Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 388.9 | ||
Character | \(\chi\) | \(=\) | 483.388 |
Dual form | 483.2.bf.a.61.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34752 | + | 1.05970i | −0.952841 | + | 0.749323i | −0.968101 | − | 0.250561i | \(-0.919385\pi\) |
0.0152597 | + | 0.999884i | \(0.495143\pi\) | |||||||
\(3\) | 0.814576 | − | 0.580057i | 0.470296 | − | 0.334896i | ||||
\(4\) | 0.221326 | − | 0.912318i | 0.110663 | − | 0.456159i | ||||
\(5\) | −1.18796 | − | 0.228961i | −0.531272 | − | 0.102394i | −0.0834414 | − | 0.996513i | \(-0.526591\pi\) |
−0.447831 | + | 0.894118i | \(0.647803\pi\) | |||||||
\(6\) | −0.482971 | + | 1.64485i | −0.197172 | + | 0.671506i | ||||
\(7\) | 0.252104 | − | 2.63371i | 0.0952863 | − | 0.995450i | ||||
\(8\) | −0.755737 | − | 1.65483i | −0.267193 | − | 0.585072i | ||||
\(9\) | 0.327068 | − | 0.945001i | 0.109023 | − | 0.315000i | ||||
\(10\) | 1.84343 | − | 0.950355i | 0.582944 | − | 0.300529i | ||||
\(11\) | −2.19945 | + | 2.79683i | −0.663160 | + | 0.843277i | −0.994981 | − | 0.100066i | \(-0.968095\pi\) |
0.331821 | + | 0.943342i | \(0.392337\pi\) | |||||||
\(12\) | −0.348910 | − | 0.871534i | −0.100722 | − | 0.251590i | ||||
\(13\) | −3.01057 | + | 4.68454i | −0.834982 | + | 1.29926i | 0.117008 | + | 0.993131i | \(0.462670\pi\) |
−0.951991 | + | 0.306127i | \(0.900967\pi\) | |||||||
\(14\) | 2.45124 | + | 3.81614i | 0.655120 | + | 1.01991i | ||||
\(15\) | −1.10049 | + | 0.502579i | −0.284146 | + | 0.129765i | ||||
\(16\) | 4.44085 | + | 2.28942i | 1.11021 | + | 0.572354i | ||||
\(17\) | −4.10833 | + | 3.91728i | −0.996416 | + | 0.950080i | −0.998753 | − | 0.0499168i | \(-0.984104\pi\) |
0.00233765 | + | 0.999997i | \(0.499256\pi\) | |||||||
\(18\) | 0.560688 | + | 1.62000i | 0.132156 | + | 0.381838i | ||||
\(19\) | 5.09250 | + | 4.85569i | 1.16830 | + | 1.11397i | 0.991551 | + | 0.129715i | \(0.0414061\pi\) |
0.176748 | + | 0.984256i | \(0.443442\pi\) | |||||||
\(20\) | −0.471812 | + | 1.03312i | −0.105500 | + | 0.231013i | ||||
\(21\) | −1.32235 | − | 2.29159i | −0.288559 | − | 0.500067i | ||||
\(22\) | − | 6.09955i | − | 1.30043i | ||||||
\(23\) | −1.33516 | + | 4.60623i | −0.278399 | + | 0.960465i | ||||
\(24\) | −1.57550 | − | 0.909617i | −0.321598 | − | 0.185675i | ||||
\(25\) | −3.28301 | − | 1.31432i | −0.656602 | − | 0.262864i | ||||
\(26\) | −0.907410 | − | 9.50283i | −0.177958 | − | 1.86366i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | −2.34699 | − | 0.812908i | −0.443539 | − | 0.153625i | ||||
\(29\) | 1.64016 | + | 0.481594i | 0.304570 | + | 0.0894298i | 0.430446 | − | 0.902616i | \(-0.358356\pi\) |
−0.125877 | + | 0.992046i | \(0.540174\pi\) | |||||||
\(30\) | 0.950355 | − | 1.84343i | 0.173510 | − | 0.336563i | ||||
\(31\) | −0.0541600 | + | 0.567190i | −0.00972743 | + | 0.101870i | −0.999032 | − | 0.0439964i | \(-0.985991\pi\) |
0.989304 | + | 0.145867i | \(0.0465970\pi\) | |||||||
\(32\) | −4.83751 | + | 0.932354i | −0.855160 | + | 0.164819i | ||||
\(33\) | −0.169300 | + | 3.55404i | −0.0294713 | + | 0.618679i | ||||
\(34\) | 1.38490 | − | 9.63222i | 0.237509 | − | 1.65191i | ||||
\(35\) | −0.902506 | + | 3.07103i | −0.152551 | + | 0.519098i | ||||
\(36\) | −0.789753 | − | 0.507543i | −0.131625 | − | 0.0845906i | ||||
\(37\) | 0.0333173 | + | 0.0115312i | 0.00547733 | + | 0.00189572i | 0.329805 | − | 0.944049i | \(-0.393017\pi\) |
−0.324328 | + | 0.945945i | \(0.605138\pi\) | |||||||
\(38\) | −12.0078 | − | 1.14661i | −1.94793 | − | 0.186004i | ||||
\(39\) | 0.264961 | + | 5.56222i | 0.0424277 | + | 0.890668i | ||||
\(40\) | 0.518894 | + | 2.13891i | 0.0820444 | + | 0.338192i | ||||
\(41\) | 3.96851 | + | 3.43874i | 0.619778 | + | 0.537040i | 0.907166 | − | 0.420774i | \(-0.138241\pi\) |
−0.287388 | + | 0.957814i | \(0.592787\pi\) | |||||||
\(42\) | 4.21030 | + | 1.68668i | 0.649663 | + | 0.260260i | ||||
\(43\) | 1.02326 | + | 0.467307i | 0.156046 | + | 0.0712636i | 0.491907 | − | 0.870648i | \(-0.336300\pi\) |
−0.335861 | + | 0.941911i | \(0.609027\pi\) | |||||||
\(44\) | 2.06480 | + | 2.62561i | 0.311281 | + | 0.395826i | ||||
\(45\) | −0.604912 | + | 1.04774i | −0.0901749 | + | 0.156188i | ||||
\(46\) | −3.08208 | − | 7.62186i | −0.454428 | − | 1.12378i | ||||
\(47\) | −2.39693 | + | 1.38387i | −0.349627 | + | 0.201858i | −0.664521 | − | 0.747269i | \(-0.731364\pi\) |
0.314894 | + | 0.949127i | \(0.398031\pi\) | |||||||
\(48\) | 4.94540 | − | 0.711041i | 0.713807 | − | 0.102630i | ||||
\(49\) | −6.87289 | − | 1.32794i | −0.981841 | − | 0.189705i | ||||
\(50\) | 5.81672 | − | 1.70794i | 0.822608 | − | 0.241539i | ||||
\(51\) | −1.07430 | + | 5.57399i | −0.150432 | + | 0.780514i | ||||
\(52\) | 3.60747 | + | 3.78341i | 0.500267 | + | 0.524665i | ||||
\(53\) | −9.31389 | + | 0.443675i | −1.27936 | + | 0.0609435i | −0.676225 | − | 0.736695i | \(-0.736385\pi\) |
−0.603136 | + | 0.797638i | \(0.706082\pi\) | |||||||
\(54\) | 1.39642 | + | 0.994384i | 0.190028 | + | 0.135319i | ||||
\(55\) | 3.25323 | − | 2.81894i | 0.438665 | − | 0.380106i | ||||
\(56\) | −4.54888 | + | 1.57320i | −0.607870 | + | 0.210228i | ||||
\(57\) | 6.96480 | + | 1.00139i | 0.922510 | + | 0.132637i | ||||
\(58\) | −2.72050 | + | 1.08912i | −0.357219 | + | 0.143009i | ||||
\(59\) | −3.53820 | − | 6.86314i | −0.460634 | − | 0.893505i | −0.998718 | − | 0.0506140i | \(-0.983882\pi\) |
0.538085 | − | 0.842891i | \(-0.319148\pi\) | |||||||
\(60\) | 0.214944 | + | 1.11523i | 0.0277491 | + | 0.143976i | ||||
\(61\) | 8.72067 | − | 12.2465i | 1.11657 | − | 1.56800i | 0.337198 | − | 0.941434i | \(-0.390521\pi\) |
0.779369 | − | 0.626566i | \(-0.215540\pi\) | |||||||
\(62\) | −0.528070 | − | 0.821693i | −0.0670650 | − | 0.104355i | ||||
\(63\) | −2.40641 | − | 1.09964i | −0.303179 | − | 0.138542i | ||||
\(64\) | −1.01307 | + | 1.16914i | −0.126633 | + | 0.146142i | ||||
\(65\) | 4.64902 | − | 4.87575i | 0.576639 | − | 0.604762i | ||||
\(66\) | −3.53809 | − | 4.96855i | −0.435509 | − | 0.611586i | ||||
\(67\) | −2.47123 | + | 6.17284i | −0.301909 | + | 0.754133i | 0.697390 | + | 0.716692i | \(0.254345\pi\) |
−0.999299 | + | 0.0374406i | \(0.988080\pi\) | |||||||
\(68\) | 2.66453 | + | 4.61510i | 0.323122 | + | 0.559663i | ||||
\(69\) | 1.58429 | + | 4.52659i | 0.190726 | + | 0.544938i | ||||
\(70\) | −2.03823 | − | 5.09466i | −0.243615 | − | 0.608928i | ||||
\(71\) | 0.277132 | + | 1.92749i | 0.0328895 | + | 0.228751i | 0.999636 | − | 0.0269859i | \(-0.00859093\pi\) |
−0.966746 | + | 0.255737i | \(0.917682\pi\) | |||||||
\(72\) | −1.81100 | + | 0.172929i | −0.213428 | + | 0.0203799i | ||||
\(73\) | −2.50845 | − | 0.608543i | −0.293591 | − | 0.0712245i | 0.0862580 | − | 0.996273i | \(-0.472509\pi\) |
−0.379849 | + | 0.925048i | \(0.624024\pi\) | |||||||
\(74\) | −0.0571154 | + | 0.0197678i | −0.00663953 | + | 0.00229796i | ||||
\(75\) | −3.43664 | + | 0.833721i | −0.396829 | + | 0.0962698i | ||||
\(76\) | 5.55703 | − | 3.57129i | 0.637435 | − | 0.409655i | ||||
\(77\) | 6.81156 | + | 6.49782i | 0.776250 | + | 0.740495i | ||||
\(78\) | −6.25133 | − | 7.21442i | −0.707824 | − | 0.816873i | ||||
\(79\) | −11.3775 | − | 0.541978i | −1.28007 | − | 0.0609773i | −0.603505 | − | 0.797359i | \(-0.706230\pi\) |
−0.676566 | + | 0.736382i | \(0.736533\pi\) | |||||||
\(80\) | −4.75136 | − | 3.73651i | −0.531219 | − | 0.417755i | ||||
\(81\) | −0.786053 | − | 0.618159i | −0.0873392 | − | 0.0686843i | ||||
\(82\) | −8.99169 | − | 0.428327i | −0.992966 | − | 0.0473008i | ||||
\(83\) | −2.67688 | − | 3.08929i | −0.293826 | − | 0.339093i | 0.589573 | − | 0.807715i | \(-0.299296\pi\) |
−0.883399 | + | 0.468622i | \(0.844751\pi\) | |||||||
\(84\) | −2.38333 | + | 0.699211i | −0.260043 | + | 0.0762901i | ||||
\(85\) | 5.77743 | − | 3.71293i | 0.626651 | − | 0.402724i | ||||
\(86\) | −1.87407 | + | 0.454644i | −0.202086 | + | 0.0490255i | ||||
\(87\) | 1.61539 | − | 0.559091i | 0.173188 | − | 0.0599408i | ||||
\(88\) | 6.29050 | + | 1.52606i | 0.670570 | + | 0.162678i | ||||
\(89\) | 5.86851 | − | 0.560375i | 0.622061 | − | 0.0593997i | 0.220734 | − | 0.975334i | \(-0.429155\pi\) |
0.401328 | + | 0.915934i | \(0.368549\pi\) | |||||||
\(90\) | −0.295159 | − | 2.05288i | −0.0311125 | − | 0.216392i | ||||
\(91\) | 11.5788 | + | 9.10997i | 1.21378 | + | 0.954985i | ||||
\(92\) | 3.90684 | + | 2.23757i | 0.407317 | + | 0.233282i | ||||
\(93\) | 0.284885 | + | 0.493435i | 0.0295412 | + | 0.0511668i | ||||
\(94\) | 1.76342 | − | 4.40481i | 0.181883 | − | 0.454322i | ||||
\(95\) | −4.93792 | − | 6.93434i | −0.506620 | − | 0.711449i | ||||
\(96\) | −3.39970 | + | 3.56551i | −0.346981 | + | 0.363903i | ||||
\(97\) | −4.96801 | + | 5.73339i | −0.504425 | + | 0.582138i | −0.949662 | − | 0.313275i | \(-0.898574\pi\) |
0.445237 | + | 0.895413i | \(0.353119\pi\) | |||||||
\(98\) | 10.6686 | − | 5.49379i | 1.07769 | − | 0.554956i | ||||
\(99\) | 1.92364 | + | 2.99324i | 0.193333 | + | 0.300832i | ||||
\(100\) | −1.92569 | + | 2.70426i | −0.192569 | + | 0.270426i | ||||
\(101\) | −1.92046 | − | 9.96429i | −0.191093 | − | 0.991484i | −0.943145 | − | 0.332381i | \(-0.892148\pi\) |
0.752052 | − | 0.659103i | \(-0.229064\pi\) | |||||||
\(102\) | −4.45913 | − | 8.64950i | −0.441519 | − | 0.856428i | ||||
\(103\) | 11.3733 | − | 4.55318i | 1.12064 | − | 0.448638i | 0.263988 | − | 0.964526i | \(-0.414962\pi\) |
0.856656 | + | 0.515887i | \(0.172538\pi\) | |||||||
\(104\) | 10.0273 | + | 1.44171i | 0.983261 | + | 0.141372i | ||||
\(105\) | 1.04621 | + | 3.02509i | 0.102100 | + | 0.295218i | ||||
\(106\) | 12.0805 | − | 10.4678i | 1.17336 | − | 1.01672i | ||||
\(107\) | 9.90740 | + | 7.05503i | 0.957785 | + | 0.682035i | 0.948118 | − | 0.317918i | \(-0.102984\pi\) |
0.00966637 | + | 0.999953i | \(0.496923\pi\) | |||||||
\(108\) | −0.937718 | + | 0.0446690i | −0.0902319 | + | 0.00429828i | ||||
\(109\) | −0.802267 | − | 0.841393i | −0.0768432 | − | 0.0805908i | 0.684190 | − | 0.729304i | \(-0.260156\pi\) |
−0.761033 | + | 0.648713i | \(0.775308\pi\) | |||||||
\(110\) | −1.39656 | + | 7.24603i | −0.133157 | + | 0.690882i | ||||
\(111\) | 0.0338282 | − | 0.00993286i | 0.00321083 | − | 0.000942786i | ||||
\(112\) | 7.14922 | − | 11.1187i | 0.675538 | − | 1.05062i | ||||
\(113\) | −6.74162 | + | 0.969299i | −0.634199 | + | 0.0911840i | −0.451914 | − | 0.892062i | \(-0.649258\pi\) |
−0.182285 | + | 0.983246i | \(0.558349\pi\) | |||||||
\(114\) | −10.4464 | + | 6.03122i | −0.978394 | + | 0.564876i | ||||
\(115\) | 2.64076 | − | 5.16632i | 0.246252 | − | 0.481762i | ||||
\(116\) | 0.802377 | − | 1.38976i | 0.0744988 | − | 0.129036i | ||||
\(117\) | 3.44223 | + | 4.37716i | 0.318235 | + | 0.404668i | ||||
\(118\) | 12.0407 | + | 5.49879i | 1.10843 | + | 0.506205i | ||||
\(119\) | 9.28127 | + | 11.8077i | 0.850813 | + | 1.08241i | ||||
\(120\) | 1.66337 | + | 1.44132i | 0.151844 | + | 0.131574i | ||||
\(121\) | −0.391328 | − | 1.61308i | −0.0355753 | − | 0.146643i | ||||
\(122\) | 1.22632 | + | 25.7437i | 0.111026 | + | 2.33072i | ||||
\(123\) | 5.22732 | + | 0.499148i | 0.471331 | + | 0.0450067i | ||||
\(124\) | 0.505470 | + | 0.174945i | 0.0453926 | + | 0.0157105i | ||||
\(125\) | 8.68800 | + | 5.58344i | 0.777079 | + | 0.499398i | ||||
\(126\) | 4.40797 | − | 1.06828i | 0.392694 | − | 0.0951703i | ||||
\(127\) | −0.855482 | + | 5.95001i | −0.0759117 | + | 0.527978i | 0.916013 | + | 0.401149i | \(0.131389\pi\) |
−0.991925 | + | 0.126829i | \(0.959520\pi\) | |||||||
\(128\) | 0.595016 | − | 12.4909i | 0.0525924 | − | 1.10405i | ||||
\(129\) | 1.10459 | − | 0.212892i | 0.0972534 | − | 0.0187441i | ||||
\(130\) | −1.09781 | + | 11.4967i | −0.0962839 | + | 1.00833i | ||||
\(131\) | 2.77462 | − | 5.38201i | 0.242420 | − | 0.470229i | −0.735966 | − | 0.677019i | \(-0.763271\pi\) |
0.978385 | + | 0.206790i | \(0.0663018\pi\) | |||||||
\(132\) | 3.20495 | + | 0.941057i | 0.278955 | + | 0.0819085i | ||||
\(133\) | 14.0723 | − | 12.1880i | 1.22023 | − | 1.05684i | ||||
\(134\) | −3.21134 | − | 10.9368i | −0.277417 | − | 0.944796i | ||||
\(135\) | 0.115001 | + | 1.20435i | 0.00989771 | + | 0.103654i | ||||
\(136\) | 9.58727 | + | 3.83816i | 0.822101 | + | 0.329120i | ||||
\(137\) | 18.0690 | + | 10.4322i | 1.54374 | + | 0.891279i | 0.998598 | + | 0.0529366i | \(0.0168581\pi\) |
0.545143 | + | 0.838343i | \(0.316475\pi\) | |||||||
\(138\) | −6.93170 | − | 4.42080i | −0.590066 | − | 0.376324i | ||||
\(139\) | − | 2.68557i | − | 0.227787i | −0.993493 | − | 0.113894i | \(-0.963668\pi\) | ||
0.993493 | − | 0.113894i | \(-0.0363323\pi\) | |||||||
\(140\) | 2.60200 | + | 1.50307i | 0.219909 | + | 0.127033i | ||||
\(141\) | −1.14976 | + | 2.51762i | −0.0968270 | + | 0.212022i | ||||
\(142\) | −2.41601 | − | 2.30366i | −0.202747 | − | 0.193319i | ||||
\(143\) | −6.48026 | − | 18.7235i | −0.541907 | − | 1.56574i | ||||
\(144\) | 3.61596 | − | 3.44781i | 0.301330 | − | 0.287317i | ||||
\(145\) | −1.83818 | − | 0.947647i | −0.152652 | − | 0.0786978i | ||||
\(146\) | 4.02506 | − | 1.83818i | 0.333116 | − | 0.152129i | ||||
\(147\) | −6.36877 | + | 2.90496i | −0.525287 | + | 0.239597i | ||||
\(148\) | 0.0178941 | − | 0.0278438i | 0.00147089 | − | 0.00228875i | ||||
\(149\) | 4.14288 | + | 10.3484i | 0.339398 | + | 0.847776i | 0.995645 | + | 0.0932292i | \(0.0297189\pi\) |
−0.656246 | + | 0.754547i | \(0.727857\pi\) | |||||||
\(150\) | 3.74745 | − | 4.76527i | 0.305978 | − | 0.389083i | ||||
\(151\) | −18.6685 | + | 9.62430i | −1.51922 | + | 0.783214i | −0.997552 | − | 0.0699315i | \(-0.977722\pi\) |
−0.521672 | + | 0.853146i | \(0.674692\pi\) | |||||||
\(152\) | 4.18676 | − | 12.0969i | 0.339591 | − | 0.981185i | ||||
\(153\) | 2.35813 | + | 5.16359i | 0.190644 | + | 0.417452i | ||||
\(154\) | −16.0645 | − | 1.53772i | −1.29451 | − | 0.123913i | ||||
\(155\) | 0.194204 | − | 0.661398i | 0.0155988 | − | 0.0531248i | ||||
\(156\) | 5.13316 | + | 0.989335i | 0.410981 | + | 0.0792102i | ||||
\(157\) | −3.96516 | + | 16.3446i | −0.316454 | + | 1.30444i | 0.562208 | + | 0.826996i | \(0.309952\pi\) |
−0.878662 | + | 0.477445i | \(0.841563\pi\) | |||||||
\(158\) | 15.9058 | − | 11.3265i | 1.26540 | − | 0.901084i | ||||
\(159\) | −7.32951 | + | 5.76399i | −0.581268 | + | 0.457114i | ||||
\(160\) | 5.96025 | 0.471199 | ||||||||
\(161\) | 11.7949 | + | 4.67767i | 0.929568 | + | 0.368652i | ||||
\(162\) | 1.71429 | 0.134687 | ||||||||
\(163\) | −18.7994 | + | 14.7840i | −1.47248 | + | 1.15797i | −0.519687 | + | 0.854357i | \(0.673951\pi\) |
−0.952795 | + | 0.303615i | \(0.901806\pi\) | |||||||
\(164\) | 4.01556 | − | 2.85946i | 0.313562 | − | 0.223287i | ||||
\(165\) | 1.01486 | − | 4.18330i | 0.0790065 | − | 0.325669i | ||||
\(166\) | 6.88088 | + | 1.32618i | 0.534060 | + | 0.102932i | ||||
\(167\) | 5.72316 | − | 19.4913i | 0.442871 | − | 1.50828i | −0.371775 | − | 0.928323i | \(-0.621251\pi\) |
0.814646 | − | 0.579958i | \(-0.196931\pi\) | |||||||
\(168\) | −2.79286 | + | 3.92010i | −0.215474 | + | 0.302443i | ||||
\(169\) | −7.48099 | − | 16.3811i | −0.575461 | − | 1.26008i | ||||
\(170\) | −3.85061 | + | 11.1256i | −0.295328 | + | 0.853295i | ||||
\(171\) | 6.25422 | − | 3.22427i | 0.478272 | − | 0.246566i | ||||
\(172\) | 0.652806 | − | 0.830111i | 0.0497760 | − | 0.0632953i | ||||
\(173\) | −7.28742 | − | 18.2031i | −0.554052 | − | 1.38396i | −0.895923 | − | 0.444209i | \(-0.853485\pi\) |
0.341871 | − | 0.939747i | \(-0.388939\pi\) | |||||||
\(174\) | −1.58430 | + | 2.46521i | −0.120105 | + | 0.186887i | ||||
\(175\) | −4.28920 | + | 8.31517i | −0.324233 | + | 0.628568i | ||||
\(176\) | −16.1705 | + | 7.38484i | −1.21890 | + | 0.556653i | ||||
\(177\) | −6.86314 | − | 3.53820i | −0.515865 | − | 0.265947i | ||||
\(178\) | −7.31412 | + | 6.97399i | −0.548216 | + | 0.522723i | ||||
\(179\) | 4.78012 | + | 13.8112i | 0.357283 | + | 1.03230i | 0.970232 | + | 0.242178i | \(0.0778618\pi\) |
−0.612949 | + | 0.790122i | \(0.710017\pi\) | |||||||
\(180\) | 0.821988 | + | 0.783764i | 0.0612674 | + | 0.0584183i | ||||
\(181\) | 2.65879 | − | 5.82195i | 0.197627 | − | 0.432742i | −0.784710 | − | 0.619863i | \(-0.787188\pi\) |
0.982337 | + | 0.187121i | \(0.0599156\pi\) | |||||||
\(182\) | −25.2565 | − | 0.00584206i | −1.87213 | − | 0.000433042i | ||||
\(183\) | − | 15.0342i | − | 1.11136i | ||||||
\(184\) | 8.63157 | − | 1.27164i | 0.636328 | − | 0.0937463i | ||||
\(185\) | −0.0369394 | − | 0.0213270i | −0.00271584 | − | 0.00156799i | ||||
\(186\) | −0.906782 | − | 0.363021i | −0.0664885 | − | 0.0266180i | ||||
\(187\) | −1.91991 | − | 20.1062i | −0.140398 | − | 1.47031i | ||||
\(188\) | 0.732024 | + | 2.49304i | 0.0533883 | + | 0.181824i | ||||
\(189\) | −2.59805 | + | 0.500111i | −0.188981 | + | 0.0363777i | ||||
\(190\) | 14.0023 | + | 4.11145i | 1.01583 | + | 0.298276i | ||||
\(191\) | 7.30936 | − | 14.1782i | 0.528887 | − | 1.02590i | −0.461444 | − | 0.887170i | \(-0.652668\pi\) |
0.990331 | − | 0.138728i | \(-0.0443013\pi\) | |||||||
\(192\) | −0.147051 | + | 1.53999i | −0.0106125 | + | 0.111139i | ||||
\(193\) | −16.4046 | + | 3.16173i | −1.18083 | + | 0.227587i | −0.741634 | − | 0.670804i | \(-0.765949\pi\) |
−0.439197 | + | 0.898391i | \(0.644737\pi\) | |||||||
\(194\) | 0.618813 | − | 12.9905i | 0.0444282 | − | 0.932662i | ||||
\(195\) | 0.958765 | − | 6.66836i | 0.0686586 | − | 0.477531i | ||||
\(196\) | −2.73265 | + | 5.97635i | −0.195189 | + | 0.426882i | ||||
\(197\) | 0.186817 | + | 0.120060i | 0.0133102 | + | 0.00855393i | 0.547279 | − | 0.836950i | \(-0.315664\pi\) |
−0.533969 | + | 0.845504i | \(0.679300\pi\) | |||||||
\(198\) | −5.76408 | − | 1.99497i | −0.409636 | − | 0.141776i | ||||
\(199\) | −11.8937 | − | 1.13571i | −0.843123 | − | 0.0805085i | −0.335450 | − | 0.942058i | \(-0.608888\pi\) |
−0.507673 | + | 0.861550i | \(0.669494\pi\) | |||||||
\(200\) | 0.306114 | + | 6.42612i | 0.0216455 | + | 0.454395i | ||||
\(201\) | 1.56759 | + | 6.46171i | 0.110569 | + | 0.455774i | ||||
\(202\) | 13.1470 | + | 11.3920i | 0.925022 | + | 0.801536i | ||||
\(203\) | 1.68187 | − | 4.19830i | 0.118044 | − | 0.294663i | ||||
\(204\) | 4.84748 | + | 2.21377i | 0.339392 | + | 0.154995i | ||||
\(205\) | −3.92710 | − | 4.99372i | −0.274281 | − | 0.348776i | ||||
\(206\) | −10.5007 | + | 18.1878i | −0.731621 | + | 1.26721i | ||||
\(207\) | 3.91620 | + | 2.76827i | 0.272195 | + | 0.192408i | ||||
\(208\) | −24.0943 | + | 13.9109i | −1.67064 | + | 0.964546i | ||||
\(209\) | −24.7812 | + | 3.56301i | −1.71415 | + | 0.246458i | ||||
\(210\) | −4.61548 | − | 2.96770i | −0.318498 | − | 0.204791i | ||||
\(211\) | 18.5058 | − | 5.43378i | 1.27399 | − | 0.374077i | 0.426305 | − | 0.904579i | \(-0.359815\pi\) |
0.847683 | + | 0.530502i | \(0.177997\pi\) | |||||||
\(212\) | −1.65663 | + | 8.59543i | −0.113778 | + | 0.590336i | ||||
\(213\) | 1.34380 | + | 1.40934i | 0.0920756 | + | 0.0965662i | ||||
\(214\) | −20.8267 | + | 0.992096i | −1.42368 | + | 0.0678183i | ||||
\(215\) | −1.10860 | − | 0.789428i | −0.0756056 | − | 0.0538385i | ||||
\(216\) | −1.37489 | + | 1.19135i | −0.0935491 | + | 0.0810608i | ||||
\(217\) | 1.48016 | + | 0.285633i | 0.100480 | + | 0.0193900i | ||||
\(218\) | 1.97270 | + | 0.283631i | 0.133608 | + | 0.0192099i | ||||
\(219\) | −2.39631 | + | 0.959338i | −0.161928 | + | 0.0648260i | ||||
\(220\) | −1.85174 | − | 3.59188i | −0.124845 | − | 0.242165i | ||||
\(221\) | −5.98226 | − | 31.0389i | −0.402410 | − | 2.08790i | ||||
\(222\) | −0.0350584 | + | 0.0492326i | −0.00235296 | + | 0.00330427i | ||||
\(223\) | −2.21575 | − | 3.44777i | −0.148377 | − | 0.230880i | 0.759107 | − | 0.650966i | \(-0.225636\pi\) |
−0.907484 | + | 0.420086i | \(0.862000\pi\) | |||||||
\(224\) | 1.23600 | + | 12.9757i | 0.0825836 | + | 0.866974i | ||||
\(225\) | −2.31580 | + | 2.67258i | −0.154387 | + | 0.178172i | ||||
\(226\) | 8.05731 | − | 8.45026i | 0.535964 | − | 0.562103i | ||||
\(227\) | −6.01054 | − | 8.44063i | −0.398934 | − | 0.560224i | 0.565433 | − | 0.824794i | \(-0.308709\pi\) |
−0.964366 | + | 0.264570i | \(0.914770\pi\) | |||||||
\(228\) | 2.45508 | − | 6.13248i | 0.162591 | − | 0.406133i | ||||
\(229\) | 13.2674 | + | 22.9799i | 0.876736 | + | 1.51855i | 0.854902 | + | 0.518790i | \(0.173617\pi\) |
0.0218343 | + | 0.999762i | \(0.493049\pi\) | |||||||
\(230\) | 1.91628 | + | 9.76014i | 0.126356 | + | 0.643565i | ||||
\(231\) | 9.31764 | + | 1.34187i | 0.613056 | + | 0.0882889i | ||||
\(232\) | −0.442571 | − | 3.07815i | −0.0290562 | − | 0.202090i | ||||
\(233\) | −23.1464 | + | 2.21021i | −1.51637 | + | 0.144796i | −0.819783 | − | 0.572674i | \(-0.805906\pi\) |
−0.696589 | + | 0.717470i | \(0.745300\pi\) | |||||||
\(234\) | −9.27696 | − | 2.25057i | −0.606454 | − | 0.147124i | ||||
\(235\) | 3.16430 | − | 1.09518i | 0.206416 | − | 0.0714414i | ||||
\(236\) | −7.04446 | + | 1.70897i | −0.458556 | + | 0.111244i | ||||
\(237\) | −9.58223 | + | 6.15813i | −0.622433 | + | 0.400013i | ||||
\(238\) | −25.0194 | − | 6.07576i | −1.62176 | − | 0.393833i | ||||
\(239\) | −0.0839309 | − | 0.0968614i | −0.00542904 | − | 0.00626545i | 0.753029 | − | 0.657988i | \(-0.228592\pi\) |
−0.758458 | + | 0.651722i | \(0.774047\pi\) | |||||||
\(240\) | −6.03774 | − | 0.287613i | −0.389734 | − | 0.0185653i | ||||
\(241\) | 10.1320 | + | 7.96792i | 0.652661 | + | 0.513259i | 0.888702 | − | 0.458484i | \(-0.151608\pi\) |
−0.236041 | + | 0.971743i | \(0.575850\pi\) | |||||||
\(242\) | 2.23670 | + | 1.75896i | 0.143781 | + | 0.113070i | ||||
\(243\) | −0.998867 | − | 0.0475819i | −0.0640774 | − | 0.00305238i | ||||
\(244\) | −9.24256 | − | 10.6665i | −0.591694 | − | 0.682852i | ||||
\(245\) | 7.86067 | + | 3.15116i | 0.502200 | + | 0.201320i | ||||
\(246\) | −7.57287 | + | 4.86679i | −0.482828 | + | 0.310295i | ||||
\(247\) | −38.0780 | + | 9.23762i | −2.42284 | + | 0.587776i | ||||
\(248\) | 0.979535 | − | 0.339020i | 0.0622005 | − | 0.0215278i | ||||
\(249\) | −3.97249 | − | 0.963715i | −0.251746 | − | 0.0610729i | ||||
\(250\) | −17.6241 | + | 1.68289i | −1.11464 | + | 0.106435i | ||||
\(251\) | 3.16064 | + | 21.9827i | 0.199498 | + | 1.38754i | 0.805745 | + | 0.592262i | \(0.201765\pi\) |
−0.606247 | + | 0.795276i | \(0.707326\pi\) | |||||||
\(252\) | −1.53582 | + | 1.95203i | −0.0967478 | + | 0.122966i | ||||
\(253\) | −9.94624 | − | 13.8654i | −0.625315 | − | 0.871710i | ||||
\(254\) | −5.15245 | − | 8.92431i | −0.323294 | − | 0.559961i | ||||
\(255\) | 2.55245 | − | 6.37571i | 0.159840 | − | 0.399262i | ||||
\(256\) | 10.6402 | + | 14.9420i | 0.665010 | + | 0.933876i | ||||
\(257\) | 7.79986 | − | 8.18026i | 0.486542 | − | 0.510270i | −0.434001 | − | 0.900912i | \(-0.642899\pi\) |
0.920543 | + | 0.390642i | \(0.127747\pi\) | |||||||
\(258\) | −1.26285 | + | 1.45741i | −0.0786217 | + | 0.0907343i | ||||
\(259\) | 0.0387694 | − | 0.0848411i | 0.00240901 | − | 0.00527177i | ||||
\(260\) | −3.41929 | − | 5.32051i | −0.212055 | − | 0.329964i | ||||
\(261\) | 0.991550 | − | 1.39244i | 0.0613754 | − | 0.0861897i | ||||
\(262\) | 1.96447 | + | 10.1926i | 0.121365 | + | 0.629704i | ||||
\(263\) | −1.79855 | − | 3.48870i | −0.110903 | − | 0.215123i | 0.826852 | − | 0.562420i | \(-0.190130\pi\) |
−0.937755 | + | 0.347298i | \(0.887099\pi\) | |||||||
\(264\) | 6.00929 | − | 2.40576i | 0.369846 | − | 0.148064i | ||||
\(265\) | 11.1661 | + | 1.60545i | 0.685929 | + | 0.0986217i | ||||
\(266\) | −6.04706 | + | 31.3361i | −0.370769 | + | 1.92134i | ||||
\(267\) | 4.45530 | − | 3.86054i | 0.272660 | − | 0.236261i | ||||
\(268\) | 5.08465 | + | 3.62076i | 0.310594 | + | 0.221173i | ||||
\(269\) | 17.9041 | − | 0.852875i | 1.09163 | − | 0.0520007i | 0.505965 | − | 0.862554i | \(-0.331137\pi\) |
0.585665 | + | 0.810553i | \(0.300833\pi\) | |||||||
\(270\) | −1.43121 | − | 1.50101i | −0.0871009 | − | 0.0913488i | ||||
\(271\) | −5.67271 | + | 29.4328i | −0.344592 | + | 1.78792i | 0.233934 | + | 0.972252i | \(0.424840\pi\) |
−0.578527 | + | 0.815663i | \(0.696372\pi\) | |||||||
\(272\) | −27.2127 | + | 7.99038i | −1.65001 | + | 0.484488i | ||||
\(273\) | 14.7161 | + | 0.704425i | 0.890658 | + | 0.0426337i | ||||
\(274\) | −35.4034 | + | 5.09024i | −2.13880 | + | 0.307512i | ||||
\(275\) | 10.8968 | − | 6.29125i | 0.657100 | − | 0.379377i | ||||
\(276\) | 4.48034 | − | 0.443523i | 0.269685 | − | 0.0266970i | ||||
\(277\) | 15.3942 | − | 26.6636i | 0.924948 | − | 1.60206i | 0.133304 | − | 0.991075i | \(-0.457441\pi\) |
0.791644 | − | 0.610982i | \(-0.209225\pi\) | |||||||
\(278\) | 2.84591 | + | 3.61887i | 0.170686 | + | 0.217045i | ||||
\(279\) | 0.518281 | + | 0.236691i | 0.0310286 | + | 0.0141703i | ||||
\(280\) | 5.76409 | − | 0.827391i | 0.344470 | − | 0.0494460i | ||||
\(281\) | 9.84835 | + | 8.53364i | 0.587503 | + | 0.509074i | 0.897120 | − | 0.441787i | \(-0.145655\pi\) |
−0.309617 | + | 0.950861i | \(0.600201\pi\) | |||||||
\(282\) | −1.11860 | − | 4.61094i | −0.0666118 | − | 0.274578i | ||||
\(283\) | −0.406332 | − | 8.52995i | −0.0241539 | − | 0.507053i | −0.978234 | − | 0.207503i | \(-0.933466\pi\) |
0.954081 | − | 0.299550i | \(-0.0968366\pi\) | |||||||
\(284\) | 1.81982 | + | 0.173772i | 0.107987 | + | 0.0103115i | ||||
\(285\) | −8.04463 | − | 2.78427i | −0.476523 | − | 0.164926i | ||||
\(286\) | 28.5736 | + | 18.3631i | 1.68959 | + | 1.08584i | ||||
\(287\) | 10.0571 | − | 9.58500i | 0.593653 | − | 0.565785i | ||||
\(288\) | −0.701120 | + | 4.87640i | −0.0413139 | + | 0.287345i | ||||
\(289\) | 0.724361 | − | 15.2062i | 0.0426095 | − | 0.894483i | ||||
\(290\) | 3.48121 | − | 0.670948i | 0.204424 | − | 0.0393994i | ||||
\(291\) | −0.721130 | + | 7.55201i | −0.0422734 | + | 0.442707i | ||||
\(292\) | −1.11037 | + | 2.15382i | −0.0649794 | + | 0.126043i | ||||
\(293\) | 17.0118 | + | 4.99512i | 0.993841 | + | 0.291818i | 0.737926 | − | 0.674881i | \(-0.235805\pi\) |
0.255915 | + | 0.966699i | \(0.417623\pi\) | |||||||
\(294\) | 5.50366 | − | 10.6635i | 0.320980 | − | 0.621907i | ||||
\(295\) | 2.63185 | + | 8.96325i | 0.153232 | + | 0.521860i | ||||
\(296\) | −0.00609685 | − | 0.0638491i | −0.000354372 | − | 0.00371116i | ||||
\(297\) | 3.30320 | + | 1.32240i | 0.191671 | + | 0.0767335i | ||||
\(298\) | −16.5489 | − | 9.55449i | −0.958650 | − | 0.553477i | ||||
\(299\) | −17.5585 | − | 20.1220i | −1.01543 | − | 1.16368i | ||||
\(300\) | 3.31984i | 0.191671i | ||||||||
\(301\) | 1.48872 | − | 2.57716i | 0.0858083 | − | 0.148545i | ||||
\(302\) | 14.9574 | − | 32.7520i | 0.860699 | − | 1.88467i | ||||
\(303\) | −7.34421 | − | 7.00269i | −0.421914 | − | 0.402294i | ||||
\(304\) | 11.4983 | + | 33.2222i | 0.659474 | + | 1.90542i | ||||
\(305\) | −13.1638 | + | 12.5516i | −0.753755 | + | 0.718704i | ||||
\(306\) | −8.64950 | − | 4.45913i | −0.494459 | − | 0.254911i | ||||
\(307\) | −0.283910 | + | 0.129657i | −0.0162036 | + | 0.00739994i | −0.423500 | − | 0.905896i | \(-0.639199\pi\) |
0.407297 | + | 0.913296i | \(0.366471\pi\) | |||||||
\(308\) | 7.43566 | − | 4.77618i | 0.423686 | − | 0.272148i | ||||
\(309\) | 6.62331 | − | 10.3061i | 0.376787 | − | 0.586292i | ||||
\(310\) | 0.439191 | + | 1.09705i | 0.0249444 | + | 0.0623080i | ||||
\(311\) | −3.07703 | + | 3.91277i | −0.174483 | + | 0.221873i | −0.865427 | − | 0.501035i | \(-0.832953\pi\) |
0.690944 | + | 0.722908i | \(0.257195\pi\) | |||||||
\(312\) | 9.00430 | − | 4.64204i | 0.509768 | − | 0.262804i | ||||
\(313\) | −5.29121 | + | 15.2880i | −0.299077 | + | 0.864126i | 0.690907 | + | 0.722944i | \(0.257212\pi\) |
−0.989984 | + | 0.141182i | \(0.954910\pi\) | |||||||
\(314\) | −11.9773 | − | 26.2266i | −0.675917 | − | 1.48005i | ||||
\(315\) | 2.60694 | + | 1.85730i | 0.146884 | + | 0.104647i | ||||
\(316\) | −3.01260 | + | 10.2600i | −0.169472 | + | 0.577168i | ||||
\(317\) | 3.70662 | + | 0.714392i | 0.208184 | + | 0.0401243i | 0.292277 | − | 0.956334i | \(-0.405587\pi\) |
−0.0840926 | + | 0.996458i | \(0.526799\pi\) | |||||||
\(318\) | 3.76856 | − | 15.5342i | 0.211330 | − | 0.871115i | ||||
\(319\) | −4.95439 | + | 3.52801i | −0.277393 | + | 0.197530i | ||||
\(320\) | 1.47117 | − | 1.15694i | 0.0822408 | − | 0.0646749i | ||||
\(321\) | 12.1626 | 0.678853 | ||||||||
\(322\) | −20.8508 | + | 6.19581i | −1.16197 | + | 0.345279i | ||||
\(323\) | −39.9427 | −2.22247 | ||||||||
\(324\) | −0.737932 | + | 0.580316i | −0.0409962 | + | 0.0322398i | ||||
\(325\) | 16.0407 | − | 11.4226i | 0.889780 | − | 0.633609i | ||||
\(326\) | 9.66593 | − | 39.8435i | 0.535346 | − | 2.20673i | ||||
\(327\) | −1.14156 | − | 0.220018i | −0.0631286 | − | 0.0121670i | ||||
\(328\) | 2.69138 | − | 9.16601i | 0.148607 | − | 0.506108i | ||||
\(329\) | 3.04043 | + | 6.66169i | 0.167624 | + | 0.367271i | ||||
\(330\) | 3.06551 | + | 6.71253i | 0.168751 | + | 0.369512i | ||||
\(331\) | 3.38874 | − | 9.79113i | 0.186262 | − | 0.538169i | −0.812750 | − | 0.582613i | \(-0.802030\pi\) |
0.999012 | + | 0.0444437i | \(0.0141515\pi\) | |||||||
\(332\) | −3.41088 | + | 1.75843i | −0.187196 | + | 0.0965063i | ||||
\(333\) | 0.0217940 | − | 0.0277134i | 0.00119431 | − | 0.00151868i | ||||
\(334\) | 12.9429 | + | 32.3298i | 0.708203 | + | 1.76901i | ||||
\(335\) | 4.34907 | − | 6.76728i | 0.237615 | − | 0.369736i | ||||
\(336\) | −0.625924 | − | 13.2040i | −0.0341469 | − | 0.720338i | ||||
\(337\) | 1.48917 | − | 0.680081i | 0.0811202 | − | 0.0370464i | −0.374442 | − | 0.927250i | \(-0.622166\pi\) |
0.455562 | + | 0.890204i | \(0.349438\pi\) | |||||||
\(338\) | 27.4398 | + | 14.1462i | 1.49253 | + | 0.769453i | ||||
\(339\) | −4.92932 | + | 4.70009i | −0.267724 | + | 0.255274i | ||||
\(340\) | −2.10868 | − | 6.09263i | −0.114359 | − | 0.330419i | ||||
\(341\) | −1.46721 | − | 1.39898i | −0.0794540 | − | 0.0757592i | ||||
\(342\) | −5.01092 | + | 10.9724i | −0.270960 | + | 0.593319i | ||||
\(343\) | −5.23009 | + | 17.7664i | −0.282398 | + | 0.959297i | ||||
\(344\) | − | 2.04648i | − | 0.110339i | ||||||
\(345\) | −0.845662 | − | 5.74015i | −0.0455289 | − | 0.309039i | ||||
\(346\) | 29.1098 | + | 16.8066i | 1.56495 | + | 0.903526i | ||||
\(347\) | −12.1902 | − | 4.88023i | −0.654406 | − | 0.261985i | 0.0206103 | − | 0.999788i | \(-0.493439\pi\) |
−0.675016 | + | 0.737803i | \(0.735863\pi\) | |||||||
\(348\) | −0.152542 | − | 1.59749i | −0.00817709 | − | 0.0856343i | ||||
\(349\) | −3.02538 | − | 10.3035i | −0.161945 | − | 0.551534i | −0.999982 | − | 0.00592144i | \(-0.998115\pi\) |
0.838037 | − | 0.545613i | \(-0.183703\pi\) | |||||||
\(350\) | −3.03181 | − | 15.7501i | −0.162057 | − | 0.841880i | ||||
\(351\) | 5.34296 | + | 1.56883i | 0.285186 | + | 0.0837382i | ||||
\(352\) | 8.03225 | − | 15.5804i | 0.428120 | − | 0.830437i | ||||
\(353\) | −2.08755 | + | 21.8618i | −0.111109 | + | 1.16359i | 0.752208 | + | 0.658925i | \(0.228989\pi\) |
−0.863317 | + | 0.504661i | \(0.831617\pi\) | |||||||
\(354\) | 12.9977 | − | 2.50509i | 0.690818 | − | 0.133144i | ||||
\(355\) | 0.112098 | − | 2.35324i | 0.00594957 | − | 0.124897i | ||||
\(356\) | 0.787614 | − | 5.47798i | 0.0417435 | − | 0.290332i | ||||
\(357\) | 14.4094 | + | 4.23462i | 0.762629 | + | 0.224120i | ||||
\(358\) | −21.0771 | − | 13.5454i | −1.11396 | − | 0.715898i | ||||
\(359\) | −2.42072 | − | 0.837821i | −0.127761 | − | 0.0442185i | 0.262439 | − | 0.964948i | \(-0.415473\pi\) |
−0.390200 | + | 0.920730i | \(0.627594\pi\) | |||||||
\(360\) | 2.19099 | + | 0.209214i | 0.115475 | + | 0.0110265i | ||||
\(361\) | 1.45178 | + | 30.4767i | 0.0764096 | + | 1.60403i | ||||
\(362\) | 2.58675 | + | 10.6627i | 0.135957 | + | 0.560420i | ||||
\(363\) | −1.25444 | − | 1.08698i | −0.0658411 | − | 0.0570517i | ||||
\(364\) | 10.8739 | − | 8.54724i | 0.569946 | − | 0.447997i | ||||
\(365\) | 2.84060 | + | 1.29726i | 0.148684 | + | 0.0679017i | ||||
\(366\) | 15.9317 | + | 20.2588i | 0.832765 | + | 1.05895i | ||||
\(367\) | 2.49688 | − | 4.32473i | 0.130336 | − | 0.225749i | −0.793470 | − | 0.608609i | \(-0.791728\pi\) |
0.923806 | + | 0.382860i | \(0.125061\pi\) | |||||||
\(368\) | −16.4748 | + | 17.3988i | −0.858808 | + | 0.906977i | ||||
\(369\) | 4.54758 | − | 2.62555i | 0.236738 | − | 0.136681i | ||||
\(370\) | 0.0723769 | − | 0.0104062i | 0.00376270 | − | 0.000540994i | ||||
\(371\) | −1.17955 | + | 24.6420i | −0.0612394 | + | 1.27935i | ||||
\(372\) | 0.513222 | − | 0.150696i | 0.0266093 | − | 0.00781320i | ||||
\(373\) | 1.98895 | − | 10.3197i | 0.102984 | − | 0.534332i | −0.893392 | − | 0.449278i | \(-0.851681\pi\) |
0.996376 | − | 0.0850546i | \(-0.0271065\pi\) | |||||||
\(374\) | 23.8937 | + | 25.0590i | 1.23551 | + | 1.29577i | ||||
\(375\) | 10.3158 | − | 0.491400i | 0.532703 | − | 0.0253758i | ||||
\(376\) | 4.10151 | + | 2.92067i | 0.211519 | + | 0.150622i | ||||
\(377\) | −7.19386 | + | 6.23352i | −0.370503 | + | 0.321043i | ||||
\(378\) | 2.97096 | − | 3.42707i | 0.152810 | − | 0.176270i | ||||
\(379\) | −26.2343 | − | 3.77192i | −1.34757 | − | 0.193751i | −0.569530 | − | 0.821970i | \(-0.692875\pi\) |
−0.778036 | + | 0.628220i | \(0.783784\pi\) | |||||||
\(380\) | −7.41922 | + | 2.97021i | −0.380598 | + | 0.152368i | ||||
\(381\) | 2.75449 | + | 5.34296i | 0.141117 | + | 0.273728i | ||||
\(382\) | 5.17513 | + | 26.8511i | 0.264783 | + | 1.37382i | ||||
\(383\) | −14.5354 | + | 20.4121i | −0.742724 | + | 1.04301i | 0.254391 | + | 0.967101i | \(0.418125\pi\) |
−0.997115 | + | 0.0759082i | \(0.975814\pi\) | |||||||
\(384\) | −6.76076 | − | 10.5199i | −0.345008 | − | 0.536844i | ||||
\(385\) | −6.60412 | − | 9.27873i | −0.336577 | − | 0.472888i | ||||
\(386\) | 18.7551 | − | 21.6445i | 0.954609 | − | 1.10168i | ||||
\(387\) | 0.776280 | − | 0.814139i | 0.0394605 | − | 0.0413850i | ||||
\(388\) | 4.13113 | + | 5.80136i | 0.209726 | + | 0.294519i | ||||
\(389\) | 9.49228 | − | 23.7106i | 0.481278 | − | 1.20217i | −0.466865 | − | 0.884329i | \(-0.654617\pi\) |
0.948143 | − | 0.317845i | \(-0.102959\pi\) | |||||||
\(390\) | 5.77452 | + | 10.0018i | 0.292404 | + | 0.506459i | ||||
\(391\) | −12.5586 | − | 24.1541i | −0.635118 | − | 1.22152i | ||||
\(392\) | 2.99658 | + | 12.3771i | 0.151350 | + | 0.625136i | ||||
\(393\) | −0.861735 | − | 5.99350i | −0.0434688 | − | 0.302332i | ||||
\(394\) | −0.378968 | + | 0.0361871i | −0.0190921 | + | 0.00182308i | ||||
\(395\) | 13.3920 | + | 3.24885i | 0.673822 | + | 0.163468i | ||||
\(396\) | 3.15654 | − | 1.09249i | 0.158622 | − | 0.0548996i | ||||
\(397\) | 23.9338 | − | 5.80627i | 1.20120 | − | 0.291408i | 0.415256 | − | 0.909704i | \(-0.363692\pi\) |
0.785945 | + | 0.618296i | \(0.212177\pi\) | |||||||
\(398\) | 17.2305 | − | 11.0734i | 0.863689 | − | 0.555059i | ||||
\(399\) | 4.39322 | − | 18.0908i | 0.219936 | − | 0.905674i | ||||
\(400\) | −11.5703 | − | 13.3529i | −0.578516 | − | 0.667644i | ||||
\(401\) | 20.8303 | + | 0.992271i | 1.04022 | + | 0.0495517i | 0.560731 | − | 0.827998i | \(-0.310520\pi\) |
0.479486 | + | 0.877549i | \(0.340823\pi\) | |||||||
\(402\) | −8.95985 | − | 7.04610i | −0.446877 | − | 0.351428i | ||||
\(403\) | −2.49397 | − | 1.96128i | −0.124233 | − | 0.0976983i | ||||
\(404\) | −9.51565 | − | 0.453286i | −0.473421 | − | 0.0225518i | ||||
\(405\) | 0.792266 | + | 0.914324i | 0.0393680 | + | 0.0454331i | ||||
\(406\) | 2.18259 | + | 7.43957i | 0.108320 | + | 0.369220i | ||||
\(407\) | −0.105531 | + | 0.0678205i | −0.00523096 | + | 0.00336174i | ||||
\(408\) | 10.0359 | − | 2.43469i | 0.496852 | − | 0.120535i | ||||
\(409\) | 32.8352 | − | 11.3644i | 1.62360 | − | 0.561933i | 0.644373 | − | 0.764711i | \(-0.277118\pi\) |
0.979225 | + | 0.202778i | \(0.0649971\pi\) | |||||||
\(410\) | 10.5837 | + | 2.56758i | 0.522692 | + | 0.126804i | ||||
\(411\) | 20.7698 | − | 1.98328i | 1.02450 | − | 0.0978280i | ||||
\(412\) | −1.63674 | − | 11.3838i | −0.0806366 | − | 0.560840i | ||||
\(413\) | −18.9675 | + | 7.58837i | −0.933331 | + | 0.373399i | ||||
\(414\) | −8.21071 | + | 0.419702i | −0.403535 | + | 0.0206272i | ||||
\(415\) | 2.47271 | + | 4.28285i | 0.121380 | + | 0.210237i | ||||
\(416\) | 10.1960 | − | 25.4685i | 0.499902 | − | 1.24869i | ||||
\(417\) | −1.55779 | − | 2.18760i | −0.0762851 | − | 0.107127i | ||||
\(418\) | 29.6175 | − | 31.0620i | 1.44864 | − | 1.51929i | ||||
\(419\) | −20.9109 | + | 24.1325i | −1.02156 | + | 1.17895i | −0.0378363 | + | 0.999284i | \(0.512047\pi\) |
−0.983728 | + | 0.179664i | \(0.942499\pi\) | |||||||
\(420\) | 2.99140 | − | 0.284945i | 0.145965 | − | 0.0139039i | ||||
\(421\) | 10.7264 | + | 16.6906i | 0.522774 | + | 0.813452i | 0.997785 | − | 0.0665281i | \(-0.0211922\pi\) |
−0.475011 | + | 0.879980i | \(0.657556\pi\) | |||||||
\(422\) | −19.1787 | + | 26.9327i | −0.933605 | + | 1.31106i | ||||
\(423\) | 0.523796 | + | 2.71771i | 0.0254679 | + | 0.132140i | ||||
\(424\) | 7.77306 | + | 15.0776i | 0.377493 | + | 0.732235i | ||||
\(425\) | 18.6363 | − | 7.46083i | 0.903991 | − | 0.361903i | ||||
\(426\) | −3.30428 | − | 0.475083i | −0.160093 | − | 0.0230179i | ||||
\(427\) | −30.0552 | − | 26.0551i | −1.45447 | − | 1.26090i | ||||
\(428\) | 8.62920 | − | 7.47724i | 0.417108 | − | 0.361426i | ||||
\(429\) | −16.1394 | − | 11.4928i | −0.779216 | − | 0.554877i | ||||
\(430\) | 2.33041 | − | 0.111011i | 0.112383 | − | 0.00535344i | ||||
\(431\) | 4.73252 | + | 4.96332i | 0.227957 | + | 0.239075i | 0.827773 | − | 0.561064i | \(-0.189608\pi\) |
−0.599815 | + | 0.800139i | \(0.704759\pi\) | |||||||
\(432\) | 0.945547 | − | 4.90596i | 0.0454926 | − | 0.236038i | ||||
\(433\) | 25.3088 | − | 7.43132i | 1.21626 | − | 0.357126i | 0.390212 | − | 0.920725i | \(-0.372402\pi\) |
0.826049 | + | 0.563599i | \(0.190583\pi\) | |||||||
\(434\) | −2.29723 | + | 1.18363i | −0.110271 | + | 0.0568162i | ||||
\(435\) | −2.04702 | + | 0.294318i | −0.0981473 | + | 0.0141115i | ||||
\(436\) | −0.945181 | + | 0.545700i | −0.0452659 | + | 0.0261343i | ||||
\(437\) | −29.1657 | + | 16.9741i | −1.39518 | + | 0.811982i | ||||
\(438\) | 2.21247 | − | 3.83210i | 0.105716 | − | 0.183105i | ||||
\(439\) | −3.25652 | − | 4.14100i | −0.155425 | − | 0.197639i | 0.702104 | − | 0.712074i | \(-0.252244\pi\) |
−0.857529 | + | 0.514435i | \(0.828002\pi\) | |||||||
\(440\) | −7.12346 | − | 3.25317i | −0.339598 | − | 0.155089i | ||||
\(441\) | −3.50280 | + | 6.06056i | −0.166800 | + | 0.288598i | ||||
\(442\) | 40.9532 | + | 35.4861i | 1.94794 | + | 1.68790i | ||||
\(443\) | −5.20222 | − | 21.4439i | −0.247165 | − | 1.01883i | −0.951178 | − | 0.308642i | \(-0.900126\pi\) |
0.704013 | − | 0.710187i | \(-0.251390\pi\) | |||||||
\(444\) | −0.00157487 | − | 0.0330605i | −7.47398e−5 | − | 0.00156898i | ||||
\(445\) | −7.09987 | − | 0.677955i | −0.336566 | − | 0.0321382i | ||||
\(446\) | 6.63938 | + | 2.29791i | 0.314384 | + | 0.108809i | ||||
\(447\) | 9.37737 | + | 6.02647i | 0.443534 | + | 0.285042i | ||||
\(448\) | 2.82378 | + | 2.96287i | 0.133411 | + | 0.139982i | ||||
\(449\) | −1.99929 | + | 13.9053i | −0.0943522 | + | 0.656234i | 0.886679 | + | 0.462385i | \(0.153006\pi\) |
−0.981031 | + | 0.193849i | \(0.937903\pi\) | |||||||
\(450\) | 0.288455 | − | 6.05541i | 0.0135979 | − | 0.285455i | ||||
\(451\) | −18.3461 | + | 3.53593i | −0.863885 | + | 0.166500i | ||||
\(452\) | −0.607787 | + | 6.36504i | −0.0285879 | + | 0.299386i | ||||
\(453\) | −9.62430 | + | 18.6685i | −0.452189 | + | 0.877124i | ||||
\(454\) | 17.0439 | + | 5.00453i | 0.799909 | + | 0.234874i | ||||
\(455\) | −11.6693 | − | 13.4734i | −0.547064 | − | 0.631641i | ||||
\(456\) | −3.60643 | − | 12.2824i | −0.168887 | − | 0.575175i | ||||
\(457\) | 0.102356 | + | 1.07192i | 0.00478803 | + | 0.0501425i | 0.997550 | − | 0.0699546i | \(-0.0222855\pi\) |
−0.992762 | + | 0.120097i | \(0.961679\pi\) | |||||||
\(458\) | −42.2299 | − | 16.9063i | −1.97328 | − | 0.789980i | ||||
\(459\) | 4.91605 | + | 2.83829i | 0.229462 | + | 0.132480i | ||||
\(460\) | −4.12886 | − | 3.55265i | −0.192509 | − | 0.165643i | ||||
\(461\) | − | 13.2908i | − | 0.619014i | −0.950897 | − | 0.309507i | \(-0.899836\pi\) | ||
0.950897 | − | 0.309507i | \(-0.100164\pi\) | |||||||
\(462\) | −13.9777 | + | 8.06572i | −0.650302 | + | 0.375251i | ||||
\(463\) | −6.05486 | + | 13.2583i | −0.281393 | + | 0.616165i | −0.996568 | − | 0.0827807i | \(-0.973620\pi\) |
0.715175 | + | 0.698946i | \(0.246347\pi\) | |||||||
\(464\) | 6.18113 | + | 5.89369i | 0.286952 | + | 0.273608i | ||||
\(465\) | −0.225455 | − | 0.651409i | −0.0104552 | − | 0.0302083i | ||||
\(466\) | 28.8481 | − | 27.5066i | 1.33636 | − | 1.27422i | ||||
\(467\) | 13.1617 | + | 6.78532i | 0.609050 | + | 0.313987i | 0.735018 | − | 0.678047i | \(-0.237174\pi\) |
−0.125968 | + | 0.992034i | \(0.540204\pi\) | |||||||
\(468\) | 4.75522 | − | 2.17163i | 0.219810 | − | 0.100384i | ||||
\(469\) | 15.6345 | + | 8.06472i | 0.721934 | + | 0.372394i | ||||
\(470\) | −3.10340 | + | 4.82899i | −0.143149 | + | 0.222745i | ||||
\(471\) | 6.25088 | + | 15.6139i | 0.288025 | + | 0.719452i | ||||
\(472\) | −8.68341 | + | 11.0419i | −0.399686 | + | 0.508243i | ||||
\(473\) | −3.55759 | + | 1.83406i | −0.163578 | + | 0.0843304i | ||||
\(474\) | 6.38648 | − | 18.4525i | 0.293341 | − | 0.847552i | ||||
\(475\) | −10.3368 | − | 22.6344i | −0.474285 | − | 1.03854i | ||||
\(476\) | 12.8266 | − | 5.85412i | 0.587905 | − | 0.268323i | ||||
\(477\) | −2.62700 | + | 8.94674i | −0.120282 | + | 0.409643i | ||||
\(478\) | 0.215743 | + | 0.0415810i | 0.00986785 | + | 0.00190187i | ||||
\(479\) | −0.980527 | + | 4.04179i | −0.0448014 | + | 0.184674i | −0.989816 | − | 0.142355i | \(-0.954532\pi\) |
0.945014 | + | 0.327029i | \(0.106048\pi\) | |||||||
\(480\) | 4.85508 | − | 3.45728i | 0.221603 | − | 0.157803i | ||||
\(481\) | −0.154323 | + | 0.121361i | −0.00703650 | + | 0.00553357i | ||||
\(482\) | −22.0967 | −1.00648 | ||||||||
\(483\) | 12.3211 | − | 3.03139i | 0.560632 | − | 0.137933i | ||||
\(484\) | −1.55825 | −0.0708295 | ||||||||
\(485\) | 7.21452 | − | 5.67356i | 0.327595 | − | 0.257623i | ||||
\(486\) | 1.39642 | − | 0.994384i | 0.0633428 | − | 0.0451062i | ||||
\(487\) | 4.54532 | − | 18.7361i | 0.205968 | − | 0.849012i | −0.771209 | − | 0.636583i | \(-0.780347\pi\) |
0.977177 | − | 0.212429i | \(-0.0681374\pi\) | |||||||
\(488\) | −26.8564 | − | 5.17615i | −1.21573 | − | 0.234313i | ||||
\(489\) | −6.73797 | + | 22.9474i | −0.304701 | + | 1.03772i | ||||
\(490\) | −13.9317 | + | 4.08372i | −0.629371 | + | 0.184484i | ||||
\(491\) | 13.7115 | + | 30.0241i | 0.618793 | + | 1.35497i | 0.916394 | + | 0.400277i | \(0.131086\pi\) |
−0.297602 | + | 0.954690i | \(0.596187\pi\) | |||||||
\(492\) | 1.61232 | − | 4.65850i | 0.0726892 | − | 0.210022i | ||||
\(493\) | −8.62485 | + | 4.44642i | −0.388444 | + | 0.200257i | ||||
\(494\) | 41.5218 | − | 52.7992i | 1.86815 | − | 2.37555i | ||||
\(495\) | −1.59987 | − | 3.99629i | −0.0719089 | − | 0.179620i | ||||
\(496\) | −1.53905 | + | 2.39481i | −0.0691053 | + | 0.107530i | ||||
\(497\) | 5.14633 | − | 0.243957i | 0.230844 | − | 0.0109430i | ||||
\(498\) | 6.37426 | − | 2.91103i | 0.285637 | − | 0.130446i | ||||
\(499\) | −16.0665 | − | 8.28284i | −0.719234 | − | 0.370791i | 0.0594296 | − | 0.998232i | \(-0.481072\pi\) |
−0.778664 | + | 0.627442i | \(0.784102\pi\) | |||||||
\(500\) | 7.01676 | − | 6.69046i | 0.313799 | − | 0.299207i | ||||
\(501\) | −6.64411 | − | 19.1969i | −0.296837 | − | 0.857654i | ||||
\(502\) | −27.5542 | − | 26.2729i | −1.22980 | − | 1.17262i | ||||
\(503\) | 15.4221 | − | 33.7697i | 0.687637 | − | 1.50572i | −0.166706 | − | 0.986007i | \(-0.553313\pi\) |
0.854343 | − | 0.519709i | \(-0.173960\pi\) | |||||||
\(504\) | −0.00111335 | + | 4.81324i | −4.95924e−5 | + | 0.214399i | ||||
\(505\) | 12.2769i | 0.546315i | ||||||||
\(506\) | 28.0960 | + | 8.14386i | 1.24902 | + | 0.362039i | ||||
\(507\) | −15.5958 | − | 9.00423i | −0.692633 | − | 0.399892i | ||||
\(508\) | 5.23896 | + | 2.09736i | 0.232441 | + | 0.0930554i | ||||
\(509\) | −0.111805 | − | 1.17087i | −0.00495566 | − | 0.0518980i | 0.992656 | − | 0.120973i | \(-0.0386014\pi\) |
−0.997611 | + | 0.0690747i | \(0.977995\pi\) | |||||||
\(510\) | 3.31687 | + | 11.2962i | 0.146874 | + | 0.500205i | ||||
\(511\) | −2.23512 | + | 6.45311i | −0.0988757 | + | 0.285469i | ||||
\(512\) | −6.17486 | − | 1.81310i | −0.272893 | − | 0.0801286i | ||||
\(513\) | 3.22427 | − | 6.25422i | 0.142355 | − | 0.276131i | ||||
\(514\) | −1.84184 | + | 19.2886i | −0.0812399 | + | 0.850783i | ||||
\(515\) | −14.5535 | + | 2.80496i | −0.641305 | + | 0.123601i | ||||
\(516\) | 0.0502488 | − | 1.05485i | 0.00221208 | − | 0.0464373i | ||||
\(517\) | 1.40149 | − | 9.74754i | 0.0616373 | − | 0.428697i | ||||
\(518\) | 0.0376638 | + | 0.155409i | 0.00165485 | + | 0.00682828i | ||||
\(519\) | −16.4950 | − | 10.6007i | −0.724050 | − | 0.465318i | ||||
\(520\) | −11.5820 | − | 4.00856i | −0.507904 | − | 0.175787i | ||||
\(521\) | −10.7955 | − | 1.03085i | −0.472961 | − | 0.0451623i | −0.144145 | − | 0.989557i | \(-0.546043\pi\) |
−0.328815 | + | 0.944394i | \(0.606649\pi\) | |||||||
\(522\) | 0.139434 | + | 2.92709i | 0.00610288 | + | 0.128115i | ||||
\(523\) | −4.07466 | − | 16.7960i | −0.178172 | − | 0.734436i | −0.988846 | − | 0.148938i | \(-0.952414\pi\) |
0.810674 | − | 0.585497i | \(-0.199101\pi\) | |||||||
\(524\) | −4.29601 | − | 3.72252i | −0.187672 | − | 0.162619i | ||||
\(525\) | 1.32939 | + | 9.26132i | 0.0580193 | + | 0.404197i | ||||
\(526\) | 6.12057 | + | 2.79517i | 0.266870 | + | 0.121875i | ||||
\(527\) | −1.99933 | − | 2.54236i | −0.0870924 | − | 0.110747i | ||||
\(528\) | −8.88851 | + | 15.3953i | −0.386823 | + | 0.669997i | ||||
\(529\) | −19.4347 | − | 12.3001i | −0.844988 | − | 0.534786i | ||||
\(530\) | −16.7479 | + | 9.66939i | −0.727481 | + | 0.420011i | ||||
\(531\) | −7.64290 | + | 1.09888i | −0.331674 | + | 0.0476875i | ||||
\(532\) | −8.00480 | − | 15.5360i | −0.347052 | − | 0.673570i | ||||
\(533\) | −28.0564 | + | 8.23810i | −1.21526 | + | 0.356832i | ||||
\(534\) | −1.91259 | + | 9.92345i | −0.0827658 | + | 0.429430i | ||||
\(535\) | −10.1543 | − | 10.6495i | −0.439008 | − | 0.460418i | ||||
\(536\) | 12.0826 | − | 0.575567i | 0.521890 | − | 0.0248607i | ||||
\(537\) | 11.9051 | + | 8.47756i | 0.513742 | + | 0.365834i | ||||
\(538\) | −23.2223 | + | 20.1222i | −1.00118 | + | 0.867531i | ||||
\(539\) | 18.8306 | − | 16.3016i | 0.811092 | − | 0.702159i | ||||
\(540\) | 1.12420 | + | 0.161635i | 0.0483778 | + | 0.00695568i | ||||
\(541\) | 32.5398 | − | 13.0270i | 1.39900 | − | 0.560073i | 0.455137 | − | 0.890422i | \(-0.349590\pi\) |
0.943859 | + | 0.330348i | \(0.107166\pi\) | |||||||
\(542\) | −23.5459 | − | 45.6727i | −1.01138 | − | 1.96181i | ||||
\(543\) | −1.21127 | − | 6.28467i | −0.0519806 | − | 0.269701i | ||||
\(544\) | 16.2218 | − | 22.7803i | 0.695504 | − | 0.976698i | ||||
\(545\) | 0.760415 | + | 1.18323i | 0.0325726 | + | 0.0506840i | ||||
\(546\) | −20.5767 | + | 14.6454i | −0.880602 | + | 0.626767i | ||||
\(547\) | −22.6130 | + | 26.0968i | −0.966861 | + | 1.11582i | 0.0263687 | + | 0.999652i | \(0.491606\pi\) |
−0.993230 | + | 0.116165i | \(0.962940\pi\) | |||||||
\(548\) | 13.5166 | − | 14.1758i | 0.577400 | − | 0.605560i | ||||
\(549\) | −8.72067 | − | 12.2465i | −0.372189 | − | 0.522666i | ||||
\(550\) | −8.01677 | + | 20.0249i | −0.341836 | + | 0.853865i | ||||
\(551\) | 6.01404 | + | 10.4166i | 0.256207 | + | 0.443763i | ||||
\(552\) | 6.29345 | − | 6.04265i | 0.267867 | − | 0.257192i | ||||
\(553\) | −4.29573 | + | 29.8285i | −0.182673 | + | 1.26844i | ||||
\(554\) | 7.51140 | + | 52.2430i | 0.319129 | + | 2.21959i | ||||
\(555\) | −0.0424608 | + | 0.00405452i | −0.00180236 | + | 0.000172105i | ||||
\(556\) | −2.45010 | − | 0.594387i | −0.103907 | − | 0.0252076i | ||||
\(557\) | 29.9462 | − | 10.3645i | 1.26886 | − | 0.439157i | 0.392029 | − | 0.919953i | \(-0.371773\pi\) |
0.876833 | + | 0.480796i | \(0.159652\pi\) | |||||||
\(558\) | −0.949216 | + | 0.230277i | −0.0401835 | + | 0.00974841i | ||||
\(559\) | −5.26971 | + | 3.38664i | −0.222885 | + | 0.143240i | ||||
\(560\) | −11.0387 | + | 11.5717i | −0.466472 | + | 0.488995i | ||||
\(561\) | −13.2266 | − | 15.2644i | −0.558429 | − | 0.644462i | ||||
\(562\) | −22.3140 | − | 1.06295i | −0.941258 | − | 0.0448376i | ||||
\(563\) | 22.4430 | + | 17.6493i | 0.945858 | + | 0.743831i | 0.966689 | − | 0.255952i | \(-0.0823889\pi\) |
−0.0208315 | + | 0.999783i | \(0.506631\pi\) | |||||||
\(564\) | 2.04240 | + | 1.60616i | 0.0860004 | + | 0.0676315i | ||||
\(565\) | 8.23071 | + | 0.392077i | 0.346269 | + | 0.0164948i | ||||
\(566\) | 9.58674 | + | 11.0637i | 0.402961 | + | 0.465042i | ||||
\(567\) | −1.82622 | + | 1.91440i | −0.0766940 | + | 0.0803972i | ||||
\(568\) | 2.98024 | − | 1.91528i | 0.125048 | − | 0.0803635i | ||||
\(569\) | 10.1199 | − | 2.45506i | 0.424249 | − | 0.102922i | −0.0179496 | − | 0.999839i | \(-0.505714\pi\) |
0.442198 | + | 0.896917i | \(0.354199\pi\) | |||||||
\(570\) | 13.7908 | − | 4.77304i | 0.577633 | − | 0.199921i | ||||
\(571\) | −9.65778 | − | 2.34295i | −0.404165 | − | 0.0980495i | 0.0285227 | − | 0.999593i | \(-0.490920\pi\) |
−0.432688 | + | 0.901544i | \(0.642435\pi\) | |||||||
\(572\) | −18.5160 | + | 1.76807i | −0.774194 | + | 0.0739266i | ||||
\(573\) | −2.27012 | − | 15.7891i | −0.0948358 | − | 0.659597i | ||||
\(574\) | −3.39493 | + | 23.5735i | −0.141702 | + | 0.983941i | ||||
\(575\) | 10.4374 | − | 13.3675i | 0.435270 | − | 0.557463i | ||||
\(576\) | 0.773497 | + | 1.33974i | 0.0322290 | + | 0.0558223i | ||||
\(577\) | 4.88276 | − | 12.1965i | 0.203272 | − | 0.507748i | −0.791345 | − | 0.611370i | \(-0.790619\pi\) |
0.994617 | + | 0.103621i | \(0.0330431\pi\) | |||||||
\(578\) | 15.1380 | + | 21.2583i | 0.629656 | + | 0.884228i | ||||
\(579\) | −11.5288 | + | 12.0911i | −0.479122 | + | 0.502489i | ||||
\(580\) | −1.27139 | + | 1.46726i | −0.0527917 | + | 0.0609249i | ||||
\(581\) | −8.81115 | + | 6.27132i | −0.365548 | + | 0.260178i | ||||
\(582\) | −7.03115 | − | 10.9407i | −0.291450 | − | 0.453506i | ||||
\(583\) | 19.2446 | − | 27.0252i | 0.797029 | − | 1.11927i | ||||
\(584\) | 0.888690 | + | 4.61096i | 0.0367742 | + | 0.190803i | ||||
\(585\) | −3.08704 | − | 5.98802i | −0.127633 | − | 0.247574i | ||||
\(586\) | −28.2171 | + | 11.2964i | −1.16564 | + | 0.466651i | ||||
\(587\) | 3.71158 | + | 0.533644i | 0.153193 | + | 0.0220259i | 0.218485 | − | 0.975840i | \(-0.429889\pi\) |
−0.0652915 | + | 0.997866i | \(0.520798\pi\) | |||||||
\(588\) | 1.24067 | + | 6.45329i | 0.0511645 | + | 0.266129i | ||||
\(589\) | −3.02990 | + | 2.62543i | −0.124845 | + | 0.108179i | ||||
\(590\) | −13.0448 | − | 9.28919i | −0.537048 | − | 0.382430i | ||||
\(591\) | 0.221818 | − | 0.0105665i | 0.00912439 | − | 0.000434648i | ||||
\(592\) | 0.121557 | + | 0.127485i | 0.00499597 | + | 0.00523962i | ||||
\(593\) | 1.49272 | − | 7.74498i | 0.0612988 | − | 0.318048i | −0.938317 | − | 0.345777i | \(-0.887615\pi\) |
0.999615 | + | 0.0277287i | \(0.00882746\pi\) | |||||||
\(594\) | −5.85248 | + | 1.71844i | −0.240130 | + | 0.0705086i | ||||
\(595\) | −8.32228 | − | 16.1521i | −0.341180 | − | 0.662173i | ||||
\(596\) | 10.3580 | − | 1.48925i | 0.424279 | − | 0.0610022i | ||||
\(597\) | −10.3471 | + | 5.97391i | −0.423479 | + | 0.244496i | ||||
\(598\) | 44.9837 | + | 8.50802i | 1.83952 | + | 0.347919i | ||||
\(599\) | −5.07293 | + | 8.78658i | −0.207274 | + | 0.359010i | −0.950855 | − | 0.309637i | \(-0.899793\pi\) |
0.743581 | + | 0.668646i | \(0.233126\pi\) | |||||||
\(600\) | 3.97687 | + | 5.05700i | 0.162355 | + | 0.206451i | ||||
\(601\) | −19.5280 | − | 8.91812i | −0.796562 | − | 0.363778i | −0.0248029 | − | 0.999692i | \(-0.507896\pi\) |
−0.771760 | + | 0.635914i | \(0.780623\pi\) | |||||||
\(602\) | 0.724942 | + | 5.05038i | 0.0295464 | + | 0.205838i | ||||
\(603\) | 5.02508 | + | 4.35426i | 0.204637 | + | 0.177319i | ||||
\(604\) | 4.64859 | + | 19.1618i | 0.189149 | + | 0.779681i | ||||
\(605\) | 0.0955513 | + | 2.00587i | 0.00388471 | + | 0.0815502i | ||||
\(606\) | 17.3173 | + | 1.65360i | 0.703465 | + | 0.0671728i | ||||
\(607\) | 3.79666 | + | 1.31404i | 0.154102 | + | 0.0533351i | 0.403030 | − | 0.915187i | \(-0.367957\pi\) |
−0.248928 | + | 0.968522i | \(0.580078\pi\) | |||||||
\(608\) | −29.1622 | − | 18.7414i | −1.18269 | − | 0.760066i | ||||
\(609\) | −1.06524 | − | 4.39541i | −0.0431657 | − | 0.178111i | ||||
\(610\) | 4.43747 | − | 30.8633i | 0.179668 | − | 1.24962i | ||||
\(611\) | 0.733341 | − | 15.3947i | 0.0296678 | − | 0.622804i | ||||
\(612\) | 5.23275 | − | 1.00853i | 0.211522 | − | 0.0407674i | ||||
\(613\) | −3.03267 | + | 31.7596i | −0.122488 | + | 1.28276i | 0.700069 | + | 0.714075i | \(0.253153\pi\) |
−0.822557 | + | 0.568682i | \(0.807454\pi\) | |||||||
\(614\) | 0.245177 | − | 0.475576i | 0.00989453 | − | 0.0191927i | ||||
\(615\) | −6.09556 | − | 1.78982i | −0.245797 | − | 0.0721724i | ||||
\(616\) | 5.60506 | − | 16.1826i | 0.225834 | − | 0.652017i | ||||
\(617\) | 10.0334 | + | 34.1705i | 0.403928 | + | 1.37565i | 0.870935 | + | 0.491399i | \(0.163514\pi\) |
−0.467007 | + | 0.884254i | \(0.654668\pi\) | |||||||
\(618\) | 1.99632 | + | 20.9064i | 0.0803037 | + | 0.840978i | ||||
\(619\) | 4.80748 | + | 1.92463i | 0.193229 | + | 0.0773572i | 0.466259 | − | 0.884648i | \(-0.345602\pi\) |
−0.273030 | + | 0.962006i | \(0.588026\pi\) | |||||||
\(620\) | −0.560423 | − | 0.323561i | −0.0225071 | − | 0.0129945i | ||||
\(621\) | 4.79580 | − | 0.0166515i | 0.192449 | − | 0.000668202i | ||||
\(622\) | − | 8.53327i | − | 0.342153i | ||||||
\(623\) | 0.00360779 | − | 15.5973i | 0.000144543 | − | 0.624891i | ||||
\(624\) | −11.5576 | + | 25.3076i | −0.462673 | + | 1.01311i | ||||
\(625\) | 3.75418 | + | 3.57961i | 0.150167 | + | 0.143184i | ||||
\(626\) | −9.07066 | − | 26.2080i | −0.362536 | − | 1.04748i | ||||
\(627\) | −18.1195 | + | 17.2769i | −0.723622 | + | 0.689972i | ||||
\(628\) | 14.0339 | + | 7.23497i | 0.560013 | + | 0.288707i | ||||
\(629\) | −0.182049 | + | 0.0831392i | −0.00725878 | + | 0.00331498i | ||||
\(630\) | −5.48109 | + | 0.259826i | −0.218372 | + | 0.0103517i | ||||
\(631\) | 7.09632 | − | 11.0421i | 0.282500 | − | 0.439578i | −0.670785 | − | 0.741652i | \(-0.734043\pi\) |
0.953285 | + | 0.302074i | \(0.0976789\pi\) | |||||||
\(632\) | 7.70153 | + | 19.2375i | 0.306351 | + | 0.765227i | ||||
\(633\) | 11.9224 | − | 15.1606i | 0.473875 | − | 0.602580i | ||||
\(634\) | −5.75179 | + | 2.96525i | −0.228433 | + | 0.117765i | ||||
\(635\) | 2.37860 | − | 6.87250i | 0.0943917 | − | 0.272727i | ||||
\(636\) | 3.63638 | + | 7.96257i | 0.144192 | + | 0.315736i | ||||
\(637\) | 26.9121 | − | 28.1985i | 1.06630 | − | 1.11726i | ||||
\(638\) | 2.93751 | − | 10.0042i | 0.116297 | − | 0.396072i | ||||
\(639\) | 1.91212 | + | 0.368531i | 0.0756424 | + | 0.0145789i | ||||
\(640\) | −3.56678 | + | 14.7025i | −0.140989 | + | 0.581166i | ||||
\(641\) | −17.7408 | + | 12.6331i | −0.700718 | + | 0.498979i | −0.874020 | − | 0.485890i | \(-0.838496\pi\) |
0.173302 | + | 0.984869i | \(0.444556\pi\) | |||||||
\(642\) | −16.3894 | + | 12.8888i | −0.646839 | + | 0.508680i | ||||
\(643\) | 3.98839 | 0.157287 | 0.0786434 | − | 0.996903i | \(-0.474941\pi\) | ||||
0.0786434 | + | 0.996903i | \(0.474941\pi\) | |||||||
\(644\) | 6.87804 | − | 9.72540i | 0.271033 | − | 0.383235i | ||||
\(645\) | −1.36095 | −0.0535873 | ||||||||
\(646\) | 53.8237 | − | 42.3274i | 2.11766 | − | 1.66535i | ||||
\(647\) | 36.7638 | − | 26.1794i | 1.44533 | − | 1.02922i | 0.455001 | − | 0.890491i | \(-0.349639\pi\) |
0.990331 | − | 0.138726i | \(-0.0443007\pi\) | |||||||
\(648\) | −0.428901 | + | 1.76795i | −0.0168488 | + | 0.0694517i | ||||
\(649\) | 26.9771 | + | 5.19942i | 1.05895 | + | 0.204095i | ||||
\(650\) | −9.51072 | + | 32.3905i | −0.373041 | + | 1.27046i | ||||
\(651\) | 1.37139 | − | 0.625908i | 0.0537489 | − | 0.0245313i | ||||
\(652\) | 9.32692 | + | 20.4231i | 0.365270 | + | 0.799831i | ||||
\(653\) | −8.09133 | + | 23.3784i | −0.316638 | + | 0.914866i | 0.668592 | + | 0.743630i | \(0.266897\pi\) |
−0.985230 | + | 0.171236i | \(0.945224\pi\) | |||||||
\(654\) | 1.77143 | − | 0.913238i | 0.0692685 | − | 0.0357104i | ||||
\(655\) | −4.52841 | + | 5.75834i | −0.176940 | + | 0.224997i | ||||
\(656\) | 9.75086 | + | 24.3565i | 0.380707 | + | 0.950960i | ||||
\(657\) | −1.39551 | + | 2.17145i | −0.0544439 | + | 0.0847163i | ||||
\(658\) | −11.1565 | − | 5.75482i | −0.434924 | − | 0.224346i | ||||
\(659\) | −24.9811 | + | 11.4085i | −0.973125 | + | 0.444411i | −0.837553 | − | 0.546356i | \(-0.816014\pi\) |
−0.135572 | + | 0.990767i | \(0.543287\pi\) | |||||||
\(660\) | −3.59188 | − | 1.85174i | −0.139814 | − | 0.0720791i | ||||
\(661\) | −16.6344 | + | 15.8609i | −0.647003 | + | 0.616916i | −0.940804 | − | 0.338951i | \(-0.889928\pi\) |
0.293802 | + | 0.955866i | \(0.405080\pi\) | |||||||
\(662\) | 5.80928 | + | 16.7848i | 0.225784 | + | 0.652360i | ||||
\(663\) | −22.8773 | − | 21.8135i | −0.888482 | − | 0.847165i | ||||
\(664\) | −3.08924 | + | 6.76448i | −0.119886 | + | 0.262513i | ||||
\(665\) | −19.5079 | + | 11.2569i | −0.756486 | + | 0.436524i | ||||
\(666\) | 0.0604395i | 0.00234198i | ||||||||
\(667\) | −4.40820 | + | 6.91195i | −0.170686 | + | 0.267632i | ||||
\(668\) | −16.5156 | − | 9.53527i | −0.639007 | − | 0.368931i | ||||
\(669\) | −3.80480 | − | 1.52321i | −0.147102 | − | 0.0588908i | ||||
\(670\) | 1.31084 | + | 13.7278i | 0.0506423 | + | 0.530350i | ||||
\(671\) | 15.0706 | + | 51.3258i | 0.581794 | + | 1.98141i | ||||
\(672\) | 8.53344 | + | 9.85272i | 0.329185 | + | 0.380077i | ||||
\(673\) | 36.8523 | + | 10.8208i | 1.42055 | + | 0.417111i | 0.899690 | − | 0.436530i | \(-0.143793\pi\) |
0.520861 | + | 0.853641i | \(0.325611\pi\) | |||||||
\(674\) | −1.28600 | + | 2.49450i | −0.0495350 | + | 0.0960845i | ||||
\(675\) | −0.336149 | + | 3.52031i | −0.0129384 | + | 0.135497i | ||||
\(676\) | −16.6005 | + | 3.19948i | −0.638480 | + | 0.123057i | ||||
\(677\) | 1.07274 | − | 22.5196i | 0.0412287 | − | 0.865497i | −0.879644 | − | 0.475633i | \(-0.842219\pi\) |
0.920872 | − | 0.389864i | \(-0.127478\pi\) | |||||||
\(678\) | 1.66166 | − | 11.5571i | 0.0638156 | − | 0.443847i | ||||
\(679\) | 13.8477 | + | 14.5297i | 0.531424 | + | 0.557600i | ||||
\(680\) | −10.5105 | − | 6.75469i | −0.403059 | − | 0.259031i | ||||
\(681\) | −9.79209 | − | 3.38907i | −0.375234 | − | 0.129870i | ||||
\(682\) | 3.45960 | + | 0.330352i | 0.132475 | + | 0.0126498i | ||||
\(683\) | −0.0646907 | − | 1.35803i | −0.00247532 | − | 0.0519634i | 0.997292 | − | 0.0735475i | \(-0.0234321\pi\) |
−0.999767 | + | 0.0215841i | \(0.993129\pi\) | |||||||
\(684\) | −1.55734 | − | 6.41945i | −0.0595465 | − | 0.245454i | ||||
\(685\) | −19.0767 | − | 16.5301i | −0.728885 | − | 0.631582i | ||||
\(686\) | −11.7795 | − | 29.4830i | −0.449742 | − | 1.12567i | ||||
\(687\) | 24.1369 | + | 11.0230i | 0.920882 | + | 0.420553i | ||||
\(688\) | 3.47428 | + | 4.41790i | 0.132456 | + | 0.168431i | ||||
\(689\) | 25.9617 | − | 44.9670i | 0.989063 | − | 1.71311i | ||||
\(690\) | 7.22240 | + | 6.83882i | 0.274952 | + | 0.260350i | ||||
\(691\) | −0.648090 | + | 0.374175i | −0.0246545 | + | 0.0142343i | −0.512277 | − | 0.858821i | \(-0.671198\pi\) |
0.487622 | + | 0.873055i | \(0.337864\pi\) | |||||||
\(692\) | −18.2199 | + | 2.61963i | −0.692617 | + | 0.0995833i | ||||
\(693\) | 8.36829 | − | 4.31170i | 0.317885 | − | 0.163788i | ||||
\(694\) | 21.5982 | − | 6.34180i | 0.819856 | − | 0.240731i | ||||
\(695\) | −0.614891 | + | 3.19036i | −0.0233241 | + | 0.121017i | ||||
\(696\) | −2.14601 | − | 2.25067i | −0.0813443 | − | 0.0853114i | ||||
\(697\) | −29.7744 | + | 1.41833i | −1.12779 | + | 0.0537231i | ||||
\(698\) | 14.9954 | + | 10.6782i | 0.567585 | + | 0.404175i | ||||
\(699\) | −17.5725 | + | 15.2266i | −0.664652 | + | 0.575924i | ||||
\(700\) | 6.63677 | + | 5.75348i | 0.250846 | + | 0.217461i | ||||
\(701\) | −19.2362 | − | 2.76575i | −0.726541 | − | 0.104461i | −0.230886 | − | 0.972981i | \(-0.574163\pi\) |
−0.495654 | + | 0.868520i | \(0.665072\pi\) | |||||||
\(702\) | −8.86225 | + | 3.54791i | −0.334484 | + | 0.133907i | ||||
\(703\) | 0.113676 | + | 0.220501i | 0.00428738 | + | 0.00831635i | ||||
\(704\) | −1.04170 | − | 5.40484i | −0.0392605 | − | 0.203703i | ||||
\(705\) | 1.94230 | − | 2.72758i | 0.0731513 | − | 0.102727i | ||||
\(706\) | −20.3540 | − | 31.6714i | −0.766032 | − | 1.19197i | ||||
\(707\) | −26.7272 | + | 2.54590i | −1.00518 | + | 0.0957485i | ||||
\(708\) | −4.74695 | + | 5.47827i | −0.178401 | + | 0.205886i | ||||
\(709\) | 4.13013 | − | 4.33156i | 0.155110 | − | 0.162675i | −0.641594 | − | 0.767045i | \(-0.721726\pi\) |
0.796704 | + | 0.604370i | \(0.206575\pi\) | |||||||
\(710\) | 2.34267 | + | 3.28983i | 0.0879190 | + | 0.123465i | ||||
\(711\) | −4.23339 | + | 10.5745i | −0.158765 | + | 0.396575i | ||||
\(712\) | −5.36238 | − | 9.28792i | −0.200964 | − | 0.348080i | ||||
\(713\) | −2.54029 | − | 1.00676i | −0.0951347 | − | 0.0377035i | ||||
\(714\) | −23.9045 | + | 9.56349i | −0.894602 | + | 0.357905i | ||||
\(715\) | 3.41136 | + | 23.7265i | 0.127577 | + | 0.887321i | ||||
\(716\) | 13.6582 | − | 1.30420i | 0.510431 | − | 0.0487403i | ||||
\(717\) | −0.124553 | − | 0.0302163i | −0.00465153 | − | 0.00112845i | ||||
\(718\) | 4.14982 | − | 1.43627i | 0.154870 | − | 0.0536010i | ||||
\(719\) | −11.5660 | + | 2.80589i | −0.431340 | + | 0.104642i | −0.445550 | − | 0.895257i | \(-0.646992\pi\) |
0.0142102 | + | 0.999899i | \(0.495477\pi\) | |||||||
\(720\) | −5.08503 | + | 3.26795i | −0.189508 | + | 0.121789i | ||||
\(721\) | −9.12452 | − | 31.1019i | −0.339815 | − | 1.15829i | ||||
\(722\) | −34.2525 | − | 39.5295i | −1.27475 | − | 1.47113i | ||||
\(723\) | 12.8752 | + | 0.613319i | 0.478832 | + | 0.0228096i | ||||
\(724\) | −4.72301 | − | 3.71421i | −0.175529 | − | 0.138038i | ||||
\(725\) | −4.75169 | − | 3.73677i | −0.176473 | − | 0.138780i | ||||
\(726\) | 2.84226 | + | 0.135394i | 0.105486 | + | 0.00502493i | ||||
\(727\) | 27.4700 | + | 31.7021i | 1.01881 | + | 1.17576i | 0.984326 | + | 0.176360i | \(0.0564321\pi\) |
0.0344803 | + | 0.999405i | \(0.489022\pi\) | |||||||
\(728\) | 6.32499 | − | 26.0457i | 0.234420 | − | 0.965317i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | −5.20248 | + | 1.26211i | −0.192552 | + | 0.0467127i | ||||
\(731\) | −6.03445 | + | 2.08854i | −0.223192 | + | 0.0772476i | ||||
\(732\) | −13.7159 | − | 3.32745i | −0.506956 | − | 0.122986i | ||||
\(733\) | −7.03373 | + | 0.671640i | −0.259797 | + | 0.0248076i | −0.224142 | − | 0.974557i | \(-0.571958\pi\) |
−0.0356552 | + | 0.999364i | \(0.511352\pi\) | |||||||
\(734\) | 1.21832 | + | 8.47361i | 0.0449691 | + | 0.312767i | ||||
\(735\) | 8.23097 | − | 1.99278i | 0.303604 | − | 0.0735048i | ||||
\(736\) | 2.16420 | − | 23.5275i | 0.0797735 | − | 0.867237i | ||||
\(737\) | −11.8290 | − | 20.4885i | −0.435728 | − | 0.754704i | ||||
\(738\) | −3.34566 | + | 8.35706i | −0.123156 | + | 0.307628i | ||||
\(739\) | −11.8352 | − | 16.6202i | −0.435365 | − | 0.611384i | 0.537358 | − | 0.843354i | \(-0.319422\pi\) |
−0.972723 | + | 0.231970i | \(0.925483\pi\) | |||||||
\(740\) | −0.0276327 | + | 0.0289803i | −0.00101580 | + | 0.00106534i | ||||
\(741\) | −25.6591 | + | 29.6121i | −0.942609 | + | 1.08783i | ||||
\(742\) | −24.5237 | − | 34.4555i | −0.900292 | − | 1.26490i | ||||
\(743\) | 29.2944 | + | 45.5829i | 1.07471 | + | 1.67228i | 0.629986 | + | 0.776607i | \(0.283061\pi\) |
0.444721 | + | 0.895669i | \(0.353303\pi\) | |||||||
\(744\) | 0.601255 | − | 0.844344i | 0.0220431 | − | 0.0309552i | ||||
\(745\) | −2.55220 | − | 13.2421i | −0.0935054 | − | 0.485152i | ||||
\(746\) | 8.25562 | + | 16.0137i | 0.302260 | + | 0.586302i | ||||
\(747\) | −3.79490 | + | 1.51925i | −0.138848 | + | 0.0555864i | ||||
\(748\) | −18.7682 | − | 2.69845i | −0.686232 | − | 0.0986653i | ||||
\(749\) | 21.0786 | − | 24.3146i | 0.770196 | − | 0.888438i | ||||
\(750\) | −13.3800 | + | 11.5938i | −0.488567 | + | 0.423346i | ||||
\(751\) | 14.2271 | + | 10.1310i | 0.519153 | + | 0.369687i | 0.809394 | − | 0.587266i | \(-0.199796\pi\) |
−0.290241 | + | 0.956954i | \(0.593735\pi\) | |||||||
\(752\) | −13.8126 | + | 0.657976i | −0.503694 | + | 0.0239939i | ||||
\(753\) | 15.3258 | + | 16.0733i | 0.558504 | + | 0.585742i | ||||
\(754\) | 3.08821 | − | 16.0232i | 0.112466 | − | 0.583529i | ||||
\(755\) | 24.3811 | − | 7.15893i | 0.887318 | − | 0.260540i | ||||
\(756\) | −0.118757 | + | 2.48094i | −0.00431915 | + | 0.0902309i | ||||
\(757\) | 42.2554 | − | 6.07542i | 1.53580 | − | 0.220815i | 0.678102 | − | 0.734968i | \(-0.262803\pi\) |
0.857698 | + | 0.514153i | \(0.171894\pi\) | |||||||
\(758\) | 39.3484 | − | 22.7178i | 1.42920 | − | 0.825148i | ||||
\(759\) | −16.1447 | − | 5.52503i | −0.586015 | − | 0.200546i | ||||
\(760\) | −7.74341 | + | 13.4120i | −0.280883 | + | 0.486504i | ||||
\(761\) | 20.4870 | + | 26.0514i | 0.742654 | + | 0.944361i | 0.999757 | − | 0.0220225i | \(-0.00701054\pi\) |
−0.257103 | + | 0.966384i | \(0.582768\pi\) | |||||||
\(762\) | −9.37368 | − | 4.28081i | −0.339572 | − | 0.155078i | ||||
\(763\) | −2.41824 | + | 1.90082i | −0.0875462 | + | 0.0688144i | ||||
\(764\) | −11.3173 | − | 9.80647i | −0.409444 | − | 0.354785i | ||||
\(765\) | −1.61911 | − | 6.67406i | −0.0585390 | − | 0.241301i | ||||
\(766\) | −2.04400 | − | 42.9089i | −0.0738529 | − | 1.55036i | ||||
\(767\) | 42.8027 | + | 4.08716i | 1.54551 | + | 0.147579i | ||||
\(768\) | 17.3344 | + | 5.99951i | 0.625503 | + | 0.216489i | ||||
\(769\) | −32.3498 | − | 20.7899i | −1.16656 | − | 0.749704i | −0.193694 | − | 0.981062i | \(-0.562047\pi\) |
−0.972869 | + | 0.231357i | \(0.925683\pi\) | |||||||
\(770\) | 18.7319 | + | 5.50488i | 0.675050 | + | 0.198382i | ||||
\(771\) | 1.60856 | − | 11.1878i | 0.0579310 | − | 0.402919i | ||||
\(772\) | −0.746264 | + | 15.6660i | −0.0268586 | + | 0.563832i | ||||
\(773\) | −8.54994 | + | 1.64787i | −0.307520 | + | 0.0592696i | −0.340677 | − | 0.940181i | \(-0.610656\pi\) |
0.0331566 | + | 0.999450i | \(0.489444\pi\) | |||||||
\(774\) | −0.183309 | + | 1.91970i | −0.00658890 | + | 0.0690020i | ||||
\(775\) | 0.923277 | − | 1.79091i | 0.0331651 | − | 0.0643313i | ||||
\(776\) | 13.2423 | + | 3.88830i | 0.475372 | + | 0.139582i | ||||
\(777\) | −0.0176321 | − | 0.0915979i | −0.000632547 | − | 0.00328606i | ||||
\(778\) | 12.3351 | + | 42.0095i | 0.442235 | + | 1.50611i | ||||
\(779\) | 3.51222 | + | 36.7816i | 0.125838 | + | 1.31784i | ||||
\(780\) | −5.87147 | − | 2.35058i | −0.210232 | − | 0.0841643i | ||||
\(781\) | −6.00041 | − | 3.46434i | −0.214712 | − | 0.123964i | ||||
\(782\) | 42.5192 | + | 19.2397i | 1.52048 | + | 0.688011i | ||||
\(783\) | − | 1.70940i | − | 0.0610890i | ||||||
\(784\) | −27.4812 | − | 21.6321i | −0.981473 | − | 0.772574i | ||||
\(785\) | 8.45272 | − | 18.5089i | 0.301691 | − | 0.660610i | ||||
\(786\) | 7.51253 | + | 7.16318i | 0.267963 | + | 0.255502i | ||||
\(787\) | 2.01447 | + | 5.82043i | 0.0718082 | + | 0.207476i | 0.975194 | − | 0.221353i | \(-0.0710474\pi\) |
−0.903386 | + | 0.428829i | \(0.858926\pi\) | |||||||
\(788\) | 0.150881 | − | 0.143864i | 0.00537490 | − | 0.00512495i | ||||
\(789\) | −3.48870 | − | 1.79855i | −0.124201 | − | 0.0640301i | ||||
\(790\) | −21.4888 | + | 9.81359i | −0.764536 | + | 0.349152i | ||||
\(791\) | 0.853266 | + | 17.9999i | 0.0303387 | + | 0.640002i | ||||
\(792\) | 3.49955 | − | 5.44540i | 0.124351 | − | 0.193494i | ||||
\(793\) | 31.1149 | + | 77.7212i | 1.10492 | + | 2.75996i | ||||
\(794\) | −26.0983 | + | 33.1867i | −0.926196 | + | 1.17775i | ||||
\(795\) | 10.0269 | − | 5.16923i | 0.355617 | − | 0.183334i | ||||
\(796\) | −3.66852 | + | 10.5995i | −0.130027 | + | 0.375689i | ||||
\(797\) | −3.87582 | − | 8.48685i | −0.137288 | − | 0.300620i | 0.828483 | − | 0.560014i | \(-0.189204\pi\) |
−0.965771 | + | 0.259394i | \(0.916477\pi\) | |||||||
\(798\) | 13.2509 | + | 29.0333i | 0.469078 | + | 1.02777i | ||||
\(799\) | 4.42636 | − | 15.0748i | 0.156593 | − | 0.533308i | ||||
\(800\) | 17.1070 | + | 3.29711i | 0.604825 | + | 0.116570i | ||||
\(801\) | 1.38985 | − | 5.72903i | 0.0491079 | − | 0.202425i | ||||
\(802\) | −29.1208 | + | 20.7369i | −1.02829 | + | 0.732244i | ||||
\(803\) | 7.21920 | − | 5.67724i | 0.254760 | − | 0.200346i | ||||
\(804\) | 6.24208 | 0.220141 | ||||||||
\(805\) | −12.9409 | − | 8.25745i | −0.456105 | − | 0.291037i | ||||
\(806\) | 5.43905 | 0.191582 | ||||||||
\(807\) | 14.0895 | − | 11.0801i | 0.495974 | − | 0.390038i | ||||
\(808\) | −15.0379 | + | 10.7084i | −0.529031 | + | 0.376721i | ||||
\(809\) | −9.26509 | + | 38.1912i | −0.325743 | + | 1.34273i | 0.539756 | + | 0.841822i | \(0.318517\pi\) |
−0.865499 | + | 0.500910i | \(0.832999\pi\) | |||||||
\(810\) | −2.03651 | − | 0.392504i | −0.0715555 | − | 0.0137912i | ||||
\(811\) | −13.7018 | + | 46.6640i | −0.481134 | + | 1.63859i | 0.258812 | + | 0.965928i | \(0.416669\pi\) |
−0.739946 | + | 0.672666i | \(0.765149\pi\) | |||||||
\(812\) | −3.45794 | − | 2.46359i | −0.121350 | − | 0.0864552i | ||||
\(813\) | 12.4519 | + | 27.2657i | 0.436705 | + | 0.956252i | ||||
\(814\) | 0.0703353 | − | 0.203221i | 0.00246525 | − | 0.00712288i | ||||
\(815\) | 25.7179 | − | 13.2585i | 0.900858 | − | 0.464425i | ||||
\(816\) | −17.5320 | + | 22.2937i | −0.613742 | + | 0.780436i | ||||
\(817\) | 2.94185 | + | 7.34838i | 0.102922 | + | 0.257087i | ||||
\(818\) | −32.2033 | + | 50.1093i | −1.12596 | + | 1.75203i | ||||
\(819\) | 12.3960 | − | 7.96236i | 0.433150 | − | 0.278227i | ||||
\(820\) | −5.42503 | + | 2.47753i | −0.189450 | + | 0.0865190i | ||||
\(821\) | −11.8372 | − | 6.10252i | −0.413122 | − | 0.212979i | 0.239120 | − | 0.970990i | \(-0.423141\pi\) |
−0.652242 | + | 0.758011i | \(0.726171\pi\) | |||||||
\(822\) | −25.8861 | + | 24.6824i | −0.902882 | + | 0.860896i | ||||
\(823\) | −10.2306 | − | 29.5593i | −0.356615 | − | 1.03037i | −0.970526 | − | 0.240997i | \(-0.922526\pi\) |
0.613911 | − | 0.789376i | \(-0.289596\pi\) | |||||||
\(824\) | −16.1300 | − | 15.3799i | −0.561915 | − | 0.535785i | ||||
\(825\) | 5.22696 | − | 11.4454i | 0.181979 | − | 0.398479i | ||||
\(826\) | 17.5177 | − | 30.3254i | 0.609520 | − | 1.05516i | ||||
\(827\) | − | 13.2275i | − | 0.459964i | −0.973195 | − | 0.229982i | \(-0.926133\pi\) | ||
0.973195 | − | 0.229982i | \(-0.0738668\pi\) | |||||||
\(828\) | 3.39231 | − | 2.96013i | 0.117891 | − | 0.102872i | ||||
\(829\) | −35.2963 | − | 20.3783i | −1.22589 | − | 0.707768i | −0.259723 | − | 0.965683i | \(-0.583631\pi\) |
−0.966168 | + | 0.257915i | \(0.916964\pi\) | |||||||
\(830\) | −7.87057 | − | 3.15090i | −0.273191 | − | 0.109369i | ||||
\(831\) | −2.92663 | − | 30.6490i | −0.101524 | − | 1.06320i | ||||
\(832\) | −2.42698 | − | 8.26553i | −0.0841403 | − | 0.286556i | ||||
\(833\) | 33.4380 | − | 21.4674i | 1.15856 | − | 0.743802i | ||||
\(834\) | 4.41736 | + | 1.29705i | 0.152961 | + | 0.0449133i | ||||
\(835\) | −11.2616 | + | 21.8445i | −0.389725 | + | 0.755960i | ||||
\(836\) | −2.23414 | + | 23.3970i | −0.0772693 | + | 0.809201i | ||||
\(837\) | 0.559473 | − | 0.107830i | 0.0193382 | − | 0.00372714i | ||||
\(838\) | 2.60465 | − | 54.6783i | 0.0899761 | − | 1.88883i | ||||
\(839\) | −5.40807 | + | 37.6140i | −0.186707 | + | 1.29858i | 0.653754 | + | 0.756707i | \(0.273193\pi\) |
−0.840461 | + | 0.541871i | \(0.817716\pi\) | |||||||
\(840\) | 4.21536 | − | 4.01747i | 0.145444 | − | 0.138616i | ||||
\(841\) | −21.9382 | − | 14.0988i | −0.756488 | − | 0.486166i | ||||
\(842\) | −32.1412 | − | 11.1242i | −1.10766 | − | 0.383364i | ||||
\(843\) | 12.9722 | + | 1.23870i | 0.446787 | + | 0.0426630i | ||||
\(844\) | −0.861532 | − | 18.0858i | −0.0296551 | − | 0.622538i | ||||
\(845\) | 5.13650 | + | 21.1729i | 0.176701 | + | 0.728371i | ||||
\(846\) | −3.58579 | − | 3.10711i | −0.123282 | − | 0.106825i | ||||
\(847\) | −4.34703 | + | 0.623983i | −0.149366 | + | 0.0214403i | ||||
\(848\) | −42.3773 | − | 19.3531i | −1.45524 | − | 0.664587i | ||||
\(849\) | −5.27884 | − | 6.71260i | −0.181169 | − | 0.230376i | ||||
\(850\) | −17.2065 | + | 29.8025i | −0.590177 | + | 1.02222i | ||||
\(851\) | −0.0975993 | + | 0.138071i | −0.00334566 | + | 0.00473302i | ||||
\(852\) | 1.58318 | − | 0.914050i | 0.0542389 | − | 0.0313148i | ||||
\(853\) | −25.3241 | + | 3.64106i | −0.867081 | + | 0.124667i | −0.561478 | − | 0.827492i | \(-0.689767\pi\) |
−0.305603 | + | 0.952159i | \(0.598858\pi\) | |||||||
\(854\) | 68.1106 | + | 3.26030i | 2.33070 | + | 0.111565i | ||||
\(855\) | −8.16800 | + | 2.39834i | −0.279340 | + | 0.0820215i | ||||
\(856\) | 4.18751 | − | 21.7268i | 0.143126 | − | 0.742608i | ||||
\(857\) | −13.0460 | − | 13.6823i | −0.445644 | − | 0.467378i | 0.462145 | − | 0.886804i | \(-0.347080\pi\) |
−0.907790 | + | 0.419426i | \(0.862231\pi\) | |||||||
\(858\) | 33.9271 | − | 1.61614i | 1.15825 | − | 0.0551743i | ||||
\(859\) | −22.2585 | − | 15.8502i | −0.759450 | − | 0.540802i | 0.133451 | − | 0.991055i | \(-0.457394\pi\) |
−0.892901 | + | 0.450254i | \(0.851334\pi\) | |||||||
\(860\) | −0.965571 | + | 0.836672i | −0.0329257 | + | 0.0285303i | ||||
\(861\) | 2.63244 | − | 13.6414i | 0.0897133 | − | 0.464898i | ||||
\(862\) | −11.6368 | − | 1.67312i | −0.396351 | − | 0.0569867i | ||||
\(863\) | −49.7784 | + | 19.9283i | −1.69448 | + | 0.678366i | −0.999185 | − | 0.0403626i | \(-0.987149\pi\) |
−0.695291 | + | 0.718728i | \(0.744724\pi\) | |||||||
\(864\) | 2.25747 | + | 4.37889i | 0.0768008 | + | 0.148973i | ||||
\(865\) | 4.48937 | + | 23.2931i | 0.152643 | + | 0.791989i | ||||
\(866\) | −26.2291 | + | 36.8336i | −0.891301 | + | 1.25166i | ||||
\(867\) | −8.23042 | − | 12.8068i | −0.279520 | − | 0.434941i | ||||
\(868\) | 0.588186 | − | 1.28716i | 0.0199643 | − | 0.0436890i | ||||
\(869\) | 26.5401 | − | 30.6290i | 0.900313 | − | 1.03902i | ||||
\(870\) | 2.44652 | − | 2.56584i | 0.0829448 | − | 0.0869900i | ||||
\(871\) | −21.4771 | − | 30.1604i | −0.727724 | − | 1.02195i | ||||
\(872\) | −0.786063 | + | 1.96349i | −0.0266194 | + | 0.0664922i | ||||
\(873\) | 3.79318 | + | 6.56998i | 0.128380 | + | 0.222360i | ||||
\(874\) | 21.3139 | − | 53.7799i | 0.720953 | − | 1.81913i | ||||
\(875\) | 16.8955 | − | 21.4741i | 0.571171 | − | 0.725957i | ||||
\(876\) | 0.344856 | + | 2.39852i | 0.0116516 | + | 0.0810386i | ||||
\(877\) | −18.5076 | + | 1.76726i | −0.624956 | + | 0.0596761i | −0.402730 | − | 0.915319i | \(-0.631939\pi\) |
−0.222227 | + | 0.974995i | \(0.571332\pi\) | |||||||
\(878\) | 8.77646 | + | 2.12915i | 0.296191 | + | 0.0718552i | ||||
\(879\) | 16.7549 | − | 5.79892i | 0.565128 | − | 0.195593i | ||||
\(880\) | 20.9008 | − | 5.07048i | 0.704566 | − | 0.170926i | ||||
\(881\) | −22.0841 | + | 14.1926i | −0.744032 | + | 0.478161i | −0.856921 | − | 0.515447i | \(-0.827626\pi\) |
0.112889 | + | 0.993608i | \(0.463990\pi\) | |||||||
\(882\) | −1.70228 | − | 11.8787i | −0.0573189 | − | 0.399975i | ||||
\(883\) | 13.2820 | + | 15.3282i | 0.446974 | + | 0.515836i | 0.933864 | − | 0.357627i | \(-0.116414\pi\) |
−0.486890 | + | 0.873463i | \(0.661869\pi\) | |||||||
\(884\) | −29.6414 | − | 1.41199i | −0.996947 | − | 0.0474904i | ||||
\(885\) | 7.34303 | + | 5.77463i | 0.246833 | + | 0.194112i | ||||
\(886\) | 29.7342 | + | 23.3832i | 0.998940 | + | 0.785575i | ||||
\(887\) | −45.4959 | − | 2.16723i | −1.52760 | − | 0.0727686i | −0.733138 | − | 0.680080i | \(-0.761945\pi\) |
−0.794464 | + | 0.607312i | \(0.792248\pi\) | |||||||
\(888\) | −0.0420025 | − | 0.0484735i | −0.00140951 | − | 0.00162666i | ||||
\(889\) | 15.4549 | + | 3.75311i | 0.518342 | + | 0.125875i | ||||
\(890\) | 10.2857 | − | 6.61019i | 0.344776 | − | 0.221574i | ||||
\(891\) | 3.45777 | − | 0.838847i | 0.115840 | − | 0.0281024i | ||||
\(892\) | −3.63587 | + | 1.25839i | −0.121738 | + | 0.0421339i | ||||
\(893\) | −18.9259 | − | 4.59139i | −0.633333 | − | 0.153645i | ||||
\(894\) | −19.0225 | + | 1.81642i | −0.636206 | + | 0.0607503i | ||||
\(895\) | −2.51636 | − | 17.5017i | −0.0841126 | − | 0.585016i | ||||
\(896\) | −32.7475 | − | 4.71611i | −1.09402 | − | 0.157554i | ||||
\(897\) | −25.9746 | − | 6.20596i | −0.867267 | − | 0.207211i | ||||
\(898\) | −12.0414 | − | 20.8564i | −0.401828 | − | 0.695987i | ||||
\(899\) | −0.361986 | + | 0.904198i | −0.0120729 | + | 0.0301567i | ||||
\(900\) | 1.92569 | + | 2.70426i | 0.0641898 | + | 0.0901420i | ||||
\(901\) | 36.5265 | − | 38.3079i | 1.21687 | − | 1.27622i | ||||
\(902\) | 20.9748 | − | 24.2062i | 0.698383 | − | 0.805977i | ||||
\(903\) | −0.282225 | − | 2.96283i | −0.00939185 | − | 0.0985970i | ||||
\(904\) | 6.69893 | + | 10.4237i | 0.222803 | + | 0.346688i | ||||
\(905\) | −4.49154 | + | 6.30748i | −0.149304 | + | 0.209668i | ||||
\(906\) | −6.81414 | − | 35.3551i | −0.226385 | − | 1.17460i | ||||
\(907\) | 24.2102 | + | 46.9613i | 0.803887 | + | 1.55932i | 0.828741 | + | 0.559633i | \(0.189058\pi\) |
−0.0248531 | + | 0.999691i | \(0.507912\pi\) | |||||||
\(908\) | −9.03083 | + | 3.61540i | −0.299699 | + | 0.119981i | ||||
\(909\) | −10.0444 | − | 1.44416i | −0.333151 | − | 0.0478999i | ||||
\(910\) | 30.0024 | + | 5.78968i | 0.994569 | + | 0.191926i | ||||
\(911\) | −0.387686 | + | 0.335932i | −0.0128446 | + | 0.0111299i | −0.661259 | − | 0.750157i | \(-0.729978\pi\) |
0.648415 | + | 0.761287i | \(0.275432\pi\) | |||||||
\(912\) | 28.6370 | + | 20.3923i | 0.948266 | + | 0.675257i | ||||
\(913\) | 14.5279 | − | 0.692049i | 0.480803 | − | 0.0229035i | ||||
\(914\) | −1.27385 | − | 1.33597i | −0.0421352 | − | 0.0441901i | ||||
\(915\) | −3.44223 | + | 17.8600i | −0.113797 | + | 0.590433i | ||||
\(916\) | 23.9014 | − | 7.01807i | 0.789723 | − | 0.231884i | ||||
\(917\) | −13.4752 | − | 8.66438i | −0.444990 | − | 0.286123i | ||||
\(918\) | −9.63222 | + | 1.38490i | −0.317911 | + | 0.0457087i | ||||
\(919\) | 1.14587 | − | 0.661568i | 0.0377987 | − | 0.0218231i | −0.480982 | − | 0.876731i | \(-0.659720\pi\) |
0.518780 | + | 0.854908i | \(0.326386\pi\) | |||||||
\(920\) | −10.5451 | − | 0.465635i | −0.347662 | − | 0.0153515i | ||||
\(921\) | −0.156058 | + | 0.270300i | −0.00514228 | + | 0.00890669i | ||||
\(922\) | 14.0843 | + | 17.9096i | 0.463841 | + | 0.589822i | ||||
\(923\) | −9.86374 | − | 4.50462i | −0.324669 | − | 0.148271i | ||||
\(924\) | 3.28645 | − | 8.20366i | 0.108116 | − | 0.269881i | ||||
\(925\) | −0.0942253 | − | 0.0816467i | −0.00309811 | − | 0.00268453i | ||||
\(926\) | −5.89079 | − | 24.2822i | −0.193583 | − | 0.797962i | ||||
\(927\) | −0.582919 | − | 12.2370i | −0.0191456 | − | 0.401915i | ||||
\(928\) | −8.38331 | − | 0.800509i | −0.275196 | − | 0.0262780i | ||||
\(929\) | 16.3007 | + | 5.64174i | 0.534810 | + | 0.185100i | 0.581106 | − | 0.813828i | \(-0.302620\pi\) |
−0.0462954 | + | 0.998928i | \(0.514742\pi\) | |||||||
\(930\) | 0.994104 | + | 0.638872i | 0.0325979 | + | 0.0209494i | ||||
\(931\) | −28.5521 | − | 40.1351i | −0.935757 | − | 1.31537i | ||||
\(932\) | −3.10648 | + | 21.6061i | −0.101756 | + | 0.707730i | ||||
\(933\) | −0.236850 | + | 4.97210i | −0.00775413 | + | 0.162779i | ||||
\(934\) | −24.9261 | + | 4.80410i | −0.815605 | + | 0.157195i | ||||
\(935\) | −2.32275 | + | 24.3249i | −0.0759620 | + | 0.795510i | ||||
\(936\) | 4.64204 | − | 9.00430i | 0.151730 | − | 0.294315i | ||||
\(937\) | 30.7981 | + | 9.04313i | 1.00613 | + | 0.295426i | 0.742969 | − | 0.669326i | \(-0.233417\pi\) |
0.263160 | + | 0.964752i | \(0.415235\pi\) | |||||||
\(938\) | −29.6140 | + | 5.70053i | −0.966931 | + | 0.186129i | ||||
\(939\) | 4.55779 | + | 15.5224i | 0.148738 | + | 0.506555i | ||||
\(940\) | −0.298806 | − | 3.12924i | −0.00974599 | − | 0.102065i | ||||
\(941\) | 19.4618 | + | 7.79135i | 0.634438 | + | 0.253991i | 0.666511 | − | 0.745495i | \(-0.267787\pi\) |
−0.0320734 | + | 0.999486i | \(0.510211\pi\) | |||||||
\(942\) | −24.9693 | − | 14.4160i | −0.813544 | − | 0.469700i | ||||
\(943\) | −21.1382 | + | 13.6886i | −0.688354 | + | 0.445763i | ||||
\(944\) | − | 38.5786i | − | 1.25562i | ||||||
\(945\) | 3.20089 | 0.000740396i | 0.104125 | 2.40851e-5i | ||||||
\(946\) | 2.85036 | − | 6.24142i | 0.0926733 | − | 0.202926i | ||||
\(947\) | −27.0185 | − | 25.7621i | −0.877984 | − | 0.837156i | 0.109644 | − | 0.993971i | \(-0.465029\pi\) |
−0.987628 | + | 0.156815i | \(0.949877\pi\) | |||||||
\(948\) | 3.49737 | + | 10.1050i | 0.113589 | + | 0.328195i | ||||
\(949\) | 10.4026 | − | 9.91886i | 0.337683 | − | 0.321980i | ||||
\(950\) | 37.9148 | + | 19.5465i | 1.23012 | + | 0.634171i | ||||
\(951\) | 3.43371 | − | 1.56812i | 0.111346 | − | 0.0508499i | ||||
\(952\) | 12.5256 | − | 24.2825i | 0.405957 | − | 0.787000i | ||||
\(953\) | −18.9767 | + | 29.5283i | −0.614714 | + | 0.956514i | 0.384725 | + | 0.923031i | \(0.374296\pi\) |
−0.999439 | + | 0.0334829i | \(0.989340\pi\) | |||||||
\(954\) | −5.94095 | − | 14.8398i | −0.192345 | − | 0.480455i | ||||
\(955\) | −11.9295 | + | 15.1696i | −0.386029 | + | 0.490876i | ||||
\(956\) | −0.106945 | + | 0.0551338i | −0.00345883 | + | 0.00178315i | ||||
\(957\) | −1.98928 | + | 5.74766i | −0.0643044 | + | 0.185795i | ||||
\(958\) | −2.96181 | − | 6.48546i | −0.0956917 | − | 0.209536i | ||||
\(959\) | 32.0306 | − | 44.9586i | 1.03432 | − | 1.45179i | ||||
\(960\) | 0.527288 | − | 1.79578i | 0.0170181 | − | 0.0579584i | ||||
\(961\) | 30.1210 | + | 5.80535i | 0.971646 | + | 0.187269i | ||||
\(962\) | 0.0793468 | − | 0.327072i | 0.00255824 | − | 0.0105452i | ||||
\(963\) | 9.90740 | − | 7.05503i | 0.319262 | − | 0.227345i | ||||
\(964\) | 9.51176 | − | 7.48013i | 0.306353 | − | 0.240919i | ||||
\(965\) | 20.2120 | 0.650646 | ||||||||
\(966\) | −13.3906 | + | 17.1416i | −0.430836 | + | 0.551522i | ||||
\(967\) | 13.9106 | 0.447334 | 0.223667 | − | 0.974666i | \(-0.428197\pi\) | ||||
0.223667 | + | 0.974666i | \(0.428197\pi\) | |||||||
\(968\) | −2.37363 | + | 1.86664i | −0.0762914 | + | 0.0599962i | ||||
\(969\) | −32.5364 | + | 23.1691i | −1.04522 | + | 0.744297i | ||||
\(970\) | −3.70943 | + | 15.2905i | −0.119103 | + | 0.490948i | ||||
\(971\) | −6.67266 | − | 1.28605i | −0.214136 | − | 0.0412713i | 0.0810549 | − | 0.996710i | \(-0.474171\pi\) |
−0.295191 | + | 0.955438i | \(0.595383\pi\) | |||||||
\(972\) | −0.264485 | + | 0.900754i | −0.00848337 | + | 0.0288917i | ||||
\(973\) | −7.07303 | − | 0.677043i | −0.226751 | − | 0.0217050i | ||||
\(974\) | 13.7297 | + | 30.0639i | 0.439929 | + | 0.963310i | ||||
\(975\) | 6.44066 | − | 18.6091i | 0.206266 | − | 0.595967i | ||||
\(976\) | 66.7644 | − | 34.4194i | 2.13708 | − | 1.10174i | ||||
\(977\) | −34.3824 | + | 43.7208i | −1.09999 | + | 1.39875i | −0.191174 | + | 0.981556i | \(0.561229\pi\) |
−0.908817 | + | 0.417196i | \(0.863013\pi\) | |||||||
\(978\) | −15.2379 | − | 38.0623i | −0.487253 | − | 1.21710i | ||||
\(979\) | −11.3402 | + | 17.6458i | −0.362436 | + | 0.563961i | ||||
\(980\) | 4.61463 | − | 6.47400i | 0.147409 | − | 0.206804i | ||||
\(981\) | −1.05751 | + | 0.482950i | −0.0337638 | + | 0.0154194i | ||||
\(982\) | −50.2931 | − | 25.9279i | −1.60492 | − | 0.827393i | ||||
\(983\) | 4.22245 | − | 4.02610i | 0.134675 | − | 0.128413i | −0.619748 | − | 0.784801i | \(-0.712765\pi\) |
0.754423 | + | 0.656388i | \(0.227917\pi\) | |||||||
\(984\) | −3.12447 | − | 9.02757i | −0.0996045 | − | 0.287788i | ||||
\(985\) | −0.194442 | − | 0.185400i | −0.00619545 | − | 0.00590735i | ||||
\(986\) | 6.91029 | − | 15.1314i | 0.220068 | − | 0.481882i | ||||
\(987\) | 6.34082 | + | 3.66283i | 0.201831 | + | 0.116589i | ||||
\(988\) | 36.7838i | 1.17025i | ||||||||
\(989\) | −3.51873 | + | 4.08944i | −0.111889 | + | 0.130037i | ||||
\(990\) | 6.39074 | + | 3.68969i | 0.203111 | + | 0.117266i | ||||
\(991\) | −0.247637 | − | 0.0991388i | −0.00786644 | − | 0.00314925i | 0.367726 | − | 0.929934i | \(-0.380136\pi\) |
−0.375592 | + | 0.926785i | \(0.622561\pi\) | |||||||
\(992\) | −0.266822 | − | 2.79428i | −0.00847160 | − | 0.0887186i | ||||
\(993\) | −2.91902 | − | 9.94129i | −0.0926325 | − | 0.315477i | ||||
\(994\) | −6.67626 | + | 5.78231i | −0.211758 | + | 0.183404i | ||||
\(995\) | 13.8692 | + | 4.07237i | 0.439684 | + | 0.129103i | ||||
\(996\) | −1.75843 | + | 3.41088i | −0.0557180 | + | 0.108078i | ||||
\(997\) | 1.95062 | − | 20.4279i | 0.0617769 | − | 0.646957i | −0.910561 | − | 0.413376i | \(-0.864350\pi\) |
0.972337 | − | 0.233581i | \(-0.0750444\pi\) | |||||||
\(998\) | 30.4272 | − | 5.86437i | 0.963158 | − | 0.185633i | ||||
\(999\) | 0.00167756 | − | 0.0352164i | 5.30758e−5 | − | 0.00111420i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.bf.a.388.9 | yes | 640 | |
7.5 | odd | 6 | inner | 483.2.bf.a.250.24 | yes | 640 | |
23.15 | odd | 22 | inner | 483.2.bf.a.199.24 | yes | 640 | |
161.61 | even | 66 | inner | 483.2.bf.a.61.9 | ✓ | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.9 | ✓ | 640 | 161.61 | even | 66 | inner | |
483.2.bf.a.199.24 | yes | 640 | 23.15 | odd | 22 | inner | |
483.2.bf.a.250.24 | yes | 640 | 7.5 | odd | 6 | inner | |
483.2.bf.a.388.9 | yes | 640 | 1.1 | even | 1 | trivial |