Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,10,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), 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: | \(19.5713617742\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 17.1 | ||
Character | \(\chi\) | \(=\) | 38.17 |
Dual form | 38.10.e.a.9.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.77837 | + | 15.7569i | −0.122788 | + | 0.696364i | ||||
\(3\) | −167.700 | − | 140.717i | −1.19533 | − | 1.00300i | −0.999751 | − | 0.0223113i | \(-0.992898\pi\) |
−0.195577 | − | 0.980688i | \(-0.562658\pi\) | |||||||
\(4\) | −240.561 | − | 87.5572i | −0.469846 | − | 0.171010i | ||||
\(5\) | 1637.73 | − | 596.085i | 1.17186 | − | 0.426523i | 0.318542 | − | 0.947909i | \(-0.396807\pi\) |
0.853321 | + | 0.521385i | \(0.174585\pi\) | |||||||
\(6\) | 2683.20 | − | 2251.47i | 0.845225 | − | 0.709228i | ||||
\(7\) | 1264.29 | + | 2189.82i | 0.199025 | + | 0.344721i | 0.948212 | − | 0.317637i | \(-0.102889\pi\) |
−0.749188 | + | 0.662358i | \(0.769556\pi\) | |||||||
\(8\) | 2048.00 | − | 3547.24i | 0.176777 | − | 0.306186i | ||||
\(9\) | 4904.09 | + | 27812.5i | 0.249154 | + | 1.41302i | ||||
\(10\) | 4842.24 | + | 27461.7i | 0.153125 | + | 0.868416i | ||||
\(11\) | −9578.04 | + | 16589.7i | −0.197247 | + | 0.341641i | −0.947635 | − | 0.319356i | \(-0.896533\pi\) |
0.750388 | + | 0.660998i | \(0.229867\pi\) | |||||||
\(12\) | 28021.3 | + | 48534.4i | 0.390098 | + | 0.675669i | ||||
\(13\) | 85375.5 | − | 71638.6i | 0.829065 | − | 0.695668i | −0.126011 | − | 0.992029i | \(-0.540218\pi\) |
0.955076 | + | 0.296361i | \(0.0957732\pi\) | |||||||
\(14\) | −38017.5 | + | 13837.2i | −0.264489 | + | 0.0962661i | ||||
\(15\) | −358526. | − | 130493.i | −1.82856 | − | 0.665543i | ||||
\(16\) | 50203.5 | + | 42125.7i | 0.191511 | + | 0.160697i | ||||
\(17\) | 31767.4 | − | 180162.i | 0.0922491 | − | 0.523171i | −0.903307 | − | 0.428996i | \(-0.858868\pi\) |
0.995556 | − | 0.0941750i | \(-0.0300213\pi\) | |||||||
\(18\) | −451864. | −1.01457 | ||||||||
\(19\) | −341929. | − | 453621.i | −0.601929 | − | 0.798550i | ||||
\(20\) | −446166. | −0.623535 | ||||||||
\(21\) | 96122.9 | − | 545140.i | 0.107855 | − | 0.611676i | ||||
\(22\) | −234791. | − | 197013.i | −0.213687 | − | 0.179305i | ||||
\(23\) | 175354. | + | 63823.5i | 0.130659 | + | 0.0475560i | 0.406522 | − | 0.913641i | \(-0.366741\pi\) |
−0.275863 | + | 0.961197i | \(0.588964\pi\) | |||||||
\(24\) | −842606. | + | 306684.i | −0.518411 | + | 0.188686i | ||||
\(25\) | 830658. | − | 697005.i | 0.425297 | − | 0.356867i | ||||
\(26\) | 891599. | + | 1.54429e6i | 0.382639 | + | 0.662750i | ||||
\(27\) | 936802. | − | 1.62259e6i | 0.339243 | − | 0.587586i | ||||
\(28\) | −112406. | − | 637484.i | −0.0345602 | − | 0.196001i | ||||
\(29\) | −667569. | − | 3.78597e6i | −0.175269 | − | 0.994000i | −0.937833 | − | 0.347087i | \(-0.887171\pi\) |
0.762564 | − | 0.646913i | \(-0.223940\pi\) | |||||||
\(30\) | 3.05228e6 | − | 5.28671e6i | 0.687986 | − | 1.19163i | ||||
\(31\) | −1.82078e6 | − | 3.15367e6i | −0.354102 | − | 0.613323i | 0.632862 | − | 0.774265i | \(-0.281880\pi\) |
−0.986964 | + | 0.160942i | \(0.948547\pi\) | |||||||
\(32\) | −803256. | + | 674012.i | −0.135419 | + | 0.113630i | ||||
\(33\) | 3.94068e6 | − | 1.43429e6i | 0.578441 | − | 0.210535i | ||||
\(34\) | 2.75054e6 | + | 1.00111e6i | 0.352990 | + | 0.128478i | ||||
\(35\) | 3.37589e6 | + | 2.83271e6i | 0.380261 | + | 0.319077i | ||||
\(36\) | 1.25545e6 | − | 7.11999e6i | 0.124577 | − | 0.706510i | ||||
\(37\) | −1.95186e7 | −1.71215 | −0.856074 | − | 0.516853i | \(-0.827103\pi\) | ||||
−0.856074 | + | 0.516853i | \(0.827103\pi\) | |||||||
\(38\) | 8.09768e6 | − | 4.12743e6i | 0.629991 | − | 0.321110i | ||||
\(39\) | −2.43982e7 | −1.68876 | ||||||||
\(40\) | 1.23961e6 | − | 7.03020e6i | 0.0765625 | − | 0.434208i | ||||
\(41\) | −5.59031e6 | − | 4.69083e6i | −0.308964 | − | 0.259252i | 0.475099 | − | 0.879932i | \(-0.342412\pi\) |
−0.784064 | + | 0.620680i | \(0.786857\pi\) | |||||||
\(42\) | 8.32267e6 | + | 3.02920e6i | 0.412706 | + | 0.150213i | ||||
\(43\) | −3.37097e7 | + | 1.22693e7i | −1.50365 | + | 0.547285i | −0.957003 | − | 0.290077i | \(-0.906319\pi\) |
−0.546649 | + | 0.837362i | \(0.684097\pi\) | |||||||
\(44\) | 3.75665e6 | − | 3.15220e6i | 0.151100 | − | 0.126788i | ||||
\(45\) | 2.46101e7 | + | 4.26260e7i | 0.894660 | + | 1.54960i | ||||
\(46\) | −1.49286e6 | + | 2.58571e6i | −0.0491596 | + | 0.0851470i | ||||
\(47\) | −4.34780e6 | − | 2.46576e7i | −0.129966 | − | 0.737073i | −0.978234 | − | 0.207506i | \(-0.933465\pi\) |
0.848268 | − | 0.529567i | \(-0.177646\pi\) | |||||||
\(48\) | −2.49132e6 | − | 1.41290e7i | −0.0677397 | − | 0.384171i | ||||
\(49\) | 1.69799e7 | − | 2.94101e7i | 0.420778 | − | 0.728810i | ||||
\(50\) | 8.67478e6 | + | 1.50252e7i | 0.196288 | + | 0.339981i | ||||
\(51\) | −3.06793e7 | + | 2.57430e7i | −0.635008 | + | 0.532835i | ||||
\(52\) | −2.68105e7 | + | 9.75823e6i | −0.508499 | + | 0.185079i | ||||
\(53\) | 6.02325e7 | + | 2.19228e7i | 1.04855 | + | 0.381641i | 0.808116 | − | 0.589024i | \(-0.200488\pi\) |
0.240436 | + | 0.970665i | \(0.422710\pi\) | |||||||
\(54\) | 2.29642e7 | + | 1.92693e7i | 0.367519 | + | 0.308385i | ||||
\(55\) | −5.79740e6 | + | 3.28787e7i | −0.0854282 | + | 0.484487i | ||||
\(56\) | 1.03571e7 | 0.140732 | ||||||||
\(57\) | −6.49062e6 | + | 1.24187e8i | −0.0814421 | + | 1.55826i | ||||
\(58\) | 6.15100e7 | 0.713707 | ||||||||
\(59\) | 1.50339e7 | − | 8.52613e7i | 0.161524 | − | 0.916048i | −0.791052 | − | 0.611748i | \(-0.790467\pi\) |
0.952576 | − | 0.304299i | \(-0.0984223\pi\) | |||||||
\(60\) | 7.48219e7 | + | 6.27831e7i | 0.745330 | + | 0.625406i | ||||
\(61\) | 8.08920e7 | + | 2.94423e7i | 0.748034 | + | 0.272262i | 0.687778 | − | 0.725921i | \(-0.258586\pi\) |
0.0602556 | + | 0.998183i | \(0.480808\pi\) | |||||||
\(62\) | 5.47510e7 | − | 1.99277e7i | 0.470576 | − | 0.171276i | ||||
\(63\) | −5.47041e7 | + | 4.59022e7i | −0.437509 | + | 0.367114i | ||||
\(64\) | −8.38861e6 | − | 1.45295e7i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 9.71193e7 | − | 1.68216e8i | 0.674832 | − | 1.16884i | ||||
\(66\) | 1.16513e7 | + | 6.60780e7i | 0.0755837 | + | 0.428657i | ||||
\(67\) | 2.22303e7 | + | 1.26074e8i | 0.134775 | + | 0.764345i | 0.975016 | + | 0.222133i | \(0.0713019\pi\) |
−0.840242 | + | 0.542212i | \(0.817587\pi\) | |||||||
\(68\) | −2.34165e7 | + | 4.05586e7i | −0.132810 | + | 0.230034i | ||||
\(69\) | −2.04257e7 | − | 3.53784e7i | −0.108482 | − | 0.187896i | ||||
\(70\) | −5.40142e7 | + | 4.53233e7i | −0.268885 | + | 0.225621i | ||||
\(71\) | −3.73825e8 | + | 1.36061e8i | −1.74584 | + | 0.635436i | −0.999545 | − | 0.0301738i | \(-0.990394\pi\) |
−0.746300 | + | 0.665609i | \(0.768172\pi\) | |||||||
\(72\) | 1.08701e8 | + | 3.95640e7i | 0.476692 | + | 0.173502i | ||||
\(73\) | −2.45830e8 | − | 2.06276e8i | −1.01317 | − | 0.850152i | −0.0244171 | − | 0.999702i | \(-0.507773\pi\) |
−0.988754 | + | 0.149550i | \(0.952217\pi\) | |||||||
\(74\) | 5.42300e7 | − | 3.07553e8i | 0.210231 | − | 1.19228i | ||||
\(75\) | −2.37382e8 | −0.866307 | ||||||||
\(76\) | 4.25372e7 | + | 1.39062e8i | 0.146254 | + | 0.478132i | ||||
\(77\) | −4.84378e7 | −0.157028 | ||||||||
\(78\) | 6.77873e7 | − | 3.84441e8i | 0.207359 | − | 1.17599i | ||||
\(79\) | −1.25858e7 | − | 1.05607e7i | −0.0363545 | − | 0.0305050i | 0.624429 | − | 0.781081i | \(-0.285332\pi\) |
−0.660784 | + | 0.750576i | \(0.729776\pi\) | |||||||
\(80\) | 1.07330e8 | + | 3.90650e7i | 0.292966 | + | 0.106631i | ||||
\(81\) | 1.36927e8 | − | 4.98374e7i | 0.353433 | − | 0.128639i | ||||
\(82\) | 8.94450e7 | − | 7.50532e7i | 0.218471 | − | 0.183319i | ||||
\(83\) | 2.48399e8 | + | 4.30240e8i | 0.574511 | + | 0.995082i | 0.996095 | + | 0.0882927i | \(0.0281411\pi\) |
−0.421584 | + | 0.906790i | \(0.638526\pi\) | |||||||
\(84\) | −7.08544e7 | + | 1.22723e8i | −0.155278 | + | 0.268949i | ||||
\(85\) | −5.53654e7 | − | 3.13993e8i | −0.115041 | − | 0.652431i | ||||
\(86\) | −9.96689e7 | − | 5.65251e8i | −0.196479 | − | 1.11429i | ||||
\(87\) | −4.20799e8 | + | 7.28846e8i | −0.787478 | + | 1.36395i | ||||
\(88\) | 3.92317e7 | + | 6.79512e7i | 0.0697372 | + | 0.120788i | ||||
\(89\) | 7.81440e8 | − | 6.55706e8i | 1.32020 | − | 1.10778i | 0.333940 | − | 0.942594i | \(-0.391622\pi\) |
0.986262 | − | 0.165187i | \(-0.0528229\pi\) | |||||||
\(90\) | −7.40031e8 | + | 2.69349e8i | −1.18894 | + | 0.432738i | ||||
\(91\) | 2.64815e8 | + | 9.63849e7i | 0.404815 | + | 0.147341i | ||||
\(92\) | −3.65951e7 | − | 3.07069e7i | −0.0532571 | − | 0.0446880i | ||||
\(93\) | −1.38432e8 | + | 7.85085e8i | −0.191894 | + | 1.08829i | ||||
\(94\) | 4.00608e8 | 0.529229 | ||||||||
\(95\) | −8.30384e8 | − | 5.39089e8i | −1.04598 | − | 0.679054i | ||||
\(96\) | 2.29551e8 | 0.275841 | ||||||||
\(97\) | 2.22336e8 | − | 1.26093e9i | 0.254998 | − | 1.44617i | −0.541080 | − | 0.840971i | \(-0.681984\pi\) |
0.796078 | − | 0.605194i | \(-0.206905\pi\) | |||||||
\(98\) | 4.16236e8 | + | 3.49264e8i | 0.455851 | + | 0.382504i | ||||
\(99\) | −5.08371e8 | − | 1.85032e8i | −0.531891 | − | 0.193592i | ||||
\(100\) | −2.60852e8 | + | 9.49424e7i | −0.260852 | + | 0.0949424i | ||||
\(101\) | −5.41834e8 | + | 4.54653e8i | −0.518108 | + | 0.434744i | −0.863971 | − | 0.503541i | \(-0.832030\pi\) |
0.345864 | + | 0.938285i | \(0.387586\pi\) | |||||||
\(102\) | −3.20391e8 | − | 5.54934e8i | −0.293076 | − | 0.507622i | ||||
\(103\) | 1.01155e9 | − | 1.75206e9i | 0.885567 | − | 1.53385i | 0.0405038 | − | 0.999179i | \(-0.487104\pi\) |
0.845063 | − | 0.534667i | \(-0.179563\pi\) | |||||||
\(104\) | −7.92701e7 | − | 4.49563e8i | −0.0664446 | − | 0.376826i | ||||
\(105\) | −1.67526e8 | − | 9.50089e8i | −0.134503 | − | 0.762803i | ||||
\(106\) | −5.12785e8 | + | 8.88170e8i | −0.394511 | + | 0.683313i | ||||
\(107\) | −1.08027e9 | − | 1.87109e9i | −0.796723 | − | 1.37996i | −0.921739 | − | 0.387810i | \(-0.873232\pi\) |
0.125016 | − | 0.992155i | \(-0.460102\pi\) | |||||||
\(108\) | −3.67427e8 | + | 3.08308e8i | −0.259875 | + | 0.218061i | ||||
\(109\) | 1.03306e9 | − | 3.76004e8i | 0.700982 | − | 0.255137i | 0.0331520 | − | 0.999450i | \(-0.489445\pi\) |
0.667830 | + | 0.744314i | \(0.267223\pi\) | |||||||
\(110\) | −5.01960e8 | − | 1.82698e8i | −0.326890 | − | 0.118978i | ||||
\(111\) | 3.27327e9 | + | 2.74660e9i | 2.04658 | + | 1.71728i | ||||
\(112\) | −2.87758e7 | + | 1.63196e8i | −0.0172801 | + | 0.0980005i | ||||
\(113\) | −1.55723e9 | −0.898461 | −0.449230 | − | 0.893416i | \(-0.648302\pi\) | ||||
−0.449230 | + | 0.893416i | \(0.648302\pi\) | |||||||
\(114\) | −1.93878e9 | − | 4.47311e8i | −1.07512 | − | 0.248049i | ||||
\(115\) | 3.25226e8 | 0.173398 | ||||||||
\(116\) | −1.70898e8 | + | 9.69209e8i | −0.0876345 | + | 0.497000i | ||||
\(117\) | 2.41113e9 | + | 2.02318e9i | 1.18956 | + | 0.998157i | ||||
\(118\) | 1.30169e9 | + | 4.73775e8i | 0.618070 | + | 0.224959i | ||||
\(119\) | 4.34686e8 | − | 1.58213e8i | 0.198708 | − | 0.0723236i | ||||
\(120\) | −1.19715e9 | + | 1.00453e9i | −0.527028 | + | 0.442229i | ||||
\(121\) | 9.95496e8 | + | 1.72425e9i | 0.422187 | + | 0.731250i | ||||
\(122\) | −6.88667e8 | + | 1.19281e9i | −0.281443 | + | 0.487473i | ||||
\(123\) | 2.77416e8 | + | 1.57330e9i | 0.109284 | + | 0.619782i | ||||
\(124\) | 1.61881e8 | + | 9.18074e8i | 0.0614892 | + | 0.348723i | ||||
\(125\) | −7.57068e8 | + | 1.31128e9i | −0.277357 | + | 0.480397i | ||||
\(126\) | −5.71289e8 | − | 9.89502e8i | −0.201924 | − | 0.349743i | ||||
\(127\) | 5.01570e8 | − | 4.20867e8i | 0.171086 | − | 0.143558i | −0.553224 | − | 0.833032i | \(-0.686603\pi\) |
0.724310 | + | 0.689474i | \(0.242158\pi\) | |||||||
\(128\) | 2.52247e8 | − | 9.18103e7i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 7.37962e9 | + | 2.68596e9i | 2.34628 | + | 0.853978i | ||||
\(130\) | 2.38073e9 | + | 1.99767e9i | 0.731079 | + | 0.613448i | ||||
\(131\) | 8.45754e7 | − | 4.79651e8i | 0.0250913 | − | 0.142300i | −0.969689 | − | 0.244344i | \(-0.921427\pi\) |
0.994780 | + | 0.102044i | \(0.0325384\pi\) | |||||||
\(132\) | −1.07356e9 | −0.307782 | ||||||||
\(133\) | 5.61049e8 | − | 1.32227e9i | 0.155478 | − | 0.366428i | ||||
\(134\) | −2.04830e9 | −0.548811 | ||||||||
\(135\) | 5.67027e8 | − | 3.21577e9i | 0.146927 | − | 0.833265i | ||||
\(136\) | −5.74019e8 | − | 4.81659e8i | −0.143880 | − | 0.120730i | ||||
\(137\) | −4.40733e9 | − | 1.60414e9i | −1.06889 | − | 0.389044i | −0.253128 | − | 0.967433i | \(-0.581459\pi\) |
−0.815761 | + | 0.578389i | \(0.803682\pi\) | |||||||
\(138\) | 6.14205e8 | − | 2.23552e8i | 0.144164 | − | 0.0524715i | ||||
\(139\) | −5.47222e9 | + | 4.59173e9i | −1.24336 | + | 1.04330i | −0.246105 | + | 0.969243i | \(0.579151\pi\) |
−0.997254 | + | 0.0740592i | \(0.976405\pi\) | |||||||
\(140\) | −5.64084e8 | − | 9.77023e8i | −0.124099 | − | 0.214946i | ||||
\(141\) | −2.74062e9 | + | 4.74689e9i | −0.583932 | + | 1.01140i | ||||
\(142\) | −1.10528e9 | − | 6.26836e9i | −0.228126 | − | 1.29377i | ||||
\(143\) | 3.70729e8 | + | 2.10251e9i | 0.0741386 | + | 0.420461i | ||||
\(144\) | −9.25418e8 | + | 1.60287e9i | −0.179352 | + | 0.310647i | ||||
\(145\) | −3.35006e9 | − | 5.80247e9i | −0.629356 | − | 1.09008i | ||||
\(146\) | 3.93329e9 | − | 3.30042e9i | 0.716420 | − | 0.601148i | ||||
\(147\) | −6.98603e9 | + | 2.54271e9i | −1.23396 | + | 0.449126i | ||||
\(148\) | 4.69543e9 | + | 1.70899e9i | 0.804447 | + | 0.292795i | ||||
\(149\) | 2.42100e9 | + | 2.03146e9i | 0.402399 | + | 0.337653i | 0.821420 | − | 0.570324i | \(-0.193182\pi\) |
−0.419021 | + | 0.907977i | \(0.637627\pi\) | |||||||
\(150\) | 6.59535e8 | − | 3.74041e9i | 0.106372 | − | 0.603265i | ||||
\(151\) | 3.49338e9 | 0.546827 | 0.273413 | − | 0.961897i | \(-0.411847\pi\) | ||||
0.273413 | + | 0.961897i | \(0.411847\pi\) | |||||||
\(152\) | −2.30937e9 | + | 2.83890e8i | −0.350912 | + | 0.0431374i | ||||
\(153\) | 5.16654e9 | 0.762235 | ||||||||
\(154\) | 1.34578e8 | − | 7.63231e8i | 0.0192811 | − | 0.109348i | ||||
\(155\) | −4.86179e9 | − | 4.07953e9i | −0.676556 | − | 0.567698i | ||||
\(156\) | 5.86927e9 | + | 2.13624e9i | 0.793457 | + | 0.288795i | ||||
\(157\) | −2.06307e9 | + | 7.50897e8i | −0.270998 | + | 0.0986352i | −0.473945 | − | 0.880555i | \(-0.657170\pi\) |
0.202947 | + | 0.979190i | \(0.434948\pi\) | |||||||
\(158\) | 2.01372e8 | − | 1.68971e8i | 0.0257065 | − | 0.0215703i | ||||
\(159\) | −7.01607e9 | − | 1.21522e10i | −0.870577 | − | 1.50788i | ||||
\(160\) | −9.13747e8 | + | 1.58266e9i | −0.110227 | + | 0.190918i | ||||
\(161\) | 8.19364e7 | + | 4.64685e8i | 0.00961082 | + | 0.0545057i | ||||
\(162\) | 4.04850e8 | + | 2.29602e9i | 0.0461824 | + | 0.261913i | ||||
\(163\) | 3.66968e9 | − | 6.35608e9i | 0.407178 | − | 0.705253i | −0.587394 | − | 0.809301i | \(-0.699846\pi\) |
0.994572 | + | 0.104048i | \(0.0331795\pi\) | |||||||
\(164\) | 9.34097e8 | + | 1.61790e9i | 0.100831 | + | 0.174645i | ||||
\(165\) | 5.59881e9 | − | 4.69796e9i | 0.588055 | − | 0.493437i | ||||
\(166\) | −7.46940e9 | + | 2.71864e9i | −0.763483 | + | 0.277885i | ||||
\(167\) | 5.82743e9 | + | 2.12101e9i | 0.579767 | + | 0.211018i | 0.615223 | − | 0.788353i | \(-0.289066\pi\) |
−0.0354560 | + | 0.999371i | \(0.511288\pi\) | |||||||
\(168\) | −1.73688e9 | − | 1.45742e9i | −0.168220 | − | 0.141154i | ||||
\(169\) | 3.15444e8 | − | 1.78897e9i | 0.0297462 | − | 0.168699i | ||||
\(170\) | 5.10139e9 | 0.468455 | ||||||||
\(171\) | 1.09395e10 | − | 1.17345e10i | 0.978394 | − | 1.04950i | ||||
\(172\) | 9.18353e9 | 0.800077 | ||||||||
\(173\) | 2.78844e9 | − | 1.58140e10i | 0.236676 | − | 1.34225i | −0.602381 | − | 0.798209i | \(-0.705781\pi\) |
0.839056 | − | 0.544045i | \(-0.183108\pi\) | |||||||
\(174\) | −1.03152e10 | − | 8.65550e9i | −0.853114 | − | 0.715848i | ||||
\(175\) | 2.57651e9 | + | 9.37773e8i | 0.207664 | + | 0.0755835i | ||||
\(176\) | −1.17970e9 | + | 4.29377e8i | −0.0926756 | + | 0.0337312i | ||||
\(177\) | −1.45189e10 | + | 1.21828e10i | −1.11187 | + | 0.932969i | ||||
\(178\) | 8.16078e9 | + | 1.41349e10i | 0.609315 | + | 1.05536i | ||||
\(179\) | −3.30073e9 | + | 5.71703e9i | −0.240310 | + | 0.416228i | −0.960802 | − | 0.277234i | \(-0.910582\pi\) |
0.720493 | + | 0.693462i | \(0.243916\pi\) | |||||||
\(180\) | −2.18804e9 | − | 1.24090e10i | −0.155356 | − | 0.881068i | ||||
\(181\) | 4.60797e9 | + | 2.61331e10i | 0.319121 | + | 1.80983i | 0.548120 | + | 0.836400i | \(0.315344\pi\) |
−0.228998 | + | 0.973427i | \(0.573545\pi\) | |||||||
\(182\) | −2.25448e9 | + | 3.90488e9i | −0.152309 | + | 0.263807i | ||||
\(183\) | −9.42255e9 | − | 1.63203e10i | −0.621067 | − | 1.07572i | ||||
\(184\) | 5.85522e8 | − | 4.91311e8i | 0.0376585 | − | 0.0315992i | ||||
\(185\) | −3.19662e10 | + | 1.16347e10i | −2.00640 | + | 0.730271i | ||||
\(186\) | −1.19859e10 | − | 4.36251e9i | −0.734282 | − | 0.267257i | ||||
\(187\) | 2.68456e9 | + | 2.25261e9i | 0.160541 | + | 0.134710i | ||||
\(188\) | −1.11304e9 | + | 6.31234e9i | −0.0649829 | + | 0.368536i | ||||
\(189\) | 4.73757e9 | 0.270071 | ||||||||
\(190\) | 1.08015e10 | − | 1.15865e10i | 0.601302 | − | 0.645003i | ||||
\(191\) | −5.31358e9 | −0.288893 | −0.144447 | − | 0.989513i | \(-0.546140\pi\) | ||||
−0.144447 | + | 0.989513i | \(0.546140\pi\) | |||||||
\(192\) | −6.37777e8 | + | 3.61701e9i | −0.0338699 | + | 0.192086i | ||||
\(193\) | −5.31494e9 | − | 4.45977e9i | −0.275734 | − | 0.231369i | 0.494425 | − | 0.869220i | \(-0.335379\pi\) |
−0.770159 | + | 0.637852i | \(0.779823\pi\) | |||||||
\(194\) | 1.92506e10 | + | 7.00666e9i | 0.975747 | + | 0.355143i | ||||
\(195\) | −3.99577e10 | + | 1.45434e10i | −1.97899 | + | 0.720295i | ||||
\(196\) | −6.65978e9 | + | 5.58822e9i | −0.322335 | + | 0.270471i | ||||
\(197\) | 4.14221e9 | + | 7.17452e9i | 0.195945 | + | 0.339386i | 0.947210 | − | 0.320614i | \(-0.103889\pi\) |
−0.751265 | + | 0.660001i | \(0.770556\pi\) | |||||||
\(198\) | 4.32798e9 | − | 7.49627e9i | 0.200120 | − | 0.346619i | ||||
\(199\) | 5.82869e8 | + | 3.30561e9i | 0.0263470 | + | 0.149422i | 0.995143 | − | 0.0984370i | \(-0.0313843\pi\) |
−0.968796 | + | 0.247859i | \(0.920273\pi\) | |||||||
\(200\) | −7.71256e8 | − | 4.37401e9i | −0.0340850 | − | 0.193306i | ||||
\(201\) | 1.40128e10 | − | 2.42708e10i | 0.605538 | − | 1.04882i | ||||
\(202\) | −5.65851e9 | − | 9.80083e9i | −0.239123 | − | 0.414173i | ||||
\(203\) | 7.44660e9 | − | 6.24844e9i | 0.307770 | − | 0.258249i | ||||
\(204\) | 9.63422e9 | − | 3.50657e9i | 0.389476 | − | 0.141758i | ||||
\(205\) | −1.19515e10 | − | 4.35001e9i | −0.472641 | − | 0.172027i | ||||
\(206\) | 2.47966e10 | + | 2.08068e10i | 0.959379 | + | 0.805015i | ||||
\(207\) | −9.15139e8 | + | 5.19001e9i | −0.0346434 | + | 0.196473i | ||||
\(208\) | 7.30398e9 | 0.270567 | ||||||||
\(209\) | 1.08004e10 | − | 1.32769e9i | 0.391546 | − | 0.0481325i | ||||
\(210\) | 1.54359e10 | 0.547704 | ||||||||
\(211\) | −2.07111e9 | + | 1.17459e10i | −0.0719338 | + | 0.407957i | 0.927485 | + | 0.373861i | \(0.121966\pi\) |
−0.999419 | + | 0.0340958i | \(0.989145\pi\) | |||||||
\(212\) | −1.25701e10 | − | 1.05476e10i | −0.427393 | − | 0.358626i | ||||
\(213\) | 8.18365e10 | + | 2.97861e10i | 2.72420 | + | 0.991528i | ||||
\(214\) | 3.24840e10 | − | 1.18232e10i | 1.05879 | − | 0.385367i | ||||
\(215\) | −4.78938e10 | + | 4.01877e10i | −1.52865 | + | 1.28269i | ||||
\(216\) | −3.83714e9 | − | 6.64612e9i | −0.119940 | − | 0.207743i | ||||
\(217\) | 4.60399e9 | − | 7.97434e9i | 0.140950 | − | 0.244133i | ||||
\(218\) | 3.05443e9 | + | 1.73226e10i | 0.0915960 | + | 0.519467i | ||||
\(219\) | 1.21992e10 | + | 6.91850e10i | 0.358371 | + | 2.03242i | ||||
\(220\) | 4.27339e9 | − | 7.40174e9i | 0.122990 | − | 0.213025i | ||||
\(221\) | −1.01944e10 | − | 1.76572e10i | −0.287472 | − | 0.497917i | ||||
\(222\) | −5.23723e10 | + | 4.39456e10i | −1.44715 | + | 1.21430i | ||||
\(223\) | 3.36547e10 | − | 1.22493e10i | 0.911326 | − | 0.331695i | 0.156544 | − | 0.987671i | \(-0.449965\pi\) |
0.754782 | + | 0.655976i | \(0.227743\pi\) | |||||||
\(224\) | −2.49152e9 | − | 9.06837e8i | −0.0661222 | − | 0.0240665i | ||||
\(225\) | 2.34591e10 | + | 1.96845e10i | 0.610224 | + | 0.512039i | ||||
\(226\) | 4.32656e9 | − | 2.45371e10i | 0.110320 | − | 0.625656i | ||||
\(227\) | −8.59023e9 | −0.214728 | −0.107364 | − | 0.994220i | \(-0.534241\pi\) | ||||
−0.107364 | + | 0.994220i | \(0.534241\pi\) | |||||||
\(228\) | 1.24349e10 | − | 2.93064e10i | 0.304744 | − | 0.718217i | ||||
\(229\) | 6.77769e10 | 1.62863 | 0.814314 | − | 0.580425i | \(-0.197114\pi\) | ||||
0.814314 | + | 0.580425i | \(0.197114\pi\) | |||||||
\(230\) | −9.03598e8 | + | 5.12456e9i | −0.0212912 | + | 0.120748i | ||||
\(231\) | 8.12302e9 | + | 6.81602e9i | 0.187700 | + | 0.157499i | ||||
\(232\) | −1.47969e10 | − | 5.38564e9i | −0.335333 | − | 0.122051i | ||||
\(233\) | −2.38544e10 | + | 8.68229e9i | −0.530233 | + | 0.192989i | −0.593242 | − | 0.805024i | \(-0.702152\pi\) |
0.0630093 | + | 0.998013i | \(0.479930\pi\) | |||||||
\(234\) | −3.85782e10 | + | 3.23709e10i | −0.841144 | + | 0.705803i | ||||
\(235\) | −2.18185e10 | − | 3.77908e10i | −0.466681 | − | 0.808315i | ||||
\(236\) | −1.10818e10 | + | 1.91943e10i | −0.232545 | + | 0.402779i | ||||
\(237\) | 6.24561e8 | + | 3.54206e9i | 0.0128590 | + | 0.0729271i | ||||
\(238\) | 1.28523e9 | + | 7.28889e9i | 0.0259647 | + | 0.147253i | ||||
\(239\) | 2.48409e10 | − | 4.30257e10i | 0.492467 | − | 0.852978i | −0.507496 | − | 0.861654i | \(-0.669429\pi\) |
0.999962 | + | 0.00867684i | \(0.00276196\pi\) | |||||||
\(240\) | −1.25022e10 | − | 2.16544e10i | −0.243240 | − | 0.421303i | ||||
\(241\) | 5.55141e10 | − | 4.65819e10i | 1.06005 | − | 0.889489i | 0.0659371 | − | 0.997824i | \(-0.478996\pi\) |
0.994114 | + | 0.108335i | \(0.0345519\pi\) | |||||||
\(242\) | −2.99347e10 | + | 1.08954e10i | −0.561056 | + | 0.204208i | ||||
\(243\) | −6.46297e10 | − | 2.35233e10i | −1.18906 | − | 0.432783i | ||||
\(244\) | −1.68816e10 | − | 1.41653e10i | −0.304901 | − | 0.255843i | ||||
\(245\) | 1.02776e10 | − | 5.82872e10i | 0.182240 | − | 1.03354i | ||||
\(246\) | −2.55612e10 | −0.445013 | ||||||||
\(247\) | −6.16892e10 | − | 1.42328e10i | −1.05456 | − | 0.243307i | ||||
\(248\) | −1.49158e10 | −0.250388 | ||||||||
\(249\) | 1.88855e10 | − | 1.07105e11i | 0.311338 | − | 1.76568i | ||||
\(250\) | −1.85583e10 | − | 1.55723e10i | −0.300475 | − | 0.252129i | ||||
\(251\) | −9.58810e10 | − | 3.48978e10i | −1.52476 | − | 0.554966i | −0.562427 | − | 0.826847i | \(-0.690132\pi\) |
−0.962331 | + | 0.271881i | \(0.912354\pi\) | |||||||
\(252\) | 1.71788e10 | − | 6.25256e9i | 0.268342 | − | 0.0976686i | ||||
\(253\) | −2.73835e9 | + | 2.29775e9i | −0.0420192 | + | 0.0352583i | ||||
\(254\) | 5.23802e9 | + | 9.07252e9i | 0.0789615 | + | 0.136765i | ||||
\(255\) | −3.48993e10 | + | 6.04474e10i | −0.516876 | + | 0.895255i | ||||
\(256\) | 7.45813e8 | + | 4.22972e9i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 1.35288e10 | + | 7.67256e10i | 0.193446 | + | 1.09709i | 0.914614 | + | 0.404327i | \(0.132494\pi\) |
−0.721168 | + | 0.692760i | \(0.756395\pi\) | |||||||
\(258\) | −6.28259e10 | + | 1.08818e11i | −0.882774 | + | 1.52901i | ||||
\(259\) | −2.46773e10 | − | 4.27423e10i | −0.340760 | − | 0.590213i | ||||
\(260\) | −3.80916e10 | + | 3.19627e10i | −0.516951 | + | 0.433773i | ||||
\(261\) | 1.02023e11 | − | 3.71335e10i | 1.36087 | − | 0.495317i | ||||
\(262\) | 7.32285e9 | + | 2.66530e9i | 0.0960117 | + | 0.0349454i | ||||
\(263\) | 6.22153e10 | + | 5.22048e10i | 0.801856 | + | 0.672837i | 0.948649 | − | 0.316330i | \(-0.102451\pi\) |
−0.146793 | + | 0.989167i | \(0.546895\pi\) | |||||||
\(264\) | 2.98274e9 | − | 1.69160e10i | 0.0377919 | − | 0.214328i | ||||
\(265\) | 1.11712e11 | 1.39154 | ||||||||
\(266\) | 1.92762e10 | + | 1.25142e10i | 0.236077 | + | 0.153262i | ||||
\(267\) | −2.23316e11 | −2.68918 | ||||||||
\(268\) | 5.69095e9 | − | 3.22750e10i | 0.0673873 | − | 0.382172i | ||||
\(269\) | 6.80032e10 | + | 5.70614e10i | 0.791852 | + | 0.664443i | 0.946203 | − | 0.323573i | \(-0.104884\pi\) |
−0.154351 | + | 0.988016i | \(0.549329\pi\) | |||||||
\(270\) | 4.90953e10 | + | 1.78692e10i | 0.562215 | + | 0.204630i | ||||
\(271\) | 9.12330e10 | − | 3.32061e10i | 1.02752 | − | 0.373987i | 0.227384 | − | 0.973805i | \(-0.426983\pi\) |
0.800136 | + | 0.599818i | \(0.204761\pi\) | |||||||
\(272\) | 9.18430e9 | − | 7.70654e9i | 0.101739 | − | 0.0853688i | ||||
\(273\) | −3.08465e10 | − | 5.34277e10i | −0.336104 | − | 0.582150i | ||||
\(274\) | 3.75214e10 | − | 6.49890e10i | 0.402163 | − | 0.696566i | ||||
\(275\) | 3.60699e9 | + | 2.04563e10i | 0.0380319 | + | 0.215690i | ||||
\(276\) | 1.81601e9 | + | 1.02991e10i | 0.0188377 | + | 0.106834i | ||||
\(277\) | −8.69476e9 | + | 1.50598e10i | −0.0887358 | + | 0.153695i | −0.906977 | − | 0.421180i | \(-0.861616\pi\) |
0.818241 | + | 0.574875i | \(0.194949\pi\) | |||||||
\(278\) | −5.71478e10 | − | 9.89828e10i | −0.573849 | − | 0.993936i | ||||
\(279\) | 7.87822e10 | − | 6.61062e10i | 0.778412 | − | 0.653165i | ||||
\(280\) | 1.69621e10 | − | 6.17370e9i | 0.164918 | − | 0.0600253i | ||||
\(281\) | −7.37217e10 | − | 2.68325e10i | −0.705370 | − | 0.256734i | −0.0356680 | − | 0.999364i | \(-0.511356\pi\) |
−0.669702 | + | 0.742630i | \(0.733578\pi\) | |||||||
\(282\) | −6.71819e10 | − | 5.63723e10i | −0.632603 | − | 0.530817i | ||||
\(283\) | 1.97002e10 | − | 1.11726e11i | 0.182571 | − | 1.03541i | −0.746465 | − | 0.665425i | \(-0.768251\pi\) |
0.929036 | − | 0.369988i | \(-0.120638\pi\) | |||||||
\(284\) | 1.01841e11 | 0.928945 | ||||||||
\(285\) | 6.33964e10 | + | 2.07254e11i | 0.569197 | + | 1.86081i | ||||
\(286\) | −3.41591e10 | −0.301897 | ||||||||
\(287\) | 3.20428e9 | − | 1.81724e10i | 0.0278780 | − | 0.158104i | ||||
\(288\) | −2.26852e10 | − | 1.90351e10i | −0.194301 | − | 0.163038i | ||||
\(289\) | 7.99869e10 | + | 2.91129e10i | 0.674495 | + | 0.245496i | ||||
\(290\) | 1.00737e11 | − | 3.66652e10i | 0.836367 | − | 0.304413i | ||||
\(291\) | −2.14720e11 | + | 1.80171e11i | −1.75531 | + | 1.47288i | ||||
\(292\) | 4.10763e10 | + | 7.11463e10i | 0.330650 | + | 0.572703i | ||||
\(293\) | 4.97781e10 | − | 8.62182e10i | 0.394579 | − | 0.683431i | −0.598468 | − | 0.801146i | \(-0.704224\pi\) |
0.993047 | + | 0.117716i | \(0.0375571\pi\) | |||||||
\(294\) | −2.06555e10 | − | 1.17143e11i | −0.161240 | − | 0.914436i | ||||
\(295\) | −2.62016e10 | − | 1.48596e11i | −0.201432 | − | 1.14238i | ||||
\(296\) | −3.99741e10 | + | 6.92372e10i | −0.302668 | + | 0.524236i | ||||
\(297\) | 1.79455e10 | + | 3.10824e10i | 0.133829 | + | 0.231799i | ||||
\(298\) | −3.87361e10 | + | 3.25034e10i | −0.284539 | + | 0.238757i | ||||
\(299\) | 1.95431e10 | − | 7.11312e9i | 0.141408 | − | 0.0514683i | ||||
\(300\) | 5.71049e10 | + | 2.07845e10i | 0.407031 | + | 0.148147i | ||||
\(301\) | −6.94866e10 | − | 5.83062e10i | −0.487924 | − | 0.409417i | ||||
\(302\) | −9.70591e9 | + | 5.50450e10i | −0.0671437 | + | 0.380791i | ||||
\(303\) | 1.54843e11 | 1.05536 | ||||||||
\(304\) | 1.94306e9 | − | 3.71774e10i | 0.0130484 | − | 0.249659i | ||||
\(305\) | 1.50029e11 | 0.992719 | ||||||||
\(306\) | −1.43546e10 | + | 8.14088e10i | −0.0935931 | + | 0.530793i | ||||
\(307\) | 8.15278e10 | + | 6.84100e10i | 0.523821 | + | 0.439538i | 0.865961 | − | 0.500111i | \(-0.166707\pi\) |
−0.342140 | + | 0.939649i | \(0.611152\pi\) | |||||||
\(308\) | 1.16523e10 | + | 4.24108e9i | 0.0737789 | + | 0.0268533i | ||||
\(309\) | −4.16182e11 | + | 1.51478e11i | −2.59699 | + | 0.945227i | ||||
\(310\) | 7.77887e10 | − | 6.52725e10i | 0.478397 | − | 0.401423i | ||||
\(311\) | 3.52938e10 | + | 6.11307e10i | 0.213933 | + | 0.370542i | 0.952942 | − | 0.303153i | \(-0.0980394\pi\) |
−0.739009 | + | 0.673695i | \(0.764706\pi\) | |||||||
\(312\) | −4.99676e10 | + | 8.65464e10i | −0.298533 | + | 0.517075i | ||||
\(313\) | 1.10113e10 | + | 6.24480e10i | 0.0648467 | + | 0.367764i | 0.999912 | + | 0.0132877i | \(0.00422972\pi\) |
−0.935065 | + | 0.354476i | \(0.884659\pi\) | |||||||
\(314\) | −6.09985e9 | − | 3.45939e10i | −0.0354108 | − | 0.200824i | ||||
\(315\) | −6.22289e10 | + | 1.07784e11i | −0.356119 | + | 0.616815i | ||||
\(316\) | 2.10298e9 | + | 3.64247e9i | 0.0118644 | + | 0.0205497i | ||||
\(317\) | −1.69923e11 | + | 1.42582e11i | −0.945115 | + | 0.793046i | −0.978468 | − | 0.206398i | \(-0.933826\pi\) |
0.0333529 | + | 0.999444i | \(0.489381\pi\) | |||||||
\(318\) | 2.10975e11 | − | 7.67884e10i | 1.15693 | − | 0.421089i | ||||
\(319\) | 6.92020e10 | + | 2.51875e10i | 0.374163 | + | 0.136184i | ||||
\(320\) | −2.23991e10 | − | 1.87951e10i | −0.119414 | − | 0.100200i | ||||
\(321\) | −8.21322e10 | + | 4.65795e11i | −0.431758 | + | 2.44862i | ||||
\(322\) | −7.54965e9 | −0.0391359 | ||||||||
\(323\) | −9.25875e10 | + | 4.71924e10i | −0.473305 | + | 0.241246i | ||||
\(324\) | −3.73030e10 | −0.188058 | ||||||||
\(325\) | 2.09854e10 | − | 1.19014e11i | 0.104338 | − | 0.591731i | ||||
\(326\) | 8.99565e10 | + | 7.54824e10i | 0.441116 | + | 0.370141i | ||||
\(327\) | −2.26154e11 | − | 8.23135e10i | −1.09381 | − | 0.398113i | ||||
\(328\) | −2.80884e10 | + | 1.02234e10i | −0.133997 | + | 0.0487710i | ||||
\(329\) | 4.84988e10 | − | 4.06953e10i | 0.228218 | − | 0.191497i | ||||
\(330\) | 5.84698e10 | + | 1.01273e11i | 0.271406 | + | 0.470089i | ||||
\(331\) | 2.06038e11 | − | 3.56867e11i | 0.943453 | − | 1.63411i | 0.184634 | − | 0.982807i | \(-0.440890\pi\) |
0.758819 | − | 0.651302i | \(-0.225777\pi\) | |||||||
\(332\) | −2.20846e10 | − | 1.25248e11i | −0.0997628 | − | 0.565783i | ||||
\(333\) | −9.57210e10 | − | 5.42861e11i | −0.426588 | − | 2.41930i | ||||
\(334\) | −4.96114e10 | + | 8.59295e10i | −0.218133 | + | 0.377818i | ||||
\(335\) | 1.11558e11 | + | 1.93224e11i | 0.483948 | + | 0.838223i | ||||
\(336\) | 2.77901e10 | − | 2.33187e10i | 0.118950 | − | 0.0998108i | ||||
\(337\) | −4.29761e9 | + | 1.56420e9i | −0.0181507 | + | 0.00660630i | −0.351080 | − | 0.936346i | \(-0.614185\pi\) |
0.332929 | + | 0.942952i | \(0.391963\pi\) | |||||||
\(338\) | 2.73122e10 | + | 9.94084e9i | 0.113824 | + | 0.0414284i | ||||
\(339\) | 2.61147e11 | + | 2.19128e11i | 1.07396 | + | 0.901156i | ||||
\(340\) | −1.41735e10 | + | 8.03821e10i | −0.0575206 | + | 0.326215i | ||||
\(341\) | 6.97578e10 | 0.279382 | ||||||||
\(342\) | 1.54506e11 | + | 2.04975e11i | 0.610699 | + | 0.810184i | ||||
\(343\) | 1.87908e11 | 0.733030 | ||||||||
\(344\) | −2.55152e10 | + | 1.44704e11i | −0.0982396 | + | 0.557145i | ||||
\(345\) | −5.45404e10 | − | 4.57648e10i | −0.207268 | − | 0.173918i | ||||
\(346\) | 2.41433e11 | + | 8.78744e10i | 0.905637 | + | 0.329625i | ||||
\(347\) | −1.85232e11 | + | 6.74191e10i | −0.685858 | + | 0.249632i | −0.661361 | − | 0.750068i | \(-0.730021\pi\) |
−0.0244972 | + | 0.999700i | \(0.507798\pi\) | |||||||
\(348\) | 1.65044e11 | − | 1.38488e11i | 0.603243 | − | 0.506181i | ||||
\(349\) | 1.53929e10 | + | 2.66612e10i | 0.0555399 | + | 0.0961980i | 0.892459 | − | 0.451129i | \(-0.148979\pi\) |
−0.836919 | + | 0.547327i | \(0.815645\pi\) | |||||||
\(350\) | −2.19349e10 | + | 3.79924e10i | −0.0781322 | + | 0.135329i | ||||
\(351\) | −3.62600e10 | − | 2.05640e11i | −0.127510 | − | 0.723147i | ||||
\(352\) | −3.48800e9 | − | 1.97815e10i | −0.0121097 | − | 0.0686778i | ||||
\(353\) | 1.63651e11 | − | 2.83452e11i | 0.560960 | − | 0.971612i | −0.436452 | − | 0.899727i | \(-0.643765\pi\) |
0.997413 | − | 0.0718847i | \(-0.0229014\pi\) | |||||||
\(354\) | −1.51625e11 | − | 2.62621e11i | −0.513162 | − | 0.888823i | ||||
\(355\) | −5.31120e11 | + | 4.45662e11i | −1.77486 | + | 1.48929i | ||||
\(356\) | −2.45396e11 | + | 8.93168e10i | −0.809734 | + | 0.294719i | ||||
\(357\) | −9.51600e10 | − | 3.46354e10i | −0.310061 | − | 0.112853i | ||||
\(358\) | −8.09121e10 | − | 6.78933e10i | −0.260340 | − | 0.218451i | ||||
\(359\) | −3.02634e10 | + | 1.71632e11i | −0.0961596 | + | 0.545348i | 0.898226 | + | 0.439533i | \(0.144856\pi\) |
−0.994386 | + | 0.105815i | \(0.966255\pi\) | |||||||
\(360\) | 2.01606e11 | 0.632620 | ||||||||
\(361\) | −8.88562e10 | + | 3.10213e11i | −0.275363 | + | 0.961340i | ||||
\(362\) | −4.24580e11 | −1.29948 | ||||||||
\(363\) | 7.56865e10 | − | 4.29240e11i | 0.228791 | − | 1.29754i | ||||
\(364\) | −5.52651e10 | − | 4.63730e10i | −0.165004 | − | 0.138455i | ||||
\(365\) | −5.25562e11 | − | 1.91289e11i | −1.54991 | − | 0.564120i | ||||
\(366\) | 2.83338e11 | − | 1.03126e11i | 0.825352 | − | 0.300404i | ||||
\(367\) | 4.07630e11 | − | 3.42042e11i | 1.17292 | − | 0.984197i | 0.172921 | − | 0.984936i | \(-0.444679\pi\) |
1.00000 | 0.000738170i | \(0.000234967\pi\) | ||||||||
\(368\) | 6.11475e9 | + | 1.05911e10i | 0.0173806 | + | 0.0301040i | ||||
\(369\) | 1.03048e11 | − | 1.78485e11i | 0.289349 | − | 0.501166i | ||||
\(370\) | −9.45139e10 | − | 5.36015e11i | −0.262173 | − | 1.48686i | ||||
\(371\) | 2.81445e10 | + | 1.59615e11i | 0.0771278 | + | 0.437413i | ||||
\(372\) | 1.02041e11 | − | 1.76740e11i | 0.276269 | − | 0.478512i | ||||
\(373\) | 1.46514e11 | + | 2.53770e11i | 0.391913 | + | 0.678813i | 0.992702 | − | 0.120595i | \(-0.0384801\pi\) |
−0.600789 | + | 0.799408i | \(0.705147\pi\) | |||||||
\(374\) | −4.29529e10 | + | 3.60418e10i | −0.113520 | + | 0.0952542i | ||||
\(375\) | 3.11480e11 | − | 1.13369e11i | 0.813371 | − | 0.296043i | ||||
\(376\) | −9.63707e10 | − | 3.50761e10i | −0.248656 | − | 0.0905035i | ||||
\(377\) | −3.28216e11 | − | 2.75406e11i | −0.836803 | − | 0.702161i | ||||
\(378\) | −1.31627e10 | + | 7.46495e10i | −0.0331614 | + | 0.188068i | ||||
\(379\) | 5.66516e11 | 1.41038 | 0.705189 | − | 0.709019i | \(-0.250862\pi\) | ||||
0.705189 | + | 0.709019i | \(0.250862\pi\) | |||||||
\(380\) | 1.52557e11 | + | 2.02390e11i | 0.375324 | + | 0.497924i | ||||
\(381\) | −1.43336e11 | −0.348493 | ||||||||
\(382\) | 1.47631e10 | − | 8.37257e10i | 0.0354726 | − | 0.201175i | ||||
\(383\) | −2.53308e11 | − | 2.12551e11i | −0.601526 | − | 0.504740i | 0.290410 | − | 0.956902i | \(-0.406208\pi\) |
−0.891936 | + | 0.452162i | \(0.850653\pi\) | |||||||
\(384\) | −5.52210e10 | − | 2.00988e10i | −0.129603 | − | 0.0471715i | ||||
\(385\) | −7.93280e10 | + | 2.88730e10i | −0.184015 | + | 0.0669760i | ||||
\(386\) | 8.50391e10 | − | 7.13563e10i | 0.194974 | − | 0.163602i | ||||
\(387\) | −5.06556e11 | − | 8.77381e11i | −1.14796 | − | 1.98833i | ||||
\(388\) | −1.63889e11 | + | 2.83864e11i | −0.367119 | + | 0.635868i | ||||
\(389\) | 2.07398e10 | + | 1.17621e11i | 0.0459230 | + | 0.260443i | 0.999122 | − | 0.0419021i | \(-0.0133418\pi\) |
−0.953199 | + | 0.302345i | \(0.902231\pi\) | |||||||
\(390\) | −1.18142e11 | − | 6.70017e11i | −0.258591 | − | 1.46654i | ||||
\(391\) | 1.70691e10 | − | 2.95646e10i | 0.0369331 | − | 0.0639700i | ||||
\(392\) | −6.95498e10 | − | 1.20464e11i | −0.148768 | − | 0.257673i | ||||
\(393\) | −8.16783e10 | + | 6.85363e10i | −0.172719 | + | 0.144929i | ||||
\(394\) | −1.24557e11 | + | 4.53350e10i | −0.260396 | + | 0.0947765i | ||||
\(395\) | −2.69072e10 | − | 9.79341e9i | −0.0556136 | − | 0.0202417i | ||||
\(396\) | 1.06094e11 | + | 8.90230e10i | 0.216801 | + | 0.181917i | ||||
\(397\) | −1.34958e11 | + | 7.65386e11i | −0.272673 | + | 1.54641i | 0.473585 | + | 0.880748i | \(0.342960\pi\) |
−0.746258 | + | 0.665657i | \(0.768151\pi\) | |||||||
\(398\) | −5.37057e10 | −0.107287 | ||||||||
\(399\) | −2.80154e11 | + | 1.42796e11i | −0.553375 | + | 0.282058i | ||||
\(400\) | 7.10638e10 | 0.138796 | ||||||||
\(401\) | −1.63529e10 | + | 9.27416e10i | −0.0315823 | + | 0.179112i | −0.996518 | − | 0.0833726i | \(-0.973431\pi\) |
0.964936 | + | 0.262485i | \(0.0845419\pi\) | |||||||
\(402\) | 3.43501e11 | + | 2.88231e11i | 0.656010 | + | 0.550457i | ||||
\(403\) | −3.81374e11 | − | 1.38809e11i | −0.720243 | − | 0.262147i | ||||
\(404\) | 1.70152e11 | − | 6.19304e10i | 0.317777 | − | 0.115661i | ||||
\(405\) | 1.94542e11 | − | 1.63240e11i | 0.359308 | − | 0.301495i | ||||
\(406\) | 7.77667e10 | + | 1.34696e11i | 0.142045 | + | 0.246030i | ||||
\(407\) | 1.86950e11 | − | 3.23807e11i | 0.337716 | − | 0.584941i | ||||
\(408\) | 2.84853e10 | + | 1.61548e11i | 0.0508921 | + | 0.288623i | ||||
\(409\) | 9.91726e10 | + | 5.62436e11i | 0.175241 | + | 0.993844i | 0.937865 | + | 0.347001i | \(0.112800\pi\) |
−0.762623 | + | 0.646843i | \(0.776089\pi\) | |||||||
\(410\) | 1.01749e11 | − | 1.76234e11i | 0.177828 | − | 0.308008i | ||||
\(411\) | 5.13379e11 | + | 8.89199e11i | 0.887463 | + | 1.53713i | ||||
\(412\) | −3.96746e11 | + | 3.32910e11i | −0.678383 | + | 0.569231i | ||||
\(413\) | 2.05714e11 | − | 7.48739e10i | 0.347928 | − | 0.126635i | ||||
\(414\) | −7.92361e10 | − | 2.88396e10i | −0.132563 | − | 0.0482489i | ||||
\(415\) | 6.63269e11 | + | 5.56549e11i | 1.09767 | + | 0.921058i | ||||
\(416\) | −2.02932e10 | + | 1.15088e11i | −0.0332223 | + | 0.188413i | ||||
\(417\) | 1.56382e12 | 2.53265 | ||||||||
\(418\) | −9.08728e9 | + | 1.73870e11i | −0.0145593 | + | 0.278569i | ||||
\(419\) | −9.12168e11 | −1.44581 | −0.722906 | − | 0.690947i | \(-0.757194\pi\) | ||||
−0.722906 | + | 0.690947i | \(0.757194\pi\) | |||||||
\(420\) | −4.28867e10 | + | 2.43223e11i | −0.0672514 | + | 0.381402i | ||||
\(421\) | −2.27261e11 | − | 1.90695e11i | −0.352579 | − | 0.295849i | 0.449246 | − | 0.893408i | \(-0.351693\pi\) |
−0.801825 | + | 0.597560i | \(0.796137\pi\) | |||||||
\(422\) | −1.79324e11 | − | 6.52687e10i | −0.275254 | − | 0.100184i | ||||
\(423\) | 6.64467e11 | − | 2.41846e11i | 1.00912 | − | 0.367288i | ||||
\(424\) | 2.01122e11 | − | 1.68761e11i | 0.302213 | − | 0.253587i | ||||
\(425\) | −9.91860e10 | − | 1.71795e11i | −0.147469 | − | 0.255424i | ||||
\(426\) | −6.96709e11 | + | 1.20674e12i | −1.02496 | + | 1.77529i | ||||
\(427\) | 3.77979e10 | + | 2.14363e11i | 0.0550227 | + | 0.312049i | ||||
\(428\) | 9.60449e10 | + | 5.44698e11i | 0.138349 | + | 0.784619i | ||||
\(429\) | 2.33687e11 | − | 4.04758e11i | 0.333102 | − | 0.576950i | ||||
\(430\) | −5.00168e11 | − | 8.66316e11i | −0.705517 | − | 1.22199i | ||||
\(431\) | 5.60038e11 | − | 4.69928e11i | 0.781753 | − | 0.655969i | −0.161936 | − | 0.986801i | \(-0.551774\pi\) |
0.943690 | + | 0.330832i | \(0.107329\pi\) | |||||||
\(432\) | 1.15383e11 | − | 4.19961e10i | 0.159392 | − | 0.0580139i | ||||
\(433\) | −7.77459e11 | − | 2.82972e11i | −1.06287 | − | 0.386855i | −0.249367 | − | 0.968409i | \(-0.580223\pi\) |
−0.813508 | + | 0.581554i | \(0.802445\pi\) | |||||||
\(434\) | 1.12859e11 | + | 9.47004e10i | 0.152698 | + | 0.128129i | ||||
\(435\) | −2.54701e11 | + | 1.44448e12i | −0.341059 | + | 1.93424i | ||||
\(436\) | −2.81436e11 | −0.372985 | ||||||||
\(437\) | −3.10069e10 | − | 1.01367e11i | −0.0406716 | − | 0.132963i | ||||
\(438\) | −1.12404e12 | −1.45931 | ||||||||
\(439\) | −2.25078e11 | + | 1.27648e12i | −0.289230 | + | 1.64030i | 0.400543 | + | 0.916278i | \(0.368822\pi\) |
−0.689773 | + | 0.724026i | \(0.742289\pi\) | |||||||
\(440\) | 1.04756e11 | + | 8.79003e10i | 0.133242 | + | 0.111803i | ||||
\(441\) | 9.01239e11 | + | 3.28024e11i | 1.13466 | + | 0.412983i | ||||
\(442\) | 3.06547e11 | − | 1.11574e11i | 0.382030 | − | 0.139047i | ||||
\(443\) | −3.68167e11 | + | 3.08928e11i | −0.454180 | + | 0.381102i | −0.840984 | − | 0.541060i | \(-0.818023\pi\) |
0.386805 | + | 0.922162i | \(0.373579\pi\) | |||||||
\(444\) | −5.46938e11 | − | 9.47324e11i | −0.667905 | − | 1.15685i | ||||
\(445\) | 8.88931e11 | − | 1.53967e12i | 1.07460 | − | 1.86127i | ||||
\(446\) | 9.95061e10 | + | 5.64327e11i | 0.119081 | + | 0.675343i | ||||
\(447\) | −1.20141e11 | − | 6.81352e11i | −0.142333 | − | 0.807213i | ||||
\(448\) | 2.12113e10 | − | 3.67391e10i | 0.0248781 | − | 0.0430901i | ||||
\(449\) | −4.17214e11 | − | 7.22636e11i | −0.484452 | − | 0.839095i | 0.515389 | − | 0.856956i | \(-0.327647\pi\) |
−0.999840 | + | 0.0178617i | \(0.994314\pi\) | |||||||
\(450\) | −3.75345e11 | + | 3.14952e11i | −0.431493 | + | 0.362066i | ||||
\(451\) | 1.31363e11 | − | 4.78124e10i | 0.149513 | − | 0.0544184i | ||||
\(452\) | 3.74609e11 | + | 1.36346e11i | 0.422138 | + | 0.153646i | ||||
\(453\) | −5.85840e11 | − | 4.91578e11i | −0.653638 | − | 0.548467i | ||||
\(454\) | 2.38668e10 | − | 1.35356e11i | 0.0263660 | − | 0.149529i | ||||
\(455\) | 4.91149e11 | 0.537232 | ||||||||
\(456\) | 4.27230e11 | + | 2.77360e11i | 0.462722 | + | 0.300401i | ||||
\(457\) | 5.09337e11 | 0.546239 | 0.273119 | − | 0.961980i | \(-0.411945\pi\) | ||||
0.273119 | + | 0.961980i | \(0.411945\pi\) | |||||||
\(458\) | −1.88309e11 | + | 1.06795e12i | −0.199976 | + | 1.13412i | ||||
\(459\) | −2.62569e11 | − | 2.20322e11i | −0.276113 | − | 0.231686i | ||||
\(460\) | −7.82368e10 | − | 2.84759e10i | −0.0814706 | − | 0.0296529i | ||||
\(461\) | 4.56188e11 | − | 1.66039e11i | 0.470425 | − | 0.171221i | −0.0959201 | − | 0.995389i | \(-0.530579\pi\) |
0.566345 | + | 0.824168i | \(0.308357\pi\) | |||||||
\(462\) | −1.29968e11 | + | 1.09056e11i | −0.132724 | + | 0.111368i | ||||
\(463\) | −8.28534e10 | − | 1.43506e11i | −0.0837907 | − | 0.145130i | 0.821085 | − | 0.570807i | \(-0.193369\pi\) |
−0.904875 | + | 0.425677i | \(0.860036\pi\) | |||||||
\(464\) | 1.25973e11 | − | 2.18191e11i | 0.126167 | − | 0.218527i | ||||
\(465\) | 2.41263e11 | + | 1.36827e12i | 0.239306 | + | 1.35717i | ||||
\(466\) | −7.05298e10 | − | 3.99995e11i | −0.0692845 | − | 0.392932i | ||||
\(467\) | 6.12309e11 | − | 1.06055e12i | 0.595723 | − | 1.03182i | −0.397721 | − | 0.917506i | \(-0.630199\pi\) |
0.993444 | − | 0.114317i | \(-0.0364678\pi\) | |||||||
\(468\) | −4.02882e11 | − | 6.97812e11i | −0.388214 | − | 0.672406i | ||||
\(469\) | −2.47974e11 | + | 2.08075e11i | −0.236662 | + | 0.198583i | ||||
\(470\) | 6.56087e11 | − | 2.38796e11i | 0.620184 | − | 0.225729i | ||||
\(471\) | 4.51641e11 | + | 1.64384e11i | 0.422863 | + | 0.153909i | ||||
\(472\) | −2.71653e11 | − | 2.27944e11i | −0.251928 | − | 0.211392i | ||||
\(473\) | 1.19329e11 | − | 6.76749e11i | 0.109615 | − | 0.621660i | ||||
\(474\) | −5.75473e10 | −0.0523627 | ||||||||
\(475\) | −6.00203e11 | − | 1.38477e11i | −0.540974 | − | 0.124812i | ||||
\(476\) | −1.18421e11 | −0.105730 | ||||||||
\(477\) | −3.14343e11 | + | 1.78273e12i | −0.278017 | + | 1.57671i | ||||
\(478\) | 6.08936e11 | + | 5.10958e11i | 0.533514 | + | 0.447672i | ||||
\(479\) | 1.73991e12 | + | 6.33275e11i | 1.51014 | + | 0.549645i | 0.958662 | − | 0.284546i | \(-0.0918427\pi\) |
0.551476 | + | 0.834191i | \(0.314065\pi\) | |||||||
\(480\) | 3.75942e11 | − | 1.36832e11i | 0.323248 | − | 0.117652i | ||||
\(481\) | −1.66641e12 | + | 1.39829e12i | −1.41948 | + | 1.19109i | ||||
\(482\) | 5.79749e11 | + | 1.00415e12i | 0.489247 | + | 0.847400i | ||||
\(483\) | 5.16483e10 | − | 8.94574e10i | 0.0431811 | − | 0.0747918i | ||||
\(484\) | −8.85074e10 | − | 5.01951e11i | −0.0733121 | − | 0.415774i | ||||
\(485\) | −3.87495e11 | − | 2.19759e12i | −0.318001 | − | 1.80347i | ||||
\(486\) | 5.50220e11 | − | 9.53010e11i | 0.447377 | − | 0.774879i | ||||
\(487\) | 2.39134e11 | + | 4.14192e11i | 0.192647 | + | 0.333674i | 0.946126 | − | 0.323797i | \(-0.104960\pi\) |
−0.753480 | + | 0.657471i | \(0.771626\pi\) | |||||||
\(488\) | 2.70106e11 | − | 2.26645e11i | 0.215598 | − | 0.180908i | ||||
\(489\) | −1.50981e12 | + | 5.49527e11i | −1.19408 | + | 0.434609i | ||||
\(490\) | 8.89873e11 | + | 3.23887e11i | 0.697341 | + | 0.253812i | ||||
\(491\) | 1.07119e12 | + | 8.98836e11i | 0.831764 | + | 0.697933i | 0.955695 | − | 0.294358i | \(-0.0951058\pi\) |
−0.123931 | + | 0.992291i | \(0.539550\pi\) | |||||||
\(492\) | 7.10184e10 | − | 4.02766e11i | 0.0546422 | − | 0.309891i | ||||
\(493\) | −7.03296e11 | −0.536200 | ||||||||
\(494\) | 3.95660e11 | − | 9.32488e11i | 0.298917 | − | 0.704485i | ||||
\(495\) | −9.42868e11 | −0.705875 | ||||||||
\(496\) | 4.14416e10 | − | 2.35027e11i | 0.0307446 | − | 0.174361i | ||||
\(497\) | −7.70574e11 | − | 6.46588e11i | −0.566514 | − | 0.475361i | ||||
\(498\) | 1.63518e12 | + | 5.95155e11i | 1.19133 | + | 0.433609i | ||||
\(499\) | −9.79279e10 | + | 3.56428e10i | −0.0707056 | + | 0.0257347i | −0.377131 | − | 0.926160i | \(-0.623089\pi\) |
0.306425 | + | 0.951895i | \(0.400867\pi\) | |||||||
\(500\) | 2.96933e11 | − | 2.49157e11i | 0.212468 | − | 0.178282i | ||||
\(501\) | −6.78798e11 | − | 1.17571e12i | −0.481361 | − | 0.833741i | ||||
\(502\) | 8.16275e11 | − | 1.41383e12i | 0.573680 | − | 0.993644i | ||||
\(503\) | 1.89349e11 | + | 1.07385e12i | 0.131888 | + | 0.747975i | 0.976976 | + | 0.213348i | \(0.0684368\pi\) |
−0.845088 | + | 0.534627i | \(0.820452\pi\) | |||||||
\(504\) | 5.07921e10 | + | 2.88056e11i | 0.0350638 | + | 0.198857i | ||||
\(505\) | −6.16365e11 | + | 1.06758e12i | −0.421723 | + | 0.730445i | ||||
\(506\) | −2.85973e10 | − | 4.95321e10i | −0.0193932 | − | 0.0335899i | ||||
\(507\) | −3.04638e11 | + | 2.55622e11i | −0.204762 | + | 0.171815i | ||||
\(508\) | −1.57508e11 | + | 5.73283e10i | −0.104934 | + | 0.0381929i | ||||
\(509\) | −2.10461e12 | − | 7.66014e11i | −1.38976 | − | 0.505832i | −0.464640 | − | 0.885500i | \(-0.653816\pi\) |
−0.925123 | + | 0.379668i | \(0.876038\pi\) | |||||||
\(510\) | −8.55502e11 | − | 7.17851e11i | −0.559958 | − | 0.469860i | ||||
\(511\) | 1.40906e11 | − | 7.99118e11i | 0.0914188 | − | 0.518462i | ||||
\(512\) | −6.87195e10 | −0.0441942 | ||||||||
\(513\) | −1.05636e12 | + | 1.29858e11i | −0.673417 | + | 0.0827827i | ||||
\(514\) | −1.24655e12 | −0.787725 | ||||||||
\(515\) | 6.12273e11 | − | 3.47237e12i | 0.383542 | − | 2.17517i | ||||
\(516\) | −1.54008e12 | − | 1.29228e12i | −0.956354 | − | 0.802476i | ||||
\(517\) | 4.50704e11 | + | 1.64043e11i | 0.277450 | + | 0.100983i | ||||
\(518\) | 7.42049e11 | − | 2.70084e11i | 0.452844 | − | 0.164822i | ||||
\(519\) | −2.69292e12 | + | 2.25963e12i | −1.62919 | + | 1.36705i | ||||
\(520\) | −3.97801e11 | − | 6.89011e11i | −0.238589 | − | 0.413248i | ||||
\(521\) | 2.76725e10 | − | 4.79302e10i | 0.0164543 | − | 0.0284997i | −0.857681 | − | 0.514182i | \(-0.828096\pi\) |
0.874135 | + | 0.485682i | \(0.161429\pi\) | |||||||
\(522\) | 3.01651e11 | + | 1.71075e12i | 0.177823 | + | 1.00848i | ||||
\(523\) | −1.87644e11 | − | 1.06418e12i | −0.109667 | − | 0.621953i | −0.989253 | − | 0.146213i | \(-0.953291\pi\) |
0.879586 | − | 0.475740i | \(-0.157820\pi\) | |||||||
\(524\) | −6.23425e10 | + | 1.07980e11i | −0.0361238 | + | 0.0625682i | ||||
\(525\) | −3.00120e11 | − | 5.19823e11i | −0.172416 | − | 0.298634i | ||||
\(526\) | −9.95444e11 | + | 8.35277e11i | −0.566998 | + | 0.475767i | ||||
\(527\) | −6.26014e11 | + | 2.27850e11i | −0.353538 | + | 0.128677i | ||||
\(528\) | 2.58257e11 | + | 9.39977e10i | 0.144610 | + | 0.0526338i | ||||
\(529\) | −1.35309e12 | − | 1.13538e12i | −0.751234 | − | 0.630360i | ||||
\(530\) | −3.10379e11 | + | 1.76024e12i | −0.170864 | + | 0.969017i | ||||
\(531\) | 2.44506e12 | 1.33464 | ||||||||
\(532\) | −2.50741e11 | + | 2.68964e11i | −0.135714 | + | 0.145577i | ||||
\(533\) | −8.13320e11 | −0.436505 | ||||||||
\(534\) | 6.20456e11 | − | 3.51878e12i | 0.330199 | − | 1.87265i | ||||
\(535\) | −2.88453e12 | − | 2.42040e12i | −1.52224 | − | 1.27731i | ||||
\(536\) | 4.92743e11 | + | 1.79344e11i | 0.257857 | + | 0.0938522i | ||||
\(537\) | 1.35801e12 | − | 4.94277e11i | 0.704726 | − | 0.256499i | ||||
\(538\) | −1.08805e12 | + | 9.12983e11i | −0.559924 | + | 0.469832i | ||||
\(539\) | 3.25269e11 | + | 5.63382e11i | 0.165994 | + | 0.287511i | ||||
\(540\) | −4.17969e11 | + | 7.23943e11i | −0.211530 | + | 0.366381i | ||||
\(541\) | 4.61975e11 | + | 2.61999e12i | 0.231862 | + | 1.31496i | 0.849122 | + | 0.528197i | \(0.177132\pi\) |
−0.617259 | + | 0.786760i | \(0.711757\pi\) | |||||||
\(542\) | 2.69747e11 | + | 1.52981e12i | 0.134264 | + | 0.761449i | ||||
\(543\) | 2.90461e12 | − | 5.03093e12i | 1.43380 | − | 2.48342i | ||||
\(544\) | 9.59140e10 | + | 1.66128e11i | 0.0469555 | + | 0.0813294i | ||||
\(545\) | 1.46774e12 | − | 1.23158e12i | 0.712634 | − | 0.597971i | ||||
\(546\) | 9.27560e11 | − | 3.37604e11i | 0.446658 | − | 0.162570i | ||||
\(547\) | 2.60695e12 | + | 9.48852e11i | 1.24506 | + | 0.453164i | 0.878729 | − | 0.477321i | \(-0.158392\pi\) |
0.366329 | + | 0.930485i | \(0.380614\pi\) | |||||||
\(548\) | 9.19779e11 | + | 7.71786e11i | 0.435683 | + | 0.365582i | ||||
\(549\) | −4.22161e11 | + | 2.39419e12i | −0.198336 | + | 1.12482i | ||||
\(550\) | −3.32350e11 | −0.154869 | ||||||||
\(551\) | −1.48913e12 | + | 1.59736e12i | −0.688259 | + | 0.738279i | ||||
\(552\) | −1.67328e11 | −0.0767082 | ||||||||
\(553\) | 7.21396e9 | − | 4.09124e10i | 0.00328028 | − | 0.0186034i | ||||
\(554\) | −2.13138e11 | − | 1.78844e11i | −0.0961319 | − | 0.0806643i | ||||
\(555\) | 6.99794e12 | + | 2.54704e12i | 3.13077 | + | 1.13951i | ||||
\(556\) | 1.71844e12 | − | 6.25462e11i | 0.762603 | − | 0.277565i | ||||
\(557\) | −1.07155e12 | + | 8.99133e11i | −0.471696 | + | 0.395800i | −0.847413 | − | 0.530935i | \(-0.821841\pi\) |
0.375717 | + | 0.926735i | \(0.377397\pi\) | |||||||
\(558\) | 8.22743e11 | + | 1.42503e12i | 0.359261 | + | 0.622259i | ||||
\(559\) | −1.99903e12 | + | 3.46242e12i | −0.865896 | + | 1.49978i | ||||
\(560\) | 5.01515e10 | + | 2.84423e11i | 0.0215495 | + | 0.122214i | ||||
\(561\) | −1.33220e11 | − | 7.55526e11i | −0.0567852 | − | 0.322045i | ||||
\(562\) | 6.27624e11 | − | 1.08708e12i | 0.265391 | − | 0.459671i | ||||
\(563\) | −1.18622e12 | − | 2.05459e12i | −0.497595 | − | 0.861860i | 0.502401 | − | 0.864635i | \(-0.332450\pi\) |
−0.999996 | + | 0.00277486i | \(0.999117\pi\) | |||||||
\(564\) | 1.07491e12 | − | 9.01956e11i | 0.447318 | − | 0.375344i | ||||
\(565\) | −2.55032e12 | + | 9.28239e11i | −1.05287 | + | 0.383215i | ||||
\(566\) | 1.70572e12 | + | 6.20830e11i | 0.698607 | + | 0.254272i | ||||
\(567\) | 2.82251e11 | + | 2.36837e11i | 0.114686 | + | 0.0962333i | ||||
\(568\) | −2.82952e11 | + | 1.60470e12i | −0.114063 | + | 0.646884i | ||||
\(569\) | 1.44570e12 | 0.578193 | 0.289096 | − | 0.957300i | \(-0.406645\pi\) | ||||
0.289096 | + | 0.957300i | \(0.406645\pi\) | |||||||
\(570\) | −3.44183e12 | + | 4.23102e11i | −1.36569 | + | 0.167884i | ||||
\(571\) | 3.34860e12 | 1.31826 | 0.659130 | − | 0.752029i | \(-0.270924\pi\) | ||||
0.659130 | + | 0.752029i | \(0.270924\pi\) | |||||||
\(572\) | 9.49066e10 | − | 5.38242e11i | 0.0370693 | − | 0.210230i | ||||
\(573\) | 8.91088e11 | + | 7.47711e11i | 0.345322 | + | 0.289760i | ||||
\(574\) | 2.77438e11 | + | 1.00979e11i | 0.106675 | + | 0.0388265i | ||||
\(575\) | 1.90144e11 | − | 6.92069e10i | 0.0725401 | − | 0.0264024i | ||||
\(576\) | 3.62963e11 | − | 3.04562e11i | 0.137392 | − | 0.115285i | ||||
\(577\) | −6.94510e11 | − | 1.20293e12i | −0.260848 | − | 0.451802i | 0.705620 | − | 0.708591i | \(-0.250669\pi\) |
−0.966468 | + | 0.256789i | \(0.917335\pi\) | |||||||
\(578\) | −6.80963e11 | + | 1.17946e12i | −0.253774 | + | 0.439550i | ||||
\(579\) | 2.63751e11 | + | 1.49581e12i | 0.0975305 | + | 0.553123i | ||||
\(580\) | 2.97846e11 | + | 1.68917e12i | 0.109286 | + | 0.619794i | ||||
\(581\) | −6.28098e11 | + | 1.08790e12i | −0.228684 | + | 0.396092i | ||||
\(582\) | −2.24238e12 | − | 3.88391e12i | −0.810130 | − | 1.40319i | ||||
\(583\) | −9.40602e11 | + | 7.89259e11i | −0.337208 | + | 0.282951i | ||||
\(584\) | −1.23517e12 | + | 4.49566e11i | −0.439410 | + | 0.159932i | ||||
\(585\) | 5.15477e12 | + | 1.87618e12i | 1.81973 | + | 0.662329i | ||||
\(586\) | 1.22023e12 | + | 1.02390e12i | 0.427467 | + | 0.358688i | ||||
\(587\) | 3.14919e11 | − | 1.78599e12i | 0.109478 | − | 0.620881i | −0.879859 | − | 0.475235i | \(-0.842363\pi\) |
0.989337 | − | 0.145646i | \(-0.0465259\pi\) | |||||||
\(588\) | 1.90320e12 | 0.656579 | ||||||||
\(589\) | −8.07996e11 | + | 1.90428e12i | −0.276624 | + | 0.651945i | ||||
\(590\) | 2.41422e12 | 0.820243 | ||||||||
\(591\) | 3.14928e11 | − | 1.78604e12i | 0.106186 | − | 0.602211i | ||||
\(592\) | −9.79903e11 | − | 8.22236e11i | −0.327895 | − | 0.275137i | ||||
\(593\) | −7.91112e11 | − | 2.87941e11i | −0.262719 | − | 0.0956220i | 0.207302 | − | 0.978277i | \(-0.433532\pi\) |
−0.470022 | + | 0.882655i | \(0.655754\pi\) | |||||||
\(594\) | −5.39623e11 | + | 1.96407e11i | −0.177849 | + | 0.0647317i | ||||
\(595\) | 6.17590e11 | − | 5.18219e11i | 0.202010 | − | 0.169507i | ||||
\(596\) | −4.04531e11 | − | 7.00668e11i | −0.131324 | − | 0.227459i | ||||
\(597\) | 3.67409e11 | − | 6.36371e11i | 0.118376 | − | 0.205034i | ||||
\(598\) | 5.77828e10 | + | 3.27703e11i | 0.0184775 | + | 0.104791i | ||||
\(599\) | 9.28791e10 | + | 5.26744e11i | 0.0294780 | + | 0.167178i | 0.995993 | − | 0.0894326i | \(-0.0285054\pi\) |
−0.966515 | + | 0.256610i | \(0.917394\pi\) | |||||||
\(600\) | −4.86158e11 | + | 8.42050e11i | −0.153143 | + | 0.265251i | ||||
\(601\) | −2.87234e12 | − | 4.97503e12i | −0.898049 | − | 1.55547i | −0.829985 | − | 0.557786i | \(-0.811651\pi\) |
−0.0680641 | − | 0.997681i | \(-0.521682\pi\) | |||||||
\(602\) | 1.11179e12 | − | 9.32900e11i | 0.345014 | − | 0.289501i | ||||
\(603\) | −3.39741e12 | + | 1.23656e12i | −1.04645 | + | 0.380878i | ||||
\(604\) | −8.40373e11 | − | 3.05871e11i | −0.256925 | − | 0.0935129i | ||||
\(605\) | 2.65815e12 | + | 2.23045e12i | 0.806641 | + | 0.676852i | ||||
\(606\) | −4.30211e11 | + | 2.43985e12i | −0.129585 | + | 0.734913i | ||||
\(607\) | −6.30548e12 | −1.88525 | −0.942625 | − | 0.333855i | \(-0.891650\pi\) | ||||
−0.942625 | + | 0.333855i | \(0.891650\pi\) | |||||||
\(608\) | 5.80403e11 | + | 1.33909e11i | 0.172252 | + | 0.0397415i | ||||
\(609\) | −2.12805e12 | −0.626910 | ||||||||
\(610\) | −4.16837e11 | + | 2.36400e12i | −0.121894 | + | 0.691294i | ||||
\(611\) | −2.13763e12 | − | 1.79368e12i | −0.620508 | − | 0.520668i | ||||
\(612\) | −1.24287e12 | − | 4.52368e11i | −0.358133 | − | 0.130350i | ||||
\(613\) | −1.34562e12 | + | 4.89767e11i | −0.384903 | + | 0.140093i | −0.527222 | − | 0.849728i | \(-0.676766\pi\) |
0.142319 | + | 0.989821i | \(0.454544\pi\) | |||||||
\(614\) | −1.30445e12 | + | 1.09456e12i | −0.370398 | + | 0.310800i | ||||
\(615\) | 1.39215e12 | + | 2.41128e12i | 0.392418 | + | 0.679688i | ||||
\(616\) | −9.92007e10 | + | 1.71821e11i | −0.0277588 | + | 0.0480797i | ||||
\(617\) | 6.20079e11 | + | 3.51665e12i | 0.172252 | + | 0.976889i | 0.941268 | + | 0.337660i | \(0.109635\pi\) |
−0.769016 | + | 0.639229i | \(0.779253\pi\) | |||||||
\(618\) | −1.23052e12 | − | 6.97861e12i | −0.339344 | − | 1.92451i | ||||
\(619\) | −9.91904e10 | + | 1.71803e11i | −0.0271558 | + | 0.0470351i | −0.879284 | − | 0.476298i | \(-0.841978\pi\) |
0.852128 | + | 0.523333i | \(0.175312\pi\) | |||||||
\(620\) | 8.12367e11 | + | 1.40706e12i | 0.220795 | + | 0.382429i | ||||
\(621\) | 2.67831e11 | − | 2.24737e11i | 0.0722684 | − | 0.0606404i | ||||
\(622\) | −1.06129e12 | + | 3.86278e11i | −0.284300 | + | 0.103477i | ||||
\(623\) | 2.42385e12 | + | 8.82208e11i | 0.644628 | + | 0.234625i | ||||
\(624\) | −1.22488e12 | − | 1.02779e12i | −0.323416 | − | 0.271378i | ||||
\(625\) | −8.26002e11 | + | 4.68449e12i | −0.216531 | + | 1.22801i | ||||
\(626\) | −1.01458e12 | −0.264060 | ||||||||
\(627\) | −1.99806e12 | − | 1.29715e12i | −0.516303 | − | 0.335186i | ||||
\(628\) | 5.62042e11 | 0.144195 | ||||||||
\(629\) | −6.20057e11 | + | 3.51652e12i | −0.157944 | + | 0.895746i | ||||
\(630\) | −1.52544e12 | − | 1.28000e12i | −0.385801 | − | 0.323726i | ||||
\(631\) | 5.27651e12 | + | 1.92049e12i | 1.32500 | + | 0.482259i | 0.905056 | − | 0.425292i | \(-0.139829\pi\) |
0.419940 | + | 0.907552i | \(0.362051\pi\) | |||||||
\(632\) | −6.32371e10 | + | 2.30164e10i | −0.0157668 | + | 0.00573866i | ||||
\(633\) | 2.00017e12 | − | 1.67834e12i | 0.495165 | − | 0.415493i | ||||
\(634\) | −1.77455e12 | − | 3.07361e12i | −0.436200 | − | 0.755521i | ||||
\(635\) | 5.70563e11 | − | 9.88244e11i | 0.139259 | − | 0.241203i | ||||
\(636\) | 6.23784e11 | + | 3.53766e12i | 0.151174 | + | 0.857351i | ||||
\(637\) | −6.57227e11 | − | 3.72732e12i | −0.158157 | − | 0.896952i | ||||
\(638\) | −5.89146e11 | + | 1.02043e12i | −0.140776 | + | 0.243832i | ||||
\(639\) | −5.61747e12 | − | 9.72974e12i | −1.33287 | − | 2.30859i | ||||
\(640\) | 3.58385e11 | − | 3.00721e11i | 0.0844384 | − | 0.0708523i | ||||
\(641\) | 5.78084e12 | − | 2.10405e12i | 1.35248 | − | 0.492261i | 0.438757 | − | 0.898606i | \(-0.355419\pi\) |
0.913720 | + | 0.406345i | \(0.133197\pi\) | |||||||
\(642\) | −7.11130e12 | − | 2.58830e12i | −1.65212 | − | 0.601322i | ||||
\(643\) | 1.81628e12 | + | 1.52404e12i | 0.419018 | + | 0.351598i | 0.827789 | − | 0.561039i | \(-0.189598\pi\) |
−0.408772 | + | 0.912637i | \(0.634043\pi\) | |||||||
\(644\) | 2.09757e10 | − | 1.18959e11i | 0.00480541 | − | 0.0272528i | ||||
\(645\) | 1.36869e13 | 3.11377 | ||||||||
\(646\) | −4.86364e11 | − | 1.59001e12i | −0.109879 | − | 0.359215i | ||||
\(647\) | −4.15795e12 | −0.932845 | −0.466423 | − | 0.884562i | \(-0.654457\pi\) | ||||
−0.466423 | + | 0.884562i | \(0.654457\pi\) | |||||||
\(648\) | 1.03642e11 | − | 5.87780e11i | 0.0230912 | − | 0.130957i | ||||
\(649\) | 1.27046e12 | + | 1.06604e12i | 0.281100 | + | 0.235871i | ||||
\(650\) | 1.81699e12 | + | 6.61332e11i | 0.399249 | + | 0.145315i | ||||
\(651\) | −1.89421e12 | + | 6.89437e11i | −0.413347 | + | 0.150446i | ||||
\(652\) | −1.43930e12 | + | 1.20772e12i | −0.311916 | + | 0.261729i | ||||
\(653\) | −1.87850e12 | − | 3.25365e12i | −0.404298 | − | 0.700264i | 0.589942 | − | 0.807446i | \(-0.299151\pi\) |
−0.994239 | + | 0.107182i | \(0.965817\pi\) | |||||||
\(654\) | 1.92535e12 | − | 3.33480e12i | 0.411538 | − | 0.712804i | ||||
\(655\) | −1.47401e11 | − | 8.35953e11i | −0.0312907 | − | 0.177458i | ||||
\(656\) | −8.30486e10 | − | 4.70992e11i | −0.0175091 | − | 0.0992993i | ||||
\(657\) | 4.53148e12 | − | 7.84875e12i | 0.948846 | − | 1.64345i | ||||
\(658\) | 5.06486e11 | + | 8.77259e11i | 0.105330 | + | 0.182436i | ||||
\(659\) | 2.05295e12 | − | 1.72263e12i | 0.424028 | − | 0.355801i | −0.405665 | − | 0.914022i | \(-0.632960\pi\) |
0.829693 | + | 0.558220i | \(0.188516\pi\) | |||||||
\(660\) | −1.75820e12 | + | 6.39932e11i | −0.360678 | + | 0.131276i | ||||
\(661\) | 7.16475e12 | + | 2.60776e12i | 1.45980 | + | 0.531325i | 0.945311 | − | 0.326169i | \(-0.105758\pi\) |
0.514493 | + | 0.857495i | \(0.327980\pi\) | |||||||
\(662\) | 5.05069e12 | + | 4.23803e12i | 1.02209 | + | 0.857636i | ||||
\(663\) | −7.75069e11 | + | 4.39564e12i | −0.155786 | + | 0.883509i | ||||
\(664\) | 2.03488e12 | 0.406241 | ||||||||
\(665\) | 1.30660e11 | − | 2.49996e12i | 0.0259086 | − | 0.495719i | ||||
\(666\) | 8.81977e12 | 1.73709 | ||||||||
\(667\) | 1.24573e11 | − | 7.06491e11i | 0.0243702 | − | 0.138210i | ||||
\(668\) | −1.21614e12 | − | 1.02047e12i | −0.236315 | − | 0.198292i | ||||
\(669\) | −7.36757e12 | − | 2.68158e12i | −1.42202 | − | 0.517574i | ||||
\(670\) | −3.35457e12 | + | 1.22096e12i | −0.643132 | + | 0.234081i | ||||
\(671\) | −1.26322e12 | + | 1.05997e12i | −0.240563 | + | 0.201856i | ||||
\(672\) | 2.90220e11 | + | 5.02675e11i | 0.0548991 | + | 0.0950880i | ||||
\(673\) | −9.33744e11 | + | 1.61729e12i | −0.175453 | + | 0.303893i | −0.940318 | − | 0.340297i | \(-0.889472\pi\) |
0.764865 | + | 0.644190i | \(0.222806\pi\) | |||||||
\(674\) | −1.27067e10 | − | 7.20631e10i | −0.00237171 | − | 0.0134506i | ||||
\(675\) | −3.52790e11 | − | 2.00077e12i | −0.0654108 | − | 0.370963i | ||||
\(676\) | −2.32521e11 | + | 4.02737e11i | −0.0428254 | + | 0.0741757i | ||||
\(677\) | −4.27021e12 | − | 7.39623e12i | −0.781269 | − | 1.35320i | −0.931203 | − | 0.364502i | \(-0.881239\pi\) |
0.149933 | − | 0.988696i | \(-0.452094\pi\) | |||||||
\(678\) | −4.17835e12 | + | 3.50605e12i | −0.759401 | + | 0.637213i | ||||
\(679\) | 3.04231e12 | − | 1.10731e12i | 0.549274 | − | 0.199919i | ||||
\(680\) | −1.22720e12 | − | 4.46663e11i | −0.220102 | − | 0.0801105i | ||||
\(681\) | 1.44058e12 | + | 1.20879e12i | 0.256670 | + | 0.215372i | ||||
\(682\) | −1.93813e11 | + | 1.09917e12i | −0.0343047 | + | 0.194552i | ||||
\(683\) | 1.51733e12 | 0.266800 | 0.133400 | − | 0.991062i | \(-0.457410\pi\) | ||||
0.133400 | + | 0.991062i | \(0.457410\pi\) | |||||||
\(684\) | −3.65905e12 | + | 1.86504e12i | −0.639170 | + | 0.325788i | ||||
\(685\) | −8.17420e12 | −1.41853 | ||||||||
\(686\) | −5.22078e11 | + | 2.96085e12i | −0.0900072 | + | 0.510456i | ||||
\(687\) | −1.13662e13 | − | 9.53735e12i | −1.94674 | − | 1.63351i | ||||
\(688\) | −2.20920e12 | − | 8.04084e11i | −0.375913 | − | 0.136821i | ||||
\(689\) | 6.71291e12 | − | 2.44330e12i | 1.13481 | − | 0.413038i | ||||
\(690\) | 8.72646e11 | − | 7.32237e11i | 0.146561 | − | 0.122979i | ||||
\(691\) | −1.30035e12 | − | 2.25227e12i | −0.216975 | − | 0.375811i | 0.736907 | − | 0.675994i | \(-0.236286\pi\) |
−0.953882 | + | 0.300183i | \(0.902952\pi\) | |||||||
\(692\) | −2.05542e12 | + | 3.56009e12i | −0.340740 | + | 0.590179i | ||||
\(693\) | −2.37543e11 | − | 1.34718e12i | −0.0391240 | − | 0.221883i | ||||
\(694\) | −5.47673e11 | − | 3.10601e12i | −0.0896197 | − | 0.508259i | ||||
\(695\) | −6.22494e12 | + | 1.07819e13i | −1.01205 | + | 1.75293i | ||||
\(696\) | 1.72359e12 | + | 2.98535e12i | 0.278415 | + | 0.482230i | ||||
\(697\) | −1.02270e12 | + | 8.58147e11i | −0.164135 | + | 0.137725i | ||||
\(698\) | −4.62866e11 | + | 1.68470e11i | −0.0738084 | + | 0.0268641i | ||||
\(699\) | 5.22213e12 | + | 1.90070e12i | 0.827371 | + | 0.301138i | ||||
\(700\) | −5.37700e11 | − | 4.51184e11i | −0.0846446 | − | 0.0710252i | ||||
\(701\) | 8.05658e11 | − | 4.56912e12i | 0.126014 | − | 0.714663i | −0.854686 | − | 0.519145i | \(-0.826250\pi\) |
0.980700 | − | 0.195517i | \(-0.0626386\pi\) | |||||||
\(702\) | 3.34100e12 | 0.519230 | ||||||||
\(703\) | 6.67399e12 | + | 8.85406e12i | 1.03059 | + | 1.36724i | ||||
\(704\) | 3.21386e11 | 0.0493117 | ||||||||
\(705\) | −1.65884e12 | + | 9.40775e12i | −0.252903 | + | 1.43428i | ||||
\(706\) | 4.01164e12 | + | 3.36617e12i | 0.607717 | + | 0.509935i | ||||
\(707\) | −1.68064e12 | − | 6.11704e11i | −0.252981 | − | 0.0920777i | ||||
\(708\) | 4.55938e12 | − | 1.65948e12i | 0.681955 | − | 0.248211i | ||||
\(709\) | 8.13798e12 | − | 6.82858e12i | 1.20951 | − | 1.01490i | 0.210202 | − | 0.977658i | \(-0.432588\pi\) |
0.999306 | − | 0.0372396i | \(-0.0118565\pi\) | |||||||
\(710\) | −5.54662e12 | − | 9.60703e12i | −0.819155 | − | 1.41882i | ||||
\(711\) | 2.31998e11 | − | 4.01832e11i | 0.0340464 | − | 0.0589700i | ||||
\(712\) | −7.25558e11 | − | 4.11484e12i | −0.105806 | − | 0.600058i | ||||
\(713\) | −1.18001e11 | − | 6.69217e11i | −0.0170995 | − | 0.0969759i | ||||
\(714\) | 8.10137e11 | − | 1.40320e12i | 0.116659 | − | 0.202059i | ||||
\(715\) | 1.86043e12 | + | 3.22235e12i | 0.266217 | + | 0.461101i | ||||
\(716\) | 1.29459e12 | − | 1.08629e12i | 0.184088 | − | 0.154468i | ||||
\(717\) | −1.02203e13 | + | 3.71987e12i | −1.44420 | + | 0.525644i | ||||
\(718\) | −2.62031e12 | − | 9.53716e11i | −0.367954 | − | 0.133924i | ||||
\(719\) | −1.61646e12 | − | 1.35637e12i | −0.225571 | − | 0.189277i | 0.522997 | − | 0.852335i | \(-0.324814\pi\) |
−0.748568 | + | 0.663058i | \(0.769258\pi\) | |||||||
\(720\) | −5.60137e11 | + | 3.17670e12i | −0.0776780 | + | 0.440534i | ||||
\(721\) | 5.11560e12 | 0.704998 | ||||||||
\(722\) | −4.64112e12 | − | 2.26199e12i | −0.635632 | − | 0.309794i | ||||
\(723\) | −1.58646e13 | −2.15927 | ||||||||
\(724\) | 1.17964e12 | − | 6.69007e12i | 0.159561 | − | 0.904913i | ||||
\(725\) | −3.19336e12 | − | 2.67955e12i | −0.429267 | − | 0.360198i | ||||
\(726\) | 6.55321e12 | + | 2.38517e12i | 0.875466 | + | 0.318644i | ||||
\(727\) | −9.45797e10 | + | 3.44242e10i | −0.0125572 | + | 0.00457045i | −0.348291 | − | 0.937386i | \(-0.613238\pi\) |
0.335734 | + | 0.941957i | \(0.391016\pi\) | |||||||
\(728\) | 8.84242e11 | − | 7.41967e11i | 0.116676 | − | 0.0979024i | ||||
\(729\) | 6.09422e12 | + | 1.05555e13i | 0.799180 | + | 1.38422i | ||||
\(730\) | 4.47433e12 | − | 7.74976e12i | 0.583143 | − | 1.01003i | ||||
\(731\) | 1.13960e12 | + | 6.46298e12i | 0.147613 | + | 0.837153i | ||||
\(732\) | 8.37739e11 | + | 4.75105e12i | 0.107847 | + | 0.611632i | ||||
\(733\) | 2.72074e12 | − | 4.71246e12i | 0.348112 | − | 0.602948i | −0.637802 | − | 0.770200i | \(-0.720156\pi\) |
0.985914 | + | 0.167252i | \(0.0534895\pi\) | |||||||
\(734\) | 4.25698e12 | + | 7.37331e12i | 0.541340 | + | 0.937628i | ||||
\(735\) | −9.92556e12 | + | 8.32853e12i | −1.25447 | + | 1.05263i | ||||
\(736\) | −1.83872e11 | + | 6.69238e10i | −0.0230975 | + | 0.00840679i | ||||
\(737\) | −2.30445e12 | − | 8.38751e11i | −0.287716 | − | 0.104720i | ||||
\(738\) | 2.52606e12 | + | 2.11962e12i | 0.313466 | + | 0.263029i | ||||
\(739\) | −1.25995e11 | + | 7.14553e11i | −0.0155401 | + | 0.0881321i | −0.991591 | − | 0.129408i | \(-0.958692\pi\) |
0.976051 | + | 0.217540i | \(0.0698034\pi\) | |||||||
\(740\) | 8.70854e12 | 1.06759 | ||||||||
\(741\) | 8.34247e12 | + | 1.10675e13i | 1.01651 | + | 1.34856i | ||||
\(742\) | −2.59324e12 | −0.314069 | ||||||||
\(743\) | −1.35884e11 | + | 7.70639e11i | −0.0163576 | + | 0.0927686i | −0.991894 | − | 0.127071i | \(-0.959442\pi\) |
0.975536 | + | 0.219840i | \(0.0705535\pi\) | |||||||
\(744\) | 2.50138e12 | + | 2.09890e12i | 0.299296 | + | 0.251139i | ||||
\(745\) | 5.17587e12 | + | 1.88386e12i | 0.615574 | + | 0.224051i | ||||
\(746\) | −4.40570e12 | + | 1.60354e12i | −0.520823 | + | 0.189564i | ||||
\(747\) | −1.07479e13 | + | 9.01852e12i | −1.26293 | + | 1.05972i | ||||
\(748\) | −4.48569e11 | − | 7.76943e11i | −0.0523928 | − | 0.0907470i | ||||
\(749\) | 2.73157e12 | − | 4.73122e12i | 0.317135 | − | 0.549294i | ||||
\(750\) | 9.20945e11 | + | 5.22294e12i | 0.106282 | + | 0.602753i | ||||
\(751\) | 1.65323e12 | + | 9.37593e12i | 0.189650 | + | 1.07556i | 0.919834 | + | 0.392308i | \(0.128323\pi\) |
−0.730184 | + | 0.683251i | \(0.760565\pi\) | |||||||
\(752\) | 8.20444e11 | − | 1.42105e12i | 0.0935554 | − | 0.162043i | ||||
\(753\) | 1.11685e13 | + | 1.93444e13i | 1.26595 | + | 2.19270i | ||||
\(754\) | 5.25145e12 | − | 4.40649e12i | 0.591709 | − | 0.496503i | ||||
\(755\) | 5.72121e12 | − | 2.08235e12i | 0.640806 | − | 0.233234i | ||||
\(756\) | −1.13968e12 | − | 4.14808e11i | −0.126892 | − | 0.0461848i | ||||
\(757\) | −2.85108e12 | − | 2.39234e12i | −0.315557 | − | 0.264784i | 0.471227 | − | 0.882012i | \(-0.343811\pi\) |
−0.786784 | + | 0.617228i | \(0.788256\pi\) | |||||||
\(758\) | −1.57399e12 | + | 8.92655e12i | −0.173177 | + | 0.982137i | ||||
\(759\) | 7.82555e11 | 0.0855907 | ||||||||
\(760\) | −3.61291e12 | + | 1.84152e12i | −0.392822 | + | 0.200223i | ||||
\(761\) | −5.12418e12 | −0.553852 | −0.276926 | − | 0.960891i | \(-0.589316\pi\) | ||||
−0.276926 | + | 0.960891i | \(0.589316\pi\) | |||||||
\(762\) | 3.98241e11 | − | 2.25854e12i | 0.0427907 | − | 0.242678i | ||||
\(763\) | 2.12947e12 | + | 1.78684e12i | 0.227464 | + | 0.190865i | ||||
\(764\) | 1.27824e12 | + | 4.65242e11i | 0.135735 | + | 0.0494037i | ||||
\(765\) | 8.46140e12 | − | 3.07970e12i | 0.893235 | − | 0.325111i | ||||
\(766\) | 4.05293e12 | − | 3.40081e12i | 0.425343 | − | 0.356905i | ||||
\(767\) | −4.82448e12 | − | 8.35624e12i | −0.503351 | − | 0.871830i | ||||
\(768\) | 4.70120e11 | − | 8.14272e11i | 0.0487622 | − | 0.0844586i | ||||
\(769\) | −2.11369e12 | − | 1.19873e13i | −0.217957 | − | 1.23610i | −0.875700 | − | 0.482855i | \(-0.839600\pi\) |
0.657743 | − | 0.753243i | \(-0.271511\pi\) | |||||||
\(770\) | −2.34548e11 | − | 1.33019e12i | −0.0240449 | − | 0.136365i | ||||
\(771\) | 8.52781e12 | − | 1.47706e13i | 0.869146 | − | 1.50541i | ||||
\(772\) | 8.88085e11 | + | 1.53821e12i | 0.0899864 | + | 0.155861i | ||||
\(773\) | −1.27040e13 | + | 1.06599e13i | −1.27977 | + | 1.07386i | −0.286496 | + | 0.958081i | \(0.592490\pi\) |
−0.993276 | + | 0.115774i | \(0.963065\pi\) | |||||||
\(774\) | 1.52322e13 | − | 5.54408e12i | 1.52556 | − | 0.555258i | ||||
\(775\) | −3.71057e12 | − | 1.35054e12i | −0.369473 | − | 0.134477i | ||||
\(776\) | −4.01748e12 | − | 3.37106e12i | −0.397718 | − | 0.333725i | ||||
\(777\) | −1.87619e12 | + | 1.06404e13i | −0.184664 | + | 1.04728i | ||||
\(778\) | −1.91097e12 | −0.187002 | ||||||||
\(779\) | −2.16366e11 | + | 4.13981e12i | −0.0210509 | + | 0.402775i | ||||
\(780\) | 1.08857e13 | 1.05300 | ||||||||
\(781\) | 1.32330e12 | − | 7.50483e12i | 0.127271 | − | 0.721790i | ||||
\(782\) | 4.18422e11 | + | 3.51098e11i | 0.0400115 | + | 0.0335736i | ||||
\(783\) | −6.76845e12 | − | 2.46352e12i | −0.643519 | − | 0.234222i | ||||
\(784\) | 2.09137e12 | − | 7.61198e11i | 0.197701 | − | 0.0719574i | ||||
\(785\) | −2.93115e12 | + | 2.45953e12i | −0.275502 | + | 0.231174i | ||||
\(786\) | −8.52988e11 | − | 1.47742e12i | −0.0797153 | − | 0.138071i | ||||
\(787\) | −3.78004e11 | + | 6.54721e11i | −0.0351245 | + | 0.0608373i | −0.883053 | − | 0.469273i | \(-0.844516\pi\) |
0.847929 | + | 0.530110i | \(0.177849\pi\) | |||||||
\(788\) | −3.68275e11 | − | 2.08859e12i | −0.0340255 | − | 0.192968i | ||||
\(789\) | −3.08740e12 | − | 1.75095e13i | −0.283626 | − | 1.60852i | ||||
\(790\) | 2.29072e11 | − | 3.96764e11i | 0.0209243 | − | 0.0362419i | ||||
\(791\) | −1.96879e12 | − | 3.41005e12i | −0.178816 | − | 0.309718i | ||||
\(792\) | −1.69750e12 | + | 1.42437e12i | −0.153301 | + | 0.128635i | ||||
\(793\) | 9.01540e12 | − | 3.28134e12i | 0.809572 | − | 0.294660i | ||||
\(794\) | −1.16852e13 | − | 4.25305e12i | −1.04338 | − | 0.379759i | ||||
\(795\) | −1.87342e13 | − | 1.57198e13i | −1.66334 | − | 1.39571i | ||||
\(796\) | 1.49214e11 | − | 8.46237e11i | 0.0131735 | − | 0.0747108i | ||||
\(797\) | −1.61153e13 | −1.41474 | −0.707371 | − | 0.706843i | \(-0.750119\pi\) | ||||
−0.707371 | + | 0.706843i | \(0.750119\pi\) | |||||||
\(798\) | −1.47165e12 | − | 4.81111e12i | −0.128467 | − | 0.419984i | ||||
\(799\) | −4.58048e12 | −0.397604 | ||||||||
\(800\) | −1.97442e11 | + | 1.11975e12i | −0.0170425 | + | 0.0966529i | ||||
\(801\) | 2.20691e13 | + | 1.85181e13i | 1.89425 | + | 1.58946i | ||||
\(802\) | −1.41589e12 | − | 5.15341e11i | −0.120849 | − | 0.0439856i | ||||
\(803\) | 5.77663e12 | − | 2.10252e12i | 0.490292 | − | 0.178452i | ||||
\(804\) | −5.49601e12 | + | 4.61170e12i | −0.463869 | + | 0.389232i | ||||
\(805\) | 4.11181e11 | + | 7.12186e11i | 0.0345105 | + | 0.0597740i | ||||
\(806\) | 3.24680e12 | − | 5.62362e12i | 0.270987 | − | 0.469363i | ||||
\(807\) | −3.37462e12 | − | 1.91384e13i | −0.280087 | − | 1.58845i | ||||
\(808\) | 5.03086e11 | + | 2.85314e12i | 0.0415232 | + | 0.235490i | ||||
\(809\) | 3.38415e12 | − | 5.86152e12i | 0.277767 | − | 0.481107i | −0.693062 | − | 0.720878i | \(-0.743739\pi\) |
0.970830 | + | 0.239771i | \(0.0770723\pi\) | |||||||
\(810\) | 2.03165e12 | + | 3.51893e12i | 0.165832 | + | 0.287229i | ||||
\(811\) | 5.35741e12 | − | 4.49540e12i | 0.434871 | − | 0.364900i | −0.398915 | − | 0.916988i | \(-0.630613\pi\) |
0.833786 | + | 0.552088i | \(0.186169\pi\) | |||||||
\(812\) | −2.33846e12 | + | 8.51129e11i | −0.188768 | + | 0.0687058i | ||||
\(813\) | −1.99724e13 | − | 7.26937e12i | −1.60333 | − | 0.583565i | ||||
\(814\) | 4.58279e12 | + | 3.84542e12i | 0.365864 | + | 0.306997i | ||||
\(815\) | 2.22119e12 | − | 1.25970e13i | 0.176350 | − | 1.00013i | ||||
\(816\) | −2.62465e12 | −0.207236 | ||||||||
\(817\) | 1.70920e13 | + | 1.10962e13i | 1.34213 | + | 0.871314i | ||||
\(818\) | −9.13780e12 | −0.713595 | ||||||||
\(819\) | −1.38202e12 | + | 7.83785e12i | −0.107334 | + | 0.608722i | ||||
\(820\) | 2.49420e12 | + | 2.09289e12i | 0.192650 | + | 0.161653i | ||||
\(821\) | −4.56226e11 | − | 1.66053e11i | −0.0350458 | − | 0.0127556i | 0.324438 | − | 0.945907i | \(-0.394825\pi\) |
−0.359484 | + | 0.933151i | \(0.617047\pi\) | |||||||
\(822\) | −1.54374e13 | + | 5.61875e12i | −1.17937 | + | 0.429256i | ||||
\(823\) | 6.49248e12 | − | 5.44783e12i | 0.493300 | − | 0.413928i | −0.361907 | − | 0.932214i | \(-0.617874\pi\) |
0.855207 | + | 0.518286i | \(0.173430\pi\) | |||||||
\(824\) | −4.14332e12 | − | 7.17644e12i | −0.313095 | − | 0.542297i | ||||
\(825\) | 2.27365e12 | − | 3.93808e12i | 0.170876 | − | 0.295966i | ||||
\(826\) | 6.08231e11 | + | 3.44945e12i | 0.0454630 | + | 0.257834i | ||||
\(827\) | −7.73103e11 | − | 4.38448e12i | −0.0574728 | − | 0.325945i | 0.942493 | − | 0.334226i | \(-0.108475\pi\) |
−0.999966 | + | 0.00828165i | \(0.997364\pi\) | |||||||
\(828\) | 6.74570e11 | − | 1.16839e12i | 0.0498759 | − | 0.0863875i | ||||
\(829\) | −2.12220e12 | − | 3.67577e12i | −0.156060 | − | 0.270304i | 0.777384 | − | 0.629026i | \(-0.216546\pi\) |
−0.933445 | + | 0.358722i | \(0.883213\pi\) | |||||||
\(830\) | −1.06123e13 | + | 8.90478e12i | −0.776173 | + | 0.651286i | ||||
\(831\) | 3.57728e12 | − | 1.30202e12i | 0.260224 | − | 0.0947139i | ||||
\(832\) | −1.75705e12 | − | 6.39515e11i | −0.127125 | − | 0.0462696i | ||||
\(833\) | −4.75918e12 | − | 3.99342e12i | −0.342475 | − | 0.287371i | ||||
\(834\) | −4.34489e12 | + | 2.46411e13i | −0.310979 | + | 1.76365i | ||||
\(835\) | 1.08081e13 | 0.769411 | ||||||||
\(836\) | −2.71441e12 | − | 6.26264e11i | −0.192198 | − | 0.0443434i | ||||
\(837\) | −6.82282e12 | −0.480507 | ||||||||
\(838\) | 2.53434e12 | − | 1.43730e13i | 0.177528 | − | 1.00681i | ||||
\(839\) | 2.02440e13 | + | 1.69868e13i | 1.41048 | + | 1.18354i | 0.956212 | + | 0.292673i | \(0.0945448\pi\) |
0.454271 | + | 0.890863i | \(0.349900\pi\) | |||||||
\(840\) | −3.71329e12 | − | 1.35153e12i | −0.257337 | − | 0.0936629i | ||||
\(841\) | −2.55681e11 | + | 9.30603e10i | −0.0176245 | + | 0.00641479i | ||||
\(842\) | 3.63618e12 | − | 3.05112e12i | 0.249311 | − | 0.209197i | ||||
\(843\) | 8.58733e12 | + | 1.48737e13i | 0.585645 | + | 1.01437i | ||||
\(844\) | 1.52666e12 | − | 2.64426e12i | 0.103563 | − | 0.179376i | ||||
\(845\) | −5.49766e11 | − | 3.11788e12i | −0.0370956 | − | 0.210380i | ||||
\(846\) | 1.96462e12 | + | 1.11419e13i | 0.131859 | + | 0.747811i | ||||
\(847\) | −2.51720e12 | + | 4.35991e12i | −0.168051 | + | 0.291073i | ||||
\(848\) | 2.10037e12 | + | 3.63794e12i | 0.139481 | + | 0.241588i | ||||
\(849\) | −1.90254e13 | + | 1.59642e13i | −1.25675 | + | 1.05454i | ||||
\(850\) | 2.98254e12 | − | 1.08556e12i | 0.195975 | − | 0.0713291i | ||||
\(851\) | −3.42266e12 | − | 1.24575e12i | −0.223708 | − | 0.0814229i | ||||
\(852\) | −1.70787e13 | − | 1.43307e13i | −1.11039 | − | 0.931731i | ||||
\(853\) | 2.25317e12 | − | 1.27784e13i | 0.145722 | − | 0.826428i | −0.821063 | − | 0.570837i | \(-0.806619\pi\) |
0.966785 | − | 0.255591i | \(-0.0822701\pi\) | |||||||
\(854\) | −3.48271e12 | −0.224056 | ||||||||
\(855\) | 1.09211e13 | − | 2.57388e13i | 0.698908 | − | 1.64718i | ||||
\(856\) | −8.84961e12 | −0.563368 | ||||||||
\(857\) | −3.35795e12 | + | 1.90439e13i | −0.212648 | + | 1.20599i | 0.672294 | + | 0.740284i | \(0.265309\pi\) |
−0.884942 | + | 0.465702i | \(0.845802\pi\) | |||||||
\(858\) | 5.72848e12 | + | 4.80676e12i | 0.360866 | + | 0.302803i | ||||
\(859\) | 1.13320e13 | + | 4.12452e12i | 0.710130 | + | 0.258466i | 0.671730 | − | 0.740796i | \(-0.265552\pi\) |
0.0384001 | + | 0.999262i | \(0.487774\pi\) | |||||||
\(860\) | 1.50401e13 | − | 5.47416e12i | 0.937580 | − | 0.341251i | ||||
\(861\) | −3.09452e12 | + | 2.59661e12i | −0.191902 | + | 0.161025i | ||||
\(862\) | 5.84862e12 | + | 1.01301e13i | 0.360803 | + | 0.624930i | ||||
\(863\) | 2.42385e12 | − | 4.19824e12i | 0.148750 | − | 0.257643i | −0.782016 | − | 0.623259i | \(-0.785808\pi\) |
0.930766 | + | 0.365616i | \(0.119142\pi\) | |||||||
\(864\) | 3.41152e11 | + | 1.93477e12i | 0.0208274 | + | 0.118118i | ||||
\(865\) | −4.85979e12 | − | 2.75612e13i | −0.295151 | − | 1.67389i | ||||
\(866\) | 6.61884e12 | − | 1.14642e13i | 0.399900 | − | 0.692647i | ||||
\(867\) | −9.31713e12 | − | 1.61377e13i | −0.560011 | − | 0.969967i | ||||
\(868\) | −1.80575e12 | + | 1.51521e12i | −0.107974 | + | 0.0906010i | ||||
\(869\) | 2.95746e11 | − | 1.07643e11i | 0.0175926 | − | 0.00640318i | ||||
\(870\) | −2.20530e13 | − | 8.02662e12i | −1.30506 | − | 0.475003i | ||||
\(871\) | 1.09297e13 | + | 9.17110e12i | 0.643467 | + | 0.539933i | ||||
\(872\) | 7.81935e11 | − | 4.43457e12i | 0.0457980 | − | 0.259733i | ||||
\(873\) | 3.61599e13 | 2.10699 | ||||||||
\(874\) | 1.68338e12 | − | 2.06937e11i | 0.0975847 | − | 0.0119960i | ||||
\(875\) | −3.82862e12 | −0.220804 | ||||||||
\(876\) | 3.12299e12 | − | 1.77114e13i | 0.179185 | − | 1.01621i | ||||
\(877\) | −7.65674e12 | − | 6.42477e12i | −0.437065 | − | 0.366741i | 0.397545 | − | 0.917583i | \(-0.369862\pi\) |
−0.834610 | + | 0.550842i | \(0.814307\pi\) | |||||||
\(878\) | −1.94881e13 | − | 7.09308e12i | −1.10674 | − | 0.402819i | ||||
\(879\) | −2.04801e13 | + | 7.45416e12i | −1.15713 | + | 0.421162i | ||||
\(880\) | −1.67609e12 | + | 1.40640e12i | −0.0942160 | + | 0.0790566i | ||||
\(881\) | 4.07177e12 | + | 7.05251e12i | 0.227715 | + | 0.394414i | 0.957131 | − | 0.289657i | \(-0.0935412\pi\) |
−0.729416 | + | 0.684071i | \(0.760208\pi\) | |||||||
\(882\) | −7.67262e12 | + | 1.32894e13i | −0.426909 | + | 0.739428i | ||||
\(883\) | 1.84570e11 | + | 1.04675e12i | 0.0102174 | + | 0.0579455i | 0.989490 | − | 0.144600i | \(-0.0461896\pi\) |
−0.979273 | + | 0.202546i | \(0.935079\pi\) | |||||||
\(884\) | 9.06362e11 | + | 5.14023e12i | 0.0499191 | + | 0.283105i | ||||
\(885\) | −1.65160e13 | + | 2.86066e13i | −0.905026 | + | 1.56755i | ||||
\(886\) | −3.84486e12 | − | 6.65949e12i | −0.209618 | − | 0.363069i | ||||
\(887\) | 1.94919e13 | − | 1.63557e13i | 1.05730 | − | 0.887181i | 0.0634586 | − | 0.997984i | \(-0.479787\pi\) |
0.993842 | + | 0.110804i | \(0.0353425\pi\) | |||||||
\(888\) | 1.64465e13 | − | 5.98604e12i | 0.887596 | − | 0.323059i | ||||
\(889\) | 1.55575e12 | + | 5.66248e11i | 0.0835378 | + | 0.0304053i | ||||
\(890\) | 2.17907e13 | + | 1.82846e13i | 1.16417 | + | 0.976855i | ||||
\(891\) | −4.84709e11 | + | 2.74892e12i | −0.0257651 | + | 0.146121i | ||||
\(892\) | −9.16853e12 | −0.484906 | ||||||||
\(893\) | −9.69856e12 | + | 1.04034e13i | −0.510359 | + | 0.547450i | ||||
\(894\) | 1.10698e13 | 0.579591 | ||||||||
\(895\) | −1.99787e12 | + | 1.13305e13i | −0.104079 | + | 0.590261i | ||||
\(896\) | 5.19962e11 | + | 4.36300e11i | 0.0269517 | + | 0.0226151i | ||||
\(897\) | −4.27832e12 | − | 1.55718e12i | −0.220652 | − | 0.0803106i | ||||
\(898\) | 1.25457e13 | − | 4.56626e12i | 0.643800 | − | 0.234324i | ||||
\(899\) | −1.07242e13 | + | 8.99870e12i | −0.547580 | + | 0.459474i | ||||
\(900\) | −3.91982e12 | − | 6.78933e12i | −0.199148 | − | 0.344934i | ||||
\(901\) | 5.86310e12 | − | 1.01552e13i | 0.296392 | − | 0.513365i | ||||
\(902\) | 3.88400e11 | + | 2.20272e12i | 0.0195366 | + | 0.110798i | ||||
\(903\) | 3.44823e12 | + | 1.95559e13i | 0.172584 | + | 0.978775i | ||||
\(904\) | −3.18920e12 | + | 5.52386e12i | −0.158827 | + | 0.275096i | ||||
\(905\) | 2.31241e13 | + | 4.00522e13i | 1.14590 | + | 1.98476i | ||||
\(906\) | 9.37344e12 | − | 7.86525e12i | 0.462192 | − | 0.387825i | ||||
\(907\) | −1.26890e13 | + | 4.61843e12i | −0.622580 | + | 0.226601i | −0.633999 | − | 0.773334i | \(-0.718588\pi\) |
0.0114184 | + | 0.999935i | \(0.496365\pi\) | |||||||
\(908\) | 2.06648e12 | + | 7.52136e11i | 0.100889 | + | 0.0367206i | ||||
\(909\) | −1.53022e13 | − | 1.28401e13i | −0.743390 | − | 0.623778i | ||||
\(910\) | −1.36459e12 | + | 7.73900e12i | −0.0659656 | + | 0.374109i | ||||
\(911\) | 3.52873e13 | 1.69740 | 0.848702 | − | 0.528872i | \(-0.177385\pi\) | ||||
0.848702 | + | 0.528872i | \(0.177385\pi\) | |||||||
\(912\) | −5.55734e12 | + | 5.96122e12i | −0.266005 | + | 0.285337i | ||||
\(913\) | −9.51670e12 | −0.453282 | ||||||||
\(914\) | −1.41513e12 | + | 8.02559e12i | −0.0670715 | + | 0.380381i | ||||
\(915\) | −2.51599e13 | − | 2.11116e13i | −1.18663 | − | 0.995697i | ||||
\(916\) | −1.63045e13 | − | 5.93435e12i | −0.765205 | − | 0.278512i | ||||
\(917\) | 1.15728e12 | − | 4.21215e11i | 0.0540475 | − | 0.0196717i | ||||
\(918\) | 4.20111e12 | − | 3.52515e12i | 0.195241 | − | 0.163827i | ||||
\(919\) | 3.55779e12 | + | 6.16227e12i | 0.164536 | + | 0.284984i | 0.936490 | − | 0.350694i | \(-0.114054\pi\) |
−0.771955 | + | 0.635678i | \(0.780721\pi\) | |||||||
\(920\) | 6.66063e11 | − | 1.15365e12i | 0.0306528 | − | 0.0530922i | ||||
\(921\) | −4.04577e12 | − | 2.29447e13i | −0.185282 | − | 1.05078i | ||||
\(922\) | 1.34880e12 | + | 7.64944e12i | 0.0614695 | + | 0.348611i | ||||
\(923\) | −2.21683e13 | + | 3.83966e13i | −1.00537 | + | 1.74135i | ||||
\(924\) | −1.35729e12 | − | 2.35090e12i | −0.0612561 | − | 0.106099i | ||||
\(925\) | −1.62133e13 | + | 1.36046e13i | −0.728172 | + | 0.611009i | ||||
\(926\) | 2.49142e12 | − | 9.06801e11i | 0.111352 | − | 0.0405287i | ||||
\(927\) | 5.36899e13 | + | 1.95415e13i | 2.38800 | + | 0.869160i | ||||
\(928\) | 3.08802e12 | + | 2.59116e12i | 0.136683 | + | 0.114691i | ||||
\(929\) | 7.71139e12 | − | 4.37335e13i | 0.339674 | − | 1.92639i | −0.0353579 | − | 0.999375i | \(-0.511257\pi\) |
0.375032 | − | 0.927012i | \(-0.377632\pi\) | |||||||
\(930\) | −2.22301e13 | −0.974469 | ||||||||
\(931\) | −1.91470e13 | + | 2.35373e12i | −0.835269 | + | 0.102679i | ||||
\(932\) | 6.49864e12 | 0.282131 | ||||||||
\(933\) | 2.68335e12 | − | 1.52180e13i | 0.115934 | − | 0.657494i | ||||
\(934\) | 1.50098e13 | + | 1.25947e13i | 0.645377 | + | 0.541536i | ||||
\(935\) | 5.73932e12 | + | 2.08894e12i | 0.245589 | + | 0.0893870i | ||||
\(936\) | 1.21147e13 | − | 4.40940e12i | 0.515908 | − | 0.187775i | ||||
\(937\) | 2.60035e13 | − | 2.18195e13i | 1.10205 | − | 0.924733i | 0.104492 | − | 0.994526i | \(-0.466678\pi\) |
0.997562 | + | 0.0697927i | \(0.0222338\pi\) | |||||||
\(938\) | −2.58966e12 | − | 4.48542e12i | −0.109227 | − | 0.189187i | ||||
\(939\) | 6.94090e12 | − | 1.20220e13i | 0.291354 | − | 0.504640i | ||||
\(940\) | 1.93984e12 | + | 1.10014e13i | 0.0810383 | + | 0.459591i | ||||
\(941\) | 6.82718e12 | + | 3.87189e13i | 0.283850 | + | 1.60979i | 0.709366 | + | 0.704840i | \(0.248981\pi\) |
−0.425516 | + | 0.904951i | \(0.639907\pi\) | |||||||
\(942\) | −3.84501e12 | + | 6.65975e12i | −0.159099 | + | 0.275568i | ||||
\(943\) | −6.80896e11 | − | 1.17935e12i | −0.0280400 | − | 0.0485667i | ||||
\(944\) | 4.34645e12 | − | 3.64710e12i | 0.178140 | − | 0.149477i | ||||
\(945\) | 7.75885e12 | − | 2.82399e12i | 0.316486 | − | 0.115191i | ||||
\(946\) | 1.03319e13 | + | 3.76052e12i | 0.419442 | + | 0.152664i | ||||
\(947\) | 2.32080e13 | + | 1.94738e13i | 0.937696 | + | 0.786821i | 0.977183 | − | 0.212399i | \(-0.0681278\pi\) |
−0.0394865 | + | 0.999220i | \(0.512572\pi\) | |||||||
\(948\) | 1.59888e11 | − | 9.06768e11i | 0.00642950 | − | 0.0364635i | ||||
\(949\) | −3.57652e13 | −1.43141 | ||||||||
\(950\) | 3.84956e12 | − | 9.07261e12i | 0.153340 | − | 0.361390i | ||||
\(951\) | 4.85597e13 | 1.92515 | ||||||||
\(952\) | 3.29018e11 | − | 1.86596e12i | 0.0129824 | − | 0.0736266i | ||||
\(953\) | −7.49357e12 | − | 6.28785e12i | −0.294287 | − | 0.246936i | 0.483675 | − | 0.875248i | \(-0.339302\pi\) |
−0.777962 | + | 0.628312i | \(0.783746\pi\) | |||||||
\(954\) | −2.72169e13 | − | 9.90615e12i | −1.06383 | − | 0.387202i | ||||
\(955\) | −8.70221e12 | + | 3.16735e12i | −0.338543 | + | 0.123220i | ||||
\(956\) | −9.74297e12 | + | 8.17532e12i | −0.377251 | + | 0.316552i | ||||
\(957\) | −8.06087e12 | − | 1.39618e13i | −0.310655 | − | 0.538070i | ||||
\(958\) | −1.48126e13 | + | 2.56561e13i | −0.568180 | + | 0.984116i | ||||
\(959\) | −2.05938e12 | − | 1.16793e13i | −0.0786237 | − | 0.445897i | ||||
\(960\) | 1.11154e12 | + | 6.30386e12i | 0.0422381 | + | 0.239544i | ||||
\(961\) | 6.58937e12 | − | 1.14131e13i | 0.249223 | − | 0.431667i | ||||
\(962\) | −1.74028e13 | − | 3.01425e13i | −0.655135 | − | 1.13473i | ||||
\(963\) | 4.67419e13 | − | 3.92211e13i | 1.75141 | − | 1.46961i | ||||
\(964\) | −1.74331e13 | + | 6.34514e12i | −0.650173 | + | 0.236644i | ||||
\(965\) | −1.13628e13 | − | 4.13573e12i | −0.421807 | − | 0.153525i | ||||
\(966\) | 1.26608e12 | + | 1.06236e12i | 0.0467803 | + | 0.0392533i | ||||
\(967\) | 4.32243e12 | − | 2.45137e13i | 0.158968 | − | 0.901550i | −0.796101 | − | 0.605164i | \(-0.793107\pi\) |
0.955068 | − | 0.296386i | \(-0.0957815\pi\) | |||||||
\(968\) | 8.15510e12 | 0.298532 | ||||||||
\(969\) | 2.21677e13 | + | 5.11448e12i | 0.807725 | + | 0.186357i | ||||
\(970\) | 3.57039e13 | 1.29492 | ||||||||
\(971\) | −6.07554e12 | + | 3.44561e13i | −0.219330 | + | 1.24388i | 0.653902 | + | 0.756579i | \(0.273131\pi\) |
−0.873232 | + | 0.487304i | \(0.837980\pi\) | |||||||
\(972\) | 1.34878e13 | + | 1.13176e13i | 0.484666 | + | 0.406683i | ||||
\(973\) | −1.69736e13 | − | 6.17787e12i | −0.607107 | − | 0.220969i | ||||
\(974\) | −7.19080e12 | + | 2.61724e12i | −0.256013 | + | 0.0931811i | ||||
\(975\) | −2.02666e13 | + | 1.70057e13i | −0.718224 | + | 0.602662i | ||||
\(976\) | 2.82078e12 | + | 4.88574e12i | 0.0995051 | + | 0.172348i | ||||
\(977\) | −1.53641e13 | + | 2.66113e13i | −0.539486 | + | 0.934418i | 0.459445 | + | 0.888206i | \(0.348048\pi\) |
−0.998932 | + | 0.0462116i | \(0.985285\pi\) | |||||||
\(978\) | −4.46403e12 | − | 2.53168e13i | −0.156028 | − | 0.884879i | ||||
\(979\) | 3.39327e12 | + | 1.92442e13i | 0.118058 | + | 0.669542i | ||||
\(980\) | −7.57586e12 | + | 1.31218e13i | −0.262370 | + | 0.454439i | ||||
\(981\) | 1.55238e13 | + | 2.68880e13i | 0.535165 | + | 0.926934i | ||||
\(982\) | −1.71390e13 | + | 1.43814e13i | −0.588146 | + | 0.493513i | ||||
\(983\) | −6.00587e12 | + | 2.18596e12i | −0.205156 | + | 0.0746708i | −0.442554 | − | 0.896742i | \(-0.645928\pi\) |
0.237398 | + | 0.971412i | \(0.423705\pi\) | |||||||
\(984\) | 6.14903e12 | + | 2.23806e12i | 0.209088 | + | 0.0761017i | ||||
\(985\) | 1.10604e13 | + | 9.28080e12i | 0.374377 | + | 0.314140i | ||||
\(986\) | 1.95402e12 | − | 1.10818e13i | 0.0658388 | − | 0.373391i | ||||
\(987\) | −1.38598e13 | −0.464867 | ||||||||
\(988\) | 1.35938e13 | + | 8.82519e12i | 0.453875 | + | 0.294658i | ||||
\(989\) | −6.69420e12 | −0.222492 | ||||||||
\(990\) | 2.61964e12 | − | 1.48567e13i | 0.0866728 | − | 0.491546i | ||||
\(991\) | −2.57246e13 | − | 2.15855e13i | −0.847260 | − | 0.710936i | 0.111924 | − | 0.993717i | \(-0.464299\pi\) |
−0.959185 | + | 0.282781i | \(0.908743\pi\) | |||||||
\(992\) | 3.58816e12 | + | 1.30598e12i | 0.117644 | + | 0.0428189i | ||||
\(993\) | −8.47698e13 | + | 3.08537e13i | −2.76675 | + | 1.00701i | ||||
\(994\) | 1.23292e13 | − | 1.03454e13i | 0.400586 | − | 0.336131i | ||||
\(995\) | 2.92501e12 | + | 5.06626e12i | 0.0946069 | + | 0.163864i | ||||
\(996\) | −1.39209e13 | + | 2.41118e13i | −0.448231 | + | 0.776358i | ||||
\(997\) | −2.41370e12 | − | 1.36888e13i | −0.0773668 | − | 0.438769i | −0.998744 | − | 0.0501000i | \(-0.984046\pi\) |
0.921377 | − | 0.388669i | \(-0.127065\pi\) | |||||||
\(998\) | −2.89541e11 | − | 1.64207e12i | −0.00923896 | − | 0.0523968i | ||||
\(999\) | −1.82851e13 | + | 3.16707e13i | −0.580834 | + | 1.00603i |
(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 | 38.10.e.a.17.1 | yes | 42 | |
19.9 | even | 9 | inner | 38.10.e.a.9.1 | ✓ | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.10.e.a.9.1 | ✓ | 42 | 19.9 | even | 9 | inner | |
38.10.e.a.17.1 | yes | 42 | 1.1 | even | 1 | trivial |