Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 166.1 | ||
Character | \(\chi\) | \(=\) | 177.166 |
Dual form | 177.2.e.a.16.1 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{27}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.19928 | + | 0.484098i | −1.55513 | + | 0.342309i | −0.907634 | − | 0.419763i | \(-0.862113\pi\) |
−0.647493 | + | 0.762072i | \(0.724182\pi\) | |||||||
\(3\) | −0.161782 | + | 0.986827i | −0.0934049 | + | 0.569745i | ||||
\(4\) | 2.78734 | − | 1.28956i | 1.39367 | − | 0.644779i | ||||
\(5\) | 0.0503762 | − | 0.181439i | 0.0225289 | − | 0.0811418i | −0.951431 | − | 0.307862i | \(-0.900386\pi\) |
0.973960 | + | 0.226720i | \(0.0728003\pi\) | |||||||
\(6\) | −0.121917 | − | 2.24863i | −0.0497724 | − | 0.917998i | ||||
\(7\) | 2.06658 | − | 1.95757i | 0.781094 | − | 0.739892i | −0.189169 | − | 0.981945i | \(-0.560579\pi\) |
0.970263 | + | 0.242053i | \(0.0778207\pi\) | |||||||
\(8\) | −1.92037 | + | 1.45983i | −0.678953 | + | 0.516126i | ||||
\(9\) | −0.947653 | − | 0.319302i | −0.315884 | − | 0.106434i | ||||
\(10\) | −0.0229572 | + | 0.423421i | −0.00725972 | + | 0.133898i | ||||
\(11\) | 0.782051 | + | 0.920701i | 0.235797 | + | 0.277602i | 0.867315 | − | 0.497759i | \(-0.165844\pi\) |
−0.631518 | + | 0.775361i | \(0.717568\pi\) | |||||||
\(12\) | 0.821630 | + | 2.95924i | 0.237184 | + | 0.854260i | ||||
\(13\) | 2.31365 | − | 0.779560i | 0.641691 | − | 0.216211i | 0.0204015 | − | 0.999792i | \(-0.493506\pi\) |
0.621290 | + | 0.783581i | \(0.286609\pi\) | |||||||
\(14\) | −3.59734 | + | 5.30568i | −0.961429 | + | 1.41800i | ||||
\(15\) | 0.170898 | + | 0.0790660i | 0.0441258 | + | 0.0204148i | ||||
\(16\) | −0.459760 | + | 0.541271i | −0.114940 | + | 0.135318i | ||||
\(17\) | 2.03588 | + | 1.92849i | 0.493774 | + | 0.467728i | 0.893600 | − | 0.448863i | \(-0.148171\pi\) |
−0.399826 | + | 0.916591i | \(0.630930\pi\) | |||||||
\(18\) | 2.23873 | + | 0.243476i | 0.527673 | + | 0.0573880i | ||||
\(19\) | 1.85300 | + | 4.65068i | 0.425108 | + | 1.06694i | 0.973085 | + | 0.230447i | \(0.0740187\pi\) |
−0.547977 | + | 0.836493i | \(0.684602\pi\) | |||||||
\(20\) | −0.0935604 | − | 0.570693i | −0.0209207 | − | 0.127611i | ||||
\(21\) | 1.59745 | + | 2.35606i | 0.348591 | + | 0.514134i | ||||
\(22\) | −2.16566 | − | 1.64629i | −0.461720 | − | 0.350991i | ||||
\(23\) | 4.29536 | − | 0.467148i | 0.895644 | − | 0.0974072i | 0.351294 | − | 0.936265i | \(-0.385742\pi\) |
0.544350 | + | 0.838858i | \(0.316776\pi\) | |||||||
\(24\) | −1.12991 | − | 2.13124i | −0.230643 | − | 0.435038i | ||||
\(25\) | 4.25390 | + | 2.55949i | 0.850781 | + | 0.511898i | ||||
\(26\) | −4.71098 | + | 2.83451i | −0.923900 | + | 0.555892i | ||||
\(27\) | 0.468408 | − | 0.883512i | 0.0901452 | − | 0.170032i | ||||
\(28\) | 3.23585 | − | 8.12138i | 0.611519 | − | 1.53480i | ||||
\(29\) | −3.96069 | − | 0.871814i | −0.735482 | − | 0.161892i | −0.168592 | − | 0.985686i | \(-0.553922\pi\) |
−0.566889 | + | 0.823794i | \(0.691853\pi\) | |||||||
\(30\) | −0.414129 | − | 0.0911568i | −0.0756094 | − | 0.0166429i | ||||
\(31\) | −0.590642 | + | 1.48240i | −0.106082 | + | 0.266247i | −0.972430 | − | 0.233195i | \(-0.925082\pi\) |
0.866348 | + | 0.499441i | \(0.166461\pi\) | |||||||
\(32\) | 3.00894 | − | 5.67546i | 0.531911 | − | 1.00329i | ||||
\(33\) | −1.03509 | + | 0.622796i | −0.180187 | + | 0.108415i | ||||
\(34\) | −5.41106 | − | 3.25572i | −0.927988 | − | 0.558352i | ||||
\(35\) | −0.251072 | − | 0.473573i | −0.0424390 | − | 0.0800484i | ||||
\(36\) | −3.05318 | + | 0.332054i | −0.508864 | + | 0.0553423i | ||||
\(37\) | −9.19319 | − | 6.98848i | −1.51135 | − | 1.14890i | −0.946053 | − | 0.324013i | \(-0.894968\pi\) |
−0.565299 | − | 0.824886i | \(-0.691239\pi\) | |||||||
\(38\) | −6.32666 | − | 9.33112i | −1.02632 | − | 1.51371i | ||||
\(39\) | 0.394983 | + | 2.40929i | 0.0632479 | + | 0.385795i | ||||
\(40\) | 0.168128 | + | 0.421969i | 0.0265834 | + | 0.0667192i | ||||
\(41\) | 7.16053 | + | 0.778754i | 1.11829 | + | 0.121621i | 0.648540 | − | 0.761180i | \(-0.275380\pi\) |
0.469746 | + | 0.882801i | \(0.344345\pi\) | |||||||
\(42\) | −4.65380 | − | 4.40831i | −0.718096 | − | 0.680217i | ||||
\(43\) | 1.09890 | − | 1.29372i | 0.167580 | − | 0.197291i | −0.671961 | − | 0.740586i | \(-0.734548\pi\) |
0.839541 | + | 0.543296i | \(0.182824\pi\) | |||||||
\(44\) | 3.36714 | + | 1.55780i | 0.507615 | + | 0.234848i | ||||
\(45\) | −0.105673 | + | 0.155856i | −0.0157528 | + | 0.0232336i | ||||
\(46\) | −9.22056 | + | 3.10677i | −1.35950 | + | 0.458068i | ||||
\(47\) | −0.710095 | − | 2.55753i | −0.103578 | − | 0.373054i | 0.893534 | − | 0.448995i | \(-0.148218\pi\) |
−0.997112 | + | 0.0759407i | \(0.975804\pi\) | |||||||
\(48\) | −0.459760 | − | 0.541271i | −0.0663606 | − | 0.0781258i | ||||
\(49\) | 0.0597066 | − | 1.10122i | 0.00852951 | − | 0.157318i | ||||
\(50\) | −10.5946 | − | 3.56973i | −1.49830 | − | 0.504836i | ||||
\(51\) | −2.23245 | + | 1.69707i | −0.312606 | + | 0.237637i | ||||
\(52\) | 5.44363 | − | 5.15648i | 0.754896 | − | 0.715075i | ||||
\(53\) | −0.234642 | − | 4.32772i | −0.0322305 | − | 0.594457i | −0.969385 | − | 0.245544i | \(-0.921033\pi\) |
0.937155 | − | 0.348913i | \(-0.113449\pi\) | |||||||
\(54\) | −0.602455 | + | 2.16985i | −0.0819838 | + | 0.295279i | ||||
\(55\) | 0.206448 | − | 0.0955128i | 0.0278374 | − | 0.0128789i | ||||
\(56\) | −1.11089 | + | 6.77611i | −0.148448 | + | 0.905495i | ||||
\(57\) | −4.88920 | + | 1.07619i | −0.647590 | + | 0.142545i | ||||
\(58\) | 9.13271 | 1.19918 | ||||||||
\(59\) | 6.24107 | − | 4.47762i | 0.812518 | − | 0.582936i | ||||
\(60\) | 0.578312 | 0.0746597 | ||||||||
\(61\) | −9.38994 | + | 2.06688i | −1.20226 | + | 0.264637i | −0.770552 | − | 0.637377i | \(-0.780020\pi\) |
−0.431707 | + | 0.902014i | \(0.642088\pi\) | |||||||
\(62\) | 0.581361 | − | 3.54614i | 0.0738329 | − | 0.450361i | ||||
\(63\) | −2.58346 | + | 1.19523i | −0.325485 | + | 0.150585i | ||||
\(64\) | −3.49004 | + | 12.5700i | −0.436255 | + | 1.57125i | ||||
\(65\) | −0.0248893 | − | 0.459057i | −0.00308714 | − | 0.0569390i | ||||
\(66\) | 1.97497 | − | 1.87079i | 0.243102 | − | 0.230278i | ||||
\(67\) | 9.39927 | − | 7.14514i | 1.14830 | − | 0.872918i | 0.154939 | − | 0.987924i | \(-0.450482\pi\) |
0.993365 | + | 0.115006i | \(0.0366889\pi\) | |||||||
\(68\) | 8.16159 | + | 2.74996i | 0.989738 | + | 0.333481i | ||||
\(69\) | −0.233917 | + | 4.31435i | −0.0281603 | + | 0.519387i | ||||
\(70\) | 0.781434 | + | 0.919976i | 0.0933993 | + | 0.109958i | ||||
\(71\) | 0.898732 | + | 3.23694i | 0.106660 | + | 0.384154i | 0.997541 | − | 0.0700820i | \(-0.0223261\pi\) |
−0.890881 | + | 0.454236i | \(0.849912\pi\) | |||||||
\(72\) | 2.28597 | − | 0.770232i | 0.269404 | − | 0.0907727i | ||||
\(73\) | −3.67724 | + | 5.42352i | −0.430388 | + | 0.634776i | −0.979612 | − | 0.200900i | \(-0.935613\pi\) |
0.549223 | + | 0.835676i | \(0.314924\pi\) | |||||||
\(74\) | 23.6015 | + | 10.9192i | 2.74362 | + | 1.26933i | ||||
\(75\) | −3.21398 | + | 3.78379i | −0.371118 | + | 0.436914i | ||||
\(76\) | 11.1623 | + | 10.5735i | 1.28040 | + | 1.21286i | ||||
\(77\) | 3.41851 | + | 0.371785i | 0.389575 | + | 0.0423689i | ||||
\(78\) | −2.03501 | − | 5.10750i | −0.230420 | − | 0.578310i | ||||
\(79\) | 1.22793 | + | 7.49003i | 0.138153 | + | 0.842694i | 0.961429 | + | 0.275053i | \(0.0886956\pi\) |
−0.823276 | + | 0.567641i | \(0.807856\pi\) | |||||||
\(80\) | 0.0750465 | + | 0.110685i | 0.00839046 | + | 0.0123750i | ||||
\(81\) | 0.796093 | + | 0.605174i | 0.0884548 | + | 0.0672416i | ||||
\(82\) | −16.1250 | + | 1.75370i | −1.78071 | + | 0.193664i | ||||
\(83\) | 3.10346 | + | 5.85375i | 0.340649 | + | 0.642533i | 0.993357 | − | 0.115077i | \(-0.0367116\pi\) |
−0.652707 | + | 0.757610i | \(0.726367\pi\) | |||||||
\(84\) | 7.49089 | + | 4.50712i | 0.817323 | + | 0.491767i | ||||
\(85\) | 0.452463 | − | 0.272238i | 0.0490764 | − | 0.0295283i | ||||
\(86\) | −1.79049 | + | 3.37723i | −0.193074 | + | 0.364176i | ||||
\(87\) | 1.50110 | − | 3.76747i | 0.160935 | − | 0.403915i | ||||
\(88\) | −2.84589 | − | 0.626428i | −0.303373 | − | 0.0667774i | ||||
\(89\) | −10.5545 | − | 2.32322i | −1.11878 | − | 0.246261i | −0.383174 | − | 0.923676i | \(-0.625169\pi\) |
−0.735601 | + | 0.677415i | \(0.763100\pi\) | |||||||
\(90\) | 0.156955 | − | 0.393926i | 0.0165445 | − | 0.0415235i | ||||
\(91\) | 3.25531 | − | 6.14016i | 0.341249 | − | 0.643663i | ||||
\(92\) | 11.3702 | − | 6.84122i | 1.18542 | − | 0.713246i | ||||
\(93\) | −1.36732 | − | 0.822687i | −0.141784 | − | 0.0853087i | ||||
\(94\) | 2.79979 | + | 5.28097i | 0.288777 | + | 0.544691i | ||||
\(95\) | 0.937161 | − | 0.101922i | 0.0961506 | − | 0.0104570i | ||||
\(96\) | 5.11391 | + | 3.88749i | 0.521936 | + | 0.396765i | ||||
\(97\) | −5.49079 | − | 8.09831i | −0.557505 | − | 0.822258i | 0.439608 | − | 0.898190i | \(-0.355117\pi\) |
−0.997113 | + | 0.0759313i | \(0.975807\pi\) | |||||||
\(98\) | 0.401789 | + | 2.45080i | 0.0405868 | + | 0.247569i | ||||
\(99\) | −0.447132 | − | 1.12222i | −0.0449384 | − | 0.112787i | ||||
\(100\) | 15.1577 | + | 1.64850i | 1.51577 | + | 0.164850i | ||||
\(101\) | −13.5602 | − | 12.8449i | −1.34929 | − | 1.27812i | −0.928681 | − | 0.370879i | \(-0.879057\pi\) |
−0.420613 | − | 0.907240i | \(-0.638185\pi\) | |||||||
\(102\) | 4.08825 | − | 4.81306i | 0.404797 | − | 0.476564i | ||||
\(103\) | 8.57031 | + | 3.96505i | 0.844457 | + | 0.390688i | 0.793911 | − | 0.608034i | \(-0.208042\pi\) |
0.0505465 | + | 0.998722i | \(0.483904\pi\) | |||||||
\(104\) | −3.30504 | + | 4.87457i | −0.324086 | + | 0.477991i | ||||
\(105\) | 0.507953 | − | 0.171149i | 0.0495711 | − | 0.0167025i | ||||
\(106\) | 2.61108 | + | 9.40427i | 0.253611 | + | 0.913424i | ||||
\(107\) | −4.59307 | − | 5.40738i | −0.444029 | − | 0.522751i | 0.493928 | − | 0.869503i | \(-0.335560\pi\) |
−0.937957 | + | 0.346752i | \(0.887285\pi\) | |||||||
\(108\) | 0.166271 | − | 3.06668i | 0.0159994 | − | 0.295092i | ||||
\(109\) | −13.2211 | − | 4.45470i | −1.26635 | − | 0.426683i | −0.395606 | − | 0.918421i | \(-0.629465\pi\) |
−0.870743 | + | 0.491738i | \(0.836362\pi\) | |||||||
\(110\) | −0.407799 | + | 0.310000i | −0.0388821 | + | 0.0295574i | ||||
\(111\) | 8.38371 | − | 7.94147i | 0.795747 | − | 0.753771i | ||||
\(112\) | 0.109445 | + | 2.01859i | 0.0103416 | + | 0.190739i | ||||
\(113\) | −3.33254 | + | 12.0027i | −0.313499 | + | 1.12912i | 0.624084 | + | 0.781357i | \(0.285472\pi\) |
−0.937583 | + | 0.347763i | \(0.886941\pi\) | |||||||
\(114\) | 10.2317 | − | 4.73371i | 0.958290 | − | 0.443352i | ||||
\(115\) | 0.131625 | − | 0.802877i | 0.0122741 | − | 0.0748687i | ||||
\(116\) | −12.1640 | + | 2.67750i | −1.12940 | + | 0.248600i | ||||
\(117\) | −2.44145 | −0.225712 | ||||||||
\(118\) | −11.5583 | + | 12.8688i | −1.06402 | + | 1.18467i | ||||
\(119\) | 7.98247 | 0.731752 | ||||||||
\(120\) | −0.443611 | + | 0.0976461i | −0.0404959 | + | 0.00891383i | ||||
\(121\) | 1.54351 | − | 9.41502i | 0.140319 | − | 0.855911i | ||||
\(122\) | 19.6506 | − | 9.09131i | 1.77908 | − | 0.823089i | ||||
\(123\) | −1.92694 | + | 6.94021i | −0.173746 | + | 0.625778i | ||||
\(124\) | 0.265324 | + | 4.89361i | 0.0238268 | + | 0.439459i | ||||
\(125\) | 1.36222 | − | 1.29036i | 0.121841 | − | 0.115413i | ||||
\(126\) | 5.10314 | − | 3.87931i | 0.454624 | − | 0.345596i | ||||
\(127\) | −21.0643 | − | 7.09737i | −1.86915 | − | 0.629790i | −0.987439 | − | 0.158000i | \(-0.949495\pi\) |
−0.881711 | − | 0.471790i | \(-0.843608\pi\) | |||||||
\(128\) | 0.894917 | − | 16.5058i | 0.0791002 | − | 1.45892i | ||||
\(129\) | 1.09890 | + | 1.29372i | 0.0967524 | + | 0.113906i | ||||
\(130\) | 0.276967 | + | 0.997546i | 0.0242916 | + | 0.0874906i | ||||
\(131\) | −15.8181 | + | 5.32975i | −1.38204 | + | 0.465663i | −0.909521 | − | 0.415659i | \(-0.863551\pi\) |
−0.472517 | + | 0.881322i | \(0.656654\pi\) | |||||||
\(132\) | −2.08202 | + | 3.07075i | −0.181217 | + | 0.267275i | ||||
\(133\) | 12.9334 | + | 5.98364i | 1.12147 | + | 0.518847i | ||||
\(134\) | −17.2127 | + | 20.2643i | −1.48695 | + | 1.75057i | ||||
\(135\) | −0.136707 | − | 0.129495i | −0.0117658 | − | 0.0111452i | ||||
\(136\) | −6.72490 | − | 0.731377i | −0.576656 | − | 0.0627151i | ||||
\(137\) | 2.45236 | + | 6.15497i | 0.209520 | + | 0.525854i | 0.995752 | − | 0.0920766i | \(-0.0293505\pi\) |
−0.786232 | + | 0.617931i | \(0.787971\pi\) | |||||||
\(138\) | −1.57412 | − | 9.60171i | −0.133998 | − | 0.817352i | ||||
\(139\) | 4.65891 | + | 6.87138i | 0.395164 | + | 0.582823i | 0.972274 | − | 0.233843i | \(-0.0751302\pi\) |
−0.577111 | + | 0.816666i | \(0.695820\pi\) | |||||||
\(140\) | −1.31052 | − | 0.996233i | −0.110759 | − | 0.0841971i | ||||
\(141\) | 2.63872 | − | 0.286978i | 0.222220 | − | 0.0241679i | ||||
\(142\) | −3.54356 | − | 6.68386i | −0.297369 | − | 0.560897i | ||||
\(143\) | 2.52713 | + | 1.52053i | 0.211330 | + | 0.127153i | ||||
\(144\) | 0.608522 | − | 0.366135i | 0.0507101 | − | 0.0305113i | ||||
\(145\) | −0.357705 | + | 0.674703i | −0.0297058 | + | 0.0560311i | ||||
\(146\) | 5.46177 | − | 13.7080i | 0.452019 | − | 1.13448i | ||||
\(147\) | 1.07706 | + | 0.237078i | 0.0888342 | + | 0.0195539i | ||||
\(148\) | −34.6366 | − | 7.62408i | −2.84711 | − | 0.626696i | ||||
\(149\) | −7.86270 | + | 19.7339i | −0.644138 | + | 1.61666i | 0.135749 | + | 0.990743i | \(0.456656\pi\) |
−0.779887 | + | 0.625921i | \(0.784723\pi\) | |||||||
\(150\) | 5.23671 | − | 9.87749i | 0.427576 | − | 0.806494i | ||||
\(151\) | 13.1868 | − | 7.93422i | 1.07312 | − | 0.645678i | 0.134604 | − | 0.990900i | \(-0.457024\pi\) |
0.938521 | + | 0.345222i | \(0.112196\pi\) | |||||||
\(152\) | −10.3476 | − | 6.22597i | −0.839304 | − | 0.504992i | ||||
\(153\) | −1.31354 | − | 2.47760i | −0.106193 | − | 0.200302i | ||||
\(154\) | −7.69824 | + | 0.837235i | −0.620342 | + | 0.0674663i | ||||
\(155\) | 0.239210 | + | 0.181843i | 0.0192138 | + | 0.0146060i | ||||
\(156\) | 4.20787 | + | 6.20615i | 0.336899 | + | 0.496889i | ||||
\(157\) | −1.74146 | − | 10.6224i | −0.138983 | − | 0.847761i | −0.960644 | − | 0.277784i | \(-0.910400\pi\) |
0.821660 | − | 0.569978i | \(-0.193048\pi\) | |||||||
\(158\) | −6.32647 | − | 15.8782i | −0.503307 | − | 1.26321i | ||||
\(159\) | 4.30866 | + | 0.468596i | 0.341699 | + | 0.0371620i | ||||
\(160\) | −0.878169 | − | 0.831846i | −0.0694254 | − | 0.0657632i | ||||
\(161\) | 7.96223 | − | 9.37387i | 0.627512 | − | 0.738764i | ||||
\(162\) | −2.04380 | − | 0.945561i | −0.160576 | − | 0.0742903i | ||||
\(163\) | −4.57146 | + | 6.74240i | −0.358065 | + | 0.528106i | −0.963472 | − | 0.267810i | \(-0.913700\pi\) |
0.605407 | + | 0.795916i | \(0.293010\pi\) | |||||||
\(164\) | 20.9630 | − | 7.06327i | 1.63694 | − | 0.551549i | ||||
\(165\) | 0.0608551 | + | 0.219180i | 0.00473756 | + | 0.0170632i | ||||
\(166\) | −9.65918 | − | 11.3717i | −0.749698 | − | 0.882613i | ||||
\(167\) | 1.07493 | − | 19.8259i | 0.0831804 | − | 1.53417i | −0.597665 | − | 0.801746i | \(-0.703905\pi\) |
0.680846 | − | 0.732427i | \(-0.261612\pi\) | |||||||
\(168\) | −6.50712 | − | 2.19250i | −0.502035 | − | 0.169155i | ||||
\(169\) | −5.60394 | + | 4.26001i | −0.431073 | + | 0.327693i | ||||
\(170\) | −0.863302 | + | 0.817763i | −0.0662123 | + | 0.0627196i | ||||
\(171\) | −0.271033 | − | 4.99890i | −0.0207264 | − | 0.382276i | ||||
\(172\) | 1.39466 | − | 5.02312i | 0.106342 | − | 0.383010i | ||||
\(173\) | −15.1903 | + | 7.02780i | −1.15490 | + | 0.534313i | −0.901385 | − | 0.433018i | \(-0.857449\pi\) |
−0.253514 | + | 0.967332i | \(0.581586\pi\) | |||||||
\(174\) | −1.47751 | + | 9.01240i | −0.112010 | + | 0.683229i | ||||
\(175\) | 13.8014 | − | 3.03792i | 1.04329 | − | 0.229645i | ||||
\(176\) | −0.857905 | −0.0646670 | ||||||||
\(177\) | 3.40894 | + | 6.88325i | 0.256231 | + | 0.517377i | ||||
\(178\) | 24.3370 | 1.82413 | ||||||||
\(179\) | −6.54231 | + | 1.44007i | −0.488995 | + | 0.107636i | −0.452622 | − | 0.891702i | \(-0.649511\pi\) |
−0.0363728 | + | 0.999338i | \(0.511580\pi\) | |||||||
\(180\) | −0.0935604 | + | 0.570693i | −0.00697358 | + | 0.0425370i | ||||
\(181\) | 8.52576 | − | 3.94444i | 0.633715 | − | 0.293188i | −0.0766108 | − | 0.997061i | \(-0.524410\pi\) |
0.710325 | + | 0.703874i | \(0.248548\pi\) | |||||||
\(182\) | −4.18689 | + | 15.0798i | −0.310353 | + | 1.11779i | ||||
\(183\) | −0.520531 | − | 9.60063i | −0.0384788 | − | 0.709699i | ||||
\(184\) | −7.56672 | + | 7.16758i | −0.557826 | + | 0.528401i | ||||
\(185\) | −1.73110 | + | 1.31595i | −0.127273 | + | 0.0967503i | ||||
\(186\) | 3.40537 | + | 1.14740i | 0.249694 | + | 0.0841318i | ||||
\(187\) | −0.183400 | + | 3.38262i | −0.0134115 | + | 0.247361i | ||||
\(188\) | −5.27736 | − | 6.21299i | −0.384891 | − | 0.453129i | ||||
\(189\) | −0.761533 | − | 2.74279i | −0.0553933 | − | 0.199509i | ||||
\(190\) | −2.01174 | + | 0.677834i | −0.145947 | + | 0.0491752i | ||||
\(191\) | 2.07267 | − | 3.05697i | 0.149973 | − | 0.221194i | −0.745280 | − | 0.666752i | \(-0.767684\pi\) |
0.895253 | + | 0.445557i | \(0.146994\pi\) | |||||||
\(192\) | −11.8398 | − | 5.47766i | −0.854461 | − | 0.395316i | ||||
\(193\) | 10.1774 | − | 11.9817i | 0.732584 | − | 0.862464i | −0.262142 | − | 0.965029i | \(-0.584429\pi\) |
0.994726 | + | 0.102565i | \(0.0327049\pi\) | |||||||
\(194\) | 15.9962 | + | 15.1524i | 1.14846 | + | 1.08788i | ||||
\(195\) | 0.457036 | + | 0.0497057i | 0.0327290 | + | 0.00355950i | ||||
\(196\) | −1.25367 | − | 3.14647i | −0.0895478 | − | 0.224748i | ||||
\(197\) | 3.96148 | + | 24.1640i | 0.282244 | + | 1.72161i | 0.623658 | + | 0.781698i | \(0.285646\pi\) |
−0.341414 | + | 0.939913i | \(0.610906\pi\) | |||||||
\(198\) | 1.52663 | + | 2.25161i | 0.108493 | + | 0.160015i | ||||
\(199\) | 14.6581 | + | 11.1428i | 1.03909 | + | 0.789894i | 0.978077 | − | 0.208243i | \(-0.0667745\pi\) |
0.0610106 | + | 0.998137i | \(0.480568\pi\) | |||||||
\(200\) | −11.9055 | + | 1.29480i | −0.841844 | + | 0.0915560i | ||||
\(201\) | 5.53038 | + | 10.4314i | 0.390083 | + | 0.735774i | ||||
\(202\) | 36.0410 | + | 21.6851i | 2.53583 | + | 1.52576i | ||||
\(203\) | −9.89173 | + | 5.95165i | −0.694263 | + | 0.417724i | ||||
\(204\) | −4.03413 | + | 7.60918i | −0.282446 | + | 0.532749i | ||||
\(205\) | 0.502016 | − | 1.25997i | 0.0350623 | − | 0.0879998i | ||||
\(206\) | −20.7680 | − | 4.57138i | −1.44697 | − | 0.318503i | ||||
\(207\) | −4.21967 | − | 0.928820i | −0.293287 | − | 0.0645575i | ||||
\(208\) | −0.641771 | + | 1.61072i | −0.0444988 | + | 0.111684i | ||||
\(209\) | −2.83275 | + | 5.34313i | −0.195945 | + | 0.369592i | ||||
\(210\) | −1.03428 | + | 0.622305i | −0.0713720 | + | 0.0429431i | ||||
\(211\) | −13.1017 | − | 7.88304i | −0.901960 | − | 0.542691i | −0.0126109 | − | 0.999920i | \(-0.504014\pi\) |
−0.889349 | + | 0.457229i | \(0.848842\pi\) | |||||||
\(212\) | −6.23487 | − | 11.7602i | −0.428212 | − | 0.807694i | ||||
\(213\) | −3.33970 | + | 0.363214i | −0.228832 | + | 0.0248870i | ||||
\(214\) | 12.7191 | + | 9.66884i | 0.869463 | + | 0.660949i | ||||
\(215\) | −0.179373 | − | 0.264555i | −0.0122331 | − | 0.0180425i | ||||
\(216\) | 0.390257 | + | 2.38046i | 0.0265536 | + | 0.161970i | ||||
\(217\) | 1.68129 | + | 4.21972i | 0.114134 | + | 0.286454i | ||||
\(218\) | 31.2334 | + | 3.39683i | 2.11539 | + | 0.230063i | ||||
\(219\) | −4.75717 | − | 4.50623i | −0.321460 | − | 0.304503i | ||||
\(220\) | 0.452269 | − | 0.532452i | 0.0304920 | − | 0.0358979i | ||||
\(221\) | 6.21369 | + | 2.87476i | 0.417978 | + | 0.193377i | ||||
\(222\) | −14.5937 | + | 21.5241i | −0.979464 | + | 1.44460i | ||||
\(223\) | −13.6051 | + | 4.58408i | −0.911063 | + | 0.306973i | −0.735523 | − | 0.677500i | \(-0.763064\pi\) |
−0.175540 | + | 0.984472i | \(0.556167\pi\) | |||||||
\(224\) | −4.89190 | − | 17.6190i | −0.326854 | − | 1.17722i | ||||
\(225\) | −3.21398 | − | 3.78379i | −0.214265 | − | 0.252252i | ||||
\(226\) | 1.51869 | − | 28.0106i | 0.101022 | − | 1.86324i | ||||
\(227\) | 25.5722 | + | 8.61627i | 1.69729 | + | 0.571882i | 0.990738 | − | 0.135784i | \(-0.0433554\pi\) |
0.706547 | + | 0.707666i | \(0.250252\pi\) | |||||||
\(228\) | −12.2400 | + | 9.30462i | −0.810615 | + | 0.616214i | ||||
\(229\) | 11.9362 | − | 11.3066i | 0.788765 | − | 0.747158i | −0.182999 | − | 0.983113i | \(-0.558580\pi\) |
0.971764 | + | 0.235955i | \(0.0758217\pi\) | |||||||
\(230\) | 0.0991911 | + | 1.82947i | 0.00654047 | + | 0.120632i | ||||
\(231\) | −0.919941 | + | 3.31333i | −0.0605277 | + | 0.218001i | ||||
\(232\) | 8.87868 | − | 4.10772i | 0.582914 | − | 0.269685i | ||||
\(233\) | −1.48695 | + | 9.06997i | −0.0974131 | + | 0.594193i | 0.892336 | + | 0.451373i | \(0.149066\pi\) |
−0.989749 | + | 0.142821i | \(0.954383\pi\) | |||||||
\(234\) | 5.36944 | − | 1.18190i | 0.351011 | − | 0.0772634i | ||||
\(235\) | −0.499807 | −0.0326038 | ||||||||
\(236\) | 11.6218 | − | 20.5288i | 0.756515 | − | 1.33631i | ||||
\(237\) | −7.59002 | −0.493025 | ||||||||
\(238\) | −17.5557 | + | 3.86430i | −1.13797 | + | 0.250485i | ||||
\(239\) | 1.21304 | − | 7.39920i | 0.0784648 | − | 0.478614i | −0.918138 | − | 0.396260i | \(-0.870308\pi\) |
0.996603 | − | 0.0823541i | \(-0.0262439\pi\) | |||||||
\(240\) | −0.121368 | + | 0.0561510i | −0.00783430 | + | 0.00362453i | ||||
\(241\) | −1.33862 | + | 4.82127i | −0.0862281 | + | 0.310565i | −0.994069 | − | 0.108749i | \(-0.965316\pi\) |
0.907841 | + | 0.419314i | \(0.137729\pi\) | |||||||
\(242\) | 1.16317 | + | 21.4535i | 0.0747717 | + | 1.37908i | ||||
\(243\) | −0.725995 | + | 0.687699i | −0.0465726 | + | 0.0441159i | ||||
\(244\) | −23.5076 | + | 17.8700i | −1.50492 | + | 1.14401i | ||||
\(245\) | −0.196797 | − | 0.0663085i | −0.0125729 | − | 0.00423629i | ||||
\(246\) | 0.878138 | − | 16.1963i | 0.0559880 | − | 1.03264i | ||||
\(247\) | 7.91268 | + | 9.31553i | 0.503472 | + | 0.592733i | ||||
\(248\) | −1.02980 | − | 3.70899i | −0.0653921 | − | 0.235521i | ||||
\(249\) | −6.27872 | + | 2.11555i | −0.397898 | + | 0.134067i | ||||
\(250\) | −2.37124 | + | 3.49732i | −0.149970 | + | 0.221190i | ||||
\(251\) | −7.82563 | − | 3.62052i | −0.493950 | − | 0.228525i | 0.157068 | − | 0.987588i | \(-0.449796\pi\) |
−0.651018 | + | 0.759062i | \(0.725658\pi\) | |||||||
\(252\) | −5.65964 | + | 6.66304i | −0.356524 | + | 0.419732i | ||||
\(253\) | 3.78929 | + | 3.58941i | 0.238231 | + | 0.225664i | ||||
\(254\) | 49.7620 | + | 5.41195i | 3.12235 | + | 0.339576i | ||||
\(255\) | 0.195451 | + | 0.490545i | 0.0122396 | + | 0.0307191i | ||||
\(256\) | 1.80119 | + | 10.9868i | 0.112575 | + | 0.686675i | ||||
\(257\) | −10.3454 | − | 15.2583i | −0.645325 | − | 0.951784i | −0.999860 | − | 0.0167408i | \(-0.994671\pi\) |
0.354534 | − | 0.935043i | \(-0.384639\pi\) | |||||||
\(258\) | −3.04307 | − | 2.31328i | −0.189453 | − | 0.144019i | ||||
\(259\) | −32.6789 | + | 3.55405i | −2.03057 | + | 0.220838i | ||||
\(260\) | −0.661356 | − | 1.24745i | −0.0410155 | − | 0.0773635i | ||||
\(261\) | 3.47499 | + | 2.09083i | 0.215096 | + | 0.129419i | ||||
\(262\) | 32.2084 | − | 19.3792i | 1.98984 | − | 1.19725i | ||||
\(263\) | 3.76659 | − | 7.10455i | 0.232258 | − | 0.438085i | −0.739800 | − | 0.672827i | \(-0.765080\pi\) |
0.972058 | + | 0.234742i | \(0.0754246\pi\) | |||||||
\(264\) | 1.07859 | − | 2.70705i | 0.0663826 | − | 0.166608i | ||||
\(265\) | −0.797035 | − | 0.175441i | −0.0489615 | − | 0.0107772i | ||||
\(266\) | −31.3409 | − | 6.89865i | −1.92163 | − | 0.422983i | ||||
\(267\) | 4.00015 | − | 10.0396i | 0.244805 | − | 0.614414i | ||||
\(268\) | 16.9848 | − | 32.0368i | 1.03751 | − | 1.95696i | ||||
\(269\) | 23.6810 | − | 14.2484i | 1.44386 | − | 0.868740i | 0.444227 | − | 0.895914i | \(-0.353478\pi\) |
0.999631 | + | 0.0271740i | \(0.00865081\pi\) | |||||||
\(270\) | 0.363345 | + | 0.218617i | 0.0221124 | + | 0.0133046i | ||||
\(271\) | 2.08991 | + | 3.94199i | 0.126953 | + | 0.239459i | 0.938838 | − | 0.344358i | \(-0.111903\pi\) |
−0.811885 | + | 0.583817i | \(0.801559\pi\) | |||||||
\(272\) | −1.97985 | + | 0.215322i | −0.120046 | + | 0.0130558i | ||||
\(273\) | 5.53262 | + | 4.20579i | 0.334849 | + | 0.254546i | ||||
\(274\) | −8.37304 | − | 12.3493i | −0.505834 | − | 0.746050i | ||||
\(275\) | 0.970244 | + | 5.91823i | 0.0585079 | + | 0.356882i | ||||
\(276\) | 4.91160 | + | 12.3272i | 0.295644 | + | 0.742010i | ||||
\(277\) | −25.3640 | − | 2.75850i | −1.52397 | − | 0.165742i | −0.692546 | − | 0.721374i | \(-0.743511\pi\) |
−0.831429 | + | 0.555632i | \(0.812476\pi\) | |||||||
\(278\) | −13.5727 | − | 12.8567i | −0.814035 | − | 0.771095i | ||||
\(279\) | 1.03306 | − | 1.21621i | 0.0618475 | − | 0.0728125i | ||||
\(280\) | 1.17348 | + | 0.542912i | 0.0701291 | + | 0.0324452i | ||||
\(281\) | −10.6907 | + | 15.7676i | −0.637755 | + | 0.940618i | 0.362209 | + | 0.932097i | \(0.382023\pi\) |
−0.999964 | + | 0.00852082i | \(0.997288\pi\) | |||||||
\(282\) | −5.66436 | + | 1.90854i | −0.337308 | + | 0.113652i | ||||
\(283\) | 2.33821 | + | 8.42148i | 0.138992 | + | 0.500605i | 0.999968 | − | 0.00804157i | \(-0.00255974\pi\) |
−0.860975 | + | 0.508647i | \(0.830146\pi\) | |||||||
\(284\) | 6.67929 | + | 7.86347i | 0.396343 | + | 0.466611i | ||||
\(285\) | −0.0510360 | + | 0.941304i | −0.00302311 | + | 0.0557580i | ||||
\(286\) | −6.29396 | − | 2.12068i | −0.372170 | − | 0.125399i | ||||
\(287\) | 16.3223 | − | 12.4079i | 0.963474 | − | 0.732414i | ||||
\(288\) | −4.66362 | + | 4.41761i | −0.274806 | + | 0.260310i | ||||
\(289\) | −0.494619 | − | 9.12271i | −0.0290952 | − | 0.536630i | ||||
\(290\) | 0.460071 | − | 1.65703i | 0.0270163 | − | 0.0973040i | ||||
\(291\) | 8.87993 | − | 4.10830i | 0.520551 | − | 0.240833i | ||||
\(292\) | −3.25575 | + | 19.8592i | −0.190528 | + | 1.16217i | ||||
\(293\) | −12.7044 | + | 2.79646i | −0.742201 | + | 0.163371i | −0.569946 | − | 0.821682i | \(-0.693036\pi\) |
−0.172254 | + | 0.985053i | \(0.555105\pi\) | |||||||
\(294\) | −2.48352 | −0.144842 | ||||||||
\(295\) | −0.498011 | − | 1.35794i | −0.0289953 | − | 0.0790621i | ||||
\(296\) | 27.8563 | 1.61911 | ||||||||
\(297\) | 1.17977 | − | 0.259687i | 0.0684572 | − | 0.0150686i | ||||
\(298\) | 7.73915 | − | 47.2067i | 0.448317 | − | 2.73461i | ||||
\(299\) | 9.57379 | − | 4.42931i | 0.553667 | − | 0.256153i | ||||
\(300\) | −4.07902 | + | 14.6913i | −0.235502 | + | 0.848202i | ||||
\(301\) | −0.261590 | − | 4.82475i | −0.0150778 | − | 0.278094i | ||||
\(302\) | −25.1605 | + | 23.8333i | −1.44782 | + | 1.37145i | ||||
\(303\) | 14.8695 | − | 11.3035i | 0.854232 | − | 0.649370i | ||||
\(304\) | −3.36922 | − | 1.13522i | −0.193238 | − | 0.0651094i | ||||
\(305\) | −0.0980171 | + | 1.80782i | −0.00561245 | + | 0.103515i | ||||
\(306\) | 4.08825 | + | 4.81306i | 0.233710 | + | 0.275144i | ||||
\(307\) | −0.381961 | − | 1.37570i | −0.0217997 | − | 0.0785154i | 0.951850 | − | 0.306564i | \(-0.0991793\pi\) |
−0.973650 | + | 0.228049i | \(0.926766\pi\) | |||||||
\(308\) | 10.0080 | − | 3.37208i | 0.570257 | − | 0.192142i | ||||
\(309\) | −5.29933 | + | 7.81593i | −0.301469 | + | 0.444633i | ||||
\(310\) | −0.614121 | − | 0.284122i | −0.0348797 | − | 0.0161371i | ||||
\(311\) | −5.07278 | + | 5.97213i | −0.287651 | + | 0.338649i | −0.886941 | − | 0.461883i | \(-0.847174\pi\) |
0.599290 | + | 0.800532i | \(0.295450\pi\) | |||||||
\(312\) | −4.27566 | − | 4.05012i | −0.242062 | − | 0.229293i | ||||
\(313\) | 3.71406 | + | 0.403928i | 0.209931 | + | 0.0228314i | 0.212480 | − | 0.977165i | \(-0.431846\pi\) |
−0.00254920 | + | 0.999997i | \(0.500811\pi\) | |||||||
\(314\) | 8.97225 | + | 22.5186i | 0.506333 | + | 1.27080i | ||||
\(315\) | 0.0867170 | + | 0.528950i | 0.00488595 | + | 0.0298030i | ||||
\(316\) | 13.0815 | + | 19.2937i | 0.735891 | + | 1.08536i | ||||
\(317\) | −7.39740 | − | 5.62336i | −0.415479 | − | 0.315839i | 0.376467 | − | 0.926430i | \(-0.377139\pi\) |
−0.791946 | + | 0.610591i | \(0.790932\pi\) | |||||||
\(318\) | −9.70281 | + | 1.05524i | −0.544107 | + | 0.0591752i | ||||
\(319\) | −2.29478 | − | 4.32842i | −0.128483 | − | 0.242345i | ||||
\(320\) | 2.10486 | + | 1.26646i | 0.117666 | + | 0.0707970i | ||||
\(321\) | 6.07922 | − | 3.65774i | 0.339309 | − | 0.204155i | ||||
\(322\) | −12.9733 | + | 24.4703i | −0.722975 | + | 1.36368i | ||||
\(323\) | −5.19630 | + | 13.0417i | −0.289130 | + | 0.725662i | ||||
\(324\) | 2.99939 | + | 0.660215i | 0.166633 | + | 0.0366786i | ||||
\(325\) | 11.8373 | + | 2.60559i | 0.656616 | + | 0.144532i | ||||
\(326\) | 6.78994 | − | 17.0415i | 0.376060 | − | 0.943840i | ||||
\(327\) | 6.53494 | − | 12.3262i | 0.361383 | − | 0.681641i | ||||
\(328\) | −14.8877 | + | 8.95763i | −0.822036 | + | 0.494602i | ||||
\(329\) | −6.47401 | − | 3.89528i | −0.356924 | − | 0.214754i | ||||
\(330\) | −0.239942 | − | 0.452579i | −0.0132084 | − | 0.0249136i | ||||
\(331\) | 2.24917 | − | 0.244612i | 0.123626 | − | 0.0134451i | −0.0460969 | − | 0.998937i | \(-0.514678\pi\) |
0.169723 | + | 0.985492i | \(0.445713\pi\) | |||||||
\(332\) | 16.1992 | + | 12.3143i | 0.889044 | + | 0.675834i | ||||
\(333\) | 6.48052 | + | 9.55806i | 0.355131 | + | 0.523778i | ||||
\(334\) | 7.23361 | + | 44.1230i | 0.395805 | + | 2.41431i | ||||
\(335\) | −0.822905 | − | 2.06533i | −0.0449601 | − | 0.112841i | ||||
\(336\) | −2.00971 | − | 0.218569i | −0.109639 | − | 0.0119239i | ||||
\(337\) | 10.6153 | + | 10.0554i | 0.578255 | + | 0.547752i | 0.919938 | − | 0.392063i | \(-0.128239\pi\) |
−0.341684 | + | 0.939815i | \(0.610997\pi\) | |||||||
\(338\) | 10.2624 | − | 12.0818i | 0.558200 | − | 0.657164i | ||||
\(339\) | −11.3055 | − | 5.23046i | −0.614028 | − | 0.284079i | ||||
\(340\) | 0.910098 | − | 1.34229i | 0.0493570 | − | 0.0727961i | ||||
\(341\) | −1.82676 | + | 0.615507i | −0.0989246 | + | 0.0333316i | ||||
\(342\) | 3.01604 | + | 10.8628i | 0.163089 | + | 0.587392i | ||||
\(343\) | 10.8674 | + | 12.7941i | 0.586784 | + | 0.690815i | ||||
\(344\) | −0.221678 | + | 4.08862i | −0.0119521 | + | 0.220444i | ||||
\(345\) | 0.771006 | + | 0.259782i | 0.0415096 | + | 0.0139862i | ||||
\(346\) | 30.0057 | − | 22.8097i | 1.61311 | − | 1.22626i | ||||
\(347\) | −14.0487 | + | 13.3077i | −0.754176 | + | 0.714393i | −0.964745 | − | 0.263186i | \(-0.915227\pi\) |
0.210569 | + | 0.977579i | \(0.432468\pi\) | |||||||
\(348\) | −0.674312 | − | 12.4370i | −0.0361469 | − | 0.666691i | ||||
\(349\) | 3.42642 | − | 12.3408i | 0.183412 | − | 0.660590i | −0.813465 | − | 0.581614i | \(-0.802421\pi\) |
0.996877 | − | 0.0789755i | \(-0.0251649\pi\) | |||||||
\(350\) | −28.8825 | + | 13.3625i | −1.54384 | + | 0.714255i | ||||
\(351\) | 0.394983 | − | 2.40929i | 0.0210826 | − | 0.128598i | ||||
\(352\) | 7.57855 | − | 1.66817i | 0.403938 | − | 0.0889135i | ||||
\(353\) | 13.5133 | 0.719241 | 0.359621 | − | 0.933099i | \(-0.382906\pi\) | ||||
0.359621 | + | 0.933099i | \(0.382906\pi\) | |||||||
\(354\) | −10.8294 | − | 13.4879i | −0.575575 | − | 0.716876i | ||||
\(355\) | 0.632580 | 0.0335739 | ||||||||
\(356\) | −32.4149 | + | 7.13505i | −1.71798 | + | 0.378157i | ||||
\(357\) | −1.29142 | + | 7.87731i | −0.0683492 | + | 0.416912i | ||||
\(358\) | 13.6912 | − | 6.33424i | 0.723605 | − | 0.334775i | ||||
\(359\) | 0.725398 | − | 2.61265i | 0.0382850 | − | 0.137890i | −0.941938 | − | 0.335788i | \(-0.890998\pi\) |
0.980223 | + | 0.197897i | \(0.0634113\pi\) | |||||||
\(360\) | −0.0245915 | − | 0.453564i | −0.00129609 | − | 0.0239049i | ||||
\(361\) | −4.40133 | + | 4.16916i | −0.231649 | + | 0.219429i | ||||
\(362\) | −16.8410 | + | 12.8022i | −0.885145 | + | 0.672870i | ||||
\(363\) | 9.04128 | + | 3.04636i | 0.474544 | + | 0.159893i | ||||
\(364\) | 1.15553 | − | 21.3126i | 0.0605665 | − | 1.11708i | ||||
\(365\) | 0.798791 | + | 0.940410i | 0.0418106 | + | 0.0492233i | ||||
\(366\) | 5.79244 | + | 20.8625i | 0.302776 | + | 1.09050i | ||||
\(367\) | −16.5817 | + | 5.58702i | −0.865557 | + | 0.291640i | −0.716838 | − | 0.697239i | \(-0.754411\pi\) |
−0.148719 | + | 0.988880i | \(0.547515\pi\) | |||||||
\(368\) | −1.72198 | + | 2.53973i | −0.0897644 | + | 0.132393i | ||||
\(369\) | −6.53704 | − | 3.02436i | −0.340305 | − | 0.157442i | ||||
\(370\) | 3.17012 | − | 3.73216i | 0.164807 | − | 0.194026i | ||||
\(371\) | −8.95671 | − | 8.48425i | −0.465009 | − | 0.440480i | ||||
\(372\) | −4.87207 | − | 0.529870i | −0.252605 | − | 0.0274725i | ||||
\(373\) | −7.36641 | − | 18.4883i | −0.381418 | − | 0.957287i | −0.986886 | − | 0.161418i | \(-0.948393\pi\) |
0.605468 | − | 0.795870i | \(-0.292986\pi\) | |||||||
\(374\) | −1.23417 | − | 7.52811i | −0.0638175 | − | 0.389269i | ||||
\(375\) | 1.05298 | + | 1.55303i | 0.0543757 | + | 0.0801981i | ||||
\(376\) | 5.09719 | + | 3.87479i | 0.262868 | + | 0.199827i | ||||
\(377\) | −9.84328 | + | 1.07052i | −0.506955 | + | 0.0551347i | ||||
\(378\) | 3.00261 | + | 5.66351i | 0.154437 | + | 0.291300i | ||||
\(379\) | 12.2486 | + | 7.36975i | 0.629169 | + | 0.378559i | 0.794136 | − | 0.607741i | \(-0.207924\pi\) |
−0.164966 | + | 0.986299i | \(0.552752\pi\) | |||||||
\(380\) | 2.48075 | − | 1.49262i | 0.127260 | − | 0.0765695i | ||||
\(381\) | 10.4117 | − | 19.6385i | 0.533407 | − | 1.00611i | ||||
\(382\) | −3.07852 | + | 7.72651i | −0.157511 | + | 0.395323i | ||||
\(383\) | 7.70495 | + | 1.69599i | 0.393705 | + | 0.0866609i | 0.407410 | − | 0.913245i | \(-0.366432\pi\) |
−0.0137060 | + | 0.999906i | \(0.504363\pi\) | |||||||
\(384\) | 16.1436 | + | 3.55346i | 0.823822 | + | 0.181337i | ||||
\(385\) | 0.239668 | − | 0.601520i | 0.0122146 | − | 0.0306563i | ||||
\(386\) | −16.5826 | + | 31.2781i | −0.844031 | + | 1.59201i | ||||
\(387\) | −1.45446 | + | 0.875119i | −0.0739343 | + | 0.0444848i | ||||
\(388\) | −25.7479 | − | 15.4920i | −1.30715 | − | 0.786487i | ||||
\(389\) | 1.34054 | + | 2.52853i | 0.0679681 | + | 0.128201i | 0.915168 | − | 0.403073i | \(-0.132058\pi\) |
−0.847200 | + | 0.531275i | \(0.821713\pi\) | |||||||
\(390\) | −1.02921 | + | 0.111934i | −0.0521162 | + | 0.00566798i | ||||
\(391\) | 9.64574 | + | 7.33250i | 0.487806 | + | 0.370820i | ||||
\(392\) | 1.49294 | + | 2.20192i | 0.0754047 | + | 0.111214i | ||||
\(393\) | −2.70045 | − | 16.4720i | −0.136220 | − | 0.830904i | ||||
\(394\) | −20.4101 | − | 51.2256i | −1.02825 | − | 2.58071i | ||||
\(395\) | 1.42084 | + | 0.154526i | 0.0714902 | + | 0.00777503i | ||||
\(396\) | −2.69347 | − | 2.55139i | −0.135352 | − | 0.128212i | ||||
\(397\) | 17.0276 | − | 20.0464i | 0.854589 | − | 1.00610i | −0.145272 | − | 0.989392i | \(-0.546406\pi\) |
0.999860 | − | 0.0167080i | \(-0.00531856\pi\) | |||||||
\(398\) | −37.6316 | − | 17.4102i | −1.88630 | − | 0.872696i | ||||
\(399\) | −7.99721 | + | 11.7950i | −0.400361 | + | 0.590488i | ||||
\(400\) | −3.34115 | + | 1.12577i | −0.167058 | + | 0.0562883i | ||||
\(401\) | −8.57571 | − | 30.8869i | −0.428251 | − | 1.54242i | −0.791762 | − | 0.610830i | \(-0.790836\pi\) |
0.363512 | − | 0.931590i | \(-0.381578\pi\) | |||||||
\(402\) | −17.2127 | − | 20.2643i | −0.858491 | − | 1.01069i | ||||
\(403\) | −0.210920 | + | 3.89020i | −0.0105067 | + | 0.193785i | ||||
\(404\) | −54.3612 | − | 18.3164i | −2.70457 | − | 0.911276i | ||||
\(405\) | 0.149906 | − | 0.113956i | 0.00744889 | − | 0.00566250i | ||||
\(406\) | 18.8735 | − | 17.8779i | 0.936676 | − | 0.887267i | ||||
\(407\) | −0.755237 | − | 13.9295i | −0.0374357 | − | 0.690461i | ||||
\(408\) | 1.80971 | − | 6.51799i | 0.0895941 | − | 0.322689i | ||||
\(409\) | −4.55390 | + | 2.10686i | −0.225176 | + | 0.104177i | −0.529234 | − | 0.848476i | \(-0.677520\pi\) |
0.304058 | + | 0.952654i | \(0.401658\pi\) | |||||||
\(410\) | −0.494127 | + | 3.01404i | −0.0244032 | + | 0.148853i | ||||
\(411\) | −6.47063 | + | 1.42429i | −0.319173 | + | 0.0702552i | ||||
\(412\) | 29.0015 | 1.42880 | ||||||||
\(413\) | 4.13243 | − | 21.4707i | 0.203344 | − | 1.05650i | ||||
\(414\) | 9.72988 | 0.478198 | ||||||||
\(415\) | 1.21844 | − | 0.268198i | 0.0598107 | − | 0.0131653i | ||||
\(416\) | 2.53728 | − | 15.4767i | 0.124400 | − | 0.758807i | ||||
\(417\) | −7.53459 | + | 3.48587i | −0.368970 | + | 0.170704i | ||||
\(418\) | 3.64341 | − | 13.1224i | 0.178205 | − | 0.641837i | ||||
\(419\) | −0.505556 | − | 9.32443i | −0.0246980 | − | 0.455528i | −0.984559 | − | 0.175052i | \(-0.943991\pi\) |
0.959861 | − | 0.280476i | \(-0.0904922\pi\) | |||||||
\(420\) | 1.19513 | − | 1.13209i | 0.0583163 | − | 0.0552401i | ||||
\(421\) | −6.87990 | + | 5.22996i | −0.335306 | + | 0.254893i | −0.759255 | − | 0.650793i | \(-0.774437\pi\) |
0.423949 | + | 0.905686i | \(0.360643\pi\) | |||||||
\(422\) | 32.6305 | + | 10.9945i | 1.58843 | + | 0.535204i | ||||
\(423\) | −0.143700 | + | 2.65039i | −0.00698692 | + | 0.128866i | ||||
\(424\) | 6.76831 | + | 7.96827i | 0.328698 | + | 0.386973i | ||||
\(425\) | 3.72450 | + | 13.4144i | 0.180665 | + | 0.650695i | ||||
\(426\) | 7.16910 | − | 2.41555i | 0.347344 | − | 0.117034i | ||||
\(427\) | −15.3590 | + | 22.6529i | −0.743275 | + | 1.09625i | ||||
\(428\) | −19.7755 | − | 9.14914i | −0.955887 | − | 0.442240i | ||||
\(429\) | −1.90934 | + | 2.24785i | −0.0921838 | + | 0.108527i | ||||
\(430\) | 0.522562 | + | 0.494997i | 0.0252002 | + | 0.0238709i | ||||
\(431\) | −9.92076 | − | 1.07895i | −0.477866 | − | 0.0519711i | −0.133983 | − | 0.990984i | \(-0.542777\pi\) |
−0.343883 | + | 0.939013i | \(0.611742\pi\) | |||||||
\(432\) | 0.262864 | + | 0.659739i | 0.0126471 | + | 0.0317417i | ||||
\(433\) | 0.263231 | + | 1.60564i | 0.0126501 | + | 0.0771621i | 0.992397 | − | 0.123077i | \(-0.0392763\pi\) |
−0.979747 | + | 0.200239i | \(0.935828\pi\) | |||||||
\(434\) | −5.74039 | − | 8.46645i | −0.275548 | − | 0.406403i | ||||
\(435\) | −0.607945 | − | 0.462148i | −0.0291487 | − | 0.0221583i | ||||
\(436\) | −42.5961 | + | 4.63261i | −2.03999 | + | 0.221862i | ||||
\(437\) | 10.1319 | + | 19.1107i | 0.484673 | + | 0.914190i | ||||
\(438\) | 12.6438 | + | 7.60752i | 0.604144 | + | 0.363502i | ||||
\(439\) | −7.63965 | + | 4.59663i | −0.364621 | + | 0.219385i | −0.686060 | − | 0.727545i | \(-0.740661\pi\) |
0.321439 | + | 0.946930i | \(0.395834\pi\) | |||||||
\(440\) | −0.257023 | + | 0.484797i | −0.0122531 | + | 0.0231118i | ||||
\(441\) | −0.408203 | + | 1.02451i | −0.0194383 | + | 0.0487864i | ||||
\(442\) | −15.0573 | − | 3.31437i | −0.716204 | − | 0.157648i | ||||
\(443\) | −19.6977 | − | 4.33578i | −0.935864 | − | 0.205999i | −0.279244 | − | 0.960220i | \(-0.590084\pi\) |
−0.656621 | + | 0.754221i | \(0.728015\pi\) | |||||||
\(444\) | 13.1272 | − | 32.9468i | 0.622990 | − | 1.56359i | ||||
\(445\) | −0.953218 | + | 1.79796i | −0.0451868 | + | 0.0852314i | ||||
\(446\) | 27.7022 | − | 16.6679i | 1.31174 | − | 0.789247i | ||||
\(447\) | −18.2019 | − | 10.9517i | −0.860920 | − | 0.517998i | ||||
\(448\) | 17.3942 | + | 32.8089i | 0.821797 | + | 1.55007i | ||||
\(449\) | 29.1937 | − | 3.17501i | 1.37774 | − | 0.149838i | 0.610914 | − | 0.791697i | \(-0.290802\pi\) |
0.766822 | + | 0.641860i | \(0.221837\pi\) | |||||||
\(450\) | 8.90016 | + | 6.76573i | 0.419558 | + | 0.318939i | ||||
\(451\) | 4.88290 | + | 7.20173i | 0.229927 | + | 0.339116i | ||||
\(452\) | 6.18930 | + | 37.7531i | 0.291120 | + | 1.77576i | ||||
\(453\) | 5.69632 | + | 14.2967i | 0.267636 | + | 0.671717i | ||||
\(454\) | −60.4115 | − | 6.57015i | −2.83525 | − | 0.308352i | ||||
\(455\) | −0.950072 | − | 0.899956i | −0.0445400 | − | 0.0421906i | ||||
\(456\) | 7.81801 | − | 9.20407i | 0.366112 | − | 0.431020i | ||||
\(457\) | 15.9315 | + | 7.37068i | 0.745243 | + | 0.344786i | 0.755489 | − | 0.655161i | \(-0.227399\pi\) |
−0.0102461 | + | 0.999948i | \(0.503261\pi\) | |||||||
\(458\) | −20.7775 | + | 30.6446i | −0.970871 | + | 1.43193i | ||||
\(459\) | 2.65747 | − | 0.895405i | 0.124040 | − | 0.0417939i | ||||
\(460\) | −0.668474 | − | 2.40763i | −0.0311678 | − | 0.112256i | ||||
\(461\) | 25.3817 | + | 29.8816i | 1.18214 | + | 1.39173i | 0.901983 | + | 0.431772i | \(0.142111\pi\) |
0.280159 | + | 0.959953i | \(0.409613\pi\) | |||||||
\(462\) | 0.419232 | − | 7.73228i | 0.0195044 | − | 0.359738i | ||||
\(463\) | 27.6598 | + | 9.31967i | 1.28546 | + | 0.433122i | 0.877368 | − | 0.479819i | \(-0.159298\pi\) |
0.408092 | + | 0.912941i | \(0.366194\pi\) | |||||||
\(464\) | 2.29285 | − | 1.74298i | 0.106443 | − | 0.0809159i | ||||
\(465\) | −0.218147 | + | 0.206640i | −0.0101163 | + | 0.00958271i | ||||
\(466\) | −1.12055 | − | 20.6672i | −0.0519083 | − | 0.957391i | ||||
\(467\) | 4.87516 | − | 17.5587i | 0.225596 | − | 0.812522i | −0.760919 | − | 0.648847i | \(-0.775251\pi\) |
0.986514 | − | 0.163675i | \(-0.0523347\pi\) | |||||||
\(468\) | −6.80515 | + | 3.14840i | −0.314568 | + | 0.145535i | ||||
\(469\) | 5.43725 | − | 33.1657i | 0.251069 | − | 1.53145i | ||||
\(470\) | 1.09922 | − | 0.241956i | 0.0507030 | − | 0.0111606i | ||||
\(471\) | 10.7642 | 0.495989 | ||||||||
\(472\) | −5.44861 | + | 17.7096i | −0.250793 | + | 0.815148i | ||||
\(473\) | 2.05052 | 0.0942832 | ||||||||
\(474\) | 16.6926 | − | 3.67432i | 0.766716 | − | 0.168767i | ||||
\(475\) | −4.02088 | + | 24.5263i | −0.184491 | + | 1.12534i | ||||
\(476\) | 22.2498 | − | 10.2939i | 1.01982 | − | 0.471819i | ||||
\(477\) | −1.15949 | + | 4.17609i | −0.0530893 | + | 0.191210i | ||||
\(478\) | 0.914130 | + | 16.8601i | 0.0418113 | + | 0.771165i | ||||
\(479\) | 7.98750 | − | 7.56617i | 0.364958 | − | 0.345707i | −0.483142 | − | 0.875542i | \(-0.660505\pi\) |
0.848101 | + | 0.529835i | \(0.177746\pi\) | |||||||
\(480\) | 0.962960 | − | 0.732023i | 0.0439529 | − | 0.0334121i | ||||
\(481\) | −26.7178 | − | 9.00227i | −1.21823 | − | 0.410468i | ||||
\(482\) | 0.610031 | − | 11.2514i | 0.0277861 | − | 0.512485i | ||||
\(483\) | 7.96223 | + | 9.37387i | 0.362294 | + | 0.426526i | ||||
\(484\) | −7.83893 | − | 28.2333i | −0.356315 | − | 1.28333i | ||||
\(485\) | −1.74595 | + | 0.588279i | −0.0792795 | + | 0.0267124i | ||||
\(486\) | 1.26375 | − | 1.86390i | 0.0573250 | − | 0.0845481i | ||||
\(487\) | 4.93060 | + | 2.28114i | 0.223427 | + | 0.103368i | 0.528410 | − | 0.848990i | \(-0.322789\pi\) |
−0.304983 | + | 0.952358i | \(0.598651\pi\) | |||||||
\(488\) | 15.0149 | − | 17.6769i | 0.679691 | − | 0.800194i | ||||
\(489\) | −5.91400 | − | 5.60204i | −0.267440 | − | 0.253333i | ||||
\(490\) | 0.464911 | + | 0.0505621i | 0.0210025 | + | 0.00228416i | ||||
\(491\) | 7.83109 | + | 19.6546i | 0.353412 | + | 0.886998i | 0.992982 | + | 0.118265i | \(0.0377332\pi\) |
−0.639570 | + | 0.768733i | \(0.720888\pi\) | |||||||
\(492\) | 3.57878 | + | 21.8296i | 0.161344 | + | 0.984154i | ||||
\(493\) | −6.38221 | − | 9.41306i | −0.287440 | − | 0.423943i | ||||
\(494\) | −21.9119 | − | 16.6570i | −0.985861 | − | 0.749432i | ||||
\(495\) | −0.226138 | + | 0.0245940i | −0.0101641 | + | 0.00110542i | ||||
\(496\) | −0.530827 | − | 1.00125i | −0.0238348 | − | 0.0449573i | ||||
\(497\) | 8.19384 | + | 4.93007i | 0.367544 | + | 0.221144i | ||||
\(498\) | 12.7845 | − | 7.69220i | 0.572889 | − | 0.344696i | ||||
\(499\) | −12.8597 | + | 24.2559i | −0.575678 | + | 1.08584i | 0.409175 | + | 0.912456i | \(0.365816\pi\) |
−0.984854 | + | 0.173388i | \(0.944528\pi\) | |||||||
\(500\) | 2.13296 | − | 5.35333i | 0.0953890 | − | 0.239408i | ||||
\(501\) | 19.3908 | + | 4.26824i | 0.866317 | + | 0.190691i | ||||
\(502\) | 18.9635 | + | 4.17417i | 0.846381 | + | 0.186302i | ||||
\(503\) | 6.68512 | − | 16.7784i | 0.298075 | − | 0.748112i | −0.701304 | − | 0.712863i | \(-0.747398\pi\) |
0.999379 | − | 0.0352490i | \(-0.0112224\pi\) | |||||||
\(504\) | 3.21636 | − | 6.06669i | 0.143268 | − | 0.270232i | ||||
\(505\) | −3.01368 | + | 1.81327i | −0.134107 | + | 0.0806895i | ||||
\(506\) | −10.0713 | − | 6.05973i | −0.447726 | − | 0.269388i | ||||
\(507\) | −3.29727 | − | 6.21931i | −0.146437 | − | 0.276209i | ||||
\(508\) | −67.8656 | + | 7.38083i | −3.01105 | + | 0.327471i | ||||
\(509\) | 16.8435 | + | 12.8041i | 0.746577 | + | 0.567533i | 0.907809 | − | 0.419384i | \(-0.137754\pi\) |
−0.161232 | + | 0.986916i | \(0.551547\pi\) | |||||||
\(510\) | −0.667324 | − | 0.984229i | −0.0295496 | − | 0.0435824i | ||||
\(511\) | 3.01761 | + | 18.4066i | 0.133491 | + | 0.814261i | ||||
\(512\) | 2.95676 | + | 7.42091i | 0.130672 | + | 0.327961i | ||||
\(513\) | 4.97690 | + | 0.541270i | 0.219735 | + | 0.0238977i | ||||
\(514\) | 30.1388 | + | 28.5490i | 1.32937 | + | 1.25924i | ||||
\(515\) | 1.15115 | − | 1.35524i | 0.0507258 | − | 0.0597190i | ||||
\(516\) | 4.73132 | + | 2.18894i | 0.208285 | + | 0.0963628i | ||||
\(517\) | 1.79939 | − | 2.65390i | 0.0791372 | − | 0.116719i | ||||
\(518\) | 70.1496 | − | 23.6362i | 3.08220 | − | 1.03851i | ||||
\(519\) | −4.47769 | − | 16.1272i | −0.196549 | − | 0.707905i | ||||
\(520\) | 0.717940 | + | 0.845224i | 0.0314837 | + | 0.0370655i | ||||
\(521\) | 0.00221862 | − | 0.0409200i | 9.71995e−5 | − | 0.00179274i | −0.998484 | − | 0.0550353i | \(-0.982473\pi\) |
0.998582 | + | 0.0532425i | \(0.0169556\pi\) | |||||||
\(522\) | −8.65465 | − | 2.91609i | −0.378804 | − | 0.127634i | ||||
\(523\) | −26.7265 | + | 20.3169i | −1.16867 | + | 0.888398i | −0.995336 | − | 0.0964659i | \(-0.969246\pi\) |
−0.173331 | + | 0.984864i | \(0.555453\pi\) | |||||||
\(524\) | −37.2174 | + | 35.2542i | −1.62585 | + | 1.54009i | ||||
\(525\) | 0.765081 | + | 14.1111i | 0.0333909 | + | 0.615858i | ||||
\(526\) | −4.84450 | + | 17.4483i | −0.211230 | + | 0.760782i | ||||
\(527\) | −4.06127 | + | 1.87894i | −0.176912 | + | 0.0818481i | ||||
\(528\) | 0.138794 | − | 0.846603i | 0.00604021 | − | 0.0368437i | ||||
\(529\) | −4.23039 | + | 0.931179i | −0.183930 | + | 0.0404861i | ||||
\(530\) | 1.83783 | 0.0798304 | ||||||||
\(531\) | −7.34408 | + | 2.25044i | −0.318706 | + | 0.0976610i | ||||
\(532\) | 43.7660 | 1.89750 | ||||||||
\(533\) | 17.1740 | − | 3.78029i | 0.743890 | − | 0.163743i | ||||
\(534\) | −3.93729 | + | 24.0164i | −0.170383 | + | 1.03929i | ||||
\(535\) | −1.21249 | + | 0.560957i | −0.0524204 | + | 0.0242523i | ||||
\(536\) | −7.61940 | + | 27.4426i | −0.329108 | + | 1.18534i | ||||
\(537\) | −0.362673 | − | 6.68910i | −0.0156505 | − | 0.288656i | ||||
\(538\) | −45.1836 | + | 42.8002i | −1.94800 | + | 1.84525i | ||||
\(539\) | 1.06059 | − | 0.806241i | 0.0456829 | − | 0.0347272i | ||||
\(540\) | −0.548039 | − | 0.184656i | −0.0235838 | − | 0.00794632i | ||||
\(541\) | −2.34105 | + | 43.1781i | −0.100650 | + | 1.85637i | 0.317833 | + | 0.948147i | \(0.397045\pi\) |
−0.418483 | + | 0.908225i | \(0.637438\pi\) | |||||||
\(542\) | −6.50461 | − | 7.65782i | −0.279397 | − | 0.328932i | ||||
\(543\) | 2.51316 | + | 9.05158i | 0.107850 | + | 0.388441i | ||||
\(544\) | 17.0709 | − | 5.75187i | 0.731910 | − | 0.246609i | ||||
\(545\) | −1.47428 | + | 2.17440i | −0.0631513 | + | 0.0931411i | ||||
\(546\) | −14.2038 | − | 6.57138i | −0.607867 | − | 0.281229i | ||||
\(547\) | −1.72272 | + | 2.02814i | −0.0736582 | + | 0.0867171i | −0.797757 | − | 0.602979i | \(-0.793980\pi\) |
0.724099 | + | 0.689696i | \(0.242256\pi\) | |||||||
\(548\) | 14.7727 | + | 13.9935i | 0.631061 | + | 0.597772i | ||||
\(549\) | 9.55837 | + | 1.03954i | 0.407941 | + | 0.0443663i | ||||
\(550\) | −4.99884 | − | 12.5461i | −0.213151 | − | 0.534970i | ||||
\(551\) | −3.28463 | − | 20.0354i | −0.139930 | − | 0.853536i | ||||
\(552\) | −5.84899 | − | 8.62662i | −0.248950 | − | 0.367173i | ||||
\(553\) | 17.1999 | + | 13.0750i | 0.731413 | + | 0.556006i | ||||
\(554\) | 57.1179 | − | 6.21195i | 2.42671 | − | 0.263920i | ||||
\(555\) | −1.01855 | − | 1.92119i | −0.0432351 | − | 0.0815500i | ||||
\(556\) | 21.8470 | + | 13.1449i | 0.926519 | + | 0.557468i | ||||
\(557\) | 19.7528 | − | 11.8849i | 0.836953 | − | 0.503578i | −0.0314102 | − | 0.999507i | \(-0.510000\pi\) |
0.868363 | + | 0.495929i | \(0.165172\pi\) | |||||||
\(558\) | −1.68322 | + | 3.17488i | −0.0712563 | + | 0.134404i | ||||
\(559\) | 1.53393 | − | 3.84987i | 0.0648783 | − | 0.162832i | ||||
\(560\) | 0.371764 | + | 0.0818315i | 0.0157099 | + | 0.00345801i | ||||
\(561\) | −3.30839 | − | 0.728231i | −0.139680 | − | 0.0307459i | ||||
\(562\) | 15.8788 | − | 39.8528i | 0.669807 | − | 1.68109i | ||||
\(563\) | −14.0311 | + | 26.4654i | −0.591339 | + | 1.11538i | 0.389585 | + | 0.920990i | \(0.372618\pi\) |
−0.980924 | + | 0.194393i | \(0.937726\pi\) | |||||||
\(564\) | 6.98492 | − | 4.20269i | 0.294118 | − | 0.176965i | ||||
\(565\) | 2.00987 | + | 1.20930i | 0.0845561 | + | 0.0508757i | ||||
\(566\) | −9.21921 | − | 17.3893i | −0.387512 | − | 0.730926i | ||||
\(567\) | 2.82986 | − | 0.307766i | 0.118843 | − | 0.0129250i | ||||
\(568\) | −6.45126 | − | 4.90412i | −0.270689 | − | 0.205772i | ||||
\(569\) | −8.33960 | − | 12.3000i | −0.349614 | − | 0.515642i | 0.611702 | − | 0.791088i | \(-0.290485\pi\) |
−0.961317 | + | 0.275445i | \(0.911175\pi\) | |||||||
\(570\) | −0.343441 | − | 2.09490i | −0.0143852 | − | 0.0877457i | ||||
\(571\) | −10.9394 | − | 27.4559i | −0.457800 | − | 1.14899i | −0.958936 | − | 0.283623i | \(-0.908464\pi\) |
0.501136 | − | 0.865369i | \(-0.332916\pi\) | |||||||
\(572\) | 9.00478 | + | 0.979329i | 0.376509 | + | 0.0409478i | ||||
\(573\) | 2.68137 | + | 2.53993i | 0.112016 | + | 0.106107i | ||||
\(574\) | −29.8907 | + | 35.1900i | −1.24761 | + | 1.46880i | ||||
\(575\) | 19.4677 | + | 9.00672i | 0.811859 | + | 0.375606i | ||||
\(576\) | 7.32096 | − | 10.7976i | 0.305040 | − | 0.449900i | ||||
\(577\) | −8.12741 | + | 2.73844i | −0.338349 | + | 0.114003i | −0.483347 | − | 0.875429i | \(-0.660579\pi\) |
0.144998 | + | 0.989432i | \(0.453682\pi\) | |||||||
\(578\) | 5.50410 | + | 19.8240i | 0.228940 | + | 0.824568i | ||||
\(579\) | 10.1774 | + | 11.9817i | 0.422958 | + | 0.497944i | ||||
\(580\) | −0.126974 | + | 2.34191i | −0.00527233 | + | 0.0972424i | ||||
\(581\) | 17.8727 | + | 6.02201i | 0.741484 | + | 0.249835i | ||||
\(582\) | −17.5407 | + | 13.3341i | −0.727083 | + | 0.552714i | ||||
\(583\) | 3.80103 | − | 3.60053i | 0.157423 | − | 0.149119i | ||||
\(584\) | −0.855746 | − | 15.7833i | −0.0354110 | − | 0.653118i | ||||
\(585\) | −0.122991 | + | 0.442974i | −0.00508506 | + | 0.0183147i | ||||
\(586\) | 26.5868 | − | 12.3004i | 1.09829 | − | 0.508124i | ||||
\(587\) | 7.71692 | − | 47.0711i | 0.318511 | − | 1.94283i | −0.0144584 | − | 0.999895i | \(-0.504602\pi\) |
0.332970 | − | 0.942938i | \(-0.391949\pi\) | |||||||
\(588\) | 3.30784 | − | 0.728112i | 0.136413 | − | 0.0300268i | ||||
\(589\) | −7.98863 | −0.329166 | ||||||||
\(590\) | 1.75264 | + | 2.74540i | 0.0721551 | + | 0.113026i | ||||
\(591\) | −24.4865 | −1.00724 | ||||||||
\(592\) | 8.00933 | − | 1.76299i | 0.329181 | − | 0.0724583i | ||||
\(593\) | 6.49226 | − | 39.6010i | 0.266605 | − | 1.62622i | −0.425874 | − | 0.904782i | \(-0.640033\pi\) |
0.692479 | − | 0.721438i | \(-0.256518\pi\) | |||||||
\(594\) | −2.46893 | + | 1.14225i | −0.101302 | + | 0.0468671i | ||||
\(595\) | 0.402126 | − | 1.44833i | 0.0164856 | − | 0.0593757i | ||||
\(596\) | 3.53203 | + | 65.1444i | 0.144677 | + | 2.66842i | ||||
\(597\) | −13.3675 | + | 12.6623i | −0.547094 | + | 0.518235i | ||||
\(598\) | −18.9112 | + | 14.3759i | −0.773338 | + | 0.587876i | ||||
\(599\) | 17.7351 | + | 5.97564i | 0.724635 | + | 0.244158i | 0.657360 | − | 0.753577i | \(-0.271673\pi\) |
0.0672746 | + | 0.997734i | \(0.478570\pi\) | |||||||
\(600\) | 0.648350 | − | 11.9581i | 0.0264688 | − | 0.488188i | ||||
\(601\) | 21.4320 | + | 25.2317i | 0.874231 | + | 1.02922i | 0.999312 | + | 0.0370779i | \(0.0118050\pi\) |
−0.125081 | + | 0.992146i | \(0.539919\pi\) | |||||||
\(602\) | 2.91096 | + | 10.4843i | 0.118642 | + | 0.427310i | ||||
\(603\) | −11.1887 | + | 3.76991i | −0.455639 | + | 0.153523i | ||||
\(604\) | 26.5243 | − | 39.1205i | 1.07926 | − | 1.59179i | ||||
\(605\) | −1.63049 | − | 0.754346i | −0.0662889 | − | 0.0306685i | ||||
\(606\) | −27.2303 | + | 32.0579i | −1.10615 | + | 1.30226i | ||||
\(607\) | −6.86245 | − | 6.50046i | −0.278538 | − | 0.263846i | 0.535658 | − | 0.844435i | \(-0.320064\pi\) |
−0.814197 | + | 0.580589i | \(0.802822\pi\) | |||||||
\(608\) | 31.9704 | + | 3.47699i | 1.29657 | + | 0.141010i | ||||
\(609\) | −4.27295 | − | 10.7243i | −0.173149 | − | 0.434570i | ||||
\(610\) | −0.659595 | − | 4.02335i | −0.0267062 | − | 0.162901i | ||||
\(611\) | −3.63666 | − | 5.36367i | −0.147123 | − | 0.216991i | ||||
\(612\) | −6.85629 | − | 5.21201i | −0.277149 | − | 0.210683i | ||||
\(613\) | −23.5241 | + | 2.55840i | −0.950129 | + | 0.103333i | −0.570040 | − | 0.821617i | \(-0.693072\pi\) |
−0.380089 | + | 0.924950i | \(0.624107\pi\) | |||||||
\(614\) | 1.50601 | + | 2.84065i | 0.0607778 | + | 0.114639i | ||||
\(615\) | 1.16215 | + | 0.699242i | 0.0468624 | + | 0.0281962i | ||||
\(616\) | −7.10754 | + | 4.27647i | −0.286371 | + | 0.172304i | ||||
\(617\) | 13.9678 | − | 26.3461i | 0.562323 | − | 1.06065i | −0.425484 | − | 0.904966i | \(-0.639896\pi\) |
0.987806 | − | 0.155687i | \(-0.0497592\pi\) | |||||||
\(618\) | 7.87104 | − | 19.7548i | 0.316620 | − | 0.794656i | ||||
\(619\) | −14.4147 | − | 3.17292i | −0.579376 | − | 0.127530i | −0.0843922 | − | 0.996433i | \(-0.526895\pi\) |
−0.494983 | + | 0.868902i | \(0.664826\pi\) | |||||||
\(620\) | 0.901256 | + | 0.198382i | 0.0361953 | + | 0.00796719i | ||||
\(621\) | 1.59925 | − | 4.01382i | 0.0641757 | − | 0.161069i | ||||
\(622\) | 8.26536 | − | 15.5901i | 0.331411 | − | 0.625107i | ||||
\(623\) | −26.3596 | + | 15.8601i | −1.05608 | + | 0.635420i | ||||
\(624\) | −1.48568 | − | 0.893902i | −0.0594747 | − | 0.0357847i | ||||
\(625\) | 11.4617 | + | 21.6190i | 0.458467 | + | 0.864760i | ||||
\(626\) | −8.36380 | + | 0.909618i | −0.334285 | + | 0.0363556i | ||||
\(627\) | −4.81446 | − | 3.65985i | −0.192271 | − | 0.146161i | ||||
\(628\) | −18.5523 | − | 27.3625i | −0.740315 | − | 1.09188i | ||||
\(629\) | −5.23904 | − | 31.9567i | −0.208894 | − | 1.27420i | ||||
\(630\) | −0.446779 | − | 1.12133i | −0.0178001 | − | 0.0446749i | ||||
\(631\) | −19.4108 | − | 2.11105i | −0.772730 | − | 0.0840395i | −0.286746 | − | 0.958007i | \(-0.592573\pi\) |
−0.485985 | + | 0.873967i | \(0.661539\pi\) | |||||||
\(632\) | −13.2922 | − | 12.5911i | −0.528736 | − | 0.500845i | ||||
\(633\) | 9.89882 | − | 11.6538i | 0.393443 | − | 0.463197i | ||||
\(634\) | 18.9912 | + | 8.78628i | 0.754238 | + | 0.348948i | ||||
\(635\) | −2.34887 | + | 3.46433i | −0.0932122 | + | 0.137478i | ||||
\(636\) | 12.6140 | − | 4.25014i | 0.500177 | − | 0.168529i | ||||
\(637\) | −0.720329 | − | 2.59439i | −0.0285405 | − | 0.102794i | ||||
\(638\) | 7.14225 | + | 8.40850i | 0.282764 | + | 0.332896i | ||||
\(639\) | 0.181874 | − | 3.35446i | 0.00719481 | − | 0.132700i | ||||
\(640\) | −2.94970 | − | 0.993870i | −0.116597 | − | 0.0392862i | ||||
\(641\) | −34.9584 | + | 26.5747i | −1.38077 | + | 1.04964i | −0.389053 | + | 0.921215i | \(0.627198\pi\) |
−0.991720 | + | 0.128421i | \(0.959009\pi\) | |||||||
\(642\) | −11.5992 | + | 10.9873i | −0.457784 | + | 0.433636i | ||||
\(643\) | −2.32044 | − | 42.7980i | −0.0915093 | − | 1.68779i | −0.579525 | − | 0.814954i | \(-0.696762\pi\) |
0.488016 | − | 0.872835i | \(-0.337721\pi\) | |||||||
\(644\) | 10.1053 | − | 36.3959i | 0.398203 | − | 1.43420i | ||||
\(645\) | 0.290089 | − | 0.134209i | 0.0114222 | − | 0.00528449i | ||||
\(646\) | 5.11465 | − | 31.1980i | 0.201233 | − | 1.22747i | ||||
\(647\) | −17.5691 | + | 3.86726i | −0.690714 | + | 0.152038i | −0.546438 | − | 0.837500i | \(-0.684016\pi\) |
−0.144276 | + | 0.989537i | \(0.546085\pi\) | |||||||
\(648\) | −2.41224 | −0.0947618 | ||||||||
\(649\) | 9.00338 | + | 2.24444i | 0.353414 | + | 0.0881019i | ||||
\(650\) | −27.2950 | −1.07060 | ||||||||
\(651\) | −4.43614 | + | 0.976468i | −0.173866 | + | 0.0382708i | ||||
\(652\) | −4.04747 | + | 24.6885i | −0.158511 | + | 0.966876i | ||||
\(653\) | 5.31290 | − | 2.45801i | 0.207910 | − | 0.0961893i | −0.313171 | − | 0.949697i | \(-0.601391\pi\) |
0.521080 | + | 0.853508i | \(0.325529\pi\) | |||||||
\(654\) | −8.40508 | + | 30.2724i | −0.328665 | + | 1.18374i | ||||
\(655\) | 0.170165 | + | 3.13851i | 0.00664891 | + | 0.122632i | ||||
\(656\) | −3.71364 | + | 3.51775i | −0.144993 | + | 0.137345i | ||||
\(657\) | 5.21649 | − | 3.96547i | 0.203515 | − | 0.154708i | ||||
\(658\) | 16.1239 | + | 5.43277i | 0.628574 | + | 0.211791i | ||||
\(659\) | 0.483334 | − | 8.91458i | 0.0188280 | − | 0.347263i | −0.973907 | − | 0.226945i | \(-0.927126\pi\) |
0.992735 | − | 0.120317i | \(-0.0383912\pi\) | |||||||
\(660\) | 0.452269 | + | 0.532452i | 0.0176045 | + | 0.0207257i | ||||
\(661\) | −3.81278 | − | 13.7324i | −0.148300 | − | 0.534128i | −0.999950 | − | 0.0100169i | \(-0.996811\pi\) |
0.851650 | − | 0.524111i | \(-0.175602\pi\) | |||||||
\(662\) | −4.82815 | + | 1.62679i | −0.187651 | + | 0.0632271i | ||||
\(663\) | −3.84215 | + | 5.66675i | −0.149217 | + | 0.220078i | ||||
\(664\) | −14.5053 | − | 6.71085i | −0.562913 | − | 0.260431i | ||||
\(665\) | 1.73720 | − | 2.04519i | 0.0673657 | − | 0.0793090i | ||||
\(666\) | −18.8795 | − | 17.8836i | −0.731567 | − | 0.692977i | ||||
\(667\) | −17.4199 | − | 1.89452i | −0.674499 | − | 0.0733562i | ||||
\(668\) | −22.5704 | − | 56.6475i | −0.873277 | − | 2.19176i | ||||
\(669\) | −2.32264 | − | 14.1675i | −0.0897984 | − | 0.547746i | ||||
\(670\) | 2.80962 | + | 4.14389i | 0.108545 | + | 0.160092i | ||||
\(671\) | −9.24640 | − | 7.02893i | −0.356953 | − | 0.271349i | ||||
\(672\) | 18.1783 | − | 1.97701i | 0.701245 | − | 0.0762650i | ||||
\(673\) | −10.8367 | − | 20.4402i | −0.417724 | − | 0.787911i | 0.581956 | − | 0.813221i | \(-0.302288\pi\) |
−0.999680 | + | 0.0253094i | \(0.991943\pi\) | |||||||
\(674\) | −28.2139 | − | 16.9758i | −1.08676 | − | 0.653882i | ||||
\(675\) | 4.25390 | − | 2.55949i | 0.163733 | − | 0.0985148i | ||||
\(676\) | −10.1265 | + | 19.1007i | −0.389482 | + | 0.734642i | ||||
\(677\) | 0.0308850 | − | 0.0775154i | 0.00118701 | − | 0.00297916i | −0.928382 | − | 0.371627i | \(-0.878800\pi\) |
0.929569 | + | 0.368648i | \(0.120179\pi\) | |||||||
\(678\) | 27.3959 | + | 6.03030i | 1.05213 | + | 0.231592i | ||||
\(679\) | −27.2002 | − | 5.98721i | −1.04385 | − | 0.229768i | ||||
\(680\) | −0.471475 | + | 1.18331i | −0.0180802 | + | 0.0453780i | ||||
\(681\) | −12.6399 | + | 23.8414i | −0.484361 | + | 0.913603i | ||||
\(682\) | 3.71959 | − | 2.23800i | 0.142431 | − | 0.0856976i | ||||
\(683\) | −1.25125 | − | 0.752854i | −0.0478779 | − | 0.0288072i | 0.491414 | − | 0.870926i | \(-0.336480\pi\) |
−0.539292 | + | 0.842119i | \(0.681308\pi\) | |||||||
\(684\) | −7.20183 | − | 13.5841i | −0.275369 | − | 0.519401i | ||||
\(685\) | 1.24029 | − | 0.134890i | 0.0473890 | − | 0.00515387i | ||||
\(686\) | −30.0940 | − | 22.8769i | −1.14900 | − | 0.873443i | ||||
\(687\) | 9.22655 | + | 13.6081i | 0.352015 | + | 0.519183i | ||||
\(688\) | 0.195025 | + | 1.18960i | 0.00743527 | + | 0.0453531i | ||||
\(689\) | −3.91659 | − | 9.82990i | −0.149210 | − | 0.374490i | ||||
\(690\) | −1.82142 | − | 0.198091i | −0.0693402 | − | 0.00754120i | ||||
\(691\) | 25.0874 | + | 23.7641i | 0.954370 | + | 0.904028i | 0.995465 | − | 0.0951277i | \(-0.0303259\pi\) |
−0.0410948 | + | 0.999155i | \(0.513085\pi\) | |||||||
\(692\) | −33.2778 | + | 39.1776i | −1.26503 | + | 1.48931i | ||||
\(693\) | −3.12085 | − | 1.44386i | −0.118551 | − | 0.0548477i | ||||
\(694\) | 24.4549 | − | 36.0683i | 0.928295 | − | 1.36913i | ||||
\(695\) | 1.48143 | − | 0.499152i | 0.0561939 | − | 0.0189339i | ||||
\(696\) | 2.61719 | + | 9.42627i | 0.0992044 | + | 0.357302i | ||||
\(697\) | 13.0762 | + | 15.3945i | 0.495295 | + | 0.583107i | ||||
\(698\) | −1.56147 | + | 28.7997i | −0.0591027 | + | 1.09008i | ||||
\(699\) | −8.70992 | − | 2.93472i | −0.329440 | − | 0.111001i | ||||
\(700\) | 34.5516 | − | 26.2654i | 1.30593 | − | 0.992740i | ||||
\(701\) | −6.03961 | + | 5.72103i | −0.228113 | + | 0.216080i | −0.793216 | − | 0.608940i | \(-0.791595\pi\) |
0.565103 | + | 0.825020i | \(0.308836\pi\) | |||||||
\(702\) | 0.297655 | + | 5.48992i | 0.0112343 | + | 0.207204i | ||||
\(703\) | 15.4662 | − | 55.7043i | 0.583320 | − | 2.10093i | ||||
\(704\) | −14.3026 | + | 6.61708i | −0.539049 | + | 0.249391i | ||||
\(705\) | 0.0808597 | − | 0.493222i | 0.00304535 | − | 0.0185758i | ||||
\(706\) | −29.7196 | + | 6.54178i | −1.11851 | + | 0.246203i | ||||
\(707\) | −53.1682 | −1.99960 | ||||||||
\(708\) | 18.3782 | + | 14.7899i | 0.690695 | + | 0.555839i | ||||
\(709\) | −34.8605 | −1.30921 | −0.654607 | − | 0.755970i | \(-0.727166\pi\) | ||||
−0.654607 | + | 0.755970i | \(0.727166\pi\) | |||||||
\(710\) | −1.39122 | + | 0.306231i | −0.0522116 | + | 0.0114926i | ||||
\(711\) | 1.22793 | − | 7.49003i | 0.0460509 | − | 0.280898i | ||||
\(712\) | 23.6600 | − | 10.9463i | 0.886697 | − | 0.410230i | ||||
\(713\) | −1.84452 | + | 6.64336i | −0.0690778 | + | 0.248796i | ||||
\(714\) | −0.973199 | − | 17.9496i | −0.0364211 | − | 0.671747i | ||||
\(715\) | 0.403190 | − | 0.381921i | 0.0150784 | − | 0.0142831i | ||||
\(716\) | −16.3786 | + | 12.4507i | −0.612095 | + | 0.465303i | ||||
\(717\) | 7.10548 | + | 2.39411i | 0.265359 | + | 0.0894098i | ||||
\(718\) | −0.330576 | + | 6.09711i | −0.0123370 | + | 0.227542i | ||||
\(719\) | −1.81076 | − | 2.13179i | −0.0675301 | − | 0.0795025i | 0.727360 | − | 0.686256i | \(-0.240747\pi\) |
−0.794890 | + | 0.606754i | \(0.792471\pi\) | |||||||
\(720\) | −0.0357761 | − | 0.128854i | −0.00133330 | − | 0.00480210i | ||||
\(721\) | 25.4731 | − | 8.58288i | 0.948668 | − | 0.319643i | ||||
\(722\) | 7.66147 | − | 11.2998i | 0.285130 | − | 0.420536i | ||||
\(723\) | −4.54119 | − | 2.10098i | −0.168889 | − | 0.0781363i | ||||
\(724\) | 18.6776 | − | 21.9889i | 0.694146 | − | 0.817212i | ||||
\(725\) | −14.6170 | − | 13.8460i | −0.542862 | − | 0.514226i | ||||
\(726\) | −21.3591 | − | 2.32294i | −0.792709 | − | 0.0862123i | ||||
\(727\) | −2.60923 | − | 6.54867i | −0.0967710 | − | 0.242877i | 0.872620 | − | 0.488400i | \(-0.162419\pi\) |
−0.969391 | + | 0.245524i | \(0.921040\pi\) | |||||||
\(728\) | 2.71218 | + | 16.5435i | 0.100520 | + | 0.613145i | ||||
\(729\) | −0.561187 | − | 0.827689i | −0.0207847 | − | 0.0306551i | ||||
\(730\) | −2.21202 | − | 1.68153i | −0.0818704 | − | 0.0622363i | ||||
\(731\) | 4.73215 | − | 0.514652i | 0.175025 | − | 0.0190351i | ||||
\(732\) | −13.8315 | − | 26.0889i | −0.511226 | − | 0.964274i | ||||
\(733\) | 6.20882 | + | 3.73573i | 0.229328 | + | 0.137982i | 0.625581 | − | 0.780159i | \(-0.284862\pi\) |
−0.396253 | + | 0.918141i | \(0.629690\pi\) | |||||||
\(734\) | 33.7631 | − | 20.3146i | 1.24622 | − | 0.749825i | ||||
\(735\) | 0.0972731 | − | 0.183477i | 0.00358797 | − | 0.00676764i | ||||
\(736\) | 10.2732 | − | 25.7838i | 0.378675 | − | 0.950403i | ||||
\(737\) | 13.9292 | + | 3.06606i | 0.513090 | + | 0.112940i | ||||
\(738\) | 15.8409 | + | 3.48684i | 0.583111 | + | 0.128352i | ||||
\(739\) | −10.3285 | + | 25.9226i | −0.379940 | + | 0.953577i | 0.607320 | + | 0.794458i | \(0.292245\pi\) |
−0.987259 | + | 0.159119i | \(0.949135\pi\) | |||||||
\(740\) | −3.12816 | + | 5.90034i | −0.114993 | + | 0.216901i | ||||
\(741\) | −10.4729 | + | 6.30136i | −0.384733 | + | 0.231486i | ||||
\(742\) | 23.8055 | + | 14.3233i | 0.873929 | + | 0.525826i | ||||
\(743\) | 22.3684 | + | 42.1914i | 0.820618 | + | 1.54785i | 0.836494 | + | 0.547977i | \(0.184602\pi\) |
−0.0158751 | + | 0.999874i | \(0.505053\pi\) | |||||||
\(744\) | 3.82673 | − | 0.416182i | 0.140295 | − | 0.0152580i | ||||
\(745\) | 3.18440 | + | 2.42072i | 0.116667 | + | 0.0886882i | ||||
\(746\) | 25.1509 | + | 37.0949i | 0.920842 | + | 1.35814i | ||||
\(747\) | −1.07189 | − | 6.53827i | −0.0392186 | − | 0.239223i | ||||
\(748\) | 3.85089 | + | 9.66499i | 0.140802 | + | 0.353387i | ||||
\(749\) | −20.0773 | − | 2.18353i | −0.733607 | − | 0.0797846i | ||||
\(750\) | −3.06762 | − | 2.90580i | −0.112014 | − | 0.106105i | ||||
\(751\) | −12.4983 | + | 14.7141i | −0.456069 | + | 0.536926i | −0.941350 | − | 0.337432i | \(-0.890442\pi\) |
0.485280 | + | 0.874359i | \(0.338717\pi\) | |||||||
\(752\) | 1.71079 | + | 0.791496i | 0.0623861 | + | 0.0288629i | ||||
\(753\) | 4.83888 | − | 7.13681i | 0.176338 | − | 0.260080i | ||||
\(754\) | 21.1299 | − | 7.11950i | 0.769506 | − | 0.259277i | ||||
\(755\) | −0.775275 | − | 2.79229i | −0.0282151 | − | 0.101622i | ||||
\(756\) | −5.65964 | − | 6.66304i | −0.205839 | − | 0.242332i | ||||
\(757\) | 0.832112 | − | 15.3474i | 0.0302436 | − | 0.557811i | −0.943669 | − | 0.330890i | \(-0.892651\pi\) |
0.973913 | − | 0.226921i | \(-0.0728660\pi\) | |||||||
\(758\) | −30.5058 | − | 10.2786i | −1.10802 | − | 0.373336i | ||||
\(759\) | −4.15516 | + | 3.15867i | −0.150823 | + | 0.114653i | ||||
\(760\) | −1.65090 | + | 1.56382i | −0.0598846 | + | 0.0567257i | ||||
\(761\) | −1.82847 | − | 33.7241i | −0.0662819 | − | 1.22250i | −0.822726 | − | 0.568439i | \(-0.807548\pi\) |
0.756444 | − | 0.654059i | \(-0.226935\pi\) | |||||||
\(762\) | −13.3913 | + | 48.2309i | −0.485114 | + | 1.74722i | ||||
\(763\) | −36.0428 | + | 16.6752i | −1.30484 | + | 0.603682i | ||||
\(764\) | 1.83510 | − | 11.1936i | 0.0663917 | − | 0.404971i | ||||
\(765\) | −0.515703 | + | 0.113515i | −0.0186453 | + | 0.00410414i | ||||
\(766\) | −17.7664 | −0.641925 | ||||||||
\(767\) | 10.9491 | − | 15.2249i | 0.395349 | − | 0.549740i | ||||
\(768\) | −11.1335 | −0.401744 | ||||||||
\(769\) | 30.1110 | − | 6.62792i | 1.08583 | − | 0.239009i | 0.364222 | − | 0.931312i | \(-0.381335\pi\) |
0.721607 | + | 0.692303i | \(0.243404\pi\) | |||||||
\(770\) | −0.235901 | + | 1.43894i | −0.00850130 | + | 0.0518556i | ||||
\(771\) | 16.7309 | − | 7.74056i | 0.602550 | − | 0.278769i | ||||
\(772\) | 12.9166 | − | 46.5214i | 0.464879 | − | 1.67434i | ||||
\(773\) | 2.21454 | + | 40.8448i | 0.0796515 | + | 1.46909i | 0.716225 | + | 0.697869i | \(0.245868\pi\) |
−0.636574 | + | 0.771216i | \(0.719649\pi\) | |||||||
\(774\) | 2.77512 | − | 2.62873i | 0.0997497 | − | 0.0944879i | ||||
\(775\) | −6.30672 | + | 4.79424i | −0.226544 | + | 0.172214i | ||||
\(776\) | 22.3665 | + | 7.53614i | 0.802909 | + | 0.270532i | ||||
\(777\) | 1.77963 | − | 32.8234i | 0.0638440 | − | 1.17753i | ||||
\(778\) | −4.17228 | − | 4.91199i | −0.149584 | − | 0.176103i | ||||
\(779\) | 9.64673 | + | 34.7444i | 0.345630 | + | 1.24485i | ||||
\(780\) | 1.33801 | − | 0.450828i | 0.0479085 | − | 0.0161422i | ||||
\(781\) | −2.27740 | + | 3.35891i | −0.0814918 | + | 0.120191i | ||||
\(782\) | −24.7633 | − | 11.4567i | −0.885535 | − | 0.409692i | ||||
\(783\) | −2.62548 | + | 3.09095i | −0.0938269 | + | 0.110462i | ||||
\(784\) | 0.568610 | + | 0.538616i | 0.0203075 | + | 0.0192363i | ||||
\(785\) | −2.01504 | − | 0.219149i | −0.0719200 | − | 0.00782177i | ||||
\(786\) | 13.9131 | + | 34.9193i | 0.496265 | + | 1.24553i | ||||
\(787\) | 0.842525 | + | 5.13918i | 0.0300328 | + | 0.183192i | 0.997583 | − | 0.0694876i | \(-0.0221364\pi\) |
−0.967550 | + | 0.252680i | \(0.918688\pi\) | |||||||
\(788\) | 42.2028 | + | 62.2445i | 1.50341 | + | 2.21737i | ||||
\(789\) | 6.40159 | + | 4.86636i | 0.227903 | + | 0.173247i | ||||
\(790\) | −3.19963 | + | 0.347981i | −0.113838 | + | 0.0123806i | ||||
\(791\) | 16.6092 | + | 31.3283i | 0.590555 | + | 1.11390i | ||||
\(792\) | 2.49690 | + | 1.50233i | 0.0887234 | + | 0.0533831i | ||||
\(793\) | −20.1138 | + | 12.1021i | −0.714262 | + | 0.429757i | ||||
\(794\) | −27.7440 | + | 52.3307i | −0.984597 | + | 1.85715i | ||||
\(795\) | 0.302075 | − | 0.758152i | 0.0107135 | − | 0.0268889i | ||||
\(796\) | 55.2265 | + | 12.1563i | 1.95745 | + | 0.430867i | ||||
\(797\) | −7.16238 | − | 1.57656i | −0.253705 | − | 0.0558446i | 0.0862970 | − | 0.996269i | \(-0.472497\pi\) |
−0.340002 | + | 0.940425i | \(0.610428\pi\) | |||||||
\(798\) | 11.8782 | − | 29.8119i | 0.420482 | − | 1.05533i | ||||
\(799\) | 3.48650 | − | 6.57624i | 0.123344 | − | 0.232651i | ||||
\(800\) | 27.3260 | − | 16.4415i | 0.966121 | − | 0.581296i | ||||
\(801\) | 9.26020 | + | 5.57168i | 0.327193 | + | 0.196866i | ||||
\(802\) | 33.8127 | + | 63.7775i | 1.19397 | + | 2.25206i | ||||
\(803\) | −7.86924 | + | 0.855831i | −0.277699 | + | 0.0302016i | ||||
\(804\) | 28.8669 | + | 21.9441i | 1.01806 | + | 0.773908i | ||||
\(805\) | −1.29967 | − | 1.91688i | −0.0458075 | − | 0.0675610i | ||||
\(806\) | −1.41936 | − | 8.65774i | −0.0499950 | − | 0.304956i | ||||
\(807\) | 10.2295 | + | 25.6742i | 0.360097 | + | 0.903775i | ||||
\(808\) | 44.7920 | + | 4.87143i | 1.57578 | + | 0.171376i | ||||
\(809\) | −3.37192 | − | 3.19406i | −0.118551 | − | 0.112297i | 0.626128 | − | 0.779720i | \(-0.284639\pi\) |
−0.744679 | + | 0.667423i | \(0.767397\pi\) | |||||||
\(810\) | −0.274520 | + | 0.323190i | −0.00964565 | + | 0.0113557i | ||||
\(811\) | 2.30696 | + | 1.06731i | 0.0810083 | + | 0.0374784i | 0.459975 | − | 0.887932i | \(-0.347858\pi\) |
−0.378967 | + | 0.925410i | \(0.623720\pi\) | |||||||
\(812\) | −19.8965 | + | 29.3452i | −0.698232 | + | 1.02982i | ||||
\(813\) | −4.22817 | + | 1.42464i | −0.148288 | + | 0.0499642i | ||||
\(814\) | 8.40424 | + | 30.2694i | 0.294569 | + | 1.06094i | ||||
\(815\) | 0.993039 | + | 1.16910i | 0.0347846 | + | 0.0409517i | ||||
\(816\) | 0.107819 | − | 1.98861i | 0.00377442 | − | 0.0696152i | ||||
\(817\) | 8.05294 | + | 2.71335i | 0.281737 | + | 0.0949282i | ||||
\(818\) | 8.99538 | − | 6.83811i | 0.314516 | − | 0.239089i | ||||
\(819\) | −5.04546 | + | 4.77932i | −0.176303 | + | 0.167003i | ||||
\(820\) | −0.225512 | − | 4.15932i | −0.00787522 | − | 0.145250i | ||||
\(821\) | −10.1641 | + | 36.6079i | −0.354730 | + | 1.27762i | 0.543987 | + | 0.839094i | \(0.316914\pi\) |
−0.898717 | + | 0.438529i | \(0.855500\pi\) | |||||||
\(822\) | 13.5412 | − | 6.26485i | 0.472305 | − | 0.218512i | ||||
\(823\) | 4.92898 | − | 30.0654i | 0.171813 | − | 1.04802i | −0.750301 | − | 0.661097i | \(-0.770091\pi\) |
0.922114 | − | 0.386918i | \(-0.126460\pi\) | |||||||
\(824\) | −22.2464 | + | 4.89681i | −0.774991 | + | 0.170588i | ||||
\(825\) | −5.99723 | −0.208797 | ||||||||
\(826\) | 1.30555 | + | 49.2206i | 0.0454259 | + | 1.71260i | ||||
\(827\) | −47.8990 | −1.66561 | −0.832806 | − | 0.553565i | \(-0.813267\pi\) | ||||
−0.832806 | + | 0.553565i | \(0.813267\pi\) | |||||||
\(828\) | −12.9594 | + | 2.85258i | −0.450371 | + | 0.0991341i | ||||
\(829\) | 1.49224 | − | 9.10227i | 0.0518277 | − | 0.316135i | −0.948171 | − | 0.317761i | \(-0.897069\pi\) |
0.999999 | + | 0.00162556i | \(0.000517433\pi\) | |||||||
\(830\) | −2.54985 | + | 1.17969i | −0.0885067 | + | 0.0409475i | ||||
\(831\) | 6.82560 | − | 24.5836i | 0.236777 | − | 0.852795i | ||||
\(832\) | 1.72432 | + | 31.8032i | 0.0597801 | + | 1.10258i | ||||
\(833\) | 2.24525 | − | 2.12682i | 0.0777934 | − | 0.0736899i | ||||
\(834\) | 14.8832 | − | 11.3139i | 0.515362 | − | 0.391768i | ||||
\(835\) | −3.54303 | − | 1.19379i | −0.122612 | − | 0.0413126i | ||||
\(836\) | −1.00554 | + | 18.5461i | −0.0347773 | + | 0.641430i | ||||
\(837\) | 1.03306 | + | 1.21621i | 0.0357077 | + | 0.0420383i | ||||
\(838\) | 5.62580 | + | 20.2623i | 0.194340 | + | 0.699949i | ||||
\(839\) | 42.2381 | − | 14.2317i | 1.45822 | − | 0.491332i | 0.525147 | − | 0.851012i | \(-0.324011\pi\) |
0.933076 | + | 0.359679i | \(0.117114\pi\) | |||||||
\(840\) | −0.725609 | + | 1.07019i | −0.0250359 | + | 0.0369252i | ||||
\(841\) | −11.3927 | − | 5.27082i | −0.392851 | − | 0.181752i | ||||
\(842\) | 12.5990 | − | 14.8327i | 0.434190 | − | 0.511169i | ||||
\(843\) | −13.8303 | − | 13.1008i | −0.476342 | − | 0.451216i | ||||
\(844\) | −46.6845 | − | 5.07725i | −1.60695 | − | 0.174766i | ||||
\(845\) | 0.490624 | + | 1.23137i | 0.0168780 | + | 0.0423606i | ||||
\(846\) | −0.967011 | − | 5.89851i | −0.0332465 | − | 0.202795i | ||||
\(847\) | −15.2408 | − | 22.4784i | −0.523679 | − | 0.772369i | ||||
\(848\) | 2.45035 | + | 1.86270i | 0.0841452 | + | 0.0639655i | ||||
\(849\) | −8.68882 | + | 0.944966i | −0.298200 | + | 0.0324312i | ||||
\(850\) | −14.6851 | − | 27.6991i | −0.503696 | − | 0.950071i | ||||
\(851\) | −42.7527 | − | 25.7235i | −1.46554 | − | 0.881789i | ||||
\(852\) | −8.84046 | + | 5.31913i | −0.302869 | + | 0.182230i | ||||
\(853\) | 22.8340 | − | 43.0695i | 0.781821 | − | 1.47467i | −0.0958443 | − | 0.995396i | \(-0.530555\pi\) |
0.877665 | − | 0.479274i | \(-0.159100\pi\) | |||||||
\(854\) | 22.8126 | − | 57.2553i | 0.780631 | − | 1.95924i | ||||
\(855\) | −0.920647 | − | 0.202650i | −0.0314855 | − | 0.00693048i | ||||
\(856\) | 16.7142 | + | 3.67908i | 0.571280 | + | 0.125748i | ||||
\(857\) | −7.61739 | + | 19.1182i | −0.260205 | + | 0.653066i | −0.999800 | − | 0.0199865i | \(-0.993638\pi\) |
0.739595 | + | 0.673052i | \(0.235017\pi\) | |||||||
\(858\) | 3.11100 | − | 5.86796i | 0.106208 | − | 0.200329i | ||||
\(859\) | 21.5050 | − | 12.9391i | 0.733740 | − | 0.441477i | −0.0990381 | − | 0.995084i | \(-0.531577\pi\) |
0.832778 | + | 0.553607i | \(0.186749\pi\) | |||||||
\(860\) | −0.841131 | − | 0.506092i | −0.0286823 | − | 0.0172576i | ||||
\(861\) | 9.60377 | + | 18.1146i | 0.327296 | + | 0.617345i | ||||
\(862\) | 22.3409 | − | 2.42971i | 0.760933 | − | 0.0827564i | ||||
\(863\) | −23.2570 | − | 17.6795i | −0.791676 | − | 0.601817i | 0.129224 | − | 0.991615i | \(-0.458751\pi\) |
−0.920900 | + | 0.389799i | \(0.872545\pi\) | |||||||
\(864\) | −3.60493 | − | 5.31687i | −0.122642 | − | 0.180884i | ||||
\(865\) | 0.509882 | + | 3.11015i | 0.0173365 | + | 0.105748i | ||||
\(866\) | −1.35621 | − | 3.40382i | −0.0460858 | − | 0.115667i | ||||
\(867\) | 9.08255 | + | 0.987787i | 0.308460 | + | 0.0335470i | ||||
\(868\) | 10.1279 | + | 9.59366i | 0.343764 | + | 0.325630i | ||||
\(869\) | −5.93578 | + | 6.98814i | −0.201358 | + | 0.237056i | ||||
\(870\) | 1.56077 | + | 0.722088i | 0.0529149 | + | 0.0244811i | ||||
\(871\) | 16.1766 | − | 23.8586i | 0.548122 | − | 0.808419i | ||||
\(872\) | 31.8924 | − | 10.7458i | 1.08001 | − | 0.363899i | ||||
\(873\) | 2.61756 | + | 9.42760i | 0.0885910 | + | 0.319076i | ||||
\(874\) | −31.5343 | − | 37.1250i | −1.06666 | − | 1.25577i | ||||
\(875\) | 0.289162 | − | 5.33328i | 0.00977545 | − | 0.180298i | ||||
\(876\) | −19.0709 | − | 6.42572i | −0.644345 | − | 0.217105i | ||||
\(877\) | 33.4438 | − | 25.4233i | 1.12932 | − | 0.858483i | 0.138058 | − | 0.990424i | \(-0.455914\pi\) |
0.991258 | + | 0.131941i | \(0.0421209\pi\) | |||||||
\(878\) | 14.5765 | − | 13.8076i | 0.491934 | − | 0.465984i | ||||
\(879\) | −0.704269 | − | 12.9895i | −0.0237544 | − | 0.438124i | ||||
\(880\) | −0.0432180 | + | 0.155657i | −0.00145688 | + | 0.00524720i | ||||
\(881\) | 26.8469 | − | 12.4207i | 0.904495 | − | 0.418464i | 0.0882025 | − | 0.996103i | \(-0.471888\pi\) |
0.816293 | + | 0.577639i | \(0.196026\pi\) | |||||||
\(882\) | 0.401789 | − | 2.45080i | 0.0135289 | − | 0.0825228i | ||||
\(883\) | 15.3273 | − | 3.37379i | 0.515805 | − | 0.113537i | 0.0505630 | − | 0.998721i | \(-0.483898\pi\) |
0.465242 | + | 0.885184i | \(0.345967\pi\) | |||||||
\(884\) | 21.0268 | 0.707208 | ||||||||
\(885\) | 1.42062 | − | 0.271761i | 0.0477535 | − | 0.00913515i | ||||
\(886\) | 45.4196 | 1.52590 | ||||||||
\(887\) | −24.4061 | + | 5.37218i | −0.819475 | + | 0.180380i | −0.604874 | − | 0.796322i | \(-0.706776\pi\) |
−0.214602 | + | 0.976702i | \(0.568845\pi\) | |||||||
\(888\) | −4.50665 | + | 27.4893i | −0.151233 | + | 0.922481i | ||||
\(889\) | −57.4246 | + | 26.5674i | −1.92596 | + | 0.891044i | ||||
\(890\) | 1.22600 | − | 4.41567i | 0.0410958 | − | 0.148014i | ||||
\(891\) | 0.0654005 | + | 1.20624i | 0.00219100 | + | 0.0404106i | ||||
\(892\) | −32.0104 | + | 30.3219i | −1.07179 | + | 1.01525i | ||||
\(893\) | 10.5785 | − | 8.04153i | 0.353995 | − | 0.269100i | ||||
\(894\) | 45.3328 | + | 15.2744i | 1.51615 | + | 0.510852i | ||||
\(895\) | −0.0682920 | + | 1.25957i | −0.00228275 | + | 0.0421029i | ||||
\(896\) | −30.4618 | − | 35.8624i | −1.01766 | − | 1.19808i | ||||
\(897\) | 2.82209 | + | 10.1643i | 0.0942269 | + | 0.339375i | ||||
\(898\) | −62.6681 | + | 21.1154i | −2.09126 | + | 0.704628i | ||||
\(899\) | 3.63173 | − | 5.35640i | 0.121125 | − | 0.178646i | ||||
\(900\) | −13.8378 | − | 6.40207i | −0.461261 | − | 0.213402i | ||||
\(901\) | 7.86825 | − | 9.26322i | 0.262129 | − | 0.308603i | ||||
\(902\) | −14.2252 | − | 13.4748i | −0.473648 | − | 0.448663i | ||||
\(903\) | 4.80351 | + | 0.522413i | 0.159851 | + | 0.0173848i | ||||
\(904\) | −11.1222 | − | 27.9146i | −0.369918 | − | 0.928424i | ||||
\(905\) | −0.286178 | − | 1.74561i | −0.00951287 | − | 0.0580259i | ||||
\(906\) | −19.4488 | − | 28.6848i | −0.646143 | − | 0.952990i | ||||
\(907\) | 26.3410 | + | 20.0239i | 0.874639 | + | 0.664883i | 0.943005 | − | 0.332777i | \(-0.107986\pi\) |
−0.0683669 | + | 0.997660i | \(0.521779\pi\) | |||||||
\(908\) | 82.3894 | − | 8.96039i | 2.73419 | − | 0.297361i | ||||
\(909\) | 8.74899 | + | 16.5023i | 0.290186 | + | 0.547348i | ||||
\(910\) | 2.52514 | + | 1.51933i | 0.0837076 | + | 0.0503652i | ||||
\(911\) | −19.9535 | + | 12.0056i | −0.661089 | + | 0.397764i | −0.806193 | − | 0.591652i | \(-0.798476\pi\) |
0.145104 | + | 0.989416i | \(0.453648\pi\) | |||||||
\(912\) | 1.66535 | − | 3.14117i | 0.0551451 | − | 0.104015i | ||||
\(913\) | −2.96249 | + | 7.43530i | −0.0980442 | + | 0.246072i | ||||
\(914\) | −38.6059 | − | 8.49780i | −1.27697 | − | 0.281082i | ||||
\(915\) | −1.76815 | − | 0.389199i | −0.0584531 | − | 0.0128665i | ||||
\(916\) | 18.6897 | − | 46.9076i | 0.617525 | − | 1.54987i | ||||
\(917\) | −22.2561 | + | 41.9795i | −0.734962 | + | 1.38629i | ||||
\(918\) | −5.41106 | + | 3.25572i | −0.178591 | + | 0.107455i | ||||
\(919\) | 26.2080 | + | 15.7688i | 0.864521 | + | 0.520165i | 0.877404 | − | 0.479752i | \(-0.159273\pi\) |
−0.0128829 | + | 0.999917i | \(0.504101\pi\) | |||||||
\(920\) | 0.919292 | + | 1.73397i | 0.0303082 | + | 0.0571673i | ||||
\(921\) | 1.41937 | − | 0.154366i | 0.0467699 | − | 0.00508653i | ||||
\(922\) | −70.2871 | − | 53.4308i | −2.31478 | − | 1.75965i | ||||
\(923\) | 4.60274 | + | 6.78853i | 0.151501 | + | 0.223447i | ||||
\(924\) | 1.70855 | + | 10.4217i | 0.0562071 | + | 0.342848i | ||||
\(925\) | −21.2200 | − | 53.2582i | −0.697710 | − | 1.75112i | ||||
\(926\) | −65.3433 | − | 7.10651i | −2.14731 | − | 0.233534i | ||||
\(927\) | −6.85563 | − | 6.49400i | −0.225169 | − | 0.213291i | ||||
\(928\) | −16.8654 | + | 19.8555i | −0.553635 | + | 0.651789i | ||||
\(929\) | −2.42406 | − | 1.12149i | −0.0795309 | − | 0.0367949i | 0.379720 | − | 0.925101i | \(-0.376020\pi\) |
−0.459251 | + | 0.888306i | \(0.651882\pi\) | |||||||
\(930\) | 0.379733 | − | 0.560065i | 0.0124519 | − | 0.0183652i | ||||
\(931\) | 5.23208 | − | 1.76289i | 0.171474 | − | 0.0577765i | ||||
\(932\) | 7.55164 | + | 27.1985i | 0.247362 | + | 0.890918i | ||||
\(933\) | −5.07278 | − | 5.97213i | −0.166075 | − | 0.195519i | ||||
\(934\) | −2.22169 | + | 40.9767i | −0.0726959 | + | 1.34080i | ||||
\(935\) | 0.604498 | + | 0.203679i | 0.0197692 | + | 0.00666102i | ||||
\(936\) | 4.68849 | − | 3.56410i | 0.153248 | − | 0.116496i | ||||
\(937\) | 26.3385 | − | 24.9492i | 0.860442 | − | 0.815054i | −0.123722 | − | 0.992317i | \(-0.539483\pi\) |
0.984163 | + | 0.177263i | \(0.0567244\pi\) | |||||||
\(938\) | 4.09745 | + | 75.5729i | 0.133786 | + | 2.46754i | ||||
\(939\) | −0.999475 | + | 3.59978i | −0.0326166 | + | 0.117474i | ||||
\(940\) | −1.39313 | + | 0.644530i | −0.0454388 | + | 0.0210222i | ||||
\(941\) | 0.456751 | − | 2.78606i | 0.0148897 | − | 0.0908229i | −0.978336 | − | 0.207022i | \(-0.933623\pi\) |
0.993226 | + | 0.116199i | \(0.0370711\pi\) | |||||||
\(942\) | −23.6735 | + | 5.21094i | −0.771326 | + | 0.169782i | ||||
\(943\) | 31.1208 | 1.01343 | ||||||||
\(944\) | −0.445788 | + | 5.43674i | −0.0145092 | + | 0.176951i | ||||
\(945\) | −0.536011 | −0.0174365 | ||||||||
\(946\) | −4.50968 | + | 0.992655i | −0.146622 | + | 0.0322740i | ||||
\(947\) | −7.71239 | + | 47.0435i | −0.250619 | + | 1.52871i | 0.498861 | + | 0.866682i | \(0.333752\pi\) |
−0.749480 | + | 0.662027i | \(0.769697\pi\) | |||||||
\(948\) | −21.1559 | + | 9.78777i | −0.687113 | + | 0.317892i | ||||
\(949\) | −4.27989 | + | 15.4148i | −0.138931 | + | 0.500385i | ||||
\(950\) | −3.03009 | − | 55.8867i | −0.0983091 | − | 1.81320i | ||||
\(951\) | 6.74605 | − | 6.39019i | 0.218756 | − | 0.207216i | ||||
\(952\) | −15.3293 | + | 11.6530i | −0.496825 | + | 0.377677i | ||||
\(953\) | 19.8810 | + | 6.69868i | 0.644008 | + | 0.216992i | 0.622307 | − | 0.782773i | \(-0.286195\pi\) |
0.0217007 | + | 0.999765i | \(0.493092\pi\) | |||||||
\(954\) | 0.528397 | − | 9.74571i | 0.0171075 | − | 0.315529i | ||||
\(955\) | −0.450238 | − | 0.530061i | −0.0145694 | − | 0.0171524i | ||||
\(956\) | −6.16056 | − | 22.1883i | −0.199247 | − | 0.717622i | ||||
\(957\) | 4.64265 | − | 1.56429i | 0.150076 | − | 0.0505663i | ||||
\(958\) | −13.9040 | + | 20.5069i | −0.449218 | + | 0.662547i | ||||
\(959\) | 17.1168 | + | 7.91907i | 0.552730 | + | 0.255720i | ||||
\(960\) | −1.59030 | + | 1.87225i | −0.0513267 | + | 0.0604265i | ||||
\(961\) | 20.6572 | + | 19.5675i | 0.666362 | + | 0.631211i | ||||
\(962\) | 63.1179 | + | 6.86448i | 2.03500 | + | 0.221320i | ||||
\(963\) | 2.62605 | + | 6.59089i | 0.0846233 | + | 0.212388i | ||||
\(964\) | 2.48613 | + | 15.1647i | 0.0800729 | + | 0.488423i | ||||
\(965\) | −1.66125 | − | 2.45016i | −0.0534776 | − | 0.0788736i | ||||
\(966\) | −22.0491 | − | 16.7613i | −0.709417 | − | 0.539285i | ||||
\(967\) | −5.95528 | + | 0.647676i | −0.191509 | + | 0.0208279i | −0.203371 | − | 0.979102i | \(-0.565190\pi\) |
0.0118618 | + | 0.999930i | \(0.496224\pi\) | |||||||
\(968\) | 10.7802 | + | 20.3336i | 0.346488 | + | 0.653546i | ||||
\(969\) | −12.0293 | − | 7.23777i | −0.386436 | − | 0.232511i | ||||
\(970\) | 3.55505 | − | 2.13900i | 0.114146 | − | 0.0686792i | ||||
\(971\) | 29.0691 | − | 54.8301i | 0.932871 | − | 1.75958i | 0.385433 | − | 0.922736i | \(-0.374052\pi\) |
0.547439 | − | 0.836846i | \(-0.315603\pi\) | |||||||
\(972\) | −1.13676 | + | 2.85306i | −0.0364617 | + | 0.0915120i | ||||
\(973\) | 23.0792 | + | 5.08012i | 0.739886 | + | 0.162861i | ||||
\(974\) | −11.9481 | − | 2.62997i | −0.382841 | − | 0.0842697i | ||||
\(975\) | −4.48633 | + | 11.2598i | −0.143678 | + | 0.360604i | ||||
\(976\) | 3.19838 | − | 6.03278i | 0.102378 | − | 0.193104i | ||||
\(977\) | −45.0485 | + | 27.1048i | −1.44123 | + | 0.867160i | −0.999550 | − | 0.0300123i | \(-0.990445\pi\) |
−0.441681 | + | 0.897172i | \(0.645618\pi\) | |||||||
\(978\) | 15.7185 | + | 9.45750i | 0.502622 | + | 0.302418i | ||||
\(979\) | −6.11516 | − | 11.5344i | −0.195442 | − | 0.368642i | ||||
\(980\) | −0.634047 | + | 0.0689567i | −0.0202539 | + | 0.00220274i | ||||
\(981\) | 11.1066 | + | 8.44302i | 0.354606 | + | 0.269565i | ||||
\(982\) | −26.7375 | − | 39.4349i | −0.853228 | − | 1.25842i | ||||
\(983\) | −3.64053 | − | 22.2063i | −0.116115 | − | 0.708270i | −0.979152 | − | 0.203129i | \(-0.934889\pi\) |
0.863037 | − | 0.505141i | \(-0.168559\pi\) | |||||||
\(984\) | −6.43107 | − | 16.1408i | −0.205015 | − | 0.514549i | ||||
\(985\) | 4.58384 | + | 0.498522i | 0.146053 | + | 0.0158842i | ||||
\(986\) | 18.5931 | + | 17.6123i | 0.592126 | + | 0.560891i | ||||
\(987\) | 4.89135 | − | 5.75854i | 0.155693 | − | 0.183296i | ||||
\(988\) | 34.0682 | + | 15.7616i | 1.08385 | + | 0.501445i | ||||
\(989\) | 4.11579 | − | 6.07034i | 0.130875 | − | 0.193026i | ||||
\(990\) | 0.485435 | − | 0.163562i | 0.0154281 | − | 0.00519835i | ||||
\(991\) | 14.5538 | + | 52.4182i | 0.462318 | + | 1.66512i | 0.716209 | + | 0.697886i | \(0.245876\pi\) |
−0.253891 | + | 0.967233i | \(0.581711\pi\) | |||||||
\(992\) | 6.63610 | + | 7.81262i | 0.210696 | + | 0.248051i | ||||
\(993\) | −0.122486 | + | 2.25912i | −0.00388697 | + | 0.0716910i | ||||
\(994\) | −20.4072 | − | 6.87598i | −0.647277 | − | 0.218093i | ||||
\(995\) | 2.76016 | − | 2.09822i | 0.0875029 | − | 0.0665180i | ||||
\(996\) | −14.7728 | + | 13.9935i | −0.468094 | + | 0.443402i | ||||
\(997\) | 2.12470 | + | 39.1879i | 0.0672901 | + | 1.24109i | 0.815944 | + | 0.578131i | \(0.196218\pi\) |
−0.748654 | + | 0.662961i | \(0.769299\pi\) | |||||||
\(998\) | 16.5398 | − | 59.5709i | 0.523558 | − | 1.88569i | ||||
\(999\) | −10.4806 | + | 4.84883i | −0.331591 | + | 0.153410i |
(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 | 177.2.e.a.166.1 | yes | 140 | |
3.2 | odd | 2 | 531.2.i.c.343.5 | 140 | |||
59.16 | even | 29 | inner | 177.2.e.a.16.1 | ✓ | 140 | |
177.134 | odd | 58 | 531.2.i.c.370.5 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.a.16.1 | ✓ | 140 | 59.16 | even | 29 | inner | |
177.2.e.a.166.1 | yes | 140 | 1.1 | even | 1 | trivial | |
531.2.i.c.343.5 | 140 | 3.2 | odd | 2 | |||
531.2.i.c.370.5 | 140 | 177.134 | odd | 58 |