Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [234,2,Mod(41,234)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(234, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("234.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 234 = 2 \cdot 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 234.z (of order \(12\), degree \(4\), 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: | \(1.86849940730\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 227.1 | ||
Character | \(\chi\) | \(=\) | 234.227 |
Dual form | 234.2.z.a.167.1 |
$q$-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 \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | + | 0.965926i | −0.183013 | + | 0.683013i | ||||
\(3\) | −1.66097 | − | 0.491112i | −0.958959 | − | 0.283543i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 0.174335 | − | 0.650628i | 0.0779651 | − | 0.290970i | −0.915924 | − | 0.401351i | \(-0.868541\pi\) |
0.993889 | + | 0.110382i | \(0.0352073\pi\) | |||||||
\(6\) | 0.904267 | − | 1.47726i | 0.369165 | − | 0.603089i | ||||
\(7\) | 1.26694 | + | 1.26694i | 0.478859 | + | 0.478859i | 0.904767 | − | 0.425907i | \(-0.140045\pi\) |
−0.425907 | + | 0.904767i | \(0.640045\pi\) | |||||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 2.51762 | + | 1.63144i | 0.839206 | + | 0.543813i | ||||
\(10\) | 0.583337 | + | 0.336790i | 0.184467 | + | 0.106502i | ||||
\(11\) | 0.952090 | + | 0.255112i | 0.287066 | + | 0.0769190i | 0.399479 | − | 0.916743i | \(-0.369191\pi\) |
−0.112413 | + | 0.993662i | \(0.535858\pi\) | |||||||
\(12\) | 1.19288 | + | 1.25580i | 0.344356 | + | 0.362518i | ||||
\(13\) | 2.90807 | + | 2.13146i | 0.806554 | + | 0.591161i | ||||
\(14\) | −1.55168 | + | 0.895864i | −0.414704 | + | 0.239430i | ||||
\(15\) | −0.609096 | + | 0.995053i | −0.157268 | + | 0.256922i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 1.20946 | + | 2.09485i | 0.293337 | + | 0.508075i | 0.974597 | − | 0.223967i | \(-0.0719009\pi\) |
−0.681260 | + | 0.732042i | \(0.738568\pi\) | |||||||
\(18\) | −2.22746 | + | 2.00959i | −0.525017 | + | 0.473664i | ||||
\(19\) | 6.33213 | + | 1.69669i | 1.45269 | + | 0.389247i | 0.896959 | − | 0.442114i | \(-0.145771\pi\) |
0.555732 | + | 0.831361i | \(0.312438\pi\) | |||||||
\(20\) | −0.476293 | + | 0.476293i | −0.106502 | + | 0.106502i | ||||
\(21\) | −1.48214 | − | 2.72656i | −0.323429 | − | 0.594984i | ||||
\(22\) | −0.492838 | + | 0.853620i | −0.105073 | + | 0.181992i | ||||
\(23\) | −6.32605 | −1.31907 | −0.659536 | − | 0.751673i | \(-0.729247\pi\) | ||||
−0.659536 | + | 0.751673i | \(0.729247\pi\) | |||||||
\(24\) | −1.52175 | + | 0.827212i | −0.310626 | + | 0.168854i | ||||
\(25\) | 3.93720 | + | 2.27315i | 0.787441 | + | 0.454629i | ||||
\(26\) | −2.81150 | + | 2.25732i | −0.551380 | + | 0.442696i | ||||
\(27\) | −3.38046 | − | 3.94620i | −0.650570 | − | 0.759446i | ||||
\(28\) | −0.463733 | − | 1.73068i | −0.0876374 | − | 0.327067i | ||||
\(29\) | 3.71748 | − | 2.14629i | 0.690318 | − | 0.398555i | −0.113413 | − | 0.993548i | \(-0.536178\pi\) |
0.803731 | + | 0.594993i | \(0.202845\pi\) | |||||||
\(30\) | −0.803502 | − | 0.845880i | −0.146699 | − | 0.154436i | ||||
\(31\) | −5.59289 | − | 1.49861i | −1.00451 | − | 0.269158i | −0.281178 | − | 0.959656i | \(-0.590725\pi\) |
−0.723335 | + | 0.690498i | \(0.757392\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | −1.45610 | − | 0.891314i | −0.253475 | − | 0.155158i | ||||
\(34\) | −2.33650 | + | 0.626062i | −0.400706 | + | 0.107369i | ||||
\(35\) | 1.04518 | − | 0.603436i | 0.176668 | − | 0.101999i | ||||
\(36\) | −1.36460 | − | 2.67168i | −0.227434 | − | 0.445280i | ||||
\(37\) | 6.83094 | − | 1.83034i | 1.12300 | − | 0.300907i | 0.350902 | − | 0.936412i | \(-0.385875\pi\) |
0.772096 | + | 0.635505i | \(0.219208\pi\) | |||||||
\(38\) | −3.27775 | + | 5.67724i | −0.531722 | + | 0.920969i | ||||
\(39\) | −3.78342 | − | 4.96847i | −0.605832 | − | 0.795592i | ||||
\(40\) | −0.336790 | − | 0.583337i | −0.0532512 | − | 0.0922337i | ||||
\(41\) | −3.51849 | − | 3.51849i | −0.549496 | − | 0.549496i | 0.376799 | − | 0.926295i | \(-0.377025\pi\) |
−0.926295 | + | 0.376799i | \(0.877025\pi\) | |||||||
\(42\) | 3.01726 | − | 0.725951i | 0.465573 | − | 0.112017i | ||||
\(43\) | 0.892279i | 0.136071i | 0.997683 | + | 0.0680356i | \(0.0216731\pi\) | ||||
−0.997683 | + | 0.0680356i | \(0.978327\pi\) | |||||||
\(44\) | −0.696978 | − | 0.696978i | −0.105073 | − | 0.105073i | ||||
\(45\) | 1.50037 | − | 1.35362i | 0.223662 | − | 0.201785i | ||||
\(46\) | 1.63730 | − | 6.11049i | 0.241407 | − | 0.900943i | ||||
\(47\) | −0.981707 | − | 3.66378i | −0.143197 | − | 0.534417i | −0.999829 | − | 0.0184899i | \(-0.994114\pi\) |
0.856632 | − | 0.515927i | \(-0.172553\pi\) | |||||||
\(48\) | −0.405168 | − | 1.68399i | −0.0584810 | − | 0.243064i | ||||
\(49\) | − | 3.78971i | − | 0.541387i | ||||||
\(50\) | −3.21471 | + | 3.21471i | −0.454629 | + | 0.454629i | ||||
\(51\) | −0.980069 | − | 4.07345i | −0.137237 | − | 0.570397i | ||||
\(52\) | −1.45273 | − | 3.29993i | −0.201458 | − | 0.457619i | ||||
\(53\) | 9.00014i | 1.23626i | 0.786074 | + | 0.618132i | \(0.212110\pi\) | ||||
−0.786074 | + | 0.618132i | \(0.787890\pi\) | |||||||
\(54\) | 4.68666 | − | 2.24392i | 0.637774 | − | 0.305359i | ||||
\(55\) | 0.331966 | − | 0.574981i | 0.0447622 | − | 0.0775305i | ||||
\(56\) | 1.79173 | 0.239430 | ||||||||
\(57\) | −9.68420 | − | 5.92793i | −1.28270 | − | 0.785173i | ||||
\(58\) | 1.11100 | + | 4.14631i | 0.145881 | + | 0.544437i | ||||
\(59\) | 1.22237 | + | 4.56196i | 0.159139 | + | 0.593917i | 0.998715 | + | 0.0506741i | \(0.0161370\pi\) |
−0.839576 | + | 0.543243i | \(0.817196\pi\) | |||||||
\(60\) | 1.02502 | − | 0.557194i | 0.132329 | − | 0.0719334i | ||||
\(61\) | 4.76398 | 0.609965 | 0.304982 | − | 0.952358i | \(-0.401349\pi\) | ||||
0.304982 | + | 0.952358i | \(0.401349\pi\) | |||||||
\(62\) | 2.89509 | − | 5.01445i | 0.367677 | − | 0.636835i | ||||
\(63\) | 1.12274 | + | 5.25662i | 0.141452 | + | 0.662272i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 1.89377 | − | 1.52048i | 0.234893 | − | 0.188593i | ||||
\(66\) | 1.23781 | − | 1.17580i | 0.152364 | − | 0.144730i | ||||
\(67\) | −7.82927 | + | 7.82927i | −0.956498 | + | 0.956498i | −0.999092 | − | 0.0425948i | \(-0.986438\pi\) |
0.0425948 | + | 0.999092i | \(0.486438\pi\) | |||||||
\(68\) | − | 2.41892i | − | 0.293337i | ||||||
\(69\) | 10.5074 | + | 3.10679i | 1.26494 | + | 0.374014i | ||||
\(70\) | 0.312361 | + | 1.16575i | 0.0373343 | + | 0.139334i | ||||
\(71\) | 1.70900 | − | 6.37808i | 0.202821 | − | 0.756939i | −0.787281 | − | 0.616594i | \(-0.788512\pi\) |
0.990103 | − | 0.140345i | \(-0.0448212\pi\) | |||||||
\(72\) | 2.93383 | − | 0.626624i | 0.345755 | − | 0.0738483i | ||||
\(73\) | −8.01788 | − | 8.01788i | −0.938421 | − | 0.938421i | 0.0597896 | − | 0.998211i | \(-0.480957\pi\) |
−0.998211 | + | 0.0597896i | \(0.980957\pi\) | |||||||
\(74\) | 7.07190i | 0.822092i | ||||||||
\(75\) | −5.42319 | − | 5.70922i | −0.626217 | − | 0.659244i | ||||
\(76\) | −4.63544 | − | 4.63544i | −0.531722 | − | 0.531722i | ||||
\(77\) | 0.883031 | + | 1.52946i | 0.100631 | + | 0.174298i | ||||
\(78\) | 5.77840 | − | 2.36857i | 0.654275 | − | 0.268188i | ||||
\(79\) | −0.807117 | + | 1.39797i | −0.0908078 | + | 0.157284i | −0.907851 | − | 0.419292i | \(-0.862278\pi\) |
0.817043 | + | 0.576576i | \(0.195612\pi\) | |||||||
\(80\) | 0.650628 | − | 0.174335i | 0.0727424 | − | 0.0194913i | ||||
\(81\) | 3.67681 | + | 8.21469i | 0.408534 | + | 0.912743i | ||||
\(82\) | 4.30925 | − | 2.48795i | 0.475877 | − | 0.274748i | ||||
\(83\) | −7.31055 | + | 1.95885i | −0.802437 | + | 0.215012i | −0.636653 | − | 0.771150i | \(-0.719682\pi\) |
−0.165783 | + | 0.986162i | \(0.553015\pi\) | |||||||
\(84\) | −0.0797096 | + | 3.10234i | −0.00869703 | + | 0.338493i | ||||
\(85\) | 1.57382 | − | 0.421703i | 0.170704 | − | 0.0457401i | ||||
\(86\) | −0.861875 | − | 0.230939i | −0.0929384 | − | 0.0249028i | ||||
\(87\) | −7.22867 | + | 1.73921i | −0.774995 | + | 0.186463i | ||||
\(88\) | 0.853620 | − | 0.492838i | 0.0909962 | − | 0.0525367i | ||||
\(89\) | 0.440877 | + | 1.64537i | 0.0467329 | + | 0.174409i | 0.985348 | − | 0.170557i | \(-0.0545568\pi\) |
−0.938615 | + | 0.344967i | \(0.887890\pi\) | |||||||
\(90\) | 0.919169 | + | 1.79959i | 0.0968889 | + | 0.189693i | ||||
\(91\) | 0.983920 | + | 6.38480i | 0.103143 | + | 0.669309i | ||||
\(92\) | 5.47852 | + | 3.16302i | 0.571175 | + | 0.329768i | ||||
\(93\) | 8.55361 | + | 5.23587i | 0.886968 | + | 0.542935i | ||||
\(94\) | 3.79302 | 0.391220 | ||||||||
\(95\) | 2.20783 | − | 3.82407i | 0.226518 | − | 0.392341i | ||||
\(96\) | 1.73148 | + | 0.0444876i | 0.176718 | + | 0.00454049i | ||||
\(97\) | −1.35833 | + | 1.35833i | −0.137917 | + | 0.137917i | −0.772695 | − | 0.634778i | \(-0.781092\pi\) |
0.634778 | + | 0.772695i | \(0.281092\pi\) | |||||||
\(98\) | 3.66058 | + | 0.980849i | 0.369774 | + | 0.0990807i | ||||
\(99\) | 1.98080 | + | 2.19555i | 0.199078 | + | 0.220661i | ||||
\(100\) | −2.27315 | − | 3.93720i | −0.227315 | − | 0.393720i | ||||
\(101\) | −7.44597 | − | 12.8968i | −0.740902 | − | 1.28328i | −0.952085 | − | 0.305833i | \(-0.901065\pi\) |
0.211183 | − | 0.977446i | \(-0.432268\pi\) | |||||||
\(102\) | 4.18831 | + | 0.107612i | 0.414704 | + | 0.0106552i | ||||
\(103\) | −9.08751 | + | 5.24668i | −0.895419 | + | 0.516971i | −0.875711 | − | 0.482835i | \(-0.839607\pi\) |
−0.0197081 | + | 0.999806i | \(0.506274\pi\) | |||||||
\(104\) | 3.56349 | − | 0.549146i | 0.349429 | − | 0.0538482i | ||||
\(105\) | −2.03237 | + | 0.488986i | −0.198339 | + | 0.0477202i | ||||
\(106\) | −8.69347 | − | 2.32941i | −0.844384 | − | 0.226252i | ||||
\(107\) | 1.87899 | + | 1.08484i | 0.181649 | + | 0.104875i | 0.588067 | − | 0.808812i | \(-0.299889\pi\) |
−0.406418 | + | 0.913687i | \(0.633222\pi\) | |||||||
\(108\) | 0.954467 | + | 5.10774i | 0.0918436 | + | 0.491492i | ||||
\(109\) | −8.28528 | + | 8.28528i | −0.793586 | + | 0.793586i | −0.982075 | − | 0.188489i | \(-0.939641\pi\) |
0.188489 | + | 0.982075i | \(0.439641\pi\) | |||||||
\(110\) | 0.469470 | + | 0.469470i | 0.0447622 | + | 0.0447622i | ||||
\(111\) | −12.2449 | − | 0.314612i | −1.16223 | − | 0.0298616i | ||||
\(112\) | −0.463733 | + | 1.73068i | −0.0438187 | + | 0.163534i | ||||
\(113\) | 9.60049 | + | 5.54284i | 0.903138 | + | 0.521427i | 0.878217 | − | 0.478263i | \(-0.158733\pi\) |
0.0249209 | + | 0.999689i | \(0.492067\pi\) | |||||||
\(114\) | 8.23240 | − | 7.81996i | 0.771034 | − | 0.732406i | ||||
\(115\) | −1.10285 | + | 4.11590i | −0.102842 | + | 0.383810i | ||||
\(116\) | −4.29257 | −0.398555 | ||||||||
\(117\) | 3.84406 | + | 10.1105i | 0.355384 | + | 0.934720i | ||||
\(118\) | −4.72289 | −0.434777 | ||||||||
\(119\) | −1.12173 | + | 4.18637i | −0.102829 | + | 0.383764i | ||||
\(120\) | 0.272913 | + | 1.13430i | 0.0249134 | + | 0.103547i | ||||
\(121\) | −8.68489 | − | 5.01422i | −0.789535 | − | 0.455838i | ||||
\(122\) | −1.23301 | + | 4.60165i | −0.111631 | + | 0.416614i | ||||
\(123\) | 4.11612 | + | 7.57206i | 0.371138 | + | 0.682750i | ||||
\(124\) | 4.09428 | + | 4.09428i | 0.367677 | + | 0.367677i | ||||
\(125\) | 4.54683 | − | 4.54683i | 0.406681 | − | 0.406681i | ||||
\(126\) | −5.36809 | − | 0.276031i | −0.478228 | − | 0.0245908i | ||||
\(127\) | 4.33197 | + | 2.50106i | 0.384400 | + | 0.221933i | 0.679731 | − | 0.733462i | \(-0.262097\pi\) |
−0.295331 | + | 0.955395i | \(0.595430\pi\) | |||||||
\(128\) | 0.965926 | + | 0.258819i | 0.0853766 | + | 0.0228766i | ||||
\(129\) | 0.438208 | − | 1.48204i | 0.0385821 | − | 0.130487i | ||||
\(130\) | 0.978531 | + | 2.22277i | 0.0858229 | + | 0.194950i | ||||
\(131\) | 19.0361 | − | 10.9905i | 1.66319 | − | 0.960242i | 0.692010 | − | 0.721888i | \(-0.256725\pi\) |
0.971178 | − | 0.238354i | \(-0.0766080\pi\) | |||||||
\(132\) | 0.815363 | + | 1.49995i | 0.0709682 | + | 0.130554i | ||||
\(133\) | 5.87284 | + | 10.1721i | 0.509240 | + | 0.882030i | ||||
\(134\) | −5.53613 | − | 9.58886i | −0.478249 | − | 0.828351i | ||||
\(135\) | −3.15684 | + | 1.51146i | −0.271698 | + | 0.130086i | ||||
\(136\) | 2.33650 | + | 0.626062i | 0.200353 | + | 0.0536844i | ||||
\(137\) | −8.90180 | + | 8.90180i | −0.760532 | + | 0.760532i | −0.976419 | − | 0.215886i | \(-0.930736\pi\) |
0.215886 | + | 0.976419i | \(0.430736\pi\) | |||||||
\(138\) | −5.72044 | + | 9.34522i | −0.486956 | + | 0.795518i | ||||
\(139\) | 9.84823 | − | 17.0576i | 0.835316 | − | 1.44681i | −0.0584566 | − | 0.998290i | \(-0.518618\pi\) |
0.893773 | − | 0.448520i | \(-0.148049\pi\) | |||||||
\(140\) | −1.20687 | −0.101999 | ||||||||
\(141\) | −0.168742 | + | 6.56754i | −0.0142107 | + | 0.553087i | ||||
\(142\) | 5.71843 | + | 3.30154i | 0.479880 | + | 0.277059i | ||||
\(143\) | 2.22498 | + | 2.77122i | 0.186062 | + | 0.231741i | ||||
\(144\) | −0.154059 | + | 2.99604i | −0.0128382 | + | 0.249670i | ||||
\(145\) | −0.748347 | − | 2.79287i | −0.0621468 | − | 0.231935i | ||||
\(146\) | 9.81985 | − | 5.66949i | 0.812697 | − | 0.469211i | ||||
\(147\) | −1.86117 | + | 6.29458i | −0.153507 | + | 0.519168i | ||||
\(148\) | −6.83094 | − | 1.83034i | −0.561499 | − | 0.150453i | ||||
\(149\) | −9.34027 | + | 2.50272i | −0.765185 | + | 0.205031i | −0.620243 | − | 0.784410i | \(-0.712966\pi\) |
−0.144942 | + | 0.989440i | \(0.546299\pi\) | |||||||
\(150\) | 6.91831 | − | 3.76075i | 0.564878 | − | 0.307064i | ||||
\(151\) | 4.80308 | − | 1.28698i | 0.390869 | − | 0.104733i | −0.0580316 | − | 0.998315i | \(-0.518482\pi\) |
0.448900 | + | 0.893582i | \(0.351816\pi\) | |||||||
\(152\) | 5.67724 | − | 3.27775i | 0.460485 | − | 0.265861i | ||||
\(153\) | −0.372655 | + | 7.24718i | −0.0301274 | + | 0.585900i | ||||
\(154\) | −1.70589 | + | 0.457091i | −0.137464 | + | 0.0368334i | ||||
\(155\) | −1.95008 | + | 3.37763i | −0.156634 | + | 0.271298i | ||||
\(156\) | 0.792304 | + | 6.19453i | 0.0634351 | + | 0.495960i | ||||
\(157\) | −4.86181 | − | 8.42090i | −0.388015 | − | 0.672061i | 0.604168 | − | 0.796857i | \(-0.293506\pi\) |
−0.992182 | + | 0.124796i | \(0.960172\pi\) | |||||||
\(158\) | −1.14144 | − | 1.14144i | −0.0908078 | − | 0.0908078i | ||||
\(159\) | 4.42007 | − | 14.9489i | 0.350535 | − | 1.18553i | ||||
\(160\) | 0.673580i | 0.0532512i | ||||||||
\(161\) | −8.01474 | − | 8.01474i | −0.631650 | − | 0.631650i | ||||
\(162\) | −8.88641 | + | 1.42541i | −0.698182 | + | 0.111991i | ||||
\(163\) | 1.24717 | − | 4.65451i | 0.0976861 | − | 0.364570i | −0.899727 | − | 0.436453i | \(-0.856234\pi\) |
0.997413 | + | 0.0718838i | \(0.0229011\pi\) | |||||||
\(164\) | 1.28786 | + | 4.80634i | 0.100565 | + | 0.375312i | ||||
\(165\) | −0.833764 | + | 0.791992i | −0.0649084 | + | 0.0616565i | ||||
\(166\) | − | 7.56843i | − | 0.587424i | ||||||
\(167\) | 10.0054 | − | 10.0054i | 0.774242 | − | 0.774242i | −0.204603 | − | 0.978845i | \(-0.565590\pi\) |
0.978845 | + | 0.204603i | \(0.0655903\pi\) | |||||||
\(168\) | −2.97600 | − | 0.879938i | −0.229603 | − | 0.0678887i | ||||
\(169\) | 3.91375 | + | 12.3969i | 0.301058 | + | 0.953606i | ||||
\(170\) | 1.62934i | 0.124964i | ||||||||
\(171\) | 13.1739 | + | 14.6021i | 1.00743 | + | 1.11665i | ||||
\(172\) | 0.446139 | − | 0.772736i | 0.0340178 | − | 0.0589206i | ||||
\(173\) | 23.1979 | 1.76370 | 0.881852 | − | 0.471527i | \(-0.156297\pi\) | ||||
0.881852 | + | 0.471527i | \(0.156297\pi\) | |||||||
\(174\) | 0.190966 | − | 7.43250i | 0.0144771 | − | 0.563456i | ||||
\(175\) | 2.10827 | + | 7.86816i | 0.159370 | + | 0.594777i | ||||
\(176\) | 0.255112 | + | 0.952090i | 0.0192298 | + | 0.0717664i | ||||
\(177\) | 0.210110 | − | 8.17759i | 0.0157928 | − | 0.614665i | ||||
\(178\) | −1.70342 | −0.127677 | ||||||||
\(179\) | 2.78545 | − | 4.82455i | 0.208194 | − | 0.360603i | −0.742951 | − | 0.669345i | \(-0.766575\pi\) |
0.951146 | + | 0.308742i | \(0.0999080\pi\) | |||||||
\(180\) | −1.97617 | + | 0.422081i | −0.147295 | + | 0.0314601i | ||||
\(181\) | − | 20.8410i | − | 1.54910i | −0.632514 | − | 0.774549i | \(-0.717977\pi\) | ||
0.632514 | − | 0.774549i | \(-0.282023\pi\) | |||||||
\(182\) | −6.42190 | − | 0.702114i | −0.476023 | − | 0.0520441i | ||||
\(183\) | −7.91281 | − | 2.33964i | −0.584931 | − | 0.172951i | ||||
\(184\) | −4.47319 | + | 4.47319i | −0.329768 | + | 0.329768i | ||||
\(185\) | − | 4.76349i | − | 0.350219i | ||||||
\(186\) | −7.27130 | + | 6.90701i | −0.533158 | + | 0.506447i | ||||
\(187\) | 0.617094 | + | 2.30303i | 0.0451264 | + | 0.168414i | ||||
\(188\) | −0.981707 | + | 3.66378i | −0.0715983 | + | 0.267209i | ||||
\(189\) | 0.716755 | − | 9.28246i | 0.0521363 | − | 0.675200i | ||||
\(190\) | 3.12234 | + | 3.12234i | 0.226518 | + | 0.226518i | ||||
\(191\) | − | 18.0727i | − | 1.30769i | −0.756626 | − | 0.653847i | \(-0.773154\pi\) | ||
0.756626 | − | 0.653847i | \(-0.226846\pi\) | |||||||
\(192\) | −0.491112 | + | 1.66097i | −0.0354429 | + | 0.119870i | ||||
\(193\) | 5.20610 | + | 5.20610i | 0.374743 | + | 0.374743i | 0.869201 | − | 0.494458i | \(-0.164634\pi\) |
−0.494458 | + | 0.869201i | \(0.664634\pi\) | |||||||
\(194\) | −0.960483 | − | 1.66361i | −0.0689587 | − | 0.119440i | ||||
\(195\) | −3.89221 | + | 1.59542i | −0.278727 | + | 0.114250i | ||||
\(196\) | −1.89486 | + | 3.28199i | −0.135347 | + | 0.234428i | ||||
\(197\) | −23.6473 | + | 6.33628i | −1.68480 | + | 0.451441i | −0.969040 | − | 0.246904i | \(-0.920587\pi\) |
−0.715761 | + | 0.698345i | \(0.753920\pi\) | |||||||
\(198\) | −2.63341 | + | 1.34506i | −0.187148 | + | 0.0955889i | ||||
\(199\) | −6.97794 | + | 4.02871i | −0.494653 | + | 0.285588i | −0.726503 | − | 0.687164i | \(-0.758856\pi\) |
0.231850 | + | 0.972752i | \(0.425522\pi\) | |||||||
\(200\) | 4.39138 | − | 1.17667i | 0.310517 | − | 0.0832029i | ||||
\(201\) | 16.8492 | − | 9.15911i | 1.18845 | − | 0.646034i | ||||
\(202\) | 14.3845 | − | 3.85432i | 1.01209 | − | 0.271189i | ||||
\(203\) | 7.42905 | + | 1.99061i | 0.521417 | + | 0.139713i | ||||
\(204\) | −1.18796 | + | 4.01774i | −0.0831738 | + | 0.281298i | ||||
\(205\) | −2.90262 | + | 1.67583i | −0.202728 | + | 0.117045i | ||||
\(206\) | −2.71588 | − | 10.1358i | −0.189224 | − | 0.706195i | ||||
\(207\) | −15.9266 | − | 10.3206i | −1.10697 | − | 0.717329i | ||||
\(208\) | −0.391864 | + | 3.58419i | −0.0271709 | + | 0.248519i | ||||
\(209\) | 5.59591 | + | 3.23080i | 0.387077 | + | 0.223479i | ||||
\(210\) | 0.0536908 | − | 2.08967i | 0.00370502 | − | 0.144201i | ||||
\(211\) | −14.0818 | −0.969432 | −0.484716 | − | 0.874672i | \(-0.661077\pi\) | ||||
−0.484716 | + | 0.874672i | \(0.661077\pi\) | |||||||
\(212\) | 4.50007 | − | 7.79435i | 0.309066 | − | 0.535318i | ||||
\(213\) | −5.97094 | + | 9.75447i | −0.409122 | + | 0.668365i | ||||
\(214\) | −1.53419 | + | 1.53419i | −0.104875 | + | 0.104875i | ||||
\(215\) | 0.580542 | + | 0.155556i | 0.0395926 | + | 0.0106088i | ||||
\(216\) | −5.18073 | − | 0.400036i | −0.352504 | − | 0.0272190i | ||||
\(217\) | −5.18722 | − | 8.98452i | −0.352131 | − | 0.609909i | ||||
\(218\) | −5.85858 | − | 10.1474i | −0.396793 | − | 0.687265i | ||||
\(219\) | 9.37975 | + | 17.2551i | 0.633825 | + | 1.16599i | ||||
\(220\) | −0.574981 | + | 0.331966i | −0.0387652 | + | 0.0223811i | ||||
\(221\) | −0.947887 | + | 8.66987i | −0.0637618 | + | 0.583199i | ||||
\(222\) | 3.47309 | − | 11.7462i | 0.233099 | − | 0.788353i | ||||
\(223\) | −22.9327 | − | 6.14479i | −1.53568 | − | 0.411485i | −0.610816 | − | 0.791773i | \(-0.709158\pi\) |
−0.924868 | + | 0.380287i | \(0.875825\pi\) | |||||||
\(224\) | −1.55168 | − | 0.895864i | −0.103676 | − | 0.0598574i | ||||
\(225\) | 6.20388 | + | 12.1462i | 0.413592 | + | 0.809748i | ||||
\(226\) | −7.83876 | + | 7.83876i | −0.521427 | + | 0.521427i | ||||
\(227\) | −16.9292 | − | 16.9292i | −1.12363 | − | 1.12363i | −0.991191 | − | 0.132438i | \(-0.957719\pi\) |
−0.132438 | − | 0.991191i | \(-0.542281\pi\) | |||||||
\(228\) | 5.42280 | + | 9.97584i | 0.359134 | + | 0.660666i | ||||
\(229\) | 5.31509 | − | 19.8362i | 0.351231 | − | 1.31081i | −0.533930 | − | 0.845529i | \(-0.679286\pi\) |
0.885161 | − | 0.465284i | \(-0.154048\pi\) | |||||||
\(230\) | −3.69022 | − | 2.13055i | −0.243326 | − | 0.140484i | ||||
\(231\) | −0.715552 | − | 2.97404i | −0.0470799 | − | 0.195677i | ||||
\(232\) | 1.11100 | − | 4.14631i | 0.0729407 | − | 0.272218i | ||||
\(233\) | −2.79071 | −0.182825 | −0.0914126 | − | 0.995813i | \(-0.529138\pi\) | ||||
−0.0914126 | + | 0.995813i | \(0.529138\pi\) | |||||||
\(234\) | −10.7610 | + | 1.09628i | −0.703466 | + | 0.0716660i | ||||
\(235\) | −2.55490 | −0.166664 | ||||||||
\(236\) | 1.22237 | − | 4.56196i | 0.0795697 | − | 0.296958i | ||||
\(237\) | 2.02715 | − | 1.92559i | 0.131678 | − | 0.125081i | ||||
\(238\) | −3.75339 | − | 2.16702i | −0.243296 | − | 0.140467i | ||||
\(239\) | 2.03334 | − | 7.58852i | 0.131526 | − | 0.490861i | −0.868462 | − | 0.495755i | \(-0.834891\pi\) |
0.999988 | + | 0.00489453i | \(0.00155798\pi\) | |||||||
\(240\) | −1.16629 | − | 0.0299659i | −0.0752837 | − | 0.00193429i | ||||
\(241\) | −16.4615 | − | 16.4615i | −1.06038 | − | 1.06038i | −0.998056 | − | 0.0623240i | \(-0.980149\pi\) |
−0.0623240 | − | 0.998056i | \(-0.519851\pi\) | |||||||
\(242\) | 7.09118 | − | 7.09118i | 0.455838 | − | 0.455838i | ||||
\(243\) | −2.07273 | − | 15.4500i | −0.132966 | − | 0.991121i | ||||
\(244\) | −4.12572 | − | 2.38199i | −0.264122 | − | 0.152491i | ||||
\(245\) | −2.46569 | − | 0.660680i | −0.157527 | − | 0.0422093i | ||||
\(246\) | −8.37938 | + | 2.01607i | −0.534250 | + | 0.128540i | ||||
\(247\) | 14.7979 | + | 18.4308i | 0.941566 | + | 1.17272i | ||||
\(248\) | −5.01445 | + | 2.89509i | −0.318418 | + | 0.183839i | ||||
\(249\) | 13.1046 | + | 0.336701i | 0.830469 | + | 0.0213376i | ||||
\(250\) | 3.21509 | + | 5.56871i | 0.203340 | + | 0.352196i | ||||
\(251\) | 13.0241 | + | 22.5583i | 0.822071 | + | 1.42387i | 0.904138 | + | 0.427241i | \(0.140515\pi\) |
−0.0820668 | + | 0.996627i | \(0.526152\pi\) | |||||||
\(252\) | 1.65599 | − | 5.11374i | 0.104318 | − | 0.322135i | ||||
\(253\) | −6.02296 | − | 1.61385i | −0.378660 | − | 0.101462i | ||||
\(254\) | −3.53704 | + | 3.53704i | −0.221933 | + | 0.221933i | ||||
\(255\) | −2.82116 | − | 0.0724851i | −0.176668 | − | 0.00453920i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −7.20155 | −0.449220 | −0.224610 | − | 0.974449i | \(-0.572111\pi\) | ||||
−0.224610 | + | 0.974449i | \(0.572111\pi\) | |||||||
\(258\) | 1.31813 | + | 0.806858i | 0.0820631 | + | 0.0502328i | ||||
\(259\) | 10.9733 | + | 6.33546i | 0.681851 | + | 0.393667i | ||||
\(260\) | −2.40029 | + | 0.369894i | −0.148860 | + | 0.0229398i | ||||
\(261\) | 12.8607 | + | 0.661308i | 0.796059 | + | 0.0409339i | ||||
\(262\) | 5.68909 | + | 21.2320i | 0.351473 | + | 1.31172i | ||||
\(263\) | 9.92027 | − | 5.72747i | 0.611710 | − | 0.353171i | −0.161924 | − | 0.986803i | \(-0.551770\pi\) |
0.773634 | + | 0.633632i | \(0.218437\pi\) | |||||||
\(264\) | −1.65987 | + | 0.399364i | −0.102158 | + | 0.0245792i | ||||
\(265\) | 5.85574 | + | 1.56904i | 0.359715 | + | 0.0963855i | ||||
\(266\) | −11.3455 | + | 3.04001i | −0.695635 | + | 0.186395i | ||||
\(267\) | 0.0757809 | − | 2.94943i | 0.00463771 | − | 0.180502i | ||||
\(268\) | 10.6950 | − | 2.86571i | 0.653300 | − | 0.175051i | ||||
\(269\) | −21.7795 | + | 12.5744i | −1.32792 | + | 0.766674i | −0.984977 | − | 0.172683i | \(-0.944756\pi\) |
−0.342941 | + | 0.939357i | \(0.611423\pi\) | |||||||
\(270\) | −0.642910 | − | 3.44047i | −0.0391262 | − | 0.209380i | ||||
\(271\) | 6.17248 | − | 1.65391i | 0.374952 | − | 0.100468i | −0.0664215 | − | 0.997792i | \(-0.521158\pi\) |
0.441373 | + | 0.897324i | \(0.354492\pi\) | |||||||
\(272\) | −1.20946 | + | 2.09485i | −0.0733343 | + | 0.127019i | ||||
\(273\) | 1.50139 | − | 11.0882i | 0.0908683 | − | 0.671085i | ||||
\(274\) | −6.29452 | − | 10.9024i | −0.380266 | − | 0.658640i | ||||
\(275\) | 3.16866 | + | 3.16866i | 0.191078 | + | 0.191078i | ||||
\(276\) | −7.54624 | − | 7.94424i | −0.454230 | − | 0.478187i | ||||
\(277\) | − | 19.4429i | − | 1.16821i | −0.811679 | − | 0.584104i | \(-0.801446\pi\) | ||
0.811679 | − | 0.584104i | \(-0.198554\pi\) | |||||||
\(278\) | 13.9275 | + | 13.9275i | 0.835316 | + | 0.835316i | ||||
\(279\) | −11.6359 | − | 12.8974i | −0.696621 | − | 0.772146i | ||||
\(280\) | 0.312361 | − | 1.16575i | 0.0186672 | − | 0.0696668i | ||||
\(281\) | 7.71478 | + | 28.7919i | 0.460225 | + | 1.71758i | 0.672255 | + | 0.740320i | \(0.265326\pi\) |
−0.212030 | + | 0.977263i | \(0.568007\pi\) | |||||||
\(282\) | −6.30008 | − | 1.86280i | −0.375165 | − | 0.110928i | ||||
\(283\) | 22.0759i | 1.31228i | 0.754640 | + | 0.656139i | \(0.227812\pi\) | ||||
−0.754640 | + | 0.656139i | \(0.772188\pi\) | |||||||
\(284\) | −4.66908 | + | 4.66908i | −0.277059 | + | 0.277059i | ||||
\(285\) | −5.54518 | + | 5.26736i | −0.328468 | + | 0.312012i | ||||
\(286\) | −3.25267 | + | 1.43192i | −0.192334 | + | 0.0846714i | ||||
\(287\) | − | 8.91545i | − | 0.526262i | ||||||
\(288\) | −2.85408 | − | 0.924242i | −0.168178 | − | 0.0544615i | ||||
\(289\) | 5.57442 | − | 9.65517i | 0.327907 | − | 0.567951i | ||||
\(290\) | 2.89139 | 0.169788 | ||||||||
\(291\) | 2.92323 | − | 1.58905i | 0.171363 | − | 0.0931516i | ||||
\(292\) | 2.93475 | + | 10.9526i | 0.171743 | + | 0.640954i | ||||
\(293\) | 2.45563 | + | 9.16452i | 0.143459 | + | 0.535397i | 0.999819 | + | 0.0190176i | \(0.00605386\pi\) |
−0.856360 | + | 0.516379i | \(0.827279\pi\) | |||||||
\(294\) | −5.59839 | − | 3.42691i | −0.326505 | − | 0.199861i | ||||
\(295\) | 3.18124 | 0.185219 | ||||||||
\(296\) | 3.53595 | − | 6.12445i | 0.205523 | − | 0.355976i | ||||
\(297\) | −2.21178 | − | 4.61953i | −0.128341 | − | 0.268052i | ||||
\(298\) | − | 9.66976i | − | 0.560154i | ||||||
\(299\) | −18.3966 | − | 13.4837i | −1.06390 | − | 0.779784i | ||||
\(300\) | 1.84201 | + | 7.65593i | 0.106349 | + | 0.442015i | ||||
\(301\) | −1.13047 | + | 1.13047i | −0.0651590 | + | 0.0651590i | ||||
\(302\) | 4.97251i | 0.286136i | ||||||||
\(303\) | 6.03374 | + | 25.0780i | 0.346629 | + | 1.44069i | ||||
\(304\) | 1.69669 | + | 6.33213i | 0.0973119 | + | 0.363173i | ||||
\(305\) | 0.830529 | − | 3.09958i | 0.0475560 | − | 0.177481i | ||||
\(306\) | −6.90379 | − | 2.23567i | −0.394663 | − | 0.127805i | ||||
\(307\) | 3.35703 | + | 3.35703i | 0.191596 | + | 0.191596i | 0.796385 | − | 0.604790i | \(-0.206743\pi\) |
−0.604790 | + | 0.796385i | \(0.706743\pi\) | |||||||
\(308\) | − | 1.76606i | − | 0.100631i | ||||||
\(309\) | 17.6708 | − | 4.25157i | 1.00525 | − | 0.241864i | ||||
\(310\) | −2.75782 | − | 2.75782i | −0.156634 | − | 0.156634i | ||||
\(311\) | 10.5634 | + | 18.2964i | 0.598996 | + | 1.03749i | 0.992970 | + | 0.118370i | \(0.0377669\pi\) |
−0.393973 | + | 0.919122i | \(0.628900\pi\) | |||||||
\(312\) | −6.18852 | − | 0.837956i | −0.350356 | − | 0.0474399i | ||||
\(313\) | −5.16590 | + | 8.94760i | −0.291994 | + | 0.505748i | −0.974281 | − | 0.225336i | \(-0.927652\pi\) |
0.682287 | + | 0.731084i | \(0.260985\pi\) | |||||||
\(314\) | 9.39229 | − | 2.51666i | 0.530038 | − | 0.142023i | ||||
\(315\) | 3.61584 | + | 0.185929i | 0.203729 | + | 0.0104759i | ||||
\(316\) | 1.39797 | − | 0.807117i | 0.0786419 | − | 0.0454039i | ||||
\(317\) | −16.1862 | + | 4.33708i | −0.909108 | + | 0.243595i | −0.682924 | − | 0.730490i | \(-0.739292\pi\) |
−0.226185 | + | 0.974084i | \(0.572625\pi\) | |||||||
\(318\) | 13.2956 | + | 8.13853i | 0.745578 | + | 0.456386i | ||||
\(319\) | 4.08691 | − | 1.09509i | 0.228823 | − | 0.0613130i | ||||
\(320\) | −0.650628 | − | 0.174335i | −0.0363712 | − | 0.00974564i | ||||
\(321\) | −2.58817 | − | 2.72467i | −0.144457 | − | 0.152076i | ||||
\(322\) | 9.81601 | − | 5.66728i | 0.547025 | − | 0.315825i | ||||
\(323\) | 4.10416 | + | 15.3169i | 0.228361 | + | 0.852256i | ||||
\(324\) | 0.923132 | − | 8.95253i | 0.0512851 | − | 0.497363i | ||||
\(325\) | 6.60454 | + | 15.0025i | 0.366354 | + | 0.832187i | ||||
\(326\) | 4.17312 | + | 2.40935i | 0.231128 | + | 0.133442i | ||||
\(327\) | 17.8306 | − | 9.69257i | 0.986033 | − | 0.536001i | ||||
\(328\) | −4.97589 | −0.274748 | ||||||||
\(329\) | 3.39803 | − | 5.88557i | 0.187340 | − | 0.324482i | ||||
\(330\) | −0.549212 | − | 1.01034i | −0.0302331 | − | 0.0556172i | ||||
\(331\) | 10.4331 | − | 10.4331i | 0.573455 | − | 0.573455i | −0.359637 | − | 0.933092i | \(-0.617100\pi\) |
0.933092 | + | 0.359637i | \(0.117100\pi\) | |||||||
\(332\) | 7.31055 | + | 1.95885i | 0.401218 | + | 0.107506i | ||||
\(333\) | 20.1838 | + | 6.53615i | 1.10606 | + | 0.358179i | ||||
\(334\) | 7.07490 | + | 12.2541i | 0.387121 | + | 0.670513i | ||||
\(335\) | 3.72903 | + | 6.45886i | 0.203738 | + | 0.352885i | ||||
\(336\) | 1.62020 | − | 2.64685i | 0.0883892 | − | 0.144398i | ||||
\(337\) | −3.36489 | + | 1.94272i | −0.183297 | + | 0.105827i | −0.588841 | − | 0.808249i | \(-0.700416\pi\) |
0.405544 | + | 0.914076i | \(0.367082\pi\) | |||||||
\(338\) | −12.9874 | + | 0.571843i | −0.706422 | + | 0.0311042i | ||||
\(339\) | −13.2239 | − | 13.9214i | −0.718225 | − | 0.756106i | ||||
\(340\) | −1.57382 | − | 0.421703i | −0.0853522 | − | 0.0228701i | ||||
\(341\) | −4.94262 | − | 2.85362i | −0.267658 | − | 0.154532i | ||||
\(342\) | −17.5142 | + | 8.94566i | −0.947060 | + | 0.483726i | ||||
\(343\) | 13.6699 | − | 13.6699i | 0.738108 | − | 0.738108i | ||||
\(344\) | 0.630936 | + | 0.630936i | 0.0340178 | + | 0.0340178i | ||||
\(345\) | 3.85317 | − | 6.29475i | 0.207448 | − | 0.338898i | ||||
\(346\) | −6.00406 | + | 22.4074i | −0.322780 | + | 1.20463i | ||||
\(347\) | 27.9881 | + | 16.1590i | 1.50248 | + | 0.867459i | 0.999996 | + | 0.00287338i | \(0.000914625\pi\) |
0.502486 | + | 0.864585i | \(0.332419\pi\) | |||||||
\(348\) | 7.12982 | + | 2.10813i | 0.382198 | + | 0.113008i | ||||
\(349\) | 4.90845 | − | 18.3186i | 0.262743 | − | 0.980571i | −0.700874 | − | 0.713285i | \(-0.747207\pi\) |
0.963617 | − | 0.267286i | \(-0.0861268\pi\) | |||||||
\(350\) | −8.14572 | −0.435407 | ||||||||
\(351\) | −1.41946 | − | 18.6811i | −0.0757649 | − | 0.997126i | ||||
\(352\) | −0.985676 | −0.0525367 | ||||||||
\(353\) | 5.07215 | − | 18.9295i | 0.269963 | − | 1.00752i | −0.689178 | − | 0.724592i | \(-0.742028\pi\) |
0.959142 | − | 0.282926i | \(-0.0913050\pi\) | |||||||
\(354\) | 7.84456 | + | 2.31947i | 0.416934 | + | 0.123278i | ||||
\(355\) | −3.85182 | − | 2.22385i | −0.204433 | − | 0.118030i | ||||
\(356\) | 0.440877 | − | 1.64537i | 0.0233664 | − | 0.0872047i | ||||
\(357\) | 3.91913 | − | 6.40252i | 0.207423 | − | 0.338857i | ||||
\(358\) | 3.93922 | + | 3.93922i | 0.208194 | + | 0.208194i | ||||
\(359\) | −19.2085 | + | 19.2085i | −1.01379 | + | 1.01379i | −0.0138835 | + | 0.999904i | \(0.504419\pi\) |
−0.999904 | + | 0.0138835i | \(0.995581\pi\) | |||||||
\(360\) | 0.103771 | − | 2.01807i | 0.00546920 | − | 0.106362i | ||||
\(361\) | 20.7627 | + | 11.9873i | 1.09277 | + | 0.630913i | ||||
\(362\) | 20.1308 | + | 5.39404i | 1.05805 | + | 0.283504i | ||||
\(363\) | 11.9628 | + | 12.5937i | 0.627882 | + | 0.660998i | ||||
\(364\) | 2.34030 | − | 6.02136i | 0.122665 | − | 0.315605i | ||||
\(365\) | −6.61445 | + | 3.81886i | −0.346216 | + | 0.199888i | ||||
\(366\) | 4.30791 | − | 7.03764i | 0.225178 | − | 0.367863i | ||||
\(367\) | −3.84715 | − | 6.66345i | −0.200819 | − | 0.347829i | 0.747973 | − | 0.663729i | \(-0.231027\pi\) |
−0.948793 | + | 0.315899i | \(0.897694\pi\) | |||||||
\(368\) | −3.16302 | − | 5.47852i | −0.164884 | − | 0.285587i | ||||
\(369\) | −3.11801 | − | 14.5984i | −0.162317 | − | 0.759963i | ||||
\(370\) | 4.60118 | + | 1.23288i | 0.239204 | + | 0.0640945i | ||||
\(371\) | −11.4027 | + | 11.4027i | −0.591997 | + | 0.591997i | ||||
\(372\) | −4.78971 | − | 8.81121i | −0.248335 | − | 0.456840i | ||||
\(373\) | 8.04898 | − | 13.9412i | 0.416760 | − | 0.721850i | −0.578851 | − | 0.815433i | \(-0.696499\pi\) |
0.995611 | + | 0.0935830i | \(0.0298321\pi\) | |||||||
\(374\) | −2.38427 | −0.123288 | ||||||||
\(375\) | −9.78513 | + | 5.31913i | −0.505302 | + | 0.274679i | ||||
\(376\) | −3.28485 | − | 1.89651i | −0.169403 | − | 0.0978051i | ||||
\(377\) | 15.3854 | + | 1.68210i | 0.792389 | + | 0.0866328i | ||||
\(378\) | 8.78066 | + | 3.09481i | 0.451628 | + | 0.159180i | ||||
\(379\) | 6.71919 | + | 25.0764i | 0.345142 | + | 1.28809i | 0.892446 | + | 0.451153i | \(0.148987\pi\) |
−0.547305 | + | 0.836933i | \(0.684346\pi\) | |||||||
\(380\) | −3.82407 | + | 2.20783i | −0.196171 | + | 0.113259i | ||||
\(381\) | −5.96695 | − | 6.28166i | −0.305696 | − | 0.321819i | ||||
\(382\) | 17.4569 | + | 4.67756i | 0.893172 | + | 0.239325i | ||||
\(383\) | −30.3863 | + | 8.14198i | −1.55267 | + | 0.416036i | −0.930333 | − | 0.366716i | \(-0.880482\pi\) |
−0.622334 | + | 0.782752i | \(0.713815\pi\) | |||||||
\(384\) | −1.47726 | − | 0.904267i | −0.0753862 | − | 0.0461457i | ||||
\(385\) | 1.14905 | − | 0.307887i | 0.0585610 | − | 0.0156914i | ||||
\(386\) | −6.37614 | + | 3.68127i | −0.324537 | + | 0.187372i | ||||
\(387\) | −1.45570 | + | 2.24642i | −0.0739973 | + | 0.114192i | ||||
\(388\) | 1.85551 | − | 0.497183i | 0.0941993 | − | 0.0252406i | ||||
\(389\) | −12.6984 | + | 21.9943i | −0.643836 | + | 1.11516i | 0.340733 | + | 0.940160i | \(0.389325\pi\) |
−0.984569 | + | 0.174997i | \(0.944009\pi\) | |||||||
\(390\) | −0.533680 | − | 4.17251i | −0.0270239 | − | 0.211283i | ||||
\(391\) | −7.65110 | − | 13.2521i | −0.386933 | − | 0.670187i | ||||
\(392\) | −2.67973 | − | 2.67973i | −0.135347 | − | 0.135347i | ||||
\(393\) | −37.0158 | + | 8.90598i | −1.86720 | + | 0.449247i | ||||
\(394\) | − | 24.4815i | − | 1.23336i | ||||||
\(395\) | 0.768848 | + | 0.768848i | 0.0386850 | + | 0.0386850i | ||||
\(396\) | −0.617648 | − | 2.89180i | −0.0310380 | − | 0.145319i | ||||
\(397\) | 0.337126 | − | 1.25817i | 0.0169199 | − | 0.0631458i | −0.956950 | − | 0.290254i | \(-0.906260\pi\) |
0.973870 | + | 0.227108i | \(0.0729270\pi\) | |||||||
\(398\) | −2.08542 | − | 7.78288i | −0.104532 | − | 0.390120i | ||||
\(399\) | −4.75898 | − | 19.7797i | −0.238247 | − | 0.990222i | ||||
\(400\) | 4.54629i | 0.227315i | ||||||||
\(401\) | 1.01652 | − | 1.01652i | 0.0507627 | − | 0.0507627i | −0.681270 | − | 0.732032i | \(-0.738572\pi\) |
0.732032 | + | 0.681270i | \(0.238572\pi\) | |||||||
\(402\) | 4.48613 | + | 18.6456i | 0.223748 | + | 0.929960i | ||||
\(403\) | −13.0703 | − | 16.2791i | −0.651077 | − | 0.810919i | ||||
\(404\) | 14.8919i | 0.740902i | ||||||||
\(405\) | 5.98570 | − | 0.960127i | 0.297432 | − | 0.0477091i | ||||
\(406\) | −3.84556 | + | 6.66071i | −0.190852 | + | 0.330565i | ||||
\(407\) | 6.97060 | 0.345520 | ||||||||
\(408\) | −3.57338 | − | 2.18735i | −0.176908 | − | 0.108290i | ||||
\(409\) | 5.94553 | + | 22.1890i | 0.293987 | + | 1.09718i | 0.942018 | + | 0.335562i | \(0.108926\pi\) |
−0.648031 | + | 0.761614i | \(0.724407\pi\) | |||||||
\(410\) | −0.867474 | − | 3.23746i | −0.0428415 | − | 0.159887i | ||||
\(411\) | 19.1574 | − | 10.4138i | 0.944963 | − | 0.513676i | ||||
\(412\) | 10.4934 | 0.516971 | ||||||||
\(413\) | −4.23107 | + | 7.32842i | −0.208197 | + | 0.360608i | ||||
\(414\) | 14.0910 | − | 12.7127i | 0.692535 | − | 0.624797i | ||||
\(415\) | 5.09794i | 0.250248i | ||||||||
\(416\) | −3.36064 | − | 1.30617i | −0.164769 | − | 0.0640402i | ||||
\(417\) | −24.7348 | + | 23.4956i | −1.21127 | + | 1.15058i | ||||
\(418\) | −4.56904 | + | 4.56904i | −0.223479 | + | 0.223479i | ||||
\(419\) | 6.60549i | 0.322699i | 0.986897 | + | 0.161350i | \(0.0515847\pi\) | ||||
−0.986897 | + | 0.161350i | \(0.948415\pi\) | |||||||
\(420\) | 2.00457 | + | 0.592709i | 0.0978132 | + | 0.0289212i | ||||
\(421\) | −2.43480 | − | 9.08681i | −0.118665 | − | 0.442864i | 0.880870 | − | 0.473359i | \(-0.156958\pi\) |
−0.999535 | + | 0.0304944i | \(0.990292\pi\) | |||||||
\(422\) | 3.64464 | − | 13.6020i | 0.177418 | − | 0.662134i | ||||
\(423\) | 3.50567 | − | 10.8256i | 0.170452 | − | 0.526358i | ||||
\(424\) | 6.36406 | + | 6.36406i | 0.309066 | + | 0.309066i | ||||
\(425\) | 10.9971i | 0.533438i | ||||||||
\(426\) | −7.87670 | − | 8.29213i | −0.381627 | − | 0.401755i | ||||
\(427\) | 6.03569 | + | 6.03569i | 0.292087 | + | 0.292087i | ||||
\(428\) | −1.08484 | − | 1.87899i | −0.0524376 | − | 0.0908246i | ||||
\(429\) | −2.33464 | − | 5.69563i | −0.112718 | − | 0.274987i | ||||
\(430\) | −0.300510 | + | 0.520499i | −0.0144919 | + | 0.0251007i | ||||
\(431\) | 1.92865 | − | 0.516780i | 0.0928998 | − | 0.0248924i | −0.212070 | − | 0.977255i | \(-0.568020\pi\) |
0.304970 | + | 0.952362i | \(0.401354\pi\) | |||||||
\(432\) | 1.72728 | − | 4.90066i | 0.0831036 | − | 0.235783i | ||||
\(433\) | −27.7623 | + | 16.0286i | −1.33417 | + | 0.770285i | −0.985936 | − | 0.167122i | \(-0.946553\pi\) |
−0.348236 | + | 0.937407i | \(0.613219\pi\) | |||||||
\(434\) | 10.0209 | − | 2.68510i | 0.481020 | − | 0.128889i | ||||
\(435\) | −0.128631 | + | 5.00638i | −0.00616738 | + | 0.240038i | ||||
\(436\) | 11.3179 | − | 3.03262i | 0.542029 | − | 0.145236i | ||||
\(437\) | −40.0574 | − | 10.7333i | −1.91620 | − | 0.513445i | ||||
\(438\) | −19.0948 | + | 4.59420i | −0.912385 | + | 0.219519i | ||||
\(439\) | −22.6287 | + | 13.0647i | −1.08001 | + | 0.623542i | −0.930898 | − | 0.365278i | \(-0.880974\pi\) |
−0.149109 | + | 0.988821i | \(0.547640\pi\) | |||||||
\(440\) | −0.171838 | − | 0.641308i | −0.00819206 | − | 0.0305732i | ||||
\(441\) | 6.18268 | − | 9.54105i | 0.294414 | − | 0.454336i | ||||
\(442\) | −8.12912 | − | 3.15952i | −0.386663 | − | 0.150283i | ||||
\(443\) | 9.85727 | + | 5.69110i | 0.468333 | + | 0.270392i | 0.715542 | − | 0.698570i | \(-0.246180\pi\) |
−0.247209 | + | 0.968962i | \(0.579513\pi\) | |||||||
\(444\) | 10.4471 | + | 6.39489i | 0.495795 | + | 0.303488i | ||||
\(445\) | 1.14739 | 0.0543914 | ||||||||
\(446\) | 11.8708 | − | 20.5609i | 0.562099 | − | 0.973585i | ||||
\(447\) | 16.7430 | + | 0.430184i | 0.791916 | + | 0.0203470i | ||||
\(448\) | 1.26694 | − | 1.26694i | 0.0598574 | − | 0.0598574i | ||||
\(449\) | −13.3760 | − | 3.58409i | −0.631253 | − | 0.169144i | −0.0710148 | − | 0.997475i | \(-0.522624\pi\) |
−0.560238 | + | 0.828331i | \(0.689290\pi\) | |||||||
\(450\) | −13.3380 | + | 2.84881i | −0.628761 | + | 0.134294i | ||||
\(451\) | −2.45231 | − | 4.24752i | −0.115475 | − | 0.200008i | ||||
\(452\) | −5.54284 | − | 9.60049i | −0.260713 | − | 0.451569i | ||||
\(453\) | −8.60980 | − | 0.221215i | −0.404524 | − | 0.0103936i | ||||
\(454\) | 20.7339 | − | 11.9707i | 0.973092 | − | 0.561815i | ||||
\(455\) | 4.32566 | + | 0.472930i | 0.202790 | + | 0.0221713i | ||||
\(456\) | −11.0394 | + | 2.65608i | −0.516969 | + | 0.124382i | ||||
\(457\) | −32.5303 | − | 8.71648i | −1.52171 | − | 0.407740i | −0.601402 | − | 0.798946i | \(-0.705391\pi\) |
−0.920303 | + | 0.391207i | \(0.872058\pi\) | |||||||
\(458\) | 17.7846 | + | 10.2680i | 0.831022 | + | 0.479791i | ||||
\(459\) | 4.17814 | − | 11.8543i | 0.195019 | − | 0.553312i | ||||
\(460\) | 3.01305 | − | 3.01305i | 0.140484 | − | 0.140484i | ||||
\(461\) | 6.35961 | + | 6.35961i | 0.296196 | + | 0.296196i | 0.839522 | − | 0.543326i | \(-0.182835\pi\) |
−0.543326 | + | 0.839522i | \(0.682835\pi\) | |||||||
\(462\) | 3.05790 | + | 0.0785678i | 0.142266 | + | 0.00365531i | ||||
\(463\) | 4.90786 | − | 18.3164i | 0.228087 | − | 0.851234i | −0.753057 | − | 0.657956i | \(-0.771421\pi\) |
0.981144 | − | 0.193278i | \(-0.0619120\pi\) | |||||||
\(464\) | 3.71748 | + | 2.14629i | 0.172580 | + | 0.0996388i | ||||
\(465\) | 4.89780 | − | 4.65242i | 0.227130 | − | 0.215751i | ||||
\(466\) | 0.722288 | − | 2.69562i | 0.0334593 | − | 0.124872i | ||||
\(467\) | 33.1417 | 1.53362 | 0.766808 | − | 0.641877i | \(-0.221844\pi\) | ||||
0.766808 | + | 0.641877i | \(0.221844\pi\) | |||||||
\(468\) | 1.72622 | − | 10.6780i | 0.0797944 | − | 0.493592i | ||||
\(469\) | −19.8385 | −0.916056 | ||||||||
\(470\) | 0.661258 | − | 2.46785i | 0.0305015 | − | 0.113833i | ||||
\(471\) | 3.93970 | + | 16.3745i | 0.181532 | + | 0.754498i | ||||
\(472\) | 4.09014 | + | 2.36144i | 0.188264 | + | 0.108694i | ||||
\(473\) | −0.227631 | + | 0.849529i | −0.0104665 | + | 0.0390614i | ||||
\(474\) | 1.33531 | + | 2.45646i | 0.0613330 | + | 0.112829i | ||||
\(475\) | 21.0741 | + | 21.0741i | 0.966945 | + | 0.966945i | ||||
\(476\) | 3.06463 | − | 3.06463i | 0.140467 | − | 0.140467i | ||||
\(477\) | −14.6832 | + | 22.6589i | −0.672297 | + | 1.03748i | ||||
\(478\) | 6.80368 | + | 3.92811i | 0.311193 | + | 0.179667i | ||||
\(479\) | −29.7832 | − | 7.98038i | −1.36083 | − | 0.364633i | −0.496707 | − | 0.867918i | \(-0.665458\pi\) |
−0.864120 | + | 0.503285i | \(0.832124\pi\) | |||||||
\(480\) | 0.330803 | − | 1.11879i | 0.0150990 | − | 0.0510657i | ||||
\(481\) | 23.7661 | + | 9.23710i | 1.08364 | + | 0.421176i | ||||
\(482\) | 20.1612 | − | 11.6401i | 0.918316 | − | 0.530190i | ||||
\(483\) | 9.37608 | + | 17.2483i | 0.426627 | + | 0.784827i | ||||
\(484\) | 5.01422 | + | 8.68489i | 0.227919 | + | 0.394768i | ||||
\(485\) | 0.646962 | + | 1.12057i | 0.0293770 | + | 0.0508825i | ||||
\(486\) | 15.4601 | + | 1.99666i | 0.701282 | + | 0.0905703i | ||||
\(487\) | −19.5417 | − | 5.23619i | −0.885520 | − | 0.237274i | −0.212733 | − | 0.977110i | \(-0.568236\pi\) |
−0.672787 | + | 0.739836i | \(0.734903\pi\) | |||||||
\(488\) | 3.36864 | − | 3.36864i | 0.152491 | − | 0.152491i | ||||
\(489\) | −4.35740 | + | 7.11849i | −0.197048 | + | 0.321909i | ||||
\(490\) | 1.27634 | − | 2.21068i | 0.0576590 | − | 0.0998683i | ||||
\(491\) | −15.1024 | −0.681562 | −0.340781 | − | 0.940143i | \(-0.610691\pi\) | ||||
−0.340781 | + | 0.940143i | \(0.610691\pi\) | |||||||
\(492\) | 0.221365 | − | 8.61566i | 0.00997992 | − | 0.388424i | ||||
\(493\) | 8.99228 | + | 5.19169i | 0.404992 | + | 0.233822i | ||||
\(494\) | −21.6327 | + | 9.52340i | −0.973303 | + | 0.428478i | ||||
\(495\) | 1.77381 | − | 0.906002i | 0.0797268 | − | 0.0407218i | ||||
\(496\) | −1.49861 | − | 5.59289i | −0.0672896 | − | 0.251128i | ||||
\(497\) | 10.2459 | − | 5.91546i | 0.459590 | − | 0.265345i | ||||
\(498\) | −3.71694 | + | 12.5709i | −0.166560 | + | 0.563316i | ||||
\(499\) | 40.4871 | + | 10.8485i | 1.81245 | + | 0.485645i | 0.995805 | − | 0.0914956i | \(-0.0291647\pi\) |
0.816645 | + | 0.577140i | \(0.195831\pi\) | |||||||
\(500\) | −6.21109 | + | 1.66426i | −0.277768 | + | 0.0744278i | ||||
\(501\) | −21.5324 | + | 11.7049i | −0.961998 | + | 0.522936i | ||||
\(502\) | −25.1605 | + | 6.74174i | −1.12297 | + | 0.300899i | ||||
\(503\) | 10.9025 | − | 6.29458i | 0.486120 | − | 0.280661i | −0.236843 | − | 0.971548i | \(-0.576113\pi\) |
0.722963 | + | 0.690886i | \(0.242780\pi\) | |||||||
\(504\) | 4.51089 | + | 2.92310i | 0.200931 | + | 0.130205i | ||||
\(505\) | −9.68912 | + | 2.59619i | −0.431160 | + | 0.115529i | ||||
\(506\) | 3.11771 | − | 5.40004i | 0.138599 | − | 0.240061i | ||||
\(507\) | −0.412356 | − | 22.5129i | −0.0183134 | − | 0.999832i | ||||
\(508\) | −2.50106 | − | 4.33197i | −0.110967 | − | 0.192200i | ||||
\(509\) | −23.4868 | − | 23.4868i | −1.04103 | − | 1.04103i | −0.999121 | − | 0.0419113i | \(-0.986655\pi\) |
−0.0419113 | − | 0.999121i | \(-0.513345\pi\) | |||||||
\(510\) | 0.800185 | − | 2.70627i | 0.0354328 | − | 0.119836i | ||||
\(511\) | − | 20.3164i | − | 0.898744i | ||||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −14.7101 | − | 30.7235i | −0.649465 | − | 1.35647i | ||||
\(514\) | 1.86390 | − | 6.95616i | 0.0822130 | − | 0.306823i | ||||
\(515\) | 1.82936 | + | 6.82727i | 0.0806113 | + | 0.300846i | ||||
\(516\) | −1.12052 | + | 1.06438i | −0.0493282 | + | 0.0468569i | ||||
\(517\) | − | 3.73869i | − | 0.164427i | ||||||
\(518\) | −8.95970 | + | 8.95970i | −0.393667 | + | 0.393667i | ||||
\(519\) | −38.5309 | − | 11.3928i | −1.69132 | − | 0.500086i | ||||
\(520\) | 0.263952 | − | 2.41424i | 0.0115750 | − | 0.105871i | ||||
\(521\) | − | 17.5549i | − | 0.769094i | −0.923105 | − | 0.384547i | \(-0.874358\pi\) | ||
0.923105 | − | 0.384547i | \(-0.125642\pi\) | |||||||
\(522\) | −3.96738 | + | 12.2514i | −0.173647 | + | 0.536227i | ||||
\(523\) | −4.19432 | + | 7.26477i | −0.183405 | + | 0.317666i | −0.943038 | − | 0.332686i | \(-0.892045\pi\) |
0.759633 | + | 0.650352i | \(0.225379\pi\) | |||||||
\(524\) | −21.9809 | −0.960242 | ||||||||
\(525\) | 0.362383 | − | 14.1041i | 0.0158157 | − | 0.615555i | ||||
\(526\) | 2.96476 | + | 11.0646i | 0.129270 | + | 0.482440i | ||||
\(527\) | −3.62502 | − | 13.5287i | −0.157908 | − | 0.589321i | ||||
\(528\) | 0.0438503 | − | 1.70668i | 0.00190834 | − | 0.0742736i | ||||
\(529\) | 17.0189 | 0.739951 | ||||||||
\(530\) | −3.03116 | + | 5.25012i | −0.131665 | + | 0.228050i | ||||
\(531\) | −4.36509 | + | 13.4795i | −0.189429 | + | 0.584961i | ||||
\(532\) | − | 11.7457i | − | 0.509240i | ||||||
\(533\) | −2.73249 | − | 17.7315i | −0.118357 | − | 0.768038i | ||||
\(534\) | 2.82932 | + | 0.836568i | 0.122437 | + | 0.0362018i | ||||
\(535\) | 1.03340 | − | 1.03340i | 0.0446778 | − | 0.0446778i | ||||
\(536\) | 11.0723i | 0.478249i | ||||||||
\(537\) | −6.99593 | + | 6.64544i | −0.301897 | + | 0.286772i | ||||
\(538\) | −6.50898 | − | 24.2918i | −0.280622 | − | 1.04730i | ||||
\(539\) | 0.966799 | − | 3.60814i | 0.0416430 | − | 0.155414i | ||||
\(540\) | 3.48964 | + | 0.269456i | 0.150170 | + | 0.0115955i | ||||
\(541\) | 1.43745 | + | 1.43745i | 0.0618007 | + | 0.0618007i | 0.737332 | − | 0.675531i | \(-0.236086\pi\) |
−0.675531 | + | 0.737332i | \(0.736086\pi\) | |||||||
\(542\) | 6.39022i | 0.274484i | ||||||||
\(543\) | −10.2352 | + | 34.6162i | −0.439236 | + | 1.48552i | ||||
\(544\) | −1.71043 | − | 1.71043i | −0.0733343 | − | 0.0733343i | ||||
\(545\) | 3.94622 | + | 6.83505i | 0.169037 | + | 0.292781i | ||||
\(546\) | 10.3217 | + | 4.32006i | 0.441730 | + | 0.184881i | ||||
\(547\) | 5.93332 | − | 10.2768i | 0.253691 | − | 0.439405i | −0.710848 | − | 0.703345i | \(-0.751689\pi\) |
0.964539 | + | 0.263940i | \(0.0850222\pi\) | |||||||
\(548\) | 12.1601 | − | 3.25829i | 0.519453 | − | 0.139187i | ||||
\(549\) | 11.9939 | + | 7.77214i | 0.511886 | + | 0.331707i | ||||
\(550\) | −3.88080 | + | 2.24058i | −0.165478 | + | 0.0955388i | ||||
\(551\) | 27.1811 | − | 7.28317i | 1.15796 | − | 0.310273i | ||||
\(552\) | 9.62665 | − | 5.23298i | 0.409738 | − | 0.222731i | ||||
\(553\) | −2.79372 | + | 0.748574i | −0.118801 | + | 0.0318326i | ||||
\(554\) | 18.7804 | + | 5.03218i | 0.797901 | + | 0.213797i | ||||
\(555\) | −2.33941 | + | 7.91200i | −0.0993022 | + | 0.335846i | ||||
\(556\) | −17.0576 | + | 9.84823i | −0.723405 | + | 0.417658i | ||||
\(557\) | −9.18337 | − | 34.2728i | −0.389112 | − | 1.45219i | −0.831582 | − | 0.555402i | \(-0.812564\pi\) |
0.442470 | − | 0.896783i | \(-0.354102\pi\) | |||||||
\(558\) | 15.4695 | − | 7.90130i | 0.654876 | − | 0.334489i | ||||
\(559\) | −1.90186 | + | 2.59481i | −0.0804400 | + | 0.109749i | ||||
\(560\) | 1.04518 | + | 0.603436i | 0.0441670 | + | 0.0254998i | ||||
\(561\) | 0.106070 | − | 4.12831i | 0.00447829 | − | 0.174298i | ||||
\(562\) | −29.8076 | −1.25736 | ||||||||
\(563\) | 18.4876 | − | 32.0214i | 0.779159 | − | 1.34954i | −0.153268 | − | 0.988185i | \(-0.548980\pi\) |
0.932427 | − | 0.361358i | \(-0.117687\pi\) | |||||||
\(564\) | 3.42991 | − | 5.60329i | 0.144425 | − | 0.235941i | ||||
\(565\) | 5.28003 | − | 5.28003i | 0.222133 | − | 0.222133i | ||||
\(566\) | −21.3237 | − | 5.71368i | −0.896303 | − | 0.240164i | ||||
\(567\) | −5.74923 | + | 15.0658i | −0.241445 | + | 0.632706i | ||||
\(568\) | −3.30154 | − | 5.71843i | −0.138529 | − | 0.239940i | ||||
\(569\) | 12.2655 | + | 21.2445i | 0.514198 | + | 0.890616i | 0.999864 | + | 0.0164722i | \(0.00524351\pi\) |
−0.485667 | + | 0.874144i | \(0.661423\pi\) | |||||||
\(570\) | −3.65269 | − | 6.71952i | −0.152994 | − | 0.281450i | ||||
\(571\) | 7.42838 | − | 4.28878i | 0.310868 | − | 0.179480i | −0.336447 | − | 0.941702i | \(-0.609225\pi\) |
0.647315 | + | 0.762223i | \(0.275892\pi\) | |||||||
\(572\) | −0.541280 | − | 3.51244i | −0.0226320 | − | 0.146863i | ||||
\(573\) | −8.87571 | + | 30.0181i | −0.370788 | + | 1.25403i | ||||
\(574\) | 8.61166 | + | 2.30749i | 0.359444 | + | 0.0963127i | ||||
\(575\) | −24.9069 | − | 14.3800i | −1.03869 | − | 0.599688i | ||||
\(576\) | 1.63144 | − | 2.51762i | 0.0679766 | − | 0.104901i | ||||
\(577\) | −0.991168 | + | 0.991168i | −0.0412629 | + | 0.0412629i | −0.727437 | − | 0.686174i | \(-0.759289\pi\) |
0.686174 | + | 0.727437i | \(0.259289\pi\) | |||||||
\(578\) | 7.88341 | + | 7.88341i | 0.327907 | + | 0.327907i | ||||
\(579\) | −6.09038 | − | 11.2039i | −0.253107 | − | 0.465619i | ||||
\(580\) | −0.748347 | + | 2.79287i | −0.0310734 | + | 0.115968i | ||||
\(581\) | −11.7438 | − | 6.78029i | −0.487215 | − | 0.281294i | ||||
\(582\) | 0.778314 | + | 3.23490i | 0.0322622 | + | 0.134091i | ||||
\(583\) | −2.29604 | + | 8.56894i | −0.0950923 | + | 0.354889i | ||||
\(584\) | −11.3390 | −0.469211 | ||||||||
\(585\) | 7.24836 | − | 0.738431i | 0.299683 | − | 0.0305304i | ||||
\(586\) | −9.48781 | −0.391938 | ||||||||
\(587\) | 9.87397 | − | 36.8502i | 0.407543 | − | 1.52097i | −0.391775 | − | 0.920061i | \(-0.628139\pi\) |
0.799318 | − | 0.600908i | \(-0.205194\pi\) | |||||||
\(588\) | 4.75911 | − | 4.52068i | 0.196262 | − | 0.186430i | ||||
\(589\) | −32.8722 | − | 18.9788i | −1.35448 | − | 0.782008i | ||||
\(590\) | −0.823366 | + | 3.07284i | −0.0338975 | + | 0.126507i | ||||
\(591\) | 42.3892 | + | 1.08912i | 1.74366 | + | 0.0448005i | ||||
\(592\) | 5.00059 | + | 5.00059i | 0.205523 | + | 0.205523i | ||||
\(593\) | 22.4411 | − | 22.4411i | 0.921547 | − | 0.921547i | −0.0755923 | − | 0.997139i | \(-0.524085\pi\) |
0.997139 | + | 0.0755923i | \(0.0240847\pi\) | |||||||
\(594\) | 5.03457 | − | 0.940795i | 0.206571 | − | 0.0386013i | ||||
\(595\) | 2.52821 | + | 1.45966i | 0.103647 | + | 0.0598403i | ||||
\(596\) | 9.34027 | + | 2.50272i | 0.382592 | + | 0.102515i | ||||
\(597\) | 13.5687 | − | 3.26461i | 0.555329 | − | 0.133612i | ||||
\(598\) | 17.7857 | − | 14.2799i | 0.727310 | − | 0.583948i | ||||
\(599\) | 12.9383 | − | 7.46992i | 0.528644 | − | 0.305213i | −0.211820 | − | 0.977309i | \(-0.567939\pi\) |
0.740464 | + | 0.672096i | \(0.234606\pi\) | |||||||
\(600\) | −7.87181 | − | 0.202253i | −0.321365 | − | 0.00825696i | ||||
\(601\) | 4.71759 | + | 8.17110i | 0.192434 | + | 0.333306i | 0.946056 | − | 0.324002i | \(-0.105028\pi\) |
−0.753622 | + | 0.657308i | \(0.771695\pi\) | |||||||
\(602\) | −0.799360 | − | 1.38453i | −0.0325795 | − | 0.0564293i | ||||
\(603\) | −32.4841 | + | 6.93814i | −1.32285 | + | 0.282543i | ||||
\(604\) | −4.80308 | − | 1.28698i | −0.195434 | − | 0.0523665i | ||||
\(605\) | −4.77648 | + | 4.77648i | −0.194191 | + | 0.194191i | ||||
\(606\) | −25.7851 | − | 0.662506i | −1.04745 | − | 0.0269125i | ||||
\(607\) | −4.11465 | + | 7.12678i | −0.167008 | + | 0.289267i | −0.937367 | − | 0.348344i | \(-0.886744\pi\) |
0.770358 | + | 0.637611i | \(0.220077\pi\) | |||||||
\(608\) | −6.55551 | −0.265861 | ||||||||
\(609\) | −11.3618 | − | 6.95483i | −0.460403 | − | 0.281824i | ||||
\(610\) | 2.77901 | + | 1.60446i | 0.112519 | + | 0.0649627i | ||||
\(611\) | 4.95433 | − | 12.7470i | 0.200431 | − | 0.515688i | ||||
\(612\) | 3.94632 | − | 6.08992i | 0.159521 | − | 0.246170i | ||||
\(613\) | −5.26589 | − | 19.6526i | −0.212687 | − | 0.793760i | −0.986968 | − | 0.160918i | \(-0.948555\pi\) |
0.774280 | − | 0.632843i | \(-0.218112\pi\) | |||||||
\(614\) | −4.11150 | + | 2.37378i | −0.165927 | + | 0.0957979i | ||||
\(615\) | 5.64418 | − | 1.35799i | 0.227595 | − | 0.0547593i | ||||
\(616\) | 1.70589 | + | 0.457091i | 0.0687321 | + | 0.0184167i | ||||
\(617\) | 31.6362 | − | 8.47690i | 1.27363 | − | 0.341267i | 0.442207 | − | 0.896913i | \(-0.354195\pi\) |
0.831419 | + | 0.555646i | \(0.187529\pi\) | |||||||
\(618\) | −0.466824 | + | 18.1690i | −0.0187784 | + | 0.730866i | ||||
\(619\) | −9.36687 | + | 2.50985i | −0.376486 | + | 0.100879i | −0.442100 | − | 0.896966i | \(-0.645766\pi\) |
0.0656133 | + | 0.997845i | \(0.479100\pi\) | |||||||
\(620\) | 3.37763 | − | 1.95008i | 0.135649 | − | 0.0783169i | ||||
\(621\) | 21.3850 | + | 24.9638i | 0.858149 | + | 1.00176i | ||||
\(622\) | −20.4069 | + | 5.46802i | −0.818244 | + | 0.219248i | ||||
\(623\) | −1.52603 | + | 2.64316i | −0.0611391 | + | 0.105896i | ||||
\(624\) | 2.41111 | − | 5.76078i | 0.0965217 | − | 0.230616i | ||||
\(625\) | 9.20010 | + | 15.9350i | 0.368004 | + | 0.637402i | ||||
\(626\) | −7.30568 | − | 7.30568i | −0.291994 | − | 0.291994i | ||||
\(627\) | −7.70794 | − | 8.11447i | −0.307825 | − | 0.324061i | ||||
\(628\) | 9.72362i | 0.388015i | ||||||||
\(629\) | 12.0960 | + | 12.0960i | 0.482300 | + | 0.482300i | ||||
\(630\) | −1.11544 | + | 3.44451i | −0.0444402 | + | 0.137233i | ||||
\(631\) | −5.85572 | + | 21.8539i | −0.233113 | + | 0.869988i | 0.745878 | + | 0.666083i | \(0.232030\pi\) |
−0.978991 | + | 0.203906i | \(0.934636\pi\) | |||||||
\(632\) | 0.417795 | + | 1.55923i | 0.0166190 | + | 0.0620229i | ||||
\(633\) | 23.3894 | + | 6.91574i | 0.929646 | + | 0.274876i | ||||
\(634\) | − | 16.7572i | − | 0.665514i | ||||||
\(635\) | 2.38248 | − | 2.38248i | 0.0945457 | − | 0.0945457i | ||||
\(636\) | −11.3024 | + | 10.7361i | −0.448168 | + | 0.425715i | ||||
\(637\) | 8.07762 | − | 11.0207i | 0.320047 | − | 0.436658i | ||||
\(638\) | 4.23108i | 0.167510i | ||||||||
\(639\) | 14.7081 | − | 13.2694i | 0.581842 | − | 0.524931i | ||||
\(640\) | 0.336790 | − | 0.583337i | 0.0133128 | − | 0.0230584i | ||||
\(641\) | 10.7880 | 0.426100 | 0.213050 | − | 0.977041i | \(-0.431660\pi\) | ||||
0.213050 | + | 0.977041i | \(0.431660\pi\) | |||||||
\(642\) | 3.30170 | − | 1.79478i | 0.130308 | − | 0.0708344i | ||||
\(643\) | 2.77540 | + | 10.3579i | 0.109451 | + | 0.408477i | 0.998812 | − | 0.0487289i | \(-0.0155170\pi\) |
−0.889361 | + | 0.457206i | \(0.848850\pi\) | |||||||
\(644\) | 2.93360 | + | 10.9483i | 0.115600 | + | 0.431425i | ||||
\(645\) | −0.887865 | − | 0.543483i | −0.0349596 | − | 0.0213996i | ||||
\(646\) | −15.8572 | −0.623895 | ||||||||
\(647\) | −2.44136 | + | 4.22856i | −0.0959799 | + | 0.166242i | −0.910017 | − | 0.414571i | \(-0.863932\pi\) |
0.814037 | + | 0.580813i | \(0.197265\pi\) | |||||||
\(648\) | 8.40856 | + | 3.20876i | 0.330319 | + | 0.126052i | ||||
\(649\) | 4.65524i | 0.182734i | ||||||||
\(650\) | −16.2006 | + | 2.49658i | −0.635442 | + | 0.0979238i | ||||
\(651\) | 4.20339 | + | 17.4705i | 0.164744 | + | 0.684723i | ||||
\(652\) | −3.40734 | + | 3.40734i | −0.133442 | + | 0.133442i | ||||
\(653\) | 21.9436i | 0.858719i | 0.903134 | + | 0.429360i | \(0.141261\pi\) | ||||
−0.903134 | + | 0.429360i | \(0.858739\pi\) | |||||||
\(654\) | 4.74742 | + | 19.7316i | 0.185639 | + | 0.771568i | ||||
\(655\) | −3.83206 | − | 14.3014i | −0.149731 | − | 0.558803i | ||||
\(656\) | 1.28786 | − | 4.80634i | 0.0502823 | − | 0.187656i | ||||
\(657\) | −7.10528 | − | 33.2666i | −0.277203 | − | 1.29786i | ||||
\(658\) | 4.80554 | + | 4.80554i | 0.187340 | + | 0.187340i | ||||
\(659\) | 42.3078i | 1.64808i | 0.566534 | + | 0.824038i | \(0.308284\pi\) | ||||
−0.566534 | + | 0.824038i | \(0.691716\pi\) | |||||||
\(660\) | 1.11806 | − | 0.269004i | 0.0435203 | − | 0.0104710i | ||||
\(661\) | −22.1456 | − | 22.1456i | −0.861363 | − | 0.861363i | 0.130133 | − | 0.991497i | \(-0.458460\pi\) |
−0.991497 | + | 0.130133i | \(0.958460\pi\) | |||||||
\(662\) | 7.37732 | + | 12.7779i | 0.286728 | + | 0.496627i | ||||
\(663\) | 5.83228 | − | 13.9349i | 0.226507 | − | 0.541185i | ||||
\(664\) | −3.78422 | + | 6.55446i | −0.146856 | + | 0.254362i | ||||
\(665\) | 7.64207 | − | 2.04769i | 0.296347 | − | 0.0794059i | ||||
\(666\) | −11.5374 | + | 17.8044i | −0.447065 | + | 0.689905i | ||||
\(667\) | −23.5169 | + | 13.5775i | −0.910579 | + | 0.525723i | ||||
\(668\) | −13.6676 | + | 3.66224i | −0.528817 | + | 0.141696i | ||||
\(669\) | 35.0726 | + | 21.4688i | 1.35599 | + | 0.830031i | ||||
\(670\) | −7.20392 | + | 1.93029i | −0.278312 | + | 0.0745734i | ||||
\(671\) | 4.53573 | + | 1.21535i | 0.175100 | + | 0.0469179i | ||||
\(672\) | 2.13732 | + | 2.25005i | 0.0824490 | + | 0.0867975i | ||||
\(673\) | −32.9394 | + | 19.0176i | −1.26972 | + | 0.733075i | −0.974935 | − | 0.222488i | \(-0.928582\pi\) |
−0.294787 | + | 0.955563i | \(0.595249\pi\) | |||||||
\(674\) | −1.00563 | − | 3.75304i | −0.0387352 | − | 0.144562i | ||||
\(675\) | −4.33928 | − | 23.2213i | −0.167019 | − | 0.893787i | ||||
\(676\) | 2.80903 | − | 12.6929i | 0.108040 | − | 0.488188i | ||||
\(677\) | −4.73877 | − | 2.73593i | −0.182126 | − | 0.105150i | 0.406165 | − | 0.913800i | \(-0.366866\pi\) |
−0.588291 | + | 0.808649i | \(0.700199\pi\) | |||||||
\(678\) | 16.8696 | − | 9.17022i | 0.647874 | − | 0.352180i | ||||
\(679\) | −3.44185 | −0.132086 | ||||||||
\(680\) | 0.814668 | − | 1.41105i | 0.0312411 | − | 0.0541111i | ||||
\(681\) | 19.8047 | + | 36.4329i | 0.758917 | + | 1.39611i | ||||
\(682\) | 4.03563 | − | 4.03563i | 0.154532 | − | 0.154532i | ||||
\(683\) | 24.9699 | + | 6.69067i | 0.955447 | + | 0.256011i | 0.702672 | − | 0.711514i | \(-0.251990\pi\) |
0.252775 | + | 0.967525i | \(0.418657\pi\) | |||||||
\(684\) | −4.10784 | − | 19.2327i | −0.157067 | − | 0.735382i | ||||
\(685\) | 4.23986 | + | 7.34366i | 0.161997 | + | 0.280587i | ||||
\(686\) | 9.66611 | + | 16.7422i | 0.369054 | + | 0.639220i | ||||
\(687\) | −18.5700 | + | 30.3370i | −0.708489 | + | 1.15743i | ||||
\(688\) | −0.772736 | + | 0.446139i | −0.0294603 | + | 0.0170089i | ||||
\(689\) | −19.1834 | + | 26.1730i | −0.730831 | + | 0.997113i | ||||
\(690\) | 5.08299 | + | 5.35108i | 0.193506 | + | 0.203712i | ||||
\(691\) | 32.7059 | + | 8.76352i | 1.24419 | + | 0.333380i | 0.820090 | − | 0.572235i | \(-0.193923\pi\) |
0.424101 | + | 0.905615i | \(0.360590\pi\) | |||||||
\(692\) | −20.0900 | − | 11.5989i | −0.763706 | − | 0.440926i | ||||
\(693\) | −0.272077 | + | 5.29120i | −0.0103354 | + | 0.200996i | ||||
\(694\) | −22.8522 | + | 22.8522i | −0.867459 | + | 0.867459i | ||||
\(695\) | −9.38129 | − | 9.38129i | −0.355852 | − | 0.355852i | ||||
\(696\) | −3.88163 | + | 6.34125i | −0.147133 | + | 0.240365i | ||||
\(697\) | 3.11522 | − | 11.6262i | 0.117997 | − | 0.440372i | ||||
\(698\) | 16.4240 | + | 9.48239i | 0.621657 | + | 0.358914i | ||||
\(699\) | 4.63527 | + | 1.37055i | 0.175322 | + | 0.0518389i | ||||
\(700\) | 2.10827 | − | 7.86816i | 0.0796850 | − | 0.297388i | ||||
\(701\) | 29.4689 | 1.11303 | 0.556513 | − | 0.830839i | \(-0.312139\pi\) | ||||
0.556513 | + | 0.830839i | \(0.312139\pi\) | |||||||
\(702\) | 18.4120 | + | 3.46395i | 0.694915 | + | 0.130738i | ||||
\(703\) | 46.3599 | 1.74850 | ||||||||
\(704\) | 0.255112 | − | 0.952090i | 0.00961488 | − | 0.0358832i | ||||
\(705\) | 4.24361 | + | 1.25474i | 0.159824 | + | 0.0472563i | ||||
\(706\) | 16.9718 | + | 9.79865i | 0.638740 | + | 0.368777i | ||||
\(707\) | 6.90589 | − | 25.7731i | 0.259723 | − | 0.969298i | ||||
\(708\) | −4.27075 | + | 6.97694i | −0.160505 | + | 0.262210i | ||||
\(709\) | 9.17695 | + | 9.17695i | 0.344648 | + | 0.344648i | 0.858111 | − | 0.513464i | \(-0.171638\pi\) |
−0.513464 | + | 0.858111i | \(0.671638\pi\) | |||||||
\(710\) | 3.14500 | − | 3.14500i | 0.118030 | − | 0.118030i | ||||
\(711\) | −4.31271 | + | 2.20279i | −0.161739 | + | 0.0826110i | ||||
\(712\) | 1.47520 | + | 0.851709i | 0.0552856 | + | 0.0319191i | ||||
\(713\) | 35.3809 | + | 9.48027i | 1.32502 | + | 0.355039i | ||||
\(714\) | 5.17001 | + | 5.44269i | 0.193483 | + | 0.203687i | ||||
\(715\) | 2.19093 | − | 0.964514i | 0.0819361 | − | 0.0360708i | ||||
\(716\) | −4.82455 | + | 2.78545i | −0.180302 | + | 0.104097i | ||||
\(717\) | −7.10412 | + | 11.6057i | −0.265308 | + | 0.433422i | ||||
\(718\) | −13.5825 | − | 23.5255i | −0.506894 | − | 0.877965i | ||||
\(719\) | −1.46802 | − | 2.54269i | −0.0547480 | − | 0.0948263i | 0.837353 | − | 0.546663i | \(-0.184102\pi\) |
−0.892101 | + | 0.451837i | \(0.850769\pi\) | |||||||
\(720\) | 1.92245 | + | 0.622551i | 0.0716455 | + | 0.0232011i | ||||
\(721\) | −18.1606 | − | 4.86612i | −0.676336 | − | 0.181224i | ||||
\(722\) | −16.9527 | + | 16.9527i | −0.630913 | + | 0.630913i | ||||
\(723\) | 19.2576 | + | 35.4265i | 0.716198 | + | 1.31753i | ||||
\(724\) | −10.4205 | + | 18.0488i | −0.387274 | + | 0.670779i | ||||
\(725\) | 19.5153 | 0.724779 | ||||||||
\(726\) | −15.2608 | + | 8.29565i | −0.566380 | + | 0.307881i | ||||
\(727\) | 34.7895 | + | 20.0857i | 1.29027 | + | 0.744938i | 0.978702 | − | 0.205285i | \(-0.0658122\pi\) |
0.311569 | + | 0.950224i | \(0.399146\pi\) | |||||||
\(728\) | 5.21047 | + | 3.81900i | 0.193113 | + | 0.141541i | ||||
\(729\) | −4.14496 | + | 26.6799i | −0.153517 | + | 0.988146i | ||||
\(730\) | −1.97679 | − | 7.37746i | −0.0731641 | − | 0.273052i | ||||
\(731\) | −1.86919 | + | 1.07917i | −0.0691343 | + | 0.0399147i | ||||
\(732\) | 5.68287 | + | 5.98259i | 0.210045 | + | 0.221123i | ||||
\(733\) | 12.6590 | + | 3.39197i | 0.467571 | + | 0.125285i | 0.484909 | − | 0.874564i | \(-0.338853\pi\) |
−0.0173384 | + | 0.999850i | \(0.505519\pi\) | |||||||
\(734\) | 7.43211 | − | 1.99143i | 0.274324 | − | 0.0735050i | ||||
\(735\) | 3.77096 | + | 2.30830i | 0.139094 | + | 0.0851428i | ||||
\(736\) | 6.11049 | − | 1.63730i | 0.225236 | − | 0.0603517i | ||||
\(737\) | −9.45150 | + | 5.45683i | −0.348151 | + | 0.201005i | ||||
\(738\) | 14.9080 | + | 0.766579i | 0.548770 | + | 0.0282182i | ||||
\(739\) | −20.2177 | + | 5.41732i | −0.743721 | + | 0.199279i | −0.610731 | − | 0.791838i | \(-0.709124\pi\) |
−0.132990 | + | 0.991117i | \(0.542458\pi\) | |||||||
\(740\) | −2.38175 | + | 4.12531i | −0.0875547 | + | 0.151649i | ||||
\(741\) | −15.5272 | − | 37.8803i | −0.570405 | − | 1.39157i | ||||
\(742\) | −8.06290 | − | 13.9654i | −0.295998 | − | 0.512684i | ||||
\(743\) | 11.8437 | + | 11.8437i | 0.434502 | + | 0.434502i | 0.890157 | − | 0.455655i | \(-0.150595\pi\) |
−0.455655 | + | 0.890157i | \(0.650595\pi\) | |||||||
\(744\) | 9.75064 | − | 2.34600i | 0.357476 | − | 0.0860085i | ||||
\(745\) | 6.51335i | 0.238631i | ||||||||
\(746\) | 11.3830 | + | 11.3830i | 0.416760 | + | 0.416760i | ||||
\(747\) | −21.6009 | − | 6.99506i | −0.790336 | − | 0.255936i | ||||
\(748\) | 0.617094 | − | 2.30303i | 0.0225632 | − | 0.0842070i | ||||
\(749\) | 1.00615 | + | 3.75500i | 0.0367639 | + | 0.137205i | ||||
\(750\) | −2.60531 | − | 10.8284i | −0.0951324 | − | 0.395397i | ||||
\(751\) | − | 9.36886i | − | 0.341875i | −0.985282 | − | 0.170937i | \(-0.945320\pi\) | ||
0.985282 | − | 0.170937i | \(-0.0546796\pi\) | |||||||
\(752\) | 2.68207 | − | 2.68207i | 0.0978051 | − | 0.0978051i | ||||
\(753\) | −10.5539 | − | 43.8649i | −0.384604 | − | 1.59852i | ||||
\(754\) | −5.60683 | + | 14.4258i | −0.204189 | + | 0.525357i | ||||
\(755\) | − | 3.34938i | − | 0.121897i | ||||||
\(756\) | −5.26196 | + | 7.68047i | −0.191376 | + | 0.279336i | ||||
\(757\) | 1.46922 | − | 2.54477i | 0.0533999 | − | 0.0924913i | −0.838090 | − | 0.545532i | \(-0.816328\pi\) |
0.891490 | + | 0.453041i | \(0.149661\pi\) | |||||||
\(758\) | −25.9610 | −0.942945 | ||||||||
\(759\) | 9.21136 | + | 5.63849i | 0.334351 | + | 0.204664i | ||||
\(760\) | −1.14286 | − | 4.26520i | −0.0414558 | − | 0.154715i | ||||
\(761\) | 2.67639 | + | 9.98843i | 0.0970191 | + | 0.362080i | 0.997318 | − | 0.0731923i | \(-0.0233187\pi\) |
−0.900299 | + | 0.435273i | \(0.856652\pi\) | |||||||
\(762\) | 7.61198 | − | 4.13782i | 0.275753 | − | 0.149897i | ||||
\(763\) | −20.9940 | −0.760032 | ||||||||
\(764\) | −9.03635 | + | 15.6514i | −0.326924 | + | 0.566248i | ||||
\(765\) | 4.65025 | + | 1.50590i | 0.168130 | + | 0.0544459i | ||||
\(766\) | − | 31.4582i | − | 1.13663i | ||||||
\(767\) | −6.16889 | + | 15.8719i | −0.222746 | + | 0.573103i | ||||
\(768\) | 1.25580 | − | 1.19288i | 0.0453147 | − | 0.0430445i | ||||
\(769\) | 0.0494190 | − | 0.0494190i | 0.00178210 | − | 0.00178210i |