Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [20,8,Mod(3,20)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(20, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("20.3");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 20 = 2^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 20.e (of order \(4\), degree \(2\), 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: | \(6.24770050968\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 20.3 |
Dual form | 20.8.e.b.7.3 |
$q$-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 \(\left(\mathbb{Z}/20\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −9.99887 | − | 5.29363i | −0.883784 | − | 0.467895i | ||||
\(3\) | 51.5668 | − | 51.5668i | 1.10267 | − | 1.10267i | 0.108583 | − | 0.994087i | \(-0.465369\pi\) |
0.994087 | − | 0.108583i | \(-0.0346312\pi\) | |||||||
\(4\) | 71.9550 | + | 105.861i | 0.562148 | + | 0.827036i | ||||
\(5\) | 278.010 | − | 28.9057i | 0.994638 | − | 0.103416i | ||||
\(6\) | −788.585 | + | 242.634i | −1.49046 | + | 0.458588i | ||||
\(7\) | 645.384 | + | 645.384i | 0.711173 | + | 0.711173i | 0.966781 | − | 0.255608i | \(-0.0822756\pi\) |
−0.255608 | + | 0.966781i | \(0.582276\pi\) | |||||||
\(8\) | −159.082 | − | 1439.39i | −0.109851 | − | 0.993948i | ||||
\(9\) | − | 3131.26i | − | 1.43176i | ||||||
\(10\) | −2932.80 | − | 1182.66i | −0.927433 | − | 0.373989i | ||||
\(11\) | − | 5339.44i | − | 1.20954i | −0.796399 | − | 0.604771i | \(-0.793265\pi\) | ||
0.796399 | − | 0.604771i | \(-0.206735\pi\) | |||||||
\(12\) | 9169.38 | + | 1748.41i | 1.53181 | + | 0.292084i | ||||
\(13\) | −149.045 | − | 149.045i | −0.0188155 | − | 0.0188155i | 0.697636 | − | 0.716452i | \(-0.254235\pi\) |
−0.716452 | + | 0.697636i | \(0.754235\pi\) | |||||||
\(14\) | −3036.69 | − | 9869.54i | −0.295769 | − | 0.961277i | ||||
\(15\) | 12845.5 | − | 15826.6i | 0.982724 | − | 1.21079i | ||||
\(16\) | −6028.96 | + | 15234.4i | −0.367979 | + | 0.929834i | ||||
\(17\) | −20864.6 | + | 20864.6i | −1.03000 | + | 1.03000i | −0.0304678 | + | 0.999536i | \(0.509700\pi\) |
−0.999536 | + | 0.0304678i | \(0.990300\pi\) | |||||||
\(18\) | −16575.8 | + | 31309.1i | −0.669915 | + | 1.26537i | ||||
\(19\) | −20748.8 | −0.693995 | −0.346997 | − | 0.937866i | \(-0.612799\pi\) | ||||
−0.346997 | + | 0.937866i | \(0.612799\pi\) | |||||||
\(20\) | 23064.2 | + | 27350.4i | 0.644663 | + | 0.764467i | ||||
\(21\) | 66560.7 | 1.56838 | ||||||||
\(22\) | −28265.0 | + | 53388.4i | −0.565939 | + | 1.06897i | ||||
\(23\) | 44759.3 | − | 44759.3i | 0.767072 | − | 0.767072i | −0.210518 | − | 0.977590i | \(-0.567515\pi\) |
0.977590 | + | 0.210518i | \(0.0675150\pi\) | |||||||
\(24\) | −82428.1 | − | 66021.4i | −1.21713 | − | 0.974867i | ||||
\(25\) | 76453.9 | − | 16072.2i | 0.978610 | − | 0.205724i | ||||
\(26\) | 701.294 | + | 2279.27i | 0.00782517 | + | 0.0254326i | ||||
\(27\) | −48692.7 | − | 48692.7i | −0.476092 | − | 0.476092i | ||||
\(28\) | −21882.2 | + | 114759.i | −0.188381 | + | 0.987950i | ||||
\(29\) | 88593.8i | 0.674544i | 0.941407 | + | 0.337272i | \(0.109504\pi\) | ||||
−0.941407 | + | 0.337272i | \(0.890496\pi\) | |||||||
\(30\) | −212221. | + | 90249.4i | −1.43504 | + | 0.610267i | ||||
\(31\) | − | 42483.8i | − | 0.256128i | −0.991766 | − | 0.128064i | \(-0.959124\pi\) | ||
0.991766 | − | 0.128064i | \(-0.0408763\pi\) | |||||||
\(32\) | 140928. | − | 120412.i | 0.760279 | − | 0.649597i | ||||
\(33\) | −275338. | − | 275338.i | −1.33373 | − | 1.33373i | ||||
\(34\) | 319072. | − | 98173.0i | 1.39223 | − | 0.428367i | ||||
\(35\) | 198078. | + | 160768.i | 0.780906 | + | 0.633813i | ||||
\(36\) | 331478. | − | 225310.i | 1.18412 | − | 0.804863i | ||||
\(37\) | −316536. | + | 316536.i | −1.02735 | + | 1.02735i | −0.0277298 | + | 0.999615i | \(0.508828\pi\) |
−0.999615 | + | 0.0277298i | \(0.991172\pi\) | |||||||
\(38\) | 207465. | + | 109837.i | 0.613341 | + | 0.324717i | ||||
\(39\) | −15371.6 | −0.0414946 | ||||||||
\(40\) | −85832.9 | − | 395566.i | −0.212053 | − | 0.977258i | ||||
\(41\) | 488041. | 1.10589 | 0.552946 | − | 0.833217i | \(-0.313504\pi\) | ||||
0.552946 | + | 0.833217i | \(0.313504\pi\) | |||||||
\(42\) | −665533. | − | 352348.i | −1.38611 | − | 0.733836i | ||||
\(43\) | −456036. | + | 456036.i | −0.874700 | + | 0.874700i | −0.992980 | − | 0.118280i | \(-0.962262\pi\) |
0.118280 | + | 0.992980i | \(0.462262\pi\) | |||||||
\(44\) | 565236. | − | 384199.i | 1.00034 | − | 0.679942i | ||||
\(45\) | −90511.5 | − | 870522.i | −0.148068 | − | 1.42409i | ||||
\(46\) | −684482. | + | 210604.i | −1.03684 | + | 0.319017i | ||||
\(47\) | −110971. | − | 110971.i | −0.155907 | − | 0.155907i | 0.624843 | − | 0.780750i | \(-0.285163\pi\) |
−0.780750 | + | 0.624843i | \(0.785163\pi\) | |||||||
\(48\) | 474695. | + | 1.09648e6i | 0.619541 | + | 1.43106i | ||||
\(49\) | 9498.09i | 0.0115332i | ||||||||
\(50\) | −849533. | − | 244015.i | −0.961137 | − | 0.276072i | ||||
\(51\) | 2.15184e6i | 2.27151i | ||||||||
\(52\) | 5053.48 | − | 26502.6i | 0.00498401 | − | 0.0261382i | ||||
\(53\) | 1.13839e6 | + | 1.13839e6i | 1.05033 | + | 1.05033i | 0.998664 | + | 0.0516677i | \(0.0164537\pi\) |
0.0516677 | + | 0.998664i | \(0.483546\pi\) | |||||||
\(54\) | 229111. | + | 744633.i | 0.198001 | + | 0.643523i | ||||
\(55\) | −154340. | − | 1.48442e6i | −0.125086 | − | 1.20306i | ||||
\(56\) | 826291. | − | 1.03163e6i | 0.628745 | − | 0.784992i | ||||
\(57\) | −1.06995e6 | + | 1.06995e6i | −0.765247 | + | 0.765247i | ||||
\(58\) | 468982. | − | 885838.i | 0.315616 | − | 0.596151i | ||||
\(59\) | −1.06089e6 | −0.672494 | −0.336247 | − | 0.941774i | \(-0.609158\pi\) | ||||
−0.336247 | + | 0.941774i | \(0.609158\pi\) | |||||||
\(60\) | 2.59972e6 | + | 221027.i | 1.55381 | + | 0.132104i | ||||
\(61\) | −1.50464e6 | −0.848747 | −0.424373 | − | 0.905487i | \(-0.639506\pi\) | ||||
−0.424373 | + | 0.905487i | \(0.639506\pi\) | |||||||
\(62\) | −224893. | + | 424790.i | −0.119841 | + | 0.226362i | ||||
\(63\) | 2.02087e6 | − | 2.02087e6i | 1.01823 | − | 1.01823i | ||||
\(64\) | −2.04654e6 | + | 457961.i | −0.975865 | + | 0.218373i | ||||
\(65\) | −45744.3 | − | 37127.8i | −0.0206605 | − | 0.0167688i | ||||
\(66\) | 1.29553e6 | + | 4.21060e6i | 0.554682 | + | 1.80277i | ||||
\(67\) | 430338. | + | 430338.i | 0.174802 | + | 0.174802i | 0.789086 | − | 0.614283i | \(-0.210555\pi\) |
−0.614283 | + | 0.789086i | \(0.710555\pi\) | |||||||
\(68\) | −3.71005e6 | − | 707428.i | −1.43087 | − | 0.272836i | ||||
\(69\) | − | 4.61619e6i | − | 1.69165i | ||||||
\(70\) | −1.12952e6 | − | 2.65605e6i | −0.393595 | − | 0.925536i | ||||
\(71\) | − | 1.74713e6i | − | 0.579323i | −0.957129 | − | 0.289662i | \(-0.906457\pi\) | ||
0.957129 | − | 0.289662i | \(-0.0935428\pi\) | |||||||
\(72\) | −4.50711e6 | + | 498127.i | −1.42310 | + | 0.157281i | ||||
\(73\) | 2.65975e6 | + | 2.65975e6i | 0.800222 | + | 0.800222i | 0.983130 | − | 0.182908i | \(-0.0585510\pi\) |
−0.182908 | + | 0.983130i | \(0.558551\pi\) | |||||||
\(74\) | 4.84062e6 | − | 1.48938e6i | 1.38864 | − | 0.427261i | ||||
\(75\) | 3.11369e6 | − | 4.77127e6i | 0.852239 | − | 1.30593i | ||||
\(76\) | −1.49298e6 | − | 2.19649e6i | −0.390128 | − | 0.573959i | ||||
\(77\) | 3.44599e6 | − | 3.44599e6i | 0.860194 | − | 0.860194i | ||||
\(78\) | 153698. | + | 81371.4i | 0.0366723 | + | 0.0194151i | ||||
\(79\) | −1.27155e6 | −0.290160 | −0.145080 | − | 0.989420i | \(-0.546344\pi\) | ||||
−0.145080 | + | 0.989420i | \(0.546344\pi\) | |||||||
\(80\) | −1.23575e6 | + | 4.40959e6i | −0.269846 | + | 0.962904i | ||||
\(81\) | 1.82623e6 | 0.381819 | ||||||||
\(82\) | −4.87986e6 | − | 2.58351e6i | −0.977369 | − | 0.517441i | ||||
\(83\) | −2.49865e6 | + | 2.49865e6i | −0.479659 | + | 0.479659i | −0.905023 | − | 0.425364i | \(-0.860146\pi\) |
0.425364 | + | 0.905023i | \(0.360146\pi\) | |||||||
\(84\) | 4.78938e6 | + | 7.04616e6i | 0.881661 | + | 1.29711i | ||||
\(85\) | −5.19746e6 | + | 6.40367e6i | −0.917962 | + | 1.13100i | ||||
\(86\) | 6.97393e6 | − | 2.14576e6i | 1.18231 | − | 0.363778i | ||||
\(87\) | 4.56849e6 | + | 4.56849e6i | 0.743799 | + | 0.743799i | ||||
\(88\) | −7.68554e6 | + | 849407.i | −1.20222 | + | 0.132870i | ||||
\(89\) | 2.86155e6i | 0.430266i | 0.976585 | + | 0.215133i | \(0.0690185\pi\) | ||||
−0.976585 | + | 0.215133i | \(0.930982\pi\) | |||||||
\(90\) | −3.70321e6 | + | 9.18338e6i | −0.535463 | + | 1.32786i | ||||
\(91\) | − | 192383.i | − | 0.0267622i | ||||||
\(92\) | 7.95891e6 | + | 1.51760e6i | 1.06560 | + | 0.203188i | ||||
\(93\) | −2.19075e6 | − | 2.19075e6i | −0.282425 | − | 0.282425i | ||||
\(94\) | 522146. | + | 1.69702e6i | 0.0648402 | + | 0.210737i | ||||
\(95\) | −5.76838e6 | + | 599760.i | −0.690273 | + | 0.0717704i | ||||
\(96\) | 1.05796e6 | − | 1.34765e7i | 0.122045 | − | 1.55463i | ||||
\(97\) | −4.61701e6 | + | 4.61701e6i | −0.513641 | + | 0.513641i | −0.915640 | − | 0.401999i | \(-0.868316\pi\) |
0.401999 | + | 0.915640i | \(0.368316\pi\) | |||||||
\(98\) | 50279.4 | − | 94970.2i | 0.00539633 | − | 0.0101929i | ||||
\(99\) | −1.67192e7 | −1.73178 | ||||||||
\(100\) | 7.20265e6 | + | 6.93699e6i | 0.720265 | + | 0.693699i | ||||
\(101\) | −6.96214e6 | −0.672385 | −0.336193 | − | 0.941793i | \(-0.609139\pi\) | ||||
−0.336193 | + | 0.941793i | \(0.609139\pi\) | |||||||
\(102\) | 1.13910e7 | − | 2.15160e7i | 1.06283 | − | 2.00752i | ||||
\(103\) | 4.05629e6 | − | 4.05629e6i | 0.365762 | − | 0.365762i | −0.500167 | − | 0.865929i | \(-0.666728\pi\) |
0.865929 | + | 0.500167i | \(0.166728\pi\) | |||||||
\(104\) | −190824. | + | 238245.i | −0.0166347 | + | 0.0207686i | ||||
\(105\) | 1.85045e7 | − | 1.92399e6i | 1.55997 | − | 0.162196i | ||||
\(106\) | −5.35642e6 | − | 1.74089e7i | −0.436821 | − | 1.41971i | ||||
\(107\) | 1.26110e7 | + | 1.26110e7i | 0.995194 | + | 0.995194i | 0.999989 | − | 0.00479457i | \(-0.00152616\pi\) |
−0.00479457 | + | 0.999989i | \(0.501526\pi\) | |||||||
\(108\) | 1.65096e6 | − | 8.65832e6i | 0.126111 | − | 0.661379i | ||||
\(109\) | − | 1.14527e7i | − | 0.847062i | −0.905882 | − | 0.423531i | \(-0.860790\pi\) | ||
0.905882 | − | 0.423531i | \(-0.139210\pi\) | |||||||
\(110\) | −6.31472e6 | + | 1.56595e7i | −0.452355 | + | 1.12177i | ||||
\(111\) | 3.26454e7i | 2.26565i | ||||||||
\(112\) | −1.37230e7 | + | 5.94105e6i | −0.922969 | + | 0.399576i | ||||
\(113\) | −1.20471e7 | − | 1.20471e7i | −0.785430 | − | 0.785430i | 0.195311 | − | 0.980741i | \(-0.437428\pi\) |
−0.980741 | + | 0.195311i | \(0.937428\pi\) | |||||||
\(114\) | 1.63622e7 | − | 5.03438e6i | 1.03437 | − | 0.318258i | ||||
\(115\) | 1.11497e7 | − | 1.37373e7i | 0.683631 | − | 0.842287i | ||||
\(116\) | −9.37859e6 | + | 6.37476e6i | −0.557872 | + | 0.379194i | ||||
\(117\) | −466700. | + | 466700.i | −0.0269394 | + | 0.0269394i | ||||
\(118\) | 1.06077e7 | + | 5.61596e6i | 0.594340 | + | 0.314657i | ||||
\(119\) | −2.69314e7 | −1.46502 | ||||||||
\(120\) | −2.48242e7 | − | 1.59720e7i | −1.31142 | − | 0.843769i | ||||
\(121\) | −9.02242e6 | −0.462993 | ||||||||
\(122\) | 1.50447e7 | + | 7.96501e6i | 0.750109 | + | 0.397125i | ||||
\(123\) | 2.51667e7 | − | 2.51667e7i | 1.21943 | − | 1.21943i | ||||
\(124\) | 4.49736e6 | − | 3.05692e6i | 0.211827 | − | 0.143982i | ||||
\(125\) | 2.07904e7 | − | 6.67817e6i | 0.952088 | − | 0.305825i | ||||
\(126\) | −3.09041e7 | + | 9.50868e6i | −1.37632 | + | 0.423471i | ||||
\(127\) | 6.70344e6 | + | 6.70344e6i | 0.290392 | + | 0.290392i | 0.837235 | − | 0.546843i | \(-0.184171\pi\) |
−0.546843 | + | 0.837235i | \(0.684171\pi\) | |||||||
\(128\) | 2.28874e7 | + | 6.25451e6i | 0.964630 | + | 0.263608i | ||||
\(129\) | 4.70326e7i | 1.92901i | ||||||||
\(130\) | 260851. | + | 613389.i | 0.0104133 | + | 0.0244869i | ||||
\(131\) | − | 2.52854e7i | − | 0.982698i | −0.870963 | − | 0.491349i | \(-0.836504\pi\) | ||
0.870963 | − | 0.491349i | \(-0.163496\pi\) | |||||||
\(132\) | 9.33551e6 | − | 4.89593e7i | 0.353288 | − | 1.85279i | ||||
\(133\) | −1.33910e7 | − | 1.33910e7i | −0.493550 | − | 0.493550i | ||||
\(134\) | −2.02484e6 | − | 6.58094e6i | −0.0726984 | − | 0.236277i | ||||
\(135\) | −1.49445e7 | − | 1.21295e7i | −0.522774 | − | 0.424303i | ||||
\(136\) | 3.33515e7 | + | 2.67131e7i | 1.13692 | + | 0.910623i | ||||
\(137\) | 6.20450e6 | − | 6.20450e6i | 0.206151 | − | 0.206151i | −0.596478 | − | 0.802629i | \(-0.703434\pi\) |
0.802629 | + | 0.596478i | \(0.203434\pi\) | |||||||
\(138\) | −2.44364e7 | + | 4.61567e7i | −0.791517 | + | 1.49506i | ||||
\(139\) | −1.52257e7 | −0.480868 | −0.240434 | − | 0.970665i | \(-0.577290\pi\) | ||||
−0.240434 | + | 0.970665i | \(0.577290\pi\) | |||||||
\(140\) | −2.76626e6 | + | 3.25368e7i | −0.0852010 | + | 1.00213i | ||||
\(141\) | −1.14448e7 | −0.343829 | ||||||||
\(142\) | −9.24866e6 | + | 1.74693e7i | −0.271063 | + | 0.511997i | ||||
\(143\) | −795818. | + | 795818.i | −0.0227582 | + | 0.0227582i | ||||
\(144\) | 4.77030e7 | + | 1.88783e7i | 1.33130 | + | 0.526858i | ||||
\(145\) | 2.56087e6 | + | 2.46299e7i | 0.0697588 | + | 0.670927i | ||||
\(146\) | −1.25148e7 | − | 4.06742e7i | −0.332803 | − | 1.08164i | ||||
\(147\) | 489786. | + | 489786.i | 0.0127173 | + | 0.0127173i | ||||
\(148\) | −5.62850e7 | − | 1.07324e7i | −1.42717 | − | 0.272132i | ||||
\(149\) | − | 3.57121e7i | − | 0.884431i | −0.896909 | − | 0.442215i | \(-0.854193\pi\) | ||
0.896909 | − | 0.442215i | \(-0.145807\pi\) | |||||||
\(150\) | −5.63908e7 | + | 3.12246e7i | −1.36423 | + | 0.755401i | ||||
\(151\) | − | 9.51884e6i | − | 0.224991i | −0.993652 | − | 0.112495i | \(-0.964116\pi\) | ||
0.993652 | − | 0.112495i | \(-0.0358844\pi\) | |||||||
\(152\) | 3.30076e6 | + | 2.98657e7i | 0.0762362 | + | 0.689795i | ||||
\(153\) | 6.53326e7 | + | 6.53326e7i | 1.47472 | + | 1.47472i | ||||
\(154\) | −5.26978e7 | + | 1.62142e7i | −1.16271 | + | 0.357745i | ||||
\(155\) | −1.22803e6 | − | 1.18109e7i | −0.0264878 | − | 0.254755i | ||||
\(156\) | −1.10606e6 | − | 1.62724e6i | −0.0233261 | − | 0.0343176i | ||||
\(157\) | 4.61516e6 | − | 4.61516e6i | 0.0951783 | − | 0.0951783i | −0.657914 | − | 0.753093i | \(-0.728561\pi\) |
0.753093 | + | 0.657914i | \(0.228561\pi\) | |||||||
\(158\) | 1.27140e7 | + | 6.73109e6i | 0.256438 | + | 0.135764i | ||||
\(159\) | 1.17406e8 | 2.31634 | ||||||||
\(160\) | 3.56988e7 | − | 3.75493e7i | 0.689023 | − | 0.724739i | ||||
\(161\) | 5.77739e7 | 1.09104 | ||||||||
\(162\) | −1.82602e7 | − | 9.66737e6i | −0.337445 | − | 0.178651i | ||||
\(163\) | −2.06551e7 | + | 2.06551e7i | −0.373568 | + | 0.373568i | −0.868775 | − | 0.495207i | \(-0.835092\pi\) |
0.495207 | + | 0.868775i | \(0.335092\pi\) | |||||||
\(164\) | 3.51170e7 | + | 5.16643e7i | 0.621675 | + | 0.914613i | ||||
\(165\) | −8.45054e7 | − | 6.85877e7i | −1.46450 | − | 1.18865i | ||||
\(166\) | 3.82107e7 | − | 1.17568e7i | 0.648345 | − | 0.199485i | ||||
\(167\) | −6.72725e7 | − | 6.72725e7i | −1.11771 | − | 1.11771i | −0.992076 | − | 0.125636i | \(-0.959903\pi\) |
−0.125636 | − | 0.992076i | \(-0.540097\pi\) | |||||||
\(168\) | −1.05886e7 | − | 9.58069e7i | −0.172288 | − | 1.55889i | ||||
\(169\) | − | 6.27041e7i | − | 0.999292i | ||||||
\(170\) | 8.58674e7 | − | 3.65161e7i | 1.34047 | − | 0.570050i | ||||
\(171\) | 6.49701e7i | 0.993635i | ||||||||
\(172\) | −8.10903e7 | − | 1.54622e7i | −1.21512 | − | 0.231698i | ||||
\(173\) | −3.98453e7 | − | 3.98453e7i | −0.585080 | − | 0.585080i | 0.351215 | − | 0.936295i | \(-0.385769\pi\) |
−0.936295 | + | 0.351215i | \(0.885769\pi\) | |||||||
\(174\) | −2.14959e7 | − | 6.98637e7i | −0.309338 | − | 1.00538i | ||||
\(175\) | 5.97149e7 | + | 3.89694e7i | 0.842266 | + | 0.549656i | ||||
\(176\) | 8.13432e7 | + | 3.21913e7i | 1.12467 | + | 0.445086i | ||||
\(177\) | −5.47067e7 | + | 5.47067e7i | −0.741539 | + | 0.741539i | ||||
\(178\) | 1.51480e7 | − | 2.86123e7i | 0.201319 | − | 0.380262i | ||||
\(179\) | −1.33454e8 | −1.73919 | −0.869595 | − | 0.493766i | \(-0.835620\pi\) | ||||
−0.869595 | + | 0.493766i | \(0.835620\pi\) | |||||||
\(180\) | 8.56413e7 | − | 7.22200e7i | 1.09453 | − | 0.923005i | ||||
\(181\) | −2.86524e7 | −0.359158 | −0.179579 | − | 0.983744i | \(-0.557474\pi\) | ||||
−0.179579 | + | 0.983744i | \(0.557474\pi\) | |||||||
\(182\) | −1.01840e6 | + | 1.92361e6i | −0.0125219 | + | 0.0236520i | ||||
\(183\) | −7.75894e7 | + | 7.75894e7i | −0.935888 | + | 0.935888i | ||||
\(184\) | −7.15465e7 | − | 5.73058e7i | −0.846694 | − | 0.678166i | ||||
\(185\) | −7.88503e7 | + | 9.71497e7i | −0.915593 | + | 1.12808i | ||||
\(186\) | 1.03080e7 | + | 3.35021e7i | 0.117457 | + | 0.381748i | ||||
\(187\) | 1.11405e8 | + | 1.11405e8i | 1.24583 | + | 1.24583i | ||||
\(188\) | 3.76255e6 | − | 1.97324e7i | 0.0412980 | − | 0.216584i | ||||
\(189\) | − | 6.28510e7i | − | 0.677167i | ||||||
\(190\) | 6.08522e7 | + | 2.45387e7i | 0.643634 | + | 0.259546i | ||||
\(191\) | − | 1.01749e8i | − | 1.05661i | −0.849056 | − | 0.528303i | \(-0.822829\pi\) | ||
0.849056 | − | 0.528303i | \(-0.177171\pi\) | |||||||
\(192\) | −8.19178e7 | + | 1.29149e8i | −0.835264 | + | 1.31685i | ||||
\(193\) | 9.78667e7 | + | 9.78667e7i | 0.979906 | + | 0.979906i | 0.999802 | − | 0.0198962i | \(-0.00633357\pi\) |
−0.0198962 | + | 0.999802i | \(0.506334\pi\) | |||||||
\(194\) | 7.06057e7 | − | 2.17242e7i | 0.694278 | − | 0.213618i | ||||
\(195\) | −4.27345e6 | + | 444326.i | −0.0412721 | + | 0.00429122i | ||||
\(196\) | −1.00547e6 | + | 683435.i | −0.00953838 | + | 0.00648337i | ||||
\(197\) | 3.58672e7 | − | 3.58672e7i | 0.334246 | − | 0.334246i | −0.519951 | − | 0.854196i | \(-0.674050\pi\) |
0.854196 | + | 0.519951i | \(0.174050\pi\) | |||||||
\(198\) | 1.67173e8 | + | 8.85052e7i | 1.53052 | + | 0.810290i | ||||
\(199\) | 9.81320e7 | 0.882724 | 0.441362 | − | 0.897329i | \(-0.354495\pi\) | ||||
0.441362 | + | 0.897329i | \(0.354495\pi\) | |||||||
\(200\) | −3.52965e7 | − | 1.07490e8i | −0.311980 | − | 0.950089i | ||||
\(201\) | 4.43822e7 | 0.385499 | ||||||||
\(202\) | 6.96136e7 | + | 3.68550e7i | 0.594243 | + | 0.314606i | ||||
\(203\) | −5.71770e7 | + | 5.71770e7i | −0.479717 | + | 0.479717i | ||||
\(204\) | −2.27795e8 | + | 1.54836e8i | −1.87862 | + | 1.27692i | ||||
\(205\) | 1.35680e8 | − | 1.41072e7i | 1.09996 | − | 0.114367i | ||||
\(206\) | −6.20308e7 | + | 1.90858e7i | −0.494393 | + | 0.152116i | ||||
\(207\) | −1.40153e8 | − | 1.40153e8i | −1.09826 | − | 1.09826i | ||||
\(208\) | 3.16920e6 | − | 1.37203e6i | 0.0244190 | − | 0.0105716i | ||||
\(209\) | 1.10787e8i | 0.839416i | ||||||||
\(210\) | −1.95209e8 | − | 7.87185e7i | −1.45457 | − | 0.586555i | ||||
\(211\) | 1.06912e8i | 0.783495i | 0.920073 | + | 0.391747i | \(0.128129\pi\) | ||||
−0.920073 | + | 0.391747i | \(0.871871\pi\) | |||||||
\(212\) | −3.85980e7 | + | 2.02424e8i | −0.278221 | + | 1.45911i | ||||
\(213\) | −9.00938e7 | − | 9.00938e7i | −0.638802 | − | 0.638802i | ||||
\(214\) | −5.93380e7 | − | 1.92854e8i | −0.413890 | − | 1.34518i | ||||
\(215\) | −1.13600e8 | + | 1.39964e8i | −0.779552 | + | 0.960469i | ||||
\(216\) | −6.23417e7 | + | 7.78339e7i | −0.420911 | + | 0.525510i | ||||
\(217\) | 2.74184e7 | − | 2.74184e7i | 0.182151 | − | 0.182151i | ||||
\(218\) | −6.06264e7 | + | 1.14514e8i | −0.396336 | + | 0.748620i | ||||
\(219\) | 2.74309e8 | 1.76476 | ||||||||
\(220\) | 1.46036e8 | − | 1.23150e8i | 0.924655 | − | 0.779747i | ||||
\(221\) | 6.21954e6 | 0.0387601 | ||||||||
\(222\) | 1.72813e8 | − | 3.26418e8i | 1.06008 | − | 2.00234i | ||||
\(223\) | 1.17604e8 | − | 1.17604e8i | 0.710160 | − | 0.710160i | −0.256408 | − | 0.966569i | \(-0.582539\pi\) |
0.966569 | + | 0.256408i | \(0.0825391\pi\) | |||||||
\(224\) | 1.68665e8 | + | 1.32409e7i | 1.00267 | + | 0.0787135i | ||||
\(225\) | −5.03262e7 | − | 2.39397e8i | −0.294547 | − | 1.40114i | ||||
\(226\) | 5.66845e7 | + | 1.84230e8i | 0.326652 | + | 1.06165i | ||||
\(227\) | −1.96851e8 | − | 1.96851e8i | −1.11699 | − | 1.11699i | −0.992181 | − | 0.124805i | \(-0.960169\pi\) |
−0.124805 | − | 0.992181i | \(-0.539831\pi\) | |||||||
\(228\) | −1.90254e8 | − | 3.62774e7i | −1.06307 | − | 0.202705i | ||||
\(229\) | 2.31575e8i | 1.27429i | 0.770745 | + | 0.637143i | \(0.219884\pi\) | ||||
−0.770745 | + | 0.637143i | \(0.780116\pi\) | |||||||
\(230\) | −1.84205e8 | + | 7.83353e7i | −0.998284 | + | 0.424532i | ||||
\(231\) | − | 3.55397e8i | − | 1.89702i | ||||||
\(232\) | 1.27521e8 | − | 1.40936e7i | 0.670461 | − | 0.0740995i | ||||
\(233\) | −6.34774e7 | − | 6.34774e7i | −0.328756 | − | 0.328756i | 0.523357 | − | 0.852113i | \(-0.324679\pi\) |
−0.852113 | + | 0.523357i | \(0.824679\pi\) | |||||||
\(234\) | 7.13701e6 | − | 2.19594e6i | 0.0364134 | − | 0.0112038i | ||||
\(235\) | −3.40587e7 | − | 2.76433e7i | −0.171195 | − | 0.138948i | ||||
\(236\) | −7.63364e7 | − | 1.12307e8i | −0.378041 | − | 0.556177i | ||||
\(237\) | −6.55695e7 | + | 6.55695e7i | −0.319950 | + | 0.319950i | ||||
\(238\) | 2.69283e8 | + | 1.42565e8i | 1.29476 | + | 0.685476i | ||||
\(239\) | 2.83768e8 | 1.34453 | 0.672265 | − | 0.740311i | \(-0.265322\pi\) | ||||
0.672265 | + | 0.740311i | \(0.265322\pi\) | |||||||
\(240\) | 1.63665e8 | + | 2.91112e8i | 0.764214 | + | 1.35932i | ||||
\(241\) | −3.95091e6 | −0.0181818 | −0.00909092 | − | 0.999959i | \(-0.502894\pi\) | ||||
−0.00909092 | + | 0.999959i | \(0.502894\pi\) | |||||||
\(242\) | 9.02141e7 | + | 4.77614e7i | 0.409186 | + | 0.216632i | ||||
\(243\) | 2.00664e8 | − | 2.00664e8i | 0.897112 | − | 0.897112i | ||||
\(244\) | −1.08266e8 | − | 1.59282e8i | −0.477122 | − | 0.701945i | ||||
\(245\) | 274549. | + | 2.64056e6i | 0.00119272 | + | 0.0114714i | ||||
\(246\) | −3.84862e8 | + | 1.18415e8i | −1.64828 | + | 0.507149i | ||||
\(247\) | 3.09251e6 | + | 3.09251e6i | 0.0130579 | + | 0.0130579i | ||||
\(248\) | −6.11508e7 | + | 6.75839e6i | −0.254578 | + | 0.0281360i | ||||
\(249\) | 2.57695e8i | 1.05781i | ||||||||
\(250\) | −2.43232e8 | − | 4.32822e7i | −0.984534 | − | 0.175194i | ||||
\(251\) | − | 5.01760e7i | − | 0.200280i | −0.994973 | − | 0.100140i | \(-0.968071\pi\) | ||
0.994973 | − | 0.100140i | \(-0.0319291\pi\) | |||||||
\(252\) | 3.59342e8 | + | 6.85189e7i | 1.41451 | + | 0.269717i | ||||
\(253\) | −2.38990e8 | − | 2.38990e8i | −0.927806 | − | 0.927806i | ||||
\(254\) | −3.15413e7 | − | 1.02512e8i | −0.120771 | − | 0.392517i | ||||
\(255\) | 6.22005e7 | + | 5.98233e8i | 0.234911 | + | 2.25933i | ||||
\(256\) | −1.95739e8 | − | 1.83695e8i | −0.729184 | − | 0.684318i | ||||
\(257\) | 2.24786e8 | − | 2.24786e8i | 0.826043 | − | 0.826043i | −0.160924 | − | 0.986967i | \(-0.551447\pi\) |
0.986967 | + | 0.160924i | \(0.0514475\pi\) | |||||||
\(258\) | 2.48973e8 | − | 4.70273e8i | 0.902575 | − | 1.70483i | ||||
\(259\) | −4.08574e8 | −1.46124 | ||||||||
\(260\) | 638841. | − | 7.51405e6i | 0.00225417 | − | 0.0265135i | ||||
\(261\) | 2.77410e8 | 0.965786 | ||||||||
\(262\) | −1.33852e8 | + | 2.52825e8i | −0.459800 | + | 0.868493i | ||||
\(263\) | −3.94967e8 | + | 3.94967e8i | −1.33880 | + | 1.33880i | −0.441579 | + | 0.897223i | \(0.645581\pi\) |
−0.897223 | + | 0.441579i | \(0.854419\pi\) | |||||||
\(264\) | −3.52517e8 | + | 4.40119e8i | −1.17914 | + | 1.47217i | ||||
\(265\) | 3.49390e8 | + | 2.83578e8i | 1.15332 | + | 0.936079i | ||||
\(266\) | 6.30078e7 | + | 2.04781e8i | 0.205262 | + | 0.667121i | ||||
\(267\) | 1.47561e8 | + | 1.47561e8i | 0.474441 | + | 0.474441i | ||||
\(268\) | −1.45909e7 | + | 7.65208e7i | −0.0463031 | + | 0.242833i | ||||
\(269\) | − | 1.08964e8i | − | 0.341311i | −0.985331 | − | 0.170655i | \(-0.945412\pi\) | ||
0.985331 | − | 0.170655i | \(-0.0545885\pi\) | |||||||
\(270\) | 8.52193e7 | + | 2.00393e8i | 0.263490 | + | 0.619596i | ||||
\(271\) | − | 4.93962e7i | − | 0.150765i | −0.997155 | − | 0.0753826i | \(-0.975982\pi\) | ||
0.997155 | − | 0.0753826i | \(-0.0240178\pi\) | |||||||
\(272\) | −1.92068e8 | − | 4.43651e8i | −0.578713 | − | 1.33675i | ||||
\(273\) | −9.92056e6 | − | 9.92056e6i | −0.0295098 | − | 0.0295098i | ||||
\(274\) | −9.48823e7 | + | 2.91937e7i | −0.278650 | + | 0.0857358i | ||||
\(275\) | −8.58163e7 | − | 4.08221e8i | −0.248831 | − | 1.18367i | ||||
\(276\) | 4.88673e8 | − | 3.32158e8i | 1.39906 | − | 0.950961i | ||||
\(277\) | 2.95854e7 | − | 2.95854e7i | 0.0836370 | − | 0.0836370i | −0.664051 | − | 0.747688i | \(-0.731164\pi\) |
0.747688 | + | 0.664051i | \(0.231164\pi\) | |||||||
\(278\) | 1.52240e8 | + | 8.05993e7i | 0.424984 | + | 0.224996i | ||||
\(279\) | −1.33028e8 | −0.366715 | ||||||||
\(280\) | 1.99897e8 | − | 3.10687e8i | 0.544193 | − | 0.845805i | ||||
\(281\) | −5.75963e8 | −1.54854 | −0.774269 | − | 0.632856i | \(-0.781882\pi\) | ||||
−0.774269 | + | 0.632856i | \(0.781882\pi\) | |||||||
\(282\) | 1.14435e8 | + | 6.05847e7i | 0.303871 | + | 0.160876i | ||||
\(283\) | 1.38751e8 | − | 1.38751e8i | 0.363902 | − | 0.363902i | −0.501345 | − | 0.865247i | \(-0.667161\pi\) |
0.865247 | + | 0.501345i | \(0.167161\pi\) | |||||||
\(284\) | 1.84952e8 | − | 1.25715e8i | 0.479121 | − | 0.325666i | ||||
\(285\) | −2.66529e8 | + | 3.28384e8i | −0.682005 | + | 0.840283i | ||||
\(286\) | 1.21700e7 | − | 3.74452e6i | 0.0307617 | − | 0.00946487i | ||||
\(287\) | 3.14974e8 | + | 3.14974e8i | 0.786480 | + | 0.786480i | ||||
\(288\) | −3.77041e8 | − | 4.41283e8i | −0.930069 | − | 1.08854i | ||||
\(289\) | − | 4.60324e8i | − | 1.12181i | ||||||
\(290\) | 1.04776e8 | − | 2.59828e8i | 0.252272 | − | 0.625594i | ||||
\(291\) | 4.76169e8i | 1.13275i | ||||||||
\(292\) | −9.01806e7 | + | 4.72945e8i | −0.211969 | + | 1.11166i | ||||
\(293\) | 4.74529e8 | + | 4.74529e8i | 1.10211 | + | 1.10211i | 0.994155 | + | 0.107958i | \(0.0344313\pi\) |
0.107958 | + | 0.994155i | \(0.465569\pi\) | |||||||
\(294\) | −2.30456e6 | − | 7.49005e6i | −0.00528899 | − | 0.0171897i | ||||
\(295\) | −2.94938e8 | + | 3.06658e7i | −0.668888 | + | 0.0695469i | ||||
\(296\) | 5.05973e8 | + | 4.05263e8i | 1.13398 | + | 0.908273i | ||||
\(297\) | −2.59992e8 | + | 2.59992e8i | −0.575853 | + | 0.575853i | ||||
\(298\) | −1.89047e8 | + | 3.57081e8i | −0.413821 | + | 0.781646i | ||||
\(299\) | −1.33423e7 | −0.0288657 | ||||||||
\(300\) | 7.29136e8 | − | 1.36992e7i | 1.55914 | − | 0.0292934i | ||||
\(301\) | −5.88636e8 | −1.24413 | ||||||||
\(302\) | −5.03892e7 | + | 9.51777e7i | −0.105272 | + | 0.198843i | ||||
\(303\) | −3.59015e8 | + | 3.59015e8i | −0.741419 | + | 0.741419i | ||||
\(304\) | 1.25094e8 | − | 3.16096e8i | 0.255375 | − | 0.645300i | ||||
\(305\) | −4.18305e8 | + | 4.34927e7i | −0.844196 | + | 0.0877743i | ||||
\(306\) | −3.07406e8 | − | 9.99098e8i | −0.613320 | − | 1.99335i | ||||
\(307\) | 1.76076e8 | + | 1.76076e8i | 0.347308 | + | 0.347308i | 0.859106 | − | 0.511798i | \(-0.171020\pi\) |
−0.511798 | + | 0.859106i | \(0.671020\pi\) | |||||||
\(308\) | 6.12751e8 | + | 1.16839e8i | 1.19497 | + | 0.227855i | ||||
\(309\) | − | 4.18339e8i | − | 0.806629i | ||||||
\(310\) | −5.02437e7 | + | 1.24597e8i | −0.0957890 | + | 0.237542i | ||||
\(311\) | − | 3.18612e8i | − | 0.600622i | −0.953841 | − | 0.300311i | \(-0.902910\pi\) | ||
0.953841 | − | 0.300311i | \(-0.0970904\pi\) | |||||||
\(312\) | 2.44533e6 | + | 2.21257e7i | 0.00455824 | + | 0.0412435i | ||||
\(313\) | −4.41391e8 | − | 4.41391e8i | −0.813614 | − | 0.813614i | 0.171560 | − | 0.985174i | \(-0.445119\pi\) |
−0.985174 | + | 0.171560i | \(0.945119\pi\) | |||||||
\(314\) | −7.05774e7 | + | 2.17155e7i | −0.128651 | + | 0.0395836i | ||||
\(315\) | 5.03406e8 | − | 6.20236e8i | 0.907469 | − | 1.11807i | ||||
\(316\) | −9.14940e7 | − | 1.34607e8i | −0.163113 | − | 0.239973i | ||||
\(317\) | 7.71009e8 | − | 7.71009e8i | 1.35941 | − | 1.35941i | 0.484776 | − | 0.874639i | \(-0.338901\pi\) |
0.874639 | − | 0.484776i | \(-0.161099\pi\) | |||||||
\(318\) | −1.17393e9 | − | 6.21506e8i | −2.04714 | − | 1.08380i | ||||
\(319\) | 4.73041e8 | 0.815889 | ||||||||
\(320\) | −5.55720e8 | + | 1.86474e8i | −0.948050 | + | 0.318123i | ||||
\(321\) | 1.30062e9 | 2.19474 | ||||||||
\(322\) | −5.77674e8 | − | 3.05834e8i | −0.964245 | − | 0.510493i | ||||
\(323\) | 4.32916e8 | − | 4.32916e8i | 0.714817 | − | 0.714817i | ||||
\(324\) | 1.31406e8 | + | 1.93326e8i | 0.214639 | + | 0.315778i | ||||
\(325\) | −1.37906e7 | − | 8.99961e6i | −0.0222839 | − | 0.0145423i | ||||
\(326\) | 3.15867e8 | − | 9.71871e7i | 0.504944 | − | 0.155363i | ||||
\(327\) | −5.90579e8 | − | 5.90579e8i | −0.934030 | − | 0.934030i | ||||
\(328\) | −7.76383e7 | − | 7.02481e8i | −0.121484 | − | 1.09920i | ||||
\(329\) | − | 1.43238e8i | − | 0.221754i | ||||||
\(330\) | 4.81881e8 | + | 1.13314e9i | 0.738144 | + | 1.73574i | ||||
\(331\) | 8.91401e7i | 0.135106i | 0.997716 | + | 0.0675531i | \(0.0215192\pi\) | ||||
−0.997716 | + | 0.0675531i | \(0.978481\pi\) | |||||||
\(332\) | −4.44300e8 | − | 8.47185e7i | −0.666335 | − | 0.127056i | ||||
\(333\) | 9.91156e8 | + | 9.91156e8i | 1.47091 | + | 1.47091i | ||||
\(334\) | 3.16534e8 | + | 1.02877e9i | 0.464844 | + | 1.51079i | ||||
\(335\) | 1.32077e8 | + | 1.07199e8i | 0.191943 | + | 0.155788i | ||||
\(336\) | −4.01292e8 | + | 1.01401e9i | −0.577129 | + | 1.45833i | ||||
\(337\) | −4.63800e8 | + | 4.63800e8i | −0.660124 | + | 0.660124i | −0.955409 | − | 0.295285i | \(-0.904585\pi\) |
0.295285 | + | 0.955409i | \(0.404585\pi\) | |||||||
\(338\) | −3.31932e8 | + | 6.26970e8i | −0.467564 | + | 0.883158i | ||||
\(339\) | −1.24246e9 | −1.73214 | ||||||||
\(340\) | −1.05188e9 | − | 8.94303e7i | −1.45141 | − | 0.123398i | ||||
\(341\) | −2.26840e8 | −0.309798 | ||||||||
\(342\) | 3.43928e8 | − | 6.49628e8i | 0.464917 | − | 0.878159i | ||||
\(343\) | 5.25372e8 | − | 5.25372e8i | 0.702971 | − | 0.702971i | ||||
\(344\) | 7.28960e8 | + | 5.83867e8i | 0.965494 | + | 0.773320i | ||||
\(345\) | −1.33434e8 | − | 1.28335e9i | −0.174945 | − | 1.68258i | ||||
\(346\) | 1.87482e8 | + | 6.09334e8i | 0.243328 | + | 0.790841i | ||||
\(347\) | 4.94339e8 | + | 4.94339e8i | 0.635144 | + | 0.635144i | 0.949354 | − | 0.314210i | \(-0.101740\pi\) |
−0.314210 | + | 0.949354i | \(0.601740\pi\) | |||||||
\(348\) | −1.54898e8 | + | 8.12350e8i | −0.197024 | + | 1.03327i | ||||
\(349\) | 1.27604e9i | 1.60684i | 0.595409 | + | 0.803422i | \(0.296990\pi\) | ||||
−0.595409 | + | 0.803422i | \(0.703010\pi\) | |||||||
\(350\) | −3.90792e8 | − | 7.05759e8i | −0.487200 | − | 0.879869i | ||||
\(351\) | 1.45148e7i | 0.0179158i | ||||||||
\(352\) | −6.42931e8 | − | 7.52477e8i | −0.785715 | − | 0.919589i | ||||
\(353\) | 1.46080e8 | + | 1.46080e8i | 0.176758 | + | 0.176758i | 0.789941 | − | 0.613183i | \(-0.210111\pi\) |
−0.613183 | + | 0.789941i | \(0.710111\pi\) | |||||||
\(354\) | 8.36603e8 | − | 2.57408e8i | 1.00232 | − | 0.308398i | ||||
\(355\) | −5.05021e7 | − | 4.85719e8i | −0.0599115 | − | 0.576217i | ||||
\(356\) | −3.02926e8 | + | 2.05903e8i | −0.355845 | + | 0.241873i | ||||
\(357\) | −1.38876e9 | + | 1.38876e9i | −1.61543 | + | 1.61543i | ||||
\(358\) | 1.33439e9 | + | 7.06457e8i | 1.53707 | + | 0.813758i | ||||
\(359\) | 8.52161e8 | 0.972055 | 0.486028 | − | 0.873943i | \(-0.338445\pi\) | ||||
0.486028 | + | 0.873943i | \(0.338445\pi\) | |||||||
\(360\) | −1.23862e9 | + | 2.68766e8i | −1.39920 | + | 0.303609i | ||||
\(361\) | −4.63358e8 | −0.518372 | ||||||||
\(362\) | 2.86492e8 | + | 1.51675e8i | 0.317418 | + | 0.168048i | ||||
\(363\) | −4.65257e8 | + | 4.65257e8i | −0.510528 | + | 0.510528i | ||||
\(364\) | 2.03658e7 | − | 1.38429e7i | 0.0221333 | − | 0.0150443i | ||||
\(365\) | 8.16318e8 | + | 6.62554e8i | 0.878687 | + | 0.713175i | ||||
\(366\) | 1.18654e9 | − | 3.65077e8i | 1.26502 | − | 0.389225i | ||||
\(367\) | −1.06168e9 | − | 1.06168e9i | −1.12115 | − | 1.12115i | −0.991570 | − | 0.129576i | \(-0.958638\pi\) |
−0.129576 | − | 0.991570i | \(-0.541362\pi\) | |||||||
\(368\) | 4.12029e8 | + | 9.51734e8i | 0.430984 | + | 0.995516i | ||||
\(369\) | − | 1.52818e9i | − | 1.58337i | ||||||
\(370\) | 1.30269e9 | − | 5.53983e8i | 1.33701 | − | 0.568579i | ||||
\(371\) | 1.46940e9i | 1.49393i | ||||||||
\(372\) | 7.42790e7 | − | 3.89550e8i | 0.0748110 | − | 0.392340i | ||||
\(373\) | −2.64187e8 | − | 2.64187e8i | −0.263591 | − | 0.263591i | 0.562920 | − | 0.826511i | \(-0.309678\pi\) |
−0.826511 | + | 0.562920i | \(0.809678\pi\) | |||||||
\(374\) | −5.24189e8 | − | 1.70366e9i | −0.518128 | − | 1.68397i | ||||
\(375\) | 7.27720e8 | − | 1.41646e9i | 0.712615 | − | 1.38706i | ||||
\(376\) | −1.42077e8 | + | 1.77384e8i | −0.137837 | + | 0.172091i | ||||
\(377\) | 1.32045e7 | − | 1.32045e7i | 0.0126919 | − | 0.0126919i | ||||
\(378\) | −3.32710e8 | + | 6.28439e8i | −0.316843 | + | 0.598469i | ||||
\(379\) | −1.49762e9 | −1.41308 | −0.706538 | − | 0.707675i | \(-0.749744\pi\) | ||||
−0.706538 | + | 0.707675i | \(0.749744\pi\) | |||||||
\(380\) | −4.78555e8 | − | 5.67489e8i | −0.447393 | − | 0.530536i | ||||
\(381\) | 6.91350e8 | 0.640413 | ||||||||
\(382\) | −5.38621e8 | + | 1.01737e9i | −0.494380 | + | 0.933811i | ||||
\(383\) | 6.90436e8 | − | 6.90436e8i | 0.627954 | − | 0.627954i | −0.319599 | − | 0.947553i | \(-0.603548\pi\) |
0.947553 | + | 0.319599i | \(0.103548\pi\) | |||||||
\(384\) | 1.50275e9 | − | 8.57702e8i | 1.35434 | − | 0.772996i | ||||
\(385\) | 8.58410e8 | − | 1.05763e9i | 0.766623 | − | 0.944539i | ||||
\(386\) | −4.60487e8 | − | 1.49663e9i | −0.407532 | − | 1.32452i | ||||
\(387\) | 1.42797e9 | + | 1.42797e9i | 1.25236 | + | 1.25236i | ||||
\(388\) | −8.20977e8 | − | 1.56543e8i | −0.713543 | − | 0.136058i | ||||
\(389\) | 4.56571e8i | 0.393264i | 0.980477 | + | 0.196632i | \(0.0630005\pi\) | ||||
−0.980477 | + | 0.196632i | \(0.936999\pi\) | |||||||
\(390\) | 4.50817e7 | + | 1.81793e7i | 0.0384835 | + | 0.0155185i | ||||
\(391\) | 1.86777e9i | 1.58017i | ||||||||
\(392\) | 1.36715e7 | − | 1.51097e6i | 0.0114634 | − | 0.00126694i | ||||
\(393\) | −1.30389e9 | − | 1.30389e9i | −1.08359 | − | 1.08359i | ||||
\(394\) | −5.48499e8 | + | 1.68764e8i | −0.451793 | + | 0.139009i | ||||
\(395\) | −3.53502e8 | + | 3.67549e7i | −0.288604 | + | 0.0300072i | ||||
\(396\) | −1.20303e9 | − | 1.76990e9i | −0.973516 | − | 1.43224i | ||||
\(397\) | 7.96123e8 | − | 7.96123e8i | 0.638577 | − | 0.638577i | −0.311627 | − | 0.950204i | \(-0.600874\pi\) |
0.950204 | + | 0.311627i | \(0.100874\pi\) | |||||||
\(398\) | −9.81210e8 | − | 5.19475e8i | −0.780137 | − | 0.413022i | ||||
\(399\) | −1.38106e9 | −1.08845 | ||||||||
\(400\) | −2.16088e8 | + | 1.26163e9i | −0.168819 | + | 0.985647i | ||||
\(401\) | −9.18671e8 | −0.711467 | −0.355734 | − | 0.934587i | \(-0.615769\pi\) | ||||
−0.355734 | + | 0.934587i | \(0.615769\pi\) | |||||||
\(402\) | −4.43772e8 | − | 2.34943e8i | −0.340698 | − | 0.180373i | ||||
\(403\) | −6.33201e6 | + | 6.33201e6i | −0.00481919 | + | 0.00481919i | ||||
\(404\) | −5.00961e8 | − | 7.37017e8i | −0.377980 | − | 0.556087i | ||||
\(405\) | 5.07709e8 | − | 5.27884e7i | 0.379771 | − | 0.0394863i | ||||
\(406\) | 8.74379e8 | − | 2.69032e8i | 0.648424 | − | 0.199509i | ||||
\(407\) | 1.69012e9 | + | 1.69012e9i | 1.24262 | + | 1.24262i | ||||
\(408\) | 3.09734e9 | − | 3.42318e8i | 2.25776 | − | 0.249528i | ||||
\(409\) | 4.07164e8i | 0.294265i | 0.989117 | + | 0.147132i | \(0.0470043\pi\) | ||||
−0.989117 | + | 0.147132i | \(0.952996\pi\) | |||||||
\(410\) | −1.43133e9 | − | 5.77184e8i | −1.02564 | − | 0.413591i | ||||
\(411\) | − | 6.39892e8i | − | 0.454632i | ||||||
\(412\) | 7.21271e8 | + | 1.37531e8i | 0.508111 | + | 0.0968860i | ||||
\(413\) | −6.84682e8 | − | 6.84682e8i | −0.478260 | − | 0.478260i | ||||
\(414\) | 6.59456e8 | + | 2.14329e9i | 0.456756 | + | 1.48450i | ||||
\(415\) | −6.22425e8 | + | 7.66875e8i | −0.427483 | + | 0.526692i | ||||
\(416\) | −3.89515e7 | − | 3.05786e6i | −0.0265276 | − | 0.00208253i | ||||
\(417\) | −7.85142e8 | + | 7.85142e8i | −0.530239 | + | 0.530239i | ||||
\(418\) | 5.86466e8 | − | 1.10775e9i | 0.392759 | − | 0.741862i | ||||
\(419\) | −2.83494e8 | −0.188276 | −0.0941379 | − | 0.995559i | \(-0.530009\pi\) | ||||
−0.0941379 | + | 0.995559i | \(0.530009\pi\) | |||||||
\(420\) | 1.53517e9 | + | 1.82046e9i | 1.01108 | + | 1.19897i | ||||
\(421\) | 8.02558e8 | 0.524191 | 0.262095 | − | 0.965042i | \(-0.415587\pi\) | ||||
0.262095 | + | 0.965042i | \(0.415587\pi\) | |||||||
\(422\) | 5.65950e8 | − | 1.06900e9i | 0.366593 | − | 0.692440i | ||||
\(423\) | −3.47479e8 | + | 3.47479e8i | −0.223222 | + | 0.223222i | ||||
\(424\) | 1.45749e9 | − | 1.81969e9i | 0.928595 | − | 1.15936i | ||||
\(425\) | −1.25984e9 | + | 1.93052e9i | −0.796076 | + | 1.21987i | ||||
\(426\) | 4.23914e8 | + | 1.37776e9i | 0.265671 | + | 0.863456i | ||||
\(427\) | −9.71071e8 | − | 9.71071e8i | −0.603606 | − | 0.603606i | ||||
\(428\) | −4.27586e8 | + | 2.24244e9i | −0.263615 | + | 1.38251i | ||||
\(429\) | 8.20755e7i | 0.0501895i | ||||||||
\(430\) | 1.87680e9 | − | 7.98129e8i | 1.13835 | − | 0.484098i | ||||
\(431\) | − | 1.34312e9i | − | 0.808064i | −0.914745 | − | 0.404032i | \(-0.867608\pi\) | ||
0.914745 | − | 0.404032i | \(-0.132392\pi\) | |||||||
\(432\) | 1.03537e9 | − | 4.48238e8i | 0.617878 | − | 0.267495i | ||||
\(433\) | 1.31154e9 | + | 1.31154e9i | 0.776377 | + | 0.776377i | 0.979213 | − | 0.202836i | \(-0.0650157\pi\) |
−0.202836 | + | 0.979213i | \(0.565016\pi\) | |||||||
\(434\) | −4.19295e8 | + | 1.29010e8i | −0.246210 | + | 0.0757547i | ||||
\(435\) | 1.40214e9 | + | 1.13803e9i | 0.816732 | + | 0.662890i | ||||
\(436\) | 1.21239e9 | − | 8.24079e8i | 0.700551 | − | 0.476174i | ||||
\(437\) | −9.28704e8 | + | 9.28704e8i | −0.532344 | + | 0.532344i | ||||
\(438\) | −2.74278e9 | − | 1.45209e9i | −1.55967 | − | 0.825723i | ||||
\(439\) | 1.55475e8 | 0.0877072 | 0.0438536 | − | 0.999038i | \(-0.486036\pi\) | ||||
0.0438536 | + | 0.999038i | \(0.486036\pi\) | |||||||
\(440\) | −2.11210e9 | + | 4.58300e8i | −1.18204 | + | 0.256487i | ||||
\(441\) | 2.97410e7 | 0.0165128 | ||||||||
\(442\) | −6.21884e7 | − | 3.29239e7i | −0.0342556 | − | 0.0181357i | ||||
\(443\) | −1.03988e9 | + | 1.03988e9i | −0.568288 | + | 0.568288i | −0.931649 | − | 0.363360i | \(-0.881629\pi\) |
0.363360 | + | 0.931649i | \(0.381629\pi\) | |||||||
\(444\) | −3.45587e9 | + | 2.34900e9i | −1.87377 | + | 1.27363i | ||||
\(445\) | 8.27153e7 | + | 7.95540e8i | 0.0444965 | + | 0.427959i | ||||
\(446\) | −1.79847e9 | + | 5.53357e8i | −0.959909 | + | 0.295348i | ||||
\(447\) | −1.84156e9 | − | 1.84156e9i | −0.975235 | − | 0.975235i | ||||
\(448\) | −1.61636e9 | − | 1.02524e9i | −0.849310 | − | 0.538708i | ||||
\(449\) | − | 1.24484e9i | − | 0.649011i | −0.945884 | − | 0.324506i | \(-0.894802\pi\) | ||
0.945884 | − | 0.324506i | \(-0.105198\pi\) | |||||||
\(450\) | −7.64076e8 | + | 2.66011e9i | −0.395269 | + | 1.37612i | ||||
\(451\) | − | 2.60586e9i | − | 1.33762i | ||||||
\(452\) | 4.08465e8 | − | 2.14216e9i | 0.208051 | − | 1.09111i | ||||
\(453\) | −4.90856e8 | − | 4.90856e8i | −0.248091 | − | 0.248091i | ||||
\(454\) | 9.26234e8 | + | 3.01035e9i | 0.464542 | + | 1.50981i | ||||
\(455\) | −5.56097e6 | − | 5.34843e7i | −0.00276765 | − | 0.0266187i | ||||
\(456\) | 1.71029e9 | + | 1.36987e9i | 0.844679 | + | 0.676552i | ||||
\(457\) | 2.28831e9 | − | 2.28831e9i | 1.12152 | − | 1.12152i | 0.130008 | − | 0.991513i | \(-0.458500\pi\) |
0.991513 | − | 0.130008i | \(-0.0415004\pi\) | |||||||
\(458\) | 1.22587e9 | − | 2.31549e9i | 0.596233 | − | 1.12619i | ||||
\(459\) | 2.03191e9 | 0.980752 | ||||||||
\(460\) | 2.25652e9 | + | 1.91848e8i | 1.08090 | + | 0.0918979i | ||||
\(461\) | 1.22029e7 | 0.00580108 | 0.00290054 | − | 0.999996i | \(-0.499077\pi\) | ||||
0.00290054 | + | 0.999996i | \(0.499077\pi\) | |||||||
\(462\) | −1.88134e9 | + | 3.55357e9i | −0.887606 | + | 1.67656i | ||||
\(463\) | 1.02003e8 | − | 1.02003e8i | 0.0477616 | − | 0.0477616i | −0.682823 | − | 0.730584i | \(-0.739248\pi\) |
0.730584 | + | 0.682823i | \(0.239248\pi\) | |||||||
\(464\) | −1.34967e9 | − | 5.34128e8i | −0.627214 | − | 0.248218i | ||||
\(465\) | −6.72376e8 | − | 5.45725e8i | −0.310118 | − | 0.251703i | ||||
\(466\) | 2.98677e8 | + | 9.70729e8i | 0.136726 | + | 0.444373i | ||||
\(467\) | 3.60259e8 | + | 3.60259e8i | 0.163684 | + | 0.163684i | 0.784196 | − | 0.620513i | \(-0.213075\pi\) |
−0.620513 | + | 0.784196i | \(0.713075\pi\) | |||||||
\(468\) | −8.29866e7 | − | 1.58238e7i | −0.0374237 | − | 0.00713592i | ||||
\(469\) | 5.55466e8i | 0.248629i | ||||||||
\(470\) | 1.94215e8 | + | 4.56696e8i | 0.0862861 | + | 0.202901i | ||||
\(471\) | − | 4.75978e8i | − | 0.209901i | ||||||
\(472\) | 1.68768e8 | + | 1.52704e9i | 0.0738744 | + | 0.668424i | ||||
\(473\) | 2.43497e9 | + | 2.43497e9i | 1.05799 | + | 1.05799i | ||||
\(474\) | 1.00272e9 | − | 3.08520e8i | 0.432470 | − | 0.133064i | ||||
\(475\) | −1.58633e9 | + | 3.33478e8i | −0.679150 | + | 0.142771i | ||||
\(476\) | −1.93784e9 | − | 2.85097e9i | −0.823559 | − | 1.21163i | ||||
\(477\) | 3.56461e9 | − | 3.56461e9i | 1.50383 | − | 1.50383i | ||||
\(478\) | −2.83736e9 | − | 1.50216e9i | −1.18827 | − | 0.629099i | ||||
\(479\) | 2.61133e9 | 1.08564 | 0.542821 | − | 0.839848i | \(-0.317356\pi\) | ||||
0.542821 | + | 0.839848i | \(0.317356\pi\) | |||||||
\(480\) | −9.54238e7 | − | 3.77717e9i | −0.0393833 | − | 1.55891i | ||||
\(481\) | 9.43562e7 | 0.0386601 | ||||||||
\(482\) | 3.95047e7 | + | 2.09147e7i | 0.0160688 | + | 0.00850719i | ||||
\(483\) | 2.97921e9 | − | 2.97921e9i | 1.20306 | − | 1.20306i | ||||
\(484\) | −6.49208e8 | − | 9.55120e8i | −0.260271 | − | 0.382912i | ||||
\(485\) | −1.15012e9 | + | 1.41703e9i | −0.457768 | + | 0.564006i | ||||
\(486\) | −3.06865e9 | + | 9.44171e8i | −1.21261 | + | 0.373099i | ||||
\(487\) | 2.43348e9 | + | 2.43348e9i | 0.954721 | + | 0.954721i | 0.999018 | − | 0.0442971i | \(-0.0141048\pi\) |
−0.0442971 | + | 0.999018i | \(0.514105\pi\) | |||||||
\(488\) | 2.39361e8 | + | 2.16576e9i | 0.0932360 | + | 0.843610i | ||||
\(489\) | 2.13023e9i | 0.823845i | ||||||||
\(490\) | 1.12330e7 | − | 2.78560e7i | 0.00431329 | − | 0.0106963i | ||||
\(491\) | − | 3.45389e9i | − | 1.31681i | −0.752663 | − | 0.658406i | \(-0.771231\pi\) | ||
0.752663 | − | 0.658406i | \(-0.228769\pi\) | |||||||
\(492\) | 4.47503e9 | + | 8.53294e8i | 1.69402 | + | 0.323013i | ||||
\(493\) | −1.84847e9 | − | 1.84847e9i | −0.694782 | − | 0.694782i | ||||
\(494\) | −1.45510e7 | − | 4.72923e7i | −0.00543062 | − | 0.0176501i | ||||
\(495\) | −4.64810e9 | + | 4.83281e8i | −1.72249 | + | 0.179094i | ||||
\(496\) | 6.47215e8 | + | 2.56133e8i | 0.238157 | + | 0.0942497i | ||||
\(497\) | 1.12757e9 | − | 1.12757e9i | 0.411999 | − | 0.411999i | ||||
\(498\) | 1.36414e9 | − | 2.57666e9i | 0.494945 | − | 0.934877i | ||||
\(499\) | 4.25986e9 | 1.53477 | 0.767384 | − | 0.641187i | \(-0.221558\pi\) | ||||
0.767384 | + | 0.641187i | \(0.221558\pi\) | |||||||
\(500\) | 2.20293e9 | + | 1.72035e9i | 0.788143 | + | 0.615492i | ||||
\(501\) | −6.93806e9 | −2.46494 | ||||||||
\(502\) | −2.65613e8 | + | 5.01704e8i | −0.0937102 | + | 0.177004i | ||||
\(503\) | −1.06415e9 | + | 1.06415e9i | −0.372833 | + | 0.372833i | −0.868508 | − | 0.495675i | \(-0.834921\pi\) |
0.495675 | + | 0.868508i | \(0.334921\pi\) | |||||||
\(504\) | −3.23030e9 | − | 2.58734e9i | −1.12392 | − | 0.900214i | ||||
\(505\) | −1.93554e9 | + | 2.01246e8i | −0.668780 | + | 0.0695356i | ||||
\(506\) | 1.12450e9 | + | 3.65475e9i | 0.385864 | + | 1.25410i | ||||
\(507\) | −3.23345e9 | − | 3.23345e9i | −1.10189 | − | 1.10189i | ||||
\(508\) | −2.27285e8 | + | 1.19198e9i | −0.0769214 | + | 0.403408i | ||||
\(509\) | − | 1.44533e9i | − | 0.485797i | −0.970052 | − | 0.242898i | \(-0.921902\pi\) | ||
0.970052 | − | 0.242898i | \(-0.0780981\pi\) | |||||||
\(510\) | 2.54489e9 | − | 6.31092e9i | 0.849518 | − | 2.10667i | ||||
\(511\) | 3.43312e9i | 1.13819i | ||||||||
\(512\) | 9.84752e8 | + | 2.87291e9i | 0.324252 | + | 0.945971i | ||||
\(513\) | 1.01032e9 | + | 1.01032e9i | 0.330405 | + | 0.330405i | ||||
\(514\) | −3.43753e9 | + | 1.05767e9i | −1.11654 | + | 0.343542i | ||||
\(515\) | 1.01044e9 | − | 1.24494e9i | 0.325975 | − | 0.401626i | ||||
\(516\) | −4.97890e9 | + | 3.38423e9i | −1.59536 | + | 1.08439i | ||||
\(517\) | −5.92523e8 | + | 5.92523e8i | −0.188577 | + | 0.188577i | ||||
\(518\) | 4.08528e9 | + | 2.16284e9i | 1.29142 | + | 0.683707i | ||||
\(519\) | −4.10938e9 | −1.29030 | ||||||||
\(520\) | −4.61643e7 | + | 7.17503e7i | −0.0143977 | + | 0.0223775i | ||||
\(521\) | 4.98957e8 | 0.154572 | 0.0772860 | − | 0.997009i | \(-0.475375\pi\) | ||||
0.0772860 | + | 0.997009i | \(0.475375\pi\) | |||||||
\(522\) | −2.77379e9 | − | 1.46851e9i | −0.853547 | − | 0.451887i | ||||
\(523\) | −2.34017e9 | + | 2.34017e9i | −0.715307 | + | 0.715307i | −0.967640 | − | 0.252334i | \(-0.918802\pi\) |
0.252334 | + | 0.967640i | \(0.418802\pi\) | |||||||
\(524\) | 2.67673e9 | − | 1.81941e9i | 0.812727 | − | 0.552422i | ||||
\(525\) | 5.08883e9 | − | 1.06977e9i | 1.53483 | − | 0.322652i | ||||
\(526\) | 6.04004e9 | − | 1.85842e9i | 1.80963 | − | 0.556793i | ||||
\(527\) | 8.86407e8 | + | 8.86407e8i | 0.263813 | + | 0.263813i | ||||
\(528\) | 5.85460e9 | − | 2.53460e9i | 1.73093 | − | 0.749362i | ||||
\(529\) | − | 6.01970e8i | − | 0.176799i | ||||||
\(530\) | −1.99235e9 | − | 4.68501e9i | −0.581301 | − | 1.36693i | ||||
\(531\) | 3.32193e9i | 0.962852i | ||||||||
\(532\) | 4.54030e8 | − | 2.38112e9i | 0.130736 | − | 0.685632i | ||||
\(533\) | −7.27401e7 | − | 7.27401e7i | −0.0208079 | − | 0.0208079i | ||||
\(534\) | −6.94311e8 | − | 2.25658e9i | −0.197315 | − | 0.641292i | ||||
\(535\) | 3.87052e9 | + | 3.14146e9i | 1.09278 | + | 0.886939i | ||||
\(536\) | 5.50965e8 | − | 6.87883e8i | 0.154542 | − | 0.192947i | ||||
\(537\) | −6.88181e9 | + | 6.88181e9i | −1.91775 | + | 1.91775i | ||||
\(538\) | −5.76815e8 | + | 1.08952e9i | −0.159698 | + | 0.301645i | ||||
\(539\) | 5.07144e7 | 0.0139499 | ||||||||
\(540\) | 2.08708e8 | − | 2.45482e9i | 0.0570374 | − | 0.670875i | ||||
\(541\) | 4.80780e9 | 1.30544 | 0.652719 | − | 0.757600i | \(-0.273628\pi\) | ||||
0.652719 | + | 0.757600i | \(0.273628\pi\) | |||||||
\(542\) | −2.61485e8 | + | 4.93906e8i | −0.0705423 | + | 0.133244i | ||||
\(543\) | −1.47751e9 | + | 1.47751e9i | −0.396033 | + | 0.396033i | ||||
\(544\) | −4.28064e8 | + | 5.45275e9i | −0.114002 | + | 1.45218i | ||||
\(545\) | −3.31049e8 | − | 3.18396e9i | −0.0876000 | − | 0.842520i | ||||
\(546\) | 4.66787e7 | + | 1.51710e8i | 0.0122728 | + | 0.0398878i | ||||
\(547\) | −4.22037e9 | − | 4.22037e9i | −1.10254 | − | 1.10254i | −0.994103 | − | 0.108438i | \(-0.965415\pi\) |
−0.108438 | − | 0.994103i | \(-0.534585\pi\) | |||||||
\(548\) | 1.10326e9 | + | 2.10368e8i | 0.286381 | + | 0.0546069i | ||||
\(549\) | 4.71143e9i | 1.21520i | ||||||||
\(550\) | −1.30290e9 | + | 4.53603e9i | −0.333920 | + | 1.16254i | ||||
\(551\) | − | 1.83822e9i | − | 0.468130i | ||||||
\(552\) | −6.64450e9 | + | 7.34351e8i | −1.68142 | + | 0.185831i | ||||
\(553\) | −8.20635e8 | − | 8.20635e8i | −0.206354 | − | 0.206354i | ||||
\(554\) | −4.52435e8 | + | 1.39207e8i | −0.113050 | + | 0.0347837i | ||||
\(555\) | 9.43640e8 | + | 9.07575e9i | 0.234305 | + | 2.25350i | ||||
\(556\) | −1.09557e9 | − | 1.61181e9i | −0.270319 | − | 0.397696i | ||||
\(557\) | 1.39710e9 | − | 1.39710e9i | 0.342558 | − | 0.342558i | −0.514770 | − | 0.857328i | \(-0.672123\pi\) |
0.857328 | + | 0.514770i | \(0.172123\pi\) | |||||||
\(558\) | 1.33013e9 | + | 7.04201e8i | 0.324097 | + | 0.171584i | ||||
\(559\) | 1.35940e8 | 0.0329159 | ||||||||
\(560\) | −3.64341e9 | + | 2.04834e9i | −0.876698 | + | 0.492884i | ||||
\(561\) | 1.14896e10 | 2.74749 | ||||||||
\(562\) | 5.75898e9 | + | 3.04893e9i | 1.36857 | + | 0.724554i | ||||
\(563\) | −5.24879e9 | + | 5.24879e9i | −1.23960 | + | 1.23960i | −0.279429 | + | 0.960166i | \(0.590145\pi\) |
−0.960166 | + | 0.279429i | \(0.909855\pi\) | |||||||
\(564\) | −8.23513e8 | − | 1.21156e9i | −0.193283 | − | 0.284359i | ||||
\(565\) | −3.69744e9 | − | 3.00098e9i | −0.862445 | − | 0.699993i | ||||
\(566\) | −2.12186e9 | + | 6.52859e8i | −0.491879 | + | 0.151343i | ||||
\(567\) | 1.17862e9 | + | 1.17862e9i | 0.271539 | + | 0.271539i | ||||
\(568\) | −2.51480e9 | + | 2.77936e8i | −0.575817 | + | 0.0636394i | ||||
\(569\) | − | 1.89520e9i | − | 0.431284i | −0.976473 | − | 0.215642i | \(-0.930816\pi\) | ||
0.976473 | − | 0.215642i | \(-0.0691844\pi\) | |||||||
\(570\) | 4.40334e9 | − | 1.87257e9i | 0.995909 | − | 0.423522i | ||||
\(571\) | − | 1.21093e9i | − | 0.272203i | −0.990695 | − | 0.136101i | \(-0.956543\pi\) | ||
0.990695 | − | 0.136101i | \(-0.0434573\pi\) | |||||||
\(572\) | −1.41509e8 | − | 2.69827e7i | −0.0316153 | − | 0.00602837i | ||||
\(573\) | −5.24686e9 | − | 5.24686e9i | −1.16509 | − | 1.16509i | ||||
\(574\) | −1.48203e9 | − | 4.81674e9i | −0.327088 | − | 1.06307i | ||||
\(575\) | 2.70265e9 | − | 4.14140e9i | 0.592860 | − | 0.908469i | ||||
\(576\) | 1.43400e9 | + | 6.40825e9i | 0.312658 | + | 1.39721i | ||||
\(577\) | −4.15769e9 | + | 4.15769e9i | −0.901026 | + | 0.901026i | −0.995525 | − | 0.0944994i | \(-0.969875\pi\) |
0.0944994 | + | 0.995525i | \(0.469875\pi\) | |||||||
\(578\) | −2.43678e9 | + | 4.60272e9i | −0.524892 | + | 0.991442i | ||||
\(579\) | 1.00933e10 | 2.16103 | ||||||||
\(580\) | −2.42307e9 | + | 2.04334e9i | −0.515666 | + | 0.434854i | ||||
\(581\) | −3.22518e9 | −0.682241 | ||||||||
\(582\) | 2.52066e9 | − | 4.76115e9i | 0.530010 | − | 1.00111i | ||||
\(583\) | 6.07838e9 | − | 6.07838e9i | 1.27042 | − | 1.27042i | ||||
\(584\) | 3.40530e9 | − | 4.25153e9i | 0.707474 | − | 0.883285i | ||||
\(585\) | −1.16257e8 | + | 1.43237e8i | −0.0240089 | + | 0.0295809i | ||||
\(586\) | −2.23278e9 | − | 7.25674e9i | −0.458357 | − | 1.48970i | ||||
\(587\) | −3.53809e9 | − | 3.53809e9i | −0.721998 | − | 0.721998i | 0.247014 | − | 0.969012i | \(-0.420551\pi\) |
−0.969012 | + | 0.247014i | \(0.920551\pi\) | |||||||
\(588\) | −1.66065e7 | + | 8.70916e7i | −0.00336867 | + | 0.0176667i | ||||
\(589\) | 8.81489e8i | 0.177752i | ||||||||
\(590\) | 3.11138e9 | + | 1.25467e9i | 0.623694 | + | 0.251505i | ||||
\(591\) | − | 3.69911e9i | − | 0.737125i | ||||||
\(592\) | −2.91385e9 | − | 6.73061e9i | −0.577220 | − | 1.33330i | ||||
\(593\) | 1.29096e9 | + | 1.29096e9i | 0.254227 | + | 0.254227i | 0.822701 | − | 0.568474i | \(-0.192466\pi\) |
−0.568474 | + | 0.822701i | \(0.692466\pi\) | |||||||
\(594\) | 3.97592e9 | − | 1.22332e9i | 0.778368 | − | 0.239491i | ||||
\(595\) | −7.48718e9 | + | 7.78471e8i | −1.45717 | + | 0.151507i | ||||
\(596\) | 3.78051e9 | − | 2.56967e9i | 0.731456 | − | 0.497181i | ||||
\(597\) | 5.06035e9 | − | 5.06035e9i | 0.973353 | − | 0.973353i | ||||
\(598\) | 1.33408e8 | + | 7.06293e7i | 0.0255111 | + | 0.0135061i | ||||
\(599\) | −5.72882e9 | −1.08911 | −0.544555 | − | 0.838725i | \(-0.683301\pi\) | ||||
−0.544555 | + | 0.838725i | \(0.683301\pi\) | |||||||
\(600\) | −7.36305e9 | − | 3.72280e9i | −1.39165 | − | 0.703623i | ||||
\(601\) | 4.48169e8 | 0.0842133 | 0.0421067 | − | 0.999113i | \(-0.486593\pi\) | ||||
0.0421067 | + | 0.999113i | \(0.486593\pi\) | |||||||
\(602\) | 5.88570e9 | + | 3.11602e9i | 1.09954 | + | 0.582121i | ||||
\(603\) | 1.34750e9 | − | 1.34750e9i | 0.250276 | − | 0.250276i | ||||
\(604\) | 1.00767e9 | − | 6.84928e8i | 0.186076 | − | 0.126478i | ||||
\(605\) | −2.50832e9 | + | 2.60800e8i | −0.460510 | + | 0.0478810i | ||||
\(606\) | 5.49024e9 | − | 1.68925e9i | 1.00216 | − | 0.308348i | ||||
\(607\) | −2.83783e9 | − | 2.83783e9i | −0.515022 | − | 0.515022i | 0.401039 | − | 0.916061i | \(-0.368649\pi\) |
−0.916061 | + | 0.401039i | \(0.868649\pi\) | |||||||
\(608\) | −2.92409e9 | + | 2.49840e9i | −0.527629 | + | 0.450817i | ||||
\(609\) | 5.89687e9i | 1.05794i | ||||||||
\(610\) | 4.41281e9 | + | 1.77947e9i | 0.787156 | + | 0.317422i | ||||
\(611\) | 3.30794e7i | 0.00586696i | ||||||||
\(612\) | −2.21515e9 | + | 1.16172e10i | −0.390636 | + | 2.04866i | ||||
\(613\) | −2.02243e9 | − | 2.02243e9i | −0.354619 | − | 0.354619i | 0.507206 | − | 0.861825i | \(-0.330678\pi\) |
−0.861825 | + | 0.507206i | \(0.830678\pi\) | |||||||
\(614\) | −8.28478e8 | − | 2.69264e9i | −0.144441 | − | 0.469449i | ||||
\(615\) | 6.26912e9 | − | 7.72405e9i | 1.08679 | − | 1.33900i | ||||
\(616\) | −5.50832e9 | − | 4.41193e9i | −0.949481 | − | 0.760494i | ||||
\(617\) | −4.44212e9 | + | 4.44212e9i | −0.761363 | + | 0.761363i | −0.976569 | − | 0.215206i | \(-0.930958\pi\) |
0.215206 | + | 0.976569i | \(0.430958\pi\) | |||||||
\(618\) | −2.21453e9 | + | 4.18292e9i | −0.377418 | + | 0.712886i | ||||
\(619\) | 6.49157e9 | 1.10010 | 0.550051 | − | 0.835131i | \(-0.314608\pi\) | ||||
0.550051 | + | 0.835131i | \(0.314608\pi\) | |||||||
\(620\) | 1.16195e9 | − | 9.79853e8i | 0.195801 | − | 0.165116i | ||||
\(621\) | −4.35890e9 | −0.730393 | ||||||||
\(622\) | −1.68661e9 | + | 3.18576e9i | −0.281028 | + | 0.530820i | ||||
\(623\) | −1.84680e9 | + | 1.84680e9i | −0.305993 | + | 0.305993i | ||||
\(624\) | 9.26746e7 | − | 2.34177e8i | 0.0152691 | − | 0.0385831i | ||||
\(625\) | 5.58689e9 | − | 2.45756e9i | 0.915356 | − | 0.402646i | ||||
\(626\) | 2.07685e9 | + | 6.74997e9i | 0.338373 | + | 1.09974i | ||||
\(627\) | 5.71293e9 | + | 5.71293e9i | 0.925599 | + | 0.925599i | ||||
\(628\) | 8.20648e8 | + | 1.56480e8i | 0.132220 | + | 0.0252116i | ||||
\(629\) | − | 1.32088e10i | − | 2.11634i | ||||||
\(630\) | −8.31680e9 | + | 3.53681e9i | −1.32515 | + | 0.563534i | ||||
\(631\) | 7.92610e8i | 0.125591i | 0.998026 | + | 0.0627953i | \(0.0200015\pi\) | ||||
−0.998026 | + | 0.0627953i | \(0.979998\pi\) | |||||||
\(632\) | 2.02280e8 | + | 1.83025e9i | 0.0318744 | + | 0.288404i | ||||
\(633\) | 5.51309e9 | + | 5.51309e9i | 0.863936 | + | 0.863936i | ||||
\(634\) | −1.17907e10 | + | 3.62778e9i | −1.83749 | + | 0.565365i | ||||
\(635\) | 2.05739e9 | + | 1.66985e9i | 0.318866 | + | 0.258804i | ||||
\(636\) | 8.44798e9 | + | 1.24287e10i | 1.30213 | + | 1.91570i | ||||
\(637\) | 1.41564e6 | − | 1.41564e6i | 0.000217003 | − | 0.000217003i | ||||
\(638\) | −4.72988e9 | − | 2.50410e9i | −0.721070 | − | 0.381751i | ||||
\(639\) | −5.47073e9 | −0.829453 | ||||||||
\(640\) | 6.54370e9 | + | 1.07724e9i | 0.986719 | + | 0.162436i | ||||
\(641\) | 8.14394e9 | 1.22133 | 0.610663 | − | 0.791891i | \(-0.290903\pi\) | ||||
0.610663 | + | 0.791891i | \(0.290903\pi\) | |||||||
\(642\) | −1.30048e10 | − | 6.88501e9i | −1.93968 | − | 1.02691i | ||||
\(643\) | 1.43880e9 | − | 1.43880e9i | 0.213434 | − | 0.213434i | −0.592291 | − | 0.805724i | \(-0.701776\pi\) |
0.805724 | + | 0.592291i | \(0.201776\pi\) | |||||||
\(644\) | 4.15712e9 | + | 6.11598e9i | 0.613327 | + | 0.902331i | ||||
\(645\) | 1.35951e9 | + | 1.30755e10i | 0.199491 | + | 1.91867i | ||||
\(646\) | −6.62037e9 | + | 2.03698e9i | −0.966203 | + | 0.297284i | ||||
\(647\) | 3.41709e8 | + | 3.41709e8i | 0.0496011 | + | 0.0496011i | 0.731472 | − | 0.681871i | \(-0.238834\pi\) |
−0.681871 | + | 0.731472i | \(0.738834\pi\) | |||||||
\(648\) | −2.90519e8 | − | 2.62865e9i | −0.0419433 | − | 0.379508i | ||||
\(649\) | 5.66456e9i | 0.813410i | ||||||||
\(650\) | 9.02496e7 | + | 1.62988e8i | 0.0128899 | + | 0.0232787i | ||||
\(651\) | − | 2.82775e9i | − | 0.401706i | ||||||
\(652\) | −3.67279e9 | − | 7.00324e8i | −0.518955 | − | 0.0989537i | ||||
\(653\) | 8.65560e9 | + | 8.65560e9i | 1.21647 | + | 1.21647i | 0.968860 | + | 0.247609i | \(0.0796449\pi\) |
0.247609 | + | 0.968860i | \(0.420355\pi\) | |||||||
\(654\) | 2.77882e9 | + | 9.03143e9i | 0.388453 | + | 1.26251i | ||||
\(655\) | −7.30893e8 | − | 7.02959e9i | −0.101627 | − | 0.977429i | ||||
\(656\) | −2.94238e9 | + | 7.43501e9i | −0.406944 | + | 1.02830i | ||||
\(657\) | 8.32838e9 | − | 8.32838e9i | 1.14573 | − | 1.14573i | ||||
\(658\) | −7.58248e8 | + | 1.43222e9i | −0.103758 | + | 0.195983i | ||||
\(659\) | −1.25763e10 | −1.71180 | −0.855898 | − | 0.517144i | \(-0.826995\pi\) | ||||
−0.855898 | + | 0.517144i | \(0.826995\pi\) | |||||||
\(660\) | 1.18016e9 | − | 1.38810e10i | 0.159785 | − | 1.87939i | ||||
\(661\) | −8.66760e9 | −1.16733 | −0.583665 | − | 0.811994i | \(-0.698382\pi\) | ||||
−0.583665 | + | 0.811994i | \(0.698382\pi\) | |||||||
\(662\) | 4.71875e8 | − | 8.91301e8i | 0.0632155 | − | 0.119405i | ||||
\(663\) | 3.20721e8 | − | 3.20721e8i | 0.0427396 | − | 0.0427396i | ||||
\(664\) | 3.99403e9 | + | 3.19905e9i | 0.529447 | + | 0.424065i | ||||
\(665\) | −4.10990e9 | − | 3.33574e9i | −0.541945 | − | 0.439863i | ||||
\(666\) | −4.66363e9 | − | 1.51573e10i | −0.611737 | − | 1.98820i | ||||
\(667\) | 3.96540e9 | + | 3.96540e9i | 0.517424 | + | 0.517424i | ||||
\(668\) | 2.28092e9 | − | 1.19621e10i | 0.296069 | − | 1.55271i | ||||
\(669\) | − | 1.21290e10i | − | 1.56615i | ||||||
\(670\) | −7.53153e8 | − | 1.77104e9i | −0.0967435 | − | 0.227492i | ||||
\(671\) | 8.03393e9i | 1.02660i | ||||||||
\(672\) | 9.38028e9 | − | 8.01470e9i | 1.19240 | − | 1.01881i | ||||
\(673\) | 4.18076e9 | + | 4.18076e9i | 0.528691 | + | 0.528691i | 0.920182 | − | 0.391491i | \(-0.128040\pi\) |
−0.391491 | + | 0.920182i | \(0.628040\pi\) | |||||||
\(674\) | 7.09266e9 | − | 2.18229e9i | 0.892276 | − | 0.274538i | ||||
\(675\) | −4.50534e9 | − | 2.94015e9i | −0.563851 | − | 0.367965i | ||||
\(676\) | 6.63790e9 | − | 4.51187e9i | 0.826451 | − | 0.561750i | ||||
\(677\) | 1.82396e9 | − | 1.82396e9i | 0.225920 | − | 0.225920i | −0.585066 | − | 0.810986i | \(-0.698931\pi\) |
0.810986 | + | 0.585066i | \(0.198931\pi\) | |||||||
\(678\) | 1.24232e10 | + | 6.57712e9i | 1.53084 | + | 0.810460i | ||||
\(679\) | −5.95949e9 | −0.730575 | ||||||||
\(680\) | 1.00442e10 | + | 6.46246e9i | 1.22499 | + | 0.788164i | ||||
\(681\) | −2.03020e10 | −2.46333 | ||||||||
\(682\) | 2.26814e9 | + | 1.20080e9i | 0.273794 | + | 0.144953i | ||||
\(683\) | 1.13166e9 | − | 1.13166e9i | 0.135908 | − | 0.135908i | −0.635880 | − | 0.771788i | \(-0.719363\pi\) |
0.771788 | + | 0.635880i | \(0.219363\pi\) | |||||||
\(684\) | −6.87778e9 | + | 4.67492e9i | −0.821773 | + | 0.558570i | ||||
\(685\) | 1.54557e9 | − | 1.90426e9i | 0.183726 | − | 0.226365i | ||||
\(686\) | −8.03425e9 | + | 2.47200e9i | −0.950191 | + | 0.292358i | ||||
\(687\) | 1.19416e10 | + | 1.19416e10i | 1.40512 | + | 1.40512i | ||||
\(688\) | −4.19801e9 | − | 9.69686e9i | −0.491455 | − | 1.13520i | ||||
\(689\) | − | 3.39344e8i | − | 0.0395251i | ||||||
\(690\) | −5.45936e9 | + | 1.35384e10i | −0.632660 | + | 1.56890i | ||||
\(691\) | 1.48594e10i | 1.71328i | 0.515912 | + | 0.856641i | \(0.327453\pi\) | ||||
−0.515912 | + | 0.856641i | \(0.672547\pi\) | |||||||
\(692\) | 1.35098e9 | − | 7.08511e9i | 0.154981 | − | 0.812784i | ||||
\(693\) | −1.07903e10 | − | 1.07903e10i | −1.23159 | − | 1.23159i | ||||
\(694\) | −2.32599e9 | − | 7.55969e9i | −0.264149 | − | 0.858510i | ||||
\(695\) | −4.23290e9 | + | 4.40111e8i | −0.478290 | + | 0.0497296i | ||||
\(696\) | 5.84908e9 | − | 7.30261e9i | 0.657590 | − | 0.821005i | ||||
\(697\) | −1.01828e10 | + | 1.01828e10i | −1.13907 | + | 1.13907i | ||||
\(698\) | 6.75486e9 | − | 1.27589e10i | 0.751835 | − | 1.42010i | ||||
\(699\) | −6.54665e9 | −0.725019 | ||||||||
\(700\) | 1.71452e8 | + | 9.12550e9i | 0.0188929 | + | 1.00557i | ||||
\(701\) | −1.56473e9 | −0.171564 | −0.0857822 | − | 0.996314i | \(-0.527339\pi\) | ||||
−0.0857822 | + | 0.996314i | \(0.527339\pi\) | |||||||
\(702\) | 7.68361e7 | − | 1.45132e8i | 0.00838273 | − | 0.0158337i | ||||
\(703\) | 6.56774e9 | − | 6.56774e9i | 0.712972 | − | 0.712972i | ||||
\(704\) | 2.44526e9 | + | 1.09274e10i | 0.264131 | + | 1.18035i | ||||
\(705\) | −3.18178e9 | + | 3.30821e8i | −0.341985 | + | 0.0355575i | ||||
\(706\) | −6.87341e8 | − | 2.23392e9i | −0.0735115 | − | 0.238920i | ||||
\(707\) | −4.49325e9 | − | 4.49325e9i | −0.478182 | − | 0.478182i | ||||
\(708\) | −9.72771e9 | − | 1.85487e9i | −1.03014 | − | 0.196425i | ||||
\(709\) | 1.64082e10i | 1.72902i | 0.502619 | + | 0.864508i | \(0.332370\pi\) | ||||
−0.502619 | + | 0.864508i | \(0.667630\pi\) | |||||||
\(710\) | −2.06625e9 | + | 5.12398e9i | −0.216660 | + | 0.537284i | ||||
\(711\) | 3.98154e9i | 0.415440i | ||||||||
\(712\) | 4.11889e9 | − | 4.55221e8i | 0.427662 | − | 0.0472653i | ||||
\(713\) | −1.90155e9 | − | 1.90155e9i | −0.196469 | − | 0.196469i | ||||
\(714\) | 2.12377e10 | − | 6.53447e9i | 2.18355 | − | 0.671841i | ||||
\(715\) | −1.98241e8 | + | 2.44249e8i | −0.0202826 | + | 0.0249897i | ||||
\(716\) | −9.60270e9 | − | 1.41276e10i | −0.977682 | − | 1.43837i | ||||
\(717\) | 1.46330e10 | − | 1.46330e10i | 1.48257 | − | 1.48257i | ||||
\(718\) | −8.52065e9 | − | 4.51102e9i | −0.859087 | − | 0.454820i | ||||
\(719\) | 1.09801e10 | 1.10168 | 0.550840 | − | 0.834611i | \(-0.314308\pi\) | ||||
0.550840 | + | 0.834611i | \(0.314308\pi\) | |||||||
\(720\) | 1.38076e10 | + | 3.86946e9i | 1.37865 | + | 0.386355i | ||||
\(721\) | 5.23573e9 | 0.520240 | ||||||||
\(722\) | 4.63306e9 | + | 2.45284e9i | 0.458128 | + | 0.242544i | ||||
\(723\) | −2.03736e8 | + | 2.03736e8i | −0.0200486 | + | 0.0200486i | ||||
\(724\) | −2.06168e9 | − | 3.03316e9i | −0.201900 | − | 0.297037i | ||||
\(725\) | 1.42389e9 | + | 6.77334e9i | 0.138770 | + | 0.660115i | ||||
\(726\) | 7.11495e9 | − | 2.18915e9i | 0.690071 | − | 0.212323i | ||||
\(727\) | 9.08491e8 | + | 9.08491e8i | 0.0876900 | + | 0.0876900i | 0.749591 | − | 0.661901i | \(-0.230250\pi\) |
−0.661901 | + | 0.749591i | \(0.730250\pi\) | |||||||
\(728\) | −2.76914e8 | + | 3.06046e7i | −0.0266002 | + | 0.00293986i | ||||
\(729\) | − | 1.67012e10i | − | 1.59662i | ||||||
\(730\) | −4.65495e9 | − | 1.09461e10i | −0.442879 | − | 1.04143i | ||||
\(731\) | − | 1.90300e10i | − | 1.80189i | ||||||
\(732\) | −1.37966e10 | − | 2.63072e9i | −1.30012 | − | 0.247906i | ||||
\(733\) | 4.91203e9 | + | 4.91203e9i | 0.460678 | + | 0.460678i | 0.898878 | − | 0.438200i | \(-0.144384\pi\) |
−0.438200 | + | 0.898878i | \(0.644384\pi\) | |||||||
\(734\) | 4.99546e9 | + | 1.62357e10i | 0.466272 | + | 1.51543i | ||||
\(735\) | 1.50323e8 | + | 1.22008e8i | 0.0139643 | + | 0.0113340i | ||||
\(736\) | 9.18296e8 | − | 1.16974e10i | 0.0849005 | − | 1.08148i | ||||
\(737\) | 2.29776e9 | − | 2.29776e9i | 0.211431 | − | 0.211431i | ||||
\(738\) | −8.08964e9 | + | 1.52801e10i | −0.740853 | + | 1.39936i | ||||
\(739\) | 7.10183e9 | 0.647314 | 0.323657 | − | 0.946175i | \(-0.395088\pi\) | ||||
0.323657 | + | 0.946175i | \(0.395088\pi\) | |||||||
\(740\) | −1.59580e10 | − | 1.35674e9i | −1.44766 | − | 0.123080i | ||||
\(741\) | 3.18942e8 | 0.0287970 | ||||||||
\(742\) | 7.77846e9 | − | 1.46924e10i | 0.699005 | − | 1.32032i | ||||
\(743\) | −1.17829e10 | + | 1.17829e10i | −1.05388 | + | 1.05388i | −0.0554194 | + | 0.998463i | \(0.517650\pi\) |
−0.998463 | + | 0.0554194i | \(0.982350\pi\) | |||||||
\(744\) | −2.80484e9 | + | 3.50186e9i | −0.249691 | + | 0.311740i | ||||
\(745\) | −1.03229e9 | − | 9.92832e9i | −0.0914645 | − | 0.879688i | ||||
\(746\) | 1.24306e9 | + | 4.04008e9i | 0.109625 | + | 0.356290i | ||||
\(747\) | 7.82394e9 | + | 7.82394e9i | 0.686758 | + | 0.686758i | ||||
\(748\) | −3.77727e9 | + | 1.98096e10i | −0.330006 | + | 1.73069i | ||||
\(749\) | 1.62779e10i | 1.41551i | ||||||||
\(750\) | −1.47746e10 | + | 1.03108e10i | −1.27880 | + | 0.892435i | ||||
\(751\) | 2.06162e10i | 1.77610i | 0.459744 | + | 0.888052i | \(0.347941\pi\) | ||||
−0.459744 | + | 0.888052i | \(0.652059\pi\) | |||||||
\(752\) | 2.35962e9 | − | 1.02154e9i | 0.202339 | − | 0.0875975i | ||||
\(753\) | −2.58742e9 | − | 2.58742e9i | −0.220843 | − | 0.220843i | ||||
\(754\) | −2.01929e8 | + | 6.21303e7i | −0.0171554 | + | 0.00527842i | ||||
\(755\) | −2.75149e8 | − | 2.64633e9i | −0.0232677 | − | 0.223784i | ||||
\(756\) | 6.65344e9 | − | 4.52244e9i | 0.560041 | − | 0.380668i | ||||
\(757\) | −1.60631e9 | + | 1.60631e9i | −0.134584 | + | 0.134584i | −0.771189 | − | 0.636606i | \(-0.780338\pi\) |
0.636606 | + | 0.771189i | \(0.280338\pi\) | |||||||
\(758\) | 1.49745e10 | + | 7.92786e9i | 1.24885 | + | 0.661171i | ||||
\(759\) | −2.46478e10 | −2.04613 | ||||||||
\(760\) | 1.78093e9 | + | 8.20754e9i | 0.147163 | + | 0.678212i | ||||
\(761\) | 2.01084e10 | 1.65398 | 0.826991 | − | 0.562215i | \(-0.190051\pi\) | ||||
0.826991 | + | 0.562215i | \(0.190051\pi\) | |||||||
\(762\) | −6.91272e9 | − | 3.65975e9i | −0.565987 | − | 0.299646i | ||||
\(763\) | 7.39139e9 | − | 7.39139e9i | 0.602407 | − | 0.602407i | ||||
\(764\) | 1.07712e10 | − | 7.32134e9i | 0.873851 | − | 0.593969i | ||||
\(765\) | 2.00516e10 | + | 1.62746e10i | 1.61932 | + | 1.31430i | ||||
\(766\) | −1.05585e10 | + | 3.24867e9i | −0.848792 | + | 0.261159i | ||||
\(767\) | 1.58121e8 | + | 1.58121e8i | 0.0126533 | + | 0.0126533i | ||||
\(768\) | −1.95662e10 | + | 6.21041e8i | −1.55863 | + | 0.0494716i | ||||
\(769\) | − | 2.40460e10i | − | 1.90678i | −0.301743 | − | 0.953389i | \(-0.597569\pi\) | ||
0.301743 | − | 0.953389i | \(-0.402431\pi\) | |||||||
\(770\) | −1.41818e10 | + | 6.03098e9i | −1.11947 | + | 0.476069i | ||||
\(771\) | − | 2.31829e10i | − | 1.82170i | ||||||
\(772\) | −3.31824e9 | + | 1.74022e10i | −0.259565 | + | 1.36127i | ||||
\(773\) | −1.46690e10 | − | 1.46690e10i | −1.14228 | − | 1.14228i | −0.988032 | − | 0.154247i | \(-0.950705\pi\) |
−0.154247 | − | 0.988032i | \(-0.549295\pi\) | |||||||
\(774\) | −6.71894e9 | − | 2.18372e10i | −0.520844 | − | 1.69279i | ||||
\(775\) | −6.82806e8 | − | 3.24805e9i | −0.0526916 | − | 0.250650i | ||||
\(776\) | 7.38017e9 | + | 5.91120e9i | 0.566957 | + | 0.454109i | ||||
\(777\) | −2.10688e10 | + | 2.10688e10i | −1.61127 | + | 1.61127i | ||||
\(778\) | 2.41692e9 | − | 4.56520e9i | 0.184007 | − | 0.347561i | ||||
\(779\) | −1.01263e10 | −0.767483 | ||||||||
\(780\) | −3.54532e8 | − | 4.20418e8i | −0.0267501 | − | 0.0317213i | ||||
\(781\) | −9.32869e9 | −0.700716 | ||||||||
\(782\) | 9.88728e9 | − | 1.86756e10i | 0.739356 | − | 1.39653i | ||||
\(783\) | 4.31387e9 | − | 4.31387e9i | 0.321145 | − | 0.321145i | ||||
\(784\) | −1.44698e8 | − | 5.72636e7i | −0.0107240 | − | 0.00424397i | ||||
\(785\) | 1.14966e9 | − | 1.41646e9i | 0.0848250 | − | 0.104511i | ||||
\(786\) | 6.13510e9 | + | 1.99397e10i | 0.450654 | + | 1.46467i | ||||
\(787\) | −9.60960e9 | − | 9.60960e9i | −0.702739 | − | 0.702739i | 0.262259 | − | 0.964998i | \(-0.415533\pi\) |
−0.964998 | + | 0.262259i | \(0.915533\pi\) | |||||||
\(788\) | 6.37775e9 | + | 1.21610e9i | 0.464329 | + | 0.0885377i | ||||
\(789\) | 4.07344e10i | 2.95251i | ||||||||
\(790\) | 3.72919e9 | + | 1.50380e9i | 0.269104 | + | 0.108516i | ||||
\(791\) | − | 1.55500e10i | − | 1.11715i | ||||||
\(792\) | 2.65972e9 | + | 2.40654e10i | 0.190238 | + | 1.72130i | ||||
\(793\) | 2.24259e8 | + | 2.24259e8i | 0.0159696 | + | 0.0159696i | ||||
\(794\) | −1.21747e10 | + | 3.74596e9i | −0.863152 | + | 0.265577i | ||||
\(795\) | 3.26402e10 | − | 3.39372e9i | 2.30392 | − | 0.239547i | ||||
\(796\) | 7.06109e9 | + | 1.03883e10i | 0.496222 | + | 0.730045i | ||||
\(797\) | −4.84850e9 | + | 4.84850e9i | −0.339237 | + | 0.339237i | −0.856080 | − | 0.516843i | \(-0.827107\pi\) |
0.516843 | + | 0.856080i | \(0.327107\pi\) | |||||||
\(798\) | 1.38090e10 | + | 7.31081e9i | 0.961951 | + | 0.509278i | ||||
\(799\) | 4.63073e9 | 0.321170 | ||||||||
\(800\) | 8.83923e9 | − | 1.14710e10i | 0.610379 | − | 0.792110i | ||||
\(801\) | 8.96028e9 | 0.616038 | ||||||||
\(802\) | 9.18568e9 | + | 4.86311e9i | 0.628783 | + | 0.332892i | ||||
\(803\) | 1.42016e10 | − | 1.42016e10i | 0.967903 | − | 0.967903i | ||||
\(804\) | 3.19352e9 | + | 4.69833e9i | 0.216708 | + | 0.318822i | ||||
\(805\) | 1.60617e10 | − | 1.67000e9i | 1.08519 | − | 0.112831i | ||||
\(806\) | 9.68322e7 | − | 2.97936e7i | 0.00651399 | − | 0.00200425i | ||||
\(807\) | −5.61892e9 | − | 5.61892e9i | −0.376353 | − | 0.376353i | ||||
\(808\) | 1.10755e9 | + | 1.00212e10i | 0.0738624 | + | 0.668316i | ||||
\(809\) | − | 5.88659e8i | − | 0.0390880i | −0.999809 | − | 0.0195440i | \(-0.993779\pi\) | ||
0.999809 | − | 0.0195440i | \(-0.00622145\pi\) | |||||||
\(810\) | −5.35596e9 | − | 2.15980e9i | −0.354111 | − | 0.142796i | ||||
\(811\) | 2.13845e10i | 1.40775i | 0.710323 | + | 0.703876i | \(0.248549\pi\) | ||||
−0.710323 | + | 0.703876i | \(0.751451\pi\) | |||||||
\(812\) | −1.01670e10 | − | 1.93863e9i | −0.666416 | − | 0.127071i | ||||
\(813\) | −2.54720e9 | − | 2.54720e9i | −0.166244 | − | 0.166244i | ||||
\(814\) | −7.95244e9 | − | 2.58462e10i | −0.516791 | − | 1.67962i | ||||
\(815\) | −5.14526e9 | + | 6.33936e9i | −0.332932 | + | 0.410198i | ||||
\(816\) | −3.27820e10 | − | 1.29734e10i | −2.11213 | − | 0.835866i | ||||
\(817\) | 9.46221e9 | − | 9.46221e9i | 0.607037 | − | 0.607037i | ||||
\(818\) | 2.15538e9 | − | 4.07118e9i | 0.137685 | − | 0.260066i | ||||
\(819\) | −6.02401e8 | −0.0383171 | ||||||||
\(820\) | 1.12563e10 | + | 1.33481e10i | 0.712927 | + | 0.845417i | ||||
\(821\) | −5.25130e9 | −0.331181 | −0.165591 | − | 0.986195i | \(-0.552953\pi\) | ||||
−0.165591 | + | 0.986195i | \(0.552953\pi\) | |||||||
\(822\) | −3.38735e9 | + | 6.39820e9i | −0.212720 | + | 0.401797i | ||||
\(823\) | 7.90663e9 | − | 7.90663e9i | 0.494415 | − | 0.494415i | −0.415279 | − | 0.909694i | \(-0.636316\pi\) |
0.909694 | + | 0.415279i | \(0.136316\pi\) | |||||||
\(824\) | −6.48386e9 | − | 5.19330e9i | −0.403728 | − | 0.323369i | ||||
\(825\) | −2.54759e10 | − | 1.66254e10i | −1.57958 | − | 1.03082i | ||||
\(826\) | 3.22160e9 | + | 1.04705e10i | 0.198903 | + | 0.646453i | ||||
\(827\) | 1.23840e10 | + | 1.23840e10i | 0.761360 | + | 0.761360i | 0.976568 | − | 0.215208i | \(-0.0690429\pi\) |
−0.215208 | + | 0.976568i | \(0.569043\pi\) | |||||||
\(828\) | 4.75199e9 | − | 2.49214e10i | 0.290917 | − | 1.52569i | ||||
\(829\) | − | 2.94521e10i | − | 1.79546i | −0.440549 | − | 0.897729i | \(-0.645216\pi\) | ||
0.440549 | − | 0.897729i | \(-0.354784\pi\) | |||||||
\(830\) | 1.02831e10 | − | 4.37301e9i | 0.624239 | − | 0.265465i | ||||
\(831\) | − | 3.05125e9i | − | 0.184448i | ||||||
\(832\) | 3.73284e8 | + | 2.36770e8i | 0.0224702 | + | 0.0142526i | ||||
\(833\) | −1.98174e8 | − | 1.98174e8i | −0.0118792 | − | 0.0118792i | ||||
\(834\) | 1.20068e10 | − | 3.69428e9i | 0.716713 | − | 0.220521i | ||||
\(835\) | −2.06470e10 | − | 1.67579e10i | −1.22731 | − | 0.996130i | ||||
\(836\) | −1.17280e10 | + | 7.97168e9i | −0.694228 | + | 0.471876i | ||||
\(837\) | −2.06865e9 | + | 2.06865e9i | −0.121940 | + | 0.121940i | ||||
\(838\) | 2.83462e9 | + | 1.50071e9i | 0.166395 | + | 0.0880933i | ||||
\(839\) | 9.55178e9 | 0.558364 | 0.279182 | − | 0.960238i | \(-0.409937\pi\) | ||||
0.279182 | + | 0.960238i | \(0.409937\pi\) | |||||||
\(840\) | −5.71310e9 | − | 2.63292e10i | −0.332579 | − | 1.53271i | ||||
\(841\) | 9.40102e9 | 0.544991 | ||||||||
\(842\) | −8.02468e9 | − | 4.24845e9i | −0.463271 | − | 0.245266i | ||||
\(843\) | −2.97005e10 | + | 2.97005e10i | −1.70753 | + | 1.70753i | ||||
\(844\) | −1.13177e10 | + | 7.69282e9i | −0.647979 | + | 0.440440i | ||||
\(845\) | −1.81251e9 | − | 1.74324e10i | −0.103343 | − | 0.993934i | ||||
\(846\) | 5.31383e9 | − | 1.63498e9i | 0.301725 | − | 0.0928357i | ||||
\(847\) | −5.82293e9 | − | 5.82293e9i | −0.329268 | − | 0.329268i | ||||
\(848\) | −2.42061e10 | + | 1.04794e10i | −1.36313 | + | 0.590135i | ||||
\(849\) | − | 1.43099e10i | − | 0.802528i | ||||||
\(850\) | 2.28164e10 | − | 1.26339e10i | 1.27433 | − | 0.705620i | ||||
\(851\) | 2.83358e10i | 1.57610i | ||||||||
\(852\) | 3.05469e9 | − | 1.60201e10i | 0.169211 | − | 0.887414i | ||||
\(853\) | 1.98080e10 | + | 1.98080e10i | 1.09275 | + | 1.09275i | 0.995234 | + | 0.0975141i | \(0.0310891\pi\) |
0.0975141 | + | 0.995234i | \(0.468911\pi\) | |||||||
\(854\) | 4.56913e9 | + | 1.48501e10i | 0.251033 | + | 0.815881i | ||||
\(855\) | 1.87801e9 | + | 1.80623e10i | 0.102758 | + | 0.988308i | ||||
\(856\) | 1.61460e10 | − | 2.01584e10i | 0.879848 | − | 1.09849i | ||||
\(857\) | −1.24882e10 | + | 1.24882e10i | −0.677744 | + | 0.677744i | −0.959489 | − | 0.281746i | \(-0.909087\pi\) |
0.281746 | + | 0.959489i | \(0.409087\pi\) | |||||||
\(858\) | 4.34477e8 | − | 8.20663e8i | 0.0234834 | − | 0.0443567i | ||||
\(859\) | 1.04650e10 | 0.563331 | 0.281665 | − | 0.959513i | \(-0.409113\pi\) | ||||
0.281665 | + | 0.959513i | \(0.409113\pi\) | |||||||
\(860\) | −2.29908e10 | − | 1.95467e9i | −1.23257 | − | 0.104792i | ||||
\(861\) | 3.24843e10 | 1.73446 | ||||||||
\(862\) | −7.11000e9 | + | 1.34297e10i | −0.378089 | + | 0.714154i | ||||
\(863\) | 8.40125e9 | − | 8.40125e9i | 0.444945 | − | 0.444945i | −0.448725 | − | 0.893670i | \(-0.648122\pi\) |
0.893670 | + | 0.448725i | \(0.148122\pi\) | |||||||
\(864\) | −1.27253e10 | − | 9.98994e8i | −0.671230 | − | 0.0526944i | ||||
\(865\) | −1.22291e10 | − | 9.92562e9i | −0.642450 | − | 0.521436i | ||||
\(866\) | −6.17110e9 | − | 2.00567e10i | −0.322887 | − | 1.04941i | ||||
\(867\) | −2.37374e10 | − | 2.37374e10i | −1.23699 | − | 1.23699i | ||||
\(868\) | 4.87541e9 | + | 9.29638e8i | 0.253042 | + | 0.0482497i | ||||
\(869\) | 6.78934e9i | 0.350960i | ||||||||
\(870\) | −7.99553e9 | − | 1.88014e10i | −0.411652 | − | 0.967997i | ||||
\(871\) | − | 1.28280e8i | − | 0.00657800i | ||||||
\(872\) | −1.64849e10 | + | 1.82192e9i | −0.841936 | + | 0.0930509i | ||||
\(873\) | 1.44571e10 | + | 1.44571e10i | 0.735412 | + | 0.735412i | ||||
\(874\) | 1.42022e10 | − | 4.36978e9i | 0.719558 | − | 0.221396i | ||||
\(875\) | 1.77278e10 | + | 9.10778e9i | 0.894593 | + | 0.459605i | ||||
\(876\) | 1.97379e10 | + | 2.90386e10i | 0.992058 | + | 1.45952i | ||||
\(877\) | 7.17348e9 | − | 7.17348e9i | 0.359113 | − | 0.359113i | −0.504373 | − | 0.863486i | \(-0.668276\pi\) |
0.863486 | + | 0.504373i | \(0.168276\pi\) | |||||||
\(878\) | −1.55458e9 | − | 8.23028e8i | −0.0775142 | − | 0.0410378i | ||||
\(879\) | 4.89399e10 | 2.43054 | ||||||||
\(880\) | 2.35447e10 | + | 6.59820e9i | 1.16467 | + | 0.326390i | ||||
\(881\) | −3.73437e10 | −1.83993 | −0.919965 | − | 0.392001i | \(-0.871783\pi\) | ||||
−0.919965 | + | 0.392001i | \(0.871783\pi\) | |||||||
\(882\) | −2.97377e8 | − | 1.57438e8i | −0.0145938 | − | 0.00772626i | ||||
\(883\) | −2.36186e10 | + | 2.36186e10i | −1.15449 | + | 1.15449i | −0.168853 | + | 0.985641i | \(0.554006\pi\) |
−0.985641 | + | 0.168853i | \(0.945994\pi\) | |||||||
\(884\) | 4.47527e8 | + | 6.58404e8i | 0.0217889 | + | 0.0320560i | ||||
\(885\) | −1.36277e10 | + | 1.67903e10i | −0.660876 | + | 0.814251i | ||||
\(886\) | 1.59023e10 | − | 4.89288e9i | 0.768144 | − | 0.236345i | ||||
\(887\) | −1.18956e10 | − | 1.18956e10i | −0.572339 | − | 0.572339i | 0.360443 | − | 0.932781i | \(-0.382626\pi\) |
−0.932781 | + | 0.360443i | \(0.882626\pi\) | |||||||
\(888\) | 4.69895e10 | − | 5.19329e9i | 2.25193 | − | 0.248884i | ||||
\(889\) | 8.65259e9i | 0.413038i | ||||||||
\(890\) | 3.38423e9 | − | 8.39237e9i | 0.160915 | − | 0.399043i | ||||
\(891\) | − | 9.75102e9i | − | 0.461826i | ||||||
\(892\) | 2.09119e10 | + | 3.98746e9i | 0.986544 | + | 0.188113i | ||||
\(893\) | 2.30252e9 | + | 2.30252e9i | 0.108199 | + | 0.108199i | ||||
\(894\) | 8.66499e9 | + | 2.81620e10i | 0.405589 | + | 1.31820i | ||||
\(895\) | −3.71016e10 | + | 3.85759e9i | −1.72986 | + | 0.179861i | ||||
\(896\) | 1.07346e10 | + | 1.88077e10i | 0.498548 | + | 0.873489i | ||||
\(897\) | −6.88021e8 | + | 6.88021e8i | −0.0318294 | + | 0.0318294i | ||||
\(898\) | −6.58973e9 | + | 1.24470e10i | −0.303669 | + | 0.573586i | ||||
\(899\) | 3.76380e9 | 0.172770 | ||||||||
\(900\) | 2.17216e10 | − | 2.25534e10i | 0.993212 | − | 1.03125i | ||||
\(901\) | −4.75042e10 | −2.16369 | ||||||||
\(902\) | −1.37945e10 | + | 2.60557e10i | −0.625867 | + | 1.18217i | ||||
\(903\) | −3.03541e10 | + | 3.03541e10i | −1.37186 | + | 1.37186i | ||||
\(904\) | −1.54240e10 | + | 1.92569e10i | −0.694396 | + | 0.866957i | ||||
\(905\) | −7.96564e9 | + | 8.28218e8i | −0.357232 | + | 0.0371428i | ||||
\(906\) | 2.30960e9 | + | 7.50642e9i | 0.103178 | + | 0.335339i | ||||
\(907\) | 1.00274e10 | + | 1.00274e10i | 0.446234 | + | 0.446234i | 0.894101 | − | 0.447866i | \(-0.147816\pi\) |
−0.447866 | + | 0.894101i | \(0.647816\pi\) | |||||||
\(908\) | 6.67438e9 | − | 3.50032e10i | 0.295876 | − | 1.55170i | ||||
\(909\) | 2.18003e10i | 0.962696i | ||||||||
\(910\) | −2.27523e8 | + | 5.64221e8i | −0.0100087 | + | 0.0248201i | ||||
\(911\) | − | 1.51202e10i | − | 0.662586i | −0.943528 | − | 0.331293i | \(-0.892515\pi\) | ||
0.943528 | − | 0.331293i | \(-0.107485\pi\) | |||||||
\(912\) | −9.84937e9 | − | 2.27507e10i | −0.429958 | − | 0.993147i | ||||
\(913\) | 1.33414e10 | + | 1.33414e10i | 0.580168 | + | 0.580168i | ||||
\(914\) | −3.49939e10 | + | 1.07670e10i | −1.51594 | + | 0.466428i | ||||
\(915\) | −1.93278e10 | + | 2.38134e10i | −0.834084 | + | 1.02766i | ||||
\(916\) | −2.45147e10 | + | 1.66630e10i | −1.05388 | + | 0.716338i | ||||
\(917\) | 1.63188e10 | − | 1.63188e10i | 0.698868 | − | 0.698868i | ||||
\(918\) | −2.03168e10 | − | 1.07562e10i | −0.866773 | − | 0.458889i | ||||
\(919\) | 2.77128e10 | 1.17781 | 0.588905 | − | 0.808202i | \(-0.299559\pi\) | ||||
0.588905 | + | 0.808202i | \(0.299559\pi\) | |||||||
\(920\) | −2.15471e10 | − | 1.38635e10i | −0.912287 | − | 0.586968i | ||||
\(921\) | 1.81593e10 | 0.765932 | ||||||||
\(922\) | −1.22015e8 | − | 6.45975e7i | −0.00512691 | − | 0.00271430i | ||||
\(923\) | −2.60401e8 | + | 2.60401e8i | −0.0109003 | + | 0.0109003i | ||||
\(924\) | 3.76226e10 | − | 2.55726e10i | 1.56890 | − | 1.06641i | ||||
\(925\) | −1.91130e10 | + | 2.92878e10i | −0.794021 | + | 1.21672i | ||||
\(926\) | −1.55988e9 | + | 4.79948e8i | −0.0645583 | + | 0.0198635i | ||||
\(927\) | −1.27013e10 | − | 1.27013e10i | −0.523684 | − | 0.523684i | ||||
\(928\) | 1.06677e10 | + | 1.24854e10i | 0.438182 | + | 0.512841i | ||||
\(929\) | − | 5.82760e9i | − | 0.238471i | −0.992866 | − | 0.119235i | \(-0.961956\pi\) | ||
0.992866 | − | 0.119235i | \(-0.0380443\pi\) | |||||||
\(930\) | 3.83413e9 | + | 9.01595e9i | 0.156307 | + | 0.367554i | ||||
\(931\) | − | 1.97074e8i | − | 0.00800398i | ||||||
\(932\) | 2.15225e9 | − | 1.12873e10i | 0.0870836 | − | 0.456703i | ||||
\(933\) | −1.64298e10 | − | 1.64298e10i | −0.662287 | − | 0.662287i | ||||
\(934\) | −1.69511e9 | − | 5.50926e9i | −0.0680742 | − | 0.221248i | ||||
\(935\) | 3.41920e10 | + | 2.77515e10i | 1.36799 | + | 1.11031i | ||||
\(936\) | 7.46007e8 | + | 5.97520e8i | 0.0297356 | + | 0.0238170i | ||||
\(937\) | 2.82676e10 | − | 2.82676e10i | 1.12254 | − | 1.12254i | 0.131178 | − | 0.991359i | \(-0.458124\pi\) |
0.991359 | − | 0.131178i | \(-0.0418761\pi\) | |||||||
\(938\) | 2.94043e9 | − | 5.55404e9i | 0.116333 | − | 0.219735i | ||||
\(939\) | −4.55222e10 | −1.79429 | ||||||||
\(940\) | 4.75646e8 | − | 5.59455e9i | 0.0186783 | − | 0.219694i | ||||
\(941\) | 4.05388e10 | 1.58601 | 0.793007 | − | 0.609212i | \(-0.208514\pi\) | ||||
0.793007 | + | 0.609212i | \(0.208514\pi\) | |||||||
\(942\) | −2.51965e9 | + | 4.75924e9i | −0.0982115 | + | 0.185507i | ||||
\(943\) | 2.18444e10 | − | 2.18444e10i | 0.848298 | − | 0.848298i | ||||
\(944\) | 6.39607e9 | − | 1.61620e10i | 0.247463 | − | 0.625308i | ||||
\(945\) | −1.81675e9 | − | 1.74732e10i | −0.0700301 | − | 0.673536i | ||||
\(946\) | −1.14572e10 | − | 3.72369e10i | −0.440005 | − | 1.43006i | ||||
\(947\) | 3.34410e10 | + | 3.34410e10i | 1.27954 | + | 1.27954i | 0.940924 | + | 0.338617i | \(0.109959\pi\) |
0.338617 | + | 0.940924i | \(0.390041\pi\) | |||||||
\(948\) | −1.16593e10 | − | 2.22318e9i | −0.444470 | − | 0.0847510i | ||||
\(949\) | − | 7.92846e8i | − | 0.0301132i | ||||||
\(950\) | 1.76268e10 | + | 5.06303e9i | 0.667024 | + | 0.191592i | ||||
\(951\) | − | 7.95169e10i | − | 2.99797i | ||||||
\(952\) | 4.28429e9 | + | 3.87647e10i | 0.160934 | + | 1.45615i | ||||
\(953\) | −1.84343e10 | − | 1.84343e10i | −0.689926 | − | 0.689926i | 0.272290 | − | 0.962215i | \(-0.412219\pi\) |
−0.962215 | + | 0.272290i | \(0.912219\pi\) | |||||||
\(954\) | −5.45118e10 | + | 1.67724e10i | −2.03269 | + | 0.625424i | ||||
\(955\) | −2.94113e9 | − | 2.82872e10i | −0.109270 | − | 1.05094i | ||||
\(956\) | 2.04185e10 | + | 3.00398e10i | 0.755825 | + | 1.11197i | ||||
\(957\) | 2.43932e10 | − | 2.43932e10i | 0.899657 | − | 0.899657i | ||||
\(958\) | −2.61103e10 | − | 1.38234e10i | −0.959474 | − | 0.507967i | ||||
\(959\) | 8.00857e9 | 0.293217 | ||||||||
\(960\) | −1.90408e10 | + | 3.82726e10i | −0.694602 | + | 1.39617i | ||||
\(961\) | 2.57077e10 | 0.934398 | ||||||||
\(962\) | −9.43456e8 | − | 4.99487e8i | −0.0341672 | − | 0.0180889i | ||||
\(963\) | 3.94885e10 | − | 3.94885e10i | 1.42488 | − | 1.42488i | ||||
\(964\) | −2.84288e8 | − | 4.18246e8i | −0.0102209 | − | 0.0150370i | ||||
\(965\) | 3.00368e10 | + | 2.43790e10i | 1.07599 | + | 0.873314i | ||||
\(966\) | −4.55596e10 | + | 1.40179e10i | −1.62615 | + | 0.500339i | ||||
\(967\) | −1.82599e10 | − | 1.82599e10i | −0.649390 | − | 0.649390i | 0.303456 | − | 0.952846i | \(-0.401860\pi\) |
−0.952846 | + | 0.303456i | \(0.901860\pi\) | |||||||
\(968\) | 1.43530e9 | + | 1.29868e10i | 0.0508604 | + | 0.460191i | ||||
\(969\) | − | 4.46482e10i | − | 1.57641i | ||||||
\(970\) | 1.90011e10 | − | 8.08044e9i | 0.668464 | − | 0.284272i | ||||
\(971\) | − | 1.37403e9i | − | 0.0481646i | −0.999710 | − | 0.0240823i | \(-0.992334\pi\) | ||
0.999710 | − | 0.0240823i | \(-0.00766638\pi\) | |||||||
\(972\) | 3.56811e10 | + | 6.80363e9i | 1.24625 | + | 0.237634i | ||||
\(973\) | −9.82644e9 | − | 9.82644e9i | −0.341980 | − | 0.341980i | ||||
\(974\) | −1.14501e10 | − | 3.72140e10i | −0.397058 | − | 1.29048i | ||||
\(975\) | −1.17522e9 | + | 2.47054e8i | −0.0406071 | + | 0.00853642i | ||||
\(976\) | 9.07142e9 | − | 2.29223e10i | 0.312321 | − | 0.789194i | ||||
\(977\) | −3.84706e10 | + | 3.84706e10i | −1.31977 | + | 1.31977i | −0.405812 | + | 0.913956i | \(0.633011\pi\) |
−0.913956 | + | 0.405812i | \(0.866989\pi\) | |||||||
\(978\) | 1.12766e10 | − | 2.12999e10i | 0.385473 | − | 0.728101i | ||||
\(979\) | 1.52791e10 | 0.520425 | ||||||||
\(980\) | −2.59776e8 | + | 2.19066e8i | −0.00881675 | + | 0.00743503i | ||||
\(981\) | −3.58614e10 | −1.21279 | ||||||||
\(982\) | −1.82836e10 | + | 3.45350e10i | −0.616130 | + | 1.16378i | ||||
\(983\) | −2.33351e10 | + | 2.33351e10i | −0.783560 | + | 0.783560i | −0.980430 | − | 0.196869i | \(-0.936923\pi\) |
0.196869 | + | 0.980430i | \(0.436923\pi\) | |||||||
\(984\) | −4.02282e10 | − | 3.22211e10i | −1.34601 | − | 1.07810i | ||||
\(985\) | 8.93467e9 | − | 1.10082e10i | 0.297887 | − | 0.367020i | ||||
\(986\) | 8.69752e9 | + | 2.82678e10i | 0.288952 | + | 0.939123i | ||||
\(987\) | −7.38631e9 | − | 7.38631e9i | −0.244522 | − | 0.244522i | ||||
\(988\) | −1.04854e8 | + | 5.49897e8i | −0.00345888 | + | 0.0181398i | ||||
\(989\) | 4.08237e10i | 1.34192i | ||||||||
\(990\) | 4.90341e10 | + | 1.97731e10i | 1.60611 | + | 0.647665i | ||||
\(991\) | 3.00741e10i | 0.981599i | 0.871272 | + | 0.490800i | \(0.163295\pi\) | ||||
−0.871272 | + | 0.490800i | \(0.836705\pi\) | |||||||
\(992\) | −5.11555e9 | − | 5.98716e9i | −0.166380 | − | 0.194729i | ||||
\(993\) | 4.59667e9 | + | 4.59667e9i | 0.148978 | + | 0.148978i | ||||
\(994\) | −1.72434e10 | + | 5.30549e9i | −0.556890 | + | 0.171346i | ||||
\(995\) | 2.72817e10 | − | 2.83658e9i | 0.877991 | − | 0.0912881i | ||||
\(996\) | −2.72798e10 | + | 1.85424e10i | −0.874848 | + | 0.594647i | ||||
\(997\) | −1.35996e10 | + | 1.35996e10i | −0.434604 | + | 0.434604i | −0.890191 | − | 0.455587i | \(-0.849429\pi\) |
0.455587 | + | 0.890191i | \(0.349429\pi\) | |||||||
\(998\) | −4.25938e10 | − | 2.25501e10i | −1.35640 | − | 0.718111i | ||||
\(999\) | 3.08259e10 | 0.978221 |
(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 | 20.8.e.b.3.3 | ✓ | 36 | |
4.3 | odd | 2 | inner | 20.8.e.b.3.12 | yes | 36 | |
5.2 | odd | 4 | inner | 20.8.e.b.7.12 | yes | 36 | |
5.3 | odd | 4 | 100.8.e.e.7.7 | 36 | |||
5.4 | even | 2 | 100.8.e.e.43.16 | 36 | |||
20.3 | even | 4 | 100.8.e.e.7.16 | 36 | |||
20.7 | even | 4 | inner | 20.8.e.b.7.3 | yes | 36 | |
20.19 | odd | 2 | 100.8.e.e.43.7 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
20.8.e.b.3.3 | ✓ | 36 | 1.1 | even | 1 | trivial | |
20.8.e.b.3.12 | yes | 36 | 4.3 | odd | 2 | inner | |
20.8.e.b.7.3 | yes | 36 | 20.7 | even | 4 | inner | |
20.8.e.b.7.12 | yes | 36 | 5.2 | odd | 4 | inner | |
100.8.e.e.7.7 | 36 | 5.3 | odd | 4 | |||
100.8.e.e.7.16 | 36 | 20.3 | even | 4 | |||
100.8.e.e.43.7 | 36 | 20.19 | odd | 2 | |||
100.8.e.e.43.16 | 36 | 5.4 | even | 2 |