Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,9,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), 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: | \(17.5172802326\) |
Analytic rank: | \(0\) |
Dimension: | \(174\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 22.20 | ||
Character | \(\chi\) | \(=\) | 43.22 |
Dual form | 43.9.f.a.2.20 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.47023 | − | 9.28252i | 0.279389 | − | 0.580158i | −0.713300 | − | 0.700859i | \(-0.752800\pi\) |
0.992689 | + | 0.120702i | \(0.0385144\pi\) | |||||||
\(3\) | 45.7755 | + | 95.0539i | 0.565130 | + | 1.17350i | 0.966280 | + | 0.257492i | \(0.0828962\pi\) |
−0.401150 | + | 0.916012i | \(0.631389\pi\) | |||||||
\(4\) | 93.4311 | + | 117.159i | 0.364965 | + | 0.457652i | ||||
\(5\) | 498.592 | − | 113.800i | 0.797747 | − | 0.182080i | 0.195828 | − | 0.980638i | \(-0.437260\pi\) |
0.601918 | + | 0.798558i | \(0.294403\pi\) | |||||||
\(6\) | 1086.97 | 0.838709 | ||||||||
\(7\) | − | 1744.42i | − | 0.726538i | −0.931684 | − | 0.363269i | \(-0.881661\pi\) | ||
0.931684 | − | 0.363269i | \(-0.118339\pi\) | |||||||
\(8\) | 4076.58 | − | 930.453i | 0.995259 | − | 0.227161i | ||||
\(9\) | −2849.12 | + | 3572.69i | −0.434251 | + | 0.544534i | ||||
\(10\) | 1172.46 | − | 5136.90i | 0.117246 | − | 0.513690i | ||||
\(11\) | 10887.9 | − | 13653.0i | 0.743659 | − | 0.932518i | −0.255756 | − | 0.966741i | \(-0.582324\pi\) |
0.999414 | + | 0.0342231i | \(0.0108957\pi\) | |||||||
\(12\) | −6859.55 | + | 14244.0i | −0.330804 | + | 0.686921i | ||||
\(13\) | 6288.43 | + | 27551.4i | 0.220175 | + | 0.964651i | 0.957346 | + | 0.288944i | \(0.0933043\pi\) |
−0.737171 | + | 0.675707i | \(0.763839\pi\) | |||||||
\(14\) | −16192.6 | − | 7797.94i | −0.421506 | − | 0.202987i | ||||
\(15\) | 33640.5 | + | 42183.8i | 0.664503 | + | 0.833260i | ||||
\(16\) | 1049.93 | − | 4600.05i | 0.0160207 | − | 0.0701913i | ||||
\(17\) | −18570.6 | + | 81363.1i | −0.222347 | + | 0.974164i | 0.733360 | + | 0.679841i | \(0.237951\pi\) |
−0.955706 | + | 0.294323i | \(0.904906\pi\) | |||||||
\(18\) | 20427.3 | + | 42417.8i | 0.194590 | + | 0.404071i | ||||
\(19\) | −30312.4 | + | 24173.3i | −0.232598 | + | 0.185491i | −0.732852 | − | 0.680388i | \(-0.761811\pi\) |
0.500254 | + | 0.865879i | \(0.333240\pi\) | |||||||
\(20\) | 59916.7 | + | 47782.0i | 0.374479 | + | 0.298637i | ||||
\(21\) | 165814. | − | 79851.6i | 0.852596 | − | 0.410588i | ||||
\(22\) | −78062.9 | − | 162099.i | −0.333237 | − | 0.691975i | ||||
\(23\) | −28506.6 | + | 35746.1i | −0.101867 | + | 0.127737i | −0.830152 | − | 0.557537i | \(-0.811746\pi\) |
0.728285 | + | 0.685275i | \(0.240318\pi\) | |||||||
\(24\) | 275051. | + | 344903.i | 0.829026 | + | 1.03957i | ||||
\(25\) | −116298. | + | 56006.1i | −0.297722 | + | 0.143376i | ||||
\(26\) | 283857. | + | 64788.6i | 0.621164 | + | 0.141777i | ||||
\(27\) | 204825. | + | 46749.9i | 0.385414 | + | 0.0879682i | ||||
\(28\) | 204374. | − | 162983.i | 0.332501 | − | 0.265161i | ||||
\(29\) | 543762. | − | 1.12913e6i | 0.768806 | − | 1.59644i | −0.0334349 | − | 0.999441i | \(-0.510645\pi\) |
0.802241 | − | 0.597001i | \(-0.203641\pi\) | |||||||
\(30\) | 541953. | − | 123697.i | 0.669077 | − | 0.152713i | ||||
\(31\) | −1.02751e6 | − | 494824.i | −1.11260 | − | 0.535802i | −0.215004 | − | 0.976613i | \(-0.568977\pi\) |
−0.897600 | + | 0.440811i | \(0.854691\pi\) | |||||||
\(32\) | 798900. | + | 637101.i | 0.761890 | + | 0.607587i | ||||
\(33\) | 1.79617e6 | + | 409964.i | 1.51458 | + | 0.345693i | ||||
\(34\) | 672240. | + | 536094.i | 0.503047 | + | 0.401167i | ||||
\(35\) | −198515. | − | 869752.i | −0.132288 | − | 0.579593i | ||||
\(36\) | −684769. | −0.407694 | ||||||||
\(37\) | 3.13557e6i | 1.67305i | 0.547927 | + | 0.836526i | \(0.315417\pi\) | ||||
−0.547927 | + | 0.836526i | \(0.684583\pi\) | |||||||
\(38\) | 88886.1 | + | 389436.i | 0.0426285 | + | 0.186767i | ||||
\(39\) | −2.33101e6 | + | 1.85892e6i | −1.00759 | + | 0.803530i | ||||
\(40\) | 1.92666e6 | − | 927833.i | 0.752603 | − | 0.362435i | ||||
\(41\) | −2.18126e6 | − | 1.05044e6i | −0.771918 | − | 0.371736i | 0.00609710 | − | 0.999981i | \(-0.498059\pi\) |
−0.778015 | + | 0.628245i | \(0.783774\pi\) | |||||||
\(42\) | − | 1.89612e6i | − | 0.609354i | ||||||
\(43\) | −3.40038e6 | − | 354389.i | −0.994613 | − | 0.103659i | ||||
\(44\) | 2.61684e6 | 0.698178 | ||||||||
\(45\) | −1.01398e6 | + | 2.10554e6i | −0.247274 | + | 0.513469i | ||||
\(46\) | 204383. | + | 424406.i | 0.0456472 | + | 0.0947873i | ||||
\(47\) | 207835. | + | 260617.i | 0.0425919 | + | 0.0534086i | 0.802671 | − | 0.596422i | \(-0.203411\pi\) |
−0.760079 | + | 0.649830i | \(0.774840\pi\) | |||||||
\(48\) | 485314. | − | 110770.i | 0.0914235 | − | 0.0208668i | ||||
\(49\) | 2.72181e6 | 0.472143 | ||||||||
\(50\) | 1.32990e6i | 0.212783i | ||||||||
\(51\) | −8.58396e6 | + | 1.95923e6i | −1.26884 | + | 0.289605i | ||||
\(52\) | −2.64036e6 | + | 3.31090e6i | −0.361118 | + | 0.452828i | ||||
\(53\) | −271064. | + | 1.18761e6i | −0.0343533 | + | 0.150512i | −0.989196 | − | 0.146601i | \(-0.953167\pi\) |
0.954842 | + | 0.297113i | \(0.0960238\pi\) | |||||||
\(54\) | 1.34957e6 | − | 1.69231e6i | 0.158716 | − | 0.199023i | ||||
\(55\) | 3.87490e6 | − | 8.04632e6i | 0.423458 | − | 0.879319i | ||||
\(56\) | −1.62310e6 | − | 7.11126e6i | −0.165041 | − | 0.723094i | ||||
\(57\) | −3.68533e6 | − | 1.77476e6i | −0.349122 | − | 0.168128i | ||||
\(58\) | −8.05046e6 | − | 1.00950e7i | −0.711392 | − | 0.892057i | ||||
\(59\) | 1.33975e6 | − | 5.86984e6i | 0.110565 | − | 0.484416i | −0.889080 | − | 0.457752i | \(-0.848655\pi\) |
0.999644 | − | 0.0266633i | \(-0.00848821\pi\) | |||||||
\(60\) | −1.79914e6 | + | 7.88256e6i | −0.138823 | + | 0.608222i | ||||
\(61\) | −9.99937e6 | − | 2.07639e7i | −0.722193 | − | 1.49965i | −0.860604 | − | 0.509274i | \(-0.829914\pi\) |
0.138411 | − | 0.990375i | \(-0.455800\pi\) | |||||||
\(62\) | −9.18644e6 | + | 7.32594e6i | −0.621699 | + | 0.495789i | ||||
\(63\) | 6.23226e6 | + | 4.97006e6i | 0.395625 | + | 0.315500i | ||||
\(64\) | 1.05734e7 | − | 5.09190e6i | 0.630227 | − | 0.303501i | ||||
\(65\) | 6.27072e6 | + | 1.30213e7i | 0.351288 | + | 0.729458i | ||||
\(66\) | 1.18348e7 | − | 1.48404e7i | 0.623713 | − | 0.782112i | ||||
\(67\) | −5.54357e6 | − | 6.95141e6i | −0.275100 | − | 0.344964i | 0.625018 | − | 0.780610i | \(-0.285091\pi\) |
−0.900118 | + | 0.435646i | \(0.856520\pi\) | |||||||
\(68\) | −1.12675e7 | + | 5.42613e6i | −0.526977 | + | 0.253779i | ||||
\(69\) | −4.70271e6 | − | 1.07336e6i | −0.207468 | − | 0.0473533i | ||||
\(70\) | −8.96090e6 | − | 2.04527e6i | −0.373215 | − | 0.0851840i | ||||
\(71\) | −3.42485e6 | + | 2.73122e6i | −0.134774 | + | 0.107479i | −0.688557 | − | 0.725182i | \(-0.741755\pi\) |
0.553782 | + | 0.832661i | \(0.313184\pi\) | |||||||
\(72\) | −8.29047e6 | + | 1.72153e7i | −0.308496 | + | 0.640598i | ||||
\(73\) | −3.77485e6 | + | 861585.i | −0.132926 | + | 0.0303394i | −0.288466 | − | 0.957490i | \(-0.593145\pi\) |
0.155540 | + | 0.987830i | \(0.450288\pi\) | |||||||
\(74\) | 2.91060e7 | + | 1.40167e7i | 0.970634 | + | 0.467433i | ||||
\(75\) | −1.06472e7 | − | 8.49085e6i | −0.336504 | − | 0.268353i | ||||
\(76\) | −5.66424e6 | − | 1.29283e6i | −0.169780 | − | 0.0387512i | ||||
\(77\) | −2.38165e7 | − | 1.89931e7i | −0.677510 | − | 0.540296i | ||||
\(78\) | 6.83531e6 | + | 2.99475e7i | 0.184663 | + | 0.809062i | ||||
\(79\) | −1.28272e7 | −0.329324 | −0.164662 | − | 0.986350i | \(-0.552653\pi\) | ||||
−0.164662 | + | 0.986350i | \(0.552653\pi\) | |||||||
\(80\) | − | 2.41303e6i | − | 0.0589119i | ||||||
\(81\) | 1.16037e7 | + | 5.08391e7i | 0.269560 | + | 1.18102i | ||||
\(82\) | −1.95014e7 | + | 1.55519e7i | −0.431331 | + | 0.343975i | ||||
\(83\) | 4.73617e7 | − | 2.28082e7i | 0.997964 | − | 0.480594i | 0.137717 | − | 0.990472i | \(-0.456024\pi\) |
0.860247 | + | 0.509878i | \(0.170309\pi\) | |||||||
\(84\) | 2.48475e7 | + | 1.19659e7i | 0.499074 | + | 0.240341i | ||||
\(85\) | 4.26803e7i | 0.817621i | ||||||||
\(86\) | −1.84901e7 | + | 2.99799e7i | −0.338023 | + | 0.548071i | ||||
\(87\) | 1.32219e8 | 2.30791 | ||||||||
\(88\) | 3.16820e7 | − | 6.57883e7i | 0.528301 | − | 1.09703i | ||||
\(89\) | 5.91783e6 | + | 1.22885e7i | 0.0943197 | + | 0.195857i | 0.942791 | − | 0.333385i | \(-0.108191\pi\) |
−0.848471 | + | 0.529242i | \(0.822477\pi\) | |||||||
\(90\) | 1.50121e7 | + | 1.88245e7i | 0.228807 | + | 0.286915i | ||||
\(91\) | 4.80611e7 | − | 1.09696e7i | 0.700856 | − | 0.159966i | ||||
\(92\) | −6.85137e6 | −0.0956371 | ||||||||
\(93\) | − | 1.20320e8i | − | 1.60844i | ||||||
\(94\) | 3.34825e6 | − | 764217.i | 0.0428851 | − | 0.00978825i | ||||
\(95\) | −1.23626e7 | + | 1.55022e7i | −0.151780 | + | 0.190326i | ||||
\(96\) | −2.39889e7 | + | 1.05102e8i | −0.282439 | + | 1.23745i | ||||
\(97\) | 2.40915e7 | − | 3.02098e7i | 0.272130 | − | 0.341241i | −0.626922 | − | 0.779082i | \(-0.715685\pi\) |
0.899052 | + | 0.437842i | \(0.144257\pi\) | |||||||
\(98\) | 1.21671e7 | − | 2.52653e7i | 0.131912 | − | 0.273917i | ||||
\(99\) | 1.77569e7 | + | 7.77982e7i | 0.184853 | + | 0.809895i | ||||
\(100\) | −1.74274e7 | − | 8.39261e6i | −0.174274 | − | 0.0839261i | ||||
\(101\) | −1.02189e8 | − | 1.28141e8i | −0.982017 | − | 1.23141i | −0.972846 | − | 0.231453i | \(-0.925652\pi\) |
−0.00917121 | − | 0.999958i | \(-0.502919\pi\) | |||||||
\(102\) | −2.01856e7 | + | 8.84390e7i | −0.186484 | + | 0.817040i | ||||
\(103\) | 1.71960e7 | − | 7.53407e7i | 0.152784 | − | 0.669392i | −0.839284 | − | 0.543693i | \(-0.817026\pi\) |
0.992068 | − | 0.125699i | \(-0.0401174\pi\) | |||||||
\(104\) | 5.12706e7 | + | 1.06464e8i | 0.438263 | + | 0.910063i | ||||
\(105\) | 7.35862e7 | − | 5.86830e7i | 0.605395 | − | 0.482787i | ||||
\(106\) | 9.81230e6 | + | 7.82505e6i | 0.0777226 | + | 0.0619817i | ||||
\(107\) | 9.14622e7 | − | 4.40459e7i | 0.697761 | − | 0.336024i | −0.0511536 | − | 0.998691i | \(-0.516290\pi\) |
0.748914 | + | 0.662667i | \(0.230576\pi\) | |||||||
\(108\) | 1.36598e7 | + | 2.83649e7i | 0.100404 | + | 0.208491i | ||||
\(109\) | −2.72115e7 | + | 3.41221e7i | −0.192773 | + | 0.241730i | −0.868819 | − | 0.495130i | \(-0.835121\pi\) |
0.676046 | + | 0.736859i | \(0.263692\pi\) | |||||||
\(110\) | −5.73685e7 | − | 7.19378e7i | −0.391834 | − | 0.491345i | ||||
\(111\) | −2.98048e8 | + | 1.43532e8i | −1.96334 | + | 0.945492i | ||||
\(112\) | −8.02441e6 | − | 1.83152e6i | −0.0509966 | − | 0.0116396i | ||||
\(113\) | −1.50521e8 | − | 3.43555e7i | −0.923174 | − | 0.210709i | −0.265587 | − | 0.964087i | \(-0.585566\pi\) |
−0.657587 | + | 0.753378i | \(0.728423\pi\) | |||||||
\(114\) | −3.29486e7 | + | 2.62756e7i | −0.195082 | + | 0.155573i | ||||
\(115\) | −1.01452e7 | + | 2.10668e7i | −0.0580056 | + | 0.120450i | ||||
\(116\) | 1.83092e8 | − | 4.17896e7i | 1.01120 | − | 0.230800i | ||||
\(117\) | −1.16349e8 | − | 5.60308e7i | −0.620897 | − | 0.299008i | ||||
\(118\) | −4.84979e7 | − | 3.86758e7i | −0.250147 | − | 0.199485i | ||||
\(119\) | 1.41931e8 | + | 3.23949e7i | 0.707767 | + | 0.161543i | ||||
\(120\) | 1.76388e8 | + | 1.40665e8i | 0.850638 | + | 0.678361i | ||||
\(121\) | −2.01586e7 | − | 8.83207e7i | −0.0940415 | − | 0.412023i | ||||
\(122\) | −2.37441e8 | −1.07181 | ||||||||
\(123\) | − | 2.55421e8i | − | 1.11593i | ||||||
\(124\) | −3.80286e7 | − | 1.66614e8i | −0.160851 | − | 0.704735i | ||||
\(125\) | −2.07799e8 | + | 1.65714e8i | −0.851144 | + | 0.678765i | ||||
\(126\) | 7.39943e7 | − | 3.56338e7i | 0.293573 | − | 0.141377i | ||||
\(127\) | −3.77691e8 | − | 1.81886e8i | −1.45185 | − | 0.699174i | −0.468935 | − | 0.883233i | \(-0.655362\pi\) |
−0.982915 | + | 0.184058i | \(0.941076\pi\) | |||||||
\(128\) | 1.40679e8i | 0.524068i | ||||||||
\(129\) | −1.21968e8 | − | 3.39442e8i | −0.440441 | − | 1.22576i | ||||
\(130\) | 1.48902e8 | 0.521347 | ||||||||
\(131\) | 6.57803e7 | − | 1.36594e8i | 0.223363 | − | 0.463817i | −0.758930 | − | 0.651173i | \(-0.774277\pi\) |
0.982292 | + | 0.187355i | \(0.0599916\pi\) | |||||||
\(132\) | 1.19787e8 | + | 2.48741e8i | 0.394562 | + | 0.819316i | ||||
\(133\) | 4.21684e7 | + | 5.28774e7i | 0.134766 | + | 0.168991i | ||||
\(134\) | −8.93077e7 | + | 2.03839e7i | −0.276993 | + | 0.0632219i | ||||
\(135\) | 1.07444e8 | 0.323480 | ||||||||
\(136\) | 3.48963e8i | 1.02005i | ||||||||
\(137\) | 5.33431e7 | − | 1.21752e7i | 0.151425 | − | 0.0345617i | −0.146137 | − | 0.989264i | \(-0.546684\pi\) |
0.297561 | + | 0.954703i | \(0.403827\pi\) | |||||||
\(138\) | −3.09857e7 | + | 3.88548e7i | −0.0854368 | + | 0.107134i | ||||
\(139\) | 3.32920e7 | − | 1.45862e8i | 0.0891828 | − | 0.390735i | −0.910561 | − | 0.413375i | \(-0.864350\pi\) |
0.999744 | + | 0.0226396i | \(0.00720702\pi\) | |||||||
\(140\) | 8.33517e7 | − | 1.04520e8i | 0.216971 | − | 0.272073i | ||||
\(141\) | −1.52589e7 | + | 3.16854e7i | −0.0386053 | + | 0.0801646i | ||||
\(142\) | 1.00428e7 | + | 4.40004e7i | 0.0247003 | + | 0.108219i | ||||
\(143\) | 4.44627e8 | + | 2.14121e8i | 1.06329 | + | 0.512054i | ||||
\(144\) | 1.34432e7 | + | 1.68572e7i | 0.0312645 | + | 0.0392045i | ||||
\(145\) | 1.42619e8 | − | 6.24857e8i | 0.322631 | − | 1.41354i | ||||
\(146\) | −8.87676e6 | + | 3.88916e7i | −0.0195363 | + | 0.0855943i | ||||
\(147\) | 1.24592e8 | + | 2.58719e8i | 0.266822 | + | 0.554062i | ||||
\(148\) | −3.67360e8 | + | 2.92960e8i | −0.765676 | + | 0.610606i | ||||
\(149\) | −3.54253e8 | − | 2.82507e8i | −0.718734 | − | 0.573171i | 0.194355 | − | 0.980931i | \(-0.437739\pi\) |
−0.913089 | + | 0.407760i | \(0.866310\pi\) | |||||||
\(150\) | −1.26412e8 | + | 6.08767e7i | −0.249702 | + | 0.120250i | ||||
\(151\) | 3.46101e8 | + | 7.18685e8i | 0.665724 | + | 1.38239i | 0.910784 | + | 0.412883i | \(0.135478\pi\) |
−0.245060 | + | 0.969508i | \(0.578808\pi\) | |||||||
\(152\) | −1.01079e8 | + | 1.26749e8i | −0.189359 | + | 0.237449i | ||||
\(153\) | −2.37775e8 | − | 2.98161e8i | −0.433911 | − | 0.544107i | ||||
\(154\) | −2.82769e8 | + | 1.36174e8i | −0.502746 | + | 0.242110i | ||||
\(155\) | −5.68621e8 | − | 1.29784e8i | −0.985136 | − | 0.224851i | ||||
\(156\) | −4.35578e8 | − | 9.94178e7i | −0.735474 | − | 0.167867i | ||||
\(157\) | 3.93482e7 | − | 3.13792e7i | 0.0647629 | − | 0.0516467i | −0.590573 | − | 0.806984i | \(-0.701098\pi\) |
0.655336 | + | 0.755337i | \(0.272527\pi\) | |||||||
\(158\) | −5.73404e7 | + | 1.19069e8i | −0.0920095 | + | 0.191060i | ||||
\(159\) | −1.25295e8 | + | 2.85978e7i | −0.196040 | + | 0.0447449i | ||||
\(160\) | 4.70827e8 | + | 2.26738e8i | 0.718425 | + | 0.345975i | ||||
\(161\) | 6.23561e7 | + | 4.97274e7i | 0.0928059 | + | 0.0740102i | ||||
\(162\) | 5.23786e8 | + | 1.19551e8i | 0.760491 | + | 0.173577i | ||||
\(163\) | −2.03066e8 | − | 1.61940e8i | −0.287665 | − | 0.229405i | 0.469015 | − | 0.883190i | \(-0.344609\pi\) |
−0.756681 | + | 0.653785i | \(0.773180\pi\) | |||||||
\(164\) | −8.07291e7 | − | 3.53697e8i | −0.111598 | − | 0.488941i | ||||
\(165\) | 9.42210e8 | 1.27119 | ||||||||
\(166\) | − | 5.41594e8i | − | 0.713249i | ||||||
\(167\) | 3.30362e8 | + | 1.44741e9i | 0.424741 | + | 1.86091i | 0.503467 | + | 0.864014i | \(0.332057\pi\) |
−0.0787265 | + | 0.996896i | \(0.525085\pi\) | |||||||
\(168\) | 6.01655e8 | − | 4.79804e8i | 0.755284 | − | 0.602319i | ||||
\(169\) | 1.54126e7 | − | 7.42230e6i | 0.0188942 | − | 0.00909896i | ||||
\(170\) | 3.96181e8 | + | 1.90791e8i | 0.474349 | + | 0.228434i | ||||
\(171\) | − | 1.77169e8i | − | 0.207207i | ||||||
\(172\) | −2.76182e8 | − | 4.31496e8i | −0.315559 | − | 0.493018i | ||||
\(173\) | 2.79469e8 | 0.311996 | 0.155998 | − | 0.987757i | \(-0.450141\pi\) | ||||
0.155998 | + | 0.987757i | \(0.450141\pi\) | |||||||
\(174\) | 5.91051e8 | − | 1.22733e9i | 0.644804 | − | 1.33895i | ||||
\(175\) | 9.76979e7 | + | 2.02872e8i | 0.104168 | + | 0.216307i | ||||
\(176\) | −5.13730e7 | − | 6.44197e7i | −0.0535407 | − | 0.0671379i | ||||
\(177\) | 6.19279e8 | − | 1.41346e8i | 0.630947 | − | 0.144010i | ||||
\(178\) | 1.40522e8 | 0.139980 | ||||||||
\(179\) | 1.60353e9i | 1.56194i | 0.624569 | + | 0.780970i | \(0.285275\pi\) | ||||
−0.624569 | + | 0.780970i | \(0.714725\pi\) | |||||||
\(180\) | −3.41420e8 | + | 7.79269e7i | −0.325236 | + | 0.0742331i | ||||
\(181\) | 6.47914e8 | − | 8.12458e8i | 0.603674 | − | 0.756984i | −0.382271 | − | 0.924050i | \(-0.624858\pi\) |
0.985946 | + | 0.167066i | \(0.0534294\pi\) | |||||||
\(182\) | 1.13018e8 | − | 4.95165e8i | 0.103006 | − | 0.451299i | ||||
\(183\) | 1.51596e9 | − | 1.90096e9i | 1.35171 | − | 1.69499i | ||||
\(184\) | −8.29493e7 | + | 1.72246e8i | −0.0723671 | + | 0.150272i | ||||
\(185\) | 3.56829e8 | + | 1.56337e9i | 0.304630 | + | 1.33467i | ||||
\(186\) | −1.11687e9 | − | 5.37858e8i | −0.933151 | − | 0.449382i | ||||
\(187\) | 9.08656e8 | + | 1.13942e9i | 0.743076 | + | 0.931787i | ||||
\(188\) | −1.11153e7 | + | 4.86994e7i | −0.00889797 | + | 0.0389846i | ||||
\(189\) | 8.15514e7 | − | 3.57300e8i | 0.0639122 | − | 0.280018i | ||||
\(190\) | 8.86358e7 | + | 1.84054e8i | 0.0680134 | + | 0.141231i | ||||
\(191\) | −5.40867e8 | + | 4.31327e8i | −0.406403 | + | 0.324095i | −0.805265 | − | 0.592916i | \(-0.797977\pi\) |
0.398862 | + | 0.917011i | \(0.369405\pi\) | |||||||
\(192\) | 9.68011e8 | + | 7.71963e8i | 0.712320 | + | 0.568056i | ||||
\(193\) | −1.27434e9 | + | 6.13690e8i | −0.918451 | + | 0.442303i | −0.832518 | − | 0.553998i | \(-0.813102\pi\) |
−0.0859334 | + | 0.996301i | \(0.527387\pi\) | |||||||
\(194\) | −1.72729e8 | − | 3.58674e8i | −0.121943 | − | 0.253217i | ||||
\(195\) | −9.50677e8 | + | 1.19211e9i | −0.657498 | + | 0.824477i | ||||
\(196\) | 2.54302e8 | + | 3.18884e8i | 0.172316 | + | 0.216077i | ||||
\(197\) | −2.10108e9 | + | 1.01183e9i | −1.39501 | + | 0.671802i | −0.972143 | − | 0.234389i | \(-0.924691\pi\) |
−0.422869 | + | 0.906191i | \(0.638977\pi\) | |||||||
\(198\) | 8.01541e8 | + | 1.82946e8i | 0.521513 | + | 0.119032i | ||||
\(199\) | 6.38828e7 | + | 1.45808e7i | 0.0407354 | + | 0.00929759i | 0.242840 | − | 0.970066i | \(-0.421921\pi\) |
−0.202105 | + | 0.979364i | \(0.564778\pi\) | |||||||
\(200\) | −4.21986e8 | + | 3.36523e8i | −0.263742 | + | 0.210327i | ||||
\(201\) | 4.06999e8 | − | 8.45142e8i | 0.249350 | − | 0.517780i | ||||
\(202\) | −1.64628e9 | + | 3.75753e8i | −0.988777 | + | 0.225682i | ||||
\(203\) | −1.96968e9 | − | 9.48547e8i | −1.15988 | − | 0.558566i | ||||
\(204\) | −1.03155e9 | − | 8.22634e8i | −0.595621 | − | 0.474992i | ||||
\(205\) | −1.20710e9 | − | 2.75512e8i | −0.683481 | − | 0.156000i | ||||
\(206\) | −6.22481e8 | − | 4.96412e8i | −0.345667 | − | 0.275660i | ||||
\(207\) | −4.64909e7 | − | 2.03690e8i | −0.0253214 | − | 0.110940i | ||||
\(208\) | 1.33340e8 | 0.0712374 | ||||||||
\(209\) | 6.77052e8i | 0.354843i | ||||||||
\(210\) | −2.15779e8 | − | 9.45392e8i | −0.110951 | − | 0.486110i | ||||
\(211\) | 1.84842e9 | − | 1.47407e9i | 0.932548 | − | 0.743682i | −0.0341992 | − | 0.999415i | \(-0.510888\pi\) |
0.966748 | + | 0.255733i | \(0.0823166\pi\) | |||||||
\(212\) | −1.64465e8 | + | 7.92021e7i | −0.0814198 | + | 0.0392097i | ||||
\(213\) | −4.16387e8 | − | 2.00522e8i | −0.202292 | − | 0.0974188i | ||||
\(214\) | − | 1.04589e9i | − | 0.498693i | ||||||
\(215\) | −1.73573e9 | + | 2.10269e8i | −0.812323 | + | 0.0984060i | ||||
\(216\) | 8.78484e8 | 0.403570 | ||||||||
\(217\) | −8.63180e8 | + | 1.79241e9i | −0.389280 | + | 0.808349i | ||||
\(218\) | 1.95098e8 | + | 4.05125e8i | 0.0863827 | + | 0.179375i | ||||
\(219\) | −2.54693e8 | − | 3.19375e8i | −0.110724 | − | 0.138843i | ||||
\(220\) | 1.30473e9 | − | 2.97797e8i | 0.556970 | − | 0.127125i | ||||
\(221\) | −2.35845e9 | −0.988683 | ||||||||
\(222\) | 3.40826e9i | 1.40320i | ||||||||
\(223\) | 3.33183e9 | − | 7.60469e8i | 1.34730 | − | 0.307512i | 0.512793 | − | 0.858512i | \(-0.328611\pi\) |
0.834505 | + | 0.551000i | \(0.185754\pi\) | |||||||
\(224\) | 1.11137e9 | − | 1.39361e9i | 0.441435 | − | 0.553542i | ||||
\(225\) | 1.31255e8 | − | 5.75064e8i | 0.0512135 | − | 0.224381i | ||||
\(226\) | −9.91769e8 | + | 1.24364e9i | −0.380169 | + | 0.476717i | ||||
\(227\) | −8.29421e8 | + | 1.72231e9i | −0.312372 | + | 0.648646i | −0.996757 | − | 0.0804745i | \(-0.974356\pi\) |
0.684385 | + | 0.729121i | \(0.260071\pi\) | |||||||
\(228\) | −1.36395e8 | − | 5.97588e8i | −0.0504732 | − | 0.221137i | ||||
\(229\) | 6.92971e8 | + | 3.33717e8i | 0.251984 | + | 0.121349i | 0.555612 | − | 0.831441i | \(-0.312484\pi\) |
−0.303628 | + | 0.952791i | \(0.598198\pi\) | |||||||
\(230\) | 1.50201e8 | + | 1.88346e8i | 0.0536738 | + | 0.0673048i | ||||
\(231\) | 7.15149e8 | − | 3.13327e9i | 0.251159 | − | 1.10040i | ||||
\(232\) | 1.16608e9 | − | 5.10895e9i | 0.402511 | − | 1.76352i | ||||
\(233\) | −1.05470e9 | − | 2.19010e9i | −0.357852 | − | 0.743088i | 0.641866 | − | 0.766817i | \(-0.278161\pi\) |
−0.999718 | + | 0.0237287i | \(0.992446\pi\) | |||||||
\(234\) | −1.04021e9 | + | 8.29543e8i | −0.346944 | + | 0.276678i | ||||
\(235\) | 1.33283e8 | + | 1.06290e8i | 0.0437022 | + | 0.0348514i | ||||
\(236\) | 8.12878e8 | − | 3.91462e8i | 0.262046 | − | 0.126195i | ||||
\(237\) | −5.87171e8 | − | 1.21927e9i | −0.186111 | − | 0.386463i | ||||
\(238\) | 9.35171e8 | − | 1.17267e9i | 0.291463 | − | 0.365483i | ||||
\(239\) | −3.14061e9 | − | 3.93820e9i | −0.962547 | − | 1.20700i | −0.978315 | − | 0.207120i | \(-0.933591\pi\) |
0.0157681 | − | 0.999876i | \(-0.494981\pi\) | |||||||
\(240\) | 2.29368e8 | − | 1.10458e8i | 0.0691334 | − | 0.0332929i | ||||
\(241\) | 5.04569e9 | + | 1.15165e9i | 1.49573 | + | 0.341390i | 0.890618 | − | 0.454752i | \(-0.150272\pi\) |
0.605110 | + | 0.796142i | \(0.293129\pi\) | |||||||
\(242\) | −9.09953e8 | − | 2.07691e8i | −0.265312 | − | 0.0605558i | ||||
\(243\) | −3.22360e9 | + | 2.57074e9i | −0.924519 | + | 0.737280i | ||||
\(244\) | 1.49842e9 | − | 3.11151e9i | 0.422742 | − | 0.877833i | ||||
\(245\) | 1.35707e9 | − | 3.09743e8i | 0.376650 | − | 0.0859680i | ||||
\(246\) | −2.37095e9 | − | 1.14179e9i | −0.647415 | − | 0.311779i | ||||
\(247\) | −8.56626e8 | − | 6.83136e8i | −0.230146 | − | 0.183535i | ||||
\(248\) | −4.64915e9 | − | 1.06114e9i | −1.22904 | − | 0.280521i | ||||
\(249\) | 4.33601e9 | + | 3.45786e9i | 1.12796 | + | 0.899517i | ||||
\(250\) | 6.09337e8 | + | 2.66968e9i | 0.155990 | + | 0.683438i | ||||
\(251\) | −1.45337e9 | −0.366168 | −0.183084 | − | 0.983097i | \(-0.558608\pi\) | ||||
−0.183084 | + | 0.983097i | \(0.558608\pi\) | |||||||
\(252\) | 1.19452e9i | 0.296205i | ||||||||
\(253\) | 1.77665e8 | + | 7.78400e8i | 0.0433630 | + | 0.189986i | ||||
\(254\) | −3.37673e9 | + | 2.69285e9i | −0.811263 | + | 0.646960i | ||||
\(255\) | −4.05693e9 | + | 1.95371e9i | −0.959482 | + | 0.462062i | ||||
\(256\) | 4.01265e9 | + | 1.93239e9i | 0.934269 | + | 0.449920i | ||||
\(257\) | 3.87974e9i | 0.889344i | 0.895694 | + | 0.444672i | \(0.146680\pi\) | ||||
−0.895694 | + | 0.444672i | \(0.853320\pi\) | |||||||
\(258\) | −3.69610e9 | − | 3.85210e8i | −0.834191 | − | 0.0869397i | ||||
\(259\) | 5.46974e9 | 1.21554 | ||||||||
\(260\) | −9.39678e8 | + | 1.95126e9i | −0.205630 | + | 0.426994i | ||||
\(261\) | 2.48480e9 | + | 5.15973e9i | 0.535462 | + | 1.11190i | ||||
\(262\) | −9.73886e8 | − | 1.22121e9i | −0.206682 | − | 0.259171i | ||||
\(263\) | 8.65614e9 | − | 1.97571e9i | 1.80926 | − | 0.412952i | 0.821665 | − | 0.569971i | \(-0.193046\pi\) |
0.987596 | + | 0.157019i | \(0.0501884\pi\) | |||||||
\(264\) | 7.70369e9 | 1.58593 | ||||||||
\(265\) | 6.22980e8i | 0.126325i | ||||||||
\(266\) | 6.79338e8 | − | 1.55054e8i | 0.135694 | − | 0.0309712i | ||||
\(267\) | −8.97177e8 | + | 1.12502e9i | −0.176536 | + | 0.221369i | ||||
\(268\) | 2.96478e8 | − | 1.29896e9i | 0.0574717 | − | 0.251800i | ||||
\(269\) | −2.74702e9 | + | 3.44465e9i | −0.524629 | + | 0.657864i | −0.971585 | − | 0.236692i | \(-0.923937\pi\) |
0.446955 | + | 0.894556i | \(0.352508\pi\) | |||||||
\(270\) | 4.80299e8 | − | 9.97352e8i | 0.0903768 | − | 0.187669i | ||||
\(271\) | 6.73491e8 | + | 2.95076e9i | 0.124869 | + | 0.547087i | 0.998201 | + | 0.0599610i | \(0.0190976\pi\) |
−0.873332 | + | 0.487126i | \(0.838045\pi\) | |||||||
\(272\) | 3.54777e8 | + | 1.70852e8i | 0.0648156 | + | 0.0312136i | ||||
\(273\) | 3.24273e9 | + | 4.06626e9i | 0.583795 | + | 0.732056i | ||||
\(274\) | 1.25439e8 | − | 5.49585e8i | 0.0222552 | − | 0.0975062i | ||||
\(275\) | −5.01588e8 | + | 2.19760e9i | −0.0877035 | + | 0.384254i | ||||
\(276\) | −3.13625e8 | − | 6.51250e8i | −0.0540474 | − | 0.112231i | ||||
\(277\) | −5.84083e9 | + | 4.65790e9i | −0.992100 | + | 0.791173i | −0.977974 | − | 0.208727i | \(-0.933068\pi\) |
−0.0141256 | + | 0.999900i | \(0.504496\pi\) | |||||||
\(278\) | −1.20514e9 | − | 9.61070e8i | −0.201771 | − | 0.160907i | ||||
\(279\) | 4.69537e9 | − | 2.26117e9i | 0.774913 | − | 0.373178i | ||||
\(280\) | −1.61853e9 | − | 3.36091e9i | −0.263322 | − | 0.546795i | ||||
\(281\) | −9.10646e8 | + | 1.14191e9i | −0.146058 | + | 0.183151i | −0.849479 | − | 0.527623i | \(-0.823083\pi\) |
0.703421 | + | 0.710773i | \(0.251655\pi\) | |||||||
\(282\) | 2.25910e8 | + | 2.83282e8i | 0.0357222 | + | 0.0447943i | ||||
\(283\) | 1.06199e10 | − | 5.11425e9i | 1.65567 | − | 0.797327i | 0.656595 | − | 0.754243i | \(-0.271996\pi\) |
0.999071 | − | 0.0430839i | \(-0.0137183\pi\) | |||||||
\(284\) | −6.39974e8 | − | 1.46070e8i | −0.0983760 | − | 0.0224537i | ||||
\(285\) | −2.03945e9 | − | 4.65490e8i | −0.309124 | − | 0.0705555i | ||||
\(286\) | 3.97517e9 | − | 3.17009e9i | 0.594144 | − | 0.473814i | ||||
\(287\) | −1.83240e9 | + | 3.80502e9i | −0.270080 | + | 0.560828i | ||||
\(288\) | −4.55233e9 | + | 1.03904e9i | −0.661704 | + | 0.151030i | ||||
\(289\) | 9.84917e6 | + | 4.74311e6i | 0.00141191 | + | 0.000679942i | ||||
\(290\) | −5.16270e9 | − | 4.11712e9i | −0.729937 | − | 0.582105i | ||||
\(291\) | 3.97436e9 | + | 9.07121e8i | 0.554236 | + | 0.126501i | ||||
\(292\) | −4.53631e8 | − | 3.61759e8i | −0.0623981 | − | 0.0497608i | ||||
\(293\) | −3.17226e9 | − | 1.38986e10i | −0.430426 | − | 1.88582i | −0.463015 | − | 0.886350i | \(-0.653232\pi\) |
0.0325891 | − | 0.999469i | \(-0.489625\pi\) | |||||||
\(294\) | 2.95852e9 | 0.395990 | ||||||||
\(295\) | − | 3.07912e9i | − | 0.406573i | ||||||
\(296\) | 2.91750e9 | + | 1.27824e10i | 0.380053 | + | 1.66512i | ||||
\(297\) | 2.86839e9 | − | 2.28746e9i | 0.368648 | − | 0.293987i | ||||
\(298\) | −4.20597e9 | + | 2.02549e9i | −0.533336 | + | 0.256841i | ||||
\(299\) | −1.16412e9 | − | 5.60609e8i | −0.145650 | − | 0.0701416i | ||||
\(300\) | − | 2.04072e9i | − | 0.251941i | ||||||
\(301\) | −6.18203e8 | + | 5.93169e9i | −0.0753122 | + | 0.722624i | ||||
\(302\) | 8.21836e9 | 0.988001 | ||||||||
\(303\) | 7.50255e9 | − | 1.55792e10i | 0.890099 | − | 1.84831i | ||||
\(304\) | 7.93726e7 | + | 1.64819e8i | 0.00929344 | + | 0.0192980i | ||||
\(305\) | −7.34854e9 | − | 9.21478e9i | −0.849184 | − | 1.06484i | ||||
\(306\) | −3.83059e9 | + | 8.74307e8i | −0.436898 | + | 0.0997191i | ||||
\(307\) | 2.96360e7 | 0.00333631 | 0.00166815 | − | 0.999999i | \(-0.499469\pi\) | ||||
0.00166815 | + | 0.999999i | \(0.499469\pi\) | |||||||
\(308\) | − | 4.56486e9i | − | 0.507253i | ||||||
\(309\) | 7.94858e9 | − | 1.81421e9i | 0.871878 | − | 0.199000i | ||||
\(310\) | −3.74659e9 | + | 4.69807e9i | −0.405685 | + | 0.508713i | ||||
\(311\) | 7.70255e8 | − | 3.37471e9i | 0.0823366 | − | 0.360740i | −0.916929 | − | 0.399050i | \(-0.869340\pi\) |
0.999266 | + | 0.0383095i | \(0.0121973\pi\) | |||||||
\(312\) | −7.77292e9 | + | 9.74694e9i | −0.820287 | + | 1.02861i | ||||
\(313\) | −6.78201e9 | + | 1.40830e10i | −0.706612 | + | 1.46730i | 0.169672 | + | 0.985501i | \(0.445729\pi\) |
−0.876284 | + | 0.481795i | \(0.839985\pi\) | |||||||
\(314\) | −1.15382e8 | − | 5.05523e8i | −0.0118692 | − | 0.0520022i | ||||
\(315\) | 3.67295e9 | + | 1.76880e9i | 0.373055 | + | 0.179654i | ||||
\(316\) | −1.19846e9 | − | 1.50282e9i | −0.120192 | − | 0.150716i | ||||
\(317\) | −2.18168e9 | + | 9.55857e9i | −0.216050 | + | 0.946576i | 0.744315 | + | 0.667829i | \(0.232776\pi\) |
−0.960364 | + | 0.278747i | \(0.910081\pi\) | |||||||
\(318\) | −2.94638e8 | + | 1.29089e9i | −0.0288124 | + | 0.126236i | ||||
\(319\) | −9.49563e9 | − | 1.97179e10i | −0.916982 | − | 1.90413i | ||||
\(320\) | 4.69237e9 | − | 3.74204e9i | 0.447500 | − | 0.356869i | ||||
\(321\) | 8.37346e9 | + | 6.67761e9i | 0.788651 | + | 0.628928i | ||||
\(322\) | 7.40341e8 | − | 3.56530e8i | 0.0688666 | − | 0.0331644i | ||||
\(323\) | −1.40390e9 | − | 2.91522e9i | −0.128981 | − | 0.267832i | ||||
\(324\) | −4.87211e9 | + | 6.10943e9i | −0.442117 | + | 0.554397i | ||||
\(325\) | −2.27438e9 | − | 2.85198e9i | −0.203858 | − | 0.255630i | ||||
\(326\) | −2.41096e9 | + | 1.16106e9i | −0.213462 | + | 0.102798i | ||||
\(327\) | −4.48906e9 | − | 1.02460e9i | −0.392613 | − | 0.0896113i | ||||
\(328\) | −9.86946e9 | − | 2.25264e9i | −0.852703 | − | 0.194624i | ||||
\(329\) | 4.54625e8 | − | 3.62551e8i | 0.0388034 | − | 0.0309446i | ||||
\(330\) | 4.21189e9 | − | 8.74608e9i | 0.355158 | − | 0.737493i | ||||
\(331\) | −1.92657e10 | + | 4.39726e9i | −1.60499 | + | 0.366328i | −0.928853 | − | 0.370449i | \(-0.879204\pi\) |
−0.676135 | + | 0.736777i | \(0.736347\pi\) | |||||||
\(332\) | 7.09724e9 | + | 3.41785e9i | 0.584167 | + | 0.281320i | ||||
\(333\) | −1.12024e10 | − | 8.93363e9i | −0.911034 | − | 0.726526i | ||||
\(334\) | 1.49124e10 | + | 3.40366e9i | 1.19829 | + | 0.273502i | ||||
\(335\) | −3.55505e9 | − | 2.83506e9i | −0.282271 | − | 0.225104i | ||||
\(336\) | −1.93229e8 | − | 8.46590e8i | −0.0151605 | − | 0.0664227i | ||||
\(337\) | −1.20558e10 | −0.934710 | −0.467355 | − | 0.884070i | \(-0.654793\pi\) | ||||
−0.467355 | + | 0.884070i | \(0.654793\pi\) | |||||||
\(338\) | − | 1.76247e8i | − | 0.0135038i | ||||||
\(339\) | −3.62457e9 | − | 1.58803e10i | −0.274446 | − | 1.20243i | ||||
\(340\) | −5.00038e9 | + | 3.98767e9i | −0.374186 | + | 0.298403i | ||||
\(341\) | −1.79433e10 | + | 8.64104e9i | −1.32704 | + | 0.639070i | ||||
\(342\) | −1.64458e9 | − | 7.91988e8i | −0.120213 | − | 0.0578914i | ||||
\(343\) | − | 1.48042e10i | − | 1.06957i | ||||||
\(344\) | −1.41917e10 | + | 1.71920e9i | −1.01345 | + | 0.122770i | ||||
\(345\) | −2.46688e9 | −0.174129 | ||||||||
\(346\) | 1.24929e9 | − | 2.59418e9i | 0.0871684 | − | 0.181007i | ||||
\(347\) | 6.83732e9 | + | 1.41978e10i | 0.471594 | + | 0.979274i | 0.992104 | + | 0.125419i | \(0.0400275\pi\) |
−0.520510 | + | 0.853855i | \(0.674258\pi\) | |||||||
\(348\) | 1.23534e10 | + | 1.54907e10i | 0.842306 | + | 1.05622i | ||||
\(349\) | 2.33134e10 | − | 5.32114e9i | 1.57146 | − | 0.358676i | 0.654000 | − | 0.756495i | \(-0.273090\pi\) |
0.917464 | + | 0.397818i | \(0.130232\pi\) | |||||||
\(350\) | 2.31989e9 | 0.154595 | ||||||||
\(351\) | 5.93719e9i | 0.391158i | ||||||||
\(352\) | 1.73967e10 | − | 3.97068e9i | 1.13317 | − | 0.258639i | ||||
\(353\) | −1.69400e10 | + | 2.12421e10i | −1.09098 | + | 1.36804i | −0.166837 | + | 0.985984i | \(0.553355\pi\) |
−0.924139 | + | 0.382056i | \(0.875216\pi\) | |||||||
\(354\) | 1.45627e9 | − | 6.38032e9i | 0.0927316 | − | 0.406284i | ||||
\(355\) | −1.39679e9 | + | 1.75151e9i | −0.0879460 | + | 0.110281i | ||||
\(356\) | −8.86797e8 | + | 1.84145e9i | −0.0552108 | + | 0.114647i | ||||
\(357\) | 3.41772e9 | + | 1.49740e10i | 0.210409 | + | 0.921861i | ||||
\(358\) | 1.48848e10 | + | 7.16813e9i | 0.906171 | + | 0.436389i | ||||
\(359\) | −1.07206e10 | − | 1.34432e10i | −0.645416 | − | 0.809327i | 0.346252 | − | 0.938141i | \(-0.387454\pi\) |
−0.991669 | + | 0.128815i | \(0.958883\pi\) | |||||||
\(360\) | −2.17445e9 | + | 9.52688e9i | −0.129461 | + | 0.567206i | ||||
\(361\) | −3.44471e9 | + | 1.50922e10i | −0.202826 | + | 0.888639i | ||||
\(362\) | −4.64534e9 | − | 9.64614e9i | −0.270510 | − | 0.561719i | ||||
\(363\) | 7.47246e9 | − | 5.95908e9i | 0.430365 | − | 0.343205i | ||||
\(364\) | 5.77560e9 | + | 4.60588e9i | 0.328997 | + | 0.262366i | ||||
\(365\) | −1.78406e9 | + | 8.59158e8i | −0.100517 | + | 0.0484063i | ||||
\(366\) | −1.08690e10 | − | 2.25697e10i | −0.605710 | − | 1.25777i | ||||
\(367\) | 1.10322e10 | − | 1.38339e10i | 0.608132 | − | 0.762573i | −0.378489 | − | 0.925606i | \(-0.623556\pi\) |
0.986621 | + | 0.163033i | \(0.0521276\pi\) | |||||||
\(368\) | 1.34504e8 | + | 1.68663e8i | 0.00733405 | + | 0.00919661i | ||||
\(369\) | 9.96756e9 | − | 4.80012e9i | 0.537630 | − | 0.258909i | ||||
\(370\) | 1.61071e10 | + | 3.67634e9i | 0.859431 | + | 0.196159i | ||||
\(371\) | 2.07169e9 | + | 4.72849e8i | 0.109352 | + | 0.0249590i | ||||
\(372\) | 1.40966e10 | − | 1.12416e10i | 0.736108 | − | 0.587026i | ||||
\(373\) | −6.19920e9 | + | 1.28728e10i | −0.320258 | + | 0.665024i | −0.997495 | − | 0.0707422i | \(-0.977463\pi\) |
0.677236 | + | 0.735766i | \(0.263178\pi\) | |||||||
\(374\) | 1.46386e10 | − | 3.34116e9i | 0.748191 | − | 0.170770i | ||||
\(375\) | −2.52639e10 | − | 1.21664e10i | −1.27754 | − | 0.615231i | ||||
\(376\) | 1.08975e9 | + | 8.69046e8i | 0.0545224 | + | 0.0434802i | ||||
\(377\) | 3.45286e10 | + | 7.88093e9i | 1.70928 | + | 0.390132i | ||||
\(378\) | −2.95209e9 | − | 2.35421e9i | −0.144598 | − | 0.115313i | ||||
\(379\) | 4.19756e9 | + | 1.83907e10i | 0.203442 | + | 0.891336i | 0.968822 | + | 0.247758i | \(0.0796937\pi\) |
−0.765380 | + | 0.643578i | \(0.777449\pi\) | |||||||
\(380\) | −2.97127e9 | −0.142497 | ||||||||
\(381\) | − | 4.42270e10i | − | 2.09888i | ||||||
\(382\) | 1.58600e9 | + | 6.94873e9i | 0.0744819 | + | 0.326326i | ||||
\(383\) | 2.41510e9 | − | 1.92598e9i | 0.112238 | − | 0.0895069i | −0.565762 | − | 0.824568i | \(-0.691418\pi\) |
0.678001 | + | 0.735061i | \(0.262847\pi\) | |||||||
\(384\) | −1.33720e10 | + | 6.43963e9i | −0.614997 | + | 0.296167i | ||||
\(385\) | −1.40361e10 | − | 6.75945e9i | −0.638859 | − | 0.307658i | ||||
\(386\) | 1.45724e10i | 0.656421i | ||||||||
\(387\) | 1.09542e10 | − | 1.11388e10i | 0.488358 | − | 0.496587i | ||||
\(388\) | 5.79024e9 | 0.255487 | ||||||||
\(389\) | −1.26404e10 | + | 2.62480e10i | −0.552028 | + | 1.14630i | 0.419144 | + | 0.907920i | \(0.362330\pi\) |
−0.971172 | + | 0.238379i | \(0.923384\pi\) | |||||||
\(390\) | 6.81606e9 | + | 1.41537e10i | 0.294629 | + | 0.611803i | ||||
\(391\) | −2.37903e9 | − | 2.98321e9i | −0.101787 | − | 0.127637i | ||||
\(392\) | 1.10957e10 | − | 2.53252e9i | 0.469905 | − | 0.107253i | ||||
\(393\) | 1.59949e10 | 0.670521 | ||||||||
\(394\) | 2.40264e10i | 0.997021i | ||||||||
\(395\) | −6.39553e9 | + | 1.45974e9i | −0.262717 | + | 0.0599634i | ||||
\(396\) | −7.45570e9 | + | 9.34915e9i | −0.303185 | + | 0.380182i | ||||
\(397\) | 6.80530e9 | − | 2.98160e10i | 0.273959 | − | 1.20029i | −0.631336 | − | 0.775509i | \(-0.717493\pi\) |
0.905295 | − | 0.424783i | \(-0.139650\pi\) | |||||||
\(398\) | 4.20918e8 | − | 5.27814e8i | 0.0167751 | − | 0.0210353i | ||||
\(399\) | −3.09593e9 | + | 6.42876e9i | −0.122152 | + | 0.253650i | ||||
\(400\) | 1.35526e8 | + | 5.93779e8i | 0.00529399 | + | 0.0231945i | ||||
\(401\) | 4.00666e9 | + | 1.92951e9i | 0.154955 | + | 0.0746223i | 0.509754 | − | 0.860320i | \(-0.329736\pi\) |
−0.354799 | + | 0.934943i | \(0.615451\pi\) | |||||||
\(402\) | −6.02567e9 | − | 7.55596e9i | −0.230729 | − | 0.289324i | ||||
\(403\) | 7.17166e9 | − | 3.14211e10i | 0.271894 | − | 1.19125i | ||||
\(404\) | 5.46523e9 | − | 2.39447e10i | 0.205155 | − | 0.898844i | ||||
\(405\) | 1.15710e10 | + | 2.40274e10i | 0.430082 | + | 0.893074i | ||||
\(406\) | −1.76098e10 | + | 1.40434e10i | −0.648113 | + | 0.516853i | ||||
\(407\) | 4.28099e10 | + | 3.41398e10i | 1.56015 | + | 1.24418i | ||||
\(408\) | −3.31702e10 | + | 1.59739e10i | −1.19704 | + | 0.576463i | ||||
\(409\) | −7.71469e9 | − | 1.60197e10i | −0.275693 | − | 0.572482i | 0.716443 | − | 0.697645i | \(-0.245769\pi\) |
−0.992136 | + | 0.125163i | \(0.960054\pi\) | |||||||
\(410\) | −7.95344e9 | + | 9.97330e9i | −0.281462 | + | 0.352942i | ||||
\(411\) | 3.59911e9 | + | 4.51314e9i | 0.126133 | + | 0.158166i | ||||
\(412\) | 1.04335e10 | − | 5.02450e9i | 0.362110 | − | 0.174383i | ||||
\(413\) | −1.02394e10 | − | 2.33709e9i | −0.351946 | − | 0.0803294i | ||||
\(414\) | −2.09858e9 | − | 4.78988e8i | −0.0714373 | − | 0.0163051i | ||||
\(415\) | 2.10186e10 | − | 1.67617e10i | 0.708616 | − | 0.565102i | ||||
\(416\) | −1.25292e10 | + | 2.60172e10i | −0.418360 | + | 0.868734i | ||||
\(417\) | 1.53887e10 | − | 3.51237e9i | 0.508930 | − | 0.116160i | ||||
\(418\) | 6.28475e9 | + | 3.02658e9i | 0.205865 | + | 0.0991394i | ||||
\(419\) | −5.82296e9 | − | 4.64366e9i | −0.188924 | − | 0.150662i | 0.524460 | − | 0.851435i | \(-0.324267\pi\) |
−0.713384 | + | 0.700773i | \(0.752839\pi\) | |||||||
\(420\) | 1.37505e10 | + | 3.13846e9i | 0.441896 | + | 0.100860i | ||||
\(421\) | −3.67423e10 | − | 2.93010e10i | −1.16960 | − | 0.932726i | −0.170983 | − | 0.985274i | \(-0.554694\pi\) |
−0.998618 | + | 0.0525475i | \(0.983266\pi\) | |||||||
\(422\) | −5.42020e9 | − | 2.37474e10i | −0.170909 | − | 0.748802i | ||||
\(423\) | −1.52325e9 | −0.0475784 | ||||||||
\(424\) | 5.09360e9i | 0.157602i | ||||||||
\(425\) | −2.39711e9 | − | 1.05024e10i | −0.0734737 | − | 0.321909i | ||||
\(426\) | −3.72269e9 | + | 2.96875e9i | −0.113037 | + | 0.0901436i | ||||
\(427\) | −3.62209e10 | + | 1.74431e10i | −1.08955 | + | 0.524700i | ||||
\(428\) | 1.37058e10 | + | 6.60035e9i | 0.408440 | + | 0.196694i | ||||
\(429\) | 5.20650e10i | 1.53715i | ||||||||
\(430\) | −5.80729e9 | + | 1.70519e10i | −0.169863 | + | 0.498769i | ||||
\(431\) | 5.16650e10 | 1.49723 | 0.748614 | − | 0.663006i | \(-0.230720\pi\) | ||||
0.748614 | + | 0.663006i | \(0.230720\pi\) | |||||||
\(432\) | 4.30104e8 | − | 8.93121e8i | 0.0123492 | − | 0.0256434i | ||||
\(433\) | −2.62302e10 | − | 5.44676e10i | −0.746192 | − | 1.54948i | −0.833009 | − | 0.553259i | \(-0.813384\pi\) |
0.0868176 | − | 0.996224i | \(-0.472330\pi\) | |||||||
\(434\) | 1.27795e10 | + | 1.60250e10i | 0.360209 | + | 0.451688i | ||||
\(435\) | 6.59235e10 | − | 1.50466e10i | 1.84113 | − | 0.420225i | ||||
\(436\) | −6.54011e9 | −0.180984 | ||||||||
\(437\) | − | 1.77265e9i | − | 0.0486068i | ||||||
\(438\) | −4.10314e9 | + | 9.36514e8i | −0.111486 | + | 0.0254459i | ||||
\(439\) | −2.54162e10 | + | 3.18709e10i | −0.684309 | + | 0.858097i | −0.995743 | − | 0.0921710i | \(-0.970619\pi\) |
0.311434 | + | 0.950268i | \(0.399191\pi\) | |||||||
\(440\) | 8.30964e9 | − | 3.64069e10i | 0.221703 | − | 0.971344i | ||||
\(441\) | −7.75477e9 | + | 9.72418e9i | −0.205029 | + | 0.257098i | ||||
\(442\) | −1.05428e10 | + | 2.18923e10i | −0.276227 | + | 0.573592i | ||||
\(443\) | 5.49599e9 | + | 2.40795e10i | 0.142702 | + | 0.625219i | 0.994801 | + | 0.101838i | \(0.0324724\pi\) |
−0.852099 | + | 0.523381i | \(0.824670\pi\) | |||||||
\(444\) | −4.46631e10 | − | 2.15086e10i | −1.14926 | − | 0.553452i | ||||
\(445\) | 4.34901e9 | + | 5.45349e9i | 0.110905 | + | 0.139070i | ||||
\(446\) | 7.83498e9 | − | 3.43273e10i | 0.198015 | − | 0.867561i | ||||
\(447\) | 1.06373e10 | − | 4.66050e10i | 0.266441 | − | 1.16735i | ||||
\(448\) | −8.88241e9 | − | 1.84445e10i | −0.220505 | − | 0.457883i | ||||
\(449\) | 1.85939e10 | − | 1.48281e10i | 0.457493 | − | 0.364838i | −0.367461 | − | 0.930039i | \(-0.619773\pi\) |
0.824953 | + | 0.565201i | \(0.191201\pi\) | |||||||
\(450\) | −4.75131e9 | − | 3.78904e9i | −0.115868 | − | 0.0924015i | ||||
\(451\) | −3.80909e10 | + | 1.83436e10i | −0.920695 | + | 0.443383i | ||||
\(452\) | −1.00383e10 | − | 2.08448e10i | −0.240495 | − | 0.499394i | ||||
\(453\) | −5.24709e10 | + | 6.57964e10i | −1.24602 | + | 1.56246i | ||||
\(454\) | 1.22797e10 | + | 1.53982e10i | 0.289044 | + | 0.362449i | ||||
\(455\) | 2.27145e10 | − | 1.09387e10i | 0.529979 | − | 0.255224i | ||||
\(456\) | −1.66749e10 | − | 3.80594e9i | −0.385659 | − | 0.0880242i | ||||
\(457\) | 5.71053e10 | + | 1.30339e10i | 1.30922 | + | 0.298820i | 0.819509 | − | 0.573066i | \(-0.194246\pi\) |
0.489709 | + | 0.871886i | \(0.337103\pi\) | |||||||
\(458\) | 6.19548e9 | − | 4.94073e9i | 0.140803 | − | 0.112287i | ||||
\(459\) | −7.60744e9 | + | 1.57970e10i | −0.171391 | + | 0.355897i | ||||
\(460\) | −3.41604e9 | + | 7.79688e8i | −0.0762942 | + | 0.0174136i | ||||
\(461\) | 1.45236e10 | + | 6.99418e9i | 0.321566 | + | 0.154858i | 0.587702 | − | 0.809078i | \(-0.300033\pi\) |
−0.266136 | + | 0.963935i | \(0.585747\pi\) | |||||||
\(462\) | −2.58878e10 | − | 2.06448e10i | −0.568234 | − | 0.453151i | ||||
\(463\) | −3.04487e9 | − | 6.94971e8i | −0.0662589 | − | 0.0151232i | 0.189263 | − | 0.981926i | \(-0.439390\pi\) |
−0.255522 | + | 0.966803i | \(0.582247\pi\) | |||||||
\(464\) | −4.62316e9 | − | 3.68685e9i | −0.0997394 | − | 0.0795395i | ||||
\(465\) | −1.36925e10 | − | 5.99906e10i | −0.292866 | − | 1.28313i | ||||
\(466\) | −2.50444e10 | −0.531088 | ||||||||
\(467\) | − | 2.54196e10i | − | 0.534444i | −0.963635 | − | 0.267222i | \(-0.913894\pi\) | ||
0.963635 | − | 0.267222i | \(-0.0861056\pi\) | |||||||
\(468\) | −4.30612e9 | − | 1.88663e10i | −0.0897641 | − | 0.393282i | ||||
\(469\) | −1.21262e10 | + | 9.67029e9i | −0.250629 | + | 0.199870i | ||||
\(470\) | 1.58244e9 | − | 7.62064e8i | 0.0324292 | − | 0.0156171i | ||||
\(471\) | 4.78390e9 | + | 2.30380e9i | 0.0972071 | + | 0.0468125i | ||||
\(472\) | − | 2.51755e10i | − | 0.507235i | ||||||
\(473\) | −4.18615e10 | + | 4.25669e10i | −0.836316 | + | 0.850408i | ||||
\(474\) | −1.39427e10 | −0.276207 | ||||||||
\(475\) | 2.17141e9 | − | 4.50898e9i | 0.0426548 | − | 0.0885735i | ||||
\(476\) | 9.46544e9 | + | 1.96552e10i | 0.184380 | + | 0.382868i | ||||
\(477\) | −3.47066e9 | − | 4.35208e9i | −0.0670408 | − | 0.0840665i | ||||
\(478\) | −5.05956e10 | + | 1.15481e10i | −0.969173 | + | 0.221208i | ||||
\(479\) | 3.36124e10 | 0.638494 | 0.319247 | − | 0.947672i | \(-0.396570\pi\) | ||||
0.319247 | + | 0.947672i | \(0.396570\pi\) | |||||||
\(480\) | 5.51330e10i | 1.03860i | ||||||||
\(481\) | −8.63893e10 | + | 1.97178e10i | −1.61391 | + | 0.368365i | ||||
\(482\) | 3.32456e10 | − | 4.16886e10i | 0.615950 | − | 0.772377i | ||||
\(483\) | −1.87239e9 | + | 8.20349e9i | −0.0344040 | + | 0.150734i | ||||
\(484\) | 8.46412e9 | − | 1.06137e10i | 0.154241 | − | 0.193412i | ||||
\(485\) | 8.57394e9 | − | 1.78040e10i | 0.154958 | − | 0.321773i | ||||
\(486\) | 9.45268e9 | + | 4.14149e10i | 0.169438 | + | 0.742355i | ||||
\(487\) | −2.58847e10 | − | 1.24654e10i | −0.460179 | − | 0.221610i | 0.189407 | − | 0.981899i | \(-0.439343\pi\) |
−0.649586 | + | 0.760288i | \(0.725058\pi\) | |||||||
\(488\) | −6.00831e10 | − | 7.53418e10i | −1.05943 | − | 1.32849i | ||||
\(489\) | 6.09755e9 | − | 2.67151e10i | 0.106640 | − | 0.467220i | ||||
\(490\) | 3.19122e9 | − | 1.39817e10i | 0.0553571 | − | 0.242535i | ||||
\(491\) | −4.82878e9 | − | 1.00271e10i | −0.0830828 | − | 0.172523i | 0.855288 | − | 0.518152i | \(-0.173380\pi\) |
−0.938371 | + | 0.345629i | \(0.887666\pi\) | |||||||
\(492\) | 2.99249e10 | − | 2.38643e10i | 0.510707 | − | 0.407275i | ||||
\(493\) | 8.17718e10 | + | 6.52108e10i | 1.38425 | + | 1.10391i | ||||
\(494\) | −1.01705e10 | + | 4.89787e9i | −0.170780 | + | 0.0822432i | ||||
\(495\) | 1.77069e10 | + | 3.67688e10i | 0.294932 | + | 0.612433i | ||||
\(496\) | −3.35504e9 | + | 4.20709e9i | −0.0554333 | + | 0.0695112i | ||||
\(497\) | 4.76439e9 | + | 5.97436e9i | 0.0780876 | + | 0.0979187i | ||||
\(498\) | 5.14806e10 | − | 2.47917e10i | 0.837001 | − | 0.403079i | ||||
\(499\) | 3.00751e10 | + | 6.86445e9i | 0.485071 | + | 0.110714i | 0.458061 | − | 0.888921i | \(-0.348544\pi\) |
0.0270102 | + | 0.999635i | \(0.491401\pi\) | |||||||
\(500\) | −3.88298e10 | − | 8.86264e9i | −0.621276 | − | 0.141802i | ||||
\(501\) | −1.22459e11 | + | 9.76581e10i | −1.94375 | + | 1.55009i | ||||
\(502\) | −6.49689e9 | + | 1.34909e10i | −0.102304 | + | 0.212435i | ||||
\(503\) | 2.10004e10 | − | 4.79321e9i | 0.328062 | − | 0.0748780i | −0.0553179 | − | 0.998469i | \(-0.517617\pi\) |
0.383380 | + | 0.923591i | \(0.374760\pi\) | |||||||
\(504\) | 3.00307e10 | + | 1.44620e10i | 0.465419 | + | 0.224134i | ||||
\(505\) | −6.55331e10 | − | 5.22609e10i | −1.00762 | − | 0.803548i | ||||
\(506\) | 8.01972e9 | + | 1.83045e9i | 0.122337 | + | 0.0279226i | ||||
\(507\) | 1.41104e9 | + | 1.12526e9i | 0.0213554 | + | 0.0170303i | ||||
\(508\) | −1.39785e10 | − | 6.12437e10i | −0.209896 | − | 0.919616i | ||||
\(509\) | −5.35598e10 | −0.797936 | −0.398968 | − | 0.916965i | \(-0.630632\pi\) | ||||
−0.398968 | + | 0.916965i | \(0.630632\pi\) | |||||||
\(510\) | 4.63921e10i | 0.685746i | ||||||||
\(511\) | 1.50296e9 | + | 6.58492e9i | 0.0220427 | + | 0.0965754i | ||||
\(512\) | 7.71831e9 | − | 6.15515e9i | 0.112316 | − | 0.0895692i | ||||
\(513\) | −7.33883e9 | + | 3.53419e9i | −0.105964 | + | 0.0510294i | ||||
\(514\) | 3.60137e10 | + | 1.73433e10i | 0.515960 | + | 0.248473i | ||||
\(515\) | − | 3.95212e10i | − | 0.561825i | ||||||
\(516\) | 2.83730e10 | − | 4.60041e10i | 0.400227 | − | 0.648930i | ||||
\(517\) | 5.82109e9 | 0.0814784 | ||||||||
\(518\) | 2.44510e10 | − | 5.07730e10i | 0.339608 | − | 0.705202i | ||||
\(519\) | 1.27928e10 | + | 2.65646e10i | 0.176318 | + | 0.366129i | ||||
\(520\) | 3.76788e10 | + | 4.72477e10i | 0.515328 | + | 0.646200i | ||||
\(521\) | 1.21545e11 | − | 2.77419e10i | 1.64963 | − | 0.376518i | 0.706183 | − | 0.708029i | \(-0.250416\pi\) |
0.943451 | + | 0.331511i | \(0.107558\pi\) | |||||||
\(522\) | 5.90029e10 | 0.794678 | ||||||||
\(523\) | 6.39792e10i | 0.855130i | 0.903985 | + | 0.427565i | \(0.140629\pi\) | ||||
−0.903985 | + | 0.427565i | \(0.859371\pi\) | |||||||
\(524\) | 2.21491e10 | − | 5.05540e9i | 0.293787 | − | 0.0670549i | ||||
\(525\) | −1.48116e10 | + | 1.85731e10i | −0.194968 | + | 0.244483i | ||||
\(526\) | 2.03554e10 | − | 8.91826e10i | 0.265911 | − | 1.16503i | ||||
\(527\) | 5.93420e10 | − | 7.44125e10i | 0.769343 | − | 0.964725i | ||||
\(528\) | 3.77171e9 | − | 7.83205e9i | 0.0485292 | − | 0.100772i | ||||
\(529\) | 1.69607e10 | + | 7.43096e10i | 0.216581 | + | 0.948903i | ||||
\(530\) | 5.78282e9 | + | 2.78486e9i | 0.0732886 | + | 0.0352939i | ||||
\(531\) | 1.71540e10 | + | 2.15104e10i | 0.215768 | + | 0.270564i | ||||
\(532\) | −2.25523e9 | + | 9.88079e9i | −0.0281542 | + | 0.123352i | ||||
\(533\) | 1.52244e10 | − | 6.67023e10i | 0.188638 | − | 0.826479i | ||||
\(534\) | 6.43248e9 | + | 1.33572e10i | 0.0791068 | + | 0.164267i | ||||
\(535\) | 4.05899e10 | − | 3.23693e10i | 0.495453 | − | 0.395110i | ||||
\(536\) | −2.90668e10 | − | 2.31800e10i | −0.352158 | − | 0.280837i | ||||
\(537\) | −1.52421e11 | + | 7.34023e10i | −1.83294 | + | 0.882699i | ||||
\(538\) | 1.96953e10 | + | 4.08977e10i | 0.235089 | + | 0.488168i | ||||
\(539\) | 2.96348e10 | − | 3.71609e10i | 0.351113 | − | 0.440282i | ||||
\(540\) | 1.00386e10 | + | 1.25880e10i | 0.118059 | + | 0.148041i | ||||
\(541\) | 1.11965e11 | − | 5.39195e10i | 1.30705 | − | 0.629444i | 0.354854 | − | 0.934922i | \(-0.384531\pi\) |
0.952199 | + | 0.305478i | \(0.0988163\pi\) | |||||||
\(542\) | 3.04011e10 | + | 6.93886e9i | 0.352284 | + | 0.0804065i | ||||
\(543\) | 1.06886e11 | + | 2.43960e10i | 1.22948 | + | 0.280620i | ||||
\(544\) | −6.66726e10 | + | 5.31696e10i | −0.761293 | + | 0.607111i | ||||
\(545\) | −9.68431e9 | + | 2.01097e10i | −0.109770 | + | 0.227939i | ||||
\(546\) | 5.22409e10 | − | 1.19236e10i | 0.587814 | − | 0.134165i | ||||
\(547\) | −1.45508e10 | − | 7.00730e9i | −0.162532 | − | 0.0782711i | 0.350849 | − | 0.936432i | \(-0.385893\pi\) |
−0.513381 | + | 0.858161i | \(0.671607\pi\) | |||||||
\(548\) | 6.41034e9 | + | 5.11208e9i | 0.0710819 | + | 0.0566859i | ||||
\(549\) | 1.02672e11 | + | 2.34343e10i | 1.13022 | + | 0.257966i | ||||
\(550\) | 1.81571e10 | + | 1.44798e10i | 0.198424 | + | 0.158238i | ||||
\(551\) | 1.08122e10 | + | 4.73712e10i | 0.117302 | + | 0.513935i | ||||
\(552\) | −2.01697e10 | −0.217242 | ||||||||
\(553\) | 2.23760e10i | 0.239266i | ||||||||
\(554\) | 1.71273e10 | + | 7.50395e10i | 0.181823 | + | 0.796619i | ||||
\(555\) | −1.32270e11 | + | 1.05482e11i | −1.39409 | + | 1.11175i | ||||
\(556\) | 2.01995e10 | − | 9.72758e9i | 0.211369 | − | 0.101790i | ||||
\(557\) | −5.77246e10 | − | 2.77987e10i | −0.599708 | − | 0.288804i | 0.109295 | − | 0.994009i | \(-0.465141\pi\) |
−0.709003 | + | 0.705205i | \(0.750855\pi\) | |||||||
\(558\) | − | 5.36928e10i | − | 0.553833i | ||||||
\(559\) | −1.16191e10 | − | 9.59139e10i | −0.118994 | − | 0.982278i | ||||
\(560\) | −4.20933e9 | −0.0428017 | ||||||||
\(561\) | −6.67119e10 | + | 1.38529e11i | −0.673522 | + | 1.39858i | ||||
\(562\) | 6.52905e9 | + | 1.35577e10i | 0.0654493 | + | 0.135907i | ||||
\(563\) | 5.77171e10 | + | 7.23749e10i | 0.574475 | + | 0.720368i | 0.981159 | − | 0.193200i | \(-0.0618867\pi\) |
−0.406685 | + | 0.913569i | \(0.633315\pi\) | |||||||
\(564\) | −5.13788e9 | + | 1.17269e9i | −0.0507771 | + | 0.0115895i | ||||
\(565\) | −7.89583e10 | −0.774825 | ||||||||
\(566\) | − | 1.21441e11i | − | 1.18331i | ||||||
\(567\) | 8.86846e10 | − | 2.02417e10i | 0.858057 | − | 0.195846i | ||||
\(568\) | −1.14204e10 | + | 1.43207e10i | −0.109720 | + | 0.137585i | ||||
\(569\) | −3.61647e10 | + | 1.58448e11i | −0.345013 | + | 1.51160i | 0.443326 | + | 0.896361i | \(0.353798\pi\) |
−0.788339 | + | 0.615241i | \(0.789059\pi\) | |||||||
\(570\) | −1.34377e10 | + | 1.68503e10i | −0.127299 | + | 0.159628i | ||||
\(571\) | −5.69324e10 | + | 1.18221e11i | −0.535569 | + | 1.11212i | 0.441117 | + | 0.897449i | \(0.354582\pi\) |
−0.976686 | + | 0.214671i | \(0.931132\pi\) | |||||||
\(572\) | 1.64558e10 | + | 7.20976e10i | 0.153722 | + | 0.673499i | ||||
\(573\) | −6.57577e10 | − | 3.16673e10i | −0.609998 | − | 0.293760i | ||||
\(574\) | 2.71289e10 | + | 3.40186e10i | 0.249911 | + | 0.313379i | ||||
\(575\) | 1.31325e9 | − | 5.75373e9i | 0.0120137 | − | 0.0526354i | ||||
\(576\) | −1.19333e10 | + | 5.22831e10i | −0.108410 | + | 0.474976i | ||||
\(577\) | −3.69040e10 | − | 7.66320e10i | −0.332943 | − | 0.691364i | 0.665543 | − | 0.746359i | \(-0.268200\pi\) |
−0.998487 | + | 0.0549952i | \(0.982486\pi\) | |||||||
\(578\) | 8.80560e7 | − | 7.02223e7i | 0.000788947 | − | 0.000629164i | ||||
\(579\) | −1.16667e11 | − | 9.30390e10i | −1.03809 | − | 0.827848i | ||||
\(580\) | 8.65326e10 | − | 4.16719e10i | 0.764659 | − | 0.368240i | ||||
\(581\) | −3.97870e10 | − | 8.26186e10i | −0.349170 | − | 0.725059i | ||||
\(582\) | 2.61867e10 | − | 3.28370e10i | 0.228238 | − | 0.286202i | ||||
\(583\) | 1.32631e10 | + | 1.66314e10i | 0.114808 | + | 0.143964i | ||||
\(584\) | −1.45868e10 | + | 7.02465e9i | −0.125403 | + | 0.0603911i | ||||
\(585\) | −6.43870e10 | − | 1.46959e10i | −0.549762 | − | 0.125480i | ||||
\(586\) | −1.43195e11 | − | 3.26832e10i | −1.21433 | − | 0.277163i | ||||
\(587\) | 5.03608e10 | − | 4.01614e10i | 0.424171 | − | 0.338265i | −0.388026 | − | 0.921648i | \(-0.626843\pi\) |
0.812197 | + | 0.583384i | \(0.198272\pi\) | |||||||
\(588\) | −1.86704e10 | + | 3.87694e10i | −0.156187 | + | 0.324325i | ||||
\(589\) | 4.31079e10 | − | 9.83910e9i | 0.358176 | − | 0.0817512i | ||||
\(590\) | −2.85820e10 | − | 1.37644e10i | −0.235876 | − | 0.113592i | ||||
\(591\) | −1.92356e11 | − | 1.53399e11i | −1.57673 | − | 1.25740i | ||||
\(592\) | 1.44238e10 | + | 3.29214e9i | 0.117434 | + | 0.0268035i | ||||
\(593\) | 1.56463e11 | + | 1.24775e11i | 1.26530 | + | 1.00904i | 0.998980 | + | 0.0451547i | \(0.0143781\pi\) |
0.266317 | + | 0.963886i | \(0.414193\pi\) | |||||||
\(594\) | −8.41108e9 | − | 3.68514e10i | −0.0675626 | − | 0.296011i | ||||
\(595\) | 7.44523e10 | 0.594032 | ||||||||
\(596\) | − | 6.78988e10i | − | 0.538118i | ||||||
\(597\) | 1.53831e9 | + | 6.73976e9i | 0.0121100 | + | 0.0530575i | ||||
\(598\) | −1.04077e10 | + | 8.29989e9i | −0.0813863 | + | 0.0649034i | ||||
\(599\) | 1.17764e10 | − | 5.67123e9i | 0.0914758 | − | 0.0440524i | −0.387586 | − | 0.921833i | \(-0.626691\pi\) |
0.479062 | + | 0.877781i | \(0.340977\pi\) | |||||||
\(600\) | −5.13045e10 | − | 2.47069e10i | −0.395868 | − | 0.190640i | ||||
\(601\) | − | 4.73275e9i | − | 0.0362757i | −0.999835 | − | 0.0181378i | \(-0.994226\pi\) | ||
0.999835 | − | 0.0181378i | \(-0.00577377\pi\) | |||||||
\(602\) | 5.22975e10 | + | 3.22545e10i | 0.398194 | + | 0.245586i | ||||
\(603\) | 4.06295e10 | 0.307307 | ||||||||
\(604\) | −5.18638e10 | + | 1.07696e11i | −0.389688 | + | 0.809195i | ||||
\(605\) | −2.01019e10 | − | 4.17419e10i | −0.150043 | − | 0.311567i | ||||
\(606\) | −1.11076e11 | − | 1.39285e11i | −0.823627 | − | 1.03280i | ||||
\(607\) | 2.57954e11 | − | 5.88762e10i | 1.90015 | − | 0.433696i | 0.900147 | − | 0.435586i | \(-0.143459\pi\) |
0.999998 | + | 0.00189002i | \(0.000601612\pi\) | |||||||
\(608\) | −3.96174e10 | −0.289916 | ||||||||
\(609\) | − | 2.30646e11i | − | 1.67678i | ||||||
\(610\) | −1.18386e11 | + | 2.70208e10i | −0.855030 | + | 0.195155i | ||||
\(611\) | −5.87341e9 | + | 7.36502e9i | −0.0421430 | + | 0.0528456i | ||||
\(612\) | 1.27166e10 | − | 5.57149e10i | 0.0906493 | − | 0.397160i | ||||
\(613\) | 7.91629e10 | − | 9.92671e10i | 0.560634 | − | 0.703013i | −0.418041 | − | 0.908428i | \(-0.637283\pi\) |
0.978675 | + | 0.205415i | \(0.0658544\pi\) | |||||||
\(614\) | 1.32480e8 | − | 2.75097e8i | 0.000932129 | − | 0.00193559i | ||||
\(615\) | −2.90670e10 | − | 1.27351e11i | −0.203189 | − | 0.890229i | ||||
\(616\) | −1.14762e11 | − | 5.52666e10i | −0.797033 | − | 0.383831i | ||||
\(617\) | 1.54022e11 | + | 1.93138e11i | 1.06278 | + | 1.33268i | 0.940351 | + | 0.340206i | \(0.110497\pi\) |
0.122428 | + | 0.992477i | \(0.460932\pi\) | |||||||
\(618\) | 1.86915e10 | − | 8.18928e10i | 0.128142 | − | 0.561425i | ||||
\(619\) | 1.78875e10 | − | 7.83701e10i | 0.121839 | − | 0.533811i | −0.876762 | − | 0.480925i | \(-0.840301\pi\) |
0.998601 | − | 0.0528859i | \(-0.0168420\pi\) | |||||||
\(620\) | −3.79215e10 | − | 7.87449e10i | −0.256637 | − | 0.532912i | ||||
\(621\) | −7.50998e9 | + | 5.98901e9i | −0.0504978 | + | 0.0402706i | ||||
\(622\) | −2.78826e10 | − | 2.22356e10i | −0.186282 | − | 0.148555i | ||||
\(623\) | 2.14363e10 | − | 1.03232e10i | 0.142297 | − | 0.0685268i | ||||
\(624\) | 6.10373e9 | + | 1.26745e10i | 0.0402584 | + | 0.0835975i | ||||
\(625\) | −5.33108e10 | + | 6.68496e10i | −0.349378 | + | 0.438106i | ||||
\(626\) | 1.00409e11 | + | 1.25908e11i | 0.653843 | + | 0.819893i | ||||
\(627\) | −6.43564e10 | + | 3.09924e10i | −0.416410 | + | 0.200533i | ||||
\(628\) | 7.35269e9 | + | 1.67820e9i | 0.0472724 | + | 0.0107896i | ||||
\(629\) | −2.55120e11 | − | 5.82294e10i | −1.62983 | − | 0.371997i | ||||
\(630\) | 3.28378e10 | − | 2.61873e10i | 0.208455 | − | 0.166237i | ||||
\(631\) | −6.78633e10 | + | 1.40920e11i | −0.428073 | + | 0.888902i | 0.569678 | + | 0.821868i | \(0.307068\pi\) |
−0.997751 | + | 0.0670341i | \(0.978646\pi\) | |||||||
\(632\) | −5.22911e10 | + | 1.19351e10i | −0.327763 | + | 0.0748097i | ||||
\(633\) | 2.24728e11 | + | 1.08223e11i | 1.39973 | + | 0.674073i | ||||
\(634\) | 7.89750e10 | + | 6.29805e10i | 0.488802 | + | 0.389806i | ||||
\(635\) | −2.09012e11 | − | 4.77057e10i | −1.28551 | − | 0.293410i | ||||
\(636\) | −1.50569e10 | − | 1.20075e10i | −0.0920255 | − | 0.0733879i | ||||
\(637\) | 1.71159e10 | + | 7.49897e10i | 0.103954 | + | 0.455453i | ||||
\(638\) | −2.25479e11 | −1.36089 | ||||||||
\(639\) | − | 2.00175e10i | − | 0.120062i | ||||||
\(640\) | 1.60093e10 | + | 7.01411e10i | 0.0954226 | + | 0.418074i | ||||
\(641\) | 2.38436e10 | − | 1.90146e10i | 0.141234 | − | 0.112630i | −0.550324 | − | 0.834951i | \(-0.685496\pi\) |
0.691558 | + | 0.722321i | \(0.256924\pi\) | |||||||
\(642\) | 9.94164e10 | − | 4.78764e10i | 0.585218 | − | 0.281826i | ||||
\(643\) | 1.88886e9 | + | 9.09629e8i | 0.0110499 | + | 0.00532133i | 0.439401 | − | 0.898291i | \(-0.355191\pi\) |
−0.428351 | + | 0.903613i | \(0.640905\pi\) | |||||||
\(644\) | 1.19517e10i | 0.0694840i | ||||||||
\(645\) | −9.94410e10 | − | 1.55363e11i | −0.574548 | − | 0.897653i | ||||
\(646\) | −3.33364e10 | −0.191420 | ||||||||
\(647\) | 1.31543e11 | − | 2.73153e11i | 0.750675 | − | 1.55879i | −0.0766417 | − | 0.997059i | \(-0.524420\pi\) |
0.827317 | − | 0.561735i | \(-0.189866\pi\) | |||||||
\(648\) | 9.46068e10 | + | 1.96453e11i | 0.536565 | + | 1.11419i | ||||
\(649\) | −6.55538e10 | − | 8.22019e10i | −0.369504 | − | 0.463343i | ||||
\(650\) | −3.66405e10 | + | 8.36296e9i | −0.205262 | + | 0.0468497i | ||||
\(651\) | −2.09888e11 | −1.16860 | ||||||||
\(652\) | − | 3.89213e10i | − | 0.215376i | ||||||
\(653\) | 1.59238e11 | − | 3.63451e10i | 0.875779 | − | 0.199891i | 0.239077 | − | 0.971001i | \(-0.423155\pi\) |
0.636702 | + | 0.771110i | \(0.280298\pi\) | |||||||
\(654\) | −2.95780e10 | + | 3.70896e10i | −0.161680 | + | 0.202741i | ||||
\(655\) | 1.72530e10 | − | 7.55905e10i | 0.0937347 | − | 0.410679i | ||||
\(656\) | −7.12224e9 | + | 8.93101e9i | −0.0384593 | + | 0.0482264i | ||||
\(657\) | 7.67684e9 | − | 1.59411e10i | 0.0412023 | − | 0.0855574i | ||||
\(658\) | −1.33311e9 | − | 5.84075e9i | −0.00711153 | − | 0.0311577i | ||||
\(659\) | 2.56388e11 | + | 1.23470e11i | 1.35943 | + | 0.654665i | 0.964508 | − | 0.264052i | \(-0.0850591\pi\) |
0.394917 | + | 0.918717i | \(0.370773\pi\) | |||||||
\(660\) | 8.80317e10 | + | 1.10388e11i | 0.463942 | + | 0.581764i | ||||
\(661\) | −6.29259e10 | + | 2.75696e11i | −0.329628 | + | 1.44419i | 0.490214 | + | 0.871602i | \(0.336919\pi\) |
−0.819841 | + | 0.572591i | \(0.805938\pi\) | |||||||
\(662\) | −4.53042e10 | + | 1.98491e11i | −0.235888 | + | 1.03349i | ||||
\(663\) | −1.07959e11 | − | 2.24180e11i | −0.558735 | − | 1.16022i | ||||
\(664\) | 1.71852e11 | − | 1.37047e11i | 0.884061 | − | 0.705015i | ||||
\(665\) | 2.70423e10 | + | 2.15655e10i | 0.138279 | + | 0.110274i | ||||
\(666\) | −1.33004e11 | + | 6.40513e10i | −0.676032 | + | 0.325560i | ||||
\(667\) | 2.48613e10 | + | 5.16251e10i | 0.125609 | + | 0.260830i | ||||
\(668\) | −1.38711e11 | + | 1.73938e11i | −0.696634 | + | 0.873551i | ||||
\(669\) | 2.24802e11 | + | 2.81893e11i | 1.12227 | + | 1.40728i | ||||
\(670\) | −4.22084e10 | + | 2.03265e10i | −0.209459 | + | 0.100870i | ||||
\(671\) | −3.92362e11 | − | 8.95540e10i | −1.93552 | − | 0.441769i | ||||
\(672\) | 1.83342e11 | + | 4.18466e10i | 0.899052 | + | 0.205203i | ||||
\(673\) | −9.01647e10 | + | 7.19040e10i | −0.439518 | + | 0.350504i | −0.818112 | − | 0.575059i | \(-0.804979\pi\) |
0.378594 | + | 0.925563i | \(0.376408\pi\) | |||||||
\(674\) | −5.38922e10 | + | 1.11908e11i | −0.261148 | + | 0.542279i | ||||
\(675\) | −2.64389e10 | + | 6.03452e9i | −0.127359 | + | 0.0290688i | ||||
\(676\) | 2.30960e9 | + | 1.11225e9i | 0.0110599 | + | 0.00532616i | ||||
\(677\) | 3.17905e11 | + | 2.53521e11i | 1.51336 | + | 1.20687i | 0.913551 | + | 0.406725i | \(0.133329\pi\) |
0.599811 | + | 0.800141i | \(0.295242\pi\) | |||||||
\(678\) | −1.63612e11 | − | 3.73433e10i | −0.774275 | − | 0.176723i | ||||
\(679\) | −5.26985e10 | − | 4.20256e10i | −0.247924 | − | 0.197713i | ||||
\(680\) | 3.97120e10 | + | 1.73990e11i | 0.185732 | + | 0.813745i | ||||
\(681\) | −2.01679e11 | −0.937720 | ||||||||
\(682\) | 2.05187e11i | 0.948443i | ||||||||
\(683\) | −6.44482e10 | − | 2.82366e11i | −0.296161 | − | 1.29757i | −0.875793 | − | 0.482687i | \(-0.839661\pi\) |
0.579632 | − | 0.814879i | \(-0.303196\pi\) | |||||||
\(684\) | 2.07570e10 | − | 1.65531e10i | 0.0948287 | − | 0.0756233i | ||||
\(685\) | 2.52109e10 | − | 1.21409e10i | 0.114505 | − | 0.0551429i | ||||
\(686\) | −1.37420e11 | − | 6.61781e10i | −0.620518 | − | 0.298826i | ||||
\(687\) | 8.11457e10i | 0.364283i | ||||||||
\(688\) | −5.20038e9 | + | 1.52699e10i | −0.0232103 | + | 0.0681524i | ||||
\(689\) | −3.44249e10 | −0.152755 | ||||||||
\(690\) | −1.10275e10 | + | 2.28989e10i | −0.0486498 | + | 0.101022i | ||||
\(691\) | −5.01932e10 | − | 1.04227e11i | −0.220157 | − | 0.457161i | 0.761412 | − | 0.648268i | \(-0.224507\pi\) |
−0.981569 | + | 0.191107i | \(0.938792\pi\) | |||||||
\(692\) | 2.61111e10 | + | 3.27423e10i | 0.113868 | + | 0.142786i | ||||
\(693\) | 1.35712e11 | − | 3.09755e10i | 0.588419 | − | 0.134303i | ||||
\(694\) | 1.62356e11 | 0.699892 | ||||||||
\(695\) | − | 7.65142e10i | − | 0.327946i | ||||||
\(696\) | 5.39003e11 | − | 1.23024e11i | 2.29697 | − | 0.524268i | ||||
\(697\) | 1.25974e11 | − | 1.57967e11i | 0.533765 | − | 0.669321i | ||||
\(698\) | 5.48228e10 | − | 2.40194e11i | 0.230961 | − | 1.01191i | ||||
\(699\) | 1.59898e11 | − | 2.00506e11i | 0.669784 | − | 0.839883i | ||||
\(700\) | −1.46402e10 | + | 3.04007e10i | −0.0609755 | + | 0.126617i | ||||
\(701\) | −3.63357e10 | − | 1.59197e11i | −0.150474 | − | 0.659270i | −0.992747 | − | 0.120219i | \(-0.961640\pi\) |
0.842273 | − | 0.539051i | \(-0.181217\pi\) | |||||||
\(702\) | 5.51121e10 | + | 2.65406e10i | 0.226934 | + | 0.109285i | ||||
\(703\) | −7.57971e10 | − | 9.50466e10i | −0.310335 | − | 0.389148i | ||||
\(704\) | 4.56029e10 | − | 1.99799e11i | 0.185653 | − | 0.813399i | ||||
\(705\) | −4.00215e9 | + | 1.75345e10i | −0.0162008 | + | 0.0709803i | ||||
\(706\) | 1.21455e11 | + | 2.52203e11i | 0.488872 | + | 1.01515i | ||||
\(707\) | −2.23532e11 | + | 1.78260e11i | −0.894666 | + | 0.713473i | ||||
\(708\) | 7.44199e10 | + | 5.93479e10i | 0.296180 | + | 0.236196i | ||||
\(709\) | 2.52279e11 | − | 1.21491e11i | 0.998381 | − | 0.480795i | 0.137992 | − | 0.990433i | \(-0.455935\pi\) |
0.860389 | + | 0.509638i | \(0.170221\pi\) | |||||||
\(710\) | 1.00145e10 | + | 2.07954e10i | 0.0394091 | + | 0.0818338i | ||||
\(711\) | 3.65462e10 | − | 4.58275e10i | 0.143009 | − | 0.179328i | ||||
\(712\) | 3.55584e10 | + | 4.45888e10i | 0.138364 | + | 0.173503i | ||||
\(713\) | 4.69789e10 | − | 2.26239e10i | 0.181780 | − | 0.0875404i | ||||
\(714\) | 1.54275e11 | + | 3.52122e10i | 0.593610 | + | 0.135488i | ||||
\(715\) | 2.46054e11 | + | 5.61603e10i | 0.941471 | + | 0.214885i | ||||
\(716\) | −1.87867e11 | + | 1.49819e11i | −0.714825 | + | 0.570054i | ||||
\(717\) | 2.30578e11 | − | 4.78800e11i | 0.872451 | − | 1.81166i | ||||
\(718\) | −1.72710e11 | + | 3.94199e10i | −0.649859 | + | 0.148326i | ||||
\(719\) | 3.03254e11 | + | 1.46039e11i | 1.13473 | + | 0.546455i | 0.904411 | − | 0.426661i | \(-0.140310\pi\) |
0.230314 | + | 0.973116i | \(0.426025\pi\) | |||||||
\(720\) | 8.62101e9 | + | 6.87502e9i | 0.0320795 | + | 0.0255826i | ||||
\(721\) | −1.31426e11 | − | 2.99970e10i | −0.486339 | − | 0.111004i | ||||
\(722\) | 1.24696e11 | + | 9.94414e10i | 0.458883 | + | 0.365947i | ||||
\(723\) | 1.21501e11 | + | 5.32330e11i | 0.444658 | + | 1.94817i | ||||
\(724\) | 1.55722e11 | 0.566755 | ||||||||
\(725\) | 1.61770e11i | 0.585524i | ||||||||
\(726\) | −2.19118e10 | − | 9.60017e10i | −0.0788734 | − | 0.345567i | ||||
\(727\) | −1.32817e11 | + | 1.05918e11i | −0.475464 | + | 0.379170i | −0.831699 | − | 0.555227i | \(-0.812632\pi\) |
0.356235 | + | 0.934396i | \(0.384060\pi\) | |||||||
\(728\) | 1.85718e11 | − | 8.94373e10i | 0.661195 | − | 0.318415i | ||||
\(729\) | −8.36689e10 | − | 4.02928e10i | −0.296247 | − | 0.142665i | ||||
\(730\) | 2.04012e10i | 0.0718397i | ||||||||
\(731\) | 9.19814e10 | − | 2.70085e11i | 0.322130 | − | 0.945868i | ||||
\(732\) | 3.64352e11 | 1.26905 | ||||||||
\(733\) | 9.28717e10 | − | 1.92850e11i | 0.321712 | − | 0.668042i | −0.675908 | − | 0.736986i | \(-0.736248\pi\) |
0.997621 | + | 0.0689433i | \(0.0219628\pi\) | |||||||
\(734\) | −7.90974e10 | − | 1.64247e11i | −0.272507 | − | 0.565867i | ||||
\(735\) | 9.15629e10 | + | 1.14816e11i | 0.313740 | + | 0.393418i | ||||
\(736\) | −4.55478e10 | + | 1.03960e10i | −0.155223 | + | 0.0354286i | ||||
\(737\) | −1.55265e11 | −0.526266 | ||||||||
\(738\) | − | 1.13982e11i | − | 0.384246i | ||||||
\(739\) | −4.53263e11 | + | 1.03454e11i | −1.51975 | + | 0.346873i | −0.899286 | − | 0.437362i | \(-0.855913\pi\) |
−0.620464 | + | 0.784235i | \(0.713056\pi\) | |||||||
\(740\) | −1.49824e11 | + | 1.87873e11i | −0.499636 | + | 0.626524i | ||||
\(741\) | 2.57223e10 | − | 1.12697e11i | 0.0853171 | − | 0.373799i | ||||
\(742\) | 1.36501e10 | − | 1.71167e10i | 0.0450320 | − | 0.0564684i | ||||
\(743\) | −4.84388e10 | + | 1.00584e11i | −0.158942 | + | 0.330046i | −0.965198 | − | 0.261521i | \(-0.915776\pi\) |
0.806256 | + | 0.591567i | \(0.201490\pi\) | |||||||
\(744\) | −1.11952e11 | − | 4.90494e11i | −0.365377 | − | 1.60082i | ||||
\(745\) | −2.08777e11 | − | 1.00542e11i | −0.677731 | − | 0.326378i | ||||
\(746\) | 9.17800e10 | + | 1.15089e11i | 0.296342 | + | 0.371601i | ||||
\(747\) | −5.34528e10 | + | 2.34192e11i | −0.171667 | + | 0.752124i | ||||
\(748\) | −4.85963e10 | + | 2.12914e11i | −0.155238 | + | 0.680140i | ||||
\(749\) | −7.68344e10 | − | 1.59548e11i | −0.244134 | − | 0.506949i | ||||
\(750\) | −2.25871e11 | + | 1.80126e11i | −0.713862 | + | 0.569286i | ||||
\(751\) | −4.86958e11 | − | 3.88336e11i | −1.53085 | − | 1.22081i | −0.892489 | − | 0.451069i | \(-0.851043\pi\) |
−0.638358 | − | 0.769740i | \(-0.720386\pi\) | |||||||
\(752\) | 1.41706e9 | − | 6.82422e8i | 0.00443117 | − | 0.00213394i | ||||
\(753\) | −6.65287e10 | − | 1.38148e11i | −0.206933 | − | 0.429700i | ||||
\(754\) | 2.27506e11 | − | 2.85283e11i | 0.703893 | − | 0.882654i | ||||
\(755\) | 2.54349e11 | + | 3.18944e11i | 0.782786 | + | 0.981583i | ||||
\(756\) | 4.94803e10 | − | 2.38284e10i | 0.151476 | − | 0.0729472i | ||||
\(757\) | −2.77779e11 | − | 6.34013e10i | −0.845895 | − | 0.193070i | −0.222457 | − | 0.974943i | \(-0.571408\pi\) |
−0.623438 | + | 0.781873i | \(0.714265\pi\) | |||||||
\(758\) | 1.89476e11 | + | 4.32467e10i | 0.573955 | + | 0.131001i | ||||
\(759\) | −6.58573e10 | + | 5.25194e10i | −0.198443 | + | 0.158253i | ||||
\(760\) | −3.59730e10 | + | 7.46987e10i | −0.107826 | + | 0.223902i | ||||
\(761\) | −4.82925e11 | + | 1.10224e11i | −1.43993 | + | 0.328654i | −0.870005 | − | 0.493043i | \(-0.835884\pi\) |
−0.569924 | + | 0.821698i | \(0.693027\pi\) | |||||||
\(762\) | −4.10538e11 | − | 1.97705e11i | −1.21768 | − | 0.586404i | ||||
\(763\) | 5.95232e10 | + | 4.74682e10i | 0.175626 | + | 0.140057i | ||||
\(764\) | −1.01068e11 | − | 2.30680e10i | −0.296646 | − | 0.0677075i | ||||
\(765\) | −1.52483e11 | − | 1.21602e11i | −0.445222 | − | 0.355053i | ||||
\(766\) | −7.08189e9 | − | 3.10278e10i | −0.0205700 | − | 0.0901231i | ||||
\(767\) | 1.70147e11 | 0.491636 | ||||||||
\(768\) | 4.69875e11i | 1.35063i | ||||||||
\(769\) | −1.16630e11 | − | 5.10991e11i | −0.333508 | − | 1.46120i | −0.812286 | − | 0.583259i | \(-0.801777\pi\) |
0.478778 | − | 0.877936i | \(-0.341080\pi\) | |||||||
\(770\) | −1.25489e11 | + | 1.00075e11i | −0.356980 | + | 0.284682i | ||||
\(771\) | −3.68784e11 | + | 1.77597e11i | −1.04365 | + | 0.502595i | ||||
\(772\) | −1.90962e11 | − | 9.19626e10i | −0.537624 | − | 0.258906i | ||||
\(773\) | 5.01601e11i | 1.40488i | 0.711741 | + | 0.702442i | \(0.247907\pi\) | ||||
−0.711741 | + | 0.702442i | \(0.752093\pi\) | |||||||
\(774\) | −5.44283e10 | − | 1.51476e11i | −0.151657 | − | 0.422066i | ||||
\(775\) | 1.47211e11 | 0.408068 | ||||||||
\(776\) | 7.01022e10 | − | 1.45569e11i | 0.193324 | − | 0.401440i | ||||
\(777\) | 2.50380e11 | + | 5.19920e11i | 0.686936 | + | 1.42644i | ||||
\(778\) | 1.87142e11 | + | 2.34669e11i | 0.510803 | + | 0.640527i | ||||
\(779\) | 9.15117e10 | − | 2.08869e10i | 0.248500 | − | 0.0567185i | ||||
\(780\) | −2.28489e11 | −0.617288 | ||||||||
\(781\) | 7.64967e10i | 0.205607i | ||||||||
\(782\) | −3.83265e10 | + | 8.74778e9i | −0.102488 | + | 0.0233922i | ||||
\(783\) | 1.64163e11 | − | 2.05854e11i | 0.436745 | − | 0.547660i | ||||
\(784\) | 2.85772e9 | − | 1.25205e10i | 0.00756406 | − | 0.0331403i | ||||
\(785\) | 1.60477e10 | − | 2.01232e10i | 0.0422606 | − | 0.0529931i | ||||
\(786\) | 7.15010e10 | − | 1.48473e11i | 0.187336 | − | 0.389008i | ||||
\(787\) | 1.14732e10 | + | 5.02675e10i | 0.0299080 | + | 0.131035i | 0.987678 | − | 0.156500i | \(-0.0500212\pi\) |
−0.957770 | + | 0.287536i | \(0.907164\pi\) | |||||||
\(788\) | −3.14851e11 | − | 1.51624e11i | −0.816582 | − | 0.393245i | ||||
\(789\) | 5.84038e11 | + | 7.32360e11i | 1.50707 | + | 1.88980i | ||||
\(790\) | −1.50394e10 | + | 6.58920e10i | −0.0386120 | + | 0.169170i | ||||
\(791\) | −5.99303e10 | + | 2.62572e11i | −0.153088 | + | 0.670721i | ||||
\(792\) | 1.44775e11 | + | 3.00629e11i | 0.367954 | + | 0.764064i | ||||
\(793\) | 5.09194e11 | − | 4.06069e11i | 1.28763 | − | 1.02685i | ||||
\(794\) | −2.46346e11 | − | 1.96455e11i | −0.619818 | − | 0.494288i | ||||
\(795\) | −5.92166e10 | + | 2.85172e10i | −0.148243 | + | 0.0713902i | ||||
\(796\) | 4.26037e9 | + | 8.84675e9i | 0.0106119 | + | 0.0220359i | ||||
\(797\) | 2.16374e11 | − | 2.71325e11i | 0.536257 | − | 0.672445i | −0.437715 | − | 0.899114i | \(-0.644212\pi\) |
0.973972 | + | 0.226669i | \(0.0727836\pi\) | |||||||
\(798\) | 4.58356e10 | + | 5.74760e10i | 0.113029 | + | 0.141734i | ||||
\(799\) | −2.50642e10 | + | 1.20703e10i | −0.0614989 | + | 0.0296163i | ||||
\(800\) | −1.28592e11 | − | 2.93502e10i | −0.313945 | − | 0.0716558i | ||||
\(801\) | −6.07636e10 | − | 1.38689e10i | −0.147609 | − | 0.0336908i | ||||
\(802\) | 3.58214e10 | − | 2.85666e10i | 0.0865854 | − | 0.0690496i | ||||
\(803\) | −2.93370e10 | + | 6.09189e10i | −0.0705592 | + | 0.146518i | ||||
\(804\) | 1.37042e11 | − | 3.12790e10i | 0.327967 | − | 0.0748564i | ||||
\(805\) | 3.67492e10 | + | 1.76975e10i | 0.0875114 | + | 0.0421433i | ||||
\(806\) | −2.59608e11 | − | 2.07031e11i | −0.615146 | − | 0.490562i | ||||
\(807\) | −4.53174e11 | − | 1.03434e11i | −1.06849 | − | 0.243876i | ||||
\(808\) | −5.35812e11 | − | 4.27296e11i | −1.25709 | − | 1.00250i | ||||
\(809\) | −1.11574e11 | − | 4.88837e11i | −0.260477 | − | 1.14122i | −0.920736 | − | 0.390185i | \(-0.872411\pi\) |
0.660260 | − | 0.751037i | \(-0.270446\pi\) | |||||||
\(810\) | 2.74760e11 | 0.638284 | ||||||||
\(811\) | 1.00476e11i | 0.232262i | 0.993234 | + | 0.116131i | \(0.0370493\pi\) | ||||
−0.993234 | + | 0.116131i | \(0.962951\pi\) | |||||||
\(812\) | −7.28985e10 | − | 3.19389e11i | −0.167685 | − | 0.734676i | ||||
\(813\) | −2.49652e11 | + | 1.99091e11i | −0.571442 | + | 0.455710i | ||||
\(814\) | 5.08274e11 | − | 2.44772e11i | 1.15771 | − | 0.557524i | ||||
\(815\) | −1.19676e11 | − | 5.76329e10i | −0.271254 | − | 0.130629i | ||||
\(816\) | 4.15437e10i | 0.0937012i | ||||||||
\(817\) | 1.11640e11 | − | 7.14562e10i | 0.250573 | − | 0.160380i | ||||
\(818\) | −1.83190e11 | −0.409155 | ||||||||
\(819\) | −9.77410e10 | + | 2.02961e11i | −0.217241 | + | 0.451105i | ||||
\(820\) | −8.05017e10 | − | 1.67163e11i | −0.178053 | − | 0.369731i | ||||
\(821\) | 1.51683e11 | + | 1.90205e11i | 0.333861 | + | 0.418648i | 0.920219 | − | 0.391404i | \(-0.128010\pi\) |
−0.586358 | + | 0.810052i | \(0.699439\pi\) | |||||||
\(822\) | 5.79822e10 | − | 1.32341e10i | 0.127001 | − | 0.0289872i | ||||
\(823\) | 5.99324e11 | 1.30636 | 0.653179 | − | 0.757204i | \(-0.273435\pi\) | ||||
0.653179 | + | 0.757204i | \(0.273435\pi\) | |||||||
\(824\) | − | 3.23133e11i | − | 0.700926i | ||||||
\(825\) | −2.31851e11 | + | 5.29185e10i | −0.500488 | + | 0.114233i | ||||
\(826\) | −6.74667e10 | + | 8.46006e10i | −0.144934 | + | 0.181741i | ||||
\(827\) | −5.07117e10 | + | 2.22183e11i | −0.108414 | + | 0.474994i | 0.891351 | + | 0.453314i | \(0.149758\pi\) |
−0.999765 | + | 0.0216795i | \(0.993099\pi\) | |||||||
\(828\) | 1.95204e10 | − | 2.44778e10i | 0.0415305 | − | 0.0520777i | ||||
\(829\) | 9.53839e10 | − | 1.98067e11i | 0.201956 | − | 0.419366i | −0.775251 | − | 0.631653i | \(-0.782377\pi\) |
0.977207 | + | 0.212287i | \(0.0680911\pi\) | |||||||
\(830\) | −6.16335e10 | − | 2.70034e11i | −0.129869 | − | 0.568992i | ||||
\(831\) | −7.10119e11 | − | 3.41975e11i | −1.48911 | − | 0.717118i | ||||
\(832\) | 2.06779e11 | + | 2.59293e11i | 0.431533 | + | 0.541125i | ||||
\(833\) | −5.05456e10 | + | 2.21455e11i | −0.104979 | + | 0.459944i | ||||
\(834\) | 3.61873e10 | − | 1.58547e11i | 0.0747984 | − | 0.327713i | ||||
\(835\) | 3.29431e11 | + | 6.84071e11i | 0.677671 | + | 1.40720i | ||||
\(836\) | −7.93226e10 | + | 6.32577e10i | −0.162395 | + | 0.129506i | ||||
\(837\) | −1.87327e11 | − | 1.49388e11i | −0.381680 | − | 0.304379i | ||||
\(838\) | −6.91348e10 | + | 3.32936e10i | −0.140191 | + | 0.0675125i | ||||
\(839\) | 4.86656e9 | + | 1.01055e10i | 0.00982141 | + | 0.0203944i | 0.905822 | − | 0.423659i | \(-0.139254\pi\) |
−0.896000 | + | 0.444053i | \(0.853540\pi\) | |||||||
\(840\) | 2.45378e11 | − | 3.07695e11i | 0.492855 | − | 0.618020i | ||||
\(841\) | −6.67366e11 | − | 8.36850e11i | −1.33407 | − | 1.67288i | ||||
\(842\) | −4.36234e11 | + | 2.10079e11i | −0.867903 | + | 0.417960i | ||||
\(843\) | −1.50229e11 | − | 3.42887e10i | −0.297470 | − | 0.0678955i | ||||
\(844\) | 3.45400e11 | + | 7.88353e10i | 0.680695 | + | 0.155364i | ||||
\(845\) | 6.83992e9 | − | 5.45465e9i | 0.0134160 | − | 0.0106989i | ||||
\(846\) | −6.80928e9 | + | 1.41396e10i | −0.0132929 | + | 0.0276030i | ||||
\(847\) | −1.54068e11 | + | 3.51651e10i | −0.299350 | + | 0.0683247i | ||||
\(848\) | 5.17847e9 | + | 2.49382e9i | 0.0100142 | + | 0.00482261i | ||||
\(849\) | 9.72259e11 | + | 7.75351e11i | 1.87133 | + | 1.49234i | ||||
\(850\) | −1.08205e11 | − | 2.46970e10i | −0.207286 | − | 0.0473117i | ||||
\(851\) | −1.12084e11 | − | 8.93843e10i | −0.213711 | − | 0.170429i | ||||
\(852\) | −1.54106e10 | − | 6.75185e10i | −0.0292457 | − | 0.128134i | ||||
\(853\) | 3.68649e11 | 0.696332 | 0.348166 | − | 0.937433i | \(-0.386805\pi\) | ||||
0.348166 | + | 0.937433i | \(0.386805\pi\) | |||||||
\(854\) | 4.14196e11i | 0.778707i | ||||||||
\(855\) | −2.01619e10 | − | 8.83352e10i | −0.0377284 | − | 0.165299i | ||||
\(856\) | 3.31871e11 | − | 2.64658e11i | 0.618121 | − | 0.492935i | ||||
\(857\) | 1.24835e11 | − | 6.01173e10i | 0.231426 | − | 0.111449i | −0.314577 | − | 0.949232i | \(-0.601863\pi\) |
0.546004 | + | 0.837783i | \(0.316149\pi\) | |||||||
\(858\) | 4.83295e11 | + | 2.32743e11i | 0.891791 | + | 0.429464i | ||||
\(859\) | 2.14830e11i | 0.394568i | 0.980346 | + | 0.197284i | \(0.0632121\pi\) | ||||
−0.980346 | + | 0.197284i | \(0.936788\pi\) | |||||||
\(860\) | −1.86806e11 | − | 1.83711e11i | −0.341506 | − | 0.335847i | ||||
\(861\) | −4.45561e11 | −0.810765 | ||||||||
\(862\) | 2.30955e11 | − | 4.79582e11i | 0.418309 | − | 0.868628i | ||||
\(863\) | 2.00100e11 | + | 4.15513e11i | 0.360749 | + | 0.749102i | 0.999799 | − | 0.0200628i | \(-0.00638660\pi\) |
−0.639050 | + | 0.769165i | \(0.720672\pi\) | |||||||
\(864\) | 1.33850e11 | + | 1.67843e11i | 0.240195 | + | 0.301195i | ||||
\(865\) | 1.39341e11 | − | 3.18037e10i | 0.248894 | − | 0.0568084i | ||||
\(866\) | −6.22852e11 | −1.10742 | ||||||||
\(867\) | 1.15332e9i | 0.00204114i | ||||||||
\(868\) | −2.90645e11 | + | 6.63378e10i | −0.512016 | + | 0.116864i | ||||
\(869\) | −1.39661e11 | + | 1.75130e11i | −0.244904 | + | 0.307101i | ||||
\(870\) | 1.55023e11 | − | 6.79198e11i | 0.270594 | − | 1.18555i | ||||
\(871\) | 1.56661e11 | − | 1.96447e11i | 0.272200 | − | 0.341328i | ||||
\(872\) | −7.91808e10 | + | 1.64421e11i | −0.136948 | + | 0.284374i | ||||
\(873\) | 3.92905e10 | + | 1.72143e11i | 0.0676442 | + | 0.296368i | ||||
\(874\) | −1.64546e10 | − | 7.92414e9i | −0.0281996 | − | 0.0135802i | ||||
\(875\) | 2.89075e11 | + | 3.62488e11i | 0.493148 | + | 0.618389i | ||||
\(876\) | 1.36214e10 | − | 5.96791e10i | 0.0231315 | − | 0.101346i | ||||
\(877\) | 2.58446e10 | − | 1.13233e11i | 0.0436890 | − | 0.191414i | −0.948374 | − | 0.317153i | \(-0.897273\pi\) |
0.992063 | + | 0.125739i | \(0.0401303\pi\) | |||||||
\(878\) | 1.82226e11 | + | 3.78397e11i | 0.306643 | + | 0.636750i | ||||
\(879\) | 1.17590e12 | − | 9.37751e11i | 1.96977 | − | 1.57084i | ||||
\(880\) | −3.29451e10 | − | 2.62729e10i | −0.0549364 | − | 0.0438103i | ||||
\(881\) | −8.10418e10 | + | 3.90277e10i | −0.134526 | + | 0.0647842i | −0.499936 | − | 0.866062i | \(-0.666643\pi\) |
0.365410 | + | 0.930847i | \(0.380929\pi\) | |||||||
\(882\) | 5.55993e10 | + | 1.15453e11i | 0.0918745 | + | 0.190779i | ||||
\(883\) | 1.62365e11 | − | 2.03599e11i | 0.267084 | − | 0.334913i | −0.630145 | − | 0.776477i | \(-0.717005\pi\) |
0.897230 | + | 0.441564i | \(0.145576\pi\) | |||||||
\(884\) | −2.20352e11 | − | 2.76313e11i | −0.360835 | − | 0.452473i | ||||
\(885\) | 2.92682e11 | − | 1.40948e11i | 0.477115 | − | 0.229766i | ||||
\(886\) | 2.48087e11 | + | 5.66242e10i | 0.402595 | + | 0.0918897i | ||||
\(887\) | 5.56930e11 | + | 1.27116e11i | 0.899717 | + | 0.205355i | 0.647274 | − | 0.762257i | \(-0.275909\pi\) |
0.252443 | + | 0.967612i | \(0.418766\pi\) | |||||||
\(888\) | −1.08147e12 | + | 8.62442e11i | −1.73925 | + | 1.38700i | ||||
\(889\) | −3.17286e11 | + | 6.58851e11i | −0.507977 | + | 1.05482i | ||||
\(890\) | 7.00632e10 | − | 1.59915e10i | 0.111668 | − | 0.0254876i | ||||
\(891\) | 8.20446e11 | + | 3.95106e11i | 1.30179 | + | 0.626907i | ||||
\(892\) | 4.00392e11 | + | 3.19302e11i | 0.632450 | + | 0.504362i | ||||
\(893\) | −1.25999e10 | − | 2.87586e9i | −0.0198136 | − | 0.00452232i | ||||
\(894\) | −3.85061e11 | − | 3.07076e11i | −0.602809 | − | 0.480724i | ||||
\(895\) | 1.82482e11 | + | 7.99505e11i | 0.284399 | + | 1.24603i | ||||
\(896\) | 2.45402e11 | 0.380755 | ||||||||
\(897\) | − | 1.36316e11i | − | 0.210561i | ||||||
\(898\) | −5.45235e10 | − | 2.38883e11i | −0.0838452 | − | 0.367350i | ||||
\(899\) | −1.11744e12 | + | 8.91133e11i | −1.71075 | + | 1.36428i | ||||
\(900\) | 7.96371e10 | − | 3.83512e10i | 0.121380 | − | 0.0584533i | ||||
\(901\) | −9.15938e10 | − | 4.41093e10i | −0.138985 | − | 0.0669315i | ||||
\(902\) | 4.35580e11i | 0.658025i | ||||||||
\(903\) | −5.92129e11 | + | 2.12764e11i | −0.890564 | + | 0.319997i | ||||
\(904\) | −6.45578e11 | −0.966663 | ||||||||
\(905\) | 2.30586e11 | − | 4.78818e11i | 0.343747 | − | 0.713799i | ||||
\(906\) | 3.76200e11 | + | 7.81187e11i | 0.558349 | + | 1.15942i | ||||
\(907\) | −1.24147e10 | − | 1.55675e10i | −0.0183445 | − | 0.0230033i | 0.772575 | − | 0.634924i | \(-0.218969\pi\) |
−0.790919 | + | 0.611921i | \(0.790397\pi\) | |||||||
\(908\) | −2.79278e11 | + | 6.37433e10i | −0.410859 | + | 0.0937759i | ||||
\(909\) | 7.48958e11 | 1.09699 | ||||||||
\(910\) | − | 2.59747e11i | − | 0.378778i | ||||||
\(911\) | 5.89439e11 | − | 1.34536e11i | 0.855787 | − | 0.195328i | 0.227950 | − | 0.973673i | \(-0.426798\pi\) |
0.627837 | + | 0.778345i | \(0.283941\pi\) | |||||||
\(912\) | −1.20334e10 | + | 1.50893e10i | −0.0173943 | + | 0.0218118i | ||||
\(913\) | 2.04269e11 | − | 8.94963e11i | 0.293982 | − | 1.28802i | ||||
\(914\) | 3.76262e11 | − | 4.71817e11i | 0.539144 | − | 0.676066i | ||||
\(915\) | 5.39517e11 | − | 1.12032e12i | 0.769699 | − | 1.59830i | ||||
\(916\) | 2.56471e10 | + | 1.12367e11i | 0.0364298 | + | 0.159609i | ||||
\(917\) | −2.38277e11 | − | 1.14748e11i | −0.336981 | − | 0.162281i | ||||
\(918\) | 1.12629e11 | + | 1.41232e11i | 0.158591 | + | 0.198867i | ||||
\(919\) | −2.92473e11 | + | 1.28141e12i | −0.410038 | + | 1.79649i | 0.173974 | + | 0.984750i | \(0.444339\pi\) |
−0.584013 | + | 0.811745i | \(0.698518\pi\) | |||||||
\(920\) | −2.17562e10 | + | 9.53201e10i | −0.0303691 | + | 0.133056i | ||||
\(921\) | 1.35660e9 | + | 2.81702e9i | 0.00188545 | + | 0.00391517i | ||||
\(922\) | 1.29847e11 | − | 1.03550e11i | 0.179684 | − | 0.143293i | ||||
\(923\) | −9.67859e10 | − | 7.71842e10i | −0.133354 | − | 0.106346i | ||||
\(924\) | 4.33908e11 | − | 2.08959e11i | 0.595264 | − | 0.286664i | ||||
\(925\) | −1.75611e11 | − | 3.64660e11i | −0.239875 | − | 0.498105i | ||||
\(926\) | −2.00623e10 | + | 2.51574e10i | −0.0272858 | + | 0.0342154i | ||||
\(927\) | 2.20175e11 | + | 2.76091e11i | 0.298160 | + | 0.373881i | ||||
\(928\) | 1.15378e12 | − | 5.55633e11i | 1.55572 | − | 0.749197i | ||||
\(929\) | −6.89166e11 | − | 1.57298e11i | −0.925254 | − | 0.211183i | −0.266755 | − | 0.963764i | \(-0.585951\pi\) |
−0.658499 | + | 0.752581i | \(0.728808\pi\) | |||||||
\(930\) | −6.18072e11 | − | 1.41071e11i | −0.826242 | − | 0.188584i | ||||
\(931\) | −8.25045e10 | + | 6.57952e10i | −0.109819 | + | 0.0875780i | ||||
\(932\) | 1.58048e11 | − | 3.28191e11i | 0.209472 | − | 0.434973i | ||||
\(933\) | 3.56038e11 | − | 8.12633e10i | 0.469861 | − | 0.107243i | ||||
\(934\) | −2.35958e11 | − | 1.13632e11i | −0.310062 | − | 0.149318i | ||||
\(935\) | 5.82714e11 | + | 4.64699e11i | 0.762447 | + | 0.608031i | ||||
\(936\) | −5.26441e11 | − | 1.20157e11i | −0.685877 | − | 0.156547i | ||||
\(937\) | −4.55709e9 | − | 3.63416e9i | −0.00591192 | − | 0.00471460i | 0.620529 | − | 0.784183i | \(-0.286918\pi\) |
−0.626441 | + | 0.779469i | \(0.715489\pi\) | |||||||
\(938\) | 3.55580e10 | + | 1.55790e11i | 0.0459331 | + | 0.201246i | ||||
\(939\) | −1.64909e12 | −2.12121 | ||||||||
\(940\) | 2.55461e10i | 0.0327200i | ||||||||
\(941\) | 2.53923e11 | + | 1.11251e12i | 0.323849 | + | 1.41888i | 0.830641 | + | 0.556808i | \(0.187974\pi\) |
−0.506791 | + | 0.862069i | \(0.669169\pi\) | |||||||
\(942\) | 4.27702e10 | − | 3.41081e10i | 0.0543172 | − | 0.0433166i | ||||
\(943\) | 9.97292e10 | − | 4.80271e10i | 0.126118 | − | 0.0607350i | ||||
\(944\) | −2.55949e10 | − | 1.23259e10i | −0.0322304 | − | 0.0155214i | ||||
\(945\) | − | 1.87427e11i | − | 0.235020i | ||||||
\(946\) | 2.07997e11 | + | 5.78864e11i | 0.259713 | + | 0.722790i | ||||
\(947\) | 2.09245e11 | 0.260169 | 0.130084 | − | 0.991503i | \(-0.458475\pi\) | ||||
0.130084 | + | 0.991503i | \(0.458475\pi\) | |||||||
\(948\) | 8.79887e10 | − | 1.82710e11i | 0.108942 | − | 0.226220i | ||||
\(949\) | −4.74758e10 | − | 9.85844e10i | −0.0585338 | − | 0.121547i | ||||
\(950\) | −3.21480e10 | − | 4.03123e10i | −0.0394693 | − | 0.0494930i | ||||
\(951\) | −1.00845e12 | + | 2.30171e11i | −1.23291 | + | 0.281403i | ||||
\(952\) | 6.08736e11 | 0.741108 | ||||||||
\(953\) | − | 6.84339e11i | − | 0.829659i | −0.909899 | − | 0.414830i | \(-0.863841\pi\) | ||
0.909899 | − | 0.414830i | \(-0.136159\pi\) | |||||||
\(954\) | −5.59129e10 | + | 1.27618e10i | −0.0675023 | + | 0.0154070i | ||||
\(955\) | −2.20586e11 | + | 2.76607e11i | −0.265195 | + | 0.332544i | ||||
\(956\) | 1.67964e11 | − | 7.35900e11i | 0.201088 | − | 0.881023i | ||||
\(957\) | 1.43959e12 | − | 1.80519e12i | 1.71629 | − | 2.15217i | ||||
\(958\) | 1.50255e11 | − | 3.12007e11i | 0.178388 | − | 0.370427i | ||||
\(959\) | −2.12387e10 | − | 9.30527e10i | −0.0251104 | − | 0.110016i | ||||
\(960\) | 5.70492e11 | + | 2.74734e11i | 0.671683 | + | 0.323465i | ||||
\(961\) | 2.79164e11 | + | 3.50060e11i | 0.327315 | + | 0.410440i | ||||
\(962\) | −2.03149e11 | + | 8.90054e11i | −0.237200 | + | 1.03924i | ||||
\(963\) | −1.03225e11 | + | 4.52258e11i | −0.120027 | + | 0.525873i | ||||
\(964\) | 3.36499e11 | + | 6.98747e11i | 0.389651 | + | 0.809118i | ||||
\(965\) | −5.65537e11 | + | 4.51001e11i | −0.652157 | + | 0.520078i | ||||
\(966\) | 6.77790e10 | + | 5.40520e10i | 0.0778371 | + | 0.0620731i | ||||
\(967\) | −1.22932e12 | + | 5.92010e11i | −1.40592 | + | 0.677054i | −0.974352 | − | 0.225028i | \(-0.927753\pi\) |
−0.431565 | + | 0.902082i | \(0.642038\pi\) | |||||||
\(968\) | −1.64357e11 | − | 3.41290e11i | −0.187191 | − | 0.388707i | ||||
\(969\) | 2.12839e11 | − | 2.66892e11i | 0.241411 | − | 0.302719i | ||||
\(970\) | −1.26938e11 | − | 1.59176e11i | −0.143386 | − | 0.179800i | ||||
\(971\) | −4.89455e11 | + | 2.35709e11i | −0.550600 | + | 0.265155i | −0.688432 | − | 0.725301i | \(-0.741701\pi\) |
0.137833 | + | 0.990456i | \(0.455986\pi\) | |||||||
\(972\) | −6.02369e11 | − | 1.37487e11i | −0.674835 | − | 0.154027i | ||||
\(973\) | −2.54444e11 | − | 5.80752e10i | −0.283884 | − | 0.0647947i | ||||
\(974\) | −2.31421e11 | + | 1.84552e11i | −0.257138 | + | 0.205061i | ||||
\(975\) | 1.66981e11 | − | 3.46739e11i | 0.184777 | − | 0.383693i | ||||
\(976\) | −1.06014e11 | + | 2.41969e10i | −0.116832 | + | 0.0266662i | ||||
\(977\) | −4.60498e11 | − | 2.21764e11i | −0.505417 | − | 0.243396i | 0.163759 | − | 0.986500i | \(-0.447638\pi\) |
−0.669175 | + | 0.743105i | \(0.733352\pi\) | |||||||
\(978\) | −2.20726e11 | − | 1.76023e11i | −0.241267 | − | 0.192404i | ||||
\(979\) | 2.32208e11 | + | 5.29999e10i | 0.252782 | + | 0.0576958i | ||||
\(980\) | 1.63082e11 | + | 1.30053e11i | 0.176808 | + | 0.140999i | ||||
\(981\) | −4.43788e10 | − | 1.94436e11i | −0.0479181 | − | 0.209943i | ||||
\(982\) | −1.14662e11 | −0.123303 | ||||||||
\(983\) | 1.22345e11i | 0.131030i | 0.997852 | + | 0.0655152i | \(0.0208691\pi\) | ||||
−0.997852 | + | 0.0655152i | \(0.979131\pi\) | |||||||
\(984\) | −2.37658e11 | − | 1.04125e12i | −0.253496 | − | 1.11064i | ||||
\(985\) | −9.32435e11 | + | 7.43592e11i | −0.990544 | + | 0.789933i | ||||
\(986\) | 9.70860e11 | − | 4.67541e11i | 1.02719 | − | 0.494666i | ||||
\(987\) | 5.52726e10 | + | 2.66179e10i | 0.0582426 | + | 0.0280482i | ||||
\(988\) | − | 1.64188e11i | − | 0.172311i | ||||||
\(989\) | 1.09601e11 | − | 1.11448e11i | 0.114559 | − | 0.116490i | ||||
\(990\) | 4.20461e11 | 0.437708 | ||||||||
\(991\) | −4.16880e11 | + | 8.65660e11i | −0.432232 | + | 0.897538i | 0.565134 | + | 0.824999i | \(0.308824\pi\) |
−0.997366 | + | 0.0725390i | \(0.976890\pi\) | |||||||
\(992\) | −5.05627e11 | − | 1.04995e12i | −0.522136 | − | 1.08423i | ||||
\(993\) | −1.29987e12 | − | 1.62999e12i | −1.33691 | − | 1.67644i | ||||
\(994\) | 7.67550e10 | − | 1.75188e10i | 0.0786251 | − | 0.0179457i | ||||
\(995\) | 3.35108e10 | 0.0341894 | ||||||||
\(996\) | 8.31074e11i | 0.844505i | ||||||||
\(997\) | −4.93799e11 | + | 1.12706e11i | −0.499769 | + | 0.114069i | −0.464972 | − | 0.885325i | \(-0.653936\pi\) |
−0.0347972 | + | 0.999394i | \(0.511079\pi\) | |||||||
\(998\) | 1.98162e11 | − | 2.48487e11i | 0.199755 | − | 0.250485i | ||||
\(999\) | −1.46588e11 | + | 6.42242e11i | −0.147175 | + | 0.644818i |
(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 | 43.9.f.a.22.20 | yes | 174 | |
43.2 | odd | 14 | inner | 43.9.f.a.2.20 | ✓ | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.f.a.2.20 | ✓ | 174 | 43.2 | odd | 14 | inner | |
43.9.f.a.22.20 | yes | 174 | 1.1 | even | 1 | trivial |