Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(13,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.r (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 192.13 |
Dual form | 192.2.r.a.133.2 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37379 | + | 0.335725i | −0.971414 | + | 0.237393i | ||||
\(3\) | −0.831470 | + | 0.555570i | −0.480049 | + | 0.320759i | ||||
\(4\) | 1.77458 | − | 0.922428i | 0.887289 | − | 0.461214i | ||||
\(5\) | −1.61488 | + | 0.321219i | −0.722194 | + | 0.143653i | −0.542484 | − | 0.840066i | \(-0.682516\pi\) |
−0.179710 | + | 0.983720i | \(0.557516\pi\) | |||||||
\(6\) | 0.955743 | − | 1.04238i | 0.390180 | − | 0.425550i | ||||
\(7\) | 0.265757 | + | 0.641595i | 0.100447 | + | 0.242500i | 0.966112 | − | 0.258123i | \(-0.0831041\pi\) |
−0.865665 | + | 0.500624i | \(0.833104\pi\) | |||||||
\(8\) | −2.12821 | + | 1.86299i | −0.752435 | + | 0.658666i | ||||
\(9\) | 0.382683 | − | 0.923880i | 0.127561 | − | 0.307960i | ||||
\(10\) | 2.11065 | − | 0.983439i | 0.667447 | − | 0.310991i | ||||
\(11\) | −1.87615 | + | 2.80786i | −0.565681 | + | 0.846601i | −0.998493 | − | 0.0548830i | \(-0.982521\pi\) |
0.432812 | + | 0.901484i | \(0.357521\pi\) | |||||||
\(12\) | −0.963034 | + | 1.75287i | −0.278004 | + | 0.506011i | ||||
\(13\) | −5.98870 | − | 1.19123i | −1.66097 | − | 0.330387i | −0.726698 | − | 0.686957i | \(-0.758946\pi\) |
−0.934269 | + | 0.356570i | \(0.883946\pi\) | |||||||
\(14\) | −0.580493 | − | 0.792193i | −0.155143 | − | 0.211722i | ||||
\(15\) | 1.16426 | − | 1.16426i | 0.300611 | − | 0.300611i | ||||
\(16\) | 2.29825 | − | 3.27384i | 0.574563 | − | 0.818460i | ||||
\(17\) | −2.58283 | − | 2.58283i | −0.626428 | − | 0.626428i | 0.320739 | − | 0.947168i | \(-0.396069\pi\) |
−0.947168 | + | 0.320739i | \(0.896069\pi\) | |||||||
\(18\) | −0.215556 | + | 1.39769i | −0.0508070 | + | 0.329439i | ||||
\(19\) | −0.689900 | + | 3.46836i | −0.158274 | + | 0.795697i | 0.817332 | + | 0.576167i | \(0.195452\pi\) |
−0.975606 | + | 0.219530i | \(0.929548\pi\) | |||||||
\(20\) | −2.56942 | + | 2.05963i | −0.574540 | + | 0.460548i | ||||
\(21\) | −0.577420 | − | 0.385820i | −0.126003 | − | 0.0841928i | ||||
\(22\) | 1.63476 | − | 4.48727i | 0.348533 | − | 0.956689i | ||||
\(23\) | −3.97235 | − | 1.64540i | −0.828292 | − | 0.343090i | −0.0720660 | − | 0.997400i | \(-0.522959\pi\) |
−0.756227 | + | 0.654310i | \(0.772959\pi\) | |||||||
\(24\) | 0.734520 | − | 2.73139i | 0.149933 | − | 0.557542i | ||||
\(25\) | −2.11476 | + | 0.875961i | −0.422952 | + | 0.175192i | ||||
\(26\) | 8.62712 | − | 0.374064i | 1.69192 | − | 0.0733600i | ||||
\(27\) | 0.195090 | + | 0.980785i | 0.0375451 | + | 0.188752i | ||||
\(28\) | 1.06343 | + | 0.893418i | 0.200970 | + | 0.168840i | ||||
\(29\) | 0.359397 | + | 0.537876i | 0.0667384 | + | 0.0998811i | 0.863338 | − | 0.504627i | \(-0.168370\pi\) |
−0.796599 | + | 0.604508i | \(0.793370\pi\) | |||||||
\(30\) | −1.20857 | + | 1.99032i | −0.220654 | + | 0.363380i | ||||
\(31\) | 5.16071i | 0.926892i | 0.886125 | + | 0.463446i | \(0.153387\pi\) | ||||
−0.886125 | + | 0.463446i | \(0.846613\pi\) | |||||||
\(32\) | −2.05820 | + | 5.26914i | −0.363842 | + | 0.931461i | ||||
\(33\) | − | 3.37698i | − | 0.587857i | ||||||
\(34\) | 4.41538 | + | 2.68114i | 0.757231 | + | 0.459811i | ||||
\(35\) | −0.635257 | − | 0.950729i | −0.107378 | − | 0.160703i | ||||
\(36\) | −0.173111 | − | 1.99249i | −0.0288518 | − | 0.332082i | ||||
\(37\) | −1.24608 | − | 6.26446i | −0.204854 | − | 1.02987i | −0.937161 | − | 0.348897i | \(-0.886556\pi\) |
0.732307 | − | 0.680975i | \(-0.238444\pi\) | |||||||
\(38\) | −0.216640 | − | 4.99641i | −0.0351436 | − | 0.810524i | ||||
\(39\) | 5.64123 | − | 2.33668i | 0.903320 | − | 0.374168i | ||||
\(40\) | 2.83836 | − | 3.69211i | 0.448785 | − | 0.583775i | ||||
\(41\) | 8.38439 | + | 3.47293i | 1.30942 | + | 0.542381i | 0.924716 | − | 0.380658i | \(-0.124303\pi\) |
0.384707 | + | 0.923039i | \(0.374303\pi\) | |||||||
\(42\) | 0.922781 | + | 0.336180i | 0.142388 | + | 0.0518737i | ||||
\(43\) | 7.83860 | + | 5.23759i | 1.19538 | + | 0.798724i | 0.983911 | − | 0.178661i | \(-0.0571766\pi\) |
0.211465 | + | 0.977386i | \(0.432177\pi\) | |||||||
\(44\) | −0.739328 | + | 6.71338i | −0.111458 | + | 1.01208i | ||||
\(45\) | −0.321219 | + | 1.61488i | −0.0478844 | + | 0.240731i | ||||
\(46\) | 6.00956 | + | 0.926814i | 0.886062 | + | 0.136651i | ||||
\(47\) | 4.59493 | + | 4.59493i | 0.670240 | + | 0.670240i | 0.957771 | − | 0.287531i | \(-0.0928345\pi\) |
−0.287531 | + | 0.957771i | \(0.592834\pi\) | |||||||
\(48\) | −0.0920786 | + | 3.99894i | −0.0132904 | + | 0.577197i | ||||
\(49\) | 4.60873 | − | 4.60873i | 0.658390 | − | 0.658390i | ||||
\(50\) | 2.61114 | − | 1.91336i | 0.369271 | − | 0.270590i | ||||
\(51\) | 3.58249 | + | 0.712601i | 0.501649 | + | 0.0997841i | ||||
\(52\) | −11.7262 | + | 3.41022i | −1.62614 | + | 0.472913i | ||||
\(53\) | 1.12664 | − | 1.68613i | 0.154756 | − | 0.231608i | −0.745988 | − | 0.665959i | \(-0.768022\pi\) |
0.900744 | + | 0.434351i | \(0.143022\pi\) | |||||||
\(54\) | −0.597286 | − | 1.28189i | −0.0812804 | − | 0.174444i | ||||
\(55\) | 2.12781 | − | 5.13700i | 0.286914 | − | 0.692672i | ||||
\(56\) | −1.76087 | − | 0.870345i | −0.235306 | − | 0.116305i | ||||
\(57\) | −1.35329 | − | 3.26713i | −0.179247 | − | 0.432741i | ||||
\(58\) | −0.674314 | − | 0.618269i | −0.0885417 | − | 0.0811826i | ||||
\(59\) | 0.695355 | − | 0.138315i | 0.0905276 | − | 0.0180071i | −0.149619 | − | 0.988744i | \(-0.547805\pi\) |
0.240146 | + | 0.970737i | \(0.422805\pi\) | |||||||
\(60\) | 0.992124 | − | 3.14002i | 0.128083 | − | 0.405374i | ||||
\(61\) | −10.3401 | + | 6.90906i | −1.32392 | + | 0.884615i | −0.998148 | − | 0.0608339i | \(-0.980624\pi\) |
−0.325771 | + | 0.945449i | \(0.605624\pi\) | |||||||
\(62\) | −1.73258 | − | 7.08972i | −0.220038 | − | 0.900395i | ||||
\(63\) | 0.694457 | 0.0874934 | ||||||||
\(64\) | 1.05854 | − | 7.92966i | 0.132318 | − | 0.991207i | ||||
\(65\) | 10.0536 | 1.24700 | ||||||||
\(66\) | 1.13374 | + | 4.63925i | 0.139553 | + | 0.571053i | ||||
\(67\) | −6.33942 | + | 4.23586i | −0.774483 | + | 0.517493i | −0.878880 | − | 0.477043i | \(-0.841709\pi\) |
0.104397 | + | 0.994536i | \(0.466709\pi\) | |||||||
\(68\) | −6.96591 | − | 2.20096i | −0.844740 | − | 0.266905i | ||||
\(69\) | 4.21703 | − | 0.838819i | 0.507670 | − | 0.100982i | ||||
\(70\) | 1.19189 | + | 1.09283i | 0.142458 | + | 0.130618i | ||||
\(71\) | −5.26523 | − | 12.7114i | −0.624868 | − | 1.50856i | −0.845924 | − | 0.533304i | \(-0.820950\pi\) |
0.221056 | − | 0.975261i | \(-0.429050\pi\) | |||||||
\(72\) | 0.906747 | + | 2.67914i | 0.106861 | + | 0.315740i | ||||
\(73\) | −2.49830 | + | 6.03143i | −0.292404 | + | 0.705925i | −1.00000 | 0.000692070i | \(-0.999780\pi\) | |
0.707596 | + | 0.706617i | \(0.249780\pi\) | |||||||
\(74\) | 3.81498 | + | 8.18769i | 0.443483 | + | 0.951800i | ||||
\(75\) | 1.27170 | − | 1.90323i | 0.146843 | − | 0.219766i | ||||
\(76\) | 1.97503 | + | 6.79126i | 0.226552 | + | 0.779011i | ||||
\(77\) | −2.30011 | − | 0.457520i | −0.262122 | − | 0.0521393i | ||||
\(78\) | −6.96537 | + | 5.10399i | −0.788673 | + | 0.577914i | ||||
\(79\) | 1.63586 | − | 1.63586i | 0.184049 | − | 0.184049i | −0.609069 | − | 0.793118i | \(-0.708457\pi\) |
0.793118 | + | 0.609069i | \(0.208457\pi\) | |||||||
\(80\) | −2.65977 | + | 6.02509i | −0.297372 | + | 0.673625i | ||||
\(81\) | −0.707107 | − | 0.707107i | −0.0785674 | − | 0.0785674i | ||||
\(82\) | −12.6843 | − | 1.95621i | −1.40075 | − | 0.216028i | ||||
\(83\) | 0.236508 | − | 1.18901i | 0.0259602 | − | 0.130511i | −0.965632 | − | 0.259913i | \(-0.916306\pi\) |
0.991592 | + | 0.129403i | \(0.0413060\pi\) | |||||||
\(84\) | −1.38057 | − | 0.152039i | −0.150632 | − | 0.0165888i | ||||
\(85\) | 5.00060 | + | 3.34129i | 0.542391 | + | 0.362414i | ||||
\(86\) | −12.5269 | − | 4.56371i | −1.35082 | − | 0.492118i | ||||
\(87\) | −0.597656 | − | 0.247557i | −0.0640755 | − | 0.0265409i | ||||
\(88\) | −1.23817 | − | 9.47096i | −0.131989 | − | 1.00961i | ||||
\(89\) | −5.01170 | + | 2.07592i | −0.531239 | + | 0.220047i | −0.632146 | − | 0.774849i | \(-0.717826\pi\) |
0.100907 | + | 0.994896i | \(0.467826\pi\) | |||||||
\(90\) | −0.100868 | − | 2.32633i | −0.0106324 | − | 0.245217i | ||||
\(91\) | −0.827256 | − | 4.15890i | −0.0867200 | − | 0.435971i | ||||
\(92\) | −8.56701 | + | 0.744315i | −0.893173 | + | 0.0776002i | ||||
\(93\) | −2.86714 | − | 4.29098i | −0.297308 | − | 0.444954i | ||||
\(94\) | −7.85509 | − | 4.76983i | −0.810191 | − | 0.491970i | ||||
\(95\) | − | 5.82258i | − | 0.597384i | ||||||
\(96\) | −1.21605 | − | 5.52460i | −0.124112 | − | 0.563852i | ||||
\(97\) | 10.7336i | 1.08984i | 0.838489 | + | 0.544918i | \(0.183439\pi\) | ||||
−0.838489 | + | 0.544918i | \(0.816561\pi\) | |||||||
\(98\) | −4.78415 | + | 7.87868i | −0.483272 | + | 0.795866i | ||||
\(99\) | 1.87615 | + | 2.80786i | 0.188560 | + | 0.282200i | ||||
\(100\) | −2.94479 | + | 3.50517i | −0.294479 | + | 0.350517i | ||||
\(101\) | 0.234855 | + | 1.18069i | 0.0233689 | + | 0.117483i | 0.990709 | − | 0.135998i | \(-0.0434242\pi\) |
−0.967340 | + | 0.253482i | \(0.918424\pi\) | |||||||
\(102\) | −5.16081 | + | 0.223768i | −0.510996 | + | 0.0221563i | ||||
\(103\) | −9.87997 | + | 4.09242i | −0.973503 | + | 0.403238i | −0.812015 | − | 0.583637i | \(-0.801629\pi\) |
−0.161488 | + | 0.986875i | \(0.551629\pi\) | |||||||
\(104\) | 14.9645 | − | 8.62171i | 1.46739 | − | 0.845428i | ||||
\(105\) | 1.05639 | + | 0.437573i | 0.103093 | + | 0.0427027i | ||||
\(106\) | −0.981683 | + | 2.69462i | −0.0953494 | + | 0.261725i | ||||
\(107\) | 5.99130 | + | 4.00326i | 0.579201 | + | 0.387010i | 0.810383 | − | 0.585901i | \(-0.199259\pi\) |
−0.231182 | + | 0.972911i | \(0.574259\pi\) | |||||||
\(108\) | 1.25091 | + | 1.56052i | 0.120369 | + | 0.150161i | ||||
\(109\) | 1.93530 | − | 9.72943i | 0.185368 | − | 0.931910i | −0.770349 | − | 0.637623i | \(-0.779918\pi\) |
0.955717 | − | 0.294287i | \(-0.0950822\pi\) | |||||||
\(110\) | −1.19854 | + | 7.77149i | −0.114277 | + | 0.740983i | ||||
\(111\) | 4.51643 | + | 4.51643i | 0.428680 | + | 0.428680i | ||||
\(112\) | 2.71126 | + | 0.604500i | 0.256190 | + | 0.0571199i | ||||
\(113\) | 13.3228 | − | 13.3228i | 1.25331 | − | 1.25331i | 0.299078 | − | 0.954229i | \(-0.403321\pi\) |
0.954229 | − | 0.299078i | \(-0.0966789\pi\) | |||||||
\(114\) | 2.95598 | + | 4.03400i | 0.276853 | + | 0.377819i | ||||
\(115\) | 6.94338 | + | 1.38113i | 0.647474 | + | 0.128791i | ||||
\(116\) | 1.13393 | + | 0.622985i | 0.105283 | + | 0.0578427i | ||||
\(117\) | −3.39233 | + | 5.07698i | −0.313621 | + | 0.469367i | ||||
\(118\) | −0.908834 | + | 0.423463i | −0.0836649 | + | 0.0389829i | ||||
\(119\) | 0.970725 | − | 2.34354i | 0.0889862 | − | 0.214832i | ||||
\(120\) | −0.308785 | + | 4.64679i | −0.0281881 | + | 0.424192i | ||||
\(121\) | −0.154609 | − | 0.373259i | −0.0140554 | − | 0.0339327i | ||||
\(122\) | 11.8856 | − | 12.9630i | 1.07607 | − | 1.17362i | ||||
\(123\) | −8.90083 | + | 1.77048i | −0.802560 | + | 0.159639i | ||||
\(124\) | 4.76039 | + | 9.15809i | 0.427495 | + | 0.822421i | ||||
\(125\) | 9.97882 | − | 6.66763i | 0.892533 | − | 0.596371i | ||||
\(126\) | −0.954036 | + | 0.233147i | −0.0849923 | + | 0.0207703i | ||||
\(127\) | −8.02791 | −0.712362 | −0.356181 | − | 0.934417i | \(-0.615921\pi\) | ||||
−0.356181 | + | 0.934417i | \(0.615921\pi\) | |||||||
\(128\) | 1.20797 | + | 11.2490i | 0.106770 | + | 0.994284i | ||||
\(129\) | −9.42741 | −0.830037 | ||||||||
\(130\) | −13.8116 | + | 3.37526i | −1.21135 | + | 0.296030i | ||||
\(131\) | −18.3161 | + | 12.2384i | −1.60028 | + | 1.06928i | −0.649077 | + | 0.760723i | \(0.724845\pi\) |
−0.951207 | + | 0.308553i | \(0.900155\pi\) | |||||||
\(132\) | −3.11502 | − | 5.99272i | −0.271128 | − | 0.521599i | ||||
\(133\) | −2.40863 | + | 0.479106i | −0.208855 | + | 0.0415438i | ||||
\(134\) | 7.28692 | − | 7.94747i | 0.629494 | − | 0.686557i | ||||
\(135\) | −0.630093 | − | 1.52118i | −0.0542298 | − | 0.130922i | ||||
\(136\) | 10.3086 | + | 0.685018i | 0.883954 | + | 0.0587398i | ||||
\(137\) | −4.78724 | + | 11.5574i | −0.409001 | + | 0.987417i | 0.576400 | + | 0.817168i | \(0.304457\pi\) |
−0.985401 | + | 0.170249i | \(0.945543\pi\) | |||||||
\(138\) | −5.51168 | + | 2.56812i | −0.469185 | + | 0.218613i | ||||
\(139\) | 9.66684 | − | 14.4674i | 0.819931 | − | 1.22711i | −0.151185 | − | 0.988505i | \(-0.548309\pi\) |
0.971116 | − | 0.238608i | \(-0.0766910\pi\) | |||||||
\(140\) | −2.00429 | − | 1.10116i | −0.169394 | − | 0.0930654i | ||||
\(141\) | −6.37336 | − | 1.26774i | −0.536734 | − | 0.106763i | ||||
\(142\) | 11.5008 | + | 15.6951i | 0.965128 | + | 1.31710i | ||||
\(143\) | 14.5805 | − | 14.5805i | 1.21928 | − | 1.21928i | ||||
\(144\) | −2.14513 | − | 3.37615i | −0.178761 | − | 0.281346i | ||||
\(145\) | −0.753158 | − | 0.753158i | −0.0625464 | − | 0.0625464i | ||||
\(146\) | 1.40723 | − | 9.12463i | 0.116463 | − | 0.755160i | ||||
\(147\) | −1.27155 | + | 6.39249i | −0.104875 | + | 0.527244i | ||||
\(148\) | −7.98978 | − | 9.96736i | −0.656756 | − | 0.819312i | ||||
\(149\) | 13.1041 | + | 8.75588i | 1.07353 | + | 0.717310i | 0.961058 | − | 0.276345i | \(-0.0891233\pi\) |
0.112472 | + | 0.993655i | \(0.464123\pi\) | |||||||
\(150\) | −1.10808 | + | 3.04157i | −0.0904744 | + | 0.248344i | ||||
\(151\) | −10.1774 | − | 4.21560i | −0.828221 | − | 0.343061i | −0.0720230 | − | 0.997403i | \(-0.522946\pi\) |
−0.756198 | + | 0.654342i | \(0.772946\pi\) | |||||||
\(152\) | −4.99327 | − | 8.66667i | −0.405008 | − | 0.702960i | ||||
\(153\) | −3.37463 | + | 1.39782i | −0.272823 | + | 0.113007i | ||||
\(154\) | 3.31346 | − | 0.143669i | 0.267006 | − | 0.0115771i | ||||
\(155\) | −1.65772 | − | 8.33391i | −0.133151 | − | 0.669396i | ||||
\(156\) | 7.85539 | − | 9.35025i | 0.628935 | − | 0.748619i | ||||
\(157\) | −7.70974 | − | 11.5384i | −0.615304 | − | 0.920868i | 0.384694 | − | 0.923044i | \(-0.374307\pi\) |
−0.999998 | + | 0.00217668i | \(0.999307\pi\) | |||||||
\(158\) | −1.69813 | + | 2.79653i | −0.135096 | + | 0.222480i | ||||
\(159\) | 2.02789i | 0.160822i | ||||||||
\(160\) | 1.63119 | − | 9.17013i | 0.128957 | − | 0.724963i | ||||
\(161\) | − | 2.98592i | − | 0.235323i | ||||||
\(162\) | 1.20881 | + | 0.734020i | 0.0949728 | + | 0.0576701i | ||||
\(163\) | 6.39288 | + | 9.56762i | 0.500729 | + | 0.749394i | 0.992620 | − | 0.121263i | \(-0.0386943\pi\) |
−0.491891 | + | 0.870657i | \(0.663694\pi\) | |||||||
\(164\) | 18.0823 | − | 1.57102i | 1.41199 | − | 0.122676i | ||||
\(165\) | 1.08475 | + | 5.45341i | 0.0844477 | + | 0.424547i | ||||
\(166\) | 0.0742674 | + | 1.71285i | 0.00576427 | + | 0.132943i | ||||
\(167\) | −3.84468 | + | 1.59252i | −0.297511 | + | 0.123233i | −0.526446 | − | 0.850209i | \(-0.676476\pi\) |
0.228935 | + | 0.973442i | \(0.426476\pi\) | |||||||
\(168\) | 1.94765 | − | 0.254622i | 0.150264 | − | 0.0196445i | ||||
\(169\) | 22.4351 | + | 9.29292i | 1.72578 | + | 0.714840i | ||||
\(170\) | −7.99151 | − | 2.91140i | −0.612921 | − | 0.223294i | ||||
\(171\) | 2.94034 | + | 1.96467i | 0.224853 | + | 0.150242i | ||||
\(172\) | 18.7415 | + | 2.06396i | 1.42903 | + | 0.157375i | ||||
\(173\) | −4.05408 | + | 20.3813i | −0.308226 | + | 1.54956i | 0.447266 | + | 0.894401i | \(0.352398\pi\) |
−0.755493 | + | 0.655157i | \(0.772602\pi\) | |||||||
\(174\) | 0.904163 | + | 0.139443i | 0.0685444 | + | 0.0105711i | ||||
\(175\) | −1.12402 | − | 1.12402i | −0.0849683 | − | 0.0849683i | ||||
\(176\) | 4.88061 | + | 12.5954i | 0.367890 | + | 0.949413i | ||||
\(177\) | −0.501323 | + | 0.501323i | −0.0376818 | + | 0.0376818i | ||||
\(178\) | 6.18807 | − | 4.53442i | 0.463816 | − | 0.339869i | ||||
\(179\) | −13.4402 | − | 2.67342i | −1.00457 | − | 0.199821i | −0.334718 | − | 0.942318i | \(-0.608641\pi\) |
−0.669849 | + | 0.742497i | \(0.733641\pi\) | |||||||
\(180\) | 0.919579 | + | 3.16202i | 0.0685414 | + | 0.235683i | ||||
\(181\) | −2.24643 | + | 3.36202i | −0.166976 | + | 0.249897i | −0.905516 | − | 0.424313i | \(-0.860516\pi\) |
0.738540 | + | 0.674210i | \(0.235516\pi\) | |||||||
\(182\) | 2.53272 | + | 5.43571i | 0.187738 | + | 0.402921i | ||||
\(183\) | 4.75904 | − | 11.4893i | 0.351799 | − | 0.849317i | ||||
\(184\) | 11.5194 | − | 3.89869i | 0.849218 | − | 0.287415i | ||||
\(185\) | 4.02452 | + | 9.71606i | 0.295889 | + | 0.714339i | ||||
\(186\) | 5.37942 | + | 4.93232i | 0.394438 | + | 0.361655i | ||||
\(187\) | 12.0980 | − | 2.40644i | 0.884693 | − | 0.175976i | ||||
\(188\) | 12.3926 | + | 3.91557i | 0.903821 | + | 0.285572i | ||||
\(189\) | −0.577420 | + | 0.385820i | −0.0420011 | + | 0.0280643i | ||||
\(190\) | 1.95478 | + | 7.99898i | 0.141815 | + | 0.580307i | ||||
\(191\) | −13.0062 | −0.941095 | −0.470548 | − | 0.882375i | \(-0.655944\pi\) | ||||
−0.470548 | + | 0.882375i | \(0.655944\pi\) | |||||||
\(192\) | 3.52533 | + | 7.18137i | 0.254419 | + | 0.518270i | ||||
\(193\) | 10.3102 | 0.742143 | 0.371072 | − | 0.928604i | \(-0.378990\pi\) | ||||
0.371072 | + | 0.928604i | \(0.378990\pi\) | |||||||
\(194\) | −3.60355 | − | 14.7457i | −0.258720 | − | 1.05868i | ||||
\(195\) | −8.35930 | + | 5.58551i | −0.598622 | + | 0.399987i | ||||
\(196\) | 3.92733 | − | 12.4298i | 0.280523 | − | 0.887841i | ||||
\(197\) | −0.0110939 | + | 0.00220671i | −0.000790407 | + | 0.000157222i | −0.195486 | − | 0.980707i | \(-0.562628\pi\) |
0.194695 | + | 0.980864i | \(0.437628\pi\) | |||||||
\(198\) | −3.52010 | − | 3.22753i | −0.250162 | − | 0.229370i | ||||
\(199\) | 6.00443 | + | 14.4960i | 0.425643 | + | 1.02759i | 0.980654 | + | 0.195749i | \(0.0627139\pi\) |
−0.555011 | + | 0.831843i | \(0.687286\pi\) | |||||||
\(200\) | 2.86874 | − | 5.80400i | 0.202851 | − | 0.410405i | ||||
\(201\) | 2.91771 | − | 7.04398i | 0.205800 | − | 0.496844i | ||||
\(202\) | −0.719028 | − | 1.54317i | −0.0505907 | − | 0.108577i | ||||
\(203\) | −0.249586 | + | 0.373532i | −0.0175175 | + | 0.0262168i | ||||
\(204\) | 7.01473 | − | 2.04002i | 0.491129 | − | 0.142830i | ||||
\(205\) | −14.6553 | − | 2.91512i | −1.02357 | − | 0.203601i | ||||
\(206\) | 12.1990 | − | 8.93906i | 0.849948 | − | 0.622814i | ||||
\(207\) | −3.04031 | + | 3.04031i | −0.211316 | + | 0.211316i | ||||
\(208\) | −17.6634 | + | 16.8683i | −1.22474 | + | 1.16961i | ||||
\(209\) | −8.44431 | − | 8.44431i | −0.584105 | − | 0.584105i | ||||
\(210\) | −1.59816 | − | 0.246474i | −0.110284 | − | 0.0170083i | ||||
\(211\) | 3.96580 | − | 19.9374i | 0.273017 | − | 1.37255i | −0.564182 | − | 0.825651i | \(-0.690808\pi\) |
0.837199 | − | 0.546899i | \(-0.184192\pi\) | |||||||
\(212\) | 0.443970 | − | 4.03141i | 0.0304920 | − | 0.276879i | ||||
\(213\) | 11.4400 | + | 7.64393i | 0.783853 | + | 0.523754i | ||||
\(214\) | −9.57476 | − | 3.48820i | −0.654517 | − | 0.238448i | ||||
\(215\) | −14.3408 | − | 5.94014i | −0.978032 | − | 0.405114i | ||||
\(216\) | −2.24238 | − | 1.72386i | −0.152575 | − | 0.117294i | ||||
\(217\) | −3.31109 | + | 1.37150i | −0.224771 | + | 0.0931033i | ||||
\(218\) | 0.607716 | + | 14.0159i | 0.0411597 | + | 0.949276i | ||||
\(219\) | −1.27362 | − | 6.40293i | −0.0860634 | − | 0.432670i | ||||
\(220\) | −0.962539 | − | 11.0788i | −0.0648944 | − | 0.746929i | ||||
\(221\) | 12.3911 | + | 18.5445i | 0.833513 | + | 1.24744i | ||||
\(222\) | −7.72088 | − | 4.68833i | −0.518192 | − | 0.314660i | ||||
\(223\) | 8.77050i | 0.587316i | 0.955911 | + | 0.293658i | \(0.0948727\pi\) | ||||
−0.955911 | + | 0.293658i | \(0.905127\pi\) | |||||||
\(224\) | −3.92763 | + | 0.0797823i | −0.262426 | + | 0.00533068i | ||||
\(225\) | 2.28900i | 0.152600i | ||||||||
\(226\) | −13.8299 | + | 22.7755i | −0.919952 | + | 1.51501i | ||||
\(227\) | −12.1072 | − | 18.1197i | −0.803581 | − | 1.20264i | −0.976032 | − | 0.217626i | \(-0.930169\pi\) |
0.172451 | − | 0.985018i | \(-0.444831\pi\) | |||||||
\(228\) | −5.41520 | − | 4.54946i | −0.358631 | − | 0.301295i | ||||
\(229\) | −4.79701 | − | 24.1162i | −0.316995 | − | 1.59364i | −0.730351 | − | 0.683072i | \(-0.760643\pi\) |
0.413356 | − | 0.910570i | \(-0.364357\pi\) | |||||||
\(230\) | −10.0024 | + | 0.433695i | −0.659539 | + | 0.0285970i | ||||
\(231\) | 2.16666 | − | 0.897458i | 0.142555 | − | 0.0590484i | ||||
\(232\) | −1.76693 | − | 0.475160i | −0.116005 | − | 0.0311958i | ||||
\(233\) | −11.1411 | − | 4.61479i | −0.729877 | − | 0.302325i | −0.0133757 | − | 0.999911i | \(-0.504258\pi\) |
−0.716502 | + | 0.697586i | \(0.754258\pi\) | |||||||
\(234\) | 2.95587 | − | 8.11357i | 0.193231 | − | 0.530401i | ||||
\(235\) | −8.89622 | − | 5.94427i | −0.580326 | − | 0.387761i | ||||
\(236\) | 1.10638 | − | 0.886866i | 0.0720190 | − | 0.0577300i | ||||
\(237\) | −0.451334 | + | 2.26901i | −0.0293173 | + | 0.147388i | ||||
\(238\) | −0.546785 | + | 3.54542i | −0.0354428 | + | 0.229815i | ||||
\(239\) | 17.4364 | + | 17.4364i | 1.12787 | + | 1.12787i | 0.990523 | + | 0.137346i | \(0.0438573\pi\) |
0.137346 | + | 0.990523i | \(0.456143\pi\) | |||||||
\(240\) | −1.13584 | − | 6.48737i | −0.0733181 | − | 0.418758i | ||||
\(241\) | −14.4104 | + | 14.4104i | −0.928257 | + | 0.928257i | −0.997593 | − | 0.0693361i | \(-0.977912\pi\) |
0.0693361 | + | 0.997593i | \(0.477912\pi\) | |||||||
\(242\) | 0.337712 | + | 0.460872i | 0.0217090 | + | 0.0296260i | ||||
\(243\) | 0.980785 | + | 0.195090i | 0.0629174 | + | 0.0125150i | ||||
\(244\) | −11.9763 | + | 21.7987i | −0.766702 | + | 1.39552i | ||||
\(245\) | −5.96211 | + | 8.92293i | −0.380905 | + | 0.570065i | ||||
\(246\) | 11.6334 | − | 5.42049i | 0.741721 | − | 0.345598i | ||||
\(247\) | 8.26321 | − | 19.9492i | 0.525776 | − | 1.26933i | ||||
\(248\) | −9.61435 | − | 10.9831i | −0.610512 | − | 0.697426i | ||||
\(249\) | 0.463928 | + | 1.12002i | 0.0294002 | + | 0.0709785i | ||||
\(250\) | −11.4703 | + | 12.5100i | −0.725444 | + | 0.791204i | ||||
\(251\) | −13.6787 | + | 2.72086i | −0.863390 | + | 0.171739i | −0.606871 | − | 0.794800i | \(-0.707576\pi\) |
−0.256519 | + | 0.966539i | \(0.582576\pi\) | |||||||
\(252\) | 1.23237 | − | 0.640587i | 0.0776319 | − | 0.0403532i | ||||
\(253\) | 12.0728 | − | 8.06678i | 0.759010 | − | 0.507154i | ||||
\(254\) | 11.0286 | − | 2.69517i | 0.691998 | − | 0.169110i | ||||
\(255\) | −6.01417 | −0.376622 | ||||||||
\(256\) | −5.43607 | − | 15.0482i | −0.339754 | − | 0.940514i | ||||
\(257\) | −26.7265 | −1.66715 | −0.833576 | − | 0.552405i | \(-0.813710\pi\) | ||||
−0.833576 | + | 0.552405i | \(0.813710\pi\) | |||||||
\(258\) | 12.9512 | − | 3.16501i | 0.806309 | − | 0.197045i | ||||
\(259\) | 3.68809 | − | 2.46431i | 0.229167 | − | 0.153124i | ||||
\(260\) | 17.8410 | − | 9.27377i | 1.10645 | − | 0.575135i | ||||
\(261\) | 0.634468 | − | 0.126204i | 0.0392726 | − | 0.00781181i | ||||
\(262\) | 21.0537 | − | 22.9621i | 1.30070 | − | 1.41861i | ||||
\(263\) | 8.51490 | + | 20.5568i | 0.525051 | + | 1.26759i | 0.934731 | + | 0.355356i | \(0.115640\pi\) |
−0.409680 | + | 0.912229i | \(0.634360\pi\) | |||||||
\(264\) | 6.29128 | + | 7.18692i | 0.387202 | + | 0.442325i | ||||
\(265\) | −1.27776 | + | 3.08479i | −0.0784923 | + | 0.189497i | ||||
\(266\) | 3.14809 | − | 1.46683i | 0.193022 | − | 0.0899369i | ||||
\(267\) | 3.01376 | − | 4.51041i | 0.184439 | − | 0.276033i | ||||
\(268\) | −7.34251 | + | 13.3645i | −0.448515 | + | 0.816368i | ||||
\(269\) | −9.60906 | − | 1.91136i | −0.585875 | − | 0.116538i | −0.106752 | − | 0.994286i | \(-0.534045\pi\) |
−0.479123 | + | 0.877748i | \(0.659045\pi\) | |||||||
\(270\) | 1.37631 | + | 1.87824i | 0.0837596 | + | 0.114306i | ||||
\(271\) | −14.7436 | + | 14.7436i | −0.895613 | + | 0.895613i | −0.995044 | − | 0.0994315i | \(-0.968298\pi\) |
0.0994315 | + | 0.995044i | \(0.468298\pi\) | |||||||
\(272\) | −14.3918 | + | 2.51978i | −0.872629 | + | 0.152784i | ||||
\(273\) | 2.99840 | + | 2.99840i | 0.181471 | + | 0.181471i | ||||
\(274\) | 2.69653 | − | 17.4846i | 0.162903 | − | 1.05628i | ||||
\(275\) | 1.50803 | − | 7.58138i | 0.0909376 | − | 0.457174i | ||||
\(276\) | 6.70969 | − | 5.37845i | 0.403876 | − | 0.323745i | ||||
\(277\) | 25.6474 | + | 17.1370i | 1.54100 | + | 1.02966i | 0.979321 | + | 0.202311i | \(0.0648453\pi\) |
0.561681 | + | 0.827354i | \(0.310155\pi\) | |||||||
\(278\) | −8.42309 | + | 23.1206i | −0.505184 | + | 1.38668i | ||||
\(279\) | 4.76788 | + | 1.97492i | 0.285445 | + | 0.118235i | ||||
\(280\) | 3.12316 | + | 0.839874i | 0.186644 | + | 0.0501921i | ||||
\(281\) | −10.0189 | + | 4.14996i | −0.597677 | + | 0.247566i | −0.660949 | − | 0.750430i | \(-0.729846\pi\) |
0.0632727 | + | 0.997996i | \(0.479846\pi\) | |||||||
\(282\) | 9.18124 | − | 0.398091i | 0.546735 | − | 0.0237059i | ||||
\(283\) | −4.31446 | − | 21.6903i | −0.256468 | − | 1.28935i | −0.867377 | − | 0.497652i | \(-0.834196\pi\) |
0.610909 | − | 0.791701i | \(-0.290804\pi\) | |||||||
\(284\) | −21.0689 | − | 17.7006i | −1.25021 | − | 1.05033i | ||||
\(285\) | 3.23485 | + | 4.84130i | 0.191616 | + | 0.286774i | ||||
\(286\) | −15.1355 | + | 24.9255i | −0.894979 | + | 1.47388i | ||||
\(287\) | 6.30234i | 0.372015i | ||||||||
\(288\) | 4.08041 | + | 3.91794i | 0.240440 | + | 0.230867i | ||||
\(289\) | − | 3.65798i | − | 0.215175i | ||||||
\(290\) | 1.28753 | + | 0.781824i | 0.0756065 | + | 0.0459103i | ||||
\(291\) | −5.96330 | − | 8.92470i | −0.349575 | − | 0.523175i | ||||
\(292\) | 1.13013 | + | 13.0077i | 0.0661360 | + | 0.761220i | ||||
\(293\) | −0.368420 | − | 1.85217i | −0.0215233 | − | 0.108205i | 0.968530 | − | 0.248896i | \(-0.0800677\pi\) |
−0.990054 | + | 0.140691i | \(0.955068\pi\) | |||||||
\(294\) | −0.399286 | − | 9.20881i | −0.0232868 | − | 0.537069i | ||||
\(295\) | −1.07848 | + | 0.446722i | −0.0627917 | + | 0.0260092i | ||||
\(296\) | 14.3225 | + | 11.0107i | 0.832481 | + | 0.639981i | ||||
\(297\) | −3.11993 | − | 1.29232i | −0.181036 | − | 0.0749877i | ||||
\(298\) | −20.9418 | − | 7.62934i | −1.21313 | − | 0.441956i | ||||
\(299\) | 21.8292 | + | 14.5858i | 1.26241 | + | 0.843518i | ||||
\(300\) | 0.501134 | − | 4.55048i | 0.0289330 | − | 0.262722i | ||||
\(301\) | −1.27724 | + | 6.42113i | −0.0736191 | + | 0.370108i | ||||
\(302\) | 15.3968 | + | 2.37454i | 0.885986 | + | 0.136640i | ||||
\(303\) | −0.851233 | − | 0.851233i | −0.0489021 | − | 0.0489021i | ||||
\(304\) | 9.76930 | + | 10.2298i | 0.560308 | + | 0.586719i | ||||
\(305\) | 14.4787 | − | 14.4787i | 0.829049 | − | 0.829049i | ||||
\(306\) | 4.16674 | − | 3.05325i | 0.238197 | − | 0.174543i | ||||
\(307\) | −2.30606 | − | 0.458704i | −0.131614 | − | 0.0261796i | 0.128844 | − | 0.991665i | \(-0.458873\pi\) |
−0.260458 | + | 0.965485i | \(0.583873\pi\) | |||||||
\(308\) | −4.50375 | + | 1.30978i | −0.256625 | + | 0.0746316i | ||||
\(309\) | 5.94127 | − | 8.89174i | 0.337987 | − | 0.505834i | ||||
\(310\) | 5.07525 | + | 10.8925i | 0.288255 | + | 0.618651i | ||||
\(311\) | −4.33635 | + | 10.4689i | −0.245892 | + | 0.593636i | −0.997847 | − | 0.0655782i | \(-0.979111\pi\) |
0.751955 | + | 0.659214i | \(0.229111\pi\) | |||||||
\(312\) | −7.65252 | + | 15.4825i | −0.433239 | + | 0.876523i | ||||
\(313\) | −9.46949 | − | 22.8614i | −0.535247 | − | 1.29220i | −0.928008 | − | 0.372560i | \(-0.878480\pi\) |
0.392761 | − | 0.919641i | \(-0.371520\pi\) | |||||||
\(314\) | 14.4653 | + | 13.2630i | 0.816323 | + | 0.748474i | ||||
\(315\) | −1.12146 | + | 0.223073i | −0.0631872 | + | 0.0125687i | ||||
\(316\) | 1.39400 | − | 4.41194i | 0.0784187 | − | 0.248191i | ||||
\(317\) | 20.8034 | − | 13.9004i | 1.16844 | − | 0.780724i | 0.188900 | − | 0.981996i | \(-0.439508\pi\) |
0.979535 | + | 0.201273i | \(0.0645077\pi\) | |||||||
\(318\) | −0.680814 | − | 2.78589i | −0.0381782 | − | 0.156225i | ||||
\(319\) | −2.18456 | −0.122312 | ||||||||
\(320\) | 0.837736 | + | 13.1454i | 0.0468309 | + | 0.734852i | ||||
\(321\) | −7.20568 | −0.402182 | ||||||||
\(322\) | 1.00245 | + | 4.10201i | 0.0558642 | + | 0.228596i | ||||
\(323\) | 10.7401 | − | 7.17630i | 0.597594 | − | 0.399300i | ||||
\(324\) | −1.90707 | − | 0.602561i | −0.105948 | − | 0.0334756i | ||||
\(325\) | 13.7081 | − | 2.72671i | 0.760390 | − | 0.151251i | ||||
\(326\) | −11.9945 | − | 10.9976i | −0.664316 | − | 0.609102i | ||||
\(327\) | 3.79623 | + | 9.16492i | 0.209932 | + | 0.506821i | ||||
\(328\) | −24.3138 | + | 8.22891i | −1.34250 | + | 0.454366i | ||||
\(329\) | −1.72695 | + | 4.16922i | −0.0952098 | + | 0.229857i | ||||
\(330\) | −3.32106 | − | 7.12764i | −0.182818 | − | 0.392363i | ||||
\(331\) | −4.46721 | + | 6.68565i | −0.245540 | + | 0.367476i | −0.933684 | − | 0.358097i | \(-0.883426\pi\) |
0.688144 | + | 0.725574i | \(0.258426\pi\) | |||||||
\(332\) | −0.677072 | − | 2.32815i | −0.0371592 | − | 0.127774i | ||||
\(333\) | −6.26446 | − | 1.24608i | −0.343290 | − | 0.0682847i | ||||
\(334\) | 4.74713 | − | 3.47854i | 0.259751 | − | 0.190337i | ||||
\(335\) | 8.87673 | − | 8.87673i | 0.484987 | − | 0.484987i | ||||
\(336\) | −2.59017 | + | 1.00367i | −0.141305 | + | 0.0547547i | ||||
\(337\) | −9.41522 | − | 9.41522i | −0.512880 | − | 0.512880i | 0.402528 | − | 0.915408i | \(-0.368132\pi\) |
−0.915408 | + | 0.402528i | \(0.868132\pi\) | |||||||
\(338\) | −33.9409 | − | 5.23447i | −1.84614 | − | 0.284718i | ||||
\(339\) | −3.67576 | + | 18.4793i | −0.199640 | + | 1.00366i | ||||
\(340\) | 11.9561 | + | 1.31669i | 0.648408 | + | 0.0714077i | ||||
\(341\) | −14.4906 | − | 9.68228i | −0.784708 | − | 0.524325i | ||||
\(342\) | −4.69898 | − | 1.71189i | −0.254092 | − | 0.0925685i | ||||
\(343\) | 8.67291 | + | 3.59244i | 0.468293 | + | 0.193973i | ||||
\(344\) | −26.4397 | + | 3.45655i | −1.42554 | + | 0.186365i | ||||
\(345\) | −6.54053 | + | 2.70917i | −0.352130 | + | 0.145857i | ||||
\(346\) | −1.27305 | − | 29.3605i | −0.0684394 | − | 1.57843i | ||||
\(347\) | 2.70029 | + | 13.5753i | 0.144959 | + | 0.728758i | 0.983066 | + | 0.183252i | \(0.0586624\pi\) |
−0.838107 | + | 0.545506i | \(0.816338\pi\) | |||||||
\(348\) | −1.28894 | + | 0.111985i | −0.0690945 | + | 0.00600304i | ||||
\(349\) | −9.07880 | − | 13.5874i | −0.485977 | − | 0.727316i | 0.504738 | − | 0.863273i | \(-0.331589\pi\) |
−0.990715 | + | 0.135957i | \(0.956589\pi\) | |||||||
\(350\) | 1.92153 | + | 1.16681i | 0.102710 | + | 0.0623684i | ||||
\(351\) | − | 6.10603i | − | 0.325916i | ||||||
\(352\) | −10.9335 | − | 15.6648i | −0.582758 | − | 0.834938i | ||||
\(353\) | − | 9.17429i | − | 0.488298i | −0.969738 | − | 0.244149i | \(-0.921491\pi\) | ||
0.969738 | − | 0.244149i | \(-0.0785086\pi\) | |||||||
\(354\) | 0.520404 | − | 0.857018i | 0.0276592 | − | 0.0455500i | ||||
\(355\) | 12.5858 | + | 18.8360i | 0.667986 | + | 0.999712i | ||||
\(356\) | −6.97877 | + | 8.30681i | −0.369874 | + | 0.440260i | ||||
\(357\) | 0.494871 | + | 2.48789i | 0.0261914 | + | 0.131673i | ||||
\(358\) | 19.3615 | − | 0.839497i | 1.02329 | − | 0.0443688i | ||||
\(359\) | −12.3127 | + | 5.10007i | −0.649837 | + | 0.269171i | −0.683155 | − | 0.730273i | \(-0.739393\pi\) |
0.0333176 | + | 0.999445i | \(0.489393\pi\) | |||||||
\(360\) | −2.32487 | − | 4.03522i | −0.122532 | − | 0.212675i | ||||
\(361\) | 6.00014 | + | 2.48534i | 0.315797 | + | 0.130807i | ||||
\(362\) | 1.95740 | − | 5.37289i | 0.102879 | − | 0.282393i | ||||
\(363\) | 0.335924 | + | 0.224458i | 0.0176315 | + | 0.0117810i | ||||
\(364\) | −5.30432 | − | 6.61720i | −0.278022 | − | 0.346836i | ||||
\(365\) | 2.09703 | − | 10.5425i | 0.109764 | − | 0.551820i | ||||
\(366\) | −2.68065 | + | 17.3816i | −0.140120 | + | 0.908553i | ||||
\(367\) | 10.4810 | + | 10.4810i | 0.547104 | + | 0.547104i | 0.925602 | − | 0.378498i | \(-0.123559\pi\) |
−0.378498 | + | 0.925602i | \(0.623559\pi\) | |||||||
\(368\) | −14.5163 | + | 9.22330i | −0.756712 | + | 0.480798i | ||||
\(369\) | 6.41714 | − | 6.41714i | 0.334063 | − | 0.334063i | ||||
\(370\) | −8.79076 | − | 11.9967i | −0.457010 | − | 0.623677i | ||||
\(371\) | 1.38123 | + | 0.274743i | 0.0717097 | + | 0.0142639i | ||||
\(372\) | −9.04608 | − | 4.96994i | −0.469017 | − | 0.257680i | ||||
\(373\) | 0.531377 | − | 0.795262i | 0.0275137 | − | 0.0411771i | −0.817458 | − | 0.575988i | \(-0.804617\pi\) |
0.844972 | + | 0.534811i | \(0.179617\pi\) | |||||||
\(374\) | −15.8122 | + | 7.36754i | −0.817628 | + | 0.380966i | ||||
\(375\) | −4.59275 | + | 11.0879i | −0.237168 | + | 0.572575i | ||||
\(376\) | −18.3393 | − | 1.21867i | −0.945777 | − | 0.0628480i | ||||
\(377\) | −1.51159 | − | 3.64931i | −0.0778509 | − | 0.187949i | ||||
\(378\) | 0.663723 | − | 0.723888i | 0.0341382 | − | 0.0372328i | ||||
\(379\) | 27.1526 | − | 5.40100i | 1.39474 | − | 0.277431i | 0.560189 | − | 0.828365i | \(-0.310728\pi\) |
0.834549 | + | 0.550934i | \(0.185728\pi\) | |||||||
\(380\) | −5.37091 | − | 10.3326i | −0.275522 | − | 0.530052i | ||||
\(381\) | 6.67497 | − | 4.46007i | 0.341969 | − | 0.228496i | ||||
\(382\) | 17.8677 | − | 4.36650i | 0.914193 | − | 0.223410i | ||||
\(383\) | 11.9365 | 0.609928 | 0.304964 | − | 0.952364i | \(-0.401356\pi\) | ||||
0.304964 | + | 0.952364i | \(0.401356\pi\) | |||||||
\(384\) | −7.25402 | − | 8.68212i | −0.370180 | − | 0.443058i | ||||
\(385\) | 3.86135 | 0.196793 | ||||||||
\(386\) | −14.1640 | + | 3.46138i | −0.720928 | + | 0.176180i | ||||
\(387\) | 7.83860 | − | 5.23759i | 0.398458 | − | 0.266241i | ||||
\(388\) | 9.90102 | + | 19.0477i | 0.502648 | + | 0.967000i | ||||
\(389\) | −11.9468 | + | 2.37636i | −0.605724 | + | 0.120486i | −0.488418 | − | 0.872610i | \(-0.662426\pi\) |
−0.117306 | + | 0.993096i | \(0.537426\pi\) | |||||||
\(390\) | 9.60870 | − | 10.4797i | 0.486556 | − | 0.530661i | ||||
\(391\) | 6.01012 | + | 14.5097i | 0.303945 | + | 0.733787i | ||||
\(392\) | −1.22233 | + | 18.3944i | −0.0617368 | + | 0.929055i | ||||
\(393\) | 8.42997 | − | 20.3517i | 0.425236 | − | 1.02661i | ||||
\(394\) | 0.0144998 | − | 0.00675605i | 0.000730489 | − | 0.000340365i | ||||
\(395\) | −2.11625 | + | 3.16719i | −0.106480 | + | 0.159358i | ||||
\(396\) | 5.91942 | + | 3.25215i | 0.297462 | + | 0.163427i | ||||
\(397\) | 24.0728 | + | 4.78837i | 1.20818 | + | 0.240321i | 0.757782 | − | 0.652508i | \(-0.226283\pi\) |
0.450396 | + | 0.892829i | \(0.351283\pi\) | |||||||
\(398\) | −13.1155 | − | 17.8985i | −0.657419 | − | 0.897172i | ||||
\(399\) | 1.73653 | − | 1.73653i | 0.0869350 | − | 0.0869350i | ||||
\(400\) | −1.99249 | + | 8.93656i | −0.0996245 | + | 0.446828i | ||||
\(401\) | −3.83842 | − | 3.83842i | −0.191681 | − | 0.191681i | 0.604741 | − | 0.796422i | \(-0.293277\pi\) |
−0.796422 | + | 0.604741i | \(0.793277\pi\) | |||||||
\(402\) | −1.64348 | + | 10.6565i | −0.0819691 | + | 0.531497i | ||||
\(403\) | 6.14758 | − | 30.9060i | 0.306233 | − | 1.53954i | ||||
\(404\) | 1.50587 | + | 1.87860i | 0.0749200 | + | 0.0934637i | ||||
\(405\) | 1.36902 | + | 0.914753i | 0.0680274 | + | 0.0454545i | ||||
\(406\) | 0.217474 | − | 0.596946i | 0.0107931 | − | 0.0296259i | ||||
\(407\) | 19.9276 | + | 8.25427i | 0.987773 | + | 0.409149i | ||||
\(408\) | −8.95185 | + | 5.15757i | −0.443183 | + | 0.255338i | ||||
\(409\) | 10.1062 | − | 4.18612i | 0.499719 | − | 0.206990i | −0.118563 | − | 0.992947i | \(-0.537829\pi\) |
0.618282 | + | 0.785956i | \(0.287829\pi\) | |||||||
\(410\) | 21.1120 | − | 0.915396i | 1.04265 | − | 0.0452082i | ||||
\(411\) | −2.44051 | − | 12.2693i | −0.120382 | − | 0.605199i | ||||
\(412\) | −13.7578 | + | 16.3759i | −0.677799 | + | 0.806782i | ||||
\(413\) | 0.273538 | + | 0.409378i | 0.0134599 | + | 0.0201442i | ||||
\(414\) | 3.15602 | − | 5.19744i | 0.155110 | − | 0.255440i | ||||
\(415\) | 1.99607i | 0.0979833i | ||||||||
\(416\) | 18.6027 | − | 29.1035i | 0.912071 | − | 1.42692i | ||||
\(417\) | 17.3999i | 0.852074i | ||||||||
\(418\) | 14.4356 | + | 8.76572i | 0.706071 | + | 0.428745i | ||||
\(419\) | 14.7736 | + | 22.1103i | 0.721738 | + | 1.08016i | 0.993053 | + | 0.117667i | \(0.0375414\pi\) |
−0.271315 | + | 0.962491i | \(0.587459\pi\) | |||||||
\(420\) | 2.27828 | − | 0.197941i | 0.111169 | − | 0.00965852i | ||||
\(421\) | −1.49960 | − | 7.53902i | −0.0730863 | − | 0.367429i | 0.926882 | − | 0.375352i | \(-0.122478\pi\) |
−0.999969 | + | 0.00792250i | \(0.997478\pi\) | |||||||
\(422\) | 1.24533 | + | 28.7212i | 0.0606215 | + | 1.39813i | ||||
\(423\) | 6.00357 | − | 2.48676i | 0.291904 | − | 0.120910i | ||||
\(424\) | 0.743525 | + | 5.68735i | 0.0361088 | + | 0.276202i | ||||
\(425\) | 7.72452 | + | 3.19960i | 0.374694 | + | 0.155203i | ||||
\(426\) | −18.2823 | − | 6.66045i | −0.885781 | − | 0.322700i | ||||
\(427\) | −7.18079 | − | 4.79805i | −0.347503 | − | 0.232194i | ||||
\(428\) | 14.3248 | + | 1.57755i | 0.692413 | + | 0.0762538i | ||||
\(429\) | −4.02275 | + | 20.2237i | −0.194220 | + | 0.976412i | ||||
\(430\) | 21.6954 | + | 3.34593i | 1.04625 | + | 0.161355i | ||||
\(431\) | 1.90376 | + | 1.90376i | 0.0917011 | + | 0.0917011i | 0.751469 | − | 0.659768i | \(-0.229346\pi\) |
−0.659768 | + | 0.751469i | \(0.729346\pi\) | |||||||
\(432\) | 3.65930 | + | 1.61540i | 0.176058 | + | 0.0777209i | ||||
\(433\) | 6.31254 | − | 6.31254i | 0.303361 | − | 0.303361i | −0.538966 | − | 0.842327i | \(-0.681185\pi\) |
0.842327 | + | 0.538966i | \(0.181185\pi\) | |||||||
\(434\) | 4.08828 | − | 2.99576i | 0.196244 | − | 0.143801i | ||||
\(435\) | 1.04466 | + | 0.207796i | 0.0500876 | + | 0.00996305i | ||||
\(436\) | −5.54035 | − | 19.0508i | −0.265335 | − | 0.912368i | ||||
\(437\) | 8.44737 | − | 12.6424i | 0.404093 | − | 0.604768i | ||||
\(438\) | 3.89931 | + | 8.36867i | 0.186316 | + | 0.399871i | ||||
\(439\) | 5.40640 | − | 13.0522i | 0.258033 | − | 0.622947i | −0.740775 | − | 0.671753i | \(-0.765542\pi\) |
0.998808 | + | 0.0488058i | \(0.0155415\pi\) | |||||||
\(440\) | 5.04173 | + | 14.8967i | 0.240355 | + | 0.710172i | ||||
\(441\) | −2.49423 | − | 6.02160i | −0.118773 | − | 0.286743i | ||||
\(442\) | −23.2485 | − | 21.3162i | −1.10582 | − | 1.01391i | ||||
\(443\) | −10.7828 | + | 2.14483i | −0.512305 | + | 0.101904i | −0.444472 | − | 0.895793i | \(-0.646609\pi\) |
−0.0678331 | + | 0.997697i | \(0.521609\pi\) | |||||||
\(444\) | 12.1808 | + | 3.84867i | 0.578077 | + | 0.182650i | ||||
\(445\) | 7.42645 | − | 4.96220i | 0.352048 | − | 0.235231i | ||||
\(446\) | −2.94447 | − | 12.0488i | −0.139425 | − | 0.570527i | ||||
\(447\) | −15.7602 | −0.745431 | ||||||||
\(448\) | 5.36894 | − | 1.42821i | 0.253659 | − | 0.0674765i | ||||
\(449\) | −22.3558 | −1.05503 | −0.527517 | − | 0.849545i | \(-0.676877\pi\) | ||||
−0.527517 | + | 0.849545i | \(0.676877\pi\) | |||||||
\(450\) | −0.768473 | − | 3.14459i | −0.0362262 | − | 0.148238i | ||||
\(451\) | −25.4819 | + | 17.0265i | −1.19990 | + | 0.801744i | ||||
\(452\) | 11.3530 | − | 35.9318i | 0.534002 | − | 1.69009i | ||||
\(453\) | 10.8042 | − | 2.14909i | 0.507627 | − | 0.100973i | ||||
\(454\) | 22.7159 | + | 20.8279i | 1.06611 | + | 0.977500i | ||||
\(455\) | 2.67183 | + | 6.45037i | 0.125257 | + | 0.302398i | ||||
\(456\) | 8.96670 | + | 4.43197i | 0.419904 | + | 0.207546i | ||||
\(457\) | −4.15982 | + | 10.0427i | −0.194588 | + | 0.469778i | −0.990816 | − | 0.135220i | \(-0.956826\pi\) |
0.796227 | + | 0.604998i | \(0.206826\pi\) | |||||||
\(458\) | 14.6865 | + | 31.5200i | 0.686253 | + | 1.47283i | ||||
\(459\) | 2.02932 | − | 3.03709i | 0.0947204 | − | 0.141759i | ||||
\(460\) | 13.5956 | − | 3.95386i | 0.633896 | − | 0.184350i | ||||
\(461\) | 4.06246 | + | 0.808074i | 0.189208 | + | 0.0376358i | 0.288785 | − | 0.957394i | \(-0.406749\pi\) |
−0.0995768 | + | 0.995030i | \(0.531749\pi\) | |||||||
\(462\) | −2.67522 | + | 1.96032i | −0.124463 | + | 0.0912021i | ||||
\(463\) | −10.3561 | + | 10.3561i | −0.481289 | + | 0.481289i | −0.905543 | − | 0.424254i | \(-0.860536\pi\) |
0.424254 | + | 0.905543i | \(0.360536\pi\) | |||||||
\(464\) | 2.58691 | + | 0.0595655i | 0.120094 | + | 0.00276526i | ||||
\(465\) | 6.00841 | + | 6.00841i | 0.278633 | + | 0.278633i | ||||
\(466\) | 16.8548 | + | 2.59940i | 0.780783 | + | 0.120415i | ||||
\(467\) | 6.96096 | − | 34.9951i | 0.322115 | − | 1.61938i | −0.392424 | − | 0.919784i | \(-0.628363\pi\) |
0.714539 | − | 0.699596i | \(-0.246637\pi\) | |||||||
\(468\) | −1.33680 | + | 12.1387i | −0.0617937 | + | 0.561110i | ||||
\(469\) | −4.40245 | − | 2.94163i | −0.203286 | − | 0.135832i | ||||
\(470\) | 14.2171 | + | 5.17947i | 0.655788 | + | 0.238911i | ||||
\(471\) | 12.8208 | + | 5.31056i | 0.590752 | + | 0.244698i | ||||
\(472\) | −1.22218 | + | 1.58980i | −0.0562555 | + | 0.0731766i | ||||
\(473\) | −29.4128 | + | 12.1832i | −1.35240 | + | 0.560183i | ||||
\(474\) | −0.141726 | − | 3.26866i | −0.00650969 | − | 0.150134i | ||||
\(475\) | −1.57918 | − | 7.93907i | −0.0724577 | − | 0.364270i | ||||
\(476\) | −0.439118 | − | 5.05421i | −0.0201269 | − | 0.231659i | ||||
\(477\) | −1.12664 | − | 1.68613i | −0.0515852 | − | 0.0772027i | ||||
\(478\) | −29.8078 | − | 18.1001i | −1.36338 | − | 0.827879i | ||||
\(479\) | 1.12822i | 0.0515496i | 0.999668 | + | 0.0257748i | \(0.00820528\pi\) | ||||
−0.999668 | + | 0.0257748i | \(0.991795\pi\) | |||||||
\(480\) | 3.73837 | + | 8.53093i | 0.170632 | + | 0.389382i | ||||
\(481\) | 39.0004i | 1.77826i | ||||||||
\(482\) | 14.9589 | − | 24.6348i | 0.681360 | − | 1.12208i | ||||
\(483\) | 1.65889 | + | 2.48270i | 0.0754820 | + | 0.112967i | ||||
\(484\) | −0.618671 | − | 0.519762i | −0.0281214 | − | 0.0236255i | ||||
\(485\) | −3.44785 | − | 17.3335i | −0.156559 | − | 0.787074i | ||||
\(486\) | −1.41289 | + | 0.0612615i | −0.0640898 | + | 0.00277888i | ||||
\(487\) | −19.5691 | + | 8.10579i | −0.886761 | + | 0.367308i | −0.779115 | − | 0.626881i | \(-0.784331\pi\) |
−0.107646 | + | 0.994189i | \(0.534331\pi\) | |||||||
\(488\) | 9.13447 | − | 33.9675i | 0.413498 | − | 1.53764i | ||||
\(489\) | −10.6310 | − | 4.40349i | −0.480749 | − | 0.199133i | ||||
\(490\) | 5.19502 | − | 14.2598i | 0.234687 | − | 0.644194i | ||||
\(491\) | 21.8135 | + | 14.5753i | 0.984430 | + | 0.657775i | 0.939978 | − | 0.341236i | \(-0.110846\pi\) |
0.0444527 | + | 0.999011i | \(0.485846\pi\) | |||||||
\(492\) | −14.1621 | + | 11.3522i | −0.638475 | + | 0.511798i | ||||
\(493\) | 0.460981 | − | 2.31751i | 0.0207615 | − | 0.104375i | ||||
\(494\) | −4.65446 | + | 30.1800i | −0.209414 | + | 1.35786i | ||||
\(495\) | −3.93169 | − | 3.93169i | −0.176716 | − | 0.176716i | ||||
\(496\) | 16.8954 | + | 11.8606i | 0.758624 | + | 0.532558i | ||||
\(497\) | 6.75629 | − | 6.75629i | 0.303061 | − | 0.303061i | ||||
\(498\) | −1.01336 | − | 1.38292i | −0.0454096 | − | 0.0619700i | ||||
\(499\) | 13.4099 | + | 2.66739i | 0.600308 | + | 0.119409i | 0.485884 | − | 0.874023i | \(-0.338498\pi\) |
0.114424 | + | 0.993432i | \(0.463498\pi\) | |||||||
\(500\) | 11.5578 | − | 21.0370i | 0.516880 | − | 0.940802i | ||||
\(501\) | 2.31198 | − | 3.46012i | 0.103292 | − | 0.154587i | ||||
\(502\) | 17.8781 | − | 8.33015i | 0.797939 | − | 0.371793i | ||||
\(503\) | 0.633735 | − | 1.52997i | 0.0282569 | − | 0.0682181i | −0.909121 | − | 0.416532i | \(-0.863246\pi\) |
0.937378 | + | 0.348313i | \(0.113246\pi\) | |||||||
\(504\) | −1.47795 | + | 1.29377i | −0.0658331 | + | 0.0576289i | ||||
\(505\) | −0.758522 | − | 1.83123i | −0.0337538 | − | 0.0814888i | ||||
\(506\) | −13.8772 | + | 15.1352i | −0.616917 | + | 0.672840i | ||||
\(507\) | −23.8170 | + | 4.73749i | −1.05775 | + | 0.210399i | ||||
\(508\) | −14.2462 | + | 7.40517i | −0.632071 | + | 0.328551i | ||||
\(509\) | 3.47429 | − | 2.32145i | 0.153995 | − | 0.102896i | −0.476185 | − | 0.879345i | \(-0.657981\pi\) |
0.630181 | + | 0.776449i | \(0.282981\pi\) | |||||||
\(510\) | 8.26219 | − | 2.01911i | 0.365856 | − | 0.0894075i | ||||
\(511\) | −4.53367 | −0.200558 | ||||||||
\(512\) | 12.5201 | + | 18.8480i | 0.553314 | + | 0.832973i | ||||
\(513\) | −3.53631 | −0.156132 | ||||||||
\(514\) | 36.7165 | − | 8.97274i | 1.61949 | − | 0.395771i | ||||
\(515\) | 14.6404 | − | 9.78238i | 0.645131 | − | 0.431063i | ||||
\(516\) | −16.7297 | + | 8.69610i | −0.736482 | + | 0.382825i | ||||
\(517\) | −21.5227 | + | 4.28114i | −0.946568 | + | 0.188284i | ||||
\(518\) | −4.23932 | + | 4.62361i | −0.186265 | + | 0.203150i | ||||
\(519\) | −7.95237 | − | 19.1987i | −0.349070 | − | 0.842730i | ||||
\(520\) | −21.3963 | + | 18.7298i | −0.938288 | + | 0.821358i | ||||
\(521\) | 6.07194 | − | 14.6590i | 0.266016 | − | 0.642220i | −0.733272 | − | 0.679935i | \(-0.762008\pi\) |
0.999289 | + | 0.0377149i | \(0.0120079\pi\) | |||||||
\(522\) | −0.829254 | + | 0.386384i | −0.0362955 | + | 0.0169115i | ||||
\(523\) | −25.1519 | + | 37.6425i | −1.09982 | + | 1.64599i | −0.431511 | + | 0.902108i | \(0.642019\pi\) |
−0.668307 | + | 0.743886i | \(0.732981\pi\) | |||||||
\(524\) | −21.2143 | + | 38.6133i | −0.926749 | + | 1.68683i | ||||
\(525\) | 1.55907 | + | 0.310118i | 0.0680433 | + | 0.0135346i | ||||
\(526\) | −18.5991 | − | 25.3820i | −0.810958 | − | 1.10671i | ||||
\(527\) | 13.3292 | − | 13.3292i | 0.580631 | − | 0.580631i | ||||
\(528\) | −11.0557 | − | 7.76116i | −0.481138 | − | 0.337761i | ||||
\(529\) | −3.19123 | − | 3.19123i | −0.138749 | − | 0.138749i | ||||
\(530\) | 0.719731 | − | 4.66682i | 0.0312631 | − | 0.202714i | ||||
\(531\) | 0.138315 | − | 0.695355i | 0.00600235 | − | 0.0301759i | ||||
\(532\) | −3.83236 | + | 3.07200i | −0.166154 | + | 0.133188i | ||||
\(533\) | −46.0746 | − | 30.7861i | −1.99571 | − | 1.33349i | ||||
\(534\) | −2.62601 | + | 7.20814i | −0.113638 | + | 0.311927i | ||||
\(535\) | −10.9611 | − | 4.54025i | −0.473891 | − | 0.196292i | ||||
\(536\) | 5.60024 | − | 20.8251i | 0.241893 | − | 0.899506i | ||||
\(537\) | 12.6604 | − | 5.24410i | 0.546336 | − | 0.226300i | ||||
\(538\) | 13.8425 | − | 0.600198i | 0.596792 | − | 0.0258764i | ||||
\(539\) | 4.29399 | + | 21.5873i | 0.184955 | + | 0.929832i | ||||
\(540\) | −2.52133 | − | 2.11824i | −0.108501 | − | 0.0911543i | ||||
\(541\) | 10.4489 | + | 15.6378i | 0.449232 | + | 0.672323i | 0.985101 | − | 0.171978i | \(-0.0550159\pi\) |
−0.535869 | + | 0.844301i | \(0.680016\pi\) | |||||||
\(542\) | 15.3048 | − | 25.2044i | 0.657398 | − | 1.08262i | ||||
\(543\) | − | 4.04347i | − | 0.173522i | ||||||
\(544\) | 18.9253 | − | 8.29331i | 0.811414 | − | 0.355573i | ||||
\(545\) | 16.3335i | 0.699649i | ||||||||
\(546\) | −5.12580 | − | 3.11252i | −0.219364 | − | 0.133204i | ||||
\(547\) | 3.28506 | + | 4.91643i | 0.140459 | + | 0.210211i | 0.895029 | − | 0.446008i | \(-0.147155\pi\) |
−0.754570 | + | 0.656219i | \(0.772155\pi\) | |||||||
\(548\) | 2.16556 | + | 24.9254i | 0.0925081 | + | 1.06476i | ||||
\(549\) | 2.42614 | + | 12.1970i | 0.103545 | + | 0.520556i | ||||
\(550\) | 0.473545 | + | 10.9215i | 0.0201920 | + | 0.465693i | ||||
\(551\) | −2.11350 | + | 0.875440i | −0.0900381 | + | 0.0372950i | ||||
\(552\) | −7.41200 | + | 9.64145i | −0.315476 | + | 0.410367i | ||||
\(553\) | 1.48431 | + | 0.614819i | 0.0631191 | + | 0.0261448i | ||||
\(554\) | −40.9874 | − | 14.9322i | −1.74139 | − | 0.634407i | ||||
\(555\) | −8.74422 | − | 5.84270i | −0.371172 | − | 0.248009i | ||||
\(556\) | 3.80938 | − | 34.5906i | 0.161554 | − | 1.46697i | ||||
\(557\) | −3.59757 | + | 18.0862i | −0.152434 | + | 0.766337i | 0.826624 | + | 0.562755i | \(0.190258\pi\) |
−0.979058 | + | 0.203582i | \(0.934742\pi\) | |||||||
\(558\) | −7.21308 | − | 1.11242i | −0.305354 | − | 0.0470926i | ||||
\(559\) | −40.7039 | − | 40.7039i | −1.72159 | − | 1.72159i | ||||
\(560\) | −4.57252 | − | 0.105286i | −0.193224 | − | 0.00444913i | ||||
\(561\) | −8.72217 | + | 8.72217i | −0.368250 | + | 0.368250i | ||||
\(562\) | 12.3706 | − | 9.06475i | 0.521821 | − | 0.382373i | ||||
\(563\) | 21.3597 | + | 4.24871i | 0.900204 | + | 0.179062i | 0.623435 | − | 0.781875i | \(-0.285737\pi\) |
0.276768 | + | 0.960937i | \(0.410737\pi\) | |||||||
\(564\) | −12.4794 | + | 3.62926i | −0.525478 | + | 0.152819i | ||||
\(565\) | −17.2352 | + | 25.7942i | −0.725089 | + | 1.08517i | ||||
\(566\) | 13.2091 | + | 28.3493i | 0.555220 | + | 1.19161i | ||||
\(567\) | 0.265757 | − | 0.641595i | 0.0111608 | − | 0.0269445i | ||||
\(568\) | 34.8867 | + | 17.2434i | 1.46381 | + | 0.723518i | ||||
\(569\) | −6.15954 | − | 14.8705i | −0.258221 | − | 0.623402i | 0.740600 | − | 0.671947i | \(-0.234542\pi\) |
−0.998821 | + | 0.0485449i | \(0.984542\pi\) | |||||||
\(570\) | −6.06934 | − | 5.56489i | −0.254217 | − | 0.233088i | ||||
\(571\) | −41.2134 | + | 8.19785i | −1.72473 | + | 0.343069i | −0.955294 | − | 0.295659i | \(-0.904461\pi\) |
−0.769432 | + | 0.638728i | \(0.779461\pi\) | |||||||
\(572\) | 12.4248 | − | 39.3237i | 0.519506 | − | 1.64421i | ||||
\(573\) | 10.8143 | − | 7.22586i | 0.451772 | − | 0.301864i | ||||
\(574\) | −2.11585 | − | 8.65807i | −0.0883140 | − | 0.361381i | ||||
\(575\) | 9.84187 | 0.410434 | ||||||||
\(576\) | −6.92096 | − | 4.01252i | −0.288373 | − | 0.167188i | ||||
\(577\) | −12.7068 | −0.528989 | −0.264495 | − | 0.964387i | \(-0.585205\pi\) | ||||
−0.264495 | + | 0.964387i | \(0.585205\pi\) | |||||||
\(578\) | 1.22807 | + | 5.02528i | 0.0510811 | + | 0.209024i | ||||
\(579\) | −8.57260 | + | 5.72803i | −0.356265 | + | 0.238049i | ||||
\(580\) | −2.03127 | − | 0.641803i | −0.0843440 | − | 0.0266494i | ||||
\(581\) | 0.825716 | − | 0.164245i | 0.0342565 | − | 0.00681403i | ||||
\(582\) | 11.1885 | + | 10.2586i | 0.463780 | + | 0.425233i | ||||
\(583\) | 2.62068 | + | 6.32688i | 0.108537 | + | 0.262032i | ||||
\(584\) | −5.91958 | − | 17.4904i | −0.244954 | − | 0.723760i | ||||
\(585\) | 3.84737 | − | 9.28836i | 0.159069 | − | 0.384026i | ||||
\(586\) | 1.12795 | + | 2.42080i | 0.0465952 | + | 0.100002i | ||||
\(587\) | 4.87220 | − | 7.29176i | 0.201097 | − | 0.300963i | −0.717190 | − | 0.696877i | \(-0.754572\pi\) |
0.918288 | + | 0.395914i | \(0.129572\pi\) | |||||||
\(588\) | 3.64016 | + | 12.5169i | 0.150118 | + | 0.516188i | ||||
\(589\) | −17.8992 | − | 3.56038i | −0.737525 | − | 0.146703i | ||||
\(590\) | 1.33163 | − | 0.975774i | 0.0548223 | − | 0.0401720i | ||||
\(591\) | 0.00799825 | − | 0.00799825i | 0.000329004 | − | 0.000329004i | ||||
\(592\) | −23.3727 | − | 10.3179i | −0.960611 | − | 0.424061i | ||||
\(593\) | 16.9884 | + | 16.9884i | 0.697632 | + | 0.697632i | 0.963899 | − | 0.266267i | \(-0.0857904\pi\) |
−0.266267 | + | 0.963899i | \(0.585790\pi\) | |||||||
\(594\) | 4.71997 | + | 0.727929i | 0.193663 | + | 0.0298673i | ||||
\(595\) | −0.814811 | + | 4.09633i | −0.0334040 | + | 0.167933i | ||||
\(596\) | 31.3309 | + | 3.45040i | 1.28336 | + | 0.141334i | ||||
\(597\) | −13.0460 | − | 8.71708i | −0.533938 | − | 0.356766i | ||||
\(598\) | −34.8854 | − | 12.7092i | −1.42657 | − | 0.519716i | ||||
\(599\) | −36.9343 | − | 15.2987i | −1.50909 | − | 0.625087i | −0.533723 | − | 0.845660i | \(-0.679207\pi\) |
−0.975371 | + | 0.220573i | \(0.929207\pi\) | |||||||
\(600\) | 0.839259 | + | 6.41963i | 0.0342626 | + | 0.262080i | ||||
\(601\) | −4.16482 | + | 1.72513i | −0.169887 | + | 0.0703694i | −0.466006 | − | 0.884782i | \(-0.654307\pi\) |
0.296119 | + | 0.955151i | \(0.404307\pi\) | |||||||
\(602\) | −0.401075 | − | 9.25007i | −0.0163466 | − | 0.377005i | ||||
\(603\) | 1.48744 | + | 7.47785i | 0.0605731 | + | 0.304522i | ||||
\(604\) | −21.9491 | + | 1.90697i | −0.893096 | + | 0.0775936i | ||||
\(605\) | 0.369572 | + | 0.553104i | 0.0150252 | + | 0.0224869i | ||||
\(606\) | 1.45519 | + | 0.883632i | 0.0591131 | + | 0.0358951i | ||||
\(607\) | 29.9228i | 1.21453i | 0.794500 | + | 0.607264i | \(0.207733\pi\) | ||||
−0.794500 | + | 0.607264i | \(0.792267\pi\) | |||||||
\(608\) | −16.8553 | − | 10.7738i | −0.683574 | − | 0.436934i | ||||
\(609\) | − | 0.449243i | − | 0.0182043i | ||||||
\(610\) | −15.0298 | + | 24.7515i | −0.608539 | + | 1.00216i | ||||
\(611\) | −22.0441 | − | 32.9913i | −0.891808 | − | 1.33469i | ||||
\(612\) | −4.69916 | + | 5.59339i | −0.189952 | + | 0.226099i | ||||
\(613\) | 1.29796 | + | 6.52530i | 0.0524242 | + | 0.263554i | 0.998104 | − | 0.0615441i | \(-0.0196025\pi\) |
−0.945680 | + | 0.325099i | \(0.894602\pi\) | |||||||
\(614\) | 3.32204 | − | 0.144040i | 0.134066 | − | 0.00581300i | ||||
\(615\) | 13.8050 | − | 5.71822i | 0.556672 | − | 0.230581i | ||||
\(616\) | 5.74747 | − | 3.31138i | 0.231572 | − | 0.133419i | ||||
\(617\) | −25.4364 | − | 10.5361i | −1.02403 | − | 0.424167i | −0.193476 | − | 0.981105i | \(-0.561976\pi\) |
−0.830554 | + | 0.556938i | \(0.811976\pi\) | |||||||
\(618\) | −5.17686 | + | 14.2100i | −0.208244 | + | 0.571609i | ||||
\(619\) | −18.7776 | − | 12.5468i | −0.754733 | − | 0.504297i | 0.117688 | − | 0.993051i | \(-0.462452\pi\) |
−0.872422 | + | 0.488754i | \(0.837452\pi\) | |||||||
\(620\) | −10.6292 | − | 13.2600i | −0.426878 | − | 0.532536i | ||||
\(621\) | 0.838819 | − | 4.21703i | 0.0336606 | − | 0.169223i | ||||
\(622\) | 2.44256 | − | 15.8378i | 0.0979377 | − | 0.635039i | ||||
\(623\) | −2.66379 | − | 2.66379i | −0.106723 | − | 0.106723i | ||||
\(624\) | 5.31508 | − | 23.8388i | 0.212773 | − | 0.954315i | ||||
\(625\) | −5.87995 | + | 5.87995i | −0.235198 | + | 0.235198i | ||||
\(626\) | 20.6842 | + | 28.2275i | 0.826706 | + | 1.12820i | ||||
\(627\) | 11.7126 | + | 2.32978i | 0.467756 | + | 0.0930425i | ||||
\(628\) | −24.3249 | − | 13.3642i | −0.970670 | − | 0.533289i | ||||
\(629\) | −12.9616 | + | 19.3985i | −0.516814 | + | 0.773467i | ||||
\(630\) | 1.46576 | − | 0.682957i | 0.0583972 | − | 0.0272096i | ||||
\(631\) | 2.27717 | − | 5.49757i | 0.0906527 | − | 0.218855i | −0.872050 | − | 0.489417i | \(-0.837210\pi\) |
0.962703 | + | 0.270562i | \(0.0872096\pi\) | |||||||
\(632\) | −0.433864 | + | 6.52906i | −0.0172582 | + | 0.259712i | ||||
\(633\) | 7.77920 | + | 18.7807i | 0.309196 | + | 0.746464i | ||||
\(634\) | −23.9127 | + | 26.0804i | −0.949696 | + | 1.03578i | ||||
\(635\) | 12.9641 | − | 2.57872i | 0.514464 | − | 0.102333i | ||||
\(636\) | 1.87059 | + | 3.59865i | 0.0741736 | + | 0.142696i | ||||
\(637\) | −33.0904 | + | 22.1103i | −1.31109 | + | 0.876041i | ||||
\(638\) | 3.00113 | − | 0.733412i | 0.118816 | − | 0.0290361i | ||||
\(639\) | −13.7587 | −0.544286 | ||||||||
\(640\) | −5.56412 | − | 17.7778i | −0.219941 | − | 0.702728i | ||||
\(641\) | 49.0818 | 1.93862 | 0.969308 | − | 0.245851i | \(-0.0790674\pi\) | ||||
0.969308 | + | 0.245851i | \(0.0790674\pi\) | |||||||
\(642\) | 9.89906 | − | 2.41912i | 0.390685 | − | 0.0954752i | ||||
\(643\) | 14.3353 | − | 9.57854i | 0.565329 | − | 0.377741i | −0.239816 | − | 0.970818i | \(-0.577087\pi\) |
0.805145 | + | 0.593078i | \(0.202087\pi\) | |||||||
\(644\) | −2.75429 | − | 5.29874i | −0.108534 | − | 0.208800i | ||||
\(645\) | 15.2241 | − | 3.02826i | 0.599448 | − | 0.119238i | ||||
\(646\) | −12.3453 | + | 13.4644i | −0.485720 | + | 0.529750i | ||||
\(647\) | 10.9878 | + | 26.5269i | 0.431975 | + | 1.04288i | 0.978650 | + | 0.205534i | \(0.0658933\pi\) |
−0.546675 | + | 0.837345i | \(0.684107\pi\) | |||||||
\(648\) | 2.82220 | + | 0.187539i | 0.110867 | + | 0.00736722i | ||||
\(649\) | −0.916223 | + | 2.21196i | −0.0359649 | + | 0.0868270i | ||||
\(650\) | −17.9166 | + | 8.34808i | −0.702747 | + | 0.327439i | ||||
\(651\) | 1.99111 | − | 2.97990i | 0.0780376 | − | 0.116792i | ||||
\(652\) | 20.1701 | + | 11.0815i | 0.789922 | + | 0.433986i | ||||
\(653\) | 40.3274 | + | 8.02161i | 1.57813 | + | 0.313910i | 0.904934 | − | 0.425553i | \(-0.139920\pi\) |
0.673198 | + | 0.739463i | \(0.264920\pi\) | |||||||
\(654\) | −8.29211 | − | 11.3162i | −0.324247 | − | 0.442497i | ||||
\(655\) | 25.6470 | − | 25.6470i | 1.00211 | − | 1.00211i | ||||
\(656\) | 30.6393 | − | 19.4675i | 1.19626 | − | 0.760078i | ||||
\(657\) | 4.61625 | + | 4.61625i | 0.180097 | + | 0.180097i | ||||
\(658\) | 0.972748 | − | 6.30740i | 0.0379216 | − | 0.245888i | ||||
\(659\) | −4.65724 | + | 23.4135i | −0.181420 | + | 0.912062i | 0.777607 | + | 0.628750i | \(0.216433\pi\) |
−0.959028 | + | 0.283312i | \(0.908567\pi\) | |||||||
\(660\) | 6.95535 | + | 8.67689i | 0.270737 | + | 0.337747i | ||||
\(661\) | 30.0144 | + | 20.0550i | 1.16743 | + | 0.780049i | 0.979363 | − | 0.202109i | \(-0.0647794\pi\) |
0.188062 | + | 0.982157i | \(0.439779\pi\) | |||||||
\(662\) | 3.89245 | − | 10.6844i | 0.151284 | − | 0.415261i | ||||
\(663\) | −20.6056 | − | 8.53511i | −0.800255 | − | 0.331476i | ||||
\(664\) | 1.71177 | + | 2.97107i | 0.0664296 | + | 0.115300i | ||||
\(665\) | 3.73574 | − | 1.54739i | 0.144866 | − | 0.0600053i | ||||
\(666\) | 9.02437 | − | 0.391289i | 0.349687 | − | 0.0151621i | ||||
\(667\) | −0.542630 | − | 2.72799i | −0.0210107 | − | 0.105628i | ||||
\(668\) | −5.35370 | + | 6.37249i | −0.207141 | + | 0.246559i | ||||
\(669\) | −4.87263 | − | 7.29240i | −0.188387 | − | 0.281941i | ||||
\(670\) | −9.21459 | + | 15.1749i | −0.355991 | + | 0.586256i | ||||
\(671\) | − | 41.9961i | − | 1.62124i | ||||||
\(672\) | 3.22138 | − | 2.24841i | 0.124268 | − | 0.0867344i | ||||
\(673\) | 22.0336i | 0.849334i | 0.905350 | + | 0.424667i | \(0.139609\pi\) | ||||
−0.905350 | + | 0.424667i | \(0.860391\pi\) | |||||||
\(674\) | 16.0954 | + | 9.77358i | 0.619973 | + | 0.376464i | ||||
\(675\) | −1.27170 | − | 1.90323i | −0.0489477 | − | 0.0732554i | ||||
\(676\) | 48.3849 | − | 4.20375i | 1.86096 | − | 0.161683i | ||||
\(677\) | −2.40081 | − | 12.0697i | −0.0922704 | − | 0.463875i | −0.999102 | − | 0.0423806i | \(-0.986506\pi\) |
0.906831 | − | 0.421494i | \(-0.138494\pi\) | |||||||
\(678\) | −1.15425 | − | 26.6206i | −0.0443286 | − | 1.02236i | ||||
\(679\) | −6.88665 | + | 2.85255i | −0.264286 | + | 0.109471i | ||||
\(680\) | −16.8671 | + | 2.20509i | −0.646824 | + | 0.0845614i | ||||
\(681\) | 20.1335 | + | 8.33957i | 0.771517 | + | 0.319573i | ||||
\(682\) | 23.1575 | + | 8.43655i | 0.886747 | + | 0.323052i | ||||
\(683\) | −13.8421 | − | 9.24901i | −0.529654 | − | 0.353904i | 0.261810 | − | 0.965120i | \(-0.415681\pi\) |
−0.791464 | + | 0.611216i | \(0.790681\pi\) | |||||||
\(684\) | 7.03012 | + | 0.774210i | 0.268803 | + | 0.0296027i | ||||
\(685\) | 4.01834 | − | 20.2015i | 0.153533 | − | 0.771861i | ||||
\(686\) | −13.1208 | − | 2.02353i | −0.500954 | − | 0.0772587i | ||||
\(687\) | 17.3868 | + | 17.3868i | 0.663347 | + | 0.663347i | ||||
\(688\) | 35.1621 | − | 13.6250i | 1.34054 | − | 0.519450i | ||||
\(689\) | −8.75566 | + | 8.75566i | −0.333564 | + | 0.333564i | ||||
\(690\) | 8.07575 | − | 5.91764i | 0.307438 | − | 0.225281i | ||||
\(691\) | −3.36771 | − | 0.669880i | −0.128114 | − | 0.0254834i | 0.130617 | − | 0.991433i | \(-0.458304\pi\) |
−0.258731 | + | 0.965949i | \(0.583304\pi\) | |||||||
\(692\) | 11.6060 | + | 39.9077i | 0.441192 | + | 1.51706i | ||||
\(693\) | −1.30291 | + | 1.94994i | −0.0494933 | + | 0.0740720i | ||||
\(694\) | −8.26717 | − | 17.7429i | −0.313817 | − | 0.673513i | ||||
\(695\) | −10.9635 | + | 26.4683i | −0.415870 | + | 1.00400i | ||||
\(696\) | 1.73313 | − | 0.586573i | 0.0656943 | − | 0.0222340i | ||||
\(697\) | −12.6855 | − | 30.6255i | −0.480497 | − | 1.16002i | ||||
\(698\) | 17.0340 | + | 15.6182i | 0.644745 | + | 0.591157i | ||||
\(699\) | 11.8273 | − | 2.35260i | 0.447350 | − | 0.0889835i | ||||
\(700\) | −3.03150 | − | 0.957837i | −0.114580 | − | 0.0362028i | ||||
\(701\) | 13.9444 | − | 9.31738i | 0.526674 | − | 0.351912i | −0.263633 | − | 0.964623i | \(-0.584921\pi\) |
0.790307 | + | 0.612711i | \(0.209921\pi\) | |||||||
\(702\) | 2.04994 | + | 8.38838i | 0.0773702 | + | 0.316599i | ||||
\(703\) | 22.5871 | 0.851889 | ||||||||
\(704\) | 20.2794 | + | 17.8495i | 0.764307 | + | 0.672728i | ||||
\(705\) | 10.6994 | 0.402963 | ||||||||
\(706\) | 3.08004 | + | 12.6035i | 0.115919 | + | 0.474339i | ||||
\(707\) | −0.695113 | + | 0.464460i | −0.0261424 | + | 0.0174678i | ||||
\(708\) | −0.427202 | + | 1.35207i | −0.0160553 | + | 0.0508140i | ||||
\(709\) | −22.9396 | + | 4.56297i | −0.861514 | + | 0.171366i | −0.606024 | − | 0.795446i | \(-0.707237\pi\) |
−0.255489 | + | 0.966812i | \(0.582237\pi\) | |||||||
\(710\) | −23.6140 | − | 21.6513i | −0.886216 | − | 0.812559i | ||||
\(711\) | −0.885323 | − | 2.13736i | −0.0332022 | − | 0.0801573i | ||||
\(712\) | 6.79854 | − | 13.7547i | 0.254786 | − | 0.515480i | ||||
\(713\) | 8.49145 | − | 20.5002i | 0.318007 | − | 0.767737i | ||||
\(714\) | −1.51509 | − | 3.25168i | −0.0567009 | − | 0.121691i | ||||
\(715\) | −18.8622 | + | 28.2292i | −0.705405 | + | 1.05571i | ||||
\(716\) | −26.3167 | + | 7.65342i | −0.983502 | + | 0.286022i | ||||
\(717\) | −24.1850 | − | 4.81070i | −0.903207 | − | 0.179659i | ||||
\(718\) | 15.2027 | − | 11.1401i | 0.567361 | − | 0.415744i | ||||
\(719\) | −7.23308 | + | 7.23308i | −0.269749 | + | 0.269749i | −0.828999 | − | 0.559250i | \(-0.811089\pi\) |
0.559250 | + | 0.828999i | \(0.311089\pi\) | |||||||
\(720\) | 4.54860 | + | 4.76301i | 0.169516 | + | 0.177507i | ||||
\(721\) | −5.25135 | − | 5.25135i | −0.195571 | − | 0.195571i | ||||
\(722\) | −9.07730 | − | 1.39993i | −0.337822 | − | 0.0521000i | ||||
\(723\) | 3.97583 | − | 19.9878i | 0.147863 | − | 0.743356i | ||||
\(724\) | −0.885244 | + | 8.03835i | −0.0328998 | + | 0.298743i | ||||
\(725\) | −1.23120 | − | 0.822660i | −0.0457255 | − | 0.0305528i | ||||
\(726\) | −0.536844 | − | 0.195579i | −0.0199242 | − | 0.00725860i | ||||
\(727\) | 35.0125 | + | 14.5026i | 1.29854 | + | 0.537873i | 0.921520 | − | 0.388332i | \(-0.126949\pi\) |
0.377021 | + | 0.926205i | \(0.376949\pi\) | |||||||
\(728\) | 9.50855 | + | 7.30983i | 0.352410 | + | 0.270920i | ||||
\(729\) | −0.923880 | + | 0.382683i | −0.0342178 | + | 0.0141735i | ||||
\(730\) | 0.658502 | + | 15.1872i | 0.0243723 | + | 0.562102i | ||||
\(731\) | −6.71798 | − | 33.7736i | −0.248473 | − | 1.24916i | ||||
\(732\) | −2.15280 | − | 24.7786i | −0.0795700 | − | 0.915844i | ||||
\(733\) | 22.6813 | + | 33.9450i | 0.837754 | + | 1.25379i | 0.965087 | + | 0.261928i | \(0.0843582\pi\) |
−0.127333 | + | 0.991860i | \(0.540642\pi\) | |||||||
\(734\) | −17.9174 | − | 10.8799i | −0.661343 | − | 0.401586i | ||||
\(735\) | − | 10.7315i | − | 0.395838i | ||||||
\(736\) | 16.8457 | − | 17.5443i | 0.620942 | − | 0.646692i | ||||
\(737\) | − | 25.7473i | − | 0.948414i | ||||||
\(738\) | −6.66138 | + | 10.9702i | −0.245209 | + | 0.403817i | ||||
\(739\) | 7.02120 | + | 10.5080i | 0.258279 | + | 0.386542i | 0.937835 | − | 0.347082i | \(-0.112827\pi\) |
−0.679556 | + | 0.733624i | \(0.737827\pi\) | |||||||
\(740\) | 16.1042 | + | 13.5296i | 0.592002 | + | 0.497357i | ||||
\(741\) | 4.21255 | + | 21.1779i | 0.154752 | + | 0.777990i | ||||
\(742\) | −1.98975 | + | 0.0862736i | −0.0730459 | + | 0.00316720i | ||||
\(743\) | 35.0632 | − | 14.5237i | 1.28635 | − | 0.532822i | 0.368452 | − | 0.929647i | \(-0.379888\pi\) |
0.917894 | + | 0.396825i | \(0.129888\pi\) | |||||||
\(744\) | 14.0959 | + | 3.79065i | 0.516781 | + | 0.138972i | ||||
\(745\) | −23.9740 | − | 9.93037i | −0.878341 | − | 0.363821i | ||||
\(746\) | −0.463010 | + | 1.27092i | −0.0169520 | + | 0.0465316i | ||||
\(747\) | −1.00799 | − | 0.673519i | −0.0368805 | − | 0.0246428i | ||||
\(748\) | 19.2491 | − | 15.4300i | 0.703816 | − | 0.564175i | ||||
\(749\) | −0.976239 | + | 4.90789i | −0.0356710 | + | 0.179330i | ||||
\(750\) | 2.58698 | − | 16.7743i | 0.0944631 | − | 0.612509i | ||||
\(751\) | −22.3848 | − | 22.3848i | −0.816834 | − | 0.816834i | 0.168814 | − | 0.985648i | \(-0.446006\pi\) |
−0.985648 | + | 0.168814i | \(0.946006\pi\) | |||||||
\(752\) | 25.6034 | − | 4.48277i | 0.933660 | − | 0.163470i | ||||
\(753\) | 9.86177 | − | 9.86177i | 0.359383 | − | 0.359383i | ||||
\(754\) | 3.30177 | + | 4.50589i | 0.120243 | + | 0.164095i | ||||
\(755\) | 17.7893 | + | 3.53851i | 0.647418 | + | 0.128780i | ||||
\(756\) | −0.668786 | + | 1.21730i | −0.0243235 | + | 0.0442726i | ||||
\(757\) | 2.18439 | − | 3.26917i | 0.0793929 | − | 0.118820i | −0.789648 | − | 0.613560i | \(-0.789737\pi\) |
0.869041 | + | 0.494740i | \(0.164737\pi\) | |||||||
\(758\) | −35.4887 | + | 16.5356i | −1.28901 | + | 0.600601i | ||||
\(759\) | −5.55649 | + | 13.4146i | −0.201688 | + | 0.486918i | ||||
\(760\) | 10.8474 | + | 12.3917i | 0.393477 | + | 0.449493i | ||||
\(761\) | 18.2344 | + | 44.0218i | 0.660997 | + | 1.59579i | 0.796244 | + | 0.604976i | \(0.206817\pi\) |
−0.135247 | + | 0.990812i | \(0.543183\pi\) | |||||||
\(762\) | −7.67262 | + | 8.36813i | −0.277950 | + | 0.303146i | ||||
\(763\) | 6.75667 | − | 1.34399i | 0.244608 | − | 0.0486556i | ||||
\(764\) | −23.0805 | + | 11.9973i | −0.835023 | + | 0.434046i | ||||
\(765\) | 5.00060 | − | 3.34129i | 0.180797 | − | 0.120805i | ||||
\(766\) | −16.3982 | + | 4.00739i | −0.592492 | + | 0.144793i | ||||
\(767\) | −4.32904 | −0.156313 | ||||||||
\(768\) | 12.8803 | + | 9.49203i | 0.464777 | + | 0.342514i | ||||
\(769\) | 45.4847 | 1.64022 | 0.820109 | − | 0.572207i | \(-0.193913\pi\) | ||||
0.820109 | + | 0.572207i | \(0.193913\pi\) | |||||||
\(770\) | −5.30467 | + | 1.29635i | −0.191167 | + | 0.0467173i | ||||
\(771\) | 22.2223 | − | 14.8484i | 0.800315 | − | 0.534753i | ||||
\(772\) | 18.2962 | − | 9.51040i | 0.658495 | − | 0.342287i | ||||
\(773\) | −17.7723 | + | 3.53512i | −0.639224 | + | 0.127150i | −0.504053 | − | 0.863673i | \(-0.668158\pi\) |
−0.135171 | + | 0.990822i | \(0.543158\pi\) | |||||||
\(774\) | −9.01018 | + | 9.82694i | −0.323864 | + | 0.353222i | ||||
\(775\) | −4.52059 | − | 10.9137i | −0.162384 | − | 0.392030i | ||||
\(776\) | −19.9967 | − | 22.8434i | −0.717838 | − | 0.820032i | ||||
\(777\) | −1.69744 | + | 4.09799i | −0.0608954 | + | 0.147015i | ||||
\(778\) | 15.6145 | − | 7.27543i | 0.559806 | − | 0.260837i | ||||
\(779\) | −17.8298 | + | 26.6841i | −0.638818 | + | 0.956059i | ||||
\(780\) | −9.68201 | + | 17.6228i | −0.346671 | + | 0.630997i | ||||
\(781\) | 45.5702 | + | 9.06447i | 1.63063 | + | 0.324352i | ||||
\(782\) | −13.1279 | − | 17.9155i | −0.469452 | − | 0.640656i | ||||
\(783\) | −0.457426 | + | 0.457426i | −0.0163471 | + | 0.0163471i | ||||
\(784\) | −4.49622 | − | 25.6803i | −0.160579 | − | 0.917153i | ||||
\(785\) | 16.1566 | + | 16.1566i | 0.576655 | + | 0.576655i | ||||
\(786\) | −4.74839 | + | 30.7891i | −0.169370 | + | 1.09821i | ||||
\(787\) | −2.93945 | + | 14.7776i | −0.104780 | + | 0.526764i | 0.892369 | + | 0.451306i | \(0.149042\pi\) |
−0.997149 | + | 0.0754579i | \(0.975958\pi\) | |||||||
\(788\) | −0.0176514 | + | 0.0141493i | −0.000628807 | + | 0.000504048i | ||||
\(789\) | −18.5006 | − | 12.3617i | −0.658639 | − | 0.440089i | ||||
\(790\) | 1.84397 | − | 5.06151i | 0.0656054 | − | 0.180081i | ||||
\(791\) | 12.0885 | + | 5.00722i | 0.429818 | + | 0.178036i | ||||
\(792\) | −9.22385 | − | 2.48046i | −0.327755 | − | 0.0881393i | ||||
\(793\) | 70.1543 | − | 29.0589i | 2.49125 | − | 1.03191i | ||||
\(794\) | −34.6784 | + | 1.50363i | −1.23069 | + | 0.0533617i | ||||
\(795\) | −0.651397 | − | 3.27479i | −0.0231027 | − | 0.116145i | ||||
\(796\) | 24.0268 | + | 20.1856i | 0.851608 | + | 0.715459i | ||||
\(797\) | 2.57708 | + | 3.85688i | 0.0912849 | + | 0.136618i | 0.874301 | − | 0.485383i | \(-0.161320\pi\) |
−0.783016 | + | 0.622001i | \(0.786320\pi\) | |||||||
\(798\) | −1.80262 | + | 2.96861i | −0.0638121 | + | 0.105088i | ||||
\(799\) | − | 23.7359i | − | 0.839715i | ||||||
\(800\) | −0.262970 | − | 12.9459i | −0.00929739 | − | 0.457705i | ||||
\(801\) | 5.42463i | 0.191670i | ||||||||
\(802\) | 6.56182 | + | 3.98451i | 0.231706 | + | 0.140698i | ||||
\(803\) | −12.2482 | − | 18.3307i | −0.432230 | − | 0.646878i | ||||
\(804\) | −1.31986 | − | 15.1915i | −0.0465478 | − | 0.535762i | ||||
\(805\) | 0.959132 | + | 4.82188i | 0.0338050 | + | 0.169949i | ||||
\(806\) | 1.93044 | + | 44.5221i | 0.0679968 | + | 1.56822i | ||||
\(807\) | 9.05154 | − | 3.74927i | 0.318629 | − | 0.131981i | ||||
\(808\) | −2.69944 | − | 2.07523i | −0.0949660 | − | 0.0730064i | ||||
\(809\) | 49.6648 | + | 20.5718i | 1.74612 | + | 0.723267i | 0.998232 | + | 0.0594428i | \(0.0189324\pi\) |
0.747889 | + | 0.663824i | \(0.231068\pi\) | |||||||
\(810\) | −2.18785 | − | 0.797060i | −0.0768733 | − | 0.0280058i | ||||
\(811\) | −1.65510 | − | 1.10590i | −0.0581183 | − | 0.0388334i | 0.526172 | − | 0.850378i | \(-0.323627\pi\) |
−0.584290 | + | 0.811545i | \(0.698627\pi\) | |||||||
\(812\) | −0.0983536 | + | 0.893087i | −0.00345153 | + | 0.0313412i | ||||
\(813\) | 4.06776 | − | 20.4500i | 0.142663 | − | 0.717214i | ||||
\(814\) | −30.1474 | − | 4.64942i | −1.05666 | − | 0.162962i | ||||
\(815\) | −13.3970 | − | 13.3970i | −0.469276 | − | 0.469276i | ||||
\(816\) | 10.5664 | − | 10.0908i | 0.369898 | − | 0.353247i | ||||
\(817\) | −23.5737 | + | 23.5737i | −0.824739 | + | 0.824739i | ||||
\(818\) | −12.4784 | + | 9.14374i | −0.436296 | + | 0.319703i | ||||
\(819\) | −4.15890 | − | 0.827256i | −0.145324 | − | 0.0289067i | ||||
\(820\) | −28.6960 | + | 8.34536i | −1.00211 | + | 0.291433i | ||||
\(821\) | −7.27440 | + | 10.8869i | −0.253878 | + | 0.379956i | −0.936414 | − | 0.350896i | \(-0.885877\pi\) |
0.682536 | + | 0.730852i | \(0.260877\pi\) | |||||||
\(822\) | 7.47185 | + | 16.0360i | 0.260611 | + | 0.559321i | ||||
\(823\) | 12.1106 | − | 29.2375i | 0.422147 | − | 1.01915i | −0.559566 | − | 0.828786i | \(-0.689032\pi\) |
0.981713 | − | 0.190368i | \(-0.0609680\pi\) | |||||||
\(824\) | 13.4025 | − | 27.1158i | 0.466899 | − | 0.944624i | ||||
\(825\) | 2.95811 | + | 7.14150i | 0.102988 | + | 0.248635i | ||||
\(826\) | −0.513221 | − | 0.470565i | −0.0178572 | − | 0.0163730i | ||||
\(827\) | −4.76381 | + | 0.947580i | −0.165654 | + | 0.0329506i | −0.277220 | − | 0.960806i | \(-0.589413\pi\) |
0.111567 | + | 0.993757i | \(0.464413\pi\) | |||||||
\(828\) | −2.59080 | + | 8.19972i | −0.0900364 | + | 0.284960i | ||||
\(829\) | −20.4524 | + | 13.6659i | −0.710341 | + | 0.474635i | −0.857504 | − | 0.514478i | \(-0.827986\pi\) |
0.147163 | + | 0.989112i | \(0.452986\pi\) | |||||||
\(830\) | −0.670130 | − | 2.74218i | −0.0232606 | − | 0.0951823i | ||||
\(831\) | −30.8459 | −1.07003 | ||||||||
\(832\) | −15.7853 | + | 46.2274i | −0.547258 | + | 1.60265i | ||||
\(833\) | −23.8071 | −0.824868 | ||||||||
\(834\) | −5.84156 | − | 23.9037i | −0.202277 | − | 0.827717i | ||||
\(835\) | 5.69714 | − | 3.80670i | 0.197158 | − | 0.131736i | ||||
\(836\) | −22.7744 | − | 7.19582i | −0.787668 | − | 0.248873i | ||||
\(837\) | −5.06155 | + | 1.00681i | −0.174953 | + | 0.0348003i | ||||
\(838\) | −27.7187 | − | 25.4149i | −0.957528 | − | 0.877944i | ||||
\(839\) | −15.0870 | − | 36.4233i | −0.520863 | − | 1.25747i | −0.937368 | − | 0.348340i | \(-0.886745\pi\) |
0.416505 | − | 0.909133i | \(-0.363255\pi\) | |||||||
\(840\) | −3.06342 | + | 1.03680i | −0.105698 | + | 0.0357731i | ||||
\(841\) | 10.9377 | − | 26.4059i | 0.377161 | − | 0.910548i | ||||
\(842\) | 4.59117 | + | 9.85355i | 0.158222 | + | 0.339576i | ||||
\(843\) | 6.02481 | − | 9.01676i | 0.207505 | − | 0.310554i | ||||
\(844\) | −11.3532 | − | 39.0387i | −0.390794 | − | 1.34377i | ||||
\(845\) | −39.2149 | − | 7.80034i | −1.34903 | − | 0.268340i | ||||
\(846\) | −7.41276 | + | 5.43183i | −0.254856 | + | 0.186750i | ||||
\(847\) | 0.198393 | − | 0.198393i | 0.00681685 | − | 0.00681685i | ||||
\(848\) | −2.93083 | − | 7.56359i | −0.100645 | − | 0.259735i | ||||
\(849\) | 15.6378 | + | 15.6378i | 0.536688 | + | 0.536688i | ||||
\(850\) | −11.6860 | − | 1.80226i | −0.400827 | − | 0.0618168i | ||||
\(851\) | −5.35769 | + | 26.9350i | −0.183659 | + | 0.923318i | ||||
\(852\) | 27.3521 | + | 3.01222i | 0.937066 | + | 0.103197i | ||||
\(853\) | −13.3107 | − | 8.89392i | −0.455749 | − | 0.304522i | 0.306424 | − | 0.951895i | \(-0.400867\pi\) |
−0.762173 | + | 0.647373i | \(0.775867\pi\) | |||||||
\(854\) | 11.4757 | + | 4.18073i | 0.392690 | + | 0.143061i | ||||
\(855\) | −5.37936 | − | 2.22821i | −0.183970 | − | 0.0762030i | ||||
\(856\) | −20.2088 | + | 2.64196i | −0.690722 | + | 0.0903002i | ||||
\(857\) | 0.233105 | − | 0.0965553i | 0.00796272 | − | 0.00329827i | −0.378699 | − | 0.925520i | \(-0.623628\pi\) |
0.386661 | + | 0.922222i | \(0.373628\pi\) | |||||||
\(858\) | −1.26321 | − | 29.1336i | −0.0431252 | − | 0.994606i | ||||
\(859\) | 6.11286 | + | 30.7314i | 0.208568 | + | 1.04854i | 0.933187 | + | 0.359392i | \(0.117016\pi\) |
−0.724619 | + | 0.689150i | \(0.757984\pi\) | |||||||
\(860\) | −30.9282 | + | 2.68709i | −1.05464 | + | 0.0916289i | ||||
\(861\) | −3.50139 | − | 5.24021i | −0.119327 | − | 0.178586i | ||||
\(862\) | −3.25451 | − | 1.97622i | −0.110849 | − | 0.0673105i | ||||
\(863\) | − | 25.6911i | − | 0.874534i | −0.899332 | − | 0.437267i | \(-0.855946\pi\) | ||
0.899332 | − | 0.437267i | \(-0.144054\pi\) | |||||||
\(864\) | −5.56943 | − | 0.990693i | −0.189476 | − | 0.0337041i | ||||
\(865\) | − | 34.2154i | − | 1.16336i | ||||||
\(866\) | −6.55280 | + | 10.7914i | −0.222673 | + | 0.366705i | ||||
\(867\) | 2.03226 | + | 3.04150i | 0.0690193 | + | 0.103295i | ||||
\(868\) | −4.61068 | + | 5.48807i | −0.156497 | + | 0.186277i | ||||
\(869\) | 1.52415 | + | 7.66240i | 0.0517031 | + | 0.259929i | ||||
\(870\) | −1.50490 | + | 0.0652512i | −0.0510210 | + | 0.00221222i | ||||
\(871\) | 43.0107 | − | 17.8156i | 1.45736 | − | 0.603660i | ||||
\(872\) | 14.0071 | + | 24.3117i | 0.474340 | + | 0.823298i | ||||
\(873\) | 9.91660 | + | 4.10759i | 0.335626 | + | 0.139021i | ||||
\(874\) | −7.36053 | + | 20.2039i | −0.248973 | + | 0.683408i | ||||
\(875\) | 6.92986 | + | 4.63039i | 0.234272 | + | 0.156536i | ||||
\(876\) | −8.16638 | − | 10.1877i | −0.275917 | − | 0.344210i | ||||
\(877\) | 5.65054 | − | 28.4072i | 0.190805 | − | 0.959242i | −0.760111 | − | 0.649793i | \(-0.774856\pi\) |
0.950916 | − | 0.309449i | \(-0.100144\pi\) | |||||||
\(878\) | −3.04529 | + | 19.7460i | −0.102774 | + | 0.666395i | ||||
\(879\) | 1.33534 | + | 1.33534i | 0.0450400 | + | 0.0450400i | ||||
\(880\) | −11.9275 | − | 18.7722i | −0.402074 | − | 0.632812i | ||||
\(881\) | −10.6159 | + | 10.6159i | −0.357657 | + | 0.357657i | −0.862949 | − | 0.505291i | \(-0.831385\pi\) |
0.505291 | + | 0.862949i | \(0.331385\pi\) | |||||||
\(882\) | 5.44813 | + | 7.43501i | 0.183448 | + | 0.250350i | ||||
\(883\) | −46.6145 | − | 9.27219i | −1.56870 | − | 0.312034i | −0.667223 | − | 0.744858i | \(-0.732517\pi\) |
−0.901478 | + | 0.432824i | \(0.857517\pi\) | |||||||
\(884\) | 39.0949 | + | 21.4789i | 1.31490 | + | 0.722412i | ||||
\(885\) | 0.648540 | − | 0.970609i | 0.0218004 | − | 0.0326267i | ||||
\(886\) | 14.0931 | − | 6.56657i | 0.473469 | − | 0.220608i | ||||
\(887\) | −0.887859 | + | 2.14348i | −0.0298114 | + | 0.0719711i | −0.938084 | − | 0.346407i | \(-0.887401\pi\) |
0.908273 | + | 0.418379i | \(0.137401\pi\) | |||||||
\(888\) | −18.0260 | − | 1.19785i | −0.604911 | − | 0.0401971i | ||||
\(889\) | −2.13348 | − | 5.15067i | −0.0715545 | − | 0.172748i | ||||
\(890\) | −8.53642 | + | 9.31024i | −0.286142 | + | 0.312080i | ||||
\(891\) | 3.31210 | − | 0.658817i | 0.110959 | − | 0.0220712i | ||||
\(892\) | 8.09016 | + | 15.5639i | 0.270878 | + | 0.521119i | ||||
\(893\) | −19.1069 | + | 12.7669i | −0.639390 | + | 0.427226i | ||||
\(894\) | 21.6511 | − | 5.29108i | 0.724121 | − | 0.176960i | ||||
\(895\) | 22.5630 | 0.754197 | ||||||||
\(896\) | −6.89630 | + | 3.76454i | −0.230389 | + | 0.125764i | ||||
\(897\) | −26.2537 | −0.876587 | ||||||||
\(898\) | 30.7120 | − | 7.50538i | 1.02487 | − | 0.250458i | ||||
\(899\) | −2.77583 | + | 1.85475i | −0.0925790 | + | 0.0618593i | ||||
\(900\) | 2.11144 | + | 4.06200i | 0.0703812 | + | 0.135400i | ||||
\(901\) | −7.26490 | + | 1.44508i | −0.242029 | + | 0.0481426i | ||||
\(902\) | 29.2905 | − | 31.9456i | 0.975266 | − | 1.06367i | ||||
\(903\) | −2.50540 | − | 6.04858i | −0.0833746 | − | 0.201284i | ||||
\(904\) | −3.53348 | + | 53.1740i | −0.117522 | + | 1.76854i | ||||
\(905\) | 2.54776 | − | 6.15084i | 0.0846905 | − | 0.204461i | ||||
\(906\) | −14.1212 | + | 6.57964i | −0.469145 | + | 0.218594i | ||||
\(907\) | 9.23057 | − | 13.8145i | 0.306496 | − | 0.458704i | −0.645964 | − | 0.763368i | \(-0.723544\pi\) |
0.952460 | + | 0.304664i | \(0.0985443\pi\) | |||||||
\(908\) | −38.1992 | − | 20.9868i | −1.26769 | − | 0.696470i | ||||
\(909\) | 1.18069 | + | 0.234855i | 0.0391611 | + | 0.00778964i | ||||
\(910\) | −5.83607 | − | 7.96443i | −0.193464 | − | 0.264018i | ||||
\(911\) | −15.8780 | + | 15.8780i | −0.526061 | + | 0.526061i | −0.919395 | − | 0.393335i | \(-0.871321\pi\) |
0.393335 | + | 0.919395i | \(0.371321\pi\) | |||||||
\(912\) | −13.8062 | − | 3.07823i | −0.457171 | − | 0.101930i | ||||
\(913\) | 2.89484 | + | 2.89484i | 0.0958053 | + | 0.0958053i | ||||
\(914\) | 2.34312 | − | 15.1931i | 0.0775037 | − | 0.502542i | ||||
\(915\) | −3.99467 | + | 20.0826i | −0.132060 | + | 0.663909i | ||||
\(916\) | −30.7581 | − | 38.3711i | −1.01628 | − | 1.26782i | ||||
\(917\) | −12.7197 | − | 8.49906i | −0.420043 | − | 0.280664i | ||||
\(918\) | −1.76822 | + | 4.85360i | −0.0583600 | + | 0.160193i | ||||
\(919\) | 25.4657 | + | 10.5482i | 0.840036 | + | 0.347954i | 0.760868 | − | 0.648907i | \(-0.224774\pi\) |
0.0791681 | + | 0.996861i | \(0.474774\pi\) | |||||||
\(920\) | −17.3500 | + | 9.99613i | −0.572012 | + | 0.329563i | ||||
\(921\) | 2.17226 | − | 0.899781i | 0.0715785 | − | 0.0296488i | ||||
\(922\) | −5.85225 | + | 0.253748i | −0.192733 | + | 0.00835675i | ||||
\(923\) | 16.3897 | + | 82.3968i | 0.539475 | + | 2.71212i | ||||
\(924\) | 3.01706 | − | 3.59119i | 0.0992539 | − | 0.118142i | ||||
\(925\) | 8.12258 | + | 12.1563i | 0.267069 | + | 0.399697i | ||||
\(926\) | 10.7503 | − | 17.7039i | 0.353276 | − | 0.581786i | ||||
\(927\) | 10.6940i | 0.351237i | ||||||||
\(928\) | −3.57386 | + | 0.786659i | −0.117318 | + | 0.0258233i | ||||
\(929\) | − | 0.420540i | − | 0.0137975i | −0.999976 | − | 0.00689874i | \(-0.997804\pi\) | ||
0.999976 | − | 0.00689874i | \(-0.00219595\pi\) | |||||||
\(930\) | −10.2714 | − | 6.23710i | −0.336814 | − | 0.204523i | ||||
\(931\) | 12.8052 | + | 19.1643i | 0.419673 | + | 0.628085i | ||||
\(932\) | −24.0275 | + | 2.08755i | −0.787049 | + | 0.0683800i | ||||
\(933\) | −2.21065 | − | 11.1137i | −0.0723735 | − | 0.363846i | ||||
\(934\) | 2.18585 | + | 50.4128i | 0.0715233 | + | 1.64956i | ||||
\(935\) | −18.7638 | + | 7.77221i | −0.613641 | + | 0.254178i | ||||
\(936\) | −2.23877 | − | 17.1247i | −0.0731765 | − | 0.559739i | ||||
\(937\) | 8.79787 | + | 3.64420i | 0.287414 | + | 0.119051i | 0.521733 | − | 0.853109i | \(-0.325286\pi\) |
−0.234319 | + | 0.972160i | \(0.575286\pi\) | |||||||
\(938\) | 7.03561 | + | 2.56315i | 0.229721 | + | 0.0836899i | ||||
\(939\) | 20.5747 | + | 13.7476i | 0.671429 | + | 0.448635i | ||||
\(940\) | −21.2702 | − | 2.34244i | −0.693757 | − | 0.0764019i | ||||
\(941\) | −1.79951 | + | 9.04673i | −0.0586623 | + | 0.294915i | −0.998968 | − | 0.0454152i | \(-0.985539\pi\) |
0.940306 | + | 0.340330i | \(0.110539\pi\) | |||||||
\(942\) | −19.3960 | − | 2.99131i | −0.631955 | − | 0.0974620i | ||||
\(943\) | −27.5914 | − | 27.5914i | −0.898499 | − | 0.898499i | ||||
\(944\) | 1.14528 | − | 2.59437i | 0.0372757 | − | 0.0844394i | ||||
\(945\) | 0.808529 | − | 0.808529i | 0.0263014 | − | 0.0263014i | ||||
\(946\) | 36.3167 | − | 26.6117i | 1.18076 | − | 0.865221i | ||||
\(947\) | −5.83461 | − | 1.16058i | −0.189599 | − | 0.0377136i | 0.0993772 | − | 0.995050i | \(-0.468315\pi\) |
−0.288977 | + | 0.957336i | \(0.593315\pi\) | |||||||
\(948\) | 1.29207 | + | 4.44286i | 0.0419645 | + | 0.144297i | ||||
\(949\) | 22.1464 | − | 33.1444i | 0.718901 | − | 1.07591i | ||||
\(950\) | 4.83480 | + | 10.3764i | 0.156862 | + | 0.336655i | ||||
\(951\) | −9.57476 | + | 23.1155i | −0.310483 | + | 0.749572i | ||||
\(952\) | 2.30008 | + | 6.79598i | 0.0745460 | + | 0.220259i | ||||
\(953\) | −1.40708 | − | 3.39700i | −0.0455799 | − | 0.110040i | 0.899450 | − | 0.437024i | \(-0.143968\pi\) |
−0.945030 | + | 0.326984i | \(0.893968\pi\) | |||||||
\(954\) | 2.11383 | + | 1.93814i | 0.0684379 | + | 0.0627497i | ||||
\(955\) | 21.0034 | − | 4.17783i | 0.679653 | − | 0.135191i | ||||
\(956\) | 47.0262 | + | 14.8585i | 1.52094 | + | 0.480557i | ||||
\(957\) | 1.81640 | − | 1.21368i | 0.0587158 | − | 0.0392327i | ||||
\(958\) | −0.378771 | − | 1.54993i | −0.0122375 | − | 0.0500760i | ||||
\(959\) | −8.68742 | −0.280532 | ||||||||
\(960\) | −7.99976 | − | 10.4646i | −0.258191 | − | 0.337744i | ||||
\(961\) | 4.36703 | 0.140872 | ||||||||
\(962\) | −13.0934 | − | 53.5782i | −0.422148 | − | 1.72743i | ||||
\(963\) | 5.99130 | − | 4.00326i | 0.193067 | − | 0.129003i | ||||
\(964\) | −12.2798 | + | 38.8650i | −0.395507 | + | 1.25176i | ||||
\(965\) | −16.6497 | + | 3.31182i | −0.535971 | + | 0.106611i | ||||
\(966\) | −3.11246 | − | 2.85377i | −0.100142 | − | 0.0918185i | ||||
\(967\) | 14.2117 | + | 34.3101i | 0.457017 | + | 1.10334i | 0.969599 | + | 0.244699i | \(0.0786892\pi\) |
−0.512582 | + | 0.858639i | \(0.671311\pi\) | |||||||
\(968\) | 1.02442 | + | 0.506339i | 0.0329260 | + | 0.0162743i | ||||
\(969\) | −4.94312 | + | 11.9337i | −0.158796 | + | 0.383367i | ||||
\(970\) | 10.5559 | + | 22.6550i | 0.338929 | + | 0.727408i | ||||
\(971\) | 14.2494 | − | 21.3258i | 0.457286 | − | 0.684377i | −0.529149 | − | 0.848529i | \(-0.677489\pi\) |
0.986435 | + | 0.164152i | \(0.0524888\pi\) | |||||||
\(972\) | 1.92044 | − | 0.558501i | 0.0615980 | − | 0.0179139i | ||||
\(973\) | 11.8513 | + | 2.35737i | 0.379934 | + | 0.0755737i | ||||
\(974\) | 24.1625 | − | 17.7055i | 0.774215 | − | 0.567319i | ||||
\(975\) | −9.88301 | + | 9.88301i | −0.316509 | + | 0.316509i | ||||
\(976\) | −1.14509 | + | 49.7307i | −0.0366534 | + | 1.59184i | ||||
\(977\) | 6.15021 | + | 6.15021i | 0.196763 | + | 0.196763i | 0.798611 | − | 0.601848i | \(-0.205569\pi\) |
−0.601848 | + | 0.798611i | \(0.705569\pi\) | |||||||
\(978\) | 16.0830 | + | 2.48038i | 0.514279 | + | 0.0793137i | ||||
\(979\) | 3.57383 | − | 17.9669i | 0.114220 | − | 0.574224i | ||||
\(980\) | −2.34947 | + | 21.3341i | −0.0750510 | + | 0.681492i | ||||
\(981\) | −8.24821 | − | 5.51128i | −0.263345 | − | 0.175962i | ||||
\(982\) | −34.8604 | − | 12.7000i | −1.11244 | − | 0.405275i | ||||
\(983\) | 23.4412 | + | 9.70966i | 0.747658 | + | 0.309690i | 0.723786 | − | 0.690025i | \(-0.242400\pi\) |
0.0238726 | + | 0.999715i | \(0.492400\pi\) | |||||||
\(984\) | 15.6444 | − | 20.3501i | 0.498726 | − | 0.648737i | ||||
\(985\) | 0.0172064 | − | 0.00712713i | 0.000548242 | − | 0.000227089i | ||||
\(986\) | 0.144755 | + | 3.33852i | 0.00460995 | + | 0.106320i | ||||
\(987\) | −0.880391 | − | 4.42603i | −0.0280232 | − | 0.140882i | ||||
\(988\) | −3.73795 | − | 43.0236i | −0.118920 | − | 1.36876i | ||||
\(989\) | −22.5197 | − | 33.7032i | −0.716086 | − | 1.07170i | ||||
\(990\) | 6.72126 | + | 4.08133i | 0.213616 | + | 0.129713i | ||||
\(991\) | − | 37.6680i | − | 1.19656i | −0.801286 | − | 0.598281i | \(-0.795850\pi\) | ||
0.801286 | − | 0.598281i | \(-0.204150\pi\) | |||||||
\(992\) | −27.1925 | − | 10.6218i | −0.863363 | − | 0.337242i | ||||
\(993\) | − | 8.04076i | − | 0.255166i | ||||||
\(994\) | −7.01345 | + | 11.5500i | −0.222453 | + | 0.366342i | ||||
\(995\) | −14.3528 | − | 21.4804i | −0.455014 | − | 0.680976i | ||||
\(996\) | 1.85642 | + | 1.55962i | 0.0588228 | + | 0.0494186i | ||||
\(997\) | −6.03215 | − | 30.3256i | −0.191040 | − | 0.960423i | −0.950702 | − | 0.310105i | \(-0.899636\pi\) |
0.759662 | − | 0.650318i | \(-0.225364\pi\) | |||||||
\(998\) | −19.3178 | + | 0.837602i | −0.611494 | + | 0.0265138i | ||||
\(999\) | 5.90100 | − | 2.44427i | 0.186699 | − | 0.0773334i |
(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 | 192.2.r.a.13.2 | ✓ | 128 | |
3.2 | odd | 2 | 576.2.bd.b.397.15 | 128 | |||
4.3 | odd | 2 | 768.2.r.a.145.11 | 128 | |||
64.5 | even | 16 | inner | 192.2.r.a.133.2 | yes | 128 | |
64.59 | odd | 16 | 768.2.r.a.625.11 | 128 | |||
192.5 | odd | 16 | 576.2.bd.b.325.15 | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.r.a.13.2 | ✓ | 128 | 1.1 | even | 1 | trivial | |
192.2.r.a.133.2 | yes | 128 | 64.5 | even | 16 | inner | |
576.2.bd.b.325.15 | 128 | 192.5 | odd | 16 | |||
576.2.bd.b.397.15 | 128 | 3.2 | odd | 2 | |||
768.2.r.a.145.11 | 128 | 4.3 | odd | 2 | |||
768.2.r.a.625.11 | 128 | 64.59 | odd | 16 |