Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [121,2,Mod(12,121)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(121, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("121.12");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 121 = 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 121.e (of order \(11\), 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: | \(0.966189864457\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 23.4 | ||
Character | \(\chi\) | \(=\) | 121.23 |
Dual form | 121.2.e.a.100.4 |
$q$-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 \(\left(\mathbb{Z}/121\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.597130 | + | 1.30753i | −0.422235 | + | 0.924565i | 0.572289 | + | 0.820052i | \(0.306056\pi\) |
−0.994524 | + | 0.104513i | \(0.966672\pi\) | |||||||
\(3\) | −0.640035 | −0.369524 | −0.184762 | − | 0.982783i | \(-0.559152\pi\) | ||||
−0.184762 | + | 0.982783i | \(0.559152\pi\) | |||||||
\(4\) | −0.0433545 | − | 0.0500337i | −0.0216772 | − | 0.0250169i | ||||
\(5\) | −3.97756 | − | 1.16792i | −1.77882 | − | 0.522308i | −0.783713 | − | 0.621123i | \(-0.786677\pi\) |
−0.995106 | + | 0.0988141i | \(0.968495\pi\) | |||||||
\(6\) | 0.382184 | − | 0.836867i | 0.156026 | − | 0.341649i | ||||
\(7\) | 0.623172 | + | 4.33426i | 0.235537 | + | 1.63819i | 0.673490 | + | 0.739197i | \(0.264795\pi\) |
−0.437953 | + | 0.898998i | \(0.644296\pi\) | |||||||
\(8\) | −2.66710 | + | 0.783131i | −0.942962 | + | 0.276879i | ||||
\(9\) | −2.59035 | −0.863452 | ||||||||
\(10\) | 3.90221 | − | 4.50339i | 1.23399 | − | 1.42410i | ||||
\(11\) | 3.31624 | − | 0.0507878i | 0.999883 | − | 0.0153131i | ||||
\(12\) | 0.0277484 | + | 0.0320233i | 0.00801027 | + | 0.00924434i | ||||
\(13\) | −0.608526 | − | 0.702277i | −0.168775 | − | 0.194776i | 0.665061 | − | 0.746789i | \(-0.268406\pi\) |
−0.833836 | + | 0.552013i | \(0.813860\pi\) | |||||||
\(14\) | −6.03929 | − | 1.77330i | −1.61407 | − | 0.473933i | ||||
\(15\) | 2.54578 | + | 0.747508i | 0.657317 | + | 0.193006i | ||||
\(16\) | 0.587479 | − | 4.08601i | 0.146870 | − | 1.02150i | ||||
\(17\) | 2.51116 | + | 1.61382i | 0.609046 | + | 0.391410i | 0.808499 | − | 0.588497i | \(-0.200280\pi\) |
−0.199453 | + | 0.979907i | \(0.563917\pi\) | |||||||
\(18\) | 1.54678 | − | 3.38697i | 0.364579 | − | 0.798317i | ||||
\(19\) | −0.736041 | + | 0.473025i | −0.168859 | + | 0.108519i | −0.622341 | − | 0.782746i | \(-0.713818\pi\) |
0.453481 | + | 0.891266i | \(0.350182\pi\) | |||||||
\(20\) | 0.114010 | + | 0.249647i | 0.0254934 | + | 0.0558227i | ||||
\(21\) | −0.398852 | − | 2.77408i | −0.0870366 | − | 0.605353i | ||||
\(22\) | −1.91382 | + | 4.36641i | −0.408027 | + | 0.930922i | ||||
\(23\) | −0.753600 | + | 5.24141i | −0.157137 | + | 1.09291i | 0.746740 | + | 0.665116i | \(0.231618\pi\) |
−0.903877 | + | 0.427793i | \(0.859291\pi\) | |||||||
\(24\) | 1.70704 | − | 0.501231i | 0.348447 | − | 0.102313i | ||||
\(25\) | 10.2507 | + | 6.58772i | 2.05014 | + | 1.31754i | ||||
\(26\) | 1.28162 | − | 0.376317i | 0.251346 | − | 0.0738019i | ||||
\(27\) | 3.57802 | 0.688591 | ||||||||
\(28\) | 0.189842 | − | 0.219089i | 0.0358767 | − | 0.0414039i | ||||
\(29\) | 2.03939 | − | 1.31063i | 0.378705 | − | 0.243379i | −0.337415 | − | 0.941356i | \(-0.609553\pi\) |
0.716120 | + | 0.697977i | \(0.245916\pi\) | |||||||
\(30\) | −2.49755 | + | 2.88233i | −0.455988 | + | 0.526239i | ||||
\(31\) | −1.04055 | + | 1.20086i | −0.186889 | + | 0.215681i | −0.841460 | − | 0.540319i | \(-0.818304\pi\) |
0.654572 | + | 0.756000i | \(0.272849\pi\) | |||||||
\(32\) | 0.314927 | + | 0.202391i | 0.0556718 | + | 0.0357781i | ||||
\(33\) | −2.12251 | + | 0.0325060i | −0.369481 | + | 0.00565857i | ||||
\(34\) | −3.60962 | + | 2.31976i | −0.619044 | + | 0.397835i | ||||
\(35\) | 2.58335 | − | 17.9676i | 0.436666 | − | 3.03708i | ||||
\(36\) | 0.112303 | + | 0.129605i | 0.0187172 | + | 0.0216008i | ||||
\(37\) | −3.15579 | + | 3.64197i | −0.518808 | + | 0.598737i | −0.953332 | − | 0.301924i | \(-0.902371\pi\) |
0.434524 | + | 0.900660i | \(0.356917\pi\) | |||||||
\(38\) | −0.178983 | − | 1.24486i | −0.0290349 | − | 0.201942i | ||||
\(39\) | 0.389478 | + | 0.449482i | 0.0623664 | + | 0.0719747i | ||||
\(40\) | 11.5232 | 1.82197 | ||||||||
\(41\) | −2.06701 | + | 4.52611i | −0.322812 | + | 0.706860i | −0.999569 | − | 0.0293464i | \(-0.990657\pi\) |
0.676757 | + | 0.736206i | \(0.263385\pi\) | |||||||
\(42\) | 3.86536 | + | 1.13497i | 0.596438 | + | 0.175130i | ||||
\(43\) | 5.10405 | − | 1.49868i | 0.778360 | − | 0.228547i | 0.131663 | − | 0.991294i | \(-0.457968\pi\) |
0.646697 | + | 0.762747i | \(0.276150\pi\) | |||||||
\(44\) | −0.146315 | − | 0.163722i | −0.0220578 | − | 0.0246820i | ||||
\(45\) | 10.3033 | + | 3.02532i | 1.53592 | + | 0.450988i | ||||
\(46\) | −6.40331 | − | 4.11516i | −0.944116 | − | 0.606747i | ||||
\(47\) | −2.84451 | − | 6.22861i | −0.414915 | − | 0.908537i | −0.995538 | − | 0.0943641i | \(-0.969918\pi\) |
0.580623 | − | 0.814173i | \(-0.302809\pi\) | |||||||
\(48\) | −0.376007 | + | 2.61519i | −0.0542720 | + | 0.377470i | ||||
\(49\) | −11.6810 | + | 3.42985i | −1.66871 | + | 0.489978i | ||||
\(50\) | −14.7347 | + | 9.46938i | −2.08379 | + | 1.33917i | ||||
\(51\) | −1.60723 | − | 1.03290i | −0.225057 | − | 0.144636i | ||||
\(52\) | −0.00875518 | + | 0.0608936i | −0.00121413 | + | 0.00844443i | ||||
\(53\) | 1.28928 | + | 8.96711i | 0.177096 | + | 1.23173i | 0.863440 | + | 0.504451i | \(0.168305\pi\) |
−0.686345 | + | 0.727276i | \(0.740786\pi\) | |||||||
\(54\) | −2.13654 | + | 4.67838i | −0.290747 | + | 0.636647i | ||||
\(55\) | −13.2498 | − | 3.67108i | −1.78661 | − | 0.495008i | ||||
\(56\) | −5.05635 | − | 11.0719i | −0.675683 | − | 1.47954i | ||||
\(57\) | 0.471092 | − | 0.302753i | 0.0623977 | − | 0.0401006i | ||||
\(58\) | 0.495918 | + | 3.44918i | 0.0651172 | + | 0.452900i | ||||
\(59\) | −2.63232 | − | 5.76399i | −0.342700 | − | 0.750407i | 0.657295 | − | 0.753633i | \(-0.271700\pi\) |
−0.999995 | + | 0.00322587i | \(0.998973\pi\) | |||||||
\(60\) | −0.0729703 | − | 0.159783i | −0.00942042 | − | 0.0206278i | ||||
\(61\) | −3.69025 | − | 8.08052i | −0.472488 | − | 1.03460i | −0.984461 | − | 0.175603i | \(-0.943813\pi\) |
0.511973 | − | 0.859001i | \(-0.328915\pi\) | |||||||
\(62\) | −0.948821 | − | 2.07763i | −0.120500 | − | 0.263859i | ||||
\(63\) | −1.61424 | − | 11.2273i | −0.203375 | − | 1.41450i | ||||
\(64\) | 6.49275 | − | 4.17263i | 0.811593 | − | 0.521579i | ||||
\(65\) | 1.60025 | + | 3.50406i | 0.198486 | + | 0.434625i | ||||
\(66\) | 1.22491 | − | 2.79466i | 0.150776 | − | 0.343999i | ||||
\(67\) | −2.62345 | + | 5.74455i | −0.320505 | + | 0.701808i | −0.999476 | − | 0.0323564i | \(-0.989699\pi\) |
0.678971 | + | 0.734165i | \(0.262426\pi\) | |||||||
\(68\) | −0.0281243 | − | 0.195609i | −0.00341058 | − | 0.0237211i | ||||
\(69\) | 0.482331 | − | 3.35468i | 0.0580658 | − | 0.403857i | ||||
\(70\) | 21.9506 | + | 14.1068i | 2.62360 | + | 1.68608i | ||||
\(71\) | −3.45927 | + | 2.22314i | −0.410539 | + | 0.263838i | −0.729569 | − | 0.683907i | \(-0.760279\pi\) |
0.319030 | + | 0.947745i | \(0.396643\pi\) | |||||||
\(72\) | 6.90873 | − | 2.02859i | 0.814202 | − | 0.239071i | ||||
\(73\) | 0.847223 | − | 5.89257i | 0.0991600 | − | 0.689673i | −0.878232 | − | 0.478236i | \(-0.841277\pi\) |
0.977392 | − | 0.211437i | \(-0.0678144\pi\) | |||||||
\(74\) | −2.87758 | − | 6.30102i | −0.334512 | − | 0.732479i | ||||
\(75\) | −6.56080 | − | 4.21637i | −0.757576 | − | 0.486865i | ||||
\(76\) | 0.0555779 | + | 0.0163191i | 0.00637522 | + | 0.00187193i | ||||
\(77\) | 2.28671 | + | 14.3418i | 0.260595 | + | 1.63440i | ||||
\(78\) | −0.820281 | + | 0.240856i | −0.0928785 | + | 0.0272716i | ||||
\(79\) | 2.78807 | + | 0.818652i | 0.313683 | + | 0.0921056i | 0.434785 | − | 0.900535i | \(-0.356825\pi\) |
−0.121102 | + | 0.992640i | \(0.538643\pi\) | |||||||
\(80\) | −7.10885 | + | 15.5662i | −0.794794 | + | 1.74036i | ||||
\(81\) | 5.48100 | 0.609000 | ||||||||
\(82\) | −4.68376 | − | 5.40535i | −0.517235 | − | 0.596921i | ||||
\(83\) | 0.586961 | + | 4.08241i | 0.0644274 | + | 0.448102i | 0.996344 | + | 0.0854301i | \(0.0272264\pi\) |
−0.931917 | + | 0.362672i | \(0.881864\pi\) | |||||||
\(84\) | −0.121505 | + | 0.140225i | −0.0132573 | + | 0.0152998i | ||||
\(85\) | −8.10348 | − | 9.35191i | −0.878946 | − | 1.01436i | ||||
\(86\) | −1.08820 | + | 7.56862i | −0.117344 | + | 0.816145i | ||||
\(87\) | −1.30528 | + | 0.838852i | −0.139941 | + | 0.0899344i | ||||
\(88\) | −8.80495 | + | 2.73250i | −0.938611 | + | 0.291286i | ||||
\(89\) | 6.74142 | + | 4.33245i | 0.714589 | + | 0.459238i | 0.846751 | − | 0.531990i | \(-0.178556\pi\) |
−0.132162 | + | 0.991228i | \(0.542192\pi\) | |||||||
\(90\) | −10.1081 | + | 11.6654i | −1.06549 | + | 1.22964i | ||||
\(91\) | 2.66463 | − | 3.07515i | 0.279329 | − | 0.322363i | ||||
\(92\) | 0.294919 | − | 0.189533i | 0.0307474 | − | 0.0197602i | ||||
\(93\) | 0.665991 | − | 0.768594i | 0.0690600 | − | 0.0796995i | ||||
\(94\) | 9.84265 | 1.01519 | ||||||||
\(95\) | 3.48010 | − | 1.02185i | 0.357051 | − | 0.104840i | ||||
\(96\) | −0.201564 | − | 0.129538i | −0.0205721 | − | 0.0132209i | ||||
\(97\) | 8.12344 | − | 2.38526i | 0.824810 | − | 0.242186i | 0.158024 | − | 0.987435i | \(-0.449488\pi\) |
0.666786 | + | 0.745249i | \(0.267669\pi\) | |||||||
\(98\) | 2.49043 | − | 17.3213i | 0.251571 | − | 1.74972i | ||||
\(99\) | −8.59023 | + | 0.131558i | −0.863350 | + | 0.0132221i | ||||
\(100\) | −0.114805 | − | 0.798487i | −0.0114805 | − | 0.0798487i | ||||
\(101\) | 5.01178 | + | 10.9743i | 0.498691 | + | 1.09198i | 0.976893 | + | 0.213731i | \(0.0685615\pi\) |
−0.478202 | + | 0.878250i | \(0.658711\pi\) | |||||||
\(102\) | 2.31028 | − | 1.48473i | 0.228752 | − | 0.147010i | ||||
\(103\) | 1.61976 | − | 3.54677i | 0.159599 | − | 0.349474i | −0.812891 | − | 0.582415i | \(-0.802108\pi\) |
0.972491 | + | 0.232941i | \(0.0748351\pi\) | |||||||
\(104\) | 2.17297 | + | 1.39649i | 0.213078 | + | 0.136937i | ||||
\(105\) | −1.65343 | + | 11.4999i | −0.161359 | + | 1.12227i | ||||
\(106\) | −12.4946 | − | 3.66876i | −1.21359 | − | 0.356341i | ||||
\(107\) | 16.2899 | + | 4.78314i | 1.57480 | + | 0.462404i | 0.948395 | − | 0.317091i | \(-0.102706\pi\) |
0.626408 | + | 0.779495i | \(0.284524\pi\) | |||||||
\(108\) | −0.155123 | − | 0.179022i | −0.0149267 | − | 0.0172264i | ||||
\(109\) | 0.107951 | + | 0.124583i | 0.0103399 | + | 0.0119329i | 0.760896 | − | 0.648874i | \(-0.224760\pi\) |
−0.750556 | + | 0.660807i | \(0.770214\pi\) | |||||||
\(110\) | 12.7119 | − | 15.1325i | 1.21204 | − | 1.44283i | ||||
\(111\) | 2.01981 | − | 2.33099i | 0.191712 | − | 0.221248i | ||||
\(112\) | 18.0759 | 1.70801 | ||||||||
\(113\) | −15.9767 | + | 4.69117i | −1.50296 | + | 0.441308i | −0.926650 | − | 0.375925i | \(-0.877325\pi\) |
−0.576307 | + | 0.817233i | \(0.695507\pi\) | |||||||
\(114\) | 0.114556 | + | 0.796751i | 0.0107291 | + | 0.0746226i | ||||
\(115\) | 9.11902 | − | 19.9679i | 0.850353 | − | 1.86201i | ||||
\(116\) | −0.153992 | − | 0.0452163i | −0.0142978 | − | 0.00419822i | ||||
\(117\) | 1.57630 | + | 1.81915i | 0.145729 | + | 0.168180i | ||||
\(118\) | 9.10844 | 0.838500 | ||||||||
\(119\) | −5.42984 | + | 11.8897i | −0.497753 | + | 1.08993i | ||||
\(120\) | −7.37524 | −0.673264 | ||||||||
\(121\) | 10.9948 | − | 0.336849i | 0.999531 | − | 0.0306226i | ||||
\(122\) | 12.7691 | 1.15606 | ||||||||
\(123\) | 1.32296 | − | 2.89687i | 0.119287 | − | 0.261202i | ||||
\(124\) | 0.105196 | 0.00944690 | ||||||||
\(125\) | −19.5053 | − | 22.5103i | −1.74461 | − | 2.01338i | ||||
\(126\) | 15.6439 | + | 4.59347i | 1.39367 | + | 0.409219i | ||||
\(127\) | −2.13679 | + | 4.67892i | −0.189610 | + | 0.415187i | −0.980432 | − | 0.196859i | \(-0.936926\pi\) |
0.790822 | + | 0.612046i | \(0.209653\pi\) | |||||||
\(128\) | 1.68539 | + | 11.7222i | 0.148969 | + | 1.03610i | ||||
\(129\) | −3.26677 | + | 0.959210i | −0.287623 | + | 0.0844538i | ||||
\(130\) | −5.53722 | −0.485647 | ||||||||
\(131\) | 8.16211 | − | 9.41957i | 0.713127 | − | 0.822992i | −0.277336 | − | 0.960773i | \(-0.589452\pi\) |
0.990463 | + | 0.137781i | \(0.0439970\pi\) | |||||||
\(132\) | 0.0936466 | + | 0.104788i | 0.00815089 | + | 0.00912059i | ||||
\(133\) | −2.50889 | − | 2.89542i | −0.217549 | − | 0.251064i | ||||
\(134\) | −5.94464 | − | 6.86048i | −0.513539 | − | 0.592656i | ||||
\(135\) | −14.2318 | − | 4.17884i | −1.22488 | − | 0.359657i | ||||
\(136\) | −7.96135 | − | 2.33766i | −0.682680 | − | 0.200453i | ||||
\(137\) | −0.966747 | + | 6.72387i | −0.0825947 | + | 0.574459i | 0.905933 | + | 0.423421i | \(0.139171\pi\) |
−0.988528 | + | 0.151038i | \(0.951738\pi\) | |||||||
\(138\) | 4.09834 | + | 2.63385i | 0.348874 | + | 0.224208i | ||||
\(139\) | −0.862311 | + | 1.88820i | −0.0731402 | + | 0.160155i | −0.942671 | − | 0.333725i | \(-0.891694\pi\) |
0.869530 | + | 0.493880i | \(0.164422\pi\) | |||||||
\(140\) | −1.01098 | + | 0.649720i | −0.0854438 | + | 0.0549114i | ||||
\(141\) | 1.82059 | + | 3.98653i | 0.153321 | + | 0.335727i | ||||
\(142\) | −0.841190 | − | 5.85060i | −0.0705911 | − | 0.490972i | ||||
\(143\) | −2.05368 | − | 2.29801i | −0.171738 | − | 0.192169i | ||||
\(144\) | −1.52178 | + | 10.5842i | −0.126815 | + | 0.882018i | ||||
\(145\) | −9.64250 | + | 2.83129i | −0.800766 | + | 0.235126i | ||||
\(146\) | 7.19882 | + | 4.62640i | 0.595778 | + | 0.382884i | ||||
\(147\) | 7.47624 | − | 2.19522i | 0.616630 | − | 0.181059i | ||||
\(148\) | 0.319039 | 0.0262248 | ||||||||
\(149\) | 2.35434 | − | 2.71705i | 0.192875 | − | 0.222590i | −0.651072 | − | 0.759016i | \(-0.725681\pi\) |
0.843947 | + | 0.536426i | \(0.180226\pi\) | |||||||
\(150\) | 9.43069 | − | 6.06074i | 0.770013 | − | 0.494857i | ||||
\(151\) | −10.6088 | + | 12.2432i | −0.863333 | + | 0.996339i | 0.136651 | + | 0.990619i | \(0.456366\pi\) |
−0.999984 | + | 0.00572015i | \(0.998179\pi\) | |||||||
\(152\) | 1.59265 | − | 1.83802i | 0.129181 | − | 0.149083i | ||||
\(153\) | −6.50480 | − | 4.18038i | −0.525882 | − | 0.337964i | ||||
\(154\) | −20.1178 | − | 5.57395i | −1.62114 | − | 0.449161i | ||||
\(155\) | 5.54137 | − | 3.56122i | 0.445094 | − | 0.286044i | ||||
\(156\) | 0.00560363 | − | 0.0389741i | 0.000448649 | − | 0.00312042i | ||||
\(157\) | −2.74683 | − | 3.17001i | −0.219221 | − | 0.252994i | 0.635478 | − | 0.772119i | \(-0.280803\pi\) |
−0.854698 | + | 0.519125i | \(0.826258\pi\) | |||||||
\(158\) | −2.73526 | + | 3.15665i | −0.217605 | + | 0.251130i | ||||
\(159\) | −0.825182 | − | 5.73927i | −0.0654412 | − | 0.455153i | ||||
\(160\) | −1.01627 | − | 1.17283i | −0.0803428 | − | 0.0927206i | ||||
\(161\) | −23.1872 | −1.82741 | ||||||||
\(162\) | −3.27287 | + | 7.16659i | −0.257141 | + | 0.563060i | ||||
\(163\) | −4.15351 | − | 1.21958i | −0.325328 | − | 0.0955250i | 0.114990 | − | 0.993367i | \(-0.463316\pi\) |
−0.440319 | + | 0.897842i | \(0.645134\pi\) | |||||||
\(164\) | 0.316072 | − | 0.0928071i | 0.0246811 | − | 0.00724702i | ||||
\(165\) | 8.48037 | + | 2.34962i | 0.660196 | + | 0.182918i | ||||
\(166\) | −5.68837 | − | 1.67026i | −0.441503 | − | 0.129637i | ||||
\(167\) | 12.0715 | + | 7.75790i | 0.934123 | + | 0.600324i | 0.916723 | − | 0.399524i | \(-0.130825\pi\) |
0.0174000 | + | 0.999849i | \(0.494461\pi\) | |||||||
\(168\) | 3.23624 | + | 7.08638i | 0.249681 | + | 0.546726i | ||||
\(169\) | 1.72720 | − | 12.0130i | 0.132862 | − | 0.924075i | ||||
\(170\) | 17.0668 | − | 5.01125i | 1.30896 | − | 0.384345i | ||||
\(171\) | 1.90661 | − | 1.22530i | 0.145802 | − | 0.0937013i | ||||
\(172\) | −0.296268 | − | 0.190400i | −0.0225902 | − | 0.0145179i | ||||
\(173\) | −0.277129 | + | 1.92747i | −0.0210697 | + | 0.146543i | −0.997641 | − | 0.0686528i | \(-0.978130\pi\) |
0.976571 | + | 0.215196i | \(0.0690390\pi\) | |||||||
\(174\) | −0.317405 | − | 2.20760i | −0.0240624 | − | 0.167358i | ||||
\(175\) | −22.1649 | + | 48.5344i | −1.67551 | + | 3.66886i | ||||
\(176\) | 1.74070 | − | 13.5800i | 0.131210 | − | 1.02363i | ||||
\(177\) | 1.68478 | + | 3.68915i | 0.126636 | + | 0.277294i | ||||
\(178\) | −9.69031 | + | 6.22759i | −0.726320 | + | 0.466777i | ||||
\(179\) | −2.76177 | − | 19.2085i | −0.206424 | − | 1.43571i | −0.784703 | − | 0.619872i | \(-0.787184\pi\) |
0.578279 | − | 0.815839i | \(-0.303725\pi\) | |||||||
\(180\) | −0.295326 | − | 0.646673i | −0.0220123 | − | 0.0482002i | ||||
\(181\) | 7.97631 | + | 17.4657i | 0.592874 | + | 1.29821i | 0.933690 | + | 0.358083i | \(0.116570\pi\) |
−0.340815 | + | 0.940130i | \(0.610703\pi\) | |||||||
\(182\) | 2.42972 | + | 5.32035i | 0.180103 | + | 0.394371i | ||||
\(183\) | 2.36189 | + | 5.17181i | 0.174596 | + | 0.382312i | ||||
\(184\) | −2.09478 | − | 14.5695i | −0.154429 | − | 1.07408i | ||||
\(185\) | 16.8059 | − | 10.8005i | 1.23559 | − | 0.794066i | ||||
\(186\) | 0.607279 | + | 1.32975i | 0.0445278 | + | 0.0975023i | ||||
\(187\) | 8.40956 | + | 5.22429i | 0.614968 | + | 0.382038i | ||||
\(188\) | −0.188318 | + | 0.412360i | −0.0137345 | + | 0.0300744i | ||||
\(189\) | 2.22972 | + | 15.5081i | 0.162189 | + | 1.12805i | ||||
\(190\) | −0.741971 | + | 5.16052i | −0.0538283 | + | 0.374384i | ||||
\(191\) | 5.02536 | + | 3.22960i | 0.363622 | + | 0.233686i | 0.709675 | − | 0.704529i | \(-0.248842\pi\) |
−0.346053 | + | 0.938215i | \(0.612478\pi\) | |||||||
\(192\) | −4.15559 | + | 2.67063i | −0.299904 | + | 0.192736i | ||||
\(193\) | −3.95977 | + | 1.16269i | −0.285030 | + | 0.0836925i | −0.421123 | − | 0.907004i | \(-0.638364\pi\) |
0.136092 | + | 0.990696i | \(0.456546\pi\) | |||||||
\(194\) | −1.73195 | + | 12.0460i | −0.124347 | + | 0.864850i | ||||
\(195\) | −1.02422 | − | 2.24272i | −0.0733456 | − | 0.160604i | ||||
\(196\) | 0.678030 | + | 0.435744i | 0.0484307 | + | 0.0311245i | ||||
\(197\) | −2.55237 | − | 0.749442i | −0.181849 | − | 0.0533955i | 0.189540 | − | 0.981873i | \(-0.439300\pi\) |
−0.371389 | + | 0.928477i | \(0.621118\pi\) | |||||||
\(198\) | 4.95746 | − | 11.3106i | 0.352312 | − | 0.803806i | ||||
\(199\) | 16.6037 | − | 4.87527i | 1.17700 | − | 0.345599i | 0.365984 | − | 0.930621i | \(-0.380732\pi\) |
0.811017 | + | 0.585022i | \(0.198914\pi\) | |||||||
\(200\) | −32.4987 | − | 9.54247i | −2.29800 | − | 0.674754i | ||||
\(201\) | 1.67910 | − | 3.67671i | 0.118435 | − | 0.259335i | ||||
\(202\) | −17.3419 | −1.22017 | ||||||||
\(203\) | 6.95152 | + | 8.02248i | 0.487901 | + | 0.563067i | ||||
\(204\) | 0.0180006 | + | 0.125197i | 0.00126029 | + | 0.00876552i | ||||
\(205\) | 13.5078 | − | 15.5888i | 0.943423 | − | 1.08877i | ||||
\(206\) | 3.67031 | + | 4.23577i | 0.255723 | + | 0.295120i | ||||
\(207\) | 1.95209 | − | 13.5771i | 0.135680 | − | 0.943674i | ||||
\(208\) | −3.22700 | + | 2.07387i | −0.223752 | + | 0.143797i | ||||
\(209\) | −2.41686 | + | 1.60604i | −0.167178 | + | 0.111092i | ||||
\(210\) | −14.0492 | − | 9.02884i | −0.969484 | − | 0.623049i | ||||
\(211\) | 9.05592 | − | 10.4511i | 0.623435 | − | 0.719482i | −0.352920 | − | 0.935653i | \(-0.614811\pi\) |
0.976356 | + | 0.216171i | \(0.0693568\pi\) | |||||||
\(212\) | 0.392762 | − | 0.453271i | 0.0269750 | − | 0.0311308i | ||||
\(213\) | 2.21405 | − | 1.42289i | 0.151704 | − | 0.0974945i | ||||
\(214\) | −15.9813 | + | 18.4434i | −1.09246 | + | 1.26076i | ||||
\(215\) | −22.0520 | −1.50393 | ||||||||
\(216\) | −9.54294 | + | 2.80206i | −0.649315 | + | 0.190656i | ||||
\(217\) | −5.85329 | − | 3.76168i | −0.397347 | − | 0.255359i | ||||
\(218\) | −0.227357 | + | 0.0667580i | −0.0153986 | + | 0.00452142i | ||||
\(219\) | −0.542253 | + | 3.77145i | −0.0366420 | + | 0.254851i | ||||
\(220\) | 0.390762 | + | 0.822097i | 0.0263452 | + | 0.0554257i | ||||
\(221\) | −0.394755 | − | 2.74558i | −0.0265541 | − | 0.184688i | ||||
\(222\) | 1.84175 | + | 4.03288i | 0.123610 | + | 0.270669i | ||||
\(223\) | 7.83837 | − | 5.03741i | 0.524896 | − | 0.337330i | −0.251210 | − | 0.967933i | \(-0.580829\pi\) |
0.776106 | + | 0.630602i | \(0.217192\pi\) | |||||||
\(224\) | −0.680962 | + | 1.49110i | −0.0454987 | + | 0.0996283i | ||||
\(225\) | −26.5529 | − | 17.0645i | −1.77020 | − | 1.13764i | ||||
\(226\) | 3.40628 | − | 23.6912i | 0.226583 | − | 1.57592i | ||||
\(227\) | 10.3690 | + | 3.04462i | 0.688215 | + | 0.202078i | 0.607099 | − | 0.794626i | \(-0.292333\pi\) |
0.0811166 | + | 0.996705i | \(0.474151\pi\) | |||||||
\(228\) | −0.0355718 | − | 0.0104448i | −0.00235580 | − | 0.000691725i | ||||
\(229\) | −4.30981 | − | 4.97378i | −0.284800 | − | 0.328677i | 0.595265 | − | 0.803529i | \(-0.297047\pi\) |
−0.880065 | + | 0.474852i | \(0.842501\pi\) | |||||||
\(230\) | 20.6634 | + | 23.8468i | 1.36250 | + | 1.57241i | ||||
\(231\) | −1.46358 | − | 9.17923i | −0.0962963 | − | 0.603949i | ||||
\(232\) | −4.41285 | + | 5.09270i | −0.289718 | + | 0.334352i | ||||
\(233\) | 25.1261 | 1.64607 | 0.823034 | − | 0.567993i | \(-0.192280\pi\) | ||||
0.823034 | + | 0.567993i | \(0.192280\pi\) | |||||||
\(234\) | −3.31985 | + | 0.974795i | −0.217025 | + | 0.0637243i | ||||
\(235\) | 4.03972 | + | 28.0968i | 0.263522 | + | 1.83284i | ||||
\(236\) | −0.174271 | + | 0.381600i | −0.0113441 | + | 0.0248400i | ||||
\(237\) | −1.78447 | − | 0.523966i | −0.115914 | − | 0.0340353i | ||||
\(238\) | −12.3038 | − | 14.1994i | −0.797540 | − | 0.920410i | ||||
\(239\) | 17.5819 | 1.13728 | 0.568641 | − | 0.822586i | \(-0.307469\pi\) | ||||
0.568641 | + | 0.822586i | \(0.307469\pi\) | |||||||
\(240\) | 4.54992 | − | 9.96293i | 0.293696 | − | 0.643104i | ||||
\(241\) | 5.16052 | 0.332418 | 0.166209 | − | 0.986091i | \(-0.446847\pi\) | ||||
0.166209 | + | 0.986091i | \(0.446847\pi\) | |||||||
\(242\) | −6.12491 | + | 14.5772i | −0.393724 | + | 0.937061i | ||||
\(243\) | −14.2421 | −0.913632 | ||||||||
\(244\) | −0.244309 | + | 0.534963i | −0.0156403 | + | 0.0342475i | ||||
\(245\) | 50.4676 | 3.22426 | ||||||||
\(246\) | 2.99777 | + | 3.45962i | 0.191131 | + | 0.220577i | ||||
\(247\) | 0.780095 | + | 0.229057i | 0.0496363 | + | 0.0145745i | ||||
\(248\) | 1.83483 | − | 4.01771i | 0.116512 | − | 0.255125i | ||||
\(249\) | −0.375676 | − | 2.61288i | −0.0238075 | − | 0.165585i | ||||
\(250\) | 41.0801 | − | 12.0622i | 2.59813 | − | 0.762881i | ||||
\(251\) | −17.6264 | −1.11257 | −0.556286 | − | 0.830991i | \(-0.687774\pi\) | ||||
−0.556286 | + | 0.830991i | \(0.687774\pi\) | |||||||
\(252\) | −0.491757 | + | 0.567518i | −0.0309778 | + | 0.0357503i | ||||
\(253\) | −2.23292 | + | 17.4200i | −0.140382 | + | 1.09519i | ||||
\(254\) | −4.84190 | − | 5.58785i | −0.303808 | − | 0.350613i | ||||
\(255\) | 5.18651 | + | 5.98555i | 0.324792 | + | 0.374830i | ||||
\(256\) | −1.52288 | − | 0.447159i | −0.0951803 | − | 0.0279475i | ||||
\(257\) | −23.9084 | − | 7.02015i | −1.49137 | − | 0.437905i | −0.568389 | − | 0.822760i | \(-0.692433\pi\) |
−0.922977 | + | 0.384855i | \(0.874251\pi\) | |||||||
\(258\) | 0.696488 | − | 4.84418i | 0.0433614 | − | 0.301585i | ||||
\(259\) | −17.7518 | − | 11.4084i | −1.10305 | − | 0.708884i | ||||
\(260\) | 0.105943 | − | 0.231983i | 0.00657031 | − | 0.0143870i | ||||
\(261\) | −5.28274 | + | 3.39501i | −0.326993 | + | 0.210146i | ||||
\(262\) | 7.44256 | + | 16.2969i | 0.459803 | + | 1.00683i | ||||
\(263\) | −2.53757 | − | 17.6492i | −0.156473 | − | 1.08830i | −0.905068 | − | 0.425267i | \(-0.860180\pi\) |
0.748595 | − | 0.663028i | \(-0.230729\pi\) | |||||||
\(264\) | 5.63548 | − | 1.74890i | 0.346840 | − | 0.107637i | ||||
\(265\) | 5.34467 | − | 37.1730i | 0.328320 | − | 2.28352i | ||||
\(266\) | 5.28398 | − | 1.55152i | 0.323982 | − | 0.0951296i | ||||
\(267\) | −4.31474 | − | 2.77292i | −0.264058 | − | 0.169700i | ||||
\(268\) | 0.401159 | − | 0.117791i | 0.0245047 | − | 0.00719523i | ||||
\(269\) | 9.85449 | 0.600839 | 0.300419 | − | 0.953807i | \(-0.402873\pi\) | ||||
0.300419 | + | 0.953807i | \(0.402873\pi\) | |||||||
\(270\) | 13.9622 | − | 16.1132i | 0.849712 | − | 0.980620i | ||||
\(271\) | −15.6275 | + | 10.0432i | −0.949304 | + | 0.610081i | −0.921018 | − | 0.389519i | \(-0.872641\pi\) |
−0.0282857 | + | 0.999600i | \(0.509005\pi\) | |||||||
\(272\) | 8.06935 | − | 9.31253i | 0.489276 | − | 0.564655i | ||||
\(273\) | −1.70546 | + | 1.96820i | −0.103219 | + | 0.119121i | ||||
\(274\) | −8.21440 | − | 5.27908i | −0.496250 | − | 0.318921i | ||||
\(275\) | 34.3283 | + | 21.3258i | 2.07007 | + | 1.28600i | ||||
\(276\) | −0.188758 | + | 0.121308i | −0.0113619 | + | 0.00730187i | ||||
\(277\) | 0.719574 | − | 5.00475i | 0.0432350 | − | 0.300706i | −0.956718 | − | 0.291016i | \(-0.906007\pi\) |
0.999953 | − | 0.00968966i | \(-0.00308436\pi\) | |||||||
\(278\) | −1.95397 | − | 2.25500i | −0.117191 | − | 0.135246i | ||||
\(279\) | 2.69540 | − | 3.11066i | 0.161369 | − | 0.186230i | ||||
\(280\) | 7.18092 | + | 49.9444i | 0.429142 | + | 2.98475i | ||||
\(281\) | 20.5195 | + | 23.6807i | 1.22409 | + | 1.41267i | 0.880830 | + | 0.473433i | \(0.156985\pi\) |
0.343259 | + | 0.939241i | \(0.388469\pi\) | |||||||
\(282\) | −6.29965 | −0.375138 | ||||||||
\(283\) | 1.27578 | − | 2.79357i | 0.0758374 | − | 0.166061i | −0.867916 | − | 0.496711i | \(-0.834541\pi\) |
0.943753 | + | 0.330650i | \(0.107268\pi\) | |||||||
\(284\) | 0.261206 | + | 0.0766971i | 0.0154997 | + | 0.00455114i | ||||
\(285\) | −2.22739 | + | 0.654020i | −0.131939 | + | 0.0387408i | ||||
\(286\) | 4.23104 | − | 1.31305i | 0.250186 | − | 0.0776421i | ||||
\(287\) | −20.9054 | − | 6.13839i | −1.23401 | − | 0.362337i | ||||
\(288\) | −0.815773 | − | 0.524266i | −0.0480699 | − | 0.0308926i | ||||
\(289\) | −3.36056 | − | 7.35860i | −0.197680 | − | 0.432859i | ||||
\(290\) | 2.05582 | − | 14.2985i | 0.120722 | − | 0.839639i | ||||
\(291\) | −5.19929 | + | 1.52665i | −0.304788 | + | 0.0894937i | ||||
\(292\) | −0.331558 | + | 0.213079i | −0.0194030 | + | 0.0124695i | ||||
\(293\) | −26.1007 | − | 16.7739i | −1.52482 | − | 0.979940i | −0.990929 | − | 0.134385i | \(-0.957094\pi\) |
−0.533888 | − | 0.845555i | \(-0.679269\pi\) | |||||||
\(294\) | −1.59396 | + | 11.0863i | −0.0929618 | + | 0.646563i | ||||
\(295\) | 3.73837 | + | 26.0010i | 0.217656 | + | 1.51383i | ||||
\(296\) | 5.56465 | − | 12.1849i | 0.323439 | − | 0.708232i | ||||
\(297\) | 11.8656 | − | 0.181720i | 0.688510 | − | 0.0105445i | ||||
\(298\) | 2.14679 | + | 4.70081i | 0.124360 | + | 0.272310i | ||||
\(299\) | 4.13950 | − | 2.66030i | 0.239394 | − | 0.153849i | ||||
\(300\) | 0.0734793 | + | 0.511060i | 0.00424233 | + | 0.0295061i | ||||
\(301\) | 9.67638 | + | 21.1883i | 0.557737 | + | 1.22127i | ||||
\(302\) | −9.67357 | − | 21.1822i | −0.556651 | − | 1.21890i | ||||
\(303\) | −3.20772 | − | 7.02392i | −0.184278 | − | 0.403514i | ||||
\(304\) | 1.50038 | + | 3.28536i | 0.0860524 | + | 0.188429i | ||||
\(305\) | 5.24081 | + | 36.4507i | 0.300088 | + | 2.08716i | ||||
\(306\) | 9.35019 | − | 6.00900i | 0.534515 | − | 0.343512i | ||||
\(307\) | 2.48320 | + | 5.43746i | 0.141724 | + | 0.310332i | 0.967162 | − | 0.254161i | \(-0.0817992\pi\) |
−0.825438 | + | 0.564493i | \(0.809072\pi\) | |||||||
\(308\) | 0.618433 | − | 0.736192i | 0.0352385 | − | 0.0419484i | ||||
\(309\) | −1.03670 | + | 2.27006i | −0.0589759 | + | 0.129139i | ||||
\(310\) | 1.34749 | + | 9.37203i | 0.0765326 | + | 0.532296i | ||||
\(311\) | −1.70324 | + | 11.8463i | −0.0965819 | + | 0.671742i | 0.882804 | + | 0.469742i | \(0.155653\pi\) |
−0.979386 | + | 0.202000i | \(0.935256\pi\) | |||||||
\(312\) | −1.39078 | − | 0.893800i | −0.0787374 | − | 0.0506014i | ||||
\(313\) | −17.6687 | + | 11.3550i | −0.998692 | + | 0.641821i | −0.934443 | − | 0.356113i | \(-0.884102\pi\) |
−0.0642494 | + | 0.997934i | \(0.520465\pi\) | |||||||
\(314\) | 5.78510 | − | 1.69866i | 0.326472 | − | 0.0958608i | ||||
\(315\) | −6.69179 | + | 46.5424i | −0.377040 | + | 2.62237i | ||||
\(316\) | −0.0799152 | − | 0.174990i | −0.00449558 | − | 0.00984395i | ||||
\(317\) | −8.39466 | − | 5.39492i | −0.471491 | − | 0.303009i | 0.283233 | − | 0.959051i | \(-0.408593\pi\) |
−0.754724 | + | 0.656042i | \(0.772229\pi\) | |||||||
\(318\) | 7.99701 | + | 2.34814i | 0.448450 | + | 0.131677i | ||||
\(319\) | 6.69653 | − | 4.44995i | 0.374933 | − | 0.249149i | ||||
\(320\) | −30.6986 | + | 9.01392i | −1.71610 | + | 0.503893i | ||||
\(321\) | −10.4261 | − | 3.06138i | −0.581928 | − | 0.170870i | ||||
\(322\) | 13.8458 | − | 30.3180i | 0.771595 | − | 1.68956i | ||||
\(323\) | −2.61170 | −0.145319 | ||||||||
\(324\) | −0.237626 | − | 0.274235i | −0.0132014 | − | 0.0152353i | ||||
\(325\) | −1.61141 | − | 11.2076i | −0.0893851 | − | 0.621687i | ||||
\(326\) | 4.07483 | − | 4.70260i | 0.225684 | − | 0.260453i | ||||
\(327\) | −0.0690927 | − | 0.0797373i | −0.00382084 | − | 0.00440948i | ||||
\(328\) | 1.96837 | − | 13.6903i | 0.108685 | − | 0.755921i | ||||
\(329\) | 25.2238 | − | 16.2103i | 1.39063 | − | 0.893705i | ||||
\(330\) | −8.13608 | + | 9.68533i | −0.447877 | + | 0.533160i | ||||
\(331\) | −1.91232 | − | 1.22897i | −0.105111 | − | 0.0675505i | 0.487029 | − | 0.873386i | \(-0.338080\pi\) |
−0.592140 | + | 0.805835i | \(0.701717\pi\) | |||||||
\(332\) | 0.178811 | − | 0.206358i | 0.00981350 | − | 0.0113254i | ||||
\(333\) | 8.17461 | − | 9.43400i | 0.447966 | − | 0.516980i | ||||
\(334\) | −17.3520 | + | 11.1514i | −0.949457 | + | 0.610179i | ||||
\(335\) | 17.1441 | − | 19.7853i | 0.936681 | − | 1.08099i | ||||
\(336\) | −11.5692 | −0.631152 | ||||||||
\(337\) | 23.8313 | − | 6.99750i | 1.29817 | − | 0.381178i | 0.441604 | − | 0.897210i | \(-0.354410\pi\) |
0.856569 | + | 0.516032i | \(0.172591\pi\) | |||||||
\(338\) | 14.6760 | + | 9.43168i | 0.798268 | + | 0.513016i | ||||
\(339\) | 10.2256 | − | 3.00251i | 0.555379 | − | 0.163074i | ||||
\(340\) | −0.116589 | + | 0.810894i | −0.00632292 | + | 0.0439769i | ||||
\(341\) | −3.38973 | + | 4.03519i | −0.183564 | + | 0.218518i | ||||
\(342\) | 0.463630 | + | 3.22462i | 0.0250702 | + | 0.174367i | ||||
\(343\) | −9.41187 | − | 20.6091i | −0.508193 | − | 1.11279i | ||||
\(344\) | −12.4393 | + | 7.99427i | −0.670684 | + | 0.431022i | ||||
\(345\) | −5.83649 | + | 12.7801i | −0.314226 | + | 0.688060i | ||||
\(346\) | −2.35475 | − | 1.51331i | −0.126592 | − | 0.0813559i | ||||
\(347\) | 4.26283 | − | 29.6486i | 0.228841 | − | 1.59162i | −0.474165 | − | 0.880436i | \(-0.657250\pi\) |
0.703005 | − | 0.711185i | \(-0.251841\pi\) | |||||||
\(348\) | 0.0985606 | + | 0.0289400i | 0.00528340 | + | 0.00155135i | ||||
\(349\) | 1.64329 | + | 0.482513i | 0.0879632 | + | 0.0258283i | 0.325418 | − | 0.945570i | \(-0.394495\pi\) |
−0.237455 | + | 0.971399i | \(0.576313\pi\) | |||||||
\(350\) | −50.2250 | − | 57.9627i | −2.68464 | − | 3.09824i | ||||
\(351\) | −2.17732 | − | 2.51276i | −0.116217 | − | 0.134121i | ||||
\(352\) | 1.05465 | + | 0.655183i | 0.0562131 | + | 0.0349214i | ||||
\(353\) | −11.2637 | + | 12.9990i | −0.599504 | + | 0.691865i | −0.971681 | − | 0.236297i | \(-0.924066\pi\) |
0.372177 | + | 0.928162i | \(0.378612\pi\) | |||||||
\(354\) | −5.82972 | −0.309846 | ||||||||
\(355\) | 16.3559 | − | 4.80252i | 0.868080 | − | 0.254891i | ||||
\(356\) | −0.0755021 | − | 0.525129i | −0.00400160 | − | 0.0278318i | ||||
\(357\) | 3.47529 | − | 7.60983i | 0.183932 | − | 0.402755i | ||||
\(358\) | 26.7649 | + | 7.85888i | 1.41457 | + | 0.415355i | ||||
\(359\) | −7.52745 | − | 8.68714i | −0.397284 | − | 0.458490i | 0.521500 | − | 0.853251i | \(-0.325373\pi\) |
−0.918784 | + | 0.394761i | \(0.870827\pi\) | |||||||
\(360\) | −29.8491 | −1.57319 | ||||||||
\(361\) | −7.57488 | + | 16.5867i | −0.398678 | + | 0.872983i | ||||
\(362\) | −27.5998 | −1.45061 | ||||||||
\(363\) | −7.03709 | + | 0.215595i | −0.369351 | + | 0.0113158i | ||||
\(364\) | −0.269385 | −0.0141196 | ||||||||
\(365\) | −10.2519 | + | 22.4486i | −0.536610 | + | 1.17501i | ||||
\(366\) | −8.17267 | −0.427192 | ||||||||
\(367\) | 0.445749 | + | 0.514422i | 0.0232679 | + | 0.0268526i | 0.767264 | − | 0.641331i | \(-0.221617\pi\) |
−0.743996 | + | 0.668184i | \(0.767072\pi\) | |||||||
\(368\) | 20.9737 | + | 6.15843i | 1.09333 | + | 0.321031i | ||||
\(369\) | 5.35428 | − | 11.7242i | 0.278733 | − | 0.610339i | ||||
\(370\) | 4.08668 | + | 28.4235i | 0.212456 | + | 1.47767i | ||||
\(371\) | −38.0623 | + | 11.1761i | −1.97610 | + | 0.580234i | ||||
\(372\) | −0.0673293 | −0.00349086 | ||||||||
\(373\) | −25.0835 | + | 28.9479i | −1.29878 | + | 1.49887i | −0.551885 | + | 0.833920i | \(0.686091\pi\) |
−0.746891 | + | 0.664947i | \(0.768454\pi\) | |||||||
\(374\) | −11.8525 | + | 7.87619i | −0.612879 | + | 0.407268i | ||||
\(375\) | 12.4841 | + | 14.4074i | 0.644674 | + | 0.743994i | ||||
\(376\) | 12.4644 | + | 14.3847i | 0.642803 | + | 0.741834i | ||||
\(377\) | −2.16145 | − | 0.634659i | −0.111320 | − | 0.0326866i | ||||
\(378\) | −21.6087 | − | 6.34490i | −1.11143 | − | 0.326346i | ||||
\(379\) | 0.326129 | − | 2.26828i | 0.0167521 | − | 0.116514i | −0.979730 | − | 0.200325i | \(-0.935800\pi\) |
0.996482 | + | 0.0838113i | \(0.0267093\pi\) | |||||||
\(380\) | −0.202005 | − | 0.129821i | −0.0103626 | − | 0.00665966i | ||||
\(381\) | 1.36762 | − | 2.99467i | 0.0700654 | − | 0.153422i | ||||
\(382\) | −7.22361 | + | 4.64233i | −0.369592 | + | 0.237522i | ||||
\(383\) | −5.36739 | − | 11.7529i | −0.274261 | − | 0.600547i | 0.721512 | − | 0.692402i | \(-0.243448\pi\) |
−0.995772 | + | 0.0918550i | \(0.970720\pi\) | |||||||
\(384\) | −1.07871 | − | 7.50260i | −0.0550477 | − | 0.382865i | ||||
\(385\) | 7.65446 | − | 59.7159i | 0.390107 | − | 3.04341i | ||||
\(386\) | 0.844238 | − | 5.87180i | 0.0429706 | − | 0.298867i | ||||
\(387\) | −13.2213 | + | 3.88212i | −0.672076 | + | 0.197339i | ||||
\(388\) | −0.471531 | − | 0.303034i | −0.0239383 | − | 0.0153842i | ||||
\(389\) | 5.84861 | − | 1.71731i | 0.296536 | − | 0.0870708i | −0.130080 | − | 0.991503i | \(-0.541524\pi\) |
0.426617 | + | 0.904433i | \(0.359705\pi\) | |||||||
\(390\) | 3.54402 | 0.179458 | ||||||||
\(391\) | −10.3511 | + | 11.9458i | −0.523479 | + | 0.604127i | ||||
\(392\) | 28.4683 | − | 18.2955i | 1.43787 | − | 0.924061i | ||||
\(393\) | −5.22404 | + | 6.02886i | −0.263518 | + | 0.304116i | ||||
\(394\) | 2.50401 | − | 2.88979i | 0.126150 | − | 0.145585i | ||||
\(395\) | −10.1336 | − | 6.51248i | −0.509878 | − | 0.327678i | ||||
\(396\) | 0.379007 | + | 0.424097i | 0.0190458 | + | 0.0213117i | ||||
\(397\) | −15.2127 | + | 9.77662i | −0.763504 | + | 0.490674i | −0.863522 | − | 0.504311i | \(-0.831746\pi\) |
0.100018 | + | 0.994986i | \(0.468110\pi\) | |||||||
\(398\) | −3.53996 | + | 24.6210i | −0.177442 | + | 1.23414i | ||||
\(399\) | 1.60578 | + | 1.85317i | 0.0803895 | + | 0.0927744i | ||||
\(400\) | 32.9395 | − | 38.0143i | 1.64698 | − | 1.90071i | ||||
\(401\) | −0.192754 | − | 1.34063i | −0.00962566 | − | 0.0669480i | 0.984442 | − | 0.175707i | \(-0.0562213\pi\) |
−0.994068 | + | 0.108759i | \(0.965312\pi\) | |||||||
\(402\) | 3.80478 | + | 4.39095i | 0.189765 | + | 0.219001i | ||||
\(403\) | 1.47654 | 0.0735518 | ||||||||
\(404\) | 0.331800 | − | 0.726542i | 0.0165077 | − | 0.0361468i | ||||
\(405\) | −21.8010 | − | 6.40136i | −1.08330 | − | 0.318086i | ||||
\(406\) | −14.6406 | + | 4.29887i | −0.726601 | + | 0.213349i | ||||
\(407\) | −10.2804 | + | 12.2379i | −0.509579 | + | 0.606611i | ||||
\(408\) | 5.09554 | + | 1.49619i | 0.252267 | + | 0.0740722i | ||||
\(409\) | −10.4346 | − | 6.70591i | −0.515958 | − | 0.331586i | 0.256613 | − | 0.966514i | \(-0.417393\pi\) |
−0.772571 | + | 0.634928i | \(0.781030\pi\) | |||||||
\(410\) | 12.3170 | + | 26.9704i | 0.608291 | + | 1.33197i | ||||
\(411\) | 0.618752 | − | 4.30351i | 0.0305208 | − | 0.212277i | ||||
\(412\) | −0.247682 | + | 0.0727259i | −0.0122024 | + | 0.00358295i | ||||
\(413\) | 23.3422 | − | 15.0011i | 1.14859 | − | 0.738157i | ||||
\(414\) | 16.5868 | + | 10.6597i | 0.815199 | + | 0.523897i | ||||
\(415\) | 2.43324 | − | 16.9235i | 0.119443 | − | 0.830744i | ||||
\(416\) | −0.0495067 | − | 0.344326i | −0.00242726 | − | 0.0168820i | ||||
\(417\) | 0.551909 | − | 1.20851i | 0.0270271 | − | 0.0591811i | ||||
\(418\) | −0.656774 | − | 4.11914i | −0.0321239 | − | 0.201474i | ||||
\(419\) | 15.4796 | + | 33.8957i | 0.756230 | + | 1.65591i | 0.754836 | + | 0.655914i | \(0.227716\pi\) |
0.00139413 | + | 0.999999i | \(0.499556\pi\) | |||||||
\(420\) | 0.647066 | − | 0.415844i | 0.0315736 | − | 0.0202911i | ||||
\(421\) | 3.05832 | + | 21.2711i | 0.149053 | + | 1.03669i | 0.917774 | + | 0.397103i | \(0.129985\pi\) |
−0.768721 | + | 0.639585i | \(0.779106\pi\) | |||||||
\(422\) | 8.25757 | + | 18.0816i | 0.401972 | + | 0.880196i | ||||
\(423\) | 7.36830 | + | 16.1343i | 0.358259 | + | 0.784477i | ||||
\(424\) | −10.4610 | − | 22.9065i | −0.508033 | − | 1.11244i | ||||
\(425\) | 15.1097 | + | 33.0856i | 0.732928 | + | 1.60489i | ||||
\(426\) | 0.538391 | + | 3.74459i | 0.0260851 | + | 0.181426i | ||||
\(427\) | 32.7234 | − | 21.0300i | 1.58359 | − | 1.01771i | ||||
\(428\) | −0.466921 | − | 1.02241i | −0.0225695 | − | 0.0494203i | ||||
\(429\) | 1.31443 | + | 1.47081i | 0.0634613 | + | 0.0710112i | ||||
\(430\) | 13.1679 | − | 28.8337i | 0.635013 | − | 1.39048i | ||||
\(431\) | −0.366308 | − | 2.54773i | −0.0176444 | − | 0.122720i | 0.979096 | − | 0.203401i | \(-0.0651995\pi\) |
−0.996740 | + | 0.0806812i | \(0.974290\pi\) | |||||||
\(432\) | 2.10201 | − | 14.6198i | 0.101133 | − | 0.703397i | ||||
\(433\) | −29.7185 | − | 19.0989i | −1.42818 | − | 0.917837i | −0.999899 | − | 0.0141922i | \(-0.995482\pi\) |
−0.428283 | − | 0.903645i | \(-0.640881\pi\) | |||||||
\(434\) | 8.41369 | − | 5.40715i | 0.403870 | − | 0.259551i | ||||
\(435\) | 6.17154 | − | 1.81213i | 0.295903 | − | 0.0868849i | ||||
\(436\) | 0.00155315 | − | 0.0108024i | 7.43826e−5 | − | 0.000517342i | ||||
\(437\) | −1.92464 | − | 4.21436i | −0.0920678 | − | 0.201600i | ||||
\(438\) | −4.60750 | − | 2.96106i | −0.220155 | − | 0.141485i | ||||
\(439\) | 18.4201 | + | 5.40864i | 0.879146 | + | 0.258140i | 0.690001 | − | 0.723809i | \(-0.257610\pi\) |
0.189145 | + | 0.981949i | \(0.439428\pi\) | |||||||
\(440\) | 38.2136 | − | 0.585237i | 1.82176 | − | 0.0279001i | ||||
\(441\) | 30.2579 | − | 8.88452i | 1.44085 | − | 0.423072i | ||||
\(442\) | 3.82566 | + | 1.12331i | 0.181968 | + | 0.0534306i | ||||
\(443\) | 6.59787 | − | 14.4473i | 0.313474 | − | 0.686413i | −0.685664 | − | 0.727918i | \(-0.740488\pi\) |
0.999138 | + | 0.0415051i | \(0.0132153\pi\) | |||||||
\(444\) | −0.204196 | −0.00969072 | ||||||||
\(445\) | −21.7545 | − | 25.1060i | −1.03126 | − | 1.19014i | ||||
\(446\) | 1.90606 | + | 13.2569i | 0.0902543 | + | 0.627733i | ||||
\(447\) | −1.50686 | + | 1.73901i | −0.0712720 | + | 0.0822523i | ||||
\(448\) | 22.1314 | + | 25.5410i | 1.04561 | + | 1.20670i | ||||
\(449\) | −2.15607 | + | 14.9958i | −0.101751 | + | 0.707695i | 0.873537 | + | 0.486758i | \(0.161821\pi\) |
−0.975288 | + | 0.220937i | \(0.929088\pi\) | |||||||
\(450\) | 38.1680 | − | 24.5291i | 1.79926 | − | 1.15631i | ||||
\(451\) | −6.62481 | + | 15.1146i | −0.311950 | + | 0.711720i | ||||
\(452\) | 0.927376 | + | 0.595988i | 0.0436201 | + | 0.0280329i | ||||
\(453\) | 6.79001 | − | 7.83609i | 0.319023 | − | 0.368172i | ||||
\(454\) | −10.1726 | + | 11.7398i | −0.477423 | + | 0.550975i | ||||
\(455\) | −14.1902 | + | 9.11952i | −0.665249 | + | 0.427530i | ||||
\(456\) | −1.01935 | + | 1.17640i | −0.0477357 | + | 0.0550899i | ||||
\(457\) | −2.11114 | −0.0987550 | −0.0493775 | − | 0.998780i | \(-0.515724\pi\) | ||||
−0.0493775 | + | 0.998780i | \(0.515724\pi\) | |||||||
\(458\) | 9.07689 | − | 2.66522i | 0.424135 | − | 0.124537i | ||||
\(459\) | 8.98499 | + | 5.77430i | 0.419383 | + | 0.269521i | ||||
\(460\) | −1.39442 | + | 0.409438i | −0.0650150 | + | 0.0190901i | ||||
\(461\) | −3.06151 | + | 21.2933i | −0.142589 | + | 0.991727i | 0.785365 | + | 0.619033i | \(0.212475\pi\) |
−0.927954 | + | 0.372694i | \(0.878434\pi\) | |||||||
\(462\) | 12.8761 | + | 3.56752i | 0.599050 | + | 0.165976i | ||||
\(463\) | −0.225625 | − | 1.56926i | −0.0104857 | − | 0.0729295i | 0.983907 | − | 0.178683i | \(-0.0571837\pi\) |
−0.994392 | + | 0.105753i | \(0.966275\pi\) | |||||||
\(464\) | −4.15717 | − | 9.10292i | −0.192992 | − | 0.422593i | ||||
\(465\) | −3.54667 | + | 2.27931i | −0.164473 | + | 0.105700i | ||||
\(466\) | −15.0036 | + | 32.8532i | −0.695027 | + | 1.52190i | ||||
\(467\) | −10.7089 | − | 6.88218i | −0.495548 | − | 0.318469i | 0.268885 | − | 0.963172i | \(-0.413345\pi\) |
−0.764433 | + | 0.644703i | \(0.776981\pi\) | |||||||
\(468\) | 0.0226790 | − | 0.157736i | 0.00104834 | − | 0.00729136i | ||||
\(469\) | −26.5332 | − | 7.79085i | −1.22519 | − | 0.359748i | ||||
\(470\) | −39.1498 | − | 11.4954i | −1.80584 | − | 0.530244i | ||||
\(471\) | 1.75807 | + | 2.02892i | 0.0810074 | + | 0.0934875i | ||||
\(472\) | 11.5346 | + | 13.3117i | 0.530924 | + | 0.612719i | ||||
\(473\) | 16.8501 | − | 5.22921i | 0.774769 | − | 0.240439i | ||||
\(474\) | 1.75066 | − | 2.02037i | 0.0804105 | − | 0.0927987i | ||||
\(475\) | −10.6611 | −0.489164 | ||||||||
\(476\) | 0.830294 | − | 0.243796i | 0.0380564 | − | 0.0111744i | ||||
\(477\) | −3.33968 | − | 23.2280i | −0.152914 | − | 1.06354i | ||||
\(478\) | −10.4987 | + | 22.9890i | −0.480200 | + | 1.05149i | ||||
\(479\) | 15.1570 | + | 4.45050i | 0.692541 | + | 0.203348i | 0.609017 | − | 0.793157i | \(-0.291564\pi\) |
0.0835243 | + | 0.996506i | \(0.473382\pi\) | |||||||
\(480\) | 0.650446 | + | 0.750654i | 0.0296886 | + | 0.0342625i | ||||
\(481\) | 4.47805 | 0.204182 | ||||||||
\(482\) | −3.08150 | + | 6.74755i | −0.140359 | + | 0.307342i | ||||
\(483\) | 14.8406 | 0.675272 | ||||||||
\(484\) | −0.493529 | − | 0.535509i | −0.0224331 | − | 0.0243413i | ||||
\(485\) | −35.0973 | −1.59368 | ||||||||
\(486\) | 8.50439 | − | 18.6220i | 0.385767 | − | 0.844712i | ||||
\(487\) | −30.3488 | −1.37523 | −0.687617 | − | 0.726074i | \(-0.741343\pi\) | ||||
−0.687617 | + | 0.726074i | \(0.741343\pi\) | |||||||
\(488\) | 16.1704 | + | 18.6616i | 0.731998 | + | 0.844770i | ||||
\(489\) | 2.65839 | + | 0.780575i | 0.120217 | + | 0.0352988i | ||||
\(490\) | −30.1357 | + | 65.9880i | −1.36139 | + | 2.98103i | ||||
\(491\) | −0.973358 | − | 6.76985i | −0.0439270 | − | 0.305519i | −0.999926 | − | 0.0121498i | \(-0.996133\pi\) |
0.955999 | − | 0.293369i | \(-0.0947766\pi\) | |||||||
\(492\) | −0.202297 | + | 0.0593998i | −0.00912026 | + | 0.00267795i | ||||
\(493\) | 7.23636 | 0.325909 | ||||||||
\(494\) | −0.765317 | + | 0.883223i | −0.0344332 | + | 0.0397381i | ||||
\(495\) | 34.3218 | + | 9.50939i | 1.54265 | + | 0.427415i | ||||
\(496\) | 4.29543 | + | 4.95719i | 0.192870 | + | 0.222584i | ||||
\(497\) | −11.7914 | − | 13.6080i | −0.528915 | − | 0.610400i | ||||
\(498\) | 3.64076 | + | 1.06902i | 0.163146 | + | 0.0479040i | ||||
\(499\) | 16.8501 | + | 4.94763i | 0.754312 | + | 0.221486i | 0.636211 | − | 0.771515i | \(-0.280501\pi\) |
0.118102 | + | 0.993001i | \(0.462319\pi\) | |||||||
\(500\) | −0.280633 | + | 1.95184i | −0.0125503 | + | 0.0872891i | ||||
\(501\) | −7.72620 | − | 4.96533i | −0.345181 | − | 0.221834i | ||||
\(502\) | 10.5253 | − | 23.0471i | 0.469766 | − | 1.02864i | ||||
\(503\) | 20.7767 | − | 13.3524i | 0.926388 | − | 0.595353i | 0.0118835 | − | 0.999929i | \(-0.496217\pi\) |
0.914504 | + | 0.404576i | \(0.132581\pi\) | |||||||
\(504\) | 13.0977 | + | 28.6801i | 0.583420 | + | 1.27751i | ||||
\(505\) | −7.11763 | − | 49.5042i | −0.316730 | − | 2.20291i | ||||
\(506\) | −21.4439 | − | 13.3216i | −0.953297 | − | 0.592218i | ||||
\(507\) | −1.10547 | + | 7.68872i | −0.0490957 | + | 0.341468i | ||||
\(508\) | 0.326743 | − | 0.0959405i | 0.0144969 | − | 0.00425667i | ||||
\(509\) | 3.03559 | + | 1.95085i | 0.134550 | + | 0.0864701i | 0.606184 | − | 0.795324i | \(-0.292699\pi\) |
−0.471634 | + | 0.881794i | \(0.656336\pi\) | |||||||
\(510\) | −10.9233 | + | 3.20738i | −0.483693 | + | 0.142025i | ||||
\(511\) | 26.0679 | 1.15317 | ||||||||
\(512\) | −14.0166 | + | 16.1760i | −0.619453 | + | 0.714887i | ||||
\(513\) | −2.63357 | + | 1.69250i | −0.116275 | + | 0.0747255i | ||||
\(514\) | 23.4555 | − | 27.0691i | 1.03458 | − | 1.19397i | ||||
\(515\) | −10.5850 | + | 12.2158i | −0.466432 | + | 0.538291i | ||||
\(516\) | 0.189622 | + | 0.121863i | 0.00834764 | + | 0.00536470i | ||||
\(517\) | −9.74941 | − | 20.5111i | −0.428779 | − | 0.902076i | ||||
\(518\) | 25.5170 | − | 16.3988i | 1.12115 | − | 0.720521i | ||||
\(519\) | 0.177372 | − | 1.23365i | 0.00778578 | − | 0.0541513i | ||||
\(520\) | −7.01216 | − | 8.09246i | −0.307503 | − | 0.354878i | ||||
\(521\) | 22.1345 | − | 25.5446i | 0.969732 | − | 1.11913i | −0.0231151 | − | 0.999733i | \(-0.507358\pi\) |
0.992847 | − | 0.119397i | \(-0.0380961\pi\) | |||||||
\(522\) | −1.28460 | − | 8.93461i | −0.0562255 | − | 0.391057i | ||||
\(523\) | −22.9769 | − | 26.5167i | −1.00471 | − | 1.15949i | −0.987174 | − | 0.159648i | \(-0.948964\pi\) |
−0.0175338 | − | 0.999846i | \(-0.505581\pi\) | |||||||
\(524\) | −0.825160 | −0.0360473 | ||||||||
\(525\) | 14.1863 | − | 31.0637i | 0.619142 | − | 1.35573i | ||||
\(526\) | 24.5921 | + | 7.22090i | 1.07227 | + | 0.314846i | ||||
\(527\) | −4.55098 | + | 1.33629i | −0.198244 | + | 0.0582096i | ||||
\(528\) | −1.11411 | + | 8.69168i | −0.0484854 | + | 0.378257i | ||||
\(529\) | −4.83609 | − | 1.42000i | −0.210265 | − | 0.0617393i | ||||
\(530\) | 45.4134 | + | 29.1854i | 1.97263 | + | 1.26773i | ||||
\(531\) | 6.81866 | + | 14.9308i | 0.295904 | + | 0.647940i | ||||
\(532\) | −0.0360967 | + | 0.251058i | −0.00156499 | + | 0.0108848i | ||||
\(533\) | 4.43641 | − | 1.30265i | 0.192162 | − | 0.0564239i | ||||
\(534\) | 6.20214 | − | 3.98587i | 0.268393 | − | 0.172486i | ||||
\(535\) | −59.2077 | − | 38.0505i | −2.55977 | − | 1.64507i | ||||
\(536\) | 2.49826 | − | 17.3758i | 0.107908 | − | 0.750519i | ||||
\(537\) | 1.76763 | + | 12.2941i | 0.0762788 | + | 0.530531i | ||||
\(538\) | −5.88441 | + | 12.8851i | −0.253695 | + | 0.555514i | ||||
\(539\) | −38.5627 | + | 11.9674i | −1.66101 | + | 0.515474i | ||||
\(540\) | 0.407930 | + | 0.893241i | 0.0175545 | + | 0.0384390i | ||||
\(541\) | 25.0335 | − | 16.0880i | 1.07627 | − | 0.691679i | 0.122580 | − | 0.992459i | \(-0.460883\pi\) |
0.953694 | + | 0.300779i | \(0.0972468\pi\) | |||||||
\(542\) | −3.80014 | − | 26.4306i | −0.163230 | − | 1.13529i | ||||
\(543\) | −5.10512 | − | 11.1786i | −0.219082 | − | 0.479722i | ||||
\(544\) | 0.464208 | + | 1.01647i | 0.0199028 | + | 0.0435810i | ||||
\(545\) | −0.283881 | − | 0.621614i | −0.0121601 | − | 0.0266270i | ||||
\(546\) | −1.55511 | − | 3.40521i | −0.0665525 | − | 0.145730i | ||||
\(547\) | 0.767162 | + | 5.33573i | 0.0328015 | + | 0.228139i | 0.999627 | − | 0.0272970i | \(-0.00868997\pi\) |
−0.966826 | + | 0.255436i | \(0.917781\pi\) | |||||||
\(548\) | 0.378333 | − | 0.243140i | 0.0161616 | − | 0.0103864i | ||||
\(549\) | 9.55905 | + | 20.9314i | 0.407970 | + | 0.893331i | ||||
\(550\) | −48.3826 | + | 32.1511i | −2.06304 | + | 1.37093i | ||||
\(551\) | −0.881111 | + | 1.92936i | −0.0375366 | + | 0.0821936i | ||||
\(552\) | 1.34073 | + | 9.32500i | 0.0570654 | + | 0.396898i | ||||
\(553\) | −1.81080 | + | 12.5944i | −0.0770030 | + | 0.535568i | ||||
\(554\) | 6.11419 | + | 3.92935i | 0.259767 | + | 0.166942i | ||||
\(555\) | −10.7563 | + | 6.91268i | −0.456581 | + | 0.293427i | ||||
\(556\) | 0.131858 | − | 0.0387171i | 0.00559205 | − | 0.00164197i | ||||
\(557\) | 6.20277 | − | 43.1412i | 0.262820 | − | 1.82795i | −0.248583 | − | 0.968611i | \(-0.579965\pi\) |
0.511403 | − | 0.859341i | \(-0.329126\pi\) | |||||||
\(558\) | 2.45778 | + | 5.38179i | 0.104046 | + | 0.227829i | ||||
\(559\) | −4.15844 | − | 2.67247i | −0.175883 | − | 0.113033i | ||||
\(560\) | −71.8980 | − | 21.1112i | −3.03825 | − | 0.892109i | ||||
\(561\) | −5.38241 | − | 3.34373i | −0.227246 | − | 0.141172i | ||||
\(562\) | −43.2161 | + | 12.6894i | −1.82296 | + | 0.535270i | ||||
\(563\) | −12.2443 | − | 3.59526i | −0.516037 | − | 0.151522i | 0.0133364 | − | 0.999911i | \(-0.495755\pi\) |
−0.529373 | + | 0.848389i | \(0.677573\pi\) | |||||||
\(564\) | 0.120530 | − | 0.263925i | 0.00507524 | − | 0.0111132i | ||||
\(565\) | 69.0270 | 2.90399 | ||||||||
\(566\) | 2.89088 | + | 3.33625i | 0.121513 | + | 0.140233i | ||||
\(567\) | 3.41561 | + | 23.7561i | 0.143442 | + | 0.997661i | ||||
\(568\) | 7.48520 | − | 8.63838i | 0.314072 | − | 0.362458i | ||||
\(569\) | −5.40371 | − | 6.23621i | −0.226535 | − | 0.261436i | 0.631091 | − | 0.775709i | \(-0.282607\pi\) |
−0.857627 | + | 0.514273i | \(0.828062\pi\) | |||||||
\(570\) | 0.474888 | − | 3.30292i | 0.0198909 | − | 0.138344i | ||||
\(571\) | 18.6073 | − | 11.9582i | 0.778691 | − | 0.500434i | −0.0899079 | − | 0.995950i | \(-0.528657\pi\) |
0.868599 | + | 0.495516i | \(0.165021\pi\) | |||||||
\(572\) | −0.0259416 | + | 0.202382i | −0.00108467 | + | 0.00846203i | ||||
\(573\) | −3.21641 | − | 2.06706i | −0.134367 | − | 0.0863527i | ||||
\(574\) | 20.5094 | − | 23.6691i | 0.856045 | − | 0.987929i | ||||
\(575\) | −42.2538 | + | 48.7635i | −1.76211 | + | 2.03358i | ||||
\(576\) | −16.8185 | + | 10.8086i | −0.700772 | + | 0.450359i | ||||
\(577\) | 2.24343 | − | 2.58906i | 0.0933954 | − | 0.107784i | −0.707128 | − | 0.707086i | \(-0.750010\pi\) |
0.800523 | + | 0.599302i | \(0.204555\pi\) | |||||||
\(578\) | 11.6283 | 0.483673 | ||||||||
\(579\) | 2.53439 | − | 0.744164i | 0.105326 | − | 0.0309264i | ||||
\(580\) | 0.559706 | + | 0.359701i | 0.0232405 | + | 0.0149358i | ||||
\(581\) | −17.3284 | + | 5.08808i | −0.718904 | + | 0.211089i | ||||
\(582\) | 1.10851 | − | 7.70984i | 0.0459491 | − | 0.319583i | ||||
\(583\) | 4.73096 | + | 29.6716i | 0.195936 | + | 1.22887i | ||||
\(584\) | 2.35502 | + | 16.3795i | 0.0974515 | + | 0.677790i | ||||
\(585\) | −4.14521 | − | 9.07675i | −0.171383 | − | 0.375277i | ||||
\(586\) | 37.5179 | − | 24.1113i | 1.54985 | − | 0.996027i | ||||
\(587\) | −15.8688 | + | 34.7478i | −0.654975 | + | 1.43420i | 0.232156 | + | 0.972679i | \(0.425422\pi\) |
−0.887131 | + | 0.461517i | \(0.847305\pi\) | |||||||
\(588\) | −0.433963 | − | 0.278891i | −0.0178963 | − | 0.0115013i | ||||
\(589\) | 0.197852 | − | 1.37609i | 0.00815236 | − | 0.0567009i | ||||
\(590\) | −36.2294 | − | 10.6379i | −1.49154 | − | 0.437956i | ||||
\(591\) | 1.63360 | + | 0.479669i | 0.0671975 | + | 0.0197310i | ||||
\(592\) | 13.0272 | + | 15.0342i | 0.535413 | + | 0.617900i | ||||
\(593\) | 26.4237 | + | 30.4946i | 1.08509 | + | 1.25226i | 0.965768 | + | 0.259407i | \(0.0835271\pi\) |
0.119324 | + | 0.992855i | \(0.461927\pi\) | |||||||
\(594\) | −6.84768 | + | 15.6231i | −0.280964 | + | 0.641025i | ||||
\(595\) | 35.4837 | − | 40.9504i | 1.45469 | − | 1.67880i | ||||
\(596\) | −0.238015 | −0.00974949 | ||||||||
\(597\) | −10.6269 | + | 3.12035i | −0.434931 | + | 0.127707i | ||||
\(598\) | 1.00660 | + | 7.00108i | 0.0411630 | + | 0.286295i | ||||
\(599\) | 4.91532 | − | 10.7630i | 0.200834 | − | 0.439766i | −0.782239 | − | 0.622979i | \(-0.785922\pi\) |
0.983073 | + | 0.183213i | \(0.0586497\pi\) | |||||||
\(600\) | 20.8003 | + | 6.10751i | 0.849168 | + | 0.249338i | ||||
\(601\) | 28.1068 | + | 32.4370i | 1.14650 | + | 1.32313i | 0.938609 | + | 0.344982i | \(0.112115\pi\) |
0.207893 | + | 0.978152i | \(0.433340\pi\) | |||||||
\(602\) | −33.4825 | −1.36464 | ||||||||
\(603\) | 6.79566 | − | 14.8804i | 0.276741 | − | 0.605978i | ||||
\(604\) | 1.07251 | 0.0436399 | ||||||||
\(605\) | −44.1261 | − | 11.5012i | −1.79398 | − | 0.467591i | ||||
\(606\) | 11.0994 | 0.450883 | ||||||||
\(607\) | −20.3423 | + | 44.5434i | −0.825667 | + | 1.80796i | −0.311587 | + | 0.950218i | \(0.600860\pi\) |
−0.514081 | + | 0.857742i | \(0.671867\pi\) | |||||||
\(608\) | −0.327536 | −0.0132833 | ||||||||
\(609\) | −4.44921 | − | 5.13467i | −0.180291 | − | 0.208067i | ||||
\(610\) | −50.7898 | − | 14.9132i | −2.05642 | − | 0.603820i | ||||
\(611\) | −2.64325 | + | 5.78791i | −0.106934 | + | 0.234154i | ||||
\(612\) | 0.0728520 | + | 0.506697i | 0.00294487 | + | 0.0204820i | ||||
\(613\) | −5.29954 | + | 1.55609i | −0.214047 | + | 0.0628497i | −0.386998 | − | 0.922081i | \(-0.626488\pi\) |
0.172951 | + | 0.984930i | \(0.444670\pi\) | |||||||
\(614\) | −8.59244 | −0.346763 | ||||||||
\(615\) | −8.64544 | + | 9.97738i | −0.348618 | + | 0.402327i | ||||
\(616\) | −17.3304 | − | 36.4601i | −0.698260 | − | 1.46902i | ||||
\(617\) | −1.81487 | − | 2.09447i | −0.0730638 | − | 0.0843201i | 0.718041 | − | 0.696001i | \(-0.245039\pi\) |
−0.791105 | + | 0.611681i | \(0.790494\pi\) | |||||||
\(618\) | −2.34913 | − | 2.71104i | −0.0944958 | − | 0.109054i | ||||
\(619\) | 29.7011 | + | 8.72102i | 1.19379 | + | 0.350527i | 0.817474 | − | 0.575965i | \(-0.195374\pi\) |
0.376313 | + | 0.926493i | \(0.377192\pi\) | |||||||
\(620\) | −0.418424 | − | 0.122860i | −0.0168043 | − | 0.00493419i | ||||
\(621\) | −2.69640 | + | 18.7539i | −0.108203 | + | 0.752567i | ||||
\(622\) | −14.4724 | − | 9.30082i | −0.580288 | − | 0.372929i | ||||
\(623\) | −14.5769 | + | 31.9189i | −0.584010 | + | 1.27880i | ||||
\(624\) | 2.06540 | − | 1.32735i | 0.0826820 | − | 0.0531365i | ||||
\(625\) | 25.9841 | + | 56.8972i | 1.03936 | + | 2.27589i | ||||
\(626\) | −4.29649 | − | 29.8827i | −0.171722 | − | 1.19435i | ||||
\(627\) | 1.54688 | − | 1.02793i | 0.0617763 | − | 0.0410514i | ||||
\(628\) | −0.0395200 | + | 0.274868i | −0.00157702 | + | 0.0109684i | ||||
\(629\) | −13.8022 | + | 4.05269i | −0.550329 | + | 0.161591i | ||||
\(630\) | −56.8598 | − | 36.5416i | −2.26535 | − | 1.45585i | ||||
\(631\) | 11.9941 | − | 3.52179i | 0.477478 | − | 0.140200i | −0.0341334 | − | 0.999417i | \(-0.510867\pi\) |
0.511611 | + | 0.859217i | \(0.329049\pi\) | |||||||
\(632\) | −8.07718 | −0.321293 | ||||||||
\(633\) | −5.79611 | + | 6.68906i | −0.230375 | + | 0.265866i | ||||
\(634\) | 12.0667 | − | 7.75482i | 0.479231 | − | 0.307983i | ||||
\(635\) | 13.9638 | − | 16.1151i | 0.554137 | − | 0.639508i | ||||
\(636\) | −0.251381 | + | 0.290110i | −0.00996792 | + | 0.0115036i | ||||
\(637\) | 9.51688 | + | 6.11613i | 0.377073 | + | 0.242330i | ||||
\(638\) | 1.81976 | + | 11.4131i | 0.0720449 | + | 0.451850i | ||||
\(639\) | 8.96073 | − | 5.75871i | 0.354481 | − | 0.227811i | ||||
\(640\) | 6.98677 | − | 48.5940i | 0.276176 | − | 1.92085i | ||||
\(641\) | −14.9607 | − | 17.2656i | −0.590914 | − | 0.681951i | 0.379001 | − | 0.925396i | \(-0.376268\pi\) |
−0.969915 | + | 0.243446i | \(0.921722\pi\) | |||||||
\(642\) | 10.2286 | − | 11.8044i | 0.403690 | − | 0.465883i | ||||
\(643\) | −2.27823 | − | 15.8455i | −0.0898448 | − | 0.624884i | −0.984138 | − | 0.177403i | \(-0.943230\pi\) |
0.894293 | − | 0.447481i | \(-0.147679\pi\) | |||||||
\(644\) | 1.00527 | + | 1.16014i | 0.0396132 | + | 0.0457160i | ||||
\(645\) | 14.1141 | 0.555740 | ||||||||
\(646\) | 1.55952 | − | 3.41488i | 0.0613586 | − | 0.134357i | ||||
\(647\) | 43.3835 | + | 12.7386i | 1.70558 | + | 0.500804i | 0.981911 | − | 0.189341i | \(-0.0606350\pi\) |
0.723671 | + | 0.690145i | \(0.242453\pi\) | |||||||
\(648\) | −14.6184 | + | 4.29234i | −0.574264 | + | 0.168619i | ||||
\(649\) | −9.02215 | − | 18.9811i | −0.354150 | − | 0.745071i | ||||
\(650\) | 15.6165 | + | 4.58543i | 0.612531 | + | 0.179855i | ||||
\(651\) | 3.74631 | + | 2.40761i | 0.146829 | + | 0.0943616i | ||||
\(652\) | 0.119053 | + | 0.260690i | 0.00466248 | + | 0.0102094i | ||||
\(653\) | 5.31233 | − | 36.9481i | 0.207888 | − | 1.44589i | −0.572145 | − | 0.820152i | \(-0.693889\pi\) |
0.780033 | − | 0.625739i | \(-0.215202\pi\) | |||||||
\(654\) | 0.145516 | − | 0.0427275i | 0.00569014 | − | 0.00167078i | ||||
\(655\) | −43.4666 | + | 27.9343i | −1.69838 | + | 1.09148i | ||||
\(656\) | 17.2794 | + | 11.1048i | 0.674647 | + | 0.433570i | ||||
\(657\) | −2.19461 | + | 15.2638i | −0.0856199 | + | 0.595499i | ||||
\(658\) | 6.13367 | + | 42.6606i | 0.239115 | + | 1.66308i | ||||
\(659\) | 0.663557 | − | 1.45299i | 0.0258485 | − | 0.0566003i | −0.896267 | − | 0.443514i | \(-0.853732\pi\) |
0.922116 | + | 0.386914i | \(0.126459\pi\) | |||||||
\(660\) | −0.250102 | − | 0.526171i | −0.00973519 | − | 0.0204812i | ||||
\(661\) | −6.18495 | − | 13.5431i | −0.240567 | − | 0.526767i | 0.750383 | − | 0.661003i | \(-0.229869\pi\) |
−0.990949 | + | 0.134236i | \(0.957142\pi\) | |||||||
\(662\) | 2.74883 | − | 1.76656i | 0.106836 | − | 0.0686594i | ||||
\(663\) | 0.252657 | + | 1.75727i | 0.00981240 | + | 0.0682467i | ||||
\(664\) | −4.76254 | − | 10.4285i | −0.184822 | − | 0.404705i | ||||
\(665\) | 6.59767 | + | 14.4469i | 0.255846 | + | 0.560226i | ||||
\(666\) | 7.45396 | + | 16.3219i | 0.288835 | + | 0.632460i | ||||
\(667\) | 5.33269 | + | 11.6770i | 0.206482 | + | 0.452133i | ||||
\(668\) | −0.135198 | − | 0.940323i | −0.00523097 | − | 0.0363822i | ||||
\(669\) | −5.01683 | + | 3.22412i | −0.193962 | + | 0.124652i | ||||
\(670\) | 15.6327 | + | 34.2308i | 0.603944 | + | 1.32245i | ||||
\(671\) | −12.6481 | − | 26.6095i | −0.488275 | − | 1.02725i | ||||
\(672\) | 0.435840 | − | 0.954356i | 0.0168129 | − | 0.0368151i | ||||
\(673\) | 0.790420 | + | 5.49749i | 0.0304685 | + | 0.211913i | 0.999368 | − | 0.0355407i | \(-0.0113154\pi\) |
−0.968900 | + | 0.247453i | \(0.920406\pi\) | |||||||
\(674\) | −5.08092 | + | 35.3386i | −0.195710 | + | 1.36119i | ||||
\(675\) | 36.6772 | + | 23.5710i | 1.41171 | + | 0.907249i | ||||
\(676\) | −0.675936 | + | 0.434397i | −0.0259975 | + | 0.0167076i | ||||
\(677\) | −1.43892 | + | 0.422506i | −0.0553023 | + | 0.0162382i | −0.309267 | − | 0.950975i | \(-0.600084\pi\) |
0.253964 | + | 0.967214i | \(0.418265\pi\) | |||||||
\(678\) | −2.18014 | + | 15.1632i | −0.0837278 | + | 0.582340i | ||||
\(679\) | 15.4006 | + | 33.7226i | 0.591021 | + | 1.29416i | ||||
\(680\) | 28.9365 | + | 18.5964i | 1.10967 | + | 0.713139i | ||||
\(681\) | −6.63653 | − | 1.94866i | −0.254312 | − | 0.0746729i | ||||
\(682\) | −3.25203 | − | 6.84171i | −0.124527 | − | 0.261983i | ||||
\(683\) | 31.3239 | − | 9.19754i | 1.19858 | − | 0.351934i | 0.379269 | − | 0.925287i | \(-0.376176\pi\) |
0.819309 | + | 0.573353i | \(0.194357\pi\) | |||||||
\(684\) | −0.143966 | − | 0.0422724i | −0.00550469 | − | 0.00161632i | ||||
\(685\) | 11.6982 | − | 25.6155i | 0.446966 | − | 0.978719i | ||||
\(686\) | 32.5672 | 1.24342 | ||||||||
\(687\) | 2.75843 | + | 3.18339i | 0.105241 | + | 0.121454i | ||||
\(688\) | −3.12511 | − | 21.7356i | −0.119144 | − | 0.828663i | ||||
\(689\) | 5.51283 | − | 6.36215i | 0.210022 | − | 0.242379i | ||||
\(690\) | −13.2253 | − | 15.2628i | −0.503478 | − | 0.581045i | ||||
\(691\) | 4.52932 | − | 31.5021i | 0.172304 | − | 1.19840i | −0.701698 | − | 0.712475i | \(-0.747574\pi\) |
0.874001 | − | 0.485923i | \(-0.161517\pi\) | |||||||
\(692\) | 0.108453 | − | 0.0696988i | 0.00412278 | − | 0.00264955i | ||||
\(693\) | −5.92340 | − | 37.1503i | −0.225011 | − | 1.41122i | ||||
\(694\) | 36.2210 | + | 23.2779i | 1.37493 | + | 0.883615i | ||||
\(695\) | 5.63515 | − | 6.50331i | 0.213753 | − | 0.246685i | ||||
\(696\) | 2.82438 | − | 3.25951i | 0.107058 | − | 0.123551i | ||||
\(697\) | −12.4949 | + | 8.03000i | −0.473279 | + | 0.304158i | ||||
\(698\) | −1.61216 | + | 1.86053i | −0.0610211 | + | 0.0704221i | ||||
\(699\) | −16.0816 | −0.608262 | ||||||||
\(700\) | 3.38930 | − | 0.995190i | 0.128104 | − | 0.0376146i | ||||
\(701\) | −37.7393 | − | 24.2536i | −1.42539 | − | 0.916044i | −0.999939 | − | 0.0110639i | \(-0.996478\pi\) |
−0.425454 | − | 0.904980i | \(-0.639885\pi\) | |||||||
\(702\) | 4.58566 | − | 1.34647i | 0.173075 | − | 0.0508193i | ||||
\(703\) | 0.600046 | − | 4.17341i | 0.0226311 | − | 0.157403i | ||||
\(704\) | 21.3196 | − | 14.1672i | 0.803511 | − | 0.533946i | ||||
\(705\) | −2.58556 | − | 17.9830i | −0.0973778 | − | 0.677278i | ||||
\(706\) | −10.2707 | − | 22.4897i | −0.386542 | − | 0.846410i | ||||
\(707\) | −44.4421 | + | 28.5612i | −1.67142 | + | 1.07415i | ||||
\(708\) | 0.111539 | − | 0.244237i | 0.00419191 | − | 0.00917899i | ||||
\(709\) | 16.7448 | + | 10.7612i | 0.628865 | + | 0.404147i | 0.815889 | − | 0.578209i | \(-0.196248\pi\) |
−0.187024 | + | 0.982355i | \(0.559884\pi\) | |||||||
\(710\) | −3.48714 | + | 24.2536i | −0.130870 | + | 0.910220i | ||||
\(711\) | −7.22210 | − | 2.12060i | −0.270850 | − | 0.0795287i | ||||
\(712\) | −21.3729 | − | 6.27565i | −0.800983 | − | 0.235190i | ||||
\(713\) | −5.51005 | − | 6.35893i | −0.206353 | − | 0.238144i | ||||
\(714\) | 7.87489 | + | 9.08811i | 0.294710 | + | 0.340114i | ||||
\(715\) | 5.48477 | + | 11.5390i | 0.205119 | + | 0.431534i | ||||
\(716\) | −0.841338 | + | 0.970956i | −0.0314423 | + | 0.0362863i | ||||
\(717\) | −11.2531 | −0.420253 | ||||||||
\(718\) | 15.8536 | − | 4.65503i | 0.591651 | − | 0.173724i | ||||
\(719\) | −6.66587 | − | 46.3621i | −0.248595 | − | 1.72902i | −0.606348 | − | 0.795199i | \(-0.707366\pi\) |
0.357753 | − | 0.933816i | \(-0.383543\pi\) | |||||||
\(720\) | 18.4145 | − | 40.3220i | 0.686266 | − | 1.50271i | ||||
\(721\) | 16.3820 | + | 4.81019i | 0.610098 | + | 0.179141i | ||||
\(722\) | −17.1644 | − | 19.8088i | −0.638794 | − | 0.737207i | ||||
\(723\) | −3.30291 | −0.122837 | ||||||||
\(724\) | 0.528064 | − | 1.15630i | 0.0196253 | − | 0.0429735i | ||||
\(725\) | 29.5392 | 1.09706 | ||||||||
\(726\) | 3.92016 | − | 9.32995i | 0.145491 | − | 0.346267i | ||||
\(727\) | 11.3305 | 0.420225 | 0.210112 | − | 0.977677i | \(-0.432617\pi\) | ||||
0.210112 | + | 0.977677i | \(0.432617\pi\) | |||||||
\(728\) | −4.69859 | + | 10.2885i | −0.174141 | + | 0.381316i | ||||
\(729\) | −7.32756 | −0.271391 | ||||||||
\(730\) | −23.2305 | − | 26.8094i | −0.859799 | − | 0.992261i | ||||
\(731\) | 15.2357 | + | 4.47360i | 0.563512 | + | 0.165462i | ||||
\(732\) | 0.156367 | − | 0.342395i | 0.00577948 | − | 0.0126553i | ||||
\(733\) | 3.87723 | + | 26.9667i | 0.143209 | + | 0.996038i | 0.927013 | + | 0.375030i | \(0.122367\pi\) |
−0.783804 | + | 0.621008i | \(0.786723\pi\) | |||||||
\(734\) | −0.938794 | + | 0.275655i | −0.0346515 | + | 0.0101746i | ||||
\(735\) | −32.3010 | −1.19144 | ||||||||
\(736\) | −1.29814 | + | 1.49814i | −0.0478503 | + | 0.0552221i | ||||
\(737\) | −8.40822 | + | 19.1835i | −0.309721 | + | 0.706634i | ||||
\(738\) | 12.1326 | + | 14.0018i | 0.446608 | + | 0.515413i | ||||
\(739\) | −12.9573 | − | 14.9536i | −0.476643 | − | 0.550075i | 0.465604 | − | 0.884993i | \(-0.345837\pi\) |
−0.942247 | + | 0.334918i | \(0.891292\pi\) | |||||||
\(740\) | −1.26900 | − | 0.372611i | −0.0466492 | − | 0.0136974i | ||||
\(741\) | −0.499288 | − | 0.146604i | −0.0183418 | − | 0.00538564i | ||||
\(742\) | 8.11503 | − | 56.4413i | 0.297912 | − | 2.07202i | ||||
\(743\) | −3.69076 | − | 2.37191i | −0.135401 | − | 0.0870168i | 0.471187 | − | 0.882033i | \(-0.343826\pi\) |
−0.606588 | + | 0.795017i | \(0.707462\pi\) | |||||||
\(744\) | −1.17435 | + | 2.57147i | −0.0430539 | + | 0.0942748i | ||||
\(745\) | −12.5378 | + | 8.05757i | −0.459350 | + | 0.295206i | ||||
\(746\) | −22.8722 | − | 50.0832i | −0.837412 | − | 1.83368i | ||||
\(747\) | −1.52044 | − | 10.5749i | −0.0556299 | − | 0.386915i | ||||
\(748\) | −0.103202 | − | 0.647258i | −0.00377342 | − | 0.0236661i | ||||
\(749\) | −10.5800 | + | 73.5853i | −0.386584 | + | 2.68875i | ||||
\(750\) | −26.2927 | + | 7.72024i | −0.960074 | + | 0.281903i | ||||
\(751\) | 11.2116 | + | 7.20528i | 0.409118 | + | 0.262924i | 0.728973 | − | 0.684542i | \(-0.239998\pi\) |
−0.319855 | + | 0.947466i | \(0.603634\pi\) | |||||||
\(752\) | −27.1213 | + | 7.96352i | −0.989010 | + | 0.290400i | ||||
\(753\) | 11.2815 | 0.411122 | ||||||||
\(754\) | 2.12050 | − | 2.44719i | 0.0772241 | − | 0.0891214i | ||||
\(755\) | 56.4963 | − | 36.3080i | 2.05611 | − | 1.32138i | ||||
\(756\) | 0.679258 | − | 0.783905i | 0.0247044 | − | 0.0285104i | ||||
\(757\) | −13.8830 | + | 16.0219i | −0.504587 | + | 0.582324i | −0.949704 | − | 0.313148i | \(-0.898616\pi\) |
0.445118 | + | 0.895472i | \(0.353162\pi\) | |||||||
\(758\) | 2.77111 | + | 1.78088i | 0.100651 | + | 0.0646846i | ||||
\(759\) | 1.42915 | − | 11.1494i | 0.0518747 | − | 0.404698i | ||||
\(760\) | −8.48154 | + | 5.45075i | −0.307658 | + | 0.197720i | ||||
\(761\) | −1.43773 | + | 9.99963i | −0.0521177 | + | 0.362486i | 0.947028 | + | 0.321152i | \(0.104070\pi\) |
−0.999145 | + | 0.0413344i | \(0.986839\pi\) | |||||||
\(762\) | 3.09898 | + | 3.57642i | 0.112264 | + | 0.129560i | ||||
\(763\) | −0.472701 | + | 0.545526i | −0.0171129 | + | 0.0197494i | ||||
\(764\) | −0.0562828 | − | 0.391455i | −0.00203624 | − | 0.0141624i | ||||
\(765\) | 20.9909 | + | 24.2248i | 0.758927 | + | 0.875848i | ||||
\(766\) | 18.5724 | 0.671047 | ||||||||
\(767\) | −2.44608 | + | 5.35616i | −0.0883227 | + | 0.193400i | ||||
\(768\) | 0.974700 | + | 0.286198i | 0.0351714 | + | 0.0103273i | ||||
\(769\) | 34.9658 | − | 10.2669i | 1.26090 | − | 0.370233i | 0.418069 | − | 0.908415i | \(-0.362707\pi\) |
0.842829 | + | 0.538182i | \(0.180889\pi\) | |||||||
\(770\) | 73.5098 | + | 45.6666i | 2.64911 | + | 1.64571i | ||||
\(771\) | 15.3022 | + | 4.49314i | 0.551096 | + | 0.161816i | ||||
\(772\) | 0.229847 | + | 0.147714i | 0.00827239 | + | 0.00531634i | ||||
\(773\) | −3.13165 | − | 6.85735i | −0.112638 | − | 0.246642i | 0.844915 | − | 0.534901i | \(-0.179651\pi\) |
−0.957553 | + | 0.288259i | \(0.906924\pi\) | |||||||
\(774\) | 2.81883 | − | 19.6054i | 0.101321 | − | 0.704702i | ||||
\(775\) | −18.5773 | + | 5.45480i | −0.667318 | + | 0.195942i | ||||
\(776\) | −19.7980 | + | 12.7234i | −0.710708 | + | 0.456745i | ||||
\(777\) | 11.3618 | + | 7.30179i | 0.407602 | + | 0.261950i | ||||
\(778\) | −1.24695 | + | 8.67269i | −0.0447051 | + | 0.310931i | ||||
\(779\) | −0.619562 | − | 4.30915i | −0.0221981 | − | 0.154391i | ||||
\(780\) | −0.0678073 | + | 0.148477i | −0.00242789 | + | 0.00531634i | ||||
\(781\) | −11.3588 | + | 7.54813i | −0.406451 | + | 0.270093i | ||||
\(782\) | −9.43859 | − | 20.6676i | −0.337523 | − | 0.739073i | ||||
\(783\) | 7.29698 | − | 4.68948i | 0.260773 | − | 0.167588i | ||||
\(784\) | 7.15204 | + | 49.7435i | 0.255430 | + | 1.77655i | ||||
\(785\) | 7.22337 | + | 15.8170i | 0.257813 | + | 0.564532i | ||||
\(786\) | −4.76350 | − | 10.4306i | −0.169908 | − | 0.372047i | ||||
\(787\) | 4.52171 | + | 9.90117i | 0.161182 | + | 0.352939i | 0.972941 | − | 0.231053i | \(-0.0742172\pi\) |
−0.811759 | + | 0.583992i | \(0.801490\pi\) | |||||||
\(788\) | 0.0731591 | + | 0.160196i | 0.00260618 | + | 0.00570675i | ||||
\(789\) | 1.62413 | + | 11.2961i | 0.0578207 | + | 0.402152i | ||||
\(790\) | 14.5664 | − | 9.36123i | 0.518248 | − | 0.333058i | ||||
\(791\) | −30.2889 | − | 66.3235i | −1.07695 | − | 2.35819i | ||||
\(792\) | 22.8080 | − | 7.07815i | 0.810445 | − | 0.251511i | ||||
\(793\) | −3.42915 | + | 7.50878i | −0.121773 | + | 0.266645i | ||||
\(794\) | −3.69927 | − | 25.7290i | −0.131282 | − | 0.913089i | ||||
\(795\) | −3.42078 | + | 23.7920i | −0.121322 | + | 0.843816i | ||||
\(796\) | −0.963770 | − | 0.619377i | −0.0341599 | − | 0.0219533i | ||||
\(797\) | 31.2071 | − | 20.0556i | 1.10541 | − | 0.710406i | 0.145124 | − | 0.989413i | \(-0.453642\pi\) |
0.960289 | + | 0.279008i | \(0.0900055\pi\) | |||||||
\(798\) | −3.38194 | + | 0.993026i | −0.119719 | + | 0.0351527i | ||||
\(799\) | 2.90886 | − | 20.2316i | 0.102908 | − | 0.715742i | ||||
\(800\) | 1.89492 | + | 4.14930i | 0.0669957 | + | 0.146700i | ||||
\(801\) | −17.4627 | − | 11.2226i | −0.617013 | − | 0.396530i | ||||
\(802\) | 1.86802 | + | 0.548500i | 0.0659620 | + | 0.0193682i | ||||
\(803\) | 2.51032 | − | 19.5842i | 0.0885873 | − | 0.691110i | ||||
\(804\) | −0.256756 | + | 0.0753904i | −0.00905509 | + | 0.00265881i | ||||
\(805\) | 92.2286 | + | 27.0808i | 3.25063 | + | 0.954471i | ||||
\(806\) | −0.881687 | + | 1.93062i | −0.0310561 | + | 0.0680034i | ||||
\(807\) | −6.30722 | −0.222025 | ||||||||
\(808\) | −21.9612 | − | 25.3446i | −0.772592 | − | 0.891619i | ||||
\(809\) | 7.07230 | + | 49.1889i | 0.248649 | + | 1.72939i | 0.606039 | + | 0.795435i | \(0.292757\pi\) |
−0.357390 | + | 0.933955i | \(0.616333\pi\) | |||||||
\(810\) | 21.3880 | − | 24.6831i | 0.751499 | − | 0.867276i | ||||
\(811\) | 7.81443 | + | 9.01834i | 0.274402 | + | 0.316677i | 0.876178 | − | 0.481989i | \(-0.160085\pi\) |
−0.601776 | + | 0.798665i | \(0.705540\pi\) | |||||||
\(812\) | 0.100015 | − | 0.695620i | 0.00350984 | − | 0.0244115i | ||||
\(813\) | 10.0022 | − | 6.42800i | 0.350791 | − | 0.225440i | ||||
\(814\) | −9.86275 | − | 20.7495i | −0.345689 | − | 0.727271i | ||||
\(815\) | 15.0965 | + | 9.70192i | 0.528807 | + | 0.339843i | ||||
\(816\) | −5.16467 | + | 5.96035i | −0.180800 | + | 0.208654i | ||||
\(817\) | −3.04788 | + | 3.51744i | −0.106632 | + | 0.123060i | ||||
\(818\) | 14.9990 | − | 9.63928i | 0.524428 | − | 0.337029i | ||||
\(819\) | −6.90234 | + | 7.96572i | −0.241187 | + | 0.278345i | ||||
\(820\) | −1.36559 | −0.0476884 | ||||||||
\(821\) | −26.2034 | + | 7.69400i | −0.914504 | + | 0.268523i | −0.704936 | − | 0.709271i | \(-0.749024\pi\) |
−0.209569 | + | 0.977794i | \(0.567206\pi\) | |||||||
\(822\) | 5.25751 | + | 3.37879i | 0.183377 | + | 0.117849i | ||||
\(823\) | 45.1001 | − | 13.2426i | 1.57209 | − | 0.461608i | 0.624482 | − | 0.781039i | \(-0.285310\pi\) |
0.947610 | + | 0.319431i | \(0.103492\pi\) | |||||||
\(824\) | −1.54246 | + | 10.7281i | −0.0537343 | + | 0.373730i | ||||
\(825\) | −21.9713 | − | 13.6493i | −0.764943 | − | 0.475207i | ||||
\(826\) | 5.67612 | + | 39.4783i | 0.197498 | + | 1.37363i | ||||
\(827\) | −4.76904 | − | 10.4427i | −0.165836 | − | 0.363130i | 0.808409 | − | 0.588621i | \(-0.200329\pi\) |
−0.974245 | + | 0.225491i | \(0.927601\pi\) | |||||||
\(828\) | −0.763945 | + | 0.490957i | −0.0265489 | + | 0.0170620i | ||||
\(829\) | −19.9527 | + | 43.6904i | −0.692988 | + | 1.51743i | 0.155284 | + | 0.987870i | \(0.450371\pi\) |
−0.848272 | + | 0.529561i | \(0.822357\pi\) | |||||||
\(830\) | 20.6751 | + | 13.2871i | 0.717644 | + | 0.461202i | ||||
\(831\) | −0.460553 | + | 3.20321i | −0.0159764 | + | 0.111118i | ||||
\(832\) | −6.88135 | − | 2.02055i | −0.238568 | − | 0.0700498i | ||||
\(833\) | −34.8680 | − | 10.2382i | −1.20810 | − | 0.354731i | ||||
\(834\) | 1.25061 | + | 1.44328i | 0.0433050 | + | 0.0499766i | ||||
\(835\) | −38.9546 | − | 44.9561i | −1.34808 | − | 1.55577i | ||||
\(836\) | 0.185138 | + | 0.0512954i | 0.00640314 | + | 0.00177409i | ||||
\(837\) | −3.72312 | + | 4.29671i | −0.128690 | + | 0.148516i | ||||
\(838\) | −53.5631 | −1.85031 | ||||||||
\(839\) | −13.1996 | + | 3.87575i | −0.455701 | + | 0.133806i | −0.501524 | − | 0.865144i | \(-0.667227\pi\) |
0.0458233 | + | 0.998950i | \(0.485409\pi\) | |||||||
\(840\) | −4.59604 | − | 31.9662i | −0.158579 | − | 1.10294i | ||||
\(841\) | −9.60570 | + | 21.0335i | −0.331231 | + | 0.725295i | ||||
\(842\) | −29.6388 | − | 8.70274i | −1.02142 | − | 0.299916i | ||||
\(843\) | −13.1332 | − | 15.1565i | −0.452331 | − | 0.522017i | ||||
\(844\) | −0.915521 | −0.0315135 | ||||||||
\(845\) | −20.9002 | + | 45.7651i | −0.718989 | + | 1.57437i | ||||
\(846\) | −25.4960 | −0.876569 | ||||||||
\(847\) | 8.31167 | + | 47.4445i | 0.285592 | + | 1.63021i | ||||
\(848\) | 37.3971 | 1.28422 | ||||||||
\(849\) | −0.816546 | + | 1.78799i | −0.0280238 | + | 0.0613635i | ||||
\(850\) | −52.2830 | −1.79329 | ||||||||
\(851\) | −16.7109 | − | 19.2854i | −0.572841 | − | 0.661093i | ||||
\(852\) | −0.167181 | − | 0.0490888i | −0.00572754 | − | 0.00168176i | ||||
\(853\) | 5.07736 | − | 11.1179i | 0.173846 | − | 0.380669i | −0.802573 | − | 0.596554i | \(-0.796536\pi\) |
0.976419 | + | 0.215885i | \(0.0692636\pi\) | |||||||
\(854\) | 7.95734 | + | 55.3445i | 0.272295 | + | 1.89385i | ||||
\(855\) | −9.01470 | + | 2.64696i | −0.308296 | + | 0.0905240i | ||||
\(856\) | −47.1926 | −1.61301 | ||||||||
\(857\) | 2.06982 | − | 2.38870i | 0.0707036 | − | 0.0815963i | −0.719296 | − | 0.694704i | \(-0.755535\pi\) |
0.789999 | + | 0.613108i | \(0.210081\pi\) | |||||||
\(858\) | −2.70801 | + | 0.840396i | −0.0924500 | + | 0.0286907i | ||||
\(859\) | −28.8824 | − | 33.3320i | −0.985453 | − | 1.13727i | −0.990531 | − | 0.137287i | \(-0.956162\pi\) |
0.00507784 | − | 0.999987i | \(-0.498384\pi\) | |||||||
\(860\) | 0.956052 | + | 1.10334i | 0.0326011 | + | 0.0376237i | ||||
\(861\) | 13.3802 | + | 3.92878i | 0.455996 | + | 0.133893i | ||||
\(862\) | 3.54997 | + | 1.04237i | 0.120913 | + | 0.0355031i | ||||
\(863\) | −2.77885 | + | 19.3273i | −0.0945932 | + | 0.657910i | 0.886264 | + | 0.463181i | \(0.153292\pi\) |
−0.980857 | + | 0.194729i | \(0.937617\pi\) | |||||||
\(864\) | 1.12682 | + | 0.724161i | 0.0383351 | + | 0.0246365i | ||||
\(865\) | 3.35343 | − | 7.34298i | 0.114020 | − | 0.249669i | ||||
\(866\) | 42.7183 | − | 27.4534i | 1.45163 | − | 0.932904i | ||||
\(867\) | 2.15088 | + | 4.70976i | 0.0730476 | + | 0.159952i | ||||
\(868\) | 0.0655553 | + | 0.455947i | 0.00222509 | + | 0.0154759i | ||||
\(869\) | 9.28749 | + | 2.57324i | 0.315057 | + | 0.0872913i | ||||
\(870\) | −1.31580 | + | 9.15156i | −0.0446097 | + | 0.310267i | ||||
\(871\) | 5.63070 | − | 1.65332i | 0.190789 | − | 0.0560207i | ||||
\(872\) | −0.385482 | − | 0.247734i | −0.0130541 | − | 0.00838933i | ||||
\(873\) | −21.0426 | + | 6.17866i | −0.712184 | + | 0.209116i | ||||
\(874\) | 6.65967 | 0.225267 | ||||||||
\(875\) | 85.4102 | − | 98.5686i | 2.88739 | − | 3.33223i | ||||
\(876\) | 0.212209 | − | 0.136378i | 0.00716987 | − | 0.00460779i | ||||
\(877\) | −9.65455 | + | 11.1419i | −0.326011 | + | 0.376237i | −0.894968 | − | 0.446131i | \(-0.852802\pi\) |
0.568957 | + | 0.822367i | \(0.307347\pi\) | |||||||
\(878\) | −18.0712 | + | 20.8553i | −0.609873 | + | 0.703831i | ||||
\(879\) | 16.7053 | + | 10.7359i | 0.563457 | + | 0.362112i | ||||
\(880\) | −22.7841 | + | 51.9823i | −0.768051 | + | 1.75232i | ||||
\(881\) | −13.2187 | + | 8.49517i | −0.445351 | + | 0.286209i | −0.744033 | − | 0.668143i | \(-0.767089\pi\) |
0.298682 | + | 0.954353i | \(0.403453\pi\) | |||||||
\(882\) | −6.45110 | + | 44.8684i | −0.217220 | + | 1.51080i | ||||
\(883\) | 23.1818 | + | 26.7532i | 0.780128 | + | 0.900316i | 0.997119 | − | 0.0758578i | \(-0.0241695\pi\) |
−0.216990 | + | 0.976174i | \(0.569624\pi\) | |||||||
\(884\) | −0.120257 | + | 0.138784i | −0.00404469 | + | 0.00466782i | ||||
\(885\) | −2.39269 | − | 16.6415i | −0.0804294 | − | 0.559399i | ||||
\(886\) | 14.9506 | + | 17.2539i | 0.502274 | + | 0.579655i | ||||
\(887\) | −2.72103 | −0.0913631 | −0.0456816 | − | 0.998956i | \(-0.514546\pi\) | ||||
−0.0456816 | + | 0.998956i | \(0.514546\pi\) | |||||||
\(888\) | −3.56157 | + | 7.79876i | −0.119519 | + | 0.261709i | ||||
\(889\) | −21.6112 | − | 6.34563i | −0.724817 | − | 0.212826i | ||||
\(890\) | 45.8171 | − | 13.4531i | 1.53579 | − | 0.450950i | ||||
\(891\) | 18.1763 | − | 0.278368i | 0.608929 | − | 0.00932569i | ||||
\(892\) | −0.591869 | − | 0.173788i | −0.0198172 | − | 0.00581886i | ||||
\(893\) | 5.03997 | + | 3.23899i | 0.168656 | + | 0.108389i | ||||
\(894\) | −1.37402 | − | 3.00868i | −0.0459541 | − | 0.100625i | ||||
\(895\) | −11.4489 | + | 79.6285i | −0.382693 | + | 2.66169i | ||||
\(896\) | −49.7566 | + | 14.6098i | −1.66225 | + | 0.488081i | ||||
\(897\) | −2.64943 | + | 1.70268i | −0.0884618 | + | 0.0568510i | ||||
\(898\) | −18.3200 | − | 11.7736i | −0.611347 | − | 0.392889i | ||||
\(899\) | −0.548199 | + | 3.81281i | −0.0182835 | + | 0.127164i | ||||
\(900\) | 0.297386 | + | 2.06837i | 0.00991287 | + | 0.0689455i | ||||
\(901\) | −11.2338 | + | 24.5985i | −0.374251 | + | 0.819495i | ||||
\(902\) | −15.8070 | − | 17.6875i | −0.526315 | − | 0.588931i | ||||
\(903\) | −6.19322 | − | 13.5613i | −0.206098 | − | 0.451291i | ||||
\(904\) | 38.9375 | − | 25.0236i | 1.29504 | − | 0.832273i | ||||
\(905\) | −11.3278 | − | 78.7865i | −0.376548 | − | 2.61895i | ||||
\(906\) | 6.19142 | + | 13.5573i | 0.205696 | + | 0.450412i | ||||
\(907\) | −6.72801 | − | 14.7323i | −0.223400 | − | 0.489177i | 0.764432 | − | 0.644705i | \(-0.223020\pi\) |
−0.987832 | + | 0.155527i | \(0.950292\pi\) | |||||||
\(908\) | −0.297209 | − | 0.650798i | −0.00986324 | − | 0.0215975i | ||||
\(909\) | −12.9823 | − | 28.4273i | −0.430595 | − | 0.942873i | ||||
\(910\) | −3.45064 | − | 23.9997i | −0.114388 | − | 0.795584i | ||||
\(911\) | 29.4388 | − | 18.9191i | 0.975350 | − | 0.626819i | 0.0471446 | − | 0.998888i | \(-0.484988\pi\) |
0.928205 | + | 0.372069i | \(0.121351\pi\) | |||||||
\(912\) | −0.960293 | − | 2.10275i | −0.0317985 | − | 0.0696290i | ||||
\(913\) | 2.15384 | + | 13.5084i | 0.0712817 | + | 0.447063i | ||||
\(914\) | 1.26062 | − | 2.76038i | 0.0416978 | − | 0.0913054i | ||||
\(915\) | −3.35430 | − | 23.3297i | −0.110890 | − | 0.771256i | ||||
\(916\) | −0.0620074 | + | 0.431271i | −0.00204878 | + | 0.0142496i | ||||
\(917\) | 45.9132 | + | 29.5066i | 1.51619 | + | 0.974395i | ||||
\(918\) | −12.9153 | + | 8.30015i | −0.426268 | + | 0.273946i | ||||
\(919\) | 23.4346 | − | 6.88101i | 0.773035 | − | 0.226984i | 0.128656 | − | 0.991689i | \(-0.458934\pi\) |
0.644380 | + | 0.764706i | \(0.277116\pi\) | |||||||
\(920\) | −8.68387 | + | 60.3977i | −0.286299 | + | 1.99125i | ||||
\(921\) | −1.58934 | − | 3.48016i | −0.0523705 | − | 0.114675i | ||||
\(922\) | −26.0135 | − | 16.7179i | −0.856710 | − | 0.550574i | ||||
\(923\) | 3.66631 | + | 1.07653i | 0.120678 | + | 0.0354343i | ||||
\(924\) | −0.395819 | + | 0.471189i | −0.0130215 | + | 0.0155010i | ||||
\(925\) | −56.3413 | + | 16.5433i | −1.85249 | + | 0.543940i | ||||
\(926\) | 2.18658 | + | 0.642038i | 0.0718555 | + | 0.0210987i | ||||
\(927\) | −4.19574 | + | 9.18740i | −0.137806 | + | 0.301754i | ||||
\(928\) | 0.907520 | 0.0297908 | ||||||||
\(929\) | −4.18206 | − | 4.82635i | −0.137209 | − | 0.158347i | 0.682987 | − | 0.730431i | \(-0.260681\pi\) |
−0.820195 | + | 0.572084i | \(0.806135\pi\) | |||||||
\(930\) | −0.862444 | − | 5.99843i | −0.0282807 | − | 0.196696i | ||||
\(931\) | 6.97528 | − | 8.04990i | 0.228606 | − | 0.263825i | ||||
\(932\) | −1.08933 | − | 1.25715i | −0.0356822 | − | 0.0411794i | ||||
\(933\) | 1.09013 | − | 7.58204i | 0.0356894 | − | 0.248225i | ||||
\(934\) | 15.3933 | − | 9.89265i | 0.503683 | − | 0.323698i | ||||
\(935\) | −27.3480 | − | 30.6016i | −0.894376 | − | 1.00078i | ||||
\(936\) | −5.62877 | − | 3.61739i | −0.183982 | − | 0.118238i | ||||
\(937\) | −14.0767 | + | 16.2454i | −0.459867 | + | 0.530715i | −0.937565 | − | 0.347809i | \(-0.886926\pi\) |
0.477698 | + | 0.878524i | \(0.341471\pi\) | |||||||
\(938\) | 26.0306 | − | 30.0409i | 0.849928 | − | 0.980869i | ||||
\(939\) | 11.3086 | − | 7.26758i | 0.369041 | − | 0.237168i | ||||
\(940\) | 1.23065 | − | 1.42025i | 0.0401394 | − | 0.0463233i | ||||
\(941\) | −31.5905 | −1.02982 | −0.514911 | − | 0.857244i | \(-0.672175\pi\) | ||||
−0.514911 | + | 0.857244i | \(0.672175\pi\) | |||||||
\(942\) | −3.70267 | + | 1.08720i | −0.120639 | + | 0.0354229i | ||||
\(943\) | −22.1655 | − | 14.2449i | −0.721808 | − | 0.463878i | ||||
\(944\) | −25.0981 | + | 7.36948i | −0.816875 | + | 0.239856i | ||||
\(945\) | 9.24328 | − | 64.2884i | 0.300684 | − | 2.09130i | ||||
\(946\) | −3.22434 | + | 25.1546i | −0.104832 | + | 0.817846i | ||||
\(947\) | −5.91500 | − | 41.1398i | −0.192212 | − | 1.33686i | −0.826138 | − | 0.563468i | \(-0.809467\pi\) |
0.633926 | − | 0.773394i | \(-0.281442\pi\) | |||||||
\(948\) | 0.0511486 | + | 0.112000i | 0.00166123 | + | 0.00363758i | ||||
\(949\) | −4.65377 | + | 2.99080i | −0.151068 | + | 0.0970854i | ||||
\(950\) | 6.36606 | − | 13.9397i | 0.206542 | − | 0.452264i | ||||
\(951\) | 5.37288 | + | 3.45294i | 0.174228 | + | 0.111969i | ||||
\(952\) | 5.17074 | − | 35.9633i | 0.167585 | − | 1.16558i | ||||
\(953\) | 38.3364 | + | 11.2566i | 1.24184 | + | 0.364636i | 0.835705 | − | 0.549178i | \(-0.185059\pi\) |
0.406132 | + | 0.913815i | \(0.366877\pi\) | |||||||
\(954\) | 32.3656 | + | 9.50339i | 1.04787 | + | 0.307684i | ||||
\(955\) | −16.2168 | − | 18.7152i | −0.524763 | − | 0.605608i | ||||
\(956\) | −0.762256 | − | 0.879690i | −0.0246531 | − | 0.0284512i | ||||
\(957\) | −4.28601 | + | 2.84812i | −0.138547 | + | 0.0920668i | ||||
\(958\) | −14.8699 | + | 17.1607i | −0.480424 | + | 0.554438i | ||||
\(959\) | −29.7454 | −0.960530 | ||||||||
\(960\) | 19.6482 | − | 5.76922i | 0.634142 | − | 0.186201i | ||||
\(961\) | 4.05244 | + | 28.1853i | 0.130724 | + | 0.909205i | ||||
\(962\) | −2.67398 | + | 5.85519i | −0.0862125 | + | 0.188779i | ||||
\(963\) | −42.1966 | − | 12.3900i | −1.35977 | − | 0.399263i | ||||
\(964\) | −0.223732 | − | 0.258200i | −0.00720591 | − | 0.00831606i | ||||
\(965\) | 17.1082 | 0.550731 | ||||||||
\(966\) | −8.86179 | + | 19.4046i | −0.285123 | + | 0.624333i | ||||
\(967\) | −43.1860 | −1.38877 | −0.694384 | − | 0.719605i | \(-0.744323\pi\) | ||||
−0.694384 | + | 0.719605i | \(0.744323\pi\) | |||||||
\(968\) | −29.0605 | + | 9.50881i | −0.934041 | + | 0.305625i | ||||
\(969\) | 1.67158 | 0.0536988 | ||||||||
\(970\) | 20.9576 | − | 45.8908i | 0.672909 | − | 1.47346i | ||||
\(971\) | 31.0209 | 0.995508 | 0.497754 | − | 0.867318i | \(-0.334158\pi\) | ||||
0.497754 | + | 0.867318i | \(0.334158\pi\) | |||||||
\(972\) | 0.617459 | + | 0.712585i | 0.0198050 | + | 0.0228562i | ||||
\(973\) | −8.72130 | − | 2.56080i | −0.279592 | − | 0.0820956i | ||||
\(974\) | 18.1222 | − | 39.6820i | 0.580671 | − | 1.27149i | ||||
\(975\) | 1.03136 | + | 7.17327i | 0.0330300 | + | 0.229729i | ||||
\(976\) | −35.1850 | + | 10.3312i | −1.12624 | + | 0.330695i | ||||
\(977\) | 53.7394 | 1.71928 | 0.859638 | − | 0.510904i | \(-0.170689\pi\) | ||||
0.859638 | + | 0.510904i | \(0.170689\pi\) | |||||||
\(978\) | −2.60803 | + | 3.00983i | −0.0833957 | + | 0.0962438i | ||||
\(979\) | 22.5762 | + | 14.0250i | 0.721537 | + | 0.448242i | ||||
\(980\) | −2.18799 | − | 2.52508i | −0.0698929 | − | 0.0806607i | ||||
\(981\) | −0.279633 | − | 0.322713i | −0.00892798 | − | 0.0103034i | ||||
\(982\) | 9.43302 | + | 2.76978i | 0.301020 | + | 0.0883874i | ||||
\(983\) | 31.1812 | + | 9.15563i | 0.994526 | + | 0.292019i | 0.738208 | − | 0.674573i | \(-0.235672\pi\) |
0.256318 | + | 0.966593i | \(0.417491\pi\) | |||||||
\(984\) | −1.25983 | + | 8.76229i | −0.0401618 | + | 0.279331i | ||||
\(985\) | 9.27690 | + | 5.96190i | 0.295587 | + | 0.189962i | ||||
\(986\) | −4.32105 | + | 9.46178i | −0.137610 | + | 0.301324i | ||||
\(987\) | −16.1441 | + | 10.3752i | −0.513873 | + | 0.330246i | ||||
\(988\) | −0.0223600 | − | 0.0489617i | −0.000711368 | − | 0.00155768i | ||||
\(989\) | 4.00880 | + | 27.8818i | 0.127472 | + | 0.886590i | ||||
\(990\) | −32.9284 | + | 39.1985i | −1.04653 | + | 1.24581i | ||||
\(991\) | 5.88973 | − | 40.9640i | 0.187093 | − | 1.30126i | −0.652392 | − | 0.757881i | \(-0.726235\pi\) |
0.839486 | − | 0.543382i | \(-0.182856\pi\) | |||||||
\(992\) | −0.570743 | + | 0.167585i | −0.0181211 | + | 0.00532083i | ||||
\(993\) | 1.22395 | + | 0.786587i | 0.0388410 | + | 0.0249616i | ||||
\(994\) | 24.8338 | − | 7.29186i | 0.787680 | − | 0.231284i | ||||
\(995\) | −71.7359 | −2.27418 | ||||||||
\(996\) | −0.114445 | + | 0.132077i | −0.00362633 | + | 0.00418501i | ||||
\(997\) | 20.1053 | − | 12.9209i | 0.636743 | − | 0.409210i | −0.182058 | − | 0.983288i | \(-0.558276\pi\) |
0.818800 | + | 0.574078i | \(0.194639\pi\) | |||||||
\(998\) | −16.5309 | + | 19.0776i | −0.523275 | + | 0.603892i | ||||
\(999\) | −11.2915 | + | 13.0311i | −0.357247 | + | 0.412285i |
(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 | 121.2.e.a.23.4 | ✓ | 100 | |
121.100 | even | 11 | inner | 121.2.e.a.100.4 | yes | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
121.2.e.a.23.4 | ✓ | 100 | 1.1 | even | 1 | trivial | |
121.2.e.a.100.4 | yes | 100 | 121.100 | even | 11 | inner |