Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(5,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 353.13 | ||
Character | \(\chi\) | \(=\) | 441.353 |
Dual form | 441.2.bn.a.5.13 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{13}{42}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.47430 | − | 1.17571i | −1.04249 | − | 0.831354i | −0.0565362 | − | 0.998401i | \(-0.518006\pi\) |
−0.985949 | + | 0.167046i | \(0.946577\pi\) | |||||||
\(3\) | 1.71213 | + | 0.261949i | 0.988498 | + | 0.151236i | ||||
\(4\) | 0.346209 | + | 1.51684i | 0.173105 | + | 0.758421i | ||||
\(5\) | 3.14585 | − | 2.14480i | 1.40687 | − | 0.959185i | 0.407932 | − | 0.913012i | \(-0.366250\pi\) |
0.998933 | − | 0.0461725i | \(-0.0147024\pi\) | |||||||
\(6\) | −2.21621 | − | 2.39916i | −0.904763 | − | 0.979453i | ||||
\(7\) | 0.361407 | + | 2.62095i | 0.136599 | + | 0.990626i | ||||
\(8\) | −0.363391 | + | 0.754589i | −0.128478 | + | 0.266787i | ||||
\(9\) | 2.86277 | + | 0.896980i | 0.954255 | + | 0.298993i | ||||
\(10\) | −7.15958 | − | 0.536537i | −2.26406 | − | 0.169668i | ||||
\(11\) | 0.626169 | − | 4.15436i | 0.188797 | − | 1.25259i | −0.670810 | − | 0.741630i | \(-0.734053\pi\) |
0.859607 | − | 0.510957i | \(-0.170709\pi\) | |||||||
\(12\) | 0.195420 | + | 2.68772i | 0.0564128 | + | 0.775877i | ||||
\(13\) | 0.0779578 | − | 0.517216i | 0.0216216 | − | 0.143450i | −0.975415 | − | 0.220375i | \(-0.929272\pi\) |
0.997037 | + | 0.0769247i | \(0.0245101\pi\) | |||||||
\(14\) | 2.54866 | − | 4.28897i | 0.681159 | − | 1.14628i | ||||
\(15\) | 5.94792 | − | 2.84813i | 1.53575 | − | 0.735383i | ||||
\(16\) | 4.22647 | − | 2.03536i | 1.05662 | − | 0.508840i | ||||
\(17\) | 3.64219 | + | 3.37946i | 0.883362 | + | 0.819640i | 0.984528 | − | 0.175229i | \(-0.0560667\pi\) |
−0.101166 | + | 0.994870i | \(0.532257\pi\) | |||||||
\(18\) | −3.16598 | − | 4.68820i | −0.746228 | − | 1.10502i | ||||
\(19\) | −5.37051 | + | 3.10066i | −1.23208 | + | 0.711341i | −0.967463 | − | 0.253013i | \(-0.918579\pi\) |
−0.264616 | + | 0.964354i | \(0.585245\pi\) | |||||||
\(20\) | 4.34245 | + | 4.02920i | 0.971001 | + | 0.900957i | ||||
\(21\) | −0.0677794 | + | 4.58207i | −0.0147907 | + | 0.999891i | ||||
\(22\) | −5.80749 | + | 5.38856i | −1.23816 | + | 1.14885i | ||||
\(23\) | −1.64762 | + | 5.34144i | −0.343552 | + | 1.11377i | 0.604755 | + | 0.796412i | \(0.293271\pi\) |
−0.948307 | + | 0.317356i | \(0.897205\pi\) | |||||||
\(24\) | −0.819835 | + | 1.19676i | −0.167348 | + | 0.244288i | ||||
\(25\) | 3.46947 | − | 8.84007i | 0.693894 | − | 1.76801i | ||||
\(26\) | −0.723031 | + | 0.670874i | −0.141798 | + | 0.131569i | ||||
\(27\) | 4.66646 | + | 2.28564i | 0.898060 | + | 0.439872i | ||||
\(28\) | −3.85045 | + | 1.45560i | −0.727666 | + | 0.275082i | ||||
\(29\) | −0.339816 | + | 0.366234i | −0.0631022 | + | 0.0680080i | −0.763814 | − | 0.645437i | \(-0.776675\pi\) |
0.700712 | + | 0.713445i | \(0.252866\pi\) | |||||||
\(30\) | −12.1176 | − | 2.79406i | −2.21236 | − | 0.510124i | ||||
\(31\) | − | 5.17374i | − | 0.929231i | −0.885512 | − | 0.464616i | \(-0.846192\pi\) | ||
0.885512 | − | 0.464616i | \(-0.153808\pi\) | |||||||
\(32\) | −6.99101 | − | 1.59565i | −1.23585 | − | 0.282074i | ||||
\(33\) | 2.16031 | − | 6.94877i | 0.376062 | − | 1.20963i | ||||
\(34\) | −1.39640 | − | 9.26451i | −0.239481 | − | 1.58885i | ||||
\(35\) | 6.75835 | + | 7.46996i | 1.14237 | + | 1.26265i | ||||
\(36\) | −0.369461 | + | 4.65291i | −0.0615768 | + | 0.775485i | ||||
\(37\) | −8.49335 | + | 2.61985i | −1.39630 | + | 0.430701i | −0.899407 | − | 0.437112i | \(-0.856001\pi\) |
−0.496891 | + | 0.867813i | \(0.665525\pi\) | |||||||
\(38\) | 11.5632 | + | 1.74287i | 1.87580 | + | 0.282732i | ||||
\(39\) | 0.268958 | − | 0.865120i | 0.0430677 | − | 0.138530i | ||||
\(40\) | 0.475272 | + | 3.15322i | 0.0751471 | + | 0.498568i | ||||
\(41\) | −0.671933 | − | 8.96633i | −0.104938 | − | 1.40030i | −0.762541 | − | 0.646940i | \(-0.776048\pi\) |
0.657603 | − | 0.753365i | \(-0.271571\pi\) | |||||||
\(42\) | 5.48713 | − | 6.67565i | 0.846682 | − | 1.03007i | ||||
\(43\) | −0.239749 | + | 3.19922i | −0.0365613 | + | 0.487877i | 0.948626 | + | 0.316398i | \(0.102474\pi\) |
−0.985188 | + | 0.171479i | \(0.945145\pi\) | |||||||
\(44\) | 6.51829 | − | 0.488479i | 0.982670 | − | 0.0736409i | ||||
\(45\) | 10.9297 | − | 3.31830i | 1.62930 | − | 0.494664i | ||||
\(46\) | 8.70908 | − | 5.93775i | 1.28408 | − | 0.875473i | ||||
\(47\) | 2.76737 | − | 3.47017i | 0.403663 | − | 0.506177i | −0.537903 | − | 0.843007i | \(-0.680783\pi\) |
0.941565 | + | 0.336830i | \(0.109355\pi\) | |||||||
\(48\) | 7.76942 | − | 2.37768i | 1.12142 | − | 0.343189i | ||||
\(49\) | −6.73877 | + | 1.89446i | −0.962681 | + | 0.270637i | ||||
\(50\) | −15.5084 | + | 8.95379i | −2.19322 | + | 1.26626i | ||||
\(51\) | 5.35066 | + | 6.74014i | 0.749242 | + | 0.943809i | ||||
\(52\) | 0.811525 | − | 0.0608154i | 0.112538 | − | 0.00843358i | ||||
\(53\) | 3.24602 | − | 10.5233i | 0.445875 | − | 1.44549i | −0.402168 | − | 0.915566i | \(-0.631743\pi\) |
0.848043 | − | 0.529927i | \(-0.177781\pi\) | |||||||
\(54\) | −4.19249 | − | 8.85613i | −0.570525 | − | 1.20517i | ||||
\(55\) | −6.94045 | − | 14.4120i | −0.935850 | − | 1.94331i | ||||
\(56\) | −2.10907 | − | 0.679716i | −0.281837 | − | 0.0908308i | ||||
\(57\) | −10.0072 | + | 3.90194i | −1.32549 | + | 0.516824i | ||||
\(58\) | 0.931576 | − | 0.140412i | 0.122322 | − | 0.0184371i | ||||
\(59\) | 5.76292 | − | 2.77527i | 0.750268 | − | 0.361310i | −0.0193517 | − | 0.999813i | \(-0.506160\pi\) |
0.769619 | + | 0.638503i | \(0.220446\pi\) | |||||||
\(60\) | 6.37938 | + | 8.03601i | 0.823575 | + | 1.03744i | ||||
\(61\) | −3.88646 | − | 0.887058i | −0.497610 | − | 0.113576i | −0.0336522 | − | 0.999434i | \(-0.510714\pi\) |
−0.463958 | + | 0.885857i | \(0.653571\pi\) | |||||||
\(62\) | −6.08283 | + | 7.62763i | −0.772520 | + | 0.968710i | ||||
\(63\) | −1.31632 | + | 7.82734i | −0.165840 | + | 0.986153i | ||||
\(64\) | 2.58118 | + | 3.23669i | 0.322647 | + | 0.404587i | ||||
\(65\) | −0.864083 | − | 1.79429i | −0.107176 | − | 0.222554i | ||||
\(66\) | −11.3547 | + | 7.70465i | −1.39767 | + | 0.948376i | ||||
\(67\) | −10.5424 | −1.28796 | −0.643978 | − | 0.765044i | \(-0.722717\pi\) | ||||
−0.643978 | + | 0.765044i | \(0.722717\pi\) | |||||||
\(68\) | −3.86515 | + | 6.69464i | −0.468718 | + | 0.811844i | ||||
\(69\) | −4.22012 | + | 8.71364i | −0.508042 | + | 1.04900i | ||||
\(70\) | −1.18129 | − | 18.9588i | −0.141191 | − | 2.26601i | ||||
\(71\) | −15.0780 | + | 3.44146i | −1.78943 | + | 0.408426i | −0.983104 | − | 0.183046i | \(-0.941404\pi\) |
−0.806326 | + | 0.591472i | \(0.798547\pi\) | |||||||
\(72\) | −1.71715 | + | 1.83426i | −0.202369 | + | 0.216169i | ||||
\(73\) | 0.116249 | + | 0.771264i | 0.0136060 | + | 0.0902697i | 0.994603 | − | 0.103752i | \(-0.0330849\pi\) |
−0.980997 | + | 0.194022i | \(0.937847\pi\) | |||||||
\(74\) | 15.6019 | + | 6.12330i | 1.81369 | + | 0.711819i | ||||
\(75\) | 8.25583 | − | 14.2265i | 0.953301 | − | 1.64274i | ||||
\(76\) | −6.56254 | − | 7.07274i | −0.752775 | − | 0.811299i | ||||
\(77\) | 11.1147 | + | 0.139742i | 1.26663 | + | 0.0159251i | ||||
\(78\) | −1.41366 | + | 0.959226i | −0.160065 | + | 0.108611i | ||||
\(79\) | 5.63084 | 0.633519 | 0.316760 | − | 0.948506i | \(-0.397405\pi\) | ||||
0.316760 | + | 0.948506i | \(0.397405\pi\) | |||||||
\(80\) | 8.93039 | − | 15.4679i | 0.998448 | − | 1.72936i | ||||
\(81\) | 7.39085 | + | 5.13569i | 0.821206 | + | 0.570632i | ||||
\(82\) | −9.55119 | + | 14.0090i | −1.05475 | + | 1.54704i | ||||
\(83\) | −10.8313 | + | 1.63255i | −1.18889 | + | 0.179196i | −0.713548 | − | 0.700607i | \(-0.752913\pi\) |
−0.475339 | + | 0.879803i | \(0.657675\pi\) | |||||||
\(84\) | −6.97375 | + | 1.48355i | −0.760899 | + | 0.161868i | ||||
\(85\) | 18.7061 | + | 2.81949i | 2.02896 | + | 0.305816i | ||||
\(86\) | 4.11483 | − | 4.43473i | 0.443713 | − | 0.478209i | ||||
\(87\) | −0.677743 | + | 0.538026i | −0.0726617 | + | 0.0576824i | ||||
\(88\) | 2.90729 | + | 1.98216i | 0.309918 | + | 0.211299i | ||||
\(89\) | −1.78613 | + | 4.55099i | −0.189330 | + | 0.482404i | −0.993746 | − | 0.111661i | \(-0.964383\pi\) |
0.804417 | + | 0.594066i | \(0.202478\pi\) | |||||||
\(90\) | −20.0149 | − | 7.95798i | −2.10976 | − | 0.838845i | ||||
\(91\) | 1.38377 | + | 0.0173979i | 0.145059 | + | 0.00182379i | ||||
\(92\) | −8.67255 | − | 0.649917i | −0.904175 | − | 0.0677586i | ||||
\(93\) | 1.35526 | − | 8.85811i | 0.140533 | − | 0.918543i | ||||
\(94\) | −8.15985 | + | 1.86243i | −0.841624 | + | 0.192095i | ||||
\(95\) | −10.2445 | + | 21.2729i | −1.05106 | + | 2.18255i | ||||
\(96\) | −11.5515 | − | 4.56325i | −1.17897 | − | 0.465735i | ||||
\(97\) | 11.5129 | + | 6.64700i | 1.16896 | + | 0.674901i | 0.953435 | − | 0.301597i | \(-0.0975198\pi\) |
0.215527 | + | 0.976498i | \(0.430853\pi\) | |||||||
\(98\) | 12.1623 | + | 5.12986i | 1.22858 | + | 0.518194i | ||||
\(99\) | 5.51895 | − | 11.3313i | 0.554675 | − | 1.13884i | ||||
\(100\) | 14.6102 | + | 2.20213i | 1.46102 | + | 0.220213i | ||||
\(101\) | 0.131957 | + | 1.76085i | 0.0131303 | + | 0.175211i | 0.999913 | + | 0.0131644i | \(0.00419049\pi\) |
−0.986783 | + | 0.162047i | \(0.948190\pi\) | |||||||
\(102\) | 0.0360115 | − | 16.2278i | 0.00356567 | − | 1.60679i | ||||
\(103\) | 5.16074 | + | 7.56942i | 0.508503 | + | 0.745837i | 0.991545 | − | 0.129760i | \(-0.0414207\pi\) |
−0.483043 | + | 0.875597i | \(0.660468\pi\) | |||||||
\(104\) | 0.361956 | + | 0.246778i | 0.0354928 | + | 0.0241985i | ||||
\(105\) | 9.61442 | + | 14.5599i | 0.938271 | + | 1.42090i | ||||
\(106\) | −17.1580 | + | 11.6981i | −1.66654 | + | 1.13622i | ||||
\(107\) | −1.31283 | − | 0.515249i | −0.126916 | − | 0.0498110i | 0.301033 | − | 0.953614i | \(-0.402669\pi\) |
−0.427949 | + | 0.903803i | \(0.640764\pi\) | |||||||
\(108\) | −1.85139 | + | 7.86959i | −0.178150 | + | 0.757252i | ||||
\(109\) | 3.58015 | + | 9.12206i | 0.342916 | + | 0.873735i | 0.993451 | + | 0.114259i | \(0.0364494\pi\) |
−0.650535 | + | 0.759476i | \(0.725455\pi\) | |||||||
\(110\) | −6.71207 | + | 29.4075i | −0.639971 | + | 2.80390i | ||||
\(111\) | −15.2280 | + | 2.26070i | −1.44538 | + | 0.214576i | ||||
\(112\) | 6.86206 | + | 10.3418i | 0.648404 | + | 0.977206i | ||||
\(113\) | −2.83262 | − | 1.11172i | −0.266471 | − | 0.104582i | 0.228344 | − | 0.973580i | \(-0.426669\pi\) |
−0.494815 | + | 0.868998i | \(0.664764\pi\) | |||||||
\(114\) | 19.3412 | + | 6.01299i | 1.81147 | + | 0.563169i | ||||
\(115\) | 6.27319 | + | 20.3372i | 0.584978 | + | 1.89645i | ||||
\(116\) | −0.673167 | − | 0.388653i | −0.0625020 | − | 0.0360856i | ||||
\(117\) | 0.687108 | − | 1.41074i | 0.0635231 | − | 0.130423i | ||||
\(118\) | −11.7592 | − | 2.68395i | −1.08252 | − | 0.247078i | ||||
\(119\) | −7.54109 | + | 10.7674i | −0.691291 | + | 0.987044i | ||||
\(120\) | −0.0122567 | + | 5.52322i | −0.00111888 | + | 0.504199i | ||||
\(121\) | −6.35531 | − | 1.96035i | −0.577755 | − | 0.178214i | ||||
\(122\) | 4.68687 | + | 5.87714i | 0.424329 | + | 0.532092i | ||||
\(123\) | 1.19828 | − | 15.5275i | 0.108046 | − | 1.40007i | ||||
\(124\) | 7.84775 | − | 1.79120i | 0.704749 | − | 0.160854i | ||||
\(125\) | −3.80961 | − | 16.6910i | −0.340742 | − | 1.49289i | ||||
\(126\) | 11.1433 | − | 9.99222i | 0.992728 | − | 0.890178i | ||||
\(127\) | −0.564415 | + | 2.47286i | −0.0500837 | + | 0.219431i | −0.993777 | − | 0.111392i | \(-0.964469\pi\) |
0.943693 | + | 0.330823i | \(0.107326\pi\) | |||||||
\(128\) | 6.53503i | 0.577620i | ||||||||
\(129\) | −1.24851 | + | 5.41468i | −0.109925 | + | 0.476736i | ||||
\(130\) | −0.835651 | + | 3.66123i | −0.0732914 | + | 0.321111i | ||||
\(131\) | −0.545989 | + | 7.28572i | −0.0477033 | + | 0.636556i | 0.921196 | + | 0.389099i | \(0.127214\pi\) |
−0.968899 | + | 0.247456i | \(0.920405\pi\) | |||||||
\(132\) | 11.2881 | + | 0.871121i | 0.982504 | + | 0.0758214i | ||||
\(133\) | −10.0676 | − | 12.9552i | −0.872974 | − | 1.12336i | ||||
\(134\) | 15.5426 | + | 12.3948i | 1.34268 | + | 1.07075i | ||||
\(135\) | 19.5822 | − | 2.81835i | 1.68537 | − | 0.242565i | ||||
\(136\) | −3.87365 | + | 1.52029i | −0.332162 | + | 0.130364i | ||||
\(137\) | 5.84411 | − | 8.57173i | 0.499296 | − | 0.732332i | −0.491023 | − | 0.871147i | \(-0.663377\pi\) |
0.990318 | + | 0.138814i | \(0.0443292\pi\) | |||||||
\(138\) | 16.4664 | − | 7.88485i | 1.40172 | − | 0.671203i | ||||
\(139\) | −2.36640 | + | 0.177337i | −0.200715 | + | 0.0150415i | −0.174708 | − | 0.984620i | \(-0.555898\pi\) |
−0.0260069 | + | 0.999662i | \(0.508279\pi\) | |||||||
\(140\) | −8.99095 | + | 12.8375i | −0.759874 | + | 1.08497i | ||||
\(141\) | 5.64710 | − | 5.21647i | 0.475572 | − | 0.439306i | ||||
\(142\) | 26.2756 | + | 12.6537i | 2.20500 | + | 1.06187i | ||||
\(143\) | −2.09989 | − | 0.647729i | −0.175601 | − | 0.0541659i | ||||
\(144\) | 13.9251 | − | 2.03570i | 1.16042 | − | 0.169642i | ||||
\(145\) | −0.283508 | + | 1.88096i | −0.0235441 | + | 0.156205i | ||||
\(146\) | 0.735399 | − | 1.27375i | 0.0608621 | − | 0.105416i | ||||
\(147\) | −12.0339 | + | 1.47835i | −0.992538 | + | 0.121932i | ||||
\(148\) | −6.91438 | − | 11.9761i | −0.568359 | − | 0.984426i | ||||
\(149\) | 3.99130 | − | 1.56647i | 0.326980 | − | 0.128330i | −0.196172 | − | 0.980569i | \(-0.562851\pi\) |
0.523152 | + | 0.852239i | \(0.324756\pi\) | |||||||
\(150\) | −28.8978 | + | 11.2676i | −2.35950 | + | 0.919997i | ||||
\(151\) | −10.3156 | + | 9.57151i | −0.839474 | + | 0.778918i | −0.977372 | − | 0.211528i | \(-0.932156\pi\) |
0.137898 | + | 0.990446i | \(0.455965\pi\) | |||||||
\(152\) | −0.388133 | − | 5.17928i | −0.0314818 | − | 0.420095i | ||||
\(153\) | 7.39544 | + | 12.9416i | 0.597886 | + | 1.04627i | ||||
\(154\) | −16.2220 | − | 13.2737i | −1.30721 | − | 1.06962i | ||||
\(155\) | −11.0967 | − | 16.2758i | −0.891305 | − | 1.30730i | ||||
\(156\) | 1.40537 | + | 0.108454i | 0.112519 | + | 0.00868330i | ||||
\(157\) | 0.322505 | + | 0.669689i | 0.0257387 | + | 0.0534470i | 0.913442 | − | 0.406969i | \(-0.133414\pi\) |
−0.887703 | + | 0.460416i | \(0.847700\pi\) | |||||||
\(158\) | −8.30153 | − | 6.62025i | −0.660434 | − | 0.526679i | ||||
\(159\) | 8.31418 | − | 17.1670i | 0.659358 | − | 1.36143i | ||||
\(160\) | −25.4150 | + | 9.97466i | −2.00923 | + | 0.788566i | ||||
\(161\) | −14.5951 | − | 2.38789i | −1.15026 | − | 0.188192i | ||||
\(162\) | −4.85822 | − | 16.2610i | −0.381698 | − | 1.27759i | ||||
\(163\) | −1.14496 | − | 0.780620i | −0.0896801 | − | 0.0611429i | 0.517650 | − | 0.855593i | \(-0.326807\pi\) |
−0.607330 | + | 0.794450i | \(0.707759\pi\) | |||||||
\(164\) | 13.3679 | − | 4.12344i | 1.04386 | − | 0.321987i | ||||
\(165\) | −8.10773 | − | 26.4932i | −0.631186 | − | 2.06249i | ||||
\(166\) | 17.8879 | + | 10.3276i | 1.38837 | + | 0.801577i | ||||
\(167\) | 1.32042 | − | 0.407297i | 0.102177 | − | 0.0315176i | −0.243245 | − | 0.969965i | \(-0.578212\pi\) |
0.345422 | + | 0.938447i | \(0.387736\pi\) | |||||||
\(168\) | −3.43295 | − | 1.71623i | −0.264858 | − | 0.132410i | ||||
\(169\) | 12.1610 | + | 3.75118i | 0.935462 | + | 0.288552i | ||||
\(170\) | −24.2634 | − | 26.1497i | −1.86092 | − | 2.00559i | ||||
\(171\) | −18.1557 | + | 4.05924i | −1.38840 | + | 0.310418i | ||||
\(172\) | −4.93572 | + | 0.743940i | −0.376345 | + | 0.0567249i | ||||
\(173\) | −3.96438 | − | 17.3691i | −0.301406 | − | 1.32055i | −0.868006 | − | 0.496553i | \(-0.834599\pi\) |
0.566600 | − | 0.823993i | \(-0.308258\pi\) | |||||||
\(174\) | 1.63176 | + | 0.00362107i | 0.123703 | + | 0.000274513i | ||||
\(175\) | 24.4233 | + | 5.89845i | 1.84623 | + | 0.445881i | ||||
\(176\) | −5.80914 | − | 18.8328i | −0.437880 | − | 1.41957i | ||||
\(177\) | 10.5938 | − | 3.24204i | 0.796281 | − | 0.243686i | ||||
\(178\) | 7.98395 | − | 4.60954i | 0.598423 | − | 0.345499i | ||||
\(179\) | −1.04024 | + | 1.12111i | −0.0777510 | + | 0.0837957i | −0.770729 | − | 0.637163i | \(-0.780108\pi\) |
0.692978 | + | 0.720959i | \(0.256298\pi\) | |||||||
\(180\) | 8.81730 | + | 15.4298i | 0.657203 | + | 1.15007i | ||||
\(181\) | −7.78798 | + | 6.21070i | −0.578876 | + | 0.461638i | −0.868629 | − | 0.495463i | \(-0.834998\pi\) |
0.289753 | + | 0.957101i | \(0.406427\pi\) | |||||||
\(182\) | −2.01964 | − | 1.65257i | −0.149705 | − | 0.122497i | ||||
\(183\) | −6.42175 | − | 2.53681i | −0.474709 | − | 0.187526i | ||||
\(184\) | −3.43186 | − | 3.18430i | −0.253000 | − | 0.234750i | ||||
\(185\) | −21.0997 | + | 26.4582i | −1.55128 | + | 1.94525i | ||||
\(186\) | −12.4126 | + | 11.4661i | −0.910139 | + | 0.840734i | ||||
\(187\) | 16.3201 | − | 13.0149i | 1.19345 | − | 0.951741i | ||||
\(188\) | 6.22180 | + | 2.99626i | 0.453771 | + | 0.218525i | ||||
\(189\) | −4.30407 | + | 13.0566i | −0.313075 | + | 0.949729i | ||||
\(190\) | 40.1142 | − | 19.3180i | 2.91019 | − | 1.40147i | ||||
\(191\) | 1.48641 | − | 3.08657i | 0.107553 | − | 0.223337i | −0.840245 | − | 0.542206i | \(-0.817589\pi\) |
0.947798 | + | 0.318870i | \(0.103303\pi\) | |||||||
\(192\) | 3.57146 | + | 6.21777i | 0.257748 | + | 0.448729i | ||||
\(193\) | 8.05156 | + | 3.87742i | 0.579564 | + | 0.279103i | 0.700611 | − | 0.713544i | \(-0.252911\pi\) |
−0.121047 | + | 0.992647i | \(0.538625\pi\) | |||||||
\(194\) | −9.15853 | − | 23.3356i | −0.657544 | − | 1.67540i | ||||
\(195\) | −1.00941 | − | 3.29840i | −0.0722853 | − | 0.236203i | ||||
\(196\) | −5.20663 | − | 9.56577i | −0.371902 | − | 0.683269i | ||||
\(197\) | 1.57393i | 0.112138i | 0.998427 | + | 0.0560689i | \(0.0178566\pi\) | ||||
−0.998427 | + | 0.0560689i | \(0.982143\pi\) | |||||||
\(198\) | −21.4589 | + | 10.2170i | −1.52502 | + | 0.726090i | ||||
\(199\) | 3.64010 | + | 5.33905i | 0.258040 | + | 0.378475i | 0.933296 | − | 0.359108i | \(-0.116919\pi\) |
−0.675256 | + | 0.737584i | \(0.735967\pi\) | |||||||
\(200\) | 5.40984 | + | 5.83043i | 0.382534 | + | 0.412273i | ||||
\(201\) | −18.0499 | − | 2.76156i | −1.27314 | − | 0.194786i | ||||
\(202\) | 1.87571 | − | 2.75116i | 0.131974 | − | 0.193571i | ||||
\(203\) | −1.08269 | − | 0.758281i | −0.0759902 | − | 0.0532209i | ||||
\(204\) | −8.37129 | + | 10.4496i | −0.586107 | + | 0.731619i | ||||
\(205\) | −21.3448 | − | 26.7655i | −1.49079 | − | 1.86939i | ||||
\(206\) | 1.29099 | − | 17.2271i | 0.0899478 | − | 1.20027i | ||||
\(207\) | −9.50791 | + | 13.8134i | −0.660845 | + | 0.960099i | ||||
\(208\) | −0.723236 | − | 2.34467i | −0.0501474 | − | 0.162574i | ||||
\(209\) | 9.51843 | + | 24.2526i | 0.658403 | + | 1.67758i | ||||
\(210\) | 2.94372 | − | 32.7694i | 0.203136 | − | 2.26130i | ||||
\(211\) | −1.38465 | + | 3.52803i | −0.0953232 | + | 0.242880i | −0.970580 | − | 0.240779i | \(-0.922597\pi\) |
0.875257 | + | 0.483659i | \(0.160692\pi\) | |||||||
\(212\) | 17.0861 | + | 1.28042i | 1.17348 | + | 0.0879398i | ||||
\(213\) | −26.7170 | + | 1.94255i | −1.83062 | + | 0.133101i | ||||
\(214\) | 1.32972 | + | 2.30314i | 0.0908979 | + | 0.157440i | ||||
\(215\) | 6.10749 | + | 10.5785i | 0.416527 | + | 0.721447i | ||||
\(216\) | −3.42047 | + | 2.69068i | −0.232733 | + | 0.183077i | ||||
\(217\) | 13.5601 | − | 1.86983i | 0.920521 | − | 0.126932i | ||||
\(218\) | 5.44672 | − | 17.6578i | 0.368899 | − | 1.19594i | ||||
\(219\) | −0.00299793 | + | 1.35095i | −0.000202582 | + | 0.0912891i | ||||
\(220\) | 19.4579 | − | 15.5171i | 1.31185 | − | 1.04616i | ||||
\(221\) | 2.03185 | − | 1.62035i | 0.136677 | − | 0.108996i | ||||
\(222\) | 25.1085 | + | 14.5708i | 1.68517 | + | 0.977927i | ||||
\(223\) | −6.89590 | + | 22.3559i | −0.461783 | + | 1.49706i | 0.363094 | + | 0.931753i | \(0.381720\pi\) |
−0.824877 | + | 0.565312i | \(0.808756\pi\) | |||||||
\(224\) | 1.65552 | − | 18.8998i | 0.110614 | − | 1.26279i | ||||
\(225\) | 17.8617 | − | 22.1950i | 1.19078 | − | 1.47967i | ||||
\(226\) | 2.86906 | + | 4.96936i | 0.190847 | + | 0.330557i | ||||
\(227\) | −5.05499 | − | 8.75550i | −0.335512 | − | 0.581123i | 0.648071 | − | 0.761580i | \(-0.275576\pi\) |
−0.983583 | + | 0.180456i | \(0.942243\pi\) | |||||||
\(228\) | −9.38321 | − | 13.8285i | −0.621419 | − | 0.915814i | ||||
\(229\) | −6.07334 | − | 0.455134i | −0.401338 | − | 0.0300761i | −0.127467 | − | 0.991843i | \(-0.540685\pi\) |
−0.273870 | + | 0.961767i | \(0.588304\pi\) | |||||||
\(230\) | 14.6621 | − | 37.3585i | 0.966792 | − | 2.46335i | ||||
\(231\) | 18.9931 | + | 3.15073i | 1.24966 | + | 0.207303i | ||||
\(232\) | −0.152870 | − | 0.389507i | −0.0100364 | − | 0.0255724i | ||||
\(233\) | 2.31201 | + | 7.49536i | 0.151465 | + | 0.491037i | 0.999226 | − | 0.0393412i | \(-0.0125259\pi\) |
−0.847761 | + | 0.530379i | \(0.822050\pi\) | |||||||
\(234\) | −2.67163 | + | 1.27201i | −0.174650 | + | 0.0831540i | ||||
\(235\) | 1.26289 | − | 16.8521i | 0.0823819 | − | 1.09931i | ||||
\(236\) | 6.20483 | + | 7.78061i | 0.403900 | + | 0.506475i | ||||
\(237\) | 9.64072 | + | 1.47499i | 0.626232 | + | 0.0958110i | ||||
\(238\) | 23.7771 | − | 7.00815i | 1.54124 | − | 0.454271i | ||||
\(239\) | −9.84536 | + | 14.4405i | −0.636843 | + | 0.934078i | 0.363154 | + | 0.931729i | \(0.381700\pi\) |
−0.999997 | + | 0.00234854i | \(0.999252\pi\) | |||||||
\(240\) | 19.3418 | − | 24.1437i | 1.24851 | − | 1.55847i | ||||
\(241\) | −9.87723 | − | 10.6451i | −0.636248 | − | 0.685713i | 0.329807 | − | 0.944048i | \(-0.393016\pi\) |
−0.966055 | + | 0.258336i | \(0.916826\pi\) | |||||||
\(242\) | 7.06480 | + | 10.3622i | 0.454142 | + | 0.666105i | ||||
\(243\) | 11.3088 | + | 10.7290i | 0.725460 | + | 0.688264i | ||||
\(244\) | − | 6.20225i | − | 0.397058i | ||||||
\(245\) | −17.1359 | + | 20.4130i | −1.09477 | + | 1.30414i | ||||
\(246\) | −20.0225 | + | 21.4833i | −1.27659 | + | 1.36973i | ||||
\(247\) | 1.18504 | + | 3.01944i | 0.0754024 | + | 0.192122i | ||||
\(248\) | 3.90405 | + | 1.88009i | 0.247907 | + | 0.119386i | ||||
\(249\) | −18.9722 | − | 0.0421016i | −1.20231 | − | 0.00266808i | ||||
\(250\) | −14.0073 | + | 29.0865i | −0.885900 | + | 1.83959i | ||||
\(251\) | 13.3249 | − | 6.41692i | 0.841059 | − | 0.405032i | 0.0368076 | − | 0.999322i | \(-0.488281\pi\) |
0.804251 | + | 0.594290i | \(0.202567\pi\) | |||||||
\(252\) | −12.3286 | + | 0.713256i | −0.776627 | + | 0.0449309i | ||||
\(253\) | 21.1586 | + | 10.1894i | 1.33023 | + | 0.640604i | ||||
\(254\) | 3.73949 | − | 2.98214i | 0.234636 | − | 0.187116i | ||||
\(255\) | 31.2886 | + | 9.72735i | 1.95937 | + | 0.609151i | ||||
\(256\) | 12.8457 | − | 16.1080i | 0.802854 | − | 1.00675i | ||||
\(257\) | −3.70924 | − | 3.44168i | −0.231376 | − | 0.214686i | 0.555961 | − | 0.831208i | \(-0.312350\pi\) |
−0.787337 | + | 0.616523i | \(0.788541\pi\) | |||||||
\(258\) | 8.20679 | − | 6.51495i | 0.510932 | − | 0.405603i | ||||
\(259\) | −9.93606 | − | 21.3138i | −0.617397 | − | 1.32438i | ||||
\(260\) | 2.42250 | − | 1.93188i | 0.150237 | − | 0.119810i | ||||
\(261\) | −1.30132 | + | 0.743635i | −0.0805496 | + | 0.0460299i | ||||
\(262\) | 9.37086 | − | 10.0994i | 0.578933 | − | 0.623942i | ||||
\(263\) | 21.4080 | − | 12.3599i | 1.32008 | − | 0.762146i | 0.336335 | − | 0.941742i | \(-0.390813\pi\) |
0.983740 | + | 0.179597i | \(0.0574793\pi\) | |||||||
\(264\) | 4.45843 | + | 4.15527i | 0.274397 | + | 0.255739i | ||||
\(265\) | −12.3590 | − | 40.0669i | −0.759208 | − | 2.46129i | ||||
\(266\) | −0.388958 | + | 30.9365i | −0.0238485 | + | 1.89684i | ||||
\(267\) | −4.25022 | + | 7.32401i | −0.260109 | + | 0.448222i | ||||
\(268\) | −3.64987 | − | 15.9911i | −0.222951 | − | 0.976814i | ||||
\(269\) | 7.76224 | − | 1.16997i | 0.473272 | − | 0.0713343i | 0.0919245 | − | 0.995766i | \(-0.470698\pi\) |
0.381348 | + | 0.924432i | \(0.375460\pi\) | |||||||
\(270\) | −32.1836 | − | 18.8680i | −1.95863 | − | 1.14827i | ||||
\(271\) | 0.343774 | + | 0.370500i | 0.0208828 | + | 0.0225063i | 0.743407 | − | 0.668839i | \(-0.233209\pi\) |
−0.722524 | + | 0.691346i | \(0.757018\pi\) | |||||||
\(272\) | 22.2721 | + | 6.87002i | 1.35044 | + | 0.416556i | ||||
\(273\) | 2.36464 | + | 0.392265i | 0.143114 | + | 0.0237410i | ||||
\(274\) | −18.6938 | + | 5.76629i | −1.12934 | + | 0.348354i | ||||
\(275\) | −34.5523 | − | 19.9488i | −2.08359 | − | 1.20296i | ||||
\(276\) | −14.6783 | − | 3.38451i | −0.883528 | − | 0.203723i | ||||
\(277\) | 8.26438 | − | 2.54922i | 0.496559 | − | 0.153168i | −0.0363529 | − | 0.999339i | \(-0.511574\pi\) |
0.532912 | + | 0.846171i | \(0.321098\pi\) | |||||||
\(278\) | 3.69727 | + | 2.52076i | 0.221748 | + | 0.151185i | ||||
\(279\) | 4.64074 | − | 14.8112i | 0.277834 | − | 0.886724i | ||||
\(280\) | −8.09268 | + | 2.38526i | −0.483630 | + | 0.142547i | ||||
\(281\) | −10.2096 | + | 4.00699i | −0.609056 | + | 0.239037i | −0.649766 | − | 0.760134i | \(-0.725133\pi\) |
0.0407101 | + | 0.999171i | \(0.487038\pi\) | |||||||
\(282\) | −14.4586 | + | 1.05126i | −0.860996 | + | 0.0626016i | ||||
\(283\) | −11.0724 | − | 8.82992i | −0.658184 | − | 0.524884i | 0.236473 | − | 0.971638i | \(-0.424009\pi\) |
−0.894657 | + | 0.446754i | \(0.852580\pi\) | |||||||
\(284\) | −10.4403 | − | 21.6795i | −0.619517 | − | 1.28644i | ||||
\(285\) | −23.1123 | + | 33.7384i | −1.36905 | + | 1.99849i | ||||
\(286\) | 2.33431 | + | 3.42381i | 0.138031 | + | 0.202454i | ||||
\(287\) | 23.2575 | − | 5.00160i | 1.37284 | − | 0.295235i | ||||
\(288\) | −18.5824 | − | 10.8388i | −1.09498 | − | 0.638681i | ||||
\(289\) | 0.574402 | + | 7.66486i | 0.0337883 | + | 0.450874i | ||||
\(290\) | 2.62944 | − | 2.43976i | 0.154406 | − | 0.143268i | ||||
\(291\) | 17.9705 | + | 14.3963i | 1.05345 | + | 0.843927i | ||||
\(292\) | −1.12964 | + | 0.443351i | −0.0661072 | + | 0.0259452i | ||||
\(293\) | 2.87718 | + | 4.98342i | 0.168087 | + | 0.291135i | 0.937747 | − | 0.347319i | \(-0.112908\pi\) |
−0.769660 | + | 0.638453i | \(0.779574\pi\) | |||||||
\(294\) | 19.4796 | + | 11.9689i | 1.13608 | + | 0.698039i | ||||
\(295\) | 12.1768 | − | 21.0909i | 0.708963 | − | 1.22796i | ||||
\(296\) | 1.10950 | − | 7.36102i | 0.0644881 | − | 0.427851i | ||||
\(297\) | 12.4174 | − | 17.9549i | 0.720529 | − | 1.04185i | ||||
\(298\) | −7.72607 | − | 2.38318i | −0.447559 | − | 0.138054i | ||||
\(299\) | 2.63424 | + | 1.26858i | 0.152342 | + | 0.0733639i | ||||
\(300\) | 24.4376 | + | 7.59744i | 1.41091 | + | 0.438638i | ||||
\(301\) | −8.47166 | + | 0.527853i | −0.488298 | + | 0.0304250i | ||||
\(302\) | 26.4616 | − | 1.98303i | 1.52270 | − | 0.114110i | ||||
\(303\) | −0.235325 | + | 3.04937i | −0.0135190 | + | 0.175182i | ||||
\(304\) | −16.3873 | + | 24.0358i | −0.939878 | + | 1.37855i | ||||
\(305\) | −14.1288 | + | 5.54513i | −0.809011 | + | 0.317513i | ||||
\(306\) | 4.31251 | − | 27.7746i | 0.246530 | − | 1.58777i | ||||
\(307\) | 6.85357 | + | 5.46554i | 0.391154 | + | 0.311935i | 0.799244 | − | 0.601007i | \(-0.205234\pi\) |
−0.408090 | + | 0.912942i | \(0.633805\pi\) | |||||||
\(308\) | 3.63604 | + | 16.9076i | 0.207182 | + | 0.963399i | ||||
\(309\) | 6.85305 | + | 14.3117i | 0.389856 | + | 0.814162i | ||||
\(310\) | −2.77590 | + | 37.0418i | −0.157661 | + | 2.10383i | ||||
\(311\) | 1.43529 | − | 6.28840i | 0.0813877 | − | 0.356583i | −0.917793 | − | 0.397060i | \(-0.870031\pi\) |
0.999180 | + | 0.0404770i | \(0.0128877\pi\) | |||||||
\(312\) | 0.555073 | + | 0.517329i | 0.0314248 | + | 0.0292880i | ||||
\(313\) | − | 9.78149i | − | 0.552882i | −0.961031 | − | 0.276441i | \(-0.910845\pi\) | ||
0.961031 | − | 0.276441i | \(-0.0891551\pi\) | |||||||
\(314\) | 0.311893 | − | 1.36649i | 0.0176011 | − | 0.0771157i | ||||
\(315\) | 12.6472 | + | 27.4469i | 0.712588 | + | 1.54646i | ||||
\(316\) | 1.94945 | + | 8.54110i | 0.109665 | + | 0.480474i | ||||
\(317\) | 5.98891 | − | 1.36693i | 0.336371 | − | 0.0767744i | −0.0509995 | − | 0.998699i | \(-0.516241\pi\) |
0.387370 | + | 0.921924i | \(0.373384\pi\) | |||||||
\(318\) | −32.4411 | + | 15.5342i | −1.81920 | + | 0.871115i | ||||
\(319\) | 1.30869 | + | 1.64104i | 0.0732724 | + | 0.0918807i | ||||
\(320\) | 15.0621 | + | 4.64603i | 0.841995 | + | 0.259721i | ||||
\(321\) | −2.11277 | − | 1.22607i | −0.117923 | − | 0.0684324i | ||||
\(322\) | 18.7101 | + | 20.6801i | 1.04267 | + | 1.15246i | ||||
\(323\) | −30.0390 | − | 6.85621i | −1.67142 | − | 0.381490i | ||||
\(324\) | −5.23124 | + | 12.9888i | −0.290625 | + | 0.721599i | ||||
\(325\) | −4.30176 | − | 2.48362i | −0.238618 | − | 0.137766i | ||||
\(326\) | 0.770225 | + | 2.49701i | 0.0426588 | + | 0.138296i | ||||
\(327\) | 3.74015 | + | 16.5560i | 0.206831 | + | 0.915546i | ||||
\(328\) | 7.01006 | + | 2.75125i | 0.387066 | + | 0.151912i | ||||
\(329\) | 10.0953 | + | 5.99900i | 0.556572 | + | 0.330735i | ||||
\(330\) | −19.1952 | + | 48.5912i | −1.05666 | + | 2.67486i | ||||
\(331\) | 0.278653 | − | 1.22086i | 0.0153161 | − | 0.0671044i | −0.966692 | − | 0.255941i | \(-0.917615\pi\) |
0.982008 | + | 0.188837i | \(0.0604718\pi\) | |||||||
\(332\) | −6.22621 | − | 15.8641i | −0.341708 | − | 0.870657i | ||||
\(333\) | −26.6644 | − | 0.118344i | −1.46120 | − | 0.00648520i | ||||
\(334\) | −2.42556 | − | 0.951962i | −0.132721 | − | 0.0520890i | ||||
\(335\) | −33.1647 | + | 22.6113i | −1.81198 | + | 1.23539i | ||||
\(336\) | 9.03971 | + | 19.5040i | 0.493157 | + | 1.06403i | ||||
\(337\) | −6.74049 | − | 4.59559i | −0.367178 | − | 0.250338i | 0.365649 | − | 0.930753i | \(-0.380847\pi\) |
−0.732827 | + | 0.680415i | \(0.761799\pi\) | |||||||
\(338\) | −13.5186 | − | 19.8282i | −0.735317 | − | 1.07851i | ||||
\(339\) | −4.55860 | − | 2.64541i | −0.247589 | − | 0.143679i | ||||
\(340\) | 2.19950 | + | 29.3503i | 0.119285 | + | 1.59174i | ||||
\(341\) | −21.4936 | − | 3.23964i | −1.16394 | − | 0.175436i | ||||
\(342\) | 31.5394 | + | 15.3614i | 1.70546 | + | 0.830650i | ||||
\(343\) | −7.40073 | − | 16.9773i | −0.399602 | − | 0.916689i | ||||
\(344\) | −2.32698 | − | 1.34348i | −0.125462 | − | 0.0724356i | ||||
\(345\) | 5.41320 | + | 36.4631i | 0.291437 | + | 1.96311i | ||||
\(346\) | −14.5764 | + | 30.2681i | −0.783630 | + | 1.62722i | ||||
\(347\) | 33.2496 | − | 7.58902i | 1.78493 | − | 0.407400i | 0.802902 | − | 0.596111i | \(-0.203288\pi\) |
0.982033 | + | 0.188711i | \(0.0604310\pi\) | |||||||
\(348\) | −1.05074 | − | 0.841760i | −0.0563257 | − | 0.0451231i | ||||
\(349\) | −28.3561 | − | 2.12500i | −1.51787 | − | 0.113748i | −0.710458 | − | 0.703740i | \(-0.751512\pi\) |
−0.807409 | + | 0.589991i | \(0.799131\pi\) | |||||||
\(350\) | −29.0723 | − | 37.4108i | −1.55398 | − | 1.99969i | ||||
\(351\) | 1.54596 | − | 2.23538i | 0.0825172 | − | 0.119316i | ||||
\(352\) | −11.0065 | + | 28.0440i | −0.586647 | + | 1.49475i | ||||
\(353\) | 4.48023 | + | 3.05457i | 0.238459 | + | 0.162578i | 0.676653 | − | 0.736302i | \(-0.263430\pi\) |
−0.438195 | + | 0.898880i | \(0.644382\pi\) | |||||||
\(354\) | −19.4302 | − | 7.67558i | −1.03270 | − | 0.407952i | ||||
\(355\) | −40.0519 | + | 43.1656i | −2.12573 | + | 2.29099i | ||||
\(356\) | −7.52152 | − | 1.13369i | −0.398640 | − | 0.0600853i | ||||
\(357\) | −15.7318 | + | 16.4597i | −0.832616 | + | 0.871142i | ||||
\(358\) | 2.85172 | − | 0.429828i | 0.150718 | − | 0.0227171i | ||||
\(359\) | 7.99420 | − | 11.7253i | 0.421918 | − | 0.618840i | −0.555155 | − | 0.831747i | \(-0.687341\pi\) |
0.977072 | + | 0.212907i | \(0.0682933\pi\) | |||||||
\(360\) | −1.46779 | + | 9.45325i | −0.0773591 | + | 0.498230i | ||||
\(361\) | 9.72824 | − | 16.8498i | 0.512013 | − | 0.886832i | ||||
\(362\) | 18.7838 | 0.987254 | ||||||||
\(363\) | −10.3676 | − | 5.02114i | −0.544157 | − | 0.263542i | ||||
\(364\) | 0.452685 | + | 2.10499i | 0.0237272 | + | 0.110331i | ||||
\(365\) | 2.01991 | + | 2.17695i | 0.105727 | + | 0.113947i | ||||
\(366\) | 6.48500 | + | 11.2901i | 0.338977 | + | 0.590145i | ||||
\(367\) | 15.7684 | + | 6.18866i | 0.823106 | + | 0.323045i | 0.739249 | − | 0.673432i | \(-0.235181\pi\) |
0.0838574 | + | 0.996478i | \(0.473276\pi\) | |||||||
\(368\) | 3.90816 | + | 25.9289i | 0.203727 | + | 1.35164i | ||||
\(369\) | 6.11903 | − | 26.2712i | 0.318544 | − | 1.36762i | ||||
\(370\) | 62.2145 | − | 14.2001i | 3.23438 | − | 0.738226i | ||||
\(371\) | 28.7543 | + | 4.70445i | 1.49285 | + | 0.244243i | ||||
\(372\) | 13.9056 | − | 1.01105i | 0.720970 | − | 0.0524206i | ||||
\(373\) | 11.1800 | − | 19.3644i | 0.578880 | − | 1.00265i | −0.416729 | − | 0.909031i | \(-0.636823\pi\) |
0.995608 | − | 0.0936179i | \(-0.0298432\pi\) | |||||||
\(374\) | −39.3625 | −2.03538 | ||||||||
\(375\) | −2.15035 | − | 29.5750i | −0.111044 | − | 1.52725i | ||||
\(376\) | 1.61292 | + | 3.34926i | 0.0831798 | + | 0.172725i | ||||
\(377\) | 0.162931 | + | 0.204309i | 0.00839138 | + | 0.0105225i | ||||
\(378\) | 21.6963 | − | 14.1890i | 1.11594 | − | 0.729802i | ||||
\(379\) | 22.6786 | − | 28.4380i | 1.16492 | − | 1.46076i | 0.303526 | − | 0.952823i | \(-0.401836\pi\) |
0.861393 | − | 0.507939i | \(-0.169593\pi\) | |||||||
\(380\) | −35.8144 | − | 8.17440i | −1.83724 | − | 0.419338i | ||||
\(381\) | −1.61411 | + | 4.08601i | −0.0826935 | + | 0.209333i | ||||
\(382\) | −5.82034 | + | 2.80293i | −0.297794 | + | 0.143410i | ||||
\(383\) | −11.0393 | + | 1.66391i | −0.564084 | + | 0.0850220i | −0.424893 | − | 0.905243i | \(-0.639688\pi\) |
−0.139191 | + | 0.990266i | \(0.544450\pi\) | |||||||
\(384\) | −1.71184 | + | 11.1888i | −0.0873571 | + | 0.570976i | ||||
\(385\) | 35.2648 | − | 23.3992i | 1.79726 | − | 1.19253i | ||||
\(386\) | −7.31165 | − | 15.1828i | −0.372153 | − | 0.772784i | ||||
\(387\) | −3.55598 | + | 8.94358i | −0.180761 | + | 0.454628i | ||||
\(388\) | −6.09656 | + | 19.7646i | −0.309506 | + | 1.00339i | ||||
\(389\) | −25.0791 | + | 1.87942i | −1.27156 | + | 0.0952902i | −0.693352 | − | 0.720599i | \(-0.743867\pi\) |
−0.578208 | + | 0.815889i | \(0.696248\pi\) | |||||||
\(390\) | −2.38980 | + | 6.04959i | −0.121012 | + | 0.306333i | ||||
\(391\) | −24.0521 | + | 13.8865i | −1.21637 | + | 0.702271i | ||||
\(392\) | 1.01927 | − | 5.77343i | 0.0514808 | − | 0.291602i | ||||
\(393\) | −2.84329 | + | 12.3311i | −0.143425 | + | 0.622020i | ||||
\(394\) | 1.85049 | − | 2.32044i | 0.0932262 | − | 0.116902i | ||||
\(395\) | 17.7138 | − | 12.0770i | 0.891276 | − | 0.607662i | ||||
\(396\) | 19.0985 | + | 4.44838i | 0.959736 | + | 0.223539i | ||||
\(397\) | −24.8451 | + | 1.86189i | −1.24694 | + | 0.0934454i | −0.681794 | − | 0.731544i | \(-0.738800\pi\) |
−0.565148 | + | 0.824990i | \(0.691181\pi\) | |||||||
\(398\) | 0.910596 | − | 12.1511i | 0.0456440 | − | 0.609077i | ||||
\(399\) | −13.8435 | − | 24.8182i | −0.693040 | − | 1.24247i | ||||
\(400\) | −3.32911 | − | 44.4239i | −0.166456 | − | 2.22120i | ||||
\(401\) | −4.82031 | − | 31.9807i | −0.240715 | − | 1.59704i | −0.703584 | − | 0.710613i | \(-0.748418\pi\) |
0.462869 | − | 0.886427i | \(-0.346820\pi\) | |||||||
\(402\) | 23.3641 | + | 25.2929i | 1.16530 | + | 1.26149i | ||||
\(403\) | −2.67594 | − | 0.403334i | −0.133298 | − | 0.0200915i | ||||
\(404\) | −2.62525 | + | 0.809782i | −0.130611 | + | 0.0402881i | ||||
\(405\) | 34.2655 | + | 0.304165i | 1.70267 | + | 0.0151141i | ||||
\(406\) | 0.704692 | + | 2.39087i | 0.0349733 | + | 0.118657i | ||||
\(407\) | 5.56553 | + | 36.9249i | 0.275873 | + | 1.83030i | ||||
\(408\) | −7.03042 | + | 1.58824i | −0.348057 | + | 0.0786296i | ||||
\(409\) | 26.4136 | + | 6.02872i | 1.30607 | + | 0.298101i | 0.818259 | − | 0.574850i | \(-0.194940\pi\) |
0.487808 | + | 0.872951i | \(0.337797\pi\) | |||||||
\(410\) | 64.5557i | 3.18818i | ||||||||
\(411\) | 12.2512 | − | 13.1450i | 0.604308 | − | 0.648397i | ||||
\(412\) | −9.69491 | + | 10.4486i | −0.477634 | + | 0.514767i | ||||
\(413\) | 9.35662 | + | 14.1013i | 0.460409 | + | 0.693880i | ||||
\(414\) | 30.2581 | − | 9.18651i | 1.48710 | − | 0.451492i | ||||
\(415\) | −30.5720 | + | 28.3667i | −1.50072 | + | 1.39247i | ||||
\(416\) | −1.37030 | + | 3.49147i | −0.0671845 | + | 0.171183i | ||||
\(417\) | −4.09803 | − | 0.316251i | −0.200681 | − | 0.0154869i | ||||
\(418\) | 14.4810 | − | 46.9464i | 0.708291 | − | 2.29622i | ||||
\(419\) | −16.4339 | + | 15.2484i | −0.802849 | + | 0.744935i | −0.970549 | − | 0.240903i | \(-0.922557\pi\) |
0.167700 | + | 0.985838i | \(0.446366\pi\) | |||||||
\(420\) | −18.7564 | + | 19.6243i | −0.915221 | + | 0.957569i | ||||
\(421\) | −7.39355 | − | 6.86022i | −0.360340 | − | 0.334346i | 0.479139 | − | 0.877739i | \(-0.340949\pi\) |
−0.839479 | + | 0.543393i | \(0.817139\pi\) | |||||||
\(422\) | 6.18933 | − | 3.57341i | 0.301292 | − | 0.173951i | ||||
\(423\) | 11.0350 | − | 7.45202i | 0.536541 | − | 0.362329i | ||||
\(424\) | 6.76122 | + | 6.27350i | 0.328354 | + | 0.304668i | ||||
\(425\) | 42.5112 | − | 20.4723i | 2.06210 | − | 0.993053i | ||||
\(426\) | 41.6726 | + | 28.5476i | 2.01904 | + | 1.38313i | ||||
\(427\) | 0.920343 | − | 10.5068i | 0.0445385 | − | 0.508460i | ||||
\(428\) | 0.327036 | − | 2.16975i | 0.0158079 | − | 0.104879i | ||||
\(429\) | −3.42560 | − | 1.65906i | −0.165390 | − | 0.0801001i | ||||
\(430\) | 3.43300 | − | 22.7765i | 0.165554 | − | 1.09838i | ||||
\(431\) | −17.0879 | − | 1.28056i | −0.823093 | − | 0.0616823i | −0.343477 | − | 0.939161i | \(-0.611605\pi\) |
−0.479616 | + | 0.877479i | \(0.659224\pi\) | |||||||
\(432\) | 24.3748 | + | 0.162274i | 1.17273 | + | 0.00780741i | ||||
\(433\) | 1.46725 | − | 3.04677i | 0.0705114 | − | 0.146418i | −0.862734 | − | 0.505658i | \(-0.831250\pi\) |
0.933245 | + | 0.359240i | \(0.116964\pi\) | |||||||
\(434\) | −22.1900 | − | 13.1861i | −1.06516 | − | 0.632954i | ||||
\(435\) | −0.978117 | + | 3.14617i | −0.0468971 | + | 0.150847i | ||||
\(436\) | −12.5972 | + | 8.58866i | −0.603299 | + | 0.411322i | ||||
\(437\) | −7.71348 | − | 33.7950i | −0.368986 | − | 1.61663i | ||||
\(438\) | 1.59275 | − | 1.98818i | 0.0761047 | − | 0.0949991i | ||||
\(439\) | 16.2766 | + | 12.9801i | 0.776839 | + | 0.619508i | 0.929522 | − | 0.368767i | \(-0.120220\pi\) |
−0.152683 | + | 0.988275i | \(0.548791\pi\) | |||||||
\(440\) | 13.3972 | 0.638687 | ||||||||
\(441\) | −20.9908 | − | 0.621141i | −0.999562 | − | 0.0295781i | ||||
\(442\) | −4.90061 | −0.233098 | ||||||||
\(443\) | 16.8945 | + | 13.4729i | 0.802682 | + | 0.640117i | 0.936413 | − | 0.350900i | \(-0.114124\pi\) |
−0.133731 | + | 0.991018i | \(0.542696\pi\) | |||||||
\(444\) | −8.70119 | − | 22.3158i | −0.412940 | − | 1.05906i | ||||
\(445\) | 4.14208 | + | 18.1476i | 0.196353 | + | 0.860281i | ||||
\(446\) | 36.4508 | − | 24.8517i | 1.72599 | − | 1.17676i | ||||
\(447\) | 7.24395 | − | 1.63648i | 0.342627 | − | 0.0774028i | ||||
\(448\) | −7.55036 | + | 7.93490i | −0.356721 | + | 0.374889i | ||||
\(449\) | 10.3723 | − | 21.5384i | 0.489501 | − | 1.01646i | −0.499190 | − | 0.866493i | \(-0.666369\pi\) |
0.988691 | − | 0.149967i | \(-0.0479168\pi\) | |||||||
\(450\) | −52.4283 | + | 11.7219i | −2.47149 | + | 0.552574i | ||||
\(451\) | −37.6701 | − | 2.82298i | −1.77381 | − | 0.132929i | ||||
\(452\) | 0.705627 | − | 4.68153i | 0.0331899 | − | 0.220201i | ||||
\(453\) | −20.1689 | + | 13.6855i | −0.947619 | + | 0.643000i | ||||
\(454\) | −2.84140 | + | 18.8514i | −0.133353 | + | 0.884741i | ||||
\(455\) | 4.39045 | − | 2.91319i | 0.205828 | − | 0.136572i | ||||
\(456\) | 0.692172 | − | 8.96926i | 0.0324139 | − | 0.420024i | ||||
\(457\) | 12.5064 | − | 6.02276i | 0.585024 | − | 0.281733i | −0.117868 | − | 0.993029i | \(-0.537606\pi\) |
0.702892 | + | 0.711296i | \(0.251892\pi\) | |||||||
\(458\) | 8.41880 | + | 7.81151i | 0.393385 | + | 0.365008i | ||||
\(459\) | 9.27191 | + | 24.0949i | 0.432776 | + | 1.12465i | ||||
\(460\) | −28.6764 | + | 16.5564i | −1.33705 | + | 0.771944i | ||||
\(461\) | −28.2312 | − | 26.1947i | −1.31486 | − | 1.22001i | −0.958309 | − | 0.285735i | \(-0.907762\pi\) |
−0.356550 | − | 0.934276i | \(-0.616047\pi\) | |||||||
\(462\) | −24.2972 | − | 26.9756i | −1.13041 | − | 1.25502i | ||||
\(463\) | −5.09587 | + | 4.72828i | −0.236825 | + | 0.219742i | −0.789653 | − | 0.613554i | \(-0.789739\pi\) |
0.552828 | + | 0.833296i | \(0.313549\pi\) | |||||||
\(464\) | −0.690803 | + | 2.23953i | −0.0320697 | + | 0.103967i | ||||
\(465\) | −14.7355 | − | 30.7730i | −0.683341 | − | 1.42706i | ||||
\(466\) | 5.40380 | − | 13.7687i | 0.250326 | − | 0.637820i | ||||
\(467\) | −7.75639 | + | 7.19687i | −0.358923 | + | 0.333032i | −0.838936 | − | 0.544229i | \(-0.816822\pi\) |
0.480014 | + | 0.877261i | \(0.340632\pi\) | |||||||
\(468\) | 2.37776 | + | 0.553822i | 0.109912 | + | 0.0256004i | ||||
\(469\) | −3.81009 | − | 27.6311i | −0.175934 | − | 1.27588i | ||||
\(470\) | −21.6751 | + | 23.3602i | −0.999798 | + | 1.07753i | ||||
\(471\) | 0.376746 | + | 1.23107i | 0.0173595 | + | 0.0567248i | ||||
\(472\) | 5.35714i | 0.246582i | ||||||||
\(473\) | 13.1406 | + | 2.99926i | 0.604205 | + | 0.137906i | ||||
\(474\) | −12.4791 | − | 13.5093i | −0.573185 | − | 0.620502i | ||||
\(475\) | 8.77727 | + | 58.2333i | 0.402729 | + | 2.67193i | ||||
\(476\) | −18.9432 | − | 7.71088i | −0.868261 | − | 0.353428i | ||||
\(477\) | 18.7318 | − | 27.2143i | 0.857672 | − | 1.24606i | ||||
\(478\) | 31.4928 | − | 9.71426i | 1.44045 | − | 0.444320i | ||||
\(479\) | 1.96795 | + | 0.296620i | 0.0899178 | + | 0.0135529i | 0.193847 | − | 0.981032i | \(-0.437903\pi\) |
−0.103929 | + | 0.994585i | \(0.533142\pi\) | |||||||
\(480\) | −46.1266 | + | 10.4205i | −2.10538 | + | 0.475627i | ||||
\(481\) | 0.692907 | + | 4.59714i | 0.0315938 | + | 0.209611i | ||||
\(482\) | 2.04637 | + | 27.3068i | 0.0932094 | + | 1.24379i | ||||
\(483\) | −24.3632 | − | 7.91154i | −1.10856 | − | 0.359988i | ||||
\(484\) | 0.773279 | − | 10.3187i | 0.0351490 | − | 0.469031i | ||||
\(485\) | 50.4745 | − | 3.78254i | 2.29193 | − | 0.171756i | ||||
\(486\) | −4.05834 | − | 29.1136i | −0.184090 | − | 1.32062i | ||||
\(487\) | −28.4001 | + | 19.3628i | −1.28693 | + | 0.877414i | −0.996828 | − | 0.0795821i | \(-0.974641\pi\) |
−0.290101 | + | 0.956996i | \(0.593689\pi\) | |||||||
\(488\) | 2.08167 | − | 2.61033i | 0.0942326 | − | 0.118164i | ||||
\(489\) | −1.75583 | − | 1.63644i | −0.0794016 | − | 0.0740024i | ||||
\(490\) | 49.2632 | − | 9.94796i | 2.22549 | − | 0.449403i | ||||
\(491\) | 2.91886 | − | 1.68521i | 0.131726 | − | 0.0760523i | −0.432689 | − | 0.901543i | \(-0.642435\pi\) |
0.564415 | + | 0.825491i | \(0.309102\pi\) | |||||||
\(492\) | 23.9676 | − | 3.55816i | 1.08054 | − | 0.160414i | ||||
\(493\) | −2.47535 | + | 0.185502i | −0.111484 | + | 0.00835459i | ||||
\(494\) | 1.80289 | − | 5.84481i | 0.0811157 | − | 0.262971i | ||||
\(495\) | −6.94161 | − | 47.4836i | −0.312002 | − | 2.13423i | ||||
\(496\) | −10.5304 | − | 21.8667i | −0.472830 | − | 0.981843i | ||||
\(497\) | −14.4692 | − | 38.2749i | −0.649032 | − | 1.71687i | ||||
\(498\) | 27.9211 | + | 22.3679i | 1.25118 | + | 1.00233i | ||||
\(499\) | 25.2538 | − | 3.80639i | 1.13051 | − | 0.170397i | 0.442967 | − | 0.896538i | \(-0.353926\pi\) |
0.687546 | + | 0.726140i | \(0.258688\pi\) | |||||||
\(500\) | 23.9987 | − | 11.5572i | 1.07325 | − | 0.516852i | ||||
\(501\) | 2.36742 | − | 0.351461i | 0.105769 | − | 0.0157021i | ||||
\(502\) | −27.1893 | − | 6.20577i | −1.21352 | − | 0.276977i | ||||
\(503\) | −21.3294 | + | 26.7463i | −0.951032 | + | 1.19256i | 0.0301646 | + | 0.999545i | \(0.490397\pi\) |
−0.981197 | + | 0.193011i | \(0.938175\pi\) | |||||||
\(504\) | −5.42809 | − | 3.83766i | −0.241786 | − | 0.170943i | ||||
\(505\) | 4.19179 | + | 5.25634i | 0.186532 | + | 0.233904i | ||||
\(506\) | −19.2142 | − | 39.8987i | −0.854174 | − | 1.77371i | ||||
\(507\) | 19.8386 | + | 9.60806i | 0.881063 | + | 0.426709i | ||||
\(508\) | −3.94635 | −0.175091 | ||||||||
\(509\) | −0.0821706 | + | 0.142324i | −0.00364215 | + | 0.00630839i | −0.867841 | − | 0.496842i | \(-0.834493\pi\) |
0.864199 | + | 0.503151i | \(0.167826\pi\) | |||||||
\(510\) | −34.6921 | − | 51.1274i | −1.53619 | − | 2.26396i | ||||
\(511\) | −1.97943 | + | 0.583425i | −0.0875650 | + | 0.0258092i | ||||
\(512\) | −25.1343 | + | 5.73674i | −1.11079 | + | 0.253530i | ||||
\(513\) | −32.1483 | + | 2.19406i | −1.41938 | + | 0.0968701i | ||||
\(514\) | 1.42211 | + | 9.43506i | 0.0627264 | + | 0.416162i | ||||
\(515\) | 32.4698 | + | 12.7435i | 1.43079 | + | 0.561544i | ||||
\(516\) | −8.64546 | − | 0.0191853i | −0.380595 | − | 0.000844587i | ||||
\(517\) | −12.6835 | − | 13.6696i | −0.557820 | − | 0.601187i | ||||
\(518\) | −10.4102 | + | 43.1049i | −0.457399 | + | 1.89392i | ||||
\(519\) | −2.23771 | − | 30.7765i | −0.0982247 | − | 1.35094i | ||||
\(520\) | 1.66795 | 0.0731444 | ||||||||
\(521\) | −13.6752 | + | 23.6862i | −0.599123 | + | 1.03771i | 0.393827 | + | 0.919184i | \(0.371151\pi\) |
−0.992951 | + | 0.118528i | \(0.962183\pi\) | |||||||
\(522\) | 2.79283 | + | 0.433637i | 0.122239 | + | 0.0189798i | ||||
\(523\) | −5.23338 | + | 7.67596i | −0.228840 | + | 0.335646i | −0.923435 | − | 0.383754i | \(-0.874631\pi\) |
0.694596 | + | 0.719400i | \(0.255583\pi\) | |||||||
\(524\) | −11.2403 | + | 1.69420i | −0.491035 | + | 0.0740116i | ||||
\(525\) | 40.2707 | + | 16.4966i | 1.75756 | + | 0.719969i | ||||
\(526\) | −46.0935 | − | 6.94748i | −2.00977 | − | 0.302924i | ||||
\(527\) | 17.4845 | − | 18.8438i | 0.761635 | − | 0.820848i | ||||
\(528\) | −5.01277 | − | 33.7658i | −0.218153 | − | 1.46947i | ||||
\(529\) | −6.81287 | − | 4.64494i | −0.296212 | − | 0.201954i | ||||
\(530\) | −28.8863 | + | 73.6012i | −1.25474 | + | 3.19703i | ||||
\(531\) | 18.9872 | − | 2.77574i | 0.823976 | − | 0.120457i | ||||
\(532\) | 16.1655 | − | 19.7562i | 0.700865 | − | 0.856541i | ||||
\(533\) | −4.68991 | − | 0.351460i | −0.203143 | − | 0.0152234i | ||||
\(534\) | 14.8770 | − | 5.80073i | 0.643791 | − | 0.251022i | ||||
\(535\) | −5.23508 | + | 1.19487i | −0.226332 | + | 0.0516589i | ||||
\(536\) | 3.83100 | − | 7.95516i | 0.165474 | − | 0.343611i | ||||
\(537\) | −2.07469 | + | 1.64699i | −0.0895296 | + | 0.0710730i | ||||
\(538\) | −12.8194 | − | 7.40128i | −0.552683 | − | 0.319092i | ||||
\(539\) | 3.65067 | + | 29.1815i | 0.157245 | + | 1.25694i | ||||
\(540\) | 11.0545 | + | 28.7274i | 0.475712 | + | 1.23623i | ||||
\(541\) | 25.0449 | + | 3.77492i | 1.07677 | + | 0.162296i | 0.663397 | − | 0.748267i | \(-0.269114\pi\) |
0.413369 | + | 0.910564i | \(0.364352\pi\) | |||||||
\(542\) | −0.0712231 | − | 0.950407i | −0.00305930 | − | 0.0408235i | ||||
\(543\) | −14.9609 | + | 8.59347i | −0.642034 | + | 0.368781i | ||||
\(544\) | −20.0702 | − | 29.4375i | −0.860502 | − | 1.26212i | ||||
\(545\) | 30.8276 | + | 21.0179i | 1.32051 | + | 0.900308i | ||||
\(546\) | −3.02499 | − | 3.35845i | −0.129458 | − | 0.143728i | ||||
\(547\) | −16.6641 | + | 11.3614i | −0.712506 | + | 0.485778i | −0.864519 | − | 0.502600i | \(-0.832377\pi\) |
0.152013 | + | 0.988378i | \(0.451424\pi\) | |||||||
\(548\) | 15.0252 | + | 5.89698i | 0.641847 | + | 0.251906i | ||||
\(549\) | −10.3303 | − | 6.02551i | −0.440888 | − | 0.257163i | ||||
\(550\) | 27.4864 | + | 70.0341i | 1.17202 | + | 2.98626i | ||||
\(551\) | 0.689414 | − | 3.02052i | 0.0293700 | − | 0.128678i | ||||
\(552\) | −5.04167 | − | 6.35091i | −0.214588 | − | 0.270313i | ||||
\(553\) | 2.03503 | + | 14.7582i | 0.0865382 | + | 0.627581i | ||||
\(554\) | −15.1813 | − | 5.95822i | −0.644992 | − | 0.253141i | ||||
\(555\) | −43.0561 | + | 39.7728i | −1.82763 | + | 1.68826i | ||||
\(556\) | −1.08826 | − | 3.52806i | −0.0461526 | − | 0.149623i | ||||
\(557\) | 9.21964 | + | 5.32296i | 0.390649 | + | 0.225541i | 0.682441 | − | 0.730941i | \(-0.260918\pi\) |
−0.291793 | + | 0.956482i | \(0.594252\pi\) | |||||||
\(558\) | −24.2556 | + | 16.3799i | −1.02682 | + | 0.693418i | ||||
\(559\) | 1.63600 | + | 0.373406i | 0.0691954 | + | 0.0157934i | ||||
\(560\) | 43.7681 | + | 17.8159i | 1.84954 | + | 0.752859i | ||||
\(561\) | 31.3514 | − | 18.0081i | 1.32366 | − | 0.760302i | ||||
\(562\) | 19.7631 | + | 6.09611i | 0.833656 | + | 0.257149i | ||||
\(563\) | −4.81038 | − | 6.03202i | −0.202733 | − | 0.254219i | 0.670063 | − | 0.742304i | \(-0.266267\pi\) |
−0.872796 | + | 0.488085i | \(0.837696\pi\) | |||||||
\(564\) | 9.86764 | + | 6.75977i | 0.415503 | + | 0.284638i | ||||
\(565\) | −11.2954 | + | 2.57811i | −0.475202 | + | 0.108462i | ||||
\(566\) | 5.94251 | + | 26.0358i | 0.249782 | + | 1.09437i | ||||
\(567\) | −10.7893 | + | 21.2271i | −0.453107 | + | 0.891456i | ||||
\(568\) | 2.88232 | − | 12.6283i | 0.120940 | − | 0.529871i | ||||
\(569\) | − | 11.1182i | − | 0.466098i | −0.972465 | − | 0.233049i | \(-0.925130\pi\) | ||
0.972465 | − | 0.233049i | \(-0.0748703\pi\) | |||||||
\(570\) | 73.7410 | − | 22.5670i | 3.08867 | − | 0.945228i | ||||
\(571\) | 9.66994 | − | 42.3668i | 0.404674 | − | 1.77299i | −0.203382 | − | 0.979100i | \(-0.565193\pi\) |
0.608056 | − | 0.793894i | \(-0.291950\pi\) | |||||||
\(572\) | 0.255503 | − | 3.40945i | 0.0106831 | − | 0.142556i | ||||
\(573\) | 3.35346 | − | 4.89524i | 0.140093 | − | 0.204502i | ||||
\(574\) | −40.1688 | − | 19.9702i | −1.67662 | − | 0.833542i | ||||
\(575\) | 41.5024 | + | 33.0970i | 1.73077 | + | 1.38024i | ||||
\(576\) | 4.48606 | + | 11.5812i | 0.186919 | + | 0.482548i | ||||
\(577\) | 41.3882 | − | 16.2437i | 1.72301 | − | 0.676233i | 0.723119 | − | 0.690724i | \(-0.242708\pi\) |
0.999895 | + | 0.0144906i | \(0.00461265\pi\) | |||||||
\(578\) | 8.16483 | − | 11.9756i | 0.339612 | − | 0.498120i | ||||
\(579\) | 12.7696 | + | 8.74774i | 0.530687 | + | 0.363544i | ||||
\(580\) | −2.95127 | + | 0.221167i | −0.122545 | + | 0.00918345i | ||||
\(581\) | −8.19334 | − | 27.7982i | −0.339917 | − | 1.15326i | ||||
\(582\) | −9.56786 | − | 42.3525i | −0.396601 | − | 1.75557i | ||||
\(583\) | −41.6852 | − | 20.0745i | −1.72642 | − | 0.831402i | ||||
\(584\) | −0.624231 | − | 0.192550i | −0.0258309 | − | 0.00796777i | ||||
\(585\) | −0.864228 | − | 5.91169i | −0.0357314 | − | 0.244418i | ||||
\(586\) | 1.61725 | − | 10.7298i | 0.0668081 | − | 0.443243i | ||||
\(587\) | −0.737985 | + | 1.27823i | −0.0304599 | + | 0.0527581i | −0.880854 | − | 0.473389i | \(-0.843031\pi\) |
0.850394 | + | 0.526147i | \(0.176364\pi\) | |||||||
\(588\) | −6.40867 | − | 17.7417i | −0.264289 | − | 0.731655i | ||||
\(589\) | 16.0420 | + | 27.7856i | 0.661001 | + | 1.14489i | ||||
\(590\) | −42.7491 | + | 16.7778i | −1.75995 | + | 0.690731i | ||||
\(591\) | −0.412289 | + | 2.69477i | −0.0169593 | + | 0.110848i | ||||
\(592\) | −30.5646 | + | 28.3598i | −1.25620 | + | 1.16558i | ||||
\(593\) | 3.22467 | + | 43.0303i | 0.132422 | + | 1.76704i | 0.528602 | + | 0.848870i | \(0.322716\pi\) |
−0.396181 | + | 0.918173i | \(0.629665\pi\) | |||||||
\(594\) | −39.4167 | + | 11.8717i | −1.61729 | + | 0.487100i | ||||
\(595\) | −0.629225 | + | 50.0467i | −0.0257957 | + | 2.05171i | ||||
\(596\) | 3.75791 | + | 5.51184i | 0.153930 | + | 0.225774i | ||||
\(597\) | 4.83376 | + | 10.0947i | 0.197833 | + | 0.413147i | ||||
\(598\) | −2.39216 | − | 4.96737i | −0.0978227 | − | 0.203131i | ||||
\(599\) | 28.8613 | + | 23.0161i | 1.17924 | + | 0.940412i | 0.999065 | − | 0.0432232i | \(-0.0137626\pi\) |
0.180174 | + | 0.983635i | \(0.442334\pi\) | |||||||
\(600\) | 7.73507 | + | 11.3995i | 0.315783 | + | 0.465384i | ||||
\(601\) | 10.7900 | − | 4.23475i | 0.440132 | − | 0.172739i | −0.134919 | − | 0.990857i | \(-0.543077\pi\) |
0.575051 | + | 0.818117i | \(0.304982\pi\) | |||||||
\(602\) | 13.1103 | + | 9.18202i | 0.534338 | + | 0.374231i | ||||
\(603\) | −30.1804 | − | 9.45630i | −1.22904 | − | 0.385090i | ||||
\(604\) | −18.0898 | − | 12.3334i | −0.736065 | − | 0.501841i | ||||
\(605\) | −24.1974 | + | 7.46391i | −0.983764 | + | 0.303451i | ||||
\(606\) | 3.93212 | − | 4.21900i | 0.159731 | − | 0.171385i | ||||
\(607\) | −15.8240 | − | 9.13599i | −0.642276 | − | 0.370818i | 0.143215 | − | 0.989692i | \(-0.454256\pi\) |
−0.785491 | + | 0.618873i | \(0.787589\pi\) | |||||||
\(608\) | 42.4929 | − | 13.1073i | 1.72331 | − | 0.531572i | ||||
\(609\) | −1.65508 | − | 1.58188i | −0.0670673 | − | 0.0641012i | ||||
\(610\) | 27.3495 | + | 8.43619i | 1.10735 | + | 0.341572i | ||||
\(611\) | −1.57909 | − | 1.70186i | −0.0638832 | − | 0.0688497i | ||||
\(612\) | −17.0700 | + | 15.6982i | −0.690013 | + | 0.634563i | ||||
\(613\) | 22.7022 | − | 3.42181i | 0.916934 | − | 0.138206i | 0.326413 | − | 0.945227i | \(-0.394160\pi\) |
0.590522 | + | 0.807022i | \(0.298922\pi\) | |||||||
\(614\) | −3.67829 | − | 16.1156i | −0.148444 | − | 0.650375i | ||||
\(615\) | −29.5338 | − | 51.4173i | −1.19092 | − | 2.07334i | ||||
\(616\) | −4.14442 | + | 8.33623i | −0.166983 | + | 0.335876i | ||||
\(617\) | 12.6206 | + | 40.9151i | 0.508088 | + | 1.64718i | 0.738624 | + | 0.674118i | \(0.235476\pi\) |
−0.230536 | + | 0.973064i | \(0.574048\pi\) | |||||||
\(618\) | 6.72297 | − | 29.1568i | 0.270437 | − | 1.17286i | ||||
\(619\) | 34.8340 | − | 20.1114i | 1.40010 | − | 0.808346i | 0.405694 | − | 0.914009i | \(-0.367030\pi\) |
0.994402 | + | 0.105663i | \(0.0336965\pi\) | |||||||
\(620\) | 20.8461 | − | 22.4667i | 0.837198 | − | 0.902285i | ||||
\(621\) | −19.8972 | + | 21.1598i | −0.798446 | + | 0.849112i | ||||
\(622\) | −9.50939 | + | 7.58349i | −0.381292 | + | 0.304070i | ||||
\(623\) | −12.5735 | − | 3.03661i | −0.503745 | − | 0.121659i | ||||
\(624\) | −0.624088 | − | 4.20383i | −0.0249835 | − | 0.168288i | ||||
\(625\) | −12.9761 | − | 12.0400i | −0.519043 | − | 0.481602i | ||||
\(626\) | −11.5002 | + | 14.4208i | −0.459641 | + | 0.576372i | ||||
\(627\) | 9.94384 | + | 44.0168i | 0.397119 | + | 1.75786i | ||||
\(628\) | −0.904158 | + | 0.721042i | −0.0360798 | + | 0.0287727i | ||||
\(629\) | −39.7881 | − | 19.1610i | −1.58646 | − | 0.763997i | ||||
\(630\) | 13.6239 | − | 55.3343i | 0.542790 | − | 2.20457i | ||||
\(631\) | 5.34325 | − | 2.57318i | 0.212712 | − | 0.102437i | −0.324494 | − | 0.945888i | \(-0.605194\pi\) |
0.537206 | + | 0.843451i | \(0.319480\pi\) | |||||||
\(632\) | −2.04620 | + | 4.24897i | −0.0813933 | + | 0.169015i | ||||
\(633\) | −3.29486 | + | 5.67773i | −0.130959 | + | 0.225670i | ||||
\(634\) | −10.4365 | − | 5.02598i | −0.414488 | − | 0.199607i | ||||
\(635\) | 3.52824 | + | 8.98980i | 0.140014 | + | 0.356750i | ||||
\(636\) | 28.9181 | + | 6.66792i | 1.14668 | + | 0.264400i | ||||
\(637\) | 0.454507 | + | 3.63309i | 0.0180082 | + | 0.143948i | ||||
\(638\) | − | 3.95802i | − | 0.156700i | ||||||
\(639\) | −46.2517 | − | 3.67259i | −1.82969 | − | 0.145285i | ||||
\(640\) | 14.0163 | + | 20.5582i | 0.554044 | + | 0.812634i | ||||
\(641\) | −27.9812 | − | 30.1566i | −1.10519 | − | 1.19111i | −0.980003 | − | 0.198982i | \(-0.936237\pi\) |
−0.125189 | − | 0.992133i | \(-0.539954\pi\) | |||||||
\(642\) | 1.67335 | + | 4.29160i | 0.0660417 | + | 0.169376i | ||||
\(643\) | 11.5929 | − | 17.0036i | 0.457178 | − | 0.670557i | −0.526566 | − | 0.850134i | \(-0.676521\pi\) |
0.983744 | + | 0.179577i | \(0.0574730\pi\) | |||||||
\(644\) | −1.43092 | − | 22.9652i | −0.0563861 | − | 0.904956i | ||||
\(645\) | 7.68578 | + | 19.7116i | 0.302627 | + | 0.776142i | ||||
\(646\) | 36.2255 | + | 45.4253i | 1.42527 | + | 1.78724i | ||||
\(647\) | −0.661331 | + | 8.82484i | −0.0259996 | + | 0.346940i | 0.969000 | + | 0.247061i | \(0.0794648\pi\) |
−0.995000 | + | 0.0998795i | \(0.968154\pi\) | |||||||
\(648\) | −6.56110 | + | 3.71079i | −0.257744 | + | 0.145774i | ||||
\(649\) | −7.92093 | − | 25.6790i | −0.310924 | − | 1.00799i | ||||
\(650\) | 3.42204 | + | 8.71922i | 0.134224 | + | 0.341996i | ||||
\(651\) | 23.7065 | + | 0.350673i | 0.929130 | + | 0.0137440i | ||||
\(652\) | 0.787682 | − | 2.00698i | 0.0308480 | − | 0.0785994i | ||||
\(653\) | −4.21065 | − | 0.315545i | −0.164775 | − | 0.0123482i | −0.00791311 | − | 0.999969i | \(-0.502519\pi\) |
−0.156862 | + | 0.987620i | \(0.550138\pi\) | |||||||
\(654\) | 13.9509 | − | 28.8057i | 0.545525 | − | 1.12639i | ||||
\(655\) | 13.9088 | + | 24.0908i | 0.543463 | + | 0.941305i | ||||
\(656\) | −21.0896 | − | 36.5283i | −0.823411 | − | 1.42619i | ||||
\(657\) | −0.359014 | + | 2.31222i | −0.0140065 | + | 0.0902084i | ||||
\(658\) | −7.83038 | − | 20.7135i | −0.305260 | − | 0.807495i | ||||
\(659\) | 11.5297 | − | 37.3783i | 0.449132 | − | 1.45605i | −0.394384 | − | 0.918946i | \(-0.629042\pi\) |
0.843516 | − | 0.537104i | \(-0.180482\pi\) | |||||||
\(660\) | 37.3790 | − | 21.4703i | 1.45498 | − | 0.835732i | ||||
\(661\) | −0.761629 | + | 0.607379i | −0.0296239 | + | 0.0236243i | −0.638190 | − | 0.769879i | \(-0.720317\pi\) |
0.608566 | + | 0.793503i | \(0.291745\pi\) | |||||||
\(662\) | −1.84619 | + | 1.47229i | −0.0717544 | + | 0.0572222i | ||||
\(663\) | 3.90324 | − | 2.24200i | 0.151589 | − | 0.0870721i | ||||
\(664\) | 2.70408 | − | 8.76641i | 0.104939 | − | 0.340203i | ||||
\(665\) | −59.4577 | − | 19.1621i | −2.30567 | − | 0.743075i | ||||
\(666\) | 39.1721 | + | 31.5242i | 1.51789 | + | 1.22154i | ||||
\(667\) | −1.39633 | − | 2.41852i | −0.0540662 | − | 0.0936455i | ||||
\(668\) | 1.07495 | + | 1.86186i | 0.0415910 | + | 0.0720377i | ||||
\(669\) | −17.6628 | + | 36.4699i | −0.682882 | + | 1.41001i | ||||
\(670\) | 75.4791 | + | 5.65637i | 2.91601 | + | 0.218525i | ||||
\(671\) | −6.11874 | + | 15.5903i | −0.236211 | + | 0.601856i | ||||
\(672\) | 7.78525 | − | 31.9252i | 0.300322 | − | 1.23154i | ||||
\(673\) | −0.502139 | − | 1.27943i | −0.0193561 | − | 0.0493184i | 0.920869 | − | 0.389872i | \(-0.127481\pi\) |
−0.940225 | + | 0.340554i | \(0.889386\pi\) | |||||||
\(674\) | 4.53439 | + | 14.7001i | 0.174658 | + | 0.566228i | ||||
\(675\) | 36.3954 | − | 33.3219i | 1.40086 | − | 1.28256i | ||||
\(676\) | −1.47969 | + | 19.7450i | −0.0569110 | + | 0.759424i | ||||
\(677\) | −28.6911 | − | 35.9775i | −1.10269 | − | 1.38273i | −0.916415 | − | 0.400230i | \(-0.868930\pi\) |
−0.186274 | − | 0.982498i | \(-0.559641\pi\) | |||||||
\(678\) | 3.61048 | + | 9.25972i | 0.138660 | + | 0.355617i | ||||
\(679\) | −13.2606 | + | 32.5771i | −0.508895 | + | 1.25020i | ||||
\(680\) | −8.92517 | + | 13.0908i | −0.342265 | + | 0.502010i | ||||
\(681\) | −6.36130 | − | 16.3147i | −0.243766 | − | 0.625180i | ||||
\(682\) | 27.8790 | + | 30.0464i | 1.06754 | + | 1.15054i | ||||
\(683\) | −1.06270 | − | 1.55870i | −0.0406632 | − | 0.0596419i | 0.805369 | − | 0.592774i | \(-0.201967\pi\) |
−0.846032 | + | 0.533132i | \(0.821015\pi\) | |||||||
\(684\) | −12.4429 | − | 26.1341i | −0.475767 | − | 0.999261i | ||||
\(685\) | − | 39.4998i | − | 1.50921i | ||||||
\(686\) | −9.04956 | + | 33.7307i | −0.345514 | + | 1.28785i | ||||
\(687\) | −10.2791 | − | 2.37015i | −0.392173 | − | 0.0904270i | ||||
\(688\) | 5.49829 | + | 14.0094i | 0.209620 | + | 0.534104i | ||||
\(689\) | −5.18979 | − | 2.49927i | −0.197715 | − | 0.0952147i | ||||
\(690\) | 34.8895 | − | 60.1218i | 1.32822 | − | 2.28880i | ||||
\(691\) | 15.9300 | − | 33.0789i | 0.606005 | − | 1.25838i | −0.341873 | − | 0.939746i | \(-0.611061\pi\) |
0.947877 | − | 0.318635i | \(-0.103224\pi\) | |||||||
\(692\) | 24.9736 | − | 12.0267i | 0.949355 | − | 0.457185i | ||||
\(693\) | 31.6934 | + | 10.3697i | 1.20393 | + | 0.393912i | ||||
\(694\) | −57.9424 | − | 27.9036i | −2.19946 | − | 1.05920i | ||||
\(695\) | −7.06397 | + | 5.63333i | −0.267952 | + | 0.213684i | ||||
\(696\) | −0.159703 | − | 0.706931i | −0.00605352 | − | 0.0267961i | ||||
\(697\) | 27.8541 | − | 34.9279i | 1.05505 | − | 1.32299i | ||||
\(698\) | 39.3069 | + | 36.4715i | 1.48779 | + | 1.38047i | ||||
\(699\) | 1.99506 | + | 13.4386i | 0.0754601 | + | 0.508296i | ||||
\(700\) | −0.491449 | + | 39.0884i | −0.0185750 | + | 1.47740i | ||||
\(701\) | 13.1075 | − | 10.4529i | 0.495062 | − | 0.394799i | −0.343885 | − | 0.939012i | \(-0.611743\pi\) |
0.838947 | + | 0.544213i | \(0.183172\pi\) | |||||||
\(702\) | −4.90737 | + | 1.47802i | −0.185217 | + | 0.0557842i | ||||
\(703\) | 37.4903 | − | 40.4050i | 1.41397 | − | 1.52390i | ||||
\(704\) | 15.0626 | − | 8.69642i | 0.567695 | − | 0.327759i | ||||
\(705\) | 6.57662 | − | 28.5221i | 0.247690 | − | 1.07421i | ||||
\(706\) | −3.01389 | − | 9.77080i | −0.113429 | − | 0.367729i | ||||
\(707\) | −4.56741 | + | 0.982238i | −0.171775 | + | 0.0369409i | ||||
\(708\) | 8.58534 | + | 14.9467i | 0.322657 | + | 0.561733i | ||||
\(709\) | −4.90669 | − | 21.4976i | −0.184275 | − | 0.807360i | −0.979564 | − | 0.201131i | \(-0.935538\pi\) |
0.795290 | − | 0.606229i | \(-0.207319\pi\) | |||||||
\(710\) | 109.799 | − | 16.5495i | 4.12067 | − | 0.621091i | ||||
\(711\) | 16.1198 | + | 5.05075i | 0.604539 | + | 0.189418i | ||||
\(712\) | −2.78507 | − | 3.00159i | −0.104375 | − | 0.112489i | ||||
\(713\) | 27.6352 | + | 8.52434i | 1.03495 | + | 0.319239i | ||||
\(714\) | 42.5453 | − | 5.77046i | 1.59222 | − | 0.215954i | ||||
\(715\) | −7.99518 | + | 2.46618i | −0.299003 | + | 0.0922301i | ||||
\(716\) | −2.06069 | − | 1.18974i | −0.0770115 | − | 0.0444626i | ||||
\(717\) | −20.6392 | + | 22.1450i | −0.770785 | + | 0.827020i | ||||
\(718\) | −25.5715 | + | 7.88775i | −0.954318 | + | 0.294368i | ||||
\(719\) | −37.0074 | − | 25.2312i | −1.38014 | − | 0.940966i | −0.999871 | − | 0.0160911i | \(-0.994878\pi\) |
−0.380273 | − | 0.924874i | \(-0.624170\pi\) | |||||||
\(720\) | 39.4400 | − | 36.2705i | 1.46984 | − | 1.35172i | ||||
\(721\) | −17.9739 | + | 16.2617i | −0.669384 | + | 0.605617i | ||||
\(722\) | −34.1529 | + | 13.4040i | −1.27104 | + | 0.498845i | ||||
\(723\) | −14.1226 | − | 20.8131i | −0.525225 | − | 0.774049i | ||||
\(724\) | −12.1169 | − | 9.66293i | −0.450322 | − | 0.359120i | ||||
\(725\) | 2.05856 | + | 4.27464i | 0.0764529 | + | 0.158756i | ||||
\(726\) | 9.38148 | + | 19.5920i | 0.348180 | + | 0.727126i | ||||
\(727\) | −11.5301 | − | 16.9116i | −0.427629 | − | 0.627217i | 0.550594 | − | 0.834773i | \(-0.314401\pi\) |
−0.978223 | + | 0.207557i | \(0.933449\pi\) | |||||||
\(728\) | −0.515979 | + | 1.03786i | −0.0191234 | + | 0.0384656i | ||||
\(729\) | 16.5517 | + | 21.3317i | 0.613025 | + | 0.790064i | ||||
\(730\) | −0.418486 | − | 5.58430i | −0.0154889 | − | 0.206684i | ||||
\(731\) | −11.6849 | + | 10.8420i | −0.432181 | + | 0.401005i | ||||
\(732\) | 1.62467 | − | 10.6190i | 0.0600496 | − | 0.392491i | ||||
\(733\) | −5.20708 | + | 2.04363i | −0.192328 | + | 0.0754831i | −0.459550 | − | 0.888152i | \(-0.651989\pi\) |
0.267222 | + | 0.963635i | \(0.413894\pi\) | |||||||
\(734\) | −15.9713 | − | 27.6631i | −0.589511 | − | 1.02106i | ||||
\(735\) | −34.6860 | + | 30.4610i | −1.27941 | + | 1.12357i | ||||
\(736\) | 20.0416 | − | 34.7131i | 0.738743 | − | 1.27954i | ||||
\(737\) | −6.60131 | + | 43.7968i | −0.243162 | + | 1.61328i | ||||
\(738\) | −39.9086 | + | 31.5373i | −1.46906 | + | 1.16091i | ||||
\(739\) | −7.22921 | − | 2.22992i | −0.265931 | − | 0.0820288i | 0.158922 | − | 0.987291i | \(-0.449198\pi\) |
−0.424853 | + | 0.905262i | \(0.639674\pi\) | |||||||
\(740\) | −47.4379 | − | 22.8449i | −1.74385 | − | 0.839794i | ||||
\(741\) | 1.23800 | + | 5.48008i | 0.0454792 | + | 0.201316i | ||||
\(742\) | −36.8613 | − | 40.7426i | −1.35322 | − | 1.49571i | ||||
\(743\) | 47.2385 | − | 3.54003i | 1.73301 | − | 0.129871i | 0.829519 | − | 0.558478i | \(-0.188614\pi\) |
0.903491 | + | 0.428607i | \(0.140995\pi\) | |||||||
\(744\) | 6.19174 | + | 4.24162i | 0.227000 | + | 0.155505i | ||||
\(745\) | 9.19624 | − | 13.4884i | 0.336924 | − | 0.494177i | ||||
\(746\) | −39.2496 | + | 15.4043i | −1.43703 | + | 0.563993i | ||||
\(747\) | −32.4718 | − | 5.04182i | −1.18808 | − | 0.184471i | ||||
\(748\) | 25.3917 | + | 20.2492i | 0.928412 | + | 0.740384i | ||||
\(749\) | 0.875975 | − | 3.62709i | 0.0320074 | − | 0.132531i | ||||
\(750\) | −31.6015 | + | 46.1306i | −1.15392 | + | 1.68445i | ||||
\(751\) | −1.06227 | + | 14.1750i | −0.0387627 | + | 0.517252i | 0.943701 | + | 0.330799i | \(0.107318\pi\) |
−0.982464 | + | 0.186453i | \(0.940301\pi\) | |||||||
\(752\) | 4.63316 | − | 20.2992i | 0.168954 | − | 0.740235i | ||||
\(753\) | 24.4948 | − | 7.49616i | 0.892640 | − | 0.273175i | ||||
\(754\) | − | 0.492772i | − | 0.0179457i | ||||||
\(755\) | −11.9224 | + | 52.2355i | −0.433901 | + | 1.90104i | ||||
\(756\) | −21.2949 | − | 2.00827i | −0.774489 | − | 0.0730400i | ||||
\(757\) | 7.85378 | + | 34.4097i | 0.285451 | + | 1.25064i | 0.890695 | + | 0.454601i | \(0.150218\pi\) |
−0.605245 | + | 0.796040i | \(0.706925\pi\) | |||||||
\(758\) | −66.8698 | + | 15.2626i | −2.42882 | + | 0.554363i | ||||
\(759\) | 33.5571 | + | 22.9881i | 1.21805 | + | 0.834415i | ||||
\(760\) | −12.3295 | − | 15.4608i | −0.447239 | − | 0.560820i | ||||
\(761\) | 22.1479 | + | 6.83174i | 0.802862 | + | 0.247650i | 0.668916 | − | 0.743338i | \(-0.266759\pi\) |
0.133947 | + | 0.990989i | \(0.457235\pi\) | |||||||
\(762\) | 7.18365 | − | 4.12626i | 0.260236 | − | 0.149479i | ||||
\(763\) | −22.6146 | + | 12.6802i | −0.818703 | + | 0.459053i | ||||
\(764\) | 5.19645 | + | 1.18606i | 0.188001 | + | 0.0429100i | ||||
\(765\) | 51.0221 | + | 24.8505i | 1.84471 | + | 0.898472i | ||||
\(766\) | 18.2316 | + | 10.5260i | 0.658733 | + | 0.380320i | ||||
\(767\) | −0.986153 | − | 3.19703i | −0.0356079 | − | 0.115438i | ||||
\(768\) | 26.2129 | − | 24.2140i | 0.945876 | − | 0.873747i | ||||
\(769\) | −0.742608 | − | 0.291452i | −0.0267791 | − | 0.0105100i | 0.351914 | − | 0.936032i | \(-0.385531\pi\) |
−0.378693 | + | 0.925522i | \(0.623626\pi\) | |||||||
\(770\) | −79.5014 | − | 6.96392i | −2.86503 | − | 0.250962i | ||||
\(771\) | −5.44916 | − | 6.86422i | −0.196247 | − | 0.247209i | ||||
\(772\) | −3.09392 | + | 13.5553i | −0.111353 | + | 0.487867i | ||||
\(773\) | −2.54100 | − | 6.47437i | −0.0913935 | − | 0.232867i | 0.877867 | − | 0.478905i | \(-0.158966\pi\) |
−0.969260 | + | 0.246038i | \(0.920871\pi\) | |||||||
\(774\) | 15.7577 | − | 9.00467i | 0.566397 | − | 0.323666i | ||||
\(775\) | −45.7362 | − | 17.9502i | −1.64289 | − | 0.644788i | ||||
\(776\) | −9.19945 | + | 6.27208i | −0.330241 | + | 0.225155i | ||||
\(777\) | −11.4287 | − | 39.0947i | −0.410002 | − | 1.40252i | ||||
\(778\) | 39.1837 | + | 26.7150i | 1.40480 | + | 0.957778i | ||||
\(779\) | 31.4102 | + | 46.0703i | 1.12539 | + | 1.65064i | ||||
\(780\) | 4.65368 | − | 2.67305i | 0.166628 | − | 0.0957106i | ||||
\(781\) | 4.85567 | + | 64.7944i | 0.173749 | + | 2.31852i | ||||
\(782\) | 51.7865 | + | 7.80557i | 1.85188 | + | 0.279126i | ||||
\(783\) | −2.42282 | + | 0.932320i | −0.0865844 | + | 0.0333184i | ||||
\(784\) | −24.6253 | + | 21.7227i | −0.879475 | + | 0.775811i | ||||
\(785\) | 2.45090 | + | 1.41503i | 0.0874764 | + | 0.0505045i | ||||
\(786\) | 18.6896 | − | 14.8368i | 0.666637 | − | 0.529209i | ||||
\(787\) | 0.711258 | − | 1.47694i | 0.0253536 | − | 0.0526473i | −0.887907 | − | 0.460022i | \(-0.847841\pi\) |
0.913261 | + | 0.407375i | \(0.133556\pi\) | |||||||
\(788\) | −2.38740 | + | 0.544909i | −0.0850476 | + | 0.0194116i | ||||
\(789\) | 39.8909 | − | 15.5540i | 1.42016 | − | 0.553736i | ||||
\(790\) | −40.3145 | − | 3.02115i | −1.43432 | − | 0.107488i | ||||
\(791\) | 1.89004 | − | 7.82595i | 0.0672020 | − | 0.278259i | ||||
\(792\) | 6.54493 | + | 8.28223i | 0.232564 | + | 0.294296i | ||||
\(793\) | −0.761781 | + | 1.94099i | −0.0270516 | + | 0.0689264i | ||||
\(794\) | 38.8182 | + | 26.4658i | 1.37761 | + | 0.939235i | ||||
\(795\) | −10.6647 | − | 71.8371i | −0.378239 | − | 2.54780i | ||||
\(796\) | −6.83826 | + | 7.36989i | −0.242376 | + | 0.261219i | ||||
\(797\) | −22.6529 | − | 3.41438i | −0.802407 | − | 0.120943i | −0.264980 | − | 0.964254i | \(-0.585365\pi\) |
−0.537427 | + | 0.843310i | \(0.680604\pi\) | |||||||
\(798\) | −8.76973 | + | 52.8654i | −0.310445 | + | 1.87141i | ||||
\(799\) | 21.8066 | − | 3.28682i | 0.771463 | − | 0.116279i | ||||
\(800\) | −38.3608 | + | 56.2650i | −1.35626 | + | 1.98927i | ||||
\(801\) | −9.19543 | + | 11.4263i | −0.324905 | + | 0.403729i | ||||
\(802\) | −30.4935 | + | 52.8163i | −1.07676 | + | 1.86501i | ||||
\(803\) | 3.27690 | 0.115639 | ||||||||
\(804\) | −2.06019 | − | 28.3349i | −0.0726573 | − | 0.999296i | ||||
\(805\) | −51.0356 | + | 23.7917i | −1.79877 | + | 0.838548i | ||||
\(806\) | 3.47093 | + | 3.74077i | 0.122258 | + | 0.131763i | ||||
\(807\) | 13.5964 | + | 0.0301721i | 0.478617 | + | 0.00106211i | ||||
\(808\) | −1.37667 | − | 0.540303i | −0.0484311 | − | 0.0190078i | ||||
\(809\) | 5.12323 | + | 33.9904i | 0.180123 | + | 1.19504i | 0.877943 | + | 0.478766i | \(0.158916\pi\) |
−0.697820 | + | 0.716274i | \(0.745846\pi\) | |||||||
\(810\) | −50.1599 | − | 40.7348i | −1.76244 | − | 1.43128i | ||||
\(811\) | −12.7137 | + | 2.90183i | −0.446440 | + | 0.101897i | −0.439830 | − | 0.898081i | \(-0.644961\pi\) |
−0.00661015 | + | 0.999978i | \(0.502104\pi\) | |||||||
\(812\) | 0.775354 | − | 1.90480i | 0.0272096 | − | 0.0668454i | ||||
\(813\) | 0.491533 | + | 0.724395i | 0.0172388 | + | 0.0254056i | ||||
\(814\) | 35.2078 | − | 60.9817i | 1.23403 | − | 2.13741i | ||||
\(815\) | −5.27614 | −0.184815 | ||||||||
\(816\) | 36.3330 | + | 17.5965i | 1.27191 | + | 0.616001i | ||||
\(817\) | −8.63215 | − | 17.9248i | −0.302001 | − | 0.627111i | ||||
\(818\) | −31.8534 | − | 39.9429i | −1.11373 | − | 1.39657i | ||||
\(819\) | 3.94581 | + | 1.29102i | 0.137878 | + | 0.0451120i | ||||
\(820\) | 33.2093 | − | 41.6432i | 1.15972 | − | 1.45424i | ||||
\(821\) | 4.47766 | + | 1.02200i | 0.156271 | + | 0.0356679i | 0.299941 | − | 0.953958i | \(-0.403033\pi\) |
−0.143669 | + | 0.989626i | \(0.545890\pi\) | |||||||
\(822\) | −33.5167 | + | 4.97579i | −1.16903 | + | 0.173551i | ||||
\(823\) | −35.5131 | + | 17.1022i | −1.23791 | + | 0.596146i | −0.934244 | − | 0.356633i | \(-0.883925\pi\) |
−0.303665 | + | 0.952779i | \(0.598210\pi\) | |||||||
\(824\) | −7.58716 | + | 1.14358i | −0.264311 | + | 0.0398385i | ||||
\(825\) | −53.9325 | − | 43.2059i | −1.87769 | − | 1.50424i | ||||
\(826\) | 2.78466 | − | 31.7902i | 0.0968908 | − | 1.10612i | ||||
\(827\) | −11.5093 | − | 23.8994i | −0.400219 | − | 0.831062i | −0.999533 | − | 0.0305489i | \(-0.990274\pi\) |
0.599315 | − | 0.800514i | \(-0.295440\pi\) | |||||||
\(828\) | −24.2445 | − | 9.63966i | −0.842555 | − | 0.335001i | ||||
\(829\) | −8.47705 | + | 27.4819i | −0.294420 | + | 0.954487i | 0.680654 | + | 0.732605i | \(0.261696\pi\) |
−0.975074 | + | 0.221881i | \(0.928780\pi\) | |||||||
\(830\) | 78.4233 | − | 5.87702i | 2.72211 | − | 0.203994i | ||||
\(831\) | 14.8174 | − | 2.19975i | 0.514012 | − | 0.0763086i | ||||
\(832\) | 1.87529 | − | 1.08270i | 0.0650141 | − | 0.0375359i | ||||
\(833\) | −30.9462 | − | 15.8734i | −1.07222 | − | 0.549981i | ||||
\(834\) | 5.66989 | + | 5.28435i | 0.196332 | + | 0.182982i | ||||
\(835\) | 3.28028 | − | 4.11334i | 0.113519 | − | 0.142348i | ||||
\(836\) | −33.4919 | + | 22.8344i | −1.15834 | + | 0.789745i | ||||
\(837\) | 11.8253 | − | 24.1431i | 0.408743 | − | 0.834506i | ||||
\(838\) | 42.1563 | − | 3.15918i | 1.45626 | − | 0.109132i | ||||
\(839\) | −1.87506 | + | 25.0209i | −0.0647343 | + | 0.863819i | 0.866449 | + | 0.499266i | \(0.166397\pi\) |
−0.931183 | + | 0.364552i | \(0.881222\pi\) | |||||||
\(840\) | −14.4805 | + | 1.96401i | −0.499625 | + | 0.0677647i | ||||
\(841\) | 2.14852 | + | 28.6700i | 0.0740869 | + | 0.988621i | ||||
\(842\) | 2.83465 | + | 18.8067i | 0.0976886 | + | 0.648121i | ||||
\(843\) | −18.5298 | + | 4.18607i | −0.638202 | + | 0.144176i | ||||
\(844\) | −5.83084 | − | 0.878858i | −0.200706 | − | 0.0302515i | ||||
\(845\) | 46.3022 | − | 14.2823i | 1.59284 | − | 0.491327i | ||||
\(846\) | −25.0303 | − | 1.98751i | −0.860560 | − | 0.0683322i | ||||
\(847\) | 2.84113 | − | 17.3654i | 0.0976225 | − | 0.596683i | ||||
\(848\) | −7.69959 | − | 51.0835i | −0.264405 | − | 1.75421i | ||||
\(849\) | −16.6443 | − | 18.0183i | −0.571232 | − | 0.618388i | ||||
\(850\) | −86.7437 | − | 19.7987i | −2.97528 | − | 0.679089i | ||||
\(851\) | − | 49.6833i | − | 1.70312i | ||||||
\(852\) | −12.1962 | − | 39.8529i | −0.417835 | − | 1.36534i | ||||
\(853\) | 37.1545 | − | 40.0430i | 1.27215 | − | 1.37105i | 0.376414 | − | 0.926452i | \(-0.377157\pi\) |
0.895732 | − | 0.444595i | \(-0.146653\pi\) | |||||||
\(854\) | −13.7098 | + | 14.4081i | −0.469141 | + | 0.493035i | ||||
\(855\) | −48.4089 | + | 51.7102i | −1.65555 | + | 1.76845i | ||||
\(856\) | 0.865873 | − | 0.803413i | 0.0295949 | − | 0.0274601i | ||||
\(857\) | 16.5889 | − | 42.2678i | 0.566666 | − | 1.44384i | −0.304337 | − | 0.952564i | \(-0.598435\pi\) |
0.871003 | − | 0.491277i | \(-0.163470\pi\) | |||||||
\(858\) | 3.09978 | + | 6.47347i | 0.105825 | + | 0.221001i | ||||
\(859\) | 0.161481 | − | 0.523509i | 0.00550966 | − | 0.0178619i | −0.952776 | − | 0.303673i | \(-0.901787\pi\) |
0.958286 | + | 0.285811i | \(0.0922631\pi\) | |||||||
\(860\) | −13.9314 | + | 12.9265i | −0.475058 | + | 0.440789i | ||||
\(861\) | 41.1299 | − | 2.47112i | 1.40170 | − | 0.0842154i | ||||
\(862\) | 23.6870 | + | 21.9783i | 0.806783 | + | 0.748585i | ||||
\(863\) | 41.9147 | − | 24.1995i | 1.42679 | − | 0.823759i | 0.429926 | − | 0.902864i | \(-0.358540\pi\) |
0.996866 | + | 0.0791050i | \(0.0252062\pi\) | |||||||
\(864\) | −28.9762 | − | 23.4250i | −0.985789 | − | 0.796935i | ||||
\(865\) | −49.7245 | − | 46.1376i | −1.69069 | − | 1.56873i | ||||
\(866\) | −5.74528 | + | 2.76678i | −0.195233 | + | 0.0940191i | ||||
\(867\) | −1.02435 | + | 13.2737i | −0.0347888 | + | 0.450798i | ||||
\(868\) | 7.53088 | + | 19.9212i | 0.255615 | + | 0.676170i | ||||
\(869\) | 3.52586 | − | 23.3925i | 0.119606 | − | 0.793537i | ||||
\(870\) | 5.14103 | − | 3.48841i | 0.174297 | − | 0.118268i | ||||
\(871\) | −0.821861 | + | 5.45269i | −0.0278477 | + | 0.184757i | ||||
\(872\) | −8.18440 | − | 0.613336i | −0.277159 | − | 0.0207702i | ||||
\(873\) | 26.9966 | + | 29.3557i | 0.913698 | + | 0.993539i | ||||
\(874\) | −28.3612 | + | 58.8926i | −0.959332 | + | 1.99207i | ||||
\(875\) | 42.3694 | − | 16.0170i | 1.43235 | − | 0.541475i | ||||
\(876\) | −2.05022 | + | 0.463166i | −0.0692706 | + | 0.0156489i | ||||
\(877\) | 5.64453 | − | 3.84838i | 0.190602 | − | 0.129950i | −0.464259 | − | 0.885699i | \(-0.653679\pi\) |
0.654861 | + | 0.755749i | \(0.272727\pi\) | |||||||
\(878\) | −8.73560 | − | 38.2732i | −0.294812 | − | 1.29166i | ||||
\(879\) | 3.62070 | + | 9.28593i | 0.122123 | + | 0.313207i | ||||
\(880\) | −58.6672 | − | 46.7855i | −1.97767 | − | 1.57714i | ||||
\(881\) | 49.7477 | 1.67604 | 0.838022 | − | 0.545637i | \(-0.183712\pi\) | ||||
0.838022 | + | 0.545637i | \(0.183712\pi\) | |||||||
\(882\) | 30.2164 | + | 25.5949i | 1.01744 | + | 0.861825i | ||||
\(883\) | 18.0300 | 0.606756 | 0.303378 | − | 0.952870i | \(-0.401885\pi\) | ||||
0.303378 | + | 0.952870i | \(0.401885\pi\) | |||||||
\(884\) | 3.16126 | + | 2.52102i | 0.106325 | + | 0.0847910i | ||||
\(885\) | 26.3730 | − | 32.9206i | 0.886520 | − | 1.10661i | ||||
\(886\) | −9.06723 | − | 39.7261i | −0.304620 | − | 1.33463i | ||||
\(887\) | 2.77045 | − | 1.88886i | 0.0930227 | − | 0.0634218i | −0.515915 | − | 0.856640i | \(-0.672548\pi\) |
0.608938 | + | 0.793218i | \(0.291596\pi\) | |||||||
\(888\) | 3.82781 | − | 12.3124i | 0.128453 | − | 0.413176i | ||||
\(889\) | −6.68523 | − | 0.585593i | −0.224216 | − | 0.0196402i | ||||
\(890\) | 15.2297 | − | 31.6249i | 0.510502 | − | 1.06007i | ||||
\(891\) | 25.9634 | − | 27.4885i | 0.869807 | − | 0.920898i | ||||
\(892\) | −36.2979 | − | 2.72015i | −1.21534 | − | 0.0910773i | ||||
\(893\) | −4.10235 | + | 27.2173i | −0.137280 | + | 0.910792i | ||||
\(894\) | −12.6038 | − | 6.10414i | −0.421533 | − | 0.204153i | ||||
\(895\) | −0.867870 | + | 5.75794i | −0.0290097 | + | 0.192467i | ||||
\(896\) | −17.1280 | + | 2.36181i | −0.572206 | + | 0.0789024i | ||||
\(897\) | 4.17785 | + | 2.86201i | 0.139494 | + | 0.0955597i | ||||
\(898\) | −40.6149 | + | 19.5591i | −1.35534 | + | 0.652695i | ||||
\(899\) | 1.89480 | + | 1.75812i | 0.0631952 | + | 0.0586366i | ||||
\(900\) | 39.8502 | + | 19.4092i | 1.32834 | + | 0.646973i | ||||
\(901\) | 47.3859 | − | 27.3583i | 1.57865 | − | 0.911436i | ||||
\(902\) | 52.2179 | + | 48.4511i | 1.73866 | + | 1.61324i | ||||
\(903\) | −14.6428 | − | 1.31539i | −0.487283 | − | 0.0437734i | ||||
\(904\) | 1.86824 | − | 1.73347i | 0.0621368 | − | 0.0576545i | ||||
\(905\) | −11.1791 | + | 36.2416i | −0.371604 | + | 1.20471i | ||||
\(906\) | 45.8252 | + | 3.53640i | 1.52244 | + | 0.117489i | ||||
\(907\) | 13.6172 | − | 34.6961i | 0.452153 | − | 1.15207i | −0.505164 | − | 0.863023i | \(-0.668568\pi\) |
0.957316 | − | 0.289042i | \(-0.0933368\pi\) | |||||||
\(908\) | 11.5306 | − | 10.6989i | 0.382658 | − | 0.355054i | ||||
\(909\) | −1.20168 | + | 5.15927i | −0.0398573 | + | 0.171122i | ||||
\(910\) | −9.89790 | − | 0.867006i | −0.328112 | − | 0.0287410i | ||||
\(911\) | 14.2429 | − | 15.3502i | 0.471888 | − | 0.508575i | −0.451590 | − | 0.892226i | \(-0.649143\pi\) |
0.923478 | + | 0.383651i | \(0.125333\pi\) | |||||||
\(912\) | −34.3534 | + | 36.8597i | −1.13755 | + | 1.22055i | ||||
\(913\) | 46.0193i | 1.52301i | ||||||||
\(914\) | −25.5192 | − | 5.82458i | −0.844099 | − | 0.192660i | ||||
\(915\) | −25.6428 | + | 5.79296i | −0.847725 | + | 0.191509i | ||||
\(916\) | −1.41228 | − | 9.36987i | −0.0466631 | − | 0.309589i | ||||
\(917\) | −19.2928 | + | 1.20210i | −0.637105 | + | 0.0396969i | ||||
\(918\) | 14.6591 | − | 46.4241i | 0.483823 | − | 1.53222i | ||||
\(919\) | −55.7728 | + | 17.2036i | −1.83977 | + | 0.567495i | −0.840088 | + | 0.542450i | \(0.817497\pi\) |
−0.999686 | + | 0.0250451i | \(0.992027\pi\) | |||||||
\(920\) | −17.6258 | − | 2.65667i | −0.581106 | − | 0.0875877i | ||||
\(921\) | 10.3025 | + | 11.1530i | 0.339479 | + | 0.367503i | ||||
\(922\) | 10.8237 | + | 71.8106i | 0.356460 | + | 2.36496i | ||||
\(923\) | 0.604529 | + | 8.06688i | 0.0198983 | + | 0.265525i | ||||
\(924\) | 1.79644 | + | 29.9004i | 0.0590985 | + | 0.983651i | ||||
\(925\) | −6.30777 | + | 84.1713i | −0.207398 | + | 2.76754i | ||||
\(926\) | 13.0719 | − | 0.979605i | 0.429570 | − | 0.0321918i | ||||
\(927\) | 7.98438 | + | 26.2985i | 0.262241 | + | 0.863758i | ||||
\(928\) | 2.96004 | − | 2.01812i | 0.0971680 | − | 0.0662480i | ||||
\(929\) | −27.4724 | + | 34.4492i | −0.901339 | + | 1.13024i | 0.0896067 | + | 0.995977i | \(0.471439\pi\) |
−0.990945 | + | 0.134266i | \(0.957132\pi\) | |||||||
\(930\) | −14.4558 | + | 62.6932i | −0.474023 | + | 2.05579i | ||||
\(931\) | 30.3165 | − | 31.0689i | 0.993584 | − | 1.01824i | ||||
\(932\) | −10.5688 | + | 6.10192i | −0.346194 | + | 0.199875i | ||||
\(933\) | 4.10464 | − | 10.3906i | 0.134380 | − | 0.340172i | ||||
\(934\) | 19.8967 | − | 1.49105i | 0.651039 | − | 0.0487886i | ||||
\(935\) | 23.4263 | − | 75.9462i | 0.766122 | − | 2.48371i | ||||
\(936\) | 0.814842 | + | 1.03113i | 0.0266339 | + | 0.0337037i | ||||
\(937\) | 7.04824 | + | 14.6358i | 0.230256 | + | 0.478131i | 0.983801 | − | 0.179265i | \(-0.0573720\pi\) |
−0.753545 | + | 0.657396i | \(0.771658\pi\) | |||||||
\(938\) | −26.8690 | + | 45.2160i | −0.877303 | + | 1.47635i | ||||
\(939\) | 2.56225 | − | 16.7472i | 0.0836158 | − | 0.546523i | ||||
\(940\) | 25.9992 | − | 3.91875i | 0.848000 | − | 0.127815i | ||||
\(941\) | −32.0584 | + | 15.4385i | −1.04507 | + | 0.503281i | −0.875994 | − | 0.482321i | \(-0.839794\pi\) |
−0.169079 | + | 0.985602i | \(0.554079\pi\) | |||||||
\(942\) | 0.891952 | − | 2.25791i | 0.0290614 | − | 0.0735667i | ||||
\(943\) | 49.0002 | + | 11.1840i | 1.59567 | + | 0.364200i | ||||
\(944\) | 18.7081 | − | 23.4592i | 0.608897 | − | 0.763533i | ||||
\(945\) | 14.4639 | + | 50.3055i | 0.470511 | + | 1.63644i | ||||
\(946\) | −15.8469 | − | 19.8714i | −0.515227 | − | 0.646074i | ||||
\(947\) | 16.2050 | + | 33.6501i | 0.526592 | + | 1.09348i | 0.979411 | + | 0.201877i | \(0.0647042\pi\) |
−0.452819 | + | 0.891603i | \(0.649582\pi\) | |||||||
\(948\) | 1.10038 | + | 15.1341i | 0.0357386 | + | 0.491533i | ||||
\(949\) | 0.407973 | 0.0132434 | ||||||||
\(950\) | 55.5254 | − | 96.1728i | 1.80148 | − | 3.12026i | ||||
\(951\) | 10.6118 | − | 0.771571i | 0.344113 | − | 0.0250199i | ||||
\(952\) | −5.38458 | − | 9.60319i | −0.174515 | − | 0.311241i | ||||
\(953\) | −12.4695 | + | 2.84608i | −0.403926 | + | 0.0921934i | −0.419657 | − | 0.907683i | \(-0.637850\pi\) |
0.0157311 | + | 0.999876i | \(0.494992\pi\) | |||||||
\(954\) | −59.6124 | + | 18.0986i | −1.93002 | + | 0.585965i | ||||
\(955\) | −1.94405 | − | 12.8979i | −0.0629081 | − | 0.417368i | ||||
\(956\) | −25.3125 | − | 9.93443i | −0.818665 | − | 0.321302i | ||||
\(957\) | 1.81077 | + | 3.15248i | 0.0585339 | + | 0.101905i | ||||
\(958\) | −2.55260 | − | 2.75105i | −0.0824707 | − | 0.0888823i | ||||
\(959\) | 24.5782 | + | 12.2192i | 0.793671 | + | 0.394580i | ||||
\(960\) | 24.5711 | + | 11.9001i | 0.793030 | + | 0.384074i | ||||
\(961\) | 4.23240 | 0.136529 | ||||||||
\(962\) | 4.38336 | − | 7.59220i | 0.141325 | − | 0.244783i | ||||
\(963\) | −3.29617 | − | 2.65262i | −0.106217 | − | 0.0854796i | ||||
\(964\) | 12.7274 | − | 18.6676i | 0.409921 | − | 0.601244i | ||||
\(965\) | 33.6453 | − | 5.07121i | 1.08308 | − | 0.163248i | ||||
\(966\) | 26.6169 | + | 40.3081i | 0.856385 | + | 1.29689i | ||||
\(967\) | −17.6641 | − | 2.66244i | −0.568040 | − | 0.0856183i | −0.141258 | − | 0.989973i | \(-0.545115\pi\) |
−0.426782 | + | 0.904354i | \(0.640353\pi\) | |||||||
\(968\) | 3.78872 | − | 4.08327i | 0.121774 | − | 0.131241i | ||||
\(969\) | −49.6347 | − | 19.6074i | −1.59450 | − | 0.629880i | ||||
\(970\) | −78.8615 | − | 53.7669i | −2.53209 | − | 1.72635i | ||||
\(971\) | −11.3921 | + | 29.0266i | −0.365590 | + | 0.931508i | 0.623182 | + | 0.782077i | \(0.285840\pi\) |
−0.988772 | + | 0.149431i | \(0.952256\pi\) | |||||||
\(972\) | −12.3590 | + | 20.8681i | −0.396414 | + | 0.669346i | ||||
\(973\) | −1.32003 | − | 6.13812i | −0.0423181 | − | 0.196779i | ||||
\(974\) | 64.6352 | + | 4.84374i | 2.07105 | + | 0.155204i | ||||
\(975\) | −6.71458 | − | 5.37912i | −0.215039 | − | 0.172270i | ||||
\(976\) | −18.2315 | + | 4.16122i | −0.583576 | + | 0.133197i | ||||
\(977\) | 24.1046 | − | 50.0536i | 0.771173 | − | 1.60136i | −0.0275210 | − | 0.999621i | \(-0.508761\pi\) |
0.798694 | − | 0.601737i | \(-0.205524\pi\) | |||||||
\(978\) | 0.664635 | + | 4.47696i | 0.0212527 | + | 0.143157i | ||||
\(979\) | 17.7880 | + | 10.2699i | 0.568508 | + | 0.328228i | ||||
\(980\) | −36.8959 | − | 18.9253i | −1.17860 | − | 0.604546i | ||||
\(981\) | 2.06681 | + | 29.3256i | 0.0659882 | + | 0.936296i | ||||
\(982\) | −6.28459 | − | 0.947249i | −0.200549 | − | 0.0302279i | ||||
\(983\) | −1.72516 | − | 23.0207i | −0.0550242 | − | 0.734247i | −0.954678 | − | 0.297642i | \(-0.903800\pi\) |
0.899653 | − | 0.436605i | \(-0.143819\pi\) | |||||||
\(984\) | 11.2814 | + | 6.54677i | 0.359639 | + | 0.208703i | ||||
\(985\) | 3.37576 | + | 4.95134i | 0.107561 | + | 0.157763i | ||||
\(986\) | 3.86750 | + | 2.63682i | 0.123166 | + | 0.0839733i | ||||
\(987\) | 15.7130 | + | 12.9155i | 0.500151 | + | 0.411105i | ||||
\(988\) | −4.16974 | + | 2.84288i | −0.132657 | + | 0.0904440i | ||||
\(989\) | −16.6935 | − | 6.55170i | −0.530821 | − | 0.208332i | ||||
\(990\) | −45.5930 | + | 78.1662i | −1.44904 | + | 2.48429i | ||||
\(991\) | 15.3958 | + | 39.2279i | 0.489065 | + | 1.24612i | 0.936142 | + | 0.351621i | \(0.114369\pi\) |
−0.447078 | + | 0.894495i | \(0.647535\pi\) | |||||||
\(992\) | −8.25549 | + | 36.1697i | −0.262112 | + | 1.14839i | ||||
\(993\) | 0.796891 | − | 2.01727i | 0.0252886 | − | 0.0640162i | ||||
\(994\) | −23.6685 | + | 73.4402i | −0.750718 | + | 2.32938i | ||||
\(995\) | 22.9024 | + | 8.98853i | 0.726055 | + | 0.284956i | ||||
\(996\) | −6.50448 | − | 28.7924i | −0.206102 | − | 0.912321i | ||||
\(997\) | 7.44998 | + | 24.1522i | 0.235943 | + | 0.764909i | 0.993670 | + | 0.112337i | \(0.0358337\pi\) |
−0.757727 | + | 0.652572i | \(0.773690\pi\) | |||||||
\(998\) | −41.7068 | − | 24.0794i | −1.32020 | − | 0.762220i | ||||
\(999\) | −45.6219 | − | 7.18734i | −1.44341 | − | 0.227397i |
(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 | 441.2.bn.a.353.13 | yes | 648 | |
9.5 | odd | 6 | 441.2.bd.a.59.13 | ✓ | 648 | ||
49.5 | odd | 42 | 441.2.bd.a.299.13 | yes | 648 | ||
441.5 | even | 42 | inner | 441.2.bn.a.5.13 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.59.13 | ✓ | 648 | 9.5 | odd | 6 | ||
441.2.bd.a.299.13 | yes | 648 | 49.5 | odd | 42 | ||
441.2.bn.a.5.13 | yes | 648 | 441.5 | even | 42 | inner | |
441.2.bn.a.353.13 | yes | 648 | 1.1 | even | 1 | trivial |