) | 21.1726 | + | 12.4270i | 0.841536 | + | 0.493930i | ||||
\(634\) | 30.2703 | + | 14.5774i | 1.20219 | + | 0.578943i | ||||
\(635\) | −7.10923 | + | 8.91469i | −0.282121 | + | 0.353769i | ||||
\(636\) | 11.6364 | + | 10.9531i | 0.461412 | + | 0.434318i | ||||
\(637\) | −28.5028 | + | 29.8245i | −1.12932 | + | 1.18169i | ||||
\(638\) | − | 0.0914307i | − | 0.00361978i | ||||||
\(639\) | −3.11345 | + | 4.42895i | −0.123166 | + | 0.175207i | ||||
\(640\) | 0.367779 | − | 0.763701i | 0.0145377 | − | 0.0301879i | ||||
\(641\) | −36.8614 | + | 8.41337i | −1.45594 | + | 0.332308i | −0.875984 | − | 0.482341i | \(-0.839787\pi\) |
−0.579954 | + | 0.814649i | \(0.696930\pi\) | |||||||
\(642\) | −5.39618 | + | 2.07338i | −0.212970 | + | 0.0818297i | ||||
\(643\) | −18.5870 | − | 38.5962i | −0.732998 | − | 1.52209i | −0.848742 | − | 0.528807i | \(-0.822639\pi\) |
0.115744 | − | 0.993279i | \(-0.463075\pi\) | |||||||
\(644\) | −4.07850 | + | 10.1707i | −0.160715 | + | 0.400783i | ||||
\(645\) | −13.0102 | + | 4.99893i | −0.512278 | + | 0.196833i | ||||
\(646\) | 4.53148 | + | 5.68230i | 0.178289 | + | 0.223567i | ||||
\(647\) | 34.2284 | − | 16.4835i | 1.34566 | − | 0.648034i | 0.384266 | − | 0.923222i | \(-0.374454\pi\) |
0.961390 | + | 0.275188i | \(0.0887401\pi\) | |||||||
\(648\) | 23.4918 | + | 14.4755i | 0.922846 | + | 0.568652i | ||||
\(649\) | 0.245513 | + | 0.0560368i | 0.00963723 | + | 0.00219964i | ||||
\(650\) | 0.739180 | − | 0.926903i | 0.0289930 | − | 0.0363561i | ||||
\(651\) | 19.0119 | − | 38.0540i | 0.745137 | − | 1.49145i | ||||
\(652\) | 1.63400 | + | 2.04898i | 0.0639925 | + | 0.0802441i | ||||
\(653\) | 8.84136 | + | 18.3593i | 0.345989 | + | 0.718454i | 0.999252 | − | 0.0386776i | \(-0.0123145\pi\) |
−0.653263 | + | 0.757131i | \(0.726600\pi\) | |||||||
\(654\) | 13.5122 | − | 9.07140i | 0.528368 | − | 0.354720i | ||||
\(655\) | 21.5160 | 0.840700 | ||||||||
\(656\) | 15.5323 | 0.606433 | ||||||||
\(657\) | 3.32925 | − | 20.1278i | 0.129887 | − | 0.785262i | ||||
\(658\) | −11.9158 | − | 8.25338i | −0.464526 | − | 0.321750i | ||||
\(659\) | −27.5041 | + | 6.27764i | −1.07141 | + | 0.244542i | −0.721622 | − | 0.692287i | \(-0.756603\pi\) |
−0.349787 | + | 0.936829i | \(0.613746\pi\) | |||||||
\(660\) | 0.974142 | − | 1.65970i | 0.0379184 | − | 0.0646038i | ||||
\(661\) | −10.9199 | + | 8.70832i | −0.424734 | + | 0.338714i | −0.812415 | − | 0.583079i | \(-0.801848\pi\) |
0.387681 | + | 0.921794i | \(0.373276\pi\) | |||||||
\(662\) | −15.0668 | + | 12.0153i | −0.585587 | + | 0.466990i | ||||
\(663\) | 24.2647 | − | 41.3411i | 0.942361 | − | 1.60556i | ||||
\(664\) | 23.6954 | − | 5.40833i | 0.919561 | − | 0.209884i | ||||
\(665\) | 8.17457 | − | 2.45567i | 0.316996 | − | 0.0952269i | ||||
\(666\) | −1.30348 | + | 7.88050i | −0.0505087 | + | 0.305363i | ||||
\(667\) | −0.710432 | −0.0275080 | ||||||||
\(668\) | −11.0476 | −0.427446 | ||||||||
\(669\) | 8.23847 | − | 5.53089i | 0.318517 | − | 0.213837i | ||||
\(670\) | −11.2370 | − | 23.3338i | −0.434122 | − | 0.901464i | ||||
\(671\) | −1.51101 | − | 1.89474i | −0.0583318 | − | 0.0731457i | ||||
\(672\) | −15.0013 | − | 12.3240i | −0.578687 | − | 0.475408i | ||||
\(673\) | −2.36372 | + | 2.96401i | −0.0911147 | + | 0.114254i | −0.825299 | − | 0.564696i | \(-0.808993\pi\) |
0.734184 | + | 0.678950i | \(0.237565\pi\) | |||||||
\(674\) | −22.5106 | − | 5.13790i | −0.867076 | − | 0.197904i | ||||
\(675\) | 0.937319 | − | 0.192852i | 0.0360774 | − | 0.00742289i | ||||
\(676\) | 15.7992 | − | 7.60850i | 0.607662 | − | 0.292635i | ||||
\(677\) | −1.73186 | − | 2.17169i | −0.0665609 | − | 0.0834647i | 0.747436 | − | 0.664333i | \(-0.231284\pi\) |
−0.813997 | + | 0.580869i | \(0.802713\pi\) | |||||||
\(678\) | −6.12801 | + | 2.35457i | −0.235345 | + | 0.0904266i | ||||
\(679\) | 8.00888 | − | 7.32203i | 0.307353 | − | 0.280994i | ||||
\(680\) | −14.2236 | − | 29.5356i | −0.545450 | − | 1.13264i | ||||
\(681\) | 0.617357 | − | 0.237207i | 0.0236572 | − | 0.00908981i | ||||
\(682\) | −5.97850 | + | 1.36455i | −0.228928 | + | 0.0522514i | ||||
\(683\) | −4.11146 | + | 8.53754i | −0.157321 | + | 0.326680i | −0.964699 | − | 0.263354i | \(-0.915171\pi\) |
0.807379 | + | 0.590034i | \(0.200886\pi\) | |||||||
\(684\) | −1.97246 | + | 2.80587i | −0.0754188 | + | 0.107285i | ||||
\(685\) | 42.1579i | 1.61077i | ||||||||
\(686\) | −20.2247 | − | 0.447361i | −0.772184 | − | 0.0170803i | ||||
\(687\) | 16.9118 | + | 15.9187i | 0.645225 | + | 0.607337i | ||||
\(688\) | 3.82351 | − | 4.79453i | 0.145770 | − | 0.182790i | ||||
\(689\) | −60.7155 | − | 29.2390i | −2.31308 | − | 1.11392i | ||||
\(690\) | 19.0694 | + | 11.1925i | 0.725958 | + | 0.426092i | ||||
\(691\) | −12.3603 | + | 25.6665i | −0.470209 | + | 0.976398i | 0.522132 | + | 0.852865i | \(0.325137\pi\) |
−0.992340 | + | 0.123533i | \(0.960577\pi\) | |||||||
\(692\) | −4.24479 | + | 2.04418i | −0.161363 | + | 0.0777081i | ||||
\(693\) | 3.44724 | + | 3.34062i | 0.130950 | + | 0.126900i | ||||
\(694\) | 1.82279 | + | 0.877809i | 0.0691921 | + | 0.0333212i | ||||
\(695\) | 24.5179 | − | 19.5524i | 0.930018 | − | 0.741665i | ||||
\(696\) | 0.221663 | − | 0.700758i | 0.00840211 | − | 0.0265622i | ||||
\(697\) | 26.2089 | − | 32.8650i | 0.992735 | − | 1.24485i | ||||
\(698\) | −3.57612 | + | 15.6680i | −0.135358 | + | 0.593043i | ||||
\(699\) | −6.06228 | + | 0.869393i | −0.229297 | + | 0.0328835i | ||||
\(700\) | −0.392264 | + | 0.0264897i | −0.0148262 | + | 0.00100122i | ||||
\(701\) | −4.98908 | + | 3.97866i | −0.188435 | + | 0.150272i | −0.713163 | − | 0.700998i | \(-0.752738\pi\) |
0.524729 | + | 0.851270i | \(0.324167\pi\) | |||||||
\(702\) | −32.4438 | − | 8.14208i | −1.22451 | − | 0.307303i | ||||
\(703\) | −3.36715 | − | 0.768529i | −0.126994 | − | 0.0289856i | ||||
\(704\) | 4.89753i | 0.184583i | ||||||||
\(705\) | 13.5573 | − | 14.4031i | 0.510598 | − | 0.542451i | ||||
\(706\) | 16.7754 | + | 3.82886i | 0.631349 | + | 0.144101i | ||||
\(707\) | −13.4755 | − | 44.8580i | −0.506800 | − | 1.68706i | ||||
\(708\) | 0.501870 | + | 0.294566i | 0.0188614 | + | 0.0110705i | ||||
\(709\) | −3.42143 | − | 14.9903i | −0.128495 | − | 0.562971i | −0.997655 | − | 0.0684415i | \(-0.978197\pi\) |
0.869161 | − | 0.494530i | \(-0.164660\pi\) | |||||||
\(710\) | −2.79828 | − | 3.50893i | −0.105018 | − | 0.131688i | ||||
\(711\) | −17.9129 | + | 16.1496i | −0.671787 | + | 0.605657i | ||||
\(712\) | −41.9876 | + | 9.58339i | −1.57355 | + | 0.359153i | ||||
\(713\) | 10.6028 | + | 46.4539i | 0.397078 | + | 1.73971i | ||||
\(714\) | 22.9905 | − | 4.89704i | 0.860396 | − | 0.183267i | ||||
\(715\) | −1.80585 | + | 7.91194i | −0.0675349 | + | 0.295890i | ||||
\(716\) | − | 8.90835i | − | 0.332921i | ||||||
\(717\) | −25.1231 | − | 23.6479i | −0.938240 | − | 0.883146i | ||||
\(718\) | −3.34903 | + | 14.6731i | −0.124985 | + | 0.547594i | ||||
\(719\) | 9.53515 | − | 4.59189i | 0.355601 | − | 0.171249i | −0.247551 | − | 0.968875i | \(-0.579626\pi\) |
0.603152 | + | 0.797626i | \(0.293911\pi\) | |||||||
\(720\) | −8.80299 | + | 7.93643i | −0.328068 | + | 0.295773i | ||||
\(721\) | −10.6443 | + | 3.19760i | −0.396416 | + | 0.119085i | ||||
\(722\) | −14.5114 | − | 11.5725i | −0.540059 | − | 0.430683i | ||||
\(723\) | 5.43101 | − | 3.64611i | 0.201982 | − | 0.135600i | ||||
\(724\) | 4.01805 | + | 3.20429i | 0.149330 | + | 0.119086i | ||||
\(725\) | −0.0110594 | − | 0.0229651i | −0.000410735 | − | 0.000852901i | ||||
\(726\) | −1.64713 | + | 20.0516i | −0.0611307 | + | 0.744184i | ||||
\(727\) | 11.0076 | − | 22.8575i | 0.408249 | − | 0.847738i | −0.590910 | − | 0.806738i | \(-0.701231\pi\) |
0.999159 | − | 0.0410007i | \(-0.0130546\pi\) | |||||||
\(728\) | 44.3717 | + | 17.7932i | 1.64452 | + | 0.659460i | ||||
\(729\) | −15.9120 | − | 21.8130i | −0.589334 | − | 0.807890i | ||||
\(730\) | 15.2380 | + | 7.33824i | 0.563984 | + | 0.271601i | ||||
\(731\) | −3.69308 | − | 16.1804i | −0.136594 | − | 0.598455i | ||||
\(732\) | −2.00861 | − | 5.22762i | −0.0742404 | − | 0.193218i | ||||
\(733\) | 14.8576 | + | 11.8485i | 0.548776 | + | 0.437635i | 0.858219 | − | 0.513284i | \(-0.171571\pi\) |
−0.309443 | + | 0.950918i | \(0.600143\pi\) | |||||||
\(734\) | 17.6396 | 0.651089 | ||||||||
\(735\) | 4.71131 | − | 27.2007i | 0.173779 | − | 1.00331i | ||||
\(736\) | 21.7464 | 0.801584 | ||||||||
\(737\) | 4.92389 | + | 3.92667i | 0.181374 | + | 0.144641i | ||||
\(738\) | −27.1488 | − | 11.1064i | −0.999361 | − | 0.408832i | ||||
\(739\) | −6.04241 | − | 26.4735i | −0.222273 | − | 0.973844i | −0.955762 | − | 0.294142i | \(-0.904966\pi\) |
0.733488 | − | 0.679702i | \(-0.237891\pi\) | |||||||
\(740\) | 4.03469 | + | 1.94300i | 0.148318 | + | 0.0714262i | ||||
\(741\) | 4.36200 | − | 13.7899i | 0.160242 | − | 0.506585i | ||||
\(742\) | −9.50725 | − | 31.6482i | −0.349022 | − | 1.16184i | ||||
\(743\) | 3.16077 | − | 6.56341i | 0.115957 | − | 0.240788i | −0.834910 | − | 0.550387i | \(-0.814480\pi\) |
0.950867 | + | 0.309598i | \(0.100195\pi\) | |||||||
\(744\) | −49.1295 | − | 4.03573i | −1.80118 | − | 0.147957i | ||||
\(745\) | −13.3022 | − | 27.6223i | −0.487355 | − | 1.01200i | ||||
\(746\) | 1.07356 | + | 0.856139i | 0.0393060 | + | 0.0313455i | ||||
\(747\) | −23.4631 | − | 3.88093i | −0.858472 | − | 0.141996i | ||||
\(748\) | 1.79165 | + | 1.42880i | 0.0655093 | + | 0.0522419i | ||||
\(749\) | −7.98476 | − | 1.26378i | −0.291757 | − | 0.0461774i | ||||
\(750\) | 1.69837 | − | 20.6754i | 0.0620157 | − | 0.754958i | ||||
\(751\) | 43.4478 | − | 20.9233i | 1.58543 | − | 0.763504i | 0.586510 | − | 0.809942i | \(-0.300501\pi\) |
0.998921 | + | 0.0464382i | \(0.0147871\pi\) | |||||||
\(752\) | −1.93662 | + | 8.48487i | −0.0706211 | + | 0.309411i | ||||
\(753\) | −25.4471 | + | 27.0346i | −0.927344 | + | 0.985195i | ||||
\(754\) | 0.890967i | 0.0324471i | ||||||||
\(755\) | −6.93604 | + | 30.3888i | −0.252428 | + | 1.10596i | ||||
\(756\) | 5.26692 | + | 9.76263i | 0.191556 | + | 0.355063i | ||||
\(757\) | −4.78914 | − | 20.9826i | −0.174064 | − | 0.762626i | −0.984297 | − | 0.176518i | \(-0.943517\pi\) |
0.810233 | − | 0.586108i | \(-0.199341\pi\) | |||||||
\(758\) | 6.08175 | − | 1.38812i | 0.220899 | − | 0.0504188i | ||||
\(759\) | −5.35889 | − | 0.440204i | −0.194515 | − | 0.0159784i | ||||
\(760\) | −6.16698 | − | 7.73315i | −0.223700 | − | 0.280511i | ||||
\(761\) | 6.39521 | + | 28.0192i | 0.231826 | + | 1.01570i | 0.948124 | + | 0.317901i | \(0.102978\pi\) |
−0.716298 | + | 0.697795i | \(0.754165\pi\) | |||||||
\(762\) | −4.79588 | + | 8.17103i | −0.173737 | + | 0.296005i | ||||
\(763\) | 22.7077 | − | 1.53346i | 0.822076 | − | 0.0555150i | ||||
\(764\) | 17.4326 | + | 3.97887i | 0.630688 | + | 0.143951i | ||||
\(765\) | 1.93877 | + | 32.0182i | 0.0700964 | + | 1.15762i | ||||
\(766\) | 27.1291i | 0.980213i | ||||||||
\(767\) | −2.39246 | − | 0.546063i | −0.0863866 | − | 0.0197172i | ||||
\(768\) | −8.24785 | + | 26.0745i | −0.297619 | + | 0.940882i | ||||
\(769\) | 2.04956 | − | 1.63447i | 0.0739090 | − | 0.0589405i | −0.585838 | − | 0.810428i | \(-0.699235\pi\) |
0.659747 | + | 0.751487i | \(0.270663\pi\) | |||||||
\(770\) | −3.46095 | + | 1.96430i | −0.124724 | + | 0.0707886i | ||||
\(771\) | −2.68794 | − | 18.7431i | −0.0968040 | − | 0.675015i | ||||
\(772\) | 3.78237 | − | 16.5716i | 0.136130 | − | 0.596426i | ||||
\(773\) | −29.3199 | + | 36.7660i | −1.05457 | + | 1.32238i | −0.110046 | + | 0.993927i | \(0.535100\pi\) |
−0.944519 | + | 0.328456i | \(0.893472\pi\) | |||||||
\(774\) | −10.1114 | + | 5.64633i | −0.363448 | + | 0.202953i | ||||
\(775\) | −1.33659 | + | 1.06589i | −0.0480117 | + | 0.0382881i | ||||
\(776\) | −11.3296 | − | 5.45605i | −0.406709 | − | 0.195861i | ||||
\(777\) | −7.09069 | + | 8.63109i | −0.254377 | + | 0.309639i | ||||
\(778\) | 0.688323 | − | 0.331479i | 0.0246776 | − | 0.0118841i | ||||
\(779\) | 5.50301 | − | 11.4271i | 0.197166 | − | 0.409419i | ||||
\(780\) | −9.49274 | + | 16.1733i | −0.339895 | + | 0.579098i | ||||
\(781\) | 0.983312 | + | 0.473538i | 0.0351857 | + | 0.0169445i | ||||
\(782\) | −16.4163 | + | 20.5854i | −0.587047 | + | 0.736133i | ||||
\(783\) | −0.460369 | + | 0.552508i | −0.0164522 | + | 0.0197450i | ||||
\(784\) | 4.27036 | + | 11.3709i | 0.152513 | + | 0.406102i | ||||
\(785\) | − | 10.3091i | − | 0.367947i | ||||||
\(786\) | 17.6972 | − | 2.53796i | 0.631238 | − | 0.0905259i | ||||
\(787\) | 6.00248 | − | 12.4643i | 0.213965 | − | 0.444304i | −0.766169 | − | 0.642639i | \(-0.777839\pi\) |
0.980134 | + | 0.198336i | \(0.0635537\pi\) | |||||||
\(788\) | 15.3732 | − | 3.50882i | 0.547646 | − | 0.124997i | ||||
\(789\) | 1.01882 | + | 2.65158i | 0.0362709 | + | 0.0943988i | ||||
\(790\) | −8.67513 | − | 18.0141i | −0.308647 | − | 0.640913i | ||||
\(791\) | −9.06765 | − | 1.43517i | −0.322408 | − | 0.0510288i | ||||
\(792\) | 2.10624 | − | 5.14856i | 0.0748421 | − | 0.182946i | ||||
\(793\) | 14.7243 | + | 18.4637i | 0.522877 | + | 0.655666i | ||||
\(794\) | −12.6715 | + | 6.10229i | −0.449696 | + | 0.216562i | ||||
\(795\) | 44.6374 | − | 6.40145i | 1.58313 | − | 0.227036i | ||||
\(796\) | −6.86567 | − | 1.56704i | −0.243347 | − | 0.0555424i | ||||
\(797\) | 10.6889 | − | 13.4035i | 0.378621 | − | 0.474775i | −0.555611 | − | 0.831442i | \(-0.687516\pi\) |
0.934231 | + | 0.356667i | \(0.116087\pi\) | |||||||
\(798\) | 6.43402 | − | 2.98407i | 0.227762 | − | 0.105635i | ||||
\(799\) | 14.6854 | + | 18.4150i | 0.519534 | + | 0.651475i | ||||
\(800\) | 0.338529 | + | 0.702963i | 0.0119688 | + | 0.0248535i | ||||
\(801\) | 41.5760 | + | 6.87689i | 1.46902 | + | 0.242983i | ||||
\(802\) | 34.8227 | 1.22963 | ||||||||
\(803\) | −4.11280 | −0.145138 | ||||||||
\(804\) | 8.11190 | + | 12.0830i | 0.286085 | + | 0.426134i | ||||
\(805\) | 15.2630 | + | 26.8921i | 0.537949 | + | 0.947823i | ||||
\(806\) | 58.2588 | − | 13.2972i | 2.05208 | − | 0.468373i | ||||
\(807\) | 6.25864 | + | 3.67343i | 0.220314 | + | 0.129311i | ||||
\(808\) | −42.4357 | + | 33.8414i | −1.49288 | + | 1.19054i | ||||
\(809\) | 32.9445 | − | 26.2723i | 1.15827 | − | 0.923686i | 0.160277 | − | 0.987072i | \(-0.448761\pi\) |
0.997989 | + | 0.0633858i | \(0.0201899\pi\) | |||||||
\(810\) | 21.0617 | − | 7.57746i | 0.740032 | − | 0.266245i | ||||
\(811\) | 17.5326 | − | 4.00170i | 0.615653 | − | 0.140519i | 0.0966885 | − | 0.995315i | \(-0.469175\pi\) |
0.518964 | + | 0.854796i | \(0.326318\pi\) | |||||||
\(812\) | 0.218067 | − | 0.199366i | 0.00765266 | − | 0.00699636i | ||||
\(813\) | −36.2939 | + | 24.3659i | −1.27288 | + | 0.854550i | ||||
\(814\) | 1.61025 | 0.0564394 | ||||||||
\(815\) | 7.39527 | 0.259045 | ||||||||
\(816\) | −7.86676 | − | 11.7178i | −0.275392 | − | 0.410206i | ||||
\(817\) | −2.17269 | − | 4.51164i | −0.0760129 | − | 0.157842i | ||||
\(818\) | 19.9392 | + | 25.0030i | 0.697159 | + | 0.874209i | ||||
\(819\) | −33.5924 | − | 32.5534i | −1.17381 | − | 1.13751i | ||||
\(820\) | −10.2534 | + | 12.8573i | −0.358063 | + | 0.448997i | ||||
\(821\) | 18.9345 | + | 4.32167i | 0.660818 | + | 0.150827i | 0.539761 | − | 0.841818i | \(-0.318515\pi\) |
0.121057 | + | 0.992646i | \(0.461372\pi\) | |||||||
\(822\) | 4.97281 | + | 34.6754i | 0.173447 | + | 1.20944i | ||||
\(823\) | −38.2430 | + | 18.4169i | −1.33307 | + | 0.641972i | −0.958464 | − | 0.285213i | \(-0.907936\pi\) |
−0.374604 | + | 0.927185i | \(0.622221\pi\) | |||||||
\(824\) | 8.03021 | + | 10.0696i | 0.279745 | + | 0.350790i | ||||
\(825\) | −0.0691927 | − | 0.180081i | −0.00240898 | − | 0.00626962i | ||||
\(826\) | −0.593977 | − | 1.04654i | −0.0206671 | − | 0.0364138i | ||||
\(827\) | 8.32562 | + | 17.2883i | 0.289510 | + | 0.601174i | 0.994103 | − | 0.108437i | \(-0.0345847\pi\) |
−0.704593 | + | 0.709612i | \(0.748870\pi\) | |||||||
\(828\) | −11.5001 | − | 4.70461i | −0.399656 | − | 0.163497i | ||||
\(829\) | 48.4970 | − | 11.0691i | 1.68437 | − | 0.384446i | 0.730087 | − | 0.683354i | \(-0.239479\pi\) |
0.954282 | + | 0.298907i | \(0.0966222\pi\) | |||||||
\(830\) | 8.55423 | − | 17.7630i | 0.296922 | − | 0.616564i | ||||
\(831\) | 1.17719 | + | 8.20859i | 0.0408364 | + | 0.284753i | ||||
\(832\) | − | 47.7251i | − | 1.65457i | ||||||
\(833\) | 31.2655 | + | 10.1513i | 1.08329 | + | 0.351722i | ||||
\(834\) | 17.8600 | − | 18.9741i | 0.618440 | − | 0.657021i | ||||
\(835\) | −19.4370 | + | 24.3732i | −0.672645 | + | 0.843471i | ||||
\(836\) | 0.622956 | + | 0.300000i | 0.0215454 | + | 0.0103757i | ||||
\(837\) | 42.9983 | + | 21.8569i | 1.48624 | + | 0.755484i | ||||
\(838\) | −9.00653 | + | 18.7023i | −0.311125 | + | 0.646059i | ||||
\(839\) | −20.2210 | + | 9.73791i | −0.698105 | + | 0.336190i | −0.749052 | − | 0.662512i | \(-0.769491\pi\) |
0.0509462 | + | 0.998701i | \(0.483776\pi\) | |||||||
\(840\) | −31.2882 | + | 6.66448i | −1.07954 | + | 0.229946i | ||||
\(841\) | −26.1108 | − | 12.5743i | −0.900374 | − | 0.433597i | ||||
\(842\) | −28.6720 | + | 22.8651i | −0.988102 | + | 0.787985i | ||||
\(843\) | 12.3643 | + | 3.91106i | 0.425849 | + | 0.134704i | ||||
\(844\) | 7.13070 | − | 8.94162i | 0.245449 | − | 0.307783i | ||||
\(845\) | 11.0110 | − | 48.2424i | 0.378790 | − | 1.65959i | ||||
\(846\) | 9.45213 | − | 13.4459i | 0.324971 | − | 0.462279i | ||||
\(847\) | −16.0203 | + | 23.1292i | −0.550463 | + | 0.794729i | ||||
\(848\) | −15.5124 | + | 12.3707i | −0.532697 | + | 0.424812i | ||||
\(849\) | 6.53390 | + | 2.06680i | 0.224243 | + | 0.0709322i | ||||
\(850\) | −0.920988 | − | 0.210210i | −0.0315896 | − | 0.00721013i | ||||
\(851\) | − | 12.5120i | − | 0.428904i | ||||||
\(852\) | 1.83645 | + | 1.72861i | 0.0629157 | + | 0.0592212i | ||||
\(853\) | −40.4211 | − | 9.22584i | −1.38399 | − | 0.315887i | −0.535249 | − | 0.844694i | \(-0.679782\pi\) |
−0.848742 | + | 0.528808i | \(0.822639\pi\) | |||||||
\(854\) | −1.81035 | + | 11.4381i | −0.0619490 | + | 0.391404i | ||||
\(855\) | 2.71999 | + | 9.28821i | 0.0930216 | + | 0.317650i | ||||
\(856\) | 2.08460 | + | 9.13322i | 0.0712501 | + | 0.312167i | ||||
\(857\) | −35.5973 | − | 44.6376i | −1.21598 | − | 1.52479i | −0.781235 | − | 0.624237i | \(-0.785410\pi\) |
−0.434745 | − | 0.900554i | \(-0.643161\pi\) | |||||||
\(858\) | −0.552068 | + | 6.72069i | −0.0188473 | + | 0.229440i | ||||
\(859\) | −18.0701 | + | 4.12438i | −0.616544 | + | 0.140722i | −0.519376 | − | 0.854546i | \(-0.673835\pi\) |
−0.0971678 | + | 0.995268i | \(0.530978\pi\) | |||||||
\(860\) | 1.44479 | + | 6.33006i | 0.0492671 | + | 0.215853i | ||||
\(861\) | −25.1070 | − | 32.4393i | −0.855644 | − | 1.10553i | ||||
\(862\) | −1.38699 | + | 6.07681i | −0.0472412 | + | 0.206977i | ||||
\(863\) | − | 13.8394i | − | 0.471100i | −0.971862 | − | 0.235550i | \(-0.924311\pi\) | ||
0.971862 | − | 0.235550i | \(-0.0756891\pi\) | |||||||
\(864\) | 14.0920 | − | 16.9123i | 0.479418 | − | 0.575369i | ||||
\(865\) | −2.95834 | + | 12.9613i | −0.100586 | + | 0.440698i | ||||
\(866\) | 9.98076 | − | 4.80648i | 0.339160 | − | 0.163331i | ||||
\(867\) | −8.72217 | − | 0.716479i | −0.296221 | − | 0.0243329i | ||||
\(868\) | −16.2907 | − | 11.2836i | −0.552943 | − | 0.382991i | ||||
\(869\) | 3.80133 | + | 3.03146i | 0.128951 | + | 0.102835i | ||||
\(870\) | −0.332315 | − | 0.494995i | −0.0112665 | − | 0.0167819i | ||||
\(871\) | −47.9820 | − | 38.2644i | −1.62581 | − | 1.29654i | ||||
\(872\) | −11.4433 | − | 23.7623i | −0.387520 | − | 0.804693i | ||||
\(873\) | 8.23909 | + | 9.13869i | 0.278851 | + | 0.309298i | ||||
\(874\) | −3.44688 | + | 7.15753i | −0.116593 | + | 0.242107i | ||||
\(875\) | 16.5186 | − | 23.8487i | 0.558432 | − | 0.806235i | ||||
\(876\) | −9.06148 | − | 2.86632i | −0.306159 | − | 0.0968438i | ||||
\(877\) | −38.2956 | − | 18.4422i | −1.29315 | − | 0.622748i | −0.344413 | − | 0.938818i | \(-0.611922\pi\) |
−0.948736 | + | 0.316071i | \(0.897636\pi\) | |||||||
\(878\) | 3.56380 | + | 15.6140i | 0.120272 | + | 0.526948i | ||||
\(879\) | 10.9907 | − | 4.22298i | 0.370709 | − | 0.142437i | ||||
\(880\) | 1.86810 | + | 1.48976i | 0.0629735 | + | 0.0502197i | ||||
\(881\) | −2.16773 | −0.0730326 | −0.0365163 | − | 0.999333i | \(-0.511626\pi\) | ||||
−0.0365163 | + | 0.999333i | \(0.511626\pi\) | |||||||
\(882\) | 0.666617 | − | 22.9286i | 0.0224462 | − | 0.772047i | ||||
\(883\) | −25.3214 | −0.852134 | −0.426067 | − | 0.904692i | \(-0.640101\pi\) | ||||
−0.426067 | + | 0.904692i | \(0.640101\pi\) | |||||||
\(884\) | −17.4592 | − | 13.9232i | −0.587215 | − | 0.468288i | ||||
\(885\) | 1.53285 | − | 0.588968i | 0.0515262 | − | 0.0197979i | ||||
\(886\) | −4.31910 | − | 18.9232i | −0.145103 | − | 0.635738i | ||||
\(887\) | 8.90077 | + | 4.28639i | 0.298859 | + | 0.143923i | 0.577304 | − | 0.816529i | \(-0.304105\pi\) |
−0.278445 | + | 0.960452i | \(0.589819\pi\) | |||||||
\(888\) | 12.3416 | + | 3.90387i | 0.414156 | + | 0.131005i | ||||
\(889\) | −11.5230 | + | 6.54003i | −0.386470 | + | 0.219346i | ||||
\(890\) | −15.1578 | + | 31.4756i | −0.508092 | + | 1.05506i | ||||
\(891\) | −3.81498 | + | 3.88238i | −0.127807 | + | 0.130065i | ||||
\(892\) | −2.00567 | − | 4.16481i | −0.0671546 | − | 0.139448i | ||||
\(893\) | 5.55620 | + | 4.43092i | 0.185931 | + | 0.148275i | ||||
\(894\) | −14.1995 | − | 21.1506i | −0.474901 | − | 0.707382i | ||||
\(895\) | −19.6536 | − | 15.6732i | −0.656946 | − | 0.523897i | ||||
\(896\) | 0.726954 | − | 0.664609i | 0.0242858 | − | 0.0222030i | ||||
\(897\) | 52.2209 | + | 4.28966i | 1.74360 | + | 0.143228i | ||||
\(898\) | −5.97927 | + | 2.87946i | −0.199531 | + | 0.0960890i | ||||
\(899\) | 0.285888 | − | 1.25256i | 0.00953491 | − | 0.0417752i | ||||
\(900\) | −0.0269447 | − | 0.444984i | −0.000898157 | − | 0.0148328i | ||||
\(901\) | 53.6971i | 1.78891i | ||||||||
\(902\) | −1.31584 | + | 5.76507i | −0.0438127 | + | 0.191956i | ||||
\(903\) | −16.1939 | − | 0.235357i | −0.538898 | − | 0.00783220i | ||||
\(904\) | 2.36731 | + | 10.3719i | 0.0787355 | + | 0.344963i | ||||
\(905\) | 14.1386 | − | 3.22704i | 0.469982 | − | 0.107270i | ||||
\(906\) | −2.12042 | + | 25.8133i | −0.0704463 | + | 0.857590i | ||||
\(907\) | 8.22784 | + | 10.3174i | 0.273201 | + | 0.342583i | 0.899437 | − | 0.437050i | \(-0.143977\pi\) |
−0.626236 | + | 0.779633i | \(0.715405\pi\) | |||||||
\(908\) | −0.0685579 | − | 0.300372i | −0.00227517 | − | 0.00996818i | ||||
\(909\) | 50.9692 | − | 14.9260i | 1.69054 | − | 0.495063i | ||||
\(910\) | 33.7260 | − | 19.1416i | 1.11800 | − | 0.634537i | ||||
\(911\) | 17.4812 | + | 3.98996i | 0.579177 | + | 0.132193i | 0.502066 | − | 0.864829i | \(-0.332573\pi\) |
0.0771106 | + | 0.997023i | \(0.475431\pi\) | |||||||
\(912\) | −3.10079 | − | 2.91871i | −0.102677 | − | 0.0966482i | ||||
\(913\) | 4.79432i | 0.158669i | ||||||||
\(914\) | −26.0646 | − | 5.94909i | −0.862142 | − | 0.196778i | ||||
\(915\) | −15.0671 | − | 4.76599i | −0.498102 | − | 0.157559i | ||||
\(916\) | 8.45908 | − | 6.74589i | 0.279496 | − | 0.222890i | ||||
\(917\) | 23.2055 | + | 9.30550i | 0.766315 | + | 0.307295i | ||||
\(918\) | 5.37142 | + | 26.1067i | 0.177283 | + | 0.861649i | ||||
\(919\) | −10.6108 | + | 46.4889i | −0.350018 | + | 1.53353i | 0.427118 | + | 0.904196i | \(0.359529\pi\) |
−0.777136 | + | 0.629333i | \(0.783328\pi\) | |||||||
\(920\) | 22.3413 | − | 28.0151i | 0.736570 | − | 0.923630i | ||||
\(921\) | 15.2570 | + | 4.82608i | 0.502736 | + | 0.159025i | ||||
\(922\) | −27.3686 | + | 21.8258i | −0.901338 | + | 0.718793i | ||||
\(923\) | −9.58210 | − | 4.61450i | −0.315399 | − | 0.151888i | ||||
\(924\) | 1.76844 | − | 1.36872i | 0.0581775 | − | 0.0450276i | ||||
\(925\) | 0.404455 | − | 0.194775i | 0.0132984 | − | 0.00640417i | ||||
\(926\) | −17.6645 | + | 36.6807i | −0.580491 | + | 1.20540i | ||||
\(927\) | −3.54178 | − | 12.0945i | −0.116327 | − | 0.397234i | ||||
\(928\) | −0.528291 | − | 0.254412i | −0.0173420 | − | 0.00835147i | ||||
\(929\) | 5.74888 | − | 7.20887i | 0.188615 | − | 0.236515i | −0.678529 | − | 0.734574i | \(-0.737382\pi\) |
0.867143 | + | 0.498059i | \(0.165954\pi\) | |||||||
\(930\) | −27.4073 | + | 29.1170i | −0.898719 | + | 0.954785i | ||||
\(931\) | 9.87853 | + | 0.886932i | 0.323756 | + | 0.0290680i | ||||
\(932\) | 2.85302i | 0.0934539i | ||||||||
\(933\) | 3.87146 | + | 26.9957i | 0.126746 | + | 0.883801i | ||||
\(934\) | 11.2452 | − | 23.3509i | 0.367955 | − | 0.764066i | ||||
\(935\) | 6.30440 | − | 1.43894i | 0.206176 | − | 0.0470583i | ||||
\(936\) | −20.5247 | + | 50.1713i | −0.670872 | + | 1.63990i | ||||
\(937\) | 23.3856 | + | 48.5607i | 0.763974 | + | 1.58641i | 0.809271 | + | 0.587436i | \(0.199863\pi\) |
−0.0452963 | + | 0.998974i | \(0.514423\pi\) | |||||||
\(938\) | −2.02766 | − | 30.0260i | −0.0662056 | − | 0.980384i | ||||
\(939\) | 3.46991 | + | 9.03079i | 0.113236 | + | 0.294709i | ||||
\(940\) | −5.74519 | − | 7.20424i | −0.187387 | − | 0.234976i | ||||
\(941\) | 26.1929 | − | 12.6138i | 0.853863 | − | 0.411199i | 0.0448527 | − | 0.998994i | \(-0.485718\pi\) |
0.809010 | + | 0.587795i | \(0.200004\pi\) | |||||||
\(942\) | −1.21603 | − | 8.47936i | −0.0396203 | − | 0.276272i | ||||
\(943\) | 44.7956 | + | 10.2243i | 1.45875 | + | 0.332949i | ||||
\(944\) | −0.450481 | + | 0.564885i | −0.0146619 | + | 0.0183854i | ||||
\(945\) | 30.8048 | + | 5.55634i | 1.00208 | + | 0.180748i | ||||
\(946\) | 1.45566 | + | 1.82534i | 0.0473275 | + | 0.0593468i | ||||
\(947\) | 6.38946 | + | 13.2679i | 0.207630 | + | 0.431147i | 0.978614 | − | 0.205707i | \(-0.0659495\pi\) |
−0.770984 | + | 0.636855i | \(0.780235\pi\) | |||||||
\(948\) | 6.26252 | + | 9.32826i | 0.203397 | + | 0.302968i | ||||
\(949\) | 40.0781 | 1.30099 | ||||||||
\(950\) | −0.285029 | −0.00924755 | ||||||||
\(951\) | −44.2318 | + | 29.6950i | −1.43432 | + | 0.962928i | ||||
\(952\) | −2.56659 | − | 38.0065i | −0.0831836 | − | 1.23180i | ||||
\(953\) | 12.9760 | − | 2.96169i | 0.420335 | − | 0.0959387i | −0.00712165 | − | 0.999975i | \(-0.502267\pi\) |
0.427456 | + | 0.904036i | \(0.359410\pi\) | |||||||
\(954\) | 35.9597 | − | 10.5306i | 1.16424 | − | 0.340939i | ||||
\(955\) | 39.4487 | − | 31.4593i | 1.27653 | − | 1.01800i | ||||
\(956\) | −12.5663 | + | 10.0213i | −0.406422 | + | 0.324111i | ||||
\(957\) | 0.125035 | + | 0.0733876i | 0.00404180 | + | 0.00237229i | ||||
\(958\) | −31.9669 | + | 7.29624i | −1.03280 | + | 0.235731i | ||||
\(959\) | −18.2330 | + | 45.4684i | −0.588773 | + | 1.46825i | ||||
\(960\) | 17.8006 | + | 26.5147i | 0.574512 | + | 0.855757i | ||||
\(961\) | −55.1694 | −1.77966 | ||||||||
\(962\) | −15.6915 | −0.505914 | ||||||||
\(963\) | 1.49587 | − | 9.04369i | 0.0482039 | − | 0.291429i | ||||
\(964\) | −1.32219 | − | 2.74555i | −0.0425848 | − | 0.0884282i | ||||
\(965\) | −29.9056 | − | 37.5005i | −0.962696 | − | 1.20718i | ||||
\(966\) | 15.7261 | + | 20.3188i | 0.505979 | + | 0.653745i | ||||
\(967\) | 27.4767 | − | 34.4547i | 0.883593 | − | 1.10799i | −0.109883 | − | 0.993945i | \(-0.535048\pi\) |
0.993476 | − | 0.114045i | \(-0.0363810\pi\) | |||||||
\(968\) | 31.7866 | + | 7.25509i | 1.02166 | + | 0.233188i | ||||
\(969\) | −11.4080 | + | 1.63602i | −0.366477 | + | 0.0525565i | ||||
\(970\) | −9.19032 | + | 4.42582i | −0.295083 | + | 0.142105i | ||||
\(971\) | 10.2573 | + | 12.8623i | 0.329173 | + | 0.412770i | 0.918686 | − | 0.394989i | \(-0.129252\pi\) |
−0.589513 | + | 0.807759i | \(0.700680\pi\) | |||||||
\(972\) | −11.1110 | + | 5.89505i | −0.356386 | + | 0.189084i | ||||
\(973\) | 34.8995 | − | 10.4839i | 1.11883 | − | 0.336100i | ||||
\(974\) | 15.1479 | + | 31.4550i | 0.485372 | + | 1.00788i | ||||
\(975\) | 0.674263 | + | 1.75484i | 0.0215937 | + | 0.0561999i | ||||
\(976\) | 6.77882 | − | 1.54722i | 0.216985 | − | 0.0495254i | ||||
\(977\) | 7.47218 | − | 15.5162i | 0.239056 | − | 0.496406i | −0.746578 | − | 0.665298i | \(-0.768305\pi\) |
0.985635 | + | 0.168892i | \(0.0540189\pi\) | |||||||
\(978\) | 6.08271 | − | 0.872321i | 0.194504 | − | 0.0278938i | ||||
\(979\) | − | 8.49539i | − | 0.271514i | ||||||
\(980\) | −12.2316 | − | 3.97137i | −0.390724 | − | 0.126861i | ||||
\(981\) | 1.55980 | + | 25.7596i | 0.0498006 | + | 0.822442i | ||||
\(982\) | −7.91867 | + | 9.92970i | −0.252695 | + | 0.316869i | ||||
\(983\) | −16.9230 | − | 8.14968i | −0.539759 | − | 0.259934i | 0.144081 | − | 0.989566i | \(-0.453977\pi\) |
−0.683841 | + | 0.729631i | \(0.739692\pi\) | |||||||
\(984\) | −24.0618 | + | 40.9955i | −0.767062 | + | 1.30689i | ||||
\(985\) | 19.3061 | − | 40.0895i | 0.615143 | − | 1.27736i | ||||
\(986\) | 0.639635 | − | 0.308032i | 0.0203701 | − | 0.00980973i | ||||
\(987\) | 20.8511 | − | 9.67064i | 0.663698 | − | 0.307820i | ||||
\(988\) | −6.07053 | − | 2.92341i | −0.193129 | − | 0.0930062i | ||||
\(989\) | 14.1832 | − | 11.3107i | 0.450999 | − | 0.359660i | ||||
\(990\) | −2.19998 | − | 3.93973i | −0.0699201 | − | 0.125213i | ||||
\(991\) | 0.233241 | − | 0.292475i | 0.00740913 | − | 0.00929076i | −0.778113 | − | 0.628124i | \(-0.783823\pi\) |
0.785522 | + | 0.618833i | \(0.212394\pi\) | |||||||
\(992\) | −8.75108 | + | 38.3410i | −0.277847 | + | 1.21733i | ||||
\(993\) | −4.33795 | − | 30.2486i | −0.137661 | − | 0.959909i | ||||
\(994\) | −1.50043 | − | 4.99471i | −0.0475908 | − | 0.158423i | ||||
\(995\) | −15.5365 | + | 12.3900i | −0.492541 | + | 0.392788i | ||||
\(996\) | −3.34128 | + | 10.5630i | −0.105873 | + | 0.334702i | ||||
\(997\) | −50.8598 | − | 11.6084i | −1.61075 | − | 0.367642i | −0.679972 | − | 0.733238i | \(-0.738008\pi\) |
−0.930774 | + | 0.365596i | \(0.880865\pi\) | |||||||
\(998\) | − | 33.2448i | − | 1.05235i | ||||||
\(999\) | −9.73062 | − | 8.10790i | −0.307863 | − | 0.256523i |
(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 | 147.2.k.a.104.5 | yes | 96 | |
3.2 | odd | 2 | inner | 147.2.k.a.104.12 | yes | 96 | |
49.41 | odd | 14 | inner | 147.2.k.a.41.12 | yes | 96 | |
147.41 | even | 14 | inner | 147.2.k.a.41.5 | ✓ | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.k.a.41.5 | ✓ | 96 | 147.41 | even | 14 | inner | |
147.2.k.a.41.12 | yes | 96 | 49.41 | odd | 14 | inner | |
147.2.k.a.104.5 | yes | 96 | 1.1 | even | 1 | trivial | |
147.2.k.a.104.12 | yes | 96 | 3.2 | odd | 2 | inner |