Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [200,2,Mod(29,200)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(200, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("200.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 200 = 2^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 200.o (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.59700804043\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 69.16 | ||
Character | \(\chi\) | \(=\) | 200.69 |
Dual form | 200.2.o.a.29.16 |
$q$-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 \(\left(\mathbb{Z}/200\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(177\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{9}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.135750 | + | 1.40768i | 0.0959897 | + | 0.995382i | ||||
\(3\) | 2.54275 | − | 1.84742i | 1.46806 | − | 1.06661i | 0.486890 | − | 0.873463i | \(-0.338131\pi\) |
0.981170 | − | 0.193145i | \(-0.0618687\pi\) | |||||||
\(4\) | −1.96314 | + | 0.382186i | −0.981572 | + | 0.191093i | ||||
\(5\) | 1.08744 | + | 1.95384i | 0.486318 | + | 0.873782i | ||||
\(6\) | 2.94576 | + | 3.32861i | 1.20260 | + | 1.35890i | ||||
\(7\) | 1.17589i | 0.444443i | 0.974996 | + | 0.222222i | \(0.0713308\pi\) | ||||
−0.974996 | + | 0.222222i | \(0.928669\pi\) | |||||||
\(8\) | −0.804493 | − | 2.71160i | −0.284431 | − | 0.958696i | ||||
\(9\) | 2.12559 | − | 6.54190i | 0.708531 | − | 2.18063i | ||||
\(10\) | −2.60276 | + | 1.79600i | −0.823066 | + | 0.567946i | ||||
\(11\) | −3.77756 | + | 1.22741i | −1.13898 | + | 0.370077i | −0.816981 | − | 0.576664i | \(-0.804354\pi\) |
−0.321997 | + | 0.946741i | \(0.604354\pi\) | |||||||
\(12\) | −4.28574 | + | 4.59855i | −1.23719 | + | 1.32749i | ||||
\(13\) | 0.280944 | − | 0.864656i | 0.0779198 | − | 0.239812i | −0.904508 | − | 0.426457i | \(-0.859761\pi\) |
0.982427 | + | 0.186645i | \(0.0597614\pi\) | |||||||
\(14\) | −1.65528 | + | 0.159626i | −0.442391 | + | 0.0426620i | ||||
\(15\) | 6.37465 | + | 2.95917i | 1.64593 | + | 0.764054i | ||||
\(16\) | 3.70787 | − | 1.50057i | 0.926967 | − | 0.375143i | ||||
\(17\) | 3.27511 | − | 4.50780i | 0.794331 | − | 1.09330i | −0.199225 | − | 0.979954i | \(-0.563842\pi\) |
0.993555 | − | 0.113348i | \(-0.0361576\pi\) | |||||||
\(18\) | 9.49747 | + | 2.10410i | 2.23858 | + | 0.495940i | ||||
\(19\) | −2.64864 | + | 3.64555i | −0.607641 | + | 0.836346i | −0.996381 | − | 0.0850017i | \(-0.972910\pi\) |
0.388740 | + | 0.921348i | \(0.372910\pi\) | |||||||
\(20\) | −2.88153 | − | 3.42006i | −0.644329 | − | 0.764748i | ||||
\(21\) | 2.17235 | + | 2.98999i | 0.474047 | + | 0.652469i | ||||
\(22\) | −2.24060 | − | 5.15099i | −0.477698 | − | 1.09820i | ||||
\(23\) | −2.07468 | + | 0.674105i | −0.432601 | + | 0.140561i | −0.517220 | − | 0.855853i | \(-0.673033\pi\) |
0.0846183 | + | 0.996413i | \(0.473033\pi\) | |||||||
\(24\) | −7.05510 | − | 5.40870i | −1.44012 | − | 1.10405i | ||||
\(25\) | −2.63495 | + | 4.24936i | −0.526990 | + | 0.849871i | ||||
\(26\) | 1.25530 | + | 0.278103i | 0.246184 | + | 0.0545404i | ||||
\(27\) | −3.76703 | − | 11.5937i | −0.724966 | − | 2.23122i | ||||
\(28\) | −0.449407 | − | 2.30843i | −0.0849299 | − | 0.436253i | ||||
\(29\) | −3.65841 | − | 5.03536i | −0.679349 | − | 0.935044i | 0.320577 | − | 0.947223i | \(-0.396123\pi\) |
−0.999926 | + | 0.0121788i | \(0.996123\pi\) | |||||||
\(30\) | −3.30022 | + | 9.37519i | −0.602534 | + | 1.71167i | ||||
\(31\) | −1.16778 | − | 0.848445i | −0.209740 | − | 0.152385i | 0.477956 | − | 0.878384i | \(-0.341378\pi\) |
−0.687696 | + | 0.725999i | \(0.741378\pi\) | |||||||
\(32\) | 2.61567 | + | 5.01580i | 0.462390 | + | 0.886677i | ||||
\(33\) | −7.33789 | + | 10.0997i | −1.27736 | + | 1.75814i | ||||
\(34\) | 6.79015 | + | 3.99838i | 1.16450 | + | 0.685717i | ||||
\(35\) | −2.29749 | + | 1.27870i | −0.388347 | + | 0.216141i | ||||
\(36\) | −1.67262 | + | 13.6551i | −0.278770 | + | 2.27584i | ||||
\(37\) | −2.16303 | + | 6.65712i | −0.355600 | + | 1.09442i | 0.600061 | + | 0.799954i | \(0.295143\pi\) |
−0.955661 | + | 0.294470i | \(0.904857\pi\) | |||||||
\(38\) | −5.49133 | − | 3.23357i | −0.890811 | − | 0.524554i | ||||
\(39\) | −0.883011 | − | 2.71763i | −0.141395 | − | 0.435169i | ||||
\(40\) | 4.42319 | − | 4.52055i | 0.699368 | − | 0.714762i | ||||
\(41\) | 1.97065 | − | 6.06503i | 0.307763 | − | 0.947198i | −0.670868 | − | 0.741577i | \(-0.734078\pi\) |
0.978632 | − | 0.205622i | \(-0.0659216\pi\) | |||||||
\(42\) | −3.91406 | + | 3.46388i | −0.603953 | + | 0.534488i | ||||
\(43\) | −2.96089 | −0.451532 | −0.225766 | − | 0.974182i | \(-0.572488\pi\) | ||||
−0.225766 | + | 0.974182i | \(0.572488\pi\) | |||||||
\(44\) | 6.94681 | − | 3.85330i | 1.04727 | − | 0.580908i | ||||
\(45\) | 15.0933 | − | 2.96086i | 2.24997 | − | 0.441379i | ||||
\(46\) | −1.23056 | − | 2.82899i | −0.181437 | − | 0.417111i | ||||
\(47\) | −3.12538 | − | 4.30172i | −0.455884 | − | 0.627470i | 0.517765 | − | 0.855523i | \(-0.326764\pi\) |
−0.973649 | + | 0.228053i | \(0.926764\pi\) | |||||||
\(48\) | 6.65601 | − | 10.6656i | 0.960713 | − | 1.53944i | ||||
\(49\) | 5.61729 | 0.802470 | ||||||||
\(50\) | −6.33944 | − | 3.13233i | −0.896532 | − | 0.442978i | ||||
\(51\) | − | 17.5127i | − | 2.45227i | ||||||
\(52\) | −0.221074 | + | 1.80482i | −0.0306574 | + | 0.250283i | ||||
\(53\) | −10.5708 | + | 7.68016i | −1.45202 | + | 1.05495i | −0.466661 | + | 0.884436i | \(0.654543\pi\) |
−0.985355 | + | 0.170515i | \(0.945457\pi\) | |||||||
\(54\) | 15.8089 | − | 6.87664i | 2.15132 | − | 0.935792i | ||||
\(55\) | −6.50602 | − | 6.04601i | −0.877272 | − | 0.815244i | ||||
\(56\) | 3.18854 | − | 0.945992i | 0.426086 | − | 0.126414i | ||||
\(57\) | 14.1629i | 1.87592i | ||||||||
\(58\) | 6.59157 | − | 5.83343i | 0.865515 | − | 0.765967i | ||||
\(59\) | 1.22277 | + | 0.397301i | 0.159191 | + | 0.0517242i | 0.387528 | − | 0.921858i | \(-0.373329\pi\) |
−0.228338 | + | 0.973582i | \(0.573329\pi\) | |||||||
\(60\) | −13.6453 | − | 3.37298i | −1.76160 | − | 0.435449i | ||||
\(61\) | 14.7321 | − | 4.78675i | 1.88625 | − | 0.612881i | 0.903306 | − | 0.428996i | \(-0.141133\pi\) |
0.982948 | − | 0.183885i | \(-0.0588674\pi\) | |||||||
\(62\) | 1.03582 | − | 1.75905i | 0.131549 | − | 0.223399i | ||||
\(63\) | 7.69253 | + | 2.49945i | 0.969167 | + | 0.314902i | ||||
\(64\) | −6.70558 | + | 4.36293i | −0.838198 | + | 0.545367i | ||||
\(65\) | 1.99491 | − | 0.391343i | 0.247438 | − | 0.0485401i | ||||
\(66\) | −15.2133 | − | 8.95838i | −1.87263 | − | 1.10270i | ||||
\(67\) | 2.45652 | + | 1.78477i | 0.300112 | + | 0.218044i | 0.727642 | − | 0.685957i | \(-0.240616\pi\) |
−0.427530 | + | 0.904001i | \(0.640616\pi\) | |||||||
\(68\) | −4.70669 | + | 10.1012i | −0.570770 | + | 1.22495i | ||||
\(69\) | −4.03005 | + | 5.54689i | −0.485161 | + | 0.667767i | ||||
\(70\) | −2.11190 | − | 3.06055i | −0.252420 | − | 0.365806i | ||||
\(71\) | −1.58201 | + | 1.14940i | −0.187750 | + | 0.136409i | −0.677690 | − | 0.735348i | \(-0.737019\pi\) |
0.489940 | + | 0.871756i | \(0.337019\pi\) | |||||||
\(72\) | −19.4491 | − | 0.500848i | −2.29209 | − | 0.0590255i | ||||
\(73\) | 4.01616 | − | 1.30493i | 0.470056 | − | 0.152731i | −0.0644044 | − | 0.997924i | \(-0.520515\pi\) |
0.534461 | + | 0.845193i | \(0.320515\pi\) | |||||||
\(74\) | −9.66475 | − | 2.14116i | −1.12350 | − | 0.248905i | ||||
\(75\) | 1.15031 | + | 15.6729i | 0.132826 | + | 1.80975i | ||||
\(76\) | 3.80639 | − | 8.16901i | 0.436623 | − | 0.937049i | ||||
\(77\) | −1.44329 | − | 4.44199i | −0.164478 | − | 0.506211i | ||||
\(78\) | 3.70569 | − | 1.61192i | 0.419587 | − | 0.182514i | ||||
\(79\) | 2.23200 | − | 1.62164i | 0.251119 | − | 0.182449i | −0.455103 | − | 0.890439i | \(-0.650398\pi\) |
0.706223 | + | 0.707990i | \(0.250398\pi\) | |||||||
\(80\) | 6.96395 | + | 5.61279i | 0.778593 | + | 0.627529i | ||||
\(81\) | −14.3025 | − | 10.3914i | −1.58917 | − | 1.15460i | ||||
\(82\) | 8.80515 | + | 1.95072i | 0.972366 | + | 0.215421i | ||||
\(83\) | 7.65878 | + | 5.56443i | 0.840660 | + | 0.610775i | 0.922555 | − | 0.385866i | \(-0.126097\pi\) |
−0.0818950 | + | 0.996641i | \(0.526097\pi\) | |||||||
\(84\) | −5.40738 | − | 5.03954i | −0.589993 | − | 0.549859i | ||||
\(85\) | 12.3690 | + | 1.49707i | 1.34160 | + | 0.162380i | ||||
\(86\) | −0.401941 | − | 4.16800i | −0.0433424 | − | 0.449447i | ||||
\(87\) | −18.6049 | − | 6.04509i | −1.99465 | − | 0.648101i | ||||
\(88\) | 6.36726 | + | 9.25582i | 0.678752 | + | 0.986673i | ||||
\(89\) | 0.806910 | + | 2.48341i | 0.0855323 | + | 0.263241i | 0.984671 | − | 0.174423i | \(-0.0558059\pi\) |
−0.899139 | + | 0.437664i | \(0.855806\pi\) | |||||||
\(90\) | 6.21686 | + | 20.8446i | 0.655314 | + | 2.19721i | ||||
\(91\) | 1.01674 | + | 0.330358i | 0.106583 | + | 0.0346309i | ||||
\(92\) | 3.81527 | − | 2.11628i | 0.397769 | − | 0.220637i | ||||
\(93\) | −4.53682 | −0.470447 | ||||||||
\(94\) | 5.63118 | − | 4.98350i | 0.580812 | − | 0.514009i | ||||
\(95\) | −10.0030 | − | 1.21071i | −1.02629 | − | 0.124216i | ||||
\(96\) | 15.9173 | + | 7.92171i | 1.62455 | + | 0.808506i | ||||
\(97\) | −0.171369 | − | 0.235869i | −0.0173999 | − | 0.0239489i | 0.800228 | − | 0.599695i | \(-0.204712\pi\) |
−0.817628 | + | 0.575746i | \(0.804712\pi\) | |||||||
\(98\) | 0.762547 | + | 7.90737i | 0.0770289 | + | 0.798765i | ||||
\(99\) | 27.3214i | 2.74590i | ||||||||
\(100\) | 3.54875 | − | 9.34914i | 0.354875 | − | 0.934914i | ||||
\(101\) | 7.84171i | 0.780280i | 0.920756 | + | 0.390140i | \(0.127573\pi\) | ||||
−0.920756 | + | 0.390140i | \(0.872427\pi\) | |||||||
\(102\) | 24.6524 | − | 2.37735i | 2.44095 | − | 0.235393i | ||||
\(103\) | 7.73997 | + | 10.6532i | 0.762642 | + | 1.04969i | 0.996990 | + | 0.0775342i | \(0.0247047\pi\) |
−0.234347 | + | 0.972153i | \(0.575295\pi\) | |||||||
\(104\) | −2.57062 | − | 0.0661980i | −0.252070 | − | 0.00649125i | ||||
\(105\) | −3.47965 | + | 7.49586i | −0.339579 | + | 0.731521i | ||||
\(106\) | −12.2462 | − | 13.8378i | −1.18946 | − | 1.34405i | ||||
\(107\) | −7.00700 | −0.677392 | −0.338696 | − | 0.940896i | \(-0.609986\pi\) | ||||
−0.338696 | + | 0.940896i | \(0.609986\pi\) | |||||||
\(108\) | 11.8262 | + | 21.3205i | 1.13798 | + | 2.05156i | ||||
\(109\) | −2.56991 | − | 0.835013i | −0.246152 | − | 0.0799797i | 0.183342 | − | 0.983049i | \(-0.441308\pi\) |
−0.429495 | + | 0.903069i | \(0.641308\pi\) | |||||||
\(110\) | 7.62768 | − | 9.97916i | 0.727271 | − | 0.951476i | ||||
\(111\) | 6.79844 | + | 20.9235i | 0.645280 | + | 1.98597i | ||||
\(112\) | 1.76450 | + | 4.36003i | 0.166730 | + | 0.411984i | ||||
\(113\) | 4.34695 | + | 1.41241i | 0.408926 | + | 0.132868i | 0.506255 | − | 0.862384i | \(-0.331030\pi\) |
−0.0973282 | + | 0.995252i | \(0.531030\pi\) | |||||||
\(114\) | −19.9369 | + | 1.92261i | −1.86726 | + | 0.180069i | ||||
\(115\) | −3.57318 | − | 3.32054i | −0.333201 | − | 0.309642i | ||||
\(116\) | 9.10642 | + | 8.48695i | 0.845510 | + | 0.787994i | ||||
\(117\) | −5.05932 | − | 3.67581i | −0.467734 | − | 0.339829i | ||||
\(118\) | −0.393283 | + | 1.77520i | −0.0362047 | + | 0.163420i | ||||
\(119\) | 5.30066 | + | 3.85116i | 0.485911 | + | 0.353035i | ||||
\(120\) | 2.89573 | − | 19.6661i | 0.264343 | − | 1.79526i | ||||
\(121\) | 3.86428 | − | 2.80757i | 0.351299 | − | 0.255233i | ||||
\(122\) | 8.73812 | + | 20.0883i | 0.791112 | + | 1.81871i | ||||
\(123\) | −6.19378 | − | 19.0625i | −0.558474 | − | 1.71881i | ||||
\(124\) | 2.61679 | + | 1.21931i | 0.234995 | + | 0.109497i | ||||
\(125\) | −11.1679 | − | 0.527349i | −0.998887 | − | 0.0471675i | ||||
\(126\) | −2.47418 | + | 11.1679i | −0.220417 | + | 0.994919i | ||||
\(127\) | −8.20787 | + | 2.66690i | −0.728330 | + | 0.236649i | −0.649631 | − | 0.760250i | \(-0.725077\pi\) |
−0.0786992 | + | 0.996898i | \(0.525077\pi\) | |||||||
\(128\) | −7.05191 | − | 8.84707i | −0.623307 | − | 0.781978i | ||||
\(129\) | −7.52882 | + | 5.47001i | −0.662876 | + | 0.481607i | ||||
\(130\) | 0.821695 | + | 2.75507i | 0.0720674 | + | 0.241636i | ||||
\(131\) | 5.11250 | − | 7.03676i | 0.446681 | − | 0.614804i | −0.524999 | − | 0.851103i | \(-0.675934\pi\) |
0.971680 | + | 0.236299i | \(0.0759343\pi\) | |||||||
\(132\) | 10.5454 | − | 22.6317i | 0.917855 | − | 1.96983i | ||||
\(133\) | −4.28675 | − | 3.11451i | −0.371708 | − | 0.270062i | ||||
\(134\) | −2.17891 | + | 3.70028i | −0.188229 | + | 0.319656i | ||||
\(135\) | 18.5558 | − | 19.9677i | 1.59703 | − | 1.71854i | ||||
\(136\) | −14.8582 | − | 5.25430i | −1.27408 | − | 0.450553i | ||||
\(137\) | 3.46540 | + | 1.12598i | 0.296069 | + | 0.0961988i | 0.453285 | − | 0.891365i | \(-0.350252\pi\) |
−0.157216 | + | 0.987564i | \(0.550252\pi\) | |||||||
\(138\) | −8.35535 | − | 4.92005i | −0.711254 | − | 0.418822i | ||||
\(139\) | 13.2832 | − | 4.31597i | 1.12666 | − | 0.366075i | 0.314357 | − | 0.949305i | \(-0.398211\pi\) |
0.812307 | + | 0.583230i | \(0.198211\pi\) | |||||||
\(140\) | 4.02160 | − | 3.38835i | 0.339887 | − | 0.286368i | ||||
\(141\) | −15.8941 | − | 5.16432i | −1.33853 | − | 0.434914i | ||||
\(142\) | −1.83275 | − | 2.07094i | −0.153801 | − | 0.173789i | ||||
\(143\) | 3.61112i | 0.301977i | ||||||||
\(144\) | −1.93517 | − | 27.4461i | −0.161264 | − | 2.28717i | ||||
\(145\) | 5.85998 | − | 12.6236i | 0.486645 | − | 1.04833i | ||||
\(146\) | 2.38212 | + | 5.47634i | 0.197146 | + | 0.453225i | ||||
\(147\) | 14.2834 | − | 10.3775i | 1.17807 | − | 0.855921i | ||||
\(148\) | 1.70208 | − | 13.8956i | 0.139910 | − | 1.14221i | ||||
\(149\) | 2.61363i | 0.214117i | 0.994253 | + | 0.107059i | \(0.0341433\pi\) | ||||
−0.994253 | + | 0.107059i | \(0.965857\pi\) | |||||||
\(150\) | −21.9064 | + | 3.74687i | −1.78865 | + | 0.305930i | ||||
\(151\) | 10.6178 | 0.864067 | 0.432034 | − | 0.901857i | \(-0.357796\pi\) | ||||
0.432034 | + | 0.901857i | \(0.357796\pi\) | |||||||
\(152\) | 12.0161 | + | 4.24926i | 0.974634 | + | 0.344660i | ||||
\(153\) | −22.5280 | − | 31.0072i | −1.82128 | − | 2.50678i | ||||
\(154\) | 6.05698 | − | 2.63469i | 0.488086 | − | 0.212310i | ||||
\(155\) | 0.387828 | − | 3.20429i | 0.0311511 | − | 0.257375i | ||||
\(156\) | 2.77212 | + | 4.99762i | 0.221947 | + | 0.400130i | ||||
\(157\) | 3.90358 | 0.311539 | 0.155770 | − | 0.987793i | \(-0.450214\pi\) | ||||
0.155770 | + | 0.987793i | \(0.450214\pi\) | |||||||
\(158\) | 2.58575 | + | 2.92181i | 0.205711 | + | 0.232446i | ||||
\(159\) | −12.6906 | + | 39.0575i | −1.00643 | + | 3.09746i | ||||
\(160\) | −6.95567 | + | 10.5650i | −0.549894 | + | 0.835234i | ||||
\(161\) | −0.792671 | − | 2.43959i | −0.0624712 | − | 0.192267i | ||||
\(162\) | 12.6862 | − | 21.5441i | 0.996724 | − | 1.69266i | ||||
\(163\) | −6.06584 | + | 18.6687i | −0.475114 | + | 1.46225i | 0.370691 | + | 0.928756i | \(0.379121\pi\) |
−0.845805 | + | 0.533493i | \(0.820879\pi\) | |||||||
\(164\) | −1.55070 | + | 12.6597i | −0.121089 | + | 0.988555i | ||||
\(165\) | −27.7127 | − | 3.35418i | −2.15743 | − | 0.261123i | ||||
\(166\) | −6.79327 | + | 11.5365i | −0.527260 | + | 0.895406i | ||||
\(167\) | 9.89993 | − | 13.6261i | 0.766080 | − | 1.05442i | −0.230604 | − | 0.973048i | \(-0.574070\pi\) |
0.996684 | − | 0.0813708i | \(-0.0259298\pi\) | |||||||
\(168\) | 6.36002 | − | 8.29599i | 0.490686 | − | 0.640050i | ||||
\(169\) | 9.84852 | + | 7.15537i | 0.757579 | + | 0.550413i | ||||
\(170\) | −0.428308 | + | 17.6148i | −0.0328497 | + | 1.35100i | ||||
\(171\) | 18.2189 | + | 25.0761i | 1.39323 | + | 1.91762i | ||||
\(172\) | 5.81266 | − | 1.13161i | 0.443211 | − | 0.0862845i | ||||
\(173\) | −3.14623 | − | 9.68309i | −0.239203 | − | 0.736192i | −0.996536 | − | 0.0831625i | \(-0.973498\pi\) |
0.757333 | − | 0.653029i | \(-0.226502\pi\) | |||||||
\(174\) | 5.98396 | − | 27.0104i | 0.453643 | − | 2.04765i | ||||
\(175\) | −4.99676 | − | 3.09840i | −0.377719 | − | 0.234217i | ||||
\(176\) | −12.1649 | + | 10.2196i | −0.916964 | + | 0.770328i | ||||
\(177\) | 3.84317 | − | 1.24872i | 0.288871 | − | 0.0938598i | ||||
\(178\) | −3.38632 | + | 1.47300i | −0.253815 | + | 0.110406i | ||||
\(179\) | −8.87687 | − | 12.2180i | −0.663488 | − | 0.913214i | 0.336102 | − | 0.941826i | \(-0.390891\pi\) |
−0.999591 | + | 0.0286120i | \(0.990891\pi\) | |||||||
\(180\) | −28.4986 | + | 11.5810i | −2.12416 | + | 0.863198i | ||||
\(181\) | 11.1217 | − | 15.3077i | 0.826668 | − | 1.13781i | −0.161866 | − | 0.986813i | \(-0.551751\pi\) |
0.988534 | − | 0.150998i | \(-0.0482489\pi\) | |||||||
\(182\) | −0.327017 | + | 1.47609i | −0.0242401 | + | 0.109415i | ||||
\(183\) | 28.6170 | − | 39.3879i | 2.11543 | − | 2.91164i | ||||
\(184\) | 3.49697 | + | 5.08340i | 0.257800 | + | 0.374753i | ||||
\(185\) | −15.3591 | + | 3.01301i | −1.12922 | + | 0.221521i | ||||
\(186\) | −0.615874 | − | 6.38641i | −0.0451581 | − | 0.468274i | ||||
\(187\) | −6.83904 | + | 21.0484i | −0.500120 | + | 1.53921i | ||||
\(188\) | 7.77963 | + | 7.25041i | 0.567387 | + | 0.528791i | ||||
\(189\) | 13.6329 | − | 4.42960i | 0.991649 | − | 0.322206i | ||||
\(190\) | 0.346381 | − | 14.2455i | 0.0251291 | − | 1.03347i | ||||
\(191\) | −0.692493 | + | 2.13127i | −0.0501070 | + | 0.154214i | −0.972979 | − | 0.230893i | \(-0.925835\pi\) |
0.922872 | + | 0.385106i | \(0.125835\pi\) | |||||||
\(192\) | −8.99048 | + | 23.4819i | −0.648832 | + | 1.69466i | ||||
\(193\) | 22.6952i | 1.63363i | 0.576896 | + | 0.816817i | \(0.304264\pi\) | ||||
−0.576896 | + | 0.816817i | \(0.695736\pi\) | |||||||
\(194\) | 0.308765 | − | 0.273252i | 0.0221681 | − | 0.0196184i | ||||
\(195\) | 4.34958 | − | 4.68051i | 0.311480 | − | 0.335179i | ||||
\(196\) | −11.0276 | + | 2.14685i | −0.787682 | + | 0.153346i | ||||
\(197\) | 10.5031 | − | 7.63095i | 0.748315 | − | 0.543682i | −0.146989 | − | 0.989138i | \(-0.546958\pi\) |
0.895304 | + | 0.445456i | \(0.146958\pi\) | |||||||
\(198\) | −38.4599 | + | 3.70888i | −2.73322 | + | 0.263579i | ||||
\(199\) | −18.2166 | −1.29134 | −0.645672 | − | 0.763615i | \(-0.723423\pi\) | ||||
−0.645672 | + | 0.763615i | \(0.723423\pi\) | |||||||
\(200\) | 13.6424 | + | 3.72637i | 0.964661 | + | 0.263494i | ||||
\(201\) | 9.54353 | 0.673149 | ||||||||
\(202\) | −11.0386 | + | 1.06451i | −0.776676 | + | 0.0748988i | ||||
\(203\) | 5.92102 | − | 4.30187i | 0.415574 | − | 0.301932i | ||||
\(204\) | 6.69312 | + | 34.3800i | 0.468612 | + | 2.40708i | ||||
\(205\) | 13.9930 | − | 2.74503i | 0.977316 | − | 0.191721i | ||||
\(206\) | −13.9456 | + | 12.3416i | −0.971634 | + | 0.859880i | ||||
\(207\) | 15.0052i | 1.04294i | ||||||||
\(208\) | −0.255776 | − | 3.62761i | −0.0177349 | − | 0.251529i | ||||
\(209\) | 5.53086 | − | 17.0222i | 0.382578 | − | 1.17745i | ||||
\(210\) | −11.0242 | − | 3.88068i | −0.760739 | − | 0.267792i | ||||
\(211\) | 1.67102 | − | 0.542946i | 0.115037 | − | 0.0373779i | −0.250933 | − | 0.968005i | \(-0.580737\pi\) |
0.365970 | + | 0.930627i | \(0.380737\pi\) | |||||||
\(212\) | 17.8168 | − | 19.1173i | 1.22366 | − | 1.31298i | ||||
\(213\) | −1.89925 | + | 5.84528i | −0.130134 | + | 0.400512i | ||||
\(214\) | −0.951200 | − | 9.86364i | −0.0650227 | − | 0.674264i | ||||
\(215\) | −3.21979 | − | 5.78510i | −0.219588 | − | 0.394540i | ||||
\(216\) | −28.4071 | + | 19.5418i | −1.93286 | + | 1.32965i | ||||
\(217\) | 0.997675 | − | 1.37318i | 0.0677266 | − | 0.0932177i | ||||
\(218\) | 0.826569 | − | 3.73097i | 0.0559823 | − | 0.252693i | ||||
\(219\) | 7.80136 | − | 10.7377i | 0.527167 | − | 0.725583i | ||||
\(220\) | 15.0830 | + | 9.38269i | 1.01689 | + | 0.632581i | ||||
\(221\) | −2.97757 | − | 4.09828i | −0.200293 | − | 0.275680i | ||||
\(222\) | −28.5307 | + | 12.4104i | −1.91486 | + | 0.832932i | ||||
\(223\) | −1.48230 | + | 0.481630i | −0.0992625 | + | 0.0322523i | −0.358227 | − | 0.933634i | \(-0.616619\pi\) |
0.258965 | + | 0.965887i | \(0.416619\pi\) | |||||||
\(224\) | −5.89801 | + | 3.07573i | −0.394077 | + | 0.205506i | ||||
\(225\) | 22.1980 | + | 26.2700i | 1.47987 | + | 1.75133i | ||||
\(226\) | −1.39813 | + | 6.31086i | −0.0930020 | + | 0.419792i | ||||
\(227\) | 2.84981 | + | 8.77081i | 0.189148 | + | 0.582139i | 0.999995 | − | 0.00311955i | \(-0.000992986\pi\) |
−0.810847 | + | 0.585259i | \(0.800993\pi\) | |||||||
\(228\) | −5.41286 | − | 27.8038i | −0.358475 | − | 1.84135i | ||||
\(229\) | −6.64077 | − | 9.14023i | −0.438834 | − | 0.604003i | 0.531118 | − | 0.847298i | \(-0.321772\pi\) |
−0.969953 | + | 0.243294i | \(0.921772\pi\) | |||||||
\(230\) | 4.18921 | − | 5.48067i | 0.276228 | − | 0.361385i | ||||
\(231\) | −11.8761 | − | 8.62852i | −0.781393 | − | 0.567715i | ||||
\(232\) | −10.7107 | + | 13.9711i | −0.703195 | + | 0.917245i | ||||
\(233\) | −7.30682 | + | 10.0570i | −0.478685 | + | 0.658854i | −0.978252 | − | 0.207422i | \(-0.933493\pi\) |
0.499566 | + | 0.866276i | \(0.333493\pi\) | |||||||
\(234\) | 4.48757 | − | 7.62091i | 0.293362 | − | 0.498194i | ||||
\(235\) | 5.00619 | − | 10.7843i | 0.326568 | − | 0.703492i | ||||
\(236\) | −2.55231 | − | 0.312635i | −0.166141 | − | 0.0203508i | ||||
\(237\) | 2.67957 | − | 8.24687i | 0.174057 | − | 0.535692i | ||||
\(238\) | −4.70164 | + | 7.98445i | −0.304762 | + | 0.517555i | ||||
\(239\) | −8.53966 | − | 26.2824i | −0.552384 | − | 1.70006i | −0.702752 | − | 0.711435i | \(-0.748046\pi\) |
0.150368 | − | 0.988630i | \(-0.451954\pi\) | |||||||
\(240\) | 28.0768 | + | 1.40660i | 1.81235 | + | 0.0907956i | ||||
\(241\) | −1.32369 | + | 4.07389i | −0.0852663 | + | 0.262423i | −0.984595 | − | 0.174851i | \(-0.944056\pi\) |
0.899329 | + | 0.437273i | \(0.144056\pi\) | |||||||
\(242\) | 4.47674 | + | 5.05856i | 0.287776 | + | 0.325177i | ||||
\(243\) | −18.9940 | −1.21846 | ||||||||
\(244\) | −27.0918 | + | 15.0275i | −1.73438 | + | 0.962037i | ||||
\(245\) | 6.10846 | + | 10.9753i | 0.390255 | + | 0.701184i | ||||
\(246\) | 25.9931 | − | 11.3066i | 1.65726 | − | 0.720883i | ||||
\(247\) | 2.40802 | + | 3.31436i | 0.153219 | + | 0.210888i | ||||
\(248\) | −1.36117 | + | 3.84914i | −0.0864345 | + | 0.244420i | ||||
\(249\) | 29.7542 | 1.88560 | ||||||||
\(250\) | −0.773701 | − | 15.7924i | −0.0489332 | − | 0.998802i | ||||
\(251\) | 13.4000i | 0.845800i | 0.906176 | + | 0.422900i | \(0.138988\pi\) | ||||
−0.906176 | + | 0.422900i | \(0.861012\pi\) | |||||||
\(252\) | −16.0568 | − | 1.96681i | −1.01148 | − | 0.123898i | ||||
\(253\) | 7.00985 | − | 5.09295i | 0.440705 | − | 0.320191i | ||||
\(254\) | −4.86836 | − | 11.1920i | −0.305468 | − | 0.702251i | ||||
\(255\) | 34.2170 | − | 19.0440i | 2.14275 | − | 1.19258i | ||||
\(256\) | 11.4966 | − | 11.1278i | 0.718536 | − | 0.695490i | ||||
\(257\) | − | 7.81899i | − | 0.487735i | −0.969809 | − | 0.243868i | \(-0.921584\pi\) | ||
0.969809 | − | 0.243868i | \(-0.0784162\pi\) | |||||||
\(258\) | −8.72208 | − | 9.85564i | −0.543013 | − | 0.613585i | ||||
\(259\) | −7.82802 | − | 2.54348i | −0.486409 | − | 0.158044i | ||||
\(260\) | −3.76672 | + | 1.53069i | −0.233602 | + | 0.0949291i | ||||
\(261\) | −40.7171 | + | 13.2298i | −2.52033 | + | 0.818904i | ||||
\(262\) | 10.5995 | + | 6.24154i | 0.654842 | + | 0.385604i | ||||
\(263\) | −26.0980 | − | 8.47975i | −1.60927 | − | 0.522884i | −0.639894 | − | 0.768463i | \(-0.721022\pi\) |
−0.969377 | + | 0.245579i | \(0.921022\pi\) | |||||||
\(264\) | 33.2898 | + | 11.7723i | 2.04884 | + | 0.724533i | ||||
\(265\) | −26.5009 | − | 12.3020i | −1.62794 | − | 0.755704i | ||||
\(266\) | 3.80231 | − | 6.45718i | 0.233135 | − | 0.395915i | ||||
\(267\) | 6.63968 | + | 4.82401i | 0.406342 | + | 0.295225i | ||||
\(268\) | −5.50461 | − | 2.56490i | −0.336248 | − | 0.156676i | ||||
\(269\) | −12.5408 | + | 17.2610i | −0.764629 | + | 1.05242i | 0.232186 | + | 0.972671i | \(0.425412\pi\) |
−0.996815 | + | 0.0797498i | \(0.974588\pi\) | |||||||
\(270\) | 30.6271 | + | 23.4101i | 1.86391 | + | 1.42470i | ||||
\(271\) | 0.864363 | − | 0.627996i | 0.0525063 | − | 0.0381481i | −0.561223 | − | 0.827665i | \(-0.689669\pi\) |
0.613729 | + | 0.789517i | \(0.289669\pi\) | |||||||
\(272\) | 5.37939 | − | 21.6289i | 0.326174 | − | 1.31144i | ||||
\(273\) | 3.19562 | − | 1.03832i | 0.193408 | − | 0.0628420i | ||||
\(274\) | −1.11459 | + | 5.03104i | −0.0673350 | + | 0.303936i | ||||
\(275\) | 4.73802 | − | 19.2864i | 0.285713 | − | 1.16301i | ||||
\(276\) | 5.79163 | − | 12.4296i | 0.348615 | − | 0.748173i | ||||
\(277\) | −5.48602 | − | 16.8842i | −0.329623 | − | 1.01448i | −0.969310 | − | 0.245840i | \(-0.920936\pi\) |
0.639687 | − | 0.768635i | \(-0.279064\pi\) | |||||||
\(278\) | 7.87870 | + | 18.1126i | 0.472533 | + | 1.08632i | ||||
\(279\) | −8.03268 | + | 5.83608i | −0.480904 | + | 0.349397i | ||||
\(280\) | 5.31565 | + | 5.20117i | 0.317671 | + | 0.310829i | ||||
\(281\) | −8.77867 | − | 6.37807i | −0.523691 | − | 0.380484i | 0.294301 | − | 0.955713i | \(-0.404913\pi\) |
−0.817993 | + | 0.575229i | \(0.804913\pi\) | |||||||
\(282\) | 5.11210 | − | 23.0750i | 0.304421 | − | 1.37410i | ||||
\(283\) | −18.7899 | − | 13.6517i | −1.11695 | − | 0.811509i | −0.133203 | − | 0.991089i | \(-0.542526\pi\) |
−0.983743 | + | 0.179580i | \(0.942526\pi\) | |||||||
\(284\) | 2.66643 | − | 2.86106i | 0.158224 | − | 0.169773i | ||||
\(285\) | −27.6720 | + | 15.4013i | −1.63915 | + | 0.912293i | ||||
\(286\) | −5.08332 | + | 0.490210i | −0.300583 | + | 0.0289867i | ||||
\(287\) | 7.13178 | + | 2.31726i | 0.420976 | + | 0.136783i | ||||
\(288\) | 38.3727 | − | 6.44992i | 2.26113 | − | 0.380065i | ||||
\(289\) | −4.34064 | − | 13.3591i | −0.255332 | − | 0.785830i | ||||
\(290\) | 18.5655 | + | 6.53535i | 1.09020 | + | 0.383769i | ||||
\(291\) | −0.871498 | − | 0.283167i | −0.0510881 | − | 0.0165995i | ||||
\(292\) | −7.38558 | + | 4.09669i | −0.432208 | + | 0.239740i | ||||
\(293\) | 23.5633 | 1.37658 | 0.688291 | − | 0.725434i | \(-0.258361\pi\) | ||||
0.688291 | + | 0.725434i | \(0.258361\pi\) | |||||||
\(294\) | 16.5472 | + | 18.6977i | 0.965052 | + | 1.09047i | ||||
\(295\) | 0.553423 | + | 2.82112i | 0.0322215 | + | 0.164252i | ||||
\(296\) | 19.7916 | + | 0.509669i | 1.15036 | + | 0.0296239i | ||||
\(297\) | 28.4604 | + | 39.1724i | 1.65144 | + | 2.27301i | ||||
\(298\) | −3.67917 | + | 0.354801i | −0.213129 | + | 0.0205531i | ||||
\(299\) | 1.98327i | 0.114696i | ||||||||
\(300\) | −8.24819 | − | 30.3286i | −0.476209 | − | 1.75102i | ||||
\(301\) | − | 3.48167i | − | 0.200680i | ||||||
\(302\) | 1.44137 | + | 14.9466i | 0.0829416 | + | 0.860077i | ||||
\(303\) | 14.4869 | + | 19.9396i | 0.832252 | + | 1.14550i | ||||
\(304\) | −4.35042 | + | 17.4917i | −0.249514 | + | 1.00322i | ||||
\(305\) | 25.3728 | + | 23.5788i | 1.45284 | + | 1.35012i | ||||
\(306\) | 40.5901 | − | 35.9216i | 2.32038 | − | 2.05350i | ||||
\(307\) | −29.1918 | −1.66607 | −0.833033 | − | 0.553223i | \(-0.813398\pi\) | ||||
−0.833033 | + | 0.553223i | \(0.813398\pi\) | |||||||
\(308\) | 4.53105 | + | 8.16865i | 0.258180 | + | 0.465452i | ||||
\(309\) | 39.3617 | + | 12.7894i | 2.23921 | + | 0.727563i | ||||
\(310\) | 4.56328 | + | 0.110957i | 0.259177 | + | 0.00630192i | ||||
\(311\) | 0.303724 | + | 0.934766i | 0.0172226 | + | 0.0530057i | 0.959298 | − | 0.282394i | \(-0.0911286\pi\) |
−0.942076 | + | 0.335400i | \(0.891129\pi\) | |||||||
\(312\) | −6.65875 | + | 4.58069i | −0.376978 | + | 0.259330i | ||||
\(313\) | −9.11237 | − | 2.96079i | −0.515062 | − | 0.167354i | 0.0399413 | − | 0.999202i | \(-0.487283\pi\) |
−0.555003 | + | 0.831848i | \(0.687283\pi\) | |||||||
\(314\) | 0.529910 | + | 5.49500i | 0.0299046 | + | 0.310101i | ||||
\(315\) | 3.48163 | + | 17.7479i | 0.196168 | + | 0.999983i | ||||
\(316\) | −3.76196 | + | 4.03655i | −0.211627 | + | 0.227074i | ||||
\(317\) | −14.8949 | − | 10.8218i | −0.836580 | − | 0.607811i | 0.0848334 | − | 0.996395i | \(-0.472964\pi\) |
−0.921413 | + | 0.388584i | \(0.872964\pi\) | |||||||
\(318\) | −56.7034 | − | 12.5622i | −3.17977 | − | 0.704455i | ||||
\(319\) | 20.0003 | + | 14.5311i | 1.11980 | + | 0.813584i | ||||
\(320\) | −15.8164 | − | 8.35718i | −0.884162 | − | 0.467181i | ||||
\(321\) | −17.8171 | + | 12.9449i | −0.994453 | + | 0.722512i | ||||
\(322\) | 3.32657 | − | 1.44700i | 0.185382 | − | 0.0806384i | ||||
\(323\) | 7.75880 | + | 23.8791i | 0.431711 | + | 1.32867i | ||||
\(324\) | 32.0494 | + | 14.9336i | 1.78052 | + | 0.829643i | ||||
\(325\) | 2.93396 | + | 3.47216i | 0.162747 | + | 0.192601i | ||||
\(326\) | −27.1031 | − | 6.00450i | −1.50110 | − | 0.332559i | ||||
\(327\) | −8.07726 | + | 2.62446i | −0.446673 | + | 0.145133i | ||||
\(328\) | −18.0313 | − | 0.464338i | −0.995613 | − | 0.0256388i | ||||
\(329\) | 5.05833 | − | 3.67509i | 0.278875 | − | 0.202614i | ||||
\(330\) | 0.959624 | − | 39.4661i | 0.0528256 | − | 2.17254i | ||||
\(331\) | −4.25106 | + | 5.85108i | −0.233659 | + | 0.321604i | −0.909705 | − | 0.415255i | \(-0.863692\pi\) |
0.676046 | + | 0.736860i | \(0.263692\pi\) | |||||||
\(332\) | −17.1619 | − | 7.99669i | −0.941883 | − | 0.438876i | ||||
\(333\) | 38.9525 | + | 28.3007i | 2.13458 | + | 1.55087i | ||||
\(334\) | 20.5251 | + | 12.0862i | 1.12309 | + | 0.661329i | ||||
\(335\) | −0.815824 | + | 6.74046i | −0.0445733 | + | 0.368271i | ||||
\(336\) | 12.5415 | + | 7.82671i | 0.684195 | + | 0.426982i | ||||
\(337\) | −8.66935 | − | 2.81684i | −0.472250 | − | 0.153443i | 0.0632165 | − | 0.998000i | \(-0.479864\pi\) |
−0.535466 | + | 0.844557i | \(0.679864\pi\) | |||||||
\(338\) | −8.73556 | + | 14.8349i | −0.475152 | + | 0.806914i | ||||
\(339\) | 13.6625 | − | 4.43923i | 0.742047 | − | 0.241106i | ||||
\(340\) | −24.8543 | + | 1.78829i | −1.34791 | + | 0.0969838i | ||||
\(341\) | 5.45277 | + | 1.77171i | 0.295284 | + | 0.0959436i | ||||
\(342\) | −32.8260 | + | 29.0505i | −1.77503 | + | 1.57087i | ||||
\(343\) | 14.8365i | 0.801096i | ||||||||
\(344\) | 2.38202 | + | 8.02876i | 0.128430 | + | 0.432882i | ||||
\(345\) | −15.2202 | − | 1.84216i | −0.819426 | − | 0.0991784i | ||||
\(346\) | 13.2036 | − | 5.74337i | 0.709831 | − | 0.308765i | ||||
\(347\) | 8.27687 | − | 6.01350i | 0.444326 | − | 0.322821i | −0.343026 | − | 0.939326i | \(-0.611452\pi\) |
0.787351 | + | 0.616505i | \(0.211452\pi\) | |||||||
\(348\) | 38.8344 | + | 4.75686i | 2.08174 | + | 0.254994i | ||||
\(349\) | − | 4.76436i | − | 0.255030i | −0.991837 | − | 0.127515i | \(-0.959300\pi\) | ||
0.991837 | − | 0.127515i | \(-0.0407001\pi\) | |||||||
\(350\) | 3.68326 | − | 7.45446i | 0.196879 | − | 0.398458i | ||||
\(351\) | −11.0829 | −0.591562 | ||||||||
\(352\) | −16.0373 | − | 15.7370i | −0.854790 | − | 0.838786i | ||||
\(353\) | −10.7305 | − | 14.7692i | −0.571126 | − | 0.786087i | 0.421562 | − | 0.906800i | \(-0.361482\pi\) |
−0.992687 | + | 0.120713i | \(0.961482\pi\) | |||||||
\(354\) | 2.27952 | + | 5.24046i | 0.121155 | + | 0.278527i | ||||
\(355\) | −3.96608 | − | 1.84109i | −0.210498 | − | 0.0977149i | ||||
\(356\) | −2.53320 | − | 4.56691i | −0.134260 | − | 0.242046i | ||||
\(357\) | 20.5930 | 1.08990 | ||||||||
\(358\) | 15.9940 | − | 14.1544i | 0.845309 | − | 0.748084i | ||||
\(359\) | 5.64467 | − | 17.3725i | 0.297914 | − | 0.916885i | −0.684313 | − | 0.729188i | \(-0.739898\pi\) |
0.982227 | − | 0.187697i | \(-0.0601022\pi\) | |||||||
\(360\) | −20.1711 | − | 38.5449i | −1.06311 | − | 2.03150i | ||||
\(361\) | −0.403370 | − | 1.24145i | −0.0212300 | − | 0.0653393i | ||||
\(362\) | 23.0581 | + | 13.5778i | 1.21191 | + | 0.713633i | ||||
\(363\) | 4.63917 | − | 14.2779i | 0.243493 | − | 0.749396i | ||||
\(364\) | −2.12226 | − | 0.259958i | −0.111237 | − | 0.0136255i | ||||
\(365\) | 6.91695 | + | 6.42789i | 0.362050 | + | 0.336451i | ||||
\(366\) | 59.3305 | + | 34.9368i | 3.10125 | + | 1.82617i | ||||
\(367\) | 8.85005 | − | 12.1811i | 0.461969 | − | 0.635846i | −0.512947 | − | 0.858421i | \(-0.671446\pi\) |
0.974916 | + | 0.222575i | \(0.0714461\pi\) | |||||||
\(368\) | −6.68111 | + | 5.61270i | −0.348277 | + | 0.292582i | ||||
\(369\) | −35.4880 | − | 25.7835i | −1.84743 | − | 1.34224i | ||||
\(370\) | −6.32636 | − | 21.2117i | −0.328892 | − | 1.10274i | ||||
\(371\) | −9.03100 | − | 12.4301i | −0.468866 | − | 0.645339i | ||||
\(372\) | 8.90644 | − | 1.73391i | 0.461777 | − | 0.0898991i | ||||
\(373\) | 0.219092 | + | 0.674295i | 0.0113441 | + | 0.0349137i | 0.956568 | − | 0.291508i | \(-0.0941570\pi\) |
−0.945224 | + | 0.326422i | \(0.894157\pi\) | |||||||
\(374\) | −30.5579 | − | 6.76988i | −1.58011 | − | 0.350062i | ||||
\(375\) | −29.3715 | + | 19.2909i | −1.51674 | + | 0.996176i | ||||
\(376\) | −9.15020 | + | 11.9355i | −0.471886 | + | 0.615526i | ||||
\(377\) | −5.38166 | + | 1.74861i | −0.277170 | + | 0.0900579i | ||||
\(378\) | 8.08615 | + | 18.5895i | 0.415907 | + | 0.956141i | ||||
\(379\) | −10.8210 | − | 14.8938i | −0.555838 | − | 0.765045i | 0.434952 | − | 0.900454i | \(-0.356765\pi\) |
−0.990790 | + | 0.135408i | \(0.956765\pi\) | |||||||
\(380\) | 20.1001 | − | 1.44623i | 1.03111 | − | 0.0741899i | ||||
\(381\) | −15.9437 | + | 21.9446i | −0.816821 | + | 1.12426i | ||||
\(382\) | −3.09416 | − | 0.685490i | −0.158311 | − | 0.0350727i | ||||
\(383\) | −10.5490 | + | 14.5194i | −0.539027 | + | 0.741907i | −0.988472 | − | 0.151401i | \(-0.951622\pi\) |
0.449445 | + | 0.893308i | \(0.351622\pi\) | |||||||
\(384\) | −34.2755 | − | 9.46808i | −1.74912 | − | 0.483166i | ||||
\(385\) | 7.10942 | − | 7.65034i | 0.362330 | − | 0.389897i | ||||
\(386\) | −31.9476 | + | 3.08087i | −1.62609 | + | 0.156812i | ||||
\(387\) | −6.29365 | + | 19.3699i | −0.319924 | + | 0.984625i | ||||
\(388\) | 0.426567 | + | 0.397550i | 0.0216557 | + | 0.0201825i | ||||
\(389\) | −22.7077 | + | 7.37819i | −1.15133 | + | 0.374089i | −0.821643 | − | 0.570002i | \(-0.806942\pi\) |
−0.329685 | + | 0.944091i | \(0.606942\pi\) | |||||||
\(390\) | 7.17914 | + | 5.48745i | 0.363530 | + | 0.277868i | ||||
\(391\) | −3.75608 | + | 11.5600i | −0.189953 | + | 0.584616i | ||||
\(392\) | −4.51907 | − | 15.2319i | −0.228248 | − | 0.769325i | ||||
\(393\) | − | 27.3377i | − | 1.37900i | ||||||
\(394\) | 12.1677 | + | 13.7491i | 0.613002 | + | 0.692671i | ||||
\(395\) | 5.59558 | + | 2.59752i | 0.281544 | + | 0.130695i | ||||
\(396\) | −10.4419 | − | 53.6359i | −0.524723 | − | 2.69530i | ||||
\(397\) | −1.16804 | + | 0.848630i | −0.0586222 | + | 0.0425915i | −0.616710 | − | 0.787190i | \(-0.711535\pi\) |
0.558088 | + | 0.829782i | \(0.311535\pi\) | |||||||
\(398\) | −2.47291 | − | 25.6433i | −0.123956 | − | 1.28538i | ||||
\(399\) | −16.6539 | −0.833740 | ||||||||
\(400\) | −3.39359 | + | 19.7100i | −0.169680 | + | 0.985499i | ||||
\(401\) | −26.0682 | −1.30178 | −0.650891 | − | 0.759171i | \(-0.725605\pi\) | ||||
−0.650891 | + | 0.759171i | \(0.725605\pi\) | |||||||
\(402\) | 1.29553 | + | 13.4343i | 0.0646154 | + | 0.670041i | ||||
\(403\) | −1.06170 | + | 0.771367i | −0.0528868 | + | 0.0384245i | ||||
\(404\) | −2.99699 | − | 15.3944i | −0.149106 | − | 0.765901i | ||||
\(405\) | 4.74996 | − | 39.2448i | 0.236027 | − | 1.95009i | ||||
\(406\) | 6.85945 | + | 7.75094i | 0.340429 | + | 0.384672i | ||||
\(407\) | − | 27.8026i | − | 1.37813i | ||||||
\(408\) | −47.4876 | + | 14.0889i | −2.35099 | + | 0.697503i | ||||
\(409\) | 0.312601 | − | 0.962088i | 0.0154571 | − | 0.0475722i | −0.943030 | − | 0.332706i | \(-0.892038\pi\) |
0.958488 | + | 0.285134i | \(0.0920382\pi\) | |||||||
\(410\) | 5.76368 | + | 19.3251i | 0.284648 | + | 0.954399i | ||||
\(411\) | 10.8918 | − | 3.53897i | 0.537254 | − | 0.174564i | ||||
\(412\) | −19.2662 | − | 17.9556i | −0.949176 | − | 0.884608i | ||||
\(413\) | −0.467180 | + | 1.43783i | −0.0229884 | + | 0.0707512i | ||||
\(414\) | −21.1226 | + | 2.03696i | −1.03812 | + | 0.100111i | ||||
\(415\) | −2.54353 | + | 21.0150i | −0.124857 | + | 1.03158i | ||||
\(416\) | 5.07180 | − | 0.852499i | 0.248665 | − | 0.0417972i | ||||
\(417\) | 25.8025 | − | 35.5140i | 1.26355 | − | 1.73913i | ||||
\(418\) | 24.7127 | + | 5.47494i | 1.20874 | + | 0.267788i | ||||
\(419\) | 19.6696 | − | 27.0728i | 0.960920 | − | 1.32259i | 0.0144183 | − | 0.999896i | \(-0.495410\pi\) |
0.946502 | − | 0.322697i | \(-0.104590\pi\) | |||||||
\(420\) | 3.96624 | − | 16.0453i | 0.193533 | − | 0.782931i | ||||
\(421\) | 16.1696 | + | 22.2556i | 0.788060 | + | 1.08467i | 0.994347 | + | 0.106180i | \(0.0338621\pi\) |
−0.206287 | + | 0.978492i | \(0.566138\pi\) | |||||||
\(422\) | 0.991136 | + | 2.27856i | 0.0482478 | + | 0.110918i | ||||
\(423\) | −34.7847 | + | 11.3022i | −1.69129 | + | 0.549533i | ||||
\(424\) | 29.3297 | + | 22.4853i | 1.42438 | + | 1.09198i | ||||
\(425\) | 10.5255 | + | 25.7949i | 0.510562 | + | 1.25124i | ||||
\(426\) | −8.48612 | − | 1.88004i | −0.411154 | − | 0.0910883i | ||||
\(427\) | 5.62868 | + | 17.3233i | 0.272391 | + | 0.838333i | ||||
\(428\) | 13.7558 | − | 2.67798i | 0.664909 | − | 0.129445i | ||||
\(429\) | 6.67126 | + | 9.18220i | 0.322092 | + | 0.443321i | ||||
\(430\) | 7.70650 | − | 5.31777i | 0.371640 | − | 0.256446i | ||||
\(431\) | 21.6348 | + | 15.7186i | 1.04211 | + | 0.757138i | 0.970696 | − | 0.240309i | \(-0.0772488\pi\) |
0.0714143 | + | 0.997447i | \(0.477249\pi\) | |||||||
\(432\) | −31.3649 | − | 37.3354i | −1.50904 | − | 1.79630i | ||||
\(433\) | −12.1996 | + | 16.7912i | −0.586273 | + | 0.806936i | −0.994366 | − | 0.106005i | \(-0.966194\pi\) |
0.408092 | + | 0.912941i | \(0.366194\pi\) | |||||||
\(434\) | 2.06844 | + | 1.21800i | 0.0992883 | + | 0.0584659i | ||||
\(435\) | −8.42055 | − | 42.9245i | −0.403734 | − | 2.05807i | ||||
\(436\) | 5.36422 | + | 0.657069i | 0.256900 | + | 0.0314679i | ||||
\(437\) | 3.03762 | − | 9.34882i | 0.145309 | − | 0.447215i | ||||
\(438\) | 16.1742 | + | 9.52421i | 0.772835 | + | 0.455084i | ||||
\(439\) | 0.0935999 | + | 0.288071i | 0.00446728 | + | 0.0137489i | 0.953265 | − | 0.302134i | \(-0.0976992\pi\) |
−0.948798 | + | 0.315883i | \(0.897699\pi\) | |||||||
\(440\) | −11.1603 | + | 22.5057i | −0.532048 | + | 1.07292i | ||||
\(441\) | 11.9401 | − | 36.7478i | 0.568575 | − | 1.74989i | ||||
\(442\) | 5.36487 | − | 4.74782i | 0.255181 | − | 0.225831i | ||||
\(443\) | 33.9046 | 1.61086 | 0.805428 | − | 0.592693i | \(-0.201935\pi\) | ||||
0.805428 | + | 0.592693i | \(0.201935\pi\) | |||||||
\(444\) | −21.3430 | − | 38.4775i | −1.01289 | − | 1.82606i | ||||
\(445\) | −3.97472 | + | 4.27713i | −0.188420 | + | 0.202755i | ||||
\(446\) | −0.879205 | − | 2.02123i | −0.0416316 | − | 0.0957082i | ||||
\(447\) | 4.82848 | + | 6.64583i | 0.228379 | + | 0.314337i | ||||
\(448\) | −5.13031 | − | 7.88500i | −0.242384 | − | 0.372531i | ||||
\(449\) | −12.6049 | −0.594860 | −0.297430 | − | 0.954744i | \(-0.596129\pi\) | ||||
−0.297430 | + | 0.954744i | \(0.596129\pi\) | |||||||
\(450\) | −33.9664 | + | 34.8139i | −1.60119 | + | 1.64114i | ||||
\(451\) | 25.3298i | 1.19273i | ||||||||
\(452\) | −9.07348 | − | 1.11142i | −0.426781 | − | 0.0522768i | ||||
\(453\) | 26.9986 | − | 19.6156i | 1.26850 | − | 0.921621i | ||||
\(454\) | −11.9597 | + | 5.20226i | −0.561295 | + | 0.244154i | ||||
\(455\) | 0.460174 | + | 2.34578i | 0.0215733 | + | 0.109972i | ||||
\(456\) | 38.4041 | − | 11.3939i | 1.79844 | − | 0.533571i | ||||
\(457\) | 2.58934i | 0.121124i | 0.998164 | + | 0.0605622i | \(0.0192893\pi\) | ||||
−0.998164 | + | 0.0605622i | \(0.980711\pi\) | |||||||
\(458\) | 11.9651 | − | 10.5889i | 0.559091 | − | 0.494786i | ||||
\(459\) | −64.5997 | − | 20.9897i | −3.01526 | − | 0.979716i | ||||
\(460\) | 8.28374 | + | 5.15308i | 0.386231 | + | 0.240264i | ||||
\(461\) | −6.49523 | + | 2.11043i | −0.302513 | + | 0.0982925i | −0.456340 | − | 0.889805i | \(-0.650840\pi\) |
0.153827 | + | 0.988098i | \(0.450840\pi\) | |||||||
\(462\) | 10.5340 | − | 17.8892i | 0.490088 | − | 0.832279i | ||||
\(463\) | 20.7530 | + | 6.74304i | 0.964472 | + | 0.313376i | 0.748582 | − | 0.663042i | \(-0.230735\pi\) |
0.215889 | + | 0.976418i | \(0.430735\pi\) | |||||||
\(464\) | −21.1208 | − | 13.1808i | −0.980509 | − | 0.611902i | ||||
\(465\) | −4.93352 | − | 8.86421i | −0.228787 | − | 0.411068i | ||||
\(466\) | −15.1489 | − | 8.92045i | −0.701761 | − | 0.413232i | ||||
\(467\) | −2.43118 | − | 1.76636i | −0.112502 | − | 0.0817373i | 0.530112 | − | 0.847928i | \(-0.322150\pi\) |
−0.642614 | + | 0.766190i | \(0.722150\pi\) | |||||||
\(468\) | 11.3370 | + | 5.28254i | 0.524054 | + | 0.244186i | ||||
\(469\) | −2.09868 | + | 2.88859i | −0.0969081 | + | 0.133383i | ||||
\(470\) | 15.8605 | + | 5.58315i | 0.731591 | + | 0.257532i | ||||
\(471\) | 9.92583 | − | 7.21154i | 0.457358 | − | 0.332290i | ||||
\(472\) | 0.0936149 | − | 3.63528i | 0.00430898 | − | 0.167327i | ||||
\(473\) | 11.1850 | − | 3.63421i | 0.514285 | − | 0.167101i | ||||
\(474\) | 11.9727 | + | 2.65247i | 0.549926 | + | 0.121832i | ||||
\(475\) | −8.51217 | − | 20.8609i | −0.390565 | − | 0.957163i | ||||
\(476\) | −11.8778 | − | 5.53453i | −0.544419 | − | 0.253675i | ||||
\(477\) | 27.7736 | + | 85.4782i | 1.27166 | + | 3.91378i | ||||
\(478\) | 35.8380 | − | 15.5890i | 1.63919 | − | 0.713022i | ||||
\(479\) | 15.3717 | − | 11.1682i | 0.702349 | − | 0.510287i | −0.178347 | − | 0.983968i | \(-0.557075\pi\) |
0.880697 | + | 0.473681i | \(0.157075\pi\) | |||||||
\(480\) | 1.83138 | + | 39.7142i | 0.0835905 | + | 1.81270i | ||||
\(481\) | 5.14843 | + | 3.74055i | 0.234748 | + | 0.170555i | ||||
\(482\) | −5.91444 | − | 1.31030i | −0.269395 | − | 0.0596827i | ||||
\(483\) | −6.52251 | − | 4.73888i | −0.296785 | − | 0.215627i | ||||
\(484\) | −6.51313 | + | 6.98853i | −0.296051 | + | 0.317661i | ||||
\(485\) | 0.274496 | − | 0.591320i | 0.0124642 | − | 0.0268504i | ||||
\(486\) | −2.57843 | − | 26.7375i | −0.116960 | − | 1.21284i | ||||
\(487\) | −1.80539 | − | 0.586607i | −0.0818101 | − | 0.0265817i | 0.267826 | − | 0.963467i | \(-0.413695\pi\) |
−0.349636 | + | 0.936886i | \(0.613695\pi\) | |||||||
\(488\) | −24.8317 | − | 36.0967i | −1.12408 | − | 1.63402i | ||||
\(489\) | 19.0651 | + | 58.6762i | 0.862151 | + | 2.65343i | ||||
\(490\) | −14.6205 | + | 10.0887i | −0.660486 | + | 0.455760i | ||||
\(491\) | −29.3750 | − | 9.54451i | −1.32567 | − | 0.430738i | −0.441234 | − | 0.897392i | \(-0.645459\pi\) |
−0.884440 | + | 0.466654i | \(0.845459\pi\) | |||||||
\(492\) | 19.4447 | + | 35.0552i | 0.876634 | + | 1.58041i | ||||
\(493\) | −34.6801 | −1.56191 | ||||||||
\(494\) | −4.33868 | + | 3.83966i | −0.195206 | + | 0.172754i | ||||
\(495\) | −53.3816 | + | 29.7104i | −2.39932 | + | 1.33538i | ||||
\(496\) | −5.60315 | − | 1.39358i | −0.251589 | − | 0.0625735i | ||||
\(497\) | −1.35156 | − | 1.86027i | −0.0606258 | − | 0.0834443i | ||||
\(498\) | 4.03913 | + | 41.8845i | 0.180998 | + | 1.87689i | ||||
\(499\) | − | 10.5948i | − | 0.474289i | −0.971474 | − | 0.237145i | \(-0.923788\pi\) | ||
0.971474 | − | 0.237145i | \(-0.0762115\pi\) | |||||||
\(500\) | 22.1257 | − | 3.23295i | 0.989493 | − | 0.144582i | ||||
\(501\) | − | 52.9371i | − | 2.36506i | ||||||
\(502\) | −18.8629 | + | 1.81905i | −0.841894 | + | 0.0811881i | ||||
\(503\) | 15.5618 | + | 21.4189i | 0.693865 | + | 0.955024i | 0.999995 | + | 0.00303389i | \(0.000965720\pi\) |
−0.306130 | + | 0.951990i | \(0.599034\pi\) | |||||||
\(504\) | 0.588940 | − | 22.8699i | 0.0262335 | − | 1.01871i | ||||
\(505\) | −15.3214 | + | 8.52739i | −0.681794 | + | 0.379464i | ||||
\(506\) | 8.12085 | + | 9.17628i | 0.361016 | + | 0.407935i | ||||
\(507\) | 38.2613 | 1.69925 | ||||||||
\(508\) | 15.0940 | − | 8.37243i | 0.669687 | − | 0.371467i | ||||
\(509\) | −17.5095 | − | 5.68919i | −0.776096 | − | 0.252169i | −0.105923 | − | 0.994374i | \(-0.533780\pi\) |
−0.670172 | + | 0.742205i | \(0.733780\pi\) | |||||||
\(510\) | 31.4529 | + | 45.5815i | 1.39276 | + | 2.01838i | ||||
\(511\) | 1.53445 | + | 4.72255i | 0.0678800 | + | 0.208913i | ||||
\(512\) | 17.2251 | + | 14.6729i | 0.761251 | + | 0.648458i | ||||
\(513\) | 52.2431 | + | 16.9748i | 2.30659 | + | 0.749456i | ||||
\(514\) | 11.0067 | − | 1.06143i | 0.485483 | − | 0.0468176i | ||||
\(515\) | −12.3978 | + | 26.7073i | −0.546311 | + | 1.17686i | ||||
\(516\) | 12.6896 | − | 13.6158i | 0.558628 | − | 0.599403i | ||||
\(517\) | 17.0863 | + | 12.4139i | 0.751453 | + | 0.545963i | ||||
\(518\) | 2.51776 | − | 11.3646i | 0.110624 | − | 0.499334i | ||||
\(519\) | −25.8888 | − | 18.8093i | −1.13639 | − | 0.825637i | ||||
\(520\) | −2.66605 | − | 5.09456i | −0.116914 | − | 0.223411i | ||||
\(521\) | 32.7039 | − | 23.7608i | 1.43278 | − | 1.04098i | 0.443295 | − | 0.896376i | \(-0.353809\pi\) |
0.989490 | − | 0.144603i | \(-0.0461906\pi\) | |||||||
\(522\) | −24.1507 | − | 55.5209i | −1.05705 | − | 2.43008i | ||||
\(523\) | 5.37852 | + | 16.5534i | 0.235186 | + | 0.723828i | 0.997097 | + | 0.0761461i | \(0.0242615\pi\) |
−0.761911 | + | 0.647682i | \(0.775738\pi\) | |||||||
\(524\) | −7.34723 | + | 15.7681i | −0.320965 | + | 0.688832i | ||||
\(525\) | −18.4296 | + | 1.35263i | −0.804333 | + | 0.0590336i | ||||
\(526\) | 8.39400 | − | 37.8888i | 0.365996 | − | 1.65203i | ||||
\(527\) | −7.64925 | + | 2.48539i | −0.333206 | + | 0.108265i | ||||
\(528\) | −12.0525 | + | 48.4595i | −0.524520 | + | 2.10893i | ||||
\(529\) | −14.7575 | + | 10.7220i | −0.641630 | + | 0.466172i | ||||
\(530\) | 13.7198 | − | 38.9749i | 0.595949 | − | 1.69296i | ||||
\(531\) | 5.19820 | − | 7.15471i | 0.225583 | − | 0.310488i | ||||
\(532\) | 9.60582 | + | 4.47589i | 0.416465 | + | 0.194054i | ||||
\(533\) | −4.69052 | − | 3.40786i | −0.203169 | − | 0.147611i | ||||
\(534\) | −5.88934 | + | 10.0014i | −0.254857 | + | 0.432804i | ||||
\(535\) | −7.61969 | − | 13.6905i | −0.329428 | − | 0.591893i | ||||
\(536\) | 2.86332 | − | 8.09693i | 0.123677 | − | 0.349734i | ||||
\(537\) | −45.1434 | − | 14.6680i | −1.94808 | − | 0.632970i | ||||
\(538\) | −26.0004 | − | 15.3104i | −1.12096 | − | 0.660076i | ||||
\(539\) | −21.2197 | + | 6.89469i | −0.913996 | + | 0.296975i | ||||
\(540\) | −28.7964 | + | 46.2912i | −1.23920 | + | 1.99205i | ||||
\(541\) | 7.69917 | + | 2.50161i | 0.331013 | + | 0.107553i | 0.469808 | − | 0.882768i | \(-0.344323\pi\) |
−0.138795 | + | 0.990321i | \(0.544323\pi\) | |||||||
\(542\) | 1.00136 | + | 1.13150i | 0.0430120 | + | 0.0486020i | ||||
\(543\) | − | 59.4701i | − | 2.55211i | ||||||
\(544\) | 31.1768 | + | 4.63637i | 1.33670 | + | 0.198783i | ||||
\(545\) | −1.16314 | − | 5.92920i | −0.0498233 | − | 0.253979i | ||||
\(546\) | 1.89543 | + | 4.35747i | 0.0811170 | + | 0.186483i | ||||
\(547\) | −20.7126 | + | 15.0486i | −0.885607 | + | 0.643431i | −0.934729 | − | 0.355362i | \(-0.884358\pi\) |
0.0491221 | + | 0.998793i | \(0.484358\pi\) | |||||||
\(548\) | −7.23342 | − | 0.886029i | −0.308996 | − | 0.0378493i | ||||
\(549\) | − | 106.551i | − | 4.54747i | ||||||
\(550\) | 27.7923 | + | 4.05151i | 1.18507 | + | 0.172757i | ||||
\(551\) | 28.0465 | 1.19482 | ||||||||
\(552\) | 18.2831 | + | 6.46547i | 0.778181 | + | 0.275189i | ||||
\(553\) | 1.90686 | + | 2.62457i | 0.0810881 | + | 0.111608i | ||||
\(554\) | 23.0229 | − | 10.0146i | 0.978151 | − | 0.425480i | ||||
\(555\) | −33.4881 | + | 36.0360i | −1.42149 | + | 1.52964i | ||||
\(556\) | −24.4273 | + | 13.5495i | −1.03595 | + | 0.574627i | ||||
\(557\) | 1.74254 | 0.0738336 | 0.0369168 | − | 0.999318i | \(-0.488246\pi\) | ||||
0.0369168 | + | 0.999318i | \(0.488246\pi\) | |||||||
\(558\) | −9.30579 | − | 10.5152i | −0.393946 | − | 0.445145i | ||||
\(559\) | −0.831844 | + | 2.56015i | −0.0351832 | + | 0.108283i | ||||
\(560\) | −6.60000 | + | 8.18881i | −0.278901 | + | 0.346041i | ||||
\(561\) | 21.4952 | + | 66.1555i | 0.907529 | + | 2.79309i | ||||
\(562\) | 7.78660 | − | 13.2234i | 0.328458 | − | 0.557796i | ||||
\(563\) | 7.94233 | − | 24.4440i | 0.334729 | − | 1.03019i | −0.632126 | − | 0.774866i | \(-0.717817\pi\) |
0.966855 | − | 0.255325i | \(-0.0821826\pi\) | |||||||
\(564\) | 33.1762 | + | 4.06379i | 1.39697 | + | 0.171116i | ||||
\(565\) | 1.96742 | + | 10.0291i | 0.0827702 | + | 0.421929i | ||||
\(566\) | 16.6665 | − | 28.3035i | 0.700546 | − | 1.18968i | ||||
\(567\) | 12.2191 | − | 16.8181i | 0.513154 | − | 0.706296i | ||||
\(568\) | 4.38943 | + | 3.36510i | 0.184176 | + | 0.141197i | ||||
\(569\) | −11.5604 | − | 8.39915i | −0.484639 | − | 0.352111i | 0.318480 | − | 0.947930i | \(-0.396828\pi\) |
−0.803119 | + | 0.595819i | \(0.796828\pi\) | |||||||
\(570\) | −25.4366 | − | 36.8626i | −1.06542 | − | 1.54401i | ||||
\(571\) | −11.7151 | − | 16.1245i | −0.490263 | − | 0.674789i | 0.490174 | − | 0.871625i | \(-0.336933\pi\) |
−0.980436 | + | 0.196836i | \(0.936933\pi\) | |||||||
\(572\) | −1.38012 | − | 7.08916i | −0.0577057 | − | 0.296413i | ||||
\(573\) | 2.17652 | + | 6.69863i | 0.0909253 | + | 0.279839i | ||||
\(574\) | −2.29382 | + | 10.3539i | −0.0957424 | + | 0.432162i | ||||
\(575\) | 2.60218 | − | 10.5923i | 0.108518 | − | 0.441729i | ||||
\(576\) | 14.2885 | + | 53.1410i | 0.595356 | + | 2.21421i | ||||
\(577\) | 14.6528 | − | 4.76100i | 0.610006 | − | 0.198203i | 0.0123079 | − | 0.999924i | \(-0.496082\pi\) |
0.597698 | + | 0.801721i | \(0.296082\pi\) | |||||||
\(578\) | 18.2162 | − | 7.92375i | 0.757692 | − | 0.329584i | ||||
\(579\) | 41.9275 | + | 57.7083i | 1.74245 | + | 2.39827i | ||||
\(580\) | −6.67944 | + | 27.0215i | −0.277349 | + | 1.12201i | ||||
\(581\) | −6.54313 | + | 9.00585i | −0.271455 | + | 0.373626i | ||||
\(582\) | 0.280303 | − | 1.26523i | 0.0116189 | − | 0.0524456i | ||||
\(583\) | 30.5054 | − | 41.9870i | 1.26340 | − | 1.73892i | ||||
\(584\) | −6.76943 | − | 9.84043i | −0.280121 | − | 0.407200i | ||||
\(585\) | 1.68023 | − | 13.8823i | 0.0694690 | − | 0.573963i | ||||
\(586\) | 3.19872 | + | 33.1697i | 0.132138 | + | 1.37023i | ||||
\(587\) | 4.25364 | − | 13.0914i | 0.175567 | − | 0.540338i | −0.824092 | − | 0.566455i | \(-0.808314\pi\) |
0.999659 | + | 0.0261173i | \(0.00831433\pi\) | |||||||
\(588\) | −24.0742 | + | 25.8314i | −0.992804 | + | 1.06527i | ||||
\(589\) | 6.18610 | − | 2.00998i | 0.254894 | − | 0.0828200i | ||||
\(590\) | −3.89612 | + | 1.16201i | −0.160401 | + | 0.0478393i | ||||
\(591\) | 12.6092 | − | 38.8072i | 0.518675 | − | 1.59632i | ||||
\(592\) | 1.96926 | + | 27.9295i | 0.0809360 | + | 1.14790i | ||||
\(593\) | 6.37493i | 0.261787i | 0.991396 | + | 0.130894i | \(0.0417846\pi\) | ||||
−0.991396 | + | 0.130894i | \(0.958215\pi\) | |||||||
\(594\) | −51.2789 | + | 45.3809i | −2.10400 | + | 1.86200i | ||||
\(595\) | −1.76038 | + | 14.5445i | −0.0721686 | + | 0.596267i | ||||
\(596\) | −0.998894 | − | 5.13094i | −0.0409163 | − | 0.210172i | ||||
\(597\) | −46.3205 | + | 33.6538i | −1.89577 | + | 1.37736i | ||||
\(598\) | −2.79182 | + | 0.269229i | −0.114166 | + | 0.0110096i | ||||
\(599\) | 38.8351 | 1.58676 | 0.793380 | − | 0.608727i | \(-0.208319\pi\) | ||||
0.793380 | + | 0.608727i | \(0.208319\pi\) | |||||||
\(600\) | 41.5734 | − | 15.7279i | 1.69723 | − | 0.642090i | ||||
\(601\) | 41.0478 | 1.67438 | 0.837188 | − | 0.546916i | \(-0.184198\pi\) | ||||
0.837188 | + | 0.546916i | \(0.184198\pi\) | |||||||
\(602\) | 4.90109 | − | 0.472637i | 0.199754 | − | 0.0192632i | ||||
\(603\) | 16.8973 | − | 12.2766i | 0.688112 | − | 0.499942i | ||||
\(604\) | −20.8443 | + | 4.05799i | −0.848144 | + | 0.165117i | ||||
\(605\) | 9.68770 | + | 4.49712i | 0.393861 | + | 0.182834i | ||||
\(606\) | −26.1020 | + | 23.0998i | −1.06032 | + | 0.938365i | ||||
\(607\) | 28.6948i | 1.16469i | 0.812943 | + | 0.582343i | \(0.197864\pi\) | ||||
−0.812943 | + | 0.582343i | \(0.802136\pi\) | |||||||
\(608\) | −25.2133 | − | 3.74952i | −1.02254 | − | 0.152063i | ||||
\(609\) | 7.10833 | − | 21.8772i | 0.288044 | − | 0.886509i | ||||
\(610\) | −29.7472 | + | 38.9177i | −1.20443 | + | 1.57573i | ||||
\(611\) | −4.59756 | + | 1.49384i | −0.185997 | + | 0.0604342i | ||||
\(612\) | 56.0763 | + | 52.2617i | 2.26675 | + | 2.11255i | ||||
\(613\) | 2.30831 | − | 7.10423i | 0.0932316 | − | 0.286937i | −0.893557 | − | 0.448949i | \(-0.851798\pi\) |
0.986789 | + | 0.162012i | \(0.0517983\pi\) | |||||||
\(614\) | −3.96279 | − | 41.0929i | −0.159925 | − | 1.65837i | ||||
\(615\) | 30.5096 | − | 32.8309i | 1.23027 | − | 1.32387i | ||||
\(616\) | −10.8838 | + | 7.48717i | −0.438520 | + | 0.301667i | ||||
\(617\) | −23.8187 | + | 32.7837i | −0.958906 | + | 1.31982i | −0.0114498 | + | 0.999934i | \(0.503645\pi\) |
−0.947456 | + | 0.319886i | \(0.896355\pi\) | |||||||
\(618\) | −12.6601 | + | 57.1450i | −0.509263 | + | 2.29871i | ||||
\(619\) | 5.89273 | − | 8.11065i | 0.236849 | − | 0.325994i | −0.674003 | − | 0.738729i | \(-0.735426\pi\) |
0.910851 | + | 0.412735i | \(0.135426\pi\) | |||||||
\(620\) | 0.463273 | + | 6.43871i | 0.0186055 | + | 0.258585i | ||||
\(621\) | 15.6308 | + | 21.5140i | 0.627242 | + | 0.863325i | ||||
\(622\) | −1.27462 | + | 0.554441i | −0.0511077 | + | 0.0222311i | ||||
\(623\) | −2.92021 | + | 0.948834i | −0.116996 | + | 0.0380142i | ||||
\(624\) | −7.35208 | − | 8.75159i | −0.294319 | − | 0.350344i | ||||
\(625\) | −11.1141 | − | 22.3937i | −0.444562 | − | 0.895748i | ||||
\(626\) | 2.93085 | − | 13.2293i | 0.117140 | − | 0.528748i | ||||
\(627\) | −17.3836 | − | 53.5012i | −0.694234 | − | 2.13663i | ||||
\(628\) | −7.66328 | + | 1.49189i | −0.305798 | + | 0.0595329i | ||||
\(629\) | 22.9248 | + | 31.5533i | 0.914073 | + | 1.25811i | ||||
\(630\) | −24.5109 | + | 7.31032i | −0.976536 | + | 0.291250i | ||||
\(631\) | −24.4964 | − | 17.7976i | −0.975184 | − | 0.708513i | −0.0185571 | − | 0.999828i | \(-0.505907\pi\) |
−0.956627 | + | 0.291315i | \(0.905907\pi\) | |||||||
\(632\) | −6.19287 | − | 4.74769i | −0.246339 | − | 0.188853i | ||||
\(633\) | 3.24593 | − | 4.46765i | 0.129014 | − | 0.177573i | ||||
\(634\) | 13.2116 | − | 22.4363i | 0.524701 | − | 0.891060i | ||||
\(635\) | −14.1362 | − | 13.1367i | −0.560979 | − | 0.521316i | ||||
\(636\) | 9.98617 | − | 81.5257i | 0.395977 | − | 3.23271i | ||||
\(637\) | 1.57814 | − | 4.85702i | 0.0625283 | − | 0.192442i | ||||
\(638\) | −17.7401 | + | 30.1267i | −0.702337 | + | 1.19273i | ||||
\(639\) | 4.15654 | + | 12.7925i | 0.164430 | + | 0.506064i | ||||
\(640\) | 9.61720 | − | 23.3989i | 0.380153 | − | 0.924924i | ||||
\(641\) | −12.1688 | + | 37.4516i | −0.480637 | + | 1.47925i | 0.357564 | + | 0.933889i | \(0.383607\pi\) |
−0.838201 | + | 0.545361i | \(0.816393\pi\) | |||||||
\(642\) | −20.6409 | − | 23.3235i | −0.814633 | − | 0.920507i | ||||
\(643\) | 15.6623 | 0.617660 | 0.308830 | − | 0.951117i | \(-0.400063\pi\) | ||||
0.308830 | + | 0.951117i | \(0.400063\pi\) | |||||||
\(644\) | 2.48850 | + | 4.48632i | 0.0980608 | + | 0.176786i | ||||
\(645\) | −18.8746 | − | 8.76178i | −0.743188 | − | 0.344995i | ||||
\(646\) | −32.5610 | + | 14.1635i | −1.28110 | + | 0.557256i | ||||
\(647\) | 19.5134 | + | 26.8579i | 0.767152 | + | 1.05589i | 0.996585 | + | 0.0825693i | \(0.0263126\pi\) |
−0.229434 | + | 0.973324i | \(0.573687\pi\) | |||||||
\(648\) | −16.6711 | + | 47.1426i | −0.654901 | + | 1.85194i | ||||
\(649\) | −5.10673 | −0.200457 | ||||||||
\(650\) | −4.48941 | + | 4.60143i | −0.176089 | + | 0.180483i | ||||
\(651\) | − | 5.33479i | − | 0.209087i | ||||||
\(652\) | 4.77319 | − | 38.9677i | 0.186933 | − | 1.52609i | ||||
\(653\) | −3.13976 | + | 2.28117i | −0.122868 | + | 0.0892690i | −0.647522 | − | 0.762047i | \(-0.724195\pi\) |
0.524654 | + | 0.851316i | \(0.324195\pi\) | |||||||
\(654\) | −4.79090 | − | 11.0139i | −0.187339 | − | 0.430680i | ||||
\(655\) | 19.3082 | + | 2.33695i | 0.754434 | + | 0.0913121i | ||||
\(656\) | −1.79411 | − | 25.4454i | −0.0700482 | − | 0.993477i | ||||
\(657\) | − | 29.0471i | − | 1.13323i | ||||||
\(658\) | 5.86003 | + | 6.62163i | 0.228448 | + | 0.258138i | ||||
\(659\) | 38.7539 | + | 12.5919i | 1.50964 | + | 0.490511i | 0.942811 | − | 0.333327i | \(-0.108171\pi\) |
0.566826 | + | 0.823838i | \(0.308171\pi\) | |||||||
\(660\) | 55.6860 | − | 4.00667i | 2.16758 | − | 0.155960i | ||||
\(661\) | 35.9253 | − | 11.6728i | 1.39733 | − | 0.454020i | 0.489004 | − | 0.872282i | \(-0.337360\pi\) |
0.908327 | + | 0.418261i | \(0.137360\pi\) | |||||||
\(662\) | −8.81355 | − | 5.18986i | −0.342548 | − | 0.201710i | ||||
\(663\) | −15.1425 | − | 4.92009i | −0.588085 | − | 0.191081i | ||||
\(664\) | 8.92708 | − | 25.2441i | 0.346438 | − | 0.979661i | ||||
\(665\) | 1.42365 | − | 11.7624i | 0.0552070 | − | 0.456128i | ||||
\(666\) | −34.5506 | + | 58.6746i | −1.33881 | + | 2.27359i | ||||
\(667\) | 10.9844 | + | 7.98063i | 0.425318 | + | 0.309011i | ||||
\(668\) | −14.2273 | + | 30.5336i | −0.550471 | + | 1.18138i | ||||
\(669\) | −2.87936 | + | 3.96311i | −0.111323 | + | 0.153223i | ||||
\(670\) | −9.59918 | − | 0.233405i | −0.370849 | − | 0.00901724i | ||||
\(671\) | −49.7762 | + | 36.1645i | −1.92159 | + | 1.39612i | ||||
\(672\) | −9.31503 | + | 18.7169i | −0.359335 | + | 0.722021i | ||||
\(673\) | 1.57662 | − | 0.512274i | 0.0607742 | − | 0.0197467i | −0.278472 | − | 0.960444i | \(-0.589828\pi\) |
0.339246 | + | 0.940698i | \(0.389828\pi\) | |||||||
\(674\) | 2.78836 | − | 12.5861i | 0.107404 | − | 0.484798i | ||||
\(675\) | 59.1919 | + | 14.5415i | 2.27830 | + | 0.559702i | ||||
\(676\) | −22.0687 | − | 10.2831i | −0.848798 | − | 0.395502i | ||||
\(677\) | −0.0701106 | − | 0.215778i | −0.00269457 | − | 0.00829304i | 0.949700 | − | 0.313161i | \(-0.101388\pi\) |
−0.952395 | + | 0.304868i | \(0.901388\pi\) | |||||||
\(678\) | 8.10371 | + | 18.6299i | 0.311221 | + | 0.715477i | ||||
\(679\) | 0.277355 | − | 0.201510i | 0.0106439 | − | 0.00773325i | ||||
\(680\) | −5.89131 | − | 34.7442i | −0.225922 | − | 1.33238i | ||||
\(681\) | 23.4497 | + | 17.0372i | 0.898596 | + | 0.652868i | ||||
\(682\) | −1.75380 | + | 7.91628i | −0.0671563 | + | 0.303130i | ||||
\(683\) | 24.0637 | + | 17.4833i | 0.920773 | + | 0.668981i | 0.943716 | − | 0.330756i | \(-0.107304\pi\) |
−0.0229435 | + | 0.999737i | \(0.507304\pi\) | |||||||
\(684\) | −45.3500 | − | 42.2650i | −1.73400 | − | 1.61604i | ||||
\(685\) | 1.56844 | + | 7.99527i | 0.0599270 | + | 0.305483i | ||||
\(686\) | −20.8851 | + | 2.01405i | −0.797396 | + | 0.0768969i | ||||
\(687\) | −33.7717 | − | 10.9731i | −1.28847 | − | 0.418649i | ||||
\(688\) | −10.9786 | + | 4.44303i | −0.418555 | + | 0.169389i | ||||
\(689\) | 3.67089 | + | 11.2978i | 0.139850 | + | 0.430413i | ||||
\(690\) | 0.527037 | − | 21.6752i | 0.0200639 | − | 0.825162i | ||||
\(691\) | −29.9436 | − | 9.72925i | −1.13911 | − | 0.370118i | −0.322077 | − | 0.946714i | \(-0.604381\pi\) |
−0.817030 | + | 0.576595i | \(0.804381\pi\) | |||||||
\(692\) | 9.87723 | + | 17.8069i | 0.375476 | + | 0.676915i | ||||
\(693\) | −32.1269 | −1.22040 | ||||||||
\(694\) | 9.58868 | + | 10.8349i | 0.363981 | + | 0.411286i | ||||
\(695\) | 22.8773 | + | 21.2598i | 0.867787 | + | 0.806430i | ||||
\(696\) | −1.42439 | + | 55.3122i | −0.0539913 | + | 2.09660i | ||||
\(697\) | −20.8859 | − | 28.7469i | −0.791108 | − | 1.08887i | ||||
\(698\) | 6.70671 | − | 0.646761i | 0.253853 | − | 0.0244803i | ||||
\(699\) | 39.0712i | 1.47781i | ||||||||
\(700\) | 10.9935 | + | 4.17292i | 0.415516 | + | 0.157722i | ||||
\(701\) | 2.30506i | 0.0870611i | 0.999052 | + | 0.0435305i | \(0.0138606\pi\) | ||||
−0.999052 | + | 0.0435305i | \(0.986139\pi\) | |||||||
\(702\) | −1.50451 | − | 15.6012i | −0.0567839 | − | 0.588831i | ||||
\(703\) | −18.5398 | − | 25.5178i | −0.699240 | − | 0.962422i | ||||
\(704\) | 19.9757 | − | 24.7117i | 0.752862 | − | 0.931358i | ||||
\(705\) | −7.19368 | − | 36.6704i | −0.270930 | − | 1.38109i | ||||
\(706\) | 19.3337 | − | 17.1100i | 0.727635 | − | 0.643945i | ||||
\(707\) | −9.22096 | −0.346790 | ||||||||
\(708\) | −7.06746 | + | 3.92023i | −0.265611 | + | 0.147331i | ||||
\(709\) | 25.4956 | + | 8.28402i | 0.957508 | + | 0.311113i | 0.745763 | − | 0.666212i | \(-0.232085\pi\) |
0.211745 | + | 0.977325i | \(0.432085\pi\) | |||||||
\(710\) | 2.05328 | − | 5.83291i | 0.0770581 | − | 0.218905i | ||||
\(711\) | −5.86429 | − | 18.0484i | −0.219928 | − | 0.676869i | ||||
\(712\) | 6.08488 | − | 4.18591i | 0.228040 | − | 0.156874i | ||||
\(713\) | 2.99472 | + | 0.973045i | 0.112153 | + | 0.0364408i | ||||
\(714\) | 2.79550 | + | 28.9884i | 0.104619 | + | 1.08486i | ||||
\(715\) | −7.05555 | + | 3.92688i | −0.263862 | + | 0.146857i | ||||
\(716\) | 22.0961 | + | 20.5930i | 0.825770 | + | 0.769597i | ||||
\(717\) | −70.2688 | − | 51.0533i | −2.62424 | − | 1.90662i | ||||
\(718\) | 25.2212 | + | 5.58759i | 0.941248 | + | 0.208527i | ||||
\(719\) | 12.3313 | + | 8.95922i | 0.459880 | + | 0.334123i | 0.793484 | − | 0.608591i | \(-0.208265\pi\) |
−0.333604 | + | 0.942713i | \(0.608265\pi\) | |||||||
\(720\) | 51.5208 | − | 33.6270i | 1.92007 | − | 1.25320i | ||||
\(721\) | −12.5269 | + | 9.10133i | −0.466526 | + | 0.338951i | ||||
\(722\) | 1.69281 | − | 0.736344i | 0.0629997 | − | 0.0274039i | ||||
\(723\) | 4.16038 | + | 12.8043i | 0.154726 | + | 0.476198i | ||||
\(724\) | −15.9831 | + | 34.3017i | −0.594007 | + | 1.27481i | ||||
\(725\) | 31.0368 | − | 2.27793i | 1.15268 | − | 0.0846001i | ||||
\(726\) | 20.7285 | + | 4.59226i | 0.769308 | + | 0.170435i | ||||
\(727\) | −2.11778 | + | 0.688107i | −0.0785440 | + | 0.0255205i | −0.348025 | − | 0.937485i | \(-0.613148\pi\) |
0.269481 | + | 0.963006i | \(0.413148\pi\) | |||||||
\(728\) | 0.0778413 | − | 3.02276i | 0.00288499 | − | 0.112031i | ||||
\(729\) | −5.38937 | + | 3.91560i | −0.199606 | + | 0.145022i | ||||
\(730\) | −8.10946 | + | 10.6095i | −0.300144 | + | 0.392674i | ||||
\(731\) | −9.69724 | + | 13.3471i | −0.358665 | + | 0.493661i | ||||
\(732\) | −41.1258 | + | 88.2612i | −1.52005 | + | 3.26223i | ||||
\(733\) | −40.0434 | − | 29.0933i | −1.47904 | − | 1.07458i | −0.977865 | − | 0.209237i | \(-0.932902\pi\) |
−0.501173 | − | 0.865347i | \(-0.667098\pi\) | |||||||
\(734\) | 18.3485 | + | 10.8045i | 0.677254 | + | 0.398801i | ||||
\(735\) | 35.8082 | + | 16.6225i | 1.32081 | + | 0.613131i | ||||
\(736\) | −8.80787 | − | 8.64296i | −0.324662 | − | 0.318584i | ||||
\(737\) | −11.4703 | − | 3.72692i | −0.422513 | − | 0.137283i | ||||
\(738\) | 31.4776 | − | 53.4560i | 1.15871 | − | 1.96774i | ||||
\(739\) | 17.2361 | − | 5.60033i | 0.634039 | − | 0.206012i | 0.0256753 | − | 0.999670i | \(-0.491826\pi\) |
0.608363 | + | 0.793659i | \(0.291826\pi\) | |||||||
\(740\) | 29.0006 | − | 11.7850i | 1.06608 | − | 0.433225i | ||||
\(741\) | 12.2460 | + | 3.97897i | 0.449869 | + | 0.146171i | ||||
\(742\) | 16.2717 | − | 14.4002i | 0.597352 | − | 0.528647i | ||||
\(743\) | 15.5632i | 0.570959i | 0.958385 | + | 0.285479i | \(0.0921528\pi\) | ||||
−0.958385 | + | 0.285479i | \(0.907847\pi\) | |||||||
\(744\) | 3.64984 | + | 12.3021i | 0.133810 | + | 0.451016i | ||||
\(745\) | −5.10661 | + | 2.84217i | −0.187092 | + | 0.104129i | ||||
\(746\) | −0.919452 | + | 0.399947i | −0.0336635 | + | 0.0146431i | ||||
\(747\) | 52.6813 | − | 38.2752i | 1.92751 | − | 1.40042i | ||||
\(748\) | 5.38162 | − | 43.9348i | 0.196771 | − | 1.60642i | ||||
\(749\) | − | 8.23944i | − | 0.301062i | ||||||
\(750\) | −31.1426 | − | 38.7270i | −1.13717 | − | 1.41411i | ||||
\(751\) | 41.5803 | 1.51729 | 0.758643 | − | 0.651507i | \(-0.225863\pi\) | ||||
0.758643 | + | 0.651507i | \(0.225863\pi\) | |||||||
\(752\) | −18.0435 | − | 11.2603i | −0.657980 | − | 0.410622i | ||||
\(753\) | 24.7554 | + | 34.0729i | 0.902137 | + | 1.24169i | ||||
\(754\) | −3.19205 | − | 7.33830i | −0.116248 | − | 0.267245i | ||||
\(755\) | 11.5463 | + | 20.7455i | 0.420211 | + | 0.755007i | ||||
\(756\) | −25.0704 | + | 13.9063i | −0.911803 | + | 0.505766i | ||||
\(757\) | 1.83755 | 0.0667870 | 0.0333935 | − | 0.999442i | \(-0.489369\pi\) | ||||
0.0333935 | + | 0.999442i | \(0.489369\pi\) | |||||||
\(758\) | 19.4969 | − | 17.2544i | 0.708158 | − | 0.626708i | ||||
\(759\) | 8.41550 | − | 25.9003i | 0.305463 | − | 0.940120i | ||||
\(760\) | 4.76442 | + | 28.0983i | 0.172824 | + | 1.01923i | ||||
\(761\) | −9.18935 | − | 28.2819i | −0.333114 | − | 1.02522i | −0.967644 | − | 0.252320i | \(-0.918806\pi\) |
0.634530 | − | 0.772898i | \(-0.281194\pi\) | |||||||
\(762\) | −33.0555 | − | 19.4647i | −1.19747 | − | 0.705132i | ||||
\(763\) | 0.981880 | − | 3.02192i | 0.0355464 | − | 0.109401i | ||||
\(764\) | 0.544920 | − | 4.44866i | 0.0197145 | − | 0.160947i | ||||
\(765\) | 36.0851 | − | 77.7345i | 1.30466 | − | 2.81050i | ||||
\(766\) | −21.8708 | − | 12.8786i | −0.790223 | − | 0.465323i | ||||
\(767\) | 0.687057 | − | 0.945653i | 0.0248082 | − | 0.0341455i | ||||
\(768\) | 8.67516 | − | 49.5344i | 0.313038 | − | 1.78742i | ||||
\(769\) | 7.63237 | + | 5.54524i | 0.275230 | + | 0.199966i | 0.716834 | − | 0.697244i | \(-0.245590\pi\) |
−0.441604 | + | 0.897210i | \(0.645590\pi\) | |||||||
\(770\) | 11.7344 | + | 8.96928i | 0.422877 | + | 0.323231i | ||||
\(771\) | −14.4450 | − | 19.8818i | −0.520222 | − | 0.716025i | ||||
\(772\) | −8.67378 | − | 44.5539i | −0.312176 | − | 1.60353i | ||||
\(773\) | −7.49873 | − | 23.0787i | −0.269711 | − | 0.830084i | −0.990571 | − | 0.137003i | \(-0.956253\pi\) |
0.720860 | − | 0.693081i | \(-0.243747\pi\) | |||||||
\(774\) | −28.1210 | − | 6.23000i | −1.01079 | − | 0.223933i | ||||
\(775\) | 6.68240 | − | 2.72672i | 0.240039 | − | 0.0979467i | ||||
\(776\) | −0.501718 | + | 0.654439i | −0.0180106 | + | 0.0234930i | ||||
\(777\) | −24.6036 | + | 7.99420i | −0.882649 | + | 0.286790i | ||||
\(778\) | −13.4687 | − | 30.9637i | −0.482877 | − | 1.11010i | ||||
\(779\) | 16.8908 | + | 23.2482i | 0.605176 | + | 0.832953i | ||||
\(780\) | −6.75003 | + | 10.8509i | −0.241690 | + | 0.388524i | ||||
\(781\) | 4.56537 | − | 6.28370i | 0.163362 | − | 0.224848i | ||||
\(782\) | −16.7827 | − | 3.71810i | −0.600150 | − | 0.132959i | ||||
\(783\) | −44.5974 | + | 61.3830i | −1.59378 | + | 2.19365i | ||||
\(784\) | 20.8282 | − | 8.42915i | 0.743863 | − | 0.301041i | ||||
\(785\) | 4.24490 | + | 7.62695i | 0.151507 | + | 0.272217i | ||||
\(786\) | 38.4828 | − | 3.71109i | 1.37264 | − | 0.132370i | ||||
\(787\) | −11.5135 | + | 35.4350i | −0.410413 | + | 1.26312i | 0.505877 | + | 0.862606i | \(0.331169\pi\) |
−0.916290 | + | 0.400515i | \(0.868831\pi\) | |||||||
\(788\) | −17.7026 | + | 18.9948i | −0.630631 | + | 0.676661i | ||||
\(789\) | −82.0264 | + | 26.6520i | −2.92022 | + | 0.948837i | ||||
\(790\) | −2.89689 | + | 8.22942i | −0.103067 | + | 0.292790i | ||||
\(791\) | −1.66083 | + | 5.11151i | −0.0590524 | + | 0.181745i | ||||
\(792\) | 74.0848 | − | 21.9799i | 2.63249 | − | 0.781021i | ||||
\(793\) | − | 14.0830i | − | 0.500103i | ||||||
\(794\) | −1.35316 | − | 1.52903i | −0.0480220 | − | 0.0542632i | ||||
\(795\) | −90.1123 | + | 17.6774i | −3.19595 | + | 0.626953i | ||||
\(796\) | 35.7619 | − | 6.96214i | 1.26755 | − | 0.246767i | ||||
\(797\) | −4.03520 | + | 2.93174i | −0.142934 | + | 0.103848i | −0.656954 | − | 0.753930i | \(-0.728156\pi\) |
0.514020 | + | 0.857778i | \(0.328156\pi\) | |||||||
\(798\) | −2.26077 | − | 23.4435i | −0.0800305 | − | 0.829890i | ||||
\(799\) | −29.6272 | −1.04814 | ||||||||
\(800\) | −28.2061 | − | 2.10147i | −0.997236 | − | 0.0742983i | ||||
\(801\) | 17.9614 | 0.634635 | ||||||||
\(802\) | −3.53875 | − | 36.6957i | −0.124958 | − | 1.29577i | ||||
\(803\) | −13.5696 | + | 9.85892i | −0.478862 | + | 0.347914i | ||||
\(804\) | −18.7353 | + | 3.64740i | −0.660744 | + | 0.128634i | ||||
\(805\) | 3.90458 | − | 4.20166i | 0.137618 | − | 0.148089i | ||||
\(806\) | −1.22996 | − | 1.38982i | −0.0433237 | − | 0.0489542i | ||||
\(807\) | 67.0587i | 2.36058i | ||||||||
\(808\) | 21.2636 | − | 6.30860i | 0.748051 | − | 0.221936i | ||||
\(809\) | −2.74204 | + | 8.43914i | −0.0964051 | + | 0.296704i | −0.987617 | − | 0.156882i | \(-0.949856\pi\) |
0.891212 | + | 0.453587i | \(0.149856\pi\) | |||||||
\(810\) | 55.8891 | + | 1.35895i | 1.96374 | + | 0.0477487i | ||||
\(811\) | 20.7338 | − | 6.73681i | 0.728062 | − | 0.236562i | 0.0785467 | − | 0.996910i | \(-0.474972\pi\) |
0.649515 | + | 0.760349i | \(0.274972\pi\) | |||||||
\(812\) | −9.97969 | + | 10.7081i | −0.350219 | + | 0.375781i | ||||
\(813\) | 1.03769 | − | 3.19368i | 0.0363934 | − | 0.112007i | ||||
\(814\) | 39.1373 | − | 3.77421i | 1.37176 | − | 0.132286i | ||||
\(815\) | −43.0719 | + | 8.44946i | −1.50874 | + | 0.295972i | ||||
\(816\) | −26.2791 | − | 64.9349i | −0.919953 | − | 2.27318i | ||||
\(817\) | 7.84235 | − | 10.7941i | 0.274369 | − | 0.377637i | ||||
\(818\) | 1.39675 | + | 0.309440i | 0.0488362 | + | 0.0108193i | ||||
\(819\) | 4.32233 | − | 5.94918i | 0.151035 | − | 0.207881i | ||||
\(820\) | −26.4212 | + | 10.7368i | −0.922669 | + | 0.374946i | ||||
\(821\) | −21.5298 | − | 29.6332i | −0.751394 | − | 1.03420i | −0.997881 | − | 0.0650589i | \(-0.979276\pi\) |
0.246488 | − | 0.969146i | \(-0.420724\pi\) | |||||||
\(822\) | 6.46031 | + | 14.8518i | 0.225329 | + | 0.518017i | ||||
\(823\) | −5.63427 | + | 1.83068i | −0.196398 | + | 0.0638136i | −0.405564 | − | 0.914066i | \(-0.632925\pi\) |
0.209166 | + | 0.977880i | \(0.432925\pi\) | |||||||
\(824\) | 22.6604 | − | 29.5581i | 0.789412 | − | 1.02971i | ||||
\(825\) | −23.5824 | − | 57.7936i | −0.821033 | − | 2.01212i | ||||
\(826\) | −2.08743 | − | 0.462456i | −0.0726311 | − | 0.0160909i | ||||
\(827\) | −4.70692 | − | 14.4864i | −0.163676 | − | 0.503742i | 0.835261 | − | 0.549854i | \(-0.185317\pi\) |
−0.998936 | + | 0.0461123i | \(0.985317\pi\) | |||||||
\(828\) | −5.73479 | − | 29.4574i | −0.199298 | − | 1.02372i | ||||
\(829\) | −25.2244 | − | 34.7183i | −0.876078 | − | 1.20582i | −0.977492 | − | 0.210974i | \(-0.932337\pi\) |
0.101414 | − | 0.994844i | \(-0.467663\pi\) | |||||||
\(830\) | −29.9277 | − | 0.727697i | −1.03881 | − | 0.0252587i | ||||
\(831\) | −45.1419 | − | 32.7975i | −1.56595 | − | 1.13773i | ||||
\(832\) | 1.88854 | + | 7.02376i | 0.0654735 | + | 0.243505i | ||||
\(833\) | 18.3972 | − | 25.3216i | 0.637427 | − | 0.877343i | ||||
\(834\) | 53.4952 | + | 31.5007i | 1.85239 | + | 1.09078i | ||||
\(835\) | 37.3887 | + | 4.52531i | 1.29389 | + | 0.156605i | ||||
\(836\) | −4.35222 | + | 35.5309i | −0.150525 | + | 1.22886i | ||||
\(837\) | −5.43757 | + | 16.7351i | −0.187950 | + | 0.578450i | ||||
\(838\) | 40.7801 | + | 24.0134i | 1.40872 | + | 0.829528i | ||||
\(839\) | 14.0891 | + | 43.3617i | 0.486409 | + | 1.49701i | 0.829930 | + | 0.557868i | \(0.188380\pi\) |
−0.343521 | + | 0.939145i | \(0.611620\pi\) | |||||||
\(840\) | 23.1251 | + | 3.40505i | 0.797893 | + | 0.117486i | ||||
\(841\) | −3.00946 | + | 9.26218i | −0.103775 | + | 0.319385i | ||||
\(842\) | −29.1338 | + | 25.7829i | −1.00402 | + | 0.888539i | ||||
\(843\) | −34.1050 | −1.17464 | ||||||||
\(844\) | −3.07294 | + | 1.70452i | −0.105775 | + | 0.0586720i | ||||
\(845\) | −3.27075 | + | 27.0234i | −0.112517 | + | 0.929634i | ||||
\(846\) | −20.6320 | − | 47.4315i | −0.709342 | − | 1.63073i | ||||
\(847\) | 3.30138 | + | 4.54396i | 0.113437 | + | 0.156132i | ||||
\(848\) | −27.6706 | + | 44.3393i | −0.950214 | + | 1.52262i | ||||
\(849\) | −72.9986 | −2.50531 | ||||||||
\(850\) | −34.8823 | + | 18.3182i | −1.19645 | + | 0.628310i | ||||
\(851\) | − | 15.2695i | − | 0.523433i | ||||||
\(852\) | 1.49451 | − | 12.2010i | 0.0512011 | − | 0.417999i | ||||
\(853\) | −39.8951 | + | 28.9855i | −1.36598 | + | 0.992445i | −0.367944 | + | 0.929848i | \(0.619938\pi\) |
−0.998039 | + | 0.0625971i | \(0.980062\pi\) | |||||||
\(854\) | −23.6216 | + | 10.2750i | −0.808315 | + | 0.351604i | ||||
\(855\) | −29.1827 | + | 62.8654i | −0.998028 | + | 2.14995i | ||||
\(856\) | 5.63709 | + | 19.0002i | 0.192672 | + | 0.649414i | ||||
\(857\) | 57.0345i | 1.94826i | 0.225989 | + | 0.974130i | \(0.427439\pi\) | ||||
−0.225989 | + | 0.974130i | \(0.572561\pi\) | |||||||
\(858\) | −12.0200 | + | 10.6375i | −0.410356 | + | 0.363159i | ||||
\(859\) | −20.6564 | − | 6.71166i | −0.704786 | − | 0.228999i | −0.0653714 | − | 0.997861i | \(-0.520823\pi\) |
−0.639415 | + | 0.768862i | \(0.720823\pi\) | |||||||
\(860\) | 8.53189 | + | 10.1264i | 0.290935 | + | 0.345308i | ||||
\(861\) | 22.4153 | − | 7.28318i | 0.763912 | − | 0.248210i | ||||
\(862\) | −19.1899 | + | 32.5887i | −0.653610 | + | 1.10998i | ||||
\(863\) | −17.9981 | − | 5.84794i | −0.612663 | − | 0.199066i | −0.0137830 | − | 0.999905i | \(-0.504387\pi\) |
−0.598880 | + | 0.800839i | \(0.704387\pi\) | |||||||
\(864\) | 48.2986 | − | 49.2201i | 1.64315 | − | 1.67450i | ||||
\(865\) | 15.4978 | − | 16.6770i | 0.526942 | − | 0.567034i | ||||
\(866\) | −25.2928 | − | 14.8937i | −0.859486 | − | 0.506108i | ||||
\(867\) | −35.7171 | − | 25.9500i | −1.21302 | − | 0.881307i | ||||
\(868\) | −1.43377 | + | 3.07705i | −0.0486653 | + | 0.104442i | ||||
\(869\) | −6.44110 | + | 8.86542i | −0.218499 | + | 0.300739i | ||||
\(870\) | 59.2810 | − | 17.6805i | 2.00981 | − | 0.599424i | ||||
\(871\) | 2.23335 | − | 1.62262i | 0.0756742 | − | 0.0549805i | ||||
\(872\) | −0.196752 | + | 7.64033i | −0.00666286 | + | 0.258734i | ||||
\(873\) | −1.90729 | + | 0.619716i | −0.0645520 | + | 0.0209742i | ||||
\(874\) | 13.5725 | + | 3.00690i | 0.459098 | + | 0.101710i | ||||
\(875\) | 0.620102 | − | 13.1322i | 0.0209633 | − | 0.443949i | ||||
\(876\) | −11.2114 | + | 24.0611i | −0.378799 | + | 0.812950i | ||||
\(877\) | 4.30447 | + | 13.2478i | 0.145352 | + | 0.447347i | 0.997056 | − | 0.0766761i | \(-0.0244307\pi\) |
−0.851704 | + | 0.524023i | \(0.824431\pi\) | |||||||
\(878\) | −0.392807 | + | 0.170865i | −0.0132566 | + | 0.00576640i | ||||
\(879\) | 59.9157 | − | 43.5313i | 2.02091 | − | 1.46827i | ||||
\(880\) | −33.1959 | − | 12.6551i | −1.11903 | − | 0.426602i | ||||
\(881\) | −32.7294 | − | 23.7793i | −1.10268 | − | 0.801145i | −0.121186 | − | 0.992630i | \(-0.538670\pi\) |
−0.981496 | + | 0.191485i | \(0.938670\pi\) | |||||||
\(882\) | 53.3501 | + | 11.8193i | 1.79639 | + | 0.397977i | ||||
\(883\) | −3.31224 | − | 2.40648i | −0.111466 | − | 0.0809845i | 0.530656 | − | 0.847587i | \(-0.321946\pi\) |
−0.642122 | + | 0.766603i | \(0.721946\pi\) | |||||||
\(884\) | 7.41171 | + | 6.90753i | 0.249283 | + | 0.232325i | ||||
\(885\) | 6.61902 | + | 6.15102i | 0.222496 | + | 0.206764i | ||||
\(886\) | 4.60255 | + | 47.7270i | 0.154626 | + | 1.60342i | ||||
\(887\) | 5.39637 | + | 1.75339i | 0.181192 | + | 0.0588730i | 0.398208 | − | 0.917295i | \(-0.369632\pi\) |
−0.217016 | + | 0.976168i | \(0.569632\pi\) | |||||||
\(888\) | 51.2668 | − | 35.2675i | 1.72040 | − | 1.18350i | ||||
\(889\) | −3.13597 | − | 9.65152i | −0.105177 | − | 0.323701i | ||||
\(890\) | −6.56041 | − | 5.01452i | −0.219905 | − | 0.168087i | ||||
\(891\) | 66.7832 | + | 21.6992i | 2.23732 | + | 0.726950i | ||||
\(892\) | 2.72591 | − | 1.51202i | 0.0912701 | − | 0.0506263i | ||||
\(893\) | 23.9601 | 0.801795 | ||||||||
\(894\) | −8.69976 | + | 7.69914i | −0.290963 | + | 0.257498i | ||||
\(895\) | 14.2188 | − | 30.6302i | 0.475284 | − | 1.02386i | ||||
\(896\) | 10.4031 | − | 8.29224i | 0.347545 | − | 0.277024i | ||||
\(897\) | 3.66394 | + | 5.04297i | 0.122335 | + | 0.168380i | ||||
\(898\) | −1.71111 | − | 17.7436i | −0.0571004 | − | 0.592113i | ||||
\(899\) | 8.98418i | 0.299639i | ||||||||
\(900\) | −53.6179 | − | 43.0880i | −1.78726 | − | 1.43627i | ||||
\(901\) | 72.8046i | 2.42547i | ||||||||
\(902\) | −35.6564 | + | 3.43852i | −1.18723 | + | 0.114490i | ||||
\(903\) | −6.43211 | − | 8.85304i | −0.214047 | − | 0.294611i | ||||
\(904\) | 0.332802 | − | 12.9235i | 0.0110688 | − | 0.429828i | ||||
\(905\) | 42.0029 | + | 5.08377i | 1.39622 | + | 0.168990i | ||||
\(906\) | 31.2776 | + | 35.3426i | 1.03913 | + | 1.17418i | ||||
\(907\) | 49.8362 | 1.65478 | 0.827392 | − | 0.561625i | \(-0.189824\pi\) | ||||
0.827392 | + | 0.561625i | \(0.189824\pi\) | |||||||
\(908\) | −8.94666 | − | 16.1292i | −0.296905 | − | 0.535266i | ||||
\(909\) | 51.2997 | + | 16.6683i | 1.70150 | + | 0.552852i | ||||
\(910\) | −3.23965 | + | 0.966219i | −0.107393 | + | 0.0320299i | ||||
\(911\) | 1.08071 | + | 3.32610i | 0.0358057 | + | 0.110199i | 0.967362 | − | 0.253399i | \(-0.0815485\pi\) |
−0.931556 | + | 0.363597i | \(0.881548\pi\) | |||||||
\(912\) | 21.2524 | + | 52.5141i | 0.703738 | + | 1.73892i | ||||
\(913\) | −35.7613 | − | 11.6196i | −1.18353 | − | 0.384551i | ||||
\(914\) | −3.64497 | + | 0.351503i | −0.120565 | + | 0.0116267i | ||||
\(915\) | 108.077 | + | 13.0810i | 3.57291 | + | 0.432443i | ||||
\(916\) | 16.5300 | + | 15.4056i | 0.546168 | + | 0.509015i | ||||
\(917\) | 8.27442 | + | 6.01172i | 0.273246 | + | 0.198525i | ||||
\(918\) | 20.7775 | − | 93.7853i | 0.685759 | − | 3.09538i | ||||
\(919\) | −35.2395 | − | 25.6030i | −1.16244 | − | 0.844564i | −0.172357 | − | 0.985034i | \(-0.555138\pi\) |
−0.990085 | + | 0.140471i | \(0.955138\pi\) | |||||||
\(920\) | −6.12939 | + | 12.3604i | −0.202080 | + | 0.407510i | ||||
\(921\) | −74.2277 | + | 53.9296i | −2.44589 | + | 1.77704i | ||||
\(922\) | −3.85254 | − | 8.85674i | −0.126877 | − | 0.291681i | ||||
\(923\) | 0.549378 | + | 1.69081i | 0.0180830 | + | 0.0556538i | ||||
\(924\) | 26.6123 | + | 12.4001i | 0.875479 | + | 0.407935i | ||||
\(925\) | −22.5890 | − | 26.7327i | −0.742722 | − | 0.878965i | ||||
\(926\) | −6.67486 | + | 30.1290i | −0.219349 | + | 0.990099i | ||||
\(927\) | 86.1439 | − | 27.9899i | 2.82934 | − | 0.919307i | ||||
\(928\) | 15.6872 | − | 31.5207i | 0.514957 | − | 1.03472i | ||||
\(929\) | −20.6493 | + | 15.0026i | −0.677483 | + | 0.492220i | −0.872522 | − | 0.488576i | \(-0.837517\pi\) |
0.195039 | + | 0.980795i | \(0.437517\pi\) | |||||||
\(930\) | 11.8083 | − | 8.14815i | 0.387209 | − | 0.267188i | ||||
\(931\) | −14.8782 | + | 20.4781i | −0.487614 | + | 0.671143i | ||||
\(932\) | 10.5007 | − | 22.5358i | 0.343962 | − | 0.738186i | ||||
\(933\) | 2.49920 | + | 1.81577i | 0.0818201 | + | 0.0594458i | ||||
\(934\) | 2.15644 | − | 3.66212i | 0.0705608 | − | 0.119828i | ||||
\(935\) | −48.5622 | + | 9.52649i | −1.58815 | + | 0.311549i | ||||
\(936\) | −5.89715 | + | 16.6760i | −0.192754 | + | 0.545073i | ||||
\(937\) | 3.76427 | + | 1.22309i | 0.122973 | + | 0.0399565i | 0.369857 | − | 0.929089i | \(-0.379407\pi\) |
−0.246884 | + | 0.969045i | \(0.579407\pi\) | |||||||
\(938\) | −4.35111 | − | 2.56215i | −0.142069 | − | 0.0836572i | ||||
\(939\) | −28.6403 | + | 9.30581i | −0.934642 | + | 0.303684i | ||||
\(940\) | −5.70625 | + | 23.0845i | −0.186117 | + | 0.752933i | ||||
\(941\) | −7.54079 | − | 2.45015i | −0.245823 | − | 0.0798727i | 0.183514 | − | 0.983017i | \(-0.441253\pi\) |
−0.429337 | + | 0.903144i | \(0.641253\pi\) | |||||||
\(942\) | 11.4990 | + | 12.9935i | 0.374658 | + | 0.423350i | ||||
\(943\) | 13.9114i | 0.453018i | ||||||||
\(944\) | 5.13003 | − | 0.361709i | 0.166968 | − | 0.0117726i | ||||
\(945\) | 23.4797 | + | 21.8196i | 0.763794 | + | 0.709791i | ||||
\(946\) | 6.63418 | + | 15.2515i | 0.215696 | + | 0.495870i | ||||
\(947\) | −0.630350 | + | 0.457976i | −0.0204836 | + | 0.0148822i | −0.597980 | − | 0.801511i | \(-0.704030\pi\) |
0.577496 | + | 0.816393i | \(0.304030\pi\) | |||||||
\(948\) | −2.10854 | + | 17.2139i | −0.0684824 | + | 0.559081i | ||||
\(949\) | − | 3.83921i | − | 0.124626i | ||||||
\(950\) | 28.2100 | − | 14.8143i | 0.915253 | − | 0.480640i | ||||
\(951\) | −57.8664 | −1.87645 | ||||||||
\(952\) | 6.17846 | − | 17.4715i | 0.200245 | − | 0.566255i | ||||
\(953\) | 6.29429 | + | 8.66334i | 0.203892 | + | 0.280633i | 0.898702 | − | 0.438560i | \(-0.144511\pi\) |
−0.694810 | + | 0.719194i | \(0.744511\pi\) | |||||||
\(954\) | −116.556 | + | 50.7000i | −3.77364 | + | 1.64147i | ||||
\(955\) | −4.91720 | + | 0.964613i | −0.159117 | + | 0.0312141i | ||||
\(956\) | 26.8093 | + | 48.3323i | 0.867075 | + | 1.56318i | ||||
\(957\) | 77.7008 | 2.51171 | ||||||||
\(958\) | 17.8079 | + | 20.1224i | 0.575349 | + | 0.650124i | ||||
\(959\) | −1.32402 | + | 4.07492i | −0.0427549 | + | 0.131586i | ||||
\(960\) | −55.6564 | + | 7.96919i | −1.79630 | + | 0.257205i | ||||
\(961\) | −8.93566 | − | 27.5011i | −0.288247 | − | 0.887134i | ||||
\(962\) | −4.56662 | + | 7.75514i | −0.147234 | + | 0.250036i | ||||
\(963\) | −14.8940 | + | 45.8391i | −0.479953 | + | 1.47714i | ||||
\(964\) | 1.04161 | − | 8.50353i | 0.0335479 | − | 0.273880i | ||||
\(965\) | −44.3427 | + | 24.6796i | −1.42744 | + | 0.794465i | ||||
\(966\) | 5.78542 | − | 9.82494i | 0.186143 | − | 0.316112i | ||||
\(967\) | 5.37219 | − | 7.39419i | 0.172758 | − | 0.237781i | −0.713854 | − | 0.700294i | \(-0.753052\pi\) |
0.886612 | + | 0.462513i | \(0.153052\pi\) | |||||||
\(968\) | −10.7218 | − | 8.21973i | −0.344612 | − | 0.264192i | ||||
\(969\) | 63.8435 | + | 46.3850i | 2.05095 | + | 1.49010i | ||||
\(970\) | 0.869654 | + | 0.306132i | 0.0279229 | + | 0.00982930i | ||||
\(971\) | 15.2665 | + | 21.0125i | 0.489924 | + | 0.674323i | 0.980374 | − | 0.197147i | \(-0.0631675\pi\) |
−0.490450 | + | 0.871469i | \(0.663167\pi\) | |||||||
\(972\) | 37.2879 | − | 7.25922i | 1.19601 | − | 0.232840i | ||||
\(973\) | 5.07508 | + | 15.6195i | 0.162700 | + | 0.500738i | ||||
\(974\) | 0.580675 | − | 2.62105i | 0.0186060 | − | 0.0839839i | ||||
\(975\) | 13.8749 | + | 3.40859i | 0.444351 | + | 0.109162i | ||||
\(976\) | 47.4419 | − | 39.8552i | 1.51858 | − | 1.27574i | ||||
\(977\) | 29.0332 | − | 9.43346i | 0.928855 | − | 0.301803i | 0.194760 | − | 0.980851i | \(-0.437607\pi\) |
0.734094 | + | 0.679048i | \(0.237607\pi\) | |||||||
\(978\) | −80.0094 | + | 34.8028i | −2.55842 | + | 1.11287i | ||||
\(979\) | −6.09631 | − | 8.39085i | −0.194839 | − | 0.268173i | ||||
\(980\) | −16.1864 | − | 19.2115i | −0.517055 | − | 0.613688i | ||||
\(981\) | −10.9251 | + | 15.0372i | −0.348813 | + | 0.480100i | ||||
\(982\) | 9.44799 | − | 42.6463i | 0.301498 | − | 1.36090i | ||||
\(983\) | −23.5163 | + | 32.3674i | −0.750052 | + | 1.03236i | 0.247924 | + | 0.968779i | \(0.420252\pi\) |
−0.997977 | + | 0.0635791i | \(0.979748\pi\) | |||||||
\(984\) | −46.7070 | + | 32.1307i | −1.48897 | + | 1.02429i | ||||
\(985\) | 26.3311 | + | 12.2231i | 0.838978 | + | 0.389462i | ||||
\(986\) | −4.70782 | − | 48.8186i | −0.149928 | − | 1.55470i | ||||
\(987\) | 6.07265 | − | 18.6897i | 0.193295 | − | 0.594900i | ||||
\(988\) | −5.99400 | − | 5.58625i | −0.190694 | − | 0.177722i | ||||
\(989\) | 6.14291 | − | 1.99595i | 0.195333 | − | 0.0634676i | ||||
\(990\) | −49.0693 | − | 71.1111i | −1.55953 | − | 2.26006i | ||||
\(991\) | 14.8786 | − | 45.7916i | 0.472634 | − | 1.45462i | −0.376488 | − | 0.926422i | \(-0.622868\pi\) |
0.849122 | − | 0.528197i | \(-0.177132\pi\) | |||||||
\(992\) | 1.20109 | − | 8.07663i | 0.0381347 | − | 0.256433i | ||||
\(993\) | 22.7314i | 0.721358i | ||||||||
\(994\) | 2.43519 | − | 2.15510i | 0.0772395 | − | 0.0683557i | ||||
\(995\) | −19.8095 | − | 35.5923i | −0.628003 | − | 1.12835i | ||||
\(996\) | −58.4118 | + | 11.3716i | −1.85085 | + | 0.360324i | ||||
\(997\) | −0.969621 | + | 0.704471i | −0.0307082 | + | 0.0223108i | −0.603033 | − | 0.797716i | \(-0.706041\pi\) |
0.572325 | + | 0.820027i | \(0.306041\pi\) | |||||||
\(998\) | 14.9141 | − | 1.43825i | 0.472099 | − | 0.0455269i | ||||
\(999\) | 85.3292 | 2.69970 |
(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 | 200.2.o.a.69.16 | yes | 112 | |
4.3 | odd | 2 | 800.2.be.a.369.2 | 112 | |||
5.2 | odd | 4 | 1000.2.t.b.901.2 | 224 | |||
5.3 | odd | 4 | 1000.2.t.b.901.55 | 224 | |||
5.4 | even | 2 | 1000.2.o.a.349.13 | 112 | |||
8.3 | odd | 2 | 800.2.be.a.369.27 | 112 | |||
8.5 | even | 2 | inner | 200.2.o.a.69.10 | yes | 112 | |
25.3 | odd | 20 | 1000.2.t.b.101.10 | 224 | |||
25.4 | even | 10 | inner | 200.2.o.a.29.10 | ✓ | 112 | |
25.21 | even | 5 | 1000.2.o.a.149.19 | 112 | |||
25.22 | odd | 20 | 1000.2.t.b.101.47 | 224 | |||
40.13 | odd | 4 | 1000.2.t.b.901.10 | 224 | |||
40.29 | even | 2 | 1000.2.o.a.349.19 | 112 | |||
40.37 | odd | 4 | 1000.2.t.b.901.47 | 224 | |||
100.79 | odd | 10 | 800.2.be.a.529.27 | 112 | |||
200.21 | even | 10 | 1000.2.o.a.149.13 | 112 | |||
200.29 | even | 10 | inner | 200.2.o.a.29.16 | yes | 112 | |
200.53 | odd | 20 | 1000.2.t.b.101.55 | 224 | |||
200.179 | odd | 10 | 800.2.be.a.529.2 | 112 | |||
200.197 | odd | 20 | 1000.2.t.b.101.2 | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
200.2.o.a.29.10 | ✓ | 112 | 25.4 | even | 10 | inner | |
200.2.o.a.29.16 | yes | 112 | 200.29 | even | 10 | inner | |
200.2.o.a.69.10 | yes | 112 | 8.5 | even | 2 | inner | |
200.2.o.a.69.16 | yes | 112 | 1.1 | even | 1 | trivial | |
800.2.be.a.369.2 | 112 | 4.3 | odd | 2 | |||
800.2.be.a.369.27 | 112 | 8.3 | odd | 2 | |||
800.2.be.a.529.2 | 112 | 200.179 | odd | 10 | |||
800.2.be.a.529.27 | 112 | 100.79 | odd | 10 | |||
1000.2.o.a.149.13 | 112 | 200.21 | even | 10 | |||
1000.2.o.a.149.19 | 112 | 25.21 | even | 5 | |||
1000.2.o.a.349.13 | 112 | 5.4 | even | 2 | |||
1000.2.o.a.349.19 | 112 | 40.29 | even | 2 | |||
1000.2.t.b.101.2 | 224 | 200.197 | odd | 20 | |||
1000.2.t.b.101.10 | 224 | 25.3 | odd | 20 | |||
1000.2.t.b.101.47 | 224 | 25.22 | odd | 20 | |||
1000.2.t.b.101.55 | 224 | 200.53 | odd | 20 | |||
1000.2.t.b.901.2 | 224 | 5.2 | odd | 4 | |||
1000.2.t.b.901.10 | 224 | 40.13 | odd | 4 | |||
1000.2.t.b.901.47 | 224 | 40.37 | odd | 4 | |||
1000.2.t.b.901.55 | 224 | 5.3 | odd | 4 |