Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
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([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), 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 \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.18 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.18 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.416374 | + | 1.06090i | −0.294421 | + | 0.750172i | 0.704750 | + | 0.709456i | \(0.251059\pi\) |
−0.999171 | + | 0.0407164i | \(0.987036\pi\) | |||||||
\(3\) | −0.936113 | + | 1.45729i | −0.540465 | + | 0.841367i | ||||
\(4\) | 0.513954 | + | 0.476880i | 0.256977 | + | 0.238440i | ||||
\(5\) | −1.98165 | + | 0.954315i | −0.886223 | + | 0.426782i | −0.820893 | − | 0.571081i | \(-0.806524\pi\) |
−0.0653293 | + | 0.997864i | \(0.520810\pi\) | |||||||
\(6\) | −1.15627 | − | 1.59990i | −0.472046 | − | 0.653158i | ||||
\(7\) | −1.83671 | + | 1.90434i | −0.694211 | + | 0.719772i | ||||
\(8\) | −2.77356 | + | 1.33568i | −0.980603 | + | 0.472234i | ||||
\(9\) | −1.24739 | − | 2.72837i | −0.415795 | − | 0.909458i | ||||
\(10\) | −0.187326 | − | 2.49970i | −0.0592378 | − | 0.790473i | ||||
\(11\) | 1.60126 | + | 2.00792i | 0.482798 | + | 0.605409i | 0.962253 | − | 0.272157i | \(-0.0877371\pi\) |
−0.479455 | + | 0.877566i | \(0.659166\pi\) | |||||||
\(12\) | −1.17607 | + | 0.302567i | −0.339503 | + | 0.0873435i | ||||
\(13\) | 1.37852 | − | 3.51241i | 0.382333 | − | 0.974168i | −0.602102 | − | 0.798419i | \(-0.705670\pi\) |
0.984435 | − | 0.175749i | \(-0.0562348\pi\) | |||||||
\(14\) | −1.25556 | − | 2.74149i | −0.335562 | − | 0.732694i | ||||
\(15\) | 0.464340 | − | 3.78119i | 0.119892 | − | 0.976299i | ||||
\(16\) | −0.157397 | − | 2.10032i | −0.0393492 | − | 0.525079i | ||||
\(17\) | 1.50025 | − | 1.39203i | 0.363863 | − | 0.337616i | −0.476960 | − | 0.878925i | \(-0.658261\pi\) |
0.840824 | + | 0.541309i | \(0.182071\pi\) | |||||||
\(18\) | 3.41392 | − | 0.187332i | 0.804669 | − | 0.0441545i | ||||
\(19\) | 1.19584 | − | 2.07126i | 0.274345 | − | 0.475180i | −0.695625 | − | 0.718406i | \(-0.744872\pi\) |
0.969970 | + | 0.243226i | \(0.0782056\pi\) | |||||||
\(20\) | −1.47357 | − | 0.454537i | −0.329501 | − | 0.101638i | ||||
\(21\) | −1.05580 | − | 4.45929i | −0.230395 | − | 0.973097i | ||||
\(22\) | −2.79693 | + | 0.862738i | −0.596307 | + | 0.183936i | ||||
\(23\) | −2.03038 | + | 8.89568i | −0.423364 | + | 1.85488i | 0.0888874 | + | 0.996042i | \(0.471669\pi\) |
−0.512251 | + | 0.858836i | \(0.671188\pi\) | |||||||
\(24\) | 0.649899 | − | 5.29223i | 0.132660 | − | 1.08027i | ||||
\(25\) | −0.101211 | + | 0.126914i | −0.0202421 | + | 0.0253828i | ||||
\(26\) | 3.15235 | + | 2.92496i | 0.618227 | + | 0.573631i | ||||
\(27\) | 5.14373 | + | 0.736265i | 0.989910 | + | 0.141694i | ||||
\(28\) | −1.85212 | + | 0.102852i | −0.350019 | + | 0.0194372i | ||||
\(29\) | −4.41877 | − | 1.36301i | −0.820544 | − | 0.253104i | −0.144067 | − | 0.989568i | \(-0.546018\pi\) |
−0.676477 | + | 0.736464i | \(0.736494\pi\) | |||||||
\(30\) | 3.81814 | + | 2.06701i | 0.697094 | + | 0.377383i | ||||
\(31\) | 1.61576 | − | 2.79857i | 0.290198 | − | 0.502638i | −0.683658 | − | 0.729802i | \(-0.739612\pi\) |
0.973857 | + | 0.227164i | \(0.0729454\pi\) | |||||||
\(32\) | −3.58955 | − | 1.10723i | −0.634548 | − | 0.195732i | ||||
\(33\) | −4.42507 | + | 0.453863i | −0.770306 | + | 0.0790074i | ||||
\(34\) | 0.852142 | + | 2.17122i | 0.146141 | + | 0.372361i | ||||
\(35\) | 1.82239 | − | 5.52654i | 0.308040 | − | 0.934155i | ||||
\(36\) | 0.660008 | − | 1.99711i | 0.110001 | − | 0.332852i | ||||
\(37\) | 5.05310 | + | 1.55867i | 0.830724 | + | 0.256245i | 0.680815 | − | 0.732455i | \(-0.261626\pi\) |
0.149909 | + | 0.988700i | \(0.452102\pi\) | |||||||
\(38\) | 1.69949 | + | 2.13109i | 0.275694 | + | 0.345709i | ||||
\(39\) | 3.82815 | + | 5.29692i | 0.612995 | + | 0.848186i | ||||
\(40\) | 4.22159 | − | 5.29370i | 0.667492 | − | 0.837008i | ||||
\(41\) | −4.74636 | − | 3.23602i | −0.741258 | − | 0.505381i | 0.132836 | − | 0.991138i | \(-0.457592\pi\) |
−0.874094 | + | 0.485757i | \(0.838544\pi\) | |||||||
\(42\) | 5.17049 | + | 0.736628i | 0.797824 | + | 0.113664i | ||||
\(43\) | −0.447630 | + | 0.305189i | −0.0682629 | + | 0.0465408i | −0.596971 | − | 0.802263i | \(-0.703629\pi\) |
0.528708 | + | 0.848804i | \(0.322677\pi\) | |||||||
\(44\) | −0.134560 | + | 1.79558i | −0.0202858 | + | 0.270695i | ||||
\(45\) | 5.07561 | + | 4.21630i | 0.756628 | + | 0.628529i | ||||
\(46\) | −8.59206 | − | 5.85797i | −1.26683 | − | 0.863710i | ||||
\(47\) | 2.06975 | − | 5.27363i | 0.301904 | − | 0.769238i | −0.696747 | − | 0.717317i | \(-0.745370\pi\) |
0.998651 | − | 0.0519216i | \(-0.0165346\pi\) | |||||||
\(48\) | 3.20811 | + | 1.73676i | 0.463051 | + | 0.250680i | ||||
\(49\) | −0.252996 | − | 6.99543i | −0.0361423 | − | 0.999347i | ||||
\(50\) | −0.0925022 | − | 0.160219i | −0.0130818 | − | 0.0226583i | ||||
\(51\) | 0.624184 | + | 3.48939i | 0.0874033 | + | 0.488612i | ||||
\(52\) | 2.38350 | − | 1.14783i | 0.330531 | − | 0.159176i | ||||
\(53\) | −7.50135 | + | 2.31386i | −1.03039 | + | 0.317833i | −0.763441 | − | 0.645878i | \(-0.776492\pi\) |
−0.266949 | + | 0.963711i | \(0.586015\pi\) | |||||||
\(54\) | −2.92282 | + | 5.15044i | −0.397745 | + | 0.700886i | ||||
\(55\) | −5.08932 | − | 2.45089i | −0.686244 | − | 0.330478i | ||||
\(56\) | 2.55065 | − | 7.73505i | 0.340845 | − | 1.03364i | ||||
\(57\) | 1.89898 | + | 3.68162i | 0.251526 | + | 0.487643i | ||||
\(58\) | 3.28588 | − | 4.12036i | 0.431457 | − | 0.541030i | ||||
\(59\) | −8.58751 | + | 5.85487i | −1.11800 | + | 0.762239i | −0.973822 | − | 0.227313i | \(-0.927006\pi\) |
−0.144177 | + | 0.989552i | \(0.546053\pi\) | |||||||
\(60\) | 2.04182 | − | 1.72192i | 0.263598 | − | 0.222300i | ||||
\(61\) | −5.50216 | + | 5.10526i | −0.704479 | + | 0.653661i | −0.948743 | − | 0.316048i | \(-0.897644\pi\) |
0.244264 | + | 0.969709i | \(0.421454\pi\) | |||||||
\(62\) | 2.29626 | + | 2.87942i | 0.291625 | + | 0.365686i | ||||
\(63\) | 7.48683 | + | 2.63579i | 0.943252 | + | 0.332078i | ||||
\(64\) | 5.29565 | − | 6.64054i | 0.661957 | − | 0.830067i | ||||
\(65\) | 0.620195 | + | 8.27593i | 0.0769258 | + | 1.02650i | ||||
\(66\) | 1.36098 | − | 4.88355i | 0.167525 | − | 0.601124i | ||||
\(67\) | −7.35380 | + | 12.7372i | −0.898410 | + | 1.55609i | −0.0688823 | + | 0.997625i | \(0.521943\pi\) |
−0.829527 | + | 0.558466i | \(0.811390\pi\) | |||||||
\(68\) | 1.43489 | 0.174006 | ||||||||
\(69\) | −11.0629 | − | 11.2862i | −1.33182 | − | 1.35870i | ||||
\(70\) | 5.10433 | + | 4.23448i | 0.610084 | + | 0.506118i | ||||
\(71\) | 1.89732 | − | 8.31272i | 0.225171 | − | 0.986538i | −0.728349 | − | 0.685207i | \(-0.759712\pi\) |
0.953519 | − | 0.301331i | \(-0.0974311\pi\) | |||||||
\(72\) | 7.10393 | + | 5.90122i | 0.837207 | + | 0.695465i | ||||
\(73\) | 4.24857 | + | 0.640370i | 0.497258 | + | 0.0749496i | 0.392883 | − | 0.919588i | \(-0.371478\pi\) |
0.104375 | + | 0.994538i | \(0.466716\pi\) | |||||||
\(74\) | −3.75758 | + | 4.71186i | −0.436810 | + | 0.547743i | ||||
\(75\) | −0.0902061 | − | 0.266299i | −0.0104161 | − | 0.0307496i | ||||
\(76\) | 1.60235 | − | 0.494260i | 0.183802 | − | 0.0566955i | ||||
\(77\) | −6.76479 | − | 0.638621i | −0.770920 | − | 0.0727776i | ||||
\(78\) | −7.21347 | + | 1.85580i | −0.816764 | + | 0.210128i | ||||
\(79\) | 1.58501 | + | 2.74532i | 0.178328 | + | 0.308873i | 0.941308 | − | 0.337549i | \(-0.109598\pi\) |
−0.762980 | + | 0.646422i | \(0.776265\pi\) | |||||||
\(80\) | 2.31627 | + | 4.01189i | 0.258967 | + | 0.448543i | ||||
\(81\) | −5.88806 | + | 6.80667i | −0.654229 | + | 0.756297i | ||||
\(82\) | 5.40937 | − | 3.68804i | 0.597364 | − | 0.407276i | ||||
\(83\) | −0.331350 | − | 0.844267i | −0.0363704 | − | 0.0926704i | 0.911535 | − | 0.411223i | \(-0.134898\pi\) |
−0.947905 | + | 0.318553i | \(0.896803\pi\) | |||||||
\(84\) | 1.58391 | − | 2.79536i | 0.172819 | − | 0.304999i | ||||
\(85\) | −1.64454 | + | 4.19022i | −0.178376 | + | 0.454493i | ||||
\(86\) | −0.137395 | − | 0.601965i | −0.0148156 | − | 0.0649115i | ||||
\(87\) | 6.12276 | − | 5.16349i | 0.656429 | − | 0.553584i | ||||
\(88\) | −7.12312 | − | 3.43032i | −0.759327 | − | 0.365673i | ||||
\(89\) | 3.62553 | + | 9.23771i | 0.384306 | + | 0.979195i | 0.983873 | + | 0.178871i | \(0.0572444\pi\) |
−0.599567 | + | 0.800325i | \(0.704660\pi\) | |||||||
\(90\) | −6.58644 | + | 3.62918i | −0.694272 | + | 0.382549i | ||||
\(91\) | 4.15688 | + | 9.07645i | 0.435759 | + | 0.951471i | ||||
\(92\) | −5.28569 | + | 3.60372i | −0.551072 | + | 0.375714i | ||||
\(93\) | 2.56580 | + | 4.97440i | 0.266061 | + | 0.515822i | ||||
\(94\) | 4.73303 | + | 4.39161i | 0.488174 | + | 0.452960i | ||||
\(95\) | −0.393113 | + | 5.24573i | −0.0403326 | + | 0.538201i | ||||
\(96\) | 4.97377 | − | 4.19452i | 0.507634 | − | 0.428101i | ||||
\(97\) | −6.73800 | + | 11.6706i | −0.684140 | + | 1.18497i | 0.289566 | + | 0.957158i | \(0.406489\pi\) |
−0.973706 | + | 0.227808i | \(0.926844\pi\) | |||||||
\(98\) | 7.52682 | + | 2.64431i | 0.760323 | + | 0.267116i | ||||
\(99\) | 3.48096 | − | 6.87348i | 0.349849 | − | 0.690811i | ||||
\(100\) | −0.112540 | + | 0.0169627i | −0.0112540 | + | 0.00169627i | ||||
\(101\) | 3.38243 | − | 1.62889i | 0.336565 | − | 0.162081i | −0.257966 | − | 0.966154i | \(-0.583052\pi\) |
0.594531 | + | 0.804073i | \(0.297338\pi\) | |||||||
\(102\) | −3.96180 | − | 0.790691i | −0.392277 | − | 0.0782901i | ||||
\(103\) | −15.4853 | + | 7.45731i | −1.52581 | + | 0.734791i | −0.993720 | − | 0.111898i | \(-0.964307\pi\) |
−0.532089 | + | 0.846688i | \(0.678593\pi\) | |||||||
\(104\) | 0.868038 | + | 11.5832i | 0.0851182 | + | 1.13582i | ||||
\(105\) | 6.34780 | + | 7.82921i | 0.619482 | + | 0.764052i | ||||
\(106\) | 0.668585 | − | 8.92164i | 0.0649387 | − | 0.866547i | ||||
\(107\) | 4.17064 | + | 10.6266i | 0.403191 | + | 1.02731i | 0.977922 | + | 0.208971i | \(0.0670115\pi\) |
−0.574731 | + | 0.818343i | \(0.694893\pi\) | |||||||
\(108\) | 2.29253 | + | 2.83135i | 0.220599 | + | 0.272446i | ||||
\(109\) | 0.318455 | − | 0.811409i | 0.0305024 | − | 0.0777189i | −0.914811 | − | 0.403882i | \(-0.867661\pi\) |
0.945314 | + | 0.326163i | \(0.105756\pi\) | |||||||
\(110\) | 4.71922 | − | 4.37880i | 0.449960 | − | 0.417502i | ||||
\(111\) | −7.00171 | + | 5.90473i | −0.664573 | + | 0.560452i | ||||
\(112\) | 4.28880 | + | 3.55793i | 0.405254 | + | 0.336193i | ||||
\(113\) | 1.99229 | + | 0.300289i | 0.187419 | + | 0.0282488i | 0.242081 | − | 0.970256i | \(-0.422170\pi\) |
−0.0546622 | + | 0.998505i | \(0.517408\pi\) | |||||||
\(114\) | −4.69654 | + | 0.481706i | −0.439871 | + | 0.0451159i | ||||
\(115\) | −4.46576 | − | 19.5658i | −0.416435 | − | 1.82452i | ||||
\(116\) | −1.62105 | − | 2.80774i | −0.150511 | − | 0.260693i | ||||
\(117\) | −11.3027 | + | 0.620213i | −1.04494 | + | 0.0573387i | ||||
\(118\) | −2.63583 | − | 11.5483i | −0.242648 | − | 1.06311i | ||||
\(119\) | −0.104632 | + | 5.41372i | −0.00959161 | + | 0.496275i | ||||
\(120\) | 3.76258 | + | 11.1076i | 0.343475 | + | 1.01398i | ||||
\(121\) | 0.980037 | − | 4.29382i | 0.0890943 | − | 0.390347i | ||||
\(122\) | −3.12523 | − | 7.96296i | −0.282945 | − | 0.720932i | ||||
\(123\) | 9.15895 | − | 3.88755i | 0.825834 | − | 0.350529i | ||||
\(124\) | 2.16501 | − | 0.667816i | 0.194423 | − | 0.0599717i | ||||
\(125\) | 2.52659 | − | 11.0697i | 0.225985 | − | 0.990105i | ||||
\(126\) | −5.91364 | + | 6.84533i | −0.526829 | + | 0.609831i | ||||
\(127\) | −1.24401 | − | 5.45036i | −0.110388 | − | 0.483641i | −0.999655 | − | 0.0262533i | \(-0.991642\pi\) |
0.889267 | − | 0.457388i | \(-0.151215\pi\) | |||||||
\(128\) | 1.08356 | + | 1.87679i | 0.0957745 | + | 0.165886i | ||||
\(129\) | −0.0257165 | − | 0.938017i | −0.00226421 | − | 0.0825878i | ||||
\(130\) | −9.03820 | − | 2.78792i | −0.792703 | − | 0.244516i | ||||
\(131\) | 14.5909 | + | 7.02661i | 1.27481 | + | 0.613918i | 0.944052 | − | 0.329796i | \(-0.106980\pi\) |
0.330762 | + | 0.943714i | \(0.392694\pi\) | |||||||
\(132\) | −2.49072 | − | 1.87696i | −0.216790 | − | 0.163369i | ||||
\(133\) | 1.74796 | + | 6.08159i | 0.151568 | + | 0.527341i | ||||
\(134\) | −10.4510 | − | 13.1051i | −0.902826 | − | 1.13211i | ||||
\(135\) | −10.8957 | + | 3.44971i | −0.937754 | + | 0.296904i | ||||
\(136\) | −2.30173 | + | 5.86472i | −0.197372 | + | 0.502896i | ||||
\(137\) | 13.8854 | + | 6.68688i | 1.18631 | + | 0.571298i | 0.919745 | − | 0.392517i | \(-0.128396\pi\) |
0.266569 | + | 0.963816i | \(0.414110\pi\) | |||||||
\(138\) | 16.5799 | − | 7.03740i | 1.41137 | − | 0.599063i | ||||
\(139\) | −7.11733 | − | 4.85252i | −0.603684 | − | 0.411585i | 0.222542 | − | 0.974923i | \(-0.428565\pi\) |
−0.826227 | + | 0.563338i | \(0.809517\pi\) | |||||||
\(140\) | 3.57212 | − | 1.97133i | 0.301899 | − | 0.166608i | ||||
\(141\) | 5.74769 | + | 7.95294i | 0.484043 | + | 0.669758i | ||||
\(142\) | 8.02900 | + | 5.47408i | 0.673779 | + | 0.459375i | ||||
\(143\) | 9.26000 | − | 2.85633i | 0.774360 | − | 0.238858i | ||||
\(144\) | −5.53411 | + | 3.04934i | −0.461176 | + | 0.254112i | ||||
\(145\) | 10.0572 | − | 1.51588i | 0.835205 | − | 0.125887i | ||||
\(146\) | −2.44837 | + | 4.24070i | −0.202628 | + | 0.350962i | ||||
\(147\) | 10.4312 | + | 6.17982i | 0.860350 | + | 0.509703i | ||||
\(148\) | 1.85376 | + | 3.21081i | 0.152378 | + | 0.263927i | ||||
\(149\) | −6.24073 | − | 7.82562i | −0.511260 | − | 0.641100i | 0.457467 | − | 0.889226i | \(-0.348757\pi\) |
−0.968728 | + | 0.248126i | \(0.920185\pi\) | |||||||
\(150\) | 0.320077 | + | 0.0151801i | 0.0261342 | + | 0.00123945i | ||||
\(151\) | −1.49629 | + | 6.55567i | −0.121766 | + | 0.533493i | 0.876843 | + | 0.480776i | \(0.159645\pi\) |
−0.998610 | + | 0.0527163i | \(0.983212\pi\) | |||||||
\(152\) | −0.550210 | + | 7.34204i | −0.0446279 | + | 0.595518i | ||||
\(153\) | −5.66936 | − | 2.35684i | −0.458340 | − | 0.190540i | ||||
\(154\) | 3.49420 | − | 6.91089i | 0.281571 | − | 0.556895i | ||||
\(155\) | −0.531153 | + | 7.08774i | −0.0426632 | + | 0.569301i | ||||
\(156\) | −0.558499 | + | 4.54794i | −0.0447157 | + | 0.364127i | ||||
\(157\) | −16.3637 | + | 11.1566i | −1.30597 | + | 0.890394i | −0.998135 | − | 0.0610464i | \(-0.980556\pi\) |
−0.307833 | + | 0.951440i | \(0.599604\pi\) | |||||||
\(158\) | −3.57248 | + | 0.538465i | −0.284211 | + | 0.0428380i | ||||
\(159\) | 3.65015 | − | 13.0977i | 0.289475 | − | 1.03871i | ||||
\(160\) | 8.16989 | − | 1.23141i | 0.645886 | − | 0.0973517i | ||||
\(161\) | −13.2111 | − | 20.2053i | −1.04118 | − | 1.59240i | ||||
\(162\) | −4.76959 | − | 9.08078i | −0.374734 | − | 0.713454i | ||||
\(163\) | 15.4643 | − | 10.5434i | 1.21126 | − | 0.825821i | 0.222438 | − | 0.974947i | \(-0.428598\pi\) |
0.988818 | + | 0.149126i | \(0.0476460\pi\) | |||||||
\(164\) | −0.896223 | − | 3.92661i | −0.0699833 | − | 0.306617i | ||||
\(165\) | 8.33584 | − | 5.12231i | 0.648944 | − | 0.398771i | ||||
\(166\) | 1.03365 | 0.0802269 | ||||||||
\(167\) | −3.60535 | + | 3.34527i | −0.278990 | + | 0.258865i | −0.807239 | − | 0.590224i | \(-0.799039\pi\) |
0.528249 | + | 0.849090i | \(0.322849\pi\) | |||||||
\(168\) | 8.88451 | + | 10.9579i | 0.685455 | + | 0.845422i | ||||
\(169\) | −0.907058 | − | 0.841627i | −0.0697737 | − | 0.0647405i | ||||
\(170\) | −3.76068 | − | 3.48940i | −0.288431 | − | 0.267625i | ||||
\(171\) | −7.14285 | − | 0.679047i | −0.546228 | − | 0.0519280i | ||||
\(172\) | −0.375600 | − | 0.0566125i | −0.0286392 | − | 0.00431666i | ||||
\(173\) | −3.65716 | + | 1.12809i | −0.278049 | + | 0.0857668i | −0.430643 | − | 0.902522i | \(-0.641713\pi\) |
0.152594 | + | 0.988289i | \(0.451237\pi\) | |||||||
\(174\) | 2.92861 | + | 8.64560i | 0.222017 | + | 0.655422i | ||||
\(175\) | −0.0557927 | − | 0.425844i | −0.00421753 | − | 0.0321908i | ||||
\(176\) | 3.96522 | − | 3.67919i | 0.298890 | − | 0.277329i | ||||
\(177\) | −0.493355 | − | 17.9953i | −0.0370829 | − | 1.35261i | ||||
\(178\) | −11.3099 | −0.847713 | ||||||||
\(179\) | 3.94679 | − | 3.66208i | 0.294997 | − | 0.273717i | −0.518763 | − | 0.854918i | \(-0.673607\pi\) |
0.813760 | + | 0.581201i | \(0.197417\pi\) | |||||||
\(180\) | 0.597966 | + | 4.58744i | 0.0445698 | + | 0.341928i | ||||
\(181\) | −11.3685 | + | 14.2556i | −0.845011 | + | 1.05961i | 0.152444 | + | 0.988312i | \(0.451286\pi\) |
−0.997455 | + | 0.0712985i | \(0.977286\pi\) | |||||||
\(182\) | −11.3601 | + | 0.630847i | −0.842064 | + | 0.0467615i | ||||
\(183\) | −2.28920 | − | 12.7973i | −0.169222 | − | 0.946006i | ||||
\(184\) | −6.25037 | − | 27.3847i | −0.460784 | − | 2.01882i | ||||
\(185\) | −11.5010 | + | 1.73349i | −0.845567 | + | 0.127449i | ||||
\(186\) | −6.34570 | + | 0.650854i | −0.465289 | + | 0.0477229i | ||||
\(187\) | 5.19736 | + | 0.783375i | 0.380068 | + | 0.0572861i | ||||
\(188\) | 3.57864 | − | 1.72338i | 0.260999 | − | 0.125691i | ||||
\(189\) | −10.8496 | + | 8.44308i | −0.789194 | + | 0.614144i | ||||
\(190\) | −5.40154 | − | 2.60124i | −0.391869 | − | 0.188714i | ||||
\(191\) | 10.5943 | + | 7.22305i | 0.766574 | + | 0.522641i | 0.882327 | − | 0.470637i | \(-0.155976\pi\) |
−0.115753 | + | 0.993278i | \(0.536928\pi\) | |||||||
\(192\) | 4.71986 | + | 13.9336i | 0.340626 | + | 1.00557i | ||||
\(193\) | −1.00766 | + | 13.4463i | −0.0725332 | + | 0.967889i | 0.835635 | + | 0.549284i | \(0.185100\pi\) |
−0.908169 | + | 0.418604i | \(0.862519\pi\) | |||||||
\(194\) | −9.57581 | − | 12.0077i | −0.687503 | − | 0.862102i | ||||
\(195\) | −12.6410 | − | 6.84340i | −0.905241 | − | 0.490066i | ||||
\(196\) | 3.20595 | − | 3.71598i | 0.228996 | − | 0.265427i | ||||
\(197\) | 4.14950 | 0.295639 | 0.147820 | − | 0.989014i | \(-0.452774\pi\) | ||||
0.147820 | + | 0.989014i | \(0.452774\pi\) | |||||||
\(198\) | 5.84272 | + | 6.55490i | 0.415224 | + | 0.465836i | ||||
\(199\) | −12.5929 | − | 8.58571i | −0.892689 | − | 0.608625i | 0.0277056 | − | 0.999616i | \(-0.491180\pi\) |
−0.920394 | + | 0.390991i | \(0.872132\pi\) | |||||||
\(200\) | 0.111198 | − | 0.487189i | 0.00786287 | − | 0.0344495i | ||||
\(201\) | −11.6777 | − | 22.6400i | −0.823684 | − | 1.59690i | ||||
\(202\) | 0.319742 | + | 4.26667i | 0.0224970 | + | 0.300202i | ||||
\(203\) | 10.7116 | − | 5.91137i | 0.751808 | − | 0.414897i | ||||
\(204\) | −1.34322 | + | 2.09105i | −0.0940440 | + | 0.146403i | ||||
\(205\) | 12.4938 | + | 1.88314i | 0.872607 | + | 0.131524i | ||||
\(206\) | −1.46383 | − | 19.5334i | −0.101990 | − | 1.36096i | ||||
\(207\) | 26.8034 | − | 5.55670i | 1.86297 | − | 0.386218i | ||||
\(208\) | −7.59415 | − | 2.34249i | −0.526560 | − | 0.162422i | ||||
\(209\) | 6.07377 | − | 0.915474i | 0.420131 | − | 0.0633246i | ||||
\(210\) | −10.9491 | + | 3.47453i | −0.755559 | + | 0.239765i | ||||
\(211\) | 26.4720 | + | 3.99002i | 1.82241 | + | 0.274684i | 0.969091 | − | 0.246704i | \(-0.0793475\pi\) |
0.853320 | + | 0.521388i | \(0.174586\pi\) | |||||||
\(212\) | −4.95878 | − | 2.38802i | −0.340571 | − | 0.164010i | ||||
\(213\) | 10.3379 | + | 10.5466i | 0.708343 | + | 0.722641i | ||||
\(214\) | −13.0104 | −0.889370 | ||||||||
\(215\) | 0.595801 | − | 1.03196i | 0.0406333 | − | 0.0703790i | ||||
\(216\) | −15.2499 | + | 4.82828i | −1.03762 | + | 0.328523i | ||||
\(217\) | 2.36175 | + | 8.21711i | 0.160326 | + | 0.557814i | ||||
\(218\) | 0.728231 | + | 0.675699i | 0.0493220 | + | 0.0457641i | ||||
\(219\) | −4.91035 | + | 5.59195i | −0.331811 | + | 0.377869i | ||||
\(220\) | −1.44690 | − | 3.68664i | −0.0975500 | − | 0.248553i | ||||
\(221\) | −2.82125 | − | 7.18843i | −0.189778 | − | 0.483546i | ||||
\(222\) | −3.34902 | − | 9.88672i | −0.224772 | − | 0.663553i | ||||
\(223\) | −4.77898 | − | 4.43424i | −0.320024 | − | 0.296939i | 0.503759 | − | 0.863844i | \(-0.331950\pi\) |
−0.823783 | + | 0.566905i | \(0.808141\pi\) | |||||||
\(224\) | 8.70149 | − | 4.80205i | 0.581393 | − | 0.320850i | ||||
\(225\) | 0.472518 | + | 0.117830i | 0.0315012 | + | 0.00785532i | ||||
\(226\) | −1.14811 | + | 1.98859i | −0.0763714 | + | 0.132279i | ||||
\(227\) | 27.7640 | 1.84276 | 0.921382 | − | 0.388659i | \(-0.127062\pi\) | ||||
0.921382 | + | 0.388659i | \(0.127062\pi\) | |||||||
\(228\) | −0.779702 | + | 2.79777i | −0.0516370 | + | 0.185287i | ||||
\(229\) | 23.2286 | + | 11.1863i | 1.53499 | + | 0.739212i | 0.994754 | − | 0.102300i | \(-0.0326203\pi\) |
0.540237 | + | 0.841513i | \(0.318335\pi\) | |||||||
\(230\) | 22.6168 | + | 3.40894i | 1.49131 | + | 0.224779i | ||||
\(231\) | 7.26327 | − | 9.26044i | 0.477888 | − | 0.609292i | ||||
\(232\) | 14.0763 | − | 2.12166i | 0.924152 | − | 0.139294i | ||||
\(233\) | −19.7786 | − | 6.10088i | −1.29574 | − | 0.399682i | −0.431202 | − | 0.902255i | \(-0.641910\pi\) |
−0.864534 | + | 0.502574i | \(0.832387\pi\) | |||||||
\(234\) | 4.04818 | − | 12.2493i | 0.264638 | − | 0.800765i | ||||
\(235\) | 0.931178 | + | 12.4257i | 0.0607433 | + | 0.810564i | ||||
\(236\) | −7.20565 | − | 1.08608i | −0.469048 | − | 0.0706976i | ||||
\(237\) | −5.48448 | − | 0.260109i | −0.356255 | − | 0.0168959i | ||||
\(238\) | −5.69987 | − | 2.36514i | −0.369468 | − | 0.153309i | ||||
\(239\) | −1.91525 | − | 25.5572i | −0.123887 | − | 1.65316i | −0.619782 | − | 0.784774i | \(-0.712779\pi\) |
0.495896 | − | 0.868382i | \(-0.334840\pi\) | |||||||
\(240\) | −8.01478 | − | 0.380112i | −0.517352 | − | 0.0245361i | ||||
\(241\) | 5.82003 | − | 25.4992i | 0.374901 | − | 1.64255i | −0.337901 | − | 0.941182i | \(-0.609717\pi\) |
0.712801 | − | 0.701366i | \(-0.247426\pi\) | |||||||
\(242\) | 4.14727 | + | 2.82756i | 0.266597 | + | 0.181763i | ||||
\(243\) | −4.40740 | − | 14.9524i | −0.282735 | − | 0.959198i | ||||
\(244\) | −5.26245 | −0.336894 | ||||||||
\(245\) | 7.17719 | + | 13.6211i | 0.458534 | + | 0.870219i | ||||
\(246\) | 0.310770 | + | 11.3354i | 0.0198140 | + | 0.722721i | ||||
\(247\) | −5.62663 | − | 7.05557i | −0.358014 | − | 0.448935i | ||||
\(248\) | −0.743412 | + | 9.92015i | −0.0472067 | + | 0.629930i | ||||
\(249\) | 1.54052 | + | 0.307456i | 0.0976267 | + | 0.0194842i | ||||
\(250\) | 10.6919 | + | 7.28961i | 0.676215 | + | 0.461035i | ||||
\(251\) | 19.7030 | + | 9.48845i | 1.24364 | + | 0.598906i | 0.935800 | − | 0.352532i | \(-0.114679\pi\) |
0.307841 | + | 0.951438i | \(0.400393\pi\) | |||||||
\(252\) | 2.59093 | + | 4.92499i | 0.163213 | + | 0.310245i | ||||
\(253\) | −21.1129 | + | 10.1675i | −1.32736 | + | 0.639222i | ||||
\(254\) | 6.30027 | + | 0.949614i | 0.395314 | + | 0.0595841i | ||||
\(255\) | −4.56689 | − | 6.31909i | −0.285990 | − | 0.395717i | ||||
\(256\) | 14.3551 | − | 2.16369i | 0.897196 | − | 0.135231i | ||||
\(257\) | −2.84742 | − | 12.4753i | −0.177617 | − | 0.778190i | −0.982726 | − | 0.185064i | \(-0.940751\pi\) |
0.805110 | − | 0.593126i | \(-0.202106\pi\) | |||||||
\(258\) | 1.00585 | + | 0.363283i | 0.0626217 | + | 0.0226170i | ||||
\(259\) | −12.2493 | + | 6.75997i | −0.761135 | + | 0.420044i | ||||
\(260\) | −3.62787 | + | 4.54921i | −0.224991 | + | 0.282130i | ||||
\(261\) | 1.79311 | + | 13.7562i | 0.110990 | + | 0.851490i | ||||
\(262\) | −13.5298 | + | 12.5539i | −0.835876 | + | 0.775580i | ||||
\(263\) | −12.6394 | −0.779381 | −0.389691 | − | 0.920946i | \(-0.627418\pi\) | ||||
−0.389691 | + | 0.920946i | \(0.627418\pi\) | |||||||
\(264\) | 11.6670 | − | 7.16929i | 0.718055 | − | 0.441239i | ||||
\(265\) | 12.6569 | − | 11.7439i | 0.777509 | − | 0.721423i | ||||
\(266\) | −7.17979 | − | 0.677798i | −0.440221 | − | 0.0415585i | ||||
\(267\) | −16.8559 | − | 3.36409i | −1.03157 | − | 0.205879i | ||||
\(268\) | −9.85361 | + | 3.03944i | −0.601905 | + | 0.185663i | ||||
\(269\) | −1.69890 | − | 0.256068i | −0.103584 | − | 0.0156127i | 0.0970459 | − | 0.995280i | \(-0.469061\pi\) |
−0.200629 | + | 0.979667i | \(0.564299\pi\) | |||||||
\(270\) | 0.876883 | − | 12.9957i | 0.0533654 | − | 0.790892i | ||||
\(271\) | −3.15185 | − | 2.92449i | −0.191461 | − | 0.177650i | 0.578617 | − | 0.815599i | \(-0.303593\pi\) |
−0.770078 | + | 0.637949i | \(0.779783\pi\) | |||||||
\(272\) | −3.15983 | − | 2.93189i | −0.191593 | − | 0.177772i | ||||
\(273\) | −17.1183 | − | 2.43881i | −1.03605 | − | 0.147604i | ||||
\(274\) | −12.8757 | + | 11.9469i | −0.777848 | + | 0.721737i | ||||
\(275\) | −0.416897 | −0.0251399 | ||||||||
\(276\) | −0.303665 | − | 11.0763i | −0.0182785 | − | 0.666714i | ||||
\(277\) | 6.25160 | + | 27.3900i | 0.375622 | + | 1.64571i | 0.710684 | + | 0.703511i | \(0.248386\pi\) |
−0.335062 | + | 0.942196i | \(0.608757\pi\) | |||||||
\(278\) | 8.11153 | − | 5.53035i | 0.486497 | − | 0.331688i | ||||
\(279\) | −9.65103 | − | 0.917491i | −0.577792 | − | 0.0549287i | ||||
\(280\) | 2.32716 | + | 17.7623i | 0.139075 | + | 1.06150i | ||||
\(281\) | −15.1021 | + | 2.27627i | −0.900914 | + | 0.135791i | −0.583136 | − | 0.812374i | \(-0.698175\pi\) |
−0.317778 | + | 0.948165i | \(0.602937\pi\) | |||||||
\(282\) | −10.8305 | + | 2.78635i | −0.644946 | + | 0.165925i | ||||
\(283\) | −7.73215 | + | 1.16543i | −0.459629 | + | 0.0692779i | −0.374775 | − | 0.927116i | \(-0.622280\pi\) |
−0.0848531 | + | 0.996393i | \(0.527042\pi\) | |||||||
\(284\) | 4.93931 | − | 3.36756i | 0.293094 | − | 0.199828i | ||||
\(285\) | −7.27655 | − | 5.48348i | −0.431026 | − | 0.324813i | ||||
\(286\) | −0.825331 | + | 11.0133i | −0.0488028 | + | 0.651228i | ||||
\(287\) | 14.8802 | − | 3.09505i | 0.878348 | − | 0.182695i | ||||
\(288\) | 1.45661 | + | 11.1748i | 0.0858318 | + | 0.658480i | ||||
\(289\) | −0.957406 | + | 12.7757i | −0.0563180 | + | 0.751512i | ||||
\(290\) | −2.57936 | + | 11.3009i | −0.151465 | + | 0.663612i | ||||
\(291\) | −10.6999 | − | 20.7442i | −0.627237 | − | 1.21605i | ||||
\(292\) | 1.87819 | + | 2.35518i | 0.109913 | + | 0.137827i | ||||
\(293\) | −4.32567 | − | 7.49228i | −0.252708 | − | 0.437704i | 0.711562 | − | 0.702623i | \(-0.247988\pi\) |
−0.964271 | + | 0.264919i | \(0.914655\pi\) | |||||||
\(294\) | −10.8995 | + | 8.49338i | −0.635670 | + | 0.495344i | ||||
\(295\) | 11.4301 | − | 19.7975i | 0.665486 | − | 1.15266i | ||||
\(296\) | −16.0970 | + | 2.42623i | −0.935618 | + | 0.141022i | ||||
\(297\) | 6.75808 | + | 11.5071i | 0.392144 | + | 0.667711i | ||||
\(298\) | 10.9007 | − | 3.36242i | 0.631461 | − | 0.194780i | ||||
\(299\) | 28.4464 | + | 19.3944i | 1.64510 | + | 1.12161i | ||||
\(300\) | 0.0806309 | − | 0.179883i | 0.00465523 | − | 0.0103856i | ||||
\(301\) | 0.240984 | − | 1.41298i | 0.0138901 | − | 0.0814428i | ||||
\(302\) | −6.33192 | − | 4.31703i | −0.364361 | − | 0.248417i | ||||
\(303\) | −0.792569 | + | 6.45401i | −0.0455319 | + | 0.370773i | ||||
\(304\) | −4.53852 | − | 2.18564i | −0.260302 | − | 0.125355i | ||||
\(305\) | 6.03136 | − | 15.3676i | 0.345354 | − | 0.879949i | ||||
\(306\) | 4.86096 | − | 5.03331i | 0.277882 | − | 0.287735i | ||||
\(307\) | 17.3244 | + | 21.7241i | 0.988755 | + | 1.23986i | 0.970768 | + | 0.240022i | \(0.0771545\pi\) |
0.0179876 | + | 0.999838i | \(0.494274\pi\) | |||||||
\(308\) | −3.17225 | − | 3.55422i | −0.180756 | − | 0.202520i | ||||
\(309\) | 3.62850 | − | 29.5474i | 0.206418 | − | 1.68089i | ||||
\(310\) | −7.29826 | − | 3.51465i | −0.414513 | − | 0.199619i | ||||
\(311\) | −4.45408 | − | 1.37390i | −0.252568 | − | 0.0779068i | 0.165886 | − | 0.986145i | \(-0.446952\pi\) |
−0.418454 | + | 0.908238i | \(0.637428\pi\) | |||||||
\(312\) | −17.6926 | − | 9.57817i | −1.00165 | − | 0.542257i | ||||
\(313\) | −8.77619 | − | 15.2008i | −0.496060 | − | 0.859201i | 0.503930 | − | 0.863745i | \(-0.331887\pi\) |
−0.999990 | + | 0.00454372i | \(0.998554\pi\) | |||||||
\(314\) | −5.02265 | − | 22.0057i | −0.283445 | − | 1.24185i | ||||
\(315\) | −17.3517 | + | 1.92156i | −0.977656 | + | 0.108268i | ||||
\(316\) | −0.494565 | + | 2.16683i | −0.0278214 | + | 0.121894i | ||||
\(317\) | 3.58308 | − | 1.10523i | 0.201246 | − | 0.0620761i | −0.192493 | − | 0.981298i | \(-0.561657\pi\) |
0.393739 | + | 0.919222i | \(0.371181\pi\) | |||||||
\(318\) | 12.3755 | + | 9.32599i | 0.693986 | + | 0.522975i | ||||
\(319\) | −4.33878 | − | 11.0550i | −0.242925 | − | 0.618963i | ||||
\(320\) | −4.15699 | + | 18.2130i | −0.232383 | + | 1.01814i | ||||
\(321\) | −19.3902 | − | 3.86988i | −1.08226 | − | 0.215996i | ||||
\(322\) | 26.9367 | − | 5.60279i | 1.50112 | − | 0.312231i | ||||
\(323\) | −1.08919 | − | 4.77205i | −0.0606041 | − | 0.265524i | ||||
\(324\) | −6.27216 | + | 0.690421i | −0.348453 | + | 0.0383567i | ||||
\(325\) | 0.306254 | + | 0.530448i | 0.0169879 | + | 0.0294239i | ||||
\(326\) | 4.74658 | + | 20.7961i | 0.262889 | + | 1.15179i | ||||
\(327\) | 0.884348 | + | 1.22365i | 0.0489046 | + | 0.0676680i | ||||
\(328\) | 17.4866 | + | 2.63568i | 0.965537 | + | 0.145531i | ||||
\(329\) | 6.24124 | + | 13.6276i | 0.344091 | + | 0.751315i | ||||
\(330\) | 1.96345 | + | 10.9763i | 0.108084 | + | 0.604227i | ||||
\(331\) | −12.4345 | + | 11.5375i | −0.683462 | + | 0.634160i | −0.943474 | − | 0.331445i | \(-0.892464\pi\) |
0.260012 | + | 0.965605i | \(0.416273\pi\) | |||||||
\(332\) | 0.232315 | − | 0.591929i | 0.0127499 | − | 0.0324863i | ||||
\(333\) | −2.05051 | − | 15.7310i | −0.112367 | − | 0.862054i | ||||
\(334\) | −2.04784 | − | 5.21781i | −0.112053 | − | 0.285506i | ||||
\(335\) | 2.41744 | − | 32.2585i | 0.132079 | − | 1.76247i | ||||
\(336\) | −9.19974 | + | 2.91940i | −0.501887 | + | 0.159266i | ||||
\(337\) | −0.304341 | − | 4.06114i | −0.0165785 | − | 0.221225i | −0.999339 | − | 0.0363434i | \(-0.988429\pi\) |
0.982761 | − | 0.184881i | \(-0.0591900\pi\) | |||||||
\(338\) | 1.27056 | − | 0.611870i | 0.0691094 | − | 0.0332813i | ||||
\(339\) | −2.30261 | + | 2.62224i | −0.125061 | + | 0.142420i | ||||
\(340\) | −2.84345 | + | 1.36933i | −0.154208 | + | 0.0742626i | ||||
\(341\) | 8.20654 | − | 1.23694i | 0.444409 | − | 0.0669839i | ||||
\(342\) | 3.69450 | − | 7.29514i | 0.199776 | − | 0.394476i | ||||
\(343\) | 13.7863 | + | 12.3668i | 0.744392 | + | 0.667743i | ||||
\(344\) | 0.833896 | − | 1.44435i | 0.0449606 | − | 0.0778741i | ||||
\(345\) | 32.6935 | + | 11.8079i | 1.76016 | + | 0.635715i | ||||
\(346\) | 0.325958 | − | 4.34960i | 0.0175236 | − | 0.233836i | ||||
\(347\) | −4.15321 | − | 3.85362i | −0.222956 | − | 0.206873i | 0.560784 | − | 0.827962i | \(-0.310500\pi\) |
−0.783740 | + | 0.621089i | \(0.786690\pi\) | |||||||
\(348\) | 5.60918 | + | 0.266023i | 0.300684 | + | 0.0142604i | ||||
\(349\) | 3.05567 | − | 2.08332i | 0.163566 | − | 0.111518i | −0.478771 | − | 0.877940i | \(-0.658917\pi\) |
0.642337 | + | 0.766423i | \(0.277965\pi\) | |||||||
\(350\) | 0.475010 | + | 0.118120i | 0.0253903 | + | 0.00631376i | ||||
\(351\) | 9.67680 | − | 17.0519i | 0.516509 | − | 0.910165i | ||||
\(352\) | −3.52457 | − | 8.98047i | −0.187860 | − | 0.478661i | ||||
\(353\) | −4.86123 | − | 2.34104i | −0.258737 | − | 0.124601i | 0.300019 | − | 0.953933i | \(-0.403007\pi\) |
−0.558756 | + | 0.829332i | \(0.688721\pi\) | |||||||
\(354\) | 19.2967 | + | 6.96937i | 1.02561 | + | 0.370418i | ||||
\(355\) | 4.17311 | + | 18.2836i | 0.221486 | + | 0.970392i | ||||
\(356\) | −2.54192 | + | 6.47671i | −0.134721 | + | 0.343265i | ||||
\(357\) | −7.79142 | − | 5.22034i | −0.412365 | − | 0.276289i | ||||
\(358\) | 2.24178 | + | 5.71196i | 0.118482 | + | 0.301886i | ||||
\(359\) | −8.81747 | + | 6.01165i | −0.465368 | + | 0.317283i | −0.773205 | − | 0.634157i | \(-0.781347\pi\) |
0.307836 | + | 0.951439i | \(0.400395\pi\) | |||||||
\(360\) | −19.7092 | − | 4.91479i | −1.03876 | − | 0.259032i | ||||
\(361\) | 6.63992 | + | 11.5007i | 0.349469 | + | 0.605299i | ||||
\(362\) | −10.3903 | − | 17.9965i | −0.546102 | − | 0.945876i | ||||
\(363\) | 5.33992 | + | 5.44770i | 0.280273 | + | 0.285930i | ||||
\(364\) | −2.19193 | + | 6.64721i | −0.114888 | + | 0.348409i | ||||
\(365\) | −9.03032 | + | 2.78549i | −0.472669 | + | 0.145799i | ||||
\(366\) | 14.5299 | + | 2.89986i | 0.759490 | + | 0.151578i | ||||
\(367\) | 11.6235 | − | 14.5754i | 0.606741 | − | 0.760829i | −0.379671 | − | 0.925122i | \(-0.623963\pi\) |
0.986412 | + | 0.164293i | \(0.0525342\pi\) | |||||||
\(368\) | 19.0033 | + | 2.86429i | 0.990616 | + | 0.149311i | ||||
\(369\) | −2.90852 | + | 16.9864i | −0.151411 | + | 0.884278i | ||||
\(370\) | 2.94963 | − | 12.9232i | 0.153344 | − | 0.671845i | ||||
\(371\) | 9.37143 | − | 18.5350i | 0.486541 | − | 0.962289i | ||||
\(372\) | −1.05349 | + | 3.78019i | −0.0546209 | + | 0.195994i | ||||
\(373\) | −8.58752 | −0.444645 | −0.222323 | − | 0.974973i | \(-0.571364\pi\) | ||||
−0.222323 | + | 0.974973i | \(0.571364\pi\) | |||||||
\(374\) | −2.99513 | + | 5.18772i | −0.154874 | + | 0.268250i | ||||
\(375\) | 13.7666 | + | 14.0445i | 0.710904 | + | 0.725253i | ||||
\(376\) | 1.30330 | + | 17.3913i | 0.0672123 | + | 0.896886i | ||||
\(377\) | −10.8788 | + | 13.6416i | −0.560287 | + | 0.702578i | ||||
\(378\) | −4.43979 | − | 15.0259i | −0.228358 | − | 0.772848i | ||||
\(379\) | 15.6700 | + | 19.6496i | 0.804916 | + | 1.00933i | 0.999595 | + | 0.0284655i | \(0.00906206\pi\) |
−0.194679 | + | 0.980867i | \(0.562367\pi\) | |||||||
\(380\) | −2.70363 | + | 2.50860i | −0.138693 | + | 0.128688i | ||||
\(381\) | 9.10728 | + | 3.28927i | 0.466580 | + | 0.168514i | ||||
\(382\) | −12.0741 | + | 8.23200i | −0.617766 | + | 0.421186i | ||||
\(383\) | −3.34512 | + | 4.19464i | −0.170928 | + | 0.214336i | −0.859915 | − | 0.510436i | \(-0.829484\pi\) |
0.688988 | + | 0.724773i | \(0.258055\pi\) | |||||||
\(384\) | −3.74936 | − | 0.177819i | −0.191334 | − | 0.00907428i | ||||
\(385\) | 14.0149 | − | 5.19022i | 0.714267 | − | 0.264518i | ||||
\(386\) | −13.8457 | − | 6.66774i | −0.704728 | − | 0.339379i | ||||
\(387\) | 1.39104 | + | 0.840613i | 0.0707103 | + | 0.0427308i | ||||
\(388\) | −9.02848 | + | 2.78492i | −0.458352 | + | 0.141383i | ||||
\(389\) | −23.7580 | + | 11.4413i | −1.20458 | + | 0.580095i | −0.924978 | − | 0.380021i | \(-0.875917\pi\) |
−0.279602 | + | 0.960116i | \(0.590202\pi\) | |||||||
\(390\) | 12.5236 | − | 10.5615i | 0.634156 | − | 0.534801i | ||||
\(391\) | 9.33694 | + | 16.1721i | 0.472190 | + | 0.817856i | ||||
\(392\) | 10.0453 | + | 19.0643i | 0.507366 | + | 0.962895i | ||||
\(393\) | −23.8986 | + | 14.6855i | −1.20552 | + | 0.740785i | ||||
\(394\) | −1.72774 | + | 4.40222i | −0.0870424 | + | 0.221780i | ||||
\(395\) | −5.76085 | − | 3.92768i | −0.289860 | − | 0.197623i | ||||
\(396\) | 5.06688 | − | 1.87266i | 0.254620 | − | 0.0941045i | ||||
\(397\) | −0.726604 | + | 9.69586i | −0.0364672 | + | 0.486621i | 0.948832 | + | 0.315782i | \(0.102267\pi\) |
−0.985299 | + | 0.170839i | \(0.945352\pi\) | |||||||
\(398\) | 14.3520 | − | 9.78501i | 0.719400 | − | 0.490478i | ||||
\(399\) | −10.4989 | − | 3.14577i | −0.525604 | − | 0.157485i | ||||
\(400\) | 0.282490 | + | 0.192598i | 0.0141245 | + | 0.00962992i | ||||
\(401\) | 9.01343 | − | 11.3025i | 0.450109 | − | 0.564419i | −0.504067 | − | 0.863665i | \(-0.668164\pi\) |
0.954176 | + | 0.299245i | \(0.0967349\pi\) | |||||||
\(402\) | 28.8812 | − | 2.96223i | 1.44046 | − | 0.147743i | ||||
\(403\) | −7.60239 | − | 9.53310i | −0.378702 | − | 0.474877i | ||||
\(404\) | 2.51520 | + | 0.775837i | 0.125136 | + | 0.0385994i | ||||
\(405\) | 5.17239 | − | 19.1075i | 0.257018 | − | 0.949461i | ||||
\(406\) | 1.81135 | + | 13.8253i | 0.0898959 | + | 0.686140i | ||||
\(407\) | 4.96163 | + | 12.6420i | 0.245939 | + | 0.626642i | ||||
\(408\) | −6.39191 | − | 8.84433i | −0.316447 | − | 0.437860i | ||||
\(409\) | 9.97288 | + | 3.07622i | 0.493127 | + | 0.152110i | 0.531338 | − | 0.847160i | \(-0.321690\pi\) |
−0.0382106 | + | 0.999270i | \(0.512166\pi\) | |||||||
\(410\) | −7.19994 | + | 12.4707i | −0.355580 | + | 0.615882i | ||||
\(411\) | −22.7431 | + | 13.9754i | −1.12183 | + | 0.689358i | ||||
\(412\) | −11.5150 | − | 3.55189i | −0.567301 | − | 0.174989i | ||||
\(413\) | 4.62313 | − | 27.1072i | 0.227489 | − | 1.33386i | ||||
\(414\) | −5.26512 | + | 30.7495i | −0.258767 | + | 1.51126i | ||||
\(415\) | 1.46232 | + | 1.35683i | 0.0717824 | + | 0.0666043i | ||||
\(416\) | −8.83731 | + | 11.0816i | −0.433285 | + | 0.543322i | ||||
\(417\) | 13.7342 | − | 5.82951i | 0.672564 | − | 0.285473i | ||||
\(418\) | −1.55773 | + | 6.82487i | −0.0761911 | + | 0.333815i | ||||
\(419\) | 4.80052 | − | 1.48076i | 0.234521 | − | 0.0723400i | −0.175267 | − | 0.984521i | \(-0.556079\pi\) |
0.409788 | + | 0.912181i | \(0.365603\pi\) | |||||||
\(420\) | −0.471111 | + | 7.05099i | −0.0229879 | + | 0.344053i | ||||
\(421\) | 23.3803 | + | 7.21188i | 1.13949 | + | 0.351486i | 0.806377 | − | 0.591402i | \(-0.201425\pi\) |
0.333111 | + | 0.942887i | \(0.391901\pi\) | |||||||
\(422\) | −15.2553 | + | 26.4230i | −0.742616 | + | 1.28625i | ||||
\(423\) | −16.9702 | + | 0.931204i | −0.825120 | + | 0.0452767i | ||||
\(424\) | 17.7149 | − | 16.4370i | 0.860312 | − | 0.798253i | ||||
\(425\) | 0.0248268 | + | 0.331291i | 0.00120428 | + | 0.0160700i | ||||
\(426\) | −15.4934 | + | 6.57622i | −0.750656 | + | 0.318619i | ||||
\(427\) | 0.383738 | − | 19.8548i | 0.0185704 | − | 0.960843i | ||||
\(428\) | −2.92410 | + | 7.45049i | −0.141342 | + | 0.360133i | ||||
\(429\) | −4.50590 | + | 16.1683i | −0.217547 | + | 0.780615i | ||||
\(430\) | 0.846732 | + | 1.06177i | 0.0408330 | + | 0.0512030i | ||||
\(431\) | 2.79956 | + | 37.3575i | 0.134850 | + | 1.79945i | 0.497439 | + | 0.867499i | \(0.334274\pi\) |
−0.362589 | + | 0.931949i | \(0.618107\pi\) | |||||||
\(432\) | 0.736782 | − | 10.9193i | 0.0354484 | − | 0.525357i | ||||
\(433\) | −16.7181 | + | 8.05102i | −0.803421 | + | 0.386907i | −0.790080 | − | 0.613004i | \(-0.789961\pi\) |
−0.0133410 | + | 0.999911i | \(0.504247\pi\) | |||||||
\(434\) | −9.70093 | − | 0.915803i | −0.465660 | − | 0.0439599i | ||||
\(435\) | −7.20560 | + | 16.0753i | −0.345482 | + | 0.770751i | ||||
\(436\) | 0.550616 | − | 0.265162i | 0.0263697 | − | 0.0126990i | ||||
\(437\) | 15.9973 | + | 14.8433i | 0.765253 | + | 0.710051i | ||||
\(438\) | −3.88797 | − | 7.53775i | −0.185775 | − | 0.360168i | ||||
\(439\) | −12.3688 | + | 31.5152i | −0.590330 | + | 1.50414i | 0.253396 | + | 0.967363i | \(0.418452\pi\) |
−0.843726 | + | 0.536774i | \(0.819643\pi\) | |||||||
\(440\) | 17.3892 | 0.828996 | ||||||||
\(441\) | −18.7706 | + | 9.41626i | −0.893836 | + | 0.448393i | ||||
\(442\) | 8.80092 | 0.418617 | ||||||||
\(443\) | −1.78404 | + | 4.54565i | −0.0847622 | + | 0.215971i | −0.966970 | − | 0.254889i | \(-0.917961\pi\) |
0.882208 | + | 0.470860i | \(0.156056\pi\) | |||||||
\(444\) | −6.41441 | − | 0.304212i | −0.304414 | − | 0.0144373i | ||||
\(445\) | −16.0002 | − | 14.8461i | −0.758484 | − | 0.703770i | ||||
\(446\) | 6.69415 | − | 3.22373i | 0.316977 | − | 0.152648i | ||||
\(447\) | 17.2462 | − | 1.76888i | 0.815718 | − | 0.0836651i | ||||
\(448\) | 2.91925 | + | 22.2814i | 0.137921 | + | 1.05270i | ||||
\(449\) | −16.6876 | + | 8.03633i | −0.787537 | + | 0.379258i | −0.784020 | − | 0.620736i | \(-0.786834\pi\) |
−0.00351727 | + | 0.999994i | \(0.501120\pi\) | |||||||
\(450\) | −0.321750 | + | 0.452235i | −0.0151675 | + | 0.0213186i | ||||
\(451\) | −1.10251 | − | 14.7120i | −0.0519153 | − | 0.692761i | ||||
\(452\) | 0.880743 | + | 1.10442i | 0.0414267 | + | 0.0519474i | ||||
\(453\) | −8.15281 | − | 8.31737i | −0.383052 | − | 0.390784i | ||||
\(454\) | −11.5602 | + | 29.4550i | −0.542548 | + | 1.38239i | ||||
\(455\) | −16.8993 | − | 14.0194i | −0.792251 | − | 0.657241i | ||||
\(456\) | −10.1844 | − | 7.67479i | −0.476929 | − | 0.359405i | ||||
\(457\) | −1.95714 | − | 26.1163i | −0.0915513 | − | 1.22167i | −0.834000 | − | 0.551764i | \(-0.813955\pi\) |
0.742449 | − | 0.669903i | \(-0.233664\pi\) | |||||||
\(458\) | −21.5394 | + | 19.9856i | −1.00647 | + | 0.933868i | ||||
\(459\) | 8.74176 | − | 6.05562i | 0.408030 | − | 0.282652i | ||||
\(460\) | 7.03533 | − | 12.1856i | 0.328024 | − | 0.568154i | ||||
\(461\) | 4.30686 | + | 1.32849i | 0.200590 | + | 0.0618739i | 0.393422 | − | 0.919358i | \(-0.371291\pi\) |
−0.192832 | + | 0.981232i | \(0.561767\pi\) | |||||||
\(462\) | 6.80020 | + | 11.5614i | 0.316374 | + | 0.537887i | ||||
\(463\) | 25.6078 | − | 7.89895i | 1.19009 | − | 0.367095i | 0.364416 | − | 0.931236i | \(-0.381269\pi\) |
0.825678 | + | 0.564141i | \(0.190793\pi\) | |||||||
\(464\) | −2.16725 | + | 9.49534i | −0.100612 | + | 0.440810i | ||||
\(465\) | −9.83167 | − | 7.40897i | −0.455933 | − | 0.343583i | ||||
\(466\) | 14.7077 | − | 18.4429i | 0.681322 | − | 0.854351i | ||||
\(467\) | 9.92612 | + | 9.21010i | 0.459326 | + | 0.426193i | 0.875593 | − | 0.483050i | \(-0.160471\pi\) |
−0.416266 | + | 0.909243i | \(0.636662\pi\) | |||||||
\(468\) | −6.10485 | − | 5.07128i | −0.282197 | − | 0.234420i | ||||
\(469\) | −10.7490 | − | 37.3986i | −0.496344 | − | 1.72691i | ||||
\(470\) | −13.5702 | − | 4.18585i | −0.625946 | − | 0.193079i | ||||
\(471\) | −0.940102 | − | 34.2905i | −0.0433176 | − | 1.58002i | ||||
\(472\) | 15.9978 | − | 27.7090i | 0.736358 | − | 1.27541i | ||||
\(473\) | −1.32956 | − | 0.410116i | −0.0611334 | − | 0.0188572i | ||||
\(474\) | 2.55955 | − | 5.71020i | 0.117564 | − | 0.262278i | ||||
\(475\) | 0.141840 | + | 0.361403i | 0.00650808 | + | 0.0165823i | ||||
\(476\) | −2.63547 | + | 2.73251i | −0.120797 | + | 0.125244i | ||||
\(477\) | 15.6702 | + | 17.5802i | 0.717487 | + | 0.804943i | ||||
\(478\) | 27.9112 | + | 8.60945i | 1.27663 | + | 0.393787i | ||||
\(479\) | 18.6800 | + | 23.4240i | 0.853511 | + | 1.07027i | 0.996748 | + | 0.0805810i | \(0.0256776\pi\) |
−0.143237 | + | 0.989688i | \(0.545751\pi\) | |||||||
\(480\) | −5.85341 | + | 13.0586i | −0.267170 | + | 0.596042i | ||||
\(481\) | 12.4405 | − | 15.5999i | 0.567239 | − | 0.711295i | ||||
\(482\) | 24.6289 | + | 16.7917i | 1.12182 | + | 0.764841i | ||||
\(483\) | 41.8121 | − | 0.338022i | 1.90252 | − | 0.0153805i | ||||
\(484\) | 2.55133 | − | 1.73947i | 0.115970 | − | 0.0790667i | ||||
\(485\) | 2.21501 | − | 29.5572i | 0.100578 | − | 1.34212i | ||||
\(486\) | 17.6982 | + | 1.54997i | 0.802807 | + | 0.0703080i | ||||
\(487\) | 1.05122 | + | 0.716707i | 0.0476352 | + | 0.0324771i | 0.586904 | − | 0.809657i | \(-0.300347\pi\) |
−0.539268 | + | 0.842134i | \(0.681299\pi\) | |||||||
\(488\) | 8.44161 | − | 21.5089i | 0.382134 | − | 0.973661i | ||||
\(489\) | 0.888429 | + | 32.4057i | 0.0401761 | + | 1.46544i | ||||
\(490\) | −17.4391 | + | 1.94284i | −0.787816 | + | 0.0877687i | ||||
\(491\) | 11.5683 | + | 20.0368i | 0.522068 | + | 0.904248i | 0.999670 | + | 0.0256722i | \(0.00817260\pi\) |
−0.477602 | + | 0.878576i | \(0.658494\pi\) | |||||||
\(492\) | 6.56117 | + | 2.36969i | 0.295801 | + | 0.106834i | ||||
\(493\) | −8.52659 | + | 4.10619i | −0.384018 | + | 0.184933i | ||||
\(494\) | 9.82807 | − | 3.03156i | 0.442186 | − | 0.136396i | ||||
\(495\) | −0.338595 | + | 16.9428i | −0.0152187 | + | 0.761522i | ||||
\(496\) | −6.13220 | − | 2.95311i | −0.275344 | − | 0.132599i | ||||
\(497\) | 12.3454 | + | 18.8812i | 0.553766 | + | 0.846937i | ||||
\(498\) | −0.967615 | + | 1.50633i | −0.0433599 | + | 0.0675003i | ||||
\(499\) | −6.33248 | + | 7.94068i | −0.283481 | + | 0.355474i | −0.903101 | − | 0.429428i | \(-0.858715\pi\) |
0.619620 | + | 0.784902i | \(0.287287\pi\) | |||||||
\(500\) | 6.57747 | − | 4.48445i | 0.294154 | − | 0.200551i | ||||
\(501\) | −1.50002 | − | 8.38559i | −0.0670160 | − | 0.374641i | ||||
\(502\) | −18.2701 | + | 16.9522i | −0.815437 | + | 0.756615i | ||||
\(503\) | −14.8789 | − | 18.6575i | −0.663417 | − | 0.831899i | 0.330293 | − | 0.943878i | \(-0.392852\pi\) |
−0.993711 | + | 0.111979i | \(0.964281\pi\) | |||||||
\(504\) | −24.2858 | + | 2.68946i | −1.08177 | + | 0.119798i | ||||
\(505\) | −5.14834 | + | 6.45581i | −0.229098 | + | 0.287280i | ||||
\(506\) | −1.99581 | − | 26.6323i | −0.0887247 | − | 1.18395i | ||||
\(507\) | 2.07560 | − | 0.533988i | 0.0921807 | − | 0.0237153i | ||||
\(508\) | 1.95980 | − | 3.39448i | 0.0869521 | − | 0.150605i | ||||
\(509\) | 3.62417 | 0.160638 | 0.0803192 | − | 0.996769i | \(-0.474406\pi\) | ||||
0.0803192 | + | 0.996769i | \(0.474406\pi\) | |||||||
\(510\) | 8.60549 | − | 2.21393i | 0.381057 | − | 0.0980343i | ||||
\(511\) | −9.02288 | + | 6.91454i | −0.399149 | + | 0.305881i | ||||
\(512\) | −4.64611 | + | 20.3559i | −0.205331 | + | 0.899613i | ||||
\(513\) | 7.67608 | − | 9.77354i | 0.338907 | − | 0.431512i | ||||
\(514\) | 14.4207 | + | 2.17357i | 0.636071 | + | 0.0958723i | ||||
\(515\) | 23.5698 | − | 29.5556i | 1.03861 | − | 1.30238i | ||||
\(516\) | 0.434104 | − | 0.494362i | 0.0191104 | − | 0.0217631i | ||||
\(517\) | 13.9032 | − | 4.28857i | 0.611462 | − | 0.188611i | ||||
\(518\) | −2.07138 | − | 15.8100i | −0.0910112 | − | 0.694652i | ||||
\(519\) | 1.77957 | − | 6.38556i | 0.0781145 | − | 0.280295i | ||||
\(520\) | −12.7741 | − | 22.1255i | −0.560183 | − | 0.970265i | ||||
\(521\) | 1.22160 | + | 2.11588i | 0.0535195 | + | 0.0926984i | 0.891544 | − | 0.452934i | \(-0.149623\pi\) |
−0.838024 | + | 0.545633i | \(0.816289\pi\) | |||||||
\(522\) | −15.3407 | − | 3.82543i | −0.671442 | − | 0.167435i | ||||
\(523\) | −28.9548 | + | 19.7411i | −1.26611 | + | 0.863217i | −0.995053 | − | 0.0993478i | \(-0.968324\pi\) |
−0.271053 | + | 0.962564i | \(0.587372\pi\) | |||||||
\(524\) | 4.14821 | + | 10.5695i | 0.181215 | + | 0.461730i | ||||
\(525\) | 0.672806 | + | 0.317332i | 0.0293636 | + | 0.0138495i | ||||
\(526\) | 5.26273 | − | 13.4092i | 0.229466 | − | 0.584670i | ||||
\(527\) | −1.47165 | − | 6.44773i | −0.0641061 | − | 0.280867i | ||||
\(528\) | 1.64975 | + | 9.22261i | 0.0717961 | + | 0.401363i | ||||
\(529\) | −54.2884 | − | 26.1439i | −2.36036 | − | 1.13669i | ||||
\(530\) | 7.18915 | + | 18.3177i | 0.312277 | + | 0.795668i | ||||
\(531\) | 26.6862 | + | 16.1267i | 1.15808 | + | 0.699838i | ||||
\(532\) | −2.00182 | + | 3.95923i | −0.0867897 | + | 0.171654i | ||||
\(533\) | −17.9092 | + | 12.2103i | −0.775733 | + | 0.528886i | ||||
\(534\) | 10.5873 | − | 16.4818i | 0.458159 | − | 0.713237i | ||||
\(535\) | −18.4059 | − | 17.0782i | −0.795757 | − | 0.738354i | ||||
\(536\) | 3.38350 | − | 45.1496i | 0.146145 | − | 1.95017i | ||||
\(537\) | 1.64208 | + | 9.17974i | 0.0708609 | + | 0.396135i | ||||
\(538\) | 0.979040 | − | 1.69575i | 0.0422094 | − | 0.0731088i | ||||
\(539\) | 13.6411 | − | 11.7095i | 0.587564 | − | 0.504363i | ||||
\(540\) | −7.24500 | − | 3.42295i | −0.311775 | − | 0.147300i | ||||
\(541\) | −1.49234 | + | 0.224934i | −0.0641608 | + | 0.00967068i | −0.181044 | − | 0.983475i | \(-0.557948\pi\) |
0.116883 | + | 0.993146i | \(0.462710\pi\) | |||||||
\(542\) | 4.41495 | − | 2.12613i | 0.189638 | − | 0.0913250i | ||||
\(543\) | −10.1324 | − | 29.9120i | −0.434822 | − | 1.28365i | ||||
\(544\) | −6.92650 | + | 3.33563i | −0.296971 | + | 0.143014i | ||||
\(545\) | 0.143272 | + | 1.91184i | 0.00613712 | + | 0.0818941i | ||||
\(546\) | 9.71497 | − | 17.1454i | 0.415762 | − | 0.733757i | ||||
\(547\) | 0.248375 | − | 3.31434i | 0.0106198 | − | 0.141711i | −0.989373 | − | 0.145397i | \(-0.953554\pi\) |
0.999993 | + | 0.00368573i | \(0.00117321\pi\) | |||||||
\(548\) | 3.94765 | + | 10.0584i | 0.168635 | + | 0.429675i | ||||
\(549\) | 20.7924 | + | 8.64373i | 0.887396 | + | 0.368905i | ||||
\(550\) | 0.173585 | − | 0.442288i | 0.00740170 | − | 0.0188592i | ||||
\(551\) | −8.10730 | + | 7.52247i | −0.345382 | + | 0.320468i | ||||
\(552\) | 45.7585 | + | 16.5265i | 1.94761 | + | 0.703416i | ||||
\(553\) | −8.13922 | − | 2.02396i | −0.346115 | − | 0.0860676i | ||||
\(554\) | −31.6612 | − | 4.77216i | −1.34516 | − | 0.202750i | ||||
\(555\) | 8.24000 | − | 18.3830i | 0.349768 | − | 0.780314i | ||||
\(556\) | −1.34392 | − | 5.88809i | −0.0569948 | − | 0.249710i | ||||
\(557\) | 22.1323 | + | 38.3342i | 0.937775 | + | 1.62427i | 0.769609 | + | 0.638515i | \(0.220451\pi\) |
0.168165 | + | 0.985759i | \(0.446216\pi\) | |||||||
\(558\) | 4.99181 | − | 9.85679i | 0.211320 | − | 0.417271i | ||||
\(559\) | 0.454882 | + | 1.99297i | 0.0192395 | + | 0.0842936i | ||||
\(560\) | −11.8943 | − | 2.95773i | −0.502626 | − | 0.124987i | ||||
\(561\) | −6.00692 | + | 6.84072i | −0.253612 | + | 0.288816i | ||||
\(562\) | 3.87321 | − | 16.9696i | 0.163381 | − | 0.715820i | ||||
\(563\) | −11.6083 | − | 29.5774i | −0.489231 | − | 1.24654i | −0.936035 | − | 0.351908i | \(-0.885533\pi\) |
0.446804 | − | 0.894632i | \(-0.352562\pi\) | |||||||
\(564\) | −0.838545 | + | 6.82840i | −0.0353091 | + | 0.287528i | ||||
\(565\) | −4.23460 | + | 1.30620i | −0.178151 | + | 0.0549522i | ||||
\(566\) | 1.98305 | − | 8.68832i | 0.0833539 | − | 0.365197i | ||||
\(567\) | −2.14754 | − | 23.7147i | −0.0901882 | − | 0.995925i | ||||
\(568\) | 5.84077 | + | 25.5901i | 0.245073 | + | 1.07374i | ||||
\(569\) | −13.7700 | − | 23.8504i | −0.577270 | − | 0.999861i | −0.995791 | − | 0.0916541i | \(-0.970785\pi\) |
0.418521 | − | 0.908207i | \(-0.362549\pi\) | |||||||
\(570\) | 8.84721 | − | 5.43655i | 0.370569 | − | 0.227712i | ||||
\(571\) | 31.7345 | + | 9.78879i | 1.32805 | + | 0.409648i | 0.875985 | − | 0.482339i | \(-0.160213\pi\) |
0.452061 | + | 0.891987i | \(0.350689\pi\) | |||||||
\(572\) | 6.12134 | + | 2.94788i | 0.255946 | + | 0.123257i | ||||
\(573\) | −20.4435 | + | 8.67732i | −0.854039 | + | 0.362500i | ||||
\(574\) | −2.91216 | + | 17.0751i | −0.121551 | + | 0.712702i | ||||
\(575\) | −0.923491 | − | 1.15802i | −0.0385123 | − | 0.0482928i | ||||
\(576\) | −24.7236 | − | 6.16521i | −1.03015 | − | 0.256884i | ||||
\(577\) | 11.8149 | − | 30.1039i | 0.491860 | − | 1.25324i | −0.442455 | − | 0.896791i | \(-0.645892\pi\) |
0.934315 | − | 0.356449i | \(-0.116013\pi\) | |||||||
\(578\) | −13.1551 | − | 6.33518i | −0.547182 | − | 0.263509i | ||||
\(579\) | −18.6519 | − | 14.0558i | −0.775148 | − | 0.584137i | ||||
\(580\) | 5.89184 | + | 4.01699i | 0.244645 | + | 0.166796i | ||||
\(581\) | 2.21636 | + | 0.919671i | 0.0919502 | + | 0.0381544i | ||||
\(582\) | 26.4627 | − | 2.71418i | 1.09692 | − | 0.112506i | ||||
\(583\) | −16.6576 | − | 11.3570i | −0.689889 | − | 0.470358i | ||||
\(584\) | −12.6390 | + | 3.89862i | −0.523006 | + | 0.161326i | ||||
\(585\) | 21.8062 | − | 12.0154i | 0.901576 | − | 0.496776i | ||||
\(586\) | 9.74969 | − | 1.46953i | 0.402756 | − | 0.0607057i | ||||
\(587\) | 17.8716 | − | 30.9544i | 0.737638 | − | 1.27763i | −0.215918 | − | 0.976411i | \(-0.569274\pi\) |
0.953556 | − | 0.301215i | \(-0.0973922\pi\) | |||||||
\(588\) | 2.41413 | + | 8.15057i | 0.0995569 | + | 0.336124i | ||||
\(589\) | −3.86438 | − | 6.69331i | −0.159229 | − | 0.275793i | ||||
\(590\) | 16.2441 | + | 20.3694i | 0.668757 | + | 0.838595i | ||||
\(591\) | −3.88440 | + | 6.04702i | −0.159783 | + | 0.248741i | ||||
\(592\) | 2.47837 | − | 10.8584i | 0.101860 | − | 0.446279i | ||||
\(593\) | −0.306850 | + | 4.09462i | −0.0126008 | + | 0.168146i | 0.987353 | + | 0.158537i | \(0.0506777\pi\) |
−0.999954 | + | 0.00960899i | \(0.996941\pi\) | |||||||
\(594\) | −15.0218 | + | 2.37841i | −0.616353 | + | 0.0975873i | ||||
\(595\) | −4.95905 | − | 10.8280i | −0.203301 | − | 0.443904i | ||||
\(596\) | 0.524434 | − | 6.99809i | 0.0214817 | − | 0.286653i | ||||
\(597\) | 24.3003 | − | 10.3143i | 0.994544 | − | 0.422138i | ||||
\(598\) | −32.4199 | + | 22.1035i | −1.32575 | + | 0.903881i | ||||
\(599\) | −20.1916 | + | 3.04339i | −0.825007 | + | 0.124350i | −0.547958 | − | 0.836506i | \(-0.684595\pi\) |
−0.277049 | + | 0.960856i | \(0.589356\pi\) | |||||||
\(600\) | 0.605882 | + | 0.618112i | 0.0247350 | + | 0.0252343i | ||||
\(601\) | 23.5521 | − | 3.54991i | 0.960712 | − | 0.144804i | 0.350081 | − | 0.936719i | \(-0.386154\pi\) |
0.610631 | + | 0.791915i | \(0.290916\pi\) | |||||||
\(602\) | 1.39870 | + | 0.843989i | 0.0570066 | + | 0.0343984i | ||||
\(603\) | 43.9248 | + | 4.17578i | 1.78875 | + | 0.170051i | ||||
\(604\) | −3.89529 | + | 2.65576i | −0.158497 | + | 0.108061i | ||||
\(605\) | 2.15556 | + | 9.44414i | 0.0876361 | + | 0.383959i | ||||
\(606\) | −6.51708 | − | 3.52812i | −0.264738 | − | 0.143320i | ||||
\(607\) | −36.1946 | −1.46909 | −0.734547 | − | 0.678558i | \(-0.762605\pi\) | ||||
−0.734547 | + | 0.678558i | \(0.762605\pi\) | |||||||
\(608\) | −6.58589 | + | 6.11082i | −0.267093 | + | 0.247826i | ||||
\(609\) | −1.41271 | + | 21.1436i | −0.0572459 | + | 0.856783i | ||||
\(610\) | 13.7923 | + | 12.7974i | 0.558433 | + | 0.518151i | ||||
\(611\) | −15.6700 | − | 14.5396i | −0.633940 | − | 0.588210i | ||||
\(612\) | −1.78986 | − | 3.91491i | −0.0723507 | − | 0.158251i | ||||
\(613\) | −29.0192 | − | 4.37395i | −1.17208 | − | 0.176662i | −0.465991 | − | 0.884789i | \(-0.654302\pi\) |
−0.706085 | + | 0.708127i | \(0.749540\pi\) | |||||||
\(614\) | −30.2606 | + | 9.33416i | −1.22122 | + | 0.376696i | ||||
\(615\) | −14.4399 | + | 16.4443i | −0.582274 | + | 0.663098i | ||||
\(616\) | 19.6156 | − | 7.26433i | 0.790334 | − | 0.292688i | ||||
\(617\) | 34.3322 | − | 31.8556i | 1.38216 | − | 1.28246i | 0.464232 | − | 0.885714i | \(-0.346330\pi\) |
0.917929 | − | 0.396745i | \(-0.129860\pi\) | |||||||
\(618\) | 29.8361 | + | 16.1523i | 1.20019 | + | 0.649739i | ||||
\(619\) | −1.02212 | −0.0410825 | −0.0205412 | − | 0.999789i | \(-0.506539\pi\) | ||||
−0.0205412 | + | 0.999789i | \(0.506539\pi\) | |||||||
\(620\) | −3.65299 | + | 3.38948i | −0.146708 | + | 0.136125i | ||||
\(621\) | −16.9933 | + | 44.2620i | −0.681918 | + | 1.77617i | ||||
\(622\) | 3.31214 | − | 4.15329i | 0.132805 | − | 0.166532i | ||||
\(623\) | −24.2508 | − | 10.0628i | −0.971586 | − | 0.403156i | ||||
\(624\) | 10.5227 | − | 8.87405i | 0.421244 | − | 0.355246i | ||||
\(625\) | 5.37655 | + | 23.5562i | 0.215062 | + | 0.942248i | ||||
\(626\) | 19.7808 | − | 2.98147i | 0.790599 | − | 0.119164i | ||||
\(627\) | −4.35162 | + | 9.70823i | −0.173787 | + | 0.387709i | ||||
\(628\) | −13.7306 | − | 2.06955i | −0.547909 | − | 0.0825841i | ||||
\(629\) | 9.75061 | − | 4.69565i | 0.388782 | − | 0.187228i | ||||
\(630\) | 5.18619 | − | 19.2086i | 0.206623 | − | 0.765287i | ||||
\(631\) | −36.3801 | − | 17.5197i | −1.44827 | − | 0.697450i | −0.465976 | − | 0.884797i | \(-0.654297\pi\) |
−0.982294 | + | 0.187347i | \(0.940011\pi\) | |||||||
\(632\) | −8.06300 | − | 5.49726i | −0.320729 | − | 0.218669i | ||||
\(633\) | −30.5954 | + | 34.8423i | −1.21606 | + | 1.38486i | ||||
\(634\) | −0.319355 | + | 4.26150i | −0.0126832 | + | 0.169246i | ||||
\(635\) | 7.66655 | + | 9.61355i | 0.304238 | + | 0.381502i | ||||
\(636\) | 8.12203 | − | 4.99092i | 0.322059 | − | 0.197903i | ||||
\(637\) | −24.9196 | − | 8.75471i | −0.987350 | − | 0.346874i | ||||
\(638\) | 13.5349 | 0.535851 | ||||||||
\(639\) | −25.0469 | + | 5.19256i | −0.990840 | + | 0.205414i | ||||
\(640\) | −3.93830 | − | 2.68509i | −0.155675 | − | 0.106137i | ||||
\(641\) | −0.0173105 | + | 0.0758422i | −0.000683723 | + | 0.00299559i | −0.975269 | − | 0.221023i | \(-0.929060\pi\) |
0.974585 | + | 0.224018i | \(0.0719176\pi\) | |||||||
\(642\) | 12.1792 | − | 18.9599i | 0.480673 | − | 0.748286i | ||||
\(643\) | −0.241043 | − | 3.21650i | −0.00950582 | − | 0.126846i | 0.990432 | − | 0.138002i | \(-0.0440680\pi\) |
−0.999938 | + | 0.0111556i | \(0.996449\pi\) | |||||||
\(644\) | 2.84558 | − | 16.6847i | 0.112131 | − | 0.657471i | ||||
\(645\) | 0.946124 | + | 1.83428i | 0.0372536 | + | 0.0722249i | ||||
\(646\) | 5.51619 | + | 0.831432i | 0.217032 | + | 0.0327123i | ||||
\(647\) | 1.60958 | + | 21.4783i | 0.0632789 | + | 0.844399i | 0.935057 | + | 0.354498i | \(0.115348\pi\) |
−0.871778 | + | 0.489901i | \(0.837033\pi\) | |||||||
\(648\) | 7.23939 | − | 26.7433i | 0.284390 | − | 1.05058i | ||||
\(649\) | −25.5069 | − | 7.86784i | −1.00123 | − | 0.308840i | ||||
\(650\) | −0.690270 | + | 0.104041i | −0.0270746 | + | 0.00408084i | ||||
\(651\) | −14.1856 | − | 4.25039i | −0.555976 | − | 0.166586i | ||||
\(652\) | 12.9759 | + | 1.95580i | 0.508174 | + | 0.0765949i | ||||
\(653\) | 27.4646 | + | 13.2262i | 1.07477 | + | 0.517582i | 0.885641 | − | 0.464370i | \(-0.153719\pi\) |
0.189130 | + | 0.981952i | \(0.439433\pi\) | |||||||
\(654\) | −1.66640 | + | 0.428712i | −0.0651612 | + | 0.0167640i | ||||
\(655\) | −35.6198 | −1.39178 | ||||||||
\(656\) | −6.04959 | + | 10.4782i | −0.236197 | + | 0.409105i | ||||
\(657\) | −3.55244 | − | 12.3905i | −0.138594 | − | 0.483399i | ||||
\(658\) | −17.0563 | + | 0.947170i | −0.664923 | + | 0.0369245i | ||||
\(659\) | −26.5500 | − | 24.6348i | −1.03424 | − | 0.959634i | −0.0350301 | − | 0.999386i | \(-0.511153\pi\) |
−0.999210 | + | 0.0397521i | \(0.987343\pi\) | |||||||
\(660\) | 6.72697 | + | 1.34256i | 0.261847 | + | 0.0522591i | ||||
\(661\) | 13.1863 | + | 33.5981i | 0.512886 | + | 1.30681i | 0.919456 | + | 0.393193i | \(0.128630\pi\) |
−0.406570 | + | 0.913620i | \(0.633275\pi\) | |||||||
\(662\) | −7.06281 | − | 17.9957i | −0.274504 | − | 0.699424i | ||||
\(663\) | 13.1166 | + | 2.61780i | 0.509408 | + | 0.101667i | ||||
\(664\) | 2.04669 | + | 1.89905i | 0.0794270 | + | 0.0736975i | ||||
\(665\) | −9.26761 | − | 10.3835i | −0.359382 | − | 0.402655i | ||||
\(666\) | 17.5429 | + | 4.37459i | 0.679773 | + | 0.169512i | ||||
\(667\) | 21.0967 | − | 36.5405i | 0.816866 | − | 1.41485i | ||||
\(668\) | −3.44828 | −0.133418 | ||||||||
\(669\) | 10.9356 | − | 2.81340i | 0.422796 | − | 0.108772i | ||||
\(670\) | 33.2166 | + | 15.9963i | 1.28327 | + | 0.617990i | ||||
\(671\) | −19.0613 | − | 2.87303i | −0.735853 | − | 0.110912i | ||||
\(672\) | −1.14760 | + | 17.1759i | −0.0442697 | + | 0.662573i | ||||
\(673\) | 11.4707 | − | 1.72893i | 0.442162 | − | 0.0666452i | 0.0758116 | − | 0.997122i | \(-0.475845\pi\) |
0.366350 | + | 0.930477i | \(0.380607\pi\) | |||||||
\(674\) | 4.43520 | + | 1.36808i | 0.170838 | + | 0.0526964i | ||||
\(675\) | −0.614042 | + | 0.578294i | −0.0236345 | + | 0.0222585i | ||||
\(676\) | −0.0648314 | − | 0.865115i | −0.00249352 | − | 0.0332737i | ||||
\(677\) | −8.56775 | − | 1.29138i | −0.329285 | − | 0.0496318i | −0.0176809 | − | 0.999844i | \(-0.505628\pi\) |
−0.311605 | + | 0.950212i | \(0.600866\pi\) | |||||||
\(678\) | −1.82319 | − | 3.53468i | −0.0700192 | − | 0.135749i | ||||
\(679\) | −9.84893 | − | 34.2669i | −0.377967 | − | 1.31504i | ||||
\(680\) | −1.03555 | − | 13.8184i | −0.0397115 | − | 0.529913i | ||||
\(681\) | −25.9903 | + | 40.4602i | −0.995949 | + | 1.55044i | ||||
\(682\) | −2.10472 | + | 9.22138i | −0.0805939 | + | 0.353105i | ||||
\(683\) | 13.8713 | + | 9.45726i | 0.530769 | + | 0.361872i | 0.798856 | − | 0.601523i | \(-0.205439\pi\) |
−0.268087 | + | 0.963395i | \(0.586391\pi\) | |||||||
\(684\) | −3.34728 | − | 3.75528i | −0.127986 | − | 0.143587i | ||||
\(685\) | −33.8975 | −1.29516 | ||||||||
\(686\) | −18.8602 | + | 9.47676i | −0.720087 | + | 0.361825i | ||||
\(687\) | −38.0463 | + | 23.3792i | −1.45156 | + | 0.891971i | ||||
\(688\) | 0.711448 | + | 0.892128i | 0.0271237 | + | 0.0340121i | ||||
\(689\) | −2.21353 | + | 29.5376i | −0.0843289 | + | 1.12529i | ||||
\(690\) | −26.1397 | + | 29.7681i | −0.995123 | + | 1.13325i | ||||
\(691\) | −24.7452 | − | 16.8710i | −0.941352 | − | 0.641803i | −0.00769454 | − | 0.999970i | \(-0.502449\pi\) |
−0.933657 | + | 0.358168i | \(0.883402\pi\) | |||||||
\(692\) | −2.41758 | − | 1.16424i | −0.0919024 | − | 0.0442579i | ||||
\(693\) | 6.69591 | + | 19.2535i | 0.254357 | + | 0.731380i | ||||
\(694\) | 5.81761 | − | 2.80161i | 0.220834 | − | 0.106348i | ||||
\(695\) | 18.7349 | + | 2.82384i | 0.710656 | + | 0.107114i | ||||
\(696\) | −10.0851 | + | 22.4993i | −0.382275 | + | 0.852834i | ||||
\(697\) | −11.6253 | + | 1.75224i | −0.440341 | + | 0.0663708i | ||||
\(698\) | 0.937900 | + | 4.10921i | 0.0355000 | + | 0.155536i | ||||
\(699\) | 27.4057 | − | 23.1120i | 1.03658 | − | 0.874175i | ||||
\(700\) | 0.174401 | − | 0.245471i | 0.00659175 | − | 0.00927791i | ||||
\(701\) | −5.09046 | + | 6.38323i | −0.192264 | + | 0.241091i | −0.868614 | − | 0.495489i | \(-0.834989\pi\) |
0.676351 | + | 0.736580i | \(0.263560\pi\) | |||||||
\(702\) | 14.0613 | + | 17.3661i | 0.530709 | + | 0.655443i | ||||
\(703\) | 9.27113 | − | 8.60236i | 0.349667 | − | 0.324444i | ||||
\(704\) | 21.8133 | 0.822122 | ||||||||
\(705\) | −18.9795 | − | 10.2749i | −0.714811 | − | 0.386974i | ||||
\(706\) | 4.50771 | − | 4.18254i | 0.169650 | − | 0.157412i | ||||
\(707\) | −3.11059 | + | 9.43310i | −0.116986 | + | 0.354768i | ||||
\(708\) | 8.32804 | − | 9.48403i | 0.312987 | − | 0.356432i | ||||
\(709\) | 34.7124 | − | 10.7074i | 1.30365 | − | 0.402124i | 0.436293 | − | 0.899805i | \(-0.356291\pi\) |
0.867360 | + | 0.497681i | \(0.165815\pi\) | |||||||
\(710\) | −21.1347 | − | 3.18554i | −0.793171 | − | 0.119551i | ||||
\(711\) | 5.51315 | − | 7.74898i | 0.206759 | − | 0.290610i | ||||
\(712\) | −22.3943 | − | 20.7788i | −0.839260 | − | 0.778720i | ||||
\(713\) | 21.6146 | + | 20.0554i | 0.809473 | + | 0.751081i | ||||
\(714\) | 8.78242 | − | 6.09233i | 0.328674 | − | 0.228000i | ||||
\(715\) | −15.6243 | + | 14.4972i | −0.584315 | + | 0.542165i | ||||
\(716\) | 3.77484 | 0.141072 | ||||||||
\(717\) | 39.0371 | + | 21.1333i | 1.45787 | + | 0.789239i | ||||
\(718\) | −2.70642 | − | 11.8576i | −0.101003 | − | 0.442521i | ||||
\(719\) | −13.9134 | + | 9.48597i | −0.518881 | + | 0.353767i | −0.794269 | − | 0.607566i | \(-0.792146\pi\) |
0.275388 | + | 0.961333i | \(0.411194\pi\) | |||||||
\(720\) | 8.05667 | − | 11.3240i | 0.300254 | − | 0.422022i | ||||
\(721\) | 14.2407 | − | 43.1861i | 0.530352 | − | 1.60833i | ||||
\(722\) | −14.9658 | + | 2.25573i | −0.556969 | + | 0.0839496i | ||||
\(723\) | 31.7115 | + | 32.3516i | 1.17936 | + | 1.20317i | ||||
\(724\) | −12.6411 | + | 1.90534i | −0.469802 | + | 0.0708113i | ||||
\(725\) | 0.620211 | − | 0.422853i | 0.0230341 | − | 0.0157044i | ||||
\(726\) | −8.00289 | + | 3.39686i | −0.297015 | + | 0.126069i | ||||
\(727\) | 0.303669 | − | 4.05219i | 0.0112625 | − | 0.150287i | −0.988737 | − | 0.149661i | \(-0.952182\pi\) |
1.00000 | 0.000626012i | \(-0.000199266\pi\) | ||||||||
\(728\) | −23.6526 | − | 19.6219i | −0.876623 | − | 0.727235i | ||||
\(729\) | 25.9158 | + | 7.57429i | 0.959845 | + | 0.280529i | ||||
\(730\) | 0.804860 | − | 10.7401i | 0.0297892 | − | 0.397509i | ||||
\(731\) | −0.246725 | + | 1.08097i | −0.00912544 | + | 0.0399811i | ||||
\(732\) | 4.92625 | − | 7.66891i | 0.182079 | − | 0.283451i | ||||
\(733\) | −23.1307 | − | 29.0050i | −0.854353 | − | 1.07133i | −0.996673 | − | 0.0815044i | \(-0.974028\pi\) |
0.142320 | − | 0.989821i | \(-0.454544\pi\) | |||||||
\(734\) | 10.6234 | + | 18.4002i | 0.392116 | + | 0.679164i | ||||
\(735\) | −26.5685 | − | 2.29163i | −0.979994 | − | 0.0845279i | ||||
\(736\) | 17.1377 | − | 29.6834i | 0.631704 | − | 1.09414i | ||||
\(737\) | −37.3505 | + | 5.62968i | −1.37582 | + | 0.207372i | ||||
\(738\) | −16.8099 | − | 10.1584i | −0.618782 | − | 0.373935i | ||||
\(739\) | 16.2666 | − | 5.01758i | 0.598376 | − | 0.184575i | 0.0192528 | − | 0.999815i | \(-0.493871\pi\) |
0.579123 | + | 0.815240i | \(0.303395\pi\) | |||||||
\(740\) | −6.73763 | − | 4.59364i | −0.247680 | − | 0.168866i | ||||
\(741\) | 15.5492 | − | 1.59482i | 0.571213 | − | 0.0585871i | ||||
\(742\) | 15.7618 | + | 17.6597i | 0.578635 | + | 0.648307i | ||||
\(743\) | 26.6118 | + | 18.1436i | 0.976293 | + | 0.665625i | 0.942641 | − | 0.333809i | \(-0.108334\pi\) |
0.0336517 | + | 0.999434i | \(0.489286\pi\) | |||||||
\(744\) | −13.7606 | − | 10.3697i | −0.504489 | − | 0.380173i | ||||
\(745\) | 19.8351 | + | 9.55207i | 0.726701 | + | 0.349961i | ||||
\(746\) | 3.57562 | − | 9.11054i | 0.130913 | − | 0.333560i | ||||
\(747\) | −1.89016 | + | 1.95717i | −0.0691572 | + | 0.0716093i | ||||
\(748\) | 2.29763 | + | 2.88113i | 0.0840096 | + | 0.105345i | ||||
\(749\) | −27.8969 | − | 11.5757i | −1.01933 | − | 0.422967i | ||||
\(750\) | −20.6319 | + | 8.75729i | −0.753370 | + | 0.319771i | ||||
\(751\) | 12.2247 | + | 5.88709i | 0.446084 | + | 0.214823i | 0.643420 | − | 0.765513i | \(-0.277515\pi\) |
−0.197336 | + | 0.980336i | \(0.563229\pi\) | |||||||
\(752\) | −11.4021 | − | 3.51707i | −0.415790 | − | 0.128254i | ||||
\(753\) | −32.2716 | + | 19.8307i | −1.17604 | + | 0.722670i | ||||
\(754\) | −9.94277 | − | 17.2214i | −0.362094 | − | 0.627166i | ||||
\(755\) | −3.29104 | − | 14.4190i | −0.119773 | − | 0.524761i | ||||
\(756\) | −9.60255 | − | 0.834611i | −0.349241 | − | 0.0303545i | ||||
\(757\) | 2.63602 | − | 11.5491i | 0.0958077 | − | 0.419761i | −0.904165 | − | 0.427184i | \(-0.859506\pi\) |
0.999972 | + | 0.00742296i | \(0.00236282\pi\) | |||||||
\(758\) | −27.3709 | + | 8.44282i | −0.994157 | + | 0.306657i | ||||
\(759\) | 4.94717 | − | 40.2855i | 0.179571 | − | 1.46227i | ||||
\(760\) | −5.91629 | − | 15.0745i | −0.214606 | − | 0.546808i | ||||
\(761\) | −1.65809 | + | 7.26458i | −0.0601058 | + | 0.263341i | −0.996048 | − | 0.0888118i | \(-0.971693\pi\) |
0.935943 | + | 0.352153i | \(0.114550\pi\) | |||||||
\(762\) | −7.28163 | + | 8.29238i | −0.263786 | + | 0.300401i | ||||
\(763\) | 0.960287 | + | 2.09677i | 0.0347647 | + | 0.0759081i | ||||
\(764\) | 2.00044 | + | 8.76451i | 0.0723734 | + | 0.317089i | ||||
\(765\) | 13.4839 | − | 0.739898i | 0.487511 | − | 0.0267511i | ||||
\(766\) | −3.05729 | − | 5.29539i | −0.110465 | − | 0.191330i | ||||
\(767\) | 8.72665 | + | 38.2339i | 0.315101 | + | 1.38055i | ||||
\(768\) | −10.2849 | + | 22.9451i | −0.371125 | + | 0.827958i | ||||
\(769\) | 48.0483 | + | 7.24211i | 1.73267 | + | 0.261157i | 0.938185 | − | 0.346133i | \(-0.112505\pi\) |
0.794480 | + | 0.607290i | \(0.207744\pi\) | |||||||
\(770\) | −0.329134 | + | 17.0296i | −0.0118612 | + | 0.613703i | ||||
\(771\) | 20.8457 | + | 7.52882i | 0.750739 | + | 0.271144i | ||||
\(772\) | −6.93018 | + | 6.43027i | −0.249423 | + | 0.231430i | ||||
\(773\) | −2.31385 | + | 5.89558i | −0.0832232 | + | 0.212049i | −0.966428 | − | 0.256939i | \(-0.917286\pi\) |
0.883204 | + | 0.468988i | \(0.155381\pi\) | |||||||
\(774\) | −1.47100 | + | 1.12575i | −0.0528741 | + | 0.0404641i | ||||
\(775\) | 0.191647 | + | 0.488308i | 0.00688415 | + | 0.0175405i | ||||
\(776\) | 3.10017 | − | 41.3689i | 0.111290 | − | 1.48506i | ||||
\(777\) | 1.61551 | − | 24.1789i | 0.0579561 | − | 0.867413i | ||||
\(778\) | −2.24585 | − | 29.9688i | −0.0805177 | − | 1.07443i | ||||
\(779\) | −12.3785 | + | 5.96119i | −0.443507 | + | 0.213582i | ||||
\(780\) | −3.23342 | − | 9.54544i | −0.115775 | − | 0.341781i | ||||
\(781\) | 19.7293 | − | 9.50115i | 0.705971 | − | 0.339978i | ||||
\(782\) | −21.0447 | + | 3.17197i | −0.752556 | + | 0.113430i | ||||
\(783\) | −21.7254 | − | 10.2643i | −0.776402 | − | 0.366817i | ||||
\(784\) | −14.6528 | + | 1.63243i | −0.523314 | + | 0.0583011i | ||||
\(785\) | 21.7804 | − | 37.7247i | 0.777374 | − | 1.34645i | ||||
\(786\) | −5.62915 | − | 31.4687i | −0.200785 | − | 1.12245i | ||||
\(787\) | −2.10261 | + | 28.0574i | −0.0749501 | + | 1.00014i | 0.825280 | + | 0.564724i | \(0.191017\pi\) |
−0.900230 | + | 0.435415i | \(0.856602\pi\) | |||||||
\(788\) | 2.13265 | + | 1.97881i | 0.0759725 | + | 0.0704922i | ||||
\(789\) | 11.8319 | − | 18.4193i | 0.421228 | − | 0.655745i | ||||
\(790\) | 6.56556 | − | 4.47632i | 0.233592 | − | 0.159260i | ||||
\(791\) | −4.23110 | + | 3.24244i | −0.150441 | + | 0.115288i | ||||
\(792\) | −0.473905 | + | 23.7135i | −0.0168395 | + | 0.842622i | ||||
\(793\) | 10.3469 | + | 26.3636i | 0.367430 | + | 0.936197i | ||||
\(794\) | −9.98383 | − | 4.80796i | −0.354313 | − | 0.170628i | ||||
\(795\) | 5.26597 | + | 29.4385i | 0.186765 | + | 1.04407i | ||||
\(796\) | −2.37783 | − | 10.4180i | −0.0842801 | − | 0.369255i | ||||
\(797\) | −7.44067 | + | 18.9585i | −0.263562 | + | 0.671545i | −0.999988 | − | 0.00497343i | \(-0.998417\pi\) |
0.736426 | + | 0.676519i | \(0.236512\pi\) | |||||||
\(798\) | 7.70884 | − | 9.82854i | 0.272890 | − | 0.347926i | ||||
\(799\) | −4.23590 | − | 10.7929i | −0.149855 | − | 0.381825i | ||||
\(800\) | 0.503823 | − | 0.343501i | 0.0178128 | − | 0.0121446i | ||||
\(801\) | 20.6815 | − | 21.4148i | 0.730745 | − | 0.756655i | ||||
\(802\) | 8.23789 | + | 14.2684i | 0.290890 | + | 0.503836i | ||||
\(803\) | 5.51726 | + | 9.55618i | 0.194700 | + | 0.337230i | ||||
\(804\) | 4.79475 | − | 17.2048i | 0.169098 | − | 0.606767i | ||||
\(805\) | 45.4622 | + | 27.4323i | 1.60233 | + | 0.966863i | ||||
\(806\) | 13.2791 | − | 4.09607i | 0.467738 | − | 0.144278i | ||||
\(807\) | 1.96352 | − | 2.23608i | 0.0691193 | − | 0.0787136i | ||||
\(808\) | −7.20572 | + | 9.03569i | −0.253496 | + | 0.317874i | ||||
\(809\) | 36.6328 | + | 5.52151i | 1.28794 | + | 0.194126i | 0.757074 | − | 0.653329i | \(-0.226628\pi\) |
0.530868 | + | 0.847455i | \(0.321866\pi\) | |||||||
\(810\) | 18.1176 | + | 13.4433i | 0.636588 | + | 0.472349i | ||||
\(811\) | 2.10023 | − | 9.20169i | 0.0737489 | − | 0.323115i | −0.924574 | − | 0.381002i | \(-0.875579\pi\) |
0.998323 | + | 0.0578869i | \(0.0184363\pi\) | |||||||
\(812\) | 8.32429 | + | 2.06998i | 0.292125 | + | 0.0726421i | ||||
\(813\) | 7.21231 | − | 1.85551i | 0.252947 | − | 0.0650754i | ||||
\(814\) | −15.4779 | −0.542499 | ||||||||
\(815\) | −20.5832 | + | 35.6511i | −0.720997 | + | 1.24880i | ||||
\(816\) | 7.23057 | − | 1.86020i | 0.253121 | − | 0.0651201i | ||||
\(817\) | 0.0968307 | + | 1.29212i | 0.00338768 | + | 0.0452054i | ||||
\(818\) | −7.41603 | + | 9.29940i | −0.259295 | + | 0.325146i | ||||
\(819\) | 19.5787 | − | 22.6634i | 0.684136 | − | 0.791922i | ||||
\(820\) | 5.52323 | + | 6.92591i | 0.192879 | + | 0.241863i | ||||
\(821\) | −12.3420 | + | 11.4517i | −0.430740 | + | 0.399668i | −0.865525 | − | 0.500866i | \(-0.833015\pi\) |
0.434785 | + | 0.900534i | \(0.356824\pi\) | |||||||
\(822\) | −5.35698 | − | 29.9472i | −0.186846 | − | 1.04453i | ||||
\(823\) | 31.7894 | − | 21.6736i | 1.10811 | − | 0.755495i | 0.136159 | − | 0.990687i | \(-0.456524\pi\) |
0.971949 | + | 0.235192i | \(0.0755718\pi\) | |||||||
\(824\) | 32.9888 | − | 41.3667i | 1.14922 | − | 1.44108i | ||||
\(825\) | 0.390263 | − | 0.607540i | 0.0135872 | − | 0.0211518i | ||||
\(826\) | 26.8332 | + | 16.1914i | 0.933646 | + | 0.563372i | ||||
\(827\) | 42.3344 | + | 20.3872i | 1.47211 | + | 0.708932i | 0.986274 | − | 0.165118i | \(-0.0528004\pi\) |
0.485838 | + | 0.874049i | \(0.338515\pi\) | |||||||
\(828\) | 16.4256 | + | 9.92612i | 0.570829 | + | 0.344956i | ||||
\(829\) | 7.69029 | − | 2.37214i | 0.267095 | − | 0.0823879i | −0.158315 | − | 0.987389i | \(-0.550606\pi\) |
0.425410 | + | 0.905001i | \(0.360130\pi\) | |||||||
\(830\) | −2.04834 | + | 0.986429i | −0.0710989 | + | 0.0342394i | ||||
\(831\) | −45.7674 | − | 16.5298i | −1.58765 | − | 0.573412i | ||||
\(832\) | −16.0242 | − | 27.7546i | −0.555537 | − | 0.962219i | ||||
\(833\) | −10.1174 | − | 10.1427i | −0.350546 | − | 0.351423i | ||||
\(834\) | 0.466010 | + | 16.9979i | 0.0161366 | + | 0.588588i | ||||
\(835\) | 3.95211 | − | 10.0698i | 0.136768 | − | 0.348480i | ||||
\(836\) | 3.55821 | + | 2.42595i | 0.123063 | + | 0.0839031i | ||||
\(837\) | 10.3715 | − | 13.2055i | 0.358491 | − | 0.456448i | ||||
\(838\) | −0.427863 | + | 5.70944i | −0.0147803 | + | 0.197229i | ||||
\(839\) | −19.0942 | + | 13.0182i | −0.659206 | + | 0.449439i | −0.846159 | − | 0.532930i | \(-0.821091\pi\) |
0.186954 | + | 0.982369i | \(0.440139\pi\) | |||||||
\(840\) | −28.0633 | − | 13.2362i | −0.968277 | − | 0.456692i | ||||
\(841\) | −6.29323 | − | 4.29065i | −0.217008 | − | 0.147953i | ||||
\(842\) | −17.3861 | + | 21.8015i | −0.599164 | + | 0.751328i | ||||
\(843\) | 10.8201 | − | 24.1389i | 0.372663 | − | 0.831389i | ||||
\(844\) | 11.7027 | + | 14.6747i | 0.402822 | + | 0.505123i | ||||
\(845\) | 2.60065 | + | 0.802195i | 0.0894652 | + | 0.0275963i | ||||
\(846\) | 6.07804 | − | 18.3915i | 0.208967 | − | 0.632313i | ||||
\(847\) | 6.37684 | + | 9.75282i | 0.219111 | + | 0.335111i | ||||
\(848\) | 6.04053 | + | 15.3910i | 0.207433 | + | 0.528530i | ||||
\(849\) | 5.53979 | − | 12.3590i | 0.190125 | − | 0.424158i | ||||
\(850\) | −0.361805 | − | 0.111602i | −0.0124098 | − | 0.00382791i | ||||
\(851\) | −24.1252 | + | 41.7860i | −0.827001 | + | 1.43241i | ||||
\(852\) | 0.283765 | + | 10.3504i | 0.00972162 | + | 0.354599i | ||||
\(853\) | −13.2044 | − | 4.07301i | −0.452110 | − | 0.139457i | 0.0603340 | − | 0.998178i | \(-0.480783\pi\) |
−0.512444 | + | 0.858721i | \(0.671260\pi\) | |||||||
\(854\) | 20.9043 | + | 8.67415i | 0.715330 | + | 0.296823i | ||||
\(855\) | 14.8027 | − | 5.47089i | 0.506241 | − | 0.187101i | ||||
\(856\) | −25.7613 | − | 23.9030i | −0.880502 | − | 0.816987i | ||||
\(857\) | 0.870221 | − | 1.09122i | 0.0297262 | − | 0.0372754i | −0.766746 | − | 0.641950i | \(-0.778126\pi\) |
0.796472 | + | 0.604675i | \(0.206697\pi\) | |||||||
\(858\) | −15.2769 | − | 11.5124i | −0.521545 | − | 0.393027i | ||||
\(859\) | −6.96637 | + | 30.5216i | −0.237689 | + | 1.04139i | 0.705391 | + | 0.708819i | \(0.250772\pi\) |
−0.943080 | + | 0.332566i | \(0.892085\pi\) | |||||||
\(860\) | 0.798335 | − | 0.246254i | 0.0272230 | − | 0.00839718i | ||||
\(861\) | −9.41912 | + | 24.5820i | −0.321003 | + | 0.837753i | ||||
\(862\) | −40.7984 | − | 12.5846i | −1.38960 | − | 0.428634i | ||||
\(863\) | 11.8269 | − | 20.4847i | 0.402591 | − | 0.697309i | −0.591446 | − | 0.806344i | \(-0.701443\pi\) |
0.994038 | + | 0.109035i | \(0.0347762\pi\) | |||||||
\(864\) | −17.6484 | − | 8.33814i | −0.600412 | − | 0.283669i | ||||
\(865\) | 6.17069 | − | 5.72556i | 0.209810 | − | 0.194675i | ||||
\(866\) | −1.58037 | − | 21.0885i | −0.0537031 | − | 0.716618i | ||||
\(867\) | −17.7217 | − | 13.3547i | −0.601859 | − | 0.453550i | ||||
\(868\) | −2.70474 | + | 5.34949i | −0.0918050 | + | 0.181573i | ||||
\(869\) | −2.97436 | + | 7.57854i | −0.100898 | + | 0.257084i | ||||
\(870\) | −14.0541 | − | 14.3378i | −0.476479 | − | 0.486097i | ||||
\(871\) | 34.6008 | + | 43.3880i | 1.17240 | + | 1.47015i | ||||
\(872\) | 0.200527 | + | 2.67585i | 0.00679070 | + | 0.0906156i | ||||
\(873\) | 40.2466 | + | 3.82611i | 1.36214 | + | 0.129494i | ||||
\(874\) | −22.4081 | + | 10.7912i | −0.757967 | + | 0.365017i | ||||
\(875\) | 16.4398 | + | 25.1433i | 0.555768 | + | 0.850000i | ||||
\(876\) | −5.19038 | + | 0.532357i | −0.175367 | + | 0.0179867i | ||||
\(877\) | 3.49960 | − | 1.68532i | 0.118173 | − | 0.0569091i | −0.373863 | − | 0.927484i | \(-0.621967\pi\) |
0.492036 | + | 0.870575i | \(0.336253\pi\) | |||||||
\(878\) | −28.2845 | − | 26.2442i | −0.954556 | − | 0.885698i | ||||
\(879\) | 14.9677 | + | 0.709866i | 0.504849 | + | 0.0239432i | ||||
\(880\) | −4.34660 | + | 11.0750i | −0.146524 | + | 0.373337i | ||||
\(881\) | −44.8121 | −1.50976 | −0.754880 | − | 0.655863i | \(-0.772305\pi\) | ||||
−0.754880 | + | 0.655863i | \(0.772305\pi\) | |||||||
\(882\) | −2.17417 | − | 23.8344i | −0.0732083 | − | 0.802548i | ||||
\(883\) | 0.606426 | 0.0204079 | 0.0102039 | − | 0.999948i | \(-0.496752\pi\) | ||||
0.0102039 | + | 0.999948i | \(0.496752\pi\) | |||||||
\(884\) | 1.97802 | − | 5.03992i | 0.0665281 | − | 0.169511i | ||||
\(885\) | 18.1508 | + | 35.1897i | 0.610134 | + | 1.18289i | ||||
\(886\) | −4.07967 | − | 3.78538i | −0.137059 | − | 0.127172i | ||||
\(887\) | 21.9600 | − | 10.5754i | 0.737344 | − | 0.355086i | −0.0272236 | − | 0.999629i | \(-0.508667\pi\) |
0.764568 | + | 0.644543i | \(0.222952\pi\) | |||||||
\(888\) | 11.5329 | − | 25.7292i | 0.387018 | − | 0.863415i | ||||
\(889\) | 12.6642 | + | 7.64171i | 0.424743 | + | 0.256295i | ||||
\(890\) | 22.4123 | − | 10.7932i | 0.751263 | − | 0.361789i | ||||
\(891\) | −23.0955 | − | 0.923480i | −0.773729 | − | 0.0309377i | ||||
\(892\) | −0.341575 | − | 4.55800i | −0.0114368 | − | 0.152613i | ||||
\(893\) | −8.44797 | − | 10.5934i | −0.282701 | − | 0.354495i | ||||
\(894\) | −5.30427 | + | 19.0331i | −0.177401 | + | 0.636562i | ||||
\(895\) | −4.32639 | + | 11.0235i | −0.144615 | + | 0.368474i | ||||
\(896\) | −5.56423 | − | 1.38364i | −0.185888 | − | 0.0462243i | ||||
\(897\) | −54.8923 | + | 23.2993i | −1.83280 | + | 0.777940i | ||||
\(898\) | −1.57748 | − | 21.0501i | −0.0526413 | − | 0.702450i | ||||
\(899\) | −10.9541 | + | 10.1639i | −0.365341 | + | 0.338987i | ||||
\(900\) | 0.186662 | + | 0.285893i | 0.00622207 | + | 0.00952978i | ||||
\(901\) | −8.03293 | + | 13.9134i | −0.267616 | + | 0.463524i | ||||
\(902\) | 16.0671 | + | 4.95604i | 0.534975 | + | 0.165018i | ||||
\(903\) | 1.83353 | + | 1.67389i | 0.0610162 | + | 0.0557036i | ||||
\(904\) | −5.92683 | + | 1.82818i | −0.197123 | + | 0.0608045i | ||||
\(905\) | 8.92404 | − | 39.0988i | 0.296645 | − | 1.29969i | ||||
\(906\) | 12.2185 | − | 5.18621i | 0.405934 | − | 0.172300i | ||||
\(907\) | −29.0950 | + | 36.4840i | −0.966083 | + | 1.21143i | 0.0112961 | + | 0.999936i | \(0.496404\pi\) |
−0.977379 | + | 0.211494i | \(0.932167\pi\) | |||||||
\(908\) | 14.2694 | + | 13.2401i | 0.473548 | + | 0.439388i | ||||
\(909\) | −8.66343 | − | 7.19669i | −0.287348 | − | 0.238699i | ||||
\(910\) | 21.9097 | − | 12.0912i | 0.726299 | − | 0.400819i | ||||
\(911\) | 20.1098 | + | 6.20306i | 0.666269 | + | 0.205517i | 0.609398 | − | 0.792865i | \(-0.291411\pi\) |
0.0568712 | + | 0.998382i | \(0.481888\pi\) | |||||||
\(912\) | 7.43368 | − | 4.56794i | 0.246154 | − | 0.151260i | ||||
\(913\) | 1.16464 | − | 2.01721i | 0.0385439 | − | 0.0667600i | ||||
\(914\) | 28.5217 | + | 8.79779i | 0.943415 | + | 0.291005i | ||||
\(915\) | 16.7491 | + | 23.1753i | 0.553707 | + | 0.766151i | ||||
\(916\) | 6.60392 | + | 16.8265i | 0.218200 | + | 0.555964i | ||||
\(917\) | −40.1803 | + | 14.8802i | −1.32687 | + | 0.491386i | ||||
\(918\) | 2.78459 | + | 11.7956i | 0.0919051 | + | 0.389312i | ||||
\(919\) | 28.6701 | + | 8.84355i | 0.945738 | + | 0.291722i | 0.729004 | − | 0.684509i | \(-0.239983\pi\) |
0.216734 | + | 0.976231i | \(0.430460\pi\) | |||||||
\(920\) | 38.5197 | + | 48.3021i | 1.26996 | + | 1.59247i | ||||
\(921\) | −47.8759 | + | 4.91045i | −1.57756 | + | 0.161805i | ||||
\(922\) | −3.20266 | + | 4.01601i | −0.105474 | + | 0.132260i | ||||
\(923\) | −26.5822 | − | 18.1234i | −0.874964 | − | 0.596540i | ||||
\(924\) | 8.14911 | − | 1.29574i | 0.268086 | − | 0.0426267i | ||||
\(925\) | −0.709245 | + | 0.483555i | −0.0233198 | + | 0.0158992i | ||||
\(926\) | −2.28238 | + | 30.4563i | −0.0750038 | + | 1.00086i | ||||
\(927\) | 39.6624 | + | 32.9475i | 1.30269 | + | 1.08214i | ||||
\(928\) | 14.3522 | + | 9.78517i | 0.471134 | + | 0.321214i | ||||
\(929\) | 19.7577 | − | 50.3418i | 0.648230 | − | 1.65166i | −0.105453 | − | 0.994424i | \(-0.533629\pi\) |
0.753683 | − | 0.657238i | \(-0.228275\pi\) | |||||||
\(930\) | 11.9539 | − | 7.34556i | 0.391983 | − | 0.240870i | ||||
\(931\) | −14.7919 | − | 7.84141i | −0.484785 | − | 0.256992i | ||||
\(932\) | −7.25589 | − | 12.5676i | −0.237674 | − | 0.411664i | ||||
\(933\) | 6.17169 | − | 5.20476i | 0.202052 | − | 0.170396i | ||||
\(934\) | −13.9040 | + | 6.69582i | −0.454953 | + | 0.219094i | ||||
\(935\) | −11.0469 | + | 3.40753i | −0.361274 | + | 0.111438i | ||||
\(936\) | 30.5204 | − | 16.8170i | 0.997592 | − | 0.549681i | ||||
\(937\) | 50.2070 | + | 24.1784i | 1.64019 | + | 0.789874i | 0.999761 | + | 0.0218578i | \(0.00695810\pi\) |
0.640430 | + | 0.768017i | \(0.278756\pi\) | |||||||
\(938\) | 44.1519 | + | 4.16810i | 1.44161 | + | 0.136093i | ||||
\(939\) | 30.3675 | + | 1.44022i | 0.991006 | + | 0.0469998i | ||||
\(940\) | −5.44699 | + | 6.83030i | −0.177661 | + | 0.222780i | ||||
\(941\) | −25.9178 | + | 17.6704i | −0.844896 | + | 0.576040i | −0.906570 | − | 0.422056i | \(-0.861309\pi\) |
0.0616739 | + | 0.998096i | \(0.480356\pi\) | |||||||
\(942\) | 36.7704 | + | 13.2803i | 1.19804 | + | 0.432697i | ||||
\(943\) | 38.4235 | − | 35.6518i | 1.25124 | − | 1.16098i | ||||
\(944\) | 13.6487 | + | 17.1149i | 0.444228 | + | 0.557044i | ||||
\(945\) | 13.4429 | − | 27.0852i | 0.437296 | − | 0.881082i | ||||
\(946\) | 0.988690 | − | 1.23978i | 0.0321451 | − | 0.0403087i | ||||
\(947\) | −3.76634 | − | 50.2583i | −0.122390 | − | 1.63317i | −0.633559 | − | 0.773695i | \(-0.718407\pi\) |
0.511169 | − | 0.859480i | \(-0.329213\pi\) | |||||||
\(948\) | −2.69473 | − | 2.74912i | −0.0875208 | − | 0.0892873i | ||||
\(949\) | 8.10599 | − | 14.0400i | 0.263132 | − | 0.455757i | ||||
\(950\) | −0.442473 | −0.0143557 | ||||||||
\(951\) | −1.74352 | + | 6.25621i | −0.0565376 | + | 0.202872i | ||||
\(952\) | −6.94079 | − | 15.1551i | −0.224952 | − | 0.491178i | ||||
\(953\) | 4.85496 | − | 21.2710i | 0.157267 | − | 0.689034i | −0.833393 | − | 0.552681i | \(-0.813605\pi\) |
0.990660 | − | 0.136353i | \(-0.0435381\pi\) | |||||||
\(954\) | −25.1756 | + | 9.30458i | −0.815089 | + | 0.301247i | ||||
\(955\) | −27.8872 | − | 4.20332i | −0.902409 | − | 0.136016i | ||||
\(956\) | 11.2034 | − | 14.0486i | 0.362342 | − | 0.454363i | ||||
\(957\) | 20.1720 | + | 4.02590i | 0.652067 | + | 0.130139i | ||||
\(958\) | −32.6285 | + | 10.0646i | −1.05418 | + | 0.325171i | ||||
\(959\) | −38.2376 | + | 14.1607i | −1.23476 | + | 0.457273i | ||||
\(960\) | −22.6502 | − | 23.1073i | −0.731031 | − | 0.745786i | ||||
\(961\) | 10.2787 | + | 17.8032i | 0.331570 | + | 0.574296i | ||||
\(962\) | 11.3701 | + | 19.6936i | 0.366587 | + | 0.634947i | ||||
\(963\) | 23.7910 | − | 24.6346i | 0.766654 | − | 0.793838i | ||||
\(964\) | 15.1513 | − | 10.3300i | 0.487990 | − | 0.332706i | ||||
\(965\) | −10.8352 | − | 27.6076i | −0.348797 | − | 0.888721i | ||||
\(966\) | −17.0509 | + | 44.4994i | −0.548603 | + | 1.43174i | ||||
\(967\) | 5.95934 | − | 15.1842i | 0.191640 | − | 0.488290i | −0.802467 | − | 0.596696i | \(-0.796480\pi\) |
0.994107 | + | 0.108407i | \(0.0345749\pi\) | |||||||
\(968\) | 3.01697 | + | 13.2182i | 0.0969691 | + | 0.424849i | ||||
\(969\) | 7.97386 | + | 2.87991i | 0.256157 | + | 0.0925161i | ||||
\(970\) | 30.4351 | + | 14.6568i | 0.977211 | + | 0.470600i | ||||
\(971\) | −3.93915 | − | 10.0368i | −0.126413 | − | 0.322096i | 0.853630 | − | 0.520880i | \(-0.174396\pi\) |
−0.980043 | + | 0.198784i | \(0.936301\pi\) | |||||||
\(972\) | 4.86530 | − | 9.78666i | 0.156055 | − | 0.313907i | ||||
\(973\) | 22.3133 | − | 4.64114i | 0.715332 | − | 0.148788i | ||||
\(974\) | −1.19806 | + | 0.816821i | −0.0383882 | + | 0.0261726i | ||||
\(975\) | −1.05970 | − | 0.0502580i | −0.0339377 | − | 0.00160954i | ||||
\(976\) | 11.5887 | + | 10.7527i | 0.370944 | + | 0.344186i | ||||
\(977\) | −1.23443 | + | 16.4724i | −0.0394931 | + | 0.526998i | 0.942014 | + | 0.335573i | \(0.108930\pi\) |
−0.981507 | + | 0.191425i | \(0.938689\pi\) | |||||||
\(978\) | −34.7493 | − | 12.5504i | −1.11116 | − | 0.401317i | ||||
\(979\) | −12.7431 | + | 22.0717i | −0.407272 | + | 0.705416i | ||||
\(980\) | −2.80687 | + | 10.4233i | −0.0896622 | + | 0.332959i | ||||
\(981\) | −2.61106 | + | 0.143276i | −0.0833648 | + | 0.00457446i | ||||
\(982\) | −26.0738 | + | 3.93000i | −0.832050 | + | 0.125411i | ||||
\(983\) | −11.4391 | + | 5.50879i | −0.364851 | + | 0.175703i | −0.607322 | − | 0.794455i | \(-0.707756\pi\) |
0.242471 | + | 0.970159i | \(0.422042\pi\) | |||||||
\(984\) | −20.2104 | + | 23.0158i | −0.644284 | + | 0.733716i | ||||
\(985\) | −8.22287 | + | 3.95992i | −0.262002 | + | 0.126174i | ||||
\(986\) | −0.806021 | − | 10.7556i | −0.0256689 | − | 0.342528i | ||||
\(987\) | −25.7019 | − | 3.66170i | −0.818101 | − | 0.116553i | ||||
\(988\) | 0.472829 | − | 6.30947i | 0.0150427 | − | 0.200731i | ||||
\(989\) | −1.80600 | − | 4.60162i | −0.0574275 | − | 0.146323i | ||||
\(990\) | −17.8337 | − | 7.41376i | −0.566792 | − | 0.235625i | ||||
\(991\) | −17.0896 | + | 43.5437i | −0.542871 | + | 1.38321i | 0.351628 | + | 0.936140i | \(0.385628\pi\) |
−0.894498 | + | 0.447072i | \(0.852467\pi\) | |||||||
\(992\) | −8.89849 | + | 8.25660i | −0.282527 | + | 0.262147i | ||||
\(993\) | −5.17343 | − | 28.9211i | −0.164174 | − | 0.917783i | ||||
\(994\) | −25.1714 | + | 5.23563i | −0.798389 | + | 0.166064i | ||||
\(995\) | 33.1483 | + | 4.99630i | 1.05087 | + | 0.158393i | ||||
\(996\) | 0.645139 | + | 0.892663i | 0.0204420 | + | 0.0282851i | ||||
\(997\) | −2.34024 | − | 10.2532i | −0.0741161 | − | 0.324724i | 0.924255 | − | 0.381775i | \(-0.124687\pi\) |
−0.998371 | + | 0.0570516i | \(0.981830\pi\) | |||||||
\(998\) | −5.78762 | − | 10.0244i | −0.183204 | − | 0.317318i | ||||
\(999\) | 24.8442 | + | 11.7378i | 0.786034 | + | 0.371368i |
(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.z.a.142.18 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.18 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.18 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.18 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.18 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.18 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.18 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.18 | yes | 648 | 441.382 | even | 21 | inner |