Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 24.19 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.10.g.a.9.19 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.76177 | − | 7.22503i | 0.254637 | − | 0.319304i | −0.638039 | − | 0.770004i | \(-0.720254\pi\) |
0.892676 | + | 0.450700i | \(0.148826\pi\) | |||||||
\(3\) | −210.346 | + | 31.7046i | −1.49930 | + | 0.225983i | −0.846844 | − | 0.531841i | \(-0.821500\pi\) |
−0.652458 | + | 0.757825i | \(0.726262\pi\) | |||||||
\(4\) | 94.9276 | + | 415.905i | 0.185406 | + | 0.812315i | ||||
\(5\) | −491.581 | + | 335.154i | −0.351747 | + | 0.239817i | −0.726284 | − | 0.687395i | \(-0.758754\pi\) |
0.374537 | + | 0.927212i | \(0.377802\pi\) | |||||||
\(6\) | −982.900 | + | 1702.43i | −0.309620 | + | 0.536277i | ||||
\(7\) | 3301.83 | + | 5718.94i | 0.519773 | + | 0.900273i | 0.999736 | + | 0.0229845i | \(0.00731685\pi\) |
−0.479963 | + | 0.877289i | \(0.659350\pi\) | |||||||
\(8\) | 7814.79 | + | 3763.41i | 0.674547 | + | 0.324845i | ||||
\(9\) | 24431.8 | − | 7536.22i | 1.24127 | − | 0.382880i | ||||
\(10\) | −410.877 | + | 5482.77i | −0.0129931 | + | 0.173380i | ||||
\(11\) | −11705.7 | + | 51286.1i | −0.241063 | + | 1.05617i | 0.698988 | + | 0.715133i | \(0.253634\pi\) |
−0.940051 | + | 0.341033i | \(0.889223\pi\) | |||||||
\(12\) | −33153.8 | − | 84474.5i | −0.461549 | − | 1.17601i | ||||
\(13\) | −31.9269 | − | 426.035i | −0.000310036 | − | 0.00413714i | 0.997047 | − | 0.0767985i | \(-0.0244698\pi\) |
−0.997357 | + | 0.0726614i | \(0.976851\pi\) | |||||||
\(14\) | 60343.9 | + | 9095.39i | 0.419815 | + | 0.0632769i | ||||
\(15\) | 92776.3 | − | 86083.8i | 0.473180 | − | 0.439047i | ||||
\(16\) | −124572. | + | 59990.5i | −0.475203 | + | 0.228846i | ||||
\(17\) | 220068. | + | 150040.i | 0.639053 | + | 0.435699i | 0.839018 | − | 0.544104i | \(-0.183130\pi\) |
−0.199965 | + | 0.979803i | \(0.564083\pi\) | |||||||
\(18\) | 86321.2 | − | 219943.i | 0.193817 | − | 0.493837i | ||||
\(19\) | −620534. | − | 191410.i | −1.09238 | − | 0.336955i | −0.304332 | − | 0.952566i | \(-0.598433\pi\) |
−0.788050 | + | 0.615611i | \(0.788909\pi\) | |||||||
\(20\) | −186057. | − | 172636.i | −0.260023 | − | 0.241266i | ||||
\(21\) | −875845. | − | 1.09827e6i | −0.982744 | − | 1.23232i | ||||
\(22\) | 303098. | + | 380073.i | 0.275855 | + | 0.345911i | ||||
\(23\) | −1.13632e6 | − | 1.05435e6i | −0.846691 | − | 0.785614i | 0.131936 | − | 0.991258i | \(-0.457881\pi\) |
−0.978627 | + | 0.205644i | \(0.934071\pi\) | |||||||
\(24\) | −1.76313e6 | − | 543854.i | −1.08476 | − | 0.334604i | ||||
\(25\) | −584233. | + | 1.48860e6i | −0.299127 | + | 0.762164i | ||||
\(26\) | −3262.07 | − | 2224.04i | −0.00139995 | − | 0.000954472i | ||||
\(27\) | −1.12785e6 | + | 543142.i | −0.408426 | + | 0.196688i | ||||
\(28\) | −2.06510e6 | + | 1.91613e6i | −0.634937 | + | 0.589135i | ||||
\(29\) | 724627. | + | 109220.i | 0.190249 | + | 0.0286755i | 0.243476 | − | 0.969907i | \(-0.421712\pi\) |
−0.0532263 | + | 0.998582i | \(0.516950\pi\) | |||||||
\(30\) | −87402.7 | − | 1.16631e6i | −0.0197006 | − | 0.262886i | ||||
\(31\) | −50396.5 | − | 128408.i | −0.00980105 | − | 0.0249727i | 0.925889 | − | 0.377794i | \(-0.123317\pi\) |
−0.935691 | + | 0.352822i | \(0.885222\pi\) | |||||||
\(32\) | −1.27253e6 | + | 5.57531e6i | −0.214532 | + | 0.939927i | ||||
\(33\) | 836248. | − | 1.11590e7i | 0.122750 | − | 1.63799i | ||||
\(34\) | 2.35202e6 | − | 725503.i | 0.301847 | − | 0.0931074i | ||||
\(35\) | −3.53985e6 | − | 1.70470e6i | −0.398729 | − | 0.192018i | ||||
\(36\) | 5.45361e6 | + | 9.44593e6i | 0.541157 | + | 0.937311i | ||||
\(37\) | 4.10642e6 | − | 7.11253e6i | 0.360210 | − | 0.623902i | −0.627785 | − | 0.778387i | \(-0.716038\pi\) |
0.987995 | + | 0.154485i | \(0.0493717\pi\) | |||||||
\(38\) | −4.95832e6 | + | 3.38052e6i | −0.385752 | + | 0.263001i | ||||
\(39\) | 20223.0 | + | 88602.6i | 0.00139976 | + | 0.00613276i | ||||
\(40\) | −5.10293e6 | + | 769142.i | −0.315173 | + | 0.0475047i | ||||
\(41\) | −8.51999e6 | + | 1.06837e7i | −0.470881 | + | 0.590467i | −0.959387 | − | 0.282094i | \(-0.908971\pi\) |
0.488505 | + | 0.872561i | \(0.337542\pi\) | |||||||
\(42\) | −1.29815e7 | −0.643728 | ||||||||
\(43\) | −5.61614e6 | − | 2.17037e7i | −0.250513 | − | 0.968113i | ||||
\(44\) | −2.24413e7 | −0.902634 | ||||||||
\(45\) | −9.48443e6 | + | 1.18931e7i | −0.344790 | + | 0.432353i | ||||
\(46\) | −1.41649e7 | + | 2.13502e6i | −0.466449 | + | 0.0703058i | ||||
\(47\) | −9.61857e6 | − | 4.21417e7i | −0.287521 | − | 1.25971i | −0.887915 | − | 0.460008i | \(-0.847846\pi\) |
0.600393 | − | 0.799705i | \(-0.295011\pi\) | |||||||
\(48\) | 2.43012e7 | − | 1.65683e7i | 0.660757 | − | 0.450497i | ||||
\(49\) | −1.62739e6 | + | 2.81872e6i | −0.0403282 | + | 0.0698504i | ||||
\(50\) | 7.38898e6 | + | 1.27981e7i | 0.167194 | + | 0.289588i | ||||
\(51\) | −5.10474e7 | − | 2.45831e7i | −1.05659 | − | 0.508829i | ||||
\(52\) | 174159. | − | 53721.1i | 0.00330318 | − | 0.00101890i | ||||
\(53\) | −2.62395e6 | + | 3.50142e7i | −0.0456788 | + | 0.609541i | 0.926650 | + | 0.375925i | \(0.122675\pi\) |
−0.972329 | + | 0.233616i | \(0.924944\pi\) | |||||||
\(54\) | −2.57417e6 | + | 1.12782e7i | −0.0411970 | + | 0.180496i | ||||
\(55\) | −1.14344e7 | − | 2.91345e7i | −0.168493 | − | 0.429314i | ||||
\(56\) | 4.28044e6 | + | 5.71185e7i | 0.0581624 | + | 0.776123i | ||||
\(57\) | 1.36596e8 | + | 2.05885e7i | 1.71396 | + | 0.258338i | ||||
\(58\) | 4.96425e6 | − | 4.60615e6i | 0.0576007 | − | 0.0534457i | ||||
\(59\) | 1.02697e8 | − | 4.94564e7i | 1.10338 | − | 0.531359i | 0.208659 | − | 0.977988i | \(-0.433090\pi\) |
0.894719 | + | 0.446629i | \(0.147376\pi\) | |||||||
\(60\) | 4.46097e7 | + | 3.04144e7i | 0.444374 | + | 0.302969i | ||||
\(61\) | 3.35432e7 | − | 8.54668e7i | 0.310185 | − | 0.790338i | −0.687740 | − | 0.725957i | \(-0.741397\pi\) |
0.997925 | − | 0.0643815i | \(-0.0205075\pi\) | |||||||
\(62\) | −1.21813e6 | − | 375742.i | −0.0104696 | − | 0.00322944i | ||||
\(63\) | 1.23769e8 | + | 1.14841e8i | 0.989873 | + | 0.918468i | ||||
\(64\) | −1.11878e7 | − | 1.40290e7i | −0.0833555 | − | 0.104525i | ||||
\(65\) | 158482. | + | 198730.i | 0.00110121 | + | 0.00138087i | ||||
\(66\) | −7.58056e7 | − | 7.03373e7i | −0.491760 | − | 0.456287i | ||||
\(67\) | 1.52378e8 | + | 4.70024e7i | 0.923817 | + | 0.284960i | 0.719940 | − | 0.694037i | \(-0.244170\pi\) |
0.203877 | + | 0.978996i | \(0.434646\pi\) | |||||||
\(68\) | −4.15118e7 | + | 1.05770e8i | −0.235441 | + | 0.599893i | ||||
\(69\) | 2.72448e8 | + | 1.85752e8i | 1.44698 | + | 0.986535i | ||||
\(70\) | −3.27123e7 | + | 1.57534e7i | −0.162843 | + | 0.0784212i | ||||
\(71\) | −1.94575e8 | + | 1.80539e8i | −0.908709 | + | 0.843159i | −0.988120 | − | 0.153683i | \(-0.950886\pi\) |
0.0794113 | + | 0.996842i | \(0.474696\pi\) | |||||||
\(72\) | 2.19292e8 | + | 3.30529e7i | 0.961669 | + | 0.144948i | ||||
\(73\) | 1.70396e7 | + | 2.27377e8i | 0.0702272 | + | 0.937117i | 0.915380 | + | 0.402592i | \(0.131891\pi\) |
−0.845152 | + | 0.534525i | \(0.820490\pi\) | |||||||
\(74\) | −2.77280e7 | − | 7.06498e7i | −0.107492 | − | 0.273885i | ||||
\(75\) | 7.56957e7 | − | 3.31645e8i | 0.276246 | − | 1.21031i | ||||
\(76\) | 2.07023e7 | − | 2.76254e8i | 0.0711800 | − | 0.949832i | ||||
\(77\) | −3.31952e8 | + | 1.02394e8i | −1.07614 | + | 0.331944i | ||||
\(78\) | 756677. | + | 364397.i | 0.00231465 | + | 0.00111468i | ||||
\(79\) | −3.67892e7 | − | 6.37207e7i | −0.106267 | − | 0.184060i | 0.807988 | − | 0.589199i | \(-0.200556\pi\) |
−0.914255 | + | 0.405139i | \(0.867223\pi\) | |||||||
\(80\) | 4.11309e7 | − | 7.12409e7i | 0.112270 | − | 0.194457i | ||||
\(81\) | −1.95786e8 | + | 1.33485e8i | −0.505359 | + | 0.344548i | ||||
\(82\) | 2.81001e7 | + | 1.23114e8i | 0.0686349 | + | 0.300709i | ||||
\(83\) | −5.07572e8 | + | 7.65042e7i | −1.17394 | + | 0.176943i | −0.706914 | − | 0.707300i | \(-0.749913\pi\) |
−0.467028 | + | 0.884243i | \(0.654675\pi\) | |||||||
\(84\) | 3.73636e8 | − | 4.68525e8i | 0.818827 | − | 1.02678i | ||||
\(85\) | −1.58468e8 | −0.329273 | ||||||||
\(86\) | −1.89169e8 | − | 8.44751e7i | −0.372913 | − | 0.166527i | ||||
\(87\) | −1.55885e8 | −0.291722 | ||||||||
\(88\) | −2.84488e8 | + | 3.56737e8i | −0.505699 | + | 0.634126i | ||||
\(89\) | 6.94069e8 | − | 1.04614e8i | 1.17259 | − | 0.176740i | 0.466279 | − | 0.884638i | \(-0.345594\pi\) |
0.706315 | + | 0.707898i | \(0.250356\pi\) | |||||||
\(90\) | 3.12809e7 | + | 1.37051e8i | 0.0502560 | + | 0.220186i | ||||
\(91\) | 2.33105e6 | − | 1.58928e6i | 0.00356341 | − | 0.00242949i | ||||
\(92\) | 3.30641e8 | − | 5.72688e8i | 0.481185 | − | 0.833437i | ||||
\(93\) | 1.46718e7 | + | 2.54124e7i | 0.0203381 | + | 0.0352267i | ||||
\(94\) | −3.59895e8 | − | 1.73316e8i | −0.475446 | − | 0.228962i | ||||
\(95\) | 3.69195e8 | − | 1.13881e8i | 0.465050 | − | 0.143449i | ||||
\(96\) | 9.09086e7 | − | 1.21309e9i | 0.109241 | − | 1.45771i | ||||
\(97\) | 4.04459e7 | − | 1.77205e8i | 0.0463876 | − | 0.203237i | −0.946424 | − | 0.322928i | \(-0.895333\pi\) |
0.992811 | + | 0.119690i | \(0.0381901\pi\) | |||||||
\(98\) | 1.09887e7 | + | 2.79987e7i | 0.0120345 | + | 0.0306634i | ||||
\(99\) | 1.00511e8 | + | 1.34123e9i | 0.105161 | + | 1.40328i | ||||
\(100\) | −6.74577e8 | − | 1.01676e8i | −0.674577 | − | 0.101676i | ||||
\(101\) | −1.02211e9 | + | 9.48376e8i | −0.977350 | + | 0.906848i | −0.995668 | − | 0.0929844i | \(-0.970359\pi\) |
0.0183180 | + | 0.999832i | \(0.494169\pi\) | |||||||
\(102\) | −4.71738e8 | + | 2.27177e8i | −0.431519 | + | 0.207808i | ||||
\(103\) | −1.69062e8 | − | 1.15264e8i | −0.148005 | − | 0.100908i | 0.487053 | − | 0.873372i | \(-0.338072\pi\) |
−0.635059 | + | 0.772464i | \(0.719024\pi\) | |||||||
\(104\) | 1.35384e6 | − | 3.44953e6i | 0.00113479 | − | 0.00289141i | ||||
\(105\) | 7.98640e8 | + | 2.46348e8i | 0.641209 | + | 0.197787i | ||||
\(106\) | 2.37860e8 | + | 2.20702e8i | 0.182998 | + | 0.169797i | ||||
\(107\) | −5.64557e7 | − | 7.07933e7i | −0.0416372 | − | 0.0522113i | 0.760577 | − | 0.649248i | \(-0.224916\pi\) |
−0.802214 | + | 0.597036i | \(0.796345\pi\) | |||||||
\(108\) | −3.32960e8 | − | 4.17518e8i | −0.235497 | − | 0.295303i | ||||
\(109\) | −2.08352e9 | − | 1.93322e9i | −1.41377 | − | 1.31179i | −0.886995 | − | 0.461779i | \(-0.847211\pi\) |
−0.526773 | − | 0.850006i | \(-0.676598\pi\) | |||||||
\(110\) | −2.76380e8 | − | 8.52520e7i | −0.179986 | − | 0.0555185i | ||||
\(111\) | −6.38270e8 | + | 1.62629e9i | −0.399072 | + | 1.01682i | ||||
\(112\) | −7.54396e8 | − | 5.14339e8i | −0.453021 | − | 0.308865i | ||||
\(113\) | −1.10808e9 | + | 5.33624e8i | −0.639321 | + | 0.307881i | −0.725317 | − | 0.688415i | \(-0.758307\pi\) |
0.0859962 | + | 0.996295i | \(0.472593\pi\) | |||||||
\(114\) | 9.35786e8 | − | 8.68282e8i | 0.518925 | − | 0.481492i | ||||
\(115\) | 9.11963e8 | + | 1.37456e8i | 0.486224 | + | 0.0732865i | ||||
\(116\) | 2.33620e7 | + | 3.11744e8i | 0.0119798 | + | 0.159859i | ||||
\(117\) | −3.99073e6 | − | 1.01682e7i | −0.00196886 | − | 0.00501658i | ||||
\(118\) | 2.34394e8 | − | 1.02695e9i | 0.111295 | − | 0.487617i | ||||
\(119\) | −1.31441e8 | + | 1.75396e9i | −0.0600856 | + | 0.801786i | ||||
\(120\) | 1.04900e9 | − | 3.23572e8i | 0.461805 | − | 0.142448i | ||||
\(121\) | −3.68799e8 | − | 1.77604e8i | −0.156407 | − | 0.0753216i | ||||
\(122\) | −4.24232e8 | − | 7.34791e8i | −0.173374 | − | 0.300293i | ||||
\(123\) | 1.45342e9 | − | 2.51740e9i | 0.572558 | − | 0.991699i | ||||
\(124\) | 4.86216e7 | − | 3.31496e7i | 0.0184685 | − | 0.0125916i | ||||
\(125\) | −4.70291e8 | − | 2.06048e9i | −0.172294 | − | 0.754871i | ||||
\(126\) | 1.54286e9 | − | 2.32548e8i | 0.545329 | − | 0.0821951i | ||||
\(127\) | −2.92367e9 | + | 3.66617e9i | −0.997269 | + | 1.25054i | −0.0292721 | + | 0.999571i | \(0.509319\pi\) |
−0.967996 | + | 0.250964i | \(0.919252\pi\) | |||||||
\(128\) | −3.09379e9 | −1.01870 | ||||||||
\(129\) | 1.86944e9 | + | 4.38724e9i | 0.594372 | + | 1.39488i | ||||
\(130\) | 2.34897e6 | 0.000721327 | ||||||||
\(131\) | −1.22988e9 | + | 1.54222e9i | −0.364873 | + | 0.457537i | −0.930050 | − | 0.367433i | \(-0.880237\pi\) |
0.565176 | + | 0.824970i | \(0.308808\pi\) | |||||||
\(132\) | 4.72045e9 | − | 7.11493e8i | 1.35332 | − | 0.203980i | ||||
\(133\) | −9.54241e8 | − | 4.18080e9i | −0.264439 | − | 1.15858i | ||||
\(134\) | 1.21756e9 | − | 8.30119e8i | 0.326227 | − | 0.222417i | ||||
\(135\) | 3.72392e8 | − | 6.45001e8i | 0.0964935 | − | 0.167132i | ||||
\(136\) | 1.15512e9 | + | 2.00073e9i | 0.289537 | + | 0.501492i | ||||
\(137\) | 6.31547e9 | + | 3.04137e9i | 1.53166 | + | 0.737610i | 0.994388 | − | 0.105797i | \(-0.0337394\pi\) |
0.537275 | + | 0.843407i | \(0.319454\pi\) | |||||||
\(138\) | 2.91185e9 | − | 8.98186e8i | 0.683460 | − | 0.210819i | ||||
\(139\) | 3.85207e8 | − | 5.14023e9i | 0.0875241 | − | 1.16793i | −0.764570 | − | 0.644540i | \(-0.777049\pi\) |
0.852094 | − | 0.523388i | \(-0.175332\pi\) | |||||||
\(140\) | 3.72964e8 | − | 1.63406e9i | 0.0820523 | − | 0.359495i | ||||
\(141\) | 3.35932e9 | + | 8.55940e9i | 0.715756 | + | 1.82372i | ||||
\(142\) | 1.83305e8 | + | 2.44604e9i | 0.0378336 | + | 0.504854i | ||||
\(143\) | 2.22234e7 | + | 3.34964e6i | 0.00444425 | + | 0.000669862i | ||||
\(144\) | −2.59141e9 | + | 2.40448e9i | −0.502233 | + | 0.466004i | ||||
\(145\) | −3.92818e8 | + | 1.89171e8i | −0.0737965 | + | 0.0355385i | ||||
\(146\) | 1.74099e9 | + | 1.18698e9i | 0.317108 | + | 0.216201i | ||||
\(147\) | 2.52948e8 | − | 6.44502e8i | 0.0446791 | − | 0.113840i | ||||
\(148\) | 3.34795e9 | + | 1.03271e9i | 0.573589 | + | 0.176929i | ||||
\(149\) | −1.27190e9 | − | 1.18015e9i | −0.211404 | − | 0.196154i | 0.567362 | − | 0.823468i | \(-0.307964\pi\) |
−0.778767 | + | 0.627314i | \(0.784154\pi\) | |||||||
\(150\) | −1.96000e9 | − | 2.45777e9i | −0.316116 | − | 0.396396i | ||||
\(151\) | 3.44633e9 | + | 4.32156e9i | 0.539461 | + | 0.676463i | 0.974614 | − | 0.223894i | \(-0.0718769\pi\) |
−0.435152 | + | 0.900357i | \(0.643305\pi\) | |||||||
\(152\) | −4.12900e9 | − | 3.83115e9i | −0.627406 | − | 0.582147i | ||||
\(153\) | 6.50740e9 | + | 2.00727e9i | 0.960054 | + | 0.296138i | ||||
\(154\) | −1.17284e9 | + | 2.98834e9i | −0.168033 | + | 0.428140i | ||||
\(155\) | 6.78105e7 | + | 4.62324e7i | 0.00943635 | + | 0.00643360i | ||||
\(156\) | −3.49306e7 | + | 1.68217e7i | −0.00472221 | + | 0.00227410i | ||||
\(157\) | 5.01072e9 | − | 4.64927e9i | 0.658191 | − | 0.610712i | −0.278681 | − | 0.960384i | \(-0.589897\pi\) |
0.936872 | + | 0.349671i | \(0.113707\pi\) | |||||||
\(158\) | −6.72355e8 | − | 1.01341e8i | −0.0858306 | − | 0.0129369i | ||||
\(159\) | −5.58173e8 | − | 7.44830e9i | −0.0692599 | − | 0.924209i | ||||
\(160\) | −1.24304e9 | − | 3.16721e9i | −0.149949 | − | 0.382065i | ||||
\(161\) | 2.27783e9 | − | 9.97982e9i | 0.267181 | − | 1.17059i | ||||
\(162\) | −1.63644e8 | + | 2.18367e9i | −0.0186673 | + | 0.249098i | ||||
\(163\) | −1.21419e10 | + | 3.74529e9i | −1.34724 | + | 0.415567i | −0.882679 | − | 0.469976i | \(-0.844263\pi\) |
−0.464557 | + | 0.885543i | \(0.653786\pi\) | |||||||
\(164\) | −5.25220e9 | − | 2.52933e9i | −0.566949 | − | 0.273028i | ||||
\(165\) | 3.32889e9 | + | 5.76580e9i | 0.349640 | + | 0.605595i | ||||
\(166\) | −2.37177e9 | + | 4.10803e9i | −0.242430 | + | 0.419901i | ||||
\(167\) | −1.09975e10 | + | 7.49797e9i | −1.09413 | + | 0.745967i | −0.969219 | − | 0.246201i | \(-0.920818\pi\) |
−0.124913 | + | 0.992168i | \(0.539865\pi\) | |||||||
\(168\) | −2.71129e9 | − | 1.18789e10i | −0.262594 | − | 1.15050i | ||||
\(169\) | 1.04859e10 | − | 1.58049e9i | 0.988814 | − | 0.149040i | ||||
\(170\) | −9.13055e8 | + | 1.14493e9i | −0.0838449 | + | 0.105138i | ||||
\(171\) | −1.66033e10 | −1.48495 | ||||||||
\(172\) | 8.49356e9 | − | 4.39606e9i | 0.739966 | − | 0.382989i | ||||
\(173\) | 1.00130e10 | 0.849881 | 0.424941 | − | 0.905221i | \(-0.360295\pi\) | ||||
0.424941 | + | 0.905221i | \(0.360295\pi\) | |||||||
\(174\) | −8.98176e8 | + | 1.12628e9i | −0.0742831 | + | 0.0931480i | ||||
\(175\) | −1.04423e10 | + | 1.57392e9i | −0.841634 | + | 0.126856i | ||||
\(176\) | −1.61848e9 | − | 7.09102e9i | −0.127145 | − | 0.557059i | ||||
\(177\) | −2.00340e10 | + | 1.36589e10i | −1.53422 | + | 1.04601i | ||||
\(178\) | 3.24323e9 | − | 5.61743e9i | 0.242151 | − | 0.419419i | ||||
\(179\) | 1.72732e9 | + | 2.99181e9i | 0.125758 | + | 0.217819i | 0.922029 | − | 0.387121i | \(-0.126530\pi\) |
−0.796271 | + | 0.604940i | \(0.793197\pi\) | |||||||
\(180\) | −5.84674e9 | − | 2.81564e9i | −0.415133 | − | 0.199917i | ||||
\(181\) | 2.19225e10 | − | 6.76220e9i | 1.51823 | − | 0.468311i | 0.580083 | − | 0.814557i | \(-0.303020\pi\) |
0.938144 | + | 0.346247i | \(0.112544\pi\) | |||||||
\(182\) | 1.94836e6 | − | 2.59990e7i | 0.000131628 | − | 0.00175645i | ||||
\(183\) | −4.34600e9 | + | 1.90411e10i | −0.286458 | + | 1.25505i | ||||
\(184\) | −4.91215e9 | − | 1.25160e10i | −0.315930 | − | 0.804977i | ||||
\(185\) | 3.65156e8 | + | 4.87267e9i | 0.0229195 | + | 0.305840i | ||||
\(186\) | 2.68141e8 | + | 4.04158e7i | 0.0164269 | + | 0.00247595i | ||||
\(187\) | −1.02710e10 | + | 9.53010e9i | −0.614222 | + | 0.569915i | ||||
\(188\) | 1.66139e10 | − | 8.00082e9i | 0.969976 | − | 0.467116i | ||||
\(189\) | −6.83016e9 | − | 4.65672e9i | −0.389361 | − | 0.265462i | ||||
\(190\) | 1.30442e9 | − | 3.32360e9i | 0.0726149 | − | 0.185020i | ||||
\(191\) | −1.29937e9 | − | 4.00803e8i | −0.0706453 | − | 0.0217912i | 0.259231 | − | 0.965815i | \(-0.416531\pi\) |
−0.329876 | + | 0.944024i | \(0.607007\pi\) | |||||||
\(192\) | 2.79810e9 | + | 2.59625e9i | 0.148596 | + | 0.137877i | ||||
\(193\) | 1.82248e10 | + | 2.28532e10i | 0.945485 | + | 1.18560i | 0.982496 | + | 0.186286i | \(0.0596451\pi\) |
−0.0370104 | + | 0.999315i | \(0.511783\pi\) | |||||||
\(194\) | −1.04727e9 | − | 1.31324e9i | −0.0530826 | − | 0.0665635i | ||||
\(195\) | −3.96368e7 | − | 3.67776e7i | −0.00196310 | − | 0.00182149i | ||||
\(196\) | −1.32680e9 | − | 4.09264e8i | −0.0642176 | − | 0.0198085i | ||||
\(197\) | −3.48324e9 | + | 8.87514e9i | −0.164773 | + | 0.419834i | −0.989283 | − | 0.146014i | \(-0.953356\pi\) |
0.824510 | + | 0.565847i | \(0.191451\pi\) | |||||||
\(198\) | 1.02696e10 | + | 7.00166e9i | 0.474852 | + | 0.323749i | ||||
\(199\) | −8.76962e9 | + | 4.22323e9i | −0.396408 | + | 0.190900i | −0.621458 | − | 0.783447i | \(-0.713460\pi\) |
0.225051 | + | 0.974347i | \(0.427745\pi\) | |||||||
\(200\) | −1.01679e10 | + | 9.43441e9i | −0.449361 | + | 0.416946i | ||||
\(201\) | −3.35423e10 | − | 5.05570e9i | −1.44948 | − | 0.218473i | ||||
\(202\) | 9.62905e8 | + | 1.28491e10i | 0.0406914 | + | 0.542989i | ||||
\(203\) | 1.76797e9 | + | 4.50472e9i | 0.0730708 | + | 0.186181i | ||||
\(204\) | 5.37844e9 | − | 2.35645e10i | 0.217431 | − | 0.952626i | ||||
\(205\) | 6.07568e8 | − | 8.10743e9i | 0.0240272 | − | 0.320620i | ||||
\(206\) | −1.80688e9 | + | 5.57349e8i | −0.0699081 | + | 0.0215638i | ||||
\(207\) | −3.57082e10 | − | 1.71961e10i | −1.35176 | − | 0.650975i | ||||
\(208\) | 2.95352e7 | + | 5.11565e7i | 0.00109410 | + | 0.00189503i | ||||
\(209\) | 1.70804e10 | − | 2.95842e10i | 0.619214 | − | 1.07251i | ||||
\(210\) | 6.38145e9 | − | 4.35080e9i | 0.226429 | − | 0.154377i | ||||
\(211\) | −8.20189e9 | − | 3.59348e10i | −0.284868 | − | 1.24809i | −0.891470 | − | 0.453081i | \(-0.850325\pi\) |
0.606602 | − | 0.795006i | \(-0.292532\pi\) | |||||||
\(212\) | −1.48117e10 | + | 2.23250e9i | −0.503608 | + | 0.0759068i | ||||
\(213\) | 3.52042e10 | − | 4.41447e10i | 1.17189 | − | 1.46950i | ||||
\(214\) | −8.36769e8 | −0.0272737 | ||||||||
\(215\) | 1.00349e10 | + | 8.78687e9i | 0.320287 | + | 0.280454i | ||||
\(216\) | −1.08580e10 | −0.339396 | ||||||||
\(217\) | 5.67958e8 | − | 7.12196e8i | 0.0173879 | − | 0.0218037i | ||||
\(218\) | −2.59724e10 | + | 3.91470e9i | −0.778856 | + | 0.117394i | ||||
\(219\) | −1.07931e10 | − | 4.72877e10i | −0.317065 | − | 1.38915i | ||||
\(220\) | 1.10317e10 | − | 7.52131e9i | 0.317499 | − | 0.216467i | ||||
\(221\) | 5.68961e7 | − | 9.85469e7i | 0.00160442 | − | 0.00277893i | ||||
\(222\) | 8.07240e9 | + | 1.39818e10i | 0.223056 | + | 0.386345i | ||||
\(223\) | 2.17261e10 | + | 1.04628e10i | 0.588316 | + | 0.283318i | 0.704265 | − | 0.709937i | \(-0.251277\pi\) |
−0.115949 | + | 0.993255i | \(0.536991\pi\) | |||||||
\(224\) | −3.60865e10 | + | 1.11312e10i | −0.957699 | + | 0.295411i | ||||
\(225\) | −3.05545e9 | + | 4.07722e10i | −0.0794794 | + | 1.06058i | ||||
\(226\) | −2.52906e9 | + | 1.10806e10i | −0.0644870 | + | 0.282536i | ||||
\(227\) | 8.61357e9 | + | 2.19470e10i | 0.215311 | + | 0.548604i | 0.997197 | − | 0.0748171i | \(-0.0238373\pi\) |
−0.781886 | + | 0.623422i | \(0.785742\pi\) | |||||||
\(228\) | 4.40385e9 | + | 5.87653e10i | 0.107926 | + | 1.44017i | ||||
\(229\) | 2.39119e10 | + | 3.60414e9i | 0.574585 | + | 0.0866047i | 0.429905 | − | 0.902874i | \(-0.358547\pi\) |
0.144679 | + | 0.989479i | \(0.453785\pi\) | |||||||
\(230\) | 6.24765e9 | − | 5.79697e9i | 0.147211 | − | 0.136592i | ||||
\(231\) | 6.65786e10 | − | 3.20626e10i | 1.53844 | − | 0.740874i | ||||
\(232\) | 5.25177e9 | + | 3.58060e9i | 0.119017 | + | 0.0811446i | ||||
\(233\) | −2.41966e10 | + | 6.16518e10i | −0.537838 | + | 1.37039i | 0.361187 | + | 0.932493i | \(0.382372\pi\) |
−0.899025 | + | 0.437897i | \(0.855724\pi\) | |||||||
\(234\) | −9.64593e7 | − | 2.97538e7i | −0.00210316 | − | 0.000648740i | ||||
\(235\) | 1.88523e10 | + | 1.74924e10i | 0.403235 | + | 0.374148i | ||||
\(236\) | 3.03180e10 | + | 3.80175e10i | 0.636203 | + | 0.797774i | ||||
\(237\) | 9.75871e9 | + | 1.22370e10i | 0.200921 | + | 0.251947i | ||||
\(238\) | 1.19151e10 | + | 1.10556e10i | 0.240714 | + | 0.223350i | ||||
\(239\) | −7.22500e10 | − | 2.22862e10i | −1.43234 | − | 0.441819i | −0.521032 | − | 0.853537i | \(-0.674453\pi\) |
−0.911311 | + | 0.411718i | \(0.864929\pi\) | |||||||
\(240\) | −6.39308e9 | + | 1.62893e10i | −0.124383 | + | 0.316921i | ||||
\(241\) | 5.12731e9 | + | 3.49574e9i | 0.0979068 | + | 0.0667517i | 0.611284 | − | 0.791411i | \(-0.290653\pi\) |
−0.513377 | + | 0.858163i | \(0.671606\pi\) | |||||||
\(242\) | −3.40814e9 | + | 1.64127e9i | −0.0638775 | + | 0.0307618i | ||||
\(243\) | 5.50129e10 | − | 5.10445e10i | 1.01213 | − | 0.939119i | ||||
\(244\) | 3.87302e10 | + | 5.83764e9i | 0.699513 | + | 0.105435i | ||||
\(245\) | −1.44712e8 | − | 1.93105e9i | −0.00256601 | − | 0.0342410i | ||||
\(246\) | −9.81403e9 | − | 2.50058e10i | −0.170860 | − | 0.435343i | ||||
\(247\) | −6.17354e7 | + | 2.70481e8i | −0.00105535 | + | 0.00462381i | ||||
\(248\) | 8.94139e7 | − | 1.19315e9i | 0.00150097 | − | 0.0200291i | ||||
\(249\) | 1.04340e11 | − | 3.21848e10i | 1.72011 | − | 0.530583i | ||||
\(250\) | −1.75967e10 | − | 8.47414e9i | −0.284906 | − | 0.137204i | ||||
\(251\) | −4.61865e8 | − | 7.99973e8i | −0.00734485 | − | 0.0127217i | 0.862330 | − | 0.506347i | \(-0.169005\pi\) |
−0.869674 | + | 0.493626i | \(0.835671\pi\) | |||||||
\(252\) | −3.60138e10 | + | 6.23778e10i | −0.562557 | + | 0.974378i | ||||
\(253\) | 6.73749e10 | − | 4.59354e10i | 1.03385 | − | 0.704864i | ||||
\(254\) | 9.64267e9 | + | 4.22473e10i | 0.145360 | + | 0.636864i | ||||
\(255\) | 3.33331e10 | − | 5.02415e9i | 0.493679 | − | 0.0744102i | ||||
\(256\) | −1.20976e10 | + | 1.51699e10i | −0.176043 | + | 0.220751i | ||||
\(257\) | −3.51666e8 | −0.00502842 | −0.00251421 | − | 0.999997i | \(-0.500800\pi\) | ||||
−0.00251421 | + | 0.999997i | \(0.500800\pi\) | |||||||
\(258\) | 4.24693e10 | + | 1.17715e10i | 0.596741 | + | 0.165403i | ||||
\(259\) | 5.42348e10 | 0.748910 | ||||||||
\(260\) | −6.76086e7 | + | 8.47785e7i | −0.000917534 | + | 0.00115055i | ||||
\(261\) | 1.85271e10 | − | 2.79251e9i | 0.247129 | − | 0.0372488i | ||||
\(262\) | 4.05631e9 | + | 1.77719e10i | 0.0531833 | + | 0.233011i | ||||
\(263\) | −2.44185e10 | + | 1.66483e10i | −0.314716 | + | 0.214570i | −0.710367 | − | 0.703831i | \(-0.751471\pi\) |
0.395652 | + | 0.918401i | \(0.370519\pi\) | |||||||
\(264\) | 4.85308e10 | − | 8.40578e10i | 0.614893 | − | 1.06503i | ||||
\(265\) | −1.04453e10 | − | 1.80918e10i | −0.130111 | − | 0.225359i | ||||
\(266\) | −3.57046e10 | − | 1.71944e10i | −0.437277 | − | 0.210581i | ||||
\(267\) | −1.42678e11 | + | 4.40103e10i | −1.71813 | + | 0.529973i | ||||
\(268\) | −5.08365e9 | + | 6.78366e10i | −0.0601962 | + | 0.803263i | ||||
\(269\) | 9.49569e8 | − | 4.16033e9i | 0.0110571 | − | 0.0484443i | −0.969098 | − | 0.246674i | \(-0.920662\pi\) |
0.980156 | + | 0.198230i | \(0.0635193\pi\) | |||||||
\(270\) | −2.51452e9 | − | 6.40689e9i | −0.0287951 | − | 0.0733686i | ||||
\(271\) | −5.34438e9 | − | 7.13157e10i | −0.0601915 | − | 0.803200i | −0.942857 | − | 0.333198i | \(-0.891872\pi\) |
0.882665 | − | 0.470002i | \(-0.155747\pi\) | |||||||
\(272\) | −3.64152e10 | − | 5.48870e9i | −0.403387 | − | 0.0608008i | ||||
\(273\) | −4.39940e8 | + | 4.08205e8i | −0.00479360 | + | 0.00444781i | ||||
\(274\) | 5.83623e10 | − | 2.81058e10i | 0.625540 | − | 0.301244i | ||||
\(275\) | −6.95057e10 | − | 4.73882e10i | −0.732863 | − | 0.499658i | ||||
\(276\) | −5.13924e10 | + | 1.30946e11i | −0.533099 | + | 1.35831i | ||||
\(277\) | −1.28326e11 | − | 3.95833e10i | −1.30965 | − | 0.403973i | −0.440158 | − | 0.897921i | \(-0.645077\pi\) |
−0.869492 | + | 0.493947i | \(0.835554\pi\) | |||||||
\(278\) | −3.49189e10 | − | 3.24000e10i | −0.350638 | − | 0.325344i | ||||
\(279\) | −2.19899e9 | − | 2.75745e9i | −0.0217272 | − | 0.0272451i | ||||
\(280\) | −2.12477e10 | − | 2.66437e10i | −0.206586 | − | 0.259050i | ||||
\(281\) | −7.42658e10 | − | 6.89086e10i | −0.710576 | − | 0.659318i | 0.239657 | − | 0.970858i | \(-0.422965\pi\) |
−0.950233 | + | 0.311539i | \(0.899155\pi\) | |||||||
\(282\) | 8.11976e10 | + | 2.50461e10i | 0.764578 | + | 0.235841i | ||||
\(283\) | 2.13965e10 | − | 5.45174e10i | 0.198291 | − | 0.505238i | −0.796795 | − | 0.604250i | \(-0.793473\pi\) |
0.995086 | + | 0.0990117i | \(0.0315681\pi\) | |||||||
\(284\) | −9.35578e10 | − | 6.37866e10i | −0.853390 | − | 0.581831i | ||||
\(285\) | −7.40482e10 | + | 3.56597e10i | −0.664833 | + | 0.320167i | ||||
\(286\) | 1.52247e8 | − | 1.41265e8i | 0.00134556 | − | 0.00124850i | ||||
\(287\) | −8.92312e10 | − | 1.34494e10i | −0.776333 | − | 0.117013i | ||||
\(288\) | 1.09266e10 | + | 1.45805e11i | 0.0935876 | + | 1.24884i | ||||
\(289\) | −1.74071e10 | − | 4.43525e10i | −0.146786 | − | 0.374005i | ||||
\(290\) | −8.96560e8 | + | 3.92809e9i | −0.00744370 | + | 0.0326130i | ||||
\(291\) | −2.88943e9 | + | 3.85568e10i | −0.0236208 | + | 0.315197i | ||||
\(292\) | −9.29498e10 | + | 2.86712e10i | −0.748214 | + | 0.230793i | ||||
\(293\) | −1.71363e11 | − | 8.25239e10i | −1.35835 | − | 0.654147i | −0.394083 | − | 0.919075i | \(-0.628938\pi\) |
−0.964268 | + | 0.264928i | \(0.914652\pi\) | |||||||
\(294\) | −3.19912e9 | − | 5.54104e9i | −0.0249728 | − | 0.0432542i | ||||
\(295\) | −3.39085e10 | + | 5.87312e10i | −0.260681 | + | 0.451513i | ||||
\(296\) | 5.88581e10 | − | 4.01288e10i | 0.445650 | − | 0.303839i | ||||
\(297\) | −1.46534e10 | − | 6.42007e10i | −0.109278 | − | 0.478780i | ||||
\(298\) | −1.58550e10 | + | 2.38975e9i | −0.116464 | + | 0.0175541i | ||||
\(299\) | −4.12911e8 | + | 5.17774e8i | −0.00298769 | + | 0.00374645i | ||||
\(300\) | 1.45118e11 | 1.03437 | ||||||||
\(301\) | 1.05579e11 | − | 1.03780e11i | 0.741357 | − | 0.728729i | ||||
\(302\) | 5.10804e10 | 0.353364 | ||||||||
\(303\) | 1.84928e11 | − | 2.31893e11i | 1.26041 | − | 1.58050i | ||||
\(304\) | 8.87837e10 | − | 1.33820e10i | 0.596214 | − | 0.0898648i | ||||
\(305\) | 1.21553e10 | + | 5.32560e10i | 0.0804299 | + | 0.352386i | ||||
\(306\) | 5.19967e10 | − | 3.54507e10i | 0.339023 | − | 0.231142i | ||||
\(307\) | −8.87869e10 | + | 1.53783e11i | −0.570462 | + | 0.988068i | 0.426057 | + | 0.904696i | \(0.359902\pi\) |
−0.996518 | + | 0.0833721i | \(0.973431\pi\) | |||||||
\(308\) | −7.40975e10 | − | 1.28341e11i | −0.469165 | − | 0.812617i | ||||
\(309\) | 3.92159e10 | + | 1.88854e10i | 0.244708 | + | 0.117845i | ||||
\(310\) | 7.24739e8 | − | 2.23552e8i | 0.00445712 | − | 0.00137484i | ||||
\(311\) | −1.14567e10 | + | 1.52878e11i | −0.0694442 | + | 0.926669i | 0.848305 | + | 0.529508i | \(0.177623\pi\) |
−0.917749 | + | 0.397161i | \(0.869996\pi\) | |||||||
\(312\) | −1.75409e8 | + | 7.68519e8i | −0.00104799 | + | 0.00459154i | ||||
\(313\) | 1.15705e11 | + | 2.94811e11i | 0.681400 | + | 1.73618i | 0.676775 | + | 0.736190i | \(0.263377\pi\) |
0.00462457 | + | 0.999989i | \(0.498528\pi\) | |||||||
\(314\) | −4.72050e9 | − | 6.29907e10i | −0.0274034 | − | 0.365673i | ||||
\(315\) | −9.93319e10 | − | 1.49719e10i | −0.568449 | − | 0.0856799i | ||||
\(316\) | 2.30095e10 | − | 2.13497e10i | 0.129812 | − | 0.120448i | ||||
\(317\) | −2.40274e11 | + | 1.15710e11i | −1.33641 | + | 0.643581i | −0.959248 | − | 0.282567i | \(-0.908814\pi\) |
−0.377162 | + | 0.926147i | \(0.623100\pi\) | |||||||
\(318\) | −5.70303e10 | − | 3.88826e10i | −0.312740 | − | 0.213223i | ||||
\(319\) | −1.40837e10 | + | 3.58848e10i | −0.0761482 | + | 0.194022i | ||||
\(320\) | 1.02016e10 | + | 3.14678e9i | 0.0543868 | + | 0.0167761i | ||||
\(321\) | 1.41197e10 | + | 1.31012e10i | 0.0742256 | + | 0.0688713i | ||||
\(322\) | −5.89802e10 | − | 7.39589e10i | −0.305742 | − | 0.383388i | ||||
\(323\) | −1.07841e11 | − | 1.35228e11i | −0.551279 | − | 0.691282i | ||||
\(324\) | −7.41026e10 | − | 6.87571e10i | −0.373577 | − | 0.346629i | ||||
\(325\) | 6.52849e8 | + | 2.01377e8i | 0.00324592 | + | 0.00100123i | ||||
\(326\) | −4.28992e10 | + | 1.09305e11i | −0.210363 | + | 0.535997i | ||||
\(327\) | 4.99552e11 | + | 3.40589e11i | 2.41611 | + | 1.64727i | ||||
\(328\) | −1.06789e11 | + | 5.14269e10i | −0.509442 | + | 0.245334i | ||||
\(329\) | 2.09247e11 | − | 1.94153e11i | 0.984641 | − | 0.913613i | ||||
\(330\) | 6.08384e10 | + | 9.16992e9i | 0.282400 | + | 0.0425650i | ||||
\(331\) | 1.66524e10 | + | 2.22211e11i | 0.0762520 | + | 1.01751i | 0.895787 | + | 0.444483i | \(0.146613\pi\) |
−0.819535 | + | 0.573029i | \(0.805768\pi\) | |||||||
\(332\) | −8.00011e10 | − | 2.03840e11i | −0.361389 | − | 0.920804i | ||||
\(333\) | 4.67258e10 | − | 2.04719e11i | 0.208237 | − | 0.912345i | ||||
\(334\) | −9.19201e9 | + | 1.22659e11i | −0.0404158 | + | 0.539312i | ||||
\(335\) | −9.06592e10 | + | 2.79647e10i | −0.393288 | + | 0.121313i | ||||
\(336\) | 1.74991e11 | + | 8.42714e10i | 0.749014 | + | 0.360706i | ||||
\(337\) | 1.44276e11 | + | 2.49893e11i | 0.609339 | + | 1.05541i | 0.991349 | + | 0.131249i | \(0.0418986\pi\) |
−0.382010 | + | 0.924158i | \(0.624768\pi\) | |||||||
\(338\) | 4.89981e10 | − | 8.48672e10i | 0.204199 | − | 0.353684i | ||||
\(339\) | 2.16163e11 | − | 1.47377e11i | 0.888960 | − | 0.606082i | ||||
\(340\) | −1.50430e10 | − | 6.59075e10i | −0.0610489 | − | 0.267473i | ||||
\(341\) | 7.17547e9 | − | 1.08153e9i | 0.0287380 | − | 0.00433155i | ||||
\(342\) | −9.56644e10 | + | 1.19959e11i | −0.378123 | + | 0.474151i | ||||
\(343\) | 2.44988e11 | 0.955700 | ||||||||
\(344\) | 3.77910e10 | − | 1.90746e11i | 0.145504 | − | 0.734416i | ||||
\(345\) | −1.96186e11 | −0.745559 | ||||||||
\(346\) | 5.76928e10 | − | 7.23445e10i | 0.216411 | − | 0.271371i | ||||
\(347\) | −4.36119e11 | + | 6.57344e10i | −1.61481 | + | 0.243394i | −0.893450 | − | 0.449162i | \(-0.851723\pi\) |
−0.721364 | + | 0.692556i | \(0.756485\pi\) | |||||||
\(348\) | −1.47978e10 | − | 6.48335e10i | −0.0540868 | − | 0.236970i | ||||
\(349\) | 4.09120e10 | − | 2.78933e10i | 0.147617 | − | 0.100643i | −0.487259 | − | 0.873257i | \(-0.662003\pi\) |
0.634876 | + | 0.772614i | \(0.281051\pi\) | |||||||
\(350\) | −4.87943e10 | + | 8.45143e10i | −0.173805 | + | 0.301040i | ||||
\(351\) | 2.67406e8 | + | 4.63161e8i | 0.000940350 | + | 0.00162873i | ||||
\(352\) | −2.71040e11 | − | 1.30526e11i | −0.941003 | − | 0.453163i | ||||
\(353\) | −1.64016e11 | + | 5.05923e10i | −0.562213 | + | 0.173420i | −0.562819 | − | 0.826580i | \(-0.690283\pi\) |
0.000606080 | 1.00000i | \(0.499807\pi\) | ||||||||
\(354\) | −1.67449e10 | + | 2.23446e11i | −0.0566721 | + | 0.756236i | ||||
\(355\) | 3.51409e10 | − | 1.53962e11i | 0.117432 | − | 0.514502i | ||||
\(356\) | 1.09396e11 | + | 2.78736e11i | 0.360974 | + | 0.919746i | ||||
\(357\) | −2.79605e10 | − | 3.73107e11i | −0.0911040 | − | 1.21570i | ||||
\(358\) | 3.15684e10 | + | 4.75817e9i | 0.101573 | + | 0.0153097i | ||||
\(359\) | 5.02326e10 | − | 4.66090e10i | 0.159610 | − | 0.148097i | −0.596325 | − | 0.802743i | \(-0.703373\pi\) |
0.755935 | + | 0.654647i | \(0.227183\pi\) | |||||||
\(360\) | −1.18877e11 | + | 5.72483e10i | −0.373025 | + | 0.179639i | ||||
\(361\) | 8.18083e10 | + | 5.57760e10i | 0.253522 | + | 0.172848i | ||||
\(362\) | 7.74554e10 | − | 1.97353e11i | 0.237063 | − | 0.604025i | ||||
\(363\) | 8.32065e10 | + | 2.56658e10i | 0.251523 | + | 0.0775845i | ||||
\(364\) | 8.82273e8 | + | 8.18629e8i | 0.00263419 | + | 0.00244417i | ||||
\(365\) | −8.45828e10 | − | 1.06063e11i | −0.249439 | − | 0.312786i | ||||
\(366\) | 1.12532e11 | + | 1.41110e11i | 0.327801 | + | 0.411050i | ||||
\(367\) | 1.99966e9 | + | 1.85541e9i | 0.00575385 | + | 0.00533880i | 0.683044 | − | 0.730377i | \(-0.260656\pi\) |
−0.677291 | + | 0.735716i | \(0.736846\pi\) | |||||||
\(368\) | 2.04804e11 | + | 6.31736e10i | 0.582134 | + | 0.179565i | ||||
\(369\) | −1.27644e11 | + | 3.25232e11i | −0.358411 | + | 0.913217i | ||||
\(370\) | 3.73091e10 | + | 2.54369e10i | 0.103492 | + | 0.0705598i | ||||
\(371\) | −2.08908e11 | + | 1.00605e11i | −0.572496 | + | 0.275700i | ||||
\(372\) | −9.17637e9 | + | 8.51443e9i | −0.0248444 | + | 0.0230522i | ||||
\(373\) | 6.55701e11 | + | 9.88310e10i | 1.75394 | + | 0.264365i | 0.945830 | − | 0.324661i | \(-0.105250\pi\) |
0.808114 | + | 0.589026i | \(0.200488\pi\) | |||||||
\(374\) | 9.67610e9 | + | 1.29119e11i | 0.0255728 | + | 0.341245i | ||||
\(375\) | 1.64251e11 | + | 4.18504e11i | 0.428910 | + | 1.09284i | ||||
\(376\) | 8.34292e10 | − | 3.65527e11i | 0.215265 | − | 0.943136i | ||||
\(377\) | 2.33964e7 | − | 3.12203e8i | 5.96504e−5 | − | 0.000795979i | ||||
\(378\) | −7.29988e10 | + | 2.25172e10i | −0.183909 | + | 0.0567284i | ||||
\(379\) | 2.98350e11 | + | 1.43678e11i | 0.742761 | + | 0.357695i | 0.766689 | − | 0.642019i | \(-0.221903\pi\) |
−0.0239277 | + | 0.999714i | \(0.507617\pi\) | |||||||
\(380\) | 8.24107e10 | + | 1.42739e11i | 0.202748 | + | 0.351170i | ||||
\(381\) | 4.98749e11 | − | 8.63859e11i | 1.21261 | − | 2.10030i | ||||
\(382\) | −1.03825e10 | + | 7.07867e9i | −0.0249469 | + | 0.0170085i | ||||
\(383\) | 1.38979e10 | + | 6.08906e10i | 0.0330031 | + | 0.144596i | 0.988745 | − | 0.149610i | \(-0.0478019\pi\) |
−0.955742 | + | 0.294206i | \(0.904945\pi\) | |||||||
\(384\) | 6.50767e11 | − | 9.80874e10i | 1.52734 | − | 0.230209i | ||||
\(385\) | 1.28864e11 | − | 1.61590e11i | 0.298922 | − | 0.374836i | ||||
\(386\) | 2.70122e11 | 0.619323 | ||||||||
\(387\) | −3.00777e11 | − | 4.87937e11i | −0.681624 | − | 1.10577i | ||||
\(388\) | 7.75400e10 | 0.173693 | ||||||||
\(389\) | −4.06131e11 | + | 5.09272e11i | −0.899275 | + | 1.12766i | 0.0919885 | + | 0.995760i | \(0.470678\pi\) |
−0.991264 | + | 0.131895i | \(0.957894\pi\) | |||||||
\(390\) | −4.94097e8 | + | 7.44732e7i | −0.00108149 | + | 0.000163008i | ||||
\(391\) | −9.18729e10 | − | 4.02521e11i | −0.198789 | − | 0.870951i | ||||
\(392\) | −2.33257e10 | + | 1.59032e10i | −0.0498938 | + | 0.0340170i | ||||
\(393\) | 2.09805e11 | − | 3.63394e11i | 0.443660 | − | 0.768441i | ||||
\(394\) | 4.40536e10 | + | 7.63030e10i | 0.0920976 | + | 0.159518i | ||||
\(395\) | 3.94411e10 | + | 1.89939e10i | 0.0815197 | + | 0.0392578i | ||||
\(396\) | −5.48283e11 | + | 1.69123e11i | −1.12041 | + | 0.345600i | ||||
\(397\) | −5.28318e10 | + | 7.04991e11i | −0.106743 | + | 1.42438i | 0.644625 | + | 0.764499i | \(0.277013\pi\) |
−0.751368 | + | 0.659883i | \(0.770606\pi\) | |||||||
\(398\) | −2.00156e10 | + | 8.76941e10i | −0.0399848 | + | 0.175185i | ||||
\(399\) | 3.33272e11 | + | 8.49162e11i | 0.658295 | + | 1.67731i | ||||
\(400\) | −1.65231e10 | − | 2.20486e11i | −0.0322717 | − | 0.430636i | ||||
\(401\) | −8.22206e11 | − | 1.23928e11i | −1.58793 | − | 0.239342i | −0.705125 | − | 0.709083i | \(-0.749109\pi\) |
−0.882804 | + | 0.469741i | \(0.844347\pi\) | |||||||
\(402\) | −2.29791e11 | + | 2.13215e11i | −0.438850 | + | 0.407193i | ||||
\(403\) | −5.30973e7 | + | 2.55703e7i | −0.000100277 | + | 4.82907e-5i | ||||
\(404\) | −4.91461e11 | − | 3.35072e11i | −0.917852 | − | 0.625781i | ||||
\(405\) | 5.15068e10 | − | 1.31237e11i | 0.0951299 | − | 0.242387i | ||||
\(406\) | 4.27334e10 | + | 1.31815e10i | 0.0780550 | + | 0.0240768i | ||||
\(407\) | 3.16705e11 | + | 2.93859e11i | 0.572111 | + | 0.530841i | ||||
\(408\) | −3.06409e11 | − | 3.84224e11i | −0.547432 | − | 0.686458i | ||||
\(409\) | −6.28902e11 | − | 7.88619e11i | −1.11129 | − | 1.39352i | −0.910313 | − | 0.413921i | \(-0.864159\pi\) |
−0.200980 | − | 0.979595i | \(-0.564413\pi\) | |||||||
\(410\) | −5.50758e10 | − | 5.11028e10i | −0.0962572 | − | 0.0893136i | ||||
\(411\) | −1.42486e12 | − | 4.39511e11i | −2.46311 | − | 0.759770i | ||||
\(412\) | 3.18904e10 | − | 8.12554e10i | 0.0545283 | − | 0.138936i | ||||
\(413\) | 6.21927e11 | + | 4.24023e11i | 1.05187 | + | 0.717156i | ||||
\(414\) | −3.29985e11 | + | 1.58912e11i | −0.552068 | + | 0.265862i | ||||
\(415\) | 2.23872e11 | − | 2.07723e11i | 0.370496 | − | 0.343770i | ||||
\(416\) | 2.41590e9 | + | 3.64139e8i | 0.00395512 | + | 0.000596138i | ||||
\(417\) | 8.19421e10 | + | 1.09344e12i | 0.132707 | + | 1.77086i | ||||
\(418\) | −1.15333e11 | − | 2.93864e11i | −0.184783 | − | 0.470818i | ||||
\(419\) | −8.15148e10 | + | 3.57139e11i | −0.129203 | + | 0.566076i | 0.868337 | + | 0.495975i | \(0.165189\pi\) |
−0.997540 | + | 0.0701009i | \(0.977668\pi\) | |||||||
\(420\) | −2.66443e10 | + | 3.55544e11i | −0.0417814 | + | 0.557534i | ||||
\(421\) | −6.58013e11 | + | 2.02970e11i | −1.02086 | + | 0.314893i | −0.759610 | − | 0.650379i | \(-0.774610\pi\) |
−0.261248 | + | 0.965272i | \(0.584134\pi\) | |||||||
\(422\) | −3.06888e11 | − | 1.47789e11i | −0.471057 | − | 0.226849i | ||||
\(423\) | −5.52589e11 | − | 9.57112e11i | −0.839209 | − | 1.45355i | ||||
\(424\) | −1.52278e11 | + | 2.63754e11i | −0.228819 | + | 0.396326i | ||||
\(425\) | −3.51920e11 | + | 2.39935e11i | −0.523232 | + | 0.356734i | ||||
\(426\) | −1.16108e11 | − | 5.08703e11i | −0.170813 | − | 0.748379i | ||||
\(427\) | 5.99533e11 | − | 9.03651e10i | 0.872746 | − | 0.131545i | ||||
\(428\) | 2.40841e10 | − | 3.02005e10i | 0.0346923 | − | 0.0435027i | ||||
\(429\) | −4.78081e9 | −0.00681465 | ||||||||
\(430\) | 1.21304e11 | − | 2.18745e10i | 0.171107 | − | 0.0308553i | ||||
\(431\) | 2.95405e11 | 0.412354 | 0.206177 | − | 0.978515i | \(-0.433898\pi\) | ||||
0.206177 | + | 0.978515i | \(0.433898\pi\) | |||||||
\(432\) | 1.07914e11 | − | 1.35320e11i | 0.149074 | − | 0.186933i | ||||
\(433\) | 2.50045e11 | − | 3.76882e10i | 0.341840 | − | 0.0515240i | 0.0241209 | − | 0.999709i | \(-0.492321\pi\) |
0.317719 | + | 0.948185i | \(0.397083\pi\) | |||||||
\(434\) | −1.87320e9 | − | 8.20703e9i | −0.00253443 | − | 0.0111041i | ||||
\(435\) | 7.66303e10 | − | 5.22456e10i | 0.102612 | − | 0.0699598i | ||||
\(436\) | 6.06254e11 | − | 1.05006e12i | 0.803462 | − | 1.39164i | ||||
\(437\) | 5.03312e11 | + | 8.71763e11i | 0.660193 | + | 1.14349i | ||||
\(438\) | −4.03843e11 | − | 1.94480e11i | −0.524299 | − | 0.252489i | ||||
\(439\) | −6.90035e11 | + | 2.12848e11i | −0.886708 | + | 0.273513i | −0.704464 | − | 0.709740i | \(-0.748812\pi\) |
−0.182244 | + | 0.983253i | \(0.558336\pi\) | |||||||
\(440\) | 2.02871e10 | − | 2.70712e11i | 0.0258037 | − | 0.344327i | ||||
\(441\) | −1.85176e10 | + | 8.11308e10i | −0.0233137 | + | 0.102144i | ||||
\(442\) | −3.84183e8 | − | 9.78881e8i | −0.000478782 | − | 0.00121992i | ||||
\(443\) | −3.79899e10 | − | 5.06941e11i | −0.0468653 | − | 0.625375i | −0.970345 | − | 0.241726i | \(-0.922286\pi\) |
0.923479 | − | 0.383649i | \(-0.125333\pi\) | |||||||
\(444\) | −7.36970e11 | − | 1.11080e11i | −0.899967 | − | 0.135648i | ||||
\(445\) | −3.06129e11 | + | 2.84046e11i | −0.370071 | + | 0.343375i | ||||
\(446\) | 2.00775e11 | − | 9.66881e10i | 0.240272 | − | 0.115709i | ||||
\(447\) | 3.04955e11 | + | 2.07915e11i | 0.361286 | + | 0.246321i | ||||
\(448\) | 4.32911e10 | − | 1.10304e11i | 0.0507747 | − | 0.129372i | ||||
\(449\) | 1.25417e12 | + | 3.86861e11i | 1.45629 | + | 0.449207i | 0.919023 | − | 0.394204i | \(-0.128980\pi\) |
0.537270 | + | 0.843410i | \(0.319456\pi\) | |||||||
\(450\) | 2.76976e11 | + | 2.56996e11i | 0.318409 | + | 0.295440i | ||||
\(451\) | −4.48194e11 | − | 5.62017e11i | −0.510119 | − | 0.639669i | ||||
\(452\) | −3.27125e11 | − | 4.10201e11i | −0.368630 | − | 0.462247i | ||||
\(453\) | −8.61936e11 | − | 7.99759e11i | −0.961685 | − | 0.892313i | ||||
\(454\) | 2.08197e11 | + | 6.42204e10i | 0.229998 | + | 0.0709450i | ||||
\(455\) | −6.13245e8 | + | 1.56252e9i | −0.000670785 | + | 0.00170913i | ||||
\(456\) | 9.89984e11 | + | 6.74960e11i | 1.07223 | + | 0.731031i | ||||
\(457\) | 1.43685e11 | − | 6.91948e10i | 0.154095 | − | 0.0742080i | −0.355247 | − | 0.934772i | \(-0.615603\pi\) |
0.509342 | + | 0.860564i | \(0.329889\pi\) | |||||||
\(458\) | 1.63815e11 | − | 1.51998e11i | 0.173964 | − | 0.161415i | ||||
\(459\) | −3.29696e11 | − | 4.96937e10i | −0.346702 | − | 0.0522569i | ||||
\(460\) | 2.94017e10 | + | 3.92338e11i | 0.0306170 | + | 0.408555i | ||||
\(461\) | −1.12664e11 | − | 2.87063e11i | −0.116180 | − | 0.296021i | 0.860942 | − | 0.508704i | \(-0.169875\pi\) |
−0.977121 | + | 0.212683i | \(0.931780\pi\) | |||||||
\(462\) | 1.51958e11 | − | 6.65770e11i | 0.155179 | − | 0.679884i | ||||
\(463\) | −9.39930e10 | + | 1.25425e12i | −0.0950564 | + | 1.26844i | 0.722005 | + | 0.691888i | \(0.243221\pi\) |
−0.817061 | + | 0.576551i | \(0.804398\pi\) | |||||||
\(464\) | −9.68200e10 | + | 2.98650e10i | −0.0969693 | + | 0.0299111i | ||||
\(465\) | −1.57295e10 | − | 7.57491e9i | −0.0156018 | − | 0.00751345i | ||||
\(466\) | 3.06021e11 | + | 5.30045e11i | 0.300618 | + | 0.520686i | ||||
\(467\) | 4.11309e11 | − | 7.12408e11i | 0.400168 | − | 0.693111i | −0.593578 | − | 0.804777i | \(-0.702285\pi\) |
0.993746 | + | 0.111665i | \(0.0356184\pi\) | |||||||
\(468\) | 3.85018e9 | − | 2.62501e9i | 0.00371001 | − | 0.00252944i | ||||
\(469\) | 2.34323e11 | + | 1.02664e12i | 0.223633 | + | 0.979802i | ||||
\(470\) | 2.35005e11 | − | 3.54214e10i | 0.222145 | − | 0.0334830i | ||||
\(471\) | −9.06584e11 | + | 1.13682e12i | −0.848817 | + | 1.06438i | ||||
\(472\) | 9.88681e11 | 0.916890 | ||||||||
\(473\) | 1.17884e12 | − | 3.39722e10i | 1.08288 | − | 0.0312068i | ||||
\(474\) | 1.44640e11 | 0.131609 | ||||||||
\(475\) | 6.47469e11 | − | 8.11901e11i | 0.583577 | − | 0.731782i | ||||
\(476\) | −7.41959e11 | + | 1.11832e11i | −0.662443 | + | 0.0998472i | ||||
\(477\) | 1.99767e11 | + | 8.75237e11i | 0.176682 | + | 0.774092i | ||||
\(478\) | −5.77306e11 | + | 3.93601e11i | −0.505802 | + | 0.344850i | ||||
\(479\) | 9.38665e11 | − | 1.62582e12i | 0.814706 | − | 1.41111i | −0.0948331 | − | 0.995493i | \(-0.530232\pi\) |
0.909539 | − | 0.415619i | \(-0.136435\pi\) | |||||||
\(480\) | 3.61884e11 | + | 6.26801e11i | 0.311160 | + | 0.538944i | ||||
\(481\) | −3.16129e9 | − | 1.52240e9i | −0.00269285 | − | 0.00129681i | ||||
\(482\) | 5.47992e10 | − | 1.69033e10i | 0.0462448 | − | 0.0142646i | ||||
\(483\) | −1.62727e11 | + | 2.17144e12i | −0.136049 | + | 1.81545i | ||||
\(484\) | 3.88573e10 | − | 1.70245e11i | 0.0321861 | − | 0.141017i | ||||
\(485\) | 3.95086e10 | + | 1.00666e11i | 0.0324231 | + | 0.0826126i | ||||
\(486\) | −5.18265e10 | − | 6.91576e11i | −0.0421394 | − | 0.562311i | ||||
\(487\) | −2.18809e12 | − | 3.29801e11i | −1.76272 | − | 0.265688i | −0.813789 | − | 0.581161i | \(-0.802599\pi\) |
−0.948934 | + | 0.315473i | \(0.897837\pi\) | |||||||
\(488\) | 5.83779e11 | − | 5.41668e11i | 0.465972 | − | 0.432359i | ||||
\(489\) | 2.43527e12 | − | 1.17276e12i | 1.92600 | − | 0.927514i | ||||
\(490\) | −1.47857e10 | − | 1.00807e10i | −0.0115867 | − | 0.00789969i | ||||
\(491\) | −7.62680e11 | + | 1.94328e12i | −0.592210 | + | 1.50893i | 0.249158 | + | 0.968463i | \(0.419846\pi\) |
−0.841368 | + | 0.540463i | \(0.818249\pi\) | |||||||
\(492\) | 1.18497e12 | + | 3.65515e11i | 0.911727 | + | 0.281231i | ||||
\(493\) | 1.43080e11 | + | 1.32759e11i | 0.109086 | + | 0.101217i | ||||
\(494\) | 1.59853e9 | + | 2.00449e9i | 0.00120767 | + | 0.00151437i | ||||
\(495\) | −4.98928e11 | − | 6.25636e11i | −0.373521 | − | 0.468380i | ||||
\(496\) | 1.39812e10 | + | 1.29727e10i | 0.0103724 | + | 0.00962415i | ||||
\(497\) | −1.67495e12 | − | 5.16653e11i | −1.23140 | − | 0.379835i | ||||
\(498\) | 3.68650e11 | − | 9.39304e11i | 0.268585 | − | 0.684343i | ||||
\(499\) | −1.53714e12 | − | 1.04801e12i | −1.10984 | − | 0.756679i | −0.137563 | − | 0.990493i | \(-0.543927\pi\) |
−0.972281 | + | 0.233814i | \(0.924879\pi\) | |||||||
\(500\) | 8.12320e11 | − | 3.91193e11i | 0.581249 | − | 0.279915i | ||||
\(501\) | 2.07556e12 | − | 1.92584e12i | 1.47186 | − | 1.36569i | ||||
\(502\) | −8.44099e9 | − | 1.27228e9i | −0.00593235 | − | 0.000894158i | ||||
\(503\) | 1.58555e11 | + | 2.11578e12i | 0.110440 | + | 1.47372i | 0.727125 | + | 0.686505i | \(0.240856\pi\) |
−0.616685 | + | 0.787210i | \(0.711525\pi\) | |||||||
\(504\) | 5.35037e11 | + | 1.36325e12i | 0.369357 | + | 0.941106i | ||||
\(505\) | 1.84596e11 | − | 8.08767e11i | 0.126302 | − | 0.553366i | ||||
\(506\) | 5.63138e10 | − | 7.51455e11i | 0.0381889 | − | 0.509596i | ||||
\(507\) | −2.15556e12 | + | 6.64901e11i | −1.44885 | + | 0.446911i | ||||
\(508\) | −1.80232e12 | − | 8.67950e11i | −1.20073 | − | 0.578240i | ||||
\(509\) | 1.13287e12 | + | 1.96219e12i | 0.748083 | + | 1.29572i | 0.948740 | + | 0.316057i | \(0.102359\pi\) |
−0.200657 | + | 0.979662i | \(0.564308\pi\) | |||||||
\(510\) | 1.55758e11 | − | 2.69781e11i | 0.101949 | − | 0.176581i | ||||
\(511\) | −1.24409e12 | + | 8.48209e11i | −0.807160 | + | 0.550312i | ||||
\(512\) | −3.12578e11 | − | 1.36950e12i | −0.201022 | − | 0.880736i | ||||
\(513\) | 8.03830e11 | − | 1.21158e11i | 0.512432 | − | 0.0772367i | ||||
\(514\) | −2.02622e9 | + | 2.54080e9i | −0.00128042 | + | 0.00160560i | ||||
\(515\) | 1.21739e11 | 0.0762599 | ||||||||
\(516\) | −1.64721e12 | + | 1.19398e12i | −1.02288 | + | 0.741436i | ||||
\(517\) | 2.27387e12 | 1.39978 | ||||||||
\(518\) | 3.12489e11 | − | 3.91848e11i | 0.190700 | − | 0.239130i | ||||
\(519\) | −2.10620e12 | + | 3.17459e11i | −1.27423 | + | 0.192059i | ||||
\(520\) | 4.90602e8 | + | 2.14947e9i | 0.000294249 | + | 0.00128919i | ||||
\(521\) | 1.61879e12 | − | 1.10367e12i | 0.962544 | − | 0.656252i | 0.0233824 | − | 0.999727i | \(-0.492556\pi\) |
0.939162 | + | 0.343475i | \(0.111604\pi\) | |||||||
\(522\) | 8.65728e10 | − | 1.49949e11i | 0.0510345 | − | 0.0883944i | ||||
\(523\) | 1.04292e12 | + | 1.80639e12i | 0.609528 | + | 1.05573i | 0.991318 | + | 0.131484i | \(0.0419742\pi\) |
−0.381791 | + | 0.924249i | \(0.624693\pi\) | |||||||
\(524\) | −7.58168e11 | − | 3.65114e11i | −0.439313 | − | 0.211562i | ||||
\(525\) | 2.14659e12 | − | 6.62136e11i | 1.23320 | − | 0.380391i | ||||
\(526\) | −2.04097e10 | + | 2.72348e11i | −0.0116252 | + | 0.155127i | ||||
\(527\) | 8.17568e9 | − | 3.58200e10i | 0.00461717 | − | 0.0202291i | ||||
\(528\) | 5.65259e11 | + | 1.44026e12i | 0.316515 | + | 0.806468i | ||||
\(529\) | 4.49666e10 | + | 6.00038e11i | 0.0249655 | + | 0.333141i | ||||
\(530\) | −1.90897e11 | − | 2.87731e10i | −0.105089 | − | 0.0158396i | ||||
\(531\) | 2.13637e12 | − | 1.98226e12i | 1.16614 | − | 1.08202i | ||||
\(532\) | 1.64823e12 | − | 7.93747e11i | 0.892106 | − | 0.429615i | ||||
\(533\) | 4.82366e9 | + | 3.28871e9i | 0.00258883 | + | 0.00176504i | ||||
\(534\) | −5.04102e11 | + | 1.28443e12i | −0.268277 | + | 0.683558i | ||||
\(535\) | 5.14792e10 | + | 1.58792e10i | 0.0271669 | + | 0.00837988i | ||||
\(536\) | 1.01391e12 | + | 9.40774e11i | 0.530590 | + | 0.492316i | ||||
\(537\) | −4.58190e11 | − | 5.74552e11i | −0.237772 | − | 0.298157i | ||||
\(538\) | −2.45873e10 | − | 3.08316e10i | −0.0126529 | − | 0.0158663i | ||||
\(539\) | −1.25511e11 | − | 1.16457e11i | −0.0640520 | − | 0.0594316i | ||||
\(540\) | 3.03610e11 | + | 9.36511e10i | 0.153654 | + | 0.0473959i | ||||
\(541\) | −1.23180e11 | + | 3.13856e11i | −0.0618231 | + | 0.157523i | −0.958447 | − | 0.285270i | \(-0.907917\pi\) |
0.896624 | + | 0.442792i | \(0.146012\pi\) | |||||||
\(542\) | −5.46052e11 | − | 3.72292e11i | −0.271792 | − | 0.185305i | ||||
\(543\) | −4.39692e12 | + | 2.11745e12i | −2.17045 | + | 1.04523i | ||||
\(544\) | −1.11656e12 | + | 1.03602e12i | −0.546622 | + | 0.507191i | ||||
\(545\) | 1.67215e12 | + | 2.52035e11i | 0.811877 | + | 0.122371i | ||||
\(546\) | 4.14459e8 | + | 5.53057e9i | 0.000199579 | + | 0.00266319i | ||||
\(547\) | −1.51746e12 | − | 3.86642e12i | −0.724725 | − | 1.84657i | −0.480982 | − | 0.876731i | \(-0.659720\pi\) |
−0.243744 | − | 0.969840i | \(-0.578376\pi\) | |||||||
\(548\) | −6.65409e11 | + | 2.91535e12i | −0.315193 | + | 1.38095i | ||||
\(549\) | 1.75426e11 | − | 2.34090e12i | 0.0824174 | − | 1.09978i | ||||
\(550\) | −7.42857e11 | + | 2.29141e11i | −0.346157 | + | 0.106775i | ||||
\(551\) | −4.28750e11 | − | 2.06475e11i | −0.198163 | − | 0.0954302i | ||||
\(552\) | 1.43007e12 | + | 2.47695e12i | 0.655587 | + | 1.13551i | ||||
\(553\) | 2.42943e11 | − | 4.20790e11i | 0.110469 | − | 0.191339i | ||||
\(554\) | −1.02537e12 | + | 6.99089e11i | −0.462475 | + | 0.315310i | ||||
\(555\) | −2.31295e11 | − | 1.01337e12i | −0.103478 | − | 0.453367i | ||||
\(556\) | 2.17442e12 | − | 3.27741e11i | 0.964953 | − | 0.145443i | ||||
\(557\) | 3.09290e11 | − | 3.87837e11i | 0.136150 | − | 0.170726i | −0.709082 | − | 0.705126i | \(-0.750891\pi\) |
0.845232 | + | 0.534399i | \(0.179462\pi\) | |||||||
\(558\) | −3.25927e10 | −0.0142320 | ||||||||
\(559\) | −9.06724e9 | + | 3.08560e9i | −0.00392755 | + | 0.00133656i | ||||
\(560\) | 5.43230e11 | 0.233420 | ||||||||
\(561\) | 1.85832e12 | − | 2.33026e12i | 0.792113 | − | 0.993279i | ||||
\(562\) | −9.25770e11 | + | 1.39537e11i | −0.391462 | + | 0.0590034i | ||||
\(563\) | −5.38671e11 | − | 2.36007e12i | −0.225962 | − | 0.990006i | −0.952896 | − | 0.303298i | \(-0.901912\pi\) |
0.726934 | − | 0.686708i | \(-0.240945\pi\) | |||||||
\(564\) | −3.24101e12 | + | 2.20968e12i | −1.34873 | + | 0.919546i | ||||
\(565\) | 3.65866e11 | − | 6.33698e11i | 0.151044 | − | 0.261616i | ||||
\(566\) | −2.70608e11 | − | 4.68707e11i | −0.110832 | − | 0.191968i | ||||
\(567\) | −1.40985e12 | − | 6.78946e11i | −0.572859 | − | 0.275874i | ||||
\(568\) | −2.20001e12 | + | 6.78612e11i | −0.886863 | + | 0.273561i | ||||
\(569\) | −1.67546e11 | + | 2.23574e12i | −0.0670082 | + | 0.894162i | 0.857862 | + | 0.513880i | \(0.171792\pi\) |
−0.924870 | + | 0.380282i | \(0.875827\pi\) | |||||||
\(570\) | −1.69006e11 | + | 7.40464e11i | −0.0670603 | + | 0.293810i | ||||
\(571\) | 7.52679e11 | + | 1.91779e12i | 0.296311 | + | 0.754987i | 0.999052 | + | 0.0435415i | \(0.0138641\pi\) |
−0.702741 | + | 0.711446i | \(0.748041\pi\) | |||||||
\(572\) | 7.16482e8 | + | 9.56079e9i | 0.000279849 | + | 0.00373432i | ||||
\(573\) | 2.86025e11 | + | 4.31114e10i | 0.110843 | + | 0.0167069i | ||||
\(574\) | −6.11302e11 | + | 5.67206e11i | −0.235046 | + | 0.218091i | ||||
\(575\) | 2.23338e12 | − | 1.07554e12i | 0.852035 | − | 0.410319i | ||||
\(576\) | −3.79064e11 | − | 2.58442e11i | −0.143487 | − | 0.0978276i | ||||
\(577\) | 2.94726e11 | − | 7.50949e11i | 0.110695 | − | 0.282045i | −0.864782 | − | 0.502147i | \(-0.832544\pi\) |
0.975477 | + | 0.220102i | \(0.0706389\pi\) | |||||||
\(578\) | −4.20744e11 | − | 1.29782e11i | −0.156799 | − | 0.0483660i | ||||
\(579\) | −4.55807e12 | − | 4.22927e12i | −1.68549 | − | 1.56391i | ||||
\(580\) | −1.15967e11 | − | 1.45418e11i | −0.0425507 | − | 0.0533569i | ||||
\(581\) | −2.11344e12 | − | 2.65017e12i | −0.769480 | − | 0.964898i | ||||
\(582\) | 2.61926e11 | + | 2.43032e11i | 0.0946291 | + | 0.0878030i | ||||
\(583\) | −1.76503e12 | − | 5.44439e11i | −0.632766 | − | 0.195182i | ||||
\(584\) | −7.22552e11 | + | 1.84103e12i | −0.257046 | + | 0.654943i | ||||
\(585\) | 5.36969e9 | + | 3.66099e9i | 0.00189560 | + | 0.00129240i | ||||
\(586\) | −1.58359e12 | + | 7.62617e11i | −0.554758 | + | 0.267157i | ||||
\(587\) | 2.11414e12 | − | 1.96163e12i | 0.734957 | − | 0.681941i | −0.221057 | − | 0.975261i | \(-0.570951\pi\) |
0.956014 | + | 0.293320i | \(0.0947602\pi\) | |||||||
\(588\) | 2.92064e11 | + | 4.40215e10i | 0.100758 | + | 0.0151868i | ||||
\(589\) | 6.69421e9 | + | 8.93280e10i | 0.00229182 | + | 0.0305822i | ||||
\(590\) | 2.28962e11 | + | 5.83386e11i | 0.0777910 | + | 0.198208i | ||||
\(591\) | 4.51303e11 | − | 1.97729e12i | 0.152168 | − | 0.666693i | ||||
\(592\) | −8.48590e10 | + | 1.13236e12i | −0.0283955 | + | 0.378912i | ||||
\(593\) | −2.29296e12 | + | 7.07285e11i | −0.761467 | + | 0.234881i | −0.651082 | − | 0.759008i | \(-0.725685\pi\) |
−0.110385 | + | 0.993889i | \(0.535208\pi\) | |||||||
\(594\) | −5.48282e11 | − | 2.64039e11i | −0.180703 | − | 0.0870218i | ||||
\(595\) | −5.23234e11 | − | 9.06267e11i | −0.171147 | − | 0.296435i | ||||
\(596\) | 3.70091e11 | − | 6.41016e11i | 0.120144 | − | 0.208095i | ||||
\(597\) | 1.71076e12 | − | 1.16638e12i | 0.551195 | − | 0.375798i | ||||
\(598\) | 1.36183e9 | + | 5.96659e9i | 0.000435481 | + | 0.00190797i | ||||
\(599\) | −3.27113e12 | + | 4.93043e11i | −1.03819 | + | 0.156482i | −0.645949 | − | 0.763381i | \(-0.723538\pi\) |
−0.392241 | + | 0.919863i | \(0.628300\pi\) | |||||||
\(600\) | 1.83966e12 | − | 2.30686e12i | 0.579505 | − | 0.726676i | ||||
\(601\) | −1.55796e12 | −0.487103 | −0.243551 | − | 0.969888i | \(-0.578312\pi\) | ||||
−0.243551 | + | 0.969888i | \(0.578312\pi\) | |||||||
\(602\) | −1.41496e11 | − | 1.36077e12i | −0.0439097 | − | 0.422280i | ||||
\(603\) | 4.07710e12 | 1.25581 | ||||||||
\(604\) | −1.47021e12 | + | 1.84358e12i | −0.449482 | + | 0.563632i | ||||
\(605\) | 2.40820e11 | − | 3.62977e10i | 0.0730790 | − | 0.0110149i | ||||
\(606\) | −6.09918e11 | − | 2.67223e12i | −0.183715 | − | 0.804909i | ||||
\(607\) | −4.77598e12 | + | 3.25621e12i | −1.42795 | + | 0.973561i | −0.430472 | + | 0.902604i | \(0.641653\pi\) |
−0.997479 | + | 0.0709573i | \(0.977395\pi\) | |||||||
\(608\) | 1.85681e12 | − | 3.21610e12i | 0.551064 | − | 0.954472i | ||||
\(609\) | −5.14707e11 | − | 8.91499e11i | −0.151629 | − | 0.262629i | ||||
\(610\) | 4.54813e11 | + | 2.19026e11i | 0.132999 | + | 0.0640489i | ||||
\(611\) | −1.76467e10 | + | 5.44330e9i | −0.00512247 | + | 0.00158007i | ||||
\(612\) | −2.17100e11 | + | 2.89700e12i | −0.0625575 | + | 0.834772i | ||||
\(613\) | 4.89464e11 | − | 2.14448e12i | 0.140007 | − | 0.613410i | −0.855424 | − | 0.517928i | \(-0.826704\pi\) |
0.995431 | − | 0.0954819i | \(-0.0304392\pi\) | |||||||
\(614\) | 5.99521e11 | + | 1.52755e12i | 0.170234 | + | 0.433749i | ||||
\(615\) | 1.29243e11 | + | 1.72463e12i | 0.0364309 | + | 0.486136i | ||||
\(616\) | −2.97949e12 | − | 4.49085e11i | −0.833735 | − | 0.125665i | ||||
\(617\) | 3.45348e12 | − | 3.20436e12i | 0.959343 | − | 0.890140i | −0.0346706 | − | 0.999399i | \(-0.511038\pi\) |
0.994013 | + | 0.109259i | \(0.0348477\pi\) | |||||||
\(618\) | 3.62401e11 | − | 1.74523e11i | 0.0999403 | − | 0.0481287i | ||||
\(619\) | −2.57841e12 | − | 1.75793e12i | −0.705901 | − | 0.481275i | 0.156385 | − | 0.987696i | \(-0.450016\pi\) |
−0.862286 | + | 0.506421i | \(0.830968\pi\) | |||||||
\(620\) | −1.27912e10 | + | 3.25915e10i | −0.00347655 | + | 0.00885811i | ||||
\(621\) | 1.85426e12 | + | 5.71962e11i | 0.500331 | + | 0.154332i | ||||
\(622\) | 1.03854e12 | + | 9.63625e11i | 0.278206 | + | 0.258138i | ||||
\(623\) | 2.88998e12 | + | 3.62392e12i | 0.768597 | + | 0.963790i | ||||
\(624\) | −7.83452e9 | − | 9.82418e9i | −0.00206863 | − | 0.00259397i | ||||
\(625\) | −1.36780e12 | − | 1.26913e12i | −0.358560 | − | 0.332695i | ||||
\(626\) | 2.79669e12 | + | 8.62663e11i | 0.727879 | + | 0.224521i | ||||
\(627\) | −2.65485e12 | + | 6.76445e12i | −0.686019 | + | 1.74795i | ||||
\(628\) | 2.40931e12 | + | 1.64264e12i | 0.618123 | + | 0.421429i | ||||
\(629\) | 1.97085e12 | − | 9.49113e11i | 0.502026 | − | 0.241763i | ||||
\(630\) | −6.80500e11 | + | 6.31412e11i | −0.172106 | + | 0.159691i | ||||
\(631\) | 7.67857e12 | + | 1.15736e12i | 1.92818 | + | 0.290627i | 0.997222 | − | 0.0744912i | \(-0.0237333\pi\) |
0.930961 | + | 0.365118i | \(0.118971\pi\) | |||||||
\(632\) | −4.76929e10 | − | 6.36417e11i | −0.0118912 | − | 0.158677i | ||||
\(633\) | 2.86454e12 | + | 7.29872e12i | 0.709149 | + | 1.80688i | ||||
\(634\) | −5.48396e11 | + | 2.40268e12i | −0.134801 | + | 0.590601i | ||||
\(635\) | 2.08490e11 | − | 2.78210e12i | 0.0508865 | − | 0.679034i | ||||
\(636\) | 3.04480e12 | − | 9.39197e11i | 0.737908 | − | 0.227614i | ||||
\(637\) | 1.25283e9 | + | 6.03331e8i | 0.000301484 | + | 0.000145187i | ||||
\(638\) | 1.78121e11 | + | 3.08515e11i | 0.0425621 | + | 0.0737197i | ||||
\(639\) | −3.39324e12 | + | 5.87727e12i | −0.805121 | + | 1.39451i | ||||
\(640\) | 1.52085e12 | − | 1.03690e12i | 0.358324 | − | 0.244301i | ||||
\(641\) | 5.18640e11 | + | 2.27231e12i | 0.121340 | + | 0.531626i | 0.998661 | + | 0.0517228i | \(0.0164712\pi\) |
−0.877321 | + | 0.479904i | \(0.840672\pi\) | |||||||
\(642\) | 1.76011e11 | − | 2.65294e10i | 0.0408915 | − | 0.00616340i | ||||
\(643\) | 1.19326e12 | − | 1.49630e12i | 0.275287 | − | 0.345199i | −0.624898 | − | 0.780706i | \(-0.714860\pi\) |
0.900185 | + | 0.435507i | \(0.143431\pi\) | |||||||
\(644\) | 4.36689e12 | 1.00043 | ||||||||
\(645\) | −2.38938e12 | − | 1.53013e12i | −0.543585 | − | 0.348105i | ||||
\(646\) | −1.59838e12 | −0.361105 | ||||||||
\(647\) | 1.20184e12 | − | 1.50706e12i | 0.269636 | − | 0.338113i | −0.628517 | − | 0.777796i | \(-0.716338\pi\) |
0.898153 | + | 0.439683i | \(0.144909\pi\) | |||||||
\(648\) | −2.03239e12 | + | 3.06333e11i | −0.452813 | + | 0.0682506i | ||||
\(649\) | 1.33428e12 | + | 5.84586e12i | 0.295220 | + | 1.29344i | ||||
\(650\) | 5.21653e9 | − | 3.55657e9i | 0.00114623 | − | 0.000781485i | ||||
\(651\) | −9.68879e10 | + | 1.67815e11i | −0.0211424 | + | 0.0366198i | ||||
\(652\) | −2.71029e12 | − | 4.69436e12i | −0.587356 | − | 1.01733i | ||||
\(653\) | 4.24579e12 | + | 2.04466e12i | 0.913796 | + | 0.440061i | 0.830852 | − | 0.556493i | \(-0.187854\pi\) |
0.0829438 | + | 0.996554i | \(0.473568\pi\) | |||||||
\(654\) | 5.33908e12 | − | 1.64689e12i | 1.14121 | − | 0.352017i | ||||
\(655\) | 8.77039e10 | − | 1.17033e12i | 0.0186180 | − | 0.248440i | ||||
\(656\) | 4.20426e11 | − | 1.84201e12i | 0.0886385 | − | 0.388350i | ||||
\(657\) | 2.12987e12 | + | 5.42683e12i | 0.445974 | + | 1.13632i | ||||
\(658\) | −1.97127e11 | − | 2.63048e12i | −0.0409949 | − | 0.547039i | ||||
\(659\) | 3.61240e11 | + | 5.44482e10i | 0.0746126 | + | 0.0112460i | 0.186242 | − | 0.982504i | \(-0.440369\pi\) |
−0.111630 | + | 0.993750i | \(0.535607\pi\) | |||||||
\(660\) | −2.08202e12 | + | 1.93184e12i | −0.427108 | + | 0.396299i | ||||
\(661\) | 2.14581e12 | − | 1.03337e12i | 0.437205 | − | 0.210547i | −0.202316 | − | 0.979320i | \(-0.564847\pi\) |
0.639521 | + | 0.768773i | \(0.279133\pi\) | |||||||
\(662\) | 1.70143e12 | + | 1.16001e12i | 0.344312 | + | 0.234748i | ||||
\(663\) | −8.84349e9 | + | 2.25328e10i | −0.00177751 | + | 0.00452903i | ||||
\(664\) | −4.25449e12 | − | 1.31234e12i | −0.849358 | − | 0.261992i | ||||
\(665\) | 1.87030e12 | + | 1.73539e12i | 0.370863 | + | 0.344111i | ||||
\(666\) | −1.20988e12 | − | 1.51714e12i | −0.238291 | − | 0.298808i | ||||
\(667\) | −7.08251e11 | − | 8.88119e11i | −0.138555 | − | 0.173742i | ||||
\(668\) | −4.16241e12 | − | 3.86215e12i | −0.808818 | − | 0.750473i | ||||
\(669\) | −4.90173e12 | − | 1.51198e12i | −0.946089 | − | 0.291830i | ||||
\(670\) | −3.20312e11 | + | 8.16142e11i | −0.0614097 | + | 0.156469i | ||||
\(671\) | 3.99061e12 | + | 2.72075e12i | 0.759954 | + | 0.518128i | ||||
\(672\) | 7.23776e12 | − | 3.48552e12i | 1.36912 | − | 0.659335i | ||||
\(673\) | 6.82405e12 | − | 6.33180e12i | 1.28226 | − | 1.18976i | 0.311351 | − | 0.950295i | \(-0.399219\pi\) |
0.970905 | − | 0.239465i | \(-0.0769719\pi\) | |||||||
\(674\) | 2.63677e12 | + | 3.97429e11i | 0.492156 | + | 0.0741806i | ||||
\(675\) | −1.49597e11 | − | 1.99624e12i | −0.0277368 | − | 0.370122i | ||||
\(676\) | 1.65273e12 | + | 4.21110e12i | 0.304399 | + | 0.775595i | ||||
\(677\) | −1.01973e12 | + | 4.46775e12i | −0.186568 | + | 0.817409i | 0.791840 | + | 0.610728i | \(0.209123\pi\) |
−0.978408 | + | 0.206681i | \(0.933734\pi\) | |||||||
\(678\) | 1.80675e11 | − | 2.41094e12i | 0.0328370 | − | 0.438180i | ||||
\(679\) | 1.14697e12 | − | 3.53794e11i | 0.207080 | − | 0.0638758i | ||||
\(680\) | −1.23839e12 | − | 5.96378e11i | −0.222110 | − | 0.106963i | ||||
\(681\) | −2.50765e12 | − | 4.34339e12i | −0.446792 | − | 0.773867i | ||||
\(682\) | 3.35294e10 | − | 5.80746e10i | 0.00593466 | − | 0.0102791i | ||||
\(683\) | −2.56337e12 | + | 1.74768e12i | −0.450732 | + | 0.307304i | −0.767326 | − | 0.641257i | \(-0.778413\pi\) |
0.316594 | + | 0.948561i | \(0.397461\pi\) | |||||||
\(684\) | −1.57611e12 | − | 6.90540e12i | −0.275318 | − | 1.20625i | ||||
\(685\) | −4.12389e12 | + | 6.21577e11i | −0.715649 | + | 0.107867i | ||||
\(686\) | 1.41157e12 | − | 1.77005e12i | 0.243356 | − | 0.305159i | ||||
\(687\) | −5.14404e12 | −0.881047 | ||||||||
\(688\) | 2.00163e12 | + | 2.36675e12i | 0.340593 | + | 0.402721i | ||||
\(689\) | 1.50011e10 | 0.00253592 | ||||||||
\(690\) | −1.13038e12 | + | 1.41745e12i | −0.189847 | + | 0.238060i | ||||
\(691\) | 5.09607e12 | − | 7.68109e11i | 0.850324 | − | 0.128166i | 0.290600 | − | 0.956845i | \(-0.406145\pi\) |
0.559724 | + | 0.828679i | \(0.310907\pi\) | |||||||
\(692\) | 9.50514e11 | + | 4.16447e12i | 0.157573 | + | 0.690371i | ||||
\(693\) | −7.33854e12 | + | 5.00333e12i | −1.20868 | + | 0.824062i | ||||
\(694\) | −2.03789e12 | + | 3.52972e12i | −0.333474 | + | 0.577594i | ||||
\(695\) | 1.53341e12 | + | 2.65595e12i | 0.249303 | + | 0.431805i | ||||
\(696\) | −1.21821e12 | − | 5.86660e11i | −0.196780 | − | 0.0947643i | ||||
\(697\) | −3.47796e12 | + | 1.07281e12i | −0.558184 | + | 0.172177i | ||||
\(698\) | 3.41953e10 | − | 4.56305e11i | 0.00545277 | − | 0.0727622i | ||||
\(699\) | 3.13501e12 | − | 1.37354e13i | 0.496697 | − | 2.17617i | ||||
\(700\) | −1.64586e12 | − | 4.19358e12i | −0.259091 | − | 0.660152i | ||||
\(701\) | 4.04057e11 | + | 5.39177e12i | 0.0631993 | + | 0.843335i | 0.935265 | + | 0.353947i | \(0.115161\pi\) |
−0.872066 | + | 0.489388i | \(0.837220\pi\) | |||||||
\(702\) | 4.88709e9 | + | 7.36610e8i | 0.000759510 | + | 0.000114478i | ||||
\(703\) | −3.90958e12 | + | 3.62756e12i | −0.603714 | + | 0.560165i | ||||
\(704\) | 8.50456e11 | − | 4.09558e11i | 0.130489 | − | 0.0628403i | ||||
\(705\) | −4.52010e12 | − | 3.08175e12i | −0.689123 | − | 0.469836i | ||||
\(706\) | −5.79493e11 | + | 1.47653e12i | −0.0877864 | + | 0.223676i | ||||
\(707\) | −8.79853e12 | − | 2.71399e12i | −1.32441 | − | 0.408527i | ||||
\(708\) | −7.58260e12 | − | 7.03562e12i | −1.13414 | − | 1.05233i | ||||
\(709\) | −6.44155e12 | − | 8.07745e12i | −0.957376 | − | 1.20051i | −0.979641 | − | 0.200760i | \(-0.935659\pi\) |
0.0222644 | − | 0.999752i | \(-0.492912\pi\) | |||||||
\(710\) | −9.09910e11 | − | 1.14099e12i | −0.134380 | − | 0.168508i | ||||
\(711\) | −1.37904e12 | − | 1.27956e12i | −0.202378 | − | 0.187780i | ||||
\(712\) | 5.81771e12 | + | 1.79452e12i | 0.848383 | + | 0.261691i | ||||
\(713\) | −7.81206e10 | + | 1.99048e11i | −0.0113204 | + | 0.0288440i | ||||
\(714\) | −2.85681e12 | − | 1.94774e12i | −0.411376 | − | 0.280472i | ||||
\(715\) | −1.20472e10 | + | 5.80164e9i | −0.00172389 | + | 0.000830183i | ||||
\(716\) | −1.08034e12 | + | 1.00241e12i | −0.153621 | + | 0.142540i | ||||
\(717\) | 1.59041e13 | + | 2.39716e12i | 2.24736 | + | 0.338735i | ||||
\(718\) | −4.73231e10 | − | 6.31483e11i | −0.00664527 | − | 0.0886750i | ||||
\(719\) | 1.88739e12 | + | 4.80898e12i | 0.263379 | + | 0.671078i | 0.999986 | − | 0.00524219i | \(-0.00166865\pi\) |
−0.736607 | + | 0.676321i | \(0.763573\pi\) | |||||||
\(720\) | 4.68017e11 | − | 2.05052e12i | 0.0649031 | − | 0.284359i | ||||
\(721\) | 1.00976e11 | − | 1.34744e12i | 0.0139159 | − | 0.185695i | ||||
\(722\) | 8.74344e11 | − | 2.69699e11i | 0.119747 | − | 0.0369371i | ||||
\(723\) | −1.18934e12 | − | 5.72756e11i | −0.161877 | − | 0.0779557i | ||||
\(724\) | 4.89348e12 | + | 8.47576e12i | 0.661903 | + | 1.14645i | ||||
\(725\) | −5.85936e11 | + | 1.01487e12i | −0.0787643 | + | 0.136424i | ||||
\(726\) | 6.64853e11 | − | 4.53289e11i | 0.0888200 | − | 0.0605564i | ||||
\(727\) | 1.24247e12 | + | 5.44360e12i | 0.164960 | + | 0.722739i | 0.987962 | + | 0.154699i | \(0.0494409\pi\) |
−0.823001 | + | 0.568040i | \(0.807702\pi\) | |||||||
\(728\) | 2.41978e10 | − | 3.64723e9i | 0.00319290 | − | 0.000481252i | ||||
\(729\) | −7.04539e12 | + | 8.83463e12i | −0.923913 | + | 1.15855i | ||||
\(730\) | −1.25366e12 | −0.163390 | ||||||||
\(731\) | 2.02049e12 | − | 5.61894e12i | 0.261715 | − | 0.727823i | ||||
\(732\) | −8.33184e12 | −1.07261 | ||||||||
\(733\) | 1.44650e12 | − | 1.81385e12i | 0.185076 | − | 0.232078i | −0.680634 | − | 0.732623i | \(-0.738296\pi\) |
0.865710 | + | 0.500545i | \(0.166867\pi\) | |||||||
\(734\) | 2.49270e10 | − | 3.75714e9i | 0.00316984 | − | 0.000477777i | ||||
\(735\) | 9.16630e10 | + | 4.01602e11i | 0.0115851 | + | 0.0507578i | ||||
\(736\) | 7.32432e12 | − | 4.99364e12i | 0.920062 | − | 0.627288i | ||||
\(737\) | −4.19426e12 | + | 7.26467e12i | −0.523663 | + | 0.907011i | ||||
\(738\) | 1.61435e12 | + | 2.79614e12i | 0.200330 | + | 0.346981i | ||||
\(739\) | 7.95193e12 | + | 3.82945e12i | 0.980782 | + | 0.472320i | 0.854374 | − | 0.519659i | \(-0.173941\pi\) |
0.126408 | + | 0.991978i | \(0.459655\pi\) | |||||||
\(740\) | −1.99190e12 | + | 6.14421e11i | −0.244189 | + | 0.0753223i | ||||
\(741\) | 4.41034e9 | − | 5.88519e10i | 0.000537390 | − | 0.00717098i | ||||
\(742\) | −4.76808e11 | + | 2.08903e12i | −0.0577465 | + | 0.253004i | ||||
\(743\) | 9.76347e11 | + | 2.48769e12i | 0.117532 | + | 0.299466i | 0.977518 | − | 0.210851i | \(-0.0676235\pi\) |
−0.859987 | + | 0.510317i | \(0.829528\pi\) | |||||||
\(744\) | 1.90203e10 | + | 2.53808e11i | 0.00227583 | + | 0.0303688i | ||||
\(745\) | 1.02077e12 | + | 1.53856e11i | 0.121402 | + | 0.0182984i | ||||
\(746\) | 4.49206e12 | − | 4.16802e12i | 0.531032 | − | 0.492725i | ||||
\(747\) | −1.18244e13 | + | 5.69432e12i | −1.38943 | + | 0.669112i | ||||
\(748\) | −4.93862e12 | − | 3.36709e12i | −0.576830 | − | 0.393276i | ||||
\(749\) | 2.18455e11 | − | 5.56614e11i | 0.0253626 | − | 0.0646229i | ||||
\(750\) | 3.97008e12 | + | 1.22461e12i | 0.458166 | + | 0.141326i | ||||
\(751\) | 9.51329e12 | + | 8.82704e12i | 1.09132 | + | 1.01259i | 0.999859 | + | 0.0167853i | \(0.00534319\pi\) |
0.0914580 | + | 0.995809i | \(0.470847\pi\) | |||||||
\(752\) | 3.72630e12 | + | 4.67263e12i | 0.424911 | + | 0.532821i | ||||
\(753\) | 1.22514e11 | + | 1.53628e11i | 0.0138870 | + | 0.0174138i | ||||
\(754\) | −2.12088e9 | − | 1.96788e9i | −0.000238970 | − | 0.000221732i | ||||
\(755\) | −3.14254e12 | − | 9.69345e11i | −0.351981 | − | 0.108572i | ||||
\(756\) | 1.28838e12 | − | 3.28275e12i | 0.143449 | − | 0.365502i | ||||
\(757\) | −4.17420e12 | − | 2.84592e12i | −0.462000 | − | 0.314986i | 0.309856 | − | 0.950783i | \(-0.399719\pi\) |
−0.771856 | + | 0.635797i | \(0.780671\pi\) | |||||||
\(758\) | 2.75710e12 | − | 1.32775e12i | 0.303348 | − | 0.146085i | ||||
\(759\) | −1.27157e13 | + | 1.17984e13i | −1.39076 | + | 1.29044i | ||||
\(760\) | 3.31376e12 | + | 4.99469e11i | 0.360297 | + | 0.0543060i | ||||
\(761\) | −1.21833e12 | − | 1.62575e13i | −0.131685 | − | 1.75721i | −0.537510 | − | 0.843258i | \(-0.680635\pi\) |
0.405825 | − | 0.913951i | \(-0.366984\pi\) | |||||||
\(762\) | −3.36773e12 | − | 8.58084e12i | −0.361860 | − | 0.922003i | ||||
\(763\) | 4.17656e12 | − | 1.82987e13i | 0.446127 | − | 1.95461i | ||||
\(764\) | 4.33498e10 | − | 5.78462e11i | 0.00460327 | − | 0.0614264i | ||||
\(765\) | −3.87166e12 | + | 1.19425e12i | −0.408715 | + | 0.126072i | ||||
\(766\) | 5.20013e11 | + | 2.50425e11i | 0.0545739 | + | 0.0262814i | ||||
\(767\) | −2.43489e10 | − | 4.21736e10i | −0.00254039 | − | 0.00440009i | ||||
\(768\) | 2.06372e12 | − | 3.57447e12i | 0.214055 | − | 0.370755i | ||||
\(769\) | 4.73164e12 | − | 3.22598e12i | 0.487914 | − | 0.332654i | −0.294248 | − | 0.955729i | \(-0.595069\pi\) |
0.782162 | + | 0.623075i | \(0.214117\pi\) | |||||||
\(770\) | −4.25010e11 | − | 1.86209e12i | −0.0435703 | − | 0.190894i | ||||
\(771\) | 7.39717e10 | − | 1.11494e10i | 0.00753913 | − | 0.00113634i | ||||
\(772\) | −7.77471e12 | + | 9.74918e12i | −0.787783 | + | 0.987848i | ||||
\(773\) | −2.70221e12 | −0.272215 | −0.136107 | − | 0.990694i | \(-0.543459\pi\) | ||||
−0.136107 | + | 0.990694i | \(0.543459\pi\) | |||||||
\(774\) | −5.25837e12 | − | 6.38262e11i | −0.526644 | − | 0.0639241i | ||||
\(775\) | 2.20592e11 | 0.0219650 | ||||||||
\(776\) | 9.82972e11 | − | 1.23261e12i | 0.0973113 | − | 0.122024i | ||||
\(777\) | −1.14081e13 | + | 1.71949e12i | −1.12284 | + | 0.169241i | ||||
\(778\) | 1.33947e12 | + | 5.86862e12i | 0.131077 | + | 0.574285i | ||||
\(779\) | 7.33191e12 | − | 4.99881e12i | 0.713344 | − | 0.486349i | ||||
\(780\) | 1.15334e10 | − | 1.99763e10i | 0.00111565 | − | 0.00193237i | ||||
\(781\) | −6.98151e12 | − | 1.20923e13i | −0.671460 | − | 1.16300i | ||||
\(782\) | −3.43758e12 | − | 1.65545e12i | −0.328717 | − | 0.158302i | ||||
\(783\) | −8.76590e11 | + | 2.70392e11i | −0.0833429 | + | 0.0257079i | ||||
\(784\) | 3.36299e10 | − | 4.48760e11i | 0.00317909 | − | 0.0424220i | ||||
\(785\) | −9.04953e11 | + | 3.96486e12i | −0.0850575 | + | 0.372661i | ||||
\(786\) | −1.41668e12 | − | 3.60964e12i | −0.132395 | − | 0.337336i | ||||
\(787\) | 9.38025e11 | + | 1.25171e13i | 0.0871622 | + | 1.16310i | 0.853653 | + | 0.520843i | \(0.174382\pi\) |
−0.766491 | + | 0.642256i | \(0.777999\pi\) | |||||||
\(788\) | −4.02187e12 | − | 6.06200e11i | −0.371587 | − | 0.0560077i | ||||
\(789\) | 4.60852e12 | − | 4.27608e12i | 0.423365 | − | 0.392825i | ||||
\(790\) | 3.64482e11 | − | 1.75525e11i | 0.0332931 | − | 0.0160331i | ||||
\(791\) | −6.71047e12 | − | 4.57512e12i | −0.609479 | − | 0.415536i | ||||
\(792\) | −4.26212e12 | + | 1.08597e13i | −0.384913 | + | 0.980741i | ||||
\(793\) | −3.74828e10 | − | 1.15619e10i | −0.00336591 | − | 0.00103824i | ||||
\(794\) | 4.78918e12 | + | 4.44371e12i | 0.427631 | + | 0.396783i | ||||
\(795\) | 2.77072e12 | + | 3.47437e12i | 0.246003 | + | 0.308478i | ||||
\(796\) | −2.58894e12 | − | 3.24643e12i | −0.228567 | − | 0.286614i | ||||
\(797\) | 3.26417e12 | + | 3.02871e12i | 0.286557 | + | 0.265886i | 0.810333 | − | 0.585970i | \(-0.199286\pi\) |
−0.523776 | + | 0.851856i | \(0.675477\pi\) | |||||||
\(798\) | 8.05546e12 | + | 2.48478e12i | 0.703198 | + | 0.216908i | ||||
\(799\) | 4.20619e12 | − | 1.07172e13i | 0.365114 | − | 0.930296i | ||||
\(800\) | −7.55596e12 | − | 5.15157e12i | −0.652206 | − | 0.444666i | ||||
\(801\) | 1.61690e13 | − | 7.78657e12i | 1.38783 | − | 0.668344i | ||||
\(802\) | −5.63275e12 | + | 5.22642e12i | −0.480768 | + | 0.446087i | ||||
\(803\) | −1.18607e13 | − | 1.78772e12i | −1.00668 | − | 0.151733i | ||||
\(804\) | −1.08141e12 | − | 1.44304e13i | −0.0912718 | − | 1.21794i | ||||
\(805\) | 2.22504e12 | + | 5.66932e12i | 0.186748 | + | 0.475827i | ||||
\(806\) | −1.21188e8 | + | 5.30960e8i | −1.01147e−5 | + | 4.43154e-5i | ||||
\(807\) | −6.78366e10 | + | 9.05216e11i | −0.00563032 | + | 0.0751314i | ||||
\(808\) | −1.15567e13 | + | 3.56476e12i | −0.953854 | + | 0.294225i | ||||
\(809\) | 1.76257e13 | + | 8.48810e12i | 1.44670 | + | 0.696694i | 0.982019 | − | 0.188784i | \(-0.0604545\pi\) |
0.464682 | + | 0.885478i | \(0.346169\pi\) | |||||||
\(810\) | −6.51423e11 | − | 1.12830e12i | −0.0531717 | − | 0.0920960i | ||||
\(811\) | −4.89060e12 | + | 8.47076e12i | −0.396980 | + | 0.687589i | −0.993352 | − | 0.115119i | \(-0.963275\pi\) |
0.596372 | + | 0.802708i | \(0.296608\pi\) | |||||||
\(812\) | −1.70571e12 | + | 1.16293e12i | −0.137690 | + | 0.0938755i | ||||
\(813\) | 3.38521e12 | + | 1.48316e13i | 0.271755 | + | 1.19064i | ||||
\(814\) | 3.94793e12 | − | 5.95054e11i | 0.315180 | − | 0.0475058i | ||||
\(815\) | 4.71350e12 | − | 5.91054e12i | 0.374226 | − | 0.469264i | ||||
\(816\) | 7.83381e12 | 0.618539 | ||||||||
\(817\) | −6.69292e11 | + | 1.45429e13i | −0.0525552 | + | 1.14196i | ||||
\(818\) | −9.32139e12 | −0.727932 | ||||||||
\(819\) | 4.49747e10 | − | 5.63965e10i | 0.00349293 | − | 0.00438000i | ||||
\(820\) | 3.42960e12 | − | 5.16928e11i | 0.264899 | − | 0.0399271i | ||||
\(821\) | −2.40340e12 | − | 1.05300e13i | −0.184622 | − | 0.808880i | −0.979392 | − | 0.201970i | \(-0.935266\pi\) |
0.794770 | − | 0.606911i | \(-0.207591\pi\) | |||||||
\(822\) | −1.13852e13 | + | 7.76230e12i | −0.869797 | + | 0.593017i | ||||
\(823\) | −2.97660e12 | + | 5.15562e12i | −0.226163 | + | 0.391726i | −0.956668 | − | 0.291182i | \(-0.905951\pi\) |
0.730505 | + | 0.682908i | \(0.239285\pi\) | |||||||
\(824\) | −8.87395e11 | − | 1.53701e12i | −0.0670571 | − | 0.116146i | ||||
\(825\) | 1.61227e13 | + | 7.76427e12i | 1.21170 | + | 0.583523i | ||||
\(826\) | 6.64698e12 | − | 2.05032e12i | 0.496837 | − | 0.153254i | ||||
\(827\) | 1.98167e11 | − | 2.64436e12i | 0.0147318 | − | 0.196583i | −0.984982 | − | 0.172658i | \(-0.944765\pi\) |
0.999714 | − | 0.0239252i | \(-0.00761637\pi\) | |||||||
\(828\) | 3.76227e12 | − | 1.64836e13i | 0.278172 | − | 1.21875i | ||||
\(829\) | −7.19678e12 | − | 1.83371e13i | −0.529228 | − | 1.34845i | −0.906444 | − | 0.422325i | \(-0.861214\pi\) |
0.377217 | − | 0.926125i | \(-0.376881\pi\) | |||||||
\(830\) | −2.10905e11 | − | 2.81434e12i | −0.0154254 | − | 0.205838i | ||||
\(831\) | 2.82478e13 | + | 4.25768e12i | 2.05485 | + | 0.309719i | ||||
\(832\) | −5.61967e9 | + | 5.21429e9i | −0.000406589 | + | 0.000377260i | ||||
\(833\) | −7.81055e11 | + | 3.76136e11i | −0.0562055 | + | 0.0270672i | ||||
\(834\) | 8.37229e12 | + | 5.70813e12i | 0.599234 | + | 0.408551i | ||||
\(835\) | 2.89319e12 | − | 7.37172e12i | 0.205962 | − | 0.524783i | ||||
\(836\) | 1.39256e13 | + | 4.29548e12i | 0.986021 | + | 0.304147i | ||||
\(837\) | 1.26583e11 | + | 1.17452e11i | 0.00891481 | + | 0.00827174i | ||||
\(838\) | 2.11068e12 | + | 2.64670e12i | 0.147851 | + | 0.185399i | ||||
\(839\) | 3.87188e12 | + | 4.85519e12i | 0.269770 | + | 0.338281i | 0.898201 | − | 0.439584i | \(-0.144874\pi\) |
−0.628431 | + | 0.777865i | \(0.716303\pi\) | |||||||
\(840\) | 5.31410e12 | + | 4.93076e12i | 0.368276 | + | 0.341710i | ||||
\(841\) | −1.33495e13 | − | 4.11777e12i | −0.920200 | − | 0.283844i | ||||
\(842\) | −2.32486e12 | + | 5.92364e12i | −0.159401 | + | 0.406148i | ||||
\(843\) | 1.78063e13 | + | 1.21401e13i | 1.21436 | + | 0.827939i | ||||
\(844\) | 1.41669e13 | − | 6.82242e12i | 0.961023 | − | 0.462804i | ||||
\(845\) | −4.62495e12 | + | 4.29133e12i | −0.312070 | + | 0.289558i | ||||
\(846\) | −1.00991e13 | − | 1.52219e12i | −0.677819 | − | 0.102165i | ||||
\(847\) | −2.02004e11 | − | 2.69556e12i | −0.0134861 | − | 0.179959i | ||||
\(848\) | −1.77365e12 | − | 4.51919e12i | −0.117784 | − | 0.300109i | ||||
\(849\) | −2.77222e12 | + | 1.21459e13i | −0.183123 | + | 0.802315i | ||||
\(850\) | −2.94145e11 | + | 3.92509e12i | −0.0193275 | + | 0.257908i | ||||
\(851\) | −1.21653e13 | + | 3.75250e12i | −0.795133 | + | 0.245266i | ||||
\(852\) | 2.17019e13 | + | 1.04511e13i | 1.41097 | + | 0.679489i | ||||
\(853\) | 1.30280e11 | + | 2.25651e11i | 0.00842570 | + | 0.0145937i | 0.870208 | − | 0.492685i | \(-0.163985\pi\) |
−0.861782 | + | 0.507279i | \(0.830651\pi\) | |||||||
\(854\) | 2.80148e12 | − | 4.85231e12i | 0.180230 | − | 0.312168i | ||||
\(855\) | 8.16187e12 | − | 5.56467e12i | 0.522327 | − | 0.356116i | ||||
\(856\) | −1.74766e11 | − | 7.65700e11i | −0.0111256 | − | 0.0487446i | ||||
\(857\) | −2.64558e13 | + | 3.98756e12i | −1.67535 | + | 0.252519i | −0.916874 | − | 0.399177i | \(-0.869296\pi\) |
−0.758480 | + | 0.651696i | \(0.774058\pi\) | |||||||
\(858\) | −2.75459e10 | + | 3.45415e10i | −0.00173526 | + | 0.00217595i | ||||
\(859\) | 3.11637e12 | 0.195290 | 0.0976451 | − | 0.995221i | \(-0.468869\pi\) | ||||
0.0976451 | + | 0.995221i | \(0.468869\pi\) | |||||||
\(860\) | −2.70191e12 | + | 5.00768e12i | −0.168434 | + | 0.312171i | ||||
\(861\) | 1.91959e13 | 1.19040 | ||||||||
\(862\) | 1.70206e12 | − | 2.13431e12i | 0.105000 | − | 0.131666i | ||||
\(863\) | −1.20090e12 | + | 1.81006e11i | −0.0736982 | + | 0.0111082i | −0.185788 | − | 0.982590i | \(-0.559484\pi\) |
0.112090 | + | 0.993698i | \(0.464246\pi\) | |||||||
\(864\) | −1.59297e12 | − | 6.97926e12i | −0.0972514 | − | 0.426086i | ||||
\(865\) | −4.92222e12 | + | 3.35591e12i | −0.298943 | + | 0.203816i | ||||
\(866\) | 1.16840e12 | − | 2.02373e12i | 0.0705931 | − | 0.122271i | ||||
\(867\) | 5.06769e12 | + | 8.77749e12i | 0.304596 | + | 0.527575i | ||||
\(868\) | 3.50121e11 | + | 1.68609e11i | 0.0209353 | + | 0.0100819i | ||||
\(869\) | 3.69863e12 | − | 1.14088e12i | 0.220015 | − | 0.0678656i | ||||
\(870\) | 6.40497e10 | − | 8.54684e11i | 0.00379036 | − | 0.0505788i | ||||
\(871\) | 1.51597e10 | − | 6.64190e10i | 0.000892502 | − | 0.00391031i | ||||
\(872\) | −9.00676e12 | − | 2.29489e13i | −0.527527 | − | 1.34412i | ||||
\(873\) | −3.47290e11 | − | 4.63426e12i | −0.0202361 | − | 0.270033i | ||||
\(874\) | 9.19848e12 | + | 1.38645e12i | 0.533230 | + | 0.0803715i | ||||
\(875\) | 1.02309e13 | − | 9.49292e12i | 0.590037 | − | 0.547474i | ||||
\(876\) | 1.86426e13 | − | 8.97782e12i | 1.06964 | − | 0.515113i | ||||
\(877\) | −6.76820e12 | − | 4.61448e12i | −0.386345 | − | 0.263406i | 0.354535 | − | 0.935043i | \(-0.384639\pi\) |
−0.740880 | + | 0.671637i | \(0.765591\pi\) | |||||||
\(878\) | −2.43799e12 | + | 6.21190e12i | −0.138455 | + | 0.352776i | ||||
\(879\) | 3.86619e13 | + | 1.19256e13i | 2.18441 | + | 0.673800i | ||||
\(880\) | 3.17220e12 | + | 2.94337e12i | 0.178315 | + | 0.165452i | ||||
\(881\) | −4.61080e12 | − | 5.78177e12i | −0.257861 | − | 0.323347i | 0.636002 | − | 0.771687i | \(-0.280587\pi\) |
−0.893863 | + | 0.448340i | \(0.852015\pi\) | |||||||
\(882\) | 4.79479e11 | + | 6.01247e11i | 0.0266784 | + | 0.0334537i | ||||
\(883\) | −1.22227e12 | − | 1.13410e12i | −0.0676617 | − | 0.0627809i | 0.645617 | − | 0.763661i | \(-0.276600\pi\) |
−0.713279 | + | 0.700880i | \(0.752791\pi\) | |||||||
\(884\) | 4.63872e10 | + | 1.43086e10i | 0.00255483 | + | 0.000788062i | ||||
\(885\) | 5.27047e12 | − | 1.34289e13i | 0.288805 | − | 0.735863i | ||||
\(886\) | −3.88155e12 | − | 2.64640e12i | −0.211618 | − | 0.144279i | ||||
\(887\) | −8.58166e12 | + | 4.13271e12i | −0.465495 | + | 0.224171i | −0.651904 | − | 0.758302i | \(-0.726029\pi\) |
0.186409 | + | 0.982472i | \(0.440315\pi\) | |||||||
\(888\) | −1.11083e13 | + | 1.03070e13i | −0.599501 | + | 0.556256i | ||||
\(889\) | −3.06201e13 | − | 4.61524e12i | −1.64418 | − | 0.247820i | ||||
\(890\) | 2.88398e11 | + | 3.84840e12i | 0.0154077 | + | 0.205601i | ||||
\(891\) | −4.55409e12 | − | 1.16036e13i | −0.242076 | − | 0.616800i | ||||
\(892\) | −2.28910e12 | + | 1.00292e13i | −0.121066 | + | 0.530427i | ||||
\(893\) | −2.09767e12 | + | 2.79915e13i | −0.110384 | + | 1.47297i | ||||
\(894\) | 3.25927e12 | − | 1.00535e12i | 0.170648 | − | 0.0526379i | ||||
\(895\) | −1.85184e12 | − | 8.91798e11i | −0.0964716 | − | 0.0464583i | ||||
\(896\) | −1.02152e13 | − | 1.76932e13i | −0.529492 | − | 0.917108i | ||||
\(897\) | 7.04384e10 | − | 1.22003e11i | 0.00363282 | − | 0.00629223i | ||||
\(898\) | 1.00213e13 | − | 6.83243e12i | 0.514259 | − | 0.350616i | ||||
\(899\) | −2.24939e10 | − | 9.85523e10i | −0.00114854 | − | 0.00503209i | ||||
\(900\) | −1.72474e13 | + | 2.59963e12i | −0.876259 | + | 0.132075i | ||||
\(901\) | −5.83097e12 | + | 7.31181e12i | −0.294767 | + | 0.369627i | ||||
\(902\) | −6.64298e12 | −0.334144 | ||||||||
\(903\) | −1.89178e13 | + | 2.51772e13i | −0.946837 | + | 1.26012i | ||||
\(904\) | −1.06677e13 | −0.531266 | ||||||||
\(905\) | −8.51031e12 | + | 1.06716e13i | −0.421722 | + | 0.528823i | ||||
\(906\) | −1.07446e13 | + | 1.61948e12i | −0.529800 | + | 0.0798545i | ||||
\(907\) | −5.57412e12 | − | 2.44218e13i | −0.273491 | − | 1.19824i | −0.905860 | − | 0.423576i | \(-0.860775\pi\) |
0.632369 | − | 0.774667i | \(-0.282083\pi\) | |||||||
\(908\) | −8.31021e12 | + | 5.66581e12i | −0.405720 | + | 0.276615i | ||||
\(909\) | −1.78248e13 | + | 3.08734e13i | −0.865937 | + | 1.49985i | ||||
\(910\) | 7.75591e9 | + | 1.34336e10i | 0.000374927 | + | 0.000649392i | ||||
\(911\) | 2.94468e12 | + | 1.41808e12i | 0.141646 | + | 0.0682133i | 0.503364 | − | 0.864074i | \(-0.332095\pi\) |
−0.361718 | + | 0.932288i | \(0.617810\pi\) | |||||||
\(912\) | −1.82510e13 | + | 5.62970e12i | −0.873597 | + | 0.269469i | ||||
\(913\) | 2.01789e12 | − | 2.69269e13i | 0.0961125 | − | 1.28253i | ||||
\(914\) | 3.27943e11 | − | 1.43681e12i | 0.0155432 | − | 0.0680991i | ||||
\(915\) | −4.24529e12 | − | 1.08168e13i | −0.200222 | − | 0.510158i | ||||
\(916\) | 7.70919e11 | + | 1.02872e13i | 0.0361809 | + | 0.482801i | ||||
\(917\) | −1.28807e13 | − | 1.94146e12i | −0.601560 | − | 0.0906705i | ||||
\(918\) | −2.25867e12 | + | 2.09574e12i | −0.104969 | + | 0.0973969i | ||||
\(919\) | −6.16191e12 | + | 2.96742e12i | −0.284968 | + | 0.137233i | −0.570908 | − | 0.821014i | \(-0.693409\pi\) |
0.285940 | + | 0.958248i | \(0.407694\pi\) | |||||||
\(920\) | 6.60949e12 | + | 4.50628e12i | 0.304175 | + | 0.207383i | ||||
\(921\) | 1.38004e13 | − | 3.51627e13i | 0.632007 | − | 1.61033i | ||||
\(922\) | −2.72318e12 | − | 8.39990e11i | −0.124104 | − | 0.0382811i | ||||
\(923\) | 8.31283e10 | + | 7.71317e10i | 0.00377000 | + | 0.00349805i | ||||
\(924\) | 1.96551e13 | + | 2.46467e13i | 0.887058 | + | 1.11234i | ||||
\(925\) | 8.18862e12 | + | 1.02682e13i | 0.367767 | + | 0.461165i | ||||
\(926\) | 8.52043e12 | + | 7.90580e12i | 0.380813 | + | 0.353343i | ||||
\(927\) | −4.99914e12 | − | 1.54203e12i | −0.222350 | − | 0.0685858i | ||||
\(928\) | −1.53104e12 | + | 3.90103e12i | −0.0677675 | + | 0.172669i | ||||
\(929\) | −2.51269e11 | − | 1.71312e11i | −0.0110680 | − | 0.00754600i | 0.557773 | − | 0.829993i | \(-0.311656\pi\) |
−0.568841 | + | 0.822447i | \(0.692608\pi\) | |||||||
\(930\) | −1.45359e11 | + | 7.00010e10i | −0.00637188 | + | 0.00306853i | ||||
\(931\) | 1.54938e12 | − | 1.43761e12i | 0.0675902 | − | 0.0627146i | ||||
\(932\) | −2.79382e13 | − | 4.21101e12i | −1.21291 | − | 0.182816i | ||||
\(933\) | −2.43709e12 | − | 3.25206e13i | −0.105294 | − | 1.40505i | ||||
\(934\) | −2.77730e12 | − | 7.07646e12i | −0.119416 | − | 0.304267i | ||||
\(935\) | 1.85498e12 | − | 8.12718e12i | 0.0793754 | − | 0.347767i | ||||
\(936\) | 7.08039e9 | − | 9.44812e10i | 0.000301520 | − | 0.00402350i | ||||
\(937\) | 2.68196e13 | − | 8.27274e12i | 1.13664 | − | 0.350607i | 0.331362 | − | 0.943504i | \(-0.392492\pi\) |
0.805279 | + | 0.592896i | \(0.202016\pi\) | |||||||
\(938\) | 8.76759e12 | + | 4.22225e12i | 0.369800 | + | 0.178086i | ||||
\(939\) | −3.36850e13 | − | 5.83441e13i | −1.41397 | − | 2.44907i | ||||
\(940\) | −5.48556e12 | + | 9.50127e12i | −0.229164 | + | 0.396923i | ||||
\(941\) | −2.40132e13 | + | 1.63719e13i | −0.998383 | + | 0.680686i | −0.948075 | − | 0.318048i | \(-0.896973\pi\) |
−0.0503082 | + | 0.998734i | \(0.516020\pi\) | |||||||
\(942\) | 2.99003e12 | + | 1.31002e13i | 0.123722 | + | 0.542062i | ||||
\(943\) | 2.09458e13 | − | 3.15707e12i | 0.862570 | − | 0.130012i | ||||
\(944\) | −9.82623e12 | + | 1.23217e13i | −0.402729 | + | 0.505006i | ||||
\(945\) | 4.91830e12 | 0.200619 | ||||||||
\(946\) | 6.54675e12 | − | 8.71289e12i | 0.265776 | − | 0.353714i | ||||
\(947\) | −3.70195e13 | −1.49574 | −0.747870 | − | 0.663846i | \(-0.768923\pi\) | ||||
−0.747870 | + | 0.663846i | \(0.768923\pi\) | |||||||
\(948\) | −4.16307e12 | + | 5.22033e12i | −0.167408 | + | 0.209923i | ||||
\(949\) | 9.63266e10 | − | 1.45189e10i | 0.00385521 | − | 0.000581080i | ||||
\(950\) | −2.13544e12 | − | 9.35598e12i | −0.0850611 | − | 0.372677i | ||||
\(951\) | 4.68721e13 | − | 3.19569e13i | 1.85824 | − | 1.26693i | ||||
\(952\) | −7.62805e12 | + | 1.32122e13i | −0.300987 | + | 0.521324i | ||||
\(953\) | −5.26991e12 | − | 9.12775e12i | −0.206959 | − | 0.358464i | 0.743796 | − | 0.668407i | \(-0.233023\pi\) |
−0.950755 | + | 0.309943i | \(0.899690\pi\) | |||||||
\(954\) | 7.47463e12 | + | 3.59959e12i | 0.292161 | + | 0.140697i | ||||
\(955\) | 7.73077e11 | − | 2.38463e11i | 0.0300751 | − | 0.00927695i | ||||
\(956\) | 2.41041e12 | − | 3.21647e13i | 0.0933320 | − | 1.24543i | ||||
\(957\) | 1.82475e12 | − | 7.99475e12i | 0.0703233 | − | 0.308107i | ||||
\(958\) | −6.33820e12 | − | 1.61495e13i | −0.243120 | − | 0.619460i | ||||
\(959\) | 3.45921e12 | + | 4.61599e13i | 0.132067 | + | 1.76231i | ||||
\(960\) | −2.24564e12 | − | 3.38475e11i | −0.0853334 | − | 0.0128619i | ||||
\(961\) | 1.93677e13 | − | 1.79706e13i | 0.732524 | − | 0.679683i | ||||
\(962\) | −2.92140e10 | + | 1.40687e10i | −0.00109977 | + | 0.000529623i | ||||
\(963\) | −1.91283e12 | − | 1.30415e12i | −0.0716735 | − | 0.0488661i | ||||
\(964\) | −9.67173e11 | + | 2.46432e12i | −0.0360709 | + | 0.0919072i | ||||
\(965\) | −1.66183e13 | − | 5.12607e12i | −0.616898 | − | 0.190288i | ||||
\(966\) | 1.47511e13 | + | 1.36870e13i | 0.545039 | + | 0.505722i | ||||
\(967\) | 1.54546e12 | + | 1.93794e12i | 0.0568379 | + | 0.0712725i | 0.809438 | − | 0.587206i | \(-0.199772\pi\) |
−0.752600 | + | 0.658478i | \(0.771201\pi\) | |||||||
\(968\) | −2.21369e12 | − | 2.77588e12i | −0.0810361 | − | 0.101616i | ||||
\(969\) | 2.69712e13 | + | 2.50256e13i | 0.982752 | + | 0.911860i | ||||
\(970\) | 9.54957e11 | + | 2.94565e11i | 0.0346347 | + | 0.0106834i | ||||
\(971\) | 1.31570e13 | − | 3.35235e13i | 0.474974 | − | 1.21021i | −0.469882 | − | 0.882729i | \(-0.655704\pi\) |
0.944856 | − | 0.327485i | \(-0.106201\pi\) | |||||||
\(972\) | 2.64519e13 | + | 1.80346e13i | 0.950514 | + | 0.648050i | ||||
\(973\) | 3.06686e13 | − | 1.47692e13i | 1.09695 | − | 0.528262i | ||||
\(974\) | −1.49901e13 | + | 1.39088e13i | −0.533689 | + | 0.495191i | ||||
\(975\) | −1.43709e11 | − | 2.16606e10i | −0.00509288 | − | 0.000767628i | ||||
\(976\) | 9.48661e11 | + | 1.26590e13i | 0.0334647 | + | 0.446555i | ||||
\(977\) | 8.15050e12 | + | 2.07671e13i | 0.286193 | + | 0.729207i | 0.999595 | + | 0.0284527i | \(0.00905800\pi\) |
−0.713402 | + | 0.700755i | \(0.752847\pi\) | |||||||
\(978\) | 5.55821e12 | − | 2.43521e13i | 0.194272 | − | 0.851160i | ||||
\(979\) | −2.75932e12 | + | 3.68206e13i | −0.0960021 | + | 1.28106i | ||||
\(980\) | 7.89398e11 | − | 2.43497e11i | 0.0273387 | − | 0.00843288i | ||||
\(981\) | −6.54734e13 | − | 3.15303e13i | −2.25712 | − | 1.08697i | ||||
\(982\) | 9.64585e12 | + | 1.67071e13i | 0.331008 | + | 0.573323i | ||||
\(983\) | −1.63789e13 | + | 2.83691e13i | −0.559493 | + | 0.969070i | 0.438046 | + | 0.898953i | \(0.355671\pi\) |
−0.997539 | + | 0.0701177i | \(0.977663\pi\) | |||||||
\(984\) | 2.08322e13 | − | 1.42032e13i | 0.708366 | − | 0.482956i | ||||
\(985\) | −1.26225e12 | − | 5.53027e12i | −0.0427250 | − | 0.187190i | ||||
\(986\) | 1.78358e12 | − | 2.68831e11i | 0.0600961 | − | 0.00905803i | ||||
\(987\) | −3.78588e13 | + | 4.74734e13i | −1.26981 | + | 1.59229i | ||||
\(988\) | −1.18355e11 | −0.00395165 | ||||||||
\(989\) | −1.65016e13 | + | 3.05837e13i | −0.548457 | + | 1.01650i | ||||
\(990\) | −7.39495e12 | −0.244668 | ||||||||
\(991\) | 1.77555e13 | − | 2.22647e13i | 0.584791 | − | 0.733305i | −0.398130 | − | 0.917329i | \(-0.630341\pi\) |
0.982922 | + | 0.184024i | \(0.0589123\pi\) | |||||||
\(992\) | 7.80046e11 | − | 1.17573e11i | 0.0255751 | − | 0.00385483i | ||||
\(993\) | −1.05479e13 | − | 4.62133e13i | −0.344266 | − | 1.50833i | ||||
\(994\) | −1.33835e13 | + | 9.12472e12i | −0.434842 | + | 0.296470i | ||||
\(995\) | 2.89555e12 | − | 5.01524e12i | 0.0936541 | − | 0.162214i | ||||
\(996\) | 2.32906e13 | + | 4.03405e13i | 0.749917 | + | 1.29890i | ||||
\(997\) | 2.67753e13 | + | 1.28943e13i | 0.858234 | + | 0.413304i | 0.810627 | − | 0.585562i | \(-0.199126\pi\) |
0.0476067 | + | 0.998866i | \(0.484841\pi\) | |||||||
\(998\) | −1.64286e13 | + | 5.06754e12i | −0.524218 | + | 0.161700i | ||||
\(999\) | −7.68297e11 | + | 1.02522e13i | −0.0244053 | + | 0.325666i |
(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 | 43.10.g.a.24.19 | yes | 384 | |
43.9 | even | 21 | inner | 43.10.g.a.9.19 | ✓ | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.g.a.9.19 | ✓ | 384 | 43.9 | even | 21 | inner | |
43.10.g.a.24.19 | yes | 384 | 1.1 | even | 1 | trivial |